instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let q(b) = -b - 3. Let r be q(-3). Suppose 93 = -4*v - r*v + 5*o, 4*o + 147 = -5*v. Let k = v + 34. What is the smallest common multiple of k and 45?\n | 315\n | ibivibiv/math_instruct | |
Sort 416, 9, -1 in ascending order.\n | -1, 9, 416\n | ibivibiv/math_instruct | |
Work out 1044067586 + 41018.\n | 1044108604\n | ibivibiv/math_instruct | |
Which is the closest to 169? (a) -6 (b) 0.3 (c) 0.7 (d) 2 (e) 2/15 (f) -4/7\n | d\n | ibivibiv/math_instruct | |
b"What is the kth term of -280, -272, -270, -274, -284, -300?\n" | -3*k**2 + 17*k - 294\n | ibivibiv/math_instruct | |
What is -3172 (base 11) in base 3?\n | -12202022\n | ibivibiv/math_instruct | |
-334 (base 6) to base 7\n | -244\n | ibivibiv/math_instruct | |
Find the third derivative of -a**4 - 508*a**3*j + 66*a**2*j + a**2 + 4*a*j wrt a.\n | -24*a - 3048*j\n | ibivibiv/math_instruct | |
Is -266663 less than or equal to -266663?\n | True\n | ibivibiv/math_instruct | |
What is the seventh root of 22017766 to the nearest integer?\n | 11\n | ibivibiv/math_instruct | |
Simplify ((c**(5/6)/(c*c*c/(c*(c/(c/(c*c*c**(4/3))))/c)))**(-6/7))**(-1/32) assuming c is positive.\n | c**(1/32)\n | ibivibiv/math_instruct | |
Round -4256600 to the nearest 100000.\n | -4300000\n | ibivibiv/math_instruct | |
What is -925 divided by 8?\n | -925/8\n | ibivibiv/math_instruct | |
b"What is the jth term of 39, -47, -133, -219, -305, -391?\n" | -86*j + 125\n | ibivibiv/math_instruct | |
Multiply 815761 and 0.2.\n | 163152.2\n | ibivibiv/math_instruct | |
Let d(w) = 3*w - 1 - 1 + 6*w**2 - 4*w**2 - 5*w. Let k be (-2)/(-6) + 10/6. Calculate d(k).\n | 2\n | ibivibiv/math_instruct | |
Is 753280817 composite?\n | True\n | ibivibiv/math_instruct | |
Let w = 36.8190027405 - 36.819. What is w rounded to 7 decimal places?\n | 0.0000027\n | ibivibiv/math_instruct | |
Is 1000638837 a multiple of 99?\n | True\n | ibivibiv/math_instruct | |
Expand (2*g**2 - 2*g**2 + 2*g**2)*(-2*g + 0 + 4*g + 2) + (2*g**2 + 2*g - 2*g)*(-g + g + 2*g) - g**3 - g**2 + g**2 + 5*g**3 - 2*g**3 - 2*g**3.\n | 8*g**3 + 4*g**2\n | ibivibiv/math_instruct | |
-191509 divided by 62\n | -191509/62\n | ibivibiv/math_instruct | |
Expand ((0 - 3 + 2)*(-k - 3*k + 3*k) + 1 - 1 - 2*k)*(k**4 - 3*k**4 + k**4) + (k**3 - 26 + 26)*(k**2 - 3*k**2 + 0*k**2).\n | -k**5\n | ibivibiv/math_instruct | |
What is 79.5415647 plus -11239?\n | -11159.4584353\n | ibivibiv/math_instruct | |
Is 1 bigger than -11/190980?\n | True\n | ibivibiv/math_instruct | |
Let o(k) = -4*k**3 - 8*k**2 - 6*k - 5. Let y(b) = -9*b**3 - 17*b**2 - 13*b - 11. Give -13*o(i) + 6*y(i).\n | -2*i**3 + 2*i**2 - 1\n | ibivibiv/math_instruct | |
What is the distance between 1922511 and -5?\n | 1922516\n | ibivibiv/math_instruct | |
Suppose o = -4*t + 2345, -1177 = -t - t + o. Is t composite?\n | False\n | ibivibiv/math_instruct | |
What is the greatest common factor of 1720236 and 6972?\n | 84\n | ibivibiv/math_instruct | |
Solve 2*q - 4*h + 17 = q, -4*q - 26 = -2*h for q.\n | -5\n | ibivibiv/math_instruct | |
Is 9372 a multiple of 22?\n | True\n | ibivibiv/math_instruct | |
What comes next: -166, -160, -152, -142, -130?\n | -116\n | ibivibiv/math_instruct | |
