conversations
listlengths 2
2
|
|---|
[
{
"from": "human",
"value": "What is the value of (6 - 1 - (-50 + 115)) + (-10 - 0 - -6)?"
},
{
"from": "gpt",
"value": "-64"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 41394 is divided by 17."
},
{
"from": "gpt",
"value": "16"
}
] |
[
{
"from": "human",
"value": "Let p = 4 + -2. Suppose -g - p*j - 4 = 0, 1 = -4*g - 4*j - 3. Suppose g*h - 136 = -2*h. Is h prime?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let u(i) = -4*i**3 + i**2 + 3*i - 2. What is u(2)?"
},
{
"from": "gpt",
"value": "-24"
}
] |
[
{
"from": "human",
"value": "Let r be (18/8)/((-12)/(-64)). Let k = 14 - r. Suppose k*l = -3*l + 225. Calculate the greatest common divisor of l and 5."
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "In base 3, what is -120022 + -11?"
},
{
"from": "gpt",
"value": "-120110"
}
] |
[
{
"from": "human",
"value": "Let l(k) = -12*k - 3. Does 31 divide l(-8)?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "In base 4, what is 101 - -2013?"
},
{
"from": "gpt",
"value": "2120"
}
] |
[
{
"from": "human",
"value": "Let i(v) be the first derivative of -3*v**2/2 - 9*v + 12. What is the remainder when 39 is divided by i(-10)?"
},
{
"from": "gpt",
"value": "18"
}
] |
[
{
"from": "human",
"value": "Suppose 2*y - 4 = 16. Suppose 0 = -v - v + y. Is v + 2 - (-4)/(-2) a multiple of 5?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Is 4991058887 a multiple of 634?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of -107, -221, -345, -479, -623?"
},
{
"from": "gpt",
"value": "-5*p**2 - 99*p - 3"
}
] |
[
{
"from": "human",
"value": "Solve 24*j - 24 = 48 for j."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the second derivative of 3167*g**2*x**3 + g**2 - 7*g*x - 27*g wrt x?"
},
{
"from": "gpt",
"value": "19002*g**2*x"
}
] |
[
{
"from": "human",
"value": "Evaluate (20/4 + -6)*-2."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 1816 is divided by 115?"
},
{
"from": "gpt",
"value": "91"
}
] |
[
{
"from": "human",
"value": "Solve -48*q + 54*q + 12 = 0 for q."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "Let m = 52 + -57. Which is the smallest value? (a) m (b) 0.7 (c) 0.5"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let c(o) = 1 - o. Let a be c(1). Let z = -1 - -3. Suppose -5*r - 2*k = -4, 0 = 2*r - k + z*k - 1. Solve -t + r - 1 = a for t."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Factor 4*w**2 + 334108*w - 15042960."
},
{
"from": "gpt",
"value": "4*(w - 45)*(w + 83572)"
}
] |
[
{
"from": "human",
"value": "Put together -4.22 and 0.3."
},
{
"from": "gpt",
"value": "-3.92"
}
] |
[
{
"from": "human",
"value": "Let p(v) be the third derivative of 1/54*v**4 + 0 - 1/270*v**6 + 0*v + 0*v**5 + 4*v**2 - 1/27*v**3 + 1/945*v**7. Factor p(r)."
},
{
"from": "gpt",
"value": "2*(r - 1)**3*(r + 1)/9"
}
] |
[
{
"from": "human",
"value": "Simplify -4*(sqrt(5) - sqrt(15)/sqrt(3))*-4."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the p'th term of -542, -536, -518, -482, -422, -332, -206, -38?"
},
{
"from": "gpt",
"value": "p**3 - p - 542"
}
] |
[
{
"from": "human",
"value": "Simplify ((d**(-4/3)/d)/(d*(d/((d**(-2/11)*d*d)/d))/d)*((d**(-2/5)*d*d)/d)/d**(1/3))**36 assuming d is positive."
},
{
"from": "gpt",
"value": "d**(-4452/55)"
}
] |
[
{
"from": "human",
"value": "Is 48 a factor of 142?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Simplify (-4*sqrt(560))/(2*sqrt(567))."
},
{
"from": "gpt",
"value": "-8*sqrt(5)/9"
}
] |
[
{
"from": "human",
"value": "Put together 12 and -0.2843."
},
{
"from": "gpt",
"value": "11.7157"
}
] |
[
{
"from": "human",
"value": "Solve -2*r + t - 3*t = -4, t - 2 = 3*r for r."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the product of -3.4 and -6?"
},
{
"from": "gpt",
"value": "20.4"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -2 + -4412?"
},
{
"from": "gpt",
"value": "-4414"
}
] |
[
{
"from": "human",
"value": "Which is smaller: -930 or -1859/2?"
},
{
"from": "gpt",
"value": "-930"
}
] |
[
{
"from": "human",
"value": "Round 0.00000066 to seven decimal places."
