instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is one quarter of a kilogram in grams?\n | 250\n | ibivibiv/math_instruct | |
b"What is the ath term of 3603, 14541, 32811, 58413?\n" | 3666*a**2 - 60*a - 3\n | ibivibiv/math_instruct | |
Of the two square fields, the area of one is some hectares, while the other one is broader by 1%. Their difference in area is 201 square meters. What is the area of the smaller field? | Let's denote the side length of the smaller square field as \( s \) (in meters), so its area \( A \) (in square meters) is \( s^2 \).
The larger square field has a side length that is 1% greater than the smaller one, so its side length is \( s \times 1.01 \). Therefore, the area of the larger field \( A \) is \( (s \t... | ibivibiv/math_instruct | |
What is -5289 take away 2.24?\n | -5291.24\n | ibivibiv/math_instruct | |
What is the second smallest value in -8, 467/13, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
Suppose -3*x - 2988*i = -2985*i - 93975, -4*x - 2*i + 125298 = 0. What is the thousands digit of x?\n | 1\n | ibivibiv/math_instruct | |
Find the second derivative of -12775*j**3 - 3*j**2 + 15104*j wrt j.\n | -76650*j - 6\n | ibivibiv/math_instruct | |
Let n be (-12)/(-16) - 19/4. Let k = 3 + -2. Sort 3, k, n in ascending order.\n | n, k, 3\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {x: 16, v: 4}. What is prob of picking 1 v and 2 x?\n | 8/19\n | ibivibiv/math_instruct | |
Collect the terms in 1342*x - 22*x**2 - x**2 - 1342*x.\n | -23*x**2\n | ibivibiv/math_instruct | |
Let x = 3458 - 3457. Sort -1/3, x, 2/13, 0.6 in descending order.\n | x, 0.6, 2/13, -1/3\n | ibivibiv/math_instruct | |
What is the next term in -7328, -29426, -66250, -117794, -184052, -265018, -360686?\n | -471050\n | ibivibiv/math_instruct | |
What is the highest common factor of 18468 and 90156672?\n | 2052\n | ibivibiv/math_instruct | |
What is 2624 to the power of 1/9, to the nearest integer?\n | 2\n | ibivibiv/math_instruct | |
Which is smaller: 311613 or 3.94?\n | 3.94\n | ibivibiv/math_instruct | |
Is -8 less than -4?\n | True\n | ibivibiv/math_instruct | |
Let b be (-63)/(-2*(-9)/(-312)). Suppose 0 = 2*s + 5*y - 499, 3*y - 1021 - 236 = -5*s. Suppose 6*n + s - b = 0. What are the prime factors of n?\n | 2, 5, 7\n | ibivibiv/math_instruct | |
What are the prime factors of 74289?\n | 3, 24763\n | ibivibiv/math_instruct | |
Round 0.43284 to 2 decimal places.\n | 0.43\n | ibivibiv/math_instruct | |
Suppose 0 = 3*y - 4*p - 22, -y + 74 = -4*p + 56. Solve 0 = y*w - 12*w - 50 for w.\n | -5\n | ibivibiv/math_instruct | |
Let j be ((-245)/(-105))/(1 + 307/(-306)). Let y = -712 - j. Solve -3*u = -2*b + 1, 0*u + u = y*b + 5 for u.\n | -3\n | ibivibiv/math_instruct | |
How many minutes are there between 4:47 PM and 4:41 AM?\n | 714\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 234 and 717405?\n | 4304430\n | ibivibiv/math_instruct | |
