instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate -1325571.3 + -1.\n | -1325572.3\n | ibivibiv/math_instruct | |
Is 80816383 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is the value of -1*(0 - 0) + 7*-1?\n | -7\n | ibivibiv/math_instruct | |
Let x(i) = -6*i**4 + 208*i**3 + 2*i - 2. Let y(k) = -25*k**4 + 834*k**3 + 9*k - 9. Let h(b) = 9*x(b) - 2*y(b). Factor h(t).\n | -4*t**3*(t - 51)\n | ibivibiv/math_instruct | |
Let h(t) = 3*t**3 + 70*t**2 + 22*t - 6. Let w be h(-23). Solve g + 5*l + 19 = 2*l, -l - w = 3*g for g.\n | -4\n | ibivibiv/math_instruct | |
Rearrange (2*w + 0*w + 0*w)*(2 + 6 + 6*w**2 - 7)*(-16 - 24 + 36) to the form o + c*w + z*w**3 + b*w**2 and give c.\n | -8\n | ibivibiv/math_instruct | |
What is 44 to the power of 1/2, to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Let u be (-14)/(112/24)*-1. Solve -3*s - u*n + 16 = 4, 4*s + 2*n = 6 for s.\n | -1\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {p: 1, i: 5, b: 2, v: 2, o: 1, t: 4}. What is prob of picking 1 i, 2 t, and 1 o?\n | 2/91\n | ibivibiv/math_instruct | |
Sort 2/7, -2/17, 97/2, 2.185, 5 in decreasing order.\n | 97/2, 5, 2.185, 2/7, -2/17\n | ibivibiv/math_instruct | |
Simplify -2 + (sqrt(132)/sqrt(3))**2.\n | 42\n | ibivibiv/math_instruct | |
Suppose 9 = -5*n + 24. What is the closest to n in -2, -0.3, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
Calculate ((-315)/(-6))/7*2*(-6)/9.\n | -10\n | ibivibiv/math_instruct | |
In base 3, what is 20210121211111121 + 21?\n | 20210121211111212\n | ibivibiv/math_instruct | |
Calculate -342377744 divided by -4.\n | 85594436\n | ibivibiv/math_instruct | |
Let u = 0.194 + -0.194. What is the closest to -2/21 in -0.3, u, 2/13?\n | u\n | ibivibiv/math_instruct | |
Simplify 1*(2 + sqrt(13)) + 4 + 3*(-4 + sqrt(13) + 0).\n | -6 + 4*sqrt(13)\n | ibivibiv/math_instruct | |
Let n(b) = b**3 + 5*b**2 + b + 3. Let h be (3/5 - 186/60)*2. Calculate n(h).\n | -2\n | ibivibiv/math_instruct | |
Solve 15520*k + 269166 + 63730 = 12224*k for k.\n | -101\n | ibivibiv/math_instruct | |
Simplify ((2*4*sqrt(102) + sqrt(102) + sqrt(102))/(sqrt(60)/(sqrt(10) + sqrt(10) + sqrt(250) + sqrt(10))))**2.\n | 108800\n | ibivibiv/math_instruct | |
Suppose -10*m + 151 = -59. Do 29 and m have the same value?\n | False\n | ibivibiv/math_instruct | |
What is the nearest to -1 in -5, -1, -0.02, -3/5?\n | -1\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 33072 and 156.\n | 33072\n | ibivibiv/math_instruct | |
Calculate the remainder when 765 is divided by 180.\n | 45\n | ibivibiv/math_instruct | |
Suppose 3*m = 4*m - 15. Let w(o) be the third derivative of -o**4/6 - 7*o**3/6 + o**2. What is the remainder when w(-9) is divided by m?\n | 14\n | ibivibiv/math_instruct | |
Find the third derivative of -4*i**6 + 277*i**4 + 40*i**3 - 324334*i**2.\n | -480*i**3 + 6648*i + 240\n | ibivibiv/math_instruct | |
