instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Evaluate (9*5/60)/(105/40).\n | 2/7\n | ibivibiv/math_instruct | |
Does 35 divide 12293225?\n | True\n | ibivibiv/math_instruct | |
Let y(x) = x**2 + x - 17. Let z be y(-5). Suppose 0 = -z*h + 4*g + 38 + 30, -2*h - 4*g + 72 = 0. What is the units digit of h?\n | 8\n | ibivibiv/math_instruct | |
Let o = -192 + 192. Let k(m) = -2*m - 10. Let l be k(-2). Sort l, o, 5, 1 in ascending order.\n | l, o, 1, 5\n | ibivibiv/math_instruct | |
Let o(k) = -k**3 - k**2 - 9*k. Let u(p) = 6*p**3 + 6*p**2 + 44*p. Let b(r) = -16*o(r) - 3*u(r). Find i such that b(i) = 0.\n | -3, 0, 2\n | ibivibiv/math_instruct | |
Suppose 2*j - 5 = 5*v + 10, 4*v + 12 = 4*j. Let k be (-3 - -6)/9*v. Let u(h) = 2*h**2 + 3*h**2 + 5*h**3 - 4*h**2. Calculate u(k).\n | -4\n | ibivibiv/math_instruct | |
Let j(b) = -9786*b + 244534. What is j(25)?\n | -116\n | ibivibiv/math_instruct | |
Let x be 7/(-21)*15 - 602/(-126). Which is greater: x or 53?\n | 53\n | ibivibiv/math_instruct | |
Convert 11111 (base 2) to base 9.\n | 34\n | ibivibiv/math_instruct | |
What is (-83076)/69832*4/92?\n | -3/58\n | ibivibiv/math_instruct | |
Let k = 0.8 + 0.2. Let s = -947/2847 - 2/2847. Suppose 4*w = -5*h + 25, h - 1 = -0. Which is the nearest to s? (a) k (b) -5 (c) w\n | a\n | ibivibiv/math_instruct | |
Suppose -2*z = -0*z - 112. Suppose -25*d = -22*d - 9. Suppose -n + 7 + 7 = -5*x, 4*n - z = -d*x. Solve 2*w = -4*s + 14, 3*s - n + 1 = -2*w for s.\n | 1\n | ibivibiv/math_instruct | |
Rearrange (30*v + 31*v**4 - 30*v)*(-2 + 0 + 0)*(9 - 3 - 5) + (-6*v + 4*v**3 + 6*v)*(-6*v + 2*v + 3*v) to the form x*v**2 + l + i*v**3 + n*v + a*v**4 and give n.\n | 0\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 975 and 44595?\n | 2898675\n | ibivibiv/math_instruct | |
Let z be 6/(-10)*15/(-3). Suppose z*v - 2192170 = -2*v. Suppose v = -r - 151566. What is r rounded to the nearest one hundred thousand?\n | -600000\n | ibivibiv/math_instruct | |
-367816 divided by -41\n | 367816/41\n | ibivibiv/math_instruct | |
Let r be ((-2583)/42)/(5 + (-40)/5) + 2. Factor -42*x + 6 - r*x**2.\n | -3*(x + 2)*(15*x - 2)/2\n | ibivibiv/math_instruct | |
Round -3336.462013 to one dp.\n | -3336.5\n | ibivibiv/math_instruct | |
Find the second derivative of -8*w**5 - 8*w**2 + 17*w + 7 wrt w.\n | -160*w**3 - 16\n | ibivibiv/math_instruct | |
What is the closest to 1/4 in 2/3, 8, 3.2, 0.5?\n | 0.5\n | ibivibiv/math_instruct | |
Let z(p) = -69*p**2 + 24*p. Let n be z(10). What are the prime factors of n/(-35) - (-4)/(-14)?\n | 2, 5, 19\n | ibivibiv/math_instruct | |
What is -1 + -77305015788603?\n | -77305015788604\n | ibivibiv/math_instruct | |
Let c(k) = 19637*k - 174. Let z(i) = -8*i. What is c(z(r))?\n | -157096*r - 174\n | ibivibiv/math_instruct | |
What is the thousands digit of 5221905?\n | 1\n | ibivibiv/math_instruct | |
