instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Collect the terms in -53 + 157 + 20*g**2 + 2*g**2 - 17 - 35.\n | 22*g**2 + 52\n | ibivibiv/math_instruct | |
Let v(g) = 2*g**2 + g - 3. Let h be v(5). Let j be (-47)/h + 3/4. Let i be (-4)/(-3) + 40/(-120). Is i at least j?\n | True\n | ibivibiv/math_instruct | |
Sort 35, 0, 171, 15, -32.\n | -32, 0, 15, 35, 171\n | ibivibiv/math_instruct | |
What is 677 minutes before 5:12 AM?\n | 5:55 PM\n | ibivibiv/math_instruct | |
Factor 4*a**2/9 + 252448*a/3 + 757340/9.\n | 4*(a + 1)*(a + 189335)/9\n | ibivibiv/math_instruct | |
Let t = -150 + 180. Let o(h) = h + 2. Let p be o(-2). Solve 2*l = i - 0*l, 5*i + 5*l + t = p for i.\n | -4\n | ibivibiv/math_instruct | |
Solve 0 = -4*t - 4*m, 3*m + 0*m = 3 for t.\n | -1\n | ibivibiv/math_instruct | |
Solve -8/5 - 4/5*n + 4/5*n**2 = 0 for n.\n | -1, 2\n | ibivibiv/math_instruct | |
Solve -16 = -33428*s + 33424*s + 4*v, 2*s = -v - 1 for s.\n | 1\n | ibivibiv/math_instruct | |
Let u(q) = 3*q**2 - 276*q - 4002. Calculate u(-21).\n | 3117\n | ibivibiv/math_instruct | |
What comes next: 371752, 371496, 371070, 370474, 369708, 368772?\n | 367666\n | ibivibiv/math_instruct | |
What is the distance between -0.1023 and -0.08?\n | 0.0223\n | ibivibiv/math_instruct | |
Let x(q) = -q**2 + 16*q - 12. Let j be x(16). Let t = j - -13. Suppose -n = -t + 6, 0 = -5*p - 2*n + 320. What are the prime factors of p?\n | 2, 3, 11\n | ibivibiv/math_instruct | |
What is the remainder when 3550 is divided by (-154)/(-66)*6/14 - -10?\n | 8\n | ibivibiv/math_instruct | |
Factor x**2/2 + 109662*x + 219322.\n | (x + 2)*(x + 219322)/2\n | ibivibiv/math_instruct | |
Solve -385*t + 400*t - 87 - 513 = 0 for t.\n | 40\n | ibivibiv/math_instruct | |
Subtract -55 from 1271.45.\n | 1326.45\n | ibivibiv/math_instruct | |
Collect the terms in -2*t - 1 - 15*t + 1.\n | -17*t\n | ibivibiv/math_instruct | |
Let m(c) be the first derivative of 5 - 7/6*c**6 - 2/3*c**3 + 0*c**2 + 0*c**5 + 0*c + 0*c**4. What is the third derivative of m(p) wrt p?\n | -420*p**2\n | ibivibiv/math_instruct | |
In base 9, what is -5 - 582?\n | -587\n | ibivibiv/math_instruct | |
Let n be 2/5*(-51 - 4). Let m = 27 + n. Let i be 6/(-5)*5/(-2). Solve b = -m*r + 21, -i*r + 17 = -4*b - 14 for r.\n | 5\n | ibivibiv/math_instruct | |
What is 596 minutes after 7:43 PM?\n | 5:39 AM\n | ibivibiv/math_instruct | |
What is the difference between -12 and -65.820642449?\n | 53.820642449\n | ibivibiv/math_instruct | |
Suppose -1 = 4*v - 17. Suppose -4*o + v*m = -32, -3*o - m = 4*m + 16. Let q(d) = o*d**2 + 2*d**2 - 6*d + 3*d - 3*d**2. Determine q(2).\n | 2\n | ibivibiv/math_instruct | |
Which is the nearest to 5? (a) 1/61 (b) 0.158 (c) -2\n | b\n | ibivibiv/math_instruct | |
1c7 (base 13) to base 10\n | 332\n | ibivibiv/math_instruct | |
