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math

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[ { "from": "human", "value": "What is the nearest to 64/5 in -5, 0.1, 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Find the common denominator of 39/28 and 127/728." }, { "from": "gpt", "value": "728" } ]
[ { "from": "human", "value": "204 divided by -34" }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Is 10870 a multiple of 10?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let i be ((-3)/3)/((-5)/10). Let l be 1/i*-2 + 13. Solve -4*n + 0*n = l for n." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "-2851 divided by 1" }, { "from": "gpt", "value": "-2851" } ]
[ { "from": "human", "value": "How many minutes are there between 3:14 PM and 12:31 AM?" }, { "from": "gpt", "value": "557" } ]
[ { "from": "human", "value": "Are -270/97 and -2 nonequal?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let v(l) be the first derivative of -l**2 - 4 - 2/3*l**3 - l. Determine v(-2)." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let b = -25 + 40. Suppose -q = 4*q - b. Suppose -q*d + 10 = -d. Solve -d*y = -y + 4 for y." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) 6 (b) 0 (c) 0.3 (d) 0.016" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Simplify -4*(sqrt(20)/(sqrt(12)/sqrt(3)) - sqrt(25)/sqrt(5)*-5)." }, { "from": "gpt", "value": "-24*sqrt(5)" } ]
[ { "from": "human", "value": "Evaluate (-16)/(-10)*(-12)/((-120)/(-25))." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve -16 = 4*s + a, -3*s - 4*a - 17 = 8 for s." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Find b such that b**2/4 + 21*b/2 - 583/4 = 0." }, { "from": "gpt", "value": "-53, 11" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 537 and 15." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let p be (-10)/(-4)*2*1. Let d(s) = -s**2 - 9*s + 15. Let w be d(-10). Solve 0 = 5*k - w*r + p, -k - 3*r = -2*r + 1 for k." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the highest common factor of 374 and 99?" }, { "from": "gpt", "value": "11" } ]
[ { "from": "human", "value": "Which is smaller: 115937 or 115938?" }, { "from": "gpt", "value": "115937" } ]
[ { "from": "human", "value": "What is the cube root of 12064 to the nearest integer?" }, { "from": "gpt", "value": "23" } ]
[ { "from": "human", "value": "18 divided by -1" }, { "from": "gpt", "value": "-18" } ]
[ { "from": "human", "value": "Let l = -9 - -14. Suppose -4*o = -l*p - 198, 4*o - 100 = 2*o + 3*p. Suppose -i + 5*t - 2*t = -10, -8 = -4*t. What is the remainder when o is divided by i?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Let o(j) = 6*j + 2 - 14*j**3 + j + 21*j**3 - 3 - 2*j**4. Let t(q) = q**4 - 4*q**3 - 4*q + 1. Let f(l) = 4*o(l) + 7*t(l). Differentiate f(b) wrt b." }, { "from": "gpt", "value": "-4*b**3" } ]
[ { "from": "human", "value": "Which is the closest to 0? (a) -5 (b) -1/3 (c) -17/2 (d) 3" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let j = 26 - 26.21. Suppose y - a = -3*y + 7, -10 = 5*y + 5*a. Let p = -119626 + 1555136/13. What is the nearest to j in y, 0, p?" }, { "from": "gpt", "value": "p" } ]
[ { "from": "human", "value": "Expand (3 - 4 + 0)*(2*o + 3*o - 3*o + (6 - 2 - 1)*(0*o + 0*o + 2*o) - 2*o - 2*o + 2*o)." }, { "from": "gpt", "value": "-6*o" } ]
[ { "from": "human", "value": "Divide 42 by 21." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let v**4/2 + 44*v**3/3 - 10*v**2 = 0. Calculate v." }, { "from": "gpt", "value": "-30, 0, 2/3" } ]
[ { "from": "human", "value": "Let i(s) = s - 3. Let t be i(3). Let f = 4 - t. Let y be (-1 - f)*(-3 + 0). Solve 2*k - y = -3*k for k." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the seventh root of 33 to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let j = 96 + -68. Let d = -12 + j. Solve r = 5*r + d for r." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 3.4097 plus 0.38?" }, { "from": "gpt", "value": "3.7897" } ]
[ { "from": "human", "value": "Let d(g) be the third derivative of 0*g + 0 + 5*g**2 + 1/30*g**5 + 0*g**4 + 0*g**3. Suppose d(x) = 0. Calculate x." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Put -6, -3, -1, 2 in increasing order." }, { "from": "gpt", "value": "-6, -3, -1, 2" } ]
