instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
b"What is the lth term of 561, 1500, 3165, 5916, 10113, 16116?\n" | 60*l**3 + 3*l**2 + 510*l - 12\n | ibivibiv/math_instruct | |
Suppose 21*h - 1040 = 11*h. Let i = h + -86. Do i and 18 have the same value?\n | True\n | ibivibiv/math_instruct | |
Suppose 0*d + 18612 = -22*d. Let x = d - -1715. Is x a prime number?\n | False\n | ibivibiv/math_instruct | |
0.7+-5333.9869\n | -5333.2869\n | ibivibiv/math_instruct | |
Let n(b) = b**2 + 15*b + 21. Let i be n(-15). Let z = i - 17. Find the second derivative of -z*g + 2*g**5 - g + g**5 wrt g.\n | 60*g**3\n | ibivibiv/math_instruct | |
How many minutes are there between 12:25 AM and 6:07 AM?\n | 342\n | ibivibiv/math_instruct | |
Let o = -2841 + 2840. Which is the nearest to o? (a) -0.1 (b) 0.01 (c) 3\n | a\n | ibivibiv/math_instruct | |
What comes next: 474, 213, -486, -1839, -4062, -7371, -11982?\n | -18111\n | ibivibiv/math_instruct | |
Which is the nearest to 2/5? (a) 23/2 (b) -5 (c) 1/8\n | c\n | ibivibiv/math_instruct | |
Let o = 501 - 87. Does 11 divide o?\n | False\n | ibivibiv/math_instruct | |
Suppose m - 4*m + 9 = 2*a, -a - 9 = -3*m. Suppose -20 = 4*s, 0 = -21*r + 18*r + m*s + 1392. Calculate the greatest common factor of r and 27.\n | 27\n | ibivibiv/math_instruct | |
Let z(c) be the third derivative of -c**6/420 - c**5/70 + 10*c**2. Let z(x) = 0. Calculate x.\n | -3, 0\n | ibivibiv/math_instruct | |
Are 4 and 60174/11989 equal?\n | False\n | ibivibiv/math_instruct | |
Solve k**4/3 - 121*k**3/3 - 123*k**2 - 371*k/3 - 124/3 = 0 for k.\n | -1, 124\n | ibivibiv/math_instruct | |
b"What is the th term of -549, -941, -1053, -765, 43?\n" | 20*b**3 + 20*b**2 - 592*b + 3\n | ibivibiv/math_instruct | |
Sort 1, -0.4, 132 in decreasing order.\n | 132, 1, -0.4\n | ibivibiv/math_instruct | |
Sum 12.373 and 0.1712099.\n | 12.5442099\n | ibivibiv/math_instruct | |
In base 9, what is -18 - 1?\n | -20\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Simpson 3/8 Rule – Numerical Integration with MATLAB
Simpson 3/8 rule is a numerical integration technique which give the better result than trapezoidal rule but error more than Simpson 1/3 rule. It is applicable when the ... | The Simpson 3/8 rule is a numerical integration technique used to approximate the definite integral of a function. Before delving into the details of this method, it's important to understand what numerical integration is and why it might be necessary.
Numerical integration is the process of finding approximations to... | ibivibiv/math_instruct | |
Let q(z) be the first derivative of -z**2/2 + 10*z - 4. Let u be q(8). Let i(c) = 2*c**3 - c**2 + c. Let n be i(1). Solve u*w - n = -6 for w.\n | -2\n | ibivibiv/math_instruct | |
(1 - ((-90)/25)/(-2))/((-120)/(-5400))\n | -36\n | ibivibiv/math_instruct | |
Let g be (1 - 3) + (0 - -5). Suppose 0 = 5*f - 2*k - 151 - 57, g*f = k + 125. Let d = 452 + -369. Calculate the remainder when d is divided by f.\n | 41\n | ibivibiv/math_instruct | |
Suppose -288 = 4*d + 4*j, 2*j + 176 = -3*d + 7*j. Let h = d - -90. Calculate the remainder when 42 is divided by h.\n | 19\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(85.114 / 40.338) + (-25.794 / -92.017) | 2.3903 | ibivibiv/math_instruct | |
Suppose 7*c + 14 = 9*c. What is the nearest to -0.1 in c, 5, -0.4?\n | -0.4\n | ibivibiv/math_instruct | |
What is the second derivative of 8*a*y**4 - 3*a*y**2 + a*y - 39*a - 3*y wrt y?\n | 96*a*y**2 - 6*a\n | ibivibiv/math_instruct | |
Evaluate -20 + 2 + 21 + -1.\n | 2\n | ibivibiv/math_instruct | |
Divide 12 by 60.\n | 1/5\n | ibivibiv/math_instruct | |
Factor 0*c - 1/9*c**2 + 0.\n | -c**2/9\n | ibivibiv/math_instruct | |
