instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let i(a) = -8*a - 7. Suppose -4*r - 2*j - 34 = 0, 9*j - 37 = 4*r + 12*j. What is i(r)?\n | 49\n | ibivibiv/math_instruct | |
b"What is the rth term of 51071, 203661, 457765, 813383, 1270515, 1829161, 2489321?\n" | 50757*r**2 + 319*r - 5\n | ibivibiv/math_instruct | |
Three letters picked without replacement from uxxuxxx. Give prob of picking 3 x.\n | 2/7\n | ibivibiv/math_instruct | |
Expand (7*q**3 + 10*q**3 - 12*q**3)*(5*q**2 - 5*q**2 + 2*q**2).\n | 10*q**5\n | ibivibiv/math_instruct | |
Find the third derivative of -495*c**4 - 29*c**3 + c**2 - 38343*c wrt c.\n | -11880*c - 174\n | ibivibiv/math_instruct | |
Let s(k) = -k**3 - 4*k**2 - k - 1. Let z be s(-4). Suppose 16 = 133*h - 137*h. Which is the third biggest value? (a) -2/9 (b) h (c) z\n | b\n | ibivibiv/math_instruct | |
84 + 350 + -500 - (-1 + 45)\n | -110\n | ibivibiv/math_instruct | |
Expand -32*v**3 + 42*v**3 + 17*v**3 + (4 - 5 + 4)*((3*v**3 - v**3 - 4*v**3)*(0 + 3 - 2) + 2*v**3 - 6*v**3 + 3*v**3 + v**3 - 3*v**3 + v**3).\n | 15*v**3\n | ibivibiv/math_instruct | |
Let q(y) = 9*y. Let t(c) be the second derivative of -3*c**4/2 - 10*c - 4. Determine q(t(s)).\n | -162*s**2\n | ibivibiv/math_instruct | |
3/7 of a congregation are men while 11/21are women. What is the increase in percentage from ratio of men to ratio of women in the congregation?
Answer Choices: (A) A) 69% (B) B) 54% (C) C) 18.81% (D) D) 16% (E) E) 81.82% | Ratio of men: 3/7
Ratio of women: 11/21
percentage increase is (difference/initial quantity)*100
(3/7)/(11/21 )* 100= 81.82%
Correct options is E | ibivibiv/math_instruct | |
Let p be -1*((-2)/(-12) - 1656894/(-48258)). Let f = p + 2/2681. What is the common denominator of f and 92/15?\n | 30\n | ibivibiv/math_instruct | |
What is the next term in 15399, 30778, 46151, 61518, 76879, 92234?\n | 107583\n | ibivibiv/math_instruct | |
Let z = 0.0753 - 324.0753. Let h = 323.044 + z. What is h rounded to 1 dp?\n | -1\n | ibivibiv/math_instruct | |
-1 - -3 - (-32 + 16 + 28)\n | -10\n | ibivibiv/math_instruct | |
Calculate 4 divided by 106.\n | 2/53\n | ibivibiv/math_instruct | |
Let x(w) = -w**2 - 3*w + 5. Let j be x(-3). Suppose -2*m + 0 = -6. Suppose 0 = 5*o - 72 - m. Solve j*z = 2*z + o for z.\n | 5\n | ibivibiv/math_instruct | |
What is next in -52, -76, -94, -100, -88, -52?\n | 14\n | ibivibiv/math_instruct | |
Suppose -2*k + 13*k - 44 = 0. Solve -5*x = -2*o - 11, o + k - 3 = x for o.\n | 2\n | ibivibiv/math_instruct | |
Find the common denominator of -209/210 and -17/112.\n | 1680\n | ibivibiv/math_instruct | |
Divide 156957 by 1.\n | 156957\n | ibivibiv/math_instruct | |
Let h be 3 + 618680/16 - 3/(-2). Let g = h + -1624303/42. What is the common denominator of g and 91/16?\n | 336\n | ibivibiv/math_instruct | |
Let h(t) = 9*t. Let m(g) = g**2 - 2*g - 285169. Calculate m(h(k)).\n | 81*k**2 - 18*k - 285169\n | ibivibiv/math_instruct | |
Let t = -126.063 + 126. Let i = 0.047 + t. What is i rounded to 2 decimal places?\n | -0.02\n | ibivibiv/math_instruct | |
Calculate prob of sequence ojxd when four letters picked without replacement from joojxjodxdjdjdo.\n | 4/819\n | ibivibiv/math_instruct | |
