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math

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[ { "from": "human", "value": "Let n(p) = p**3 - 2*p + 1. Let o be n(-2). Which is smaller: -15/8 or o?" }, { "from": "gpt", "value": "o" } ]
[ { "from": "human", "value": "Solve -4*s + 5*s = -4 for s." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Simplify (sqrt(228) + 1*sqrt(228)*-5)/(sqrt(768)*-1)." }, { "from": "gpt", "value": "sqrt(19)/2" } ]
[ { "from": "human", "value": "Does 82 divide 10325?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let d be (0 - 1)*(1 + -2). Suppose 0 = 3*n - 2*y + 14, 2*y = -5*n + 11 - 29. Let c be -1 - n*1*d. Solve c*b = b - 10 for b." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "-223*0.59" }, { "from": "gpt", "value": "-131.57" } ]
[ { "from": "human", "value": "What is the next term in 769, 771, 773, 775, 777, 779?" }, { "from": "gpt", "value": "781" } ]
[ { "from": "human", "value": "Let w = -111 + 68. Let h = w + 43. Suppose -168 = -5*y - 4*l, -138 = -h*y - 4*y - 5*l. Does 8 divide y?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 2*h**2/3 + 604*h/3 + 45602/3 = 0. Calculate h." }, { "from": "gpt", "value": "-151" } ]
[ { "from": "human", "value": "Divide 5834 by -1." }, { "from": "gpt", "value": "-5834" } ]
[ { "from": "human", "value": "Solve 0 = 2*q - 8*q + 30 for q." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let p(t) = 2*t - 3. Let y be p(4). Suppose -w + 0*w + 4 = 0, 2*k - 2*w = 0. Solve -y*r + 1 = -k for r." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let o = 122 + -121. Which is the closest to o? (a) -0.1 (b) 5 (c) 37" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is the third root of 3686 to the nearest integer?" }, { "from": "gpt", "value": "15" } ]
[ { "from": "human", "value": "Let d = 36 - 24. Let h be -2 + d/2 - -1. Sort -3, 0, h." }, { "from": "gpt", "value": "-3, 0, h" } ]
[ { "from": "human", "value": "Solve 11*v + 0 = -11 for v." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the second derivative of 272*p**5 - 2*p + 42 wrt p?" }, { "from": "gpt", "value": "5440*p**3" } ]
[ { "from": "human", "value": "Let w be 60/(-84) + 4/(-14). What is the nearest to w in -2/9, -4, 0.5?" }, { "from": "gpt", "value": "-2/9" } ]
[ { "from": "human", "value": "-113 divided by -3" }, { "from": "gpt", "value": "113/3" } ]
[ { "from": "human", "value": "Let g = -13 - -10. Which is the nearest to -0.3? (a) 1 (b) -0.3 (c) g" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "In base 8, what is -4 + -72?" }, { "from": "gpt", "value": "-76" } ]
[ { "from": "human", "value": "Find the second derivative of 262*z**4 - 9*z - 2." }, { "from": "gpt", "value": "3144*z**2" } ]
[ { "from": "human", "value": "How many grams are there in 427.6277 kilograms?" }, { "from": "gpt", "value": "427627.7" } ]
[ { "from": "human", "value": "Simplify (1 + (sqrt(152)/(-1*sqrt(968) + sqrt(968) - sqrt(8)) + (sqrt(209)*-1*6)/sqrt(11))*-3)**2." }, { "from": "gpt", "value": "42*sqrt(19) + 8380" } ]
[ { "from": "human", "value": "Let c = -48 - -50. Solve 6*f = c*f for f." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the product of -0.09 and 519?" }, { "from": "gpt", "value": "-46.71" } ]
[ { "from": "human", "value": "Let y = 2 + -2. Let u = 0.27 + -0.07. Let l = -0.3 + -0.2. What is the biggest value in u, l, y?" }, { "from": "gpt", "value": "u" } ]
[ { "from": "human", "value": "Let x be ((-6)/(-8))/(7/28). Solve 0 = -a + x*a - 8, 16 = -4*o + 5*a for o." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let i(m) = 3*m + 2. Let r(a) = -15*a - 11. Let j(n) = 11*i(n) + 2*r(n). Let s be j(7). Solve -4*d + 4*l = 4, 14 + s = -5*d - 5*l for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Convert 2 (base 15) to base 13." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let d(b) = -2*b**2 - 8*b + 25. Let r be d(-6). Sort -9, -1, -3, r in decreasing order." }, { "from": "gpt", "value": "r, -1, -3, -9" } ]
[ { "from": "human", "value": "Solve -3*y + 3*y = 3*y for y." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -1143 = -4*v - 1115 for v." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "-3.8*-41" }, { "from": "gpt", "value": "155.8" } ]
