instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate (1 + 2/(-8))/((-24)/(-32)).\n | 1\n | ibivibiv/math_instruct | |
Let x(i) = 2*i**2 + 2*i + 3. Let z = -9 - -12. Give x(z).\n | 27\n | ibivibiv/math_instruct | |
Suppose d = 5*a + 4*d - 16, 2*a - 19 = 3*d. Suppose -5*o + a = 0, -5*o + 3 + 2 = -f. What is v in 2*v**4 - 1/2*v - 2*v**2 + f + 1/2*v**3 = 0?\n | -1, -1/4, 0, 1\n | ibivibiv/math_instruct | |
Solve 83822 + 83592 - 41482 = 6628*d for d.\n | 19\n | ibivibiv/math_instruct | |
What is prob of picking 4 v when four letters picked without replacement from {r: 5, o: 3, q: 2, v: 5}?\n | 1/273\n | ibivibiv/math_instruct | |
Let y(x) be the second derivative of 0 + 1/60*x**5 + 0*x**2 - 2*x + 0*x**3 - 1/18*x**4. Factor y(r).\n | r**2*(r - 2)/3\n | ibivibiv/math_instruct | |
List the prime factors of 59996.\n | 2, 53, 283\n | ibivibiv/math_instruct | |
Solve 2*y - 34 + 44 = -2*m, 4*m + 23 = -5*y for m.\n | -2\n | ibivibiv/math_instruct | |
Let k(w) = -w**2 - 2*w + 2. Let a be k(-2). Suppose -1 = a*h - 13. Let r = 1 - -3. What is the highest common divisor of h and r?\n | 2\n | ibivibiv/math_instruct | |
How many minutes are there between 1:47 PM and 12:04 AM?\n | 617\n | ibivibiv/math_instruct | |
Let z = -500 - -501. What is the closest to 0 in z, 3, -20?\n | z\n | ibivibiv/math_instruct | |
What is ((1 - (-7 - -23)) + 5 - 15) + 4 + -12?\n | -33\n | ibivibiv/math_instruct | |
-0.43*8\n | -3.44\n | ibivibiv/math_instruct | |
Let y be 0/(9*1/3). Suppose o - 19 + 8 = y. Let z = o - 7. Solve z*j + 2*t = 10, -3*t = 5*j - 15 + 5 for j.\n | 5\n | ibivibiv/math_instruct | |
Solve 5*a + 31*a = -14*a - 3153 - 147 for a.\n | -66\n | ibivibiv/math_instruct | |
Evaluate (6/4)/(60/200).\n | 5\n | ibivibiv/math_instruct | |
What is the third smallest value in 0.4, 1690, -1/2, 3/2, 4, 2/7?\n | 0.4\n | ibivibiv/math_instruct | |
Let l = 1219.6 - 1220. What is the second smallest value in 1, 43, l, 1/4, 0?\n | 0\n | ibivibiv/math_instruct | |
Round 0.003012 to 4 dps.\n | 0.003\n | ibivibiv/math_instruct | |
Let z(t) = t**2 - 3*t + 2. Let f be z(2). Solve f*k - 4*k + 8 = 0 for k.\n | 2\n | ibivibiv/math_instruct | |
Let f = 311915/18 + -17336. What is the common denominator of f and 95/4?\n | 36\n | ibivibiv/math_instruct | |
Let c = 20.373 + -20.44. Is c < 5?\n | True\n | ibivibiv/math_instruct | |
Let b(f) = 9266*f + 27776. Calculate b(-3).\n | -22\n | ibivibiv/math_instruct | |
Let g = 85/2 - 42. What is the nearest to 2 in g, -4, 0.2, -0.002?\n | g\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -443 (b) 0.04 (c) -1/2 (d) -1 (e) -0.46 (f) 4\n | f\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 y, 1 f, and 1 e when four letters picked without replacement from sejyayfeasesjeess.\n | 1/476\n | ibivibiv/math_instruct | |
