instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 670 minutes after 7:23 PM?\n | 6:33 AM\n | ibivibiv/math_instruct | |
Let k be 2 + (-6)/(-3 + 0). Let q = 1 + k. Solve q*i - r = 20, 8*r + 12 = 3*i + 3*r for i.\n | 4\n | ibivibiv/math_instruct | |
Find the second derivative of 788506*v**3 + v - 83981.\n | 4731036*v\n | ibivibiv/math_instruct | |
What is the third derivative of -21*q**3 - 24*q**2 - 11*q**3 + 4*q**3 wrt q?\n | -168\n | ibivibiv/math_instruct | |
Suppose 2*n + o + 4 = 0, -6 = -3*n + 4*o - 1. Let t(p) = -p**3 + 17*p**2 + 19*p - 8. Calculate the least common multiple of t(18) and (n/1)/(2/(-20)).\n | 10\n | ibivibiv/math_instruct | |
Sort 3, 5, 31, -69475 in descending order.\n | 31, 5, 3, -69475\n | ibivibiv/math_instruct | |
Solve -f - 5*v = 14 - 5, 0 = -2*v - 4 for f.\n | 1\n | ibivibiv/math_instruct | |
Evaluate (((-16)/8)/1)/((-105)/(-35)).\n | -2/3\n | ibivibiv/math_instruct | |
What is the additional amount of money that Michael needs to purchase a cake for $20, a bouquet for $36, and a set of balloons for $5, if he initially has $50? | The total cost of the cake, bouquet, and balloons is $20 + $36 + $5 = $61.
If Michael initially has $50, then he needs an additional $61 - $50 = $11.
#### 11
The answer is: 11 | ibivibiv/math_instruct | |
Let y(f) be the second derivative of 2*f**4/3 - 5*f**3/3 - 6*f**2 - 37*f. Is 3 a factor of y(5)?\n | True\n | ibivibiv/math_instruct | |
What is the square root of 512305 to the nearest integer?\n | 716\n | ibivibiv/math_instruct | |
Factor -m**3 - 95*m**2 + 102*m + 576.\n | -(m - 3)*(m + 2)*(m + 96)\n | ibivibiv/math_instruct | |
b"What is the wth term of 664, 1332, 2000, 2668, 3336, 4004?\n" | 668*w - 4\n | ibivibiv/math_instruct | |
Simplify ((sqrt(304) + 4 + 1 - (sqrt(304) + 1*(sqrt(304) + 4))) + 4 + -2)**2.\n | -24*sqrt(19) + 313\n | ibivibiv/math_instruct | |
Let i(f) = -f**2 + 11*f**2 - 3*f**2. Let w(h) be the first derivative of h**2 + 34. Give w(i(z)).\n | 14*z**2\n | ibivibiv/math_instruct | |
Let c(g) be the second derivative of -g**5/30 + g**3/3 + g**2 - 5*g. Let d(x) be the first derivative of c(x). Differentiate d(w) with respect to w.\n | -4*w\n | ibivibiv/math_instruct | |
Let u be -2 + 1 + -2 + 3. Suppose u = -2*d + 6*d. Let g = 0 - d. What is the closest to 2/5 in 3/2, g, 4?\n | g\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 140 and 3528.\n | 28\n | ibivibiv/math_instruct | |
What is 406 minutes after 9:46 AM?\n | 4:32 PM\n | ibivibiv/math_instruct | |
Let l = 0.07 - 6.07. Let o = l - -2. Put o, -1, 2 in decreasing order.\n | 2, -1, o\n | ibivibiv/math_instruct | |
In base 7, what is 6 - 123?\n | -114\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {p: 8, k: 1, t: 9, y: 1}. What is prob of sequence ky?\n | 1/342\n | ibivibiv/math_instruct | |
Solve -3*z + 31435 = 31441 for z.\n | -2\n | ibivibiv/math_instruct | |
