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math

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[ { "from": "human", "value": "What comes next: 162, 164, 168, 174, 182, 192, 204?" }, { "from": "gpt", "value": "218" } ]
[ { "from": "human", "value": "In base 6, what is -23 + -523?" }, { "from": "gpt", "value": "-550" } ]
[ { "from": "human", "value": "Let k = 3 - 0. Suppose b = -3*b - 3*z + 71, k*b + 5*z = 67. Suppose b = g - 0*g. Is 7 a factor of g?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Find the third derivative of -1433*k**6 - 955*k**2 wrt k." }, { "from": "gpt", "value": "-171960*k**3" } ]
[ { "from": "human", "value": "Calculate 37 divided by 37." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Calculate (-8)/6*15/10*1." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "List the prime factors of 15273." }, { "from": "gpt", "value": "3, 1697" } ]
[ { "from": "human", "value": "In base 16, what is -10 + -1a7?" }, { "from": "gpt", "value": "-1b7" } ]
[ { "from": "human", "value": "Calculate 0 + 3 - 1 - (-3 + 1)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let a = 17 + -17. What is the third derivative of 4*v**3 + 7*v**2 + a*v**3 - 5*v**3 wrt v?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let b = -866/3 + 285. Which is greater: -3 or b?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "In base 13, what is acb - -5?" }, { "from": "gpt", "value": "b03" } ]
[ { "from": "human", "value": "Simplify ((sqrt(2) - -5*sqrt(10)/sqrt(5)) + -6*sqrt(32))**2." }, { "from": "gpt", "value": "648" } ]
[ { "from": "human", "value": "Let f = -1/1446 + 23503/7953. Let l = 1839/11 + -31837/198. What is the common denominator of l and f?" }, { "from": "gpt", "value": "198" } ]
[ { "from": "human", "value": "Let r be (-30)/(-9) - 2/6. Suppose -5*j = 5*z + 120, -5*z - 132 = r*j - 22. Let p = -16 - z. Solve 3*x = x + p*f - 11, 5*f = 4*x + 17 for x." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let m(r) = r**2 - 10*r + 2. Let u(s) = s**2 - 9*s + 2. Let h(c) = -6*m(c) + 7*u(c). Is h(6) a multiple of 20?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "((-10)/35)/((-8)/112)" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "53 divided by -53" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is (-15)/(-10) + (-15)/2?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Solve 0 = -o - 4*n - 17, -n + 7 = 5*o - 3 for o." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -11 (b) 2 (c) -0.4 (d) -1/5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Evaluate (0 - -1 - (-13 - -9)) + -1." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let l = -324 - -326. Let v = -2 + 3. Which is the closest to v? (a) -2/7 (b) l (c) 5" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -y + 9 = w, 4*w - 5*w - 5*y = -13. Suppose -6 + 7 = -j. Calculate the least common multiple of 14 and ((-1)/(-2) + -3)/(j/w)." }, { "from": "gpt", "value": "140" } ]
[ { "from": "human", "value": "Let t(a) = a**3 - 15*a**2 + 15*a - 15. Let p be t(14). What is the units digit of (4/8)/(p/(-2))?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve -62*c + 63*c = 1 for c." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is next in 11, 21, 37, 59?" }, { "from": "gpt", "value": "87" } ]
[ { "from": "human", "value": "Determine k, given that 2*k**5/9 - 2*k**4 - 22*k**3/3 - 70*k**2/9 - 8*k/3 = 0." }, { "from": "gpt", "value": "-1, 0, 12" } ]
[ { "from": "human", "value": "Let u = 0.6 + -0.1. Let i = 9.4 - 6.4. Which is the nearest to -1? (a) i (b) -2/3 (c) u" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Is 17273 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Convert 74 (base 15) to base 9." }, { "from": "gpt", "value": "131" } ]