[ { "from": "human", "value": "What is the square root of 10748 to the nearest integer?" }, { "from": "gpt", "value": "104" } ]
[ { "from": "human", "value": "Let k = -9 - -46/5. Let w = 3.4 - -11.1. Let u = w - 14. Which is the third smallest value? (a) u (b) 3/4 (c) k" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "What is the smallest value in -0.2, 6/11, 0.2, 76256?" }, { "from": "gpt", "value": "-0.2" } ]
[ { "from": "human", "value": "Solve 7*d - 5*q = -1, -14*q + 10*q - 19 = d for d." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Solve 3*n = 3*v, 2*v - 4*n = -5*n + 3 for v." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let k(y) = -4*y**2 - 5*y - 7. Let p(o) = 2*o**2 + 2*o + 3. Calculate 2*k(m) + 5*p(m)." }, { "from": "gpt", "value": "2*m**2 + 1" } ]
[ { "from": "human", "value": "Is 261167 a composite number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Find the second derivative of 7319*h**2 - 6383*h wrt h." }, { "from": "gpt", "value": "14638" } ]
[ { "from": "human", "value": "What is the smallest common multiple of 2928 and 2276337?" }, { "from": "gpt", "value": "36421392" } ]
[ { "from": "human", "value": "What is -14 divided by -22?" }, { "from": "gpt", "value": "7/11" } ]
[ { "from": "human", "value": "Expand (161*f + 149*f - 63*f)*(-5*f + 5*f - 2*f)*(-5*f**2 + 0*f**2 + 3*f**2)." }, { "from": "gpt", "value": "988*f**4" } ]
[ { "from": "human", "value": "Let j(o) be the third derivative of o**8/28 - o**5/6 + o**2. What is the third derivative of j(x) wrt x?" }, { "from": "gpt", "value": "720*x**2" } ]
[ { "from": "human", "value": "Factor -501*f - 19652 - 6*f**3 + 2*f**3 - 1117*f - 204*f**2 - 1850*f." }, { "from": "gpt", "value": "-4*(f + 17)**3" } ]
[ { "from": "human", "value": "What is -12 divided by 1100?" }, { "from": "gpt", "value": "-3/275" } ]
[ { "from": "human", "value": "Sort 28/5, 12, -2/7." }, { "from": "gpt", "value": "-2/7, 28/5, 12" } ]
[ { "from": "human", "value": "Calculate the common denominator of 149/6 and 127/110." }, { "from": "gpt", "value": "330" } ]
[ { "from": "human", "value": "What is 0.1226399s in nanoseconds?" }, { "from": "gpt", "value": "122639900" } ]
[ { "from": "human", "value": "What comes next: 507, 1021, 1535, 2049, 2563, 3077?" }, { "from": "gpt", "value": "3591" } ]
[ { "from": "human", "value": "Solve -1 = 11*c - 45 for c." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Suppose -10 + 1 = -3*a. Let k(r) = 17 - r. Let d be k(11). Let q be (a/d*-2)/(-1). Is q < 0?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Factor -3*l**2 + 9277881*l - 27833616." }, { "from": "gpt", "value": "-3*(l - 3092624)*(l - 3)" } ]
[ { "from": "human", "value": "Let o be (4/(-10))/(3/(-45)). Let j(m) = -m**3 - 14*m**2 - 2*m - 29. Let t be j(-14). Let x(w) = -w. Let g(h) = 2 - 5*h. Give o*x(p) + t*g(p)." }, { "from": "gpt", "value": "-p - 2" } ]
[ { "from": "human", "value": "Let w(v) = 2*v**3 - 3*v**2 + 2*v - 4. Let o be w(3). Suppose -5*l + a + o = 0, -l + 25 = 3*l + a. Solve y = l*y for y." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Solve -41 = 3*d - 26 for d." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose -2*r + 2 = 5*s, -3*s - 4 = -0*r - 4*r. Solve -r = -q + 2 for q." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose -11*k - 4*o + 28 = -8*k, 2*o + 42 = 2*k. Solve -k = -28*c + 20*c for c." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Find q such that -8*q**3/3 - 18*q**2 - 82*q/3 + 8 = 0." }, { "from": "gpt", "value": "-4, -3, 1/4" } ]
[ { "from": "human", "value": "Divide -134 by 1." }, { "from": "gpt", "value": "-134" } ]
[ { "from": "human", "value": "Factor -c**3 - 163*c**2 + 164*c." }, { "from": "gpt", "value": "-c*(c - 1)*(c + 164)" } ]
[ { "from": "human", "value": "Solve -5*a - 3*m = -29, 3*a + a = -2*m + 22 for a." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Let v(b) be the third derivative of -b**8/588 - 2*b**7/735 + b**6/105 + 2*b**5/105 - b**4/42 - 2*b**3/21 - 5*b**2. Factor v(z)." }, { "from": "gpt", "value": "-4*(z - 1)**2*(z + 1)**3/7" } ]
[ { "from": "human", "value": "Let z be ((-205)/20)/(1/8). Let g = 121 + z. What are the prime factors of g?" }, { "from": "gpt", "value": "3, 13" } ]
