Datasets:
amehta633
/
math

Dataset card Data Studio Files
xet
 Community
1
conversations
listlengths
2
2
[ { "from": "human", "value": "How many months are there in fifty-one quarters of a decade?" }, { "from": "gpt", "value": "1530" } ]
[ { "from": "human", "value": "What is the tenth root of 648 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose 4*w + i - 6 = 0, 2*i = -i - 6. Suppose 0*z + w = z. Solve 0 = -3*y - 3*r + 4*r, -z*r = -4*y - 2 for y." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the value of (5/10)/(60/(-80))?" }, { "from": "gpt", "value": "-2/3" } ]
[ { "from": "human", "value": "Suppose -5*f**2 + 895*f = 0. Calculate f." }, { "from": "gpt", "value": "0, 179" } ]
[ { "from": "human", "value": "Divide 891 by -6." }, { "from": "gpt", "value": "-297/2" } ]
[ { "from": "human", "value": "Suppose 6*i + 8 = 4*i. Sort i, -3, -6 in descending order." }, { "from": "gpt", "value": "-3, i, -6" } ]
[ { "from": "human", "value": "Solve 20*q = 28 - 168 for q." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let f = 0 + 1. What is the smallest value in -4, f, 0.1?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Round 0.001216 to 4 dps." }, { "from": "gpt", "value": "0.0012" } ]
[ { "from": "human", "value": "What is the product of 4 and 0.1126646?" }, { "from": "gpt", "value": "0.4506584" } ]
[ { "from": "human", "value": "What is the thousands digit of 5986?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate 1 divided by -6." }, { "from": "gpt", "value": "-1/6" } ]
[ { "from": "human", "value": "Let p = -4 - -8. Let x(g) = 2*g + 9. Let m(h) = 3*h - 4. Let v(l) = 7*l - 7. Let j(b) = -13*m(b) + 6*v(b). Let t(n) = -4*j(n) + 5*x(n). Calculate t(p)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -2*b - 3*v - 9 = 0, 4*b + 27 = -v + 4*v. Let s = 20 - b. Calculate the highest common factor of s and 13." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Suppose 10 = -4*i - 2*w, 4*w = -3*i - 10 - 10. Solve i = 5*g - 2*y - 16, g + 3*y + 2*y - 14 = 0 for g." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 2*g = 8*g - 36. Solve 0 = -4*x - d - g - 1, 3*x + 4*d = -2 for x." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the third derivative of 16*i**5 + 26*i**2 - 39*i**2 + 12*i**2 wrt i?" }, { "from": "gpt", "value": "960*i**2" } ]
[ { "from": "human", "value": "What is next in -3385, -3384, -3383, -3382?" }, { "from": "gpt", "value": "-3381" } ]
[ { "from": "human", "value": "What is the j'th term of -4, 9, 34, 77, 144, 241, 374?" }, { "from": "gpt", "value": "j**3 + 6*j - 11" } ]
[ { "from": "human", "value": "How many minutes are there between 8:03 PM and 10:56 PM?" }, { "from": "gpt", "value": "173" } ]
[ { "from": "human", "value": "Let h(s) = 24*s**2 + 1. Let o be h(1). Let w = 41 - o. Suppose -6*n + 3*n = 5*b - w, -20 = 5*b. What is the greatest common factor of 84 and n?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Let j = -13.14 - -13. Let s = -0.64 - j. Which is the second biggest value? (a) -2/17 (b) s (c) 0.4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Calculate (-28)/12*(-45)/21." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate the remainder when 310 is divided by 13." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let t = 4 + -6. Let f = t - -8. What is the units digit of f?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the w'th term of 5140, 10285, 15432, 20581, 25732, 30885?" }, { "from": "gpt", "value": "w**2 + 5142*w - 3" } ]
[ { "from": "human", "value": "What is 109466 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "331" } ]
[ { "from": "human", "value": "Let p(f) = -f**3 + 7*f**2 + 10*f - 11. Let q be p(8). Solve 0 = q*g + 5*a + 15, 0 = 5*g + 4*a - 2*a + 18 for g." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "How many minutes are there between 8:01 AM and 9:42 AM?" }, { "from": "gpt", "value": "101" } ]
[ { "from": "human", "value": "What is the nearest to 1 in 5/6, -1, -128?" }, { "from": "gpt", "value": "5/6" } ]
[ { "from": "human", "value": "What is prob of picking 1 j, 1 z and 2 e when four letters picked without replacement from {j: 3, z: 13, e: 4}?" }, { "from": "gpt", "value": "78/1615" } ]
[ { "from": "human", "value": "Let x = 1351036/26319 + 2/8773. Let k = 52 - x. Let f = 0.1 + -0.6. Which is the nearest to -1? (a) k (b) 1 (c) f" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is next in -196, -386, -576, -766, -956, -1146?" }, { "from": "gpt", "value": "-1336" } ]
