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math

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[ { "from": "human", "value": "Is 18732035041 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Simplify (1*sqrt(228)*-4)/sqrt(12)." }, { "from": "gpt", "value": "-4*sqrt(19)" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 938 and 14." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Let k = 4 - 5. Let x = 71 + -47. Suppose -j = 5, -4*h = -2*h - 4*j - x. Is k at least as big as h?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Convert -7 (base 10) to base 11." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Is 21 bigger than 26?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 8*c - 11*c - 5 = 2*y, 5*c - 5*y = 50 for c." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the value of (-2)/1*(-1)/3?" }, { "from": "gpt", "value": "2/3" } ]
[ { "from": "human", "value": "Express -14*s - 28*s - 29*s in the form d*s + i and give d." }, { "from": "gpt", "value": "-71" } ]
[ { "from": "human", "value": "Round 200.5253 to 0 decimal places." }, { "from": "gpt", "value": "201.0" } ]
[ { "from": "human", "value": "Divide -602 by 6." }, { "from": "gpt", "value": "-301/3" } ]
[ { "from": "human", "value": "Let s(m) be the first derivative of 0*m**2 + 2 - 1/2*m + 1/6*m**3. Factor s(i)." }, { "from": "gpt", "value": "(i - 1)*(i + 1)/2" } ]
[ { "from": "human", "value": "Suppose -2*o + 22 + 40 = 0. Suppose -141 = -4*v + 115. Suppose v = 5*z - o. What is the tens digit of z?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -4*u + 5*s + 117 = -u, 2*u + 4*s - 56 = 0. What is the units digit of u?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the next term in 219, 441, 663, 885, 1107?" }, { "from": "gpt", "value": "1329" } ]
[ { "from": "human", "value": "What comes next: -3, 85, 243, 477, 793, 1197, 1695, 2293?" }, { "from": "gpt", "value": "2997" } ]
[ { "from": "human", "value": "What is the a'th term of 10870, 10873, 10878, 10885, 10894, 10905, 10918?" }, { "from": "gpt", "value": "a**2 + 10869" } ]
[ { "from": "human", "value": "Simplify 1 + ((sqrt(5)*1*-1)**2 - (sqrt(720) + (sqrt(720) - (sqrt(720) + sqrt(720) + -1)) + sqrt(5)))." }, { "from": "gpt", "value": "5 - sqrt(5)" } ]
[ { "from": "human", "value": "Solve 0 = -u + 2 - 6 for u." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Sum -58.3 and -330." }, { "from": "gpt", "value": "-388.3" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -3 (b) 17 (c) 5" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Add -1061 and 0.268." }, { "from": "gpt", "value": "-1060.732" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 94 and 72850?" }, { "from": "gpt", "value": "94" } ]
[ { "from": "human", "value": "Expand (-60*t**3 + 29*t**3 + 28*t**3 - 5*t**2)*(-t**2 - t**2 + t**2)." }, { "from": "gpt", "value": "3*t**5 + 5*t**4" } ]
[ { "from": "human", "value": "What is next in 20, -8, -46, -88, -128, -160, -178, -176?" }, { "from": "gpt", "value": "-148" } ]
[ { "from": "human", "value": "Calculate (-103)/35020*40*1/((-1)/(-1))." }, { "from": "gpt", "value": "-2/17" } ]
[ { "from": "human", "value": "What are the prime factors of 473852?" }, { "from": "gpt", "value": "2, 118463" } ]
[ { "from": "human", "value": "Evaluate ((7/3)/(-7))/1." }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "What is the value of 1*(-28)/(-70)*(-2)/4?" }, { "from": "gpt", "value": "-1/5" } ]
[ { "from": "human", "value": "Evaluate 36/(-10) - 7/((-105)/(-6))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let n = -82 - -86. Is n a multiple of 4?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let p = 39 + -32. Suppose 0 + 35 = 5*j. Calculate the greatest common divisor of j and p." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Put 283, 7, 2, -3 in increasing order." }, { "from": "gpt", "value": "-3, 2, 7, 283" } ]
[ { "from": "human", "value": "Calculate the lowest common multiple of 51 and 10." }, { "from": "gpt", "value": "510" } ]
[ { "from": "human", "value": "Find n such that n**2/4 + n - 3 = 0." }, { "from": "gpt", "value": "-6, 2" } ]