Find the second derivative of 18*a**3 - 215*a**2 + 15708*a wrt a.\n | 108*a - 430\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {q: 5, y: 2, u: 3}. What is prob of picking 1 u and 2 y?\n | 1/40\n | ibivibiv/math_instruct | |
Evaluate (-277)/19667 + (-325)/2130.\n | -1/6\n | ibivibiv/math_instruct | |
Simplify 3 + ((sqrt(80)*-3)**2 - (sqrt(5) - (sqrt(45) + sqrt(180)/sqrt(4)))) + (sqrt(15)/sqrt(3)*4 - -3*(sqrt(125))**2).\n | 9*sqrt(5) + 1098\n | ibivibiv/math_instruct | |
What is next in -8, -7, 0, 13, 32, 57, 88?\n | 125\n | ibivibiv/math_instruct | |
Simplify 2*(1 + 1 + (2*2*sqrt(847) - (sqrt(847) + 0 + 2))*-3)**2.\n | -3168*sqrt(7) + 137342\n | ibivibiv/math_instruct | |
Let c = 5 + -26. Let s = c + 13. What is the units digit of (-1 - -14)*(-8)/s?\n | 3\n | ibivibiv/math_instruct | |
Julia has a parrot and a rabbit. She buys food for both of the animals for $30 in total a week. Julia has the rabbit for 5 weeks, and the parrot for 3 weeks. How much money did Julia already spend on food for her animals, if the weekly cost of the rabbit food is x?
If we know the answer to the above question is 114, wh... | The weekly cost of the rabbit food is x.
Julia has the rabbit for 5 weeks, so the total cost of the rabbit food is 5 * x.
Julia has the parrot for 3 weeks, so the total cost of the parrot food is 3 * (30 - x), since the total cost for both animals is $30.
The total amount of money Julia spent on food for her animals is... | ibivibiv/math_instruct | |
What is the greatest common divisor of 72407 and 183?\n | 61\n | ibivibiv/math_instruct | |
Let v(r) be the first derivative of r**2 - 10*r + 2. Suppose -5*h = -2 + 7, 2*q = h + 29. What is the units digit of v(q)?\n | 8\n | ibivibiv/math_instruct | |
What is 1517110588 less than -0.3?\n | -1517110588.3\n | ibivibiv/math_instruct | |
Evaluate (((-5)/(-21))/(-1))/((-2444)/(-4277)).\n | -5/12\n | ibivibiv/math_instruct | |
Solve 2*a + 8 = 16 for a.\n | 4\n | ibivibiv/math_instruct | |
Is 276829 a multiple of 18?\n | False\n | ibivibiv/math_instruct | |
Evaluate ((384/(-60))/2)/(5 - (-57)/(-15))*6.\n | -16\n | ibivibiv/math_instruct | |
Let g(y) = -2*y - 6. Let b be g(-4). Let r = 6 - b. Suppose -r*o + 22 = -6. List the prime factors of o.\n | 7\n | ibivibiv/math_instruct | |
Let z = -4343275 + 8923275. Round z to the nearest 100000.\n | 4600000\n | ibivibiv/math_instruct | |
Let w(s) = -3*s + 2. Let g(z) be the second derivative of z**5/120 - 2*z**3/3 - 3*z. Let u(x) be the second derivative of g(x). Determine u(w(b)).\n | -3*b + 2\n | ibivibiv/math_instruct | |
Suppose 0 = -c + 5*z - 18 + 4, 0 = c + 2*z - 14. Suppose 2*i - 3*i - 46 = -2*a, 5*a + 3*i = 104. Calculate the smallest common multiple of a and c.\n | 66\n | ibivibiv/math_instruct | |
What is prob of picking 1 u and 1 r when two letters picked without replacement from {c: 3, m: 4, r: 2, s: 1, u: 2}?\n | 2/33\n | ibivibiv/math_instruct | |
Simplify (c*c**4*c*c**(2/3))**(-25)/((c/(c*c*c**(2/15)*c)*c**(2/7))/((c*c**4/c)/(c/c**(-4)))) assuming c is positive.\n | c**(-17411/105)\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 l and 1 t when four letters picked without replacement from ttllflltllt.\n | 8/33\n | ibivibiv/math_instruct | |
What is the common denominator of -143/71832 and 161/4920?\n | 359160\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 669503?\n | 6\n | ibivibiv/math_instruct | |