What is the biggest value in -6357, -3, 0.131, -1, -0.2?\n | 0.131\n | ibivibiv/math_instruct | |
What is the highest common factor of 1564 and 23851?\n | 391\n | ibivibiv/math_instruct | |
Multiply -17 and -4.\n | 68\n | ibivibiv/math_instruct | |
Let v be -1 + 1 + -1 + 4. Suppose j - 3 = -2*j. Suppose -5*q + 4 = -3*p + j, -5*p = -4*q + 5. What is the nearest to q in v, 2, 2/9?\n | 2/9\n | ibivibiv/math_instruct | |
Let i(t) = 15*t - 18961 - 11*t + 18941. What is i(-2)?\n | -28\n | ibivibiv/math_instruct | |
Suppose -3*v + 18 = -42. Let h(a) = -141*a - 1. Let l be h(-1). What is the highest common factor of v and l?\n | 20\n | ibivibiv/math_instruct | |
Evaluate (3/3)/(-1)*-5.\n | 5\n | ibivibiv/math_instruct | |
b"What is the yth term of 4845, 9712, 14613, 19566, 24589, 29700, 34917, 40258?\n" | 3*y**3 - y**2 + 4849*y - 6\n | ibivibiv/math_instruct | |
(-27)/45*(-7)/(-14)\n | -3/10\n | ibivibiv/math_instruct | |
Let d = -30.46901046 - -0.26922346. Let k = -297.2 - -267. Let o = k - d. Round o to 5 dps.\n | -0.00021\n | ibivibiv/math_instruct | |
Let j = -13/8 - -23/24. Let z(o) = o**3 - 7*o**2 + 7*o. Let t be z(6). Suppose -3*d = -t*d. Is d at most j?\n | False\n | ibivibiv/math_instruct | |
What is next in -300, -607, -914?\n | -1221\n | ibivibiv/math_instruct | |
Let i(b) = -b**3 - 16*b**2 - 25*b + 189. Let o be i(-13). Solve o*t = 37 - 72 for t.\n | -5\n | ibivibiv/math_instruct | |
Let r(k) be the third derivative of k**6/720 - 7*k**5/360 - 7*k**4/48 + 3*k**3/4 + 3*k**2 - 76*k. Factor r(j).\n | (j - 9)*(j - 1)*(j + 3)/6\n | ibivibiv/math_instruct | |
In base 5, what is -1 + -20?\n | -21\n | ibivibiv/math_instruct | |
Let y(a) = 3*a**2 + a - 14. Let q be y(-7). Suppose q = 4*b + 2*r, 8 = b - 3*r - 20. Is b a prime number?\n | True\n | ibivibiv/math_instruct | |
Which is smaller: 0 or -1/578?\n | -1/578\n | ibivibiv/math_instruct | |
What comes next: -57, -255, -593, -1071, -1689, -2447?\n | -3345\n | ibivibiv/math_instruct | |
Solve -884*f + 3563*f + 91181 = -2120*f for f.\n | -19\n | ibivibiv/math_instruct | |
Calculate (85/(-17))/(-5)*(-2)/2.\n | -1\n | ibivibiv/math_instruct | |
What is 105.88846 + 1028519.21?\n | 1028625.09846\n | ibivibiv/math_instruct | |
What is the nearest to 2 in 3/8, -83/6, -5, 0.2?\n | 3/8\n | ibivibiv/math_instruct | |
Collect the terms in 94*m - 43*m - 49*m.\n | 2*m\n | ibivibiv/math_instruct | |
Simplify ((h**10/h)**26)**(-1/38) assuming h is positive.\n | h**(-117/19)\n | ibivibiv/math_instruct | |
Let y(d) = 2*d + 0 - 2 - 6*d + 2*d. Let m(c) = c. Give -3*m(z) - y(z).\n | -z + 2\n | ibivibiv/math_instruct | |
Let n = 177313/108 - 6567/4. Let s(q) be the second derivative of 2/9*q**2 - 7*q + 0 - 1/90*q**5 - n*q**4 + 1/27*q**3. Factor s(i).\n | -2*(i - 1)*(i + 1)*(i + 2)/9\n | ibivibiv/math_instruct | |
b"What is the nth term of 7166, 7168, 7172, 7178, 7186?\n" | n**2 - n + 7166\n | ibivibiv/math_instruct | |
-3508060437 - 0.01\n | -3508060437.01\n | ibivibiv/math_instruct | |
The measure of the angles of a pentagon are in the ratio of 3:3:3:4:5. What is the number of degrees in the measure of the largest angle? | Let the common ratio be $x$.
