instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Solve 8595*s + 23 = 8618*s for s.\n | 1\n | ibivibiv/math_instruct | |
List the prime factors of -10 + 167034/9 + (-9)/27.\n | 3, 229\n | ibivibiv/math_instruct | |
Rearrange 981*y**2 - 1 + 479*y**3 - 2 - 1984*y**2 + 1000*y**2 to the form d*y**3 + c*y + z + r*y**2 and give z.\n | -3\n | ibivibiv/math_instruct | |
Let u = -5 + 13. Calculate the highest common factor of u and 24.\n | 8\n | ibivibiv/math_instruct | |
Round -0.007960761 to five decimal places.\n | -0.00796\n | ibivibiv/math_instruct | |
List the prime factors of 2622.\n | 2, 3, 19, 23\n | ibivibiv/math_instruct | |
-373207 divided by 35\n | -373207/35\n | ibivibiv/math_instruct | |
Let l(j) = -j**2 + 36750*j + 8803141. What is l(-238)?\n | -3\n | ibivibiv/math_instruct | |
What is the square root of 2319741 to the nearest integer?\n | 1523\n | ibivibiv/math_instruct | |
Find the second derivative of -l**2 - 22*l**2 - 67*l + 18*l**4 + 165*l + 7*l**2 - 1 + 80*l wrt l.\n | 216*l**2 - 32\n | ibivibiv/math_instruct | |
Let c(i) = 4*i**2 - 8*i - 12. Let y(x) = x**3 + 9*x + 10. Let l(f) = -3*c(f) - 4*y(f). Factor l(u).\n | -4*(u + 1)**3\n | ibivibiv/math_instruct | |
Let o(d) = 1. Let m(g) = 46*g + 3. Let z(c) = m(c) - 2*o(c). Let q be z(3). Suppose -4*s + 1 = -q. What is the units digit of s?\n | 5\n | ibivibiv/math_instruct | |
Suppose 4*c - 5*z - 393 = 0, -2*c + 480 = 3*c - 4*z. What is the tens digit of c?\n | 9\n | ibivibiv/math_instruct | |
Rearrange (1 - 2 + 0)*(v + 2 + 22*v + 4*v)*((0*v + 2*v - 4*v)*(21 - 70 + 24) + 1 - 1 - 2*v) to k*v + f + s*v**2 and give f.\n | 0\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) -2/9 (b) 1/23 (c) 7/88 (d) -2/67\n | d\n | ibivibiv/math_instruct | |
Suppose -36 - 38 = 4*o + 5*h, 5*h = 10. Let a be ((-6)/4)/(o/(-28)). Is -23/18 equal to a?\n | False\n | ibivibiv/math_instruct | |
Let w(j) be the first derivative of 0*j**3 - 1/2*j**2 - 1/6*j**6 + 0*j**5 + 1/2*j**4 - 2 + 0*j. Factor w(p).\n | -p*(p - 1)**2*(p + 1)**2\n | ibivibiv/math_instruct | |
Let a(m) = -202*m**3 - 7*m**2 - 8*m + 1. Is a(-2) a multiple of 11?\n | False\n | ibivibiv/math_instruct | |
Simplify (sqrt(270) + sqrt(270) + (sqrt(270) - (sqrt(270)*-2 - sqrt(270)))*3)/(5*2*sqrt(6)).\n | 21*sqrt(5)/5\n | ibivibiv/math_instruct | |
What is 0.000423871979 rounded to four decimal places?\n | 0.0004\n | ibivibiv/math_instruct | |
Simplify (o/((o**(-7/5)*o*o)/o)*o**34*o)/(o**(-21)/(o*o/(o*o**(10/9)*o))) assuming o is positive.\n | o**(2533/45)\n | ibivibiv/math_instruct | |
Express -2*a - 2*a**3 + 2*a + (0 + 6 + 4)*(-4*a**2 + 4*a**2 + 2*a**3) + 532 + 53*a**3 - 532 as x*a**2 + w + y*a + d*a**3 and give y.\n | 0\n | ibivibiv/math_instruct | |
Simplify ((((u**(-5/4)/u)/(u/(u/(u*u/u**(-7/2)))))**19)**(-1/16))**2 assuming u is positive.\n | u**(589/32)\n | ibivibiv/math_instruct | |
Calculate 13 - 3 - 3 - -15 - (10 + -2).\n | 14\n | ibivibiv/math_instruct | |
