text stringlengths 270 8.19k | meta dict |
|---|---|
9 rounded to 7 dps?
0.0000385
What is 73619000 rounded to the nearest 100000?
73600000
Round -13766.7 to the nearest one hundred.
-13800
What is -27.0246 rounded to the nearest integer?
-27
Round -0.97188 to 2 decimal places.
-0.97
Round -60083300 to the nearest one million.
-60000000
Round 160438.89 to the nearest one... | {
"pile_set_name": "DM Mathematics"
} |
litre in millilitres?
8500
How many minutes are there in 1/6 of a day?
240
What is seven eighths of a kilometer in centimeters?
87500
What is 478097.3 nanograms in kilograms?
0.0000004780973
What is fourty-two fifths of a kilometer in meters?
8400
What is 3/10 of a millimeter in micrometers?
300
What is 18/5 of a meter... | {
"pile_set_name": "DM Mathematics"
} |
5 - 0 - 3)?
4
-3 + (-1 - -4) + -6 + 2
-4
Evaluate -2 + 0 - -4 - 8.
-6
What is the value of (4 - -8) + 24 + -28?
8
2 + -1 + (5 + 0 - 3)
3
Calculate (8 - 12) + 10 - (0 - -6).
0
2 + (29 + -33 - (0 + -1))
-1
Calculate (-13 + 6 - -13 - 3) + -3.
0
(0 - -2) + -9 + (-1 - -7)
-1
(-1 - -8) + (-18 - -5) + 6
0
What is the value of... | {
"pile_set_name": "DM Mathematics"
} |
5*m - 11*n - 208 = 0 for m.
-5
Solve -2*y + 2516 = 4*l + 2536, y + 7 = -5*l for y.
-12
Solve 0 = 3*a - 2*m - 158, 293 - 15199 = -276*a - m for a.
54
Solve 17*c + 2*y = c + 114, 4*c - 5*c + y - 63 = 3 for c.
-1
Solve 533 - 260 = 6*m + 261, -2*f + 3*m - 28 = 0 for f.
-11
Solve 3*v + 2*f = 48*v - 0*f + 769, 64 = -4*v - 2*... | {
"pile_set_name": "DM Mathematics"
} |
is prob of picking 1 m, 1 o, and 1 l when three letters picked without replacement from {c: 3, o: 4, l: 5, m: 2, i: 5}?
40/969
What is prob of picking 1 m and 1 r when two letters picked without replacement from rnhzxmh?
1/21
Two letters picked without replacement from rrqrsqsq. What is prob of picking 2 r?
3/28
What i... | {
"pile_set_name": "DM Mathematics"
} |
s(v) = -35*v + 71. Is s(w) a multiple of 8?
True
Suppose -33*t = -36*t + 15. Does 16 divide -3 + t + -1 - (5 - 48)?
False
Suppose 110*h + 184833 - 792033 = 0. Is h a multiple of 23?
True
Let z(d) = 142*d**2 + 3*d - 1. Let b be z(2). Suppose 4173 - b = 10*f. Is f a multiple of 12?
True
Suppose -12 = 85*i - 80*i + 3*c, ... | {
"pile_set_name": "DM Mathematics"
} |
*h + t*k + 18 for h.
1
Suppose 4*r = 10 - 58. Let u be 14/3*r/(-8). Suppose 2*z + u = -5*k, -3*z - 3*k + 4*k + 32 = 0. Solve 6*t = 2*h + 4*t + 8, -2*h - z = -t for h.
-5
Let n = 16 - 14. Solve 0 = -2*d + 4*s + 14, -5*s = -n*d - d + 19 for d.
3
Let q = 120 + -118. Solve -q*n + 7 = 3*y, -2*y + 1 + 3 = 2*n for n.
-1
Suppo... | {
"pile_set_name": "DM Mathematics"
} |
731*(-15)/225 - ((-9)/15 + 0) is divided by 20/(-6)*2*-3.
16
Let l = 7644 + -6426. What is the remainder when l is divided by 401?
15
Let x be (-4)/14 - (-14)/49. Suppose -6*n - 9 + 21 = x. Suppose 259 = 2*o + c, 2*c + 277 = n*o - 3*c. Calculate the remainder when o is divided by 22.
21
Suppose -263*f + 2242717 - 37734... | {
"pile_set_name": "DM Mathematics"
} |
6, -471, -716?
-25*p**2 - 20*p + 9
What is the c'th term of 125, 500, 1151, 2096, 3353, 4940, 6875?
3*c**3 + 120*c**2 - 6*c + 8
What is the h'th term of -12084, -24157, -36230?
-12073*h - 11
What is the l'th term of -997, -977, -945, -901, -845, -777, -697?
6*l**2 + 2*l - 1005
What is the b'th term of -180, -802, -1870... | {
"pile_set_name": "DM Mathematics"
} |
ulate 0.033 - 79.
-78.967
Calculate 1.19 + 20.2.
21.39
Total of -0.02 and -19073.
-19073.02
What is -926 take away -51?
-875
Sum 0.4 and 1425.
1425.4
What is 290.5 - 0.1?
290.4
What is the difference between 3 and -0.6691?
3.6691
What is -0.12263 less than 0.2?
0.32263
Calculate -34054 - -0.1.
-34053.9
0.04 + 4582.3
45... | {
"pile_set_name": "DM Mathematics"
} |
i (b) -3/4 (c) -4
b
Let w = 403 + -402.8. Which is the nearest to -51? (a) w (b) 2 (c) -0.3
c
Let d = 72 + -71.8. Let j = 0.505 + -0.005. What is the nearest to j in -0.4, -1, d?
d
Let o = -56 + 58. What is the nearest to -1/4 in 3/7, -5, o?
3/7
Let l = 2.5 + -2. Let t = -0.3 - -0.3. Let u = 1125 + -1120. Which is... | {
"pile_set_name": "DM Mathematics"
} |
- 1, 5 = -g*l - 3*d - 0*d for l.
-1
Let p = -6 - -11. Suppose -c - 12 = -p*c. Suppose -2*z = c*h + z - 15, 3*h = -z + 21. Solve -4*j = i + h, i + j + 2 = -0 for i.
0
Suppose 2*r - 6 = -r. Solve 5*k - 25 = -r*g, 2*g + 15 = k + 2*k for k.
5
Let m(a) be the second derivative of -a**4/12 + a**3 + 3*a**2/2 - 2*a. Let b be ... | {
"pile_set_name": "DM Mathematics"
} |
t j(w) = 7*w**2 - 12*w - 10. Let k be j(-8). Suppose 0*c = -3*c - k. What is the least common multiple of 6 and c/(-8) + 3/(-12)?
66
Let x = -103/5 - -819/40. Find the common denominator of -101/160 and x.