-10113320 (base 5) to base 11\n | -56950\n | ibivibiv/math_instruct | |
Simplify (a**(-3/2)/a)/(a/a**(1/8)*a)*(a**(-2)*a*a)**(-10) assuming a is positive.\n | a**(-35/8)\n | ibivibiv/math_instruct | |
Let o(f) = -22*f - 647. Determine o(-31).\n | 35\n | ibivibiv/math_instruct | |
Is 59 a factor of 142730?\n | False\n | ibivibiv/math_instruct | |
Let p be (3 + -2)/(3/81*-3). Let o(l) = -l**2 - 9*l - 6. What is o(p)?\n | -6\n | ibivibiv/math_instruct | |
Collect the terms in -179*o - 25 + 25.\n | -179*o\n | ibivibiv/math_instruct | |
Let q be (-6)/(-24) - (1 + 39/(-84)). Which is the smallest value? (a) q (b) -0.5 (c) 1 (d) -2/5\n | b\n | ibivibiv/math_instruct | |
Let u(i) = i**2 - 4*i. Let l be u(6). Let c(a) = a - 9. Let x be c(6). Let o = l + x. List the prime factors of o.\n | 3\n | ibivibiv/math_instruct | |
Let x = -125 - -183. What is the remainder when x is divided by 41?\n | 17\n | ibivibiv/math_instruct | |
Solve 9158*l = 9173*l + 585 for l.\n | -39\n | ibivibiv/math_instruct | |
Find z, given that 2*z**4/15 + 352708*z**3/15 + 5184043342*z**2/5 + 155482152112*z/15 - 171034634848/15 = 0.\n | -88172, -11, 1\n | ibivibiv/math_instruct | |
b"What is the tth term of 45, -57, -329, -855, -1719, -3005, -4797?\n" | -14*t**3 - t**2 - t + 61\n | ibivibiv/math_instruct | |
Suppose h**3 - 134*h**2 + 395*h - 262 = 0. Calculate h.\n | 1, 2, 131\n | ibivibiv/math_instruct | |
Simplify ((f*f**(-21/5)*f**7/f)/(f**(-13/4)*f**(3/5)))**(-19/2) assuming f is positive.\n | f**(-2071/40)\n | ibivibiv/math_instruct | |
Let c be 3/(-5) + 0 - (-23)/5. Let l be (-32)/680*(-2 - 2/c). Is l bigger than 1?\n | False\n | ibivibiv/math_instruct | |
Let a = 28.556 + -0.656. Let q = -28.644 + a. Round q to 1 decimal place.\n | -0.7\n | ibivibiv/math_instruct | |
Suppose 4*i**5 - 28*i**4 + 64*i**3 - 48*i**2 = 0. What is i?\n | 0, 2, 3\n | ibivibiv/math_instruct | |
Let f be 2 + 0 + -2 + 5. Suppose 4 = -d - 4*z + f*z, -34 = 4*d + 5*z. Which is smaller: d or 1?\n | d\n | ibivibiv/math_instruct | |
Put together -0.0021 and -1839661.89917.\n | -1839661.90127\n | ibivibiv/math_instruct | |
Suppose -o - 4*i = -54041, -25*o = -20*o + 3*i - 270273. List the prime factors of o.\n | 3, 37, 487\n | ibivibiv/math_instruct | |
(4 - 2 - 14) + (2782 - 2732)\n | 38\n | ibivibiv/math_instruct | |
Calculate 1.7 + 0.0974.\n | 1.7974\n | ibivibiv/math_instruct | |
Suppose -6*b - 1 + 19 = 0. Solve 2*v - v = b for v.\n | 3\n | ibivibiv/math_instruct | |
What is the ninth root of 195866 to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Let i(s) = -4 - s - 2*s**2 + s**2 + 2 + 4*s**2 + 2*s**3. Let o be i(-2). Are -4 and o nonequal?\n | False\n | ibivibiv/math_instruct | |
Let g = 1628 + -1594. Which is the third smallest value? (a) 1 (b) 4 (c) g\n | c\n | ibivibiv/math_instruct | |
