conversations listlengths 2 2 |
|---|
[
{
"from": "human",
"value": "Let n = 16 - 22. Let f = 61 + n. Calculate the highest common divisor of 22 and f."
},
{
"from": "gpt",
"value": "11"
}
] |
[
{
"from": "human",
"value": "Let x(h) = -h**2 - 2*h + 5. Let f be x(-5). Let t be 24/f*22/8. Let i = -32/5 - t. Which is the second biggest value? (a) -0.1 (b) 4 (c) i"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "0 divided by -46"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Let h = -57/11 + 5. Which is the second smallest value? (a) 0.5 (b) h (c) 1"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "What is 0.0000008496 rounded to seven decimal places?"
},
{
"from": "gpt",
"value": "8e-07"
}
] |
[
{
"from": "human",
"value": "In base 2, what is -1001 - -11010001111?"
},
{
"from": "gpt",
"value": "11010000110"
}
] |
[
{
"from": "human",
"value": "Simplify -5 + (-2*(sqrt(19) - (sqrt(19) - sqrt(171)) - sqrt(19))**2 - (sqrt(19) - (-1*sqrt(1539))**2))."
},
{
"from": "gpt",
"value": "1382 - sqrt(19)"
}
] |
[
{
"from": "human",
"value": "What is the nearest to -0.1 in -26, -0.4, 0.28?"
},
{
"from": "gpt",
"value": "-0.4"
}
] |
[
{
"from": "human",
"value": "What comes next: 9, 29, 73, 153, 281?"
},
{
"from": "gpt",
"value": "469"
}
] |
[
{
"from": "human",
"value": "What comes next: 31, 31, 19, -11, -65, -149, -269, -431?"
},
{
"from": "gpt",
"value": "-641"
}
] |
[
{
"from": "human",
"value": "What is 3 + 6 + -4 + -2?"
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-18)/3 - -17) + -11."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "Which is the biggest value? (a) -1274 (b) 0.3 (c) -2 (d) 2"
},
{
"from": "gpt",
"value": "d"
}
] |
[
{
"from": "human",
"value": "What is -0.01 take away 5.427?"
},
{
"from": "gpt",
"value": "-5.437"
}
] |
[
{
"from": "human",
"value": "In base 7, what is -5 - -201?"
},
{
"from": "gpt",
"value": "163"
}
] |
[
{
"from": "human",
"value": "What is the value of 0 - (-12 - (5 - 10))?"
},
{
"from": "gpt",
"value": "7"
}
] |
[
{
"from": "human",
"value": "Find the common denominator of -61/28 and 37/1812."
},
{
"from": "gpt",
"value": "12684"
}
] |
[
{
"from": "human",
"value": "Evaluate 6 - (7 + -5) - 6."
},
{
"from": "gpt",
"value": "-2"
}
] |
[
{
"from": "human",
"value": "What is 563 to the power of 1/2, to the nearest integer?"
},
{
"from": "gpt",
"value": "24"
}
] |
[
{
"from": "human",
"value": "What is the next term in 102, 110, 130, 168, 230, 322, 450, 620?"
},
{
"from": "gpt",
"value": "838"
}
] |
[
{
"from": "human",
"value": "List the prime factors of 33337."
},
{
"from": "gpt",
"value": "17, 37, 53"
}
] |
[
{
"from": "human",
"value": "Is 8255 a multiple of 127?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Put together 3.6 and 17.6."
},
{
"from": "gpt",
"value": "21.2"
}
] |
[
{
"from": "human",
"value": "Is (-23485)/(-9) - (-48)/(-108) prime?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "What comes next: 1165, 1168, 1171, 1174?"
},
{
"from": "gpt",
"value": "1177"
}
] |
[
{
"from": "human",
"value": "What is the value of 3 + -1 - (-4 + 9)?"
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "Suppose 72 = -4*q + 2*i, -q - 32 = q - 2*i. Let v = -7 - q. What is the remainder when v is divided by 7?"
},
{
"from": "gpt",
"value": "6"
}
] |
[
{
"from": "human",
"value": "Let n = 0.29 + 13.71. Let a = n - 13.35. Let k = a - 0.23. What is k rounded to 1 dp?"