[ { "from": "human", "value": "Solve -6*c + 2*c - 24 = -4*q, 5*c - 2*q + 24 = 0 for c." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Factor 3*k**4/5 + 12*k**3/5 - 81*k**2/5 + 114*k/5 - 48/5." }, { "from": "gpt", "value": "3*(k - 2)*(k - 1)**2*(k + 8)/5" } ]
[ { "from": "human", "value": "Suppose 0 = 2*i - 8, -4*p + 6*i = 2*i - 756. What is the tens digit of p?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Let k(d) = d**3 - 2*d**2 + 25*d + 54. Calculate the remainder when 247 is divided by k(0)." }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "What is the first derivative of 3*b**3 + 0*b**3 + 8 + 0 + 0 wrt b?" }, { "from": "gpt", "value": "9*b**2" } ]
[ { "from": "human", "value": "Find the third derivative of 14*c**6 - 5*c**5*l**3 - 3*c**2*l**2 + 2*c**2 - 32*l**3 wrt c." }, { "from": "gpt", "value": "1680*c**3 - 300*c**2*l**3" } ]
[ { "from": "human", "value": "Simplify sqrt(76)*-1*-3 + 1." }, { "from": "gpt", "value": "1 + 6*sqrt(19)" } ]
[ { "from": "human", "value": "Simplify (d/d**(-3))/d*d*d*d*d**(-11/5) assuming d is positive." }, { "from": "gpt", "value": "d**(19/5)" } ]
[ { "from": "human", "value": "Let x(s) = 19*s**2 + 7. Let m(d) = -13*d**2 - 5. Let r(g) = -7*m(g) - 5*x(g). Let a(i) be the second derivative of i**3/6 - 10*i. Calculate r(a(j))." }, { "from": "gpt", "value": "-4*j**2" } ]
[ { "from": "human", "value": "In base 3, what is 1 - -2121000?" }, { "from": "gpt", "value": "2121001" } ]
[ { "from": "human", "value": "In base 3, what is -110 + -2101?" }, { "from": "gpt", "value": "-2211" } ]
[ { "from": "human", "value": "Work out 3654 * 5." }, { "from": "gpt", "value": "18270" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -5 (b) 0.2 (c) -2/5 (d) 0.1" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Let o(r) = -r**3 - 4*r**2 - 4*r. Is o(-3) prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let w(j) be the second derivative of -j**5/270 + j**3/27 - 5*j**2/2 + 9*j. Let l(u) be the first derivative of w(u). Factor l(g)." }, { "from": "gpt", "value": "-2*(g - 1)*(g + 1)/9" } ]
[ { "from": "human", "value": "What is the value of 5 + (1 + -3 - -2)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is the greatest common factor of 25 and 55?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let -5*p**2/3 + 20*p/3 + 25/3 = 0. What is p?" }, { "from": "gpt", "value": "-1, 5" } ]
[ { "from": "human", "value": "What is thirty-three fifths of a litre in millilitres?" }, { "from": "gpt", "value": "6600" } ]
[ { "from": "human", "value": "What is 40244 divided by -4?" }, { "from": "gpt", "value": "-10061" } ]
[ { "from": "human", "value": "Let n be (1 - -2) + (-19)/15*3. Let h be (-4 + 1)/((-6)/(-4)). Which is smaller: n or h?" }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "Put 2, 5, -4, 10 in descending order." }, { "from": "gpt", "value": "10, 5, 2, -4" } ]
[ { "from": "human", "value": "What is 37 + -35 + 1 + -4?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let i = -3.36 + -0.14. Let n = -2.7 + -0.3. Let r = n - i. Which is the second biggest value? (a) 3 (b) -0.1 (c) r" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Expand (-3 + 0 + 1 + 1 - 2 + 3 + (0 + 1 + 0)*(3 - 3 - 1) - 3 + 0 + 1 + 1 - 2 - 2)*(-1 + 2*i + 1)*(-2 - 2 + 5)." }, { "from": "gpt", "value": "-12*i" } ]
[ { "from": "human", "value": "Let b(y) be the third derivative of 0*y + 11/8*y**4 - 4*y**2 + 0 - 1/3*y**3. Is b(3) a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the distance between -5 and -7.94?" }, { "from": "gpt", "value": "2.94" } ]
[ { "from": "human", "value": "Evaluate 12 - ((14 - 2) + -5)." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let w = 5 - 12. Let r(u) = 9*u**2 + 7*u - 2. Let o(d) = 8*d**2 + 6*d - 2. Let t(s) = w*o(s) + 6*r(s). Find the first derivative of t(k) wrt k." }, { "from": "gpt", "value": "-4*k" } ]
[ { "from": "human", "value": "((-11)/11)/2*0" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Divide -9 by -67." }, { "from": "gpt", "value": "9/67" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -3/7 (b) 36 (c) 1/13 (d) 0.2" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Work out 3 * -1194." }, { "from": "gpt", "value": "-3582" } ]
