instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
b"What is the pth term of 165, 257, 349, 441, 533, 625?\n" | 92*p + 73\n | ibivibiv/math_instruct | |
Let q(x) = -x**3 + 5*x - 3. Let b be q(3). Let h = -11 - b. Find the third derivative of 3*p**2 - h*p**2 - 3*p**6 + 0*p**6 + 4*p**2 wrt p.\n | -360*p**3\n | ibivibiv/math_instruct | |
Let k be 14/35*-1 - 124/(-10). List the prime factors of 504/(-9 + k) - -8.\n | 2, 11\n | ibivibiv/math_instruct | |
Collect the terms in -9131*s**2 + 4315*s**2 + 4818*s**2.\n | 2*s**2\n | ibivibiv/math_instruct | |
What is the common denominator of 500/120 + ((-6)/(-5))/(-6) and 3/33*8/6?\n | 330\n | ibivibiv/math_instruct | |
How many minutes are there between 3:33 PM and 9:26 PM?\n | 353\n | ibivibiv/math_instruct | |
Let z be -742 - 1*(0 - -2). Suppose -692 = 5*v - 7*v. Let o = v - z. What is o rounded to the nearest one hundred?\n | 1100\n | ibivibiv/math_instruct | |
Suppose -2*n = 3*r - n - 3, -5*n - 1 = -r. Let t be (-3*r)/((-4)/(-88)). Find the common denominator of (-1 - 63/t)*2 and 37/11.\n | 11\n | ibivibiv/math_instruct | |
Suppose -9*l + 40 = -5*l. Solve l*h - 5*h = -20 for h.\n | -4\n | ibivibiv/math_instruct | |
b"What is the th term of -763325, -3053383, -6870149, -12213617, -19083781?\n" | b**3 - 763360*b**2 + 15*b + 19\n | ibivibiv/math_instruct | |
Let b(k) = k**3 + 7*k**2 + 5*k + 8. Let p be b(-6). Let f = p + 66. Let v = 20 + -12. What is the highest common factor of f and v?\n | 8\n | ibivibiv/math_instruct | |
Let t(g) = -g**3 + g**2 - g. Let y be t(0). Suppose y = -4*k - 4 - 4, -2*k - 60 = -2*m. Let b = -14 + m. What is the units digit of b?\n | 4\n | ibivibiv/math_instruct | |
Suppose 134 = d + 5*s, 4*s - 18 = -2. What is the units digit of ((-76)/d)/((-2)/2265)?\n | 5\n | ibivibiv/math_instruct | |
Let s(r) = -2354*r - 39669. Determine s(-16).\n | -2005\n | ibivibiv/math_instruct | |
Expand (253*z + 181*z + 211*z)*(-2*z**3 + 0*z**3 + 4*z**3 + (-1 + 1 - 2*z)*(-z**2 - z**2 + 0*z**2) + 2*z**2 - 2*z**2 - 2*z**3).\n | 2580*z**4\n | ibivibiv/math_instruct | |
Which is greater: -139 or -138?\n | -138\n | ibivibiv/math_instruct | |
Is 392 a factor of 77413336?\n | True\n | ibivibiv/math_instruct | |
What is the millions digit of 17279035?\n | 7\n | ibivibiv/math_instruct | |
What is the biggest value in -1/1481480, -0.4, 4?\n | 4\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 179320406?\n | 3\n | ibivibiv/math_instruct | |
Multiply -94755 and -1.\n | 94755\n | ibivibiv/math_instruct | |
Let n = 1683 - 1754. Put n, -5, 0 in decreasing order.\n | 0, -5, n\n | ibivibiv/math_instruct | |
Sort -8349, -5, -8 in descending order.\n | -5, -8, -8349\n | ibivibiv/math_instruct | |
Is 4777695373 composite?\n | True\n | ibivibiv/math_instruct | |
What is the units digit of 8661?\n | 1\n | ibivibiv/math_instruct | |
