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[ { "from": "human", "value": "Let w be (-6)/4 - 21/6. Let d = 5 + w. Suppose d*m + 16 = 3*m - 5*h, 18 = 4*m - 5*h. Which is the biggest value? (a) -0.1 (b) m (c) 2/9" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Suppose -17*c = 3*c - 100. Solve 5*v = -3*m + c*m + 24, -12 = 4*m - v for m." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Simplify ((q/(q**(-2/7)/q)*q)/q)**(6/25)*q/(q*q/((q/((q/(q/(q*q**(3/8)*q))*q)/q))/q))*((q**(2/9)/q*q)/q)/q assuming q is positive." }, { "from": "gpt", "value": "q**(-58013/12600)" } ]
[ { "from": "human", "value": "Solve 13*i - 6*i + 21 = 0 for i." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Suppose 0 = -2*l - 2*l. Suppose 2*c + 5*u = 210, -3*c + 5*u + 435 = 120. Suppose 6*i - i - c = l. Calculate the remainder when i is divided by 12." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Suppose 3*o**5/7 - 1359*o**4 - 1182708*o**3/7 - 6753132*o**2/7 = 0. What is o?" }, { "from": "gpt", "value": "-114, -6, 0, 3291" } ]
[ { "from": "human", "value": "What is the fifth root of 4335 to the nearest integer?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "What is 8193 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "91" } ]
[ { "from": "human", "value": "Calculate the remainder when 358 is divided by 20." }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "Round -5122000 to the nearest one million." }, { "from": "gpt", "value": "-5000000.0" } ]
[ { "from": "human", "value": "What is the value of 7/(21/(-2)) + (-14)/(-12)?" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "Let u(h) = h + 4. Let i be u(0). Solve 18 = -i*n - 2*d, 8*d = 3*d + 5 for n." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let j be (12/14)/(((-135)/(-70))/9). Solve 0*u - j*q = -u + 5, 5*u + 3*q = 2 for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Sort -2/7, -2.7, 4/3, -0.4 in decreasing order." }, { "from": "gpt", "value": "4/3, -2/7, -0.4, -2.7" } ]
[ { "from": "human", "value": "Calculate (10 - 10)*(-2)/6." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let a = -94048 - -94048.0090094. Let o = a - 0.009. What is o rounded to 6 decimal places?" }, { "from": "gpt", "value": "9e-06" } ]
[ { "from": "human", "value": "Solve -n = 3*t - 4, 2*n + 3 = -4*t + 9 for n." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let o be (-3)/7 + 108/56. Find k, given that 0*k + 0*k**4 + o*k**5 + 0*k**2 + 0 + 0*k**3 = 0." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let i be (8 - 1)*(5 - 8/4). Suppose -2*a + i = 2*v - 3, 4*v + 96 = 5*a. List the prime factors of a." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "159+169" }, { "from": "gpt", "value": "328" } ]
[ { "from": "human", "value": "Suppose -5*b + 186 = -2*b. Calculate the remainder when b is divided by 21." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "Let b(w) be the first derivative of -1/2*w**4 + 0*w**3 - 3*w - 1 + 0*w**2. Differentiate b(u) with respect to u." }, { "from": "gpt", "value": "-6*u**2" } ]
[ { "from": "human", "value": "List the prime factors of -3*8/(-12) + 1." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "1117 divided by 3" }, { "from": "gpt", "value": "1117/3" } ]
[ { "from": "human", "value": "Evaluate (8/28*(-119)/102)/(-2)." }, { "from": "gpt", "value": "1/6" } ]
[ { "from": "human", "value": "What is three fifths of a meter in millimeters?" }, { "from": "gpt", "value": "600" } ]
[ { "from": "human", "value": "Is 126 at least 2?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Solve -143 + 523 = -76*a for a." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let x be (-4)/(-14) - 33/(-7). Suppose 0*h + 2*v = -5*h + 305, -x*v = -4*h + 244. Calculate the remainder when h is divided by 21." }, { "from": "gpt", "value": "19" } ]
[ { "from": "human", "value": "In base 3, what is 12 - 200010?" }, { "from": "gpt", "value": "-122221" } ]
[ { "from": "human", "value": "Is -1 smaller than 1284/35?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What comes next: 35, 77, 119, 161, 203?" }, { "from": "gpt", "value": "245" } ]