Let x = 488 - 314. Suppose -5*r + 1083*j - 1084*j = -568, -3*j = 36. What is the highest common divisor of r and x?\n | 58\n | ibivibiv/math_instruct | |
Calculate the remainder when 185823 is divided by 4038.\n | 75\n | ibivibiv/math_instruct | |
What are the prime factors of 2153?\n | 2153\n | ibivibiv/math_instruct | |
Let p = -2297 - -2280. Which is the second smallest value? (a) 5/3 (b) p (c) 2 (d) -4\n | d\n | ibivibiv/math_instruct | |
Let k be 23/3 - (-21)/63. Let n(r) = 9*r + 19. Let p be n(k). Let v = p - 26. List the prime factors of v.\n | 5, 13\n | ibivibiv/math_instruct | |
Does 2289 divide 49744548?\n | True\n | ibivibiv/math_instruct | |
Let m be 2 + 0 + (-8 - -3). Let a be 0*(-2)/(1 + m). Suppose -5*h - j = -82, a = -5*j + 6 + 4. Is h a multiple of 7?\n | False\n | ibivibiv/math_instruct | |
Sort -2/9, 1/5, -28, 5, 2069830 in descending order.\n | 2069830, 5, 1/5, -2/9, -28\n | ibivibiv/math_instruct | |
Suppose -n - 4*s = 2*n - 5, 3*n - 14 = 5*s. Suppose n*l = -2*l + 15. What is the second derivative of -4*a**3 + a**3 + 5*a**l - 2*a wrt a?\n | 12*a\n | ibivibiv/math_instruct | |
Which is bigger: 5 or -485?\n | 5\n | ibivibiv/math_instruct | |
-82 divided by -2\n | 41\n | ibivibiv/math_instruct | |
What is the second biggest value in 0.12, 0.04, -1/6?\n | 0.04\n | ibivibiv/math_instruct | |
Let b be (1 + (0 - 0))*3. Suppose 4*q - 16 = -b*o, -2*o - 2*q = o - 8. Let i(c) = -c**3 - c**2 - c + 6. Is i(o) composite?\n | True\n | ibivibiv/math_instruct | |
Let o(z) = z + 5. Let i be (-6)/(-6 - -12) + 9. Let t be (-98)/i + 28/112. What is o(t)?\n | -7\n | ibivibiv/math_instruct | |
What are the prime factors of 62053264?\n | 2, 7, 13, 17, 23, 109\n | ibivibiv/math_instruct | |
Evaluate (1 - 0) + -3 + 43 + -43.\n | -2\n | ibivibiv/math_instruct | |
Let s = 64.587 + -1.587. Which is the third smallest value? (a) 0.3 (b) s (c) 1\n | b\n | ibivibiv/math_instruct | |
Let c = -642 - -639. Let t = 2.8 - 3. Which is bigger: c or t?\n | t\n | ibivibiv/math_instruct | |
Hani said she would do 3 more situps per minute than Diana would. Diana then did 40 situps at a rate of 4 situps per minute. Calculate the total number of situps they did together. | If Diana did 40 situps at a rate of 4 situps per minute, then she did the situps in 40 / 4 = 10 minutes.
Now, lets say Hani did 3 more situps per minute than Diana, so she did 4 + 3 = 7 situps per minute.
Since Diana did the situps in 10 minutes, Hani did 7 * 10 = 70 situps in total.
