text stringlengths 270 8.19k | meta dict |
|---|---|
s be x(-5). Let p be (68/s)/(1/5). Suppose -f + p = -0. Let b(a) = 6*a**2 + 2*a + 4. Calculate f*h(t) - b(t).
-2*t**2 + 2*t
Let f(z) = -2*z + 21. Let s(g) = 8 + 7 + 22 - g - 26. What is -4*f(y) + 7*s(y)?
y - 7
Let l(i) = -229*i - 4. Let y(m) = -53*m - 1. Let s(z) = 2*l(z) - 9*y(z). Let g(h) = -13*h - 1. Determine -7*g(... | {
"pile_set_name": "DM Mathematics"
} |
- w**2/2 - 3*w + 2. Let k(b) be the first derivative of c(b). Factor k(s).
(s - 1)*(s + 1)**3
Let u be 14*3*3/(-36). Let i = u + 23/6. Factor i*m**3 + 1/3*m**2 - 1/3*m - 1/3.
(m - 1)*(m + 1)**2/3
Let a(o) be the second derivative of 0 - 2*o + 0*o**2 + 3/20*o**5 + 1/2*o**4 + 1/2*o**3. Solve a(d) = 0.
-1, 0
Suppose -7 =... | {
"pile_set_name": "DM Mathematics"
} |
s of 2395149.
3, 798383
What are the prime factors of 2152408?
2, 43, 6257
What are the prime factors of 1807882?
2, 17, 53173
List the prime factors of 224136.
2, 3, 11, 283
List the prime factors of 432757.
13, 33289
What are the prime factors of 685128?
2, 3, 28547
What are the prime factors of 832338?
2, 3, 13, 355... | {
"pile_set_name": "DM Mathematics"
} |
*n. Let g(r) = 6 + 3*r + 4*r + r. Let y(i) = 23*i + 17. Give n*g(m) - 6*y(m).
-2*m
Let z(g) = g - 1. Let r(y) = -12*y**2 - 6*y + 3. Give r(k) + 4*z(k).
-12*k**2 - 2*k - 1
Let v(n) = -1. Let b(r) = 15*r**2 + 2*r - 4. Give -b(o) + 3*v(o).
-15*o**2 - 2*o + 1
Let f = -1630 - -1632. Let r(m) = -3*m**2 + 2*m + 1. Let d(o) = ... | {
"pile_set_name": "DM Mathematics"
} |
20*u**2.
-36*u**2
Expand (y - 5*y + 5*y)*((-2*y + 5*y - 2*y)*(4 + 0 - 3) + y - 3*y + 0*y).
-y**2
Expand (0 + 0 - v)*(17 + 8 - 16)*(v + 2*v - 2*v).
-9*v**2
Expand (2*s**3 - s**3 - 3*s**3)*(-2 + s**2 + 2) + (1 - 4*s**2 - 1)*(-5*s**3 + 3*s**3 + s**3).
2*s**5
Expand (4*r**2 + 2*r**2 - 5*r**2 + (3*r + 4*r + 3*r)*(1 - 1 - r)... | {
"pile_set_name": "DM Mathematics"
} |
Let g be (-3 + 2)*1 - c. Let j be (-1 - (-1 + 1))*g. Is 1/32 < j?
False
Let u = -1546 + 109764/71. Let r = -24229 + 24228. Which is greater: u or r?
u
Let l(s) = 2*s**3 + 5*s**2 - s - 2. Let p be l(2). Let z be 8/p + 3/(-12). Which is smaller: -2/1975 or z?
-2/1975
Suppose -102 = 8*y - 21*y - 882. Which is bigger: y or... | {
"pile_set_name": "DM Mathematics"
} |
.25 - 7.22. Let x = v + -0.03. Sort -0.5, x, -0.3 in decreasing order.
x, -0.3, -0.5
Suppose 3*y + 10 = 2*v + 3, -y + 3*v - 7 = 0. Put -3, -2, y in descending order.
y, -2, -3
Let m = -0.15 + 0.25. Sort -1/4, m, 4 in descending order.
4, m, -1/4
Let m = 16.24 + -0.24. Let t = m + -14. Let g = 0 - 1. Put -0.1, t, g in d... | {
"pile_set_name": "DM Mathematics"
} |
alue in k, 3, p?
p
Let m = 64.969 - -0.031. Let u = 64.9 - m. What is the biggest value in 5, -8, u?
5
Let l = -135 + 134.2. Which is the second biggest value? (a) 3 (b) l (c) -4
b
Let w = 26 - 22. Let q = -10.3 - 0.7. Let b = q - -8. What is the biggest value in w, b, -2/9?
w
Let q = -14.774 + -0.026. Let u = 15 + ... | {
"pile_set_name": "DM Mathematics"
} |
7 PM?
663
How many minutes are there between 9:23 PM and 12:38 AM?
195
How many minutes are there between 1:59 AM and 8:27 AM?
388
What is 538 minutes after 12:49 AM?
9:47 AM
How many minutes are there between 5:06 PM and 4:23 AM?
677
What is 630 minutes after 2:40 AM?
1:10 PM
What is 453 minutes after 6:40 AM?
2:13 PM... | {
"pile_set_name": "DM Mathematics"
} |
(-280) - -69) + 5/104?
1/8
What is 104/(-130) - ((-18)/333 - 27126/3330)?
37/5
Evaluate ((-6)/10*(-55)/1364)/(3*2/(-4)).
-1/62
What is (-48)/272 - (17556/(-646) - 25)?
52
Calculate ((-192)/(-9))/8 - 2486/3729.
2
Calculate 598/(-52) + (-429)/(-66) + 21.
16
What is the value of 224/(13216/(-3363))*(-2)/(-6)?
-19
3003/171... | {
"pile_set_name": "DM Mathematics"
} |
*2.
4*i**2
Collect the terms in 11 - 16 + q + 0*q - 25.
q - 30
Collect the terms in -18602*p**3 + 37207*p**3 - 18603*p**3.
2*p**3
Collect the terms in 5*w + 183*w**3 - 3*w + 7*w**3.
190*w**3 + 2*w
Collect the terms in -10*k - 144 + 10*k - 9*k**3.
-9*k**3 - 144
Collect the terms in 86*j**2 - 16*j**2 - 3*j**3 + j**3.
-2*... | {
"pile_set_name": "DM Mathematics"
} |
ich is greater: f or m?
f
Let o = -319 - -93. Let t = o - -220. Which is smaller: t or 2/3?
t
Let r be (-6264)/(-928) + 1/(8/(-6)). Suppose 6*q - 34 + 232 = 0. Which is bigger: r or q?
r
Let v be 1/2 - (-3)/(-6). Suppose v = -7*m - 685 + 90. Is -82 at most m?
False
Let p = -1753 - -976. Let c be p/(-27) - -5 - (-2)/9. ... | {
"pile_set_name": "DM Mathematics"
} |
t is the remainder when 16 is divided by t(4)?