Let x(g) = 4*g**3 + 2*g**3 + 16 - 5*g**3 - 15*g**2 - 16*g. Suppose 5*v - 59 = -4*w, 1122 = 4*v + 1126. What is x(w)?\n | 16\n | ibivibiv/math_instruct | |
Let r(i) = 10*i. Let h be r(1). Let c(u) = -35*u + 17*u + h*u. Let o(m) = -2*m**2. Give c(o(f)).\n | 16*f**2\n | ibivibiv/math_instruct | |
What is -26462 (base 8) in base 7?\n | -45506\n | ibivibiv/math_instruct | |
How many meters are there in 54.61136cm?\n | 0.5461136\n | ibivibiv/math_instruct | |
In base 11, what is -33 - -10?\n | -23\n | ibivibiv/math_instruct | |
Let s(m) be the third derivative of m**8/480 - m**7/240 + 7*m**6/720 + 7*m**5/15 + 21*m**2. Let u(i) be the third derivative of s(i). Is u(6) prime?\n | False\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 36 and 2844.\n | 36\n | ibivibiv/math_instruct | |
Simplify (-1 + sqrt(11))**2 + -5 + -1 + sqrt(110)/(6*sqrt(40)).\n | -23*sqrt(11)/12 + 6\n | ibivibiv/math_instruct | |
Let b = 7 + -4. Let n(d) = 1 - b*d + 2*d - 3. Give n(3).\n | -5\n | ibivibiv/math_instruct | |
Let z(m) be the second derivative of -m**5/10 + 23*m**3/6 + 5*m**2/2 + 2*m + 1. Let y(g) = g + 1. Let s(b) = -5*y(b) + z(b). Suppose s(p) = 0. Calculate p.\n | -3, 0, 3\n | ibivibiv/math_instruct | |
Collect the terms in 39172*c - 38398*c - 97782*c.\n | -97008*c\n | ibivibiv/math_instruct | |
12363741.14047+0.071\n | 12363741.21147\n | ibivibiv/math_instruct | |
-3839 divided by 2\n | -3839/2\n | ibivibiv/math_instruct | |
Suppose 2*t + 2*n = -0*n + 1562, -4*n + 1570 = 2*t. Calculate the greatest common divisor of t and 333.\n | 111\n | ibivibiv/math_instruct | |
Let j(x) = -x**3 + 27*x**2 - 125*x + 1531. Give j(25).\n | -344\n | ibivibiv/math_instruct | |
7194 * 2.3509\n | 16912.3746\n | ibivibiv/math_instruct | |
Is 31015783 composite?\n | True\n | ibivibiv/math_instruct | |
Is 44 a factor of 602758?\n | False\n | ibivibiv/math_instruct | |
Calculate the remainder when 2763 is divided by 1362.\n | 39\n | ibivibiv/math_instruct | |
Let q(p) = 2*p + 1. Let r be 4/26*-1 - 552/299. Let l be q(r). Let s(d) = -2*d. Let g be s(l). Solve 40 = -c + g*c - 3*t, 5*c = 4*t + 45 for c.\n | 5\n | ibivibiv/math_instruct | |
Let t = 0.08 - 1.48. Let c = 2.46 - 1.16. Let x = t + c. What is the second biggest value in -2, -3/13, x?\n | -3/13\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {d: 4, i: 2, z: 3}. Give prob of picking 2 z, 1 i, and 1 d.\n | 4/21\n | ibivibiv/math_instruct | |
Divide -1375525650 by 91701710.\n | -15\n | ibivibiv/math_instruct | |
Is 275 a factor of 1619200?\n | True\n | ibivibiv/math_instruct | |
Rearrange -6 + 6 - 5*p**3 + (-16*p**2 + 9*p**2 - 364 + 6*p**2)*(p + p - p) - 2*p**3 + 2 - 2 to the form i*p**2 + j*p**3 + v*p + w and give i.\n | 0\n | ibivibiv/math_instruct | |
Let u(z) be the third derivative of 9*z**5/20 + z**4/6 - 2*z**3/3 - 17*z**2. List the prime factors of u(1).\n | 3\n | ibivibiv/math_instruct | |
What is 304 minutes before 4:13 PM?\n | 11:09 AM\n | ibivibiv/math_instruct | |