[ { "from": "human", "value": "Solve 0 = -3*v - 6*g - 33, -8*v + 3*v - 4*g = 37 for v." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Divide 7628 by -4." }, { "from": "gpt", "value": "-1907" } ]
[ { "from": "human", "value": "What is the nearest to 0.1 in -1/3, 5, 1/2?" }, { "from": "gpt", "value": "1/2" } ]
[ { "from": "human", "value": "What is 43 divided by 372?" }, { "from": "gpt", "value": "43/372" } ]
[ { "from": "human", "value": "Simplify (sqrt(140)/sqrt(5)*-1)/(sqrt(4) - (sqrt(4) + sqrt(256) + sqrt(256)*-1 + sqrt(256) + sqrt(4)))." }, { "from": "gpt", "value": "sqrt(7)/9" } ]
[ { "from": "human", "value": "Simplify (3*3*sqrt(133))/sqrt(7)." }, { "from": "gpt", "value": "9*sqrt(19)" } ]
[ { "from": "human", "value": "What is prob of picking 2 a and 1 t when three letters picked without replacement from aattttatttattatatt?" }, { "from": "gpt", "value": "15/68" } ]
[ { "from": "human", "value": "Let z(w) be the second derivative of 0 + 0*w**3 - 1/40*w**5 - 3*w + 0*w**2 - 1/12*w**4. Factor z(g)." }, { "from": "gpt", "value": "-g**2*(g + 2)/2" } ]
[ { "from": "human", "value": "Let 6*c**3 - 4*c**2 - 24*c + 16 = 0. What is c?" }, { "from": "gpt", "value": "-2, 2/3, 2" } ]
[ { "from": "human", "value": "What is the square root of 6394 to the nearest integer?" }, { "from": "gpt", "value": "80" } ]
[ { "from": "human", "value": "Let o be (3 - 5)/(4/(-6)). Let l(q) = -q**2 + 3*q + 2. Let k(h) = -2*h**2 - h. Let g(f) = -5*f**2 - f + 1. Let u(b) = -3*g(b) + 7*k(b). What is o*u(v) + 4*l(v)?" }, { "from": "gpt", "value": "-v**2 - 1" } ]
[ { "from": "human", "value": "129 + 2.29" }, { "from": "gpt", "value": "131.29" } ]
[ { "from": "human", "value": "Simplify ((sqrt(112) - sqrt(28))*2)/sqrt(4)." }, { "from": "gpt", "value": "2*sqrt(7)" } ]
[ { "from": "human", "value": "What is the product of -0.2 and -5.27?" }, { "from": "gpt", "value": "1.054" } ]
[ { "from": "human", "value": "Solve -4*n - 76 = -68 for n." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let b be (3 + -1 - 4) + 8. Let s be ((-1)/2)/(3/b). Put 5, s, 0.3 in increasing order." }, { "from": "gpt", "value": "s, 0.3, 5" } ]
[ { "from": "human", "value": "((-12)/2)/12*-2" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 12002201102100 (base 3) in base 11?" }, { "from": "gpt", "value": "1591679" } ]
[ { "from": "human", "value": "Calculate the least common multiple of 12472 and 12." }, { "from": "gpt", "value": "37416" } ]
[ { "from": "human", "value": "What is 3/((-126)/(-448)) + (-8)/3?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Suppose -5*b - 7 + 17 = 0. Let g be (9 - 10)/((-3)/36). Suppose -2*o + x + g = 4*x, 0 = -o + 4*x - 16. Sort -4, o, b in increasing order." }, { "from": "gpt", "value": "-4, o, b" } ]
[ { "from": "human", "value": "Which is the biggest value? (a) 4/7 (b) 2/7 (c) -4 (d) -1 (e) -1/6" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Calculate -4 - (1 + -2 + 22 + -23)." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let o be 3/4 - (-228)/16. Let m be (-4)/(-10) - 6/o. Let j(t) = t**2 - t + 16. Does 13 divide j(m)?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -6025 plus 0.084?" }, { "from": "gpt", "value": "-6024.916" } ]
[ { "from": "human", "value": "Factor o**4/4 - 31*o**3/2 + 961*o**2/4." }, { "from": "gpt", "value": "o**2*(o - 31)**2/4" } ]
[ { "from": "human", "value": "-22 times 0.005" }, { "from": "gpt", "value": "-0.11" } ]
[ { "from": "human", "value": "Is 0 bigger than -5/74?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 6, what is -25120 - 2?" }, { "from": "gpt", "value": "-25122" } ]
[ { "from": "human", "value": "Let a be (-34)/(-9) + (-11)/(594/(-12)). Solve f = a*f for f." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Suppose -2*t = 4*w - 52, -5*w - 85 = -6*t + t. Is t a multiple of 4?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let p be 4/(-10) + 60/25. Let s = -81 + 101. Solve s = -p*z + 6*z for z." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Evaluate (-6)/(-84)*7*(8 - 0)." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Factor -3*l**2 - 72*l." }, { "from": "gpt", "value": "-3*l*(l + 24)" } ]