},
{
"from": "gpt",
"value": "7e-07"
}
] |
[
{
"from": "human",
"value": "Solve 374*y = 389*y + 105 for y."
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "What is d (base 15) in base 10?"
},
{
"from": "gpt",
"value": "13"
}
] |
[
{
"from": "human",
"value": "Product of -113 and -5."
},
{
"from": "gpt",
"value": "565"
}
] |
[
{
"from": "human",
"value": "12 times -1.7"
},
{
"from": "gpt",
"value": "-20.4"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(143) - (-2*sqrt(143) - sqrt(143)))*-1)/(sqrt(11) + (sqrt(22) + 2*sqrt(22))/sqrt(2))."
},
{
"from": "gpt",
"value": "-sqrt(13)"
}
] |
[
{
"from": "human",
"value": "Calculate the common denominator of -67/1611 and 55/17004."
},
{
"from": "gpt",
"value": "9131148"
}
] |
[
{
"from": "human",
"value": "What is -1788 divided by -447?"
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "What comes next: -700, -699, -686, -661?"
},
{
"from": "gpt",
"value": "-624"
}
] |
[
{
"from": "human",
"value": "What is -6 (base 8) in base 11?"
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "Calculate the remainder when 2135 is divided by 74."
},
{
"from": "gpt",
"value": "63"
}
] |
[
{
"from": "human",
"value": "Calculate prob of picking 3 n when three letters picked without replacement from nrrnnrrrnnnnnnnn."
},
{
"from": "gpt",
"value": "33/112"
}
] |
[
{
"from": "human",
"value": "How many months are there in 13/8 of a millennium?"
},
{
"from": "gpt",
"value": "19500"
}
] |
[
{
"from": "human",
"value": "Collect the terms in -9*y**3 + 3*y**3 + 13*y**3."
},
{
"from": "gpt",
"value": "7*y**3"
}
] |
[
{
"from": "human",
"value": "What comes next: 1077, 2151, 3225, 4299, 5373, 6447?"
},
{
"from": "gpt",
"value": "7521"
}
] |
[
{
"from": "human",
"value": "Let f = -8 + 12. Solve -f*u + 5 = u for u."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let q(l) = 4*l**2 - 21*l + 110. List the prime factors of q(16)."
},
{
"from": "gpt",
"value": "2, 3, 7, 19"
}
] |
[
{
"from": "human",
"value": "What is the units digit of 5/(125/(-10))*-25?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let o = -0.14 - -1.14. What is the biggest value in -2/3, o, -5/4?"
},
{
"from": "gpt",
"value": "o"
}
] |
[
{
"from": "human",
"value": "Factor 0*m**4 + 0 + 1/3*m**5 - m**3 + 0*m + 2/3*m**2."
},
{
"from": "gpt",
"value": "m**2*(m - 1)**2*(m + 2)/3"
}
] |
[
{
"from": "human",
"value": "Let m be 1 + -4 - (-7 + 6). Let u = -18 - -12. Which is smaller: u or m?"
},
{
"from": "gpt",
"value": "u"
}
] |
[
{
"from": "human",
"value": "Suppose -4*f - q + 2 = 0, -q - 10 = -2*f + 3*q. Let l(m) = -m**2 + m + 1. Let k be l(f). Suppose -b - k + 7 = 0. What is the remainder when 17 is divided by b?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Simplify sqrt(11) - 2*(1 + sqrt(11)) - ((sqrt(11) - sqrt(11)*2) + -1)."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let c(m) = 3*m**2 - 81*m - 7. Calculate the remainder when c(-15) is divided by 145."
},
{
"from": "gpt",
"value": "143"
}
] |
[
{
"from": "human",
"value": "Two letters picked without replacement from {s: 5, j: 1, f: 2, r: 1}. What is prob of picking 1 f and 1 r?"
},
{
"from": "gpt",
"value": "1/18"
}
] |
[
{
"from": "human",
"value": "What is the greatest common divisor of 2 and 9?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Sort 4, 316, 0, 2, 1 in descending order."
},
{
"from": "gpt",
"value": "316, 4, 2, 1, 0"
}
] |
[
{
"from": "human",
"value": "Does 78 divide 126407?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Is 32003 a composite number?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "What is 3902.64km in millimeters?"
},
{
"from": "gpt",
"value": "3902640000"
}
] |
[
{
"from": "human",
"value": "Suppose -72 = -4*z - 5*m, 0 = -0*z - z + m + 9. Let x be (-44)/8*(z + -1). Let f be 36/(-27)*x/4. Solve 3*i + 5*c = 2*i + 28, -f = -4*i - 2*c for i."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Suppose h - 29 = 3*j, -j + 77 = 4*h - 0*j. Solve -6*k - h = -k for k."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) 0 (b) -1/2 (c) -1/3 (d) -4"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Which is the nearest to -2/5? (a) 1 (b) 3 (c) 117"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is the closest to -1 in -0.4, -2, 2/15?"
