amehta633/math · Datasets at Hugging Face

conversations listlengths 2 2
[ { "from": "human", "value": "Let f(c) = 24c3 - 21c*2 - 21c. Let r(s) be the second derivative of s5/20 - s4/12 - s*3/6 + 8s. What is -2f(b) + 42r(b)?" }, { "from": "gpt", "value": "-6b*3" } ]
[ { "from": "human", "value": "Let z(s) = s*2 - 26s + 50. What is z(19)?" }, { "from": "gpt", "value": "-83" } ]
[ { "from": "human", "value": "Let v(r) = r*2 + 5r - 1. Determine v(-5)." }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Suppose 68 = 5n - n. Suppose -10d - n = -11*d. Is d a multiple of 17?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "What is 0.3 less than -0.2094?" }, { "from": "gpt", "value": "-0.5094" } ]
[ { "from": "human", "value": "What is the q'th term of 229, 268, 307, 346, 385?" }, { "from": "gpt", "value": "39*q + 190" } ]
[ { "from": "human", "value": "What is next in -138, -134, -126, -114, -98?" }, { "from": "gpt", "value": "-78" } ]
[ { "from": "human", "value": "Solve 66 = 115p - 126p for p." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Solve 0 = -3044m + 3046m - 10 for m." }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let i = 11 - 3. Let j = 3 - i. Let z be -2 + -1 - j - 3. Is z greater than -1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "What is -4 + 2 + (6 - (0 - -5))?" }, { "from": "gpt", "value": "-1" } ]
[ { "from": "human", "value": "Let n = 24 + -22. Calculate the lowest common multiple of 3 and n." }, { "from": "gpt", "value": "6" } ]
[ { "from": "human", "value": "What is 307.07 times -1?" }, { "from": "gpt", "value": "-307.07" } ]
[ { "from": "human", "value": "Simplify (sqrt(243) - (sqrt(243) + -1 + 1) - (sqrt(243) + -1 + sqrt(243) + 4))*2." }, { "from": "gpt", "value": "108sqrt(3) + 981" } ]
[ { "from": "human", "value": "Let m = -22 + 25. Suppose -2k = mk. Factor kg - 2/9g*2 + 0." }, { "from": "gpt", "value": "-2g**2/9" } ]
[ { "from": "human", "value": "What is 13424 + 0.6?" }, { "from": "gpt", "value": "13424.6" } ]
[ { "from": "human", "value": "What is the t'th term of -10, -47, -84, -121, -158, -195?" }, { "from": "gpt", "value": "27 - 37*t" } ]
[ { "from": "human", "value": "How many months are there in six fifths of a century?" }, { "from": "gpt", "value": "1440" } ]
[ { "from": "human", "value": "Let h(q) = -14q2 + 7q + 11. Let f(v) = -7v2 + 3v + 6. Let d(n) = 11f(n) - 6h(n). Find the second derivative of d(c) wrt c." }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Is 4327 prime?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "In base 16, what is -1f - 343?" }, { "from": "gpt", "value": "-362" } ]
[ { "from": "human", "value": "Determine w so that 3w4/5 - 786w*3/5 - 3w*2/5 + 786w/5 = 0." }, { "from": "gpt", "value": "-1, 0, 1, 262" } ]
[ { "from": "human", "value": "In base 2, what is 1 + -10000100?" }, { "from": "gpt", "value": "-10000011" } ]
[ { "from": "human", "value": "What is (-60)/105 - 39/(-7)?" }, { "from": "gpt", "value": "5" } ]
[ { "from": "human", "value": "Let l(h) = -3h2 + 2h + 1. Let z be (-2 - -1) + (13 - 12). Let n(t) be the first derivative of -1/3t3 + 1/2t*2 + 2 + zt. Determine -l(d) + 2n(d)." }, { "from": "gpt", "value": "d*2 - 1" } ]
