instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Simplify ((b**(-1/3)/((b*b/b**1*b)/b))/((b*b*b**(-2/3)*b*b)/b**(-1/5)))**(-35/2) assuming b is positive.\n | b**(511/6)\n | ibivibiv/math_instruct | |
Let a(u) = u**3 - 6*u**2 - 11*u + 6. What is a(7)?\n | -22\n | ibivibiv/math_instruct | |
What is the sixth root of 476975 to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
What is 2095391 to the power of 1/8, to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
Collect the terms in -286*a**3 + 17 - 17.\n | -286*a**3\n | ibivibiv/math_instruct | |
What is the hundreds digit of 23230912?\n | 9\n | ibivibiv/math_instruct | |
Let i = -191.7 + 192. What is the third biggest value in i, 2/95, 0, -1/6?\n | 0\n | ibivibiv/math_instruct | |
Is 2362689757 a prime number?\n | True\n | ibivibiv/math_instruct | |
Suppose -2*c + 31 = -y - 75, 5*y = 20. Let v = 139 - c. Is 11 a factor of v?\n | False\n | ibivibiv/math_instruct | |
Expand -3*u - u**3 + 3*u + u**2 + 2*u**3 - u**2 + (0 + 3 - 1)*(3*u**3 - 3*u**3 + 2*u**3) - 26 - 2*u**3 - 40 + 52.\n | 3*u**3 - 14\n | ibivibiv/math_instruct | |
What are the prime factors of 713035?\n | 5, 142607\n | ibivibiv/math_instruct | |
Calculate the remainder when 1138 is divided by 125.\n | 13\n | ibivibiv/math_instruct | |
Find u, given that -10*u**4 - 414152*u**3 - 1325122*u**2 + 2567628*u + 3478608 = 0.\n | -41412, -21/5, -1, 2\n | ibivibiv/math_instruct | |
Let w = 8898 + -2269. What is the tens digit of w?\n | 2\n | ibivibiv/math_instruct | |
Let i = 71913/920 - 1471/40. Is i greater than 41?\n | True\n | ibivibiv/math_instruct | |
b"What is the mth term of 886482, 1772933, 2659370, 3545787, 4432178, 5318537, 6204858?\n" | -m**3 - m**2 + 886461*m + 23\n | ibivibiv/math_instruct | |
Which is smaller: -642/19 or 65?\n | -642/19\n | ibivibiv/math_instruct | |
How many months are there in 5/6 of a millennium?\n | 10000\n | ibivibiv/math_instruct | |
Suppose 24 = -8*k + 4*k. Let r(a) = -4*a**2 + 5*a + 7. Let n(c) = c**2 - 1. Let l(h) = -5*n(h) - r(h). Give l(k).\n | -8\n | ibivibiv/math_instruct | |
Evaluate (2/(-56))/(10/120).\n | -3/7\n | ibivibiv/math_instruct | |
Let j = 23/84 - -1/84. What is the closest to -0.03 in j, 1, -2?\n | j\n | ibivibiv/math_instruct | |
Calculate the remainder when 4199 is divided by 117.\n | 104\n | ibivibiv/math_instruct | |
What are the prime factors of 22521076?\n | 2, 5630269\n | ibivibiv/math_instruct | |
Is 13091567 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let h = 7 + -6.84. Let j = -0.160045 + h. Round j to 5 decimal places.\n | -0.00005\n | ibivibiv/math_instruct | |
What is the hundreds digit of 6600159211?\n | 2\n | ibivibiv/math_instruct | |
Let h = -30.6 - -34. Let z = h - 3. Let k = -7322.7 + 7322. Sort 2, k, z in descending order.\n | 2, z, k\n | ibivibiv/math_instruct | |
Suppose -3*f - 5*b + 4704 = -0*f, -3*f = -4*b - 4704. Suppose f = -3*z + 7*z. Is z a multiple of 56?\n | True\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) -114 (b) 1754 (c) -16\n | c\n | ibivibiv/math_instruct | |
Is 280652611 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the second biggest value in -2/7, 4, -0.3?\n | -2/7\n | ibivibiv/math_instruct | |
Suppose 3*l + 4*b - 5 - 8 = 0, 4*b + 5 = 3*l. Suppose 0*u + u = 0. Factor u*f + 8*f**l + 3*f**2 + 11*f - 23*f**3 - 9 + 6*f**4 + 4*f.\n | 3*(f - 1)**2*(f + 1)*(2*f - 3)\n | ibivibiv/math_instruct | |
What is the nearest to 0 in 0.1, -5, 332573?\n | 0.1\n | ibivibiv/math_instruct | |
Let b(x) = -x**2 + 12*x - 22. Let n be b(9). Suppose -1466 - 1119 = -n*z. Is z prime?\n | False\n | ibivibiv/math_instruct | |
