instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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Suppose -2*b - 3 = -31. Differentiate -25 + 0*v**2 + b*v**2 + 9 + 5*v**2 with respect to v.\n | 38*v\n | ibivibiv/math_instruct | |
Multiply -2 and 20.\n | -40\n | ibivibiv/math_instruct | |
Let f be 2 - ((-17)/4 + (-25)/(-100)). Solve f = g + g for g.\n | 3\n | ibivibiv/math_instruct | |
Let y(a) = -2*a - 5. Suppose 5*g = 368 + 342. Let q = -140 + g. Let j(s) = 2*s + 5. Calculate q*y(f) + 3*j(f).\n | 2*f + 5\n | ibivibiv/math_instruct | |
Suppose 3*g + 2*z - 2 = 0, -4*g - z - 2*z + 2 = 0. Suppose -2*a - 5*f = -23, 3*a - g*f - 3*f = -3. Solve 24 = j - 3*j - 4*x, 5*x + 17 = a*j for j.\n | -2\n | ibivibiv/math_instruct | |
What is the tens digit of 233926?\n | 2\n | ibivibiv/math_instruct | |
What are the prime factors of 4382?\n | 2, 7, 313\n | ibivibiv/math_instruct | |
Let f(v) = -v**3. Let x(t) be the second derivative of 3*t**5/20 + t**3/6 + 3*t. Let i(r) = -4*f(r) - x(r). Factor i(j).\n | j*(j - 1)*(j + 1)\n | ibivibiv/math_instruct | |
Let y = -2 + 6. Suppose -116 = 3*v - 125. Suppose v*s - 2*i = -2*s + 11, 3*s + 2*i - 13 = 0. Is s at most y?\n | True\n | ibivibiv/math_instruct | |
Is 7273548 a multiple of 18?\n | True\n | ibivibiv/math_instruct | |
What is one twentieth of a litre in millilitres?\n | 50\n | ibivibiv/math_instruct | |
What is the closest to 62 in -0.04, -1/4, 1/345, -2, 2?\n | 2\n | ibivibiv/math_instruct | |
What is the units digit of 1005103?\n | 3\n | ibivibiv/math_instruct | |
Let d = 5 - 2. Suppose 5*s - 7 - 3 = 0. Suppose -6542*k - 7983 = -15932 - 18219. Solve -g = d*g - 2*v - 8, 0 = s*v + k for g.\n | 1\n | ibivibiv/math_instruct | |
Suppose 3*l = -4*f + 3822001, l = 368*f - 363*f + 1274013. Is l a composite number?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 432577039?\n | 2239, 193201\n | ibivibiv/math_instruct | |
Suppose -22 = 4*x + 10. Let j(r) = r**3 + 9*r**2 + 8*r + 5. Let i be j(x). Solve -v = -2 + i for v.\n | -3\n | ibivibiv/math_instruct | |
Solve -131*z + 132*z - h = 1, 4*z - h = 16 for z.\n | 5\n | ibivibiv/math_instruct | |
What is the second smallest value in -112, -0.1, 1348, 2/9, -4/9, 0.1?\n | -4/9\n | ibivibiv/math_instruct | |
b"What is the tth term of 8665045, 17330047, 25995049, 34660051, 43325053, 51990055?\n" | 8665002*t + 43\n | ibivibiv/math_instruct | |
What is -793 + 626?\n | -167\n | ibivibiv/math_instruct | |
Which is the closest to -1/6? (a) -14/5 (b) -0.27 (c) 3\n | b\n | ibivibiv/math_instruct | |
Let c(z) be the second derivative of 0*z**2 + 0 - 7/6*z**3 - 5*z + 2/3*z**4. Let v = 52 - 49. Let p(i) = i**2 - i. Give v*c(d) - 21*p(d).\n | 3*d**2\n | ibivibiv/math_instruct | |
Calculate 1 + -6 - (-34 - (-2397)/85).\n | 4/5\n | ibivibiv/math_instruct | |
Let h = -1 + 7. Let c be 30/(-9)*(12/10)/(-2). Let x(k) = 1 - 220*k + 2*k**2 + 224*k - 3*k**c. Give x(h).\n | -11\n | ibivibiv/math_instruct | |
-0.4*177196598\n | -70878639.2\n | ibivibiv/math_instruct | |
-13 (base 10) to base 8\n | -15\n | ibivibiv/math_instruct | |