160
Let d(r) = -r**3 + 5*r**2 - 6*r + 5. Let q be d(4). Calculate the lowest common multiple of (q/(-4))/((-2)/(-4... | {
"pile_set_name": "DM Mathematics"
} |
-3*d + c + c = 0, -2*c = -2*d. Let h(b) be the first derivative of -1 + 2*b - 2/3*b**3 + d*b**2. Differentiate h(f) wrt f.
-4*f
Let i(r) = -2*r - 11*r - 1 - 9*r**2 + 4 + 3. Let h(q) = 4*q**2 + 6*q - 3. Let x be (4/2)/((-4)/26). Let w(j) = x*h(j) - 6*i(j). Differentiate w(l) wrt l.
4*l
Find the second derivative of -17 ... | {
"pile_set_name": "DM Mathematics"
} |
vative of u**3/6 + 2*u**2 + u. Let g be b(-5). What is the closest to p in g, -0.4, 5?
-0.4
Let z = 2.7 - -2.3. Which is the closest to 2/3? (a) -1/9 (b) 3/2 (c) z
a
Suppose 4*v = -v. Let b = -1 + 1. Let i = b + 0.1. What is the nearest to i in v, -2, -0.1?
v
Let l = -3.8 + 4.2. What is the nearest to 11 in l, 3, 0.... | {
"pile_set_name": "DM Mathematics"
} |
etters picked without replacement from tautvuvtualaauaaaau?
28/171
Four letters picked without replacement from mmqqqqqqtqqqttmt. What is prob of picking 1 m, 1 t, and 2 q?
108/455
Calculate prob of picking 1 h and 1 q when two letters picked without replacement from {h: 2, o: 1, q: 2}.
2/5
What is prob of picking 1 g,... | {
"pile_set_name": "DM Mathematics"
} |
4*o + 3*r. Let h = b - o. Solve -h*l + 4*l = 5 for l.
-1
Let d(i) = i**3 - 24*i**2 - 21*i - 87. Let r be d(25). Let n = 17 - 12. Solve 2 + r = n*j for j.
3
Let z = -14201 + 14227. Solve 0 = 48*p - z*p for p.
0
Suppose 5*i + 17*i = 0. Solve -35*y - 44 - 26 = i for y.
-2
Suppose 3*c + 6 = -2*k + 2*c, -4 = -2*k + 4*c. Let... | {
"pile_set_name": "DM Mathematics"
} |
of -h**3*i + 508200*h**3 - 2*h**2*i + 39216*h - 67*i wrt h.
-6*h*i + 3049200*h - 4*i
Find the second derivative of 37361083*h**3 + 25103208*h.
224166498*h
Find the third derivative of -12706967*d**3*r - 2*d**3 + 73*d**2*r + d**2 + d*r - 14*r wrt d.
-76241802*r - 12
Differentiate -876*c*k**3 - 22*c*k**2 + 40*c*k - 25*k... | {
"pile_set_name": "DM Mathematics"
} |
e 0 = 5*j - 9*j - 28. Let o(y) = -42*y - 3 + 0 + 40*y - 4. Let m(q) = -5*q - 15. Determine j*o(c) + 3*m(c).
-c + 4
Let u(j) = 30*j**3 + 4*j**2 - 8*j - 172. Let p(q) = 22*q**3 + 3*q**2 - 6*q - 174. Give -4*p(t) + 3*u(t).
2*t**3 + 180
Let q(w) = -436*w**3 + 2*w**2 + 4*w - 4. Let y(x) = -872*x**3 + 5*x**2 + 10*x - 10. Det... | {
"pile_set_name": "DM Mathematics"
} |
0 + 8 + 12*i - 7 + i**3 - 13*i**a. Give f(12).
1
Let n = 5 + -3. Let p be (-4 - 3) + -1 + 11. Let b(z) = -1519 + 1520 - 2*z**3 + 3*z - z**2 + 3*z**p - 4*z. Give b(n).
3
Let a = -10 + 7. Suppose 4*n - 16 + 8 = -4*y, 0 = n + 3*y + 2. Let s(j) = 2*j + 3 + 11*j**2 - 10*j**2 + n*j - 2*j. Give s(a).
0
Let x(o) = o**3 - 2*o*... | {
"pile_set_name": "DM Mathematics"
} |
Let v(c) = -c**3 + 2*c**2 + 7*c + 1. Let t be v(4). Let n be t/(-1) + (-278)/(-2). Suppose -n = -4*w + 306. Does 16 divide w?
True
Suppose -3*z + 2106 = -3*w, -3*z + w + 3362 = 1264. Does 17 divide z?
False
Suppose 0 = r - 3*r + 2*g + 292, -3*g = -4*r + 579. Is r a multiple of 7?
False
Let u = -7 + 15. Suppose -4*p - u... | {
"pile_set_name": "DM Mathematics"
} |
-0.3 and 617.88.
617.58
What is the difference between 0.2 and -0.69084?
0.89084
Work out -0.162 - -0.08.
-0.082
What is 3.6407 minus -0.5?
4.1407
Calculate -0.01 + 0.61.
0.6
Add together -65 and -0.032.
-65.032
59 + -54001
-53942
What is 0.2 plus -10320?
-10319.8
What is 166 plus -14045?
-13879
-0.52 + 190
189.48
What... | {
"pile_set_name": "DM Mathematics"
} |
3 + 2*a**3)*(-1 - 2*a + 1) + 0*a**4 - 5*a**4 + 0*a**4 + 5*a**4 - 4*a**4 + a**4)*(4*a + a - 4*a).
a**5
Expand (b**2 - 2 + 2)*(-92 + 29 - 29)*(2*b + 0 + 0).
-184*b**3
Expand (2*i - 2*i + i)*(0*i**2 + i**2 + i**2) + 17 - 2*i - 17 - 5*i**3.
-3*i**3 - 2*i
Expand -4*h**4 + 5*h**4 - 4*h**4 + (-h**3 + h**3 + 2*h**3)*(3*h - 2*h... | {
"pile_set_name": "DM Mathematics"
} |
= 0.
-27, -1, 0
Let u(q) = 2*q**2 - 177*q + 172. Let b(n) = 3*n**2 - 353*n + 343. Let w(o) = -3*b(o) + 7*u(o). Factor w(f).
5*(f - 35)*(f - 1)
Let i(r) be the third derivative of -r**7/105 - r**6/30 + r**4/6 + r**3/3 + 86*r**2. Suppose i(u) = 0. What is u?
-1, 1
Let q(n) = n**5 - n**4 - n**2 - n. Let s(x) = 10*x**5 - ... | {
"pile_set_name": "DM Mathematics"
} |
ere between 6:23 PM and 11:50 PM?
327
What is 332 minutes after 4:46 PM?
10:18 PM
How many minutes are there between 9:43 AM and 4:09 PM?
386
How many minutes are there between 4:10 PM and 8:22 PM?
252
How many minutes are there between 11:23 PM and 3:34 AM?
251
What is 581 minutes after 7:50 PM?