1
Let q be (400/15)/(-5)*39. Let g = q + 216. Calculate the remainder when 68 is divided by g.
4
Suppose 2*o - 175 = -3*t, -5*t - 291 = -5*o + 2*o. Suppose 4*b + 35 = -21. Let q(l) = 8*l + 144. What is the remainder when o is divided by q(b)?
28
Suppose 0 = 7*u - 235 - 94.... | {
"pile_set_name": "DM Mathematics"
} |
. What is the nearest to -0.1 in v, -4, -6?
v
Let d = -11/6 - -13/6. Which is the closest to 1? (a) 3 (b) -3 (c) d
c
Let w = -2187 - -2185. What is the nearest to w in -2/3, -77, -0.3?
-2/3
Let h be ((-75)/500)/(12/10). Let n = 2 + -1. What is the closest to n in h, -0.2, 0.1?
0.1
Let j(w) = w**3 + w**2 - 2*w - 5. L... | {
"pile_set_name": "DM Mathematics"
} |
d**2 + 1 - 1)*(6 + d**2 - 6).
-52*d**4 - 4*d
Expand (-3*l - l + 2*l)*(0 + 1 + 1) - 3 + 2*l + 3 + 4*l - 10 - 8*l + 2*l.
-4*l - 10
Expand (-3*m + 3*m + m)*(-4*m**4 - 10 + 3*m**4 + 0 + 2*m).
-m**5 + 2*m**2 - 10*m
Expand (-5 + 1 + 1)*(3*v + 5*v - 5*v).
-9*v
Expand (-5 + 11 - 24)*(-1 + m + 1).
-18*m
Expand (2 + 0 - 1)*(-j -... | {
"pile_set_name": "DM Mathematics"
} |
t u(l) be the first derivative of -l**3 + 1. Let g(i) = -2 + 29*i - 6*i + 2 - 20*i. Give u(g(b)).
-27*b**2
Let g(j) = -6*j. Let f(t) be the second derivative of -t**4/12 - 8*t**3/3 + 72*t. What is f(g(m))?
-36*m**2 + 96*m
Let w(s) = 15 - 11 + 316*s**2 - 325*s**2. Let u(z) = -4*z**2. Determine u(w(r)).
-324*r**4 + 288*r... | {
"pile_set_name": "DM Mathematics"
} |
the nearest integer?
27
What is the eighth root of 430 to the nearest integer?
2
What is 3678 to the power of 1/6, to the nearest integer?
4
What is the cube root of 9593 to the nearest integer?
21
What is 950 to the power of 1/2, to the nearest integer?
31
What is 5711 to the power of 1/3, to the nearest integer?
18
... | {
"pile_set_name": "DM Mathematics"
} |
03
-25618 divided by 20
-12809/10
946429 divided by -1067
-887
882700 divided by -970
-910
Calculate 2264649 divided by 3.
754883
Calculate -749 divided by 1744.
-749/1744
Divide 167 by -2127.
-167/2127
276690 divided by 46115
6
What is -170 divided by 3405?
-34/681
Calculate 0 divided by 24136.
0
Calculate 1165882 div... | {
"pile_set_name": "DM Mathematics"
} |
o the form s*m**3 + k*m**2 + v + b*m and give s.
18
Rearrange 15*r**3 + 7139*r**2 + 2*r - 7139*r**2 - 3 to f + w*r**2 + k*r + u*r**3 and give f.
-3
Express -12*c**2 - 195*c**2 + 11*c**2 in the form x*c + k*c**2 + f and give k.
-196
Express -922 + 4588*p**2 - 2291*p**2 - 2295*p**2 as k*p + d*p**2 + m and give m.
-922
Ex... | {
"pile_set_name": "DM Mathematics"
} |
?
-2
Calculate -525 divided by 119565.
-35/7971
-152 divided by -1243633
152/1243633
What is 3 divided by -24328780?
-3/24328780
What is 78850151 divided by -1?
-78850151
What is 48 divided by 7659277?
48/7659277
Calculate -58 divided by 211439.
-2/7291
Divide 30753920 by 1856.
16570
What is -265 divided by -27734?
265... | {
"pile_set_name": "DM Mathematics"
} |
86. Calculate the smallest common multiple of m and 6.
114
Let t(h) = -15*h**3 + 21*h**2 - 2*h - 13. Let c(l) = -7*l**3 + 10*l**2 - l - 6. Let z(m) = 13*c(m) - 6*t(m). What is the least common multiple of 10 and z(2)?
30
Let x = 350 + -246. Calculate the least common multiple of x and 9.
936
Let z be (-2)/(-1)*(2 + -1)... | {
"pile_set_name": "DM Mathematics"
} |
3 = 0 for x.
-5
Let l(j) = j**3 + j**2 + 5*j + 2. Let k(v) = -v**3 - 8*v**2 + 8*v - 9. Let p be k(-9). Let s be l(p). Solve -q - 22 = 2*i + s*i, -q - 3*i - 17 = 0 for q.
-2
Let q = -49 - -19. Let l be 22/10 + (-24)/q. Suppose -l*m + 0 + 2 = -h, -4*m + 5*h - 12 = 0. Solve 4*s = 5*j + 23, -m*s - 2 = 3*s + 4*j for s.
2
Le... | {
"pile_set_name": "DM Mathematics"
} |
9)*(-1)/(-9)*6. Which is the third biggest value? (a) 0.2 (b) q (c) -0.4 (d) 2
b
Let x = 31054.013 - 31054. Which is the second smallest value? (a) x (b) -95 (c) -2
c
Suppose 7 = w - 3*j, 0 = -2*w + 5*j - 2*j + 5. Let y be 2 - -5*w/6. Let l = -310 + 318. Which is the smallest value? (a) l (b) y (c) 4
b
Let i ... | {
"pile_set_name": "DM Mathematics"
} |
20052 is divided by 911?
10
Calculate the remainder when 19057 is divided by 794.
1
Calculate the remainder when 72007 is divided by 7.
5
Calculate the remainder when 39512 is divided by 3578.
154
Calculate the remainder when 6424 is divided by 2324.
1776
Calculate the remainder when 10636648 is divided by 667.
666
Cal... | {
"pile_set_name": "DM Mathematics"
} |
s -52 + -1043423?
-1043515
In base 9, what is 552 - -66?
628
In base 7, what is 411340 + 50?
411420
In base 14, what is -12db - -4?
-12d7
In base 10, what is -994 - 1281?
-2275
In base 2, what is -1110100001000000 + -111?
-1110100001000111
In base 9, what is 31 + -6361?
-6330
In base 15, what is -2cc2 + 2?
-2cc0
In bas... | {
"pile_set_name": "DM Mathematics"
} |
ed without replacement from {h: 2, z: 1, w: 1, i: 4, u: 1, b: 6}. What is prob of sequence bwbz?
