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order.
2, 0, -3, -5.22
Put -1.2, 0.4, 2/13, -1, 10 in increasing order.
-1.2, -1, 2/13, 0.4, 10
Sort 1, -13, 4, 11, -3 in decreasing order.
11, 4, 1, -3, -13
Put 2278, -3, 1 in descending order.
2278, 1, -3
Sort -3, -20, 1, 5 in descending order.
5, 1, -3, -20
Put -5, 0, -2, -41, -20 in increasing order.
-41, -20, -5, -2, 0
Sort 1/2, 4, -628.
-628, 1/2, 4
Sort 2, 292, 5 in ascending order.
2, 5, 292
Put 5.5, -4, -1/3 in descending order.
5.5, -1/3, -4
Sort 2/19, 0.5, 1/6 in decreasing order.
0.5, 1/6, 2/19
Sort 2, -5, -4, 26.
-5, -4, 2, 26
Sort 95, -0.5, 0.01 in increasing order.
-0.5, 0.01, 95
Sort 3, 1524, -1 in decreasing order.
1524, 3, -1
Put 2, -4, 0, 1, 51 in increasing order.
-4, 0, 1, 2, 51
Sort -0.7, 5, 1, 0.03 in decreasing order.
5, 1, 0.03, -0.7
Put -0.4, -208, 3 in increasing order.
-208, -0.4, 3
Sort -4, -3, -1, -29.
-29, -4, -3, -1
Sort 0, 4, 10, 5, -44 in decreasing order.
10, 5, 4, 0, -44
Sort 2/7, -1, 0.3, -10/11 in descending order.
0.3, 2/7, -10/11, -1
Put -3, -2/3, -2, 2/15 in descending order.
2/15, -2/3, -2, -3
Sort -65, -4, 1, 3 in increasing order.
-65, -4, 1, 3
Sort 4, -10, 7 in increasing order.
-10, 4, 7
Sort -19, 4, -2, -1, 5 in increasing order.
-19, -2, -1, 4, 5
Sort -1, 19, -2 in decreasing order.
19, -1, -2
Put -1/6, -5, 0.05 in increasing order.
-5, -1/6, 0.05
Put 6, 17, -3, 1, 2 in increasing order.
-3, 1, 2, 6, 17
Put -68, 0.3, 2, -1/10, 1 in increasing order.
-68, -1/10, 0.3, 1, 2
Sort 3/8, 3, -1/157 in increasing order.
-1/157, 3/8, 3
Put 17, 6/7, 16 in increasing order.
6/7, 16, 17
Put -2, -1, 1449 in decreasing order.
1449, -1, -2
Put -14, -5, -1 in decreasing order.
-1, -5, -14
Put 15, 0, 4 in descending order.
15, 4, 0
Sort -103, -6, 0 in decreasing order.
0, -6, -103
Put -5, 2, 4 in descending order.
4, 2, -5
Put 7, -22, -11 in descending order.
7, -11, -22
Put -4, -1, -45, 124 in descending order.
124, -1, -4, -45
Put -9, -4, 63 in increasing order.
-9, -4, 63
Put -1, -5/6, -122, -0.5 in increasing order.
-122, -1, -5/6, -0.5
Sort 20, -6, -2 in decreasing order.
20, -2, -6
Put -5.3, 3, 4, 5 in descending order.
5, 4, 3, -5.3
Put 1, 3, 310 in ascending order.
1, 3, 310
Sort -5, -615, -5/4.
-615, -5, -5/4
Sort 1, -33, 66 in decreasing order.
66, 1, -33
Sort 17, -2, -5, 3 in descending order.
17, 3, -2, -5
Put 2/15, 3/5, -28, -2/3 in increasing order.
-28, -2/3, 2/15, 3/5
Put 202, -11, -3, -4 in descending order.
202, -3, -4, -11
Sort -9, -0.1, 0.
-9, -0.1, 0
Sort 0.35, 0.03, -2/15.
-2/15, 0.03, 0.35
Sort 136, -6, 2, -1 in ascending order.
-6, -1, 2, 136
Put -7.6, 1/5, -6 in increasing order.
-7.6, -6, 1/5
Sort 18, -1, -16, -5 in increasing order.
-16, -5, -1, 18
Put -2/21, -18, -13, 3/4 in ascending order.
-18, -13, -2/21, 3/4
Sort 1, 14, 0.4 in descending order.
14, 1, 0.4
Sort -0.4, -0.28, 34/7 in ascending order.
-0.4, -0.28, 34/7
Put 3, 7, 2 in increasing order.
2, 3, 7
Put 5, 1, 62, 4, -2 in descending order.
62, 5, 4, 1, -2
Sort 2, 73, 9.
2, 9, 73
Sort 6, -4/21, 3.
-4/21, 3, 6
Put -1/5, -0.1, 0, 2, -0.06 in ascending order.
-1/5, -0.1, -0.06, 0, 2
Sort -4, 133, 5, -3/4 in ascending order.
-4, -3/4, 5, 133
Sort -3, 158, 4 in descending order.
158, 4, -3
Sort 0.3, -3, -1/2, -0.084 in ascending order.
-3, -1/2, -0.084, 0.3
Sort -2/27, -3, 0.06, -5/4 in descending order.
0.06, -2/27, -5/4, -3
Put -1/2, 8, 0.2, 4, -2 in ascending order.
-2, -1/2, 0.2, 4, 8
Put 2/7, -0.3, -2, 14 in descending order.
14, 2/7, -0.3, -2
Sort 143, 1, 4, -3, -4.
-4, -3, 1, 4, 143
Put -1/6, 0.2, -5, 61 in increasing order.
-5, -1/6, 0.2, 61
Put 10, 8, -3, -1, 2 in descending order.
10, 8, 2, -1, -3
Sort -5, 27, 129 in decreasing order.
129, 27, -5
Sort -19, -4, 5, -3.
-19, -4, -3, 5
Put -2, 2, 6 in decreasing order.
6, 2, -2
Sort 0, -3, -2, -22, -4 in ascending order.
-22, -4, -3, -2, 0
Put 5, 85, -5, 2/5 in descending order.
85, 5, 2/5, -5
Sort 16, -2, 27 in descending order.
27, 16, -2
Sort -5, -2, 3, 381 in decreasing order.
381, 3, -2, -5
Sort -7, 1, 61, -4, -1 in ascending order.
-7, -4, -1, 1, 61
Sort -34, 0, -150.
-150, -34, 0
Sort -12, 46, -5 in increasing order.
-12, -5, 46
Sort 0.4, 0.3, -1/5, -2, -0.05 in descending order.
0.4, 0.3, -0.05, -1/5, -2
Sort -3, 3, 4, 13, -26 in descending order.
13, 4, 3, -3, -26
Sort 0, -0.1, 1/4, -48/11.
-48/11, -0.1, 0, 1/4
Sort 5, -6, 2, -2, 13 in ascending order.
-6, -2, 2, 5, 13
Sort 33, 4, -2.
-2, 4, 33
Sort -0.02, -2, 73.
-2, -0.02, 73
Sort 13, 2, -10, 9, -4 in ascending order.
-10, -4, 2, 9, 13
Put 5, 0.237, -0.1, 2 in ascending order.
-0.1, 0.237, 2, 5
Put -4, -2, 123 in increasing order.
-4, -2, 123
Put -4, 1, 4, -2, -1 in decreasing order.
4, 1, -1, -2, -4
Put 0.3, -5, 2, -3 in descending order.
2, 0.3, -3, -5
Put -8, 10, 28 in increasing order.
-8, 10, 28
Put 2, -1/2, -0.1, -1 in decreasing order.
2, -0.1, -1/2, -1
Put 1, 1/4, 4157 in decreasing order.
4157, 1, 1/4
Sort -1, 1, -3 in descending order.
1, -1, -3
Put 2.8, -8, 4, 3 in ascending order.
-8, 2.8, 3, 4
Put 71.5, 4, -0.5, -5/2 in ascending order.
-5/2, -0.5, 4, 71.5
Sort -1/6, 0, -0.17, 0.1 in ascending order.
-0.17, -1/6, 0, 0.1
Sort -1, 6, -2, 1.
-2, -1, 1, 6
Put -2/3, 14.99, 2 in descending order.
14.99, 2, -2/3
Put -0.1, 2/5, 0.35, -2, 0 in decreasing order.
2/5, 0.35, 0, -0.1, -2
Sort 0.1, -3, -6, -5 in increasing order.
-6, -5, -3, 0.1
Put -2, 2/3, -4, 6 in decreasing order.
6, 2/3, -2, -4
Put -561, -3, 0.5, 5 in increasing order.
-561, -3, 0.5, 5
Put 2, 12, -4, 0 in decreasing order.
12, 2, 0, -4
Put -7, 3, -3 in descending order.
3, -3, -7
Sort -8, -239, 4 in increasing order.
-239, -8, 4
Sort -57, -2, 0.5, 3/5 in ascending order.
-57, -2, 0.5, 3/5
Sort -0.3, -1, -0.009 in decreasing order.
-0.009, -0.3, -1
Put 0.2, 3, 2/25, -1126, 2 in descending order.
3, 2, 0.2, 2/25, -1126
Sort -1/5, 51, -2 in decreasing order.
51, -1/5, -2
Sort 125, 2, -4, 3.
-4, 2, 3, 125
Put 5, -13, -0.01 in ascending order.
-13, -0.01, 5
Sort 34, 1/6, 40.
1/6, 34, 40
Sort -1/6, 0.3, -1, -69, 1/6 in decreasing order.
0.3, 1/6, -1/6, -1, -69
Sort 0, 757, -4 in decreasing order.
757, 0, -4
Put 9, 4, 1 in ascending order.
1, 4, 9
Sort 5, 2, 0, -2 in decreasing order.
5, 2, 0, -2
Sort -20, 0, -2/9 in decreasing order.
0, -2/9, -20
Sort -4, -5, 1129, 5 in increasing order.
-5, -4, 5, 1129
Sort 5, -89, -3 in decreasing order.
5, -3, -89
Sort -16, -3, 11, 3, 1 in descending order.
11, 3, 1, -3, -16
Sort 16, 0, 2.5.
0, 2.5, 16
Put -17, 10, -5, 0 in descending order.
10, 0, -5, -17
Sort 0, -3, -7, -1, -2.
-7, -3, -2, -1, 0
Sort 1, 0.01, -4/5, 3, 7 in ascending order.
-4/5, 0.01, 1, 3, 7
Put 1/6, -3, 5, -0.05, -18 in ascending order.
-18, -3, -0.05, 1/6, 5
Sort -5, -3, 15, -8, 0 in decreasing order.
15, 0, -3, -5, -8
Sort 4, -5, 132 in ascending order.
-5, 4, 132
Put -1/7, 4/9, 100 in descending order.
100, 4/9, -1/7
Put -25, 0.2, 2, -0.03 in ascending order.
-25, -0.03, 0.2, 2
Put -0.7, 0.1, 16, -3 in ascending order.
-3, -0.7, 0.1, 16
Put -490, 0, -5, -4, 1 in increasing order.
-490, -5, -4, 0, 1
Put -11, 4, -1, 0 in decreasing order.
4, 0, -1, -11
Put 1, -5, 4, 5 in descending order.
5, 4, 1, -5
Put 3, 610, 0, -4, -2 in increasing order.
-4, -2, 0, 3, 610
Sort -5, 5, -3, 2/13 in decreasing order.
5, 2/13, -3, -5
Put 3, -3/5, -4/3, -3 in ascending order.
-3, -4/3, -3/5, 3
Sort 1, 7, -0.2, 23 in decreasing order.
23, 7, 1, -0.2
Sort -1/6, 0.5, 0.234 in descending order.
0.5, 0.234, -1/6
Sort 7, 8, 1 in descending order.
8, 7, 1
Put 1, -4, 5, -3, -158 in decreasing order.
5, 1, -3, -4, -158
Sort -1/3, 2, 0, -4, -2/5 in descending order.
2, 0, -1/3, -2/5, -4
Put -1, -2, -539 in ascending order.
-539, -2, -1
Sort 12, -6, -17, -1, -4 in ascending order.
-17, -6, -4, -1, 12
Sort -25, 0, -4, -0.01 in ascending order.
-25, -4, -0.01, 0
Put 1, 20, 44 in descending order.
44, 20, 1
Sort -2, 4, -3, 0 in decreasing order.
4, 0, -2, -3
Sort -2/29, -28, 2 in decreasing order.
2, -2/29, -28
Put 1/3, -0.4, 0.08 in decreasing order.
1/3, 0.08, -0.4
Sort 12, -4, 5, 2.
-4, 2, 5, 12
Put 11, -3, -3/5, -0.1, -0.2 in descending order.
11, -0.1, -0.2, -3/5, -3
Put -409, -3/7, -0.1, 5 in decreasing order.
5, -0.1, -3/7, -409
Sort -4, 12, -8 in decreasing order.
12, -4, -8
Sort 2, -30/7, 1 in decreasing order.
2, 1, -30/7
Sort 0.4, 12/11, 3, 0.2.
0.2, 0.4, 12/ | {
"pile_set_name": "DM Mathematics"
} |
smallest value? (a) 2/21 (b) 2 (c) -0.2077 (d) 16 (e) -6
a
Which is the second biggest value? (a) 2/11 (b) -26 (c) -1.8 (d) -2/9 (e) -4 (f) 2/3
a
What is the fourth biggest value in 0.2, 553, 4/17, 5, 2/7?
4/17
Which is the smallest value? (a) 201 (b) 8/23 (c) -2/95
c
What is the second biggest value in 6503, -1/2, -46?
-1/2
Which is the smallest value? (a) 0.1 (b) -1/31 (c) -5/9
c
Which is the fourth smallest value? (a) 0.03 (b) -2 (c) -51 (d) -3 (e) -20 (f) 0.5
b
Which is the biggest value? (a) 3/460 (b) -2/13 (c) -1/11 (d) 11
d
Which is the third smallest value? (a) 3 (b) 2 (c) 5 (d) 0.4 (e) 0.5
b
What is the smallest value in -0.5, -0.2, 0, 114, 5?
-0.5
Which is the biggest value? (a) -1/56 (b) 1/25 (c) -1 (d) 0 (e) -0.1 (f) -2/7
b
What is the second biggest value in 70, -35, -1/3, -0.5, 4, -0.05?
4
Which is the second biggest value? (a) -2/9 (b) 1 (c) 4 (d) 931/4 (e) -1/6
c
What is the fourth smallest value in 1/17, 1.5, -3, 0.24, 0.01?
0.24
Which is the biggest value? (a) 0.021 (b) 174 (c) 1/24
b
What is the smallest value in 28, -25/96, -0.3?
-0.3
Which is the third biggest value? (a) -10/9 (b) 1 (c) -3 (d) -0.16
a
Which is the second smallest value? (a) -1/4 (b) 4130 (c) -10/9 (d) -1
d
Which is the smallest value? (a) -33/8 (b) 0.032 (c) -5
c
What is the biggest value in 0.36, 12, 0.9?
12
What is the third biggest value in 373, -1/4, 2/3?
-1/4
Which is the second biggest value? (a) 4 (b) -0.5 (c) -5 (d) -158 (e) 1/7 (f) -12
e
What is the smallest value in -0.2, 2/11, 0.07, 0.1, 0.05?
-0.2
Which is the third biggest value? (a) 4 (b) 2/9 (c) -117 (d) 1/5
d
Which is the fourth smallest value? (a) -0.5 (b) -1/4 (c) 2 (d) -15808
c
What is the fourth smallest value in 7, 3, -2, 25?
25
Which is the biggest value? (a) 1/4 (b) 1/16 (c) 4 (d) -0.0312
c
Which is the third smallest value? (a) -0.4 (b) 488 (c) -0.22 (d) 0.2
d
Which is the fourth smallest value? (a) 10 (b) 5 (c) 8 (d) 0.0479 (e) 2 (f) -2/11
b
What is the second smallest value in 2/2671, -0.4, 13, -4/5?
-0.4
Which is the smallest value? (a) -0.08373 (b) 0 (c) 1/6 (d) 0.2
a
Which is the third smallest value? (a) -2.3 (b) -1/11 (c) -0.02 (d) -4 (e) -0.2 (f) -0.6
f
Which is the fifth smallest value? (a) 4 (b) 1 (c) -5 (d) 3 (e) -0.5 (f) 5
a
Which is the fourth smallest value? (a) 2 (b) -1/2 (c) 1/15 (d) 0.04 (e) -56
c
Which is the third smallest value? (a) -5 (b) -4 (c) 85723 (d) 8
d
Which is the third smallest value? (a) -5 (b) 21.7 (c) -0.2 (d) -35
c
Which is the second biggest value? (a) 4 (b) 102 (c) 3/7 (d) -12 (e) 1
a
What is the third biggest value in -0.1, 2/9, 24736?
-0.1
What is the fifth smallest value in -5, -22, 1, 10.3, -2?
10.3
Which is the smallest value? (a) 0.5 (b) 0.68 (c) -0.4 (d) 3 (e) -0.05
c
Which is the fourth smallest value? (a) -5 (b) -1/4 (c) -3 (d) 1/8 (e) -1 (f) 14.1
b
What is the smallest value in 10, -0.1, 1, -1/3, 134?
-1/3
Which is the second smallest value? (a) -8 (b) -899 (c) 4
a
What is the second biggest value in 7/22, 0.2, 5, -5, -10/7?
7/22
What is the third smallest value in 1/613, -14, 2/9?
2/9
What is the fifth biggest value in -3/8, -2/9, -1/5, 0.1, 7, -1/77?
-2/9
Which is the biggest value? (a) 0 (b) 402 (c) 4 (d) 0.3 (e) 5 (f) 17
b
Which is the fourth smallest value? (a) -3 (b) -1 (c) 180 (d) -123/2 (e) 5 (f) -1/7
f
Which is the smallest value? (a) -4 (b) -10550 (c) 2
b
What is the smallest value in -0.2, -406, 0.2, 7?
-406
Which is the second smallest value? (a) -2 (b) 0.9 (c) -5 (d) 0.09 (e) 40 (f) 4
a
What is the biggest value in 40, 1/4, -0.1245, -2, 1, -0.2?
40
Which is the second smallest value? (a) -2/11 (b) -1692/11 (c) 2 (d) -4
d
What is the second smallest value in -5, -7, 1/3, 2/5, -269?
-7
Which is the third biggest value? (a) 3/5 (b) 0.3 (c) 0.2 (d) 270/43
b
Which is the fourth biggest value? (a) -18 (b) 4 (c) 0.2 (d) -120 (e) -2/3 (f) 2
e
What is the second smallest value in 2/1171, -5, 8, -1?
-1
What is the smallest value in -7, 1/2, 1/26420?
-7
What is the fourth biggest value in 2, -4, -10/7, 1/5, -1/3, -31/2?
-10/7
What is the fifth smallest value in 2/7, -5, 5, -4228, -1?
5
What is the biggest value in -0.212, 6, -0.2, 2/19, 3?
6
What is the second smallest value in 1, 2/5, 4328/5, -0.1, 1/4?
1/4
What is the fourth biggest value in 5, 2/3, 171316, 2/13?
2/13
What is the second biggest value in -1/150, -3, -0.2?
-0.2
What is the smallest value in -2/11, -19, -64, 2?
-64
Which is the sixth biggest value? (a) -1/8 (b) 2/3 (c) -51 (d) 0.5 (e) 48 (f) -0.3
c
What is the smallest value in -1.3, -4/55, 497?
-1.3
Which is the fifth smallest value? (a) 0.09 (b) -0.06 (c) 3/5 (d) -9 (e) -2/11 (f) 2.4
c
What is the third smallest value in -5, -2/9, -0.079, 1.07, -0.1?
-0.1
What is the fourth smallest value in -13, -3.2, -51/2, -3?
-3
What is the second biggest value in -0.3, 0.11, -10.5?
-0.3
Which is the smallest value? (a) 2548/19 (b) 5 (c) -0.5
c
Which is the fourth smallest value? (a) 0.5 (b) 2/13 (c) -2 (d) -14/41 (e) 5
a
Which is the second biggest value? (a) -2 (b) 5/3459 (c) -1/5
c
What is the second biggest value in 301/5, 47, 5/3?
47
Which is the second biggest value? (a) -44 (b) -6.6 (c) 3 (d) -0.1
d
What is the third biggest value in -53, -3/5, -329?
-329
What is the fifth biggest value in -18/11, -1, -5, -2/3, -1.7, 3/4?
-1.7
What is the third smallest value in -2, 695, 8?
695
What is the smallest value in 7, -0.13, -1201?
-1201
What is the second smallest value in -1/6, 1/3, -154, -0.08, -199?
-154
Which is the fourth smallest value? (a) 3 (b) 16 (c) -2/7 (d) 122 (e) 0.4
b
What is the biggest value in -11.5, 0.047, -57?
0.047
What is the second biggest value in 2, -7/2, -2/3, 122?
2
What is the fourth biggest value in -1, 1/91, 0, 172?
-1
What is the second smallest value in -170/4211, 1/2, -5/6?
-170/4211
What is the fifth smallest value in 1/4, 1, -2/97, 2, 5?
5
Which is the fourth biggest value? (a) 5 (b) 32900 (c) -3 (d) -0.3 (e) 0.3
d
What is the second smallest value in -4, 6306, -1/5?
-1/5
What is the biggest value in 4/7, 19, -15/82?
19
What is the smallest value in 2, 2/11177, 0.3?
2/11177
What is the second smallest value in 6, 2739, -2/31?
6
Which is the third smallest value? (a) -4 (b) 2/31 (c) -0.07 (d) -0.4 (e) -5 (f) 0
d
Which is the second biggest value? (a) -5 (b) 265 (c) 3
c
What is the biggest value in 17, 0.054369, -5?
17
What is the biggest value in 12, -4.1, 66, 2/9?
66
Which is the third smallest value? (a) 42 (b) 0.02 (c) -8/9
a
What is the third biggest value in -0.5, -2.105, -2/19?
-2.105
What is the second smallest value in -2/5, 44, 39, -1?
-2/5
Which is the third smallest value? (a) -3 (b) 13 (c) 3 (d) -8 (e) -5
a
What is the smallest value in -11, 4, 204, -4?
-11
What is the smallest value in 2, -0.5, -1538, 90?
-1538
What is the second biggest value in 0, -0.076, 1, 3/4?
3/4
What is the fourth smallest value in -3/4, 4/3, 5, -0.3, 20/431?
4/3
What is the second smallest value in 5, 11/336, -1/10, -5?
-1/10
Which is the second smallest value? (a) -3 (b) -1/2 (c) -9 (d) -2339 (e) 0.05
c
What is the second smallest value in 38, -362, -1, -1/8?
-1
What is the second biggest value in -0.37, 0.3, 2.4, -0.06?
0.3
Which is the third biggest value? (a) 0.3 (b) 1/89 (c) 3 (d) -1/8 (e) -118
b
What is the smallest value in -1065, -0.4, 3, 1, 0.038, 2?
-1065
What is the smallest value in -0.3, -13, -2/3, 14, 1/14, 1?
-13
What is the third smallest value in 1, -15, -0.15, -0.2, 329?
-0.15
Which is the second smallest value? (a) 274 (b) -8/9 (c) -5
b
Which is the second biggest value? (a) 1/95 (b) -0.8 (c) 1252
a
Which is the second smallest value? (a) 25 (b) -5 (c) -4 (d) -0.3 (e) -130
b
What is the fourth smallest value in -3, 744, 4, 0.06, 16?
16
Which is the third biggest value? (a) 3 (b) 0.583 (c) 0.12 (d) -0.05
c
What is the third biggest value in 4, 1, -1/4, -111/50?
-1/4
Which is the fourth smallest value? (a) -1/4 (b) 4/109 (c) -0.2 (d) -5 (e) -4
c
What is the fourth biggest value in 0.12, -201, -8/21, 1/4?
-201
What is the biggest value in -6, | {
"pile_set_name": "DM Mathematics"
} |
4*k - 2 + (-4*k + 5*k + k)*(1 + 0 - 3) - 2*k - 2*k + 3*k in the form m + u*k and give m.
0
Rearrange -10*d - 70*d**2 - 11*d + 21*d to q*d**2 + o + t*d and give q.
-70
Rearrange 3*m**4 - 6*m**4 + 1 - 2 + 4*m**3 to the form u*m**2 + g*m**4 + i*m**3 + p*m + q and give g.
-3
Rearrange 0 - 33*f**4 - 1 - 3*f**3 + 15*f**4 + 19*f**4 to m*f + p*f**3 + d*f**4 + n*f**2 + x and give d.
1
Rearrange (-3 + 3 + 3)*(2 + 2*l**2 - 2) + (2*l - 3*l**2 - 2*l)*(-40 + 17 + 21) to g*l + p + v*l**2 and give v.
12
Rearrange 0*f + 3*f**3 + 0*f + (-518 - 12*f + 518)*(4*f + f**2 - 4*f) to the form c*f + j*f**3 + b + y*f**2 and give j.
-9
Express 0*t + 3*t - 6*t + (28 - 1 - 5)*(t + 2*t - 2*t) in the form k*t + v and give k.
19
Rearrange -25*o + 64*o - 23*o - 26*o to the form y*o + f and give y.
-10
Express 17*h - 8*h + 32*h as g*h + y and give g.
41
Express (5*a + 5*a - 5*a)*(5 - 4 - 2) - 3*a - 6*a + 5*a + 2*a - 2 + 2 in the form l + h*a and give h.
-7
Rearrange 149*i**3 + 15 - 79*i**3 - 71*i**3 to the form n*i + u*i**2 + r*i**3 + b and give b.
15
Rearrange p**4 - 3*p**4 - 4*p**4 - p**4 + p**4 + 3*p**4 + (-2*p**4 + 0*p**3 + 0*p**3)*(-3 + 2 + 0) to the form x*p**3 + g*p + w*p**2 + q*p**4 + y and give q.
-1
Rearrange (0*w + 2*w - 4 + 2)*(-2*w**3 - 9*w**2 + 9*w**2) to the form n*w**3 + x*w + q*w**4 + p*w**2 + d and give q.
-4
Rearrange 2 - 2 + 6*k - k**3 - k**3 to the form y*k**3 + n*k**2 + x + i*k and give y.
-2
Express (3*z - 2*z + 2*z)*(-280*z + 9*z**2 + 280*z) in the form i*z**2 + d*z + h*z**3 + r and give h.
27
Express 68*b + 18*b**2 - 68*b in the form u*b**2 + x*b + w and give u.
18
Express -40*i - 3 + 1 + 3 in the form b*i + s and give s.
1
Express 4*f + 0*f**3 - 2*f**3 + 0*f - f + 2 as x*f**3 + a*f**2 + s*f + h and give h.
2
Express 74*l**2 + 50*l**2 - 4*l**2 as a*l**2 + s + v*l and give s.
0
Express (x - x + 4*x)*(-3 + 2 + 3)*(-2*x**2 - 1 + 1) as y*x + j*x**3 + n + o*x**2 and give j.
-16
Rearrange 0 - 1 - 2*y**3 - 108*y + 2 - y**4 + 107*y to the form p + q*y**3 + x*y**4 + z*y**2 + u*y and give x.
-1
Rearrange -24*u**2 - 3*u**3 + 5*u + 26*u**2 - 8*u - 8*u to the form d + y*u + o*u**3 + b*u**2 and give y.
-11
Rearrange -2*y**3 + 8*y**2 - 3*y**3 - 7*y**2 + (2 - 1 - 2)*(-9*y**3 - 4*y**3 + 0*y**3) to l*y**2 + h + q*y + d*y**3 and give l.
1
Rearrange (1 - 5 + 2)*(-o + 2*o + 4*o - 3) to the form u*o + n and give n.
6
Rearrange 8*k + 11*k + 3*k to i*k + t and give i.
22
Rearrange -12*a + 1 - 2*a**3 - 449*a**2 + 449*a**2 to the form o*a**2 + m*a + s + v*a**3 and give v.
-2
Express i + 9 + 4*i - 4*i as v*i + b and give v.
1
Express -18*v + 16*v**2 + 18*v as a + u*v + l*v**2 and give l.
16
Rearrange (-u + 0*u + 7*u)*(-4*u**2 + u**2 + 5*u**2)*(-7 - 24 + 67) to o + l*u**3 + j*u**2 + d*u and give l.
432
Express (-2 + 4 + 3)*(-i - 3 + 0*i + 0) as p + u*i and give p.
-15
Express (4*r - 6 - 2*r + 3)*(r**2 - r**2 - r**2) + 10*r**2 - 10*r**2 - 3*r**3 as m*r**2 + p*r**3 + w + j*r and give m.
3
Rearrange -17 + p + 9*p**2 + p + 13 to x*p + w*p**2 + h and give w.
9
Express -46*r**2 + 120 - 120 in the form g*r + m*r**2 + o and give m.
-46
Rearrange (-2*j - j + 3 - 2)*(-j - 1 + 0*j - 3*j) to the form t + n*j + y*j**2 and give y.
12
Express (w - 3*w + 0*w)*(5 - 5 + w)*(0 + 0 + w) in the form d*w**2 + l*w**3 + m*w + n and give l.
-2
Rearrange 2*q - 3*q - 10*q to the form j*q + n and give j.
-11
Rearrange -10*i**2 + 2*i**3 + 6*i + 13*i**2 - 5*i to s*i**3 + o*i + f + h*i**2 and give h.
3
Express 53*v + 3*v**2 + v**3 - 53*v + 2 in the form y*v + x*v**3 + c*v**2 + f and give y.
0
Rearrange -3 + 1 - 3*j + 4 + j to the form s*j + h and give h.
2
Rearrange 5*y**2 - 4*y**2 + 13*y**2 + 2*y**2 to s*y**2 + n*y + q and give s.
16
Rearrange 4*m**3 - 3*m**3 + 0*m**3 + (-3 + 5 + 0)*(-4 + 2*m**3 + 4) to the form f + b*m + n*m**2 + t*m**3 and give t.
5
Rearrange 4*x - 4*x - 5*x - 3*x + 1 to j + y*x and give y.
-8
Rearrange -s - 5 + 5 + (3*s + 2*s - 32*s)*(-2 + 2 + 2) to the form a + t*s and give t.
-55
Rearrange -5*k**2 + 5*k**2 - 6*k**2 to l*k**2 + q*k + z and give l.
-6
Rearrange -14*p + 13*p + 0*p**3 - 2 + 2*p**3 to the form v*p**2 + j*p + m + a*p**3 and give m.
-2
Express (-1 - 2 + 5)*(r - r - 2*r) + 2*r + 0*r - 4*r - 12*r + 0 + 0 + 4*r - 2 + 3*r - 3*r as a*r + p and give a.
-14
Rearrange 3*f - f + 9*f + f to the form v*f + i and give v.
12
Express (-6*y**3 - 8*y**3 + 7*y**3)*(7 + 2 - 5)*(1 - 5 + 5) in the form a*y**2 + z*y + m + r*y**3 and give z.
0
Rearrange (p - p - 2*p)*(-7*p + p - p + (p + 0*p + p)*(6 - 20 + 8)) - 4*p**2 - p**2 + 3*p**2 to q*p**2 + o + l*p and give q.
36
Rearrange 118 - 118 + 15*v to f + u*v and give u.
15
Rearrange 31*k**2 - 7*k**2 - k + k to the form r + h*k + n*k**2 and give n.
24
Express 2 + 3*h + 1 - 3 - 2 as j + v*h and give v.
3
Rearrange -9*y + 2 + 665*y**2 - 666*y**2 + 0 + 0 - 2*y**3 to f + z*y**2 + b*y**3 + l*y and give z.
-1
Express -20*l - 22*l - 21*l in the form r + q*l and give q.
-63
Express (43 - 19 - 35*b - 26)*(b - b + b) in the form r*b + d + a*b**2 and give a.
-35
Express -5*u**4 - 2 + 2*u - 3*u + 2*u**4 + 0*u as r*u**4 + b*u + n*u**3 + h + g*u**2 and give b.
-1
Rearrange (-2 - 2 + 5 + (-1 - 1 + 1)*(-4 + 1 + 1) + 4 + 1 - 2 + 2 + 1 + 2)*(-4 + 4 + u) - 4*u - 2*u + 5*u to v + o*u and give o.
10
Rearrange 2*q - 8*q + 7*q + 8*q**2 - 5*q**2 to the form p*q + h*q**2 + j and give p.
1
Rearrange 7*y**2 + 2*y - y**3 + 32*y**4 + 37*y**4 - 70*y**4 to the form t*y**3 + k*y**4 + c*y**2 + g + u*y and give u.
2
Express -12*f + 4 + 43*f - 11 + 8 in the form t*f + h and give t.
31
Rearrange -34 - 24 + 64 - 2*r**3 - 2*r to the form d*r**2 + m + t*r**3 + v*r and give v.
-2
Rearrange (-3*m + 5*m - m)*(11*m - 12*m - 54*m) to the form o*m + g*m**2 + y and give g.
-55
Rearrange -40 - q + 40 + 2*q**2 to the form b + l*q + o*q**2 and give l.
-1
Rearrange -b**4 + 13 - 102*b**2 + 102*b**2 - 2*b**3 to the form h + w*b + l*b**4 + v*b**3 + d*b**2 and give l.
-1
Express 4*y**2 - 4*y**2 + 16*y**2 as l*y**2 + q + t*y and give l.
16
Rearrange 4*o - 2*o - 6*o + (2 - 3 - 1)*(3*o - o - 3*o) to k + b*o and give b.
-2
Express (k + 0 + 0)*(-2 + 2*k**2 + 2) + k**3 + k**3 + 0*k**3 - 181 + 181 + 48*k**3 in the form p*k + h*k**2 + j + r*k**3 and give p.
0
Rearrange -139*g**4 - g + 2*g**2 + 140*g**4 - g + 0*g**2 - 2 to the form y*g**3 + l*g + u*g**2 + d + x*g**4 and give d.
-2
Rearrange -2*l**4 + l**4 + 13*l - l**2 - 11*l to j*l + s*l**2 + m*l**3 + r*l**4 + a and give j.
2
Rearrange -38*b + 14*b - 41*b - 22*b to i + w*b and give w.
-87
Express -2*s**2 - 3*s**3 - 22 + 22 + (0 - s**2 + 0)*(4 - s - 4) + 3*s**3 - s**3 - 3*s**3 as k*s**3 + j*s + r*s**2 + q and give k.
-3
Rearrange -54*d - 6*d + 24*d to g*d + j and give g.
-36
Express -6*s + 0 - 2 + 2*s + (-5*s + 3*s + 0*s)*(3 + 0 - 1) + 1 - s - 1 in the form l*s + g and give g.
-2
Rearrange (-r**2 + r**2 - r**2)*(-48*r + 39*r + 37*r)*(-4 + 0 + 2) to the form n*r**2 + l + h*r + m*r**3 and give m.
56
Rearrange -21*x - 2 + 2 - 1 + 0 to m*x + j and give j.
-1
Express ((0*f + 2*f - 3*f)*(1 - 1 - 2) + 0*f + 0*f + 3*f - 1)*(34 + 9*f - 34) as s + v*f + o*f**2 and give v.
-9
Express -2 - 6*p**2 + 4*p**2 + 7 as g*p**2 + t*p + z and give z.
5
Express -5*q - 24*q - 3*q + 4*q in the form j*q + g and give j.
-28
Express (-3 + 0 + 2)*(-2 + 2*q + 2) - 6*q + 0*q + 4*q as j*q + r and give j.
-4
Rearrange 3 - 2 - 8*k - 9*k - 3 to w*k + i and give i.
-2
Rearrange -36 - y**2 + 0*y**2 + 36 - 9*y to the form i + g*y**2 + w*y and give g.
-1
Rearrange 2*g**4 + g**4 - 6*g**4 + (7 - 6*g - 7)*(3*g**3 + g**3 - 6*g**3) to b*g + q*g**4 + s + u*g**3 + w*g**2 and give q.
9
Express -h**3 + 4*h**3 - 3*h**3 + 11*h + h**3 as f*h**2 + p + k*h**3 + a*h and give a.
11
Rearrange 46*t + 72*t - 18*t - 18*t to the form p + u*t and give u.
82
Rearrange c**3 + c**3 + 0 + 4 - 6 - 6*c + c**4 to the form d + q*c + z*c**4 + i*c**3 + r*c**2 and give i.
2
Express 4*r - 2*r + r + (-1 - 2 + 2)*(-2*r - 1 + 1) + 4*r + 1 + 2 - 5*r + r + 2 - 2 as a + h*r and give a.
3
Express -7*v**4 + 5 - 5 - v**2 + 9*v**4 - 2*v - v**3 as y + t*v**3 + x*v**4 + i*v**2 + k*v and give t.
-1
Rearrange (-1 + 2 - 2 + (2 - 5 + 4)*(0 + 2 - 4) - 3 + 6 + 4)*(3*o**4 + 1 - 1) to c*o**2 + y*o + n + b*o**3 + i*o**4 and give i.
12
Express (-3 + 3 + k)*(-5*k**3 - 2*k**3 + 4*k**3) + (2*k**3 + k**3 - 5*k**3)*(2 - 2 - 4*k) in the form y*k**3 + z + f*k* | {
"pile_set_name": "DM Mathematics"
} |
in base 11?
-16275
24177 (base 13) to base 10
66177
What is 48a97 (base 11) in base 6?
1302304
Convert 44614 (base 11) to base 16.
fc75
What is -54029 (base 12) in base 5?
-12020000
Convert 513557 (base 8) to base 4.
221131233
Convert 1044322 (base 7) to base 3.
20112122221
Convert 45773 (base 11) to base 5.
4104041
What is -1020210122 (base 4) in base 9?
-502658
What is -1122472 (base 8) in base 12?
-128222
Convert 300121132 (base 4) to base 3.
101001221011
13997017 (base 10) to base 12
4830161
-20d33 (base 14) to base 4
-103121001
3143310 (base 6) to base 5
14404230
266186 (base 10) to base 5
32004221
Convert 1658887 (base 9) to base 4.
3201312223
Convert 14957c7 (base 15) to base 12.
4ba8097
Convert 131330223012 (base 4) to base 16.
77cac6
4b963 (base 13) to base 14
3904d
What is -3063143 (base 7) in base 11?
-231916
-1019b13 (base 12) to base 16
-2e23ff
Convert 367209 (base 11) to base 2.
10001101101111010111
What is -54356166 (base 7) in base 10?
-4652892
Convert -210202032213 (base 4) to base 15.
-c92b23
-ba7752 (base 13) to base 5
-2110331322
What is b0495 (base 14) in base 11?
26a1a2
What is 21000120110 (base 3) in base 6?
2543450
-116505235 (base 7) to base 15
-9aba77
What is 4d238d (base 15) in base 14?
6c57b1
-8737726 (base 9) to base 16
-479148
What is 196be (base 16) in base 10?
104126
236415 (base 13) to base 5
203422040
Convert b2266 (base 13) to base 6.
10500443
What is -1100301444 (base 6) in base 15?
-107aa1d
Convert -2045235 (base 6) to base 10.
-99671
What is -45450235 (base 6) in base 14?
-282b5d
Convert -7ebb04 (base 15) to base 4.
-113020131223
What is -220432 (base 6) in base 9?
-27102
What is -102114052 (base 6) in base 12?
-71b928
-1201024210 (base 5) to base 3
-12011210202201
3523110 (base 6) to base 16
2c772
What is 2203531 (base 6) in base 8?
326217
1aca7 (base 15) to base 4
111103000
Convert 10412034 (base 5) to base 8.
262577
12320032300 (base 4) to base 10
1803184
What is 220003030 (base 5) in base 14?
1a5b22
-112176 (base 9) to base 15
-14db3
Convert -211011112 (base 5) to base 4.
-3111310012
What is -1230164 (base 7) in base 3?
-22001111122
34c2a (base 15) to base 12
81357
Convert -a6577 (base 12) to base 15.
-44b44
Convert 12310313303 (base 4) to base 13.
4a8643
17a25b (base 13) to base 10
593604
Convert -1d358 (base 14) to base 6.
-1334030
851d (base 14) to base 7
123636
Convert -175507 (base 10) to base 5.
-21104012
What is 2676263 (base 8) in base 11?
474671
What is -10244532 (base 7) in base 13?
-245361
What is 10010111011010000 (base 2) in base 3?
10221100010
Convert -21652107 (base 8) to base 12.
-1695287
Convert -100001110010111010111 (base 2) to base 5.
-240414130
-19ca6e (base 16) to base 15
-235c17
What is -16528632 (base 9) in base 2?
-11111100111000001111001
Convert 68634a (base 12) to base 6.
55442134
Convert 15130042 (base 7) to base 6.
50435204
-26965 (base 12) to base 8
-147735
What is 12302640 (base 7) in base 10?
1110270
What is -12122101010 (base 3) in base 14?
-2c6a5
-2836315 (base 9) to base 7
-16153622
-120002322 (base 4) to base 13
-35aa2
What is 3c571 (base 15) in base 4?
233101012
What is 210332120 (base 4) in base 3?
21200202012
16167 (base 15) to base 5
4234242
142120540 (base 6) to base 13
7a85c6
Convert 171127 (base 8) to base 15.
135ae
-196353 (base 10) to base 9
-328310
43414 (base 11) to base 12
305a8
What is 1000012020101 (base 3) in base 5?
114112013
What is -14912638 (base 10) in base 9?
-31048257
64038 (base 14) to base 2
111010111101110010
Convert -41b7 (base 16) to base 10.
-16823
-321363 (base 13) to base 4
-10132210122
What is 1502b (base 12) in base 9?
44308
Convert 225410 (base 8) to base 11.
52573
What is 410442134 (base 5) in base 15?
22a999
-1819b3 (base 12) to base 5
-101333004
Convert -14cac0c (base 14) to base 4.
-212303103230
What is -1010101110010010111010 (base 2) in base 6?
-140130110
What is -669092 (base 13) in base 6?
-123503052
Convert -680542 (base 9) to base 13.
-113480
Convert 1554613 (base 7) to base 10.
215365
What is -212042320 (base 6) in base 3?
-21000220212110
-102001001020 (base 3) to base 14
-59279
Convert -52187 (base 13) to base 7.
-1152653
What is -b7a97 (base 13) in base 12?
-13b918
-d21d6 (base 15) to base 6
-22132033
Convert 368499c (base 13) to base 9.
34800053
What is 11100111011111111101010 (base 2) in base 14?
10166ca
-1001134 (base 5) to base 14
-5a82
What is 7406 (base 9) in base 14?
1da1
-21212331 (base 5) to base 13
-63693
What is -120500 (base 10) in base 6?
-2325512
36782e (base 16) to base 12
124197a
What is 61547 (base 10) in base 3?
10010102112
What is -101222110221 (base 3) in base 15?
-4408d
What is -3060116 (base 7) in base 15?
-73ce5
Convert 10111010110011011 (base 2) to base 3.
11212012100
132126 (base 8) to base 3
2100022212
-1306447 (base 8) to base 11
-229381
What is -286394 (base 13) in base 3?
-1212001000012
What is 10001011001000001000 (base 2) in base 14?
10b968
What is -110000111111100001 (base 2) in base 5?
-22410143
-13737361 (base 8) to base 11
-1847a12
4228346 (base 10) to base 4
100020103322
What is 8542045 (base 9) in base 10?
4574516
-19723 (base 13) to base 14
-140b0
-124358 (base 11) to base 2
-101111110111110011
What is 1225252 (base 10) in base 8?
4531044
What is 11000111100111000000111 (base 2) in base 13?
1480200
Convert -c2972 (base 15) to base 9.
-1138458
301425 (base 9) to base 7
1341413
816a9b (base 13) to base 4
23133310101
Convert -17102 (base 15) to base 14.
-1d1db
Convert -c2e50 (base 15) to base 3.
-1011101000110
What is -163e1 (base 15) in base 10?
-71761
Convert -cbc8c (base 15) to base 9.
-1186126
Convert 453354242 (base 6) to base 14.
115aa30
-1f73c (base 16) to base 3
-20112201102
100110101100001101100 (base 2) to base 6
43101312
-295b731 (base 12) to base 4
-133302331111
-1211ba (base 16) to base 9
-2204352
31877623 (base 9) to base 3
1001222121200210
What is -42597 (base 11) in base 13?
-22265
What is 486184 (base 11) in base 8?
2736773
Convert -45eb (base 15) to base 16.
-39fe
102052163 (base 7) to base 13
1326b27
-222200012021222 (base 3) to base 6
-1223455512
Convert -1992c07 (base 14) to base 8.
-60422527
What is -4601565 (base 7) in base 4?
-2023222221
Convert 5c78 (base 13) to base 8.
31470
-118510 (base 12) to base 13
-9c429
Convert 9866 (base 15) to base 10.
32271
6335022 (base 10) to base 9
12825013
Convert -4033a2 (base 13) to base 9.
-2724164
1c845a (base 16) to base 14
369122
Convert -874022 (base 9) to base 8.
-1772047
What is 3613332 (base 9) in base 13?
537086
What is 42202421 (base 5) in base 16?
55899
What is 621742 (base 14) in base 2?
1100100111100110101110
What is -79787 (base 11) in base 6?
-2250144
What is -10210323130 (base 4) in base 13?
-330181
30106 (base 14) to base 5
12143300
Convert -140276 (base 11) to base 4.
-311230210
What is 251871 (base 11) in base 15?
7cc74
Convert -254b0b (base 14) to base 13.
-35b017
3334301002 (base 5) to base 3
111210210022222
What is f2a4 (base 16) in base 4?
33022210
Convert -43074 (base 8) to base 7.
-103264
Convert -101111000010110110 (base 2) to base 8.
-570266
Convert -11010110000111110111 (base 2) to base 9.
-1576066
-204863 (base 15) to base 2
-101110110100010111111
What is 110210122220 (base 3) in base 2?
111101100001010100
What is -1440205 (base 11) in base 15?
-33d31b
Convert 10d5c3d (base 15) to base 2.
101110000010011000011111
Convert -6052888 (base 9) to base 5.
-1311124022
-421043203 (base 5) to base 3
-10021021010120
What is -14157b7 (base 13) in base 16?
-60efdc
What is 1630230 (base 7) in base 5?
24211223
-39796 (base 13) to base 4
-122010022
What is 8b475 (base 13) in base 11?
163449
What is -15124652 (base 7) in base 6?
-50431552
Convert 3045883 (base 10) to base 5.
1234432013
Convert 9e88 (base 16) to base 10.
40584
Convert -10224433 (base 5) to base 12.
-41aab
1214433010 (base 6) to base 12
4802766
What is -50469 (base 13) in base 4?
-203003100
-121063256 (base 7) to base 16
-732116
27182 (base 15) to base 13
44cc6
What is -551222 (base 6) in base 2?
-1011001001011110
What is 101100000101100111000110 (base 2) in base 7?
200143543
Convert -177353 (base 12) to base 3.
-202122201100
What is -228411c (base 13) in base 5?
-10210234144
What is 1043221213 (base 5) in base 8?
10663467
Convert 2124512 (base 6 | {
"pile_set_name": "DM Mathematics"
} |
Calculate -3*v(h) - 2*y(h).
-2*h**2 - 3
Let r(q) = -7*q + 19. Let x(w) = w. Determine r(k) + 5*x(k).
-2*k + 19
Suppose -39*o + 24 = -288. Let f(b) = b. Let n(z) = 5*z. Let i(k) = 11*f(k) - 2*n(k). Let d(a) = 3*a + 1. What is o*i(p) - 3*d(p)?
-p - 3
Let j(r) = -r**2 - 3*r + 3. Let m(o) be the second derivative of o**4/4 + 13*o**3/6 - 13*o**2/2 + 10*o + 2. What is 26*j(u) + 6*m(u)?
-8*u**2
Let p(k) be the second derivative of -17*k**5/20 + 17*k**4/3 - 34*k**3/3 + 386*k. Let z(s) = s**2 - s. What is -p(r) + 68*z(r)?
17*r**3
Let w(q) = -1. Let k(z) be the first derivative of -z**2 - 90. What is k(x) - w(x)?
-2*x + 1
Suppose -3*x + 5*d - 22 = 0, 2*x - 5*x + 18 = 3*d. Suppose 0 = -g - x. Let k(n) = -n**2 - n - 1. Let p(v) = v + 2. Determine g*p(o) - k(o).
o**2 - 1
Let s(p) = 3359*p - 6716*p + 3358*p + 4. Let h(g) = -1 + 3 - 3. Give -3*h(j) - s(j).
-j - 1
Suppose 3*v - 9 = -k - 4, 2*k - 9 = -5*v. Let w be (-4)/(-14) + 416/112. Let z(c) = -3 - w + 5 + 1. Let d(y) = 2*y - 2. Calculate k*z(b) - d(b).
-2*b
Let q(s) = -2*s**2 + 7*s. Let k(h) = 2*h**3 + 5*h**2 - 21*h. What is 4*k(m) + 11*q(m)?
8*m**3 - 2*m**2 - 7*m
Let c = 37 - 26. Let s be ((-14)/(-6))/(c/(-33)). Suppose 5*f = -0*f - 20. Let l(x) = 6*x**2 + 4*x - 4. Let w(y) = -11*y**2 - 7*y + 7. Give f*w(r) + s*l(r).
2*r**2
Let p be (-6 - (2 - -1)) + -2. Let v(b) = 2 - 4 + 1. Suppose 2*d = -0*d - 4. Let h(y) = y + 5. Determine d*h(c) + p*v(c).
-2*c + 1
Let w(v) = -4*v + 5. Let k(x) = x. Let o(y) = -6*k(y) - w(y). Let s(a) = a + 3. Give -4*o(i) - 7*s(i).
i - 1
Let m(i) = 290*i + 6. Let y(r) = -1454*r - 32. Calculate 11*m(t) + 2*y(t).
282*t + 2
Let w(a) be the second derivative of 7*a**4/12 - a**3/3 + a**2/2 - 37*a - 2. Let c(z) = -6*z**2 + 2*z - 1. What is 4*c(q) + 3*w(q)?
-3*q**2 + 2*q - 1
Let k(s) = -11*s + 8. Let d(p) = 7*p - 15. Let r(c) = -5*c + 11. Let f(l) = 3*d(l) + 4*r(l). What is 24*f(m) + 3*k(m)?
-9*m
Let w(d) = -13*d - 2. Let q(a) = -67*a - 9. Give -2*q(f) + 11*w(f).
-9*f - 4
Let p(o) = -o. Suppose -3 = 3*c + 3*m, -2*c - m = -1 + 3. Let d(b) = b + 2. Let w be 1 + -8 + (0 - -1). Let f be 6/4*(-4)/w. What is c*p(j) + f*d(j)?
2*j + 2
Let k(j) = j + 5. Let y(d) = 1. Let o(g) = -2*k(g) + 5*y(g). Let w(b) = b + 4. What is -6*o(u) - 7*w(u)?
5*u + 2
Let j(f) = -2*f**3 + 7*f**2 - f. Let w(z) = 48*z**3 - 13*z**2 + 3*z. Let p(i) = -3*j(i) - w(i). Let r(b) = -14*b**3 - 3*b**2. What is 3*p(v) - 8*r(v)?
-14*v**3
Let b(o) = 5*o - 7. Let g(d) = -3*d + 52 - 25 - 23. Suppose 3 = 2*l + 5*w, 4*w - 4 - 8 = 0. Calculate l*b(k) - 11*g(k).
3*k - 2
Let o(n) = -26. Let f(w) = -w + 52. Determine -4*f(z) - 7*o(z).
4*z - 26
Let s(r) = 5*r - 11. Let x(f) = 3*f - 10. What is -2*s(q) + 3*x(q)?
-q - 8
Let r(u) = -3*u - 6. Suppose -2*q - 63 = -87. Suppose 0 = 69*p - 72*p + q. Let y(j) = -2*j - 5. Calculate p*y(o) - 3*r(o).
o - 2
Let y(r) = 7*r**3 - 4*r**2 - 4*r. Let s(a) = a**2 + 11*a - 156. Let k be s(-19). Let g(v) = -7*v**3 + 5*v**2 + 5*v. Give k*g(w) - 5*y(w).
-7*w**3
Let v(a) be the second derivative of a**3/6 - 2*a. Let j(c) = 0*c - 3*c - 3*c + 4*c. Let m(f) = j(f) + 3*v(f). Let n(t) = -2*t - 1. Give 3*m(u) + n(u).
u - 1
Let h(q) = 0 - 4 - 4*q - 3. Suppose -4*v + 5*l = -12, -303*v = -307*v - 4*l + 12. Let c(o) = 2*o + 4. Determine v*h(s) + 5*c(s).
-2*s - 1
Let m(f) = 5*f**2 - 14*f - 2. Let q(p) = 2*p**2 - p + 1. Calculate m(g) - 2*q(g).
g**2 - 12*g - 4
Let t(g) = -6*g**3 - 8*g**2 - 8*g + 3. Let i(l) = 4*l**3 + 7*l**2 + 6*l - 2. What is 4*i(w) + 3*t(w)?
-2*w**3 + 4*w**2 + 1
Let o(w) be the first derivative of 33*w**4/2 - 9*w**3 - 27*w**2/2 + 27*w - 66. Let l(b) = 5*b**3 - 2*b**2 - 2*b + 2. What is 27*l(z) - 2*o(z)?
3*z**3
Let z(q) = -4*q**2 + 3*q - 13. Let r(f) = -f**2 + f - 4. Let t = 400 + -407. Give t*r(c) + 2*z(c).
-c**2 - c + 2
Let x(d) = 10*d**3 + 4*d**2 + 3*d + 15. Let l(u) = -21*u**3 - 9*u**2 - 7*u - 32. What is -6*l(v) - 13*x(v)?
-4*v**3 + 2*v**2 + 3*v - 3
Let o(a) = -4*a**3 - 29*a**2 - 2*a + 4. Let g(h) = -9*h**3 - 58*h**2 - 5*h + 9. Give -2*g(l) + 5*o(l).
-2*l**3 - 29*l**2 + 2
Let h(y) = y**2 + 2*y - 1. Let k(b) = 1187*b**2 - 8*b + 4. What is -4*h(i) - k(i)?
-1191*i**2
Let o(n) = -4*n**2 + 2*n + 2. Let v = -625 - -643. Let u(p) be the first derivative of 17*p**3/3 - 9*p**2/2 - 9*p + 3. Determine v*o(i) + 4*u(i).
-4*i**2
Let a(f) = -2*f**3 - 6*f**2 + 2*f. Let w be 6/5 + (-32)/(-40). Suppose w*u + 0*u = -8. Let p(t) = 2*t**3 + 5*t**2 - 2*t. Calculate u*a(o) - 5*p(o).
-2*o**3 - o**2 + 2*o
Let f = 15 + -12. Let d(n) = -n**2 - 2*n - 2. Let q(t) be the first derivative of t - 31. What is f*q(l) + d(l)?
-l**2 - 2*l + 1
Let o(d) = -37*d**3 - 2*d. Let n(i) = 19*i**3 + i. Give 7*n(r) + 3*o(r).
22*r**3 + r
Let p(l) = -14*l**3 - 131*l**2 + 17*l. Let b(y) = -5*y**3 - 44*y**2 + 6*y. Determine 17*b(k) - 6*p(k).
-k**3 + 38*k**2
Let a(z) = z**2 - z - 1. Let b(o) = -15*o**2 + 8*o + 13. Let f(l) = -13*l**2 + 8*l + 12. Let j(g) = -4*b(g) + 5*f(g). What is -6*a(q) - j(q)?
-q**2 - 2*q - 2
Let z(k) = 31*k**2 + 43*k - 52. Let b(m) = 11*m**2 + 15*m - 18. Let a(i) = -17*b(i) + 6*z(i). Let d(p) = p - 1. Determine 2*a(q) - 14*d(q).
-2*q**2 - 8*q + 2
Let d(z) = 6*z**2 + 18. Let n(k) = -1. What is -d(i) - 6*n(i)?
-6*i**2 - 12
Let k be (-4)/10*5*2. Let y(d) = -3 - 115*d + 82*d - 2. Let u(a) = -11*a - 2. Let c(x) = 17*u(x) - 6*y(x). Let i(f) = -6*f + 2. Determine k*c(l) - 7*i(l).
-2*l + 2
Let y(l) = -l**3 + 5*l + 2. Let m(k) = -84*k**3 + 4*k + 10 - 5*k - 8 + 83*k**3 + 5*k. What is 6*m(d) - 5*y(d)?
-d**3 - d + 2
Let n(p) = p + 1. Let z(a) = -a**3 + 7*a**2 - 6*a - 2. Let b be z(6). Let x = b - -1. Let y(i) = 3*i**2 - 2*i**2 + 6 + 4*i - 2 + 0*i. Give x*y(d) + 4*n(d).
-d**2
Let m(v) = -218*v**3 - 19*v**2 + 10*v - 13. Let h(b) = 145*b**3 + 14*b**2 - 7*b + 9. Determine -7*h(f) - 5*m(f).
75*f**3 - 3*f**2 - f + 2
Let w(s) = -2*s**2 + s + 2. Let y(f) = -1 - 11*f**2 - 18*f**2 + 25*f**2 + 4 + 2*f. Determine -7*w(u) + 4*y(u).
-2*u**2 + u - 2
Let x(t) = -6*t**2 - 3*t - 2. Let r(m) = 12*m**2 + 7*m + 5. What is 2*r(s) + 5*x(s)?
-6*s**2 - s
Let c(u) = -3*u - 7 - 2*u + u. Let i(d) = 7*d + 2*d + 0 - 8*d + 2. Let v(q) = 6*q**2 - q. Let t be v(-1). Determine t*i(a) + 2*c(a).
-a
Let o(v) = 52*v**2 + 63*v - 21. Let m(c) = -15*c**2 - 19*c + 7. Let j(l) = 7*m(l) + 2*o(l). Let q(t) = -3*t + 5*t + 1 - 3*t. What is 2*j(y) - 14*q(y)?
-2*y**2
Let b(m) = -5*m**2 + 4*m + 1. Let k(p) = -5*p**2 + 3*p + 1. Calculate 4*b(a) - 5*k(a).
5*a**2 + a - 1
Let q(z) = -5*z - 2. Let l = -5 - -3. Let u be 8 - 3 - (2 + l). Let r(c) = -4*c - 4 + 9 - 2 - 5. Give u*q(f) - 6*r(f).
-f + 2
Let f(u) = -9*u**2 + 5*u + 28. Let w(t) = -t**2 + t + 4. Let n(o) = -f(o) + 7*w(o). Suppose 2*m = -17 + 7. Let j(r) = -3*r**2 - 4*r. Give m*n(l) - 3*j(l).
-l**2 + 2*l
Suppose -2*l = 4 - 10. Let q(h) = l + h + 1 - 3*h - 3. Let j(z) = -z. What is -3*j(w) + q(w)?
w + 1
Let d(m) = -m**2 + 4*m + 3. Let k(s) = -s**2 + 5*s + 4. Suppose -x - 4*x + 8 = -2*i, 0 = x - 5*i - 20. Suppose -2*c - 2*c + 20 = x. Calculate c*d(z) - 4*k(z).
-z**2 - 1
Let w(j) = -39*j**3 + 117*j**2 + 117. Let h(b) = -b**3 - b**2 - 1. Calculate -117*h(f) - w(f).
156*f**3
Let m(v) = v. Let i(d) = -7*d - 15. Let t(o) = 77*o + 168. Let f(p) = 56*i(p) + 5*t(p). Determine f(l) + 2*m(l).
-5*l
Let r(q) be the first derivative of -4*q**3/3 + q**2 + 7*q - 91. Let a(z) = 2*z**2 - z - 4. Let f = 4 + -7. What is f*r(l) - 5*a(l)?
2*l**2 - l - 1
Let a(z) = 2*z - 3. Let r be (-2 - -36)*2/(-4). Let j = 13 + r. Let m(v) = -2*v + 4. Determine j*a(p) - 3*m(p).
-2*p
Let f(u) = -5*u**3 + 4*u**2 - 6*u + 11. Let b(y) = y**3 - y**2 + y - 1. Give -4*b(k) - f(k).
k**3 + 2*k - 7
Let q(f) = 21*f**2 - 27*f - 1. Let v(m) = 8*m**2 - 13*m - 1. What is 3*q(d) - 7*v(d)?
7*d**2 + 10*d + 4
Let w = -41 + 22. Let n = w + 14. Let q(b) = 4*b - 1. Let v(y) = -6*y + 2. Determine n*v(h) - 8*q(h).
-2*h - 2
Let d(y) = -17*y**2 + 5*y - 134. Let m(r) = 11*r**2 - 3*r + 88. Determine -5*d(o) - 8*m(o).
-3*o**2 - o - 34
Suppose 0 = 6*r - r + 15. Let w(o) = 2*o + 2. Let j(n) be the third derivative of n**4/6 + n**3/2 - 29*n**2. Calculate r*j(h) + 5*w(h).
-2*h + 1
Let j(h) = 22*h**3 + 5*h**2 - 8*h + 2. Let v(w) = -11*w**3 - 2*w**2 + 4*w - 1. Calculate 2*j(f) + 5*v(f).
-11*f**3 + 4*f - 1
Let s(w) be the first derivative of -5*w**3/3 + 2*w**2 + 6*w + 13. Let j(t) = -5 + 1 + 14*t - 6*t**2 + 11 - | {
"pile_set_name": "DM Mathematics"
} |
t = 2.05 + -0.05. Put t, -0.4, -1/5 in decreasing order.
t, -1/5, -0.4
Let k(m) = m + 3. Let w be k(-3). Let g(u) = u**3 + u**2 - 6. Let h be g(0). Let x = -4 - h. Sort -2, x, w in descending order.
x, w, -2
Let q = 4 - 4.34. Let d = -1.94 - -2. Let t = d - q. Sort t, -1/2, 1 in decreasing order.
1, t, -1/2
Let b be (-10 + 11)/(1/(-2)). Sort 1, -5, b in decreasing order.
1, b, -5
Let h = 18 + -17. Let v = 5 - 10. Sort 5, h, v in descending order.
5, h, v
Let i = -6.1 + 5.6. Sort 2/9, i, 0.1, -1/3 in increasing order.
i, -1/3, 0.1, 2/9
Let h = -7 - -2. Let y = 0 - 2. Put y, h, 0 in descending order.
0, y, h
Let b = -36 + 25. Let y = b - -7. Let r = 14.1 + -14. Put r, y, 2/9 in descending order.
2/9, r, y
Let p = -8 - -8.8. Let z = p + 0.2. Let o = -10 - -7. Sort -0.3, z, o.
o, -0.3, z
Let r = 1.33 + -0.33. Put r, -4, 2/17 in decreasing order.
r, 2/17, -4
Suppose -2*b = -2*y - 14, y + 5*b - 16 = 1. Sort 0.02, y, 1/6 in decreasing order.
1/6, 0.02, y
Let s be 3/(-30)*10/4. Let r = -3.4 - -4. Let u = -1 + r. Put 0, s, u in increasing order.
u, s, 0
Let g(c) = -2*c**3 + 2*c + 1. Let t be g(-2). Sort 2, t, -4, -2 in decreasing order.
t, 2, -2, -4
Let u = -355 - -6037/17. Sort -0.06, u, 3/4, 4.
-0.06, u, 3/4, 4
Let v = -7 + 9. Let l(t) = -1. Let f(b) = -b - 2. Let q(c) = -3*f(c) + 8*l(c). Let g be q(v). Sort -3, 2, g in increasing order.
-3, 2, g
Suppose 3*c + 19 = 13. Put 3, 13, c, -5 in ascending order.
-5, c, 3, 13
Suppose -d = 2 + 2. Sort 2, 0, d, 7.
d, 0, 2, 7
Let m = 15 - 43/3. Put 4, m, 0.4 in descending order.
4, m, 0.4
Suppose -3*a + 1 = 10. Let h(p) = -p**3 + 5*p**2 + 6*p + 1. Let n be h(6). Suppose -1 = 2*c - 3*j, 2*c - 5*c = -5*j + n. Sort -1, a, c in ascending order.
a, c, -1
Let x = 3 + -11. Let g = x + 7.7. Let k = g + 0.4. Put k, 2/13, 0.4 in decreasing order.
0.4, 2/13, k
Let i = 4.22 + -0.22. Sort -1, i, -2 in ascending order.
-2, -1, i
Let m = 0.069 - 33.069. Let d = -40.4 - m. Let p = d - -7. Sort p, 3, 0 in increasing order.
p, 0, 3
Let y = -11/24 + 1/8. Put -1/7, y, 0 in descending order.
0, -1/7, y
Suppose -14 = -3*b + 4*a, -4*b + 7 = 2*a - 5*a. Let z = 2 + b. Sort z, -3, -4 in decreasing order.
z, -3, -4
Let v = -2 - -1. Let j = -2 - v. Let s be 14/18 - (0 + 1). Put j, s, 0.3 in descending order.
0.3, s, j
Suppose 5*r - 4*h - 93 = 0, 0 = 4*r + 3*h - 6*h - 75. Sort -3, r, 1 in increasing order.
-3, 1, r
Let h be (-4)/(-14) - (-4)/(-14). Sort 1, h, 4 in increasing order.
h, 1, 4
Let t = -0.21 + 0.13. Let j = t - 0.02. Put -4/9, 1/3, j in increasing order.
-4/9, j, 1/3
Suppose 0 = -2*h + 3*w + 10, 4*w - 8 = 2*w. Sort -2, h, 2, 0 in ascending order.
-2, 0, 2, h
Let g be 1*((-5)/(-2) + 24/16). Put -8, g, -1, 1 in ascending order.
-8, -1, 1, g
Let s = -27 + 19. Let c = 7.6 + s. Sort -1/7, c, 1 in decreasing order.
1, -1/7, c
Suppose 8 - 1 = -3*l - z, 5*l + 3*z + 13 = 0. Sort 5, 3, l in decreasing order.
5, 3, l
Suppose -5*k - 65 = 3*i, 3*i - 2*k + k + 95 = 0. Let b be 2/(-7) - i/56. Sort -3, b, 2 in decreasing order.
2, b, -3
Let y = 300 + -298. Let w be (1/(-2)*0)/1. Sort y, w, -14 in descending order.
y, w, -14
Suppose 17 = 3*x + 5. Suppose 0 = 3*i - 12, -k + i = -3*k + x. Put -2, k, 3 in descending order.
3, k, -2
Let b = 25370/329 + -435/47. Let m(x) = -x**2 - 17*x - 4. Let a be m(-8). Let j = a - b. Sort 4, 0.3, j in decreasing order.
4, 0.3, j
Let f be 27/6 + (-2)/4. Let l be ((-2)/(-6))/(1/(-3)). Let q be -2*(l - 6/(-4)). Put q, 1, f in increasing order.
q, 1, f
Let h(r) = 4*r**3 + r**2 - 2*r + 1. Let u be h(1). Let n be 0 - (-4)/4*1. Let t = 1 + n. Sort t, u, -2.
-2, t, u
Let k be (-3)/(((-18)/(-8))/(-3)). Suppose 3 - 5 = 2*h. Suppose -3*x + 6 = -w + 15, 0 = -4*w + 2*x - 4. Sort k, h, w in descending order.
k, h, w
Let c = -9 - -13. Suppose 0 = 3*y - 2*y + c. Let f = 9 + y. Sort -3, f, -1 in descending order.
f, -1, -3
Let w(c) = -c**2 - 11*c. Let r be w(-11). Suppose 25 = -0*s + 5*s - 3*l, -4*s + l + 13 = r. Let j = -7 + 5. Put 3, j, s in increasing order.
j, s, 3
Let y(l) = -2*l**2 - 27*l - 10. Let m be y(-13). Sort m, 0, -1, -3/7 in decreasing order.
m, 0, -3/7, -1
Let k(t) = -t**3 + 11*t**2 - 11*t + 8. Let c be k(10). Let i = -3 + 6. Suppose u + 2 = i*u. Sort u, c, 0 in descending order.
u, 0, c
Let u = 5 - 2. Suppose 0 = 4*l + j - 45, 0*l - 3*j - 15 = -u*l. Suppose 0 = -v + 5*y - 11, 0 = -2*y + 7*y - l. Put -3, v, 2 in ascending order.
-3, v, 2
Suppose 0 = 7*p + 39 - 4. Sort p, -2, 0, 2 in ascending order.
p, -2, 0, 2
Let r(z) = z**2 + 18*z. Let y be r(-18). Sort -3/2, y, -2/5 in decreasing order.
y, -2/5, -3/2
Let h = 0.96 + -2.96. Let s = 0.1 - 0.3. Sort s, h, 1/2 in decreasing order.
1/2, s, h
Let o = -5 + 4.97. Let n = -4.97 + o. Let l = -3.1 - -3. Sort l, -2, n in increasing order.
n, -2, l
Let y be (-26)/(-8) + 1/(-4). Let m(g) = -26*g - 106. Let b be m(-4). Suppose 4*a = 7 + 13. Sort a, y, b in descending order.
a, y, b
Let z = -1 + 1. Suppose d = -3*y + 8, 5*y + 2*d - 7 - 7 = 0. Suppose 2*n - y = 8. Sort -3, z, n in descending order.
n, z, -3
Let v = -5 + 5.4. Put -0.2, v, -24 in descending order.
v, -0.2, -24
Let w be 2*27/6 + -4. Sort w, -4, -12, -0.5 in decreasing order.
w, -0.5, -4, -12
Suppose 48 = 4*n - 4*d, -5*d = n - 12 - 6. Sort 2, 4, n.
2, 4, n
Let f = 10 + -6. Put f, -5, 5 in descending order.
5, f, -5
Let z be (-4)/(-9)*(-9 - 6). Let q = z - -13/2. Sort 0.5, q, -1/7 in decreasing order.
0.5, -1/7, q
Let z(u) = -u**2 - 11*u - 16. Let h be z(-5). Put -1/3, 3, h in decreasing order.
h, 3, -1/3
Let z = -82.7 - -83. Sort -3, 4, 0, z in decreasing order.
4, z, 0, -3
Let i = 46 - 46. Let k = -0.07 + 0.01. Put k, i, 1 in decreasing order.
1, i, k
Let g(j) = -j**2 - 7*j + 10. Let d be g(-9). Let i = d - -8. Sort -4, i, 2.
-4, i, 2
Let l(m) = m**3 - 7*m**2 - m + 4. Let y be l(7). Let p(c) = -c**2 - 2*c. Let g be p(y). Let d = 2 + -1. Put 5, d, g in decreasing order.
5, d, g
Let z = 9 - 4. Sort z, -3, -2.
-3, -2, z
Let h(u) = u - 2. Let g be h(5). Suppose g*v - 8*v = 5. Let m be 0/2*v - -5. Put -4, -3, m in descending order.
m, -3, -4
Let r = 0.4 - -0.3. Let v = r + -0.5. Sort v, 4, -2 in ascending order.
-2, v, 4
Suppose -x = 2*x + 15. Put 4, x, -2 in increasing order.
x, -2, 4
Let k be 2/5 + 34/(-10). Sort 1, -1, 2, k in descending order.
2, 1, -1, k
Let h be 24/(-7) - (-3)/7. Sort -2, -5, h in descending order.
-2, h, -5
Suppose -3*o + 3 + 9 = 0. Let z = o + -9. Sort z, 0.3, -0.03 in ascending order.
z, -0.03, 0.3
Let p = 42 + -42. Put 10, p, -1 in decreasing order.
10, p, -1
Let k = -105.7 - -106. Sort 0, k, 0.2, -7 in descending order.
k, 0.2, 0, -7
Suppose -2*p + 2*g = -130, 5*p = -2*g + 31 + 259. Let i be (-65)/p + 2/6. Put 2/11, 5, i in descending order.
5, 2/11, i
Let d = -71.6 + 72. Sort 2/17, d, 7, -2 in descending order.
7, d, 2/17, -2
Let r be (-7 - -1)*3/6. Let a = r + 1. Sort -1, a, 1 in ascending order.
a, -1, 1
Let i = -3 - -1. Sort i, 5, 3.
i, 3, 5
Let a(w) = -w**2 - 1. Let h(r) = -r**2 + r + 3. Let p(x) = -2*a(x) - h(x). Let s be p(-1). Suppose s*q + 2*q = 25. Sort 4, q, -3 in descending order.
q, 4, -3
Let k = -102 + 716/7. Suppose 4 = 5*u - 6. Sort k, u, 1/5 in decreasing order.
u, k, 1/5
Let s = -0.54 - -0.04. Let b = -0.6 - -1. Let h = b - 0.3. Put s, h, -2/7 in descending order.
h, -2/7, s
Suppose 0 = -5*y - 5*w + 4*w - 12, 3*w = 2*y + 15. Let s = 5 + -7. Sort s, y, 2 in ascending order.
y, s, 2
Let g = -5.8 - -0.8. Let a = g + 4. Put -2/3, -6/11, a in descending order.
-6/11, -2/3, a
Let h = 0.18 + -0.48. Let i = 0.2 - 0.3. Put h, i, 0.2 in descending order.
0.2, i, h
Let i be 2 + (-2)/(-2) + 1. Suppose -i*a - 2 = -6*a. Sort a, 2, 3.
a, 2, 3
Let t be (7832/48)/((-21)/6). Let q = -12413/3 - -4184. Let v = t + q. Put 0, v, 5 in decreasing order.
5, 0, v
Let z = -1.02 - -1. Let l = 0.28 - z. Let v be ((-12)/(-10))/((-9)/(-30)). Put -0.2, l, v in descending order.
v, l, -0.2
Let v(a) = a + 6. Let k be v(-5). Suppose -w = -k + 5. Sort -3, 3, w.
w, -3, 3
Let f = -3 + 7. Suppose -x = x - f. Sort x, -2, -5 in ascending order.
-5, -2, x
Let l(f) = -2*f + 14. Let x be l(6). Suppose 0 = x*z - z - 3*d + 10, 4*d - 6 = 5*z. Put 1/3, z, 3/5 in descending order.
z, 3/5, 1/3
Let k be 6/(-4)*(-72)/27. Put 3, k, 0.2 in decreasing order.
k, 3, 0.2
Suppose 19 = -3*o + 4. Sort 0, 1, o, -4 in descending | {
"pile_set_name": "DM Mathematics"
} |
3 - 4*w**4 + 16*w**3 + 28 - w**3 to n + p*w**3 + d*w + z*w**4 + j*w**2 and give p.
1
Rearrange (-28*u**3 + 151*u**2 - 151*u**2)*(1 - 3 - 2) to the form f*u + v*u**2 + s + r*u**3 and give r.
112
Rearrange 30 + 118*b - 408*b - 30 - 1010*b to o + z*b and give z.
-1300
Rearrange -2 + 10*d + 15*d - 131*d to the form s + i*d and give s.
-2
Express (-32 - 17 - 14)*(-5*k**2 - 5*k**2 - k**2) + 3*k**2 + 3*k**2 - 7*k**2 as h*k + v*k**2 + r and give v.
692
Rearrange -4*s + 3*s + 2*s + (4 - 4 + 2)*(-3*s + s + 3*s) + (3 - 4 + 3)*(13*s + 15*s - 19*s) to m + b*s and give b.
21
Express -35 + 7 + 2*a + 29 - 14*a**3 - 2*a**2 + 2*a**4 in the form l + w*a + q*a**3 + c*a**2 + y*a**4 and give q.
-14
Express (-5*o + 3*o + 0*o)*(0*o**3 - 3*o**3 + o**3) - 2*o**4 - o**4 + o**4 + 76*o**4 + 5*o**4 + 27*o**4 as f*o**2 + b*o + u*o**3 + x + p*o**4 and give p.
110
Rearrange 8 - 37*l**2 - 17*l**2 + 21*l**2 + 1 - l - 4 to w*l + n + i*l**2 and give n.
5
Express (3 + 6 - 2)*(-5 + 5 + 3)*(-3*j + 2*j + 3*j) + 2 - 2*j - 2 as t + u*j and give u.
40
Rearrange (-4 + 4 + 3*s)*(14 - 8 + 15) + 28 - 28 + 3*s to o*s + n and give o.
66
Express (3 - 3 - 2)*(-t + 5*t - 3*t) + 191*t + 410*t + 123*t as g*t + j and give g.
722
Express (-12*n**2 + 193*n**2 - 36*n**2)*(-3 + 2 + 3)*(-n + 3 - 3) in the form h + w*n + g*n**2 + x*n**3 and give x.
-290
Rearrange 3*k - 2 + 2 + (-193*k - 116*k + 20*k)*(3 - 5 + 1) - 2*k + 0*k + k to p*k + t and give p.
291
Express (-2*d + 2*d + 3*d**2)*(271 - 271 + 21*d) + (3*d + d - 5*d)*(d**2 + 3*d**2 - 6*d**2) in the form u*d**3 + i + p*d + s*d**2 and give u.
65
Rearrange 1377 - 1499*i**2 - 537 + 1498*i**2 to o*i + d*i**2 + w and give d.
-1
Rearrange (-5 - 1 + 4)*(-5*h**2 + 19*h**2 + 7*h**2) - h**2 - 9*h + 3*h - 11*h to d*h + f + v*h**2 and give v.
-43
Rearrange 7*g**2 + 9*g**3 + 4*g**3 + 3*g**3 - 3*g - 21*g**3 to f*g**3 + c*g + d + h*g**2 and give f.
-5
Rearrange (2 + 3 - 4)*((2 + 1 - 1)*(1 - b - 1) - 4*b - 2*b + 4*b + 229*b - 227 + 227) to the form u + o*b and give o.
225
Express (-o + 2*o - 3*o)*(-9*o - o - 10*o) - 2*o**2 - o - 2 + 2*o**2 + 3*o**2 as h*o + l + s*o**2 and give h.
-1
Express -168*p + 5 - 170*p + 333*p as j*p + w and give w.
5
Express (2 + 1 - 5)*(-233*a - 6*a**4 + 233*a - 3) as t*a**4 + h*a**3 + s*a + x + o*a**2 and give x.
6
Express 2047*j - 106 + j**2 - 2*j**2 - 2047*j in the form c*j + h*j**2 + m and give c.
0
Express -38*u**2 + 79*u**2 - 51*u**2 - 75*u + (3*u + 2*u - 7*u)*(-1 + 1 - 2*u) in the form b*u**2 + o + z*u and give z.
-75
Express (83*t + 18*t - 10*t)*(2 - 4 - 1) in the form w + a*t and give a.
-273
Rearrange 2*i**2 + 3*i**3 - 4 + i + 75*i**4 + 77*i**4 - 2*i**3 - 154*i**4 to f + p*i + x*i**2 + t*i**3 + v*i**4 and give p.
1
Rearrange -4 + 4 + o**2 + (-427 + 427 - 18*o**2)*(3 + 0 + 0) to the form m*o + i + h*o**2 and give h.
-53
Rearrange (173*j - 383*j - 283*j)*(-2 - 1 + 1)*(2 - 2 - 2)*(-4 - 1 + 3) to y*j + o and give y.
3944
Express -321*i - 737*i - 583*i - 339*i + 274*i as v + g*i and give g.
-1706
Express 5 - 5 + 8*v + (-3 - v + 3)*(0 - 1 + 3) + 2*v - 3*v - v + 0*v + v - 2*v as j*v + d and give j.
3
Rearrange 226*y**4 - 228*y**4 - 2*y + 19*y - 12*y**2 to the form x*y**3 + w*y**4 + p*y**2 + t*y + n and give x.
0
Rearrange ((0*w - w + 3*w)*(-170*w**2 + 321*w**2 - 207*w**2) - 2*w**3 - w**3 + w**3)*(3*w - w + 0*w) to the form s*w**4 + a*w**3 + t*w**2 + j*w + f and give j.
0
Rearrange (0 + 0 - 2*n + n - 4*n + 5*n + (-5 + 3 + 3)*(n - 2 + 2) + 2*n - 4*n + 3*n - 4*n + 2*n + n)*(-8*n + 15*n - 22*n) to p*n**2 + o*n + s and give p.
-15
Express 14*c - 53*c**3 + 51*c**3 + c**2 - 1 - 3*c**2 - c**4 as q*c**2 + x + m*c**3 + t*c**4 + z*c and give z.
14
Rearrange 3*b - 4*b + 6*b + (-5*b + 3*b + 0*b)*(2 - 3 - 1) - 2*b + 0*b + 4*b - 1 + 0 - 10*b + 7*b to the form g*b + z and give z.
-1
Express (9*u - 8*u - 59*u)*(-1 - 1 - 1) - 2*u + 4*u + 0*u as o + f*u and give f.
176
Rearrange 49 - 17 - x**3 - 17 + x**4 - 11 + 5*x**2 to the form q*x**3 + y + j*x**4 + o*x**2 + s*x and give y.
4
Express 25*u**2 - 63*u**2 - 59*u**2 - 38*u**2 as p + i*u + b*u**2 and give i.
0
Rearrange 5 - 5 - 2*a + (-3 + 1 + 0)*(a + 0 + 0) - a + 4 - 4 - 4*a - 2*a + 5*a + (-3 - 2 + 7)*(12*a + 22*a - 53*a) to n*a + u and give u.
0
Express 2 + 22*d**3 - 2*d - 3 + 7*d**3 + 2*d**3 + 4*d**3 in the form r*d + b*d**3 + i + w*d**2 and give b.
35
Express ((2*u + 2 - 2)*(4*u + 0*u - 2*u) - 21*u**2 + 28 - 28 + (3 - 3 - 1)*(3*u**2 + 2*u**2 - 6*u**2))*(12 - 8 - 7) in the form a*u + o*u**2 + b and give o.
48
Rearrange 3*h**3 - 5*h**3 + 5*h**3 + (-4 + 4 - 1)*(2*h**3 - h**3 - 3*h**3) - 35*h**3 - 49*h**3 + 18*h**3 to the form f*h**3 + n*h**2 + i + w*h and give n.
0
Express (-19*j + 58*j - 25*j)*(40 - 20 + 61) as r + z*j and give z.
1134
Express 6*z + 0*z - 7*z**2 - 5*z + z - 2*z**3 - 3 as u*z**2 + v*z**3 + a*z + n and give n.
-3
Rearrange -2*b**4 + b**4 + 3*b**4 + (2 - 3 - 2)*(-40*b**4 - 87*b**4 - 79*b**4) to the form v*b + n*b**2 + o*b**4 + m + c*b**3 and give o.
620
Rearrange 455*m + 13479 - 13479 to the form c*m + b and give c.
455
Rearrange -58*v + 8*v - 132*v**4 - 2 - 134*v**4 + 261*v**4 to the form z*v**3 + k*v**4 + l + p*v + b*v**2 and give l.
-2
Rearrange -6*m**2 - 24*m**2 - 4*m**2 + (m - 2 + 2)*(-m + 3*m + m) to the form i*m**2 + p*m + k and give i.
-31
Express -k**4 - k**3 + 4*k**2 + 5*k**3 + 12810 - 12813 as v*k**2 + d*k**4 + z + r*k + j*k**3 and give j.
4
Rearrange c**2 - c**2 - 6*c + 7*c - 17 - 2*c**2 - 10 to the form l*c + s*c**2 + u and give s.
-2
Express 2 - 9*k**2 + 0*k - 3*k + 4*k + 13*k**2 - 2*k - 8*k**3 in the form s*k**2 + i*k + x*k**3 + h and give s.
4
Express (133*y - 2*y - 13*y)*(9 + 10 - 13) as s + v*y and give v.
708
Express -47 + 4*u**3 + 3*u - 5*u**3 - u**3 + 49 - 19*u**2 in the form o + z*u**2 + w*u**3 + y*u and give w.
-2
Express 16*g + 44751 + 2*g**2 - 44751 in the form k + u*g**2 + c*g and give u.
2
Express -2*i**3 + 2*i**2 + 22*i + 415 - 415 in the form w*i**2 + l + y*i**3 + d*i and give w.
2
Express (b - 3*b + 32*b)*(b**2 - 3*b - 3*b**2 + 3*b**2) as t + k*b + q*b**3 + r*b**2 and give r.
-90
Rearrange 145 + 162 - 322 + 4*k to s*k + j and give s.
4
Express 124*z**2 - 609*z**2 - 600*z**2 + 358*z**2 - 556*z**2 as j + g*z + x*z**2 and give g.
0
Rearrange -97*h**3 + 37*h**3 + 7*h**3 + (h**2 + 0*h**2 + h**2)*(h - 3*h + 3*h) to the form y*h + i + w*h**2 + l*h**3 and give l.
-51
Rearrange -95*g + 95*g - 27 + 27 - 222*g**3 + g**2 to p*g + x*g**3 + w*g**2 + l and give x.
-222
Express 69*l - 13 + 0 + 8 + 9 as f*l + r and give f.
69
Rearrange (-11*g + g - 8*g + 0 + 0 + g + (-2*g + 0*g + 4*g)*(-5 - 4 + 5) + g - 4*g + 0*g)*(0*g + 0*g - g) to the form y*g + r + k*g**2 and give k.
28
Express 0*g**2 + 48*g + 2 - 2*g**2 - 55*g + 5*g**2 in the form p*g + n + b*g**2 and give p.
-7
Rearrange (1 - 1 - 2*x)*(-814*x**3 + 289*x**3 + 6690*x**3) to v*x**4 + g*x**2 + s*x + u*x**3 + c and give v.
-12330
Express (3 - 3*y**2 - 3)*(-17*y + 49 - 49) - 3*y**3 + 2*y**3 - 3*y**3 in the form j*y + a*y**2 + d + k*y**3 and give d.
0
Rearrange (-4*n + 0*n + 3*n)*(-49 + 10 + 2)*(-7 - 3 - 3) to the form a + d*n and give d.
-481
Rearrange 51*z - 99*z + 335*z to the form p + v*z and give v.
287
Express -7 - 24 - 2*a + 8 in the form p*a + c and give p.
-2
Rearrange (1 - 3 + 3)*(2*j - j + 0*j) - 2089*j - 7 + 4163*j - 2093*j to the form m + b*j and give m.
-7
Express 1205*t + 234*t**3 - 1203*t + t**3 in the form v + h*t + b*t**3 + n*t**2 and give h.
2
Rearrange 21*i**3 - 5 - 2*i - i**2 - 17*i**3 - 3 + 3 to the form d + p*i**3 + o*i + h*i**2 and give p.
4
Rearrange (-1 + 0 + 0 + 2*x)*((2 - 2 + 1)*(-1 + 2 + 1) - 163 - 132 + 51 + 3 - 2 - 3 + (-6 + 2 + 3)*(-4 + 5 - 3)) to f + h*x and give f.
242
Express (x - 2*x + 0*x)*(-611*x - 154*x + 68*x) + (-3*x - 4 + 4)*(0*x + 0*x + x) in the form z + m*x**2 + g*x and give m.
694
Rearrange ((3 - 3 - 2)*(3 + 0 - 1) + 1 + 1 + 0)*(87*p - 43*p + 77*p) to the form m + r*p and give r.
-242
Express -3*h**2 - 3*h - 3*h**2 + 203847*h**4 - 203849*h**4 as n*h**2 + i*h**3 + v*h**4 + q*h + b and give n.
-6
Express (-3 + 3 - 1)*(0*a + 0*a + a)*(1086*a**3 + 472 - 472) in the form f*a + v + u*a**4 + d*a**2 + g*a**3 and give g.
0
Express 28 + 17 - 3*m**2 - 23 as i*m**2 + y*m + h and give y.
0
Express (791*n**2 - 1857 + 1857)*(0 + 3 - 5)*(-2*n + 4 + n - 3 + (-3 + 4 + 0)*(-1 + 1 - n)) as x*n**3 + s*n + | {
"pile_set_name": "DM Mathematics"
} |
Let v(d) = 2*d + 10. Give v(7).
24
Let a(z) = 12*z**2 + z - 2. Give a(-2).
44
Let r(y) = 24*y**2 + y + 1. Calculate r(1).
26
Let j(y) = -50*y + 102. Determine j(2).
2
Let a(w) = w**2 + 6*w - 25. Calculate a(-8).
-9
Let t(j) = -j**2 - j - 13. What is t(0)?
-13
Let s(r) = 2*r**2 - 5*r - 4. What is s(3)?
-1
Let h(k) = -3*k + 82. What is h(28)?
-2
Let a(m) = -2*m**2 - 13*m + 12. Calculate a(-11).
-87
Let w(g) = g**2 - 4*g - 20. Calculate w(-4).
12
Let g(z) = -60*z**3 - 5*z - 4. Determine g(-1).
61
Let j(i) = -10*i**2 - 17*i + 1. What is j(-2)?
-5
Let k(v) = -3*v**2 + 4. Determine k(1).
1
Let s(y) = 2*y**2 - 19*y + 36. Determine s(3).
-3
Let i(x) = 2*x**2 - 15*x - 18. Calculate i(8).
-10
Let g(p) = -p - 3. Calculate g(-6).
3
Let f(u) = 19*u**2 - 1. Give f(-1).
18
Let w(s) = -s**2 + 3*s + 24. Give w(-4).
-4
Let t(h) = 10*h - 121. Give t(13).
9
Let b(t) = -t**2 - 9. What is b(0)?
-9
Let c(g) = 2*g**2 + 5*g - 7. Calculate c(2).
11
Let g(a) = -3*a - 149. What is g(0)?
-149
Let d(q) = 3*q**2 + 19*q + 22. What is d(-4)?
-6
Let w(n) = n**2 + 7*n + 7. Calculate w(-6).
1
Let q(w) = -95*w**2 - 2*w + 1. What is q(1)?
-96
Let v(k) = -k**2 + 5*k - 5. Determine v(4).
-1
Let a(y) = 2*y + 27. What is a(-19)?
-11
Let h(j) = j**2 - 11*j + 28. Give h(9).
10
Let i(c) = 11*c - 3. What is i(-2)?
-25
Let a(n) = -4*n + 18. What is a(8)?
-14
Let i(h) = -3*h - 1. Determine i(-3).
8
Let y(c) = -56*c + 5. Give y(1).
-51
Let b(o) = 66*o - 390. What is b(6)?
6
Let w(x) = -x**3 + 9*x**2 - 2*x + 8. Calculate w(9).
-10
Let b(g) = g**2 + 10*g + 20. Calculate b(-8).
4
Let j(f) = 15*f - 313. Give j(20).
-13
Let l(o) = 78*o**3 + 2*o**2 - 1. What is l(1)?
79
Let z(u) = u**2 + 7*u + 10. Calculate z(-2).
0
Let l(c) = -3*c - 48. Calculate l(-14).
-6
Let h(u) = -u**2 - 5*u + 9. Calculate h(-6).
3
Let x(a) = 5*a**2 + 2*a - 3. Calculate x(1).
4
Let u(j) = j**3 - 16*j**2 - 16*j - 21. Determine u(17).
-4
Let r(c) = 3*c**2 + 5*c - 1. Give r(-6).
77
Let t(p) = 5*p + 35. Give t(-7).
0
Let f(q) = -2*q - 10. Determine f(0).
-10
Let c(o) = o**3 + 9*o**2 - 3*o - 11. Give c(-9).
16
Let j(p) = -p**2 - 14*p - 26. Give j(-12).
-2
Let x(j) = j**2 - 8. What is x(-3)?
1
Let i(t) = 20*t - 2. Determine i(0).
-2
Let b(r) = -9*r + 43. What is b(4)?
7
Let x(q) = q**2 - 31*q - 35. Calculate x(32).
-3
Let h(g) = -2*g**3 + g**2 + 2*g. What is h(2)?
-8
Let x(g) = -3*g. Give x(3).
-9
Let j(f) = -f**3 + 29*f**2 - 53*f - 25. What is j(27)?
2
Let y(j) = -2*j**2 - 36. What is y(0)?
-36
Let l(h) = h**3 + 11*h**2 + 2*h + 11. Give l(-11).
-11
Let b(o) = o**3 - 10*o**2 + 3*o + 10. Determine b(9).
-44
Let q(l) = -l**2 - 9*l - 11. What is q(-10)?
-21
Let l(c) = -c**3 + 14*c**2 - 13*c - 8. Determine l(13).
-8
Let j(l) = l**2 + 16*l - 42. Give j(-18).
-6
Let v(b) = 59*b - 293. Calculate v(5).
2
Let t(k) = -k**3 - 8*k**2 + 9*k - 15. Give t(-9).
-15
Let s(z) = -4*z - 19. Calculate s(-10).
21
Let g(z) = -2*z**2 - 28*z + 24. Give g(-15).
-6
Let w(y) = 2*y**3 + 18*y**2 - 3*y - 5. What is w(-9)?
22
Let a(d) = -3*d - 2. Calculate a(-3).
7
Let p(d) = 25*d - 7. Calculate p(2).
43
Let v(t) = -t**2 - 5*t + 4. Give v(-9).
-32
Let o(h) = -5*h + 63. Determine o(13).
-2
Let g(z) = -z**3 + 8*z**2 + 9*z - 5. Determine g(9).
-5
Let a(c) = -3*c**3 - 6*c**2 - 3*c - 6. Determine a(-4).
102
Let p(w) = 24*w**2 - 13*w + 1. What is p(2)?
71
Let v(j) = j**3 + 25*j**2 - j + 4. Give v(-25).
29
Let t(x) = 6*x + 67. Give t(-13).
-11
Let x(t) = t**3 + 11*t**2 + 12*t - 13. What is x(-9)?
41
Let z(n) = n**3 + 6. What is z(0)?
6
Let m(r) = -r**2 + 13*r - 35. Give m(10).
-5
Let x(d) = -5*d + 29. Give x(5).
4
Let c(u) = -u**3 + 7*u**2 - 4*u - 5. Give c(7).
-33
Let z(s) = -s**2 - 29*s - 74. Give z(-3).
4
Let m(s) = -17*s**3 - s**2 + s. What is m(1)?
-17
Let i(p) = p - 6. Calculate i(-3).
-9
Let h(x) = 14*x - 12. Calculate h(5).
58
Let n(s) = -s + 14. What is n(8)?
6
Let c(i) = 2*i**2 - 6*i + 2. Give c(1).
-2
Let z(d) = -4*d + 3. What is z(2)?
-5
Let t(r) = 13*r + 28. Determine t(-6).
-50
Let x(i) = 4*i**2 + i. What is x(2)?
18
Let j(f) = f**2 - 2*f - 4. What is j(8)?
44
Let f(u) = -u**3 - 10*u**2 - 15*u + 13. What is f(-8)?
5
Let i(c) = -23*c - 66. Give i(-3).
3
Let j(h) = h**3 - 5*h**2 - 6. Give j(5).
-6
Let i(y) = -2*y**3 - 10*y**2 - 6*y + 4. Calculate i(-4).
-4
Let s(y) = y**3 + 35*y**2 + 47*y + 432. What is s(-34)?
-10
Let x(d) = -3*d - 67. Calculate x(-22).
-1
Let n(s) = -s**3 - 31*s**2 - 28*s + 59. Calculate n(-30).
-1
Let p(d) = d - 8. Calculate p(-9).
-17
Let q(p) = p**2 + 53*p + 612. Calculate q(-36).
0
Let z(i) = i**3 - 7*i**2 - 6*i - 2. Calculate z(7).
-44
Let b(x) = -x**3 - 8*x**2 - 10*x - 10. Give b(-7).
11
Let l(u) = -u**3 + 6*u**2 + 8*u - 15. Determine l(7).
-8
Let b(n) = n**3 + 4*n**2 - 7*n + 1. Give b(-6).
-29
Let s(c) = -c**3 - c**2 - c + 11. Give s(2).
-3
Let s(l) = 11*l - 27. Determine s(2).
-5
Let r(d) = -5*d + 4. What is r(-2)?
14
Let t(w) = 8*w + 2. Determine t(-9).
-70
Let g(m) = -m - 2. Calculate g(3).
-5
Let c(a) = 32*a - 16. Determine c(-3).
-112
Let f(z) = z**2 + 6*z - 93. What is f(7)?
-2
Let p(q) = -q**2 + 16*q - 6. What is p(11)?
49
Let b(k) = k - 11. Determine b(10).
-1
Let t(c) = 3*c + 14. What is t(6)?
32
Let q(z) = -z**3 + 9*z**2 - 8*z - 10. Give q(8).
-10
Let p(c) = -7*c**2 + 33*c - 33. Calculate p(1).
-7
Let a(i) = -8*i + 55. What is a(9)?
-17
Let y(g) = g**3 - 16*g**2 - 2*g + 39. Calculate y(16).
7
Let s(h) = -h - 14. Determine s(0).
-14
Let c(z) = z**2 + 14*z + 18. Give c(-14).
18
Let d(c) = c**3 + 8*c**2 - 2*c + 10. Determine d(-8).
26
Let s(k) = 2*k**2 - 3*k - 5. What is s(-2)?
9
Let z(f) = 24*f - 5. Determine z(1).
19
Let t(s) = -s**2 + 19*s - 20. What is t(17)?
14
Let s(x) = -26*x + 6. Determine s(2).
-46
Let z(m) = -m**3 + 15*m**2 - 13*m - 19. Determine z(14).
-5
Let c(f) = 4*f + 102. Calculate c(-27).
-6
Let s(c) = -3*c**3 + 2*c**2 - 1. Calculate s(-1).
4
Let a(c) = c**3 - 2*c + 5. Calculate a(-3).
-16
Let o(u) = u + 9. Determine o(-7).
2
Let j(y) = y**3 - 17*y**2 + 18*y - 10. What is j(16)?
22
Let m(g) = -108*g + 530. Determine m(5).
-10
Let f(s) = -2*s - 7. Give f(-7).
7
Let w(g) = g**2 - 27*g + 104. Determine w(26).
78
Let b(i) = 22*i - 3. What is b(2)?
41
Let j(u) = 2*u**2 + 3*u + 3. Calculate j(-2).
5
Let r(v) = v**3 - 9*v**2 - 9*v - 3. What is r(10)?
7
Let y(i) = -3*i + 1. Give y(1).
-2
Let k(u) = -u - 9. Give k(-12).
3
Let m(j) = j**3 - 12*j**2 + 2*j - 3. What is m(12)?
21
Let w(b) = 89*b**3 - b**2 + 1. Give w(1).
89
Let n(d) = -d - 83. Give n(0).
-83
Let p(i) = i**3 - 9*i**2 + 15*i + 30. Calculate p(5).
5
Let n(k) = 3*k - 8. Give n(5).
7
Let u(m) = -m - 10. Calculate u(0).
-10
Let s(r) = 2*r**2 + 4*r - 5. What is s(-4)?
11
Let q(v) = -177*v + 1773. Give q(10).
3
Let b(z) = -2*z**3 + z**2 - 2*z. Calculate b(-2).
24
Let m(w) = -w**2 - 8*w + 32. What is m(3)?
-1
Let r(o) = o**2 - 12*o + 5. Calculate r(12).
5
Let w(g) = -g**3 + 3*g**2 + 11*g. Give w(5).
5
Let g(r) = -r**2 + 2*r - 1. What is g(0)?
-1
Let u(p) = 30*p - 10. Calculate u(4).
110
Let l(i) = 2*i**3 + i**2. What is l(0)?
0
Let i(k) = 3*k - 27. Give i(8).
-3
Let z(n) = n**2 - 8*n + 18. What is z(9)?
27
Let m(n) = -n**3 + 9*n**2 - 7*n - 11. Calculate m(7).
38
Let u(y) = -13*y - 163. Determine u(-10).
-33
Let d(s) = s - 2. What is d(-3)?
-5
Let u(m) = m**3 + 10*m**2 + 12*m - 6. Give u(-9).
-33
Let b(c) = -c**3 - 9*c**2 + 9*c - 13. What is b(-10)?
-3
Let o(h) = -5*h + 24. Determine o(11).
-31
Let z(o) = -4*o + 9. Calculate z(4).
-7
Let r(k) = -k - 16. Calculate r(0).
-16
Let h(s) = -5*s - 6. Calculate h(-11).
49
Let h(c) = -2*c - 3. Determine h(8).
-19
Let w(j) = 110*j**2 - 4*j - 4. What is w(-1)?
110
Let n(f) = -2*f**3 + 23*f**2 - 27*f - 34. Calculate n(10).
-4
Let u(m) = 10*m**2 - 4*m + 5. Determine u(2).
37
Let m(d) = -6*d**2 - 3*d + 2. What is m(1)?
-7
Let o(q) = -2*q**3 - 16*q**2 + 3*q + 25. What is o(-8)?
1
Let v(u) = u**2 - 8*u + 21. What is v(6)?
9
Let g(i) = 7*i - 43. What is g(7)?
6
Let y(g) = -5*g - 53. Give y(-7).
-18
Let b(a) = 8*a**3 + 5*a**2 - 5*a - 7. Give b(-2).
-41
Let t(w) = -2*w + 23. Determine t(0).
23
Let g(i) = 5*i**3 - 3*i**2 + i - 2. What is g(2)?
28
Let d(i) = 65*i + 200. Give d(-3).
5
Let q(m) = -12*m - 903. Determine q(-75).
-3
Let g(q) = 32*q**2 - 2*q + 1. Give g(1).
31
Let s(a) = -7*a + 1. Determine s(1).
-6
Let k(h) = -h**2 - | {
"pile_set_name": "DM Mathematics"
} |
147 - 5*f**2 + 0*f**2 - 9686*f + 9683*f in the form l + q*f**2 + v*f and give v.
-3
Express 42 - 23*l**2 + 23*l + 28*l**2 + 24*l + 23*l - 81*l as k + a*l**2 + j*l and give a.
5
Rearrange (4*h - h - h)*((-2 - 2 + 2)*(-3 + 0 + 1) + 334 + 1456 - 3054) to the form y*h + c and give y.
-2520
Rearrange -444 + 444 + 21754*y + 10962*y - 175*y to i + o*y and give i.
0
Rearrange -15*l**2 + 27836 - 10*l - 12*l**2 - 27836 to r + y*l**2 + d*l and give y.
-27
Rearrange (-4*w - 5*w + 0*w)*(0 - 1 + 3) + 0*w + w - 6*w + (3*w - w - 4*w)*(-4 + 5 - 2) to the form b + c*w and give c.
-21
Express 6*v**3 + 0*v**3 + v**3 + (4*v - v - 2*v)*(4*v**2 - v**2 - 5*v**2) + (12 - 12 - 5*v**2)*(-9*v + 0*v - 22*v) as n*v + p + z*v**3 + s*v**2 and give s.
0
Express (25*a**4 + 92*a**4 + 22*a**4)*(-42 + 37 + 114) in the form u*a**4 + h*a**3 + r + x*a**2 + p*a and give u.
15151
Express -20*n + 3 - 9 + 0 + 8 + 15 as x + k*n and give k.
-20
Express (g**3 - 2*g**3 - 2*g**3)*((2 - 4 + 3)*(0 + 1 - 3) + 1084 + 9868 + 8490 - 683 + 1999) in the form z + v*g**2 + p*g + i*g**3 and give i.
-62268
Rearrange (2198*l + 13 - 13 - 2877*l)*(-l**3 - 3*l**2 - l**2 - l**3) to the form y*l**2 + a + h*l**3 + m*l + c*l**4 and give h.
2716
Rearrange (3 + i - 3*i + 0*i)*((-4 + 1 - 8)*(i + 3*i - 6*i) + 21*i - 4*i + 0*i + 1 + 3*i - 1) to y*i**2 + p*i + g and give y.
-84
Rearrange (-j**3 - j**3 + 4*j**3)*(-427 + 33*j - 32*j + 6806) to the form u*j**3 + f + o*j**4 + z*j + q*j**2 and give o.
2
Express 183*s - 510*s - 1 + 773*s + 1116*s + 0 in the form t*s + l and give l.
-1
Rearrange 13*x**4 - 148*x**4 - 9*x**4 + (40*x - 26*x - 16*x)*(-5*x**3 - x**3 + x**3 - 1) to the form l*x**4 + c*x + j*x**2 + u + y*x**3 and give l.
-134
Express 848 - 3106*v - 2567 + 860 + 862 as z + n*v and give z.
3
Express -1722*o**3 - 1307*o**3 - 15690 + 7845 + 7843 in the form f + x*o**3 + t*o**2 + z*o and give f.
-2
Rearrange -6 + 4 - 2*f + 4 + f**2 + (5 - 5 + 27*f)*(468*f - 387*f - 411*f) to b*f**2 + q*f + z and give z.
2
Rearrange -3 + 2229*o - 1577*o + 3 + 2494*o to the form v*o + t and give v.
3146
Rearrange -d**4 - 3*d**2 + 4*d**2 + 2*d**3 + d - 4 - 5*d + 16*d**3 to the form u*d**4 + n*d + r*d**3 + h + z*d**2 and give r.
18
Express -8239*n + 23*n**3 - 8198*n + 16389*n in the form w*n + f + x*n**3 + k*n**2 and give x.
23
Rearrange (-17511*j + 13520*j + 7974*j)*(-4 + 3 - 3) to x*j + c and give x.
-15932
Express (9 + 8 + 4)*(1 - 4 + 0)*(2031*g + 261*g + 1857 - 1857) in the form h + c*g and give c.
-144396
Express -7*t**2 + 253031 + 6*t**2 - t**4 - 255579 as w*t + m + j*t**3 + p*t**4 + s*t**2 and give m.
-2548
Express (-162 + 109 + 503)*(2 - 2*d - 2)*(1 - 3 - 1) as i + t*d and give t.
2700
Express (90*w - 41*w + 169*w)*(1 + 4 - 4)*(522*w**2 - 522*w**2 + 8*w**3 - 3*w) in the form c + b*w**4 + d*w + z*w**2 + j*w**3 and give b.
1744
Express -4*h**2 + 0 - h**2 + 51*h**3 + 1 - 50*h**3 + 6*h**2 + 60*h in the form z*h + b*h**3 + s + o*h**2 and give b.
1
Express (37 - 31 - 65)*(3*o - 2*o + 5*o)*(38 - 64 + 55) in the form z + b*o and give b.
-10266
Express -45 - 3 - 23*n + 41 + 2 + 3 in the form a*n + x and give x.
-2
Rearrange -3221*k**2 - 5*k - 2359*k**2 - 2 + 4*k + k to the form f + l*k**2 + d*k and give f.
-2
Rearrange (g**2 - 2*g**2 - g**2)*(-5*g - 3*g**2 + 5*g) + 28202 - 9417 + 8*g**4 - 9401 - 9440 to n*g + q + z*g**2 + d*g**3 + u*g**4 and give u.
14
Rearrange 12 - 36 + 1 - 52 - 19 - 31*h to w*h + x and give w.
-31
Rearrange -196*l + 8*l**2 + 48*l**2 + 99*l + 81*l to v*l**2 + a + d*l and give v.
56
Rearrange -333*s**3 + 6 + 1041*s**3 - 548*s**3 - 402*s**3 - 3 to h*s + l*s**2 + j*s**3 + y and give j.
-242
Rearrange (-3520 - 1051 - 4852 - 8113 + 1200)*(-h**2 - 3*h**4 + h**2) to the form j*h**2 + p*h + l*h**4 + g*h**3 + n and give l.
49008
Express -162 - 2*f**4 + f + 6*f**3 + 171 - 2*f**2 + 8*f as m*f**2 + i*f**4 + x + j*f + z*f**3 and give j.
9
Rearrange -83347*t**3 + 2*t**2 + t - 153 + 0*t**2 - 45 + 83347*t**3 - 4*t**4 to w*t + l*t**4 + g*t**3 + k*t**2 + y and give y.
-198
Rearrange -1423*k**2 + 2846*k**2 - 1421*k**2 + 3776*k**3 - 24950*k**3 to z*k**2 + l*k + u + m*k**3 and give z.
2
Rearrange (-4 - 1 - y + 4 + (-7 + 24 - 10)*(-40*y + 77*y - 96*y))*(3*y - 3*y - y**2)*(1 - 1 + 2) to the form f + d*y + h*y**3 + a*y**2 and give h.
828
Express 11*g**3 - 7*g**3 + 2*g**4 + 104*g + 2*g**2 + 36 - 106*g as d*g**4 + n + h*g**2 + r*g + j*g**3 and give h.
2
Rearrange 3377*l + 6856*l - 443*l to n + v*l and give v.
9790
Rearrange -4334*b - 2707*b - 1705*b + 946*b - 56*b to d + v*b and give v.
-7856
Rearrange 503*g**2 - 1225*g**2 - 442*g**2 + (-78 + 21*g + 78)*(-2 + 2 + 2*g) to the form p*g**2 + s*g + l and give l.
0
Express 1014*r**3 - 3*r**4 + 128*r**2 - 45*r**2 - 54*r**2 - 30*r**2 as a + y*r + q*r**4 + k*r**3 + f*r**2 and give f.
-1
Express (-4*o - o + 6*o)*(3654 + 3892 - 7335) + (-1 + 1 - 2)*(0*o - 6*o + 2*o) as t + x*o and give x.
219
Rearrange 861*n + 10*n**2 - 439*n + 62*n**2 - 13*n**2 - 2 - 448*n to s + y*n + d*n**2 and give d.
59
Express (-v - 3*v + 2*v)*(268 - 73 - 69 + 1448*v - 75 - 57) in the form p*v + g*v**2 + z and give p.
12
Rearrange -862 + 2150 - 1080 + m + 3*m to j*m + q and give q.
208
Rearrange 84*t - 25*t + 321 - 323 + 59*t + 37*t + 3*t**2 - 3*t**3 to w + k*t**2 + n*t**3 + l*t and give k.
3
Express -130*g - g**3 + 2388 + 4*g**2 + 130*g - 5*g**2 as s*g**3 + w*g + b*g**2 + y and give b.
-1
Express 34 + t + 45 + 1492*t**3 - 2983*t**3 + 1488*t**3 as o + a*t**2 + s*t + x*t**3 and give s.
1
Rearrange -53 - 1711*q + 1713*q + 57 - 3*q**2 - 243 + 8*q**2 to w*q**2 + l*q + c and give c.
-239
Express 1065*a - 67*a**3 - 2129*a + 1067*a - 3*a**2 + 65*a**3 in the form o*a**2 + b + q*a**3 + r*a and give r.
3
Rearrange (-182*i + 982*i - 255*i - 26*i + 874*i)*(-142*i**2 + 11*i**3 + 142*i**2) to r*i**3 + v + c*i**4 + n*i + l*i**2 and give c.
15323
Rearrange (-d**3 + d + 5*d**2 - 5*d**2)*(-26339 - 26504 + 1914 - 10989 + 6294) to k*d**2 + j*d + s + r*d**3 and give j.
-55624
Rearrange 9 - 673*s + 4 + 282*s + 322*s to the form r + p*s and give p.
-69
Rearrange (5*v + 42 - 42)*(-335 - 583 + 249) to the form x*v + a and give x.
-3345
Rearrange -64525*y + 1006 + 64525*y - 153 - 15*y**3 + 4*y**2 + 14*y**3 to the form w*y**2 + d*y**3 + m*y + z and give z.
853
Express 39*u**3 - 41*u**3 + 16 - u + 2*u + 4*u**3 - 2*u**2 in the form n*u**2 + b + i*u**3 + w*u and give b.
16
Rearrange (-6*m**3 - 9*m**3 + 3*m**3)*(-978 + 1197 + 1858 + 3077) to the form r*m**2 + o + y*m**3 + s*m and give o.
0
Express 144 + 970 - 102 + 9*c + 150 as r + l*c and give l.
9
Rearrange 10*s**3 + 11*s**3 - 2*s - 163*s**4 - s**2 + 10*s**3 - 68*s**4 - 35*s**3 to d*s + v*s**4 + u*s**2 + t*s**3 + q and give t.
-4
Express -4*i**2 - i**2 + 0*i**2 + (6 + 3 - 337*i + 341*i)*(-2*i + 3*i + i) in the form l + m*i**2 + k*i and give m.
3
Rearrange -4 + 20 + r**3 + 179*r**2 + 16*r**4 - 16 to the form g + h*r**4 + m*r + v*r**3 + d*r**2 and give v.
1
Rearrange 68*w**2 + 0*w + 2 - 228*w**2 + 0*w - 5*w + 2*w to b*w**2 + h*w + x and give x.
2
Express (-5*f**2 + 3*f**2 - 4*f**2)*(5*f + 12*f + 4*f)*(-5 - 8 + 0) as r*f**3 + x*f + k + u*f**2 and give x.
0
Express (-1 + 3*b + 1)*(-4 + 4 - 6) + (b - 1 + 1)*(1 - 2 + 2) + 2*b + b - 5*b + 196 - 21*b - 196 - b - b - 2*b as v*b + s and give v.
-44
Rearrange -937*h - 606*h - 1408*h + 532*h to the form u + x*h and give x.
-2419
Express -6*s + 360*s**2 + 3*s + 0*s + 1147*s**2 + 772*s**2 as k*s**2 + m + j*s and give j.
-3
Rearrange (-2*t**2 + 7*t**2 + 0*t**2)*(3 - 3 + 3*t) + 0*t**3 + t**3 + 15*t**2 - 3920 + 3919 to r*t**2 + y*t**3 + g*t + h and give h.
-1
Express -38290*u - 1 + u**2 + 41913*u + 1 as q*u**2 + z*u + d and give z.
3623
Express -11150 - 11147 + 33450 - 11153 - 11325*f in the form j + b*f and give b.
-11325
Express (-577*y + 832*y + 784*y)*(29 - 74 - 39 - 20 + (1 + 0 - 3)*(-2 - 1 + 5)) in the form b*y + i and give b.
-112212
Express -2951*b - 2823*b - b**2 - 2469*b - 20*b + 1482*b in the form x*b + m*b**2 + i and give i.
0
Express 12*g**3 + 534*g**2 + 2 + 3*g - 9*g - 286*g**2 - 278*g**2 - 3*g**3 in the form w*g**2 + u*g**3 + a*g + o and give a.
-6
Rearrange 5567 + 0*l**2 - 2*l**2 + 2*l**2 + 3*l**3 + 2*l - 5563 to k*l**3 + t*l + u + j*l**2 and give k.
3
Express 44 - 429 - 358 - 92*r**3 + 91*r**3 + r + 67 as b*r + x + s*r**2 + f*r**3 and give b.
1
Rearrange (1 | {
"pile_set_name": "DM Mathematics"
} |
r?
False
Is 287763418091 composite?
False
Is 8618724139 a prime number?
True
Is 6274126343 a prime number?
True
Is 25277682581 a prime number?
True
Is 2820494553 a prime number?
False
Is 13896338231 prime?
False
Is 1281050735 prime?
False
Is 525473911 composite?
True
Is 127588799837 a prime number?
True
Is 2651727329 prime?
False
Is 82046317 a composite number?
True
Is 5115267973 prime?
True
Is 192827233 composite?
True
Is 5289115187 a composite number?
True
Is 9999942871 a prime number?
True
Is 15079584661 composite?
False
Is 2692782997 a prime number?
False
Is 912248719 a prime number?
True
Is 24185411647 prime?
True
Is 9331889209 composite?
False
Is 15431931839 prime?
False
Is 12895224401 prime?
True
Is 12045877601 a prime number?
False
Is 9426944161 composite?
False
Is 204194677 composite?
False
Is 791924537 prime?
False
Is 2929461197 composite?
True
Is 714230981 a composite number?
False
Is 1232304499 a prime number?
False
Is 11401115461 a prime number?
False
Is 17593603 composite?
False
Is 15977181907 a prime number?
True
Is 1492203919 a prime number?
False
Is 10647210181 prime?
True
Is 4749242065 a prime number?
False
Is 29623381 prime?
True
Is 436291454 a prime number?
False
Is 319195121 a composite number?
True
Is 4208109483 a composite number?
True
Is 1016089349 prime?
False
Is 47984273327 a composite number?
True
Is 11596581529 a prime number?
False
Is 58726438651 composite?
False
Is 684852465355 composite?
True
Is 3449489887 a prime number?
True
Is 1283945123 a prime number?
False
Is 640842227 a composite number?
True
Is 85451998 a prime number?
False
Is 6715931477 a prime number?
False
Is 6099544337 a composite number?
False
Is 2138536909 a prime number?
False
Is 195193273 prime?
False
Is 23682510274 composite?
True
Is 94844776057 composite?
False
Is 804123421 composite?
False
Is 10482024403 a prime number?
True
Is 25091137789 a prime number?
True
Is 3334374751 composite?
False
Is 30018127 prime?
True
Is 3990491963 prime?
False
Is 546679702 a composite number?
True
Is 202787587 a prime number?
False
Is 1196543213 a composite number?
False
Is 23744903305 a prime number?
False
Is 5339153227 prime?
True
Is 726978487 prime?
True
Is 3530909671 a composite number?
True
Is 11013051131 prime?
True
Is 13037419721 composite?
False
Is 7360366337 a prime number?
True
Is 6069961139 a prime number?
False
Is 21752343859 prime?
True
Is 3725171341 a composite number?
True
Is 3782638429 a composite number?
True
Is 131741369021 composite?
False
Is 48459503897 composite?
True
Is 13639171873 prime?
True
Is 3870579487 prime?
True
Is 613472216021 a composite number?
True
Is 480853123 a prime number?
True
Is 350022203 a prime number?
False
Is 1507078913 prime?
True
Is 516343291 composite?
True
Is 26760513023 composite?
False
Is 8732259631 a composite number?
True
Is 89746919 a composite number?
True
Is 7044781057 composite?
True
Is 590140051 a composite number?
False
Is 1000171339 composite?
False
Is 831724469 prime?
True
Is 2237330021 composite?
True
Is 2520917149 composite?
False
Is 36701260007 a prime number?
True
Is 194005010015 prime?
False
Is 3309008467 prime?
True
Is 27103583977 prime?
True
Is 420941933 prime?
False
Is 126473551 prime?
True
Is 5058145003 a composite number?
False
Is 116136545843 a prime number?
True
Is 1001028373 a prime number?
True
Is 62540851 a prime number?
False
Is 59107649 a composite number?
True
Is 557626513 a composite number?
True
Is 5411884993 a prime number?
True
Is 18593705909 a prime number?
True
Is 6545013157 composite?
False
Is 1866916481 a prime number?
False
Is 840034547 a composite number?
True
Is 169013653 a composite number?
True
Is 15031898801 a composite number?
False
Is 483672793 a prime number?
True
Is 841701251 composite?
False
Is 515119093 prime?
True
Is 19177869313 composite?
False
Is 339145977 prime?
False
Is 580373657 composite?
False
Is 9663966551 prime?
True
Is 207544981 composite?
True
Is 5487536741 a composite number?
False
Is 13874589983 prime?
False
Is 7978933217 a prime number?
True
Is 10746208607 a composite number?
False
Is 3294679447 a prime number?
False
Is 1885783049 composite?
True
Is 12322825997 a composite number?
False
Is 7628601637 a prime number?
False
Is 39857081351 a composite number?
False
Is 386476822867 composite?
False
Is 2263616711 a composite number?
True
Is 2832345521 prime?
False
Is 11440837271 a prime number?
True
Is 1489270537 a composite number?
False
Is 857202589 prime?
False
Is 9582987413 composite?
False
Is 18933776207 a composite number?
False
Is 14461440409 composite?
True
Is 3936404201 composite?
False
Is 2488822951 a prime number?
True
Is 686528119 prime?
False
Is 1584816673 a composite number?
True
Is 7094095933 a composite number?
True
Is 10479151667 a prime number?
True
Is 175560752929 a prime number?
True
Is 233706719 a composite number?
False
Is 26086603949 a composite number?
True
Is 2034550829 composite?
True
Is 6336123049 a composite number?
False
Is 14711918813 a composite number?
True
Is 9415424686 a prime number?
False
Is 62970276307 prime?
False
Is 3153998963 a prime number?
False
Is 7937725927 prime?
False
Is 147606457 composite?
True
Is 4384275839 composite?
True
Is 1033057621 a composite number?
True
Is 4513476399 composite?
True
Is 87292586153 a prime number?
False
Is 65830518013 prime?
False
Is 12155654737 a composite number?
False
Is 2742777647 prime?
True
Is 82607389 a composite number?
True
Is 717745591 prime?
True
Is 11563350493 a composite number?
False
Is 1964339033 prime?
False
Is 52038313133 a composite number?
True
Is 1415902289 prime?
True
Is 1624327393 a prime number?
False
Is 15987682813 prime?
False
Is 107980563247 a prime number?
True
Is 4099407569 composite?
False
Is 1730859217 composite?
True
Is 1215775139 a prime number?
True
Is 22207840387 a prime number?
True
Is 13816697 composite?
False
Is 1268643449 prime?
False
Is 46899403 a composite number?
True
Is 82070182723 composite?
False
Is 1860494473 a composite number?
False
Is 379667207 prime?
False
Is 4561560991 composite?
True
Is 80112076367 a composite number?
False
Is 2076657691 composite?
True
Is 8380716983 prime?
False
Is 7334612591 prime?
True
Is 305346421 prime?
True
Is 419969533 composite?
False
Is 26441229527 prime?
True
Is 210646425479 a prime number?
False
Is 1547630951 prime?
False
Is 686711423 a composite number?
True
Is 78243092251 composite?
True
Is 1385458733 composite?
True
Is 852858353 prime?
True
Is 5480256833 prime?
False
Is 18498403661 a composite number?
False
Is 33765532131 composite?
True
Is 227773219 a prime number?
False
Is 65746315861 a prime number?
False
Is 38713514899 a prime number?
False
Is 94337846971 a prime number?
True
Is 36325152637 composite?
True
Is 47849190289 a composite number?
False
Is 8210797687 a composite number?
True
Is 32125796489 composite?
False
Is 34538729 a prime number?
False
Is 2145003337 prime?
True
Is 7781245837 a composite number?
True
Is 172509844153 prime?
True
Is 5305081861 a prime number?
True
Is 938818955 a prime number?
False
Is 1266295801 a composite number?
False
Is 19960727053 a composite number?
False
Is 27399504233 prime?
True
Is 173128619 a prime number?
True
Is 1543720331 composite?
False
Is 3675413051 a composite number?
True
Is 2846471431 a composite number?
False
Is 1271573741 prime?
True
Is 1109724947 a composite number?
False
Is 70050776231 a composite number?
False
Is 867396028181 a prime number?
True
Is 84206120426 a composite number?
True
Is 1706744063 a prime number?
True
Is 2505415469 a prime number?
True
Is 58647431471 a composite number?
False
Is 1395230413 prime?
True
Is 635795857 prime?
True
Is 20384590687 a prime number?
True
Is 999527549 a prime number?
True
Is 42839773 prime?
True
Is 36891157249 a composite number?
False
Is 1813757241 a prime number?
False
Is 22663636217 a composite number?
False
Is 382672097 composite?
False
Is 12430903 a prime number?
True
Is 8679324331 prime?
True
Is 895051579 composite?
True
Is 58763048423 composite?
False
Is 68796210811 a prime number?
False
Is 15367658617 a prime number?
False
Is 30001523 prime?
True
Is 4305292531 composite?
True
Is 3152021009 a prime number?
False
Is 23171156741 prime?
True
Is 222906243215 a composite number?
True
Is 9398313623 compo | {
"pile_set_name": "DM Mathematics"
} |
*t**2 - t + 2
Let u(c) = -5*c**3 + 7*c**2 - 2*c - 2. Suppose 0 = -2*p - 5 - 1. Let h(i) = 6 - 4*i**2 + 7*i**2 - 15 - 2*i**3 + 8 + 0*i**3 - i. Determine p*u(r) + 7*h(r).
r**3 - r - 1
Let x(m) = 53*m**3 + 0*m - 2*m + 2*m**2 + 5*m - 47*m**3. Let f(l) = -7*l**3 - 2*l**2 - 4*l. Give 3*f(n) + 4*x(n).
3*n**3 + 2*n**2
Let c(w) = -w + 4. Suppose -3*h = 74 - 14. Let g be 36/10 - 8/h. Let v = -9 + g. Let o(m) = 2*m - 9. Give v*c(l) - 2*o(l).
l - 2
Let g(t) = -6*t**3 - t**2 - 9*t - 8. Let w be g(-1). Let b(u) = 6*u. Let c(l) = l**2 - 7*l. What is w*c(f) + 7*b(f)?
6*f**2
Let a(q) = 2*q + 5. Let o(x) = 4*x + 25 - 31 + x - 7*x. Determine -3*a(b) - 2*o(b).
-2*b - 3
Let p(n) be the third derivative of -n**5/30 - n**4/8 + n**3/6 - 49*n**2 + 5*n. Let c(y) = 3*y**2 + 7*y - 3. Give -4*c(o) - 10*p(o).
8*o**2 + 2*o + 2
Let h(f) = 167*f + 4. Let u(s) = -44*s - 1. What is -2*h(n) - 9*u(n)?
62*n + 1
Let w(v) = 147. Let d(b) = 1472. Let t(k) = -d(k) + 10*w(k). Let y(s) = s. Let c be ((-1)/2)/((-1)/2). Determine c*t(f) - 2*y(f).
-2*f - 2
Let x(p) be the third derivative of p**4/4 + p**3/6 + 15*p**2. Suppose -26 + 6 = 5*i. Let j = 485 - 490. Let l(b) = -7*b - 1. Calculate i*l(w) + j*x(w).
-2*w - 1
Let q(f) = -2*f**2 - f - 5. Let i = -2517 + 2525. Let j(y) = -6*y**2 - 4*y - 14. What is i*q(o) - 3*j(o)?
2*o**2 + 4*o + 2
Suppose 4*h = -8, 3*u - 7*u + 6 = 3*h. Let v(o) = -u + o - 7*o + 4*o + 0. Let g(t) = -1. What is 4*g(s) - v(s)?
2*s - 1
Suppose -285*u = -280*u - 5. Let s(j) = -j**2 - 1. Let a(i) = 9*i**2 + 2*i + 5. Give u*a(m) + 3*s(m).
6*m**2 + 2*m + 2
Let z(l) = 2*l. Let b(j) = 9*j**2 - 14*j + 5. Let a(m) = 7*m**2 - 13*m + 4. Let v(y) = -5*a(y) + 4*b(y). Give -2*v(f) + 11*z(f).
-2*f**2 + 4*f
Let p(u) = 3*u**2 - u. Let r be p(-1). Let f(l) = -5*l**2 - 20 + 0*l**2 - 3*l**3 + 25 + r*l. Let g(b) = 1 + b**2 + b - b**2 - b**2. What is -f(n) + 5*g(n)?
3*n**3 + n
Let u(d) = 10*d**3 + 5*d. Let p(j) = 100*j - 206*j + 105*j - j**3. Calculate 10*p(r) + 2*u(r).
10*r**3
Let y(n) = -3*n - 3. Let k be 4*(-1 + 1/(-1)). Let w(s) = 817257*s + 0 + 1 - 817256*s. Give k*w(p) - 3*y(p).
p + 1
Suppose 0 = 4*b - l - 7, 5*l = b - 4*b + 11. Let o(k) = 2*k**2 - 3*k**b + 6*k + 6*k**2 - 2*k**2 - 6. Let i(m) = m**2 + m - 1. Determine -6*i(f) + o(f).
-3*f**2
Let j(p) = -7*p**3 - 2*p**2 - 5*p - 2. Let z(m) = m**3 + m + 1. Determine -j(w) - 5*z(w).
2*w**3 + 2*w**2 - 3
Let h(j) = 4*j**3 + 6*j - 6. Suppose -5*g = 12 - 42. Let w(b) = -15*b**3 + 4*b + 30*b**3 - 18*b**3 - 9*b + 3 + 2. Give g*w(d) + 5*h(d).
2*d**3
Suppose -14*n - 56 = -42*n. Let f(s) = 3*s**3 - 3*s**2 + 2*s + 2. Let o(w) = 11*w**3 - 13*w**2 + 9*w + 8. What is n*o(t) - 9*f(t)?
-5*t**3 + t**2 - 2
Let a(n) = n**3 - n**2 + n. Let f(m) = 198*m**3 + 2*m**2 - 2*m. What is -4*a(c) - 2*f(c)?
-400*c**3
Let f(w) = -4*w - 8. Let p(x) = -57*x - 29. Let a(g) = 36*g + 19. Let j(t) = -8*a(t) - 5*p(t). Determine 6*f(d) - 7*j(d).
-3*d + 1
Suppose 2*j - 5*d = -3, 5*d = -2*j + j + 21. Let i(y) = -6*y + 23*y - 10*y - j*y. Let p(q) = -4*q. Let b = 11 + -8. Give b*i(n) + p(n).
-n
Let r(q) = 3*q - 16. Let w(f) = 99*f + 5 + 97*f - 197*f. What is -2*r(d) - 7*w(d)?
d - 3
Let z(g) = 10*g**3 - 5*g**2 + 4*g - 3. Let t(p) = -31*p**3 + 16*p**2 - 13*p + 10. Give -2*t(h) - 7*z(h).
-8*h**3 + 3*h**2 - 2*h + 1
Let t(n) = 13*n**3 - 16*n**2 + 82*n + 23. Let l(m) = -4*m**3 + 5*m**2 - 27*m - 7. Calculate 10*l(h) + 3*t(h).
-h**3 + 2*h**2 - 24*h - 1
Let x(p) = -444*p - 31. Let h(w) = 146*w + 11. What is -8*h(b) - 3*x(b)?
164*b + 5
Let y(r) = -14*r + 11. Let f = 10 - 21. Let h be (f - 2) + (2 - 0). Let w(g) = 5*g - 4. Let v be ((-8 - -3)/(-5))/(3/(-12)). What is h*w(x) + v*y(x)?
x
Let f(m) be the second derivative of 3*m**5/40 - 7*m**4/24 - m**3/3 + 6*m. Let l(o) be the second derivative of f(o). Let r(i) = -3*i + 2. Give 2*l(g) + 7*r(g).
-3*g
Let l(i) = 2*i + 1. Suppose -2*m + 1 = -3. Let s be ((-3)/m)/((-18)/(-24)). Let v(o) be the first derivative of -o**2/2 - 130. Determine s*l(b) - 3*v(b).
-b - 2
Let b(n) = 2. Suppose 17*u = -20 - 82. Let w(y) = -y - 6. Give u*w(r) - 17*b(r).
6*r + 2
Let b = 496 - 505. Let o(k) = 4*k**3 + 3*k + 2. Let w(r) = r**2 - 4*r**3 - 17*r**3 - 9 + 4*r**3 - 12*r. What is b*o(j) - 2*w(j)?
-2*j**3 - 2*j**2 - 3*j
Let j(q) = -q**3 + 10*q**2 + 9*q + 25. Let n be j(11). Let r(m) = 2*m + 5. Let i(z) = -2*z - 6. What is n*i(g) + 4*r(g)?
2*g + 2
Let k(g) = -4*g - 1 + 3*g**2 + 8 - 3 - 4*g**2 + 8*g. Let m(h) = 3*h + 3. Determine 3*k(v) - 4*m(v).
-3*v**2
Let r(h) = 15*h + 8. Let u(b) = 9*b + 4. Give 4*r(x) - 7*u(x).
-3*x + 4
Let x(s) = -4*s + 11 + 6*s**2 - s - 5 - 6*s**3 - s. Let p(o) = 12*o**3 - 13*o**2 + 13*o - 13. Let v = -1719 - -1725. Give v*p(j) + 13*x(j).
-6*j**3
Let u(i) = -41*i**2 - 39*i - 30. Let v(j) = -10*j**2 - 10*j - 7. Give 2*u(k) - 9*v(k).
8*k**2 + 12*k + 3
Let m(x) = 11*x**2 + 16. Let w(t) = 16*t**2 + t + 17. What is 4*m(p) - 3*w(p)?
-4*p**2 - 3*p + 13
Let d(c) = -19*c + 2. Let o(u) = -13*u + 1. Determine 5*d(w) - 7*o(w).
-4*w + 3
Let p be ((-35)/(-15))/((-9)/27). Let m be 2/7 - (-33)/7. Let y(i) = -2*i - 5. Let c(l) = -3*l - 7. Calculate m*c(h) + p*y(h).
-h
Let r(d) = 4*d**2 - 7*d + 9. Let a(b) = -3*b**2 + 6*b - 7. What is -6*a(p) - 5*r(p)?
-2*p**2 - p - 3
Let h(f) = f**3 + 9*f**2 + 19*f + 978. Let o(v) = 2*v**2 + 4*v + 245. What is -2*h(r) + 9*o(r)?
-2*r**3 - 2*r + 249
Let f(w) = -2*w - 34. Let r(d) = -2*d - 35. Determine -4*f(g) + 5*r(g).
-2*g - 39
Let j(a) = -2*a**3 - 7*a**2 + 3*a - 3. Let w(b) = -2*b**3 - 6*b**2 + 4*b - 4. Give 4*j(d) - 3*w(d).
-2*d**3 - 10*d**2
Let o(w) = -2*w**2 + 3*w - 3. Let g(l) = 91*l**2 - 131*l + 149. Let t(c) = 23*c**2 - 33*c + 37. Let m(z) = -2*g(z) + 9*t(z). Give -3*m(n) - 35*o(n).
-5*n**2
Let x(v) = -2*v**3 - 4*v**2 - 2*v + 5. Let k be x(-2). Let j(r) = 7*r. Let u(l) = 4*l. What is k*u(z) - 4*j(z)?
8*z
Let y(v) = -6*v**2 + 6*v + 11. Let r(a) = -7*a + 4*a**2 + 6*a**2 + 8 - a**3 - 2*a**2. Let w be r(7). Let h(t) = -2*t**2 + 2*t + 4. Determine w*h(i) - 3*y(i).
2*i**2 - 2*i - 1
Let x(q) = 3*q**3 - 5*q**2 + 4*q + 2. Let a(p) = 4*p**3 - 4*p**2 + 3*p + 1. What is -4*a(o) + 3*x(o)?
-7*o**3 + o**2 + 2
Let t(p) = p - 5. Let n(h) = -2*h + 6. Let f = 574 - 580. What is f*n(v) - 7*t(v)?
5*v - 1
Let n(v) = -26*v - 5. Let r(d) = 24*d + 6. Calculate 6*n(q) + 5*r(q).
-36*q
Let l(j) be the second derivative of j**3/6 - j**2/2 + 37*j + 1. Let y(q) = 5*q - 10. What is 4*l(c) - y(c)?
-c + 6
Let f(u) = -122*u**2 + 2*u - 7. Let b(n) = 62*n**2 - n + 3. What is -5*b(x) - 2*f(x)?
-66*x**2 + x - 1
Let k(x) = x - 1. Suppose -3*o - 12 = 0, -5*o - 30 - 38 = 4*d. Let s(t) = -t + 1. Let w(z) = -4*z + 4. Let i(l) = 2*s(l) - w(l). What is d*k(v) + 5*i(v)?
-2*v + 2
Let m(r) = -3*r**2 - 5*r - 136. Let p(t) = -t**2 - 2*t - 46. Calculate 4*m(h) - 11*p(h).
-h**2 + 2*h - 38
Let b(s) = -35*s + 16. Let g(z) = 2*z. Give -b(q) - 5*g(q).
25*q - 16
Suppose -2*g + 13 = -2*s + 15, 5*g + 9 = 3*s. Let w(u) = -13*u**3 + 16*u**2 + 10*u - 7. Let t(j) = -4*j**3 + 5*j**2 + 3*j - 2. What is s*w(q) + 7*t(q)?
-2*q**3 + 3*q**2 + q
Let z(q) = q**2 + q - 1. Let g(p) = -7*p**2 + 6. Let s(j) = g(j) + 2*z(j). Let a be (-14)/133 - (-51)/(-57). Let c(b) = -b**2 + 1. Calculate a*s(v) + 4*c(v).
v**2 - 2*v
Let j(q) = q**3 + 3*q - 2. Let g(z) = z**3 + 4*z - 3. Let h = 13 - 11. What is h*g(f) - 3*j(f)?
-f**3 - f
Let a = -1 - 4. Let w be ((-226)/(-339))/(2/3). Let t(v) = -2*v**2 + 2*v + 5. Let f(d) = 1. Determine a*f(x) + w*t(x).
-2*x**2 + 2*x
Let s(j) = 7*j - 1. Let g(l) = 36*l - 845. Give -g(b) + 5*s(b).
-b + 840
Let k(p) = -19*p**2 + 102*p + 22. Let r(d) = 9*d**2 - 50*d - 10. Calculate -6*k(i) - 13*r(i).
-3*i**2 + 38*i - 2
Let p(f) = -228*f + 8. Let w(t) = 227*t - 7. Give -6*p(h) - 7*w(h).
-221*h + 1
Let p(z) = z**2 + 12*z - 2. Let g be p(-12). Let a(f) = -f + 5. Let q(d) = 1. Let x(y) = -a(y) + 5*q(y). Let o(c) = 4*c + 1. What is g*o(r) + 6*x(r)?
-2*r - 2
Let w(s) be the third derivative of 2*s**5/15 + s**4/6 - 2*s**3/3 - 2*s**2. Let p(x) = 2*x**2 + x - 1. Determine 9*p(v) - 2*w(v).
2*v**2 + v - 1
Let w(q) = q**2. Let h(d) = 9*d**2. Suppose 0 = 54*n - 58*n + 12, -5*l - 7 = -4*n. Calculate l*h(c) - 18*w(c).
-9*c**2
Let l(m) = 3*m**3 + 4*m**2 - 3. Suppose 5*s - 60 = 5*t - 45, 0 = 3*s - 2*t - 5. Let k(o) = o**3 - o**2 + 1. Give s*l(j) - 2*k(j).
-5*j**3 - 2*j**2 + 1
Let b(z) = 2*z**2 - 2* | {
"pile_set_name": "DM Mathematics"
} |
et z(h) = -12*h**2 + h + 6. Let a(u) = -10*u**2 + 10*u**2 - 5 + 11*u**2 - u. What is 7*a(y) + 6*z(y)?
5*y**2 - y + 1
Let a(b) = b**3 + b + 1. Let y(p) = -30*p**3 + 60*p + 60. What is 60*a(u) - y(u)?
90*u**3
Let r(x) = 6*x + 102. Let j(q) = -10*q - 153. Determine 5*j(m) + 8*r(m).
-2*m + 51
Let h(m) = 151 + 15*m**3 - 128 - m**3. Let l(i) = 5*i**3 + 8. Suppose 2*u - 5*u = -9. Suppose -2*k + 76 = -4*y, -2*k + k = -u*y - 55. Determine y*l(j) + 6*h(j).
-j**3 + 2
Let f(q) = 13*q + 0 - 9*q - 1 - 2. Let j(l) = l - 1. What is -2*f(c) + 7*j(c)?
-c - 1
Let f(v) = v**3 - v**2 - v. Let n(r) = -r**3 + 4*r**2 + 5*r - 3. Give -3*f(k) - n(k).
-2*k**3 - k**2 - 2*k + 3
Let p(o) = -77*o**3 - 8*o**2 - 20*o - 6. Let w(y) = -26*y**3 - 3*y**2 - 7*y - 2. What is 6*p(d) - 17*w(d)?
-20*d**3 + 3*d**2 - d - 2
Let p(i) be the second derivative of -i**3/3 + i**2/2 + 28*i - 3. Let v be -1*(0 + -1) - 0. Let d(j) = 2 + 2 + 0 - 3. Determine v*p(o) - 2*d(o).
-2*o - 1
Let p(i) = -136*i**3 - 28*i**2 - 11*i - 3. Let z(s) = 45*s**3 + 10*s**2 + 4*s + 1. Give -4*p(x) - 11*z(x).
49*x**3 + 2*x**2 + 1
Let j(a) = -319*a**3 - 6*a + 6. Let f(l) = -319*l**3 - 5*l + 5. Give -6*f(s) + 5*j(s).
319*s**3
Let d(r) = -r + 16. Let m be d(11). Let p(t) = 19*t**2 + 5*t + 5. Let i(k) = 9*k**2 + 2*k + 2. What is m*i(c) - 2*p(c)?
7*c**2
Suppose 6*z + 78 = 102. Let x(t) = -5*t**3 + t**2 - 11*t. Let w(r) = 2*r**3 + 4*r. Suppose 0 = -5*v + 21 + 34. Determine v*w(k) + z*x(k).
2*k**3 + 4*k**2
Let o(w) = 39*w + 16. Let s(t) = t + 3. Calculate -2*o(i) + 10*s(i).
-68*i - 2
Let y(m) be the third derivative of m**6/40 + m**5/30 - m**4/24 - m**3/2 - 2*m**2. Let j(l) = 13*l**3 + 9*l**2 - 5*l - 13. Calculate -4*j(b) + 18*y(b).
2*b**3 + 2*b - 2
Let y(b) = -3*b + 4. Let j(g) = -1. Let z(h) = 6*j(h) + 3*y(h). Let i(s) = 8*s - 5. What is 5*i(x) + 4*z(x)?
4*x - 1
Let j(q) = -q + 5. Let w(o) = 1. Let t = -7 + 9. Suppose 0 = -5*p + 20, -10 = -4*r + t*r + 2*p. What is r*w(b) - 2*j(b)?
2*b - 1
Let p(a) = -3*a**3 + 6*a**2 + 5*a - 3. Let x be ((-2)/4)/(6/60). Let k(n) = -3*n**3 + 5*n**2 + 4*n - 2. Determine x*p(r) + 6*k(r).
-3*r**3 - r + 3
Suppose -4*c - 2*t = -18, -t + 5 = 4*t. Let x(l) = 2*l + 0*l - 5*l + l**2 + c*l. Suppose 3*r = 2*r + 3. Let m(a) = -2*a**2 - 2*a. Give r*m(v) + 5*x(v).
-v**2 - v
Let g(n) = -8*n**3 - 5*n. Let y(f) = f + 1. Determine -2*g(k) - 10*y(k).
16*k**3 - 10
Let v(y) = -y**3 + 5*y - 2. Let n(r) = -r. Let k(x) = -5*n(x) - v(x). Let u(a) = 1 - 2 + 4. Determine 3*k(w) - 2*u(w).
3*w**3
Let g(q) be the first derivative of 78*q**4 + 143*q**3/3 + 143*q**2/2 - 143*q - 265. Let v(x) = -13*x**3 - 6*x**2 - 6*x + 6. Determine 6*g(a) + 143*v(a).
13*a**3
Let f(l) be the first derivative of l**3 + l**2/2 - l + 718. Let n(t) = -t. Give -f(h) - n(h).
-3*h**2 + 1
Let f(w) = w + 2. Suppose -4*d + 5 = -3*t, -10 = -d + 2*t - 5. Let l(b) = b - 1. What is d*f(o) - 4*l(o)?
-5*o + 2
Let t(i) = 6 - 6*i - 11 + 14. Let x(n) = 9*n - 14. Give -8*t(y) - 5*x(y).
3*y - 2
Let g(j) = -185*j + 2. Let i(a) = -a. Determine g(s) - 4*i(s).
-181*s + 2
Let z(h) = -h + 3. Let v(r) = r**2 + 3*r + 24. Calculate v(g) + z(g).
g**2 + 2*g + 27
Suppose 2 = 2*j - 12. Let m(o) = -6*o**2 + 7*o - 4. Let h = 20 + -2. Let y = h + -13. Let d(a) = 4*a**2 - 5*a + 3. What is j*d(z) + y*m(z)?
-2*z**2 + 1
Let w(r) = -6*r**2 - 31*r - 15. Let l(k) = -k**2 - 6*k - 3. What is 11*l(d) - 2*w(d)?
d**2 - 4*d - 3
Let g(j) = -2*j**3 + 2*j**2 + 51. Let n(l) = 7*l**3 - 9*l**2 - 205. Give -9*g(w) - 2*n(w).
4*w**3 - 49
Let q be (-10)/((6/(-8))/(18/16)). Suppose 4*p = -4*m, 5*p + m = p - q. Let f(t) = 5*t**3 - t**2. Let n(d) = -9*d**3 + d**2. Give p*f(v) - 3*n(v).
2*v**3 + 2*v**2
Let b(u) = -2*u - 4. Let z(l) = 3*l - l + 5 + l. Let s(a) = -a**3 + 44*a**2 + 43*a + 87. Let n be s(45). Determine n*z(v) - 4*b(v).
-v + 1
Let r(t) = t. Let s(w) = -w**2 + w - 2. Suppose -14 = -5*i + q, 0 = 5*q + 29 - 9. Determine i*r(z) - s(z).
z**2 + z + 2
Let g(t) = -3*t + 3*t - t. Let b(i) be the first derivative of -i**3/3 - i**2 + 1522. Let s be 1/((-5)/4 + 1). Calculate s*g(m) + 2*b(m).
-2*m**2
Let d(y) = 31*y**2 - 26*y**2 + 1 + 4 - 5*y. Suppose -l - 4*u - 13 = 0, -2*l - 4 = -20*u + 17*u. Let a(i) = i**3 - i**2 + i - 1. Determine l*a(h) - d(h).
-5*h**3
Let y be (-2)/(-4) - (-432)/288. Let b(k) = k**3 - 2*k**2 - 2*k - 2. Let h(x) = -2*x**3 + 3*x**2 + 3*x + 3. Calculate y*h(g) + 3*b(g).
-g**3
Suppose 0 = 16*r - 95 - 17. Let o(a) = -a - 3. Let j(d) = 2*d + 4. Determine r*o(y) + 5*j(y).
3*y - 1
Let o(x) = -15*x**2 - 9*x - 63. Let d(u) = 7*u**2 + 4*u + 32. What is 13*d(r) + 6*o(r)?
r**2 - 2*r + 38
Let c be (88/44)/(2/4). Let n(a) = -14*a**2 - 14*a - 20. Let o(l) be the second derivative of -5*l**4/12 - 5*l**3/6 - 7*l**2/2 - 4*l. Give c*n(h) - 11*o(h).
-h**2 - h - 3
Let z(l) = -l. Suppose -4*v + 2*s = 4*s - 376, 4*s = 2*v - 208. Let c be v/40 - (-2)/(-5). Suppose 4 = c*a + 2. Let g(i) = 2*i**2 + 4*i. Give a*g(h) + 4*z(h).
2*h**2
Let q(t) = 1. Let j(b) = -3*b + b + b + 3. Give -j(w) + 5*q(w).
w + 2
Let i(m) = 527*m**3 - 14*m**2 + 4*m - 14. Let u(v) = -176*v**3 + 4*v**2 - v + 4. Give 2*i(z) + 7*u(z).
-178*z**3 + z
Let q(c) = 4*c**3 - 19*c**2 + 3. Let b(m) = -5*m**3 + 20*m**2 - 4. Determine 5*b(g) + 6*q(g).
-g**3 - 14*g**2 - 2
Let d(f) = 21*f - 3. Let x(p) = -p - 2. Determine -2*d(m) + 4*x(m).
-46*m - 2
Let v(o) = 7*o - 10. Let g(k) = k**2 - 8*k + 13. Determine -4*g(q) - 5*v(q).
-4*q**2 - 3*q - 2
Let m(f) = 4*f**3 + f**2 - f + 10. Let b(v) = -6*v**3 - 2*v**2 + 2*v - 19. Determine 3*b(q) + 5*m(q).
2*q**3 - q**2 + q - 7
Let x(b) = 30*b**2 - 2*b + 8. Let y(g) = 29*g**2 - 2*g + 10. Determine 4*x(s) - 3*y(s).
33*s**2 - 2*s + 2
Let x(t) = -13*t - 12. Let n(l) = -13*l - 11. What is 3*n(g) - 2*x(g)?
-13*g - 9
Let b(p) = -p + 1. Let m(r) = -8*r - 18. Let z(u) = 39*u + 96. Let i(a) = -21*m(a) - 4*z(a). Give -4*b(h) - i(h).
-8*h + 2
Let k(c) = 10*c + 63. Let t(a) = -12*a - 63. Determine 5*k(r) + 4*t(r).
2*r + 63
Let w(j) = -j**3 + j**2 + j. Suppose 5 + 3 = z. Suppose z*u + 24 = 11*u. Let n be (2/u)/(5/(-20)). Let y(o) = o**3. Determine n*w(t) + y(t).
2*t**3 - t**2 - t
Let v(x) = 5*x**2 + 7*x + 1. Let m(n) = -4*n**2 - 6*n + 1 - 2 + 0*n. Let s = 25 + 8. Let d = s + -38. Determine d*v(z) - 6*m(z).
-z**2 + z + 1
Let h be (1/2)/(-3*6/(-612)). Let v(n) = -15*n + 4 + 29*n + 3*n**2 - h*n - 1. Let o(c) = -c**3 - c**2 + c - 1. What is -3*o(p) - v(p)?
