instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let i(t) = 2*t**3 + 23*t**2 + 51*t - 11. Calculate i(-3).\n | -11\n | ibivibiv/math_instruct | |
Calculate ((-5)/(-12))/(-5)*(-2)/1.\n | 1/6\n | ibivibiv/math_instruct | |
Express the product of $1001_2$ and $121_3$ in base X. The answer is 144. What is the value of unknown variable X? | To solve this problem, we need to determine the value of x, which represents the base in which the product of $1001_2$ and $121_3$ is expressed as 144.
Let's break down the information given:
$1001_2$ represents a number in base 2.
$121_3$ represents a number in base 3.
The product of $1001_2$ and $121_3$ is expressed ... | ibivibiv/math_instruct | |
Calculate the common denominator of -67/96 and -131/384.\n | 384\n | ibivibiv/math_instruct | |
Let c(l) = 38*l**3 - 347*l**2 - 345*l + 157. What is c(10)?\n | 7\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 65378 and 4131230.\n | 194\n | ibivibiv/math_instruct | |
What is 239dbd (base 14) in base 15?\n | 190ea7\n | ibivibiv/math_instruct | |
Convert 0.8671254 years to millennia.\n | 0.0008671254\n | ibivibiv/math_instruct | |
Simplify x/x**18*(x*x*x**16)/x*x assuming x is positive.\n | x\n | ibivibiv/math_instruct | |
What is three fifths of a centimeter in millimeters?\n | 6\n | ibivibiv/math_instruct | |
What is -a62512 (base 11) in base 3?\n | -10012110012120\n | ibivibiv/math_instruct | |
What is 209 minutes before 2:47 PM?\n | 11:18 AM\n | ibivibiv/math_instruct | |
Uncle Bruce is baking chocolate chip cookies. He has 36 ounces of dough (with no chocolate) and 13 ounces of chocolate. How many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20% chocolate?
Answer Choices: (A) 4 (B) 6 (C) 7.2 (D) 7.8 (E) 9 Please write a progra... | dough = 36
chocolate = 13
desired_chocolate_percentage = 0.2
# calculate the total weight of the cookies
total_weight = dough + chocolate
# calculate the desired weight of chocolate in the cookies
desired_chocolate_weight = total_weight * desired_chocolate_percentage
# calculate the leftover chocolate
leftover_choco... | ibivibiv/math_instruct | |
Let f(g) = 69*g - 2202. Calculate f(32).\n | 6\n | ibivibiv/math_instruct | |
Three letters picked without replacement from mikkiiimiiipmmidiip. What is prob of sequence kdi?\n | 10/2907\n | ibivibiv/math_instruct | |
Let i(y) = 111*y + 986. Determine i(-9).\n | -13\n | ibivibiv/math_instruct | |
Let t(m) = 12*m**3 - 5*m**2 + 8*m. Let j(q) = q**3 + q**2 + q. Let b(w) = -20*j(w) + 4*t(w). Suppose b(k) = 0. Calculate k.\n | 0, 3/7, 1\n | ibivibiv/math_instruct | |
Simplify (o/o**(2/3))**(-9)*(o**4)**(30/11) assuming o is positive.\n | o**(87/11)\n | ibivibiv/math_instruct | |
Expand ((63 + 1405 - 84)*(3*m - 3*m + m) + 2*m - m - 3*m)*(-m**2 - 2*m + 2*m).\n | -1382*m**3\n | ibivibiv/math_instruct | |
Is 955/113093 bigger than 1?\n | False\n | ibivibiv/math_instruct | |
Sort 1, 0, 5, 4, -23, 106 in decreasing order.\n | 106, 5, 4, 1, 0, -23\n | ibivibiv/math_instruct | |
31969152 * 4\n | 127876608\n | ibivibiv/math_instruct | |
Suppose 0 = 9*r - 312 - 3. Let k(a) = 141*a - 3. What is the remainder when k(1) is divided by r?\n | 33\n | ibivibiv/math_instruct | |
If Cristina brings 7 photos, John brings 10 photos, and Sarah brings 9 photos, and the photo album has 40 slots available, how many photos does Clarissa need to bring to complete the photo album for their mothers birthday? | Cristina brings 7 photos, John brings 10 photos, and Sarah brings 9 photos.
Together, they bring a total of 7 + 10 + 9 = 26 photos.
The photo album has 40 slots available.
To complete the photo album, Clarissa needs to bring 40 - 26 = 14 photos.