The sum of the angle measures in a pentagon is $180(5-2)=540$ degrees.
The angles are $3x$, $3x$, $3x$, $4x$, and $5x$ degrees.
Setting up the equation $3x+3x+3x+4x+5x=540$, we find $18x=540$ and $x=30$.
Thus, the largest angle measures $5x=5(30)=\boxed{150}$ degrees.
The answer is: 150 | ibivibiv/math_instruct | |
Let f be 16 - ((-4 - -2) + 0). Let v be 4/18 - 106204/f. What is v rounded to the nearest 1000?\n | -6000\n | ibivibiv/math_instruct | |
Suppose 22 = 2*v - v - 3*m, -4*v + 8 = 4*m. Let h(k) = k - 3. Let d be h(v). Find the third derivative of -3*y**2 - y**6 + d*y**2 - 5*y**2 wrt y.\n | -120*y**3\n | ibivibiv/math_instruct | |
Solve -130*t - 40*t + 6016 = -8*t + 26*t for t.\n | 32\n | ibivibiv/math_instruct | |
Let j be 3/4 - (1 - 1). Let r = -0.015 + -0.085. What is the second smallest value in j, r, -2/9?\n | r\n | ibivibiv/math_instruct | |
Collect the terms in 344129*j**2 - 172079*j**2 + 16 - 172055*j**2.\n | -5*j**2 + 16\n | ibivibiv/math_instruct | |
What is the greatest common factor of 14 and 1071?\n | 7\n | ibivibiv/math_instruct | |
Suppose 0*k = k + 2. Let x be 3 + k/(-1*2). Let r = -179/1079 - -1/83. What is the nearest to 2/3 in r, -1/2, x?\n | r\n | ibivibiv/math_instruct | |
Let s(g) = -1153*g**2 - 25*g - 48. Let j be s(-8). Round j to the nearest 1000.\n | -74000\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 70 and 224.\n | 14\n | ibivibiv/math_instruct | |
What is seven halves of a year in months?\n | 42\n | ibivibiv/math_instruct | |
Let p be (-2)/((-17)/68 + 2/72). Let s be 114/p - (24/9 - 2). Suppose -2*f + s = f. Put -4, -6, f, 0 in ascending order.\n | -6, -4, 0, f\n | ibivibiv/math_instruct | |
What is prob of picking 2 z when two letters picked without replacement from {f: 2, k: 1, z: 5, v: 1}?\n | 5/18\n | ibivibiv/math_instruct | |
Let t = -5 - -10. Let w = t + -5.3. What is the nearest to 3 in 2/7, w, 0?\n | 2/7\n | ibivibiv/math_instruct | |
List the prime factors of 4922.\n | 2, 23, 107\n | ibivibiv/math_instruct | |
Let l(t) = -170*t - 1829. What is the hundreds digit of l(-14)?\n | 5\n | ibivibiv/math_instruct | |
Calculate ((-132)/15 - -4)/(186/465).\n | -12\n | ibivibiv/math_instruct | |
Calculate the remainder when 217455 is divided by 131.\n | 126\n | ibivibiv/math_instruct | |
Suppose -t + 5*b = 148, b + 191 = -4*t - 338. Let u = t + 136. Let a = -9 + 14. Calculate the remainder when a is divided by u.\n | 2\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 36 and 84?\n | 252\n | ibivibiv/math_instruct | |
