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[ { "from": "human", "value": "Let w(m) = -m**2 - 9*m - 10. Let r be w(-7). Let p be (-1)/((-2)/r) + 3. Factor 2 + 6*x**2 - p*x + 6*x + 5*x + 2*x**3." }, { "from": "gpt", "value": "2*(x + 1)**3" } ]
[ { "from": "human", "value": "How many grams are there in 49967.76 milligrams?" }, { "from": "gpt", "value": "49.96776" } ]
[ { "from": "human", "value": "Determine v, given that -4*v**5 - v**4 + 28*v**3 + 31*v**2 + 6*v = 0." }, { "from": "gpt", "value": "-2, -1, -1/4, 0, 3" } ]
[ { "from": "human", "value": "What is prob of sequence fx when two letters picked without replacement from xkfkprk?" }, { "from": "gpt", "value": "1/42" } ]
[ { "from": "human", "value": "What is the derivative of 5*b**2*z**2 - 2*b**2 - 5*b*z**2 + 389*z**2 wrt b?" }, { "from": "gpt", "value": "10*b*z**2 - 4*b - 5*z**2" } ]
[ { "from": "human", "value": "Let m = -9 + 15. Suppose -4*h + 3*x + x = -12, 2*x - m = -h. Suppose 0 = 7*w - h*w - 6. Solve -j - 4*a = -5*j, -a = -w for j." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "What is the hundreds digit of 7131?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Is 23157146587 composite?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is 15545 a prime number?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Which is the nearest to -2? (a) 0.2 (b) 7 (c) -2/11" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let v(j) = 2*j**3 - 4*j**2 + 2*j + 1. Let u be v(2). Suppose 0 = -4*l + 11 - 7. Let n = -3 + 1. Put l, u, n in ascending order." }, { "from": "gpt", "value": "n, l, u" } ]
[ { "from": "human", "value": "What is the next term in -79, -78, -85, -106, -147, -214, -313?" }, { "from": "gpt", "value": "-450" } ]
[ { "from": "human", "value": "What is -1.841 times 0?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "Calculate -2 + 318184." }, { "from": "gpt", "value": "318182" } ]
[ { "from": "human", "value": "-15 * 254" }, { "from": "gpt", "value": "-3810" } ]
[ { "from": "human", "value": "Convert 1 (base 10) to base 3." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is 1136 to the power of 1/2, to the nearest integer?" }, { "from": "gpt", "value": "34" } ]
[ { "from": "human", "value": "What are the prime factors of 623?" }, { "from": "gpt", "value": "7, 89" } ]
[ { "from": "human", "value": "Let t be 2/(-5) + 2/5. Suppose t = 2*h - 15 - 11. Suppose 0 = 5*k + g - 264, -470 + 194 = -5*k - 4*g. Calculate the greatest common divisor of h and k." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Let q(m) = 2 - m + 5*m**2 + 7*m**2 - 3 - 5*m**2. What is the tens digit of q(2)?" }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Solve -5*z = 2*w - 23, 5*w - 20 = -0*z - 5*z for z." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Calculate the greatest common divisor of 1781 and 416." }, { "from": "gpt", "value": "13" } ]
[ { "from": "human", "value": "Let v(d) = -d**2 + 8*d - 7. Let u be v(6). Suppose t = -3 + 6. Determine f, given that -12*f**4 + f**3 - f**5 + 8*f**u + 2*f**t + 2*f**2 = 0." }, { "from": "gpt", "value": "-2/7, 0, 1" } ]
[ { "from": "human", "value": "Suppose 2*s + 0*s + 20 = 5*u, u - 17 = 3*s. Let i(a) = a**2 - 2*a - 3. Let x = 9 + -5. Let n be i(x). Solve -n = -u*p + 3 for p." }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "What is ((420/(-266))/(-15))/(-1)?" }, { "from": "gpt", "value": "-2/19" } ]
