instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let s(z) = 2*z + 135. Let w(k) = 7*k + 676. Let j(b) = -11*s(b) + 2*w(b). Let l be j(-17). Solve f + l*f + 4 = 0, 3*f - 1 = -t for t.\n | 4\n | ibivibiv/math_instruct | |
Suppose 5*n + 2*s + 17 = 6*s, -2*s + 7 = -n. Let f be n + 2 + (-455)/(-7) - -2. Suppose 0 = -t + f + 75. Does 12 divide t?\n | False\n | ibivibiv/math_instruct | |
How many litres are there in 967.3176 millilitres?\n | 0.9673176\n | ibivibiv/math_instruct | |
Is 312118 prime?\n | False\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {a: 7, i: 9}. Give prob of picking 4 i.\n | 9/130\n | ibivibiv/math_instruct | |
What is 237 minutes after 4:32 AM?\n | 8:29 AM\n | ibivibiv/math_instruct | |
What are the prime factors of 747?\n | 3, 83\n | ibivibiv/math_instruct | |
Which is greater: 74942 or 6669946/89?\n | 6669946/89\n | ibivibiv/math_instruct | |
Calculate the common denominator of 41/2572423 and 5/1102467.\n | 7717269\n | ibivibiv/math_instruct | |
b"What is the kth term of 152717, 307049, 461383, 615719?\n" | k**2 + 154329*k - 1613\n | ibivibiv/math_instruct | |
Let m = 5.93 - 3.17. Let y = 2.56 - m. Which is the biggest value? (a) -14/3 (b) y (c) 2\n | c\n | ibivibiv/math_instruct | |
Let j(x) be the third derivative of -x**5/60 - 4*x**3/3 + 304*x**2. Let b = -15 + 8. Let k be (-7 - b)/(0 + -3). What is j(k)?\n | -8\n | ibivibiv/math_instruct | |
What is 1276103 (base 9) in base 2?\n | 10101010111000010100\n | ibivibiv/math_instruct | |
What is 140894147 divided by 144211?\n | 977\n | ibivibiv/math_instruct | |
Evaluate 3 + (7 + (7 - 8) + -4 - 1).\n | 4\n | ibivibiv/math_instruct | |
Let p = -3 - -8. Suppose -5*k + 12 = 2. Suppose 0 = 3*n + k*n. Solve p = -n*h - h for h.\n | -5\n | ibivibiv/math_instruct | |
Is -842071 > 1/2?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 8:36 PM and 8:47 PM?\n | 11\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {e: 1, z: 9, c: 1}. Give prob of picking 1 e and 3 z.\n | 14/55\n | ibivibiv/math_instruct | |
Let u(b) = 3*b - 2. Let k(q) = q**3 + q**2 - q - 2. Let w be k(0). Let j be u(w). Does 7 divide 3*1*(j - -13)?\n | False\n | ibivibiv/math_instruct | |
What is 400 minutes before 1:28 AM?\n | 6:48 PM\n | ibivibiv/math_instruct | |
Let k be 10*(-5)/(-5) - 4. Solve 4*s = -k*b + b - 36, 4*b = 2*s - 8 for b.\n | -4\n | ibivibiv/math_instruct | |
Suppose 3*n + 6 = -2*z - 2*n, 4*z - 10 = n. Suppose 41 = z*d + 1. Calculate the highest common factor of 60 and d.\n | 20\n | ibivibiv/math_instruct | |
Simplify (sqrt(10) + 3*-2*sqrt(10) - sqrt(80)/sqrt(2))/((sqrt(6)/(sqrt(3)*-2) - 1*sqrt(288))*5).\n | 14*sqrt(5)/125\n | ibivibiv/math_instruct | |
Solve v + 12 = 4*x, 12 = 4*v - 8653*x + 8649*x for v.\n | 8\n | ibivibiv/math_instruct | |
What is 687 minutes before 3:28 AM?\n | 4:01 PM\n | ibivibiv/math_instruct | |