1/1092
Four letters picked without replacement from dopmoppmom. What is prob of sequence mdmo?
1/280
Calculate prob of sequence cr when two letters picked without replacement from {c: 2, r: 3, n: 1, h: 1, s: 1, x: 4}.
1/22
... | {
"pile_set_name": "DM Mathematics"
} |
152 for b.
-2
Let m = 353 - 345. Let y be (-46)/m*-2 + 41/82. Solve -y = -4*q + 8*q for q.
-3
Let d be (-1068)/(-24)*-12*2/(-6). Let h = d + -173. Solve 3*l = h*l + 4*l for l.
0
Suppose -4*s - 84 = -5*b, -19*b + 24*b = 3*s + 88. Solve -122 = -b*u - 262 for u.
-7
Suppose -a - 2*z - z + 3 = 0, -a = z + 1. Let m be 0 + 1... | {
"pile_set_name": "DM Mathematics"
} |
. Let k be (1 + h)*15/(-10). Let l(v) = v**3 - 4*v**2 + 4*v - 3. Give l(k).
0
Let i(u) be the third derivative of u**6/720 - u**5/40 + u**4/24 + u**2. Let o(q) be the second derivative of i(q). Let z = 1049 + -1052. Determine o(z).
-6
Let r = -82 + 121. Let p = r - 29. Let g(h) = -2*h + 14. Calculate g(p).
-6
Suppose -... | {
"pile_set_name": "DM Mathematics"
} |
picking 1 x and 2 m when three letters picked without replacement from cvxxvmvvvxmv?
3/220
What is prob of picking 3 e when three letters picked without replacement from {e: 3, i: 4}?
1/35
Two letters picked without replacement from cccccuuuuu. What is prob of picking 2 u?
2/9
Two letters picked without replacement fro... | {
"pile_set_name": "DM Mathematics"
} |
the prime factors of n.
2, 1949
Let m be (-8 - -558) + 4 + (-6 - -3). Let q = -214 + m. List the prime factors of q.
337
Let z(k) = 2037*k**2 + 88*k - 444. What are the prime factors of z(4)?
2, 5, 13
Suppose -5*h + 41 = -569. Let f = h - 136. Let m(a) = a**2 + a - 2. List the prime factors of m(f).
2, 3, 5
Let w = 105... | {
"pile_set_name": "DM Mathematics"
} |
site number?
True
Is 981630229 a prime number?
True
Is 118638491 prime?
False
Is 30542011 a composite number?
False
Is 155371 a prime number?
True
Is 657911 a composite number?
False
Is 334080337 prime?
True
Is 31525247 composite?
True
Is 5661823 a composite number?
False
Is 8291443 prime?
True
Is 3348223 composite?
Fa... | {
"pile_set_name": "DM Mathematics"
} |
ues?
True
Let h be 2952/(-1672) - (-14)/(-266). Which is smaller: -21 or h?
-21
Let x(t) = -t**3 + t + 3. Let q be x(0). Suppose q*r + 70 = -2*r. Let w(o) = o + 30. Let i be w(r). Is i at most as big as 16?
True
Let u(x) = x**2 + 9*x + 6. Let i be u(-7). Let m be ((-3)/6)/(2/i). Let j(q) = q**3 - 9*q**2 + 9*q - 5. Let ... | {
"pile_set_name": "DM Mathematics"
} |
3 + 1/180*p**4 + 0 - 3*p**2. Factor t(r).
2*r*(r + 1)**2/15
Factor 3*k**5 - 9*k**5 + k**5 + 5*k**3.
-5*k**3*(k - 1)*(k + 1)
Let j(z) = 2*z**2 + 4*z + 3. Let p be j(-3). Let h be (-3)/(-15) - p/(-5). Factor -2/7 - 4/7*n - 2/7*n**h.
-2*(n + 1)**2/7
Let h(j) = -2*j**3 + 2*j**2 + 6*j**4 - 3*j**4 - 2*j**4 - j**3. Let d(c) =... | {
"pile_set_name": "DM Mathematics"
} |
rom zyvawyr. Give prob of picking 1 r and 1 v.
1/21
Calculate prob of picking 2 v, 1 l, and 1 x when four letters picked without replacement from slixv.
0
Four letters picked without replacement from {n: 1, s: 4, v: 1, u: 2}. Give prob of picking 3 s and 1 n.
2/35
What is prob of picking 2 k and 1 y when three letters ... | {
"pile_set_name": "DM Mathematics"
} |
closest to i? (a) -3 (b) -0.5 (c) 0
a
Let i be (-11)/(-2) + (-7)/14. Suppose i*v - 37 + 7 = 0. Let l = -2.92 - 0.08. Which is the nearest to -1? (a) v (b) l (c) 3
b
Let p = 419 + -422. Which is the nearest to -1/7? (a) p (b) 5/3 (c) -2 (d) 1/4
d
Let n(i) = 2*i - 6 - 3*i**2 + 0*i + 3 + 4. Let y be n(-1). Whic... | {
"pile_set_name": "DM Mathematics"
} |
i**2 - z + 24 wrt i.
-24
Let n(f) be the second derivative of -f**5/12 - 7*f**4/12 + 6*f**2 + 4*f. Let k(y) be the first derivative of n(y). What is the second derivative of k(a) wrt a?
-10
Let v(c) be the second derivative of -83*c**6/15 - 3*c**2/2 + 168*c. Find the first derivative of v(q) wrt q.
-664*q**3
Let x(n) =... | {
"pile_set_name": "DM Mathematics"
} |
-2*z**2 + 551*z + 562. Let p(i) = 15*i**2 - 3860*i - 3935. Let r(o) = -3*p(o) - 20*y(o). Determine m, given that r(m) = 0.
-1, 113
Determine o, given that 815*o + 2*o**4 + 783*o**3 - 343*o - 116*o**2 - 805*o**3 - 336 = 0.
-6, 1, 2, 14
Suppose -5*w = 4*b - 30, -4*w + 13 = 5*b - 11. Suppose -13*y + 28 = y. Factor 2*i**3 ... | {
"pile_set_name": "DM Mathematics"
} |
= 8*d(a) - 3*n(a). Let w(b) = 5*b - 1. Calculate x*w(q) - 5*s(q).
-5*q - 2
Let s(t) = 10*t - 15. Let d(z) = -20*z + 26. Let g(o) = -3*d(o) - 5*s(o). Let n(h) = -h + 1. Determine g(l) + 3*n(l).
7*l
Let h(r) = -4*r + 109. Let u(o) = 3*o - 110. What is -5*h(s) - 6*u(s)?
