instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 221*u = 201*u + 83380. Is u a multiple of 11?\n | True\n | ibivibiv/math_instruct | |
Let d = -2700 + 2525. What is the smallest value in 6, d, 2, -0.4, 0.4?\n | d\n | ibivibiv/math_instruct | |
Find the second derivative of -21176*l*m**2 + 2*l*m + 1190*l - 7*m - 1 wrt m.\n | -42352*l\n | ibivibiv/math_instruct | |
1 + 0 - (-4 + 8)\n | -3\n | ibivibiv/math_instruct | |
25*((15/25)/3)/1\n | 5\n | ibivibiv/math_instruct | |
Let p(o) = o**2 + 2*o + 2. Suppose -2*x - 2*x - 7 = y, y + 2 = x. Calculate p(y).\n | 5\n | ibivibiv/math_instruct | |
Suppose s + 2*o = -0 - 1, s - 14 = 3*o. Suppose -m = -s*m. Solve -5*i - 11 = -5*c - i, c + 5*i - 8 = m for c.\n | 3\n | ibivibiv/math_instruct | |
What is -0.000005618 rounded to 7 decimal places?\n | -0.0000056\n | ibivibiv/math_instruct | |
List the prime factors of 976727.\n | 976727\n | ibivibiv/math_instruct | |
Let b(n) = -2119*n + 12172. Determine b(8).\n | -4780\n | ibivibiv/math_instruct | |
Let a = 52.2 - -305.8. Let r = 380.9 - a. Let g = r - 23. Put -4, 0, g in increasing order.\n | -4, g, 0\n | ibivibiv/math_instruct | |
List the prime factors of 15961478.\n | 2, 13, 613903\n | ibivibiv/math_instruct | |
What is -1070647.8 rounded to the nearest 100?\n | -1070600\n | ibivibiv/math_instruct | |
What is 120045 to the power of 1/2, to the nearest integer?\n | 346\n | ibivibiv/math_instruct | |
Does 235 divide 183243?\n | False\n | ibivibiv/math_instruct | |
Suppose -3*x + l = -0*l - 2, -l = -4. Let o be (x + (-10)/4)*-78. Let d = -1 + o. What is the remainder when d is divided by 10?\n | 8\n | ibivibiv/math_instruct | |
Is -13/1473 >= 14?\n | False\n | ibivibiv/math_instruct | |
Let r = -457307/7 - -65641. Suppose 2*u = -4*n + 624, 5*u - 2*u + 4*n - 936 = 0. Let m = u - r. Which is the smallest value? (a) 4 (b) m (c) -1/2\n | c\n | ibivibiv/math_instruct | |
Let l(q) be the first derivative of 5*q**4/3 - 4*q**3/3 - 6*q**2 + 13*q + 14. Let p(v) be the first derivative of l(v). What is f in p(f) = 0?\n | -3/5, 1\n | ibivibiv/math_instruct | |
Let t = -24 + 26. Suppose t*n = -0*n. Solve -2*j = -10, -2*j + 2 = -2*p - n*j for p.\n | 4\n | ibivibiv/math_instruct | |
Which is the closest to -0.1? (a) -2/13 (b) 4 (c) -2 (d) 5\n | a\n | ibivibiv/math_instruct | |
How many minutes are there between 4:33 AM and 2:29 PM?\n | 596\n | ibivibiv/math_instruct | |
b"What is the kth term of -46, -100, -154?\n" | -54*k + 8\n | ibivibiv/math_instruct | |
b"What is the oth term of -17511834, -35023666, -52535498, -70047330, -87559162, -105070994?\n" | -17511832*o - 2\n | ibivibiv/math_instruct | |
Expand (3*g**2 - 6*g + 6*g)*(3 + 0 + 0)*(5 - 3 - 1).\n | 9*g**2\n | ibivibiv/math_instruct | |