Simplify (((a*a/a**0)**(-22/3)*a**(-2/11)*a**0)**(3/2))**(3/25) assuming a is positive.\n | a**(-147/55)\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {k: 7, v: 3}. What is prob of sequence vkv?\n | 7/120\n | ibivibiv/math_instruct | |
What is 0.586669 grams in nanograms?\n | 586669000\n | ibivibiv/math_instruct | |
Suppose -5*v = 26 - 51. Suppose 0 = v*n - a + 430005, 4*a = -3*n - 415864 + 157884. Round n to the nearest 10000.\n | -90000\n | ibivibiv/math_instruct | |
Let x = -32 + 37. Suppose 0 = 5*u - x - 15. Suppose 11*k = u*k + 119. What is the remainder when 31 is divided by k?\n | 14\n | ibivibiv/math_instruct | |
Let k = -11 - -15. Suppose -k*a + 5*r = -8, r - 2*r = -2*a + 4. Suppose j + 3 = a*j. Solve -3*c - 26 = -0*c + 5*x, j*x + 16 = -2*c for c.\n | -2\n | ibivibiv/math_instruct | |
What is 4455618090 to the power of 1/3, to the nearest integer?\n | 1646\n | ibivibiv/math_instruct | |
What is the least common multiple of 598 and 1472?\n | 19136\n | ibivibiv/math_instruct | |
Is 48 a factor of 700040?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 916?\n | 2, 229\n | ibivibiv/math_instruct | |
What is prob of picking 1 e and 1 o when two letters picked without replacement from xxeexeoexoeze?\n | 2/13\n | ibivibiv/math_instruct | |
What is 10 divided by 3539?\n | 10/3539\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 450 and 50.\n | 50\n | ibivibiv/math_instruct | |
Is 4270171 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let m(h) be the second derivative of h**5/10 + h**4/4 - h**3/6 - h**2 - 97*h. Let o = -26 - -24. Determine m(o).\n | -4\n | ibivibiv/math_instruct | |
Solve -26*c + 393 = 59*c - 117 for c.\n | 6\n | ibivibiv/math_instruct | |
Solve -512*i + 252160 - 68475 = 623*i + 1026*i for i.\n | 85\n | ibivibiv/math_instruct | |
Suppose 3*s + 0*s - 1 = 2*i, 3*i + 6 = 0. Let a = 2551/564980 - -1/2756. Are a and s equal?\n | False\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {l: 1, m: 1, r: 1, w: 1, x: 1, q: 2}. Give prob of picking 1 w and 1 r.\n | 1/21\n | ibivibiv/math_instruct | |
What is ten ninths of a day in minutes?\n | 1600\n | ibivibiv/math_instruct | |
Let a(j) be the second derivative of 6*j + 4/55*j**6 + 32/33*j**4 + 0*j**2 + 0*j**3 - 1/231*j**7 + 0 - 24/55*j**5. Let a(s) = 0. Calculate s.\n | 0, 4\n | ibivibiv/math_instruct | |
(-1)/((-145)/203*7/(-2))\n | -2/5\n | ibivibiv/math_instruct | |
Let m be ((-10)/(-4))/(15/(-210)). Let d = 37 + m. What is the third derivative of -6*n**6 - 33*n**d + 11*n**2 + 7*n**2 wrt n?\n | -720*n**3\n | ibivibiv/math_instruct | |
What is one tenth of a litre in millilitres?\n | 100\n | ibivibiv/math_instruct | |
Let c = -7005 + 6942. Which is smaller: c or -72?\n | -72\n | ibivibiv/math_instruct | |
List the prime factors of 3502.\n | 2, 17, 103\n | ibivibiv/math_instruct | |
