instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
How many millimeters are there in 3/10 of a meter?\n | 300\n | ibivibiv/math_instruct | |
Is 3528316540 a multiple of 140?\n | True\n | ibivibiv/math_instruct | |
Let t(k) = -k**3 - 2*k**2 + 3*k - 1. Let b(l) = -l**2 + 6*l - 7. Let r be b(9). Let x = r + 31. Calculate t(x).\n | -1\n | ibivibiv/math_instruct | |
How many months are there in 5004.76 centuries?\n | 6005712\n | ibivibiv/math_instruct | |
Let t(p) = -p**2 - 4*p - 6. Let k(j) = -j**2 - 7*j - 13. Give -4*k(m) + 7*t(m).\n | -3*m**2 + 10\n | ibivibiv/math_instruct | |
Let f(s) = s**2 - 30*s + 12. Determine f(31).\n | 43\n | ibivibiv/math_instruct | |
Let j(g) = -23*g + 5. Let b(z) = 4*z - 1. Let o(x) = 6*b(x) + j(x). Let q(c) = 4*c - 3. Give -21*o(y) + 6*q(y).\n | 3*y + 3\n | ibivibiv/math_instruct | |
What comes next: -28232, -28063, -27906, -27767, -27652?\n | -27567\n | ibivibiv/math_instruct | |
Let f = -29.1 - -28. Let q = -1.0999997 - f. What is q rounded to 7 dps?\n | 0.0000003\n | ibivibiv/math_instruct | |
Suppose -11 = -4*g - 51. Let l = g + 4. Let u = 0 - l. What is the greatest common divisor of u and 54?\n | 6\n | ibivibiv/math_instruct | |
Suppose -2*a = -b + 82398, 0*a + 3*a = 5*b - 123590. What is a rounded to the nearest 10000?\n | -40000\n | ibivibiv/math_instruct | |
Differentiate 6123*j**3 - 7669.\n | 18369*j**2\n | ibivibiv/math_instruct | |
Which is the nearest to 0.1? (a) 2/129 (b) 0 (c) 1 (d) 24\n | a\n | ibivibiv/math_instruct | |
Let i = 3.9 + -3.9. What is the closest to 0 in i, 4, 2/7?\n | i\n | ibivibiv/math_instruct | |
Suppose -5*r - 83 = 42. Let v = 92 - r. Is v - (-6)/(4 + -1) a prime number?\n | False\n | ibivibiv/math_instruct | |
Let s be (-69)/((-207)/10)*6/5. Let i(q) be the second derivative of -4*q**2 + 0 + s*q - 1/12*q**4 + 3/2*q**3. What is i(7)?\n | 6\n | ibivibiv/math_instruct | |
Let x be 76/6 + 7 + (-2 - 0). Do 19 and x have the same value?\n | False\n | ibivibiv/math_instruct | |
(-88 - -29 - -34) + 0\n | -25\n | ibivibiv/math_instruct | |
Calculate the remainder when 1335740 is divided by 1335684.\n | 56\n | ibivibiv/math_instruct | |
Multiply 20 and -9.\n | -180\n | ibivibiv/math_instruct | |
Suppose 7*y - 3*y = -436000. What is y rounded to the nearest ten thousand?\n | -110000\n | ibivibiv/math_instruct | |
Is 783 a factor of 291276?\n | True\n | ibivibiv/math_instruct | |
Let s(u) = u**2 + 15*u + 44. Calculate s(-11).\n | 0\n | ibivibiv/math_instruct | |
Let d be 64 + -19 + 13/(13/6). Calculate the highest common factor of 3281 and d.\n | 17\n | ibivibiv/math_instruct | |
Collect the terms in 155*m**3 - 42717*m + 42717*m + 178*m**3.\n | 333*m**3\n | ibivibiv/math_instruct | |
Let k(m) be the second derivative of -m**5/20 + 5*m**3/6 + 2*m**2 + 5*m. Let i(v) be the first derivative of k(v). Find the first derivative of i(o) wrt o.\n | -6*o\n | ibivibiv/math_instruct | |