Express -4*n**2 - 3*n**3 + 1 - 2*n**4 + 2*n**2 - 2 in the form m*n + d*n**4 + h + k*n**2 + q*n**3 and give h.\n | -1\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) 6 (b) -428 (c) -4 (d) -12 (e) -0.4 (f) -33.2\n | d\n | ibivibiv/math_instruct | |
What is 428 less than 0.589?\n | -427.411\n | ibivibiv/math_instruct | |
Is 30151 > 844237/28?\n | False\n | ibivibiv/math_instruct | |
Expand (13 + 14 - 16)*(0 + 2 + 0)*(-3 + 3 - q) - q + 1 - 1 + 18*q - 14 + 14.\n | -5*q\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Identity Matrix Definition The identity matrix of order n is given by the from MATH 1003 at The Hong Kong University of Science and Technology This is a fancy way of saying that when you multiply anything by 1, you get the sa... | An identity matrix is a square matrix where all the elements of the main diagonal are equal to 1, while all other elements are zero. It is denoted as 'I', and multiplying any matrix 'A' by an identity matrix of the same dimension will result in the original matrix 'A. For example, if there is a 2x2 matrix A, multiplyi... | ibivibiv/math_instruct | |
Let k(s) = s**2 - 2*s + 2. Let r be k(3). Suppose 2*c + 3*c + 16 = h, -c - 24 = r*h. Let w be (-2)/4*16/c. Solve 0 = -2*o + w - 8 for o.\n | -3\n | ibivibiv/math_instruct | |
Let y = -5 - -9. Suppose 64 = -0*z + y*z. List the prime factors of z.\n | 2\n | ibivibiv/math_instruct | |
Does 1596 = 1596?\n | True\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Examples for non-naturality of universal coefficients theorem - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T05:47:06Z http://mathoverflow.net/feeds/question/59938 http://www.creativecommons.org/license... | The Universal Coefficient Theorem (UCT), which is often discussed in advanced algebraic topology courses, provides a way to compute the singular homology groups with coefficients in an Abelian group G of a topological space X, using only knowledge of its integral homology groups. Specifically, under certain conditions... | ibivibiv/math_instruct | |
Let a = -5.956 + 84.946. Let o = a + -21.21. Round o to the nearest ten.\n | 60\n | ibivibiv/math_instruct | |
Product of 2 and 34456794.\n | 68913588\n | ibivibiv/math_instruct | |
What is prob of picking 1 t and 1 u when two letters picked without replacement from {t: 3, v: 1, i: 6, c: 2, e: 2, u: 1}?\n | 1/35\n | ibivibiv/math_instruct | |
Let o = 4.8 + -5. Let h = o + 0.2. Sort h, -4/5, 4/9 in increasing order.\n | -4/5, h, 4/9\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-53.6916 + (-51.2767 / -37.2364) | -52.3145 | ibivibiv/math_instruct | |
Suppose 11*s = 26*s - 360. Solve -19*i + 5 = -s*i for i.\n | -1\n | ibivibiv/math_instruct | |
Solve 15*k + 2*k - 27*k + 5*d + 7 = -11*k, -100*k = -2*d - 1308 for k.\n | 13\n | ibivibiv/math_instruct | |
Suppose 4*c - 3*n = -c + 81, c - 5 = -5*n. Suppose -4*i = 3*a + 15, 3*a + c = -i + 3*i. Solve 3*b - 12 = -i*b for b.\n | 4\n | ibivibiv/math_instruct | |
Let r(b) = 9*b**2 + 11618*b + 23240. Give r(-2).\n | 40\n | ibivibiv/math_instruct | |