Let u(s) = s**3 + 13*s**2 - s - 10. Let k be u(-13). Suppose -k*t + 35 = 2*t. Suppose 0 = -o + t. Calculate the highest common divisor of o and 49.\n | 7\n | ibivibiv/math_instruct | |
Express -34357*o - 1 + 0 - 134*o + 1 as r*o + v and give r.\n | -34491\n | ibivibiv/math_instruct | |
Which is greater: 3816662/27 or 141359?\n | 141359\n | ibivibiv/math_instruct | |
b"What is the hth term of 33, 31, 39, 63, 109, 183, 291, 439?\n" | h**3 - h**2 - 6*h + 39\n | ibivibiv/math_instruct | |
What is the highest common divisor of 2547 and 2170327?\n | 283\n | ibivibiv/math_instruct | |
Factor -2*i**2/11 - 1096*i/11 - 150152/11.\n | -2*(i + 274)**2/11\n | ibivibiv/math_instruct | |
Sort -32, -0.041, -2/11, -2 in increasing order.\n | -32, -2, -2/11, -0.041\n | ibivibiv/math_instruct | |
Let s be ((-18)/(-4))/((-9)/(-336)). What is the common denominator of 2 - 4/(s/(-165)) and -101/4?\n | 28\n | ibivibiv/math_instruct | |
Solve -5751 + 28832 = 2531*r - 174187 - 88735 for r.\n | 113\n | ibivibiv/math_instruct | |
Solve 20511*d - 7*k = 20506*d - 120, -d + 40 = -d + 2*k for d.\n | 4\n | ibivibiv/math_instruct | |
Solve 4*v + 4*b = -0 + 20, 0 = 3*v - 5*b - 7 for v.\n | 4\n | ibivibiv/math_instruct | |
Let z(n) = 3*n - 16. Let g be z(11). Suppose g = 5*r - 8. Suppose -3*l = -15, 4*i - 2*l = -5*l + 31. Solve -p + i*p = q - r, -p = 1 for q.\n | 2\n | ibivibiv/math_instruct | |
Suppose -757*i + 15 = -762*i. Which is the nearest to 0.2? (a) -19 (b) i (c) 0.5 (d) 1/6\n | d\n | ibivibiv/math_instruct | |
Suppose -26*i + 31*i - 4*h = 8981, -3*h = 2*i - 3597. List the prime factors of i.\n | 3, 599\n | ibivibiv/math_instruct | |
-3033023 (base 5) to base 4\n | -23333302\n | ibivibiv/math_instruct | |
Let l = 0.135 - 0.345. Let q = -0.31 - l. Which is the closest to -1? (a) 0.2 (b) -2/37 (c) q\n | c\n | ibivibiv/math_instruct | |
What is the common denominator of -52/447 and -46/1341?\n | 1341\n | ibivibiv/math_instruct | |
Let p = 2005 - 2015. Put 14, -5, 1, p in descending order.\n | 14, 1, -5, p\n | ibivibiv/math_instruct | |
Suppose 3*a - 7*a - 4*f = 12, -3*a - 2*f = 6. Suppose 2*v - 301 = 5*c - 1373, -5*c - 4*v + 1096 = a. Is c a multiple of 18?\n | True\n | ibivibiv/math_instruct | |
Let t(g) = 20*g. Let q(l) = 1 - 7*l - 1. Let c(s) = s**2 - 4*s - 27. Let m be c(7). Determine m*t(f) - 17*q(f).\n | -f\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 u and 1 a when two letters picked without replacement from uujduudjjujajjjj.\n | 1/24\n | ibivibiv/math_instruct | |
Calculate (84*36/36540)/((-174)/(-145)).\n | 2/29\n | ibivibiv/math_instruct | |
Let i(l) be the second derivative of -l**4/12 + 11*l**3/6 + 2*l**2 + 3*l. Let f be (-2 - -14)/((-3)/(-2)). What is the units digit of i(f)?\n | 8\n | ibivibiv/math_instruct | |
b"What is the nth term of -34758, -34115, -33050, -31563, -29654?\n" | 211*n**2 + 10*n - 34979\n | ibivibiv/math_instruct | |
What is prob of picking 1 p and 1 s when two letters picked without replacement from {l: 2, p: 1, c: 2, g: 2, s: 7, z: 1}?\n | 1/15\n | ibivibiv/math_instruct | |
b"What is the cth term of -64327, -129634, -194941, -260248, -325555?\n" | -65307*c + 980\n | ibivibiv/math_instruct | |
