instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Find the common denominator of -80/22389 and 55/9.\n | 67167\n | ibivibiv/math_instruct | |
Solve 33*r + 105 = -5*t + 84, -3*r = -3*t + 33 for r.\n | -2\n | ibivibiv/math_instruct | |
What is the third derivative of -2823*b**5 + 11*b**4 + 18*b**3 + b**2 - b - 388272?\n | -169380*b**2 + 264*b + 108\n | ibivibiv/math_instruct | |
What is the units digit of 973854378?\n | 8\n | ibivibiv/math_instruct | |
Rearrange 2*z**2 - 5*z**3 + 5*z**3 + 2*z**4 + 3*z**3 + 5*z**3 to a*z**3 + f*z + b*z**4 + p + h*z**2 and give a.\n | 8\n | ibivibiv/math_instruct | |
Which is the nearest to 2? (a) -1/11 (b) 0.3 (c) 0.2 (d) 0.4 (e) 2/3 (f) -604304\n | e\n | ibivibiv/math_instruct | |
Which is bigger: -3690/469961 or 1?\n | 1\n | ibivibiv/math_instruct | |
Let r = -97805 - -179405. Round r to the nearest 1000.\n | 82000\n | ibivibiv/math_instruct | |
Let v be ((-76)/(-10))/1 - (-2)/5. Solve -i - v = i for i.\n | -4\n | ibivibiv/math_instruct | |
What are the prime factors of 2111232?\n | 2, 3, 2749\n | ibivibiv/math_instruct | |
Suppose 5*k - 155 = 4*v, -3*k = -v - 18 - 19. Let l(b) = -20*b - 134. Is l(v) a multiple of 18?\n | True\n | ibivibiv/math_instruct | |
Let t = -27.33 - -0.33. Let g = -34.41 + 0.41. Let y = t - g. Which is the smallest value? (a) 0.2 (b) -2 (c) y\n | b\n | ibivibiv/math_instruct | |
Express 744*o + 660*o - 1285*o in the form y*o + u and give y.\n | 119\n | ibivibiv/math_instruct | |
Express -w**4 - 4*w**2 + 4*w**2 + (w**3 + w**3 - 3*w**3)*(-w + w + w) - 57*w**4 + 2 - w**3 + 49*w**4 - w**3 as n*w + f*w**2 + b + u*w**4 + s*w**3 and give b.\n | 2\n | ibivibiv/math_instruct | |
Suppose 21*r - 16 = 25*r. Let p be 1*(r - (2 + -2)). Let d be (32/40)/(p - -2). What is the closest to 0 in d, 2/9, 0.3?\n | 2/9\n | ibivibiv/math_instruct | |
Let p = 402 + -192. Let x = p - 120. Suppose -y - x = -5*o, 4*o + 2*y = 35 + 51. Calculate the remainder when 56 is divided by o.\n | 18\n | ibivibiv/math_instruct | |
What is the closest to 2 in -4, 2/15, -11, -0.2?\n | 2/15\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 400 and 80.\n | 80\n | ibivibiv/math_instruct | |
Let h(a) = 1836*a + 9169. Determine h(-5).\n | -11\n | ibivibiv/math_instruct | |
Solve -10 = 4*i + i for i.\n | -2\n | ibivibiv/math_instruct | |
Let m(c) = -c**3 + 2*c**2 - 5*c + 1. Let s be m(5). Let o = 10262 + -10364. Let q = s - o. Solve 3*d - 4*d = -q for d.\n | 3\n | ibivibiv/math_instruct | |
Let -2*a**4/9 - 47*a**3/9 - 106*a**2/9 - 19*a/9 + 14/3 = 0. What is a?\n | -21, -2, -1, 1/2\n | ibivibiv/math_instruct | |
Let v(t) = -t**2 + 12. Suppose -2*o + 17 = 3*d, 5*d = d - 12. Let l = 13 - o. Let f be v(l). Round f to 0 decimal places.\n | 12\n | ibivibiv/math_instruct | |
