diff --git a/docs/mathgenerator/_gen_list.html b/docs/mathgenerator/_gen_list.html index bd54949..0fe40f6 100644 --- a/docs/mathgenerator/_gen_list.html +++ b/docs/mathgenerator/_gen_list.html @@ -201,7 +201,8 @@ 126 ("is_composite", "basic_math"), 127 ("complementary_and_supplementary_angle", "geometry"), 128 ("simplify_square_root", "basic_math"), -129] +129 ("line_equation_from_2_points", "algebra"), +130] diff --git a/docs/mathgenerator/algebra.html b/docs/mathgenerator/algebra.html index 839bafd..4a14ddd 100644 --- a/docs/mathgenerator/algebra.html +++ b/docs/mathgenerator/algebra.html @@ -85,6 +85,9 @@
  • linear_equations
    • +
  • + line_equation_from_2_points +
  • log
    • @@ -625,242 +628,284 @@ 487 return f'Given the equations ${problem}$, solve for $x$ and $y$', f'${solution}$' 488 489 -490def log(max_base=3, max_val=8): -491 r"""Logarithm +490def line_equation_from_2_points(max_val=20): +491 r"""Equation of Line from Two Points 492 493 | Ex. Problem | Ex. Solution | 494 | --- | --- | -495 | $log_{3}(243)=$ | $5$ | +495 | Find the equation of the line passing through the points $(-19,-8)$ and $(-2,0)$. | $y=\frac{8}{17}x+\frac{16}{17}$ | 496 """ -497 a = random.randint(1, max_val) -498 b = random.randint(2, max_base) -499 c = pow(b, a) -500 -501 problem = f'$log_{{{b}}}({c})=$' -502 solution = f'${a}$' -503 return problem, solution -504 -505 -506def matrix_multiplication(max_val=100, max_dim=10): -507 r"""Multiply Two Matrices -508 -509 | Ex. Problem | Ex. Solution | -510 | --- | --- | -511 | Multiply $\begin{bmatrix} 15 & 72 \\\ 64 & -20 \\\ 18 & 59 \\\ -21 & -55 \\\ 20 & -12 \\\ -75 & -42 \\\ 47 & 89 \\\ -53 & 27 \\\ -56 & 44 \end{bmatrix}$ and $\begin{bmatrix} 49 & -2 & 68 & -28 \\\ 49 & 6 & 83 & 42 \end{bmatrix}$ | $\begin{bmatrix} 4263 & 402 & 6996 & 2604 \\\ 2156 & -248 & 2692 & -2632 \\\ 3773 & 318 & 6121 & 1974 \\\ -3724 & -288 & -5993 & -1722 \\\ 392 & -112 & 364 & -1064 \\\ -5733 & -102 & -8586 & 336 \\\ 6664 & 440 & 10583 & 2422 \\\ -1274 & 268 & -1363 & 2618 \\\ -588 & 376 & -156 & 3416 \end{bmatrix}$ | -512 """ -513 m = random.randint(2, max_dim) -514 n = random.randint(2, max_dim) -515 k = random.randint(2, max_dim) +497 x1 = random.randint(-max_val, max_val) +498 x2 = random.randint(-max_val, max_val) +499 if x1 == x2: +500 return line_equation_from_2_points(max_val=max_val) +501 y1 = random.randint(-max_val, max_val) +502 y2 = random.randint(-max_val, max_val) +503 m1 = (y2 - y1) // math.gcd(y2 - y1, x2 - x1) +504 m2 = (x2 - x1) // math.gcd(y2 - y1, x2 - x1) +505 c1 = (y1 * (x2 - x1) - (y2 - y1) * x1) // math.gcd(y1 * (x2 - x1) - (y2 - y1) * x1, (x2 - x1)) +506 c2 = (x2 - x1) // math.gcd(y1 * (x2 - x1) - (y2 - y1) * x1, (x2 - x1)) +507 c = rf"{'+' if c1 >= 0 else '-'}\frac{{{abs(c1)}}}{{{c2}}}" if c1 != 0 else "" +508 if c2 < 0: +509 c2 = -c2 +510 c1 = -c1 +511 c = rf"{'+' if c1 >= 0 else '-'}\frac{{{abs(c1)}}}{{{c2}}}" +512 if c2 == 1: +513 c = f"{c1:+}" +514 +515 problem = f'Find the equation of the line passing through the points $({x1},{y1})$ and $({x2},{y2})$.' 516 -517 # generate matrices a and b -518 a = [[random.randint(-max_val, max_val) for _ in range(n)] -519 for _ in range(m)] -520 b = [[random.randint(-max_val, max_val) for _ in range(k)] -521 for _ in range(n)] -522 -523 res = [] -524 for r in range(m): -525 res.append([]) -526 for c in range(k): -527 temp = 0 -528 for t in range(n): -529 temp += a[r][t] * b[t][c] -530 res[r].append(temp) +517 if m1 == 0: +518 return problem, f"$y={c}$" +519 if m2 < 0: +520 m1 = -m1 +521 m2 = -m2 +522 if m2 == 1: +523 if m1 == 1: +524 return problem, f"$y=x{c}$" +525 if m1 == -1: +526 return problem, f"$y=-x{c}$" +527 return problem, f"y={m1}x{c}" +528 +529 return problem, rf"$y=\frac{{{m1}}}{{{m2}}}x{c}$" +530 531 -532 problem = f"Multiply ${bmatrix(a)}$ and ${bmatrix(b)}$" -533 solution = f'${bmatrix(res)}$' -534 return problem, solution -535 -536 -537def midpoint_of_two_points(max_value=20): -538 r"""Midpoint of two points -539 -540 | Ex. Problem | Ex. Solution | -541 | --- | --- | -542 | The midpoint of $(-8,10)$ and $(18,0) = $ | $(5.0,5.0)$ | -543 """ -544 x1 = random.randint(-20, max_value) -545 y1 = random.randint(-20, max_value) -546 x2 = random.randint(-20, max_value) -547 y2 = random.randint(-20, max_value) -548 xm = (x1 + x2) / 2 -549 ym = (y1 + y2) / 2 +532def log(max_base=3, max_val=8): +533 r"""Logarithm +534 +535 | Ex. Problem | Ex. Solution | +536 | --- | --- | +537 | $log_{3}(243)=$ | $5$ | +538 """ +539 a = random.randint(1, max_val) +540 b = random.randint(2, max_base) +541 c = pow(b, a) +542 +543 problem = f'$log_{{{b}}}({c})=$' +544 solution = f'${a}$' +545 return problem, solution +546 +547 +548def matrix_multiplication(max_val=100, max_dim=10): +549 r"""Multiply Two Matrices 550 -551 problem = f"The midpoint of $({x1},{y1})$ and $({x2},{y2}) = $" -552 solution = f"$({xm},{ym})$" -553 return problem, solution -554 -555 -556def multiply_complex_numbers(min_real_imaginary_num=-20, -557 max_real_imaginary_num=20): -558 r"""Multiplication of 2 complex numbers -559 -560 | Ex. Problem | Ex. Solution | -561 | --- | --- | -562 | $(14+18j) * (14+15j) = $ | $(-74+462j)$ | -563 """ -564 num1 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num), -565 random.randint(min_real_imaginary_num, max_real_imaginary_num)) -566 num2 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num), -567 random.randint(min_real_imaginary_num, max_real_imaginary_num)) -568 product = num1 * num2 -569 -570 problem = f"${num1} * {num2} = $" -571 solution = f'${product}$' -572 return problem, solution +551 | Ex. Problem | Ex. Solution | +552 | --- | --- | +553 | Multiply $\begin{bmatrix} 15 & 72 \\\ 64 & -20 \\\ 18 & 59 \\\ -21 & -55 \\\ 20 & -12 \\\ -75 & -42 \\\ 47 & 89 \\\ -53 & 27 \\\ -56 & 44 \end{bmatrix}$ and $\begin{bmatrix} 49 & -2 & 68 & -28 \\\ 49 & 6 & 83 & 42 \end{bmatrix}$ | $\begin{bmatrix} 4263 & 402 & 6996 & 2604 \\\ 2156 & -248 & 2692 & -2632 \\\ 3773 & 318 & 6121 & 1974 \\\ -3724 & -288 & -5993 & -1722 \\\ 392 & -112 & 364 & -1064 \\\ -5733 & -102 & -8586 & 336 \\\ 6664 & 440 & 10583 & 2422 \\\ -1274 & 268 & -1363 & 2618 \\\ -588 & 376 & -156 & 3416 \end{bmatrix}$ | +554 """ +555 m = random.randint(2, max_dim) +556 n = random.randint(2, max_dim) +557 k = random.randint(2, max_dim) +558 +559 # generate matrices a and b +560 a = [[random.randint(-max_val, max_val) for _ in range(n)] +561 for _ in range(m)] +562 b = [[random.randint(-max_val, max_val) for _ in range(k)] +563 for _ in range(n)] +564 +565 res = [] +566 for r in range(m): +567 res.append([]) +568 for c in range(k): +569 temp = 0 +570 for t in range(n): +571 temp += a[r][t] * b[t][c] +572 res[r].append(temp) 573 -574 -575def multiply_int_to_22_matrix(max_matrix_val=10, max_res=100): -576 r"""Multiply Integer to 2x2 Matrix +574 problem = f"Multiply ${bmatrix(a)}$ and ${bmatrix(b)}$" +575 solution = f'${bmatrix(res)}$' +576 return problem, solution 577 -578 | Ex. Problem | Ex. Solution | -579 | --- | --- | -580 | $5 * \begin{bmatrix} 1 & 0 \\\ 2 & 9 \end{bmatrix} =$ | $\begin{bmatrix} 5 & 0 \\\ 10 & 45 \end{bmatrix}$ | -581 """ -582 a = random.randint(0, max_matrix_val) -583 b = random.randint(0, max_matrix_val) -584 c = random.randint(0, max_matrix_val) -585 d = random.randint(0, max_matrix_val) -586 -587 constant = random.randint(0, int(max_res / max(a, b, c, d))) -588 -589 a1 = a * constant -590 b1 = b * constant -591 c1 = c * constant -592 d1 = d * constant -593 lst = [[a, b], [c, d]] -594 lst1 = [[a1, b1], [c1, d1]] -595 -596 problem = f'${constant} * {bmatrix(lst)} =$' -597 solution = f'${bmatrix(lst1)}$' -598 return problem, solution -599 -600 -601def quadratic_equation(max_val=100): -602 r"""Quadratic Equation -603 -604 | Ex. Problem | Ex. Solution | -605 | --- | --- | -606 | What are the zeros of the quadratic equation $22x^2+137x+25=0$ | ${-0.19, -6.04}$ | -607 """ -608 a = random.randint(1, max_val) -609 c = random.randint(1, max_val) -610 b = random.randint( -611 round(math.sqrt(4 * a * c)) + 1, round(math.sqrt(4 * max_val * max_val))) -612 D = math.sqrt(b * b - 4 * a * c) -613 res = {round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)} -614 -615 problem = f"What are the zeros of the quadratic equation ${a}x^2+{b}x+{c}=0$" -616 solution = f'${res}$' -617 return problem, solution -618 +578 +579def midpoint_of_two_points(max_value=20): +580 r"""Midpoint of two points +581 +582 | Ex. Problem | Ex. Solution | +583 | --- | --- | +584 | The midpoint of $(-8,10)$ and $(18,0) = $ | $(5.0,5.0)$ | +585 """ +586 x1 = random.randint(-20, max_value) +587 y1 = random.randint(-20, max_value) +588 x2 = random.randint(-20, max_value) +589 y2 = random.randint(-20, max_value) +590 xm = (x1 + x2) / 2 +591 ym = (y1 + y2) / 2 +592 +593 problem = f"The midpoint of $({x1},{y1})$ and $({x2},{y2}) = $" +594 solution = f"$({xm},{ym})$" +595 return problem, solution +596 +597 +598def multiply_complex_numbers(min_real_imaginary_num=-20, +599 max_real_imaginary_num=20): +600 r"""Multiplication of 2 complex numbers +601 +602 | Ex. Problem | Ex. Solution | +603 | --- | --- | +604 | $(14+18j) * (14+15j) = $ | $(-74+462j)$ | +605 """ +606 num1 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num), +607 random.randint(min_real_imaginary_num, max_real_imaginary_num)) +608 num2 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num), +609 random.randint(min_real_imaginary_num, max_real_imaginary_num)) +610 product = num1 * num2 +611 +612 problem = f"${num1} * {num2} = $" +613 solution = f'${product}$' +614 return problem, solution +615 +616 +617def multiply_int_to_22_matrix(max_matrix_val=10, max_res=100): +618 r"""Multiply Integer to 2x2 Matrix 619 -620def simple_interest(max_principle=10000, -621 max_rate=10, -622 max_time=10): -623 r"""Simple Interest -624 -625 | Ex. Problem | Ex. Solution | -626 | --- | --- | -627 | Simple interest for a principle amount of $7217$ dollars, $3$% rate of interest and for a time period of $10$ years is $=$ | $2165.1$ | -628 """ -629 p = random.randint(1000, max_principle) -630 r = random.randint(1, max_rate) -631 t = random.randint(1, max_time) -632 s = round((p * r * t) / 100, 2) -633 -634 problem = f"Simple interest for a principle amount of ${p}$ dollars, ${r}$% rate of interest and for a time period of ${t}$ years is $=$ " -635 solution = f'${s}$' -636 return problem, solution +620 | Ex. Problem | Ex. Solution | +621 | --- | --- | +622 | $5 * \begin{bmatrix} 1 & 0 \\\ 2 & 9 \end{bmatrix} =$ | $\begin{bmatrix} 5 & 0 \\\ 10 & 45 \end{bmatrix}$ | +623 """ +624 a = random.randint(0, max_matrix_val) +625 b = random.randint(0, max_matrix_val) +626 c = random.randint(0, max_matrix_val) +627 d = random.randint(0, max_matrix_val) +628 +629 constant = random.randint(0, int(max_res / max(a, b, c, d))) +630 +631 a1 = a * constant +632 b1 = b * constant +633 c1 = c * constant +634 d1 = d * constant +635 lst = [[a, b], [c, d]] +636 lst1 = [[a1, b1], [c1, d1]] 637 -638 -639def system_of_equations(range_x=10, -640 range_y=10, -641 coeff_mult_range=10): -642 r"""Solve a System of Equations in R^2 -643 -644 | Ex. Problem | Ex. Solution | -645 | --- | --- | -646 | Given $-x + 5y = -28$ and $9x + 2y = 64$, solve for $x$ and $y$. | $x = 8$, $y = -4$ | -647 """ -648 # Generate solution point first -649 x = random.randint(-range_x, range_x) -650 y = random.randint(-range_y, range_y) -651 # Start from reduced echelon form (coeffs 1) -652 c1 = [1, 0, x] -653 c2 = [0, 1, y] -654 -655 def randNonZero(): -656 return random.choice( -657 [i for i in range(-coeff_mult_range, coeff_mult_range) if i != 0]) -658 -659 # Add random (non-zero) multiple of equations (rows) to each other -660 c1_mult = randNonZero() -661 c2_mult = randNonZero() -662 new_c1 = [c1[i] + c1_mult * c2[i] for i in range(len(c1))] -663 new_c2 = [c2[i] + c2_mult * c1[i] for i in range(len(c2))] -664 # For extra randomness, now add random (non-zero) multiples of original rows -665 # to themselves -666 c1_mult = randNonZero() -667 c2_mult = randNonZero() -668 new_c1 = [new_c1[i] + c1_mult * c1[i] for i in range(len(c1))] -669 new_c2 = [new_c2[i] + c2_mult * c2[i] for i in range(len(c2))] -670 -671 def coeffToFuncString(coeffs): -672 # lots of edge cases for perfect formatting! -673 x_sign = '-' if coeffs[0] < 0 else '' -674 # No redundant 1s -675 x_coeff = str(abs(coeffs[0])) if abs(coeffs[0]) != 1 else '' -676 # If x coeff is 0, dont include x -677 x_str = f'{x_sign}{x_coeff}x' if coeffs[0] != 0 else '' -678 # if x isn't included and y is positive, dont include operator -679 op = ' - ' if coeffs[1] < 0 else (' + ' if x_str != '' else '') -680 # No redundant 1s -681 y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else '' -682 # Don't include if 0, unless x is also 0 (probably never happens) -683 y_str = f'{y_coeff}y' if coeffs[1] != 0 else ( -684 '' if x_str != '' else '0') -685 return f'{x_str}{op}{y_str} = {coeffs[2]}' -686 -687 problem = f"Given ${coeffToFuncString(new_c1)}$ and ${coeffToFuncString(new_c2)}$, solve for $x$ and $y$." -688 solution = f"$x = {x}$, $y = {y}$" -689 return problem, solution -690 # Add random (non-zero) multiple of equations to each other -691 -692 -693def vector_cross(min_val=-20, max_val=20): -694 r"""Cross product of 2 vectors -695 -696 | Ex. Problem | Ex. Solution | -697 | --- | --- | -698 | $[-1, -4, 10] \times [-11, 1, -16] = $ | $[54, -126, -45]$ | -699 """ -700 a = [random.randint(min_val, max_val) for _ in range(3)] -701 b = [random.randint(min_val, max_val) for _ in range(3)] -702 c = [ -703 a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], -704 a[0] * b[1] - a[1] * b[0] -705 ] -706 -707 problem = rf"${a} \times {b} = $" -708 solution = f"${c}$" -709 return problem, solution -710 -711 -712def vector_dot(min_val=-20, max_val=20): -713 r"""Dot product of 2 vectors -714 -715 | Ex. Problem | Ex. Solution | -716 | --- | --- | -717 | $[12, -9, -8]\cdot[-9, 8, 1]=$ | $-188$ | -718 """ -719 a = [random.randint(min_val, max_val) for i in range(3)] -720 b = [random.randint(min_val, max_val) for i in range(3)] -721 c = a[0] * b[0] + a[1] * b[1] + a[2] * b[2] -722 -723 problem = rf'${a}\cdot{b}=$' -724 solution = f'${c}$' -725 return problem, solution +638 problem = f'${constant} * {bmatrix(lst)} =$' +639 solution = f'${bmatrix(lst1)}$' +640 return problem, solution +641 +642 +643def quadratic_equation(max_val=100): +644 r"""Quadratic Equation +645 +646 | Ex. Problem | Ex. Solution | +647 | --- | --- | +648 | What are the zeros of the quadratic equation $22x^2+137x+25=0$ | ${-0.19, -6.04}$ | +649 """ +650 a = random.randint(1, max_val) +651 c = random.randint(1, max_val) +652 b = random.randint( +653 round(math.sqrt(4 * a * c)) + 1, round(math.sqrt(4 * max_val * max_val))) +654 D = math.sqrt(b * b - 4 * a * c) +655 res = {round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)} +656 +657 problem = f"What are the zeros of the quadratic equation ${a}x^2+{b}x+{c}=0$" +658 solution = f'${res}$' +659 return problem, solution +660 +661 +662def simple_interest(max_principle=10000, +663 max_rate=10, +664 max_time=10): +665 r"""Simple Interest +666 +667 | Ex. Problem | Ex. Solution | +668 | --- | --- | +669 | Simple interest for a principle amount of $7217$ dollars, $3$% rate of interest and for a time period of $10$ years is $=$ | $2165.1$ | +670 """ +671 p = random.randint(1000, max_principle) +672 r = random.randint(1, max_rate) +673 t = random.randint(1, max_time) +674 s = round((p * r * t) / 100, 2) +675 +676 problem = f"Simple interest for a principle amount of ${p}$ dollars, ${r}$% rate of interest and for a time period of ${t}$ years is $=$ " +677 solution = f'${s}$' +678 return problem, solution +679 +680 +681def system_of_equations(range_x=10, +682 range_y=10, +683 coeff_mult_range=10): +684 r"""Solve a System of Equations in R^2 +685 +686 | Ex. Problem | Ex. Solution | +687 | --- | --- | +688 | Given $-x + 5y = -28$ and $9x + 2y = 64$, solve for $x$ and $y$. | $x = 8$, $y = -4$ | +689 """ +690 # Generate solution point first +691 x = random.randint(-range_x, range_x) +692 y = random.randint(-range_y, range_y) +693 # Start from reduced echelon form (coeffs 1) +694 c1 = [1, 0, x] +695 c2 = [0, 1, y] +696 +697 def randNonZero(): +698 return random.choice( +699 [i for i in range(-coeff_mult_range, coeff_mult_range) if i != 0]) +700 +701 # Add random (non-zero) multiple of equations (rows) to each other +702 c1_mult = randNonZero() +703 c2_mult = randNonZero() +704 new_c1 = [c1[i] + c1_mult * c2[i] for i in range(len(c1))] +705 new_c2 = [c2[i] + c2_mult * c1[i] for i in range(len(c2))] +706 # For extra randomness, now add random (non-zero) multiples of original rows +707 # to themselves +708 c1_mult = randNonZero() +709 c2_mult = randNonZero() +710 new_c1 = [new_c1[i] + c1_mult * c1[i] for i in range(len(c1))] +711 new_c2 = [new_c2[i] + c2_mult * c2[i] for i in range(len(c2))] +712 +713 def coeffToFuncString(coeffs): +714 # lots of edge cases for perfect formatting! +715 x_sign = '-' if coeffs[0] < 0 else '' +716 # No redundant 1s +717 x_coeff = str(abs(coeffs[0])) if abs(coeffs[0]) != 1 else '' +718 # If x coeff is 0, dont include x +719 x_str = f'{x_sign}{x_coeff}x' if coeffs[0] != 0 else '' +720 # if x isn't included and y is positive, dont include operator +721 op = ' - ' if coeffs[1] < 0 else (' + ' if x_str != '' else '') +722 # No redundant 1s +723 y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else '' +724 # Don't include if 0, unless x is also 0 (probably never happens) +725 y_str = f'{y_coeff}y' if coeffs[1] != 0 else ( +726 '' if x_str != '' else '0') +727 return f'{x_str}{op}{y_str} = {coeffs[2]}' +728 +729 problem = f"Given ${coeffToFuncString(new_c1)}$ and ${coeffToFuncString(new_c2)}$, solve for $x$ and $y$." +730 solution = f"$x = {x}$, $y = {y}$" +731 return problem, solution +732 # Add random (non-zero) multiple of equations to each other +733 +734 +735def vector_cross(min_val=-20, max_val=20): +736 r"""Cross product of 2 vectors +737 +738 | Ex. Problem | Ex. Solution | +739 | --- | --- | +740 | $[-1, -4, 10] \times [-11, 1, -16] = $ | $[54, -126, -45]$ | +741 """ +742 a = [random.randint(min_val, max_val) for _ in range(3)] +743 b = [random.randint(min_val, max_val) for _ in range(3)] +744 c = [ +745 a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2], +746 a[0] * b[1] - a[1] * b[0] +747 ] +748 +749 problem = rf"${a} \times {b} = $" +750 solution = f"${c}$" +751 return problem, solution +752 +753 +754def vector_dot(min_val=-20, max_val=20): +755 r"""Dot product of 2 vectors +756 +757 | Ex. Problem | Ex. Solution | +758 | --- | --- | +759 | $[12, -9, -8]\cdot[-9, 8, 1]=$ | $-188$ | +760 """ +761 a = [random.randint(min_val, max_val) for i in range(3)] +762 b = [random.randint(min_val, max_val) for i in range(3)] +763 c = a[0] * b[0] + a[1] * b[1] + a[2] * b[2] +764 +765 problem = rf'${a}\cdot{b}=$' +766 solution = f'${c}$' +767 return problem, solution @@ -1699,6 +1744,80 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots ( + +
    + +
    + + def + line_equation_from_2_points(max_val=20): + + + +
    + + 
    491def line_equation_from_2_points(max_val=20):
+492    r"""Equation of Line from Two Points
+493
+494    | Ex. Problem | Ex. Solution |
+495    | --- | --- |
+496    | Find the equation of the line passing through the points $(-19,-8)$ and $(-2,0)$. | $y=\frac{8}{17}x+\frac{16}{17}$ |
+497    """
+498    x1 = random.randint(-max_val, max_val)
+499    x2 = random.randint(-max_val, max_val)
+500    if x1 == x2:
+501        return line_equation_from_2_points(max_val=max_val)
+502    y1 = random.randint(-max_val, max_val)
+503    y2 = random.randint(-max_val, max_val)
+504    m1 = (y2 - y1) // math.gcd(y2 - y1, x2 - x1)
+505    m2 = (x2 - x1) // math.gcd(y2 - y1, x2 - x1)
+506    c1 = (y1 * (x2 - x1) - (y2 - y1) * x1) // math.gcd(y1 * (x2 - x1) - (y2 - y1) * x1, (x2 - x1))
+507    c2 = (x2 - x1) // math.gcd(y1 * (x2 - x1) - (y2 - y1) * x1, (x2 - x1))
+508    c = rf"{'+' if c1 >= 0 else '-'}\frac{{{abs(c1)}}}{{{c2}}}" if c1 != 0 else ""
+509    if c2 < 0:
+510        c2 = -c2
+511        c1 = -c1
+512        c = rf"{'+' if c1 >= 0 else '-'}\frac{{{abs(c1)}}}{{{c2}}}"
+513    if c2 == 1:
+514        c = f"{c1:+}"
+515
+516    problem = f'Find the equation of the line passing through the points $({x1},{y1})$ and $({x2},{y2})$.'
+517
+518    if m1 == 0:
+519        return problem, f"$y={c}$"
+520    if m2 < 0:
+521        m1 = -m1
+522        m2 = -m2
+523    if m2 == 1:
+524        if m1 == 1:
+525            return problem, f"$y=x{c}$"
+526        if m1 == -1:
+527            return problem, f"$y=-x{c}$"
+528        return problem, f"y={m1}x{c}"
+529
+530    return problem, rf"$y=\frac{{{m1}}}{{{m2}}}x{c}$"
+
    + + +

