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[ { "from": "human", "value": "Suppose -5*t + 2*r + 6 = 0, -3*t - 3*r = -0*t + 9. Let q be (0/(-4))/(1 - t). Solve q*w + 4*w - 4 = 0 for w." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "3/(3*(-5)/20)" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is -4 + ((-14)/6)/(7/(-21))?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate 5*(-1)/1*2/4." }, { "from": "gpt", "value": "-5/2" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 0.04 (b) 4 (c) 0.2" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Suppose -4*m - 3 = 1. Let p be 73/(-56) + m/8. Do -1 and p have the same value?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Is -138 >= 0.4?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let m be (2/(20/14))/((-118)/(-590)). Solve 0 = -z - 5 + m for z." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Sort 4, 263, -1/2, 0, 3." }, { "from": "gpt", "value": "-1/2, 0, 3, 4, 263" } ]
[ { "from": "human", "value": "What is twenty-eight thirds of a day in hours?" }, { "from": "gpt", "value": "224" } ]
[ { "from": "human", "value": "Differentiate -69*s - 3 - 10 - 49 with respect to s." }, { "from": "gpt", "value": "-69" } ]
[ { "from": "human", "value": "Simplify (sqrt(176)*-1)**2 - 4*(sqrt(11) + sqrt(44)/sqrt(4))**2." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let z(g) be the first derivative of 4 - 16*g**2 + 80/3*g**3 + 0*g - 18*g**4 + 28/5*g**5 - 2/3*g**6. Factor z(h)." }, { "from": "gpt", "value": "-4*h*(h - 2)**3*(h - 1)" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 9425 and 260?" }, { "from": "gpt", "value": "65" } ]
[ { "from": "human", "value": "Let i be (-1)/2 + 49/70. Put 2/5, 1/8, i in increasing order." }, { "from": "gpt", "value": "1/8, i, 2/5" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) 2 (b) -3 (c) -2/3 (d) 30" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the third derivative of 26*q**6 - 3*q**6 - 12*q**6 + 11*q**2 - q**2 wrt q?" }, { "from": "gpt", "value": "1320*q**3" } ]
[ { "from": "human", "value": "Does 43 divide 38908?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Convert 28.70684us to nanoseconds." }, { "from": "gpt", "value": "28706.84" } ]
[ { "from": "human", "value": "Evaluate ((-7)/(-1))/(-210)*-4." }, { "from": "gpt", "value": "2/15" } ]
[ { "from": "human", "value": "Let p(w) = -w**2 - 6*w. Let n be p(-6). Suppose m - 4*m = -4*t - 22, n = -2*t - 5*m + 2. Which is the smallest value? (a) -5 (b) 5/3 (c) t" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let t(s) = -3*s**2. Let i(r) = 4*r**2 - 365*r + 365*r. Determine i(t(w))." }, { "from": "gpt", "value": "36*w**4" } ]
[ { "from": "human", "value": "Calculate -1*-300." }, { "from": "gpt", "value": "300" } ]
[ { "from": "human", "value": "What is 605 minutes before 1:47 AM?" }, { "from": "gpt", "value": "3:42 PM" } ]
[ { "from": "human", "value": "Which is greater: 609 or 612?" }, { "from": "gpt", "value": "612" } ]
[ { "from": "human", "value": "Let b be (-18)/63 + 12/(-7). Let m = b - -8. Find the third derivative of 6*n**3 - 4*n**4 - 3*n**2 - m*n**3 wrt n." }, { "from": "gpt", "value": "-96*n" } ]
[ { "from": "human", "value": "Calculate -1*1/(-4) + (-323)/76." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is the second smallest value in -4, -0.3, 39, -0.4, 4/5?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Let m(v) = v**3 - 7*v**2 + 4*v + 7. Let s be m(6). Let u = -4 - s. Factor -5*b - u + b**3 + 3 - 2*b**3 + 4*b**2." }, { "from": "gpt", "value": "-(b - 2)*(b - 1)**2" } ]
[ { "from": "human", "value": "What is -1*(-3 + (-28)/(-6))?" }, { "from": "gpt", "value": "-5/3" } ]
[ { "from": "human", "value": "In base 3, what is 12 - 1111?" }, { "from": "gpt", "value": "-1022" } ]
[ { "from": "human", "value": "Let h be ((-6)/6)/(-2 + -2). Let g = -0.1 + 1.1. Which is the closest to -0.1? (a) h (b) g (c) -0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let q(y) = 12*y**3 - 2*y**2 - 5*y - 1. Let o be q(-4). Let c(a) = 35*a**2 + 11*a + 6. Let d be c(-6). Let l = o + d. Is l prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let w = -0.01 - 0. Let x = 0.01 + w. Let d be -1 + 0 + (-4)/(-5). Which is the nearest to x? (a) -1 (b) -2/9 (c) d" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the closest to -2/7 in 0.1, -3/5, -506?" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "In base 12, what is 1 + -7b?" }, { "from": "gpt", "value": "-7a" } ]