Suppose 5*b + 139260 = 49*b. What is the tens digit of b?\n | 6\n | ibivibiv/math_instruct | |
Let t(v) be the first derivative of v**3/3 + v**2/2 + 2*v - 8. Let j be t(-2). Solve j*b + 0 = -12 for b.\n | -3\n | ibivibiv/math_instruct | |
What is the next term in -2135499, -2135497, -2135495, -2135493?\n | -2135491\n | ibivibiv/math_instruct | |
Convert 69.76503ns to hours.\n | 0.000000000019379175\n | ibivibiv/math_instruct | |
How many millilitres are there in one tenth of a litre?\n | 100\n | ibivibiv/math_instruct | |
Let g(j) = -1266*j - 3064. Calculate the lowest common multiple of g(-6) and 20.\n | 22660\n | ibivibiv/math_instruct | |
Let u(r) = -3*r**2 + 19*r - 3. Let m be u(6). Sort m, 1, -6 in increasing order.\n | -6, 1, m\n | ibivibiv/math_instruct | |
Suppose c + 4 = 3*c - 2*z, -5*c + 40 = z. Let g be ((-3)/4)/((-2)/(-16)). Let x = c + g. Which is bigger: 2/5 or x?\n | x\n | ibivibiv/math_instruct | |
Let w = -110 - -115. Solve u**w - 5*u**4 - 10*u**4 + 17*u**4 = 0 for u.\n | -2, 0\n | ibivibiv/math_instruct | |
Does 45 divide 31455?\n | True\n | ibivibiv/math_instruct | |
Let a(f) = f**3 - f + 1. Determine a(-2).\n | -5\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 6769250 and 250.\n | 250\n | ibivibiv/math_instruct | |
Let g = 163 + -109. Let p = -50 - -64. What is the remainder when g is divided by p?\n | 12\n | ibivibiv/math_instruct | |
Let w(s) be the first derivative of s**2 + 2. Let r(l) = -53*l**2 + 18*l**2 + 16*l**2 + 18*l**2. Calculate r(w(i)).\n | -4*i**2\n | ibivibiv/math_instruct | |
Convert 5 (base 8) to base 6.\n | 5\n | ibivibiv/math_instruct | |
Let y(h) = 2*h**3 + 20*h**2 + 17*h - 1. What is the remainder when (800/120)/((-3)/(-9)) is divided by y(-9)?\n | 4\n | ibivibiv/math_instruct | |
Let t(z) = 211*z - 1471. Calculate t(7).\n | 6\n | ibivibiv/math_instruct | |
What is the remainder when 79 is divided by -4 + (2 + -3)/((-8)/200)?\n | 16\n | ibivibiv/math_instruct | |
b"What is the dth term of -2548, -2549, -2550, -2551?\n" | -d - 2547\n | ibivibiv/math_instruct | |
Let q be (-2000)/((3/1065)/(-1)). Suppose a - q = 3*y, 6*y = y. What is a rounded to the nearest 100000?\n | 700000\n | ibivibiv/math_instruct | |
Sort -1, 8/9, -29/3, -1/5, 2, -6.\n | -29/3, -6, -1, -1/5, 8/9, 2\n | ibivibiv/math_instruct | |
Let h(n) be the second derivative of -4*n + 9/2*n**2 + 2/3*n**3 + 0. Let v(p) = p + 1. Let j be v(-7). What is h(j)?\n | -15\n | ibivibiv/math_instruct | |
Is 3004209 a multiple of 117?\n | True\n | ibivibiv/math_instruct | |
Let n = 6.7 + -30.9. Let p = n - 0.8. Let r = p + 26. Which is the nearest to r? (a) -3/11 (b) -1/3 (c) 0.5\n | c\n | ibivibiv/math_instruct | |
Subtract 6204014.1 from 24922.87.\n | -6179091.23\n | ibivibiv/math_instruct | |
Is 3000 a multiple of 125?\n | True\n | ibivibiv/math_instruct | |
Multiply -67 and -0.01344.\n | 0.90048\n | ibivibiv/math_instruct | |