    Equation of Line from Two Points

    + + + + + + + + + + + + + + +
    Ex. ProblemEx. Solution
    Find the equation of the line passing through the points $(-19,-8)$ and $(-2,0)$.$y=\frac{8}{17}x+\frac{16}{17}$
    +
    + +
    @@ -1711,20 +1830,20 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots ( - 
    491def log(max_base=3, max_val=8):
-492    r"""Logarithm
-493
-494    | Ex. Problem | Ex. Solution |
-495    | --- | --- |
-496    | $log_{3}(243)=$ | $5$ |
-497    """
-498    a = random.randint(1, max_val)
-499    b = random.randint(2, max_base)
-500    c = pow(b, a)
-501
-502    problem = f'$log_{{{b}}}({c})=$'
-503    solution = f'${a}$'
-504    return problem, solution
+            
    533def log(max_base=3, max_val=8):
+534    r"""Logarithm
+535
+536    | Ex. Problem | Ex. Solution |
+537    | --- | --- |
+538    | $log_{3}(243)=$ | $5$ |
+539    """
+540    a = random.randint(1, max_val)
+541    b = random.randint(2, max_base)
+542    c = pow(b, a)
+543
+544    problem = f'$log_{{{b}}}({c})=$'
+545    solution = f'${a}$'
+546    return problem, solution
 
    
 
 
@@ -1759,35 +1878,35 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    507def matrix_multiplication(max_val=100, max_dim=10):
-508    r"""Multiply Two Matrices
-509
-510    | Ex. Problem | Ex. Solution |
-511    | --- | --- |
-512    | Multiply $\begin{bmatrix} 15 & 72 \\\ 64 & -20 \\\ 18 & 59 \\\ -21 & -55 \\\ 20 & -12 \\\ -75 & -42 \\\ 47 & 89 \\\ -53 & 27 \\\ -56 & 44 \end{bmatrix}$ and $\begin{bmatrix} 49 & -2 & 68 & -28 \\\ 49 & 6 & 83 & 42 \end{bmatrix}$ | $\begin{bmatrix} 4263 & 402 & 6996 & 2604 \\\ 2156 & -248 & 2692 & -2632 \\\ 3773 & 318 & 6121 & 1974 \\\ -3724 & -288 & -5993 & -1722 \\\ 392 & -112 & 364 & -1064 \\\ -5733 & -102 & -8586 & 336 \\\ 6664 & 440 & 10583 & 2422 \\\ -1274 & 268 & -1363 & 2618 \\\ -588 & 376 & -156 & 3416 \end{bmatrix}$ |
-513    """
-514    m = random.randint(2, max_dim)
-515    n = random.randint(2, max_dim)
-516    k = random.randint(2, max_dim)
-517
-518    # generate matrices a and b
-519    a = [[random.randint(-max_val, max_val) for _ in range(n)]
-520         for _ in range(m)]
-521    b = [[random.randint(-max_val, max_val) for _ in range(k)]
-522         for _ in range(n)]
-523
-524    res = []
-525    for r in range(m):
-526        res.append([])
-527        for c in range(k):
-528            temp = 0
-529            for t in range(n):
-530                temp += a[r][t] * b[t][c]
-531            res[r].append(temp)
-532
-533    problem = f"Multiply ${bmatrix(a)}$ and ${bmatrix(b)}$"
-534    solution = f'${bmatrix(res)}$'
-535    return problem, solution
+            
    549def matrix_multiplication(max_val=100, max_dim=10):
+550    r"""Multiply Two Matrices
+551
+552    | Ex. Problem | Ex. Solution |
+553    | --- | --- |
+554    | Multiply $\begin{bmatrix} 15 & 72 \\\ 64 & -20 \\\ 18 & 59 \\\ -21 & -55 \\\ 20 & -12 \\\ -75 & -42 \\\ 47 & 89 \\\ -53 & 27 \\\ -56 & 44 \end{bmatrix}$ and $\begin{bmatrix} 49 & -2 & 68 & -28 \\\ 49 & 6 & 83 & 42 \end{bmatrix}$ | $\begin{bmatrix} 4263 & 402 & 6996 & 2604 \\\ 2156 & -248 & 2692 & -2632 \\\ 3773 & 318 & 6121 & 1974 \\\ -3724 & -288 & -5993 & -1722 \\\ 392 & -112 & 364 & -1064 \\\ -5733 & -102 & -8586 & 336 \\\ 6664 & 440 & 10583 & 2422 \\\ -1274 & 268 & -1363 & 2618 \\\ -588 & 376 & -156 & 3416 \end{bmatrix}$ |
+555    """
+556    m = random.randint(2, max_dim)
+557    n = random.randint(2, max_dim)
+558    k = random.randint(2, max_dim)
+559
+560    # generate matrices a and b
+561    a = [[random.randint(-max_val, max_val) for _ in range(n)]
+562         for _ in range(m)]
+563    b = [[random.randint(-max_val, max_val) for _ in range(k)]
+564         for _ in range(n)]
+565
+566    res = []
+567    for r in range(m):
+568        res.append([])
+569        for c in range(k):
+570            temp = 0
+571            for t in range(n):
+572                temp += a[r][t] * b[t][c]
+573            res[r].append(temp)
+574
+575    problem = f"Multiply ${bmatrix(a)}$ and ${bmatrix(b)}$"
+576    solution = f'${bmatrix(res)}$'
+577    return problem, solution
 
    
 
 
@@ -1822,23 +1941,23 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    538def midpoint_of_two_points(max_value=20):
-539    r"""Midpoint of two points
-540
-541    | Ex. Problem | Ex. Solution |
-542    | --- | --- |
-543    | The midpoint of $(-8,10)$ and $(18,0) = $ | $(5.0,5.0)$ |
-544    """
-545    x1 = random.randint(-20, max_value)
-546    y1 = random.randint(-20, max_value)
-547    x2 = random.randint(-20, max_value)
-548    y2 = random.randint(-20, max_value)
-549    xm = (x1 + x2) / 2
-550    ym = (y1 + y2) / 2
-551
-552    problem = f"The midpoint of $({x1},{y1})$ and $({x2},{y2}) = $"
-553    solution = f"$({xm},{ym})$"
-554    return problem, solution
+            
    580def midpoint_of_two_points(max_value=20):
+581    r"""Midpoint of two points
+582
+583    | Ex. Problem | Ex. Solution |
+584    | --- | --- |
+585    | The midpoint of $(-8,10)$ and $(18,0) = $ | $(5.0,5.0)$ |
+586    """
+587    x1 = random.randint(-20, max_value)
+588    y1 = random.randint(-20, max_value)
+589    x2 = random.randint(-20, max_value)
+590    y2 = random.randint(-20, max_value)
+591    xm = (x1 + x2) / 2
+592    ym = (y1 + y2) / 2
+593
+594    problem = f"The midpoint of $({x1},{y1})$ and $({x2},{y2}) = $"
+595    solution = f"$({xm},{ym})$"
+596    return problem, solution
 
    
 
 
@@ -1873,23 +1992,23 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    557def multiply_complex_numbers(min_real_imaginary_num=-20,
-558                             max_real_imaginary_num=20):
-559    r"""Multiplication of 2 complex numbers
-560
-561    | Ex. Problem | Ex. Solution |
-562    | --- | --- |
-563    | $(14+18j) * (14+15j) = $ | $(-74+462j)$ |
-564    """
-565    num1 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num),
-566                   random.randint(min_real_imaginary_num, max_real_imaginary_num))
-567    num2 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num),
-568                   random.randint(min_real_imaginary_num, max_real_imaginary_num))
-569    product = num1 * num2
-570
-571    problem = f"${num1} * {num2} = $"
-572    solution = f'${product}$'
-573    return problem, solution
+            
    599def multiply_complex_numbers(min_real_imaginary_num=-20,
+600                             max_real_imaginary_num=20):
+601    r"""Multiplication of 2 complex numbers
+602
+603    | Ex. Problem | Ex. Solution |
+604    | --- | --- |
+605    | $(14+18j) * (14+15j) = $ | $(-74+462j)$ |
+606    """
+607    num1 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num),
+608                   random.randint(min_real_imaginary_num, max_real_imaginary_num))
+609    num2 = complex(random.randint(min_real_imaginary_num, max_real_imaginary_num),
+610                   random.randint(min_real_imaginary_num, max_real_imaginary_num))
+611    product = num1 * num2
+612
+613    problem = f"${num1} * {num2} = $"
+614    solution = f'${product}$'
+615    return problem, solution
 
    
 
 
@@ -1924,30 +2043,30 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    576def multiply_int_to_22_matrix(max_matrix_val=10, max_res=100):
-577    r"""Multiply Integer to 2x2 Matrix
-578
-579    | Ex. Problem | Ex. Solution |
-580    | --- | --- |
-581    | $5 * \begin{bmatrix} 1 & 0 \\\ 2 & 9 \end{bmatrix} =$ | $\begin{bmatrix} 5 & 0 \\\ 10 & 45 \end{bmatrix}$ |
-582    """
-583    a = random.randint(0, max_matrix_val)
-584    b = random.randint(0, max_matrix_val)
-585    c = random.randint(0, max_matrix_val)
-586    d = random.randint(0, max_matrix_val)
-587
-588    constant = random.randint(0, int(max_res / max(a, b, c, d)))
-589
-590    a1 = a * constant
-591    b1 = b * constant
-592    c1 = c * constant
-593    d1 = d * constant
-594    lst = [[a, b], [c, d]]
-595    lst1 = [[a1, b1], [c1, d1]]
-596
-597    problem = f'${constant} * {bmatrix(lst)} =$'
-598    solution = f'${bmatrix(lst1)}$'
-599    return problem, solution
+            
    618def multiply_int_to_22_matrix(max_matrix_val=10, max_res=100):
+619    r"""Multiply Integer to 2x2 Matrix
+620
+621    | Ex. Problem | Ex. Solution |
+622    | --- | --- |
+623    | $5 * \begin{bmatrix} 1 & 0 \\\ 2 & 9 \end{bmatrix} =$ | $\begin{bmatrix} 5 & 0 \\\ 10 & 45 \end{bmatrix}$ |
+624    """
+625    a = random.randint(0, max_matrix_val)
+626    b = random.randint(0, max_matrix_val)
+627    c = random.randint(0, max_matrix_val)
+628    d = random.randint(0, max_matrix_val)
+629
+630    constant = random.randint(0, int(max_res / max(a, b, c, d)))
+631
+632    a1 = a * constant
+633    b1 = b * constant
+634    c1 = c * constant
+635    d1 = d * constant
+636    lst = [[a, b], [c, d]]
+637    lst1 = [[a1, b1], [c1, d1]]
+638
+639    problem = f'${constant} * {bmatrix(lst)} =$'
+640    solution = f'${bmatrix(lst1)}$'
+641    return problem, solution
 
    
 
 
@@ -1982,23 +2101,23 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    602def quadratic_equation(max_val=100):
-603    r"""Quadratic Equation
-604
-605    | Ex. Problem | Ex. Solution |
-606    | --- | --- |
-607    | What are the zeros of the quadratic equation $22x^2+137x+25=0$ | ${-0.19, -6.04}$ |
-608    """
-609    a = random.randint(1, max_val)
-610    c = random.randint(1, max_val)
-611    b = random.randint(
-612        round(math.sqrt(4 * a * c)) + 1, round(math.sqrt(4 * max_val * max_val)))
-613    D = math.sqrt(b * b - 4 * a * c)
-614    res = {round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)}
-615
-616    problem = f"What are the zeros of the quadratic equation ${a}x^2+{b}x+{c}=0$"
-617    solution = f'${res}$'
-618    return problem, solution
+            
    644def quadratic_equation(max_val=100):
+645    r"""Quadratic Equation
+646
+647    | Ex. Problem | Ex. Solution |
+648    | --- | --- |
+649    | What are the zeros of the quadratic equation $22x^2+137x+25=0$ | ${-0.19, -6.04}$ |
+650    """
+651    a = random.randint(1, max_val)
+652    c = random.randint(1, max_val)
+653    b = random.randint(
+654        round(math.sqrt(4 * a * c)) + 1, round(math.sqrt(4 * max_val * max_val)))
+655    D = math.sqrt(b * b - 4 * a * c)
+656    res = {round((-b + D) / (2 * a), 2), round((-b - D) / (2 * a), 2)}
+657
+658    problem = f"What are the zeros of the quadratic equation ${a}x^2+{b}x+{c}=0$"
+659    solution = f'${res}$'
+660    return problem, solution
 
    
 
 
@@ -2033,23 +2152,23 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    621def simple_interest(max_principle=10000,
-622                    max_rate=10,
-623                    max_time=10):
-624    r"""Simple Interest
-625
-626    | Ex. Problem | Ex. Solution |
-627    | --- | --- |
-628    | Simple interest for a principle amount of $7217$ dollars, $3$% rate of interest and for a time period of $10$ years is $=$ | $2165.1$ |
-629    """
-630    p = random.randint(1000, max_principle)
-631    r = random.randint(1, max_rate)
-632    t = random.randint(1, max_time)
-633    s = round((p * r * t) / 100, 2)
-634
-635    problem = f"Simple interest for a principle amount of ${p}$ dollars, ${r}$% rate of interest and for a time period of ${t}$ years is $=$ "
-636    solution = f'${s}$'
-637    return problem, solution
+            
    663def simple_interest(max_principle=10000,
+664                    max_rate=10,
+665                    max_time=10):
+666    r"""Simple Interest
+667
+668    | Ex. Problem | Ex. Solution |
+669    | --- | --- |
+670    | Simple interest for a principle amount of $7217$ dollars, $3$% rate of interest and for a time period of $10$ years is $=$ | $2165.1$ |
+671    """
+672    p = random.randint(1000, max_principle)
+673    r = random.randint(1, max_rate)
+674    t = random.randint(1, max_time)
+675    s = round((p * r * t) / 100, 2)
+676
+677    problem = f"Simple interest for a principle amount of ${p}$ dollars, ${r}$% rate of interest and for a time period of ${t}$ years is $=$ "
+678    solution = f'${s}$'
+679    return problem, solution
 
    
 