Collect the terms in -1139148*z - 58342*z + 110579*z.\n | -1086911*z\n | ibivibiv/math_instruct | |
What is the third derivative of -85*d*o**3*q + 14*d*o**3 - d*o**2*q + 1029*d*o**2 + 21*d + 8*o**3*q + 14*o**3 - 33*q wrt o?\n | -510*d*q + 84*d + 48*q + 84\n | ibivibiv/math_instruct | |
Which is the closest to -11? (a) 59 (b) 4 (c) -5 (d) -167\n | c\n | ibivibiv/math_instruct | |
Simplify ((t**0)**(-1/17))**(-1/3)*(t**1)**(6/11)*t/t**(-1/5)*t*t/(t*t*(t/(t/t**(-6))*t)/t)*t*t assuming t is positive.\n | t**(536/55)\n | ibivibiv/math_instruct | |
1033223033 (base 5) to base 16\n | 2236dc\n | ibivibiv/math_instruct | |
Solve -7 + 13 = -2*i for i.\n | -3\n | ibivibiv/math_instruct | |
Sort 1, -73, -9380, 5, 2, -2 in decreasing order.\n | 5, 2, 1, -2, -73, -9380\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {l: 6, n: 5, j: 1, w: 3}. Give prob of sequence wj.\n | 1/70\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 g and 3 r when four letters picked without replacement from {g: 1, b: 2, z: 3, s: 1, r: 4}.\n | 2/165\n | ibivibiv/math_instruct | |
Let h(o) = o**2 - 10*o + 25. Let j be h(8). Calculate the greatest common factor of 9 and j.\n | 9\n | ibivibiv/math_instruct | |
Let n = -99 + 149. Let k = n + -50. Let a = -1067/7 + 152. What is the nearest to k in -2/7, 0.2, a?\n | 0.2\n | ibivibiv/math_instruct | |
Multiply -4 and -6.12.\n | 24.48\n | ibivibiv/math_instruct | |
What are the prime factors of 6257540?\n | 2, 5, 59, 5303\n | ibivibiv/math_instruct | |
Let o be ((-6)/4 - 0)*376/12. Let h be (o/(-2))/(2/4). Suppose -5*c + 2*w = -549, c + 5*w = h + 79. What are the prime factors of c?\n | 3, 37\n | ibivibiv/math_instruct | |
Round -818.622 to the nearest integer.\n | -819\n | ibivibiv/math_instruct | |
Sort 3, 48, -4, 7 in increasing order.\n | -4, 3, 7, 48\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -1/3 (b) 6285 (c) -0.36 (d) -0.13 (e) 0.1\n | d\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) -22 (b) -0.1 (c) 3/5 (d) 4/7\n | b\n | ibivibiv/math_instruct | |
Let s(o) = 34*o - 26. Let t be s(-3). Let n be -3 - 28/t*98. Let w = -1199/64 + n. Calculate the common denominator of w and 17/8.\n | 64\n | ibivibiv/math_instruct | |
Is -53738 > -41/61?\n | False\n | ibivibiv/math_instruct | |
Let d = -3.5 + 6.3. Let t = -1151 - -1154. Let y = t - d. Which is the closest to y? (a) -5 (b) 2 (c) -1/7\n | c\n | ibivibiv/math_instruct | |
Let j = -2 + 5. Suppose -m + 0*m + 3*v - 4 = 0, 2*m - 10 = -3*v. Solve 3*o = -2*i + 7, j*i - 14 = m*i - 5*o for i.\n | -1\n | ibivibiv/math_instruct | |
Let h be (5*(-2 - -1))/(-1). Differentiate s**3 - 7 + 16 - h*s**3 wrt s.\n | -12*s**2\n | ibivibiv/math_instruct | |
What is the second derivative of -254*i**3*x**2 + 3*i**3 + 35*x wrt x?\n | -508*i**3\n | ibivibiv/math_instruct | |
Let w be (-1)/(-4) - 440/(-32). Suppose 0 = -2*q + 5*q - 294. Calculate the highest common factor of w and q.\n | 14\n | ibivibiv/math_instruct | |
Solve 5*a = -7*g + 11*g + 5, 5*a = g - 10 for a.\n | -3\n | ibivibiv/math_instruct | |
Suppose 2051 + 48 + 102 = -31*r. Which is smaller: -22 or r?\n | r\n | ibivibiv/math_instruct | |
Solve -11033*q - 3901 = -15165*q + 4363 for q.\n | 2\n | ibivibiv/math_instruct | |
Solve 12879*h + 1099340 = -1586*h for h.\n | -76\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 539 and 204526.\n | 49\n | ibivibiv/math_instruct | |
Let a = 240.557 + -0.557. Let o = 242 - a. What is the third smallest value in o, -0.5, -0.2, -4?\n | -0.2\n | ibivibiv/math_instruct | |
Let u = -4070 + 4070.5. Put -12, 11, u in increasing order.\n | -12, u, 11\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 16 and 19248.\n | 16\n | ibivibiv/math_instruct | |