[ { "from": "human", "value": "In base 4, what is 20210 + -2?" }, { "from": "gpt", "value": "20202" } ]
[ { "from": "human", "value": "Let u = 254 - 140. Let c = 114 - u. Solve -4*b - 1 + 17 = c for b." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -10 = -4*g - g. Let c = -8 + 11. Solve 4 = -g*a + c*a for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the sixth root of 2463 to the nearest integer?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let t be (56/12)/(2/6). Solve 3*z + 2*a + 1 + 4 = 0, 4*z - a + t = 0 for z." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the cube root of 452 to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Solve 6*c - 29*c = 0 for c." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is 7164 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "Determine k so that -84*k**3 + 492*k**2 + 885*k + 309 = 0." }, { "from": "gpt", "value": "-1, -1/2, 103/14" } ]
[ { "from": "human", "value": "In base 4, what is 330300 - -20?" }, { "from": "gpt", "value": "330320" } ]
[ { "from": "human", "value": "In base 10, what is 10 + 19?" }, { "from": "gpt", "value": "29" } ]
[ { "from": "human", "value": "Let n(x) = -7*x - 3. Let f = -134 - -80. Let m = -15 + 3. Let i be 40/(-18) + m/f. Let o(a) = 3*a + 1. Calculate i*n(g) - 5*o(g)." }, { "from": "gpt", "value": "1 - g" } ]
[ { "from": "human", "value": "Simplify ((-1*(sqrt(704) + 5))**2 - (-5*(-3 + sqrt(704) + sqrt(704) + sqrt(704)))**2)*4*-1*-3*-4." }, { "from": "gpt", "value": "7579008 - 176640*sqrt(11)" } ]
[ { "from": "human", "value": "In base 6, what is -402 + 11?" }, { "from": "gpt", "value": "-351" } ]
[ { "from": "human", "value": "Factor 5*y**2 - 885*y - 6440." }, { "from": "gpt", "value": "5*(y - 184)*(y + 7)" } ]
[ { "from": "human", "value": "What is -37 (base 16) in base 10?" }, { "from": "gpt", "value": "-55" } ]
[ { "from": "human", "value": "((0 + 0)/5)/((-4)/(-2))" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let w(a) be the second derivative of 3*a**5/110 - 7*a**4/66 + 5*a**3/33 - a**2/11 - 4*a. Determine l, given that w(l) = 0." }, { "from": "gpt", "value": "1/3, 1" } ]
[ { "from": "human", "value": "Let i(t) = t + 5. Let y(f) = -f**3 - f**2 + 3*f + 2. Let m be y(-3). Is 8 a factor of i(m)?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -4 = 4*u - 8*u for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -3*x = 3*x - 1092. Does 13 divide x?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 9501 a multiple of 7?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let y(w) = w**3 - 10*w**2 + w - 9. Let x be y(10). Suppose -3*g - 4*k - x = 0, 4*k - 2 - 6 = 0. Which is the nearest to 1? (a) -0.1 (b) -1 (c) g" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Determine u so that -3*u**4 - 126*u**3 - 105*u**2 + 738*u = 0." }, { "from": "gpt", "value": "-41, -3, 0, 2" } ]
[ { "from": "human", "value": "Calculate the common denominator of 41/24 and 29/82." }, { "from": "gpt", "value": "984" } ]
[ { "from": "human", "value": "Let x(q) = q**3 - 10*q**2 + 3*q - 3. What is x(10)?" }, { "from": "gpt", "value": "27" } ]
[ { "from": "human", "value": "Let a(g) = -13*g**2 - 5*g - 5. Let z(j) = 32*j**2 + 12*j + 12. What is -12*a(o) - 5*z(o)?" }, { "from": "gpt", "value": "-4*o**2" } ]
[ { "from": "human", "value": "Product of -1771 and -6." }, { "from": "gpt", "value": "10626" } ]
[ { "from": "human", "value": "Expand (0*c - 3*c + c)*(-2*c + 7*c - c - 4)." }, { "from": "gpt", "value": "-8*c**2 + 8*c" } ]
[ { "from": "human", "value": "Let u be -3 + 1*(1 + 2). Suppose -4*h = -4*a - h - 6, -4*h + 8 = u. Solve 4*w - 2*w + 2 = a for w." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Factor -2*i**2/3 - 116*i/3 + 118/3." }, { "from": "gpt", "value": "-2*(i - 1)*(i + 59)/3" } ]
