text stringlengths 8.19k 8.19k | meta dict |
|---|---|
**3 - 9195*r**2 - 3488*r?
408593388
Find the first derivative of 195051664*p**3 - 124954135.
585154992*p**2
What is the second derivative of 281292271*w**5 - 510*w - 780413 wrt w?
5625845420*w**3
What is the derivative of -63687318*u**3 + 562473557?
-191061954*u**2
What is the derivative of -95214738*c**2 + 8731439 wrt... | {
"pile_set_name": "DM Mathematics"
} |
1/5, to the nearest integer?
13
What is the square root of 211269 to the nearest integer?
460
What is the square root of 645374 to the nearest integer?
803
What is the third root of 165953 to the nearest integer?
55
What is the square root of 37700846 to the nearest integer?
6140
What is the cube root of 913621 to the... | {
"pile_set_name": "DM Mathematics"
} |
o?
True
Suppose -3*t = 1 + 8. Let s(d) = d**3 + 6*d**2 + 2*d + 1. Let u be s(t). Suppose 10 = 5*z, 5*a + 0*z = -z + u. Is 4 a factor of a?
True
Suppose 5*l = r - 35, -2*r + 5*l - 15 = -70. Is r a multiple of 4?
True
Suppose 2*l + 11 - 1 = 0. Does 15 divide (-2)/l - 118/(-5)?
False
Suppose 3*k - 3*f + 0*f - 72 = 0, -25... | {
"pile_set_name": "DM Mathematics"
} |
(1031/180)
Simplify ((((j**(-1)*j)/j*j*j**(2/21))/(j/j**(3/7)*(j**(-12)*j)/j*j))**(-1/74))**47 assuming j is positive.
j**(-10387/1554)
Simplify ((x**3*x)**(-47))**(2/15)/((x**(-1)*x)**(4/11))**(1/22) assuming x is positive.
x**(-376/15)
Simplify ((((u*(u*u/(u*((((u/(u/u**(1/3))*u*u)/u)/u)/u)/u*u)*u)/u*u)**(-3/8))**42)... | {
"pile_set_name": "DM Mathematics"
} |
third derivative of -98552*h**2*k**4 - 79*h**2*k - 3*h*k**4 - 10518*h*k**2 wrt k?
-2365248*h**2*k - 72*h*k
Differentiate 633*u**3 + 76*u**2 - 2*u - 2317950 with respect to u.
1899*u**2 + 152*u - 2
Find the third derivative of 539127*k**3*y**2 + 3*k**3*y + 15*k**2*y**2 + 126*k**2*y - 15*k wrt k.
3234762*y**2 + 18*y
Find... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of s(v).
2, 31
Suppose 82*c - 105394 = 117236. What are the prime factors of c?
3, 5, 181
Let u(f) = -76*f**2 + 2*f - 1. Let k be u(1). Let m = k + 139. List the prime factors of m.
2
Let o = 2291 - 1280. List the prime factors of o.
3, 337
Let j(h) = -h**2 + 8*h - 2. Let u be j(8). Let n be ((-18)/(-... | {
"pile_set_name": "DM Mathematics"
} |
t one hundred thousand.
1200000
Let x = -10466778079010308.50000009 + 10466777905557599. Let f = -173452708 - x. Let q = 1.5 - f. Round q to seven decimal places.
-0.0000001
Let n = -81.99 - -81.989992515. Round n to six dps.
-0.000007
Suppose 0 = 60*x - 59*x + 6. Let l be 3 + (x/18)/(2/42). Let q = l - 34. What is q r... | {
"pile_set_name": "DM Mathematics"
} |
n two letters picked without replacement from uuuuuugguuug.
1/22
Two letters picked without replacement from {v: 5, g: 9}. Give prob of picking 2 v.
10/91
Four letters picked without replacement from txtstsxxxxstx. What is prob of picking 2 x, 1 t, and 1 s?
36/143
Three letters picked without replacement from {p: 3, l:... | {
"pile_set_name": "DM Mathematics"
} |
+ g*q(a).