Let a(g) = g**2 + 2*g - 4. Let m be a(-4). What is the third derivative of 2*k**m - 3*k + 3*k + 0*k**2 + 5*k**2 wrt k?\n | 48*k\n | ibivibiv/math_instruct | |
Let d(a) = -1065*a - 2 + 2125*a - 1065*a. Determine d(3).\n | -17\n | ibivibiv/math_instruct | |
Let a be ((-40)/30)/(10/(-4965)). Suppose 44*i = 42*i + a. Is i a composite number?\n | False\n | ibivibiv/math_instruct | |
What comes next: 447256, 894299, 1341342, 1788385, 2235428?\n | 2682471\n | ibivibiv/math_instruct | |
Which is the nearest to -4? (a) -24916 (b) -2 (c) 3.9 (d) 0.2\n | b\n | ibivibiv/math_instruct | |
What is the value of -25 + (5 - -6 - -8)?\n | -6\n | ibivibiv/math_instruct | |
Let l(o) = -o + 6. What is l(5)?\n | 1\n | ibivibiv/math_instruct | |
Let z = 41 - 29. Suppose 63 = 5*a - z. Solve -2*t = 3*t + a for t.\n | -3\n | ibivibiv/math_instruct | |
Evaluate 2 + 0 - (146 + -169).\n | 25\n | ibivibiv/math_instruct | |
What is 5 times 228358?\n | 1141790\n | ibivibiv/math_instruct | |
Let v(p) = -2*p**2 - 3*p - 3. Let d(t) = 1 + t**3 + 3*t**2 - 2 + 5 + 4*t. Suppose 0 = -2*x + x + 4*b - 6, -4*x - b = -10. What is x*d(z) + 3*v(z)?\n | 2*z**3 - z - 1\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) 3241 (b) 0.03274 (c) 0.17\n | b\n | ibivibiv/math_instruct | |
Is 44270059 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the square root of 1566803 to the nearest integer?\n | 1252\n | ibivibiv/math_instruct | |
Rearrange (-c**2 - 2*c**2 + 2*c**2 - 2 + (-1 + 2*c + 1)*(-2*c - 3*c + 4*c))*(167 - 89 - 3*c - 65) to i*c**2 + o*c + v*c**3 + l and give i.\n | -39\n | ibivibiv/math_instruct | |
Let q(t) be the second derivative of t**5/10 + 5*t**4/3 + t**3 - 3*t**2 + 13*t. Let n be q(-9). Let s = n - 71. What is the remainder when 60 is divided by s?\n | 29\n | ibivibiv/math_instruct | |
Calculate -7925328 divided by -376.\n | 21078\n | ibivibiv/math_instruct | |
What is 294293662 to the power of 1/9, to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Suppose 260 = -50*a + 54*a. Let v = -62 + a. Solve 12 = -3*z + 2*u, v*z + 12 = -0*z - 5*u for z.\n | -4\n | ibivibiv/math_instruct | |
Calculate the remainder when 35 is divided by 22.\n | 13\n | ibivibiv/math_instruct | |
In base 3, what is 0 + -1002?\n | -1002\n | ibivibiv/math_instruct | |
Suppose h - 2745 = -2736. Solve 24 = m - h*m for m.\n | -3\n | ibivibiv/math_instruct | |
6a (base 11) to base 8\n | 114\n | ibivibiv/math_instruct | |
Let w be 45/(-18)*(-12)/10. Let m(b) be the first derivative of 1 - 5 - 5*b**3 + 6*b**w. Let d(k) = -3*k**2. Calculate m(d(f)).\n | 27*f**4\n | ibivibiv/math_instruct | |
Simplify 2*(sqrt(48) + 1) - -1*sqrt(108)*4.\n | 2 + 32*sqrt(3)\n | ibivibiv/math_instruct | |
What is 3414 to the power of 1/2, to the nearest integer?\n | 58\n | ibivibiv/math_instruct | |
What is the seventh root of 2445473957 to the nearest integer?\n | 22\n | ibivibiv/math_instruct | |
How many millimeters are there in one twentieth of a meter?\n | 50\n | ibivibiv/math_instruct | |
Let t be (879 - -1) + -2 + (5 - 3). Suppose g - t = -4*g. List the prime factors of g.\n | 2, 11\n | ibivibiv/math_instruct | |
Which is the closest to -1? (a) 68 (b) -0.033 (c) 0.087 (d) 0.3 (e) 1\n | b\n | ibivibiv/math_instruct | |
What is 84/63*-1*3?\n | -4\n | ibivibiv/math_instruct | |
What is the nearest to -1 in 0.2, -2/7, -2, 2498, -5?\n | -2/7\n | ibivibiv/math_instruct | |
Divide -310140 by 103380.\n | -3\n | ibivibiv/math_instruct | |
Is 9180672513 a composite number?\n | True\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 2/5 (b) 9.8 (c) -3 (d) 4/3\n | d\n | ibivibiv/math_instruct | |