},
{
"from": "gpt",
"value": "0.4"
}
] |
[
{
"from": "human",
"value": "Suppose 5*c + 4*k = 52, -5*k - 13 = -c + 9. Solve -m = 2*m + c for m."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is next in -17, -30, -65, -134, -249, -422?"
},
{
"from": "gpt",
"value": "-665"
}
] |
[
{
"from": "human",
"value": "Let y be (-6 + (-30)/(-8))*-4. Solve -4*q - 20 = -y*q, -3*q + 16 = 2*w for w."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Solve 180 = -27*g - 9*g for g."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Solve 0 = -2*b + r - 14, 0 = 2*b - 12*r + 15*r - 2 for b."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Let l(w) be the first derivative of w**2/2 + 4*w + 8. Let s be l(-2). Solve 0 = -4*j + 5*t - 11, -2*t - 7 = s*j - 3*t for j."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Let l(p) = -p**3 + 4*p**2 - p - 2. Suppose 5 = 5*s - 5. Let b be l(s). Suppose 0 = -3*a + 5 + 10. Solve 5 = -a*m + 5*g, g = b*g for m."
},
{
"from": "gpt",
"value": "-1"
}
] |
[
{
"from": "human",
"value": "Convert 2 (base 12) to base 10."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "(-40)/(-72)*1908/62540"
},
{
"from": "gpt",
"value": "1/59"
}
] |
[
{
"from": "human",
"value": "0.8 * -56"
},
{
"from": "gpt",
"value": "-44.8"
}
] |
[
{
"from": "human",
"value": "What is the second biggest value in 1, 4/9, 3/11, -2/11, 0?"
},
{
"from": "gpt",
"value": "4/9"
}
] |
[
{
"from": "human",
"value": "What is the first derivative of 16791*p**2 - 806 wrt p?"
},
{
"from": "gpt",
"value": "33582*p"
}
] |
[
{
"from": "human",
"value": "Suppose -5*o - 9 = -8*o. Let h(b) be the first derivative of 5/6*b**2 - 1/15*b**5 + 2/3*b - 1/12*b**4 - 2 + 1/3*b**o. Determine p so that h(p) = 0."
},
{
"from": "gpt",
"value": "-1, 2"
}
] |
[
{
"from": "human",
"value": "What is the remainder when 3845 is divided by 70?"
},
{
"from": "gpt",
"value": "65"
}
] |
[
{
"from": "human",
"value": "Let z(v) be the first derivative of v**7/168 - v**5/40 + v**3/24 + 5*v - 3. Let x(s) be the first derivative of z(s). Factor x(i)."
},
{
"from": "gpt",
"value": "i*(i - 1)**2*(i + 1)**2/4"
}
] |
[
{
"from": "human",
"value": "Solve 7 = 2*b + z + 20, -2*b + 3*z + 7 = 0 for b."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the o'th term of 1235, 1228, 1221, 1214, 1207, 1200?"
},
{
"from": "gpt",
"value": "1242 - 7*o"
}
] |
[
{
"from": "human",
"value": "Does 13 divide 39?"
},
{
"from": "gpt",
"value": "True"
}
] |
[
{
"from": "human",
"value": "Let d = -120.02 + 120. Which is the closest to -1? (a) d (b) 0.4 (c) 3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Let k(m) = -m**2 + 10*m + 15. Let l be k(11). Solve 0 = 3*g + 2*v + 3, 0*g = g + l*v + 11 for g."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "(4 - 70/18)*-2"
},
{
"from": "gpt",
"value": "-2/9"
}
] |
[
{
"from": "human",
"value": "What is the next term in 42, 201, 466, 837, 1314, 1897?"
},
{
"from": "gpt",
"value": "2586"
}
] |
[
{
"from": "human",
"value": "What is the second smallest value in 6, 2, 0.065, -0.4?"
},
{
"from": "gpt",
"value": "0.065"
}
] |
[
{
"from": "human",
"value": "Let y(x) = -x - 5. Let k be y(-4). Let v(c) = 2*c**2 - 4*c - 3. Let b(r) = r**2 - r - 1. Let n(f) = k*v(f) + 3*b(f). Find the second derivative of n(w) wrt w."
},
{
"from": "gpt",
"value": "2"
}
] |
[
{
"from": "human",
"value": "Calculate the lowest common multiple of 45 and 72."
},
{
"from": "gpt",
"value": "360"
}
] |
[
{
"from": "human",
"value": "What is 0.0023952 rounded to five dps?"