[ { "from": "human", "value": "Let u(i) = 5i2 + 9i - 7. Let g(l) = -11l2 - 19l + 15. Let r(d) = 4g(d) + 9u(d). Let k be r(-6). Solve k*a - 8 = 1 for a." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Let v = 1150/119 + -66/7. Let p = -54/85 + v. Let o be (-8 + 2)*2/(-6). Which is the closest to p? (a) o (b) -1 (c) -4" }, { "from": "gpt", "value": "b" } ]
[ { "from": "human", "value": "Find r, given that 15r2 - 2845r/3 + 210 = 0." }, { "from": "gpt", "value": "2/9, 63" } ]
[ { "from": "human", "value": "Suppose -4 = -26a + 48. Solve -5h = j - 3h + 7, aj + 3*h = -13 for j." }, { "from": "gpt", "value": "-5" } ]
[ { "from": "human", "value": "Calculate (-23)/(33810/(-224)) + 6/(-21)." }, { "from": "gpt", "value": "-2/15" } ]
[ { "from": "human", "value": "What is the next term in -51, -103, -155, -207, -259, -311?" }, { "from": "gpt", "value": "-363" } ]
[ { "from": "human", "value": "Let i(v) = 12v - 2. Let y(x) = 35x - 6. Let p(t) = -8i(t) + 3y(t). What is the derivative of p(f) wrt f?" }, { "from": "gpt", "value": "9" } ]
[ { "from": "human", "value": "Calculate the remainder when 143 is divided by 21." }, { "from": "gpt", "value": "17" } ]
[ { "from": "human", "value": "Simplify -4 + 6(sqrt(2736)1 - sqrt(2736))**2." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Evaluate -2 + (3 + 0 - 7) + -2." }, { "from": "gpt", "value": "-8" } ]
[ { "from": "human", "value": "Solve 21l = 2l for l." }, { "from": "gpt", "value": "0" } ]
[ { "from": "human", "value": "What is the third root of 279705 to the nearest integer?" }, { "from": "gpt", "value": "65" } ]
[ { "from": "human", "value": "Is 70619 composite?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Solve 0 = 24d - 28d - 4h - 4, 3d - h = -15 for d." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Solve 49 = -416f + 423f for f." }, { "from": "gpt", "value": "7" } ]
[ { "from": "human", "value": "Let u be -3 + ((-14)/(-2) - 1). Let m be (-6)/9 - (-5)/u. Suppose -2*k - m = -37. List the prime factors of k." }, { "from": "gpt", "value": "2, 3" } ]
[ { "from": "human", "value": "Calculate -0.02*-18." }, { "from": "gpt", "value": "0.36" } ]
[ { "from": "human", "value": "Let v = -7 + 12. List the prime factors of 43/v - 8/(-20)." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Evaluate (16/(-10))/81-15." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "Suppose 2s5 + 8s*4 + 12s*3 + 8s*2 + 2s = 0. What is s?" }, { "from": "gpt", "value": "-1, 0" } ]
[ { "from": "human", "value": "Let f be (-3364)/(-1681) - (0 - -2). Let r = -129449/10086 + f. Calculate the common denominator of 2 - -1*(-62)/16 and r." }, { "from": "gpt", "value": "24" } ]
[ { "from": "human", "value": "What is -2 (base 4) in base 3?" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Simplify -3(sqrt(1539) - (sqrt(1539) + (-4sqrt(1539) + sqrt(1539))5) - ((sqrt(1539) + 3 + -5 - sqrt(1539)) + sqrt(1539) + sqrt(1539)))2." }, { "from": "gpt", "value": "-780285 - 1404sqrt(19)" } ]
[ { "from": "human", "value": "Suppose -26 = d - 4d - 4m, -d + 22 = 4m. Let w = -493/2 + 247. Factor 1/2i + 1/2 - 1/2i3 - wi*d." }, { "from": "gpt", "value": "-(i - 1)(i + 1)**2/2" } ]