[ { "from": "human", "value": "Solve 152*y = 181*y - 174 for y." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Solve 3 = -m + 5*r - 19, -4*m = -2*r + 16 for m." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Let g(y) = y + 5. Let z be g(-3). Suppose -3*s + 5*u + 42 = 0, -z*s + 43 = -4*u + 15. Is s prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let c = 17 - 13. Let k(t) be the second derivative of 0*t**3 + 0*t**5 + 3*t - 1/15*t**6 - t**2 + 0 + 1/3*t**c. Suppose k(v) = 0. What is v?" }, { "from": "gpt", "value": "-1, 1" } ]
[ { "from": "human", "value": "Find the second derivative of 44*d**2*n*p**3 + 4*d**2*n + 2*d*n*p**3 + 6*d*n*p**2 + 2*d*n - 3*n*p**2 wrt d." }, { "from": "gpt", "value": "88*n*p**3 + 8*n" } ]
[ { "from": "human", "value": "((-24)/(-28))/6*(-3)/3" }, { "from": "gpt", "value": "-1/7" } ]
[ { "from": "human", "value": "What is ((-4)/(-4))/(3/(-1))?" }, { "from": "gpt", "value": "-1/3" } ]
[ { "from": "human", "value": "Evaluate 12 - ((5 - 6) + 3)." }, { "from": "gpt", "value": "10" } ]
[ { "from": "human", "value": "Express 0 - 2 + 2 + 6*k as z*k + j and give z." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "Calculate 12 - (3 - (8 - 10))." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "In base 2, what is 11 + -100001011?" }, { "from": "gpt", "value": "-100001000" } ]
[ { "from": "human", "value": "Which is the third smallest value? (a) -5 (b) -1 (c) -3.2 (d) 4 (e) -1/8" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Convert 43 (base 14) to base 4." }, { "from": "gpt", "value": "323" } ]
[ { "from": "human", "value": "What is the l'th term of -35, -70, -109, -152, -199?" }, { "from": "gpt", "value": "-2*l**2 - 29*l - 4" } ]
[ { "from": "human", "value": "Let d(w) = 3*w - 5. Let t(s) = 5 - 4*s. Let v(m) = -7*d(m) - 6*t(m). Let h(z) = 2*z. Determine h(v(u))." }, { "from": "gpt", "value": "6*u + 10" } ]
[ { "from": "human", "value": "Is 1735937 prime?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Let h(s) be the second derivative of -s**5/15 - s**3/3 + s**2 - s. Let m(d) be the first derivative of h(d). What is the derivative of m(l) wrt l?" }, { "from": "gpt", "value": "-8*l" } ]
[ { "from": "human", "value": "What are the prime factors of 11384001?" }, { "from": "gpt", "value": "3, 1264889" } ]
[ { "from": "human", "value": "Suppose -d = 3*p - 8, 3*p + 1 = 4*p. Suppose d = 4*y - 7. Factor 4*t + 0*t**3 + 3*t**y + 4*t**2 - 2*t**3." }, { "from": "gpt", "value": "t*(t + 2)**2" } ]
[ { "from": "human", "value": "Solve 0 = -4*r - 5*v + 45, -2*r + 6*r - 5*v = -5 for r." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let y(q) = q**3 + 5*q**2 + 4*q + 3. Let j be y(-2). Let x be (-40)/(-18) + 4/(-18). Solve j = x*r + 17 for r." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Let a = -5 - -2. Let z(s) = s**3 + 3*s**2 - s - 3. Let i be z(a). Which is smaller: 1/26 or i?" }, { "from": "gpt", "value": "i" } ]
[ { "from": "human", "value": "Evaluate 18/(-81) + 6/27 + 2." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Simplify (sqrt(66) - 4*(sqrt(66) - (sqrt(66)*3 + sqrt(66))))/((sqrt(66) + -1*sqrt(66) + sqrt(66))/sqrt(11))." }, { "from": "gpt", "value": "13*sqrt(11)" } ]
