instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 4*p = -p + 40. Let n be (7/(-14))/((-2)/p). Suppose n*v - 17 = 15. Calculate the least common multiple of v and 8.\n | 16\n | ibivibiv/math_instruct | |
Solve -25*h = -4*h - 105 for h.\n | 5\n | ibivibiv/math_instruct | |
Solve -11*i = 13*i - 5 + 5 for i.\n | 0\n | ibivibiv/math_instruct | |
Suppose -3 = -4*w - 75. Let y = w - -30. What is the units digit of y?\n | 2\n | ibivibiv/math_instruct | |
Let s = 127 + -166. Which is smaller: 0.1 or s?\n | s\n | ibivibiv/math_instruct | |
Suppose -6*b - 34 = 2. Let g be -1*3 - (-13 - b). Which is smaller: g or 6?\n | g\n | ibivibiv/math_instruct | |
Let t = -0.033149 - -0.033. What is t rounded to five decimal places?\n | -0.00015\n | ibivibiv/math_instruct | |
Is 187111073 composite?\n | False\n | ibivibiv/math_instruct | |
Is 55763 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the second biggest value in 19, 1/3, -2, -3/7?\n | 1/3\n | ibivibiv/math_instruct | |
What is the value of (-13)/117*3*(-12)/(-4)?\n | -1\n | ibivibiv/math_instruct | |
What is the second smallest value in -1/5, 5, 103/7, 0.1?\n | 0.1\n | ibivibiv/math_instruct | |
What is -2 divided by -14525054?\n | 1/7262527\n | ibivibiv/math_instruct | |
Collect the terms in 26*a - 4*a - 2 + 32*a**2 + 2 - 201*a.\n | 32*a**2 - 179*a\n | ibivibiv/math_instruct | |
Let p(r) = 6*r**2 - 6*r - 3. What is p(3)?\n | 33\n | ibivibiv/math_instruct | |
Solve 18*a - 57*a - 61*a = 2600 for a.\n | -26\n | ibivibiv/math_instruct | |
Solve -26*f - 105 = -i, -1160776*i - 65 = -2*f - 1160773*i for f.\n | -5\n | ibivibiv/math_instruct | |
Round -1374.9422 to 0 decimal places.\n | -1375\n | ibivibiv/math_instruct | |
Let r be 1*(-90)/(-12) + 2/4. Let l be r/((-24)/99) + -3. Is -35 at most as big as l?\n | False\n | ibivibiv/math_instruct | |
Let i(f) = 4*f - 8. Let a(j) = -j + 2. Let n(v) = -3*v + 6. Let w(r) = -17*a(r) + 6*n(r). What is -2*i(m) - 9*w(m)?\n | m - 2\n | ibivibiv/math_instruct | |
Calculate (2256/(-2632)*(-7)/(-10))/((-8)/((-48)/(-135))).\n | 2/75\n | ibivibiv/math_instruct | |
Let s be (7 + -4)*(1 + 0). Solve -s*b - 2*b = -20 for b.\n | 4\n | ibivibiv/math_instruct | |
Calculate 10 divided by -187.\n | -10/187\n | ibivibiv/math_instruct | |
(((-6)/(-12))/(2/(-96)))/(-9 - -7)\n | 12\n | ibivibiv/math_instruct | |
Is 100003 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let z be -36*6/(-24) - 5. Put -17, z, -4 in descending order.\n | z, -4, -17\n | ibivibiv/math_instruct | |
What is 15/4 of a decade in months?\n | 450\n | ibivibiv/math_instruct | |
Let a = 3 + 4. Let q(j) = 3*j - 18. What is the smallest common multiple of q(9) and a?\n | 63\n | ibivibiv/math_instruct | |
How many minutes are there between 7:50 AM and 11:01 AM?\n | 191\n | ibivibiv/math_instruct | |
What is the highest common factor of 216 and 1374560?\n | 8\n | ibivibiv/math_instruct | |