Simplify (((r**(-2/17)*r)/r)/r**(1/4)*r**(9/4)*r**14*r*r)**(-4/5) assuming r is positive.\n | r**(-1216/85)\n | ibivibiv/math_instruct | |
Solve -i - 1043*n = -1048*n, -2*n + 0 = 2 for i.\n | -5\n | ibivibiv/math_instruct | |
2 - (-8 + (8 - 6) + 5)\n | 3\n | ibivibiv/math_instruct | |
What is the value of -14 - 1 - (18 + -9 + -62)?\n | 38\n | ibivibiv/math_instruct | |
Let f = -150 - -154. Suppose -f*s + 6*j = j - 16, 3*s - 4*j - 12 = 0. Calculate the smallest common multiple of s and 5.\n | 20\n | ibivibiv/math_instruct | |
Let l = 17 + -135. Do l and -120 have the same value?\n | False\n | ibivibiv/math_instruct | |
Multiply 0 and -119.1.\n | 0\n | ibivibiv/math_instruct | |
Evaluate (13 - 12) + -3 + 7 + -25.\n | -20\n | ibivibiv/math_instruct | |
Simplify (t*t**(1/3)/t)**37*t*((t**(-1/9)*t*t)/t)/t*t**(8/7) assuming t is positive.\n | t**(905/63)\n | ibivibiv/math_instruct | |
Suppose b**3/2 - 3803*b**2/2 + 2409088*b - 1016779214 = 0. Calculate b.\n | 1207, 1298\n | ibivibiv/math_instruct | |
Collect the terms in 38*r**2 + r**3 + 6*r**2 - 13*r**2.\n | r**3 + 31*r**2\n | ibivibiv/math_instruct | |
Let b = 7032 - 7031. What is the closest to -2 in -2/5, 4, 6, b?\n | -2/5\n | ibivibiv/math_instruct | |
Simplify (5*(sqrt(209) - (sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209) + 3*sqrt(209) + sqrt(209)))))/(sqrt(275)*4).\n | 7*sqrt(19)/4\n | ibivibiv/math_instruct | |
Evaluate (-3)/(-6)*-180*22/(-66).\n | 30\n | ibivibiv/math_instruct | |
Simplify n**31*n**(-8)*n*n*n**(-38)/(n/(n*n**11*n)) assuming n is positive.\n | 1/n\n | ibivibiv/math_instruct | |
Expand (10*k - 7*k + 17*k)*((1 + 2 - 1)*(k + 1 - 1) + 0*k + 4*k - 2*k + 0*k + 4*k - 6*k).\n | 40*k**2\n | ibivibiv/math_instruct | |
Evaluate 2*(7/(14/(-3)))/1.\n | -3\n | ibivibiv/math_instruct | |
Is 7379330 at most as big as 7379330?\n | True\n | ibivibiv/math_instruct | |
Is 503 a factor of 116193?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 g and 1 f when four letters picked without replacement from {f: 2, e: 7, g: 2, n: 4, c: 1}.\n | 0\n | ibivibiv/math_instruct | |
Solve 95 = -5*l + 5*c, -2*l - 22 = -5*c + 25 for l.\n | -16\n | ibivibiv/math_instruct | |
What is the third smallest value in 0.1, -8, 0.076?\n | 0.1\n | ibivibiv/math_instruct | |
Factor -5*g**4 + 310*g**3 - 895*g**2 + 590*g.\n | -5*g*(g - 59)*(g - 2)*(g - 1)\n | ibivibiv/math_instruct | |
What is -15*(-12)/((-84)/7)?\n | -15\n | ibivibiv/math_instruct | |
Let a(g) be the third derivative of g**8/336 - 49*g**5/15 + 13*g**4 + 3*g**2 + 44. What is the second derivative of a(y) wrt y?\n | 20*y**3 - 392\n | ibivibiv/math_instruct | |
A warehouse store sells cartons of gum. Each carton contains 5 packs of gum, and there are 3 sticks of gum in each pack. Each brown box contains 4 cartons of gum. How many sticks of gum are there in x brown boxes?
