instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
17 + -7 - 1 - 55/6\n | -1/6\n | ibivibiv/math_instruct | |
What is next in -3963, -7896, -11831, -15768, -19707?\n | -23648\n | ibivibiv/math_instruct | |
What are the prime factors of (-22)/(((-8)/852)/(0 - 16/(-12)))?\n | 2, 11, 71\n | ibivibiv/math_instruct | |
Let x = -11647 + 18253. What is the thousands digit of x?\n | 6\n | ibivibiv/math_instruct | |
What is the greatest common factor of 36922894 and 2764?\n | 1382\n | ibivibiv/math_instruct | |
Simplify ((((k*k**2)/k)/k)/k**(-4/7)*(k/k**(2/5))**39)/((k**(-1/4)*k)**(-3/2))**(-5/7) assuming k is positive.\n | k**(6767/280)\n | ibivibiv/math_instruct | |
What is prob of sequence fggf when four letters picked without replacement from {g: 4, f: 4, i: 2}?\n | 1/35\n | ibivibiv/math_instruct | |
Put -1136451, 55, -3 in descending order.\n | 55, -3, -1136451\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 9292113 and 99.\n | 9\n | ibivibiv/math_instruct | |
What comes next: 70850, 566994, 1913666, 4536128, 8859642, 15309470, 24310874, 36289116?\n | 51669458\n | ibivibiv/math_instruct | |
What is the biggest value in -5, -11, 0.8?\n | 0.8\n | ibivibiv/math_instruct | |
Let n = -0.6 + 0.4. Let y = -6 + 6.2. Let g = y - -0.8. What is the third biggest value in n, g, 5?\n | n\n | ibivibiv/math_instruct | |
Let s(z) = -3*z**2 - 8*z - 1. Let n be s(-5). Let q(w) = -1. Let g(p) = 3*p + 9. Let h(v) = n*q(v) - 4*g(v). Let m(o) = -o + 3*o - 2 + 2. Give h(m(t)).\n | -24*t\n | ibivibiv/math_instruct | |
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"GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 18 Jun 2019, 08:15
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and sugges... | Consecutive integers are any set of numbers that follow each other in order, without gaps or skips between them. For example, the set {3, 4, 5} is a sequence of three consecutive integers. When dealing with a sequence of consecutive integers of increasing value, it's important to recognize that there could be an infin... | ibivibiv/math_instruct | |
Let k(f) = 3*f**3 + 12*f**2 + 14*f. Let d(v) = 39*v**3 + 156*v**2 + 183*v. Let g(q) = -2*d(q) + 27*k(q). Suppose g(n) = 0. What is n?\n | -2, 0\n | ibivibiv/math_instruct | |
What is the square root of 569461 to the nearest integer?\n | 755\n | ibivibiv/math_instruct | |
What are the prime factors of 5339204?\n | 2, 13, 102677\n | ibivibiv/math_instruct | |
What is the product of -0.19 and -272003.51?\n | 51680.6669\n | ibivibiv/math_instruct | |
Convert 6102 (base 8) to base 11.\n | 23a3\n | ibivibiv/math_instruct | |
Let p(i) = -10*i + 10. Let c(x) be the second derivative of -x**2/2 - 3033*x. Calculate 10*c(w) + p(w).\n | -10*w\n | ibivibiv/math_instruct | |
Let h = -99 + 120. Let c = 20.99999992 - h. Round c to 7 dps.\n | -0.0000001\n | ibivibiv/math_instruct | |
