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math

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[ { "from": "human", "value": "How many millilitres are there in 1/4 of a litre?" }, { "from": "gpt", "value": "250" } ]
[ { "from": "human", "value": "Which is bigger: -1 or 35/542?" }, { "from": "gpt", "value": "35/542" } ]
[ { "from": "human", "value": "Let i = -13 - -15. Let f be (-1)/2*(0 - 14). Solve -i*r = -f*r for r." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let v(c) = 3*c**3 - 10*c**2 - c. Let l(x) = 3*x**3 - 9*x**2. Let y(n) = 3*l(n) - 2*v(n). Suppose y(g) = 0. Calculate g." }, { "from": "gpt", "value": "0, 1/3, 2" } ]
[ { "from": "human", "value": "Round 0.000008261 to 6 decimal places." }, { "from": "gpt", "value": "8e-06" } ]
[ { "from": "human", "value": "Evaluate (1 - (-4 - -10) - 4) + 4." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the second biggest value in -4, -14, -0.66?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Simplify (q/q**(-1/6)*q*q**(3/2)/q)/(((q**6/q)/q)/((q/(((q*q**(-2/29))/q)/q))/q)) assuming q is positive." }, { "from": "gpt", "value": "q**(-23/87)" } ]
[ { "from": "human", "value": "What is next in 29, 152, 357, 644, 1013, 1464, 1997?" }, { "from": "gpt", "value": "2612" } ]
[ { "from": "human", "value": "Does 10 divide 333?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Calculate the remainder when 7597339 is divided by 418." }, { "from": "gpt", "value": "189" } ]
[ { "from": "human", "value": "Let i = -5.46 - -5.5. Which is the nearest to -1? (a) 1 (b) -3/7 (c) i" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose 20 = -5*a, 0 = -4*p + p - 5*a - 20. Solve p*v - 10 = 5*v for v." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Suppose -5*v + 15 = -0*v. Suppose 2 = v*t - 1. What is the units digit of (2 + t)*(-14)/(-3)?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let j = -5 + 35. Let z be 1/(j/14 + -2). Let m = z - 3. Is m a multiple of 2?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What are the prime factors of 38224?" }, { "from": "gpt", "value": "2, 2389" } ]
[ { "from": "human", "value": "Is 1580 != 1580?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the closest to 0? (a) 5 (b) 25 (c) 1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is 549 minutes before 4:32 PM?" }, { "from": "gpt", "value": "7:23 AM" } ]
[ { "from": "human", "value": "Is -3/628 less than 0?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let l = 1.3 + -0.3. Let q be 1 + 1 + 5/(-4). Let s = 2831/4 + -708. Which is the second biggest value? (a) s (b) q (c) l" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Is 8 a factor of 200?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let z be (10/6)/((-8)/(-24)). Suppose -4*q + 23 = c, -2*c + 28 = -c + 5*q. Solve -z*r = t - 21, -3 = -c*t - 0 for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let l(n) be the first derivative of n**5/5 + n**4/4 - n**3 - n**2/2 + 2*n - 74. Solve l(u) = 0 for u." }, { "from": "gpt", "value": "-2, -1, 1" } ]
[ { "from": "human", "value": "In base 7, what is 6 + 0?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Suppose 3*v + 2*v = -20. Sort 3, v, 1 in increasing order." }, { "from": "gpt", "value": "v, 1, 3" } ]
[ { "from": "human", "value": "Let r = 0.1 + -0.2. Suppose 0*i + 5*i = 0. Suppose i = -0*x + 3*x - 3. Is x smaller than r?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the value of 1 + -1 + 4 + 3 + -7?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let x = -7 + 10. Factor x*o - 2*o**2 + o - 2*o." }, { "from": "gpt", "value": "-2*o*(o - 1)" } ]
[ { "from": "human", "value": "What is 4/16*-2*4/(-5)?" }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "Calculate 0.4*0.65." }, { "from": "gpt", "value": "0.26" } ]
[ { "from": "human", "value": "Calculate -85*36." }, { "from": "gpt", "value": "-3060" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 1835 and 2." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let x(k) = -11 - 7 + k + 0 - 3*k. Let c be x(-9). Suppose 3/5*t**4 + 0*t + 0 - 3/5*t**3 + c*t**2 = 0. Calculate t." }, { "from": "gpt", "value": "0, 1" } ]
