instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Expand ((l**2 + 3*l - 3*l)*(2*l + 3*l - 3*l) + 29*l**3 - 50*l**3 - 35*l**3)*(-l + l - 2*l)*(0*l + 9*l - 4*l).\n | 540*l**5\n | ibivibiv/math_instruct | |
Put -404, 1, -5 in decreasing order.\n | 1, -5, -404\n | ibivibiv/math_instruct | |
What is 3/5 of a litre in millilitres?\n | 600\n | ibivibiv/math_instruct | |
Let u be 5/(-5)*(-6)/14. Let q(r) = -5*r + 74. Let p be q(15). Which is the third smallest value? (a) -4/5 (b) p (c) 1 (d) u\n | d\n | ibivibiv/math_instruct | |
Subtract -3 from -442103.\n | -442100\n | ibivibiv/math_instruct | |
Find g, given that -2*g**3 - 5536*g**2 - 3830912*g = 0.\n | -1384, 0\n | ibivibiv/math_instruct | |
List the prime factors of 16077.\n | 3, 23, 233\n | ibivibiv/math_instruct | |
Solve 14 = -2*t - 3*o, -3*t - o - 18 = t for t.\n | -4\n | ibivibiv/math_instruct | |
Calculate 207 + -16 + -188 + -58 + 0 + 0.\n | -55\n | ibivibiv/math_instruct | |
Is 10862411 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let l be 7 - ((-4)/12)/(4/24). Solve 0 = -l*s - 23 - 13 for s.\n | -4\n | ibivibiv/math_instruct | |
Does 3 divide 441397090?\n | False\n | ibivibiv/math_instruct | |
Suppose 13*w + 0*w - 221 = 0. Let m = 5 - -9. Let g = m + w. What is the remainder when g is divided by 17?\n | 14\n | ibivibiv/math_instruct | |
Suppose -36 + 54 = 6*i. What is the smallest common multiple of 490 and i?\n | 1470\n | ibivibiv/math_instruct | |
Suppose 0 = 2*w + 5*w - 126. Suppose 3*u + 5*c - 2 + 18 = 0, 3*c + w = u. Suppose 5*q + 20 = 0, 4*q - 9*q - 18 = i. Solve i*v + u = 1 for v.\n | -1\n | ibivibiv/math_instruct | |
Let q = 92 - 28. List the prime factors of q.\n | 2\n | ibivibiv/math_instruct | |
Let j(h) be the first derivative of -h**2/2 - 14*h + 156. Calculate j(-12).\n | -2\n | ibivibiv/math_instruct | |
What is prob of sequence nn when two letters picked without replacement from tnnnneefnvnezenn?\n | 7/30\n | ibivibiv/math_instruct | |
Joan purchased a basketball game for $5.20 with a 15% discount, a racing game for $4.23 with a 10% discount, and a puzzle game for $3.50 with no discount. Additionally, there was an 8% sales tax applied to the entire purchase. How much did Joan spend on video games after applying the discounts and sales tax? | First, let's calculate the discounted prices for the basketball and racing games.