Let a(b) = -2*b - 3. Let h be a(-3). Suppose 5*f - h*i = -0*i - 16, 2*f + 4 = 2*i. Let n(x) = 3*x + 3. Let o(j) = -2*j - 2. Calculate f*o(z) - 4*n(z).\n | -2*z - 2\n | ibivibiv/math_instruct | |
What is the tenth root of 9791754 to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 9015 and 3005?\n | 9015\n | ibivibiv/math_instruct | |
What is 37428420 divided by 6540?\n | 5723\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 366 and 6.\n | 6\n | ibivibiv/math_instruct | |
What is -59502.11011 rounded to the nearest 10000?\n | -60000\n | ibivibiv/math_instruct | |
Let x(l) = 3*l**3 + 17*l**2 - 60*l - 4. Determine x(4).\n | 220\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 2156 and 2772.\n | 19404\n | ibivibiv/math_instruct | |
Find the common denominator of -95/3006 and 13/405.\n | 135270\n | ibivibiv/math_instruct | |
Suppose -m - z + 451 = 0, 0 = -5*m + 4*z + 3224 - 987. Calculate the remainder when m is divided by 50.\n | 49\n | ibivibiv/math_instruct | |
What is the second derivative of 2*p**5 + 438*p**4 + 31*p**2 + 151586*p?\n | 40*p**3 + 5256*p**2 + 62\n | ibivibiv/math_instruct | |
How many minutes are there between 3:36 AM and 10:34 AM?\n | 418\n | ibivibiv/math_instruct | |
What is 110 minutes after 11:27 PM?\n | 1:17 AM\n | ibivibiv/math_instruct | |
Is -111/4 < 0.1?\n | True\n | ibivibiv/math_instruct | |
Let u = 6 - 1. Suppose 2*p - 23 = -13. Let o = u - p. Solve 19 = 2*t - 3*g, -4*t = -o*t - 3*g - 29 for t.\n | 5\n | ibivibiv/math_instruct | |
In base 14, what is -370b7 + -5?\n | -370bc\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 3, i: 2, y: 3}. Give prob of picking 2 i.\n | 1/28\n | ibivibiv/math_instruct | |
Product of 3 and -20488276.\n | -61464828\n | ibivibiv/math_instruct | |
Is 155 a multiple of 7?\n | False\n | ibivibiv/math_instruct | |
Let n(v) = -108*v**3 - 3*v**2 + 3*v + 3. Let y be -5 + 0 + (-4 + 12 - 4). Is n(y) a multiple of 21?\n | True\n | ibivibiv/math_instruct | |
Let y(a) = -a - 1. Let x(l) = -2*l - 3. Let k be x(-3). Suppose -5*d = -k*d. Let u(q) = -q**2 + 4. Let m be u(d). Determine y(m).\n | -5\n | ibivibiv/math_instruct | |
Let x = 0 + 3. Let h = -5.9 - -6. Which is the nearest to h? (a) -1 (b) 2 (c) x\n | a\n | ibivibiv/math_instruct | |
Simplify (m*m**5*m/(m*m*m**(3/7))*m*m)**30/(m**2*m*((m*m/(m/(m*m*m**(-1/3)*m)*m))/m)/m)**(-48) assuming m is positive.\n | m**(2612/7)\n | ibivibiv/math_instruct | |
Three letters picked without replacement from hcjkhutu. What is prob of sequence hju?\n | 1/84\n | ibivibiv/math_instruct | |
Let w = 478439/36 - 13289. Let m = 1941 - 69863/36. Calculate the common denominator of m and w.\n | 36\n | ibivibiv/math_instruct | |
Is 933 a factor of 112171791?\n | True\n | ibivibiv/math_instruct | |
Sort 4, -42, -21669 in ascending order.\n | -21669, -42, 4\n | ibivibiv/math_instruct | |
Expand (-2 - 1 + 1)*(2*n + 0 + 0) - 10 + 10 + 12*n.\n | 8*n\n | ibivibiv/math_instruct | |