5:31 AM
What is 492 mi... | {
"pile_set_name": "DM Mathematics"
} |
base 2) to base 12
629
Convert cc93 (base 13) to base 2.
110111101100000
450 (base 14) to base 13
509
What is 56220 (base 7) in base 12?
8253
What is 27014 (base 8) in base 9?
17147
Convert 189 (base 11) to base 3.
22002
Convert 2052 (base 6) to base 12.
328
What is 102212 (base 3) in base 2?
101000000
Convert 44251 (b... | {
"pile_set_name": "DM Mathematics"
} |
e there between 1:30 PM and 3:45 PM?
135
How many minutes are there between 11:59 PM and 6:26 AM?
387
How many minutes are there between 7:33 AM and 11:29 AM?
236
How many minutes are there between 7:52 PM and 2:55 AM?
423
How many minutes are there between 11:17 AM and 1:42 PM?
145
What is 625 minutes before 2:19 AM?
... | {
"pile_set_name": "DM Mathematics"
} |
olve 6*f - 18 = -6 for f.
2
Solve -8*i + 21 = -15*i for i.
-3
Solve 404*i - 14 = 397*i for i.
2
Solve 23*j = 12*j + 66 for j.
6
Solve -34*q - 130 = -300 for q.
5
Solve 78*f + 9*f + 957 = 0 for f.
-11
Solve -18 = 29*k + 98 for k.
-4
Solve 13*s + 12 = 9*s for s.
-3
Solve -47*k - 40 = -39*k for k.
-5
Solve 48 - 64 = -8*k ... | {
"pile_set_name": "DM Mathematics"
} |
*d + 4
What is the h'th term of 61, 125, 189, 253, 317, 381?
64*h - 3
What is the r'th term of 67, 48, 13, -38?
-8*r**2 + 5*r + 70
What is the d'th term of -233, -469, -709, -953, -1201, -1453, -1709?
-2*d**2 - 230*d - 1
What is the y'th term of 129, 275, 459, 693, 989, 1359, 1815?
2*y**3 + 7*y**2 + 111*y + 9
What is t... | {
"pile_set_name": "DM Mathematics"
} |
2*3/18) + m. Suppose b*n + 699 = 30*n. Is n a composite number?
False
Suppose c - 20416 - 1844 = -5*m, m = -5. Let d = 35370 - c. Is d composite?
True
Let q(o) = -920*o - 1233. Is q(-68) a composite number?
True
Let u be (6*(-30)/(-27))/((-2)/(-192)). Suppose 26*n + u = 31*n. Suppose -n*g = -130*g + 1790. Is g a prime ... | {
"pile_set_name": "DM Mathematics"
} |
3 - 15*c**2 - 30*c**3 + 6 + c in the form z*c**2 + m + f*c**3 + w*c and give f.
-1
Express 0*g**2 + 4*g - 463 + 281 - 2*g**3 - 524 - 2*g**2 as j + s*g + o*g**3 + f*g**2 and give f.
-2
Rearrange (1502 + 1465 - 14162 - 11412 - 4586 - 13930)*(-2*i**3 - 2*i**3 + 2*i**3) to the form q*i + m + l*i**2 + t*i**3 and give t.
822... | {
"pile_set_name": "DM Mathematics"
} |
e c*w - 1497 = 81. Is w prime?
True
Let k(s) = -49*s + 14. Let n(f) = -24*f + 7. Let b(a) = 3*k(a) - 5*n(a). Suppose 0 = -5*m - 30 + 5. Is b(m) a prime number?
False
Let u(d) = 2*d**2 - 11*d + 4. Let p be u(8). Let c be 39303/p - 3/(-4). Is c/4 - (-2)/(-4) a prime number?
True
Let q = -14989 + 31040. Is q a prime numbe... | {
"pile_set_name": "DM Mathematics"
} |
ds digit of w(q)?
3
Suppose 0 = -x - 36 + 43. Suppose -x*m = -314 - 330. Let f = -39 + m. What is the units digit of f?
3
Let q(g) be the first derivative of 45*g**2/2 + 11*g - 120. What is the hundreds digit of q(2)?
1
Let o = 403 + -399. Suppose 9*s - 1459 = -r + 10*s, 4*s - 5836 = -o*r. What is the thousands digit o... | {
"pile_set_name": "DM Mathematics"
} |
36*q**5 - 14*q**5.
-62*q**5
Expand 11*i**4 + 13*i**4 - 7*i**4 + 8 - 8 + 7*i**4 + (-i**2 + 0*i**2 + 2*i**2)*(-i**2 + 2*i**2 - 2*i**2) + (2*i**2 + 2 - 2)*(6*i**2 - 3*i**2 - i**2).
27*i**4
Expand (-81*b**2 - 23*b**2 - 45*b**2 + (0 + 1 + 0)*(-b**2 + 3*b**2 + 0*b**2) - b**2 - 2*b**2 + 5*b**2)*(-4 + 1 + 5 + (2 - 3 + 2)*(-4 +... | {
"pile_set_name": "DM Mathematics"
} |
-2598 - 73*w**3 - 62*w**3 + 141*w**3 + 1394 + 1204.
6*w**3
Collect the terms in -146 - 185 - 1046*x + 510 - 179.
-1046*x
Collect the terms in 4 - 2141489*u**3 - 8 + 2141155*u**3.
-334*u**3 - 4
Collect the terms in -s - 2606 + 1071 + 1490.
-s - 45
Collect the terms in -41*p + 132*p - 40*p + 10*p - 25*p - 42*p.
-6*p
Col... | {
"pile_set_name": "DM Mathematics"
} |
Let t be 2/9 + 75/27. Solve d = -h - 7, -t*d - 5*h - 25 = -0*d for d.
-5
Suppose 4*x = -x + 40. Let u = 6 + -2. Suppose 2*j + b - 9 = -u, 5*j - 4*b - 32 = 0. Solve h - j*r = -2*r + 13, h - x = r for h.
3
Let y(x) = x + 12. Let p be y(-9). Suppose -p*i + 7*i = 16. Suppose 3*w + 2*w = -b, 4*w + 3*b = 0. Solve -5*n + 5 =... | {
"pile_set_name": "DM Mathematics"
} |
-379 (base 10) to base 6.
-1431
Convert -120210 (base 3) to base 7.
-1146
110001011010101 (base 2) to base 14
9313
What is 567 (base 8) in base 6?
1423
What is 100200 (base 3) in base 9?
320
What is -219 (base 13) in base 7?
-1023
342 (base 9) to base 2
100011001
Convert -13 (base 4) to base 3.
-21
What is -300520 (ba... | {
"pile_set_name": "DM Mathematics"
} |
give v.
937
Express (-637 + 733 + 271)*(-2 + 5 - 2)*(2*h - 3*h - h)*(2*h**2 + 0*h + 0*h) in the form y + q*h**2 + d*h + s*h**3 and give d.