Let y = -78.5 - -78.50000453. What is y rounded to seven dps?\n | 0.0000045\n | ibivibiv/math_instruct | |
Let p = -11.72 - -11.42. Let z be 1*12 - 84/28. Which is bigger: p or z?\n | z\n | ibivibiv/math_instruct | |
What is the highest common factor of 4 and 13?\n | 1\n | ibivibiv/math_instruct | |
Does 3 divide 1559?\n | False\n | ibivibiv/math_instruct | |
Suppose -6*o + 81 = -3*o. Suppose 5 = 4*t - 3*t. Suppose 5*c + 7 = t*x + o, -6 = 3*x. List the prime factors of c.\n | 2\n | ibivibiv/math_instruct | |
Let m = -360 + 338.9. Round m to the nearest integer.\n | -21\n | ibivibiv/math_instruct | |
Suppose -3*v - 294 = -2*b + 282, -5*v - 964 = -2*b. Let w = 785/4 + v. Factor -3/2*z**2 - w*z**3 - 1/4*z + 0.\n | -z*(3*z + 1)**2/4\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {l: 2, c: 1, y: 1, o: 2, u: 1}. What is prob of picking 1 c, 1 o, and 2 l?\n | 2/35\n | ibivibiv/math_instruct | |
Let t = -0.1391 - -4.2311. Let z = -0.092 + t. Sort 1/8, -0.5, z.\n | -0.5, 1/8, z\n | ibivibiv/math_instruct | |
Let m(g) = -18*g. What is m(1)?\n | -18\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ssjjjsmm. What is prob of picking 2 j?\n | 3/28\n | ibivibiv/math_instruct | |
The Greys bought several chickens at a sale. John took 5 more of the chickens than Mary took. Ray took 6 chickens less than Mary. If Ray took 10 chickens, how many more chickens did John take than Ray? | If Ray took 10 chickens, then Mary took 10 + 6 = 16 chickens.
John took 5 more chickens than Mary, so John took 16 + 5 = 21 chickens.
Therefore, John took 21 - 10 = 11 more chickens than Ray.
#### 11
The answer is: 11 | ibivibiv/math_instruct | |
Suppose -119633 = -79*p + 72*p - 2*o, 3*p = -5*o + 51292. What are the prime factors of p?\n | 23, 743\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 219009 and 21?\n | 21\n | ibivibiv/math_instruct | |
Let s(c) = c**2 + 13*c - 28. Let w be s(-15). Suppose -w = q - 3*q. Are -7 and q equal?\n | False\n | ibivibiv/math_instruct | |
Expand (1 + 2 - 1)*(-g + 2*g**3 + g) + (0*g - g + 2*g)*(0*g**2 - g**2 + 3*g**2) + 8*g**3 + 0*g**3 - 4*g**3 + g + g**3 - g.\n | 11*g**3\n | ibivibiv/math_instruct | |
Which is the fourth smallest value? (a) -2 (b) 144/7 (c) -0.1 (d) -1/25\n | b\n | ibivibiv/math_instruct | |
Solve -2*t + 21 - 3 = 11854*d - 11853*d, -2*t = -3*d + 5*d - 20 for t.\n | 8\n | ibivibiv/math_instruct | |
Suppose 0 = 3*c - 5*c + 152. Suppose 5*d + 5*n = 2*d + 47, -4*d - 4*n + c = 0. Solve 3*a - 5*l = -d, -a - 4*a = 5*l for a.\n | -3\n | ibivibiv/math_instruct | |
Suppose 21*y = 17*y - 3*j + 18653, 0 = 4*y - 2*j - 18678. What are the prime factors of y?\n | 13, 359\n | ibivibiv/math_instruct | |
What is the thousands digit of 55332585?\n | 2\n | ibivibiv/math_instruct | |
Which is greater: 13341 or 13345?\n | 13345\n | ibivibiv/math_instruct | |
Simplify (c**(-5)/(c**(-6)/c))**31/(c**(2/23)*c*c*c**(-1))**(-45) assuming c is positive.\n | c**(2551/23)\n | ibivibiv/math_instruct | |