[ { "from": "human", "value": "Let b = 0.07 - 5.07. Let h = 3 + -3.3. What is the second smallest value in h, b, -2/11?" }, { "from": "gpt", "value": "h" } ]
[ { "from": "human", "value": "What is -0.58588 plus 0.01?" }, { "from": "gpt", "value": "-0.57588" } ]
[ { "from": "human", "value": "Let y = -0.0562 - -2.0562. Let v = -7/12 + 1/3. Let l = 0.3 - -0.2. Which is the nearest to y? (a) l (b) 5 (c) v" }, { "from": "gpt", "value": "a" } ]
[ { "from": "human", "value": "Let r(b) = b*3 + 6b - 1. Let a be 18/5 - (-10)/25. What is the remainder when r(a) is divided by 22?" }, { "from": "gpt", "value": "21" } ]
[ { "from": "human", "value": "What is the next term in -56682, -56679, -56666, -56637, -56586, -56507, -56394?" }, { "from": "gpt", "value": "-56241" } ]
[ { "from": "human", "value": "Let x = -126 + 8440/67. Let t = x + -124/335. What is the closest to t in -3, 5, -0.1?" }, { "from": "gpt", "value": "-0.1" } ]
[ { "from": "human", "value": "-2 (base 12) to base 6" }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Is -3674/9 < -1/6?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Is -7/330300007 at most -1?" }, { "from": "gpt", "value": "False" } ]
[ { "from": "human", "value": "Simplify (sqrt(5600)-3)/sqrt(8)." }, { "from": "gpt", "value": "-30sqrt(7)" } ]
[ { "from": "human", "value": "Solve -d - 2 = -5f, -3d - f + 80 = 86 for d." }, { "from": "gpt", "value": "-2" } ]
[ { "from": "human", "value": "Simplify sqrt(2450) - (2sqrt(72))2." }, { "from": "gpt", "value": "-288 + 35sqrt(2)" } ]
[ { "from": "human", "value": "Rearrange -5 - 8 - 80n2 + 78n*2 + 0n*2 + 2n2 + n2 + (2 - 5 + 5)(n2 + 2n*2 - 2n*2) to the form vn*2 + g + rn and give v." }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the o'th term of -89, -60, 11, 142, 351?" }, { "from": "gpt", "value": "3o3 + 3o**2 - o - 94" } ]
[ { "from": "human", "value": "16986 divided by -894" }, { "from": "gpt", "value": "-19" } ]
[ { "from": "human", "value": "What is the j'th term of 62, 105, 136, 155, 162?" }, { "from": "gpt", "value": "-6j2 + 61j + 7" } ]
[ { "from": "human", "value": "How many minutes are there between 5:56 AM and 5:45 PM?" }, { "from": "gpt", "value": "709" } ]
[ { "from": "human", "value": "What is the nearest to -0.1 in -5, -1, 3, -0.4?" }, { "from": "gpt", "value": "-0.4" } ]
[ { "from": "human", "value": "Calculate -4 + -9 + 6 - (1 + -2)." }, { "from": "gpt", "value": "-6" } ]
[ { "from": "human", "value": "Is -4/1803 <= 0?" }, { "from": "gpt", "value": "True" } ]
[ { "from": "human", "value": "Multiply -22.3 and -18." }, { "from": "gpt", "value": "401.4" } ]
[ { "from": "human", "value": "What is the third root of 28233 to the nearest integer?" }, { "from": "gpt", "value": "30" } ]
[ { "from": "human", "value": "-1 + 4 + (-5 - (-9 - -6))" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Suppose 2*i - 20 = 6. Calculate the remainder when i is divided by 6." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "What is the first derivative of -6m2y + 40m2 + my*2 - my + 15m wrt y?" }, { "from": "gpt", "value": "-6m*2 + 2m*y - m" } ]
[ { "from": "human", "value": "Solve -1 - 7 = -8*u for u." }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Simplify 43-1sqrt(3)." }, { "from": "gpt", "value": "-12sqrt(3)" } ]