Solve 46/3*b**2 - 34/3*b**4 - 4 - 98/3*b + 98/3*b**3 = 0 for b.\n | -1, -2/17, 1, 3\n | ibivibiv/math_instruct | |
What is the common denominator of (-10)/(-12)*((-95)/50 - -1) and 83/2?\n | 4\n | ibivibiv/math_instruct | |
What is 289 minutes after 10:55 PM?\n | 3:44 AM\n | ibivibiv/math_instruct | |
What is the value of 5 - 8 - -19 - (-2 + -2 + 6)?\n | 14\n | ibivibiv/math_instruct | |
Round 63515900 to the nearest one million.\n | 64000000\n | ibivibiv/math_instruct | |
Let v be 20/(-2) - 4 - -5302. What is the greatest common factor of 8 and v?\n | 8\n | ibivibiv/math_instruct | |
Let t(n) be the third derivative of 0 + 0*n + 1/120*n**6 + 0*n**4 - 13*n**2 - 4/3*n**3 - 7/60*n**5. What is t(7)?\n | -8\n | ibivibiv/math_instruct | |
Let t = 3517 + -1873. What is the units digit of t?\n | 4\n | ibivibiv/math_instruct | |
Let h = 39 + -36. Suppose -3*j + h = 0, -40 = -4*r - j + 5*j. Let o = 254 + r. Is o a prime number?\n | False\n | ibivibiv/math_instruct | |
Work out 57 + -1562740.\n | -1562683\n | ibivibiv/math_instruct | |
Let n be (1 + -4)*(-4)/4. Let j be (-4 + n + 1)/1. Suppose j = -6*s + s + 25. Is 2 a factor of s?\n | False\n | ibivibiv/math_instruct | |
Let c(a) = 7*a**3 - 2*a**2 - 9*a - 5. Let j(l) = 15*l**3 - 5*l**2 - 19*l - 11. Let h(z) = 13*c(z) - 6*j(z). What are the prime factors of h(3)?\n | 5, 11\n | ibivibiv/math_instruct | |
Suppose -24*d = -29*d + 990. What is the greatest common divisor of d and 11?\n | 11\n | ibivibiv/math_instruct | |
Rearrange -w - 13*w**3 + w**3 + 10*w**2 + 7*w**3 + 4*w**3 to the form d*w**3 + s + q*w**2 + v*w and give q.\n | 10\n | ibivibiv/math_instruct | |
What is ((-2)/(-22))/((-5)/(-11))?\n | 1/5\n | ibivibiv/math_instruct | |
Put -1, -4, -6, 61 in ascending order.\n | -6, -4, -1, 61\n | ibivibiv/math_instruct | |
Sort 2445, 11, 191, 4.\n | 4, 11, 191, 2445\n | ibivibiv/math_instruct | |
Let f be (2*(-5)/(-2))/(-1). Let d = f + 3. Let h be (-84)/(-2) - (-4)/d. Calculate the greatest common divisor of 16 and h.\n | 8\n | ibivibiv/math_instruct | |
What is the tenth root of 506950903 to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Let h be (-1494)/45 - 1/(-5). Let y = -30 - h. Suppose 34 = 4*u - g + y*g, -g = -5. What are the prime factors of u?\n | 2, 3\n | ibivibiv/math_instruct | |
List the prime factors of 1478.\n | 2, 739\n | ibivibiv/math_instruct | |
Let j(g) = -5120289*g**2. Let o(f) = f. Determine o(j(k)).\n | -5120289*k**2\n | ibivibiv/math_instruct | |
Suppose -3*g - 8 = 13. Let j be (-51)/(-7) + 2/g. Let r(l) = 2*l**2 + 25*l + 43. Let t be r(-13). What is the highest common factor of j and t?\n | 7\n | ibivibiv/math_instruct | |
What is the thousands digit of 4123789556?\n | 9\n | ibivibiv/math_instruct | |
Expand (-v + 3*v - 3*v)*(5*v + 47 - 47)*(1 - 4 + 1) - v**2 - 3*v**2 + 5*v**2 - v**2 + 2 - 2 + (1 - 1 - 2*v)*(2*v - 2 + 2).\n | 6*v**2\n | ibivibiv/math_instruct | |
Round -0.17077 to 3 dps.\n | -0.171\n | ibivibiv/math_instruct | |
What comes next: 445, 887, 1331, 1777, 2225, 2675, 3127?\n | 3581\n | ibivibiv/math_instruct | |
What is six fifths of a tonne in kilograms?\n | 1200\n | ibivibiv/math_instruct | |
What is the smallest common multiple of (-56)/(-20) - 3 - 46/(-5) and 18?\n | 18\n | ibivibiv/math_instruct | |
What is the value of -10 + -18 + 29 + 13?\n | 14\n | ibivibiv/math_instruct | |
What is the next term in -278, -220, -162, -104, -46, 12?\n | 70\n | ibivibiv/math_instruct |
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