Collect the terms in -1096*f + 2194*f - 1100*f.\n | -2*f\n | ibivibiv/math_instruct | |
Simplify ((h**(1/8)*h)**41/(h*h**(8/3)*h)**(-2/41))**(-1/17) assuming h is positive.\n | h**(-2683/984)\n | ibivibiv/math_instruct | |
-135182070 divided by -3004046\n | 45\n | ibivibiv/math_instruct | |
Differentiate -2168*w**4 + 73*w**2 + 752459.\n | -8672*w**3 + 146*w\n | ibivibiv/math_instruct | |
Simplify (6*((sqrt(605)*2)**2 + sqrt(605)) + sqrt(605) + -5 + 2*sqrt(605)*-6 + -2)*-1.\n | -14513 + 55*sqrt(5)\n | ibivibiv/math_instruct | |
Suppose 0 = 82*w - 364448 + 150451 - 938267. What are the prime factors of w?\n | 2, 3, 1171\n | ibivibiv/math_instruct | |
Calculate (17/(-68))/((-9)/12).\n | 1/3\n | ibivibiv/math_instruct | |
What is the least common multiple of 75285 and 4473?\n | 5345235\n | ibivibiv/math_instruct | |
What is (-2)/5*(-40)/(-80)*5/(-7)?\n | 1/7\n | ibivibiv/math_instruct | |
What is the next term in -162, -156, -150, -144?\n | -138\n | ibivibiv/math_instruct | |
Calculate ((-116)/7)/((-92)/161).\n | 29\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 155 and 159607995.\n | 155\n | ibivibiv/math_instruct | |
Let b be (-1 - (0 + -6)) + -1. Solve 0*r - 12 = -b*r for r.\n | 3\n | ibivibiv/math_instruct | |
List the prime factors of 336539090.\n | 2, 5, 33653909\n | ibivibiv/math_instruct | |
Is 2678605135 prime?\n | False\n | ibivibiv/math_instruct | |
Let w(s) = -181*s + 16597. What is w(92)?\n | -55\n | ibivibiv/math_instruct | |
Is 1976639 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let l(b) be the second derivative of -b**3/6 + b**2/2 + 20*b + 7. Let s(n) = 31*n**2 + 6*n - 5. What is -6*l(g) - s(g)?\n | -31*g**2 - 1\n | ibivibiv/math_instruct | |
Calculate 416 - 361 - (-5 + 44).\n | 16\n | ibivibiv/math_instruct | |
Solve 4*p - 2 = -2*i + 5*p, -3*i = -2*p - 4 for i.\n | 0\n | ibivibiv/math_instruct | |
Is 11 a factor of 6/(-8) + 169901/332?\n | False\n | ibivibiv/math_instruct | |
Divide 4 by -32164.\n | -1/8041\n | ibivibiv/math_instruct | |
Solve -3*z + z = -4*z for z.\n | 0\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 z and 1 k when three letters picked without replacement from kzkkszpzzzh.\n | 2/11\n | ibivibiv/math_instruct | |
What is the highest common divisor of 670 and 426430?\n | 10\n | ibivibiv/math_instruct | |
Let f(g) = -g**2 + 2*g + 28. Determine f(-5).\n | -7\n | ibivibiv/math_instruct | |
What is -143.3458489 rounded to 1 decimal place?\n | -143.3\n | ibivibiv/math_instruct | |
Let b(h) = -h**3 - h + 2. Let y be b(0). Suppose 3*f - 3 = 3*k, -f + k - 3 = y*k. Suppose m = -1 - 1. Put 4, m, f in descending order.\n | 4, f, m\n | ibivibiv/math_instruct | |
What is the next term in -2693, -5373, -8043, -10703, -13353?\n | -15993\n | ibivibiv/math_instruct | |
Collect the terms in 3*m**3 - 28603*m + 28603*m.\n | 3*m**3\n | ibivibiv/math_instruct | |
What are the prime factors of 3111?\n | 3, 17, 61\n | ibivibiv/math_instruct | |
Rearrange -15 - 10*q + 12*q + 2*q to m*q + r and give m.\n | 4\n | ibivibiv/math_instruct | |
What is 636 minutes before 4:11 AM?\n | 5:35 PM\n | ibivibiv/math_instruct | |
Solve 6 = -18*u + 21*u for u.\n | 2\n | ibivibiv/math_instruct | |
What is the square root of 164542 to the nearest integer?\n | 406\n | ibivibiv/math_instruct | |
What is the third derivative of 22*l**5*x + 282*l**4*x - 13*l**3*x + 20*l**2*x - x - 112 wrt l?\n | 1320*l**2*x + 6768*l*x - 78*x\n | ibivibiv/math_instruct | |
Solve 8*u = 5*u + 78, 5*d = 468826*u - 468830*u + 104 for d.\n | 0\n | ibivibiv/math_instruct | |
What is 36 minutes before 3:49 PM?\n | 3:13 PM\n | ibivibiv/math_instruct |
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