instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is next in 256, -130, -1174, -3206, -6556, -11554, -18530?\n | -27814\n | ibivibiv/math_instruct | |
What is -25 (base 14) in base 16?\n | -21\n | ibivibiv/math_instruct | |
Round -135.1894 to the nearest integer.\n | -135\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 1040 and 390.\n | 130\n | ibivibiv/math_instruct | |
Find the third derivative of -15*a**5*y**2 + 2502*a**5*y + 63*a**2 - 152*y**2 wrt a.\n | -900*a**2*y**2 + 150120*a**2*y\n | ibivibiv/math_instruct | |
Solve -135*v + 10236 = 17121 for v.\n | -51\n | ibivibiv/math_instruct | |
Let v = 1359 + 233. Let a = 3263 - v. Is (4/(-6))/((-2)/a) composite?\n | False\n | ibivibiv/math_instruct | |
Let q(c) = 14*c**2 + 24. Let h(k) = 9*k**2 + 15. Let l(d) = -8*h(d) + 5*q(d). Let v(y) = -143*y. Calculate l(v(z)).\n | -40898*z**2\n | ibivibiv/math_instruct | |
Let t(m) = m**3 + 7*m**2 + 6*m - 5. Let h be 24/28*(-7 + 0). Let b be t(h). Let x = 0.3 + -0.2. What is the closest to x in 2, -1/5, b?\n | -1/5\n | ibivibiv/math_instruct | |
Let q(n) = n + 181. Let c(o) = -12*o**2 + 15*o - 30. Let r(g) = g**2 - g + 2. Let a(s) = -c(s) - 15*r(s). Give q(a(h)).\n | -3*h**2 + 181\n | ibivibiv/math_instruct | |
What is 35 minutes after 9:06 PM?\n | 9:41 PM\n | ibivibiv/math_instruct | |
Let g be (63 - 2) + 12 + -7. Let a = g - 59. Solve -a*q + 30 = -q for q.\n | 5\n | ibivibiv/math_instruct | |
What is the tens digit of 802707?\n | 0\n | ibivibiv/math_instruct | |
Let x(r) = 36*r - 55. What is x(6)?\n | 161\n | ibivibiv/math_instruct | |
Is 1315683461 a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose -2441 = -5*p - 4*c, 3*p + 3*c = -0*p + 1467. Suppose 2*h = 3*m + 438 + 511, h + 2*m - p = 0. Is h a prime number?\n | True\n | ibivibiv/math_instruct | |
Solve -5 = -5*w - 20, 16*h + 5*w - 349 = 596 for h.\n | 60\n | ibivibiv/math_instruct | |
Simplify 4 + (-2 + ((sqrt(21) + sqrt(336) - sqrt(21))*-3)/(sqrt(27)*-1))**2.\n | -16*sqrt(7) + 120\n | ibivibiv/math_instruct | |
Simplify (k**(-3/4)/(k/k**3*k))/(((k*(k**(2/15)/k)/k)/k)/k**4) assuming k is positive.\n | k**(367/60)\n | ibivibiv/math_instruct | |
Determine p, given that p**2/5 - 52*p + 14691/5 = 0.\n | 83, 177\n | ibivibiv/math_instruct | |
Let u be 1/(-2) + -3 + (-345)/(-2). Suppose 5*p - 116 - u = 0. What are the prime factors of p?\n | 3, 19\n | ibivibiv/math_instruct | |
-7065 (base 8) to base 15\n | -1127\n | ibivibiv/math_instruct | |
Let -15*d**3 + 70*d**2 - 105*d + 50 = 0. Calculate d.\n | 1, 5/3, 2\n | ibivibiv/math_instruct | |
Let g = -51 + 138. Let j = -50 + g. Is j a prime number?\n | True\n | ibivibiv/math_instruct | |
