instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the hundred thousands digit of 2890934861?\n | 9\n | ibivibiv/math_instruct | |
In base 16, what is -3 + 49d7a14?\n | 49d7a11\n | ibivibiv/math_instruct | |
Calculate 2772 divided by -924.\n | -3\n | ibivibiv/math_instruct | |
Rearrange (-85 + 203 + 78)*(-2 + 6 - 2)*(4*t**4 - 2*t**4 + 0*t**4) to the form q + v*t + p*t**4 + a*t**2 + s*t**3 and give p.\n | 784\n | ibivibiv/math_instruct | |
Let w(c) = c**3 - 8*c**2 + 5*c - 9. Let a be 10*(3*(-39)/(-45) - 2). Calculate w(a).\n | -51\n | ibivibiv/math_instruct | |
Let a be 1210/50 - 2/10. Suppose -21*u + a*u = 0. Let q(b) = -b**2 - 2*b + 17. Let p be q(u). Solve -p = -3*h + o, 5*h - 3*o = -0*h + 35 for h.\n | 4\n | ibivibiv/math_instruct | |
Suppose 2*g - 34 = 4*g. Suppose -5*o - f + 17 = -164, 78 = 2*o - f. Let m = o + g. List the prime factors of m.\n | 2, 5\n | ibivibiv/math_instruct | |
List the prime factors of 18380.\n | 2, 5, 919\n | ibivibiv/math_instruct | |
Is 16 a factor of 3464672?\n | True\n | ibivibiv/math_instruct | |
Solve 1911*f + 1517*f - 207*f - 242*f = -145971 for f.\n | -49\n | ibivibiv/math_instruct | |
What is 12133 (base 8) in base 14?\n | 1c83\n | ibivibiv/math_instruct | |
Suppose -4 = 3*b - b. Let v be (b + -3)*(-4)/(-10). Calculate the remainder when 14 is divided by (-3)/(-3) + (v - -5).\n | 2\n | ibivibiv/math_instruct | |
1*(-8)/14*2604/13764\n | -4/37\n | ibivibiv/math_instruct | |
What is the highest common divisor of 120 and 1080?\n | 120\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {v: 1, a: 2, x: 1, c: 2, g: 1}. What is prob of sequence vg?\n | 1/42\n | ibivibiv/math_instruct | |
Calculate the common denominator of 19/8060 and -179/780.\n | 24180\n | ibivibiv/math_instruct | |
What is the next term in -10766, -10765, -10764, -10763?\n | -10762\n | ibivibiv/math_instruct | |
Suppose -5*d + 11 = -5*r + 3*r, -5*r + 4 = -2*d. Let t(j) = -4 + 93*j + 4 - 5 + r. List the prime factors of t(1).\n | 2, 3, 5\n | ibivibiv/math_instruct | |
Let j be (-9)/(0 + -4 + 1). Suppose 90 = -0*f + j*f. What is the units digit of f?\n | 0\n | ibivibiv/math_instruct | |
Find the third derivative of 9084*p**3 - 2*p**2 + 412 wrt p.\n | 54504\n | ibivibiv/math_instruct | |
How many minutes are there between 3:12 PM and 5:03 PM?\n | 111\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 2025630?\n | 2\n | ibivibiv/math_instruct | |
Calculate the remainder when 118 is divided by 26.\n | 14\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 2/23897 (b) -11 (c) 4/15\n | c\n | ibivibiv/math_instruct | |
Put -4, 6, 25182 in descending order.\n | 25182, 6, -4\n | ibivibiv/math_instruct | |
What is 1179 to the power of 1/2, to the nearest integer?\n | 34\n | ibivibiv/math_instruct | |
Let f(k) be the third derivative of -k**6/120 + k**5/4 - 5*k**4/8 + 17*k**3/6 + k**2 - 11*k. Let t be f(14). Solve -11 = -t*i - x, -2*i = -5*x - 20 - 10 for i.\n | 5\n | ibivibiv/math_instruct | |
Which is bigger: 1592/65 or -2/7?\n | 1592/65\n | ibivibiv/math_instruct | |
Let y = 79.007 - 78.63197. Let z = -0.367 + y. What is z rounded to 3 decimal places?\n | 0.008\n | ibivibiv/math_instruct | |
Express (-9 + 54 + 23 + (1 - 4 + 1)*(-6 + 0 + 5))*(3*h**2 + 3*h**2 - 2*h**2) as a + w*h + g*h**2 and give g.\n | 280\n | ibivibiv/math_instruct | |
Factor -5*u**4 + 135*u**3 - 1125*u**2 + 3625*u - 3750.\n | -5*(u - 15)*(u - 5)**2*(u - 2)\n | ibivibiv/math_instruct | |
What is the value of (-117)/65*188/(-4230)?\n | 2/25\n | ibivibiv/math_instruct | |