0
Rearrange (0 + 2 - 3)*(-3*s + 0*s + 2*s) + (s + 2*s - 4*s)*(35 + 36 + 37) to y*s + h and give y.
-107
Rearrange (-8*a + 0 + 0)*(39 - 39 + 4*a**2) + (-3*a**2 - 2 + 3*a**2 - 2*a**2... | {
"pile_set_name": "DM Mathematics"
} |
441 is divided by 23?
19
Calculate the remainder when 107444 is divided by 65.
64
Calculate the remainder when 80775 is divided by 3671.
13
Calculate the remainder when 24159 is divided by 12070.
19
Calculate the remainder when 2024 is divided by 149.
87
Calculate the remainder when 17823 is divided by 8904.
15
What is... | {
"pile_set_name": "DM Mathematics"
} |
et g = -169 - -167. Sort 15/2, 1/6, g in descending order.
15/2, 1/6, g
Let q(i) = 3*i**2 - 2*i - 3. Let m be q(4). Let p = 36 - m. Let z be (-1 - 1)/4*0. Sort 2, z, p in decreasing order.
2, z, p
Suppose 2*k + 18 = 2*p, -7*p - 11 = 3*k - 6*p. Suppose 5*l = -3*g + 7, 0 = 5*l + 2 + 3. Sort k, g, 17, 2 in decreasing orde... | {
"pile_set_name": "DM Mathematics"
} |
c for a.
1
Let w = -19 + 22. Solve -2*p + w*p + 5*h - 2 = 0, 3*h - 18 = 5*p for p.
-3
Suppose 3*f - 2*f + 3*s + 12 = 0, 4*f = -2*s + 2. Solve -13 = f*k + 5*o, -k = -2*k - 2*o - 5 for k.
-1
Suppose -2*v + 24 - 10 = 0. Solve 2*n - 2*k - 6 = 0, -v = 2*n + 3*k + 12 for n.
-2
Let u(m) = -m. Let w(g) = g**2 + 5. Let o(n) = ... | {
"pile_set_name": "DM Mathematics"
} |
What is the closest to 21 in -0.4, 3, 1?
3
What is the closest to -5 in -2, 0.2, -5, 13?
-5
What is the nearest to -0.2 in -1, -5/3, -0.9, 2.6?
-0.9
What is the nearest to 0.07 in -1.5, 2, 0.2?
0.2
Which is the closest to 4? (a) 0 (b) 5 (c) -0.11
b
What is the closest to 0 in 4, 1/45, 4/5?
1/45
What is the nearest ... | {
"pile_set_name": "DM Mathematics"
} |
et l = 26 - 28. Let s be l/(-7) - t/(-7). Solve -5 = -c + s*c for c.
-5
Suppose 18*x + b = 21*x - 44, -4*b + 32 = 4*x. Solve -5*i + 2 = -x for i.
3
Suppose 5*g = -0*a - 4*a + 36, 3*a = 3*g. Suppose 2*l - 8 = -6*s + 4*s, -3*s = a*l - 12. Solve -16 = -0*c + s*c for c.
-4
Let b be (-1 + (-30 - -1))/(6/(-3)). Solve -b = 3*... | {
"pile_set_name": "DM Mathematics"
} |
et a be (d*(5 - 1))/(-1). What is g(a)?
-2
Let g(i) be the first derivative of i**4/4 + 8*i**3/3 + 9*i**2/2 + 238. Calculate g(-7).
-14
Let h be (3 + (-48)/10)*(-10)/3. Let j(l) = -4 + 5*l + 11 - h. Determine j(-2).
-9
Suppose -5*q - 5*o = -5, -o + 61 = 2*q + 64. Let w(g) = 5*g + 16. Determine w(q).
-4
Let t(k) = 516*k... | {
"pile_set_name": "DM Mathematics"
} |
ng 1 n and 2 r.
3/55
Calculate prob of picking 1 m, 1 t, 1 f, and 1 v when four letters picked without replacement from {t: 4, m: 2, i: 9, v: 4, f: 1}.
32/4845
Three letters picked without replacement from aawawwawwwwaa. Give prob of picking 3 a.
10/143
Calculate prob of picking 2 f and 1 u when three letters picked wi... | {
"pile_set_name": "DM Mathematics"
} |
+ 2*x - 2. Let z be q(-2). Let h = -1 + z. Let n = -11 + 16. What is the greatest common divisor of h and n?
1
Let z(c) = 60*c**2 - 2*c - 2. Let w be z(-1). Calculate the greatest common factor of w and 90.
30
Suppose 16*i + 2124 = 5932. What is the highest common divisor of i and 28?
14
Let d = -90 + 155. Let i(f) = ... | {
"pile_set_name": "DM Mathematics"
} |
t n?
31338
Suppose -4*f + 2*d = -42, -4*f - 6*d = -7*d - 45. Let y be 4 - -9*f/18. What is the second derivative of 14*m**3 + 16*m**3 - y*m**3 - 2*m wrt m?
120*m
Suppose -7*i + 3*i = -4. Let d be -4 + (i - -4) + 4. What is the second derivative of -8*o**d - 3*o - 6*o + 21*o**5 wrt o?
260*o**3
Find the second derivative... | {
"pile_set_name": "DM Mathematics"
} |
sqrt(11)) - (sqrt(44) + sqrt(11) + 3 + -3)) + 0.
-3*sqrt(11) - 4
Simplify (((-1 + (1 + sqrt(13) - sqrt(13)))**2 - (sqrt(39)/sqrt(27) + sqrt(13)))*3 + 5)*-3.
-15 + 12*sqrt(13)
Simplify (-4*2*sqrt(14)*-4)/((sqrt(1400)*1)/sqrt(8)).
32*sqrt(2)/5
Simplify (6*2*sqrt(66))/(5*4*sqrt(6) + sqrt(6)).
4*sqrt(11)/7
Simplify ((-4*s... | {
"pile_set_name": "DM Mathematics"
} |
.
3
Let r(a) = -392*a**2 + 49783*a + 119. Give r(127).
-8
Let g(q) = 6*q**3 + 505*q**2 + 135*q + 376. Give g(-84).
-3908
Let q(l) = 25*l**3 + 3*l**2 - 17*l - 45. Determine q(-4).
-1529
Let a(m) = 5407*m + 929980. What is a(-172)?
-24
Let t(g) = -g**2 + 185*g - 4431. Determine t(23).
-705
Let c(w) = -1315*w - 545711. Wh... | {
"pile_set_name": "DM Mathematics"
} |
365.
10355
What is the remainder when 5339035 is divided by 38?
35
Calculate the remainder when 122231 is divided by 2188.
1891
Calculate the remainder when 3602516 is divided by 17.
12
Calculate the remainder when 89661 is divided by 29795.
276
Calculate the remainder when 152179 is divided by 30422.