[ { "from": "human", "value": "Three letters picked without replacement from sssvssvsssv. What is prob of sequence svs?" }, { "from": "gpt", "value": "28/165" } ]
[ { "from": "human", "value": "Let x(f) = 2*f. Let m = -3 - -4. Let q be x(m). Let d = 0.334 - 0.834. Which is the smallest value? (a) 1 (b) q (c) d" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Find the first derivative of 5 + 4*x**2 + 0 + 5 - 14*x**2 wrt x." }, { "from": "gpt", "value": "-20*x" } ]
[ { "from": "human", "value": "What comes next: 101, 104, 107, 110, 113?" }, { "from": "gpt", "value": "116" } ]
[ { "from": "human", "value": "Let j = 2 + -9. Let g = j - -6.7. Which is the nearest to -1? (a) 1/2 (b) 0 (c) g" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 33100323 (base 4) in base 10?" }, { "from": "gpt", "value": "62523" } ]
[ { "from": "human", "value": "Let b be 4 - (0 - 0 - 4). Let q(p) = p**3 - 9*p**2 + 8*p + 4. Let r be q(b). Solve 4*d - 5 = -d - a, 5*a = -r*d - 17 for d." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (k**1/k*k*k**(-3/4))/(k**(2/7))**(-35) assuming k is positive." }, { "from": "gpt", "value": "k**(41/4)" } ]
[ { "from": "human", "value": "Evaluate (-3*(-2)/(-6))/(1/(-5))." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Round -8.7716 to 1 decimal place." }, { "from": "gpt", "value": "-8.8" } ]
[ { "from": "human", "value": "What is the second derivative of 2387*m**2 - 1072*m wrt m?" }, { "from": "gpt", "value": "4774" } ]
[ { "from": "human", "value": "What is 292800 rounded to the nearest 10000?" }, { "from": "gpt", "value": "290000.0" } ]
[ { "from": "human", "value": "In base 2, what is 10101000 + -11?" }, { "from": "gpt", "value": "10100101" } ]
[ { "from": "human", "value": "Let z = 42 + -60. Let s = 11 + z. Let l = -8 - s. Put 1/5, -4, l in descending order." }, { "from": "gpt", "value": "1/5, l, -4" } ]
[ { "from": "human", "value": "Find the second derivative of 2590*u**2 - 7908*u." }, { "from": "gpt", "value": "5180" } ]
[ { "from": "human", "value": "Let y = 1 + -0.8. What is the smallest value in 4/5, 4, y?" }, { "from": "gpt", "value": "y" } ]
[ { "from": "human", "value": "What is the nearest to 39 in -1/4, 0.5, -46?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) -0.1 (b) 1/8 (c) -3 (d) 4/9 (e) 0" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Multiply 0.056 and 0." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Is -10/713 at least 1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate (-18)/(-27)*12/(-52)." }, { "from": "gpt", "value": "-2/13" } ]
[ { "from": "human", "value": "Let n = 6 - 1. Suppose -5*l = -3*p + 7, n*l + 3*p + 9 = -4. Do l and 1 have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort 34, -3, -2." }, { "from": "gpt", "value": "-3, -2, 34" } ]
[ { "from": "human", "value": "Is 6629562 a multiple of 582?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let 16*v**4/3 + 2*v**3 - 16*v**2/3 - 2*v = 0. Calculate v." }, { "from": "gpt", "value": "-1, -3/8, 0, 1" } ]
[ { "from": "human", "value": "Let r be (2/(-4))/(3/(-12)). Suppose v = -r*v + 12. What is the derivative of 6*w**2 - 6*w**2 + 2 + 3*w**v wrt w?" }, { "from": "gpt", "value": "12*w**3" } ]
[ { "from": "human", "value": "Simplify (u**15*u**(-3/5))/((u/(u/((u*u**8/u)/u)*u))/(u/u**29)) assuming u is positive." }, { "from": "gpt", "value": "u**(-98/5)" } ]
[ { "from": "human", "value": "Let g = 13 + -16. Let o be (-4)/g*(-6)/(-10). What is the smallest value in 3/2, 1, o?" }, { "from": "gpt", "value": "o" } ]
[ { "from": "human", "value": "Suppose -4*r = n - 3, 2*n - 19 - 23 = 4*r. Does 4 divide n?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose -6*z + 4 = -8*z. Put 1, 4, z in decreasing order." }, { "from": "gpt", "value": "4, 1, z" } ]
[ { "from": "human", "value": "What is the closest to -0.1 in -3/5, -6, 1, -23?" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "Calculate 759 divided by -3." }, { "from": "gpt", "value": "-253" } ]