3*p**3
Let d(n) = 3*n**3 - 5*n**2 + 5*n + 6. Let u(q) = -13*q**3 + 22*q**2 - 23*q - 23. Determine 9*d(y) + 2*u(y).
y**3 - y**2 - y + 8
Let h(j) = -11*j + 2. Let z(f) = 3*f - 17. Let d be z(5). Let r(u) = 45*u - 9. What is d*r(a) - 9*h(a)?
9*a
Let n = -58 + 71. Suppose -13*p = -0 + n. Let l(a) = -a. Let z(q) = -2*q + 2. Determine p*z(i) + 3*l(i).
-i - 2
Let a(t) = 1978 - 7*t - 985 - 988 - 8*t**2. Let r(f) = -7*f**2 - 6*f + 4. What is 4*a(v) - 5*r(v)?
3*v**2 + 2*v
Let y(v) = -17*v**2 + 409*v + 22. Let d(f) = 6*f**2 - 137*f - 8. What is 11*d(r) + 4*y(r)?
-2*r**2 + 129*r
Let p(i) = -i**2. Let q(l) = -l**3 + 13*l**2. Let d be 0 + 0 - (9 - 9). Suppose d = -11*w - 790 - 68. Determine w*p(m) - 6*q(m).
6*m**3
Let f(o) = 5*o**3 + 3*o**2 + 5. Suppose -2*t = -m - 3, t = 2*m - 3 - 0. Let s(p) = -11*p**3 - 5*p**2 - 9. What is m*s(g) + 5*f(g)?
-8*g**3 - 2
Let k be (-88)/40 - 2/(-10). Suppose 5*x - 2*h = 25 + 2, 0 = -4*x - 4*h + 16. Let c(f) = 2*f + 1. Let d(l) = 4*l + 3. Give k*d(s) + x*c(s).
2*s - 1
Let k(s) = -2*s**3 + s**2 - 2*s. Let q(c) = -55*c**2 - 3*c + 36*c**2 + 21*c**2 - 4*c**3. What is 5*k(m) - 3*q(m)?
2*m**3 - m**2 - m
Let o(y) = -19*y**2 - 2*y - 8. Let z(d) = 10*d**2 + d + 4. Determine -6*o(s) - 11*z(s).
4*s**2 + s + 4
Let p(k) = -119*k. Let j(a) = 35*a - 84. Let m(y) = 2*y - 4. Let l(r) = -j(r) + 21*m(r). What is 70*l(b) + 4*p(b)?
14*b
Let x(g) = -g**3 - 3*g**2 + 3. Let i(v) = v**2. Calculate 5*i(s) + x(s).
-s**3 + 2*s**2 + 3
Let d(o) = -14*o**3 - o - 1. Let l(a) = a**3 - a. Suppose -3*n + 67 - 79 = 0, g = 2*n + 9. Determine g*d(v) - l(v).
-15*v**3 - 1
Let g be (-4)/16*(4 + 36)/10. Suppose x + 0 = -6. Let j(u) = u**3 + u. Let t(p) = -4*p**3 - 4*p - 1. What is g*t(m) + x*j(m)?
-2*m**3 - 2*m + 1
Let g be 4/18 + (-11)/(1287/377). Let l(i) = -2*i**2 - i + 3. Let p(o) = -o**2 - 2*o + 4. What is g*p(a) + 4*l(a)?
-5*a**2 + 2*a
Suppose 0 = -2*y - 4*w, -14 + 11 = y + 5*w. Suppose -33 = | {
"pile_set_name": "DM Mathematics"
} |
**(2/101) assuming n is positive.
n**(-26/101)
Simplify (x/(x*x**(-2/3)*x))**0/(x**0)**(-11) assuming x is positive.
1
Simplify s**25*s**(1/55) assuming s is positive.
s**(1376/55)
Simplify (j**(1/7)*j*j*j**(-4))**(-1/43) assuming j is positive.
j**(13/301)
Simplify (h**(-13)*h)/h**(-14) assuming h is positive.
h**2
Simplify o**(2/31)*o*o*o**33/o*o assuming o is positive.
o**(1087/31)
Simplify (l**(-3/2)/l**12)**(-2/11) assuming l is positive.
l**(27/11)
Simplify ((i*i/(i/i**(1/11)))/(i/(i/i**(2/5))))**1 assuming i is positive.
i**(38/55)
Simplify (j**(-16))**10 assuming j is positive.
j**(-160)
Simplify ((s*s**(-10/7))**50)**(23/5) assuming s is positive.
s**(-690/7)
Simplify (s/(s/((s/(s/(s*s**(-1/17))))/s*s)))**(-16) assuming s is positive.
s**(-256/17)
Simplify w*w**(-2/5)*w**(-35)/w assuming w is positive.
w**(-177/5)
Simplify (l**5)**(28/5) assuming l is positive.
l**28
Simplify z*z*z/(z/z**(-4/5))*z*z**2*z*(z**(1/4))**(3/7) assuming z is positive.
z**(743/140)
Simplify l**(-11)*l*l**(4/9)/l assuming l is positive.
l**(-95/9)
Simplify ((i**(2/11)*i)/i**(1/14))**(-2/137) assuming i is positive.
i**(-171/10549)
Simplify ((r**2/r)/r)/r**(-21) assuming r is positive.
r**21
Simplify s**(-5)/s*s**(-3)*s**(-6)*s**(-3/2) assuming s is positive.
s**(-33/2)
Simplify (k/(k/((k/k**(-4/23))/k)))/k**19 assuming k is positive.
k**(-433/23)
Simplify ((m*m**3)/(m*m**3))**(9/7) assuming m is positive.
1
Simplify (u*u**(1/3))**(-9)*u/(u**(-6)/u)*u**(1/12) assuming u is positive.
u**(-47/12)
Simplify (p*p/p**7*p*p**(-1/7))**(-6/19) assuming p is positive.
p**(174/133)
Simplify v**(-33/7)/(v*v*v/v**(3/5)*v) assuming v is positive.
v**(-284/35)
Simplify o**1/o**(-5/3) assuming o is positive.
o**(8/3)
Simplify (q**(1/4)/(q**0*q))**(4/11) assuming q is positive.
q**(-3/11)
Simplify ((n**(-2/3)/n)**(-34))**6 assuming n is positive.
n**340
Simplify ((r/(r*r**(3/2)))/r**(7/2))/(r*r*r**(-1))**(-29) assuming r is positive.
r**24
Simplify (r**(2/9)*r/r**4)/(r*r*r*r**(-5)*r*r/(r**(-1/15)/r)*r) assuming r is positive.
r**(-218/45)
Simplify f/f**(5/3)*(f/f**(1/9))/f*(f**(-1))**(-34) assuming f is positive.
f**(299/9)
Simplify ((y**(-1/2)/y)**(-2/11))**(17/2) assuming y is positive.
y**(51/22)
Simplify (r/(r**(2/5)/r)*r*r*(r**5*r*r)/r)/(r**0*r)**(-3/17) assuming r is positive.
r**(831/85)
Simplify (x**(-2/7))**(1/3)*(x**(-1))**(2/21) assuming x is positive.
x**(-4/21)
Simplify i**(-2/5)/(i**(3/5)*i)*(i*i**3)/i**(2/11) assuming i is positive.
i**(20/11)
Simplify (g**(-1/8)/(g*g*g/g**(-2/5)*g))/((g/g**(-1/5))/(((g/((g/(((g*(g/((g*g**(-2/13)*g*g)/g*g))/g)/g)/g))/g))/g)/g*g)) assuming g is positive.
g**(-4977/520)
Simplify ((d*(d*d**(2/7))/d)/(d/(d*d*d/(d**(-4/3)*d)*d*d*d)))**45 assuming d is positive.
d**(2085/7)
Simplify ((n*n**(-1)*n*n)**(-2/53))**(-15) assuming n is positive.
n**(60/53)
Simplify ((z/(z/(z**(9/4)*z))*z)/z)/(z**(-2/19)*z) assuming z is positive.
z**(179/76)
Simplify (n**(2/5))**(2/35)*(n*n**(-9)*n*n*n)/n*n**(-1/5) assuming n is positive.
n**(-1081/175)
Simplify s/s**(3/7)*(s/(s*s/(s/s**(-2/5))*s))/s assuming s is positive.
s**(-36/35)
Simplify ((c**(-10)*c)/c**(2/17))**(-2/99) assuming c is positive.
c**(310/1683)
Simplify x**(8/7)/x**(1/8) assuming x is positive.
x**(57/56)
Simplify ((k**(-16)/k)/k)**(3/4) assuming k is positive.
k**(-27/2)
Simplify (u**(-2/7)/(u*u*u/(u/((u**(-6)/u)/u))))/(u**3*u**(7/2)) assuming u is positive.
u**(-11/14)
Simplify v*v**(2/21)*v/(v/(v*v**(1/38))) assuming v is positive.
v**(1693/798)
Simplify (g**(2/9)/g**(1/6))/(g*g**(2/3)*g*g)**(-1/36) assuming g is positive.
g**(17/108)
Simplify (d*d**(3/16))/d**(-2/7) assuming d is positive.
d**(165/112)
Simplify b**5*b**(-1)*b*b**(-5)*b*b*((b**(-6)*b*b)/b)/b*b assuming b is positive.
b**(-3)
Simplify u**21/(u/(((u*u*u**13)/u*u)/u)) assuming u is positive.
u**34
Simplify (a/a**(-3))**(1/23) assuming a is positive.
a**(4/23)
Simplify ((v**(-1/3)/v)/(v**(-4)/v))**(-1) assuming v is positive.
v**(-11/3)
Simplify (((j**(2/9)/j)/j)**(3/26))**(-41) assuming j is positive.
j**(328/39)
Simplify (i*i**11)/i*i*i*(i**(-3)/i)/i assuming i is positive.
i**8
Simplify ((z*z**(-16))/z*z)/z**3 assuming z is positive.
z**(-18)
Simplify (j/(j*j*j**(-3/13)))/(j*j*j*(j*j**1)/j) assuming j is positive.
j**(-62/13)
Simplify ((h*(h/(h/h**(2/13)))/h)/h)/(h/(h*h**(-26)/h)) assuming h is positive.
h**(-362/13)
Simplify g/(g/(g*g**11)*g*g)*g**(18/13) assuming g is positive.
g**(148/13)
Simplify j**(5/6)/j*j**(3/5)/j assuming j is positive.
j**(-17/30)
Simplify ((i/((i*i/i**(1/20)*i)/i))/i)/i*i/((i*i**(-7/9)*i)/i)*i assuming i is positive.
i**(-211/180)
Simplify ((h*h**15*h)/h**(7/5))**(-4/9) assuming h is positive.
h**(-104/15)
Simplify (l**(-7/4)/(l*l/(l**(-7)*l)*l))/((l*l/(l**9/l))/(l*l/((l*l/l**(9/2))/l))) assuming l is positive.
l**(3/4)
Simplify (((u/u**(-1/22))/u)/u*u**(-12))**(2/23) assuming u is positive.
u**(-285/253)
Simplify ((m**5*m)/m**(-1))/(m*m**(-2/15)*m**(-6)) assuming m is positive.
m**(182/15)
Simplify (t/(t**(-16)*t))**(-27) assuming t is positive.
t**(-432)
Simplify (q**(-2/5)/q**(-6))/(q**2*q*q*q**6/q) assuming q is positive.
q**(-17/5)
Simplify (g**(-5/3)/(g*g**(-1/3)/g))/(g**(1/2))**(4/5) assuming g is positive.
g**(-26/15)
Simplify (j**(-1/24)/j)/(j*j*(j**34*j)/j*j) assuming j is positive.
j**(-913/24)
Simplify h**(-2/9)/(h*h/(h/((h/(((h*h**(-2/15)*h)/h*h)/h)*h)/h))) assuming h is positive.
h**(-61/45)
Simplify h**(-1/14)*h*h*h/(h*h/h**(-23)) assuming h is positive.
h**(-309/14)
Simplify (t*t**(-3))/t**(-3/8) assuming t is positive.
t**(-13/8)
Simplify (f**5*f**(3/5))/(f**7*f**0) assuming f is positive.
f**(-7/5)
Simplify ((i*i/(i**0*i))**2)**(-34) assuming i is positive.
i**(-68)
Simplify l**(-1/6)*l**33 assuming l is positive.
l**(197/6)
Simplify ((g**(8/3)/g)/g)**(1/4) assuming g is positive.
g**(1/6)
Simplify z/(z*z/(z**(-8)/z*z)*z*z*z)*z**(-12) assuming z is positive.
z**(-24)
Simplify (b**(-1/4))**(17/2)*(b**(-1/3)*b)**(-2/9) assuming b is positive.
b**(-491/216)
Simplify ((l**(1/5))**(21/4))**(-2/23) assuming l is positive.
l**(-21/230)
Simplify (d**(-1/3)/(d/(d/(d*d**4*d))))**35 assuming d is positive.
d**(-665/3)
Simplify (b/((b**6*b)/b)*b*(((b**(-5)*b)/b)/b)/b)**(-3/11) assuming b is positive.
b**3
Simplify (i/i**(-1/5))**(-1/7)/(i**(-2/5))**(-2/3) assuming i is positive.
i**(-46/105)
Simplify (h/(h/(h*(h/h**16)/h*h*h)))/h**(-10) assuming h is positive.
h**(-3)
Simplify (v/((v/v**(-1/2))/v))/(v/(((v*v*v**(2/23))/v)/v))*(v**(2/3))**(3/25) assuming v is positive.
v**(-383/1150)
Simplify f**(-2/33)/(f/f**(-22)) assuming f is positive.
f**(-761/33)
Simplify (t*t**(6/7))**(-50) assuming t is positive.
t**(-650/7)
Simplify (s/(s**0/s))**(6/5)/(((s*s**(-6))/s)/s*s**4) assuming s is positive.
s**(27/5)
Simplify (h*h**(-1/4)*h*h*h**(2/11)*h)/(h**(3/11)/((((h/h**(-1/5))/h)/h)/h)) assuming h is positive.
h**(409/220)
Simplify g**(-2/27)*g**(-27)*g assuming g is positive.
g**(-704/27)
Simplify (l**(-1))**39*(l/l**(4/5))/l*l**(-2/17) assuming l is positive.
l**(-3393/85)
Simplify (w**(3/7)*w**19*w*w)**(-2/7) assuming w is positive.
w**(-300/49)
Simplify ((j/(j**(3/5)*j*j))**(3/2))**(-18/7) assuming j is positive.
j**(216/35)
Simplify (u*u**(6/11)*u)/(u*u**(3/4))*u**(-3)*u*u*u**7 assuming u is positive.
u**(299/44)
Simplify c*(c/(c*c**(7/2)/c)*c*c)/c*c*c**(-24) assuming c is positive.
c**(-47/2)
Simplify i**(-2/17)/i**(5/6) assuming i is positive.
i**(-97/102)
Simplify (f*f**27*f)/f**15 assuming f is positive.
f**14
Simplify ((z*z**2)/z)/z**(-1/24) assuming z is positive.
z**(49/24)
Simplify ((q/(q**(-2/5)/q))/((q*(q**6/q)/q)/q))/(q**2/q*q*q**(-7)) assuming q is positive.
q**(17/5)
Simplify ((p*((p/(p**1/p))/p)/p*p)/p*(p*p*p**(-5)*p)/p)/(p**2/(p*p/(p/p**2)*p*p)) assuming p is positive.
1
Simplify x**(1/12)*x**19 assuming x is positive.
x**(229/12)
Simplify ((l**(2/9)*l)**(-42))**35 assuming l is positive.
l**(-5390/3)
Simplify (s**(2/7))**(-23)*((s*(s*((s**(-3)*s*s*s)/s)/s)/s*s)/s)/s**(-5) assuming s is positive.
s**(-18/7)
Simplify (t/(t**(-9)*t)*t*t/(t*t*t*t/(t/((t/t**6)/t))*t*t)*t)/(t**(1/11)/(t*t**(1/2))) assuming t is positive.
t**(317/22)
Simplify ((b*b**1*b)/b)**(-43) assuming b is positive.
b**(-86)
Simplify ((((i*i**(-4/7))/i)/i)/i**6)**(-3/17) assuming i is positive.
i**(159/1 | {
"pile_set_name": "DM Mathematics"
} |
= -45213*v**2 - 1617. Let t(h) = 1222*h**2 + 44. Let g(r) = 4*c(r) + 147*t(r). Let p(n) = -2*n**2. Give p(g(q)).
-2967048*q**4
Let z(w) = 9*w**2. Let t(o) = -9*o**2 - 29*o**2 + 70*o**2 - 7 + 6 - 55*o**2. Determine z(t(j)).
4761*j**4 + 414*j**2 + 9
Let b = -3126 + 3126. Let q(v) be the first derivative of b*v + 9 - 1/2*v**2. Let u(r) = 2*r**2. Determine u(q(k)).
2*k**2
Let r(l) = -9*l**2. Let z(w) = -3 - 4 + 2 + 219*w - 29*w + 7. Determine z(r(f)).
-1710*f**2 + 2
Let g(j) = -2*j. Let t(h) be the first derivative of -24 + 136*h + 2*h**4 + h**4 + 131*h - 298*h. Let y(k) be the first derivative of t(k). Determine y(g(n)).
144*n**2
Let t(q) = 13*q**2. Let b be -4 + 4 + -4 - -44. Suppose 43*m = b*m + 21. Let n(k) = 2*k - 3*k**2 + m*k - 9*k. Calculate t(n(p)).
117*p**4
Let d(m) = -55*m. Let x(w) = 3*w**2 - 2*w. Let p(f) = 11*f**2 - 9*f. Let a = -498 - -507. Let c(n) = a*x(n) - 2*p(n). Determine c(d(t)).
15125*t**2
Let t(w) = -7*w - 9*w + 5*w. Let n(y) = -4342*y - 4480*y + 8817*y. What is t(n(o))?
55*o
Let s(l) = 68519*l**2. Let u(a) = -47*a**2. What is s(u(o))?
151358471*o**4
Let w(g) = 55312*g. Let k(a) = 6795*a**2. Give w(k(n)).
375845040*n**2
Let f(j) = 6*j. Let c(h) = -98*h**2 - 5*h + 12. Let s(l) = 95*l**2 + 6*l - 14. Let y(g) = 7*c(g) + 6*s(g). Give y(f(i)).
-4176*i**2 + 6*i
Let m(b) = -10 + b + 10. Suppose 108 = 5*g + 3*l + l, 4*g + 4*l - 84 = 0. Let i(w) = -488*w - 1 + 487*w - g - 6. Calculate m(i(x)).
-x - 31
Let b(r) = 13383*r + 4. Let a(p) = -684*p. Calculate b(a(o)).
-9153972*o + 4
Let a(l) = -l. Let u(x) be the second derivative of 59*x**6/144 + 115*x**4/12 - 40*x. Let y(h) be the third derivative of u(h). Calculate y(a(f)).
-295*f
Let w(b) = 4*b**2 - 111*b + 134*b - 23*b. Let m(o) = -2597*o. Calculate w(m(y)).
26977636*y**2
Let z(w) = 4*w. Let y(f) = -7*f**2 + 25*f + 1739. What is y(z(c))?
-112*c**2 + 100*c + 1739
Let v(j) = -5396979*j**2. Let s(x) = x. What is v(s(h))?
-5396979*h**2
Let a(m) = -1734*m + 93. Let i(h) = 126*h. What is a(i(t))?
-218484*t + 93
Let y(s) = -s - 5. Let j(x) = x - 137673. Determine j(y(f)).
-f - 137678
Let l(p) = -8*p - 27. Let f(v) = v - 1. Let x(j) = 6*f(j) + l(j). Let o(z) = -20*z + 13. Let g(s) = 9*s - 6. Let y(q) = -13*g(q) - 6*o(q). Determine y(x(i)).
-6*i - 99
Let d(x) = 3*x**2. Let a(h) = 22750300*h**2. What is d(a(i))?
1552728450270000*i**4
Let s(v) = -6*v**2. Let o(x) be the first derivative of 0*x**2 - 2/3*x**3 + 0*x + 23. Calculate o(s(t)).
-72*t**4
Let d(r) = -3489 + 7*r + 16*r + 3487. Let b(t) = 5*t**2 - 6*t**2 + 0*t**2. Calculate b(d(i)).
-529*i**2 + 92*i - 4
Let v(o) = 44*o**2 + 60*o**2 - 116*o**2. Let r(c) = -5*c**2. Let a(i) = 10*r(i) - 4*v(i). Let p(b) = -131*b**2. Calculate p(a(y)).
-524*y**4
Let s(h) = 5400*h. Let f(g) = -12420*g. Calculate s(f(o)).
-67068000*o
Let q(l) = -7261*l. Let b(u) = -1250*u**2. Calculate b(q(h)).
-65902651250*h**2
Let m(d) be the first derivative of -3*d**2/2 - 922. Let o(g) = 249*g. Determine m(o(p)).
-747*p
Let q(o) = -46237*o. Let a(r) = -59*r - 23. Give q(a(n)).
2727983*n + 1063451
Let m(v) = -13*v**2. Let g(q) = q + 6. Let w(j) = -15*j + 24. Let z(t) = -4*g(t) + w(t). What is z(m(o))?
247*o**2
Let x(p) = 11*p. Suppose 5*h = 5*v - 4 - 1, 4 = -4*h. Suppose v = 2*k - 60 - 46. Let r(t) = k*t - 30*t - 27*t. Determine x(r(m)).
-44*m
Let y(q) = 837013*q. Let k(f) = -14*f**2 + 1. Give y(k(r)).
-11718182*r**2 + 837013
Let c(l) = 3*l**2. Let h(u) = 654975*u. Calculate c(h(f)).
1286976751875*f**2
Let i(l) = l**2 - 12*l. Let b(d) be the second derivative of 53*d + 0*d**3 + 0 + 1/4*d**4 + 0*d**2. Give b(i(h)).
3*h**4 - 72*h**3 + 432*h**2
Let v(d) = -2*d**2 - 3699525. Let a(t) = 2*t - 25. Give v(a(c)).
-8*c**2 + 200*c - 3700775
Let m(q) = -16109085*q**2. Let x(y) = -2*y**2. Give x(m(h)).
-519005239074450*h**4
Let z(m) = 11*m. Let u(o) = -21*o. Let k(w) = -4*u(w) - 7*z(w). Let b(f) = 3*f**2 - 18*f. Let g(l) = -l**2 - 3*l. Let x(q) = b(q) - 6*g(q). Determine x(k(d)).
441*d**2
Let s(k) = -2*k**2 + 4*k. Let n(m) = -2*m**2 - 39*m**2 + 82*m**2 - 49*m**2. What is n(s(h))?
-32*h**4 + 128*h**3 - 128*h**2
Let z(n) be the first derivative of -2374*n**3/3 - 179. Let h(a) = a. Give z(h(v)).
-2374*v**2
Let z(f) = 2*f. Let d(l) = -67718581*l**2. Determine z(d(j)).
-135437162*j**2
Let y(x) = 23*x. Let j(h) = 10*h**2 + 120*h - 8. Let w(s) = -10*s + 1. Let i(d) = -j(d) - 12*w(d). Give i(y(r)).
-5290*r**2 - 4
Let q(l) = 10*l**2 + 4*l + 10. Let k be q(-3). Let g(n) = -21*n - k + 88 - 18*n. Let i(o) = -2*o**2. Give g(i(f)).
78*f**2
Let v(f) = 2*f. Let t(k) = -12*k**2 - 20*k. Let z(i) be the second derivative of i**4/12 + i**3/3 + 43*i. Let s(j) = -4*t(j) - 40*z(j). Determine s(v(x)).
32*x**2
Let q be (-8)/6*(-57)/38 - 0. Let s(v) = -18*v**2 + 20*v**q - v**2. Let i(r) = 4*r**2 + r. What is i(s(p))?
4*p**4 + p**2
Let w(q) be the third derivative of 121*q**4/24 + 2*q**3/3 - 46*q**2 + 9. Let b(z) = -2*z. What is b(w(u))?
-242*u - 8
Let g(h) be the third derivative of 11*h**4/6 + h**3/2 - 1686*h**2. Let a(u) = 3*u**2. Calculate a(g(z)).
5808*z**2 + 792*z + 27
Let o(l) be the first derivative of -11*l**6/360 - 37*l**3 + 32. Let d(i) be the third derivative of o(i). Let p(f) = -6*f. Give d(p(q)).
-396*q**2
Let k(x) = -13*x**2 - 6508. Let o(v) = 3*v. What is k(o(f))?
-117*f**2 - 6508
Let z(w) = 15262*w**2. Let b(p) = -286*p**2 + 6*p. Calculate b(z(v)).
-66617592184*v**4 + 91572*v**2
Let w(n) = -7*n**2 + 2*n + 3. Let c(i) = -9*i**2 + i + 2. Let x(j) = 3*c(j) - 2*w(j). Let t(r) = -2027*r + 4065*r - 2036*r. Determine x(t(h)).
-52*h**2 - 2*h
Let w(p) = 3281*p**2 - 1636*p**2 - 1640*p**2. Let y(k) = -324*k. Determine y(w(j)).
-1620*j**2
Let h(t) = 472340*t. Let i(f) = -35*f. Calculate h(i(p)).
-16531900*p
Let x(w) = -8*w**2. Let r(d) = 146664*d. What is r(x(o))?
-1173312*o**2
Let h(g) = 2102*g**2 - 4200*g**2 + 2095*g**2. Let u be (-8)/(-3) - (-4)/12. Let y(m) = -m + 13*m + u*m. Determine y(h(q)).
-45*q**2
Let s(u) = -u**2 + 1. Let b(m) = 2. Let h(y) = b(y) - 2*s(y). Let l(v) be the third derivative of 7*v**4/6 - v**3/6 + 9779*v**2. Determine h(l(d)).
1568*d**2 - 112*d + 2
Let i(b) = 8*b. Let r(x) = -7*x + 16. Let k be r(-16). Let h(v) = 70*v + 70*v - k*v. Determine h(i(u)).
96*u
Let h(n) be the third derivative of -n**7/1260 + 11*n**4/6 - n**3/3 + 84*n**2. Let a(j) be the second derivative of h(j). Let m(r) = 174*r**2. Give m(a(l)).
696*l**4
Let l(k) = 2*k. Let p(o) = -5987 + 4*o + 5986 - 5*o. Let x(m) = -7*m**2 - 5*m - 2. Let d(j) = -5*p(j) + x(j). What is l(d(i))?
-14*i**2 + 6
Let p(c) = 79*c + 635. Let d be p(-8). Let b(t) be the first derivative of -1/3*t**d - 5 + 0*t + 0*t**2. Let a(s) = -s. Calculate a(b(z)).
z**2
Let n(p) = -4*p + 20. Let h(m) be the first derivative of 0*m + 201 + 1/3*m**3 + 0*m**2. Calculate n(h(w)).
-4*w**2 + 20
Let p(w) = -13815474*w. Let z(x) = 2*x. Give p(z(n)).
-27630948*n
Let b(j) = -2*j**2. Let f(o) = -1478782462*o. What is b(f(x))?
-4373595139837562888*x**2
Let m(w) be the first derivative of -w**3 - 11179. Let k(y) be the first derivative of -62*y**2 + 2. Calculate k(m(h)).
372*h**2
Let r(h) = 20*h + 12349. Let f(u) = u**2. Calculate r(f(j)).
20*j**2 + 12349
Let c(f) = 6*f. Let w(o) = 5*o. Let g be 1*(-1 + 6) - -4. Suppose 6*i = i - 15, g = -3*r + i. Let k(t) = r*c(t) + 5*w(t). Let a(j) = -15*j**2. Give k(a(u)).
-15*u**2
Let v(u) = -33*u - 11. Let x(s) = 405118*s. What is v(x(f))?
-13368894*f - 11
Let j(n) = -4*n**2 - 1012. Let o(w) = 7413*w. Calculate o(j(s)).
-29652*s**2 - 7501956
Let o(t) = 3*t**2 + 10. Let j(r) = -32*r**2 - 60. Let f(q) = j(q) + 6*o(q). Let w(c) = -c - 299. What is f(w(v))?
-14*v**2 - 8372*v - 1251614
Let k(p) = -1684*p**2. Let f(s) = -198 - 203 + 592 - 191 + 2*s**2. What is k(f(b))?
-6736*b**4
Let b(t) = 27*t. Suppose 0 = -5*c, -3*u + u + c = -4. Let l(i) = -8*i**2 + 7*i**2 + i**2 - 5*i**u. Calculate b(l(y)).
-135*y**2
Let k(v) = 916*v**2 + 24143*v - 24143*v. Let s(z) = z**2. Give s(k(j)).
839056*j**4
Let r(h) be the third derivative of -61*h**5/15 + 132*h**2. Let s(l) = l**2. Calculate s(r(i)).
59536*i**4
Let q(u) = 2*u**2. Let a(k) = -201477*k**2 - 1673*k - 18403. Let d(i) = -482*i**2 - 4*i - 44. Let r(f) = 8*a(f) - 3346*d(f). What is q(r(g))?
1827872*g**4
Let m(r) = -5*r - 2107302. Let i(w) = -4*w. Determine m(i(x)).
20*x - 2107302
Let s(q) = | {
"pile_set_name": "DM Mathematics"
} |
nearest to 2/3 in y, -0.5, 1?
1
Let v = -19 - -21. Let s be (4 + -1)*6/30. What is the closest to 0 in v, 1/6, s?
1/6
Let m = 0.1 - 0.2. Suppose 22 - 4 = 3*j + 4*s, -4*s = -4*j - 4. What is the nearest to m in -0.1, j, -5?
-0.1
Let t = 69 - 69.1. What is the closest to t in 0.3, -2, 0.1?
0.1
Let u = 14/3 + -4. Let p = 5.4 - 2.4. Which is the nearest to u? (a) p (b) 2 (c) -1/4
c
Let h = -105 - -124.3. Let b = 19 - h. Suppose z + 3*z = 16. What is the closest to 2 in b, z, 2/3?
2/3
Let g = 0.01 - 4.01. Let k = g + 4. Let t(y) = y**3 - 5*y**2 + y - 4. Let x be t(5). Which is the nearest to x? (a) k (b) 4 (c) -2/11
a
Suppose -p - 5*k = -k - 20, -p - 12 = -4*k. What is the closest to 0 in p, -0.5, 2?
-0.5
Let s = 175/6 + -57/2. What is the closest to s in 4/3, 2/3, 2?
2/3
Let u = 0.02 - 0.02. What is the closest to u in -5, 5/2, 0.3?
0.3
Let o = 0.75 - -0.05. Let d = o + -1.1. Let z = 0.05 - 0.45. Which is the closest to 0.1? (a) z (b) d (c) -1/4
c
Suppose 0 = -3*p + 12 - 3. What is the nearest to 1 in 0, -4, p?
0
Let u = 0.08 + -4.08. Let n = u + -1. Let o = 11 - 7. What is the closest to -0.1 in 3, n, o?
3
Let f(v) = 15*v**2 - v - 1. Let o be f(-1). Let x = o - 10. Let m = 1.1 + -1. What is the nearest to m in -4, x, -0.4?
-0.4
Let g(h) = h**3 + 6*h**2 + h + 4. Let s be g(-6). Which is the closest to s? (a) -2/15 (b) 2/11 (c) 0.1
a
Let o = 18/11 - 61/44. Let l = -7.3 - -7.4. Which is the nearest to o? (a) l (b) 3 (c) 1/4
c
Let z = 0.07 - -0.23. Let l = -1.07 + 1.27. Which is the closest to -0.1? (a) l (b) 2/9 (c) z
a
Let g = 1.6 + -1.5. Let n = -0.8 + 3.8. Let l = -2 + 2.5. Which is the nearest to g? (a) n (b) -4/3 (c) l
c
Let r be 70/(-60) - (-1)/(-2)*-1. Suppose 7*t = 3*t + 16. Let x be 0 + -1 - 6/t. Which is the nearest to r? (a) x (b) -4 (c) 0.3
c
Let m = 26.6 + -26.2. Let a = 0 + -0.2. What is the closest to -0.2 in m, 1, a?
a
Let n = -10/39 + 12/13. Which is the nearest to n? (a) 0 (b) 1/6 (c) 0.1
b
Let r = 0.3 + -0.5. Let n = -0.6 - r. Let z = 9 - 9. Which is the nearest to z? (a) 1/4 (b) -0.1 (c) n
b
Suppose 3*o - k - 6 = -0*k, k - 8 = -4*o. What is the nearest to -5/8 in -4, o, -0.4?
-0.4
Let m = -0.155 - -0.055. Suppose -4*n = 2*g - 10, n - 1 + 0 = g. Which is the nearest to m? (a) 5 (b) 0 (c) g
b
Let p = -184 - -186. What is the closest to -3 in -0.1, p, 3?
-0.1
Let m = -0.1 + 0.3. Let w = m + -0.3. Let v be 3/(-3) - (-17)/19. What is the closest to w in v, -2, 0.5?
v
Let t(m) = m + 1. Let x be t(2). Let c = 301/4 - 151/2. What is the nearest to x in c, 3/2, -3?
3/2
Let z = 3.8 + -4. Which is the nearest to -1/4? (a) z (b) 2/11 (c) -2
a
Let q = 3 - -2. Let k = 5 + -4. Which is the nearest to -1/4? (a) -0.3 (b) k (c) q
a
Let h = 6 + 3. Let q = h - 9. Which is the nearest to q? (a) -5 (b) 0 (c) 0.3
b
Let g = 0.7 - 0.4. Which is the closest to -1? (a) -4 (b) g (c) 0.2
c
Let j = -6 - -9. Let k be 0/(0 - -5 - 4). Which is the closest to 1/2? (a) -4/3 (b) j (c) k
c
Let t = 86 + -83. Which is the nearest to 0.1? (a) t (b) -5 (c) -4
a
Let l(k) = 3*k**2 - 12*k - 8. Let a be l(4). Let v = 1 - -4. What is the closest to -2/5 in v, a, 2/3?
2/3
Let g be (-7 + -1)*32/6. Let p = -43 - g. Which is the closest to -0.1? (a) p (b) 1 (c) 3/7
a
Let x = 4.08 + -0.08. Which is the closest to 0? (a) x (b) -0.9 (c) 0.3
c
Suppose -3*n = -2*n - 2. Suppose -6 = 3*o + 3*l, -3 - 1 = -5*o + n*l. Which is the closest to 0? (a) -0.2 (b) 5 (c) o
c
Let m = 4.9 + -5. Let r = -3.89 - 0.11. Which is the closest to m? (a) r (b) -2 (c) 0.4
c
Let b = -0.21 + 0.71. What is the nearest to 0.3 in b, -1, 3/4?
b
Let y = 32/5 + -34/5. Suppose 5*z + 9 = q, 2*z + 36 = -4*q + 28. Which is the closest to y? (a) 5 (b) -4 (c) z
c
Suppose 0 - 3 = 3*a. Let p be ((-7 - -1) + 2)*a. Let n be 4/(-6) - 2/6. What is the closest to 2/5 in n, p, 0.3?
0.3
Let t = 0.32 + 0.68. Let k = 6 - 1. What is the closest to 0 in k, t, -2/7?
-2/7
Let h = 1.8 + -3. Let m = h - -1. Let y = 7 - 8. Which is the closest to y? (a) m (b) 2/5 (c) -2
a
Let j = -7.15 - -0.15. Let v = j + 7.1. Let i = -1.2 - -0.2. Which is the closest to i? (a) 2/11 (b) -1/3 (c) v
b
Let d = 14.8 + -18. Let g = 2.97 + 0.03. Let m = d + g. Which is the nearest to 1/2? (a) -0.4 (b) 0.3 (c) m
b
Suppose u + 324 = 2*s, 4*s - 180 = 3*s - 4*u. Let x be (6*382/2)/7. Let p = x - s. Which is the nearest to p? (a) 2/9 (b) -2/5 (c) -5
b
Let i = -6.8 - -7.2. Which is the closest to 0.2? (a) 5 (b) -0.3 (c) i
c
Let u(w) = -w**3 - 4*w**2 + 5*w - 3. Let g be u(-5). What is the nearest to 1/3 in g, 4, -1?
-1
Let a = 0.1 - 0.4. Let h = -1.1 - -1. Let b = h - 0. What is the closest to b in -2, a, -5/4?
a
Let q = -89 - -88.9. Let d = -452/5 - -90. Which is the closest to q? (a) -4 (b) 1 (c) d
c
Let j = -9.8 - -9. Let k = j + -0.2. What is the nearest to 1 in -3, 4/3, k?
4/3
Let n = -3 + 3.1. Let g = 2 + 2. Let s = g + -4. What is the nearest to s in 0.3, n, 5?
n
Let y = -47/10 + -419/5. Let g = y - -87. What is the nearest to g in 5, 2, -1/5?
-1/5
Let n = 2.5 + -2. Let s = -0.008 + -0.092. What is the nearest to 1 in n, 4/3, s?
4/3
Let z = 27/8 - 173/56. Let n = 1 + -3. Let x = -2.1 - n. What is the nearest to x in 4, z, 1?
z
Let b = 24 + -18. Let a = 9 - b. What is the closest to -3 in -4, a, -0.3?
-4
Suppose 2*y + 3*p = -5, -2*y + 2 = -4*p - 0. What is the closest to -3/2 in -0.4, 4, y?
y
Let u = -0.096 - -0.046. What is the nearest to 2/7 in 3, 0, u?
0
Let u = 0.1 + 0. Suppose -l - 782 = -785. Which is the closest to -2/7? (a) u (b) l (c) 1/2
a
Let l be 1 + 103/50 + -3. Let u = l + -121/350. Which is the nearest to -1? (a) u (b) -2/9 (c) -1/3
c
Let t be (-3 - (-50)/24) + 3/12. Let w = -2.96 + 3. Let d = w + -0.34. Which is the nearest to t? (a) -4 (b) d (c) -1/3
c
Let a = -1/31 + -28/93. What is the closest to a in -0.1, -5, -4?
-0.1
Let m = -45 - -44.8. Which is the nearest to m? (a) 2 (b) -0.2 (c) -0.7
b
Let z = -1 + 1.1. Let i = -107 + 105. What is the closest to z in -0.2, 2/7, i?
2/7
Suppose -2*x - 5 = -3*m - 0*m, m - 2*x = -1. Let a be -2 + m/18*11. What is the closest to -0.1 in a, -5, 3/7?
a
Let q = -0.4 - -0.8. Let p be 18/14 + 6/(-6). What is the nearest to -2/3 in p, q, -1/6?
-1/6
Let s be (4/40)/(8/100*-1). What is the nearest to -5 in 2/5, s, -0.3?
s
Suppose 5*x - 2*z = 353, -2*x - 3*z = -2*z - 143. Let b = 211/3 - x. What is the nearest to b in 5, 1/2, -4?
1/2
Let v be ((-1)/(-4))/((9/12)/(-1)). Which is the closest to -0.2? (a) -5/4 (b) v (c) -1/6
c
Let r be (-2)/14 - 292/14. Let p = r - -106/5. Suppose 5*k + 21 = 2*q, -2*q + 4*k = -26 + 8. What is the nearest to -1/4 in q, p, -2/9?
-2/9
Let v be (3/99)/((-1)/6). Which is the closest to 2/7? (a) -0.2 (b) -5 (c) v
c
Suppose -27 = 3*y - 6*y - o, 0 = 5*y - 5*o - 65. Let v = -48/5 + y. Suppose -x + 1 = -0*x. Which is the nearest to 1? (a) x (b) v (c) 3
a
Suppose i = -5*r - 3, -r = -i + 3*r - 3. Let d be 16/12*i/(-10). Which is the nearest to 2/3? (a) 5/3 (b) d (c) -4
b
Let u = -4.3 - -4. Let n = 0 - -2/5. What is the nearest to n in 4/7, u, -0.5?
4/7
Let i(z) = z**3 + 4*z**2 - 4*z + 11. Let j be i(-5). Let g be 2/3 + -5 + j. Let y = -8 - -3. What is the closest to 1 in 5, y, g?
g
Let j = -29/105 + -2/35. Suppose -k = -5*k. Which is the closest to k? (a) j (b) 0.1 (c) 5
b
Let x = 129/44 - 38/11. Let d = x - -3/11. Let q = -13 - -13. Which is the nearest to q? (a) d (b) 5 (c) -0.4
a
Suppose 3 + 2 = i. Let g = -7 + 6.9. Which is the nearest to g? (a) 1 (b) -1 (c) i
b
Let w be -4*(7/(-2))/7. Which is the nearest to -2? (a) w (b) -2/3 (c) -1
c
Let n = 13 - 26. Let s = n + 12.7. Let k = 3/47 + -103/141. What is the closest to k in s, 0.4, 3?
s
Let d = 1 - -3. Suppose -2*b + 2 = -3*i - 6*b, 9 = -d*i + b. What is the nearest to -1 in i, -1/4, 0.3?
-1/4
Let r = 2.1 + -2. Let q(v) = -v - 7. Let u be q(-5). Let w be u/3 - 48/(-45). Which is the closest to -1? (a) w (b) -2 (c) r
b
Let o = -8 + 10. What is the closest to o in 3, -4, -3?
3
Suppose 4*p - 2*w = 26, -28 = -8*p + 3*p + w. What is the closest to 0.1 in p, 1, -2/3?
-2/3
Let h = 160 - 2082/13. Let m(o) = -o - 11. Let v be m(-12). Which is the closest to v? (a) 3/4 (b) 6/11 (c) h
a
Let p = 0.1 + 0. Let n(o) = -3*o + 2. Le | {
"pile_set_name": "DM Mathematics"
} |
r of 264494909?
False
Does 822 divide 276513239?
False
Does 148 divide 4830276?
True
Is 1817128 a multiple of 381?
False
Is 52704454 a multiple of 1114?
True
Is 474 a factor of 1239899?
False
Does 163 divide 412613835?
False
Is 589018 a multiple of 4?
False
Is 283757495 a multiple of 5?
True
Does 18 divide 7318422?
True
Is 60 a factor of 1325614634?
False
Is 23956816 a multiple of 52?
True
Is 7667325 a multiple of 15?
True
Does 52 divide 96443236?
False
Is 15 a factor of 116577247?
False
Is 29686883 even?
False
Is 6492091 a multiple of 707?
False
Does 74 divide 734139718?
True
Is 28 a factor of 56854476?
True
Does 28 divide 129127740?
True
Is 4420716586 a multiple of 5434?
True
Is 78 a factor of 108442939?
False
Is 13 a factor of 65081615?
False
Is 166 a factor of 76662950?
True
Does 55 divide 2473026787?
False
Is 17 a factor of 1156716?
False
Is 8299 a factor of 1736457863?
True
Does 807 divide 585004791?
True
Does 8 divide 58121376?
True
Is 3498 a factor of 33251988?
True
Does 122 divide 2182583294?
True
Is 29 a factor of 54541895?
True
Does 193 divide 2618535077?
False
Does 7 divide 808626621?
False
Is 317 a factor of 168872533?
False
Is 1218401386 a multiple of 116?
False
Does 1234 divide 3419414?
True
Does 15 divide 62123572?
False
Does 6 divide 447414285?
False
Does 239 divide 1312593703?
False
Is 30 a factor of 2488134?
False
Is 110 a factor of 127929427?
False
Is 564 a factor of 50813421?
False
Is 2525 a factor of 469582791?
False
Is 683 a factor of 55642316?
False
Is 1380 a factor of 2444514720?
False
Is 68 a factor of 1269777396?
True
Is 2225267765 a multiple of 581?
True
Is 57713721 a multiple of 90?
False
Is 36 a factor of 10500804?
True
Is 7658679 a multiple of 46?
False
Is 103760787 a multiple of 9?
False
Does 5 divide 30508105?
True
Is 3 a factor of 77926776?
True
Is 73350443 a multiple of 20?
False
Is 672 a factor of 35347872?
True
Does 8 divide 17170943?
False
Is 8554 a factor of 504001680?
True
Does 60 divide 11481089?
False
Is 2142006494 a multiple of 176?
False
Is 57189130 a multiple of 898?
True
Is 45595596 a multiple of 2148?
True
Does 1026 divide 35337492?
True
Is 86982834 a multiple of 47?
False
Is 75048875 a multiple of 16?
False
Does 3478 divide 82538256?
False
Is 39162186 a multiple of 34?
True
Is 1512 a factor of 64340136?
True
Is 2679 a factor of 1149384527?
False
Is 264578451 a multiple of 277?
False
Does 6 divide 747288?
True
Is 132453502 a multiple of 4979?
False
Does 3 divide 222129239?
False
Does 88 divide 20587651?
False
Is 211247680 a multiple of 64?
True
Does 1612 divide 13179210?
False
Does 9 divide 31700925?
True
Is 470866545 a multiple of 4496?
False
Does 25 divide 90492675?
True
Is 11 a factor of 7206540?
True
Is 4970722 a multiple of 45?
False
Is 110918366 a multiple of 871?
True
Is 35836351 a multiple of 278?
False
Does 56 divide 18399248?
True
Is 42299126 a multiple of 9?
False
Is 202026915 a multiple of 885?
True
Is 45 a factor of 6332085?
True
Is 14352 a factor of 34401744?
True
Does 215 divide 9817545?
True
Does 91 divide 135223202?
False
Is 9498998 a multiple of 287?
False
Is 54602334 a multiple of 9?
True
Does 177 divide 128184993?
True
Is 114 a factor of 1900811262?
True
Is 2303867656 a multiple of 887?
False
Is 107 a factor of 19656542?
True
Is 1215 a factor of 78233850?
True
Does 3375 divide 1952430?
False
Does 10 divide 66476850?
True
Does 1347 divide 102992961?
False
Is 1239440951 a multiple of 23?
True
Is 157 a factor of 1722250850?
False
Does 21 divide 26052703?
False
Does 33 divide 21449483?
False
Is 235382 a multiple of 322?
True
Is 42726830 a multiple of 1326?
False
Does 119 divide 144307611?
True
Is 4274 a factor of 705892928?
False
Is 256 a factor of 67721472?
True
Does 3 divide 115320269?
False
Is 239 a factor of 17757232?
False
Is 10 a factor of 39473833?
False
Does 9 divide 903288623?
False
Does 111 divide 348388041?
True
Does 40 divide 199362080?
True
Does 3228 divide 386409934?
False
Is 500462994 a multiple of 983?
True
Does 8210 divide 1957953640?
True
Is 69707992 a multiple of 292?
True
Is 11718949 a multiple of 1583?
True
Does 814 divide 79464408?
False
Does 1021 divide 128053987?
False
Is 123047109 a multiple of 1404?
False
Is 237 a factor of 450538896?
True
Is 15369109 a multiple of 502?
False
Is 175521066 a multiple of 7?
True
Does 4 divide 4458364?
True
Is 348323821 a multiple of 67?
True
Is 3318033 a multiple of 7?
False
Is 28606276 a multiple of 69?
False
Is 313 a factor of 680659837?
False
Does 93 divide 167292261?
False
Is 209725764 a multiple of 66?
False
Does 3 divide 4247179?
False
Does 6 divide 294246302?
False
Does 30 divide 3018692878?
False
Is 43 a factor of 9979582?
False
Is 43 a factor of 9235239?
True
Is 6292548 a multiple of 48?
False
Is 2993570851 a multiple of 85?
False
Does 1229 divide 2043827?
True
Does 65 divide 92990686?
False
Is 1224981988 a multiple of 62?
True
Does 43 divide 9526483?
False
Does 70 divide 947615610?
False
Does 8 divide 7383161?
False
Does 4 divide 260246?
False
Is 160 a factor of 631247680?
True
Is 545 a factor of 57131805?
True
Is 273 a factor of 743301701?
False
Does 761 divide 22985244?
True
Is 40217548 a multiple of 406?
True
Does 8 divide 8386161?
False
Does 4 divide 262450020?
True
Is 36686949 a multiple of 169?
False
Does 13 divide 6020948674?
True
Is 4109 a factor of 114576207?
False
Is 488675460 a multiple of 130?
True
Is 2 a factor of 647868?
True
Does 15 divide 78235771?
False
Is 7 a factor of 186554592?
True
Does 183 divide 1058207650?
False
Does 856 divide 99194992?
True
Does 82 divide 2526231041?
False
Does 291 divide 575013167?
False
Does 265 divide 612435381?
False
Does 108 divide 191169948?
False
Is 6739481758 a multiple of 17015?
False
Is 850315566 a multiple of 69?
True
Is 86 a factor of 761736056?
True
Does 998 divide 1451569927?
False
Is 18816867 a multiple of 798?
False
Does 108 divide 8624664?
True
Is 19312722 a multiple of 82?
True
Is 34195980 a multiple of 130?
True
Is 14 a factor of 860304026?
False
Is 913546 a multiple of 4?
False
Is 188132452 a multiple of 1748?
False
Does 482 divide 30732158?
False
Is 838796155 a multiple of 2228?
False
Is 18 a factor of 159659640?
True
Does 2 divide 162128800?
True
Does 57 divide 10460922?
False
Does 399 divide 3234294?
True
Does 4314 divide 519689461?
False
Does 352 divide 86032461?
False
Is 621914396 a multiple of 58?
True
Does 87 divide 98810511?
True
Is 1001 a factor of 986809950?
False
Is 148 a factor of 2057348?
True
Is 2637 a factor of 1403782486?
False
Is 22559851 a multiple of 170?
False
Is 81 a factor of 5115092?
False
Is 3951871815 a multiple of 220?
False
Does 20 divide 205499356?
False
Does 14 divide 22244388?
False
Is 606410904 a multiple of 8?
True
Is 17179698 a multiple of 1895?
False
Is 75 a factor of 624475350?
True
Is 1255 a factor of 103014398?
False
Is 6016073 a multiple of 304?
False
Does 63 divide 727396299?
True
Does 31 divide 542693571?
False
Does 76 divide 122533508?
True
Is 907 a factor of 134108814?
False
Is 5 a factor of 360299852?
False
Is 3286174340 a multiple of 10?
True
Does 316 divide 184322682?
False
Does 4816 divide 1125932640?
True
Is 185431819 a multiple of 38?
False
Does 726 divide 11917851?
False
Does 31 divide 33411769?
True
Is 60 a factor of 67392054?
False
Is 266 a factor of 6556900?
True
Does 26 divide 54102484?
False
Is 31435940 a multiple of 115?
True
Is 955 a factor of 35476433?
False
Is 319 a factor of 60301846?
True
Is 260211090 a multiple of 1375?
False
Does 5 divide 41018347?
False
Does 183 divide 33982917?
True
Does 75 divide 29635687?
False
Is 5641685 a multiple of 6?
False
Does 292 divide 37573192?
False
Is 9 a factor of 23624118?
True
Does 13 divide 18821504?
True
Is 86939268 a multiple of 156?
True
Is 904186201 a multiple of 218?
False
Is 2780902677 a multiple of 7?
True
Is 32459406 a multiple of 1832?
False
Is 66448210 a multiple of 4?
False
Is 6452758 a multiple of 86?
False
Is 41 a factor of 52470242?
True
Is 2363182640 a multiple of 2324?
True
Is 10 a factor of 5769044?
False
Is 54997898 a multiple of 48?
False
Is 745035928 a multiple of 2132?
True
Is 46651329 a multiple of 4?
False
Is 64 a factor of 93105138?
False
Is 934 a factor of 54109220?
False
Is 1522968303 a multiple of 104?
False
Does 3 divide 262 | {
"pile_set_name": "DM Mathematics"
} |
279 - -517. Suppose 0 = -6*d + z + 630. What are the prime factors of d?
571
Suppose 2*d + v = -2254, 3*v = 2*d + d + 3390. Let g = -435 - d. List the prime factors of g.
3, 7, 11
Let u(h) = 32*h**2 - 1. Suppose 5*w - 137 = 58. Let b = 41 - w. What are the prime factors of u(b)?
127
What are the prime factors of (-1240)/(-186)*3/(-8)*-23174?
5, 11587
Suppose 27836*u + 629010 = 27866*u. List the prime factors of u.
3, 29, 241
Let y = 197 + -217. What are the prime factors of -5 - 5/(-2)*(-1992)/y?
2, 61
Let h(u) = 44*u**2 + 113*u + 45*u**2 + 49*u**2 + 48*u**2 - 192*u**2. List the prime factors of h(13).
5, 7, 13
Suppose 2*a = -4*o + 16 + 4, 3*o - 5*a = 2. Suppose -20 = 2*f - o*f. Let v = f - -72. What are the prime factors of v?
2, 41
Let v = -35 + 40. Suppose 76 = 2*f - 4*p - 366, 3*p - 1040 = -v*f. What are the prime factors of f?
211
Let c be 122/(-14) + (-12)/42. Let h(r) = -r**2 - 16*r - 6. Let a be h(-15). List the prime factors of (39/c)/((-1)/a).
3, 13
Suppose 152*q + 984824 - 2475953 = 1953799. List the prime factors of q.
2, 2833
Let c(a) = -2 + 38*a + 8*a - 50*a + 31*a - 2*a**2. Let k = 7 - 2. List the prime factors of c(k).
83
Let o be 4 + 17 + -2 + -1. What are the prime factors of 3915/o*2/3?
5, 29
Let l(h) = -h**3 - 20*h**2 + 11*h - 213. Let g be l(-21). Let v(f) = -48*f**3 - 6*f - 16. List the prime factors of v(g).
2, 11, 59
Suppose -33*o + 23*o - 4050 = 0. Let a = 57 - o. List the prime factors of a.
2, 3, 7, 11
Let f(n) = -5*n - 24*n - 5 - 50*n - 11. List the prime factors of f(-4).
2, 3, 5
Suppose 0 = 5*y + 5*c + 7975, 0 = -5*y - 8*c + 5*c - 7977. Let p = 3170 + y. What are the prime factors of p?
2, 787
Let u(x) = 4*x**3 - 2*x**2 - 3*x + 6657. List the prime factors of u(0).
3, 7, 317
Let m = 44453 + -25551. What are the prime factors of m?
2, 13, 727
What are the prime factors of (2*14/4*-2)/((-40)/2360)?
2, 7, 59
Let u = 650 + -87. Let s = u + 44. List the prime factors of s.
607
Let z be 5/20*-2*-56. List the prime factors of ((-24)/z)/((-1)/70).
2, 3, 5
Let f = 378 - 1047. Let z = f + 1436. What are the prime factors of z?
13, 59
Suppose 0 = -r + a + 232, 0 = -3*r + r - 2*a + 472. Let n = 631 - r. List the prime factors of n.
397
Let g(i) = -i**2 - 14*i + 53. Let a be g(-16). What are the prime factors of 28/(128/a - 6)?
2, 3, 7
Let n(t) = 22904*t - 1943. What are the prime factors of n(3)?
23, 2903
Suppose 40*l + 3*l - 172 = 0. Suppose l*s + 25416 = 40*s. List the prime factors of s.
2, 353
Suppose 4*u + 3*k = -1928 + 117, 3*k = 2*u + 901. Let w = 762 + u. What are the prime factors of w?
2, 5, 31
Let x be 7/(-28)*3 + 19/4. List the prime factors of 92 + 0 + x + (0 - 1).
5, 19
Suppose -13*n - 24 = -5*n. List the prime factors of 8/36*n + 560/3.
2, 3, 31
Let l(c) = 88 + 4*c**2 - 38 - 45 - 2*c - c. Let h = 0 + 3. List the prime factors of l(h).
2
Let s(l) = -2*l**2 - l - 22. Let t be s(0). What are the prime factors of (-2532)/(-11) + 4/t?
2, 5, 23
Suppose 4*c + 13*q - 59463 = 8*q, -5*q = -4*c + 59473. What are the prime factors of c?
14867
Let i(v) = -16*v - 194. Let c be i(-13). Suppose -2490 = 9*z - c*z. What are the prime factors of z?
2, 3, 83
Let a(o) = -2142*o - 10840. List the prime factors of a(-35).
2, 5, 11, 53
Let s(l) = 581*l**2 + 29*l - 62. What are the prime factors of s(3)?
2, 37, 71
Suppose 887*j + 4*p = 891*j - 40644, 132147 = 13*j + 5*p. What are the prime factors of j?
2, 3, 7, 11
Let w be 11094/33 - 2/11 - -2. Suppose 4*x + w - 1866 = 0. What are the prime factors of x?
2, 191
Suppose 48*t + 4690 = -48*t + 110*t. List the prime factors of t.
5, 67
Suppose -2*b + 10489 = 5*m, 9*m - 6*m = 5*b + 6281. List the prime factors of m.
3, 233
What are the prime factors of ((-3468)/24)/(-17)*718?
17, 359
Suppose 1 + 5 = 3*y. Suppose -c + 2 = -1, 4*b + y*c = 6. Suppose b*j = 3*j, 0 = -5*a - 2*j + 10. List the prime factors of a.
2
Suppose 10*t = 4*t + 36. Suppose -t*i = -8*i + 960. Suppose 263 = -s + 4*s - 2*j, 5*s - i = -5*j. List the prime factors of s.
7, 13
List the prime factors of (-8 - (-14)/(546/325))*151773.
50591
Let s(l) = 421*l**2 - 58*l + 406. List the prime factors of s(12).
2, 97, 311
Suppose -9*n = 3*l - 4*n - 936, -15 = 5*n. Let w = -204 + l. What are the prime factors of w?
113
Suppose 3*d - 381 = 4*z + 263, -5*d + 1120 = 5*z. Let k = 52 + d. List the prime factors of k.
2, 17
Let p(r) be the first derivative of 17*r**3/3 + 12*r**2 + 3*r - 40. What are the prime factors of p(-7)?
2, 167
Suppose 2*x - 123 = 849. Suppose -x = -37*k + 35*k. What are the prime factors of k?
3
Let r = 20284 + -9970. What are the prime factors of r?
2, 3, 191
Let a be 3 + -2 + 1*(-2063)/(-1). Suppose 0 = -4*r - 4*r + a. List the prime factors of r.
2, 3, 43
Let z(l) = 8*l**2 - 187*l - 681. List the prime factors of z(-51).
2, 3, 103
Let v(z) = 4*z + 49. Let w be v(-7). Let o be (-1)/((w/402)/(-7)). Suppose s - o + 19 = 0. List the prime factors of s.
5, 23
Suppose 3*i - 39382 = -4*j, 5*j + 32700 = 2*i + 6407. List the prime factors of i.
2, 3, 11, 199
Let a(q) = 197*q - 15. Let v be a(-6). Let g = -821 - v. What are the prime factors of g?
2, 47
Let s(j) = -5*j - 45. Let f be s(-10). Suppose 14*k - 1242 = f*k. What are the prime factors of k?
2, 3, 23
Suppose 26*k - 7*k = 10583. List the prime factors of k.
557
Let o be (-2)/4*(1 + -1) + 21. Suppose 6*q = -q + o. Suppose 0*g + g = 2*x - 25, -q*x + g + 37 = 0. What are the prime factors of x?
2, 3
Let r be (-2)/4*-2 - -2. Let n(b) be the second derivative of b**5/10 - b**4/4 + b**3/6 + 9*b**2/2 + 53*b. What are the prime factors of n(r)?
3, 13
Let o(j) = -j**3 + 5*j**2 + 4*j + 8. Let h be o(5). Suppose 21*c - 58163 = -h*c. List the prime factors of c.
1187
Let q be (-4 + 28/8)*(-6 + 0). Suppose -2*r + 185 = q*g, -47 = -g + 2*r + 12. Let o = g - 1. What are the prime factors of o?
2, 3, 5
Suppose 8*c - 4 = 3*c + 4*w, 8 = 3*c - w. Suppose -c*h - 23 + 80 = d, -5*d - 2*h = -285. Let n = d + -39. List the prime factors of n.
2, 3
Let s(h) = -2*h**2 - 1878 + 1878 + 14*h - h**3. What are the prime factors of s(-7)?
3, 7
Let i(a) = -5*a**2 - a - 1. Let h be i(-1). Let l(w) = -w - 6. Let x be l(h). List the prime factors of (-13 - x)*((-64)/12 + 1).
2, 13
Let a(h) = -h**3 + 41*h**2 - 76*h - 55. Let x be a(39). Suppose 0 = 15*f - x*f + 6120. List the prime factors of f.
3, 5, 17
Suppose 3*a + 59 - 11 = 3*r, 4*r = 2*a + 54. Let g(n) = n**3 - 8*n**2 - n + 11. List the prime factors of g(r).
3, 11
Let f = -959 - -961. Suppose -4*x = -4*b - 2*x + 6828, -5*b + 8533 = -f*x. What are the prime factors of b?
5, 11, 31
Let x = 17253 - 8951. List the prime factors of x.
2, 7, 593
Let n be (-144318)/(-335)*(0 + 5). Let w = -1192 + n. List the prime factors of w.
2, 13, 37
Let t(y) = 58*y**2 + 3*y + 4. Let d(k) = 3*k**2 + 32*k + 18. Let i be d(-10). List the prime factors of t(i).
2, 5, 23
Let a(y) = y**3 - 1 - 18*y - 17 + 20*y**2 + 42*y. What are the prime factors of a(-17)?
3, 7
Let m(r) = r**3 - 49*r**2 - 89*r - 174. What are the prime factors of m(52)?
2, 5, 331
Let r(x) = x + 1. Let v be r(-7). Let g(y) be the second derivative of -11*y**3/6 - 9*y**2/2 - y - 2. What are the prime factors of g(v)?
3, 19
Let c(l) = -l**3 + 5*l**2 + 5*l + 7. Let g be c(7). Let y = 99 - g. What are the prime factors of y?
5, 31
What are the prime factors of (12/(-18))/((-1590809)/(-530277) - 3)?
16069
Let m(y) = 261*y + 73. Let p be m(24). Let j = 2011 - p. What are the prime factors of (j/(-28))/(6/4)?
103
Suppose -3048 = 91*t - 94*t. Suppose 28*s - t - 1896 = 0. What are the prime factors of s?
2, 13
Suppose -n = -19 - 54. Suppose 12*a = 18*a + 210. Let v = n + a. List the prime factors of v.
2, 19
Suppose 0 = -22*n + 26*n - 940. Let t = 473 - n. What are the prime factors of t?
2, 7, 17
Suppose 3*g - 14549 = -8*f + 4*f, 4*f = -4*g + 14552. What are the prime factors of f?
5, 727
Let d(q) = 8*q**3 - 30*q**2 - 2*q. Let p be d(4). Let j(i) = -i**3 + 24*i**2 + 19*i - 30. List the prime factors of j(p).
2, 3, 71
Let o = -11775 - -25169. What are the prime factors of o?
2, 37, 181
Let f be 177 + -5*(-16)/20. Let b = 366 - f. Let u = b + -60. What are the prime factors of u?
5
Suppose d - y + 1 = 0, -d + 4*y - 2 = 4*d. What are the prime factors of (-14)/6 + d + (-17685)/(-81)?
2, 109
List the prime fac | {
"pile_set_name": "DM Mathematics"
} |
ement from {y: 3, c: 9, q: 3, h: 2, e: 1}. What is prob of picking 1 h and 1 e?
2/153
Three letters picked without replacement from {p: 1, a: 1, j: 2, q: 1}. Give prob of picking 2 j and 1 a.
1/10
Calculate prob of picking 1 w and 1 c when two letters picked without replacement from {z: 1, w: 4, y: 2, x: 2, c: 3, r: 2}.
12/91
What is prob of picking 1 k and 1 d when two letters picked without replacement from ghhddkdghgdgdghg?
1/24
Calculate prob of picking 1 h, 1 j, and 1 u when three letters picked without replacement from {u: 2, j: 1, i: 1, h: 1}.
1/5
What is prob of picking 1 g and 2 w when three letters picked without replacement from sgwlglsiglwgglgglig?
8/969
What is prob of picking 1 c and 1 y when two letters picked without replacement from {y: 1, c: 4, x: 2, k: 2}?
1/9
Two letters picked without replacement from aauauaau. What is prob of picking 2 u?
3/28
What is prob of picking 1 k and 3 h when four letters picked without replacement from {h: 3, k: 1, m: 2, v: 1}?
1/35
Four letters picked without replacement from {p: 4, g: 6, d: 9}. What is prob of picking 1 g, 1 d, and 2 p?
27/323
Two letters picked without replacement from jdkdnkk. What is prob of picking 1 d and 1 n?
2/21
Calculate prob of picking 1 s and 1 o when two letters picked without replacement from zszsdossdszdtz.
5/91
Three letters picked without replacement from {r: 7, b: 2, l: 2, f: 8}. What is prob of picking 3 r?
35/969
Three letters picked without replacement from {f: 1, o: 2, v: 1, d: 8, b: 5}. Give prob of picking 1 v, 1 o, and 1 d.
2/85
Two letters picked without replacement from zzzaazza. What is prob of picking 1 a and 1 z?
15/28
Two letters picked without replacement from {q: 1, d: 1, e: 1, i: 1, c: 1}. Give prob of picking 1 i and 1 q.
1/10
Four letters picked without replacement from {h: 4, f: 6, k: 2, r: 4, o: 1}. What is prob of picking 1 k, 2 r, and 1 f?
18/595
Calculate prob of picking 2 s and 1 i when three letters picked without replacement from skssskikissiksss.
27/140
What is prob of picking 1 g, 2 h, and 1 e when four letters picked without replacement from {e: 2, g: 1, h: 7}?
1/5
Two letters picked without replacement from {m: 6, g: 1, n: 3, f: 2}. Give prob of picking 1 g and 1 f.
1/33
Two letters picked without replacement from {r: 2, n: 1, q: 1}. Give prob of picking 1 q and 1 n.
1/6
Calculate prob of picking 1 r, 2 j, and 1 g when four letters picked without replacement from pjjrppprprppcrgj.
3/455
What is prob of picking 1 l and 1 t when two letters picked without replacement from {t: 2, j: 3, l: 2, h: 1, x: 4}?
2/33
Three letters picked without replacement from {t: 1, o: 5, f: 2, v: 6, i: 3}. What is prob of picking 1 i, 1 v, and 1 o?
9/68
What is prob of picking 1 l and 1 g when two letters picked without replacement from {a: 1, u: 5, l: 3, g: 1, d: 2}?
1/22
What is prob of picking 1 h, 1 s, and 1 u when three letters picked without replacement from dqqhdsuduu?
1/40
Three letters picked without replacement from ikiikikiki. Give prob of picking 3 k.
1/30
Four letters picked without replacement from {w: 9}. Give prob of picking 4 w.
1
Two letters picked without replacement from {p: 12, u: 6}. What is prob of picking 1 u and 1 p?
8/17
Three letters picked without replacement from gnlggggllln. What is prob of picking 1 n and 2 g?
4/33
Two letters picked without replacement from cfcfffff. What is prob of picking 1 c and 1 f?
3/7
Three letters picked without replacement from {r: 4, q: 7, u: 5}. What is prob of picking 1 r and 2 u?
1/14
What is prob of picking 1 i and 2 u when three letters picked without replacement from {q: 10, u: 2, i: 3, j: 1}?
3/560
Four letters picked without replacement from uycuycuuy. Give prob of picking 1 c, 2 u, and 1 y.
2/7
Three letters picked without replacement from {m: 3, f: 1, n: 1, h: 1, r: 1, x: 5}. What is prob of picking 1 n and 2 f?
0
What is prob of picking 1 k and 2 r when three letters picked without replacement from {k: 1, u: 4, i: 2, r: 2, v: 1}?
1/120
What is prob of picking 2 u when two letters picked without replacement from {u: 2, g: 1, h: 2, t: 1}?
1/15
What is prob of picking 4 c when four letters picked without replacement from {c: 6}?
1
Four letters picked without replacement from {w: 4, h: 2, l: 5}. What is prob of picking 1 l and 3 w?
2/33
Calculate prob of picking 3 p when three letters picked without replacement from {f: 2, a: 3, q: 2, p: 6, n: 1, x: 1}.
4/91
What is prob of picking 1 v and 1 l when two letters picked without replacement from {w: 1, e: 3, v: 6, l: 1, j: 4, s: 5}?
3/95
What is prob of picking 2 q when two letters picked without replacement from qqqpvvv?
1/7
What is prob of picking 3 f and 1 k when four letters picked without replacement from fffffffkfffff?
4/13
Four letters picked without replacement from llijllljjjlljljjj. What is prob of picking 3 l and 1 i?
2/85
Four letters picked without replacement from iilhtctttii. What is prob of picking 3 i and 1 c?
2/165
What is prob of picking 3 k and 1 q when four letters picked without replacement from kkqqdqdqqkkk?
10/99
Calculate prob of picking 2 y when two letters picked without replacement from {n: 3, l: 3, y: 2}.
1/28
Four letters picked without replacement from {a: 12, c: 3}. What is prob of picking 1 c and 3 a?
44/91
Four letters picked without replacement from zhzhhhhzzzhzzhzz. Give prob of picking 4 z.
9/130
Two letters picked without replacement from qddaddkdlkdaddq. What is prob of picking 1 k and 1 q?
4/105
Two letters picked without replacement from {k: 2, m: 3, d: 1, p: 3, u: 1, j: 8}. What is prob of picking 1 d and 1 j?
8/153
What is prob of picking 1 w, 1 e, and 1 v when three letters picked without replacement from {w: 1, u: 2, q: 2, o: 3, v: 3, e: 1}?
3/220
Two letters picked without replacement from ustukksn. What is prob of picking 1 n and 1 s?
1/14
Calculate prob of picking 1 v and 1 h when two letters picked without replacement from hovvhhooovo.
9/55
Four letters picked without replacement from mdddmmm. Give prob of picking 2 m and 2 d.
18/35
Four letters picked without replacement from {e: 2, u: 7, r: 2, z: 1, f: 1, g: 1}. Give prob of picking 1 f, 1 u, 1 z, and 1 e.
2/143
What is prob of picking 1 o, 2 x, and 1 i when four letters picked without replacement from {x: 2, w: 1, m: 2, f: 3, i: 2, o: 4}?
8/1001
Calculate prob of picking 1 z, 1 b, and 1 p when three letters picked without replacement from gbggfppppqggzbp.
2/91
What is prob of picking 2 v and 1 o when three letters picked without replacement from ooooooooovovooooooo?
1/57
What is prob of picking 1 t and 1 s when two letters picked without replacement from uuuuuuuuytssu?
1/39
Calculate prob of picking 2 e and 1 t when three letters picked without replacement from eteeeeiiti.
1/6
What is prob of picking 1 k and 3 y when four letters picked without replacement from {k: 5, y: 14}?
455/969
Four letters picked without replacement from kennkmfkfkf. Give prob of picking 2 f, 1 m, and 1 n.
1/55
Calculate prob of picking 1 s, 1 h, and 1 o when three letters picked without replacement from noswh.
1/10
What is prob of picking 1 t, 1 o, and 1 y when three letters picked without replacement from tkyoothhopttht?
15/364
Four letters picked without replacement from {j: 9, b: 3, q: 3, d: 2, z: 1, x: 2}. Give prob of picking 2 b, 1 q, and 1 d.
6/1615
What is prob of picking 1 l, 1 h, and 2 f when four letters picked without replacement from lfffhhnhffnfnfhh?
3/52
What is prob of picking 2 b when two letters picked without replacement from {a: 2, b: 11}?
55/78
Calculate prob of picking 2 w and 2 t when four letters picked without replacement from {x: 1, g: 3, t: 7, w: 3}.
9/143
What is prob of picking 1 x, 1 b, and 1 f when three letters picked without replacement from xsubffbt?
1/14
Three letters picked without replacement from {e: 2, v: 5, s: 1, x: 7, h: 4, g: 1}. Give prob of picking 2 e and 1 h.
1/285
Calculate prob of picking 2 b when two letters picked without replacement from {b: 2, j: 2}.
1/6
What is prob of picking 2 n and 1 i when three letters picked without replacement from {i: 3, n: 2}?
3/10
Four letters picked without replacement from hhhwctwhhthhtecwt. Give prob of picking 2 w, 1 e, and 1 h.
3/340
Calculate prob of picking 1 n, 1 f, and 2 e when | {
"pile_set_name": "DM Mathematics"
} |
ement from {y: 3, n: 9, s: 2, t: 1, k: 1, x: 3}. Give prob of sequence nssk.
1/5168
Two letters picked without replacement from {f: 4, c: 2, m: 5, l: 2, d: 1, n: 1}. Give prob of sequence nd.
1/210
Three letters picked without replacement from {r: 3, e: 1, u: 3}. Give prob of sequence uur.
3/35
Two letters picked without replacement from {l: 1, y: 2, e: 2, i: 1, x: 2, c: 4}. Give prob of sequence ci.
1/33
Three letters picked without replacement from ooososooooossosod. What is prob of sequence oos?
55/408
What is prob of sequence umvu when four letters picked without replacement from mwwujvjwmjjwwuw?
1/8190
What is prob of sequence zjy when three letters picked without replacement from ztytyj?
1/60
Calculate prob of sequence iyw when three letters picked without replacement from ikigyypw.
1/84
Three letters picked without replacement from mmmmmmhmhhhmhm. Give prob of sequence mhm.
15/91
Calculate prob of sequence pk when two letters picked without replacement from ipk.
1/6
Two letters picked without replacement from {v: 1, t: 1, x: 1, b: 1, k: 8}. Give prob of sequence xt.
1/132
What is prob of sequence qok when three letters picked without replacement from {x: 2, q: 4, s: 1, o: 2, k: 2, v: 1}?
2/165
Two letters picked without replacement from {g: 5, n: 8}. Give prob of sequence ng.
10/39
Four letters picked without replacement from kwwkwwkwkw. What is prob of sequence wwww?
1/14
Four letters picked without replacement from xxjxxxxxrrlxxxx. Give prob of sequence lxjr.
11/16380
Four letters picked without replacement from ttfftfttthtqftft. What is prob of sequence ffhf?
1/728
What is prob of sequence ccwq when four letters picked without replacement from cccwqtqqtwtww?
3/715
Calculate prob of sequence zh when two letters picked without replacement from iiihiyzzizziieyezi.
5/306
What is prob of sequence qi when two letters picked without replacement from {i: 2, q: 2}?
1/3
Two letters picked without replacement from ppbssbbbb. What is prob of sequence sp?
1/18
Two letters picked without replacement from erkqerkqqeqqqqk. Give prob of sequence qq.
1/5
Three letters picked without replacement from hyhhyyyhyyyhh. What is prob of sequence hhh?
10/143
Three letters picked without replacement from {y: 5, n: 7}. Give prob of sequence nyy.
7/66
Four letters picked without replacement from {a: 16, k: 4}. Give prob of sequence akka.
8/323
Three letters picked without replacement from {p: 2, s: 10, y: 4}. What is prob of sequence pys?
1/42
Two letters picked without replacement from {h: 1, s: 3, d: 5, p: 1, z: 2, x: 1}. Give prob of sequence xs.
1/52
Three letters picked without replacement from ccccccc. What is prob of sequence ccc?
1
Calculate prob of sequence vuy when three letters picked without replacement from {y: 1, v: 2, j: 1, u: 1}.
1/30
Calculate prob of sequence sqq when three letters picked without replacement from senkrqsnq.
1/126
Three letters picked without replacement from qataxaatazxxa. Give prob of sequence zqa.
1/286
Four letters picked without replacement from {p: 13, x: 3, e: 3}. What is prob of sequence eeex?
1/5168
Three letters picked without replacement from {c: 1, t: 1, z: 1, a: 2}. Give prob of sequence cta.
1/30
Calculate prob of sequence gg when two letters picked without replacement from htghtttgghtgtgtt.
1/12
Three letters picked without replacement from {f: 2, k: 1, r: 1, j: 1, h: 2}. What is prob of sequence jkf?
1/105
What is prob of sequence mjk when three letters picked without replacement from {m: 10, j: 1, k: 7}?
35/2448
Calculate prob of sequence tst when three letters picked without replacement from {s: 2, t: 5}.
4/21
Four letters picked without replacement from {b: 1, a: 12}. What is prob of sequence aaab?
1/13
Three letters picked without replacement from poyooppyo. What is prob of sequence yoy?
1/63
Three letters picked without replacement from wjyuyu. Give prob of sequence juw.
1/60
Two letters picked without replacement from mwwwwwwwwwwfb. What is prob of sequence mb?
1/156
Two letters picked without replacement from {r: 1, m: 1, u: 1}. What is prob of sequence ur?
1/6
What is prob of sequence irrr when four letters picked without replacement from {i: 5, m: 1, r: 4}?
1/42
Two letters picked without replacement from {x: 1, l: 1, q: 1, i: 2}. What is prob of sequence xi?
1/10
Two letters picked without replacement from {g: 3, h: 3, y: 5}. What is prob of sequence hh?
3/55
Four letters picked without replacement from cwxeeeegeexeeegcehg. What is prob of sequence hcwc?
1/46512
Calculate prob of sequence zzfz when four letters picked without replacement from ctzthzfztxft.
1/990
Four letters picked without replacement from ohqbffbo. What is prob of sequence bhfb?
1/420
Three letters picked without replacement from nnanaasnnan. What is prob of sequence nna?
4/33
What is prob of sequence mz when two letters picked without replacement from aazakamaafaaamaz?
1/60
Three letters picked without replacement from splssszsssssssii. What is prob of sequence zil?
1/1680
Four letters picked without replacement from uuqaquauauuuquqau. Give prob of sequence qquu.
9/595
Four letters picked without replacement from ylllylllkyppk. Give prob of sequence plpl.
1/286
Calculate prob of sequence hy when two letters picked without replacement from jbarabjjyhar.
1/132
What is prob of sequence xxwo when four letters picked without replacement from {w: 8, x: 4, o: 1, y: 1, g: 2}?
1/455
Calculate prob of sequence aw when two letters picked without replacement from wpdaplppd.
1/72
Three letters picked without replacement from {y: 4, c: 1, p: 3}. Give prob of sequence ypy.
3/28
Three letters picked without replacement from {f: 6, x: 4}. What is prob of sequence xff?
1/6
What is prob of sequence php when three letters picked without replacement from ppphpphhph?
1/6
Four letters picked without replacement from {x: 11, r: 2, k: 2}. What is prob of sequence rkxk?
11/8190
Calculate prob of sequence lli when three letters picked without replacement from hruirgrrgggulrhg.
0
Calculate prob of sequence bbm when three letters picked without replacement from mbbbm.
1/5
Four letters picked without replacement from {w: 2, l: 2, c: 1, q: 1, o: 1}. Give prob of sequence locw.
1/210
Calculate prob of sequence hllh when four letters picked without replacement from llllhlllllllhlllhlh.
35/1292
Four letters picked without replacement from {x: 4, a: 4, z: 3, s: 1, q: 2}. Give prob of sequence qqsx.
1/3003
What is prob of sequence csi when three letters picked without replacement from {h: 2, s: 3, c: 1, i: 1}?
1/70
Two letters picked without replacement from xnnqxxnana. Give prob of sequence xx.
1/15
Four letters picked without replacement from {w: 3, k: 2, s: 2, h: 2, e: 2, b: 4}. Give prob of sequence wbwk.
2/1365
What is prob of sequence gggw when four letters picked without replacement from {t: 2, g: 5, w: 3, l: 3}?
3/286
Calculate prob of sequence xm when two letters picked without replacement from {b: 1, y: 1, m: 1, x: 2}.
1/10
Calculate prob of sequence dad when three letters picked without replacement from {a: 1, z: 1, t: 2, d: 4, e: 1}.
1/42
Four letters picked without replacement from {c: 2, b: 4, h: 4, z: 4}. What is prob of sequence zzhb?
8/1001
Calculate prob of sequence betb when four letters picked without replacement from {t: 1, d: 1, b: 5, e: 10}.
5/1428
Three letters picked without replacement from bqbbqbbbb. Give prob of sequence bqq.
1/36
Two letters picked without replacement from {t: 6, z: 3, v: 1, a: 2}. Give prob of sequence vv.
0
Calculate prob of sequence ct when two letters picked without replacement from tddddccccidddtct.
1/16
What is prob of sequence ll when two letters picked without replacement from lulull?
2/5
Calculate prob of sequence vn when two letters picked without replacement from {v: 1, i: 3, n: 1}.
1/20
Calculate prob of sequence urr when three letters picked without replacement from nurrrur.
4/35
Four letters picked without replacement from {p: 7, o: 5, y: 2}. Give prob of sequence yopy.
5/1716
Calculate prob of sequence dsld when four letters picked without replacement from pppppdpysspppdljpy.
1/18360
Four letters picked without replacement from {f: 3, d: 2}. Give prob of sequence dfdf.
1/10
Two letters picked without repl | {
"pile_set_name": "DM Mathematics"
} |
-3*j = -5*m + 16518. Calculate the remainder when m is divided by 57.
54
Let k = -48 - -120. Suppose 373 = 13*i + 61. Let z = 49 - i. Calculate the remainder when k is divided by z.
22
Let z be 466/(-29) - ((-6)/87 + 0). Let p(g) = 3*g - 19. Let w(u) = u - 1. Let b(c) = -p(c) + 2*w(c). What is the remainder when b(z) is divided by 9?
6
Suppose 0 = -21*g - 9*g + 300. Suppose 197 = g*m + 7. Calculate the remainder when 53 is divided by m.
15
Let t(g) = -17*g + 56. Let y be t(3). Suppose 2*n - 3*j - 69 = 0, -y*j = 3*n - j - 95. Calculate the remainder when n is divided by 1.
0
Let a(i) = -77*i + 7171. Calculate the remainder when a(67) is divided by 9.
5
Let z(t) = -40*t + 1. Let x be z(1). What is the remainder when (2/(-6))/(1/x) is divided by 0/(10 + 4) - 1*(-14)/2?
6
Suppose -20*g + 23*g - 90 = 0. Suppose -19*q - 55 = -g*q. Suppose -s + 4 = -4*o + 34, 5*o - s = 38. Calculate the remainder when o is divided by q.
3
Suppose 27530 = 26*g - 317230. What is the remainder when g is divided by 89?
88
Let p(n) = -24 + 0*n + 11 - 4*n + 5*n. Let k be p(5). Calculate the remainder when (-3 + (-78)/(-8))/((-2)/k) is divided by 12.
3
Let a(m) = 3*m**2 + 94*m + 138. Calculate the remainder when a(-32) is divided by 6.
4
Let z(m) = -m**3 + 34*m**2 + 35*m. Let u be z(35). Suppose -5*g + 34 + 1 = u. Calculate the remainder when 16 is divided by g.
2
Suppose 2*r - 5*d - 94 = 0, -r + 40 = -2*d + 3*d. Suppose r = 11*o - 321. Calculate the remainder when 96 is divided by o.
30
Let d(i) = 318*i - 2373. What is the remainder when 1196 is divided by d(8)?
170
Let d be 34 + (-4 - 3 - -1). Suppose -175 = -d*q + 3*q. Let c(y) = -y**3 + 3*y**2 + 4*y + 4. Calculate the remainder when q is divided by c(4).
3
Suppose 6*c - 162 - 144 = 0. Calculate the remainder when -9 - -12 - (-91 - -1) is divided by c.
42
Suppose 3*u - 2*k = 111, 20*u + 5*k = 16*u + 171. What is the remainder when u is divided by 14?
11
Suppose -138*c + 38243 = -199807. Calculate the remainder when c is divided by 12.
9
Let t(x) = -10 + 1 + 3*x + 5 + 3*x**2 - x. Suppose 3*s + 3 = -2*n - n, 0 = -n - 5. What is the remainder when t(s) is divided by 19?
14
Suppose -5*w - 328 = -3*s, 2*s - 8*w + 6*w - 216 = 0. What is the remainder when s is divided by 25?
6
Suppose 19*g - 91*g = 60*g - 20988. Calculate the remainder when g is divided by 82.
77
Let d = 680 + -639. Suppose l - 1 = 16. Calculate the remainder when d is divided by l.
7
Let w = -123 + 125. Suppose 303 = 5*n - 4*x, -4*x = -w*n + 19 + 95. What is the remainder when n is divided by 4?
3
Let h = -7124 + 7179. Let g = -54 - -82. Calculate the remainder when h is divided by g.
27
Let p = -108 + 166. Suppose 3*v = 4*k + 82, 2*v = 2*k - k + p. Calculate the remainder when v is divided by 21.
9
Let z(x) = -5*x**3 + 401*x**2 + 332*x - 163. Calculate the remainder when z(81) is divided by 40.
5
Let h(f) = 27*f - 870. Calculate the remainder when h(57) is divided by 220.
9
Let o(u) = 5*u + 55. Let l(k) = 4*k + 58. Let y(d) = 3*l(d) - 4*o(d). What is the remainder when 42 is divided by y(-10)?
8
Let s(r) = -9*r + 24. Let h be s(0). Let o = 140 + -22. What is the remainder when o is divided by (25/10)/(-2 - (-50)/h)?
28
Let w(n) = -301*n - 4476. What is the remainder when 353 is divided by w(-15)?
2
Suppose -2*x - 47 - 22 = -r, -3*r - x = -207. Let l = -51 + r. Calculate the remainder when 120 is divided by l.
12
Suppose 0 = -26*v - 48*v + 2220. Calculate the remainder when 488 is divided by v.
8
Suppose 3*u = -0*z - 5*z, -z = u. Suppose 2*w - 136 - 122 = u. Let r(i) = 3*i + 54. What is the remainder when w is divided by r(-7)?
30
Let m = 900 - 471. What is the remainder when m is divided by (16 + (-25 - -6))/((-2)/18)?
24
Suppose -38*y = -204 - 100. Suppose 157 = y*g - 43. Calculate the remainder when 218 is divided by g.
18
Let g(o) = -52*o**3 + o**2 - 11*o + 16. Calculate the remainder when g(-6) is divided by 88.
86
Suppose u + m + 6 = 0, 5*u + 31 = -2*m + 1. Let c(d) be the third derivative of -7*d**4/24 + 6*d**2 - 1. Calculate the remainder when c(u) is divided by 11.
9
Let k be (15/(-10))/(1/2). Let p be (-3)/(k*(-5)/(-10)). What is the remainder when 23 is divided by p/5 - (-28)/5?
5
Suppose 100*s = 98*s + 18. Suppose -210 = s*x - 3*x. What is the remainder when 102 is divided by (-7)/x + (-4)/(-5) + 25?
24
Let y(m) = 13*m**3 - 4*m**2 - 17*m**3 + 5*m - m - 2 + 5*m**3. Let p be y(4). Suppose -p = -5*u + 3*u. What is the remainder when 10 is divided by u?
3
Let w(k) = 10*k**3 - 11*k**2 - 11*k + 65. Calculate the remainder when w(10) is divided by 41.
40
Let s be (3 - 0)*(-150)/(-9). Let q = -15 + s. Suppose -171*d + 2808 = -144*d. Calculate the remainder when d is divided by q.
34
Calculate the remainder when (2 - 5/(30/507))*160/(-3) is divided by 9.
8
Let y be (25/(-50))/((-1)/(-2)). Let n be 7 + y + 3 + 2. Let t(f) = -f**2 + 19*f - 33. What is the remainder when t(n) is divided by 31?
24
Suppose -4*a + 0*a - 24 = 0. Let o = a - -11. Let j = -5866 - -5883. What is the remainder when j is divided by o?
2
Let o(m) = -125*m**3 + 51*m**2 - 1. Calculate the remainder when o(-1) is divided by 104.
71
What is the remainder when 351 is divided by 2/14*(-112)/(-32)*(-602)/(-7)?
7
Let l(f) = -2*f**2 - 4*f + 2. Let d be l(0). Suppose d*w - 4*k - 34 = 0, 0*w - 9 = -2*w - k. Calculate the remainder when 40 is divided by w.
5
Let c = 22 + -9. Suppose 82*w = 8390 + 26706. What is the remainder when w is divided by c?
12
Let v(h) = -11*h**2 - 45*h + 14. Calculate the remainder when 214 is divided by v(-4).
16
Suppose m + 10 = v + 2*v, 4*v = m + 14. Suppose -2*w + 5*w - 207 = 0. Suppose w = 5*k + 3*f - 45, f = -m. Calculate the remainder when 44 is divided by k.
20
Let p(c) = c**3 + 5*c**2 - 4*c - 5. Let n = -75041 - -75114. Calculate the remainder when n is divided by p(-4).
19
Let m = 447876 - 447456. Suppose -3*k + k + 192 = 4*j, -5*j + 237 = k. Calculate the remainder when m is divided by j.
44
What is the remainder when 58/(((-660)/(-195))/22 - 0/(-2)) is divided by (-3*65)/(-3) + -1?
57
Let g be 122 - (-8)/(-40)*10. Calculate the remainder when 52 is divided by g/10*(-4)/(-6).
4
Suppose -5*t = -4*t - 3*y - 161, -3*t = -y - 523. Suppose -73*o + 2510 = -994. What is the remainder when t is divided by o?
32
Let u be (-3736)/(-10) + ((-4)/(-5))/2. Suppose 4*p - 5*v + 233 = -138, -4*p = -2*v + u. What is the remainder when 100 is divided by (-2 - p/(-4))*6/(-9)?
15
What is the remainder when ((-16)/1)/(2012/(-1687062)) is divided by 189?
186
Let b(a) = 15*a**2 + 260*a - 175. Calculate the remainder when b(-19) is divided by 23.
1
Let p(b) = 4 + 19 - 19*b + 74. Calculate the remainder when 34 is divided by p(5).
0
Let z be ((-14)/(-8))/(3/12). Suppose -5*a - 76 = -z*a. What is the remainder when a is divided by (25 - 35)/((-5)/11)?
16
Let m = 158 - 146. Let f be 10*11*(-1)/(-1). Suppose 5*b = -5*n + b + 170, 2*b = 4*n - f. What is the remainder when n is divided by m?
6
Suppose -4*y - k - 5 = 0, -3*y = -4*k + 8*k + 7. What is the remainder when 31 is divided by y - (2 - (0 + 19))?
15
Let j be 16/10*(-13 - -43). Suppose 0 = -3*z + j. Calculate the remainder when 46 is divided by z.
14
Let i = 53 - 42. Let t be (i - 15) + 23*-1. Calculate the remainder when 45 is divided by 0/5 - (3 + t).
21
Calculate the remainder when (1752/(-22))/((-1098)/8052) is divided by 255.
74
Suppose -439 - 1139 = -5*w + 2*w. Calculate the remainder when w is divided by 22.
20
Suppose -9*o - 18 + 864 = 0. Suppose 5*y - 115 = 4*v + 122, -2*y + 2*v = -o. Calculate the remainder when y is divided by 4.
1
Suppose 11 = -6*p - 19. What is the remainder when (-666)/(-9) + (p - 0) is divided by 9?
6
Let h(p) = -p**2 + 3*p - 13. Let k be h(0). Let a(t) = 3*t**2 + 27*t - 42. Calculate the remainder when a(k) is divided by 23.
22
Let s be -34 - (4 + -10 + 3). Let v = 66 + s. Suppose -39 = 10*q - 15*q - 3*w, -2*q - w + 15 = 0. What is the remainder when v is divided by q?
5
Let a(j) be the third derivative of -j**4/24 + 5*j**3/3 - 59*j**2. Let f = -2 + -4. Calculate the remainder when a(f) is divided by 9.
7
Suppose 4*k - 561 = -13*k. Let z(d) = 128*d + 9. Calculate the remainder when z(3) is divided by k.
30
Suppose 0 = -g + f + 59, -22*g = -19*g - 5*f - 179. Suppose -3*i = 46 - 4. Let v = i - -34. | {
"pile_set_name": "DM Mathematics"
} |
)*(-x**2 + 2*x**2 + 0*x**2) in the form a*x**3 + k*x**2 + o + w*x and give a.
-5
Rearrange (y + 4*y - 4*y)*(-1 + 2 + 1)*(1 + 3 - 2)*(1 + 2 + 1) to g*y + m and give g.
16
Express 5*w - 96 - 5*w - 3*w**2 + 99 in the form c + j*w + x*w**2 and give c.
3
Rearrange (n - 3*n + 3*n)*(-2 - 2*n + 2) + n**2 - 3*n**2 + 0*n**2 - 5*n**2 - 11*n**2 + 2*n**2 to t*n + i*n**2 + j and give i.
-18
Rearrange 2*t + 2 + t**4 + 5*t**3 - 4*t**3 + t to the form n + i*t + s*t**2 + q*t**4 + y*t**3 and give i.
3
Rearrange -6*v - 54*v + 7*v to the form k*v + q and give k.
-53
Express -3*q**4 + 43*q**2 + 5*q**3 - 5*q**3 + 2 - 41*q**2 as m*q**2 + i*q**3 + c + t*q**4 + l*q and give c.
2
Rearrange 29*c**3 + 2 - 31*c**3 - 3 - 5*c**4 + 2*c**4 - 2*c to t*c + y + m*c**3 + k*c**2 + j*c**4 and give m.
-2
Rearrange 2*n**4 - 511*n**3 - 3*n**2 + 2*n**2 + 512*n**3 + 2*n + 1 + 0 to the form t*n**4 + s*n + c*n**2 + r*n**3 + d and give t.
2
Express -2*f + 4*f + f**2 + 6*f**2 in the form a*f + y + d*f**2 and give a.
2
Express ((-1 + 2 - 2)*(-2*h**2 + 4*h**2 - 4*h**2) + (-h - h + 3*h)*(-2*h + 3*h - 2*h))*(6*h - 2*h - 2*h) in the form y*h**3 + l*h + q*h**2 + t and give y.
2
Express -1 + 5*f**2 - 2 + 3 in the form x*f + d + a*f**2 and give a.
5
Rearrange -5*p + 5*p - p + (1 + 1 - 3)*(-2 + 2 - 2*p) + 13*p + 11*p - 6*p to u + c*p and give c.
19
Express 10 - 55*s + 13 - 23 as d + x*s and give x.
-55
Rearrange -l**3 - l + 108*l**2 - 103*l**2 - l**3 to the form z*l + s + v*l**3 + p*l**2 and give p.
5
Express 1 + 0 - n**2 + 1 + (2*n + 13*n - 4*n)*(n - n + n) in the form j*n**2 + s + d*n and give j.
10
Express -27*p**4 + 18*p**4 + 3 - 2 + 10*p**4 - 17*p**2 in the form m + h*p**3 + b*p**2 + j*p**4 + n*p and give b.
-17
Rearrange -4*u**3 - 3 + 10*u - 10*u to the form q*u**3 + y*u**2 + n + w*u and give n.
-3
Rearrange 0*q**3 + 0*q**3 + 8*q**3 + q**4 + (q**2 + 0*q**2 - 2*q**2)*(-2*q**2 - 2*q**2 + 3*q**2) to the form g*q**4 + m*q**3 + o + h*q + i*q**2 and give m.
8
Rearrange (0 + 2*n + 0)*(192*n + n**2 + 2 - 192*n) to t + j*n**2 + s*n + b*n**3 and give b.
2
Rearrange (d**2 + d**2 - d**2)*(-1 - 1 + 1) - 5*d - 4*d**2 + 5*d - 3*d**2 - 4*d**2 + 4*d**2 to the form k*d**2 + a*d + z and give k.
-8
Express (-35 + 35 + 37*z**2)*(-2*z + 0 + 0) in the form p*z + r*z**3 + f + h*z**2 and give r.
-74
Express -3*l**2 + 0*l**2 - 2*l**2 - l**2 + 0 + 0 + (-4*l - 2*l**2 + 4*l)*(0 + 5 - 3) - 4 - l**2 + 4 + 0*l**2 - 3*l**2 - 3*l**2 as q*l + k*l**2 + j and give k.
-17
Express (2*d + 2 - 2)*(6 - 2 + 4)*(2*d - 3*d + 2*d) as k*d + u + s*d**2 and give s.
16
Express -419*g + 5 + 3*g**3 + 419*g in the form m*g**3 + l*g**2 + i + q*g and give m.
3
Express -3*q + 4*q - 2*q + (-q - 3*q + 3*q)*(-5 - 1 - 5) + 0*q - 3*q + q + (1 - 1 - 1)*(2*q - 2 + 2) - 4*q + 3*q + 2*q as p*q + r and give p.
7
Express (n**4 + n**4 - 4*n**4)*(-1 + 1 + 1) + (-1 + 0 + 2)*(-8 - 7*n**4 + 8) in the form l*n**2 + x*n**3 + i*n**4 + t*n + z and give i.
-9
Rearrange (18 - 46 - 29)*(-d - 3*d + 2*d)*(-d**2 + 0*d**2 - d**2) to m + z*d**3 + q*d + k*d**2 and give z.
-228
Rearrange 15*g**4 + 2*g**2 - g**3 + 4*g**4 + 4 - 4 to the form t + v*g**4 + q*g**3 + l*g**2 + k*g and give q.
-1
Express -28*v**3 - v**2 + 14*v**3 + 4*v**2 + 4*v**3 - v**3 - 2*v**3 + (v - 4*v + v)*(-2*v**2 - v**2 + 4*v**2) as z*v + j*v**2 + m + d*v**3 and give j.
3
Rearrange -5*l**3 - 6 - l + l**3 + 4*l**3 + 2*l**2 + 2*l**4 to x*l**3 + i*l**4 + z + b*l + k*l**2 and give i.
2
Rearrange -9 - 6 - y + 32*y**2 + 15 to t*y + i*y**2 + n and give t.
-1
Express 3*t**4 - t - 5*t**3 + 5*t**4 + 4*t**3 in the form z + b*t + p*t**2 + a*t**4 + w*t**3 and give b.
-1
Rearrange -21*x**2 + 44*x**2 - 2*x**3 + 0*x**3 - 20*x**2 to a + n*x**2 + w*x**3 + j*x and give n.
3
Rearrange 21*o - o**3 - 4*o + 0*o**3 - 2*o to the form f*o + g + p*o**2 + b*o**3 and give b.
-1
Express 14 - 6*y - 2*y**3 + 4*y + 3*y in the form l*y + q*y**3 + i*y**2 + h and give h.
14
Express (-y**2 + 3*y**2 + 0*y**2)*(1 + 1 - 6) as v*y + u + l*y**2 and give l.
-8
Express -48*p + 48*p - 6*p**2 in the form x*p + l*p**2 + i and give i.
0
Express (4*x - 2*x - 3*x)*(-7*x + 13*x - 8*x) in the form o + z*x + w*x**2 and give w.
2
Rearrange -8*w**3 + 3 + 3*w**3 + w**2 + w**2 to the form z*w**3 + i + s*w + d*w**2 and give i.
3
Rearrange 0*j**2 + 0*j**2 - 17*j**3 + 36 - 35 to z + f*j + l*j**3 + o*j**2 and give f.
0
Rearrange 11 - 11 + 13*b**2 to x + u*b + y*b**2 and give y.
13
Express 2*q**2 + q + 2*q**4 + 3*q**2 + 5*q - 4*q**2 as w*q**3 + x + s*q**2 + h*q + y*q**4 and give y.
2
Express 26*d**2 + 0*d - d - 7*d**2 + (1 + 0 + 1)*(2*d**2 - d**2 - 2*d**2) - d**2 + 1 - 1 in the form m*d + i*d**2 + x and give i.
16
Rearrange -94*y**2 - 132*y + 132*y to g + b*y**2 + c*y and give b.
-94
Rearrange -9*r**2 + 16*r**2 + 19*r**2 to c*r + h + t*r**2 and give t.
26
Rearrange (-6 - 2 + 3)*(-5*y + y + 3*y)*(-2*y - 3*y + 2*y) to x + o*y**2 + n*y and give o.
-15
Express (2*n**2 - n**3 - 2*n**2)*(15 - 38*n - 28*n + 69*n) in the form o + t*n**3 + f*n**4 + k*n**2 + s*n and give f.
-3
Express 20*g - 18 + 18 + 2 - 2 - g + (-g + 0*g + 3*g)*(-2 - 3 + 4) + (2*g - g - 4*g)*(-1 + 0 + 0) in the form i + j*g and give j.
20
Express -2*w**3 - 19*w + w**2 + 22*w - w**3 in the form s*w**2 + u*w**3 + p + i*w and give i.
3
Express -7 - 1 - 19*k**4 + 7 + 2*k**3 - k**3 in the form l*k**2 + x*k**4 + y*k**3 + p + a*k and give x.
-19
Rearrange -27*o + 11*o + o to the form n*o + q and give n.
-15
Express -17*x + 3*x - 2*x + 13*x + 13 in the form q*x + g and give g.
13
Rearrange (-2 + 5 - 1)*(-b + 4*b**2 + 2838 - 2838) to the form u*b + p*b**2 + h and give u.
-2
Express (-1 + 2*n - 20 + 4)*(6*n - 2*n + n) in the form o + i*n**2 + x*n and give i.
10
Express -o**3 - 16*o + 0*o**3 - o**3 in the form v*o**2 + a*o**3 + g*o + h and give g.
-16
Rearrange (-74*z - 3 + 73*z - 3)*(-5*z**2 + 2*z**2 + z**2) to the form l*z + a*z**2 + f + h*z**3 and give a.
12
Rearrange 0 + z**4 + 0 + (-3*z**3 + 4*z**3 + 3*z**3)*(-3*z + 0 + 0) + 0*z**4 - 3*z**4 + z**4 to the form j*z**3 + h*z**4 + f*z**2 + a*z + b and give h.
-13
Rearrange (1 + o - 1)*(-4 + 11 - 28) to y + j*o and give j.
-21
Express -60*h - 17 + 3*h**3 - 3 + 61*h - h**3 as c*h + f*h**3 + j + q*h**2 and give f.
2
Express 5*w**3 + 4*w + 7*w**3 - 2*w**4 + 1 - 2 - 14*w**3 in the form u + a*w**2 + q*w**4 + f*w**3 + v*w and give v.
4
Express (3*j + 13 - 13)*(5*j**3 - 4*j**3 - 2*j**3) in the form t*j**3 + i*j**2 + k*j + p*j**4 + v and give p.
-3
Rearrange (0 - 1 + 3)*(1 - 1 + 2*t) + (-9 - 14 + 12)*(t - 3*t + 4*t) to the form a*t + k and give a.
-18
Rearrange x**3 + 28*x - 2*x**4 + 1 - 29*x + 1 to the form l*x + i*x**4 + v + n*x**2 + d*x**3 and give i.
-2
Express -2*u**3 - 91*u**2 - 1 + 91*u**2 + 2*u in the form k + f*u**2 + v*u**3 + z*u and give v.
-2
Express -147*l**2 + 33*l**4 + 147*l**2 + (-3 + 3 - 3*l**2)*(2 - l**2 - 2) as w*l**3 + p + o*l + t*l**2 + r*l**4 and give r.
36
Express 2*o**2 + 0*o**2 - 5*o**2 + (-3*o + 5*o - 4*o)*(4*o - 2*o + 0*o) as g*o + y*o**2 + r and give y.
-7
Express -2*n**2 + 2*n**2 - n**2 + (27*n**2 - 5*n**2 + 104*n**2)*(0 + 3 - 1) in the form w + o*n**2 + v*n and give o.
251
Express 0 + 3*n - 20*n**3 - 2 - n**2 - 19*n**3 + 35*n**3 as k*n + o + d*n**2 + a*n**3 and give o.
-2
Express 16*y**2 - 2*y + 2*y + 0*y as d*y + v + m*y**2 and give m.
16
Express 12*t**3 + 2*t**3 - t**2 - 6*t**3 + t as s + c*t + z*t**3 + w*t**2 and give w.
-1
Rearrange (2 - 2 - 2*u**2)*(59 + 38 - 21) to z*u**2 + d + s*u and give z.
-152
Rearrange 810 - 810 + 6*o**3 + 3*o - 2*o**2 to the form i*o + d*o**3 + n + t*o**2 and give d.
6
Rearrange (-u**2 - 4*u + 4*u)*(2 + 1 - 2) + 0*u - 2*u**2 - u**2 + 2*u to f*u + w + n*u**2 and give f.
2
Express 2 - 4 - 1 + 0*f**2 + 2*f**2 + f**3 as p + d*f**3 + w*f**2 + k*f and give p.
-3
Rearrange -l - l**4 + l**2 + 3*l**3 - 5*l - 4*l**3 + 1 to o + k*l**4 + q*l + z*l**2 + g*l**3 and give g.
-1
Express o + 12*o + 12*o as t + h*o and give h.
25
Rearrange 3 + 5*x**2 - 3 + (2 + 2*x - 2)*(-2*x + 4*x + 0*x) to the form q + w*x**2 + p*x and give w.
9
Express -1 - 2*o**2 - 509*o + 2*o**4 + 0 + 509*o + 4*o**3 as k*o**3 + s + g*o + l*o**4 + m*o**2 and give l.
2
Express (5 - 2 + 1)*(3*b**2 - 5*b**2 - 2*b**2 + (-1 + 3 - 1)*(0*b**2 - 5*b**2 + 2*b**2)) as s*b + a + k*b**2 and give k.
-28
Rearrange -24 + 90*m**2 - 2*m + 2*m - 91*m**2 to the form s*m + l + n*m**2 an | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in -174*h**2 + 8*h**3 - 1320*h + 1320*h - 7*h**3.
h**3 - 174*h**2
Collect the terms in 4*b + 49 - 7*b - 31 - 24.
-3*b - 6
Collect the terms in -28*t + 81*t + 10*t - 21*t + 124*t.
166*t
Collect the terms in 2*x**2 + x**2 - 3*x**2 - 13*x**2 + 16*x.
-13*x**2 + 16*x
Collect the terms in 3137*u - 708*u + 604*u + 3322*u.
6355*u
Collect the terms in -597*j + 20*j + 581*j.
4*j
Collect the terms in 862*y**2 - 2*y**3 + 769*y**2 - 1631*y**2.
-2*y**3
Collect the terms in 1341*s**3 - 626*s**3 - 666*s**3.
49*s**3
Collect the terms in -7 - 6 + 1 + 8 + 58*j**2.
58*j**2 - 4
Collect the terms in 200*j + 197*j - 574*j + 170*j.
-7*j
Collect the terms in 1 - 1 + 25*u**3 - 33*u**3 + 0.
-8*u**3
Collect the terms in 2 + 9709*f**2 - 10312*f**2 - 2.
-603*f**2
Collect the terms in -2 - 156*r**2 + 149*r**2 + 2.
-7*r**2
Collect the terms in -26560 - 5*p + 26560.
-5*p
Collect the terms in -2*r**2 + 739392758 - 739392758.
-2*r**2
Collect the terms in 34*v**3 + 10*v - 5*v**2 + 12*v + 0*v.
34*v**3 - 5*v**2 + 22*v
Collect the terms in 245*o + 6*o**2 - 245*o - 2*o**2 - 6*o**2.
-2*o**2
Collect the terms in -1475*f**3 + 782*f**3 + 701*f**3.
8*f**3
Collect the terms in 1791*l - 1150*l + 433*l + 2165*l.
3239*l
Collect the terms in 44*m + 104*m + 347*m - 82*m.
413*m
Collect the terms in -3*j + 2*j + 1634*j**2 + j.
1634*j**2
Collect the terms in -7*i - 577 - 5305 + 3*i + i.
-3*i - 5882
Collect the terms in 17*i**2 + 11*i**2 + 20*i**2 + 25*i**2 - 21 - 56*i**2.
17*i**2 - 21
Collect the terms in 200*f + 466*f - 132*f.
534*f
Collect the terms in 15*u**2 - 12*u**2 + 8*u**2 - 2*u**2 + 9*u**2.
18*u**2
Collect the terms in 11*h - 2*h - 344*h**2 + 5*h - 2.
-344*h**2 + 14*h - 2
Collect the terms in 12*d**2 - 46*d**3 + 11*d**3 + 0*d**2 + 7 + 2*d.
-35*d**3 + 12*d**2 + 2*d + 7
Collect the terms in 22*x**3 - 9397*x + 9397*x.
22*x**3
Collect the terms in -6695*n**3 + 3317*n**3 + 3342*n**3.
-36*n**3
Collect the terms in 5 + 3173*m**2 - 1 - 4.
3173*m**2
Collect the terms in 2 + 52279*m**3 - 52284*m**3 - 2.
-5*m**3
Collect the terms in 98 - 98 - 11914*s + 11923*s.
9*s
Collect the terms in 2157*p**3 - 1052*p**3 - 1083*p**3.
22*p**3
Collect the terms in -4*x - 17 - 20 - 13 - 16 + 60.
-4*x - 6
Collect the terms in -13*y**3 + 256*y**2 - 21*y**2 + 12*y**3.
-y**3 + 235*y**2
Collect the terms in -8*l - 266 + 7*l + 266.
-l
Collect the terms in 825*d**3 - 5300*d + 5300*d.
825*d**3
Collect the terms in 236 - 462 + 102*z**3 + 224.
102*z**3 - 2
Collect the terms in 3*h - 76621*h**2 + 38308*h**2 + 38314*h**2 - 3*h.
h**2
Collect the terms in -1 + 19 - 22 + 2*o + 3 + 17.
2*o + 16
Collect the terms in -51 + 51 - 14428*r + 14434*r.
6*r
Collect the terms in -2*u**2 + 0*u**2 - 21*u**2 + 36*u**2 - 12*u**2.
u**2
Collect the terms in -348*x - 962*x + 387*x.
-923*x
Collect the terms in 8066 - 34*r**2 - 8066.
-34*r**2
Collect the terms in 0*g + 2 + 0*g + 55*g**3 + 741*g**3.
796*g**3 + 2
Collect the terms in 223*c + 6 + 15 - 33 + 13.
223*c + 1
Collect the terms in -24 + 200*f**2 + 24.
200*f**2
Collect the terms in -181*p - 434 + 124*p + 433.
-57*p - 1
Collect the terms in -293*g**3 - 3 + 2031*g**3 + 3.
1738*g**3
Collect the terms in -719*q**3 - 241*q**3 + 931*q**3.
-29*q**3
Collect the terms in w**2 + 4*w**2 - 1730*w - 4*w**2 - 5*w**2 + 1.
-4*w**2 - 1730*w + 1
Collect the terms in 10*j + 0 - 16*j - 1 + 4.
-6*j + 3
Collect the terms in 4*n - n - 3*n + 1065019113*n**2 - 1065019114*n**2.
-n**2
Collect the terms in -473*b - 472*b - 479*b + 1426*b - 23.
2*b - 23
Collect the terms in -7332*o - 16911*o - 4 + 4.
-24243*o
Collect the terms in 2698*h**2 - 1346*h**2 - 1349*h**2 + 13*h + 3*h.
3*h**2 + 16*h
Collect the terms in 3061*k**2 + 1 - 3 + 0 + 2.
3061*k**2
Collect the terms in -1352*w**3 + 27*w - 972*w**3 - 27*w.
-2324*w**3
Collect the terms in 57*u + 12*u - 52*u + 20*u.
37*u
Collect the terms in 10*t + 17*t + 13*t + 5*t - 6*t.
39*t
Collect the terms in -131*i**2 - 53*i**2 - 17*i**3 + 184*i**2.
-17*i**3
Collect the terms in 713*x - 713*x - 6348931*x**2 + 6348932*x**2.
x**2
Collect the terms in -115*h + 222*h - 6 - 149*h + 3.
-42*h - 3
Collect the terms in 1083*k**3 + 22*k**3 + 3*k**2 + 554*k**3 - 3*k**2.
1659*k**3
Collect the terms in 27*a**2 - 24*a**2 + 49*a**2 + 2.
52*a**2 + 2
Collect the terms in -8*n + 11*n - 10*n - n - 4*n.
-12*n
Collect the terms in -274555 - 568*p + 274555.
-568*p
Collect the terms in 7751*f**3 + 7746*f**3 - 15517*f**3.
-20*f**3
Collect the terms in -12*v + 6*v + 5*v + 5*v - 2 + 13*v.
17*v - 2
Collect the terms in 3*z**3 - 50*z**2 - 40*z**2 + 129*z**2 - 39*z**2.
3*z**3
Collect the terms in -6*t - 32*t + 283*t.
245*t
Collect the terms in -16 + 16 - 16509*v.
-16509*v
Collect the terms in -906*m**2 - 920*m**2 + 1852*m**2.
26*m**2
Collect the terms in -7*y - 1313 + 3814 + 2*y - 1189 - 1312.
-5*y
Collect the terms in -5*o + 6 + 5*o + 10*o - 9.
10*o - 3
Collect the terms in -1514*f + 2968*f - 2*f**3 - 1495*f.
-2*f**3 - 41*f
Collect the terms in -42 + 43 + 1138*d - 3 + 2.
1138*d
Collect the terms in -16*q**2 + 12*q**2 + 6*q**2 + 46 - 43.
2*q**2 + 3
Collect the terms in -3*r - 5*r - r + 11*r + 31*r**2 - 295*r**2.
-264*r**2 + 2*r
Collect the terms in 92720*y**3 - 33 + 17 + 16.
92720*y**3
Collect the terms in 2276*w**2 - 1 - 5106*w**2 - 5285*w**2.
-8115*w**2 - 1
Collect the terms in 24*l - 19*l + 32*l - 5*l - 1.
32*l - 1
Collect the terms in 160*q - 15*q + 4*q + 91*q + 2*q**2.
2*q**2 + 240*q
Collect the terms in 2613*y - 1305*y - 1305*y.
3*y
Collect the terms in -97*g + 169*g - 1 - 161*g.
-89*g - 1
Collect the terms in -t**2 + 4924 - 1639 - 1644 - 1641.
-t**2
Collect the terms in 18*b**3 + 432 + 428 + 430 + 419 - 1709.
18*b**3
Collect the terms in -11431680*j**2 + 290*j**3 + 11431680*j**2.
290*j**3
Collect the terms in -2582 + 2*d**3 + 2582.
2*d**3
Collect the terms in -17 + 1 - 160*a + 83*a + 12 + 84*a.
7*a - 4
Collect the terms in -115238*o**2 + 41*o**3 + 230482*o**2 - 115244*o**2.
41*o**3
Collect the terms in 0*u**2 - 1698*u**3 - u**2 + u**2.
-1698*u**3
Collect the terms in 23*l**2 - 144*l**2 + 2*l**3 - 32*l**2.
2*l**3 - 153*l**2
Collect the terms in 1359*k**2 - 315*k**2 + 820*k**2.
1864*k**2
Collect the terms in 94 + 27*a + 20*a + 10*a**2 - 47*a.
10*a**2 + 94
Collect the terms in -6 + 3 + 28959*z**3 + 4545*z**3 + 1.
33504*z**3 - 2
Collect the terms in -116 + 584*j + 12 + 103.
584*j - 1
Collect the terms in 23 - 2*p - 2*p + 62*p.
58*p + 23
Collect the terms in 3*l - 1335667 + 667834 + 667833.
3*l
Collect the terms in -1594*a**2 + 16*a**3 + 24 - 6 + 1594*a**2.
16*a**3 + 18
Collect the terms in 61*r**3 + 55*r**3 + 66*r**3 + 65*r**3 - 246*r**3.
r**3
Collect the terms in -68 - 547*d**2 + 25 + 43.
-547*d**2
Collect the terms in 10066 - 2519 - 2520 - 2515 + m - 2512.
m
Collect the terms in -265*t**3 - 960*t**3 - 4*t**3.
-1229*t**3
Collect the terms in -25*r + 11*r + 213*r**2 - 210*r**2.
3*r**2 - 14*r
Collect the terms in -172 + 578 - 170 - 236 - 3*b**3.
-3*b**3
Collect the terms in 0 + 5 - 1 - 221*g + 240*g.
19*g + 4
Collect the terms in 1034*u**2 + 983*u**2 - 2020*u**2.
-3*u**2
Collect the terms in -2*x**2 + 3*x**2 + 213*x**3 - x**2 - 212*x**3.
x**3
Collect the terms in -69 + 67 - 11169*x**2 + 11168*x**2.
-x**2 - 2
Collect the terms in 2960 - 2*y**2 - 8882 + 2957 + 4*y**2 + 2965.
2*y**2
Collect the terms in -6*m - 8*m - 25*m - 14*m - 9*m.
-62*m
Collect the terms in 379*a**3 + 97*a**3 - 205*a**3 + 51*a**3.
322*a**3
Collect the terms in 213*l - 6*l + 250*l + 2*l**3 - 1.
2*l**3 + 457*l - 1
Collect the terms in 42*c**3 - 1022*c + 1022*c.
42*c**3
Collect the terms in 16 + 1189*s - 1 + 18 - 1188*s.
s + 33
Collect the terms in -38 + 22*w**2 - 8*w**2 - 16.
14*w**2 - 54
Collect the terms in 89995*h - 4*h**2 + 2*h**2 - 89995*h.
-2*h**2
Collect the terms in 0 + 45*v + 0 + 14*v - 66*v.
-7*v
Collect the terms in 126*j**2 + 2*j + 133*j**2 - 2*j.
259*j**2
Collect the terms in -25*y - 42*y + 67*y - 128*y**2.
-128*y**2
Collect the terms in 60*p**2 - 11*p**2 - 13*p**2 + 67*p**2.
103*p**2
Collect the terms in -4226*c + 2055*c + 2174*c.
3*c
Collect the terms in -1028*q**3 - 947*q**3 + 1967*q**3.
-8*q**3
Collect the terms in 522*j - 9450 + 9450 - 546*j.
-24*j
Collect the terms in 11*v**3 - 111*v**3 - 539*v**3.
-639*v**3
Collect the terms in -61*i**3 + 13 - 32 + 19.
-61*i**3
Collect the terms in -118*s - 2 + 5 - 497*s | {
"pile_set_name": "DM Mathematics"
} |
+ 59 + 79 + (-1 - 1 + 4)*(2 - 1 - 4) - 1 - 2 - 4)*(0 + 6 + p + 0*p) to the form v*p + n and give n.
-414
Express (30356*g**2 + 23876*g**2 + 31589*g**2 - 4092*g**2)*(1 - 1 + 2) as o*g + m*g**2 + s and give m.
163458
Express (5 + 1 - 2)*(19*z - 11*z - 90*z)*(-14*z + 2 + 11*z - 4) in the form a + t*z + o*z**2 and give t.
656
Rearrange -1220*h - 1251*h - 655*h to the form r*h + l and give r.
-3126
Rearrange -52*n**3 + 108*n**3 - 58*n**3 + 1 - 9*n**2 - 9*n**4 - 2*n to z*n**4 + k*n**2 + r*n + b + t*n**3 and give k.
-9
Rearrange 3538*f**2 - 986*f**2 - 693*f**2 - 1081*f**2 - 2*f + f**3 to j*f**2 + h + q*f + n*f**3 and give q.
-2
Express 13*p**4 - 8 + 10 - 14*p**4 - p - 284*p**3 as u*p**3 + q*p**2 + c + x*p + b*p**4 and give u.
-284
Express -683*k - 92 + 90 + 40*k**2 - 39*k**2 in the form b*k**2 + l + g*k and give b.
1
Express -33*n + 6584*n**2 - 6585*n**2 - 9*n**4 - 9 + 7*n**4 - 1 in the form k + q*n**2 + y*n**4 + s*n + h*n**3 and give y.
-2
Rearrange (n - 35 + 35)*(3 - 3 - 2*n)*(534*n + 12 - 8 - 438*n) to g*n + v*n**3 + m*n**2 + z and give v.
-192
Rearrange -28347*r + 17152*r + 14455*r - 3 to the form k + i*r and give k.
-3
Rearrange -78 - 82 - 76 + 14687*x + 236 to the form j*x + a and give j.
14687
Express -107564 - 11*y + 11*y + 45*y**2 + 107566 + 22*y as l + g*y + h*y**2 and give l.
2
Express -104 + 303 - 2*k - 162 + 3*k + (-50*k - 34*k + 16*k)*(3 - 2 - 3) in the form u + y*k and give u.
37
Rearrange 145*p - 165*p**2 + 2*p**3 + 1 + 404*p - 543*p to the form n*p + k + y*p**2 + c*p**3 and give c.
2
Express 2493*w + 4 - 7 + 1 + 0 in the form m + d*w and give m.
-2
Express 80*b**2 - 3*b + 3*b - 76*b**2 + 262 + 344 as g*b + s + v*b**2 and give s.
606
Rearrange (4*i + 0*i - 3*i)*(-2194 - i**3 + 1092 + 1099 + 187*i**2) to the form y*i**2 + a*i**4 + d + m*i + v*i**3 and give a.
-1
Express 747 + b**3 + 2*b**2 - 8425*b + 0*b**3 + 8424*b - 3*b**3 as i*b**2 + n*b + l*b**3 + r and give r.
747
Rearrange (8 - 3 - 2)*(-447*q**2 - 487*q**2 + 545*q**2) to the form p*q**2 + d + c*q and give p.
-1167
Express 2096*o - 33 - 87 + 2*o**2 + 120 in the form l*o + v*o**2 + y and give l.
2096
Rearrange 123*x + 339*x - 2*x**2 + 6*x**3 - 198*x to v + f*x**3 + z*x + u*x**2 and give f.
6
Express 14*c + 6213*c**3 - 6024*c**3 - 16*c as n + t*c**2 + w*c**3 + r*c and give r.
-2
Express 9784*i - 5031*i - 4750*i - 4*i**2 - 84 + (2*i**2 - 7*i**2 + 3*i**2)*(2 + 2 - 2) as w*i**2 + m + k*i and give k.
3
Rearrange 65*j**2 + 301*j**2 + 330*j**3 - j - 368*j**2 to n*j + o*j**3 + f + q*j**2 and give o.
330
Rearrange -8*w + 8*w + 10*w**2 - 9*w**2 - 8*w**2 + 15*w**2 + (6*w - 14*w + 6*w)*(-2*w - 2*w + 2*w) to the form f + l*w**2 + i*w and give l.
12
Express 173*w - 364*w**2 - 926*w - 930*w + 363*w**2 in the form z + s*w + q*w**2 and give q.
-1
Rearrange -3*y + 17*y**3 + 529*y**2 + 2*y - 499*y**2 - 20*y**3 + 0*y**4 - 13*y**4 to the form c + h*y + v*y**3 + w*y**2 + r*y**4 and give h.
-1
Rearrange z - 2*z**2 - 14690*z**3 - 609*z**4 + 1 + 2*z**2 + 29385*z**3 - 14694*z**3 to r*z**3 + c + s*z + d*z**4 + n*z**2 and give r.
1
Express -k**4 - 7*k**2 + 11*k**3 - 320 + 5*k**2 + 322 as s*k**2 + q + g*k**3 + a*k**4 + x*k and give a.
-1
Rearrange -7*w**2 - 67*w**3 - 7*w + 8 - 9 + 2*w**2 + 15*w to the form x*w**2 + i*w**3 + y*w + j and give y.
8
Rearrange -274 - 11*q**3 - 287 + 557 - 32*q**2 to the form w*q**3 + i + j*q**2 + g*q and give w.
-11
Express -26*l**4 - 1 + 2*l + 115*l**4 - 6*l**2 - 104*l**4 as a*l**2 + n + w*l**3 + x*l + f*l**4 and give f.
-15
Express (20*v - 42*v - 63*v - 50*v)*(-2*v + 0*v + 3*v - 4*v + v + 2*v + 32*v - 27 + 27 + (1 - 1 - 2*v)*(0 - 1 - 1)) as y*v**2 + w*v + m and give y.
-4860
Express (-2*t + 2*t + t)*(-2*t + t + 3*t) + (4*t - 2*t - 3*t)*(0*t - t + 2*t) + 31*t**2 + 28*t**2 - 12*t**2 as d + b*t + z*t**2 and give z.
48
Rearrange -15 + 4 - 113*z + 11 + (-z + 0*z + 2*z)*(7 - 1 - 3) to x*z + v and give x.
-110
Express 27 - 2*y**2 - 347 - 165 + 1 - 31 in the form u + o*y + h*y**2 and give u.
-515
Rearrange -330*y**2 - y - 119*y**2 - 2*y**3 - 143*y**2 - 37*y**2 + 0*y**3 to x*y + i + u*y**3 + r*y**2 and give r.
-629
Express (-6*p + 39 - 39)*(-40*p**2 - 348*p**2 + 1 + 96*p**2) in the form s*p + c*p**2 + a + x*p**3 and give s.
-6
Rearrange -1708*n**2 - 1508*n**2 - 1317*n**2 - 5 + 5 to the form f + d*n**2 + r*n and give r.
0
Rearrange (-7*q + 27*q + 25*q)*(-1 - 5 + 2)*(0 - 1 + 3)*(-2*q + 6*q + 5*q) to the form s*q + d*q**2 + t and give d.
-3240
Express -590*k - 930*k - 1609*k + 835*k - 819*k in the form b + i*k and give i.
-3113
Rearrange 3*j**4 + 2*j**3 - 8184*j**2 - 3*j - 4*j**4 + 8168*j**2 to the form q + z*j**4 + l*j**3 + x*j + t*j**2 and give l.
2
Rearrange -1711202*y + 1711201*y - 2*y**2 - 9 - 2*y**2 - 105 to the form v*y**2 + k + n*y and give k.
-114
Rearrange -113*n**2 + 141*n**2 - 114*n**2 - 7 - 39*n**2 to t*n**2 + k + z*n and give t.
-125
Express 66567*q**2 - 2 - 2*q**4 - 14*q**3 - 66569*q**2 + q + 4*q**3 in the form f*q**3 + d + h*q**2 + w*q + l*q**4 and give f.
-10
Rearrange -9*v - 45*v**3 - 241*v**3 - 47*v**3 to t + a*v + h*v**2 + g*v**3 and give a.
-9
Rearrange 39050*z**3 + 101*z**2 + 39046*z**3 - 2 - 6*z**4 - 78096*z**3 to the form s*z**2 + i*z + h + t*z**3 + x*z**4 and give h.
-2
Rearrange -44*d**2 + 12*d**2 + 4*d + 10*d**2 + 6*d**2 + 20*d**2 + 43 to l + r*d**2 + t*d and give r.
4
Express 30 - 48*f**2 - 10 - f - 1 - 11 - 7 as j*f**2 + o*f + c and give o.
-1
Rearrange d**2 + 5*d - 1998 + 1315 - 4*d - 3*d**2 to the form t + n*d**2 + i*d and give n.
-2
Express -6*o + 8*o**2 + 6*o + 691*o**2 in the form r*o + m*o**2 + g and give r.
0
Rearrange (-3743 - 636 - 1886)*(-4*w + 2*w + 0*w) to s + y*w and give y.
12530
Express (-11*s - 28*s + 9*s + (-s - s + 3*s)*(0 + 1 + 0))*(-83 + 26 + 25 + 481*s + 32) in the form a + i*s**2 + f*s and give i.
-13949
Rearrange -1058*d - 405*d - 246*d - 784*d to the form z + t*d and give z.
0
Rearrange -n + 4 + 1 + 3*n + (0*n + 0*n + 2*n)*(11 + 90 + 193) to o + m*n and give o.
5
Express 7*o - 2*o**2 - 3*o**3 + 12*o**2 - 5*o - 12*o**2 + 0*o + 39 as v*o**2 + j + k*o**3 + r*o and give v.
-2
Express -10124 - 10147 + 430*b + 20265 in the form l + y*b and give l.
-6
Express (-1 + 4*v**3 + 3*v**3 - 6*v**3)*(-v + 2*v + 2*v) + 929*v + 104*v**2 + 2*v**4 - 790*v - 99*v**2 as c*v + h*v**3 + d*v**4 + y*v**2 + u and give y.
5
Rearrange -2513 + 1271 + 4858*d + 1242 to n + h*d and give h.
4858
Rearrange 6 + 58*n + 18 + 12*n + 18 + 8 to the form a + l*n and give l.
70
Rearrange -306*r + 9248 - 18499 + 9252 to l*r + q and give q.
1
Rearrange -128*l**2 - 4942*l + 4947*l - 75*l**2 to the form b*l + p*l**2 + d and give b.
5
Rearrange 6008*w - 3020 + 3020 + (-1 - 1 + 3)*(5*w - 11 + 11) to the form t*w + j and give t.
6013
Express ((-2 - 3 + 4)*(-5 + 5 - 3)*(0 - 2 - 5*b + 1) - 5*b + 3*b - 2*b)*(-6 + 6 - 22*b**3) as x*b**2 + l*b**4 + q + n*b**3 + c*b and give l.
418
Express 94 + 544*k - 179 + 398*k + 85 + 2*k + 3 - 3 + 2*k - 3*k - k + (-2 - 2 + 2)*(k + 0 + 0) in the form j*k + h and give j.
940
Rearrange (-321*d - 212*d + 44*d + 2*d**2)*(-28*d + 4*d - d - 41*d) to the form m*d**3 + z*d + f*d**2 + i and give f.
32274
Rearrange -74*f**2 + 1 - f**4 - 105*f**3 + 110*f**3 + 10*f**2 + 2*f to u*f**2 + r + z*f**3 + k*f + n*f**4 and give k.
2
Rearrange -13113*v - 2660 + 2660 to t*v + z and give t.
-13113
Rearrange (4797 + 2872 + 823)*(m**2 + 3*m**2 - 3*m**2) to l*m + j + y*m**2 and give l.
0
Rearrange -1464*x + 749*x - 4231*x - 1645*x - 23*x to t + o*x and give o.
-6614
Express 671*q + 48*q**2 + 665*q - 1337*q - 5 - q**3 + 3*q**4 as k*q**2 + n*q + p*q**3 + o + r*q**4 and give r.
3
Rearrange ((-6 - 3*n**3 + 6)*(0 + 6 - 4) - n**3 - 2*n**3 + 6*n**3)*(1 + 1 + 0)*(-5 - 4 + 6) to f*n + x*n**3 + u + o*n**2 and give x.
18
Express (7*t + 5*t - 5*t)*(1795 + 403 + 311 + 316) as n*t + m and give m.
0
Express (120*p**2 - 592 + 592)*(-17*p - 12 - 16*p + 31*p) as c*p**2 + y + u*p + m*p**3 and give u.
0
Express 87827*m**2 + 3 - 86732*m**2 - 3 as y*m + g*m**2 + i and give g.
1095
Rearrange 23*o + 5 + 254*o**2 - 1 - 24*o - 82*o**2 to x*o + m + v*o**2 and give x.
-1
Express -22*d**2 - 58 + 27 + d + 53*d**2 + 3*d**3 - 3*d**2 + 20 as q*d + u + z*d**2 + x*d**3 and give x.
3
Rearrange (-3 + n + 3)*(7*n + n - 2*n)*(-277 + 623 - 310) to the form s*n + y + m*n**2 and give m.
216
Rearrange (u**2 - 2 + 2)*(11* | {
"pile_set_name": "DM Mathematics"
} |
Let h(s) = -s**3 + 6*s**2 + 1. Let n be h(6). Let w(o) = 2*o**3. Is w(n) a multiple of 2?
True
Suppose -5*i = -5*t + 520, -3*t + 287 = 5*i - 49. Is t a multiple of 30?
False
Let a(r) = -3*r - 1. Let f be a(-5). Suppose 3*l - 5 = 2*l + 3*w, 5*w = -5. Suppose -f = -l*m + m. Is 7 a factor of m?
True
Suppose -5*g + 4*s + 630 = 2*s, -3*s = -g + 139. Is g a multiple of 14?
False
Suppose -5*p = -10, p = 2*l - 2*p. Let j(a) = 6*a**2 + 3*a - 3. Is j(l) a multiple of 20?
True
Is (2 - -2) + 238/1 a multiple of 16?
False
Does 14 divide 2532/21 + -3 + 72/21?
False
Suppose 4*b = -3*l + 6, -2*l + b + 4 = 2*b. Suppose 0 = -4*f + l + 18. Is f a multiple of 2?
False
Suppose 7*l = -5*w + 2*l + 265, 4*w - 217 = l. Does 36 divide w?
False
Let n = -39 + 22. Let g = 45 + n. Let w = -12 + g. Is w a multiple of 14?
False
Suppose -5*y = l - 177, -101 = -3*y - 4*l + 6*l. Does 5 divide y?
True
Suppose -3*k - p = -16, 2*k - 6*p = -5*p + 4. Suppose -3*t + 34 = 3*f - 4*f, k*t - 5*f - 38 = 0. Is 4 a factor of t?
True
Is 6/(-14) + 8088/56 a multiple of 24?
True
Let v = -7 - -13. Let h(q) = 3*q + 6. Let i be h(v). Does 9 divide (6/8 - 0)*i?
True
Suppose 5*q + 6 = o - 7, 6 = 4*o + 3*q. Suppose 3*c + 21 = o*n, -2*n - 16 = 2*c + 10. Let v(j) = -j**3 - 9*j**2 + 9*j. Is 10 a factor of v(c)?
True
Suppose 0 = -3*d - 3*x + 6, -4*d - 5*x = 2 - 14. Is 3 a factor of d*(-12)/3*1?
False
Suppose 0 = -3*q + q. Suppose q*p = p - 34. Does 11 divide p?
False
Let h(b) = 144*b**3 + b**2 - 2*b + 1. Is h(1) a multiple of 22?
False
Let g(t) = -t**3 - 5*t**2 - 4*t - 6. Is g(-5) a multiple of 7?
True
Let l = 3 + 3. Suppose l = -3*f - 0*n + 3*n, 3*f + 10 = 4*n. Suppose 2*p - f*j - 23 = -j, -4*p + 50 = 2*j. Is 6 a factor of p?
True
Suppose 49 = 2*w - 157. Is w a multiple of 30?
False
Let g be (-2)/6*(-680 + -1). Suppose g = 4*y - 5*f, 0*y + 2*y + 2*f = 100. Is y a multiple of 16?
False
Suppose -5*w + 47 = -g, w = 3*w + 3*g - 29. Does 5 divide w?
True
Let w(f) = 4*f**2 - 5*f + 14. Let p(u) = u**2 + u + 1. Let j(i) = 6*p(i) - w(i). Is 11 a factor of j(-8)?
False
Suppose -8*f + 3*f = -650. Is 10 a factor of f?
True
Let u = 75 - 20. Let g = 47 + u. Suppose 2*n - g = -n. Does 14 divide n?
False
Suppose -6 = -7*f + 8. Let t = 5 + -14. Is t*f/12*-2 a multiple of 3?
True
Suppose -2*r + 4*o + 12 = 0, o + 1 + 2 = 5*r. Let k = r - -29. Is 17 a factor of k?
False
Suppose o - 9 = -3. Suppose -3*q + 2*i = -o, -4*q + 2*q = -2*i - 6. Does 6 divide 3/(-1)*(-3 + q)?
False
Suppose -3*g + 8*n - 3*n - 4 = 0, n - 26 = -3*g. Is g a multiple of 3?
False
Let s(h) = -h**2 - 8*h - 5. Let l be s(-7). Suppose 2*p + l*p - 2*d = 18, -5*p + 18 = -d. Is p + (-39 + 1)/(-2) a multiple of 11?
True
Let x(t) = t**3 + 2*t**2 + t + 72. Is x(0) a multiple of 11?
False
Let r = 8 + 4. Is 6 a factor of r?
True
Suppose p + 4*p = 65. Suppose 0 = -2*j - i + 10, -3*j = -2*i - p - 2. Is 5 a factor of j?
True
Suppose 4*r + 61 = -3*i, 2*i - 9 = 2*r + 25. Suppose n = 3*t - 23, 6*n - 2*t = 2*n - 42. Does 10 divide (-316)/r - 2/n?
True
Let g(z) = z**3 - z**2 + 3*z - 1. Let o = -6 + 8. Let y be g(o). Suppose 5*t - 4*s + 4 = t, y = 3*s. Is t even?
True
Let r = -3 + 5. Suppose 17 - 3 = r*a. Suppose 0 = 3*g - a - 113. Is 19 a factor of g?
False
Let h be 2/8 + 146/(-8). Let a = -9 - h. Let j = a + -6. Is j a multiple of 2?
False
Let w(y) = 0 - 5*y + y - 2 + 3. Is 9 a factor of w(-2)?
True
Let p = 1 - -1. Suppose 0 = -p*k - 0*b - 5*b + 23, -4*k = -5*b - 1. Does 4 divide k?
True
Suppose -4*w = 7 + 9, 3*v - 15 = -3*w. Suppose -4*r + 3*t + 13 = 0, -5*r + 10 = 4*t - v*t. Let h = r + -3. Does 4 divide h?
True
Is 7 a factor of 0 - (-14 - (-2 - -2))?
True
Suppose -5*y = -0*y. Suppose 2*a = k - 0*k - 26, -3*k - a + 64 = y. Is (-2)/(-11) + 480/k a multiple of 22?
True
Let k be (-6)/(-9) + 103/3. Let o = k - -14. Is 12 a factor of o?
False
Let k be 2/3 + 14/6. Suppose k*m = 8*m + 240. Let n = m - -82. Is 11 a factor of n?
False
Suppose -2*a - 2*o + 68 = 0, -5*o = 2*a - 6*o - 65. Does 8 divide 517/a + (-1)/(-3)?
True
Suppose -d - 5*f - 8 = -10*f, -d - f = -10. Let u(s) = s - 6. Let l be u(d). Suppose 0 = -2*g + 8, -4*g = t - 6*g + l. Does 4 divide t?
False
Let i(p) be the third derivative of -p**6/120 - 11*p**5/60 - p**4/6 + 7*p**3/6 - p**2. Is 18 a factor of i(-11)?
False
Is (-3390)/(-25) + (-6)/(-15) a multiple of 31?
False
Let h(g) be the second derivative of g**7/42 + g**6/360 - g**5/60 + g**4/24 + g**3/6 - 4*g. Let i(z) be the second derivative of h(z). Is 10 a factor of i(1)?
True
Let k(r) = 22*r**3 - 4*r**2 + 2*r - 3. Let s(v) = -44*v**3 + 9*v**2 - 4*v + 7. Let c(j) = 5*k(j) + 2*s(j). Does 21 divide c(1)?
True
Let h(l) = -4*l**2 - 5. Let r(y) = 5*y**2 + 6. Let p(x) = -4*h(x) - 3*r(x). Suppose -5*o + 5*g = 20, -1 - 3 = 4*o - g. Is p(o) even?
True
Suppose -3*g = -18 + 3. Let w = 15 + g. Is 10 a factor of w?
True
Suppose j = -j + 40. Suppose -3*g + 19 = -j. Does 13 divide g?
True
Let g(z) = z**3 - 9*z**2 - 2*z + 9. Let h be g(9). Let a = 18 + h. Is a a multiple of 4?
False
Let r(o) = o**2. Let p be (-4)/(-22) + (-42)/(-11). Is 16 a factor of r(p)?
True
Suppose 0 = -2*t + w + w + 6, 0 = -t - 3*w - 1. Let j(b) = b + 1. Let c be j(3). Suppose t*g - c = 6. Is g even?
False
Suppose 4*y = -13 + 37. Suppose -y*m = -m - 5, q + m = 4. Suppose -2*w + 14 = -4*z, q*w + w - 48 = -2*z. Is 11 a factor of w?
True
Let l(p) = -7*p + 1 + 0*p + 0*p - 3. Does 12 divide l(-2)?
True
Let q(i) be the first derivative of 2*i**3/3 - 5*i**2 + 6*i + 6. Is q(6) a multiple of 3?
True
Let r = 48 + 2. Is r a multiple of 10?
True
Suppose 0*t + t = 5. Suppose -4*d + t*m = -29, -2*m = 2*d + 3*m - 7. Suppose -4*g + 31 = -0*y + 3*y, -d = 2*y. Is g a multiple of 10?
True
Let p be 28/20 - (-4)/(-10). Is 3 a factor of -1 + (-21)/(p + -4)?
True
Let t be (-5 + 15)/(1/5). Let f be t/5 + -3 + 0. Is 20 a factor of 233/f + 2/(-7)?
False
Suppose 0 = 3*q, -2*b + 3*q = 2*b - 24. Suppose 0 = -3*m - 2*r + 48, -b*r + 3*r = -9. Is 7 a factor of m?
True
Suppose 2*g + 42 = 154. Is 14 a factor of g?
True
Suppose 23 = 2*y - 4*b + 11, 5*y - 40 = 5*b. Suppose -2*g + 4*n = 3*g - 142, -2*g + 2*n = -56. Suppose 4*s - f = g, 3*s - 5*f = -y*f + 34. Is s a multiple of 8?
True
Let c(q) = 5 + q - q - q**2. Let p be c(0). Suppose 4*i - 35 = u, i = -p*u + 3*u + 2. Is 6 a factor of i?
False
Suppose 19 + 326 = 5*l. Does 17 divide l?
False
Let f(i) = i**3 + 8*i**2 + i - 9. Does 9 divide f(-7)?
False
Suppose 0 = -5*h + 2*n + 32, 30 = 5*h - 4*n - 4. Let r(y) = 2*y - 6. Let a be r(h). Suppose -3*f - 42 = -a*f. Is f a multiple of 6?
False
Let g = 24 + 12. Does 6 divide g?
True
Suppose 0*g + 4*g - 608 = 0. Suppose -4*h = -5*t - g, -3*h + 2*t + 12 = -102. Is h a multiple of 15?
False
Let p = 53 + -19. Does 34 divide p?
True
Suppose 3*g = -4*w + 255, 319 = 8*w - 3*w + 4*g. Does 21 divide w?
True
Let s(v) = -v**2 - 18*v - 5. Does 33 divide s(-8)?
False
Suppose 0 = i - 2*f - 18, i - 3*f - 28 = f. Let u(o) = 5*o**2 + 6*o - 6. Let n(x) = x**2 - x + 1. Let h(b) = -6*n(b) + u(b). Is h(i) a multiple of 20?
True
Let z be 8/(-52) - 141/13. Suppose 0*k = 2*j + 2*k, 0 = 3*j + 4*k - 1. Let i = j - z. Is i a multiple of 9?
False
Suppose -4*y = -i - 10, 0*y - 2*i + 10 = 2*y. Let m = y + -15. Is 16 a factor of (m/(-9))/(2/24)?
True
Let x(q) = 3*q - 3. Let z be x(2). Suppose -5*i + 209 = 4*j, -7*j - 3*i = -z*j - 215. Is 10 a factor of j?
False
Let g(l) = -10*l - 21. Is g(-9) a multiple of 12?
False
Suppose 2*z + z = 24. Is 3 a factor of z?
False
Suppose 0 = -2*h - 3*h + 15. Let c = 1 + h. Is c even?
True
Suppose 0 = -3*a + 205 - 67. Does 19 divide (2 - (-1 - 0)) + a?
False
Suppose -u - 3*k + 5 = 0, 5*u - 7*k - 25 = -3*k. Let a(h) = 8*h + 2. Let g be a(u). Suppose -2*p + g = 4*o, 2*o + 127 = 5*p - 2. Is 10 a factor of p?
False
Let b = -9 + 6. Is 5 a factor of (-2 - -8) + 1 - b?
True
Suppose q - 109 = 35. Is q a multiple of 36?
True
Let f(y) = y**3 - 5*y**2 - 2*y - 3. Let c be 0 + 10 + 4/(-2). Let z be c + (3 + -2 - 3). Is 14 a factor of f(z)?
False
Suppose -5*b + 11 = 3*j - 28, 2*b - 3*j = 3. Does 3 divide (27/b)/((-3)/(-6))?
True
Suppose 24 = 6*s - 0*s. Suppose 5*m + s*u = 195, 8*u - 55 = -m + 4*u. Is 6 a factor of m?
False
Let v = -33 + 93. Does 10 divide v?
True
Is 11 a factor of (-144)/(-8) - 2*-2?
True
Let n(b) = b**2 + b - 3. Let g be n(-3). Is 106/g + | {
"pile_set_name": "DM Mathematics"
} |
Expand (-12*b**2 + 15*b**2 - 8*b**2)*(-26*b**2 + 3*b**2 + 7*b**2).
80*b**4
Expand -4*s**4 + 4*s**4 + 3*s**4 + (-2 + 2 + 16*s)*(11*s**2 - 11*s**2 - 7*s**3).
-109*s**4
Expand (-44*b**3 - 35*b**3 + 78*b**3)*(-b**2 + 3*b**2 + 2*b**2) + (5*b**3 - 7*b**3 + 16*b**3)*(-2*b**2 + b**2 - b**2).
-32*b**5
Expand (-4*c**2 + 3*c**2 + 3*c**2)*(3*c - c + 0*c) + 15 - 15 - 3*c**3 + (-8*c - 5*c - 3*c)*(9*c**2 + 2*c**2 + 2*c**2).
-207*c**3
Expand (64 - 16 + 84)*(-15 - 11*b + 15)*(3*b - 5*b + 3*b)*(0*b + 5*b - 4*b).
-1452*b**3
Expand (-729*q**2 + 218*q**2 - 154*q**2)*(0 - 4*q + 8*q + 2).
-2660*q**3 - 1330*q**2
Expand (3*l - 2*l + 3*l + (-2*l + l + 2*l)*(2 + 0 - 1))*(-295*l + 178*l - 143*l)*(-3 + 0 - 2 + (2 - 3 + 3)*(0 + 0 + 2)).
1300*l**2
Expand (820*z - 207*z + 877*z)*(0*z + 2*z + 0*z).
2980*z**2
Expand (109 - 109 + 15*a)*(10185*a - 10185*a + 13*a**3 - a**2).
195*a**4 - 15*a**3
Expand 2*n**5 - 3*n**2 + 3*n**2 + (4*n**3 - n**3 - 4*n**3)*(-n**2 + n**2 - 2*n**2) + (87*n**4 - 16*n + 16*n)*(0 + 0 - n) + 0*n**5 - 2*n**5 - n**5.
-86*n**5
Expand (-w + w - w**2)*(-7425 + 11388*w - 7430 + 14855).
-11388*w**3
Expand (-7*i + i + 3*i)*(2 - 34*i**2 + 64*i**2 + 494*i - 28*i**2).
-6*i**3 - 1482*i**2 - 6*i
Expand (4*i + 0*i - 5*i)*(i**4 - 3*i**2 + 3*i**2) - i**2 + 3*i**5 + i**2 + (5*i - 5*i - 4*i**2)*(-86*i**3 + 323*i**3 + 70*i**3).
-1226*i**5
Expand (0*y + 0*y + y)*((-3 + 2 - 1)*(-4*y + 4*y - y**4) - 3*y**4 + 0*y + 0*y) + 298*y**3 + 139*y**3 + 3*y**5 - 251*y**3.
2*y**5 + 186*y**3
Expand (5 - 3 + 0)*(-y + 0*y + 0*y) + y + y - 3*y + 2*y - 5*y + 5*y - 4 + 4 + 2*y + (0 + 0 - 4)*(18 + 8 + 5)*(-6*y + 4*y + 3*y).
-123*y
Expand (-62 + 67 + 192)*(0*o**3 - o**4 + 0*o**3 + (-16*o**2 - 17*o**2 + 31*o**2)*(2*o**2 - o + o)).
-985*o**4
Expand -d**2 - 8*d**2 - 4*d**2 + (-9 - 83*d + 81*d - 11)*(-3 + 3 + 2*d).
-17*d**2 - 40*d
Expand ((-3*l - 3*l + 4*l)*(-17 - 214 - 72) - 1 + 2*l - 1 + 2*l)*(0 + 0 - l**2).
-610*l**3 + 2*l**2
Expand (6*y - 3*y + 0*y)*(-119 + 410 + 5)*(0*y**2 + 0*y**2 - y**2).
-888*y**3
Expand (2 - 4 + 1)*(64*h - 64*h - h**2)*((-53 + 28 + 46)*(4*h - 5*h - h) + 4 - 3*h - 4).
-45*h**3
Expand (-954 - 36*j**2 + 954)*(-10 - 3*j**3 + 10 + 11*j**2).
108*j**5 - 396*j**4
Expand (-5*n + 3*n + 4*n)*(-4*n + 0*n + 6*n) + (2*n + 3*n - 3*n)*(185*n - 7*n + 18*n) + (3 + 0 + 0)*(n**2 - 1 + 1) + (2*n - 4*n + n)*(-n + 0*n + 2*n).
398*n**2
Expand (h + 0*h - 1 + 0)*(3 + 0 + 3)*(14*h + 144*h + 29*h).
1122*h**2 - 1122*h
Expand -304*z**4 + 169*z**4 + 163*z**4 + (2 + 0 - 4)*(2*z - z**4 - 2*z) - 10 + 11 + 3*z**4 - 2*z**4.
31*z**4 + 1
Expand (-5*u + 3*u + u)*(-11 - 3 + 1) - 6*u + 3 - 3.
7*u
Expand (1 + 5 + 1)*(-5*l - 9*l - l + (-l - 3*l + l)*(1 - 2 + 0)).
