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math

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[ { "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": "Suppose 26 = 2*q + 20. Solve -3*z = -g - 1, -2*z - 3*g = -q*z + 11 for z." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the next term in 67, 119, 197, 295, 407, 527?" }, { "from": "gpt", "value": "649" } ]
[ { "from": "human", "value": "Let h = 31.7 + -20. Let u = 36.3 + h. Let z = -48.000031 + u. What is z rounded to 5 dps?" }, { "from": "gpt", "value": "-3e-05" } ]
[ { "from": "human", "value": "Let d(g) = -3*g - 5. Let f(m) = 2*m**2 - 10*m + 6. Let c be f(5). Let l(h) = -3*h - 6. Let a(b) = c*d(b) - 5*l(b). Let j(n) = -19*n**2. Calculate a(j(q))." }, { "from": "gpt", "value": "57*q**2" } ]
[ { "from": "human", "value": "Let q(t) = -t**2 + 6*t - 4. Let a be q(7). Let n(w) = 4*w**2 + w - 4. Let j(o) = -21*o**2 - 5*o + 21. Let y be -2 + 0 + 0/(-2). Calculate a*n(b) + y*j(b)." }, { "from": "gpt", "value": "-2*b**2 - b + 2" } ]
[ { "from": "human", "value": "Is 1907 a multiple of 4?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the remainder when 26 is divided by 13." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is next in 318, 641, 962, 1281?" }, { "from": "gpt", "value": "1598" } ]
[ { "from": "human", "value": "Is -1 smaller than -84/241?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "How many nanograms are there in 31/5 of a microgram?" }, { "from": "gpt", "value": "6200" } ]
[ { "from": "human", "value": "What is 135 minutes before 3:20 PM?" }, { "from": "gpt", "value": "1:05 PM" } ]
[ { "from": "human", "value": "-1 * 889" }, { "from": "gpt", "value": "-889" } ]
[ { "from": "human", "value": "Is 1/3 not equal to 12375?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What comes next: -139, -140, -141, -142, -143, -144?" }, { "from": "gpt", "value": "-145" } ]
[ { "from": "human", "value": "What is the third biggest value in -3/35, -3/5, 1/3?" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "Let w = 17 + -13. Solve -5*s - 2*h = h - 21, -4*s + w = -4*h for s." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let b = 5 - 5. Let s be 1 + (1/9 - 0). Which is greater: b or s?" }, { "from": "gpt", "value": "s" } ]
[ { "from": "human", "value": "0 (base 8) to base 2" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let o = -93 + 134. Does 9 divide o?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 0 = 5*b - 4*l + 30, -4*b + 19 = -b + 5*l for b." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "In base 9, what is -23 - 13?" }, { "from": "gpt", "value": "-36" } ]
[ { "from": "human", "value": "Factor 3*v**2/4 - 293*v/4 + 97/2." }, { "from": "gpt", "value": "(v - 97)*(3*v - 2)/4" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 9 and 9." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let m(b) = 2*b**2 + 9*b - 44. Give m(4)." }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "Let k be (4 - 1) + 105/1. Suppose j + 4*l - 42 = 0, 4*j - k = -5*l + l. Solve v = 5*z + 20, 4*z + j = -v + 3*v for v." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate 159 + -154 - (11 - 1)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Solve 8 = -5*d - u, 0*u - 3*u + 4 = d for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Which is the closest to -0.2? (a) 0.4 (b) -2/9 (c) -13 (d) -3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let j = -3 + 5. Let s = -3 - -3. Suppose 0 = -f - s*f. Put -5, f, j in descending order." }, { "from": "gpt", "value": "j, f, -5" } ]
[ { "from": "human", "value": "What is the remainder when 2197 is divided by 90?" }, { "from": "gpt", "value": "37" } ]
[ { "from": "human", "value": "Let t(i) be the second derivative of i**5/20 - i**4/3 - 5*i**3/6 - 4*i**2 - 4*i. What are the prime factors of t(6)?" }, { "from": "gpt", "value": "2, 17" } ]
