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[ { "from": "human", "value": "What is the product of -0.07998 and 0.4?" }, { "from": "gpt", "value": "-0.031992" } ]
[ { "from": "human", "value": "Let d = 9.7 - 9.8. What is the nearest to d in -2/11, 2, -21?" }, { "from": "gpt", "value": "-2/11" } ]
[ { "from": "human", "value": "Suppose 6*u = 41 + 49. Solve 5*y = -5 + u for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 13, what is -2 - -2?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What comes next: -903, -913, -937, -981, -1051?" }, { "from": "gpt", "value": "-1153" } ]
[ { "from": "human", "value": "Let d(l) = 2 - 9*l. Let o(v) = 10*v - 1. Let r(i) = -6*d(i) - 5*o(i). Differentiate r(y) wrt y." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose 4*s = 8, 0 = 3*u + 4*s - 7 - 7. Solve -l + u*l = 1 for l." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Add 6.441 and -0.18." }, { "from": "gpt", "value": "6.261" } ]
[ { "from": "human", "value": "Let z(c) = -17 + 15 - c - 4*c - 2*c. Let h(p) = 15*p + 4. What is 6*h(f) + 13*z(f)?" }, { "from": "gpt", "value": "-f - 2" } ]
[ { "from": "human", "value": "Let y be 20/(1 - -4) - 0. Let m(c) = c**3 - 9*c**2 + c - 2. Let z be m(9). Solve 2*q + z = -3*f, f - 5 - 2 = y*q for f." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is 244 to the power of 1/4, to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Express 3 + 0 + 1 - 7*q + 2*q**3 + 2*q**2 - 5 as i*q + l*q**3 + z*q**2 + h and give z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Work out 108588 + -0.5." }, { "from": "gpt", "value": "108587.5" } ]
[ { "from": "human", "value": "Suppose -4*j + 631 = -j - 2*i, 438 = 2*j + 3*i. Is j a multiple of 9?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the second smallest value in -33, 4, -0.5, -10?" }, { "from": "gpt", "value": "-10" } ]
[ { "from": "human", "value": "Suppose 66 = 2*r + 4*r. Calculate the highest common factor of 77 and r." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is 6 + -3 + (0 - -8) + -17?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Is 4830 a multiple of 16?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let w = -49 + 54. Suppose -w*z + 3*z = -108. What is the highest common divisor of z and 6?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is prob of picking 2 h when two letters picked without replacement from {h: 2, f: 1, k: 1, i: 1}?" }, { "from": "gpt", "value": "1/10" } ]
[ { "from": "human", "value": "Is 171799 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the y'th term of 19079, 19077, 19075, 19073?" }, { "from": "gpt", "value": "19081 - 2*y" } ]
[ { "from": "human", "value": "How many meters are there in 646010.7 millimeters?" }, { "from": "gpt", "value": "646.0107" } ]
[ { "from": "human", "value": "Suppose 2*r + r = 42. Let c = 24 - r. What is the remainder when 27 is divided by c?" }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the closest to -1 in 4, -0.1116, 3/5, -2?" }, { "from": "gpt", "value": "-0.1116" } ]
[ { "from": "human", "value": "Suppose 10 = -h + 24. List the prime factors of h." }, { "from": "gpt", "value": "2, 7" } ]
[ { "from": "human", "value": "Simplify (-4*sqrt(1053) + 5 + sqrt(1053))**2." }, { "from": "gpt", "value": "9502 - 270*sqrt(13)" } ]
[ { "from": "human", "value": "What is the k'th term of 2975, 5947, 8921, 11897, 14875?" }, { "from": "gpt", "value": "k**2 + 2969*k + 5" } ]
[ { "from": "human", "value": "What is 90 minutes after 3:20 PM?" }, { "from": "gpt", "value": "4:50 PM" } ]
[ { "from": "human", "value": "Calculate (0 - (-9)/(-12))/(273/(-56))." }, { "from": "gpt", "value": "2/13" } ]
[ { "from": "human", "value": "Let s(w) = w**3 + 4*w**2 + 4. Let m = -12 + 8. Let a be s(m). Solve -3*l - 5 = a for l." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Calculate 54 - -236." }, { "from": "gpt", "value": "290" } ]
[ { "from": "human", "value": "What is (-75)/30*12/(-165)?" }, { "from": "gpt", "value": "2/11" } ]
[ { "from": "human", "value": "What is the value of 10 + (-7 - (-3 + -3))?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let j(w) be the third derivative of 0*w - 1/360*w**6 + 1/24*w**4 + 0 - w**2 + 0*w**5 - 1/6*w**3. Let d(p) be the first derivative of j(p). Factor d(c)." }, { "from": "gpt", "value": "-(c - 1)*(c + 1)" } ]