For the basketball game:
Original price = $5.20
Discount = 15% of $5.20
= 0.15 * $5.20
= $0.78
Discounted price = Original price - Discount
= $5.20 - $0.78
= $4.42
For the racin... | ibivibiv/math_instruct | |
Solve -15*x + 112 = 7*x - 372 for x.\n | 22\n | ibivibiv/math_instruct | |
What is 429 minutes before 5:49 PM?\n | 10:40 AM\n | ibivibiv/math_instruct | |
Round 0.0418069477 to five decimal places.\n | 0.04181\n | ibivibiv/math_instruct | |
Let h = 5.18 + -5.14. Put -0.2, h, 2/11 in increasing order.\n | -0.2, h, 2/11\n | ibivibiv/math_instruct | |
Let s = -21 + 24. Let p = s - 7.3. Let b = p + 4.2999978. Round b to 6 decimal places.\n | -0.000002\n | ibivibiv/math_instruct | |
Convert 3153 (base 8) to base 14.\n | 855\n | ibivibiv/math_instruct | |
Is 1709568 a multiple of 24?\n | True\n | ibivibiv/math_instruct | |
-18171 times -4204\n | 76390884\n | ibivibiv/math_instruct | |
Is 17 at least 1/4?\n | True\n | ibivibiv/math_instruct | |
What is the second biggest value in 6, 0.4, -304, -5, -2, -1?\n | 0.4\n | ibivibiv/math_instruct | |
Expand 45 - 45 + 9*p + (1 + 8 + 4)*(3 + p - 3).\n | 22*p\n | ibivibiv/math_instruct | |
What is -2 divided by 12?\n | -1/6\n | ibivibiv/math_instruct | |
Let t = 0 - -0.05. Let l = -0.05 - t. Let c = -0.5 - -0.3. What is the nearest to l in c, -1, 0.2?\n | c\n | ibivibiv/math_instruct | |
Is 16603 less than 16606?\n | True\n | ibivibiv/math_instruct | |
Simplify (-3*sqrt(77)*-2 - (-6*-1*sqrt(77) - sqrt(77)))/((sqrt(11) + sqrt(99))*-1*-6).\n | sqrt(7)/24\n | ibivibiv/math_instruct | |
Let k be 1/1*6 - (-174)/8. Which is smaller: 27 or k?\n | 27\n | ibivibiv/math_instruct | |
Let k(f) = -4*f**2 - 75*f + 24. Let y be k(-19). Let q(s) = -2*s**2 + 5 + 5*s**2 - 51*s**3 - y*s**2 + s**2 + s + 50*s**3. Calculate q(0).\n | 5\n | ibivibiv/math_instruct | |
Let b be (-276)/(-48) + (-3)/(-12). Suppose 0 = -b*r + r + 510. List the prime factors of r.\n | 2, 3, 17\n | ibivibiv/math_instruct | |
Let u(y) = -1 + 5 - 4 - 2*y. Let n be (-2)/8 - (-52)/16. Let z(w) = 3*w**2 + 6*w**2 + n*w**2 - 3*w**2. Calculate u(z(b)).\n | -18*b**2\n | ibivibiv/math_instruct | |
What is the highest common divisor of 450 and 3945?\n | 15\n | ibivibiv/math_instruct | |
Let n(r) = 35*r**2 + 27*r + 138. What is the remainder when n(-5) is divided by 55?\n | 53\n | ibivibiv/math_instruct | |
What is the cube root of 772 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Solve 38*f - 56 + 1 = 43*f for f.\n | -11\n | ibivibiv/math_instruct | |
Let j be (5 - 6/(-2)) + (-39)/6. What is the smallest value in 784, -1, j, 1?\n | -1\n | ibivibiv/math_instruct | |
Work out 0.0446 * -0.61.\n | -0.027206\n | ibivibiv/math_instruct | |
Find the second derivative of -92526*r**3 + 227953*r.\n | -555156*r\n | ibivibiv/math_instruct | |