69
Calculate the ... | {
"pile_set_name": "DM Mathematics"
} |
838275*s/2 - 165391875/2 = 0.
-33, 1, 225
Determine p, given that -3*p**4/2 + 117*p**3/4 - 243*p**2/4 - 213*p/4 + 153/4 = 0.
-1, 1/2, 3, 17
Factor -2*z**3 - 896*z**2 + 18520*z - 93600.
-2*(z - 10)**2*(z + 468)
Determine l, given that -210*l**5 + 2902*l**4 - 2058*l**3 - 2486*l**2 + 2268*l - 416 = 0.
-1, 2/7, 8/15, 1, 13... | {
"pile_set_name": "DM Mathematics"
} |
= 5*t. Let l = 9 - d. What is the remainder when 12 is divided by l?
5
Let k(c) = c**3 + c**2 - c + 4. Suppose 2*a + a = -4*q + 9, -4*a + 8 = 4*q. Let r = q + -3. Calculate the remainder when 7 is divided by k(r).
3
Let p = 8 - 1. Calculate the remainder when 26 is divided by 3 + 0 - (-42)/p.
8
Suppose 0 = -5*o - 2*x ... | {
"pile_set_name": "DM Mathematics"
} |
?
5, 29
Let f(t) = -t**2 + 2*t + 1. Let l(q) = -q**3 + 2*q**2 - 1. Let n be l(-1). Let u be f(n). List the prime factors of u - (-1 - (-1 + 2)).
3
Let d = 36 + -19. Suppose -113 = -5*w + d. What are the prime factors of w?
2, 13
Let k(r) = -6*r**2 + 2*r**3 - 3*r**3 - 11 + 6*r + 8. Let a be k(-7). Suppose 4*u + 64 = 4*m... | {
"pile_set_name": "DM Mathematics"
} |
= n. Is r + 0 - 5 - -16 prime?
False
Suppose -q = -4*q - 3*n + 21, -n = -2*q - 1. Let d = 499 + -496. Suppose 5*a + 5*k = 805, 479 = d*a - q*k + 3*k. Is a a prime number?
False
Suppose 0*y + 4*y - 35 = -3*o, 0 = -4*y + 2*o + 10. Let t(a) = 73*a**2 - 6*a + 4. Is t(y) prime?
False
Let u(d) be the third derivative of -35... | {
"pile_set_name": "DM Mathematics"
} |
est integer?
44
What is 225047 to the power of 1/3, to the nearest integer?
61
What is the ninth root of 804789 to the nearest integer?
5
What is the cube root of 191126 to the nearest integer?
58
What is 4207 to the power of 1/2, to the nearest integer?
65
What is the tenth root of 490819 to the nearest integer?
4
Wha... | {
"pile_set_name": "DM Mathematics"
} |
a) -1/3 (b) w (c) 0.2
c
Let r = -1.02 - -0.02. Let i = 445/4 - 112. Suppose 18*y + 26 = 5*y. What is the nearest to y in -5, i, r?
r
Let h be (14/42)/((-14)/(-18)). Let m be 1/2*(-2)/11. Let y = -34.9 - -32.9. What is the nearest to y in 2/15, m, h?
m
Let l = -24 + 121/5. Let w = 5.69 - 5.49. What is the nearest to w... | {
"pile_set_name": "DM Mathematics"
} |
)/(c/(c/c**(-6/13)))**(2/31))**(-1/38) assuming c is positive.
c**(-21143/673816)
Simplify (q**(-2/3))**22*q**(2/9)/q*q**9*q*(q**(-2/17)/q**(-2/3))/(q**(-2/7))**47 assuming q is positive.
q**(9139/1071)
Simplify (((f*f**(5/2))/(f*f**6))/(f**(-4/9)/f)**(-4/21))**(-1/23) assuming f is positive.
f**(1427/8694)
Simplify ((... | {
"pile_set_name": "DM Mathematics"
} |
8)
2/7
What is 3/(27/21)*(-24)/252?
-2/9
Calculate (-6)/1*(1421/42)/29.
-7
What is the value of (-16)/132*8/(-112)*-21?
-2/11
Calculate (3/2)/((-23)/(-46)).
3
Calculate 1/209*-2*-11.
2/19
Evaluate (-18)/8*7/168*-4.
3/8
Calculate (4/(-5))/(2/(-5)).
2
(5/((-135)/36))/((-6)/(-1))
-2/9
What is (2/6)/(5/(-120)*-2)?
4
((-3)/... | {
"pile_set_name": "DM Mathematics"
} |
of -25*f**7/42 + 5*f**6/6 - f**5/3 + 11*f**2. Suppose o(i) = 0. Calculate i.
0, 2/5
Let x(g) be the second derivative of -g**10/226800 - g**9/113400 - 3*g**4/4 + 9*g. Let z(h) be the third derivative of x(h). Factor z(s).
-2*s**4*(s + 1)/15
Let u(i) = i - 1. Let r be 0/(-3)*(-2)/(-4). Let s = r - -6. Let c(f) = 10*f**2... | {
"pile_set_name": "DM Mathematics"
} |
) a multiple of 7?
False
Let h = -254 - -493. Is h a multiple of 7?
False
Suppose -5*j = -93 + 113. Is 3 a factor of 10/j*(-78)/65?
True
Let n(l) = 45*l - 199. Is n(9) a multiple of 4?
False
Let f(l) = -2*l**3 + 2*l**2 - l + 8. Let b be f(0). Does 16 divide -5*b/((-120)/369)?
False
Suppose -r + 12 = 3*r. Let n(p) = -9 ... | {
"pile_set_name": "DM Mathematics"
} |
= -3*l - 3*b, -l = b + o*b + 13 for l.
-5
Suppose 4 + 5 = 3*b. Let y = 17 + 6. Suppose -2*k + 3*h - 3 = -8, -b*h + y = 5*k. Solve 4*m = -i - 18, -2*m - 3*m = -k*i + 12 for m.
-4
Let h be (-3)/(-15) - 339/(-5). Suppose -3*j + h = -25. Solve -w - n = 3*n + 21, 3*w + 4*n + j = 0 for w.
-5
Let i(d) = d**2 - 2*d - 3. Let h ... | {
"pile_set_name": "DM Mathematics"
} |
t from {a: 3, e: 3, i: 1}. What is prob of sequence eaa?
3/35
What is prob of sequence crs when three letters picked without replacement from {r: 1, c: 5, s: 4}?
1/36
What is prob of sequence qknn when four letters picked without replacement from nqkqqkkkqnnqknqqk?
3/340
Two letters picked without replacement from gggg... | {
"pile_set_name": "DM Mathematics"
} |
4)*(-366)/(-124989) and 27/5.
3415
Let g be (0 + (-4)/6)/(26/(-858)). Suppose -1 - g = -n. Let c(j) = j - 7. What is the lowest common multiple of c(n) and 20?