Let j(a) = a. Let z(f) = f**2 - 8*f - 5. Let p(l) = -6*j(l) - z(l). Let c(t) = 3*t**2 - 5*t - 11. Give 2*c(v) + 5*p(v).\n | v**2 + 3\n | ibivibiv/math_instruct | |
Let h be -1*(-2)/(-4)*0. Suppose 3*r + 3 = -6, -3*b - r + 6 = h. List the prime factors of 2/b*75/2.\n | 5\n | ibivibiv/math_instruct | |
Add 35 and 579.\n | 614\n | ibivibiv/math_instruct | |
Suppose -a**2/3 - 218226*a - 35716940307 = 0. Calculate a.\n | -327339\n | ibivibiv/math_instruct | |
Round -0.0531350827 to 5 dps.\n | -0.05314\n | ibivibiv/math_instruct | |
Let j = 0.01 + -0.2. Let d = -0.07 + j. Let q = d - -0.36. Which is the third biggest value? (a) -0.11 (b) 3 (c) q\n | a\n | ibivibiv/math_instruct | |
Solve 7*z + z - 884 = -23*z - 3*z for z.\n | 26\n | ibivibiv/math_instruct | |
What is 19411/(-1652) + 4/(-16) + (-108)/(-10)?\n | -6/5\n | ibivibiv/math_instruct | |
What is 349026 to the power of 1/5, to the nearest integer?\n | 13\n | ibivibiv/math_instruct | |
Suppose 0*s = -q + 4*s + 325, 3*s = 6. Let h = q + -143. Let v = 302 - h. Calculate the greatest common divisor of v and 16.\n | 16\n | ibivibiv/math_instruct | |
Which is bigger: -66 or -3114/47?\n | -66\n | ibivibiv/math_instruct | |
Let x = -3.6 - -4. Let v be (-1776)/(-7)*11/(-33). Let i = v + 84. Which is the biggest value? (a) 1/4 (b) i (c) x\n | c\n | ibivibiv/math_instruct | |
Suppose -4*d + 4 = 0, 1617*c - 1612*c - 3*d = 62. Let m(f) = -f**2 + 18*f - 69. Determine m(c).\n | -4\n | ibivibiv/math_instruct | |
What is the tens digit of 162123765?\n | 6\n | ibivibiv/math_instruct | |
What is -a923a0 (base 11) in base 10?\n | -1745414\n | ibivibiv/math_instruct | |
Calculate the remainder when 174334 is divided by 1892.\n | 270\n | ibivibiv/math_instruct | |
Calculate -63 divided by -720907.\n | 63/720907\n | ibivibiv/math_instruct | |
Three siblings are born 5 years apart, each. If the eldest child is 20 years old now, whats the total of the ages of the three siblings 10 years from now? | Ten years from now, the elder child will be 20+10 = 30 years old.
If the elder child is 20 years old now, the second born is 20-5 = 15 years old, 5 years younger than the firstborn
Ten years from now, the second-born will be 15+10 = 25 years old.
The total age of the first and second-born 10 years from now will be 25+3... | ibivibiv/math_instruct | |
Collect the terms in 0*q**2 - 8*q**2 + 366*q - 334*q - 334*q + 302*q.\n | -8*q**2\n | ibivibiv/math_instruct | |
Let d = 23731/8 + -2959. What is the common denominator of d and -68/3?\n | 24\n | ibivibiv/math_instruct | |
Express (-98 - 60 - 24)*(-76*h - 27*h - 69*h) in the form q*h + d and give q.\n | 31304\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 656356?\n | 5\n | ibivibiv/math_instruct | |
130 kg of an alloy A is mixed with a certain amount of alloy B. Alloy A has lead and tin in the ratio 2 : 3, and alloy B has tin and copper in the ratio 3 : 4. The amount of tin in the new alloy is 146.57 kg. How much of alloy B was mixed with alloy A? | Lets denote the amount of alloy B mixed with alloy A as \( x \) kg.