Let m(c) be the second derivative of 0*c**3 + 0 - 1/720*c**6 + 0*c**2 - 1/12*c**4 + 3*c - 1/30*c**5. Let g(u) be the third derivative of m(u). Give g(5).\n | -9\n | ibivibiv/math_instruct | |
Let v = 18.58 - 18.58017722. What is v rounded to five dps?\n | -0.00018\n | ibivibiv/math_instruct | |
Let k(v) be the first derivative of -314*v**4 + 19*v - 53. What is the first derivative of k(m) wrt m?\n | -3768*m**2\n | ibivibiv/math_instruct | |
Let p be (-3)/(-2)*11/((-66)/(-1268)). Suppose k = u + 62, 5*k + u = -u + p. Suppose -6*w - k = -7*w. Is 13 a factor of w?\n | False\n | ibivibiv/math_instruct | |
What is (-16)/72 + (120/1620)/(2/654)?\n | 24\n | ibivibiv/math_instruct | |
Suppose -17*v = -13*v - 48. What is the greatest common divisor of 444 and v?\n | 12\n | ibivibiv/math_instruct | |
Is 250951031 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let y = -3 - -2.5. Let w = -3.5 - y. Let q = -0.74 - -0.24. Which is the third smallest value? (a) w (b) q (c) -2\n | b\n | ibivibiv/math_instruct | |
Suppose -4*j = -5*d - 1455, -3*j = -4*j. Find the common denominator of -1/10 and (-9)/12 - d/108.\n | 90\n | ibivibiv/math_instruct | |
Let k(h) be the second derivative of 3*h**3/2 - 83*h**2/2 - 4*h. What is the remainder when k(12) is divided by 8?\n | 1\n | ibivibiv/math_instruct | |
Suppose 4*i - 2*w = 986, -2*i - 505 = -4*i - 3*w. Let t = 422 - i. What is the hundreds digit of t?\n | 1\n | ibivibiv/math_instruct | |
Let x be ((-5)/2)/(2/(-4)). Let a be x - 2 - (-2)/2. Suppose -3*n = -o + 2, -n + a*o = 2*n - 1. Which is bigger: 1 or n?\n | 1\n | ibivibiv/math_instruct | |
Let i = -4284 - -4319. Solve -11*n + 4*n - i = 0 for n.\n | -5\n | ibivibiv/math_instruct | |
Is 14357437 a composite number?\n | False\n | ibivibiv/math_instruct | |
Express -1 - 10*p**3 + 184*p**4 + 51*p**3 + 2*p**2 - 41*p**3 in the form j*p**2 + h*p**4 + t*p + k*p**3 + m and give m.\n | -1\n | ibivibiv/math_instruct | |
What is 1530085533 to the power of 1/3, to the nearest integer?\n | 1152\n | ibivibiv/math_instruct | |
Suppose -2*f = -0*f + 2*c + 2, 2*c = -10. Let k be 11/f - (-4)/16. Suppose -3*h + 0*h + 2 = 5*m, 10 = k*h + m. What is the units digit of h?\n | 4\n | ibivibiv/math_instruct | |
Let c(t) = 2*t - 2. Let x(p) = p - 1. Let h be 14/((2 - 3) + 3). Suppose h*j = 2*j - 25. Let a(u) = 2*u + 6. Let d be a(j). Determine d*x(y) + c(y).\n | -2*y + 2\n | ibivibiv/math_instruct | |
How many nanograms are there in 3/5 of a microgram?\n | 600\n | ibivibiv/math_instruct | |
Multiply -2797782.01 and 0.1.\n | -279778.201\n | ibivibiv/math_instruct | |
Let l = -10 + 19. Calculate the highest common divisor of 99 and l.\n | 9\n | ibivibiv/math_instruct | |
Let j = -396 - -383. Let n(h) = 2*h**2 + 2*h - 13. Let m(o) = 5 + o**2 - o - 2*o**2 + 1. Let q(x) = j*m(x) - 6*n(x). Solve q(i) = 0 for i.\n | -1, 0\n | ibivibiv/math_instruct | |
Let m = 11 - 6. Solve m*o = 36 - 11 for o.\n | 5\n | ibivibiv/math_instruct | |