-84*l
Expand (-15*z**3 - 16*z**3 + 155*z**3)*(0 + 3 - 1) + (-3*z + 3*z - 3*z)*(2*z + 2*z**2 + 0*z - z**2).
245*z**3 - 6*z**2
Expand (6*q**2 + 4*q**2 - 4*q**2)*(2*q + 6724 - 7*q**2 - 28*q - 6727 - 19*q).
-42*q**4 - 270*q**3 - 18*q**2
Expand (-4 + 0 + 1)*(381*c**2 - 610*c**2 + 2300*c**2).
-6213*c**2
Expand (12*v - 3*v - 6*v)*((0 - 2 + 8)*((3 - 5 + 1)*(0 - 1 + 0) + 312 - 119 - 62) + 1 + 4 - 6).
2373*v
Expand (y - 2*y - 3*y)*(-y**3 + y**3 + 2*y**3) + 2*y**3 + 2*y**4 - 2*y**3 + 57*y - 82*y - 2*y**4 + 0*y**4.
-8*y**4 - 25*y
Expand (24*p - 13*p - 8*p + 7)*((-3 + 1 + 0)*(-2*p**3 + 0*p**3 + 0*p**3) + 3*p**3 + 1 - 1 + (-3 - 20*p + 3)*(-p + p - p**2) + 0*p**3 + 5*p**3 - 3*p**3).
87*p**4 + 203*p**3
Expand 10*b - 3*b + 4*b + (-5*b + 4*b + 3*b)*(1 + 4 - 3) - 12 - 22 + 69*b + 30.
84*b - 4
Expand (66 + 11 - 119*z + 121*z)*(-1 - 28 + 1).
-56*z - 2156
Expand (b**2 + 0*b**2 + b**2)*(-1 - 6 + 11 + 2 - 6 + 3 + (-2 + 3 - 3)*(0 - 3 + 1) - 3 - 1 + 5 - 3 - 1 + 2 - 1 + 4 + 0 + 62 - 226 - 292 - 141).
-1176*b**2
Expand (-30*m - 155 + 77 + 77)*(3*m + 26 - 53 + 26).
-90*m**2 + 27*m + 1
Expand (-i + 4*i - i - 3*i + 2*i + 3*i + (4 - 2 + 0)*(-i - 2*i + 4*i) + 0*i - 2*i + i + 74 - 143 + 58 - 3*i)*(-4*i**2 - 5*i + 5*i)*(-i + 3*i + 3*i).
-40*i**4 + 220*i**3
Expand (0 + 0 + 1)*(0*g - 28*g + 2*g) + (0 + g + 0)*(-1 + 0 + 2) - 7 + 7 + 8*g.
-17*g
Expand (-3 + 3 - 2)*(2 - 12 + 34)*(-2*c + 1 + 7 - 3).
96*c - 240
Expand (n**2 + 0*n + 0*n)*(1 + n - 1) - 1136 + 69*n**3 - 85*n**3 + n + 1127.
-15*n**3 + n - 9
Expand (x**3 - 2*x**3 - 7*x**3)*(x**2 - 211 - 122 + 101 + (2*x + 2*x**2 - 2*x)*(-1 + 0 - 3)).
56*x**5 + 1856*x**3
Expand (-20 - 8 - 11)*(307*s + 56*s - 76*s)*(-3*s - s + 5*s)*(-s + s - s).
11193*s**3
Expand (4*i - 9*i + 19*i)*(14 + 16 + i - 13).
14*i**2 + 238*i
Expand (114*w + 168 - 168 + (w - w - 2*w)*(-4 + 4 - 3) + 3*w + 3*w - 3*w)*(-5*w + 2*w - 2*w).
-615*w**2
Expand ((-1 - 1 + 3)*(-1 + 1 - 1) + 4 - 2 - 4 + 2252 - 1179 - 1136)*(-5*j - 8*j**2 + 5*j).
528*j**2
Expand (-5*n**2 - 5*n**2 + 29*n**2)*(4*n**3 - 3*n**3 + 0*n**3) - 3*n**5 + 2*n**5 + 16*n**5.
34*n**5
Expand 25*i**3 - 94*i**3 - 43*i**3 + (3*i**2 - i**2 + i**2)*(i - i + i).
-109*i**3
Expand (3 - 3 + 2*i)*(-585*i - 578*i + 35 + 500*i - 168*i).
-1662*i**2 + 70*i
Expand (4 + 0 + 55)*(-2 + 2 + 3*v**4) + (2 - 2 + 2*v**3 + (0 + 0 - 2*v)*(-3*v**2 - v + v))*(4*v - 4*v - 3*v).
153*v**4
Expand (-48 + 18 + 2 - 30)*(-2*y**4 - 3*y**4 + y - 6*y**4).
638*y**4 - 58*y
Expand -3*t**4 + 4*t**4 - 3*t**4 + (-15 + 15 - 6*t)*(-2*t**3 + 4*t**2 - 4*t**2) + (-4*t - t**3 + 4*t)*(3 + t - 3) + 7*t**4 + 385*t**2 - 385*t**2.
16*t**4
Expand -1 + i + 1 + (2 + i - 4 + 0)*(0 + 3 - 4) + 5661 - 2891*i - 5661.
-2891*i + 2
Expand (28*x - 8*x + 38*x)*(2*x**2 - 2*x**2 - 2*x**2)*(6*x - 8*x + 6*x).
-464*x**4
Expand (16 - 7*r - 16 + (156*r - 1 + 0 - 51*r)*(-4 + 5 - 13))*(-4 + 4 - r**2).
1267*r**3 - 12*r**2
Expand (g**3 - g**3 + 3*g**3)*(7710 - 7710 + 8481*g).
25443*g**4
Expand (2*m - 3*m - 2*m)*(-7*m - 5*m - 10*m) - 245*m + 2 + 245*m + 17*m**2 - 2*m**2 + 2*m**2 + 3*m**2.
86*m**2 + 2
Expand (-1 + 1 + 3*y)*((-11*y + 20*y - 11*y)*(-6 + 2 + 0) + y - y - 10*y).
-6*y**2
Expand -7*c**5 + 5*c**5 - 2*c**5 + (7*c**2 - 5*c**2 - c**2)*(c + 2*c**3 - c) + (-16*c**3 + 12 - 12)*(-5*c**2 + 0*c**2 + 3*c**2).
30*c**5
Expand (6153446 + 17*m**2 - 24*m - 6153446)*(40*m - 5*m - m).
578*m**3 - 816*m**2
Expand (-5 + 0 + 1 + (6 - 5 + 2)*(4 - 3 - 2) - 3 + 5 - 3)*(-138 - 25 - 266 + t).
-8*t + 3432
Expand (14*y - 3*y + 8*y - 3*y)*(13 - 13 - 5*y)*(201 + 310 + 383).
-71520*y**2
Expand (-2*y**2 - 416236*y**3 + 416495*y**3 - 6*y**2)*(-3 - 6*y - 2*y + 4) - 3*y**4 + 0*y**4 + y**4 + 4*y**4 + y**4 - 4*y**4 + (-4 - 2 + 4)*(y**4 + 0*y + 0*y).
-2075*y**4 + 323*y**3 - 8*y**2
Expand 1 - 1 + z + 6*z - 4*z + 0*z + (6*z - 2*z - 3*z)*(1 + 2 - 5) - z + 4*z + 3*z + (2 - 2 - 2*z)*(3 - 1 - 1) - 2*z + 8*z - 2*z.
9*z
Expand (3 - 2*k**3 - 3 + 3 - 3 + k**3 + (k - k + k**2)*(0 + 2*k + 0) + (-3*k + 0*k + k)*(-2*k**2 + k**2 - k**2))*(113*k - 69*k + 8*k).
260*k**4
Expand v**3 - v**3 + 4*v**5 + (77*v**2 + 194*v**2 - 35*v**2)*(2*v**2 - 2*v**2 + 2*v**3) + 18*v**2 - 4*v**5 + v**5 + 2*v**5.
475*v**5 + 18*v**2
Expand ((0 + u + 0)*(1 - u - 1) + (2 - 2 - u)*(3 - 2*u - 3))*((-3 - 4 + 6)*(3 - 3 - 2*u) + 142*u - 910 + 910 + u - 2*u + 4*u).
147*u**3
Expand -j**5 + 3*j**5 - 3*j**5 + (-96 - 30 + 19)*((-2 - 2 + 3)*(-j + j - j**5) - 4*j**5 + 4*j**5 - 2*j**5).
106*j**5
Expand (-98*m - 141*m**2 + 133*m**2 + 32*m**2)*(-1 - 2 + 1).
-48*m**2 + 196*m
Expand 11*l + l - 2*l**2 + 2*l + (2*l + l - 4*l)*(l - l + l).
-3*l**2 + 14*l
Expand (-3 + 4235*o - 3142*o + 16100*o + 3 + 15358*o)*(1 - 3 + 4).
65102*o
Expand 2*l**5 + 0*l**5 - l**5 + (-3*l + l - l)*(0*l**3 + 0*l**3 - l**4) + 32*l**5 - 42*l**5 + 28*l**5 + (-4*l**2 + 4*l**2 - 4*l**5)*(-2 - 1 + 0).
34*l**5
Expand -9*h + 78*h + 31*h + (3 - 3 + 1)*(-4*h + 4*h - 2*h) - 2*h + 4*h - 3*h + 2 - 2 + 8*h.
105*h
Expand (0*z + 0*z + z**2)*(353 + 149 - 2201576*z + 2201575*z + (2*z - 2 + 2)*(0 + 1 + 0) + 2*z + 0 + 0).
3*z**3 + 502*z**2
Expand -16*m**4 + 6*m**4 - 17*m**4 + (-41 - 14 - 65)*(2*m**4 - 6*m**4 + 2*m**4).
213*m**4
Expand ((1 - 2 + 3)*(-3 + 1 + 0) + (-1 + 4 - 5)*(3 + 1 - 6) - 2 - 1 + 4 + 62 + 29 - 8)*(-18*s + 18*s + 2 + 3*s**3).
252*s**3 + 168
Expand ((1 - 2*w - 1)*(-w + w + w) - 8*w**2 + 4*w**2 - 12*w**2)*((-8*w - w + 3*w)*(-3 + 5 - 1) + 19 - 4*w - 19).
180*w**3
Expand (3 + 2 - 3)*(8 - 19 + 0)*(-10 - 1 - 10)*(-5*w + 3*w + 5*w).
1386*w
Expand (-7*p**3 + 24*p**2 - 24*p**2)*(-3 - 2 + 3) + (0*p + 0*p + 2*p**2)*(0*p - 4*p - p + (p - 3*p + 0*p)*(0 - 3 + 1)) - 38*p**3 - 4*p**3 + 3*p**3.
-27*p**3
Expand 2 - 36*k**3 + 85*k**3 - | {
"pile_set_name": "DM Mathematics"
} |
e -2 - m - (2 + 1). Let y(l) = l**3 + 2*l**2 - 4*l. What is y(u)?
3
Let w(j) = -j - 7. Let b(g) = g**3 - 5*g**2. Let t be b(5). Give w(t).
-7
Suppose -3*z = -6*z - 6. Let u(g) be the third derivative of g**6/60 + g**5/20 + g**4/24 - g**2. Give u(z).
-6
Let v(x) = x**2 - x - 2. Suppose 3*y + 2*k = -19, -5*k - 3 = -3*y - 8. Calculate v(y).
28
Let m(h) be the third derivative of -h**7/2520 + h**6/180 - h**4/6 - 4*h**2. Let r(j) be the second derivative of m(j). Let p = 12 + -8. Determine r(p).
0
Let q(r) = -6*r**3 - r**2 - r - 4. Let j(k) = k**3 - 5*k**2 + 4*k - 4. Let w be j(4). Let g(c) = 5*c**3 + c**2 + c + 3. Let p(d) = w*g(d) - 3*q(d). Give p(-1).
2
Let r be (0 - -1)/1*-1. Let u(d) be the third derivative of d**4/24 + d**3/6 - 7*d**2. Calculate u(r).
0
Let l(p) = 2*p - 5. Let x be l(5). Let v(o) = 0*o**2 + 4*o**2 + 1 - x*o**2 + 4*o. What is v(5)?
-4
Let h = 71 - 70. Let n(k) = -10*k**2 + k. Determine n(h).
-9
Let o(g) = g**2 - 8*g + 3. Let c be o(7). Let y(l) be the third derivative of 1/4*l**4 + 1/30*l**5 + 0*l + 3*l**2 + 0 + 0*l**3. Give y(c).
8
Let k(f) = -13*f - 2. Let j(o) = -6*o - 1. Let t(a) = -9*j(a) + 4*k(a). Give t(-2).
-3
Let w(y) = 0 + 11 - 2 + y - 7. What is w(-3)?
-1
Let v(o) = o. Suppose 0 = 4*z + 12 + 20. Let d be (-5)/(140/z)*7. Calculate v(d).
2
Let i(g) be the first derivative of -g**3/3 + 3*g**2/2 - 4*g + 24. Calculate i(3).
-4
Let y(s) = 5*s**2 + 7*s - 2*s - s**3 - 3 - 2*s**2 - 2*s**2. Calculate y(3).
-6
Suppose 3*i = 6*i. Let x be i/(1*-2*1). Let p(k) = k**2 + 4. Give p(x).
4
Let d be (-9)/4 + 21/(-28). Suppose 32 = 4*a + 8. Let o(n) = a - 1 - 4 + 2*n. Give o(d).
-5
Let a(p) = p**2 - 2*p + 3. Let h be 4/14 + (-89)/(-7). Suppose h = 4*i + 1. Give a(i).
6
Let i(l) = -l**3 - l**2 - l + 16. Let b(w) = -w**3 - 3*w**2 + w + 3. Let f be b(-3). Suppose f*c = -4*c. Determine i(c).
16
Let o(m) = m + 1. Let t(i) = -6*i - 1. Suppose -h + 2 = -u + 3, 0 = 4*u - 8. Let q(f) = h*t(f) + 3*o(f). Suppose 2*p = -2, 5*d = -2*p - 10 - 7. Calculate q(d).
11
Let f(u) = 0 - 1 + 2*u - u. Let c(r) = 2*r - 31. Let t be c(13). Give f(t).
-6
Let w(q) = 0 - 2*q**2 - 4*q + q**3 + 3*q - 2*q - 4. Suppose 2*d = -2*t + 12, 3*d + 4*t = -t + 24. Determine w(d).
-4
Let n(j) = 3*j**3 + 10*j**2 - 2*j - 1. Let x(i) = -i**3 - i**2 - i + 1. Let r(t) = -n(t) - 4*x(t). Suppose -4*d + 16 = -0. Determine r(d).
-11
Let g(y) = -11*y**2 - 1 + 21*y**3 + 19*y**3 - 39*y**3 - 2 + 10*y. Give g(10).
-3
Let w(q) = -8 - 4*q + q + 2*q + 7. Let r = 2 - 2. Suppose r = -g + 3*g - 12. Calculate w(g).
-7
Let q be ((-16)/6)/(2/(-3)). Let a(k) = 3*k + 4. Let w(u) = 2*u + 4. Let b(z) = -4*a(z) + 5*w(z). Calculate b(q).
-4
Suppose -45 = 8*y - 3*y. Let g(b) = b + 6. What is g(y)?
-3
Suppose 2*z - 14 = b + b, -5*z + 2*b = -23. Suppose 4*k = 3*f + 12, 3*k - 9 = -z*f - 0*k. Let n(w) = 3*w**2 - 6*w**2 + 6 + 2*w**2. Determine n(f).
6
Let t(u) be the second derivative of u**3/3 - 5*u**2 + 10*u. Determine t(7).
4
Suppose m = -5*f - 17, 5*f + 2*m + 6 = 2*f. Let i(s) = -s + 5. Calculate i(f).
9
Let f(a) = 414 - 2*a + 0*a**2 - 411 + a**2. Suppose 4*m = 2*v + 3*v + 12, m - 5*v = 3. What is f(m)?
6
Let s(k) = -5*k - 1. Suppose 0 = -2*y + 1 - 3. Let w be s(y). Let g(j) = w*j + 2 + 4*j - 3*j. Determine g(-2).
-8
Suppose 7*v + 5 = -16. Let t(u) = -u**3 - 3*u**2 + u + 4. Calculate t(v).
1
Let k = 15 - 13. Let z(l) be the third derivative of -1/8*l**4 + 0 + l**2 + 0*l + 1/6*l**3. Determine z(k).
-5
Let s(x) = -3*x + 4. Let w(h) = -7*h + 9. Let y(n) = 9*s(n) - 4*w(n). Let q(j) = -j**3 + 5*j**2 + 6*j + 6. Let r be q(6). Determine y(r).
6
Let t be 3/2*8/4. Let i(n) = t*n - n**2 - 23*n**3 - 3 + 22*n**3 - 5*n**2 + 2*n**2. Give i(-5).
7
Let s(t) = 4*t - 5*t**2 + 4*t**2 + 7 + 0*t. Give s(6).
-5
Let v = 11 - 8. Let l(u) = -3 - v + 7 + u. Let f(t) = -t**2 + 7*t - 3. Let p be f(6). What is l(p)?
4
Let m(f) be the second derivative of f**5/20 + 5*f**4/12 + f**3/6 + 7*f**2/2 + f. Let n = -12 - -7. Calculate m(n).
2
Let v(y) be the third derivative of 1/24*y**4 - 2*y**2 + 1/12*y**5 + 0*y + 0 - 1/120*y**6 - 5/6*y**3. Determine v(5).
0
Suppose -h = -1 + 5. Let n = h + 9. Suppose -n*t - 2 = -27. Let l(r) = r**3 - 6*r**2 + 4*r + 2. Determine l(t).
-3
Let o(l) = -l**2 - 6*l + 1. Suppose 0 = 5*t - 8 + 33. What is o(t)?
6
Let z(x) = -x**3 + x**2 - 2*x. Let d(g) = g**2 + 4*g - 3. Let f be d(-5). What is z(f)?
-8
Let l = 3 + -1. Let z(t) = -l + 3*t - 4*t + 0 + 0*t. Let m(v) = 2*v**2 - v - 1. Let w be m(-1). Calculate z(w).
-4
Let v be 1 + 2/(-8)*-4. Let k(z) = 3 - 2*z - 2*z**2 + 9*z**3 + z**3 - 9*z**3. What is k(v)?
-1
Let k = -2 - -11. Let t(u) = u - 9. Let p be t(k). Let y(s) = 0 + s - 5 + 1 + 0. What is y(p)?
-4
Let r(d) = -d**3 + 6*d**2 - 3. Let l(u) = u**3 + u. Let t(a) = -2*l(a) - r(a). Let b(f) = -f**3 - 6*f**2 + 9*f + 8. Let h be b(-7). Determine t(h).
15
Suppose -2*g - p - p + 2 = 0, 5*g = -p + 17. Let m(f) = -3*f + 1. Give m(g).
-11
Let j = 35 + -31. Let i(w) = -2*w + 4. Give i(j).
-4
Let u(c) = -c**3 + c**2 - c + 15. Let b(v) = -v**3 + 3*v**2 + v - 3. Let o be b(3). Determine u(o).
15
Let k(q) = -8 - 2*q + 11*q**2 - 13*q**2 - q**3 + 8*q**2. Determine k(6).
-20
Suppose -3*i - 2*i = 0. Let w(a) be the third derivative of i*a - 2*a**2 + 0 + 1/60*a**5 - 1/8*a**4 - 2/3*a**3. Give w(4).
0
Suppose 0 = t + 3*t + 8. Let q(b) = -b**3 + 3*b + 1. Let v be q(t). Let p(x) = x**3 - 2*x**2 + x - 3. What is p(v)?
9
Let h = -13 - -10. Let r(a) = -3*a**2 - 4*a - 1. Calculate r(h).
-16
Let b be (-38)/(-9) + (-2)/9. Let m(w) be the third derivative of w**5/60 - 5*w**4/24 - w**3/6 + 14*w**2. Determine m(b).
-5
Let z(l) be the first derivative of 2*l - 6*l + 3 + l + l**2. Let u(s) = s - 2. Let t(i) = -5*u(i) + 3*z(i). Give t(-4).
-3
Let l(y) = -2*y - 16. Let v be l(-11). Let g(m) = -m**3 + 7*m**2 - 7*m - 2. Calculate g(v).
-8
Let d(h) = -h - 1. Let o = 7 + -5. Suppose -2*p + 3*q - 6 = p, -o*q - 8 = p. Calculate d(p).
3
Suppose -20 = -5*b, 5*g - 24 = 4*g - 5*b. Let c(s) = -s**2 + 7*s + 1. Give c(g).
13
Let x = 2 - 0. Suppose -19 - 1 = 5*i + t, -19 = 3*i + x*t. Let c(o) = -o**2. Let y(d) = -4*d**2 + 2*d + 2. Let k(f) = 5*c(f) - y(f). Calculate k(i).
-5
Let x(s) = 18*s + 3. Let n = -1 - -4. Let p(r) = -37*r - 6. Let q(l) = n*p(l) + 5*x(l). Let a(k) = -14*k - 2. Let z(h) = -8*a(h) + 5*q(h). What is z(-1)?
-6
Let x(p) = -p**2 + 6*p + 3. Let m be (-1 - 0) + (-2)/(-2). Suppose 2*i - 17 = 5*z, m*i - 3*z + 3 = i. Calculate x(i).
3
Let a(c) = 26*c - 42*c - c**2 + 7 + 22*c. Determine a(6).
7
Let t(h) be the first derivative of h**4/4 + 2*h**3 + 5*h**2/2 + 7*h - 7. Give t(-5).
7
Let y = 2 - -2. Let r = y + -3. Let u(c) = -4*c**2 + c. Give u(r).
-3
Let q(t) = -5*t**2 - 13*t - 1. Let x(d) = 14*d**2 + 38*d + 4. Let y(p) = -11*q(p) - 4*x(p). Suppose 0*s = -3*s + 4*o - 2, 2*s = 4*o + 4. Calculate y(s).
13
Suppose i + 0*i = 0. Let u(a) = 3*a - 3. Let b(f) = -13*f + 11. Let p(s) = -2*b(s) - 9*u(s). Calculate p(i).
5
Suppose 0 = -5*r + 6*r - 6. Let d(h) be the second derivative of -h**4/24 + 2*h**3/3 + h**2 + 3*h. Let s(b) be the first derivative of d(b). What is s(r)?
-2
Let h(l) = 7*l**3 + 2*l + 1. Let k be 7 + -3 - -2 - -3. Let p = k + -10. Give h(p).
-8
Let h(y) be the second derivative of y**3/2 + 3*y**2/2 + 2*y. Determine h(-3).
-6
Suppose -4*i + 48 = 4*u, -u + 35 = 3*i + 9. Let r(w) = -w + 10. Let o be r(i). Let g(p) = -o*p - p + p - 3 + p**2. What is g(3)?
-3
Let s(z) be the third derivative of z**6/120 - z**5/12 - z**4/24 + z**3 + 2*z**2. Calculate s(5).
1
Let p(x) be the third derivative of 0 - 4*x**2 + 0*x + 1/24*x**4 - 1/3*x**3. Suppose -5*s + 2 = 27. Determine p(s).
-7
Suppose 0 = -3*c - 9 - 0. Let q(w) = -2*w + 3. Calculate q(c).
9
Let r(k) = -7 - 2*k**3 + 3*k**2 + 5 + 5*k + k**3. Suppose -4*j = -10 - 6. Determine r(j).
2
Let y(a) = 6*a**3 + 11*a**2 - 14*a - 15. Let o(x) = x**3 + x**2 - x - 1. Let r(f) = 5*o(f) - y(f). Give r(-7).
-4
Let w(x) = -6*x**2 + 9*x + 2. Let b(m) = 5*m**2 - 8*m - 2. Let j(a) = 5*b(a) + 4*w(a). Determine j(6).
10
Let o = 0 - -1. Let g(f) = -2*f**3 - 6*f**3 - 2*f + f. Determine g(o).
-9
Let x(v) be the third derivative of v**6/120 + v**5/10 + 5*v**4/24 - v**3/3 - 5*v**2. Calculate x(-5).
-2
Let m be 3*4/(8/6). Suppose 3*i = 3*h + 24, m = -5*h - 3*i - 15. Let s(z) = -2*z - 9. Determine s(h).
3
Let o(b) = b**2 + 6*b + | {
"pile_set_name": "DM Mathematics"
} |
vative of 6*a**3*k**2 - 3965*a**3*k - 72*a**2*k + 3*a**2 - 6685815*a*k**5 wrt k.
12*a**3 - 133716300*a*k**3
What is the second derivative of 8406*f**2*k**2 + 3111*f**2*k - 2*f**2 + f*k**2 + 574*f*k - f - 341*k**2 + 1 wrt k?
16812*f**2 + 2*f - 682
What is the third derivative of -2552*r**3*x**3 - 6679*r**3 - 299078*r**2 + x**3 - 7*x wrt r?
-15312*x**3 - 40074
Find the second derivative of -11*a**2*v**2 + 18282*a**2 - 199211*a*v**2 + 39*a*v + 2*v**2 + v wrt v.
-22*a**2 - 398422*a + 4
Find the third derivative of 2519073*s**3*w**2 + 30*s**2*w**2 + 63870*w**2 wrt s.
15114438*w**2
Find the third derivative of -1280006119*x**3 - 4122758*x**2 - 65.
-7680036714
What is the derivative of -k**2*r - 3*k**2 + 2*k*r - 5486726*k - 3155672*r + 6 wrt k?
-2*k*r - 6*k + 2*r - 5486726
What is the second derivative of s**3 - 321124290*s**2 - 9203*s + 5489?
6*s - 642248580
What is the derivative of 5263*w**2 + 33*w + 106849407?
10526*w + 33
Differentiate -1023*z**3 + 244*z**2 - 5*z - 1315044 with respect to z.
-3069*z**2 + 488*z - 5
What is the third derivative of 827228431*b**3 - 140858380*b**2?
4963370586
What is the third derivative of -439632810*g**5 + 62062*g**2 - 14*g - 12?
-26377968600*g**2
Find the third derivative of -125874379*o**4 + 454*o**2 - 3*o - 7448.
-3020985096*o
Find the third derivative of -170304*z**6 + 430*z**3 + 9*z**2 + 8827011 wrt z.
-20436480*z**3 + 2580
Find the third derivative of -918560*d**4 - 2*d**2 - 1604795*d + 2 wrt d.
-22045440*d
Find the second derivative of 1043281*a*k**2 - 200*a*k - a - k - 606 wrt k.
2086562*a
Differentiate 3855876*x**3 - 16421608 wrt x.
11567628*x**2
Find the second derivative of 5*z**4 - 109204*z**2 + 10223312*z wrt z.
60*z**2 - 218408
Find the third derivative of -29*i**4*s - 7*i**4 - 11*i**3*s + 14*i**3 - 4*i**2*s - 3098816*s wrt i.
-696*i*s - 168*i - 66*s + 84
Find the first derivative of 13999484*y**3 + 1003402435.
41998452*y**2
What is the first derivative of -18521*c**4 + 385*c**3 + 6506937?
-74084*c**3 + 1155*c**2
Differentiate 310058333*m**3 + 552263420.
930174999*m**2
Find the third derivative of -40820779*w**3 + 3110*w**2 + w + 3142.
-244924674
Find the second derivative of 23884440*j**4 - 288013598*j.
286613280*j**2
What is the second derivative of 360800*s*y**2 + 1021*s*y + 2*s + 3*y**2 - 2023*y - 4 wrt y?
721600*s + 6
What is the third derivative of -26917381*y**4 - 16054819*y**2 wrt y?
-646017144*y
Find the third derivative of 8351*l**4*m**3 - 86*l**4*m - 14*l**2*m**3 + 2976*l*m**2 - 9*m**3 wrt l.
200424*l*m**3 - 2064*l*m
Find the second derivative of -37702*u**4 + 57*u**3 + 12094900*u.
-452424*u**2 + 342*u
What is the derivative of -1252*y**4 + 4*y**2 - 69*y - 13610878 wrt y?
-5008*y**3 + 8*y - 69
What is the derivative of -7889*j**2 + 1048*j + 24099712?
-15778*j + 1048
Find the first derivative of -2470136*a + 4550404 wrt a.
-2470136
Differentiate -7*s*w**3 + 8189783*s*w**2 - 14012*w**3 - 2*w**2 - 304*w + 1 with respect to s.
-7*w**3 + 8189783*w**2
What is the second derivative of 57*c**3 - 274647*c**2 - 8*c - 2767610 wrt c?
342*c - 549294
Find the second derivative of 2769*g**2*q**2 - 779*g**2 - 3*g*q**2 + q**2 - 88828822 wrt g.
5538*q**2 - 1558
What is the third derivative of -67468034*c**3 + 67546610*c**2 + 2 wrt c?
-404808204
What is the second derivative of -261648286*a**3 - 69740471*a?
-1569889716*a
Find the third derivative of -184384416*o**4 - 2*o**2 + 8544189*o wrt o.
-4425225984*o
Find the third derivative of -318*c**2*j**3 - 3575*c**2*j**2 - 41085*c*j**3 - 1195*j wrt j.
-1908*c**2 - 246510*c
What is the third derivative of -778*l**5 - 11767*l**3*q**2 + 4297*l**2*q**2 - 1078*l**2 wrt l?
-46680*l**2 - 70602*q**2
What is the second derivative of 11535716*s**5 + 4*s**2 - 3*s + 92540342?
230714320*s**3 + 8
What is the derivative of -3355649*k*q**2 - 441*q**2 + 6*q - 11 wrt k?
-3355649*q**2
What is the first derivative of -75488785*t**3 + 59960699 wrt t?
-226466355*t**2
Find the first derivative of 13378307*i - 11772703.
13378307
Find the second derivative of -124496958*r**5 + 83065467*r.
-2489939160*r**3
What is the second derivative of 15*l**2*u**3 + 140791*l**2 + 13*l*u**3 - l*u - 7*l + 3*u**3 + 4 wrt l?
30*u**3 + 281582
Find the second derivative of -10825562*k**2 - 2*k - 3491200 wrt k.
-21651124
Find the first derivative of 1617959*l**2 + 6203962.
3235918*l
Find the first derivative of -2*p*v**3 - 3*p*v**2 - 4162*p - 62990*v + 256 wrt v.
-6*p*v**2 - 6*p*v - 62990
Find the second derivative of 3029*g**3*p**5 + 19538*g**3*p**2 + 18323712*g**3*p - g**3 - 2*g wrt p.
60580*g**3*p**3 + 39076*g**3
What is the first derivative of 705645115*f**2 + 196655469 wrt f?
1411290230*f
What is the derivative of 337357134*f**2*m - 2448940*m + 2 wrt f?
674714268*f*m
Find the second derivative of 44*n**2*y**2 + 33*n**2*y - n**2 + 6123*n*y**2 + 2*n*y + 2*n + 90*y**2 + 38283*y wrt y.
88*n**2 + 12246*n + 180
What is the second derivative of 21874432*m**2 + 1479209*m + 3?
43748864
What is the second derivative of -166*z**5 + 173977*z**4 + 119*z - 58740 wrt z?
-3320*z**3 + 2087724*z**2
What is the derivative of 170033316*b - 14159074 wrt b?
170033316
Differentiate 2*t**3 + 564*t**2 + 52759*t + 335935465.
6*t**2 + 1128*t + 52759
Find the third derivative of 2*c**5*g + 69*c**3*g**2 - 18346*c**3 - 5351*c**2*g**2 + 10*c**2 + 2*c*g**2 - g**2 - 116 wrt c.
120*c**2*g + 414*g**2 - 110076
What is the third derivative of -10092105*u**5 - 3*u**4 - 3*u**2 + 86597*u + 7 wrt u?
-605526300*u**2 - 72*u
What is the second derivative of 11*r**2*t**3 + 47*r**2*t**2 + 305*r**2*t - 2*r*t**2 + 194486*r*t + t**3 wrt r?
22*t**3 + 94*t**2 + 610*t
What is the second derivative of -7717856*n**3 + 7820850*n wrt n?
-46307136*n
What is the second derivative of 6370466*p**5 + 5409709*p?
127409320*p**3
What is the second derivative of -234*s**3 - 590*s**2 + 22705716*s wrt s?
-1404*s - 1180
Find the first derivative of -1083550*c*o - 10682711*c + 2*o wrt o.
-1083550*c + 2
What is the first derivative of 2*r*u + 199772879*r - 113280627*u wrt r?
2*u + 199772879
Find the third derivative of 3*m**2*v**3 + 3*m**2*v**2 - 20*m**2 + 268841*m*v**3 + 6353*m*v**2 + m*v + 2*v**3 + v**2 wrt v.
18*m**2 + 1613046*m + 12
What is the derivative of -65280746*f**3 - 113058353?
-195842238*f**2
What is the second derivative of -283749276*g**5 - 2820740*g - 8 wrt g?
-5674985520*g**3
What is the derivative of -70094863*z - 50418898?
-70094863
Differentiate -3*p*u**3 + 3856400*p*u + 48116145*p with respect to u.
-9*p*u**2 + 3856400*p
Find the third derivative of -7009370*u**6 + 4*u**5 - 73150251*u**2.
-841124400*u**3 + 240*u**2
What is the derivative of -8573796*c*v + 56*c - 16850 wrt v?
-8573796*c
Differentiate -249226*c**4*u**2 - 40*c**2*u**2 + 2434*u**2 - 23914*u wrt c.
-996904*c**3*u**2 - 80*c*u**2
What is the third derivative of 228*b**4 - 1237*b**3 - 9129733*b**2?
5472*b - 7422
Find the second derivative of -16115699*m**2 + 7320094*m wrt m.
-32231398
What is the first derivative of -9358953*c + 18115545?
-9358953
What is the third derivative of 47970450*h**5 + 2396991*h**2 + 53*h wrt h?
2878227000*h**2
Differentiate -2328*h*s - 17901195*h - 1013*s wrt s.
-2328*h - 1013
Find the second derivative of -66053761*a**2 - 325183327*a wrt a.
-132107522
Find the second derivative of -2*p*u*y**2 + p*u + p*y**2 + 33000*p + 16*u*y**2 + 5*u*y + 5509*y**2 wrt y.
-4*p*u + 2*p + 32*u + 11018
What is the third derivative of 259913*n**4*u - 106*n**4 - 2*n**3 - 3691*n**2*u + 36148*n*u wrt n?
6237912*n*u - 2544*n - 12
Differentiate -5310869*v**2 - 24973274 with respect to v.
-10621738*v
Find the first derivative of -3533784*y**3 - 327315 wrt y.
-10601352*y**2
What is the second derivative of 566*k**5 - k**4 - 15*k**2 + 2583884*k?
11320*k**3 - 12*k**2 - 30
Differentiate -5*c**3*w - 63755*c**3 + 341087*c**2*w + 2*c**2 + 3*c + w + 3 with respect to w.
-5*c**3 + 341087*c**2 + 1
Find the third derivative of 6595472*o**3*r**3 + 647379*o**3*r - 4*r**2 wrt r.
39572832*o**3
Differentiate 294955*p**4 + 814*p + 526317444 wrt p.
1179820*p**3 + 814
What is the second derivative of -10*d**4 + 3274198*d**2 - 3632*d - 7183 wrt d?
-120*d**2 + 6548396
What is the second derivative of 62984796*u**2*v - 2*u*v - 14369918*v - 2 wrt u?
125969592*v
What is the third derivative of 81753*i**3*r**3 | {
"pile_set_name": "DM Mathematics"
} |
mplify (t/(t**2*t))/t**(1/8)*(t**(-1/2))**(24/7)*(t**(2/3)*t*t**(2/7))/((t**(-7)/t)/(t*t*t**(-4/5))) assuming t is positive.
t**(6143/840)
Simplify (s/(s*s**1*s))**41*((s/(s*s**(-2)/s))/s*s)/(s/(s*s**(-1/7)*s))*(s**(-1/2))**(6/11)/((s*s**(-2/7))/s)**(2/65) assuming s is positive.
s**(-392426/5005)
Simplify (s*s**(-16)*s*s**4*s**(-6/11)/(s*s**12))**(2/107) assuming s is positive.
s**(-518/1177)
Simplify r**(2/19)/(r/(r**(-3/34)/r))*r**14*((r/(r**(-3)*r))/r)/r assuming r is positive.
r**(8409/646)
Simplify (((j**(2/5))**(-6/25)*j**(-2/7)/j**(1/3))**(-1/5))**(-2/3) assuming j is positive.
j**(-3754/39375)
Simplify (c**5*c/c**(2/7)*c*(c**1*c)**9)/((c/(c*c**0*c*c))**(-26))**(26/3) assuming c is positive.
c**(-8945/21)
Simplify (p*p*p/(p**(1/3)*p))**(1/7)*(p**(-2/3))**(-39)*(p**(-1)/p)**4*(p**(-2/5)*p)**1 assuming p is positive.
p**(1978/105)
Simplify (((i*i**15*i)/i)**(7/6)*i*i*(i*i**(2/45))/i*i**(-19))**44 assuming i is positive.
i**(3388/45)
Simplify ((u*u**4*u*u*(u/u**(-1/2))/u)/(u/(u**(-2/7)/u))**(-1/9))/(u*u**(-2)*u**(-1/4)*(u*u**0*u)**(-30/7)) assuming u is positive.
u**(4429/252)
Simplify ((((a/(a/(a/(a**(-8)*a))*a))/(a/(a/(a**(2/5)*a))))/(a**3*a)**31)**(-9/10))**(-5/6) assuming a is positive.
a**(-444/5)
Simplify (c*c/(c*c**(-2/7))*(c**(-1/3)/c)/c)**(15/4)*(c**(1/6)/c*c**(-2/9))/(c**(1/4)/c*c**6*c) assuming c is positive.
c**(-2831/252)
Simplify ((k**(-2)/(k*(k*k*(k**(-2/13)/k)/k*k)/k*k))/(k**1)**28)/(k**(-4)*((k**(-1)/k*k)/k)/k*k**(-3/5)/(((k**6/k*k)/k*k)/k)) assuming k is positive.
k**(-1251/65)
Simplify ((y**(2/99)*y/y**(-2/83))**0)**22 assuming y is positive.
1
Simplify (f**(-31)*f**(-35)/f*f)/(f**(-1/11)*f*f**(2/57)) assuming f is positive.
f**(-41974/627)
Simplify ((p/p**6)**(-2/117)*p/p**(-29)*p*p/((p/(p/((p**(1/13)*p)/p)))/p))**42 assuming p is positive.
p**(54068/39)
Simplify ((a*a*a*a**3*a*a**(-9))/(((a/a**(4/17)*a)/a)/((a/a**(-14))/a)))**(-38) assuming a is positive.
a**(-7258/17)
Simplify (((w*((w*w**(-1)/w)/w*w)/w)/w)**(-18))**(2/59)*(w/(w*w/w**(-1)))**24/(w*w**(-2)*w/(w/w**(-5/4))) assuming w is positive.
w**(-10509/236)
Simplify ((v**(2/9)*v/(v*v/((((v*v*v**34)/v)/v)/v)))/(v**(-4/3)/v*v**(7/5)))**(2/45) assuming v is positive.
v**(2984/2025)
Simplify (((i*i**1*i)/i)/(i*i/(((i/i**(-1)*i)/i)/i)))/(i*i**2/i*i*i/i**2*i)*(i*i**3*i/i**(1/7))**(-1/21) assuming i is positive.
i**(-328/147)
Simplify ((t*t/(t/(t*t/(t/(t*t/(t**2/t)))))*t)/((t/(t/(t**(1/6)*t)))/t))/(t**(-1/3)*t/(t**(2/5)/t*t))*(t**(-6)/t**0)**(-24/7) assuming t is positive.
t**(5069/210)
Simplify (((n*(n/(n/(n*n**(-2/45))*n))/n*n)/n*n)/((n/n**(-2/25))/n*n*n)*n**(-32)/(n/n**(1/22)))**(-3/10) assuming n is positive.
n**(168691/16500)
Simplify (((r/r**(-2/3))/(r**3*r))/(r*r*r**1*r*r)**(-2/3))/((r/(((r/(r*r/r**0))/r*r)/r))**(-50)*r*r**(-6)*r**(-1)*r*r) assuming r is positive.
r**155
Simplify ((w*w**(-2/5)*w)**(-23))**36*w*(w*w**7*w)/w*w**(-5)*(w/((w*w*w**(2/3)*w*w*w)/w*w))**(1/36) assuming w is positive.
w**(-356651/270)
Simplify ((w*w**1)**(-1/21)*(w**(-1/3))**(-3/2))/((w/(w*(w*w**6)/w))/w*w*w**(2/19)/w)**(-17) assuming w is positive.
w**(-93211/798)
Simplify (q**(-20)*q**(-2/5)*q)/((q**39*q)/(q*q/((q**(1/5)*q)/q*q*q))) assuming q is positive.
q**(-298/5)
Simplify (h**(3/8)*h*h**(-4)/h)**34*((h**(2/9))**(-8/7))**(-3/5) assuming h is positive.
h**(-51701/420)
Simplify ((m**3/m)**27)**(-14)/((m*(m*m**(-2/3))/m)**(-4/11)*m**(1/8)*m**(2/7)) assuming m is positive.
m**(-1397623/1848)
Simplify (m**(-2/15)*m*(m*(m*m**(-1/8)/m*m)/m)/m)/(m**4/((m*(m/(m**(2/5)*m))/m)/m))*(m*m**0)**(-24)*(m/(m**(1/4)*m))**30 assuming m is positive.
m**(-4339/120)
Simplify ((o**(-1/8)/(o/(o/o**(-4))))/(o**(1/4)*(o**(-6)/o)/o))/((o*o*o**7)/(o**(-1)*o))**(-1/33) assuming o is positive.
o**(1047/88)
Simplify (t*t**(-2/5))**19/(t**(1/3))**(-6/5)*((t/t**(-2))/t**(1/9))/(t/t**(-8)*t**7) assuming t is positive.
t**(-59/45)
Simplify o/o**(1/6)*o/o**(-5/6)*(o**(-4)*o*o)/o*o**(-2/5)/o*(o/(o**(-1/4)*o))**28*o/o**4*o/o**(-1/6) assuming o is positive.
o**(103/30)
Simplify (k**(-16)/k**(12/7))**(-1/40)/((k*k/(k*k**1))**50*(k/k**(-1)*k)**(-3/11)) assuming k is positive.
k**(971/770)
Simplify b*b**5*b**(2/15)*b*b*(((b**(-3/4)*b*b)/b)/b)/b*b**(2/5)*((b**1*b)/b**(-8))/(b**(1/5)/(b*b**(3/7))) assuming b is positive.
b**(1513/84)
Simplify ((j**(2/5))**(-4/15))**(-46)*(j**(-1))**(-7/5)/((j*((j**4*j*j)/j*j*j*j)/j)/(j*j**(2/13))) assuming j is positive.
j**(-526/975)
Simplify (g**(1/13)*g**(-1))**(-50)*(((g*g**(5/4))/g)/g**4)**(-25) assuming g is positive.
g**(5975/52)
Simplify ((u**12/u*u*u**27)/(u/(u*u**7))**(1/42))**30 assuming u is positive.
u**1175
Simplify (((t**0)**(-15)*t*t**7*(t*t**(5/4))/t)**(-10/9))**44 assuming t is positive.
t**(-4070/9)
Simplify (((u**(-1/21)/u*u)/u*(u/u**(-7/3))/u)/(u*u*u**(-1/5)*u*u**(-26)/u))**18 assuming u is positive.
u**(16056/35)
Simplify (((j*(j*j*j*j*j/j**(-2)*j)/j)/j*j)**(6/29))**(-38)*(j**(1/4)*j*((j/(j/(j*j*j**(-2))*j))/j)/j)**2 assuming j is positive.
j**(-3851/58)
Simplify (d**(-1/7)/((d**(5/4)/d)/d*d))/((d**5*d)/d*d*d/(d/d**(-2/13)))*((d**1*d)**(-6/7))**(-1/8) assuming d is positive.
d**(-2193/364)
Simplify ((k*k/k**(1/4))/k**(-5)*k**(-1/5)*k**3*k)/((k/(k/k**(-4))*k)/(k/k**(-4)))**(-33) assuming k is positive.
k**(-5069/20)
Simplify ((r*r*r/(r*r**(2/5)*r)*r*r*r)/(r*r**(-3/5)))**12*(r**(-2/11)*r**(2/7)/r)/(r**(-3)/r*r**(1/4)/r) assuming r is positive.
r**(65071/1540)
Simplify (q**(-2/11)/q**(8/7)*(q/(q/q**2))**(-41))**(-1/63) assuming q is positive.
q**(6416/4851)
Simplify ((s**(-1))**(3/25))**(2/15)/(((s*s**(-3/2))/s*s*(s**(1/2)*s)/s)/(s**(-3)/(s**1/s))) assuming s is positive.
s**(-377/125)
Simplify (r*r**(-2/15)*r**(-1/11)*r**(3/7)/r**(-8))/((r**(-3/11)/r)/r**1)**(3/4) assuming r is positive.
r**(50399/4620)
Simplify (z/(z*z*z**(-15)*z))**(-34)*(z**(-9))**(2/95) assuming z is positive.
z**(-42008/95)
Simplify ((g**(-9)*g**(-1/6)*g*g*g**2*g*g**(-4)*g*g)**37)**33 assuming g is positive.
g**(-15059/2)
Simplify (((g/g**(-6)*g)/g*g)/g*g*g**(-1/4)*g*(g*g**(-5))/g*g*g**2/g)/((g**(2/3)*g*g)**(-3/31))**(-21) assuming g is positive.
g**(41/124)
Simplify (c*c**15*c**(-5)/c*c*c)**(-46)*(c**15*c**(-11))**(1/7) assuming c is positive.
c**(-3860/7)
Simplify (g**(-13)*g/(g*g*g/g**10)*g/(g*g**(7/5))*g*g/((g/(g/g**(12/7)))/g))**25 assuming g is positive.
g**(-895/7)
Simplify (v**(-39)/((v*v**26)/v))/((v/(v**(10/11)*v*v*v))/v**(-3/28)) assuming v is positive.
v**(-19157/308)
Simplify (n**(-1)/(n/((n**4*n)/n))*n**(-4)*n**(1/3)/n)/((n*n**(1/4))**(-1/18)*n**(-3/7)/n**(-2/5)) assuming n is positive.
n**(-6473/2520)
Simplify ((g**18/(g/(g*g/g**(-25))))/(g*(g*(g/(g**10*g))/g)/g*g*g)**11)**(1/12) assuming g is positive.
g**11
Simplify (y*y**(-10)*y*y**(1/11)*y**(1/14)*y/y**13)**39 assuming y is positive.
y**(-119145/154)
Simplify (b**5*b)/(b/b**(-8)*b)*b**(2/3)*(b*b*b/b**(-4/9))/b*(b**(-3)*b)/((b/b**(-4/3))/b)*b/((b*b**(-9)*b)/b)*b*b**(2/15) assuming b is positive.
b**(266/45)
Simplify w**(-6)/(w**(-7)/w)*(w*(w**1/w)/w)**2*((w/(w/(w**(-1/6)*w)))/w*w**(-2/13)*w*w)**(14/5) assuming w is positive.
w**(1307/195)
Simplify ((s**0)**(-16/5)*((s/(s/(s*(s**(-2/21)/s)/s*s)))/s*s)/(s**5*s))/(((s*s**1/s*s)/s**(-4/7))/(s**(2/7))**22) assuming s is positive.
s**(-50/21)
Simplify (z/(z/(z*z**(-2)))*(z/((z**2/z)/z))/z)**(25/3)/((z*z**(-2/7)/z*z)**0*(z*z/((z**(-8)*z)/z)*z)/(z*z**2)) assuming z is positive.
z**(-49/3)
Simplify (v**1/v**(-2/11))/((v/v**(-2/5)*v*v)/v**3)*(v**(2/3)/v)/(v**(-2/3)/v)*v**(-2/7)/(v*v**3) assuming v is positive.
v**(-2507/1155)
Simplify (((b*b/(b**(-2/7)*b))/b)**(35/3)*b**(-16)/(b*b**(-1/3)/b))**(-29) assuming b is positive.
b**(1073/3)
Simplify ((y**7/(y**6/y))/(y**(-4/5)*y/(y/(y**(-5)/y*y*y))))/(y/(y*y/y**4)*y**0)**(-35) assuming y is positive.
y**(559/5)
Simplify (r**(2/13)/(r/((r/r**(-3/8))/r)*r))**0/((r**(-2/7))**(12/7)/(r*r/r**(-2/11)*r**7)) assuming r is positive.
r**(5213/539)
Simplify ((k**13*(k*k**(4/3))/k)/(((k/((k**(-21)*k)/k))/k)/k**(-17)))**(-41) assuming k is positive.
k**(2911/3)
Simplify (((z**(-5)*z*z*z*z*z**(-5/4)*z)**(-11/4))**(-4/5))**29 assuming z is positive.
z**(-319/4)
Simplify (((v**(3/7)*v)/v)**(4/19)/(v**2)**(-1/39))**(-23/5) assuming v is positive.
v**(-16882/25935)
Simplify (x**(4/7)/(x**(1/4)/x)*x**(-8)*x**6)/((x**(-2/9)*x*x)**(-2/17))**(30/13) assuming x is p | {
"pile_set_name": "DM Mathematics"
} |
= -m - m + j*m. Let w(k) = -k + 14 + 0*k - 14. Give y(w(v)).
2*v
Let a(z) = 3*z**2. Let q(u) = 12*u + 4. Let r(b) = -10*b - 3. Let m(k) = -3*q(k) - 4*r(k). What is m(a(v))?
12*v**2
Let y(m) = m**2 + 91 + 4*m**2 - 91. Let p(c) = -7*c**2. What is p(y(q))?
-175*q**4
Let o(w) = -4*w**2 + 9*w - 27. Let j(u) = -u**2 + 2*u - 6. Let x(n) = -9*j(n) + 2*o(n). Let v(z) be the first derivative of z**3/3 + 1. Determine x(v(l)).
l**4
Let s(j) = 0 + 2*j + 3*j + 6. Let o(d) = d. Let i(t) = 2*o(t) + s(t). Let m(p) = -20*p - 17. Let z(h) = -17*i(h) - 6*m(h). Let x(a) = 2*a. Give x(z(w)).
2*w
Let w(b) be the first derivative of -4*b**2 + 3. Let u(j) = -j. Determine u(w(v)).
8*v
Let n(s) = 2. Let h be -1 + 1/(-2 + 1). Let p = h + 4. Let q(l) = l + 3. Let b(x) = p*q(x) - 3*n(x). Let k(f) = -2*f. Give k(b(w)).
-4*w
Let x(y) = 2*y**2. Suppose -t - 3*n + 2 + 6 = 0, -2*n + 12 = 4*t. Let p(i) = 0*i**t + 3*i**2 + 0*i**2 - 4*i**2. Calculate p(x(r)).
-4*r**4
Let h(g) = -189*g. Let d(x) = 5*x**2. Determine h(d(a)).
-945*a**2
Let k(n) = -n. Let b(y) = 57*y**2. What is b(k(t))?
57*t**2
Let o(w) = -95*w**2. Let k(r) = -8*r**2 + 5*r + 5. Let p(x) = -2*x**2 + x + 1. Let z(t) = -k(t) + 5*p(t). Give z(o(m)).
-18050*m**4
Let p(l) be the first derivative of l**5/30 - l**2/2 - 1. Let w(s) be the second derivative of p(s). Let f(c) = 5*c**2 - 8*c**2 + 0*c**2. What is w(f(o))?
18*o**4
Let a(d) = -226*d**2. Let c(j) = 2*j. Determine c(a(y)).
-452*y**2
Suppose -4*r = -2*a - 38, -a = 2*r - 5*r + 31. Let o(v) = r - v**2 - 12. Let l(k) = -k. Calculate o(l(q)).
-q**2
Let w(b) = -b. Let x(u) be the third derivative of 0*u**3 - 2*u**2 + 0 + 0*u + 1/24*u**4. Give w(x(o)).
-o
Let o(c) = 5*c. Let x(y) = -66*y. Let l(t) = -27*o(t) - 2*x(t). Let h(i) = -25*i**2. Calculate h(l(n)).
-225*n**2
Suppose 2*x + 4*r - 24 = 0, 2*x = 7*x - 5*r + 15. Let a(g) = -5*g**2 + g**x + 2*g**2. Let t(f) be the first derivative of 4*f**3/3 - 15. Determine a(t(y)).
-32*y**4
Let g(s) be the third derivative of s**5/60 - 2*s**2. Let r(i) = -7*i. Calculate r(g(q)).
-7*q**2
Let n(h) = -28*h**2 - 2*h. Let q(k) = 3*k - 12. Give n(q(o)).
-252*o**2 + 2010*o - 4008
Let p(h) = 2*h. Let z(s) be the second derivative of -2*s**3 + 5*s. Give z(p(n)).
-24*n
Let x(o) = -6*o**2. Suppose -5*t = -13 - 2. Let c(n) be the first derivative of 0 + 2*n**2 - t*n**2 - 1 - 3. Give x(c(w)).
-24*w**2
Let o(g) = 76*g**2. Let s(f) = -4*f**2. What is s(o(j))?
-23104*j**4
Let l(o) = -2*o. Let k(i) be the second derivative of 4*i + 0 - 1/6*i**3 + 0*i**2. What is l(k(s))?
2*s
Let u(s) = -5*s**2. Let t(z) = -63*z - 24. Let h(x) = 13*x + 5. Let v(w) = -24*h(w) - 5*t(w). Determine u(v(a)).
-45*a**2
Let j(g) = -552*g**2. Let v(t) = -8*t. What is v(j(q))?
4416*q**2
Let k(d) = -540*d. Let q(h) = -12*h. What is q(k(p))?
6480*p
Let p(s) = 2 - 2 + 3*s. Let g(u) be the second derivative of -u**3/3 + 2*u. What is g(p(f))?
-6*f
Let i(z) = -3*z**2. Let p(m) = -6*m - 4. Let s(x) = -13*x - 9. Let v be 1/(((-15)/12)/5). Let f(w) = v*s(w) + 9*p(w). Give i(f(c)).
-12*c**2
Let m(n) be the first derivative of n**3/3 - 21. Let i(r) = 2*r**2 + 2*r - 2. Let f(p) = p + 9*p - p + 8*p**2 - 9. Let w(k) = -4*f(k) + 18*i(k). Give w(m(v)).
4*v**4
Let p(g) = 5*g + 8. Let u(c) = -3*c - 5. Let y(o) = 5*p(o) + 8*u(o). Let h(s) = 21*s. What is y(h(n))?
21*n
Let t(v) = 271*v**2. Let g(m) = -4*m. Determine t(g(a)).
4336*a**2
Suppose -4*l - 2*f = -2, 4*f + 1 = -3*l - 5. Let o(t) = 4*t**2 + t**2 - 4*t**l. Let h(j) = 2*j. What is h(o(q))?
2*q**2
Suppose -27 - 11 = -4*c + 5*l, 3*l = 6. Suppose -3*m + 6 = -c. Let w(v) = 4*v - m + 6. Let i(b) = -b**2. Give w(i(o)).
-4*o**2
Let d(j) = 3*j**2 - 4. Let y(i) = 3*i**2 - 3. Let u(f) = -3*d(f) + 4*y(f). Let x(h) = 4*h**2. Give x(u(s)).
36*s**4
Let g(q) = -4*q**2. Let d(x) be the second derivative of 0*x**2 - 2*x + 1/12*x**4 + 0 + 0*x**3. Give g(d(v)).
-4*v**4
Let g(f) = 17*f**2 + 3*f. Let q(d) = -35*d**2. Give g(q(m)).
20825*m**4 - 105*m**2
Let b(u) = 6*u**2. Let k(m) = -3*m - 5*m + m + 3*m. What is b(k(a))?
96*a**2
Suppose -3*p + 0*p = -6. Let m(d) = -8*d + 8*d - d**p + 4*d**2. Let z(k) = k + 3 - 3. What is z(m(h))?
3*h**2
Let u(c) = -3893*c**2. Let h(d) = -d. What is u(h(z))?
-3893*z**2
Let n(h) = -1022*h + 1. Let o(c) = -9*c**2. Give o(n(j)).
-9400356*j**2 + 18396*j - 9
Let y(z) = -9*z**2 + 4. Let a(n) = n - 8 + 8 - 3*n. Determine y(a(d)).
-36*d**2 + 4
Let p(k) = -k. Let l(z) be the third derivative of -3*z**4/4 + 25*z**2. Determine p(l(b)).
18*b
Let r(c) = 4*c + 5. Let p(l) = 3*l + 4. Let s(w) = 5*p(w) - 4*r(w). Let m be 2/6 + (-15)/(-9). Let g(k) = -2 + m - 2*k. What is g(s(h))?
2*h
Let c(h) = -h**2. Let w(p) = -4*p - 3. Let l(q) = -9*q - 10. Let r(n) = -18*n - 21. Let z(k) = 7*l(k) - 3*r(k). Let t(s) = 7*w(s) - 3*z(s). Give c(t(g)).
-g**2
Let r(j) = -10*j. Let q be (6*(-6)/9)/(-2). Let w(h) = -h + 2*h**2 + q*h - h. What is r(w(g))?
-20*g**2
Let x(l) = -3*l. Let j(s) = 21*s**2. What is j(x(g))?
189*g**2
Let s(w) = 3*w**2. Let o(g) be the first derivative of 2*g**3/3 + 3. Determine o(s(t)).
18*t**4
Let p(i) = 11*i. Let o(j) = -j + 6*j - 2*j. Calculate p(o(x)).
33*x
Let x(v) be the first derivative of 3*v**2/2 + 7. Let n(d) = 9*d. What is x(n(j))?
27*j
Let f(p) = -5*p**2. Let c(g) = -137*g. Determine f(c(q)).
-93845*q**2
Let z(v) = -2*v**2. Let y(f) = f + 2. Let d(m) = 3*m + 9. Let g be 2/(3/3) + 0. Let r(l) = g*d(l) - 9*y(l). Determine r(z(u)).
6*u**2
Let v(k) = 203*k + 34*k**2 - 203*k. Let o(m) = -2*m. Calculate v(o(l)).
136*l**2
Let c(j) = j**2 - 12*j. Let k(h) = 8*h**2. What is c(k(q))?
64*q**4 - 96*q**2
Let p(l) = 4*l**2. Let z(t) = 87*t**2. What is p(z(n))?
30276*n**4
Let w(n) = -149 - 12*n**2 + 149. Let m(t) = 7*t**2. Determine w(m(l)).
-588*l**4
Let l(t) = 3*t**2. Let r(i) = i**2 + 5*i - 5. Let d = -12 - -22. Let q(k) = k - 1. Let n(x) = d*q(x) - 2*r(x). What is n(l(v))?
-18*v**4
Let k(y) = y. Let p(x) = 3*x**2 + x - 2. Let h be p(-2). Let b(s) = 20*s - h*s + s**2 - 12*s. What is k(b(w))?
w**2
Suppose -5*b - 16 = -3*w, 2*w - 5*b - 18 = -2*w. Let v(j) = -8 - w*j + 8. Let q(u) be the first derivative of u**2/2 + 15. What is q(v(x))?
-2*x
Let w(d) = d**2 + 10*d. Let y(m) = 5*m. What is w(y(b))?
25*b**2 + 50*b
Let c(k) = -4*k**2. Let j(q) = -8571*q. Calculate c(j(y)).
-293848164*y**2
Let i(c) = c**2 + 2. Suppose -t = -5*t + 4*v - 4, -5 = -5*v. Let d be i(t). Let g(n) = -n + d*n + n. Let x(z) = -z. What is x(g(h))?
-2*h
Let k(q) = -5*q + 2*q**2 + 5*q. Let z(g) = -17*g**2 + 12*g**2 + 4*g**2. Calculate k(z(v)).
2*v**4
Let l(b) = 166*b. Let v(w) = 10*w. Calculate l(v(o)).
1660*o
Let o(m) = -4*m**2 - 2*m. Let l(z) = -4*z. Calculate o(l(x)).
-64*x**2 + 8*x
Let i(y) = y**2. Let k(r) be the second derivative of -1/4*r**4 + 0 + 0*r**2 + 0*r**3 - 2*r. Calculate k(i(v)).
-3*v**4
Let a(n) = 8*n**2. Let i(l) = 16*l. Give i(a(q)).
128*q**2
Let g(q) = -q**2 + 246. Let l(u) = -13*u. Determine g(l(m)).
-169*m**2 + 246
Let n(g) = -g + 1. Let f(s) = s**2 - s + 1. Let i(q) = -f(q) + n(q). Let d(c) = 11*c**2. Give i(d(x)).
-121*x**4
Let c(t) be the second derivative of -t**3/6 + 3*t. Let g(n) = -5*n - 6. Calculate g(c(k)).
5*k - 6
Let m(q) = -8*q. Let v(i) = 4*i + 2*i - 3*i - 2*i. Calculate v(m(a)).
-8*a
Let g(b) = 4*b. Let c(k) = -1. Let o(u) = -4*u - 4. Let h(a) = 4*c(a) - o(a). Give g(h(z)).
16*z
Let b(n) = 1 - 1 - n + 0. Suppose -11 - 14 = -3*r + 2*s, 2*s - 15 = -5*r. Let c(i) = 0*i + 4*i - r*i + 5*i. Determine c(b(d)).
-4*d
Let a(v) = -3*v. Let s(o) = -148*o. Calculate a(s(y)).
444*y
Let a(p) = 394*p. Let c(x) = x**2. What is a(c(z))?
394*z**2
Let o(v) = 4*v. Let z(b) be the first derivative of 1/2*b**2 + 0*b + 4. What is o(z(k))?
4*k
Let i(h) = 15 - 6 + 4*h**2 - 9. Let p(f) = 4*f. Determine p(i(w)).
16*w**2
Let f(a) = -3 + 3 + 10*a - 4*a. Let d(l) = -3*l**2. Give d(f(w)).
-108*w**2
Let q be (-3)/6*(-7 - -1). Let u(l) = -q*l - 3*l + 5*l. Let n(r) = -4*r**2 - 4*r**2 + 6*r**2. Calculate n(u(w)).
-2*w**2
Let f(h) = 19*h - 253. Let x(o) = -2*o**2. Calculate x(f(m)).
-722*m**2 + 19228*m - 128018
Let x(y) = -y. Let z(p) = -2*p. Let j be z(-3). Let h(c) = j*c + 10*c + 0*c - 22*c. Determine h(x(l)).
6*l
Let u(g) be the third derivative of g**5/30 - g**3/2 + 2*g**2. Let r(n) be the first derivative of u(n). Let s(w) = w**2. What is r(s(h))?
4*h**2
Let k(c) = 0*c + | {
"pile_set_name": "DM Mathematics"
} |
, 41, 47797
List the prime factors of 5618494.
2, 7, 401321
What are the prime factors of 3396979?
3396979
List the prime factors of 4025693.
7, 29, 2833
What are the prime factors of 50986?
2, 13, 37, 53
List the prime factors of 1550388.
2, 3, 7, 18457
What are the prime factors of 471937?
17, 23, 71
What are the prime factors of 711784?
2, 193, 461
What are the prime factors of 442280?
2, 5, 11057
What are the prime factors of 1053283?
7, 11, 13679
What are the prime factors of 1053649?
37, 28477
What are the prime factors of 4974422?
2, 2487211
List the prime factors of 24781875.
3, 5, 13217
List the prime factors of 5446606.
2, 11, 29, 8537
What are the prime factors of 4662932?
2, 67, 127, 137
List the prime factors of 1435686.
2, 3, 7, 34183
List the prime factors of 8097414.
2, 3, 13, 103813
What are the prime factors of 780058?
2, 263, 1483
List the prime factors of 972211.
19, 51169
What are the prime factors of 1261598?
2, 13, 48523
List the prime factors of 216750.
2, 3, 5, 17
What are the prime factors of 223536?
2, 3, 4657
What are the prime factors of 367919?
127, 2897
List the prime factors of 418938.
2, 3, 13, 41, 131
List the prime factors of 22349437.
11, 2031767
What are the prime factors of 1282738?
2, 673, 953
What are the prime factors of 37943026?
2, 11, 1724683
What are the prime factors of 178767?
3, 2207
List the prime factors of 48280.
2, 5, 17, 71
List the prime factors of 2978262.
2, 3, 7, 7879
List the prime factors of 21238.
2, 7, 37, 41
What are the prime factors of 892972?
2, 223243
List the prime factors of 75383.
7, 11, 89
What are the prime factors of 8656122?
2, 3, 677, 2131
List the prime factors of 4404871.
61, 72211
List the prime factors of 2212266.
2, 3, 7, 52673
List the prime factors of 8401468.
2, 17, 123551
List the prime factors of 118317.
3, 39439
List the prime factors of 2451420.
2, 3, 5, 13619
What are the prime factors of 67086?
2, 3, 3727
List the prime factors of 72026.
2, 36013
List the prime factors of 354337.
354337
List the prime factors of 1758267.
3, 7, 443
List the prime factors of 228206.
2, 11, 23, 41
List the prime factors of 418103.
7, 59729
What are the prime factors of 2246014?
2, 71, 15817
What are the prime factors of 230040?
2, 3, 5, 71
What are the prime factors of 1151060?
2, 5, 67, 859
List the prime factors of 753406.
2, 17, 22159
List the prime factors of 3207820.
2, 5, 7, 11, 2083
List the prime factors of 2058012.
2, 3, 11, 5197
List the prime factors of 8409659.
163, 51593
List the prime factors of 620202.
2, 3, 11, 9397
What are the prime factors of 6687288?
2, 3, 131, 709
List the prime factors of 298426.
2, 149213
List the prime factors of 53283.
3, 17761
What are the prime factors of 255257?
47, 5431
What are the prime factors of 2137594?
2, 919, 1163
List the prime factors of 19159072.
2, 598721
List the prime factors of 30841.
30841
What are the prime factors of 2058000?
2, 3, 5, 7
What are the prime factors of 17544133?
17544133
What are the prime factors of 9250899?
3, 7, 23, 107, 179
List the prime factors of 8599232.
2, 134363
What are the prime factors of 570367?
7, 17, 4793
What are the prime factors of 221928?
2, 3, 7, 1321
What are the prime factors of 5091889?
11, 462899
List the prime factors of 12557749.
12557749
What are the prime factors of 739059?
3, 23, 10711
List the prime factors of 10416726.
2, 3, 53, 61, 179
List the prime factors of 622667.
41, 15187
What are the prime factors of 1782480?
2, 3, 5, 7, 1061
List the prime factors of 97927.
97927
List the prime factors of 22473388.
2, 7, 17, 31, 1523
What are the prime factors of 479656?
2, 59957
What are the prime factors of 14376836?
2, 919, 3911
What are the prime factors of 65136?
2, 3, 23, 59
What are the prime factors of 1346809?
41, 107, 307
List the prime factors of 527824.
2, 11, 2999
What are the prime factors of 19055444?
2, 37, 199, 647
What are the prime factors of 33259193?
11, 3023563
What are the prime factors of 11544?
2, 3, 13, 37
What are the prime factors of 241573?
37, 6529
List the prime factors of 4898475.
3, 5, 41, 59
List the prime factors of 5780336.
2, 361271
What are the prime factors of 37624689?
3, 17, 81971
What are the prime factors of 974894?
2, 487447
List the prime factors of 1231221.
3, 97, 4231
List the prime factors of 159751.
107, 1493
What are the prime factors of 65159?
23, 2833
What are the prime factors of 7756754?
2, 37, 2833
List the prime factors of 1228483.
19, 41, 83
What are the prime factors of 28950490?
2, 5, 17, 19, 8963
List the prime factors of 1473774.
2, 3, 245629
What are the prime factors of 7312421?
37, 257, 769
List the prime factors of 2731181.
23, 118747
List the prime factors of 56321.
17, 3313
What are the prime factors of 20109336?
2, 3, 13, 64453
List the prime factors of 538533.
3, 53, 1129
What are the prime factors of 45366?
2, 3, 7561
What are the prime factors of 1689944?
2, 61, 3463
List the prime factors of 10726960.
2, 5, 134087
List the prime factors of 393182.
2, 29, 6779
What are the prime factors of 7942886?
2, 7, 199, 2851
List the prime factors of 1158695.
5, 29, 61, 131
List the prime factors of 661958.
2, 11, 30089
What are the prime factors of 20141417?
20141417
List the prime factors of 3141345.
3, 5, 17, 97, 127
List the prime factors of 958663.
23, 41681
List the prime factors of 22604.
2, 5651
What are the prime factors of 2903419?
2903419
What are the prime factors of 53461?
193, 277
What are the prime factors of 1209125?
5, 17, 569
List the prime factors of 299053.
299053
List the prime factors of 16484317.
149, 317, 349
What are the prime factors of 181876?
2, 41, 1109
What are the prime factors of 12772852?
2, 3193213
What are the prime factors of 231200?
2, 5, 17
What are the prime factors of 428862?
2, 3, 7, 10211
List the prime factors of 312665.
5, 62533
List the prime factors of 6221665.
5, 1244333
List the prime factors of 3214028.
2, 71, 11317
List the prime factors of 820929.
3, 273643
What are the prime factors of 1371645?
3, 5, 11, 17, 163
List the prime factors of 34451.
47, 733
What are the prime factors of 2920799?
7, 41, 10177
What are the prime factors of 323153?
17, 19009
List the prime factors of 1429362.
2, 3, 11, 7219
What are the prime factors of 5921652?
2, 3, 11, 113, 397
List the prime factors of 184757.
47, 3931
What are the prime factors of 1256630?
2, 5, 53, 2371
List the prime factors of 2246076.
2, 3, 7, 2971
List the prime factors of 13568998.
2, 6784499
List the prime factors of 1062349.
1062349
What are the prime factors of 3484241?
107, 32563
List the prime factors of 89306.
2, 7, 6379
List the prime factors of 547794.
2, 3, 13, 2341
List the prime factors of 505975.
5, 37, 547
What are the prime factors of 61653?
3, 20551
What are the prime factors of 483763?
7, 69109
List the prime factors of 1258245.
3, 5, 27961
List the prime factors of 783805.
5, 11, 14251
List the prime factors of 155799.
3, 7, 2473
What are the prime factors of 400164?
2, 3, 33347
What are the prime factors of 1604849?
61, 26309
What are the prime factors of 603271?
103, 5857
List the prime factors of 75519.
3, 2797
What are the prime factors of 578548?
2, 53, 2729
What are the prime factors of 11308625?
5, 90469
List the prime factors of 12631859.
89, 141931
What are the prime factors of 8327317?
1277, 6521
List the prime factors of 4326352.
2, 59, 4583
List the prime factors of 997254.
2, 3, 17, 3259
What are the prime factors of 997816?
2, 37, 3371
List the prime factors of 1063768.
2, 132971
What are the prime factors of 431033?
41, 10513
What are the prime factors of 12403016?
2, 1550377
List the prime factors of 6341829.
3, 13, 162611
List the prime factors of 7703590.
2, 5, 770359
What are the prime factors of 154820?
2, 5, 7741
What are the prime factors of 1514340?
2, 3, 5, 47, 179
What are the prime factors of 1875304?
2, 17, 13789
What are the prime factors of 117058?
2, 107, 547
List the prime factors of 760201.
13, 58477
List the prime factors of 3261155.
5, 239, 2729
List the prime factors of 1202354.
2, 47, 12791
What are the prime factors of 17042176?
2, 66571
What are the prime factors of 51196?
2, 12799
What are the prime factors of 1331933?
17, 47, 1667
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
-2/3, -1/2, q, 0.2
Let s be (3/5*5/2)/(-3). Sort 1/4, 0.84, s in decreasing order.
0.84, 1/4, s
Let f = 0.0462 - 0.0462. Let w = 0.4 - -0.5. Suppose -2*v + 4 = -4*v. Put v, f, w in descending order.
w, f, v
Let o = 31 - 30. Let w be o - 2/(-44)*-26. Put w, 4, -2 in increasing order.
-2, w, 4
Let y(v) = v**3 + 6*v**2 + 5*v + 2. Let n be y(-5). Let o = 1264 + -1268. Sort n, 5, o in decreasing order.
5, n, o
Suppose 0 = -14*c + 3209 - 3153. Put -2/5, 6.8, c in descending order.
6.8, c, -2/5
Let z = -0.3 - -0.1. Let m = 18 - 292. Let h = -2195/8 - m. Put h, 0, z in increasing order.
h, z, 0
Let p be (4 - 42/12) + 69/2. Suppose -p*c + 9 = -38*c. Let v be (-2 - -1)*(-1 + 0). Sort v, c, -17 in ascending order.
-17, c, v
Suppose 4*t + 5*a + 39 - 2 = 0, 5*t = -4*a - 35. Sort t, 2, -15, 4.
-15, t, 2, 4
Suppose d + 5 - 14 = 0. Let m be 6/(2*d/6). Let x(k) = k**2 - 7*k + 1. Let y be x(6). Sort 10, y, m.
y, m, 10
Suppose 36 = -3*h + 60. Sort h, 2, -4 in descending order.
h, 2, -4
Let i(r) = r**3 + 6*r**2 + 4*r - 1. Let n be i(-5). Let h = n + -4. Sort h, 1, -6 in increasing order.
-6, h, 1
Let v be (-414)/66*6/(-18). Put v, -4, 0.4 in increasing order.
-4, 0.4, v
Let s = 501 + -561. Sort s, -4, -2 in ascending order.
s, -4, -2
Suppose -217*n = -201*n. Let j be (-2)/(-3)*(-3)/2. Sort j, 6, n in increasing order.
j, n, 6
Suppose -2*a - 8 = -3*y, -28 + 26 = -y + a. Sort y, 1, -6.
-6, 1, y
Let u(n) = n + 9. Let v be u(-4). Suppose -12 + 2 = -5*s. Suppose -4*k = -3*d - 15, d = -7*k + s*k - 5. Sort d, -11, v.
-11, d, v
Suppose 3*t = 5*f - 29, -2*f = -t - t - 14. Suppose 0 = b - 4*z - f, -4*b + z - 15 + 1 = 0. Let w be b/18 + 86/(-18). Sort -2, w, 0 in decreasing order.
0, -2, w
Let w = 2055 + -18497/9. Suppose -4*z - 2*m = -5 + 3, -5 = 5*z + 5*m. Sort 9, w, z, -3.
-3, w, z, 9
Let d be (-1)/(1 + (-12)/15). Suppose 0 = -40*n + 43*n - 3. Put 2, -1, d, n in ascending order.
d, -1, n, 2
Suppose 147 = 3*f + 171. Let w(h) = -h**3 + 9*h**2 - 9*h + 11. Let m be w(8). Sort -2, m, f in descending order.
m, -2, f
Let k = 25 - 28. Put -10, k, -2 in decreasing order.
-2, k, -10
Suppose 142*f + 80 = 158*f. Sort f, -4, -95.
-95, -4, f
Suppose 0 = 5*c + 2*t + 16, 3*c - 3*t = -18 - 0. Let p = -56 + 56.46. Let y = p + -0.36. Sort c, -0.4, y in ascending order.
c, -0.4, y
Let u be (-14*(-19)/798)/((-1)/3). Let w(x) = x + 2. Let m be w(-6). Put -7, m, u, 1 in descending order.
1, u, m, -7
Let q = 1792 + -1797. Let p = 4.13 - -0.07. Let z = p + -0.2. Sort z, q, -2 in increasing order.
q, -2, z
Let m(n) = -4*n + n - 35 - 5 + 7. Let f be m(-11). Sort f, -1, -8, -2 in ascending order.
-8, -2, -1, f
Let s = -0.3 + 1.3. Let f = 484 + -3389/7. Put s, -3/7, f in descending order.
s, f, -3/7
Let s = 1188.6 - 1095. Let f = 94 - s. Sort 1/8, f, -0.09, -0.3 in decreasing order.
f, 1/8, -0.09, -0.3
Let l = -0.41 + 0.01. Suppose 5*t + 588 = 2168. Let y = 2848/9 - t. Put y, 2, l in increasing order.
l, y, 2
Suppose -5*w - 11 = -3*g, -3*g = 3*w - 0*g + 21. Let c = 78 - 66. Suppose -4*n + 7*b - c = 3*b, 11 = 3*n + b. Sort w, n, 3.
w, n, 3
Let k = -324 - -971/3. Put -1/8, -3/4, k, 22 in descending order.
22, -1/8, k, -3/4
Let q(a) = 0*a**2 + 4 - 3*a**2 - 3*a + 7*a**2. Let j be q(1). Let r be 4/(-6)*(-6)/4. Sort j, r, -3 in increasing order.
-3, r, j
Let x be (-5*3/(-90))/((-2)/(-8)). Put -2/11, x, 1 in descending order.
1, x, -2/11
Let i = -1118 + 1118. Put -5, 13, -1, i in ascending order.
-5, -1, i, 13
Let v be 3/(-1*2/2). Let l(x) = x**3 + 5*x**2 + x - 4. Let a be l(-4). Suppose -u - 3*u = -a. Sort v, -1, u in descending order.
u, -1, v
Suppose 0 = 5*a - 43 + 188. Let n = -30 - a. Sort 6, 1, n.
n, 1, 6
Suppose -k = -2*x + 8, -2*x + 30 = x + 3*k. Suppose 0 = -2*u, 0 = -3*q - 2*u + 5*u - 9. Let j = x + q. Sort j, -2/7, 2 in decreasing order.
j, 2, -2/7
Let l be 15/(-21) - (-6)/(-21). Let u be ((-21)/(-14))/((-18)/(-4))*3. Suppose -12 = j - 5*j. Put j, u, l in decreasing order.
j, u, l
Let w = 0.2 - 0.1. Let m = w - 0.4. Let x = 173/3 + -1393/24. Sort m, x, 1/4 in ascending order.
x, m, 1/4
Let k be (-1)/2 - (-10)/8. Let o = -6 - -4. Let j = -137/54 - -1/27. Put o, k, j in descending order.
k, o, j
Let n(i) = 125*i - 1. Let g be n(2). Let d = -3733/15 + g. Let k = 1.96 - -0.04. Sort k, d, 0.1 in ascending order.
0.1, d, k
Let f(i) = -5*i - 160. Let d be f(-32). Sort d, -4, 1, 30.
-4, d, 1, 30
Let o = -36 + 31. Suppose 5*w = 10*w - 30. Sort -3, w, o in descending order.
w, -3, o
Let n(b) = -b**2 - 9*b - 15. Let w be n(-4). Suppose 4*q - 10 = w*l - 0*l, 3*q + 5*l + 10 = 0. Put -2, q, 4, 3 in increasing order.
-2, q, 3, 4
Let l = 0.02 - 18.02. Let m be ((-40)/140 - (1 - 3)) + -2. Sort m, -0.4, l in decreasing order.
m, -0.4, l
Let q = -831.98 + 832. Sort 3/2, -1/3, q.
-1/3, q, 3/2
Let t(w) = -w**3 + 10*w**2 + 2*w + 101. Let a be t(11). Put a, -2, 7, -1 in increasing order.
-2, -1, a, 7
Suppose -8*s - 3*s - 165 = 0. Let h be 0/(2*(s/2)/5). Sort h, -17, 2.
-17, h, 2
Let d = -0.074 + 1.074. Put 0, -0.4, -0.2, d in decreasing order.
d, 0, -0.2, -0.4
Let s be (4/6)/(10/(-6)). Let r be 5/(-6)*-3*-2. Let x be 2/4*r/2. Put x, s, 1 in decreasing order.
1, s, x
Let p = -6.17 + 0.17. Let n = p + 5.99. Let z = n + -0.09. Put -2/7, z, 1/5 in decreasing order.
1/5, z, -2/7
Let y be ((-4)/(-60)*3)/(3/15). Sort 3, 0.061, y.
0.061, y, 3
Suppose -8*n + 12 = -12*n. Let v = -12 - -14. Sort -5, n, v in increasing order.
-5, n, v
Let c = 7 - 7. Let u = 7 - c. Let j be -4 + ((-2)/9 - (-585)/81). Sort j, 5, u in increasing order.
j, 5, u
Let p be 7070/(-21)*(-3 + 6). Sort 3, 2, p in decreasing order.
3, 2, p
Let d = -107 - -126. Sort 4, d, -4.
-4, 4, d
Let l = -28 - -27. Let f be l - 2 - 4/4. Sort f, -5, -2 in decreasing order.
-2, f, -5
Let u be 3*1/((-3)/2). Let w = -2069 - -2074. Sort w, -4, u.
-4, u, w
Let r = 572/17 + -2911/85. Let z = 3 + -6. Put -0.1, -0.3, r, z in decreasing order.
-0.1, -0.3, r, z
Let k = -1987 + 1991. Put -4, 5, k, 0 in ascending order.
-4, 0, k, 5
Let a be (-356)/52 + 2/(-13). Let n(z) = 0 - z**2 - 3*z**3 + 2*z + 2*z**3 - z**2 + 1. Let u be n(-2). Put u, -2, a in descending order.
-2, u, a
Let p = -0.371 - -0.471. Sort 1, p, 1.1, 5.
p, 1, 1.1, 5
Let k(q) = 2*q - 9. Let v(w) = -w**3 + w**2 + 3*w + 1. Suppose -3*y + p + 3 = 6, 0 = -5*y - 2*p - 16. Let d be v(y). Let a be k(d). Sort 0, -1, a.
-1, 0, a
Let m = 0.78 + -44.78. Let u = -46 - m. Put -1, u, 1/5, 1/6 in decreasing order.
1/5, 1/6, -1, u
Suppose 0 = -4*k - 3 + 23. Let d be (-1 + 1)/(k - 4). Sort d, 4, -3 in decreasing order.
4, d, -3
Let z = -79 - -84. Let m = 1.7 + 0.3. Let v = -1 + m. Sort z, v, 3 in decreasing order.
z, 3, v
Let t = 9 - 5. Suppose 0 = -269*p + 263*p + 240. Put t, p, 0 in ascending order.
0, t, p
Suppose y - 61 = -5*i, -4*y - 5*i = -8*y + 169. Sort y, -3, 5 in descending order.
y, 5, -3
Let p = -46 + 51. Sort -3, p, -7, 2.
-7, -3, 2, p
Suppose 5*i + w + w = -149, 0 = i - 2*w + 25. Suppose -176 = 7*k - 211. Put k, i, 2 in descending order.
k, 2, i
Let q(l) = 0*l - 5 + 0*l + l. Let x be q(8). Let h be -1 + ((-18)/21)/(8/(-12)). Sort h, 0.4, x in decreasing order.
x, 0.4, h
Let u be 48/(-40)*(-1)/6. Sort u, -4/17, -4/3, -2/11.
-4/3, -4/17, -2/11, u
Suppose -4*y = -2*t - 30, 21*t - 15 = 26*t. Let j(q) = q**2 + 6*q + 5. Let i be j(-6). Put i, y, 0.1, 3 in decreasing order.
y, i, 3, 0.1
Let d = -0.021 - 25.979. Let o = 25 + d. Sort -2, 3, o.
-2, o, 3
Let v = -586 - -585.89. Sort v, 1, -1/15, 3 in decreasing order.
3, 1, -1/15, v
Suppose 0 = a - 4. Let t(i) = i**2 - 45*i + 492. Let v be t(27). Put 0, 2, v, a in descending order.
v, a, 2, 0
Let u = -8.7 - -9. Let q be -1 + 7/(35/3). Put 2, q, u in ascending order.
q, u, 2
Suppose 0 = 3*o - o - 14. Let x(p) = 22*p - 50. Let g(i) = 9*i - 20. Let z(n) = -12*g(n) + 5*x(n). Let t be z(o). Put 2, t, 1 in increasing order.
1, 2, t
Suppose -3*a - 6 = 0, 3*f = 8*f + 2*a + 4. Sort -4, f, 5, 3 in descending order.
5, 3, f, -4
Let a be 153/(-81) + -3 + (-1)/9. Let o = 0.05 + 0.25. Put a, 0, o in ascending order.
a, 0, o
Let a = 1004.57 + -17.57. Sort 1, 4/7, a in descending order.
a, 1, 4/7
Let f be 4*-15*5/10. Let g = -59/2 - f. Sort -5, g, 3/8 in decreasing order.
g, 3/8, -5
Let x = 1.84 - 1.54. Suppose -2*g = 2*y + 12, 5*g = -3*y - 6 - 18. Let l be 1/3 - (-2)/g. Put x, -3, l in decreasi | {
"pile_set_name": "DM Mathematics"
} |
*s - 10. Let z(o) = -o + 1. Let u(f) = -l(f) + 3*z(f). Let a be u(-9). Suppose 0 = -3*g + a - 1. Solve 4*w - g = 15 for w.
4
Let s = 2565 + -2554. Solve 14 = m + s for m.
3
Let h(g) = g**3 + 4*g**2 - g - 10. Let p be h(-2). Solve -18*i + p*i = -18 for i.
1
Let q = -143 + 146. Solve -w + 8 = -q*w for w.
-4
Suppose -3*r - 3*b - 6 = 0, 3*r + b + 2 = -2*r. Solve 16 = 4*n - r for n.
4
Let k = -1101 - -1148. Solve 2*m + k = 55 for m.
4
Let j(d) = -10*d + 80. Let h be j(8). Solve g + h = -5 for g.
-5
Let y = -502 - -505. Solve -7 - 2 = -y*k for k.
3
Suppose 4*p + 1 = 13. Suppose p*y - 1 = -1. Solve y = -o + 4*o - 12 for o.
4
Suppose 247 - 359 = -8*h. Solve -30 = -h*m + 20*m for m.
-5
Suppose -2*r = -0*r. Suppose -2*v - 3*y = -8*y - 1, -3*y - 3 = r. Let z be 27/6 - (-1)/v. Solve -6*p = -z*p for p.
0
Let y(p) = -10*p + 2. Let n be y(-4). Let z be n*-1*3/(-9). Let u be ((-15)/(-45))/(1/12). Solve -u = 5*v - z for v.
2
Let l(z) = -2*z**2 + 35*z - 33. Let m be l(16). Solve -m = o + 2*o for o.
-5
Let u(p) = -2*p + 32. Let z be ((-8)/2)/((-1)/4). Let h be u(z). Solve h*q - 4*q = -12 for q.
3
Let w be 8/((-1)/(-5) - 0). Suppose -4*b = 2*v - w, -v = -2*b - 7 + 3. Let t be 6/(-21) - (-8)/(112/102). Solve -t*a + 3*a = -v for a.
3
Let m(u) = -u**3 + 9*u**2 + 53*u - 5. Let g be m(-4). Let y(f) be the second derivative of f**3/6 + 9*f**2/2 + f. Let c be y(g). Solve 5*o + 3 + 22 = c for o.
-5
Suppose 0 = -2*v - 2*b + 8, 0 = 39*v - 40*v + b - 4. Solve v = 5*w + 3 - 28 for w.
5
Suppose -156 = 2*y + 3*c, -2*y + y = -3*c + 96. Let t = y + 88. Solve -r - 3*r + t = 0 for r.
1
Let y(t) = 7 + 14*t**2 + 5*t**2 - 7*t**2 + t**3 + 3. Let p be y(-12). Solve -2*a - 3*a = p for a.
-2
Let f be 10/(-65) + (-558)/(-78). Solve -f*w = -8*w + 3 for w.
3
Let t be (-7)/(-21) + (-62)/(-3). Let u be t/(-35) + (-312)/(-20). Solve 3*r + 0*r = -u for r.
-5
Let y be 2*(-1)/(-2)*-2. Let d be (y - (-6)/3)/(-2). Suppose j - 4*j = d. Solve -w - 2*w + 15 = j for w.
5
Let c = 13 + 72. Suppose 0*q + 5*q = -25, 5*x + 2*q = c. Solve -5*h + 4 = x for h.
-3
Suppose p = 3*p - 6. Suppose v = -p*g + 6, 0 = v + 4*v - 4*g - 11. Let i = 3 - -1. Solve -v*z + i*z = 3 for z.
3
Suppose 0 = -5*i + 15, 3*d = -3*i + 99 - 33. Suppose 0 = 3*o + 13 - d. Solve 0 = o*f + 5 - 13 for f.
4
Suppose -4*x - 1 = -h - 11, -4*x = -3*h - 14. Suppose -4*f = -4*z + 2*z - 2, 3*z + x*f = 13. Solve -6 = -0*n + z*n for n.
-2
Let m be -4*(-1 + 0/2). Suppose -m*i + 4 = -4. Let p be i/11 + 152/11. Solve 5*c - p = -4 for c.
2
Suppose -t - 36 = -10*t. Solve t*l = 9*l + 5 for l.
-1
Let x be 0 - (2 - (-28)/(-7)). Let n(s) = -2*s + 7. Let r be n(7). Let b(j) = j + 10. Let l be b(r). Solve x*z - l = -z for z.
1
Suppose 10*g + 301 = 1051. Suppose 3*c - g + 72 = 0. Solve -7 - c = -4*l for l.
2
Suppose 5*z - 89 = 4*q + 158, 4*z = -q + 185. Solve -w - 46 = -z for w.
1
Let g = -4 + 76. Suppose t - g = -3*t. Solve 4*x = -t - 2 for x.
-5
Let c(k) = 2*k - 5. Suppose 0 = -7*j + 4*j + 4*a - 11, -2*j + 21 = 3*a. Let g be c(j). Let s be g/(-2)*(7 - 7). Solve -4*y + 2*y - 8 = s for y.
-4
Let b(n) = -n**3 + 3*n - 1. Let z be b(2). Let v(r) = -r**2 - 10*r + 27. Let f be v(-12). Let o be (2 - -2) + f + z. Solve -m - o*m = 0 for m.
0
Let v(k) = 40*k**2 - 230*k - 7. Let f be v(6). Solve l = -f + 54 for l.
1
Let r be 3*13/((-78)/(-88)). Solve 24*g - 2*g = r for g.
2
Let i(u) = -7 + 0 - 1 + 12*u - 14*u. Let d be i(-5). Let x(h) = -h**2 + 7*h. Let a be x(5). Solve d*p - a = -0*p for p.
5
Let t(c) = c**3 + 25*c**2 - 27*c - 24. Let f be t(-26). Solve 11 = f*m + 1 for m.
5
Suppose 3*j + 2*d - 91 = 6, -3*j + 83 = -5*d. Suppose 5*u - 4 = j. Suppose 4*y - 4 = 2*y. Solve u = -5*s + y for s.
-1
Let h be -8*3/(-24)*-4 - -10. Solve 3*r + 0 = h for r.
2
Suppose 0 = 13*s - 94 - 140. Solve -3*v + 6 = s for v.
-4
Let i be 8 + 2*4/(-2). Suppose -2*k = -i*v - 18, 5*k - 78 + 22 = -v. Solve 4 = -3*t - k for t.
-5
Let u(o) = o**3 - 24*o**2 + 2*o - 48. Let r be u(24). Solve 16*d - 17*d + 1 = r for d.
1
Let t be (-4)/3 - ((-45)/(-27) + -10). Solve 0 = 10*u - t*u - 9 for u.
3
Let c be (-16)/(-24)*((-3)/(-1) + 0). Solve 0*x - c*x = 10 for x.
-5
Let x be ((-4)/(-2))/((-2)/13). Let y(g) = -g**3 + 3*g**2 + 7*g - 7. Let a be y(5). Let m = x - a. Solve -4*u + 1 - m = 0 for u.
-2
Let a(h) be the third derivative of h**5/30 + 5*h**4/24 + 2*h**3/3 + 21*h**2. Let q be a(-2). Solve -8 = 2*s + q*s for s.
-2
Let x(g) = 17 - 5*g**3 + 3 - 13*g - 8*g**2 + 6*g**3 + 2*g. Let o be x(9). Solve -13 = -5*k + o for k.
3
Let t be -1*(-5 - -8)*-1. Solve 2 - 8 = t*c for c.
-2
Let m = 107 - 95. Suppose d - 18 = -4*l, 7 = 5*l + 3*d - m. Solve -8 - 17 = -l*n for n.
5
Let s be (-8)/(0/(-1) + 1). Let w = 2 + s. Let d be (-2)/3 - 16/w. Solve -2*x - 8 = d*x for x.
-2
Suppose 2*w + 2*w - 32 = 4*h, 4*h + 4*w = -32. Let c be h/(-14)*(-42)/(-12). Let z = 6 - c. Solve z*t + 0*t = 0 for t.
0
Suppose 3*d = 2*q - 6, 7*q - 3*q + 2*d = 12. Solve -4*t = -5*t - q for t.
-3
Suppose -2*b + 64 = 5*h, 44 = 3*h + 383*b - 379*b. Solve -9 - 3 = h*q for q.
-1
Let n be (-6 - 30)/(-1 + 2). Let r be 8/n + 88/(-9). Let f be (-1)/2 - 35/r. Solve -16 = z + f*z for z.
-4
Let g = 42 + -50. Let z = g + 11. Solve 8*u = z*u - 20 for u.
-4
Suppose -6 = -0*h + 2*h, 2*q - 13 = 3*h. Suppose -3*i - q*i - 200 = 0. Let k = i + 56. Solve -3*s - s = k for s.
-4
Suppose -46 + 4 = -7*z. Solve -1 = -5*n - z for n.
-1
Suppose -5*f + f = -24. Suppose 2*k + 16 = f*k. Solve 2 = -2*s - k for s.
-3
Let n = 41 - 35. Suppose -34 + 124 = n*y. Solve -u = 4*u + y for u.
-3
Let k be 2*10*(6 - 5). Let l = k + -14. Solve 15 = -3*b + l for b.
-3
Let s(l) = 3*l + 2. Let q be 2*2 - 6*(-4)/(-8). Let t be s(q). Solve 0 = t*y + 5 + 5 for y.
-2
Let d be (-6 - -2 - 0) + 1. Let w = d - 0. Let b be w/(-2) + 1/2. Solve -1 = b*n - 3 for n.
1
Suppose -4*y - 94 = -2*y. Let j = y + 35. Let s(k) = -k - 9. Let b be s(j). Solve g = b*g + 8 for g.
-4
Let r = 106 + -107. Let w be -2 + 4/2 + r + 6. Solve -w*i + 0 = -20 for i.
4
Suppose 3*g = -5*c - 83, 4*g = -5*c - 25 - 54. Let h = 12 + 10. Let u = c + h. Solve 4 = -u*q - q for q.
-1
Suppose -t - 11 = 2*b - 43, -5*t + 182 = -b. Suppose -4 = -2*d - 2*k + 20, 3*d = 4*k + t. Solve 0*i + d = -3*i for i.
-4
Let i(j) be the first derivative of -8*j**2 - 1. Let c be i(-1). Let k = c - 10. Solve l - k = -3 for l.
3
Let h = 51 - 51. Let d(g) = 3*g**3 - g**2 + 12. Let x(i) = 7*i**3 - 3*i**2 + 25. Let s(c) = 5*d(c) - 2*x(c). Let t be s(h). Solve 5*y - 30 = -t for y.
4
Let z(h) be the second derivative of h**4/12 + h**3/6 - 15*h**2 + 16*h. Let b be z(5). Solve b*l - 5 = -5*l for l.
1
Suppose -13*b = -16*b - 21. Let r(n) = -n**2 - 8*n - 4. Let p be r(b). Solve p*q = -q + 16 for q.
4
Suppose 874 = 23*k + 23*k. Solve 0 = -24*u + k*u + 10 for u.
2
Suppose 4*l - 18 = -5*l. Suppose 3*x - l*a = -4, 4*x - 2*a = -0*a - 4. Solve x*m - 8 = 2*m for m.
-4
Suppose -h + 8 = -0*h. Let u be 9 + -13 + 7*8. Let p = u + -48. Solve -p = -3*t + h for t.
4
Suppose 4*z = 5*h + 1 + 3, 0 = 4*h + 4*z - 4. Let b = 388 + -387. Solve h = 5*p + 16 - b for p.
-3
Let m(c) = c**3 - 12*c**2 + 3*c - 28. Let v be m(12). Solve 6*h - 2 = v*h for h.
-1
Suppose 5*w = -2*i + 5, 5 = 5*i + w + 4*w. Suppose 2*n + 2*n = i. Solve n*t + 2*t = -8 for t.
-4
Let r be (-108)/(-48) + 3/4. Let d(v) = 0 + v + 0*v + 2. Let u be d(0). Solve -u*x = -r - 3 for x.
3
Let j(w) = -w**2 + 37*w - 232. Let q be j(29). Solve q = i + i + i for i.
0
Let n = -22 - -14. Let h = n + 10. Solve q + h*q + 3 = 0 for q.
-1
Let r = -2 + 2. Let n = r + 0. Suppose 0 = 26*j - 28*j + 4. Solve -a + j = -n for a.
2
Suppose 0 = -2*w + 8, -5*y - 15 = 5*w - 45. Solve -3*u + y = -u for u.
1
Suppose 3*v - l - 25 - 40 = 0, -48 = -2*v + 3*l. Suppose -4*k = -3*u + 21, 4*u - u - v = -3*k. Solve 5*c - 32 + u = 0 for c.
5
Let h be (-6)/(-8) - (-1)/4. Let c(j) = -4*j - 8. Suppose -1 + 3 = -f. Let i be c(f). Solve v - h + 6 = i for v.
-5
Suppose 0*m - 6 = -m + h, 9 = -m - 4*h. Let a(q) = -q**3 - 6*q**2 - 3*q + 5. Let d be a(-5). Let i be -4 - (d - 4/4). Solve i + m = -5*l for l.
-1
Suppose 4*p - 4 = -26*x + 24*x, -3*x - 2*p = -26. Let y = 3 + -1. Solve l + y*l = x for l.
4
Let t(w) = -3*w. Let o = -55 - -53. Let v be t(o). Solve 5*q = v*q + 3 for q.
-3
Let r = 421 + -418. Solve -1 = -r*s + 2 for s.
1
Suppose 0 = -35*y + 34*y + 5. Solve -y*l = -4 - 1 | {
"pile_set_name": "DM Mathematics"
} |
is the thousands digit of b(23)?
8
Suppose -341*a + 10330414 - 1620034 = -31*a. What is the units digit of a?
8
What is the units digit of ((-695751)/294)/((-3)/6)?
3
Suppose 0 = 2*i - 2*d - 54, -4*d - 36 = -2*i + i. Suppose i + 6 = 5*q. Suppose -q*b + 259 = -599. What is the units digit of b?
3
Suppose 0 = 379*v - 202*v - 196*v + 190950. What is the units digit of v?
0
Let s = 20 + -26. Let l = s + 4. Let r(q) = -19*q**3 + 2*q**2 - 1. What is the tens digit of r(l)?
5
Let x = 12 - 6. Suppose -4*l = -3*c + 10, -5*c + 2*l = x*l - 6. Suppose 2*q - 300 = -0*q + 2*f, -c*q + 304 = -f. What is the units digit of q?
4
Let v be 4/(-3)*9/(-4). Suppose -1230 = -4*l + r, -247 = -v*l - 2*r + 681. Let x = 566 - l. What is the units digit of x?
8
Suppose -24404 = -7*d - 3*j, 7*d + j = 10*d - 10452. What is the units digit of d?
5
Let n(z) = -428*z + 340. What is the units digit of n(-5)?
0
Let f(h) = 202*h + 137. Let i be f(29). Suppose i = -23*r + 28*r. What is the tens digit of r?
9
Let l be 4*(3 + -5 + 3). Let x(j) = 3 - 4 + 4*j + j**2 + 6 + l. What is the units digit of x(4)?
1
Let n(i) = i**2 + 33*i - 66. Let l be n(-35). What is the hundreds digit of (-2*208)/l*63/(-36)?
1
Suppose -101*u + 99*u - 71213 = -3*y, -4*y + 3*u + 94951 = 0. What is the thousands digit of y?
3
Let d(g) = -21*g**2 + 2*g**3 + 8 + 4*g**2 - 8*g - 4 + 1. What is the units digit of d(9)?
4
Let u(y) = -175*y - 294. Suppose 4*j + 4*m + 40 = 0, 10*j - 4*m = 15*j + 51. What is the units digit of u(j)?
1
Let g be 126/8*352/12. Suppose -5*k + g - 1452 = -5*b, k = 4*b - 780. Let j = b + -122. What is the units digit of j?
2
Let y be (-4 + 1393)*(-4)/(-12). Suppose 0 = -i + 4*w + y, w = -3 - 0. Let n = -266 + i. What is the units digit of n?
5
Suppose -w + 6*v + 2 = v, -4*w = -3*v - 8. Let r be 543/((-2)/(-4) + w + -1). Suppose 4*n = 6*n - r. What is the units digit of n?
1
Suppose -2*b + 0*y = -2*y - 24, 4 = b + 3*y. What is the units digit of b/35 + (1 - (-1270)/14)?
2
Suppose -3*o + 95 = -g + 252, -2*o = -3*g + 114. Let d = 58 + o. Suppose 509 = -d*t + 2161. What is the hundreds digit of t?
2
Suppose -4*y + 4*n + 4012 = 0, -2*y - 2833*n + 2828*n + 2020 = 0. What is the tens digit of y?
0
Let h = 171 + -163. Suppose h*d - 6*d - 1158 = 0. What is the units digit of d?
9
What is the units digit of (-29188)/(-5) - (-856)/(-535) - (-1)/1?
7
Let a(c) be the second derivative of -145*c**3/6 + 75*c**2/2 + 97*c. What is the hundreds digit of a(-5)?
8
Let v(a) = -a**2 + 8*a + 41. Let p be v(-23). Let w = -555 - p. What is the hundreds digit of w?
1
Suppose 31*f - 10*f + 12054 = 0. What is the tens digit of 1 + 2 + (-4 - f)?
7
Let n = -35 - -14. Let x be (2/2)/(n/(-105)). Suppose 0 = -x*s + 4*c + 465, -3*s - c + 272 = -2*c. What is the tens digit of s?
8
Suppose l - 4*l = -3*i + 18, 2*i + 5*l = -9. Suppose -4*b = t - 3544, -3*b + 2643 = -0*t - i*t. What is the tens digit of b?
8
Suppose -g + 1 - 10 = -h, h = 3*g + 19. Suppose -2*r + 4 = h*b - 6*r, -b + 3*r + 3 = 0. Suppose -2*p + 0*p + 342 = b. What is the hundreds digit of p?
1
Suppose -6*l = -5*l + n - 5, 2*n = -l + 8. Suppose -3*v = -w - 2*w + 114, 205 = 5*w - l*v. What is the tens digit of w?
4
What is the thousands digit of ((2330*-1)/(-5))/(70/8015)?
3
Let q = 1780 - 3717. Let h = 3386 + q. What is the tens digit of h?
4
What is the ten thousands digit of (-846)/(-1410) + (-236287)/(-5)?
4
Suppose -4*p = 4, -y + 4 + 0 = 2*p. Suppose -77 + 23 = -y*o. What is the units digit of 3/o*2 - 2/(-6)?
1
Let c(t) = 82*t + 219. Let m(z) = -124*z - 328. Let k(b) = 7*c(b) + 5*m(b). What is the tens digit of k(-16)?
2
Let f be ((-12)/5)/(2/(-220)). Let k = 109 - 106. Suppose -k*q + 3*h + 159 = -f, 5*h + 15 = 0. What is the hundreds digit of q?
1
Let l be ((-2)/3)/((-8)/60). Let g = -371 + 374. Suppose -g*v - 210 = -l*v. What is the hundreds digit of v?
1
Suppose 2*g - 4366 = -2*h, -5*h + g + 5016 = -5905. Suppose h = -27*u + 39*u. What is the tens digit of u?
8
Let f be -1*(-14)/(-21)*(-81)/6. Let o = 0 + 1. What is the units digit of o + 115 + (f - 12)?
3
Suppose -7*q + 11 = -17. Suppose 4 = q*g, g + 389 = -4*a + 6*g. What is the tens digit of 113/6 + (-16)/a?
1
Let n = 19 + -17. Suppose -326 = -3*o + 6*o + 2*l, -310 = 3*o - n*l. What is the hundreds digit of -2 - (1 + -1) - o?
1
Let k(j) = 1552*j**3 - 2*j**2 - 10*j + 17. What is the units digit of k(2)?
5
Let i(q) = -12. Let r(w) = w - 37. Let c(x) = 7*i(x) - 2*r(x). Let y be c(-7). Suppose 3*l + 138 = 3*b, l = -y*b - 3*l + 192. What is the tens digit of b?
4
Suppose 0 = 66*k - 53*k - 8658. What is the units digit of k?
6
Suppose -93*l = -21*l - 339192. What is the hundreds digit of l?
7
Let t(d) = -d**3 - 6*d + 15. Suppose 0 = 3*u + u + 4, -u = -5*q - 34. What is the hundreds digit of t(q)?
4
Let o = 10717 - 1643. What is the thousands digit of o?
9
Suppose -y = -5*y + 72. Suppose -13*m = -y*m + 20. Suppose 15*a = m*a + 1430. What is the tens digit of a?
3
Let n(k) = 614*k**2 - 30*k - 108. Let l be n(-6). Suppose 22*u - l = 8*u. What is the thousands digit of u?
1
Let r(s) be the second derivative of -5*s + 1/12*s**4 + 0 - s**2 - 7/6*s**3. What is the hundreds digit of r(-8)?
1
Suppose 24*o - 457474 = -234822 + 252812. What is the tens digit of o?
1
Let a be -502 + 30/(-18)*-3. Let b = 728 + a. What is the units digit of b?
1
Suppose -43 = -4*h + 461. Suppose -578 = -2*c - 4*d, 0 = c - 2*d - h - 163. What is the units digit of c?
9
Suppose 2*x - 160 = 5*c, 190 = 5*x + c - 264. Suppose 9*n = 4*n + x. Let k = 55 - n. What is the units digit of k?
7
Let f(c) = -5*c**3 - 7*c**2 - 8*c - 13. Let p be f(-6). Let t = p - 176. What is the hundreds digit of t?
6
Let i(d) = 9*d - 281. Let m be i(34). What is the units digit of 11/(14 - m) - -22*54?
7
Let u be ((-3)/(-9))/(1/6). Suppose 0 = -m + 5*q - 16, -3*m = -m + u*q - 16. What is the tens digit of m/6 + 130/3?
4
Suppose -2*j + 18 = 3*i - 5*j, -i - 2*j - 9 = 0. What is the units digit of i/((-2)/(-1)) + (-1191)/(-2)?
6
Let m(l) = -l**2 - 15*l - 19. Let n be m(-14). Let x(d) = -36*d + 0 + 8*d**2 - 4*d**2 - 1 + 39*d. What is the units digit of x(n)?
4
Let u(k) = 2*k**2 + 13*k - 27. Let f(y) = y**2 + 6*y - 14. Let z(t) = -5*f(t) + 2*u(t). Let r be z(-7). What is the hundreds digit of r*5/((-50)/(-4)) - -110?
1
Let x(u) = 59*u**2 + 498*u + 66. What is the hundreds digit of x(22)?
5
Suppose -2*b = -5*b + 12. Suppose m = 6*m - 2*y + 52, -b*y = 4*m + 36. Let v = 42 - m. What is the units digit of v?
2
Let b = -26717 - -60240. What is the units digit of b?
3
Let n(l) = 398*l**2 + 136*l - 258. What is the units digit of n(-15)?
2
Let w = 17941 + -75. What is the hundreds digit of w?
8
Let b = -59 + 95. Suppose s = -5*g + 39, 0 = s + 4*g - 2*g - b. What is the units digit of s?
4
Let z = 95420 + -61556. What is the hundreds digit of z?
8
Let u(z) = 2696*z**2 + 65*z - 144. What is the units digit of u(2)?
0
Let n = -807 - -1085. Suppose 112 + n = 2*z. What is the hundreds digit of z?
1
Let m(r) = -160*r + 6. Suppose 7*y + 9 = -5. What is the units digit of m(y)?
6
Let r be (-1 - 0/(-4)) + -2. What is the tens digit of 77 - r*1/(-3)?
7
Let p be (2/4)/((-6)/924). Let y = 414 + p. Suppose 3*d + 2*h = -0*h + y, 3*d + 4*h - 335 = 0. What is the units digit of d?
3
Suppose 0*v = -4*v. Let a(r) be the third derivative of r**4/8 + 2*r**3 - 24*r**2 - r. What is the tens digit of a(v)?
1
Let x = -1431 + 2511. Let o = 2035 - x. What is the tens digit of o?
5
Let s = -110 - -112. Suppose 3*x = -4*k + 1401, 5*x - 205 = -s*k + 492. What is the units digit of k?
1
Let j(a) = -8 + a + 4 - a**2 - 185*a**3 + 3 + 2. What is the units digit of j(-1)?
4
Suppose 2*o = j + 50101, -322623 - 28099 = -14*o + 4*j. What is the ten thousands digit of o?
2
Let f = -968 - -1590. Let r = f - 347. What is the units digit of r?
5
Let m be (2/(-14) - (-30)/(-35))*3. Let a be m + 452/3 + 4/(-6). Let g = -78 + a. What is the tens digit of g?
6
Let u be 264/56 - (-1)/(28/8). Suppose 3*a + 0*g = -2*g + 646, -u*g + 634 = 3*a. What is the hundreds digit of a?
2
Suppose v + 2*v = 12. What is the tens digit of 43976/72 - (v + 76/(-18))?
1
What is the tens digit of (-894650)/(-638) - 9/33?
0
Suppose 3*w - 4*z + 3238 = 323, 3*w + 2*z = -2939. Let n = -276 - w. What is the hundreds digit of n?
7
Suppose -19*n + | {
"pile_set_name": "DM Mathematics"
} |
-5*v - 1 - 19 = 0. Let n = 172 - v. List the prime factors of n.
2, 11
Suppose -5*z = -2*z + 4*s + 8, -2*z - 17 = 5*s. Suppose -z*r + 25 = r. Suppose 3*p - r = 4. List the prime factors of p.
3
Let k be ((-2)/1)/(2/(-4)). Suppose -k*z + 3*z - 129 = 0. Let q = z + 181. List the prime factors of q.
2, 13
Suppose -3*t + 417 = -5*b, -b - 293 = -3*t + 136. What are the prime factors of t?
2, 3
Let q be ((-1)/(-3))/((-2)/30). Let h(j) = -j**3 - 4*j**2 + 4*j - 3. Let z be h(q). Suppose z*m = m + 10. What are the prime factors of m?
2, 5
Let j = -250 + 447. What are the prime factors of j?
197
Let l(o) = -4 + 2*o - 2 - 4*o**2 + 0. Let k(c) = 5*c**2 - c + 7. Let b(z) = -5*k(z) - 6*l(z). What are the prime factors of b(-6)?
7
Let k = -6 + 6. Suppose 3*c - 1 + 13 = k. Let z(m) = -2*m**2 - 10*m - 3. List the prime factors of z(c).
5
Let u = -47 - -134. List the prime factors of u.
3, 29
Let s(f) = -f**3 - 8*f**2 + 3*f - 22. Suppose 8*x - 3*x = 0. Suppose 2*j - 7*j - 45 = x. What are the prime factors of s(j)?
2
Let l be ((-131)/2)/((-3)/6*-1). Let c = l - -245. What are the prime factors of c?
2, 3, 19
Let p = 75 + -106. Suppose 10 = 5*x - 2*t + 80, 3*x + t + 31 = 0. Let w = x - p. List the prime factors of w.
19
Let g(k) = 2*k - 1. Let p be g(8). Let l be 12 + 179 + 8/2*-1. Suppose 0 = -5*v + p, f = -3*f - 5*v + l. List the prime factors of f.
43
List the prime factors of (-8)/(-22) - 337500/(-550).
2, 307
Suppose 0 = -11*j - 509 - 250. Let u = j + 177. What are the prime factors of u?
2, 3
Suppose -i = u + 5, -3*i = i + 3*u + 15. Let y = 2 - -2. Suppose 3*x = 2*n - 73, i = -n - 4*x + 27 + y. What are the prime factors of n?
5, 7
Let f = -1202 - -1758. Suppose 4*v + 243 = 6*v + 5*p, -f = -4*v + 4*p. What are the prime factors of v?
2, 67
Suppose 5*f = c - 877, -5*c - 5*f + 489 = -3956. List the prime factors of c.
887
Suppose 0 = -92*s + 82*s + 690. List the prime factors of s.
3, 23
Let h(n) = n**3 - 13*n**2 - 15*n + 14. Let l be h(14). Suppose l = 5*w - 3*v - 100, w - 21 = v - 3. List the prime factors of w.
23
Let k = 7 - 5. Suppose -3*n - 5 = k*n. What are the prime factors of (n/3)/(7/(-147))?
7
Let m(j) = 63*j + 53. What are the prime factors of m(5)?
2, 23
Let l(c) = -c**2 - 5*c**2 - 22 - 6*c**3 + 2*c**2 + 26. What are the prime factors of l(-3)?
2, 5, 13
Suppose 0 = 3*b + 8 + 10. Let y(w) = -w**2 - 18*w - 21. List the prime factors of y(b).
3, 17
Suppose 0 = 8*s - 11*s + 1029. Suppose 4*m + 3*g - 685 = 0, -2*m - g = -0*g - s. What are the prime factors of m?
2, 43
Let m = 827 - 552. List the prime factors of m.
5, 11
Let r(d) = d**2 - d - 3. Let l(u) = -u**3 - 3*u**2 - 2*u + 1. Let j(v) = -v**2 + 10*v - 3. Let m be j(10). Let w be l(m). What are the prime factors of r(w)?
3, 13
Suppose d - 2*f - 1760 = 0, 54*d - 57*d - f + 5252 = 0. List the prime factors of d.
2, 3, 73
Suppose 0*y + 1812 = 4*y. Let g = y + -319. List the prime factors of g.
2, 67
Let k(v) = -829*v - 797. List the prime factors of k(-5).
2, 3, 31
Suppose 0 = -10*a + 5*a + 15. Suppose 5*h - 188 - 32 = 2*f, f = a*h - 132. Suppose -5*g = h - 189. List the prime factors of g.
29
Let z(m) = 76*m - 471. List the prime factors of z(42).
3, 907
Suppose 0 = -p + 5, 10*p - 5*p + 239 = 3*t. Let f = t + -15. What are the prime factors of f?
73
List the prime factors of 30/(-35) + (-19318)/(-14).
7, 197
Let o(h) = 734*h**2 - 2*h - 3. What are the prime factors of o(-1)?
733
Let a = -17 + 24. Suppose -4*j + a*j = 171. What are the prime factors of j?
3, 19
Suppose 0 = -0*p - 2*p + 24. Suppose 0 = -f - f + p. Suppose -201 - 39 = -f*u. What are the prime factors of u?
2, 5
Let p = -1168 - -2543. What are the prime factors of p?
5, 11
Suppose -9*y + 6736 = -1481. What are the prime factors of y?
11, 83
Suppose 7*q + 334 = 2980. What are the prime factors of q?
2, 3, 7
Suppose 19 - 11 = -4*o. What are the prime factors of (7/3)/(o*(-2)/132)?
7, 11
Let i be 3820/16 - 3/(-12)*1. Suppose -505 = -4*o + i. List the prime factors of o.
2, 3, 31
Let f(x) = -x**2 + 11*x + 4. Let p be f(11). Suppose 0 = -5*z - 3*s - 44 + 151, -p*z + 68 = -2*s. List the prime factors of z.
19
Suppose 30 = 10*t - 530. List the prime factors of t.
2, 7
Let p be 2 + 0 - (8 - 8). Suppose -p*r - 4 = -84. List the prime factors of r.
2, 5
Let o(y) be the first derivative of 20*y**2 + y - 5. Let a be o(1). Suppose 5*m + 32 = 3*s - a, 11 = s + 5*m. List the prime factors of s.
3, 7
Let i = -11 - -11. Let b be 19 - i/(-1 - 0). Suppose -5 = -3*q + b. List the prime factors of q.
2
Suppose -3*c + 2732 = 743. What are the prime factors of c?
3, 13, 17
Suppose -12 = -10*i + 13*i. What are the prime factors of (-75)/(-4) + (-1)/i?
19
Suppose -356 = -4*i - v, 2*i + 0*i = -2*v + 178. Let z be (3*1*4)/(51/(-238)). Let l = i + z. List the prime factors of l.
3, 11
Let u(k) = k + 180. What are the prime factors of u(52)?
2, 29
Let w(s) = 3*s - 7. Let a be w(3). Suppose 5*v = a*v + 18. Suppose -2*x + v = -0*x. List the prime factors of x.
3
Let s(w) = -49*w + 102. What are the prime factors of s(-14)?
2, 197
Let d = -39 + 49. Let i(z) = z**3 - 9*z**2 - 3*z - 19. List the prime factors of i(d).
3, 17
Suppose -b = -4*m - 4, 3*b + 1 = -3*m + 2*m. Suppose b = -13*f + 16*f. Let o(g) = -g**3 + 2*g**2 + 20. List the prime factors of o(f).
2, 5
Let z = -6 - -40. Suppose -174 = 4*d + z. Let i = 73 + d. What are the prime factors of i?
3, 7
Let n = 33 - 33. Suppose -6*y + 367 = -2*y - 5*p, n = y - 2*p - 94. List the prime factors of y.
2, 11
Let n(k) = -448*k + 17. What are the prime factors of n(-1)?
3, 5, 31
Let i = 5 - 11. Let r = i - -9. Suppose -2*x = 2*d - 16, 0 = -r*d - 4*x + 21 - 1. What are the prime factors of d?
2, 3
Let a = 2576 + -1236. List the prime factors of a.
2, 5, 67
Let x = 42 - 40. Suppose x*m + m = 423. What are the prime factors of m?
3, 47
Suppose 3*b - 7*b - 3*n = -3, -3*b = -2*n - 15. List the prime factors of (-63)/((45/(-20))/b).
2, 3, 7
Let g be (-4 + 3)/(3/(-18)). Let q(d) = 2*d + 5*d**2 - 4 - g*d**2 - 4*d - 5*d. What are the prime factors of q(-3)?
2
Suppose 12*q - 80 = 8*q. Let o be 6/15 - (-1012)/q. Suppose 2*b - 60 = 2*k, k = 4*b - 75 - o. List the prime factors of b.
2
Let a = 7 - 4. List the prime factors of (5/3 - a)*-12.
2
List the prime factors of (-3)/6*0 + 5712/6.
2, 7, 17
Suppose a - 38 = 5*h, -3*h = -a + h + 36. Suppose -a = 2*o - 48. What are the prime factors of o?
2, 5
Let w(r) = -r**3 + 4*r**3 - 4*r**3 + 21*r + 14*r**2 + 0*r**3 + 18. List the prime factors of w(15).
2, 3
Suppose i - 159 = 99. Suppose 11*j + i - 2480 = 0. List the prime factors of j.
2, 101
Suppose 28749 = 5*a - 9*g + 8*g, -a - 5*g + 5729 = 0. List the prime factors of a.
5749
Suppose 5 + 1 = 2*h. Suppose -157 = -2*j - 0*j + 5*u, -3*u + 267 = h*j. What are the prime factors of j?
2, 43
Let h = -97 - -99. Suppose -3*z - h*p = -418, z + 2*p - 138 = -0*z. What are the prime factors of z?
2, 5, 7
Suppose 0 = 5*h - 3*b - 5854, 3*b + 705 - 1883 = -h. List the prime factors of h.
2, 293
Suppose -2*i - 3*p + 2135 = 0, 2451 + 754 = 3*i + 5*p. What are the prime factors of i?
2, 5, 53
Let r(y) = 11*y + 7. Let g be r(9). Suppose -4*w = m + g - 313, 3*m + 42 = w. Let j = w - 23. List the prime factors of j.
2, 7
Suppose 5*s - 29 = 2*g, 4*s - 28 = 3*g + g. Suppose 17 = 3*n + 2*u, -n - 5*u + s + 18 = 0. Suppose -2*r + 50 = n*r. What are the prime factors of r?
2, 5
What are the prime factors of (4*1335/(-20))/(2/(-12))?
2, 3, 89
Let l(q) = -162*q - 195. What are the prime factors of l(-9)?
3, 421
Let o be (4/(-6))/((-12)/144). Let m be o/(-10)*(-30)/12. What are the prime factors of (-6 - -7) + m + 27?
2, 3, 5
Suppose -h - 5*i - 23 = 0, 2*i - 3*i - 11 = -3*h. Suppose h*c - 3*c = -229. What are the prime factors of c?
229
Suppose 13906 - 2566 = 10*z. What are the prime factors of z?
2, 3, 7
Let m(k) = 2*k**2 - 4*k + 2. Let p be m(2). Suppose 0 = p*w - w - 3*j - 4, -4*w = -2*j - 16. What are the prime factors of w/(-20) + (-206)/(-5)?
41
Let r be 5/10*(3 - -5). Suppose -f - f = r*p - 134, 0 = -5*p - f + 163. List the prime factors of p.
2
Let r = 2063 - 1401. What are the prime factors of r?
2, 331
Let p = -17 + -5. Let r be (-16310)/(-77) + (-4)/p. Suppose -4*d + 8*d - r = 0. What are the prime factors of d?
53
Let h be 681/15 + 12/20. Suppose -74 = | {
"pile_set_name": "DM Mathematics"
} |
4876, -8345874, -13040014, -18777296, -25557720?
-521571*s**2 - s - 734
What is the r'th term of -2264, -2598, -2932, -3266, -3600?
-334*r - 1930
What is the f'th term of -79, 632, 2509, 6134, 12089?
97*f**3 + f**2 + 29*f - 206
What is the p'th term of 170337496, 170337498, 170337500, 170337502?
2*p + 170337494
What is the k'th term of 107791, 107437, 107083, 106729?
-354*k + 108145
What is the v'th term of -11591073, -23182143, -34773213, -46364283, -57955353?
-11591070*v - 3
What is the t'th term of -2792516, -5585032, -8377548?
-2792516*t
What is the v'th term of 13110, 25963, 38830, 51717, 64630?
v**3 + v**2 + 12843*v + 265
What is the r'th term of 318203, 636398, 954593, 1272788, 1590983?
318195*r + 8
What is the c'th term of -308258954, -308258956, -308258958, -308258960?
-2*c - 308258952
What is the v'th term of -1930, -2845, -3754, -4657?
3*v**2 - 924*v - 1009
What is the g'th term of 18541484, 18541485, 18541486, 18541487, 18541488?
g + 18541483
What is the b'th term of 192, -148, -444, -672, -808, -828, -708, -424?
4*b**3 - 2*b**2 - 362*b + 552
What is the u'th term of -1054, -2282, -3694, -5290, -7070, -9034?
-92*u**2 - 952*u - 10
What is the j'th term of -15568, -30733, -45898, -61063?
-15165*j - 403
What is the h'th term of 895842, 1791683, 2687528, 3583377, 4479230?
2*h**2 + 895835*h + 5
What is the s'th term of 1699398, 1699404, 1699412, 1699422, 1699434, 1699448?
s**2 + 3*s + 1699394
What is the s'th term of -480, -2365, -5648, -10329, -16408, -23885, -32760?
-699*s**2 + 212*s + 7
What is the g'th term of -10471, -13013, -15555, -18097, -20639?
-2542*g - 7929
What is the r'th term of -2499, -3347, -4195, -5043, -5891?
-848*r - 1651
What is the i'th term of -226684954, -226684953, -226684952, -226684951, -226684950?
i - 226684955
What is the v'th term of -37594248, -37594247, -37594246, -37594245, -37594244, -37594243?
v - 37594249
What is the h'th term of -19018, -23274, -27530, -31786, -36042?
-4256*h - 14762
What is the s'th term of -507724, -1015456, -1523186, -2030914?
s**2 - 507735*s + 10
What is the o'th term of -152290, -609195, -1370702, -2436811, -3807522, -5482835, -7462750?
-152301*o**2 - 2*o + 13
What is the g'th term of 117204, 234359, 351508, 468645, 585764, 702859, 819924?
-g**3 + 3*g**2 + 117153*g + 49
What is the q'th term of -13059, -14109, -15177, -16263?
-9*q**2 - 1023*q - 12027
What is the p'th term of 335586, 671180, 1006780, 1342386, 1677998, 2013616?
3*p**2 + 335585*p - 2
What is the u'th term of -1957, -9278, -21969, -40036, -63485, -92322, -126553, -166184?
-u**3 - 2679*u**2 + 723*u
What is the v'th term of -6607, -13592, -20577, -27562, -34547?
-6985*v + 378
What is the m'th term of -2395435, -9581749, -21558929, -38326975, -59885887?
-2395433*m**2 - 15*m + 13
What is the g'th term of 26444, 46532, 66620, 86708, 106796, 126884?
20088*g + 6356
What is the f'th term of -51050, -102122, -153194, -204266?
-51072*f + 22
What is the t'th term of -304, -998, -2020, -3370, -5048?
-164*t**2 - 202*t + 62
What is the h'th term of -2098, -142, 3084, 7580?
635*h**2 + 51*h - 2784
What is the q'th term of -11745, -19447, -27149, -34851, -42553, -50255?
-7702*q - 4043
What is the h'th term of 11401, 22408, 32625, 41656, 49105, 54576, 57673, 58000?
-66*h**3 + h**2 + 11466*h
What is the r'th term of -21175, -42039, -62563, -82747, -102591, -122095, -141259?
170*r**2 - 21374*r + 29
What is the a'th term of 986405, 986401, 986397, 986393, 986389?
-4*a + 986409
What is the w'th term of -68364, -140790, -213202, -285594, -357960, -430294?
w**3 + w**2 - 72436*w + 4070
What is the k'th term of -10408, -21481, -33222, -45631, -58708, -72453, -86866?
-334*k**2 - 10071*k - 3
What is the h'th term of 18068, 36758, 55450, 74144, 92840, 111538, 130238?
h**2 + 18687*h - 620
What is the u'th term of -12322165, -24644255, -36966345, -49288435, -61610525, -73932615?
-12322090*u - 75
What is the f'th term of 4511, 10371, 16231, 22091, 27951?
5860*f - 1349
What is the i'th term of -881277, -881199, -881123, -881049?
-i**2 + 81*i - 881357
What is the a'th term of 1285, -872, -3029, -5186, -7343?
-2157*a + 3442
What is the s'th term of -3836566, -3836554, -3836534, -3836506, -3836470?
4*s**2 - 3836570
What is the h'th term of -2446362, -2446517, -2446672, -2446827?
-155*h - 2446207
What is the b'th term of -11602, -92847, -313366, -742795, -1450770?
-11606*b**3 - b**2 + 5
What is the p'th term of 1715242, 1715257, 1715292, 1715353, 1715446?
p**3 + 4*p**2 - 4*p + 1715241
What is the a'th term of -139, -213, -341, -529, -783?
-a**3 - 21*a**2 - 4*a - 113
What is the x'th term of 5198, 5548, 6136, 6962?
119*x**2 - 7*x + 5086
What is the b'th term of 25123, 25108, 25067, 24988, 24859?
-2*b**3 - b**2 + 2*b + 25124
What is the q'th term of 42478, 42816, 43394, 44218, 45294?
q**3 + 114*q**2 - 11*q + 42374
What is the t'th term of -322386, -644805, -967264, -1289763?
-20*t**2 - 322359*t - 7
What is the s'th term of 273, 825, 1353, 1857, 2337, 2793, 3225?
-12*s**2 + 588*s - 303
What is the k'th term of 13791, 27502, 41213?
13711*k + 80
What is the a'th term of -1701844, -1701828, -1701812, -1701796, -1701780?
16*a - 1701860
What is the h'th term of -19213, -35629, -52045?
-16416*h - 2797
What is the r'th term of 108151, 108229, 108307, 108385?
78*r + 108073
What is the y'th term of 202273, 404225, 606177, 808129, 1010081?
201952*y + 321
What is the k'th term of -149415106, -298830211, -448245316, -597660421?
-149415105*k - 1
What is the t'th term of 3004, 23991, 80952, 191875, 374748, 647559, 1028296, 1534947?
2998*t**3 - t**2 + 4*t + 3
What is the p'th term of -64951, -65204, -65461, -65722, -65987?
-2*p**2 - 247*p - 64702
What is the q'th term of 27743, 55771, 83799, 111827?
28028*q - 285
What is the y'th term of -71, 231, 829, 1729, 2937?
y**3 + 142*y**2 - 131*y - 83
What is the b'th term of 3836, 15435, 34764, 61823, 96612?
3865*b**2 + 4*b - 33
What is the j'th term of -619, -2956, -8751, -19732, -37627, -64164, -101071?
-288*j**3 - j**2 - 318*j - 12
What is the h'th term of 27230, 54412, 81600, 108800, 136018, 163260?
h**3 - 3*h**2 + 27184*h + 48
What is the f'th term of 26993, 27200, 27543, 28022, 28637?
68*f**2 + 3*f + 26922
What is the f'th term of 5241, 5311, 5391, 5481?
5*f**2 + 55*f + 5181
What is the w'th term of -1191381, -1191386, -1191415, -1191480, -1191593, -1191766, -1192011?
-2*w**3 + 9*w - 1191388
What is the u'th term of -7163440, -7163422, -7163404, -7163386, -7163368, -7163350?
18*u - 7163458
What is the u'th term of -31111, -62465, -93819?
-31354*u + 243
What is the a'th term of 1303421, 2606870, 3910319?
1303449*a - 28
What is the z'th term of -8784503, -8784507, -8784509, -8784509?
z**2 - 7*z - 8784497
What is the z'th term of -262890, -263062, -263236, -263412?
-z**2 - 169*z - 262720
What is the n'th term of 9177, 18640, 28107, 37578, 47053, 56532, 66015?
2*n**2 + 9457*n - 282
What is the q'th term of 122586110, 122586108, 122586106, 122586104, 122586102?
-2*q + 122586112
What is the r'th term of 142652, 142700, 142750, 142802?
r**2 + 45*r + 142606
What is the k'th term of 280663, 1122695, 2526093, 4490857, 7016987, 10104483?
280683*k**2 - 17*k - 3
What is the z'th term of 562772, 1125529, 1688294, 2251073, 2813872, 3376697?
z**3 - 2*z**2 + 562756*z + 17
What is the m'th term of -1135181, -1135162, -1135129, -1135082?
7*m**2 - 2*m - 1135186
What is the i'th term of -12910174, -12910177, -12910180, -12910183, -12910186, -12910189?
-3*i - 12910171
What is the n'th term of 18296, 18225, 18138, 18029, 17892?
-n**3 - 2*n**2 - 58*n + 18357
What is the t'th term of -355, -1395, -2435?
-1040*t + 685
What is the t'th term of 44611, 178485, 401647, 714127, 1115955, 1607161?
5*t**3 + 44614*t**2 - 3*t - 5
What is the l'th term of -7635360, -15270721, -22906082, -30541443, -38176804, -45812165?
-7635361*l + 1
What is the b'th term of 1889509, 3779072, 5668681, 7558360, 9448133, 11338024, 13228057, 15118256?
4*b**3 - b**2 + 1889538*b - 32
What is the z'th term of -93549, -374019, -841411, -1495725, -2336961, -3365119, -4580199?
-93461*z**2 - 87*z - 1
What is the p'th term of -7288, 3283, 13854, 24425, 34996, 45567?
10571*p - 17859
What is the w'th term of -7842590, -15685180, -23527770?
-7842590*w
What is the r'th term of -154936, | {
"pile_set_name": "DM Mathematics"
} |
-2
Rearrange 6*h + 8*h + 6*h + 13*h to the form c*h + b and give c.
33
Express (0*t**2 + 3*t**2 - 5*t**2)*(23 + 154*t - 7 - 162*t + (1 - 1 - 2*t)*(2 + 0 + 0)) in the form c + y*t**3 + b*t**2 + r*t and give b.
-32
Express 0*l - l**3 + 0*l - 5 - 3*l**3 + 5 + (2 - l**2 - 2)*(l + l + 0*l) + 6*l**3 + l - 3*l + 10*l**3 as n*l + g + c*l**2 + j*l**3 and give n.
-2
Rearrange -68 - 61*z - 59 + 127 to x + l*z and give l.
-61
Express -7*m - 3*m - m - 6*m in the form v + i*m and give i.
-17
Express 2*y**2 + 7*y**4 + 2 + 5*y**4 - 10*y**4 + 2*y**3 in the form z*y**4 + c*y**2 + f*y**3 + g*y + o and give c.
2
Express 2 - 2 - o**2 + (-2*o + 7*o - o)*(3*o + 0*o - 5*o) as q*o**2 + p + u*o and give q.
-9
Rearrange (-1 + 1 - 5*g + (-1 + 2*g + 1)*(-3 + 0 + 1) + 8*g - 5*g + 3*g)*(-g - g + 0*g) to the form x + o*g + v*g**2 and give v.
6
Express -w**3 + 24 + 16*w - 24 in the form v*w + h*w**2 + x*w**3 + k and give v.
16
Express (5*s + 7 - 7)*(6 - 3 - 1) in the form m + u*s and give u.
10
Express -20*m + 101*m - 24*m**2 + 12*m**2 + 11*m**2 as g + q*m**2 + j*m and give q.
-1
Express 2 + 0 - 2 - 24*g in the form i*g + h and give i.
-24
Express -j**3 - 3*j**3 - 16*j + 12*j as h + u*j + f*j**3 + w*j**2 and give f.
-4
Rearrange 4*s + 3*s**2 + 2*s - 4*s**2 - 7*s to the form r*s**2 + w + j*s and give j.
-1
Rearrange -7*u**2 - 509 + 509 + (0*u**2 + 0*u**2 + 2*u**2)*(-2 + 1 + 2) to s*u + n*u**2 + i and give n.
-5
Express 2 + 7*z**2 - 5 + 2 - 2 as r + h*z**2 + m*z and give r.
-3
Express (-n - 2 + 2)*(-338 - 305 + 580) in the form h + g*n and give g.
63
Rearrange -80 + k + 3*k**2 + 80 to the form y*k + f + i*k**2 and give y.
1
Express -166 - 139*o**2 + 166 in the form c*o + d*o**2 + t and give d.
-139
Rearrange 2*d**2 - d + 3*d**2 - 3*d**2 + (2*d + 3*d - 3*d)*(2*d + 0*d + 0*d) + 7*d**2 - 4 + 4 to z + a*d + s*d**2 and give z.
0
Rearrange -12*d + 12*d + 1 + 8*d**4 + 2*d**4 - 2*d**4 - d**4 + (2*d**4 + 0*d**2 + 0*d**2)*(0 + 4 - 2) to the form j*d**3 + r + o*d + x*d**2 + p*d**4 and give j.
0
Rearrange -5*v**3 - 4*v**3 + 3*v**3 + v**2 - 2*v to w*v**3 + z*v + l + c*v**2 and give w.
-6
Rearrange -3 - 5*j**3 - 2*j - 2*j**3 + 5*j**3 to k*j + w*j**2 + p + t*j**3 and give w.
0
Rearrange -1 + 3*y**2 - 28*y + 28*y to the form c*y**2 + p + h*y and give c.
3
Rearrange (-4*d + 7*d - 5*d)*(-6*d**3 + 4*d**3 - d**3) to the form j*d + p*d**2 + s*d**4 + n*d**3 + t and give n.
0
Express (0*z**3 + 5*z**3 - z**3)*(z + 0*z + 0*z) - 3*z**4 - 2*z**4 + 6*z**4 in the form u*z**2 + s*z**4 + q + c*z + p*z**3 and give s.
5
Rearrange (-2 + 0 + 0)*(2 - 2 + 3*p**3) - 4*p**3 + 3*p**3 + 2*p**3 + (2 + 1 - 2)*(-3*p**3 + 1 - 1) to the form a + x*p + u*p**3 + j*p**2 and give u.
-8
Express 57*i + 47*i - 77*i + 95*i as k + z*i and give z.
122
Rearrange -21*k**3 - 1 - 6*k + 3*k + 3*k to c*k + u*k**3 + b + w*k**2 and give u.
-21
Express (4*r - 4*r + 2*r)*(1 + 2 - 6) + 4 + 2*r + 0 + 5 in the form w*r + k and give k.
9
Express (-5*t + t + 3*t)*(478*t - 8*t**2 - t**3 - 478*t) as g*t**2 + r*t**4 + o*t**3 + j + y*t and give r.
1
Express -3 + 3 - 4*h + 3*h**2 + h as c*h + v*h**2 + f and give c.
-3
Express (0*x**3 - 2*x**3 + x**3)*(2 - 2 - 2)*(7 + 3 - 3)*(0*x + 3*x - 5*x) in the form o*x**3 + g + t*x**4 + n*x**2 + d*x and give t.
-28
Rearrange 35*j - 3 + 7 - 4 to i*j + y and give i.
35
Express 11*w + 8*w + 0*w + 8*w in the form a + k*w and give a.
0
Rearrange -4506*j - 2 + 2 + 4871*j - j - 1 + 1 + (1 + 2 - 1)*(j + 2*j - j) to the form f*j + v and give f.
368
Rearrange 78 + 2*k - 78 to v + m*k and give v.
0
Express (2 - 1 + 0)*(4*v**3 - 4*v**3 + 2*v**3) + 5*v**3 - 4*v**3 + v**3 in the form p*v + t*v**3 + d*v**2 + s and give t.
4
Rearrange (-7 + 3 + 5)*(-2 + 2*t**3 + 2) to the form z*t**2 + l*t**3 + d*t + v and give l.
2
Express (-4 + 2*h**2 + 5 + 1)*(-1331 + 1331 - 125*h) in the form c*h**2 + w*h**3 + s + v*h and give w.
-250
Express -q + 3 + 2*q**2 + 2*q - 2 + 0*q + 0*q - 3*q**2 - q**2 - q**2 - q**2 + (4*q + 0*q - 2*q)*(-1 - q + 1) as h*q + r + c*q**2 and give r.
1
Rearrange 10*z + 12*z - 20*z to y + m*z and give m.
2
Rearrange (-7*i + 2*i - 2*i)*(-3 + 4 + 1) to the form l + p*i and give p.
-14
Express ((-5 + 1 + 1)*(-4*u + 3*u + 3*u) - 3*u - u + u)*(0 + 3 + 0)*(-4 + 4 + 4) as j + q*u and give q.
-108
Express 4*t**2 - 5*t**2 - t**2 + (-5*t + 5*t - 2*t**2)*(3 - 3 + 2) + (2 + 1 - 1)*(0*t**2 - t**2 - 2*t**2) in the form d + b*t**2 + i*t and give i.
0
Express (8 + 5*r**2 - 8)*(r - 2*r + 4*r) in the form t*r + c*r**2 + j + u*r**3 and give u.
15
Rearrange (-2*b**2 + 9*b**2 + b**2)*(-4*b**2 - 2*b + 0*b**2 + 5*b**2) to the form k*b**3 + s + y*b**4 + w*b**2 + r*b and give k.
-16
Rearrange -4*r**4 + 3*r**4 + 3*r**4 + (24 - 24 + 15*r)*(-r**3 + 2*r**2 - 2*r**2) to n*r**4 + o*r**2 + w + u*r**3 + z*r and give n.
-13
Express -2 + 2 + 180*k - 68*k in the form r + q*k and give r.
0
Rearrange -k**3 - 2 + 0 + 0*k**3 + 4*k**3 to the form w*k**2 + b*k**3 + s + m*k and give m.
0
Express (((0*w + 3*w - 2*w)*(-5 + 0 + 3) + w - 4 + 4)*(-2 + 3 - 5) + 5*w - 4*w - 4*w)*(3*w - 3 + 3) as a*w + q + z*w**2 and give z.
3
Rearrange -22*k**3 + 5*k - 15*k + 6*k to the form z*k**3 + v*k**2 + b + r*k and give r.
-4
Express 25*j + 9*j + 26*j - 23*j as q*j + z and give q.
37
Rearrange 4*c**3 + c**3 + 2*c**2 - 3*c**3 to u*c**2 + v*c + l + r*c**3 and give u.
2
Express 4*m + 2*m - 13 + 5*m - 8*m as q*m + i and give q.
3
Rearrange (3 - 4 + 0)*(-d - 3*d + 2*d)*(-17 + 6*d + 2*d - 6*d) to the form w + k*d + t*d**2 and give t.
4
Express 0 + 5*m**2 - 6*m**3 + 4*m**3 + 2 - 4*m**2 as f*m**3 + q + u*m + v*m**2 and give q.
2
Express 54*w - 2*w**3 + 59*w - 112*w - 2*w**4 - 3 + w**4 - 4*w**2 as j + g*w**4 + b*w**2 + i*w + r*w**3 and give g.
-1
Express w**3 + 7*w**4 - 2 + 5 + 3*w**4 + 3*w**4 as y*w + i*w**3 + o*w**4 + j*w**2 + u and give i.
1
Rearrange 11*o**3 + 35 - 38 - 10*o**3 + o**2 to the form v*o + s + j*o**2 + d*o**3 and give s.
-3
Express (-3*t + t + 4*t)*(t - 4*t + 2*t + (-t - 2*t + 5*t)*(-4 - 1 - 1) + t - 2*t - t) in the form s + x*t**2 + h*t and give x.
-30
Express (-3 - 1 + 6)*(2*g - 2*g + g**2) + (4*g + 14 - 14)*(1 + 11*g - 1) in the form b*g + p + v*g**2 and give v.
46
Rearrange 4*j - 4*j - 13*j**2 + j to the form s*j**2 + l + c*j and give s.
-13
Rearrange -850 + 2*a**2 + 2*a**3 + a + 850 to d*a**2 + q*a**3 + y*a + k and give q.
2
Rearrange 26*n**2 - 3*n - 24*n**2 - 5*n**3 + 3*n to u + y*n + z*n**2 + h*n**3 and give z.
2
Rearrange (-7 + 10 + 10)*(-13 + 13 - 22*t) to the form o + z*t and give z.
-286
Rearrange (-l - 3*l + 0*l)*(-5*l**2 + 5*l**2 + 2*l**3)*(1 - 5 + 2) to the form i*l**2 + j*l**4 + q + p*l + c*l**3 and give j.
16
Express 0*h**3 + 0*h**3 - 1 + h + 0*h**3 + 3*h**3 in the form k + f*h**2 + l*h**3 + o*h and give o.
1
Express 2*s + 2 - 2 - 12*s**2 as y + l*s**2 + z*s and give z.
2
Rearrange -13*v + 84*v + 20*v to c*v + h and give c.
91
Express (-2*z + 5*z - 2*z)*(-30*z - 42*z - 21*z)*(-2 - 4 + 5) as c*z + t*z**2 + o and give t.
93
Express 6*z**2 + 5*z**2 + 2*z**3 + 0*z**2 + 2 - 5*z**2 in the form w + b*z + s*z**2 + p*z**3 and give w.
2
Rearrange -2*w**2 - 13*w + 13*w - 4 - w**3 - 1 to the form g*w + t*w**3 + s*w**2 + m and give s.
-2
Rearrange (0*w**3 - 5*w**3 + 2*w**3 + (-2 + w + 2)*(-3*w**2 + w**2 + 3*w**2))*(5 + 8 - 11) to k*w**3 + p*w**2 + i*w + z and give k.
-4
Rearrange (5 - 10 - u + 3*u)*(-2*u - u + 1 + u) to i + h*u**2 + z*u and give z.
12
Express -7*b - 8*b**2 + 7*b - 8*b**2 in the form i*b**2 + p*b + v and give i.
-16
Rearrange 1 + 1 - 2*b**4 + 2*b**2 + b**3 - 2*b**2 to w*b**3 + c*b + n + s*b**2 + g*b**4 and give n.
2
Rearrange 2*z - 24*z**3 + 6*z**3 + 11*z**3 to b*z + s*z**2 + g + q*z**3 and give q.
-7
Express (-5*u**3 + 3*u**3 + 3*u**3)*(9*u - 149*u - 61*u) as f + g*u**4 + o*u + b*u**2 + w*u**3 and give g.
-201
Express 31*h + 30*h + h**2 - 69*h in the form d + f*h + p*h**2 and give f.
-8
Express (0*m + 3*m - 5*m)*(m + 2*m - m) - 3*m**2 + 7*m**2 - 3*m**2 - 5 + 5 + 4*m**2 + 0*m**2 + 4*m**2 + 0*m**2 in the form q*m**2 + r*m + i and give q.
5
Express 4*b**2 - 5*b**2 + b**3 - 3*b**2 - 2*b**4 - 2*b**3 as c*b + t*b**4 + m*b**3 + s*b**2 + k and give m.
-1
Express 14*j - 19*j - 36*j in the form l + u*j and give u.
-41
Express 2 - z**3 + z**4 + 2*z**2 - 3 + z**4 as a*z**2 + l*z**3 + o*z + k*z**4 + v and give a.
2
Express z**2 - z**3 - 5*z**2 + 3*z**2 + 0*z** | {
"pile_set_name": "DM Mathematics"
} |
-0.2 + 0.1. Put p, -0.2, v in decreasing order.
v, p, -0.2
Let q = -18 + 50. Let j = 28 - q. Sort -5, j, 19 in increasing order.
-5, j, 19
Let y = -17 + 17.5. Suppose 2*f = f. Suppose l - 2*x + 7 = 0, l + 3*l + 4*x - 20 = f. Sort 1/4, y, l in decreasing order.
l, y, 1/4
Let w be (4 - 406/105)*-5. Sort -2/11, 4, -27, w in decreasing order.
4, -2/11, w, -27
Let i = 0.591 - 1.191. Sort i, -1/10, -3, 2 in ascending order.
-3, i, -1/10, 2
Let c = -0.3 + 1.3. Let f = 82 + -83. Suppose 10 = -3*j + j. Put c, j, f in ascending order.
j, f, c
Let u = 0.4 - -1.2. Let x = 3.6 - u. Let j = 0.6 - 0.1. Sort j, -1/5, x in increasing order.
-1/5, j, x
Let t = 341 + -341.05. Sort -3/5, t, -2 in descending order.
t, -3/5, -2
Let q = -1 - -0.5. Suppose -6 = -33*j + 36*j. Put j, q, 0.5 in decreasing order.
0.5, q, j
Let y = 0.19 - 0.39. Put y, 3, 13, -3 in increasing order.
-3, y, 3, 13
Let h = -2.49 + 14.39. Let u = h + -7.9. Sort u, -4, -0.6, -2/7.
-4, -0.6, -2/7, u
Let r = -1 + 3. Let b be (12/r)/1 - 0. Let m = -778 + 777. Sort -4, b, m in increasing order.
-4, m, b
Suppose 215 = -54*k - 1. Sort 2/3, -0.6, k, 1/4 in descending order.
2/3, 1/4, -0.6, k
Let r be -5*12/(-160) - 55/104. Let i be 10*(-1 + 9/8). Sort 1, r, i.
r, 1, i
Let r = -305 + 307. Let h = -2 + -1. Sort h, 3, 0, r.
h, 0, r, 3
Let p = -176 + 371. Let j = p + -1367/7. Let m = 3 - 2. Put m, 2/19, j in increasing order.
j, 2/19, m
Let t = -87 - -63. Let m = t - -41. Sort 4, m, 0.2, 0.
0, 0.2, 4, m
Let g(a) = 2*a**2 + 47*a + 74. Let w be g(-22). Let q be 4 - 1*(0 + 0). Sort w, q, 2.
2, q, w
Let z be (-2)/(-1) - (6 - 2). Suppose -2*r + 10 = 3*r. Put z, r, -4, 4 in descending order.
4, r, z, -4
Suppose 78 + 37 = 4*b - 3*r, -3 = -r. Suppose 5*s - 25 = -3*d, -3*d - 3*s = 2*d - b. Let v be (-22)/(-20) - (-4)/10. Sort d, -3, v in descending order.
d, v, -3
Let t = -3.2 + 2.2. Sort 0.5, t, 0, -3.
-3, t, 0, 0.5
Let x(f) = -3*f**2 - 9*f + 4. Let n be x(-3). Let c be 24/11 - 14/77. Put -7, n, c in ascending order.
-7, c, n
Let m = -0.0262 - -0.0362. Put 4, 9/5, m, 2 in increasing order.
m, 9/5, 2, 4
Let y be -7 + (-5 - (-6 - -2)). Let x be (-22)/y - 8/(-32). Sort -3, x, -1, 5 in decreasing order.