Let v(t) be the third derivative of 0 + 0*t + 0*t**3 - 1/15*t**5 + 4*t**2 + 1/8*t**4. What is the second derivative of v(x) wrt x?\n | -8\n | ibivibiv/math_instruct | |
Let n(f) = f**2 + 20*f + 2. Let r be n(-17). Let q = 78 + r. Is q a multiple of 29?\n | True\n | ibivibiv/math_instruct | |
Let p(n) = -148*n**2 - 12. Suppose 5*c = -25, -8*c = 3*q - 5*c + 30. Let a(t) = -59*t**2 - 5. Determine q*p(v) + 12*a(v).\n | 32*v**2\n | ibivibiv/math_instruct | |
Let u be ((-2 - -2)/(-4))/4. Suppose 10*a - 12*a + 40 = u. Solve -a = 2*s - 7*s for s.\n | 4\n | ibivibiv/math_instruct | |
Calculate the remainder when 111962/222 + (-16)/(-6) is divided by 128.\n | 123\n | ibivibiv/math_instruct | |
Let i(m) = 2*m**2 - 11*m - 37. What is the smallest common multiple of 104 and i(-4)?\n | 312\n | ibivibiv/math_instruct | |
Suppose 56 = 5*o + 2*c, 64 = -21*o + 26*o - 2*c. Suppose -5*y = m - 56, -3*m + 0*y + y + 104 = 0. What is the greatest common divisor of m and o?\n | 12\n | ibivibiv/math_instruct | |
Put 8345, -4, -11, 84 in descending order.\n | 8345, 84, -4, -11\n | ibivibiv/math_instruct | |
Let i(v) = -2*v. Suppose 2*n + n - 174 = 0. Let d = n - 24. Let k(r) = 34 + 0*r - 5*r - d. Calculate i(k(s)).\n | 10*s\n | ibivibiv/math_instruct | |
Suppose h = -5*o + 2788, -2*o - 13*h + 10*h = -1110. Calculate the greatest common factor of 62 and o.\n | 62\n | ibivibiv/math_instruct | |
What is the square root of 312179 to the nearest integer?\n | 559\n | ibivibiv/math_instruct | |
Suppose -5*m + 3*k = -600, 206 + 154 = 3*m - 3*k. Is 10 a factor of m?\n | True\n | ibivibiv/math_instruct | |
Round 2687.25 to the nearest one hundred.\n | 2700\n | ibivibiv/math_instruct | |
In base 15, what is 20834b - 17?\n | 208334\n | ibivibiv/math_instruct | |
Let p = 6803 + -68139/10. Find the common denominator of p and -49/10.\n | 10\n | ibivibiv/math_instruct | |
Let o = 117 + -118. Sort 28, o, 5 in ascending order.\n | o, 5, 28\n | ibivibiv/math_instruct | |
Let l(z) be the first derivative of 5/2*z**2 + 2*z - 1. Let y(f) = -1 - 4*f + 1 - 2. Determine -3*l(s) - 4*y(s).\n | s + 2\n | ibivibiv/math_instruct | |
Solve 13*j = 10*j - 3*o + 48, -o + 22 = -j for j.\n | -3\n | ibivibiv/math_instruct | |
b"What is the rth term of -66, -418, -1356, -3174, -6166?\n" | -49*r**3 + r**2 - 12*r - 6\n | ibivibiv/math_instruct | |
Collect the terms in -1176*l**2 - 1417*l**3 + 119*l**2 + 87*l**3.\n | -1330*l**3 - 1057*l**2\n | ibivibiv/math_instruct | |
Suppose 5*d = 3*t + 1764579 + 2088760, -d + 770661 = -4*t. Is d composite?\n | False\n | ibivibiv/math_instruct | |
Solve -22818 = -1503*t + 8906 + 22384 for t.\n | 36\n | ibivibiv/math_instruct | |
((-63147)/(-10282))/(-217)*-1*2/1\n | 3/53\n | ibivibiv/math_instruct | |
What is 1 - -0.15756377?\n | 1.15756377\n | ibivibiv/math_instruct | |
Expand (-2 - 1 + 4)*(-z - 3*z + 2*z) + 4 - z - 4 - 70*z - 53*z + 80*z - 10*z + 0*z - 20*z - z.\n | -77*z\n | ibivibiv/math_instruct | |
Simplify 3*(sqrt(612)*2 + sqrt(612))**2.\n | 16524\n | ibivibiv/math_instruct | |