},
{
"from": "gpt",
"value": "0.0024"
}
] |
[
{
"from": "human",
"value": "Suppose 2*f = -3*f + 755. What is the units digit of f?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Let s = -0.15 - -0.12. Which is the second biggest value? (a) -4 (b) s (c) 0.1"
},
{
"from": "gpt",
"value": "b"
}
] |
[
{
"from": "human",
"value": "Calculate the greatest common factor of 19177 and 127."
},
{
"from": "gpt",
"value": "127"
}
] |
[
{
"from": "human",
"value": "Let f(s) = 5*s. Suppose 3*q - 23 - 4 = 0. Let a(h) = 2*h. Let o(j) = q*a(j) - 4*f(j). Let k(z) = 4*z. Calculate k(o(v))."
},
{
"from": "gpt",
"value": "-8*v"
}
] |
[
{
"from": "human",
"value": "What is 517 minutes before 2:03 PM?"
},
{
"from": "gpt",
"value": "5:26 AM"
}
] |
[
{
"from": "human",
"value": "Which is smaller: 0 or 2/67549?"
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "What is the greatest common divisor of 410 and 8282?"
},
{
"from": "gpt",
"value": "82"
}
] |
[
{
"from": "human",
"value": "Solve -8 = -5*v - 2*p, -7 = -4*v + 2*p - 15 for v."
},
{
"from": "gpt",
"value": "0"
}
] |
[
{
"from": "human",
"value": "-7 times 1"
},
{
"from": "gpt",
"value": "-7"
}
] |
[
{
"from": "human",
"value": "What is next in -121, -123, -125, -127?"
},
{
"from": "gpt",
"value": "-129"
}
] |
[
{
"from": "human",
"value": "-62123 + 0"
},
{
"from": "gpt",
"value": "-62123"
}
] |
[
{
"from": "human",
"value": "Let j(w) = w**3 - 6*w**2 + 3*w + 2. Let q be j(6). Suppose 3*x + x = 0. Suppose -5*m + 0*m + q = x. Solve -n + 2*n = -m for n."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "What is the y'th term of 1402, 1400, 1398, 1396?"
},
{
"from": "gpt",
"value": "1404 - 2*y"
}
] |
[
{
"from": "human",
"value": "Is 12 a factor of 513?"
},
{
"from": "gpt",
"value": "False"
}
] |
[
{
"from": "human",
"value": "Suppose -2*m = -2*a + 4, -2*m + 3*m + 14 = 4*a. Solve 4*w = -w + m*x - 31, 0 = -3*w - x - 12 for w."
},
{
"from": "gpt",
"value": "-5"
}
] |
[
{
"from": "human",
"value": "Put together -8215150 and -0.1."
},
{
"from": "gpt",
"value": "-8215150.1"
}
] |
[
{
"from": "human",
"value": "Simplify ((sqrt(475) - (sqrt(475) + 4))*6)**2."
},
{
"from": "gpt",
"value": "576"
}
] |
[
{
"from": "human",
"value": "Which is the closest to -1? (a) -2/11 (b) 0.06 (c) 0.3"
},
{
"from": "gpt",
"value": "a"
}
] |
[
{
"from": "human",
"value": "Suppose -3*y = -y. Suppose y = l + 4*l + 20. Round l to 0 dps."
},
{
"from": "gpt",
"value": "-4.0"
}
] |
[
{
"from": "human",
"value": "Evaluate (-2)/5*100/10."
},
{
"from": "gpt",
"value": "-4"
}
] |
[
{
"from": "human",
"value": "Suppose -4*v + 35 = -165. Let b be v/(24644/12320 + -2). Round b to the nearest ten thousand."
},
{
"from": "gpt",
"value": "150000.0"
}
] |
[
{
"from": "human",
"value": "Which is the second smallest value? (a) -205 (b) 6 (c) 0.08"
},
{
"from": "gpt",
"value": "c"
}
] |
[
{
"from": "human",
"value": "What is (-20)/15*-2*3/(-84)?"
},
{
"from": "gpt",
"value": "-2/21"
}
] |
[
{
"from": "human",
"value": "What is the nearest to 0 in 2, -0.01, -3?"
},
{
"from": "gpt",
"value": "-0.01"
}
] |
[
{
"from": "human",
"value": "Let f = 73 + -70. Factor 2/3*v - 2/3*v**f - 2/3*v**2 + 2/3."