b"What is the dth term of -2658398, -10633585, -23925564, -42534335, -66459898, -95702253?\n" | -2658396*d**2 + d - 3\n | ibivibiv/math_instruct | |
What is 36 - 10 - 17 - 32?\n | -23\n | ibivibiv/math_instruct | |
Let s be (-8)/(-3)*(-198)/88 - -1373. Let r = s + -110. What is the thousands digit of r?\n | 1\n | ibivibiv/math_instruct | |
Let l(x) be the third derivative of 0*x**4 + 0*x**5 - 2*x**2 + 0 + 0*x + 1/30*x**6 - 2/3*x**3. What is the first derivative of l(k) wrt k?\n | 12*k**2\n | ibivibiv/math_instruct | |
Expand -148*u**3 - 65*u**3 + 437*u**3 - 17*u**3 + 1 - 1 + 4*u**3 + 0*u**3 - 5*u**3 + (2*u - 2*u + u)*(-3*u**2 + 2*u**2 - u**2).\n | 204*u**3\n | ibivibiv/math_instruct | |
Determine m, given that -9*m**2 + 1 - 5*m - m - 1 - 3*m**3 = 0.\n | -2, -1, 0\n | ibivibiv/math_instruct | |
What is 28/3 of a week in hours?\n | 1568\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {p: 1, o: 2, d: 4}. What is prob of sequence oddd?\n | 2/35\n | ibivibiv/math_instruct | |
Let t(b) be the second derivative of b**3/6 - b. Let m(i) = -i + 2. Let s be m(-2). Determine t(s).\n | 4\n | ibivibiv/math_instruct | |
Divide -1482 by 13.\n | -114\n | ibivibiv/math_instruct | |
Solve -87 = -140*l + 137*l + 6*b, 6*l + 4*b = -50 for l.\n | 1\n | ibivibiv/math_instruct | |
Does 22 divide 81316?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 20329?\n | 29, 701\n | ibivibiv/math_instruct | |
Three letters picked without replacement from zazvazvdbddzzzzzzdv. Give prob of sequence vvz.\n | 3/323\n | ibivibiv/math_instruct | |
Solve -12 = 4*c + 3*j + 3*j - j, 2*j = 0 for c.\n | -3\n | ibivibiv/math_instruct | |
Let y(h) = -h**3 + 4*h**2 - 2*h - 84. Let b(f) = -12*f**3 + 47*f**2 - 23*f - 924. Give -4*b(u) + 46*y(u).\n | 2*u**3 - 4*u**2 - 168\n | ibivibiv/math_instruct | |
What is 40226.18mm in nanometers?\n | 40226180000\n | ibivibiv/math_instruct | |
Solve 0 = 3*u - 4*s + 2, u + 5 = -2*s - s for u.\n | -2\n | ibivibiv/math_instruct | |
Let q(u) = u + 2. Let f be q(0). Let x = -65 + 86. Suppose 4*l = 5*j - f*j - x, -21 = -3*j + 5*l. List the prime factors of j.\n | 7\n | ibivibiv/math_instruct | |
What is 6659.48 rounded to the nearest 100?\n | 6700\n | ibivibiv/math_instruct | |
Round -0.0077502776 to three dps.\n | -0.008\n | ibivibiv/math_instruct | |
Suppose 4*q + 24 = 5*s, 0 = 7*q - 2*q - 4*s + 21. What is the nearest to q in 0.2, 0.1, -2?\n | -2\n | ibivibiv/math_instruct | |
Determine r so that -4*r**5 - 704*r**4 + 2916*r**3 + 6336*r**2 - 25920*r = 0.\n | -180, -3, 0, 3, 4\n | ibivibiv/math_instruct | |
Let o(m) = -28*m**3 - 440*m**2 - 768*m - 80. Let x(p) = 9*p**3 + 146*p**2 + 256*p + 25. Let v(q) = -5*o(q) - 16*x(q). Factor v(f).\n | -4*f*(f + 2)*(f + 32)\n | ibivibiv/math_instruct | |