Let b(c) be the third derivative of 13*c**5/60 + 108*c**2. Let x(i) = 9*i**2. Determine b(x(t)).\n | 1053*t**4\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 9367663 and 51.\n | 17\n | ibivibiv/math_instruct | |
Let q(h) = 2*h**3 - 30*h**2 - 27*h - 126. Give q(16).\n | -46\n | ibivibiv/math_instruct | |
Calculate 1/((-2)/(10/1)).\n | -5\n | ibivibiv/math_instruct | |
What is the next term in -783, -2054, -4173, -7140, -10955, -15618, -21129?\n | -27488\n | ibivibiv/math_instruct | |
Solve 2*r + 2*r + 4*a - 16 = 0, -11 = -5*r - 2*a for r.\n | 1\n | ibivibiv/math_instruct | |
Suppose -8*v + 4*v + 12 = 0. Let c(w) = 1 + 3*w**2 - 2*w + v*w**2 - 5*w**2. What is c(2)?\n | 1\n | ibivibiv/math_instruct | |
Let h(v) be the third derivative of -v**8/10080 + v**7/2520 - v**5/30 - 16*v**2. Let z(k) be the third derivative of h(k). Factor z(s).\n | -2*s*(s - 1)\n | ibivibiv/math_instruct | |
Which is the nearest to -4? (a) -1 (b) -111/10 (c) 0.1 (d) 4\n | a\n | ibivibiv/math_instruct | |
Let l(f) = f**2 - f - 2. Let a be l(2). Let u be -1358*(34/36 - (0 - -1)). Let d = u + -75. Is a at most d?\n | True\n | ibivibiv/math_instruct | |
What is 10345543.431 rounded to the nearest 1000?\n | 10346000\n | ibivibiv/math_instruct | |
Evaluate 2/6*-8*1/2.\n | -4/3\n | ibivibiv/math_instruct | |
Let s(d) = 20*d - 10. Let f(b) = 20*b + 8*b - 48*b + 19*b. Give s(f(t)).\n | -20*t - 10\n | ibivibiv/math_instruct | |
Expand (4*r - r - r)*(-1 + 1 - 3)*(2 + 1 + 3).\n | -36*r\n | ibivibiv/math_instruct | |
5 (base 12) to base 6\n | 5\n | ibivibiv/math_instruct | |
Rearrange 0*y - 6*y - 4*y + 17*y to g + d*y and give d.\n | 7\n | ibivibiv/math_instruct | |
Let q = -37/14 - -459/28. What is the common denominator of q and ((-525)/400)/((6/(-56))/(-1))?\n | 4\n | ibivibiv/math_instruct | |
Simplify (sqrt(135)/sqrt(27) - sqrt(45)) + -5 + ((sqrt(270)*4)/(sqrt(24)*1))**2.\n | -2*sqrt(5) + 175\n | ibivibiv/math_instruct | |
Let k(a) = -12*a**4 + 21*a**2 - 3*a. Let i(p) = 13*p**4 - 22*p**2 + 2*p. Let z(r) = 3*i(r) + 2*k(r). What is the third derivative of z(w) wrt w?\n | 360*w\n | ibivibiv/math_instruct | |
Let k = -40 - -36.8. Let y = 4.2 + k. Let g = 0.1 + 0. Which is the third biggest value? (a) -3/2 (b) g (c) y\n | a\n | ibivibiv/math_instruct | |
Divide 20 by -5.\n | -4\n | ibivibiv/math_instruct | |
Solve -5*z - 5*o + 365 - 350 = 0, 0 = -4*z - 258*o + 1790 for z.\n | -4\n | ibivibiv/math_instruct | |
1 divided by -61583\n | -1/61583\n | ibivibiv/math_instruct | |
Calculate -0.04*-0.193.\n | 0.00772\n | ibivibiv/math_instruct | |
Simplify (l*l/l**(2/29)*l)**10 assuming l is positive.\n | l**(850/29)\n | ibivibiv/math_instruct | |
What is 800646672 to the power of 1/7, to the nearest integer?\n | 19\n | ibivibiv/math_instruct | |