Is 1391489877 a multiple of 5434?\n | False\n | ibivibiv/math_instruct | |
Simplify ((m**(-1))**(1/67))**(22/3)/((m**0)**(10/7)*(m/m**(-3/7)*m)/m**(2/3)) assuming m is positive.\n | m**(-2633/1407)\n | ibivibiv/math_instruct | |
Let g = -0.15 + 0.02. Let k = g - -7.13. Let y = 6.9998 - k. What is y rounded to three decimal places?\n | 0\n | ibivibiv/math_instruct | |
Divide -147900 by -14790.\n | 10\n | ibivibiv/math_instruct | |
Let n(r) = -r**3 + 16*r**2 + 12*r + 99. Let s be n(17). Solve -j = -h + 1 - 4, 5*h + s = 4*j for h.\n | -2\n | ibivibiv/math_instruct | |
-202 (base 4) to base 7\n | -46\n | ibivibiv/math_instruct | |
Round 604.7627 to the nearest 100.\n | 600\n | ibivibiv/math_instruct | |
Suppose 3*s - 3*g = 48, 4*s - 44 = -4*g + 52. Let t = -9 + 6. What is the lowest common multiple of 14 + 2 + 1 + t and s?\n | 140\n | ibivibiv/math_instruct | |
Evaluate (-2 + 1 - (-4 + 36)) + 92 + -99.\n | -40\n | ibivibiv/math_instruct | |
Suppose -q - 9*q = -40. Let m be q/22 + 20/11. Put 7, m, -3 in decreasing order.\n | 7, m, -3\n | ibivibiv/math_instruct | |
Is -706 smaller than -702?\n | True\n | ibivibiv/math_instruct | |
Is 563899 prime?\n | False\n | ibivibiv/math_instruct | |
Let b(k) = k**5 + k**2 + k. Let p(r) = 7*r**5 + 29*r**4 + 44*r**3 + 21*r**2 + r. Let o(x) = b(x) - p(x). Determine a so that o(a) = 0.\n | -2, -5/6, 0\n | ibivibiv/math_instruct | |
Expand (25*m - 41*m + 22*m)*(8 - 2 + 11).\n | 102*m\n | ibivibiv/math_instruct | |
What is the next term in -133, -272, -407, -538, -665, -788?\n | -907\n | ibivibiv/math_instruct | |
Let o be (-28)/(-2) - (-2 + 1). Let m be o/108 + (-1)/4. What is the third smallest value in -4, m, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
Suppose 10665 = 90*w - 245*w + 90180. Let d(t) = 45*t + 7. Let p be d(-5). Let l = p + w. What is the hundreds digit of l?\n | 2\n | ibivibiv/math_instruct | |
Is 219635850 a multiple of 42?\n | True\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 74016?\n | 7\n | ibivibiv/math_instruct | |
Collect the terms in -3*i - 4*i + 2*i.\n | -5*i\n | ibivibiv/math_instruct | |
b"What is the xth term of -497734, -1990935, -4479604, -7963741, -12443346, -17918419, -24388960?\n" | -497734*x**2 + x - 1\n | ibivibiv/math_instruct | |
Let n(o) = -o**3 - 3*o**2 - 7*o - 11. Let p(w) = 8*w**3 + w**2 - w - 2. Let s(b) = -b**2 - 2*b - 1. Let l be s(-2). Let i be p(l). Is n(i) prime?\n | False\n | ibivibiv/math_instruct | |
Suppose 0 = -3*g + 3104 - 389. Let v = 908 - g. Solve 2*x + 4*o + 13 = x, v*o = 3*x + 9 for x.\n | -5\n | ibivibiv/math_instruct | |
Suppose -1 - 2 = -g. Let z = -77 - -84. Let h = z + -7.2. Sort 0.5, h, g, -5 in ascending order.\n | -5, h, 0.5, g\n | ibivibiv/math_instruct | |
Let s(a) = -a - 7*a + 261 - 257 + 11*a + 8*a. Let r(w) = -2*w**2 + 3*w**2 + 0*w**2. Give r(s(l)).\n | 121*l**2 + 88*l + 16\n | ibivibiv/math_instruct | |
Let b(f) be the second derivative of f**3/6 - 118*f. Let q(y) = 3*y + 2 + 2 - 4. Let t(h) = h. Let o(r) = q(r) + 2*t(r). Determine o(b(m)).\n | 5*m\n | ibivibiv/math_instruct | |
