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math

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[ { "from": "human", "value": "Is 238 > 249?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Suppose i - 10 + 7 = 0. Solve -1 - 7*u + u**i + 2*u**2 + 1 + 8*u = 0." }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "How many months are there in 11/4 of a year?" }, { "from": "gpt", "value": "33" } ]
[ { "from": "human", "value": "Suppose 5 = 2*o + 3*o. Solve -11 = 3*a + o for a." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 7697.7 rounded to the nearest one hundred?" }, { "from": "gpt", "value": "7700.0" } ]
[ { "from": "human", "value": "Let l(r) be the first derivative of -r**4/4 + 16*r**3/3 - 10*r**2 + 23*r - 111. Is l(14) a multiple of 39?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the common denominator of 107/182 and -67/238?" }, { "from": "gpt", "value": "3094" } ]
[ { "from": "human", "value": "Let h(p) be the second derivative of p**4/3 - 3*p**3/2 + 3*p**2/2 + 9*p. Let b be h(7). What is the greatest common factor of b and 17?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "0.2*-5379" }, { "from": "gpt", "value": "-1075.8" } ]
[ { "from": "human", "value": "Suppose 0 = -i - 2*i + 33. Let b = 13 - i. Is b composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is the value of (-27 + 32)*(-2)/2?" }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Simplify sqrt(120)/sqrt(54)." }, { "from": "gpt", "value": "2*sqrt(5)/3" } ]
[ { "from": "human", "value": "In base 2, what is 11 + -1111001?" }, { "from": "gpt", "value": "-1110110" } ]
[ { "from": "human", "value": "-5 + 5 - (1 - -2)" }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let g be 3/(-2) + (-36)/(-8). Suppose 0 = c - 3*p - 10, -3*p + 31 + 59 = g*c. What is the remainder when c is divided by 13?" }, { "from": "gpt", "value": "12" } ]
[ { "from": "human", "value": "Product of 0.014 and -4." }, { "from": "gpt", "value": "-0.056" } ]
[ { "from": "human", "value": "Let r(y) = 5*y - 24. Let a(m) = 4*m - 23. Give -7*a(b) + 6*r(b)." }, { "from": "gpt", "value": "2*b + 17" } ]
[ { "from": "human", "value": "Find the first derivative of -28*c**3*s - 3*c**3 - c + 4*s + 57 wrt c." }, { "from": "gpt", "value": "-84*c**2*s - 9*c**2 - 1" } ]
[ { "from": "human", "value": "In base 3, what is -120022 + -11?" }, { "from": "gpt", "value": "-120110" } ]
[ { "from": "human", "value": "Simplify (sqrt(405)*1 + sqrt(5) + 1*sqrt(500))**2." }, { "from": "gpt", "value": "2000" } ]
[ { "from": "human", "value": "Simplify ((sqrt(30) + 2*sqrt(30) + sqrt(30))*-3 - (sqrt(30) - -3*(sqrt(30) - 1*sqrt(30))))/(sqrt(6) - -1*sqrt(150) - sqrt(6) - (sqrt(168)/sqrt(4))/sqrt(7))." }, { "from": "gpt", "value": "-13*sqrt(5)/4" } ]
[ { "from": "human", "value": "Let i = 74 + -65. Calculate the greatest common factor of i and 63." }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Suppose -z = 4*t - 41, t + 4*t - 67 = 4*z. Calculate the remainder when 41 is divided by t." }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Let q be (6/4)/((-2)/(-4)). Suppose 3*w + 6 = 6*w. Suppose -2*f + 3*f = -w*u + 4, -3*u + 2*f = -6. Solve -5*a - b = 25, -3*b + u*b + 15 = -q*a for a." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "What is the highest common factor of 221 and 289?" }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "In base 5, what is -2130 + 23?" }, { "from": "gpt", "value": "-2102" } ]
[ { "from": "human", "value": "27 divided by -189" }, { "from": "gpt", "value": "-1/7" } ]
[ { "from": "human", "value": "What is the m'th term of 748014, 1496023, 2244032, 2992041, 3740050, 4488059?" }, { "from": "gpt", "value": "748009*m + 5" } ]
[ { "from": "human", "value": "What is the difference between 0.1 and 1.082?" }, { "from": "gpt", "value": "0.982" } ]
[ { "from": "human", "value": "What is -52.2445 rounded to the nearest integer?" }, { "from": "gpt", "value": "-52.0" } ]
