instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let s = -10951 + 10999. What is the smallest common multiple of s and 519?\n | 8304\n | ibivibiv/math_instruct | |
Let h(x) = 3*x - 16. Let v be h(5). Let k be -8*-2*(-2)/(-60). Let l = k - 1/5. What is the nearest to v in l, -1, 5?\n | -1\n | ibivibiv/math_instruct | |
What comes next: 106, 98, 78, 40, -22, -114, -242, -412?\n | -630\n | ibivibiv/math_instruct | |
What is 663 divided by 6?\n | 221/2\n | ibivibiv/math_instruct | |
Let z = -18 - -19. List the prime factors of ((0 - -1)*z)/((-4)/(-100)).\n | 5\n | ibivibiv/math_instruct | |
Factor -2*k**3 - 2238*k**2 - 834774*k - 103790234.\n | -2*(k + 373)**3\n | ibivibiv/math_instruct | |
Let j(c) = c**2 + 9*c + 7. Calculate the smallest common multiple of 11 and j(-9).\n | 77\n | ibivibiv/math_instruct | |
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? | Lets denote the unknown constant speed of the car as \( v \) km/h.
First, we need to find out how long it takes to travel 1 kilometer at 100 km/h. Since speed is distance divided by time, we can rearrange this to find time as distance divided by speed.
Time to travel 1 km at 100 km/h is:
\[ \text{Time} = \frac{\text{... | ibivibiv/math_instruct | |
Calculate the remainder when 98977 is divided by 17628.\n | 10837\n | ibivibiv/math_instruct | |
91/182*-1*12\n | -6\n | ibivibiv/math_instruct | |
Let a(t) = 7*t**4 - 4*t**3 + 3*t**2 - t + 5. Let p(f) = -12*f + 12*f + 3 + 1 - 4*f**3 + 6*f**4 + 2*f**2. Let s(v) = -4*a(v) + 5*p(v). Factor s(d).\n | 2*d*(d - 2)*(d - 1)*(d + 1)\n | ibivibiv/math_instruct | |
What is the tens digit of 17?\n | 1\n | ibivibiv/math_instruct | |
What are the prime factors of 9074?\n | 2, 13, 349\n | ibivibiv/math_instruct | |
Let r = -7779587/34181524 - 2/127543. Find the common denominator of r and -115/12.\n | 804\n | ibivibiv/math_instruct | |
Let l be (36/(-21))/((-2)/14). List the prime factors of ((-8)/(-6))/(2/l).\n | 2\n | ibivibiv/math_instruct | |
(11 - 5) + -125 + 175\n | 56\n | ibivibiv/math_instruct | |
Is 56472811 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is 10534 to the power of 1/5, to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
Suppose 3*p = -2 + 32. Suppose 0 = -3*i - i + 8. Suppose 0 = i*f - 2 - 138. What is the highest common divisor of p and f?\n | 10\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 217020 and 60.\n | 60\n | ibivibiv/math_instruct | |
Suppose -1 = -3*u + 2. Let j(p) be the third derivative of 2 - 1/20*p**5 + 1/6*p**3 + 0*p - 1/24*p**4 + 27*p**2. Calculate j(u).\n | -3\n | ibivibiv/math_instruct | |
Let m(d) be the third derivative of -2/39*d**3 - 1/390*d**5 + 0*d + 1/52*d**4 + 94*d**2 + 0. Let m(f) = 0. Calculate f.\n | 1, 2\n | ibivibiv/math_instruct | |
