instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Let c = 1 + -6. Let m(g) = g**2 + 4*g - 2. Let w be m(c). Suppose w*a - 10 = 4*d, -2 = a - d + 5*d. What is the smallest common multiple of 12 and a?\n | 12\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 4 and 10?\n | 20\n | ibivibiv/math_instruct | |
Find the second derivative of -85934*h**4 - 4*h**2 + 452423*h.\n | -1031208*h**2 - 8\n | ibivibiv/math_instruct | |
What is 1254876 times 26?\n | 32626776\n | ibivibiv/math_instruct | |
What comes next: -41, 15, 109, 241, 411?\n | 619\n | ibivibiv/math_instruct | |
Suppose 0 = -6*m + 1796314 + 5763686. What is m rounded to the nearest one hundred thousand?\n | 1300000\n | ibivibiv/math_instruct | |
-217.7*-784822\n | 170855749.4\n | ibivibiv/math_instruct | |
Let u = 241 - 241. Suppose z - 7 = -0*z - t, u = -2*z - t + 14. Which is the nearest to 1/2? (a) z (b) 3/4 (c) 0.02\n | b\n | ibivibiv/math_instruct | |
What is the square root of 498497 to the nearest integer?\n | 706\n | ibivibiv/math_instruct | |
Rearrange (10 - 13 - 12)*(-4*p - 3*p + 6*p)*(-1 + 0 + 2 + 3 - 1 - 4 + (1 - 1 + 2)*(2 + 0 - 1)) to the form s + l*p and give l.\n | 15\n | ibivibiv/math_instruct | |
What is 222012112211001 (base 3) in base 12?\n | 47b750a\n | ibivibiv/math_instruct | |
Solve 2*m + 23 - 17 = 0 for m.\n | -3\n | ibivibiv/math_instruct | |
What is 113971148 less than -129946?\n | -114101094\n | ibivibiv/math_instruct | |
3*(-6 + 200/33)\n | 2/11\n | ibivibiv/math_instruct | |
Let u(q) be the second derivative of -7*q**3/6 - q**2 + 2*q - 1. Let h(o) = 4*o**2 - 14*o. Let k(v) = v**2 - 3*v. Let d(s) = 3*h(s) - 14*k(s). What is d(u(g))?\n | -98*g**2 - 56*g - 8\n | ibivibiv/math_instruct | |
In a shop certain saree was marked down 10% the first week and another 10% the next week. What percent of the regular price was the final cost of the saree after the two markdowns?
Answer Choices: (A) 30% (B) 36% (C) 40% (D) 60% (E) 81% | If the price of the saree is 100, and it is marked down by 10% twice or charged 90% of the price first and 90% of the price of reduced price, the final price is :-
100*90*90/10000= 81
81% is the final price of old price.
E is the answer | ibivibiv/math_instruct | |
Is 13 a factor of 1079?\n | True\n | ibivibiv/math_instruct | |
Suppose n - 9 = -r, -3*r + 0*n - 5 = -5*n. Suppose 0 - r = u. Let z = 7 + u. What is the remainder when z is divided by 2?\n | 0\n | ibivibiv/math_instruct | |
What is the highest common factor of 64 and 356?\n | 4\n | ibivibiv/math_instruct | |
What is the nearest to -66487 in -4, -9, -1/6?\n | -9\n | ibivibiv/math_instruct | |
-29.95*0\n | 0\n | ibivibiv/math_instruct | |
Round 1.2105935042 to three decimal places.\n | 1.211\n | ibivibiv/math_instruct | |
Let v = -2.9 - -0.9. Suppose 3*y - 4*a + 0 = 11, -4*y + a = -6. What is the nearest to y in -0.3, -1/2, v?\n | -0.3\n | ibivibiv/math_instruct | |
Let g = -444 + 443.9. Let m = 5.11 + -0.11. Let c = -4 + m. Sort c, g, 5 in decreasing order.\n | 5, c, g\n | ibivibiv/math_instruct | |
In base 6, what is 543243 + 53025?\n | 1040312\n | ibivibiv/math_instruct | |
What is the cube root of 4556 to the nearest integer?\n | 17\n | ibivibiv/math_instruct | |
Suppose 10*q + 6*q = -8*q + 24. Is 3/1606 bigger than q?\n | False\n | ibivibiv/math_instruct | |
What is 35846.81nm in meters?\n | 0.00003584681\n | ibivibiv/math_instruct | |
Suppose 4*w + 21 = -5*j, 4*w - 3*j + 9 + 4 = 0. Which is the second biggest value? (a) 0.13 (b) -2 (c) w (d) -1\n | d\n | ibivibiv/math_instruct | |
Solve 76 = 5*l + 56, -3*f + 5*l - 29 = 0 for f.\n | -3\n | ibivibiv/math_instruct | |
Let i = 1.31 + -0.31. Let g = -0.1 + 0.1. Let q = g + i. Which is the biggest value? (a) -1/4 (b) q (c) -2/3\n | b\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Sequence of Compact Spaces
sammycaps
I was just googling around and I came across this problem.