Let l = -34711 + 1041443/30. Find the common denominator of (-401)/(-462) - (-10)/(-15) and l.\n | 2310\n | ibivibiv/math_instruct | |
Put -1883, 1, -22 in increasing order.\n | -1883, -22, 1\n | ibivibiv/math_instruct | |
Let s(b) = 23*b + 2. Let x(u) = 8*u + 1. Let j(a) = -6*s(a) + 17*x(a). Let o be j(4). Let h be 2*(-1 - o)*(-25)/(-20). Put -3, 2, 4, h in increasing order.\n | -3, 2, 4, h\n | ibivibiv/math_instruct | |
Solve 2*k - 7 = 9*k for k.\n | -1\n | ibivibiv/math_instruct | |
What is the third smallest value in -1278, 107, 0.4?\n | 107\n | ibivibiv/math_instruct | |
Suppose 0 = 2*f - 2*j - 92, 2*j - 150 = -3*f + j. Let t(h) = -3*h**2 + 4*h + 4. Let b(q) = 35*q**2 - 49*q - 49. Calculate f*t(d) + 4*b(d).\n | -7*d**2\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 172711757?\n | 7\n | ibivibiv/math_instruct | |
Add together 0.146 and -43.00094.\n | -42.85494\n | ibivibiv/math_instruct | |
What is the difference between 199284 and 0?\n | 199284\n | ibivibiv/math_instruct | |
Two letters picked without replacement from tttetttt. Give prob of sequence te.\n | 1/8\n | ibivibiv/math_instruct | |
Calculate the common denominator of -73/3807 and 13/592200.\n | 5329800\n | ibivibiv/math_instruct | |
Simplify ((r*(r*r*r*r/(r*(r**4*r)/r))/r)/r**15)**8 assuming r is positive.\n | r**(-128)\n | ibivibiv/math_instruct | |
What is the value of 20/3*(-2 - (-12)/(-48)) - -6?\n | -9\n | ibivibiv/math_instruct | |
Let f(i) = 26*i + 386. Calculate f(-15).\n | -4\n | ibivibiv/math_instruct | |
Let c(o) = o**2 + 6*o - 53. Let a be c(-11). Solve -18 = a*y - 2*q, -2*y - 2*q - 7 = y for y.\n | -5\n | ibivibiv/math_instruct | |
Simplify (((h*h**(-9))/(h/(h/((h**(2/9)*h)/h)*h)))/((h*h**(-6))/((h*h*h/(h/h**4*h)*h*h)/h*h)))**(-2) assuming h is positive.\n | h**(-86/9)\n | ibivibiv/math_instruct | |
Let i(q) be the first derivative of -q**5/15 - q**4/12 + q**3/3 + q**2/6 - 2*q/3 + 161. Suppose i(n) = 0. What is n?\n | -2, -1, 1\n | ibivibiv/math_instruct | |
Let a(h) = 9*h**2 - h + 5*h**2 - 13*h**2. Let d(j) = 18*j**2 - 22*j. Let q(x) = -3*a(x) + d(x). Find the second derivative of q(y) wrt y.\n | 30\n | ibivibiv/math_instruct | |
Collect the terms in 88479*l**3 + 88485*l**3 - 176962*l**3.\n | 2*l**3\n | ibivibiv/math_instruct | |
Suppose -6 + 2 = -2*d. Suppose -3*x - 3*a = -27, -d*a = -3*x + 2*a + 13. Which is greater: x or 8?\n | 8\n | ibivibiv/math_instruct | |
Solve -w**5 - 146*w**4 - 577*w**3/4 + 437*w**2/4 + 289*w/4 - 145/4 = 0 for w.\n | -145, -1, 1/2\n | ibivibiv/math_instruct | |
Let m(a) = 26*a - 3. Let r be m(-2). Let w = -34 - r. Calculate the highest common divisor of w and 168.\n | 21\n | ibivibiv/math_instruct | |
Expand 3*p**3 - 7*p**3 + 9*p + 44*p**2 - 46*p**2 + (-5*p + 9*p - 6*p)*(3*p**2 - p**2 + 0*p**2).\n | -8*p**3 - 2*p**2 + 9*p\n | ibivibiv/math_instruct | |