Therefore, together, they did 40 + ... | ibivibiv/math_instruct | |
Let x(s) = 12*s**2 - s - 1. Let l = -5 - -12. Suppose -4*o + d = -0*d + 6, 0 = -o + 3*d - l. Let m be x(o). Solve i = -3*i + m for i.\n | 3\n | ibivibiv/math_instruct | |
Suppose -h + 15 = 2*w, 4*h + 9*w - 4*w - 45 = 0. What is the remainder when 30 is divided by h?\n | 0\n | ibivibiv/math_instruct | |
Simplify (l**(-1))**21*(l**(-2/3)*l*l)**(-30) assuming l is positive.\n | l**(-61)\n | ibivibiv/math_instruct | |
How many millilitres are there in 3/50 of a litre?\n | 60\n | ibivibiv/math_instruct | |
Let a(c) = c**3 - 7*c**2 - c + 6. Calculate a(6).\n | -36\n | ibivibiv/math_instruct | |
Simplify 3*(-5 + (sqrt(2) - (sqrt(32) - sqrt(32)*-1) - sqrt(16)/sqrt(2) - (sqrt(2)*-1 + 2 + sqrt(2) + (0 + sqrt(128) + sqrt(128))**2))).\n | -1557 - 27*sqrt(2)\n | ibivibiv/math_instruct | |
Let k(s) = -341*s - 4952. Let n be k(-16). Is n < 515?\n | True\n | ibivibiv/math_instruct | |
Sort 3, 14735, 18.5, -0.037.\n | -0.037, 3, 18.5, 14735\n | ibivibiv/math_instruct | |
Let p be 3/(-18)*-1*6. Let m(z) = 5*z**2. Let b be m(p). Differentiate -5 + 0 - y**4 + b*y**4 + 1 with respect to y.\n | 16*y**3\n | ibivibiv/math_instruct | |
Simplify 4*(sqrt(108) + -4 - (sqrt(54)/sqrt(6))/sqrt(3))**2.\n | -160*sqrt(3) + 364\n | ibivibiv/math_instruct | |
In base 12, what is 226 + 51189?\n | 513b3\n | ibivibiv/math_instruct | |
Which is the nearest to 1? (a) -1/3 (b) -59/4 (c) 51 (d) 399\n | a\n | ibivibiv/math_instruct | |
Three letters picked without replacement from votoovzogvtovgp. What is prob of sequence tgt?\n | 2/1365\n | ibivibiv/math_instruct | |
Does 32 divide 4374?\n | False\n | ibivibiv/math_instruct | |
What is the least common multiple of 124014 and 8?\n | 496056\n | ibivibiv/math_instruct | |
What is the next term in 1695, 1905, 2255, 2745, 3375, 4145?\n | 5055\n | ibivibiv/math_instruct | |
Differentiate 6*c**3 - 8*c + 16 with respect to c.\n | 18*c**2 - 8\n | ibivibiv/math_instruct | |
Rearrange 6524*x - 463 + 871 - 408 to q*x + w and give q.\n | 6524\n | ibivibiv/math_instruct | |
Let h(k) = -440*k - 1575. What is the hundreds digit of h(-10)?\n | 8\n | ibivibiv/math_instruct | |
-0.05 * 7.76\n | -0.388\n | ibivibiv/math_instruct | |
Convert 2.674777 weeks to minutes.\n | 26961.75216\n | ibivibiv/math_instruct | |
Rearrange 21*o**3 + 1 + 0 - 24*o**3 to the form n*o + a*o**2 + s*o**3 + c and give c.\n | 1\n | ibivibiv/math_instruct | |
Let g = 31046344 + -31046290.000148. Let l = g + -54. Round l to five decimal places.\n | -0.00015\n | ibivibiv/math_instruct | |
Find o, given that 4*o**2/7 - 14492500*o - 101447504/7 = 0.\n | -1, 25361876\n | ibivibiv/math_instruct | |
Does 49 divide 4207483?\n | True\n | ibivibiv/math_instruct | |
Let t = 1 - -52. Suppose -h - h + 14 = -2*m, -3*m + 5*h = 31. Let f = m - -10. What is the remainder when t is divided by f?\n | 5\n | ibivibiv/math_instruct | |
8 + 6 + (-20 - -7)\n | 1\n | ibivibiv/math_instruct | |
In base 13, what is 8289191 + -2?\n | 828918c\n | ibivibiv/math_instruct | |
Solve 0 = 4*h - 61 + 41 for h.\n | 5\n | ibivibiv/math_instruct | |