5, x, -1, -3
Let y = -525 + 527. Sort -0.2, y, 1 in descending order.
y, 1, -0.2
Let k(p) = 5*p**2 - 10*p + 53. Let o be k(8). Sort -3, -1, o in descending order.
o, -1, -3
Suppose 0 = -4*j - 5*i - 4 - 0, 2*j - 3*i = 20. Suppose 0 = -n + x - 24 - 1, 2*n = 5*x - 65. Let v = 16 + n. Sort j, 3, v.
v, 3, j
Suppose 4*r = 5*o + 31, -3*r + 27 = -5*o - 0*r. Let h be ((-16)/32)/((-1)/10). Suppose -1 + h = 4*t - 2*p, p + 8 = 4*t. Sort 1, t, o in decreasing order.
t, 1, o
Suppose t - 1 - 1 = 0. Let d = -325 + 342. Sort 1, d, t, -2.
-2, 1, t, d
Let q = -6 + 15. Let g = -5 - q. Let s = -30 - g. Sort s, 0.5, -3/4 in decreasing order.
0.5, -3/4, s
Let c(y) be the third derivative of -y**5/20 - y**4/12 - y**3/6 - 10*y**2. Let j be c(1). Put j, -4, -2 in decreasing order.
-2, -4, j
Suppose i + 13 = -0*i - z, i = -5*z + 3. Let m = -14 - i. Let y = -24 + 23. Put 4, y, m in ascending order.
y, m, 4
Let w be -20*((-9)/4 + 2 + 0). Suppose -2*c - 2 = 3*n - 2*n, 0 = -c + 4*n - 1. Sort w, c, 6, -2 in descending order.
6, w, c, -2
Suppose 2 = 4*c - 2, 2*h - 149 = -3*c. Let k = 70 - h. Sort 2, k, 18 in decreasing order.
18, 2, k
Suppose -x - 5*k = -19, 5 = 3*x - 2*x - 2*k. Let i = x + -8. Let s = -3 + 3.1. Sort 2/3, i, s.
s, 2/3, i
Let y = -5 - -9. Suppose -33 = -4*m + 5*r, -r - 5 - y = -2*m. Sort -4, -2, m, -1 in decreasing order.
m, -1, -2, -4
Let q = -8.48 + -33.52. Sort 0.2, q, 0.5 in descending order.
0.5, 0.2, q
Let n(w) = w**2 + 55*w + 21. Let r be n(-52). Sort r, -1, -2 in decreasing order.
-1, -2, r
Let q = -4.9 - -5. Suppose 3*z - 15 = -0*z. Let c = -23/4 + z. Sort c, -5, q in decreasing order.
q, c, -5
Let t = 2.53 - -0.47. Put 9/5, t, -3 in increasing order.
-3, 9/5, t
Let g(o) = -o - 7. Let b be g(-9). Suppose 3*f + 15 = -b*f. Suppose 0 = -5*q - 2*n - 13, 25 = -q - 5*n + 4. Sort 4, q, f in decreasing order.
4, q, f
Let x be 1/6 + 1/6. Let v = 241.6 - 241.6. Put v, -3/5, 0.03, x in increasing order.
-3/5, v, 0.03, x
Let u = 838 + -4191/5. Sort 29, -0.1, -1, u in ascending order.
-1, u, -0.1, 29
Let a(w) = -2*w + 111 - 63 + 0*w + 8*w. Let v be a(-9). Put v, 0, -4 in decreasing order.
0, -4, v
Let c = 15613/15 + -1041. Put c, -1/9, 3/4 in increasing order.
c, -1/9, 3/4
Let y be ((-14)/(-5))/((-105)/(-150)). Sort y, -66, -1 in decreasing order.
y, -1, -66
Let d = 2325 - 2330. Suppose -16 = 4*i - 3*i. Sort -3, -4, d, i.
i, d, -4, -3
Suppose c + 5 = 5*h, 0 = -c + 3*c + 3*h + 10. Let t = -2 - 0. Sort -4, t, -3, c in decreasing order.
t, -3, -4, c
Let m = 4 - 9. Let f(t) = 3*t**2 + 14*t + 14. Let n be f(-3). Put n, -2/3, m in descending order.
-2/3, n, m
Let l = -8.1 - -1.1. Let r = -3 - l. Let y(q) = -3*q - 34. Let d be y(-11). Sort -5, d, r in ascending order.
-5, d, r
Let q(v) = -v**2 - 17*v + 21. Let g be q(-18). Suppose -2 = 2*n, 3*t + g*n - 1 = 8. Suppose 0 = -4*x - 5*u, -3*x - 4*u = -6*x. Put x, t, -4 in ascending order.
-4, x, t
Let k(g) = g**2 + 7*g + 9. Suppose 30 = 4*m - 9*m. Let a be k(m). Suppose 0 = -c + a, 9*t - 4*t + 3 = c. Sort 4, t, 11 in ascending order.
t, 4, 11
Let v = 3195 + -140585/44. Sort 0, -5, v, -3/7 in decreasing order.
0, v, -3/7, -5
Let q(y) = y**3 + 8*y**2 + 2*y + 12. Let k be q(-8). Let b = -0.03 + 9.03. Let x = -5 + b. Put x, -4/3, k in ascending order.
k, -4/3, x
Suppose 3*x - x - 4 = 0. Suppose -x*r + 14 = 4. Sort r, 2, -1 in descending order.
r, 2, -1
Let m = 4.98 + -4.58. Let f = -44/35 + 6/7. Sort f, m, -2 in descending order.
m, f, -2
Let n be -1 + -3 - 891/(-33). Put 2, -2, n, -5 in increasing order.
-5, -2, 2, n
Let d = -1306 - -1300. Sort -4, -30, d in ascending order.
-30, d, -4
Let q = 465 - 452. Sort 1/3, q, -2 in decreasing order.
q, 1/3, -2
Let x(n) = n**3 + 20*n**2 - 23*n - 41. Let t be x(-21). Let s be 10*(-1 + 1 + t/12). Put 2, s, -6, 0.4 in descending order.
2, s, 0.4, -6
Suppose -5*s = 5*y + 170, -3*s + 3*y + 176 = -8*s. Sort s, 2, 4 in increasing order.
s, 2, 4
Let i = 157/2 + -73. Let p = -25/4 + i. Sort p, 0.2, -0.4, -1/4 in decreasing order.
0.2, -1/4, -0.4, p
Let f be (-2)/8 + 10/8. Let x(h) = -h**2 + 3*h + 2. Let m be x(3). Suppose -m*b + 11 = 1. Put f, -1, b in decreasing order.
b, f, -1
Let j = -2460 - -2456. Put j, 2/7, -47 in decreasing order.
2/7, j, -47
Suppose 0 = 7*d - 5*d - 4, -32 = -4*m + 4*d. Let f be (-2)/7 - 75/7. Let r = f + m. Sort 1, 5, r in ascending order.
r, 1, 5
Let l be -6 - 4/((-12)/15) - 4. Sort -4, 0.2, -6/13, l in decreasing order.
0.2, -6/13, -4, l
Let a(y) = y - 14. Let o be a(-7). Put 3/2, o, -0.4 in decreasing order.
3/2, -0.4, o
Let t(u) = u**2 - 2*u - 42. Let o be t(-7). Sort o, -4, 2.
-4, 2, o
Let g be (20/15 + -1)/((-1)/(-9)). Suppose 6*a - w = g*a - 7, 3*a + 5*w = -37. Suppose 5*d - 5 = -2*s + 4*d, -3*s + 2*d = -18. Put a, 3, s in ascending order.
a, 3, s
Let o = -11645/8 - -1456. Put -8, 1, o, 23 in ascending order.
-8, o, 1, 23
Let l = -1 + 28. Let y be ((-1)/(-9))/(4 - 102/l). Sort -0.2, 8, y, 0.2 in descending order.
8, y, 0.2, -0.2
Let w(m) = 12 + 12 - 23 + 2*m + 0*m. Let d be w(0). Sort -2, d, -3, 0 in descending order.
d, 0, -2, -3
Let c be -10*(-1 + (-66)/(-70)). Suppose 3*m = 2*h - 10 + 2, -20 = -3*m - 5*h. Suppose -5*d - 26 + 6 = m. Sort -3, d, c in increasing order.
d, -3, c
Let w = 13 + -8. Suppose 11 = -u + 3*b - b, 4*u = 2*b - 26. Sort w, u, 1 in decreasing order.
w, 1, u
Let o = 2 - 1. Suppose 426 = 61*d + 81*d. Sort d, 2, o, 8 in increasing order.
o, 2, d, 8
Suppose 5*p - 26 = 4*j, -8*j + 9*j - 2*p + 8 = 0. Put -5, 46, j in descending order.
46, j, -5
Let r = -44 + 43.5. Sort r, -3/7, -0.2.
r, -3/7, -0.2
Suppose 0*r + 8*r - 24 = 0. Suppose -4*v + 23 - r = 0. Sort -6, v, 4 in descending order.
v, 4, -6
Let h = 1.6 + -2.6. Put 0, 0.1, h, -1/8 in decreasing order.
0.1, 0, -1/8, h
Suppose -7 - 68 = 5*p. Let g be 12/(-2)*(-2)/p. Let a = -1.05 - -0.05. Put 0.2, a, g in decreasing order.
0.2, g, a
Let k = 102 + -98. Put k, 5, 3, -3 in decreasing order.
5, k, 3, -3
Suppose 0 = 3*u + u, -2*v = 5*u + 10. Let o = -20 - -23. Suppose 4*i - 11 = -o*c, 7 = c - i + 3*i. Sort v, 3, c in decreasing order.
3, c, v
Suppose 44*d - 9 = 35. Sort d, 4 | {
"pile_set_name": "DM Mathematics"
} |
5
Let c = 1110 + -6643/6. Calculate the common denominator of -23/10 and c.
30
Let i(n) = -4*n**3 - 2*n - 1. Calculate the least common multiple of i(-1) and 9.
45
Let s = -6 + 14. Let o be (-4 - 2)*12/8. Calculate the lowest common multiple of (-1)/3 + (-39)/o and s.
8
Let p = -9162 - -91537/10. Let u = -1 + -1. What is the common denominator of (u - 0) + (-166)/4 and p?
10
Let p = 2/3219 - 70852/54723. What is the common denominator of p and 155/(-4)*(-8)/(-20)?
34
Let h = -121627/35874 - -3/1993. Let p = 106 + -207/2. Calculate the common denominator of p and h.
18
Let t be -2 + 0 + (-345)/(-162). Let y = t + 161/54. Find the common denominator of ((-4)/24)/((-2)/226) and y.
18
Let j(m) be the third derivative of -m**6/120 + 7*m**5/60 - 5*m**4/24 - m**3/3 + 3*m**2. Let h = 35 - 17. Calculate the smallest common multiple of h and j(6).
36
Suppose 0 = -2*n - 5*h - 5, 2*n - n + 15 = -5*h. What is the least common multiple of n and 40?
40
Let b be 5 + -2 - (-3)/1. Calculate the common denominator of (1/4)/(b/(-412)) and -32/11.
66
Calculate the common denominator of 33 and -1 + (-3)/(36/(-94)).
6
Suppose 12 = 5*z - 13. Let f = -3 + 7. What is the least common multiple of f and z?
20
What is the lowest common multiple of (-10 - -15) + 1/1 and 19?
114
Let k = 281/5 + -3356/55. Find the common denominator of k and 13/14.
154
Let u(g) = g + 12. Calculate the least common multiple of 9 and u(-6).
18
Let f = 11 - 9. Find the common denominator of 1/8 and 1 + 73*f/40.
40
Let l(n) = n + 2. Let o = 16 - 11. What is the least common multiple of l(o) and 9?
63
Let j = 999039 - 7977849/8. Let y = 1813 - j. Calculate the common denominator of y and -83/2.
8
Suppose a = -2*b + 56, 2*a + 2*b - 103 = b. Let z = -20 - -28. Calculate the smallest common multiple of 2/(-8) - a/(-8) and z.
24
Let h(b) = -b**2 - 3*b + 5. What is the lowest common multiple of 3 and h(-4)?
3
Suppose -2*u = -u - 16. Let y be ((-3)/2)/(2/20). Let q = y - -23. What is the least common multiple of u and q?
16
Let h = -3268/35 + 438/7. Let b = h - -661/20. What is the common denominator of -55/2 and b?
4
Suppose -8 + 0 = -k. Let f(q) = -7*q - 25. What is the lowest common multiple of k and f(-5)?
40
Let j(x) = -x**3 - 4*x**2 - 7*x - 10. What is the least common multiple of j(-4) and 8?
72
Let g be (-5)/((-5)/(-8)) - 2. Calculate the lowest common multiple of (0 - (-1 - -2))*g and 3.
30
Suppose -5 = -j + 3*v, 5*j + 5*v = 36 - 11. What is the smallest common multiple of 6 and j?
30
Calculate the least common multiple of (14/6)/(2/12) and 7.
14
Let k = 218 - 71. Calculate the common denominator of -139/18 and k/90 + (-4)/(-6).
90
Let o = -34/1485 + 4085303/2970. Let z = o + -1347. What is the common denominator of 93/10 and z?
10
Let y(x) = -x**2 - 8*x + 2. Let q(t) = -t - 8. Let o be q(0). Calculate the least common multiple of 7 and y(o).
14
Let b = 21 - 1. Let q(l) = 10*l - 5*l + 2*l. Calculate the lowest common multiple of q(2) and b.
140
Let l(h) = -2*h - 18. Calculate the least common multiple of 6 and l(-13).
24
Let v(i) = -i**2 - 6*i + 8. Let s be v(-7). What is the common denominator of -5 - -2*(-453)/(-132) and 183/66 + s + -1?
22
Calculate the common denominator of -149/48 and 1*1/(4 - 16)*-125.
48
Let c(o) = o**3 - 2*o**2 - 4*o + 3. Let m be c(3). Suppose 3*k - 48 = -m*k. Suppose -p - k = -5*p. Calculate the smallest common multiple of p and 10.
20
Suppose 0*x - x = 0, 3*o + 3*x + 3 = 0. What is the lowest common multiple of o - 63/(-3) - 0 and 22?
220
Let s = -13595/8 - -1687. Find the common denominator of s and ((-68)/(-30))/(8/12 + -2).
40
Let y(a) = 1 + 2 - a - 1. What is the smallest common multiple of 4 and y(-5)?
28
Calculate the smallest common multiple of (-5 + -18 + 5)/(-1) and 8.
72
Let j = 1 + -5. Find the common denominator of (-2270)/105 + j/(-14) and 55/4.
12
Let c = 124 - 97. Calculate the smallest common multiple of c and 6.
54
Let s be (-3)/(2 + (-39)/18). Suppose 5*p = 2*l - 13, -6*l + s = -l + 2*p. Calculate the common denominator of -97/4 and (3/l)/(12/(-88)).
4
Let f = 40819/65 - 628. What is the common denominator of f and -49/9?
585
Suppose -3795 + 827 = -4*z. Calculate the common denominator of 109/6 and z/80 + 6/(-15).
24
Let r be ((-20)/(-6))/((-5)/(-30)). Let z = 16937/14 - 1209. What is the common denominator of (-66)/r - 2/(-10) and z?
70
Calculate the lowest common multiple of ((-20)/25)/((-1)/10) and 1.
8
Suppose y = -0*y + 3*b + 15, -5*b - 17 = y. What is the least common multiple of 2 and y?
6
Let q = 2333 + -20974/9. Find the common denominator of q and -70/3.
9
Suppose -5*o = 3*j - 50, 0 = -j - 0*o - 5*o. Suppose h + 0*h = 5, 0 = -4*z - h + j. Suppose z = w - 3. Calculate the smallest common multiple of 20 and w.
40
Suppose 2*i - 15 = -3*i. Let x be 0/2 + 0 - i. Find the common denominator of 51/10 and (-205)/45 - 1/x.
90
Suppose 0*x - 5*x - 3*n = -50, x + 5*n - 10 = 0. What is the smallest common multiple of (4 - (-1 - 2)) + -2 and x?
10
Suppose 0 = -0*h - h + 71. What is the common denominator of (h/4)/(27/36) and -17/6?
6
Suppose 2*y - 4*x + 2*x = 6, -3*y - 5*x = -1. Let k = -1781/3 - -1201/2. Find the common denominator of 5/(y*3/(-11)) and k.
6
Suppose 0 = 2*c + c + 24. Let h = -3929/180 + 187/9. Calculate the common denominator of (138/16)/(2/c) and h.
20
What is the smallest common multiple of 10 and (-28)/(18/(-4) - -4)?
280
Let o = -505/9749 + -8707855/13512114. Let a = o - 22/63. Calculate the common denominator of a and 145/12.
132
Let h be ((-4)/(-6))/(2/15). Let f(z) = 10*z - 41. Let y be f(8). Suppose 9 = 4*b + 3*r - 26, y = h*b - r. Calculate the smallest common multiple of 8 and b.
8
Suppose 3*q - 15 = 3*s, 3*s = -5*q - 0*s + 33. Calculate the least common multiple of 3/(3/(-2)) + 3 and q.
6
Let j = -17 + 27. Calculate the smallest common multiple of 12 and j.
60
Let l(b) = -b**3 - 5*b**2 + 5*b - 4. Let a(n) = n**2 + 6*n + 3. Let z be a(-4). Calculate the smallest common multiple of l(-6) and (2/(-4))/(z/20).
2
Let j = 0 - -3. Suppose 2*o + 3*o - 49 = -j*m, m - 2*o = -2. Let a = -5 - -16. Calculate the smallest common multiple of m and a.
88
What is the lowest common multiple of (-1 - (-6)/9)*-24 and 8?
8
Find the common denominator of 111/21 + (-6)/(-3) and (81/(-1))/(0 + -10).
70
Suppose -2*l + 36 = -6. Calculate the smallest common multiple of l and 3.
21
Let z = -3642 - -21805/6. What is the common denominator of -75/22 and z?
66
Suppose 0 = -2*n + 1 - 17. Let o be n + 2*(-2)/(-4). Let z(u) = -3*u - 3. Calculate the least common multiple of 16 and z(o).
144
Let k(t) = -t**2 - 4*t + 4. Let q be k(-6). Suppose -h + 2*h + 539 = -3*p, 0 = h - 2*p + 564. Calculate the common denominator of 2/q + h/(-24) and -35.
6
Let n(b) = 33*b + 2. Let k be n(5). Suppose -2*r + k = x, 6 + 4 = -2*x. What is the common denominator of r/(-120) - 3/9 and 81/20?
20
Let p(x) = -14*x - 7. Let q(l) = -5*l - 2. Let r(u) = -6*p(u) + 17*q(u). Let h be r(6). What is the common denominator of h - (-2)/((-60)/423) and 53/2?
10
Let z(i) = 2*i**3 + i**2 - 1. Let l be z(1). Suppose -l*h - 4 = -4*h. Calculate the least common multiple of 6 and h.
6
Suppose -h - 4*x - 18 = 0, -3*h + 2*x = -3 - 13. What is the lowest common multiple of 18 and h?
18
Let q(n) = n**3 + 35*n**2 - 44*n - 286. Suppose -3 = 4*p - 19, -60 = -4*y + 3*p. Calculate the lowest common multiple of q(-36) and y.
18
What is the common denominator of (-191)/(-48) - (-8)/(-48) and 30/11?
176
Let f = -51268949 - -21533010727/420. Let n = -2726/21 + f. Calculate the common denominator of 1/10 and n.
20
Let y be (14/(-3))/(4/(-6)). Let f = y - -5. Let a = 10 + -6. What is the smallest common multiple of f and a?
12
Suppose 0 = 2*m + m - 18. What is the common denominator of -27/10 and ((-4)/m)/(20/(-445))?
30
Let a be (-1)/(-3) + (-10)/(-6). Suppose 0 = a*x + 3*k - 5*k - 26, 4*k - 38 = -x. What is the lowest common multiple of 4 and x?
36
Let k = -37 + 57. Find the common denominator of 69/(-10) - (-10)/k and -31/9.
45
Let f = 41227/10 - 4127. Find the common denominator of 11/7 and f.
70
What is the lowest common multiple of 2 and 22 + (-3 + 1 - 2)?
18
Let x(w) = -w - 4. Suppose 18 = 3*z + 2*n, -2*n - 2*n = -4*z + 4. What is the smallest common multiple of z and x(-6)?
4
Calculate the common | {
"pile_set_name": "DM Mathematics"
} |
Differentiate -74*j**2*q - 382*j**2 with respect to q.
-74*j**2
Find the third derivative of -12841*n**3 - 3*n**2 - 200 wrt n.
-77046
Find the second derivative of 381*w**5 + 2776*w wrt w.
7620*w**3
Find the first derivative of 9407*f*h**2 + 20*h**2 - h - 10 wrt f.
9407*h**2
Find the third derivative of -254*p**6 - 12*p**2 - 14.
-30480*p**3
Find the first derivative of a**3*g**2 - 2*a**3 + 18*a**2 + 9479*a*g**2 + 15 wrt g.
2*a**3*g + 18958*a*g
What is the derivative of 136*l**4*p**2 - 2*l**2*p**2 - 3*l*p + 2*p**2 + 11*p - 3 wrt l?
544*l**3*p**2 - 4*l*p**2 - 3*p
Find the third derivative of 2*c**3*r**4 + 411*c**3*r**3 + 10789*c**3*r - 8*r**4 + r**2 wrt r.
48*c**3*r + 2466*c**3 - 192*r
Find the second derivative of 24*a**2*z + 2*a**2 - 39*a*z + 2*a wrt a.
48*z + 4
What is the second derivative of 113*j**4 - 9*j**3 - 1185*j?
1356*j**2 - 54*j
Find the second derivative of -2*r**4*x - 10*r**2*x**3 + 379*r*x**2 - 2*r*x - 2*x**3 wrt r.
-24*r**2*x - 20*x**3
Find the second derivative of -7185*x**3 - 9383*x.
-43110*x
What is the third derivative of -1495*h**4*n + 345*h**2 + h*n + 2*n wrt h?
-35880*h*n
What is the first derivative of 3*g**2*r - 2*g**2 - 78*g*r**4 - 2*g*r - 357*g wrt r?
3*g**2 - 312*g*r**3 - 2*g
Find the first derivative of 5*h**3 - 9*h**2 - 54.
15*h**2 - 18*h
What is the third derivative of -821*q**3 - 1752*q**2 wrt q?
-4926
Find the third derivative of -94*d**4 - 15*d**3 - 7566*d**2.
-2256*d - 90
What is the second derivative of -36*n**2 - 312*n wrt n?
-72
Find the second derivative of -4*b**5*n + 8*b**2*n + 7*b**2 - 16*b*n - 3*b + n wrt b.
-80*b**3*n + 16*n + 14
Find the first derivative of 29*b**4*c + 2*b*c + 4*c + 101 wrt b.
116*b**3*c + 2*c
Differentiate 11*t*v - 5*t + 577*v with respect to t.
11*v - 5
What is the third derivative of -5199*d**3*r**3 - 103*d**3*r**2 + 15*d**2*r**2 - 2*d*r**2 wrt r?
-31194*d**3
What is the second derivative of 14*c**5*g**2 + 13*c**2*g**2 + 4*c**2*r - c*r - 6*c + g**2 - 60*r wrt c?
280*c**3*g**2 + 26*g**2 + 8*r
What is the third derivative of -825*h**3*w*x**3 - 5*h**2*w*x**3 - 10*h**2*w*x - 7*h*w*x**3 wrt h?
-4950*w*x**3
Find the third derivative of m**3*n**3 + 1496*m**3*n**2 + 196*n**6 + 5*n**5 + 2*n**2 wrt n.
6*m**3 + 23520*n**3 + 300*n**2
Find the third derivative of -7*k**5*w + 5*k**3 - 2*k**2 - 43*k*w wrt k.
-420*k**2*w + 30
Find the second derivative of 1789*i**2 - 34*i wrt i.
3578
What is the second derivative of -844*y**4 + 546*y wrt y?
-10128*y**2
What is the third derivative of 2*c*p**4 + 151*c*p**3 - 801*c*p + p**2 wrt p?
48*c*p + 906*c
Find the first derivative of 311*d*j**2 - 487*j**2 wrt d.
311*j**2
What is the second derivative of 26651*i**3 - 19356*i wrt i?
159906*i
What is the second derivative of 172*d**5 + d**3 - 47*d - 10?
3440*d**3 + 6*d
What is the first derivative of 57*f**4*p - f*p**2 - 30*p**2 + 8*p wrt f?
228*f**3*p - p**2
What is the second derivative of -37*k**2*n**2 + 2*k**2 - 24*k*n - n**2 - 1 wrt k?
-74*n**2 + 4
Find the second derivative of 2*p**5 + 2*p**4 - 518*p**2 + 1970*p wrt p.
40*p**3 + 24*p**2 - 1036
Find the first derivative of -7*c*i*y + 20*c*y - 2*i*y + 103*i - 5*y wrt c.
-7*i*y + 20*y
What is the second derivative of 570*u**2*y**4 + 2*u**2*y + 2*u**2 - 23*y wrt y?
6840*u**2*y**2
Find the first derivative of 183*s + 196.
183
Find the first derivative of 2*o*w**3 + 5*o*w - 31*o*z - w**3*z - 1 wrt w.
6*o*w**2 + 5*o - 3*w**2*z
Differentiate -4*k**4*p - 69*k**2*p**2 + 4*p**2 - 2*p wrt k.
-16*k**3*p - 138*k*p**2
What is the third derivative of -11*q**5 + 3*q**3 - 91*q**2 wrt q?
-660*q**2 + 18
Find the third derivative of 284*l**6 - 22*l**2 wrt l.
34080*l**3
What is the third derivative of -14*f**3*n**2 - 9*f**3 - 265*f**2*n**2 wrt f?
-84*n**2 - 54
Find the second derivative of -l**3*y**2 + 375*l**2*y**2 - 3*l*y - 84*y**2 wrt l.
-6*l*y**2 + 750*y**2
What is the first derivative of -5698*q - 4312 wrt q?
-5698
Find the second derivative of -1908*q**4 + 163*q.
-22896*q**2
Find the second derivative of -55*p**3 + p**2*x + 32*p*x + p + 2*x wrt p.
-330*p + 2*x
What is the third derivative of -28*c**6 + 109*c**3*g - 5*c**2 + 124*c*g wrt c?
-3360*c**3 + 654*g
Find the first derivative of -6*b**3*h**3*l + 2*b*h**3 + 58*b + 72*h**3*l - 2*l wrt b.
-18*b**2*h**3*l + 2*h**3 + 58
What is the second derivative of -8167*d**2*m**2 - 5*d - 20*m**2 wrt d?
-16334*m**2
What is the first derivative of -f*p**2 - 1716*f + 1457*p**4 wrt p?
-2*f*p + 5828*p**3
Find the second derivative of -2*d**2*j**3 + 384*d**2*j**2*r**2 - 2*d*j*r**2 - 2*d*j + 34*d*r**2 + j**3*r wrt d.
-4*j**3 + 768*j**2*r**2
What is the derivative of -2*a*d**2 + 143*a*d*s**2 - a*s**2 + a*s + 146*a - 2*d**2*s wrt d?
-4*a*d + 143*a*s**2 - 4*d*s
Find the second derivative of -2*b**4*i**3 + 366*b**2*i**3 + 22*b*i**2 - 16*i**3 wrt b.
-24*b**2*i**3 + 732*i**3
Find the second derivative of -4*a**3*j**2 + 45*a**3*j + 13*a**3 + 4*j**5 wrt j.
-8*a**3 + 80*j**3
What is the second derivative of 15*k**2*q**2 + 9*k**2 - 16*k*q**2 + k*q + 3*k + 5*q**2 + 28*q wrt q?
30*k**2 - 32*k + 10
Find the third derivative of -p**3*w**3 - p**3*w**2 + p**2*w**2 + 327*w**3 + 724 wrt w.
-6*p**3 + 1962
What is the second derivative of -7*m**2*s**3 + 7*m**2*z**3 - 6*m**2*z - m*s**2*z**2 - 35*m*s**2 + s**3*z**3 - 2*s**3*z wrt m?
-14*s**3 + 14*z**3 - 12*z
What is the third derivative of -30*w**4 - w**3 + 181*w**2?
-720*w - 6
Find the second derivative of 4*i**2*q**3 - i**2*q*v**2 - 20*i**2*q*v + 398*i*q**3*v + 2*i*q*v**2 + q**3*v wrt i.
8*q**3 - 2*q*v**2 - 40*q*v
What is the third derivative of 2922*l**3 - 300*l**2?
17532
What is the third derivative of -143*l*z**3 + 4*l - 32*z**2 wrt z?
-858*l
What is the third derivative of -30*r**5*s + 92*r**4*s**2 + r**2*s**2 - 9*s**2 - 176*s wrt r?
-1800*r**2*s + 2208*r*s**2
What is the second derivative of 1697*v**2 - 14060*v wrt v?
3394
What is the third derivative of 9*a**2*b**3 - 136*a**2*b**2 - a**2 + 8*b**3 wrt b?
54*a**2 + 48
Find the third derivative of -30*c*t**3 + 7*c*t**2 + 16*c wrt t.
-180*c
Differentiate -l**4 - 679*l**3 + 2*l**2 - 14908 wrt l.
-4*l**3 - 2037*l**2 + 4*l
Find the second derivative of -516*q**4 + 200*q.
-6192*q**2
Find the second derivative of -42*c**5*u**3 - 5*c**5 + 134*c*u**3 - 3*c*u**2 wrt c.
-840*c**3*u**3 - 100*c**3
What is the third derivative of -1328*i**3*q**3 + 425*i**2 - 7*i*q**3 wrt i?
-7968*q**3
What is the second derivative of 5*q*r**2*y - 2*q*r*y - 12*q*r + q - 6*r**4*y - 13*r**2*y - 40*y wrt r?
10*q*y - 72*r**2*y - 26*y
What is the third derivative of -5851*j**5 - j**2 + 13281*j?
-351060*j**2
Find the second derivative of -109*z**3 - 10*z**2 - 12*z + 50 wrt z.
-654*z - 20
Find the first derivative of -397*m**3*q + 217*m**3 wrt q.
-397*m**3
Differentiate -2*v**4 + 166*v**2 + 400 with respect to v.
-8*v**3 + 332*v
Differentiate h**3*n**2 - 9948*h**3 - 3142*h*n**2 with respect to n.
2*h**3*n - 6284*h*n
What is the derivative of -d**3 + d + 296?
-3*d**2 + 1
Find the first derivative of 1046*l*v + v - 149 wrt l.
1046*v
What is the third derivative of -3792*y**4 - 16*y**2 + 20*y wrt y?
-91008*y
What is the second derivative of -2*o**3 + 82*o**2 + 391*o?
-12*o + 164
What is the second derivative of -978*y**4 + 15*y - 1?
-11736*y**2
Find the first derivative of 126*a**4 - 161 wrt a.
504*a**3
What is the second derivative of 18656*v**4 - 31176*v?
223872*v**2
Find the third derivative of -13*q**4 + 46*q**3 - 81*q**2 - 5 wrt q.
-312*q + 276
What is the second derivative of 3*x**4 - 384*x**2 + 19*x - 8?
36*x**2 - 768
What is the third derivative of 160*b**4*z + 2*b**3*z - 810*b**2*z wrt b?
3840*b*z + 12*z
Find the third derivative of -110*o**4 - o**3 + 844*o**2 wrt o.
-2640*o - 6
Differentiate q**2 + 64*q*z**3 + 2*z**3 + 7*z**2 wrt q.
2*q + 64*z**3
What is the derivative of -113*r + 239?
-113
Differentiate 3573*k + 1890.
3573
Find the first derivative of 876*l + 1268 wrt l.
876
Find the first derivative of -2*l**2*s - 6*l*q**2*s + 3*q**2*s + 22*q**2 wrt l.
-4*l*s - 6*q**2*s
What is the third derivative of -745*m**6 + 5*m**5*q**2 + 53*m**2*q**2 - 7*m*q**2 wrt m?
-89400*m**3 + 300*m**2*q**2
Differentiate 144*l + 328 wrt l.
144
Find the second derivative of 253*b*c**4 + 2*b*c**3 - b + 8*c + 55 wrt c.
3036*b*c**2 + 12*b*c
Find the third derivative of 3*w**6 - 13*w**5 + 315*w**2 - 2*w - | {
"pile_set_name": "DM Mathematics"
} |
= -0*k + k. Suppose -2*m + 2*s + 0*s - 8 = 0, -m - 4*s + 21 = k. Solve -m = 3*t + 8 for t.
-3
Let a be 2*2 + 12/(-12). Let w(g) = g**2 - g - 1. Let x be w(a). Solve y = x*y for y.
0
Let o(a) = -a**2 + a. Let y be o(2). Let d be y/(-7) - 594/(-77). Suppose d - 1 = p. Solve 2*s + p = 1 for s.
-3
Let t be (-30)/35*91/(-26). Solve -11*f + 3 = t for f.
0
Let u(k) be the second derivative of -k**4/12 - 4*k**3/3 + k**2 + 15*k. Let x be u(-8). Solve -3*r + 1 = -x*r for r.
1
Suppose 0 = 77*t - 71*t - 54. Solve -8*a = -t*a + 4 for a.
4
Suppose 0*a = 5*a - 2*d - 28, 4*a - 32 = 4*d. Suppose -z = 4*v + 4, a*v + 17 + 11 = -3*z. Let c be (z/10)/(2/(-15)). Solve 0 + c = 3*p for p.
3
Let m be -1*(-68)/12 - (-2)/6. Solve -m*f = -f + 5 for f.
-1
Let f = 21 + -18. Suppose 5 = s + f. Suppose s = 6*a - 10. Solve -3*z + a*z - 1 = 0 for z.
-1
Let t be ((-2)/8)/(-3 - 44/(-16)). Solve 0 = g - t + 6 for g.
-5
Suppose -136*b = -138*b + 8. Solve 64*w = 66*w + b for w.
-2
Suppose 15 = -c + 37. Suppose -c*b = -23*b + 10. Solve 3*n - n = b for n.
5
Let m(j) = -7 + 2*j**2 - 3*j**2 - 15*j - j**3 - 8*j**2. Let v be m(-7). Solve b + v = -1 for b.
-1
Let z be 10 - 10 - 1*-3. Let s be z*2 + (-13)/13. Solve -s*b + 10*b = -10 for b.
-2
Let q = -365 - -374. Solve q*b = 4*b for b.
0
Let s = 660 - 658. Solve s*h - 3*h = -2*h for h.
0
Suppose -13 + 42 = v + 5*r, -2*v + 23 = 3*r. Solve -v*b = -b + 6 for b.
-2
Let a(q) = q**2 + 4*q + 1. Let r be a(-3). Let f = 5 + r. Let x = -57 + 62. Solve f*y = x*y for y.
0
Suppose 262 = 5*r - 2*t, 5*t - 74 = 228*r - 229*r. Solve 0 = -7*y + r - 61 for y.
-1
Suppose -3*p - p = -80. Let j = -81 - -84. Solve -b - j*b + p = 0 for b.
5
Suppose -8 = -n - 3*c, 0 = -3*n + 2*n + 2*c + 3. Suppose n*a = -3*i - 11, -2*i = 2*a - 1 + 3. Solve -4*s = -i*s - 1 for s.
1
Suppose 5*g - 49 = -2*s - 63, 5*g = -20. Solve -60*f = -57*f - s for f.
1
Let b = 30 - 20. Suppose -y - 7 = -b. Solve y*k = 2*k - 5 for k.
-5
Let m(h) = 2*h**2 - 12*h + 8. Let y be m(6). Suppose -2*v = 4*a + 10, a - y = 5*v - 27. Solve -v*l = -2*l - 3 for l.
3
Let d = -8 - -5. Let x be 58/(-6)*d - 4. Let l = x + -25. Solve -1 = -y - l*y for y.
1
Let d = 4 + -1. Let z(q) = q**2 - 1 - 3 + 8 - 3. Let y be z(0). Solve i + d = y for i.
-2
Let n(f) = f**2 + 11*f - 25. Let p be n(-13). Suppose 3*s - 10 + p = 0. Solve -s*c - 2 = -5 for c.
1
Let h(j) = 0*j**2 - 8*j - 2 + 0 + 6 - 9*j**2 - j**3. Suppose -3 - 37 = 5*s. Let p be h(s). Solve 0 = -2*g + p + 4 for g.
4
Suppose 4*p - 22 = -3*q, -q + 10 = -4*p - 8. Suppose 3*r - 32 = q. Suppose -4*m = -2*l - r, -m + 2*l = -6*m + 4. Solve -m*t = -7*t for t.
0
Let o(z) be the third derivative of z**5/30 + z**4/24 - 2*z**3/3 - 2*z**2. Let u be o(-3). Suppose u = c - 5. Solve 0 - c = -4*f for f.
4
Let i = 3 + 15. Suppose -4*p + i = -2. Let s be 10/p - 1*2. Solve -l - l = s for l.
0
Let l be 1 + -1 + 0 - 2. Let j be (-27)/9 - 2*l. Let a = -24 - -24. Solve w = j - a for w.
1
Let u = 101 + -88. Solve -19 = 3*s - u for s.
-2
Let s be (5/2 + 1)*-14. Suppose 16*a = 10*a - 156. Let d = a - s. Solve -d = -5*p - 8 for p.
3
Let k(d) = -d + 4. Let r be k(4). Suppose 0*z = -6*z + 6. Suppose r = -2*o + o + z. Solve -a + 2 = -o for a.
3
Let n(i) = -i**3 + 6*i**2 - 8*i + 4. Let d be n(4). Suppose -d*z + 0*z - 3*m = 12, 0 = z + m + 4. Solve w - 5*w - 4 = z for w.
-1
Let t be 1/(2/(-8))*-1. Suppose a - 5 + 3 = 0. Suppose 4 = 142*g - 140*g. Solve a = g*k - t for k.
3
Let n(a) = a**2 - 7*a + 5. Let w be n(7). Let u be 1 + 43 - (7 - 4). Suppose -w*t - u = -3*y, 3*t - 9 = y - 4*y. Solve -y*k = -2*k + 10 for k.
-2
Suppose 3*u - 10 = -0*u - 4*j, -2*u + j + 25 = 0. Solve 0 = v - u*v - 36 for v.
-4
Let u = -221 + 227. Solve 23 + 1 = u*b for b.
4
Suppose -3*z + 6 = -0*z. Suppose -z*b = 5*s - 5 + 29, -4*s = b + 18. Let m be 30/20*s/(-3). Solve -5*r = -3 - m for r.
1
Let b(r) = -7*r - 1. Let v be b(-1). Let c(a) = a - 4. Let z be c(v). Let j(f) = f**2 + 21*f - 349. Let p be j(11). Solve z = -p*q - 1 for q.
-1
Suppose -v - 6 = -11. Let m be ((-48)/(-10))/(10/25). Solve m = v*l - l for l.
3
Suppose 5*a - 3*n = -177, 20 = 3*n + 2*n. Let t = -27 - a. Solve -3*j + 6*j = -t for j.
-2
Let o = -55 + 64. Solve o*j + 9 = 6*j for j.
-3
Let y(d) = d**3 - 30*d**2 - 3*d + 124. Let f be y(30). Solve -37*s - 3 = -f*s for s.
-1
Let r be 17 + (-11 - (-6 - 8)). Solve 0 = -5*d - 0*d + r for d.
4
Suppose 27*d - 11*d - 32 = 0. Let v be 0 + 1 - (-1 + 2). Suppose v + 6 = d*m. Solve t = m*t + 8 for t.
-4
Suppose 54 = -472*o + 481*o. Solve o = -k + 2 for k.
-4
Suppose -4*l - 5*l = 2*l. Solve l*u - u = -4*u for u.
0
Let j be 12*(-2)/((-4)/5). Let c = 21 - j. Let y(k) = -k - 7. Let n be y(c). Solve 0 = b - n - 3 for b.
5
Let g(s) = 14*s + 13. Let k be g(4). Let p = 74 - k. Solve 4*x - p*x - 4 = 0 for x.
-4
Let g be 2*1/(-4)*0. Suppose -2*u + 3*i + 23 = -g*u, 0 = 5*u - 3*i - 35. Solve -u*s - 8 = -8*s for s.
2
Let l(q) = q**3 - 3*q**2 - q - 3. Let i be l(4). Solve 4*r = -i + 5 for r.
-1
Let j = -9 - -11. Let k = j + 0. Suppose 6*w - 64 = k*w. Solve 4*l = -0*l + w for l.
4
Suppose 5*b = 3*x + 71, -2*b + 0*b - 60 = 4*x. Let i = -17 - x. Suppose 3*o - 3*q - 3 = i, o + q = 3*o - 1. Solve -2*d - d + 15 = o for d.
5
Let c = -3 - -7. Suppose -c*k - 2*q + 20 = -28, -30 = -5*k + 5*q. Solve 3*m - k = -1 for m.
3
Let d(j) = j**3 + 6*j**2 - 7*j + 9. Let k be d(-7). Let f be ((-12)/2)/(k/(-42)). Suppose -3*m - f = -5*n, 24 = 4*n + 5*m - 28. Solve -b - n = b for b.
-4
Let x(y) = -19*y - 124. Let z(d) = -6*d - 41. Let q(i) = 2*x(i) - 7*z(i). Let j be q(-9). Solve -8 = -t + j*t for t.
-4
Let c be 3 + ((-6*1)/(-3) - 3). Solve -c - 3 = -k for k.
5
Let n = 214 + -214. Solve 9*a - 12 - 15 = n for a.
3
Suppose 0 = 4*k - 3*g + 6, -3*g + 5*g = 2*k + 4. Suppose -9*t + 112 = -50. Suppose 0*v + t*v - 36 = 0. Solve k = 3*s - v - 1 for s.
1
Suppose -6*v = -2 - 22. Let o be (6/(-4))/(3/v*-1). Solve -c = o*c for c.
0
Let o = -6 - -9. Suppose 16 = -2*z + 6*z. Suppose 20 = -2*a - 5*i, z*i + 0*i + 16 = -5*a. Solve a = -w + o*w + 8 for w.
-4
Suppose 0 = -22*h + 14*h + 24. Let l be (-25)/(-15) - 2/(-6). Solve 0 = -l*d - h*d + 5 for d.
1
Let s be ((-3)/2 - 0)*-2. Suppose -4*x = -13*x - 22*x + 868. Solve -x = -s*g - 13 for g.
5
Let d be 3/(-2)*4/(-3). Let u be (-9)/d*(-8)/6. Suppose 2*k - 3*a = -k - u, -5*a = -10. Solve k*c = c for c.
0
Suppose 0 = 5*d + 5, -84 = -5*q - 5*d + 81. Suppose -8 = 4*n, -3*h + 4*n - 191 + q = 0. Let y be h/(-20) - (-3)/(-4). Solve 8 = -4*o + y*o for o.
-4
Suppose 3*f - 5*f = -44. Suppose 3*r - r - f = 0. Let w(t) = t**3 - 11*t**2 + t - 5. Let l be w(r). Solve -v = -l*v for v.
0
Let i be (0/42)/(1*2). Solve -14 = -14*z - i*z for z.
1
Suppose 14 = -9*c + 16*c. Solve -10 = -4*f - c for f.
2
Suppose 2*f = -h - 5, 3*f - h = f + 5. Solve -5*y + f*y + 25 = 0 for y.
5
Suppose 0 = 4*h + 32 + 4. Let n = h + 12. Suppose n = -p + 5. Solve p*s - 2 = 3*s for s.
-2
Let s be (-9)/12 - 23/(-4). Suppose -2*q + s*j = 45, 0*q + 4*j - 30 = q. Let f be 25/q*28/(-10). Solve f*p - 3*p = -12 for p.
-3
Let i be 1/7 - (-15664)/308. Solve -i*l - 21 = -58*l for l.
3
Let t(k) = 3*k**3 - 19*k**2 + 8*k - 9. Let v be t(6). Solve 7 = -2*i - v for i.
-5
Let j(x) = 3*x**2 + 11*x - 5. Let n be j(-4). Let r(w) be the first derivative of -w**2/2 + w + 1. Let y be r(n). Solve 2*h = -y*h for h.
0
Suppose 27 = q + 3*q + u, -u - 1 = 0. Suppose 2*c = q*c. Solve 4 = -f - c*f for f.
-4
Let o(a) = a**3 - 10*a**2 + 2*a - 19. Let t be o(10). Let g be t/2*42/3. Solve -3*m - g = -1 for m.
-2
Suppose z = 3*z - 5*w - 13, 5 = z - 4*w. Solve -c = 2*c + z for c.
-3
Let d be (-6)/(-2)*(120/36 - 3). Solve 2 = v + d for v.
1
Let z(h) be the second derivative of -h**4/12 - 11*h**3/6 + h. Let b be z(-14). Let i be ((-56)/b)/(2/3). Solve -3*d = -i*d - 4 for d.
4
Let l = 75 + -60. Solve 85*h = 80*h + l for h.
3
Suppose 8*n = -303 + 1271. Solve -n*m + 118*m = 12 for m.
-4
Let y(i) = 41*i - 243. Let q be y(6). Solve -5*h = q + 12 for h.
-3
Let v = 326 - 324. Suppose 3*m - 6*m + 6 = 0. Solve m*n = -6 + v for n.
-2
Let i(n) = n**2 + 25*n + 128. Let c be i(-18). Solve -2*a = -c + 6 for a.
-2
Suppose 0 = 4*i + 7*i. Suppose -3*j - 5*v - 5 = i, 5*j - 4*v = -2 + 6. Solve j*z - z - 2 = 0 for z.
-2
Let t(y) = 3*y - 3. Let n be t(3). Suppose -i - 5 - 4 = -h, 3*i = n. Let v = 16 - h. Solve 3 + v = -2*f for f.
- | {
"pile_set_name": "DM Mathematics"
} |
+ l*c and give i.
-18
Express (3 + 2 - 2)*(3 - 5 + 1)*(-1 + 1 + g + (-g + 2*g - 3*g)*(-3 + 0 + 2) - 2*g - 4*g + 5*g - 4*g - g + 2*g)*(4*g - 3*g + 7*g) as q*g**2 + o*g + k and give q.
24
Express (-3*b + 4*b - 2*b)*(b - 20 + 22 + b - 3*b**3) in the form w + l*b**3 + k*b + z*b**2 + a*b**4 and give a.
3
Express 2*q + 2*q - 2*q - 2*q**3 + 8*q**4 in the form y + d*q + r*q**4 + o*q**2 + p*q**3 and give p.
-2
Rearrange (-7 + 15*k + 7)*(-5 + 5 - 1)*(2 + 2 - 2 + (0 - 3 + 0)*(0 - 3 + 1)) to m + g*k and give g.
-120
Rearrange -111*h**2 + 132*h**2 - 3*h + 3*h to d + r*h**2 + y*h and give r.
21
Rearrange 2784*q - 121*q**2 - 2784*q to n*q + y*q**2 + z and give y.
-121
Rearrange (-49*h**2 + 49*h**2 + h**3)*(4*h - 3*h + 0*h) + h**4 + 2*h**4 - 5*h**4 to the form r*h**2 + k + n*h**3 + v*h + z*h**4 and give z.
-1
Rearrange 6*s + s**2 - 5*s + 2*s**2 - 4*s**2 - 4 to the form i*s**2 + l + f*s and give l.
-4
Rearrange (0*t + 2*t - 3*t)*(6*t + 1 - 1) + (-t**2 - 4*t**2 + 6*t**2)*(-1 - 2 + 2) - t**2 - 1 + 1 to h*t**2 + z*t + g and give g.
0
Rearrange 0*d + 2*d - 11*d - 4*d to s*d + h and give h.
0
Express (4 + 2 - 4)*(-1 + 5 - 3)*(-3*d**3 + 9*d**3 - 5*d + 3*d) in the form p*d**2 + l*d**3 + h*d + b and give h.
-4
Express -424*t + 215*t - 17 + 210*t in the form a + k*t and give k.
1
Express (-2*u + 2 - 3 - 1)*(-1 - 2 + 1 - 2 + 5 - 2 + 5 - 2 - 1 + (1 - 1 - 2)*(-3 + 0 + 1) - 2 + 2 + 2 + 2 + 3 - 4) as p*u + x and give p.
-16
Rearrange -81 - 3*y**2 + 76 + 5*y**2 to the form d*y + c*y**2 + g and give c.
2
Express 0*d**2 + 6*d**3 - d**2 + 4 - 4 as y*d**3 + t*d**2 + i*d + j and give y.
6
Express 7*w + 4*w + 2*w in the form r*w + q and give r.
13
Express 2*o**3 + 55*o - 4*o**2 + 3*o**4 - 2 - 54*o + 4*o**2 in the form p + m*o**4 + d*o**2 + w*o**3 + y*o and give m.
3
Express 0*n**2 + 4*n**2 + 2*n**2 + (n - n + 2*n)*(-2*n + n - n + 1) as l*n + y*n**2 + r and give y.
2
Rearrange -33*n + 1 + 31*n + 2 + (5*n - 6*n + 2*n)*(-4 + 2 + 3) - 4*n - n + 3*n to the form m + p*n and give m.
3
Express (-1 + 3 - 3)*(2*c - 3*c + 0*c)*(-10*c - 4*c**2 + 10*c) as h*c + u + b*c**3 + p*c**2 and give b.
-4
Express (1 + 1 - 4)*(0 + 0 + t) - 4 - 2*t + 4 + (-15 - 4*t + 15)*(-2 + 3 - 4) in the form m + d*t and give d.
8
Express 2*n**2 + 72 - 4*n**2 - 71 as f*n**2 + h + p*n and give f.
-2
Express (-1 + 6*h + 2*h**2 - 6*h)*(-3 - 2 + 4) in the form o*h + f*h**2 + u and give f.
-2
Express 20 + 9*z**2 - 8 - 11 in the form b*z + k*z**2 + m and give b.
0
Express 0*d**3 - 2*d**3 + 5*d + d + (-d + d - 2*d**2)*(-2*d + d - d) as w*d**2 + v + m*d + p*d**3 and give m.
6
Express (-2*y**2 + 0*y + 0*y)*(-33 + 80 + 5*y - 42) in the form x*y**2 + q*y + v*y**3 + h and give x.
-10
Express 8*z**2 + 35*z - 35*z as f*z + b + w*z**2 and give w.
8
Express -31*y + 14*y - 5*y**2 + 19*y in the form j + h*y**2 + b*y and give h.
-5
Express -5 + 1 - i**2 + 1 + 1 as v*i**2 + l + o*i and give v.
-1
Express (-6 - 1 + 4)*(15*o**2 + 13 - 13) in the form a*o + n + t*o**2 and give t.
-45
Rearrange 10288*c**2 + 1 - 10283*c**2 + c + 1 to the form p + z*c + i*c**2 and give z.
1
Rearrange (3*g**3 + 2*g**3 - 2*g**3)*(g - 2 - 2*g - 2*g) to s*g**4 + m*g**2 + p + z*g**3 + u*g and give s.
-9
Express 791*f + 142*f**2 - 791*f in the form i*f + h*f**2 + x and give h.
142
Express 3*v**2 + 2*v**3 - 162 + 81 - 3*v + 82 as d*v**3 + q*v + j*v**2 + u and give q.
-3
Express (2 - 2 - 1)*(4*n - 5*n + 0*n) - 2*n + n - n + 3*n + 2*n + 0*n in the form i + u*n and give u.
4
Express -15*p**2 + 15*p**2 - p - 5*p**3 as t*p + u*p**3 + s*p**2 + b and give t.
-1
Express (3*q - 2*q + q)*(2*q**2 + q + 0*q - 3*q**2) - 7*q**3 - 13*q**3 - 23*q**3 in the form f + n*q**3 + t*q + y*q**2 and give n.
-45
Express 2*w**3 - 4*w**3 - w**3 + 4*w - 4*w + 2*w**3 + (-2*w - 4*w + 4*w)*(-w**2 - 2 + 2) as c*w**3 + d + s*w**2 + q*w and give c.
1
Rearrange -9*s**3 + 11*s**3 + 17*s - 19*s - 9 to q*s**3 + f + c*s**2 + g*s and give q.
2
Rearrange -2*s**2 - 3*s - 2*s + 2 + 0*s**2 to l + a*s + h*s**2 and give a.
-5
Express 3 - 3 + q + (2*q - 2*q + 2*q)*(0 - 3 + 6) + 1 - 1 + q + (q - 2*q + 2*q)*(4 + 3 - 5) + 0*q + 3*q + 2*q as p + g*q and give g.
15
Rearrange (-2*l + 2*l - l)*(3*l + l - 2*l) + 3*l**2 - 3*l**2 - 2*l**2 + (8*l - 6*l + 5*l)*(-3*l - l + 6*l) to the form h*l**2 + d + u*l and give d.
0
Express (2*q + 3*q - 6*q + (1 - 1 - 2*q)*(-5 + 4 - 2))*(0 - 1 + 0) as o*q + y and give o.
-5
Express (4*k + 0*k - 2 + 1)*(-4*k**3 + 53*k**3 - 10*k**3) as u*k**4 + d*k + r + j*k**3 + a*k**2 and give j.
-39
Rearrange -7*c + 5*c - 6*c + 5 - 2*c to the form x*c + i and give i.
5
Rearrange 63*d**2 - 236*d**2 - 35*d + 35*d to the form b*d**2 + z + t*d and give b.
-173
Express (-6*p + p**2 - p - 2*p**2)*(5*p**2 + 0 + 0) as o + x*p**3 + f*p**4 + u*p**2 + n*p and give f.
-5
Express (-10*d + 10*d - 14*d**3)*(0 - 2 + 3) + (-d**2 + 4*d**2 - 2*d**2)*(0*d + 0*d + d) as v*d**3 + g*d + p*d**2 + l and give v.
-13
Express -2*l**3 - 8 + 2*l - 2*l + l + 2*l**2 - 2*l as t*l**2 + r + a*l**3 + o*l and give a.
-2
Express 5*j**3 + 3*j**2 - 6*j**2 + j**4 - 8*j + 2*j + 2*j**2 in the form m*j**2 + p*j**4 + t*j**3 + x*j + h and give x.
-6
Express (0*k + k - 2*k)*(0*k**3 - k**3 - 6*k**3) in the form c*k**4 + f + b*k + j*k**3 + x*k**2 and give c.
7
Express (67*i + 37*i + 179*i)*(-i - 3*i + 6*i) in the form s + w*i + r*i**2 and give r.
566
Express (-3 + 3*o + 3)*(-1 - 4 + 3) + (-2 + 3 + 1)*(-3*o + 4*o - 2*o) as m + w*o and give w.
-8
Express -26*z - 8*z - 2 + 18*z + (-3 + 3 - 1)*(-1 + z + 1) as n*z + v and give v.
-2
Rearrange -9*r + 7*r - 14*r to the form w*r + x and give w.
-16
Rearrange 16*y**2 + 7*y**2 - 21*y**2 - 26*y to x*y + r + h*y**2 and give h.
2
Express 3*x**2 - x + 2*x + 2*x - 4*x**2 as c*x**2 + s*x + u and give c.
-1
Express (-4*s + s + s)*(6 - 3 - 1 + (-1 - 2 + 1)*(-4 + 0 + 3))*(-51 + 35 - 35) in the form y + o*s and give o.
408
Rearrange -4 + 1 - 2*j**3 - j**4 + 0 - 2*j**2 to the form u + f*j**2 + o*j + l*j**4 + y*j**3 and give y.
-2
Rearrange (-1 + 1 + 4*v)*(-50 - 10 + 16) to z + q*v and give q.
-176
Express 1 + 2*g**2 - 2*g**2 - 18*g**3 + g**2 + 0*g**2 as n*g**2 + s*g + r*g**3 + f and give f.
1
Express r**3 + 0*r**2 + 5*r - 2*r**2 - 3 + 0*r**2 - 2*r in the form g*r**3 + o*r**2 + l + j*r and give o.
-2
Rearrange 11*n + 2*n + 39*n to f + l*n and give l.
52
Rearrange 35*w**2 + 3 + 0 - 5 - 12*w**2 to q + g*w**2 + m*w and give q.
-2
Rearrange (-a - a + a)*(-2 + 2 - 1) - 5 - 15*a - 11*a + 23*a to the form w + j*a and give j.
-2
Express -2*a**3 + 13*a**2 + 2*a + 5*a + 1 - 15*a**2 as y*a**2 + g*a**3 + c*a + z and give z.
1
Rearrange (2 - 4 + 0 + 4*f)*(-4 + 5 - 9) to w + n*f and give w.
16
Express -9*x + x**3 - 2*x**2 - 9*x + 20*x in the form s*x + k*x**3 + d + p*x**2 and give p.
-2
Express (-1 + 2 + 0)*(-t + t - 3*t**3) as p + q*t + m*t**3 + y*t**2 and give m.
-3
Rearrange -4*j + j**3 + 15*j - 2 + 9*j**2 - 10*j to w + v*j**2 + q*j**3 + b*j and give w.
-2
Rearrange (-5*b + 3*b + 0*b + 2*b + 2 - 2 + (0 + 0 + 1)*(-3*b + 2*b + 3*b))*(2 - 2 - 1)*(-1 + 3 - 1)*(9*b - 2*b + b) to x*b**2 + g*b + y and give x.
-16
Rearrange u**3 - 5*u**3 + 3*u**3 + (3*u + 3*u + 5*u)*(u**2 - 6*u**2 + 2*u**2) to b*u**2 + q + z*u**3 + y*u and give z.
-34
Express (0 - v + 0)*(v**2 + v**2 - 4*v**2) + 40*v**2 - 40*v**2 - 24*v**3 in the form r*v**3 + b*v**2 + i + t*v and give r.
-22
Express (6 - 3 + 1)*(-4 - 5 - 6)*(2*p**4 + p**4 - 5*p**4) in the form h + o*p + a*p**4 + v*p**3 + q*p**2 and give v.
0
Rearrange (-2*i**3 + 3*i - 3*i)*(0 - 5 + 2) - 1 - 2*i**3 + 1 to c + y*i**3 + f*i**2 + h*i and give y.
4
Rearrange 2 - b**2 - 2 + (-364 + 6*b + 364)*(-3*b + 3*b - b) + (3*b - b - b)*(2*b - b + 0*b) to k*b**2 + a + i*b and give k.
-6
Rearrange 8 + 10 + 5*b - 15 + (2 + 0 + 6)*(4*b - 5*b + 3*b) to the form u*b + q and give q.
3
Rearrange (-r + 5 - 1 - r**2 + 0*r**2)*(-3*r + 0*r + r) to y*r**2 + n*r**3 + p*r + d and give n.
2
Rearrange (-m + 2*m - 2*m)*(7 + 1 + 3)*(4 - m - 4)*(-2 + 1 - 1)*(-3 + 0 + 1) to the form u*m + d*m**2 + x and give d.
44
Express -110*f + 2 - 9*f**2 + 110*f - f**3 as j*f**3 + a*f + c + p*f**2 and give c.
2
Rearrange 4*l**2 + 2*l - l**3 + 5 - 3*l**2 - 11 to o*l**3 + f*l**2 + r*l + x and give r.
2
Express 93 - 93 + 2*x + 4*x in the form c*x + h and give c.
6
Express (3*d + 0*d - d + (4 - 1 - 5)*(-6*d + 5*d + 4*d) - 6*d + 4*d + 4*d)*(-3 + d**2 + 3) in | {
"pile_set_name": "DM Mathematics"
} |
5*n - 2*l - 17 = 6, -25 = -3*n + 4*l. Let b be x(n). What is the remainder when b + 51 - -3 - -2 is divided by 14?
12
Let c be -8*((-10)/8 + 2). Let o(p) = p + 6. Let b be o(c). Suppose -m - 2*q + 21 = b, 3*q = 4*m - 24 - 5. What is the remainder when m is divided by 6?
5
Let h = 1 - 1. Suppose -4*v + v + 84 = h. Let r = v + -19. What is the remainder when 26 is divided by r?
8
Suppose -2*i = -3*s + 3*i + 233, 2*s = -3*i + 130. Suppose n - s = -k, 7*n - 25 = 2*n. Calculate the remainder when k is divided by 17.
15
Let i(u) = -u - 9. Let d be i(0). Let w be -10*(-2 + d/(-6)). Let y = 10 + w. What is the remainder when 28 is divided by y?
13
Suppose 4*s = 20 + 28. Suppose -5*l + l + s = 0. Suppose -57 = -l*h - 0*h. Calculate the remainder when 55 is divided by h.
17
Calculate the remainder when 24 is divided by (-1 - (-7 - -2)) + 3.
3
Let a(g) = -2*g + 2. Let m be ((-5)/(-2))/((-5)/10). Calculate the remainder when 23 is divided by a(m).
11
Suppose 9*b + 56 = l + 5*b, 3*l - 5*b = 147. Calculate the remainder when l is divided by 16.
12
Suppose -14*g + 9*g + 15 = 0. Calculate the remainder when 0 - (-2 - -4 - 8) is divided by g.
0
Suppose 0 = -u - 2*u + 36. Calculate the remainder when u is divided by 4.
0
Suppose -3*j - 3 = -3*a, -17 = a + j + 4*j. Calculate the remainder when a/7 + (-1408)/(-28) is divided by 17.
16
Suppose -2*r + 50 = 3*l, -2*l + 3*r = r - 30. Calculate the remainder when 75 is divided by l.
11
Suppose 2*o - o + 5*c + 3 = 0, 5*o + 2*c - 8 = 0. Suppose 7*z = o*z + 170. Calculate the remainder when z is divided by 9.
7
Suppose -20 = -0*j - 4*j. Calculate the remainder when 18 is divided by j.
3
Suppose 5*f - 73 = 197. Calculate the remainder when f is divided by 29.
25
Let p(i) = -2*i**3 - 3*i**2 - 2*i - 4. Calculate the remainder when p(-3) is divided by 10.
9
Suppose a = 2 - 3, k + 2*a = -22. Let m be 1*-13 + (-1 - -1). Let s = m - k. What is the remainder when s is divided by 3?
1
Suppose 81 = 5*q - d, d + 52 = 4*q - 3*d. Let c = -4 + 100. Suppose j = 2*o + 2*j - c, -2*o - 5*j + 88 = 0. Calculate the remainder when o is divided by q.
15
Let n(x) = -x**2 - 12*x - 15. Calculate the remainder when 16 is divided by n(-9).
4
Suppose -5*u + 0 - 45 = 0. What is the remainder when 6/u + 280/6 is divided by 16?
14
Calculate the remainder when 30/((-1)/(-2)*4) is divided by 6.
3
Suppose -5*g + 47 + 23 = 0. Calculate the remainder when 40 is divided by g.
12
Let l(s) = -s**3 - 3*s**2 + 4*s + 2. Let r be l(-4). Let v = r - -10. Calculate the remainder when 23 is divided by v.
11
Let q(t) = t**2 - 6*t + 8. Suppose v - 3*v = -14. What is the remainder when v is divided by q(5)?
1
Let n(c) = c**2 + 14*c + 16. What is the remainder when 5 is divided by n(-13)?
2
Suppose -z = -2 - 14. What is the remainder when z + (2 + 1 - 6) is divided by 4?
1
Let d(h) = h**2 + 12*h - 7. Calculate the remainder when d(-13) is divided by 5 - (1 - (2 + -2)).
2
Suppose a = 2*a - 1. Suppose -2*b + a = -b. Calculate the remainder when 2 is divided by b.
0
Let s = 48 + -3. Suppose 3*d + 0*l - 2*l - 82 = 0, -4*d + 81 = 3*l. What is the remainder when s is divided by d?
21
Suppose -j - 29 = -5*j + 3*p, -5*p = 5*j - 10. Suppose 0 = 2*v - v - j. Let m = 7 + -3. What is the remainder when v is divided by m?
1
Let v(y) = -y**3 - 2*y**2 + 4*y + 2. What is the remainder when 4 is divided by v(0)?
0
Let f(g) = g**2 - 4 + 0*g + 3 + 3 - 5*g. Let m be f(2). Let b = m - -9. Calculate the remainder when 17 is divided by b.
2
Suppose -5*u - w = -55, -3*w - 18 - 33 = -3*u. Let m = -7 + u. Suppose 2*s + 4*y - 38 = 0, -2*s - s - y = -57. What is the remainder when s is divided by m?
4
Suppose c + 3*c - 32 = -4*x, x = 5*c - 64. Suppose -7*v + 20 = -2*v. Suppose -37 = -v*t + 147. What is the remainder when t is divided by c?
10
Calculate the remainder when 97 is divided by (-6)/21 - (-354)/14.
22
Suppose 2*r + 20 = 4*r + 4*z, 4*r - 4 = z. Let g(d) = -1 + d - d**r - 2 - 7*d. What is the remainder when 8 is divided by g(-4)?
3
Suppose 0 = -5*v + v + 40. What is the remainder when v is divided by 2?
0
Let c(g) = -7*g - 12. Let w = 2 + 3. Suppose 0 = w*l - 11 + 51. Calculate the remainder when c(l) is divided by 15.
14
Suppose -5*r + r - 52 = -4*t, 0 = -t - 2*r + 28. Suppose -t + 120 = 3*l. What is the remainder when l is divided by 9?
7
Let k = 142 - 113. Calculate the remainder when 82 is divided by k.
24
Suppose 12*p = 11*p + 14. What is the remainder when 25 is divided by p?
11
Let a(i) = -i + 18. Let d be (0 + 0)*(0 - 1). Let v be -2 - (-1 - 1) - d. Calculate the remainder when 35 is divided by a(v).
17
Suppose 0 = -j + 2*r + 6, -2*j + r - 2 = -17. Calculate the remainder when 53 is divided by j.
5
Let d(i) = 3*i + 5. Let c be (-2 - 1)*8/(-6). Suppose -3*r + 111 = c*y - y, r = y + 41. Calculate the remainder when r is divided by d(5).
19
Suppose 0*b - 8*b + 536 = 0. What is the remainder when b is divided by 35?
32
Suppose 4*u + 19 = 4*b - 1, 2*b - 10 = -4*u. Suppose 0 = 2*x + b*s - 36, 8 = 3*s - s. What is the remainder when 22 is divided by x?
6
Suppose -h - h = -10. Let d(k) = k - 3. What is the remainder when h is divided by d(5)?
1
Suppose -4*p + 2 = -26. Let s(v) = 2*v**3 + 2*v. Calculate the remainder when s(2) is divided by p.
6
Suppose -6 = -19*k + 17*k. Let b = 7 - 5. What is the remainder when k is divided by b?
1
Suppose -2*k - 2*k - y = -33, 0 = 5*k + 3*y - 50. Let o(g) = g**3 - 5*g**2 + g + 8. What is the remainder when o(5) is divided by k?
6
Suppose b - 4*p = -5, -5*p + 7 = b - 24. Let q = -8 + b. Calculate the remainder when 5 is divided by q.
2
Suppose -2*h + 1 = -3. Let c(j) = -j**3 - 7*j**2 - 8*j + 3. Let m be c(-6). Suppose 5*g - 35 = -v, -h*v + 5 = m. What is the remainder when 15 is divided by g?
7
Suppose 6*s - 4*s = 28. Calculate the remainder when 39 is divided by s.
11
Let k = 138 - 93. What is the remainder when k is divided by 24?
21
Let y(a) = -3 + 5 - 1 - a. Suppose -5*k = 33 + 7. Calculate the remainder when 25 is divided by y(k).
7
Let u(b) = 2*b - 4*b - b + 1 + 2*b**2. Let j be u(3). Suppose s + j = 2*a, 2*a + 3 = -5*s + 1. What is the remainder when 7 is divided by a?
3
Suppose 100 = 7*u - 75. What is the remainder when 198 is divided by u?
23
Suppose -4*i = w - 61, -5*i + w = -w - 73. Let m = 0 - -57. What is the remainder when m is divided by i?
12
Let b(q) = q - 1. Let h be b(2). Let d be 0 - 0 - h - -5. What is the remainder when 22 is divided by (d/(-10))/(2/(-60))?
10
Suppose -8*i + 9*i - 7 = 0. What is the remainder when 39 is divided by i?
4
Let a(p) = -19*p + 2. Let w be a(-2). Suppose -3*c - 3 = 5*m, -4*c - 2*m + 5 = -5. Calculate the remainder when w/7 + (-4)/(-14) is divided by c.
2
Suppose 3*p - 45 = 5*k + 36, -66 = 4*k - 3*p. Let j = 4 - k. Calculate the remainder when (-8)/28 - (-387)/7 is divided by j.
17
Suppose 0 = 7*h - 137 + 18. Calculate the remainder when 95 is divided by h.
10
Let t(a) = 4*a + a**3 - 3*a - 5*a**2 + 3*a**2. Let j be t(2). Suppose -2 + 4 = j*m. What is the remainder when 2 is divided by m?
0
Let a = 3 - 3. Suppose 3*v - 5 - 13 = a. What is the remainder when v is divided by 4?
2
Let b = -12 - -95. What is the remainder when b is divided by 21?
20
Let k be (-66)/(-10) + 4/10. Let m = k - 6. What is the remainder when m is divided by 1?
0
Suppose 7*h - 59 = -3*y + 2*h, 5*y - 61 = h. What is the remainder when 50 is divided by y?
11
Let y = -628 + 928. Suppose -3*c = -6*c - y. Calculate the remainder when c/(-12) - 2/6 is divided by 3.
2
Let y(q) = q**3 + 8*q**2 - 11*q + 4. What is the remainder when 86 is divided by y(-9)?
20
Let c = -11 + 67. Calculate the remainder when 276 is divided by c.
52
Let z = 3 - -6. Suppose -a - 4*a = -70. Calculate the remainder when (-2 - 1)*z*-1 is divided by a.
13
Let i(s) = -s**2 + 8*s - 4. Let h be i(7). Suppose -22 = -h*y + 2. What is the remainder when y is divided by 3?
2
Suppose 2*o - 4*o = -4. Suppose -o*f = -5*f. Suppose f = -4*q + 66 + 94. Calculate the remainder when q is divided by 14.
12
Let x(s) = s**3 + 13*s**2 - 2*s + 7. What is the remainder when x(-13) is divided by 12?
9
Suppose 5*t - 116 = t. Suppose -g - 54 = -v, 6*v - g - 278 = v. What is the remainder when v is divided by t?
27
Suppose -45 = -d + 6*d. Let q(h) = -2*h**3 - 5*h**2 - 3*h - 2. Calculate th | {
"pile_set_name": "DM Mathematics"
} |
234
What is the derivative of -31*n - 25 - 148 + 11140*n**2 - 11154*n**2 + 8 + 12 wrt n?
-28*n - 31
Let r(t) = -2*t**2 + t + 1. Let g(v) = -2057*v**3 - 6*v**2 - 271*v + 9. Let l(o) = -g(o) + 3*r(o). What is the second derivative of l(d) wrt d?
12342*d
Let v(x) = 91. Let g(i) = 5198*i + 2454. Let z(a) = -g(a) - v(a). What is the first derivative of z(p) wrt p?
-5198
Let o = 179 - 93. What is the third derivative of -42*q**2 + o*q**2 - 12*q**2 - 5*q**3 wrt q?
-30
Let y(r) be the third derivative of 0 - 1/6*r**3 + 1/8*r**4 - 4*r**2 + 53/120*r**6 + r + 0*r**5. What is the second derivative of y(m) wrt m?
318*m
Let b(f) = -2*f + 12. Let s be b(1). What is the second derivative of s*u**3 - 185*u + 133*u**3 + 35*u wrt u?
858*u
Suppose 3*l = 4*l - 9. Suppose -l*m = -6*m - 39. What is the second derivative of 14*i - i + m*i + i**5 - 17*i**5 wrt i?
-320*i**3
What is the second derivative of -1316*f**3 - 4008*f**3 + f - 4925 + 694*f**3 wrt f?
-27780*f
Let d(i) = 30*i**3 - 200*i**2 - 3128*i - 7. Let t(c) = -15*c**3 + 101*c**2 + 1564*c + 4. Let u(l) = -4*d(l) - 7*t(l). Find the second derivative of u(h) wrt h.
-90*h + 186
Let o(j) = 123*j**3 - j**2 + 3*j - 1704. Let z(b) = -8*b**3 - b - 1. Let c(f) = o(f) + 4*z(f). Differentiate c(i) wrt i.
273*i**2 - 2*i - 1
What is the derivative of 981*c**3 + 50*c - 50*c + 434*c**3 + 695 wrt c?
4245*c**2
Let d be (0 + 1)/(2/(-4)) + -444. Let q = d - -983. Find the third derivative of q*s**3 + 17*s**4 - 20*s**2 - 537*s**3 wrt s.
408*s
Let p(a) be the third derivative of 283*a**8/336 - 4*a**7/105 - a**5/60 - 5*a**4/12 - 91*a**3/3 - 1774*a**2. What is the third derivative of p(c) wrt c?
16980*c**2 - 192*c
Let d be 1/(-16)*-8 - 228/(-8). Find the second derivative of -9 + 26*n**2 - 24*n**2 + d*n**3 + 3 - 81*n + 91*n wrt n.
174*n + 4
Suppose 0*d - 2*z = 4*d - 622, 0 = -z + 5. Differentiate d + 20 - 2 - 2*h + 8*h + h wrt h.
7
Suppose 0 = 376*j - 372*j. Let z(s) be the third derivative of 5*s**2 + 0*s + 0 - 1/3*s**5 + 7/3*s**3 + j*s**4. Find the first derivative of z(v) wrt v.
-40*v
Let g = -3934 - -6183. What is the derivative of -2249*w**2 + 206*w**3 + 81 + g*w**2 + 106 wrt w?
618*w**2
Let c(m) be the third derivative of -1027*m**7/210 - 11*m**5/12 + m**4/12 - 44*m**2. Find the third derivative of c(r) wrt r.
-24648*r
Let r(i) = 12*i - 41. Let j(n) = -12*n + 98. Let d be j(8). Let h(p) = 59*p - 205. Let o(a) = d*h(a) - 11*r(a). Find the first derivative of o(t) wrt t.
-14
What is the second derivative of -32*r**3 + 58704*r**4 - 4098*r - 2*r**5 - 3359*r - 58731*r**4 - 3877*r wrt r?
-40*r**3 - 324*r**2 - 192*r
Let z be (-2)/11 - 8/(-44). Let l be (z + -2)/4*0. What is the third derivative of l*g**3 + 9*g - 9*g - 9*g**3 - 13*g**2 wrt g?
-54
Differentiate -3438*d**3 - 23*d**4 + 3438*d**3 + 12*d**2 - 1185 with respect to d.
-92*d**3 + 24*d
Let b(o) = o**2 + o - 2. Let a(w) = -1144*w**2 - 8*w - 491. Let q(c) = -a(c) - 5*b(c). What is the second derivative of q(j) wrt j?
2278
Let j be (-5)/2*(-2 - (-20)/25). What is the third derivative of -d**4 - 14*d**3 + 8*d**3 + 11*d**j + 50*d**2 wrt d?
-24*d + 30
Let t(m) be the third derivative of 1/20*m**5 + 0*m - 1/6*m**3 + 1/10*m**6 - 1/4*m**4 - 71*m**2 + 0. What is the second derivative of t(r) wrt r?
72*r + 6
Find the third derivative of -59*u + 59*u + 4*u**2 - 6175*u**3 + 958 - 1013*u**3 + 92 wrt u.
-43128
Let w(d) be the third derivative of d**7/210 + 319*d**6/60 - 327*d**5/20 + 15*d**2 - 52. What is the third derivative of w(c) wrt c?
24*c + 3828
Let c(b) = -4461*b**2 + 339*b - 2. Let d(l) = 44613*l**2 - 3384*l + 21. Let r(x) = 21*c(x) + 2*d(x). What is the second derivative of r(a) wrt a?
-8910
Let a(b) = b**3 + b**2 + b + 10. Let t be a(0). Differentiate 2*n + 8*n - 146*n**4 - t*n - 114 wrt n.
-584*n**3
Let k = 42 - 93. Let h = k + 53. What is the derivative of 4*b + 516*b**h - 4*b - 14 - 539*b**2 wrt b?
-46*b
Let s(q) be the first derivative of -111 - 39/2*q**2 - 72*q. Differentiate s(h) with respect to h.
-39
Let f = -158 - -158. What is the second derivative of 79*o**3 + f + 10*o**3 - 8 - 7*o wrt o?
534*o
Let t = -458 - -463. Find the second derivative of -66*b - 57*b + 19*b**t + 52*b - 26*b wrt b.
380*b**3
Let t = 45 - 46. Let y = 14 - t. Find the second derivative of 6*f**5 + y*f - f - 6*f + 6*f wrt f.
120*f**3
Let w(y) = 5*y + 89. Let x be w(-13). Find the second derivative of -c**2 + 35*c**4 - 5*c**3 + x*c - 4*c**3 - 1 - c**2 + 9*c**3 wrt c.
420*c**2 - 4
Let u = -541 + 550. What is the derivative of -32 - q - q**2 + 0*q + u*q**2 - 4*q + 264 wrt q?
16*q - 5
Suppose w + 5*t = 78, -t = 4*w - 252 + 16. Find the first derivative of 112 + 159*p - w*p - 65*p wrt p.
36
Let p(a) be the second derivative of 136*a**6/15 - a**4/6 - a**3 + 161*a**2/2 + 4945*a. Find the second derivative of p(x) wrt x.
3264*x**2 - 4
Let w(q) be the second derivative of -286*q**7/21 + 1046*q**4/3 + 27*q - 17. What is the third derivative of w(v) wrt v?
-34320*v**2
Let m(b) be the first derivative of -2415*b**6/2 - 27*b**2 - 4*b - 3842. Find the second derivative of m(t) wrt t.
-144900*t**3
Let p(z) be the first derivative of -89*z**6/3 - 5*z**4/4 - 458*z**3 - 650. What is the third derivative of p(f) wrt f?
-10680*f**2 - 30
Let j = -323 - -321. Let l(k) = -161*k**2 - 8*k + 159. Let v(z) = 805*z**2 + 44*z - 795. Let n(h) = j*v(h) - 11*l(h). Find the first derivative of n(m) wrt m.
322*m
Let b be (9 + -10)/(1/(-3)). Suppose -b*r - 72 = -7*r. Differentiate -r - 3*c**3 + 1 - 2*c**3 - 2*c**3 with respect to c.
-21*c**2
Let j(m) = m - 6. Let s be j(9). Let a be -2 + 1 + s + 2. Differentiate -17*u**4 + 36 - 45 + 3*u**a wrt u.
-56*u**3
Suppose -37 = -r - 2. Find the third derivative of r*h**5 + 16*h**2 - 16*h**2 + 60*h**2 wrt h.
2100*h**2
Let c(k) be the second derivative of -697*k**6/5 - 1241*k**4/4 - 2032*k. What is the third derivative of c(s) wrt s?
-100368*s
What is the third derivative of 93*l**5 + 980*l**2 - 134*l**5 + 64*l**4 + 42*l**5 wrt l?
60*l**2 + 1536*l
Suppose -40 = -c - 2*n - 4, 0 = 4*n. What is the derivative of 70*a**2 - c - 2*a - 26 - 114*a**2 - 97*a**2 wrt a?
-282*a - 2
Let a(s) be the first derivative of 486*s**2 + 267*s - 1181. What is the first derivative of a(g) wrt g?
972
Let h(a) = a**2 - 10*a - 5. Let c be h(11). Suppose -c*l = -21 + 9. Find the third derivative of 5*s**2 - 3*s**l + 9*s**6 + 0*s**2 - 23*s**6 wrt s.
-1680*s**3
Find the first derivative of 230*p**2 - 1001 - 17*p**2 + 5*p**2 - 961 - 4*p wrt p.
436*p - 4
Let v = 19 + -15. Let m be -2 - (-3)/(3/v). Find the second derivative of 6*a - 619*a**m + 619*a**2 + 10*a**5 wrt a.
200*a**3
Let c(w) be the first derivative of w**6/30 - 24*w**5/5 - 160*w**2 + 4*w + 173. Let a(i) be the first derivative of c(i). Differentiate a(r) with respect to r.
4*r**3 - 288*r**2
Suppose 0 = -461*z + 451*z + 40. Find the second derivative of 24*t - 77*t**z - 4*t**4 + 108*t - 6*t wrt t.
-972*t**2
Let c = 1022 + -328. What is the second derivative of -2*h**2 + 49*h + 190*h + 678*h**4 - h**2 - c*h**4 wrt h?
-192*h**2 - 6
Let x(g) be the second derivative of 5*g**6/6 - 29*g**5/20 - 991*g**4/4 + 3912*g. What is the third derivative of x(h) wrt h?
600*h - 174
Let o(u) be the second derivative of u**4/6 + 1247*u**3/3 - 2115*u**2 - 477*u. What is the first derivative of o(h) wrt h?
4*h + 2494
What is the second derivative of -391*s**3 + 529*s**3 + 1239*s**3 - 17*s + 99*s**3 + 5 - 20*s wrt s?
8856*s
Let n(d) be the first derivative of -34*d**5/5 + d**3 - 109*d + 89. What is the third derivative of n(j) wrt j?
-816*j
Let d(q) be the first derivative of 3*q**5/20 - 20*q**3/3 + 83*q + 88. Let t(x) be the first derivative of d(x). What is the second derivative of t(c) wrt c?
18*c
Let q(b) be the second derivative of -115/12*b**4 + 0 + 0*b**2 + 20/21*b**7 + 0*b**5 + 0*b**3 - 107*b + 0*b**6. Find the third derivative of q(r) wrt r.
2400*r**2
Let y = 14 - 4. Let r be ((-22)/(-55))/(2/y). What is the third derivative of 5*o**5 - 4*o**2 + 6*o**2 + 11*o**r wrt o?
300*o**2
Let p = -82 - -82. Let t be p - (10/(-4) - -3)*0. What is the first derivative of -15 + t - 18 - 12*z wrt z?
-12
Suppose -25*r + 22*r + 96 = 0. Suppose -3*h = -5*i - 20, 0*i + i - r = -3*h. Find the second derivative of -251*z**2 + 239*z**2 - h*z + 0*z wrt z.
-24
Let y = 278 + -239. Differentiate y | {
"pile_set_name": "DM Mathematics"
} |
+ -162. What is the remainder when n is divided by 7?
4
Let t(l) = -l**2 + 13*l + 7. Let d(w) = -4*w - 19. Let a be d(-7). Suppose -27 = -k - 2*k. Calculate the remainder when t(a) is divided by k.
7
Suppose -4*x + 7 = 5*z, z = 2*z + 1. What is the remainder when (-3 + 3)/4 + 12/((-228)/(-589)) is divided by x?
1
Let k(f) = 6*f**2 - 4*f**2 - 99 + f**2 + 5*f**2 - 6*f**2 - 11*f. What is the remainder when k(16) is divided by 41?
32
Let b be (217/21)/(6/36). Suppose -5*x + 172 = b. Let l(w) = w + 76. What is the remainder when l(0) is divided by x?
10
Calculate the remainder when 285 is divided by (-110)/100 + 4/(-10) - 597/(-6).
89
Let m(y) = -y**3 + 12*y**2 + 17*y + 13. Suppose i + 39 = 4*i. Let a be m(i). Let n = 144 - a. What is the remainder when n is divided by 9?
7
Let z(d) = 241*d + 1744. Calculate the remainder when 314 is divided by z(-7).
29
Suppose p = -5*m - 43 - 62, p - 5*m + 85 = 0. Let r = p + 88. Let j(y) = -10*y - 26. Calculate the remainder when j(r) is divided by 6.
2
Let y(p) = 5*p + 9. Let l = -40 - -45. Let r be y(l). Suppose 0 = -4*x + r + 42. What is the remainder when 75 is divided by x?
18
Calculate the remainder when (-1)/(-3) + -11 + (10 - 752/(-12)) is divided by 24.
14
Let p(t) = 37*t + 5252. Calculate the remainder when 977 is divided by p(-116).
17
Let d = 137 + -98. Let j = 102 - d. Calculate the remainder when 187 is divided by j.
61
Let f be ((2 - -214) + -1)*1. Suppose 43 + f = 6*q. Suppose -k - 27 = -q. What is the remainder when 56 is divided by k?
8
Suppose 6*b + 187 = 247. Suppose 870 = b*g - 4*g. What is the remainder when g is divided by 49?
47
Let m = -172 + 339. Let j = 310 - m. What is the remainder when j is divided by 21?
17
Suppose 34*w + 45 = 31*w. Let a(n) = n**2 + 7*n - 3. Let z be a(w). Suppose -319 = -2*q - z. Calculate the remainder when q is divided by 27.
20
Let w(y) = 6*y**2 - 4*y + 9. Let c be w(-3). Suppose -j - 61 = -c. What is the remainder when 109 is divided by j?
11
Suppose 0*o + 11 = o + 4*j, -63 = -4*o + 3*j. Suppose 55*p - 59*p + 400 = 0. Suppose -6*m + p = -134. Calculate the remainder when m is divided by o.
9
Let n be ((-8)/12)/((-4)/804). Suppose 0 = -7*h + 20 + n. Suppose 2*c - 161 - 9 = 2*p, -3*c + 239 = 5*p. What is the remainder when c is divided by h?
17
Let b(f) = -f**2 + 7*f + 41. Let j be b(-4). What is the remainder when (1/j)/((-7)/1512) is divided by 16?
8
Let u be (-1 - -5)/((-4)/(-8)). Let x(l) = -l**2 + 8*l - 3. Let m be x(u). Calculate the remainder when 37 is divided by (-16)/(-24) - 37/m.
11
Suppose -3*n - 5*z + 9828 = 0, n = -51*z + 53*z + 3254. What is the remainder when n is divided by 43?
41
Let r = -33 + 91. Suppose 0 = -15*u + 487 - 1297. Let c = r + u. Calculate the remainder when 16 is divided by c.
0
Let f = 8420 + -6568. What is the remainder when f is divided by 265?
262
Let i = -2743 + 4129. Suppose 9*o - i - 279 = 0. Calculate the remainder when o is divided by 35.
10
Let z = 637 - 594. Let v(y) = -2*y**3 + 20*y**2 + y - 7. Let u be v(10). What is the remainder when z is divided by (2*3)/u - (-2 - 7)?
10
Suppose -27*w + 9*w = -108. What is the remainder when 50 is divided by w?
2
Suppose -2*v + 4*r = 810, -409 = 11*v - 10*v + 2*r. Let h = -402 - v. Suppose 0*b = 3*b - 129. What is the remainder when b is divided by h?
3
Suppose 4*h + 12 = 8*h, 4*r + 16 = -4*h. Calculate the remainder when (3 + r)*(-7)/2 is divided by 9.
5
Let b = -6392 + 6650. What is the remainder when 521 is divided by b?
5
Let o = 10 + -8. Suppose 2*c = -o + 8. Suppose -3*y + 90 = 4*p - 6*y, c*p + 4*y = 80. Calculate the remainder when 69 is divided by p.
21
Let r(f) = 1029*f - 4078. What is the remainder when 783 is divided by r(4)?
23
Calculate the remainder when (-8)/12*(-688 - 9/((-117)/(-26))) is divided by 94.
84
Let m = 177 - 177. What is the remainder when (m + -8 - -16) + 19 is divided by 0 + (-1)/((-2)/20)?
7
Let u = -36 - -1072. Suppose -13*q + 27*q = -u. Let s = q - -95. What is the remainder when 39 is divided by s?
18
Let m(y) = 2*y**2 - 21*y + 28. Let q be m(10). Suppose -q*r + 0*r = -1062. What is the remainder when 199 is divided by r?
22
Let i(x) = -42*x - 64. Calculate the remainder when 212 is divided by i(-5).
66
Let b = 9386 + -9135. What is the remainder when b is divided by 87?
77
Let t(y) = 6*y**2 - y. Let r be t(1). Suppose r*c - 133 = -3*p, 2*c + 2*p = -0*p + 50. Let a = -19904 + 19956. What is the remainder when a is divided by c?
23
Let h(q) = 163*q**2 + 29*q - 1. Calculate the remainder when h(-2) is divided by 104.
73
Suppose -2*f + 2 = 0, 0 = 5*d + 447*f - 445*f - 107. Calculate the remainder when 11190 is divided by d.
18
Let m(x) = x**3 + 13*x**2 + 6*x + 9. Calculate the remainder when m(-10) is divided by 56.
25
Let j = -16 - -18. What is the remainder when (-153)/(-11) - (-66)/726 is divided by j?
0
Suppose 6 = -4*p - 2*u, 4*u - 8 = -p - 2*p. What is the remainder when 149 is divided by ((-4)/6)/((-940)/234 - p)?
32
Let j be -3*3/((-36)/20). Suppose j*s - 637 = -4*v, v - 597 = -3*v + 3*s. What is the remainder when v is divided by 31?
29
Let f = 10217 + -10160. What is the remainder when f is divided by -1*(18 + -1)*-1?
6
Let s = 4 - 1. Let z(a) = -a**3 - 5*a**2 - 6*a + 10. Calculate the remainder when z(-4) is divided by (-72)/(-27) + 1/s.
0
Let u(i) = i**3 + 14*i**2 + 15*i + 26. Let x be u(-13). Suppose -2*v + 161 + 443 = x. What is the remainder when v is divided by 19?
17
Let b(a) = -a**3 + 10*a**2 - 14*a + 15. Suppose -60 = 226*l - 238*l. Calculate the remainder when 627 is divided by b(l).
67
Let o = -23 - -15. Let w(h) = -11*h - 15. Let f(s) = -s**2 + 14*s - 8. Calculate the remainder when w(o) is divided by f(9).
36
Suppose -3*r - 15*r = -10*r - 880. Calculate the remainder when 431 is divided by r.
101
Suppose -45*q = -206 - 1819. Calculate the remainder when 265 is divided by q.
40
Let i(k) = 2*k**3 - k**2 - 4. Suppose 0 = -23*j + 85*j + 30*j - 1564. What is the remainder when i(3) is divided by j?
7
Let x(l) = 2*l + 156. What is the remainder when x(7) is divided by 2332/52 + 4/26?
35
Let y(b) = -60*b**2 - 1. Let u be y(-1). Let j(f) = f**3 + 6*f**2 + 13*f + 32. Let o be j(-6). Let s = o - u. Calculate the remainder when 52 is divided by s.
7
Let s(a) = a**2 - a + 7. Let m be (-88)/(-12) + (12/(-9) - -2). Let g be s(m). Let v = 106 - g. What is the remainder when v is divided by 8?
3
Let d be ((-42)/(-4))/(2/4 + 0). Suppose 10*o = 7*o - d. Let g(l) = -l**3 - 7*l**2 - 2*l - 3. What is the remainder when 30 is divided by g(o)?
8
Let a = 233 + -221. Suppose 10*k + 42 = a*k. Calculate the remainder when 4/(-12)*249/(-1) is divided by k.
20
Suppose -2*g = -3*r + 78, -5*r + 8*g - 9*g = -104. Let c be (33/6 - 2)*8. Suppose -2*o = 2*o - c. What is the remainder when r is divided by o?
1
Let t be 20/90 + (-232)/(-9). Suppose 22*j - 20*j = t. Suppose 0 = 6*f - 9*f + 147. Calculate the remainder when f is divided by j.
10
Let i(w) = 81*w**3 - 2*w**2 + 34*w - 30. Calculate the remainder when 578 is divided by i(1).
80
Let u = -11212 + 11676. What is the remainder when u is divided by 66?
2
What is the remainder when (-12)/42 - (-2412)/63 is divided by 30?
8
Let x = 64 + -59. Suppose 0 = -7*o + 118 + 8. Suppose 8*w - 2 = 13*w - 3*p, w + 4*p = o. Calculate the remainder when x is divided by w.
1
Suppose 110166 = -61678*p + 61699*p. Calculate the remainder when p is divided by 32.
30
Let v = 21 - 3. Suppose 5*o = 17 + v. Suppose 0 = -3*w + 5*s + 37, w = 5*s - 1. Calculate the remainder when w is divided by o.
5
Let w(z) = z**2 - 4*z - 17. Let o(m) = 3*m + 7. Let g(x) = 10*x + 21. Let i(p) = 2*g(p) - 7*o(p). Calculate the remainder when i(-22) is divided by w(7).
3
Suppose -4*f = f - 50. Suppose f*y = 5*y + 70. Calculate the remainder when y is divided by 1 - ((-40)/25 + 4/(-10)).
2
Suppose 425*h - 426*h + 883 = 0. Suppose -4*m + 10*s = 8*s - 706, -3*s = -5*m + h. What is the remainder when m is divided by 48?
32
Let p(j) = -j**3 - 9*j**2 - 12*j - 20. What is the remainder when 2020/40*(-4)/(-1) is divided by p(-8)?
10
Let d = 6037 + -6007. Calculate the remainder when 4524 is divided by d.
24
Suppose -n + 2*w + 7 = 3*w, -5*n = 3*w - 39. Suppose 6*c + n*c = 825. Calculate the remainder when 383 is divided by c.
53
Let b be 72/(-7) + (-18)/( | {
"pile_set_name": "DM Mathematics"
} |
prime factors of 57803383?
11, 17, 309109
What are the prime factors of 222513073?
222513073
What are the prime factors of 165072986?
2, 13, 101, 62861
What are the prime factors of 648275158?
2, 8747, 37057
List the prime factors of 242301139.
461, 525599
List the prime factors of 599213.
599213
What are the prime factors of 24633597?
3, 101, 81299
What are the prime factors of 316686802?
2, 8209, 19289
List the prime factors of 935524707.
3, 13, 47, 510379
List the prime factors of 52960681.
47, 1126823
List the prime factors of 4136682579.
3, 1021, 1350533
List the prime factors of 974349839.
89, 10947751
What are the prime factors of 60153681?
3, 7, 79, 101, 359
List the prime factors of 46230765.
3, 5, 7, 31, 2029
What are the prime factors of 241174133?
241174133
List the prime factors of 90576522.
2, 3, 1677343
What are the prime factors of 1045587128?
2, 1319, 99089
What are the prime factors of 728836410?
2, 3, 5, 17, 29, 49279
What are the prime factors of 29146009?
167, 174527
What are the prime factors of 1373856290?
2, 5, 41, 277, 12097
List the prime factors of 83194675.
5, 3327787
What are the prime factors of 38938253?
223, 283, 617
What are the prime factors of 998809708?
2, 13, 19, 31, 32611
List the prime factors of 1580613962.
2, 790306981
List the prime factors of 86214734.
2, 281, 153407
What are the prime factors of 1009579046?
2, 7, 31, 332317
List the prime factors of 1374648405.
3, 5, 13, 7049479
What are the prime factors of 1749891396?
2, 3, 11, 17, 79, 9871
What are the prime factors of 2242826070?
2, 3, 5, 29, 733, 3517
List the prime factors of 66466176.
2, 3, 7, 79, 313
What are the prime factors of 50906917?
859, 59263
List the prime factors of 333317142.
2, 3, 281, 65899
What are the prime factors of 71461093?
11, 431, 15073
What are the prime factors of 4036400333?
7, 349, 4817
List the prime factors of 8886098.
2, 13, 341773
List the prime factors of 767695475.
5, 19, 1616201
What are the prime factors of 54601909?
17, 409, 7853
List the prime factors of 779878473.
3, 11, 47, 61, 8243
What are the prime factors of 5238823875?
3, 5, 59, 236783
List the prime factors of 45020146.
2, 271, 83063
What are the prime factors of 453014891?
7, 19, 367, 9281
What are the prime factors of 111070828?
2, 11, 53, 47629
What are the prime factors of 573590776?
2, 11, 6518077
List the prime factors of 1271827859.
1271827859
What are the prime factors of 89204677?
19, 4694983
List the prime factors of 167369815.
5, 33473963
List the prime factors of 86727461.
86727461
What are the prime factors of 146658378?
2, 3, 19, 373, 3449
List the prime factors of 637421544.
2, 3, 137, 64621
What are the prime factors of 119931197?
1493, 80329
List the prime factors of 93389659.
11, 8489969
What are the prime factors of 246139488?
2, 3, 7, 83, 1471
List the prime factors of 317424215.
5, 3907, 16249
What are the prime factors of 41694002?
2, 7, 59, 7211
List the prime factors of 199040018.
2, 47, 2117447
List the prime factors of 12626378.
2, 6313189
What are the prime factors of 514262222?
2, 173, 233, 6379
List the prime factors of 82603679.
107, 771997
List the prime factors of 107296627.
107296627
What are the prime factors of 2151145176?
2, 3, 43, 2084443
What are the prime factors of 6250589?
1213, 5153
What are the prime factors of 96780350?
2, 5, 127, 15241
What are the prime factors of 339845610?
2, 3, 5, 13, 89, 9791
List the prime factors of 491928334.
2, 29, 647, 13109
List the prime factors of 69590388.
2, 3, 7, 19, 6229
What are the prime factors of 3752941?
199, 18859
List the prime factors of 137861518.
2, 131, 526189
List the prime factors of 809900510.
2, 5, 80990051
List the prime factors of 428362276.
2, 107090569
List the prime factors of 196494275.
5, 31, 71, 3571
What are the prime factors of 1386161283?
3, 13, 17, 19, 110039
List the prime factors of 82247620.
2, 5, 7, 13, 45191
List the prime factors of 63778076.
2, 29, 18959
List the prime factors of 4104411337.
13, 17, 83, 223759
List the prime factors of 92729145.
3, 5, 6181943
What are the prime factors of 581565163?
193, 211, 14281
List the prime factors of 151833708.
2, 3, 13, 324431
List the prime factors of 1152441022.
2, 43, 179, 1741
List the prime factors of 85671102.
2, 3, 11, 1298047
List the prime factors of 3078280726.
2, 353, 4360171
What are the prime factors of 139460996?
2, 17, 120641
List the prime factors of 524718342.
2, 3, 167, 173, 1009
List the prime factors of 35924061.
3, 1787, 6701
What are the prime factors of 29321189?
1231, 23819
List the prime factors of 41118147.
3, 7, 19, 34351
List the prime factors of 3636316500.
2, 3, 5, 43, 56377
What are the prime factors of 3869568969?
3, 7, 127, 1450907
List the prime factors of 1162740400.
2, 5, 2906851
List the prime factors of 200759951.
7, 181, 193, 821
List the prime factors of 333092343.
3, 111030781
List the prime factors of 3257174572.
2, 53, 223, 68897
What are the prime factors of 497651389?
497651389
What are the prime factors of 162106296?
2, 3, 11, 677, 907
List the prime factors of 402192516.
2, 3, 11, 37, 82349
What are the prime factors of 247304134?
2, 7, 11, 17, 94463
What are the prime factors of 28191742?
2, 14095871
List the prime factors of 7000802379.
3, 86429659
What are the prime factors of 11926117?
7, 1703731
What are the prime factors of 163480995?
3, 5, 619, 5869
What are the prime factors of 38768625?
3, 5, 7, 547
What are the prime factors of 37579210?
2, 5, 1103, 3407
List the prime factors of 2450592953.
239, 701, 14627
List the prime factors of 3208601738.
2, 1604300869
List the prime factors of 1735736478.
2, 3, 7, 29, 1425071
List the prime factors of 741063389.
11, 67369399
What are the prime factors of 26727582?
2, 3, 7, 53, 12007
List the prime factors of 257563576.
2, 71, 467, 971
List the prime factors of 819815378.
2, 17, 109, 157, 1409
List the prime factors of 505005313.
19, 73, 89, 4091
What are the prime factors of 113559159?
3, 7, 2011, 2689
List the prime factors of 597439298.
2, 71, 4207319
What are the prime factors of 89135395?
5, 17827079
What are the prime factors of 1611299198?
2, 5573, 144563
What are the prime factors of 456508248?
2, 3, 7, 113, 139, 173
List the prime factors of 810259909.
810259909
List the prime factors of 12264138.
2, 3, 681341
What are the prime factors of 9744521?
89, 103, 1063
List the prime factors of 62876530.
2, 5, 229, 27457
List the prime factors of 79717182.
2, 3, 17, 31, 1483
What are the prime factors of 449635620?
2, 3, 5, 7, 1070561
What are the prime factors of 1243754776?
2, 11, 199, 71023
What are the prime factors of 90868748?
2, 139, 163433
What are the prime factors of 25743172?
2, 7, 13, 197, 359
What are the prime factors of 572637193?
572637193
List the prime factors of 42173038.
2, 677, 31147
List the prime factors of 823597363.
23, 257, 139333
What are the prime factors of 2192329585?
5, 438465917
What are the prime factors of 3188390042?
2, 23, 47, 71, 20771
List the prime factors of 30683829.
3, 11, 929813
What are the prime factors of 84602473?
84602473
List the prime factors of 480103683.
3, 463, 345647
List the prime factors of 339839284.
2, 29, 743, 3943
List the prime factors of 86663350.
2, 5, 1733267
What are the prime factors of 200171819?
97, 2063627
What are the prime factors of 57974441?
7, 8282063
What are the prime factors of 321337207?
307, 1046701
List the prime factors of 466793183.
1117, 417899
List the prime factors of 5928825553.
7, 1559, 543281
List the prime factors of 388169193.
3, 47, 1223, 2251
List the prime factors of 30642093.
3, 499, 6823
List the prime factors of 214565973.
3, 31, 2307161
List the prime factors of 22713947.
22713947
List the prime factors of 3379570651.
29, 67, 1739357
List the prime factors of 89948686.
2, 59, 762277
What are the prime factors of 2529644506?
2, 17, 43, 1730263
List the prime factors of 192200593.
13, 2113, 6997
What are the prime factors of 89233252?
2, 31, 59, 12197
List the prime factors of 87776130.
2, 3, 5, 13, 225067
What are the prime factors of 26543734?
2, 7, 1895981
List the prime factors of 792042959.
173, 179, 25577
What are the prime factors of 96755497?
3041, 31817
List the prime factors of 1598045872.
2, | {
"pile_set_name": "DM Mathematics"
} |
are there in seventy-seven fifths of a milligram?
15400
How many seconds are there in 1/4 of a day?
21600
What is 35.06134 kilometers in nanometers?
35061340000000
How many kilograms are there in 51316.25 micrograms?
0.00005131625
What is 54/5 of a meter in millimeters?
10800
How many decades are there in 40924.79 millennia?
4092479
What is 42/5 of a millimeter in micrometers?
8400
Convert 1877159.1 minutes to hours.
31285.985
How many seconds are there in one eighteenth of a week?
33600
How many millilitres are there in 0.8400297l?
840.0297
How many minutes are there in 18/5 of a day?
5184
Convert 445.7009 litres to millilitres.
445700.9
What is 42/5 of a litre in millilitres?
8400
What is 16.240779 months in decades?
0.135339825
How many millilitres are there in fourty-eight fifths of a litre?
9600
What is 0.93989 micrograms in nanograms?
939.89
How many milligrams are there in 13/4 of a gram?
3250
How many centimeters are there in 971.3647km?
97136470
What is 4/15 of a hour in minutes?
16
How many millilitres are there in three tenths of a litre?
300
What is 738.2265 hours in milliseconds?
2657615400
How many micrometers are there in 636039.5mm?
636039500
Convert 3484.148 centuries to millennia.
348.4148
What is seven halves of a litre in millilitres?
3500
What is 89.4414 years in millennia?
0.0894414
What is 852.9031mm in kilometers?
0.0008529031
Convert 174707.22 seconds to minutes.
2911.787
Convert 491429.9 meters to millimeters.
491429900
What is eleven quarters of a day in hours?
66
What is one quarter of a day in seconds?
21600
How many centimeters are there in fourty-four fifths of a meter?
880
Convert 718.539 millilitres to litres.
0.718539
What is fifty-five quarters of a tonne in kilograms?
13750
How many millilitres are there in 34/5 of a litre?
6800
Convert 1113.776 tonnes to grams.
1113776000
How many grams are there in 1/4 of a kilogram?
250
What is 0.523718 grams in nanograms?
523718000
What is 80.4738 litres in millilitres?
80473.8
How many centimeters are there in 3/10 of a kilometer?
30000
How many millimeters are there in 7/4 of a meter?
1750
How many hours are there in 761512.6 weeks?
127934116.8
How many millilitres are there in 47/4 of a litre?
11750
What is 647734.1 minutes in microseconds?
38864046000000
What is 19539.32 kilograms in nanograms?
19539320000000000
How many months are there in 1/4 of a decade?
30
How many decades are there in thirty-three fifths of a century?
66
How many millimeters are there in five eighths of a meter?
625
How many centimeters are there in seventeen quarters of a meter?
425
How many litres are there in 21.95005 millilitres?
0.02195005
Convert 8452.321 meters to nanometers.
8452321000000
Convert 68846.84 kilograms to micrograms.
68846840000000
How many microseconds are there in 8.73631ns?
0.00873631
What is 67918.38 years in millennia?
67.91838
Convert 4780.87km to centimeters.
478087000
How many minutes are there in five quarters of a day?
1800
What is 41/2 of a centimeter in millimeters?
205
Convert 98329.58um to centimeters.
9.832958
Convert 1865.113 litres to millilitres.
1865113
Convert 0.5946191 days to microseconds.
51375090240
How many nanoseconds are there in 510.3592 days?
44095034880000000
What is 1.292013l in millilitres?
1292.013
What is 25/2 of a millimeter in micrometers?
12500
How many grams are there in 3.582508 kilograms?
3582.508
What is 787.34l in millilitres?
787340
How many millilitres are there in 5/4 of a litre?
1250
Convert 30476.8 litres to millilitres.
30476800
What is 3487.26 grams in milligrams?
3487260
What is 53752.67l in millilitres?
53752670
How many millennia are there in 727.6736 centuries?
72.76736
How many nanoseconds are there in 7.990502 minutes?
479430120000
Convert 71604.5ms to nanoseconds.
71604500000
What is 3/28 of a week in seconds?
64800
How many millilitres are there in 0.1539215l?
153.9215
How many millilitres are there in nineteen quarters of a litre?
4750
Convert 9086.647ug to nanograms.
9086647
What is 82676.12nm in micrometers?
82.67612
How many micrograms are there in nineteen quarters of a milligram?
4750
How many millilitres are there in 3/25 of a litre?
120
How many milliseconds are there in 60113.49 weeks?
36356638752000
How many millennia are there in 926.9726 decades?
9.269726
What is 19/4 of a litre in millilitres?
4750
How many years are there in 33/5 of a millennium?
6600
What is 33.35448 milliseconds in seconds?
0.03335448
What is 9/10 of a century in months?
1080
What is 3/25 of a kilometer in meters?
120
What is 0.000095g in nanograms?
95000
How many millimeters are there in thirteen fifths of a centimeter?
26
How many seconds are there in 1/4 of a minute?
15
How many millilitres are there in 4.956764 litres?
4956.764
How many centimeters are there in 7/4 of a meter?
175
What is twenty-seven halves of a kilogram in grams?
13500
How many minutes are there in 275.111 days?
396159.84
What is seven eighteenths of a week in minutes?
3920
How many micrometers are there in six fifths of a millimeter?
1200
What is 656.2828 hours in microseconds?
2362618080000
What is twenty-five eighths of a gram in milligrams?
3125
Convert 3841.264 days to seconds.
331885209.6
Convert 782.8749 centuries to millennia.
78.28749
How many millimeters are there in 77579.87km?
77579870000
How many meters are there in 13/4 of a kilometer?
3250
What is thirty-three fifths of a litre in millilitres?
6600
How many years are there in 1/5 of a millennium?
200
What is 1777.31 centuries in months?
2132772
Convert 880.9295 weeks to days.
6166.5065
What is 0.0459317m in millimeters?
45.9317
How many kilograms are there in 663.3973 grams?
0.6633973
What is 51/5 of a millennium in years?
10200
How many months are there in fourty-three quarters of a year?
129
What is 93/4 of a gram in milligrams?
23250
Convert 27.19294ml to litres.
0.02719294
What is 561820.7t in grams?
561820700000
What is one fifth of a litre in millilitres?
200
How many nanograms are there in 1479.356mg?
1479356000
What is 1/20 of a minute in seconds?
3
What is 312.7226ml in litres?
0.3127226
What is 3/10 of a centimeter in micrometers?
3000
How many millilitres are there in 1/4 of a litre?
250
What is 18/5 of a litre in millilitres?
3600
What is one fifteenth of a minute in milliseconds?
4000
What is thirty-four fifths of a minute in seconds?
408
What is 1/10 of a millimeter in micrometers?
100
How many millennia are there in 2275.006 centuries?
227.5006
What is 15.88545 months in millennia?
0.0013237875
What is 6/5 of a kilogram in grams?
1200
What is 18/5 of a minute in seconds?
216
How many millilitres are there in 21/8 of a litre?
2625
How many nanometers are there in seven quarters of a micrometer?
1750
What is 6354.995 millennia in years?
6354995
How many decades are there in 1.069428 centuries?
10.69428
What is 4/3 of a decade in months?
160
What is 69/2 of a meter in centimeters?
3450
What is three fifths of a meter in millimeters?
600
Convert 60.7877 millennia to years.
60787.7
What is seven halves of a litre in millilitres?
3500
How many years are there in 11/4 of a century?
275
What is 3/50 of a milligram in nanograms?
60000
What is thirteen fifths of a microgram in nanograms?
2600
What is 21/5 of a decade in years?
42
What is 152.5333 litres in millilitres?
152533.3
How many decades are there in 8692.065 years?
869.2065
How many nanograms are there in 31/2 of a microgram?
15500
What is 15/4 of a hour in minutes?
225
What is thirteen eighths of a millennium in years?
1625
How many kilograms are there in twenty-one quarters of a tonne?
5250
What is 68071.65 tonnes in milligrams?
68071650000000
What is 3/16 of a millennium in months?
2250
Convert 3337.684t to nanograms.
3337684000000000000
How many weeks are there in 1307148.381ms?
0.0021612903125
What is 0.8436093 milligrams in tonnes?
0.0000000008436093
How many milliseconds are there in 7179.15 nanoseconds?
0.00717915
How many micrometers are there in 33/5 of a centimeter?
66000
How many centimeters are there in 3/5 of a meter?
60
How many milligrams are there in eleven halves of a gram?
5500
How many kilograms are there in 193.3079 milligrams?
0.0001933079
How many millilitres are there in five quarters of a litre?
1250
How m | {
"pile_set_name": "DM Mathematics"
} |
j?
False
Let s = 14 + -8. Suppose 0 = l - 0 - s. Suppose l*d - 18 = 3*d. Is 5 at most d?
True
Let a be 1/(1 + 2/(-1)). Let m be 32/(-16) - (a + 91 + 0). Is m at most -92?
True
Let c = -28 - -13. Let w be (6/(-2835))/((-12)/c). Let k = w + 221/189. Is 2 at most as big as k?
False
Let l(h) = -3*h + h**2 + 98*h**3 - 99*h**3 - 12 + 4. Let r be l(-3). Which is smaller: 38 or r?
r
Suppose -f - 16*f = -187. Is f less than 75/7?
False
Suppose -3*c + 2*b - 6*b = -235, b + 76 = c. Let y be -3 - 0 - c/(-21). Is y bigger than -6?
True
Let h = 0.675 + -2.575. Is h < -0.1?
True
Let n be -2 + 9/7 + 1. Let g(x) = x**3 - 15*x**2 - 56*x + 37. Let c be g(18). Which is bigger: c or n?
c
Let z = -269 + 270. Which is greater: 5/19 or z?
z
Let z be 178/26 - (3 - (-123)/(-39)). Suppose 5*k + z*m = 5*m + 21, -m - 7 = -k. Which is smaller: 7 or k?
k
Let t(i) = -i**3 + 6*i**2 + 4*i - 9. Let x be t(6). Let w be (2/x)/(7/((-35)/(-4))). Is 0.4 equal to w?
False
Let a = 425547691/3869319 - -30/75869. Let o = a + -110. Which is smaller: o or -1?
-1
Let o = -0.0335 - 72.9665. Is o at least -3?
False
Let a(c) = -c**3 - 2*c**2 + 1. Let b be a(1). Let n = -4276/5 - -833. Let m = n - -757/35. Is m smaller than b?
False
Let s = -124 - -125. Which is smaller: s or -19/6?
-19/6
Let y = 557 - 556.8. Do -111 and y have different values?
True
Let y(f) = 31*f + 43. Let h be y(-7). Let w = h + 160. Let m = 2 - 3. Is w less than m?
True
Let x be (-6)/9*3*(-1)/(-2). Do x and -4.6 have the same value?
False
Let x be (-2)/(-3)*(-54)/(-4). Suppose 0 = k - 5, 2*k - x - 49 = -4*f. Suppose -19*h + 157 = -33. Which is greater: h or f?
f
Let a = 393/799 + -8/17. Let l = a + 40/329. Which is bigger: l or 1?
1
Suppose -2*r + 204 = -36. Suppose -2*s + 30 = -2*c, r = 5*s - 3*c + 39. Let v = s + -20. Which is smaller: v or 4?
v
Suppose -4*r - 5*x = -158, 2*r - 6 = 5*x + 88. Suppose 6*g = r + 60. Which is greater: g or -0.1?
g
Let r = 15838/17 + -932. Let y = r + 154/51. Let b = -110/39 + y. Does 1 = b?
False
Let u(q) = q**3 + 8*q**2 - 11. Let o be u(-8). Let d = -5 - o. Suppose b = d*b. Is 1/2 at least as big as b?
True
Let o(a) = -a**2 - 6*a + 19. Let u = 56 - 64. Let d be o(u). Is d not equal to 7/4?
True
Let y = 0.9 - 1. Let s = -121.3 + 123. Let i = s + -1. Is i at least y?
True
Let g = -668494 + 11359890/17. Let y = -265 - g. Let w = 1 + -2. Which is smaller: y or w?
w
Let q = -26.7 + 26.72. Let x = 0.04 + 0.26. Is x at least as big as q?
True
Let x = -23 - -27. Suppose 16 = 4*d - 4*t, -2*d - 6 = -x*t - 22. Let w = -89/14 - -13/2. Is w at most as big as d?
False
Let v be (-46)/(-11) - (-10)/(-55). Suppose -v*a + 4*w = -76, -a - 3*w - 23 = -2*a. Which is smaller: a or 1?
1
Let c = -52275/23 + 2272. Which is smaller: -1 or c?
-1
Let x(p) = p + 4. Let a be x(7). Suppose 5*d = a + 4. Suppose -5*h = -10, 2*h = -d*i - i + 4. Which is greater: -2/15 or i?
i
Let m be 1/1*-1*1. Suppose 30*k - 6*k = 720. Let a be (16/k)/4 - (-960)/(-10575). Which is smaller: a or m?
m
Suppose 0*y = 6*y - 330. Let c = -50 + y. Is c equal to 6?
False
Let d = 83/18 - -8/9. Is 2 greater than or equal to d?
False
Let r(a) = a**3 - 12*a**2 + 5*a - 13. Let n be r(12). Suppose -3*p - n = 139. Is p at most -63?
False
Let o = -34 - -64. Let k = o - 40. Let t be (1 - -1) + (-6 - k). Is t less than 7?
True
Suppose 48 = 51*v - 55*v. Is v greater than -22?
True
Let p be ((-430)/(-3) + 0)/((-2)/3). Which is smaller: -216 or p?
-216
Let j be -9 + 423/45 - (-194)/(-10). Is j not equal to -19?
False
Let t = -38182/196103 + -2/4783. Let y = -59/328 + t. Is -1 at most as big as y?
True
Suppose -2*a + 2 = 10. Suppose 5*i + 4*x - x - 155 = 0, 0 = i - 4*x - 8. Suppose -30*p - i = -16*p. Which is smaller: p or a?
a
Let y(z) = z**3 - 11*z**2 - 4*z - 4. Let t(j) = -j**2 - j. Let p(i) = -6*t(i) + y(i). Let g be p(5). Suppose -6 = -4*c + g. Which is greater: 2 or c?
c
Let h = 37471 + -337597/9. Is -41 < h?
True
Suppose 3*p = -58 + 55. Which is greater: -1/391 or p?
-1/391
Let o(w) = 4*w**2 - 2*w - 2. Let t be o(-1). Suppose 0 = t*p - 6*p + 2. Let i be (p/2)/((-25)/(-30)). Is 1 equal to i?
False
Let j be (4/(-6))/(2*-1). Suppose 558 = 159*f - 221*f. Is j > f?
True
Let q = 0.057 - 0.006. Let m = q - -0.009. Let y(s) = -s**3 - 3*s**2 - 1. Let g be y(-3). Is g >= m?
False
Let t = -166 - -1161/7. Let q = -25.2 + 20. Let b = q + 5. Which is greater: t or b?
t
Let v = -84 - -89. Suppose 6*p - v*p - 2*f = 6, 4*f + 12 = 5*p. Which is greater: 0.6 or p?
0.6
Let z(l) = -l**2 - l + 4. Let w be z(3). Suppose 4*n - 5*g = 8, n + 4*g + g = -23. Which is smaller: n or w?
w
Let l(m) = m**3 + 52*m**2 + 26. Let r be l(-52). Let n = -3.1 + 3. Is r at least n?
True
Let q = 1281 - 1163. Are 118 and q non-equal?
False
Let m = 529 + -529. Which is greater: m or 345?
345
Let l = 208 + -207. Which is bigger: 7/19 or l?
l
Let j be (2 - 7/3)/(2/6). Let w be (-2)/(j/((-705)/474)) - -3. Which is smaller: 0 or w?
0
Suppose 18*u - 30*u + 780 = 0. Is 65 greater than u?
False
Let u(s) = s**2 - s. Let m(f) be the third derivative of f**5/12 - f**4/3 + 6*f**2. Let n(x) = -m(x) + 6*u(x). Let z be n(-3). Is -2 at most as big as z?
True
Let t be (-2)/6*(-1378)/(-154) - -3. Which is smaller: 1 or t?
t
Suppose 0 = -15*t - t + 17520. Let b = -1419412723/1297584 + 1/432528. Let i = t + b. Is i less than 2?
True
Suppose -140*h = -2*h + 100188. Which is smaller: h or -724?
h
Let r = 150 - 151. Let t = 2034/19 + -107. Which is bigger: t or r?
t
Let l = 652 + -774. Which is greater: -123 or l?
l
Let i be 2/10 + (-39)/45. Let k = 154.2 + -138. Let w = 16 - k. Which is greater: w or i?
w
Suppose -2*q = 177 + 247. Let i(p) = p + 5. Let w be i(-5). Let t be w + (-4 - q/54). Which is smaller: t or 1?
t
Let o = 77 - 56. Is o less than 182/9?
False
Suppose 4*o + a = 19, 5*o - 5*a = 3*o - 7. Suppose -4*t + t + 5*p = -32, -o*p = 3*t - 23. Are 7 and t unequal?
True
Let b = 8.548 + -8.5. Let p = 9.952 + b. Which is smaller: p or -0.2?
-0.2
Let i = 85.2 + -85. Let b = -1264 + 192129/152. Let z = 451/760 + b. Which is smaller: i or z?
i
Suppose 158 = y + 2*f, 2*f - 315 = -2*y - f. Which is bigger: 155 or y?
y
Let x = 39 - 49. Let n = 9 - x. Is 20 equal to n?
False
Let o(r) = -7*r**3 - r + 1. Let b(z) = 6*z**3 + z - 1. Let y(x) = 6*b(x) + 5*o(x). Let h be y(0). Let w = -415/6 + 69. Which is greater: h or w?
w
Let o = -25.9 - -26. Is 11 at most o?
False
Let d(k) = -2*k**3 + 14*k**2 - 3*k + 9. Let w be d(6). Which is greater: w or 62?
w
Let i be (-1)/(-3)*5*-3. Let n = i + 4. Let m be ((-2)/42)/((-10)/30). Is m < n?
False
Let n be (-8443)/65 + (-2)/(-10). Let h = n + 130. Are h and 0 non-equal?
True
Let s = -18 + 17. Let i = s - -1.2. Is 3/2 less than or equal to i?
False
Suppose -3*g = 4*k - 12, -6*k + 5*k + 3 = 4*g. Is -1/1271 > g?
False
Let a = 101 + 43. Is a at least as big as 0?
True
Let a be 3/(((-18)/(-4))/1). Let w = 45 - 33.8. Let p = w + -11. Is p >= a?
False
Suppose -22*y + 26*y + 688 = 0. Let n = y - -95. Is n not equal to -77?
False
Suppose -3*s + 5*b + 177 = 2*b, 0 = 2*b. Suppose 0 = -3*q + 5*u + s, 2*u + 112 - 38 = 4*q. Is 17 bigger than q?
False
Suppose 0*h + 2*h = 3*h. Suppose 3 = 3*r + 3*z - 4*z, h = 2*z. Which is bigger: -37 or r?
r
Let s be 8/((-48)/42) - -7. Is 2/397 at most as big as s?
False
Let a = -5135/516 + 125/12. Is 0 equal to a?
False
Let g = 1.3 + 12.7. Let c = -8.74 - -8. Let r = c - -0.64. Which is smaller: r or g?
r
Suppose 0 = -7*c + 6 + 8. Let y be (((-42)/(-119))/((-3)/c))/30. Which is bigger: y or -1?
y
Let p = -85 + 88. Suppose 0 = -5*c + p*c - 3*d + 1, 4*c = -5*d + 1. Which is smaller: c or 1?
c
Let q be (578/(-255))/((-32)/(-3)). Let i = -3/16 + q. Let j = -1.6 + 2. Is i equal to j?
False
Let z be (4/10)/((-6)/(-10)*7). Let i be (-1)/(-2)*-2 - 2. Let w = 3 + i. Is w >= z?
False
Let d(s) = -21*s + 2 + 1 + 27*s + s**2. Let t be d(-2). Suppose 31 = -4*c + 11. Is t <= c?
True
Let r(t) = 12 - 25*t + 54*t - 18*t - t**2. Let y = 10 - -3. Let u be r(y). Is u smaller than -13?
True
Suppose 2346 = -5*i + 2351. Are i and -8 unequal?
True
Let w = -54/25 + 19/25. Is w at most 2/23?
True
Let h be -1*(1 - 0)*2. Let i = 15/149 + -507/596. Is h bigger than i?
False
Let m be ((-143)/39)/(8 - 7). Which is smaller: m or 1/5?
m
Suppose 0 = 5*z - 2*y + 4, -4*z + 3*y = -9*z + 6. Let c(r) = - | {
"pile_set_name": "DM Mathematics"
} |
3 to l*w**3 + u + g*w + f*w**2 and give l.
55
Express -20*t**3 + 8*t**3 + 10*t**3 + 2*t**3 - t**3 + 0*t**3 + (3*t - 5*t + 0*t)*(-2*t**2 + 0*t + 0*t) in the form g*t + n*t**3 + v*t**2 + a and give n.
3
Express (52*b**2 + 173*b**2 + 53*b**2)*(5*b - 5*b + 2*b) + (b**2 + 2*b**2 + 0*b**2)*(b - 3 + 3)*(1 + 2 - 2) as t*b + f*b**3 + k*b**2 + g and give f.
559
Rearrange 19368*y + 1 - 18771*y - 1 to r*y + g and give r.
597
Express 33*p**2 + 24*p**2 - 29*p**2 + 104*p**2 as i*p + r*p**2 + u and give r.
132
Express (31*t - 7*t - 13*t + 480 - 12*t)*(-t + 3*t - 5*t) in the form r + w*t + y*t**2 and give w.
-1440
Rearrange (0 + 0 + 2)*(-4*t**2 - 3*t**2 + 5*t**2)*(-25 + 0 - 7) to the form h*t + s + i*t**2 and give i.
128
Express 3*y**2 + 3*y**4 - 7*y**3 - 8*y**3 - 74*y - 3*y**2 + 18*y**3 in the form k*y**2 + u*y**3 + i + p*y + h*y**4 and give p.
-74
Express 0*m**3 - 2*m**4 + 260*m**2 - 10 - 2*m**3 - 255*m**2 in the form y*m**2 + u*m + l*m**3 + h + p*m**4 and give l.
-2
Rearrange -c**4 - c**3 + c - 491*c**2 + 1007*c**2 - 506*c**2 to r*c**4 + u*c**3 + p + x*c + q*c**2 and give q.
10
Express (-11 + 11 - 9*y)*(-12 + 1 - 8) as f + v*y and give v.
171
Express 2*a**4 - a + 18*a**2 - 45 - 2*a**3 + 41 - 17*a**2 as d*a**4 + x*a**3 + n*a**2 + c*a + j and give d.
2
Express -2*v + 6*v - 6*v + 23*v**2 + 4*v as u*v + g*v**2 + c and give u.
2
Rearrange 29*o**2 + 0*o + 69 - o - 34 - 33 to k*o + l*o**2 + m and give k.
-1
Express 147*g**3 - 291*g**3 + 13 + 145*g**3 - g - g**4 in the form c*g**3 + t*g**2 + y*g**4 + v*g + s and give t.
0
Express 149*y - 7363*y**2 + 0 + 7361*y**2 + 0 as t*y**2 + q*y + l and give t.
-2
Rearrange -7 - 4 - 31*o + 10*o**2 - 14 + 25 to i*o**2 + p*o + c and give i.
10
Express (2*u + u + u)*(-65*u**2 - 168*u**2 + 55*u**2) in the form s + n*u**2 + g*u + d*u**3 and give s.
0
Express 2 - 17*x + 2*x**2 - 19*x + 58*x in the form f*x + a + d*x**2 and give a.
2
Rearrange 0*a**2 + 3*a**2 - 1 + a**2 + 2*a**2 to the form c*a + j + f*a**2 and give f.
6
Express 9262*a**2 + 0 - 1 - 8862*a**2 as q*a**2 + s*a + t and give q.
400
Rearrange (158 - 5*b - 154 - 6*b)*(-3*b**2 + 0*b**2 - 2*b**2)*(5*b + 0*b - 4*b) to the form n + s*b**3 + g*b**4 + h*b + q*b**2 and give s.
-20
Express 6*h**2 + 5499 - 4*h**2 - 5414 in the form z*h**2 + o + g*h and give o.
85
Express -4 - 6*f - 19*f + 34*f - 17*f - 3*f**3 as u*f + z*f**2 + b*f**3 + y and give b.
-3
Rearrange -39*y**2 - 35*y**2 - 1 + 19*y + 8*y**3 + 109*y**2 - 35*y**2 to the form r + a*y**2 + g*y + j*y**3 and give r.
-1
Rearrange 11*m**3 - 8 + 1 - 5 - 3*m**3 + 29 to g + r*m**2 + j*m**3 + c*m and give j.
8
Rearrange (-4*k**2 + 4*k**2 + 7*k**2)*(160*k - 10*k**2 - 160*k) to r*k**3 + g*k**4 + b + d*k + f*k**2 and give g.
-70
Rearrange p**2 + p + 155*p**3 + 3 - 3*p**2 - 125*p**3 to h + b*p**2 + c*p**3 + g*p and give b.
-2
Rearrange -1841 + 25*f + 3678 + 2*f**2 + 2*f**3 - f**4 - 2*f**2 - 1838 to m + c*f**3 + s*f + x*f**2 + j*f**4 and give s.
25
Express 0 - 4*x + 1 + 2*x + 4*x + 2*x - 4*x + (-2*x - x + 2*x)*(1 + 1 - 4) + 37*x + 0*x - 13*x as f + o*x and give o.
26
Express -7 - 2 + 9 + 6 - 2*v in the form d*v + p and give p.
6
Rearrange -x + 3*x - 3*x + (-4*x - x + 4*x)*(-4 + 2 + 3) + 417 - 201 + 149*x - 218 to the form b + y*x and give y.
147
Rearrange -9*x + 5*x + 4*x + 300*x**2 + 525*x**2 to q*x + f + i*x**2 and give i.
825
Rearrange 41*q**2 + 10*q**2 + 4*q**2 + (-7 + 7 + 10*q)*(-1 - 2*q + 1) to the form z*q**2 + k + t*q and give z.
35
Express -10*k**2 - k + 8*k**2 + 6*k**4 + 1615 + 4*k**4 - 1612 + 2*k**3 in the form t + h*k**3 + z*k**4 + g*k**2 + u*k and give h.
2
Express 30*d + 2*d**2 + 0*d**2 - 6*d**2 + 68*d as r + t*d**2 + s*d and give t.
-4
Rearrange -2 + 19*m + 1 - 14*m + (-2*m + 0*m + 0*m)*(-17 - 18 + 39)*(3 + 1 - 3) to j + k*m and give j.
-1
Express (3 - 5 - 1)*(-176*x + 221*x + 152*x) as k + j*x and give j.
-591
Rearrange 233*y - 79*y - 78*y - 76*y - 1724*y**2 to i*y + x*y**2 + c and give x.
-1724
Rearrange 273194 + 17*m**3 + 5*m - 3*m**2 - 273194 to the form x*m**2 + c + z*m + t*m**3 and give x.
-3
Rearrange 78*m + 92*m - 168*m + 75 to v + l*m and give l.
2
Rearrange -1411 - 97*x + 1412 - 32*x - 145*x to the form i + n*x and give n.
-274
Express (7*p - p + 4*p)*(340*p**2 + 104*p**3 - 340*p**2) in the form n*p**4 + a*p**3 + i*p + m + d*p**2 and give n.
1040
Express 345 + 0*x - 9*x + 5*x + 6*x in the form m*x + r and give r.
345
Rearrange 4*m**3 - m - 8 - 1 + 0 - 12*m**4 + 2*m**2 + 4 + 6 to the form y*m**3 + v*m**4 + z + u*m**2 + a*m and give v.
-12
Express 0*b**2 - b**2 + 0*b**2 - 19*b - 5*b**2 + 19*b + (-13 + 13 + b)*(-2 + 2 - 8*b) in the form p*b + q + n*b**2 and give n.
-14
Express (-3*n**4 + 2*n**4 + 2*n**4)*(-2 + 2 - 1) - 31*n**4 + 47*n**4 - 18*n**4 + 2*n**3 - 5*n**2 - 1 as i*n**4 + b + t*n + o*n**3 + p*n**2 and give p.
-5
Rearrange 247 - 257 + j - j - 2*j**2 to the form o + t*j + l*j**2 and give o.
-10
Express j**3 + 6*j**4 + 0*j**4 - 3 - j**4 - 6*j**4 - 84*j + 4 in the form x + w*j**2 + s*j + z*j**3 + g*j**4 and give s.
-84
Rearrange -15*f**4 - 11*f**4 - 15*f**4 + (-6*f**3 - 9*f**2 + 9*f**2)*(1 + 4*f - 1) + 3*f**4 - f**4 - f**4 to l + r*f + m*f**4 + p*f**3 + i*f**2 and give m.
-64
Express -2*s**3 - 2*s - 160 + 178 - 341*s**2 - 18 as j*s**3 + h*s + q*s**2 + f and give j.
-2
Rearrange (113*q**2 + 275*q**2 - 61*q**2)*(-q + 2*q + q) to v*q**3 + l + x*q + n*q**2 and give v.
654
Express (-2*n**2 - n**3 + 2*n**2)*((8*n - 5*n - 4*n + 2)*(2 + 1 + 1) + 7*n + 22 - 22) as d*n**3 + k + p*n**4 + b*n + t*n**2 and give p.
-3
Rearrange (-7*s + 12*s - 2 + 0*s)*(29 + 23 - 53) to v*s + d and give d.
2
Rearrange (5*h - 4*h - 3*h)*(219*h + 60*h**2 - 219*h) + (3 - 3 - 2*h**2)*(2*h + 3*h - 3*h) to z*h + i*h**3 + l*h**2 + q and give z.
0
Express 211 + 49*v**2 - 1011*v**2 - 209 in the form u*v**2 + z + k*v and give u.
-962
Rearrange ((-4 + 3 - 1)*(2 + 2*q**3 - 2) - 33*q**3 - 1470*q**3 - 1509*q**3)*(1 - q - 1) to the form f*q + c*q**2 + p*q**4 + h + y*q**3 and give p.
3016
Rearrange -4 - 3*y + 2663*y**4 + y - 2684*y**4 to the form s*y**2 + m + o*y**3 + p*y + r*y**4 and give m.
-4
Rearrange -4*x**4 + 1375 - x - 8*x**4 - 1377 - 6*x**3 - 4*x**4 + x**4 to k*x**4 + f*x + o*x**3 + b*x**2 + q and give f.
-1
Express i**4 - 3*i**4 + 3*i**4 + (-319*i + 210*i + 425*i)*(1 - 2*i**3 - 1) in the form n*i**2 + r*i**4 + z + q*i + l*i**3 and give r.
-631
Rearrange -y**3 + 7*y**3 - 4*y**3 + (0*y**2 + 0*y**2 + 6*y**2)*(2*y + 0*y + y) to the form r*y + o + b*y**2 + d*y**3 and give d.
20
Rearrange -2*z + 7*z**2 + 0*z**2 + 18*z**2 to q + m*z**2 + p*z and give p.
-2
Rearrange -23 - 36*c - 403*c + 23 to n + q*c and give n.
0
Rearrange (2035*s**3 - 283*s**3 + 1384*s**3)*(-2 + 2 + 2) to the form j*s + w*s**3 + q*s**2 + d and give w.
6272
Express (-3*d - 2 + 2*d - 1)*(-4*d - 352*d - 9*d) as h*d**2 + k*d + v and give k.
1095
Rearrange 5*a**2 + 2 + 12*a**3 - 5*a**2 - 46*a**3 + 2*a to c*a + h + n*a**2 + y*a**3 and give h.
2
Express 10*t**2 - 6*t + 19*t - 13*t - 16*t as d*t**2 + b + l*t and give l.
-16
Rearrange (-v**2 - v**2 + v**2)*(-3 + 0 + 1) - 2979*v**2 - 4263*v**2 + 5212*v**2 + 0*v**2 + v**2 - 2*v**2 to the form h*v**2 + d*v + j and give h.
-2029
Express (28*d - 17*d + 11*d)*(2*d**2 + 75 - 40 - 40) in the form f*d**3 + l*d**2 + k + q*d and give l.
0
Rearrange -12951 - 1261*v**2 + 12951 to the form l*v + x + c*v**2 and give c.
-1261
Express -433*r - 435*r + 870*r - 25 - 14 as l + z*r and give z.
2
Express -b - 813 + 1626 - 811 + 32*b**3 in the form h*b + u + d*b**2 + y*b**3 and give h.
-1
Rearrange 1710*z + 33*z**4 + 1713*z + 1 - z**2 - 3422*z to r*z + y*z**3 + s*z**2 + k*z**4 + x and give r.
1
Express 259 - t**2 - 129 - 2*t - 131 - 4*t**3 as m + n*t**2 + u*t**3 + g*t and give g.
-2
Express (-2*d + 3 - 3)*(1 - 5 + 1) + (-2*d + 3*d - 2*d)*(-2 - 5 + 4) as l + f*d and give l.
0
Rearrange (-6 - 77 - 3)*(21 - 10 - 6)*(4*z + 0*z - 2*z) to the form s*z + d and give s.
-860
Express -250 + 38*p - 88*p + 49*p in the form g + j*p and give j.
-1
Rearrange (72076 - 72076 + 222*s)*(-2*s**3 - 2*s**2 + 2*s**2) + 5*s**4 - 3*s**4 + 0*s**4 to the form g*s**4 + w*s + j*s**3 + l + k*s**2 and give g.
-442
Express (2*k - k - 2*k)*(k + 0*k - 4*k)*(846 - 846 + 21*k) as o*k**2 + i*k + x*k**3 + y and give o.
0
Express (811 - 811 + 180*p)*(0*p - 2*p**2 + 0*p) - 4*p**3 + 5*p**3 + p**3 in the form | {
"pile_set_name": "DM Mathematics"
} |
erms in -161*m**2 - 1826 + 41*m - 41*m - 48*m**2 + 1825.
-209*m**2 - 1
Collect the terms in -949 - 2*h**3 - 66 + h + 1015 + 0*h**3 - 2*h**3 - 3*h.
-4*h**3 - 2*h
Collect the terms in 488*x**2 - 36 - 181 - 50 + 312 - 45.
488*x**2
Collect the terms in 6408*f**3 - 3709*f**3 - 2758*f**3.
-59*f**3
Collect the terms in 17 - 8 - 9 - 2217504*s**2.
-2217504*s**2
Collect the terms in 32*d**2 + 88*d**2 + 6*d**2 - 127*d**2.
-d**2
Collect the terms in 0*l**3 + 3*l**3 + 4*l**3 + 6*l**3 - 43*l**3 + 3*l**3 + 31*l**3.
4*l**3
Collect the terms in 1364 + 1381 + 45*b + 1375 - 4118.
45*b + 2
Collect the terms in 3 - 137*q + 3 - 64*q - 8 + 412*q.
211*q - 2
Collect the terms in 10 - 1140*w + 71 + 61 - 35.
-1140*w + 107
Collect the terms in -1 - 486096*y + 2 - 1.
-486096*y
Collect the terms in -236661*n**3 - 87917*n**3 - 48897*n**3 + 72743*n**3.
-300732*n**3
Collect the terms in 134534*h**2 + 3181*h - 3181*h.
134534*h**2
Collect the terms in -444*d - 534*d - 486*d + 1382*d.
-82*d
Collect the terms in -1504145 + 1504145 + 3*d.
3*d
Collect the terms in 11 + 256*j**3 - 252*j**3 - 218*j**3 - 265*j**3.
-479*j**3 + 11
Collect the terms in 36464*h + 15*h**2 - 17*h**2 - h**3 + 0*h**3.
-h**3 - 2*h**2 + 36464*h
Collect the terms in -1683 + 3554 - 1864 - 103*i.
-103*i + 7
Collect the terms in -15654 + 12*h**2 + 15654 - 6938*h.
12*h**2 - 6938*h
Collect the terms in -a + 3*a + 328*a**2 + 470*a**2 + 4*a - 910*a**2.
-112*a**2 + 6*a
Collect the terms in -2*w - 4*w + 990*w**3 + 3255*w**3.
4245*w**3 - 6*w
Collect the terms in -279*h - 336 - 64*h - 18*h.
-361*h - 336
Collect the terms in -54 - 3*n + n - 64 + 89 + 29.
-2*n
Collect the terms in 0*k**2 + 15826*k**3 + 11143*k**3 + 0*k**2.
26969*k**3
Collect the terms in -4 - 4826*m - 16354*m - 885*m.
-22065*m - 4
Collect the terms in 414*j**2 - 120656413*j**3 - 414*j**2 + 120656411*j**3 + 130*j.
-2*j**3 + 130*j
Collect the terms in 2 + 3 + 5*a - 9*a - 7*a + 2 - 11.
-11*a - 4
Collect the terms in -14*g**2 - 14*g**2 - 16*g**2 - 20*g**2 + 293643*g - 293643*g + 70*g**2 - 7*g**2.
-g**2
Collect the terms in -59491*y**2 - 575 - y + 575.
-59491*y**2 - y
Collect the terms in 3495*a**2 + 246*a - 3493*a**2 + 0 + 0 - 262*a.
2*a**2 - 16*a
Collect the terms in -36400 - 36402 + 18959*q + 72802 + q**2 - 18959*q.
q**2
Collect the terms in 3097*s**2 - 3097*s**2 + 39282*s**3.
39282*s**3
Collect the terms in -17096624*z + 8548337*z + 8548312*z.
25*z
Collect the terms in -1505*m**2 - 1580*m**2 + 5175*m**2 - 1574*m**2.
516*m**2
Collect the terms in -22*j**3 - 1062396 + 531536 + 530860.
-22*j**3
Collect the terms in -186*b + 209*b**2 + 211*b**2 - 596*b**2 + 186*b + 194*b**2.
18*b**2
Collect the terms in 435977 + 3019*y**2 - 435977.
3019*y**2
Collect the terms in -21 + 1145*m - 347*m + 14 - 12 + 19.
798*m
Collect the terms in 793*r**2 + 269*r**2 + 971*r**2.
2033*r**2
Collect the terms in 41 + 2138*q - 773*q - 687*q - 680*q + 74.
-2*q + 115
Collect the terms in 1866*r**2 - 69 - 3746*r**2 - 4*r + 1868*r**2.
-12*r**2 - 4*r - 69
Collect the terms in 863*x**3 - 427*x**3 - 1 + 0 - 434*x**3.
2*x**3 - 1
Collect the terms in 14352704 + 1353*y**3 - 1397*y**3 - 14352704.
-44*y**3
Collect the terms in 689200*j**2 - 9 - 690050*j**2 + 8.
-850*j**2 - 1
Collect the terms in -492758*z**2 + 245878*z**2 + 246878*z**2.
-2*z**2
Collect the terms in -1367728 - 2*h - 1367725 + 2735453.
-2*h
Collect the terms in 1108*f + 104 - 26 - 24 - 22 - 32.
1108*f
Collect the terms in -219*v**3 + 525*v**3 - 704*v**3.
-398*v**3
Collect the terms in -104 - 181 + 23791*g + 285.
23791*g
Collect the terms in -51*j - 137*j - 58*j - 50*j - 20*j - 50*j + 365*j.
-j
Collect the terms in -2936*o**2 + 1501*o**2 + 3 - 3 + 1474*o**2 - 2*o.
39*o**2 - 2*o
Collect the terms in -10*z**3 - 6*z**3 + 12*z**3 + 14*z**3 - 15*z**3 + 2*z**3 + 2*z**3.
-z**3
Collect the terms in 94844 - 569*u - 94844 + 562*u.
-7*u
Collect the terms in 0 + 13059879*n**2 + 0 - 26119772*n**2 + 13059877*n**2.
-16*n**2
Collect the terms in -5*r + 0 - 1 - 26*r + 67*r**2 + 8*r.
67*r**2 - 23*r - 1
Collect the terms in -566 - 12*h + 179 + 218 + 10*h + 178.
-2*h + 9
Collect the terms in -6*k + 2 - 33459*k**2 + 33452*k**2 + 2 + 6*k - 5.
-7*k**2 - 1
Collect the terms in -12194*c - 4 - 222*c + 9 - 4397*c.
-16813*c + 5
Collect the terms in 5*d - 170 - 7*d**2 + 131 + 99 + 5*d**2.
-2*d**2 + 5*d + 60
Collect the terms in 17706 + 17829 - 36003 + 2*x.
2*x - 468
Collect the terms in -418246*n + 10*n**3 + 68*n**3 - 418228*n + 836474*n.
78*n**3
Collect the terms in 4*g + 4*g**2 + 2*g**2 - 4585 + 27*g**2 - 36*g**2.
-3*g**2 + 4*g - 4585
Collect the terms in -161*z**3 + 168*z**3 + 500*z**3.
507*z**3
Collect the terms in -25*x**2 - 32*x + 28*x - 15*x**3 + 8*x.
-15*x**3 - 25*x**2 + 4*x
Collect the terms in 5 + 83335*v - 3 - 222397*v - 2.
-139062*v
Collect the terms in 61206 + 61172 - 244736 + 9*k + 61183 + 61175.
9*k
Collect the terms in 436*u + 3*u**3 + 65*u - 4*u**3 + 75*u**2 + 477*u.
-u**3 + 75*u**2 + 978*u
Collect the terms in 5960611*f - 5960611*f - 2 + 9*f**2.
9*f**2 - 2
Collect the terms in 477*f**3 + 362*f**3 + 28*f - 19*f - 9*f.
839*f**3
Collect the terms in 328 + 6*i - 165 - 67 - 96.
6*i
Collect the terms in -7 + 20 + 11 - 90*u - 25.
-90*u - 1
Collect the terms in -13*h**3 + 26*h**3 - 7*h - 11*h**3 - 5*h**3.
-3*h**3 - 7*h
Collect the terms in -2660*m + 1169*m + 756*m + 735*m - 60*m**2.
-60*m**2
Collect the terms in 15590*r + 124 - 171377*r - 124.
-155787*r
Collect the terms in 30*w - 85*w - 160 + 62*w.
7*w - 160
Collect the terms in -71*q + 46*q - 131*q**2 + 10*q + 16*q + 10*q**2.
-121*q**2 + q
Collect the terms in -581202*u + 195032*u + 195034*u + 191133*u.
-3*u
Collect the terms in 11581*x**3 + 3 - 3 - 2705*x**3 + 2640*x**3.
11516*x**3
Collect the terms in -823*n**2 - 27 + 98 + 90 + 2738*n**2.
1915*n**2 + 161
Collect the terms in 7*l**3 - 4470729*l**2 + 2235327*l**2 + 2235402*l**2.
7*l**3
Collect the terms in 7220*b**2 - 12385*b**2 - 7488*b**2 + 2*b**3.
2*b**3 - 12653*b**2
Collect the terms in -11511*w + 46052*w - 11507*w - 11510*w - 11523*w.
w
Collect the terms in -2426821 + 89*h**3 + 4853639 - 2426818.
89*h**3
Collect the terms in 983*q**3 + 8048586 - 8048586 - 482*q**3.
501*q**3
Collect the terms in -32867*g - 45337*g + 777680*g.
699476*g
Collect the terms in -8838*b - 16147*b - 1122*b.
-26107*b
Collect the terms in 46957877*x - 93915757*x + 46957873*x.
-7*x
Collect the terms in 542379838*b**3 - 542380185*b**3 + 2 - 2.
-347*b**3
Collect the terms in 246 + 67048*s - 568*s - 246 + 34726*s.
101206*s
Collect the terms in -5*w**3 - 4*w**3 + 16*w**3 + 6*w**3 + 13*w**3 + 24*w**3.
50*w**3
Collect the terms in 254970*m**3 - 510612*m**3 + 255644*m**3.
2*m**3
Collect the terms in 404*u**3 - 882 - 666 + 1550.
404*u**3 + 2
Collect the terms in -456*s - 442*s - 566*s + 1447*s.
-17*s
Collect the terms in -14*l**2 + 12*l**2 + 3*l**2 - 18*l**2 + 4 - 11*l**2 + 0*l**2.
-28*l**2 + 4
Collect the terms in -16057*f**3 - 16052*f**3 - 16050*f**3 + 48133*f**3.
-26*f**3
Collect the terms in -6*c**2 + 822 - c - 493 + 321.
-6*c**2 - c + 650
Collect the terms in 720*l + 3053 - 5991 - 609*l + 2938.
111*l
Collect the terms in -1092044839*n + 23*n**2 + 1092044839*n.
23*n**2
Collect the terms in 20*h**2 + 211*h**3 - 12*h**2 - 2*h**2 + 0*h**2 - 6*h**2.
211*h**3
Collect the terms in 140 - b - 151 - 161.
-b - 172
Collect the terms in 65*o + 7*o**2 + 4 - 64*o - 2*o**2 - 13*o**2 - 11*o**2.
-19*o**2 + o + 4
Collect the terms in 4106*z - 1372*z + 4705*z - 1448*z + 2216*z.
8207*z
Collect the terms in 10*i - 10*i - 207047477*i**2.
-207047477*i**2
Collect the terms in -1288037*g**2 - 4757049*g**2 + g + 1052786*g**2.
-4992300*g**2 + g
Collect the terms in 196*c**3 + 5 + 166*c**2 + 47*c - 42*c - 3.
196*c**3 + 166*c**2 + 5*c + 2
Collect the terms in 73*t - 189*t + 67*t + 52*t + 33*t.
36*t
Collect the terms in 49 + 48 - 146 - 17*o - 36 + 44 + 41.
-17*o
Collect the terms in -374*g**2 - g**3 - 369*g**2 - 16 + 1 + 743*g**2 - 24.
-g**3 - 39
Collect the terms in -261892 + 261892 + 27231*j**2.
27231*j**2
Collect the terms in 0 - 130230*p + 0 + 414821*p.
284591*p
Collect the terms in -35*q + 92*q - 4024 - 36*q + 1396 - 23*q.
-2*q - 2628
Collect the terms in -2*w**3 - 86608076*w**2 - 18 + 86608076*w**2.
-2*w**3 - 18
Collect the terms in 6*a**2 - 18590 - 6*a**2 + 9295 + 39*a**3 + 9289.
39*a**3 - 6
Collect | {
"pile_set_name": "DM Mathematics"
} |
) = -212*u + 20. Let y(k) = -13*k + 1. Let h(l) = -i(l) + 16*y(l). Calculate -3*h(q) - 2*j(q).
-6*q + 6
Let m(p) = -12*p + 2. Let g(s) = -7*s + 11. Let f(d) = -g(d) + 2*m(d). Let t(a) = 8*a + 3. Calculate 4*f(l) + 9*t(l).
4*l - 1
Let p(c) = -126*c - 8. Let g(y) = 111*y + 7. Calculate -6*g(j) - 5*p(j).