2*s + 115
Let a(f) = 554*f - 8. Let g(z) = 38226*z -... | {
"pile_set_name": "DM Mathematics"
} |
302 - 34/21. Let w = -55/434 + i. Which is the nearest to 21? (a) w (b) d (c) 3
c
Let v = 312 - 310. Which is the nearest to -1? (a) -0.4 (b) v (c) -7
a
Let s(t) = -t**3 - 2*t + 1. Let p be s(1). Let x be 13 + (-5 - p)/(6/(-4)). Let z be (3 + (-66)/18)/(2/x). Which is the closest to -1? (a) 1/4 (b) 0.3 (c) z
a... | {
"pile_set_name": "DM Mathematics"
} |
dyp?
1/126
Four letters picked without replacement from {i: 11, f: 5}. Give prob of sequence iifi.
165/1456
What is prob of sequence fmf when three letters picked without replacement from {f: 19, m: 1}?
1/20
Two letters picked without replacement from ulullllluulllululll. Give prob of sequence lu.
13/57
What is prob of... | {
"pile_set_name": "DM Mathematics"
} |
nits digit of 163283?
3
What is the hundred thousands digit of 24208729?
2
What is the hundred thousands digit of 6281391?
2
What is the millions digit of 8639246?
8
What is the hundreds digit of 267477?
4
What is the thousands digit of 606623?
6
What is the hundreds digit of 14590653?
6
What is the hundred thousands d... | {
"pile_set_name": "DM Mathematics"
} |
Give b(s).
1
Let r(y) be the first derivative of y**6/120 + 2*y**5/15 + y**4/24 + y**3/6 + 6*y**2 + 5. Let k(d) be the second derivative of r(d). Determine k(-8).
-7
Let n(x) = 326*x**2 - 643*x**2 + 326*x**2 - x. Calculate n(1).
8
Let w(k) = k**3 - 6*k**2 + 5*k. Let i be (-3)/(-1)*-166*3/18. Let j = 88 + i. Calculate ... | {
"pile_set_name": "DM Mathematics"
} |
vided by 25.
13
What is the remainder when 374 is divided by ((-11)/(495/1152))/(8/(-20))?
54
Suppose 3*r = 5*g - 238, 4718*g - 4723*g + 216 = -r. Suppose -4*h = h - 35. Calculate the remainder when g is divided by h.
6
Calculate the remainder when (2452/7)/1 + (216/28 - 8) is divided by 168.
14
Let g(x) = 64*x**3 - x*... | {
"pile_set_name": "DM Mathematics"
} |
+ 26884 = -83348 - 6008. List the prime factors of p.
2, 1453
Let j be (((-72)/(-10))/(-3))/((-3)/75). Suppose -58*s = -j*s + 308. List the prime factors of s.
2, 7, 11
Suppose -100 + 562 = -7*b. Let h = b - -214. Suppose 3*d - 5*d = -h. List the prime factors of d.
2, 37
Let s = 648 - 1161. Let z = 834 + s. List the ... | {
"pile_set_name": "DM Mathematics"
} |
east common multiple of -12 - 1*(-21 + (-3 - -11)) and (115/(-2) - r)*-2?
113
Suppose -5*b = -b + 60. What is the lowest common multiple of ((-1)/2)/((-2)/96) and 30/(-12) + 2 + b/(-2)?
168
Let j = 5592 + 7133. Let z be 3 + (-1)/(1360/j). Let i = -56/17 - z. What is the common denominator of -85/18 and i?
144
Suppose d... | {
"pile_set_name": "DM Mathematics"
} |
246 = 807, o + 3*h - 97 = 0. Let c = -70 + o. Is c prime?
False
Suppose -2*g + 376 = -94. Is g composite?
True
Let q(j) be the first derivative of -j**4/4 + 3*j**3 + 5*j**2 + j - 3. Is q(7) composite?
True
Let k = -8 + 13. Suppose 0*z - 5 = 5*z, k*w + z - 114 = 0. Is w prime?
True
Let v(y) be the second derivative of ... | {
"pile_set_name": "DM Mathematics"
} |
+ 4. Let s(g) = -137*g**3 + 13*g**2 - 2*g + 6. Let f(m) = 7*i(m) - 5*s(m). What is the units digit of f(1)?
7
Suppose 16*w - 6*w = 0. Suppose -3*y - x = -w*x - 758, -3*x + 1004 = 4*y. What is the tens digit of y?
5
Suppose 0 = 3*g + 2*n + 7, -g + 2*n + 0*n = 5. Let z be (120/(-100))/(g/10). What is the tens digit of (... | {
"pile_set_name": "DM Mathematics"
} |
second biggest value in 1, 1/4, -126.11, 0.4, -1/8, 5?
1
What is the fourth smallest value in -0.02, 23/60, -3, -0.3, 4/5?
23/60
Which is the fifth biggest value? (a) 0.3 (b) -4/9 (c) -18 (d) 0.001 (e) -2
c
What is the third smallest value in 377, -33, -3?
377
What is the biggest value in 8, 0, -85?
8
Which is th... | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 1 d and 1 s.
1/17
Two letters picked without replacement from {w: 2, x: 2, h: 1, l: 1, k: 8, b: 1}. What is prob of picking 1 w and 1 l?
2/105
Four letters picked without replacement from {f: 1, j: 1, v: 2, m: 1, h: 6, w: 4}. What is prob of picking 1 v, 1 f, 1 h, and 1 m?
4/455
What is prob of picking ... | {
"pile_set_name": "DM Mathematics"
} |
n(v) be the second derivative of -v**3/6 + v. Let k be -2 - (78/(-65) - 2/(-10)). Let o(g) = -11*g + 2 - 1 + 24*g - 9*g. Calculate k*o(j) - 2*n(j).
-2*j - 1
Let d = -130 + 129. Let y(k) = k - 1. Let f(w) = -7*w + 6. Give d*f(n) - 6*y(n).
n
Let a = -2 + 3. Let r(p) = 7 + 4*p - 3*p + p. Let n(x) = -17. Let z(u) = 8. Let ... | {
"pile_set_name": "DM Mathematics"
} |
ulate the remainder when 136 is divided by h.
21
Let r(d) = 2*d + 25. Let i be r(-6). Suppose 286 = i*v + 78. What is the remainder when 75 is divided by v?
11
Suppose 0*c + 423 = -4*c + k, 4*k = -5*c - 534. Let j = -75 - c. Suppose 11 = d - 0*d. What is the remainder when j is divided by d?
9
Let z = 191 - 131. Suppos... | {
"pile_set_name": "DM Mathematics"
} |
tiple of 2 and (12/30)/(f/(-50)).
10
What is the smallest common multiple of 6 and 1630/8 - 9/(-36)?
204
Suppose w - 2 = 2*w. Let j = w + -3. Let a(q) = -q**3 - 6*q**2 - 7*q - 2. Calculate the least common multiple of a(j) and 6.
24
Let x be 404/(-20 - (1 - 0)). Let v = 10085/462 + x. Calculate the common denominator o... | {
"pile_set_name": "DM Mathematics"
} |
4, -4892, -5288, -5772?