In base 15, what is -7d135dc + 4?\n | -7d135d8\n | ibivibiv/math_instruct | |
Let r = 6.7150357 + -6.7209. Round r to 4 decimal places.\n | -0.0059\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 j and 2 d when four letters picked without replacement from rrdjrrrjjddj.\n | 2/55\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# In Each of the Following Figures, You Find Who Triangles. Indicate Whether the Triangles Are Similar. Give Reasons in Support of Your Answer. - Mathematics
Sum
In each of the following figures, you find who triangles. Ind... | When dealing with geometry, specifically triangles, one important concept is that of similar triangles. Two triangles are considered similar if their corresponding angles are congruent (the same) and the lengths of their corresponding sides are proportional. This means that if we was to scale up or down one triangle, ... | ibivibiv/math_instruct | |
Calculate ((372/310)/(8/5))/((-2)/(-40)).\n | 15\n | ibivibiv/math_instruct | |
What is (-6)/(-126)*18/2?\n | 3/7\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {e: 1, z: 2, f: 2, h: 1, q: 1, a: 2}. Give prob of sequence qf.\n | 1/36\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 1054 and 25110.\n | 62\n | ibivibiv/math_instruct | |
Simplify (z**(-2)/z**(-4)*z**(-7)*z*z/(z/z**(1/4))*z*z*z)**(-4/15) assuming z is positive.\n | z**(1/5)\n | ibivibiv/math_instruct | |
Solve -7*w + 23 = 96322*c - 96323*c, 0 = c - 2*w + 3 for c.\n | 5\n | ibivibiv/math_instruct | |
Let k = 0 + -0.5. Let g be (-20)/240 - 78/792. Let b = 0.07 + -5.07. What is the third smallest value in k, b, g?\n | g\n | ibivibiv/math_instruct | |
Let t(q) be the third derivative of -q**6/360 - q**5/20 - q**4/12 - 77*q**3/6 - 71*q**2. Let f(b) be the first derivative of t(b). What is f(-5)?\n | 3\n | ibivibiv/math_instruct | |
Calculate ((-40)/((-20)/(-2)))/(20/(-420)*(-6)/2).\n | -28\n | ibivibiv/math_instruct | |
What is the next term in 6231, 6230, 6229, 6228, 6227?\n | 6226\n | ibivibiv/math_instruct | |
488/(-1525)*-350 + -29\n | 83\n | ibivibiv/math_instruct | |
Calculate -1020*-2837.\n | 2893740\n | ibivibiv/math_instruct | |
Let b(j) = 4*j**2 - 3*j - 4. Let g(k) = -3*k**2 + 2*k + 3. Let p(u) = -2*b(u) - 3*g(u). Let s be p(2). Let o(m) = 11*m**2 - 3*m + 3. Is o(s) prime?\n | False\n | ibivibiv/math_instruct | |
What is the value of ((-2208)/(-736))/(70/(-38) - -2)?\n | 19\n | ibivibiv/math_instruct | |
Solve -3*u = 2*b + 6, 405 = 4*u - 12*b + 413 for u.\n | -2\n | ibivibiv/math_instruct | |
Suppose 3*l - 27 = -3*i, 12 = -l + 3*i + 1. Solve -5*f = -2*z - 3*f + l, -z = 3*f - 10 for z.\n | 4\n | ibivibiv/math_instruct | |
Let f(i) be the first derivative of i**3 - i**2/2 - i + 5. Is f(-1) a composite number?\n | False\n | ibivibiv/math_instruct | |
Two letters picked without replacement from ndlulldnllwlunlunll. Give prob of sequence dw.\n | 1/171\n | ibivibiv/math_instruct | |
Divide -41 by -5.\n | 41/5\n | ibivibiv/math_instruct | |
What is the nearest to -1/5 in 1, -2, -1/229, -3/23, 3?\n | -3/23\n | ibivibiv/math_instruct | |
What comes next: 12, 35, 62, 87, 104, 107, 90, 47?\n | -28\n | ibivibiv/math_instruct | |
Let m = 240 + 82. Is 14 a factor of m?\n | True\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.