-36*j - 2
Let g(c) be the first derivative of 2*c**2 - 5*c + 50. Let l(i) = -4*i - 1. Let r(z) = -42*z - 20. Let b(u) = 12*l(u) - r(u). Calculate -5*b(m) - 8*g(m).
-2*m
Let r(p) = -8*p**3 + 15*p**2 - 45*p - 5. Let o(h) = -17*h**3 + 32*h**2 - 87*h - 11. Determine -6*o(i) + 13*r(i).
-2*i**3 + 3*i**2 - 63*i + 1
Let d(i) = -235016*i**2 - 696*i + 696. Let x(p) = 2362*p**2 + 7*p - 7. Give 7*d(u) + 696*x(u).
-1160*u**2
Let g(x) = 9*x**3 + 32*x**2 + 18*x - 57. Let r(t) = -7*t**3 - 24*t**2 - 18*t + 58. What is 3*g(s) + 4*r(s)?
-s**3 - 18*s + 61
Let i(f) be the third derivative of f**4/6 + 7*f**3/6 + 30*f**2 - 72*f. Let w(r) = 1. Give i(h) - 2*w(h).
4*h + 5
Let s = 20066 - 20060. Let u(m) = 5*m + 5. Let j(k) = -3*k + 1. Let d(t) = -4*t + 2. Let q(g) = 2*d(g) - 3*j(g). Determine s*q(o) - u(o).
o + 1
Let i(v) = -707*v + 144. Let h(d) = 706*d - 157. Calculate 11*h(y) + 12*i(y).
-718*y + 1
Let t(p) = -2*p**3 - 6*p**2 + p - 1. Let j(o) = 19*o**3 + 16*o**2 + 36*o + 7. Give j(y) + 3*t(y).
13*y**3 - 2*y**2 + 39*y + 4
Let z(o) = 7*o**3 + o**2 + o + 5. Let l = 45 - 46. Let g(q) = -q**3 - q**2 - 1. Give l*z(d) - 5*g(d).
-2*d**3 + 4*d**2 - d
Let t(z) = 11*z**3 - z**2 + 10*z + 7. Let p(u) = -u**3 - u**2 + 2*u. Determine 4*p(i) - t(i).
-15*i**3 - 3*i**2 - 2*i - 7
Let j(x) = 2*x**2 + 7*x. Let w(m) = -5*m**2 - 153*m + 2. Give 2*j(v) + w(v).
-v**2 - 139*v + 2
Let h(o) = 7007*o - 47. Let v(d) = -21020*d + 164. What is 7*h(q) + 2*v(q)?
7009*q - 1
Let w(q) = 43*q + 977. Let r(m) = 15*m + 325. Calculate 17*r(u) - 6*w(u).
-3*u - 337
Let z(r) = 24*r**2 - 5*r - 5. Let j(u) = 13 + 36*u - 168*u**2 - 70*u + 70*u + 9 + 14. Determine 5*j(v) + 36*z(v).
24*v**2
Let l(a) = -a**3 - 11*a + 4. Let g(x) = x**3 - x + 1. Let y be -2*7/18 - (-49)/(8379/(-38)). Calculate y*l(b) + 2*g(b).
3*b**3 + 9*b - 2
Let a(f) = -644*f**2 - 54*f + 4. Let b(x) = 32*x - 2. Calculate -a(j) - 2*b(j).
644*j**2 - 10*j
Let i = 293 + -287. Let c(j) = 4*j - 5. Let z(m) = -2*m + 2. Let f = 40 - 27. Give f*z(t) + i*c(t).
-2*t - 4
Let r(h) = h**3 - h - 1. Let b(n) = 4*n + 6. Suppose l + 5 = -2*w, 3*l + 51 = -2*w + 32. What is w*b(d) + 6*r(d)?
6*d**3 - 2*d
Let a(s) = -1390*s**2 + 9*s - 16. Let x(q) = -1390*q**2 + 10*q - 18. Determine 9*a(m) - 8*x(m).
-1390*m**2 + m
Let k(v) = -17*v**2 - 131*v + 12007. Let d(q) = -4*q**2 - 29*q + 3001. Give -9*d(n) + 2*k(n).
2*n**2 - n - 2995
Let l(g) = 3*g**3 + 206*g**2 - 5*g + 15. Let m(h) = 28*h**3 + 1858*h**2 - 47*h + 134. Calculate -19*l(o) + 2*m(o).
-o**3 - 198*o**2 + o - 17
Let w(d) = -14*d**2 - 4*d + 22. Let k(v) = 14*v**2 + 4*v - 18. Let z(l) = 4*k(l) + 3*w(l). Let i(m) = 9*m**2 + 3*m - 4. What is 8*i(y) - 5*z(y)?
2*y**2 + 4*y - 2
Suppose 2*w = -521 - 541. Let f = -532 - w. Let g(n) = -n - 1. Let u(d) = 3*d**2 + 7*d + 4. Determine f*u(k) - 6*g(k).
-3*k**2 - k + 2
Let p(h) = -6*h**3 + 3*h**2 + 2. Let w(j) be the third derivative of j**6/24 - j**5/20 - j**3/3 - 8*j**2 - 26*j. Give -6*p(m) - 7*w(m).
m**3 + 3*m**2 + 2
Let p(z) = z**3 + z**2. Let k(o) = -6*o + 30. Let f be (-289)/(-68) - 1/4. Let i be k(f). Let a(w) = -w**3 - 2*w**2. Give i*p(j) + 3*a(j).
3*j**3
Let q(h) = -12*h**3 - 5*h**2 + 1075*h + 5. Let f(r) = 5*r**3 + 2*r**2 - 539*r - 2. Give 5*f(v) + 2*q(v).
v**3 - 545*v
Let s(n) = -8*n**3 + 96*n**2 - 461. Let x(c) = 5*c**3 - 64*c**2 + 307. Calculate -7*s(y) - 11*x(y).
y**3 + 32*y**2 - 150
Let s(k) = -733*k**3 + 4*k**2 - 4*k. Let t(d) = 736*d**3 - 3*d**2 + 3*d. Calculate 3*s(x) + 4*t(x).
745*x**3
Let r(j) = -397*j**3 + 17*j**2 + 6*j + 5. Let v(w) = -3*w**2 - w. Give r(k) + 6*v(k).
-397*k**3 - k**2 + 5
Let z(a) = -a + 1. Let p(o) = o**2 - 4*o + 4. Let d(l) = l**3 + 18*l**2 + 48*l + 44. Let f = -146 + 131. Let v be d(f). Give v*p(j) + 3*z(j).
-j**2 + j - 1
Let i(f) = 2382*f - 3*f**2 + f**3 + 2352*f - 5 - 2*f**2 - 4713*f. Let m(z) = z**3 - 7*z**2 + 31*z - 7. Determine 7*i(v) - 5*m(v).
2*v**3 - 8*v
Let a(b) = 10*b**3 + 60*b**2 + 11*b - 6. Let n(r) be the second derivative of r**5/10 + r**4 + r**3/3 - r**2/2 - 12584*r. Calculate -2*a(p) + 11*n(p).
2*p**3 + 12*p**2 + 1
Let f(t) be the first derivative of -2*t**3/3 - t**2/2 - 4*t - 3802. Let d(j) = -6*j**2 - 3*j - 11. Determine -6*d(y) + 17*f(y).
2*y**2 + y - 2
Let t(o) = -5 - 223*o**2 + 106*o**2 + 106*o**2. Let k(d) = 4*d**2 + 2. Let b = -17 - -24. Let p be (-57)/(-21) + 2/b. Calculate p*t(y) + 8*k(y).
-y**2 + 1
Let p(v) = -v**2 - 6*v + 1. Let x(k) = -146*k - 30. Let d(a) = 53*a + 11. Let j(f) = 11*d(f) + 4*x(f). What is 2*j(i) - 2*p(i)?
2*i**2 + 10*i
Let j(a) = -12*a**2 - 3*a + 1. Let z(y) = -71*y**2 - 497*y - 5. Determine 6*j(d) - z(d).
-d**2 + 479*d + 11
Let l(q) = q. Let b(v) = 149*v - 2. Let g(t) = -258*t + 3. Let x(k) = 7*b(k) + 4*g(k). Calculate -2*l(o) + x(o).
9*o - 2
Let u(h) = 3*h - 14*h + 2*h + 4*h**2 + 1478 - 1479 + 0*h. Let m(t) = 2*t**2 - 5*t. Give -5*m(g) + 2*u(g).
-2*g**2 + 7*g - 2
Let q(x) = -160*x**2 - 76*x - 10. Let l(z) = -160*z**2 - 54*z - 8. What is -5*l(a) + 4*q(a)?
160*a**2 - 34*a
Let w(p) = -33330*p**2 - 605*p - 121. Let x(z) = 1111*z**2 + 20*z + 4. Determine 4*w(d) + 121*x(d).
1111*d**2
Let l(b) = -3*b - 4. Let z(n) = -n**3 + n**2 + n + 6. Let a be z(2). Let y(q) = q - 2*q - 5 - a*q + 3*q - q. Let r = -5 - -9. Calculate r*y(i) - 5*l(i).
3*i
Let o(d) = 674*d**3 - 6*d**2 + 11*d + 18. Let u(m) = 674*m**3 - 5*m**2 + 9*m + 15. Determine -5*o(f) + 6*u(f).
674*f**3 - f
Let o(c) = 326*c**2 + 80*c. Let s(w) = 163*w**2 + 48*w. Calculate -6*o(h) + 10*s(h).
-326*h**2
Let h(j) = -6*j - 2. Let l(g) = g. Give 2*h(u) + 6*l(u).
-6*u - 4
Let n(w) = 54*w - 49. Let l(y) = -55*y + 35. Calculate -3*l(s) - 2*n(s).
57*s - 7
Let k(i) = 14*i**3 - 8*i - 8. Suppose -451 = -34*t + 195. Suppose -3*f - b = 14, -4*b = 6*f - 9*f - t. Let w(s) = 9*s**3 - 5*s - 5. Calculate f*k(g) + 8*w(g).
2*g**3
Let w(s) = -2953*s**2 - 18*s. Let m(d) = 1160530*d**2 + 7080*d. Determine -9*m(v) - 3540*w(v).
8850*v**2
Let a be (-36)/10*60/(-54). Let x(i) = -28*i**2 - 2. Let k(r) = 27*r**2 + 2. Determine a*k(v) + 5*x(v).
-32*v**2 - 2
Let z(u) = 6*u**2 + 4*u + 1. Let g = 3167 - 3162. Let l(n) = -5*n**2 - 3*n - 1. Give g*l(s) + 4*z(s).
-s**2 + s - 1
Let y(q) = -18023*q + 2. Let x(w) = -36082*w + 5. Determine -2*x(s) + 5*y(s).
-17951*s
Let p(k) be the first derivative of 15*k**2/2 + 33*k + 24738. Let m(b) = 0*b - 2 - b + 0. Calculate -99*m(t) - 6*p(t).
9*t
Let j(h) = h**2 + 3*h - 24. Suppose 6*a = -4*a - 60. Let k be j(a). Let w(q) = -8*q - 6. Let x(y) = -7*y - 5. Calculate k*x(v) + 5*w(v).
2*v
Let t(k) = -7*k**3 + 8*k**2 - 3*k. Suppose -40*v = -46*v - 18. Let r(s) = -s**2 + s**2 + s**3 + s - 3*s**2 + s**3. Determine v*t(h) - 8*r(h).
5*h**3 + h
Let c(l) = l**3 - 6*l**2 + 9*l - 7. Let i = -78 - -81. Let a be c(i). Let j(n) = 3*n - 1. Let v(g) = -9*g + 4. What is a*j(m) - 2*v(m)?
-3*m - 1
Let y = -12 + 25. Let j(n) = 15*n**2 - 15*n. Let m(c) be the first derivative of 7/2*c**2 - 7/3*c**3 + 0*c + 4. Give y*m(f) + 6*j(f).
-f**2 + f
Let v(n) = 147*n - 1319. Let q be v(9). Let k(b) = -b**3 - b**2 - 1. Let f(h) = -3*h**3 - 23*h**2 - 4. What is q*k(m) - f(m)?
-m**3 + 19*m**2
Let g(j) = -9*j**3 - 4*j**2 + 4*j - 4. Let z(r) = -143*r**3 - 65*r**2 + 65*r - 65. Let o be ((-18)/(-24))/((-96)/(-512)). What is o*z(m) - 65*g(m)?
13*m**3
Let c(j) = -36*j**2 + 1122*j - 59. Let n(o) = 5*o**2 - 160*o + 8. Determine 2*c(p) + 15*n(p).
3*p**2 - 156*p + 2
Let l(v) = 5*v - 5. Let a(y) = -9*y + 9. Suppose -3*g + 373 = -173. Let b = -175 + g. Give b*l(r) + 4*a(r).
-r + 1
Let x(j) = -j**2 + j + 1. Let z(p) = 6*p**2 - 5*p - 5. Let c(y) = y**3 + 8*y**2 - 5*y - 1. Let w be c(-7). Let v = w - 81. Give v*z(i) + 10*x(i).
2*i**2
Let b(f) = -31*f**2 - 78*f + 41. Let d(r) = -17*r**2 - 39*r + 23. Give 6*b(n) - 11*d(n).
n**2 - 39*n - 7
Let a = -5 + 54. Suppose -5*x + 34 = a. Let o(t) = 6*t**2 + 2*t + 3. Let n(f) = 7*f**2 + 3*f + 4. Give x*o(l) + 2*n(l).
-4*l**2 - 1
Let d(y) = 6*y + 1. Let o(r) = -9*r - 4. Let w(g) = 19*g + 9. Let b(n) = 7*o(n) + 3*w(n). Let c be 78/1131 - (-1 + (-354)/(-87)). Calcul | {
"pile_set_name": "DM Mathematics"
} |
illilitres are there in 440.22l?
440220
Convert 9.957416kg to micrograms.
9957416000
What is 25588.41kg in tonnes?
25.58841
What is 0.2036911 millilitres in litres?
0.0002036911
How many milligrams are there in 1/10 of a kilogram?
100000
How many micrometers are there in 21/8 of a millimeter?
2625
How many millilitres are there in 11/4 of a litre?
2750
How many centimeters are there in 256.4794m?
25647.94
How many hours are there in two sevenths of a week?
48
What is 0.7166815 micrometers in nanometers?
716.6815
How many millilitres are there in six fifths of a litre?
1200
How many millilitres are there in fifteen quarters of a litre?
3750
How many centuries are there in 2470.131 decades?
247.0131
How many weeks are there in 46462.871 days?
6637.553
How many months are there in 7/4 of a year?
21
How many kilometers are there in 0.585518 centimeters?
0.00000585518
How many micrometers are there in eleven halves of a centimeter?
55000
Convert 7.433415 nanograms to kilograms.
0.000000000007433415
How many millilitres are there in 393.5707 litres?
393570.7
How many nanograms are there in fifty-two fifths of a microgram?
10400
How many months are there in 13/5 of a century?
3120
How many micrograms are there in 18/5 of a milligram?
3600
Convert 0.409273 litres to millilitres.
409.273
How many hours are there in three sevenths of a week?
72
How many nanoseconds are there in 3/8 of a microsecond?
375
How many millilitres are there in 0.8121657 litres?
812.1657
What is 7/4 of a litre in millilitres?
1750
How many kilograms are there in three tenths of a tonne?
300
What is 1703404.8 microseconds in minutes?
0.02839008
What is seventeen halves of a kilometer in meters?
8500
What is fourty-three halves of a decade in months?
2580
How many meters are there in 3/40 of a kilometer?
75
What is twenty-five quarters of a century in years?
625
What is 1/10 of a kilogram in grams?
100
What is 42/5 of a millennium in decades?
840
How many millilitres are there in one fifth of a litre?
200
What is 3/25 of a microgram in nanograms?
120
What is fourty-nine fifths of a millennium in decades?
980
Convert 388457.1 microseconds to hours.
0.00010790475
How many seconds are there in 4/3 of a minute?
80
How many millilitres are there in seventeen halves of a litre?
8500
What is one tenth of a centimeter in micrometers?
1000
What is 13/5 of a millennium in centuries?
26
What is 3/5 of a litre in millilitres?
600
How many nanometers are there in 536.3359mm?
536335900
How many micrometers are there in 266.416 centimeters?
2664160
How many kilometers are there in 4438.113nm?
0.000000004438113
What is 15/4 of a kilogram in grams?
3750
How many millilitres are there in eleven quarters of a litre?
2750
How many nanometers are there in 3/8 of a micrometer?
375
How many litres are there in 58610.3 millilitres?
58.6103
What is 3/8 of a microsecond in nanoseconds?
375
What is twenty-seven fifths of a meter in centimeters?
540
How many millilitres are there in three tenths of a litre?
300
What is 105.67932 months in years?
8.80661
What is 3/5 of a centimeter in millimeters?
6
What is 7/6 of a minute in seconds?
70
How many centuries are there in 39480.16 millennia?
394801.6
What is 23599.4um in centimeters?
2.35994
How many micrometers are there in 868.746 centimeters?
8687460
What is 17/2 of a week in minutes?
85680
What is 459.1676 millilitres in litres?
0.4591676
How many seconds are there in 1/45 of a hour?
80
What is 13/5 of a centimeter in micrometers?
26000
What is sixty-one quarters of a kilometer in meters?
15250
What is thirteen eighths of a microgram in nanograms?
1625
How many milligrams are there in 1.589282 grams?
1589.282
What is 2/7 of a week in hours?
48
How many micrometers are there in 201.72 millimeters?
201720
How many micrometers are there in three fifths of a centimeter?
6000
How many kilometers are there in 8955.53 nanometers?
0.00000000895553
What is 17/2 of a litre in millilitres?
8500
How many millilitres are there in 3/5 of a litre?
600
What is six fifths of a microsecond in nanoseconds?
1200
What is twenty-seven fifths of a litre in millilitres?
5400
How many centimeters are there in 6/25 of a meter?
24
Convert 0.40675 millennia to decades.
40.675
What is twenty-one halves of a kilogram in grams?
10500
How many millilitres are there in 11/8 of a litre?
1375
What is 45/8 of a kilometer in meters?
5625
What is 809.9655ms in nanoseconds?
809965500
Convert 0.8361072 grams to milligrams.
836.1072
How many centimeters are there in 193.1983 millimeters?
19.31983
Convert 130.2699ns to minutes.
0.000000002171165
How many grams are there in 3/10 of a kilogram?
300
How many nanograms are there in twenty-seven fifths of a microgram?
5400
How many months are there in 7/2 of a year?
42
What is 654.229g in tonnes?
0.000654229
Convert 54027.04l to millilitres.
54027040
How many years are there in seventy-three quarters of a century?
1825
Convert 681.4221 millennia to years.
681422.1
Convert 5.903204um to millimeters.
0.005903204
What is seven quarters of a microsecond in nanoseconds?
1750
Convert 13688.991ns to minutes.
0.00000022814985
What is 5/4 of a litre in millilitres?
1250
How many micrograms are there in eleven halves of a milligram?
5500
How many months are there in 37/5 of a millennium?
88800
What is 3/50 of a meter in micrometers?
60000
What is three fifths of a milligram in micrograms?
600
Convert 591657.1 centimeters to meters.
5916.571
How many seconds are there in 21/4 of a hour?
18900
How many decades are there in 55.17576 years?
5.517576
How many meters are there in 0.5123125nm?
0.0000000005123125
What is 13/5 of a milligram in micrograms?
2600
What is 5.406518g in milligrams?
5406.518
How many nanometers are there in one quarter of a micrometer?
250
What is 12.00055us in milliseconds?
0.01200055
Convert 1917.94 decades to years.
19179.4
How many micrometers are there in 74.20919mm?
74209.19
What is 2/15 of a millennium in months?
1600
What is 51.67311l in millilitres?
51673.11
How many millimeters are there in 25/8 of a meter?
3125
How many minutes are there in 13/4 of a week?
32760
What is 14.780313 months in millennia?
0.00123169275
How many millilitres are there in 0.2711397l?
271.1397
What is 1/16 of a kilometer in centimeters?
6250
How many millilitres are there in 1/4 of a litre?
250
What is six fifths of a micrometer in nanometers?
1200
How many kilograms are there in five quarters of a tonne?
1250
What is 3/50 of a litre in millilitres?
60
What is 148.34547 months in years?
12.3621225
How many millilitres are there in 1.938464l?
1938.464
How many grams are there in one tenth of a tonne?
100000
What is 6/25 of a litre in millilitres?
240
What is 1/64 of a millisecond in nanoseconds?
15625
How many months are there in 401733.2 years?
4820798.4
How many months are there in 21/4 of a century?
6300
How many decades are there in 19.457868 months?
0.1621489
How many centimeters are there in 61491.52mm?
6149.152
What is 746800.8ug in nanograms?
746800800
How many grams are there in ninety-one quarters of a kilogram?
22750
Convert 552.1249ml to litres.
0.5521249
How many millennia are there in 280.40571 months?
0.0233671425
What is 17/2 of a decade in months?
1020
What is 5/4 of a week in hours?
210
How many litres are there in 4832.746ml?
4.832746
Convert 5955.084 days to milliseconds.
514519257600
What is 587.1944 microseconds in seconds?
0.0005871944
What is one fifth of a century in months?
240
What is 1/5 of a microgram in nanograms?
200
How many litres are there in 81.8309ml?
0.0818309
What is 55/2 of a year in months?
330
What is 3/10 of a litre in millilitres?
300
What is eleven quarters of a kilometer in meters?
2750
How many weeks are there in 1591825.095ms?
0.0026319859375
How many days are there in 14664015.9 nanoseconds?
0.00000016972240625
Convert 8.806593 micrograms to grams.
0.000008806593
Convert 773.3191 nanometers to micrometers.
0.7733191
What is 3/25 of a litre in millilitres?
120
Convert 1.852706 kilometers to nanometers.
1852706000000
What is 1/20 of a decade in months?
6
What is 3/40 of a microgram in nanograms?
75
How many weeks are there in 1730474.928 seconds?
2.861235
What is 72.48813 meters in millimeters?
72488.13
What i | {
"pile_set_name": "DM Mathematics"
} |
36.
-2*(g - 603)**2*(g + 2)
Determine h so that 4*h**2/7 + 68*h/7 - 72/7 = 0.
-18, 1
What is q in 4*q**5 + 292*q**4 + 568*q**3 - 8*q**2 - 572*q - 284 = 0?
-71, -1, 1
Factor -11*i**4/2 + 13*i**3/2 + 9*i**2.
-i**2*(i - 2)*(11*i + 9)/2
Factor 2*q**2 - 24*q - 26.
2*(q - 13)*(q + 1)
Solve u**2 - 11784*u + 34715664 = 0.
5892
Solve 4*f**2 + 1512*f + 3008 = 0 for f.
-376, -2
Factor -11*u**4/3 + 35*u**3/3 - 2*u**2.
-u**2*(u - 3)*(11*u - 2)/3
Determine c, given that -6*c**5 - 2558*c**4 - 366324*c**3 - 18014724*c**2 - 56422278*c - 16819326 = 0.
-141, -3, -1/3
Determine y so that 4*y**2/3 - 68*y/3 + 88 = 0.
6, 11
Factor -20*f**3 + 2955*f**2 - 5100*f - 1460.
-5*(f - 146)*(f - 2)*(4*f + 1)
Let l**4/7 + 10*l**3/7 + 4*l**2/7 - 6*l + 27/7 = 0. Calculate l.
-9, -3, 1
Let -2*n**5 + 30*n**4 - 130*n**3 + 130*n**2 + 132*n - 160 = 0. What is n?
-1, 1, 2, 5, 8
Determine v so that 3*v**2/7 - 3*v + 18/7 = 0.
1, 6
Factor -2*j**2/5 - 5968*j/5 - 5966/5.
-2*(j + 1)*(j + 2983)/5
Solve -4*u**3/5 + 184*u**2/5 = 0.
0, 46
Factor -27*q**2 + 53*q - 26.
-(q - 1)*(27*q - 26)
Factor -4*h**5 + 28*h**4 - 12*h**3 - 92*h**2 + 128*h - 48.
-4*(h - 6)*(h - 1)**3*(h + 2)
Factor -10*s**3 + 19*s**2 - 8*s - 1.
-(s - 1)**2*(10*s + 1)
Factor -2*f**2/5 + 16*f/5 + 66/5.
-2*(f - 11)*(f + 3)/5
Find b, given that b**3/5 + b**2/5 - 2*b + 8/5 = 0.
-4, 1, 2
Find w, given that -175*w**5 - 995*w**4 - 1215*w**3 - 25*w**2 + 490*w + 120 = 0.
-4, -1, -2/7, 3/5
Find i such that -2*i**3 - 26*i**2 - 46*i - 22 = 0.
-11, -1
What is c in -2*c**2 + 160*c - 3200 = 0?
40
Determine p so that 3*p**3/7 + 33*p**2/7 + 120*p/7 + 144/7 = 0.
-4, -3
Determine y, given that -y**2/5 + 74*y/5 + 152/5 = 0.
-2, 76
Suppose 5*j**4 + 335*j**3/3 + 1085*j**2/3 - 9815*j/3 - 3380/3 = 0. What is j?
-13, -1/3, 4
What is u in 2*u**2/9 - 3662*u/9 + 1220/3 = 0?
1, 1830
Solve r**4 - 11*r**3 + 18*r**2 = 0.
0, 2, 9
Suppose b**2 + 30*b = 0. What is b?
-30, 0
Factor -j**2/2 + 3*j - 4.
-(j - 4)*(j - 2)/2
Determine k, given that -3*k**2/4 - 3*k + 9 = 0.
-6, 2
Suppose -4*r**5 - 72*r**4 + 348*r**3 + 5296*r**2 - 35520*r + 57600 = 0. What is r?
-15, 4
Factor 3*c**3/2 - 321*c**2/2 + 8745*c/2 - 8427/2.
3*(c - 53)**2*(c - 1)/2
Find w, given that w**5/2 - 25*w**4/2 + 102*w**3 - 344*w**2 + 416*w = 0.
0, 4, 13
Find g such that g**3 - 5*g**2 - 2*g + 24 = 0.
-2, 3, 4
Let 8*f**3/9 - 82*f**2/9 + 220*f/9 - 50/9 = 0. What is f?
1/4, 5
Factor -z**2/7 - 31*z/7 + 410/7.
-(z - 10)*(z + 41)/7
Solve u**5 - 13*u**4 - 2*u**3 + 26*u**2 + u - 13 = 0 for u.
-1, 1, 13
Determine d so that d**2 + 15*d - 34 = 0.
-17, 2
Let -4*v**4/5 + 148*v**3/5 + 184*v**2/5 - 1168*v/5 - 1824/5 = 0. Calculate v.
-2, 3, 38
Find j, given that 4*j**2 - 12*j + 8 = 0.
1, 2
Find g such that 25*g**4 + 1615*g**3 + 30150*g**2 + 168980*g - 72520 = 0.
-37, -14, 2/5
Factor 2*x**5 + 7444*x**4/3 + 3464560*x**3/3 + 239096800*x**2 + 55887916000*x/3 + 36940840000/3.
2*(x + 310)**4*(3*x + 2)/3
Solve -4*y**4/5 - 64*y**3/5 - 164*y**2/5 - 104*y/5 = 0 for y.
-13, -2, -1, 0
Factor 4*r**3/5 - 104*r**2/5 + 101*r/5 - 5.
(r - 25)*(2*r - 1)**2/5
Solve -6*x**2 + 69*x/4 + 9/4 = 0 for x.
-1/8, 3
Factor 3*l**2 - 7*l/4.
l*(12*l - 7)/4
Let -2*y**3/21 + 106*y**2/21 - 194*y/3 + 418/7 = 0. Calculate y.
1, 19, 33
Determine k so that -21*k**5/4 + 39*k**4/2 - 39*k**3/4 - 51*k**2/2 + 15*k + 6 = 0.
-1, -2/7, 1, 2
Suppose 3*u**3 + 42*u**2 + 105*u + 66 = 0. Calculate u.
-11, -2, -1
Factor -5*w**3 - 55*w**2 - 40*w + 100.
-5*(w - 1)*(w + 2)*(w + 10)
Factor -2*z**2/5 + 329*z/5 + 33.
-(z - 165)*(2*z + 1)/5
Find h, given that h**4 + 4*h**3 - 27*h**2 + 38*h - 16 = 0.
-8, 1, 2
Factor 8*u**3/5 - 108*u**2/5 + 8*u + 156/5.
4*(u - 13)*(u + 1)*(2*u - 3)/5
Find z, given that -z**3/7 + 8*z**2/7 + 33*z/7 = 0.
-3, 0, 11
Solve 4*t**5/3 - 8*t**4/3 - 8*t**3/3 + 16*t**2/3 + 4*t/3 - 8/3 = 0.
-1, 1, 2
Factor -4*q**3 + 40*q**2 - 36*q.
-4*q*(q - 9)*(q - 1)
What is z in -3*z**4/7 + 81*z**3/7 - 129*z**2/7 - 6885*z/7 + 6936/7 = 0?
-8, 1, 17
Let -o**5/4 - o**4/2 - o**3/4 = 0. What is o?
-1, 0
Factor -20*t**5 - 48*t**4 - 16*t**3.
-4*t**3*(t + 2)*(5*t + 2)
Determine u so that 5*u**4 + 120*u**3 - 125*u**2 = 0.
-25, 0, 1
Factor 2*d**3 + 4450*d**2 + 2477536*d + 2473088.
2*(d + 1)*(d + 1112)**2
Factor -v**5/5 + 3*v**4/5 + 4*v**3/5 - 16*v**2/5 + 16/5.
-(v - 2)**3*(v + 1)*(v + 2)/5
Let -w**3/7 + 9*w**2 + 634*w/7 + 144 = 0. What is w?
-7, -2, 72
Find r, given that 2*r**2/13 - 102*r/13 - 212/13 = 0.
-2, 53
Factor 6*z**2 + 382*z - 128.
2*(z + 64)*(3*z - 1)
Factor f**3/3 - 5*f**2/3 + 8*f/3 - 4/3.
(f - 2)**2*(f - 1)/3
Factor -432*i**3 - 603720*i**2 - 281232900*i - 43669219750.
-2*(6*i + 2795)**3
Determine q, given that q**2/5 - 17*q/5 - 18/5 = 0.
-1, 18
Factor 2*s**4/5 - 42*s**3/5 - 192*s**2/5 - 40*s.
2*s*(s - 25)*(s + 2)**2/5
Let 4*s**2 + 192*s + 540 = 0. What is s?
-45, -3
Determine j so that -7*j**5 - 12*j**4 + 60*j**3 + 110*j**2 + 27*j - 18 = 0.
-3, -1, 2/7, 3
Factor h**3/5 - 3*h**2 - 81*h/5 + 19.
(h - 19)*(h - 1)*(h + 5)/5
Determine r, given that -20*r**3 - 88*r**2 - 124*r - 56 = 0.
-2, -7/5, -1
Determine j so that -2*j**4/13 - 2*j**3/13 + 2*j**2/13 + 2*j/13 = 0.
-1, 0, 1
Factor -2*o**4 - 102*o**3 - 1248*o**2 + 1352*o.
-2*o*(o - 1)*(o + 26)**2
What is d in -3*d**4 - 6*d**3 + 27*d**2 + 6*d - 24 = 0?
-4, -1, 1, 2
Factor q**3/4 - 5*q**2 - 119*q/4 - 75/2.
(q - 25)*(q + 2)*(q + 3)/4
Factor 2*x**3/3 - 4*x**2 - 2*x/3 + 20.
2*(x - 5)*(x - 3)*(x + 2)/3
Factor 3*n**3/2 + 69*n**2/2 - 117*n.
3*n*(n - 3)*(n + 26)/2
Determine r so that -14*r**4/9 - 4112*r**3/9 - 1680*r**2 - 11584*r/9 + 4640/9 = 0.
-290, -2, 2/7
Factor -2*h**2/9 + 26*h/3 - 340/9.
-2*(h - 34)*(h - 5)/9
Determine k so that -4*k**2 + 40*k - 84 = 0.
3, 7
Suppose g**4 + 13*g**3 + 59*g**2 + 107*g + 60 = 0. What is g?
-5, -4, -3, -1
Factor -3*f**4 + 69*f**3/7 - 18*f**2/7.
-3*f**2*(f - 3)*(7*f - 2)/7
Factor -5*b**3 - 70*b**2 + 345*b - 270.
-5*(b - 3)*(b - 1)*(b + 18)
Determine h, given that -2*h**4/11 + 48*h**3/11 - 4*h**2 - 48*h/11 + 46/11 = 0.
-1, 1, 23
Factor f**3 - 2*f**2 - f + 2.
(f - 2)*(f - 1)*(f + 1)
Factor g**2/8 - 7*g/4.
g*(g - 14)/8
Let 2*g**3/5 + 2*g**2/5 - 8*g/5 - 8/5 = 0. What is g?
-2, -1, 2
Factor 3*t**4/8 + 3*t**3/4 - 21*t**2/8 + 3*t/2.
3*t*(t - 1)**2*(t + 4)/8
Determine h so that -14*h**4 - 1012*h**3 - 12342*h**2 - 43232*h - 11368 = 0.
-58, -7, -2/7
Factor -2*z**3/13 - 30*z**2/13 - 144*z/13 - 216/13.
-2*(z + 3)*(z + 6)**2/13
Let -f**5/2 - 7*f**4/2 - 13*f**3/2 + 3*f**2/2 + 9*f = 0. Calculate f.
-3, -2, 0, 1
Solve k**3 + 26*k**2/3 + 5*k - 8/3 = 0 for k.
-8, -1, 1/3
Factor 2*t**4/9 - 4*t**2/9 + 2/9.
2*(t - 1)**2*(t + 1)**2/9
Let 5*t**4 + 3155*t**3 + 496120*t**2 - 499280*t = 0. What is t?
-316, 0, 1
Factor b**2/2 - 941*b + 885481/2.
(b - 941)**2/2
Factor -6*r**3/13 - 28*r**2/13 - 16*r/13.
-2*r*(r + 4)*(3*r + 2)/13
Factor j**2/4 - 21*j/4.
j*(j - 21)/4
Find k, given that 5*k**4 + 120*k**3 - 3030*k**2 + 17920*k - 30135 = 0.
-41, 3, 7
Find f such that 5*f**2 - 20*f = 0.
0, 4
Factor 2645*u**2/6 + 115*u + 15/2.
5*(23*u + 3)**2/6
Factor s**2/3 - 83*s/3 + 1720/3.
(s - 43)*(s - 40)/3
Factor -s**3 - 8*s**2 - 13*s - 6.
-(s + 1)**2*(s + 6)
Determine u so that -6*u**4 - 124*u**3/5 - 18*u**2 + 52*u/5 + 48/5 = 0.
-3, -1, -4/5, 2/3
Determine j, given that 2*j**4/3 - 40*j**3/3 + 200*j**2/3 = 0.
0, 10
Factor -a**3/5 + a**2 - 7*a/5 + 3/5.
-(a - 3)*(a - 1)**2/5
Determine g so that 3*g**5/5 - 93*g**3/5 + 318*g**2/5 - 396*g/5 + 168/5 = 0.
-7, 1, 2
Factor 3*b**3 + 114*b**2 - 1617*b.
3*b*(b - 11)*(b + 49)
Factor -4*l**3 - 36*l**2 + 84*l - 44.
-4*(l - 1)**2*(l + 11)
Determine r, given that r**5 - 7*r**3 - 2*r**2 + 12*r + 8 = 0.
-2, -1, 2
Let 3*i**5 + 9*i**4 - 27*i**3 - 69*i**2 + 72*i + 108 = 0. What is i?
-3, -1, 2
Factor 3*g**4 - 42*g**3 + 180*g**2 - 246*g + 105.
3*(g - 7)*(g - 5)*(g - 1)**2
Determine p, given that p**3 + 18*p**2 + 96*p + 128 = 0.
-8, -2
Let 8*h**2/11 + 18*h/11 - 18/11 = 0. What is h?
-3, 3/4
Solve -4*s**3 - 56*s**2 + 1356*s - 1296 = 0 for s.
-27, 1, 12
Determine d, given that -3*d**4/7 - 30*d**3/7 - 69*d**2/7 + 30*d/7 + 72/7 = 0.
-6, -4, -1, 1
Let -4*j**4 - 48*j**3 - 140*j**2 + 48*j + 144 = 0. What is j?
-6, -1, 1
Solve 3*l**5/4 - 4233*l**4/2 - 33897*l**3/4 - 10596*l**2 - 4239*l = 0.
-2, -1, 0, 2826
Factor -5*k**2 - 35*k + 150.
-5*(k - 3)*(k + 10)
Factor -3*f**4 + 12*f**3 + 63*f**2.
-3*f**2*(f - 7)*(f + 3)
Factor 2*l** | {
"pile_set_name": "DM Mathematics"
} |
+ 718
What is the second derivative of 11*p**5 - 112*p**3 - 13*p**2 - 365*p + 505?
220*p**3 - 672*p - 26
What is the third derivative of -79*m**3*z**4 + 91549*m**3*z + 1241*m*z**5 + m*z**2 wrt z?
-1896*m**3*z + 74460*m*z**2
What is the first derivative of 842053*f*j - 850997*f wrt j?
842053*f
What is the third derivative of -28470*t**3*z - t**2 + 14637*t + z wrt t?
-170820*z
Differentiate -5*b**3 + 53*b**2*c*v + 16*b*c - 1926*c*v + 15*c with respect to b.
-15*b**2 + 106*b*c*v + 16*c
Differentiate 107*b**4 - 6*b**3 - 7*b - 29456 with respect to b.
428*b**3 - 18*b**2 - 7
Find the second derivative of -847627*r**3 - 31421*r.
-5085762*r
Find the second derivative of -4416823*j**5 - 2489192*j wrt j.
-88336460*j**3
Find the second derivative of -2501*b*l**3*y**2 - b*l**3 - 42*b*l**2*y**2 - 24*b*l*y + 6*b*l - 3*l**3*y - 27*l wrt y.
-5002*b*l**3 - 84*b*l**2
What is the second derivative of -3*a**2*b**3 + 176*a**2*b**2 - 2*a**2*b + 32*a**2 - 4*a + 27332*b**3 wrt a?
-6*b**3 + 352*b**2 - 4*b + 64
Find the second derivative of 105956*b**2 - 389711*b wrt b.
211912
Find the first derivative of -290538*u + 87768.
-290538
Find the second derivative of 137*j**4 + 3*j**3 - 24*j**2 + 2869*j + 217 wrt j.
1644*j**2 + 18*j - 48
What is the first derivative of -3*f**3 - 43493*f - 118000?
-9*f**2 - 43493
What is the derivative of 22792*n*v - 4*n - 191461*v wrt n?
22792*v - 4
What is the derivative of -2087*q**2 + 6*q + 9798 wrt q?
-4174*q + 6
What is the third derivative of 15740*n**4 + 2069*n**2 - 8?
377760*n
Find the third derivative of 318741*u**4 + 14069*u**2.
7649784*u
Find the third derivative of -2*k*t**4 - 540*k - 1199*t**4 + 13*t**2 wrt t.
-48*k*t - 28776*t
Find the second derivative of -5*b**4*f - 40*b**3*l - b**2*f*l + 7*b*f + 2*b + 11*f + 15*l - 1 wrt b.
-60*b**2*f - 240*b*l - 2*f*l
Find the second derivative of -54*g**3 + 325*g**2 + 38351*g + 1.
-324*g + 650
Differentiate i**4 - 2*i**3*y - 4062*i + 4385*y + 2 wrt i.
4*i**3 - 6*i**2*y - 4062
What is the second derivative of -55*b**4 - 136*b**3 - 3*b**2 + 7*b - 25846?
-660*b**2 - 816*b - 6
What is the second derivative of -38*g*m**2*p**2 - 69*g*m**2 + 2*g*m*p - g - 2*m**2*p**3 + 7*m**2*p - 2*p**2 wrt p?
-76*g*m**2 - 12*m**2*p - 4
Find the first derivative of -6135125*f*s - 5779769*s wrt f.
-6135125*s
Find the second derivative of -159*p*u**2 + 117*p*u + 5*p - 22*u**2 + 13*u wrt u.
-318*p - 44
What is the second derivative of 2*c**2*i**2 - 10*c**2*i - 307*c + 4189*i**5 wrt i?
4*c**2 + 83780*i**3
Find the third derivative of 100*h*n*u**5 - 2*h*u + 1070*n*u**3 - 75725*n*u**2 + 2*n wrt u.
6000*h*n*u**2 + 6420*n
What is the first derivative of 15133*f**4 + 20*f**3 + f**2 + 4153388 wrt f?
60532*f**3 + 60*f**2 + 2*f
Differentiate -50846*c*l**2 + 46998*l**2 with respect to c.
-50846*l**2
Find the first derivative of -27*a*g*i + 4*a*g - 40518*a*i**2 - 2*a*i + g*i**2 + 2045*g*i wrt g.
-27*a*i + 4*a + i**2 + 2045*i
What is the first derivative of 159*h**3 - 1646*h**2 + 575185?
477*h**2 - 3292*h
Find the second derivative of -16*p**5*u - 39*p**3 + 12*p**2*u + 2*p*u + 3*p - 244*u - 10 wrt p.
-320*p**3*u - 234*p + 24*u
Differentiate 65037*a*c**3*s**2 - 2*a*c*s**3 + 3*c**3*s**3 - 4*c**3*s**2 - 25*c*s**3 - 54*c*s wrt a.
65037*c**3*s**2 - 2*c*s**3
What is the second derivative of -1410551*i**2*l - i**2 + 857*i*l + 46*l + 2 wrt i?
-2821102*l - 2
Find the second derivative of -294479*u**5 - 19*u - 8369 wrt u.
-5889580*u**3
Find the second derivative of -120876*j**4 - 2*j**3*x - 11263*j*x + x wrt j.
-1450512*j**2 - 12*j*x
Find the second derivative of -57260*g**3 + 2604*g + 3.
-343560*g
What is the first derivative of -1962*q - 9346?
-1962
Find the second derivative of -4*m**3*q**5 - 7724*m**3*q**2 - 5*m**3*q + 4756*m**3 wrt q.
-80*m**3*q**3 - 15448*m**3
What is the derivative of -2*b*v**3*w + 2*b*v**3 - 50634*b - 102*v**3*w + 99*w wrt w?
-2*b*v**3 - 102*v**3 + 99
Find the third derivative of 13*s**3*v*w**3 + 2013*s**3*v*w**2 + 2*s**2*w**3 + 2*s**2*w + 680*s*v*w**3 + v*w**3 wrt s.
78*v*w**3 + 12078*v*w**2
Find the second derivative of 691*x**4 - 3*x**3 + 2940*x - 2.
8292*x**2 - 18*x
Find the second derivative of 76071*m**2*o**3 + 2*m*o**3 - 2*m*o**2 + m - 190*o**3 - 1 wrt m.
152142*o**3
Find the first derivative of 624*h**4 - 2*h**3 + 7*h**2 - 43*h + 1927866.
2496*h**3 - 6*h**2 + 14*h - 43
Find the third derivative of -22*n*q**6 + 4354*n*q**3 + 268405*n*q**2 wrt q.
-2640*n*q**3 + 26124*n
Find the third derivative of 19788*o**3*q**2 + 5*o**2*q**2 + 79*o*q**2 + 2*o*q + 3*q**2 wrt o.
118728*q**2
Differentiate -146880*n*r - 4138*n - 7 with respect to r.
-146880*n
What is the third derivative of -r**6 - 1700818*r**3 + 2*r**2 + 2*r + 1913205 wrt r?
-120*r**3 - 10204908
Find the first derivative of -31444*g*l - g*z - 16*l*z**2 - 114734*z**2 wrt l.
-31444*g - 16*z**2
Find the third derivative of 61098*w**3 - 3*w**2 + 13*w + 110 wrt w.
366588
Differentiate -6*a**3 + 59*a**2 + 11*a - 232619 wrt a.
-18*a**2 + 118*a + 11
Find the third derivative of -3055*g**3*z**2 - 17*g**3 + 5*g**2*z**2 + g**2*z + 1789*z wrt g.
-18330*z**2 - 102
What is the first derivative of 18339*i*r - 13468*i + r**2 + 2*r wrt r?
18339*i + 2*r + 2
Differentiate -8003*t**3*u**3 - 7*t**3*u - 2*u**3 - 39*u + 62 with respect to t.
-24009*t**2*u**3 - 21*t**2*u
What is the second derivative of 31*l*v**4 - 163*l*v**3 + 4*l - 2*v**2 + 4633*v wrt v?
372*l*v**2 - 978*l*v - 4
What is the derivative of 114*x**4 + 2*x**3 + 51*x**2 + 1800804?
456*x**3 + 6*x**2 + 102*x
Find the second derivative of 3264876*z**5 - 12*z - 52169 wrt z.
65297520*z**3
Find the third derivative of 2*d**4 - 25249*d**3 - 94004*d**2.
48*d - 151494
Find the second derivative of 76*q**3*y**3 + 146*q**3 - q**2*y**2 - 9*q*y**3 + 144*y**3 + 9 wrt q.
456*q*y**3 + 876*q - 2*y**2
What is the second derivative of 325825*x**2 + 19*x + 539?
651650
What is the second derivative of -2*l**2*n**2 + 26502*l**2 - 2*l*n**2 + 109*n**2 + 18*n + 1 wrt l?
-4*n**2 + 53004
What is the third derivative of 3022*k**2*t*x**3 - 2*k**2*t*x**2 + 2*k**2*x**2 + 9*k*t*x**3 - 2*k*t*x + 29792*x wrt x?
18132*k**2*t + 54*k*t
Find the second derivative of -117965*s**2 - 232299*s.
-235930
Find the second derivative of 3966684*w**2 + 2290231*w wrt w.
7933368
What is the first derivative of -1038*c**2 + 10*c + 19863 wrt c?
-2076*c + 10
Find the first derivative of -11*m**3*s + 3417*m**2*s + 601875*s wrt m.
-33*m**2*s + 6834*m*s
Find the third derivative of -48*s**6 + 5*s**3 + 26939*s**2 wrt s.
-5760*s**3 + 30
Differentiate -2*i*v**3 + 46308*i + 1768429*v**3 - 1 with respect to v.
-6*i*v**2 + 5305287*v**2
What is the second derivative of -22164*y**3 + 47009*y?
-132984*y
What is the third derivative of 40535*d**3*h**2 + 8*d**3 + 47*d**2*h**2 - 3*d**2*h + 6*h**2 wrt d?
243210*h**2 + 48
Find the third derivative of -423711*g**3 - 2*g**2 - 22*g + 3155.
-2542266
Find the second derivative of -179264*h**3 - 32*h + 3344.
-1075584*h
Differentiate 14*o**2 + 419*o + 2193 wrt o.
28*o + 419
Find the second derivative of 30005*a**2 - 35741*a - 1 wrt a.
60010
Find the third derivative of -k**5 - 53493*k**4 + 2*k**3 - 244471*k**2 wrt k.
-60*k**2 - 1283832*k + 12
Differentiate 34*p**2*z + 4*p**2 + 3*p + 17*z + 716 wrt z.
34*p**2 + 17
Differentiate 734036*m**2 - 186313.
1468072*m
Find the second derivative of 7*l**3 - 76208*l**2 + 2287385*l.
42*l - 152416
Find the first derivative of -1192091*b - 762982.
-1192091
Find the second derivative of 3552604*z**4 + 257*z + 4154.
42631248*z**2
Find the first derivative of 215356*m + 16443.
215356
Find the third derivative of -73616*n**3 - 13*n**2 - 2085*n + 2 wrt n.
-441696
Differentiate -2*f*k - 2159117*f + 4340719*k with respect to f.
-2*k - 2159117
Differentiate -8*m*y**2 + 36*m*y + 3274*m - 1348*y - 649 wrt y.
-16*m*y + 36*m - 1348
Find the first derivative of -35750*g - 561 wrt g.
-35750
What is the third derivative of 484910*v**3 - 916*v**2 + v - 139 wrt v?
2909460
What is the second derivative of 99885*y**2 + 3139577*y - 2?
199770
What is the third derivative of -4*c*d**3*k - 2*c*d**2*k + 18*c*k + 498*d**3*k - d*k wrt d?
-24*c*k + 2988*k
What is the first derivative of 2*x**4 - 14*x**2 + 216*x - 61048?
8*x**3 - 28*x + 216
What is the derivative of -4365064*s**4 + 3429148 wrt s?
-17460256*s**3
What is the second | {
"pile_set_name": "DM Mathematics"
} |
minator of l and -44/9.
9
Let j be (2 - -18)*(-24)/10. Let o be j/(-27) - (-6)/27. Let w = 10 - o. Calculate the least common multiple of w and 8.
8
Let y be 7/(-1)*(-1 + 2). Calculate the common denominator of 2/56*461 + 44/154 and (-2)/y - 2*4.
28
Suppose 4*i - 135 = -i. What is the least common multiple of i and 63?
189
Let s = 135/4 - 1049/28. What is the common denominator of s and -3/19?
133
Suppose 5*b = b + 68. Let j be -1 + 4 - (1 + 0). Suppose j*r + 1 - b = -3*d, 3*d = 3*r - 9. Calculate the least common multiple of 8 and d.
8
Let c(d) = d**3 - 12*d**2 + 11*d + 4. Let v be c(11). Suppose 0 = v*t - 4*w - 80, 2*t + t = -5*w + 28. What is the least common multiple of t and 20?
80
Let r = -112/11 - -973/88. Let i(n) = -1462*n**2 - n + 1. Let o be i(-2). Let v = 52678/9 + o. Calculate the common denominator of v and r.
72
Let z = 560 + -4547/8. What is the common denominator of 27/16 and z?
16
Let r(f) = 15*f**3 - f**2. Let h be r(1). Calculate the common denominator of (-65)/(-40)*(-14)/(-4) and 61/h - 1 - -1.
112
Let m = -40 - 30. Calculate the smallest common multiple of ((-96)/(-60))/((-4)/m) and 12.
84
What is the common denominator of -5/8 and 8/12 - (-145)/10?
24
Let a = -9 + 14. Let y = a - 4. Calculate the least common multiple of y and 9.
9
Let p be (-7371318)/660 - 1/5. Suppose n + 0*t + 11181 = -5*t, 33492 = -3*n + 2*t. Let q = n - p. Calculate the common denominator of 139/6 and q.
66
Let q = 130765/14 + -9336. What is the common denominator of q and 61/8?
56
Let u be ((-3068)/(-10))/(6/20). Let h = u - 67223/66. Calculate the common denominator of h and 101/2.
22
What is the common denominator of (-3 + 24/16)/(72/122) and -31/28?
168
Suppose 13 - 2 = f. What is the least common multiple of f and 27?
297
Suppose 0 = -z - 2*s + 22, z + 5*s = 2*s + 25. What is the least common multiple of z and 8?
16
Let t(s) = -3*s - 2. Let v be t(-2). Calculate the common denominator of -77/18 and ((-8)/v)/(8/30).
18
Suppose -3*p = 15 - 39. Calculate the lowest common multiple of 2 and p.
8
Let q = -7370 - -58881/8. Let i = 43 + -177. Calculate the common denominator of q and i/(-110) + (-4)/10.
88
Let b = -1/2081 - 20801/18729. Let a = 132 - 605. Let i = 1444/3 + a. Calculate the common denominator of b and i.
9
What is the common denominator of -25/3 and 1*-1 - (-1003)/(-34)?
6
Let s = 51 - 21. Calculate the least common multiple of s and 2.
30
Let l(z) = z**3 + 2. Let p be l(0). Suppose p*r + 0*r = -4. Find the common denominator of ((-63)/33)/((-3)/r) and -38/9.
99
What is the common denominator of -3 + (3 - (-51)/66) and 145/12?
132
Let x(z) be the third derivative of -z**4/8 - z**3/3 + 2*z**2. What is the smallest common multiple of 4 and x(-4)?
20
What is the common denominator of (-1)/(-4) + (-142)/(-56) and (978/(-72) - -6) + 2?
84
Let x = 8862 - 177337/20. What is the common denominator of x and 8/5?
20
Find the common denominator of 269/(-24) - (-2)/6 and -119/6.
24
Let a(g) = g**2 - 6 - 2*g**2 - 6*g + 0*g. Let o be 6 + 15/(-5) - 7. Calculate the least common multiple of a(o) and 2.
2
Let v = -910859/180380 - 3/9019. What is the common denominator of v and -85/2?
20
Let d(c) = 4*c - 1. Let y be d(2). Let q(u) = 2*u + 1. Let o be q(y). Suppose -3*a = -42 + o. What is the lowest common multiple of a and 8?
72
Let u(q) = 3*q. Calculate the lowest common multiple of u(2) and 10.
30
What is the common denominator of 3*1/(-48)*3 and ((-101)/4)/(-1 + 3)?
16
Let b(u) = -u**2 - 7*u - 6. Let i be b(-4). Let z = 8 - i. Calculate the smallest common multiple of 10 and z.
10
Suppose -5*f = -2*f - 48. Calculate the lowest common multiple of f and 52.
208
Let r = 424288490/58497 + 1/116994. Let w = r - 7237. Calculate the common denominator of w and 35/6.
6
Let l = 49/40 + -2549/840. What is the common denominator of l and -16/9?
63
Find the common denominator of (2/(-18))/((-34)/(-5559)) and -36/19.
114
Suppose 0 = -4*b + 5*g + 35, -21 = -2*b - 4*g + 3*g. Calculate the lowest common multiple of 38 and b.
190
Let b = 809/5 - 163. Let w = -11676/5 - -2344. Find the common denominator of b and w.
5
Let p(z) = -3*z**2 + 4. Let r be p(7). Suppose j = 4*j - 12. Calculate the smallest common multiple of j and r/(-55) - (-6)/(-10).
4
Let f(b) = -b + 5. Calculate the smallest common multiple of 2/(-7) - (-88)/14 and f(3).
6
Let l(o) = 6*o**2 - 3*o - 3. Let f be l(5). Suppose g = 5*g - f. Find the common denominator of g and 69/8.
8
Let b(y) = 2*y - 8*y + 1 + 3 + y**2. Let g be b(4). Find the common denominator of (-6)/40*(-130)/g and -131/6.
24
Suppose -2*f - 4*w = w - 3, -f - 2*w = -1. Let n = 1809/110 + -102/5. Calculate the common denominator of n and (f/(-2))/(12/76).
66
Suppose -2*k = -k - 2. Let s = 11 - k. What is the smallest common multiple of 4 and s?
36
Suppose 3*o + 2 = 14. Let m = -113357/22 - -5154. Find the common denominator of m and 1445/(-50) - o/(-10).
22
Let o be (1/1)/((-1)/(-5)). Let v(f) = f**3 - 4*f**2 - 2*f - 5. Suppose 2*k + 4 = 4*k + z, -4*z = 0. What is the smallest common multiple of v(o) and k?
10
Let j = -1756 + 10451/6. Let z = -516351 - -21685583/42. Let r = z + 77/3. Calculate the common denominator of r and j.
42
Let n = -2/3631 - 236011/7262. Find the common denominator of n and -89/16.
16
Let v(h) = -6*h**2 + h. Let q be v(3). What is the common denominator of q/(-21)*(-1 - -3) and 71/10?
70
Calculate the least common multiple of (-2)/(-14) + 110/14 and 20.
40
Suppose 0 = 4*h - 2*h - 12. Suppose -2*q = -h*q + 28. Let a = q + -2. What is the least common multiple of 2 and a?
10
Let w = -50679/8 + 6346. Find the common denominator of w and -89/16.
16
Let w = -93479/10 - -9359. Let g(z) = -721*z**2 - 2*z - 2. Let p be g(-2). Let m = p - -25978/9. Calculate the common denominator of w and m.
90
Find the common denominator of 2 + -1 - 51/(-30) and 8/(-12)*-3 + 114/4.
10
Suppose 0 = d - 5*w + 5, -w + 1 = -2. Suppose -f = 5*t - 103, 4*t - 85 = -t + 5*f. What is the least common multiple of d and (56/t)/((-2)/(-10))?
70
Suppose -4*v - 5 = -13. What is the common denominator of 67/4 and (-11)/(-4) + v/4?
4
Let w = 11 + 0. Let u be 0 - 2 - 12/(-3). Suppose -m + u = m. Calculate the smallest common multiple of m and w.
11
Suppose -390 = 5*p - 3*g, 2*p + g = 5*p + 238. What is the common denominator of ((-10)/210)/((-2)/p) and -37/4?
28
Let u = 2 - 0. Calculate the least common multiple of u and 16.
16
Let i = -10086 + 272354/27. Calculate the common denominator of 47/3 and i.
27
Let r(c) = -c**3 - 6*c**2 + 1. Let j be r(-5). What is the common denominator of (2/j)/(5/790) and -149/6?
6
Let s = -548039/120571 - 1/10961. Let q = -44346361/63940 + 63483/92. Let y = -18/139 - q. What is the common denominator of s and y?
55
Suppose -3*s = 3*i - 30, 3*s - 8 = i + 18. Calculate the lowest common multiple of s and 9.
9
Let s = 57193376600775740309459/18165 - 3148548122638666799. Let c = -2584951389 - s. Let z = c - -5/2422. Calculate the common denominator of z and -95/18.
90
Let x = 9 - 6. Suppose x*j = -62 + 197. Find the common denominator of -79/18 and j/(-24) - (-1)/(-2).
72
Find the common denominator of 2/12 + (-1685)/300 and 99/8.
40
Let j be (2 - (-96)/(-9))*3. Let c = 36 + j. Suppose 0 = -4*r - 0*v + 3*v + 27, -v - 1 = 0. What is the lowest common multiple of c and r?
30
Let x(d) = 4*d**3 - 3*d**2 - 3*d. Let n be x(-3). Find the common denominator of 15/12*n/20 and -53/22.
88
Let b(v) = -2 - 3*v**2 - 2*v + 4*v**3 - 4*v**3 - 3*v**3 + 1. What is the least common multiple of 7 and b(-2)?
105
Suppose -3*g + 5 = -4. Suppose 3*m + 35 + 34 = -g*o, -4*m = -8. Let n = 41 + o. Calculate the smallest common multiple of n and 22.
176
Suppose 5*g + 24 = 74. Suppose -2*k = 6, o - 5*k = -4*k + 12. What is the smallest common multiple of g and o?
90
Calculate the common denominator of -89/8 and (-43)/((-605)/(-35) - (-2)/(-7)).
136
Let c = -133 + 148. Calculate the smallest common multiple of c and 27.
135
Suppose -13 = 4*v - 53. Let a be (1 - 1)*1 - 0. Let g = 6 + a. Calculate the smallest common multiple of g and v.
30
Let c(y) = -y**3 + 6*y**2 + 7*y + 2. Let w be c(7). What is the lowest common multiple of 14 and w/(-1 - (-12)/11)?
154
Let v = 9 - 1. Calculate the smallest common multiple of 8 and v.
8
Suppose -55381 = -5*m - 9986. S | {
"pile_set_name": "DM Mathematics"
} |
arest to g? (a) h (b) 2/13 (c) -2/5
a
Let r(f) = f**2 - 18*f + 37. Let q be r(16). Which is the closest to 0.2? (a) 1/6 (b) -2 (c) q
a
Let g(v) = v**3 + 4*v**2 - 5*v + 5. Let q be g(-5). What is the closest to -1/4 in 2, q, -4?
2
Let d be 1*(-10)/(-8)*16/(-12). Which is the nearest to 2.3? (a) d (b) -3/5 (c) -0.2
c
Let s = 7 - 11. What is the nearest to -1/4 in -0.3, -0.04, s?
-0.3
Let v be (-4)/12*4/6. What is the nearest to -7 in 1/6, v, -0.5?
-0.5
Let k = -4.2 + 2.9. Let h = k + 1. What is the closest to -1/2 in 0, h, -0.1?
h
Suppose -3*u - 2*p + 10 = 0, -u - p = -6*p + 25. Suppose 3*c + y - 1 = -u*y, 5*c - 3*y = 25. Let i = 13 - 18. What is the nearest to -0.2 in 3, i, c?
c
Suppose u + u = 2*m + 4, 5*m - 2 = -u. Which is the closest to 11? (a) -2 (b) u (c) -0.2
b
Let x = 1.79 + 0.21. Which is the closest to x? (a) -3 (b) -0.4 (c) -2/11
c
Let f = 33 + -32. Which is the nearest to 2/3? (a) -0.2 (b) f (c) -5
b
Let p(z) = 4*z**2 + 10*z + 8. Let x be p(-6). Suppose 4*o - x = -0*o. Let u be (-2)/3 + o/12. What is the closest to 2/5 in 1, u, 5?
1
Suppose 0 = 2*s + 10, 2*z = -4*s - 8 - 6. Let k = 7.3 - 7. Which is the closest to 0.1? (a) -5 (b) k (c) z
b
Let s = -63.9 + 58. Let d = s + 0.9. Let z = d + 2. Which is the nearest to -1? (a) -2/9 (b) 1/4 (c) z
a
Let q = 3 - 4. Let n = 2.7 + -3. Let v = 0.3 + n. Which is the closest to v? (a) q (b) -0.4 (c) 0.5
b
Let o = 0.2 + -13.2. Let k = -19 - o. Let y = k - -3. Which is the nearest to -1? (a) y (b) -2/5 (c) 3
b
Let n be (-4)/((-24)/(-10)) - (-2 + 1). Let h be 31/9 - (3 - 2). Let o = h - 35/18. Which is the closest to 0.1? (a) n (b) -2 (c) o
c
Let d = 6 - 10. Let o = -3 - d. Let t = -95/4 - -657/28. Which is the closest to o? (a) 3 (b) t (c) -4
b
Let v = 27 + -25. Let j(u) = -u + 1. Let z be j(1). What is the nearest to 0 in z, v, -3?
z
Let v = 2.06 - 0.06. Let m = -10 - -32. Let l = 111/5 - m. Which is the nearest to v? (a) 1 (b) l (c) 0.3
a
Let n(g) = -5*g - 7. Let z be n(-2). Which is the closest to 0? (a) 0 (b) 1/4 (c) z
a
Let m be ((-1)/(-7))/((-12)/14). Let d be (-7)/(-9) - (-3)/(-3). Which is the nearest to -1? (a) m (b) d (c) 1
b
Suppose 5*f = -11 + 1, 2*f = -5*t + 16. Let l = 0.6 + 0.4. Let n = -4 + -1. What is the closest to l in n, -1, t?
-1
Let i = -8/141 + 934/1551. Let k = 3.1 - -0.9. What is the closest to i in 2/13, -0.1, k?
2/13
Let d = 956.3 - 956. Let y = 0 + 0.2. What is the closest to y in -1/11, d, -2?
d
Let s = 3.8 + 1.2. Let z be (3 - (1 + -2)) + 0. Suppose -12 = z*r - r. Which is the nearest to -2? (a) s (b) 1/4 (c) r
c
Let t = -2 - -8. Let w = 10 - t. Let m = 4 - w. What is the nearest to -1/4 in -4, 5, m?
m
Let n be (-36)/(-8) - 3/6. Which is the closest to -2/5? (a) n (b) 8 (c) 5/3
c
Let m be -1 - -1 - (-3)/(-3). Let p be (m + 1)/(5 - 7). Which is the closest to -0.2? (a) -1/7 (b) 2/19 (c) p
a
Let l = 0.3 - -0.7. Suppose 4*g = -3*y + 31, 4*y + 3*g - 9 - 23 = 0. Suppose 5*s - 5*z = -25, y*s + 4*z + 0*z = 20. What is the nearest to l in 1/4, 0.1, s?
1/4
Suppose -58*h + 66 = -80*h. Let m = 0.1 + -0.3. What is the closest to m in h, -2, 1/6?
1/6
Let q = -0.13 + -4.87. Let s = 140 + -557/4. Let x = 4 + -4.1. Which is the closest to x? (a) 2/11 (b) s (c) q
a
Let u = -23.2 - -23. What is the nearest to 7 in 3, 2/9, u?
3
Let a = -11.6 - -10. Let p = a + 3.6. What is the nearest to p in -0.1, -3, 1/6?
1/6
Let m be 4/1208*4/1. Let k = -761/453 + m. Which is the nearest to 2/3? (a) 1 (b) k (c) 4
a
Let w = 5.4 + -5.1. Which is the closest to 5? (a) -2 (b) -1/6 (c) w
c
Let q be (-21)/4 + 1/4. Suppose 2*s - 7*s + 1 = -4*x, -s = 4*x + 19. Let v be 2 + s + 2 + 0. What is the closest to 1 in q, v, 1/4?
v
Let o = -39/187 - -2/17. Let q = -162 + 161.5. What is the closest to -2/7 in 1, q, o?
o
Let d = 6 + -11. Let i = 11 + -6. Let p = d + i. Which is the nearest to 0? (a) 2/11 (b) p (c) 5
b
Let s = -18640/39 + 478. Let z = s + -32/117. Let v = 4.258 + -0.258. What is the closest to -2/9 in z, -1, v?
z
Let g = 2.5 + -2. Let n = g - 0.4. Let j = -1.2 - -0.2. Which is the closest to n? (a) 4 (b) j (c) 2
b
Let h = -2.94 + -0.06. Let y = 3.1 + h. Let o be 2/7*(-6)/(-4). Which is the nearest to -1? (a) y (b) o (c) 2/11
a
Let g(q) = 3*q. Let p be g(1). Suppose -4*l + p*i + 17 = 0, -2*l + i - 5 = 4*i. What is the nearest to l in -0.4, 2/7, 2/5?
2/5
Let a = 1/78 + -23/273. What is the nearest to 0.1 in a, 1, 0?
0
Let n = -11 + 19. Let w = n + -13. Let o = 1 - 1. What is the closest to o in -4, w, 4/9?
4/9
Let k = -50.8 + 46.79. Let t = 0.01 + k. Which is the nearest to 1/3? (a) -1/4 (b) -3 (c) t
a
Let m = -10 + 9. Let r = -8.4 - -8. Which is the closest to r? (a) 0 (b) -0.3 (c) m
b
Let z = 18.9 - 22.9. Which is the closest to -0.1? (a) -2/3 (b) 11/5 (c) z
a
Let w be (-3)/(-1)*1/6. Let i = -52 + 51.7. Let m = 1 + -2/3. What is the closest to m in 2, w, i?
w
Let f = -2 - -6. What is the closest to 0.3 in 0.4, 0.1, f?
0.4
Let i = -24.1 + 24. What is the closest to -0.1 in i, 0.1, -3?
i
Let w = -482/5 + 96. Which is the closest to -1? (a) -5 (b) w (c) 0.5
b
Let l be (-3)/2*(-8)/6. Let v be (l + -1)/((-3)/6). Let a = 134/3 - 44. What is the closest to -1 in 1, a, v?
v
Let g = -7.06 + 7. Let p = g + -2.94. Let d be (1 - (-2 - -1))/13. What is the nearest to 0.1 in p, d, 4/7?
d
Let f = -28.1 - -28. What is the nearest to 1 in -0.4, f, -1/5?
f
Let z = 17 - 18. Let d = -0.7 - z. Which is the closest to -1? (a) 0.08 (b) d (c) -5
a
Let p = -0.64 + 0.54. Which is the closest to p? (a) 1/8 (b) -0.2 (c) 4
b
Let i = -1057/1958 + -1/178. Which is the closest to 1/3? (a) -2/19 (b) 22 (c) i
a
Let q(j) be the first derivative of j**2/2 + 2*j - 1. Let n be q(-3). Let i = 186 - 3908/21. What is the closest to n in -1/3, -0.1, i?
-1/3
Let m be 1*4/(-8)*-4. What is the nearest to -1/7 in -1/4, -1/5, m?
-1/5
Suppose -6*f = -5*v - 2*f - 9, 0 = 2*v + f + 1. Let t be (-2 + 0)/4*10. Let x be (2/12)/((-1)/(-2)). Which is the closest to v? (a) t (b) x (c) -4
b
Let y = 8.3 + -8. Let z = y - -2.7. Let p = -0.1 + -0.9. What is the nearest to -0.1 in p, -3, z?
p
Let y = 3 + -5. Let w be y/8 - (-13)/20. Let q = -12/11 + 25/33. Which is the closest to w? (a) q (b) -1 (c) 0
c
Let y = 44 - 41. Which is the closest to -1? (a) y (b) -1 (c) 0.1
b
Let q be 1/(-9)*1*(1 + 1). What is the nearest to -2/7 in -3/8, q, -0.3?
-0.3
Suppose 0*m - 4*m = -4. Let z(q) = q**2 - 6*q + 4. Let f be z(10). Let y be (9/f)/((-12)/(-32)). Which is the nearest to m? (a) 4 (b) -0.1 (c) y
c
Let l be -5 + 1 + 13/4. Which is the closest to l? (a) -5 (b) -4 (c) -0.5
c
Let n = 0.04 + -0.15. Let p = -2.89 + n. What is the closest to 2/3 in 3/4, p, 5?
3/4
Let o = -10 + 15. Let j = 3 - 2.1. Let z = -2.1 - j. Which is the nearest to -1/4? (a) z (b) o (c) 0.5
c
Let t = -0.4 - -0.9. Let s = 2 - 1.3. Let v = -0.6 + s. Which is the nearest to 0.1? (a) t (b) 5 (c) v
c
Suppose -5*q = -5*i + 7 - 32, 5*q = -4*i + 25. Let k = 0.02 - 3.02. Which is the closest to -1? (a) i (b) -4 (c) k
a
Let n be (-374)/110 - -4*1. What is the nearest to 19 in 3, n, 1?
3
Let d = 1.8 + -2. Let h = 3.6 - 5. Let p = 0.6 - h. Which is the closest to p? (a) -0.5 (b) d (c) 5/3
c
Suppose 0 = 4*z - 4*w + 10 - 2, -4*w = 3*z - 29. Suppose -4*f = -3*i, z*f + 0*i = 5*i. Let p = 3.5 - 4. Which is the closest to f? (a) 1/4 (b) 1/7 (c) p
b
Let o = -0.22 - -0.22. Which is the closest to -0.1? (a) o (b) 2/19 (c) -1
a
Let n = -3 - -4. Let r = -6.3 + 2.3. Let d = n + r. What is the closest to -1 in -0.4, d, -2?
-0.4
Let t(i) = -i**2 - 3*i. Let q be t(-4). Let h = 38.24 + -43.3. Let g = h + 0.06. Which is the closest to -1/2? (a) q (b) g (c) 2/7
c
Let q = 26 + -25. What is the nearest to 2/3 in -0.1, -3, q?
q
Let j be 9/(-30) + 32/40. What is the closest to 16 in -3, -4, j?
j
Suppose -2*n + 4*p + 15 = -n, 0 = p + 5. Let t = 4 + -3.7. Let y = t + 0.7. Which is the nearest to 1/3? (a) y (b) -2/19 (c) n
b
Let m = 3.07 + -0.07. Let w = 3.1 - m. Let q = -84 + 86. Which is the nearest to w? (a) q (b) -2 (c) -5
a
Suppose -2*b = -4*b + 4. Let z be (-4)/(-3) - 4/b. Let u = 4.3 - -0.7. What is the closest to z in 1, u, -3?
1
Let u(w) = -w + 2. Let m be u(4). Let z = 43.2 + -43. Suppose 0*y | {
"pile_set_name": "DM Mathematics"
} |
3*y - 74259*y**4 + 4*y**2 + 74261*y**4 to f*y**4 + d*y + n + c*y**3 + w*y**2 and give d.
-3
Rearrange -63*l**3 + 6*l**3 + 46*l**3 - 340*l + 9*l**3 to a*l**3 + s + h*l**2 + i*l and give s.
0
Rearrange (608*t + 6523 - 3263 - 3260 - 11124*t)*(-t - t**2 + t) to the form x*t + z*t**2 + j*t**3 + f and give j.
10516
Express (389 - 972 + 439)*(-2 + 1 + 0)*(0 - 1 + 0)*(3*g + g + 0*g) in the form l + m*g and give m.
-576
Express 13*z**2 - z**2 - 6*z**2 - 9*z**2 + 0*z**2 + 173 as u*z**2 + r*z + n and give u.
-3
Rearrange -45*l + 78*l - 115*l + 2 - 158*l - 15*l to the form j + r*l and give r.
-255
Express 0*d**2 - 141*d - 10*d**2 + 6*d**2 + 2*d**2 - 2*d**3 as a*d**3 + c*d + w + s*d**2 and give s.
-2
Express -1550*v**2 - 1 + 773*v**2 + 778*v**2 + 2*v**3 - 60*v**4 in the form x*v**4 + k*v**3 + r + a*v + l*v**2 and give l.
1
Rearrange -1126 + 378 + 377 + 371 + 257*m to k*m + d and give k.
257
Express (-121 - 419*p**2 + 121)*(2*p - 2*p - 4*p**2) as t*p**4 + y + g*p**3 + k*p**2 + i*p and give t.
1676
Rearrange 13*w + 56*w + 8*w + 1 - 21*w to a*w + f and give f.
1
Rearrange 99*n - 9*n**2 + 2 - 18 - 98*n + 20*n**2 to the form y + p*n**2 + t*n and give t.
1
Rearrange 5*y**2 - y**2 - 7*y**2 - 2*y + 8*y**2 + 2*y + (-2 + y + 2)*(4*y + 2*y - 4*y) to the form f*y + b + c*y**2 and give f.
0
Express -2*n - 44 - 2 + 5 + 0*n + 2*n - n + (0 + 0 + 2*n)*(0 - 1 - 1) - 2*n + 0*n + 4*n + (3 - 2 - 3)*(0*n + 0*n + n) in the form f + i*n and give i.
-5
Rearrange (4*h - 38*h + 0*h)*((-h + 2*h + 0*h)*(0 + 5 + 2) + 5*h - h - 2*h) to the form m*h**2 + l + r*h and give m.
-306
Express 2*c - 14*c + 4*c**2 + c as q + w*c + m*c**2 and give m.
4
Rearrange 4*s - 1 + 3*s**2 + 13*s**4 - 10*s + 4*s - 4 + 4 to the form u*s + f + r*s**4 + h*s**2 + l*s**3 and give h.
3
Express 25 + 870*h**2 + 5*h**3 - 37 - 870*h**2 + 16 as t*h**2 + b + f*h**3 + j*h and give b.
4
Express -53*w + 80*w - 22*w - 32 in the form k + l*w and give l.
5
Rearrange (0 + 0 + 1 - k)*((-2 - 22 - 10)*(-2*k + k - k) + (3*k - k - 3*k)*(-1 + 5 - 3) - 5*k + 2*k + k) to i*k + r + u*k**2 and give u.
-65
Express -l**2 + l**2 - 2*l**2 + (-l + 5*l - l)*(33 - 28 + 12)*(l - 3*l + 4*l) in the form x*l + g + i*l**2 and give i.
100
Express 4*f**3 + 2 - 1566*f**4 - 5*f + 3133*f**4 + f - 1564*f**4 as o*f**3 + h*f**2 + s*f**4 + a + u*f and give a.
2
Rearrange 1 - 1160*r + 53*r**4 + 2*r**2 - 2*r**3 + 576*r + 583*r to y*r + u*r**4 + f + g*r**3 + k*r**2 and give u.
53
Express (-v**3 + 0*v**3 - 2*v**3)*(v - 4*v - 5*v)*(-1 + 5 + 3) in the form f*v + m*v**2 + n*v**4 + p + y*v**3 and give n.
168
Rearrange 15319 + 3*y - 2*y - 15319 - 2*y**2 + 59*y**4 to the form m + i*y**4 + r*y**3 + p*y**2 + b*y and give b.
1
Express (4*n**2 + 2*n**3 - 4*n**2)*(-1475 - 1480 - 70 - 667 + 843) in the form r*n**3 + y*n + o*n**2 + m and give y.
0
Rearrange 8 - 5*v + 140*v**2 + 0*v**4 - 142*v**2 - 2*v**4 - v**3 to the form i*v**3 + o*v**2 + c*v**4 + z*v + k and give c.
-2
Express 217*l**2 - 31*l**2 + 120*l**2 - 37*l**2 + 31*l**2 as f*l + h*l**2 + u and give h.
300
Rearrange -3*u + 3*u**3 + 50 - 5*u - 2*u**3 - 56 + 5*u to the form d*u + n + s*u**3 + z*u**2 and give d.
-3
Express 11*a - 15*a + a - 12*a**3 as m*a**2 + v + b*a + n*a**3 and give b.
-3
Express (241 - 479 + 476*c + 238)*(4*c**2 - c**2 + 2*c**2 + (6*c**2 - 3*c**2 - c**2)*(3 + 1 - 5)) in the form n*c**3 + u + h*c**2 + v*c and give n.
1428
Express -13*n + 77*n + 40*n in the form p*n + w and give p.
104
Express 3 - 6 + 2 + 0 + 3 + 32*f as m*f + l and give l.
2
Rearrange -180*k + 3 - 3 - 144*k to v + j*k and give j.
-324
Express (-3 + 2*h + 3)*(4*h - 4*h + 5*h) + (h + 4*h - 2*h)*(h - h + h) as z + w*h + x*h**2 and give x.
13
Express (29 + 21 + 21*w + 1 + 7)*(-6 + 1 + 3) as t + p*w and give p.
-42
Rearrange -15 - 3*s**4 + 2*s - 28 + 17*s**3 + 43 + 4*s**4 to w + z*s**3 + p*s**4 + y*s**2 + v*s and give z.
17
Rearrange 3*a**2 + 4 - 3 + 1 - a**3 + 5*a**2 - 2*a**4 to u*a**4 + k + z*a**3 + c*a**2 + b*a and give k.
2
Rearrange -1 + 2*v**3 + 0*v**3 + 6 + (-2*v + 3 - 3)*(169*v - 169*v - 14*v**2) + v**3 + 0*v**3 + 2*v**3 to the form i + b*v**2 + k*v**3 + u*v and give k.
33
Rearrange -19*o**3 + 4 + 0 + 42*o**3 + 5*o**2 - 2*o**4 - 12*o**3 - 12*o**3 to the form k*o**2 + u + d*o + h*o**4 + x*o**3 and give x.
-1
Express -10*g - 196*g**2 + 194*g**2 + 149*g in the form t + b*g**2 + c*g and give c.
139
Express -199*w**2 + 2*w**4 + 99*w**2 - 20*w**3 + 2*w + 0*w**4 + 98*w**2 as c*w**4 + n + i*w**2 + f*w + z*w**3 and give i.
-2
Express -28*w**4 + 1 - 6*w**2 - 5*w**4 - 7*w + 32*w**4 as d*w**2 + o + s*w**4 + l*w**3 + x*w and give x.
-7
Express -88*v**3 + 50*v**3 + 49*v**3 + v in the form y*v + x + o*v**2 + l*v**3 and give y.
1
Express 3843*p - 3843*p - 124*p**2 in the form h*p + q*p**2 + s and give q.
-124
Rearrange 387938 - 3*p - 387875 - p to k*p + m and give m.
63
Express -3*x**4 + 1220 - 2*x**2 - 1222 - 2*x - 2*x**2 in the form j*x**2 + a*x + s*x**4 + p*x**3 + c and give j.
-4
Express g**2 + 16*g + 5*g**4 - 4 - 32*g**3 - 4*g**4 + 32*g**3 as u*g**3 + p*g**2 + w + z*g + l*g**4 and give p.
1
Rearrange -s**3 + s**2 - 2 - 5*s - 2 + 6 + 3*s to i + t*s**3 + n*s + f*s**2 and give t.
-1
Rearrange 1 - 251*c + 2 - 67*c to the form q*c + i and give i.
3
Rearrange (-162*u + 200*u - 98*u + 3*u**3)*(3 - 4 + 3) to n*u**3 + l*u**2 + p + t*u and give t.
-120
Express (5*r**3 - 3*r - 7*r + 16*r)*((-4*r + 0 + 0)*(6 - 3 - 4) - r + 5*r - 6*r) in the form n*r**2 + h*r**3 + f*r + t*r**4 + u and give n.
12
Express (-2*c**4 - c**4 + 4*c**4)*(0 + 2 + 0 + (1 - 3 + 0)*(-6 + 4 + 0) + 0 + 4 + 4) in the form k*c + t*c**3 + h*c**4 + f*c**2 + j and give h.
14
Express -8*p**3 - 15*p**3 + 4 - 3*p**4 + 10*p**3 as m*p**3 + a*p**4 + s + y*p**2 + o*p and give m.
-13
Rearrange (-26*a - 1 + 13*a - 29*a)*(-a + 18*a - 2*a) to o*a + c + x*a**2 and give o.
-15
Express 278 + 2*n**2 - 62*n**2 + 3*n**3 - 276 + 2*n**2 as s*n**3 + u*n + w*n**2 + t and give s.
3
Rearrange -11*z + 34 + 39 + 18 - 67 - 3*z to the form l*z + p and give l.
-14
Express 67*v + 187*v + 172*v - 103*v as s*v + h and give s.
323
Express 9 + 10*l**2 - 9 - 62*l**2 in the form v + y*l + h*l**2 and give h.
-52
Express (3 - 4*p + 2*p - p)*(-48 - 43 - 78 - 20) as l*p + j and give j.
-567
Rearrange x**4 + x**2 - 4 - 13 - 2*x**4 + x + 3*x to g*x + t*x**3 + w*x**2 + s + p*x**4 and give w.
1
Express 19 - 12 - 71*x - 7 - 676*x in the form z*x + q and give z.
-747
Rearrange -434740*j**2 + 241*j**3 + 2*j + 510*j**3 + 434740*j**2 to the form n*j**2 + u*j**3 + w*j + r and give w.
2
Express -19*l - 17*l + 44*l + l**2 - 22 - 9*l as x + r*l + h*l**2 and give r.
-1
Express (-31*l**3 + 1 + 1 - 3 + (-l**2 + 0*l**2 - l**2)*(-2 + 2 - 2*l))*(27 - 59 + 29) in the form x*l + r*l**3 + g*l**2 + o and give o.
3
Express 4 + v - 2 + 2*v**2 - 5 - 7*v**3 - 2*v**4 + 2*v**3 as t*v**2 + l*v**4 + y*v + s*v**3 + k and give s.
-5
Rearrange -96*f - 90*f - 64 - 2*f**3 + 182*f to t*f**3 + a + p*f**2 + i*f and give t.
-2
Express -19*m**3 + 66 + 62*m**3 - 82 in the form g*m + x*m**2 + i + w*m**3 and give i.
-16
Rearrange (-856*t + 1759*t - 176*t)*(-3*t**2 - 4*t**3 - 2 + 2*t**2 + 2*t**3) to f*t**4 + y*t**3 + z*t + k + n*t**2 and give z.
-1454
Express -596*n + 24 + 25 + 574*n as w*n + s and give w.
-22
Rearrange -4*v - 3 - 24 - 564*v**2 + 565*v**2 to p + f*v + z*v**2 and give p.
-27
Rearrange 2*d**4 + 0*d - 10*d**3 + 11*d**3 - 7*d to r*d**4 + n + m*d**2 + y*d**3 + a*d and give r.
2
Rearrange m**2 + 20*m**3 - 3*m - 55*m**3 + 34*m**3 to the form l*m**2 + f*m**3 + u*m + b and give f.
-1
Express 7 - 33 + 19 + 7 + 556*m**2 as v + a*m + f*m**2 and give f.
556
Express 18653 - 18653 + 48*k**2 + k in the form g + c*k**2 + j*k and give c.
48
Express -13*x - 2 + 10*x + 13*x + x in the form h*x + a and give a.
-2
Express (3 + 7 - 4)*(-2*q + q + 8 - 7)*(1 - 5 + 2)*(3 - 3 + 2) as z*q + a and give z.
24
Rearrange -19 - 101*j - 10 + 106*j to k + l*j and give k.
-29
Rearrange 0*h**4 + 0*h - 124*h**2 + 130*h**2 - h**4 + 2*h**3 - 3*h + 4 to n*h + i*h**2 + b + g*h**4 + s*h**3 and give g.
-1
Rearrange 9 + 2*b + 0 + 11 + 4 - 6*b to the form g + k*b and give k.
-4
Rearrange 15*x - 2*x**2 + 24*x - 76*x to the form y*x**2 + v + z*x and give v.
0
Express 3*o**2 - 12*o**2 + 74*o + 10*o**2 as v + p*o**2 + i*o and give i.
74
Express 42*n**3 - n**4 - 2*n**2 + 2*n - 65*n**3 + 29*n**3 as | {
"pile_set_name": "DM Mathematics"
} |
2
Divide -1694772 by 47077.
-36
What is -492975 divided by -23475?
21
Calculate 439 divided by 4.
439/4
Divide -9107706 by 6.
-1517951
-182045 divided by -36409
5
Calculate -58353678 divided by -6.
9725613
Divide -640334 by 2.
-320167
Calculate 32996 divided by 2.
16498
What is -71036 divided by 17759?
-4
What is 69 divided by -13332?
-23/4444
-35 divided by 37
-35/37
-32655 divided by 10885
-3
Divide -246948 by 156.
-1583
What is -113 divided by 250?
-113/250
Divide 376174 by 254.
1481
What is -82250 divided by 3290?
-25
Calculate 59 divided by 2254.
59/2254
What is 181012 divided by 4?
45253
Calculate 60609 divided by -267.
-227
Divide 32310 by -1795.
-18
Calculate 2913822 divided by -3.
-971274
Divide -23 by -480.
23/480
Calculate 14079 divided by -77.
-14079/77
Calculate 212868 divided by 9.
23652
-7 divided by -32579
7/32579
What is -130219 divided by -5?
130219/5
Divide 159620 by 3.
159620/3
Calculate -4 divided by -723.
4/723
222631 divided by 1
222631
Calculate -867240 divided by 4818.
-180
Calculate 396657 divided by -4.
-396657/4
-1113 divided by -19
1113/19
Divide 43686 by -6.
-7281
What is 1133030 divided by -29?
-39070
What is -10323540 divided by -6?
1720590
What is -7424 divided by -7?
7424/7
What is -68850 divided by -6?
11475
What is -557504 divided by 557504?
-1
5013 divided by 18
557/2
95 divided by 1009
95/1009
Calculate 1 divided by 194909.
1/194909
11718 divided by -8
-5859/4
What is -1313174 divided by 4?
-656587/2
Divide 4 by 117308.
1/29327
Divide 191184 by -2.
-95592
Calculate -267630 divided by -2433.
110
Calculate 1 divided by -16679.
-1/16679
Calculate 0 divided by -9193.
0
What is 4188 divided by 6?
698
What is 0 divided by -103287?
0
Calculate -30864 divided by 6.
-5144
-35805 divided by -231
155
Divide -2182110 by 6.
-363685
What is 3541 divided by 3541?
1
Calculate 175875 divided by 7.
25125
What is 6440 divided by -9?
-6440/9
5 divided by -36095
-1/7219
What is 592330 divided by -2?
-296165
What is -44 divided by -22?
2
Calculate 4752 divided by -5.
-4752/5
1179923 divided by 19343
61
Divide -11335 by 6.
-11335/6
What is -5475 divided by 19?
-5475/19
Divide 99512 by -7.
-14216
What is 16948 divided by 76?
223
-8 divided by 42389
-8/42389
Divide -1132 by -193.
1132/193
What is 53669 divided by 1309?
41
55972 divided by -14
-3998
Calculate -580 divided by 99.
-580/99
Calculate -625516 divided by 156379.
-4
-939 divided by 167
-939/167
21280 divided by 560
38
Divide -425 by -9364.
425/9364
-61 divided by 23038
-61/23038
Calculate -23711 divided by 19.
-23711/19
-2721390 divided by -5
544278
Calculate 496 divided by 40.
62/5
Calculate 132760 divided by -26552.
-5
Divide 746692 by -186673.
-4
What is -2 divided by 65543?
-2/65543
Calculate 2 divided by -67047.
-2/67047
Divide 3 by 42283.
3/42283
Divide 342000 by -285.
-1200
What is 6071004 divided by 3?
2023668
What is 18 divided by -13377?
-6/4459
What is -763692 divided by 138?
-5534
What is -891 divided by 891?
-1
Calculate -1 divided by -356912.
1/356912
Calculate -19 divided by 12484.
-19/12484
Calculate -217936 divided by 27242.
-8
Calculate 623853 divided by -3.
-207951
-36014 divided by 2
-18007
Divide 5 by -20989.
-5/20989
What is 486420 divided by -24321?
-20
22464 divided by 2808
8
19044 divided by 207
92
Divide 48546 by 5.
48546/5
Divide 28103 by -28103.
-1
Divide -536760 by 210.
-2556
Divide -1 by 84800.
-1/84800
What is 379796 divided by -2?
-189898
Calculate 67 divided by 9846.
67/9846
Calculate -16137 divided by -9.
1793
Calculate -1143 divided by 92.
-1143/92
Calculate 404723 divided by -1.
-404723
Divide 296394 by -6.
-49399
455760 divided by -5697
-80
2270829 divided by 3
756943
-184096 divided by -4
46024
What is 48 divided by -12349?
-48/12349
-843709 divided by 23
-36683
Calculate 115 divided by 44627.
115/44627
Calculate 1086915 divided by 217383.
5
-79596 divided by -1206
66
Divide 8108 by 14.
4054/7
What is -220194 divided by -2823?
78
What is -3162068 divided by -13?
243236
Calculate -5914 divided by 2957.
-2
What is 9648 divided by 1206?
8
-116610 divided by -69
1690
What is -544 divided by -121?
544/121
Divide -38120 by -2.
19060
-396000 divided by -15840
25
Calculate 23184 divided by 11592.
2
Divide -17 by 2729.
-17/2729
What is -5 divided by 4287?
-5/4287
-5566248 divided by 695781
-8
What is 0 divided by -14700?
0
Divide 0 by -200054.
0
Divide 250 by -1681.
-250/1681
31 divided by 17511
31/17511
What is -269 divided by 131?
-269/131
-2612385 divided by -58053
45
70 divided by 1543
70/1543
Divide 91936 by 416.
221
1025946 divided by -341982
-3
Calculate 5946690 divided by 5.
1189338
What is 20970 divided by 6990?
3
Divide 29988 by -6.
-4998
What is 17238 divided by 6?
2873
Divide -5133 by -87.
59
What is 3 divided by -82052?
-3/82052
Divide 45684 by 1.
45684
Calculate -48458756 divided by 4.
-12114689
What is 3358 divided by 24?
1679/12
Calculate 49328 divided by 12332.
4
25179 divided by 33
763
Divide -4371 by 1.
-4371
Divide -35 by -1857.
35/1857
What is -5123 divided by -48?
5123/48
-85097 divided by -15
85097/15
Divide 83844 by 4658.
18
714278 divided by -4
-357139/2
Divide 370425 by 3.
123475
Calculate 119730 divided by 15.
7982
What is 54796 divided by -35?
-7828/5
Divide 428420 by 124.
3455
What is 178881 divided by -3?
-59627
What is 510498 divided by -474?
-1077
What is -21 divided by -1114?
21/1114
What is -232024 divided by 13?
-17848
-179940 divided by 5
-35988
Divide 69432 by -17.
-69432/17
3 divided by -24034
-3/24034
What is -45 divided by 1467?
-5/163
What is -768235 divided by 65?
-11819
Divide -3828480 by -11964.
320
Divide 192375 by 5.
38475
What is 527620 divided by 22940?
23
What is -318712 divided by 4?
-79678
What is -4 divided by 295249?
-4/295249
Calculate 2 divided by 17981.
2/17981
Divide 64746 by 6.
10791
Calculate -2 divided by 149232.
-1/74616
What is 7805 divided by -168?
-1115/24
What is -12 divided by -37353?
4/12451
What is 0 divided by 74275?
0
What is 399441 divided by -3?
-133147
What is 1722494 divided by 86?
20029
142 divided by 2623
142/2623
What is 33990 divided by -9?
-11330/3
Calculate -3531 divided by -20.
3531/20
What is 413 divided by 44?
413/44
Calculate -1058265 divided by 5427.
-195
What is 205120 divided by 3205?
64
Calculate -414 divided by 104.
-207/52
-17087 divided by 17
-17087/17
What is -190494 divided by 6?
-31749
Calculate -111424 divided by -2.
55712
What is 145994 divided by 72997?
2
What is -79842 divided by 6?
-13307
Calculate -1502 divided by -15.
1502/15
What is -3 divided by -37633?
3/37633
What is 1799413 divided by 163583?
11
Calculate 20105 divided by 3.
20105/3
0 divided by 18866
0
Calculate -13810 divided by -6.
6905/3
What is -401108 divided by 100277?
-4
2 divided by 27394
1/13697
Calculate 4067186 divided by 6.
2033593/3
Divide 79112 by -116.
-682
743310 divided by -13765
-54
Divide 227 by -206.
-227/206
Calculate -33400 divided by 334.
-100
Divide -108 by -28208.
27/7052
Calculate -485 divided by 2573.
-485/2573
160780 divided by -32156
-5
105788 divided by 26447
4
Divide 3683271 by -72221.
-51
Calculate 5204 divided by -4.
-1301
What is -515768 divided by -257884?
2
Calculate 60 divided by -36784.
-15/9196
Calculate -9925 divided by 1985.
-5
Divide -11850 by 3.
-3950
17 divided by -175
-17/175
-332 divided by 218
-166/109
Divide -17035 by -17035.
1
Calculate 21288 divided by 1774.
12
What is 5 divided by -1500059?
-5/1500059
Calculate -1230 divided by 109.
-1230/109
Calculate -18 divided by -89462.
9/44731
Divide 2684 by 244.
11
Divide 108018 by -2.
-54009
What is -6041 divided by -6041?
1
Divide -16 by -39300.
4/9825
What is 4 divided by -17541?
-4/17541
What is 739044 divided by 3?
246348
11 divided by 68
11/68
Calculate 279943 divided by 1.
279943
30 divided by 690
1/23
Divide -539 by 20.
-539/20
Divide -54846 by 18282.
-3
Divide -1758 by -82.
879/41
41824 divided by -8
-5228
Calculate -700 divided by 11.
-700/11
-1 divided by 62852
-1/62852
What is -29 divided by -129?
29/129
Divide 2 by -76626.
-1/38313
Divide 560540 by -4.
-140135
Calculate 2633 divided by 8.
2633/8
What is 108358 divided by 3187?
34
-1510208 divided by 53936
-28
Calculate -3 divided by -11074.
3/11074
-15991 divided by 15991
-1
Calculate -9 divided by -1258.
9/1258
Calculate 21 divid | {
"pile_set_name": "DM Mathematics"
} |
s be k(-11). Let o be x(s). What is the units digit of (-4 + 2)*2*o?
4
Suppose -8*x - 1332 = -4*p - 4*x, p - 309 = -5*x. What is the hundreds digit of p?
3
Suppose -42 = -8*n + 6. Suppose 5*f - n*f + 5 = 0. What is the units digit of f?
5
Let x be 0 + 2182/(-7) + 2/(-7). Let s = x + 501. What is the hundreds digit of s?
1
Let u = 19 - 35. Let z = 57 + u. What is the units digit of z?
1
Let m be 30/(-20)*8/(-3). Let f be 6/m*(-4)/3. Let b(p) = 14*p**2 + 2*p + 3. What is the tens digit of b(f)?
5
Let x(h) = h**3 + 6*h**2 + 6*h + 1. Let y be x(-4). Suppose -4*g + 44 = 2*w + 2, -g - w + 13 = 0. Let m = g + y. What is the units digit of m?
7
Suppose -4*k + 15 = -1. Suppose -4*i = 5*s - 414, 5*i - 562 = k*s - 24. What is the hundreds digit of i?
1
Let k = 173 - 132. What is the tens digit of k?
4
Let c(w) be the first derivative of w**4/4 - 3*w**3 - 9*w**2/2 - 9*w - 11. What is the units digit of c(10)?
1
Let w(g) = 15*g**2 + 7*g**2 - g + 11*g**2 - g. Let f be w(2). Suppose -3*t - r + 97 = 0, -3*t + r = -7*t + f. What is the tens digit of t?
3
Suppose 0 = -5*r - 56 + 176. Let f = r + -6. Let x = f - 15. What is the units digit of x?
3
Let q = -4 + 84. Let r = q - 24. What is the tens digit of r?
5
Suppose 5*v + 3196 = 4*b + 9*v, b - 3*v - 803 = 0. Suppose -13*t + b = -3*t. What is the units digit of t?
0
Suppose 0*w + 7 = -5*w - 3*a, 3*w + 3*a + 3 = 0. Let s be w/(-15) + (-6942)/90. Let q = -22 - s. What is the units digit of q?
5
Let r = -12 + 127. Suppose -2*l + 267 = 3*b, r = 4*b - 5*l - 241. What is the tens digit of b?
8
Suppose -11 = 2*r - 3. What is the tens digit of (r/(-26) - 9/(-26))*204?
0
Suppose v - 5 - 10 = -2*h, 2*v + 15 = 5*h. Suppose -22 = -q + 6*x - 2*x, 2*x = -v*q + 132. Suppose q*d - 192 = 22*d. What is the tens digit of d?
4
Suppose -4*x = 0, -2*s + 7 - 3 = -x. Suppose 0 = -5*o + 2*o - 3*c, -6 = s*o - 4*c. What is the units digit of 4 + o - (3 + -38)?
8
Suppose 2*i + 32 = -5*x + 12, i = -2*x - 8. Let t be 140/(-105)*(0 - (-3)/(-2)). Suppose -t*w + 0*w + 30 = i. What is the units digit of w?
5
Let a = 36 - 14. Suppose -2*y + 3*y = a. Suppose 4*f = 5*v - 99, f + 4 = -v + y. What is the tens digit of v?
1
Suppose 2*b = 5*d - 19392, 14*d + 15515 = 18*d - 3*b. What is the thousands digit of d?
3
Let b = 1135 + -557. What is the tens digit of b?
7
Suppose -1716 = 5*f - 6886. What is the tens digit of f?
3
Let r = -33 - -35. Suppose r*i - 136 = -2. What is the units digit of i?
7
Suppose 0 = -11*p - 11*p + 22770. What is the tens digit of p?
3
Let d = 134 + -120. Let r(n) = -n**3 + 6*n**2 - 3*n + 3. Let x be r(3). Let a = x - d. What is the units digit of a?
7
Let r be ((-16)/6)/(-2)*57/38. Suppose -5*i + 48 = -s + r*s, 3*s = 2*i + 178. What is the units digit of s?
8
Let f(j) = -1248*j + 39. What is the units digit of f(-1)?
7
Let r(i) = i**3 + 15*i**2 + 11*i - 15. Let q be r(-14). Suppose 2*j - 373 = q. What is the hundreds digit of j?
2
Suppose 4*m = 5*x + 516, 3*m - 463 = -2*x - 53. What is the units digit of m?
4
Let p = 6034 + -3212. What is the hundreds digit of p?
8
Suppose -5*u - 4*l = -374, -3*u - 3*l = 2*u - 378. Suppose 4*w - 186 = -2*z, 9*w - 4*w = -z + u. What is the units digit of z?
3
Let l(u) be the third derivative of -23*u**6/360 - u**5/60 - u**4/3 - 3*u**2. Let n(v) be the second derivative of l(v). What is the units digit of n(-1)?
4
Suppose s = k - 3*k - 6, 0 = -2*k - 10. What is the units digit of 1152/52 - s/26?
2
Let p(k) = k**3 + 23*k**2 + 24*k + 27. What is the units digit of p(-11)?
5
Suppose 0 = 4*i - 5*f - 13, f = -4*i + 25 + 6. Suppose -q - i + 16 = 0. What is the units digit of 129/q - (-6)/(-18)?
4
Let a(i) = 9*i**3 + 4*i**2 + 2*i - 5. What is the tens digit of a(4)?
4
Suppose -2*f = -5*a - 3331, -f + 11*a + 1667 = 8*a. What is the hundreds digit of f?
6
Suppose 2*s - 286 = 5*t, 2 = 3*s - 7. Let n = t + 38. Let x = -8 - n. What is the units digit of x?
0
Suppose 2*o - 15 = -o. Suppose s + o = 3. Let w(v) = v**2 - v - 1. What is the units digit of w(s)?
5
Suppose -3*p = -2*d + 4*d + 125, d + p + 62 = 0. What is the units digit of 1 - (-2)/1 - 0 - d?
4
Let a = 11 + 26. Let h = 62 + -44. Suppose -h = -5*j + a. What is the tens digit of j?
1
Let f be -21 - (-3 + 1 + -1). Let a be (-1)/2*(18 - f). What is the units digit of (0 - a)*(-4)/(-1)?
2
Suppose 130 = -b - b. Let c be b*(36/(-10) + 4). What is the units digit of (-4)/(-30) + c/(-30)?
1
Suppose -c + 1943 = 4*c + 3*o, 5*c - 1942 = -2*o. What is the tens digit of c?
8
Let j(n) = 22*n**2 - 39*n - 20. What is the hundreds digit of j(-7)?
3
Suppose 0 = -6*r + 2835 - 507. Suppose 4*l - r = -4*t, 3*t = 5*t - 5*l - 208. What is the units digit of t?
9
Let w be ((-2)/(-3) - 0)*27. Let y = 288 + w. What is the units digit of y?
6
Let q = 394 - 184. Suppose -5*l = q - 1325. What is the tens digit of l?
2
Let l(f) = -f**2 + 45. Let q be l(0). Let k(d) = d - 23. Let z be k(9). Let u = z + q. What is the tens digit of u?
3
Let w = 4494 - 1889. What is the tens digit of w?
0
Suppose -2*l = 24 - 8. Let r = -4 - l. What is the units digit of r?
4
Let n(k) = 2*k - 5. Let t be n(1). Let m(g) = -5*g - 4*g**2 - g**3 + 2*g**2 + g**2 - 2. What is the tens digit of m(t)?
3
Suppose 3*t - 2*n = 1747, 2*n = 2*t - 106 - 1056. What is the units digit of t?
5
Suppose 28*o - 2*o - 36816 = 0. What is the thousands digit of o?
1
Let p = -109 - -115. What is the hundreds digit of -4 + 10/p*69?
1
Suppose t - 23 = -3*j, 2*t = 4*j - 2*t - 52. Let z(g) = 9*g + 14. What is the units digit of z(j)?
5
Let c(u) = 2*u**2 - 57*u + 404. What is the thousands digit of c(37)?
1
Suppose -1 = -2*z - 2*t + 13, 0 = -z + 5*t - 23. Let h(x) = x**2 - 4*x + 4. Let v be h(z). Suppose v*q + 28 = q. What is the units digit of q?
8
Let p = 1209 - 847. What is the units digit of p?
2
Let u be 2 - 11/6 - 85/(-30). What is the hundreds digit of (0 + -1)/(u/912*-2)?
1
Let x(p) = p**2 - 16*p + 304. What is the thousands digit of x(42)?
1
Let r be -6 + (-1)/1*4. Let w be (-736)/(-9) + r/(-45). Let g = -49 + w. What is the units digit of g?
3
Let f = -2 - -2. Suppose -2*u + 98 + 4 = f. What is the tens digit of u?
5
What is the hundreds digit of (-7 - (-55)/10)/((-3)/776)?
3
Let c(x) = -x**3 + 21*x**2 + 3*x - 30. Suppose 0 = 19*i - 13 - 386. What is the units digit of c(i)?
3
Suppose 0 = 166*d - 161*d - 6220. What is the hundreds digit of d?
2
Let q be 1016/10 - 8/(-20). Let z = q + -54. What is the units digit of z?
8
Suppose 2*k - 7*k + 10 = 0. Suppose k*t - 4*t + 18 = 3*q, 3*t = 9. What is the units digit of q/(-6)*174/(-4)?
9
Suppose 3*v - 2*v - 1867 = b, -5*b = 15. What is the thousands digit of v?
1
Let p be (36/(-16))/((-1)/4). Suppose -4*n + p*n = 675. Suppose -2*b - 3*r - 13 = -67, -5*b = 4*r - n. What is the units digit of b?
7
Let q = 11 - 6. Suppose 17*l = 5*t + 22*l - 10, 4*t + 3*l = 13. Suppose t + 58 = q*x. What is the units digit of x?
3
Let r(z) = -61*z - 50. What is the units digit of r(-9)?
9
Let a(o) = -o**3 + o**2 + 1. Let f(t) = -5*t**3 + 16*t**2 - 3*t + 16. Let d(m) = 6*a(m) - f(m). What is the units digit of d(-11)?
8
Suppose -5*m - 652 + 3442 = -3*z, -z = -m + 556. What is the hundreds digit of m?
5
Let s(y) = -123*y + 33. What is the units digit of s(-2)?
9
What is the thousands digit of 82*26 - (69 - 74)?
2
Let t be -25*(-4)/30*102. Suppose 0 = -2*j - 2*j + t. Suppose -3*s - 2*y = -48, s - 5*y = 6*s - j. What is the units digit of s?
4
Let a be (-2 - -1)/3*-111. Let x = 371 - 370. Let f = x + a. What is the tens digit of f?
3
What is the tens digit of (-4 - -5)/((-2)/(-262))?
3
Let l = 48 - 46. Suppose -3*c - h = -6*h - 46, l*h = c - 17. What is the units digit of c?
7
What is the tens digit of 18981/9 + -2 + 6?
1
Let g = 100 - -715. What is the tens digit of g?
1
Let b(n) = -3*n - 6. Let w be b(-3). Suppose -4*u = -w*d - 36, 0 = 4*u + 5*d - 23 - 45. What is the units digit of u?
2
What is the units digit of 256/192*10866/16*4?
2
Let i = 163 + -262. Let j = 184 + i. Suppose b = -4*b + j. What is the tens digit of b?
1
Let y = -34 - -39. What is the tens digit of 12/y*(-190)/(-4)?
1
Suppose 3*m + m = -16. Let a(b) = b**2 + 1. Let v be a(m). Suppose 24 = r - v. What is the tens digit of r?
4
Let a(b) = 10*b**2 + 11*b + 9. What is the tens digit of a(10)?
1
Suppose 190 = -6*l + 11*l. Sup | {
"pile_set_name": "DM Mathematics"
} |
m {z: 6, x: 4, i: 5, b: 1, v: 1, g: 3}.
1/456
Two letters picked without replacement from {p: 10, t: 2}. What is prob of sequence pt?
5/33
Two letters picked without replacement from {z: 2, l: 16}. What is prob of sequence zz?
1/153
What is prob of sequence ay when two letters picked without replacement from {x: 2, s: 1, a: 1, y: 1, v: 1, p: 1}?
1/42
Calculate prob of sequence bzcb when four letters picked without replacement from zmcccbbcs.
1/378
Four letters picked without replacement from {r: 3, i: 2, e: 5}. What is prob of sequence irri?
1/420
Calculate prob of sequence kvkj when four letters picked without replacement from jkkkkkkkkkkkkkvkkk.
1/306
Calculate prob of sequence omk when three letters picked without replacement from kykeeeekmeyokkkkyoee.
7/3420
Four letters picked without replacement from {p: 5, k: 11}. What is prob of sequence pppk?
11/728
Three letters picked without replacement from {t: 3, d: 1, y: 3, j: 2, k: 1, f: 5}. What is prob of sequence kjf?
1/273
What is prob of sequence uuc when three letters picked without replacement from jfeumjcu?
1/168
What is prob of sequence gmm when three letters picked without replacement from ggjmmlmnnlmmjgjnmnl?
5/323
Calculate prob of sequence oop when three letters picked without replacement from owwoowooooppoowpoqoo.
11/190
Four letters picked without replacement from {f: 15, x: 3}. Give prob of sequence ffff.
91/204
Three letters picked without replacement from rrgrbbbrrarbssabar. Give prob of sequence brs.
35/2448
What is prob of sequence gyq when three letters picked without replacement from {n: 3, y: 3, d: 7, l: 3, g: 1, q: 2}?
1/969
Three letters picked without replacement from ubbbbbunhahhbuhbu. What is prob of sequence uha?
1/255
Four letters picked without replacement from yaayimaayhmmamy. Give prob of sequence imhm.
1/2730
Calculate prob of sequence lul when three letters picked without replacement from luuluuuu.
1/28
What is prob of sequence yqyw when four letters picked without replacement from qwqqqyyqyyq?
1/110
What is prob of sequence pfe when three letters picked without replacement from {p: 4, b: 2, e: 9, d: 1, f: 4}?
2/95
Two letters picked without replacement from {p: 2, o: 3}. Give prob of sequence po.
3/10
Calculate prob of sequence lciw when four letters picked without replacement from ciipliwi.
1/420
Two letters picked without replacement from {w: 5, t: 1, v: 2, b: 3, f: 6, h: 2}. What is prob of sequence fw?
5/57
What is prob of sequence ffzf when four letters picked without replacement from ufzzuucfubufzu?
3/4004
What is prob of sequence nsnr when four letters picked without replacement from {r: 2, n: 7, s: 5}?
5/286
Calculate prob of sequence ww when two letters picked without replacement from {w: 2, v: 3}.
1/10
Three letters picked without replacement from {m: 2, i: 17}. Give prob of sequence iii.
40/57
Calculate prob of sequence mllh when four letters picked without replacement from {m: 1, h: 1, z: 2, l: 5, f: 2, s: 2}.
1/858
Calculate prob of sequence gs when two letters picked without replacement from {j: 5, s: 2, n: 3, g: 1, v: 1}.
1/66
What is prob of sequence mjmt when four letters picked without replacement from {t: 7, j: 2, m: 3}?
7/990
Two letters picked without replacement from sywossosossy. What is prob of sequence sw?
1/22
Four letters picked without replacement from trjlrjj. Give prob of sequence jrjj.
1/70
Four letters picked without replacement from xffxxfxfkxxxxtxxtkfx. What is prob of sequence tfkf?
2/2907
Two letters picked without replacement from rrqqrrq. What is prob of sequence rq?
2/7
Four letters picked without replacement from {q: 4, d: 10, l: 5}. Give prob of sequence lldd.
25/1292
Four letters picked without replacement from {r: 8, w: 1, u: 6, c: 1, m: 1}. Give prob of sequence ucru.
1/238
Three letters picked without replacement from {w: 1, x: 2, f: 2, q: 4, j: 1}. What is prob of sequence wfj?
1/360
Calculate prob of sequence kusu when four letters picked without replacement from kbebeosssooukuoo.
1/3640
Two letters picked without replacement from {j: 2, l: 2, q: 1, u: 4, f: 2, a: 1}. What is prob of sequence jj?
1/66
Four letters picked without replacement from njngjjjgjjgnngj. What is prob of sequence jnng?
2/195
Two letters picked without replacement from {h: 2, k: 1, i: 5, o: 1, f: 1}. What is prob of sequence hk?
1/45
Calculate prob of sequence zgug when four letters picked without replacement from gzgujggjuuhjj.
3/1430
Four letters picked without replacement from {q: 6, g: 4, l: 7}. What is prob of sequence qglg?
3/340
Two letters picked without replacement from dkddwwkrwkpkwwk. Give prob of sequence wp.
1/42
Two letters picked without replacement from {g: 18, b: 2}. What is prob of sequence bb?
1/190
Three letters picked without replacement from {c: 5}. Give prob of sequence ccc.
1
Three letters picked without replacement from wwgwggwwwgggwgggww. Give prob of sequence wgw.
9/68
Four letters picked without replacement from kkrkkrkkrk. What is prob of sequence krrk?
1/20
What is prob of sequence cc when two letters picked without replacement from czmmaczmczcccmm?
1/7
Calculate prob of sequence ff when two letters picked without replacement from wfffwwfffwfwff.
36/91
Three letters picked without replacement from {h: 4, d: 10}. Give prob of sequence hdd.
15/91
Four letters picked without replacement from xxxxddxxxdx. What is prob of sequence dxdd?
1/165
Four letters picked without replacement from nffnnnnnnfff. Give prob of sequence ffff.
1/99
Three letters picked without replacement from {m: 5, k: 2}. Give prob of sequence kmk.
1/21
Three letters picked without replacement from roibq. What is prob of sequence rib?
1/60
Four letters picked without replacement from wrmrlllrmllwl. Give prob of sequence wwll.
1/286
Calculate prob of sequence miki when four letters picked without replacement from {z: 3, d: 1, i: 4, m: 1, k: 5}.
5/2002
What is prob of sequence ll when two letters picked without replacement from {l: 2, j: 3, d: 1, u: 1}?
1/21
Three letters picked without replacement from gggggpwjggggggwppwgw. What is prob of sequence ppg?
1/95
Two letters picked without replacement from ddddduujzzzdczjucd. What is prob of sequence uj?
1/51
What is prob of sequence fx when two letters picked without replacement from ifxkxoxxifxf?
5/44
Two letters picked without replacement from mfmfmmmmmfm. Give prob of sequence ff.
3/55
What is prob of sequence ree when three letters picked without replacement from {e: 6, r: 13}?
65/969
Calculate prob of sequence ffye when four letters picked without replacement from mffeymfyyv.
1/280
Four letters picked without replacement from {l: 14, q: 5}. Give prob of sequence lqll.
455/3876
What is prob of sequence ozn when three letters picked without replacement from {n: 3, o: 2, q: 1, b: 3, e: 1, z: 2}?
1/110
Three letters picked without replacement from kuguuuhksg. Give prob of sequence ugs.
1/90
Three letters picked without replacement from {e: 3, h: 3, j: 3, a: 3}. What is prob of sequence ahe?
9/440
What is prob of sequence guju when four letters picked without replacement from {g: 1, u: 2, j: 1}?
1/12
Two letters picked without replacement from aataajfkf. What is prob of sequence af?
1/9
Calculate prob of sequence hbh when three letters picked without replacement from {l: 2, b: 5, h: 3}.
1/24
Three letters picked without replacement from vlllnrnrnnyyrnnynl. Give prob of sequence yly.
1/204
Two letters picked without replacement from {r: 1, a: 3, n: 1, w: 5, j: 2, d: 1}. What is prob of sequence rj?
1/78
What is prob of sequence ndd when three letters picked without replacement from {n: 13, d: 3}?
13/560
What is prob of sequence ccw when three letters picked without replacement from ggggwcwcccgifgw?
6/455
Two letters picked without replacement from pppdc. What is prob of sequence pp?
3/10
What is prob of sequence vdd when three letters picked without replacement from {v: 2, d: 4, e: 6}?
1/55
Two letters picked without replacement from {l: 3, t: 7, j: 8, a: 2}. What is prob of sequence lj?
6/95
What is prob of sequence uhr when three letters picked without replacement from hrrmuu?
1/30
What is prob of sequence cw when two letters picked without replacement from wweccwbeecevbeveceec?
3/76
What is pro | {
"pile_set_name": "DM Mathematics"
} |
False
Let l be 4*(-4)/8 + 26. Let q = 41 - l. Is 4 a factor of q?
False
Suppose -21*x + 27608 = 13*x. Does 16 divide x?
False
Suppose 592 = f - 5*f + 5*r, -4*f - 628 = 4*r. Let u = -109 - f. Let b = 80 - u. Does 18 divide b?
True
Let z(l) = 4*l**2 + 19*l - 15. Let y be z(-11). Let d = y - 46. Is d a multiple of 13?
False
Suppose 4*x - 23 = 53. Suppose 2*c - x = 33. Is c a multiple of 12?
False
Let f(h) = h**3 + 33. Let m be f(0). Let w be 12/9 - m/(-9). Suppose -w*z + 2*u + 302 = 86, 2*z = -5*u + 69. Does 7 divide z?
True
Suppose -4*f = -12, -4*i + 5*f = -i + 24. Let t be 7*i*6/21. Let p(v) = v**3 + 7*v**2 - 10*v - 15. Is 27 a factor of p(t)?
True
Let g be (0 - 1)*1*-2. Suppose g*n + 42 = -0*n. Let d = 26 + n. Does 2 divide d?
False
Let r = 153 + 207. Is r a multiple of 12?
True
Let l = -785 + 374. Let k = 593 + l. Is k a multiple of 28?
False
Is ((-4)/(-8))/(7/10052) a multiple of 7?
False
Let l be (-2)/(-3) + 20/6. Suppose -l = -2*j + 2. Suppose -j*o = -15 - 66. Is o a multiple of 9?
True
Let r = 202 - 73. Suppose -x - 4*u + 70 = 0, -2*x + 3*u + r = -0*u. Is 11 a factor of x?
True
Let s = 26 + -16. Suppose -3*v + 38 = -8*h + 3*h, 5*h - s = -5*v. Suppose 0 = -a + v*a - 4*u - 23, -47 = -5*a - 4*u. Is a a multiple of 2?
False
Let a(h) = h**2 + 3*h + 110. Is a(-9) a multiple of 4?
True
Let i(m) = -10*m + 2. Let j be i(-1). Suppose 0 = o + 2*b - j, -4*o + 5*b - 15 = o. Suppose 2*n + o*n = 256. Does 20 divide n?
False
Let f(l) = -9*l - 9 - 2*l**2 + l**3 + 9*l**2 - 2*l**2. Is f(-5) a multiple of 9?
True
Let u(i) = 6*i**2 + 91*i - 21. Is u(-19) a multiple of 16?
True
Let y be (-4)/(-10) + (-5736)/40. Let m = -93 - y. Let o = -1 + m. Is 20 a factor of o?
False
Suppose 3*n - 127 = -4*f, -10 - 26 = -2*f + 4*n. Suppose f = -5*y + 128. Suppose j - 6*j = -y. Is j a multiple of 3?
False
Let u = 11 - 4. Let f be (-1)/u - (-282)/14. Let k = -8 + f. Does 6 divide k?
True
Suppose 3*w = -3*h + 34 - 7, 16 = -w + 4*h. Let d(y) = 11*y - 1 + y - 8. Is 13 a factor of d(w)?
True
Suppose -12*p + 33 = -3. Suppose 276 = 3*v - v. Suppose p*l = v + 66. Is l a multiple of 15?
False
Let d(a) = 7*a. Let i be 8/(-6)*-2 - 12/(-36). Is 3 a factor of d(i)?
True
Let p be ((-84)/(-16))/(3/4). Suppose -a = -p*a + 24. Suppose a*f - i - 37 = 0, -4*f + 23 = -3*i - 24. Does 8 divide f?
True
Suppose 5*t = 3*k - 4615, 299*k + 5*t = 296*k + 4655. Is k a multiple of 14?
False
Let s be (0 + 1 + -1)/(-2) - 4. Does 5 divide (25 + -4)/(0/s + 1)?
False
Is 18 a factor of 180044/115 - (-2)/5?
True
Let d = 144 + -264. Is 11 a factor of 70/(-4)*(4 - d/(-21))?
False
Let r be (4/(-12))/((-3)/54). Is r - 2 - (1 + -69) a multiple of 8?
True
Suppose -p - 8 = -5*b, p = 2*p + 5*b - 22. Suppose -o = -p*z + 4*z - 23, 2*o - 4*z - 36 = 0. Is o a multiple of 4?
True
Suppose -4*o = -7*o + 3. Let m(f) = 64*f**3 + 3*f**2 - 1. Does 11 divide m(o)?
True
Suppose -2*k - 20*d = -24*d - 264, k = 5*d + 120. Is k a multiple of 10?
True
Suppose 2*z - 40 = 5*s, -s + 58 = 5*z - 42. Suppose 4*v + 4*d = z, -4*v - 4*d + 8*d + 44 = 0. Is 2 a factor of v?
True
Suppose d = 2*y - 7*y - 34, -4*d = 5*y + 46. Let t(q) = q**3 + 7*q**2 + 6*q + 8. Let h be t(y). Is (189/12)/(2/h) a multiple of 24?
False
Let x = -775 + 877. Does 17 divide x?
True
Let g(l) = 39*l - 213. Does 44 divide g(19)?
True
Let c be (-3168)/63 - (-4)/14. Let f = 95 + c. Does 9 divide f?
True
Let v(m) = m**3 + 10*m**2 - 12*m + 5. Let p be -2*((-9)/6)/3. Let j be (-32 - p)*2/6. Is v(j) a multiple of 5?
False
Suppose -5*h - 3*a - 182 = 0, -5*h - 4*a - a - 190 = 0. Let q(w) = 13*w + 26. Let r be q(-7). Let o = h - r. Does 20 divide o?
False
Suppose 4*u = -0*u + 16. Let c be 2 + u/4 + 1. Suppose -135 = -c*k + k. Is 9 a factor of k?
True
Suppose -5*l - 3858 = -2*n, -2*n - 306*l + 309*l + 3858 = 0. Does 62 divide n?
False
Suppose 3*t - 5*t = -396. Suppose -6*l + 4*l + t = 0. Suppose -14*v + 17*v = l. Is 11 a factor of v?
True
Suppose -c + 24 = 3*c. Let p be 758/12 + (-1)/c. Suppose -p = -3*q + 6*r - 3*r, 3*r - 33 = -3*q. Does 4 divide q?
True
Let i be (-1)/(2*(-1)/4). Suppose -i*b - b + 9 = 0. Let v = 24 - b. Is 9 a factor of v?
False
Is (-965831)/(-2575) - 2/25 a multiple of 6?
False
Suppose m = -2*m + 4*y + 165, -3*m + 165 = -3*y. Suppose -265 - m = -5*v. Suppose -4*t + 95 = -5*x + 31, -v = -4*t + x. Is t a multiple of 6?
False
Suppose -103*k - 1212 = -109*k. Is 4 a factor of k?
False
Suppose -4*x = -8, -2*k - 31 = -5*k - 5*x. Suppose -q - 4 = -s, -s + k*q = 2*q - 12. Suppose -s*j = -6*j, u - 29 = -3*j. Is 18 a factor of u?
False
Let v(x) = -x**3 - 41*x**2 - 5*x + 109. Does 24 divide v(-41)?
False
Let g(m) be the first derivative of 11/2*m**2 + 12*m - 1/3*m**3 - 1. Is 12 a factor of g(11)?
True
Suppose -5*n + 2*l - 140 + 470 = 0, 15 = 3*l. Suppose -f + 2*w + 31 = 0, -n + 210 = 4*f + w. Let k = f - 25. Is 5 a factor of k?
True
Suppose -21*g = -32*g + 1980. Is g a multiple of 6?
True
Suppose 5*l = 6*l - 3. Suppose 2*p + 48 = 2*q, -l*p + 2 = -10. Does 7 divide q?
True
Let m be 4/(-3) - 2/(-6). Let u = m + 0. Is 9 a factor of u/(-7) - 522/(-21)?
False
Let n(s) = s**3 - 5*s**2 - 6*s - 8. Let y be n(6). Let v be y/16 - 5/(-2). Suppose -2*p = 2*l - 124, 2*p - v*l - 85 = 39. Does 9 divide p?
False
Let z be (-6)/(-33) + 525/77. Suppose 0 = -5*c - 5*r + 175, -c + r + 18 = -z. Is 6 a factor of c?
True
Is 10 a factor of 1310/35 + (-21)/49?
False
Let j = -59 - -63. Suppose 4*f + 2*a = j*a + 418, 4*a = 20. Is f a multiple of 30?
False
Let t = 286 + -222. Does 11 divide t?
False
Let u = 1374 + 333. Does 35 divide u?
False
Let z(f) = -f**3 - 5*f**2 - 5*f + 4. Let n be z(-3). Suppose -3*g = 0, 3*g = 4*p - 13 + n. Is 3 a factor of p?
True
Does 60 divide (-2)/(4/(-1398)) - -10?
False
Let w = 223 + -149. Let t be (-20)/50 - w/(-10). Is 9 a factor of ((-36)/t)/((-1)/7)?
True
Let i(h) = h**3 + h**2 - h + 12. Let s be i(0). Let o = s + 28. Is 20 a factor of o?
True
Suppose 2*t + 774 = 11*t. Suppose 0 = w - 4*n - 14, -w - 3*w = -n - t. Is w a multiple of 11?
True
Suppose 1 = -5*r + 16. Let p(z) = -1 + 3*z - 2*z**3 - z**2 + 0*z + 9*z**r - 2*z. Is p(1) even?
True
Suppose 0 = c - 7 - 231. Does 5 divide c?
False
Suppose -598 = -2*t + 3*b + 671, -t + 662 = 4*b. Is t a multiple of 55?
False
Let w = -4 - -5. Let z be (-1 + w)/(-4 - -3). Suppose -4*l + 89 - 13 = z. Is l a multiple of 19?
True
Let o be 2/(-6) + (-805)/(-3). Suppose -4*h + 283 - 20 = 5*y, o = 4*h + 4*y. Does 9 divide h?
True
Suppose -60*n = -26*n - 2346. Is n a multiple of 23?
True
Let i be 0/(((-1)/(-1))/1). Let k = i - -41. Suppose 4*n = w + k - 8, -n + 3*w = 0. Is 9 a factor of n?
True
Let t be 20/(-6)*(-39)/26. Suppose 0 = -p + t, -5*p + 8 + 7 = -5*x. Suppose -3*r - 497 = -4*z, 0*z = -4*z + x*r + 502. Does 28 divide z?
False
Let l(t) = -t**3 - 4*t**2 + 21*t. Let d be l(-7). Suppose -244 = -2*x + 4*b, x + 4*b = 6*x - 616. Suppose -i - i + x = d. Is i a multiple of 16?
False
Let x be (-1 + 1 - -5) + -3. Suppose -4*k - 32 = -3*q - x*k, 4*k - 68 = -5*q. Is (-220)/(-6) - 8/q a multiple of 12?
True
Suppose 5*p = 12 + 3. Suppose 7*o - 400 = -p*o. Is o a multiple of 7?
False
Suppose 64 = -7*z + 505. Is z a multiple of 21?
True
Let l(d) be the third derivative of d**5/4 - d**4/12 - d**3/6 - 9*d**2. Let t be l(-1). Let n = 61 - t. Does 15 divide n?
True
Let x(q) = -26*q**2 + 9*q**2 - 2*q**3 - 3*q + 7 + 11*q**2. Does 23 divide x(-6)?
False
Let k = -3141 - -5281. Is 107 a factor of k?
True
Suppose 8*p = 5*v + 6*p - 556, -101 = -v - 3*p. Is v a multiple of 6?
False
Suppose -301 = -0*o - 3*o - 5*y, 4*o + y = 390. Does 4 divide o?
False
Suppose -3 = 3*u - 0. Is 31 a factor of (-1*(0 - u))/((-2)/326)?
False
Let p = 10 + -52. Let w = -20 - p. Does 11 divide w?
True
Let a(o) = 100*o**2 - 6*o - 10. Is a(-2) a multiple of 21?
False
Suppose -5*i + 0*i + 2*h = -29, -2*i + 4*h = -18. Suppose -v - v + 129 = 3*a, 0 = 5*a + i*v - 210. Is a a multiple of 5?
True
Let m(c) = c + 3. Let v be m(-3). Let n(q) = -6*q - 3*q**2 - 2 + v*q + 5*q**2 + 1. Is n(4) even?
False
Let l = 27 + -45. Is (-45)/6*l/15 even?
False
Suppose -6*x = 26*x - 18496. Does 21 divide x?
False
Let b be (-5 + 4 + 3)*1. Suppose -c + b*c - 5*d = 671, 0 = -5*c - 5*d + 3235. Suppose -5*k + c = 146. Is 17 a factor of k?
False
Let q be (-11 + (-187)/(-22))/((-1)/2). Let t(x) = 3*x**2 - x. Let h | {
"pile_set_name": "DM Mathematics"
} |
et i(s) = 11*s**3 - 36*s**2 + 77*s - 43. Let k(j) = -18*i(j) + 5*l(j). Factor k(w).
-3*(w - 2)**3
Let f = 145 + -144. What is h in -3/2*h + f + 1/2*h**3 + 0*h**2 = 0?
-2, 1
Suppose -8 - 1 = x - 2*g, 5*g = -3*x + 17. Let a = 3/2 + x. Solve -a*b + 0*b**2 - 1/2*b**5 + b**3 + 0*b**4 + 0 = 0 for b.
-1, 0, 1
Let k(f) = f**4 - f**3 - 2*f**2 + f. Let t(y) = y**4 + y**3 - y. Let g(j) = k(j) + t(j). Factor g(c).
2*c**2*(c - 1)*(c + 1)
Let x(a) = a**2 + 4*a - 3. Let d be x(-5). Factor 0*u + 3*u + u**2 - u**2 - 3*u**d.
-3*u*(u - 1)
Let z(w) = -w - 2. Let d be z(-6). Factor -d*g**2 - g + 5*g - 1 + 3*g**2 - 3.
-(g - 2)**2
Let t(w) = 4*w**2 + 9*w - 9. Let u(m) = -5*m**2 - 10*m + 10. Let i = -3 + 6. Let s be (-1)/((i/18)/(-1)). Let a(x) = s*t(x) + 5*u(x). Factor a(d).
-(d - 2)**2
Let a(o) = 3*o - 30. Let l be a(11). Let q(z) be the third derivative of 0*z + 0 - 4/15*z**l + z**2 - 1/300*z**6 + 1/50*z**5 + 0*z**4. Factor q(s).
-2*(s - 2)**2*(s + 1)/5
Let w = 3 - 4. Let d be (-4 + (1 - -1))*w. Factor 2*b + 2 - 2*b - 2*b**d.
-2*(b - 1)*(b + 1)
Let c(q) be the second derivative of 1/36*q**4 - 3*q + 1/9*q**3 + 1/6*q**2 + 0. Determine l so that c(l) = 0.
-1
Let x be (-4)/10 - (-66)/15. Factor 8*q**3 + 0*q**3 - q**3 + x*q**4 - q + 2*q**2.
q*(q + 1)**2*(4*q - 1)
Let w(z) be the second derivative of 1/9*z**4 + z + 0 + 4/9*z**3 + 8/9*z**2 + 1/90*z**5. Let w(k) = 0. Calculate k.
-2
Let c(d) = -d - 11. Suppose w = g - 2*w - 2, 6 = -2*g + 4*w. Let z be c(g). Determine k so that 1/3*k**3 + 0 + 0*k**z + 0*k + 0*k**4 - 1/3*k**5 = 0.
-1, 0, 1
Let o(u) be the first derivative of u**7/210 - u**6/40 + u**5/20 - u**4/24 + u**2 + 8. Let p(n) be the second derivative of o(n). Let p(r) = 0. What is r?
0, 1
Let b(x) be the first derivative of 4*x**3/3 + 2*x**2 - 8*x - 5. Find t such that b(t) = 0.
-2, 1
Let b(p) be the third derivative of 8*p**7/21 + 5*p**6/3 - 29*p**5/4 + 175*p**4/24 - 10*p**3/3 + 31*p**2. Determine t so that b(t) = 0.
-4, 1/4, 1
Let f = 9 - 3. Let q(x) be the second derivative of 1/135*x**f + 0*x**2 + 1/54*x**4 + 1/45*x**5 + 0*x**3 + 0 - 2*x. Let q(g) = 0. What is g?
-1, 0
Let m(u) be the first derivative of 5*u**3/4 - 55*u**2/8 - 5*u + 14. Factor m(n).
5*(n - 4)*(3*n + 1)/4
Let u(n) be the first derivative of -2*n**6/3 - 8*n**5/5 - n**4 - 6. Factor u(l).
-4*l**3*(l + 1)**2
Let k be 0 + -3 - (1 + -4). Let p(q) be the third derivative of k*q**3 + 0*q**5 + 2*q**2 + 1/180*q**6 + 0*q + 0 + 0*q**4. Suppose p(m) = 0. What is m?
0
Let p be -2 + (-32)/(-18) + 8/36. Factor 0 + 2/5*a**5 + 0*a + p*a**4 - 2/5*a**3 + 0*a**2.
2*a**3*(a - 1)*(a + 1)/5
Suppose 32 = 8*m + 8*m. Let h(v) be the second derivative of 2*v + 1/20*v**4 + 0 - 3/10*v**m + 0*v**3. Factor h(u).
3*(u - 1)*(u + 1)/5
Let r(c) = -4*c**2 - 8. Let j(g) = g**2 - g. Let n(z) = -6*j(z) - r(z). Solve n(l) = 0.
-1, 4
Suppose o + 7*c - 4*c + 21 = 0, 0 = -3*c. Let m = -19 - o. Let 0 + 1/5*z**m + 1/5*z = 0. Calculate z.
-1, 0
Let l(j) be the third derivative of j**8/16800 + j**7/12600 - j**6/900 + j**5/20 - j**2. Let p(r) be the third derivative of l(r). Let p(g) = 0. What is g?
-1, 2/3
Let u(r) be the third derivative of r**7/11340 + r**6/810 + r**5/135 + r**4/3 - 4*r**2. Let d(i) be the second derivative of u(i). Solve d(h) = 0.
-2
Suppose -5*a - 2*q - 6 = -6*a, -3*a - 2*q = -2. Factor -o - 1/3*o**3 - o**a - 1/3.
-(o + 1)**3/3
Let j(w) be the third derivative of 0*w - 5*w**2 - 1/180*w**5 - 1/18*w**3 + 1/36*w**4 + 0. Suppose j(m) = 0. What is m?
1
Let p(v) be the first derivative of 1/360*v**6 + 1/24*v**4 + 1/60*v**5 + 0*v**2 - 1/3*v**3 + 2 + 0*v. Let s(y) be the third derivative of p(y). Factor s(l).
(l + 1)**2
Suppose -4*j = -2*u - 78, -8 = 5*u - 3. Factor -2*h**3 - 24*h + h**2 + 16 + j*h**2 - 8*h**2.
-2*(h - 2)**3
Factor 1 + x - 3/4*x**2.
-(x - 2)*(3*x + 2)/4
Let r(z) = -36*z**3 - 39*z**2 + 12*z - 15. Let f(m) = 9*m**3 + 10*m**2 - 3*m + 4. Let h(v) = 15*f(v) + 4*r(v). Factor h(s).
-3*s*(s + 1)*(3*s - 1)
Let t(u) be the second derivative of -u**6/10 + 9*u**5/20 + u**4/4 - 3*u**3/2 + 6*u. Factor t(i).
-3*i*(i - 3)*(i - 1)*(i + 1)
Suppose -24 = -b - b. Find h such that -5*h**2 + 13*h + 2*h**3 - b*h**3 - 2*h**4 - h**2 + 5*h = 0.
-3, 0, 1
Let i be 1 - 0 - (-2 - 0). Suppose -i*v + t = -3*t + 8, -8 = v - 4*t. Factor v + 4/9*j**2 - 2/9*j - 2/9*j**3.
-2*j*(j - 1)**2/9
Let t(h) be the third derivative of 2/1155*h**7 + 0*h**6 + 0*h - 1/165*h**5 - 1/132*h**4 + 0 + 1/1848*h**8 + 0*h**3 + 5*h**2. Suppose t(s) = 0. What is s?
-1, 0, 1
Let t = -61 - -17. Let p be 3/(-12) + (-11)/t. Determine b, given that 9/4*b**3 + 5/4*b**5 - 1/2*b**2 - 3*b**4 + p + 0*b = 0.
0, 2/5, 1
Let x = -20 - -26. Let u = x + -4. Factor 4/7*y**3 + 0*y - 2/7*y**4 - 2/7*y**u + 0.
-2*y**2*(y - 1)**2/7
Suppose -f - 4*f + c = -2, -2*c = 4. Factor -1/4*g + f - 1/4*g**2.
-g*(g + 1)/4
Let y = -69 - -211/3. Factor 0 - y*j - 4/3*j**2.
-4*j*(j + 1)/3
Let 3/2*q**2 + 0*q + 0 + 1/2*q**3 = 0. What is q?
-3, 0
Let x(f) be the first derivative of -3*f**5/20 + 3*f**4/16 + f**3/8 - f + 4. Let u(m) be the first derivative of x(m). Solve u(w) = 0.
-1/4, 0, 1
Let x(d) be the third derivative of d**7/70 + d**6/10 + d**5/5 + 5*d**2. Factor x(v).
3*v**2*(v + 2)**2
Let o = -1 - -7. Suppose 3*b - 2*k - o = 0, -2*b + 3*b + 6 = -2*k. Factor 2/3*t**2 + 1/3*t**3 + 1/3*t + b.
t*(t + 1)**2/3
Let f = 2/131 - -248/917. Factor -f*y**2 + 1/7*y + 0.
-y*(2*y - 1)/7
Let q = 29/8 - 601/168. Let k(t) be the first derivative of 16/7*t + q*t**6 + 4*t**2 + 25/14*t**4 + 16/35*t**5 + 2 + 76/21*t**3. Find n such that k(n) = 0.
-2, -1
Let k(x) be the third derivative of x**7/735 - x**6/420 - x**5/210 + x**4/84 - 12*x**2. Find w such that k(w) = 0.
-1, 0, 1
Let p(c) be the first derivative of -2/21*c**3 - 2/7*c - 2/7*c**2 - 1. Suppose p(f) = 0. What is f?
-1
Suppose -2*y - 40 = 3*y. Let l be y/20*(-30)/3. Solve -5/3*k**3 + 3*k**2 + 2/3 - 7/3*k + 1/3*k**l = 0.
1, 2
Let 15/4 + 3/4*j**2 - 9/2*j = 0. Calculate j.
1, 5
Let z(t) be the third derivative of t**6/300 + 2*t**5/75 + t**4/20 - 11*t**2. Factor z(m).
2*m*(m + 1)*(m + 3)/5
Suppose 4*m = m + 9. Suppose m*v = 2*v. Solve 1/2*z - 1/2*z**2 + v = 0.
0, 1
Let -19*o**2 + 2 + 5*o**3 - 11*o**2 - 2 + 25*o = 0. Calculate o.
0, 1, 5
Let w = -5256/17 + 1261559/4080. Let c(t) be the third derivative of 0*t**3 + 0 - w*t**5 - 1/48*t**4 + t**2 + 0*t. Find g such that c(g) = 0.
-2/7, 0
Let m(o) = -3*o - 5 + 1 + 2*o - 2. Let j be m(-8). Suppose 2*p - 4*p**2 + 3*p**2 + 1 - j*p = 0. What is p?
-1, 1
Suppose -2*s - k = -6, 4*s - 3*k - 2*k = 12. Factor -4*n**3 - n**s + 0*n**3 + 3*n**3 + 2*n**2 + 4*n.
-2*n*(n - 2)*(n + 1)
What is d in -1/4*d**3 + 0*d + 1 - 3/4*d**2 = 0?
-2, 1
Factor 1/6*t + 0 + 8/3*t**4 + 4/3*t**3 - 7/6*t**2.
t*(t + 1)*(4*t - 1)**2/6
Suppose 4*k - 34 = -3*y + 41, 0 = 3*k - 5*y - 49. Suppose 4*p - 3*q - 13 - k = 0, 3*p - 2*q - 23 = 0. Solve -7*n + 2*n**4 + p*n - 2*n**3 = 0.
0, 1
Let q be 122/240 + ((-9)/(-6))/(-3). Let j(t) be the third derivative of 0*t + 0 - q*t**5 + 3*t**2 + 1/12*t**3 + 1/240*t**6 - 1/48*t**4. Factor j(p).
(p - 1)**2*(p + 1)/2
Let n(s) be the second derivative of s**5/20 + s**4/6 - s**3/6 - s**2 - 7*s. Factor n(y).
(y - 1)*(y + 1)*(y + 2)
Let h(u) be the first derivative of -2*u**3/15 + 5*u**2/3 - 16*u/15 + 66. Solve h(d) = 0.
1/3, 8
Let u(t) be the third derivative of -5*t**8/336 + 5*t**7/42 - t**6/3 + t**5/3 - 11*t**2. Factor u(m).
-5*m**2*(m - 2)**2*(m - 1)
Factor 10*w**4 - 15*w**4 - 29*w + 5*w**3 + 20*w**2 + 9*w.
-5*w*(w - 2)*(w - 1)*(w + 2)
Let 0 + 2/7*d**2 - 2/7*d = 0. What is d?
0, 1
Let m be 10/15 + 4/(-6). Suppose -r + 4 + 0 = m. Suppose -2/7*j**3 + 0 - 2/7*j**r + 0*j + 0*j**2 = 0. Calculate j.
-1, 0
Let k(x) = 2*x. Let r be k(1). Let i(g) be the first derivative of -2 - 4/7*g - 2/21*g**3 + 3/7*g**r. Determine q so that i(q) = 0.
1, 2
Let f(s) be the second derivative of -s**5/170 + 2*s**4/51 - 5*s**3/51 + 2*s**2/17 + 8*s. Determine b so that f(b) = 0.
1, 2
Let w(p) be the first derivative of -4*p**5/5 - 2*p**4 - 4*p**3/3 - 10. Factor w(j).
-4*j**2*(j + 1)**2
Suppose 2*v + 7*v = 198. Let w = v + -22. Factor 0 - 2/9*d**4 + w*d**3 + 2/9*d**2 + 0*d.
-2*d**2*(d - 1)*(d + 1)/9
Suppose -6 = -4*o + 2. Let i = -18 + 22. Factor -9*z**i - 3*z**2 + o*z**5 + z**5 + 0*z**5 + 9*z**3.
3*z**2*(z - 1)**3
Let k(j) be the second derivative of 0 + 1/35*j | {
"pile_set_name": "DM Mathematics"
} |
61
Put -0.2, 3, -0.18, 67 in decreasing order.
67, 3, -0.18, -0.2
Put -3, 1/9, 1/3, -38, -10/7 in descending order.
1/3, 1/9, -10/7, -3, -38
Put 5, -185720, 3 in decreasing order.
5, 3, -185720
Sort -17, -243, 11 in decreasing order.
11, -17, -243
Put -11, 7, -600 in descending order.
7, -11, -600
Sort -3, -11161, 26, -5 in ascending order.
-11161, -5, -3, 26
Put -1466, 0.2, 3, 1 in decreasing order.
3, 1, 0.2, -1466
Sort -2, -5, 21, 1 in increasing order.
-5, -2, 1, 21
Put -36034, -4, -2 in descending order.
-2, -4, -36034
Sort 0.4, 3042.6, 0.1.
0.1, 0.4, 3042.6
Sort 1, -3, -2, 3, 23 in descending order.
23, 3, 1, -2, -3
Put -3, -4, -20, -10/3, -33 in decreasing order.
-3, -10/3, -4, -20, -33
Sort -0.017, -0.2, 15, 5, -5 in decreasing order.
15, 5, -0.017, -0.2, -5
Sort 16, -84, 15 in ascending order.
-84, 15, 16
Put -499, -2/9, -3/14, -0.1 in descending order.
-0.1, -3/14, -2/9, -499
Put 4, -36, 26, 12 in increasing order.
-36, 4, 12, 26
Sort -1, 3/6524, 3, 0 in decreasing order.
3, 3/6524, 0, -1
Sort 33, 5, -2, 2, 9, 147 in descending order.
147, 33, 9, 5, 2, -2
Sort -0.5, -27, -2/9, -17281 in decreasing order.
-2/9, -0.5, -27, -17281
Sort 78.1, -0.5, -2/831, -5 in decreasing order.
78.1, -2/831, -0.5, -5
Put 56, -24, 5, 0 in decreasing order.
56, 5, 0, -24
Sort 0.9, -245, -2 in descending order.
0.9, -2, -245
Put -0.1, -21, 5/6, 1, -10 in descending order.
1, 5/6, -0.1, -10, -21
Sort 4, 32, 17, 2, 5 in decreasing order.
32, 17, 5, 4, 2
Put 0, 11, -14, 10 in descending order.
11, 10, 0, -14
Put -2, -4, -1085, 6 in increasing order.
-1085, -4, -2, 6
Put 92/7, 0.42, 5 in descending order.
92/7, 5, 0.42
Sort -2/39, -2/3, 0.1377.
-2/3, -2/39, 0.1377
Put 4, -1/6, 13, 5, -31 in increasing order.
-31, -1/6, 4, 5, 13
Sort 2/3, -0.12, 3/2, 2.86.
-0.12, 2/3, 3/2, 2.86
Put 1, -15.4, -3, 4/5, 17/3 in decreasing order.
17/3, 1, 4/5, -3, -15.4
Sort 4, -4, -3574, 7, 3, -3 in decreasing order.
7, 4, 3, -3, -4, -3574
Put -10, -1/7, 2/3, -1.6, -8 in increasing order.
-10, -8, -1.6, -1/7, 2/3
Sort -12, -81, -134, 4 in increasing order.
-134, -81, -12, 4
Sort 11851, -2, -4, -1, -7, 3 in ascending order.
-7, -4, -2, -1, 3, 11851
Sort -21, 24, 3, 159 in increasing order.
-21, 3, 24, 159
Sort -2/5, -3/5, 70, 0.05, -3/16 in increasing order.
-3/5, -2/5, -3/16, 0.05, 70
Put 2, 1, -2, 4, 56, 27 in descending order.
56, 27, 4, 2, 1, -2
Sort -64, 7, -3, -51 in ascending order.
-64, -51, -3, 7
Put 3, 4, -3, 391, -5 in increasing order.
-5, -3, 3, 4, 391
Sort 3, 4, -146949 in decreasing order.
4, 3, -146949
Sort 1, 10026, -4, 0.4, -0.1.
-4, -0.1, 0.4, 1, 10026
Put -1/4, 9.6, -2/7, -2 in descending order.
9.6, -1/4, -2/7, -2
Put 0.1, 1/5, -8, -11.8, 6 in decreasing order.
6, 1/5, 0.1, -8, -11.8
Put -98, -7/2, -18 in decreasing order.
-7/2, -18, -98
Sort -2, -16, 4, -4, 25.
-16, -4, -2, 4, 25
Sort -38, -5, -121 in ascending order.
-121, -38, -5
Put -0.01, -195, 20, -0.5, 1/6 in descending order.
20, 1/6, -0.01, -0.5, -195
Put -6, 4, 5, -2, -51 in increasing order.
-51, -6, -2, 4, 5
Sort 29, -27/13, 0.1 in decreasing order.
29, 0.1, -27/13
Put 5, -3, -130, -2 in descending order.
5, -2, -3, -130
Put 0.2, 5, 1, 3863.9 in decreasing order.
3863.9, 5, 1, 0.2
Sort -2, -4, 0, 8041 in decreasing order.
8041, 0, -2, -4
Sort 1303, 2, 1, 4 in descending order.
1303, 4, 2, 1
Sort -9, 463, -3, 2 in descending order.
463, 2, -3, -9
Sort -862, 0, 0.4.
-862, 0, 0.4
Sort -2, -14, 1, -21, -1.
-21, -14, -2, -1, 1
Put -1, -7, 1 in ascending order.
-7, -1, 1
Put -69, -3, 874, 3, -5 in descending order.
874, 3, -3, -5, -69
Put 0, -115, -5, -1/3, 1222 in descending order.
1222, 0, -1/3, -5, -115
Sort 6/19, 2640, -0.2, 3 in ascending order.
-0.2, 6/19, 3, 2640
Put -41, -8, -2, -5, 5, -3 in descending order.
5, -2, -3, -5, -8, -41
Sort -0.2, -0.91, 1147, -2/5.
-0.91, -2/5, -0.2, 1147
Sort -4, 52, 0, 22, -1 in descending order.
52, 22, 0, -1, -4
Put 2, 4/11, -2, 0.0273, -2/9 in increasing order.
-2, -2/9, 0.0273, 4/11, 2
Sort -388, -0.1, 0.4.
-388, -0.1, 0.4
Sort -189, 2, -3, 11.
-189, -3, 2, 11
Sort -2, 0.13, -682.
-682, -2, 0.13
Put -56, -55/8, -5 in descending order.
-5, -55/8, -56
Sort 4.3, 0, 0.23, 2/5, -0.4 in descending order.
4.3, 2/5, 0.23, 0, -0.4
Put 2, 7/69, -32 in descending order.
2, 7/69, -32
Sort 24, 1, -1, -5, 5.
-5, -1, 1, 5, 24
Sort -4, -3184, 4, 2/3 in increasing order.
-3184, -4, 2/3, 4
Sort -7, 2, -3, -28, 21 in ascending order.
-28, -7, -3, 2, 21
Put 24, 0.2, -84, -0.04 in decreasing order.
24, 0.2, -0.04, -84
Sort -304, 4, 1, -0.06, 5, 3/2 in descending order.
5, 4, 3/2, 1, -0.06, -304
Put -3, 3, -34, -5, -8 in descending order.
3, -3, -5, -8, -34
Sort 9, -15, 0, 1, 422 in descending order.
422, 9, 1, 0, -15
Sort 0, 8.948, 0.1, 1.