 
@@ -2084,58 +2203,58 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    640def system_of_equations(range_x=10,
-641                        range_y=10,
-642                        coeff_mult_range=10):
-643    r"""Solve a System of Equations in R^2
-644
-645    | Ex. Problem | Ex. Solution |
-646    | --- | --- |
-647    | Given $-x + 5y = -28$ and $9x + 2y = 64$, solve for $x$ and $y$. | $x = 8$, $y = -4$ |
-648    """
-649    # Generate solution point first
-650    x = random.randint(-range_x, range_x)
-651    y = random.randint(-range_y, range_y)
-652    # Start from reduced echelon form (coeffs 1)
-653    c1 = [1, 0, x]
-654    c2 = [0, 1, y]
-655
-656    def randNonZero():
-657        return random.choice(
-658            [i for i in range(-coeff_mult_range, coeff_mult_range) if i != 0])
-659
-660    # Add random (non-zero) multiple of equations (rows) to each other
-661    c1_mult = randNonZero()
-662    c2_mult = randNonZero()
-663    new_c1 = [c1[i] + c1_mult * c2[i] for i in range(len(c1))]
-664    new_c2 = [c2[i] + c2_mult * c1[i] for i in range(len(c2))]
-665    # For extra randomness, now add random (non-zero) multiples of original rows
-666    # to themselves
-667    c1_mult = randNonZero()
-668    c2_mult = randNonZero()
-669    new_c1 = [new_c1[i] + c1_mult * c1[i] for i in range(len(c1))]
-670    new_c2 = [new_c2[i] + c2_mult * c2[i] for i in range(len(c2))]
-671
-672    def coeffToFuncString(coeffs):
-673        # lots of edge cases for perfect formatting!
-674        x_sign = '-' if coeffs[0] < 0 else ''
-675        # No redundant 1s
-676        x_coeff = str(abs(coeffs[0])) if abs(coeffs[0]) != 1 else ''
-677        # If x coeff is 0, dont include x
-678        x_str = f'{x_sign}{x_coeff}x' if coeffs[0] != 0 else ''
-679        # if x isn't included and y is positive, dont include operator
-680        op = ' - ' if coeffs[1] < 0 else (' + ' if x_str != '' else '')
-681        # No redundant 1s
-682        y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else ''
-683        # Don't include if 0, unless x is also 0 (probably never happens)
-684        y_str = f'{y_coeff}y' if coeffs[1] != 0 else (
-685            '' if x_str != '' else '0')
-686        return f'{x_str}{op}{y_str} = {coeffs[2]}'
-687
-688    problem = f"Given ${coeffToFuncString(new_c1)}$ and ${coeffToFuncString(new_c2)}$, solve for $x$ and $y$."
-689    solution = f"$x = {x}$, $y = {y}$"
-690    return problem, solution
-691    # Add random (non-zero) multiple of equations to each other
+            
    682def system_of_equations(range_x=10,
+683                        range_y=10,
+684                        coeff_mult_range=10):
+685    r"""Solve a System of Equations in R^2
+686
+687    | Ex. Problem | Ex. Solution |
+688    | --- | --- |
+689    | Given $-x + 5y = -28$ and $9x + 2y = 64$, solve for $x$ and $y$. | $x = 8$, $y = -4$ |
+690    """
+691    # Generate solution point first
+692    x = random.randint(-range_x, range_x)
+693    y = random.randint(-range_y, range_y)
+694    # Start from reduced echelon form (coeffs 1)
+695    c1 = [1, 0, x]
+696    c2 = [0, 1, y]
+697
+698    def randNonZero():
+699        return random.choice(
+700            [i for i in range(-coeff_mult_range, coeff_mult_range) if i != 0])
+701
+702    # Add random (non-zero) multiple of equations (rows) to each other
+703    c1_mult = randNonZero()
+704    c2_mult = randNonZero()
+705    new_c1 = [c1[i] + c1_mult * c2[i] for i in range(len(c1))]
+706    new_c2 = [c2[i] + c2_mult * c1[i] for i in range(len(c2))]
+707    # For extra randomness, now add random (non-zero) multiples of original rows
+708    # to themselves
+709    c1_mult = randNonZero()
+710    c2_mult = randNonZero()
+711    new_c1 = [new_c1[i] + c1_mult * c1[i] for i in range(len(c1))]
+712    new_c2 = [new_c2[i] + c2_mult * c2[i] for i in range(len(c2))]
+713
+714    def coeffToFuncString(coeffs):
+715        # lots of edge cases for perfect formatting!
+716        x_sign = '-' if coeffs[0] < 0 else ''
+717        # No redundant 1s
+718        x_coeff = str(abs(coeffs[0])) if abs(coeffs[0]) != 1 else ''
+719        # If x coeff is 0, dont include x
+720        x_str = f'{x_sign}{x_coeff}x' if coeffs[0] != 0 else ''
+721        # if x isn't included and y is positive, dont include operator
+722        op = ' - ' if coeffs[1] < 0 else (' + ' if x_str != '' else '')
+723        # No redundant 1s
+724        y_coeff = abs(coeffs[1]) if abs(coeffs[1]) != 1 else ''
+725        # Don't include if 0, unless x is also 0 (probably never happens)
+726        y_str = f'{y_coeff}y' if coeffs[1] != 0 else (
+727            '' if x_str != '' else '0')
+728        return f'{x_str}{op}{y_str} = {coeffs[2]}'
+729
+730    problem = f"Given ${coeffToFuncString(new_c1)}$ and ${coeffToFuncString(new_c2)}$, solve for $x$ and $y$."
+731    solution = f"$x = {x}$, $y = {y}$"
+732    return problem, solution
+733    # Add random (non-zero) multiple of equations to each other
 
    
 
 
@@ -2170,23 +2289,23 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    694def vector_cross(min_val=-20, max_val=20):
-695    r"""Cross product of 2 vectors
-696
-697    | Ex. Problem | Ex. Solution |
-698    | --- | --- |
-699    | $[-1, -4, 10] \times [-11, 1, -16] = $ | $[54, -126, -45]$ |
-700    """
-701    a = [random.randint(min_val, max_val) for _ in range(3)]
-702    b = [random.randint(min_val, max_val) for _ in range(3)]
-703    c = [
-704        a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2],
-705        a[0] * b[1] - a[1] * b[0]
-706    ]
-707
-708    problem = rf"${a} \times {b} = $"
-709    solution = f"${c}$"
-710    return problem, solution
+            
    736def vector_cross(min_val=-20, max_val=20):
+737    r"""Cross product of 2 vectors
+738
+739    | Ex. Problem | Ex. Solution |
+740    | --- | --- |
+741    | $[-1, -4, 10] \times [-11, 1, -16] = $ | $[54, -126, -45]$ |
+742    """
+743    a = [random.randint(min_val, max_val) for _ in range(3)]
+744    b = [random.randint(min_val, max_val) for _ in range(3)]
+745    c = [
+746        a[1] * b[2] - a[2] * b[1], a[2] * b[0] - a[0] * b[2],
+747        a[0] * b[1] - a[1] * b[0]
+748    ]
+749
+750    problem = rf"${a} \times {b} = $"
+751    solution = f"${c}$"
+752    return problem, solution
 
    
 
 
@@ -2221,20 +2340,20 @@ Given a quadratic equation in the form x^2 + bx + c, factor it into it's roots (
    - 
    713def vector_dot(min_val=-20, max_val=20):
-714    r"""Dot product of 2 vectors
-715
-716    | Ex. Problem | Ex. Solution |
-717    | --- | --- |
-718    | $[12, -9, -8]\cdot[-9, 8, 1]=$ | $-188$ |
-719    """
-720    a = [random.randint(min_val, max_val) for i in range(3)]
-721    b = [random.randint(min_val, max_val) for i in range(3)]
-722    c = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
-723
-724    problem = rf'${a}\cdot{b}=$'
-725    solution = f'${c}$'
-726    return problem, solution
+            
    755def vector_dot(min_val=-20, max_val=20):
+756    r"""Dot product of 2 vectors
+757
+758    | Ex. Problem | Ex. Solution |
+759    | --- | --- |
+760    | $[12, -9, -8]\cdot[-9, 8, 1]=$ | $-188$ |
+761    """
+762    a = [random.randint(min_val, max_val) for i in range(3)]
+763    b = [random.randint(min_val, max_val) for i in range(3)]
+764    c = a[0] * b[0] + a[1] * b[1] + a[2] * b[2]
+765
+766    problem = rf'${a}\cdot{b}=$'
+767    solution = f'${c}$'
+768    return problem, solution
 
    
 