Suppose -2*l**3/9 + 2*l**2 - 40*l/9 + 8/3 = 0. Calculate l.\n | 1, 2, 6\n | ibivibiv/math_instruct | |
What is the units digit of 16169?\n | 9\n | ibivibiv/math_instruct | |
How many minutes are there between 11:59 AM and 8:49 PM?\n | 530\n | ibivibiv/math_instruct | |
Expand 4 - a**2 - 4 + (-a + a - a)*(-a - 2*a + 4*a) + ((-3 + 4 - 4)*(0 + 1 + 0) + 2 - 1 + 0)*(0*a**2 - 6*a**2 + 3*a**2).\n | 4*a**2\n | ibivibiv/math_instruct | |
Calculate prob of sequence ks when two letters picked without replacement from {j: 2, s: 1, x: 1, i: 2, r: 1, k: 2}.\n | 1/36\n | ibivibiv/math_instruct | |
Calculate the common denominator of 10/268713 and -62/268713.\n | 268713\n | ibivibiv/math_instruct | |
-132 * 1590.76\n | -209980.32\n | ibivibiv/math_instruct | |
Let b be 130/(-39)*(-3)/2. Solve r - 2 + b = 0 for r.\n | -3\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Determining the rank of a sparse tensor in $\mathbb{R}^{2 \times 2 \times 2}$
In this question I will only consider order 3 tensors.
Consider the following tensor in $\mathbb{R}^{2 \times 2 \times 2}$ (which I want to pro... | Tensors are multi-dimensional arrays of numerical values, which generalize matrices to higher dimensions. They play a crucial role in many fields including linear algebra, physics, computer science, and engineering. This discussion focuses on determining the rank of a third-order sparse tensor $T'$ in ${\mathbb{R}}^{2... | ibivibiv/math_instruct | |
(-3 - (3 + -5)) + (17 - 24)\n | -8\n | ibivibiv/math_instruct | |
What is the nearest to 2/157 in -3, 1, -2638?\n | 1\n | ibivibiv/math_instruct | |
Sort 1.5037, 2, -17, 0, -0.2 in increasing order.\n | -17, -0.2, 0, 1.5037, 2\n | ibivibiv/math_instruct | |
Sort -2336, 2, -9, -893 in ascending order.\n | -2336, -893, -9, 2\n | ibivibiv/math_instruct | |
Let u(x) = -24*x + 3. Let f(c) = -49*c + 6. Give -6*f(y) + 13*u(y).\n | -18*y + 3\n | ibivibiv/math_instruct | |
Suppose 1739*i = 1741*i - 3352. Is i a multiple of 8?\n | False\n | ibivibiv/math_instruct | |
What is the second derivative of 32991*o**5*q + 3494*o**2*q + 50*o*q + 154*o + 14*q + 105 wrt o?\n | 659820*o**3*q + 6988*q\n | ibivibiv/math_instruct | |
Calculate the remainder when 1052 is divided by 211.\n | 208\n | ibivibiv/math_instruct | |
Simplify ((a/a**(1/10))/a**(1/10))/(a**(-16/3)/(a/(a/a**(-3)))) assuming a is positive.\n | a**(47/15)\n | ibivibiv/math_instruct | |
Simplify ((sqrt(637)*1 + -4)*-1)**2.\n | -56*sqrt(13) + 653\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(1.9877 % 73.1311) * (31.4161 / -32.9368) | -1.8959 | ibivibiv/math_instruct | |
Let r(l) = -6*l - 7. Let v be r(-2). Suppose 17 = -14*f + 115. Let a = 10 - f. Solve -3*o = -v*g - 8, 5 = a*o - 0*o - 2*g for o.\n | 1\n | ibivibiv/math_instruct | |
Suppose 106*b = 17*b - 3*b. Which is greater: -52/667 or b?\n | b\n | ibivibiv/math_instruct | |