What is the second derivative of -4*d**4*w**2 + 116*d**4 + 6370*d*w**2 wrt d?\n | -48*d**2*w**2 + 1392*d**2\n | ibivibiv/math_instruct | |
Suppose -3*b + 8*b - 210 = 0. Is 18 a factor of b?\n | False\n | ibivibiv/math_instruct | |
What is the smallest value in 1/4, -1/5, 1/2, 3, -0.122?\n | -1/5\n | ibivibiv/math_instruct | |
Let k = 13 + -15. Let b be -1 + 3 + -2 - k. What is the highest common divisor of b and 5?\n | 1\n | ibivibiv/math_instruct | |
What is the cube root of 14936 to the nearest integer?\n | 25\n | ibivibiv/math_instruct | |
What is the highest common factor of 98230 and 2527030?\n | 110\n | ibivibiv/math_instruct | |
Let y = 223/285 - -1/57. Which is the fourth biggest value? (a) 2/9 (b) -1/2 (c) 5/6 (d) y\n | b\n | ibivibiv/math_instruct | |
Let m(l) = l**2 + 7*l + 2. Let u be m(-7). Let a(g) = g**2 + 1. Let d be a(-1). Calculate the highest common divisor of d and u.\n | 2\n | ibivibiv/math_instruct | |
Find t, given that -15*t - 378*t**2 - 1 + 391*t**2 + 3*t = 0.\n | -1/13, 1\n | ibivibiv/math_instruct | |
Put 4, -2, -4, 6 in ascending order.\n | -4, -2, 4, 6\n | ibivibiv/math_instruct | |
(0 - 2) + 4 - (-1 + -3)\n | 6\n | ibivibiv/math_instruct | |
Solve -4*n = 618 - 638 for n.\n | 5\n | ibivibiv/math_instruct | |
Simplify ((v*v*v**(2/7))**45*v**(-1/2)*v**(-7))/((v**(-1/4))**(7/6)*v*(v/v**(-1/6)*v*v)/v*v*(v**(-9)*v)/v*v) assuming v is positive.\n | v**(5571/56)\n | ibivibiv/math_instruct | |
Solve -113*o - 167494 + 160601 = 0 for o.\n | -61\n | ibivibiv/math_instruct | |
-1420 (base 5) to base 10\n | -235\n | ibivibiv/math_instruct | |
Calculate -236884 divided by -453.\n | 236884/453\n | ibivibiv/math_instruct | |
Let z(o) = -2*o**2 + 16*o - 3. Let t(x) = x**2 + 4*x + 1. Let w(k) = -3*t(k) - z(k). Determine s, given that w(s) = 0.\n | -28, 0\n | ibivibiv/math_instruct | |
Calculate prob of sequence cgd when three letters picked without replacement from {d: 3, g: 8, c: 4, x: 2}.\n | 2/85\n | ibivibiv/math_instruct | |
Suppose 5*d + 2*g - 645 = 0, 3*d - 163 - 228 = -2*g. Let c = d + -52. Let x = 78 - c. What is the nearest to x in 0.1, -2/3, 0?\n | 0.1\n | ibivibiv/math_instruct | |
What comes next: 3, 29, 85, 177, 311, 493, 729?\n | 1025\n | ibivibiv/math_instruct | |
What are the prime factors of 591?\n | 3, 197\n | ibivibiv/math_instruct | |
What is the value of ((-8)/80)/(1/(-6))*(-260)/(-12)?\n | 13\n | ibivibiv/math_instruct | |
What is 0 divided by 56?\n | 0\n | ibivibiv/math_instruct | |
Let s be (-6)/9*(1 + 11/(-2)). Let r be (20/(-5))/(s/(-192)). Suppose 5*i = 3*f - 3236, -i = -2*f + 1913 + r. Is f a prime number?\n | True\n | ibivibiv/math_instruct | |
Suppose 3*b + 14 = 5*c + 2*b, 2*c = -5*b + 11. Suppose 0*w - 12 = -c*w. Is w a multiple of 4?\n | True\n | ibivibiv/math_instruct | |