Let z = 465 + -451. Suppose -48874 = -2*q + 4*n, -18*q + z*q - n = -97748. Is q composite?\n | True\n | ibivibiv/math_instruct | |
Express (214*h - 41*h + 0*h)*(h + 9 - 9) + h**2 - 3*h + 3*h as x*h**2 + j*h + r and give x.\n | 174\n | ibivibiv/math_instruct | |
Suppose 4*k - 20 = 4*m, 0 = k + 3*k - 20. Let d(c) be the third derivative of 1/8*c**4 + 0 + 2*c**2 - 2/3*c**3 + m*c. Differentiate d(s) wrt s.\n | 3\n | ibivibiv/math_instruct | |
Suppose 4*j = 9*j + 10, 3*j = 5*w - 41. Let f be 20/2 + 2/(-1). Which is smaller: f or w?\n | w\n | ibivibiv/math_instruct | |
What is 7.458034t in micrograms?\n | 7458034000000\n | ibivibiv/math_instruct | |
Suppose -5*c + 581 = -5*t + 11, 4*c + 4*t - 480 = 0. Suppose 0 = 5*v + c - 407. Is v a multiple of 16?\n | False\n | ibivibiv/math_instruct | |
Let i(m) be the second derivative of 0*m**2 + 0 + 7/2*m**3 - 12*m. Let x(d) = -d. What is x(i(l))?\n | -21*l\n | ibivibiv/math_instruct | |
Let u(s) = 7*s + 38. Determine u(-7).\n | -11\n | ibivibiv/math_instruct | |
Sort 2, -5, 1, 0, -134 in decreasing order.\n | 2, 1, 0, -5, -134\n | ibivibiv/math_instruct | |
Calculate -15 divided by -4593.\n | 5/1531\n | ibivibiv/math_instruct | |
What is -14d4a (base 15) in base 14?\n | -1a664\n | ibivibiv/math_instruct | |
Let v = -0.02 - -102.02. Let d = 23493175 - 23493073.000414. Let q = d - v. What is q rounded to 5 dps?\n | -0.00041\n | ibivibiv/math_instruct | |
Which is bigger: 5 or -281778611?\n | 5\n | ibivibiv/math_instruct | |
Evaluate 95/5*(-35)/(-665).\n | 1\n | ibivibiv/math_instruct | |
Let j(l) = 8*l**2 - 1. Let c be j(-1). Suppose -2*m + 41 = -605*u + 600*u, -3*u - 93 = -5*m. Solve c = 5*s - m for s.\n | 5\n | ibivibiv/math_instruct | |
Let f(w) be the first derivative of -w**4 - 4*w**3/3 + 2*w**2 + 4*w - 8. Factor f(b).\n | -4*(b - 1)*(b + 1)**2\n | ibivibiv/math_instruct | |
Simplify 3 + (-3*sqrt(5))**2 + -3.\n | 45\n | ibivibiv/math_instruct | |
Solve -114 = 9*q - 10 - 86 for q.\n | -2\n | ibivibiv/math_instruct | |
Let s = -31 + 3. Let j = 63 + s. Suppose -4*b + 85 + j = 2*h, -5*h + 282 = b. Is h a multiple of 15?\n | False\n | ibivibiv/math_instruct | |
3 (base 5) to base 7\n | 3\n | ibivibiv/math_instruct | |
Simplify (((o*o/(o**0/o*o))/o)**(32/7)/(o**6/o*o/(o/o**3*o)))/((o/(o/(o*o**(2/5)*o*o))*o**1/o*o)/((o/(o**(-1/4)*o))/o)**(-30)) assuming o is positive.\n | o**(1097/70)\n | ibivibiv/math_instruct | |
Is 7 a factor of (-30143)/3*(15/15 - 4)?\n | False\n | ibivibiv/math_instruct | |
Which is the nearest to -0.7? (a) 1 (b) 2/13 (c) 21\n | b\n | ibivibiv/math_instruct | |
Suppose -5*u - 2*x - 3*x = -140, 53 = 2*u + x. Solve -4*n + 5 = u for n.\n | -5\n | ibivibiv/math_instruct | |
Let d = -231 - -252. Calculate the remainder when 412 is divided by d.\n | 13\n | ibivibiv/math_instruct | |
Suppose -322 = -5*q - 1582. Let h = -74 - q. Is h a prime number?\n | False\n | ibivibiv/math_instruct | |