80
Let n = 11207/304 - 590/19. Find the common denominator of n and (-1281)/360 - (-3)/5.
48
Let v = 2099771/42 - 49991. Find the common denominator of 83/762 a... | {
"pile_set_name": "DM Mathematics"
} |
lect the terms in -12*a + 17*a - 8*a.
-3*a
Collect the terms in -53*x + 104*x - 54*x.
-3*x
Collect the terms in -11*l**2 - 16*l**2 + 138*l**2.
111*l**2
Collect the terms in -10*i - 6*i - 11*i + 25*i.
-2*i
Collect the terms in 13 - 18 + 5 + 19*c**3.
19*c**3
Collect the terms in -2*l + 3*l - l + 1279*l**3.
1279*l**3
Coll... | {
"pile_set_name": "DM Mathematics"
} |
)**2 + sqrt(275))*-6*1)*-1.
30*sqrt(11) + 6608
Simplify -5*(1*((-1 + sqrt(704) + -1 + sqrt(704) + 3)*1 + -2))**2.
-14085 + 160*sqrt(11)
Simplify -4*((sqrt(18)/sqrt(9) + 1 - sqrt(2) - (sqrt(2) + 0 + -4)) + (sqrt(128) + (-3 + sqrt(128))*2)**2 + -3).
-4760 + 1156*sqrt(2)
Simplify 1 + 6*-3*(-1*(sqrt(112) + -1) - (-3*(sqrt(... | {
"pile_set_name": "DM Mathematics"
} |
ked without replacement from {e: 2, v: 2, l: 3, f: 3, p: 3}. Give prob of sequence ef.
1/26
What is prob of sequence zp when two letters picked without replacement from zzippiiz?
3/28
Two letters picked without replacement from caudkhdkh. What is prob of sequence da?
1/36
Four letters picked without replacement from rr... | {
"pile_set_name": "DM Mathematics"
} |
52)).
-8*sqrt(13) + 65
Simplify ((sqrt(360) - -3*2*sqrt(360))/(sqrt(128) + sqrt(128)*1 + sqrt(128) + sqrt(128)))/((sqrt(90)/sqrt(40) + 2*sqrt(36))*-5).
-7*sqrt(5)/360
Simplify (-6*2*sqrt(20)/sqrt(2)*1)/(3*(sqrt(180)*2 + sqrt(180) + (sqrt(5) - sqrt(20))*-5 + sqrt(5))).
-sqrt(2)/6
Simplify (5 + (3 + (6*(-2 + sqrt(1053) -... | {
"pile_set_name": "DM Mathematics"
} |
ut replacement from eeeeee. What is prob of sequence ee?
1
Calculate prob of sequence acva when four letters picked without replacement from avvcqvqvaq.
1/630
Four letters picked without replacement from qaqwasqqaqemq. What is prob of sequence sqmw?
1/2860
Three letters picked without replacement from {c: 2, g: 5, v: 3... | {
"pile_set_name": "DM Mathematics"
} |
arest integer?
3
What is the third root of 1301 to the nearest integer?
11
What is the tenth root of 40480 to the nearest integer?
3
What is 434 to the power of 1/8, to the nearest integer?
2
What is 14585 to the power of 1/3, to the nearest integer?
24
What is the third root of 860 to the nearest integer?
10
What is 1... | {
"pile_set_name": "DM Mathematics"
} |
11. Let c be d(7). Let m be (-9 - (0 + c))*-1. Solve -2*b = -m*b - 6 for b.
-2
Suppose -5*u = -4*u - 20. Solve 0 = 2*k - 6*k + u for k.
5
Suppose -8*j = -4*j - 12. Solve -1 = o - j for o.
2
Suppose -4*t - 5*w = -2*t + 15, 0 = -2*t + 2*w + 6. Solve -2*m - m + 9 = t for m.
3
Let z be (-5)/((-25)/60) - 3. Solve 0 = -2*o -... | {
"pile_set_name": "DM Mathematics"
} |
ppose w = -1 + v. Calculate the remainder when 7 is divided by w.
1
Suppose -4*c - 4*a + 72 = 0, 5*a - 20 - 34 = -3*c. Suppose 5*k - 4 = 11. Suppose -k = -d + c. Calculate the remainder when d is divided by 6.
3
Suppose 0*m - 4*x = -m + 241, 643 = 3*m + 4*x. What is the remainder when m is divided by 45?
41
Suppose -f ... | {
"pile_set_name": "DM Mathematics"
} |
21
Put 4, -1, 0.6, 55, -1/16, 1 in decreasing order.
55, 4, 1, 0.6, -1/16, -1
Sort -2, 21, 4, 4097 in decreasing order.
4097, 21, 4, -2
Put 4, 1, 67925, -3, -4, -5, 2 in ascending order.
-5, -4, -3, 1, 2, 4, 67925
Sort 37, -153, -1022 in decreasing order.
37, -153, -1022
Sort -62, -814, 8.
-814, -62, 8
Sort -19, -15, -... | {
"pile_set_name": "DM Mathematics"
} |
3/6 - 2*a. Let q be y(-1). Suppose 0 = t - q. What is the units digit of t?
6
Let j(f) = -11*f - 8. Let c(b) = -5*b - 4. Let n(l) = -13*c(l) + 6*j(l). Let m be n(6). What is the units digit of (-3)/12*m*10?
5
Let d be 19*2*1/(-2). Let s = d - -38. What is the tens digit of s?
1
Let a(t) be the third derivative of -t**6... | {
"pile_set_name": "DM Mathematics"
} |
5.
3330
Calculate the common denominator of -83/134 and 25/18.
1206
Calculate the least common multiple of 165 and 220.
660
What is the common denominator of 22/203 and -13/7?
203
What is the least common multiple of 270 and 30?
270
What is the common denominator of -34/405 and -40?
405
What is the least common multipl... | {
"pile_set_name": "DM Mathematics"
} |
y - 1. Let i(r) be the third derivative of -1/2*r**3 + 0*r + n - 1/60*r**5 - 16*r**2 - 1/6*r**4. Give i(-2).
1
Suppose 0*g = 5*g + 20. Let d = 182 + -158. Let z(o) = -o**3 + d*o - 4 - 5*o**2 - 52*o + 23*o. What is z(g)?
0
Let w(f) = -f**3 - 3*f**2 + f - 2. Suppose -2*n = 28 - 54. Suppose 0 = 4*v - n + 1. Suppose 5*h - ... | {
"pile_set_name": "DM Mathematics"
} |
75116957*y**4/2 - 2547820104*y**3 + 23962491218*y**2 - 154766688*y + 249984 = 0.
2/619, 24, 217/5
Let -33*o**5/8 - 173*o**4/4 + 8197*o**3 - 431115*o**2/4 - 1393639*o/8 - 58190 = 0. What is o?
-55, -1, -16/33, 23
Solve -2*g**3 + 410566*g**2 + 821138*g + 410570 = 0 for g.
