instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 8*v - 20*v + 1896 = 0. Let a(x) = 182 - 179 - v + x + x. Let d(s) = -s. Give a(d(t)).\n | -2*t - 155\n | ibivibiv/math_instruct | |
What is the tens digit of 1090050937?\n | 3\n | ibivibiv/math_instruct | |
Does 42 divide 1255392?\n | False\n | ibivibiv/math_instruct | |
Let a = 3357 + -3357. Sort -9/7, -1, -1/8, a in increasing order.\n | -9/7, -1, -1/8, a\n | ibivibiv/math_instruct | |
Simplify (((t/(((t/t**(-7))/t)/t))/(t**(-2/11)/t)*(t*t**(-1/4))**(-1))**(17/3))**(-15) assuming t is positive.\n | t**(17085/44)\n | ibivibiv/math_instruct | |
Calculate 0 + 3 + -2 + 1 - (-400 - -403).\n | -1\n | ibivibiv/math_instruct | |
Let f = 533 - 531. Let p(k) = k**f + k + 126 - 2*k**2 + 129 - 254. Let l(c) = c**2 + 1. Calculate -l(h) + p(h).\n | -2*h**2 + h\n | ibivibiv/math_instruct | |
What is prob of sequence rr when two letters picked without replacement from {u: 2, z: 3, r: 3, v: 7}?\n | 1/35\n | ibivibiv/math_instruct | |
Let b(y) = -6*y + 1. Let o(a) be the third derivative of 0*a + 0 + 1/24*a**4 - 1/6*a**3 - 41*a**2. Give b(q) + 2*o(q).\n | -4*q - 1\n | ibivibiv/math_instruct | |
Suppose 2*y**3 + 28*y**2 - 30*y = 0. Calculate y.\n | -15, 0, 1\n | ibivibiv/math_instruct | |
-9 times -894056\n | 8046504\n | ibivibiv/math_instruct | |
Suppose 4*v = 63 + 33. Find the common denominator of 133/6 and v/(-20)*310/(-64).\n | 48\n | ibivibiv/math_instruct | |
What are the prime factors of 423705969?\n | 3, 47078441\n | ibivibiv/math_instruct | |
Simplify (-4*(4*sqrt(7)*2 - sqrt(7)))**2 - (0 + 3*sqrt(42)/sqrt(6)).\n | -3*sqrt(7) + 5488\n | ibivibiv/math_instruct | |
Which is the closest to 1.9? (a) 4 (b) -33 (c) -4/19\n | a\n | ibivibiv/math_instruct | |
b"What is the rth term of -757, -751, -735, -703, -649, -567, -451?\n" | r**3 - r**2 + 2*r - 759\n | ibivibiv/math_instruct | |
Simplify a**12*a**8 assuming a is positive.\n | a**20\n | ibivibiv/math_instruct | |
Let k(z) = z**3 - 7*z**2 + 4. Let t(i) = i + 4. Let d be t(-1). Suppose 2*v = 5*o - 35, -d*o - 21 = -6*o + 4*v. Let h be k(o). Solve h*c - 4 = -20 for c.\n | -4\n | ibivibiv/math_instruct | |
Let p(k) be the third derivative of -k**8/336 + k**7/210 + k**6/120 - k**5/60 - 2*k**2. Determine i so that p(i) = 0.\n | -1, 0, 1\n | ibivibiv/math_instruct | |
Which is the nearest to -88? (a) 14 (b) -1 (c) -0.3\n | b\n | ibivibiv/math_instruct | |
What is 623 minutes after 2:35 PM?\n | 12:58 AM\n | ibivibiv/math_instruct | |
Let c = 651 + -594. What is the highest common factor of c and 76?\n | 19\n | ibivibiv/math_instruct | |
Let p(x) = 1169*x**2. Let b(o) = 17*o. Determine p(b(w)).\n | 337841*w**2\n | ibivibiv/math_instruct | |
Rearrange (1 - i - 1)*(2 - 4 + 3)*(6 + 11 - 6) to f + a*i and give f.\n | 0\n | ibivibiv/math_instruct | |
Suppose s = -5*q + 35, -5*s = q + 1 - 128. Let m = s - 18. Suppose d - 11 = 3*z, -5*d = -0*z + z - m. Solve 0 = -d*a + 4*a - 4 for a.\n | 2\n | ibivibiv/math_instruct | |