Let (X,d) be a metric space.
Let (An)n $\in$ N be a sequence of closed subsets of X with the property An $\supseteq$ An+1 fo... | Metric spaces are fundamental structures in mathematical analysis, and the concept of sequences of compact spaces plays a crucial role in understanding their behavior. A metric space (X, d) consists of a set X along with a distance function d : X x X → ℝ satisfying certain properties. Subsets of X may also inherit the... | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 17929385 and 20781.\n | 2309\n | ibivibiv/math_instruct | |
What is 54 minutes after 8:59 PM?\n | 9:53 PM\n | ibivibiv/math_instruct | |
Simplify sqrt(288)/sqrt(6)*-1.\n | -4*sqrt(3)\n | ibivibiv/math_instruct | |
b"What is the hth term of 277, 521, 761, 997?\n" | -2*h**2 + 250*h + 29\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 15 and 390.\n | 15\n | ibivibiv/math_instruct | |
0 divided by 45802924\n | 0\n | ibivibiv/math_instruct | |
Let k = 970/7 - 2917/21. Let p = 3 + -4. Let d = -0.9 - p. What is the second biggest value in d, 5, k?\n | d\n | ibivibiv/math_instruct | |
Let a(s) = -s - 6. Let l be a(-6). Solve l = -3*d + d for d.\n | 0\n | ibivibiv/math_instruct | |
Suppose -5*g + 65 = 3*u, 3*g + 1 = -5*u + 40. Let b = g - 10. Solve b = -s - 2 for s.\n | -5\n | ibivibiv/math_instruct | |
Suppose -11*u = -7*u + 32. Let x be u/18 - 54/243. Let v = -0.11 - -1.11. What is the closest to v in -0.1, -6, x?\n | -0.1\n | ibivibiv/math_instruct | |
What is the distance between -313119 and 0.036?\n | 313119.036\n | ibivibiv/math_instruct | |
Solve 91*t = -404 - 324 for t.\n | -8\n | ibivibiv/math_instruct | |
In base 9, what is 701144 - -3?\n | 701147\n | ibivibiv/math_instruct | |
Suppose 2*z = -2*y + 39 + 21, 4 = y. Suppose z*w + 20 = 27*w. What is the tens digit of w?\n | 2\n | ibivibiv/math_instruct | |
Round 0.0511483 to three decimal places.\n | 0.051\n | ibivibiv/math_instruct | |
Suppose -3*z + 10 = c - 0*z, 3*c + 3*z = 0. Let v be (-6)/(-15)*c/7. Suppose 4*y + 18 - 14 = 0. Is y bigger than v?\n | False\n | ibivibiv/math_instruct | |
Solve -2538*l - 31271 = 4261 for l.\n | -14\n | ibivibiv/math_instruct | |
Let t = -11 + 8. Let m(j) = -6*j**3 + 2*j**2 - 1. Let y be m(t). Suppose -q = 3*x - x - y, 0 = -2*x + 3*q + 191. Is 13 a factor of x?\n | True\n | ibivibiv/math_instruct | |
What is 85 divided by -145143?\n | -85/145143\n | ibivibiv/math_instruct | |
In base 16, what is 1 + -23f0f5f?\n | -23f0f5e\n | ibivibiv/math_instruct | |
Let x(d) = -d**3 - 12*d**2 - 29*d - 16. Let a be x(-9). What is the smallest common multiple of (a + (-70)/20)/((-1)/18) and 0 - 1*(2 - 4)?\n | 54\n | ibivibiv/math_instruct | |
Let u(b) be the second derivative of -4*b**2 + 5*b - 2/3*b**3 + 0. Let o be u(-6). Calculate the greatest common factor of 4 and o.\n | 4\n | ibivibiv/math_instruct | |
Let r = -167/2 - -85. Which is the nearest to 0.2? (a) 0 (b) 0.3 (c) r\n | b\n | ibivibiv/math_instruct | |
Solve -52*o = -220*o + 672 for o.\n | 4\n | ibivibiv/math_instruct | |
5 * 1868\n | 9340\n | ibivibiv/math_instruct | |
Expand (0 - 3 + 1)*(0*q**3 - 2*q**3 + q**3) + (-q + q + 2*q)*(5*q**2 - q**2 + 0*q**2).\n | 10*q**3\n | ibivibiv/math_instruct | |