Simplify ((b**(-2/3))**(-1/22))**(-34) assuming b is positive.\n | b**(-34/33)\n | ibivibiv/math_instruct | |
Let c be (9/6)/((-1)/(48/(-90))). Is 1.2 not equal to c?\n | True\n | ibivibiv/math_instruct | |
Simplify g**1/(g/g**(3/7)) assuming g is positive.\n | g**(3/7)\n | ibivibiv/math_instruct | |
-1436160 divided by 187\n | -7680\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 36224 and 14150.\n | 905600\n | ibivibiv/math_instruct | |
Calculate 2 - (20 + (0 - 13)) - -7.\n | 2\n | ibivibiv/math_instruct | |
Let h = -17/929823 - -35089970417/5578938. Let l = -6293 + h. Calculate the common denominator of l and 2/5 + 11/(-2).\n | 90\n | ibivibiv/math_instruct | |
Suppose 15*k + 20*k + 151*k = 0. Let r = 0.16 + 7.84. Which is the closest to -0.3? (a) 1 (b) r (c) -2 (d) k\n | d\n | ibivibiv/math_instruct | |
Is 1586714813 prime?\n | True\n | ibivibiv/math_instruct | |
What is 101089 to the power of 1/4, to the nearest integer?\n | 18\n | ibivibiv/math_instruct | |
What is the units digit of 20402?\n | 2\n | ibivibiv/math_instruct | |
Let j = -33965 - -33987. Solve j*m + 2 - 68 = 0 for m.\n | 3\n | ibivibiv/math_instruct | |
0.6*0.73\n | 0.438\n | ibivibiv/math_instruct | |
Let w(l) be the first derivative of 3 - 1/3*l**3 + 0*l**2 + 0*l. Let d(h) = 2*h - 2*h - h**2. Calculate d(w(y)).\n | -y**4\n | ibivibiv/math_instruct | |
What is the least common multiple of 8820 and 49980?\n | 149940\n | ibivibiv/math_instruct | |
Does 79 divide 148903492?\n | False\n | ibivibiv/math_instruct | |
Simplify g**(4/9)/g**(2/9)*(g/g**(-2/5))/((g/g**(2/5)*g*g)/g) assuming g is positive.\n | g**(1/45)\n | ibivibiv/math_instruct | |
Express 8 - 16 - 3 - 6*g as v*g + d and give d.\n | -11\n | ibivibiv/math_instruct | |
Put -10, 71, -4, -85, 0.1, -1/3 in ascending order.\n | -85, -10, -4, -1/3, 0.1, 71\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 x and 3 f when four letters picked without replacement from fjjxjfwbffee.\n | 4/495\n | ibivibiv/math_instruct | |
Collect the terms in -6 + 374*p + 643*p + 2 + 4.\n | 1017*p\n | ibivibiv/math_instruct | |
Simplify -2 + -5 + (((sqrt(91)*2*-5)/(2*sqrt(63)))**2 - (-2*sqrt(1274))/(-2*sqrt(128))).\n | -7*sqrt(13)/8 + 262/9\n | ibivibiv/math_instruct | |
Suppose -4*i + 8*i = -52. Let l = -10 - i. Solve -6*r - j = -r + 5, -15 = -l*j for r.\n | -2\n | ibivibiv/math_instruct | |
Simplify (w*w**(5/7)/w)**5 assuming w is positive.\n | w**(25/7)\n | ibivibiv/math_instruct | |
Let g(s) = 14*s**2 + 3. Let d(r) = -2*r. Give g(d(x)).\n | 56*x**2 + 3\n | ibivibiv/math_instruct | |
Suppose -3*j - 19107 = -3*i, -4*i + 6353 = -3*i - 5*j. Is 83 a factor of i?\n | False\n | ibivibiv/math_instruct | |
Are 1 and 2738/15385 equal?\n | False\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Space of Continuous 2$\pi$-periodic functions is Banach space