If we know the answer to the above question is 480, what is the value of unknown variable x? | Each carton contains 5 packs of gum, and there are 3 sticks of gum in each pack. So each carton contains 5 * 3 = 15 sticks of gum.
Each brown box contains 4 cartons of gum, so each brown box contains 4 * 15 = 60 sticks of gum.
If there are x brown boxes, then the total number of sticks of gum is x * 60.
We are given th... | ibivibiv/math_instruct | |
Put 805, 4, 1 in ascending order.\n | 1, 4, 805\n | ibivibiv/math_instruct | |
Round -333.242272 to the nearest 100.\n | -300\n | ibivibiv/math_instruct | |
Let m(n) = 255*n**2 - 8*n + 23. Is m(6) a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the value of (364 + 0)/(-28) - -7 - (-30)/3?\n | 4\n | ibivibiv/math_instruct | |
b"What is the fth term of -25170, -50328, -75486, -100644, -125802?\n" | -25158*f - 12\n | ibivibiv/math_instruct | |
Solve 10*r + 103 = 113 for r.\n | 1\n | ibivibiv/math_instruct | |
Solve 13*s + 274 = 352 for s.\n | 6\n | ibivibiv/math_instruct | |
Suppose 7*l = -5 + 40. Suppose -l*d + 9383 = -4142. Is d a composite number?\n | True\n | ibivibiv/math_instruct | |
Work out 282 * -0.3.\n | -84.6\n | ibivibiv/math_instruct | |
Expand (22 - 6 + 7)*(62*d**2 + 17*d**2 - 13*d**2).\n | 1518*d**2\n | ibivibiv/math_instruct | |
Suppose -h + 4*h + r = -443, -3*h = 3*r + 447. Let v = -75 - h. Calculate the smallest common multiple of 27 and v.\n | 216\n | ibivibiv/math_instruct | |
How many hours are there in 5085.0639 microseconds?\n | 0.00000141251775\n | ibivibiv/math_instruct | |
Let t = -14 + 22. Let h be -3 - (-4)/t*-2. Let w(n) = -2*n + 3. Let d be w(3). Put h, -5, d in decreasing order.\n | d, h, -5\n | ibivibiv/math_instruct | |
Let f = -9 - 12. Let z = 33 + f. What are the prime factors of z?\n | 2, 3\n | ibivibiv/math_instruct | |
Let g be (2/3)/((-21)/(-28)*44/(-198)). What is the nearest to -1/8 in 0.3, g, -4/259?\n | -4/259\n | ibivibiv/math_instruct | |
Simplify -5*(((sqrt(832) + 0 + sqrt(832) + -3 + -2 + (sqrt(832) - (0 + sqrt(832) - sqrt(832))))*4*1 + -2)**2 + 0).\n | -601460 + 21120*sqrt(13)\n | ibivibiv/math_instruct | |
What is the highest common divisor of 1653 and 57?\n | 57\n | ibivibiv/math_instruct | |
Simplify (s**(-1/5)/s*s**(-5)/s)/(s**(1/2)*s)**(1/16) assuming s is positive.\n | s**(-1167/160)\n | ibivibiv/math_instruct | |
Suppose -5*h = 6*q - 2*q - 423, 2*h - q - 164 = 0. Suppose -h = n - 147. Let w = n + -51. What is the units digit of w?\n | 3\n | ibivibiv/math_instruct | |
Let b = -1706.702174457510141 - -75451170113.702171647510141. Let t = 75451168767 - b. Let x = t - 360. Round x to seven dps.\n | 0.0000028\n | ibivibiv/math_instruct | |
Express (-208*w**2 - 52*w**2 + 52*w**2)*((w - 3*w + 4*w)*(-2 - 1 + 5) - 1 + 1 + w - 1 + 1 - 3*w) in the form b + g*w**2 + j*w**3 + l*w and give j.\n | -416\n | ibivibiv/math_instruct | |
Calculate the remainder when 805 is divided by 21.\n | 7\n | ibivibiv/math_instruct | |
