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math

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[ { "from": "human", "value": "Does 136 divide 2272?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the closest to -73? (a) -2/19 (b) 0 (c) 5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Simplify (s/(s/s**(7/3)))/s*s**(-4)*s**(-5)*s/s**2 assuming s is positive." }, { "from": "gpt", "value": "s**(-26/3)" } ]
[ { "from": "human", "value": "Suppose 0 = 5*f + y - 2*y - 264, -4 = -4*y. What are the prime factors of f?" }, { "from": "gpt", "value": "53" } ]
[ { "from": "human", "value": "Simplify (sqrt(950)*-1 + sqrt(950))/(sqrt(96)/sqrt(3))." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "354 divided by -118" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the second derivative of -14*z**2 - 42*z wrt z?" }, { "from": "gpt", "value": "-28" } ]
[ { "from": "human", "value": "150 divided by 6" }, { "from": "gpt", "value": "25" } ]
[ { "from": "human", "value": "Suppose 4*o = o + 36. Let u = o - 9. Solve u*k = -0*k - 9 for k." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose -3*k - 2*k = 3*s - 19, -5 = -k - s. Let p = 22 - k. Suppose 2*a = 8 + p. Is 4 a factor of a?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate 13 + -10 - (-2 - -8)." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let p(o) = o**3 - 5*o**2 + 4*o - 4. Let c be p(4). Let b(z) = z**3 - 2*z**3 + 2*z + 0*z**2 - 3*z**2. What is b(c)?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "What is the b'th term of -105, -215, -325, -435, -545?" }, { "from": "gpt", "value": "5 - 110*b" } ]
[ { "from": "human", "value": "Solve -24 = 13*p + 54 for p." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Let k = 0.17 - -1.23. Let s = k - 0.4. Let m = 3 - 2.5. What is the closest to s in -0.1, 3, m?" }, { "from": "gpt", "value": "m" } ]
[ { "from": "human", "value": "What is next in 389, 398, 395, 374, 329, 254?" }, { "from": "gpt", "value": "143" } ]
[ { "from": "human", "value": "Let p be (-14)/18 - (-4)/(-18). Let q = 1 - p. Suppose -30 = -q*t - t. What is the greatest common divisor of t and 5?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve 9*l = -3 - 6 for l." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "In base 5, what is -1 + -1414?" }, { "from": "gpt", "value": "-1420" } ]
[ { "from": "human", "value": "What are the prime factors of 8993?" }, { "from": "gpt", "value": "17, 23" } ]
[ { "from": "human", "value": "What is -0.2 less than 0.19?" }, { "from": "gpt", "value": "0.39" } ]
[ { "from": "human", "value": "Solve i - 3 = z, 30*z - 4*i = 33*z - 26 for z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let l(r) = 2*r - r - 2*r + 3*r. Let m(g) = 8*g. Determine m(l(h))." }, { "from": "gpt", "value": "16*h" } ]
[ { "from": "human", "value": "What is the fourth biggest value in 0.4, 5, -1.2, -2/23?" }, { "from": "gpt", "value": "-1.2" } ]
[ { "from": "human", "value": "Is 2165413 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the second derivative of 5*h**4 + 11*h**5 - 12*h + 0*h - 5*h**4 wrt h." }, { "from": "gpt", "value": "220*h**3" } ]
[ { "from": "human", "value": "Rearrange 58 + 82*b - 58 to q + z*b and give z." }, { "from": "gpt", "value": "82" } ]
[ { "from": "human", "value": "Calculate 3*-38." }, { "from": "gpt", "value": "-114" } ]
[ { "from": "human", "value": "Solve 2*n = -2*m + 10, -80*n = -3*m - 84*n + 18 for m." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "In base 2, what is -11010001 + -101111?" }, { "from": "gpt", "value": "-100000000" } ]
[ { "from": "human", "value": "Let m(a) be the second derivative of a**9/15120 - a**7/2520 - 5*a**4/12 + 2*a. Let i(l) be the third derivative of m(l). Factor i(q)." }, { "from": "gpt", "value": "q**2*(q - 1)*(q + 1)" } ]
[ { "from": "human", "value": "What is 76 take away 26265?" }, { "from": "gpt", "value": "-26189" } ]
[ { "from": "human", "value": "In base 15, what is -2e - 5?" }, { "from": "gpt", "value": "-34" } ]
