instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
How many nanograms are there in 9/10 of a microgram?\n | 900\n | ibivibiv/math_instruct | |
If Tyson is 20 years old and Frederick is twice as old as Tyson, and Julian is 20 years younger than Frederick, and Kyle is 5 years older than Julian, what is Kyles age? | Tyson is 20 years old.
Frederick is twice as old as Tyson, so Frederick is 20 * 2 = 40 years old.
Julian is 20 years younger than Frederick, so Julian is 40 - 20 = 20 years old.
Kyle is 5 years older than Julian, so Kyle is 20 + 5 = 25 years old.
Therefore, Kyles age is 25.
#### 25
The answer is: 25 | ibivibiv/math_instruct | |
How many ways are there to put X balls in 3 boxes if the balls are not distinguishable but the boxes are? The answer is 15. 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 balls that can be put in the 3 boxes.
The problem states that the balls are not distinguishable, but the boxes are.
The answer is: 4 | ibivibiv/math_instruct | |
Let y be (4 + -8 - -4) + 3. Solve l = -3*l + t + 13, y*l - 2*t - 16 = 0 for l.\n | 2\n | ibivibiv/math_instruct | |
Let j be (-5)/(10/3)*-2. What is the closest to 2 in -2, 0, j?\n | j\n | ibivibiv/math_instruct | |
Let y(z) = 13*z - 23*z + 5 + 1 - 3. Let b(c) = -11*c + 4. Give -3*b(l) + 4*y(l).\n | -7*l\n | ibivibiv/math_instruct | |
Suppose -3*d = -4*d + 36. Does 9 divide d?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 153214?\n | 2, 76607\n | ibivibiv/math_instruct | |
Is -10/6053 at least 0?\n | False\n | ibivibiv/math_instruct | |
Calculate (12950/(-259))/(4/(-2)).\n | 25\n | ibivibiv/math_instruct | |
b"What is the oth term of -539, -827, -1343, -2087, -3059?\n" | -114*o**2 + 54*o - 479\n | ibivibiv/math_instruct | |
Collect the terms in 10*h**2 + 4*h**2 + 9828*h - 9828*h.\n | 14*h**2\n | ibivibiv/math_instruct | |
How many minutes are there between 3:21 AM and 5:54 AM?\n | 153\n | ibivibiv/math_instruct | |
Simplify n**(-23/4)/(n/n**(1/19)*n*n)*n**(-23)*n*n**19/n assuming n is positive.\n | n**(-965/76)\n | ibivibiv/math_instruct | |
Which is the nearest to -10.5? (a) 1 (b) -2 (c) 2 (d) -8\n | d\n | ibivibiv/math_instruct | |
Let n = 0.5 + 0.015. What is n rounded to two decimal places?\n | 0.52\n | ibivibiv/math_instruct | |
Let h(b) = -b**2 - 10*b + 6. Let o be h(-10). Is (-13900)/(-65) + o/39 a prime number?\n | False\n | ibivibiv/math_instruct | |
Add 134800 and -2272.5.\n | 132527.5\n | ibivibiv/math_instruct | |
Calculate the remainder when 44420 is divided by 36.\n | 32\n | ibivibiv/math_instruct | |
Rearrange t**2 - 2*t**2 + 2 - 9*t**2 to a*t + d*t**2 + y and give d.\n | -10\n | ibivibiv/math_instruct | |
Expand (-2*r + 0*r + 0*r + (-1 + 1 + r)*(0 + 2 + 0) + r + 0*r - 4*r)*(-2 + 4 + 2*r**2 - r**2 + (-r + 4*r - 2*r)*(34*r - 58 + 58)).\n | -105*r**3 - 6*r\n | ibivibiv/math_instruct | |
What is prob of picking 4 i when four letters picked without replacement from aaiaaaiiiirraraa?\n | 1/364\n | ibivibiv/math_instruct | |
What is 21/8 of a microgram in nanograms?\n | 2625\n | ibivibiv/math_instruct | |
In base 6, what is -113 + -1452353?\n | -1452510\n | ibivibiv/math_instruct | |
Let r(b) = b**3 - 3*b**2 - 7*b + 2. Let z be -7*(-1 + 2 - 4 - -2). Is r(z) a multiple of 29?\n | False\n | ibivibiv/math_instruct | |
What is the closest to 0.8 in 1.2, 0, 2?\n | 1.2\n | ibivibiv/math_instruct | |
Let p = 0 + -1. Let n be (p + 1)*(-9)/(-18). Suppose -20 = 5*o, -4*a = -3*o - n*o - 64. Calculate the remainder when 37 is divided by a.\n | 11\n | ibivibiv/math_instruct | |
Express (5*f + 2 - 2 + (-2 + f + 2)*(-3 - 2 + 4))*(-74 + 26 - 63 - 66) in the form z + r*f and give r.\n | -708\n | ibivibiv/math_instruct | |
Solve -3124850*f + 2009 = -3124809*f for f.\n | 49\n | ibivibiv/math_instruct | |