What is 4349727 to the power of 1/2, to the nearest integer?\n | 2086\n | ibivibiv/math_instruct | |
Find the common denominator of -131/162 and (-2143)/729 + 2 + 26/(-13) + 3.\n | 1458\n | ibivibiv/math_instruct | |
Simplify sqrt(102)/sqrt(6) + 4 - (2 + sqrt(17))*6.\n | -5*sqrt(17) - 8\n | ibivibiv/math_instruct | |
Solve -v = -3*i + 52, 0 = -2*i + 19613*v - 19618*v - 295 + 1 for i.\n | -2\n | ibivibiv/math_instruct | |
Solve 710 = 1324*a - 711 + 631 - 1858 for a.\n | 2\n | ibivibiv/math_instruct | |
Solve 0 = -6*n - 4*n - 80 for n.\n | -8\n | ibivibiv/math_instruct | |
What is 520 minutes before 8:37 AM?\n | 11:57 PM\n | ibivibiv/math_instruct | |
Suppose z + 1 = -2*h + 2, 5*h + 11 = 2*z. Let d(q) = -q**2 + 2*q + 3. Let s be d(z). Let l(w) = 491 - 2*w**3 - w**2 + w + w**3 - 496. Calculate l(s).\n | -5\n | ibivibiv/math_instruct | |
Is 432037 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let f be 6 + 4/4 + -3. Suppose -318578 + 26578 = -f*t. Round t to the nearest ten thousand.\n | 70000\n | ibivibiv/math_instruct | |
Let r be (-68)/18 - 14/63. Let f be (-2)/(r/8*-4). Let l(c) = 51*c**2 - c - 2. Is l(f) a multiple of 41?\n | False\n | ibivibiv/math_instruct | |
Divide 494 by 26.\n | 19\n | ibivibiv/math_instruct | |
In base 9, what is -5 + 6585?\n | 6580\n | ibivibiv/math_instruct | |
Let o(c) = -c**3 - 10*c**2 - 11*c + 13. Calculate the remainder when o(-9) is divided by 17.\n | 14\n | ibivibiv/math_instruct | |
Let c = 603 - 601. Solve -4 = c*x - 6 for x.\n | 1\n | ibivibiv/math_instruct | |
Let f = -43904 - -62863. Is f a composite number?\n | False\n | ibivibiv/math_instruct | |
How many minutes are there between 11:14 AM and 4:36 PM?\n | 322\n | ibivibiv/math_instruct | |
What is 114/190 + 51/(-135)?\n | 2/9\n | ibivibiv/math_instruct | |
((-39)/(-39))/((4/17)/4)\n | 17\n | ibivibiv/math_instruct | |
Let d = -3893 - -3888. Let k = -1.17 + 0.17. Which is the nearest to k? (a) d (b) -1 (c) -0.083\n | b\n | ibivibiv/math_instruct | |
Put -24, -18582, 9 in decreasing order.\n | 9, -24, -18582\n | ibivibiv/math_instruct | |
Let q(m) = -3*m - 85. What is q(-5)?\n | -70\n | ibivibiv/math_instruct | |
Let x = -294 - -310. Let l(o) = 29*o + 2. Let a be l(6). Calculate the highest common factor of x and a.\n | 16\n | ibivibiv/math_instruct | |
Collect the terms in 6*y - 47157 + 47157.\n | 6*y\n | ibivibiv/math_instruct | |
What is 3.88 + 25596602.01686?\n | 25596605.89686\n | ibivibiv/math_instruct | |
Evaluate (-28)/12*3*24/56.\n | -3\n | ibivibiv/math_instruct | |
Solve -226*o + 110*o + 64 = -121*o - y - 38, 3*o = 5*y - 78 for o.\n | -21\n | ibivibiv/math_instruct | |
Let l(n) = 6*n**2 - 3. Let y(j) = -5*j - 1 + 9*j + 8*j. Calculate the remainder when l(2) is divided by y(1).\n | 10\n | ibivibiv/math_instruct | |