[ { "from": "human", "value": "What is the nearest to 1 in -10, 3, -4/7, 2/7?" }, { "from": "gpt", "value": "2/7" } ]
[ { "from": "human", "value": "Subtract 24 from -211." }, { "from": "gpt", "value": "-235" } ]
[ { "from": "human", "value": "What is (-3)/(-8 + 10 + -3)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is the n'th term of 548, 545, 540, 533, 524?" }, { "from": "gpt", "value": "549 - n**2" } ]
[ { "from": "human", "value": "What is the value of 3 + -6 - (9 - 15)?" }, { "from": "gpt", "value": "3" } ]
[ { "from": "human", "value": "What is 503 minutes before 7:37 AM?" }, { "from": "gpt", "value": "11:14 PM" } ]
[ { "from": "human", "value": "Simplify (-2(1 + sqrt(245)) + sqrt(245))2." }, { "from": "gpt", "value": "28sqrt(5) + 249" } ]
[ { "from": "human", "value": "Let a(k) be the second derivative of k*6/21 - 9k5/70 - k4/21 + 7k. Factor a(s)." }, { "from": "gpt", "value": "2s*2(s - 2)(5s + 1)/7" } ]
[ { "from": "human", "value": "What is the first derivative of -49v3 - 13v + 634?" }, { "from": "gpt", "value": "-147v*2 - 13" } ]
[ { "from": "human", "value": "Work out 1 * -105." }, { "from": "gpt", "value": "-105" } ]
[ { "from": "human", "value": "What is the remainder when 78 is divided by 32?" }, { "from": "gpt", "value": "14" } ]
[ { "from": "human", "value": "Simplify (a/((a/((aa0)/a))/a))32/(a0)(1/14) assuming a is positive." }, { "from": "gpt", "value": "a*32" } ]
[ { "from": "human", "value": "Find the second derivative of 5j2r*2 - 25j*2 + jr - 12j - 21r*2 wrt j." }, { "from": "gpt", "value": "10r**2 - 50" } ]
[ { "from": "human", "value": "Factor 2i3/3 + 732i*2 + 200200i - 1210000/3." }, { "from": "gpt", "value": "2(i - 2)(i + 550)**2/3" } ]
[ { "from": "human", "value": "What is -3 - (-7 + -2 + 5)?" }, { "from": "gpt", "value": "1" } ]
[ { "from": "human", "value": "Let j = 4.2 - -1.8. Let a = -1306.018 + 1312. Let t = j - a. Round t to 2 decimal places." }, { "from": "gpt", "value": "0.02" } ]
[ { "from": "human", "value": "Calculate (2*2/(-48))/((-25)/40)." }, { "from": "gpt", "value": "2/15" } ]
[ { "from": "human", "value": "What is -4536653 minus 0.2?" }, { "from": "gpt", "value": "-4536653.2" } ]
[ { "from": "human", "value": "Product of 0.012 and 0.3." }, { "from": "gpt", "value": "0.0036" } ]
[ { "from": "human", "value": "Let y = 0 + 0. Suppose 0 = 3s - 3a, -4s - 2a = -ya. Suppose 2w + 3c - 12 - 1 = s, -2 = 2c. List the prime factors of w." }, { "from": "gpt", "value": "2" } ]
[ { "from": "human", "value": "Let x = -2 - -3. Let i = 0.28 - 4.28. Let z = -1/4 - 1/4. Which is the second smallest value? (a) i (b) x (c) z" }, { "from": "gpt", "value": "c" } ]
[ { "from": "human", "value": "Let f(c) = c*2 + c - 5. Let a be f(-4). Suppose -2g - 4 = -12. Suppose -z - 4 = gp - 1, z - 2p - 9 = 0. Solve -a = h + 4j - zj, h - 2*j + 10 = 0 for h." }, { "from": "gpt", "value": "-4" } ]
[ { "from": "human", "value": "Suppose -4l + 15 = -5v, 0 = 2l - 4l - 4v + 14. Factor -1/5k*2 - 3/5k*4 - 1/5k*l + 0k - 3/5k3 + 0." }, { "from": "gpt", "value": "-k2(k + 1)**3/5" } ]
[ { "from": "human", "value": "What is the o'th term of 622, 624, 628, 634, 642, 652?" }, { "from": "gpt", "value": "o**2 - o + 622" } ]