[ { "from": "human", "value": "Is 9007 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 9, what is 2 + 5657?" }, { "from": "gpt", "value": "5660" } ]
[ { "from": "human", "value": "In base 15, what is -14 - 2?" }, { "from": "gpt", "value": "-16" } ]
[ { "from": "human", "value": "What is -1 divided by 13?" }, { "from": "gpt", "value": "-1/13" } ]
[ { "from": "human", "value": "What is the units digit of (-282)/(-7) - 2/7?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "(-16)/(-16)*(-2)/4*2" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "How many minutes are there between 11:50 PM and 2:40 AM?" }, { "from": "gpt", "value": "170" } ]
[ { "from": "human", "value": "Work out 9 + -11777." }, { "from": "gpt", "value": "-11768" } ]
[ { "from": "human", "value": "Solve 0 = -33*b - 75 + 75 for b." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Let b be 6/8 - (-36)/(-48). Let l(d) = d**3 - 4*d**2 + d + 2. Let y = -2 - -4. Let o be l(y). Put o, b, -3 in increasing order." }, { "from": "gpt", "value": "o, -3, b" } ]
[ { "from": "human", "value": "Let k(m) be the first derivative of 1/6*m**3 - 1/12*m**6 + 3 + 3/10*m**5 - 3/8*m**4 + 0*m + 0*m**2. Factor k(b)." }, { "from": "gpt", "value": "-b**2*(b - 1)**3/2" } ]
[ { "from": "human", "value": "Suppose 3*l - 2*t = -6, -2*l - t - 4 = -3*t. Is l smaller than 30?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 51 (base 6) in base 2?" }, { "from": "gpt", "value": "11111" } ]
[ { "from": "human", "value": "Suppose 5*v + 5 = 5*t - 0*v, -v = 2*t - 8. Solve 2*d + 3*d = -t*q - 12, -4*q = -5*d - 19 for d." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is 0.4 times -3.843?" }, { "from": "gpt", "value": "-1.5372" } ]
[ { "from": "human", "value": "Convert 7303.13 years to decades." }, { "from": "gpt", "value": "730.313" } ]
[ { "from": "human", "value": "What is (12/18)/((-10)/(-75))?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Suppose 5*g = -5*j + 5, -5*j + 2*g + 1 = -18. Solve 5*u - 7 = j for u." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let s = -52.7 + 53. What is the fourth smallest value in 3, 4, s, 0.6?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is next in -78, -201, -388, -645, -978, -1393?" }, { "from": "gpt", "value": "-1896" } ]
[ { "from": "human", "value": "Suppose 0 = 5*h + w - 27, 5*w = -3*h + 5*h. Suppose 0*n + 1585 = h*n. Is n composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the second derivative of -449*g*h**2 - 8*g*h - 3*g - 2*h wrt h." }, { "from": "gpt", "value": "-898*g" } ]
[ { "from": "human", "value": "What is -774 - -21?" }, { "from": "gpt", "value": "-753" } ]
[ { "from": "human", "value": "Let t be (-6)/(-18)*(-36)/(-2). Let o(s) = s**3 - 7*s**2 + 7*s - 3. Calculate the remainder when 5 is divided by o(t)." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let t(g) = g**3 + 4*g**2 - 5*g - 3. Let j be t(-5). Let m = 2 - j. Which is the biggest value? (a) -1/8 (b) -2/9 (c) m" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "List the prime factors of 761." }, { "from": "gpt", "value": "761" } ]
[ { "from": "human", "value": "Sort -37, 5, -5 in ascending order." }, { "from": "gpt", "value": "-37, -5, 5" } ]
[ { "from": "human", "value": "What is the m'th term of 638, 645, 664, 701, 762, 853, 980?" }, { "from": "gpt", "value": "m**3 + 637" } ]
[ { "from": "human", "value": "Let c = 1.3 - 0.3. Let x = -5 + c. Sort 4, x, -4/3 in ascending order." }, { "from": "gpt", "value": "x, -4/3, 4" } ]
[ { "from": "human", "value": "Suppose 44*q + 1 = 45*q. Calculate the smallest common multiple of q and 4." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let u be 9/(-6) - (-9)/2. Let a(h) be the first derivative of u*h + 0*h - h**3 - 4 + 8*h - 3*h. Find the first derivative of a(n) wrt n." }, { "from": "gpt", "value": "-6*n" } ]
[ { "from": "human", "value": "Let a = -137 - -137. Solve 3*b - u - 12 = -a*u, 2*u = -5*b + 9 for b." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is -110 (base 3) in base 5?" }, { "from": "gpt", "value": "-22" } ]
[ { "from": "human", "value": "Collect the terms in 0*i + 120 - i - 575 + 0*i." }, { "from": "gpt", "value": "-i - 455" } ]