Let h(a) be the third derivative of 7*a**6/120 - a**4/8 - 2*a**2. What is the second derivative of h(c) wrt c?\n | 42*c\n | ibivibiv/math_instruct | |
Collect the terms in -1378 + 444 - 2*f**2 + 485 + 449.\n | -2*f**2\n | ibivibiv/math_instruct | |
Collect the terms in 46*h**2 + 48*h**2 - 6*h**2 + 10*h**2.\n | 98*h**2\n | ibivibiv/math_instruct | |
Solve -3*h + 0*h - 20 = h + 4*v, 0 = -5*h + v - 13 for h.\n | -3\n | ibivibiv/math_instruct | |
What is the fifth root of 9 to the nearest integer?\n | 2\n | ibivibiv/math_instruct | |
What is 19 minutes after 12:49 PM?\n | 1:08 PM\n | ibivibiv/math_instruct | |
Let d(l) = 3*l**2 - 7*l - 32. Let f(p) = 6*p**2 - 14*p - 51. Let i(q) = -5*d(q) + 3*f(q). Calculate i(4).\n | 27\n | ibivibiv/math_instruct | |
Solve 2*b + 5*b - 4160 = 13*b - 71*b for b.\n | 64\n | ibivibiv/math_instruct | |
Let r = 350 + -355. Let o(v) = 2*v**3 + 8*v**2 - 16*v - 26. Let y be o(r). Solve 0 = s - y*j - 12, 3*s - j - 2 + 10 = 0 for s.\n | -4\n | ibivibiv/math_instruct | |
Let w = 0 + 7. Suppose 4*r = 3*r + w. Suppose 2*y = r*y - 115. What is the remainder when 44 is divided by y?\n | 21\n | ibivibiv/math_instruct | |
Suppose -3*g - 70 = -5*o, -4*o - 5*g + 9 = -47. Solve 119 = 19*k - o for k.\n | 7\n | ibivibiv/math_instruct | |
What is 19 minutes after 9:58 AM?\n | 10:17 AM\n | ibivibiv/math_instruct | |
What is c in 3*c**4 + 450*c**3 - 31743*c**2 - 924774*c - 892584 = 0?\n | -196, -22, -1, 69\n | ibivibiv/math_instruct | |
Let w = -6 - -21. Let g = 21 - w. Let m(s) = 9*s**2 - 13*s + 13. Let l(r) = 4*r**2 - 4*r + 0 + 6 - 2*r. What is g*m(n) - 13*l(n)?\n | 2*n**2\n | ibivibiv/math_instruct | |
Let u = -4 - -2. Let h = 2 + -1. Sort -0.3, u, h in decreasing order.\n | h, -0.3, u\n | ibivibiv/math_instruct | |
Find m, given that -2*m**3/11 - 634*m**2/11 - 23392*m/11 + 1914136/11 = 0.\n | -257, -98, 38\n | ibivibiv/math_instruct | |
What is prob of sequence djjf when four letters picked without replacement from jdgijfgjdugguf?\n | 1/1001\n | ibivibiv/math_instruct | |
Let g(m) = -m**3 - 3*m**2 - 2*m + 3. Suppose -3*v - 2*o = -0*o - 1, 4*v = -3*o + 3. Let c be g(v). Suppose -k + c = 2*k. List the prime factors of k.\n | 3\n | ibivibiv/math_instruct | |
Let j(o) = 159*o + 21. Let y = 360 + -356. What is the units digit of j(y)?\n | 7\n | ibivibiv/math_instruct | |
What is -5 + (7 - (1 + -1 - -3)) - 9?\n | -10\n | ibivibiv/math_instruct | |
Collect the terms in -3393*k**3 + 18*k - 18*k + 3662*k**3.\n | 269*k**3\n | ibivibiv/math_instruct | |
Solve -y + z = 4*z - 11, -4*z = -2*y + 2 for y.\n | 5\n | ibivibiv/math_instruct | |
Collect the terms in -21*y + 2 + 2 + 4 + 24*y.\n | 3*y + 8\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 i when two letters picked without replacement from {o: 1, u: 4, i: 7, b: 2}.\n | 3/13\n | ibivibiv/math_instruct | |
Find the third derivative of -111966591*a**3 - 40217*a**2 + 2*a + 262 wrt a.\n | -671799546\n | ibivibiv/math_instruct | |
If $n$ is $1$ less than a multiple of $50$, what is the remainder when $n^2 + 2n + 3$ is divided by $50$? | Let $n = 50k - 1$ for some integer $k$.