Let f be (-5 - -7) + (0 - -3). Suppose 2*o - f*j - 27 = 0, -2*o - 2*o = -2*j - 14. Let i = 74 + -69. What is the smallest common multiple of i and o?\n | 5\n | ibivibiv/math_instruct | |
In base 13, what is 12604c - -8?\n | 126057\n | ibivibiv/math_instruct | |
Let i be ((-20)/16)/((-75)/240). Sort -10, i, -70.\n | -70, -10, i\n | ibivibiv/math_instruct | |
What is 837534224 to the power of 1/8, to the nearest integer?\n | 13\n | ibivibiv/math_instruct | |
What is 19/4 of a gram in milligrams?\n | 4750\n | ibivibiv/math_instruct | |
Which is greater: -0.9 or 1418082?\n | 1418082\n | ibivibiv/math_instruct | |
Let w = 51 + -50. Solve 0 = -k + 6 - w for k.\n | 5\n | ibivibiv/math_instruct | |
What is -0.005173498 rounded to 3 dps?\n | -0.005\n | ibivibiv/math_instruct | |
Solve 74*n + 92 + 278 = 0 for n.\n | -5\n | ibivibiv/math_instruct | |
Expand 3*j**4 - 2*j**4 - 13*j**4 + (0*j + 0*j - j)*(2*j**3 + 0 + 0) - 11*j**4 + 9*j**4 + 12*j**4 + 0*j**4 + 0*j**4 + 3*j**4.\n | -j**4\n | ibivibiv/math_instruct | |
List the prime factors of 6763828.\n | 2, 31, 54547\n | ibivibiv/math_instruct | |
-3*((-40)/48 - -1)\n | -1/2\n | ibivibiv/math_instruct | |
Is 1269660319 a prime number?\n | True\n | ibivibiv/math_instruct | |
Express 14673*w**2 - 28 - 2*w - 29338*w**2 + 14674*w**2 + 2*w as d*w**2 + l + a*w and give d.\n | 9\n | ibivibiv/math_instruct | |
Let q be (-2)/(-10)*-597 - 3. Let x(v) = 33*v + 10. Let g be x(-4). Let d = q - g. Is -1 equal to d?\n | False\n | ibivibiv/math_instruct | |
Let p(b) = b**2 + 7*b + 9. Let k be p(-7). Is 11 a factor of k + (2 + 0)*1?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {t: 2, o: 4, c: 1, u: 1}. Give prob of sequence uc.\n | 1/56\n | ibivibiv/math_instruct | |
Let a be 3/((-5)/2150*15). Which is greater: a or -83?\n | -83\n | ibivibiv/math_instruct | |
Let h(m) = m**2 - 10*m - 20. Give h(12).\n | 4\n | ibivibiv/math_instruct | |
Product of 42 and 0.1861.\n | 7.8162\n | ibivibiv/math_instruct | |
What is the next term in 106, 106, 98, 76, 34, -34, -134, -272?\n | -454\n | ibivibiv/math_instruct | |
Let x(c) = -2*c - 2*c + 0 + 1. Let v = -41 - -25. Let o be (v/(-6))/((-16)/(-24)). What is x(o)?\n | -15\n | ibivibiv/math_instruct | |
Let i(u) = 60*u. Let d(b) = -20*b. Determine -14*d(a) - 5*i(a).\n | -20*a\n | ibivibiv/math_instruct | |
What is -27 - -15 - (100 + -88)?\n | -24\n | ibivibiv/math_instruct | |
Does 26 divide 16311740?\n | False\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 378 and 1404.\n | 54\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 18091 and 6.\n | 108546\n | ibivibiv/math_instruct | |
Collect the terms in -2*s**2 - 14*s + 201*s + s**2.\n | -s**2 + 187*s\n | ibivibiv/math_instruct | |
Suppose u - 2*a = 3557 + 2439, 2*u - a - 11977 = 0. Suppose -15*l - 1966 + u = 0. List the prime factors of l.\n | 2, 67\n | ibivibiv/math_instruct | |
What is the result of the following expression?