[ { "from": "human", "value": "Suppose 2*x + 0*x - 6 = 0. Let b(w) = w**3 - w**2 - 4*w - 1. Let f be b(x). Solve -16 = f*v - j, -2*v + 8 = -7*v + 3*j for v." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "List the prime factors of 27376." }, { "from": "gpt", "value": "2, 29, 59" } ]
[ { "from": "human", "value": "Let h be (-1)/(-3) - 20/(-3). Let d = -7 + h. Solve -5*g = 2*w - 6, d*g = -w + 3*g - 8 for w." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let l = -1 - 9. Find the common denominator of (-5)/((-1020)/2016) + (-6 + 2 - 3) and 306/40 + 4/l." }, { "from": "gpt", "value": "68" } ]
[ { "from": "human", "value": "Which is the closest to 1? (a) -1/2 (b) -0.7 (c) -2/9" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "-0.0813 times 11" }, { "from": "gpt", "value": "-0.8943" } ]
[ { "from": "human", "value": "Suppose -14 = -2*c + c + 4*z, -4*c = 4*z + 24. Let u = 3/8 - -7/24. Is c smaller than u?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Which is the closest to -1? (a) 12/11 (b) 4 (c) 2/25 (d) -1/3" }, { "from": "gpt", "value": "d" } ]
[ { "from": "human", "value": "Simplify (-4 + sqrt(7) + sqrt(175) + 2 + sqrt(175))*6 + ((sqrt(7) + sqrt(7) + 3 + -4)*-4 + 5)**2." }, { "from": "gpt", "value": "517 - 78*sqrt(7)" } ]
[ { "from": "human", "value": "Suppose 3*q = -2*n + 5, 3*q - 17 = -0*q + 4*n. Let r be 3*2/12*12/(-2). Let y = r + q. Is y at most 1?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Suppose 4*i + 4*d - 20 = -0*d, -4*d = 2*i - 16. Let h(q) = -6*q**2 + 2*q**i + 3*q**3 - 5 - 4*q**3 + 4*q. Let n be h(-5). Which is smaller: n or 1/10?" }, { "from": "gpt", "value": "n" } ]
[ { "from": "human", "value": "Let m be ((-145592)/10)/(8/(-100)). Suppose 2*i - m = 2*d, -d - i = d + 182005. Round d to the nearest ten thousand." }, { "from": "gpt", "value": "-90000.0" } ]
[ { "from": "human", "value": "Convert 172.25718us to minutes." }, { "from": "gpt", "value": "0.000002870953" } ]
[ { "from": "human", "value": "Which is the smallest value? (a) 16 (b) -4 (c) -352" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "What is the next term in -11, -18, -27, -32, -27, -6, 37, 108?" }, { "from": "gpt", "value": "213" } ]
[ { "from": "human", "value": "Let k(r) = -r. Let y be k(-4). Let t = -35 - -36. Which is the second biggest value? (a) -0.4 (b) y (c) t" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let o(u) = -5*u - 7. Let j be o(-4). Solve -j = 4*w - 33 for w." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Round 0.001786 to 4 decimal places." }, { "from": "gpt", "value": "0.0018" } ]
[ { "from": "human", "value": "What comes next: -1022, -2047, -3072, -4097?" }, { "from": "gpt", "value": "-5122" } ]
[ { "from": "human", "value": "Divide 804 by 3." }, { "from": "gpt", "value": "268" } ]
[ { "from": "human", "value": "What is the ninth root of 5274 to the nearest integer?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is three tenths of a minute in seconds?" }, { "from": "gpt", "value": "18" } ]
[ { "from": "human", "value": "What is the v'th term of 0, -18, -36, -54, -72, -90?" }, { "from": "gpt", "value": "18 - 18*v" } ]
[ { "from": "human", "value": "Is 1764 a multiple of 28?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is one fifth of a gram in milligrams?" }, { "from": "gpt", "value": "200" } ]
[ { "from": "human", "value": "Let f(t) be the third derivative of t**7/560 + 3*t**6/80 + 27*t**5/80 + 27*t**4/16 + 81*t**3/16 - 9*t**2. Factor f(q)." }, { "from": "gpt", "value": "3*(q + 3)**4/8" } ]
[ { "from": "human", "value": "Let p = -5 + 10. Suppose -p*b = -29 - 1. Suppose 0*y - b = -y. What is the units digit of y?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Which is greater: -508 or 1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let u = 3 - 4. Let i = 12 + -7. Let w = 2.1 - 2. Which is the nearest to u? (a) w (b) i (c) 4" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What is 30530 to the power of 1/3, to the nearest integer?" }, { "from": "gpt", "value": "31" } ]
[ { "from": "human", "value": "(9/18)/(-1*(-1)/(-2))" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Calculate the remainder when 177 is divided by 20." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Which is the closest to 1? (a) 6/23 (b) -2 (c) 18" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "What are the prime factors of 3149?" }, { "from": "gpt", "value": "47, 67" } ]