Calculate the remainder when 70912 is divided by 23609.\n | 85\n | ibivibiv/math_instruct | |
What is -0.17742 rounded to three decimal places?\n | -0.177\n | ibivibiv/math_instruct | |
What is the cube root of 381983 to the nearest integer?\n | 73\n | ibivibiv/math_instruct | |
What is the third root of 6635 to the nearest integer?\n | 19\n | ibivibiv/math_instruct | |
Let n(s) = 2*s**2 - 148*s - 4212. Determine n(-22).\n | 12\n | ibivibiv/math_instruct | |
Suppose -9*d = -2975 + 3002. Put -2, d, 5, -6, 10 in increasing order.\n | -6, d, -2, 5, 10\n | ibivibiv/math_instruct | |
Let o = -41 - -37. Let i be o/(-4) + -6 + 7. Let q be 55/i - (-21)/(-42). Solve -5 = -0*l + l, -3*l = -4*w + q for w.\n | 3\n | ibivibiv/math_instruct | |
Rearrange (5*x - 5*x + x)*(4 + 0 - 2)*(-2 + 0 + 4)*(4044*x + 3408*x - 3397*x + 7272*x) to j*x**2 + f + d*x and give j.\n | 45308\n | ibivibiv/math_instruct | |
Find the second derivative of 209701248*d**5 - 143367129*d wrt d.\n | 4194024960*d**3\n | ibivibiv/math_instruct | |
Suppose s - d - 3*d = -10, 0 = -5*s - 2*d - 116. Let q be (-4)/(-2) + 24 + s. Suppose -4*j + 20 = q. Is j > 2?\n | True\n | ibivibiv/math_instruct | |
What is the common denominator of -7*((-8)/30)/(-4) and 7/645?\n | 645\n | ibivibiv/math_instruct | |
What comes next: -23634, -38062, -62108, -95772?\n | -139054\n | ibivibiv/math_instruct | |
Suppose -12 = 3*l, -3*y + 20 + 19 = -3*l. Let i = y + -5. What is the units digit of (-6)/i - 846/(-12)?\n | 9\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) 4/3 (b) -0.1 (c) -22 (d) -2/9 (e) -119\n | c\n | ibivibiv/math_instruct | |
Two letters picked without replacement from aczzra. What is prob of sequence aa?\n | 1/15\n | ibivibiv/math_instruct | |
Expand (-246 + 118 + 130 - 14*p)*(-4 - 2*p**2 + 4)*(-5 + 12 - 2).\n | 140*p**3 - 20*p**2\n | ibivibiv/math_instruct | |
How many seconds are there in 11/4 of a minute?\n | 165\n | ibivibiv/math_instruct | |
Sort -2, 3, -262249, 4, -41 in decreasing order.\n | 4, 3, -2, -41, -262249\n | ibivibiv/math_instruct | |
Does 242 divide 25465?\n | False\n | ibivibiv/math_instruct | |
Do -10 and -119/12 have different values?\n | True\n | ibivibiv/math_instruct | |
Differentiate b**3*f*h*k - 8*b**3*f*k + 123*b**2*f*h*k + 3*b**2*f + b**2*k + f with respect to h.\n | b**3*f*k + 123*b**2*f*k\n | ibivibiv/math_instruct | |
Let n be -6 + 1 + 2 - -6. Suppose -n*y + 29 = t, 0 = -y + 6*t - t - 1. Let q = 6 + 0. Calculate the remainder when y is divided by q.\n | 3\n | ibivibiv/math_instruct | |
Convert 650557.4l to millilitres.\n | 650557400\n | ibivibiv/math_instruct | |
What is the result of the following expression?