Let m = 552 - 520. What is the second smallest value in 52, -0.3, m?\n | m\n | ibivibiv/math_instruct | |
Let l be (-63 - -55) + (-54)/(-7). Which is smaller: l or 445?\n | l\n | ibivibiv/math_instruct | |
What is the square root of 1144284582 to the nearest integer?\n | 33827\n | ibivibiv/math_instruct | |
Suppose 15 = -u + 5*h, 2 = 2*u + h - 3*h. Let m(x) = -95*x + 1722. Let b be m(18). Solve v + b = u*v for v.\n | 3\n | ibivibiv/math_instruct | |
What is the common denominator of 51/3976 and 57/12089?\n | 6866552\n | ibivibiv/math_instruct | |
Collect the terms in -731*k**3 - 576*k**3 - 1082*k**3 - 797*k**3 + 43*k**3.\n | -3143*k**3\n | ibivibiv/math_instruct | |
What is the least common multiple of 10053 and 71196?\n | 238577796\n | ibivibiv/math_instruct | |
What is the next term in 126, 112, 98?\n | 84\n | ibivibiv/math_instruct | |
Bruce and Anne can clean their house in 4 hours working together at their respective constant rates. If Anne’s speed were doubled, they could clean their house in 3 hours working at their respective rates. How many Q hours does it currently take Anne to clean the house on her own?
Answer Choices: (A) 6 (B) 7 (C) 8 (D) ... | # Let's assume Bruce's rate is b and Anne's rate is a
# According to the given information, their combined rate is 1/4 (since they can clean the house in 4 hours)
# So, we have the equation: b + a = 1/4
# If Anne's speed were doubled, her rate would be 2a
# According to the new information, their combined rate is 1/3 (... | ibivibiv/math_instruct | |
What is the nearest to 0.5 in -1, -10, -5, 3/5, 45?\n | 3/5\n | ibivibiv/math_instruct | |
Let l(s) = -s**3 + 4*s. Let m(g) = -g**3 + 4*g. Let r(q) = 4*l(q) - 3*m(q). What is the second derivative of r(k) wrt k?\n | -6*k\n | ibivibiv/math_instruct | |
Let m = -10 - -24. Suppose -3*r = -i + 15, 8*i - 3*i - 21 = -3*r. Let l be (-21)/(-6)*(i + -4). Calculate the greatest common divisor of l and m.\n | 7\n | ibivibiv/math_instruct | |
Let d(n) = n**2 - 16*n + 8. Let z be d(16). Suppose x + z = -5*q + 29, -x - 19 = -5*q. What is the first derivative of -4*m**4 - 26 + 58 - 9*m**q wrt m?\n | -52*m**3\n | ibivibiv/math_instruct | |
Simplify (-1*sqrt(896) + sqrt(56))/(sqrt(32)/sqrt(4)*4 + sqrt(8)) + 2 + -4*(0 + sqrt(4032) + sqrt(28) - sqrt(112)/sqrt(4)*-3).\n | -643*sqrt(7)/5 + 2\n | ibivibiv/math_instruct | |
Find the first derivative of 1485377 - 7302*j**2 - 1488168 + 4*j - 4*j wrt j.\n | -14604*j\n | ibivibiv/math_instruct | |
59 times -41\n | -2419\n | ibivibiv/math_instruct | |
Let w be (4/26)/((-20)/(-260)). Suppose 0 = -w*g - r + 6*r + 54, g - 30 = 4*r. Let j = 76 + -54. What is the highest common factor of j and g?\n | 22\n | ibivibiv/math_instruct | |
Sort -1.5, 2/17, 1 in decreasing order.\n | 1, 2/17, -1.5\n | ibivibiv/math_instruct | |
b"What is the rth term of -26482, -26667, -26980, -27415, -27966, -28627, -29392, -30255?\n" | r**3 - 70*r**2 + 18*r - 26431\n | ibivibiv/math_instruct | |