Solve -6612*r + 6605*r + 42 = 0 for r.\n | 6\n | ibivibiv/math_instruct | |
Suppose -6829 = -29*p + 22606. Is p a multiple of 145?\n | True\n | ibivibiv/math_instruct | |
-0.8 times 272.848\n | -218.2784\n | ibivibiv/math_instruct | |
Is 358637 a composite number?\n | False\n | ibivibiv/math_instruct | |
Round 4511160 to the nearest one hundred thousand.\n | 4500000\n | ibivibiv/math_instruct | |
Put 3, 0, 5, -2, 2, 4 in increasing order.\n | -2, 0, 2, 3, 4, 5\n | ibivibiv/math_instruct | |
What is 14 minutes after 9:10 PM?\n | 9:24 PM\n | ibivibiv/math_instruct | |
Collect the terms in 101*j**3 - 134*j**3 + 11*j**3 + 89*j**3 + 30*j**3.\n | 97*j**3\n | ibivibiv/math_instruct | |
Which is the nearest to 0.1? (a) -81 (b) 3/2 (c) -10 (d) 2\n | b\n | ibivibiv/math_instruct | |
Let p(u) be the second derivative of 3*u**5/10 + 25*u**4/12 + 2*u**3/3 + 27*u + 3. Suppose p(d) = 0. What is d?\n | -4, -1/6, 0\n | ibivibiv/math_instruct | |
Three letters picked without replacement from fpbhzib. Give prob of picking 1 h and 2 i.\n | 0\n | ibivibiv/math_instruct | |
Let h(p) = -4*p**2 - 17*p + 4. What is h(-5)?\n | -11\n | ibivibiv/math_instruct | |
Suppose -d = 2*n - 11, d + n = -d + 7. Let g be 5 - 1*(0 - -1). Let t = -19789 - -19787. Put d, g, -27, t in descending order.\n | g, d, t, -27\n | ibivibiv/math_instruct | |
Which is the nearest to 8? (a) -6 (b) 6 (c) 3 (d) -1/43 (e) -93 (f) 4\n | b\n | ibivibiv/math_instruct | |
Let y = 14700833 + -14700825.9999998. Let m = y - 7. Round m to 7 dps.\n | 0.0000002\n | ibivibiv/math_instruct | |
Solve 3*p - d - 127 = -5*d - 126, 3*d - 17 = p for p.\n | -5\n | ibivibiv/math_instruct | |
Factor c**4/5 + 56*c**3 + 557*c**2/5 + 278*c/5.\n | c*(c + 1)**2*(c + 278)/5\n | ibivibiv/math_instruct | |
Let b(y) = y + 3. Let w be b(6). Which is bigger: w or 11?\n | 11\n | ibivibiv/math_instruct | |
Suppose 0 = 3*q - q - 36. Calculate the remainder when 51 is divided by q.\n | 15\n | ibivibiv/math_instruct | |
Put -4, -1/17, -0.3 in increasing order.\n | -4, -0.3, -1/17\n | ibivibiv/math_instruct | |
Suppose 6*v - 64 = 2*v. Suppose 9 = 5*s - v. What is the highest common divisor of s and 15?\n | 5\n | ibivibiv/math_instruct | |
Sort 15, 1/4, -1, 1/6 in decreasing order.\n | 15, 1/4, 1/6, -1\n | ibivibiv/math_instruct | |
Let x(p) = -p. Let d(a) = 102*a. Give x(d(t)).\n | -102*t\n | ibivibiv/math_instruct | |
List the prime factors of 435841.\n | 7, 19, 29, 113\n | ibivibiv/math_instruct | |
Simplify 1*2*sqrt(48)*2*5.\n | 80*sqrt(3)\n | ibivibiv/math_instruct | |
What is -211945.095 rounded to the nearest ten?\n | -211950\n | ibivibiv/math_instruct | |
Simplify (3*sqrt(441)/(sqrt(36)*3))/((sqrt(126)/sqrt(3))/sqrt(6) - (sqrt(448) + sqrt(7))*-4).\n | sqrt(7)/74\n | ibivibiv/math_instruct | |
Evaluate 6 + (0 - 10) + (32 - 45) + -14.\n | -31\n | ibivibiv/math_instruct | |