0, 0.1, 1, 8.948
Sort -357, 0, -1, 3, -2, -4 in decreasing order.
3, 0, -1, -2, -4, -357
Put -26, 8, -7, -15 in ascending order.
-26, -15, -7, 8
Sort 7, -3545, 0.02.
-3545, 0.02, 7
Put 4, -656, -42, -5 in decreasing order.
4, -5, -42, -656
Sort -0.02, 0.068, -4, 0.3, 5, -0.2.
-4, -0.2, -0.02, 0.068, 0.3, 5
Put -2/9, -7, 2140, 0.2 in decreasing order.
2140, 0.2, -2/9, -7
Sort -3, 4, 2, -30627.
-30627, -3, 2, 4
Sort 73, -3265, 2.
-3265, 2, 73
Sort 4, 96, -479, 1 in decreasing order.
96, 4, 1, -479
Put 0.01, -1, -3/2, -4433, -1/4 in increasing order.
-4433, -3/2, -1, -1/4, 0.01
Put 2/13, 7/9, -3, -3.9, 12, -2 in decreasing order.
12, 7/9, 2/13, -2, -3, -3.9
Sort 4.82, -2/651, 16 in ascending order.
-2/651, 4.82, 16
Put -64139, -0.2, 3, 4 in decreasing order.
4, 3, -0.2, -64139
Sort 2/3, 2, 0.3, -9, 0.1 in decreasing order.
2, 2/3, 0.3, 0.1, -9
Sort -4, 7146, 3 in decreasing order.
7146, 3, -4
Put 0.7, 5, 0.3, 3, 215, -0.01 in descending order.
215, 5, 3, 0.7, 0.3, -0.01
Sort -1, -233, 4, 1, 0 in descending order.
4, 1, 0, -1, -233
Put -1/3, -49, 5 in decreasing order.
5, -1/3, -49
Sort 0.4, 0.3, 1, 17, -14/31 in descending order.
17, 1, 0.4, 0.3, -14/31
Sort -1/5, -4, 13.48, 0.2 in increasing order.
-4, -1/5, 0.2, 13.48
Sort 1/5, -458, -0.8, 0.1, -3, -0.5.
-458, -3, -0.8, -0.5, 0.1, 1/5
Put 0, 126, -21, -105, 1 in decreasing order.
126, 1, 0, -21, -105
Sort -2/21, -102, -0.5, -2/5 in ascending order.
-102, -0.5, -2/5, -2/21
Sort -2/7, 4/7, -3, 3/8, 6 in descending order.
6, 4/7, 3/8, -2/7, -3
Put 2/1089, -2/15, 1, 2/7, 5 in increasing order.
-2/15, 2/1089, 2/7, 1, 5
Put -5, 3/13, 3, -21 in decreasing order.
3, 3/13, -5, -21
Sort -49, -3, 34, 19 in ascending order.
-49, -3, 19, 34
Sort -5, 11, 199, 4, 51.
-5, 4, 11, 51, 199
Put -1/6, -3.3, -1, -0.3, 1, 126 in descending order.
126, 1, -1/6, -0.3, -1, -3.3
Put -2, 1/6, -8, -40083, 2/5 in ascending order.
-40083, -8, -2, 1/6, 2/5
Put -5, -32, -2047, 1 in increasing order.
-2047, -32, -5, 1
Put -983, 2, -5, -33 in ascending order.
-983, -33, -5, 2
Sort 5, -1, 2, 324 in ascending order.
-1, 2, 5, 324
Sort 1, 0, -18, 11, 3.
-18, 0, 1, 3, 11
Sort 12/11, -0.6, 1/43, -0.2.
-0.6, -0.2, 1/43, 12/11
Put 36, -1, -563 in ascending order.
-563, -1, 36
Sort -1/7, 5, -3/2, -3, 54/101, 0.5 in increasing order.
-3, -3/2, -1/7, 0.5, 54/101, 5
Put -56, 0, 17, 5, -15 in decreasing order.
17, 5, 0, -15, -56
Sort 0.1116, 0.7, 0 in ascending order.
0, 0.1116, 0.7
Sort -1/3, -3, -0.06, -1.58, 0.06 in descending order.
0.06, -0.06, -1/3, -1.58, -3
Put 6, 61, 0, 148, -4 in descending order.
148, 61, 6, 0, -4
Put -454, -1, -420, -2 in decreasing order.
-1, -2, -420, -454
Put 3, 6, -5, 4, -81 in increasing order.
-81, -5, 3, 4, 6
Put -1, -10/21, 1, -4/7, 9, 4 in descending order.
9, 4, 1, -10/21, -4/7, -1
Put -0.06, -114, -0.42 in descending order.
-0.06, -0.42, -114
Sort 6, 4, 2, -46, -11 in decreasing order.
6, 4, 2, -11, -46
Sort 2, 3, -10, 7, -5.
-10, -5, 2, 3, 7
Put -2/43, -2634/7, 2, 5 in decreasing order.
5, 2, -2/43, -2634/7
Sort -20, -272, 0, 3 in increasing order.
-272, -20, 0, 3
Put 2140, 2, -2 in decreasing order.
2140, 2, -2
Put 1, 0, 6452 in increasing order.
0, 1, 6452
Put 1542, 4, 15 in ascending order.
4, 15, 1542
Sort 33, 4, -887, -4, -1 in descending order.
33, 4, -1, -4, -887
Put 2, 1541, 3, -5 in increasing order.
-5, 2, 3, 1541
Put 5, -36, 4, 16, -120, 3 in decreasing order.
16, 5, 4, 3, -36, -120
Put -0.23, 4/25, -2/8033 in decreasing order.
4/25, -2/8033, -0.23
Put -5, 0.2, -2, 10, -37/33 in ascendin | {
"pile_set_name": "DM Mathematics"
} |
+ 38, -4*d = 2*t + 30 for t.
-5
Let t be (0/1)/(1/1). Let p(o) = -5*o - 6. Let s be p(-5). Suppose s*x = 29*x - 90. Solve -2*r + b = t, x*r - 3 = 4*r + 4*b for r.
-1
Let x(p) = -p**3 - 9*p**2 - 51*p - 238. Let w be x(-7). Solve -5*b + 14*f - 24 = 17*f, -3*b - 4*f - w = 0 for b.
-3
Let t(z) = 5*z**2 - 5*z - 4. Let k be t(-1). Suppose 4*j - i + k*i = 12, -5*i = 0. Solve -j*w - d = -7, -d - 40 = -5*w + 3*d for w.
4
Let k = 8 - 7. Suppose 2*m - 3*q = 7, -m = -3*m - 2*q + 2. Solve 2*c - w = w - m, c = -w - k for c.
-1
Suppose -5*a = -5*y - 55, -2 = 2*y + 2. Suppose 0 = -7*b - a*b + 6*b. Let m(h) = h**2 + 6*h. Let i be m(b). Solve i = 2*p - v - 8, 3*p - 19 - 3 = 4*v for p.
2
Suppose k + 1 = -d + 2*k, -3*k + 5 = -2*d. Let m(w) = 22 + d*w + 0*w - w. Let l be m(-13). Solve 2*h + h - l = s, 4*s = 12 for h.
4
Suppose 16*t + 24 = 22*t. Suppose -t*l - 25 = -9*l. Solve 4*q + 40 = -l*d, 0*d - 2*q = -2*d + 2 for d.
-4
Suppose -5*u = 5*l + 15, -23 = -5*l + l + 3*u. Solve -l*x - q = -5*x - 1, -x + 4*q - 4 = 0 for x.
0
Let d be 12 + -7 + (1 - 0)/1. Let m(t) = -2*t**2 - 18*t - 4. Let a be m(-8). Suppose 3*j - a = -j. Solve -d*g + g - r = -10, -4*g + 27 = -j*r for g.
3
Let b = -8829 + 8831. Suppose 2*z - 12 = -2. Suppose z*d - 5 - 5 = 0. Solve d*w = -p - b, 3*w = 5*p + w + 10 for p.
-2
Let l = 50 + -49. Let n(b) = 3*b**3 - b**2 + 1. Let r be n(l). Suppose 9*k - r*p - 44 = 4*k, -4 = -2*p. Solve 0 = 3*h + 4*g + k, -3*h - h - 3 = -5*g for h.
-2
Suppose -3*s - 224 = 11*s. Let o be (s/(-3))/(-8)*3 - -6. Solve k + o = 3*b - 0*b, -4*k = 5*b + 16 for k.
-4
Suppose -20*y = -17*y - 60. Suppose -18*t = -y*t - 122. Let z = -42 - t. Solve -4*h = -5*k - 2 - z, 4*h = 4*k + 16 for h.
-1
Let q = -371 - -373. Let m = -311 + 315. Solve -2*d + 4*j + 26 = -m*d, q*j = 3*d - 1 for d.
-3
Suppose 0 = 6*u - 66*u + 180. Solve 0 = f - 3*a + u, -4*f + f - 3*a = -3 for f.
0
Suppose 148 = 49*y - 97. Solve -y*h + 3*k - 2 = 0, 4*h - 7*h + 4*k - 10 = 0 for h.
2
Suppose -4*i + 12 = 2*h - 6, -6 = -2*h. Suppose -i*k + 7*k = -2*r + 18, -13 = -5*r - 2*k. Solve q = -3*u - 5, r + 1 = -2*u for q.
-2
Let s be (112/48)/(0 + (-3)/(-9)). Suppose 0 = -5*l - 4 + 9, -s = -2*w - l. Solve 5*u - 10 = -i, -2*i - 4 = -w*i + u for i.
5
Suppose -55 + 951 = 4*u. Suppose -4*o = -8*o + u. Let m = o + -40. Solve -m = 3*s - 5*z, 3*s - 2*z = 4*s - 13 for s.
3
Let t(g) = -g**3 + 18*g**2 + 51*g - 217. Let n be t(20). Solve -m - 15 = 4*i, m - 10 = -n*m - 2*i for m.
5
Let q be (((-40)/48)/(12/(-18)))/((-10)/(-120)). Solve 6 = 2*o + 4*h, 0 = 3*o + 2*h + 2 - q for o.
5
Let r(j) = -312*j - 9977. Let k be r(-32). Solve -m - k = -2*a + 4*a, -a = 3*m - 4 for m.
3
Let j = 4 - -1. Suppose -j*z = 3*l - 96, -6*z + z - 2*l + 94 = 0. Suppose 4*y = -2*y + z. Solve -4*d = -y*v + 32, 5*d + 7*v = 3*v - 9 for d.
-5
Suppose 0*u + 5*x - 85 = -5*u, -x = -5*u + 79. Let v be (u/(-64) - (-81)/4)/1. Solve 5*g + v = 0, 3*n = 5*g + 7 + 22 for n.
3
Let b be (-5)/(-10)*(1 + (-5)/(-5)). Let i(s) = 6*s + 9. Let q be i(b). Solve 31 = 2*v - 4*k + 1, -q = -4*v - k for v.
5
Let m be (2/(-4))/(6/168). Let j be (-126)/3*(-3)/((-147)/m). Solve 0 = 2*g - 4*w - 18, -3*w + j = 2*g - 5*w for g.
3
Let r be -6*(-2 - 0)/4. Let s be -3*2/(-12)*(-2)/1. Let i be 141/94 + s/(-2). Solve 0 = -5*h + 4*l + 7, -i*h - r*l = -4*h for h.
3
Let c be -2*3/(-39) - (-840)/(-52). Let j(v) = v**2 + 10*v - 93. Let w be j(c). Solve 2*t + 4 = -5*x, -8 = w*x + x for t.
3
Suppose 0 = -12*f + 1108 - 1048. Solve -f*b + i + 15 = 0, -2*i - 2*i - 28 = -4*b for b.
2
Suppose -s + 3 = 0, -8*a - 3*s - 31 = -3*a. Let w be 52/a*12/(-2). Let p = 47 - w. Solve 0*y - 2*g + 3 = y, -3*g = 5*y - p for y.
1
Let f be 4/(8/(-6)) - (-100)/75*6. Solve -5*d = u + 10, 180 - 165 = -f*d - 2*u for d.
-1
Let h(o) = 3*o + 35. Let b be -1 + (2 + -1 - (-72)/9). Let m be (-86)/b + 8/(-32). Let u be h(m). Solve -1 - 2 = -a - 2*q, -u*a = 2*q + 2 for a.
-5
Suppose 0 = -4*h + 3*h + 2. Suppose -b + 13 = 20*o - 17*o, 3*o + 3*b - 15 = 0. Suppose 0 = 6*g + o*g. Solve 3*z - 6 = g, -p - 2*z + 9 = h*z for p.
1
Let g be (-492)/(-820) + 97/5. Solve 0 = 4*x + 27*w - 31*w - g, -3*w = 2*x for x.
3
Let n(x) be the second derivative of 0 + 1/12*x**4 - 11/6*x**3 + 3*x**2 - 21*x. Let r be n(12). Solve -3*w = -2*b + 3*b - r, 0 = -3*w + 2*b + 9 for w.
5
Suppose 4*a = -4*x + 68, -45 = -4*x + a + 33. Suppose 0 = -3*h - x + 85. Solve n = 6*n - 3*v + 30, 5*v = -n + h for n.
-3
Let i(u) = -2*u**3 - u**2 + 2*u + 2. Let s be i(-1). Let x be 1*(-2 - -6) - s. Solve -5*q - x*o + 1 = -4, -10 = -5*q - 2*o for q.
4
Let a(s) = -4*s**3 - s**2 + s. Let x = -35 + 34. Let c be a(x). Suppose 5*w + 5 = -4*q, c*w - 1 = -4*q + 3*w. Solve q = 4*o - 2*f - 30, 2*f + 5 = -o for o.
5
Suppose 0 = 6*r + 55 - 127. Suppose -r*v + v - 5*v = 0. Solve 4*k + 9 - 3 = -2*n, v = 5*k - 2*n + 30 for k.
-4
Let u be -5 + (-13)/((-91)/21). Let g be ((-2 + -4)/u)/((-23)/(-69)). Solve -16 = z - 2*y - 3, g = -z + y for z.
-5
Suppose 8417*b = 8402*b + 75. Solve 5*d = -b*g - 4 - 6, 2*g - 24 = 5*d for g.
2
Let i(z) = -200*z + 223. Let j be i(1). Solve -j*n + 19*n - 16 = -2*a, -n = 4 for a.
0
Suppose -2*x = -14 + 2. Suppose 2*i + x - 26 = 0. Suppose -7*d = -i - 11. Solve -1 + 9 = d*b + 5*a, 2*b = -2*a for b.
-4
Let y be (-3)/((-6)/52) - (878 + -881). Solve -y*m + 34*m - k + 1 = 0, -16 = 4*m + 3*k for m.
-1
Suppose -4*n = 5*r + 60 - 114, -5*n = -5*r. Solve 0 = -5*q + r*a - 5, 0 = -4*q + a - 4 for q.
-1
Suppose 3*m - 3*p = 202 - 88, p = -2*m + 64. Solve 4*z + 9 = 5*o, -5*z - 1 = -30*o + m*o for z.
-1
Let y be (12/(-21))/((-437)/133 + 3). Solve 0 = -4*b - y*v + 12, -b - v - 14 = -17 for b.
3
Suppose -16 = -z - 3*z, -z = -5*q - 14. Let g be (-1 + 3)/(q/(-1)). Let u = g - -3. Solve h - u*b = -21, 0 = 3*b + 2*b - 20 for h.
-5
Let p(n) = 12*n + 4. Let l be p(2). Let z = -25 + l. Let c = 30 - 20. Solve -b + 2*m = -10, z*m = -b - 0*m - c for b.
2
Let t be ((-3)/6)/(4/(-40)). Suppose 0 = -2*p - 3*p + 10. Suppose 4*x + t*s = -0*x + 17, 5*s = -p*x + 11. Solve 14 = -x*d - w, 3*d + 4*w + 4 = -7 for d.
-5
Let n(o) = -15*o - 5 + 43 - 24*o + 23*o - o**2. Let r be n(-18). Solve 2*p = 2*g - 21 + 5, 0 = 5*p - r*g + 28 for p.
-4
Suppose 156 - 55 = 101*y. Solve -o + 4 = 2*m + 1, 0 = 3*m - 2*o - y for m.
1
Suppose 9*p - 20 + 38 = 0. Let x be (p + 1 - 4)/((-7)/21). Solve d - 2*b - 10 = 4*d, -d + 3*b = -x for d.
0
Suppose 3*p - 2*h - 34 = -22, -2*h = 2*p + 2. Solve 5*v + 13 = -3*x, 3*v - 2 + 10 = -p*x for x.
-1
Let u be (60/132)/((-18)/(-198)). Solve -u*c = 3*i - 34, -254*c + 5 = 5*i - 256*c for i.
3
Suppose 0 = -2*o + 17 - 13. Let b = -70 - -73. Solve -q = -0*q + o*i + 1, -i = -b*q + 18 for q.
5
Let t be (3/(-2))/(3/(-6)). Let l be ((-301)/(-70)*-2 + 9)/((-28)/(-210)). Solve 0 = -t*m + 3*g - 3, -m - 4*g - 9 = -l*g for m.
-5
Let v = -2844 + 2853. Solve 2*s = -3*z + 6, -v = -z - 7 for s.
0
Let s(m) = -64*m - 61. Let v be s(-1). Suppose -5*f + 47 = v*o, 5*o + f - 42 - 73 = 0. Solve 5*c = b, -7*c + 3*c + o = 4*b for b.
5
Suppose -5*n = -129 + 99. Suppose 4 = -4*w - 2*k, k = -n*w + 10*w - 8. Solve -3*t + 4*z = 0, -2*t = -t - z - w for t.
4
Let p = -24 + 28. Suppose 18 = 5*y - 3*k - 25, 4*k = 5*y - 49. Solve 2*j + p*u - 6 = 4, y*u = -4*j + 14 for j.
1
Let i(u) = -3*u**2 - 35*u - 17. Let t be i(-12). Let g(l) = -l**3 - 28*l**2 + 28*l - 26. Let w be g(t). Solve -3*r = -w*p + 12, -3*p + 20 = -4*r - r for p.
0
Let w = 511 + -515. Let t be (-3)/w - 215/(-172). Solve 5*b = -10, 0*c + 4*b = -5*c + t for c.
2
Suppose -21*s - 27 = -26*s - 2*x, -3*s = 2*x - 17. Solve 15 = -4*k - 5*m, m - 12 = k + s*m for k.
0
Suppose 136 = 2*i + 122. Suppose -i*u = 61 - 89. Solve u*s - 2*f = -12, -4*f + 5 = s - 1 for s.
-2
Let u(n) = -1159*n - 4627. Let f be u(-4). Solve c + j = 2, -4*j - 2 = 3*c - f for c.
1
Let h be 2 - (5 + (-6)/2). Suppose 212*q - 211*q - 5 = h. Solve -2*l - 20 = 4*b, l + q = -b - l for b.
-5
Let a = -154 - -164. Suppose -4*d + 66 = -a. Solve -4*z - o + d = 3, 0 = -3*z + o + 12 for z.
4
Let g be (45/105)/(2/14). Suppose 0 = g*p + n - 31, 6 = 4*p - 3*n - 18. Let o be (-10)/(-3)*p/5. Solve -5*u - 2 = 3*d - 28, -2*u + d + o = 0 for u.
4
Suppose -5*p + 3*x = -36, -x - 26 = p - 5*p. Let c be (3 - 6) + -1 + p. Solve 3*g + z - 3 = c*z, -18 = -3*g - 4*z for g.
2
Suppose -12*r = -43*r + 186. Suppose r = 3*u + 5*h, -2*u + 10 = 4*h + 8. | {
"pile_set_name": "DM Mathematics"
} |
ssuming l is positive.
l**(-18/47)
Simplify j**(2/49)/j**(-13/2) assuming j is positive.
j**(641/98)
Simplify ((k/(k/k**0))/(k*k**(2/5)))**(2/7) assuming k is positive.
k**(-2/5)
Simplify (b**(-6)*b*b**(-1)/b)**(-35) assuming b is positive.
b**245
Simplify b*b**3*b**4*b**5*b/b**(3/2) assuming b is positive.
b**(25/2)
Simplify ((m*((m*m*m**(-1)*m)/m)/m)**5)**(-5/9) assuming m is positive.
m**(-25/9)
Simplify f**(-1)/((f*f**(-7)*f)/f)*(f*f**2)/(((f/(f**(-2/25)*f))/f)/f) assuming f is positive.
f**(248/25)
Simplify (j/(j/(j*j/j**30)))**(1/15) assuming j is positive.
j**(-28/15)
Simplify (s**2*s**(6/5))**(2/107) assuming s is positive.
s**(32/535)
Simplify (z**6*z*(z/((z*z**(-7))/z))/z*z)/(z**(1/4))**(1/82) assuming z is positive.
z**(4919/328)
Simplify (h**7)**(22/5) assuming h is positive.
h**(154/5)
Simplify (p/(p*(p/p**(1/4))/p))**(-29/3)/(p**(-1))**(2/61) assuming p is positive.
p**(-1745/732)
Simplify o**3*o*o**(-26) assuming o is positive.
o**(-22)
Simplify (b/(b*b**(2/37)*b*b))/b*b*(b/(b*b**(-6)/b*b*b*b))/b assuming b is positive.
b**(35/37)
Simplify ((m**(-2/3)/m*m)**(-4))**26 assuming m is positive.
m**(208/3)
Simplify (t*t*(t*t**(-21)*t)/t)/(t**(2/45)*t) assuming t is positive.
t**(-857/45)
Simplify (o/((o/(o*o**(-5)))/o))/(o*o/o**31) assuming o is positive.
o**26
Simplify ((((x*x**(2/41)*x)/x)/x)/(x*(x*(x/(x**17*x))/x*x*x*x)/x*x))**(8/5) assuming x is positive.
x**(856/41)
Simplify v**(1/46)*v*v/(v*v**(3/11)*v*v)*v assuming v is positive.
v**(-127/506)
Simplify s/(s**2*s)*s**(-3/7)*s assuming s is positive.
s**(-10/7)
Simplify (y**(2/9)/y*y**(-2/5)*y)/((y*y*y/((y*y**3)/y))/(y/((((y**(-4)/y*y)/y)/y)/y*y))) assuming y is positive.
y**(307/45)
Simplify ((t**(-1/3)*t)/(t*t/t**10*t*t))**(-9/10) assuming t is positive.
t**(-6)
Simplify l**(1/5)/l*l*l/(l/(l*l**0/l*l))*(l**1)**(-20/9) assuming l is positive.
l**(-46/45)
Simplify (g**(-1/10))**(-17) assuming g is positive.
g**(17/10)
Simplify p**(6/5)/(p*p*p**(-5)/p) assuming p is positive.
p**(26/5)
Simplify t**(-2/21)*t/(t*((t**(4/7)*t)/t)/t*t) assuming t is positive.
t**(-2/3)
Simplify ((p*p*p**(2/5))/p)**(-46)*p/(p*(p*p**(-2/7)*p)/p*p)*p**(-10) assuming p is positive.
p**(-2664/35)
Simplify y**9/y*y**(-1/5)*(y/y**(-6))/(y**(-1/12)*y) assuming y is positive.
y**(833/60)
Simplify ((i/(i*i**(1/3))*i*i)**(-40))**(-2/27) assuming i is positive.
i**(400/81)
Simplify ((a/(a*a**2/a))/a*a*a**3)/(a**(-1/3)/(a**(3/7)/a)) assuming a is positive.
a**(37/21)
Simplify (j*j*j*(j**(-15)/j)/j)/j*j*j**(-3) assuming j is positive.
j**(-17)
Simplify l*l**(-6)*(l/((l/l**(-7/3))/l)*l)/l*l assuming l is positive.
l**(-16/3)
Simplify (u/(((u/(u/u**(3/7)*u)*u)/u)/u)*u**(-2/5))/(u**(2/3)/u*u)**(-7) assuming u is positive.
u**(718/105)
Simplify d*d*(d*d**(4/19)*d)/d*d/((d**(1/20)/d)/d) assuming d is positive.
d**(2341/380)
Simplify ((l*l*l*l**(-1/4))**43)**(-1/3) assuming l is positive.
l**(-473/12)
Simplify ((((a/(a**(-8)*a*a))/a)/a*a)/a)**(-3) assuming a is positive.
a**(-15)
Simplify (a*a**2*a**8)**(-3/20) assuming a is positive.
a**(-33/20)
Simplify v**(2/9)*v*(v/(v*v/((v*v**10/v)/v)))/v assuming v is positive.
v**(74/9)
Simplify ((j/(j*j*j**6))/j**(-2/13))**(-25) assuming j is positive.
j**(2225/13)
Simplify (k/(k*k**1))**(-19)/(k/(k**(-3)*k)*(k**(1/5)/k)/k) assuming k is positive.
k**(89/5)
Simplify x**(2/61)*x**(-2/39) assuming x is positive.
x**(-44/2379)
Simplify ((z**3*z)/(z*z/(z*z*z**0*z)))/(z/z**3*z**(-9)*z*z) assuming z is positive.
z**14
Simplify q*q**(-3/5)*(q*q/q**(6/11)*q)/q*q assuming q is positive.
q**(157/55)
Simplify (u**(2/15)/u)/(u**(-18/5)*u*u) assuming u is positive.
u**(11/15)
Simplify (h/(h/(h/(h*h*(h**(-1/3)*h)/h))*h)*h)**42*(h/(h*h/h**(1/2)))**15 assuming h is positive.
h**(-71/2)
Simplify (r**(24/5)*r)/r**31 assuming r is positive.
r**(-126/5)
Simplify (c*c*(c**(-6/7)*c)/c)/(c*c**(8/7)*c) assuming c is positive.
c**(-2)
Simplify n**14*n**(-7/2)/n assuming n is positive.
n**(19/2)
Simplify m*m**15*(m**6*m*m)/m assuming m is positive.
m**23
Simplify s**(-8)/s**(-23) assuming s is positive.
s**15
Simplify (l/(l/l**(-1/3)))**(-16) assuming l is positive.
l**(16/3)
Simplify ((i**(4/7))**(-15/4))**16 assuming i is positive.
i**(-240/7)
Simplify (a*a**(2/15)*a*a/(a/((a**(6/13)/a)/a)))**(-1) assuming a is positive.
a**(-116/195)
Simplify (a**1)**(-1/14) assuming a is positive.
a**(-1/14)
Simplify q**5/q*q*q**3*(q*q**2)/(q/(q**(-1)/q)) assuming q is positive.
q**8
Simplify ((z**(2/3))**34)**20 assuming z is positive.
z**(1360/3)
Simplify (m**16*(m/m**(-10/9))/m)**(-11) assuming m is positive.
m**(-1694/9)
Simplify ((y**3/y*y)**(-5/4))**(-2/17) assuming y is positive.
y**(15/34)
Simplify (k*k/k**(-13)*k)**(-1/15) assuming k is positive.
k**(-16/15)
Simplify (((k*k**(5/2))/k*k*k*k)/k)**13 assuming k is positive.
k**(117/2)
Simplify (y*y/(y/y**(3/8)*y)*y*y*(y*y**1*y)/y)/(y**5/(y/(y/y**(-2)*y))) assuming y is positive.
y**(-29/8)
Simplify (u*u**(-3/5)*u)**(13/4) assuming u is positive.
u**(91/20)
Simplify u*u**(-15)*u*u*u*u**20*u assuming u is positive.
u**10
Simplify i**(-14/11)/i*i*i*i**(2/3) assuming i is positive.
i**(13/33)
Simplify ((r/(r*r*r**(-16)*r*r))/r)/((r**3/r)/r) assuming r is positive.
r**11
Simplify ((s**(-2)*s)/s)/s**(-12/11) assuming s is positive.
s**(-10/11)
Simplify ((q*(q/(q**(-1)*q))/q)/q)**(-2)*q**(3/5)/q**(-1/7) assuming q is positive.
q**(26/35)
Simplify ((y**(-5)*y*y*y)/(y**(-2/25)/y))/(y**(-1))**(1/5) assuming y is positive.
y**(-18/25)
Simplify d**2/d*d/(d/((d*(d*(d**(-2/3)*d*d)/d)/d*d)/d))*d*d**(2/3)/(d**(-10)/d*d) assuming d is positive.
d**14
Simplify (b**(-3)*b*b*b/(b**(-2)/b))/(b**(-2/9)*b**(1/11)) assuming b is positive.
b**(310/99)
Simplify (z**(-1/2))**11*(z*z**(-1)*z*z)**(-10/3) assuming z is positive.
z**(-73/6)
Simplify ((p**(-3/7)*p)/(p*p/(p**(3/11)/p*p)*p))/(p/(p/(p*p**1)))**(-26) assuming p is positive.
p**(3838/77)
Simplify h**20*h**(3/2) assuming h is positive.
h**(43/2)
Simplify ((u*u*u*u**(-1/7)*u)/u**(-2/11))/(u**(-2/3)*u*u**(5/2)) assuming u is positive.
u**(557/462)
Simplify (n/n**(-4))/(n/(n/n**9))*(n*n**(-1))**(-8) assuming n is positive.
n**(-4)
Simplify ((x**(-2/7)*x)/x)**(-24)/(x*x/(x**(-1/2)/x))**(-50) assuming x is positive.
x**(1273/7)
Simplify (g/(g/(g**(-7)/g)))/g*g*g**(3/5)*(g/g**3)/(g*g/(g*g*g/g**(4/5)*g)) assuming g is positive.
g**(-41/5)
Simplify f**(-2/9)/f**(-1)*f*(f/f**(-1/2))/f*f*f*f/(f/f**3) assuming f is positive.
f**(131/18)
Simplify (q**(-1/17))**(-5/6) assuming q is positive.
q**(5/102)
Simplify y**21*y**31 assuming y is positive.
y**52
Simplify (s*s*(s**(1/3)/s*s)/s*s)**(-43)*(s/s**(2/17))/(s**(-7)*s) assuming s is positive.
s**(-4766/51)
Simplify (c*(c**(6/5)*c)/c*c)**(15/11) assuming c is positive.
c**(48/11)
Simplify (u**0)**(3/37)/((u/u**5)/(u**(-6)/u)) assuming u is positive.
u**(-3)
Simplify (r**(-7)*r**(1/4))**(6/7) assuming r is positive.
r**(-81/14)
Simplify (m**(-1/3))**7/(m/(m/((m**(-1)/m)/m)*m))**3 assuming m is positive.
m**(29/3)
Simplify (b*b**11*b/(b/b**(-3/4)))**11 assuming b is positive.
b**(495/4)
Simplify s/(s*s*s**(-3/5)*s*s)*s*s/s**(1/2)*(s**(-1/4)/s)**(-1/57) assuming s is positive.
s**(-1001/1140)
Simplify (b**(2/5))**(-42) assuming b is positive.
b**(-84/5)
Simplify d*d*d/(d*d*d**(-1)/d*d*d)*d*d**(-1/6)/d*d*d**8/((d/d**(-2/7))/d) assuming d is positive.
d**(401/42)
Simplify (x**(2/47)/(x/(x**(-3)/x)))**(-9) assuming x is positive.
x**(2097/47)
Simplify ((p*p**4)/p*p**(-2))/(p**(-3/4)*p**4) assuming p is positive.
p**(-5/4)
Simplify g**(1/12)/(g*g/g**(3/22)) assuming g is positive.
g**(-235/132)
Simplify (t/(t*t*t/(t**(-2/7)/t)*t))/(t*t**(-15/2)*t) assuming t is positive.
t**(17/14)
Simplify (j/((j**(-1)/j*j)/j))**(-2/89)*j**(-2/5)*j**(-2) assuming j is positive.
j**(-1098/445)
Simplify (i**(-1))**(1/7) assuming i is positive.
i**(-1/7)
Simplify (y*y*(y**0/y)/y*y)**(-34)*(y**(-2/5))**(5/9) assuming y is positive.
y**(-308/9)
Simplify g**5/(g**4*g)*(g**(2/9)/g)**(-1/4) assuming g is positive.
g**(7/36)
Simplify (v**(-2/3)/v)**16 assuming v is positive.
v**(-80/3)
Simplify (p*p**40*p*p)**(-2/53) assuming p is positive.
p**(-86/53)
Simplify (((y*y/(y/(y/(y**4*y))))/y)/y**(-3))/((y*y**(-5))/(((y**0/y)/y)/y)) assuming y is positive.
1
Simplify ((t*(t*t/t**(2/7))/t)/((t*t/t**(6/5))/t))/(t**1*t)**50 assumi | {
"pile_set_name": "DM Mathematics"
} |
- 6*l**5 - 6*l**5 + l**5.
-455*l**5
Expand -3*v**3 - 2*v**2 + 2*v**2 + (0*v + 0*v - v**2)*(-v + 0*v + 2*v) + 1169*v - 1169*v - 106*v**3.
-110*v**3
Expand -2*a**2 - 9*a**2 + 2*a + 12*a**2 + (7*a - 2*a - 25*a)*(-3 + 2*a + 3).
-39*a**2 + 2*a
Expand (-88*x + 93*x - 4055*x)*(x - 2*x + 2*x).
-4050*x**2
Expand (-4 + 4 + 2)*(2*i - i + 0*i) + (-18*i + 80*i - 8*i)*(-1 - 1 + 5).
164*i
Expand 314*s - 276*s + 15*s**2 - 39*s + 31 + (-2*s**2 + 0*s**2 + 0*s**2)*(3 - 2 - 3) - 2*s**2 - 1 + 1.
17*s**2 - s + 31
Expand (54*t**3 + 108*t - 108*t)*(-3*t - 3*t + 2*t)*(0 + 1 - 3)*(1 - 3 + 0).
-864*t**4
Expand 0*m - m - m + (4*m + m - 2*m)*(-6 + 3 + 1)*(41 + 53 - 65).
-176*m
Expand (2*x - 2*x - 3*x)*(-401 - 262 - 239)*(0 + 3 + 0) + 3 + 2*x - 3.
8120*x
Expand (-99*w + 99*w - 18*w**2)*(-w + w - 4*w**3) + 16*w**5 + 13*w**5 + 7*w**5 + 15*w**5 - w**5.
122*w**5
Expand (73823 + 63*t**3 - 73839 + 16*t**3)*(t - 2*t**2 - t).
-158*t**5 + 32*t**2
Expand (4*t + 4*t - t)*(90*t**4 + 253*t**4 - 76*t**4).
1869*t**5
Expand 20435*i**2 - 20435*i**2 + 3183*i**3 + (-i**2 + 4*i**2 - i**2)*(2*i - 3 + 3).
3187*i**3
Expand (-2*w**2 + 2 - 2)*(-2*w + 2*w + w) + (3*w - 3*w + 10*w)*(78 - 78 + w**2 - 4*w) - 3 + 3 + 3*w**3.
11*w**3 - 40*w**2
Expand (6 - 3 + 0 + (-4 + 6 - 1)*(3 - 4 - 1) + 0 + 1 + 0 + 4 - 6 - 5)*(6*p**2 + 12 - 12).
-30*p**2
Expand (a + 5*a - 2*a)*(-293*a + 295*a + 192*a).
776*a**2
Expand (2 - 2520*j - 919*j + 517*j - 88*j)*(2 + 0 + 0).
-6020*j + 4
Expand (28 + 0 - 5)*((-2 + 1 + 2)*(-u + 6*u - 4*u) - u + 0*u + 2*u + u - 2*u + 2*u + (2*u + 0*u - u)*(3 + 3 - 4) + 1 - 1 - 2*u).
69*u
Expand (-r**2 + 0*r**2 + 3*r**2)*(-6*r + 0*r + 4*r) - 20603*r**3 + 1935*r**3 - 15669*r**3 - 5987*r**3 - 13760*r**3 + 5539*r**3.
-48549*r**3
Expand s**5 + s**5 - 3*s**5 + (2 - 6 + 2)*(s**2 - s**5 - s**2) + (-1 - 2 - 874*s**2 + 2 + 1)*(4*s**3 - 2*s**2 + 2*s**2).
-3495*s**5
Expand (-7*l - 6*l + 4*l)*(-3280*l + 3280*l + 37*l**2) + l**3 - l**3 - 5*l**3.
-338*l**3
Expand (2483*m**2 + 3 - 94*m - 4967*m**2 + 2487*m**2)*(2*m**3 + 4*m**3 - 4*m**3).
6*m**5 - 188*m**4 + 6*m**3
Expand (-3*d - 7*d + 5*d)*(-d - 2 + 2)*(-4*d**2 - 2*d**2 - 4*d**2).
-50*d**4
Expand -t**4 + 0*t**4 - 2*t**4 + (-14 + 23 + 25)*(-2*t**4 + 7*t**4 + t**4) - 43*t**3 + 43*t**3 + 12*t**4.
213*t**4
Expand (0*d**2 + d**2 + 0*d**2)*(671 + 1696 + 1256)*(-3*d**3 + 3*d**3 + 2*d**3).
7246*d**5
Expand (a - 3*a - 2*a)*((a - a + a)*(0*a**2 - 3*a**2 + 0*a**2) + 4*a**3 - 3*a**3 + 0*a**3 + (-a - 13 + 17 + a**2 - 6)*(-2 + 1 + 0)*(-7*a + 3*a - 3*a)).
-20*a**4 + 28*a**3 + 56*a**2
Expand 31*k - 114*k + 49*k - 105*k + (87*k - 39*k + 115*k)*(1 - 3 + 0).
-465*k
Expand (4 - 4 - 2)*(2*z - 3*z + 0*z) - 2*z + 6*z - 2*z - 2*z + 4*z - z - 2*z + z + 2*z + (1 - 6 + 1)*(3*z - z - z) - 171*z + 341*z + 1586*z.
1758*z
Expand (-2 + 3*b + 2)*(-52 - 88*b + 115*b - 33*b).
-18*b**2 - 156*b
Expand 13*n**3 - 15*n**3 - 28*n**3 - 5*n**3 + 4*n**3 + 3*n**3 - 99*n**3 + 33*n**3 - 46*n**3 + (1 - 1 + 2)*(2*n**3 - 2*n**3 + n**3) - 4 - n**3 + 4.
-139*n**3
Expand (-18 - 4*r + 18)*(2 - 2 + 2*r) + 20*r**2 + 31*r**2 + 6*r**2 - 5*r**2 + 2*r**2 + 0*r**2 + (-1 + 1 - 2)*(2*r**2 - 7*r**2 + r**2).
54*r**2
Expand (4*s - 4*s + 18*s)*(3 - 2 - 3 + (-3 - 4 + 1)*(1 - 2 - 1)).
180*s
Expand (4 + 6*f**2 - 6 + 2 + 19)*(58 - 120 + 77).
90*f**2 + 285
Expand (-819*f + 819*f + 46*f**2)*(-1 + 3 + 0) + (-5*f + 5*f - 2*f)*(-3*f + 6*f - f).
88*f**2
Expand (31*g - 6*g + 15*g)*(-69 + 27 + 35) + (-4 + 4 - 2*g)*(3 + 1 - 3).
-282*g
Expand (14*a - 14*a - 68*a)*(11*a - 156*a - 95*a + 17*a).
15164*a**2
Expand (-53*r**2 + 4*r + 5*r + 54*r**2)*(-2*r - r + 32*r).
29*r**3 + 261*r**2
Expand ((1 + 2*f - 1)*(-6*f + 7*f - 6*f) + (5 - 2 - 1)*(-10 + 10 - 7*f**2) - 5*f**2 + f**2 + 3*f**2)*(-2*f - 2*f + 0*f).
100*f**3
Expand 10 + 5 - 15 - 47*n + (-69 - 70 + 55)*(-2*n - 4*n + 5*n) + n - 5*n + 2*n.
35*n
Expand (-x**4 + x**4 + 2*x**4)*(-x - 3 + 3) + 2378*x**5 - 8*x + 6*x - 1852*x**5.
524*x**5 - 2*x
Expand (-14*w + 21*w - 51*w)*(15 - 28 - 23 - 21 + 10).
2068*w
Expand -z + 5*z - 2*z - 2*z - 12*z + 4*z - 3*z + 0*z + z + (-1 - 3 + 3)*(-7 + 2*z + 7) - 5 - z + 5 - 2*z + 3*z - 2*z + 4 - 2*z - 4.
-16*z
Expand (2*a - 2*a - 2*a)*(4 + 0 - 2) + 1 - a - 1 - 20088 + 20088 - 264*a + (2 - 2 - 1)*(-2*a - 2 + 2*a - 2*a).
-267*a + 2
Expand -4*d**3 + 22 - 294*d**2 + 294*d**2 + (-22 + 22 + 12*d**2)*(-3*d + 5*d - 14*d).
-148*d**3 + 22
Expand q**3 - 4*q**3 + 4*q**3 + (-3 + 3 - 2*q**2)*(2*q + 0*q + 0*q) + 2336 + 2*q**2 + 2343 + 1229*q**3 - 4680.
1226*q**3 + 2*q**2 - 1
Expand (238*f - 266*f + 165*f + 2)*(0 + 1 + 1)*(-2*f**3 - f**3 + 0*f**3).
-822*f**4 - 12*f**3
Expand -9*l**3 + 395*l**3 - 132 + 133 + (0 + 0 + l)*(-3 + 4*l**2 + 3).
390*l**3 + 1
Expand (-266 - 292 + 558 - 3748*v)*(-v + v**2 + v + (v - v - v)*(-6*v + 3*v + 2*v)).
-7496*v**3
Expand (-2251*u + 10741*u + 1 - u**2 - 1058*u)*(u**3 + u**3 + 0*u**3).
-2*u**5 + 14864*u**4 + 2*u**3
Expand (4*x - 3*x - 3*x)*(46 + 15 - 24)*(2*x - 5*x + 2*x) + (-2 + 2 + 3)*(14*x**2 + 9*x**2 - 4*x**2).
131*x**2
Expand (26 - 26 + 5*a)*(-6*a + 4*a - 3*a)*(4 - 3 + 1)*((-1 + 1 + 1)*(2 - 2 + 1) + 2 + 1 - 4 + 0 + 2 - 3).
50*a**2
Expand (-k - 3*k + 6*k)*(6 + 0 - 1) + (0 - 1 + 2)*(-2 - 2 + 2)*(818 - 818 - 17*k).
44*k
Expand (4 + 0 + 0)*(1827*g - 68261 + 78*g + 68263).
7620*g + 8
Expand (-k**2 - 4 + 7*k**2 + 1)*(-5 - 1 + 4)*(-31 - 30 + 60)*(k - 3*k + k).
-12*k**3 + 6*k
Expand (2296*c - 4148*c - 4836*c + 2 - 2 + 869*c)*(11*c - 13*c - 14*c).
93104*c**2
Expand -z + z - 3*z**4 + (-2*z**3 + 4*z**3 - 4*z**3)*(3*z + 9*z - 10*z).
-7*z**4
Expand (8 - 2*v - 4 - 5)*(584 - 101 + 955)*(-2 + 2 - 1)*(3 - 4 - 2*v + 2).
-5752*v**2 + 1438
Expand 2*m - 3*m + 0*m + (m - 5*m + m)*(13 + 35 - 3) + (3*m + 3*m - 4*m)*(4 - 1 - 4) - 2*m + m - m.
-140*m
Expand (-308*a - 59*a**3 + 308*a)*(60 - 60 + 15*a**2).
-885*a**5
Expand (-1448 + 16783*c + 4112*c + 1448)*(3*c - 6*c + c + (-1 - 2 + 2)*(2*c + 2*c - 2*c) + 2*c + 0*c - 4*c).
-125370*c**2
Expand (b - b - 2*b + (-2 - b + 2)*(-2 + 0 + 4) + b + b - 4*b)*(6*b**3 + 31*b - 58088 + 58088).
-36*b**4 - 186*b**2
Expand (-3 + 2 + 2)*(12*k**4 + 17*k**4 - 14*k**4)*(-445 + 200 + 216).
-435*k**4
Expand ((-128*i + 43*i + 37*i)*(1 - 3 - 2) - 5*i + i + 3*i)*(-5 + 0 + 4).
-191*i
Expand -5*m**5 - 5*m**5 + 0*m**5 + (2*m**4 - 6*m**4 + 3*m**4)*(2*m - 2*m + m) - 124*m**5 + 116*m**5 - 211*m**5.
-230*m**5
Expand (-d**3 + 2*d - 2*d)*(-2 + d + 2)*(-2*d + 6*d - 3*d)*(-2 + 5 - 2) + 2178*d**3 - 710*d**5 - 2178*d**3 + (0*d**4 - d**4 - d**4)*(d + 0 + 0).
-713*d**5
Expand -2*m**3 + m**3 + 2*m**3 + (m - m + m)*(3*m + 2 - 2)*(-25 + 25 - 38*m + (4 - 4 - 2)*(-m - 2*m + m)).
-101*m**3
Expand (-2 + 2*v + 2)*(4 - 4 - 1) - 34*v + 114*v + 233*v + (-2 + 4 - 4)*(5 - 5 - v).
313*v
Expand -6*m**2 - 6*m**2 + 7*m**2 + (4 - 2 - 3)*(5 + 0 - 3)*(4723*m - 31*m**2 - 4723*m - 3).
57*m**2 + 6
Expand (-1 + 2 + 1 + 0 - 2 + 0 + (1 - 4 + 1)*(3 + 1 - 5) - 4 + 0 + 2 - 4 + 5 - 4)*(14*o + 2*o + 2*o)*(-8*o + 8*o - 2*o**2)*(0 + 0 + 3).
324*o**3
Expand -564*s - 1579*s - 1796*s - 2020*s + 159*s + 1170*s + (-2*s + 1 - 1)*(-2 + 15 + 7).
-4670*s
Expand (9*s**3 - 219*s**4 + 8*s**4 - 7*s**3)*(-16*s + 3*s - 17*s).
6330*s**5 - 60*s**4
Expand (-36*n + 70*n + 190*n)*(4 - 4*n - 4)*(0*n + 8*n - 2*n).
-5376*n**3
Expand (3*s - 6*s + 2*s)*(1 + 1 - 1)*(3 - 1 + 3)*(1 - 3 + 1)*(5*s - 3*s + 0*s)*(2 - 2 + s**2).
10*s**4
Expand (3*n**2 + 3*n**2 - 8*n**2)*(3*n**2 + n**3 + n**2 - 2*n**2 + (1 - 1 + 2*n)*(-388*n**2 - 452*n**2 + 250*n**2)).
2358*n**5 - 4*n**4
Expand (494*d - 494*d + 174*d**4)*(6 + 1 - 3)*(3 + 1 - 2).
1392*d**4
Expand (-33*h**2 + 45*h**2 + 560*h**2)*(0*h**2 - 9*h**2 + 2*h**2).
-4004*h**4
Expand (87*d**2 + 442*d**2 - 41*d**2)*(1 + 2 + 0)*(-1 + 0 + 2).
1464*d**2
Expand (325210 - 325210 + 560*a)*(-5 + 2*a - 3 + 7)*(-a**2 + a - a).
-1120*a**4 + 560*a**3
Expand 1 - 1 - 2*a + (3 - 6 + 4)*(-a + 3 - 3) - a + 3*a - a - 21*a - 20 + 20 - 1 - 3*a + 1 + (-4*a + 0*a + 5*a)*(-1 - 2 + 1) + (0 + 3 - 1)*(2*a - 1 + 1).
-24*a
Expand (6*v**4 + 275*v**4 + v**4)*(2 - 2 + 1)*(-3 - 2 - 3).
-2256*v**4
Expand (1 + 4 - 2 + (-1 - 5 + 5)*(-2 - 2 + 3) - 3 + 4 - 2)*(66*b + 124 - 124).
198*b
Expand (22*j**2 + 96*j - 96*j)*(-7*j - 4*j + 2*j)*(-2 - 2 + 1).
594*j**3
Expand -3*j**3 - 3*j**3 - j + 5*j**3 + j - j + 2*j**3 + (-j**3 + 4*j**2 - j**3 + 5*j**2)*(0 + 4 + 6).
-19*j**3 + 90*j**2 - j
Expand (2 - 4 + 0 + (1 - 2 + 2)*(-1 + 1 - 1) + 3 | {
"pile_set_name": "DM Mathematics"
} |
late the highest common factor of m and 120.
24
Let b be (2340/(-135))/(4/(-18)). What is the greatest common divisor of b and 13?
13
Let w(i) = -40*i + 104. Let b be w(0). What is the greatest common factor of b and 169?
13
Suppose -81 - 147 = -2*p + 3*m, 3*m = 4*p - 450. Calculate the greatest common factor of 37 and p.
37
Let r(l) = 4*l**2 + 26*l - 25. Let x be r(-8). Calculate the highest common factor of 4 and x.
1
Let c(x) = x**2 - 10*x + 18. Let t be c(9). Let h be (-40)/45*t/(-2). What is the greatest common divisor of h and 14?
2
Let i(w) = -3*w**3 + 10*w**2 + 14*w + 23. Let l be i(-3). What is the greatest common divisor of 8 and l?
8
Suppose 497 - 1667 = -5*i. What is the highest common factor of i and 18?
18
Let w = 915 - 864. What is the highest common divisor of 187 and w?
17
Let h = 6 + -26. Let f be (h/(-6) - (-3)/(-9)) + 27. Calculate the highest common factor of f and 15.
15
Let h(t) = t + 31. Let g be h(49). Calculate the greatest common divisor of g and 304.
16
Let m = -902 - -937. Suppose 2*c + 3*d - 23 - 13 = 0, -3*c = -d - 43. What is the highest common factor of c and m?
5
Let x be ((-528)/20)/((-3)/10). Suppose 2*v + 2*o - 24 = 0, -2*v = -0*v + 4*o - 16. Suppose -v = -c - c. Calculate the greatest common divisor of c and x.
8
Let i = 103 + -20. Calculate the greatest common factor of 913 and i.
83
Let q be 3/24 - -54*(-5)/(-16). What is the highest common factor of 697 and q?
17
Suppose -5*y + 3*k + 111 = 0, k + 2*k = -2*y + 57. Suppose -y = -3*v - 3*v. Suppose v*r = 9*r - 390. What is the greatest common divisor of 52 and r?
26
Suppose -5*i + 5 = -4*i. Suppose -4*q = 3*r - 1276, -i*r - 5*q + 2140 = -q. Calculate the greatest common factor of r and 16.
16
Suppose -5*o - 2*r - 621 = 282, 3*r - 908 = 5*o. Let s = 280 + o. Calculate the greatest common factor of s and 9.
9
Let r(t) = 25*t**3 - 3*t**2 + 2. Let k be r(-2). Let x be (-6)/4 + k/(-12). Let n be 8 - -1 - 2/2. Calculate the greatest common factor of n and x.
8
Let w(j) = 2*j**2 + j - 6. Let i be w(-3). Suppose -y + 29 = i. What is the greatest common factor of y and 30?
10
Let a(k) = k**2 - 3*k - 7. Let p be a(3). Let d be (p + 2)*3/(-15). What is the highest common factor of 11 and d?
1
Let h(c) = 3*c + 111. Let p be h(47). What is the greatest common divisor of p and 54?
18
Suppose -4 = -6*y + 14. Suppose -i + 537 = -3*k, -557 = y*i - 4*i - k. Let n be 2/7 - i/(-28). What is the highest common factor of n and 30?
10
Suppose 4*u - 216 = 40. Suppose 2*l - u = -0*l + 2*o, 0 = 3*o + 15. What is the greatest common divisor of l and 27?
27
Suppose 5*h + 137 - 2605 = -c, 1963 = 4*h - 3*c. What is the greatest common divisor of 17 and h?
17
Suppose -33*q = -2444 - 658. Calculate the greatest common divisor of q and 470.
94
Suppose 0 = -3*i - h + 575, 383 = 2*i - 0*h + h. What is the highest common factor of 12 and i?
12
Let d be 3 - (3/(-2) + 1671/(-2)). Calculate the greatest common divisor of d and 20.
20
Let h = -12 - -13. Let c(r) = -72 + 37 + 105*r**2 + 34. Let y be c(h). Calculate the greatest common factor of y and 13.
13
Let i(q) = 6*q**2 - 24*q + 7. Let b be i(4). Calculate the highest common divisor of 4 and b.
1
Let h(c) = 4*c - 3. Let s be h(2). Let n(k) = 1 - 3 + 0 - 4 + k. Let m be n(7). Calculate the highest common divisor of m and s.
1
Let w = 3 - -114. Calculate the highest common factor of 36 and w.
9
Let x = -734 + 844. What is the greatest common divisor of x and 165?
55
Let z be 4/(-22) + 114/22. Suppose z*s = 8*s - 45. Calculate the greatest common divisor of s and 165.
15
Let j(u) = u**3 + 8*u**2 - 13*u - 16. Let p be j(-9). Suppose -3*n - 2*f = -p, 0 = -3*n + 9*f - 4*f + 13. What is the highest common divisor of 24 and n?
6
Let c(i) = -10*i**3 + 21*i**3 - 10*i**3 + 5*i**2 - i. Let l be c(-5). Suppose 1121 = l*w + 406. Calculate the highest common divisor of 13 and w.
13
Let k = -118 - -190. Suppose y - 13 = s, 3*y - s + 0 = 49. Calculate the greatest common factor of y and k.
18
Suppose -3*t + 5 = -4*t. Let u(h) = h**3 + 7*h**2 - h - 16. Let l be u(t). Calculate the highest common factor of 13 and l.
13
Suppose -c + 1429 = -w, 4*w - 8*w + 8 = 0. Calculate the highest common factor of 53 and c.
53
Suppose -2*u + 0*u = -140. Let i be (-6 + 9 + 6/(-2))/(-1). Suppose i = -5*t + 5, 2*b - 5*t - 1 - 22 = 0. What is the greatest common factor of b and u?
14
Let b be (-14)/(-4) - (-4)/(-8). Suppose b*h + 460 = 7*h. Let c(x) = 2*x + 58. Let y be c(-6). What is the highest common factor of h and y?
23
Let i(j) = 14*j**3 + 2*j**2 - j + 2. Let v be i(3). Calculate the greatest common factor of v and 79.
79
Let d be ((-450)/(-54))/(1/3). Suppose 20*l - d*l = -95. Suppose i + 62 = u, 0 = 5*u + i - 281 + 1. What is the highest common divisor of u and l?
19
Suppose -290*u - 1632 = -294*u. Calculate the greatest common factor of u and 8.
8
Let v(n) be the second derivative of -n**3/2 - 13*n**2/2 + 2*n. Let l be v(-6). Suppose l*u - 65 = 160. What is the greatest common factor of 5 and u?
5
Suppose -11 = 7*t - 669. Suppose t = 4*k - 1226. Calculate the highest common divisor of k and 30.
30
Let w be (17 + -34)/((-4)/3 + 1). Let p = 73 - w. What is the greatest common divisor of 154 and p?
22
Let o be (((-10)/(-4))/1)/(43/688). Let s(q) = 6*q + 46. Let m be s(9). What is the greatest common divisor of o and m?
20
Suppose -w + 2340 = -2*z, 7020 = 3*w - 0*w + 4*z. Calculate the highest common factor of w and 18.
18
Suppose r - 1 + 5 = 0. Let l be 60/(-9) - r/6. Let c(o) = -o**2 - 8*o - 9. Let t be c(l). Calculate the greatest common factor of t and 27.
3
Let k be ((-15)/(-10))/((-2)/128). Let x = k - -160. What is the highest common divisor of 8 and x?
8
Let v be (11/(-3) - 0)/((-4)/852). What is the greatest common factor of v and 33?
11
Suppose -2*d + 5*d = 5*c + 230, -d + 88 = 4*c. What is the greatest common divisor of 460 and d?
20
Let i(c) = 2*c**3 - 3*c**2 - 7*c - 1. Let x be i(4). Let r = 56 - x. What is the greatest common divisor of r and 1?
1
Let b(m) be the third derivative of m**6/120 - m**5/6 + 13*m**4/24 - 11*m**3/3 + m**2. Let k be b(9). What is the highest common divisor of k and 70?
14
Let w = -92 - -176. What is the highest common factor of 12 and w?
12
Suppose 88 + 53 = 47*h. What is the greatest common divisor of 4 and h?
1
Let v = -234 - -255. What is the greatest common factor of 15 and v?
3
Let j = 31 - 7. Let b be ((-16)/(-2))/(6/j). Suppose -m = m - b. What is the greatest common divisor of 80 and m?
16
Let j(a) = 9*a**2 - 2*a + 1. Suppose -3*d = -2 - 13. Suppose 0 = -6*u + u + d. Let z be j(u). Calculate the highest common factor of z and 32.
8
Let p be 24/28*(-4 - (-33)/3). Calculate the greatest common divisor of p and 105.
3
Suppose -4*x = -2*x - 40. Suppose 0*o + 420 = 4*c - 5*o, 284 = 3*c + 4*o. Calculate the highest common factor of c and x.
20
Suppose 4*a + 4*y + 6 = -10, 4*a - 3*y + 51 = 0. Let u be (a/(-4))/(15/2360). Suppose -5*f = -u - 21. What is the highest common divisor of 30 and f?
15
Let b = 1989 + -1946. What is the highest common divisor of 2021 and b?
43
Suppose 31 + 7 = 2*l. Suppose 10 = -0*u + 2*u. Suppose 0 = g + 4*x + 8, 2*x = -5*g - u + l. Calculate the highest common factor of 20 and g.
4
Let g = 155 + 54. Suppose -131 = -4*i - 5*c + g, 4*c + 16 = 0. Calculate the highest common divisor of 10 and i.
10
Let t = 334 + -477. Let i = -73 - t. What is the greatest common divisor of i and 14?
14
Let h = 169 - 152. Calculate the greatest common factor of 119 and h.
17
Let f(c) = c**3 - 6*c**2 - 34*c - 11. Let u be f(11). Let j = 104 - 16. What is the greatest common factor of j and u?
44
Suppose -14 = -5*i + 2*n, 3*i = i - 3*n - 2. Suppose -28*f + 383 = -9*f + 117. What is the greatest common factor of i and f?
2
Suppose -5*c = -12*c + 28. Suppose 22 = 5*s + 2*m, 2*s - 2*m + 4*m = c. Calculate the highest common factor of s and 48.
6
Let g = -25 - -35. Suppose 5*j - g = 2*n, -5*j + 4*n - 11 = -31. Suppose -4*h + 880 = -j*h. What is the greatest common divisor of h and 20?
20
Let u be -1 - (3 + (5 - -3)). Let f be ((-1)/(-3))/((-2)/u). Suppose -4*y = -f*z - 44, -2*z = y - 0 - 11. What is the greatest common factor of y and 77?
11
Suppose 3*x = -416 + 701. Calculate the highest common factor of 171 and x.
19
Suppose 0 | {
"pile_set_name": "DM Mathematics"
} |
respect to b.
47655554*b
Find the first derivative of 6424*k**2 - 943*k + 14337836.
12848*k - 943
Find the third derivative of -5671876*f*u**3 - 51484*f*u - 123*u**2 wrt u.
-34031256*f
Find the third derivative of -348916011*o**6 - 493890*o**2 + 12.
-41869921320*o**3
Find the third derivative of -183529157*y**4 + 73257882*y**2 wrt y.
-4404699768*y
Find the second derivative of 18*k*r**3 + 10*k*r**2 - 3*k*r + 2752*k - 28*r**3 - 9*r**2 - 6 wrt r.
108*k*r + 20*k - 168*r - 18
What is the third derivative of 1905*i**6 - 8385*i**4 - i**3 + i**2 - 2424519*i + 2?
228600*i**3 - 201240*i - 6
Differentiate 525*j**2*q - 102*j**2 + 13*j*q + 6423044*q with respect to j.
1050*j*q - 204*j + 13*q
Find the third derivative of -5145899*k**4 - 34*k**3 - 144709251*k**2 + 3.
-123501576*k - 204
What is the second derivative of -9003326*i**3 - 83329164*i wrt i?
-54019956*i
Find the second derivative of -1153*f**2*t**2 - 748884*f**2*t + 3065*f*t**2 + 11*f*t + 4*t**2 wrt t.
-2306*f**2 + 6130*f + 8
What is the derivative of 686018913*b*c + 52*b - 1036776 wrt c?
686018913*b
Find the first derivative of 2*h**2*r + 8385*h**2 - 6*h*r + 11372*h + 9485017*r - 1 wrt r.
2*h**2 - 6*h + 9485017
What is the derivative of -406296455*k**2 - 111035790 wrt k?
-812592910*k
Find the second derivative of -143906*p**4 + 6*p**3 - 2*p**2 + 5813008*p + 23.
-1726872*p**2 + 36*p - 4
What is the second derivative of 45937633*c**2 + 9989093*c wrt c?
91875266
What is the second derivative of -1388*b**5 - 25783*b**2 - 278394092*b wrt b?
-27760*b**3 - 51566
Find the second derivative of 9175156*u**4 - 5152*u + 24.
110101872*u**2
What is the third derivative of -326*s**3*u + 1439*s**3 - 611*s**2*u + 107*s**2 wrt s?
-1956*u + 8634
What is the second derivative of 217585477*w**3 - 89240938*w?
1305512862*w
What is the second derivative of 311*j*w**5 - 4*j*w - 40138*j - 14*w**5 + 3*w**2 - 10*w wrt w?
6220*j*w**3 - 280*w**3 + 6
What is the second derivative of 15*g**3*x*y + 8*g**3 - g**2*x*y + 7*g**2*x - 40*g*x*y - g*x + 179*g*y + 17*x*y + y wrt g?
90*g*x*y + 48*g - 2*x*y + 14*x
What is the third derivative of 15883772*t**3*z - 170*t**2*z + 2*t*z + 2385*z wrt t?
95302632*z
Find the third derivative of 1428925*k*o**3 + 47*k*o**2 - k*o - 81*k - 2*o**2 - 35*o wrt o.
8573550*k
What is the second derivative of 67*k**3*z + 4193*k**2*x*z - 5*k**2 - 2*k*x*z - 2*k*z + 4644864*x wrt k?
402*k*z + 8386*x*z - 10
Find the second derivative of -1124155691*o**3 - 3629274*o - 2 wrt o.
-6744934146*o
What is the first derivative of -q**4 + 127*q**3 + 517442*q - 460786276?
-4*q**3 + 381*q**2 + 517442
What is the third derivative of 18179451*d**5 + 1614254*d**2 + d wrt d?
1090767060*d**2
Find the second derivative of 776434*c**5*o + 2*c**4*o**3 - 142555*c*o - c - 3*o**3 - 3 wrt c.
15528680*c**3*o + 24*c**2*o**3
What is the third derivative of -46991*p**4 + 27*p**3 - 30*p**2 + 6096*p - 5?
-1127784*p + 162
Differentiate -105716561*l**4*v - 97826372*v with respect to l.
-422866244*l**3*v
Find the third derivative of -62979153*d**3 + 9*d**2 + 2*d - 48290.
-377874918
Find the second derivative of 136242044*h**2 + 89*h - 208640 wrt h.
272484088
Find the second derivative of -2589*m*x*y**2 - 144*m*x*y - 13*m*x - 5896*m*y**2 + 4*m*y - 2*m - 27*x*y + 2*x + 19 wrt y.
-5178*m*x - 11792*m
What is the derivative of 22712124*o**4 - 4*o**3 - 478548060?
90848496*o**3 - 12*o**2
Find the third derivative of -41464*v**5 - 51*v**4 - 17228*v**2 + v + 490 wrt v.
-2487840*v**2 - 1224*v
Differentiate -4*h*t**2 - 804125*h + 624277*t**2 - t wrt h.
-4*t**2 - 804125
What is the second derivative of 241777580*b**2*v**3 - 2*b*v**3 - 113*b*v**2 + 62*b*v - 20*b + 3*v**3 - 4 wrt b?
483555160*v**3
What is the third derivative of -9*y**4 - 4614707*y**3 - 28*y**2 - 200*y + 2998 wrt y?
-216*y - 27688242
What is the first derivative of -97*j*k*t - 9234*j*k - 32*j*t - k - 2530*t + 5 wrt k?
-97*j*t - 9234*j - 1
Find the third derivative of -1327870*o**3*w**2 + 2*o**3 - 55*o**2*w**2 - 782*w**2 + 23 wrt o.
-7967220*w**2 + 12
What is the third derivative of 15169*m**3*p**2 - 5591*m**3 + 128450*m**2*p**2 - 2*m**2 + 21*m*p**2 wrt m?
91014*p**2 - 33546
What is the derivative of -466*d**2*z**3 - 3*d**2*z - 146*z**3 - 79*z**2 - 34*z wrt d?
-932*d*z**3 - 6*d*z
Find the second derivative of 97780465*p**4 + 2*p**3 + 28948*p + 5566.
1173365580*p**2 + 12*p
Find the second derivative of -2*a**2*u**2*x + 77*a**2*u*x + 61629*a*u**2*x + 6259*a*u*x wrt u.
-4*a**2*x + 123258*a*x
What is the third derivative of 196550617*k**3 + 2*k**2 - 5052*k - 2863?
1179303702
Find the second derivative of 7*n*r*x**2 + 4*n*r*x - 1275*n*x**2 - 2*n*x + 80*r*x**2 + r*x - 7165*r + 3*x**2 + 30*x - 2 wrt x.
14*n*r - 2550*n + 160*r + 6
What is the derivative of -3717951*t**2 - 24265220 wrt t?
-7435902*t
What is the second derivative of 265*l**3 + 131623*l**2 + 143640670*l wrt l?
1590*l + 263246
What is the second derivative of -406521781*b**3 + 419324604*b wrt b?
-2439130686*b
Find the third derivative of 40*b**5 + 20*b**4 - 1489*b**3 - 160*b**2 + 5687*b.
2400*b**2 + 480*b - 8934
Differentiate s**2*w + 7*s**2 - 382*s*w - 8*s + 3839468*w wrt s.
2*s*w + 14*s - 382*w - 8
What is the first derivative of -d*j**2*r - 4*d*j*r - 63000*d*j + j**2*r + 3446091*j*r wrt d?
-j**2*r - 4*j*r - 63000*j
Find the third derivative of -3*i**4 + 1153079*i**3 + 2446894*i**2.
-72*i + 6918474
What is the third derivative of 62318221*f**4 + 27550520*f**2 wrt f?
1495637304*f
What is the derivative of -2437057*i**4 - 498072?
-9748228*i**3
Find the third derivative of -2*u**5 - 2*u**4 - 147828*u**3 + u**2 - 518*u - 5.
-120*u**2 - 48*u - 886968
Find the first derivative of -69984740*h - 121388398 wrt h.
-69984740
What is the derivative of 776900*h*m**2 - 13*h + 7*m**2 + 2865323 wrt h?
776900*m**2 - 13
What is the second derivative of -2768349*g**2*r - 67*g - 441*r + 24 wrt g?
-5536698*r
Differentiate -94604381*p + 119163269 with respect to p.
-94604381
Differentiate s*v**4 + 1572560*s*v**3 - s - 27157584 with respect to v.
4*s*v**3 + 4717680*s*v**2
Find the first derivative of -3*t**4 - 674960*t**3 + 14*t - 372135374.
-12*t**3 - 2024880*t**2 + 14
Differentiate -1905*j**4 - 17*j**3 - 3*j**2 - 4*j + 6187794 with respect to j.
-7620*j**3 - 51*j**2 - 6*j - 4
Find the second derivative of 3*c**5 + 19*c**4 - 147*c**3 - 2*c**2 + 54*c - 136407 wrt c.
60*c**3 + 228*c**2 - 882*c - 4
Differentiate 5157951*b + 7473283 with respect to b.
5157951
Find the third derivative of -3944*d**4*h**2 + 123*d**3 + 185*d**2*h**2 + 752*d**2 - d + 3*h**2 wrt d.
-94656*d*h**2 + 738
What is the third derivative of -2123370*c**4 + 4901*c**2 - 91*c?
-50960880*c
Differentiate 318093*d**2*x - 2*d**2 - 35*d*i*x - 24198*i - 2*x**2 + 801 with respect to x.
318093*d**2 - 35*d*i - 4*x
Find the second derivative of 75219467*a**2 + 712531743*a.
150438934
What is the first derivative of -19*k**2 + 19668143*k + 77674989?
-38*k + 19668143
Find the second derivative of -320892926*j**2 + 1088620300*j.
-641785852
Find the first derivative of 566712047*t - 33814160 wrt t.
566712047
Find the second derivative of 105*n*r + 43712*n*y**2 + n - 108*r**2*y**2 - 38*r**2*y + 109*y wrt y.
87424*n - 216*r**2
What is the second derivative of 778430*p**2 + 11166963*p?
1556860
What is the first derivative of 440*a*r*t + 220*a*t*u + 61*r*t*u + 19*t*u + 10*u wrt a?
440*r*t + 220*t*u
Find the third derivative of 13*f**5 - 369662*f**3 + 10411485*f**2.
780*f**2 - 2217972
What is the derivative of 323249*x**2 + 37*x + 140797978?
646498*x + 37
What is the first derivative of 17*n**2*p**2 + 3264*n*p**2 + 2152*p**2 + 653 wrt n?
34*n*p**2 + 3264*p**2
What is the second derivative of -213955916*i**3 - 116874361*i?
-1283735496*i
What is the derivative of 18*q**3*u + 767879267*q**3 - 2*q**2*u + 245930*u**2 wrt u?
18*q**3 - 2*q**2 + 491860*u
Find the third derivative of -32144*r**3*t - 264*r**3 - 62*r**2*t - 2*r**2 + 2*r*t - 599*r + 92*t wrt r.
-192864*t - 1584
Find the third derivative of 836*b*m**4 - 52*b*m**3 + 76*b - 28*m**4 + m**3 + 197121*m**2 wrt m.
20064*b*m - 312*b - 672*m + 6
What is the third derivative of 109268846*v**3 + 3627962*v**2 wrt v?
655613076
Find the first derivative of 6*q**4 - q**3 - 182114*q**2 - 12210087.
24*q**3 - 3*q**2 - 364228*q
What is the second derivative of -95*a**3*v* | {
"pile_set_name": "DM Mathematics"
} |
b
Which is the closest to 6? (a) 44 (b) 0.3 (c) -11
b
Which is the closest to 0? (a) 19 (b) -2 (c) -3 (d) 0.1 (e) 36
d
Which is the nearest to 4? (a) 3 (b) -10/11 (c) 37 (d) -3/7
a
What is the nearest to -0.2 in -2, -1/177, 0.2, -2/7?
-2/7
Which is the closest to 0.1? (a) 1 (b) 2445 (c) -2/11
c
What is the nearest to 2/3 in -8, 3, 0.04, -0.0351, -1/9?
0.04
Which is the closest to 3.43? (a) 2 (b) -2/11 (c) 2391
a
What is the closest to 1/5 in -0.3, -5, 62/9?
-0.3
Which is the closest to 0.4? (a) -5 (b) -76 (c) -0.4
c
What is the closest to -3/8215 in 2, 5, -0.5, -0.2?
-0.2
Which is the nearest to -2/39? (a) -1/16 (b) 1 (c) -148
a
What is the closest to -21 in 0.5, -0.8, -24, 2?
-24
What is the closest to -1 in -2, 5/3, -797?
-2
What is the closest to 0 in 0.25, 2, -5, -0.4, 573?
0.25
What is the nearest to 2 in -145, 364, -0.09?
-0.09
Which is the nearest to -0.2? (a) 3/5 (b) -2576 (c) 0.06 (d) 3/8 (e) 1/2
c
Which is the closest to 5? (a) 0.5 (b) 5 (c) 12.02 (d) 2
b
Which is the closest to -1/4? (a) -202 (b) 0.2 (c) 3 (d) 2/11
d
Which is the nearest to 1369? (a) 1/4 (b) 2/7 (c) -5
b
Which is the nearest to -35.6? (a) 4 (b) 1 (c) 2
b
What is the closest to -0.26 in 0.4, -12/781, 1/3, -1/4, 0.3?
-1/4
What is the closest to -1 in 4, -0.7, -0.4, -0.2?
-0.7
What is the closest to -10 in 408, -6, -5?
-6
Which is the closest to 1/4? (a) 3/8 (b) 0.006 (c) 6 (d) -1/24
a
What is the closest to -4 in 0.1, 2/11, -0.11, -2/5?
-2/5
What is the closest to -0.3 in -2, -3/4, -0.4888, -3?
-0.4888
Which is the closest to -14? (a) 0.079 (b) -3 (c) -2/5 (d) 0.3
b
What is the closest to 0 in 16081, 2, -4?
2
What is the closest to -1 in -3, 5, -0.298, -0.29?
-0.298
Which is the nearest to 7? (a) -4/3 (b) 0.4 (c) -4 (d) -7905 (e) -2
b
Which is the nearest to -426? (a) -0.2 (b) -123 (c) 0.5 (d) 0.9 (e) 0.4
b
What is the nearest to 7 in 1, -0.5, -0.4, 1.23?
1.23
Which is the nearest to -5? (a) -4 (b) 7/30 (c) -3/5 (d) 9
a
Which is the nearest to -0.1? (a) 11/2 (b) 0.3 (c) -3 (d) 179/7
b
What is the nearest to 1/3 in -2/15, -3/5, 17, -17, -4/5?
-2/15
Which is the closest to 2? (a) 4/9 (b) 1 (c) -2 (d) 42 (e) 0.1
b
Which is the closest to -0.1? (a) -0.8 (b) 0.3 (c) -4 (d) -101 (e) -1
b
What is the nearest to -5 in 6/13, -4, -2, 13, 1/4?
-4
Which is the nearest to -1/13? (a) 0.037 (b) 2/7 (c) 3 (d) -2 (e) -1
a
What is the closest to 0 in -265, -1/2, -2, -1?
-1/2
Which is the nearest to 0.1? (a) -7 (b) -1/204 (c) -1/12
b
Which is the nearest to 3? (a) 2 (b) -4 (c) 27 (d) -155 (e) 0.4
a
What is the closest to -3 in 4, 1401, -3, 4/3, 1/9?
-3
Which is the nearest to -0.2? (a) -1/8 (b) 2.1 (c) -66 (d) 1 (e) -2
a
Which is the nearest to 2/19? (a) -0.01 (b) 0 (c) 2/15 (d) -1.8 (e) 3/5
c
Which is the nearest to 0.2? (a) 5 (b) -0.4 (c) 4/155 (d) -4 (e) 0.1
e
What is the closest to -0.08 in 0.12, 9, 1?
0.12
What is the nearest to 0.9 in 4, 3.1, -1/5?
-1/5
Which is the closest to -32? (a) 0.2697 (b) 0 (c) 4
b
What is the nearest to 0 in 0.06, 1.7, 6?
0.06
What is the nearest to 12 in 1, 144.5, -1/6?
1
What is the closest to 129 in 13, -0.1, -1.1, -1, 0.2?
13
Which is the nearest to 1/3? (a) 0.1 (b) 1.3 (c) 23009
a
What is the closest to 0.6 in 0.3, -41038, 3, 0?
0.3
Which is the nearest to -4? (a) -2/3 (b) -2 (c) 8.9 (d) 3
b
What is the nearest to -0.1 in 0.4, 8, -0.077, 2/11?
-0.077
What is the closest to 0 in 20, -5, 0, 2, -9?
0
Which is the nearest to 0.19? (a) 5 (b) -1/10 (c) 0.4 (d) -0.2 (e) 3/31
e
Which is the closest to -0.12? (a) -5 (b) -3 (c) 0.2 (d) 17 (e) -0.8
c
Which is the closest to 10? (a) 1 (b) -3 (c) 12.66
c
Which is the closest to -2? (a) -0.1 (b) -0.06729 (c) -0.2
c
What is the closest to 0.2 in 0.1579, -1/6, -3?
0.1579
What is the closest to -1/3 in -17, -2/5, 19, -5, 1/25?
-2/5
What is the closest to 44 in 1.4, 2/7, 1, -2/7?
1.4
Which is the closest to -0.104? (a) -4 (b) 1/8 (c) 25/3 (d) 6
b
What is the closest to -30 in -2, 0.5, -1, -5?
-5
What is the closest to -2 in 1455/32, 5, -1/6?
-1/6
What is the nearest to -1/4 in -52, -1/5, 2/43, 1?
-1/5
What is the nearest to 1 in -1, -2, 0.2, -0.3919?
0.2
Which is the nearest to 0.1? (a) 23/2 (b) 25/3 (c) -2/7 (d) 4 (e) -0.4
c
Which is the closest to -15? (a) -4 (b) 5 (c) -4/261
a
Which is the closest to -166? (a) 4 (b) 0.4 (c) -4/5
c
Which is the nearest to -1? (a) 0.4 (b) 2.9 (c) 0.5 (d) -9
a
What is the nearest to 0 in 3/2, 10.1, 24, -1?
-1
What is the closest to 1/6 in -0.01, 0.5, -4/67?
-0.01
Which is the nearest to 0.1? (a) -4 (b) 4 (c) -0.2 (d) 2/275 (e) 4/9
d
Which is the nearest to 2? (a) -0.5 (b) 5 (c) -1/5 (d) 34/69
d
Which is the nearest to -4? (a) 8 (b) 2 (c) -1
c
What is the nearest to -0.2 in 7, -2/101, -9?
-2/101
Which is the closest to 2? (a) -0.3 (b) -45 (c) 7
a
Which is the closest to -2/13? (a) -3 (b) 4/9 (c) -2 (d) 3
b
What is the nearest to 0.2 in 55471, -2/7, -3?
-2/7
What is the nearest to -1 in 26, -0.3, -2/3, 1, 120.9?
-2/3
Which is the nearest to 4? (a) -1 (b) 71.2 (c) -0.1 (d) -2/5
c
Which is the nearest to -3/4? (a) -0.2 (b) -1 (c) 0.02 (d) 15
b
Which is the closest to 0.1? (a) 2 (b) -36 (c) 0.111
c
Which is the closest to 7? (a) -3/17 (b) 28 (c) 4
c
What is the nearest to 45 in 2/47, 2/5, -0.041?
2/5
What is the nearest to 23 in -2, 4/15, -4, 2?
2
Which is the nearest to -0.4? (a) 0.2 (b) -2 (c) 50453
a
Which is the closest to 237? (a) 4 (b) 5/3 (c) -0.1 (d) 8
d
What is the closest to -0.1 in 3, -469/6, -5, 0?
0
What is the nearest to 2 in -25.51, 196, 1?
1
Which is the closest to 6258? (a) -95 (b) -0.1 (c) -0.3
b
Which is the nearest to 1? (a) -14 (b) -0.016 (c) -3/8
b
What is the closest to 5 in -1/2, -132, 2/5?
2/5
What is the nearest to 0.1 in 1, 2, -1/52, -0.173, 3/7?
-1/52
Which is the closest to -1? (a) 2 (b) 234.07 (c) 0.2
c
Which is the nearest to -148? (a) -5 (b) 0.5 (c) -1/8 (d) 3 (e) 2
a
Which is the closest to 2/5? (a) -0.3 (b) 74 (c) -0.006
c
What is the nearest to -11 in 127, -0.3, 0.91?
-0.3
What is the closest to -0.1 in -3, 0.5, -823?
0.5
What is the nearest to 348 in 2/13, -8, 1/7?
2/13
Which is the nearest to -49? (a) 7 (b) -1/11 (c) 5 (d) -1/4
d
Which is the closest to -1/2? (a) 1 (b) -15 (c) 2 (d) -45
a
What is the nearest to -0.09 in -0.06, 0.1095, -3, 7?
-0.06
Which is the nearest to 0? (a) -20 (b) -2 (c) -1/7 (d) -14.62
c
Which is the nearest to -2/9? (a) -0.03 (b) -0.4 (c) -670
b
What is the nearest to -1/2 in 2, 3, -7.2, -2/5, 2/17?
-2/5
Which is the closest to 2? (a) -3/2168 (b) 4 (c) 0.2
c
Which is the nearest to 2? (a) -2/3 (b) 54 (c) -2/4755 (d) -4/7
c
What is the nearest to -0.1 in 66.5, 0.23, -2?
0.23
What is the nearest to -2/7 in 6, 20.4, 3/2, -5, -0.3?
-0.3
Which is the nearest to 91? (a) 19 (b) 0.5 (c) 11
a
What is the nearest to 0.2 in -5, 4, -2.0479?
-2.0479
What is the closest to 73 in 0.3, -4/13, -3/254?
0.3
Which is the closest to 2/17? (a) -34 (b) -3/2 (c) 3 (d) 0.05 (e) -0.031
d
Which is the nearest to 3? (a) 8 (b) -2/3 (c) 3 (d) 23 (e) 2/9
c
What is the nearest to 0.01635 in 2, -0.5, 3?
-0.5
Which is the nearest to -1/301? (a) -2 (b) -14 (c) -2/9 (d) -0.2
d
What is the nearest to 1 in 36, -41, 4, 0.1?
0.1
Which is the nearest to 94/9? (a) 0.5 (b) -4 (c) 4/3
c
What is the closest to 0.045 in -1/7, -6/5, 15.1?
-1/7
What is the nearest to 63 in -2, -2/5, 0.4, 1/4, -0.02?
0.4
Which is the closest to 9? (a) 1 (b) -4 (c) -2.4 (d) -3 (e) 3
e
Which is the nearest to 0? (a) 0.045 (b) -0.3 (c) -0.0561
a
What is the nearest to 0 in -1/2, -1/6, -0.3, -442/7?
-1/6
Which is the closest to 0.2? (a) -54643 (b) -1/12 (c) -0.4
b
What is the nearest to 0 in 845, -6/11, 2, -0.4?
-0.4
What is the nearest to 1/7 in -2/9, 4, 11, -0.3?
-2/9
Which is the closest to 0.3? (a) -0.5 (b) 393 (c) 0.1 (d) -1/6 (e) -5
c
Which is the closest to 0.2? (a) -1/7 (b) -199/15 (c) 3
a
What is the closest to -0.2 in 245, -6, 1?
1
Which is the nearest to 55? (a) 4 (b) -6.6 (c) -0.4
a
What is the closest to -1234 in 5, -4/11, -4, 3?
-4
Which is the closest to 1/3? (a) -0.1 (b) 4 (c) 7 (d) -179 (e) -3/8
a
What i | {
"pile_set_name": "DM Mathematics"
} |
of s(m) wrt m.
-8*m
Suppose 3*m = 7 + 11. Suppose -3*p + m = -p. Find the second derivative of p*c + 0*c**3 - 3*c - 2*c + 2*c**3 wrt c.
12*c
Let k(b) = b**2 - 6*b. Let y be k(6). Suppose 3*s - 3*t = y, 4*t = -s - s + 12. Find the second derivative of -3*o + 2*o**s - 2*o**2 + 2*o**3 wrt o.
12*o
Find the second derivative of -3*o**3 - 7*o**3 - 2*o - 4*o + 2*o wrt o.
-60*o
Let k = -3/31 + 37/62. Let j(a) be the second derivative of -a + 0*a**4 + 0 + k*a**2 + 1/10*a**5 + 0*a**3. What is the first derivative of j(l) wrt l?
6*l**2
Let y(a) be the third derivative of a**5/20 + a**4/4 + 5*a**2. What is the second derivative of y(r) wrt r?
6
Let f(q) be the second derivative of 9*q**5/10 + 2*q**2 - 4*q. Differentiate f(t) wrt t.
54*t**2
Let g = 2 + 0. Suppose 6 + 2 = 5*k - g*d, 5*d - 3 = k. Find the second derivative of -k*y - 2*y**5 + y - y wrt y.
-40*y**3
Let x(b) = -10*b + 42. Let u(r) = 11*r - 43. Let c(k) = 3*u(k) + 4*x(k). What is the derivative of c(j) wrt j?
-7
Let t = 6 - 5. Suppose -t = -3*u + 11. What is the second derivative of -3*i**4 + 0*i**4 + 2*i**u + 2*i wrt i?
-12*i**2
Let l(k) be the first derivative of 0*k**3 - 2*k + 0*k**2 - 2 - 1/2*k**4. What is the first derivative of l(h) wrt h?
-6*h**2
Find the second derivative of 101*t**3 - 42*t**3 + 56*t - 29*t**3 wrt t.
180*t
Suppose -2*k - 14 = -5*a, k + 4*a - 25 = -2*k. Suppose -5*z - k*n + 5 = -2, -8 = -5*z - 2*n. Find the second derivative of p**2 - 5*p**2 + z*p**2 - p wrt p.
-4
Let b(m) = m**4 + m**2 + m. Let x(l) = 9*l**4 + 4*l**2 + 4*l - 8. Let n(h) = 4*b(h) - x(h). Differentiate n(q) with respect to q.
-20*q**3
What is the third derivative of 15*z**2 + 10 - 18*z**3 - 10 wrt z?
-108
Let u be (24/((-3)/(-1)))/2. What is the third derivative of -2 - 2*d**5 + u*d**5 + 2 - d**2 wrt d?
120*d**2
Let z = -24 - -29. What is the third derivative of d**5 - 4*d**z - 4*d**5 + d**2 + 2*d**5 wrt d?
-300*d**2
Let g(b) be the third derivative of 0*b - 1/60*b**5 + 0 - 8*b**2 + 0*b**3 + 5/24*b**4. Find the second derivative of g(w) wrt w.
-2
Let f(w) = w + 5. Let x be f(0). Find the first derivative of 1 + x - 3 - 3*q + 8*q wrt q.
5
Let y(o) = 3*o**2 - 2*o. Let f(u) = 7*u**2 - 5*u. Let a(g) = -6*f(g) + 13*y(g). Find the second derivative of a(k) wrt k.
-6
Suppose -20 + 5 = -3*h. Suppose 20 = -0*q + h*q. What is the third derivative of 2*b + q*b + 3*b**3 + 2*b**2 - 6*b wrt b?
18
Let l be (-1)/4 - 336/(-64). Let k(r) = -5*r**2 + 4*r. Let m(w) = 5*w**2 - 3*w. Let f(h) = l*k(h) + 6*m(h). What is the second derivative of f(x) wrt x?
10
Let i(s) = -s**3 + 0 + 5*s**2 - 3*s - 6 + 4. Let z be i(4). Find the second derivative of 2*j**z + j - 2*j**2 - 2*j**3 wrt j.
-12*j
Let n be ((-54)/144)/((-6)/4). Let c(k) be the second derivative of 3*k + 0*k**2 + 0 + 1/6*k**3 + n*k**4. What is the second derivative of c(q) wrt q?
6
Let u = 17 - 12. Let c(s) = u*s - 2 - 2 + 2. Let l(i) = -6*i + 3. Let z(o) = -4*c(o) - 3*l(o). What is the first derivative of z(w) wrt w?
-2
Let t(q) be the third derivative of -2*q**9/63 - 2*q**5/15 - 23*q**2. Find the third derivative of t(i) wrt i.
-1920*i**3
Let m = -5 - -8. Suppose 4*y - 9 = m*p + y, 0 = -y + 5. What is the second derivative of 0*v**p - 4*v**2 - 3*v**4 + 4*v**2 - v wrt v?
-36*v**2
Find the third derivative of 6*m**2 - 80*m**6 + 17*m**6 + 20*m**6 + 5*m**2 wrt m.
-5160*m**3
Let o(d) = -8*d**4 - 2*d**2 - 2*d + 9. Let h(x) = -7*x**4 - 3*x**2 - 3*x + 10. Let p(g) = 2*h(g) - 3*o(g). Find the first derivative of p(r) wrt r.
40*r**3
Let h(x) = -7*x**3 - 14*x. Let y(g) = g**3 + g. Let z(k) = -h(k) - 6*y(k). Find the second derivative of z(v) wrt v.
6*v
Let z(w) be the third derivative of -w**5/12 - w**4/3 + 5*w**2. What is the second derivative of z(t) wrt t?
-10
Let t(i) = 5*i**4 - 35*i**2 + i - 1. Let b(g) = -g**4 - g**2 - g + 1. Let r(d) = b(d) + t(d). What is the third derivative of r(x) wrt x?
96*x
Let w(a) be the third derivative of 3*a**7/70 - 7*a**4/6 - 3*a**2. Find the second derivative of w(t) wrt t.
108*t**2
Let r(d) be the third derivative of -d**6/60 + d**5/20 - 5*d**2. What is the third derivative of r(c) wrt c?
-12
Let w(o) be the first derivative of 3*o**5 + 11*o**2/2 - 3. Find the second derivative of w(q) wrt q.
180*q**2
Let k = 2 - 0. Find the second derivative of k*v**2 + 0*v + v + v**2 wrt v.
6
Find the second derivative of -5*b**3 + 4*b - 17*b**3 - b**3 + 3*b**3 wrt b.
-120*b
Find the third derivative of 6*x**2 - 3*x**2 + 8*x**6 + 9*x**2 wrt x.
960*x**3
Let g(d) be the second derivative of d**7/360 - d**6/720 - d**4/6 + 2*d. Let i(t) be the third derivative of g(t). Find the second derivative of i(o) wrt o.
14
Let d(v) be the first derivative of -v**6/2 - 21*v**2/2 + 20. What is the second derivative of d(f) wrt f?
-60*f**3
Let s(m) = -2*m - 2. Let f(l) = 2*l + 2. Suppose -2 = -b + 2. Let i(y) = b*s(y) + 3*f(y). Find the first derivative of i(w) wrt w.
-2
Let k(w) be the second derivative of w**9/3024 - w**6/120 + w**3/3 - 3*w. Let d(x) be the second derivative of k(x). Find the third derivative of d(j) wrt j.
60*j**2
Let k(t) = 15*t**3 - 3*t**2 - 14*t. Let d(j) = -30*j**3 + 7*j**2 + 28*j. Let s(g) = 3*d(g) + 7*k(g). Find the second derivative of s(a) wrt a.
90*a
Let c(i) be the third derivative of -2*i**7/35 - 3*i**3 - 13*i**2. What is the derivative of c(v) wrt v?
-48*v**3
Let l(g) be the second derivative of g**4/2 + g**3/3 - 5*g**2/2 - g - 7. Find the second derivative of l(h) wrt h.
12
Differentiate f - 3*f + 2 - 2*f + 4 wrt f.
-4
Let k(t) = -10*t**2 - 8*t. Let x(j) = -j + 1. Suppose y - 32 = 5*y. Let h(l) = y*x(l) + k(l). Differentiate h(o) wrt o.
-20*o
Let b(z) be the first derivative of 0*z + 1 - 1/2*z**2 + 1/12*z**4 - 1/3*z**3. Let k(i) be the second derivative of b(i). Differentiate k(t) wrt t.
2
Differentiate -45*j - 41*j + 86*j + 10*j**3 - 7 wrt j.
30*j**2
What is the third derivative of 922*y**4 + 0 - 915*y**4 + 0 + 17*y**2 wrt y?
168*y
Let b(f) be the second derivative of 5*f**7/21 + f**4/3 - f**3/2 - 4*f - 3. Find the third derivative of b(w) wrt w.
600*w**2
Let i(o) = -31*o - 5. Let x(a) = -47*a - 7. Let m(k) = -8*i(k) + 5*x(k). Differentiate m(h) with respect to h.
13
Find the second derivative of 45*c**5 + 1 - 31*c + 7491*c**2 - 7491*c**2 wrt c.
900*c**3
Let k(n) = -4*n**3 + 12*n**2 + 2*n. Let f(h) = -h**2 - h. Let d(p) = -2*f(p) - k(p). Find the third derivative of d(c) wrt c.
24
Find the third derivative of 423 - 423 + 11*x**2 - 10*x**3 wrt x.
-60
Suppose w = -3*f - 3, 4*w + 3*f - 18 = 6*f. What is the first derivative of 0 - 4 - w*s**4 + 1 wrt s?
-12*s**3
Let q(w) = 3*w**2 - 4*w**2 + 0*w + w + 3 - 2. Let x(c) = -3*c**4 + 3*c**2 - 3*c - 2. Let r(z) = 3*q(z) + x(z). What is the first derivative of r(b) wrt b?
-12*b**3
Find the second derivative of -3*l**2 - l**2 - 6*l + l**2 + 0*l**2 wrt l.
-6
Let c(x) be the third derivative of -x**7/105 + x**4/4 - 2*x**2. What is the second derivative of c(f) wrt f?
-24*f**2
What is the first derivative of 3 - 66*v**3 + 4 + 39*v**3 wrt v?
-81*v**2
Let l(s) = 5*s + 7. Suppose -2 = -3*o - 11. Let v = -1 + o. Let f(u) = -11*u - 15. Let r(h) = v*f(h) - 9*l(h). What is the derivative of r(x) wrt x?
-1
Let b(x) be the second derivative of -3*x**5/10 + 7*x**3/6 - 5*x. What is the second derivative of b(s) wrt s?
-36*s
Suppose -t + 5*f - 8 = 0, -1 = 4*t - 2*f - 5. Find the third derivative of -x**5 + 2*x**5 - 2*x**2 + 0*x**t wrt x.
60*x**2
Let l(o) = 1. Let r(y) = 4*y - 8. Let j(n) = -10*l(n) - r(n). Find the first derivative of j(p) wrt p.
-4
Let g(o) be the first derivative of -7*o**4/4 + 4*o**3/3 - 1. What is the third derivative of g(m) wrt m?
-42
Suppose -3*k = 3*d - 87, d - k - 91 = -2*d. Find the first derivative of 1 - z**3 - 30*z**2 + d*z**2 wrt z.
-3*z**2
Suppose -2*n = -z - 7, -2*n + 0*n = -5*z - 19. Let k be (-1)/(-1 - 1)*n. Differentiate -3 - 3*l**4 + 1 + k with respect to l.
-12*l**3
Let q = 5 + -3. Find the third derivative of v**4 - 36 + 2*v**q + 36 wrt v.
24*v
What is the derivative of 2*y**4 - 4*y**4 + 3 - 5 wrt y?
-8*y**3
Let p(y) = -y**2 - y. Let u = -1 + 4. Let z(w) = -4*w**3 - 3*w**2. Let f(d) = u*p(d) - z(d). What is the second derivative of f(b) wrt b?
24*b
Let i = 2 + 2. What is the third derivative of 0*r**2 + 5*r**4 - 5*r**2 + r**2 - 6*r**i wrt r?
-24*r
Find the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
h**(2/65)*h)/(h*h**(-3/14)/h*h) assuming h is positive.
h**(21391/26390)
Simplify (d**(2/11)/d*d**(-1/4)/d*d*d)**(-4)*(d**(-4)/(d/(d**(2/23)/d*d)))/((d/d**6)/d*d*d*d**(-1)*d*d) assuming d is positive.
d**(-415/253)
Simplify v**(-1/2)*v*v*(v/v**(-6))/v*v*v**(-6)/v**(-2/3)*(v**(2/15)/(v**(1/7)/v))/(v**0)**31 assuming v is positive.
v**(291/70)
Simplify ((((n/(n**(5/4)*n))/n)/n**3)/((n*n/(n*n/n**(1/4)))/(n*n*(n*n*n**2*n)/n)))/(n*n**(-2)*n*n*n/(n/(n**(2/7)/n)))**(-22) assuming n is positive.
n**(95/14)
Simplify (((l**1)**(-16)/(((l/(l*l**2))/l)/l)**(1/7))**42)**(-20/7) assuming l is positive.
l**(12960/7)
Simplify p/(p**(-1/6)/p)*p**(-4)/p*p**(-1/6)/p**(-2/3)*(p*p*p**(2/11)*p**(-5))**0 assuming p is positive.
p**(-7/3)
Simplify (((b**(5/8)*b*b*(b*b**30*b)/b)**(12/5))**27)**(-4/25) assuming b is positive.
b**(-43578/125)
Simplify ((n**(2/47)/n**(-18))/(n/((n/(n/(n**(4/9)/n)))/n)*n**(-6/19)))**29 assuming n is positive.
n**(3683203/8037)
Simplify (j**(2/25)/((j/((j/(j*j*j/j**(2/5))*j)/j))/j))**30/(j**(2/13)/(j*j/(j*j**(-2/19)))*(j**(-3/7)*j)/j*j**(-4)) assuming j is positive.
j**(-347702/8645)
Simplify ((n**25)**(-5/6)/((n**36/n)/((n*n**23)/n)))**(-3/23) assuming n is positive.
n**(197/46)
Simplify ((x**(-2)*x**3)/((x**(2/5)*x)/x)**(3/19))/((x**0)**(11/2)*x/(x/(x**(-8)/x*x))*(x/x**4)/x) assuming x is positive.
x**(1229/95)
Simplify (o/o**2*o**0*o)/(o*o/(o*o**(-1)*o)*o/o**(2/23))*((o**(-1)*o*o)**11)**(-6/29) assuming o is positive.
o**(-2794/667)
Simplify (((((m**(1/10)*m)/m)/m)/(m/(m/(m*m**(10/3)))*m))/(m**(-3/4)*m)**47)**(2/31) assuming m is positive.
m**(-1079/930)
Simplify (a**1/a**5)**(3/38)*(a**1)**13*a/a**(2/9)*a*a/(a/(a**0*a)) assuming a is positive.
a**(2644/171)
Simplify (((f**13*f**11)**(-4/17))**(-3/10))**(-15) assuming f is positive.
f**(-432/17)
Simplify ((q**(-3/4))**(-4/7)*((((q*(q/(q*(q*q/(q/q**(6/11)*q))/q))/q)/q)/q)/q)/(q**(4/3)/q))**(-42) assuming q is positive.
q**(1132/11)
Simplify ((b**(-7)*b*b/b**10)/(b**(3/4))**(-8/13))**(-5) assuming b is positive.
b**(945/13)
Simplify (x*x**(-14/9))**(24/5)*(x**(-20)/x)**(-49) assuming x is positive.
x**(3079/3)
Simplify (d**(1/4)/((d*d/(d**(-1/5)*d))/d))/(d**(1/6)/d*d**7)*((d/d**(-3/4))/(d/d**(-1/8)))/(d**(-2))**(-40) assuming d is positive.
d**(-10259/120)
Simplify ((a*a/((a/a**(-19))/a))/a**6*a**(-7/5)*(a/(a**(-16)*a))/a)**50 assuming a is positive.
a**(-470)
Simplify (q/(q**31*q)*q*q**(-2/65)*(q**(-8/9)/q)**(3/11))**39 assuming q is positive.
q**(-65521/55)
Simplify ((z**(-5)*z/(z/(((z**(-1)*z*z)/z)/z)))/(z*z**(-5)*z)**(2/27))**(2/35) assuming z is positive.
z**(-104/315)
Simplify ((g**1/g)**(-1/34)/(g*g*(g/g**(-1))/g)**(16/5))/((g/(g**(-1/4)*g))**(2/127)*(g**(-1/4))**(-6/11)) assuming g is positive.
g**(-68036/6985)
Simplify ((v*(v/v**0)/v)**7/(v**1/(v/(v/v**2))))/(((v/((v/(v/(v/(v*v**(-1)*v)))*v)/v))/v)**(-39)*(v*v**1)**(-4/15)) assuming v is positive.
v**(128/15)
Simplify ((r**(1/4)/r)**(-22)*r**5/((r*r*r**(-2/17)/r*r*r)/r*r))/((r**(-1/2))**(1/10))**4 assuming r is positive.
r**(3199/170)
Simplify ((t*t**(-2/9))/(t*t*t**(-1/7)/t))**(-46)*((t**1)**(-1/47))**29 assuming t is positive.
t**(8983/2961)
Simplify (i**(2/7)/(i/(i**6/i)))**(-7/2)/((i**0*i*i/(i**(-2)*i))/((i*i**2*i)/(i*i**(-5)))) assuming i is positive.
i**(-10)
Simplify (c**(2/3)/(c/c**4)*(c*c/(c/c**(1/4)))**(-3/13))/(c/(c*c**1/c)*(c**(2/3)/c)/c*c)**27 assuming c is positive.
c**(1931/156)
Simplify ((d/d**3)/(d/(d*d**(-3/19)))*(d*d/((d*d/(d**0*d)*d)/d)*d)**10)**10 assuming d is positive.
d**(3390/19)
Simplify (((h*h**(-1/2))/h)**(-2))**(7/12)*h**(-2/15)/h**(-2/7)*h*h**(-1/3)*((h/h**(2/9))/h)/h*h assuming h is positive.
h**(1487/1260)
Simplify (f**(-32))**(-16/7)/(f**(1/2))**(1/24) assuming f is positive.
f**(24569/336)
Simplify (h/(h/(h*h**0)*h))**50/(h*h/h**(-2/7)*h)**(-29)*(h/((h/(h*h**(-1/4)*h))/h))**(11/9)*(h/((h*h*h*h**(1/2)*h)/h))/h*h/h**(-1/10)*h assuming h is positive.
h**(122531/1260)
Simplify v**3*v**(-1/4)*v*v**4*v**(1/6)*((v/v**0)**(3/32))**(-31) assuming v is positive.
v**(481/96)
Simplify (f*f*f/((f**(1/3)/f)/f)*f*f)**(5/7)*(f**(-2/11)*f*f)/(f/f**(-6))*(f*f**(1/3))**(-25)*(f/(f/f**(-1/6))*f*f)/f**(-1/4) assuming f is positive.
f**(-29263/924)
Simplify ((((q**1)**19)**21)**(-28))**17 assuming q is positive.
q**(-189924)
Simplify ((r*r**(-12)/r)/r**(-3/2))**2*(r**(-2/5)*r/(r*r/((r/(r*(r/(r**(-4)*r))/r))/r*r)*r))**2 assuming r is positive.
r**(-159/5)
Simplify ((a**(-2/3)/a)**(-34)*a**4*a**(1/3)*a)/((a**(-1)*a**(5/4)/a*a)/(a**3*a*a*a*a**(1/4))) assuming a is positive.
a**68
Simplify ((r*r**(-2/3))/r*r**(-23))/(r*r/(r/((r**(-42)/r)/r))*r*r**(-3/4)*r*r) assuming r is positive.
r**(205/12)
Simplify (m**(-2/49)/(m*(m*m**(9/4))/m)*(m*m/m**27)**(2/59))**32 assuming m is positive.
m**(-382840/2891)
Simplify (((a*a**1)/a)**(1/25)*((a**(-2/9)*a*a)/a)/a*a**(-1/6))/(((a*a*a**0)/a)**23)**(-4/33) assuming a is positive.
a**(12073/4950)
Simplify ((t*t*(t/t**(-25))/t*t)/t*(t/(t*t*t**2))/t*(t/(t/((t*t**2)/t)))/t*(t*t**(1/3)*t)/t)**(17/5) assuming t is positive.
t**(1292/15)
Simplify ((b/b**(-10/7))/b)**47/(b*b*b**(-23/2))**(-1/53) assuming b is positive.
b**(49687/742)
Simplify (o**0/(((o/(o**(-1/6)*o))/o)/o))**(3/5)/((o**2)**(-2/19)/(o**7*o*o/o**(-3/8)*o)) assuming o is positive.
o**(8881/760)
Simplify (f/(f/f**(1/10))*f)/(f*f**(-6)*f)*((f**(-1/4)/f)/f)/f**0*(f/f**2)/(f**(-7)/f)*f*f*f**2*f*f**3 assuming f is positive.
f**(357/20)
Simplify ((v/(v/v**2))/(((v*v**(-5)/v*v)/v)/v))**(-6/31)*(v**(-2/5)*v)**(-4/15)*v**(-4)/v*v**(6/7)/v assuming v is positive.
v**(-37168/5425)
Simplify (c**8/((((c/c**(-1/14)*c)/c)/c)/c))**(-43)/((c*c*c/(c*c**(1/6)/c))**(-2/5))**(5/2) assuming c is positive.
c**(-8003/21)
Simplify (v*v**(-4/17)*v*v)**10*(v/v**(-2/21))**(-14) assuming v is positive.
v**(628/51)
Simplify (q/q**(1/46))/q**19*(q**(-24)/q)**(6/19) assuming q is positive.
q**(-22651/874)
Simplify (u**(2/17)/(u/u**(2/27)))**(-43)*(u**(-2/5)/u*u/(u/(u/u**(-3))))/((u/(u/u**(-5)))/u*u**(-3/4)*u) assuming u is positive.
u**(395713/9180)
Simplify ((b*b**(-2/11))/b**(3/10))**(-2/83)/(((b*(b*(b/(b**(1/9)/b*b))/b*b)/b)/((b/(b**(2/11)*b))/b*b))/(b**(-1/8)*b*b/b**(-2/11))) assuming b is positive.
b**(-8669/328680)
Simplify (((q**4/(q*q**(-7)))/(q*q/q**(-5)*q**5))**(2/45))**(-12) assuming q is positive.
q**(16/15)
Simplify ((m/(m**(-2/21)/m))/(m*m*m*m**6*m)*(m/(m**(2/3)*m))**(-37))/((m**(4/11)*m**(-4))/(m*m*m/(m**2*m))**(-2/41)) assuming m is positive.
m**(4712/231)
Simplify (((h/(h*h**(-2)/h*h)*h/((h/(h**8*h))/h))/(h/h**(-3)*h**(-5)))**(-41))**16 assuming h is positive.
h**(-8528)
Simplify ((q/(q/(q*q**1*q)))**(-47)/(q**20*q/(q**(-20)*q)))**(12/11) assuming q is positive.
q**(-2172/11)
Simplify ((b**(-3/4)/b)/b*b*b**7*b*(b*b*b*b*b**(-1/3)*b*b*b*b)**(-1/15))/(b**(-1/3)/((b/(b*((b*b**(-5))/b)/b*b*b))/b))**(-2/105) assuming b is positive.
b**(7151/1260)
Simplify (c**(-6)*(c*(c/(c/c**(2/9))*c)/c)/c)/(((c**(-1/5)/c)/c)/c*c**0)*c*c**6*c**(2/7)*(c**0)**42 assuming c is positive.
c**(1483/315)
Simplify v/(v**(-1)*v)*v**(5/4)*v**(-2/13)*v*v**(6/11)/v*v*((v/v**(-5))/v**(3/2))**9 assuming v is positive.
v**(25249/572)
Simplify ((v**(6/5)*v*v**(-17)/v)/(v*((v*v/(v/v**(-5)))/v)/v)**(-19))**(-38) assuming v is positive.
v**(21052/5)
Simplify ((d*d**11)/(d/d**(3/4)))**(-1/29)/((d**(1/4))**31/(d**1/d*d)**(-4/5)) assuming d is positive.
d**(-2597/290)
Simplify (f*f/f**(-2)*(f*f**(2/17))/f*f*f**3/(f*f**(-2/7)))/((f**(1/11)*f/f**(-2/13))/(f**3/(f*f**(-5)*f*f*f))) assuming f is positive.
f**(172869/17017)
Simplify ((z*z/z**(-3))/((z/(z/z**(-2/7)))/z)*(z**(1/2))**(-1/4))/((z**(-2/3))**(-1)*(z**(2/5))**(5/16)) assuming z is positive.
z**(451/84)
Simplify (((s/((s**(1/3)*s*s)/s)*s)/s**(-2/5))/(s**(-1/4)/s**(-3)))/((s*s/((s*s*s/s**(1/3)*s)/s))**(-13/5))**(-5/2) assuming s is positive.
s**(53/20)
Simplify (f/f**20)**(-1/9)*((f*f**(8/7)*f)/f*f)/f*f/((f**(-4)*f)/f*f) assuming f is positive.
f**(520/63)
Simplify (q**(-2/11)/((q**(-1/3)/q)/q))**33*(q/((q*(q*q/(q**(-1)*q))/q)/q))**(4/11)/(q**(-2/7))**(9/8) assuming q is positive.
q**(1997/28)
Simplify (q**(6/7)/q*q**(-1))**(-9)*(q/(q*q**(-1/3)*q*q))**(5/3)*((q/q**6)/q*q)/q**5 assuming q is positive.
q**(-157/63)
Simplify (((n/(n**(2/63)/n))/n*n*n/((n*n**(-2/63)/n*n)/n))/(n**30*(n*(n/(n/n**(-28))*n)/n)/n))**(-31) assuming n is pos | {
"pile_set_name": "DM Mathematics"
} |
2. Suppose -2*v = -h*v + 35. Suppose 4*a - 37 = v. List the prime factors of a.
2, 3
Let j(p) = -p**3 + 5*p**2 + 4*p - 4. Let b be j(5). Suppose -260 = -b*q + 11*q. List the prime factors of q.
2, 13
Suppose 4 = 4*d - j, 5*j + 4 = -5*d - 16. Suppose 5*o - 2*o = d. Suppose o*t - 4*t = -36. List the prime factors of t.
3
Let b = -46 + 180. Suppose -74 = -3*c - 4*l, 2*c + 3*c - b = -4*l. List the prime factors of c.
2, 3, 5
Suppose -6176 = -28*n - 4*n. List the prime factors of n.
193
List the prime factors of (2 - (-12)/(-8))*(517 + 13).
5, 53
Suppose 0 = -p - 4*p + 2*m + 204, 5*p - 3*m - 206 = 0. What are the prime factors of p?
2, 5
Suppose -24*w = -20*w - 104. Let r = w + -17. Suppose -r*p + 6*p = -99. List the prime factors of p.
3, 11
Let i = -18 + 16. Let k be (i/3)/(2/(-9)). Suppose 0 = -o + k*o - 4. What are the prime factors of o?
2
Let x be 3/(3 + 13/(-4)). Let n(p) = -5*p - 8. What are the prime factors of n(x)?
2, 13
Let u(n) = n**2 + 9*n + 7. Let j be u(-10). Let b = 19 - j. Suppose -3*a = 2*a - 2*x - 164, -x = b*a - 62. List the prime factors of a.
2
Let x = -501 + 1236. Suppose 2*a = 9*a - x. List the prime factors of a.
3, 5, 7
Suppose -4*h = 5*y - 1484, -7*h + 9*h - 1192 = -4*y. List the prime factors of y.
2, 3, 5
Suppose 15*t - 4633 = 15557. List the prime factors of t.
2, 673
Let y = 21 - 16. Suppose 0 = 5*o + y*o - 60. List the prime factors of o.
2, 3
Let a(s) = -s**2 - 2*s + 4. Let g be a(-6). Let n be 59/(-5) - (-4)/g. Let q = 24 + n. What are the prime factors of q?
2, 3
Let r(b) = 22*b + 16*b - 9*b + 1 - 8*b. Let g be r(1). List the prime factors of (-11)/(-1) - g/(-11).
13
Let b(c) = 6*c**3 - 5*c**2 - c - 5. Let m(z) = 5*z**3 - 4*z**2 - z - 5. Let y(v) = 4*b(v) - 5*m(v). Suppose 0 = -0*j - 2*j. List the prime factors of y(j).
5
Suppose n + 2*c = 4023, -4*n - 25*c + 16067 = -22*c. What are the prime factors of n?
4013
Let j = 35 - 19. Let s = j - -67. What are the prime factors of s?
83
Suppose 8*o - 511 = 129. What are the prime factors of o?
2, 5
Let n(o) = 5*o**2 - 9*o - 3. Let d be n(7). Let g = d + -108. What are the prime factors of g?
71
Suppose 56*l - 232760 + 83072 = 0. List the prime factors of l.
3, 11
Suppose -2*a + 2*m + 1 - 5 = 0, -m + 2 = 2*a. Suppose a = 25*t - 20*t - 30. List the prime factors of t.
2, 3
Suppose -14*y = -15*y - 25. Let k(u) = -8*u + 10. Let v be k(7). Let s = y - v. What are the prime factors of s?
3, 7
Let h(y) = 7*y - 2. Let d be h(1). Suppose 0 = d*s - 68 - 162. What are the prime factors of s?
2, 23
Suppose 0 = -3*k + 2*u + 605, 2*k - 4*u - 636 = -230. List the prime factors of k.
3, 67
List the prime factors of ((-48)/(-14))/((4 - 6)/(-112)).
2, 3
Suppose -3*c = -4*m - 3, 3*m - 2*c + 14 = 12. Let h(a) = -a + 40. Let r be h(0). Suppose 4*l = -m*l + r. What are the prime factors of l?
2, 5
Suppose -66*u + 4*v + 2365 = -61*u, 0 = u + 3*v - 473. What are the prime factors of u?
11, 43
Let s(g) = g**2 - 4*g - 4. Let l(y) = -y**2 + 3*y + 3. Let r(u) = -6*l(u) - 5*s(u). Let p be r(-5). Let o = -10 + p. What are the prime factors of o?
7
Suppose 0 = 7*p - 8 - 20. Suppose p*f = 2*d - 114, -3*d + 228 = d + 3*f. What are the prime factors of d?
3, 19
Suppose -4*y + 3*y = -5. Suppose -20 = y*j, j + 4*j = -5*t + 370. List the prime factors of t.
2, 3, 13
Let b(i) = i**2 - 9*i + 4. Let f be b(5). Let x = 20 + f. Suppose -d - x*d + 25 = 0. What are the prime factors of d?
5
Let o(t) be the first derivative of -2*t**3/3 - 3*t**2/2 + 3*t - 6. Let m be o(-4). List the prime factors of m/(3/(-4 - -1)).
17
Let o be 4/6 - (-42)/(-9). Let u(z) = 6. Let a(v) = -v + 1. Let i(t) = o*a(t) - u(t). What are the prime factors of i(6)?
2, 7
Let q = -54 + 1051. What are the prime factors of q?
997
Suppose -1782 = -2*t + b + 5704, 2*t + 2*b - 7480 = 0. List the prime factors of t.
2, 1871
Let k = -664 - -701. What are the prime factors of k?
37
Let z(i) = -i**2 + 6*i - 2. Let v be z(5). Let a(b) = -1 - 22 - 15*b + v + 4*b. What are the prime factors of a(-6)?
2, 23
Let h(s) = -33*s + 69. List the prime factors of h(-19).
2, 3, 29
Let n(p) be the first derivative of 30*p**2 - 37*p + 37. What are the prime factors of n(3)?
11, 13
Let m(s) = s - 1. Suppose -19 = 3*h - 1. Let d be -1 - (3 - 1) - h. What are the prime factors of m(d)?
2
Let j(m) = -5 - 2*m + 2 + 13 + 6. What are the prime factors of j(7)?
2
Suppose -3*p - 15 = -5*o, 0*o + o + 5*p = -25. Suppose 4*a + 416 = 5*f, 5*f - 2*a + 7*a - 380 = o. Suppose 4*w - f = -0*w. What are the prime factors of w?
2, 5
Suppose -6*p + 1630 = -422. List the prime factors of p.
2, 3, 19
Let z(o) = -3*o**3 - 10*o**2 + 7*o - 11. What are the prime factors of z(-9)?
1303
Let l be 4/4 + 2 - -10. Suppose -v - 5*h = -23, 5*v + h - 6 = l. List the prime factors of (-1 + -28 + v)*-1.
2, 13
Let z be (-18)/(-4) - 12/24. Suppose -k - 471 = -z*f, -2*f + k + 237 = -0*f. List the prime factors of f.
3, 13
Let j(a) = 1927*a**3 + 3*a**2 - 2*a + 1. List the prime factors of j(1).
3, 643
Let m = 90 + 1047. What are the prime factors of m?
3, 379
Let c(p) = 5*p**2 + 8*p - 6. Let b(i) = 11*i**2 + 17*i - 12. Let m be 12/(-5) - (-16)/40. Let z(g) = m*b(g) + 5*c(g). List the prime factors of z(4).
2, 3, 11
Suppose -5*q = 5, 0*a + 2*a = 5*q - 367. Let y = a + 261. What are the prime factors of y?
3, 5
Let x(y) = y**2 + 2*y - 10. Let q be x(-5). Let h(v) = 22*v + 8. What are the prime factors of h(q)?
2, 59
Let v be 5 + (-1)/((-1)/(-1)). Suppose -2*l - v*b + 32 = l, l - b = 20. Let p = l - 1. What are the prime factors of p?
3, 5
Let s(c) = c**3 + 20*c**2 - 2*c - 17. List the prime factors of s(-20).
23
Let z be 4/8 - (-162)/12. Let n(s) = -6 + 9*s - s**2 - 9 + 7*s. What are the prime factors of n(z)?
13
Let t(b) = b**3 + 7*b**2 + 3*b - 2. Let x be t(-6). Let h = x - -44. What are the prime factors of h?
2, 3, 5
Let n(r) = r + 26. Let s(k) = 2*k + 51. Let q(w) = -7*n(w) + 4*s(w). What are the prime factors of q(-18)?
2
Let h(s) = -30*s + 6. Let p(n) = -n. Let o(x) = h(x) + 2*p(x). What are the prime factors of o(-5)?
2, 83
Let p = -4 - -6. Suppose -752 = -5*h - 3*f, 0*h - p*f = h - 156. Suppose 7*w + h = 477. List the prime factors of w.
47
Suppose -g - 60 + 2901 = 4*s, 4*g - 2856 = -4*s. What are the prime factors of s?
709
Let w(v) = 2*v**2 - 6*v - 7. Let c(d) = -d**3 - 5*d**2 + 3*d - 9. Let l be c(-6). What are the prime factors of w(l)?
101
Suppose -4*z - 1 + 9 = 0. Let o be 4 - ((2 - 2) + z). Suppose o*f - 18 = 20. What are the prime factors of f?
19
What are the prime factors of 11 + 808 + 3 + -9?
3, 271
Let n = -94 - -96. Suppose -4*w = -4*q - 328, 2*w + 0*w = -n*q + 164. List the prime factors of w.
2, 41
Suppose u + 10 - 14 = 0. Suppose 64 = 2*l + 2*i - u, -l + 3*i + 14 = 0. Suppose 3*o + 39 = 2*k, -6*k + 5*o = -4*k - l. List the prime factors of k.
3
Let n(u) = -3*u - 5. Let q be n(-5). Let g(j) = q*j - 10*j - 12*j + 2 - 15*j. List the prime factors of g(-1).
29
Suppose -43*r = -830 - 15854. List the prime factors of r.
2, 97
Let r = -51 - -51. Suppose r = -5*q - 6 + 441. What are the prime factors of q?
3, 29
List the prime factors of (-1 + 200)/(17/119) - -5.
2, 3, 233
Let s be (-1)/((-18)/4) + (-6468)/(-54). Suppose 10*w = 140 + s. List the prime factors of w.
2, 13
Suppose -y - 3*h = -16, 48 - 30 = y + 5*h. What are the prime factors of y?
13
Let k(n) = 7*n**2 - n + 2. Let i be k(2). Let m = i - -8. Suppose 0*y = -4*y + 4*c + m, -2*c - 30 = -4*y. What are the prime factors of y?
2, 3
Let q(v) = v**3 + 7*v**2 + v + 5. Let t be q(-7). Let o be (-1368)/(-99) - t/11. Suppose -4 + o = z. List the prime factors of z.
2, 5
Suppose d - 3236 = -2*h, 2*h - h - 12944 = -4*d. List the prime factors of d.
2, 809
Suppose i + 2*u = -i + 4, 0 = -4*u + 8. Suppose -5*l + 1251 - 351 = i. What are the prime factors of l?
2, 3, 5
Let c = 17 + -2. Let j = 19 - c. Suppose -2*f + y - 4 = -86, 4*f - 164 = -j*y. List the prime factors of f.
41
Let s(k) = -k**3 + 14*k**2 + k - 14. Let j be s(13). Let c = j - 33. Suppose -3*u + 0*u = 3*f - c, 111 = 2*u - 5*f. List the prime factors of u.
2, 3
Let h(l) = -l**3 - 22*l**2 - 12*l + 21. What are the prime factors of h(-22)?
3, 5, 19
Let b be (-6 + 1)*18/(-10). List the prime factors of (b/(-8))/3 - (-3046)/16.
2, 5, 19
Suppose 5 = 5*f, c + 3*f - 498 = 6*c. Let y | {
"pile_set_name": "DM Mathematics"
} |
- 52437020 = 0. What is o?
-89, 2/7, 1655
What is p in 4*p**2/3 - 3365592*p + 2123851783212 = 0?
1262097
Determine w, given that -4*w**5 + 306812*w**4 - 2454312*w**3 + 5522104*w**2 - 4908500*w + 1533900 = 0.
1, 5, 76695
Determine t, given that 4*t**4 - 19596*t**3 + 26959764*t**2 - 14647622756*t + 2797407742584 = 0.
611, 3066
Factor 4*j**2 + 298256*j + 13413420.
4*(j + 45)*(j + 74519)
Solve -2*q**2/7 + 53300*q/7 + 11172928/7 = 0.
-208, 26858
Solve -5*c**3 - 314884695*c**2 = 0.
-62976939, 0
Find h such that -h**4 + 1718*h**3 - 729600*h**2 = 0.
0, 768, 950
Find w such that w**5/9 + 139*w**4/9 + 367*w**3/9 - 30433*w**2/3 - 30392*w = 0.
-131, -29, -3, 0, 24
Suppose -l**4 + 260*l**3 + 156288*l**2 - 35842832*l - 2746285040 = 0. Calculate l.
-370, -62, 346
Factor 3*a**2/2 - 323757834*a + 17469855846061926.
3*(a - 107919278)**2/2
Suppose -44*n**3/3 + 10537*n**2/9 + 613*n/3 + 80/9 = 0. Calculate n.
-1/11, -1/12, 80
Solve -d**4/2 - 2735*d**3/2 - 1809867*d**2/2 + 82960803*d/2 = 0 for d.
-1389, 0, 43
Determine u, given that u**5/5 + 571*u**4/5 + 43018*u**3/5 + 636742*u**2/5 + 1146709*u/5 + 110483 = 0.
-485, -67, -17, -1
Factor 2*t**3 - 63376*t**2 + 1076778*t + 1140156.
2*(t - 31671)*(t - 18)*(t + 1)
Let -2*t**3/9 + 1522106*t**2/9 + 2*t/9 - 1522106/9 = 0. Calculate t.
-1, 1, 761053
Let 2*u**5/3 - 148*u**4 + 16546*u**3/3 - 52008*u**2 - 57672*u = 0. What is u?
-1, 0, 18, 27, 178
Factor 5*s**3 + 7888555*s**2 + 141992775*s + 638965665.
5*(s + 9)**2*(s + 1577693)
Determine z, given that z**3 + 3493*z**2 + 364172*z + 6331820 = 0.
-3386, -85, -22
Factor -5*c**3/4 + 252855*c**2/4 - 2653875*c/2.
-5*c*(c - 50550)*(c - 21)/4
Find f such that -f**4 + 17884*f**3 - 64969218*f**2 - 139847460444*f + 139912411779 = 0.
-1491, 1, 9687
Find c, given that 2*c**2/5 - 16599718*c/5 + 49799136/5 = 0.
3, 8299856
Find o such that 5*o**5 - 5260*o**4 - 271375*o**3 - 4520750*o**2 - 27500000*o - 55100000 = 0.
-20, -5, 1102
Determine w so that w**2/5 + 143013*w/5 + 143012/5 = 0.
-143012, -1
Find i, given that -i**2/9 + 16739*i/3 - 50216/9 = 0.
1, 50216
Factor 4*l**2/7 - 3434288*l/7 - 3434292/7.
4*(l - 858573)*(l + 1)/7
Find x, given that 4*x**4 + 1122*x**3 + 7164*x**2 + 10960*x = 0.
-274, -4, -5/2, 0
Solve -3*c**2 + 21705*c - 21185208 = 0 for c.
1163, 6072
Determine k, given that -k**3/3 - 630163*k**2 + 4*k/3 + 2520652 = 0.
-1890489, -2, 2
Let -2*f**5/15 + 2*f**4/5 + 562*f**3/15 - 58*f**2/5 - 4144*f/3 - 6664/5 = 0. Calculate f.
-14, -6, -1, 7, 17
Suppose 3*d**4/4 + 850731*d**3/4 - 6806025*d**2/4 + 4253925*d/4 + 21268875/2 = 0. Calculate d.
-283585, -2, 5
Factor 10124929602*g**2 + 455366400*g + 5120000.
2*(71151*g + 1600)**2
Determine u, given that -5*u**3 - 1071170*u**2 - 11782265*u = 0.
-214223, -11, 0
Find p, given that 3*p**2/5 - 1180830*p + 112177767/5 = 0.
19, 1968031
Find g such that -35*g**2 + 34410960*g - 9831700 = 0.
2/7, 983170
Solve -2*g**2/9 - 17762*g/9 - 3370556/9 = 0.
-8687, -194
Find x such that 1033396722*x**2/5 - 6910224*x/5 + 11552/5 = 0.
76/22731
Let -10*v**5 - 26*v**4 + 3126*v**3 + 26*v**2 - 3116*v = 0. What is v?
-19, -1, 0, 1, 82/5
Determine t so that -t**3/5 - 8887*t**2/5 + 964808*t - 127182640 = 0.
-9407, 260
Determine r, given that -r**4 - 19437*r**3 - 92625835*r**2 + 17803697937*r - 17711052664 = 0.
-9811, 1, 184
Suppose -u**3/3 - 12768*u**2 - 968924*u - 55201232/3 = 0. Calculate u.
-38228, -38
Factor 5*s**3 - 7429885*s**2 + 29719480*s - 29719460.
5*(s - 1485973)*(s - 2)**2
Factor x**4/4 - 4553*x**3 + 9105*x**2.
x**2*(x - 18210)*(x - 2)/4
Find m such that 20*m**2 + 5383732332*m - 2153492936 = 0.
-269186617, 2/5
What is c in -4*c**3/3 + 985*c**2 - 35271*c - 26638/3 = 0?
-1/4, 38, 701
Factor n**3 - 371486*n**2 - 104818695*n - 7391119608.
(n - 371768)*(n + 141)**2
Factor -2*t**3 + 9946*t**2 - 549822*t - 4336794.
-2*(t - 4917)*(t - 63)*(t + 7)
Determine d so that 2*d**4/3 + 2836*d**3/3 + 482320*d**2/3 - 976000*d/3 = 0.
-1220, -200, 0, 2
Let 4*k**2 + 2670472*k + 2670468 = 0. What is k?
-667617, -1
Factor 51*a**2 + 385032*a - 135900.
3*(a + 7550)*(17*a - 6)
Solve z**5/8 - 33*z**4/8 - 30851*z**3/8 + 61857*z**2/8 + 15425*z/4 - 7728 = 0 for z.
-161, -1, 1, 2, 192
Factor -2*s**2/7 + 229640*s + 1607482/7.
-2*(s - 803741)*(s + 1)/7
Let -54*o**3 - 8252*o**2 + 80262*o - 14580 = 0. What is o?
-162, 5/27, 9
What is h in 2*h**4/9 + 22126136*h**3/9 + 61195714660172*h**2/9 - 13599055077640*h + 6799528768050 = 0?
-5531535, 1
Solve 12*a**4 + 2180*a**3 + 67060*a**2 - 245940*a + 74448 = 0.
-141, -44, 1/3, 3
Find m, given that 5*m**2 - 6875*m + 2251530 = 0.
538, 837
Let 2*b**4 + 303431*b**3/6 + 957997157*b**2/3 - 13521724150*b/3 + 1120157500/3 = 0. Calculate b.
-12650, 1/12, 14
Factor 4*a**2 + 32296056*a + 64592096.
4*(a + 2)*(a + 8074012)
Factor -3*h**2 + 809211*h - 5664330.
-3*(h - 269730)*(h - 7)
Suppose 5043*t**3/7 + 224130477*t**2/7 + 355742118240*t - 355774137600 = 0. Calculate t.
-911120/41, 1
Factor -c**3 + 37505*c**2 - 171230367*c + 209344968063.
-(c - 32423)*(c - 2541)**2
Determine s so that -4*s**2 - 101628*s - 101624 = 0.
-25406, -1
Solve 63*t**5 - 4792782*t**4 + 42673482*t**3 + 7987476*t**2 - 33545385*t - 12322854 = 0 for t.
-2/3, -3/7, 1, 9, 76067
What is w in -3*w**5 + 7542*w**4 - 848427*w**3 + 16768404*w**2 + 485256420*w - 501183936 = 0?
-16, 1, 66, 2397
Determine x, given that -x**3 + 308362*x**2 - 87514316*x + 6212084792 = 0.
142, 308078
Solve -14*j**2 - 531830*j/9 + 7504 = 0.
-4221, 8/63
Find v, given that -2*v**5/19 - 3868*v**4/19 + 730518*v**3/19 + 12742648*v**2/19 - 14914840*v/19 - 26923104/19 = 0.
-2106, -17, -1, 2, 188
Factor -j**2 - 655951*j.
-j*(j + 655951)
Let 4*b**3/5 + 1077808*b**2/5 - 45274992*b/5 = 0. Calculate b.
-269494, 0, 42
Factor 11*i**3 + 26383*i**2 - 52799*i + 26405.
(i - 1)**2*(11*i + 26405)
Solve r**4/3 - 2185*r**3/3 + 380214*r**2 + 19445184*r + 37363680 = 0.
-45, -2, 1116
Let -2*g**5/15 + 416*g**4/3 - 228782*g**3/5 + 13628900*g**2/3 + 578635648*g/15 + 78651328 = 0. Calculate g.
-4, 210, 419
Factor -3*k**2/2 + 144777006*k.
-3*k*(k - 96518004)/2
Determine p, given that -p**3/8 + 4309*p**2/8 + 9184*p + 75705/2 = 0.
-10, -7, 4326
Factor 3*g**3 - 66294*g**2 - 3056013*g + 3122304.
3*(g - 22144)*(g - 1)*(g + 47)
Solve 2*l**3/17 - 236216*l**2/17 + 5432030*l/17 - 14170200/17 = 0.
3, 20, 118085
Suppose -2*y**4/5 - 244872*y**3/5 - 7516316456*y**2/5 - 1287378298944*y/5 - 55279500103808/5 = 0. What is y?
-61132, -86
Let -1365*w**4/4 - 4391*w**3 - 14025*w**2/4 + 1099*w/2 + 6 = 0. Calculate w.
-12, -1, -2/195, 1/7
Suppose -16*n**3/3 + 441200*n**2 - 1323564*n + 992664 = 0. Calculate n.
3/2, 82722
Determine t so that 4*t**4 - 72820*t**3 + 4499460*t**2 + 72820*t - 4499464 = 0.
-1, 1, 62, 18143
Factor -672*z**2 - 9052*z + 62060.
-4*(z - 5)*(168*z + 3103)
Factor 4*o**3 + 27892*o**2 + 63788364*o + 47602577340.
4*(o + 1735)*(o + 2619)**2
Factor 3*a**2/7 - 147243324*a/7 + 1806716371880748/7.
3*(a - 24540554)**2/7
Find z such that -3*z**3 - 5445*z**2 + 98886*z - 175968 = 0.
-1833, 2, 16
Factor -x**2/3 - 1554*x - 3878552/3.
-(x + 1084)*(x + 3578)/3
Find q, given that 5*q**3/3 - 112840*q**2/3 + 628785905*q/3 + 29644840070 = 0.
-138, 11353
Factor g**2/3 - 39565906*g/3 - 26377272.
(g - 39565908)*(g + 2)/3
Suppose -u**2 - 43379*u + 1606392 = 0. What is u?
-43416, 37
Find q, given that -650*q**4 + 1438455*q**3 - 4321865*q**2 + 2906160*q - 22100 = 0.
1/130, 1, 2, 2210
Suppose 2*r**3 + 2353594*r**2 = 0. What is r?
-1176797, 0
Determine q so that -79*q**3/2 + 170567*q**2/2 - 176880*q + 12942 = 0.
6/79, 2, 2157
Let 39*j**5 + 17951*j**4 - 31099*j**3 - 66923*j**2 + 31060*j + 48972 = 0. What is j?
-462, -1, 1, 106/39
Determine v so that -2*v**2/3 + 2753678*v/3 - 22029040 = 0.
24, 1376815
What is d in -4*d**2 - 102493572*d = 0?
-25623393, 0
Let -2*b**3/19 - 12550*b**2/19 - 34728*b - 1866600/19 = 0. Calculate b.
-6222, -50, -3
Let -3*q**5/2 - 28569*q**4/2 + 3675525*q**3/2 - 10855131*q**2/2 + 5398989*q - 1794900 = 0. What is q?
-9650, 1, 124
Factor -5*j**2 + 309358*j + 123744.
-(j - 61872)*(5*j + 2)
Determine j, given that 5*j**4/3 + 10500*j**3 + 1158065*j**2/3 - 1231590*j + 2505200/3 = 0.
-6263, -40, 1, 2
Suppose 4*p**5/9 - 57008*p**4/9 - 88756*p**3 - 1312528*p**2/9 + 798800*p/9 + 456512/3 = 0. What is p?
-12, -2, -1, 1, 14266
What is a in -2*a**2/5 - 44882*a/5 + 3422400 = 0?
- | {
"pile_set_name": "DM Mathematics"
} |
1173 + 18*d**2.
18*d**2
Collect the terms in -109367 + 109367 - 2*u.
-2*u
Collect the terms in -10*j + 16*j - 29*j.
-23*j
Collect the terms in 10*j - 2*j - j + 25*j.
32*j
Collect the terms in 36*d**3 + 32*d**3 - 39*d**3.
29*d**3
Collect the terms in 0 + 0 - 20*x**3 + 8*x**3.
-12*x**3
Collect the terms in 46 - 3*w - 46.
-3*w
Collect the terms in -41*x**2 + 46*x**2 - 4*x + 4*x.
5*x**2
Collect the terms in -636*m**2 - 625*m**2 + 1268*m**2.
7*m**2
Collect the terms in -115*q**3 + 97*q**3 + 55*q**3.
37*q**3
Collect the terms in 5*s + 0*s + 1500 - 2*s - 1500.
3*s
Collect the terms in -13*s**2 + 5*s**2 + 11*s**2 + 3 - 3.
3*s**2
Collect the terms in 46*j**3 - 32*j**3 + 193*j**3.
207*j**3
Collect the terms in -11*z**3 - 18*z**3 - 9*z**3.
-38*z**3
Collect the terms in 15 + 26 + 11*n**3 - 41 + 4*n**3.
15*n**3
Collect the terms in 9 - 32 + 3*q + 3*q + 10.
6*q - 13
Collect the terms in -28*z**3 - 4*z**2 - 33*z**3 + 4*z**2.
-61*z**3
Collect the terms in 21*y - 13*y + 4*y**2 - 8*y.
4*y**2
Collect the terms in -5*x - 10*x + 25*x - 9*x.
x
Collect the terms in -4*d**3 - 2*d + 3*d**3 + 0*d**3.
-d**3 - 2*d
Collect the terms in -5 + 2 + 1 - 266*o.
-266*o - 2
Collect the terms in 13*v - 24*v + 10*v.
-v
Collect the terms in -2*q - 6*q + 5 - 1 - 3.
-8*q + 1
Collect the terms in 8*h - 6*h + 9*h + 14*h.
25*h
Collect the terms in 9*y**2 - 2*y**2 - 2*y**2 + 4*y**2.
9*y**2
Collect the terms in -8 + 20 + 12*h**2 - 12.
12*h**2
Collect the terms in 20*j + 3*j**2 + 91*j - j**2.
2*j**2 + 111*j
Collect the terms in -9 - 5*o**2 + 18 - 9 + 0.
-5*o**2
Collect the terms in 3*s**2 - 307 + 307.
3*s**2
Collect the terms in -29*m**3 + 21*m**3 + 7*m**3.
-m**3
Collect the terms in -9*c - 2*c + 7*c + 6*c.
2*c
Collect the terms in 127 - 3*v**2 - 22 + 7*v**2.
4*v**2 + 105
Collect the terms in -19*a - 10*a - 11*a + 7*a.
-33*a
Collect the terms in -4*o - 27*o + o - 18*o.
-48*o
Collect the terms in 113*m**2 - 240*m**2 + 117*m**2.
-10*m**2
Collect the terms in 65*v - 21*v - 18*v - 11*v - 16*v.
-v
Collect the terms in -66 + 23*d + 66.
23*d
Collect the terms in -4*t**2 - 8*t**3 - 8*t**2 + 12*t**2.
-8*t**3
Collect the terms in 0 + 1 - 191*n**2 - 1 + 199*n**2.
8*n**2
Collect the terms in 5*c**2 + 2*c**2 + 6*c**2.
13*c**2
Collect the terms in -2*m + 11*m + 22 + 19*m.
28*m + 22
Collect the terms in 3*j**3 - 4*j**3 - 1331*j**2 + 1331*j**2.
-j**3
Collect the terms in 3*i - 12*i + i.
-8*i
Collect the terms in -40*h**2 - 36*h**2 + 13*h**2 - 135*h**2.
-198*h**2
Collect the terms in -28 + 28 - 5*n**3 + 7*n**3.
2*n**3
Collect the terms in -5*o**3 - 5*o**3 - 4*o**3 + 12*o**3.
-2*o**3
Collect the terms in -8*d**2 + 2 - 2 + 0*d**2.
-8*d**2
Collect the terms in 20*w**2 - w**3 - 20*w**2 - 10*w**3 + 10*w**3.
-w**3
Collect the terms in -151 + 151 + 8*v**3.
8*v**3
Collect the terms in -2 - 12*i - 23*i + 2 + 48*i.
13*i
Collect the terms in -82*d - 50*d + 86*d.
-46*d
Collect the terms in -111*l**2 - 24*l**2 + 138*l**2 - 11*l + 11*l.
3*l**2
Collect the terms in -2*c - 17455 + 17455.
-2*c
Collect the terms in -j**2 + j**2 - 95*j**3.
-95*j**3
Collect the terms in 10*k + 12*k - 15*k.
7*k
Collect the terms in -k**3 - 326*k**2 + 326*k**2.
-k**3
Collect the terms in 13*m**2 + 2*m - 2*m**2 - m + 5*m.
11*m**2 + 6*m
Collect the terms in -89*c**3 - 83*c**3 + 176*c**3.
4*c**3
Collect the terms in -15*p**3 - 17*p**3 + 33*p**3.
p**3
Collect the terms in -2*p + 7*p + p - 11*p + 4*p.
-p
Collect the terms in -3*m + m + 0*m + 0*m.
-2*m
Collect the terms in 13*d**3 + 5*d**3 - 3*d + 3*d - 4*d.
18*d**3 - 4*d
Collect the terms in 19*s - 44*s - 161*s - 1.
-186*s - 1
Collect the terms in 8*r - 8*r - 775*r**3.
-775*r**3
Collect the terms in m + 64*m**2 + 46*m**3 - 44*m**3 - m.
2*m**3 + 64*m**2
Collect the terms in 14*s**3 + 10*s**3 + 33*s**3 + s**2.
57*s**3 + s**2
Collect the terms in 4123 + 4*u**3 - 3*u + 3*u - 4123.
4*u**3
Collect the terms in -309 + 105 + 101 - 35*g**2 + 103.
-35*g**2
Collect the terms in 938*q**2 - 938*q**2 + 2*q**3.
2*q**3
Collect the terms in 6*q**2 - 6*q**2 + 0*q**2 + 3*q**2 - 9*q**2.
-6*q**2
Collect the terms in -2*w**3 - 9*w**3 - w**3 + 15*w**3.
3*w**3
Collect the terms in 1924 - 1924 - 6*w.
-6*w
Collect the terms in 10*m**2 - 11*m**2 + 6*m**2.
5*m**2
Collect the terms in -57*l**3 - 142*l**3 + 32*l**3.
-167*l**3
Collect the terms in 7*u - 7*u - 26*u**2 - 6*u**2.
-32*u**2
Collect the terms in -57907*m - 4 + m**2 + 57907*m + 4.
m**2
Collect the terms in 21*p**2 + 23*p**2 + 17*p**2 - 41*p**2.
20*p**2
Collect the terms in s**3 + 0*s**3 + 12*s**3 + s**3.
14*s**3
Collect the terms in -5*m**2 + 5*m**2 + 17*m - 2*m**2.
-2*m**2 + 17*m
Collect the terms in 1 - 84*k**3 + 80*k**3 + 18.
-4*k**3 + 19
Collect the terms in -6*q**2 + 170 - 170.
-6*q**2
Collect the terms in 235*i**3 + 2 - 2.
235*i**3
Collect the terms in -32*z - 39*z + 144*z - 35*z - 36*z.
2*z
Collect the terms in 59600*v + 1 - 1 - 59615*v.
-15*v
Collect the terms in -5752 - 3*l**2 + 5752.
-3*l**2
Collect the terms in 0*w**3 + 5*w**3 + 0*w**3.
5*w**3
Collect the terms in -2 - 308*p**2 + 2 - 203*p**2.
-511*p**2
Collect the terms in w**2 - 1316*w + 1316*w.
w**2
Collect the terms in -101*p + 4*p**3 - 2 + 101*p + 5.
4*p**3 + 3
Collect the terms in 19*i**2 - 14*i**2 + 2*i**2.
7*i**2
Collect the terms in -3*t**2 + 11*t**2 - 9*t**2.
-t**2
Collect the terms in -9*q**2 + 9*q**2 + 58*q**3 - 3*q**3.
55*q**3
Collect the terms in -1 + 10*r**3 + 4 - 6 + 3.
10*r**3
Collect the terms in 33*r**2 + 18*r**2 + r**3 - 75*r**2 + 24*r**2.
r**3
Collect the terms in -36*w**3 + 34*w**3 + 19*w + 27*w - 46*w.
-2*w**3
Collect the terms in g**2 - 447*g + 447*g - 3*g**2.
-2*g**2
Collect the terms in 1 - 1 + 9*t - 8*t.
t
Collect the terms in -g**2 + 6*g**2 + 10*g**2.
15*g**2
Collect the terms in -3*a - 11*a + a + 4*a.
-9*a
Collect the terms in -9*g - 8*g + 18*g.
g
Collect the terms in 411*n - 411*n - 4*n**3.
-4*n**3
Collect the terms in -1 - 8*f**3 - 69*f**3 + 2.
-77*f**3 + 1
Collect the terms in 46 - 2*f**2 + 7*f - 46.
-2*f**2 + 7*f
Collect the terms in -10*q - 64 + 64.
-10*q
Collect the terms in 429*l**2 - 866*l**2 + 435*l**2.
-2*l**2
Collect the terms in 24 - 24 + 77*f - 79*f.
-2*f
Collect the terms in -5*c - 3*c + 236*c.
228*c
Collect the terms in -1980 - 4*l**2 + 1980.
-4*l**2
Collect the terms in 8*o - 4 - 3*o + 7*o.
12*o - 4
Collect the terms in 535*f - 266*f - 268*f.
f
Collect the terms in 23*d**2 - 1143 + 1143.
23*d**2
Collect the terms in 0*j**2 + 133*j + 0*j**2 + 2*j**3 - 87*j.
2*j**3 + 46*j
Collect the terms in 290*a**3 - 144*a**3 - 136*a**3.
10*a**3
Collect the terms in 7*q - 3*q - 7*q.
-3*q
Collect the terms in i**2 + 5*i**2 - 300*i**3 - 5*i**2.
-300*i**3 + i**2
Collect the terms in 2*u**3 + 20*u**2 - 12*u**2 - 8*u**2.
2*u**3
Collect the terms in 56*w**3 + 60*w**3 - 87*w**3.
29*w**3
Collect the terms in 6 - 21 - 11*o + 15.
-11*o
Collect the terms in 2*z**2 - 4*z**2 - 4*z**2 + 10*z**2.
4*z**2
Collect the terms in 114*g**3 - 88*g**3 - 88*g**3.
-62*g**3
Collect the terms in -8*x - 6*x + 12*x.
-2*x
Collect the terms in -202*q + 108*q + 95*q.
q
Collect the terms in -5*w + w + 8*w.
4*w
Collect the terms in 26*p**2 - 9*p**2 - 15*p**2 + 0*p**2.
2*p**2
Collect the terms in 3 + 2 - 5 - 86*z.
-86*z
Collect the terms in -34*z**2 + 14*z**2 + 24*z**2.
4*z**2
Collect the terms in -240*k**2 + 238*k**2 - k + 43 + k.
-2*k**2 + 43
Collect the terms in 0*m**2 + m**2 - 12 + 0*m**2 + 12.
m**2
Collect the terms in 3*x**2 - 5*x**2 - 333 + 164 + 169.
-2*x**2
Collect the terms in b**2 + 3*b**2 - 13*b**2.
-9*b**2
Collect the terms in -21144*z + 21144*z - 23*z**2.
-23*z**2
Collect the terms in 2*d + 15 + 4*d**3 - 2*d - 3*d**3.
d**3 + 15
Collect the terms in -8 + 7 + 32*n**2 + 1.
32*n**2
Collect the terms in 9*l - 4*l - 3*l**2 - 5*l.
-3*l**2
Collect the terms in -4 + k + 2 + 4*k + k.
6*k - 2
Collect the terms in -44 - 3*u + 121 - 37 - 40.
-3*u
Collect the terms in 35 - 6*z - 17 - 18.
-6*z
Collect the terms in -19 + 10 - 5*k + 9.
-5*k
Collect the terms in 2 - 473*z - 7 + 5.
-473*z
Collect the terms in 121*w**2 - 253*w**2 + 130*w**2.
-2*w**2
Collect the terms in 34 - 71 + 37 + 2*k.
2*k
Collect the terms in -5*n + 12*n - 4*n.
3*n
Collect the terms in 3 - 19*t**2 - 1 + 18*t**2.
-t**2 + 2
Collect the terms in -63618*y**2 + 63618*y**2 + 3 - 12*y**3 - 3.
-12*y**3
Collect the terms in 2*l - 4*l - 24*l.
-26*l
Collect | {
"pile_set_name": "DM Mathematics"
} |
)/3)/(2/6). Let n be 5412/d - (-24)/(-56). Let g = -272 - n. List the prime factors of g.
5, 23
Let o = -1 + 3. Suppose o*k - 164 = 420. What are the prime factors of k?
2, 73
Let x(y) = 5*y**3 + 21*y**2 - 13. Let p(t) = 6*t**3 + 23*t**2 + t - 13. Let q(a) = -6*p(a) + 7*x(a). List the prime factors of q(6).
59
Suppose 5 = -d + 16. Suppose -7*y + 40 = -d*y. Let q(i) = -i**3 - 11*i**2 - 12*i + 10. What are the prime factors of q(y)?
2, 3, 5
Let d = 3 - -1. Let v(b) = 6*b + 25*b + 2*b + 22*b + 12. List the prime factors of v(d).
2, 29
Let r be (-3)/(6/4)*15171/(-6). Suppose 0 = -16*t + 3*t + r. List the prime factors of t.
389
Let r(q) = -q**3 + 29*q**2 + 8*q - 39. Let h be r(27). Let z = h - 1104. What are the prime factors of z?
3, 59
Suppose -179*l + 21*l = -2004862. List the prime factors of l.
12689
Let x(i) = -5*i**2 - i. Let n be x(-2). What are the prime factors of -15*(n - -1) - (22 + -22)?
3, 5, 17
Let f(r) = r**2 - 24*r - 65. Let d be 6/(-15) - (-5 + 456/(-15)). List the prime factors of f(d).
2, 5
What are the prime factors of (-90)/420 + (-363603)/(-42)?
11, 787
Suppose 4*s = -5*w + 136980, -2*w - 3*s + 4611 = -50181. List the prime factors of w.
2, 3, 761
Let n(r) = -r**3 + 15*r**2 + 21*r - 9. Let j(d) = -6*d - 28. Let f be j(-7). List the prime factors of n(f).
13, 37
Let a be 130/18 - (-16)/(-72). Suppose -1111 + 110 = -a*l. List the prime factors of l.
11, 13
Let p(t) = t + 12. Let v be p(-8). Suppose v*n = -4, -4*n - 94 = 2*j - 4*j. List the prime factors of 0 + j/(9/(-3))*-5.
3, 5
List the prime factors of (-1 - 8) + 3 + 104/(-8) + 4842.
7, 13, 53
Let k(l) = -2*l**2 - 7*l + 175. Let y be k(16). Let a = -320 - y. List the prime factors of a.
3, 43
Let k(p) be the second derivative of 5*p**4/4 + 10*p**3/3 + 2*p**2 - 3*p - 3. List the prime factors of k(-12).
2, 13, 37
Suppose 4*i + 2*d = 414 + 438, 0 = -2*i + 3*d + 434. Suppose 0 = -4*k + 20, -5*m + 280 = -5*k. Let u = i - m. What are the prime factors of u?
3, 17
Let u(x) = 268*x + 85 + 81 - 173. What are the prime factors of u(3)?
797
Let h(m) = m**2 - 35*m - 71. Let u be h(-21). Let w = -629 + u. List the prime factors of w.
2, 7, 17
Let h(j) = 1413*j**2 + 22*j + 5. List the prime factors of h(2).