Find the third derivative of 3*p**4 + 6*p**5 - 2254*p**3 - 5*p**5 + 96*p**2 + 2254*p**3 wrt p.\n | 60*p**2 + 72*p\n | ibivibiv/math_instruct | |
Collect the terms in -21*b**2 + 58*b**2 - 34*b**2 - 35*b**2.\n | -32*b**2\n | ibivibiv/math_instruct | |
Collect the terms in -6005 + 6005 + 1750*t - 56*t**3.\n | -56*t**3 + 1750*t\n | ibivibiv/math_instruct | |
Let u(j) = -2*j**3 + 112*j**2 + 86*j - 4818. What is u(56)?\n | -2\n | ibivibiv/math_instruct | |
Simplify (k*k**(-6/7)*k)/(k*k**(3/8)*k)*k*k**(12/7)*k*((k**(-1/60)*k*k)/k)/k*k assuming k is positive.\n | k**(2911/840)\n | ibivibiv/math_instruct | |
Is 32246209 a composite number?\n | False\n | ibivibiv/math_instruct | |
Suppose -3*s = -4*k, k = -k + 5*s. Solve -v + 3 = 4*m + 12, k = -2*m - 5*v - 27 for m.\n | -1\n | ibivibiv/math_instruct | |
Suppose 0 = -5*o - 131 + 126. Let u(r) = r**2 + r + 1. Let c(v) = 3*v**3 + 10*v**2 + 4*v. Let p(w) = o*c(w) + 4*u(w). What is the units digit of p(-5)?\n | 9\n | ibivibiv/math_instruct | |
Does 3 divide 504?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -32*o**2 + 35 + 0*o**2 - 35 + 41*o**2.\n | 9*o**2\n | ibivibiv/math_instruct | |
Let c = 9 - 10. What is the nearest to c in -0.3, 0.1, 0?\n | -0.3\n | ibivibiv/math_instruct | |
Simplify (((sqrt(102) + 3*sqrt(102) + sqrt(102))*3)/(sqrt(96)*6 - sqrt(6)))**2.\n | 3825/529\n | ibivibiv/math_instruct | |
Suppose -4*s + 28 = -4*i + 2*i, -3*i = 3*s + 24. Let g = i + 8. Let u be -3 - (-3 + -2) - g. Solve -u*y + c - 4 + 11 = 0, -3*y - 6 = -3*c for y.\n | 3\n | ibivibiv/math_instruct | |
Find the first derivative of 323 - 107*w**3 - 121*w**3 + 229*w**3 + 74*w**2 wrt w.\n | 3*w**2 + 148*w\n | ibivibiv/math_instruct | |
Let w be 2/9*(-9)/(-6). Put w, 3, 1 in increasing order.\n | w, 1, 3\n | ibivibiv/math_instruct | |
Let q(h) be the first derivative of h**6/120 - 5*h**4/8 - 5*h**2 - 15. Let s(f) be the second derivative of q(f). What is the second derivative of s(y) wrt y?\n | 6*y\n | ibivibiv/math_instruct | |
Solve -3*c - 29 + 1 = y - 1, -2*y - 82 = -8*c for c.\n | 2\n | ibivibiv/math_instruct | |
Let l be (8/(-24))/(2/(-78)). Let s = 11 - l. Let i be (3 - s) + -3 + 1. Solve k = i*k - 8 for k.\n | 4\n | ibivibiv/math_instruct | |
Suppose -k + 4*k = -12. Let l = 3 + k. Which is the second biggest value? (a) -2/7 (b) l (c) -2/15\n | a\n | ibivibiv/math_instruct | |
Let d(v) = -v**2 - 5*v + 7. Let q(b) = b - 11. Let k be q(6). What is the smallest common multiple of d(k) and 6?\n | 42\n | ibivibiv/math_instruct | |
What is -432 divided by 16?\n | -27\n | ibivibiv/math_instruct | |
Is 111600667 a prime number?\n | True\n | ibivibiv/math_instruct | |
Simplify ((a*a**(2/7))/a*a/(a/(a*a*a**(-2/65)))*(a/((a*a**0*a*a)/a)*a)**(-12/13))**(-1/14) assuming a is positive.\n | a**(-513/3185)\n | ibivibiv/math_instruct | |
Let u(t) = -24*t + 3. What is the remainder when u(-15) is divided by 53?\n | 45\n | ibivibiv/math_instruct | |
Suppose f + 6 = -f. Let g(p) = -13*p + 3. Is g(f) a multiple of 16?\n | False\n | ibivibiv/math_instruct | |