[ { "from": "human", "value": "Let x = 2.43 + -1.93. Which is the fourth biggest value? (a) 123 (b) x (c) -0.4 (d) -3" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Suppose -2*d - 4 + 0 = 0, -188 = -5*r + 4*d. What are the prime factors of r?" }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Which is the closest to 792/13? (a) -0.3 (b) -4 (c) 2/9 (d) 5" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Suppose 8 = 5*b - 2. Suppose -5 = 3*z - 14. Suppose g = 4*a - 13, 2*a + z*a = -b*g + 26. What is the units digit of a?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is 49015 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "221" } ]
[ { "from": "human", "value": "What is 11981 divided by -3?" }, { "from": "gpt", "value": "-11981/3" } ]
[ { "from": "human", "value": "What is the c'th term of 1015, 1016, 1017?" }, { "from": "gpt", "value": "c + 1014" } ]
[ { "from": "human", "value": "Collect the terms in -4 - 9 - 3 + 16 - k." }, { "from": "gpt", "value": "-k" } ]
[ { "from": "human", "value": "Let q = -1375 - -129249/94. Let m = q - 45/188. Suppose -4*o = -3*o - 2. What is the closest to m in o, -0.1, 3?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "Let x = 467127 + -696127. What is x rounded to the nearest 10000?" }, { "from": "gpt", "value": "-230000.0" } ]
[ { "from": "human", "value": "Is 86783 a prime number?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let a(j) = -j**2 - 8*j - 7. Let l be a(-6). Suppose 52 = l*x - x. List the prime factors of x." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Let f = 12 - 6. Suppose 3*k - 9 = f. Let s be (186/30 - -2) + 1/(-5). Solve k*p = 3*p - s for p." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Does 45 divide 90?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let v(t) be the first derivative of 25*t**3 - 30*t**2 + 12*t - 7. Solve v(o) = 0." }, { "from": "gpt", "value": "2/5" } ]
[ { "from": "human", "value": "What is the third derivative of 19551*n**3 - 21299*n**2?" }, { "from": "gpt", "value": "117306" } ]
[ { "from": "human", "value": "Simplify (4 + sqrt(99) - sqrt(11)) + -3." }, { "from": "gpt", "value": "1 + 2*sqrt(11)" } ]
[ { "from": "human", "value": "Suppose 4*r = 52 - 36. What is the lowest common multiple of 7 and r?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "What is 1.4 minus 0.006?" }, { "from": "gpt", "value": "1.394" } ]
[ { "from": "human", "value": "4 divided by -85" }, { "from": "gpt", "value": "-4/85" } ]
[ { "from": "human", "value": "Solve -6*f + 8*k - 12*k + 30 = 0, -5 = -f - 5*k for f." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let g = -0.01 + -0.29. Let c = -914729/740706 + -5/6022. Let t = -4/41 + c. Sort t, 0.4, g in ascending order." }, { "from": "gpt", "value": "t, g, 0.4" } ]
[ { "from": "human", "value": "Let l = -4.99 - 0.01. Let v = -182 - -180. Which is the third biggest value? (a) v (b) l (c) 0" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Let g = -8 + 8. Suppose -5*u - 2 + 7 = g. Is 1 equal to u?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Let d(y) = y**3 - 2*y**2 - 4. Let a be d(3). Suppose w + 5*s = -30, 3*s = a*w + 5*s + 35. Put 5, w, 0 in increasing order." }, { "from": "gpt", "value": "w, 0, 5" } ]
[ { "from": "human", "value": "What is next in -76, -99, -110, -103, -72, -11?" }, { "from": "gpt", "value": "86" } ]
[ { "from": "human", "value": "Let p = 22.7 - 25.7. Put -2/11, -26, p in decreasing order." }, { "from": "gpt", "value": "-2/11, p, -26" } ]
[ { "from": "human", "value": "Solve v - 32*v + 93 = 0 for v." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the remainder when 770 is divided by 86?" }, { "from": "gpt", "value": "82" } ]
[ { "from": "human", "value": "Two letters picked without replacement from {i: 2, d: 7, v: 7}. What is prob of picking 1 d and 1 v?" }, { "from": "gpt", "value": "49/120" } ]
[ { "from": "human", "value": "What is the value of (-6)/4 - 3/(-6) - 0?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Find b, given that 5*b**5 + 675*b**4 + 21040*b**3 - 116920*b**2 + 193200*b - 98000 = 0." }, { "from": "gpt", "value": "-70, 1, 2" } ]
[ { "from": "human", "value": "Factor 2*r**5 - 28*r**4 + 90*r**3 + 112*r**2 - 392*r." }, { "from": "gpt", "value": "2*r*(r - 7)**2*(r - 2)*(r + 2)" } ]
[ { "from": "human", "value": "Solve 26*o = 5*j + 29*o + 17, 2*j = -5*o - 3 for j." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is 0 + 0 + -1 - -7?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the nearest to -4 in -10/9, 0.4, -4?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "What is -50 (base 11) in base 14?" }, { "from": "gpt", "value": "-3d" } ]