-44*l**2 - 4188
What is the d'th term of -2584, -10342, -23274, -41380, -64660, -93114, -126742?
-2587*d**2 + 3*d
What is the u'th term of 1106, 1196, 1276, 1340, 1382, 1396?
-u**3 + u**2 + 94*u + 1012
What is the g'th term of 1499, 1526, 1553, 1580, 1607?
27*g + 1472
What is the v'th term of 12... | {
"pile_set_name": "DM Mathematics"
} |
t(2200) - (sqrt(2200) + (sqrt(2200) - (2*sqrt(2200) - sqrt(2200)))*3 + sqrt(2200)))*-3)/(-3*3*sqrt(2) - sqrt(16)/(3*sqrt(8))).
-45*sqrt(11)/14
Simplify 3 + (2*(2*sqrt(3) + sqrt(3))**2*-2 + 5 + sqrt(3)*1 + -3)*6.
-633 + 6*sqrt(3)
Simplify (sqrt(190) + -5*(sqrt(190) + (sqrt(190) - (sqrt(190) - sqrt(190)*-2 - sqrt(190))))... | {
"pile_set_name": "DM Mathematics"
} |
ng o is positive.
o**(2143/774)
Simplify ((s**(2/7))**(6/5)/((s**(-1/2)/s)/s*s*((s/(s/(s/(s/(s/s**(3/4))))))/s)/s))/((s*s/s**1*(s**(-5)*s)/s)/(s**3/(s*s/(s**5/s)*s))) assuming s is positive.
s**(1623/140)
Simplify ((m**(1/37)/m)/(m*m/(m*m*m**(-7/9))*m))/(m**(-6/7)*m**(2/85)) assuming m is positive.
m**(-379852/198135)
... | {
"pile_set_name": "DM Mathematics"
} |
m**2. Factor x(p).
(p + 36)**2/4
Let p(z) be the second derivative of z**6/15 - z**5/2 + 5*z**4/6 + 5*z**3/3 - 6*z**2 + z - 6. Solve p(b) = 0 for b.
-1, 1, 2, 3
Suppose -70 - 44 = -55*i + 17*i. Factor 1/2*h**2 + h + 1/4*h**4 - 3/4 - h**i.
(h - 3)*(h - 1)**2*(h + 1)/4
Let l(i) be the third derivative of -i**5/36 - 5*i**... | {
"pile_set_name": "DM Mathematics"
} |
11 + ((-2380)/(-12))/(-17) - (-4)/6. Solve 5*z - 12*r = -17*r, 5*z - 4*r + 27 = n for z.
-3
Let r(u) = u**2 - 3*u + 2. Let l be r(0). Suppose -t - 2 = -2*q, -l*q = -5*t - 6*q + 18. Solve 3*b - 3 = 3*a, 5*b - t + 37 = -3*a for a.
-5
Suppose 0 = 3*s + 6*z - 120, 4*s + 26*z - 140 = 22*z. Solve -g - 3 = -2*i, -7 = 31*g - ... | {
"pile_set_name": "DM Mathematics"
} |
i to the nearest one million.
3000000
Let f = 1338.04181 + -1252.035433. Let r = f - 87.7063. Let h = 1.7 + r. Round h to 5 decimal places.
0.00008
Suppose -3*o - 4 = -1. Let l be (o + 32/12)/((-1)/3420). What is l rounded to the nearest 1000?
-6000
Let c be (-4)/(-4) + 2 + -25. Let u be 14/4 - (-11)/c. Suppose -3*g +... | {
"pile_set_name": "DM Mathematics"
} |
18 + s. Solve -3*k - 2*o + 2 + 5 = 0, l = -k + 2*o for k.
1
Let s be (-3808)/(-126) + 4/(-18). Let x = s + -2. Suppose x*q - 25*q = 120. Solve j + 45 = -3*j + 5*o, 5*j = 3*o - q for j.
-5
Let n be ((-7)/(42/76))/((-8)/12). Let l(j) = -j**3 + 20*j**2 - 19*j + 6. Let y be l(n). Solve -4*h + u - 5*u + 20 = 0, y = 4*h - 3... | {
"pile_set_name": "DM Mathematics"
} |
85?
False
Which is smaller: -19096 or -19060?
-19096
Is 1262117 at most 1262119?
True
Which is bigger: -3011 or 0.15?
0.15
Which is smaller: 23644/629 or 37?
37
Is 13927 < 13927?
False
Which is smaller: 0 or 8/10853?
0
Which is smaller: -2/719 or -2145?
-2145
Which is smaller: 188791.9 or 0.2?
0.2
Is 2339/397 <= 6?
Tru... | {
"pile_set_name": "DM Mathematics"
} |
Simplify (-4*(sqrt(132) - (sqrt(132) - (sqrt(132) + sqrt(132)*-2 + sqrt(132)))) - sqrt(132))/sqrt(12).
-sqrt(11)
Simplify (sqrt(28) + (sqrt(168) + 1*sqrt(168))/sqrt(6))/(sqrt(16)/(sqrt(16)/sqrt(4))).
3*sqrt(7)
Simplify (sqrt(70) + 2*sqrt(70)*-1 - sqrt(70))/(sqrt(10) + -5*sqrt(10)*-1 + sqrt(10)).
-2*sqrt(7)/7
Simplify ... | {
"pile_set_name": "DM Mathematics"
} |
when 74 is divided by v?
24
Let p(n) = -17*n**2 - 19*n - 10. Let c(j) = 8*j**2 + 9*j + 5. Let l(z) = 13*c(z) + 6*p(z). Let f = 18 - -6. Calculate the remainder when l(5) is divided by f.
22
Let c = 9 - 19. Let q = -22 - c. Let f = 25 + q. Calculate the remainder when 37 is divided by f.
11
Suppose 3*y - 15 + 45 = 3*d, ... | {
"pile_set_name": "DM Mathematics"
} |
for k.
0
Let g(n) = n + 13. Let p = 13 + -21. Let m = p - 5. Let x be g(m). Solve r + 2*r - 12 = x for r.
4
Let k be 8*(2 - 28/16). Suppose -22 = -3*p + k. Suppose -4*g - 11 = 4*a - 3, 3*a - 26 = 5*g. Solve 2*w = -p + a for w.
-3
Let b(i) = -16*i + 102. Let j be b(6). Let a(u) be the first derivative of -u**4/4 + 5*u*... | {
"pile_set_name": "DM Mathematics"
} |
Simplify ((k**11*k)**(-13/6)*(k**(1/23)/k)/(k**(-15)*k))**(-1) assuming k is positive.
k**(298/23)
Simplify (j**(-9)/(j*j*j**(-2)*j))/(j**8/j**(-3))*(j*j/j**3*j)/((j/(j**9*j))/j)*j**(-2)*(j/j**(-2/17))/j*j assuming j is positive.
j**(-202/17)
Simplify (p/p**(-7)*p*p**9*(p*p**(-5))/(((p*p**7/p)/p)/p))/((p**1)**(-6)*((p... | {
"pile_set_name": "DM Mathematics"
} |
+ 4*x(p)?