#### 14
The answer is: 14 | ibivibiv/math_instruct | |
Let w = 26 - 49. Let t = -1911028785.99999983 - -1911028809. Let a = t + w. Round a to 7 dps.\n | 0.0000002\n | ibivibiv/math_instruct | |
Put 199, 1/5, 4, -0.07, 3, 7, -5 in decreasing order.\n | 199, 7, 4, 3, 1/5, -0.07, -5\n | ibivibiv/math_instruct | |
What is the nearest to -1/4 in -2, -5, 2, 0.3?\n | 0.3\n | ibivibiv/math_instruct | |
Solve 0 = -p + 2*h + 14, -23 = -2*p - 0*p + 3*h for p.\n | 4\n | ibivibiv/math_instruct | |
Expand (-4*r + 2*r + 4*r)*(-2 + 0 + 0) - 1 + 1 + 2*r - 7*r + 3*r + 2*r + 2*r - 5*r + 6*r - 11*r + 3 + 2*r + 4*r.\n | -6*r + 3\n | ibivibiv/math_instruct | |
Simplify (0 + (2 + sqrt(117))**2 - sqrt(117) - (0 + sqrt(117) + -2)**2) + 4.\n | 4 + 21*sqrt(13)\n | ibivibiv/math_instruct | |
In base 6, what is 414325 + 5?\n | 414334\n | ibivibiv/math_instruct | |
How many minutes are there between 6:17 AM and 2:22 PM?\n | 485\n | ibivibiv/math_instruct | |
Let u = -4 + -1. Let n = 0 - u. Put 3, n, 1 in increasing order.\n | 1, 3, n\n | ibivibiv/math_instruct | |
Let z be 22135/30 + (-7)/(-42). Calculate the highest common factor of z and 82.\n | 82\n | ibivibiv/math_instruct | |
Is -451089 <= -451089?\n | True\n | ibivibiv/math_instruct | |
Calculate -7075 divided by 1415.\n | -5\n | ibivibiv/math_instruct | |
Put 4, 131, -2 in increasing order.\n | -2, 4, 131\n | ibivibiv/math_instruct | |
Suppose 5*i - 8 = 2*h, -106 + 100 = h - 3*i. Let a(w) = w**2 - 8*w + 5. What is a(h)?\n | -7\n | ibivibiv/math_instruct | |
Let f(l) = -4*l**2 - 4*l - 2. Let h be f(-2). Let j = 248 + -259. Which is bigger: j or h?\n | h\n | ibivibiv/math_instruct | |
Which is the nearest to -1? (a) -4/5 (b) -1.9 (c) -116\n | a\n | ibivibiv/math_instruct | |
What is w in 4*w**5 - 204*w**4 + 3824*w**3 - 30464*w**2 + 75264*w + 109760 = 0?\n | -1, 10, 14\n | ibivibiv/math_instruct | |
What is the greatest common factor of 850 and 204?\n | 34\n | ibivibiv/math_instruct | |
Suppose p - 1 = 4*s - 12, -3*p + 4*s = 9. Let m be 5/p + (-1 - -3). List the prime factors of (m - 33)*1/(-1).\n | 2, 13\n | ibivibiv/math_instruct | |
What is 32/5 of a microgram in nanograms?\n | 6400\n | ibivibiv/math_instruct | |
What is 6 - (23 + -12) - (-2 + 6)?\n | -9\n | ibivibiv/math_instruct | |
Let g = -35 - 71. Let m = 55 - g. Calculate the greatest common divisor of m and 23.\n | 23\n | ibivibiv/math_instruct | |
Collect the terms in -145*y**2 + 2*y**3 + 145*y**2.\n | 2*y**3\n | ibivibiv/math_instruct | |
What is the tenth root of 194428683 to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
How many years are there in 474344.4 months?\n | 39528.7\n | ibivibiv/math_instruct | |
Let a = 19 + -16. Let k = -93 + 201. Suppose a*l = -l + k. Is 10 a factor of l?\n | False\n | ibivibiv/math_instruct | |
Round 7.3 to the nearest integer.\n | 7\n | ibivibiv/math_instruct | |
Find the third derivative of -73215*a**3 + 2*a**2 - 5953*a + 1 wrt a.\n | -439290\n | ibivibiv/math_instruct | |
Let o = 22 + -16. Suppose 3*a + o = 6*a. Suppose 4*h + 88 = a*b + 5*h, 220 = 5*b - h. Calculate the remainder when b is divided by 23.\n | 21\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 29632651?\n | 6\n | ibivibiv/math_instruct | |
Let a = 50 - 32. Let h = -15 + a. Sort -2, 0, h in increasing order.\n | -2, 0, h\n | ibivibiv/math_instruct | |
Is 90789 at most 90771?\n | False\n | ibivibiv/math_instruct | |