What is the value of 7 - 13 - -18 - (1 - -6)?\n | 5\n | ibivibiv/math_instruct | |
Is 2136 a factor of 21717400?\n | False\n | ibivibiv/math_instruct | |
Let r be 15/(-25) - (-726)/10. Suppose r = 5*g - 2*m, 0*g + m + 29 = 2*g. What is the tens digit of g?\n | 1\n | ibivibiv/math_instruct | |
What comes next: -10589, -10566, -10539, -10508?\n | -10473\n | ibivibiv/math_instruct | |
Suppose -131*s + 44*s + 154512 = 0. What is the hundreds digit of s?\n | 7\n | ibivibiv/math_instruct | |
What is prob of picking 1 g and 1 k when two letters picked without replacement from kqqqkkkg?\n | 1/7\n | ibivibiv/math_instruct | |
-14293 divided by 3798\n | -14293/3798\n | ibivibiv/math_instruct | |
-140 divided by -35\n | 4\n | ibivibiv/math_instruct | |
Divide -220 by -2.\n | 110\n | ibivibiv/math_instruct | |
Evaluate -6 + 3 + -7 + 5.\n | -5\n | ibivibiv/math_instruct | |
Let i(c) = 12*c**2 - 38*c - 22. Let t(r) = 4*r**2 - 13*r - 7. Let l(w) = -5*i(w) + 14*t(w). Factor l(z).\n | -4*(z - 3)*(z + 1)\n | ibivibiv/math_instruct | |
What is eleven tenths of a century in months?\n | 1320\n | ibivibiv/math_instruct | |
Suppose 4*z + 29 = -5*x - 3, -16 = 2*z - x. Let w(b) = b**2 - 4*b + 5. Let p be w(4). Sort z, p, -3 in ascending order.\n | z, -3, p\n | ibivibiv/math_instruct | |
List the prime factors of 128346148.\n | 2, 7, 641, 7151\n | ibivibiv/math_instruct | |
Work out 0.125 * -60794.\n | -7599.25\n | ibivibiv/math_instruct | |
Solve -32*l = 2*b - 35*l - 1, 6*b + 2*l = 36 for b.\n | 5\n | ibivibiv/math_instruct | |
Calculate prob of sequence juu when three letters picked without replacement from jvvjvjurvrtjvujrjj.\n | 7/2448\n | ibivibiv/math_instruct | |
What is the result of the following expression?
28.2212 - 57.0748 | -28.8536 | ibivibiv/math_instruct | |
What is the highest common divisor of 1334330 and 2726?\n | 94\n | ibivibiv/math_instruct | |
How many minutes are there between 9:10 PM and 8:49 AM?\n | 699\n | ibivibiv/math_instruct | |
Let g = 8.1 + -10.1. Let l = 7/10 - 9/20. Let z(w) = w - 2. Let n be z(5). Which is the nearest to l? (a) g (b) 1/4 (c) n\n | b\n | ibivibiv/math_instruct | |
Calculate -351134*-0.393.\n | 137995.662\n | ibivibiv/math_instruct | |
Calculate the remainder when 166984698 is divided by 25.\n | 23\n | ibivibiv/math_instruct | |
Calculate 4574*39.4.\n | 180215.6\n | ibivibiv/math_instruct | |
List the prime factors of 844673.\n | 37, 617\n | ibivibiv/math_instruct | |
Collect the terms in 80 + t - 80.\n | t\n | ibivibiv/math_instruct | |
Divide 5061921 by 5.\n | 5061921/5\n | ibivibiv/math_instruct | |
Let x = -3196 - -3367. Calculate the highest common factor of x and 18639.\n | 171\n | ibivibiv/math_instruct | |
Is 2475 a factor of 418627636?\n | False\n | ibivibiv/math_instruct | |
What is the value of (-2205376)/(-47872) - (-3)/(-44)?\n | 46\n | ibivibiv/math_instruct | |
Round -0.0000013100272 to six dps.\n | -0.000001\n | ibivibiv/math_instruct | |
Is 1758462 even?\n | True\n | ibivibiv/math_instruct | |
Find the first derivative of 19*l**2*r**2 + 45*l**2*r + 5173*l**2 + l*r wrt r.\n | 38*l**2*r + 45*l**2 + l\n | ibivibiv/math_instruct | |
Sort -14, 0, -2, -206, -1 in decreasing order.\n | 0, -1, -2, -14, -206\n | ibivibiv/math_instruct | |
How many decades are there in 44/5 of a century?\n | 88\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {k: 1, a: 2, j: 1, i: 1}. What is prob of sequence ai?\n | 1/10\n | ibivibiv/math_instruct | |
Suppose -w = 5*k - 289 - 8, 0 = -3*w - 9. List the prime factors of k.\n | 2, 3, 5\n | ibivibiv/math_instruct | |
Let a = -449/12 + 583/12. Let n = -23/2 + a. Which is greater: n or 1?\n | 1\n | ibivibiv/math_instruct | |
Suppose 2*d + 10 = 12. Let y(b) = b**2 - 4*b - 1. Let a be y(5). Solve 5*p + 2*z = -3*z + 30, p - a*z - d = 0 for p.\n | 5\n | ibivibiv/math_instruct | |