Solve 0 = 4*n - 4*o - 4, o = 1062*n - 1064*n + 8 for n.\n | 3\n | ibivibiv/math_instruct | |
What is 31 + -4 + -9 + 7?\n | 25\n | ibivibiv/math_instruct | |
Let v(h) = h**3 - 6*h**2 - 2*h + 5. Let k be v(5). Let z be 96/k + -1 + 5. Determine i, given that z*i + 0 - 2/5*i**2 = 0.\n | 0, 2\n | ibivibiv/math_instruct | |
Suppose -9*b - 36 = -7*b. Let z(k) = 21*k - 9. Let a(g) = -5*g + 2. Determine b*a(v) - 4*z(v).\n | 6*v\n | ibivibiv/math_instruct | |
List the prime factors of 4880.\n | 2, 5, 61\n | ibivibiv/math_instruct | |
-9d7ee7 (base 16) to base 9\n | -21371557\n | ibivibiv/math_instruct | |
Let o(f) = 2*f**4 - 12*f**3 + 26*f**2 - 26*f + 10. Let g(q) = 6*q**4 - 36*q**3 + 78*q**2 - 79*q + 31. Let z(k) = -2*g(k) + 7*o(k). Find a, given that z(a) = 0.\n | 1, 2\n | ibivibiv/math_instruct | |
What is the highest common divisor of 6381835 and 43523?\n | 71\n | ibivibiv/math_instruct | |
Let s(b) = -b. Let a be 115/35 - (-4)/(-14). Let k(v) = 7*v**2 - 4*v + v + a*v. Determine k(s(d)).\n | 7*d**2\n | ibivibiv/math_instruct | |
Let d(t) = -t + 9. Let v be d(4). Let h(s) = -s + 1. Let k(x) = -5*x - 5. Let z(o) = -6*h(o) + k(o). Give z(v).\n | -6\n | ibivibiv/math_instruct | |
5314.5 times 2180\n | 11585610\n | ibivibiv/math_instruct | |
Sort 0, -24, -3, 12, -5 in decreasing order.\n | 12, 0, -3, -5, -24\n | ibivibiv/math_instruct | |
What is the hundreds digit of 1174532?\n | 5\n | ibivibiv/math_instruct | |
What is the square root of 350265 to the nearest integer?\n | 592\n | ibivibiv/math_instruct | |
What is 3/40 of a litre in millilitres?\n | 75\n | ibivibiv/math_instruct | |
Divide 169648 by -84824.\n | -2\n | ibivibiv/math_instruct | |
How many months are there in 56257.8 millennia?\n | 675093600\n | ibivibiv/math_instruct | |
Let q = -58 + 121. Let d(a) = a**2 + 2*a - 6. Let n be d(-5). Let y be -2*2/((-4)/n). What is the highest common divisor of y and q?\n | 9\n | ibivibiv/math_instruct | |
Collect the terms in -1115 + 419 + 2*r + 897 + 0*r.\n | 2*r + 201\n | ibivibiv/math_instruct | |
Is 20199721 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let o(k) = -k**3 - 12*k**2 - 15*k - 13. What is o(-11)?\n | 31\n | ibivibiv/math_instruct | |
What is the value of 11 + -1 + (-1282 - -1326) + 4 + -2?\n | 56\n | ibivibiv/math_instruct | |
Let w be (-688)/(-12) + 4/6. Suppose 5*a - 5*r - 70 = 0, 4*a - 2*r = w + 6. Let j = a + -8. What are the prime factors of j?\n | 2, 5\n | ibivibiv/math_instruct | |
Simplify (r**5/((r*r/((r/(r/r**1))/r))/r)*(r**0)**(3/16))/(((r*r**(-1/3)*r)/r)**(1/33))**(-1/29) assuming r is positive.\n | r**(11486/2871)\n | ibivibiv/math_instruct | |