[ { "from": "human", "value": "Let f(c) = 24*c**3 - 21*c**2 - 21*c. Let r(s) be the second derivative of s**5/20 - s**4/12 - s**3/6 + 8*s. What is -2*f(b) + 42*r(b)?" }, { "from": "gpt", "value": "-6*b**3" } ]

[ { "from": "human", "value": "Let z(s) = s**2 - 26*s + 50. What is z(19)?" }, { "from": "gpt", "value": "-83" } ]

[ { "from": "human", "value": "Let v(r) = r**2 + 5*r - 1. Determine v(-5)." }, { "from": "gpt", "value": "-1" } ]

[ { "from": "human", "value": "Suppose 68 = 5*n - n. Suppose -10*d - n = -11*d. Is d a multiple of 17?" }, { "from": "gpt", "value": "True" } ]

[ { "from": "human", "value": "What is 0.3 less than -0.2094?" }, { "from": "gpt", "value": "-0.5094" } ]

[ { "from": "human", "value": "What is the q'th term of 229, 268, 307, 346, 385?" }, { "from": "gpt", "value": "39*q + 190" } ]

[ { "from": "human", "value": "What is next in -138, -134, -126, -114, -98?" }, { "from": "gpt", "value": "-78" } ]

[ { "from": "human", "value": "Solve 66 = 115*p - 126*p for p." }, { "from": "gpt", "value": "-6" } ]

[ { "from": "human", "value": "Solve 0 = -3044*m + 3046*m - 10 for m." }, { "from": "gpt", "value": "5" } ]

[ { "from": "human", "value": "Let i = 11 - 3. Let j = 3 - i. Let z be -2 + -1 - j - 3. Is z greater than -1?" }, { "from": "gpt", "value": "False" } ]

[ { "from": "human", "value": "What is -4 + 2 + (6 - (0 - -5))?" }, { "from": "gpt", "value": "-1" } ]

[ { "from": "human", "value": "Let n = 24 + -22. Calculate the lowest common multiple of 3 and n." }, { "from": "gpt", "value": "6" } ]

[ { "from": "human", "value": "What is 307.07 times -1?" }, { "from": "gpt", "value": "-307.07" } ]

[ { "from": "human", "value": "Simplify (sqrt(243) - (sqrt(243) + -1 + 1) - (sqrt(243) + -1 + sqrt(243) + 4))**2." }, { "from": "gpt", "value": "108*sqrt(3) + 981" } ]

[ { "from": "human", "value": "Let m = -22 + 25. Suppose -2*k = m*k. Factor k*g - 2/9*g**2 + 0." }, { "from": "gpt", "value": "-2*g**2/9" } ]

[ { "from": "human", "value": "What is 13424 + 0.6?" }, { "from": "gpt", "value": "13424.6" } ]

[ { "from": "human", "value": "What is the t'th term of -10, -47, -84, -121, -158, -195?" }, { "from": "gpt", "value": "27 - 37*t" } ]

[ { "from": "human", "value": "How many months are there in six fifths of a century?" }, { "from": "gpt", "value": "1440" } ]

[ { "from": "human", "value": "Let h(q) = -14*q**2 + 7*q + 11. Let f(v) = -7*v**2 + 3*v + 6. Let d(n) = 11*f(n) - 6*h(n). Find the second derivative of d(c) wrt c." }, { "from": "gpt", "value": "14" } ]

[ { "from": "human", "value": "Is 4327 prime?" }, { "from": "gpt", "value": "True" } ]

[ { "from": "human", "value": "In base 16, what is -1f - 343?" }, { "from": "gpt", "value": "-362" } ]

[ { "from": "human", "value": "Determine w so that 3*w**4/5 - 786*w**3/5 - 3*w**2/5 + 786*w/5 = 0." }, { "from": "gpt", "value": "-1, 0, 1, 262" } ]

[ { "from": "human", "value": "In base 2, what is 1 + -10000100?" }, { "from": "gpt", "value": "-10000011" } ]

[ { "from": "human", "value": "What is (-60)/105 - 39/(-7)?" }, { "from": "gpt", "value": "5" } ]

[ { "from": "human", "value": "Let l(h) = -3*h**2 + 2*h + 1. Let z be (-2 - -1) + (13 - 12). Let n(t) be the first derivative of -1/3*t**3 + 1/2*t**2 + 2 + z*t. Determine -l(d) + 2*n(d)." }, { "from": "gpt", "value": "d**2 - 1" } ]

[ { "from": "human", "value": "Let u(i) = 5*i**2 + 9*i - 7. Let g(l) = -11*l**2 - 19*l + 15. Let r(d) = 4*g(d) + 9*u(d). Let k be r(-6). Solve k*a - 8 = 1 for a." }, { "from": "gpt", "value": "3" } ]

[ { "from": "human", "value": "Let v = 1150/119 + -66/7. Let p = -54/85 + v. Let o be (-8 + 2)*2/(-6). Which is the closest to p? (a) o (b) -1 (c) -4" }, { "from": "gpt", "value": "b" } ]

[ { "from": "human", "value": "Find r, given that 15*r**2 - 2845*r/3 + 210 = 0." }, { "from": "gpt", "value": "2/9, 63" } ]

[ { "from": "human", "value": "Suppose -4 = -26*a + 48. Solve -5*h = j - 3*h + 7, a*j + 3*h = -13 for j." }, { "from": "gpt", "value": "-5" } ]

