instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate the greatest common factor of 499742438 and 442.\n | 442\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 1186 and 2965.\n | 5930\n | ibivibiv/math_instruct | |
Let j = -44 - -48. Let r(h) = -j - h**2 - 7*h + 6 - 3*h + 7*h. Let s be r(-4). Is s at most as big as -8/5?\n | True\n | ibivibiv/math_instruct | |
What is 204 minutes before 4:23 PM?\n | 12:59 PM\n | ibivibiv/math_instruct | |
In base 5, what is -2242 - 0?\n | -2242\n | ibivibiv/math_instruct | |
Let s(q) = q**3 + 6*q**2 - 17*q - 4. Let i be s(-8). What is the remainder when ((-109)/i)/((-29)/116) is divided by 55?\n | 54\n | ibivibiv/math_instruct | |
Suppose -7 = -4*x - 3, x = -5*m + 1. Let y = m + 0. Let n be y/(3/(9/3)). Which is the smallest value? (a) n (b) -3/8 (c) 1\n | b\n | ibivibiv/math_instruct | |
Let u(w) be the third derivative of w**6/20 - w**5/60 + w**4/24 - w**3/6 + w**2. Calculate the lowest common multiple of (-6)/(-9)*(-66)/(-4) and u(1).\n | 55\n | ibivibiv/math_instruct | |
Let l(v) = v**3 + 2*v**2 - 5*v - 4. Let p be l(-3). Let u = 6 - p. Solve u = 5*g + 29 for g.\n | -5\n | ibivibiv/math_instruct | |
Let o(d) = 6232*d**2 + 16*d - 24. Let p(z) = -8*z**2 + 2*z - 3. Give -o(c) + 8*p(c).\n | -6296*c**2\n | ibivibiv/math_instruct | |
What is 21 + (-6 - 26) + 48?\n | 37\n | ibivibiv/math_instruct | |
Let s(t) = 6*t - 3. Let y be s(2). Suppose 3*c - y = 4*j, 4*c - 3*j - 14 = -2. Solve 3*k = -0 + c for k.\n | 1\n | ibivibiv/math_instruct | |
Let x = 1 - -23. Does 24 divide x?\n | True\n | ibivibiv/math_instruct | |
Round -0.0595152 to 2 dps.\n | -0.06\n | ibivibiv/math_instruct | |
Simplify 5 + (((1 + sqrt(605))*6*3)**2 - 1*(3 + (sqrt(605)*1 - sqrt(605)))**2).\n | 7128*sqrt(5) + 196340\n | ibivibiv/math_instruct | |
Let j(i) be the second derivative of -1895*i**3/6 - 273*i**2/2 + 5808*i. What is the derivative of j(p) wrt p?\n | -1895\n | ibivibiv/math_instruct | |
Find the third derivative of -82*q*y**5 - 8*q*y - 1479*q + 5899*y**5 - y**3 - 216*y**2 wrt y.\n | -4920*q*y**2 + 353940*y**2 - 6\n | ibivibiv/math_instruct | |
What is the value of 11/(-44) - (-10)/((-240)/162)?\n | -7\n | ibivibiv/math_instruct | |
Let l(b) = -b**2 - 4*b - 3. Let m be l(-4). What is the units digit of (63/(-35))/(m/10)?\n | 6\n | ibivibiv/math_instruct | |
b"What is the pth term of 2397982, 2397977, 2397972, 2397967, 2397962, 2397957?\n" | -5*p + 2397987\n | ibivibiv/math_instruct | |
Let q(h) = 16*h + 17. What is q(-1)?\n | 1\n | ibivibiv/math_instruct | |
Let a = 2620 - 1420. Does 30 divide a?\n | True\n | ibivibiv/math_instruct | |
Let 13*p**5/3 + 25*p**4 - 31*p**3/3 - 129*p**2 + 30*p = 0. Calculate p.\n | -5, -3, 0, 3/13, 2\n | ibivibiv/math_instruct | |
Solve 3625*f - 21 = 3622*f + z, 5*f + 4*z = -33 for f.\n | 3\n | ibivibiv/math_instruct | |
Calculate 6/(-12)*(-9)/(315/(-14)).\n | -1/5\n | ibivibiv/math_instruct | |