},
{
"from": "gpt",
"value": "-0.4"
}
] |
[
{
"from": "human",
"value": "Is -0.198 at most as big as 3/4?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -4*n + 53 - 25 for n."
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "What are the prime factors of 130902?"
},
{
"from": "gpt",
"value": "2, 3, 21817"
}
] |
[
{
"from": "human",
"value": "Suppose -38*t + 8 = -36*t. Solve 5 = 3*b - t for b."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Let n(v) = 2*v**2 - v. Let q be n(3). What is the second smallest value in -2/7, q, 0?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What comes next: -2418, -4837, -7256, -9675, -12094?"
},
{
"from": "gpt",
"value": "-14513"
}
] |
[
{
"from": "human",
"value": "3 (base 15) to base 6"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the next term in -16, 15, 70, 155, 276, 439?"
},
{
"from": "gpt",
"value": "650"
}
] |
[
{
"from": "human",
"value": "What is -14155.7 rounded to the nearest one hundred?"
},
{
"from": "gpt",
"value": "-14200.0"
}
] |
[
{
"from": "human",
"value": "Let p(m) = -m. Let k(v) = -v. Let z(h) = -20*h. Let f(i) = -15*k(i) + z(i). Determine f(p(b))."
},
{
"from": "gpt",
"value": "5*b"
}
] |
[
{
"from": "human",
"value": "Collect the terms in 10*f + 13*f + 5*f + 6*f."
},
{
"from": "gpt",
"value": "34*f"
}
] |
[
{
"from": "human",
"value": "What is the next term in -65, -63, -67, -83, -117, -175, -263?"
},
{
"from": "gpt",
"value": "-387"
}
] |
[
{
"from": "human",
"value": "Let v(c) = -c**3 + 4*c**2 + 7*c - 2. Let r be v(5). Let q(b) = b**2 + 4. Let a be q(0). Solve -a*k - 4 = 0, -3*h + 6*h + r = -5*k for h."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Let h(j) = 9*j + 2. Suppose -25 = 5*c, -o - 2*c + 0*c - 8 = 0. Let a be h(o). Let m be (33/(-11))/((-3)/2). Solve a = -6*w + m*w for w."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let w = -286 - -84. Let g be w/(-18) - 6/27. Solve 3*r - 2 = -g for r."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -1043 + -1?"
},
{
"from": "gpt",
"value": "-1044"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-420)/75 - 6/(-10)) + -1."
},
{
"from": "gpt",
"value": "-6"
}
] |
[
{
"from": "human",
"value": "What is the value of (-8 - (9 - 9)) + 0 + 4?"
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let u = -3 + 3. Suppose -3*b + 2*b - 6 = -3*s, u = 5*s - b - 12. Solve 2*r - 3*r + s = 0 for r."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is the next term in -12410, -12411, -12412, -12413, -12414, -12415?"
},
{
"from": "gpt",
"value": "-12416"
}
] |
[
{
"from": "human",
"value": "7 - (5 - 2 - -6)"
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "0.4 * 64"
},
{
"from": "gpt",
"value": "25.6"
}
] |
[
{
"from": "human",
"value": "Do 61/22 and 4 have the same value?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Let f(j) = j**3 - 14*j**2 + 12*j + 9. Let q be f(13). Let k(o) = o**2 - o + 2. Let y(w) = -4*w**2 + 3*w - 8. Let h(v) = q*y(v) - 18*k(v). Factor h(c)."
},
{
"from": "gpt",
"value": "-2*(c - 2)*(c - 1)"
}
] |
[
{
"from": "human",
"value": "In base 11, what is -23 - 44?"
},
{
"from": "gpt",
"value": "-67"
}
] |
[
{
"from": "human",
"value": "How many grams are there in one twentieth of a kilogram?"
},
{
"from": "gpt",
"value": "50"
}
] |
[
{
"from": "human",
"value": "Let c(d) = -d**2. Let b be c(-1). Let l be b - -4*1/1. Find the third derivative of 3*k**2 + 2*k**2 - k**2 - 4*k**l + 0*k**2 wrt k."
},
{
"from": "gpt",
"value": "-24"
}
] |
[
{
"from": "human",
"value": "Work out 0.4 * -0.69."
},
{
"from": "gpt",
"value": "-0.276"
}
] |
[
{
"from": "human",
"value": "Let u = -442975335/16 - -27669635. Let m = -16318 - u. What is the common denominator of m and (2/(-20))/(18/1695)?"
},
{
"from": "gpt",
"value": "48"
}
] |
[
{
"from": "human",
"value": "Solve -5*s + 5 = 5*l, 3*l = -11*s + 6*s - 1 for s."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 429 minutes before 7:13 AM?"
},
{
"from": "gpt",
"value": "12:04 AM"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -2/11 in -0.5, 0.2, -20?"
},
{
"from": "gpt",
"value": "-0.5"
}
] |
[
{
"from": "human",
"value": "Multiply -0.013 and -3."
},
{
"from": "gpt",
"value": "0.039"
}
] |
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