5701
Suppose a = 84 - 50. Let s = -32 + a. Suppose -s*z + 4*k = -136, 3*z = -z - k + 308. What are the prime factors of z?
2, 19
Let b(c) = c**3 - 6*c**2 - c - 83. Let h be b(0). Let f = 103 + h. List the prime factors of f.
2, 5
Suppose -272 - 1010 = -k. Suppose -2*t + k = i, -2*t - 1277 = -i - 3*t. Suppose -3*b - 375 = -i. List the prime factors of b.
13, 23
Suppose q - 6 = 4*q + 5*x, 3*x = 4*q - 21. Suppose -20 = 5*y, -q*y + 706 + 124 = 2*f. List the prime factors of f.
421
Suppose 0 = -w + 2*f + 12587, 4*w - 53*f - 50383 = -50*f. What are the prime factors of w?
12601
Let l = 62 + -56. Suppose c - 196 = -5*z, 0 = 2*c + l*z - z - 392. What are the prime factors of c?
2, 7
What are the prime factors of ((-592)/32 + -16)*3334/(-3)?
23, 1667
Let t = -192 + 440. Let b be 10/(-4)*(-6)/5. Suppose b*q = 10 + t. What are the prime factors of q?
2, 43
Let f(v) = 185*v + 5528. What are the prime factors of f(73)?
7, 2719
Let s = -87 + 105. Suppose -s*q = -5766 - 3360. What are the prime factors of q?
3, 13
Let c = -16649 - -36911. List the prime factors of c.
2, 3, 11, 307
Let t(a) = -17*a**3 - 18*a**2 - 18*a - 44. What are the prime factors of t(-8)?
2, 1913
Let x be (-2)/3 + 8604/27. Suppose 5*w - 4*w = x. List the prime factors of w.
2, 3, 53
Let y(o) = -2*o**2 + 32*o + 2. Let a be y(16). Suppose -2*d + 718 = a*g, -4 = -4*d + 8. What are the prime factors of g?
2, 89
Suppose 0 = -3*f - 5 - 22. Let o(k) = -k**3 - 10*k**2 - 10*k - 4. Let t be o(f). Suppose c - 4*j = 127, -3*c + t*c = -j + 236. What are the prime factors of c?
7, 17
Let l be (-9324)/(-60) + (-6)/(-10). Suppose -f + l = 3*q, -4*f + 0*f + 588 = 3*q. What are the prime factors of f?
2, 3
Let t be 44/(-2)*-4*(-9)/12. List the prime factors of ((-24244)/t)/(4/6).
19, 29
Suppose 3*w + 1375 = 4*r, -426 + 92 = -r + 4*w. List the prime factors of r.
2, 173
Suppose -5*d + 15 = 8*c - 11*c, 4*d + 5*c + 25 = 0. Suppose -1636 = -4*v - d*v - 4*u, -2*v = -3*u - 823. List the prime factors of v.
2, 5, 41
Suppose 6*m + 2 = 26. Suppose -4*d - 2*l = -2790, m*d = -5*l + l + 2796. List the prime factors of d.
2, 3, 29
Let n(p) = 3*p**3 - 56*p**2 + 41*p - 15. List the prime factors of n(19).
3, 5
Suppose n = -0*n + 4*u + 33, -2*n + 4*u + 58 = 0. Suppose 4*i = h - n, 5*i - 8 + 33 = 0. Suppose h*t - 200 = -3*t. List the prime factors of t.
5
Suppose -74*r = 5*c - 75*r - 97277, -4*c + 77795 = 3*r. What are the prime factors of c?
2, 71, 137
Let i(g) = -4*g - 27. Let c be i(-14). Suppose -b + 5*l = -5, 0*b - 3*l = 2*b + c. Let m(o) = o**3 + 11*o**2 + 2*o - 18. List the prime factors of m(b).
2, 31
Let f(n) = -7*n + 13 - 51*n**2 + 2 + 69*n**2 + 86*n**2. What are the prime factors of f(3)?
2, 3, 5, 31
Let b(z) = -4*z + 5. Let o be b(1). What are the prime factors of 54/((o - 36/(-15)) + -3)?
3, 5
Suppose -53*w = -22991 - 629651. What are the prime factors of w?
2, 47, 131
Let i(r) = r**3 - 16*r**2 + 104*r + 6. What are the prime factors of i(26)?
2, 5, 947
Let a(y) be the first derivative of -3*y**2 + 15*y + 4*y**2 + 0*y**2 + 28. What are the prime factors of a(9)?
3, 11
Suppose 0 = -3*i + 4*q + 24, 5*q - 5 + 28 = 2*i. Suppose 0 = 2*r - 2*p + 3*p + i, -r = 5*p + 11. What are the prime factors of (44/6 - r)/(6/18)?
5
Suppose 5*h + 7 = -3*s, -1 + 7 = 2*h - s. Suppose c + h = 2*c + 5*y, 3*y + 3 = 0. Suppose -u + c*u = 340. List the prime factors of u.
2, 17
Let n be 420/75*-1*(-10)/4. Suppose -2*l + n = 176. Let v = 125 + l. What are the prime factors of v?
2, 11
Suppose -84*j - 60640 = -86*j - g, 5*g - 151590 = -5*j. List the prime factors of j.
2, 15161
Let l be 2/(-10)*0 - 45. Let q = l - -62. Suppose -q = -2*b + 131. List the prime factors of b.
2, 37
Suppose 5*y - 103 + 78 = 0. Suppose y = 5*f - 25. What are the prime factors of -3 + f + 3 - (-6 + 3)?
3
Let s(i) = -16*i**2 + 2*i - 2. Let t be s(1). Let k be (-2 - 0) + (0 - t/(-2)). Let l = k + 47. List the prime factors of l.
37
Let u = 12415 + -6134. List the prime factors of u.
11, 571
Suppose 10*f + 236 - 226 = 0. What are the prime factors of 4 + f + -3 - (3 - 663)?
2, 3, 5, 11
Let k(c) = 2*c**2 + 33*c - 17193. What are the prime factors of k(129)?
2, 3, 3391
Suppose -46946 - 171529 = -45*x. List the prime factors of x.
5, 971
What are the prime factors of ((-19)/988*16367)/((-2)/(-424)*-1)?
53, 1259
Let z = 111785 + -77182. What are the prime factors of z?
34603
Let h = 48811 + -25588. List the prime factors of h.
3, 7741
Suppose -a + 4*p = -13190, 5*p - 39519 = 403*a - 406*a. What are the prime factors of a?
2, 11, 599
Suppose 0 = 12*x - 89852 + 25124. List the prime factors of x.
2, 3, 29, 31
Let h(v) = -26*v + 1083. List the prime factors of h(17).
641
Suppose 707 = 3*p - 5*g - 360, 4*p - 5*g - 1416 = 0. Let q = p - -662. What are the prime factors of q?
3, 337
Suppose 35*t + 10878 = 38*t + 3*f, -2*t + 7224 = -5*f. List the prime factors of t.
2, 1811
Let t = -615 - 264. Let v = 1460 + t. What are the prime factors of v?
7, 83
Let d = 145 - 143. Suppose d*r - 48 = q, -q + 4*q = 5*r - 141. What are the prime factors of (-7)/2*312/q?
2, 13
Suppose -p = -4*y, -5*p - 4*y = -5*y + 19. What are the prime factors of -5 + p/((-927)/921 - -1)?
3, 7, 29
Let o = -30 - -33. Let p be 36 + (-5)/1 + 1 + o. Let x = p + 12. What are the prime factors of x?
47
List the prime factors of (24 - 3658/155)/(1/(6070/4)).
607
Let j = -32686 + 56591. List the prime factors of j.
5, 7, 683
Suppose 3*u - 6 = -u + 2*q, 5*u + 12 = -4*q. Suppose u*x + 816 = -12*x. Let b = x + 154. List the prime factors of b.
2, 43
Suppose 3*i = -0*i. Let u(c) = 23*c - 76*c + 12 + 24*c + 28*c. What are the prime factors of u(i)?
2, 3
Let n(d) = 229*d**2 + 37*d - 574. List the prime factors of n(13).
2, 19, 127
Let a = 23 - 19. Let i be (-2)/(-3) - (30/(-9) + a). Suppose -246 = -4*d + l, i = -4*d - 2*l + 4*l + 248. List the prime factors of d.
61
List the prime factors of (86647/(-77)*-7)/1.
7877
Suppose -2*q = -v + 6, 5*v - q - 1 + 16 = 0. Let h(a) = -16*a - 4. Let j(b) = 17*b + 4. Let z(w) = v*h(w) - 3*j(w). List the prime factors of | {
"pile_set_name": "DM Mathematics"
} |
+ -7. Let j = z - -13. List the prime factors of j.
11
Let l(r) = r - 7. Let p be l(9). Let q(k) = -2 - 3*k + 6*k + 2*k**2 + 0*k**2. List the prime factors of q(p).
2, 3
Suppose 2*y - 5*y + 7 = 2*i, y + 3 = 0. Suppose m = 3*m - i. What are the prime factors of 10/(4*2/m)?
5
Suppose -q + 18 = -0*q. Let v = q - 12. Let y(u) = u**3 - 6*u**2 + 3*u - 5. What are the prime factors of y(v)?
13
Let c(y) be the first derivative of -y**4/4 + 11*y**3/3 - 4*y**2 + 4*y - 1. Let u(k) = -k + 1. Let b(q) = -c(q) - 3*u(q). List the prime factors of b(10).
3
Suppose 71 + 9 = 5*i. What are the prime factors of -1 - 1/((-2)/i)?
7
Suppose 4*g - 451 = -3*w, -5*g = 3*w + 229 - 795. List the prime factors of g.
5, 23
Let v(p) = -9*p**2 - 9 - p**3 - p**2 + 17 + 0*p**3. List the prime factors of v(-10).
2
Let r(m) = 5*m**2 + 12*m - 12. What are the prime factors of r(6)?
2, 3, 5
Let c(x) = x**3 + x**2 + 17. Let r be c(0). Let m = r + 4. Suppose -m = -l + 2*n, l - 4*l + 3*n = -57. List the prime factors of l.
17
Let h(r) = r + 11. Let l = -12 + 3. Let t be h(l). Suppose 2*x - j - t*j - 9 = 0, -4*j + 30 = 2*x. What are the prime factors of x?
3
Suppose -2*j - 2 = -3*j. Suppose j = -t - 1, -4*l + 2*t = -186. List the prime factors of l.
3, 5
What are the prime factors of (775/5)/(5 - 4)?
5, 31
Suppose 3*j - 143 + 47 = 0. What are the prime factors of j?
2
Suppose 0*h + 33 = a - 3*h, -5*a + 3*h + 165 = 0. Let n = a - -15. List the prime factors of n.
2, 3
Let i = 7 + 11. Suppose i*m = 16*m + 6. List the prime factors of m.
3
Let r = -6 + 14. Suppose 10 = 2*c + 3*c. Let d = r + c. List the prime factors of d.
2, 5
Suppose 6 = 2*q + q. Let a = q - 0. Suppose a*u = 5 - 1. List the prime factors of u.
2
Let f(u) = u**2 + u - 4. Let s be f(3). Suppose 4*p - s = -x, -3*p - 5*x - 16 = -5. List the prime factors of ((-2)/6)/(p/(-153)).
17
Let f(t) = -t**2 - 6*t + 4. Let i be f(-6). Let l(m) = -m**3 + 4*m**2 + 4. List the prime factors of l(i).
2
Let i be (-2*(-3)/(-2))/(-1). Let p(q) be the second derivative of -q**4/12 + 4*q**3/3 - 3*q**2/2 - 2*q. List the prime factors of p(i).
2, 3
Suppose 4*v = -0*v - 3*y + 19, -5*v + 5*y + 15 = 0. List the prime factors of v/12*0 - -21.
3, 7
Let b(k) = k**2 - 3*k - 8. Let y be b(6). Let d = -73 + 105. List the prime factors of ((-15)/y)/((-2)/d).
2, 3
Let q(v) = 6*v**3 + 2*v - 2. List the prime factors of q(2).
2, 5
Suppose -2*f + 3*f - i - 26 = 0, -3*f - i = -78. What are the prime factors of f?
2, 13
Let z = 16 + -11. Suppose n - 30 = u, 0 = 4*n + n + z*u - 100. Suppose 0 = -3*j + 4*v + 3 + n, -22 = -j - 5*v. List the prime factors of j.
2, 3
Suppose 2*w + o = 7, w - 6 = -0*o + 2*o. Let g be -5 + (w - (-2 - -3)). Let u = g - -14. List the prime factors of u.
2, 3
Let f(k) = -k**3 - 7*k**2 + 4*k - 5. Suppose a - d = -5, -3*a + 2*a = 5*d + 23. What are the prime factors of f(a)?
3
Let b = -4 + 6. Suppose 5 = b*m + 1. What are the prime factors of 8 - (-1*m - -1)?
3
Suppose -74 = 4*r - 98. List the prime factors of r.
2, 3
Let j(u) = -u + 8. Let k be j(7). Let i(z) = 4*z + 1. Let r be i(k). Suppose r + 4 = 3*f. What are the prime factors of f?
3
Suppose 2*o + w = -2*w + 97, -5*o + 4*w = -185. Suppose -43 = -5*u - g, 5*u + 5*g - 3*g = o. Let z = 2 + u. What are the prime factors of z?
11
Let b be 8/(-6)*(-6)/4. Suppose 2*l + 3*o = 28, -3*l - 4*o + 42 = -b. What are the prime factors of l?
2, 5
Suppose 5*c - 167 = b, 4*c + 3*b - 180 = -54. What are the prime factors of c?
3, 11
Suppose -4*h + 38 = -34. Suppose h + 3 = u. What are the prime factors of 2/(0 - (-6)/u)?
7
List the prime factors of (-14)/(-4)*112/49.
2
Let i(f) be the first derivative of 29*f**3/3 - f**2/2 - f + 7. List the prime factors of i(-1).
29
What are the prime factors of 32/18 - (-26)/117?
2
Let r = 218 - 105. List the prime factors of r.
113
Suppose -2*q = -6, -2*d + 195 - 60 = 3*q. What are the prime factors of d?
3, 7
Let i = 8 - 6. Let w(a) = -a + 0*a**2 + 4*a**i + 11 - 5*a**2 + 0*a**2. List the prime factors of w(0).
11
Let q = 154 + -109. List the prime factors of q.
3, 5
Suppose 2 = 4*f - 22. Suppose -f*y + 31 = -2*y + 3*m, y + m = 9. List the prime factors of y.
2
Let v = -2 - -7. Let d = -4 - -7. Let q = v - d. List the prime factors of q.
2
Let z(b) = -17*b + 4. List the prime factors of z(-2).
2, 19
Suppose 4 = -3*w + 25. Suppose 2 = 5*x + w. What are the prime factors of 6*x*(-4)/3?
2
Let j(u) = -2*u + 9. Let b be j(7). Let z = b - -25. Let p = z - 9. What are the prime factors of p?
11
Let v be (-39)/18 - (-4)/24. Let c be (-151)/v - (-1)/2. What are the prime factors of 1/(-2) - c/(-8)?
3
Let n be ((-9)/(-6))/((-3)/(-16)). Let k(o) = 3 + o - o**3 - 8*o**2 - o**3 + 3*o**3. List the prime factors of k(n).
11
Let o(j) = -5*j + j + 10*j + 13*j**2 + j**3 - 16 + 4*j. What are the prime factors of o(-12)?
2
Let u(p) = -p**3 + 9*p**2 + 8. What are the prime factors of u(9)?
2
Let p(f) = f**2 + 37. List the prime factors of p(0).
37
Let w(j) be the third derivative of j**5/60 + j**4/8 + 2*j**3/3 + 3*j**2. What are the prime factors of w(-3)?
2
Suppose 0 = -2*r + 5*t + 241, 5*r - 6*t - 610 = -t. List the prime factors of r.
3, 41
Let i(z) = 4*z**2 + 2*z - 3. Let f(b) = -b**2. Let o(m) = 3*f(m) + i(m). What are the prime factors of o(2)?
5
Let o = 24 - 18. Suppose 2*n + 104 = o*n. What are the prime factors of n?
2, 13
Suppose 0 = -s - 4*s + 130. Let i = s + -16. Let j = i - 2. What are the prime factors of j?
2
Let n(v) = v**3 - v**2 - v + 26. What are the prime factors of n(0)?
2, 13
Let h(w) = -3*w**3 - 2*w**2 - 2. Let i be h(-2). Let x be (-4)/i + (-422)/(-7). Suppose -x = -3*y - y. What are the prime factors of y?
3, 5
List the prime factors of 7 - 3437/(-28) - (-2)/8.
2, 5, 13
Let f = -2 + 0. Let c = 6 - f. What are the prime factors of c?
2
Let c = 37 + -13. Let b(w) = w**3 + w**2 - w. Let u be b(0). Suppose -q - q + c = u. What are the prime factors of q?
2, 3
Suppose v - 5*g = 4, 0 = 5*v + g - 0 + 6. Let j(n) = 27*n**2 - n. Let r be j(v). Suppose 0 = 2*o - 4*c - r, 0*o + 4*c = -5*o + 28. List the prime factors of o.
2
Let o(i) = -5*i**3 - 2*i**2 - 4*i - 3. List the prime factors of o(-2).
37
Suppose 52 = 2*j + 2*h, h + 61 = -j + 3*j. Suppose 7 = 3*x - j. List the prime factors of x.
2, 3
Let u = 11 - 8. Suppose -2*h + h = 2*o - 15, -u*o + 3*h + 45 = 0. What are the prime factors of o?
2, 5
Let f = 11 - 12. What are the prime factors of (f - 11)*(-1 - 0)?
2, 3
Let g(d) = 6*d**2 - 4*d + 8. List the prime factors of g(3).
2, 5
Suppose 0 = -3*q + 5*q - 40. Suppose -q = -8*o + 4*o. Suppose 4*l - 6 = -o*i, l + 16 = 5*i + 5. What are the prime factors of i?
2
Let j = -1 - -2. Let w(u) = 9*u + 1. What are the prime factors of w(j)?
2, 5
Suppose -8 = -4*b + 2*b. Suppose 0 = -5*w + 1 + b. Suppose j - 5 = -w. What are the prime factors of j?
2
Let w be 2/(-4) + 1/2. Suppose k + l = 14, 3*k + w*l - 37 = -2*l. List the prime factors of k.
3
Let k be 3 - 2/(8/12). Suppose -33 + 8 = -5*t, -4*l + t + 15 = k. What are the prime factors of l?
5
Let u be (8/5)/((-12)/(-30)). Suppose 5*q = 5*x - 8 - 12, u*q - 5*x = -14. What are the prime factors of (q + (-4 - -1))*-1?
3
Let n = -13 - -5. Let g(c) = c**2 + 7*c + 7. What are the prime factors of g(n)?
3, 5
Let t(a) = a**2 - 2*a + 1. Let u be t(1). Let b = 11 - 5. Let c = b - u. What are the prime factors of c?
2, 3
Let z = -31 + 59. List the prime factors of z.
2, 7
Suppose 17 = 4*c - 91. What are the prime factors of c?
3
Suppose -d + 12 = 3*d, -d = 5*q + 2. Let o be 0/(2 + q) - -2. Suppose -5 + o = -y. What are the prime factors of y?
3
Let u(x) = x**2 - 4. Let j be u(-2). Let r(z) = -z**3 - z**2 - z + 3. What are the prime factors of r(j)?
3
Suppose 7 = 5*a - 8. Suppose 10 = 2*i - 4. Suppose 48 = -a*g + i*g. List the prime factors of g.
2, 3
Let b = 149 + -27. What are the prime factors of b?
2, 61
Let p(d) = 86*d**2 - 2. What are the prime factors of p(1)?
2, 3, 7
Let c = -271 - -402. What are the prime factors of c?
131
Suppose -15 = 4*g - 3, -5*k + 546 = 3*g. What are the prime factors of k?
3, 37
Let k be -5*-1*(7 - 1). Suppose -4*m - f = -0*f - k, 2*m - f = 18. List the prime factors of m.
2
Let h = -7 + 10. Let x = 5 - 3. Suppose 35 = h*s - 5*o, 3*s + 3*o - 1 - x = 0. What are the prime factors of s?
5
Let t(z) = -4*z + | {
"pile_set_name": "DM Mathematics"
} |
arest integer?
1265
What is the sixth root of 1162758151 to the nearest integer?
32
What is 1168815397 to the power of 1/2, to the nearest integer?
34188
What is 1670637607 to the power of 1/2, to the nearest integer?
40873
What is the fifth root of 1807110850 to the nearest integer?
71
What is the square root of 180927039 to the nearest integer?
13451
What is 89077744 to the power of 1/3, to the nearest integer?
447
What is the eighth root of 584229439 to the nearest integer?
12
What is the cube root of 1068395242 to the nearest integer?
1022
What is the third root of 169325867 to the nearest integer?
553
What is the fifth root of 707567799 to the nearest integer?
59
What is the square root of 35977665 to the nearest integer?
5998
What is the square root of 2122148886 to the nearest integer?
46067
What is the cube root of 91004573 to the nearest integer?
450
What is the eighth root of 90143558 to the nearest integer?
10
What is 9306028 to the power of 1/7, to the nearest integer?
10
What is 4695234203 to the power of 1/7, to the nearest integer?
24
What is 49976404 to the power of 1/2, to the nearest integer?
7069
What is the third root of 138315243 to the nearest integer?
517
What is the square root of 2829729 to the nearest integer?
1682
What is the third root of 110872880 to the nearest integer?
480
What is 121313053 to the power of 1/2, to the nearest integer?
11014
What is 935764250 to the power of 1/6, to the nearest integer?
31
What is the square root of 2265464112 to the nearest integer?
47597
What is the seventh root of 6550037449 to the nearest integer?
25
What is 5512308031 to the power of 1/6, to the nearest integer?
42
What is 403677816 to the power of 1/6, to the nearest integer?
27
What is 35560517 to the power of 1/3, to the nearest integer?
329
What is 90914298 to the power of 1/9, to the nearest integer?
8
What is the cube root of 116932202 to the nearest integer?
489
What is the third root of 1228711218 to the nearest integer?
1071
What is 680432326 to the power of 1/3, to the nearest integer?
880
What is the third root of 54950696 to the nearest integer?
380
What is 394748340 to the power of 1/3, to the nearest integer?
734
What is the cube root of 902995951 to the nearest integer?
967
What is 929907827 to the power of 1/2, to the nearest integer?
30494
What is the seventh root of 2835870208 to the nearest integer?
22
What is the sixth root of 1529609213 to the nearest integer?
34
What is the cube root of 364776282 to the nearest integer?
715
What is 266476549 to the power of 1/2, to the nearest integer?
16324
What is 2578553067 to the power of 1/9, to the nearest integer?
11
What is 6966772 to the power of 1/4, to the nearest integer?
51
What is the third root of 182000811 to the nearest integer?
567
What is the cube root of 356798850 to the nearest integer?
709
What is the tenth root of 742188050 to the nearest integer?
8
What is the third root of 66648289 to the nearest integer?
405
What is the square root of 1465514886 to the nearest integer?
38282
What is 690238208 to the power of 1/7, to the nearest integer?
18
What is 478101721 to the power of 1/2, to the nearest integer?
21866
What is the ninth root of 21828933 to the nearest integer?
7
What is the third root of 50906044 to the nearest integer?
371
What is the square root of 2892993372 to the nearest integer?
53787
What is the third root of 274505047 to the nearest integer?
650
What is the square root of 405279517 to the nearest integer?
20132
What is the square root of 1357307524 to the nearest integer?
36842
What is 54895188 to the power of 1/2, to the nearest integer?
7409
What is 207112681 to the power of 1/10, to the nearest integer?
7
What is the sixth root of 2178943023 to the nearest integer?
36
What is the third root of 242402252 to the nearest integer?
624
What is the seventh root of 5181180087 to the nearest integer?
24
What is 605404727 to the power of 1/5, to the nearest integer?
57
What is 90980541 to the power of 1/7, to the nearest integer?
14
What is 94032490 to the power of 1/7, to the nearest integer?
14
What is the cube root of 3045711055 to the nearest integer?
1450
What is the seventh root of 117675810 to the nearest integer?
14
What is 229747943 to the power of 1/3, to the nearest integer?
612
What is the third root of 36673092 to the nearest integer?
332
What is 264570623 to the power of 1/3, to the nearest integer?
642
What is the tenth root of 324168788 to the nearest integer?
7
What is the third root of 49824700 to the nearest integer?
368
What is 53973485 to the power of 1/2, to the nearest integer?
7347
What is 45143852 to the power of 1/2, to the nearest integer?
6719
What is the sixth root of 12453395 to the nearest integer?
15
What is the square root of 6101019 to the nearest integer?
2470
What is the third root of 41467107 to the nearest integer?
346
What is 51857327 to the power of 1/3, to the nearest integer?
373
What is 4553348581 to the power of 1/6, to the nearest integer?
41
What is 84639209 to the power of 1/4, to the nearest integer?
96
What is the third root of 128139735 to the nearest integer?
504
What is the square root of 99242360 to the nearest integer?
9962
What is 56029680 to the power of 1/9, to the nearest integer?
7
What is the cube root of 14394989 to the nearest integer?
243
What is 15227589 to the power of 1/2, to the nearest integer?
3902
What is the third root of 433854753 to the nearest integer?
757
What is the cube root of 2154491844 to the nearest integer?
1292
What is 54963544 to the power of 1/2, to the nearest integer?
7414
What is 246249465 to the power of 1/7, to the nearest integer?
16
What is the third root of 319609065 to the nearest integer?
684
What is the square root of 145899505 to the nearest integer?
12079
What is 6672921880 to the power of 1/3, to the nearest integer?
1883
What is the square root of 121298674 to the nearest integer?
11014
What is the third root of 47686522 to the nearest integer?
363
What is 52100608 to the power of 1/2, to the nearest integer?
7218
What is the square root of 458581695 to the nearest integer?
21415
What is 11791177 to the power of 1/2, to the nearest integer?
3434
What is 630201591 to the power of 1/3, to the nearest integer?
857
What is 5835448 to the power of 1/5, to the nearest integer?
23
What is 1076826564 to the power of 1/9, to the nearest integer?
10
What is 1188748418 to the power of 1/3, to the nearest integer?
1059
What is the fourth root of 47673009 to the nearest integer?
83
What is 4504213308 to the power of 1/4, to the nearest integer?
259
What is the eighth root of 3044952080 to the nearest integer?
15
What is 80097756 to the power of 1/8, to the nearest integer?
10
What is the sixth root of 36506707 to the nearest integer?
18
What is 4692519791 to the power of 1/3, to the nearest integer?
1674
What is the fourth root of 51925483 to the nearest integer?
85
What is 122918297 to the power of 1/7, to the nearest integer?
14
What is 364084730 to the power of 1/2, to the nearest integer?
19081
What is 246536304 to the power of 1/2, to the nearest integer?
15701
What is the tenth root of 119962300 to the nearest integer?
6
What is the seventh root of 73834576 to the nearest integer?
13
What is the square root of 1190544727 to the nearest integer?
34504
What is the cube root of 4211709589 to the nearest integer?
1615
What is 18227014 to the power of 1/6, to the nearest integer?
16
What is 24096613 to the power of 1/2, to the nearest integer?
4909
What is the third root of 536165926 to the nearest integer?
812
What is 145493927 to the power of 1/3, to the nearest integer?
526
What is 298596576 to the power of 1/3, to the nearest integer?
668
What is the sixth root of 31568658 to the nearest integer?
18
What is the fifth root of 12202613 to the nearest integer?
26
What is the square root of 188362941 to the nearest integer?
13725
What is the square root of 78554440 to the nearest integer?
8863
What is the cube root of 1156230444 to the nearest integer?
1050
What is the square root of 207069155 to the nearest integer?
14390
What is 356171634 to the power of 1/7, to the nearest integer?
17
What is the square root of 143860507 to the nearest integer? | {
"pile_set_name": "DM Mathematics"
} |
st value in -0.5, -2/13, 174?
174
What is the biggest value in 4, 0.3, -80/9?
4
Which is the smallest value? (a) 1/2 (b) -4 (c) -0.66 (d) 0.037
b
What is the smallest value in 0.5, 1.3, -1/9?
-1/9
Which is the fourth smallest value? (a) 0.02 (b) 0.07 (c) -1 (d) -3/2
b
Which is the biggest value? (a) 0.4 (b) -3/4 (c) -2/63
a
Which is the second biggest value? (a) 4/9 (b) 3682 (c) 1
c
What is the second biggest value in -0.1, 0.01, 7/2?
0.01
What is the smallest value in 2/11, -78, 0, 3?
-78
What is the second biggest value in 58, -3, -0.1, -0.4?
-0.1
What is the fifth biggest value in 4, 9, 0.3, 2/3, -3?
-3
Which is the fourth smallest value? (a) 9 (b) -5 (c) 2/7 (d) 2 (e) -7/9
d
Which is the fourth biggest value? (a) -5 (b) -1 (c) 2 (d) -18
d
Which is the third biggest value? (a) 69 (b) 0.5 (c) -3
c
What is the smallest value in 20, 86, 0.4?
0.4
Which is the biggest value? (a) -1 (b) 0 (c) 1/5 (d) 2/7
d
Which is the fourth smallest value? (a) 17 (b) -0.4 (c) -6/5 (d) -0.03
a
Which is the second smallest value? (a) 16/17 (b) 4/5 (c) -2/13 (d) 4
b
What is the second smallest value in 3, 1.2, 2, -1/3?
1.2
What is the smallest value in 8.4, -12, -2/13?
-12
Which is the third biggest value? (a) -0.2 (b) 0 (c) 0.009 (d) 0.5 (e) 3
c
What is the third biggest value in -5, 2, 8, 4/13?
4/13
What is the third smallest value in -8.86, -2, -5?
-2
Which is the fourth biggest value? (a) 3/5 (b) 4/5 (c) 3 (d) -10 (e) -5
e
Which is the biggest value? (a) -3 (b) 0.3 (c) -2/7
b
Which is the second biggest value? (a) -19/4 (b) -10 (c) -1/4
a
What is the smallest value in -5, -2, -4?
-5
Which is the fourth smallest value? (a) -9 (b) -3 (c) -1 (d) -2
c
What is the second biggest value in -2, 0.5, 4?
0.5
What is the third biggest value in 0.1, 566, -0.1, 2/13, 1/6?
2/13
Which is the third smallest value? (a) -1 (b) -2/3 (c) 2468
c
Which is the third biggest value? (a) 4195 (b) 0 (c) 3
b
What is the second biggest value in -1/3, -0.5, -1?
-0.5
What is the third biggest value in -0.12, 2.8, -4/3, 2?
-0.12
Which is the second smallest value? (a) 0.4 (b) 0.2 (c) -8 (d) 38
b
What is the smallest value in 4, 0.2, 2/5, -8/3?
-8/3
What is the fourth smallest value in -3/2, 1, -1/5, 3/5?
1
What is the second smallest value in -1/5, 1/7, 0, 105, -1?
-1/5
Which is the fourth biggest value? (a) 0.2 (b) -0.5 (c) -13 (d) 4
c
What is the smallest value in -0.02, 3/2, 0.1, -1/5?
-1/5
Which is the fifth smallest value? (a) -4 (b) 0.5 (c) 2/5 (d) -1 (e) 1.13
e
What is the second biggest value in -8/5, 6, -0.1, 5?
5
Which is the fourth smallest value? (a) 2/19 (b) -3/7 (c) -1/10 (d) 33
d
What is the smallest value in 1.5, 5, -9/2?
-9/2
What is the smallest value in 4.12, 3, -0.4?
-0.4
What is the smallest value in -0.3, 0.398, 2?
-0.3
Which is the second biggest value? (a) -2/97 (b) -3 (c) 3
a
Which is the third smallest value? (a) -2 (b) -75/11 (c) -2/5
c
What is the biggest value in -18.6, 1, 4?
4
What is the fourth biggest value in -5/11, -1.4, -0.7, -1?
-1.4
What is the third smallest value in -3, 0.3, 6?
6
What is the biggest value in 0.04, 232, -0.4?
232
What is the second smallest value in -0.24, 5, -0.5, 6/7?
-0.24
What is the biggest value in -0.7, -11.5, -1?
-0.7
Which is the second biggest value? (a) -0.5 (b) -3 (c) 4/99
a
Which is the fourth biggest value? (a) -3 (b) 0 (c) 2 (d) -2
a
Which is the smallest value? (a) -0.5 (b) -5 (c) -2 (d) 2/21
b
Which is the second biggest value? (a) 1 (b) 9 (c) 38/5
c
What is the smallest value in 1, 0.83, -5?
-5
Which is the biggest value? (a) -3 (b) 2 (c) 0.29
b
What is the fifth biggest value in 10, 5, -2/7, -7, 1/4?
-7
What is the smallest value in 17, -2/11, -0.3, -4?
-4
What is the biggest value in 44.3, -0.5, 3/4, 4?
44.3
Which is the third smallest value? (a) 3 (b) 4/5 (c) -40 (d) 1 (e) 2/5
b
What is the fourth smallest value in 3, -0.2, -5, 2/5, 5?
3
Which is the third biggest value? (a) 3 (b) -0.1 (c) -1/2 (d) 3/2
b
What is the fourth smallest value in -0.026, 0.4, -0.1, 1/8?
0.4
Which is the smallest value? (a) -5 (b) 3 (c) 0 (d) -6 (e) -2/17
d
What is the second smallest value in -0.1, 24, -1, 2/11?
-0.1
What is the smallest value in 1/29, -26, 5?
-26
What is the second smallest value in 3/5, 2/3, 1/4, 81?
3/5
What is the second smallest value in 5, -2/7, 4, -3/22, -3?
-2/7
Which is the third biggest value? (a) -0.5 (b) 0.4 (c) -160.2
c
What is the third biggest value in 25, -0.4, -9?
-9
What is the second smallest value in 1/6, 4, 2/3?
2/3
What is the third biggest value in 2, 13, 3?
2
What is the second biggest value in -7, 0.162, 3?
0.162
What is the third biggest value in 21, 39, -0.4?
-0.4
Which is the fourth biggest value? (a) -0.05 (b) -3 (c) 2/11 (d) -12
d
What is the second biggest value in -4/3, 0.5, 324?
0.5
Which is the biggest value? (a) -21 (b) -4/15 (c) -2/3
b
Which is the fourth biggest value? (a) -146 (b) -1/7 (c) 3/7 (d) 0
a
Which is the third biggest value? (a) -1 (b) -2.7 (c) 5
b
What is the biggest value in 17, 3, -0.2, -0.3, -6.8?
17
What is the smallest value in 0, 3, -462?
-462
Which is the fourth smallest value? (a) -2/9 (b) -1 (c) 3/2 (d) -0.2
c
What is the fourth smallest value in -0.3, 2, 4, 0.4?
4
What is the second biggest value in 0.02, -15.6, -3?
-3
Which is the second smallest value? (a) 4 (b) -12 (c) -0.7 (d) -5 (e) 0
d
Which is the second biggest value? (a) 0 (b) -1/2 (c) -3 (d) -12
b
What is the second biggest value in 0.249, 0, -4, 3?
0.249
What is the third biggest value in -2, -2/45, 0, 1?
-2/45
What is the third biggest value in -3/8, -3, -10, -1/6?
-3
What is the second smallest value in 1/5, -6, -0.42?
-0.42
Which is the third smallest value? (a) -0.03 (b) -15 (c) -0.2
a
Which is the third smallest value? (a) 1/2 (b) 1 (c) 1.3
c
Which is the second smallest value? (a) 0.3 (b) 0.5 (c) 3/4 (d) -170 (e) 2
a
Which is the third smallest value? (a) -0.2 (b) -2/5329 (c) 0
c
Which is the third biggest value? (a) -1/2 (b) 0.15 (c) 0.1 (d) -3
a
What is the fourth smallest value in -4, 0.2, -0.5, -16?
0.2
What is the second biggest value in -0.3, -8, -10, 5, 1/6?
1/6
What is the second smallest value in -1/8, 2/21, 1?
2/21
What is the second biggest value in -4, -0.1, 0.07, 26?
0.07
Which is the third biggest value? (a) 0.52 (b) 0.4 (c) -1 (d) -3
c
What is the third smallest value in -3, 4/13, -2/3, 4?
4/13
What is the second biggest value in -0.04, 0, -0.02?
-0.02
Which is the biggest value? (a) -0.74 (b) 0.1 (c) 2 (d) -2
c
Which is the second smallest value? (a) 2 (b) 6/11 (c) 1/2
b
What is the second smallest value in -5, 1, 0?
0
Which is the third biggest value? (a) -1/6 (b) 0.3 (c) 5 (d) 12/5
b
What is the third smallest value in 3/4, -2/7, 3, -0.4, -2/3?
-2/7
Which is the fourth biggest value? (a) 5/19 (b) 5 (c) -1/3 (d) 5/4
c
What is the fourth biggest value in 2, -2/5, 19, -0.1?
-2/5
Which is the second smallest value? (a) 4 (b) 0 (c) 5 (d) 2
d
Which is the biggest value? (a) 4 (b) -1 (c) 57
c
Which is the third biggest value? (a) -0.4 (b) 3 (c) -2 (d) 1
a
What is the fourth biggest value in 4, -8, 4/13, 0?
-8
What is the fourth biggest value in -2/13, -0.4, -22, 2/3?
-22
What is the third smallest value in -0.2, -2, -3/89, 0.4?
-3/89
Which is the biggest value? (a) -0.1 (b) -3/8 (c) 1/2 (d) -8
c
What is the second smallest value in 3, -3, 2/3, 0?
0
Which is the second biggest value? (a) -2/7 (b) 26 (c) 0
c
Which is the smallest value? (a) 0.23 (b) 1/4 (c) -2/7
c
Which is the third smallest value? (a) 0.5 (b) 4 (c) -18
b
Which is the biggest value? (a) 0.6 (b) -0.03 (c) -38 (d) 0.4 (e) 0.2
a
Which is the second biggest value? (a) -0.0388 (b) 3/7 (c) -9
a
Which is the third smallest value? (a) -3 (b) 1.93 (c) 0.3
b
Which is the biggest value? (a) 2/5 (b) -0.3 (c) 2 (d) -4/81
c
Which is the second biggest value? (a) -4 (b) -2/3 (c) -2/9 (d) -0.4
d
What is the second biggest value in -12, -2/43, 7?
-2/43
What is the fourth biggest value in 5, -1.8, -5, 0.2?
-5
What is the biggest value in -2/103, 0, 1, -2/7?
1
What is the fourth biggest value in -0.7, 0.05, 0, -3 | {
"pile_set_name": "DM Mathematics"
} |
ment from {w: 3, n: 6, y: 2, k: 1}.
9/55
Calculate prob of picking 2 f when two letters picked without replacement from sssfsffusmps.
1/22
Three letters picked without replacement from rrrrdkqkrrqrcr. Give prob of picking 1 c, 1 q, and 1 k.
1/91
Four letters picked without replacement from {z: 2, c: 1, d: 1, n: 2}. What is prob of picking 1 c, 1 d, and 2 z?
1/15
What is prob of picking 4 h when four letters picked without replacement from nhssnsssnshv?
0
Three letters picked without replacement from {h: 3, z: 1, c: 3, x: 2, k: 2, y: 1}. What is prob of picking 1 h, 1 z, and 1 c?
9/220
What is prob of picking 2 w and 2 t when four letters picked without replacement from wtsw?
0
What is prob of picking 1 n, 1 a, and 1 l when three letters picked without replacement from {a: 1, d: 1, n: 2, f: 1, l: 2}?
4/35
Two letters picked without replacement from {d: 3, j: 3, p: 1, g: 1, x: 1, l: 2}. Give prob of picking 1 l and 1 d.
6/55
Three letters picked without replacement from {r: 8, h: 5, f: 5, b: 1}. Give prob of picking 2 r and 1 h.
140/969
Three letters picked without replacement from {w: 3, r: 4, k: 1, o: 10}. Give prob of picking 2 o and 1 r.
15/68
Calculate prob of picking 2 x when two letters picked without replacement from {o: 8, q: 4, c: 2, f: 3, x: 2}.
1/171
What is prob of picking 2 d, 1 x, and 1 p when four letters picked without replacement from {x: 3, d: 3, p: 4, a: 3}?
36/715
Three letters picked without replacement from {m: 11, b: 5, x: 2, p: 2}. What is prob of picking 1 x, 1 m, and 1 p?
11/285
Calculate prob of picking 2 u and 1 y when three letters picked without replacement from yumyuymuymuymu.
25/182
What is prob of picking 3 x and 1 p when four letters picked without replacement from {z: 3, p: 2, x: 5}?
2/21
Two letters picked without replacement from {t: 1, x: 2, h: 3, b: 3, o: 2, m: 3}. What is prob of picking 1 m and 1 b?
9/91
What is prob of picking 2 r when two letters picked without replacement from {r: 6, w: 3, a: 1, u: 1, g: 3}?
15/91
What is prob of picking 1 u and 2 a when three letters picked without replacement from {v: 6, e: 3, a: 2, o: 1, u: 2, y: 1}?
2/455
Three letters picked without replacement from mtmtmmmmmmmttttmmm. What is prob of picking 3 t?
5/204
What is prob of picking 1 t and 1 q when two letters picked without replacement from {g: 1, d: 1, q: 1, v: 1, t: 3}?
1/7
Four letters picked without replacement from osssoooooossoosooo. What is prob of picking 4 o?
11/68
What is prob of picking 2 i and 2 l when four letters picked without replacement from iibwbblblbwibbl?
3/455
What is prob of picking 1 r and 1 q when two letters picked without replacement from rqrrqqrrrrrrrrrrqrrr?
32/95
Calculate prob of picking 2 z when two letters picked without replacement from lzlzzzzzlzzlzzzzzz.
91/153
Two letters picked without replacement from swswwswkwwwwws. What is prob of picking 2 w?
36/91
What is prob of picking 2 u and 1 p when three letters picked without replacement from pppuuppuppuppp?
15/91
Two letters picked without replacement from xrzbzxbzqb. What is prob of picking 1 x and 1 z?
2/15
Four letters picked without replacement from gumnzmmngmmugumu. What is prob of picking 1 n and 3 g?
1/910
What is prob of picking 1 h and 2 a when three letters picked without replacement from iasismaaihiimssia?
3/340
Calculate prob of picking 2 p and 2 g when four letters picked without replacement from ppgppggpggppg.
63/143
Two letters picked without replacement from {b: 8, s: 3}. Give prob of picking 2 b.
28/55
Calculate prob of picking 2 x and 1 q when three letters picked without replacement from xwnqdwxgwqqwqqqqwwww.
7/1140
Calculate prob of picking 1 t and 1 b when two letters picked without replacement from twobo.
1/10
Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mmcvvmmcpmvvpvccncc.
25/171
Four letters picked without replacement from {k: 5, a: 5, n: 1}. What is prob of picking 3 a and 1 k?
5/33
Four letters picked without replacement from {t: 1, v: 2, l: 7}. What is prob of picking 1 t and 3 l?
1/6
What is prob of picking 2 f when two letters picked without replacement from jffjfjffffjjfffjffj?
22/57
What is prob of picking 2 l when two letters picked without replacement from tbllpelptbbb?
1/22
Two letters picked without replacement from {j: 1, g: 5, i: 1, e: 3}. Give prob of picking 2 e.
1/15
Three letters picked without replacement from nnnn. Give prob of picking 3 n.
1
Calculate prob of picking 2 u when two letters picked without replacement from ozoouuoszlsoou.
3/91
What is prob of picking 1 d and 3 l when four letters picked without replacement from {d: 6, l: 12}?
22/51
What is prob of picking 4 x when four letters picked without replacement from {i: 6, w: 2, x: 1, v: 3}?
0
Calculate prob of picking 3 n and 1 v when four letters picked without replacement from {n: 19, v: 1}.
1/5
Two letters picked without replacement from ahhabaa. What is prob of picking 1 a and 1 b?
4/21
Two letters picked without replacement from {t: 8, e: 2, z: 5, l: 1}. Give prob of picking 1 t and 1 z.
1/3
What is prob of picking 1 t and 3 c when four letters picked without replacement from {t: 4, c: 15}?
455/969
Two letters picked without replacement from {o: 2, r: 1, k: 4, y: 4, u: 1, p: 6}. Give prob of picking 1 y and 1 r.
4/153
Two letters picked without replacement from {j: 1, i: 2, y: 2, a: 1, x: 1, o: 1}. What is prob of picking 1 o and 1 j?
1/28
Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {v: 4, l: 11, s: 4}.
16/171
Four letters picked without replacement from trssssasstgtsg. What is prob of picking 1 t, 1 r, and 2 s?
9/143
Two letters picked without replacement from {h: 2, j: 2, l: 3, z: 8, c: 4}. What is prob of picking 2 l?
1/57
What is prob of picking 1 s, 1 x, and 1 j when three letters picked without replacement from jxxxojjjjxsxxjjjjjtx?
7/114
Calculate prob of picking 1 q, 2 t, and 1 b when four letters picked without replacement from {z: 2, m: 1, n: 1, b: 2, t: 2, q: 4}.
8/495
Calculate prob of picking 3 v when three letters picked without replacement from vvwvwwwvvvvvvv.
30/91
What is prob of picking 1 b and 1 f when two letters picked without replacement from {m: 9, b: 5, t: 2, f: 3}?
5/57
Four letters picked without replacement from {f: 9, k: 3, y: 6, l: 1}. What is prob of picking 1 k and 3 y?
5/323
Calculate prob of picking 2 p and 1 x when three letters picked without replacement from rxjnpjrpdjnd.
1/220
What is prob of picking 1 r and 1 i when two letters picked without replacement from iabiaiir?
1/7
Two letters picked without replacement from dnaxxxkxwxxxakxdwxwd. What is prob of picking 1 x and 1 w?
27/190
Calculate prob of picking 2 w, 1 q, and 1 b when four letters picked without replacement from teqewzbtwbeb.
1/165
What is prob of picking 2 k when two letters picked without replacement from kkkk?
1
Calculate prob of picking 1 c and 2 r when three letters picked without replacement from {z: 3, g: 1, c: 1, r: 2}.
1/35
Calculate prob of picking 1 c and 3 v when four letters picked without replacement from {n: 5, c: 3, v: 4}.
4/165
Two letters picked without replacement from {t: 5, v: 1, o: 6, z: 7}. What is prob of picking 2 o?
5/57
Four letters picked without replacement from {r: 1, w: 1, c: 2, g: 1, p: 1, n: 1}. What is prob of picking 1 w, 1 n, 1 p, and 1 c?
2/35
Two letters picked without replacement from gmmg. What is prob of picking 1 g and 1 m?
2/3
Four letters picked without replacement from vqqqwvvqvvvvvwqvq. What is prob of picking 3 v and 1 w?
6/85
Calculate prob of picking 1 t, 2 o, and 1 w when four letters picked without replacement from {r: 1, o: 3, w: 10, t: 1}.
2/91
Calculate prob of picking 1 a and 2 w when three letters picked without replacement from {q: 1, w: 2, a: 1, m: 2, b: 1, x: 1}.
1/56
Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {w: 2, j: 11, e: 2}.
4/105
Calculate prob of picking 2 a when two letters picked without replacement from {r: 1, s: 4, u: 6, a: 3, q: 3, j: 1}.
1/51
Two letters picked without replacement from kkkkkkkjkkkkjkkkkkkk. Give prob of picking 2 j.
1/190
Three letters picked without replacement from {f: 4, n: 2, a: 4}. What is prob of picking 1 | {
"pile_set_name": "DM Mathematics"
} |
west common multiple of 336 and 1188.
33264
What is the common denominator of 139/216 and -13/48?
432
Calculate the lowest common multiple of 40 and 392.
1960
Calculate the common denominator of -1/5 and 8/9.
45
What is the common denominator of -95/10956 and 7/3?
10956
What is the common denominator of -47/1976 and -89/56?
13832
What is the smallest common multiple of 165 and 15?
165
What is the common denominator of 75/572 and 47/22?
572
What is the smallest common multiple of 26 and 52?
52
Calculate the smallest common multiple of 64 and 32.
64
Find the common denominator of -49/1207 and -1/497.
8449
What is the least common multiple of 1 and 1598?
1598
Calculate the lowest common multiple of 3140 and 40.
6280
Calculate the least common multiple of 4425 and 590.
8850
Calculate the common denominator of -33/1633 and -125/138.
9798
What is the smallest common multiple of 10 and 4462?
22310
Calculate the lowest common multiple of 33 and 99.
99
Find the common denominator of 133/666 and 133/444.
1332
Calculate the common denominator of 1/70 and -93/110.
770
Calculate the common denominator of 139/54 and -61/1044.
3132
What is the common denominator of -31/349 and 26/7?
2443
Find the common denominator of 71/90 and 1/300.
900
Calculate the lowest common multiple of 790 and 5530.
5530
What is the lowest common multiple of 770 and 10010?
10010
What is the common denominator of -71/20 and 37/20?
20
What is the smallest common multiple of 3798 and 33?
41778
Calculate the common denominator of -37/2583 and -37/273.
33579
What is the common denominator of -101/12 and 119/580?
1740
Calculate the lowest common multiple of 16 and 2764.
11056
Calculate the common denominator of -75/8 and 19/2554.
10216
What is the common denominator of 67/21 and 23/1452?
10164
Calculate the smallest common multiple of 6 and 60.
60
What is the common denominator of -61/6378 and -57/14?
44646
What is the lowest common multiple of 1 and 26774?
26774
What is the least common multiple of 28 and 8?
56
Find the common denominator of 29/280 and 73/45.
2520
What is the lowest common multiple of 2298 and 24?
9192
Find the common denominator of -79/64 and 149/48.
192
Calculate the common denominator of -15/286 and -145/624.
6864
What is the lowest common multiple of 1544 and 24?
4632
What is the least common multiple of 3852 and 1605?
19260
Find the common denominator of -121/40 and -37/88.
440
What is the lowest common multiple of 1026 and 380?
10260
Calculate the common denominator of 19/8 and 31/14798.
59192
Find the common denominator of -51/1280 and -37/5120.
5120
Calculate the lowest common multiple of 24 and 1671.
13368
Find the common denominator of 65/88 and 37/8998.
35992
Calculate the lowest common multiple of 166 and 18.
1494
Calculate the least common multiple of 4 and 160.
160
What is the least common multiple of 24790 and 4?
49580
Calculate the lowest common multiple of 4155 and 25.
20775
Calculate the smallest common multiple of 82 and 902.
902
What is the common denominator of -125/24 and 53/204?
408
What is the smallest common multiple of 1305 and 125?
32625
What is the common denominator of 73/6 and -70/249?
498
What is the least common multiple of 3 and 6021?
6021
Find the common denominator of 75/76 and -25/1653.
6612
Calculate the lowest common multiple of 300 and 1350.
2700
What is the common denominator of -7/66 and -97/66?
66
What is the lowest common multiple of 960 and 64?
960
Calculate the lowest common multiple of 648 and 360.
3240
Find the common denominator of 25/7 and -87/302.
2114
Calculate the lowest common multiple of 10 and 25.
50
Calculate the common denominator of -79/544 and 9/11.
5984
Calculate the smallest common multiple of 79 and 632.
632
Calculate the smallest common multiple of 18 and 2340.
2340
Calculate the common denominator of -94/2715 and 119/30.
5430
Find the common denominator of 1/103 and 57/7.
721
Calculate the smallest common multiple of 2234 and 11.
24574
What is the common denominator of 127/120 and -93/188?
5640
Calculate the lowest common multiple of 109 and 8.
872
What is the common denominator of 41/9 and -107/72?
72
Calculate the common denominator of 93/578 and -61/170.
2890
Calculate the common denominator of 91/30 and -35/426.
2130
Calculate the common denominator of -109/30 and 65/16.
240
Calculate the lowest common multiple of 6 and 85.
510
Calculate the common denominator of 5/64 and 31/24.
192
What is the common denominator of 44/1127 and 59/7?
1127
Find the common denominator of -59/10 and 45/5426.
27130
What is the least common multiple of 14 and 6916?
6916
Calculate the lowest common multiple of 360 and 33.
3960
Calculate the lowest common multiple of 16 and 706.
5648
What is the least common multiple of 447 and 12?
1788
Calculate the common denominator of 32/1189 and -1/410.
11890
Calculate the least common multiple of 30 and 1160.
3480
Calculate the smallest common multiple of 62 and 2.
62
What is the smallest common multiple of 64 and 144?
576
Calculate the least common multiple of 88 and 11.
88
Calculate the smallest common multiple of 150 and 810.
4050
Calculate the least common multiple of 67 and 9.
603
Calculate the least common multiple of 35 and 905.
6335
Find the common denominator of 59/285 and -77/24.
2280
Calculate the least common multiple of 11 and 3.
33
What is the lowest common multiple of 826 and 472?
3304
What is the common denominator of -53/65 and -94/195?
195
What is the least common multiple of 26 and 6?
78
Calculate the common denominator of 61/39 and 143/522.
6786
Find the common denominator of -13/2 and -95/5214.
5214
What is the least common multiple of 15998 and 3?
47994
Find the common denominator of 115/1364 and 69/3472.
38192
What is the least common multiple of 822 and 1096?
3288
Calculate the lowest common multiple of 70 and 210.
210
Calculate the lowest common multiple of 608 and 24.
1824
Calculate the common denominator of 1/10 and -69/1570.
1570
What is the common denominator of -7/2 and -41/213?
426
Calculate the common denominator of -83/126 and -67/756.
756
Find the common denominator of 39/25 and 32/605.
3025
Calculate the smallest common multiple of 22 and 229.
5038
What is the lowest common multiple of 15 and 81?
405
Find the common denominator of -16/215 and -33/344.
1720
Find the common denominator of 17/623 and -35/3382.
23674
Calculate the common denominator of -43/21 and 103/30.
210
What is the common denominator of 93/10 and -53/24864?
124320
What is the common denominator of 11/195 and 161/30?
390
Find the common denominator of 13/213 and 8/399.
28329
What is the common denominator of -73/1632 and -23/136?
1632
What is the common denominator of -87/50 and 11/5?
50
Find the common denominator of 65/42 and -125/168.
168
Calculate the lowest common multiple of 85 and 105.
1785
Calculate the common denominator of 29/510 and -13/1190.
3570
What is the common denominator of 25/222 and 61/22?
2442
What is the lowest common multiple of 534 and 2492?
7476
Calculate the common denominator of 21/1156 and 83/680.
11560
Calculate the common denominator of -45/64 and 143/96.
192
What is the smallest common multiple of 18 and 722?
6498
Calculate the lowest common multiple of 2872 and 1795.
14360
Find the common denominator of -179/930 and -51/1240.
3720
What is the common denominator of -83/40 and 97/8?
40
Find the common denominator of -40/61 and 59/5.
305
What is the common denominator of 25/567 and -65/441?
3969
Calculate the common denominator of 133/282 and -57/5.
1410
Calculate the smallest common multiple of 1105 and 845.
14365
Find the common denominator of -127/2088 and -18/319.
22968
What is the lowest common multiple of 60 and 348?
1740
Calculate the common denominator of -43/35 and -52/15.
105
What is the least common multiple of 12 and 19?
228
Calculate the least common multiple of 7542 and 14.
52794
Find the common denominator of -38/15 and -143/144.
720
Calculate the common denominator of -95/112 and -109/392.
784
Find the common denominator of -43/8 and 26/79.
632
What is the lowest common multiple of 810 and 2025?
4050
Calculate the least common multiple of 4170 and 3475.
20850
Find the common denominator of 69/440 and 101/28.
3080
Calculate the smallest co | {
"pile_set_name": "DM Mathematics"
} |
4*v, 3*g - 20 = -v. Let f(d) = -3*d + 1. Let u be f(-1). Suppose 27 = g*z - 2*z + 5*l, -4*l = -u*z + 36. Does 4 divide z?
True
Let w(m) = -42*m + 1. Let k be w(-2). Let s be 38 + (-1*6)/(-3). Suppose -5*g = -s - k. Does 14 divide g?
False
Let v be 22/(-4) + 2/4. Let z = -7 - v. Let r = 4 - z. Is 2 a factor of r?
True
Does 9 divide ((-27)/(-6))/((-2)/(-20))?
True
Suppose -1 - 9 = 5*m. Is (-9 - 3)/(m/3) a multiple of 9?
True
Suppose 16 = u - 48. Does 32 divide u?
True
Let b = -3 + 5. Let k be b/6 - 60/(-9). Suppose 0*v - v = -k. Is v a multiple of 7?
True
Suppose 455 - 131 = 3*h + 3*p, -6 = -2*p. Is h a multiple of 35?
True
Suppose 0 = -6*s - 4*s + 240. Does 13 divide s?
False
Suppose g - 4*g + 30 = 0. Does 10 divide g?
True
Let g(u) = -12*u. Let l be g(2). Let h = l + 40. Does 8 divide h?
True
Let p(q) = q + 1. Let c be p(-1). Suppose -2*n + 3*b + 32 = -b, -5*n + 4*b + 110 = c. Is n a multiple of 13?
True
Suppose 0*p + 583 = 4*p + o, 2*p - 296 = -2*o. Suppose j = 4*m + 19, 6*j = j - 5*m + p. Is j a multiple of 9?
True
Suppose 10*o - 1540 = -0*o. Does 22 divide o?
True
Let r(g) = -g**3 + 3*g**2 + 6*g - 6. Let t be r(4). Let n be (-2)/t + 43 - 1. Suppose -4*h + n = -2*u - 77, 74 = 2*h + 2*u. Is 16 a factor of h?
True
Let o(y) = 8*y**3 + y**2 + 4*y - 1. Let t(a) = -17*a**3 - 2*a**2 - 9*a + 2. Let p(j) = -13*o(j) - 6*t(j). Is 4 a factor of p(-2)?
False
Let u(z) = -2*z**2 - 3*z + 2. Let i be u(-4). Let w be (-6)/(-27) + (-1238)/i. Suppose 23 + w = 4*n. Is 22 a factor of n?
False
Let y(f) = -f**3 - 3*f**2 + 3*f - 2. Let t be y(-4). Suppose -6*r + 25 = -r. Suppose -i + r*u - 4 = -4*i, t*i = -4*u + 2. Does 2 divide i?
False
Suppose -2*i = 2*g + 2*g - 86, 0 = 3*g - 3*i - 60. Does 11 divide g?
False
Let o(z) = -z**3 - 3*z**2 + 2*z - 1. Let j(g) be the third derivative of -g**4/24 - 11*g**3/6 + g**2. Let s be j(-7). Is 3 a factor of o(s)?
False
Suppose -37 = -3*w + 56. Suppose 141 - w = 2*q. Let s = -30 + q. Is s a multiple of 14?
False
Suppose -3*u + 16 = u. Suppose h + 4*q = -3*h + 4, 4*h = u*q + 36. Suppose -45 = -h*v + 15. Is v a multiple of 12?
True
Let y(k) = -6*k**3 + k**2. Is 3 a factor of y(-1)?
False
Suppose -2*q + q - 6 = 0. Let s = 24 + -19. Is 12 a factor of 43 + q/(2 - s)?
False
Let i be (0 + 1 - 1)/2. Suppose 3*a + 12 = -i*a. Let r = a + 23. Does 9 divide r?
False
Does 25 divide (-140)/(-3)*3/2?
False
Suppose 3*g + 0*j = 3*j - 384, -3*g - 384 = j. Let s = -76 - g. Is 13 a factor of s?
True
Let i be (-19 - -1)/(2/4). Let w = -12 - i. Is w a multiple of 24?
True
Let b(r) = r**3 + r - 1. Let c be b(2). Let z = c - -18. Suppose 0 = -5*d + z + 43. Does 7 divide d?
True
Suppose 0 = -b - 2*y + 22, 3*b + 4*y = -b + 68. Is b a multiple of 12?
True
Suppose -5*s + 31 = j, -2*j + 2*s + 36 = -s. Let x be (15/(-6) - -2)*18. Let h = j + x. Is 6 a factor of h?
True
Let y = 45 - 15. Let b be (-1 + 1)/(2 + -4). Let x = b + y. Is 13 a factor of x?
False
Let g = 7 + -5. Suppose -3*w + 0*w = 5*d - 248, -g*d + w = -108. Does 14 divide d?
False
Suppose g = 4*r + 108, g = -0*g + r + 108. Let a = g - 64. Is a a multiple of 22?
True
Let h = 242 + -162. Is h a multiple of 20?
True
Suppose 5*k - 356 = -106. Let o = k - 30. Is o a multiple of 5?
True
Does 8 divide 0 - (-14 + 0 + 3)?
False
Suppose -177 = -3*k + 3*u, 5*k - 286 = 5*u - 3*u. Does 28 divide k?
True
Let a = -80 - -140. Is a a multiple of 23?
False
Suppose -4*q + 3 = -5. Let c(f) = 25*f - 2. Does 24 divide c(q)?
True
Suppose -4*k = -2*k. Suppose -r + k*r = 16. Let p = r + 28. Does 12 divide p?
True
Suppose -j = 5*a - 4*j - 208, -2*j - 80 = -2*a. Suppose 0 = -2*s - 2*s + 3*i + 53, -3*s - 2*i + a = 0. Is s a multiple of 11?
False
Let k = 41 + -124. Let i be 0 - k - (-1)/1. Suppose 2*m + 3*o = o + 60, 3*m - 3*o = i. Is 10 a factor of m?
False
Suppose 698 = -0*l - l. Does 13 divide l/(-18) + 4/18?
True
Let r(n) = 1 + n**3 + 9 + 9 - 13*n**2 + 2*n. Let a be r(13). Suppose 4*i - 5 = f, 5*f + 2*i - 40 = a. Is f a multiple of 10?
False
Suppose -5*o + 442 = -2*u - 326, -2*o + 4*u + 304 = 0. Is o a multiple of 12?
False
Let v(g) = 3*g**3 + 3*g**2 - 3*g + 5. Is v(2) a multiple of 14?
False
Let b(s) = -2*s + 6. Let h be b(4). Let r be -5 + 1 + (-5 - h). Let d = 16 - r. Is 10 a factor of d?
False
Let c = 18 - 4. Does 14 divide c?
True
Let v(z) be the third derivative of z**4/24 - 5*z**3/6 - z**2. Let d be v(8). Let t(c) = c**2 - 2*c + 2. Is t(d) a multiple of 3?
False
Suppose 0 = -2*t - 2*t + 12. Let y be (-98)/(-6) - 1/t. Suppose -4*k + y + 4 = 0. Is k a multiple of 2?
False
Let j(y) = 4*y + 9. Let z(i) = -i + 1. Let u(a) = j(a) - 3*z(a). Let h be u(-5). Let n = h + 59. Is 15 a factor of n?
True
Is (-124)/(-6)*54/4 a multiple of 16?
False
Let n be 7/2*8/14. Suppose 2 = -w - 4*v + 46, -w - n*v + 36 = 0. Is w a multiple of 7?
True
Is 7 a factor of (16/(-12))/(1/(-21))?
True
Let j be (1 + 0 - 2)*4. Let y(z) = -z**3 - 3*z**2 + 2*z + 5. Is y(j) a multiple of 10?
False
Let h(s) = -s**3 - 8*s**2 + s + 10. Suppose 0*n - i = -3*n - 20, 4*n + 44 = -3*i. Let l be h(n). Suppose -10 = l*z - 68. Does 13 divide z?
False
Let f = 198 - 80. Does 14 divide f?
False
Suppose 5*w + 2*x = 23, 4*w - 24 = 3*x - 6*x. Suppose 5*j + 55 = 3*q, 4*q - 9 = w*j + 68. Is q a multiple of 10?
True
Suppose -3*w + 4*w - 2 = 0. Suppose 413 = 5*a + 5*h - 292, -276 = -w*a + 4*h. Is 8 a factor of (3/2)/(15/a)?
False
Let m(b) = 40*b**2 + 3*b + 2. Let t be m(-2). Suppose 7*i = 3*i + t. Suppose -4*j = 3*f - 29, 3*f - i = 5*j + 26. Does 15 divide f?
True
Let l(y) = 7*y**3 - 3*y + 2. Let b be l(2). Let v = 84 - b. Suppose -2*a = 4*q - 7*a - v, -8 = -q - 5*a. Is 8 a factor of q?
True
Let w = 1 - -3. Suppose w*f = -0*f - 1104. Is 23 a factor of (2/(-3))/(4/f)?
True
Suppose 12 = 5*a - 2*a, -2*d - 4*a + 16 = 0. Suppose 3*k - 4*v + 25 = 0, 3*v + 2 = -5*k - 1. Is 22 a factor of k + 5 - (-42 - d)?
True
Suppose 0 = -f - 2*m + 3, 5*f - 26 = -5*m - 6. Let y = f + -3. Is 6 a factor of 11 - (-2 + y + 2)?
False
Suppose -q + 3*i - 115 = -2*q, 5*q = -4*i + 575. Does 5 divide q?
True
Let h be (-1956)/(-9) - 6/(-9). Is 7 a factor of 4/22 - h/(-11)?
False
Is 238 + -1*(-1 - -4) a multiple of 47?
True
Suppose 86 = -5*f + 551. Does 19 divide f?
False
Let g(z) = -z**3 + z**2 - 1. Let q(a) = 3*a**3 - 11*a**2 + 13. Let u(d) = 4*g(d) + q(d). Is 5 a factor of u(-7)?
False
Let p = -158 + 272. Is 19 a factor of p?
True
Let x(s) = 3*s**3 - 2*s**2 + 1. Let c be x(1). Suppose c = y + 4*v - 11, 5*y - 2*v = 21. Suppose -y*a = -88 - 77. Is a a multiple of 11?
True
Let z(k) be the first derivative of -k**4/4 - 4*k**3/3 + k**2 - 3*k - 1. Suppose 2 = -3*p - 13. Is z(p) a multiple of 6?
True
Is 15 a factor of 1 + 2 + 1 - -86?
True
Suppose 0 = -2*p + p + 2*n + 11, -5*p + 10 = 5*n. Is p even?
False
Let x = 523 + -285. Is 7 a factor of x?
True
Let n(x) = 4*x**3 + 2*x**2 - 5*x + 4. Is n(2) a multiple of 17?
True
Let s be (-1 - 1) + 2 + 2. Suppose 55 + 9 = s*o. Is 14 a factor of o?
False
Let r = -247 - -638. Is 16 a factor of r?
False
Let a(f) = 36*f**2 - 1. Let g be a(-1). Suppose 3*p + t = -g, -4*t + 5*t + 46 = -4*p. Let l = -1 - p. Is l a multiple of 4?
False
Let b(t) = 24*t - 13. Is b(2) a multiple of 20?
False
Let h = 21 + -129. Let j = 192 + h. Suppose 0 = -d - d + j. Does 18 divide d?
False
Let c = 188 + -107. Let t = c + -56. Suppose 5*i + t = 0, 3*i - 46 = -5*r - 11. Does 6 divide r?
False
Let s = -12 + 21. Suppose -2*h + s = h. Is 2 a factor of h?
False
Let p(r) = 6*r**2. Let w be p(2). Is 15 a factor of (34/2)/(8/w)?
False
Let j(y) = -y**3 - 6*y**2 + y + 6. Let d(a) = -a**3 + 1. Let i be d(2). Is 12 a factor of j(i)?
True
Let i(x) = -15*x + 69. Does 8 divide i(-7)?
False
Is 6 a factor of 2/(5/((-710)/(-4)))?
False
Let h(t) = t**3 - 5*t**2 - 4*t - 8. Let k be h(6). Suppose -5*u = -k*u - 5. Is 5 a factor of u?
True
Suppose -193 = -h - 3*z, 0*z = -z. Is h a multiple of 13?
False
Suppose 10 = -2*w - c - 37, -5*w = 3*c + 116. Let n = 1 - w. Does 26 divide n?
True
Let c(p) = -2*p**2 + 4*p + 13. Let f(b) = 5*b**2 - 9*b - 26. Let q(g) = 7*c(g) + 3*f(g). Let n be -5 + 5 + 3 + -1*3. Is 6 a factor of q(n)?
False
Let p = 407 - 237. Is p a multiple of 34?
True
Let n be (-15)/(2 - 9/3). Suppose -n = 5*u - 0, -4*w + 85 = u. Does 22 divide w?
True
Let n be (-2)/(-17) - (-8)/(-68). Let w = n - -36. Does 18 div | {
"pile_set_name": "DM Mathematics"
} |
st 10000?
-90000
Round -0.0000803386 to five dps.
-0.00008
Round 1751.54 to the nearest one hundred.
1800
Round 14941900 to the nearest 100000.
14900000
Round -1089156.25 to the nearest ten thousand.
-1090000
What is 1274.6184 rounded to the nearest 100?
1300
Round 1143188000 to the nearest one million.
1143000000
Round -138922 to the nearest 10000.
-140000
Round 0.11204 to 4 decimal places.
0.112
What is -55465510 rounded to the nearest one million?
-55000000
Round 0.0003968651 to six decimal places.
0.000397
Round 0.108102 to 1 decimal place.
0.1
What is -0.022361632 rounded to three dps?
-0.022
Round -8549.87 to the nearest 1000.
-9000
What is 22238.26 rounded to the nearest ten?
22240
What is -0.000454189 rounded to five dps?
-0.00045
What is -0.4400444 rounded to one dp?
-0.4
What is 0.0003239715 rounded to 6 decimal places?
0.000324
What is -0.000078327 rounded to 5 decimal places?
-0.00008
Round 4159690 to the nearest one hundred thousand.
4200000
What is -191821030 rounded to the nearest one million?
-192000000
Round 1125.922 to the nearest integer.
1126
What is -0.001876141 rounded to four dps?
-0.0019
Round -16103994 to the nearest one hundred thousand.
-16100000
What is -164723100 rounded to the nearest 1000000?
-165000000
What is -106800 rounded to the nearest one hundred thousand?
-100000
What is -0.5694101 rounded to 1 dp?
-0.6
Round 1.6511 to the nearest integer.
2
What is -0.000016285195 rounded to 6 dps?
-0.000016
What is -0.000469014 rounded to four decimal places?
-0.0005
What is 14239 rounded to the nearest 1000?
14000
Round 270945.77 to the nearest 100000.
300000
What is -0.0004524084 rounded to six dps?
-0.000452
What is 171403.75 rounded to the nearest one thousand?
171000
Round -0.4472008 to 4 decimal places.
-0.4472
What is -0.70413 rounded to two decimal places?
-0.7
Round -1887634 to the nearest ten thousand.
-1890000
Round -1237.41 to the nearest 10.
-1240
Round -1833.1434 to the nearest 10.
-1830
What is 104.412 rounded to the nearest ten?
100
What is -252365.5 rounded to the nearest 100?
-252400
What is 0.00000050745 rounded to seven decimal places?
0.0000005
Round -0.001734965 to 5 dps.
-0.00173
What is -0.0121568 rounded to 3 decimal places?
-0.012
Round 0.00018200105 to 7 decimal places.
0.000182
What is 0.0000399947 rounded to five decimal places?
0.00004
Round 84565.3 to the nearest one thousand.
85000
What is -0.04023252 rounded to 3 dps?
-0.04
Round -1577685000 to the nearest 1000000.
-1578000000
Round 0.001989945 to 4 decimal places.
0.002
Round -1.0600157 to 4 decimal places.
-1.06
What is -2926680 rounded to the nearest 1000?
-2927000
Round -1503.6077 to the nearest 100.
-1500
What is -20570400 rounded to the nearest one million?
-21000000
Round -1.065271 to 1 dp.
-1.1
Round 43386500 to the nearest one million.
43000000
Round -2057539 to the nearest 1000.
-2058000
What is -19911930 rounded to the nearest one million?
-20000000
What is -0.0004560916 rounded to 7 dps?
-0.0004561
What is 0.0000275159 rounded to seven dps?
0.0000275
What is -0.799625 rounded to 1 decimal place?
-0.8
Round 0.020294364 to 5 dps.
0.02029
Round -0.66356009 to three decimal places.
-0.664
What is 4.1789 rounded to 1 decimal place?
4.2
What is -2.27 rounded to the nearest 1000?
0
Round 3942 to the nearest 100.
3900
What is -2046.139 rounded to the nearest 100?
-2000
What is 0.32690874 rounded to 2 decimal places?
0.33
Round -14993.17 to the nearest 10.
-14990
What is 4.255956 rounded to 0 decimal places?
4
Round 207138 to the nearest one thousand.
207000
What is 0.00035591504 rounded to seven decimal places?
0.0003559
Round -297.3948 to the nearest one hundred.
-300
Round 0.000227886 to six dps.
0.000228
Round 0.00202438 to 3 dps.
0.002
Round 218753 to the nearest ten thousand.
220000
What is -609711.61 rounded to the nearest one thousand?
-610000
What is -565046.3 rounded to the nearest 1000?
-565000
Round 0.013275868 to 2 dps.
0.01
What is -295.94911 rounded to the nearest 10?
-300
What is 10388.8 rounded to the nearest ten thousand?
10000
What is 2818.15 rounded to the nearest one thousand?
3000
What is 58843580 rounded to the nearest 10000?
58840000
What is 1132396 rounded to the nearest 100000?
1100000
What is 0.000000357699 rounded to 7 dps?
0.0000004
Round -506.0831 to 1 decimal place.
-506.1
What is -0.4490071 rounded to one dp?
-0.4
Round -0.00003909745 to 5 decimal places.
-0.00004
Round 17.2834 to one dp.
17.3
What is -166.1555 rounded to 0 dps?
-166
Round 1708242000 to the nearest one million.
1708000000
What is 486664 rounded to the nearest ten thousand?
490000
Round 0.0001689554 to five decimal places.
0.00017
What is 0.00001446003 rounded to six dps?
0.000014
What is 6.09384 rounded to one decimal place?
6.1
What is -0.047815058 rounded to 4 decimal places?
-0.0478
What is -63982932 rounded to the nearest 10000?
-63980000
Round 10993 to the nearest 1000.
11000
What is -5.1497 rounded to one decimal place?
-5.1
Round -0.825977 to 1 dp.
-0.8
Round 0.00000838057 to 6 dps.
0.000008
Round -329860780 to the nearest one million.
-330000000
What is -1584380 rounded to the nearest ten thousand?
-1580000
What is -0.0000912947 rounded to 7 decimal places?
-0.0000913
What is 7416.56 rounded to the nearest 10?
7420
What is -8152.9 rounded to the nearest ten?
-8150
What is 12.34604 rounded to two dps?
12.35
Round -6281266 to the nearest 1000.
-6281000
Round 0.00000966477 to 5 decimal places.
0.00001
What is -34199 rounded to the nearest 10000?
-30000
Round -7441.787 to the nearest 10.
-7440
Round 3080.031 to 0 decimal places.
3080
What is -790.0738 rounded to the nearest one hundred?
-800
What is 570.2751 rounded to the nearest integer?
570
Round -1.052458 to one dp.
-1.1
Round -0.0002491111 to 7 dps.
-0.0002491
What is 0.1076371 rounded to one dp?
0.1
What is -876290 rounded to the nearest 100000?
-900000
Round -18.97852 to one decimal place.
-19
What is -0.159475738 rounded to 5 decimal places?
-0.15948
Round -12.62735 to two decimal places.
-12.63
Round -1504854 to the nearest 100000.
-1500000
What is -0.000014693519 rounded to seven dps?
-0.0000147
Round 202316 to the nearest one thousand.
202000
Round 0.0001156733 to seven decimal places.
0.0001157
Round -0.00009515622 to 6 decimal places.
-0.000095
What is 1681.365 rounded to the nearest ten?
1680
Round -0.0005125602 to 5 dps.
-0.00051
What is -95694.53 rounded to the nearest 10?
-95690
Round -5.00931 to 0 decimal places.
-5
What is 34099330 rounded to the nearest one hundred thousand?
34100000
What is -0.0000090939 rounded to 7 decimal places?
-0.0000091
Round -3.63253 to 3 decimal places.
-3.633
Round 715.216 to 0 dps.
715
Round 0.01391771 to four decimal places.
0.0139
Round -23532400 to the nearest one hundred thousand.
-23500000
Round -1790177 to the nearest 1000000.
-2000000
What is -0.00245186 rounded to 5 dps?
-0.00245
Round -0.0418157 to 3 decimal places.
-0.042
Round 0.006862713 to 5 dps.
0.00686
Round -5.037066 to one dp.
-5
What is 421186.7 rounded to the nearest 1000?
421000
What is -44.4278 rounded to the nearest one hundred?
0
Round 181425.56 to the nearest 10.
181430
What is -268.80783 rounded to the nearest integer?
-269
Round -0.156621 to 3 decimal places.
-0.157
Round -13.691856 to 0 decimal places.
-14
What is 0.0000151294 rounded to 6 decimal places?
0.000015
Round 0.0000480189 to 5 decimal places.
0.00005
Round 83952500 to the nearest 1000000.
84000000
What is -0.534989 rounded to 1 decimal place?
-0.5
What is -0.00005828589 rounded to 5 dps?
-0.00006
What is -0.00366985 rounded to five decimal places?
-0.00367
Round 54.474581 to the nearest 10.
50
Round 734863.1 to the nearest 100000.
700000
What is -2051.903 rounded to the nearest ten?
-2050
What is 320072400 rounded to the nearest one hundred thousand?
320100000
What is -0.00474364 rounded to five dps?
-0.00474
What is 0.000386506 rounded to five decimal places?
0.00039
What is 42728.75 rounded to the nearest 10000?
40000
Round 0.0004541919 to five decimal places.
0.00045
Round 38.383967 to one dp.
38.4
Round -0.0569796 to four dps.
-0.057
Round -6879392 to the nearest one million.
-7000000
Round -0.1899566 to 4 decimal places.
-0.19
What is 315874.2 rounded to the nearest 1000?
316000
Round 0. | {
"pile_set_name": "DM Mathematics"
} |
0147?
-538339*i**2 + 10*i - 3
What is the f'th term of -38191, -76388, -114571, -152722, -190823, -228856, -266803?
3*f**3 - 11*f**2 - 38185*f + 2
What is the l'th term of 7235, 28784, 64667, 114884, 179435, 258320?
7167*l**2 + 48*l + 20
What is the d'th term of 7100, 56814, 191712, 454382, 887412, 1533390?
7098*d**3 + 4*d**2 + 16*d - 18
What is the a'th term of -802043, -1604392, -2406741, -3209090?
-802349*a + 306
What is the s'th term of -299136, -299149, -299162, -299175?
-13*s - 299123
What is the z'th term of -256645, -2053167, -6929429, -16425301, -32080653, -55435355, -88029277, -131402289?
-256645*z**3 - 7*z + 7
What is the x'th term of -25364, -101490, -228366, -405992, -634368, -913494, -1243370?
-25375*x**2 - x + 12
What is the n'th term of -944206, -944201, -944196, -944191?
5*n - 944211
What is the c'th term of -24631182, -49262376, -73893570?
-24631194*c + 12
What is the r'th term of 23342, 46972, 70892, 95102, 119602, 144392?
145*r**2 + 23195*r + 2
What is the c'th term of -8544, -16994, -25444?
-8450*c - 94
What is the b'th term of 485, 1984, 4489, 8000, 12517?
503*b**2 - 10*b - 8
What is the i'th term of -26051, -52090, -78155, -104252, -130387, -156566?
-i**3 - 7*i**2 - 26011*i - 32
What is the a'th term of -10441, -18557, -26675, -34795, -42917?
-a**2 - 8113*a - 2327
What is the q'th term of 7635, 3493, -635, -4743, -8825?
q**3 + q**2 - 4152*q + 11785
What is the t'th term of -721359, -1442756, -2164239, -2885850, -3607631, -4329624, -5051871, -5774414?
-7*t**3 - t**2 - 721345*t - 6
What is the o'th term of -498044, -1992185, -4482378, -7968587, -12450776, -17928909, -24402950?
6*o**3 - 498062*o**2 + 3*o + 9
What is the i'th term of -489657, -489645, -489633?
12*i - 489669
What is the x'th term of 2444, 9610, 21548, 38264, 59764, 86054, 117140?
x**3 + 2380*x**2 + 19*x + 44
What is the m'th term of 516, 967, 1462, 2013, 2632, 3331?
2*m**3 + 10*m**2 + 407*m + 97
What is the x'th term of 451, -4280, -17111, -42092, -83273, -144704, -230435?
-675*x**3 - 6*x + 1132
What is the v'th term of -6462, -25476, -57284, -101886?
-6397*v**2 + 177*v - 242
What is the j'th term of 12037, 47918, 107683, 191302, 298745, 429982, 584983?
-5*j**3 + 11972*j**2 + 70
What is the x'th term of 533734, 533729, 533724, 533719?
-5*x + 533739
What is the h'th term of 2706596, 2706611, 2706626, 2706641?
15*h + 2706581
What is the c'th term of -127297413, -254594824, -381892233, -509189640, -636487045, -763784448, -891081849?
c**2 - 127297414*c
What is the b'th term of -23350, -47451, -71552, -95653?
-24101*b + 751
What is the w'th term of 8732713, 17465446, 26198179, 34930912?
8732733*w - 20
What is the l'th term of 264795, 529514, 794207, 1058862, 1323467, 1588010?
-2*l**3 - l**2 + 264736*l + 62
What is the h'th term of -7309, -12371, -17433, -22495?
-5062*h - 2247
What is the m'th term of -119723, -239430, -359137, -478844, -598551?
-119707*m - 16
What is the o'th term of 23233, 23269, 23353, 23491, 23689, 23953, 24289, 24703?
o**3 + 18*o**2 - 25*o + 23239
What is the m'th term of -3208, -8334, -16878, -28840, -44220?
-1709*m**2 + m - 1500
What is the v'th term of -201, -384, -1029, -2412, -4809, -8496, -13749?
-46*v**3 + 45*v**2 + 4*v - 204
What is the x'th term of 240510973, 240510971, 240510969, 240510967, 240510965?
-2*x + 240510975
What is the k'th term of -19006, -15425, -5722, 13163, 44290, 90719?
510*k**3 + k**2 + 8*k - 19525
What is the q'th term of 26578037, 53156073, 79734109, 106312145, 132890181, 159468217?
26578036*q + 1
What is the o'th term of 38568, 76856, 115144, 153432, 191720, 230008?
38288*o + 280
What is the k'th term of 11870, 23399, 34918, 46421, 57902, 69355, 80774?
-k**3 + k**2 + 11533*k + 337
What is the r'th term of 872, 2140, 4260, 7232, 11056?
426*r**2 - 10*r + 456
What is the b'th term of 454, 1260, 2576, 4378, 6642, 9344?
-4*b**3 + 279*b**2 - 3*b + 182
What is the g'th term of -56250393, -56250392, -56250391, -56250390, -56250389?
g - 56250394
What is the g'th term of -114568, -916509, -3093204, -7332031, -14320368, -24745593, -39295084?
-114563*g**3 + g**2 - 3*g - 3
What is the s'th term of -51754, -123576, -195398, -267220, -339042, -410864?
-71822*s + 20068
What is the h'th term of 4853, 18876, 42247, 74966, 117033, 168448, 229211?
4674*h**2 + h + 178
What is the b'th term of -4061, -5135, -6927, -9437, -12665, -16611?
-359*b**2 + 3*b - 3705
What is the q'th term of 5930418, 5930417, 5930416?
-q + 5930419
What is the t'th term of -4768, -19184, -43192, -76786, -119960?
t**3 - 4802*t**2 - 17*t + 50
What is the f'th term of -2761414, -11045647, -24852702, -44182579, -69035278?
-2761411*f**2 - 3
What is the h'th term of 4101109, 8202233, 12303373, 16404529?
8*h**2 + 4101100*h + 1
What is the p'th term of -8586, -33465, -74922, -132951, -207546, -298701, -406410?
p**3 - 8295*p**2 - p - 291
What is the y'th term of 1845199704, 1845199703, 1845199702, 1845199701, 1845199700?
-y + 1845199705
What is the h'th term of 2074, 3927, 5742, 7501, 9186?
-3*h**3 - h**2 + 1877*h + 201
What is the c'th term of -260, -2310, -7872, -18704, -36564, -63210, -100400?
-293*c**3 + 2*c**2 - 5*c + 36
What is the p'th term of -7653, -7831, -8009, -8187, -8365?
-178*p - 7475
What is the p'th term of 3924032, 7848085, 11772138, 15696191, 19620244, 23544297?
3924053*p - 21
What is the x'th term of 1686, 2788, 3876, 4944, 5986?
-x**3 - x**2 + 1112*x + 576
What is the c'th term of 128, 1199, 4084, 9689, 18920, 32683?
151*c**3 + c**2 + 11*c - 35
What is the p'th term of -3294842, -6589490, -9884138, -13178786?
-3294648*p - 194
What is the k'th term of 24619477, 49238960, 73858443, 98477926, 123097409, 147716892?
24619483*k - 6
What is the j'th term of 184, 1770, 6054, 14386, 28116, 48594?
225*j**3 - j**2 + 14*j - 54
What is the g'th term of -27163430, -27163425, -27163408, -27163373, -27163314?
g**3 - 2*g - 27163429
What is the r'th term of -3367, -10212, -20533, -34336, -51627, -72412?
-r**3 - 1732*r**2 - 1642*r + 8
What is the k'th term of 7425661, 14851293, 22276925, 29702557, 37128189, 44553821?
7425632*k + 29
What is the o'th term of 112291703, 224583402, 336875099, 449166794, 561458487?
-o**2 + 112291702*o + 2
What is the y'th term of -4537, -10430, -20255, -34012, -51701, -73322?
-1966*y**2 + 5*y - 2576
What is the c'th term of 16364822, 16364824, 16364826, 16364828?
2*c + 16364820
What is the o'th term of 2567498, 2567502, 2567506, 2567510?
4*o + 2567494
What is the g'th term of -27472, -24171, -20872, -17575, -14280, -10987?
-g**2 + 3304*g - 30775
What is the s'th term of 1370197, 2740357, 4110519, 5480683, 6850849?
s**2 + 1370157*s + 39
What is the r'th term of 588315, 588840, 589365, 589890, 590415?
525*r + 587790
What is the r'th term of 10781, 10459, 10135, 9809, 9481, 9151, 8819?
-r**2 - 319*r + 11101
What is the i'th term of 31456, 125982, 283560, 504190?
31526*i**2 - 52*i - 18
What is the g'th term of -576242, -1152477, -1728710, -2304941, -2881170, -3457397, -4033622?
g**2 - 576238*g - 5
What is the l'th term of 14974, 30934, 46894, 62854?
15960*l - 986
What is the l'th term of 518, 1056, 1928, 3134?
167*l**2 + 37*l + 314
What is the v'th term of -36, 330, 1306, 3192, 6288, 10894, 17310, 25836?
50*v**3 + 5*v**2 + v - 92
What is the x'th term of -1382, -4471, -9622, -16835?
-1031*x**2 + 4*x - 355
What is the s'th term of -27914, -27935, -27990, -28097, -28274, -28539?
-3*s**3 + s**2 - 3*s - 27909
What is the k'th term of 200510, 401265, 602020, 802775, 1003530?
200755*k - 245
What is the f'th term of -992291, -1984411, -2976531, -3968651, -4960771, -5952891?
-992120*f - 171
What is the q'th term of 4781113, 4781093, 4781045, 4780957, 4780817?
-2*q**3 - 2*q**2 + 4781117
What is the r'th term of 5547568, 5547574, 5547572, 5547556, 5547520?
-r**3 + 2*r**2 + 7*r + 5547560
What is the n'th term of -24387, -195058, -658311, -1560438, -3047731, -5266482, -8362983?
-24382*n**3 + n**2 - 6
What is the c'th term of -72279, -144593, -216903, -289209, -361511, -433809?
2*c**2 - 72320*c + 39
What is the o'th term of 10198589, 10198588, 10198587, 10198586, 10198585?
-o + 10198590
What is the m'th term of 21435, 32137, 42839?
10702*m + 10733
What is the y'th term of 571037, 1141891, 1712745, 2283599?
570854*y + 183
What is the n'th term of 3098, | {
"pile_set_name": "DM Mathematics"
} |
5, 2*k - y + 7 = 4. Which is smaller: k or 9/16?
9/16
Suppose 29*y = 102*y + 91177. Is -1249 at least as big as y?
True
Let d = -1537996 + 701326699/456. Let p = d - 25/24. Let g be (0*1/(-4))/((16 - 33) + 16). Is p at least g?
True
Let f = -1491/11 + 91160/671. Do -1 and f have the same value?
False
Let c = 38169.9 + -38169.9. Let j = -97 + 74.4. Which is greater: j or c?
c
Let t = 128.89 + -137.89. Let l = 1.58 + 6.32. Let y = 8 - l. Is t at least y?
False
Suppose -4*x - 4*z + 19 = 3, 2*z + 4 = x. Suppose -4*b - 4 = q + 46, -4*b - 52 = 2*q. Let w be 7/b - (-1)/x. Do -0.28 and w have different values?
True
Suppose 0 = 20*h + h - 72471. Let s be h/(-63) - (-5)/(180/(-8)). Is s at most as big as -56?
False
Suppose 290*z = 289*z + 2*y + 8, 0 = -3*z - y - 4. Are z and -38 unequal?
True
Let x(l) = -38*l**2 - 1. Let r be x(-1). Let s be (-4)/(-7)*966/(-12) + 5. Which is smaller: s or r?
s
Suppose 0 = -14*p + 38*p - 1176. Suppose 0 = -2*q + p + 63. Is q less than or equal to 56?
True
Let o = 30003 + -30157. Is 2/9 > o?
True
Let o be (128/(-112) - 12/(-7))*(-1883)/2. Which is bigger: -2691/5 or o?
o
Suppose -5*d - 9 = 11, -5*d - 65 = -3*j. Suppose -26*y + 486 - 148 = 0. Which is smaller: y or j?
y
Let w be (-56449)/209 - 3/(-33). Let a = 268 + w. Is -8 at least as big as a?
False
Suppose -4*f + 1 = h, 3*h - 3*f + 4*f = 3. Let q be 104/24 + 2/3. Let z be (-5)/(q/(-3)) - (h + 1). Which is bigger: z or 2?
2
Suppose 3*s = -5*l + 5107, 2*l - 376 - 1670 = 2*s. Is l smaller than 1020?
False
Suppose -2*o + 7 + 17 = 0. Suppose -3*u + o = 15. Is 3/47 equal to u?
False
Let s = -2358.115 + 2365. Let m = s - 13.892. Let g = m - -0.007. Does 0 = g?
False
Suppose 345 = -4*s - i + 2198, -1409 = -3*s + 2*i. Is s >= 464?
True
Let c = -205 + 202. Let a be 1/2*c*(-384)/(-9). Is -64 smaller than a?
False
Let r = -3.4 - -4.1. Let a = 3.082 - 1.082. Which is smaller: a or r?
r
Let b = 4.905 + 2.885. Which is smaller: 0 or b?
0
Suppose 50 = i + 4*u, -30*i - 3*u + 216 = -25*i. Does 20 = i?
False
Let f = -745.5 + 609.5. Which is smaller: f or 6?
f
Let g(f) = 14*f**2 + 7*f - 3. Let s be g(1). Let o(r) = r - 20. Let w be o(-10). Let i = s + w. Which is smaller: -10 or i?
i
Let b = 0.28 - 0.3. Let r = -69.3 - -69.12. Let v = b + r. Is v < -3/2?
False
Let p = 3092.0359 - 3092. Is -6 smaller than p?
True
Let w = 0.36628 + -346.36628. Is w at least as big as 5/3?
False
Let v = -1 - 5. Let a be (-1 + v/(-9))/((-9)/729). Is 24 greater than or equal to a?
False
Let p(d) = -24*d + 134. Let q be p(5). Suppose -2*z + 3*g + g = -16, 5*z = 5*g + 15. Let u be (-5)/(-20) + (z - q/(-8)). Which is smaller: u or -1/145?
-1/145
Let c(n) = -n**3 - 7*n**2 + 91*n + 106. Let x be c(-13). Let w be (10/(-20))/(1/122). Which is smaller: x or w?
x
Let x(l) = 0*l**2 - 17*l - 4*l**2 + 3*l**2. Let i = 1194 + -1211. Let z be x(i). Which is bigger: z or -1?
z
Let f = 141 + -66. Let i = -98 + 698. Let r = 675 - i. Is r >= f?
True
Suppose 10436*f = 10458*f + 19096. Is -867 at most as big as f?
False
Let m be 110/((-121)/11) + 10. Which is smaller: -1031 or m?
-1031
Let p(q) be the third derivative of -q**5/20 + q**4/12 - q**3 + 21*q**2. Let b be p(4). Let w be 23/b*(0 - (-1)/1). Which is smaller: w or 26/5?
w
Let d = -1175 + 1830. Let c be (-8)/((-240)/d) - (-7 + 2). Which is greater: 26 or c?
c
Let n = -2170 - -2067. Let m(i) = -i**2 - 2*i - 5. Let k be m(9). Is n at least k?
True
Let y = -93999/86 - -1093. Suppose -6131 = -5*z - 36. Let w = -1220 + z. Do w and y have the same value?
False
Let b = -149 - -148.741. Let n = 1.659 + b. Is n less than 5?
True
Let p(s) be the second derivative of -s**3/6 - 3*s**2/2 + 2*s - 10. Let z be p(-3). Which is bigger: 1 or z?
1
Let s(x) = -x**2 - 44*x - 436. Let c be s(-24). Which is smaller: 38 or c?
38
Let q = -2682 - -2681. Is q at least 1/697?
False
Let x(y) = 7*y**2 - 4*y - 2. Let n be x(-1). Suppose 0 = n*s + 9*s - 720. Is 40 at least s?
True
Suppose 5*w + 12 = v, v - 3*v + 2*w + 16 = 0. Let y(g) = -2*g**2 + 6*g - 10. Let l be y(v). Let i be (-56)/l + (27/33 - 1). Is i <= 2.1?
True
Let q(y) be the second derivative of y**3/6 - 11*y**2/2 + 8*y. Suppose -44 = -3*g - 11. Let x be q(g). Are -1/2 and x nonequal?
True
Let a be (-6)/51 - -8979*(-8)/(-204). Let q be 250/875 + a/(-1134). Is 1 not equal to q?
True
Let u = 2621/20 + -131. Let n be -2 + 4863/15 - (-4)/5. Let w = 323 - n. Which is smaller: u or w?
w
Suppose -d + 2*d - 4*w + 4 = 0, 4*w = 4*d + 16. Let c be 20872/2984 + -3 + d. Is -1 bigger than c?
False
Let r(w) = 3*w - 32. Let i = 89 + -84. Suppose 4*g = -i*g + 99. Let f be r(g). Is 1/21 at least f?
False
Let p = -1.143 + 0.143. Let y = 60 - 75.5. Let o = y - -20. Which is greater: o or p?
o
Let q = -25 - 90. Let s = q + 113. Let f be 1/((-116)/(-76) + -2). Are s and f unequal?
True
Let o(b) = -b**3 - 6*b**2 + b + 2. Let t be o(-5). Let j be (-4)/(-14) - 10/t. Let i be 0*((-50)/(-250) + (-6)/(-20)). Which is smaller: i or j?
i
Let c be 18 + (-7 - 3) + 10/2. Let r be 39/c - (6 + 0 + -2). Which is smaller: r or 8?
r
Let w be -5 + 15 + -6 + 17. Let g(n) = n**2 - 16*n + 81. Let h be g(w). Which is greater: h or 187?
187
Suppose -20*j - 908 = 452. Let s be 5*(-116)/8 + 6. Which is greater: s or j?
s
Suppose 0 = 2*c + 5*k - 229, 8315*c - k = 8314*c + 76. Let i(r) = -r**3 - r**2 + 89. Let l be i(0). Is c less than l?
True
Let m be (118/6)/((-14)/(-420)). Let r be 5 + (-9)/((-63)/4102). Which is bigger: m or r?
r
Let t = 14.92 - -0.08. Let j = t - 15.45. Let n = -0.45 - j. Are n and -64 non-equal?
True
Let d(w) = 22*w**2 + 20*w - 1. Let i be d(-1). Is i less than 340?
True
Let x be 1*(102/(-17))/12. Is x at least 1.1597?
False
Suppose z + 0 = 2, -3*k - 4*z + 8 = 0. Suppose k = g + 15 - 22. Let b be 55/(-10) + 5 - g/(-18). Is 0.2 less than b?
False
Let c(l) = -l**3 - 16*l**2 + 3*l - 36. Let t be c(-16). Let i be (8/6)/(t/234). Which is greater: i or -1/2?
-1/2
Suppose 10*r - 202 = 728 + 140. Which is smaller: -11 or r?
-11
Let m be (30/7670)/(-13 + 9). Which is greater: m or 0?
0
Let d = 28266 - 28265.9. Is d less than -2986?
False
Let c = 2 + -1.9. Suppose -6*g + 81 = -4*g + 3*m, g = 3*m + 27. Suppose 20*v - g = 24. Does v = c?
False
Suppose -2*n = 10*n. Suppose n = 159*r - 167*r. Is r <= -247?
False
Let s = 0.203 + 29.797. Let m = s - 124. Do 0.1 and m have different values?
True
Suppose -2*o = -4945 - 8315. Let h = o - 13759/2. Let k = -244 - h. Is k at most 5?
False
Let t = 2.99 + -2.7. Let a = t - 0.49. Let w = 15.981 - -2.019. Which is greater: w or a?
w
Let p = -39 + 43. Suppose g - p*g = 312. Let j be (2/4)/(2/g). Which is smaller: j or -1?
j
Let z(w) = 6*w**2 - 9*w - 4. Let t = -257 - -253. Let b be z(t). Is 128 <= b?
True
Let c = 29 + -30. Let h = -847097108604/222545 + 19032041/5. Let n = -2/947 - h. Is n at least c?
True
Let g(r) = r**3 + 9*r**2 + 16*r + 66. Suppose 0 = 2*q + 10*v - 6*v + 12, 5*q = 3*v - 43. Let h be g(q). Which is smaller: -0.2 or h?
-0.2
Let o be (3/(-75))/(2/(-6)). Let b(i) = -8*i**3 - 11*i**3 + 65*i - 5*i**2 - 10 - 8*i**3 + 26*i**3. Let y be b(-11). Which is bigger: o or y?
y
Let j be (-224)/84 + (-62024)/(-23268). Are 1 and j non-equal?
True
Suppose 5*x + 3*h = 120 + 42, 0 = -2*x + 5*h + 102. Let a(t) = t**2 + 2*t - 3. Let u be a(-3). Suppose -4*z + 13*z - x = u. Is z > 2?
True
Suppose 27 = 5*f + 52. Let g be (-4 - f)/(1/(-5)) - 153. Which is smaller: -156 or g?
g
Let i = 6363 - 6363. Let v be 2990/940 + 5/(-2). Which is bigger: i or v?
v
Let x be (48/(-56)*-7)/(1*-5). Let d be 0/((-2)/6*(-11 + 14)*2). Is d equal to x?
False
Let w be (-40)/(-35) - 2863397/623. Is w greater than -18377/4?
False
Let y = -1357/116730 - -2/3891. Let q = 5756 - 5757. Do q and y have different values?
True
Let c be 2 + 8462/(-16) - (-8)/(-64). Is c <= -2637/5?
False
Let n = 1875 + -1874. Which is smaller: n or 2/1471?
2/1471
Suppose 4*l - 1206 = 5*o, -4*o + 1188 = -16*l + 20*l. Let d = l - 301. Is d greater than or equal to -10?
True
Suppose -5*g = 0, 0 = -3*a - 5*g - 22 - 14. Let p be (a - -13)/((-1)/(-34)). Let s = -18 + p. Is s less than -1/3?
False
Suppose -9*x + 69 = -111. Let i(u) = 17 + 16 + x*u**2 - u - u**3 - 13. Let c be i(20). Do c and -1/4 have the same value?
False
Suppose 3*s = -3*h - 201, 8*s - 13*s = -11*h - 641. Which is bigger: h or -56?
| {
"pile_set_name": "DM Mathematics"
} |
- 10*f**2 + (-f - 2*f + 5*f)*(f - 4*f + 6*f) - 2*f**2 + 0*f**2 - 11 + 5 to t + p*f**2 + y*f and give t.
-6
Rearrange 299*n + 579*n + 388*n + 1784*n + 4059*n to p*n + u and give p.
7109
Rearrange (4*x**2 - 4*x**2 - 4*x**2)*(8632*x**2 - 125*x + 7*x + 2 - 2 + 118*x) to the form q*x + v*x**4 + c*x**3 + u + a*x**2 and give v.
-34528
Rearrange 18 - 17 - 5*y**2 + 334*y + y**4 + 3*y**2 - 6*y**3 - 2*y**3 + 6*y**3 to the form o*y**4 + c*y**3 + z + a*y + i*y**2 and give z.
1
Rearrange -b**2 - 2055*b - 1294655 + 1294655 + (-4 + 1 + 4)*(0*b**2 + 0*b**2 - b**2) + 3 - b**2 - 3 to y + v*b + f*b**2 and give f.
-3
Rearrange 1714*j - 5061*j - 3976*j to a*j + u and give a.
-7323
Rearrange (h - h - h)*(-606 + 2066 + 2804 + 713 + 471) to y*h + v and give v.
0
Rearrange (-3*z + 3*z + 2*z)*(-5848*z - 33928*z - 6719 - 2234*z + 3360 + 3359) to i + c*z + x*z**2 and give i.
0
Express -330*m**4 + m**3 - 61*m**2 - m - 34*m**4 - 2 - 58*m**2 + 119*m**2 in the form t*m**4 + v + w*m**2 + o*m**3 + h*m and give t.
-364
Rearrange (4 - 4 - 1 - 21 + 1 - 15 + (3 - 4 + 0)*(2 - 2 + 1) - 1 + 5 - 3 - 4 + 0 + 8)*(-b - 7*b + 3*b + 3) to k*b + h and give h.
-96
Rearrange 10831 - 10936 + 14*j**3 + j - 7*j**3 + 12*j**3 - 6*j**3 to i + t*j + y*j**2 + q*j**3 and give y.
0
Express 4 - 3*p + 10650*p**3 + 5*p - p**4 - 10651*p**3 - 96*p**2 in the form t*p + b*p**3 + x + q*p**4 + n*p**2 and give n.
-96
Rearrange (6*y**4 - 5 + 5)*(466 + 552 + 437 + 508 + 968) to the form h + o*y + b*y**3 + w*y**4 + c*y**2 and give w.
17586
Rearrange (0 + 0 + n)*(0 + 5 - 1)*(-5 + 0 + 1) - 2*n + 4*n + 0*n + (3 + 1 - 1)*(2*n + 0*n - 5*n) to the form d*n + w and give d.
-23
Express (44*v + 96*v - 11*v)*((11*v + 5*v - 7*v)*(1 - v - 1) + 1 - v**2 - 1) in the form g + k*v**2 + w*v + t*v**3 and give k.
0
Rearrange -f**4 - f**2 - 570 - f**2 - 5*f**2 - 528 + 4*f**2 to g*f + o + t*f**4 + v*f**2 + a*f**3 and give o.
-1098
Express -7*d**3 - 1691 - 150*d**2 + 35*d - 37*d + 1691 in the form i*d + l*d**3 + u + n*d**2 and give n.
-150
Rearrange (4 - 2 + 0)*(2*m - 5*m + m)*(2098 + 667 + 290) to the form a*m + u and give a.
-12220
Rearrange -2*g + 1008 + 3*g**2 - 40 - 67 + 221 to the form n*g + b*g**2 + i and give b.
3
Express -38*u**2 - 3*u + 3*u + (255*u - 48*u + 140*u)*(u + 5*u - 4*u) in the form v*u**2 + i*u + g and give v.
656
Express -148*k**4 + 3 - 1014*k**2 + 551*k**2 + 459*k**2 as y + m*k**2 + r*k + v*k**3 + x*k**4 and give y.
3
Express (4*h**2 + 2*h**2 + 0*h**2)*(44 - 64 + 27)*(-4 + 3 + 6)*(-2 - 2 + 6) in the form v*h**2 + f*h + k and give v.
420
Express -2 + 84*j**2 + 58*j**2 - 179*j**2 - 11*j + 74*j**2 in the form r + s*j**2 + n*j and give s.
37
Express -72877*d**2 - 12*d**4 - 17*d**3 - 9*d**3 + 72874*d**2 - 1 in the form f*d**4 + g + j*d**2 + m*d + x*d**3 and give x.
-26
Express 4 - 29 + 918*m - 899*m in the form j + p*m and give p.
19
Rearrange (103 - 5*n - 69 + 20*n)*(-1 + 1 + 5) to u + h*n and give h.
75
Express 127*v - 17*v - 611*v - 844*v - 1400*v as f + l*v and give l.
-2745
Rearrange 3*q**2 + 3 + q**2 - 1739*q + 1771*q - 6*q**2 to j*q**2 + b*q + s and give j.
-2
Express (-7*a**2 - 10 + 10)*(-10*a**2 + 24*a**2 - 13*a**2) - 3*a**4 - 2*a**4 + a**4 in the form h*a**3 + n*a + i + g*a**4 + t*a**2 and give g.
-11
Express 299 - 621 + 320 + 2*h**2 + 26*h**3 in the form o*h**3 + i*h**2 + x*h + y and give x.
0
Express 32*w**2 - 14*w**2 + w**3 + 12*w**2 + 8*w**2 + 15*w**2 in the form h*w**2 + l*w + g*w**3 + r and give g.
1
Rearrange (0 + 3 + 0)*(-4 + 0 + 0)*(-63 - 293 + 39 + (4 - 4 - 2)*(-2 + 2 - 2) - 1 + 3 - 3)*(3 + 2 - 6)*(-3*s + 0*s + 5*s) to the form f*s + z and give f.
-7536
Express 2 + 5 + 107*r**2 - 4 + 654*r**2 - 4 as n + j*r + g*r**2 and give g.
761
Express 190*k + k**4 - 800*k - 5 + k**3 + 4*k**4 + 658*k in the form x*k**2 + l*k**3 + p*k + a*k**4 + w and give a.
5
Rearrange (15*f**2 + 8*f**2 - 8*f**2)*(f**2 + f**2 + 9*f**2 + (5*f - 7 + 7)*(6*f + 3 - 2*f - 1)) to m*f**3 + w + v*f**4 + x*f + o*f**2 and give v.
465
Rearrange (12 + 12 - 5)*(-18*g**3 - 19*g - 15*g**3 + 21*g**3) to r*g**3 + z + y*g**2 + l*g and give r.
-228
Rearrange (12934 + 48*d - 12934)*(-6 + 5 - 3 + (-2 + 5 + 2)*(3 - 6 + 1) - 5 + 2 + 4) to f + o*d and give o.
-624
Express 66*l**3 + l + 11 - 138*l**3 + 0 - 8 in the form o + b*l**3 + j*l + c*l**2 and give b.
-72
Rearrange -1273 - 1270 + 295*n - 1276 + 3819 to the form g*n + k and give g.
295
Express -2*u**4 - u + u + (-2*u**3 + 2*u**3 - u**3)*(4635*u - 1996*u - 2222*u) as y*u**2 + v*u**3 + c*u + w*u**4 + k and give w.
-419
Express 146 - 524 + 192 + 186 + 11501*s as y + u*s and give u.
11501
Express (782 - 782 + 16*t)*(6*t**3 + 22*t**3 + t**3) - t**2 + t**2 + t**4 as v*t**2 + o*t + l*t**4 + s + h*t**3 and give l.
465
Express 7012*k**2 + 2036*k**3 + 10694*k**3 - 7014*k**2 in the form b*k**3 + f*k**2 + p*k + h and give f.
-2
Express -q**3 + 285935 - 4*q**4 + 2*q**3 + q**3 - 285937 + 55*q**2 as w*q + x*q**4 + r*q**2 + h + f*q**3 and give r.
55
Rearrange -n - 9*n**2 + 48*n**3 - 2*n**4 - 2 - 27*n**3 + 3*n**4 to j*n + d + u*n**3 + w*n**4 + q*n**2 and give w.
1
Express 559*f + 51 - 479*f - 49 in the form p + s*f and give s.
80
Express (-2*i + 4*i + 0*i)*(10*i**2 + 8*i - 8*i)*(20*i + 45*i + 112*i) in the form f + z*i**3 + y*i**4 + q*i**2 + p*i and give y.
3540
Express (-2 - 3 + 1)*(438*v**2 - 237*v**2 - 346*v**2)*(0*v + 4*v - 2*v + (-5 + 4 + 3)*(-25 - 11*v + 42 - 19)) as j*v**3 + z*v**2 + f*v + y and give j.
-11600
Rearrange -561*g**2 + 18*g + 262 + 560*g**2 + 2*g**4 - 19*g to the form h*g**3 + i*g**4 + c + v*g**2 + y*g and give c.
262
Rearrange -14*f + 5*f**3 - 155*f - 32*f + (-3*f**2 + 3*f**2 + 3*f**2)*(2*f + 0*f - 4*f) + 21*f**2 + 3*f**3 - 21*f**2 to s*f**3 + h*f**2 + i + n*f and give s.
2
Rearrange 3 + 891*q + 472*q - 4 + 2 to the form i + r*q and give i.
1
Rearrange -2*k + 0 + 0 + (2*k - k + k)*(-2 + 6 + 0) - 3*k - 7*k + 9*k - 3 + 4*k + 3 - 1 + 1 - k + (-3 - 4 + 4)*(3*k - 3*k + 6*k) to r + g*k and give g.
-10
Express (-3 + 3 + n)*(-3*n**2 + n**2 + n**2) + 1067218*n**2 - 1607*n**3 - 1067218*n**2 in the form z*n**3 + a*n + y*n**2 + t and give z.
-1608
Express 4*n**2 - 7*n**2 + 9*n**4 + 2*n**4 + 1 - n - 73*n**2 - 12*n**4 in the form h*n**4 + a + o*n**3 + m*n + i*n**2 and give i.
-76
Rearrange 6212*a - 3115*a - 2*a**4 - 10*a**2 - 3097*a + 2 - 7*a**2 - 54*a**3 to r*a**3 + z*a**4 + c + d*a**2 + y*a and give z.
-2
Express -6446*g**2 + 6332*g**2 + 0*g - 10 + 0*g as h*g + x + k*g**2 and give x.
-10
Rearrange (1 - 1 + 2*n)*(-4 + 1 + 1) - 5*n + 3*n + n - 7750*n - 35163 + 35163 to y*n + m and give m.
0
Rearrange (2 + 0 - 3)*(2 - 2*y**2 - 2) - 18*y - 585*y**2 + 522*y**2 + 18*y to the form r + x*y + h*y**2 and give h.
-61
Rearrange (155 - 97 + 321)*((-2*x - x + 2*x)*(-1 + 2 + 0) - 10*x + 4*x - 29*x) to b*x + l and give b.
-13644
Rearrange -6543562*h**4 + 5 + 6371471*h**4 - 5 + 0 + (1 - 5 + 6)*(2*h**3 - 2*h**3 + 2*h**4) to the form j*h + o*h**2 + i + k*h**4 + n*h**3 and give i.
0
Rearrange -338*i - i**2 - 26*i**3 + 345*i + 25*i**3 to the form h*i**2 + c*i**3 + u*i + f and give u.
7
Express (-5*n + 2*n + n)*(1 + 0 - 2) - 2143*n + 7409*n + 2174*n - 4 + 7516*n + 4 as a*n + l and give a.
14958
Rearrange (3 - 3 + 1 + (-2 + 0 + 4)*(1 - 4 + 2) + (-1 + 3 + 0)*(-2 - 3 + 2))*(-4*d**2 - 13*d**2 + 0*d**2) to the form l*d**2 + x*d + a and give l.
119
Express 3280*s - 1203198 + 1203198 in the form y + b*s and give b.
3280
Rearrange -22 + 50 - 16 - 10 - 395*i - 2*i**2 - i**2 to s*i**2 + q + p*i and give p.
-395
Express (-164*a - 70*a - 86*a)*(0*a - a**2 + 0*a)*(2*a + 0*a - a) as m*a**2 + p*a**3 + z*a + j*a**4 + b and give j.
320
Express (-3*x**2 + 6*x**2 - 4*x**2)*(-254*x + 184*x + 1439*x)*(4 - 2 - 3) as a + f*x + v*x**3 + w*x**2 and give v.
1369
Rearrange (41*g + 42*g + 60*g)*(-29 + 1 - 5) to f + k*g and give k.
-4719
Express (-3*r**2 + 5*r**2 - 4*r**2)*(-82*r + 188*r - 1913*r) in the form t*r**3 + k*r**2 + w*r + o and give k.
0
Rearrange 6970*q**3 + 22*q**2 - q + 5 + 6970*q**3 - 13938*q**3 to i*q + c + t*q**2 + b*q**3 and give i.
-1
Express -2*c**2 - 975 + 955 - 11*c - 11*c as y*c + k*c**2 + j and give j.
-20
Express -36*m**4 - m**2 + 1 + 55*m**4 + 3*m - 75*m**3 - 21*m**4 as t*m + d*m**3 + p*m**2 + z + c*m**4 and give p.
-1
Rearrange (-7*u + u + 3*u)*(-5283 + 1154 - 3866)*(1 + 2 - 1) to the form o*u + t and give o.
47970
Express - | {
"pile_set_name": "DM Mathematics"
} |
r + 2
Let g(o) be the second derivative of -11*o**4/12 - 4*o**3/3 - 7*o**2 + 3*o + 15. Let y(d) = 4*d**2 + 3*d + 5. Give 3*g(f) + 8*y(f).
-f**2 - 2
Let k(g) = -5*g**2. Let m = -8 - -5. Suppose 6*l - 10*l = -4*n + 32, -n = -1. Let x(b) = 11*b**2. What is l*k(y) + m*x(y)?
2*y**2
Let p(n) = -8*n**2 - 5*n - 4. Let m(h) = h**2 + 3*h + 2. Give -2*m(r) - p(r).
6*r**2 - r
Let d(s) = -s**2 - 4*s + 2. Let b be d(-3). Suppose 0 = -2*n - 2*q, -5*q = -b*n + 2*n - 16. Let g(c) = 3*c**2 - c - 1. Let u(t) = t**2. What is n*u(m) + g(m)?
m**2 - m - 1
Let n(j) be the third derivative of j**6/24 + 7*j**5/60 - j**4/8 - 2*j**3/3 - 164*j**2. Let r(t) = -2*t**3 - 3*t**2 + t + 2. What is -3*n(s) - 7*r(s)?
-s**3 + 2*s - 2
Let g(d) = 1331*d + 5. Let u(z) = -51912*z - 196. Calculate -196*g(r) - 5*u(r).
-1316*r
Let y(p) = p**2 - p - 2. Let s(u) = -10*u**2 + 9*u + 10. What is 4*s(k) + 20*y(k)?
-20*k**2 + 16*k
Suppose -22*s - 52 = 36. Let t(b) = -b - 2. Let h(i) = i**2 + i. Let a(m) = -2*h(m) - t(m). Let z(n) = 2*n**2 + n - 2. Give s*z(k) - 5*a(k).
2*k**2 + k - 2
Let v(s) be the first derivative of -9*s**4/4 - 5*s**3/3 - 7*s**2/2 - 5*s + 215. Let f(m) = 13*m**3 + 7*m**2 + 10*m + 7. What is 5*f(y) + 7*v(y)?
2*y**3 + y
Let a(z) = -105*z**3 + 90. Let b(i) = -1 + 15655*i - 15655*i + i**3. What is a(d) + 90*b(d)?
-15*d**3
Let v(j) = -4*j**3 + 7*j**2 - 5*j + 7. Suppose 2*t - 65 = 23. Let n = t + -47. Let q(a) = 2*a**3 - 3*a**2 + 2*a - 3. What is n*v(y) - 7*q(y)?
-2*y**3 + y
Let r(j) = 4*j + 2*j + 1 - 3*j - 2*j. Let o = 103 - 104. Let k(x) = -x**2 + 6*x + 5 + x - x**2. Calculate o*k(n) + 6*r(n).
2*n**2 - n + 1
Let o(z) = -z - 1. Let g(q) = q**2 - 3*q - 3. Let a be g(-3). Let d(c) = -a*c + 5*c + 12*c - 2. What is d(u) - 2*o(u)?
4*u
Let r(g) = 1387*g - 2774*g + 2 + 1386*g. Let o(u) = -3*u + 6. Give 4*o(j) - 11*r(j).
-j + 2
Let u(b) = 2*b**3 - 5*b**2 + 142. Let g(s) = -3*s**3 + 7*s**2 - 213. Determine -5*g(a) - 7*u(a).
a**3 + 71
Let d(a) = 2*a**2 + a. Let k be (140/(-840))/((-2)/4). Let c(r) be the first derivative of -1/2*r**2 + 0*r + 7 - k*r**3. Calculate -5*c(f) - 3*d(f).
-f**2 + 2*f
Let t(d) = 5*d**3 + 4*d**2 + 4*d. Let z(f) = f**2 - 7612 + 7612 + f + f**3. Let i(b) = -b**3 + 2*b**2 + 2*b + 1. Let a be i(3). Give a*t(o) + 9*z(o).
-o**3 + o**2 + o
Let w(s) = 17*s**2 + 7*s + 11. Let i(d) = -18*d**2 - 8*d - 11. Determine 5*i(y) + 6*w(y).
12*y**2 + 2*y + 11
Let a(s) = -6*s - 3. Let d(f) = f. Let m(c) = -1. Let t(z) = 2*d(z) - m(z). Let u = -178 - -293. Let o = u + -108. What is o*t(g) + 2*a(g)?
2*g + 1
Let y = 149 - 127. Let h(n) = -2*n - 1. Let j(t) = 8*t + 4. Determine y*h(p) + 6*j(p).
4*p + 2
Let f be 7 + (-2 - (-1 - 3)). Let x(n) be the first derivative of -n**2 + n + 35. Let r(g) = 8*g - 4. Give f*x(q) + 2*r(q).
-2*q + 1
Let p(x) = -6*x + 6. Let u(j) = -10*j + 17. Let a(m) = -5*m + 8. Let r(y) = -7*a(y) + 3*u(y). Suppose 0 = g + 7 - 2. Calculate g*r(b) - 4*p(b).
-b + 1
Let m(x) = 14*x**3 + 7*x. Let l(q) = q**3 + q. Give -14*l(z) + 2*m(z).
14*z**3
Let b(y) be the second derivative of -5*y**3/2 - y**2 - 471*y. Let o(v) = -15*v - 3. Calculate -3*b(p) + 2*o(p).
15*p
Let m(i) = -2*i. Let g = -46 + 46. Let d(b) = -4*b + 3*b + g*b + 2*b. Suppose -5*t = -5*r + 5, 5*r = -2*t - 0*r - 23. Give t*d(y) - m(y).
-2*y
Let m(r) = 137*r**3 + 822*r. Let i(c) = c. Determine 822*i(t) - m(t).
-137*t**3
Let y(h) = -4*h**3 - 14*h**2 + 14*h - 14. Let z(w) = w**3 + 3*w**2 - 3*w + 3. Suppose -u + 41 + 39 = -3*r, 0 = -3*r - 4*u - 100. Determine r*z(g) - 6*y(g).
-4*g**3
Let t(i) = 41*i**2 + 2*i - 13. Let y(p) = -21*p**2 - p + 6. Calculate -4*t(g) - 9*y(g).
25*g**2 + g - 2
Let o(u) = 4*u**3 + u**2 + 5*u - 3. Let n(q) = 45*q**2 - 8*q**3 - 6*q + 3*q**3 + 46*q**2 - 137*q**2 + 45*q**2 + 4. Determine 3*n(l) + 4*o(l).
l**3 + l**2 + 2*l
Suppose 10*r - 21 = 39. Let s(a) = 4*a**2 + 2*a + 3*a**2 + 7*a**3 + 6 - 11*a**2. Let p(i) = -13*i**3 + 7*i**2 - 4*i - 11. What is r*p(t) + 11*s(t)?
-t**3 - 2*t**2 - 2*t
Let y(p) = 657*p - 2. Let v(r) = 657*r - 2. Calculate 4*v(w) - 5*y(w).
-657*w + 2
Let h(d) = d**2 + 4*d + 4. Let g(p) = p**3 - 17*p**2 - 18*p + 9. Let z be g(18). Let s(f) = -23 + f + 4 + z + 11. Give h(u) - 2*s(u).
u**2 + 2*u + 2
Let m(o) = -2*o + 1. Let a(s) = -441*s + 4. Calculate -a(y) + 4*m(y).
433*y
Let b(l) = -73*l**3 - 12*l. Let a(k) = 948*k**3 + 158*k. What is -6*a(y) - 79*b(y)?
79*y**3
Let d(m) = -m**3 + m**2 - 5*m - 1. Let l(s) = -3*s**3 + s**2 - 12*s - 3. Give -7*d(x) + 3*l(x).
-2*x**3 - 4*x**2 - x - 2
Let r(d) = 307*d - 12. Let g(k) = -69690*k + 2727. Determine 4*g(j) + 909*r(j).
303*j
Let f(c) = 1. Suppose -23 + 49 = 4*t - 2*h, -2*t - 2*h = 2. Let l(k) = 2*k - 7. Let m(r) = r - 3. Let n(w) = -4*l(w) + 9*m(w). What is t*f(o) - 4*n(o)?
-4*o
Let v(w) = -13*w**2 + 5*w. Let k(n) = -7*n**2. Let z(i) = 180*i**2 - 4*i. Let t(s) = 24*k(s) + z(s). Give 5*t(d) + 4*v(d).
8*d**2
Let u(f) = -19. Let a(c) = 10. Let l(h) = -2*a(h) - u(h). Let k(x) = -x. Let r be 2/(-9) - (-60)/27. What is r*k(y) - 3*l(y)?
-2*y + 3
Let w(z) = z**3 - z + 3. Suppose 5*r - 4*p - 553 = 0, 0*p + 4*p - 12 = 0. Let v = 116 - r. Let u(s) = 2*s**3 - s**2 - s + 4. Calculate v*u(a) - 4*w(a).
2*a**3 - 3*a**2 + a
Let p(f) = -f**2 - 1. Let u(x) = 25. Let t(y) = 9. Let c(n) = 11*t(n) - 4*u(n). Calculate c(a) - p(a).
a**2
Let s(l) = -l. Let u(m) = -4*m - 8. Let b(c) = 2*c**2 + 3*c + 2. Let p be b(-1). Calculate p*u(y) - 5*s(y).
y - 8
Let b(h) = -3*h**3 - h**2 + 2*h. Let d = 30 - 30. Let c = -2 - d. Let l(i) = i**2 - i. Determine c*l(n) - b(n).
3*n**3 - n**2
Let s(p) = p**2 - p - 1. Suppose 0 = q + 18 - 21. Suppose 3*u - 3 + 6 = 0, -q*r - 2*u = -22. Let z(a) = -12*a**2 + 8*a + 8. Determine r*s(t) + z(t).
-4*t**2
Let m(x) = x**2 - x. Let v(q) = 3*q**2 - 6*q + 4. Let r(f) = 4*m(f) - v(f). Let j(h) = h - 4*h**2 - 24 - 26 + 3*h**2 + 49. Calculate -2*j(i) + r(i).
3*i**2 - 2
Let x(f) = f - 1. Let c(d) = -12*d + 12. Let g(k) = 8*k - 8. Let l(a) = 5*c(a) + 8*g(a). Let b = -1971 - -1969. What is b*l(q) + 7*x(q)?
-q + 1
Let h(i) = 19*i**2 + 8*i + 11. Let v(w) = -6*w**2 - 3*w - 4. Give 4*h(b) + 11*v(b).
10*b**2 - b
Let g(y) = -5*y - 6. Suppose -3*h - 4*b + 36 = -8*h, 28 = -3*h + 4*b. Let a(v) = 11*v + 13. Give h*a(l) - 9*g(l).
l + 2
Let v(k) be the third derivative of -1/12*k**5 + 0*k + 0 + 1/6*k**3 - 29*k**2 - 1/6*k**4. Let b(t) = t**2 + t. Give 2*b(m) + v(m).
-3*m**2 - 2*m + 1
Let p(w) = -w + 1. Let j(z) = 17*z - 8. Let h(b) = -20*b + 9. Let l(g) = 5*h(g) + 6*j(g). What is l(f) + 4*p(f)?
-2*f + 1
Let k(p) = 11*p**2 - 3*p. Let s(t) = -34*t**2 + 8*t. Let c be -1*17 - (133 + -142). Calculate c*k(y) - 3*s(y).
14*y**2
Let h(i) = 2*i**2 - i - 2. Let o = -63 - -61. Let n(j) = -2*j - 6 - 4*j - 3*j**2 + 13*j**2 - 5. Calculate o*n(a) + 11*h(a).
2*a**2 + a
Let z(n) = -n**3 + n**2 - n - 1. Let d(p) = -5*p**3 - 55*p**2 - 2*p - 4. Determine -d(o) + 2*z(o).
3*o**3 + 57*o**2 + 2
Let j(x) = 8*x. Let p(q) = 5*q. Let b(r) = -r**2 + 36*r - 64. Let m be b(34). Give m*j(h) - 8*p(h).
-8*h
Let p(l) = -3*l - 3. Let g(q) = -5*q - 6. Let k = -1120 + 1127. Give k*p(c) - 4*g(c).
-c + 3
Let u(n) = -193*n**2 - 3*n + 7. Let l(d) = -193*d**2 - 4*d + 8. Determine -3*l(c) + 4*u(c).
-193*c**2 + 4
Let l(p) = -p - 1. Let x(k) = 31*k - 244. Let z be x(10). Let v(d) = -11*d**2 + 66*d + 66. Determine z*l(y) + v(y).
-11*y**2
Let u(f) = 10*f**2 - 40*f. Let r(b) = -7*b**2 + 25*b. Determine 7*r(g) + 5*u(g).
g**2 - 25*g
Let o(z) = -z**2 - z - 1. Let h(a) = -2*a**3 + 6*a**2 + 7*a - 110. Determine h(d) + 6*o(d).
-2*d**3 + d - 116
Let r(d) = 6*d**2 + 6. Suppose 0 = -3*w - 2*w - 5. Let l(q) = 4 + q**2 - 1 - 2. Determine w*r(u) + 4*l(u).
-2*u**2 - 2
Let s(n) = n**2 - 4. Let o(l) = 2*l**2 - 1. Let i(g) = 3*o(g) - 2*s(g). Let d(h) = 4*h**2 + 4. Determine 3*d(f) - 2*i(f).
4*f**2 + 2
Suppose 2 = p + 5. Let w(f) be the first derivative of f + 210. Let g(u) = u + 5. Determine p*w(l) + g(l).
l + 2
Let v(i) = -255*i - 11. Let j(g) = -254*g - 14. Give 4*j(x) - 5*v(x).
259*x - 1
Let m(k) be the third derivative of k**3/2 - 7*k**2. Let z(b) = -b**3 - 4. Let r(q) = -q**3 - 5*q**2 - 7*q - 6. Let f be r(-3). What is f*z(y) - 4*m(y)?
3*y**3
Let g(i) = -2*i**2 + 6*i - 1. Let m(b) = b**3 - 7*b**2 + 19*b - 3. Calculate -7*g(f) + 2*m(f).
2*f**3 - 4*f + 1
Let k(q) = q**3 + 4*q**2 - 2*q - 6. Let g be k(-4). Let t(r) = 3*r**2 - | {
"pile_set_name": "DM Mathematics"
} |
be 4/(-10) - 8/5. Let w be (4 - 1)*s/(-6). Which is the closest to 2? (a) -0.2 (b) w (c) 1/4
b
Let t = -4.5 - -4.7. What is the nearest to -4 in t, 5, 0.5?
t
Let d(n) = -n**3 - n - 1. Let k(z) = 3*z**3 - 5*z**2 - 3*z - 4. Let x(l) = -2*d(l) - k(l). Let r be x(6). Which is the closest to -2/3? (a) -5 (b) r (c) -4
b
Suppose -5*i = 4*k + 396, -4*k + 4*i = 2*i + 424. Let r = k + 517/5. Let h = -0.2 - -0.2. Which is the closest to -1? (a) h (b) r (c) -1/3
b
Let i = -527/5 - -105. Let p be 2/6*(1 - 2). Which is the nearest to 0.1? (a) p (b) -6/11 (c) i
a
Let w be (3/6)/(10/5). What is the nearest to -1 in w, -5, 13?
w
Let n be 2 - (-39)/(-9) - 3/(-9). What is the closest to -0.06 in 1, n, 3?
1
Suppose -x + 2*q = 0, 2*x = 7*x - 3*q. Suppose -2*b - 2*b + 4 = x. What is the nearest to 0 in 2/5, -2/7, b?
-2/7
Let w = -13.5 + -3.5. Let k = -19 - w. Let s = -3/23 - -84/115. Which is the nearest to 0.1? (a) 1/5 (b) s (c) k
a
Let g = -1203 - -1207.83. Let u = g + 0.17. What is the closest to 0.05 in 0.5, u, 2?
0.5
Let l = 153 + -153.2. Which is the nearest to -0.1? (a) l (b) -0.5 (c) 7
a
Let f = 26/3 + -344/39. Let v = 5 + -9. Which is the closest to 4? (a) 2/11 (b) f (c) v
a
Suppose 4 + 1 = -5*t. Let p be (6 - 2)/(9 + -2). Let w = -4.1 + 4. Which is the nearest to w? (a) -0.4 (b) p (c) t
a
Let u = 0.073 + 0.027. What is the nearest to u in -9, -0.2, -1/3?
-0.2
Let f be 4/(-6) - 1/(-6). Which is the nearest to f? (a) -2 (b) 5 (c) -0.5
c
Let t = 23 - 32. Let h = t - -5. Let q = -12/5 - -56/15. Which is the closest to 1? (a) q (b) h (c) 5
a
Let u = -0.3 + 3.3. Let p(w) = -w**2 - 6*w - 5. Let r be p(-5). Let l be 8/16 + (-10)/(-12). Which is the closest to r? (a) l (b) u (c) -1/3
c
Suppose 4*v + 8*v = 3*v. Let j be 3/(-10) - (-2)/5. What is the nearest to v in j, 3, 1?
j
Let f = -44 + 309/7. What is the closest to 3 in 3, -1/3, f?
3
Let d = -19 + 19.1. Suppose 3*t - 163 = 2*s, 0 = -2*t + 4*s - 33 + 155. Let l be (-2)/(-1) - t/21. Which is the closest to d? (a) l (b) 3 (c) 0
c
Let m be 2/4 - 40/(-16). Let d be (1/2*2)/m. Let z = -2.6 - 0.4. Which is the closest to -1? (a) z (b) -0.2 (c) d
b
Let h = 15.65 + -0.65. Which is the closest to 0? (a) 0 (b) -2/7 (c) h
a
Let f = 5 + -5. Suppose 4*w + r - 6 = 2*w, -2*w - 2*r + 10 = f. Which is the nearest to w? (a) 0.5 (b) 5/3 (c) -0.3
a
Let y = 0.037 - -0.063. What is the closest to 1 in 5, y, 1/4?
1/4
Let t(j) = -j**3 - j**2. Let z be t(1). What is the closest to -2 in 0.2, -1/6, z?
z
Let q = 8 - 17/2. Which is the closest to 3? (a) q (b) -2 (c) 3
c
Let i be (-2)/3*(20 + -18). Suppose 5*u - 2*u = 3*x + 15, 5*u = 4*x + 20. Which is the closest to 0.1? (a) 1 (b) x (c) i
a
Let u = -4.2 - -4. Let b = 10 + -7. What is the closest to 1 in b, u, -0.5?
u
Let i = 0.82 - 0.02. Let x = i + -0.9. Which is the closest to x? (a) -1 (b) 2/13 (c) -0.1
c
Let j = -197 - -205. What is the nearest to 0.3 in j, 1/8, -0.5?
1/8
Let l be (-4)/(-14) - 2/56. Let n = -0.16 + 0.4. Let g = 0.06 + n. Which is the closest to l? (a) -0.5 (b) 1/9 (c) g
c
Let a = 2/91 + 81/455. What is the nearest to 3/2 in -0.5, a, 0.1?
a
Let a = 0.2 - 0.6. Let v = 0.84 + 3.16. What is the closest to 1/2 in -1, a, v?
a
Let t = 0.31 - 0.01. Which is the closest to -1? (a) t (b) -0.2 (c) 0.4
b
Let v be -2 - 264/(-45) - (-2 - -6). Let s be ((-24)/(-18))/(1*-2). Let q = 0.3 - -1.7. Which is the nearest to s? (a) v (b) 0.2 (c) q
a
Suppose z + 0 + 2 = g, 3*z - 2 = -g. Let i be (-3)/(-6)*8/7. Let y be (-2)/(-7) + (-78)/(-21). What is the closest to z in y, 0, i?
0
Let q = 6.9 + -7. Let g = 0 + -2. Which is the closest to -2/7? (a) g (b) -2/7 (c) q
b
Let u = -6.4 - -6. Which is the closest to -1/3? (a) 0 (b) 2 (c) u
c
Let l = 0.12 - 0.02. Suppose -g - 3*g = 16. Which is the nearest to l? (a) -3 (b) g (c) -1
c
Let h be (-5)/30 + (-34)/12. Let s = -2.3 - -2.2. Which is the nearest to s? (a) -5 (b) h (c) 2
c
Let w = -0.38 - 0.12. Which is the closest to 2? (a) w (b) 0.2 (c) 5
b
Let i = 1 + -6. Let g be (4 - 6) + 14/8. What is the nearest to g in 3, 0.4, i?
0.4
Let g = 1.5 + 0.5. Let r be 36/(-16)*(6 - 2). Let z = r + 19/2. What is the closest to g in 0, z, -0.4?
z
Let d be (10/6)/(-1) + (-38 - -40). Which is the nearest to -0.1? (a) -0.5 (b) d (c) 0
c
Let l be -2 + (-9)/(-4) + (-15)/(-30). What is the nearest to -0.1 in 4, -18, l?
l
Let d = -83 - -85. Which is the closest to 2/5? (a) d (b) 2/7 (c) 4
b
Let i = -9 + 26/3. Let p = 1.2 + -6.2. What is the closest to 0 in i, -1/8, p?
-1/8
Suppose -3*z - 2*f = f + 6, -f + 13 = -2*z. What is the closest to 0 in 1, -1.2, z?
1
Let g = -23 - -22. Let p = g - -1.4. What is the nearest to -1 in p, -1, -5?
-1
Let s = -5 - -5.2. Let z = 1.4 - -2.6. Which is the nearest to 3? (a) z (b) 0.1 (c) s
a
Suppose 0 = -4*u - 4*t + 4, 5*u + 0*t = 4*t + 5. Which is the nearest to -0.1? (a) u (b) 0.5 (c) -5/7
b
Let m = 4 - 0. Let l = 0.2 - 0.3. Let c = 0.1 + l. What is the closest to 0 in m, c, 2?
c
Let f = -0.2 + 0.3. Let p = -23/6 + 11/3. Let u = -41/69 - -6/23. Which is the nearest to f? (a) u (b) -0.1 (c) p
b
Let s = 68 - 342/5. Which is the nearest to s? (a) -2 (b) 3/4 (c) -3/7
c
Suppose 3*f - 7 = 5*v + 2, 5*f - v - 15 = 0. Let q = 8.9 + -9. What is the closest to q in f, 5/2, -2/7?
-2/7
Let x = -0.2 - -0.3. Let s be (474/(-32))/(3/12). Let w = 59 + s. Which is the nearest to x? (a) w (b) 2 (c) 0.5
a
Let d = 0.02 - 0.02. Let r = d - 0. Let j be -2 - (-1)/2*-4. What is the nearest to r in j, 2/7, -3?
2/7
Suppose 4*y = -17 - 3. Let d = 1 + y. Suppose -5 + 0 = 5*f. What is the closest to f in -1, -0.4, d?
-1
Let c(i) = -71*i**3 + 5*i**2 - 6*i - 3. Let r be c(-5). Let t = -180043/20 + r. Let q = t + -97/4. What is the nearest to 1/2 in -0.1, -4, q?
q
Let j = -2.4 - -2.4. What is the nearest to 0 in j, 1, 1/2?
j
Let a = 17 + -15. What is the nearest to -0.1 in 1/2, a, -4?
1/2
Let b = 0.15 - 0.1. Let g = -0.05 + b. Let x = 0.6 + 1.4. What is the nearest to 2/5 in g, x, 1/6?
1/6
Let z = 46 + -48. Which is the nearest to z? (a) 0.3 (b) -7 (c) 2
a
Let o be (-15)/(-1490)*2/3. Let y = o - 305/1043. Let p = -6 - -10. Which is the closest to -1? (a) 1/5 (b) y (c) p
b
Let n be ((-1330)/45)/7 - 2/(-9). Which is the closest to -2? (a) 0.3 (b) n (c) -0.02
c
Let z = -3 - 4. Let l = 0.97 + 0.03. Which is the closest to l? (a) z (b) -5 (c) -4
c
Let x = -34 + 30. What is the nearest to 0.1 in x, 0.1, 0.4?
0.1
Let w = -0.6 + 0.7. Let n = 5 + -4. What is the closest to -2/9 in n, 4, w?
w
Let q be ((-4)/10)/((-56)/35). Which is the nearest to q? (a) -2 (b) -1/7 (c) -4
b
Let x = -19 + 20. Let j = -1.8 + 2. Let y = j - 0.1. Which is the closest to 0.1? (a) x (b) y (c) 0.3
b
Let n = 41/196 - -2/49. What is the closest to 1/2 in -2/5, 3, n?
n
Let m = -52 - -56. Which is the closest to 0? (a) m (b) -2/3 (c) 5
b
Let p(d) = -d**3 + 9*d**2 + 12*d + 2. Let i be p(11). Let t = 758/7 + i. Which is the closest to t? (a) -1/2 (b) 2/3 (c) 5
b
Let f = -0.4 + -0.1. Let x = -319/5 + 64. Which is the closest to 0.1? (a) 0.1 (b) f (c) x
a
Let a = 0.8 + -3.8. Let j = -1.042 - -0.042. What is the nearest to j in a, -2, 2/15?
-2
Let r = 0.7 + -0.5. What is the nearest to 1/4 in r, -1/7, -5?
r
Let q = -77 - -80. What is the nearest to 0 in q, 0.1, 2?
0.1
Let h = -25/92 + 12/23. Suppose 1 + 4 = -w. Let i be w/(-5) - (0 - 1). Which is the closest to 1? (a) h (b) 1 (c) i
b
Let d be (315/126)/(5/8). Let p = 2 - 2. Let h = 0.1 - p. What is the closest to 0.2 in h, d, 2?
h
Let r = 11 - 15. Let v = 17 - 14. Suppose 5*w - v*c = -5 - 11, 3*w = 4*c - 14. What is the closest to 0 in r, 0.3, w?
0.3
Suppose -5 + 0 = k. What is the nearest to 2/5 in 0.1, 5, k?
0.1
Let d = -1.08 + -0.32. Let t = -1.6 + d. Let j = -25 - -45/2. What is the closest to -0.1 in t, 3/8, j?
3/8
Let y = -4.4 + 4.2. What is the nearest to 0 in y, 0.5, 4?
y
Let x = -0.3 + 0.1. Which is the nearest to -0.05? (a) x (b) 2/5 (c) 5
a
Let q(w) = -w**3 - w - 7. Let u be q(0). Let k be 10/20*2/u. What is the nearest to -1 in 2/5, k, 3?
k
Let o = -2 + 12. Let j = o + -9.9. Which is the closest to 0? (a) 3/5 (b) j (c) 4
b
Suppose -3*f = f. Which is the nearest to 3? (a) -0.5 (b) f (c) 0.2
c
Let m = 138 - 1 | {
"pile_set_name": "DM Mathematics"
} |
035436
Convert 100011010022 (base 3) to base 6.
3510012
Convert 120332331311 (base 4) to base 14.
c26b1b
51321 (base 6) to base 5
204232
What is 3404501 (base 6) in base 7?
1314541
2310313011 (base 5) to base 7
61626031
Convert 331334 (base 11) to base 10.
528807
-1000001101110010 (base 2) to base 4
-20031302
Convert 25b4a (base 12) to base 15.
10504
156134 (base 11) to base 12
b8340
What is -71d56 (base 15) in base 14?
-95684
-35342256 (base 7) to base 3
-12212111110100
a1159 (base 12) to base 10
209301
What is b4d60 (base 14) in base 8?
1523730
Convert -230404 (base 7) to base 10.
-41017
Convert 61052 (base 11) to base 5.
10323414
What is -55201145 (base 7) in base 2?
-10010000101001110011111
Convert -45b98 (base 13) to base 10.
-127213
Convert -111330120 (base 4) to base 12.
-44020
What is -1224320 (base 6) in base 9?
-110213
What is -1244133 (base 6) in base 13?
-2512b
-224240212 (base 5) to base 15
-14dd8c
Convert 21513550 (base 7) to base 14.
363160
Convert 41c25 (base 13) to base 5.
12243000
Convert -7133a5 (base 11) to base 14.
-21bb49
Convert 1112442 (base 6) to base 16.
dc0a
-145fb (base 16) to base 5
-10132301
-1330303213 (base 5) to base 6
-200114023
-51a998 (base 13) to base 14
-3797d8
What is 12300554 (base 8) in base 7?
32056226
Convert -201 (base 4) to base 11.
-30
What is -30444004 (base 7) in base 2?
-1001101110010001100101
What is 10010001011100010101 (base 2) in base 6?
20434005
What is -21111115 (base 6) in base 5?
-124201423
-5bb67a (base 12) to base 10
-1492222
Convert 220323004 (base 5) to base 16.
e7918
Convert -4540590 (base 11) to base 3.
-112221221101212
What is -10220200100111 (base 3) in base 11?
-11a0894
Convert 16051514 (base 7) to base 6.
53015025
What is -249083 (base 10) in base 2?
-111100110011111011
Convert 320420041 (base 5) to base 11.
837206
-4696b (base 12) to base 6
-2010215
Convert -37a657 (base 16) to base 3.
-20212021211102
Convert 1207db (base 14) to base 10.
616221
What is 34dce4 (base 15) in base 16?
2690b6
What is -684132 (base 11) in base 14?
-204b98
What is -15297a (base 13) in base 11?
-325851
Convert 3d9301 (base 15) to base 5.
1224423201
What is -c4b6 (base 14) in base 11?
-234a3
Convert 250712 (base 9) to base 12.
737b5
What is 100012231221 (base 4) in base 15?
585d86
What is -b0a43a (base 14) in base 4?
-112223100110
Convert 1b3119 (base 13) to base 15.
da19b
111121000 (base 3) to base 9
14530
1111010110111100001110 (base 2) to base 11
22aa985
100011111111110111100100 (base 2) to base 14
1379020
1011000100010101110 (base 2) to base 16
588ae
What is 9e32b (base 15) in base 2?
1111010111100100111
Convert 242473 (base 15) to base 11.
a81036
What is -111452 (base 6) in base 5?
-300324
What is 100110011010000101100 (base 2) in base 4?
10303100230
What is -3592827 (base 11) in base 3?
-102202210202020
-1646573 (base 8) to base 4
-1310311323
What is 11404241 (base 6) in base 10?
358657
What is 311311302 (base 4) in base 10?
220530
What is 1101517 (base 9) in base 2?
10010000011100011000
-aa82 (base 13) to base 16
-5cd6
665078 (base 9) to base 8
1410100
11021020222 (base 3) to base 2
10100100000110111
Convert 431479 (base 16) to base 15.
5bc86d
-135552544 (base 6) to base 10
-2798704
120010221030 (base 4) to base 14
ba3a44
What is -211221111110000 (base 3) in base 10?
-12193578
Convert 104b7ac (base 14) to base 6.
433205100
What is -1527014 (base 8) in base 12?
-191410
Convert 3145243 (base 13) to base 6.
1253003314
-1231120300 (base 4) to base 9
-752541
What is -33552153 (base 9) in base 2?
-111110000100110111100011
What is 80b61 (base 13) in base 3?
102201002022
Convert 232683 (base 16) to base 8.
10623203
What is -46643 (base 7) in base 16?
-2ed3
Convert -267736 (base 9) to base 2.
-100111110101011111
-31205611 (base 7) to base 2
-1010000000100110100101
8c404 (base 13) to base 16
3e62c
What is 211102002022 (base 3) in base 6?
13242055
What is -323758 (base 10) in base 16?
-4f0ae
What is -85014 (base 13) in base 10?
-239490
Convert -101031 (base 6) to base 14.
-2cc3
Convert -101000001111010010000001 (base 2) to base 10.
-10548353
What is -1031443 (base 5) in base 2?
-100010101010100
What is -101100011100100100 (base 2) in base 9?
-306650
106313106 (base 7) to base 5
3132241401
What is 255887 (base 13) in base 16?
db32f
What is -2775227 (base 9) in base 8?
-5644340
-2222111120111 (base 3) to base 14
-2d3651
Convert -21313300011 (base 4) to base 16.
-277c05
200210101111 (base 3) to base 6
11532234
Convert -42315132 (base 6) to base 5.
-304120231
What is -11110011110001011110 (base 2) in base 5?
-223422434
What is -173a790 (base 14) in base 8?
-53504632
-50401023 (base 6) to base 5
-331243030
What is -25a145 (base 14) in base 5?
-312423200
Convert -1180394 (base 10) to base 13.
-324377
-1021213430 (base 5) to base 15
-2c1c2a
Convert 23033115 (base 6) to base 15.
ddab8
What is -1454514 (base 6) in base 16?
-14d2e
What is -224030 (base 5) in base 6?
-101035
What is -521134 (base 7) in base 4?
-111302212
Convert -107a82 (base 11) to base 8.
-517224
What is -c37980 (base 13) in base 5?
-2131330303
-637100 (base 10) to base 3
-1012100221022
What is 11055722 (base 8) in base 3?
11111001120221
What is 3692a3 (base 15) in base 14?
4c02c5
101512 (base 7) to base 5
1024104
What is -80d980 (base 14) in base 16?
-4239ac
339737 (base 10) to base 14
8bb4d
80eb5 (base 16) to base 11
330809
Convert 203322012 (base 4) to base 8.
437206
What is 988498 (base 12) in base 15?
32c012
-2c63a (base 13) to base 10
-84549
Convert 34210411 (base 5) to base 11.
198323
2555110 (base 6) to base 2
100010001000010010
Convert -ab7065 (base 13) to base 2.
-1111011010111101000011
2519a (base 11) to base 9
54545
2192c (base 14) to base 12
3b118
2bb5a (base 14) to base 16
1aac4
267b (base 12) to base 2
1000100111111
What is -14132341 (base 7) in base 11?
-820aa1
What is 223100213 (base 5) in base 3?
1212011200020
1490c (base 16) to base 6
1445552
551200 (base 8) to base 3
100101201101
-220121003 (base 4) to base 3
-22101221112
1369c0 (base 13) to base 2
1110011001100011011
24b8801 (base 13) to base 16
af0c12
What is 119465 (base 14) in base 13?
180c00
What is 22303121 (base 4) in base 7?
243002
What is 222a34a (base 12) in base 5?
3132410444
-23034 (base 10) to base 3
-1011121010
Convert -372c6f (base 16) to base 10.
-3615855
Convert -2a123 (base 11) to base 4.
-22123302
101200220101 (base 3) to base 14
56a78
256203 (base 8) to base 14
2472b
What is 6a78a (base 11) in base 10?
102101
What is 13102223032 (base 4) in base 15?
27b587
Convert f22e (base 16) to base 6.
1155010
-117497 (base 15) to base 14
-17a271
What is 17b41 (base 15) in base 2?
10010101111110010
Convert 1c2b (base 14) to base 15.
17c5
Convert 21112021111 (base 3) to base 8.
441335
What is -3729a78 (base 11) in base 14?
-c0b296
Convert 22120122110222 (base 3) to base 16.
45929c
Convert 10101001110001111010 (base 2) to base 12.
296536
-11010342 (base 6) to base 12
-1399b2
What is -10010111110010001 (base 2) in base 9?
-127537
What is -640fb (base 16) in base 8?
-1440373
What is 140433052 (base 6) in base 15?
3b0022
db36 (base 15) to base 9
70576
What is -193085 (base 12) in base 4?
-1223212211
What is -416704 (base 8) in base 14?