[ { "from": "human", "value": "Let h(x) = -3*x**3 + 6*x**2 - 12*x - 36. Let d be h(-6). What is d rounded to the nearest 100?" }, { "from": "gpt", "value": "900.0" } ]
[ { "from": "human", "value": "Suppose -2*y + 20 = -4*q, -2*q - 11 = -3*y + 3. Let p(v) = -7*v**3 + 2*v**2 - 5. Let n(z) = -6*z**3 + 2*z**2 - 4. Let x(r) = q*p(r) + 5*n(r). Factor x(u)." }, { "from": "gpt", "value": "-2*u**2*(u - 1)" } ]
[ { "from": "human", "value": "Factor -2*f**2 - 50*f + 168." }, { "from": "gpt", "value": "-2*(f - 3)*(f + 28)" } ]
[ { "from": "human", "value": "What is the square root of 163490 to the nearest integer?" }, { "from": "gpt", "value": "404" } ]
[ { "from": "human", "value": "Suppose -103*o + 17 = -104*o + 4*r, 2*r = o + 9. Do -1/2123 and o have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Simplify 3*(-3 + sqrt(85)/sqrt(5))." }, { "from": "gpt", "value": "-9 + 3*sqrt(17)" } ]
[ { "from": "human", "value": "In base 5, what is -13304 - 1?" }, { "from": "gpt", "value": "-13310" } ]
[ { "from": "human", "value": "Sort -0.2, 348/7, 0.5, 9, 2/15 in descending order." }, { "from": "gpt", "value": "348/7, 9, 0.5, 2/15, -0.2" } ]
[ { "from": "human", "value": "Solve 19*f = -13233250 + 13233098 for f." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Suppose -5*z - 35 = -2*b, 5*b + 5*z = -0*z. Suppose 85 - b = 2*a. Calculate the greatest common factor of 16 and a." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let i be -800*(-58000)/(2 + -4). What is i rounded to the nearest 1000000?" }, { "from": "gpt", "value": "-23000000.0" } ]
[ { "from": "human", "value": "What is the next term in -550, -559, -572, -589?" }, { "from": "gpt", "value": "-610" } ]
[ { "from": "human", "value": "Solve -32*r + 15*r = -34 for r." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Express -g - 125 + 125 + 11*g**3 in the form h*g + l*g**2 + o*g**3 + i and give o." }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Let l(s) = s - 9. Let d be l(7). Let v be 8/12*(-27)/d. Let y(p) = -8*p**2 + v*p**2 - p + p. Let w(n) = 16*n. Determine y(w(x))." }, { "from": "gpt", "value": "256*x**2" } ]
[ { "from": "human", "value": "Evaluate 6 - (-2 - (5 + -7)) - -2." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Sort 2, -3/11, 3, -0.2, -1, -23.5 in increasing order." }, { "from": "gpt", "value": "-23.5, -1, -3/11, -0.2, 2, 3" } ]
[ { "from": "human", "value": "What is the next term in 653, 2615, 5885, 10463, 16349, 23543, 32045?" }, { "from": "gpt", "value": "41855" } ]
[ { "from": "human", "value": "Factor 3*c**5/4 - 3*c**3/4." }, { "from": "gpt", "value": "3*c**3*(c - 1)*(c + 1)/4" } ]
[ { "from": "human", "value": "2/(32/8)*0" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let x = 0.3 - -0.2. Let i = 0.05 - 0.06. Let s = i - -1.01. What is the closest to 1 in x, -0.1, s?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "What is the hundreds digit of 1479?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let r = -16 - -8. Let z be (r + 8)/(4/2). Let q(s) = -s - 12. Determine q(z)." }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "Let x = 0.37 + 0.03. Let j = 2.9 + -2.8. Which is the second biggest value? (a) j (b) 5/2 (c) x" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose 22*n - 524 = 20*n. Is 47 a factor of n?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Rearrange -3 - 20*m**2 + 30*m**2 - 21*m**2 + (-6*m + 5*m + 3*m)*(-2*m + 2*m - 2*m) to p*m**2 + x + z*m and give p." }, { "from": "gpt", "value": "-15" } ]
[ { "from": "human", "value": "What is the value of (-5*5/75)/(2/12)?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is -160 divided by 40?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve -7*c - 261 = -247 for c." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 4, what is -230 - -20?" }, { "from": "gpt", "value": "-210" } ]
[ { "from": "human", "value": "In base 13, what is -8b - 4?" }, { "from": "gpt", "value": "-92" } ]