Let b(s) = -s**3 - 4*s**2 - 4*s - 4. Let p = 0 + -3. Let a be b(p). Let x be ((72/33)/6)/(36/(-66)). What is the third biggest value in -2, x, a?\n | -2\n | ibivibiv/math_instruct | |
What is -2432 (base 5) in base 11?\n | -304\n | ibivibiv/math_instruct | |
Let n = -0.0167 + 0.1167. Which is the fourth biggest value? (a) 4 (b) -247 (c) 0.03 (d) 0.5 (e) n\n | c\n | ibivibiv/math_instruct | |
Is 1085280 a multiple of 420?\n | True\n | ibivibiv/math_instruct | |
Express (-499*k**2 + 199*k**2 - 297*k**2)*(72*k - 854 + 854) in the form b*k**3 + h*k**2 + j + c*k and give b.\n | -42984\n | ibivibiv/math_instruct | |
Let d(l) = l**2 + 12*l + 20. Let a be d(-10). Let p(h) = -h**2 - 2*h + 63. What is the remainder when p(a) is divided by 16?\n | 15\n | ibivibiv/math_instruct | |
Let r(p) be the first derivative of -p**5/20 - 7*p**4/12 - 7*p**3/6 + 2*p + 2. Let k(q) be the first derivative of r(q). What is k(-6)?\n | 6\n | ibivibiv/math_instruct | |
Factor -d**3 + 12*d**2 - 35*d.\n | -d*(d - 7)*(d - 5)\n | ibivibiv/math_instruct | |
Let s(n) = -466*n - 27. Let k(x) = -230*x - 13. Give -13*k(c) + 6*s(c).\n | 194*c + 7\n | ibivibiv/math_instruct | |
Let f(m) = 929*m**2 + 24*m - 120. List the prime factors of f(4).\n | 2, 5, 7, 53\n | ibivibiv/math_instruct | |
Round -0.001195380847 to four decimal places.\n | -0.0012\n | ibivibiv/math_instruct | |
Is 19 a factor of 161?\n | False\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 y and 1 r when two letters picked without replacement from dzyytozoordo.\n | 1/33\n | ibivibiv/math_instruct | |
Suppose 20*g = -39*g + 5*g - 269352. Is -4988 <= g?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 1184381*y - 1184381*y + 2*y**2.\n | 2*y**2\n | ibivibiv/math_instruct | |
Let r = -15.3 - -0.3. Let l = r - -11. What is the second biggest value in -0.2, l, -0.5?\n | -0.5\n | ibivibiv/math_instruct | |
Let b = 163778906489/141765498 - 31/2250246. Let a = 8102/7 - b. Calculate the common denominator of (1/18)/((-6)/160) and a.\n | 27\n | ibivibiv/math_instruct | |
Let b(k) = -k**3 + 71*k**2 - 1231*k + 267. Give b(31).\n | 546\n | ibivibiv/math_instruct | |
Let z = 53.9999905 - 54. Round z to 6 decimal places.\n | -0.00001\n | ibivibiv/math_instruct | |
Let b(n) = -4*n + 22. Let p(g) = 2*g - 11. Let x(u) = 3*b(u) + 7*p(u). Let d be x(8). Suppose -2*t + d*t - 195 = 0. Is t a composite number?\n | True\n | ibivibiv/math_instruct | |
Let n be ((-15)/10)/((-1)/14). Suppose 4*y - 3 = d, -4*d + 4*y = -5*d + n. Suppose d*p + 50 = 11*p. What is the units digit of p?\n | 5\n | ibivibiv/math_instruct | |
Suppose 5*x - 8 = 3*x. Let o(z) = -x + z - 3*z + 1. Let w(l) be the first derivative of -l - 22. Determine o(h) - 3*w(h).\n | -2*h\n | ibivibiv/math_instruct | |
Let k(b) be the first derivative of b**5/30 - b**2 + 11. Let u(p) be the second derivative of k(p). Let i(r) = r**2. Calculate u(i(v)).\n | 2*v**4\n | ibivibiv/math_instruct | |
Collect the terms in -4386*q + 4386*q + 33*q**3.\n | 33*q**3\n | ibivibiv/math_instruct | |
Collect the terms in -259*b + 706*b + 467*b + 198*b + 1 + 0.\n | 1112*b + 1\n | ibivibiv/math_instruct | |
Which is the nearest to 0.1? (a) -3 (b) -13 (c) 1/3 (d) -1/12 (e) 0.3\n | d\n | ibivibiv/math_instruct |
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