 
diff --git a/docs/mathgenerator/basic_math.html b/docs/mathgenerator/basic_math.html
index b7b909c..290a6db 100644
--- a/docs/mathgenerator/basic_math.html
+++ b/docs/mathgenerator/basic_math.html
@@ -552,11 +552,11 @@
     411            f += 1
 412    a = b = 1
 413    for i in factors.keys():
-414        if factors[i]&1 == 0:
-415           a *= i ** (factors[i] // 2)
+414        if factors[i] & 1 == 0:
+415            a *= i ** (factors[i] // 2)
 416        else:
-417           a *= i ** ((factors[i]-1) // 2)
-418           b *= i
+417            a *= i ** ((factors[i] - 1) // 2)
+418            b *= i
 419    if a == 1 or b == 1:
 420        return simplify_square_root(max_variable)
 421    else:
@@ -1642,11 +1642,11 @@
 412            f += 1
 413    a = b = 1
 414    for i in factors.keys():
-415        if factors[i]&1 == 0:
-416           a *= i ** (factors[i] // 2)
+415        if factors[i] & 1 == 0:
+416            a *= i ** (factors[i] // 2)
 417        else:
-418           a *= i ** ((factors[i]-1) // 2)
-419           b *= i
+418            a *= i ** ((factors[i] - 1) // 2)
+419            b *= i
 420    if a == 1 or b == 1:
 421        return simplify_square_root(max_variable)
 422    else:
diff --git a/docs/search.js b/docs/search.js
index 071c720..781e3d6 100644
--- a/docs/search.js
+++ b/docs/search.js
@@ -1,6 +1,6 @@
 window.pdocSearch = (function(){
 /** elasticlunr - http://weixsong.github.io * Copyright (C) 2017 Oliver Nightingale * Copyright (C) 2017 Wei Song * MIT Licensed */!function(){function e(e){if(null===e||"object"!=typeof e)return e;var t=e.constructor();for(var n in e)e.hasOwnProperty(n)&&(t[n]=e[n]);return t}var t=function(e){var n=new t.Index;return n.pipeline.add(t.trimmer,t.stopWordFilter,t.stemmer),e&&e.call(n,n),n};t.version="0.9.5",lunr=t,t.utils={},t.utils.warn=function(e){return function(t){e.console&&console.warn&&console.warn(t)}}(this),t.utils.toString=function(e){return void 0===e||null===e?"":e.toString()},t.EventEmitter=function(){this.events={}},t.EventEmitter.prototype.addListener=function(){var e=Array.prototype.slice.call(arguments),t=e.pop(),n=e;if("function"!=typeof t)throw new TypeError("last argument must be a function");n.forEach(function(e){this.hasHandler(e)||(this.events[e]=[]),this.events[e].push(t)},this)},t.EventEmitter.prototype.removeListener=function(e,t){if(this.hasHandler(e)){var n=this.events[e].indexOf(t);-1!==n&&(this.events[e].splice(n,1),0==this.events[e].length&&delete this.events[e])}},t.EventEmitter.prototype.emit=function(e){if(this.hasHandler(e)){var t=Array.prototype.slice.call(arguments,1);this.events[e].forEach(function(e){e.apply(void 0,t)},this)}},t.EventEmitter.prototype.hasHandler=function(e){return e in this.events},t.tokenizer=function(e){if(!arguments.length||null===e||void 0===e)return[];if(Array.isArray(e)){var n=e.filter(function(e){return null===e||void 0===e?!1:!0});n=n.map(function(e){return t.utils.toString(e).toLowerCase()});var i=[];return n.forEach(function(e){var n=e.split(t.tokenizer.seperator);i=i.concat(n)},this),i}return e.toString().trim().toLowerCase().split(t.tokenizer.seperator)},t.tokenizer.defaultSeperator=/[\s\-]+/,t.tokenizer.seperator=t.tokenizer.defaultSeperator,t.tokenizer.setSeperator=function(e){null!==e&&void 0!==e&&"object"==typeof e&&(t.tokenizer.seperator=e)},t.tokenizer.resetSeperator=function(){t.tokenizer.seperator=t.tokenizer.defaultSeperator},t.tokenizer.getSeperator=function(){return t.tokenizer.seperator},t.Pipeline=function(){this._queue=[]},t.Pipeline.registeredFunctions={},t.Pipeline.registerFunction=function(e,n){n in t.Pipeline.registeredFunctions&&t.utils.warn("Overwriting existing registered function: "+n),e.label=n,t.Pipeline.registeredFunctions[n]=e},t.Pipeline.getRegisteredFunction=function(e){return e in t.Pipeline.registeredFunctions!=!0?null:t.Pipeline.registeredFunctions[e]},t.Pipeline.warnIfFunctionNotRegistered=function(e){var n=e.label&&e.label in this.registeredFunctions;n||t.utils.warn("Function is not registered with pipeline. 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this.config},t.Configuration.prototype.reset=function(){this.config={}},lunr.SortedSet=function(){this.length=0,this.elements=[]},lunr.SortedSet.load=function(e){var t=new this;return t.elements=e,t.length=e.length,t},lunr.SortedSet.prototype.add=function(){var e,t;for(e=0;e1;){if(r===e)return o;e>r&&(t=o),r>e&&(n=o),i=n-t,o=t+Math.floor(i/2),r=this.elements[o]}return r===e?o:-1},lunr.SortedSet.prototype.locationFor=function(e){for(var t=0,n=this.elements.length,i=n-t,o=t+Math.floor(i/2),r=this.elements[o];i>1;)e>r&&(t=o),r>e&&(n=o),i=n-t,o=t+Math.floor(i/2),r=this.elements[o];return r>e?o:e>r?o+1:void 0},lunr.SortedSet.prototype.intersect=function(e){for(var t=new lunr.SortedSet,n=0,i=0,o=this.length,r=e.length,s=this.elements,u=e.elements;;){if(n>o-1||i>r-1)break;s[n]!==u[i]?s[n]u[i]&&i++:(t.add(s[n]),n++,i++)}return t},lunr.SortedSet.prototype.clone=function(){var e=new lunr.SortedSet;return e.elements=this.toArray(),e.length=e.elements.length,e},lunr.SortedSet.prototype.union=function(e){var t,n,i;this.length>=e.length?(t=this,n=e):(t=e,n=this),i=t.clone();for(var o=0,r=n.toArray();omathgenerator\n\n
    A math problem generator, created for the purpose of giving teachers and students the means to easily get access to random math exercises to suit their needs.
    \n\n
    To try out generators, go to https://mathgenerator-demo.netlify.app
    \n\n
    See CONTRIBUTING.md for information about how to contribute.
    \n\n
    Table of Contents
    \n\n\n\n
    Installation
    \n\n
    The project can be install via pip
    \n\n
    \n
    pip install mathgenerator\n
    \n
    \n\n
    Usage
    \n\n
    Here is an example of how you would generate an addition problem:
    \n\n
    \n
    import mathgenerator\n\n#generate an addition problem\nproblem, solution = mathgenerator.addition()\n\n#another way to generate an addition problem using genById()\nproblem, solution = mathgenerator.genById(0)\n
    \n
    \n\n
    You may prefer to use import mathgenerator as mg and run functions like mg.addition() so that you don't have to type as much.\n\nProblem/solution pairs are generated with either:
    \n\n
      \n
    • mathgenerator.<generator_name>() - generates a problem, solution set from the given generator name.
      • \n
    • mathgenerator.genById(id) - generates a problem, solution set with generator id provided by the id parameter
      • \n
    \n\n
    \nYou can also use getGenList() to return a list of all generators included in the library in the format:\n\n\n
    [funcname, subjectname]\n
    \n\n
    Documentation
    \n\n
    Documentation can be found at https://lukew3.github.io/mathgenerator
    \n"}, "mathgenerator.get_gen_list": {"fullname": "mathgenerator.get_gen_list", "modulename": "mathgenerator", "qualname": "get_gen_list", "kind": "function", "doc": "
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.gen_by_id": {"fullname": "mathgenerator.gen_by_id", "modulename": "mathgenerator", "qualname": "gen_by_id", "kind": "function", "doc": "
    \n", "signature": "(id, *args, **kwargs):", "funcdef": "def"}, "mathgenerator.getGenList": {"fullname": "mathgenerator.getGenList", "modulename": "mathgenerator", "qualname": "getGenList", "kind": "function", "doc": "
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.genById": {"fullname": "mathgenerator.genById", "modulename": "mathgenerator", "qualname": "genById", "kind": "function", "doc": "
    \n", "signature": "(id, *args, **kwargs):", "funcdef": "def"}, "mathgenerator.algebra": {"fullname": "mathgenerator.algebra", "modulename": "mathgenerator.algebra", "kind": "module", "doc": "
    \n"}, "mathgenerator.algebra.basic_algebra": {"fullname": "mathgenerator.algebra.basic_algebra", "modulename": "mathgenerator.algebra", "qualname": "basic_algebra", "kind": "function", "doc": "
    Basic Algebra
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $1x + 5 = 5$$0$
    \n", "signature": "(max_variable=10):", "funcdef": "def"}, "mathgenerator.algebra.combine_like_terms": {"fullname": "mathgenerator.algebra.combine_like_terms", "modulename": "mathgenerator.algebra", "qualname": "combine_like_terms", "kind": "function", "doc": "
    Combine Like Terms
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $6x^{9} + 3x^{2} + 5x^{19} + 3x^{17}$$3x^{2} + 6x^{9} + 3x^{17} + 5x^{19}$
    \n", "signature": "(max_coef=10, max_exp=20, max_terms=10):", "funcdef": "def"}, "mathgenerator.algebra.complex_quadratic": {"fullname": "mathgenerator.algebra.complex_quadratic", "modulename": "mathgenerator.algebra", "qualname": "complex_quadratic", "kind": "function", "doc": "
    Complex Quadratic Equation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the roots of given Quadratic Equation $x^2 + 8x + 8 = 0$$((-1.172, -6.828)) = (\\frac{-8 + \\sqrt{32}}{21}, (\\frac{-8 - \\sqrt{32}}{21})$
    \n", "signature": "(prob_type=0, max_range=10):", "funcdef": "def"}, "mathgenerator.algebra.compound_interest": {"fullname": "mathgenerator.algebra.compound_interest", "modulename": "mathgenerator.algebra", "qualname": "compound_interest", "kind": "function", "doc": "
    Compound Interest
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Compound interest for a principle amount of $2679$ dollars, $9$% rate of interest and for a time period of $3$ years is $=$$3469.38$
    \n", "signature": "(max_principle=10000, max_rate=10, max_time=10):", "funcdef": "def"}, "mathgenerator.algebra.distance_two_points": {"fullname": "mathgenerator.algebra.distance_two_points", "modulename": "mathgenerator.algebra", "qualname": "distance_two_points", "kind": "function", "doc": "
    Distance between 2 points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the distance between $(-19, -6)$ and $(15, -16)$$\\sqrt{1256}$
    \n", "signature": "(max_val_xy=20, min_val_xy=-20):", "funcdef": "def"}, "mathgenerator.algebra.expanding": {"fullname": "mathgenerator.algebra.expanding", "modulename": "mathgenerator.algebra", "qualname": "expanding", "kind": "function", "doc": "
    Expanding Factored Binomial
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $(x-6)(-3x-3)$$x^2+18x+18$
    \n", "signature": "(range_x1=10, range_x2=10, range_a=10, range_b=10):", "funcdef": "def"}, "mathgenerator.algebra.factoring": {"fullname": "mathgenerator.algebra.factoring", "modulename": "mathgenerator.algebra", "qualname": "factoring", "kind": "function", "doc": "
    Factoring Quadratic\nGiven a quadratic equation in the form x^2 + bx + c, factor it into it's roots (x - x1)(x -x2)
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $x^2+2x-24$$(x-4)(x+6)$
    \n", "signature": "(range_x1=10, range_x2=10):", "funcdef": "def"}, "mathgenerator.algebra.int_matrix_22_determinant": {"fullname": "mathgenerator.algebra.int_matrix_22_determinant", "modulename": "mathgenerator.algebra", "qualname": "int_matrix_22_determinant", "kind": "function", "doc": "
    Determinant to 2x2 Matrix
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\det \\begin{bmatrix} 88 & 40 \\\\ 9 & 91 \\end{bmatrix}= $$7648$
    \n", "signature": "(max_matrix_val=100):", "funcdef": "def"}, "mathgenerator.algebra.intersection_of_two_lines": {"fullname": "mathgenerator.algebra.intersection_of_two_lines", "modulename": "mathgenerator.algebra", "qualname": "intersection_of_two_lines", "kind": "function", "doc": "
    Intersection of two lines
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the point of intersection of the two lines: $y = \\frac{-2}{6}x + 3$ and $y = \\frac{3}{6}x - 8$$(\\frac{66}{5}, \\frac{-7}{5})$
    \n", "signature": "(\tmin_m=-10,\tmax_m=10,\tmin_b=-10,\tmax_b=10,\tmin_denominator=1,\tmax_denominator=6):", "funcdef": "def"}, "mathgenerator.algebra.invert_matrix": {"fullname": "mathgenerator.algebra.invert_matrix", "modulename": "mathgenerator.algebra", "qualname": "invert_matrix", "kind": "function", "doc": "
    Invert Matrix
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Inverse of Matrix $\\begin{bmatrix} 4 & 1 & 4 \\\\ 5 & 1 & 5 \\\\ 12 & 3 & 13 \\end{bmatrix}$ is:$\\begin{bmatrix} 2 & 1 & -1 \\\\ 5 & -4 & 0 \\\\ -3 & 0 & 1 \\end{bmatrix}$
    \n", "signature": "(\tsquare_matrix_dimension=3,\tmax_matrix_element=99,\tonly_integer_elements_in_inverted_matrixe=True):", "funcdef": "def"}, "mathgenerator.algebra.linear_equations": {"fullname": "mathgenerator.algebra.linear_equations", "modulename": "mathgenerator.algebra", "qualname": "linear_equations", "kind": "function", "doc": "
    Linear Equations
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given the equations $10x + -20y = 310$ and $-16x + -17y = 141$, solve for $x$ and $y$$x = 5$, $y = -13$
    \n", "signature": "(n=2, var_range=20, coeff_range=20):", "funcdef": "def"}, "mathgenerator.algebra.log": {"fullname": "mathgenerator.algebra.log", "modulename": "mathgenerator.algebra", "qualname": "log", "kind": "function", "doc": "
    Logarithm
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $log_{3}(243)=$$5$
    \n", "signature": "(max_base=3, max_val=8):", "funcdef": "def"}, "mathgenerator.algebra.matrix_multiplication": {"fullname": "mathgenerator.algebra.matrix_multiplication", "modulename": "mathgenerator.algebra", "qualname": "matrix_multiplication", "kind": "function", "doc": "
    Multiply Two Matrices
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Multiply $\\begin{bmatrix} 15 & 72 \\\\ 64 & -20 \\\\ 18 & 59 \\\\ -21 & -55 \\\\ 20 & -12 \\\\ -75 & -42 \\\\ 47 & 89 \\\\ -53 & 27 \\\\ -56 & 44 \\end{bmatrix}$ and $\\begin{bmatrix} 49 & -2 & 68 & -28 \\\\ 49 & 6 & 83 & 42 \\end{bmatrix}$$\\begin{bmatrix} 4263 & 402 & 6996 & 2604 \\\\ 2156 & -248 & 2692 & -2632 \\\\ 3773 & 318 & 6121 & 1974 \\\\ -3724 & -288 & -5993 & -1722 \\\\ 392 & -112 & 364 & -1064 \\\\ -5733 & -102 & -8586 & 336 \\\\ 6664 & 440 & 10583 & 2422 \\\\ -1274 & 268 & -1363 & 2618 \\\\ -588 & 376 & -156 & 3416 \\end{bmatrix}$
    \n", "signature": "(max_val=100, max_dim=10):", "funcdef": "def"}, "mathgenerator.algebra.midpoint_of_two_points": {"fullname": "mathgenerator.algebra.midpoint_of_two_points", "modulename": "mathgenerator.algebra", "qualname": "midpoint_of_two_points", "kind": "function", "doc": "
    Midpoint of two points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The midpoint of $(-8,10)$ and $(18,0) = $$(5.0,5.0)$
    \n", "signature": "(max_value=20):", "funcdef": "def"}, "mathgenerator.algebra.multiply_complex_numbers": {"fullname": "mathgenerator.algebra.multiply_complex_numbers", "modulename": "mathgenerator.algebra", "qualname": "multiply_complex_numbers", "kind": "function", "doc": "
    Multiplication of 2 complex numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $(14+18j) * (14+15j) = $$(-74+462j)$
    \n", "signature": "(min_real_imaginary_num=-20, max_real_imaginary_num=20):", "funcdef": "def"}, "mathgenerator.algebra.multiply_int_to_22_matrix": {"fullname": "mathgenerator.algebra.multiply_int_to_22_matrix", "modulename": "mathgenerator.algebra", "qualname": "multiply_int_to_22_matrix", "kind": "function", "doc": "
    Multiply Integer to 2x2 Matrix
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $5 * \\begin{bmatrix} 1 & 0 \\\\ 2 & 9 \\end{bmatrix} =$$\\begin{bmatrix} 5 & 0 \\\\ 10 & 45 \\end{bmatrix}$
    \n", "signature": "(max_matrix_val=10, max_res=100):", "funcdef": "def"}, "mathgenerator.algebra.quadratic_equation": {"fullname": "mathgenerator.algebra.quadratic_equation", "modulename": "mathgenerator.algebra", "qualname": "quadratic_equation", "kind": "function", "doc": "
    Quadratic Equation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What are the zeros of the quadratic equation $22x^2+137x+25=0$${-0.19, -6.04}$
    \n", "signature": "(max_val=100):", "funcdef": "def"}, "mathgenerator.algebra.simple_interest": {"fullname": "mathgenerator.algebra.simple_interest", "modulename": "mathgenerator.algebra", "qualname": "simple_interest", "kind": "function", "doc": "
    Simple Interest
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Simple interest for a principle amount of $7217$ dollars, $3$% rate of interest and for a time period of $10$ years is $=$$2165.1$
    \n", "signature": "(max_principle=10000, max_rate=10, max_time=10):", "funcdef": "def"}, "mathgenerator.algebra.system_of_equations": {"fullname": "mathgenerator.algebra.system_of_equations", "modulename": "mathgenerator.algebra", "qualname": "system_of_equations", "kind": "function", "doc": "
    Solve a System of Equations in R^2
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given $-x + 5y = -28$ and $9x + 2y = 64$, solve for $x$ and $y$.$x = 8$, $y = -4$
    \n", "signature": "(range_x=10, range_y=10, coeff_mult_range=10):", "funcdef": "def"}, "mathgenerator.algebra.vector_cross": {"fullname": "mathgenerator.algebra.vector_cross", "modulename": "mathgenerator.algebra", "qualname": "vector_cross", "kind": "function", "doc": "
    Cross product of 2 vectors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $[-1, -4, 10] \\times [-11, 1, -16] = $$[54, -126, -45]$
    \n", "signature": "(min_val=-20, max_val=20):", "funcdef": "def"}, "mathgenerator.algebra.vector_dot": {"fullname": "mathgenerator.algebra.vector_dot", "modulename": "mathgenerator.algebra", "qualname": "vector_dot", "kind": "function", "doc": "
    Dot product of 2 vectors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $[12, -9, -8]\\cdot[-9, 8, 1]=$$-188$
    \n", "signature": "(min_val=-20, max_val=20):", "funcdef": "def"}, "mathgenerator.basic_math": {"fullname": "mathgenerator.basic_math", "modulename": "mathgenerator.basic_math", "kind": "module", "doc": "
    \n"}, "mathgenerator.basic_math.absolute_difference": {"fullname": "mathgenerator.basic_math.absolute_difference", "modulename": "mathgenerator.basic_math", "qualname": "absolute_difference", "kind": "function", "doc": "
    Absolute difference between two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $22-34=$$12$
    \n", "signature": "(max_a=100, max_b=100):", "funcdef": "def"}, "mathgenerator.basic_math.addition": {"fullname": "mathgenerator.basic_math.addition", "modulename": "mathgenerator.basic_math", "qualname": "addition", "kind": "function", "doc": "
    Addition of two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $22+34=$$56$
    \n", "signature": "(max_sum=99, max_addend=50):", "funcdef": "def"}, "mathgenerator.basic_math.compare_fractions": {"fullname": "mathgenerator.basic_math.compare_fractions", "modulename": "mathgenerator.basic_math", "qualname": "compare_fractions", "kind": "function", "doc": "
    Compare Fractions
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Which symbol represents the comparison between $\\frac{1}{2}$ and $\\frac{3}{4}$?$>$
    \n", "signature": "(max_val=10):", "funcdef": "def"}, "mathgenerator.basic_math.cube_root": {"fullname": "mathgenerator.basic_math.cube_root", "modulename": "mathgenerator.basic_math", "qualname": "cube_root", "kind": "function", "doc": "
    Cube Root
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the cube root of: $\\sqrt[3]{125}=$ to 2 decimal places?$5$
    \n", "signature": "(min_no=1, max_no=1000):", "funcdef": "def"}, "mathgenerator.basic_math.divide_fractions": {"fullname": "mathgenerator.basic_math.divide_fractions", "modulename": "mathgenerator.basic_math", "qualname": "divide_fractions", "kind": "function", "doc": "
    Divide Fractions
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\frac{7}{9}\\div\\frac{4}{1}=$$\\frac{7}{36}$
    \n", "signature": "(max_val=10):", "funcdef": "def"}, "mathgenerator.basic_math.division": {"fullname": "mathgenerator.basic_math.division", "modulename": "mathgenerator.basic_math", "qualname": "division", "kind": "function", "doc": "
    Division
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $216\\div24=$$9$
    \n", "signature": "(max_a=25, max_b=25):", "funcdef": "def"}, "mathgenerator.basic_math.exponentiation": {"fullname": "mathgenerator.basic_math.exponentiation", "modulename": "mathgenerator.basic_math", "qualname": "exponentiation", "kind": "function", "doc": "
    Exponentiation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $9^{5}=$$8$
    \n", "signature": "(max_base=20, max_expo=10):", "funcdef": "def"}, "mathgenerator.basic_math.factorial": {"fullname": "mathgenerator.basic_math.factorial", "modulename": "mathgenerator.basic_math", "qualname": "factorial", "kind": "function", "doc": "
    Factorial
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $4! =$$24$
    \n", "signature": "(max_input=6):", "funcdef": "def"}, "mathgenerator.basic_math.fraction_multiplication": {"fullname": "mathgenerator.basic_math.fraction_multiplication", "modulename": "mathgenerator.basic_math", "qualname": "fraction_multiplication", "kind": "function", "doc": "
    Fraction Multiplication
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\frac{3}{10}\\cdot\\frac{6}{7}=$$\\frac{9}{35}$
    \n", "signature": "(max_val=10):", "funcdef": "def"}, "mathgenerator.basic_math.fraction_to_decimal": {"fullname": "mathgenerator.basic_math.fraction_to_decimal", "modulename": "mathgenerator.basic_math", "qualname": "fraction_to_decimal", "kind": "function", "doc": "
    Fraction to Decimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $83\\div80=$$1.04$
    \n", "signature": "(max_res=99, max_divid=99):", "funcdef": "def"}, "mathgenerator.basic_math.greatest_common_divisor": {"fullname": "mathgenerator.basic_math.greatest_common_divisor", "modulename": "mathgenerator.basic_math", "qualname": "greatest_common_divisor", "kind": "function", "doc": "
    Greatest Common Divisor of N Numbers ( GCD / HCF )
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $GCD(488075608, 75348096)=$$8$
    \n", "signature": "(numbers_count=2, max_num=1000):", "funcdef": "def"}, "mathgenerator.basic_math.is_composite": {"fullname": "mathgenerator.basic_math.is_composite", "modulename": "mathgenerator.basic_math", "qualname": "is_composite", "kind": "function", "doc": "
    Is Composite
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Is $171$ composite?Yes
    \n", "signature": "(max_num=250):", "funcdef": "def"}, "mathgenerator.basic_math.is_prime": {"fullname": "mathgenerator.basic_math.is_prime", "modulename": "mathgenerator.basic_math", "qualname": "is_prime", "kind": "function", "doc": "
    Is Prime
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Is $37$ prime?Yes
    \n", "signature": "(max_num=100):", "funcdef": "def"}, "mathgenerator.basic_math.multiplication": {"fullname": "mathgenerator.basic_math.multiplication", "modulename": "mathgenerator.basic_math", "qualname": "multiplication", "kind": "function", "doc": "
    Multiplication
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $10\\cdot9=$$90$
    \n", "signature": "(max_multi=12):", "funcdef": "def"}, "mathgenerator.basic_math.percentage": {"fullname": "mathgenerator.basic_math.percentage", "modulename": "mathgenerator.basic_math", "qualname": "percentage", "kind": "function", "doc": "
    Percentage of a number
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is $45$% of $39$?$17.55$
    \n", "signature": "(max_value=99, max_percentage=99):", "funcdef": "def"}, "mathgenerator.basic_math.percentage_difference": {"fullname": "mathgenerator.basic_math.percentage_difference", "modulename": "mathgenerator.basic_math", "qualname": "percentage_difference", "kind": "function", "doc": "
    Percentage difference between two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the percentage difference between $2$ and $10$?$133.33$
    \n", "signature": "(max_value=200, min_value=0):", "funcdef": "def"}, "mathgenerator.basic_math.percentage_error": {"fullname": "mathgenerator.basic_math.percentage_error", "modulename": "mathgenerator.basic_math", "qualname": "percentage_error", "kind": "function", "doc": "
    Percentage error
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the percentage error when observed value equals $32$ and exact value equals $81$.$60.49$%
    \n", "signature": "(max_value=100, min_value=-100):", "funcdef": "def"}, "mathgenerator.basic_math.power_of_powers": {"fullname": "mathgenerator.basic_math.power_of_powers", "modulename": "mathgenerator.basic_math", "qualname": "power_of_powers", "kind": "function", "doc": "
    Power of Powers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Simplify $18^{10^{8}}$$18^{80}$
    \n", "signature": "(max_base=50, max_power=10):", "funcdef": "def"}, "mathgenerator.basic_math.square": {"fullname": "mathgenerator.basic_math.square", "modulename": "mathgenerator.basic_math", "qualname": "square", "kind": "function", "doc": "
    Square
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $17^2=$$289$
    \n", "signature": "(max_square_num=20):", "funcdef": "def"}, "mathgenerator.basic_math.square_root": {"fullname": "mathgenerator.basic_math.square_root", "modulename": "mathgenerator.basic_math", "qualname": "square_root", "kind": "function", "doc": "
    Square Root
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\sqrt{64}=$$8$
    \n", "signature": "(min_no=1, max_no=12):", "funcdef": "def"}, "mathgenerator.basic_math.simplify_square_root": {"fullname": "mathgenerator.basic_math.simplify_square_root", "modulename": "mathgenerator.basic_math", "qualname": "simplify_square_root", "kind": "function", "doc": "
    Simplify Square Root
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\sqrt{63}$$3\\sqrt{7}$
    \n", "signature": "(max_variable=100):", "funcdef": "def"}, "mathgenerator.basic_math.subtraction": {"fullname": "mathgenerator.basic_math.subtraction", "modulename": "mathgenerator.basic_math", "qualname": "subtraction", "kind": "function", "doc": "
    Subtraction of two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $54-22=$$32$
    \n", "signature": "(max_minuend=99, max_diff=99):", "funcdef": "def"}, "mathgenerator.calculus": {"fullname": "mathgenerator.calculus", "modulename": "mathgenerator.calculus", "kind": "module", "doc": "
    \n"}, "mathgenerator.calculus.definite_integral": {"fullname": "mathgenerator.calculus.definite_integral", "modulename": "mathgenerator.calculus", "qualname": "definite_integral", "kind": "function", "doc": "
    Definite Integral of Quadratic Equation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The definite integral within limits $0$ to $1$ of the equation $28x^2 + 32x + 66 = $$91.33$
    \n", "signature": "(max_coef=100):", "funcdef": "def"}, "mathgenerator.calculus.power_rule_differentiation": {"fullname": "mathgenerator.calculus.power_rule_differentiation", "modulename": "mathgenerator.calculus", "qualname": "power_rule_differentiation", "kind": "function", "doc": "
    Power Rule Differentiation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Differentiate $1x^{5} + 4x^{7} + 4x^{4}$$5x^{4} + 28x^{6} + 16x^{3}$
    \n", "signature": "(max_coef=10, max_exp=10, max_terms=5):", "funcdef": "def"}, "mathgenerator.calculus.power_rule_integration": {"fullname": "mathgenerator.calculus.power_rule_integration", "modulename": "mathgenerator.calculus", "qualname": "power_rule_integration", "kind": "function", "doc": "
    Power Rule Integration
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Integrate $9x^{6} + 2x^{6} + 4x^{3}$$\\frac{9}{6}x^{7} + \\frac{2}{6}x^{7} + \\frac{4}{3}x^{4} + C$
    \n", "signature": "(max_coef=10, max_exp=10, max_terms=5):", "funcdef": "def"}, "mathgenerator.calculus.stationary_points": {"fullname": "mathgenerator.calculus.stationary_points", "modulename": "mathgenerator.calculus", "qualname": "stationary_points", "kind": "function", "doc": "
    Stationary Points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $f(x)=6x^3 + 6x^2 + x + 8$${- \\frac{1}{3} - \\frac{\\sqrt{2}}{6}, - \\frac{1}{3} + \\frac{\\sqrt{2}}{6}}$
    \n", "signature": "(max_exp=3, max_coef=10):", "funcdef": "def"}, "mathgenerator.calculus.trig_differentiation": {"fullname": "mathgenerator.calculus.trig_differentiation", "modulename": "mathgenerator.calculus", "qualname": "trig_differentiation", "kind": "function", "doc": "
    Trigonometric Differentiation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\frac{d}{dx}(\\csc)=$$-\\csc \\cdot \\cot$
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.computer_science": {"fullname": "mathgenerator.computer_science", "modulename": "mathgenerator.computer_science", "kind": "module", "doc": "
    \n"}, "mathgenerator.computer_science.bcd_to_decimal": {"fullname": "mathgenerator.computer_science.bcd_to_decimal", "modulename": "mathgenerator.computer_science", "qualname": "bcd_to_decimal", "kind": "function", "doc": "
    Binary Coded Decimal to Integer
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Integer of Binary Coded Decimal $4 =$$17801$
    \n", "signature": "(max_number=10000):", "funcdef": "def"}, "mathgenerator.computer_science.binary_2s_complement": {"fullname": "mathgenerator.computer_science.binary_2s_complement", "modulename": "mathgenerator.computer_science", "qualname": "binary_2s_complement", "kind": "function", "doc": "
    Binary 2's Complement
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    2's complement of $1011 = $$101$
    \n", "signature": "(maxDigits=10):", "funcdef": "def"}, "mathgenerator.computer_science.binary_complement_1s": {"fullname": "mathgenerator.computer_science.binary_complement_1s", "modulename": "mathgenerator.computer_science", "qualname": "binary_complement_1s", "kind": "function", "doc": "
    Binary Complement 1s
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $1111001 = $$0000110$
    \n", "signature": "(maxDigits=10):", "funcdef": "def"}, "mathgenerator.computer_science.binary_to_decimal": {"fullname": "mathgenerator.computer_science.binary_to_decimal", "modulename": "mathgenerator.computer_science", "qualname": "binary_to_decimal", "kind": "function", "doc": "