What is the value of (-6)/8*21/(2205/56)?\n | -2/5\n | ibivibiv/math_instruct | |
Put -107, 0.5, 1102, 0.3, -0.2 in increasing order.\n | -107, -0.2, 0.3, 0.5, 1102\n | ibivibiv/math_instruct | |
Simplify ((sqrt(135)/sqrt(9)*4)/(2*(sqrt(5) - sqrt(320))))**2.\n | 12/49\n | ibivibiv/math_instruct | |
Let k = -81 + 86. What is the tens digit of (k + -8)*662/(-6)?\n | 3\n | ibivibiv/math_instruct | |
Calculate the remainder when 102352 is divided by 1704.\n | 112\n | ibivibiv/math_instruct | |
Suppose 5*u = -168 + 8. Let q = u + 53. What is the remainder when 83 is divided by q?\n | 20\n | ibivibiv/math_instruct | |
Simplify ((s**(7/5)/s)/(s*s/(s*s**(2/3)/s*s)*s*s))**(-48)/(s**(1/7)*s**(1/3)*s*s*s**1*(s*s**(1/6))/s) assuming s is positive.\n | s**(6241/70)\n | ibivibiv/math_instruct | |
What is the first derivative of 2053*t**4 + 717*t**2 - 41*t + 298103320 wrt t?\n | 8212*t**3 + 1434*t - 41\n | ibivibiv/math_instruct | |
Suppose -2*t**4 - 86*t**3/3 + 20*t**2 = 0. Calculate t.\n | -15, 0, 2/3\n | ibivibiv/math_instruct | |
Solve -3218*k = -3252*k - 952 for k.\n | -28\n | ibivibiv/math_instruct | |
Let h(g) = -605*g**2 + 4*g - 3. Let u be h(1). List the prime factors of -6*(-1)/(-4)*u/6.\n | 151\n | ibivibiv/math_instruct | |
Let l(h) be the second derivative of h**6/90 - h**5/30 + 55*h**3/6 + 61*h. Let b(x) be the second derivative of l(x). Find w such that b(w) = 0.\n | 0, 1\n | ibivibiv/math_instruct | |
Let m = 2 - 6. Let c(j) be the second derivative of -j**4/12 - j**3/2 + 3*j**2/2 + j. Let g(a) be the first derivative of c(a). Give g(m).\n | 5\n | ibivibiv/math_instruct | |
Let b(l) = -2*l**2 + 611*l - 18935. What is b(35)?\n | 0\n | ibivibiv/math_instruct | |
What comes next: 12596, 25217, 37864, 50543, 63260, 76021?\n | 88832\n | ibivibiv/math_instruct | |
Let c be ((-1)/(-36))/(12044/4299780). Let m = -1/6022 + c. What is the common denominator of -3/4 and m?\n | 12\n | ibivibiv/math_instruct | |
Let h be (-7)/42*-28*108/14. Let v(c) = 16*c + 2 + 1 + 21*c - h*c. Let g(n) = -n - 3. Calculate -3*g(l) - 2*v(l).\n | l + 3\n | ibivibiv/math_instruct | |
How many millimeters are there in 104.6735um?\n | 0.1046735\n | ibivibiv/math_instruct | |
Suppose 134*k - 131*k - 67172 = c, 3*k - 67152 = -3*c. What is the tens digit of k?\n | 8\n | ibivibiv/math_instruct | |
Which is the closest to 8/41? (a) -3/4 (b) -2/7 (c) 1.2\n | b\n | ibivibiv/math_instruct | |
Is 1/888 < -1?\n | False\n | ibivibiv/math_instruct | |
Calculate the value of $-\left(14\div 2\cdot 9-60+3\cdot 9\right)$. | First, we perform the multiplication and division from left to right:
\begin{align*}
-\left(14\div 2\cdot 9-60+3\cdot 9\right) &= -\left(7\cdot 9-60+3\cdot 9\right) \\
&= -\left(63-60+3\cdot 9\right) \\
&= -\left(63-60+27\right).