Then $n^2 + 2n + 3 = (50k - 1)^2 + 2(50k - 1) + 3$.
Expanding, we get $(2500k^2 - 100k + 1) + (100k - 2) + 3$.
Combining like terms, we get $2500k^2 + 2$.
Taking this modulo $50$, we get $2500k^2 + 2 \equiv 0k^2 + 2 \equiv \boxed{2} \pmod{50}$.
The answer is: 2 | ibivibiv/math_instruct | |
Let v(o) = 5*o - 7. Let k be v(7). Suppose -9*m = -5*m - k. Let d = 21 - m. Calculate the highest common factor of 2 and d.\n | 2\n | ibivibiv/math_instruct | |
Suppose -13*u = 26*u - 5026359. Is u a prime number?\n | False\n | ibivibiv/math_instruct | |
What is 91 minutes before 3:02 PM?\n | 1:31 PM\n | ibivibiv/math_instruct | |
Put -610, -5, 2 in ascending order.\n | -610, -5, 2\n | ibivibiv/math_instruct | |
Determine w, given that -36*w**4 + 1102312*w**3 - 4163564*w**2 - 6490552*w - 1224640 = 0.\n | -1, -2/9, 5, 30616\n | ibivibiv/math_instruct | |
(-30)/(-125)*((-13)/(-3))/((-18)/(-1080)*12)\n | 26/5\n | ibivibiv/math_instruct | |
Let a = 14730 - 14733. Suppose 1 = -2*i - 3. Let s(d) = d**3 + 3*d**2 + 2*d + 3. Let k be s(i). Sort k, 1, a.\n | a, 1, k\n | ibivibiv/math_instruct | |
How many millilitres are there in 57/5 of a litre?\n | 11400\n | ibivibiv/math_instruct | |
Let h(j) be the first derivative of 0*j - 1/2*j**2 - 12. Let k(s) = -12*s. What is h(k(v))?\n | 12*v\n | ibivibiv/math_instruct | |
What is the second derivative of -17*i**3*z**2 + i**3 - 7*i*z + z**5 wrt z?\n | -34*i**3 + 20*z**3\n | ibivibiv/math_instruct | |
Let h(t) = -t**4 + t**3 - t**2 + t. Let i(r) = 4*r**4 - 2*r**2 - 2*r. Suppose 0 = -v, 3*v - 6 = 5*j + 19. Let k(s) = j*h(s) - i(s). Factor k(d).\n | d*(d - 3)*(d - 1)**2\n | ibivibiv/math_instruct | |
What is -64 times -6.75122?\n | 432.07808\n | ibivibiv/math_instruct | |
Calculate the common denominator of -13/1472690 and 99/2.\n | 1472690\n | ibivibiv/math_instruct | |
Collect the terms in -173*v**2 + 15*v**2 + 981550*v - 2 - 981552*v.\n | -158*v**2 - 2*v - 2\n | ibivibiv/math_instruct | |
(-77)/(-2) - ((-120)/320 - (-2)/(-16))\n | 39\n | ibivibiv/math_instruct | |
Rearrange 2 + 1899*n - 1884*n - 6 to the form h + p*n and give p.\n | 15\n | ibivibiv/math_instruct |
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