    Binary to Decimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $000110$$6$
    \n", "signature": "(max_dig=10):", "funcdef": "def"}, "mathgenerator.computer_science.binary_to_hex": {"fullname": "mathgenerator.computer_science.binary_to_hex", "modulename": "mathgenerator.computer_science", "qualname": "binary_to_hex", "kind": "function", "doc": "
    Binary to Hexidecimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $010101$$0x15$
    \n", "signature": "(max_dig=10):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_bcd": {"fullname": "mathgenerator.computer_science.decimal_to_bcd", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_bcd", "kind": "function", "doc": "
    Decimal to Binary Coded Decimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    BCD of Decimal Number $6575 = $$191015$
    \n", "signature": "(max_number=10000):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_binary": {"fullname": "mathgenerator.computer_science.decimal_to_binary", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_binary", "kind": "function", "doc": "
    Decimal to Binary
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Binary of $4 = $$100$
    \n", "signature": "(max_dec=99):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_hexadeci": {"fullname": "mathgenerator.computer_science.decimal_to_hexadeci", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_hexadeci", "kind": "function", "doc": "
    Decimal to Hexadecimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Hexadecimal of $410 = $$0x19a$
    \n", "signature": "(max_dec=1000):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_octal": {"fullname": "mathgenerator.computer_science.decimal_to_octal", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_octal", "kind": "function", "doc": "
    Decimal to Octal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The decimal number $3698$ in octal is:$0o7162$
    \n", "signature": "(max_decimal=4096):", "funcdef": "def"}, "mathgenerator.computer_science.fibonacci_series": {"fullname": "mathgenerator.computer_science.fibonacci_series", "modulename": "mathgenerator.computer_science", "qualname": "fibonacci_series", "kind": "function", "doc": "
    Fibonacci Series
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The Fibonacci Series of the first ${n}$ numbers is ?$0, 1, 1, 2, 3, 5, 8, 13, 21$
    \n", "signature": "(min_no=1):", "funcdef": "def"}, "mathgenerator.computer_science.modulo_division": {"fullname": "mathgenerator.computer_science.modulo_division", "modulename": "mathgenerator.computer_science", "qualname": "modulo_division", "kind": "function", "doc": "
    Modulo Division
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $43$ % $33 = $$10$
    \n", "signature": "(max_res=99, max_modulo=99):", "funcdef": "def"}, "mathgenerator.computer_science.nth_fibonacci_number": {"fullname": "mathgenerator.computer_science.nth_fibonacci_number", "modulename": "mathgenerator.computer_science", "qualname": "nth_fibonacci_number", "kind": "function", "doc": "
    nth Fibonacci number
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the 85th Fibonacci number?$259695496911123328$
    \n", "signature": "(max_n=100):", "funcdef": "def"}, "mathgenerator.geometry": {"fullname": "mathgenerator.geometry", "modulename": "mathgenerator.geometry", "kind": "module", "doc": "
    \n"}, "mathgenerator.geometry.angle_btw_vectors": {"fullname": "mathgenerator.geometry.angle_btw_vectors", "modulename": "mathgenerator.geometry", "qualname": "angle_btw_vectors", "kind": "function", "doc": "
    Angle between 2 vectors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    angle between the vectors $[363.84, 195.54, 997.08, 39.26, 60.14, 722.7, 888.57, 713.15, 436.22, 712.23, 349.23, 595.91, 191.8, 824.58, 861.56, 122.73, 815.14, 700.68, 506.5]$ and $[760.85, 934.67, 513.37, 796.93, 809.97, 423.54, 162.69, 758.96, 133.42, 478.14, 771.84, 824.88, 483.07, 134.41, 954.41, 893.42, 191.01, 453.97, 648.59]$ is:$0.81$ radians
    \n", "signature": "(max_elt_amt=20):", "funcdef": "def"}, "mathgenerator.geometry.angle_regular_polygon": {"fullname": "mathgenerator.geometry.angle_regular_polygon", "modulename": "mathgenerator.geometry", "qualname": "angle_regular_polygon", "kind": "function", "doc": "
    Angle of a Regular Polygon
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the angle of a regular polygon with $8$ sides$135.0$
    \n", "signature": "(min_val=3, max_val=20):", "funcdef": "def"}, "mathgenerator.geometry.arc_length": {"fullname": "mathgenerator.geometry.arc_length", "modulename": "mathgenerator.geometry", "qualname": "arc_length", "kind": "function", "doc": "
    Arc length of Angle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given radius, $44$ and angle, $184$. Find the arc length of the angle.Arc length of the angle $= 141.30186$
    \n", "signature": "(max_radius=49, max_angle=359):", "funcdef": "def"}, "mathgenerator.geometry.area_of_circle": {"fullname": "mathgenerator.geometry.area_of_circle", "modulename": "mathgenerator.geometry", "qualname": "area_of_circle", "kind": "function", "doc": "
    Area of Circle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Area of circle with radius $29=$$2642.08$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.geometry.area_of_circle_given_center_and_point": {"fullname": "mathgenerator.geometry.area_of_circle_given_center_and_point", "modulename": "mathgenerator.geometry", "qualname": "area_of_circle_given_center_and_point", "kind": "function", "doc": "
    Area of Circle given center and a point on circle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Area of circle with center $(7,-6)$ and passing through $(1.0, -6.0)$ is$113.1$
    \n", "signature": "(max_coordinate=10, max_radius=10):", "funcdef": "def"}, "mathgenerator.geometry.area_of_triangle": {"fullname": "mathgenerator.geometry.area_of_triangle", "modulename": "mathgenerator.geometry", "qualname": "area_of_triangle", "kind": "function", "doc": "
    Area of Triangle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Area of triangle with side lengths: $8, 1, 8 = $$3.99$
    \n", "signature": "(max_a=20, max_b=20):", "funcdef": "def"}, "mathgenerator.geometry.basic_trigonometry": {"fullname": "mathgenerator.geometry.basic_trigonometry", "modulename": "mathgenerator.geometry", "qualname": "basic_trigonometry", "kind": "function", "doc": "
    Trigonometric Values
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\sin(30) = $$\\frac{1}{2}$
    \n", "signature": "(angles=[0, 30, 45, 60, 90], functions=['sin', 'cos', 'tan']):", "funcdef": "def"}, "mathgenerator.geometry.circumference": {"fullname": "mathgenerator.geometry.circumference", "modulename": "mathgenerator.geometry", "qualname": "circumference", "kind": "function", "doc": "
    Circumference of Circle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Circumference of circle with radius $56 = $$351.86$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.geometry.complementary_and_supplementary_angle": {"fullname": "mathgenerator.geometry.complementary_and_supplementary_angle", "modulename": "mathgenerator.geometry", "qualname": "complementary_and_supplementary_angle", "kind": "function", "doc": "
    Complementary and Supplementary Angle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The complementary angle of $15 =$$75$
    \n", "signature": "(max_supp=180, max_comp=90):", "funcdef": "def"}, "mathgenerator.geometry.curved_surface_area_cylinder": {"fullname": "mathgenerator.geometry.curved_surface_area_cylinder", "modulename": "mathgenerator.geometry", "qualname": "curved_surface_area_cylinder", "kind": "function", "doc": "
    Curved surface area of a cylinder
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the curved surface area of a cylinder of radius, $44$ and height, $92$?$25434.33$
    \n", "signature": "(max_radius=49, max_height=99):", "funcdef": "def"}, "mathgenerator.geometry.degree_to_rad": {"fullname": "mathgenerator.geometry.degree_to_rad", "modulename": "mathgenerator.geometry", "qualname": "degree_to_rad", "kind": "function", "doc": "
    Degrees to Radians
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Angle $113$ degrees in radians is:$1.97$
    \n", "signature": "(max_deg=360):", "funcdef": "def"}, "mathgenerator.geometry.equation_of_line_from_two_points": {"fullname": "mathgenerator.geometry.equation_of_line_from_two_points", "modulename": "mathgenerator.geometry", "qualname": "equation_of_line_from_two_points", "kind": "function", "doc": "
    Equation of line from two points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the equation of the line between points $(13,9)$ and $(6,-19)$ in slope-intercept form?$y = 4x -43$
    \n", "signature": "(max_coordinate=20, min_coordinate=-20):", "funcdef": "def"}, "mathgenerator.geometry.fourth_angle_of_quadrilateral": {"fullname": "mathgenerator.geometry.fourth_angle_of_quadrilateral", "modulename": "mathgenerator.geometry", "qualname": "fourth_angle_of_quadrilateral", "kind": "function", "doc": "
    Fourth Angle of Quadrilateral
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Fourth angle of quadrilateral with angles $162 , 43, 78 =$$77$
    \n", "signature": "(max_angle=180):", "funcdef": "def"}, "mathgenerator.geometry.perimeter_of_polygons": {"fullname": "mathgenerator.geometry.perimeter_of_polygons", "modulename": "mathgenerator.geometry", "qualname": "perimeter_of_polygons", "kind": "function", "doc": "
    Perimeter of Polygons
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The perimeter of a $4$ sided polygon with lengths of $30, 105, 78, 106$cm is:$319$
    \n", "signature": "(max_sides=12, max_length=120):", "funcdef": "def"}, "mathgenerator.geometry.pythagorean_theorem": {"fullname": "mathgenerator.geometry.pythagorean_theorem", "modulename": "mathgenerator.geometry", "qualname": "pythagorean_theorem", "kind": "function", "doc": "
    Pythagorean Theorem
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the hypotenuse of a right triangle given the other two sides have lengths $9$ and $10$?$13.45$
    \n", "signature": "(max_length=20):", "funcdef": "def"}, "mathgenerator.geometry.radian_to_deg": {"fullname": "mathgenerator.geometry.radian_to_deg", "modulename": "mathgenerator.geometry", "qualname": "radian_to_deg", "kind": "function", "doc": "
    Radians to Degrees
    \n", "signature": "(max_rad=6.28):", "funcdef": "def"}, "mathgenerator.geometry.sector_area": {"fullname": "mathgenerator.geometry.sector_area", "modulename": "mathgenerator.geometry", "qualname": "sector_area", "kind": "function", "doc": "
    Area of a Sector
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the area of a sector with radius $42$ and angle $83$ degrees?$1277.69$
    \n", "signature": "(max_radius=49, max_angle=359):", "funcdef": "def"}, "mathgenerator.geometry.sum_of_polygon_angles": {"fullname": "mathgenerator.geometry.sum_of_polygon_angles", "modulename": "mathgenerator.geometry", "qualname": "sum_of_polygon_angles", "kind": "function", "doc": "
    Sum of Angles of Polygon
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the sum of interior angles of a polygon with $8$ sides?$1080$
    \n", "signature": "(max_sides=12):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cone": {"fullname": "mathgenerator.geometry.surface_area_cone", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cone", "kind": "function", "doc": "
    Surface area of a cone
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cone with height $= 26m$ and radius $= 6m$ is$616 m^2$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cube": {"fullname": "mathgenerator.geometry.surface_area_cube", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cube", "kind": "function", "doc": "
    Surface area of a cube
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cube with side $= 6m$ is$216 m^2$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cuboid": {"fullname": "mathgenerator.geometry.surface_area_cuboid", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cuboid", "kind": "function", "doc": "
    Surface area of a cuboid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cuboid with sides of lengths: $11m, 20m, 8m$ is$936 m^2$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cylinder": {"fullname": "mathgenerator.geometry.surface_area_cylinder", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cylinder", "kind": "function", "doc": "
    Surface area of a cylinder
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cylinder with height $= 26m$ and radius $= 15m$ is$3864 m^2$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_pyramid": {"fullname": "mathgenerator.geometry.surface_area_pyramid", "modulename": "mathgenerator.geometry", "qualname": "surface_area_pyramid", "kind": "function", "doc": "
    Surface area of a pyramid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of pyramid with base length $= 30m$, base width $= 40m$, and height $= 25m$ is$2400 m^2$
    \n", "signature": "(unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_sphere": {"fullname": "mathgenerator.geometry.surface_area_sphere", "modulename": "mathgenerator.geometry", "qualname": "surface_area_sphere", "kind": "function", "doc": "
    Surface area of a sphere
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of a sphere with radius $= 8m$ is$804.25 m^2$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.third_angle_of_triangle": {"fullname": "mathgenerator.geometry.third_angle_of_triangle", "modulename": "mathgenerator.geometry", "qualname": "third_angle_of_triangle", "kind": "function", "doc": "
    Third Angle of Triangle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Third angle of triangle with angles $10$ and $22 =$$148$
    \n", "signature": "(max_angle=89):", "funcdef": "def"}, "mathgenerator.geometry.valid_triangle": {"fullname": "mathgenerator.geometry.valid_triangle", "modulename": "mathgenerator.geometry", "qualname": "valid_triangle", "kind": "function", "doc": "
    Valid Triangle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Does triangel with sides $10, 31$ and $14$ exist?No
    \n", "signature": "(max_side_length=50):", "funcdef": "def"}, "mathgenerator.geometry.volume_cone": {"fullname": "mathgenerator.geometry.volume_cone", "modulename": "mathgenerator.geometry", "qualname": "volume_cone", "kind": "function", "doc": "
    Volume of a cone
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of cone with height $= 44m$ and radius $= 11m$ is$5575 m^3$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cube": {"fullname": "mathgenerator.geometry.volume_cube", "modulename": "mathgenerator.geometry", "qualname": "volume_cube", "kind": "function", "doc": "
    Volume of a cube\n| Ex. Problem | Ex. Solution |\n| --- | --- |\n| Volume of a cube with a side length of $19m$ is | $6859 m^3$ |
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cuboid": {"fullname": "mathgenerator.geometry.volume_cuboid", "modulename": "mathgenerator.geometry", "qualname": "volume_cuboid", "kind": "function", "doc": "
    Volume of a cuboid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of cuboid with sides = $17m, 11m, 13m$ is$2431 m^3$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cylinder": {"fullname": "mathgenerator.geometry.volume_cylinder", "modulename": "mathgenerator.geometry", "qualname": "volume_cylinder", "kind": "function", "doc": "
    Volume of a cylinder
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of cylinder with height $= 3m$ and radius $= 10m$ is$942 m^3$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cone_frustum": {"fullname": "mathgenerator.geometry.volume_cone_frustum", "modulename": "mathgenerator.geometry", "qualname": "volume_cone_frustum", "kind": "function", "doc": "
    Volume of the frustum of a cone
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of frustum with height $= 30m$ and $r1 = 20m$ is and $r2 = 8m$ is$19603.54 m^3$
    \n", "signature": "(max_r1=20, max_r2=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_hemisphere": {"fullname": "mathgenerator.geometry.volume_hemisphere", "modulename": "mathgenerator.geometry", "qualname": "volume_hemisphere", "kind": "function", "doc": "
    Volume of a hemisphere
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of hemisphere with radius $32m =$$68629.14 m^3$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.geometry.volume_pyramid": {"fullname": "mathgenerator.geometry.volume_pyramid", "modulename": "mathgenerator.geometry", "qualname": "volume_pyramid", "kind": "function", "doc": "
    Volume of a pyramid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of pyramid with base length $= 7 m$, base width $= 18 m$ and height $= 42 m$ is$1764.0 m^3$
    \n", "signature": "(max_length=20, max_width=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_sphere": {"fullname": "mathgenerator.geometry.volume_sphere", "modulename": "mathgenerator.geometry", "qualname": "volume_sphere", "kind": "function", "doc": "
    Volume of a sphere
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of sphere with radius $30 m = $$113097.36 m^3$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.misc": {"fullname": "mathgenerator.misc", "modulename": "mathgenerator.misc", "kind": "module", "doc": "
    \n"}, "mathgenerator.misc.arithmetic_progression_sum": {"fullname": "mathgenerator.misc.arithmetic_progression_sum", "modulename": "mathgenerator.misc", "qualname": "arithmetic_progression_sum", "kind": "function", "doc": "
    Arithmetic Progression Sum
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the sum of first $44$ terms of the AP series: $49, 145, 241 ... $$92972.0$
    \n", "signature": "(max_d=100, max_a=100, max_n=100):", "funcdef": "def"}, "mathgenerator.misc.arithmetic_progression_term": {"fullname": "mathgenerator.misc.arithmetic_progression_term", "modulename": "mathgenerator.misc", "qualname": "arithmetic_progression_term", "kind": "function", "doc": "
    Arithmetic Progression Term
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find term number $12$ of the AP series: $-54, 24, 102 ... $$804$
    \n", "signature": "(max_d=100, max_a=100, max_n=100):", "funcdef": "def"}, "mathgenerator.misc.base_conversion": {"fullname": "mathgenerator.misc.base_conversion", "modulename": "mathgenerator.misc", "qualname": "base_conversion", "kind": "function", "doc": "
    Base Conversion
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Convert $45204$ from base $10$ to base $4$$23002110$
    \n", "signature": "(max_num=60000, max_base=16):", "funcdef": "def"}, "mathgenerator.misc.binomial_distribution": {"fullname": "mathgenerator.misc.binomial_distribution", "modulename": "mathgenerator.misc", "qualname": "binomial_distribution", "kind": "function", "doc": "
    Binomial distribution
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    A manufacturer of metal pistons finds that, on average, $30.56$% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of $20$ pistons will contain no more than $2$ rejected pistons?$3.17$
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.misc.celsius_to_fahrenheit": {"fullname": "mathgenerator.misc.celsius_to_fahrenheit", "modulename": "mathgenerator.misc", "qualname": "celsius_to_fahrenheit", "kind": "function", "doc": "
    Celsius to Fahrenheit
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Convert $-46$ degrees Celsius to degrees Fahrenheit$-50.8$
    \n", "signature": "(max_temp=100):", "funcdef": "def"}, "mathgenerator.misc.common_factors": {"fullname": "mathgenerator.misc.common_factors", "modulename": "mathgenerator.misc", "qualname": "common_factors", "kind": "function", "doc": "
    Common Factors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Common Factors of $100$ and $44 = $$[1, 2, 4]$
    \n", "signature": "(max_val=100):", "funcdef": "def"}, "mathgenerator.misc.complex_to_polar": {"fullname": "mathgenerator.misc.complex_to_polar", "modulename": "mathgenerator.misc", "qualname": "complex_to_polar", "kind": "function", "doc": "
    Complex to polar form
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $19.42(-19.0\\theta + i-4.0\\theta)$$-2.93$
    \n", "signature": "(min_real_imaginary_num=-20, max_real_imaginary_num=20):", "funcdef": "def"}, "mathgenerator.misc.decimal_to_roman_numerals": {"fullname": "mathgenerator.misc.decimal_to_roman_numerals", "modulename": "mathgenerator.misc", "qualname": "decimal_to_roman_numerals", "kind": "function", "doc": "
    Decimal to Roman Numerals
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The number $92$ in roman numerals is:$XCII$
    \n", "signature": "(max_decimal=4000):", "funcdef": "def"}, "mathgenerator.misc.euclidian_norm": {"fullname": "mathgenerator.misc.euclidian_norm", "modulename": "mathgenerator.misc", "qualname": "euclidian_norm", "kind": "function", "doc": "
    Euclidian norm or L2 norm of a vector
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Euclidian norm or L2 norm of the vector $[659.9225071540442, 243.40887829281564, 128.79950053874424, 263.19226900031344]$ is:$761.97$
    \n", "signature": "(maxEltAmt=20):", "funcdef": "def"}, "mathgenerator.misc.factors": {"fullname": "mathgenerator.misc.factors", "modulename": "mathgenerator.misc", "qualname": "factors", "kind": "function", "doc": "
    Factors of a number
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Factors of $176 = $$[1, 2, 4, 8, 11, 16, 22, 44, 88, 176]$
    \n", "signature": "(max_val=1000):", "funcdef": "def"}, "mathgenerator.misc.geometric_mean": {"fullname": "mathgenerator.misc.geometric_mean", "modulename": "mathgenerator.misc", "qualname": "geometric_mean", "kind": "function", "doc": "
    Geometric Mean of N Numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Geometric mean of $3$ numbers $[72, 21, 87] = $$50.86$
    \n", "signature": "(max_value=100, max_count=4):", "funcdef": "def"}, "mathgenerator.misc.geometric_progression": {"fullname": "mathgenerator.misc.geometric_progression", "modulename": "mathgenerator.misc", "qualname": "geometric_progression", "kind": "function", "doc": "
    Geometric Progression
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    For the given GP $[11, 44, 176, 704, 2816, 11264]$. Find the value of a common ratio, 7th term value, sum upto 10th termThe value of a is $11$, common ratio is $4$ , 7th term is $45056$, sum upto 10th term is $3844775.0$
    \n", "signature": "(number_values=6, min_value=2, max_value=12, n_term=7, sum_term=5):", "funcdef": "def"}, "mathgenerator.misc.harmonic_mean": {"fullname": "mathgenerator.misc.harmonic_mean", "modulename": "mathgenerator.misc", "qualname": "harmonic_mean", "kind": "function", "doc": "
    Harmonic Mean of N Numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Harmonic mean of $4$ numbers $52, 56, 25, 57 = $$602.33$
    \n", "signature": "(max_value=100, max_count=4):", "funcdef": "def"}, "mathgenerator.misc.is_leap_year": {"fullname": "mathgenerator.misc.is_leap_year", "modulename": "mathgenerator.misc", "qualname": "is_leap_year", "kind": "function", "doc": "
    Is Leap Year or Not
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Is $2000$ a leap year?$2000$ is a leap year
    \n", "signature": "(minNumber=1900, max_number=2099):", "funcdef": "def"}, "mathgenerator.misc.lcm": {"fullname": "mathgenerator.misc.lcm", "modulename": "mathgenerator.misc", "qualname": "lcm", "kind": "function", "doc": "
    LCM (Least Common Multiple)
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    LCM of $3$ and $18 = $$18$
    \n", "signature": "(max_val=20):", "funcdef": "def"}, "mathgenerator.misc.minutes_to_hours": {"fullname": "mathgenerator.misc.minutes_to_hours", "modulename": "mathgenerator.misc", "qualname": "minutes_to_hours", "kind": "function", "doc": "
    Convert minutes to hours and minutes
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Convert $836$ minutes to hours & minutes$13$ hours and $56$ minutes
    \n", "signature": "(max_minutes=999):", "funcdef": "def"}, "mathgenerator.misc.prime_factors": {"fullname": "mathgenerator.misc.prime_factors", "modulename": "mathgenerator.misc", "qualname": "prime_factors", "kind": "function", "doc": "
    Prime Factors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find prime factors of $30$$2, 3, 5$
    \n", "signature": "(min_val=1, max_val=200):", "funcdef": "def"}, "mathgenerator.misc.product_of_scientific_notations": {"fullname": "mathgenerator.misc.product_of_scientific_notations", "modulename": "mathgenerator.misc", "qualname": "product_of_scientific_notations", "kind": "function", "doc": "
    Product of scientific notations
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Product of scientific notations $5.11 \\times 10^{67}$ and $3.64 \\times 10^{-59} = $$1.86 \\times 10^{9}$
    \n", "signature": "(min_exp_val=-100, max_exp_val=100):", "funcdef": "def"}, "mathgenerator.misc.profit_loss_percent": {"fullname": "mathgenerator.misc.profit_loss_percent", "modulename": "mathgenerator.misc", "qualname": "profit_loss_percent", "kind": "function", "doc": "
    Profit or Loss Percent
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Loss percent when $CP = 751$ and $SP = 290$ is:$61.38$
    \n", "signature": "(max_cp=1000, max_sp=1000):", "funcdef": "def"}, "mathgenerator.misc.quotient_of_power_same_base": {"fullname": "mathgenerator.misc.quotient_of_power_same_base", "modulename": "mathgenerator.misc", "qualname": "quotient_of_power_same_base", "kind": "function", "doc": "
    Quotient of Powers with Same Base
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The Quotient of $5^{6}$ and $5^{8} = $5^{6-8} = 5^{-2}$$0.04$
    \n", "signature": "(max_base=50, max_power=10):", "funcdef": "def"}, "mathgenerator.misc.quotient_of_power_same_power": {"fullname": "mathgenerator.misc.quotient_of_power_same_power", "modulename": "mathgenerator.misc", "qualname": "quotient_of_power_same_power", "kind": "function", "doc": "
    Quotient of Powers with Same Power
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The quotient of $19^{8}$ and $10^{8} = (19/10)^8 = 1.9^{8}$$169.84$
    \n", "signature": "(max_base=50, max_power=10):", "funcdef": "def"}, "mathgenerator.misc.set_operation": {"fullname": "mathgenerator.misc.set_operation", "modulename": "mathgenerator.misc", "qualname": "set_operation", "kind": "function", "doc": "
    Union, Intersection, Difference of Two Sets
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given the two sets $a={1, 2, 4, 5}$, $b={8, 1, 2}. Find the Union, intersection, a-b, b-a, and symmetric differenceUnion is ${1, 2, 4, 5, 8}$. Intersection is ${1, 2}$, a-b is ${4, 5}$, b-a is ${8}$. Symmetric difference is ${4, 5, 8}$.
    \n", "signature": "(min_size=3, max_size=7):", "funcdef": "def"}, "mathgenerator.misc.signum_function": {"fullname": "mathgenerator.misc.signum_function", "modulename": "mathgenerator.misc", "qualname": "signum_function", "kind": "function", "doc": "
    Signum Function
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Signum of $-229$ is =$-1$
    \n", "signature": "(min=-999, max=999):", "funcdef": "def"}, "mathgenerator.misc.surds_comparison": {"fullname": "mathgenerator.misc.surds_comparison", "modulename": "mathgenerator.misc", "qualname": "surds_comparison", "kind": "function", "doc": "
    Comparing Surds
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Fill in the blanks $42^{\\frac{1}{2}}$ _ $45^{\\frac{1}{5}}$$>$
    \n", "signature": "(max_value=100, max_root=10):", "funcdef": "def"}, "mathgenerator.statistics": {"fullname": "mathgenerator.statistics", "modulename": "mathgenerator.statistics", "kind": "module", "doc": "
    \n"}, "mathgenerator.statistics.combinations": {"fullname": "mathgenerator.statistics.combinations", "modulename": "mathgenerator.statistics", "qualname": "combinations", "kind": "function", "doc": "
    Combinations of Objects
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the number of combinations from $19$ objects picked $6$ at a time.$27132$
    \n", "signature": "(max_lengthgth=20):", "funcdef": "def"}, "mathgenerator.statistics.conditional_probability": {"fullname": "mathgenerator.statistics.conditional_probability", "modulename": "mathgenerator.statistics", "qualname": "conditional_probability", "kind": "function", "doc": "
    Conditional Probability
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Someone tested positive for a nasty disease which only $1.18$% of the population have. Test sensitivity (true positive) is equal to $SN=98.73$% whereas test specificity (true negative) $SP=99.99$%. What is the probability that this guy really has that disease?$99.16$%
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.statistics.confidence_interval": {"fullname": "mathgenerator.statistics.confidence_interval", "modulename": "mathgenerator.statistics", "qualname": "confidence_interval", "kind": "function", "doc": "
    Confidence interval For sample S
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The confidence interval for sample $[234, 223, 210, 203, 258, 299, 281, 208, 278, 252, 295, 245, 280, 235, 219, 297, 214, 267, 212, 256, 232, 221]$ with $99$% confidence is$(263.31, 229.33)$
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.statistics.data_summary": {"fullname": "mathgenerator.statistics.data_summary", "modulename": "mathgenerator.statistics", "qualname": "data_summary", "kind": "function", "doc": "
    Mean, Standard Deviation and Variance
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the mean,standard deviation and variance for the data $9, 29, 46, 27, 46, 15, 10, 44, 19, 33, 38, 7, 34, 28, 8$The Mean is $26.2$, Standard Deviation is $186.29$, Variance is $13.65$