What is fourty-six fifths of a minute in seconds?\n | 552\n | ibivibiv/math_instruct | |
What is (1 - (-22)/(-18)) + 14467/(-14076)?\n | -5/4\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ilfffflfifloo. What is prob of sequence lo?\n | 1/26\n | ibivibiv/math_instruct | |
What is the square root of 26449568 to the nearest integer?\n | 5143\n | ibivibiv/math_instruct | |
How many minutes are there between 2:48 AM and 11:36 AM?\n | 528\n | ibivibiv/math_instruct | |
Expand (18*b + 64*b + 21*b)*(-4*b**3 + 11*b**3 + 32*b**2 - 10*b**3).\n | -309*b**4 + 3296*b**3\n | ibivibiv/math_instruct | |
What is 4855 to the power of 1/9, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Two letters picked without replacement from bug. Give prob of picking 2 g.\n | 0\n | ibivibiv/math_instruct | |
Is 663320 a multiple of 140?\n | True\n | ibivibiv/math_instruct | |
Let a(d) = 4*d. Let s(r) = 19*r**2 + 61605*r - 1. What is s(a(n))?\n | 304*n**2 + 246420*n - 1\n | ibivibiv/math_instruct | |
b"What is the xth term of -76, -180, -158, 146, 888, 2224, 4310, 7302?\n" | 26*x**3 - 93*x**2 - 7*x - 2\n | ibivibiv/math_instruct | |
Let v(d) = 3*d**2 + 3*d - 2. Let j(o) = -4*o**2 - 4*o + 3. Calculate 5*j(t) + 6*v(t).\n | -2*t**2 - 2*t + 3\n | ibivibiv/math_instruct | |
Collect the terms in -301 - 321 + 622 + 920*h.\n | 920*h\n | ibivibiv/math_instruct | |
Evaluate (242/(-66)*15)/(2/4).\n | -110\n | ibivibiv/math_instruct | |
Solve 5*a - 55 = 5*v, 515 - 436 = -7*a - 5*v for a.\n | -2\n | ibivibiv/math_instruct | |
Let x(n) = -108*n**3 + n**2 + 16*n + 14. Let t be x(-1). Calculate the highest common factor of 1177 and t.\n | 107\n | ibivibiv/math_instruct | |
Let l = 26804 - 6124. Is l a multiple of 44?\n | True\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(27.25 - -39.965) % (-97.806 / 19.821) | -1.8675 | ibivibiv/math_instruct | |
What is (-4 - -9) + -1 + 12 + (-6 - 8) + 6?\n | 8\n | ibivibiv/math_instruct | |
What is (-1)/((-3)/(-42))*105/35?\n | -42\n | ibivibiv/math_instruct | |
Suppose -145182 = -166*y + 160*y. Is y prime?\n | True\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) 0.1 (b) -1724 (c) -32 (d) 2\n | a\n | ibivibiv/math_instruct | |
Rearrange (3 + 4 - 5)*(-3 + 3 + 4*z + (2 - 5 + 2)*(2*z + 3*z - 4*z)) to the form q*z + g and give q.\n | 6\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 14/3 (b) -0.8 (c) 0.3\n | b\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 f and 1 b when three letters picked without replacement from xpxpxfpbxfux.\n | 1/220\n | ibivibiv/math_instruct | |
Let m = -446/5 - -5166/55. Let a(y) = 8*y**2 - 7*y + 4. Let o be a(-14). Let u = o - 18343/11. Find the common denominator of u and m.\n | 11\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {q: 3, s: 1}. Give prob of picking 3 q and 1 s.\n | 1\n | ibivibiv/math_instruct | |
What is the nearest to 2/5 in 0, -50/13, -3, -0.4?\n | 0\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 949351857?\n | 5\n | ibivibiv/math_instruct | |
What is the highest common factor of 90 and 509890?\n | 10\n | ibivibiv/math_instruct | |
What comes next: -86, -80, -70, -56, -38, -16?\n | 10\n | ibivibiv/math_instruct | |
A certain high school has 500 students. Of these students, 40 are taking music, 20 are taking art, and 10 are taking both music and art. How many students are taking neither music nor art? | To find out how many students are taking neither music nor art, we can use the principle of inclusion-exclusion.