Suppose -29*k = -102030 - 370699. Is k composite?\n | False\n | ibivibiv/math_instruct | |
Suppose -1 + 10 = -9*a. Let l be (-4 + 114/27)*-8. Which is smaller: a or l?\n | l\n | ibivibiv/math_instruct | |
Let i(q) = 4*q**2 - 5*q**3 - 2*q**2 - 189*q + q**2 + 179*q + 8. What is i(1)?\n | -4\n | ibivibiv/math_instruct | |
Suppose 41974 = -12*q + 113050. Is q a composite number?\n | False\n | ibivibiv/math_instruct | |
Round -6.9933 to 2 dps.\n | -6.99\n | ibivibiv/math_instruct | |
What is -2422.4234 rounded to the nearest 100?\n | -2400\n | ibivibiv/math_instruct | |
Let o be ((-15)/7 + 2)/(7/28). Which is the nearest to -1/2? (a) -1/3 (b) o (c) -0.05\n | b\n | ibivibiv/math_instruct | |
Let u(x) be the second derivative of -2*x**6/15 + 5*x**5 + 28*x**4/3 - 104*x**3/3 - 1054*x. Factor u(h).\n | -4*h*(h - 26)*(h - 1)*(h + 2)\n | ibivibiv/math_instruct | |
Calculate prob of sequence ycc when three letters picked without replacement from {v: 4, q: 1, e: 4, y: 5, c: 6}.\n | 5/228\n | ibivibiv/math_instruct | |
Suppose 22*m + 140 = 27*m. Let s = -28 + m. Solve -3*d - 3*u + 5*u - 1 = s, -d = -u for d.\n | -1\n | ibivibiv/math_instruct | |
Suppose 5*l + 4*c + 16 - 81 = 0, 4*l - 31 = c. Let i = -3 + l. Is i a prime number?\n | False\n | ibivibiv/math_instruct | |
Let m = 175/19 + -37659/95. Let q = m + 386. Which is bigger: q or 0?\n | 0\n | ibivibiv/math_instruct | |
List the prime factors of 1432793.\n | 1193, 1201\n | ibivibiv/math_instruct | |
Let d(k) = -k**3 - 13*k**2 - 18*k - 12. Let h be (-3)/6*-2 + 0. Let w be 2/h*-1*6. Is d(w) a multiple of 12?\n | True\n | ibivibiv/math_instruct | |
-20 + -0.02\n | -20.02\n | ibivibiv/math_instruct | |
Let g(w) = -1 - 4*w + 12*w**2 + 3 + 0. Let k(m) = -35*m**2 + 13*m - 7. Let o(y) = -11*g(y) - 4*k(y). Let s(a) = 9*a**2 - 9*a + 7. Calculate -7*o(l) + 6*s(l).\n | -2*l**2 + 2*l\n | ibivibiv/math_instruct | |
What is the value of 8 + 1 - (-28 + 18 + 15)?\n | 4\n | ibivibiv/math_instruct | |
Evaluate (-1)/(((-36)/(-24))/(6/1)).\n | -4\n | ibivibiv/math_instruct | |
Let s(k) = 5*k + 57. Let j be s(-11). Let n(y) = y + 7. Let q be n(-5). Suppose -4*t = -2*w - 12, 2*t - 8 = -4*w - q. Solve -v - t - j = 0 for v.\n | -5\n | ibivibiv/math_instruct | |
Collect the terms in -122*d - 77*d + 317*d - 119*d.\n | -d\n | ibivibiv/math_instruct | |
Let b(q) = 28*q - 611. Calculate the remainder when b(26) is divided by 30.\n | 27\n | ibivibiv/math_instruct |
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