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math

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[ { "from": "human", "value": "Work out 0.03 * -0.8." }, { "from": "gpt", "value": "-0.024" } ]
[ { "from": "human", "value": "Suppose 2*f + 3*f - 2*f = 0. Solve f*r + 3 = -r for r." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the c'th term of 45, 440, 1099, 2022, 3209, 4660, 6375?" }, { "from": "gpt", "value": "132*c**2 - c - 86" } ]
[ { "from": "human", "value": "Let j = 1 + 15. Solve 0 = -5*c + 15, -s = -4*c + j - 3 for s." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let o be (0 - 3 - 0) + 3. Let x be o/(-3) - 2/7. What is the biggest value in x, 4, 1/3?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let d = 4.629 + -0.029. Let u = d - 0.6. Sort u, -5, -1 in ascending order." }, { "from": "gpt", "value": "-5, -1, u" } ]
[ { "from": "human", "value": "Divide -1649 by 97." }, { "from": "gpt", "value": "-17" } ]
[ { "from": "human", "value": "Which is smaller: 73/2 or 36?" }, { "from": "gpt", "value": "36" } ]
[ { "from": "human", "value": "What is the units digit of 516?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Let f be -3*(24/(-9) - -2). Suppose 49 = -3*b - f*s, 64 = -4*b - 3*s - 2. Let i = -1 - b. Calculate the remainder when 26 is divided by i." }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Is 2434 a multiple of 23?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let g(v) = 8*v + 12. Let q(l) = -l - 1. Let m(t) = -g(t) - 12*q(t). Let j(u) = -u**2. Calculate j(m(d))." }, { "from": "gpt", "value": "-16*d**2" } ]
[ { "from": "human", "value": "What is 1*-5 + (-12 + -12)/4?" }, { "from": "gpt", "value": "-11" } ]
[ { "from": "human", "value": "What is 9/42*(-1 - 2/(-6 + 32/4))?" }, { "from": "gpt", "value": "-3/7" } ]
[ { "from": "human", "value": "What is the third biggest value in -6/5, -0.4, 11, -3?" }, { "from": "gpt", "value": "-6/5" } ]
[ { "from": "human", "value": "Is 864 a multiple of 18?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let z = 13 - 13. Solve 3*i = -3 - z for i." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "In base 4, what is -11 - 2033?" }, { "from": "gpt", "value": "-2110" } ]
[ { "from": "human", "value": "What comes next: -43, -101, -159?" }, { "from": "gpt", "value": "-217" } ]
[ { "from": "human", "value": "Let c = -7 - -11. Suppose c*g = -4 + 16. Is 3 a factor of g?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let a be ((-6)/2)/18 - 470/(-12). Solve 5*g = -14 + a for g." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Is -123/13 smaller than -9?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 169841 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Solve -18 = -2*q - 4*a, -3*q = a + 6 - 23 for q." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 5*g - 6 = 3*c - 5, 4*c + 4*g - 52 = 0. Suppose 4*l = c*l - 76. Let f = l - 4. Does 5 divide f?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the common denominator of -41/2 and -5/378?" }, { "from": "gpt", "value": "378" } ]
[ { "from": "human", "value": "Solve 0 = 250*s - 253*s - j - 19, -2*s - 5*j - 17 = 0 for s." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "What is 104/(-78)*-1*2/12?" }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "Solve -15*c + 14*c = 2*m + 4, m - 3*c = -2 for m." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Divide 45 by -25." }, { "from": "gpt", "value": "-9/5" } ]
[ { "from": "human", "value": "What is 44/(-7) - ((-608)/(-112))/(-19)?" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Solve 39 = -2041*c + 2054*c for c." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate the highest common factor of 1 and 53." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify 3 + (sqrt(1700) - 3*(sqrt(1700) + -3))." }, { "from": "gpt", "value": "12 - 20*sqrt(17)" } ]
[ { "from": "human", "value": "Solve 24 = -v - 3*v for v." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Solve 0 = 15*o - 9*o + 30 for o." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Determine z, given that 2*z**4/7 - 20*z**3/7 + 66*z**2/7 - 88*z/7 + 40/7 = 0." }, { "from": "gpt", "value": "1, 2, 5" } ]