[ { "from": "human", "value": "Let q = -47 - -43. Which is the nearest to 0? (a) -0.3 (b) 3/4 (c) q" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Solve -a + 0*q + 5*q = 23, -5*q + 11 = 3*a for a." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 4*f = -4*t + 2*t + 56, 3*t - 68 = -5*f. Suppose -2*k + 5*l = -29, 0 = -k - 3*k - 4*l + f. Calculate the highest common divisor of k and 21." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "In base 6, what is -13204 + 1?" }, { "from": "gpt", "value": "-13203" } ]
[ { "from": "human", "value": "Let u = 148 + -152. What is the closest to -1 in 8, 4, u?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Evaluate 1*((-1)/(-5))/(13/(-65))." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate -500 divided by 2." }, { "from": "gpt", "value": "-250" } ]
[ { "from": "human", "value": "Simplify (3*(6*(0 + sqrt(13))*4 + -5))**2." }, { "from": "gpt", "value": "67617 - 2160*sqrt(13)" } ]
[ { "from": "human", "value": "Simplify (1*sqrt(1584)*5*6)**2." }, { "from": "gpt", "value": "1425600" } ]
[ { "from": "human", "value": "Solve -5*u = -2*a - 18, -3*u + 7*u + 4 = -3*a for u." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "72 divided by -4" }, { "from": "gpt", "value": "-18" } ]
[ { "from": "human", "value": "Evaluate 6 + (-19 - -5) + 9." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let q = -3 + 5. Let z = q + -4. Let l = -0.8 - 0.2. What is the closest to z in 2/5, l, -0.4?" }, { "from": "gpt", "value": "l" } ]
[ { "from": "human", "value": "Suppose 0 = 5*j - u - 15, -j - 5 = -4*u - 27. Which is the closest to j? (a) -5 (b) -1 (c) -0.3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let d(x) = x**2 - 3*x - 5. Let a(u) = 5*u**2 - 12*u - 21. Let c(s) = 2*a(s) - 9*d(s). Let y be c(-4). Calculate the highest common factor of 63 and y." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "-35 + 33 + 8 + 1 - 2" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Put together -0.051 and -2388." }, { "from": "gpt", "value": "-2388.051" } ]
[ { "from": "human", "value": "What is -0.2 - -269?" }, { "from": "gpt", "value": "268.8" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 27 (b) -1 (c) 0.5 (d) -2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Are 66 and 39 unequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 45405859 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Sort 4, 0, 1, -4 in decreasing order." }, { "from": "gpt", "value": "4, 1, 0, -4" } ]
[ { "from": "human", "value": "Let s be 2 - (4 + -1 + 1). Let x(q) = q**3 + 11*q - 6. Let i(n) = 1 - 2*n. Give s*x(p) - 11*i(p)." }, { "from": "gpt", "value": "1 - 2*p**3" } ]
[ { "from": "human", "value": "Calculate 120 divided by 5." }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "Is 2692 a multiple of 23?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Put together 54 and -20094.2." }, { "from": "gpt", "value": "-20040.2" } ]
[ { "from": "human", "value": "How many minutes are there between 5:20 PM and 5:24 PM?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 46486 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "216" } ]
[ { "from": "human", "value": "What is 12819 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "113" } ]
[ { "from": "human", "value": "Find the common denominator of -1/2112 and 103/2112." }, { "from": "gpt", "value": "2112" } ]
[ { "from": "human", "value": "Calculate (-1 - -3) + 0 + -8 - -2." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Let v be (5/(-4) + 1)*-3. Let b = 5319/13 - 409. Put b, 2/3, v in ascending order." }, { "from": "gpt", "value": "b, 2/3, v" } ]
[ { "from": "human", "value": "Solve -15 = 5*r - 5*a, 276*a + 9 = -r + 279*a for r." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Sort 3, -4, 564, 1." }, { "from": "gpt", "value": "-4, 1, 3, 564" } ]