Let c(w) = 20*w**2 - 905*w + 228. Give c(45).\n | 3\n | ibivibiv/math_instruct | |
Suppose m + 4*w - 18 = 0, -m = -2*m - 5*w + 22. Let t be -4 + (-272)/m - 2. Calculate the common denominator of 12/11 and -4 + 5 - t/(-4).\n | 22\n | ibivibiv/math_instruct | |
Suppose 4*b + 1 = 2*c - 25, 2*c - 3*b - 23 = 0. Suppose 2*y - 15 = c. What is the units digit of y?\n | 1\n | ibivibiv/math_instruct | |
Simplify 2*sqrt(500) + 3.\n | 3 + 20*sqrt(5)\n | ibivibiv/math_instruct | |
What is prob of sequence ndd when three letters picked without replacement from andadaa?\n | 1/105\n | ibivibiv/math_instruct | |
Find the first derivative of -155 + 2487*c - 964 - 50 wrt c.\n | 2487\n | ibivibiv/math_instruct | |
Convert -12 (base 8) to base 2.\n | -1010\n | ibivibiv/math_instruct | |
Suppose -3*d = 4*h + h, -5*h - 15 = 0. Suppose 0 = d*l - l. Suppose 0 = -l*r + r. Solve -g + 2 = -r*g for g.\n | 2\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 3/21 + 830/70 and 2?\n | 12\n | ibivibiv/math_instruct | |
Let m(a) = -2*a**2 + 30*a - 41. Let t be m(6). Calculate the greatest common factor of 603 and t.\n | 67\n | ibivibiv/math_instruct | |
Suppose -5*l + 27 - 2 = 0. Suppose 0 = 3*x + l*y + 7, -5*x + 5*y + 3 = -12. Let a be (-4)/(1 + -5 - -2). Put -5, a, x in decreasing order.\n | a, x, -5\n | ibivibiv/math_instruct | |
Let x(j) = j + 6. Let d be x(-4). Suppose -2*g + 17 = -d*u + 45, 0 = 4*u - 5*g - 56. What are the prime factors of u?\n | 2, 7\n | ibivibiv/math_instruct | |
Put -1660, -2, -1 in decreasing order.\n | -1, -2, -1660\n | ibivibiv/math_instruct | |
Suppose 0 = 8*y - 3*y - 95. Let l = y + -13. Solve 0 = -x + l*x + 20 for x.\n | -4\n | ibivibiv/math_instruct | |
What is the value of (-3*(-3)/6)/18?\n | 1/12\n | ibivibiv/math_instruct | |
List the prime factors of 4017492.\n | 2, 3, 37199\n | ibivibiv/math_instruct | |
What is the smallest value in -1/4, -4, -12.5, 11, -2.47, -0.5, -5?\n | -12.5\n | ibivibiv/math_instruct | |
Is (-210)/28*(1 + (-4994 - -9)) a multiple of 20?\n | True\n | ibivibiv/math_instruct | |
Let w = -36924 - -66493. Is w a prime number?\n | True\n | ibivibiv/math_instruct | |
Let a = -11788 + 11825. Suppose -5*k + k + 1628 = -5*z, 0 = -z. Calculate the greatest common factor of a and k.\n | 37\n | ibivibiv/math_instruct | |
Let y(s) be the third derivative of -31*s**9/504 - 3*s**5/10 - 25*s**2. Find the third derivative of y(d) wrt d.\n | -3720*d**3\n | ibivibiv/math_instruct | |
Suppose -45 = -14*p - 3. Solve 0 - 2 - 63*d**p + 61*d**3 + 2*d**4 + 2 = 0.\n | 0, 1\n | ibivibiv/math_instruct | |
Simplify ((c**(-3/5)/(c**(-6)*c)*c**1*c*c*c*c/(c**(-4/9)*c))**(-10/9))**(-2/133) assuming c is positive.\n | c**(1592/10773)\n | ibivibiv/math_instruct | |
Let m(p) = 78801*p**3 - 2*p**2 - 5*p + 9. Is m(1) a composite number?\n | False\n | ibivibiv/math_instruct | |