Calculate the remainder when 80 is divided by 53.\n | 27\n | ibivibiv/math_instruct | |
Let v(y) = -5*y**2 - 5*y. Let i(o) = 3*o**2 + 2*o. Let r = -25 + 30. Let s be 6 - (r + -3)*1. Let k(n) = s*v(n) + 10*i(n). Let z(u) = -6*u. Determine k(z(d)).\n | 360*d**2\n | ibivibiv/math_instruct | |
Is 42758096 at least 42758095?\n | True\n | ibivibiv/math_instruct | |
(-9 - -15) + (-4 - (-1 - -2))\n | 1\n | ibivibiv/math_instruct | |
What is 0.09 + 6606?\n | 6606.09\n | ibivibiv/math_instruct | |
Calculate (5 + -5 - -4) + (60 - -2 - -2) + 0.\n | 68\n | ibivibiv/math_instruct | |
Let h be 5/4*(-2)/10. Let l be ((-1)/1)/(-2)*(-22)/11. Which is smaller: h or l?\n | l\n | ibivibiv/math_instruct | |
What are the prime factors of 74301?\n | 3, 24767\n | ibivibiv/math_instruct | |
Let f(q) be the third derivative of 29/120*q**6 - 4*q - 55/3*q**3 + 0*q**5 + 0*q**4 + 11*q**2 + 0. What is the derivative of f(s) wrt s?\n | 87*s**2\n | ibivibiv/math_instruct | |
Suppose f + 0 = -4*m - 3, -4*m = 4*f. Let v = m + -6. Do -7 and v have different values?\n | False\n | ibivibiv/math_instruct | |
Two letters picked without replacement from favsvqfff. What is prob of sequence qf?\n | 1/18\n | ibivibiv/math_instruct | |
(6 - 2)/((-450)/(-45))\n | 2/5\n | ibivibiv/math_instruct | |
What is 207 minutes before 8:15 AM?\n | 4:48 AM\n | ibivibiv/math_instruct | |
Suppose 4*z - 131 = -3*d - 682, 2*z - d = -273. Let o = -112 - z. Calculate the remainder when 148 is divided by o.\n | 23\n | ibivibiv/math_instruct | |
Suppose -4*r - g + 107 = 0, -15*r + 16*r - 5*g - 32 = 0. Suppose 19*h - r*h = 0. Solve 2*a = -s - 1 - 3, h = -a - s for a.\n | -4\n | ibivibiv/math_instruct | |
Let x = 38 - 37.79. Let j = -0.17 - x. Round j to one decimal place.\n | -0.4\n | ibivibiv/math_instruct | |
Let f = 26360/92309 + 2/13187. Let o be (-22)/2*-1 + -2. Which is the second smallest value? (a) o (b) f (c) 0.5\n | c\n | ibivibiv/math_instruct | |
Calculate the remainder when 20521 is divided by 1603.\n | 1285\n | ibivibiv/math_instruct | |
What comes next: 2838, 22565, 76056, 180177, 351794, 607773, 964980, 1440281?\n | 2050542\n | ibivibiv/math_instruct | |
Let a be (16 - (-144)/(-9))*(-1)/(-2). Solve -4 = 2*g + 4*z + 8, -z - 3 = a for g.\n | 0\n | ibivibiv/math_instruct | |
Let u(h) = -3*h**2 - 10*h - 3. Let f be u(-3). Let p = 2.73 + -2.53. Suppose -2*s = 2*s - 16. Which is the closest to 0.02? (a) s (b) f (c) p\n | b\n | ibivibiv/math_instruct | |
What is prob of picking 1 h, 1 i, and 1 o when three letters picked without replacement from ziviyhiyyhiiyio?\n | 12/455\n | ibivibiv/math_instruct | |
Suppose 4*f + 28 - 8 = 0. Suppose -6*q + 4 - 14 = 2. What is the nearest to -0.2 in -3, f, 0.2, q?\n | 0.2\n | ibivibiv/math_instruct | |
Suppose 5*n - 14*n = 0. Solve -5*a + 3*g = -5, 5*a + n - 5 = -3*g for a.\n | 1\n | ibivibiv/math_instruct | |
