instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 54529641 to the power of 1/5, to the nearest integer?\n | 35\n | ibivibiv/math_instruct | |
Suppose 1 = -0*r - r - 4*v, 3*v + 3 = -3*r. Let t = r - -4. Solve -7*d = -l - 2*d - t, -l + 3*d - 3 = 0 for l.\n | -3\n | ibivibiv/math_instruct | |
What is 120 minutes after 9:47 AM?\n | 11:47 AM\n | ibivibiv/math_instruct | |
Let a(d) = 3*d**3 - 3*d**2 - 2*d - 2. Let q(b) = 12*b**3 - 11*b**2 - 9*b - 9. Let s(j) = -9*a(j) + 2*q(j). What is the third derivative of s(k) wrt k?\n | -18\n | ibivibiv/math_instruct | |
Let f = -3999 + 5894. What is the thousands digit of f?\n | 1\n | ibivibiv/math_instruct | |
What is the second smallest value in 0.6, 0.5, 364284?\n | 0.6\n | ibivibiv/math_instruct | |
In base 2, what is 0 + 1111?\n | 1111\n | ibivibiv/math_instruct | |
Is 14963 a composite number?\n | True\n | ibivibiv/math_instruct | |
If Jackie climbed a tree that was 1000 feet tall, followed by two trees that were half as tall as the first tree, and finally a tree that was 200 feet taller than the first tree, what is the average height of the trees that Jackie climbed? | The first tree Jackie climbed was 1000 feet tall.
The second tree was half as tall as the first tree, so it was 1000/2 = 500 feet tall.
The third tree was also half as tall as the first tree, so it was 1000/2 = 500 feet tall.
The fourth tree was 200 feet taller than the first tree, so it was 1000+200 = 1200 feet tall.
... | ibivibiv/math_instruct | |
Suppose 100*u**4/7 + 156220*u**3/7 - 1107665024*u**2/7 + 886057008*u/7 - 25315200 = 0. Calculate u.\n | -4200, 2/5, 2637\n | ibivibiv/math_instruct | |
What is the value of 14 + -4 + (-3 - 1)?\n | 6\n | ibivibiv/math_instruct | |
What is the tens digit of 278093995?\n | 9\n | ibivibiv/math_instruct | |
Sort 73, 2/11, 1/39746 in decreasing order.\n | 73, 2/11, 1/39746\n | ibivibiv/math_instruct | |
Calculate (-8 - (-7 - -1)) + 5 + -11.\n | -8\n | ibivibiv/math_instruct | |
Let f(h) = 7*h**2 + 237*h - 32. Let z be f(-34). Let b(j) = -j**3 + 5*j + 1. Let u be b(-5). What is the tens digit of (z + (u/2 - 0))*2?\n | 0\n | ibivibiv/math_instruct | |
What is 492 minutes after 9:55 PM?\n | 6:07 AM\n | ibivibiv/math_instruct | |
Let r(x) = 2*x**2 - 3*x + 3. Calculate r(5).\n | 38\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"The magnetic field is always in the y direction, However, you can enter Ex,Ey,Ez to add electric field to the system.