[ { "from": "human", "value": "What is -155 less than -0.5?" }, { "from": "gpt", "value": "154.5" } ]
[ { "from": "human", "value": "What is the hundreds digit of 34511?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose -17*a = -28*a + 22. Suppose n = -2*m - a*n + 973, -m + 489 = -n. What are the prime factors of m?" }, { "from": "gpt", "value": "2, 61" } ]
[ { "from": "human", "value": "Calculate the remainder when 1958 is divided by 60." }, { "from": "gpt", "value": "38" } ]
[ { "from": "human", "value": "Let x(l) be the second derivative of -l**5/120 - l**4/6 - 4*l**3/3 + l**2/2 - 7*l. Let g(m) be the first derivative of x(m). Factor g(f)." }, { "from": "gpt", "value": "-(f + 4)**2/2" } ]
[ { "from": "human", "value": "Calculate the highest common divisor of 231 and 26411." }, { "from": "gpt", "value": "77" } ]
[ { "from": "human", "value": "Let u be 3 + (-2 - -3)*-1. Let j be (-4)/(-1)*1/u. Suppose 0*s - 14 = 3*p + 5*s, -8 = j*p + 3*s. Solve p*l = -3*l for l." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Does 117 divide 6233?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Do 2016172 and 2016173 have different values?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What are the prime factors of 98576?" }, { "from": "gpt", "value": "2, 61, 101" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 135 and 15822." }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Solve 4*t = -3*v - 6 - 1, 4*v + 4 = -4*t for t." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "(-2*(-10)/60)/((-1)/(-9))" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve -5*m - 10 = 5*s, s + 4*m + 145 = 140 for s." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate (-4)/8*4/(-10)." }, { "from": "gpt", "value": "1/5" } ]
[ { "from": "human", "value": "What is 63 minutes after 5:07 PM?" }, { "from": "gpt", "value": "6:10 PM" } ]
[ { "from": "human", "value": "Let g(a) = 10*a**3 - 2*a. Let z(u) = -11*u**3 + 3*u. Give -6*g(k) - 4*z(k)." }, { "from": "gpt", "value": "-16*k**3" } ]
[ { "from": "human", "value": "Put 34, 0, -3 in ascending order." }, { "from": "gpt", "value": "-3, 0, 34" } ]
[ { "from": "human", "value": "Simplify 1 + (5*(sqrt(17) + sqrt(51)/sqrt(3)))**2." }, { "from": "gpt", "value": "1701" } ]
[ { "from": "human", "value": "Let r = -2889 - -2894. Solve 2*p + o = 4*p + r, 5 = -o for p." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let v = -57146 - -100766. Suppose -w - 10910 = i + i, -4*i - v = 4*w. Round w to the nearest one thousand." }, { "from": "gpt", "value": "-11000.0" } ]
[ { "from": "human", "value": "Let h(c) = 2*c**2. Suppose 3*s = 15*s. Let m(i) be the first derivative of s*i + 1/2*i**2 + 4. Calculate h(m(t))." }, { "from": "gpt", "value": "2*t**2" } ]
[ { "from": "human", "value": "What is the hundreds digit of 2063?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the tens digit of 413?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Factor 2*u**4 - 14*u**3 - 2*u**2 + 14*u." }, { "from": "gpt", "value": "2*u*(u - 7)*(u - 1)*(u + 1)" } ]
[ { "from": "human", "value": "(1 - (-2 + -1 + 6)) + 2" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the next term in -37, -44, -57, -76, -101, -132, -169?" }, { "from": "gpt", "value": "-212" } ]
[ { "from": "human", "value": "Let u(g) be the first derivative of 3*g**5/25 - 9*g**4/20 + 3*g**3/5 - 3*g**2/10 + 19. Factor u(q)." }, { "from": "gpt", "value": "3*q*(q - 1)**3/5" } ]
[ { "from": "human", "value": "Let f(k) = -2*k**3 - 5*k**2 - 2*k + 4. Let g be 12/16 + (-74)/(-8). Suppose 2*q - 4 = -g. Let z be f(q). Solve -4 = -5*a - z for a." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Divide 10 by 2." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let s(a) = -a**3 - a**2 - a + 6. Let d be s(0). Suppose -2*t = -d*t + 60. Solve -5*m = 5 + t for m." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Evaluate 3/18 + 38/(-57)." }, { "from": "gpt", "value": "-1/2" } ]