Suppose -21*p + 1824 + 533 = 5. Let s(z) = -9*z**3 - 2*z**2 - 2*z - 1. Let m be s(-1). Suppose -m*v = -v - p. What are the prime factors of v?\n | 2\n | ibivibiv/math_instruct | |
How many minutes are there between 2:34 PM and 6:05 PM?\n | 211\n | ibivibiv/math_instruct | |
Suppose 3*r - 5*v = 142, -4*v + 0*v + 36 = r. What is the remainder when r is divided by (10/(-6))/((-2)/18)?\n | 14\n | ibivibiv/math_instruct | |
Let v(o) = o - 4*o + 2*o. Let c(n) = -51*n**2 - 7*n - 21. Let r(h) = -124*h**2 - 17*h - 51. Let w(x) = 17*c(x) - 7*r(x). Calculate v(w(i)).\n | -i**2\n | ibivibiv/math_instruct | |
Let g = 110.225 + -117. Let n = -0.125 + g. Round n to the nearest integer.\n | -7\n | ibivibiv/math_instruct | |
How many millimeters are there in 7/4 of a meter?\n | 1750\n | ibivibiv/math_instruct | |
Evaluate 181 - (-98 - -43 - -124).\n | 112\n | ibivibiv/math_instruct | |
Collect the terms in r**3 + 1843*r**2 - 923*r**2 + 0*r**3 - 920*r**2.\n | r**3\n | ibivibiv/math_instruct | |
Let l(c) = c**2 + c + 1. Let v(w) = 2*w**3 + 4*w**2 + 9*w - 97. Let a(o) = -4*l(o) + v(o). What is the derivative of a(z) wrt z?\n | 6*z**2 + 5\n | ibivibiv/math_instruct | |
Let h(n) = 106*n**2 + 4*n - 10. Let i(w) = -113*w**2 - 5*w + 10. Let t(p) = 4*h(p) + 3*i(p). Find the second derivative of t(j) wrt j.\n | 170\n | ibivibiv/math_instruct | |
Let k = 19 + -14. Suppose -k*b + 103 = -87. Let m be ((-2)/b)/((-2)/(-4)). Sort m, -3, 1/2 in ascending order.\n | -3, m, 1/2\n | ibivibiv/math_instruct | |
Evaluate (-75)/90*(-2)/10.\n | 1/6\n | ibivibiv/math_instruct | |
Evaluate 3/4*(-260)/(-585).\n | 1/3\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {c: 2, i: 1, x: 10, j: 1, n: 3, t: 1}. Give prob of sequence tni.\n | 1/1632\n | ibivibiv/math_instruct | |
Is 1915 a factor of 83959345?\n | True\n | ibivibiv/math_instruct | |
Calculate 4 - (7 - (3 - (31 + -70))).\n | 39\n | ibivibiv/math_instruct | |
Suppose -115*c = -116*c + 40. What is the highest common divisor of c and 10?\n | 10\n | ibivibiv/math_instruct | |
List the prime factors of 94344087.\n | 3, 47, 669107\n | ibivibiv/math_instruct | |
Let l = -402448 - -604895. Is l prime?\n | False\n | ibivibiv/math_instruct | |
Expand 4*m**3 + m**4 - 4*m**3 + (313*m**2 - 17*m**2 + 375*m**2)*(4 - 6 + 3)*(2*m**2 - m**2 + 2*m**2).\n | 2014*m**4\n | ibivibiv/math_instruct | |
Let x(a) = 6*a - 22. Let d(c) = -c - 4. Give -5*d(t) + x(t).\n | 11*t - 2\n | ibivibiv/math_instruct | |
Let a = 620/3 + -208. Let r = -32 + 33. What is the nearest to r in a, 0.5, -0.4?\n | 0.5\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 15 and 35.\n | 5\n | ibivibiv/math_instruct | |
Find the first derivative of 182*d**2 - 39.\n | 364*d\n | ibivibiv/math_instruct | |
Sort -1, 7, -3, -2, 7133, 2, 3.\n | -3, -2, -1, 2, 3, 7, 7133\n | ibivibiv/math_instruct | |
What is the next term in -111, -133, -165, -213, -283, -381, -513?\n | -685\n | ibivibiv/math_instruct | |
b"What is the ath term of -1852640, -7410566, -16673782, -29642294, -46316108?\n" | -a**3 - 1852639*a**2 - 2*a + 2\n | ibivibiv/math_instruct | |