[ { "from": "human", "value": "Which is smaller: 3 or -4?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let d = 211 - 134. Does 11 divide d?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 2*f - 8 = -4*p + 8, 5*f = 3*p + 14. Suppose 48 = -f*j + 8*j. List the prime factors of j." }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Subtract -1433 from -33." }, { "from": "gpt", "value": "1400" } ]
[ { "from": "human", "value": "Suppose a + 3*f - 13 = 0, 17 - 49 = -5*a - 4*f. Solve -a*l + 5 - 1 = 0 for l." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the value of 10/(-8)*(10 + (-24 - -10))?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is 1 (base 4) in base 16?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 3, what is 11020211222212000 + -1?" }, { "from": "gpt", "value": "11020211222211222" } ]
[ { "from": "human", "value": "Is 3898 a multiple of 58?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the closest to 3? (a) -33 (b) -6/11 (c) -1" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose 2*q = 3*q. What is the units digit of (-1)/((q - -1) + -2)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let d = -16 + 19. Suppose 3*q = -4*y + 35 - d, 2*q - 40 = 2*y. What is the units digit of q?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose 0 = -3*b + 3 + 3. Let k = -41 - -43. Solve 0 = b*z + k*z for z." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Factor -20*g**4 + 56*g**3 + 4*g**2 - 72*g." }, { "from": "gpt", "value": "-4*g*(g - 2)*(g + 1)*(5*g - 9)" } ]
[ { "from": "human", "value": "What is (-8)/7 + 92/161?" }, { "from": "gpt", "value": "-4/7" } ]
[ { "from": "human", "value": "Evaluate -4 - -5 - (1 - -1)." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Divide -6670 by -3335." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let j = -1.6 + 4.6. Put 1/3, 0.3, j, 4 in ascending order." }, { "from": "gpt", "value": "0.3, 1/3, j, 4" } ]
[ { "from": "human", "value": "What comes next: 57, 240, 535, 936, 1437, 2032?" }, { "from": "gpt", "value": "2715" } ]
[ { "from": "human", "value": "In base 5, what is -24 + -3?" }, { "from": "gpt", "value": "-32" } ]
[ { "from": "human", "value": "Let y = -0.06 - 0.18. Let p = y + 0.21. What is the second biggest value in p, 2/3, 2/5?" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "In base 13, what is 595 - 3?" }, { "from": "gpt", "value": "592" } ]
[ { "from": "human", "value": "Suppose 6*u = 3*u - 18. Let j(b) = -4*b**2 + 7*b - 3 + 11 + 2*b**2 + b**3 + 9*b**2. Let y be j(u). Solve -5*f = 12 - y for f." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let t be 2*(0 + (0 - 1)). Let z = 3 + 11. Suppose -6 = -4*q + z. What is the nearest to t in -2, -1, q?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the lowest common multiple of 8762 and 8?" }, { "from": "gpt", "value": "35048" } ]
[ { "from": "human", "value": "Let i(h) = 13*h - 2. What is the hundreds digit of i(15)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "145 (base 9) to base 11" }, { "from": "gpt", "value": "101" } ]
[ { "from": "human", "value": "Suppose 5*i + 3*r + 27 = 0, 3*r + 21 = -3*i - 0*i. Do i and 1 have different values?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-0.0419 - 0.057" }, { "from": "gpt", "value": "-0.0989" } ]
[ { "from": "human", "value": "What is the value of -1 + (-1 - 0) + -3 + 1?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve 0 = -197*b + 205*b + 56 for b." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let m be -2 - 3*15/(-9). Let d(a) be the first derivative of -a - 5/4*a**2 + 2 - 1/3*a**m. Factor d(f)." }, { "from": "gpt", "value": "-(f + 2)*(2*f + 1)/2" } ]
[ { "from": "human", "value": "How many minutes are there between 9:50 AM and 8:06 PM?" }, { "from": "gpt", "value": "616" } ]
[ { "from": "human", "value": "Sort 0.5, 50/61, -0.06." }, { "from": "gpt", "value": "-0.06, 0.5, 50/61" } ]