What is 154 minutes before 5:21 AM?\n | 2:47 AM\n | ibivibiv/math_instruct | |
Convert -5 (base 11) to base 13.\n | -5\n | ibivibiv/math_instruct | |
What is the highest common factor of 4725 and 1283310?\n | 945\n | ibivibiv/math_instruct | |
Let t = -0.094 - 0.436. Let d = t + 0.95. Let o = d + -0.42. Which is the nearest to o? (a) -1 (b) -5 (c) -3\n | a\n | ibivibiv/math_instruct | |
Express (-71*p**2 + 269*p**2 + 109*p**2)*(0 + 0 - 3) in the form q*p + y*p**2 + r and give r.\n | 0\n | ibivibiv/math_instruct | |
What are the prime factors of 10175?\n | 5, 11, 37\n | ibivibiv/math_instruct | |
Let l(u) be the first derivative of u**5/20 - u**4/16 - u**3/12 + u**2/8 + 12. Factor l(n).\n | n*(n - 1)**2*(n + 1)/4\n | ibivibiv/math_instruct | |
Let m be (-2 - 1) + 6 - (399 - -3). Let k = m + 1049. What is the units digit of k?\n | 0\n | ibivibiv/math_instruct | |
Let a(z) = -9*z - 12. Let v(i) = -i**3 + 4*i**2 + 6*i - 2. Let p be v(7). Let h = p - -150. Calculate the remainder when h is divided by a(-3).\n | 13\n | ibivibiv/math_instruct | |
What is the tens digit of 3090?\n | 9\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 17 and 71009.\n | 17\n | ibivibiv/math_instruct | |
Suppose 4*k - 2608 = -2*r + 764, 4217 = 5*k + 2*r. What is the units digit of k?\n | 5\n | ibivibiv/math_instruct | |
Let j = -7 + 5. Let q = -51 - -51. Sort j, -3, q in decreasing order.\n | q, j, -3\n | ibivibiv/math_instruct | |
Let k = -486 - -4102. What are the prime factors of k?\n | 2, 113\n | ibivibiv/math_instruct | |
Let q(b) be the first derivative of b**4/4 - 5*b**3/3 - 3*b**2/2 - 1. Let s be (-12)/(-1)*(-2)/(-4). What is the remainder when 53 is divided by q(s)?\n | 17\n | ibivibiv/math_instruct | |
Add 25205.1 and -45340422.\n | -45315216.9\n | ibivibiv/math_instruct | |
What is the nearest to -2/5 in 3/5, 29, -0.76, -0.6, 0.05?\n | -0.6\n | ibivibiv/math_instruct | |
Let g = -180 - -179.6. Put -0.2, 2/9, g, 1/3 in descending order.\n | 1/3, 2/9, -0.2, g\n | ibivibiv/math_instruct | |
Calculate 5325 divided by 13740.\n | 355/916\n | ibivibiv/math_instruct | |
What is -0.0002284763 rounded to five dps?\n | -0.00023\n | ibivibiv/math_instruct | |
Does 43 divide 188?\n | False\n | ibivibiv/math_instruct | |
Let t be (-61)/10 - 218/(-2180). Let b(c) = 8*c**3 - 3*c**2 + 2*c - 2. Let l(w) = -15*w**3 + 7*w**2 - 5*w + 5. Calculate t*l(n) - 14*b(n).\n | -22*n**3 + 2*n - 2\n | ibivibiv/math_instruct | |
Let l = 0 + 0. Let u = -21 + 43/2. Let n = -11 + 14. Which is the closest to l? (a) -1 (b) u (c) n\n | b\n | ibivibiv/math_instruct | |
Suppose 53 = 5*s - 122. What are the prime factors of s?\n | 5, 7\n | ibivibiv/math_instruct | |
Suppose 0 = -3*d + 3*l + l + 703, 2*l - 715 = -3*d. What is the tens digit of d?\n | 3\n | ibivibiv/math_instruct | |
Is 66087107 a prime number?\n | False\n | ibivibiv/math_instruct | |
In base 6, what is -5514033 - 40?\n | -5514113\n | ibivibiv/math_instruct | |
Convert 46 (base 7) to base 16.\n | 22\n | ibivibiv/math_instruct | |
Expand (-c + c + 2*c)*(-c + 3*c - 4*c) + 0*c**2 + 0*c**2 - c**2 + (0*c**2 - 2*c**2 + 3*c**2)*(1 + 0 - 2) + 0*c**2 - 2*c**2 + c**2 - 2 - c**2 + 2.\n | -8*c**2\n | ibivibiv/math_instruct | |
Let v(s) = 4*s**3 + 6*s**2 + 6. Let o(h) = h**3 + h**2 + 1. Calculate 6*o(q) - v(q).\n | 2*q**3\n | ibivibiv/math_instruct | |
Compute $i^{600} + i^{599} + \cdots + i + X$, where $i^2=-1$.