[ { "from": "human", "value": "Which is smaller: -2087 or -16695/8?" }, { "from": "gpt", "value": "-2087" } ]
[ { "from": "human", "value": "What is 6173 to the power of 1/5, to the nearest integer?" }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is the smallest common multiple of 11 and 66?" }, { "from": "gpt", "value": "66" } ]
[ { "from": "human", "value": "What is the tens digit of (3 - 6) + 18*1?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose -4*j = -3*c + 3 - 5, -j = 4*c - 10. Suppose 0 = r + p - 6*p + 16, 5*r = -j*p + 1. What is the units digit of r/(3 - 30/9)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Factor -d**3/4 + 49*d**2 - 2193*d - 20808." }, { "from": "gpt", "value": "-(d - 102)**2*(d + 8)/4" } ]
[ { "from": "human", "value": "What is next in -139, -153, -177, -211, -255, -309, -373?" }, { "from": "gpt", "value": "-447" } ]
[ { "from": "human", "value": "What is the fourth biggest value in 2, 5, -4, 0.184?" }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose -q + 5 = -6*q. Let x(o) = -9*o**3 - 8*o. Let m(k) = k**3 + k. Let v(j) = q*x(j) - 3*m(j). Find the second derivative of v(c) wrt c." }, { "from": "gpt", "value": "36*c" } ]
[ { "from": "human", "value": "Let f(n) = -2*n - 4. Let w be f(-4). Suppose w*d + 8 = 8*d. Solve -7*s + 4*t + 2 = -5*s, d*t = -s - 7 for s." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "Let z = 1.1 - -3.9. Let m = 4.6 - z. Let j = m + 0.3. Is -0.1 at most j?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 0.6 minus -0.05?" }, { "from": "gpt", "value": "0.65" } ]
[ { "from": "human", "value": "Divide -15294 by 6." }, { "from": "gpt", "value": "-2549" } ]
[ { "from": "human", "value": "What is the next term in -33, -36, -55, -96, -165?" }, { "from": "gpt", "value": "-268" } ]
[ { "from": "human", "value": "Solve 0 = -3*k + s - 15, -15 = -40*s + 35*s for k." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Sum 0.5 and 6436." }, { "from": "gpt", "value": "6436.5" } ]
[ { "from": "human", "value": "Simplify -1*(sqrt(19) - (1*sqrt(95) - sqrt(95))/sqrt(5))*2." }, { "from": "gpt", "value": "-2*sqrt(19)" } ]
[ { "from": "human", "value": "Let g(m) = 64*m**2 + 32*m. Let v(i) = i**2. Let s(t) = g(t) - 12*v(t). Find the second derivative of s(z) wrt z." }, { "from": "gpt", "value": "104" } ]
[ { "from": "human", "value": "-206 times 1.6" }, { "from": "gpt", "value": "-329.6" } ]
[ { "from": "human", "value": "Let a = -13 - -25. Suppose -a = -28*c + 27*c. Suppose -c = -3*q + 3. Solve 5*r + q*w + 50 = 0, -2*r = -3*r + w for r." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Suppose 2*v - 10 = -i, i + 9 = 4*i - v. What is the greatest common factor of i and 44?" }, { "from": "gpt", "value": "4" } ]
[ { "from": "human", "value": "Calculate 977881 - 0.2." }, { "from": "gpt", "value": "977880.8" } ]
[ { "from": "human", "value": "What is the second biggest value in -17, -9, 3?" }, { "from": "gpt", "value": "-9" } ]
[ { "from": "human", "value": "What is 0.447 rounded to 2 dps?" }, { "from": "gpt", "value": "0.45" } ]
[ { "from": "human", "value": "((-94116)/(-29946))/(3/((-126)/(-4)))" }, { "from": "gpt", "value": "33" } ]
[ { "from": "human", "value": "Let b(m) = -11*m**2. Let y(z) = 3*z. Let g(k) be the second derivative of k**3/6 - 35*k. Let i(p) = 17*g(p) - 6*y(p). Determine b(i(o))." }, { "from": "gpt", "value": "-11*o**2" } ]