[ { "from": "human", "value": "Solve 10*i + 16 - 106 = 0 for i." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Solve -3*a - 5*v = -11, 9*a + 4*v - 12 = 5*a for a." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Calculate the greatest common factor of 264 and 15." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let k be (-4 + 1)/((-3)/2). What is the second derivative of k*u**5 + 0*u**5 + 3*u - 6*u wrt u?" }, { "from": "gpt", "value": "40*u**3" } ]
[ { "from": "human", "value": "Suppose 9*q - 10*q = -2. Solve 2*z + 3*u = -2*u + 27, 22 = q*z + 4*u for z." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve -2*z + 38 = 3*w, -4*w + 88 = 2011*z - 1999*z for w." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Solve -3*u + 7 = -54*c + 59*c, 0 = u - 4 for c." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let i(x) be the first derivative of -x**4/24 + x**3/9 + 3*x**2/4 - 3*x - 297. Factor i(q)." }, { "from": "gpt", "value": "-(q - 3)*(q - 2)*(q + 3)/6" } ]
[ { "from": "human", "value": "Suppose -10 = 5*a - 4*t, -3*a + 0*t - 2*t + 16 = 0. Let b = -3 + 5. Factor 2*c**4 + 9*c**3 + c + 6*c**a + b*c**4 + 0*c." }, { "from": "gpt", "value": "c*(c + 1)**2*(4*c + 1)" } ]
[ { "from": "human", "value": "Solve 8*b - 7*b - 2*b = 0 for b." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let p(y) = y. Let d(z) = 3 - 4*z. What is -d(q) - 5*p(q)?" }, { "from": "gpt", "value": "-q - 3" } ]
[ { "from": "human", "value": "Find the third derivative of 2398*w**3 + 8*w**2 - 33 wrt w." }, { "from": "gpt", "value": "14388" } ]
[ { "from": "human", "value": "Let h = 10 - 7. What is the common denominator of 575/60 - (-2)/h and (2/15)/(12/(-255))?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Does 2 divide 9345?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "In base 11, what is -21 + -8?" }, { "from": "gpt", "value": "-29" } ]
[ { "from": "human", "value": "Let f = 1 + -4. Let w(p) be the third derivative of -p**4/6 - 2*p**2. What is the tens digit of w(f)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Solve 0 = -33*t + 27*t + 30 for t." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let u be (0 - -1) + 5/5. Suppose -5*o - 34 = -5*m + 1, 4*m = u*o + 24. Calculate the remainder when 9 is divided by m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is the eighth root of 3206 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let r be (-6)/2*(-104)/12. Let c = r + 8. Let m be c/(-2*(2 - 3)). Calculate the greatest common factor of m and 17." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "What is the v'th term of 259, 261, 271, 295, 339, 409, 511?" }, { "from": "gpt", "value": "v**3 - 2*v**2 + v + 259" } ]
[ { "from": "human", "value": "What comes next: -661, -662, -663?" }, { "from": "gpt", "value": "-664" } ]
[ { "from": "human", "value": "Let b(l) = l**2 + 2*l - 1. Let w be b(1). Suppose 4*o + 5*f - 20 = 0, 2*o - 4 = w*f + 6. Let p = -24 - -170/7. What is the third biggest value in 1/3, o, p?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "What is 2/(-6) + 264/(-72)?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "In base 4, what is -10 - 12000?" }, { "from": "gpt", "value": "-12010" } ]
[ { "from": "human", "value": "What is the closest to 2/5 in 2/23, -1/47, 1, 3?" }, { "from": "gpt", "value": "2/23" } ]
[ { "from": "human", "value": "What is the next term in -26, -143, -260?" }, { "from": "gpt", "value": "-377" } ]
[ { "from": "human", "value": "How many millimeters are there in twenty-seven fifths of a centimeter?" }, { "from": "gpt", "value": "54" } ]
[ { "from": "human", "value": "(-28)/8*(-2816)/2464 + ((-1836)/(-75))/(-6)" }, { "from": "gpt", "value": "-2/25" } ]
[ { "from": "human", "value": "Suppose -j - 3*j + 16 = 0. Let z = -16 - 0. Let v = z - -21. Solve 6 = 5*b - j, -v*g + 16 = -2*b for g." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let f(i) = i**3 + 3. Give f(0)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "0.1*-0.39" }, { "from": "gpt", "value": "-0.039" } ]