Let c(w) = -w**3 - 3*w**2 + 4*w. Let g be c(-4). Suppose -4*u - 2*l = l - 416, g = -4*u + l + 432. Let z = u - 69. What is the units digit of z?\n | 8\n | ibivibiv/math_instruct | |
Suppose -13*y + g + 7 = -15*y, 3*g - 3 = 2*y. Which is the fourth biggest value? (a) y (b) 6 (c) 0.095 (d) 0.4\n | a\n | ibivibiv/math_instruct | |
What is 4 (base 13) in base 11?\n | 4\n | ibivibiv/math_instruct | |
Let r = 6 + -3. Suppose -5*g + 23 = r. Let d = 283 - 270. Solve 1 - d = -g*j for j.\n | 3\n | ibivibiv/math_instruct | |
Expand (0*r**3 + r**3 - 3*r**3)*(0 + 0 + 9301*r + 3413*r + 0)*(2*r - 5*r + 2*r).\n | 25428*r**5\n | ibivibiv/math_instruct | |
Suppose -4*f + 3*c = -1160, -f - c = -0*c - 297. Is f prime?\n | True\n | ibivibiv/math_instruct | |
Expand (-t - 3*t + 5*t)*((-3*t + 3 - 3)*(-7 - 1 + 1) + 4*t - 3*t + t).\n | 23*t**2\n | ibivibiv/math_instruct | |
Round 208100000 to the nearest 1000000.\n | 208000000\n | ibivibiv/math_instruct | |
Collect the terms in 355*c**3 - 2682*c**3 - 4*c + 4*c.\n | -2327*c**3\n | ibivibiv/math_instruct | |
Evaluate ((-4)/(-12))/(55/(-33)).\n | -1/5\n | ibivibiv/math_instruct | |
Let d(o) = -12*o + o**2 - 15 + 48 + 2*o - 15. Let l be d(8). Suppose 2/7*j**4 + 24/7*j + 8/7 + 12/7*j**3 + 26/7*j**l = 0. Calculate j.\n | -2, -1\n | ibivibiv/math_instruct | |
Let b = -1303 + 693. Let n(o) = 33*o - 141. Let x be n(-4). Let a = x - b. Is a a prime number?\n | True\n | ibivibiv/math_instruct | |
Let y(x) = x + 3. Let h be y(-3). Find the second derivative of -3*m**4 + h*m + 5*m**4 - 2*m wrt m.\n | 24*m**2\n | ibivibiv/math_instruct | |
How many millilitres are there in 3/5 of a litre?\n | 600\n | ibivibiv/math_instruct | |
Let j(p) be the first derivative of 0*p + p**2 - 10 + 8/15*p**3 - 1/10*p**4. Factor j(b).\n | -2*b*(b - 5)*(b + 1)/5\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {r: 8, k: 4, i: 2, s: 2}. Give prob of sequence rri.\n | 1/30\n | ibivibiv/math_instruct | |
Does 15 divide (302/(-2))/(18/(-18))?\n | False\n | ibivibiv/math_instruct | |
What is the second derivative of 2*a**3*g**2*o**2 - a**3*g**2 - 2*a**2*c**2*g**2 + 2*a*o - 2*c**2*g + 3*c**2*o**2 - 3*g**2*o**2 + g wrt o?\n | 4*a**3*g**2 + 6*c**2 - 6*g**2\n | ibivibiv/math_instruct | |
Is 192 equal to -5/7?\n | False\n | ibivibiv/math_instruct | |
Calculate the remainder when 75249 is divided by 74997.\n | 252\n | ibivibiv/math_instruct | |
Let m(q) = -q**3 + q + 2. Let f be m(0). Suppose -3*b + f*v = -11, 0 = 4*b - 4*v - 6 - 10. What is the third derivative of -k**2 - k**3 - k**3 + b*k**3 wrt k?\n | 6\n | ibivibiv/math_instruct | |
Find o such that -5*o**3/2 - 23371*o**2 - 9348*o = 0.\n | -9348, -2/5, 0\n | ibivibiv/math_instruct | |
Let u = -339 + 341. List the prime factors of (u + 129 - (-2)/2) + 1.\n | 7, 19\n | ibivibiv/math_instruct | |
What is -303 divided by -5?\n | 303/5\n | ibivibiv/math_instruct |
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