Let j(p) = p**2 + 10*p - 27. What is the smallest common multiple of j(9) and 9?\n | 144\n | ibivibiv/math_instruct | |
Calculate (2/(-5))/(1/(-10)) + -2.\n | 2\n | ibivibiv/math_instruct | |
Simplify (s*(s*s*s**(2/27))/s*s**12*s)/(s**(-5)/s*s*s**13) assuming s is positive.\n | s**(191/27)\n | ibivibiv/math_instruct | |
Put together -2602.328 and 109.529.\n | -2492.799\n | ibivibiv/math_instruct | |
Let f(d) = 2*d**3 - 52*d**2 + 4*d - 101. Let l be f(26). Solve 59 = -l*t + 71 for t.\n | 4\n | ibivibiv/math_instruct | |
What is 9 + (-24 - (-18 + -12))?\n | 15\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 1021354944 and 2784.\n | 2784\n | ibivibiv/math_instruct | |
Let l(p) = -4*p - 6. Let x be l(-2). Suppose 3*b - f = -54, 90 = -5*b + x*f + 3*f. Let h be b/(-15)*(-20)/(-3). Solve -h = -5*o - 3 for o.\n | 1\n | ibivibiv/math_instruct | |
What is the value of (2/4)/((-5)/40*1)?\n | -4\n | ibivibiv/math_instruct | |
Is 2080 >= 2406?\n | False\n | ibivibiv/math_instruct | |
Is 1 < 3/10?\n | False\n | ibivibiv/math_instruct | |
Simplify (t**(-12)/t)/t**(3/7)*((t**(-1/6)*t)/t)**(4/11) assuming t is positive.\n | t**(-3116/231)\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 10307 and 937.\n | 10307\n | ibivibiv/math_instruct | |
What is 9.253029 meters in millimeters?\n | 9253.029\n | ibivibiv/math_instruct | |
Is 5053374 less than 5053397?\n | True\n | ibivibiv/math_instruct | |
What is 0.00246647 rounded to 4 decimal places?\n | 0.0025\n | ibivibiv/math_instruct | |
Expand (-z + 3*z + 13 + 13)*(0*z**4 - 3*z**4 + 4*z**4).\n | 2*z**5 + 26*z**4\n | ibivibiv/math_instruct | |
Solve -43*r + 75 = 12*r - 200 for r.\n | 5\n | ibivibiv/math_instruct | |
Is 11397119359 composite?\n | False\n | ibivibiv/math_instruct | |
What is the hundreds digit of 92036132?\n | 1\n | ibivibiv/math_instruct | |
List the prime factors of 2456548913.\n | 7, 13, 26995043\n | ibivibiv/math_instruct | |
16866787 divided by 1\n | 16866787\n | ibivibiv/math_instruct | |
What is the next term in -7698, -7678, -7668, -7674, -7702, -7758, -7848?\n | -7978\n | ibivibiv/math_instruct | |
What is the hundreds digit of 879?\n | 8\n | ibivibiv/math_instruct | |
Let z be 2/(2*-1) - 63. Let x = z - -44. Let u = -13 - x. What is the units digit of u?\n | 7\n | ibivibiv/math_instruct | |
Let b be (-3 - (-10)/6)*(146 - 158). Calculate the greatest common factor of 476 and b.\n | 4\n | ibivibiv/math_instruct | |
Which is smaller: -116/28633687 or 0?\n | -116/28633687\n | ibivibiv/math_instruct | |
Let l be 6/(-14 + 18 + (-285)/72). What is the highest common divisor of 160 and l?\n | 16\n | ibivibiv/math_instruct | |
Collect the terms in -160*o + 62*o + 45*o + 33*o**2 + 54*o.\n | 33*o**2 + o\n | ibivibiv/math_instruct | |
Suppose 0 = 13*u - 9*u + 108. Let l = 27 + u. Solve -2 = 2*j - l for j.\n | -1\n | ibivibiv/math_instruct |
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