[ { "from": "human", "value": "Calculate (-23)/(33810/(-224)) + 6/(-21)." }, { "from": "gpt", "value": "-2/15" } ]

[ { "from": "human", "value": "What is the next term in -51, -103, -155, -207, -259, -311?" }, { "from": "gpt", "value": "-363" } ]

[ { "from": "human", "value": "Let i(v) = 12*v - 2. Let y(x) = 35*x - 6. Let p(t) = -8*i(t) + 3*y(t). What is the derivative of p(f) wrt f?" }, { "from": "gpt", "value": "9" } ]

[ { "from": "human", "value": "Calculate the remainder when 143 is divided by 21." }, { "from": "gpt", "value": "17" } ]

[ { "from": "human", "value": "Simplify -4 + 6*(sqrt(2736)*1 - sqrt(2736))**2." }, { "from": "gpt", "value": "-4" } ]

[ { "from": "human", "value": "Evaluate -2 + (3 + 0 - 7) + -2." }, { "from": "gpt", "value": "-8" } ]

[ { "from": "human", "value": "Solve 21*l = 2*l for l." }, { "from": "gpt", "value": "0" } ]

[ { "from": "human", "value": "What is the third root of 279705 to the nearest integer?" }, { "from": "gpt", "value": "65" } ]

[ { "from": "human", "value": "Is 70619 composite?" }, { "from": "gpt", "value": "False" } ]

[ { "from": "human", "value": "Solve 0 = 24*d - 28*d - 4*h - 4, 3*d - h = -15 for d." }, { "from": "gpt", "value": "-4" } ]

[ { "from": "human", "value": "Solve 49 = -416*f + 423*f for f." }, { "from": "gpt", "value": "7" } ]

[ { "from": "human", "value": "Let u be -3 + ((-14)/(-2) - 1). Let m be (-6)/9 - (-5)/u. Suppose -2*k - m = -37. List the prime factors of k." }, { "from": "gpt", "value": "2, 3" } ]

[ { "from": "human", "value": "Calculate -0.02*-18." }, { "from": "gpt", "value": "0.36" } ]

[ { "from": "human", "value": "Let v = -7 + 12. List the prime factors of 43/v - 8/(-20)." }, { "from": "gpt", "value": "3" } ]

[ { "from": "human", "value": "Evaluate (16/(-10))/8*1*-15." }, { "from": "gpt", "value": "3" } ]

[ { "from": "human", "value": "Suppose 2*s**5 + 8*s**4 + 12*s**3 + 8*s**2 + 2*s = 0. What is s?" }, { "from": "gpt", "value": "-1, 0" } ]

[ { "from": "human", "value": "Let f be (-3364)/(-1681) - (0 - -2). Let r = -129449/10086 + f. Calculate the common denominator of 2 - -1*(-62)/16 and r." }, { "from": "gpt", "value": "24" } ]

[ { "from": "human", "value": "What is -2 (base 4) in base 3?" }, { "from": "gpt", "value": "-2" } ]

[ { "from": "human", "value": "Simplify -3*(sqrt(1539) - (sqrt(1539) + (-4*sqrt(1539) + sqrt(1539))*5) - ((sqrt(1539) + 3 + -5 - sqrt(1539)) + sqrt(1539) + sqrt(1539)))**2." }, { "from": "gpt", "value": "-780285 - 1404*sqrt(19)" } ]

[ { "from": "human", "value": "Suppose -26 = d - 4*d - 4*m, -d + 22 = 4*m. Let w = -493/2 + 247. Factor 1/2*i + 1/2 - 1/2*i**3 - w*i**d." }, { "from": "gpt", "value": "-(i - 1)*(i + 1)**2/2" } ]

[ { "from": "human", "value": "Let b = 0.07 - 5.07. Let h = 3 + -3.3. What is the second smallest value in h, b, -2/11?" }, { "from": "gpt", "value": "h" } ]

[ { "from": "human", "value": "What is -0.58588 plus 0.01?" }, { "from": "gpt", "value": "-0.57588" } ]

[ { "from": "human", "value": "Let y = -0.0562 - -2.0562. Let v = -7/12 + 1/3. Let l = 0.3 - -0.2. Which is the nearest to y? (a) l (b) 5 (c) v" }, { "from": "gpt", "value": "a" } ]