Simplify ((-2*sqrt(1280) + sqrt(20) - sqrt(20))/(sqrt(10) - 4*sqrt(40)) - (-1 + (-2*sqrt(200))/sqrt(4))) + 0.\n | 1 + 86*sqrt(2)/7\n | ibivibiv/math_instruct | |
Let u(p) = -p**2 - 11*p + 5. Let h be u(-11). Let f = -547/1260 + 1/180. Which is the nearest to -0.1? (a) h (b) 2/11 (c) f\n | b\n | ibivibiv/math_instruct | |
Let q(a) be the first derivative of -a**3/12 + 7*a**2/4 + 29. Solve q(j) = 0 for j.\n | 0, 14\n | ibivibiv/math_instruct | |
What is 639 minutes before 11:52 PM?\n | 1:13 PM\n | ibivibiv/math_instruct | |
What are the prime factors of 382129?\n | 11, 34739\n | ibivibiv/math_instruct | |
5 * -0.189\n | -0.945\n | ibivibiv/math_instruct | |
Solve -185*b = -1306*b + 54096 - 203189 for b.\n | -133\n | ibivibiv/math_instruct | |
Expand (1 - 3 + 7)*(7*a - 9*a + 5 + 7*a).\n | 25*a + 25\n | ibivibiv/math_instruct | |
Let l(n) = n**3 - 8*n**2 + 6*n + 9. Suppose 2*t = 3*j + 101, -j + 38 = -2*j + 5*t. Let y be (-7)/(-3)*j/(-11). Calculate l(y).\n | 2\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -5, 20, 2.7, 85, 4?\n | 2.7\n | ibivibiv/math_instruct | |
Suppose 4*u + 5*j + 50 = 112, 64 = 5*u + 4*j. Suppose -q - 3*q - 4 = g, 4*q = -4. Suppose g = -5*o + 155 - 50. Calculate the remainder when o is divided by u.\n | 5\n | ibivibiv/math_instruct | |
Which is the nearest to -0.2? (a) 0.069 (b) -0.5 (c) -4\n | a\n | ibivibiv/math_instruct | |
Does 18 divide 579780?\n | True\n | ibivibiv/math_instruct | |
What is 0.000025812 rounded to seven decimal places?\n | 0.0000258\n | ibivibiv/math_instruct | |
What is the square root of 943 to the nearest integer?\n | 31\n | ibivibiv/math_instruct | |
Differentiate 213*c*k**3 + c*o + 98*k**3*o - 2*o with respect to c.\n | 213*k**3 + o\n | ibivibiv/math_instruct | |
Solve -3*r + 259*v - 256*v = 24, 2*r - v = -11 for r.\n | -3\n | ibivibiv/math_instruct | |
What is the next term in 161, 162, 165, 170?\n | 177\n | ibivibiv/math_instruct | |
Expand (364*u + u**2 - 403*u + 0*u**2)*(5*u - 6*u + 2*u).\n | u**3 - 39*u**2\n | ibivibiv/math_instruct | |
Let r = 20 - -396. Calculate the highest common divisor of r and 26.\n | 26\n | ibivibiv/math_instruct | |
Solve 5*y = -5*o + 45, 12*y - 16 = -6*o + 17*o + 9 + 14 for y.\n | 6\n | ibivibiv/math_instruct | |
Let x(j) = 15*j - 9. Calculate x(1).\n | 6\n | ibivibiv/math_instruct | |
Put together -131862304 and 8132.\n | -131854172\n | ibivibiv/math_instruct | |
What is the square root of 206817 to the nearest integer?\n | 455\n | ibivibiv/math_instruct | |
Factor -3*r**2 - 402*r - 13467.\n | -3*(r + 67)**2\n | ibivibiv/math_instruct | |
Collect the terms in -2261*m + 4531*m - 2227*m.\n | 43*m\n | ibivibiv/math_instruct |
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