What is the nearest to -2/5 in 4, -6, -4, 1/2?\n | 1/2\n | ibivibiv/math_instruct | |
Let r(t) = 4*t - 5. Let k be r(14). Let d = k + -60. Let x(j) = j**3 + 9*j**2 - 6*j + 19. What are the prime factors of x(d)?\n | 73\n | ibivibiv/math_instruct | |
Expand (-1 + 1 + 2*l**2)*(-l - l + 0*l) + (l - 3*l + 4*l)*(l**2 - 5 + 5) - 2*l**3 + 0*l**3 + l**3 + 2*l**3 - l**3 - 2*l**3.\n | -4*l**3\n | ibivibiv/math_instruct | |
Expand -g**5 + 4*g**5 - 4*g**5 - 2 + 2 + g**5 + (-5*g + g**3 + 5*g)*(g**2 + g**2 + 0*g**2) + g**4 - g**5 - g**4 - 5*g**5 + 4*g**5 - g**5.\n | -g**5\n | ibivibiv/math_instruct | |
Simplify (((m**(-1/6)/m)/(m*m**(-2/15)))/(m/m**(-2/3)*m/m**(4/7)))/((m**1)**14/(m**(2/5))**(1/64)) assuming m is positive.\n | m**(-20297/1120)\n | ibivibiv/math_instruct | |
Let u = 95 - 5253/55. Let a = u + 3/5. Which is smaller: a or -1?\n | -1\n | ibivibiv/math_instruct | |
In base 13, what is 67 - 331223?\n | -331189\n | ibivibiv/math_instruct | |
-1 (base 13) to base 7\n | -1\n | ibivibiv/math_instruct | |
Let z(s) = -4*s**2 - 2 + 55*s**3 - 54*s**3 + 3*s + 2*s. Give z(3).\n | 4\n | ibivibiv/math_instruct | |
What is the value of (5 + -2 - 0 - -1) + (-4 - 13)?\n | -13\n | ibivibiv/math_instruct | |
Simplify (2*(1 + 3 + sqrt(17) + -1)*-4*1)**2*3.\n | 1152*sqrt(17) + 4992\n | ibivibiv/math_instruct | |
Expand (-2*y + y + 3*y)*(0 + 2 - 4)*(3*y - 6 + 6)*(-4 - 1 + 1).\n | 48*y**2\n | ibivibiv/math_instruct | |
Rearrange -11*c + 60*c - 49*c + 2096*c**2 to d + z*c**2 + l*c and give z.\n | 2096\n | ibivibiv/math_instruct | |
Let k(r) = -r**2 - r - 6. Determine k(-4).\n | -18\n | ibivibiv/math_instruct | |
What is prob of picking 1 n, 1 r, and 1 m when three letters picked without replacement from iynyrngim?\n | 1/42\n | ibivibiv/math_instruct | |
Let i(j) = -j**2 - 60*j - 213. Give i(-4).\n | 11\n | ibivibiv/math_instruct | |
What is 25642.211 rounded to the nearest 100?\n | 25600\n | ibivibiv/math_instruct | |
55/616 - (-6)/48\n | 3/14\n | ibivibiv/math_instruct | |
What is the cube root of 64074 to the nearest integer?\n | 40\n | ibivibiv/math_instruct | |
Sort 0.5, 5, 1/20, -0.06.\n | -0.06, 1/20, 0.5, 5\n | ibivibiv/math_instruct | |
Simplify (sqrt(528)*-1 - sqrt(33))/(-5*sqrt(12)/sqrt(4)).\n | sqrt(11)\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 5117 and 172.\n | 43\n | ibivibiv/math_instruct | |
Suppose 0 = 5*t - 4*m - 26, -6*t + m = -t - 14. Let h(j) = -j**3 + j + 6. Let l be h(0). What is the second derivative of t*v - l*v - v**4 - 2*v**4 wrt v?\n | -36*v**2\n | ibivibiv/math_instruct | |
Let b(f) be the third derivative of f**6/240 + 11*f**5/240 + 13*f**4/96 + f**3/6 + 9*f**2. Factor b(l).\n | (l + 1)*(l + 4)*(2*l + 1)/4\n | ibivibiv/math_instruct |
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