    \n", "signature": "(number_values=15, min_val=5, max_val=50):", "funcdef": "def"}, "mathgenerator.statistics.dice_sum_probability": {"fullname": "mathgenerator.statistics.dice_sum_probability", "modulename": "mathgenerator.statistics", "qualname": "dice_sum_probability", "kind": "function", "doc": "
    Probability of a certain sum appearing on faces of dice
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    If $2$ dice are rolled at the same time, the probability of getting a sum of $5 =$$\frac{4}{36}$
    \n", "signature": "(max_dice=3):", "funcdef": "def"}, "mathgenerator.statistics.mean_median": {"fullname": "mathgenerator.statistics.mean_median", "modulename": "mathgenerator.statistics", "qualname": "mean_median", "kind": "function", "doc": "
    Mean and Median
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given the series of numbers $[4, 19, 21, 22, 43, 44, 60, 81, 87, 92]$. Find the arithmatic mean and median of the seriesArithmetic mean of the series is $47.3$ and arithmetic median of this series is $43.5$
    \n", "signature": "(max_length=10):", "funcdef": "def"}, "mathgenerator.statistics.permutation": {"fullname": "mathgenerator.statistics.permutation", "modulename": "mathgenerator.statistics", "qualname": "permutation", "kind": "function", "doc": "
    Permutations
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Number of Permutations from $18$ objects picked $5$ at a time is:$1028160$
    \n", "signature": "(max_lengthgth=20):", "funcdef": "def"}}, "docInfo": {"mathgenerator": {"qualname": 0, "fullname": 1, "annotation": 0, "default_value": 0, "signature": 0, "bases": 0, "doc": 563}, "mathgenerator.get_gen_list": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 7, "bases": 0, "doc": 3}, "mathgenerator.gen_by_id": {"qualname": 3, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 25, "bases": 0, "doc": 3}, "mathgenerator.getGenList": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 7, "bases": 0, "doc": 3}, "mathgenerator.genById": {"qualname": 1, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 25, "bases": 0, "doc": 3}, "mathgenerator.algebra": {"qualname": 0, "fullname": 2, "annotation": 0, "default_value": 0, "signature": 0, "bases": 0, "doc": 3}, "mathgenerator.algebra.basic_algebra": {"qualname": 2, "fullname": 4, "annotation": 0, "default_value": 0, "signature": 17, 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+    /** pdoc search index */const docs = {"version": "0.9.5", "fields": ["qualname", "fullname", "annotation", "default_value", "signature", "bases", "doc"], "ref": "fullname", "documentStore": {"docs": {"mathgenerator": {"fullname": "mathgenerator", "modulename": "mathgenerator", "kind": "module", "doc": "
    mathgenerator
    \n\n
    A math problem generator, created for the purpose of giving teachers and students the means to easily get access to random math exercises to suit their needs.
    \n\n
    To try out generators, go to https://mathgenerator-demo.netlify.app
    \n\n
    See CONTRIBUTING.md for information about how to contribute.
    \n\n
    Table of Contents
    \n\n\n\n
    Installation
    \n\n
    The project can be install via pip
    \n\n
    \n
    pip install mathgenerator\n
    \n
    \n\n
    Usage
    \n\n
    Here is an example of how you would generate an addition problem:
    \n\n
    \n
    import mathgenerator\n\n#generate an addition problem\nproblem, solution = mathgenerator.addition()\n\n#another way to generate an addition problem using genById()\nproblem, solution = mathgenerator.genById(0)\n
    \n
    \n\n
    You may prefer to use import mathgenerator as mg and run functions like mg.addition() so that you don't have to type as much.\n\nProblem/solution pairs are generated with either:
    \n\n
      \n
    • mathgenerator.<generator_name>() - generates a problem, solution set from the given generator name.
      • \n
    • mathgenerator.genById(id) - generates a problem, solution set with generator id provided by the id parameter
      • \n
    \n\n
    \nYou can also use getGenList() to return a list of all generators included in the library in the format:\n\n\n
    [funcname, subjectname]\n
    \n\n
    Documentation
    \n\n
    Documentation can be found at https://lukew3.github.io/mathgenerator
    \n"}, "mathgenerator.get_gen_list": {"fullname": "mathgenerator.get_gen_list", "modulename": "mathgenerator", "qualname": "get_gen_list", "kind": "function", "doc": "
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.gen_by_id": {"fullname": "mathgenerator.gen_by_id", "modulename": "mathgenerator", "qualname": "gen_by_id", "kind": "function", "doc": "
    \n", "signature": "(id, *args, **kwargs):", "funcdef": "def"}, "mathgenerator.getGenList": {"fullname": "mathgenerator.getGenList", "modulename": "mathgenerator", "qualname": "getGenList", "kind": "function", "doc": "
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.genById": {"fullname": "mathgenerator.genById", "modulename": "mathgenerator", "qualname": "genById", "kind": "function", "doc": "
    \n", "signature": "(id, *args, **kwargs):", "funcdef": "def"}, "mathgenerator.algebra": {"fullname": "mathgenerator.algebra", "modulename": "mathgenerator.algebra", "kind": "module", "doc": "
    \n"}, "mathgenerator.algebra.basic_algebra": {"fullname": "mathgenerator.algebra.basic_algebra", "modulename": "mathgenerator.algebra", "qualname": "basic_algebra", "kind": "function", "doc": "
    Basic Algebra
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $1x + 5 = 5$$0$
    \n", "signature": "(max_variable=10):", "funcdef": "def"}, "mathgenerator.algebra.combine_like_terms": {"fullname": "mathgenerator.algebra.combine_like_terms", "modulename": "mathgenerator.algebra", "qualname": "combine_like_terms", "kind": "function", "doc": "
    Combine Like Terms
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $6x^{9} + 3x^{2} + 5x^{19} + 3x^{17}$$3x^{2} + 6x^{9} + 3x^{17} + 5x^{19}$
    \n", "signature": "(max_coef=10, max_exp=20, max_terms=10):", "funcdef": "def"}, "mathgenerator.algebra.complex_quadratic": {"fullname": "mathgenerator.algebra.complex_quadratic", "modulename": "mathgenerator.algebra", "qualname": "complex_quadratic", "kind": "function", "doc": "
    Complex Quadratic Equation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the roots of given Quadratic Equation $x^2 + 8x + 8 = 0$$((-1.172, -6.828)) = (\\frac{-8 + \\sqrt{32}}{21}, (\\frac{-8 - \\sqrt{32}}{21})$
    \n", "signature": "(prob_type=0, max_range=10):", "funcdef": "def"}, "mathgenerator.algebra.compound_interest": {"fullname": "mathgenerator.algebra.compound_interest", "modulename": "mathgenerator.algebra", "qualname": "compound_interest", "kind": "function", "doc": "
    Compound Interest
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Compound interest for a principle amount of $2679$ dollars, $9$% rate of interest and for a time period of $3$ years is $=$$3469.38$
    \n", "signature": "(max_principle=10000, max_rate=10, max_time=10):", "funcdef": "def"}, "mathgenerator.algebra.distance_two_points": {"fullname": "mathgenerator.algebra.distance_two_points", "modulename": "mathgenerator.algebra", "qualname": "distance_two_points", "kind": "function", "doc": "
    Distance between 2 points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the distance between $(-19, -6)$ and $(15, -16)$$\\sqrt{1256}$
    \n", "signature": "(max_val_xy=20, min_val_xy=-20):", "funcdef": "def"}, "mathgenerator.algebra.expanding": {"fullname": "mathgenerator.algebra.expanding", "modulename": "mathgenerator.algebra", "qualname": "expanding", "kind": "function", "doc": "
    Expanding Factored Binomial
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $(x-6)(-3x-3)$$x^2+18x+18$
    \n", "signature": "(range_x1=10, range_x2=10, range_a=10, range_b=10):", "funcdef": "def"}, "mathgenerator.algebra.factoring": {"fullname": "mathgenerator.algebra.factoring", "modulename": "mathgenerator.algebra", "qualname": "factoring", "kind": "function", "doc": "
    Factoring Quadratic\nGiven a quadratic equation in the form x^2 + bx + c, factor it into it's roots (x - x1)(x -x2)
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $x^2+2x-24$$(x-4)(x+6)$
    \n", "signature": "(range_x1=10, range_x2=10):", "funcdef": "def"}, "mathgenerator.algebra.int_matrix_22_determinant": {"fullname": "mathgenerator.algebra.int_matrix_22_determinant", "modulename": "mathgenerator.algebra", "qualname": "int_matrix_22_determinant", "kind": "function", "doc": "
    Determinant to 2x2 Matrix
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\det \\begin{bmatrix} 88 & 40 \\\\ 9 & 91 \\end{bmatrix}= $$7648$
    \n", "signature": "(max_matrix_val=100):", "funcdef": "def"}, "mathgenerator.algebra.intersection_of_two_lines": {"fullname": "mathgenerator.algebra.intersection_of_two_lines", "modulename": "mathgenerator.algebra", "qualname": "intersection_of_two_lines", "kind": "function", "doc": "
    Intersection of two lines
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the point of intersection of the two lines: $y = \\frac{-2}{6}x + 3$ and $y = \\frac{3}{6}x - 8$$(\\frac{66}{5}, \\frac{-7}{5})$
    \n", "signature": "(\tmin_m=-10,\tmax_m=10,\tmin_b=-10,\tmax_b=10,\tmin_denominator=1,\tmax_denominator=6):", "funcdef": "def"}, "mathgenerator.algebra.invert_matrix": {"fullname": "mathgenerator.algebra.invert_matrix", "modulename": "mathgenerator.algebra", "qualname": "invert_matrix", "kind": "function", "doc": "
    Invert Matrix
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Inverse of Matrix $\\begin{bmatrix} 4 & 1 & 4 \\\\ 5 & 1 & 5 \\\\ 12 & 3 & 13 \\end{bmatrix}$ is:$\\begin{bmatrix} 2 & 1 & -1 \\\\ 5 & -4 & 0 \\\\ -3 & 0 & 1 \\end{bmatrix}$
    \n", "signature": "(\tsquare_matrix_dimension=3,\tmax_matrix_element=99,\tonly_integer_elements_in_inverted_matrixe=True):", "funcdef": "def"}, "mathgenerator.algebra.linear_equations": {"fullname": "mathgenerator.algebra.linear_equations", "modulename": "mathgenerator.algebra", "qualname": "linear_equations", "kind": "function", "doc": "
    Linear Equations
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given the equations $10x + -20y = 310$ and $-16x + -17y = 141$, solve for $x$ and $y$$x = 5$, $y = -13$
    \n", "signature": "(n=2, var_range=20, coeff_range=20):", "funcdef": "def"}, "mathgenerator.algebra.line_equation_from_2_points": {"fullname": "mathgenerator.algebra.line_equation_from_2_points", "modulename": "mathgenerator.algebra", "qualname": "line_equation_from_2_points", "kind": "function", "doc": "
    Equation of Line from Two Points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the equation of the line passing through the points $(-19,-8)$ and $(-2,0)$.$y=\\frac{8}{17}x+\\frac{16}{17}$
    \n", "signature": "(max_val=20):", "funcdef": "def"}, "mathgenerator.algebra.log": {"fullname": "mathgenerator.algebra.log", "modulename": "mathgenerator.algebra", "qualname": "log", "kind": "function", "doc": "
    Logarithm
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $log_{3}(243)=$$5$
    \n", "signature": "(max_base=3, max_val=8):", "funcdef": "def"}, "mathgenerator.algebra.matrix_multiplication": {"fullname": "mathgenerator.algebra.matrix_multiplication", "modulename": "mathgenerator.algebra", "qualname": "matrix_multiplication", "kind": "function", "doc": "
    Multiply Two Matrices
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Multiply $\\begin{bmatrix} 15 & 72 \\\\ 64 & -20 \\\\ 18 & 59 \\\\ -21 & -55 \\\\ 20 & -12 \\\\ -75 & -42 \\\\ 47 & 89 \\\\ -53 & 27 \\\\ -56 & 44 \\end{bmatrix}$ and $\\begin{bmatrix} 49 & -2 & 68 & -28 \\\\ 49 & 6 & 83 & 42 \\end{bmatrix}$$\\begin{bmatrix} 4263 & 402 & 6996 & 2604 \\\\ 2156 & -248 & 2692 & -2632 \\\\ 3773 & 318 & 6121 & 1974 \\\\ -3724 & -288 & -5993 & -1722 \\\\ 392 & -112 & 364 & -1064 \\\\ -5733 & -102 & -8586 & 336 \\\\ 6664 & 440 & 10583 & 2422 \\\\ -1274 & 268 & -1363 & 2618 \\\\ -588 & 376 & -156 & 3416 \\end{bmatrix}$
    \n", "signature": "(max_val=100, max_dim=10):", "funcdef": "def"}, "mathgenerator.algebra.midpoint_of_two_points": {"fullname": "mathgenerator.algebra.midpoint_of_two_points", "modulename": "mathgenerator.algebra", "qualname": "midpoint_of_two_points", "kind": "function", "doc": "
    Midpoint of two points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The midpoint of $(-8,10)$ and $(18,0) = $$(5.0,5.0)$
    \n", "signature": "(max_value=20):", "funcdef": "def"}, "mathgenerator.algebra.multiply_complex_numbers": {"fullname": "mathgenerator.algebra.multiply_complex_numbers", "modulename": "mathgenerator.algebra", "qualname": "multiply_complex_numbers", "kind": "function", "doc": "
    Multiplication of 2 complex numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $(14+18j) * (14+15j) = $$(-74+462j)$
    \n", "signature": "(min_real_imaginary_num=-20, max_real_imaginary_num=20):", "funcdef": "def"}, "mathgenerator.algebra.multiply_int_to_22_matrix": {"fullname": "mathgenerator.algebra.multiply_int_to_22_matrix", "modulename": "mathgenerator.algebra", "qualname": "multiply_int_to_22_matrix", "kind": "function", "doc": "
    Multiply Integer to 2x2 Matrix
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $5 * \\begin{bmatrix} 1 & 0 \\\\ 2 & 9 \\end{bmatrix} =$$\\begin{bmatrix} 5 & 0 \\\\ 10 & 45 \\end{bmatrix}$
    \n", "signature": "(max_matrix_val=10, max_res=100):", "funcdef": "def"}, "mathgenerator.algebra.quadratic_equation": {"fullname": "mathgenerator.algebra.quadratic_equation", "modulename": "mathgenerator.algebra", "qualname": "quadratic_equation", "kind": "function", "doc": "
    Quadratic Equation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What are the zeros of the quadratic equation $22x^2+137x+25=0$${-0.19, -6.04}$
    \n", "signature": "(max_val=100):", "funcdef": "def"}, "mathgenerator.algebra.simple_interest": {"fullname": "mathgenerator.algebra.simple_interest", "modulename": "mathgenerator.algebra", "qualname": "simple_interest", "kind": "function", "doc": "
    Simple Interest
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Simple interest for a principle amount of $7217$ dollars, $3$% rate of interest and for a time period of $10$ years is $=$$2165.1$
    \n", "signature": "(max_principle=10000, max_rate=10, max_time=10):", "funcdef": "def"}, "mathgenerator.algebra.system_of_equations": {"fullname": "mathgenerator.algebra.system_of_equations", "modulename": "mathgenerator.algebra", "qualname": "system_of_equations", "kind": "function", "doc": "
    Solve a System of Equations in R^2
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given $-x + 5y = -28$ and $9x + 2y = 64$, solve for $x$ and $y$.$x = 8$, $y = -4$
    \n", "signature": "(range_x=10, range_y=10, coeff_mult_range=10):", "funcdef": "def"}, "mathgenerator.algebra.vector_cross": {"fullname": "mathgenerator.algebra.vector_cross", "modulename": "mathgenerator.algebra", "qualname": "vector_cross", "kind": "function", "doc": "
    Cross product of 2 vectors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $[-1, -4, 10] \\times [-11, 1, -16] = $$[54, -126, -45]$
    \n", "signature": "(min_val=-20, max_val=20):", "funcdef": "def"}, "mathgenerator.algebra.vector_dot": {"fullname": "mathgenerator.algebra.vector_dot", "modulename": "mathgenerator.algebra", "qualname": "vector_dot", "kind": "function", "doc": "
    Dot product of 2 vectors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $[12, -9, -8]\\cdot[-9, 8, 1]=$$-188$
    \n", "signature": "(min_val=-20, max_val=20):", "funcdef": "def"}, "mathgenerator.basic_math": {"fullname": "mathgenerator.basic_math", "modulename": "mathgenerator.basic_math", "kind": "module", "doc": "
    \n"}, "mathgenerator.basic_math.absolute_difference": {"fullname": "mathgenerator.basic_math.absolute_difference", "modulename": "mathgenerator.basic_math", "qualname": "absolute_difference", "kind": "function", "doc": "
    Absolute difference between two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $22-34=$$12$
    \n", "signature": "(max_a=100, max_b=100):", "funcdef": "def"}, "mathgenerator.basic_math.addition": {"fullname": "mathgenerator.basic_math.addition", "modulename": "mathgenerator.basic_math", "qualname": "addition", "kind": "function", "doc": "
    Addition of two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $22+34=$$56$
    \n", "signature": "(max_sum=99, max_addend=50):", "funcdef": "def"}, "mathgenerator.basic_math.compare_fractions": {"fullname": "mathgenerator.basic_math.compare_fractions", "modulename": "mathgenerator.basic_math", "qualname": "compare_fractions", "kind": "function", "doc": "
    Compare Fractions
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Which symbol represents the comparison between $\\frac{1}{2}$ and $\\frac{3}{4}$?$>$
    \n", "signature": "(max_val=10):", "funcdef": "def"}, "mathgenerator.basic_math.cube_root": {"fullname": "mathgenerator.basic_math.cube_root", "modulename": "mathgenerator.basic_math", "qualname": "cube_root", "kind": "function", "doc": "
    Cube Root
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the cube root of: $\\sqrt[3]{125}=$ to 2 decimal places?$5$
    \n", "signature": "(min_no=1, max_no=1000):", "funcdef": "def"}, "mathgenerator.basic_math.divide_fractions": {"fullname": "mathgenerator.basic_math.divide_fractions", "modulename": "mathgenerator.basic_math", "qualname": "divide_fractions", "kind": "function", "doc": "
    Divide Fractions
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\frac{7}{9}\\div\\frac{4}{1}=$$\\frac{7}{36}$
    \n", "signature": "(max_val=10):", "funcdef": "def"}, "mathgenerator.basic_math.division": {"fullname": "mathgenerator.basic_math.division", "modulename": "mathgenerator.basic_math", "qualname": "division", "kind": "function", "doc": "
    Division
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $216\\div24=$$9$
    \n", "signature": "(max_a=25, max_b=25):", "funcdef": "def"}, "mathgenerator.basic_math.exponentiation": {"fullname": "mathgenerator.basic_math.exponentiation", "modulename": "mathgenerator.basic_math", "qualname": "exponentiation", "kind": "function", "doc": "
    Exponentiation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $9^{5}=$$8$
    \n", "signature": "(max_base=20, max_expo=10):", "funcdef": "def"}, "mathgenerator.basic_math.factorial": {"fullname": "mathgenerator.basic_math.factorial", "modulename": "mathgenerator.basic_math", "qualname": "factorial", "kind": "function", "doc": "
    Factorial
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $4! =$$24$
    \n", "signature": "(max_input=6):", "funcdef": "def"}, "mathgenerator.basic_math.fraction_multiplication": {"fullname": "mathgenerator.basic_math.fraction_multiplication", "modulename": "mathgenerator.basic_math", "qualname": "fraction_multiplication", "kind": "function", "doc": "
    Fraction Multiplication
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\frac{3}{10}\\cdot\\frac{6}{7}=$$\\frac{9}{35}$
    \n", "signature": "(max_val=10):", "funcdef": "def"}, "mathgenerator.basic_math.fraction_to_decimal": {"fullname": "mathgenerator.basic_math.fraction_to_decimal", "modulename": "mathgenerator.basic_math", "qualname": "fraction_to_decimal", "kind": "function", "doc": "
    Fraction to Decimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $83\\div80=$$1.04$
    \n", "signature": "(max_res=99, max_divid=99):", "funcdef": "def"}, "mathgenerator.basic_math.greatest_common_divisor": {"fullname": "mathgenerator.basic_math.greatest_common_divisor", "modulename": "mathgenerator.basic_math", "qualname": "greatest_common_divisor", "kind": "function", "doc": "
    Greatest Common Divisor of N Numbers ( GCD / HCF )
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $GCD(488075608, 75348096)=$$8$
    \n", "signature": "(numbers_count=2, max_num=1000):", "funcdef": "def"}, "mathgenerator.basic_math.is_composite": {"fullname": "mathgenerator.basic_math.is_composite", "modulename": "mathgenerator.basic_math", "qualname": "is_composite", "kind": "function", "doc": "
    Is Composite
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Is $171$ composite?Yes
    \n", "signature": "(max_num=250):", "funcdef": "def"}, "mathgenerator.basic_math.is_prime": {"fullname": "mathgenerator.basic_math.is_prime", "modulename": "mathgenerator.basic_math", "qualname": "is_prime", "kind": "function", "doc": "
    Is Prime
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Is $37$ prime?Yes
    \n", "signature": "(max_num=100):", "funcdef": "def"}, "mathgenerator.basic_math.multiplication": {"fullname": "mathgenerator.basic_math.multiplication", "modulename": "mathgenerator.basic_math", "qualname": "multiplication", "kind": "function", "doc": "
    Multiplication
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $10\\cdot9=$$90$
    \n", "signature": "(max_multi=12):", "funcdef": "def"}, "mathgenerator.basic_math.percentage": {"fullname": "mathgenerator.basic_math.percentage", "modulename": "mathgenerator.basic_math", "qualname": "percentage", "kind": "function", "doc": "
    Percentage of a number
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is $45$% of $39$?$17.55$
    \n", "signature": "(max_value=99, max_percentage=99):", "funcdef": "def"}, "mathgenerator.basic_math.percentage_difference": {"fullname": "mathgenerator.basic_math.percentage_difference", "modulename": "mathgenerator.basic_math", "qualname": "percentage_difference", "kind": "function", "doc": "
    Percentage difference between two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the percentage difference between $2$ and $10$?$133.33$
    \n", "signature": "(max_value=200, min_value=0):", "funcdef": "def"}, "mathgenerator.basic_math.percentage_error": {"fullname": "mathgenerator.basic_math.percentage_error", "modulename": "mathgenerator.basic_math", "qualname": "percentage_error", "kind": "function", "doc": "
    Percentage error
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the percentage error when observed value equals $32$ and exact value equals $81$.$60.49$%
    \n", "signature": "(max_value=100, min_value=-100):", "funcdef": "def"}, "mathgenerator.basic_math.power_of_powers": {"fullname": "mathgenerator.basic_math.power_of_powers", "modulename": "mathgenerator.basic_math", "qualname": "power_of_powers", "kind": "function", "doc": "
    Power of Powers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Simplify $18^{10^{8}}$$18^{80}$
    \n", "signature": "(max_base=50, max_power=10):", "funcdef": "def"}, "mathgenerator.basic_math.square": {"fullname": "mathgenerator.basic_math.square", "modulename": "mathgenerator.basic_math", "qualname": "square", "kind": "function", "doc": "
    Square
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $17^2=$$289$
    \n", "signature": "(max_square_num=20):", "funcdef": "def"}, "mathgenerator.basic_math.square_root": {"fullname": "mathgenerator.basic_math.square_root", "modulename": "mathgenerator.basic_math", "qualname": "square_root", "kind": "function", "doc": "
    Square Root
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\sqrt{64}=$$8$
    \n", "signature": "(min_no=1, max_no=12):", "funcdef": "def"}, "mathgenerator.basic_math.simplify_square_root": {"fullname": "mathgenerator.basic_math.simplify_square_root", "modulename": "mathgenerator.basic_math", "qualname": "simplify_square_root", "kind": "function", "doc": "
    Simplify Square Root
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\sqrt{63}$$3\\sqrt{7}$
    \n", "signature": "(max_variable=100):", "funcdef": "def"}, "mathgenerator.basic_math.subtraction": {"fullname": "mathgenerator.basic_math.subtraction", "modulename": "mathgenerator.basic_math", "qualname": "subtraction", "kind": "function", "doc": "
    Subtraction of two numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $54-22=$$32$
    \n", "signature": "(max_minuend=99, max_diff=99):", "funcdef": "def"}, "mathgenerator.calculus": {"fullname": "mathgenerator.calculus", "modulename": "mathgenerator.calculus", "kind": "module", "doc": "
    \n"}, "mathgenerator.calculus.definite_integral": {"fullname": "mathgenerator.calculus.definite_integral", "modulename": "mathgenerator.calculus", "qualname": "definite_integral", "kind": "function", "doc": "
    Definite Integral of Quadratic Equation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The definite integral within limits $0$ to $1$ of the equation $28x^2 + 32x + 66 = $$91.33$
    \n", "signature": "(max_coef=100):", "funcdef": "def"}, "mathgenerator.calculus.power_rule_differentiation": {"fullname": "mathgenerator.calculus.power_rule_differentiation", "modulename": "mathgenerator.calculus", "qualname": "power_rule_differentiation", "kind": "function", "doc": "
    Power Rule Differentiation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Differentiate $1x^{5} + 4x^{7} + 4x^{4}$$5x^{4} + 28x^{6} + 16x^{3}$
    \n", "signature": "(max_coef=10, max_exp=10, max_terms=5):", "funcdef": "def"}, "mathgenerator.calculus.power_rule_integration": {"fullname": "mathgenerator.calculus.power_rule_integration", "modulename": "mathgenerator.calculus", "qualname": "power_rule_integration", "kind": "function", "doc": "
    Power Rule Integration
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Integrate $9x^{6} + 2x^{6} + 4x^{3}$$\\frac{9}{6}x^{7} + \\frac{2}{6}x^{7} + \\frac{4}{3}x^{4} + C$
    \n", "signature": "(max_coef=10, max_exp=10, max_terms=5):", "funcdef": "def"}, "mathgenerator.calculus.stationary_points": {"fullname": "mathgenerator.calculus.stationary_points", "modulename": "mathgenerator.calculus", "qualname": "stationary_points", "kind": "function", "doc": "
    Stationary Points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $f(x)=6x^3 + 6x^2 + x + 8$${- \\frac{1}{3} - \\frac{\\sqrt{2}}{6}, - \\frac{1}{3} + \\frac{\\sqrt{2}}{6}}$
    \n", "signature": "(max_exp=3, max_coef=10):", "funcdef": "def"}, "mathgenerator.calculus.trig_differentiation": {"fullname": "mathgenerator.calculus.trig_differentiation", "modulename": "mathgenerator.calculus", "qualname": "trig_differentiation", "kind": "function", "doc": "
    Trigonometric Differentiation
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\frac{d}{dx}(\\csc)=$$-\\csc \\cdot \\cot$
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.computer_science": {"fullname": "mathgenerator.computer_science", "modulename": "mathgenerator.computer_science", "kind": "module", "doc": "
    \n"}, "mathgenerator.computer_science.bcd_to_decimal": {"fullname": "mathgenerator.computer_science.bcd_to_decimal", "modulename": "mathgenerator.computer_science", "qualname": "bcd_to_decimal", "kind": "function", "doc": "
    Binary Coded Decimal to Integer
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Integer of Binary Coded Decimal $4 =$$17801$
    \n", "signature": "(max_number=10000):", "funcdef": "def"}, "mathgenerator.computer_science.binary_2s_complement": {"fullname": "mathgenerator.computer_science.binary_2s_complement", "modulename": "mathgenerator.computer_science", "qualname": "binary_2s_complement", "kind": "function", "doc": "
    Binary 2's Complement
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    2's complement of $1011 = $$101$
    \n", "signature": "(maxDigits=10):", "funcdef": "def"}, "mathgenerator.computer_science.binary_complement_1s": {"fullname": "mathgenerator.computer_science.binary_complement_1s", "modulename": "mathgenerator.computer_science", "qualname": "binary_complement_1s", "kind": "function", "doc": "
    Binary Complement 1s
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $1111001 = $$0000110$
    \n", "signature": "(maxDigits=10):", "funcdef": "def"}, "mathgenerator.computer_science.binary_to_decimal": {"fullname": "mathgenerator.computer_science.binary_to_decimal", "modulename": "mathgenerator.computer_science", "qualname": "binary_to_decimal", "kind": "function", "doc": "
    Binary to Decimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $000110$$6$
    \n", "signature": "(max_dig=10):", "funcdef": "def"}, "mathgenerator.computer_science.binary_to_hex": {"fullname": "mathgenerator.computer_science.binary_to_hex", "modulename": "mathgenerator.computer_science", "qualname": "binary_to_hex", "kind": "function", "doc": "
    Binary to Hexidecimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $010101$$0x15$
    \n", "signature": "(max_dig=10):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_bcd": {"fullname": "mathgenerator.computer_science.decimal_to_bcd", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_bcd", "kind": "function", "doc": "
    Decimal to Binary Coded Decimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    BCD of Decimal Number $6575 = $$191015$
    \n", "signature": "(max_number=10000):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_binary": {"fullname": "mathgenerator.computer_science.decimal_to_binary", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_binary", "kind": "function", "doc": "
    Decimal to Binary
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Binary of $4 = $$100$
    \n", "signature": "(max_dec=99):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_hexadeci": {"fullname": "mathgenerator.computer_science.decimal_to_hexadeci", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_hexadeci", "kind": "function", "doc": "
    Decimal to Hexadecimal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Hexadecimal of $410 = $$0x19a$
    \n", "signature": "(max_dec=1000):", "funcdef": "def"}, "mathgenerator.computer_science.decimal_to_octal": {"fullname": "mathgenerator.computer_science.decimal_to_octal", "modulename": "mathgenerator.computer_science", "qualname": "decimal_to_octal", "kind": "function", "doc": "
    Decimal to Octal
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The decimal number $3698$ in octal is:$0o7162$