[ { "from": "human", "value": "Let p be ((-52)/10)/(2/(-10)). Suppose -20 = -11*m + 7*m, m = 2*g - 125. What is the greatest common divisor of p and g?" }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "What comes next: 5003, 5012, 5033, 5072, 5135, 5228, 5357?" }, { "from": "gpt", "value": "5528" } ]
[ { "from": "human", "value": "Which is bigger: 9/7 or 0?" }, { "from": "gpt", "value": "9/7" } ]
[ { "from": "human", "value": "What is the closest to -1 in 0.683, 2/11, 0.2, -3/5?" }, { "from": "gpt", "value": "-3/5" } ]
[ { "from": "human", "value": "What is (3/(-15)*4)/(324/(-90))?" }, { "from": "gpt", "value": "2/9" } ]
[ { "from": "human", "value": "Factor -3*n**2/4 + 153*n - 303." }, { "from": "gpt", "value": "-3*(n - 202)*(n - 2)/4" } ]
[ { "from": "human", "value": "Which is the fifth biggest value? (a) 2 (b) -2/19 (c) -0.3 (d) -16 (e) 3" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "What is the greatest common divisor of 51 and 391?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "What is the v'th term of 37, 111, 229, 385, 573, 787, 1021?" }, { "from": "gpt", "value": "-v**3 + 28*v**2 - 3*v + 13" } ]
[ { "from": "human", "value": "Solve 5*i - 5*x + 35 = 0, 0 = -5*i + x + 3 - 30 for i." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is prob of sequence iih when three letters picked without replacement from {h: 13, i: 3}?" }, { "from": "gpt", "value": "13/560" } ]
[ { "from": "human", "value": "Calculate (1/10)/((35/(-30))/(-7))." }, { "from": "gpt", "value": "3/5" } ]
[ { "from": "human", "value": "Which is bigger: -2090/43 or -49?" }, { "from": "gpt", "value": "-2090/43" } ]
[ { "from": "human", "value": "Divide 185 by 9." }, { "from": "gpt", "value": "185/9" } ]
[ { "from": "human", "value": "Solve 0 = -3*u - 5*t + 12, 4*u + 4*t - 6 - 2 = 0 for u." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let q = 0.3 - -0.5. Let p = 3.2 + q. Let r = p + -5. Which is bigger: r or 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "In base 13, what is -436 - -1?" }, { "from": "gpt", "value": "-435" } ]
[ { "from": "human", "value": "What comes next: -100, -196, -292?" }, { "from": "gpt", "value": "-388" } ]
[ { "from": "human", "value": "Let z(w) be the second derivative of 9*w**5/100 - 2*w**4/5 + 2*w**3/5 - 28*w. Factor z(i)." }, { "from": "gpt", "value": "3*i*(i - 2)*(3*i - 2)/5" } ]
[ { "from": "human", "value": "Calculate the remainder when 117650 is divided by 39085." }, { "from": "gpt", "value": "395" } ]
[ { "from": "human", "value": "Let m(k) = -14*k + k**2 + 9*k + 7*k - 3. Let h be m(-3). Suppose -2/7*p**2 + 0 + h*p = 0. What is p?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Convert 0 (base 10) to base 6." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Which is the second biggest value? (a) -0.1 (b) 3 (c) 4/25 (d) -0.3" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Is 4472763 a composite number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let n be -1 - (0 + -2*2). Suppose 2 = 4*t - n*t. Suppose -t*d - 2*p = 0, -2*d - 4 = -d + 5*p. Does -2/7 = d?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let p(z) = -z**3 + 8*z**2 - 6*z - 7. Suppose 2*r = 2*d + 12, -36 = -5*r - d - 0*d. Let t be p(r). Which is smaller: 1/3 or t?" }, { "from": "gpt", "value": "t" } ]
[ { "from": "human", "value": "Divide 54 by 9." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is 1678 to the power of 1/10, to the nearest integer?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is -17.6 minus -0.039?" }, { "from": "gpt", "value": "-17.561" } ]
[ { "from": "human", "value": "What is 589 minutes before 2:32 PM?" }, { "from": "gpt", "value": "4:43 AM" } ]
[ { "from": "human", "value": "What is 9/(-72)*-60*2/(-5)?" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "How many minutes are there between 11:51 PM and 10:58 AM?" }, { "from": "gpt", "value": "667" } ]
[ { "from": "human", "value": "Let m = -21 + 21.1. Let i = 128 - 899/7. Which is the third smallest value? (a) 3 (b) m (c) i" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let j(k) = 2*k - 3. Let a(d) = 2 - 2*d. Let l(f) = -2*a(f) - j(f). Determine l(-3)." }, { "from": "gpt", "value": "-7" } ]