\end{align*}
Next, we perform the addition and subtraction from left to right:
\begin{alig... | ibivibiv/math_instruct | |
What is the highest common divisor of 224 and 1008?\n | 112\n | ibivibiv/math_instruct | |
What is prob of picking 1 f and 1 o when two letters picked without replacement from {x: 1, a: 2, h: 1, l: 4, f: 1, o: 3}?\n | 1/22\n | ibivibiv/math_instruct | |
Evaluate (3/(-4))/((-2)/8).\n | 3\n | ibivibiv/math_instruct | |
Let b = 1542 + -1540. Solve 2*p = h + b, -p - h + 11 = 4 for p.\n | 3\n | ibivibiv/math_instruct | |
0 (base 11) to base 12\n | 0\n | ibivibiv/math_instruct | |
Let p = 1 - 1. Suppose 3*n - 70 = 4*u, p*n = 4*n + 3*u - 110. Let b = 41 - n. What is the remainder when 28 is divided by b?\n | 13\n | ibivibiv/math_instruct | |
13/((-91)/7)*(-3)/(-1)\n | -3\n | ibivibiv/math_instruct | |
What is 342 minutes after 10:48 AM?\n | 4:30 PM\n | ibivibiv/math_instruct | |
Two letters picked without replacement from jsjiezt. Give prob of sequence ti.\n | 1/42\n | ibivibiv/math_instruct | |
What is -4 - ((-1 - -3) + -2)?\n | -4\n | ibivibiv/math_instruct | |
Let j = -9624.1508 + 9620. Round j to two dps.\n | -4.15\n | ibivibiv/math_instruct | |
Let l(a) = 3*a - 427379. Let u(n) = -3*n. What is u(l(c))?\n | -9*c + 1282137\n | ibivibiv/math_instruct | |
Solve -17*l - 3 = -14*l for l.\n | -1\n | ibivibiv/math_instruct | |
Does 37 divide 215044?\n | True\n | ibivibiv/math_instruct | |
What is next in -12182, -11732, -10512, -8138, -4226, 1608, 9748?\n | 20578\n | ibivibiv/math_instruct | |
How many millilitres are there in twenty-seven halves of a litre?\n | 13500\n | ibivibiv/math_instruct | |
What is 6*((-21)/(-636))/7*(-120)/(-90)?\n | 2/53\n | ibivibiv/math_instruct | |
Factor m**2/3 + 38222*m/3 + 1756096/3.\n | (m + 46)*(m + 38176)/3\n | ibivibiv/math_instruct | |
What comes next: 222, 200, 178?\n | 156\n | ibivibiv/math_instruct | |
Solve w - 2 - 15 = 4*h, 0 = -5*h + 5*w - 25 for h.\n | -4\n | ibivibiv/math_instruct | |
Let a be 33/12 - 2/(-8). Let j be -280 - (-3 - -4) - a. Let h = -135 - j. Is h prime?\n | True\n | ibivibiv/math_instruct | |
What is -70 divided by -2?\n | 35\n | ibivibiv/math_instruct | |
Collect the terms in -13*g**3 - 2*g - 48*g**3 - 7*g**2 + 23 - 16*g**3 - 3*g**2.\n | -77*g**3 - 10*g**2 - 2*g + 23\n | ibivibiv/math_instruct | |
What is the common denominator of -37/7686 and 11/41034?\n | 7509222\n | ibivibiv/math_instruct | |
Solve 216 = -85*h - 9*h + 1062 for h.\n | 9\n | ibivibiv/math_instruct | |
Let x = -501 - -873. What are the prime factors of x?\n | 2, 3, 31\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {t: 13, w: 5}. What is prob of picking 3 w?\n | 5/408\n | ibivibiv/math_instruct |
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