},
{
"from": "gpt",
"value": "-2*(v - 1)*(v + 1)**2/3"
}
] |
[
{
"from": "human",
"value": "What is (0 - -1) + 4 + 0?"
},
{
"from": "gpt",
"value": "5"
}
] |
[
{
"from": "human",
"value": "Let q(i) be the third derivative of -1/21*i**4 - 4/21*i**3 + 0 + 0*i + 1/70*i**5 - 4*i**2. Suppose q(f) = 0. What is f?"
},
{
"from": "gpt",
"value": "-2/3, 2"
}
] |
[
{
"from": "human",
"value": "Let d be (55/(-33))/(2/(-96)). What is the highest common factor of d and 20?"
},
{
"from": "gpt",
"value": "20"
}
] |
[
{
"from": "human",
"value": "Put 28, 5, 4, -6, 7 in decreasing order."
},
{
"from": "gpt",
"value": "28, 7, 5, 4, -6"
}
] |
[
{
"from": "human",
"value": "Sort -3/2, -0.4, 0.18, 1/2."
},
{
"from": "gpt",
"value": "-3/2, -0.4, 0.18, 1/2"
}
] |
[
{
"from": "human",
"value": "Let w be 0/(3/6*-6). Suppose 2*n = n, w = v + 3*n - 1. Let p(q) = 10*q**3 + 2*q - 1. What is the tens digit of p(v)?"
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "Suppose -4 = 4*c - 6*c. Let m be ((-6)/(-3) + -2)/c. Solve 4*t - 2*t + 6 = m for t."
},
{
"from": "gpt",
"value": "-3"
}
] |
[
{
"from": "human",
"value": "In base 4, what is -10 - 12000?"
},
{
"from": "gpt",
"value": "-12010"
}
] |
[
{
"from": "human",
"value": "Let f be 4/(-18) + (-8)/(-36). Let z be (-2 + 2 + f)*-1. Solve z = 3*h - 4 - 8 for h."
},
{
"from": "gpt",
"value": "4"
}
] |
[
{
"from": "human",
"value": "Find w, given that 5*w**2 + 20*w - 60 = 0."
},
{
"from": "gpt",
"value": "-6, 2"
}
] |
[
{
"from": "human",
"value": "Simplify 6*(sqrt(931)*-2)**2*-3."
},
{
"from": "gpt",
"value": "-67032"
}
] |
[
{
"from": "human",
"value": "In base 3, what is -12 + 1122?"
},
{
"from": "gpt",
"value": "1110"
}
] |
[
{
"from": "human",
"value": "Let w(h) = h**2 - 3. Let n be w(-3). Suppose -n*f = -2*f. Suppose -6*l + l = f. Solve 3*k - 3 = -l*k for k."
},
{
"from": "gpt",
"value": "1"
}
] |
[
{
"from": "human",
"value": "In base 11, what is 59 - 5?"
},
{
"from": "gpt",
"value": "54"
}
] |
[
{
"from": "human",
"value": "Let c = 41 - 27. Suppose 0 = -4*b - 2 + c. Determine m so that -5*m**3 + b*m**3 - m**2 + 3*m**2 = 0."
},
{
"from": "gpt",
"value": "0, 1"
}
] |
[
{
"from": "human",
"value": "In base 6, what is -5 - -12530?"
},
{
"from": "gpt",
"value": "12521"
}
] |
[
{
"from": "human",
"value": "What is the square root of 3045 to the nearest integer?"
},
{
"from": "gpt",
"value": "55"
}
] |
[
{
"from": "human",
"value": "Convert 3 (base 9) to base 11."
},
{
"from": "gpt",
"value": "3"
}
] |
[
{
"from": "human",
"value": "What is next in -22, -73, -124, -175?"
},
{
"from": "gpt",
"value": "-226"
}
] |
[
{
"from": "human",
"value": "Evaluate ((-5)/15)/((-75)/30)."
},
{
"from": "gpt",
"value": "2/15"
}
] |
[
{
"from": "human",
"value": "Let g(s) = -3*s + 0*s + 2 + 4 - 3 + 14*s**2. Let i be g(3). What is the highest common divisor of i and 15?"
},
{
"from": "gpt",
"value": "15"
}
] |
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