[ { "from": "human", "value": "Solve -14*a + a = 0 for a." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let u(x) = 3*x - 2. Let m be u(2). Let w be (-3)/12 - (-10)/8. Let q = m + w. What is the units digit of q?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let r(i) be the first derivative of 5 + 4/3*i**2 - 2/9*i**3 - 8/3*i. Factor r(x)." }, { "from": "gpt", "value": "-2*(x - 2)**2/3" } ]
[ { "from": "human", "value": "What is next in -100, -213, -344, -493?" }, { "from": "gpt", "value": "-660" } ]
[ { "from": "human", "value": "Suppose 9*v - 10*v + 16 = 0. Solve 0 = 5*c - 15, -2*n - 3*c - c = -v for n." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let x(u) = u**3 + 6*u**2 - 3*u - 2. Let t be x(-6). Solve -5*h = 3*p - 20, 2*h - p = -2*h + t for h." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Subtract 0.358 from 0.0039." }, { "from": "gpt", "value": "-0.3541" } ]
[ { "from": "human", "value": "What is the common denominator of 65/252 and 123/20?" }, { "from": "gpt", "value": "1260" } ]
[ { "from": "human", "value": "In base 2, what is 11 + -101100001?" }, { "from": "gpt", "value": "-101011110" } ]
[ { "from": "human", "value": "-5 + 0.03659" }, { "from": "gpt", "value": "-4.96341" } ]
[ { "from": "human", "value": "Solve i - 18 = 4*a, 102 - 82 = -2*a - 5*i for a." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the r'th term of -4, -28, -54, -82?" }, { "from": "gpt", "value": "-r**2 - 21*r + 18" } ]
[ { "from": "human", "value": "Calculate 10127 divided by 1." }, { "from": "gpt", "value": "10127" } ]
[ { "from": "human", "value": "What is the units digit of 723?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let a = 17 - 16.9. Which is greater: 0.9 or a?" }, { "from": "gpt", "value": "0.9" } ]
[ { "from": "human", "value": "Differentiate -2*m**2*p*z + 217*m**2*p + 2*m*p*z**2 - 137*m*p*z + 3*m*p wrt z." }, { "from": "gpt", "value": "-2*m**2*p + 4*m*p*z - 137*m*p" } ]
[ { "from": "human", "value": "Let p be 26/(-7) - (-6)/(-21). Let g(b) = b**2 + 4. What is the tens digit of g(p)?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (sqrt(78)/(4*sqrt(6)*-6 - sqrt(6)))**2." }, { "from": "gpt", "value": "13/625" } ]
[ { "from": "human", "value": "Let p = -84.0000109 - -84. Round p to 6 dps." }, { "from": "gpt", "value": "-1.1e-05" } ]
[ { "from": "human", "value": "Let i(m) = 4*m - 6. Let v be i(6). Let g be 33/(-27) - (-4)/v. What are the prime factors of (2 - g) + 1*8?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "What is next in -291, -584, -877, -1170?" }, { "from": "gpt", "value": "-1463" } ]
[ { "from": "human", "value": "What is the product of -0.29 and 14?" }, { "from": "gpt", "value": "-4.06" } ]
[ { "from": "human", "value": "-0.2024+3" }, { "from": "gpt", "value": "2.7976" } ]
[ { "from": "human", "value": "What is 5950 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Let y(t) = t**3 - 7*t**2 + 6*t + 7. Let g be y(6). Let p be 30/g + 2/(-7). What is the second derivative of -c - c**p - 2 + 2 wrt c?" }, { "from": "gpt", "value": "-12*c**2" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 7/100 (b) 272 (c) -14" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let b = -2 + 9. Let n(o) = -5*o**2 + 5*o + 3. Let a(m) = 7*m - 7 - 18*m + 10*m**2 + m**2. Let g(w) = b*n(w) + 3*a(w). Factor g(y)." }, { "from": "gpt", "value": "-2*y*(y - 1)" } ]
[ { "from": "human", "value": "Solve 38*v - 426 = -33*v for v." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Sort 2/9, -3, 1.1, -0.54, 1 in descending order." }, { "from": "gpt", "value": "1.1, 1, 2/9, -0.54, -3" } ]
[ { "from": "human", "value": "Solve 227*m - 42 = 221*m for m." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "What is the f'th term of 1667, 1663, 1659, 1655, 1651?" }, { "from": "gpt", "value": "1671 - 4*f" } ]
[ { "from": "human", "value": "What is the value of -6 + (0 - -5) + -5 - -10?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Solve 3*o + 1 = -11 for o." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let o = -6/13 + 49/78. Let n(s) be the second derivative of 1/60*s**5 + 0 + 1/6*s**3 - o*s**2 - 1/12*s**4 - s. Factor n(y)." }, { "from": "gpt", "value": "(y - 1)**3/3" } ]