[ { "from": "human", "value": "Solve -18 = 34*n - 31*n, -5*w - 5*n - 40 = 0 for w." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Calculate the remainder when 91 is divided by 77." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Let g(d) be the second derivative of 2*d**3/3 + 2*d**2 + 2*d. Let m be g(-4). Let p = -7 - m. What are the prime factors of p?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let x be 2 + (1 - (2 - 1)). Suppose i - x = -0. Let p(d) = -2*d + i*d + 2*d. Let q(n) = -2*n**2. Calculate p(q(y))." }, { "from": "gpt", "value": "-4*y**2" } ]
[ { "from": "human", "value": "Suppose 3*s - 760 = -2*s. Suppose 3*k + k = s. Suppose 4*z = q - 40, 0 = 2*q - 4*q + 4*z + 60. What is the remainder when k is divided by q?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Solve -134*y + 132*y = -4*k + 8, 3*k + 2*y = 6 for k." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (sqrt(85) + -2*sqrt(85)*4)/(sqrt(180)/sqrt(9))." }, { "from": "gpt", "value": "-7*sqrt(17)/2" } ]
[ { "from": "human", "value": "What is (24/18)/((-14)/(-6))?" }, { "from": "gpt", "value": "4/7" } ]
[ { "from": "human", "value": "What is the product of -0.0333 and -0.18?" }, { "from": "gpt", "value": "0.005994" } ]
[ { "from": "human", "value": "Let h(l) be the first derivative of l**4/4 + 10*l**3/3 + 5*l**2/2 + 21*l + 14. Suppose 7*d + 13 - 55 = 0. What is the remainder when h(-9) is divided by d?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "List the prime factors of 2190." }, { "from": "gpt", "value": "2, 3, 5, 73" } ]
[ { "from": "human", "value": "What is the value of 207/(-252) + (-25)/(-20)?" }, { "from": "gpt", "value": "3/7" } ]
[ { "from": "human", "value": "Let u(o) = o - 1. Let s be u(1). Let y(r) = r**3 - r**2 + r + 20. List the prime factors of y(s)." }, { "from": "gpt", "value": "2, 5" } ]
[ { "from": "human", "value": "Let x = -13 - -8. Let g(t) = -t**3 - 5*t**2 - 4*t - 1. List the prime factors of g(x)." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Calculate the remainder when 534865 is divided by 3450." }, { "from": "gpt", "value": "115" } ]
[ { "from": "human", "value": "-213 divided by -9" }, { "from": "gpt", "value": "71/3" } ]
[ { "from": "human", "value": "Calculate -1 + 6 + (-9 - -3) + 1." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Expand (3*c - 4*c - c)*(1 - 5 + 6)." }, { "from": "gpt", "value": "-4*c" } ]
[ { "from": "human", "value": "How many minutes are there between 12:44 PM and 4:53 PM?" }, { "from": "gpt", "value": "249" } ]
[ { "from": "human", "value": "What is the difference between -72153454 and 3?" }, { "from": "gpt", "value": "72153457" } ]
[ { "from": "human", "value": "Suppose -44 = -2*l - 5*q, l + 52 = 2*l - 5*q. Suppose -5*j = 7 - l. Suppose 4*p - 32 + 8 = 0. What is the smallest common multiple of j and p?" }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "Solve 11*v - 20*v + 18 = 0 for v." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the second smallest value in -0.2, 10, -3?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Solve 8*m - 13 = 10*m + 5*t, 4*t + 8 = -m for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "530*-0.3" }, { "from": "gpt", "value": "-159" } ]
[ { "from": "human", "value": "Solve -5*p = -3*s - 5 - 1, -p + 6 = -3*s for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Collect the terms in 3 - 1 - 29*p + 3." }, { "from": "gpt", "value": "5 - 29*p" } ]
[ { "from": "human", "value": "What is the o'th term of 245, 247, 249, 251, 253, 255?" }, { "from": "gpt", "value": "2*o + 243" } ]
[ { "from": "human", "value": "Simplify (-4*(1 + sqrt(3))*4)**2*-2." }, { "from": "gpt", "value": "-2048 - 1024*sqrt(3)" } ]
[ { "from": "human", "value": "Suppose 0 = 5*t + 4*k - 35, -4*t + 2*k = 4*k - 22. Suppose -2*o + 21 = 5*g, 3 = 2*g + t*g - 4*o. Let q = g - 6. Are -2 and q equal?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is 682 minutes before 3:54 AM?" }, { "from": "gpt", "value": "4:32 PM" } ]
[ { "from": "human", "value": "Calculate 152/(-532)*28/(-16)." }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Which is smaller: 8.62 or 0.1?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "Suppose g + 9 = 4*g. Let 9 - 9 - g*l**2 + 3*l**4 = 0. Calculate l." }, { "from": "gpt", "value": "-1, 0, 1" } ]