I want to proof that the space $(C^0_{2\pi}(\mathbb{R},\mathbb{R}^n), || \cdot||)$, where $|| \cdot||:= \underset{x \in \mathbb R}\max|f(x)|$ is a Banach space.... | To begin, lets define the terms used in the statement "# Space of continuous 2π-periodic functions is Banach space." A Banach space is a complete normed vector space, which means that every Cauchy sequence (a sequence whose elements become arbitrarily close to each other as the sequence progresses) converges to a limi... | ibivibiv/math_instruct | |
Sort 4, 5, -4, 2 in decreasing order.\n | 5, 4, 2, -4\n | ibivibiv/math_instruct | |
Does 161 divide 1089970?\n | True\n | ibivibiv/math_instruct | |
Let p(a) = a**2 - a + 2. Let l be p(2). What is the second derivative of -6*q**5 + 4*q - 37*q**4 + 37*q**l wrt q?\n | -120*q**3\n | ibivibiv/math_instruct | |
What is 25806 less than -489652089?\n | -489677895\n | ibivibiv/math_instruct | |
What is the highest common divisor of 292656 and 14?\n | 14\n | ibivibiv/math_instruct | |
Suppose -o = 8*n + 162801 - 654908, 3*n = 3*o + 184557. What is the ten thousands digit of n?\n | 6\n | ibivibiv/math_instruct | |
What are the prime factors of 12544?\n | 2, 7\n | ibivibiv/math_instruct | |
Sort 2.2, 80604, -5 in decreasing order.\n | 80604, 2.2, -5\n | ibivibiv/math_instruct | |
Expand 18 - 18 - 14*v**2 - 1207*v**2 - 1252*v**2 + 2367*v**2 + (-4*v + 5*v + v)*(-v + 0 + 0) - 2*v**2 + 0*v + 0*v.\n | -110*v**2\n | ibivibiv/math_instruct | |
Simplify (w**(-1))**(-12)*w**(-1/11)/(w/(w/(w/(w**(1/8)/w)))*w*w) assuming w is positive.\n | w**(707/88)\n | ibivibiv/math_instruct | |
How many minutes are there between 3:32 PM and 7:32 PM?\n | 240\n | ibivibiv/math_instruct | |
Is 25094581 composite?\n | False\n | ibivibiv/math_instruct | |
Sort 0.18, -0.09, 1, -0.93, -4, 2 in decreasing order.\n | 2, 1, 0.18, -0.09, -0.93, -4\n | ibivibiv/math_instruct | |
What is the units digit of 430357224?\n | 4\n | ibivibiv/math_instruct | |
Determine r, given that -4*r**5/5 + 9982*r**4/5 + 29062*r**3 + 135470*r**2 + 175750*r - 125500 = 0.\n | -5, 1/2, 2510\n | ibivibiv/math_instruct | |
Let j(r) = 2*r - 2. Let c be j(-4). Let u be (-314)/c - (-6)/(-15). Suppose 5*v = 29 + u. Calculate the greatest common divisor of v and 48.\n | 12\n | ibivibiv/math_instruct | |
Let u = -7930 + 2241. Let w = -318593/56 - u. What is the common denominator of 95/56 and w?\n | 56\n | ibivibiv/math_instruct | |
Which is the nearest to -3774? (a) -15 (b) 2/7 (c) 1/2 (d) 6 (e) 4\n | a\n | ibivibiv/math_instruct | |
In base 7, what is -343333261 - -33?\n | -343333225\n | ibivibiv/math_instruct | |
Let m = 548/53 - 51213/5194. Calculate the common denominator of -59/4 and m.\n | 196\n | ibivibiv/math_instruct | |
Let g(i) = i**3 - 150*i**2 + 4926*i - 3045. What is g(102)?\n | 15\n | ibivibiv/math_instruct | |
Find q, given that -q**2/2 + 183*q/10 - 54/5 = 0.\n | 3/5, 36\n | ibivibiv/math_instruct |
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