Find the second derivative of -6358*a**3 + 13524*a**2 + 31079051*a.\n | -38148*a + 27048\n | ibivibiv/math_instruct | |
Solve 2*y - 3*y - 1 = 9*b, 13868*b = -5*y + 13872*b - 54 for y.\n | -10\n | ibivibiv/math_instruct | |
Rearrange 102 - 102 - 7*i**2 to r + t*i + k*i**2 and give k.\n | -7\n | ibivibiv/math_instruct | |
Is 22419703 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is (2/2)/((-392)/(-1736)*31)?\n | 1/7\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {r: 1, o: 1, p: 1, m: 1, d: 1}. What is prob of sequence ro?\n | 1/20\n | ibivibiv/math_instruct | |
What is 52722 divided by 6?\n | 8787\n | ibivibiv/math_instruct | |
Simplify ((u/u**(12/7))/u**(-9))/((u**(2/39)/u*u)/u**13) assuming u is positive.\n | u**(5797/273)\n | ibivibiv/math_instruct | |
Let v = 247 - 151. Let c = -94 + v. Factor -6 + 57*s - 9 - 5*s**c - 37*s.\n | -5*(s - 3)*(s - 1)\n | ibivibiv/math_instruct | |
Let v(p) = -6*p**2 + 14*p**2 + 3 - 6*p**2 + 8 - 3*p - 10*p. Suppose 5*o + d = 43, 0 = -4*o + 2*o - 4*d + 10. What is the units digit of v(o)?\n | 6\n | ibivibiv/math_instruct | |
What is -31 (base 9) in base 14?\n | -20\n | ibivibiv/math_instruct | |
Expand (56*s - 63*s + 4 - 3)*(s**2 - s**2 + 5*s**4 + 2).\n | -35*s**5 + 5*s**4 - 14*s + 2\n | ibivibiv/math_instruct | |
What is the closest to 0.8 in -0.05, -0.5, -3/8, -0.23, 1/8?\n | 1/8\n | ibivibiv/math_instruct | |
Find i, given that -4*i**2 + 3148*i + 3152 = 0.\n | -1, 788\n | ibivibiv/math_instruct | |
Let u(c) = 35*c**2 - c - 1. Suppose 656*q = 8999 + 26505 + 31408. What is the remainder when q is divided by u(-1)?\n | 32\n | ibivibiv/math_instruct | |
Suppose -2*x + 65 + 19 = 0. Let c = x + -45. Let p be c/6*(-1)/25. Which is bigger: -1 or p?\n | p\n | ibivibiv/math_instruct | |
Let u(m) = 5*m. Let r(h) = -75*h**2 + 6*h - 13. Determine u(r(z)).\n | -375*z**2 + 30*z - 65\n | ibivibiv/math_instruct | |
What is 858927 to the power of 1/3, to the nearest integer?\n | 95\n | ibivibiv/math_instruct | |
Let u(r) = r**3 + 14*r**2 + 15*r + 30. Let y be ((-88)/(-12) + -3)/((-3)/9). Let p be u(y). Solve -3*b = -p*b + 4 for b.\n | 4\n | ibivibiv/math_instruct | |
Suppose 0 = d - 6 + 1. Let n = -2 + 13. Find the second derivative of -n*c**2 - c + c**d + 11*c**2 wrt c.\n | 20*c**3\n | ibivibiv/math_instruct | |
What is 913 to the power of 1/8, to the nearest integer?\n | 2\n | ibivibiv/math_instruct | |
Let u(n) be the second derivative of -n**4/12 - n**3 + n**2/2 + n. Let c = 1 - -3. Suppose 0 = 8*s - c*s + 20. What is u(s)?\n | 6\n | ibivibiv/math_instruct | |
Let n(a) be the third derivative of -a**5/30 + a**4/6 + 907*a**3/6 + 25*a**2. Is n(0) composite?\n | False\n | ibivibiv/math_instruct | |
Suppose -2*b + 48 = -4*r, 0*b = -5*r + b - 54. Let g be (4/(-3))/(r/6). Find h such that 0 - 2/5*h**3 + g*h**2 - 2/5*h = 0.\n | 0, 1\n | ibivibiv/math_instruct |
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