Differentiate -3*j*p*s - 715*j*p*u + j*p - 986*j*s - 6*s*u + 3 with respect to u.\n | -715*j*p - 6*s\n | ibivibiv/math_instruct | |
What is the common denominator of 145/216 and -25/24?\n | 216\n | ibivibiv/math_instruct | |
Let v(t) = t**3 - t**2 - 3*t. Let k be v(3). Let o = -6 + k. Solve 0 = -5*x + o*y + 15, -2*x + 3*y + 9 = x for x.\n | 3\n | ibivibiv/math_instruct | |
Which is the nearest to 1? (a) 1/3 (b) 1/7 (c) 1 (d) 2\n | c\n | ibivibiv/math_instruct | |
Let g(i) = 150056*i + 853. Is g(3) composite?\n | True\n | ibivibiv/math_instruct | |
Is 36 a factor of (464/145)/(2/135)?\n | True\n | ibivibiv/math_instruct | |
Simplify ((sqrt(72) + (sqrt(72)*-4)**2 + -3)*5 + 3)*-3.\n | -17244 - 90*sqrt(2)\n | ibivibiv/math_instruct | |
Let f(y) = y - 1. Let r be f(2). Suppose r = -5*g - 29. Let q be (-1)/(3/g) - 0. Solve 0 = -q*o + 1 - 3 for o.\n | -1\n | ibivibiv/math_instruct | |
Let g(o) = 5*o**2 - 21*o + 4. Let c be g(7). Round c to the nearest 10.\n | 100\n | ibivibiv/math_instruct | |
Does 29 divide 2378?\n | True\n | ibivibiv/math_instruct | |
What is 625 minutes after 4:45 AM?\n | 3:10 PM\n | ibivibiv/math_instruct | |
Is ((-18822)/4)/((-5)/((-100)/(-15))) a prime number?\n | False\n | ibivibiv/math_instruct | |
Is 64 a factor of 45647?\n | False\n | ibivibiv/math_instruct | |
What is the product of -966 and 23?\n | -22218\n | ibivibiv/math_instruct | |
Determine p, given that -3*p**5/4 - 789*p**4/4 - 24429*p**3/2 + 210693*p**2/2 + 2401245*p/4 - 18753525/4 = 0.\n | -135, -7, 7\n | ibivibiv/math_instruct | |
Is 56672843137 prime?\n | False\n | ibivibiv/math_instruct | |
Let j(g) = -7*g**2 + 1. Let h be (1/(-2))/(2/(-8)). Suppose -h = i - 3. Let a be i*3/(-3)*-1. Determine j(a).\n | -6\n | ibivibiv/math_instruct | |
Calculate ((-342)/33)/2 + 5 + 232/66.\n | 10/3\n | ibivibiv/math_instruct | |
Simplify w**(2/17)/(w/(w*w*w/(w/w**(-2)))*w)*(w**1)**(-6) assuming w is positive.\n | w**(-134/17)\n | ibivibiv/math_instruct | |
Find the third derivative of -1167*u**3*x + 8*u**2*x - 14*x wrt u.\n | -7002*x\n | ibivibiv/math_instruct | |
What is the square root of 1194834 to the nearest integer?\n | 1093\n | ibivibiv/math_instruct | |
Sort -46, 2/3, -0.088, -1 in descending order.\n | 2/3, -0.088, -1, -46\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 3930275 and 3144220.\n | 15721100\n | ibivibiv/math_instruct | |
(-5 - 2) + 13 + -31 + 5 + -76\n | -96\n | ibivibiv/math_instruct | |
((-7 - -19) + 861/(-63))/((-5)/93)\n | 31\n | ibivibiv/math_instruct | |
((8/140)/(17/(-510)))/((-26)/7)\n | 6/13\n | ibivibiv/math_instruct | |
Let x be 284/(-70) - (-6 + 2). Let i = -13/35 + x. Let a = 0.2 - 0.1. What is the closest to -2/25 in 1, a, i?\n | a\n | ibivibiv/math_instruct | |
Let v be 2/7 - 54/(-7). Suppose 4*c - v*c + 76 = 0. What are the prime factors of c?\n | 19\n | ibivibiv/math_instruct | |