Evaluate (-1)/(4 + (-42)/12) + 3.\n | 1\n | ibivibiv/math_instruct | |
Let o = -17526 - -17529. Solve -2*c + o*z - 11 = 0, -4*c + 2*z - 89 + 79 = 0 for c.\n | -1\n | ibivibiv/math_instruct | |
Find the third derivative of 71592*z**5 - 104236*z**2.\n | 4295520*z**2\n | ibivibiv/math_instruct | |
Let z be ((-20)/30)/((-3)/828). Suppose -6*w - z = -514. What is the remainder when w is divided by 14?\n | 13\n | ibivibiv/math_instruct | |
Simplify (sqrt(3) + (sqrt(24) - sqrt(96))/sqrt(8))**2 + -4 + (1*sqrt(192))/sqrt(4).\n | -4 + 4*sqrt(3)\n | ibivibiv/math_instruct | |
Which is smaller: 14651 or 14624?\n | 14624\n | ibivibiv/math_instruct | |
Calculate (-10)/8*8/((-18)/9).\n | 5\n | ibivibiv/math_instruct | |
What is the thousands digit of 19648627?\n | 8\n | ibivibiv/math_instruct | |
What is -733240 rounded to the nearest one hundred thousand?\n | -700000\n | ibivibiv/math_instruct | |
Convert -231c (base 14) to base 3.\n | -22101000\n | ibivibiv/math_instruct | |
b"What is the mth term of 16883, 52517, 111907, 195053, 301955?\n" | 11878*m**2 + 5005\n | ibivibiv/math_instruct | |
Expand (-1218*k + k**3 + k**3 + 293*k)*(-2 + 0 + 1).\n | -2*k**3 + 925*k\n | ibivibiv/math_instruct | |
Let t = -23 + 28. Let p(m) be the first derivative of 1/20*m**t - 3 - 1/12*m**3 - 1/24*m**6 + 0*m**2 + 0*m + 1/16*m**4. Suppose p(f) = 0. What is f?\n | -1, 0, 1\n | ibivibiv/math_instruct | |
What is the billions digit of 1582161839?\n | 1\n | ibivibiv/math_instruct | |
What is the cube root of 1387840 to the nearest integer?\n | 112\n | ibivibiv/math_instruct | |
Let p = 19 - 17. Suppose d + p*d = -31200000. What is d rounded to the nearest one million?\n | -10000000\n | ibivibiv/math_instruct | |
What is -2.28 less than -27499341743?\n | -27499341740.72\n | ibivibiv/math_instruct | |
Suppose -2*v + 28 + 40 = -2*o, 5*v = o + 154. Calculate the remainder when v is divided by 17.\n | 13\n | ibivibiv/math_instruct | |
Suppose -15*z - 8 - 10 + 33 = 0. Let o(p) = -p + 5*p**2 - 9*p**3 + 30*p**3 - 3*p**2. Calculate o(z).\n | 22\n | ibivibiv/math_instruct | |
What is 61873 to the power of 1/2, to the nearest integer?\n | 249\n | ibivibiv/math_instruct | |
List the prime factors of 1011785373.\n | 3, 112420597\n | ibivibiv/math_instruct | |
Suppose j - 6 - 9 = 0. Suppose 0 = 2*b + 3*b - j. Does 6 divide 37/b - (-5)/(-15)?\n | True\n | ibivibiv/math_instruct | |
Suppose -2*f + 7*f = 170. Is f + -1 + (1 - -3) a prime number?\n | True\n | ibivibiv/math_instruct | |
Solve 35 = 17*i - 33 for i.\n | 4\n | ibivibiv/math_instruct | |
Let d = 2035 - 2026. Let h(k) = -k**2 - 4*k + 3. Let x be h(-4). Suppose 7 = 4*n - x*f, 3*n + f - 9 = 6. Solve -n*o + o = d for o.\n | -3\n | ibivibiv/math_instruct | |
What is five sixths of a week in hours?\n | 140\n | ibivibiv/math_instruct | |
Solve 8*v - 13 = 19 for v.\n | 4\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"Akshay Jain / May 29 2019