-53*p**2 + 4*p
Let m(f) = 11*f**2 + 17*f - 23. Let s = 5 + 1. Let o be -2 + s/(-3) + -13. Let g(c) = -4*c**2 - 6*c + 8. Suppose -3*j + 2 - 20 = 0. Give j*m(d) + o*g(d).
2*d**2 + 2
Let p(k) = -k**3 - k**2 + 1. Let w(u) = 25*u**3 + 4*u**2 + 9*u - 21. Let q(s) = -4*p(s) - w(s). Let i(o) = 5*o**3 + 2*o - 4. Give... | {
"pile_set_name": "DM Mathematics"
} |
j be o(13). Suppose -2*x = -4*n + 524, 2*n + 4*x - j*x - 262 = 0. Is n a multiple of 5?
False
Let h(m) = -m**3 + 15*m**2 + 43*m. Suppose -17*q + 260 - 5 = 0. Does 15 divide h(q)?
True
Let u be (-14)/91 + (-770)/65. Does 12 divide 1346*((-30)/u - 2)?
False
Let v = 2094 - 3056. Let w = v + 2343. Is w a multiple of 12?
Fa... | {
"pile_set_name": "DM Mathematics"
} |
value in -0.4, -3298, -1/4, 0.4, -2/3?
-1/4
What is the fourth biggest value in -0.5, 1, -15/1886, -4?
-4
What is the fourth smallest value in 1, -17.71, -0.2, 6?
6
Which is the third biggest value? (a) -0.06 (b) 86 (c) 0.93
a
What is the second biggest value in 2/17, 1/9, -5, -1/9, 56563?
2/17
What is the biggest v... | {
"pile_set_name": "DM Mathematics"
} |
t r = 28 + -58. Let p be r/(-9) + 2/3. Suppose -20 = 4*u, p*g = 3*u - u + 26. Is g a multiple of 3?
False
Let l = -13 + 8. Let y(s) = -6*s + 3. Let c(r) = -r. Let a(p) = l*c(p) + y(p). Does 8 divide a(-8)?
False
Let l(q) be the first derivative of q**6/360 - q**5/15 - 3*q**4/8 - 2*q**3/3 - 1. Let w(k) be the third deri... | {
"pile_set_name": "DM Mathematics"
} |
on denominator of 1/(-51)*(-996)/(-8) and (-10)/(-2)*-1 - (-803)/88?
136
Suppose 2*z + 3*z = x - 31, 5*z = 3*x - 73. Let u = 1762 - 1758. What is the lowest common multiple of u and x?
84
Let w = 81977/27872 - -24/871. What is the common denominator of -13/128 and w?
128
Suppose 0 = 16*k - 20*k - 20. Let g be k - (-7 +... | {
"pile_set_name": "DM Mathematics"
} |
- 363*t**2 - 575*t**2.
-1348*t**2
Collect the terms in 39*t**3 - 9*t**3 - 12*t**3 - 17*t**3.
t**3
Collect the terms in 10*z**2 - 13*z**2 + 11*z**2 + 7*z**2.
15*z**2
Collect the terms in -3690 + 3690 + 4*p**3.
4*p**3
Collect the terms in -3*k**2 - 12 + 9 + 13 - 10.
-3*k**2
Collect the terms in -60*k + 32*k - 4*k**2 + 28... | {
"pile_set_name": "DM Mathematics"
} |
he tens digit of 213010?
1
What is the tens digit of 32620?
2
What is the hundreds digit of 22489?
4
What is the tens digit of 10938?
3
What is the units digit of 334?
4
What is the thousands digit of 3536?
3
What is the units digit of 9327?
7
What is the hundreds digit of 732?
7
What is the hundreds digit of 1021?
0
W... | {
"pile_set_name": "DM Mathematics"
} |
-3)). Which is greater: 4/13 or b?
4/13
Let p = 5492/9 + -611. Which is greater: -2 or p?
p
Suppose -3*y + 49 - 13 = 0. Which is smaller: y or 11?
11
Let c be (2/4)/(8/16). Which is smaller: 6/5 or c?
c
Let v(t) = t**2 - 18*t + 24. Let h be 70/4 + (-15)/10. Let u be v(h). Which is bigger: -10 or u?
u
Let m(f) = 0*f + ... | {
"pile_set_name": "DM Mathematics"
} |
ween 8:11 PM and 10:43 PM?
152
How many minutes are there between 9:12 AM and 3:18 PM?
366
How many minutes are there between 3:17 PM and 1:41 AM?
624
How many minutes are there between 10:20 AM and 9:06 PM?
646
How many minutes are there between 4:33 PM and 4:01 AM?
688
How many minutes are there between 3:10 PM and 7... | {
"pile_set_name": "DM Mathematics"
} |
-3)/(-24)*0. Which is the nearest to 2/5? (a) 0.1 (b) -4 (c) k
a
Suppose -w = -2*s - 13, 0*w = 4*w + s - 34. Suppose 0 = -3*n + w, 6*z - z + 22 = 4*n. Let c = 5/8 + 1/8. What is the nearest to 0 in -1/5, z, c?
-1/5
Let g = -28 - -25. Let j = 75 + -73. Which is the nearest to -4? (a) 0.4 (b) j (c) g
c
Let u = 257 ... | {
"pile_set_name": "DM Mathematics"
} |
2/2 - 18476007*j - 12310722 = 0. What is j?
-2481, -2
Factor -4*c**2 - 2252*c - 13368.
-4*(c + 6)*(c + 557)
Solve 31*x**4/4 - 557*x**3/2 + 1842*x**2 + 12520*x + 800 = 0.
-4, -2/31, 20
Let -40*s**3/3 + 724*s**2/9 - 340*s/3 + 176/9 = 0. Calculate s.
1/5, 11/6, 4
Solve 2*o**3/19 - 544*o**2/19 - 51040*o/19 + 16262400/19 = ... | {
"pile_set_name": "DM Mathematics"
} |
- 5*n**2 + 3*n - 8. Let r be a(-6). What is the highest common divisor of r and w?
10
Let o be (-142)/(-14) + (-7)/49. Calculate the highest common divisor of 10 and o.
10
Suppose -2*s + 207 = -5*g - 25, 3*s - 371 = -4*g. Let d be 2*11*(-5)/(-10). What is the highest common factor of s and d?
11
Suppose 5*h - 325 = o +... | {
"pile_set_name": "DM Mathematics"
} |
est 10?
60
Let a = -199 + 198.999962. Round a to 4 decimal places.