[ { "from": "human", "value": "Let u be (-3)/(9/(-6)) + -2. Let y be (15 - u)/(-4 - -3). Let b be ((-2)/6)/(5/y). Solve -2*l + 9 - b = 0 for l." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is -9 divided by -23?" }, { "from": "gpt", "value": "9/23" } ]
[ { "from": "human", "value": "What is -1 plus -2.07?" }, { "from": "gpt", "value": "-3.07" } ]
[ { "from": "human", "value": "What is -156 (base 16) in base 14?" }, { "from": "gpt", "value": "-1a6" } ]
[ { "from": "human", "value": "What is the d'th term of -151, -310, -469, -628?" }, { "from": "gpt", "value": "8 - 159*d" } ]
[ { "from": "human", "value": "What is the units digit of 4/2 - (2 + -2)?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Suppose -28 = -3*f - f. Suppose 19 - f = g. Calculate the smallest common multiple of 2 and g." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "What is the units digit of 998?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "In base 3, what is 1 + 2002?" }, { "from": "gpt", "value": "2010" } ]
[ { "from": "human", "value": "Suppose 176 = 5*t - 3*t. Suppose -2*f + t = 2*f. Let h = f + -14. What are the prime factors of h?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the z'th term of 220, 216, 220, 238, 276?" }, { "from": "gpt", "value": "z**3 - 2*z**2 - 5*z + 226" } ]
[ { "from": "human", "value": "Let g = -0.1 + 0.2. Let s be 27/33 + (-2)/2. Which is the third biggest value? (a) -0.2 (b) s (c) g" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Evaluate (-20)/(-72) + -1 - (-12)/54." }, { "from": "gpt", "value": "-1/2" } ]
[ { "from": "human", "value": "Suppose -2 = -4*i + 10. Suppose -i*x + 16 = x. Suppose -2*q + 3 = -3. Solve -q*r - 11 = -z, -z = x*r - r + 13 for z." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the remainder when 1910 is divided by 315?" }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "What is the nearest to -0.1 in 2/7, 1/4, 1.0344?" }, { "from": "gpt", "value": "1/4" } ]
[ { "from": "human", "value": "What is the value of ((-9)/(-6))/(6/12)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the third root of 1416 to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "-9*18/(-405) + 18/105" }, { "from": "gpt", "value": "4/7" } ]
[ { "from": "human", "value": "What is the z'th term of -101, -200, -289, -362, -413?" }, { "from": "gpt", "value": "z**3 - z**2 - 103*z + 2" } ]
[ { "from": "human", "value": "Suppose l + 11 = -3*d, 5*d + 0*l + 2*l + 20 = 0. Let u be (-3)/(6/d + 1). Let f = -27/70 + -4/35. What is the biggest value in u, -0.4, f?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "What is 102 minutes before 6:17 PM?" }, { "from": "gpt", "value": "4:35 PM" } ]
[ { "from": "human", "value": "Let y(c) be the third derivative of c**8/168 - 2*c**7/105 - c**6/10 + 4*c**5/15 + 5*c**4/12 - 2*c**3 - 4*c**2 + 6. Solve y(p) = 0." }, { "from": "gpt", "value": "-2, -1, 1, 3" } ]
[ { "from": "human", "value": "Solve -2031*f = -2032*f + 10 for f." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Let z(m) = 2*m**2 - 11*m. Let v(q) = q + 91. Calculate v(z(a))." }, { "from": "gpt", "value": "2*a**2 - 11*a + 91" } ]
[ { "from": "human", "value": "Find the second derivative of -25*f*t*w*y - 7*f*t*y - 192*f*w*y**2 - 6*t*w*y**2 + 8*t - 3*w*y**2 wrt y." }, { "from": "gpt", "value": "-384*f*w - 12*t*w - 6*w" } ]
[ { "from": "human", "value": "Multiply -0.3 and -16." }, { "from": "gpt", "value": "4.8" } ]
[ { "from": "human", "value": "Which is the third biggest value? (a) -0.7 (b) 9/2 (c) 2/13" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Solve -175 = -7*s - 28*s for s." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Solve 3*x - 6 = 0, 0 = z + 4*x - 5 - 7 for z." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Expand (-5 + 0 + 3)*(-2*y**3 - y**3 + y**3 + (-y + 4 - 4)*(-2*y + 2*y + y**2))." }, { "from": "gpt", "value": "6*y**3" } ]
[ { "from": "human", "value": "Let x = -75 - -71. What is the closest to x in 5, -0.1, 2/5?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Let t = -21.99864 + 22. What is t rounded to 4 decimal places?" }, { "from": "gpt", "value": "0.0014" } ]