The force for charge particle in the electric and magnetic field is $\vec{F}=q\vec{E}+ q\vec{v}\times\vec{B... | The passage provided describes the behavior of a charged particle in both electric and magnetic fields. It begins by specifying that the magnetic field is consistent in the y-direction, but allows for the addition of an electric field through entering values for Ex, Ey, and Ez. This leads us to the Lorentz Force equat... | ibivibiv/math_instruct | |
Simplify ((4*sqrt(352))/(sqrt(2) + sqrt(6)/sqrt(3)*-6 - sqrt(2)))**2 + -4.\n | 668/9\n | ibivibiv/math_instruct | |
Suppose 0 = 4*t - l + 7, -4*t - 10 = -3*t - 3*l. Let o(w) = -4*w**3 - w**2. Let y be o(t). Solve -3*a - 9 = y*x, -2*x + a - 20 = -4*a for x.\n | -5\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Secret sharing with maths
February 1st, 2019
I'm currently working my way through Jeremy Kun's A Programmers Introduction to Mathematics. One of the exercises in Chapter 2 asks you to create a web app to implement secret ... | Secret sharing is a cryptographic technique that involves dividing a secret message or value into multiple parts, called "shares," which can then be distributed among a group of participants. The remarkable feature of this method is that even though individual shares may reveal nothing about the original secret, when ... | ibivibiv/math_instruct | |
-140024 (base 9) to base 8\n | -246503\n | ibivibiv/math_instruct | |
Differentiate 6*r + 2 + r + 5 + 11 wrt r.\n | 7\n | ibivibiv/math_instruct | |
List the prime factors of 3650521116.\n | 2, 3, 11, 191, 13163\n | ibivibiv/math_instruct | |
Let z(m) = -9*m**2 + 3*m + 3. Let b(t) = 7*t**2 - 2*t - 6. What is 6*b(g) + 4*z(g)?\n | 6*g**2 - 24\n | ibivibiv/math_instruct | |
In base 4, what is -10 + 331223?\n | 331213\n | ibivibiv/math_instruct | |
What is the closest to 1/7 in 2.6, 1/3, 0.2, -16/5, -49?\n | 0.2\n | ibivibiv/math_instruct | |
Simplify (-2 + 3*(sqrt(320) + -4 + -1*sqrt(320)))**2*-4.\n | -784\n | ibivibiv/math_instruct | |
What is ((595/(-153))/(-5))/(870/(-2349))?\n | -21/10\n | ibivibiv/math_instruct | |
Let x(q) = -q**3 + 162*q**2 + 12*q - 1843. What is x(162)?\n | 101\n | ibivibiv/math_instruct | |
Let a = 810 - 815. Let w(k) = -16*k**2 - 10*k - 7. Let y(c) = -11*c**2 - 7*c - 5. What is a*w(p) + 7*y(p)?\n | 3*p**2 + p\n | ibivibiv/math_instruct | |
Suppose -7*q - 6257 = 358. What is the remainder when q/18*(-24)/15 is divided by 11?\n | 7\n | ibivibiv/math_instruct | |
Let b = -3446 - -3450. Solve 3*n = x + x + 19, 4*x + b*n + 8 = 0 for x.\n | -5\n | ibivibiv/math_instruct | |
Let x = 3 - 3.5. Suppose 4*n + 7*i = 4*i + 12, 3*n = i + 9. Let t(w) = w**2 - 4*w. Let f be t(n). What is the smallest value in 1, f, x?\n | f\n | ibivibiv/math_instruct | |
Simplify (-1*(sqrt(3159) - 2*sqrt(3159)))/(sqrt(24)/(sqrt(16)/(sqrt(2)*2))) + -4.\n | -4 + 9*sqrt(13)/2\n | ibivibiv/math_instruct | |
Convert 6673 (base 10) to base 14.\n | 2609\n | ibivibiv/math_instruct | |
What is the value of 42/(-21)*-1*(1/(-3) + 1)?\n | 4/3\n | ibivibiv/math_instruct | |
Let i = 397 + -321. Calculate the remainder when i is divided by 20.\n | 16\n | ibivibiv/math_instruct | |
What is (13/1)/(3666/1692)?\n | 6\n | ibivibiv/math_instruct | |