[ { "from": "human", "value": "Let d be 4*(0 - 9/(-4)). Solve -i = -4 + d for i." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let w(c) = -c**2 - 2*c - c - 1 + 5. Let z be w(-3). Let h be z/12 + (-28)/(-6). Solve -5*f = -3*m - 3*f + 5, -h*m + 5*f = -10 for m." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is -73 times 0.04?" }, { "from": "gpt", "value": "-2.92" } ]
[ { "from": "human", "value": "Suppose -o = -3 + 1. Suppose -9*u + 0*u**o - 4*u**2 - u**2 - 3 - 4*u**2 - 3*u**3 = 0. Calculate u." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Subtract 29.56 from -0.3." }, { "from": "gpt", "value": "-29.86" } ]
[ { "from": "human", "value": "What is the a'th term of -215, -265, -315, -365, -415?" }, { "from": "gpt", "value": "-50*a - 165" } ]
[ { "from": "human", "value": "What is 2716 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "((-6)/6)/(6/72*4)" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "4 divided by 21" }, { "from": "gpt", "value": "4/21" } ]
[ { "from": "human", "value": "Let l = 17 + -11.3. Let c = l + -6. Let a = -1 + 1.5. What is the biggest value in c, a, -3/7?" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let s(w) = -7*w - 4. Let a be s(3). Let o be (375*a)/((-3)/32). Round o to the nearest 10000." }, { "from": "gpt", "value": "100000.0" } ]
[ { "from": "human", "value": "Let u be (-46)/6 + 2/3. Let f = 8 + -6. Suppose -10 = 3*r - 5*j, -f*r = -r + j + 6. Is r greater than or equal to u?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is next in 51, 121, 191?" }, { "from": "gpt", "value": "261" } ]
[ { "from": "human", "value": "Does -3/59 = -10?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is 394265231 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let m = -0.4 + -0.1. Let a = 1.3 + -1. Let v = a - 0.5. What is the closest to 1 in m, 0.1, v?" }, { "from": "gpt", "value": "0.1" } ]
[ { "from": "human", "value": "Let t be (-4 - 2)/((-3)/(-6))*-1. Solve -5*l + 4*w - t = 0, w - 4*w + 6 = -3*l for l." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the q'th term of 100, 91, 92, 109, 148, 215, 316, 457?" }, { "from": "gpt", "value": "q**3 - q**2 - 13*q + 113" } ]
[ { "from": "human", "value": "Let x = -28 + 28. Solve -y = -x*y + 3 for y." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the closest to -2 in 0.4, 4/3, -1/10, 2?" }, { "from": "gpt", "value": "-1/10" } ]
[ { "from": "human", "value": "What is the units digit of 10023?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What comes next: 33, 119, 337, 753, 1433, 2443?" }, { "from": "gpt", "value": "3849" } ]
[ { "from": "human", "value": "Let a = 46 - 21. Suppose 0 = 2*o - 3*j - 15, 0 = -4*j + 9*j + a. Let l = -1 - -4. Solve o*s + s = -i - 3, 4*s = -l*i - 11 for s." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "What is the a'th term of -349, -657, -925, -1147, -1317, -1429, -1477?" }, { "from": "gpt", "value": "a**3 + 14*a**2 - 357*a - 7" } ]
[ { "from": "human", "value": "Factor -15*g**2 + 1925*g." }, { "from": "gpt", "value": "-5*g*(3*g - 385)" } ]
[ { "from": "human", "value": "What is the derivative of 6*g - 6*g + g**4 - 5 + 5*g**4 wrt g?" }, { "from": "gpt", "value": "24*g**3" } ]
[ { "from": "human", "value": "In base 11, what is a - 5?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Sort 4, -4, -3, -10, 2 in increasing order." }, { "from": "gpt", "value": "-10, -4, -3, 2, 4" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 575 and 840850." }, { "from": "gpt", "value": "19339550" } ]
[ { "from": "human", "value": "Which is smaller: -76 or -73?" }, { "from": "gpt", "value": "-76" } ]
[ { "from": "human", "value": "Let n be (-5 - (2 + -3))*-3. Let u = 8 - n. Sort u, -3, 1." }, { "from": "gpt", "value": "u, -3, 1" } ]
[ { "from": "human", "value": "Let f be 0/2 + (-3)/4. Put 2, f, -0.2 in descending order." }, { "from": "gpt", "value": "2, -0.2, f" } ]
[ { "from": "human", "value": "Suppose -5*o - 35 = -15. Let g(j) = 3*j**3 + 4*j**2 - 3*j + 4. Let f(k) = 4*k**3 + 5*k**2 - 4*k + 5. Determine o*f(x) + 5*g(x)." }, { "from": "gpt", "value": "-x**3 + x" } ]