[ { "from": "human", "value": "Let r(p) = 6 - 5*p. Let c = 1 + -7. Is r(c) a multiple of 20?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Simplify sqrt(14)/(sqrt(28) - sqrt(7)) + 2 + sqrt(18)." }, { "from": "gpt", "value": "2 + 4*sqrt(2)" } ]
[ { "from": "human", "value": "What is the square root of 31400 to the nearest integer?" }, { "from": "gpt", "value": "177" } ]
[ { "from": "human", "value": "What is the nearest to 4 in 1, -2/7, -0.3?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let u = 43 + -39. What is the nearest to -0.2 in 0, 1/6, u?" }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the second derivative of -h**3*v**2 + 9*h**3 + 134*v**3 - 22*v wrt v?" }, { "from": "gpt", "value": "-2*h**3 + 804*v" } ]
[ { "from": "human", "value": "Find the third derivative of 2687*s**6 - 37*s**3 - 2483*s**2 - 38*s wrt s." }, { "from": "gpt", "value": "322440*s**3 - 222" } ]
[ { "from": "human", "value": "What is the second smallest value in 2, -4, -1/3, -0.4, 10?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Calculate 301 - -144." }, { "from": "gpt", "value": "445" } ]
[ { "from": "human", "value": "Which is the closest to -5? (a) -15 (b) 4 (c) 0.1" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Suppose 3*h - 3 = -0. Let t = h + 2. Suppose -3*u - 2*u + 20 = 0. Solve n - t = u*n for n." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "What is the third derivative of -c**4*f**2 + 48*c**3*f**3*p**2 + c**2*f**3 + c*f**3*p**2 + 48*p**2 wrt c?" }, { "from": "gpt", "value": "-24*c*f**2 + 288*f**3*p**2" } ]
[ { "from": "human", "value": "Let b(g) = g**2 + 13*g - 10. Let d be b(-14). Put -0.2, 2/7, d, -2/9 in increasing order." }, { "from": "gpt", "value": "-2/9, -0.2, 2/7, d" } ]
[ { "from": "human", "value": "Find f such that -2*f**3 - 2*f**2 + 8*f + 8 = 0." }, { "from": "gpt", "value": "-2, -1, 2" } ]
[ { "from": "human", "value": "Let j(s) = 5*s - 7. Let i be j(5). Let x = 0 + i. Suppose -x = -5*q + 22. Is q a multiple of 8?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Round 55424152 to the nearest ten thousand." }, { "from": "gpt", "value": "55420000.0" } ]
[ { "from": "human", "value": "Suppose -5*k = 2*f - 20, -5*k + 19 = 3*f - 6. Let z = f + -2. Suppose z*m + 3*g = -0*g + 78, 2*g - 114 = -4*m. Is m prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is the common denominator of -35/8301 and -86/21?" }, { "from": "gpt", "value": "58107" } ]
[ { "from": "human", "value": "Solve 5*b = -g - 13, 27*g + 16 = 23*g - 2*b for g." }, { "from": "gpt", "value": "-3" } ]
[ { "from": "human", "value": "What is the second smallest value in 2, -4, -1/3, -0.4, 10?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Work out 0.101 * 0.049." }, { "from": "gpt", "value": "0.004949" } ]
[ { "from": "human", "value": "Let g = -2 + 3. Let h(k) = -g + 9*k + 0 + 11*k. What is the tens digit of h(1)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let n = -2 - -4. Suppose 0 = 7*v - n*v. Suppose v = 2*y + 2*y. Solve m = 2*f + 7 - 0, -5*m - 15 = y for f." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "In base 10, what is 390 - 1?" }, { "from": "gpt", "value": "389" } ]
[ { "from": "human", "value": "Which is the closest to 0.2? (a) -4 (b) 3/5 (c) 9" }, { "from": "gpt", "value": "b" } ]