11 divided by -4359\n | -11/4359\n | ibivibiv/math_instruct | |
Which is smaller: -37/214 or 1.01?\n | -37/214\n | ibivibiv/math_instruct | |
Let g(i) = i**3 - 6*i**2 + 2*i - 9. Let r be 4 + (-7 - 0) + 9. Calculate g(r).\n | 3\n | ibivibiv/math_instruct | |
Let b = 0.07 - 0.06. Let d = 1.69 + b. Let u = -1.9 + d. What is the second biggest value in u, 0, 2/3?\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in -57*b + 28*b + 97*b + 42*b + 3*b + 105*b.\n | 218*b\n | ibivibiv/math_instruct | |
What is the value of 39 - 2 - (-11 - (19 + -40 + 0))?\n | 27\n | ibivibiv/math_instruct | |
Let d(u) = 12852*u - 102914. Give d(8).\n | -98\n | ibivibiv/math_instruct | |
Suppose -2*s + 4 = -5*b - 0, -5*s = -10. Solve 3*a - 6 = -b*a for a.\n | 2\n | ibivibiv/math_instruct | |
Let h = 19 + 11. Suppose -v - h = -4*v. Solve 2*x + v = -2*m, 0 = -4*m + m - x - 15 for m.\n | -5\n | ibivibiv/math_instruct | |
2 (base 12) to base 9\n | 2\n | ibivibiv/math_instruct | |
What are the prime factors of 114558?\n | 2, 3, 61, 313\n | ibivibiv/math_instruct | |
Let v(l) = 8*l + 8. Let i be (-19)/7 - 6/21. Let m = -2 + i. Let y(s) be the third derivative of 7*s**4/24 + 7*s**3/6 - s**2. Determine m*v(a) + 6*y(a).\n | 2*a + 2\n | ibivibiv/math_instruct | |
Simplify ((q**(-2/15)/q*q)/q*q/(q**(-1)*q))**(-18) assuming q is positive.\n | q**(12/5)\n | ibivibiv/math_instruct | |
Let n(q) be the first derivative of 0*q**2 - 3 + 18*q + 15/4*q**4 + 0*q**3. Differentiate n(j) with respect to j.\n | 45*j**2\n | ibivibiv/math_instruct | |
Is 90 a multiple of 15?\n | True\n | ibivibiv/math_instruct | |
Let l(v) = 16*v + 9 - 9. Let t(u) = -2*u. What is t(l(c))?\n | -32*c\n | ibivibiv/math_instruct | |
Which is greater: -2 or 345?\n | 345\n | ibivibiv/math_instruct | |
Let q(o) be the second derivative of 47*o**3 - o**2/2 + 2*o - 1. Is q(7) a prime number?\n | True\n | ibivibiv/math_instruct | |
Expand 3*j**3 + 2*j**3 - 3*j**3 - 4*j**4 + 4*j**3 + 3*j**4 - 4*j**3 + j**4 - 3*j**4 + 0*j**4 + (-4 + 2*j + 4)*(j**3 + 2*j**3 - 4*j**3).\n | -5*j**4 + 2*j**3\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 j and 1 k when three letters picked without replacement from jppxiixpipkpjppppxp.\n | 1/969\n | ibivibiv/math_instruct | |
Simplify (sqrt(3) + (sqrt(6)/sqrt(2))**2)*2*-2 - (1 + (sqrt(33) - (sqrt(33) - (sqrt(33)*-1 - sqrt(33)) - sqrt(33)))/sqrt(11)).\n | -13 - 3*sqrt(3)\n | ibivibiv/math_instruct | |
Let y(o) = -2*o - 10. Let m be y(-4). Which is smaller: m or 0?\n | m\n | ibivibiv/math_instruct | |
Solve -2*w**5 + 374*w**4 - 1094*w**3 - 1846*w**2 + 1096*w + 1472 = 0 for w.\n | -1, 1, 4, 184\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {q: 3, m: 17}. Give prob of picking 2 m.\n | 68/95\n | ibivibiv/math_instruct | |
List the prime factors of 2011114582.\n | 2, 1429, 703679\n | ibivibiv/math_instruct |
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