Solve 0 = -111*k + 293 + 384 + 1099 for k.\n | 16\n | ibivibiv/math_instruct | |
What is -25 (base 16) in base 10?\n | -37\n | ibivibiv/math_instruct | |
What are the prime factors of 73?\n | 73\n | ibivibiv/math_instruct | |
Let q = 6179530 - 4130630. What is q rounded to the nearest 100000?\n | 2000000\n | ibivibiv/math_instruct | |
Let f = -34 - -23. Let w = f + 16. Let x(m) = -14*m - w + 9*m + 6*m. Determine x(4).\n | -1\n | ibivibiv/math_instruct | |
Let t(j) = 64*j - 139. Give t(-14).\n | -1035\n | ibivibiv/math_instruct | |
Let v = 250 + -253. Let j(g) = g + 2*g + 0*g + g**2 + 1 + g. Calculate j(v).\n | -2\n | ibivibiv/math_instruct | |
Calculate (9/(-45)*5)/(7/455*5).\n | -13\n | ibivibiv/math_instruct | |
Let d(w) = 4*w - 15 + 25 - 3*w - 5. Let i(n) = n**2. Let t be i(1). Let a be (5 + -3 + -2)/t. What is d(a)?\n | 5\n | ibivibiv/math_instruct | |
Let t(w) = w**3 + 7*w**2 - 3*w. Suppose -94*k = -92*k + 14. What is t(k)?\n | 21\n | ibivibiv/math_instruct | |
What is the common denominator of 11/236 and -33/1808?\n | 106672\n | ibivibiv/math_instruct | |
What is -0.06 + -10743558.511?\n | -10743558.571\n | ibivibiv/math_instruct | |
Let h be (1*10)/((-1)/9). Let j = -34 - h. Let i(p) = -13*p**2 + 316*p - 77. Calculate the remainder when j is divided by i(24).\n | 18\n | ibivibiv/math_instruct | |
Let c(z) = z - 85. Let l be c(0). Let y be (68/l)/((-4)/10). Suppose -5*a - 5*p + 110 = 0, y - 4 = 2*p. What is the remainder when a is divided by 6?\n | 5\n | ibivibiv/math_instruct | |
Round -0.00000092488 to six dps.\n | -0.000001\n | ibivibiv/math_instruct | |
Let g(l) = 8433*l - 13488. Does 89 divide g(5)?\n | False\n | ibivibiv/math_instruct | |
-2 (base 15) to base 10\n | -2\n | ibivibiv/math_instruct | |
Let s(z) = 2*z**2. Let x(m) = m + 120. Determine s(x(h)).\n | 2*h**2 + 480*h + 28800\n | ibivibiv/math_instruct | |
Let v be (-2)/(-25)*6/(-4). Let w be (-2)/(5/(-3) - (-7)/(-21)). Do v and w have the same value?\n | False\n | ibivibiv/math_instruct | |
-0.3 * 873098\n | -261929.4\n | ibivibiv/math_instruct | |
Suppose -7*b + 91 = -2*b + d, 2*b = -4*d + 40. Suppose b = r + 8. Let p be r*((-39)/(-5) - -3). What is the highest common divisor of 12 and p?\n | 12\n | ibivibiv/math_instruct | |
Rearrange -1 - 3*n**2 + 0*n**2 - 1 + 2*n**2 to s*n + f*n**2 + m and give f.\n | -1\n | ibivibiv/math_instruct | |
Is 1010 a factor of 516110?\n | True\n | ibivibiv/math_instruct | |
Calculate (-44 + -11 - (-35 - -2)) + 19.\n | -3\n | ibivibiv/math_instruct | |
What is 1178399234 to the power of 1/2, to the nearest integer?\n | 34328\n | ibivibiv/math_instruct | |
Let p be 2*1 + 6*3/9. Let l = 18 + 20. Let k = -34 + l. Solve -k*z + 12 + p = 0 for z.\n | 4\n | ibivibiv/math_instruct | |
Find the third derivative of -593227*k**4 - 1308407*k**2 wrt k.\n | -14237448*k\n | ibivibiv/math_instruct | |
Let i = 29 + 23. Let v be i/4*(1 + -3). Let y = -16 - v. Calculate the lowest common multiple of 11 and y.\n | 110\n | ibivibiv/math_instruct |
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