-3*a**3 + 1
Let c(r) = 8*r**2 + 7*r - 7. Suppose -7*f + 78 - 29 = 0. Let l(o) = 4*o**2 + 3*o - 3. Let z be (-8)/28 - (-38)/(-14). Give f*l(p) + z*c(p).
4*p**2
Let a(d) = -14*d - 16. Let o(p) = 5*p + 5. Give 5*a(u) + 16*o(u).
10*u
Suppose 0 = -4*b - 0 + 12. Suppose -3 = b*n - 0*n. Let p(s) = -s + 1. Let y be -... | {
"pile_set_name": "DM Mathematics"
} |
*-1*-3.
-6*sqrt(2)
Simplify (-6*sqrt(55)/sqrt(5) - sqrt(11))**2 + 1.
540
Simplify (4*sqrt(10)/sqrt(5))**2 + 3.
35
Simplify -3 + sqrt(7) + 5*sqrt(7) + -3.
-6 + 6*sqrt(7)
Simplify sqrt(5) + (sqrt(5) - (sqrt(45)/(sqrt(63)/sqrt(7)))**2) + (sqrt(605))**2*3.
2*sqrt(5) + 1810
Simplify (-2 + 4*(-5 + sqrt(13)*-1))**2.
176*sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
= -4*d - 1. Is g <= 20?
True
Let h(v) = 3*v. Let y(n) = n. Let g(l) = 2*h(l) - 7*y(l). Let o be g(-1). Is 2/9 not equal to o?
True
Let q = -13 - -7. Is q smaller than -5?
True
Suppose 2*w + h = 2*h - 17, -5*h = 4*w + 55. Let c = -10 - w. Suppose 3*u = -5*j + 23, -4*u + 4*j - 19 = -7*u. Which is bigger: u or c?
u
Let r... | {
"pile_set_name": "DM Mathematics"
} |
p(s). Factor o(z).
4*z*(z - 3)
Let w(t) = -t**2 + 57*t + 102. Let i(y) = 43 + 47*y**2 + 161 - 48*y**2 + 114*y. Let j(q) = -4*i(q) + 7*w(q). Factor j(a).
-3*(a + 2)*(a + 17)
Suppose -5*i = -i + 12, 0 = 3*p - 4*i - 21. Factor -13*c**p + 41*c**3 + 160 + 960*c - 8*c**3 + 27*c**2 + 423*c**2 + 35*c**3.
5*(c + 4)**2*(11*c + ... | {
"pile_set_name": "DM Mathematics"
} |
t are the prime factors of 282188160?
2, 3, 5, 48991
What are the prime factors of 624882170?
2, 5, 11, 23, 61, 4049
What are the prime factors of 2642997674?
2, 4129, 320053
List the prime factors of 212696239.
7, 31, 37, 59, 449
What are the prime factors of 1405929681?
3, 13, 19, 632447
List the prime factors of 836... | {
"pile_set_name": "DM Mathematics"
} |
e -6*x - 6*a - 4*a = 620, -202 = -82541*x + 82546*x - 3*a + 6*a for x.
-5
Solve -s - 230 = 3*r - 182, 0 = 2*r - 5*s - 172 for r.
-4
Solve -8*f - 2720 = -4*k - 2628, 2*f - 35*k = -533 for f.
-4
Solve -10 = -3*b + 15*m - 31, -21 = -5*b + 9*b + 2*m + 51 for b.
-17
Solve -t - 2*r - r - 2768 + 2761 = 0, 62 = -6*t + 2*r for ... | {
"pile_set_name": "DM Mathematics"
} |
16, what is c9 - 3b?
8e
In base 3, what is 1 - -11102021?
11102022
In base 2, what is -10100111 - -10?
-10100101
In base 4, what is 20 + -130?
-110
In base 15, what is 210 - 2?
20d
In base 7, what is -64 + 1?
-63
In base 9, what is -82 + 4?
-77
In base 10, what is 10 + 362?
372
In base 15, what is 2 - -b0?
b2
In base 9... | {
"pile_set_name": "DM Mathematics"
} |
+ n for m.
2
Let b(h) = -h**2 + 642*h - 49188. Let u be b(89). Let q be (-2)/(-9) + (-196)/(-9). Solve 0 = u*w - 18*w - q for w.