Let s be (-103)/309*(-3 - 3)*1. Put 4, 270, s in decreasing order.\n | 270, 4, s\n | ibivibiv/math_instruct | |
Put 6257, 2/7, -516.9 in descending order.\n | 6257, 2/7, -516.9\n | ibivibiv/math_instruct | |
Simplify 6*(sqrt(192) + -1*(-2 + sqrt(192) + sqrt(192) - sqrt(192) - sqrt(192))) - (-2 + sqrt(192) + 4 + 0)**2.\n | -184 + 16*sqrt(3)\n | ibivibiv/math_instruct | |
Suppose 7*m + 2*o + 4 = 2*m, -4*m - 14 = -2*o. Which is smaller: 1 or m?\n | m\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 100404 and 2088.\n | 5823432\n | ibivibiv/math_instruct | |
What is the value of (8 - 5 - -13 - 8) + 16?\n | 24\n | ibivibiv/math_instruct | |
Suppose -5*m**5 + 10583930*m**4 - 7467975144290*m**3 + 1756460285935991900*m**2 - 1756437882063478625*m - 3512905635985198750 = 0. What is m?\n | -1, 2, 705595\n | ibivibiv/math_instruct | |
What is the square root of 8480762678 to the nearest integer?\n | 92091\n | ibivibiv/math_instruct | |
Let g(i) = -i + 6. Let t(a) = -5. Let p be 9/3 - (-2 - -2)/(-2). Let o(s) = -5*s + 47. Let h be o(9). Determine h*g(d) + p*t(d).\n | -2*d - 3\n | ibivibiv/math_instruct | |
Calculate (-1)/(-4)*25/10*216/(-405).\n | -1/3\n | ibivibiv/math_instruct | |
Does 2 divide (4/8)/(34/13124)?\n | False\n | ibivibiv/math_instruct | |
Is 38067328919 a prime number?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in y + 17*y**2 - y - 48*y**2 - 22*y**2.\n | -53*y**2\n | ibivibiv/math_instruct | |
Calculate -60 + 14842/246 + (-1 - 11/15).\n | -7/5\n | ibivibiv/math_instruct | |
Simplify 2*(0 + sqrt(153) + sqrt(153) + 1 + sqrt(153)) + -3.\n | -1 + 18*sqrt(17)\n | ibivibiv/math_instruct | |
What is (639/(-142))/(4/(336/18))?\n | -21\n | ibivibiv/math_instruct | |
List the prime factors of 126708.\n | 2, 3, 10559\n | ibivibiv/math_instruct | |
Let u = -69.1 + 69.2. What is the closest to -1 in 2/11, 0.2, u, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
Is 19123 a prime number?\n | False\n | ibivibiv/math_instruct | |
Express 21*r - 54 - 37*r + 14*r in the form g + n*r and give g.\n | -54\n | ibivibiv/math_instruct | |
Find the first derivative of -141480*g**2 - 1499454 wrt g.\n | -282960*g\n | ibivibiv/math_instruct | |
Calculate 129069166 divided by -5.\n | -129069166/5\n | ibivibiv/math_instruct | |
Suppose 6 = -4*b + 38. Let x(g) = -4*g + 53. Suppose -93 = -5*t + a, -3*t + a - 4*a = -45. What is the least common multiple of x(b) and t?\n | 126\n | ibivibiv/math_instruct | |
Let c = -53 - 71. Let z = -70 - c. What are the prime factors of z?\n | 2, 3\n | ibivibiv/math_instruct | |
What is prob of sequence gku when three letters picked without replacement from {g: 1, w: 1, o: 1, u: 1, v: 2, k: 1}?\n | 1/210\n | ibivibiv/math_instruct | |
Expand -2*q**3 + 0*q**3 + q**3 - 1 - q**3 + 1 - 4*q**3 + 0*q**3 + 2*q**3 + (1 + 1 - 1)*(-3*q**3 + 2*q**3 + 0*q**3) - 5*q**3 - 24*q + 24*q.\n | -10*q**3\n | ibivibiv/math_instruct | |