[ { "from": "human", "value": "Let r(b) = b**3 + 6*b - 1. Let a be 18/5 - (-10)/25. What is the remainder when r(a) is divided by 22?" }, { "from": "gpt", "value": "21" } ]

[ { "from": "human", "value": "What is the next term in -56682, -56679, -56666, -56637, -56586, -56507, -56394?" }, { "from": "gpt", "value": "-56241" } ]

[ { "from": "human", "value": "Let x = -126 + 8440/67. Let t = x + -124/335. What is the closest to t in -3, 5, -0.1?" }, { "from": "gpt", "value": "-0.1" } ]

[ { "from": "human", "value": "-2 (base 12) to base 6" }, { "from": "gpt", "value": "-2" } ]

[ { "from": "human", "value": "Is -3674/9 < -1/6?" }, { "from": "gpt", "value": "True" } ]

[ { "from": "human", "value": "Is -7/330300007 at most -1?" }, { "from": "gpt", "value": "False" } ]

[ { "from": "human", "value": "Simplify (sqrt(5600)*-3)/sqrt(8)." }, { "from": "gpt", "value": "-30*sqrt(7)" } ]

[ { "from": "human", "value": "Solve -d - 2 = -5*f, -3*d - f + 80 = 86 for d." }, { "from": "gpt", "value": "-2" } ]

[ { "from": "human", "value": "Simplify sqrt(2450) - (2*sqrt(72))**2." }, { "from": "gpt", "value": "-288 + 35*sqrt(2)" } ]

[ { "from": "human", "value": "Rearrange -5 - 8 - 80*n**2 + 78*n**2 + 0*n**2 + 2*n**2 + n**2 + (2 - 5 + 5)*(n**2 + 2*n**2 - 2*n**2) to the form v*n**2 + g + r*n and give v." }, { "from": "gpt", "value": "3" } ]

[ { "from": "human", "value": "What is the o'th term of -89, -60, 11, 142, 351?" }, { "from": "gpt", "value": "3*o**3 + 3*o**2 - o - 94" } ]

[ { "from": "human", "value": "16986 divided by -894" }, { "from": "gpt", "value": "-19" } ]

[ { "from": "human", "value": "What is the j'th term of 62, 105, 136, 155, 162?" }, { "from": "gpt", "value": "-6*j**2 + 61*j + 7" } ]

[ { "from": "human", "value": "How many minutes are there between 5:56 AM and 5:45 PM?" }, { "from": "gpt", "value": "709" } ]

[ { "from": "human", "value": "What is the nearest to -0.1 in -5, -1, 3, -0.4?" }, { "from": "gpt", "value": "-0.4" } ]

[ { "from": "human", "value": "Calculate -4 + -9 + 6 - (1 + -2)." }, { "from": "gpt", "value": "-6" } ]

[ { "from": "human", "value": "Is -4/1803 <= 0?" }, { "from": "gpt", "value": "True" } ]

[ { "from": "human", "value": "Multiply -22.3 and -18." }, { "from": "gpt", "value": "401.4" } ]

[ { "from": "human", "value": "What is the third root of 28233 to the nearest integer?" }, { "from": "gpt", "value": "30" } ]

[ { "from": "human", "value": "-1 + 4 + (-5 - (-9 - -6))" }, { "from": "gpt", "value": "1" } ]

[ { "from": "human", "value": "Suppose 2*i - 20 = 6. Calculate the remainder when i is divided by 6." }, { "from": "gpt", "value": "1" } ]

[ { "from": "human", "value": "What is the first derivative of -6*m**2*y + 40*m**2 + m*y**2 - m*y + 15*m wrt y?" }, { "from": "gpt", "value": "-6*m**2 + 2*m*y - m" } ]

[ { "from": "human", "value": "Solve -1 - 7 = -8*u for u." }, { "from": "gpt", "value": "1" } ]

[ { "from": "human", "value": "Simplify 4*3*-1*sqrt(3)." }, { "from": "gpt", "value": "-12*sqrt(3)" } ]

[ { "from": "human", "value": "What is the nearest to 1 in -10, 3, -4/7, 2/7?" }, { "from": "gpt", "value": "2/7" } ]

[ { "from": "human", "value": "Subtract 24 from -211." }, { "from": "gpt", "value": "-235" } ]