[ { "from": "human", "value": "Calculate 1*-117." }, { "from": "gpt", "value": "-117" } ]
[ { "from": "human", "value": "Let m = -1 + 3. Let i(w) = -2*w**3 - 1. Let c be i(-1). What is the derivative of c + 0 - m + b**3 wrt b?" }, { "from": "gpt", "value": "3*b**2" } ]
[ { "from": "human", "value": "Which is bigger: 1 or -139/535?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let o(x) = -x**2 + 7*x + 3. Let s be o(7). Let f(u) = 2*u**s - u**2 - 5*u - u + 2 + 0*u. Let t be f(4). Calculate the greatest common factor of 10 and t." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let g(f) be the second derivative of -1/240*f**5 + 1/720*f**6 + 2*f + 0 - 1/6*f**3 + 0*f**2 + 0*f**4. Let x(v) be the second derivative of g(v). Factor x(q)." }, { "from": "gpt", "value": "q*(q - 1)/2" } ]
[ { "from": "human", "value": "In base 3, what is 1 + 2002?" }, { "from": "gpt", "value": "2010" } ]
[ { "from": "human", "value": "What is (2/7*1)/(940/(-329))?" }, { "from": "gpt", "value": "-1/10" } ]
[ { "from": "human", "value": "What is the o'th term of 271, 323, 375, 427, 479?" }, { "from": "gpt", "value": "52*o + 219" } ]
[ { "from": "human", "value": "What is the product of 2 and 498.5?" }, { "from": "gpt", "value": "997" } ]
[ { "from": "human", "value": "Let s be 2/(-3) - ((-5)/3 - 4). Factor -2/5*x**3 + 2/5*x**s + 2/5*x**4 - 2/5*x**2 + 0*x + 0." }, { "from": "gpt", "value": "2*x**2*(x - 1)*(x + 1)**2/5" } ]
[ { "from": "human", "value": "Which is smaller: 416 or 415?" }, { "from": "gpt", "value": "415" } ]
[ { "from": "human", "value": "-0.1 * 0.79" }, { "from": "gpt", "value": "-0.079" } ]
[ { "from": "human", "value": "Work out -10 * -119326." }, { "from": "gpt", "value": "1193260" } ]
[ { "from": "human", "value": "What is the second derivative of 3*k**3*o**3 - 4*k**3*o*t**3 - 5*k**3*o*t**2 - 3*k**3*t**3 + 10*o**2*t**3 + t wrt o?" }, { "from": "gpt", "value": "18*k**3*o + 20*t**3" } ]
[ { "from": "human", "value": "What is the d'th term of 15, 22, 29, 36?" }, { "from": "gpt", "value": "7*d + 8" } ]
[ { "from": "human", "value": "What is the remainder when 54 is divided by 39?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Let s be (-1005)/75 + 4/10. Let l = 14 + s. Is l not equal to -1/3?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "How many milliseconds are there in 53/4 of a second?" }, { "from": "gpt", "value": "13250" } ]
[ { "from": "human", "value": "What is the z'th term of 16, 33, 54, 79, 108, 141?" }, { "from": "gpt", "value": "2*z**2 + 11*z + 3" } ]
[ { "from": "human", "value": "List the prime factors of 34846." }, { "from": "gpt", "value": "2, 7, 19, 131" } ]
[ { "from": "human", "value": "Let f = 0.12 + 0.18. Suppose 0 = -5*o - 1 + 21, -3*m = -4*o + 4. Let w = -3.5 + 3.4. What is the closest to -1/3 in w, m, f?" }, { "from": "gpt", "value": "w" } ]
[ { "from": "human", "value": "Solve 0 = -3*f + 8*f - 10 for f." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -74 (b) -5/2 (c) -1 (d) -6/7" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Solve 42*l + 7590 = -121*l - 2*l for l." }, { "from": "gpt", "value": "-46" } ]
[ { "from": "human", "value": "Suppose 5*h - 2*r - 21 = 28, 4*r - 37 = -5*h. Solve h = -2*f + 5 for f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the remainder when 285 is divided by (0 - -9)*1 + 0?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "In base 5, what is -2 + -1011?" }, { "from": "gpt", "value": "-1013" } ]
[ { "from": "human", "value": "Suppose -4*z = -3*z - 46. Suppose z = -m - m. Let x be m/(-7) - (-4)/(-14). Solve -x*p - 8 = -p for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is -11 - 378654?" }, { "from": "gpt", "value": "-378665" } ]
[ { "from": "human", "value": "What is 140 take away 3989049.663?" }, { "from": "gpt", "value": "-3988909.663" } ]
[ { "from": "human", "value": "What is the remainder when 581 is divided by 235?" }, { "from": "gpt", "value": "111" } ]
[ { "from": "human", "value": "What is next in 150, 114, 78, 42, 6, -30?" }, { "from": "gpt", "value": "-66" } ]
[ { "from": "human", "value": "What is -36 (base 15) in base 4?" }, { "from": "gpt", "value": "-303" } ]
[ { "from": "human", "value": "Let z = -82.4 + 75. Let h = z + 7. What is the nearest to 3 in 0.3, h, -1/5?" }, { "from": "gpt", "value": "0.3" } ]