(-27 - (22 + -7)) + 18\n | -24\n | ibivibiv/math_instruct | |
Calculate the remainder when 202 is divided by 36.\n | 22\n | ibivibiv/math_instruct | |
Suppose 5*q - 40 = -0*q - v, 0 = q - 2*v + 3. Let u be 34/119 + 19/q. Suppose -u + 12 = 3*a. Solve a*h = 4*d + 12, 5*d + 0 = h - 4 for h.\n | 4\n | ibivibiv/math_instruct | |
Let t = -0.12891 + 0.02891. What is the third smallest value in -2/8717, 0, t?\n | 0\n | ibivibiv/math_instruct | |
Suppose 5*j = -2*i + 11256, 3*j + 5*i - 3286 = 3479. Let d = 4591/2 - j. Calculate the common denominator of 37/2 and d.\n | 2\n | ibivibiv/math_instruct | |
Is 105 a factor of 76143690?\n | True\n | ibivibiv/math_instruct | |
Let f(a) be the first derivative of -6*a**3 - 15*a**2/2 + 3*a - 17. Find w such that f(w) = 0.\n | -1, 1/6\n | ibivibiv/math_instruct | |
Let m(i) be the third derivative of -i**6/360 - 11*i**4/24 + 7*i**2. Let z(d) be the second derivative of m(d). Let t(a) = 7*a**2. Determine t(z(u)).\n | 28*u**2\n | ibivibiv/math_instruct | |
Simplify ((r*r*(r**(-9)/r)/r)/r**13)**(-26/9) assuming r is positive.\n | r**(572/9)\n | ibivibiv/math_instruct | |
What is (-1760)/26 - (-284 - -216)?\n | 4/13\n | ibivibiv/math_instruct | |
Does 25 divide 209462725?\n | True\n | ibivibiv/math_instruct | |
Let r be (-2)/((-4)/(-32) + (-69)/(-24)). Which is the third biggest value? (a) -3/22 (b) -0.4 (c) r\n | c\n | ibivibiv/math_instruct | |
Collect the terms in -961*z**3 - 4*z**2 - 20*z**2 + 24*z**2 - 3.\n | -961*z**3 - 3\n | ibivibiv/math_instruct | |
1090+-35663931154\n | -35663930064\n | ibivibiv/math_instruct | |
Is 21600 a multiple of 450?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 2*t + 42407 - 21121 - t - 21286.\n | t\n | ibivibiv/math_instruct | |
Which is bigger: -27255 or -27263?\n | -27255\n | ibivibiv/math_instruct | |
Does 24 divide 64129896?\n | True\n | ibivibiv/math_instruct | |
Let t be (4/6)/2*(10 + 2). Suppose 19*q = -4*q. Solve -c - o + 0 + t = q, 5*o = 5*c for c.\n | 2\n | ibivibiv/math_instruct | |
Suppose 112*w - 23 - 305 = -104. Solve 0 - 72/17*k**w + 0*k + 2/17*k**3 = 0 for k.\n | 0, 36\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 41756 and 312?\n | 250536\n | ibivibiv/math_instruct | |
What is the perimeter of the 4th iteration of the Vicsek fractal, given that the perimeter of the first iteration is 12 units? | The Vicsek fractal is a self-replicating fractal pattern that is formed by successively replacing each square in the pattern with a smaller version of the pattern itself. In each iteration, the perimeter of the fractal increases.
For the first iteration, the perimeter is given as 12 units. In the second iteration, eac... | ibivibiv/math_instruct | |
Let w(m) = m**3 + 23*m**2 - 6*m - 76. Let p be w(-23). What is the greatest common factor of 279 and p?\n | 31\n | ibivibiv/math_instruct | |
Calculate the remainder when 413441 is divided by 313.\n | 281\n | ibivibiv/math_instruct | |
What is 22 (base 3) in base 11?\n | 8\n | ibivibiv/math_instruct | |
What is the next term in -12, -9, -6, -3, 0, 3?\n | 6\n | ibivibiv/math_instruct | |
Suppose -3*i - 129817 = -22*i + 26420. What is the hundreds digit of i?\n | 2\n | ibivibiv/math_instruct | |
Find the third derivative of -764*c**4 + c**3 + 2*c**2 + 1206*c.\n | -18336*c + 6\n | ibivibiv/math_instruct | |
Let a(s) be the second derivative of -s**4/12 + 7*s**3/6 + s**2/2 - 5*s. What is the units digit of a(3)?\n | 3\n | ibivibiv/math_instruct | |
What is (2 - 4/(-8))/(((-21)/18)/7)?\n | -15\n | ibivibiv/math_instruct | |
What is the first derivative of 137889*z**2 + 48860 wrt z?\n | 275778*z\n | ibivibiv/math_instruct | |
How many months are there in 1/6 of a decade?\n | 20\n | ibivibiv/math_instruct |
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