[ { "from": "human", "value": "Let h = -169 - -1181/7. What is the second biggest value in 0.5, h, 0.7?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "Let c be (-4)/10 - 27/(-5). Suppose -2*p = c*a - 30, 4*a - 4*p = -21 + 73. Suppose q - 3*q = -a. Solve -4*b + 0 = -q for b." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let o be 2*(-3)/(-2)*1. Let t be (-54)/3*(-10)/o. Let x = t + -42. Does 9 divide x?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "-4.5*-0.04" }, { "from": "gpt", "value": "0.18" } ]
[ { "from": "human", "value": "What are the prime factors of 6692?" }, { "from": "gpt", "value": "2, 7, 239" } ]
[ { "from": "human", "value": "Divide -153 by 9." }, { "from": "gpt", "value": "-17" } ]
[ { "from": "human", "value": "Sort -1, 2, -34, -11, 0 in descending order." }, { "from": "gpt", "value": "2, 0, -1, -11, -34" } ]
[ { "from": "human", "value": "Solve v = -4*f - 4, -2*f + v + v = -8 for f." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let n(k) = 1. Let m be (-4)/20 - (-14)/(-5). Let w(a) = 3*a + 3. Let v(u) = m*n(u) + w(u). Let s(x) be the first derivative of -x**3/3 - 1. Determine s(v(h))." }, { "from": "gpt", "value": "-9*h**2" } ]
[ { "from": "human", "value": "How many micrometers are there in 392362.5m?" }, { "from": "gpt", "value": "392362500000" } ]
[ { "from": "human", "value": "Let m = -4.2 - -0.2. Let h be 4 + -2 - 144/69. Let b = -61/92 + h. What is the closest to -2/5 in 1/5, m, b?" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let p = 12 - 6. Let k(h) = p - 3*h + 5*h**2 - 4*h**2 - 2*h**2 - h**3 + 5*h**2. Calculate k(4)." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Factor 2*f**2/7 - 124*f/7 + 1922/7." }, { "from": "gpt", "value": "2*(f - 31)**2/7" } ]
[ { "from": "human", "value": "Let z be (-1 + 3)*26 - 1. Let v = z - 26. Solve -5*m - 5 = -v for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -18 = 2*b + 4*t, -2*b + 7*b - t + 34 = 0. Let d = b + 19. Solve -d = 2*s - 4 for s." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let -3*c**2 - 105*c - 912 = 0. Calculate c." }, { "from": "gpt", "value": "-19, -16" } ]
[ { "from": "human", "value": "In base 11, what is 3 + -23a?" }, { "from": "gpt", "value": "-237" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 315 and 3843." }, { "from": "gpt", "value": "63" } ]
[ { "from": "human", "value": "What is the s'th term of 34, 121, 266, 469?" }, { "from": "gpt", "value": "29*s**2 + 5" } ]
[ { "from": "human", "value": "Is 222 at least -35?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let l = -1947 - -21401/11. Is -1 not equal to l?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate the smallest common multiple of 87 and 232." }, { "from": "gpt", "value": "696" } ]
[ { "from": "human", "value": "Let c(l) = 3*l - 11. Let n(v) = -v**3 - 5*v + 21. Let x(y) = -5*c(y) - 3*n(y). Differentiate x(t) with respect to t." }, { "from": "gpt", "value": "9*t**2" } ]
[ { "from": "human", "value": "Let x(o) = -o**2 + 9*o + 1. Let r be x(8). Solve 0 = p - 5*i - 24, 0*i + 2*i = p - r for p." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the common denominator of -7/13624 and 39/10?" }, { "from": "gpt", "value": "68120" } ]
[ { "from": "human", "value": "What is the sixth root of 51801 to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Sum 0.01 and 96.497." }, { "from": "gpt", "value": "96.507" } ]
[ { "from": "human", "value": "What is next in 897, 1780, 2665, 3552?" }, { "from": "gpt", "value": "4441" } ]
[ { "from": "human", "value": "Let l be 8/6 - 15/(-9). Let t(d) = -d**3 + 4*d**2 + 6*d - 1. Suppose -4*r = -2*r - 10. Let j be t(r). Solve 0 = l*k - 8 - j for k." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the third root of 2666 to the nearest integer?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Convert 73.2237l to millilitres." }, { "from": "gpt", "value": "73223.7" } ]
[ { "from": "human", "value": "Let t be (-4)/(-24) - -867*(-2)/36. Let v = t + 53. Let x be (-3)/(-12) + 6/8. Solve -21 = -v*b - x for b." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Factor 6*j**3 - 333*j**2/2 - 42*j." }, { "from": "gpt", "value": "3*j*(j - 28)*(4*j + 1)/2" } ]
[ { "from": "human", "value": "What comes next: 37, 30, -3, -74, -195, -378?" }, { "from": "gpt", "value": "-635" } ]