10.862 - 15.743 | -4.881 | ibivibiv/math_instruct | |
Let a(d) = -11 - 5*d + 7 + 2904*d**2 - 2. Is a(-1) prime?\n | True\n | ibivibiv/math_instruct | |
Let v = -179 - -179. Let j be ((v - -11)/231)/((-1)/(-3)). Find q, given that -1/7*q - j*q**2 + 0 = 0.\n | -1, 0\n | ibivibiv/math_instruct | |
What is prob of sequence jjcj when four letters picked without replacement from {n: 2, j: 1, b: 3, k: 4, c: 1}?\n | 0\n | ibivibiv/math_instruct | |
What is the derivative of 1037*t**2 + 271*t + 14930800 wrt t?\n | 2074*t + 271\n | ibivibiv/math_instruct | |
Evaluate ((-4)/10 - -1)/((-75)/50).\n | -2/5\n | ibivibiv/math_instruct | |
What comes next: -7087, -5576, -3069, 434, 4933, 10428, 16919?\n | 24406\n | ibivibiv/math_instruct | |
How many minutes are there between 10:09 PM and 9:46 AM?\n | 697\n | ibivibiv/math_instruct | |
Expand (0 - 2*t + 0)*(2 - 4 + 3) - t + 2*t + 2*t + (-2*t - 5*t + 4*t)*(-3 + 5 + 0).\n | -5*t\n | ibivibiv/math_instruct | |
What is next in 81, 103, 129, 153, 169, 171?\n | 153\n | ibivibiv/math_instruct | |
Solve -4*n + 6*t - 3*t + 23 = 0, -t - 11 = -2*n for n.\n | 5\n | ibivibiv/math_instruct | |
What is the common denominator of 84/(-7)*3/(-33) and -59/5?\n | 55\n | ibivibiv/math_instruct | |
In base 10, what is 4406 + -3572?\n | 834\n | ibivibiv/math_instruct | |
Suppose -2*m = -7*m + 5. Let p(v) = -m + 0 + 4*v - 10*v - v**3 - 5*v**2. Let j be p(-6). Round j to the nearest 10.\n | 70\n | ibivibiv/math_instruct | |
Is 12906795757 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let w(o) = 899996*o - 20. Let h be w(-5). Round h to the nearest one million.\n | -5000000\n | ibivibiv/math_instruct | |
Which is the nearest to -0.6? (a) -1.1 (b) 3.7 (c) 1 (d) -1/2 (e) -8\n | d\n | ibivibiv/math_instruct | |
Let i be (2 + -3)*(-14 - 2117) - 6. Suppose -2131*u = -i*u - 54. Calculate the smallest common multiple of 29 and u.\n | 261\n | ibivibiv/math_instruct | |
-0.1 + -235597\n | -235597.1\n | ibivibiv/math_instruct | |
Let q(v) = -v**3 + v**2 - v - 1. Let u(r) = r**2 - r + 4. Let x(o) = -q(o) + u(o). Calculate x(0).\n | 5\n | ibivibiv/math_instruct | |
Solve 4*r + 24*i = 23*i + 8, -2*r + 4 = 31*i for r.\n | 2\n | ibivibiv/math_instruct | |
What is the third root of 110322082 to the nearest integer?\n | 480\n | ibivibiv/math_instruct | |
Let c(r) be the third derivative of 5*r**4/12 + 2*r**2. Suppose -2*b + 10 = -b - 3*s, -14 = -2*b + 4*s. List the prime factors of c(b).\n | 2, 5\n | ibivibiv/math_instruct | |
What is prob of sequence ow when two letters picked without replacement from {o: 1, f: 5, w: 3, n: 7}?\n | 1/80\n | ibivibiv/math_instruct | |
Suppose 5*n - 4 = 6. Suppose -16 = 2*a + v + 41, 88 = -3*a - n*v. Let o = -14 - a. Calculate the highest common divisor of o and 36.\n | 12\n | ibivibiv/math_instruct | |
Solve -2*o - 2*x - 4 = 0, -80*x = -4*o - 81*x - 20 for o.\n | -6\n | ibivibiv/math_instruct | |
Let r(h) = -3*h**2 + 3*h. Let m(g) = 4*g**2 - 3*g + 1. Let f(j) = -2*m(j) - 3*r(j). Let z be f(4). Let a be (-2 - 1)/(0 + 1). Sort z, a, 0 in descending order.\n | z, 0, a\n | ibivibiv/math_instruct | |