-1, 205285
Factor 3*d**2/5 + 255589662*d/5 + 5443... | {
"pile_set_name": "DM Mathematics"
} |
+ 21 for r.
4
Solve 20*r - 3*m + 9856 = 9923, 6*r - 3*m + 3 = 0 for r.
5
Solve -m + 2*h - 449 = -459, 2*m + m + 38*h = 250 for m.
20
Solve -6*d - 6*a - 10*a + 247 = -2*d - 9*a, 12*a = 3*d - 168 for d.
60
Solve -5*z + 9*z + 7*h = 2*h - 37, 0 = z + 264*h + 1323 for z.
-3
Solve -13256*w + 13261*w + 3*d = 17, 54*w - 50 = ... | {
"pile_set_name": "DM Mathematics"
} |
+ 166. Give y(5).
61
Let l(f) = -37*f**2 - 1144*f + 137. Determine l(-31).
44
Let v(q) = -q**3 - 48*q**2 + 211*q + 137. Calculate v(-52).
-19
Let f(u) = -23*u + 269. Determine f(-32).
1005
Let z(u) = -2*u**2 - 88*u + 1196. Give z(-55).
-14
Let s(r) = -2*r**3 - 10*r**2 + 39*r + 138. Calculate s(-8).
210
Let r(t) = -36*... | {
"pile_set_name": "DM Mathematics"
} |
et p be 13/(325/(-20)) + 49/5. Let t(n) = 5*n + 8. Calculate p*u(j) + 2*t(j).
j - 2
Let o(a) = -2*a**3 - 7*a**2 + 7*a + 7. Let h(y) = y**3 + 3*y**2 - 3*y - 3. Let l = 12 - 8. Suppose 5*m = -25, 2*m + 3*m = l*p - 1. What is p*o(u) - 14*h(u)?
-2*u**3
Let c(h) = -5*h**3 + 29*h**2 - 8*h - 8. Let r(m) = -3*m**3 + 19*m**2 - ... | {
"pile_set_name": "DM Mathematics"
} |
-4, 2, 1, -0.3?
-0.3
Let q(m) = 362*m - 2164. Let g be q(6). Suppose 7*l = 5*l. What is the closest to l in g, -3, 0.2?
0.2
Let n = 0.8 + -0.3. Let w = -0.001326 + 1.001326. Which is the nearest to n? (a) w (b) -3 (c) -0.4
a
Let u be 1/(-3) + -2 + 3. Suppose x = 3*h - 7, 5*h + 36*x = 33*x + 35. What is the closest t... | {
"pile_set_name": "DM Mathematics"
} |
:52 AM and 8:01 PM?
669
What is 585 minutes before 8:13 AM?
10:28 PM
How many minutes are there between 3:34 PM and 7:05 PM?
211
How many minutes are there between 3:29 AM and 5:36 AM?
127
What is 172 minutes before 8:30 AM?
5:38 AM
How many minutes are there between 7:46 AM and 10:05 AM?
139
How many minutes are there... | {
"pile_set_name": "DM Mathematics"
} |
+ 21*n)*(-10 + 35*n - 34*n - 3) as x + w*n + c*n**2 and give w.
-65
Rearrange (-2*n - n + 4*n)*(-2*n + 0*n + 0*n) - 3 + n**2 + 3 + 0*n + 0*n + 3*n**2 + 90*n**2 + 382*n**2 + 682*n**2 + 11*n**2 to f*n + y*n**2 + a and give y.
1167
Express 15 + 334*p**3 - 15 + 1760*p - 332*p**3 in the form o + m*p**2 + f*p**3 + z*p and gi... | {
"pile_set_name": "DM Mathematics"
} |
+ 1. Let t(v) be the first derivative of 35*v**3/3 + 15*v**2 - 5*v + 4. Let z(u) = -34*g(u) - 6*t(u). Factor z(x).
-2*(x + 1)*(3*x + 2)
Let z(w) = w**2 + 16*w - 24. Let l be z(-17). Let c be 4 - l/(196/(-104)). Factor 0 + 2/7*b + c*b**2.
2*b*(b + 1)/7
Let i(l) be the third derivative of -1/420*l**7 + 1/3*l**3 + 0*l - ... | {
"pile_set_name": "DM Mathematics"
} |
- 2)*(-p**5 - p**5 - 2*p**5)).
6048*p**5
Expand -u**4 + u**4 - 2*u**4 + (1 - u - 1)*(159*u**2 - 6*u**3 - 159*u**2) - 3*u**4 + 0*u**4 + 8*u**4.
9*u**4
Expand ((4 - 5 + 3)*(-5 + 1 + 2) - 4 - 4 + 5)*(-3 + 4 + 0)*((-3 - g + 3)*(0*g - 2*g + g) + 2*g**2 + g**2 - 2*g**2 + 2711 - 2711 - 1513*g**2).
10577*g**2
Expand -n**2 + 0*... | {
"pile_set_name": "DM Mathematics"
} |
pose o = 5*o - b. What is the lowest common multiple of o and l?
540
Let a = -479 - -135. Let x be ((-628)/a)/(2 + (-34)/3). Let h = x + 3/3784. Calculate the common denominator of h and -10.
77
Let n = -559 + 389. Let t be (-2890)/(-16) - -1 - 1. Let x = n + t. Find the common denominator of -3/8 and x.
8
Calculate th... | {
"pile_set_name": "DM Mathematics"
} |
)/(-4)*-12*6/(-16). Suppose -5*m + 2*l + t = -3, 3*l = 4*m - 4. Differentiate 87*p**2 + 26*p**m + 9*p**4 - 87*p**2 + 4 with respect to p.
140*p**3
Let d(g) be the first derivative of -1539*g**4/2 - 17*g**3 - 2*g**2 - 5*g + 10118. What is the third derivative of d(w) wrt w?
-18468
Let b(r) be the third derivative of 0*r... | {
"pile_set_name": "DM Mathematics"
} |
rmine p(-5).
-22
Suppose -4*q - 10 = 2. Let t(v) = -5*v - 5. Let i(n) = -4*n - 4. Let r(g) = -7*i(g) + 6*t(g). Calculate r(q).
4
Suppose -4*i - 31 = -5*x, 0*i = 5*i - x + 44. Let m(z) = -z**3 - 10*z**2 - 4*z + 9. What is m(i)?
-36
Let p(z) = -6*z + 7. Let x be (20/12)/(-5) - (-345)/9. Let o = x + -32. What is p(o)?
-29... | {
"pile_set_name": "DM Mathematics"
} |
- -10) + 2 - (-27 - -29)?
15
Calculate 9 + (-39 - (-7 - 2 - (27 - 35))).
-29
What is 17 + -17 + (4 - (4 + 0) - 2)?
-2
What is (3282 - 3278) + (2 - -10) + 2?