Let r = -11 + -8. Let k(o) be the second derivative of o**5/20 + 5*o**4/3 + 19*o**3/6 + 3*o**2 - 825*o. Does 6 divide k(r)?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -2294*j + 175 - 175.\n | -2294*j\n | ibivibiv/math_instruct | |
Suppose 5*b - 2*b - 21 = 3*q, 2*q + 7 = -5*b. Let d be 4/(-6)*(-72)/16. Let u = q + d. What is the third biggest value in 3, 3/5, u?\n | u\n | ibivibiv/math_instruct | |
Let g = -27 - -32. Sort -3, g, -4, 0 in descending order.\n | g, 0, -3, -4\n | ibivibiv/math_instruct | |
Rearrange (-2*y + y + 2*y)*(1 + 2 - 2) + (3 - 3 - y)*(-4 + 4 + 5) to the form a*y + n and give a.\n | -4\n | ibivibiv/math_instruct | |
Let c(a) = 30*a + 119. Let r be c(-8). Let w = 166 + r. Calculate the lowest common multiple of 10 and w.\n | 90\n | ibivibiv/math_instruct | |
Round 1504004 to the nearest one thousand.\n | 1504000\n | ibivibiv/math_instruct | |
Solve 7*i - 6*i = 2 for i.\n | 2\n | ibivibiv/math_instruct | |
Expand -2*f - 2*f**4 - f**4 + f**4 + (1 + 0 + 2)*(2*f**4 + 0*f**2 + 0*f**2).\n | 4*f**4 - 2*f\n | ibivibiv/math_instruct | |
Find the second derivative of -943872*r**3 + r - 865669.\n | -5663232*r\n | ibivibiv/math_instruct | |
What is the product of 970847 and 7?\n | 6795929\n | ibivibiv/math_instruct | |
Solve -16 = -6*h - 2*h for h.\n | 2\n | ibivibiv/math_instruct | |
Expand (0*y + 5*y - 3*y)*(-2*y + 2*y + 4*y) + 8*y**2 + y**2 + y**2.\n | 18*y**2\n | ibivibiv/math_instruct | |
In base 6, what is 50550350 + -232?\n | 50550114\n | ibivibiv/math_instruct | |
Let k be ((-8)/(-20))/((-6)/(-1427)). Let m be (-5832)/(-736)*12 + 2/(-23). Let g = m - k. Put g, 2/9, 2/5 in decreasing order.\n | 2/5, 2/9, g\n | ibivibiv/math_instruct | |
Expand (1 + 0 + 0)*(-3*v + 6*v - 2*v) + (11 - 25 + 5)*(1 - 1 + 2)*(v - 2 + 2).\n | -17*v\n | ibivibiv/math_instruct | |
Let r(w) = -w**2 + 122*w + 2550. Determine r(-18).\n | 30\n | ibivibiv/math_instruct | |
Simplify (y**(2/3)/(y**(5/3)/y))**43*((y*(y**2*y)/y)**23)**(-5/12) assuming y is positive.\n | y**(-115/4)\n | ibivibiv/math_instruct | |
Collect the terms in -66*v**2 + 384*v**2 + 0 - 1084*v**2 + 410*v**2 + 412*v**2 + 0.\n | 56*v**2\n | ibivibiv/math_instruct | |
Suppose b = -3*r + 397 + 514, 923 = 3*r - 2*b. What is the tens digit of r?\n | 0\n | ibivibiv/math_instruct | |
In base 10, what is -5427260 + 45?\n | -5427215\n | ibivibiv/math_instruct | |
Multiply 0.221 and -6.\n | -1.326\n | ibivibiv/math_instruct | |
Simplify ((j**(2/13))**(-35)/(j**(-1/4)*j*(j/((j*j**(-7/6))/j))/j))**26 assuming j is positive.\n | j**(-1139/6)\n | ibivibiv/math_instruct | |
Suppose -5*t - 5*f + 22 + 13 = 0, -5*f + 29 = 3*t. Solve -5*i + 5 = -y + 19, -2*i - t = -3*y for y.\n | -1\n | ibivibiv/math_instruct | |
Round -17.57494 to the nearest integer.\n | -18\n | ibivibiv/math_instruct | |
Let b(f) = f + 5. Calculate the least common multiple of ((-180)/(-48))/((-6)/(-32)) and b(5).\n | 20\n | ibivibiv/math_instruct | |
Let f = -879 + 1030. Calculate the remainder when f is divided by 24.\n | 7\n | ibivibiv/math_instruct | |
Worker A takes some hours to do a job. Worker B takes 10 hours to do the same job. Working together but independently, they can do the same job in 2.857142857142857 hours. How long does it take for Worker A to do the job alone? | Let's denote the time it takes for Worker A to do the job alone as \( A \) hours.
Worker A's work rate is \( \frac{1}{A} \) jobs per hour, and Worker Bs work rate is \( \frac{1}{10} \) jobs per hour.