[ { "from": "human", "value": "What is (-3)/(-8 + 10 + -3)?" }, { "from": "gpt", "value": "3" } ]

[ { "from": "human", "value": "What is the n'th term of 548, 545, 540, 533, 524?" }, { "from": "gpt", "value": "549 - n**2" } ]

[ { "from": "human", "value": "What is the value of 3 + -6 - (9 - 15)?" }, { "from": "gpt", "value": "3" } ]

[ { "from": "human", "value": "What is 503 minutes before 7:37 AM?" }, { "from": "gpt", "value": "11:14 PM" } ]

[ { "from": "human", "value": "Simplify (-2*(1 + sqrt(245)) + sqrt(245))**2." }, { "from": "gpt", "value": "28*sqrt(5) + 249" } ]

[ { "from": "human", "value": "Let a(k) be the second derivative of k**6/21 - 9*k**5/70 - k**4/21 + 7*k. Factor a(s)." }, { "from": "gpt", "value": "2*s**2*(s - 2)*(5*s + 1)/7" } ]

[ { "from": "human", "value": "What is the first derivative of -49*v**3 - 13*v + 634?" }, { "from": "gpt", "value": "-147*v**2 - 13" } ]

[ { "from": "human", "value": "Work out 1 * -105." }, { "from": "gpt", "value": "-105" } ]

[ { "from": "human", "value": "What is the remainder when 78 is divided by 32?" }, { "from": "gpt", "value": "14" } ]

[ { "from": "human", "value": "Simplify (a/((a/((a*a**0)/a))/a))**32/(a**0)**(1/14) assuming a is positive." }, { "from": "gpt", "value": "a**32" } ]

[ { "from": "human", "value": "Find the second derivative of 5*j**2*r**2 - 25*j**2 + j*r - 12*j - 21*r**2 wrt j." }, { "from": "gpt", "value": "10*r**2 - 50" } ]

[ { "from": "human", "value": "Factor 2*i**3/3 + 732*i**2 + 200200*i - 1210000/3." }, { "from": "gpt", "value": "2*(i - 2)*(i + 550)**2/3" } ]

[ { "from": "human", "value": "What is -3 - (-7 + -2 + 5)?" }, { "from": "gpt", "value": "1" } ]

[ { "from": "human", "value": "Let j = 4.2 - -1.8. Let a = -1306.018 + 1312. Let t = j - a. Round t to 2 decimal places." }, { "from": "gpt", "value": "0.02" } ]

[ { "from": "human", "value": "Calculate (2*2/(-48))/((-25)/40)." }, { "from": "gpt", "value": "2/15" } ]

[ { "from": "human", "value": "What is -4536653 minus 0.2?" }, { "from": "gpt", "value": "-4536653.2" } ]

[ { "from": "human", "value": "Product of 0.012 and 0.3." }, { "from": "gpt", "value": "0.0036" } ]

[ { "from": "human", "value": "Let y = 0 + 0. Suppose 0 = 3*s - 3*a, -4*s - 2*a = -y*a. Suppose 2*w + 3*c - 12 - 1 = s, -2 = 2*c. List the prime factors of w." }, { "from": "gpt", "value": "2" } ]

[ { "from": "human", "value": "Let x = -2 - -3. Let i = 0.28 - 4.28. Let z = -1/4 - 1/4. Which is the second smallest value? (a) i (b) x (c) z" }, { "from": "gpt", "value": "c" } ]

[ { "from": "human", "value": "Let f(c) = c**2 + c - 5. Let a be f(-4). Suppose -2*g - 4 = -12. Suppose -z - 4 = g*p - 1, z - 2*p - 9 = 0. Solve -a = h + 4*j - z*j, h - 2*j + 10 = 0 for h." }, { "from": "gpt", "value": "-4" } ]

[ { "from": "human", "value": "Suppose -4*l + 15 = -5*v, 0 = 2*l - 4*l - 4*v + 14. Factor -1/5*k**2 - 3/5*k**4 - 1/5*k**l + 0*k - 3/5*k**3 + 0." }, { "from": "gpt", "value": "-k**2*(k + 1)**3/5" } ]

[ { "from": "human", "value": "What is the o'th term of 622, 624, 628, 634, 642, 652?" }, { "from": "gpt", "value": "o**2 - o + 622" } ]