    \n", "signature": "(max_decimal=4096):", "funcdef": "def"}, "mathgenerator.computer_science.fibonacci_series": {"fullname": "mathgenerator.computer_science.fibonacci_series", "modulename": "mathgenerator.computer_science", "qualname": "fibonacci_series", "kind": "function", "doc": "
    Fibonacci Series
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The Fibonacci Series of the first ${n}$ numbers is ?$0, 1, 1, 2, 3, 5, 8, 13, 21$
    \n", "signature": "(min_no=1):", "funcdef": "def"}, "mathgenerator.computer_science.modulo_division": {"fullname": "mathgenerator.computer_science.modulo_division", "modulename": "mathgenerator.computer_science", "qualname": "modulo_division", "kind": "function", "doc": "
    Modulo Division
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $43$ % $33 = $$10$
    \n", "signature": "(max_res=99, max_modulo=99):", "funcdef": "def"}, "mathgenerator.computer_science.nth_fibonacci_number": {"fullname": "mathgenerator.computer_science.nth_fibonacci_number", "modulename": "mathgenerator.computer_science", "qualname": "nth_fibonacci_number", "kind": "function", "doc": "
    nth Fibonacci number
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the 85th Fibonacci number?$259695496911123328$
    \n", "signature": "(max_n=100):", "funcdef": "def"}, "mathgenerator.geometry": {"fullname": "mathgenerator.geometry", "modulename": "mathgenerator.geometry", "kind": "module", "doc": "
    \n"}, "mathgenerator.geometry.angle_btw_vectors": {"fullname": "mathgenerator.geometry.angle_btw_vectors", "modulename": "mathgenerator.geometry", "qualname": "angle_btw_vectors", "kind": "function", "doc": "
    Angle between 2 vectors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    angle between the vectors $[363.84, 195.54, 997.08, 39.26, 60.14, 722.7, 888.57, 713.15, 436.22, 712.23, 349.23, 595.91, 191.8, 824.58, 861.56, 122.73, 815.14, 700.68, 506.5]$ and $[760.85, 934.67, 513.37, 796.93, 809.97, 423.54, 162.69, 758.96, 133.42, 478.14, 771.84, 824.88, 483.07, 134.41, 954.41, 893.42, 191.01, 453.97, 648.59]$ is:$0.81$ radians
    \n", "signature": "(max_elt_amt=20):", "funcdef": "def"}, "mathgenerator.geometry.angle_regular_polygon": {"fullname": "mathgenerator.geometry.angle_regular_polygon", "modulename": "mathgenerator.geometry", "qualname": "angle_regular_polygon", "kind": "function", "doc": "
    Angle of a Regular Polygon
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the angle of a regular polygon with $8$ sides$135.0$
    \n", "signature": "(min_val=3, max_val=20):", "funcdef": "def"}, "mathgenerator.geometry.arc_length": {"fullname": "mathgenerator.geometry.arc_length", "modulename": "mathgenerator.geometry", "qualname": "arc_length", "kind": "function", "doc": "
    Arc length of Angle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given radius, $44$ and angle, $184$. Find the arc length of the angle.Arc length of the angle $= 141.30186$
    \n", "signature": "(max_radius=49, max_angle=359):", "funcdef": "def"}, "mathgenerator.geometry.area_of_circle": {"fullname": "mathgenerator.geometry.area_of_circle", "modulename": "mathgenerator.geometry", "qualname": "area_of_circle", "kind": "function", "doc": "
    Area of Circle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Area of circle with radius $29=$$2642.08$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.geometry.area_of_circle_given_center_and_point": {"fullname": "mathgenerator.geometry.area_of_circle_given_center_and_point", "modulename": "mathgenerator.geometry", "qualname": "area_of_circle_given_center_and_point", "kind": "function", "doc": "
    Area of Circle given center and a point on circle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Area of circle with center $(7,-6)$ and passing through $(1.0, -6.0)$ is$113.1$
    \n", "signature": "(max_coordinate=10, max_radius=10):", "funcdef": "def"}, "mathgenerator.geometry.area_of_triangle": {"fullname": "mathgenerator.geometry.area_of_triangle", "modulename": "mathgenerator.geometry", "qualname": "area_of_triangle", "kind": "function", "doc": "
    Area of Triangle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Area of triangle with side lengths: $8, 1, 8 = $$3.99$
    \n", "signature": "(max_a=20, max_b=20):", "funcdef": "def"}, "mathgenerator.geometry.basic_trigonometry": {"fullname": "mathgenerator.geometry.basic_trigonometry", "modulename": "mathgenerator.geometry", "qualname": "basic_trigonometry", "kind": "function", "doc": "
    Trigonometric Values
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $\\sin(30) = $$\\frac{1}{2}$
    \n", "signature": "(angles=[0, 30, 45, 60, 90], functions=['sin', 'cos', 'tan']):", "funcdef": "def"}, "mathgenerator.geometry.circumference": {"fullname": "mathgenerator.geometry.circumference", "modulename": "mathgenerator.geometry", "qualname": "circumference", "kind": "function", "doc": "
    Circumference of Circle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Circumference of circle with radius $56 = $$351.86$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.geometry.complementary_and_supplementary_angle": {"fullname": "mathgenerator.geometry.complementary_and_supplementary_angle", "modulename": "mathgenerator.geometry", "qualname": "complementary_and_supplementary_angle", "kind": "function", "doc": "
    Complementary and Supplementary Angle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The complementary angle of $15 =$$75$
    \n", "signature": "(max_supp=180, max_comp=90):", "funcdef": "def"}, "mathgenerator.geometry.curved_surface_area_cylinder": {"fullname": "mathgenerator.geometry.curved_surface_area_cylinder", "modulename": "mathgenerator.geometry", "qualname": "curved_surface_area_cylinder", "kind": "function", "doc": "
    Curved surface area of a cylinder
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the curved surface area of a cylinder of radius, $44$ and height, $92$?$25434.33$
    \n", "signature": "(max_radius=49, max_height=99):", "funcdef": "def"}, "mathgenerator.geometry.degree_to_rad": {"fullname": "mathgenerator.geometry.degree_to_rad", "modulename": "mathgenerator.geometry", "qualname": "degree_to_rad", "kind": "function", "doc": "
    Degrees to Radians
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Angle $113$ degrees in radians is:$1.97$
    \n", "signature": "(max_deg=360):", "funcdef": "def"}, "mathgenerator.geometry.equation_of_line_from_two_points": {"fullname": "mathgenerator.geometry.equation_of_line_from_two_points", "modulename": "mathgenerator.geometry", "qualname": "equation_of_line_from_two_points", "kind": "function", "doc": "
    Equation of line from two points
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the equation of the line between points $(13,9)$ and $(6,-19)$ in slope-intercept form?$y = 4x -43$
    \n", "signature": "(max_coordinate=20, min_coordinate=-20):", "funcdef": "def"}, "mathgenerator.geometry.fourth_angle_of_quadrilateral": {"fullname": "mathgenerator.geometry.fourth_angle_of_quadrilateral", "modulename": "mathgenerator.geometry", "qualname": "fourth_angle_of_quadrilateral", "kind": "function", "doc": "
    Fourth Angle of Quadrilateral
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Fourth angle of quadrilateral with angles $162 , 43, 78 =$$77$
    \n", "signature": "(max_angle=180):", "funcdef": "def"}, "mathgenerator.geometry.perimeter_of_polygons": {"fullname": "mathgenerator.geometry.perimeter_of_polygons", "modulename": "mathgenerator.geometry", "qualname": "perimeter_of_polygons", "kind": "function", "doc": "
    Perimeter of Polygons
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The perimeter of a $4$ sided polygon with lengths of $30, 105, 78, 106$cm is:$319$
    \n", "signature": "(max_sides=12, max_length=120):", "funcdef": "def"}, "mathgenerator.geometry.pythagorean_theorem": {"fullname": "mathgenerator.geometry.pythagorean_theorem", "modulename": "mathgenerator.geometry", "qualname": "pythagorean_theorem", "kind": "function", "doc": "
    Pythagorean Theorem
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the hypotenuse of a right triangle given the other two sides have lengths $9$ and $10$?$13.45$
    \n", "signature": "(max_length=20):", "funcdef": "def"}, "mathgenerator.geometry.radian_to_deg": {"fullname": "mathgenerator.geometry.radian_to_deg", "modulename": "mathgenerator.geometry", "qualname": "radian_to_deg", "kind": "function", "doc": "
    Radians to Degrees
    \n", "signature": "(max_rad=6.28):", "funcdef": "def"}, "mathgenerator.geometry.sector_area": {"fullname": "mathgenerator.geometry.sector_area", "modulename": "mathgenerator.geometry", "qualname": "sector_area", "kind": "function", "doc": "
    Area of a Sector
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the area of a sector with radius $42$ and angle $83$ degrees?$1277.69$
    \n", "signature": "(max_radius=49, max_angle=359):", "funcdef": "def"}, "mathgenerator.geometry.sum_of_polygon_angles": {"fullname": "mathgenerator.geometry.sum_of_polygon_angles", "modulename": "mathgenerator.geometry", "qualname": "sum_of_polygon_angles", "kind": "function", "doc": "
    Sum of Angles of Polygon
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    What is the sum of interior angles of a polygon with $8$ sides?$1080$
    \n", "signature": "(max_sides=12):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cone": {"fullname": "mathgenerator.geometry.surface_area_cone", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cone", "kind": "function", "doc": "
    Surface area of a cone
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cone with height $= 26m$ and radius $= 6m$ is$616 m^2$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cube": {"fullname": "mathgenerator.geometry.surface_area_cube", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cube", "kind": "function", "doc": "
    Surface area of a cube
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cube with side $= 6m$ is$216 m^2$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cuboid": {"fullname": "mathgenerator.geometry.surface_area_cuboid", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cuboid", "kind": "function", "doc": "
    Surface area of a cuboid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cuboid with sides of lengths: $11m, 20m, 8m$ is$936 m^2$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_cylinder": {"fullname": "mathgenerator.geometry.surface_area_cylinder", "modulename": "mathgenerator.geometry", "qualname": "surface_area_cylinder", "kind": "function", "doc": "
    Surface area of a cylinder
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of cylinder with height $= 26m$ and radius $= 15m$ is$3864 m^2$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_pyramid": {"fullname": "mathgenerator.geometry.surface_area_pyramid", "modulename": "mathgenerator.geometry", "qualname": "surface_area_pyramid", "kind": "function", "doc": "
    Surface area of a pyramid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of pyramid with base length $= 30m$, base width $= 40m$, and height $= 25m$ is$2400 m^2$
    \n", "signature": "(unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.surface_area_sphere": {"fullname": "mathgenerator.geometry.surface_area_sphere", "modulename": "mathgenerator.geometry", "qualname": "surface_area_sphere", "kind": "function", "doc": "
    Surface area of a sphere
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Surface area of a sphere with radius $= 8m$ is$804.25 m^2$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.third_angle_of_triangle": {"fullname": "mathgenerator.geometry.third_angle_of_triangle", "modulename": "mathgenerator.geometry", "qualname": "third_angle_of_triangle", "kind": "function", "doc": "
    Third Angle of Triangle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Third angle of triangle with angles $10$ and $22 =$$148$
    \n", "signature": "(max_angle=89):", "funcdef": "def"}, "mathgenerator.geometry.valid_triangle": {"fullname": "mathgenerator.geometry.valid_triangle", "modulename": "mathgenerator.geometry", "qualname": "valid_triangle", "kind": "function", "doc": "
    Valid Triangle
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Does triangel with sides $10, 31$ and $14$ exist?No
    \n", "signature": "(max_side_length=50):", "funcdef": "def"}, "mathgenerator.geometry.volume_cone": {"fullname": "mathgenerator.geometry.volume_cone", "modulename": "mathgenerator.geometry", "qualname": "volume_cone", "kind": "function", "doc": "
    Volume of a cone
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of cone with height $= 44m$ and radius $= 11m$ is$5575 m^3$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cube": {"fullname": "mathgenerator.geometry.volume_cube", "modulename": "mathgenerator.geometry", "qualname": "volume_cube", "kind": "function", "doc": "
    Volume of a cube\n| Ex. Problem | Ex. Solution |\n| --- | --- |\n| Volume of a cube with a side length of $19m$ is | $6859 m^3$ |
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cuboid": {"fullname": "mathgenerator.geometry.volume_cuboid", "modulename": "mathgenerator.geometry", "qualname": "volume_cuboid", "kind": "function", "doc": "
    Volume of a cuboid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of cuboid with sides = $17m, 11m, 13m$ is$2431 m^3$
    \n", "signature": "(max_side=20, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cylinder": {"fullname": "mathgenerator.geometry.volume_cylinder", "modulename": "mathgenerator.geometry", "qualname": "volume_cylinder", "kind": "function", "doc": "
    Volume of a cylinder
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of cylinder with height $= 3m$ and radius $= 10m$ is$942 m^3$
    \n", "signature": "(max_radius=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_cone_frustum": {"fullname": "mathgenerator.geometry.volume_cone_frustum", "modulename": "mathgenerator.geometry", "qualname": "volume_cone_frustum", "kind": "function", "doc": "
    Volume of the frustum of a cone
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of frustum with height $= 30m$ and $r1 = 20m$ is and $r2 = 8m$ is$19603.54 m^3$
    \n", "signature": "(max_r1=20, max_r2=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_hemisphere": {"fullname": "mathgenerator.geometry.volume_hemisphere", "modulename": "mathgenerator.geometry", "qualname": "volume_hemisphere", "kind": "function", "doc": "
    Volume of a hemisphere
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of hemisphere with radius $32m =$$68629.14 m^3$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.geometry.volume_pyramid": {"fullname": "mathgenerator.geometry.volume_pyramid", "modulename": "mathgenerator.geometry", "qualname": "volume_pyramid", "kind": "function", "doc": "
    Volume of a pyramid
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of pyramid with base length $= 7 m$, base width $= 18 m$ and height $= 42 m$ is$1764.0 m^3$
    \n", "signature": "(max_length=20, max_width=20, max_height=50, unit='m'):", "funcdef": "def"}, "mathgenerator.geometry.volume_sphere": {"fullname": "mathgenerator.geometry.volume_sphere", "modulename": "mathgenerator.geometry", "qualname": "volume_sphere", "kind": "function", "doc": "
    Volume of a sphere
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Volume of sphere with radius $30 m = $$113097.36 m^3$
    \n", "signature": "(max_radius=100):", "funcdef": "def"}, "mathgenerator.misc": {"fullname": "mathgenerator.misc", "modulename": "mathgenerator.misc", "kind": "module", "doc": "
    \n"}, "mathgenerator.misc.arithmetic_progression_sum": {"fullname": "mathgenerator.misc.arithmetic_progression_sum", "modulename": "mathgenerator.misc", "qualname": "arithmetic_progression_sum", "kind": "function", "doc": "
    Arithmetic Progression Sum
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the sum of first $44$ terms of the AP series: $49, 145, 241 ... $$92972.0$
    \n", "signature": "(max_d=100, max_a=100, max_n=100):", "funcdef": "def"}, "mathgenerator.misc.arithmetic_progression_term": {"fullname": "mathgenerator.misc.arithmetic_progression_term", "modulename": "mathgenerator.misc", "qualname": "arithmetic_progression_term", "kind": "function", "doc": "
    Arithmetic Progression Term
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find term number $12$ of the AP series: $-54, 24, 102 ... $$804$
    \n", "signature": "(max_d=100, max_a=100, max_n=100):", "funcdef": "def"}, "mathgenerator.misc.base_conversion": {"fullname": "mathgenerator.misc.base_conversion", "modulename": "mathgenerator.misc", "qualname": "base_conversion", "kind": "function", "doc": "
    Base Conversion
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Convert $45204$ from base $10$ to base $4$$23002110$
    \n", "signature": "(max_num=60000, max_base=16):", "funcdef": "def"}, "mathgenerator.misc.binomial_distribution": {"fullname": "mathgenerator.misc.binomial_distribution", "modulename": "mathgenerator.misc", "qualname": "binomial_distribution", "kind": "function", "doc": "
    Binomial distribution
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    A manufacturer of metal pistons finds that, on average, $30.56$% of the pistons they manufacture are rejected because they are incorrectly sized. What is the probability that a batch of $20$ pistons will contain no more than $2$ rejected pistons?$3.17$
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.misc.celsius_to_fahrenheit": {"fullname": "mathgenerator.misc.celsius_to_fahrenheit", "modulename": "mathgenerator.misc", "qualname": "celsius_to_fahrenheit", "kind": "function", "doc": "
    Celsius to Fahrenheit
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Convert $-46$ degrees Celsius to degrees Fahrenheit$-50.8$
    \n", "signature": "(max_temp=100):", "funcdef": "def"}, "mathgenerator.misc.common_factors": {"fullname": "mathgenerator.misc.common_factors", "modulename": "mathgenerator.misc", "qualname": "common_factors", "kind": "function", "doc": "
    Common Factors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Common Factors of $100$ and $44 = $$[1, 2, 4]$
    \n", "signature": "(max_val=100):", "funcdef": "def"}, "mathgenerator.misc.complex_to_polar": {"fullname": "mathgenerator.misc.complex_to_polar", "modulename": "mathgenerator.misc", "qualname": "complex_to_polar", "kind": "function", "doc": "
    Complex to polar form
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    $19.42(-19.0\\theta + i-4.0\\theta)$$-2.93$
    \n", "signature": "(min_real_imaginary_num=-20, max_real_imaginary_num=20):", "funcdef": "def"}, "mathgenerator.misc.decimal_to_roman_numerals": {"fullname": "mathgenerator.misc.decimal_to_roman_numerals", "modulename": "mathgenerator.misc", "qualname": "decimal_to_roman_numerals", "kind": "function", "doc": "
    Decimal to Roman Numerals
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The number $92$ in roman numerals is:$XCII$
    \n", "signature": "(max_decimal=4000):", "funcdef": "def"}, "mathgenerator.misc.euclidian_norm": {"fullname": "mathgenerator.misc.euclidian_norm", "modulename": "mathgenerator.misc", "qualname": "euclidian_norm", "kind": "function", "doc": "
    Euclidian norm or L2 norm of a vector
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Euclidian norm or L2 norm of the vector $[659.9225071540442, 243.40887829281564, 128.79950053874424, 263.19226900031344]$ is:$761.97$
    \n", "signature": "(maxEltAmt=20):", "funcdef": "def"}, "mathgenerator.misc.factors": {"fullname": "mathgenerator.misc.factors", "modulename": "mathgenerator.misc", "qualname": "factors", "kind": "function", "doc": "
    Factors of a number
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Factors of $176 = $$[1, 2, 4, 8, 11, 16, 22, 44, 88, 176]$
    \n", "signature": "(max_val=1000):", "funcdef": "def"}, "mathgenerator.misc.geometric_mean": {"fullname": "mathgenerator.misc.geometric_mean", "modulename": "mathgenerator.misc", "qualname": "geometric_mean", "kind": "function", "doc": "
    Geometric Mean of N Numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Geometric mean of $3$ numbers $[72, 21, 87] = $$50.86$
    \n", "signature": "(max_value=100, max_count=4):", "funcdef": "def"}, "mathgenerator.misc.geometric_progression": {"fullname": "mathgenerator.misc.geometric_progression", "modulename": "mathgenerator.misc", "qualname": "geometric_progression", "kind": "function", "doc": "
    Geometric Progression
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    For the given GP $[11, 44, 176, 704, 2816, 11264]$. Find the value of a common ratio, 7th term value, sum upto 10th termThe value of a is $11$, common ratio is $4$ , 7th term is $45056$, sum upto 10th term is $3844775.0$
    \n", "signature": "(number_values=6, min_value=2, max_value=12, n_term=7, sum_term=5):", "funcdef": "def"}, "mathgenerator.misc.harmonic_mean": {"fullname": "mathgenerator.misc.harmonic_mean", "modulename": "mathgenerator.misc", "qualname": "harmonic_mean", "kind": "function", "doc": "
    Harmonic Mean of N Numbers
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Harmonic mean of $4$ numbers $52, 56, 25, 57 = $$602.33$
    \n", "signature": "(max_value=100, max_count=4):", "funcdef": "def"}, "mathgenerator.misc.is_leap_year": {"fullname": "mathgenerator.misc.is_leap_year", "modulename": "mathgenerator.misc", "qualname": "is_leap_year", "kind": "function", "doc": "
    Is Leap Year or Not
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Is $2000$ a leap year?$2000$ is a leap year
    \n", "signature": "(minNumber=1900, max_number=2099):", "funcdef": "def"}, "mathgenerator.misc.lcm": {"fullname": "mathgenerator.misc.lcm", "modulename": "mathgenerator.misc", "qualname": "lcm", "kind": "function", "doc": "
    LCM (Least Common Multiple)
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    LCM of $3$ and $18 = $$18$
    \n", "signature": "(max_val=20):", "funcdef": "def"}, "mathgenerator.misc.minutes_to_hours": {"fullname": "mathgenerator.misc.minutes_to_hours", "modulename": "mathgenerator.misc", "qualname": "minutes_to_hours", "kind": "function", "doc": "
    Convert minutes to hours and minutes
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Convert $836$ minutes to hours & minutes$13$ hours and $56$ minutes
    \n", "signature": "(max_minutes=999):", "funcdef": "def"}, "mathgenerator.misc.prime_factors": {"fullname": "mathgenerator.misc.prime_factors", "modulename": "mathgenerator.misc", "qualname": "prime_factors", "kind": "function", "doc": "
    Prime Factors
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find prime factors of $30$$2, 3, 5$
    \n", "signature": "(min_val=1, max_val=200):", "funcdef": "def"}, "mathgenerator.misc.product_of_scientific_notations": {"fullname": "mathgenerator.misc.product_of_scientific_notations", "modulename": "mathgenerator.misc", "qualname": "product_of_scientific_notations", "kind": "function", "doc": "
    Product of scientific notations
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Product of scientific notations $5.11 \\times 10^{67}$ and $3.64 \\times 10^{-59} = $$1.86 \\times 10^{9}$
    \n", "signature": "(min_exp_val=-100, max_exp_val=100):", "funcdef": "def"}, "mathgenerator.misc.profit_loss_percent": {"fullname": "mathgenerator.misc.profit_loss_percent", "modulename": "mathgenerator.misc", "qualname": "profit_loss_percent", "kind": "function", "doc": "
    Profit or Loss Percent
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Loss percent when $CP = 751$ and $SP = 290$ is:$61.38$
    \n", "signature": "(max_cp=1000, max_sp=1000):", "funcdef": "def"}, "mathgenerator.misc.quotient_of_power_same_base": {"fullname": "mathgenerator.misc.quotient_of_power_same_base", "modulename": "mathgenerator.misc", "qualname": "quotient_of_power_same_base", "kind": "function", "doc": "
    Quotient of Powers with Same Base
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The Quotient of $5^{6}$ and $5^{8} = $5^{6-8} = 5^{-2}$$0.04$
    \n", "signature": "(max_base=50, max_power=10):", "funcdef": "def"}, "mathgenerator.misc.quotient_of_power_same_power": {"fullname": "mathgenerator.misc.quotient_of_power_same_power", "modulename": "mathgenerator.misc", "qualname": "quotient_of_power_same_power", "kind": "function", "doc": "
    Quotient of Powers with Same Power
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The quotient of $19^{8}$ and $10^{8} = (19/10)^8 = 1.9^{8}$$169.84$
    \n", "signature": "(max_base=50, max_power=10):", "funcdef": "def"}, "mathgenerator.misc.set_operation": {"fullname": "mathgenerator.misc.set_operation", "modulename": "mathgenerator.misc", "qualname": "set_operation", "kind": "function", "doc": "
    Union, Intersection, Difference of Two Sets
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given the two sets $a={1, 2, 4, 5}$, $b={8, 1, 2}. Find the Union, intersection, a-b, b-a, and symmetric differenceUnion is ${1, 2, 4, 5, 8}$. Intersection is ${1, 2}$, a-b is ${4, 5}$, b-a is ${8}$. Symmetric difference is ${4, 5, 8}$.
    \n", "signature": "(min_size=3, max_size=7):", "funcdef": "def"}, "mathgenerator.misc.signum_function": {"fullname": "mathgenerator.misc.signum_function", "modulename": "mathgenerator.misc", "qualname": "signum_function", "kind": "function", "doc": "
    Signum Function
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Signum of $-229$ is =$-1$
    \n", "signature": "(min=-999, max=999):", "funcdef": "def"}, "mathgenerator.misc.surds_comparison": {"fullname": "mathgenerator.misc.surds_comparison", "modulename": "mathgenerator.misc", "qualname": "surds_comparison", "kind": "function", "doc": "
    Comparing Surds
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Fill in the blanks $42^{\\frac{1}{2}}$ _ $45^{\\frac{1}{5}}$$>$
    \n", "signature": "(max_value=100, max_root=10):", "funcdef": "def"}, "mathgenerator.statistics": {"fullname": "mathgenerator.statistics", "modulename": "mathgenerator.statistics", "kind": "module", "doc": "
    \n"}, "mathgenerator.statistics.combinations": {"fullname": "mathgenerator.statistics.combinations", "modulename": "mathgenerator.statistics", "qualname": "combinations", "kind": "function", "doc": "
    Combinations of Objects
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the number of combinations from $19$ objects picked $6$ at a time.$27132$
    \n", "signature": "(max_lengthgth=20):", "funcdef": "def"}, "mathgenerator.statistics.conditional_probability": {"fullname": "mathgenerator.statistics.conditional_probability", "modulename": "mathgenerator.statistics", "qualname": "conditional_probability", "kind": "function", "doc": "
    Conditional Probability
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Someone tested positive for a nasty disease which only $1.18$% of the population have. Test sensitivity (true positive) is equal to $SN=98.73$% whereas test specificity (true negative) $SP=99.99$%. What is the probability that this guy really has that disease?$99.16$%
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.statistics.confidence_interval": {"fullname": "mathgenerator.statistics.confidence_interval", "modulename": "mathgenerator.statistics", "qualname": "confidence_interval", "kind": "function", "doc": "
    Confidence interval For sample S
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    The confidence interval for sample $[234, 223, 210, 203, 258, 299, 281, 208, 278, 252, 295, 245, 280, 235, 219, 297, 214, 267, 212, 256, 232, 221]$ with $99$% confidence is$(263.31, 229.33)$
    \n", "signature": "():", "funcdef": "def"}, "mathgenerator.statistics.data_summary": {"fullname": "mathgenerator.statistics.data_summary", "modulename": "mathgenerator.statistics", "qualname": "data_summary", "kind": "function", "doc": "
    Mean, Standard Deviation and Variance
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Find the mean,standard deviation and variance for the data $9, 29, 46, 27, 46, 15, 10, 44, 19, 33, 38, 7, 34, 28, 8$The Mean is $26.2$, Standard Deviation is $186.29$, Variance is $13.65$
    \n", "signature": "(number_values=15, min_val=5, max_val=50):", "funcdef": "def"}, "mathgenerator.statistics.dice_sum_probability": {"fullname": "mathgenerator.statistics.dice_sum_probability", "modulename": "mathgenerator.statistics", "qualname": "dice_sum_probability", "kind": "function", "doc": "
    Probability of a certain sum appearing on faces of dice
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    If $2$ dice are rolled at the same time, the probability of getting a sum of $5 =$$\frac{4}{36}$
    \n", "signature": "(max_dice=3):", "funcdef": "def"}, "mathgenerator.statistics.mean_median": {"fullname": "mathgenerator.statistics.mean_median", "modulename": "mathgenerator.statistics", "qualname": "mean_median", "kind": "function", "doc": "
    Mean and Median
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Given the series of numbers $[4, 19, 21, 22, 43, 44, 60, 81, 87, 92]$. Find the arithmatic mean and median of the seriesArithmetic mean of the series is $47.3$ and arithmetic median of this series is $43.5$
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    Permutations
    \n\n\n\n\n  \n  \n\n\n\n\n  \n  \n\n\n
    Ex. ProblemEx. Solution
    Number of Permutations from $18$ objects picked $5$ at a time is:$1028160$
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"3": {"docs": {"mathgenerator.calculus.stationary_points": {"tf": 1}}, "df": 1}, "docs": {}, "df": 0}, "+": {"6": {"docs": {"mathgenerator.algebra.factoring": {"tf": 1}}, "df": 1}, "docs": {}, "df": 0}, "c": {"docs": {}, "df": 0, "i": {"docs": {}, "df": 0, "i": {"docs": {"mathgenerator.misc.decimal_to_roman_numerals": {"tf": 1}}, "df": 1}}}}, "z": {"docs": {}, "df": 0, "e": {"docs": {}, "df": 0, "r": {"docs": {}, "df": 0, "o": {"docs": {}, "df": 0, "s": {"docs": {"mathgenerator.algebra.quadratic_equation": {"tf": 1}}, "df": 1}}}}}}}}, "pipeline": ["trimmer"], "_isPrebuiltIndex": true};
 