Calculate the remainder when 850049 is divided by 84999.\n | 59\n | ibivibiv/math_instruct | |
Let o = -17.8 - -18. What is the closest to 1 in o, -3/5, 0.01?\n | o\n | ibivibiv/math_instruct | |
Simplify ((sqrt(57) + (sqrt(57) - 3*sqrt(57)))/sqrt(3) - sqrt(209)/(sqrt(11)*2))**2.\n | 171/4\n | ibivibiv/math_instruct | |
Collect the terms in -22*n**2 - 23*n**2 - 23*n**2 + 80*n**2.\n | 12*n**2\n | ibivibiv/math_instruct | |
Let p(c) = -c**3 + 16*c**2 - 43*c. Let h be p(4). Let s(b) = 5*b**3 - 2*b + 1. Let j be s(1). Solve j*g = -h, k + 15 = -2*k - 3*g for k.\n | 0\n | ibivibiv/math_instruct | |
Does 15 divide 180?\n | True\n | ibivibiv/math_instruct | |
Expand (11*o**2 + 4*o**3 - 11*o**2)*(2 - o - 2) + 3*o**2 + o**4 + 4*o**2 - 5*o**2.\n | -3*o**4 + 2*o**2\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-38.056 * -58.2153) / (-21.9269 - -86.2929) | 34.4194 | ibivibiv/math_instruct | |
Let c(u) be the second derivative of -49*u**5/10 + u**3/3 - 279*u**2/2 - 5*u + 24. What is the first derivative of c(j) wrt j?\n | -294*j**2 + 2\n | ibivibiv/math_instruct | |
What is the fourth biggest value in 26, -2/4591, 1/7, -0.06, 8?\n | -2/4591\n | ibivibiv/math_instruct | |
What is prob of picking 1 e and 1 a when two letters picked without replacement from {e: 1, t: 4, a: 5, c: 4, j: 3, m: 3}?\n | 1/38\n | ibivibiv/math_instruct | |
Let x = -4.07 + -12.93. Does x = -0.1?\n | False\n | ibivibiv/math_instruct | |
b"What is the jth term of -27074826, -27074832, -27074838?\n" | -6*j - 27074820\n | ibivibiv/math_instruct | |
Is 3051 a factor of 907613075?\n | False\n | ibivibiv/math_instruct | |
Let z(x) = -61*x**2 - x. Let b(l) be the third derivative of l**5/15 + l**2 + 2*l. Determine z(b(n)).\n | -976*n**4 - 4*n**2\n | ibivibiv/math_instruct | |
Is 12 a factor of 1331?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 4:43 AM and 6:33 AM?\n | 110\n | ibivibiv/math_instruct | |
Let v(r) = -7*r**3 + 4*r**2 + 7*r + 4. Let k(l) = -36*l**3 + 21*l**2 + 36*l + 21. Let x(b) = 4*k(b) - 21*v(b). Factor x(q).\n | 3*q*(q - 1)*(q + 1)\n | ibivibiv/math_instruct | |
Let r(k) = k - 1. Let n be r(2). Let w = 20 - 361/18. Which is greater: w or n?\n | n\n | ibivibiv/math_instruct | |
Work out 0 - 0.574.\n | -0.574\n | ibivibiv/math_instruct | |
Let r be 40/60 - (11/3 + 2). Suppose -4*s - 4*x - 24 = -0*x, -4*x + 4 = -3*s. Sort r, -2, s in decreasing order.\n | -2, s, r\n | ibivibiv/math_instruct | |
In base 8, what is -75430 + -455?\n | -76105\n | ibivibiv/math_instruct | |
Let m = -134 + 311. Calculate the common denominator of m/6 + (-4 - -5) and 57/8.\n | 8\n | ibivibiv/math_instruct | |
Find r such that r**5/6 + 339*r**4 - 1064*r**3/3 - 94717*r**2/3 - 121451*r/2 - 89540/3 = 0.\n | -2035, -8, -1, 11\n | ibivibiv/math_instruct | |
Factor 2*v**2 + 0 - 2 - 485*v + 2*v**3 + 0*v**2 + 483*v.\n | 2*(v - 1)*(v + 1)**2\n | ibivibiv/math_instruct | |
In base 11, what is 4 + 477a?\n | 4783\n | ibivibiv/math_instruct | |