18
Evaluate 20 - (3 + (1 + 1 - (-24 - -24))).
15
Evaluate 8 - (43 + -7 - 18).
-10
-7 + 8 + -2 + -22 + (8 - 1)
-16
7 + -2 - -9 - 3
11
What is the value of 2 + (7 - ... | {
"pile_set_name": "DM Mathematics"
} |
- 4 = -6*w. Calculate the least common multiple of (-42)/(-4) + w/2 and 11.
11
Suppose 3*s + 2 = 4*s. Let k be s*(1 - 27/6). Let t(z) = z**2 + 11*z + 6. Calculate the common denominator of 57/7 and t(k).
7
Let s = -1 - -1. Suppose 8 = 4*w - 4*m, -4*m - 9 = -2*w - 3. What is the common denominator of 91/6 and (s - w) + ... | {
"pile_set_name": "DM Mathematics"
} |
*i**3 + 9674*i**2 + 4*i + 10
What is the d'th term of -45035, -45041, -45047?
-6*d - 45029
What is the s'th term of 12671, 12734, 12797?
63*s + 12608
What is the w'th term of 9979, 19943, 29891, 39823, 49739, 59639, 69523?
-8*w**2 + 9988*w - 1
What is the x'th term of -2729, -2730, -2735, -2744, -2757?
-2*x**2 + 5*x - ... | {
"pile_set_name": "DM Mathematics"
} |
y + 3. Let n be x(-6). Suppose 43 = 2*l - n. Suppose 5*p = -5*b + 50, -4*b = 3*p - 2*b - l. What is the greatest common divisor of p and 36?
12
Suppose t - 2*i = 24, 4*i + 6 = 6*i. Let c = -11 + 12. Let u(h) = 11*h**2 - 1. Let a be u(c). What is the highest common factor of a and t?
10
Suppose -3*q + 15 = -5*n + 2*n, 0... | {
"pile_set_name": "DM Mathematics"
} |
*d - 1. Let b be f(-1). Let m be (10/(-4))/(b/2). Let w be ((-5)/4)/(m/(-20)). Calculate the highest common divisor of w and 1.
1
Suppose -5*v - 4*g = g + 10, 4*v = 4*g + 32. Suppose -7*o + v*o + 33 = 3*j, j - 4*o = 27. What is the greatest common divisor of 135 and j?
15
Suppose 3 - 36 = -z. Suppose -z = -11*x + 8*x. ... | {
"pile_set_name": "DM Mathematics"
} |
7 = -4*g, -12 = -3*g - 3*i. Suppose 5*j + 2 + 3 = -t, -3*t = -3*j - g. Is -3*(-1 + t)/1 a composite number?
False
Suppose -2*q = -642 - 628. Is q prime?
False
Let u = 1119 - 640. Is u a composite number?
False
Let f = 24 + -10. Is f composite?
True
Is 422 + -1 + (3 - 2)*-2 a prime number?
True
Let q(c) = 6*c**2 + 10*c ... | {
"pile_set_name": "DM Mathematics"
} |
four letters picked without replacement from pgxpggmggegmxmgxezp?
35/1938
Calculate prob of picking 2 s and 1 p when three letters picked without replacement from skksskp.
3/35
What is prob of picking 1 l and 1 x when two letters picked without replacement from {r: 4, x: 7, s: 2, l: 2, m: 3}?
14/153
Four letters picked... | {
"pile_set_name": "DM Mathematics"
} |
t g be (-9)/15 - 2*(-7145)/25. Suppose 695 = 3*f - 3*b - g, 8 = 4*b. What is the tens digit of f?
2
Let q(n) = 776*n - 2. Let y be q(-5). What is the tens digit of (-1 - -3)*(-7)/(42/y)?
9
Let l(a) = a**3 + 2*a**2 - 5*a - 6. Let u be l(-3). Suppose u = 10*p + 1239 + 811. Let y = 305 + p. What is the units digit of y?
0... | {
"pile_set_name": "DM Mathematics"
} |
e in -0.1, d, -5, 5?
5
Let t be 2/(-7) + 146/266. Let g = t + 32/95. Let w be 84/189*3/(-8). Which is the third smallest value? (a) g (b) w (c) -0.5
a
Suppose 0*s = -3*s + 2*m + 14, 4*m + 24 = 4*s. What is the second biggest value in 82, s, -0.4?
s
Let v = -85 + 66. Let q = -15 - v. Let u = 0.1 - -0.1. Which is the ... | {
"pile_set_name": "DM Mathematics"
} |
*x + 37 for h.
-4
Solve -11 = 5*m - 2*d, 0 = -m + d - 0 - 1 for m.
-3
Solve -13 = -3*k + 4*n, k = -2*n - 0*n + 1 for k.
3
Solve -119*y + 116*y - 3*l + 9 = 0, 2*l - 21 = -5*y for y.
5
Solve -4*n + 32 = 4*f, 12*n = 13*n + 3*f - 16 for n.
4
Solve -23*n - 19 = 4*r - 24*n, 5*r + 28 = -3*n for r.
-5
Solve -35 = -2*w - 5*y, 1... | {
"pile_set_name": "DM Mathematics"
} |
.
3
Let h = -68 + 83. Let z(k) = k**2 - 10*k - 69. Let b be z(h). Let m(v) = -v + v**3 - 3*v - 7 - 6*v**2 + 5*v. Determine m(b).
-1
Let i(d) = 5*d - 29. Let m be i(7). Let c(u) = 0 - u + 11 + m - 13. Let z = -3 + 6. What is c(z)?
1
Let d(z) = 50 - 3*z + 5*z**2 + 35 - 80 - z**3. Calculate d(4).
9
Let h(u) = u**2 - 6*u -... | {
"pile_set_name": "DM Mathematics"
} |
4 + 13/10*l**5 + 0 + 13*l**2. What is the derivative of b(q) wrt q?
78*q**2
What is the third derivative of 25*j**2 + 53*j**2 + 203*j**6 + 18*j**2 + 56*j**3 - 202*j**6 - 31*j**2 wrt j?
120*j**3 + 336
Suppose -14*w = -10*w - 48. What is the first derivative of -26*o**3 + w*o**4 + 26*o**3 + 11 wrt o?
48*o**3
Suppose 3*k ... | {
"pile_set_name": "DM Mathematics"
} |
first derivative of u(t). Let f(n) = -9*n. Calculate r(f(h)).
-405*h**2
Let u(b) = -b**3 + 11*b**2 - 13*b + 36. Let l be u(10). Let r be ((-6)/(-4))/(6/8). Let f(y) = -6*y**2 - l*y**r + 11*y**2. Let v(j) = -3*j. Give f(v(g)).
-9*g**2
Let f(q) = 65*q**2. Let i(l) = l + 81. Determine f(i(m)).
65*m**2 + 10530*m + 426465
S... | {
"pile_set_name": "DM Mathematics"
} |
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