[ { "from": "human", "value": "What is 84.78471 meters in kilometers?" }, { "from": "gpt", "value": "0.08478471" } ]
[ { "from": "human", "value": "Rearrange (-149*t + 8*t**2 + 149*t)*(-t**2 + 2*t**2 + 2*t**2) - 4*t**3 - 4*t**4 + 4*t**3 to the form y + n*t**4 + d*t**2 + f*t**3 + b*t and give n." }, { "from": "gpt", "value": "20" } ]
[ { "from": "human", "value": "What comes next: -1433, -1435, -1437, -1439, -1441?" }, { "from": "gpt", "value": "-1443" } ]
[ { "from": "human", "value": "Solve 0 = 3*l - 21*l + 36 for l." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is 311 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Calculate -329 + 2." }, { "from": "gpt", "value": "-327" } ]
[ { "from": "human", "value": "Suppose 0 = 5*w + 4*j - 63, j - 29 = 4*w - 92. Let u be -12*1/(-5)*w. Let 2 + 33*s**4 - 20*s**2 + 21*s**4 - 4*s**2 + 4*s - u*s**3 = 0. Calculate s." }, { "from": "gpt", "value": "-1/3, 1/3, 1" } ]
[ { "from": "human", "value": "Let g = 251160.60013 - 251159. Let t = g - 1.6. What is t rounded to 5 decimal places?" }, { "from": "gpt", "value": "0.00013" } ]
[ { "from": "human", "value": "1/5 + 5842/(-635)" }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "Let f(g) = g**2 - 13*g + 28. Let u be f(13). What is the greatest common factor of 112 and u?" }, { "from": "gpt", "value": "28" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -1.3 (b) -6 (c) -4" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the nearest to -0.1 in 0.5, 2, 17/3, 15?" }, { "from": "gpt", "value": "0.5" } ]
[ { "from": "human", "value": "What is the ninth root of 33102 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 2*s = 11 - 1. Suppose -4 - 11 = -3*t. Factor -4*i**2 - t*i + 5*i - 3*i - 2*i**3 + 4 + s*i." }, { "from": "gpt", "value": "-2*(i - 1)*(i + 1)*(i + 2)" } ]
[ { "from": "human", "value": "What is 0.00000469679825 rounded to six decimal places?" }, { "from": "gpt", "value": "5e-06" } ]
[ { "from": "human", "value": "Which is the second smallest value? (a) -4/5 (b) 52 (c) -5/4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the thousands digit of 28741?" }, { "from": "gpt", "value": "8" } ]
[ { "from": "human", "value": "Calculate (20163/2068)/(26/8)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Solve -5*s - 5*v = -15, -3*s - 4*v + 13 = v for s." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the a'th term of -111, -220, -329?" }, { "from": "gpt", "value": "-109*a - 2" } ]
[ { "from": "human", "value": "Solve 2*i - 8 = -4*r, -56*r = 3*i - 53*r - 12 for i." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let m(j) = 2*j**3 - 4*j**2 + 3*j + 4. Let c be m(3). Calculate the greatest common divisor of 217 and c." }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "(-3)/(-4)*(-308)/1617" }, { "from": "gpt", "value": "-1/7" } ]
[ { "from": "human", "value": "What is the w'th term of 1, -6, -13, -20?" }, { "from": "gpt", "value": "8 - 7*w" } ]
[ { "from": "human", "value": "What is 0.0959599l in millilitres?" }, { "from": "gpt", "value": "95.9599" } ]
[ { "from": "human", "value": "What is the value of (-10)/(-10)*11/66?" }, { "from": "gpt", "value": "1/6" } ]
[ { "from": "human", "value": "Let m be (-6)/10 - (-12)/20. Solve 0 = -2*r + 8 - m for r." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let q(i) = 3 - i**3. Let v be q(0). Solve 3*s + p + 9 = 0, 2*p - 3*p = -v for s." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve -2*a - 2 + 3 = -g, 0 = 2*a - 4*g + 2 for a." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Factor -l**5 + 155*l**4 - 154*l**3." }, { "from": "gpt", "value": "-l**3*(l - 154)*(l - 1)" } ]
[ { "from": "human", "value": "Let d(c) = -c**4 + c**3 - c. Let v(u) = 0*u**4 - 8 - 6*u**4 + u**3 + 7*u**3 + 6*u**2 - 12*u. Let r(b) = -4*d(b) + v(b). Suppose r(z) = 0. What is z?" }, { "from": "gpt", "value": "-1, 2" } ]
[ { "from": "human", "value": "-49825 divided by -5" }, { "from": "gpt", "value": "9965" } ]
[ { "from": "human", "value": "What is 32 (base 4) in base 9?" }, { "from": "gpt", "value": "15" } ]