Is 26/(-130) - 2/(-10) - -259703 prime?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 9:57 PM and 4:25 AM?\n | 388\n | ibivibiv/math_instruct | |
Determine p, given that -20*p**2 + 103312*p + 41328 = 0.\n | -2/5, 5166\n | ibivibiv/math_instruct | |
Let y(o) be the third derivative of -o**6/24 + 3*o**5/20 + 7*o**4/24 + 5*o**3/6 + o**2 - 30*o. Does 4 divide y(-3)?\n | True\n | ibivibiv/math_instruct | |
Let v = -1 - -4. What is the second biggest value in 0.3, 0.02, v?\n | 0.3\n | ibivibiv/math_instruct | |
Which is bigger: -347 or -346?\n | -346\n | ibivibiv/math_instruct | |
Let p = -6690393 - 11909607. What is p rounded to the nearest one million?\n | -19000000\n | ibivibiv/math_instruct | |
Expand 71*s**2 - 63*s**4 + 77*s**2 - 149*s**2 + 3*s**4 + 2*s**4 - 6*s**4 + (s + 0*s + s)*(-4*s**3 + 0*s**3 + 2*s**3) + s**4 + 3*s**4 - 3*s**4.\n | -67*s**4 - s**2\n | ibivibiv/math_instruct | |
1 + (0 - 1) + 3 + 1\n | 4\n | ibivibiv/math_instruct | |
((10179/145)/(-13))/(5 + -2)*2/(-6)\n | 3/5\n | ibivibiv/math_instruct | |
Let w be (-531)/(-24) - 4/32. Suppose 5*p + 3*d = 2*d + 66, -p + 2*d = -w. Suppose 4 = -10*f + p*f. Which is smaller: f or 3/23?\n | 3/23\n | ibivibiv/math_instruct | |
What is 3 + 2 + (3 + 48 - -3 - 16)?\n | 43\n | ibivibiv/math_instruct | |
What is the tens digit of 77505?\n | 0\n | ibivibiv/math_instruct | |
Expand (7 - 8 - 6 + y**2)*(0*y**3 + y**3 + 0*y**3).\n | y**5 - 7*y**3\n | ibivibiv/math_instruct | |
The standard poodle is 8 inches taller than the miniature poodle, and the miniature poodle is 6 inches taller than the toy poodle. If the standard poodle in 28 inches tall, how tall is the toy poodle in inches? | If the standard poodle is 8 inches taller than the miniature poodle, then the miniature poodle is 28-8=20 inches tall.
And if the miniature poodle is 8 inches taller than the toy poodle, that the toy poodle is 20-6=14 inches tall.
The answer is 14 | ibivibiv/math_instruct | |
Suppose -19 - 1 = -3*w - 4*b, -3*b = 3*w - 18. Solve -3*q - y = -q - 5, -2*y - 14 = -w*q for q.\n | 3\n | ibivibiv/math_instruct | |
Evaluate (-9 - -10 - -2) + -7.\n | -4\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 304975?\n | 3\n | ibivibiv/math_instruct | |
What is the common denominator of 71/414 and 13/1104*(2288/8)/26?\n | 3312\n | ibivibiv/math_instruct | |
Simplify (f**(-2/7))**15/(f**(2/5))**(-19) assuming f is positive.\n | f**(116/35)\n | ibivibiv/math_instruct | |
Let j be (-12)/8*8/(-6). Suppose 10 + 144 = -j*b. Let f = b - -229. What is the highest common factor of f and 19?\n | 19\n | ibivibiv/math_instruct | |
What is -5 - -1 - 371/(-53)?\n | 3\n | ibivibiv/math_instruct | |
What is the thousands digit of 1557?\n | 1\n | ibivibiv/math_instruct | |
Simplify x*x**(1/27)*x*x**(-20)*(x/(x/x**(18/11)*x))/((x/(x/(x*((x/(x/(x*x*x/(x**(14/9)/x))))/x)/x))*x)/x) assuming x is positive.\n | x**(-5575/297)\n | ibivibiv/math_instruct |
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