     // mirrored in build-search-index.js (part 1)
     // Also split on html tags. this is a cheap heuristic, but good enough.
diff --git a/mathgenerator/_gen_list.py b/mathgenerator/_gen_list.py
index 15dd972..6f0f36b 100644
--- a/mathgenerator/_gen_list.py
+++ b/mathgenerator/_gen_list.py
@@ -126,4 +126,5 @@ gen_list = [
     ("is_composite", "basic_math"),
     ("complementary_and_supplementary_angle", "geometry"),
     ("simplify_square_root", "basic_math"),
+    ("line_equation_from_2_points", "algebra"),
 ]
diff --git a/mathgenerator/algebra.py b/mathgenerator/algebra.py
index 3edd2ff..0133d0a 100644
--- a/mathgenerator/algebra.py
+++ b/mathgenerator/algebra.py
@@ -487,6 +487,48 @@ def linear_equations(n=2, var_range=20, coeff_range=20):
     return f'Given the equations ${problem}$, solve for $x$ and $y$', f'${solution}$'
 
 
+def line_equation_from_2_points(max_val=20):
+    r"""Equation of Line from Two Points
+
+    | Ex. Problem | Ex. Solution |
+    | --- | --- |
+    | Find the equation of the line passing through the points $(-19,-8)$ and $(-2,0)$. | $y=\frac{8}{17}x+\frac{16}{17}$ |
+    """
+    x1 = random.randint(-max_val, max_val)
+    x2 = random.randint(-max_val, max_val)
+    if x1 == x2:
+        return line_equation_from_2_points(max_val=max_val)
+    y1 = random.randint(-max_val, max_val)
+    y2 = random.randint(-max_val, max_val)
+    m1 = (y2 - y1) // math.gcd(y2 - y1, x2 - x1)
+    m2 = (x2 - x1) // math.gcd(y2 - y1, x2 - x1)
+    c1 = (y1 * (x2 - x1) - (y2 - y1) * x1) // math.gcd(y1 * (x2 - x1) - (y2 - y1) * x1, (x2 - x1))
+    c2 = (x2 - x1) // math.gcd(y1 * (x2 - x1) - (y2 - y1) * x1, (x2 - x1))
+    c = rf"{'+' if c1 >= 0 else '-'}\frac{{{abs(c1)}}}{{{c2}}}" if c1 != 0 else ""
+    if c2 < 0:
+        c2 = -c2
+        c1 = -c1
+        c = rf"{'+' if c1 >= 0 else '-'}\frac{{{abs(c1)}}}{{{c2}}}"
+    if c2 == 1:
+        c = f"{c1:+}"
+
+    problem = f'Find the equation of the line passing through the points $({x1},{y1})$ and $({x2},{y2})$.'
+
+    if m1 == 0:
+        return problem, f"$y={c}$"
+    if m2 < 0:
+        m1 = -m1
+        m2 = -m2
+    if m2 == 1:
+        if m1 == 1:
+            return problem, f"$y=x{c}$"
+        if m1 == -1:
+            return problem, f"$y=-x{c}$"
+        return problem, f"y={m1}x{c}"
+
+    return problem, rf"$y=\frac{{{m1}}}{{{m2}}}x{c}$"
+
+
 def log(max_base=3, max_val=8):
     r"""Logarithm