[ { "from": "human", "value": "What is the second derivative of 3*c**2*u**3 + 4*c**2*u**2 - 5*c**2*u - u**3 - 2*u wrt u?" }, { "from": "gpt", "value": "18*c**2*u + 8*c**2 - 6*u" } ]
[ { "from": "human", "value": "Factor -5*o**3 - 30*o**2 - 55*o - 30." }, { "from": "gpt", "value": "-5*(o + 1)*(o + 2)*(o + 3)" } ]
[ { "from": "human", "value": "What is the highest common factor of 1872 and 231816?" }, { "from": "gpt", "value": "312" } ]
[ { "from": "human", "value": "In base 8, what is -531 - -14?" }, { "from": "gpt", "value": "-515" } ]
[ { "from": "human", "value": "Suppose 2*c = 2*j - 3*c - 31, -5*j + 10 = c. Suppose 0 = -3*a - 3*t, -j*a - 4*t = -7*t - 12. Solve 0 = -2*z - q + a, 0 = -3*z - 0*q - q + 2 for z." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 0 + 2 + -3 + -3?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Calculate the common denominator of 43/960 and -149/48." }, { "from": "gpt", "value": "960" } ]
[ { "from": "human", "value": "1 - -4 - (-5 - (0 - 5))" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve -5*w + 7*w = 0 for w." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose 3*f + 2*n = -2, 0*f + 5*n + 16 = -2*f. Solve f*z + 8 = -2*z for z." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "1/(-1*(-4)/(-20))" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is 6 - (10 + -6 + -1)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let p = 421 - 109. Let y = p + -206. Suppose 2*o = y - 32. Is o a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve -6*a + 5*a - 3 = 0, 5*o + 5*a = -35 for o." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "1/(-2)*12*(-6)/(-60)" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "Suppose -19 = -4*h - 3. Let d(a) = -5*a**2 + 6*a - 5. Let i(c) = 4*c**2 - 5*c + 4. Give h*i(x) + 3*d(x)." }, { "from": "gpt", "value": "x**2 - 2*x + 1" } ]
[ { "from": "human", "value": "Convert 849.3863g to tonnes." }, { "from": "gpt", "value": "0.0008493863" } ]
[ { "from": "human", "value": "Suppose -252*l - 25 = -247*l. Sort -3, 5, 7, l." }, { "from": "gpt", "value": "l, -3, 5, 7" } ]
[ { "from": "human", "value": "Calculate (-15)/(-12)*40/100." }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Calculate the remainder when 269 is divided by 44." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Sort -5, 0.5, 0.2, 5 in ascending order." }, { "from": "gpt", "value": "-5, 0.2, 0.5, 5" } ]
[ { "from": "human", "value": "What is the product of 441.34 and -3?" }, { "from": "gpt", "value": "-1324.02" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 154 and 88." }, { "from": "gpt", "value": "22" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 34713 and 1044?" }, { "from": "gpt", "value": "261" } ]
[ { "from": "human", "value": "Solve 2*w = 4 - 14, -a - 2*w = 7 for a." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let c(l) = -l**2 - 2*l - 7. Let x(k) = -k - 1. Let t(a) = c(a) - 5*x(a). Let h be t(3). Let p be -4*(h - 14/(-8)). Solve -2*j = 4*g + 6, -g = -j - 4 + p for j." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 0.2 times -338?" }, { "from": "gpt", "value": "-67.6" } ]
[ { "from": "human", "value": "Solve 296 = 7*y + 282 for y." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "How many micrometers are there in 392362.5m?" }, { "from": "gpt", "value": "392362500000" } ]
[ { "from": "human", "value": "Factor 215*m**3 - m**4 - 215*m - 89*m**2 + 210 - 116*m**2 + 6*m**4 - 10*m**4." }, { "from": "gpt", "value": "-5*(m - 42)*(m - 1)**2*(m + 1)" } ]
[ { "from": "human", "value": "Let n(u) be the first derivative of u**7/280 + u**4/12 - 5*u**3/3 + 3. Let c(r) be the third derivative of n(r). Find the first derivative of c(m) wrt m." }, { "from": "gpt", "value": "9*m**2" } ]
[ { "from": "human", "value": "Collect the terms in -4*a**2 - 2*a**2 + 9*a**2 + 0*a**2." }, { "from": "gpt", "value": "3*a**2" } ]
[ { "from": "human", "value": "What is 442 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Differentiate -4*b**3*k - 39*b**2*k - b*k**2 + 2603*k**2 with respect to b." }, { "from": "gpt", "value": "-12*b**2*k - 78*b*k - k**2" } ]