What is c7 (base 16) in base 15?\n | d4\n | ibivibiv/math_instruct | |
Suppose 4*o = 3*g + 10, 3*g + 45 = -o - 2*o. Let y = 100 + g. Let j = y - 34. What is the units digit of j?\n | 6\n | ibivibiv/math_instruct | |
Let m = -34818.99999934854 - -34819. Round m to 7 decimal places.\n | 0.0000007\n | ibivibiv/math_instruct | |
Calculate -189 + 76.\n | -113\n | ibivibiv/math_instruct | |
Round -13189000 to the nearest 100000.\n | -13200000\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {w: 2, r: 2, e: 1, x: 1}. Give prob of picking 1 e, 1 w, and 1 r.\n | 1/5\n | ibivibiv/math_instruct | |
What is (-7175)/53200 + (-6)/(-32)?\n | 1/19\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 b and 1 n when three letters picked without replacement from bcwwwcwbwwwcbbjjbjnw.\n | 1/114\n | ibivibiv/math_instruct | |
Is 559454321 composite?\n | False\n | ibivibiv/math_instruct | |
Let p = 0.03 - 0.03. Let k = p + -5. Which is the nearest to -1/2? (a) -0.3 (b) k (c) -2\n | a\n | ibivibiv/math_instruct | |
What is the closest to -3 in -2, -457, 3/5?\n | -2\n | ibivibiv/math_instruct | |
Let x = 6 - -53. What is the remainder when x is divided by 184/6 - 280/(-210)?\n | 27\n | ibivibiv/math_instruct | |
Let n = -50.679234 + 50.68. What is n rounded to three decimal places?\n | 0.001\n | ibivibiv/math_instruct | |
Let m = -809 - -489. Which is bigger: m or -321?\n | m\n | ibivibiv/math_instruct | |
Simplify i**(1/6)*i/(i*i**6/i)*i**(-1/11)/(i/(i/(i**0*i))) assuming i is positive.\n | i**(-391/66)\n | ibivibiv/math_instruct | |
Suppose -l + 28 = 3*m + 4*l, -2*l = 4*m - 14. Let w(o) = -2*o + 7. Let a(k) = k - 3. Let d(g) = -5*a(g) - 2*w(g). Calculate d(m).\n | 0\n | ibivibiv/math_instruct | |
Suppose -13 = -m - 10. Solve 0 = -5*s - h + 13, -m*s = -9*h + 4*h - 19 for s.\n | 3\n | ibivibiv/math_instruct | |
Solve -56*j + 116*j = -540 for j.\n | -9\n | ibivibiv/math_instruct | |
Is 54022828 a multiple of 524?\n | True\n | ibivibiv/math_instruct | |
Sort 36, 518, 0, 0.1 in decreasing order.\n | 518, 36, 0.1, 0\n | ibivibiv/math_instruct | |
Let r be (0 + 5)*(-944)/(-100). Let b = r - 1632/35. Sort -1, 3/5, b in decreasing order.\n | 3/5, b, -1\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 4/81 (b) -6 (c) 0.1\n | c\n | ibivibiv/math_instruct | |
Calculate -75 divided by -3.\n | 25\n | ibivibiv/math_instruct | |
Collect the terms in -674054113*a + 2 - 674054121*a + 1348108234*a - 18*a**2.\n | -18*a**2 + 2\n | ibivibiv/math_instruct | |
Collect the terms in -2254*j**2 + 1 + 4592*j**2 - 2307*j**2.\n | 31*j**2 + 1\n | ibivibiv/math_instruct | |
Suppose 19*y = 60*y + 87 - 210. Solve 0 = 3*j + j + 2*z + 10, 5*j + y*z + 10 = 0 for j.\n | -5\n | ibivibiv/math_instruct | |
Beth went shopping. She bought x more cans of peas than twice the number of cans of corn that she bought. If she bought 35 cans of peas, how many cans of corn did she buy?