What is the millions digit of 17371706?\n | 7\n | ibivibiv/math_instruct | |
Solve -6*a - 5*a - 110 = -a for a.\n | -11\n | ibivibiv/math_instruct | |
What is the biggest value in 3, -0.3, -4/487, 4, -1, 1/2?\n | 4\n | ibivibiv/math_instruct | |
Let q = 1577 + -1109. Suppose 5*o - s = 3*o - q, -s = 0. Let y = o + 2104/9. What is the closest to 1/4 in y, -0.2, 2/5?\n | 2/5\n | ibivibiv/math_instruct | |
Collect the terms in 42 - 2 - 40 + 3*j.\n | 3*j\n | ibivibiv/math_instruct | |
Suppose -r - 8 = -5. Let w = 0 - r. Factor p**2 - 2*p**2 + p**w + 4*p - 4*p.\n | p**2*(p - 1)\n | ibivibiv/math_instruct | |
How many minutes are there between 8:13 PM and 5:37 AM?\n | 564\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 21344971?\n | 4\n | ibivibiv/math_instruct | |
What is 3/25 of a meter in centimeters?\n | 12\n | ibivibiv/math_instruct | |
What is a0e5 (base 16) in base 6?\n | 514405\n | ibivibiv/math_instruct | |
Let v = -1.23 + 1.03. Which is the fourth smallest value? (a) 1/4 (b) 0 (c) 0.1 (d) v\n | a\n | ibivibiv/math_instruct | |
Let w be (-134 - -5)/((-2)/6). Suppose 125*x = 122*x + w. Is x composite?\n | True\n | ibivibiv/math_instruct | |
Let w be ((-1)/(-2))/((-10)/(-60)). Is 8/3 < w?\n | True\n | ibivibiv/math_instruct | |
How many kilograms are there in fourty-three halves of a tonne?\n | 21500\n | ibivibiv/math_instruct | |
Suppose 4*b = 2*b + 32. Let o(f) = -4*f + 3. Let g be o(4). Let v = b + g. Which is greater: v or 3/2?\n | v\n | ibivibiv/math_instruct | |
Divide 1 by -9.\n | -1/9\n | ibivibiv/math_instruct | |
Multiply 0.2558444 and 196.\n | 50.1455024\n | ibivibiv/math_instruct | |
What is the closest to -2/9 in 2/3, 2/9, 37, 1.44?\n | 2/9\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 102 and 20550.\n | 6\n | ibivibiv/math_instruct | |
Are -2500/166707 and -1 nonequal?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 i and 2 z when three letters picked without replacement from {z: 12, i: 1}.\n | 3/13\n | ibivibiv/math_instruct | |
Is 242635 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let j be (-2 + 3)*0/2. Suppose 3*g = 7 - 4. Is g >= j?\n | True\n | ibivibiv/math_instruct | |
Let t be -12*(1/3)/((-3)/6). Factor -5*b**2 - 8*b - t*b**2 - 4 + 9*b**2.\n | -4*(b + 1)**2\n | ibivibiv/math_instruct | |
Let x(y) = y**3 - 14*y**2 + 25*y - 101. Give x(13).\n | 55\n | ibivibiv/math_instruct | |
Expand 0*y**3 + 2*y**3 - 3*y**3 + 2*y**3 - 3*y**3 + 0*y**3 + (2*y**2 - 2*y**2 + 3*y**3)*(-1 - 2 + 1).\n | -8*y**3\n | ibivibiv/math_instruct | |
Let n be -4 + -1 - 7*(6 - 40/8). Let d = -8 + 4. Sort n, 0, d.\n | n, d, 0\n | ibivibiv/math_instruct | |
Let y(i) = -32*i + 17. Let h(s) = -49*s + 27. Let w(g) = -5*h(g) + 8*y(g). Let d(j) = -10*j**2. Determine w(d(b)).\n | 110*b**2 + 1\n | ibivibiv/math_instruct | |
What is the nearest to 0 in -1/18, 38, -0.3, -1/3?\n | -1/18\n | ibivibiv/math_instruct |
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