When they work together, their combined work rate is the sum of their individual work rates, which is \( \frac{1}{A} +... | ibivibiv/math_instruct | |
What is the fourth smallest value in -10, 1/4, 0.1, 1/5?\n | 1/4\n | ibivibiv/math_instruct | |
What is 300 minutes before 4:02 AM?\n | 11:02 PM\n | ibivibiv/math_instruct | |
List the prime factors of 662787699.\n | 3, 7, 31561319\n | ibivibiv/math_instruct | |
What is the value of (101 + (-174456)/1728)*18/(-4)?\n | -3/16\n | ibivibiv/math_instruct | |
What is the value of 435/(-290)*(-1)/17?\n | 3/34\n | ibivibiv/math_instruct | |
Is 282 a factor of 4984914?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 3659503?\n | 373, 9811\n | ibivibiv/math_instruct | |
Suppose 0 = -5*f + 50 - 0. List the prime factors of f.\n | 2, 5\n | ibivibiv/math_instruct | |
Expand (1 - 3*i**4 - 1)*(-4*i - 3*i + 3*i) + 3*i**5 + i**5 - 3*i**5 - 9*i**5 - 41*i**5 + 12*i**5 + i**5 + 3 - 3.\n | -24*i**5\n | ibivibiv/math_instruct | |
In base 7, what is -365611 - -15001?\n | -350610\n | ibivibiv/math_instruct | |
Collect the terms in 1 - 80913650*c**2 - 3 - 80913656*c**2 + 161827284*c**2.\n | -22*c**2 - 2\n | ibivibiv/math_instruct | |
What is 0.61 rounded to zero decimal places?\n | 1\n | ibivibiv/math_instruct | |
Which is the fifth biggest value? (a) 2 (b) -1 (c) -1/5 (d) -1/9 (e) 1.7 (f) 3\n | c\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 32 and 456?\n | 1824\n | ibivibiv/math_instruct | |
Suppose -82*t + 16394 = -75*t. Is t prime?\n | False\n | ibivibiv/math_instruct | |
While Greg was camping with his family for a week, it rained for 3 days. When he looked at the weather records, he saw that the amount of rain was 3 mm, 6 mm, and 5 mm on the three days. During the same week, it rained 26 mm at his house. How much less rain did Greg experience while camping? Lets program in Python in t... | # define the amount of rain Greg experienced while camping
rain_camping = 3 + 6 + 5
# define the amount of rain at Gregs house
rain_house = 26
# calculate how much less rain Greg experienced while camping
less_rain = rain_house - rain_camping
# print the result
print(less_rain) | ibivibiv/math_instruct | |
Let a = 0.17389 + -2.17369. Let x = a - -2. Round x to 4 dps.\n | 0.0002\n | ibivibiv/math_instruct | |
Let r = -16 - -34. Let i = 20 - 10. What is the lowest common multiple of i and r?\n | 90\n | ibivibiv/math_instruct | |
Suppose -1 = -5*i - 3*p, -p + 3 = -3*i - 4*p. Let b(z) = 2*z**2 + 2*z - 1. Let k be b(1). Put k, -7, i in decreasing order.\n | k, i, -7\n | ibivibiv/math_instruct | |
Let w(m) = -m**3 - 37*m**2 - 229*m - 14. Let s be w(-7). What is the highest common divisor of 4267 and s?\n | 17\n | ibivibiv/math_instruct | |
What is the nearest to 0 in -2/3, 3, -1/7, 3/8?\n | -1/7\n | ibivibiv/math_instruct | |
Let p be 0 + -3*4/(-6). Let t(b) = -5*b - 5. Let s(d) = 11*d + 9. Let i(m) = 4*s(m) + 9*t(m). Let f be i(-12). Is p <= f?\n | True\n | ibivibiv/math_instruct | |
What is 0.000060945 rounded to six dps?\n | 0.000061\n | ibivibiv/math_instruct | |
Let t be 16/952*-14 - 252/(-204). Let s = -347.8 - 93.2. Which is greater: t or s?\n | t\n | ibivibiv/math_instruct | |
Find f, given that f**4 + 764*f**3 + 76227*f**2 - 764*f - 76228 = 0.\n | -646, -118, -1, 1\n | ibivibiv/math_instruct | |
Collect the terms in 284*x**3 - 109*x**3 + 9*x - 9*x.\n | 175*x**3\n | ibivibiv/math_instruct | |
In base 7, what is -22 + 0?\n | -22\n | ibivibiv/math_instruct | |
b"What is the qth term of -75, -151, -227, -303, -379, -455?\n" | -76*q + 1\n | ibivibiv/math_instruct | |
What is the derivative of -1 + 16 - 6*u**2 + 8 wrt u?\n | -12*u\n | ibivibiv/math_instruct | |
Let f = 16125 - 16128.0326. Let h = -3 - f. What is h rounded to three dps?\n | 0.033\n | ibivibiv/math_instruct | |
b"What is the vth term of -6, -65, -124, -183?\n" | -59*v + 53\n | ibivibiv/math_instruct | |
Let x be (-2 - -2)/3 + -5. Let v be 2*x*(-1)/2. Find the third derivative of 3*z**5 - z**v - z**2 + 0*z**5 wrt z.\n | 120*z**2\n | ibivibiv/math_instruct | |
What are the prime factors of 18184?\n | 2, 2273\n | ibivibiv/math_instruct |
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