92.6525 / 85.3513 | 1.0855 | ibivibiv/math_instruct | |
Simplify (3*2*sqrt(66)*3*6)/((2*sqrt(5400))/((sqrt(81) - sqrt(9))*4)).\n | 216*sqrt(11)/5\n | ibivibiv/math_instruct | |
Simplify (s*s/(s**(-2)/s)*s*s*s*s**(-1/5)*s)**(-2/65) assuming s is positive.\n | s**(-88/325)\n | ibivibiv/math_instruct | |
Let b(h) = -7*h**4 + 9*h**3 + 3*h**2 + 5*h + 5. Let i(n) = 8*n**4 - 10*n**3 - 4*n**2 - 6*n - 6. Let y(m) = -6*b(m) - 5*i(m). Suppose y(d) = 0. Calculate d.\n | 0, 1\n | ibivibiv/math_instruct | |
What is the closest to 118 in -0.1, -353, 0.05, 2/9?\n | 2/9\n | ibivibiv/math_instruct | |
Calculate -29*(12/(-14))/(-3)*78267/(-108083).\n | 6\n | ibivibiv/math_instruct | |
Let g be (1/(-2))/(2/4). Let y = 3 + g. Determine p so that -6*p**2 + 1 - 4*p - p**4 - y - p**3 - 3*p**3 = 0.\n | -1\n | ibivibiv/math_instruct | |
Let r = -0.55 - -57.55. Let s = 59.7 - r. Let w = s + -3. Sort -1/5, -1, w in descending order.\n | -1/5, w, -1\n | ibivibiv/math_instruct | |
Let j = 0.88 - -37.12. Let o = j - 38.45. Let q = o - -0.85. What is the closest to 1/7 in q, -0.2, 0.1?\n | 0.1\n | ibivibiv/math_instruct | |
Which is the closest to 28? (a) 4168.1 (b) 1 (c) -4\n | b\n | ibivibiv/math_instruct | |
Let f(w) = -w - 1. Let u(x) = 5*x + 2. Suppose 0 = 5*z + 3*b + 10, 18 = 2*z - 4*z - 4*b. Let m(i) = z*u(i) - f(i). Find the first derivative of m(g) wrt g.\n | 6\n | ibivibiv/math_instruct | |
What is 50314 to the power of 1/10, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Evaluate (-136)/(-16)*(-9 + (14 - 7)).\n | -17\n | ibivibiv/math_instruct | |
Suppose 3*o + 6 = -3. Let a be (4/(-4) - -3) + o. Let s be 7/(a/16*-4). What is the highest common divisor of 4 and s?\n | 4\n | ibivibiv/math_instruct | |
Suppose 2*u = -4*x + 12 - 0, 0 = -2*x + 4*u - 4. Suppose -x*r = -9 + 21. List the prime factors of (r/(-4))/((-9)/(-24)).\n | 2\n | ibivibiv/math_instruct | |
Solve -4649*j - 13797 - 32693 = 0 for j.\n | -10\n | ibivibiv/math_instruct | |
Let p = 4 - 4.3. Let m = -0.8 - p. Let u = -165.35 + 165.15. What is the nearest to u in 3/5, m, 2?\n | m\n | ibivibiv/math_instruct | |
Let q be -2 + 9 - (0 - -2). Let a = 3 - -2. Calculate the highest common divisor of q and a.\n | 5\n | ibivibiv/math_instruct | |
What is 3/40 of a day in minutes?\n | 108\n | ibivibiv/math_instruct | |
Simplify (sqrt(3000)*-1 + sqrt(3000) - sqrt(30))/((sqrt(216) - sqrt(54))/sqrt(9)).\n | -sqrt(5)\n | ibivibiv/math_instruct | |
Suppose -2*z = -18 - 402. Suppose -5*b - 53 = -t - 6*b, 4*t + 2*b = z. Suppose -10 = 2*r - t. What is the tens digit of r?\n | 2\n | ibivibiv/math_instruct | |
Suppose 5*i = -3*a - 1237, 0*i + 399 = -a + i. Let v = -37 - a. Is v composite?\n | False\n | ibivibiv/math_instruct | |
Find the third derivative of 300*r**6 + 26*r**2 wrt r.\n | 36000*r**3\n | ibivibiv/math_instruct | |
-202323 (base 4) to base 16\n | -8bb\n | ibivibiv/math_instruct | |
Round 0.45131 to three dps.\n | 0.451\n | ibivibiv/math_instruct | |
Let h(c) = c**3 + 21*c**2 - 4*c - 40. Let g be h(-21). Suppose -u + g - 30 = 0. Let n(s) = -10*s**3 + 7*s. Let v(y) = -y**3 + y. Determine u*v(m) - 2*n(m).\n | 6*m**3\n | ibivibiv/math_instruct |
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