Suppose -l + 0*l = -6. Suppose -l*q + 4 = -4*q. Let v = -28 + 31. Which is smaller: v or q?\n | q\n | ibivibiv/math_instruct | |
Evaluate 86 + -83 + (2 - 1).\n | 4\n | ibivibiv/math_instruct | |
What is -447 (base 9) in base 12?\n | -267\n | ibivibiv/math_instruct | |
Calculate the remainder when 66992813 is divided by 13398561.\n | 8\n | ibivibiv/math_instruct | |
Suppose -5087 = 7*l - 4940. Put 3, -2/17, 6, l, 4 in increasing order.\n | l, -2/17, 3, 4, 6\n | ibivibiv/math_instruct | |
Let c(r) = -r + 8. Suppose -30 = -2*n - 3*n. Let v(s) = 1. What is n*v(o) - c(o)?\n | o - 2\n | ibivibiv/math_instruct | |
What is the value of (-28)/196*70*2/5?\n | -4\n | ibivibiv/math_instruct | |
Is 3431089 composite?\n | False\n | ibivibiv/math_instruct | |
b"What is the gth term of -2748, -5516, -8306, -11130, -14000?\n" | -2*g**3 + g**2 - 2757*g + 10\n | ibivibiv/math_instruct | |
Solve 4*y = 44 - 56 for y.\n | -3\n | ibivibiv/math_instruct | |
Factor 3*g**4 - 477*g**3 + 20055*g**2 - 82467*g - 249018.\n | 3*(g - 77)**2*(g - 7)*(g + 2)\n | ibivibiv/math_instruct | |
Let z be (0 + -1)*1 - -1. Let h(t) = -t - 4. Let l be h(-7). Solve -l*g = 1 + 2, -3*f - g - 16 = z for f.\n | -5\n | ibivibiv/math_instruct | |
Which is the nearest to 1? (a) -1 (b) -3/32 (c) 5 (d) 0.2 (e) -0.052\n | d\n | ibivibiv/math_instruct | |
What is the hundreds digit of 617/(-1)*1/(-1)*5?\n | 0\n | ibivibiv/math_instruct | |
Let g(f) = f**3 - f**2 + 2*f - 1. Suppose -4*o + 6 = -o. Let c be g(o). Suppose -3*y - 44000 = -c*y. Round y to the nearest 10000.\n | 10000\n | ibivibiv/math_instruct | |
Which is smaller: -0.7 or 28/9?\n | -0.7\n | ibivibiv/math_instruct | |
Let f(r) = r**3 + 9*r**2 + 10*r + 4. Let d be f(-8). Let v be (8/d)/((-2)/9). Solve -3 = 2*i - v*i for i.\n | 3\n | ibivibiv/math_instruct | |
Let p be 1/(5*(-3)/15 + 2). Which is the fourth smallest value? (a) -3 (b) -0.11 (c) -0.1 (d) p (e) 1/2\n | e\n | ibivibiv/math_instruct | |
What is -378703900 rounded to the nearest 100000?\n | -378700000\n | ibivibiv/math_instruct | |
Solve 31*f = 134*f + 123*f - 7232 for f.\n | 32\n | ibivibiv/math_instruct | |
Let h(p) = p**3 + 2 - 4 + 3. Let o(i) = 4*i**2 - 6*i**3 - 5*i**2 + 3*i**2 - 2*i - 4. Give 4*h(s) + o(s).\n | -2*s**3 + 2*s**2 - 2*s\n | ibivibiv/math_instruct | |
Suppose 0 = -l - 2*l - 24. Let v = -4 - l. Suppose v*i + 1 = z, -5*i - 5*z + 2 = -3. Which is the second biggest value? (a) -5 (b) i (c) 3\n | b\n | ibivibiv/math_instruct | |
What is the tens digit of 525024956?\n | 5\n | ibivibiv/math_instruct | |
b"What is the lth term of 29572, 29559, 29528, 29479, 29412?\n" | -9*l**2 + 14*l + 29567\n | ibivibiv/math_instruct | |
Is 2645311 a composite number?\n | False\n | ibivibiv/math_instruct | |
Put -4, 9, -10, -1, 11 in descending order.\n | 11, 9, -1, -4, -10\n | ibivibiv/math_instruct | |
Suppose -z = 2*p - 4*p - 2, 2*p + z = 6. Let t be (33/6)/p - 1/2. Factor 5*o**3 - 3*o**3 - t*o**4 + o**2 + 6*o**4 + 0*o**3.\n | o**2*(o + 1)**2\n | ibivibiv/math_instruct | |
Let n(g) = 2345*g**2 + 49*g + 49. Let f(m) = -293*m**2 - 6*m - 6. Give 49*f(k) + 6*n(k).\n | -287*k**2\n | ibivibiv/math_instruct |
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