0
Let r(c) = c**2 + 39*c + 27550000. Let v be r(0). Round v to the nearest one million.
28000000
Let r = 76.09998239 - 76.1. Round r to 6 decimal places.
-0.000018
Let u(v) = 8 + 0*v - 2 + 2*v - 5 - 2219997*v**2. Let h be u(-1). Let m be (-36)/54 + h/3.... | {
"pile_set_name": "DM Mathematics"
} |
6*k + 26*k. Solve -8 = k*l + 2*l for l.
-1
Let x = -32339 + 33217. Solve -870*s = -x*s - 32 for s.
-4
Suppose 126*k - 19982 = -321*k + 22483. Solve 16*l + 111 - k = 0 for l.
-1
Let d be (6/(-1))/(-1) + (-6)/(-66)*33. Solve -29 = 19*o + d for o.
-2
Let i be 1/((-33)/22 - (-805)/546). Let r be (24/(-14))/(2/(-49)). Let m... | {
"pile_set_name": "DM Mathematics"
} |
- 145 = 10*f - 12*f. Suppose m*w = 5*w + 72. Solve 3*j = 6, -j + w*j + 21 = -5*h for h.
-5
Suppose -214012*k + 266 = -213974*k. Let u = -8 - -13. Suppose 0 = u*z - 6 - 4. Solve -z*q + 1 = -5*i - 0*q, -k = 2*i - 3*q for i.
1
Suppose 0 = 4*o + y - 44, -46*o = -41*o - y - 46. Solve 2*p - 2*x + o = 0, -3 = 4*x - 7 for p.
-... | {
"pile_set_name": "DM Mathematics"
} |
4 = -h, -190 = 5*u + 2*n. Let x = u - -116. Calculate the greatest common factor of x and 10.
10
Let z(f) = -f**3 - 3*f**2 + 19*f + 129. Let k be z(-5). What is the greatest common divisor of k and 576?
12
Let b(p) = -558*p - 384. Let d be b(-3). Calculate the greatest common divisor of d and 160.
10
Let u(a) = 488*a +... | {
"pile_set_name": "DM Mathematics"
} |
08, 33017, 41426, 49835?
8409*g - 619
What is the o'th term of 207, 395, 569, 723, 851, 947?
-o**3 - o**2 + 198*o + 11
What is the o'th term of -1505, -1508, -1513, -1520, -1529, -1540, -1553?
-o**2 - 1504
What is the f'th term of 149540, 299078, 448604, 598112, 747596?
-f**3 + 149545*f - 4
What is the l'th term of 949... | {
"pile_set_name": "DM Mathematics"
} |
ppose 44 = -4*p + 8*p. Suppose 4*i + p = 43. Let n = 10 + -2. What is the greatest common factor of i and n?
8
Let f(t) = -t**3 + 2*t**2 + 2*t + 2. Let y be (-15)/(-4) - 3/4. Let z be f(y). Let b be 3 - (1 - z/1). Calculate the highest common factor of 7 and b.
1
Let r = 3 - 0. Suppose 13 = r*j - 17. Suppose -5*s = -25... | {
"pile_set_name": "DM Mathematics"
} |
l: 4, z: 2}. What is prob of picking 1 l and 1 z?
8/171
Four letters picked without replacement from {l: 1, u: 2, k: 2}. What is prob of picking 2 k and 2 u?
1/5
Calculate prob of picking 2 a when two letters picked without replacement from uzziiziaia.
1/45
Calculate prob of picking 1 u, 2 z, and 1 j when four letters ... | {
"pile_set_name": "DM Mathematics"
} |
/(-18))/17)/1)
-2
What is (60/(-10))/(216/(-684))?
19
10*-2*(-188)/47*2/10
16
Calculate 3/((-66)/11)*(-506)/(-11).
-23
(10/(-5))/((-2)/((-1)/(-2)*1))
1/2
Evaluate 2/(-3)*(-6)/16*688/(-3698).
-2/43
Calculate ((-14)/(-4))/(15*(-8)/48).
-7/5
(18*(-16)/(-432))/((-4)/(-6))*10
10
What is (42/(-15))/(35/(-10))?
4/5
3/(-150)*3... | {
"pile_set_name": "DM Mathematics"
} |
pose -2*l = 8, -4*x = -4*l + 2208 - 220. Let h = x - -61621/123. Let u(a) = -a**3 - a**2 - a - 6. Let y be u(-2). Is h <= y?
True
Let q(v) = -11 + 153*v - 78*v - 83*v. Let l be q(2). Let h = -2 + -26. Is h less than l?
True
Let u(r) = -18*r**2 + 121*r - 3. Let m be u(8). Is -181 < m?
False
Suppose -t = 6*w - 4*w - 4, 0... | {
"pile_set_name": "DM Mathematics"
} |
+ 10. Calculate k*d(n) - 2*l(n).
2*n + 1
Let z(s) = 9*s**3 - 9*s**2 - 11*s - 4. Let x(q) = -5*q**3 + 5*q**2 + 6*q + 2. Give 5*x(c) + 3*z(c).
2*c**3 - 2*c**2 - 3*c - 2
Let m(h) = 3*h + 4. Let t(c) = c + 8. Let l be t(-5). Let y(s) = s + 1. What is l*m(w) - 12*y(w)?
-3*w
Let j(t) be the third derivative of -t**5/30 + t**... | {
"pile_set_name": "DM Mathematics"
} |
63*z**2
Find the second derivative of -3599134*i**2*s**3 - i*s**3 - 2*i*s**2 + 59535*i*s + 6 wrt i.
-7198268*s**3
What is the first derivative of 16*m**2*x - 28*m**2 + 4*m - 2*x - 28461 wrt m?
32*m*x - 56*m + 4
What is the derivative of -2*f**4 - 22*f**3 - f**2 + 770*f - 1347689 wrt f?
-8*f**3 - 66*f**2 - 2*f + 770
Wha... | {
"pile_set_name": "DM Mathematics"
} |
it of b?
5
Let f be (-31425)/(-25) - (-1 + (-2 - -2)). Suppose f = 5*t - 12. What is the hundreds digit of t?
2
Let o be (-3 - (-260)/15)*60. Suppose 3*z = -p + 635, -4*z = -2*p + 6*p - o. What is the hundreds digit of z?
2
Let x(l) = -2*l + 21. Let b be x(11). Let h be (255 + b)*(14/4 - 3). Let z = -52 + h. What is th... | {
"pile_set_name": "DM Mathematics"
} |
nd 12:18 AM?
456
What is 559 minutes after 2:12 AM?
11:31 AM
What is 552 minutes before 8:18 AM?
11:06 PM
What is 171 minutes after 9:17 AM?
12:08 PM
How many minutes are there between 9:59 AM and 11:49 AM?
110
What is 634 minutes before 2:06 PM?
3:32 AM
What is 387 minutes before 4:35 AM?