First, we add the number of students taking music and the number of students taking art:
40 (music) + 20 (art) = 60 students
However, this count includes the 10 students who are taking both music and art t... | ibivibiv/math_instruct | |
What is the third derivative of -7*r**5 - r**4 + 2*r**3 - 177113*r**2 wrt r?\n | -420*r**2 - 24*r + 12\n | ibivibiv/math_instruct | |
Suppose -x - 10*x - 44 = 0. Let z be 6/(0 + (-2 - x)). Suppose z*c + 4*n - 19 = -0, 5*n - 15 = 5*c. Solve -2 = -2*k, -3*w + 4*k + c = -4*w for w.\n | -5\n | ibivibiv/math_instruct | |
Let g(q) be the first derivative of -5*q**4/38 + 18*q**3/19 + 53*q**2/19 + 42*q/19 + 2350. Determine b so that g(b) = 0.\n | -1, -3/5, 7\n | ibivibiv/math_instruct | |
What is the cube root of 66043365 to the nearest integer?\n | 404\n | ibivibiv/math_instruct | |
Suppose -3*i - 21 = -45. Suppose 2 = i*x - 86. Solve 5*m + x - 5 = -2*b, -12 = 4*b + 5*m for b.\n | -3\n | ibivibiv/math_instruct | |
Is 144/11 equal to 14?\n | False\n | ibivibiv/math_instruct | |
What is the highest common factor of 1586 and 338?\n | 26\n | ibivibiv/math_instruct | |
Simplify (5 + 1 + sqrt(1088) + 2 + sqrt(1088))*1.\n | 8 + 16*sqrt(17)\n | ibivibiv/math_instruct | |
Is 91401 a prime number?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of -2*f**2 + 10*f**2 + 5*f**2 + 11*f**3 wrt f.\n | 66\n | ibivibiv/math_instruct | |
Suppose 6*c - c = -185. Let y = c - -60. Suppose -128*w + 3*n = -131*w + 57, -w = -2*n + 2. What is the remainder when y is divided by w?\n | 11\n | ibivibiv/math_instruct | |
Let i = 1.1 + -1.10061. What is i rounded to four dps?\n | -0.0006\n | ibivibiv/math_instruct | |
Which is bigger: -3522 or -2690?\n | -2690\n | ibivibiv/math_instruct | |
Let s = 117.45 + -162.45. Which is the smallest value? (a) -5 (b) 32/5 (c) s\n | c\n | ibivibiv/math_instruct | |
How many micrometers are there in 6/25 of a millimeter?\n | 240\n | ibivibiv/math_instruct | |
Let v(w) = -w**2. Let s = -5 - -7. Let f(q) = 0*q**2 + 2*q**2 - s*q**2 + 4*q**2. What is f(v(h))?\n | 4*h**4\n | ibivibiv/math_instruct | |
What is the value of -6 - -3 - 0 - (7 + -6)?\n | -4\n | ibivibiv/math_instruct | |
Let k(r) be the second derivative of -5*r**4/24 - 107*r**2/2 + 201*r. Let n(o) be the first derivative of k(o). Let y(b) = 24*b. Give n(y(u)).\n | -120*u\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 v when three letters picked without replacement from {v: 7, h: 3}.\n | 7/24\n | ibivibiv/math_instruct | |
Determine m so that -13/2*m + 1/2*m**2 + 6 = 0.\n | 1, 12\n | ibivibiv/math_instruct | |
Expand (3*j - 4*j - j)*(-j**3 - j + j)*(-2*j - 5*j + 3*j).\n | -8*j**5\n | ibivibiv/math_instruct | |
Product of 0.176 and 1.51.\n | 0.26576\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 5 (b) 0.3 (c) -0.03 (d) 3 (e) 1\n | e\n | ibivibiv/math_instruct | |
Sum -820399 and 7.172613.\n | -820391.827387\n | ibivibiv/math_instruct | |
Two letters picked without replacement from kaakbam. What is prob of sequence ab?\n | 1/14\n | ibivibiv/math_instruct | |
Let v(j) = 49*j - 476. Give v(-15).\n | -1211\n | ibivibiv/math_instruct | |
Evaluate (-355)/(-280) + (-24)/21.\n | 1/8\n | ibivibiv/math_instruct | |
Rearrange -10 + 4 - 1 - 3*o + 5 to y*o + k and give k.\n | -2\n | ibivibiv/math_instruct | |
Let v be ((-60)/16)/((-1)/8). Suppose -b + 2*i + v = 4*i, i + 83 = 3*b. Is b a multiple of 7?\n | True\n | ibivibiv/math_instruct | |
Let s(o) = 6*o**2 + 2*o - 8. Let p(i) = -i**2 - i. Suppose 0 = -4*r + 5 - 1. Let l(y) = r*s(y) + 5*p(y). Is l(-6) a composite number?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 2*d - 25 + 0*d - d + 0*d.\n | d - 25\n | ibivibiv/math_instruct | |
Irene earns $500 if she works for x hours a week and gets an extra $20 for every hour of overtime. If she worked 50 hours last week, calculate her total income. The answer is 700. What is the value of unknown variable x? What is the value of unknown variable x? | To solve this problem, we need to determine the value of x, which represents the number of regular hours Irene worked in a week.
We know that Irene earns $500 for x hours of work and an extra $20 for every hour of overtime.
Last week, Irene worked 50 hours in total.
Let's break down the information given:
Regular hours... | ibivibiv/math_instruct | |
Express -3 + 12 + 20*c - 9 as j + h*c and give h.\n | 20\n | ibivibiv/math_instruct | |
b"What is the qth term of -300, -306, -312, -318, -324, -330?\n" | -6*q - 294\n | ibivibiv/math_instruct | |
How many millilitres are there in thirty-one fifths of a litre?\n | 6200\n | ibivibiv/math_instruct | |
In base 15, what is 7dd0a7 - -19?\n | 7dd0c1\n | ibivibiv/math_instruct |
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