[ { "from": "human", "value": "Let r be (5/(-3))/5*0. Is r at least 7/6?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 0*h + 3*h - 9 = -4*b, -2*b + 2*h + 8 = 0 for b." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Express 1 + 4*u**2 - 1 - 30*u + 33*u in the form p*u**2 + z*u + s and give z." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 4*f = 37 - 33. What is the highest common divisor of f and 9?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let o = 46 + -44. Factor 0 - 21/5*s**o - 3*s**3 - 6/5*s." }, { "from": "gpt", "value": "-3*s*(s + 1)*(5*s + 2)/5" } ]
[ { "from": "human", "value": "Let v be 1/4*(-11)/(-22). Let x be ((-124)/(-7))/((-2)/(-8)). Let w = 71 - x. Which is the closest to 1/4? (a) v (b) w (c) -4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Express -11*s - 2*s**3 - 2*s**2 + 11*s + 3 in the form x*s**3 + n + m*s**2 + z*s and give x." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Solve -4*m - 3*k = -6*k - 31, -5*m = 4*k for m." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -6 - 2 = -4*d. Solve -2*g - g + 2*w - 13 = 0, -5*g - 15 = -d*w for g." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the s'th term of 48, 57, 66, 75, 84, 93?" }, { "from": "gpt", "value": "9*s + 39" } ]
[ { "from": "human", "value": "Let w = -3 + 6. Let c be 4/6 - 5/w. Let n be c + 2 - -20 - -2. Solve 3*o + 8 = n for o." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let z = 15244265 - 5966087. Suppose -4*i = k - z, -3*k - 2*k - i = -46390928. Suppose -r = 1978186 - k. Round r to the nearest 1000000." }, { "from": "gpt", "value": "7000000.0" } ]
[ { "from": "human", "value": "What is the next term in -13, -15, -19, -25, -33?" }, { "from": "gpt", "value": "-43" } ]
[ { "from": "human", "value": "In base 5, what is -34 + 22?" }, { "from": "gpt", "value": "-12" } ]
[ { "from": "human", "value": "What is the value of 6/12*6/57?" }, { "from": "gpt", "value": "1/19" } ]
[ { "from": "human", "value": "Sum 1719.1 and 127." }, { "from": "gpt", "value": "1846.1" } ]
[ { "from": "human", "value": "1/1 - -15*(-12)/(-36)" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Sort -1, -3, 14, -8 in increasing order." }, { "from": "gpt", "value": "-8, -3, -1, 14" } ]
[ { "from": "human", "value": "Suppose 0 = -63*l + 66*l - 3*j - 18, 12 = 3*l + 3*j. Which is the nearest to 0.1? (a) 1 (b) 4/7 (c) l" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is -0.0265329 rounded to 4 decimal places?" }, { "from": "gpt", "value": "-0.0265" } ]
[ { "from": "human", "value": "Let t = -223 + 377. What is the tens digit of t?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Find the first derivative of 1145*r**4 + 1498 wrt r." }, { "from": "gpt", "value": "4580*r**3" } ]
[ { "from": "human", "value": "What is the h'th term of 121, 114, 109, 106, 105, 106, 109?" }, { "from": "gpt", "value": "h**2 - 10*h + 130" } ]
[ { "from": "human", "value": "Simplify (sqrt(170)/(sqrt(490)*-2))**2." }, { "from": "gpt", "value": "17/196" } ]
[ { "from": "human", "value": "Let f(p) be the second derivative of p**7/70 - 7*p**6/50 + 57*p**5/100 - 5*p**4/4 + 8*p**3/5 - 6*p**2/5 - 35*p. Solve f(x) = 0 for x." }, { "from": "gpt", "value": "1, 2" } ]
[ { "from": "human", "value": "Calculate 566 divided by -8." }, { "from": "gpt", "value": "-283/4" } ]
[ { "from": "human", "value": "Let r(k) be the first derivative of 3*k**2/2 + 2*k - 3. Let f(p) = 1. Determine -3*f(c) + r(c)." }, { "from": "gpt", "value": "3*c - 1" } ]
[ { "from": "human", "value": "What comes next: 586, 598, 626, 676, 754, 866, 1018?" }, { "from": "gpt", "value": "1216" } ]
[ { "from": "human", "value": "-22 (base 12) to base 13" }, { "from": "gpt", "value": "-20" } ]
[ { "from": "human", "value": "Calculate -3*2/(-4)*16/24." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let i be ((-6)/9)/((-4)/138). Let z = i + -12. Which is bigger: 12 or z?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Does 343 divide 496627256?" }, { "from": "gpt", "value": "False" } ]