What comes next: 4, 12, 32, 64, 108, 164?\n | 232\n | ibivibiv/math_instruct | |
Express -90*d + 140*d**3 + 43*d - d**2 + 47*d in the form u + m*d**3 + q*d**2 + b*d and give q.\n | -1\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Intervals
Students can use intervals in answers, and the system will understand them as their equivalent inequality to compare it with the correct answer. Take into account the particular notation explained below to create... | Intervals are a way to describe sets of real numbers that fall between two given values. They have many applications in mathematics, particularly in calculus, where they can be used to express domains of functions or ranges of solutions to equations. In this educational piece, we'll explore how to represent intervals ... | ibivibiv/math_instruct | |
Simplify (w/(w/(w/((w**0*w)/w))))**(-5)/((w**(1/6)*w)/w*(w**(-5/3)/w*w)/w) assuming w is positive.\n | w**(-5/2)\n | ibivibiv/math_instruct | |
Expand (0*q + 2*q - 4*q)*(6 - 1 - 4)*(0*q + 7*q + 0*q) - 3*q + 3*q - q**2 + (3 - 3 + 2*q)*(-4*q + 2*q + q) + 0*q**2 + 3*q**2 - 2*q**2.\n | -16*q**2\n | ibivibiv/math_instruct | |
Factor -2*p**2/9 - 5378*p/9 + 992240/3.\n | -2*(p - 471)*(p + 3160)/9\n | ibivibiv/math_instruct | |
Is 600515232 a multiple of 84?\n | False\n | ibivibiv/math_instruct | |
Suppose 3*d - 35 + 32 = -t, 0 = -2*d + 2*t - 6. Solve d = 5*b + 5 - 0 for b.\n | -1\n | ibivibiv/math_instruct | |
Simplify (i**(-1)/i**(-2/19)*(i**1)**(-11/4))**(-31) assuming i is positive.\n | i**(8587/76)\n | ibivibiv/math_instruct | |
Solve 78 = 4*q + z + 70, -8 = 2*z for q.\n | 3\n | ibivibiv/math_instruct | |
Evaluate 60/15*(-2)/4.\n | -2\n | ibivibiv/math_instruct | |
Let j be (6 + -9)/3 - -8. Solve -28*i - 126 = -j*i for i.\n | -6\n | ibivibiv/math_instruct | |
Let b = -11 + 11. Suppose b = j + 2*j. Factor u**4 - 1/3*u**5 + j*u + 0 + 1/3*u**2 - u**3.\n | -u**2*(u - 1)**3/3\n | ibivibiv/math_instruct | |
What is the derivative of -10*f**2*o*y + 2*f**2*o - 7*f*y + 2*o*y + 3*o - 454*y wrt f?\n | -20*f*o*y + 4*f*o - 7*y\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 242840843?\n | 8\n | ibivibiv/math_instruct | |
Evaluate 26 - (0 - (-4 + -12 - -2)).\n | 12\n | ibivibiv/math_instruct | |
What is the closest to -1 in 1/6, -1141, -21, -0.2?\n | -0.2\n | ibivibiv/math_instruct | |
Let s = -5 - -3. Let v(y) = 2*y**2 - 3*y - 1. Suppose 2*w = 18 + 32. What is the remainder when w is divided by v(s)?\n | 12\n | ibivibiv/math_instruct | |
Let g = 13 - 14. Let w be (3 - g) + 6 + -8 + 3. Let c be 4/26 - (-12)/(-78). Solve c = w*l + 5 for l.\n | -1\n | ibivibiv/math_instruct | |
Let d(p) = p - 2. Let z(a) = -3*a + 5. Let w(t) = -t**3 - 9*t**2 - 7*t - 3. Let j = 24 + -32. Let m be w(j). Give m*d(s) - 4*z(s).\n | s + 2\n | ibivibiv/math_instruct |
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