2
Let t(x) = -17*x**3 + 2*x**2 - 1. Let i be t(-1). Suppose 5 = 15*m - 40. Suppose -m*w + 16 = h, -5*h - w = -48 - i. Solve -h = 3*z - 4 for z.
-3
Suppose 11*x - 2*a = 5*x + 710, 4*a = -28. S... | {
"pile_set_name": "DM Mathematics"
} |
349. Calculate n(6).
-2059
Let y(m) = -805*m - 15541. What is y(-19)?
-246
Let a(q) = 8962*q - 483916. What is a(54)?
32
Let q(g) = 320*g + 20439. Calculate q(-64).
-41
Let g(q) = 4174*q - 20875. Calculate g(5).
-5
Let p(k) = -3*k**2 + 82*k + 121. What is p(16)?
665
Let r(h) = 67*h**2 + 362*h - 56. What is r(-6)?
184
L... | {
"pile_set_name": "DM Mathematics"
} |
(d) = 3528*d - 3870. Let n(y) = 34*y + 45*y + 28*y - 35*y - 79. Let i(o) = 2*h(o) - 99*n(o). Find the first derivative of i(x) wrt x.
-72
Let k = 4901 - 4892. Let x be ((-12)/(-2 + -1))/2. Find the second derivative of -k*b**x + 40*b**2 + b - 29 + 23*b**2 - 3*b wrt b.
108
Let f(s) be the third derivative of 4007*s**5/6... | {
"pile_set_name": "DM Mathematics"
} |
44 - -55.19696. Let s = c + 0.0076. Round s to the nearest 10.
60
Let n = -29993 + 57763. Suppose 2*y = 175770 - n. Suppose 11*k - y = k. Round k to the nearest 1000.
7000
Let v = -823 - -1166. Let b = v + -342.99999654. Round b to seven dps.
0.0000035
Let v = 2275 + 146. Let p = -2475.56 + v. Let x = -52 - p. Round x ... | {
"pile_set_name": "DM Mathematics"
} |
e first derivative of d**2/2 - 3*d - 2. Let s(x) = -x + 8. Let o be s(-12). Suppose 5*a = -2*t - 2*t + o, 8 = 2*a - 4*t. What is q(a)?
1
Let b(i) be the first derivative of 7*i**2/2 - 2*i - 274. What is b(-5)?
-37
Let z(j) = 5*j + 27. Let l be z(-6). Let s(y) = y. Let i be s(l). Let n(w) = w**2 + 7*w + 13. Let x be n(i... | {
"pile_set_name": "DM Mathematics"
} |
- -10. Is t even?
True
Suppose 2*x - 7*x = -60. Let o = -3 + x. Let r = 14 - o. Is r a multiple of 2?
False
Let o(w) = w**2 - 7*w - 6. Let l be 74/8 - (-2)/(-8). Is 4 a factor of o(l)?
True
Let s = 18 + -45. Let n = s - -68. Let p = 4 + n. Is p a multiple of 18?
False
Let d(y) = 8*y - 1. Is d(23) a multiple of 23?
Fals... | {
"pile_set_name": "DM Mathematics"
} |
(41 - 209))
50
Evaluate 9 + -5 + -2 - (-17 - (10 - 14)).
15
Calculate 3 + 10 + -5 + (-361 - -353).
0
Calculate 130 + (43 - (-130 - -416)).
-113
Calculate 16 - (70 + 51 + -99).
-6
Calculate (12 - -9) + -14 - -19 - ((0 - 3) + -7).
36
Evaluate 6 + -14 - (-53 + 1 - -150 - (0 + 10)).
-96
Calculate -5 - (17 + 24 + (16 - 33)... | {
"pile_set_name": "DM Mathematics"
} |
d without replacement from yfufjrm.
2/21
Two letters picked without replacement from {t: 3, a: 7, w: 3}. Give prob of picking 1 a and 1 w.
7/26
Calculate prob of picking 2 a and 2 n when four letters picked without replacement from nnanaaannnn.
21/55
What is prob of picking 1 v, 1 f, and 1 h when three letters picked w... | {
"pile_set_name": "DM Mathematics"
} |
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