If we know the answer to the above question is 1, what is the value of unknown variable X? | We are given that $i^2 = -1$.
To compute the given expression, we can observe a pattern in the terms.
The powers of $i$ cycle in a pattern: $i^1 = i$, $i^2 = -1$, $i^3 = -i$, $i^4 = 1$, and so on.
We can group the terms in pairs: $(i^{600} + i^{599}) + (i^{598} + i^{597}) + \cdots + (i^{2} + i^{1}) + X$.
Each pair of t... | ibivibiv/math_instruct | |
Let w(j) = 3*j. Let v(f) = -4*f**2 + 8*f + 8. Let o(i) = 3*i**2 - 5*i - 5. Let g(u) = -8*o(u) - 5*v(u). Calculate g(w(z)).\n | -36*z**2\n | ibivibiv/math_instruct | |
Determine w, given that -2*w**3/5 + 432*w**2/5 - 16104*w/5 + 166496/5 = 0.\n | 22, 172\n | ibivibiv/math_instruct | |
Let v = 10 + -5. Let s = v - 6. Is s greater than -1?\n | False\n | ibivibiv/math_instruct | |
Let c(z) = 10*z - 19. Let t be c(-6). Let g = -79 - t. Factor g - 2/3*b + 1/3*b**2.\n | b*(b - 2)/3\n | ibivibiv/math_instruct | |
Let h(k) = -k**3 + k + 1. Let d be ((-6)/9)/(2/(-3)). Let x(j) = 2*j**4 - j**3 + j + 4. Let i(l) = d*x(l) - h(l). Differentiate i(c) with respect to c.\n | 8*c**3\n | ibivibiv/math_instruct | |
Simplify q**1/q*q*q**(2/23)*(q**(-1/3)/q)/(q*q*q**2) assuming q is positive.\n | q**(-293/69)\n | ibivibiv/math_instruct | |
Let s(g) = 2*g - 9*g + 4*g + 24. Let j be s(3). Solve 0 = -3*y + 2*a + j, 5*y + 4*a = 20 + 5 for y.\n | 5\n | ibivibiv/math_instruct | |
Which is smaller: -5 or -192?\n | -192\n | ibivibiv/math_instruct | |
Factor 24/7*f**2 + 12/7*f + 0 + 15/7*f**3 + 3/7*f**4.\n | 3*f*(f + 1)*(f + 2)**2/7\n | ibivibiv/math_instruct | |
If Adah practiced the cello for a total of 7.5 hours last week, and he practiced for 86 minutes on each of 2 days, how many minutes did he practice in total on the remaining days? | Adah practiced for a total of 7.5 hours, which is equal to 7.5 x 60 = 450 minutes.
He practiced for 86 minutes on each of 2 days, so he practiced for a total of 86 x 2 = 172 minutes on those days.
Therefore, he practiced for 450 - 172 = 278 minutes in total on the remaining days.
#### 278
The answer is: 278 | ibivibiv/math_instruct | |
Daisy is climbing trees all around her neighborhood and starts to notice the number of branches and the height. The first tree she climbs is 50 feet tall and has 200 branches. The second tree she climbs is 40 feet tall and has 180 branches. The third tree she climbs is 60 feet tall and has 180 branches. The final tree ... | The total number of branches in the first tree is 200 branches.
The height of the first tree is 50 feet.
So, the number of branches per foot in the first tree is 200 branches / 50 feet = 4 branches per foot.
The total number of branches in the second tree is 180 branches.
The height of the second tree is 40 feet.
So, t... | ibivibiv/math_instruct | |
Differentiate 21727*y**4 + 11716.\n | 86908*y**3\n | ibivibiv/math_instruct | |
In base 2, what is 1 - -101110?\n | 101111\n | ibivibiv/math_instruct |
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