b"What is the nth term of -557502, -557938, -559130, -561456, -565294?\n" | -63*n**3 + 5*n - 557444\n | ibivibiv/math_instruct | |
Let h(k) be the third derivative of 9/160*k**6 + 0 + 11/32*k**4 + 71*k**2 + 0*k + 0*k**3 + 1/280*k**7 - 21/80*k**5. Let h(n) = 0. What is n?\n | -11, 0, 1\n | ibivibiv/math_instruct | |
Expand ((3 + 1 - 6)*(10*w + 37*w - 5*w) + (-5 + 4 + 3)*(0 - w + 0) + 0*w + 0*w - 2*w - 4*w + 3*w - w + 2 - 2*w - 7 + 0)*(2 - 3 + 0).\n | 92*w + 5\n | ibivibiv/math_instruct | |
What is the product of 11 and -6?\n | -66\n | ibivibiv/math_instruct | |
Is -7 greater than 47319?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 494313737?\n | 683, 723739\n | ibivibiv/math_instruct | |
b"What is the kth term of -209, -211, -213, -215, -217, -219?\n" | -2*k - 207\n | ibivibiv/math_instruct | |
What is the highest common factor of 75012 and 632667?\n | 987\n | ibivibiv/math_instruct | |
Simplify 6*(3*sqrt(567) + -4).\n | -24 + 162*sqrt(7)\n | ibivibiv/math_instruct | |
What is -0.5 times -4?\n | 2\n | ibivibiv/math_instruct | |
Simplify (2*((sqrt(132) - 2*sqrt(132)*1) + -3*(sqrt(132) + sqrt(132)*-2 + sqrt(132) - sqrt(132))))/(5*sqrt(108)/(sqrt(441)*-2)).\n | -56*sqrt(11)/5\n | ibivibiv/math_instruct | |
3 + (1 - (-1 - -2))\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in 119*k**2 - 106*k**2 + 365*k**2 + 164*k**2 + 85*k**2.\n | 627*k**2\n | ibivibiv/math_instruct | |
What is 1012201210 (base 3) in base 15?\n | 710c\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 460 and 1492516.\n | 92\n | ibivibiv/math_instruct | |
List the prime factors of 6530632436.\n | 2, 107, 131, 269, 433\n | ibivibiv/math_instruct | |
Suppose -16 = 2*n + 2*n. Let r = 6 + n. Find the common denominator of 97/22 and (-79)/6 - (-2)/r.\n | 66\n | ibivibiv/math_instruct | |
Let y = -5953/176 + 337/11. What is the common denominator of 266/(-40) - (-2 - -1) and y?\n | 80\n | ibivibiv/math_instruct | |
How many grams are there in eleven quarters of a kilogram?\n | 2750\n | ibivibiv/math_instruct | |
Let w(j) = j**2 + 7*j + 11. Calculate w(-4).\n | -1\n | ibivibiv/math_instruct | |
Suppose -8*w + 6 = -6*w. Sort w, -1, -9 in increasing order.\n | -9, -1, w\n | ibivibiv/math_instruct | |
Determine i so that -2*i**4/19 - 26*i**3/19 - 70*i**2/19 + 98*i/19 = 0.\n | -7, 0, 1\n | ibivibiv/math_instruct | |
Collect the terms in 53 + 1996*t**2 + 53 - 123 + 18.\n | 1996*t**2 + 1\n | ibivibiv/math_instruct | |
Let i(b) be the second derivative of -b**4/6 - b**3/6 - b**2 + 5*b. Let j = 0 + 5. Let z(u) = -4*u**2 - 3*u - 5. Give j*i(l) - 2*z(l).\n | -2*l**2 + l\n | ibivibiv/math_instruct | |
Solve -1581*p + 3523*p - 28512 = 1150*p for p.\n | 36\n | ibivibiv/math_instruct | |
Find the first derivative of -80544678*v**2 - 13154217.\n | -161089356*v\n | ibivibiv/math_instruct | |
Is 17578259 prime?\n | True\n | ibivibiv/math_instruct |
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