Remix of
# JSoC'19: What is Trace Estimation?
## Introduction
Hey there! Im Akshay Jain, and this is my first blog entry in a series of many created as a part of Julia Seasons of Contributions Sum... | Matrix theory is an essential branch of mathematics that has numerous applications across various fields, including physics, computer science, engineering, and statistics. At its core, it deals with the study of matrices - rectangular arrays of numbers - and their properties. One fundamental concept in matrix theory i... | ibivibiv/math_instruct | |
What is the second biggest value in 106, 13, 0, 2/5, -73, 3?\n | 13\n | ibivibiv/math_instruct | |
Suppose 3 + 12 = 5*n. Which is the biggest value? (a) -1.7 (b) -5 (c) n\n | c\n | ibivibiv/math_instruct | |
b"What is the th term of 2, 18, 32, 44, 54?\n" | -b**2 + 19*b - 16\n | ibivibiv/math_instruct | |
Let a(q) = 6*q**2. Let h(z) = -z + 12*z + 20*z + 22*z + z. Calculate h(a(y)).\n | 324*y**2\n | ibivibiv/math_instruct | |
Convert -1101545011 (base 6) to base 10.\n | -11849119\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 6789780 and 100.\n | 20\n | ibivibiv/math_instruct | |
Round 84220 to the nearest one thousand.\n | 84000\n | ibivibiv/math_instruct | |
Simplify (-2 + -4 + sqrt(171) + (sqrt(171) - (sqrt(171) + -2))**2 - (-1 + (sqrt(171) + 0 - sqrt(171)) + 4)) + 0.\n | -5 + 3*sqrt(19)\n | ibivibiv/math_instruct | |
In base 10, what is -47 + -3?\n | -50\n | ibivibiv/math_instruct | |
What is the thousands digit of 44727?\n | 4\n | ibivibiv/math_instruct | |
Put -42880, 625, 2 in decreasing order.\n | 625, 2, -42880\n | ibivibiv/math_instruct | |
Evaluate ((-3)/2)/(2/(-28)*-3).\n | -7\n | ibivibiv/math_instruct | |
Is 1079651455 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let x be 296/96 - (-165)/(-44). Let n = 1 + -1.6. Let d = n + 2.6. Which is the second biggest value? (a) d (b) -2.2 (c) x\n | c\n | ibivibiv/math_instruct | |
Suppose -40*s = 21 - 501. What is the highest common divisor of 3 and s?\n | 3\n | ibivibiv/math_instruct | |
What is (20 - 4) + (-27 + -21 - -39)?\n | 7\n | ibivibiv/math_instruct | |
Suppose 3*c = -u + 5*u + 28, -5*u - 8 = 3*c. Suppose -3*d + 9 = 5*l, c*d + 0*l - 12 = 2*l. Solve b = -4*o + 4, 5 = -3*b + d*o + 2*o for b.\n | 0\n | ibivibiv/math_instruct | |
Four letters picked without replacement from drrddrdddddddr. Give prob of picking 4 d.\n | 30/143\n | ibivibiv/math_instruct | |
Which is greater: 50/9 or -20.448?\n | 50/9\n | ibivibiv/math_instruct | |
Is -3/5285150 bigger than 1?\n | False\n | ibivibiv/math_instruct | |
Simplify (r**(-8/7)/r**(2/19))**(-2/37) assuming r is positive.\n | r**(332/4921)\n | ibivibiv/math_instruct | |
Let d(g) = 3*g. Let x(m) = -2*m**2 + 1756. Determine d(x(c)).\n | -6*c**2 + 5268\n | ibivibiv/math_instruct |
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