Convert 543021.2mg to grams.\n | 543.0212\n | ibivibiv/math_instruct | |
What is eleven tenths of a litre in millilitres?\n | 1100\n | ibivibiv/math_instruct | |
Let r be (9/(3/3))/(-1). Let j(a) = -14*a - 3. Let t be j(-2). Let l = r + t. Is 16 a factor of l?\n | True\n | ibivibiv/math_instruct | |
Expand (3*t**3 + 2*t**3 - 7*t**3)*(-24 - t + 9 + 3*t) - 4*t**4 + t**4 + 2*t**4.\n | -5*t**4 + 30*t**3\n | ibivibiv/math_instruct | |
If $x^{2017} - 2x + 1 = 0$ and $x \neq 1$, what is the value of $x^{2016} + x^{2015} + \dots + x + 1$? | We can rewrite the expression as a geometric series with common ratio $x$:
\[x^{2016} + x^{2015} + \dots + x + 1 = \frac{x^{2017} - 1}{x - 1}.\]
Since $x^{2017} - 2x + 1 = 0$, we have $x^{2017} - 1 = 2x - 2$, so
\[\frac{x^{2017} - 1}{x - 1} = \frac{2x - 2}{x - 1} = \boxed{2}.\]
The answer is: 2 | ibivibiv/math_instruct | |
Suppose 0*l - 11 = l + 2*b, 3*b = -5*l - 27. Suppose -3*w + 6 = -6. Let p(s) = 4*s + 4. Let c(d) = -5*d - 5. Let q(j) = w*p(j) + 3*c(j). What is q(l)?\n | -2\n | ibivibiv/math_instruct | |
Let x(a) = a**3 + 3*a**2 - 6*a + 8. Let z be x(2). Let t = z + -17. Let f = -69 - -342/5. Is f smaller than t?\n | False\n | ibivibiv/math_instruct | |
What is next in 57436, 229751, 516930, 918967, 1435856, 2067591, 2814166?\n | 3675575\n | ibivibiv/math_instruct | |
Solve 39317 + 273540 = 6034*c + 17191 for c.\n | 49\n | ibivibiv/math_instruct | |
Let r(l) = -12*l + 17*l - 16*l. Let s(h) be the second derivative of h**4/6 - 120*h. Determine s(r(t)).\n | 242*t**2\n | ibivibiv/math_instruct | |
Solve 192 - 248 = 8*c for c.\n | -7\n | ibivibiv/math_instruct | |
Expand (-s**3 - 2*s**3 + 4*s**3)*(-4*s**2 - 3*s**2 - 2*s**2).\n | -9*s**5\n | ibivibiv/math_instruct | |
What is -2 - (1 - (2 - -1 - 5))?\n | -5\n | ibivibiv/math_instruct | |
Let n = -367414 - -617414. Round n to the nearest 10000.\n | 250000\n | ibivibiv/math_instruct | |
Collect the terms in -37808*f - 15245*f - 8266*f.\n | -61319*f\n | ibivibiv/math_instruct | |
Is 1810379 a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose 4*i = -i + 2*u + 28, 3*i - u = 16. Find the third derivative of 4 - m**4 + 10*m**4 + 2*m**2 + 3*m**i + m**4 wrt m.\n | 312*m\n | ibivibiv/math_instruct | |
Solve 10851*c - 10847*c + 16 = -2*d, 4*c + d = -14 for c.\n | -3\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 l and 1 w when two letters picked without replacement from {r: 1, e: 4, w: 6, s: 4, i: 2, l: 2}.\n | 4/57\n | ibivibiv/math_instruct | |
What is 58336958 to the power of 1/3, to the nearest integer?\n | 388\n | ibivibiv/math_instruct | |
What is the smallest value in 0.2, 33/5, 0.001, -6?\n | -6\n | ibivibiv/math_instruct | |
What is the third root of 1011 to the nearest integer?\n | 10\n | ibivibiv/math_instruct |
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