[ { "from": "human", "value": "Solve 0 = -v - 5*j + 1936 - 1944, 2*v = -5*j - 6 for v." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 712 and 206." }, { "from": "gpt", "value": "73336" } ]
[ { "from": "human", "value": "Let t = 26 - 18. Suppose 2*h = -i - 0*h + 60, -t = -2*h. Is 12 a factor of i?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Four letters picked without replacement from nnnnnnnncrcccggc. What is prob of picking 1 g, 1 r and 2 n?" }, { "from": "gpt", "value": "2/65" } ]
[ { "from": "human", "value": "Find the second derivative of -371136301*k*u**3 + 4*k*u - 2*k - 11*u + 77124 wrt u." }, { "from": "gpt", "value": "-2226817806*k*u" } ]
[ { "from": "human", "value": "What is the m'th term of 3145, 3150, 3155, 3160, 3165, 3170?" }, { "from": "gpt", "value": "5*m + 3140" } ]
[ { "from": "human", "value": "Solve 55 = -40*z - 105 for z." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Work out -882 - -15." }, { "from": "gpt", "value": "-867" } ]
[ { "from": "human", "value": "Let m be 2/9 + (-64)/(-36). Suppose 5*f + m*a - 120 = 0, 2*f + 3*a - 19 = 29. What is the greatest common divisor of 6 and f?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the next term in 511, 1026, 1543, 2062, 2583, 3106, 3631?" }, { "from": "gpt", "value": "4158" } ]
[ { "from": "human", "value": "Let v = 0.3 + -0.2. Let r = -22.9 + 22. Let t = v - r. Which is the closest to t? (a) 3 (b) -2 (c) -2/13" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Which is the closest to -0.2? (a) 4/3 (b) -3 (c) 11 (d) -1" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Determine z, given that -2*z**5/5 - 182*z**4 + 3662*z**3/5 - 4586*z**2/5 + 1836*z/5 = 0." }, { "from": "gpt", "value": "-459, 0, 1, 2" } ]
[ { "from": "human", "value": "Solve -915*r + 894*r = 147 for r." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "What is g in 3*g**4 + 234*g**3 + 4563*g**2 = 0?" }, { "from": "gpt", "value": "-39, 0" } ]
[ { "from": "human", "value": "Let l(r) = 4 - 7 + 2. Let q(g) be the second derivative of -g**5/20 - 3*g**2/2 + g. What is -3*l(k) + q(k)?" }, { "from": "gpt", "value": "-k**3" } ]
[ { "from": "human", "value": "Let z be 30/12*(-12)/(-10). Let s = 43 - 43. Let g be 1 + s + (-15)/10. Which is the third smallest value? (a) 37 (b) g (c) z" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose -168*w + 171*w = 27717. Is w a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -12*q + 11*q - 3*r + 14 = 0, 0 = q + r - 4 for q." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 605.4984 months in millennia?" }, { "from": "gpt", "value": "0.0504582" } ]
[ { "from": "human", "value": "Find the second derivative of -322*f**5*t - 2*f**2*t**2 - 100*f*t - 2*f - 10*t**2 wrt f." }, { "from": "gpt", "value": "-6440*f**3*t - 4*t**2" } ]
[ { "from": "human", "value": "Suppose -2*o - 32 = -4*i, 3*i = o - 7 + 32. Calculate the remainder when 24 is divided by i." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let o(x) = 0 - 1510*x + 261*x - 2. Suppose 4*w = 3*h - 0*h + 8, -6 = -3*w - 3*h. Let f be o(w). What is f rounded to the nearest one thousand?" }, { "from": "gpt", "value": "-3000.0" } ]
[ { "from": "human", "value": "-3 - (8 - (-5 - -9))" }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Find the common denominator of 31/6048 and -131/10080." }, { "from": "gpt", "value": "30240" } ]
[ { "from": "human", "value": "What is the j'th term of -3, -21, -67, -147, -267, -433, -651?" }, { "from": "gpt", "value": "-j**3 - 8*j**2 + 13*j - 7" } ]
[ { "from": "human", "value": "-393*0.1" }, { "from": "gpt", "value": "-39.3" } ]
[ { "from": "human", "value": "Simplify (k**(-4)*k**(-1/5))/(k/k**(-1/4))**(-47) assuming k is positive." }, { "from": "gpt", "value": "k**(1091/20)" } ]
[ { "from": "human", "value": "Determine i, given that -2*i**5/11 + 38*i**4/11 - 98*i**3/11 + 26*i**2/11 + 100*i/11 - 64/11 = 0." }, { "from": "gpt", "value": "-1, 1, 2, 16" } ]
[ { "from": "human", "value": "Is 221 a factor of 8398?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Find the second derivative of -93*q**3*z**4 - q**3*z + 66*q**2*z + 2*q*z**5 wrt z." }, { "from": "gpt", "value": "-1116*q**3*z**2 + 40*q*z**3" } ]
[ { "from": "human", "value": "Calculate the remainder when 2519 is divided by 15." }, { "from": "gpt", "value": "14" } ]