10:08 PM
What is 186 minutes ... | {
"pile_set_name": "DM Mathematics"
} |
7)
Simplify (g**(3/4))**(7/2) assuming g is positive.
g**(21/8)
Simplify g*g/(g*g*g**(2/3))*g*g*g*g/(g/g**(1/2))*g/((((g/g**(-1/9))/g)/g*g)/g)*g*g*((g**(1/3)/g)/g)/g assuming g is positive.
g**(73/18)
Simplify h**(-6)/h**(-2/35) assuming h is positive.
h**(-208/35)
Simplify v**18*v*v**(-1/8) assuming v is positive.
v**... | {
"pile_set_name": "DM Mathematics"
} |
576979.3
Convert 8.572013 micrometers to nanometers.
8572.013
How many milliseconds are there in 2103.299 hours?
7571876400
Convert 38296.68 weeks to seconds.
23161832064
Convert 848.184 months to years.
70.682
What is 1/20 of a litre in millilitres?
50
How many months are there in twenty-seven quarters of a year?
81
H... | {
"pile_set_name": "DM Mathematics"
} |
1 - (-12)/(-16)). Suppose 0 = -9*c - u*c. Solve z + 0*z - 4*j = -5, 3*z - 4*j + 15 = c for z.
-5
Suppose 21*q - 12*q = 0. Suppose -5*y + 5*j - 8 - 2 = 0, 19 = 3*y + 2*j. Suppose -y*g = 2 - 17. Solve -g*p - t + 8 = q, -p + 2*t + 13 = 6*t for p.
1
Suppose -4*i + 18 = 134. Let h be 5 - (30/35)/((-6)/(-273)). Let c = i - h... | {
"pile_set_name": "DM Mathematics"
} |
3*(q - 1)*(q + 227)
Determine o so that o**4/5 - 11*o**3/5 + 24*o**2/5 + 36*o/5 = 0.
-1, 0, 6
Factor -x**4 + 10*x**3 - 24*x**2 - 10*x + 25.
-(x - 5)**2*(x - 1)*(x + 1)
Factor 3*d**2 + 270*d.
3*d*(d + 90)
Determine p so that 5*p**4 - 130*p**3 + 1205*p**2 - 4680*p + 6480 = 0.
4, 9
Suppose 4*a**2 - 776*a + 37636 = 0. What... | {
"pile_set_name": "DM Mathematics"
} |
lculate r*b(w) - g(w).
2*w
Let g(y) = -21*y**2 - 11*y. Let c(v) = 4*v**2 + 2*v. Let n(x) = x**2 - 4*x - 7. Let j be n(5). Give j*g(q) - 11*c(q).
-2*q**2
Let p(r) = 5*r - 4. Let q(v) = 8*v - 19. Let y(n) = -4*n + 9. Let z(a) = 6*q(a) + 13*y(a). What is -2*p(b) - 3*z(b)?
2*b - 1
Let w = 108 + -56. Let v(d) = 18*d**3 + 26... | {
"pile_set_name": "DM Mathematics"
} |
0, -3*g - 3*m + 4 = -2 for g.
0
Suppose -4*z = -42*d + 43*d - 10, 2*d = 4*z - 16. Suppose -5*c = -c - z*h, -5 = -3*c + h. Solve -5*l + 7 + c = 5*o, 0 = l + 5*o - 2 for l.
2
Suppose -13 = 5*c - 3*b, 2*b = 5*c + 12 - 0. Let j be ((3/9*0)/(-2))/c. Solve -w + d + 2 = j, -1 - 1 = -w - d for w.
2
Let d(y) = 2*y**3 - 3*y**2 -... | {
"pile_set_name": "DM Mathematics"
} |
, 7*l + 5*w + 10 = 12*l for l.
-1
Solve 0 = 4*j + q + 2*q + 15, 2*q + 11 = -3*j for j.
-3
Solve 0 = 3*g + 2*x, 3*g + 3*x + 3 = -0 for g.
2
Solve 2*m - 7 = -16*c + 21*c, 2*c - 4*m + 6 = 0 for c.
-1
Solve -3*v + 4 - 13 = 0, 4*y + v = -19 for y.
-4
Solve -5 = 3*n - 4*n, 4*n - 15 = c for c.
5
Solve -4*i = 5*y + 6, i + 3*i ... | {
"pile_set_name": "DM Mathematics"
} |
. Let q(u) = u**2 - 8*u - 6. Determine q(t).
-6
Let c = 19 - 19. Suppose -x + 2*x + 4*w + 11 = c, 0 = -2*w - 4. Let o(j) = j**2 + j. What is o(x)?
6
Let q(z) = z**3 + 14*z**2 + 11*z + 6. Suppose 2*u - 406 = -432. Determine q(u).
32
Let d(v) be the first derivative of 1/12*v**4 - 2*v**2 - 2/3*v**3 - 3*v + 4. Let g(u) be... | {
"pile_set_name": "DM Mathematics"
} |
3. Let w = -0.1 - p. Put w, -5, h in descending order.
w, h, -5
Let q be (-2)/(-6 - -10 - -1 - 4). Put 17, 0, 5, q in descending order.
17, 5, 0, q
Let g(o) = o**3 - 6*o**2 + o - 3. Let a be g(6). Suppose -j - 1 = a. Let b(z) = -z**2 + 3*z + 1. Let k be b(4). Sort j, k, -1.
j, k, -1
Suppose 2 = 2*j, 7*j - 45 = 5*d + 12... | {
"pile_set_name": "DM Mathematics"
} |
11)*(-3*j + 1 - 3 + 5*j).
66*j - 66
Expand (27*y - 12*y + 18*y**2 - 13*y)*(-1 + 1 + 1).
18*y**2 + 2*y
Expand (0 - 3 + 6 + (6 - 4 + 0)*(0 + 4 - 3))*(3*j**2 - j**2 + 0*j**2).
10*j**2
Expand (-6*n + 6*n + 3*n**2)*(-26*n**2 - 29*n**2 + 61*n**2).
18*n**4
Expand (-20 + 20 + 8*l**3)*(-2*l + 2*l - 2*l) + l**4 - 3*l**3 + 3*l**3... | {
"pile_set_name": "DM Mathematics"
} |
= 25. Is 10 a factor of r?
True
Let h(t) = -2*t**3 + 2*t**2 - 5*t + 4. Let a(l) = -l**2 + l - 1. Let s(k) = -4*a(k) - h(k). Does 26 divide s(2)?
True
Let g be (8 - 0) + 8 + -9. Suppose 0 = -12*l + g*l + 90. Is l a multiple of 6?
True
Suppose 0 = -3*i - 0 + 6, i + 8 = 2*d. Suppose 3*h = -4*c + d*h + 124, -2*h + 4 = 0. ... | {
"pile_set_name": "DM Mathematics"
} |
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