From the given information, we know that alloy A has lead and tin in the ratio 2:3. This means that for every 5 parts of alloy A, 2 parts are lead and 3 parts are tin. Since we have 130 kg of alloy A, we can calculate the amount of tin in alloy A as f... | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 721548 and 1447812.\n | 221515236\n | ibivibiv/math_instruct | |
Let s(r) = 34*r. Let c(k) = -131*k + 26. Give c(w) + 3*s(w).\n | -29*w + 26\n | ibivibiv/math_instruct | |
Calculate prob of picking 4 l when four letters picked without replacement from zzzlzzlzlzl.\n | 1/330\n | ibivibiv/math_instruct | |
Let u = 619 - 619. Put u, -3, 28 in increasing order.\n | -3, u, 28\n | ibivibiv/math_instruct | |
Simplify ((sqrt(90)/sqrt(6))/sqrt(5))**2 + sqrt(363) + (-1*sqrt(363) - sqrt(363) - sqrt(363))**2 + sqrt(363).\n | 22*sqrt(3) + 3270\n | ibivibiv/math_instruct | |
Two letters picked without replacement from rgkdkkdkk. Give prob of picking 1 k and 1 r.\n | 5/36\n | ibivibiv/math_instruct | |
Expand (-4*w + 2*w + w)*(17045 + 2215 + 2583 - 3004).\n | -18839*w\n | ibivibiv/math_instruct | |
Let k be 1*(0 + 10 + 2). Let z(a) = -5*a + 120. Let w be z(23). Solve v - 24 = -5*m, -m + 3*m = w*v - k for v.\n | 4\n | ibivibiv/math_instruct | |
Is 9332608327 prime?\n | False\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 224 and 4382.\n | 70112\n | ibivibiv/math_instruct | |
Let o(s) = -6*s**2 - 22*s - 21. Let q be o(-1). Sort 8, 3, 6, q in descending order.\n | 8, 6, 3, q\n | ibivibiv/math_instruct | |
Let d = -0.6 - -0.4. Let p = -0.014 - -19.014. Let o = 19.5 - p. What is the third biggest value in o, d, 0?\n | d\n | ibivibiv/math_instruct | |
Let i be (210/75)/((-3)/(-180)). Let o = i + -40. Is 16 a factor of o?\n | True\n | ibivibiv/math_instruct | |
Expand (2*u - 2*u - u)*(3*u**3 + 2*u**3 - 7*u**3) + 0*u**4 - u**4 + 0*u**4 + 0*u + 0*u - 3*u**4.\n | -2*u**4\n | ibivibiv/math_instruct | |
What is thirty-seven halves of a kilometer in meters?\n | 18500\n | ibivibiv/math_instruct | |
What is the hundreds digit of 9678?\n | 6\n | ibivibiv/math_instruct | |
Let h be 10/(-6) + (-10)/(-15). Let s = 10 - h. What are the prime factors of s?\n | 11\n | ibivibiv/math_instruct | |
Solve 719 = 27*x + 530 for x.\n | 7\n | ibivibiv/math_instruct | |
Let j = 30 + -93. Let i = j - -67. Let d(z) = -z - 2. Calculate the least common multiple of d(-7) and i.\n | 20\n | ibivibiv/math_instruct | |
Expand (2*a - 2*a - 3*a)*(0 - a**2 + 0 + 10 - 3*a**2 - 10 + (-4*a + 6*a - a)*(4*a - 5*a + 0*a)).\n | 15*a**3\n | ibivibiv/math_instruct | |
Simplify ((v**(8/5)*v)/v*v*v)/v*(v**(2/69)*v)/v assuming v is positive.\n | v**(907/345)\n | ibivibiv/math_instruct | |
Express (-3 + 1 - 1)*(-461*u + 217410 - 217410)*(8 + 4 + 4) as n*u + j and give n.\n | 22128\n | ibivibiv/math_instruct | |
What is the square root of 5277 to the nearest integer?\n | 73\n | ibivibiv/math_instruct | |
Simplify (q**(-13/4)/((q/q**(-26))/q*q))**(2/111) assuming q is positive.\n | q**(-121/222)\n | ibivibiv/math_instruct | |
Let t(w) = w**2 - 18*w - 84. Let l be t(22). Let c(q) = q**3 - 3*q**2 - 4. Determine c(l).\n | 12\n | ibivibiv/math_instruct | |
Let k(x) = -2*x**2 + 25*x + 3. Determine k(13).\n | -10\n | ibivibiv/math_instruct | |
Collect the terms in 165 - 297 - 791*g + 132.\n | -791*g\n | ibivibiv/math_instruct | |
Let w = -910247/8 + 113458. Let g = w + 85871/264. What is the common denominator of -13/36 and g?\n | 396\n | ibivibiv/math_instruct | |
Let d = 87 + -83. What is the third smallest value in d, 0.5, -0.2?\n | d\n | ibivibiv/math_instruct | |
Let b = -533 + 553. What is the remainder when 135 is divided by b?\n | 15\n | ibivibiv/math_instruct |
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