[ { "from": "human", "value": "Suppose -121 = -4*i + 31. What is the highest common divisor of i and 19?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Let v(k) = k**2 - 17. Let s be v(5). Solve 2*u = 6*u + s for u." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let l(v) = 10 - v. Let q be l(9). Let g = -1/2 + q. Which is the third smallest value? (a) 2 (b) 1 (c) g" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "14 divided by 7" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the square root of 70081 to the nearest integer?" }, { "from": "gpt", "value": "265" } ]
[ { "from": "human", "value": "(8/6)/((-110)/330)" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Sort 5010, 3, 0, -3, 2, 1 in descending order." }, { "from": "gpt", "value": "5010, 3, 2, 1, 0, -3" } ]
[ { "from": "human", "value": "What is (21/(4 + 3))/((-6)/8)?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose 5*g - 9 = 11. Suppose 0 = -g*n + 3*n + 5. Let j = n - -2. Does 3 divide j?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "How many minutes are there between 6:04 AM and 12:10 PM?" }, { "from": "gpt", "value": "366" } ]
[ { "from": "human", "value": "What is the nearest to 0 in 3/5, 2, -6?" }, { "from": "gpt", "value": "3/5" } ]
[ { "from": "human", "value": "Let d be 1/(-2)*-1 + -1. Let r = -634 + 637. Let q = -2.9 - -3. Which is the closest to q? (a) d (b) r (c) 6/11" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Calculate the common denominator of 63/22 and 31/66." }, { "from": "gpt", "value": "66" } ]
[ { "from": "human", "value": "What is the nearest to -0.2 in -3, 0.1, 87, 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose -96*g + 103*g = -35. Which is the third biggest value? (a) g (b) -1/7 (c) 5 (d) 8" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Calculate (-1)/9 + (-60)/(-54) + -4." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 5*i - 3 = 2, 4*y = 4*i - 8. Let n = -1 - y. Sort n, 2, -3 in ascending order." }, { "from": "gpt", "value": "-3, n, 2" } ]
[ { "from": "human", "value": "Calculate 4838 divided by 41." }, { "from": "gpt", "value": "118" } ]
[ { "from": "human", "value": "What comes next: 71, 139, 207?" }, { "from": "gpt", "value": "275" } ]
[ { "from": "human", "value": "Let w = 0.13 - 0.04. Let a = w - 4.09. What is the biggest value in -0.1, 4, a?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Express (0 + 5 - 3)*(2 + 2*z - 2) + (-2*z + z - z)*(6 + 1 + 16) in the form v + b*z and give b." }, { "from": "gpt", "value": "-42" } ]
[ { "from": "human", "value": "Solve -5*n = -3*i + 4 - 38, 4*n - 5*i - 35 = 0 for n." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Evaluate ((-36)/(-336)*8)/((-3)/(-14))." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate (-22)/8 + (-1)/4 - -5." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let u(o) = 104*o - 1. Let i be u(4). Suppose 5*a + 83 = r, i = 5*r - a - 2*a. Is r prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let j be (-2)/6*19*-3. Suppose 0*v + u + 13 = -2*v, v + j = -3*u. What is the second biggest value in v, 2, -3?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve 2*a - 3 = -3*d, -2*a + 4*a = -4*d + 6 for a." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve -5 = -j + 2*k, -j + 73*k = 75*k + 3 for j." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Factor -g**4/4 + 11*g**3/4 + 10*g**2 + 7*g." }, { "from": "gpt", "value": "-g*(g - 14)*(g + 1)*(g + 2)/4" } ]
[ { "from": "human", "value": "What are the prime factors of 1181?" }, { "from": "gpt", "value": "1181" } ]
[ { "from": "human", "value": "Evaluate 6 + 4*2/4." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the closest to -1 in -1, -5, -0.15, -0.3?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Solve 2*h = -2*t, 0 = -3*t + 2*h - 21 + 1 for t." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the g'th term of -1171, -1180, -1187, -1192, -1195?" }, { "from": "gpt", "value": "g**2 - 12*g - 1160" } ]
[ { "from": "human", "value": "Factor -4*o**3 + 20*o**2 - 12*o - 36." }, { "from": "gpt", "value": "-4*(o - 3)**2*(o + 1)" } ]