If we know the answer to the above question is 10, what is the value of unknown variable x? | Beth bought x more cans of peas than twice the number of cans of corn that she bought, which means she bought 2 * (number of cans of corn) + x cans of peas.
We are given that she bought 35 cans of peas, so we can write: 2 * (number of cans of corn) + x = 35.
We are also given that the number of cans of corn is 10, so w... | ibivibiv/math_instruct | |
Collect the terms in 204*u - 65*u + 79*u - 67*u + 63*u.\n | 214*u\n | ibivibiv/math_instruct | |
Simplify (j*j**(-9/7)*((((j/j**14)/j)/j*j)/j*j)/j*j)/(j*j*j**(-3)/j*j/j**8) assuming j is positive.\n | j**(-37/7)\n | ibivibiv/math_instruct | |
Solve 21*s - 104*s + 4762 - 1525 = 0 for s.\n | 39\n | ibivibiv/math_instruct | |
What is 45293199 to the power of 1/3, to the nearest integer?\n | 356\n | ibivibiv/math_instruct | |
Let o be ((-4)/5)/((-3717)/4130). Suppose n - 5*n = -24. Let w be 4/n + 3/9. Which is smaller: w or o?\n | o\n | ibivibiv/math_instruct | |
Let p = 806.67 - 813. Let n = p - -4.32. Round n to 1 dp.\n | -2\n | ibivibiv/math_instruct | |
Let c = 1.3 - -0.7. Suppose -r = 5*s, -5*s = -4*r - 17 - 8. What is the second biggest value in s, -10, c?\n | s\n | ibivibiv/math_instruct | |
Let p be (-1)/(5/(-3))*13. Let n = -72903/10 - -7264. Let j = n + p. Calculate the common denominator of -77/6 and j.\n | 6\n | ibivibiv/math_instruct | |
Calculate 2893569 divided by -21.\n | -137789\n | ibivibiv/math_instruct | |
Calculate the remainder when 5825 is divided by 62.\n | 59\n | ibivibiv/math_instruct | |
Let q(h) = -4*h + 49. Let o be q(0). What is the greatest common factor of o and 14?\n | 7\n | ibivibiv/math_instruct | |
Solve -63 - 610 = 16*c - 95*c + 986 for c.\n | 21\n | ibivibiv/math_instruct | |
(27 - (-7 - -30)) + -7\n | -3\n | ibivibiv/math_instruct | |
Let s(n) = -2*n. Let f(w) = 0*w + 4*w - 21*w - 14*w. Determine f(s(l)).\n | 62*l\n | ibivibiv/math_instruct | |
Is 1883241683 prime?\n | True\n | ibivibiv/math_instruct | |
What is the remainder when -114*-5*(-6)/(-45) is divided by 26?\n | 24\n | ibivibiv/math_instruct | |
Let b(k) = 9*k + 7. Let g(f) = -f - 1. Let a be (-2 - (2 + 0)) + 47. Let z = a + -41. Determine z*b(n) + 14*g(n).\n | 4*n\n | ibivibiv/math_instruct | |
What is 6801 to the power of 1/3, to the nearest integer?\n | 19\n | ibivibiv/math_instruct | |
What is 356/(-89)*42/8?\n | -21\n | ibivibiv/math_instruct | |
Is 215614183463 composite?\n | True\n | ibivibiv/math_instruct | |
Let f be -10*(1 - 21/15). Let s = -0.95 - -1. Which is the nearest to 0.1? (a) -1 (b) f (c) s\n | c\n | ibivibiv/math_instruct |
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