[ { "from": "human", "value": "Let l = -1 + 1. Let m(w) = -2*w**2 - 4*w - 2. Let g be m(-3). Let s be (g/14)/((-2)/7). Put 1, s, l in ascending order." }, { "from": "gpt", "value": "l, 1, s" } ]
[ { "from": "human", "value": "Let p(s) = -s**2 + 11*s + 2. Let y be p(7). Suppose -y = 12*q - 9*q. Put 5, q, -1 in ascending order." }, { "from": "gpt", "value": "q, -1, 5" } ]
[ { "from": "human", "value": "Expand (-5 + 5 - 3*p**4)*(0 - 1 + 3)." }, { "from": "gpt", "value": "-6*p**4" } ]
[ { "from": "human", "value": "In base 12, what is 6a + 16?" }, { "from": "gpt", "value": "84" } ]
[ { "from": "human", "value": "Which is the nearest to 2? (a) 53 (b) -0.04 (c) 0.5" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the tens digit of 732?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the next term in 329, 684, 1039, 1394?" }, { "from": "gpt", "value": "1749" } ]
[ { "from": "human", "value": "In base 13, what is 2a2 - 2?" }, { "from": "gpt", "value": "2a0" } ]
[ { "from": "human", "value": "What is the second smallest value in 430/3, 0.2, -3, 4, 1?" }, { "from": "gpt", "value": "0.2" } ]
[ { "from": "human", "value": "What is the highest common factor of 20086 and 332?" }, { "from": "gpt", "value": "166" } ]
[ { "from": "human", "value": "In base 5, what is -4 + 20414?" }, { "from": "gpt", "value": "20410" } ]
[ { "from": "human", "value": "Suppose 3*b - 3*p = -0*b - 3, 3*p = -4*b + 3. Let q be (2/(-2) - 0)*b. Solve q = 3*c - d - 4, -2*c - 2*d + 1 = 9 for c." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Find the common denominator of 7/1017 and 73/339." }, { "from": "gpt", "value": "1017" } ]
[ { "from": "human", "value": "What is the second biggest value in -0.3, -0.5, -58?" }, { "from": "gpt", "value": "-0.5" } ]
[ { "from": "human", "value": "Is 25/193 greater than or equal to -1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Calculate -890 divided by 5." }, { "from": "gpt", "value": "-178" } ]
[ { "from": "human", "value": "What is 204 minutes before 2:38 AM?" }, { "from": "gpt", "value": "11:14 PM" } ]
[ { "from": "human", "value": "Let g = -30 + 28. Put 1, g, -10, 5 in ascending order." }, { "from": "gpt", "value": "-10, g, 1, 5" } ]
[ { "from": "human", "value": "Let t(v) be the second derivative of -2/3*v**4 + 0*v**2 + 0 + 0*v**6 + 1/7*v**8 + 0*v**7 + 8*v + 0*v**5 + 0*v**3. Find the third derivative of t(l) wrt l." }, { "from": "gpt", "value": "960*l**3" } ]
[ { "from": "human", "value": "Does 9 divide 855?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let h(k) be the third derivative of 0*k - 1/6*k**3 + 0*k**4 + 0 + 0*k**5 + 0*k**6 + k**2 - 1/105*k**7. Find the first derivative of h(w) wrt w." }, { "from": "gpt", "value": "-8*w**3" } ]
[ { "from": "human", "value": "What is the s'th term of -176, -166, -150, -128, -100, -66, -26?" }, { "from": "gpt", "value": "3*s**2 + s - 180" } ]
[ { "from": "human", "value": "Let i be 23/((-23)/1176) + -1. Let u = -623 - i. What is the units digit of u?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Simplify (4*4*sqrt(2)*-2*-3)**2 - (sqrt(256)/sqrt(8) + 0)*-3." }, { "from": "gpt", "value": "12*sqrt(2) + 18432" } ]
[ { "from": "human", "value": "What is -178 (base 10) in base 11?" }, { "from": "gpt", "value": "-152" } ]
[ { "from": "human", "value": "Solve -204*c**5 + 1215*c**4 + 3114*c**3 + 1767*c**2 + 72*c = 0 for c." }, { "from": "gpt", "value": "-1, -3/68, 0, 8" } ]
[ { "from": "human", "value": "Let k be 1/2 - (-33)/6. Let c = 1 + k. What is the remainder when 12 is divided by c?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let k = -7 + 13. Let h(w) = 6*w**2 + 3*w**3 + k*w + 3 - 2*w**3 - w. Let j be h(-5). Solve 0 = j*p - 2*p + 3 for p." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the third root of 581 to the nearest integer?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let s(t) = t**2 - 8*t + 6. Determine s(11)." }, { "from": "gpt", "value": "39" } ]
[ { "from": "human", "value": "What is 592164.5 millilitres in litres?" }, { "from": "gpt", "value": "592.1645" } ]