-38788
-256637 (base 9) to base 5
-14441142
2211111022022 (base 3) to base 7
15540350
76041 (base 9) to base 16
c4a2
-5313114 (base 7) to base 14
-12a044
What is 44077 (base 13) in base 16?
1e0fa
What is -35452342 (base 7) in base 14?
-5b9d22
What is -223223000 (base 4) in base 16?
-2bac0
-3203012213 (base 4) to base 7
-10622666
What is -387522 (base 9) in base 4?
-321122123
-1100100010100011010100 (base 2) to base 16
-3228d4
2057622 (base 11) to base 15
4b9749
What is -4124336 (base 7) in base 10?
-493751
What is 90e27 (base 15) in base 8?
1600074
What is 13103320 (base 4) in base 5?
1424234
What is -6824a9 (base 12) in base 15?
-22cb46
Convert -d862a (base 14) to base 9.
-875747
Convert -11321351 (base 8) to base 15.
-33ac5c
11011011110010111100 (base 2) to base 9
1621855
-10011101111001110 (base 2) to base 8
-235716
What is -69434 (base 12) in base 9?
-233754
Convert -21012020020 (base 3) to base 9.
-235206
-262370 (base 12) to base 16
-98d84
Convert -110102222211020 (base 3) to base 13.
-14a723c
Convert 11314575 (base 9) to base 10.
550 | {
"pile_set_name": "DM Mathematics"
} |
+ 4 = 4*f. Suppose 2*j = 4*j + 6. Let k be 45/(-15) - 1*j. Solve t*b + 0 - 20 = k for b.
5
Suppose 5*d - 19 = 2*c + 11, 2*d - 2*c - 12 = 0. Let h(j) = 2*j - 6. Let b be h(5). Solve d*o - 2*o = -b for o.
-1
Suppose 3*a - 4*v - 32 = 0, 2*a + 3*v + 0*v + 7 = 0. Solve 3*o = 4*o + a for o.
-4
Let t be (-1)/6 + (-1772)/24. Let f = 86 + t. Solve 0*x - f = 3*x for x.
-4
Suppose 0 = -4*d + 3*z + 37, -5*d + z + z = -41. Let f(a) = -2*a**3 + 14*a**2 + 10. Let k be f(d). Solve 2 - k = 2*h for h.
-4
Let q be -2 + (-3)/((-6)/8). Let v be ((-6)/q)/(-1) + 0. Solve -v*p - 1 = 2 for p.
-1
Let g = 302 - 293. Solve -g*r - 41 = -14 for r.
-3
Suppose x - 4*u = 8, 15 = 3*x - 3*u - 9. Suppose 0 = -5*v + 17 + x. Solve -a = -v*a + 20 for a.
5
Let y(s) = 5*s**2 - 77*s + 2. Let l(n) = 2*n**2 - 26*n + 1. Let v(j) = 11*l(j) - 4*y(j). Let r be v(-11). Let d = 4 + 0. Solve -r*b - 10 = -d for b.
-2
Let c = 67 + -63. Solve 0*u + c*u = 8 for u.
2
Let s = -206 - -210. Solve -9*j + s*j = 15 for j.
-3
Let n(j) = j**3 - 9*j**2 - 7*j - 8. Let u be n(10). Let t = u + -20. Solve 5*w = t*w for w.
0
Suppose -2*f + 2*g = 8, 4*f - f + 8 = -g. Let n be (f/(-21) + 1)*(-7)/(-2). Solve s + 3 = n*s for s.
1
Let t(z) = -2*z + 3*z - 2*z + 33 + 2. Let a be t(14). Suppose 0 = -2*o - 2*o - p + a, 0 = 5*o - 4*p - 42. Solve 4*n = -6 - o for n.
-3
Let g(v) be the third derivative of v**5/60 - v**4/6 - 3*v**3/2 + 22*v**2. Let n be g(-2). Solve 0 = -n*w - 2*w + 15 for w.
3
Suppose 3*w + 79*d - 74*d = 1, 0 = -3*d - 3. Suppose -4*l = -2*s - 2 + 30, -5*s = -4*l - 16. Let i be l/6*w/(-3). Solve 2*h = -5 - i for h.
-3
Let s = -264 - -264. Let c(t) = t**2 + 8*t - 7. Let h be c(-8). Let d be 2/(-7) - 37/h. Solve s*v - d = v for v.
-5
Let t(n) = -n - 1. Let l be t(-4). Let a(b) = b**l - 4 - 1 + 4 - 2*b. Let u be a(-1). Solve u*x + x = 5 for x.
5
Let q be (-1)/(3*3/243). Let n = q - -39. Let f be (-2)/n + (-628)/(-24). Solve 5*v - 6 = -f for v.
-4
Suppose -5*h = 5, 2*s = -h + 4*h + 7. Suppose -s*o = o - 6. Solve -o = 4*t - 14 for t.
3
Let b(v) = v**2 - 2*v - 2. Let t be b(3). Let r be (-1 + t)/(13 + -10). Solve r = -f + 4*f - 3 for f.
1
Let f(s) = -s + 8. Let q(k) = 2*k**2 - 14*k + 8. Let l be q(6). Let r be f(l). Solve 2 = 5*x + r for x.
-2
Let a(i) = 3*i - 8. Let g be a(6). Let b(w) = -2*w**3 - w**2 + w + 3. Let s be b(0). Suppose -s*k - g + 13 = 0. Solve 5*c + 4 = -k for c.
-1
Let d(o) = -2*o**3 + 52*o**2 + o - 20. Let l be d(26). Let v be 15/3 + (-6)/l. Solve 20 = -v*k + 4 for k.
-4
Let t = -31 - -34. Suppose 0 = t*z + 6 - 15. Solve -z*v + 1 = -11 for v.
4
Let o be (-4094)/(-69) + (-6)/(-9). Solve 5*d - o = -7*d for d.
5
Let j(a) = a**2 + a. Let g be j(-2). Suppose 7*s - 10 = g*s. Let p be 66/24 - 2/(-8). Solve -1 = -s*q + p for q.
2
Suppose -26*q - 16 = -22*q. Let s be (-10)/40 + (-9)/q. Solve -s*c - 12 = -6*c for c.
3
Let q = -287 + 291. Solve 4*a - 20 + q = 0 for a.
4
Let j(o) = o**3 - 2*o**2 - 2*o - 2. Let c = -12 - -15. Let k be j(c). Suppose 5*z - 2*z - h = 1, -k = -z + h. Solve z*d = d for d.
0
Let o = 17 - 20. Let y = 5 + o. Suppose 5 - 3 = y*h. Solve 3*s = -5 - h for s.
-2
Let w = 441 + -439. Let b(i) = -9 - 8*i + 3*i**2 - i**2 - 3*i**2 + 0*i**2. Let y be b(-6). Solve -y = r + w for r.
-5
Let z = -233 + 237. Solve 0 = -0*b + z*b - 4 for b.
1
Suppose -4*q + 3*w = -61, -2*q + q + 1 = 4*w. Solve q*o - 10*o = 3 for o.
1
Let g(h) = -9*h - 92. Let x be g(-12). Solve 0 = -5*z + x + 4 for z.
4
Let a(w) = w**3 + 8*w**2 - 11*w - 15. Let x(z) = z + 4. Let j be x(-13). Let r be a(j). Solve r*h = h for h.
0
Let w = 89 + -51. Let c = -33 + w. Let n be c*((-6)/(-3) + 1). Solve 3*i = -0*i + n for i.
5
Suppose -408*r + 7 = -407*r. Solve 0 = -3*b + 1 - r for b.
-2
Let r(w) = -9*w + 237. Let p be r(25). Solve -2 = -2*l - p for l.
-5
Let l(y) = 8*y**2 + 26 - 2*y - 13*y**2 + 4*y**2. Let o be l(-6). Solve -3*j = o*j + 10 for j.
-2
Let z = 2534 + -2426. Solve -5*q - z = 22*q for q.
-4
Suppose 2*r = 5*r + 15. Let h(y) = y**3 + 5*y**2 - 4*y - 12. Let z be h(r). Solve z = -0*x + 4*x for x.
2
Let n be ((0 + -4)/(-8))/(14/84). Solve n*q = 7*q for q.
0
Let c be -2 + 3 + -1 - -1. Let r be 3*((-2)/(-3))/c. Solve -4 = r*h - 2 for h.
-1
Let o(i) = -16 + 19 + 30 + 7 + i. Let u(k) = 13. Let p(t) = -4*o(t) + 11*u(t). Let x be p(-6). Solve x*g - 3*g = 0 for g.
0
Suppose -140 = 5*h - 19*h. Suppose 4 + h = 4*n + 2*z, 0 = n + 2*z - 8. Solve -n = a - 7 for a.
5
Suppose -6*i = 4*i - 30. Let x(o) = -o**2 - 22*o - 57. Let n be x(-19). Solve i*b - 15 = -n*b for b.
5
Suppose 0 = 3*j + 62 - 89. Solve 5*m - 11 = j for m.
4
Let y be 1*(2 + -1)/1 - -4. Let o be (22/(-4) + y)*-12. Solve 5*n + o = -4 for n.
-2
Let d = 50 - 36. Let n = -10 + d. Solve -v + 0 = -n for v.
4
Let m(s) = s**2 - 10*s + 11. Let p be m(9). Let z(v) = v**2 + 10*v + 13. Let d be z(-9). Suppose d*r + 20 = 4*c, 3*r + 17 = -2*c + p. Solve c*q = q + 3 for q.
-3
Let d(w) = -w**2 + 6*w - 3. Let a be d(6). Let j be (-3)/(a + 1 + 1). Let q be ((-2 + -4)/j)/(-2). Solve 0 = 3*v - q - 2 for v.
1
Let a = -1142 - -1148. Solve -a*f = 21 - 51 for f.
5
Suppose -4 = h - 6. Suppose h*c - c - 5 = 0. Solve c*m - 8*m + 9 = 0 for m.
3
Let t = 38 + -35. Suppose -t*d + 1 = -11. Let s = -5 - -7. Solve 0 = d*m - s + 6 for m.
-1
Let d(v) = 6*v**3 - 4*v**2 - v - 4. Let w(p) = p**3 + p**2 - 1. Let u(b) = d(b) - 5*w(b). Let y be u(9). Let g be 2*(-1 + (-12)/y). Solve -5*z - g = 19 for z.
-4
Suppose -2*i - 3*u + 391 = 0, 0 = 5*i - u + 615 - 1601. Solve 197 = 7*k + i for k.
0
Let z(r) = 24*r**3 + r - 1. Let g be z(1). Suppose -a + g = 3*a. Let y = a + -6. Solve y = -0*t - 2*t - 10 for t.
-5
Let v(f) = -f**3 - 27*f**2 + 34*f + 173. Let k be v(-28). Let m be ((-9)/(-12))/((-2)/(-8)). Solve 0 = -m*z + k - 2 for z.
1
Let f(n) be the second derivative of -n**3/6 - n**2/2 + 14*n. Let s be f(-6). Solve 0 = -6*g + s*g - 2 for g.
-2
Suppose 0 = -2*a - 3*a + 95. Let f = a - 17. Solve -2*h - f*h = 4 for h.
-1
Suppose -2*g + 36 = 2*g. Let m(c) = 2*c**2 + 3*c - 5. Let x be m(-5). Suppose x = 2*b - 5*s, 3*s - 9 - 4 = -5*b. Solve b*i + g = -6 for i.
-3
Let v be (-8)/(-2 - (-2 - -2)). Let l be 0/((-7)/(-7 + 14)). Solve l = v*g - g - 3 for g.
1
Let k = -116 + 123. Solve 6*x = 25 - k for x.
3
Let a = 396 - 361. Let s be (-4)/(-1)*30/8. Let l = a - s. Solve -l = 5*f - f for f.
-5
Let q(v) = -v**2 - 9*v - 7. Let l be q(-10). Let s = l - -22. Solve 0 = -s*u + 3*u + 10 for u.
5
Suppose 19 = g + 5. Let s(w) = -w**2 + 13*w + 17. Let m be s(g). Solve m*f + 13 = 1 for f.
-4
Suppose -2*m + 0*m - 18 = -4*h, 4*m + 24 = 5*h. Suppose h*l = -6*z + z + 35, -2*l = -2*z - 40. Solve -w - l = -6*w for w.
3
Suppose -5*q = -4*l - 278, 5*l - 2*q + 356 = -0*q. Let p = -58 - l. Solve -1 = 3*k + p for k.
-5
Suppose 3*s = -4*m + 6, -2 = -3*s + 5*m + 4. Suppose 0 = -3*f + 39 - 36. Solve -3*c + f = -s*c for c.
1
Let j = 36 - 34. Let v be j + -2 + (-4)/(-2). Solve v*k = 5*k - 12 for k.
4
Let o(a) = -7*a - 130. Let h be o(-19). Solve 0 = -h*q + q for q.
0
Suppose 5 = -o + 1, 2*o = -3*n - 2. Suppose 0 = 2*x + n*x - 8, x = 4*f - 6. Solve -18 = -4*g - f for g.
4
Let a(k) = k**3 + 9*k**2 + 19*k + 9. Let z be a(-6). Suppose 0 = z*w + 4*w - 28. Solve w*i = 5 - 1 for i.
1
Suppose 0 = 6*r - 8*r - 12. Let k be ((-9)/3)/(r/8). Solve -s = s + k for s.
-2
Suppose 13*i + 26 = 17*i + 5*z, 2*z + 4 = 2*i. Solve -19*r + 15*r - i = 0 for r.
-1
Suppose -6762 = -39*z + 18*z. Solve -i = 318 - z for i.
4
Let m be 35/15*(-32 - 4). Let b = m + 86. Solve -b*d - 12 = -5*d for d.
4
Suppose 4*c = -z - z + 26, 3*z = 4*c - 51. Solve c = 6*g + 3 for g.
1
Let b(g) = -10*g - 153. Let o be b(-17). Solve -4*j + 1 - o = 0 for j.
-4
Let h(f) = -f**2 + 5*f. Let o be h(3). Suppose -r - 3 = -5*v, 0 = v - 5*r + 3 + o. Solve -l + 0*l = v for l.
-1
Suppose -7*p = -3*p + 4. Let d be (-4)/((-10)/6 - p). Solve 2*u + d = -0*u for u.
-3
Let d be (-6 - -5)*24/(-2). Suppose d*q + 3 = 13*q. Suppose 4*j - 7*u + q*u - 8 = 0, -4*j + 3*u + 6 = 0. Solve j*x + 2*x + 6 = 0 for x.
-3
Let s(l) = l**3 + 3*l**2 - 1. Let c be s(-1). Suppose 0 = 2*j + 2*x - 10, -3*j + 0*j - x = -7. Solve c = -v - j for v.
-2
Let b = 8 + 7. Suppose -36*k + 39*k = b. Solve -8*h + 9 = -k*h for h.
3
Suppose -2*i = -4*x - 22, -5*i = -4*x - 25 - 6. Let d(z) = -z**3 - 3*z**2 + 4*z. Let o be d(x). Solve 0*a - a = o for a.
0
Let f(k) = -k* | {
"pile_set_name": "DM Mathematics"
} |
than 144021277?
144020225.256
2 - 8.2676306066
-6.2676306066
What is 4 less than -0.261002070240684?
-4.261002070240684
What is 5.18517 take away -44.10731?
49.29248
What is -1911647 take away -348395?
-1563252
Work out -3636.5 + 1.32035127.
-3635.17964873
Add together 129118007 and 10.4806.
129118017.4806
What is -707723 plus -0.1059237?
-707723.1059237
Total of -128332.8 and -7.01153.
-128339.81153
What is -690 take away -166438069?
166437379
Put together 0.067 and 157210443120.
157210443120.067
What is -84463697 less than 280?
84463977
-525628855392+0.082
-525628855391.918
What is -3.40659 take away 7127.7?
-7131.10659
Add together 0.009244589286 and 0.1.
0.109244589286
What is -56716.84440972 plus 0.1?
-56716.74440972
-17.51 + 0.000923440935
-17.509076559065
What is 69502 take away 1333353?
-1263851
What is 0.7 plus -86955540039013?
-86955540039012.3
-159646399 - 0.0636
-159646399.0636
What is 6 + 13860313606?
13860313612
What is -1198142.27 plus 15582?
-1182560.27
Add together -180 and -1691.591654.
-1871.591654
28430208854.961 - 3
28430208851.961
Put together -6831855 and 185676.
-6646179
What is -80266.17047 minus 1708?
-81974.17047
What is 252090905481 plus 1?
252090905482
What is 2711174770.55 + -0.1?
2711174770.45
Add together 21213.7 and -201120890.
-201099676.3
22 - 557847945286
-557847945264
Add 7090244.0219968 and -4.
7090240.0219968
Add together 66960716.54739 and 6.
66960722.54739
Work out -77587166.19323 + -3.
-77587169.19323
Total of 2573.7755 and -106.8603.
2466.9152
0.19179719+9473
9473.19179719
Sum -5745257771862 and 18.
-5745257771844
Work out 0.02 - 536.58060826061.
-536.56060826061
What is 107634606175212 take away -2?
107634606175214
Calculate -0.01 - 13544063.1409.
-13544063.1509
What is 15.95647 less than 10764255?
10764239.04353
What is -135240 take away -96119155?
95983915
Total of 167610555 and 43.8.
167610598.8
Work out -88911 - 484999083.
-485087994
Calculate 1 + -2452.5344288393.
-2451.5344288393
What is -1515942262.26 minus -0.01?
-1515942262.25
-16369689839 + 1.2
-16369689837.8
What is the difference between 4.445 and 103741826783?
103741826778.555
What is 230640 minus 482.706231?
230157.293769
7.5 - 5767253309207
-5767253309199.5
Work out 848368 + -20357255.
-19508887
Add together 1095856553 and 10.76.
1095856563.76
What is the distance between -12.56009 and 2474?
2486.56009
What is 79354318.61 less than 2.8?
-79354315.81
Sum 151 and 3.41214368.
154.41214368
What is 0.4415946166 + 5166?
5166.4415946166
What is 182563244504 take away -0.85?
182563244504.85
Add together -102038948613 and -1457.
-102038950070
-0.132102+1458499
1458498.867898
43678.9+1.216742
43680.116742
What is -444422174.05 minus -0.27?
-444422173.78
What is -2143 + 2.9773512696?
-2140.0226487304
1.6112 + 9.6602447
11.2714447
What is the difference between -509 and 0.0389002909?
509.0389002909
What is 110.5 + -54.906935?
55.593065
Calculate -0.30240759658 + 0.24.
-0.06240759658
What is -3608559.3007 minus -1.122?
-3608558.1787
Subtract -315595238.64 from -2.473.
315595236.167
Calculate 3.416 + -63555635.
-63555631.584
Add 45387.4 and 429234.
474621.4
Calculate -6954381794 - 60.
-6954381854
Subtract -1.69 from -203692388.
-203692386.31
-9343 + 318837469
318828126
Work out 1232.512 + -384854.
-383621.488
What is 165 minus -87762697?
87762862
Put together 0.0317603009 and 74308.
74308.0317603009
What is the distance between 0.0418 and 299838964902?
299838964901.9582
Put together -1136 and 119087092.
119085956
What is the distance between 140815380.13862 and -9?
140815389.13862
17.4377 + 4618.2843
4635.722
What is the difference between 0.01 and 0.155322275161?
0.145322275161
Subtract -4674577 from -24467634.
-19793057
Work out -38.3074618 - -492165.
492126.6925382
What is the difference between 450561964 and 0.90857?
450561963.09143
Calculate -435872 - 841.3.
-436713.3
-309865406562 + 0.04
-309865406561.96
-463873593.84 - -10
-463873583.84
Subtract -19753.37 from -0.0061295.
19753.3638705
What is 29019041977.2 minus 0.5?
29019041976.7
Total of -125404496595 and -4.
-125404496599
-2247 - -327511519
327509272
What is 69990 less than 13699.1?
-56290.9
Add 4.5747 and 2632016.
2632020.5747
What is -2072247419.85 minus -3?
-2072247416.85
What is 166.032 plus -0.232293?
165.799707
Work out -78.4112969886 - 2.
-80.4112969886
What is the difference between 28672.226857 and 1337?
27335.226857
Calculate 335 + -74896690836.
-74896690501
Calculate 7580954 + 37151922.
44732876
What is 16290967 less than 40.9454?
-16290926.0546
Total of -57.3976105621 and 199.
141.6023894379
Add together 48427 and -0.7223812.
48426.2776188
What is 0.06608 less than 3903336843?
3903336842.93392
Calculate 719914989 + 41.37.
719915030.37
Sum 78271021323 and 0.428.
78271021323.428
What is -121.865989534 less than -1.175?
120.690989534
What is -170649910731 plus 3633?
-170649907098
-79881.5431 - 10.85
-79892.3931
Subtract -2048 from -92286187.
-92284139
What is 0.0781359640639 plus 0.02?
0.0981359640639
What is 388634936 minus -33992?
388668928
Subtract 118 from 35462353943.
35462353825
What is 13.2987 minus -1482995?
1483008.2987
-150 - 544913675187
-544913675337
What is -5163 minus -705.727441?
-4457.272559
What is 0.5 plus 84569301954.17?
84569301954.67
9722 - 1335496993
-1335487271
What is -1.96 less than -461217708298?
-461217708296.04
-2919105846+-0.587
-2919105846.587
Calculate 89.134 - -1651.55861.
1740.69261
What is 1219.52195 plus 0.043643?
1219.565593
-0.067189985095 + 1
0.932810014905
What is the difference between -607437856705 and 4?
607437856709
What is 1 take away 13.1233185748139?
-12.1233185748139
Work out -2496404071990 - 1.3.
-2496404071991.3
What is the difference between 1.3 and 170476.334813?
170475.034813
What is -31089821019253 take away -0.9?
-31089821019252.1
Add -9343605300 and 0.00281.
-9343605299.99719
2.4 - 9402889.421842
-9402887.021842
What is the distance between -0.2189 and -82084211940?
82084211939.7811
Subtract 11415.47917 from -0.1.
-11415.57917
Put together 0.108 and 1.566708393389.
1.674708393389
Total of -5064.69908137 and -186.
-5250.69908137
What is -1.4182 + 328304529?
328304527.5818
Work out 8750715 + 174.7.
8750889.7
Subtract -93700805993 from -0.663.
93700805992.337
Sum 12294.7 and 1.590429.
12296.290429
-218732.777 - -506
-218226.777
What is 803362677 + -5361?
803357316
Total of -11716199.63202 and -16.9.
-11716216.53202
Total of -19.38192 and -1467361.
-1467380.38192
Subtract -212 from -44273.581791.
-44061.581791
Put together 77270 and 0.02735613.
77270.02735613
What is -158720.657 - -211005?
52284.343
-7.3221 + -18691068
-18691075.3221
Put together 132.5275768 and -326.1.
-193.5724232
What is the difference between -9166422680 and 0.08?
9166422680.08
Work out -974082.9775 + -2393.
-976475.9775
What is -235451 minus 5.111567?
-235456.111567
What is the distance between 113 and -1005453466?
1005453579
Calculate -1724680441 - -14563.
-1724665878
Subtract -13977 from 29083.3032.
43060.3032
Add together 1348910 and -0.021728.
1348909.978272
Add -33.266 and 10734.66.
10701.394
1765 + 53185454
53187219
What is -0.3047311 + 429849?
429848.6952689
-53.4594692 - 75.97
-129.4294692
What is 518 - 128390336?
-128389818
452027083116962+1
452027083116963
-2506.79 - 775276529
-775279035.79
Add together 2903823987383 and -333.
2903823987050
Work out -9233776085 + -1713.
-9233777798
Work out -3 - 41421995671.
-41421995674
4+7979098973.689
7979098977.689
Subtract -9839.243 from -220.413.
9618.83
Calculate -2458808 - 5778350.
-8237158
553397327460 - 0.1283
553397327459.8717
Calculate -9 - 34553759459198.
-34553759459207
Work out -0.3710260682 - -0.006.
-0.3650260682
Work out -84 + 600.6013159872.
516.6013159872
What is -81 minus 534.19135592?
-615.19135592
Work out -23987760 + -7050.
-23994810
Put together 0.46 and 140371228.85.
140371229.31
Subtract -2.1754009466 from -0.36.
1.8154009466
What is the difference between 46302792.6 and 1936?
46300856.6
Sum -6952859 and 0.3685.
-6952858.6315
Total of -350.20348 and 2115239.
2114888.79652
Calculate 0.2 - 137728661969.
-137728661968.8
What is -2048329086 minus -106?
-2048328980
What is 30.32 minus 27666470766?
-27666470735.68
Calculate 49.2507389 - -9.9.
59.1507389
What is -65.697 - 0.07128208?
-65.76 | {
"pile_set_name": "DM Mathematics"
} |
1 = -8828 for i.
-4
Solve 4*g + 70 = 18*l, 4452*l + 4*g = 4447*l + 45 for l.
5
Solve -36*z = 19*z - 3*x + 222, 3*x + 39 - 81 = -5*z for z.
-3
Solve -3*b = -3*q - 168, 2*b - 55 = -89*q - 85*q + 175*q for q.
-57
Solve -g = -2*s - 29176 + 29202, -2*g + 5*s + 18 = 6*s for g.
2
Solve 0 = -59*d + 61*d - 2 - 2, 3*h + d - 102 = 26 for h.
42
Solve 4*y = 3*w - 3 - 3 + 1, 23*w - 26 = 43 for y.
1
Solve 4*d + 8318 - 8508 = -6*t, -2*d = -44*t + 1362 for t.
31
Solve i + 15754*d - 15753*d - 1 = -0*i, 4*d + 14 = 2*i for i.
3
Solve 5*l - 5 = 2*p + 1, 30*p - 51*p + 22*p = -140*l + 567 for p.
7
Solve 0 = -5*b - 15, -128 = 9*j - 4*j + 2*b - 132 for j.
2
Solve 5*i = 4*s + 61, 1043*s - 4*i = 1039*s - 56 for s.
-9
Solve 3*d - 46 = -4*j, 6813399*d - 3*j = 6813397*d + 25 for d.
14
Solve 0 = k + 31*t + 76, -k + t + 14 = -2*t - 36 - 10 for k.
48
Solve h + 5 = 2*v, -8 = -3*h + h + 68*v - 69*v - 3 for h.
1
Solve 0 = -2*x + 5*o + 18, 0 = x + 3478*o - 3474*o - 35 for x.
19
Solve -30*a - 4*p = -64*a - 298, -2*a = -a - 4*p + 133 for a.
-5
Solve -4*c + j + 3 = 2*j, -7*c + 18*j - 5*j - 11*j = -69 for c.
5
Solve 1 = -q + 2, 352*g = 356*g + 4*q for g.
-1
Solve h + q = 27, h + 322*q + 332*q - 651*q - 47 - 40 = 0 for h.
-3
Solve -4*j + 67 = 3*i, -10*j + 110 = -7*i + 10*i - 35 for i.
5
Solve -99545*s - 5*m = -99544*s + 49, 9*s = 5*m - 191 for s.
-24
Solve 5*l - 59 = 4*h + 75, -1072 = 30*h - 4*l - 0*l for h.
-36
Solve -26 = -4*o - 2*l, 0*l + 41 = 14*o + 3*l - 62 for o.
8
Solve -100*p + 549*p + 26142 - 15027 = -s - 19862, -5*p + 5*s = 365 for p.
-69
Solve -13*q + b = -22*q + 41, 4*q - 10*b = 60 for q.
5
Solve 2562*n + 67 = -v - 2563*n + 5128*n, -n + 19 = 3*v for v.
-1
Solve 0 = -9*b + 14*b - 3*w - 7, -50*w = 5*b + 201 - 261 for b.
2
Solve 0 = -5*m - 20, -19868*d + 19865*d + 40 = -4*m for d.
8
Solve 0 - 10 = -5*y + 2*u + 29, 81*y - 571 = 2*u for y.
7
Solve -6*s - s - 4*o = -s - 4, 4*o = -2*s - 12 for s.
4
Solve 3*c + 0*c = -4*n - 38, -1500*n - 6733*c - 11998 = -6734*c for n.
-8
Solve 5*n - 2*p = 10, 5306 - 5281 = -43*n - 5*p for n.
0
Solve 11*u + 25 - 67 = 3*w, -140*w + 138*w = -5*u + 21 for w.
-3
Solve 2*o - 5*h = -2, -3*o + 35 = -60833*h + 60835*h for o.
9
Solve 13*o - 24372*r + 12186*r + 12181*r = 423, 0 = -r + 2*r + 82 for o.
1
Solve -a + 5*i - 33 = 0, a - i - 442 + 455 = 0 for a.
-8
Solve 2*z + 33*f - 49*f = -13*f - 14, 5*z - 2*f = 9 for z.
5
Solve 2*y - 1 = -67*q + 68*q, -6*q + 6*y - 8 - 4 = 0 for q.
-3
Solve w = -376*i + 371*i - 51, -3539 = -3*i + 77*w for i.
-1
Solve k = 6*k - 10*a, 11*k + 45 = 2*a - 2 + 7 for k.
-4
Solve 0 = 6*m + 4*g + 379 - 613, -m + 25 - 95 = -3*g + 122 for m.
-3
Solve 37 + 2 = -2*h - 2*o + 5, 0 = 2*h + 77*o + 1084 for h.
-3
Solve t + 6*t - 18*t - 5*i + 40 = 7*t, -23*i = 2*t - 184 for t.
0
Solve -4792*d - 4792*d - 4796*d + 2*z + 6 = -14384*d, -5*d = 14*z + 88 for d.
2
Solve 10*s - 2*t - 750 = -4*s, 20*s + 5*t = 18*s + 7*t + 114 for s.
53
Solve 120*s + 33 = -g + 110*s, -9 = 2*g + s for g.
-3
Solve -20*v + 2*j + 31 = -25*v, -v = 5*j + 20 for v.
-5
Solve 4*s + 54*r = 262, -3*r = -s - 8901 + 8884 for s.
-2
Solve 972*j - 4*p = 975*j - 194, -5*j + 2*p + 280 = 0 for j.
58
Solve 5*s = 15*y + 120, 3*s + 297 = -5559*y + 5527*y for s.
-3
Solve 123 = 2*b - 58*v + 73*v, -b - 34*v + 5 = -35*v - 14 for b.
24
Solve -45*q - 3*x = 174, 393*q + 3*x + 27 = 780*q - 383*q for q.
-3
Solve 7827*y - 7824*y + 105 = -4*h, 118 = -4*y + 2*h for y.
-31
Solve -68*t + 247*t + 5*w = -890, t = -5*w for t.
-5
Solve 2*t - 5*l - 61 = 0, 37031*l - 37035*l + 164 = 6*t for t.
28
Solve -5*v = 5*s - 30, -v - 10594*s - 7 + 97 = -10581*s for v.
-1
Solve -134141*a + 1232 = -134141*a + 2*m - 46*m, a - 137 = 5*m for a.
-3
Solve -5674224*h = -5674221*h + 2*b - 11, 3*h = 5*b - 17 for h.
1
Solve 0 = -2*v + 5*s - 142, 79*v - 5*s = 75*v - 134 for v.
4
Solve -3*w + 24 = 0, 503745*v - 503751*v - w = -32 for v.
4
Solve -2*f = -92*r + 179*r - 88*r + 10, 5*f - 3*r + 26 = 0 for f.
-4
Solve -2*y + 97 = -2*d + y - 4*y, -82*d + 71 = -83*d - 5*y for d.
-46
Solve t + 14 = r, 17123*r - 2*t - 10 = 17122*r for r.
18
Solve u + 39*d - 38*d = 2*u + 9, -10*u - 2*d = -30 for u.
1
Solve 29 = 4*j + 5*x - 10*x, -132*x - 26 = 11*j - 134*x for j.
-4
Solve 5*c + 2*y - 19901 = -19914, 0 = c - 6*y - 23 for c.
-1
Solve -177 + 493 = -26*w + 5*t - 412, 28 = -w - 2*t for w.
-28
Solve 7*g - 2*g = -2*b + 3*b + 4*b + 15, -5*g + 15 = 4*b for g.
3
Solve 14 = -7*p, -6196 + 5950 = 22*m + 2*p for m.
-11
Solve 4*a - 973*c = -490*c - 484*c + 16, -3*a - 3*c + 3 = 0 for a.
5
Solve 59*k - g = 42*k + 20*k + 11, 6*k = 4*g + 26 for k.
-1
Solve 0 = 3*p + 35*y - 228, 16*p - 13*p + 22 = 6*y + 4 for p.
6
Solve 0 = 3*a + r - 6, -5*a + 3*r = 71056 - 71066 for a.
2
Solve -5*b + 3*w - 6308 + 6334 = 0, -8 = 5*b - w for b.
-5
Solve 3*j - 162 = -9*k, -k + 9792*j - 190 = 9787*j for k.
5
Solve -50*t + 130 = -3*l - 48*t, t = -44*l + 45*l - 4*t + 52 for l.
-42
Solve 5*i - 275 = 10102*y - 10097*y, 5*i + 30*y - 205 = 0 for i.
53
Solve -27 + 70 = -21*c + 5*q, 0 = -37*c - q - 115 for c.
-3
Solve 22*z - 5 = 3*m + 83, 2*m + 0*z - 4 = -m - z for m.
0
Solve -322*v = -337*v + 4*p - 175, v = 7*p - 180 for v.
-5
Solve 4*u + 43 = -g, 738*g - 372*g + 3*u - 100 = 371*g for g.
-23
Solve c + 44 - 41 = 6*g - 192, 6 = 2*c for g.
33
Solve -5*m = -112*l - 6587 - 1905, -l - 4*l + 5*l - 3*m - 12 = 0 for l.
-76
Solve n + 6*l + 180 = 10*l, -12*n - l + 24 = -7*n for n.
-4
Solve -5*d - 6342*q + 6331*q = 9, 2*d + 13 = 5*q for d.
-4
Solve -3*j - 1073 + 1048 = x, 0 = 6*x + 4*j + 206 for x.
-37
Solve -12*s - 31131 = 3*z - 30990, 2*s - 4*z = -46 for s.
-13
Solve -16 = 5*q + 4*x, -q - 9*x + 2869 = 2946 for q.
4
Solve 4*z - 96 = 8*g, 5*g + 11*g + 2*z = 14*g - 18 for g.
-11
Solve 4*n - 68081*z + 55 = -n - 68080*z, -n - 5*z = -15 for n.
-10
Solve -y + d = -3*d + 12, d + 10 = -8*y + 5*y for y.
-4
Solve -2*y + 5*p = -92, -p - 1000052 = 12*y - 1000666 for y.
51
Solve 5*y + 30 = 5*y + 15*m, -y - 2*m = -4*m - 5 + 7 for y.
2
Solve -3*w = -2*i + 17, 5*w - 4137 = -4*i - 4180 for w.
-7
Solve -2*d = 4*t - 21977 + 21987, 4*t - 16*d - 80 = 0 for t.
0
Solve 41599*i - 41598*i + 5*l = -8, -24*i = 3*l - 159 for i.
7
Solve -4*h + 116 = 133*j - 113*j, h - 5 = 3*j for j.
3
Solve 81*i - 65 = -2*h + 79*i - 61, 5*i - 18 = -3*h for h.
-4
Solve 156 = -38*v - 2*p + 16, 0 = -5*v + 16*p - 18*p - 8 for v.
-4
Solve -2*q + 4*v = -5*q - q - 8, -72474*q + 72471*q - 14 = -v for q.
-4
Solve 21*l - 23*l + 2*m - 6 = 5*m, 6*l + 182 = 3*m + 164 for l.
-3
Solve -141*b + k - 30 = -282*b + 140*b, -42 = -2*b + 4*k for b.
27
Solve -10*o + 2*o + 11*o = 6*o - 17*k - 195, 0 = 3*o + k + 21 for o.
-3
Solve -4*r + 3*l - 138 + 117 = -0*r, 31*r - 47*r + l = -8 + 15 for r.
0
Solve -12*x - 9530*y + 4767*y + 6 = -4764*y, -y = 7*x + 6 for x.
0
Solve 6*d + 4321*h = 4319*h + 262, -3*d + 2*h = -134 for d.
44
Solve -15*a + 11*a - 6 = -18*r, -383*a - 6 = 3*r - 386*a for r.
1
Solve 5*c = 7*g - 71, -42*c = 127*g - 68*g - 61*g - 134 + 560 for g.
3
Solve -2*u - 872 = -31*k, 0 = -7*u - 148*k + 152*k - 126 for u.
-2
Solve -5*x = -t + 99, 0 = 4*x + 13015*t - 13010*t + 85 for x.
-20
Solve -7*p - 3*r = -11 - 3 - 11, -5*p + 4*r - 19 = 0 for p.
1
Solve 3*x - 53 = -5*k, -18*x + 8*k + 5*k = 8*k - 178 for x.
11
Solve 6*q - 67*r = 4*q - 12*r + 597, -7*q - 39 = r for q.
-4
Solve -4*t = -56, -13940*g + 13936*g - 34 = -3*t for g.
2
Solve -3*q + 25 = -37*i, 5*i + 182 = -q + 173 for i.
-1
Solve -1077*y + 1074*y = -2*k - 37, 61*y - 59*y - 16 = -3*k for k.
-2
Solve 0 = -w - c - 211 + 185, 2*w - 7*c - 227 = 0 for w.
5
Solve -4*l + 7*g - 3*g = 56, 7*l + 5*g = -12*l - 266 for l.
-14
Solve -132*t - 992 = 185*q - 189*q - 188, -t + q - 33 = 4*t for t.
-6
Solve -25*k + 19*k = -2*a - 1 - 15, 4*a = 5*k - 25 for k.
1
Solve 112*n = 115*n - o - 5 - 21, n = 160*o - 630 for n.
10
Solve 5*g - 69 = 4*l, -90*g + 294*g - 90*g - 66 = l + 103*g for l.
-11
Solve 2*u + n + 2492 = 2438, -u - 3*u + 0*u + 5*n + 256 = 0 for u.
-1
Solve 76*s - 80*s + w = 0, 10*s = -17*w + 14*w - 110 for s.
-5
Solve -22*t - 33 = 12*l + 23*t - 48*t, -5*t = -2*l - 55 for l.
0
Solve 164*n - 29 = -3*v + 160*n + 10, 5*v - 33 = 4*n for v.
9
Solve -68397*b + 68402*b - 4*u = -28, -5*u = -10 for b.
-4
Solve 4*x + 3*y + 101 = 0, 31*x - 30*x + 426 = 11*y + 812 for x.
1
Solve 3*p - 3*b + 42 = 0, 1672*p - 1667*p + 25 = -4*b for p.
-9
So | {
"pile_set_name": "DM Mathematics"
} |
= 447*p for u.
-2
Solve 5*r = -2*x + 12, 27*x - 30*x - 16 = -r for r.
4
Solve -2*f = -5*y - 0*f - 8, 3*y + f = 4 for y.
0
Solve -57*c + 4*s = -61*c + 4, -3*c = 4*s - 6 for c.
-2
Solve -5*y + u = -3, 5*y + u - 15 = 6*u for y.
0
Solve 0*h + h + 3*v - 11 = 0, -3*h - v = -17 for h.
5
Solve -5*y + 38 = -3*w + 8, -w + 1 = 2*y for w.
-5
Solve 32 = -9*s + 14*s - 4*r, 5*s - 3*r - 29 = 0 for s.
4
Solve 3*c = 3*u + 2*c + 4, 0 = u - c for u.
-2
Solve 3*m + 2*n = -116 + 112, 24 = -5*m + n for m.
-4
Solve 3*b - 10 = b - 2*s, 5 = b + 2*s for b.
5
Solve -2*b - 7 = -3*l, 0*l + l - 24 = 5*b for b.
-5
Solve 0 = -n + 4*j + 9, -3*n + 2*j - 3 = -0 for n.
-3
Solve -v + r = 5, -16 = 5*v - 2*r - 3 for v.
-1
Solve -74*r = 3*l - 71*r + 6, -6 = -2*r for l.
-5
Solve -a - 3*g + 14 = 10, a = -5*g + 8 for a.
-2
Solve 4*j + 3*g - 5*g + 28 = 0, 5*j = -2*g - 17 for j.
-5
Solve -v - 2*m - 1 = 0, 24*v - 3*m - 29 = 20*v for v.
5
Solve -4*s - 2*r + 0*r - 10 = 0, -4*s - 7 = -r for s.
-2
Solve -2*p = -2*q + 4, p + 2*q - 2 - 2 = 0 for p.
0
Solve 4*i = -3*h + 15 + 14, -4*h - 13 = -5*i for h.
3
Solve 69*w + 3 = 68*w + a, 2*a = -3*w - 9 for w.
-3
Solve 2*a - 2*x + 4 = 0, -9*x - 10 = -14*x for a.
0
Solve 4*b = 10*y - 15*y + 11, -2*b = 2 for y.
3
Solve -x + 6 = 29*t - 34*t, -2*t = -5*x + 30 for t.
0
Solve 0 = 2*n + 2*d - 14, 3 = 4*n - d - 15 for n.
5
Solve -2*s - 2*u + 6 = 0, 67*s + 2*u + 3 = 68*s for s.
3
Solve 5*i - 15 = 0, 2*f + 2 = -0*i + 2*i for f.
2
Solve 4*u - 3*f - 6 = -14, -2*u - 4 = -5*f for u.
-2
Solve -h = -3*l + 9, 8 + 8 = 4*l for h.
3
Solve 0 = 2*y + 2 - 6, -2*y + 12 = -2*a for a.
-4
Solve 0 = 3*u + 2*j + 7, -u + 2 = -j - 4 for u.
1
Solve -5*f + 14 = -n, -8 = -6*f + 8*f + 3*n for f.
2
Solve 4*o - 5 = -5*x, 15*o = -3*x + 18*o - 24 for x.
-3
Solve 16*s - 11 = 19*s - 5*u, -4*u + 12 = -4*s for s.
-2
Solve -l - 98 + 102 = c, 0 = 5*c - 5*l + 10 for c.
1
Solve 5*u - 7 = -3*b, 3*u - 71 + 38 = 3*b for u.
5
Solve -4*x - 8 = 0, 4*k - 4*x = 5 + 11 for k.
2
Solve -h + 18 = -4*g, 1 = -5*g - 24 for h.
-2
Solve y + 25 = -4*m, 5*y + 0*y + 10 = 3*m for y.
-5
Solve 0 = 3*r - 4*s - 9, 5*r - 10 = -2*s - 21 for r.
-1
Solve -5*y + u = 11, 1 = -y - u - 0 for y.
-2
Solve 0*x = -5*x - 4*a - 22, -4*a - 8 = -2*x for x.
-2
Solve 3*r - 10 = 5*m - 0, -3*m - 5*r = 6 for m.
-2
Solve 2*h = 5*h - 3*d + 15, -5*d + 34 = 4*h for h.
1
Solve 5*n = -p - 17, 2*n + 6 = -0 for p.
-2
Solve 0*x + x + 3*f - 10 = 0, 4 = 2*x + 2*f for x.
-2
Solve 3*v = v + 2, 4*y - v + 9 = 0 for y.
-2
Solve 2*j = -8, 0 = -0*u - 3*u + 2*j - 4 for u.
-4
Solve -4*q = -4*o, -56*q + 59*q = 2*o + 4 for o.
4
Solve 5*q = 25, 5*a + 14*q = 16*q + 15 for a.
5
Solve -39*n - 4 = 2*h - 37*n, 0 = -3*n + 3 for h.
-3
Solve -q + 6*c + 17 = c, 4 = -c for q.
-3
Solve 5*s - 1 = 4*c + 19, -2*c + 20 = 5*s for c.
0
Solve -p - 29 = 5*g, -19 = -4*p + 3*p + 3*g for p.
1
Solve -8 = -5*b + 2*b + k, 5*k + 21 = -4*b for b.
1
Solve 0 = 3*i - t - 0*t - 14, i + 3*t = -2 for i.
4
Solve -8 = -5*b - 2*d, 2*b = 4*d + 19 - 11 for b.
2
Solve -2*n + r = -r + 10, -13 = 5*n - 2*r for n.
-1
Solve -4*k + 0 - 23 = -3*x, -11 = 3*k - x for k.
-2
Solve -4*m - 16 = -4*t, -m = 3*t - 7 - 5 for m.
0
Solve -4*l + 2 - 14 = 0, 2*l = -3*s + 6 for s.
4
Solve 0 = 2*q - p + 9, 59 = 4*q + 3*p + 52 for q.
-2
Solve -2*s = -5*g + 27, -g + 6*g + s - 24 = 0 for g.
5
Solve 2*a - 30 + 38 = 0, 4*h - 4*a - 36 = 0 for h.
5
Solve u + 7 = -2*m - 2, u + 3 = m for u.
-5
Solve 0 = -3*u + 4*a - 12, 2*u + 4*a + 0*a - 12 = 0 for u.
0
Solve 3*c = 2*r - 1, 12 = -2*c - 3*r - 6 for c.
-3
Solve 3*m + 0 = -2*r + 19, r - m - 2 = 0 for r.
5
Solve -2*i - 2*r = 2*i + 2, -5*i + 3*r + 3 = 0 for i.
0
Solve -5*f = k - 30, 21 = 4*f + 1 for k.
5
Solve -4*g + 6 = -v, -v - 14 = -2*g - 12 for g.
2
Solve -3*y = -5*a - 34, -2*y - y - a + 4 = 0 for y.
3
Solve 2*y = d + 8 - 0, 0 = -y - 4*d + 13 for y.
5
Solve s + 8 = l, 5*l + s - 20 = 2*l for l.
7
Solve 3*j = g - 3*g - 2, -3*j - g = -2 for j.
2
Solve 5*y = -c + 29 - 2, 0 = -5*c + y + 5 for c.
2
Solve 2*s - 3 = 3*m + s, 3*m + 18 = -4*s for m.
-2
Solve 0 = -4*r - 3*t - 15, 4 = -4*r + 2*t - 6 for r.
-3
Solve -2*b + 0*k - 14 = -2*k, -5*k + 5 = b for b.
-5
Solve -3*m - q - 1 = 0, 9*m - 11 = 14*m - 3*q for m.
-1
Solve 2*g = 2*z + 16, 3*g + 8*z - 6*z - 9 = 0 for g.
5
Solve d + 4 = j + 13, 0 = j + 4 for d.
5
Solve 4*j + 4*v + 8 = 2*j, 10 = 4*j - 5*v for j.
0
Solve -i + 2 = 0, -i - i + 9 = -s for s.
-5
Solve 0 = -3*d + 7*b - 8*b + 14, -19 = 2*d - 5*b for d.
3
Solve -2*h = 4*n + 8, 3*n + 17 = 2*h - 3 for n.
-4
Solve -5 = -r + q - 2, -5*q - 16 = -4*r for r.
-1
Solve b + 2*a + 6 = 3*b, -2*b = a - 12 for b.
5
Solve -v - 5*u + 9 = 0, 367 - 392 = -5*v - 5*u for v.
4
Solve 2*u + 2 = 0, -m = 3*m - 5*u - 17 for m.
3
Solve 4 - 5 = b + w, -3*b = -2*w - 17 for b.
3
Solve x + 4 = -2*i, -12 + 8 = 2*x + 3*i for x.
4
Solve -4*o = -2*x - 16, 0*o - 3*x + 26 = 4*o for o.
5
Solve 5*d + 6 = 2*d + 3*p, 5*d - 26 = -4*p for d.
2
Solve -5*v + 7*v + 5*d = -8, -4*v + 4*d = 16 for v.
-4
Solve -4*b - 2 - 8 = 2*m, -3*b + 3*m - 21 = 0 for b.
-4
Solve 4*o + p = 5, -4*o - 6 = -2*p + 4 for o.
0
Solve -3*f - 3 = 0, u + 8 = -2*u - 5*f for u.
-1
Solve 4*z + z = -4*x + 6, 5*x - 22 = z for x.
4
Solve -3*r + 1 = -2*i, -r - 5*i + 2*i = 18 for r.
-3
Solve -5*w - 20 = 5*u, -2*u + w + 0*w + 7 = 0 for u.
1
Solve 15*a - 12*a - 4 = -5*s, 3*s = -a for s.
-1
Solve -4*g - 9 = 5*l, -g + 2*g = -3*l - 4 for g.
-1
Solve 2*a - 4*n = 6, -5*n = -0*n + 10 for a.
-1
Solve -5*g - v + 18 = -2*v, 0 = -3*g + v + 10 for g.
4
Solve 4*d + 2*t + 10 = 0, t + 3*t - 8 = -d for d.
-4
Solve 3*s - 213*y + 209*y + 4 = 0, 2*s + 4 = 4*y for s.
0
Solve 3*o - 6 = 24*t - 25*t, -4*o = -4 for t.
3
Solve 0 = m - 3*c + 4*c, 0 = -3*m - c for m.
0
Solve -5*t - 11*m + 28 = -8*m, 3*t - 19 = -4*m for t.
5
Solve -t + 4*m - 9 = 0, 15*t + m + 1 = 12*t for t.
-1
Solve 5*x + 4*a = -9, -4*x = a - 0 + 16 for x.
-5
Solve a + 14*h - 9*h - 19 = 0, 3*h = -2*a + 3 for a.
-6
Solve 0 = -g + 2*v + 5 + 1, -2 = -g - 2*v for g.
4
Solve 22 = -m + 5*n, 2*n = 4*m - 8*m for m.
-2
Solve -5*b - 3 + 28 = 5*t, 0 = -3*t - 4*b + 15 for t.
5
Solve -m = 5*o - 10, 4*m - 87*o = -88*o + 2 for m.
0
Solve 2*x + 2*v = -2, 0 = -0*x + 2*x - v - 4 for x.
1
Solve 4*c - 8*l + 9*l + 11 = 0, 0 = -3*c - 3*l + 3 for c.
-4
Solve -3*r - 15 = 0, -6*q - 2*r = -13*q + 38 for q.
4
Solve 5*s + 20 = 4*x, 2*x = -119*s + 114*s - 20 for x.
0
Solve 0 = -4*x - 5*n - 4 - 13, 3*x + 13 = -4*n for x.
-3
Solve 0 = 4*q, q = -7*l + 2*l + 5*q for l.
0
Solve 29*h - 2 = 3*j + 31*h, 0 = -3*j - h - 4 for j.
-2
Solve 0 = -4*b + 8, 3*s - 3*b = b + 7 for s.
5
Solve -y + 15 = 6*f - 4*y, -3*f + 15 = -4*y for f.
1
Solve 0 = -2*d - 5*h + 11 + 4, d - 6 = -2*h for d.
0
Solve t = -3*w - 8, 2*t = 5*w - 5 - 0 for t.
-5
Solve 3*x - 2*m = -2, -3*m - 14 = 5*x + 21 for x.
-4
Solve 16*t + 3*r + 23 = 18*t, 5*t + 3*r = -16 for t.
1
Solve -52*o = -50*o + 3*q - 9, 24 = -3*o + 3*q for o.
-3
Solve 3*s + 3*m = 7*s - 27, -3*m = -3*s + 24 for s.
3
Solve -11 = -z - 5*c - 1, -2*c = -2*z - 16 for z.
-5
Solve -3*a = k + 16, -5*a - 4*k - 32 = -a for a.
-4
Solve -c = -m - m + 3, -2*c - 2*m + 6 = 0 for c.
1
Solve -5 = -2*x + 2*r + 3, -2*x - 7 = r for x.
-1
Solve 4*b - 6*u + 3*u + 13 = 0, 2*u = -2 for b.
-4
Solve 3*r = -3*q - 24, 5*r - 4*q + 9 = -4 for r.
-5
Solve 5*o - a = 21, 2*o - 4*a - 4 = -2*o for o.
5
Solve -d - 4 = -5*q + 1, 3*q = -d - 5 for q.
0
Solve -2*x = 5*t + 10, 5*t - x - 2*x = 15 for t.
0
Solve -v = -5*w - 25, 0 = 2*w + 36*v - 31*v + 10 for w.
-5
Solve -4*p + 31 = o + 10, -4*o - 4*p = -36 for o.
5
Solve -14 = -3*d + 4*p - 26, 0 = 5*d + 3*p + 20 for d.
-4
Solve 13 = -5*i - 4*j, -6*i + j - 28 = -i for i.
-5
Solve -3*z = 3*q, -1 = -q + 1 for z.
-2
Solve -4*p - 20 = 3*i + 11, 5*i + 5*p + 45 = 0 for i.
-5
Solve -g - 23 = -4*a - 26, -2*a + 4*g - 12 = 0 for a.
0
Solve 0 = -o + 35*p - 39*p + 18, 4*p - 24 = 2*o for o.
-2
Solve 4*l + 29 = 5*n, -8*n + 2*l = -7*n - 7 for n.
5
Solve 0 = -3*p - 15, -2*p - 13 = -g - 0*p for g.
3
Solve 3*w + 5*o - 35 = 0, -w - 5*o + 21 = -o for w.
5
Solve 5 = 3*i - 2*r, 47 - 17 = 3*i + 3*r for i.
5
Solve -3*f = 12, x + f + 2 = -2 for x.
0
Solve 4*y - 15 = -3*n + 2*y, 4*y - 15 = -3*n for n.
5
Solve 6 = -a + t + 3*t, 4*t = -2*a for a.
-2
Solve -5*h = 2*r - 10, 14*h - 13*h = 5*r + 2 for r.
0
Solve -v = 5*x - 24, -5*v + 8*v = 2*x - 13 for v.
-1
Solve -v | {
"pile_set_name": "DM Mathematics"
} |
eplacement from {c: 6, w: 2, k: 4, z: 3}. Give prob of picking 3 c and 1 z.
4/91
Calculate prob of picking 3 t when three letters picked without replacement from tdidttitdt.
1/12
Two letters picked without replacement from hmfmo. What is prob of picking 1 h and 1 m?
1/5
What is prob of picking 1 s and 1 r when two letters picked without replacement from {h: 4, s: 1, x: 3, r: 5}?
5/78
What is prob of picking 2 z when two letters picked without replacement from {b: 2, z: 6}?
15/28
What is prob of picking 1 m and 1 a when two letters picked without replacement from jmummmamlmmmmjumamm?
8/57
Two letters picked without replacement from ssqssqqsqqqq. Give prob of picking 1 s and 1 q.
35/66
Four letters picked without replacement from {s: 1, o: 5, q: 3}. Give prob of picking 1 q and 3 o.
5/21
Four letters picked without replacement from {e: 5, z: 4, q: 1}. What is prob of picking 2 e and 2 z?
2/7
Three letters picked without replacement from uzuuuzuzuuuuzuuuuuzu. Give prob of picking 1 z and 2 u.
35/76
Four letters picked without replacement from jjjjbjjjjjb. Give prob of picking 4 j.
21/55
Four letters picked without replacement from vvmmjmjjjjvmjjvmjjpj. Give prob of picking 3 j and 1 v.
32/323
Three letters picked without replacement from {b: 2, u: 9}. What is prob of picking 1 u and 2 b?
3/55
Two letters picked without replacement from xyvus. What is prob of picking 1 s and 1 v?
1/10
Two letters picked without replacement from jja. Give prob of picking 2 j.
1/3
What is prob of picking 2 d and 2 j when four letters picked without replacement from {j: 5, d: 14}?
455/1938
Calculate prob of picking 2 o, 1 j, and 1 n when four letters picked without replacement from {j: 1, n: 2, o: 3, v: 1}.
6/35
Two letters picked without replacement from {c: 2, v: 6, g: 4}. Give prob of picking 2 c.
1/66
Three letters picked without replacement from {l: 4, z: 16}. What is prob of picking 3 l?
1/285
Calculate prob of picking 2 k when two letters picked without replacement from kwwkuyqwwquqweq.
1/105
Four letters picked without replacement from {y: 2, x: 11}. What is prob of picking 1 y and 3 x?
6/13
Three letters picked without replacement from miigigimigmggqigi. What is prob of picking 1 q and 2 i?
21/680
Calculate prob of picking 1 c, 1 k, and 2 h when four letters picked without replacement from yhccfcyccfchckkhkfk.
7/323
Calculate prob of picking 1 m, 2 g, and 1 f when four letters picked without replacement from ggfggmzjg.
5/63
What is prob of picking 1 k, 1 h, and 2 n when four letters picked without replacement from {q: 2, h: 1, k: 4, f: 1, n: 3}?
2/55
Two letters picked without replacement from {s: 1, y: 6, r: 10}. Give prob of picking 2 y.
15/136
Two letters picked without replacement from ssnic. Give prob of picking 1 n and 1 i.
1/10
Two letters picked without replacement from qccqqqqqq. What is prob of picking 2 q?
7/12
Calculate prob of picking 4 a when four letters picked without replacement from oxapppxaaxppxpoaopi.
1/3876
Two letters picked without replacement from zvz. Give prob of picking 2 z.
1/3
Three letters picked without replacement from wwwweeweweew. Give prob of picking 2 e and 1 w.
7/22
What is prob of picking 3 q when three letters picked without replacement from qqqqqqiqqqiqq?
15/26
Four letters picked without replacement from zzzs. What is prob of picking 2 s and 2 z?
0
Two letters picked without replacement from ommoomoomm. Give prob of picking 2 m.
2/9
Calculate prob of picking 1 p and 2 v when three letters picked without replacement from {v: 3, p: 3, i: 2}.
9/56
Calculate prob of picking 1 f, 1 l, 1 y, and 1 n when four letters picked without replacement from {f: 1, y: 1, r: 1, n: 1, l: 3}.
3/35
Two letters picked without replacement from zppizznxzznxinzxrx. Give prob of picking 1 r and 1 i.
2/153
Calculate prob of picking 1 d, 2 y, and 1 m when four letters picked without replacement from ddayaddmmdyy.
2/33
What is prob of picking 1 i and 1 m when two letters picked without replacement from {m: 3, i: 7}?
7/15
Three letters picked without replacement from yooyyoooyoooooyooo. What is prob of picking 2 y and 1 o?
65/408
Calculate prob of picking 1 q, 1 v, and 2 s when four letters picked without replacement from {b: 1, v: 2, q: 3, s: 4, o: 1}.
6/55
Three letters picked without replacement from {i: 2, h: 1, v: 1, p: 4, n: 3, a: 1}. What is prob of picking 1 h, 1 a, and 1 n?
3/220
Three letters picked without replacement from yyyyyllylyy. Give prob of picking 2 l and 1 y.
8/55
Calculate prob of picking 1 g and 2 l when three letters picked without replacement from {g: 16, l: 4}.
8/95
Three letters picked without replacement from qrqcrrrqqrcrcrqcrqqq. Give prob of picking 1 q and 2 c.
4/95
What is prob of picking 2 u and 1 l when three letters picked without replacement from {l: 5, u: 7}?
21/44
Four letters picked without replacement from xxvvcxxxxxxxcxx. What is prob of picking 3 x and 1 v?
22/91
Two letters picked without replacement from {e: 6, v: 6}. Give prob of picking 1 e and 1 v.
6/11
Four letters picked without replacement from ddrnnrddd. What is prob of picking 2 d and 2 n?
5/63
What is prob of picking 1 w and 2 z when three letters picked without replacement from gygzwizhy?
1/84
What is prob of picking 3 c when three letters picked without replacement from {z: 1, c: 2}?
0
Two letters picked without replacement from jrjj. What is prob of picking 1 r and 1 j?
1/2
Three letters picked without replacement from umuxmxxm. Give prob of picking 1 u and 2 m.
3/28
Calculate prob of picking 1 v and 3 j when four letters picked without replacement from ejjqevvevqvjvvvejj.
7/306
Two letters picked without replacement from kvxgkgvkkxgkggvgg. What is prob of picking 1 g and 1 x?
7/68
Four letters picked without replacement from {j: 4, r: 6}. What is prob of picking 3 j and 1 r?
4/35
Two letters picked without replacement from eeief. What is prob of picking 1 f and 1 i?
1/10
Two letters picked without replacement from {d: 5, j: 5}. What is prob of picking 2 j?
2/9
Four letters picked without replacement from nnrdcnr. What is prob of picking 1 n, 1 r, 1 d, and 1 c?
6/35
Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {l: 2, q: 1, o: 3, c: 4, n: 1}.
4/55
Three letters picked without replacement from sssssss. What is prob of picking 3 s?
1
Three letters picked without replacement from qlqlllwlqllllwqwlplq. Give prob of picking 1 l and 2 q.
11/114
Two letters picked without replacement from {l: 1, r: 1, n: 2, i: 1, f: 2, s: 1}. What is prob of picking 1 l and 1 i?
1/28
Three letters picked without replacement from heababhoakha. Give prob of picking 1 e and 2 a.
3/110
What is prob of picking 1 f, 2 b, and 1 u when four letters picked without replacement from {j: 1, s: 3, a: 1, b: 6, u: 3, f: 4}?
1/17
What is prob of picking 1 p and 2 u when three letters picked without replacement from ppuppoouuopuupoupu?
49/272
What is prob of picking 1 m and 2 p when three letters picked without replacement from mmpmppppmrmmmmmmm?
11/68
Two letters picked without replacement from {k: 1, p: 4, t: 2, l: 2, r: 10}. What is prob of picking 1 l and 1 r?
20/171
Four letters picked without replacement from {v: 10, g: 4}. What is prob of picking 1 g and 3 v?
480/1001
Four letters picked without replacement from ttzztztztztwkzkzkz. Give prob of picking 4 z.
7/306
Two letters picked without replacement from dddodddxddxdoood. Give prob of picking 1 d and 1 x.
1/6
Three letters picked without replacement from {v: 1, m: 1, e: 1, u: 6, i: 3}. Give prob of picking 2 i and 1 m.
3/220
Two letters picked without replacement from {p: 1, n: 7, s: 1}. Give prob of picking 2 p.
0
Three letters picked without replacement from ncrrmec. What is prob of picking 1 e and 2 c?
1/35
Calculate prob of picking 1 y, 1 r, 1 m, and 1 v when four letters picked without replacement from {y: 1, v: 3, m: 3, p: 1, r: 3, j: 2}.
27/715
What is prob of picking 1 o and 1 x when two letters picked without replacement from mmmxmxsmmsmmmo?
2/91
Three letters picked without replacement from {b: 3, v: 5}. Give prob of picking 3 b.
1/56
Two letters picked without replacement from xteem. Give prob of picking 1 m and 1 x.
1/10
Three letters picked without replacement fro | {
"pile_set_name": "DM Mathematics"
} |
*l**4 + 0*l + q - r*l**2 - 8*l**3.
-2*l**2*(3*l + 2)**2/3
Let j(b) be the first derivative of b**6/27 + 2*b**5/45 - b**4/9 - 1. Let j(x) = 0. What is x?
-2, 0, 1
Let h(t) = -20*t - 74. Let w be h(-4). Let j(p) be the second derivative of -1/135*p**w - 1/45*p**5 + 0*p**2 - 1/54*p**4 + 0 - p + 0*p**3. Factor j(n).
-2*n**2*(n + 1)**2/9
Let u be 1/2*(-1 - 3). Let o = 6 + u. Factor -10*w**3 + 3*w**2 + 21*w**2 + o - 26*w + 8*w.
-2*(w - 1)**2*(5*w - 2)
Let f be (-24)/(-35) - 60/210. Factor 0 - 2/5*j + f*j**2.
2*j*(j - 1)/5
Suppose -m - 9 = 4*t + 8, 37 = 4*m - 5*t. Factor 2*o**5 + m*o**3 + 3 + 4*o**2 - o - 5*o**4 - 3*o**2 - 3.
o*(o - 1)**3*(2*o + 1)
Let b be ((-12)/(-75))/((-4)/(-20)). Find i, given that -b*i**2 + 4/5 + 0*i = 0.
-1, 1
Let v(g) be the first derivative of g**4/12 + g**3 + 9*g**2/2 - 2*g - 2. Let s(h) be the first derivative of v(h). Solve s(i) = 0 for i.
-3
Let u(i) = -i**2 + 11*i - 7. Let n be u(10). Suppose 5*j + 3*b = b - 2, -4 = n*j + 4*b. Let j*a + 0*a**2 + 0 + 1/3*a**3 = 0. Calculate a.
0
Let n = 6 + -4. Let r(b) be the first derivative of 1/3*b**3 + 3 + 1/2*b**n + 0*b - 1/4*b**4 - 1/5*b**5. Factor r(l).
-l*(l - 1)*(l + 1)**2
Let i(b) = -b - 3. Let n be i(-6). Determine k so that 2*k**n - 10*k + 10*k + 2*k**2 = 0.
-1, 0
Let u(c) = c**2 + 1. Let x(a) = 20*a**2 + 27*a - 1. Let j(o) = -5*u(o) + x(o). Factor j(s).
3*(s + 2)*(5*s - 1)
Let z(p) = 5*p**4 - 24*p**2 + 28*p - 3. Let x(s) = -s**3 + s**2 + s + 1. Let h(c) = 3*x(c) - z(c). Factor h(w).
-(w - 1)**2*(w + 3)*(5*w - 2)
Let r = 3/130 + 59/260. Factor 1/4*w**4 - 1/4*w**3 - r*w**2 + 1/4*w + 0.
w*(w - 1)**2*(w + 1)/4
Let v(c) = 4*c**3 - 12*c**2 + 7*c - 9. Let h(w) = -6*w**3 + 18*w**2 - 11*w + 13. Let b(q) = -5*h(q) - 7*v(q). Factor b(o).
2*(o - 1)**3
Let n be 3 + 3/((-300)/436) + 2. Let p(g) be the first derivative of 12/5*g**3 + 2/5*g + 1 + 2*g**4 + 7/5*g**2 + n*g**5. What is c in p(c) = 0?
-1, -1/2
Let k = 2 - -4. Let l(a) = a**3 - 5*a**2 - 6*a + 2. Let u be l(k). Let -1/4*w**3 - 1/4*w**u + 1/2*w**4 + 0 + 0*w = 0. Calculate w.
-1/2, 0, 1
Suppose 0 + 10/3*b + 2/3*b**2 = 0. Calculate b.
-5, 0
Suppose 4*r = 5*r - 10. Let k = 10 + -7. Factor 0*y**3 - 2*y**k - r*y**4 - 2*y**3.
-2*y**3*(5*y + 2)
Find v, given that 0*v - 4*v - 4*v**2 + 7*v**3 + 20*v**3 - 7*v**3 - 12*v**4 = 0.
-1/3, 0, 1
Factor -7*i**2 - i + 5*i**3 - 12 + 11 + 4.
(i - 1)**2*(5*i + 3)
Let n be (3 + -3)/(2 - 3). Let w be n + (3 - (-1 + 1)). Factor -6*m**4 - 2 + 21*m**w + 12*m + 0*m**4 - 24*m**2 - m**3.
-2*(m - 1)**3*(3*m - 1)
Let h(j) be the second derivative of -j**4/3 - 8*j**3/3 - 6*j**2 - 7*j. Factor h(n).
-4*(n + 1)*(n + 3)
Let b(x) be the first derivative of x**6/300 - x**4/20 - 2*x**3/15 - 5*x**2/2 + 4. Let c(g) be the second derivative of b(g). Let c(y) = 0. Calculate y.
-1, 2
Factor 2*y - 33*y**2 - 31*y**2 + 73*y**2.
y*(9*y + 2)
Let a(w) = 3*w**4 - 12*w**3 + 6*w**2 + 6*w + 3. Let c(r) = 2*r**4 - 11*r**3 + 5*r**2 + 6*r + 3. Let t(y) = 5*a(y) - 6*c(y). Solve t(k) = 0.
-1, 1
Let c = 12 + -8. Suppose -c + 19 = 3*f. Determine a so that 10*a**3 - 28*a**4 + 16*a**2 - 30*a**f - 8*a - 5*a**3 + 21*a**3 = 0.
-1, 0, 2/5, 2/3
Let q(d) be the third derivative of d**7/1680 + d**6/1080 - 7*d**5/720 + d**4/72 - 2*d**3/3 + 2*d**2. Let a(c) be the first derivative of q(c). Factor a(o).
(o - 1)*(o + 2)*(3*o - 1)/6
Let z(g) = g**3 + 5*g**2 - 2*g - 7. Let u be 10*1/4*-2. Let l be z(u). Suppose 3*d**l - 2*d**4 + 1/2*d - 2*d**2 + 0 + 1/2*d**5 = 0. Calculate d.
0, 1
Factor 4/3*n**4 + 0*n**3 - 2/3*n + 2/3*n**5 + 0 - 4/3*n**2.
2*n*(n - 1)*(n + 1)**3/3
Let o(q) be the third derivative of -5*q**8/336 + q**7/42 + q**6/24 - q**5/12 + 27*q**2. Factor o(g).
-5*g**2*(g - 1)**2*(g + 1)
Let s(q) be the third derivative of q**10/30240 - q**9/7560 + q**7/1260 - q**6/720 - q**4/8 - 4*q**2. Let w(k) be the second derivative of s(k). Factor w(o).
o*(o - 1)**3*(o + 1)
Let b(k) be the first derivative of k - 1/6*k**3 + 4 + 1/4*k**2. Determine h so that b(h) = 0.
-1, 2
Let v be ((-3)/1 - (-4 - -1))/2. Factor 2/3*k**5 + v*k**2 - 4/3*k**3 + 2/3*k + 0*k**4 + 0.
2*k*(k - 1)**2*(k + 1)**2/3
Let a(q) be the second derivative of -q**9/12096 + q**8/3360 - q**7/3360 + q**3/6 - 5*q. Let b(c) be the second derivative of a(c). Suppose b(g) = 0. What is g?
0, 1
Let u(f) be the first derivative of f**6/135 + f**5/54 + f**4/108 + 2*f**2 - 3. Let c(v) be the second derivative of u(v). Let c(s) = 0. Calculate s.
-1, -1/4, 0
Suppose -12 = -3*s + 6. Suppose s*p**3 + 9*p**2 - 9*p**4 + p**3 - 4*p**3 - 3*p = 0. What is p?
-1, 0, 1/3, 1
Let r be 180/210 - 54/14 - -3. Find c, given that -1/6*c**3 + r*c**2 + 0 + 0*c = 0.
0
Factor -15/7*b + 12/7*b**2 - 3/7*b**3 + 6/7.
-3*(b - 2)*(b - 1)**2/7
Let f(o) be the third derivative of o**8/2240 + o**7/840 + o**4/4 + 4*o**2. Let y(b) be the second derivative of f(b). Find k such that y(k) = 0.
-1, 0
Let r be 5/(-14)*((-52)/8 + 3). Suppose 1/4*d**4 + 9/4*d**2 + 1/2 - 7/4*d - r*d**3 = 0. Calculate d.
1, 2
Let b(s) be the second derivative of -s**6/60 + s**5/20 - 6*s. Factor b(z).
-z**3*(z - 2)/2
Suppose -5*r - 15 - 5 = 0. Let m be r/14 - 10/(-35). Factor 0*p + 1/4*p**4 - 1/2*p**3 + 1/4*p**2 + m.
p**2*(p - 1)**2/4
Let q(h) = -h**3 - 12*h**2. Let x be q(-12). Let m(p) be the third derivative of -4*p**2 - 1/44*p**4 + 0*p**5 + 2/33*p**3 + x*p + 0 + 1/660*p**6. Factor m(y).
2*(y - 1)**2*(y + 2)/11
Let z = 19 + -19. Suppose -3*d + q = -8*d + 6, z = 2*d + 2*q + 4. Determine c so that 2/9*c + 0 + 2/9*c**3 - 4/9*c**d = 0.
0, 1
Factor 3/4*m**2 - 1/2*m**3 + 0 - 1/4*m.
-m*(m - 1)*(2*m - 1)/4
Suppose -91*l - 15 = -94*l. Let j(a) be the second derivative of 1/9*a**3 + 0 - 1/30*a**l + 0*a**2 - 3*a + 0*a**4. Solve j(p) = 0 for p.
-1, 0, 1
Let a(h) = -4*h**3 + h. Let x be a(2). Let s be (2/(-8))/(6/x). Determine k so that s*k - 1/4 - k**2 = 0.
1/4, 1
Let b(q) be the third derivative of q**7/280 - q**6/32 + 3*q**5/80 + 5*q**4/32 - q**3/2 + 29*q**2. Factor b(r).
3*(r - 4)*(r - 1)**2*(r + 1)/4
Suppose 4*t - 4*m = -4 + 20, 3*m + 8 = -t. Let o(s) = s**2 - 1. Let d(a) = 20*a**2 + 18*a - 2. Let g(q) = t*d(q) - 5*o(q). Factor g(w).
3*(w + 1)*(5*w + 1)
Suppose -2*v - 3*o + 6 = v, 3*o - 12 = 0. Let u(n) = -3*n**3 + 5*n**2. Let l(j) = -9*j**3 + 16*j**2. Let k(g) = v*l(g) + 7*u(g). Solve k(c) = 0 for c.
0, 1
Let j(i) = -2*i - 2. Let w be j(-4). Factor -17*u**2 + 4*u**2 + 21*u + w*u**2 + u**2 - 9.
-3*(u - 3)*(2*u - 1)
Let g(p) be the third derivative of -p**8/112 + p**7/70 + 3*p**6/40 - p**5/20 - p**4/4 + 12*p**2. Let g(m) = 0. What is m?
-1, 0, 1, 2
Let y = -2 - -8. Let d(u) = -9*u**4 + 6*u**3 + 3*u**2 + 12*u. Let q(m) = 8*m**4 - 5*m**3 - 4*m**2 - 11*m. Let x(t) = y*q(t) + 5*d(t). Factor x(s).
3*s*(s - 2)*(s + 1)**2
Let x be (-2)/(-4) - (-20)/(-8). Let j be -2 + x + (-28)/(-6). Factor -2/3*r + 2/3*r**2 - j + 2/3*r**3.
2*(r - 1)*(r + 1)**2/3
Let b be 5/(450/42) - 1/(-5). Let r(l) be the second derivative of 0 + 2*l - b*l**2 - 1/36*l**4 - 2/9*l**3. What is c in r(c) = 0?
-2
Let u(p) be the third derivative of -p**8/1680 + p**7/1260 - p**4/8 + p**2. Let s(h) be the second derivative of u(h). Factor s(l).
-2*l**2*(2*l - 1)
Factor 1/4 - 1/8*k**2 - 1/8*k.
-(k - 1)*(k + 2)/8
Let p(y) be the first derivative of 4 + 0*y**3 - 1/6*y**6 + 0*y**2 - 1/4*y**4 - 2/5*y**5 + 0*y. Factor p(k).
-k**3*(k + 1)**2
Let l(v) = -20*v**5 + 80*v**3 - 40*v**2 - 60*v + 40. Let r(s) = -5*s**5 + 20*s**3 - 10*s**2 - 15*s + 10. Let n(b) = -2*l(b) + 9*r(b). Factor n(j).
-5*(j - 1)**3*(j + 1)*(j + 2)
Determine k, given that 0 - 1/3*k**4 + k**2 + 0*k + 2/3*k**3 = 0.
-1, 0, 3
Suppose 0 = 4*g + 16, 2*g = -f - 0*g. Suppose -3*u + f = -7. Find w, given that -5/3*w - 10/3*w**2 - 5/3*w**4 - 10/3*w**3 - 1/3 - 1/3*w**u = 0.
-1
Let d(y) be the second derivative of -y**5/5 + y**4/3 + 2*y**3/3 - 4*y**2 - 2*y. Let p(b) be the first derivative of d(b). Let p(j) = 0. What is j?
-1/3, 1
Let l(t) = 8*t**3 + 5*t**2 - t + 9. Let d(j) = -2 - j + 5*j**2 + 1 + 7*j**3 + 9 - j**2. Let c(b) = 7*d(b) - 6*l(b). Find x, given that c(x) = 0.
-1, 1, 2
Let p(f) = 3*f - 10. Let h be p(5). Suppose -4*d - h*s = -s, -2*d - s + 2 = 0. Let 0*u**d - 3/5*u**3 - 1/5*u**4 + 0 + 4/5*u = 0. Calculate u.
-2, 0, 1
Let q be ((-4)/(-3))/(-3 + 22/6). Determine u, given that 2/5*u**3 + 0 + 2/5*u**4 - 2/5*u - 2/5*u**q = 0.
-1, 0, 1
Suppose -30 = -17*x + 4 | {
"pile_set_name": "DM Mathematics"
} |
0.00166047339 to 3 decimal places.
-0.002
Round 0.00361383184 to 5 dps.
0.00361
Round -36692506.4 to the nearest one million.
-37000000
What is 1.64684201 rounded to four decimal places?
1.6468
What is -6.18815006 rounded to one dp?
-6.2
Round -26421264000 to the nearest one million.
-26421000000
What is 11.940945 rounded to the nearest integer?
12
What is -574927.761 rounded to the nearest 100000?
-600000
Round -497442.919 to the nearest 100000.
-500000
Round -19933796.795 to the nearest ten thousand.
-19930000
Round 89342296 to the nearest 100000.
89300000
What is -58242008.5 rounded to the nearest one hundred thousand?
-58200000
What is 0.0000190055423 rounded to five dps?
0.00002
What is -0.1039353 rounded to 1 dp?
-0.1
Round -7173465.62 to the nearest one hundred.
-7173500
Round 3.7397657 to 2 dps.
3.74
What is -1647.18073 rounded to the nearest integer?
-1647
Round 174629.716 to the nearest one thousand.
175000
Round 2.59867293 to 3 dps.
2.599
What is -0.829761748 rounded to 4 dps?
-0.8298
What is -1054286.13 rounded to the nearest one hundred thousand?
-1100000
Round -134821.5739 to the nearest one thousand.
-135000
Round -0.0451934379 to six decimal places.
-0.045193
What is -22911200 rounded to the nearest one hundred thousand?
-22900000
What is -1434.17922 rounded to the nearest one hundred?
-1400
What is 13.132277 rounded to one dp?
13.1
What is -9550.81026 rounded to the nearest 1000?
-10000
What is -98508852.3 rounded to the nearest 1000000?
-99000000
What is 0.0001952110325 rounded to seven decimal places?
0.0001952
What is -65.0296819 rounded to the nearest integer?
-65
Round -14910959.6 to the nearest one thousand.
-14911000
Round 2.490167381 to 1 dp.
2.5
Round -0.0000012703832803 to seven dps.
-0.0000013
What is -0.436892505 rounded to three decimal places?
-0.437
Round 71035.217 to the nearest one hundred thousand.
100000
What is 87774.306 rounded to the nearest one thousand?
88000
Round 458.468982 to the nearest ten.
460
Round 604103.659 to the nearest 1000.
604000
Round -6052.74124 to the nearest one thousand.
-6000
What is -418.413467 rounded to 1 decimal place?
-418.4
What is -600402120 rounded to the nearest ten thousand?
-600400000
What is 4455381.57 rounded to the nearest 10000?
4460000
What is -351.55698 rounded to the nearest 100?
-400
Round -1277.5837 to 1 dp.
-1277.6
Round 38543.908591 to the nearest 10.
38540
Round 5824.73553 to the nearest one thousand.
6000
What is -44931560 rounded to the nearest 1000000?
-45000000
What is 0.0000007019413 rounded to 7 dps?
0.0000007
What is 102571350580 rounded to the nearest one million?
102571000000
What is 2.2615484 rounded to 3 dps?
2.262
Round -257.1230984 to 2 decimal places.
-257.12
Round -9204292.73 to the nearest 100000.
-9200000
Round -0.00000134811693 to 7 decimal places.
-0.0000013
Round 14.8341436 to the nearest integer.
15
What is 157624217910 rounded to the nearest 1000000?
157624000000
What is 2709118250 rounded to the nearest 1000000?
2709000000
What is 9.106998 rounded to the nearest ten?
10
What is -1570.6381369 rounded to zero decimal places?
-1571
What is 1352.25619 rounded to the nearest 10?
1350
Round 0.0750132966 to five decimal places.
0.07501
Round 28.576442 to 1 decimal place.
28.6
Round 1.88754505 to three dps.
1.888
What is 293.234983 rounded to the nearest integer?
293
What is -0.00215767409 rounded to six decimal places?
-0.002158
What is -41.394991 rounded to one decimal place?
-41.4
What is -3.11368044 rounded to 3 dps?
-3.114
Round 265001.4749 to the nearest one hundred.
265000
What is 85726696 rounded to the nearest one hundred thousand?
85700000
Round 0.089423686 to 6 dps.
0.089424
Round -2003372.6829 to the nearest 10000.
-2000000
Round 0.0103608812 to six decimal places.
0.010361
Round -16160.77499 to the nearest integer.
-16161
What is -13215426.59 rounded to the nearest 10000?
-13220000
What is -0.3558783643 rounded to three decimal places?
-0.356
What is 0.3641602753 rounded to three decimal places?
0.364
Round -687015.449 to the nearest 100000.
-700000
What is 293242156 rounded to the nearest one million?
293000000
What is -564629.265 rounded to the nearest one thousand?
-565000
What is -112.1436879 rounded to the nearest 10?
-110
Round -0.00304910325 to three decimal places.
-0.003
Round -1444383.1524 to the nearest 100.
-1444400
Round 0.002706248268 to seven dps.
0.0027062
Round -285424176 to the nearest ten thousand.
-285420000
Round -358.76572471 to 3 decimal places.
-358.766
What is -7250990.12 rounded to the nearest one thousand?
-7251000
What is 14.11529039 rounded to 0 dps?
14
What is 3584578.39 rounded to the nearest 10000?
3580000
What is 1346025368 rounded to the nearest 100000?
1346000000
Round 0.0000002420653761 to 7 decimal places.
0.0000002
Round 19433.24333 to the nearest one thousand.
19000
What is -0.00001961104442 rounded to seven decimal places?
-0.0000196
What is -0.3623768712 rounded to four decimal places?
-0.3624
Round -0.00001877745219 to 7 decimal places.
-0.0000188
Round -41255983.5 to the nearest one hundred thousand.
-41300000
What is 0.0000008923154738 rounded to 7 decimal places?
0.0000009
Round 0.0000081237613 to 7 dps.
0.0000081
What is -46662272.2 rounded to the nearest one million?
-47000000
What is 0.010344355 rounded to five dps?
0.01034
Round -0.01096164562 to 6 decimal places.
-0.010962
Round 2.150002488 to 4 decimal places.
2.15
What is -2799413.153 rounded to the nearest one hundred thousand?
-2800000
What is 85814.90847 rounded to the nearest ten?
85810
Round -35894.593 to the nearest 10.
-35890
Round -126.45570073 to the nearest 10.
-130
What is -790580.4 rounded to the nearest 1000?
-791000
Round -8946.51388 to the nearest 10.
-8950
Round 0.000602975604 to 5 dps.
0.0006
What is -20.24393747 rounded to three decimal places?
-20.244
What is -5937.05449 rounded to the nearest 1000?
-6000
Round 1.060536432 to one decimal place.
1.1
Round -0.0900289659 to four decimal places.
-0.09
What is -0.002921480997 rounded to 6 dps?
-0.002921
Round -419800075 to the nearest ten thousand.
-419800000
Round 0.02116789837 to 6 decimal places.
0.021168
Round 0.0000689785691 to 7 decimal places.
0.000069
What is -0.00213842863 rounded to 4 decimal places?
-0.0021
Round 14289.6111 to the nearest 10000.
10000
Round -0.1166723312 to five dps.
-0.11667
Round 0.020227148 to four decimal places.
0.0202
What is -24.79231768 rounded to two dps?
-24.79
Round 0.31347007 to two dps.
0.31
What is 0.018433847 rounded to 6 dps?
0.018434
Round 0.08110856353 to four decimal places.
0.0811
Round 1.466728938 to four dps.
1.4667
What is -0.0001283928799 rounded to 5 dps?
-0.00013
What is 4740.31 rounded to the nearest 10000?
0
What is 989377.675 rounded to the nearest ten thousand?
990000
Round 0.0001040440256 to 7 decimal places.
0.000104
Round 385659.369 to the nearest one hundred thousand.
400000
What is -2406.25668 rounded to 1 decimal place?
-2406.3
Round -0.00000234407776 to six dps.
-0.000002
Round 6348762.86 to the nearest ten thousand.
6350000
What is 9.9064919 rounded to 1 dp?
9.9
What is 0.00440813292 rounded to 7 dps?
0.0044081
What is -35.68265335 rounded to 2 dps?
-35.68
What is 0.166865636 rounded to 2 dps?
0.17
Round 1.139510745 to two dps.
1.14
What is -0.254982369 rounded to 5 dps?
-0.25498
What is -60140.5659 rounded to the nearest one thousand?
-60000
What is -0.7627055533 rounded to four dps?
-0.7627
What is 0.05765418 rounded to three dps?
0.058
What is -0.75973838 rounded to 3 decimal places?
-0.76
Round -2.410597711 to 0 dps.
-2
Round -19.696550304 to 4 decimal places.
-19.6966
Round -0.0000771115111 to 7 decimal places.
-0.0000771
What is -51468971.3 rounded to the nearest one thousand?
-51469000
What is 15970282.03 rounded to the nearest 1000000?
16000000
Round 22.82018 to the nearest ten.
20
What is -1434186.79 rounded to the nearest one hundred thousand?
-1400000
What is 300442.383 rounded to the nearest ten?
300440
What is -12818102.8 rounded to the nearest 1000000?
-13000000
What is 710756887 rounded to the nearest one hundred thousand?
710800000
Round 1108672.916 to the nearest ten thousand.
1110000
Round -5421.74824 to the nearest integer.
-5422
What is 0.026893108 rounded to four dps?
0.0269
Wha | {
"pile_set_name": "DM Mathematics"
} |
ue? (a) d (b) 4 (c) f
a
Let t = 55 + -273/5. What is the third biggest value in t, 0.6, 5?
t
Let a = 1.8 + -5.8. What is the third smallest value in -5, a, 2?
2
Let w = -877 + 41221/47. Let v = -145/94 + w. What is the third biggest value in v, -2, -1?
-2
Let s = 6 - 10. Let n = s + 3. Suppose 3*k - 15 = 2*q - 9, k + 5*q = 2. What is the third smallest value in n, k, 0.5?
k
Suppose -2 = -z - 4. Which is the second smallest value? (a) 3 (b) 33 (c) z
a
Let y = 40 + -321/8. Let g be 3 + (-18)/14 - 2. What is the biggest value in 0.3, g, y?
0.3
Suppose 6*o + 2 = 4*o. Let d be (1/(-14))/((-3)/(-18)). What is the third smallest value in d, -3/2, o?
d
Let u = 79 - 78.7. What is the third smallest value in u, 0.2, 3?
3
Let q be -2 + (-28)/(-9) - 1. Which is the third smallest value? (a) 3 (b) q (c) -0.5
a
Let i = 6.02 + -0.02. Which is the second biggest value? (a) i (b) 1/4 (c) -0.1
b
Let k be (-6)/15 + 26/(-10). Let s be k/10*10/12. Let z = -6 - -5.7. Which is the second smallest value? (a) s (b) z (c) -0.4
b
Let p = 4.2 - 4. Let v = 6 - 5.6. What is the smallest value in v, -5, p?
-5
Let m = -951/8 - -119. What is the second smallest value in -3/8, -3, m?
-3/8
Let f = 3 + -3.01. Which is the second biggest value? (a) -1 (b) -5 (c) f
a
Let w = -5 + -1. Suppose -p + 37 = 2. Let s be (w/p)/(15/50). Which is the smallest value? (a) s (b) 3/8 (c) 1
a
Let h = -125/6 + 21. Suppose d - m = 3*d + 2, 3*d + 8 = -4*m. Which is the biggest value? (a) d (b) h (c) 4
c
Suppose 4 = 3*y + 2*d + 15, 4*d + 4 = 0. Let i = 0.1 - 0. Let k = -0.1 + i. Which is the biggest value? (a) -0.5 (b) y (c) k
c
Let m = -33 + 36. Which is the second biggest value? (a) 3/2 (b) 6/7 (c) m
a
Suppose 2*n = -n - 9. Let j be ((-2)/22*2)/(-1). What is the second smallest value in n, j, 4?
j
Let f(y) = 6*y - 10. Let z be f(5). Suppose -4*t - 12 = -0*x - x, 4*t - 3*x = -z. Which is the second biggest value? (a) 2 (b) t (c) 3
a
Let y(t) = -4*t. Let m be y(1). Suppose 5*u + 18 = g, 3*g - 72 = -g - 3*u. Suppose -2 = 4*f + g. Which is the third biggest value? (a) m (b) 5 (c) f
c
Let d be (-7 - -5)/((-2)/4). Let l = 4 + -4. Let u = l - -0.4. What is the biggest value in 1, u, d?
d
Let x = -23 + 23.12. Let p = x - 0.52. Which is the biggest value? (a) 0.4 (b) -1/4 (c) p
a
Let c = 13 + -15. What is the biggest value in c, 3, 2?
3
Let g be 0 + -2 + (-336)/(-54) + -4. Which is the third biggest value? (a) -19 (b) -4 (c) g
a
Let m = -1.6 + -0.4. Let k = m - -2.2. Let o = k - 5.2. What is the second smallest value in o, 2/11, -3/5?
-3/5
Let v = -7.3 - -7. Let o be 1/(-4)*(-2 - 1). What is the smallest value in o, v, -1?
-1
Suppose 5*k - 7 - 8 = 0. Let u = -391771/2910 + 17/582. Let g = 135 + u. What is the third biggest value in g, 1/2, k?
g
Let y = 10 - 7. Let g = -6 + 6.06. Let t = g - 0.36. Which is the second smallest value? (a) -2 (b) t (c) y
b
Let x = -0.024 + 0.224. Which is the fourth biggest value? (a) -2/7 (b) -2/17 (c) -0.3 (d) x
c
Suppose -2*v - 25 = -7*v. Suppose 2*n - v*w + 3 = -1, -4*n = -w + 8. Let q be 1/(n/(-10))*-1. Which is the smallest value? (a) 2 (b) q (c) -1
b
Let u = -4.4 + 0.4. Let t = 0.038 - -6.962. Which is the second biggest value? (a) u (b) t (c) 2
c
Suppose -5*y + 13 - 43 = 0. Let a = -2 - y. What is the third smallest value in 0.07, 5, a?
5
Let n be (-26)/(-13)*(2/8)/(-1). What is the third smallest value in 1, -3, n, 0?
0
Let j = 1.3 + -1.5. Which is the smallest value? (a) j (b) -0.1 (c) 0.5
a
Let n = 0 + -0.03. Let h = n + -2.97. Let o = 7 + -2. Which is the biggest value? (a) 0 (b) o (c) h
b
Let r = 0 - -0.1. Let j = 6 - 5.9. Let f = j - r. What is the biggest value in -0.3, 4, f?
4
Let o = -0.01 - 0.99. Let s = 1.9 + 1.1. Which is the third biggest value? (a) o (b) -0.3 (c) s
a
Let y = -0.1 + 0.1. Let z = y + 1. Let o = -4 - -1. Which is the second biggest value? (a) 0.2 (b) z (c) o
a
Let g = -0.01 + 0.41. Let c = g - 0.3. Let m be ((-6)/675*-10)/(4/(-20)). What is the biggest value in 2/17, m, c?
2/17
Let l = 54 + -54.31. Let r = 0.09 - l. What is the third smallest value in r, -0.3, -1.1?
r
Let y be (4/6)/(0 + -2). Suppose 0 = -5*b - 0*f - 4*f + 205, 4*b = -3*f + 165. Let l be b/(-50) + (-4)/(-10). What is the second biggest value in y, 2/3, l?
y
Let u = 0.02 - 5.02. Let l = 0 - u. Let s = 0 - l. Which is the second biggest value? (a) 2 (b) s (c) -2
c
Let g be -1 + 3 + -2 + 3. Let l = 52.47 + -52. Let h = l - -0.03. Which is the third biggest value? (a) h (b) g (c) 2
a
Let p(t) = t**2 - 4*t - 8. Let g be p(6). Let w be (-25)/40 + 1/g. What is the smallest value in -5, w, 3?
-5
Let r be 1/2 - (-19)/(-2). Let v = -86 + 86.5. Which is the third biggest value? (a) v (b) r (c) 4
b
Let t = -1.5 + 1.1. Which is the second smallest value? (a) t (b) -2/11 (c) 5
b
Let k = 7 + -6.6. Suppose 0*p + 6 = 2*p. Which is the biggest value? (a) k (b) 6/11 (c) p
c
Let y = -0.027 + -0.473. Which is the biggest value? (a) y (b) -0.06 (c) -3
b
Let z = -0.15 - -9.15. Let t = z - 14. Let o = 0.06 - -1.94. What is the second smallest value in -3, o, t?
-3
Let t = -9 + 9.4. Which is the second smallest value? (a) t (b) -3 (c) 1 (d) -0.5
d
Let v be ((-45)/20 - -3)/(9/(-16)). Suppose -6*j - 8 = -2*j. Let h = 0 - -0.4. What is the smallest value in j, v, h?
j
Let y = 2 + -1.5. Let i = 0.4535 - 0.0535. What is the third biggest value in y, 0, i?
0
Let p = 0.5 - 1. Let n be (-8)/(-7)*(-2)/4. Let a = -0.27 + -0.73. What is the third biggest value in n, a, p?
a
Let p = -15 + 10. Let k = 0.8 - -0.2. Let r = 4 - k. What is the third smallest value in r, p, -0.1?
r
Let b = -0.13 - 0.17. Suppose -3*w - 3 = 3. Let m be w/(-4)*(-2)/(-1). What is the third biggest value in m, -0.5, b?
-0.5
Let f(v) = v - 1. Let w be f(-2). Let h be (-2)/11 + 420/132. Let j be 0/2 + h/(-5). What is the smallest value in 0.5, j, w?
w
Let c = 0.1 - -0.1. Let z = 11 - 15. What is the smallest value in z, 1, c?
z
Let l = 15 - 15.86. Let n = 0.14 - l. What is the biggest value in 0, -5, n?
n
Let u be (2/(-183))/((-1)/3). Let z = 108/427 + u. Let v = 10 - 7. What is the third smallest value in -1, v, z?
v
Let o = 7 + -7.3. Let g be (-36)/(-65) - (-6)/(-15). What is the second biggest value in o, g, 2?
g
Let g = 3.5 + 0.5. Which is the fourth biggest value? (a) 2/7 (b) -1 (c) -0.5 (d) g
b
Suppose 4*s - 10*s - 12 = 0. Which is the third smallest value? (a) -5 (b) s (c) -1/4
c
Let o = 5.5 + -9.5. What is the third biggest value in -3/8, o, 0.4?
o
Let s = -0.3 + 0.8. Let g = 0.05 + -0.45. Let b = -0.29 + 0.39. What is the third smallest value in g, b, s?
s
Let y(i) = i - 9. Let u be y(5). Let p be -1*(24/(-14))/u. Which is the second smallest value? (a) p (b) 0.4 (c) 0.5
b
Let u be 2 + 3 + 1 + -1. Which is the second biggest value? (a) -9/4 (b) -4 (c) -1/8 (d) u
c
Let k = -2.92 + 3. Let x = k + 0.32. Which is the third biggest value? (a) -0.4 (b) x (c) -4
c
Suppose -16 = 5*m + o, 4*m + 4 = 4*o - 4. Let g = -4/79 - 217/395. Which is the smallest value? (a) m (b) 1 (c) g
a
Let m = 0.6 - 0.1. Let j = -1.7 + 1.59. Let k = j + -3.89. Which is the third biggest value? (a) 1/4 (b) m (c) k
c
Let m = -19 + 15. Which is the smallest value? (a) 3/11 (b) 2/3 (c) m
c
Let u = 0.18 + 0.02. Which is the third smallest value? (a) u (b) 3 (c) 0
b
Let z = -3.82 + -0.18. What is the fourth biggest value in z, 0, -0.1, 8?
z
Suppose -4*t = 4, 4*y + t - 9 = 2*t. Let r be (-10)/5 + 1*y. Suppose 0*w - 2*w = 10. Which is the smallest value? (a) w (b) r (c) 5/2
a
Let n(x) be the first derivative of -2*x**3/3 - 3*x**2/2 + 4*x - 1. Let m be n(-3). Let h = -4.36 - -4.16. What is the third smallest value in -3, h, m?
h
Let n(m) = m**2 + 4*m. Let w(o) = -2*o + 4. Let f be w(4). Let s be n(f). Let k = 46 - 51. What is the second biggest value in 0.2, s, k?
s
Let z = -1 - -1. What is the biggest value in -4, 0.5, z?
0.5
Let s = -13 - -23. Let n = s + -5. Which is the second smallest value? (a) -0.1 (b) -0.3 (c) n
a
Let w = -3.61 - 0.09. Let f = -0.3 + w. What is the third smallest value in f, -2, -5?
-2
Let y = 409/2 - 207. Let o = 0.5 - 0.1. Which is the second biggest value? (a) 3 (b) y (c) o
c
Let i = -0.1 + -0.4. Suppose -g = -t + | {
"pile_set_name": "DM Mathematics"
} |
z)*(2*z**2 - 2*z**2 - 9*z**2).
-27*z**3 + 9*z**2
Expand 6*g**3 - 27*g + g**2 + 27*g + (2*g - 4*g + 3*g)*(-63*g + 4*g**2 + 63*g).
10*g**3 + g**2
Expand 29*j + 4*j + 4*j + 2*j + 3 - 3 + 5*j - 3*j - j + (2*j - 5*j + 4*j)*(1 + 5 - 4).
42*j
Expand (4*t**3 - 2*t**3 - 3*t**3)*(-4*t**2 - t**2 + 3*t**2) + (3 - 3 + t)*(t**4 + 2*t**2 - 2*t**2).
3*t**5
Expand 3*p**2 - 4*p**2 - 2*p**2 + 3*p**2 + p**2 - 3*p**2 + (3*p - 7*p + 2*p)*(-1 + 1 + 2*p) - 753 + 753 - 54*p**2 + p**2 - 3 + 3.
-59*p**2
Expand (-3*j + 4*j + 5*j)*(-28*j**3 + 30*j**3 + 40*j**3) + 4 - 4 + j**4.
253*j**4
Expand -1 + u**3 + 1 + (u**2 + 5 - 2*u**2 - 3)*((4*u - 2*u + 7*u)*(-1 + 1 - 1) + 0*u + 5*u - 2*u + 7*u - 3*u - 7*u).
10*u**3 - 18*u
Expand (1 + 4 - 3)*(p + 4 + 5 - 6) + (2 - 2 - 1)*(-p - p + 3*p) + 10*p - 4*p - 7*p + (-2 - p + 2)*(4 - 5 + 2).
-p + 6
Expand (-40 + 20 - 191)*(-d + 3*d + 0*d).
-422*d
Expand (2*w**3 + w**3 + w**3)*(2 - 2 + 2) + (-69 - 2*w**2 + 33 + 10*w + 38)*(-3*w + 0*w + 4*w).
6*w**3 + 10*w**2 + 2*w
Expand (-2*x**3 - x**3 + 0*x**3)*(-6*x**2 - 2*x**2 - x**2) - x**3 - 6*x**5 + x**3 + (-3*x**4 + 3*x**4 + x**4)*(-2*x - 1 + 1).
19*x**5
Expand (0*p**3 - p**4 + 0*p**3)*(-p - 1 + 1 + (1 + 1 - 4)*(0*p - 2*p + p) + p - 2 + 2 - 4*p + 0*p + 2*p + 3*p - 2*p + 0*p - 429*p + 171*p - 506*p).
763*p**5
Expand (0*q**4 - 6*q**4 + 3*q**4)*(1 - 5 - 18*q + 16*q).
6*q**5 + 12*q**4
Expand -2*f - 5*f**3 + 4*f**3 + f**4 - 3*f**4 + (-6 - 3 - 11)*(-2*f**3 + f**4 + 2*f**3).
-22*f**4 - f**3 - 2*f
Expand (l + 5*l - 2*l + (-1 - 2 + 1)*(l + l - 3*l) - 3*l - 2*l + 0*l)*(2 - 2 + 6).
6*l
Expand (4 + 2 - 5)*(74 + 2 - 1)*(7*y**4 + 2*y**4 - 4*y**4).
375*y**4
Expand (-49*w**2 - 120*w + 119*w - 18*w**2)*(-2*w**3 + 0*w**3 + 0*w**3).
134*w**5 + 2*w**4
Expand (0*p**3 - 2*p**3 + 0*p**3)*(-2*p - 17 - 1 - 15)*(0*p + 0*p - 2*p).
-8*p**5 - 132*p**4
Expand -3 + j**3 + 3 + 4*j**3 + 3*j**3 - 5*j**3 + (0*j - 3*j + j)*(j**2 - 6*j**2 + 3*j**2) - 3*j**3 + 3*j**3 + 2*j**3 + j**3 + 0*j + 0*j + 168 - 252*j**3 - 168.
-242*j**3
Expand -192*l**2 + 114*l**2 - 269*l**2 + (2*l - l + l)*(-1 + 1 - 2*l).
-351*l**2
Expand 7633*t + 949 - 317 - 317 - 315 + (3 + 1 - 5)*(2*t - 1 + 1).
7631*t
Expand (5*l**5 + l**5 - 9*l**5)*(0 + 5 - 10).
15*l**5
Expand -2 + 2 + c - c + 2*c + c + (3 + 2 - 3)*(29*c - 80 + 80) + 2*c + 2*c - 5*c.
60*c
Expand (122 + 137 - 56)*(-2*k - k + k)*(-3*k + 3*k + k**4).
-406*k**5
Expand (374*r - 374*r + 64*r**3 - r**2)*(0*r**2 - 3*r**2 - 2*r**2).
-320*r**5 + 5*r**4
Expand (-2*c - 5*c + 5*c)*((6 - 2 - 3)*(-c + c - 2*c**2) - 136187 + 136187 - 461*c**2).
926*c**3
Expand (9 + 99*u - 9)*(0 + 6 - 4).
198*u
Expand (-n + 2*n - 3*n)*(0 - 3 + 4)*(0 - 4 + 1)*(-2 + 3 - 2).
-6*n
Expand (1 + 0 + 2)*(-3*h**3 - 10*h**3 + 18*h**3) + h**3 + 2*h**3 - h**3.
17*h**3
Expand 9*l**5 + 2*l**3 + 156*l - 156*l + (-3 + 3 + l**2)*(5*l**3 - 3*l**3 - l**3).
10*l**5 + 2*l**3
Expand (-2*l + 2*l**3 + 2*l)*(2*l - 19*l + 7*l) - 4*l - 3*l**4 + 4*l + (2*l**2 - 2*l**2 - 3*l**2)*(-l**2 + 0*l**2 - 2*l**2).
-14*l**4
Expand (b + b + 0*b)*(-2 + 2*b + 2)*(-1 + 1 - 2*b - 11*b + 16*b - 49*b + 0*b + b - 2*b + (-1 + 0 + 3)*(-4*b + 5*b + b)).
-172*b**3
Expand (3 - 6 - 2)*(t**3 - t**3 - 6*t**3).
30*t**3
Expand (0 + 1 + 1)*(5*b - 4*b + b) + 2*b - 3*b - b + 13 - 18 - 14*b + 16*b.
4*b - 5
Expand (d**3 - 2*d**3 - d**3)*(2*d - 3*d + 4*d + (2*d + 2 - 2)*(-2 - 5 + 4)) - 421*d**3 + 21*d**4 + 421*d**3.
27*d**4
Expand (-4*v + 3*v + 0*v - 3)*(62 - 62 - 46*v**2 + (2*v + 4*v - 5*v)*(v - 3*v + 4*v)).
44*v**3 + 132*v**2
Expand (-1 + 4 - 5)*(4 - 3 + 1)*(-10 - 4 - 6)*(7*m + 5*m - 8*m).
320*m
Expand (c**2 + 3 - 3)*(-c - 4*c - 5*c) + 2*c**3 - 6*c**3 - 7*c**3 + (4*c**2 - 4*c**2 + 2*c**2)*(-2 + 2 - c).
-23*c**3
Expand (-2*d - 2 + 2)*(33 + 8 + 0)*(2 + 3 - 6)*(-3 - 2 + 3)*(2 - 2 + 2*d**3).
-328*d**4
Expand -2*h**2 - h**2 + 4*h**2 + (13*h**2 - 2*h**2 + h**2)*(4 + 2 - 7) + (-h - 4 + 4)*(0 - h + 0) + 0*h**2 + 4*h**2 - 2*h**2 + 0*h**2 + 0*h**2 + h**2.
-7*h**2
Expand (81*b + 37*b - 223*b)*((2*b**2 - b + b)*(-5*b**2 + 3*b**2 + b**2) + 0*b**4 + 2*b**4 - 3*b**4 + 0*b**2 - 2*b**4 + 0*b**2).
525*b**5
Expand a**5 + 3*a**5 - 3*a**5 + 5*a**5 - 3*a**5 - a**5 + (a**3 - 2*a**4 - a**3)*(-6*a + 3*a + a) + (0*a**2 + 0*a**2 + 2*a**2)*(175*a + 21*a**3 - 175*a).
48*a**5
Expand 0*s**5 - 3*s**5 + s**5 + (0 - 1 + 3)*(3*s**5 + s**5 - s**5) + 1 - 1 - s**5 + (0*s**4 + 0*s**4 - 2*s**4)*(-2 + 2 + 12*s).
-21*s**5
Expand 0*p**2 + p**5 + 0*p**2 + (p**3 + 0*p + 0*p)*(-2*p**2 + 2*p - 2*p) - 169*p**5 + 7380*p**2 - 7380*p**2.
-170*p**5
Expand 0*p**5 + p**5 - 2*p**5 + (-5*p**2 - 6*p**3 + 5*p**2)*(25*p**2 - 21*p**2 + 11*p**2).
-91*p**5
Expand 78*v**4 + 66*v**4 + 127*v**4 + (0 + 0 + 2*v)*(4*v**3 - v**3 + v**3).
279*v**4
Expand 358*w - 356*w + 0*w**4 + 4*w**4 + w**4 + 0*w**3 + 0*w**3 + (-3 + 0 + 1)*(-6*w**4 + 3*w**4 + 2*w**4).
7*w**4 + 2*w
Expand -460*q - 75*q**3 + 460*q + (-q**3 + 0*q**3 + 3*q**3)*(6 + 0 + 2).
-59*q**3
Expand (-3*v**3 + 0*v**3 - v**3)*(-2 - v**2 + 2) + (-1 - 2*v**2 + 1)*(4*v**3 - v**3 - 5*v**3 + (2*v - 10*v + v)*(v**2 - 2*v**2 - v**2)).
-20*v**5
Expand (-4*l**3 + l**3 + l**3)*(3 - 2 + 82*l**2 - 70*l**2).
-24*l**5 - 2*l**3
Expand (21*k**4 + 4*k**4 + 0*k**4)*(-6 + 2 - 2).
-150*k**4
Expand (-3*t + 6*t - 2*t)*(-3 + t + 3) + (2*t**2 - 1 + 1)*(-2 - 1 + 5) + 92936 - 92936 - 216*t**2.
-211*t**2
Expand 0*u - u + 3*u + (-3 + 2 - 1)*(-10*u - 13*u + 2*u) + 3 - 3 + u + (u - 4*u + 4*u)*(1 + 2 - 1) + u - u + u + u + 1 - 1.
49*u
Expand (6 - 11 - 10 + (0 + 6 - 4)*(3 - 1 - 4))*((2 - 2 + 1)*(-u - u + 4*u) + u + 4 - 4).
-57*u
Expand (s + 2*s - 2*s)*(-2*s**3 + 2*s - 2*s) + (-4*s**3 + s**3 + 7*s**3)*(-3*s - 3*s - 1 + 5*s).
-6*s**4 - 4*s**3
Expand -y + 3*y + 0*y + 4*y + y - 4*y - 3*y - y + 3*y + (4*y - y - 2*y)*(7 - 2 - 3) + y + y - y - 6*y - 18*y + 7*y - y - 1 + 1 + (2 - 1 - 3)*(-2*y + 1 - 1).
-9*y
Expand (5*n + 0*n - 3*n)*(510 - 7 + 825 + 117 + 125).
3140*n
Expand -3*z + 4*z + 0*z + (-12*z - 28*z + 20*z)*(-2 + 1 - 1) - 4*z + 4*z - z - 2*z + 3 - 6 + 7*z.
45*z - 3
Expand (-9*o + 9*o - 29*o**3)*(0*o**2 + 2*o**2 + 0*o**2) + 3*o**5 - o**5 + 0*o**5.
-56*o**5
Expand (-a**2 - a**2 + 6*a**2)*(-137 + 6*a**2 + 137 - a).
24*a**4 - 4*a**3
Expand (0*v**3 + 0*v**3 - 3*v**3)*(-145 + 12*v**2 + 145 - v).
-36*v**5 + 3*v**4
Expand (3*r**2 - 2*r**2 + 0*r**2)*(-17254*r + 8178*r + 7773*r).
-1303*r**3
Expand (-10 + 12 + 1248*d - 1209*d)*(2*d**3 - d**3 + d**3).
78*d**4 + 4*d**3
Expand ((0*l - l**3 + 0*l)*(-2*l - 2*l + 2*l) - l**4 + 2*l**4 + 2*l**4 - 3*l**4 + 0*l**3 + 0*l**3 + 1 - 1 - l**4)*(-7 - 6 - 6).
-19*l**4
Expand 178 - b**4 - 178 - 61*b + b**4 - b**4 - 2*b**4 + (5 - 5 - 2)*(2*b**4 - 2*b**4 + b**4) + 2*b**4 - 4*b**4 + 3*b**4 - 2*b**4 - 2*b**4 + 3*b**4.
-5*b**4 - 61*b
Expand 3*a + 2*a - 2*a + (0 + 0 - 2*a)*(4 - 4 + 1) - 4*a + 0*a + 2*a - a + 4*a - 4*a - 32 + 32 + 104*a.
102*a
Expand 8*k**4 - k**4 + 0*k**2 - 2*k**2 + (-1 - k + 1)*(-2*k**2 + 2*k**2 - k**3) + (2*k**3 - 2*k**3 + 2*k**4)*(-3 + 1 - 2) + 18*k**4 - 5*k**4 - 6*k**4.
7*k**4 - 2*k**2
Expand (-w**5 - w**5 + 3*w**5)*(-408 - 401 - 65).
-874*w**5
Expand (5*k - 3*k - 3*k)*(0 - 8 + 3) - 4 + 4 - 2*k + (-3*k + 6*k - 4*k)*(3 + 2 - 3).
k
Expand -z**3 + z**3 - z**4 + (6 - 1 - 4)*(-2 + 2 - 2*z**4) + (z + 2*z - 4*z - 7 + (33 - 33 + 9*z)*(3 - 2 + 1))*(z**3 + 3 - 3).
14*z**4 - 7*z**3
Expand (0*x**2 - 2*x**2 + 0*x**2)*(x - 1 + x - x)*(0 - 5 + 0) + (-5*x**2 + 3*x**2 - x**2)*(0*x + 2*x - 3*x).
13*x**3 - 10*x**2
Expand (-2*f**3 + 3*f**2 - 3*f**2)*(-18*f + 41 - 41)*(-5 - 7 - 7).
-684*f**4
Expand (w**3 - 2*w**3 - 2*w**3)*(22*w - 16*w + 9*w) + ((2 - 1 + 1)*(-3 + 2*w + 3) + w + 1 - 1)*(w**3 + 3*w**3 - 3*w**3).
-40*w**4
Expand (0 + 3 - 1)*(7*w - 4*w + 4*w)*(-4 + 0 - 4)*(1 - 2 + 2).
-112*w
Expand (2*d**2 + 2 - 2)*((-2 + 0 + 3)*(-3 - 1 + 3) - 5 - 10 + 4).
-24*d**2
Expand 192*r**2 - 192*r**2 + 22*r**5 + (-2*r**2 + 2*r**2 + 3*r**3)*(-4*r - 2*r**2 + 4*r).
16*r**5
Expand (-4*o - 2*o + 5*o)*(322 + 598 + 96 - 178).
-838*o
Expand 3 - 5 + 1 - 3*g + (-9 + 14 + 7)*(21*g - 636 + 636).
249*g - 1
Expand (y**2 - 3*y**2 + 5*y**2)*(-204 + 357 - 205).
-156*y**2
Expand 2*z**2 - 4*z**2 + 3*z**2 + 5*z**2 + 0*z**2 - 3*z**2 + (7 - 2 + 5)*(-z**2 + 0*z**2 + 0*z**2).
-7*z**2
Expand (-3 + 0 - 2)*(77*g - 350*g + 7 - 6).
1365*g - 5
Expand (-3*y**3 - y**3 + 5*y**3)*(8*y**2 + 0*y**2 - 303*y + 259*y).
8*y**5 - 44*y**4
Expand (0 + 0 - n)*(-1 + 1 + 2*n) + 2*n**2 | {
"pile_set_name": "DM Mathematics"
} |
x(-63) composite?
False
Suppose 0 = 27*q + 4302096 + 777144. Is (-3)/(5/(q/24)) composite?
False
Let y(i) = 8374*i**2 - 50*i + 65. Is y(-9) a composite number?
False
Is (170/(-150) - (-14)/105) + 59498 a composite number?
False
Is (2 + -95616)*(102/(-12) - -8) prime?
True
Let t(z) = 77*z - 118. Let k be t(-36). Let u = 6483 + k. Is u composite?
False
Let f = 3303 - -3104. Let l = -1236 + f. Is l prime?
True
Let y = 6894 + 18668. Is y composite?
True
Let t(g) = 7*g - 54. Let j be t(22). Let n be (-5)/((-20)/8)*j. Let m = n + -55. Is m a composite number?
True
Suppose 79*z - 47*z = 2793632. Is z composite?
True
Suppose 0 = 5*n - 5, m + n = 3*n + 1. Suppose -9*s + 24 = m*s. Is -6459*4/(-6)*1/s a prime number?
True
Suppose b = -b - 4*o, 5*b + 18 = -4*o. Suppose -5*j + 5640 = j. Is 4/3 - (3 + j/b) prime?
False
Let g = -68 - -281. Let r = g + 1588. Is r prime?
True
Let j(n) = 11*n**3 + 75*n**2 + 41*n - 116. Is j(19) composite?
True
Let s = -31 - -54. Let d = 19 - s. Let f(r) = -3*r**3 - 2*r**2 - r + 5. Is f(d) prime?
False
Let w = 1880 + -6149. Is (4/4)/((-1)/w) prime?
False
Let o(z) = -7*z**2 - 3*z - 5. Let w be o(-2). Let q be (-38855)/(-9) - (2 - (-48)/w). Is (4/4)/(-1 - (-4320)/q) a composite number?
False
Suppose -4*s + 1 = 5. Let b be (1 - (-49 - 0))*s. Let j = b + 309. Is j a prime number?
False
Let h = 10861 + -6284. Is h prime?
False
Suppose -5 = 5*p - 30. Suppose -p*m + 4042 = -3*s, 4*m = -s + 1820 + 1417. Is m a prime number?
True
Let y be (243/(-54))/(3/(-6)). Suppose y*j - 68032 = -23*j. Is j a composite number?
True
Suppose -82 = -5*o - 4*g, 6*o - 5*o = -3*g + 12. Is (-3)/((-36)/86840) + 6/o composite?
False
Suppose -2*o + 3*t + 1154617 = 0, 10*t = 3*o + 12*t - 1731919. Is o prime?
True
Suppose -19*w - 492762 = -25*w. Is w composite?
True
Let b(z) be the second derivative of -4357*z**3/6 - 149*z**2/2 - 6*z + 2. Is b(-4) prime?
False
Suppose -c = -2*u + 82713, 24*u - 29*u + 206784 = -c. Is u a prime number?
True
Let f be (104/(-120))/(1/(-18))*5. Let a = 69 - f. Let l(c) = -5*c**3 + 6*c**2 + 14*c + 34. Is l(a) prime?
False
Let m be (-10694)/14 - (-6)/(-42). Let n = 1083 + m. Is n prime?
False
Suppose -23*z + 3*z - 102700 = 0. Let a = z - -12496. Is a prime?
False
Let v = 487856 + -157735. Is v a composite number?
True
Let q be (-4944)/(-45) - 16/(-120). Suppose q = 4*f + f. Suppose 104 - f = m. Is m a prime number?
False
Let y be (154/42 - 4)*-33. Suppose -45353 = -2*q + 5*p, 3*q + q - p - 90751 = 0. Suppose -q = 2*h - y*h. Is h a prime number?
True
Suppose u - 5 = -q, 5*q - 17 = u + 2*u. Let b be 322 - q - (-3 + 0). Suppose 464 = 3*i + 4*p - 2*p, p + b = 2*i. Is i composite?
True
Is (-62526765)/(-105) - (-1 + 13) prime?
True
Let p be (1/(-3))/((-6)/170928). Let u = -5447 + p. Is u composite?
False
Let w(d) = -17*d**3 - 40*d**2 + 29*d + 85. Is w(-24) composite?
True
Suppose 0 = -4*d + v + 22150 + 11848, 5*d = v + 42499. Is d composite?
False
Let f(j) = 158492*j - 1851. Is f(7) prime?
True
Is ((-1083)/(3 - 60))/(16708/16706 - 1) prime?
False
Let s = -1178 - -2618. Let x be ((-21)/14)/(6/(-8)). Suppose 5*q - 2249 = -x*c + s, -q = -2*c + 3695. Is c a composite number?
False
Is (4/3)/((-1120)/(-615801480)) prime?
True
Let f be 45/12*(-840)/(-18). Let y = -62 + f. Is y a composite number?
False
Is (-2 + 5 - (-90584)/5)/(21/105) prime?
True
Let y(x) = -2*x**3 + 68*x**2 - 103*x + 12. Is y(19) prime?
False
Is 590/(-120) + 5 + (-643170)/(-72) a prime number?
True
Suppose -4*l - 5*d + 81 = 9, 2*d - 54 = -3*l. Let z(j) = -j**3 + 21*j**2 + 33*j - 1. Is z(l) a composite number?
True
Let c(u) = -u**3 - 6*u**2 + 16*u - 5. Let f be c(-9). Suppose 4*i + i = 0, 2*p - f = 5*i. Is p composite?
False
Let o = -52791 + 89977. Is o a composite number?
True
Suppose -3*b + 0*v + 44383 = -4*v, 3*v = -5*b + 73933. Is b a composite number?
True
Suppose 151*c = 169*c - 892548. Is c prime?
False
Let w(i) = 49*i**2 - 76*i - 119. Is w(-20) a prime number?
True
Suppose -14*r + 18*r - 24 = -4*g, g - r - 16 = 0. Suppose 10067 = 3*a - 9*m + g*m, 0 = -a + 2*m + 3345. Is a a prime number?
False
Let s = 1127736 - 643429. Is s a prime number?
False
Let l = -9798 + 18258. Suppose o - 5*u = 2124, 0*o - 2*u = -4*o + l. Suppose 4*y = 6*y - o. Is y composite?
True
Let h(p) be the third derivative of -p**6/6 - 11*p**5/60 - 7*p**4/12 - 20*p**3/3 - 38*p**2. Let y be h(-7). Let u = y + -3800. Is u composite?
False
Let g = 366 - 364. Suppose z - i - 626 = 0, -4*i + i - 1247 = -g*z. Is z a composite number?
False
Suppose -5*g = 5*w + 60, 3*g = 4*g + 5. Let l = 7 + w. Suppose l = y - 0*y + 4*i - 461, i = -5. Is y a composite number?
True
Suppose -5*f - 21 = -41. Suppose -f*i - 24 = -10*i. Suppose 236 = z + o, -5*z - 5*o + i*o + 1184 = 0. Is z a prime number?
False
Let g(f) = -23558*f**3 - 30*f**2 - 69*f - 11. Is g(-4) composite?
True
Let u = 282351 - 153802. Is u prime?
True
Let j = -86183 + 277182. Is j composite?
True
Is 136/476 - (-199398)/14 prime?
True
Suppose -o - 5*a = -2 + 5, 5*o + a = 81. Let m be (-1 - 102)*13/(52/(-8)). Let f = m + o. Is f a prime number?
True
Suppose 901 + 1163 = 4*m + 4*x, -3*m - 2*x + 1546 = 0. Suppose 2*a - o - m = 0, 5*a + 17*o - 22*o - 1285 = 0. Is a composite?
False
Let i(r) be the second derivative of -3*r**5/20 - 21*r**4/4 - 7*r**3/2 + 77*r**2/2 + 29*r - 3. Is i(-32) a composite number?
True
Let d(j) = 277*j - 199. Let p(r) = -139*r + 101. Let g(t) = -4*d(t) - 7*p(t). Is g(-20) a composite number?
False
Let v = 18 + -30. Let p(a) = -3*a**3 + 4*a - 3. Let y be p(1). Is (-1815)/y - v/(-24) a prime number?
True
Let p(u) = -u**3 + u**2 + u + 6. Suppose -9*m + 4*m = 0. Let g be p(m). Is 4/(-6) - (-8278)/g a composite number?
True
Let d(c) = -68*c + 9155. Is d(-16) a composite number?
False
Suppose -2267894 = -18*q - 604352 + 1056636. Is q a prime number?
True
Let z = 164 + -169. Let m(w) = -116*w**3 + 3*w**2 - 13*w - 7. Is m(z) prime?
True
Suppose 0 = -5*q, 5*a + 4*q + 20 = 6*q. Let t(y) = -79*y**3 + 9*y**2 + 44*y + 9. Is t(a) prime?
False
Suppose 8*k + 0 - 24 = 0. Suppose 2*w + k*p = 4043, -5*p = w - 0*p - 2032. Is w prime?
True
Let u(h) = 104*h**2 + 7*h - 8. Suppose -2*d = n + d, 2*d + 34 = 5*n. Is u(n) a prime number?
False
Is -20 + (17791 - (-6 + -6)) a composite number?
False
Let o(a) = -a**3 + 155*a + 1 - 2*a**2 + 150*a - 302*a. Is o(-9) a composite number?
False
Let d(c) = -4*c + 19. Let n be d(19). Let s = n + 1625. Suppose 3*g = -p + 1170, -4*g + 2*p = 6*p - s. Is g prime?
True
Let c = -517333 - -751374. Is c a prime number?
False
Suppose -y = -5*n - 27, -5*y + y = 5*n - 33. Let i(a) = -4 - 11 + 163*a - y. Is i(8) a prime number?
True
Is 43 + -33 - (-44345 - -4) a composite number?
False
Let n(d) = 133*d**2 - 35*d + 8715. Is n(-119) composite?
True
Suppose -29*z + 42 = -26*z. Suppose z*x - 2*x - 71052 = 0. Is x prime?
False
Let s be (3/(-5))/(3/(-15)). Suppose a - 2668 = -s*a. Let r = -290 + a. Is r composite?
True
Is (2 - (-3 + (-137572)/8))/(2/4) composite?
False
Suppose 11508 = 6*t - 11574. Is t prime?
True
Suppose 0*a = 2*a + a. Suppose 5 = -a*q + q. Suppose -1426 = -i + 3*m, -4383 = -q*i + 3*m + 2735. Is i a prime number?
True
Let y = 673 - 638. Is (-1)/7 - (-412690)/y prime?
False
Suppose v + 24371 = -116. Is v/(-4) + (-7)/(-28) prime?
False
Let y = -14480 + 25817. Suppose 7*l - 1844 = y. Is l a prime number?
False
Let q(l) = 2*l**2 + 13*l + 13. Let b be q(-6). Let d(o) = 8*o**3 - 8*o**2 + 22*o - 9. Is d(b) composite?
True
Let y = 71 - 67. Suppose -3*f + 8*f + 5025 = y*l, -4*l = -4*f - 5024. Is l composite?
True
Let k be 6/(-15) + 924/(-15). Let s = 71 + k. Is ((-6414)/s + 3)*6/(-2) composite?
False
Suppose 4*o - 7*o - 2*w + 739 = 0, 2*w = 3*o - 731. Let a(i) = 4*i - 88. Let s be a(0). Let l = s + o. Is l prime?
True
Let o(j) be the third derivative of 7*j**5/3 + 19*j**4/24 - 13*j**3/3 - 86*j**2. Is o(-9) composite?
True
Suppose -7*q = 11*q - 607517 - 10355257. Is q a prime number?
True
Let n(k) = k**3 + 2*k + 413. Suppose 5*u - 4 = 7*u. Let y(x) = 5*x**3 + 11*x + 2064. Let p(q) = u*y(q) + 11*n(q). Is p(0) composite?
True
Suppose -7*n + 9*n = 2. Let z be 382/n - 24/(-12). Let k = z - 197. Is k a prime number?
False
Let b = -66688 + 158525. Is b a prime number?
True
Let g = -1361229 - -2089598. Is g a prime number?
True
Let k(i) be the se | {
"pile_set_name": "DM Mathematics"
} |
t is the value of -20 - ((95 - 102) + (1 - -9))?
-23
Evaluate (-1 - (-3 + -16 + 4)) + -7 + -19.
-12
(-1109 - -1094) + (-8 - -1)
-22
Calculate -3 + (-17 - -4) + 6.
-10
Calculate (-13 - (43 - 83)) + (-11 - (-2 - -1)).
17
(1 - -41) + (-301 - -279)
20
Calculate (-12 - -12) + -10 + 6 - (-5 - -2).
-1
Calculate (63 - 87) + (21 - -8).
5
Calculate (-8 - -11) + -17 + 3.
-11
-1 - (-4 + -12 - (-11 - -12))
16
What is the value of 3 + (-9 - ((-5 - -2) + (-7 - -16)))?
-12
What is -23 + (51 - 32) - 5?
-9
What is 1 - 4 - -3 - (6 - 5)?
-1
What is the value of (-19 - (22 - 59)) + 8 + -1?
25
What is the value of 3 + -5 + (9 - (-12 - -27))?
-8
Calculate (56 - 32) + (-10 - -2) + -1 + 0.
15
What is the value of -3 - (1 + -7) - 1 - 1 - -4?
5
What is 4 - (-14 - -2 - -12)?
4
(-77 - -69) + 18 + -1 + 2
11
What is the value of 2 + 29 + -15 + -41?
-25
What is 2 + -29 - (-7 - 7)?
-13
What is 11 + -4 + 4 + -1 + -7?
3
Calculate (13 - 4) + -3 + 11.
17
Evaluate 18 + -8 + 25 + -50.
-15
What is the value of 1 + -1 + (1 - 1) + -109 + 75?
-34
What is -2 + 16 + 1 + (-6 - -2)?
11
What is 12 - (41 - ((2 - (3 - 10)) + -9))?
-29
What is 0 + 10 - ((17 - 6) + -17 + 4)?
12
What is 12 + (-30 - (-9 - 4) - -8)?
3
7 - (-11 + 8 + 23)
-13
Evaluate 72 + -52 - (5 + -10).
25
What is 2 - (-9 + -6 - (-6 - 0)) - 7?
4
Calculate (-48 + 16 - -22) + 33.
23
Evaluate 29 + (-25 - -32) + -11.
25
What is the value of (6 - 15) + (30 - 6) - (-14 - -2)?
27
What is 13 - 0 - (-3 - (5 + -8))?
13
What is (-15 - -4) + 6 + (-4 - (-20 - -10))?
1
What is the value of 760 + -748 - (3 - (2 - (3 + 1)))?
7
Evaluate 20 + -8 + -5 + 7 + (-2 - 1).
11
4 + -1 - (26 + -11)
-12
What is the value of 9 - (9 - 42) - 35?
7
Calculate ((2 - 10) + 6 - -9 - 4) + -8.
-5
20 + -9 + (-2 - (-5 + 2))
12
Calculate 62 + -48 + (0 - -14).
28
What is the value of 3 - ((-4 + 5 - 18) + 10)?
10
What is the value of 0 - (-4 + 7 + -1) - 3?
-5
What is 17 - (12 + (-9 - -7)) - 11?
-4
What is the value of 13 - (28 + (-31 - -3))?
13
4 - (1 + (0 - (-7 + (4 - 1))))
-1
Evaluate ((13 - 4) + 0 + -1 - 33) + 6.
-19
What is (3 - (17 - 18)) + (-17 - -1)?
-12
What is the value of 166 - 137 - (21 + -2)?
10
What is the value of (0 - -3) + -3 - -11 - (-293 - -286)?
18
Calculate -30 + 29 + 15 - 4.
10
What is -14 - 3 - (-238 - -224)?
-3
Calculate 215 - 200 - (17 + 2).
-4
Evaluate -42 - (-40 - -16) - -34.
16
What is the value of 27 + -30 + 5 + (0 - -8)?
10
What is the value of -18 + -3 + 34 + -4?
9
What is (-2 - (-7 + 4 + 2)) + 3 + 4?
6
Calculate (0 + -9 - (-5 + -2)) + 16.
14
What is the value of 2 - (-3 - (-8 + (11 - -2)))?
10
Calculate (2 - (-4 - 1)) + -1 - (-2 + 4).
4
Calculate 7 + -1 + 13 + -31.
-12
Calculate 28 + (13 + (-6 - -2 - 8) - 4).
25
(17 - (22 + -21)) + (1 - (-1 - -8))
10
Calculate -39 - (-13 - -10) - (-4 + 3 + -2).
-33
What is the value of -37 - (-19 - (19 - 21 - (9 - 2)))?
-27
Calculate -11 + -1 - ((-1 - 3) + (3 - 5)).
-6
Evaluate -242 + 237 - (14 + -2).
-17
-8 - ((-20 - -11) + -5) - 1 - -19
24
What is the value of (-3 + 2 - -17) + -2?
14
What is the value of 5 + -2 + 3 + (5 - 4)?
7
What is -16 + 13 - (-12 - (8 - 15))?
2
What is 23 + -30 + -2 + -3 + -5 + 10?
-7
Calculate 25 + -2 + -35 + 24.
12
What is 16 + -10 - ((44 - 26) + (-6 - 1))?
-5
What is (0 - -1) + (5 + (-11 - -11) - 7)?
-1
What is 8 + (-7 - (-4 + 14))?
-9
0 + 2 + 23 + -18 - (-1 - 0)
8
-29 + 2 - (-8 - (-2 - 5))
-26
What is 3 - (9 - (2 - -8) - (-1 - -1))?
4
Calculate 0 + 9 + -2 + 5 + -1.
11
Evaluate (-12 - -11) + 0 + -1 + 4.
2
What is 11 - (-14 + 5 - -13)?
7
What is -9 + (-7 + -8 - -3)?
-21
What is the value of -12 + (19 - (-10 + 11)) - 26?
-20
What is 8 + (1 - 0 - 7) + -12 + 7?
-3
Evaluate 3 + (8 + -14 + 1 - (-2 - 1)).
1
Evaluate 34 + (22 - 76) + 23.
3
4 + -5 + 2 - 3 - (100 - 108)
6
Calculate 2 - (-9 - (12 - 20)) - (9 + -1).
-5
What is the value of -28 + (-13 - (-13 + -11 + 5))?
-22
Evaluate (0 - 10) + 41 + -28.
3
Evaluate (13 - (-42 - -15)) + -30.
10
Calculate -3 + (-32 + 39 - (0 + 0)).
4
Evaluate -5 - (0 + 1 + (-20 - (-22 + -1))).
-9
Evaluate -14 + 1 + 20 + -9.
-2
Calculate 10 + (12 - (-12 - (12 - 21))).
25
What is -5 - (-3 + (-1 - -2) - 4)?
1
What is the value of 21 - (1 + (8 + 2 - 10))?
20
What is (34 - (-26 - -52)) + 1 + 9?
18
Evaluate 0 + (8 - 1) + (-1 - 14).
-8
What is the value of 8 - -27 - -32 - 30?
37
Evaluate (-10 - (-11 - (14 + -17))) + (-2 - -16).
12
What is (2 - 7 - -3) + 9 + (11 - 8)?
10
Evaluate ((23 - 6) + 0 - 16) + -17.
-16
What is the value of 8 - (-7 + (10 + -7 - (-4 - 20)))?
-12
What is (8 - (17 + 3 + 2 + -7)) + -3?
-10
Calculate -2 + 11 + (5 + -6 + 4 - -2).
14
Evaluate -3 + -8 - ((-14 - -11) + 14).
-22
(7 - 41) + (-4 - -65)
27
What is the value of (-14 - 7) + (-37 - -47)?
-11
What is -54 + 30 - (-22 - -4)?
-6
What is the value of -14 + (21 - (7 - 1))?
1
29 + -48 + 16 + (0 - 8)
-11
Evaluate -3 + 10 + 0 + -1 + -2 + -1.
3
What is -18 + 12 - (25 + -19)?
-12
What is (5 - -12) + -28 + 7?
-4
What is the value of -73 - -54 - (-1 + -11)?
-7
Calculate 562 + -569 + 0 + 1 + -2.
-8
Evaluate 13 + -1 - (448 - 436).
0
Evaluate 6 + (17 - 10) - (0 - (-1 - -4)).
16
Evaluate -5 + (133 - 136) + (-2 - (-2 - -1)).
-9
What is the value of 5 + -1 + -11 + -7 + 9?
-5
What is the value of 5 + -10 - (3 - 0) - (8 - 23)?
7
Evaluate -24 - -22 - 12 - (2 - 1).
-15
7 - (11 - (10 + 1))
7
What is the value of 5 + (-23 - -15) - -4?
1
What is (5 - -2) + (-33 - (17 - 34)) + 11?
2
Evaluate 0 - (-25 - (6 - 26)).
5
Evaluate 1 + (-9 + 18 - (-1 - 3 - -8)).
6
Evaluate 26 + -1 + (0 - 4) + 3 + -2.
22
-1 + -1 + -1 - 2 - (-8 - -2)
1
(13 + (8 - 10) - 28) + 7
-10
10 - (2 - -6) - -16
18
Calculate (1 - 9) + (2 - 2) + (4 - -42).
38
What is (-4 - 4 - (-3 + 6)) + 8?
-3
Evaluate 28 - (-15 - (-43 + 5)).
5
Calculate 21 - (-23 + 36) - (-2 + 3 - -15).
-8
Calculate 9 + -9 + -2 - (-6 - -3 - 28).
29
Evaluate (-6 - 3 - 2) + 11.
0
Calculate -2 - -3 - (-23 - -25).
-1
What is (2 + -6 - -2) + (-8 + 9 - -17)?
16
1 + -1 + (7 - -10) + -7
10
((15 + -6 - -6) + -5 - -2) + -7
5
Calculate 3 + -1 + (-21 - -22) - (-2 + -2).
7
What is 24 + 4 - (-50 - -35 - (-21 + 1))?
23
What is the value of -7 + 7 + 1 + (31 - 42)?
-10
173 + -162 + 2 + 3
16
Calculate 9 + -33 + 16 - 11.
-19
What is (355 - 365 - (0 - 21)) + -38?
-27
Calculate (69 - 69) + 5 + (8 - 2).
11
(6 - 1) + (-8 - (-19 + 10)) - 3
3
-7 - (33 + -10 - 0 - 4 - 9)
-17
What is the value of (-35 + -2 - -59) + (-5 - -1)?
18
Calculate (-11 - -1) + -17 - -7 - (1 + -12).
-9
Evaluate -10 - (-25 - 10) - 19.
6
(0 - 2) + 13 + -10 + (-3 - -8)
6
What is 3 + -37 - (4 - 16)?
-22
What is the value of -10 - (-14 + -14 + 5)?
13
-11 - (-17 - (-4 - -2))
4
Evaluate (8 - (4 - 6 - 1)) + (221 - 251).
-19
Evaluate (-14 - (-3 + -3)) + 8.
0
Evaluate -19 - (-20 - (-22 + 7)) - (0 + 2).
-16
13 - (-2 + (-22 - -31))
6
What is (-2 - -7) + (9 - -3)?
17
0 + 12 + -2 + -10 + (0 - 2)
-2
What is the value of 11 + (1 - (-4 - -2 - -4)) - 2?
8
What is the value of -183 + 184 - ((-3 - -3) + -5 + 2)?
4
-5 + -14 + 2 + -5 + 11
-11
What is (-4 - 4 - ((1 - 8) + 6)) + -15?
-22
(2 - -1) + (-2 - -5) - 17
-11
Evaluate 4 + (-1 + -1 - (-2 - -3)) + 2.
3
6 - ((-2 - -6 - -1) + 9 + 5)
-13
Evaluate 10 - (3 - (7 + 4 + 2 + -12)).
8
Calculate (-3 - 16) + (6 + -3 + 6 - 6).
-16
What is 19 + (-17 - -13) + -14?
1
Evaluate 2 + -19 + (9 - -8).
0
Evaluate 11 - (33 + -2 + (-2 - -4)).
-22
What is the value of 20 + 6 + -15 + -11 - -24?
24
What is -8 - (9 + (-18 - -4))?
-3
Evaluate 8 + (22 - (18 + -4)).
16
-83 - -79 - (3 - (4 - -8))
5
What is the value of (281 - 260) + -15 + -1?
5
-12 - -42 - 12 - (9 + -8)
17
What is (4 - 8 - (8 - (11 - 4))) + 42?
37
Calculate 0 - (3 + -2 - -6) - -1 - 0.
-6
What is 1 - (-9 + -15 + 21)?
4
What is the value of 1 - (-10 - (3 - (-5 + 7 - 1)))?
13
What is the value of (18 - -12) + -21 - 27?
-18
What is -3 + (122 - 141) + (1 - 0) + 3?
-18
What is -8 + (-1 - 0 - (-31 - -26 - -3))?
-7
Calculate (-28 - -14 - -10) + (-1 - (-20 + -2)).
17
3 + (0 - 14) - (-63 + 59) - 8
-15
What is (0 + 1 - (-6 - -10)) + -8?
-11
Calculate 3 - 8 - -19 - 6 - 13.
-5
What is (0 - -17 - 3) + -10?
4
2 + -14 + (58 - 42)
4
What is 23 + (-15 + 26 + -20 - (-7 - -4))?
17
Evaluate 10 - ((-3 - 6) + 7).
12
(0 - -1 - (6 + -1)) + (105 - 96)
5
Calculate -11 + ((-1 - (-9 + 1)) + -1 - 3).
-8
Evaluate (-15 - (-14 + 7)) + (-11 - 1).
-20
What is 114 - 104 - (1 + (8 - 4))?
5
-1 - (-4 - (9 + 2 - 2 | {
"pile_set_name": "DM Mathematics"
} |
a litre in millilitres?
11800
What is 79/2 of a day in minutes?
56880
What is 1/4 of a century in years?
25
What is 2.7709 decades in centuries?
0.27709
How many micrometers are there in fifteen quarters of a millimeter?
3750
How many milligrams are there in twenty-one fifths of a gram?
4200
How many micrograms are there in 1.105781 kilograms?
1105781000
What is 2617063.8 months in millennia?
218.08865
What is 1/10 of a centimeter in millimeters?
1
What is five eighths of a kilometer in centimeters?
62500
What is 23382.6 centimeters in nanometers?
233826000000
How many millilitres are there in three fifths of a litre?
600
Convert 7.437039 meters to centimeters.
743.7039
How many millilitres are there in 3/5 of a litre?
600
What is fifteen quarters of a millisecond in microseconds?
3750
How many months are there in 13/5 of a millennium?
31200
What is thirty-one halves of a century in decades?
155
What is 131.61489 months in centuries?
0.109679075
What is 15.788619 microseconds in minutes?
0.00000026314365
What is one fifteenth of a hour in minutes?
4
What is 3.283749cm in millimeters?
32.83749
What is 25/2 of a minute in seconds?
750
How many millimeters are there in 469.878m?
469878
What is 13499.57 millennia in decades?
1349957
What is eight fifteenths of a century in months?
640
What is seventeen halves of a kilogram in grams?
8500
What is 3/25 of a microgram in nanograms?
120
What is 1/10 of a millennium in decades?
10
What is 10/7 of a week in hours?
240
What is 37.64722 millilitres in litres?
0.03764722
How many months are there in eight thirds of a decade?
320
What is eleven quarters of a century in months?
3300
Convert 7.922146m to millimeters.
7922.146
What is seventeen sixths of a century in months?
3400
How many seconds are there in 1/27 of a day?
3200
What is 29/5 of a millimeter in micrometers?
5800
What is 3/5 of a gram in milligrams?
600
What is 7/8 of a week in hours?
147
How many millennia are there in 0.0811629 decades?
0.000811629
How many millilitres are there in 8/25 of a litre?
320
How many microseconds are there in 19/4 of a millisecond?
4750
What is 64966.85t in micrograms?
64966850000000000
How many millilitres are there in 3/5 of a litre?
600
What is 5/4 of a day in minutes?
1800
How many millilitres are there in eighty-seven halves of a litre?
43500
What is nine tenths of a century in decades?
9
Convert 68025.44ml to litres.
68.02544
How many months are there in 52/5 of a decade?
1248
How many millilitres are there in 25/4 of a litre?
6250
What is 5/6 of a year in months?
10
How many nanometers are there in 77.85903m?
77859030000
Convert 533260.71ms to hours.
0.148127975
Convert 654883.3km to centimeters.
65488330000
What is 1669.637 kilograms in milligrams?
1669637000
What is 517482.5t in kilograms?
517482500
What is nineteen quarters of a litre in millilitres?
4750
What is 1/5 of a kilometer in centimeters?
20000
What is 46955.41 centuries in millennia?
4695.541
Convert 530140.7l to millilitres.
530140700
Convert 2887.4124 months to years.
240.6177
How many meters are there in 521600.4nm?
0.0005216004
How many kilograms are there in nineteen quarters of a tonne?
4750
What is 6116.317 millilitres in litres?
6.116317
How many milligrams are there in 0.02827kg?
28270
How many centimeters are there in 3/25 of a kilometer?
12000
Convert 96533.85l to millilitres.
96533850
Convert 8.648462 centimeters to millimeters.
86.48462
What is fourty-four fifths of a meter in millimeters?
8800
How many millilitres are there in nine tenths of a litre?
900
Convert 0.0569175 years to months.
0.68301
What is 18/5 of a litre in millilitres?
3600
What is one tenth of a millennium in decades?
10
How many nanograms are there in five quarters of a microgram?
1250
What is 1/20 of a tonne in grams?
50000
How many years are there in seventeen quarters of a millennium?
4250
Convert 17218.17 litres to millilitres.
17218170
How many months are there in twenty-one fifths of a decade?
504
What is seven halves of a millennium in years?
3500
Convert 17404.66 millennia to centuries.
174046.6
How many millilitres are there in 7/8 of a litre?
875
How many seconds are there in seventy-one quarters of a hour?
63900
What is twenty-five halves of a centimeter in millimeters?
125
Convert 792173.3mg to kilograms.
0.7921733
How many days are there in 148316.13 nanoseconds?
0.000000001716621875
What is 43/2 of a decade in years?
215
What is three fifths of a week in minutes?
6048
How many grams are there in thirty-one fifths of a kilogram?
6200
What is 169.164g in milligrams?
169164
What is twenty-nine halves of a litre in millilitres?
14500
What is 8389.414 centuries in months?
10067296.8
What is one tenth of a milligram in nanograms?
100000
What is 239.3475 nanograms in tonnes?
0.0000000000002393475
What is fifty-four fifths of a meter in millimeters?
10800
How many grams are there in three fifths of a kilogram?
600
How many microseconds are there in 31/2 of a millisecond?
15500
What is 85.39075 decades in years?
853.9075
How many millennia are there in 886158.4 years?
886.1584
How many meters are there in 34/5 of a kilometer?
6800
What is 0.3725674 millilitres in litres?
0.0003725674
How many milligrams are there in 323487.3ng?
0.3234873
Convert 69841.17ml to litres.
69.84117
Convert 189.7204 millilitres to litres.
0.1897204
How many nanograms are there in 517136.9kg?
517136900000000000
Convert 95688.65 days to nanoseconds.
8267499360000000000
How many micrograms are there in three fifths of a milligram?
600
What is 0.209567 days in milliseconds?
18106588.8
What is 457.507764 nanoseconds in weeks?
0.00000000000075646125
Convert 5.017333mm to centimeters.
0.5017333
How many decades are there in fourty-two fifths of a millennium?
840
How many micrometers are there in 3/5 of a centimeter?
6000
How many millimeters are there in 361.4504 micrometers?
0.3614504
Convert 56533.48 millimeters to centimeters.
5653.348
What is fourty-seven quarters of a tonne in kilograms?
11750
How many milliseconds are there in 610.0972 days?
52712398080
What is thirteen fifths of a decade in months?
312
Convert 0.9094594 litres to millilitres.
909.4594
How many years are there in one quarter of a century?
25
What is 725.4349ml in litres?
0.7254349
How many micrometers are there in 21433.41km?
21433410000000
How many grams are there in 152.1714ng?
0.0000001521714
What is 12625.911 months in centuries?
10.5215925
How many hours are there in 415891.3 days?
9981391.2
How many millilitres are there in fourty-three halves of a litre?
21500
Convert 1532.66883 hours to weeks.
9.12302875
How many micrometers are there in 0.7905565 millimeters?
790.5565
How many micrometers are there in seven eighths of a millimeter?
875
How many micrometers are there in nine tenths of a centimeter?
9000
What is 5.221111 litres in millilitres?
5221.111
How many meters are there in 686.2885um?
0.0006862885
How many years are there in 6.746336 centuries?
674.6336
What is 76/5 of a litre in millilitres?
15200
What is twenty-five quarters of a hour in seconds?
22500
What is one quarter of a microgram in nanograms?
250
How many micrometers are there in 93075.04m?
93075040000
What is 3/5 of a second in milliseconds?
600
How many millimeters are there in 3/8 of a meter?
375
How many hours are there in 3/8 of a week?
63
What is 37.48548ml in litres?
0.03748548
How many kilograms are there in 375299.2ng?
0.0000003752992
What is one fifth of a centimeter in millimeters?
2
How many meters are there in thirty-three fifths of a kilometer?
6600
How many hours are there in 3/28 of a week?
18
What is 81.5156 milligrams in grams?
0.0815156
How many hours are there in 61/2 of a week?
5124
What is 3.936177cm in millimeters?
39.36177
How many hours are there in eighty-one quarters of a day?
486
How many months are there in fifteen quarters of a century?
4500
How many decades are there in eleven quarters of a millennium?
275
What is fifty-seven fifths of a gram in milligrams?
11400
Convert 817.7383 decades to millennia.
8.177383
What is 0.014932 tonnes in micrograms?
14932000000
How many tonnes are there in 75.84975mg?
0.00000007584975
How many months are there in 26/5 of a millennium?
62400
Convert 40.44628 weeks to nanosec | {
"pile_set_name": "DM Mathematics"
} |
**3 + 83*o**2 - 113*o**2.
-2*(o + 1)**3*(o + 4)
Let u(k) be the third derivative of -k**6/180 - 11*k**5/18 - 52*k**4/9 - 68*k**3/3 - 64*k**2 + 4. Suppose u(f) = 0. Calculate f.
-51, -2
Let i(y) = -52*y**3 - 3*y**2 - 4*y - 1. Let k be i(-1). Factor 235*a**2 - 1800*a - 651 - 14*a**4 + k*a**3 + 9*a**4 - 2*a**3 - 5829.
-5*(a - 9)**2*(a + 4)**2
Let w(t) = 58695*t**2 - 2*t - 1. Let r be w(-1). Suppose -4*d + r = 22268. Determine j, given that 2*j**4 + 2*j**3 - 4*j**2 - 9107*j + d*j = 0.
-2, 0, 1
Let h(y) be the second derivative of y**6/900 - y**5/30 - 11*y**4/60 + 14*y**3 - 10*y - 2. Let b(z) be the second derivative of h(z). Factor b(c).
2*(c - 11)*(c + 1)/5
Let c be (12/8)/(153/1088) - 8. Let y(q) be the second derivative of -q**5 + c*q**4 + 12*q**2 - 14*q + 38/3*q**3 + 0. Factor y(v).
-4*(v - 3)*(v + 1)*(5*v + 2)
Let w(g) = -g**2 + 79*g. Suppose 11*c - 58 + 3 = 0. Let p(j) = -42*j. Let v(d) = c*p(d) + 3*w(d). Determine l, given that v(l) = 0.
0, 9
Let q be (-11)/(583/(-530)) - (-78)/(-8). Factor 3/8*j**2 + 5/8*j + q.
(j + 1)*(3*j + 2)/8
Suppose 33 = 238*h + 33. Let k(r) be the second derivative of 0*r**5 - 7*r - 1/70*r**7 + 0 + h*r**2 + 1/50*r**6 + 0*r**3 + 0*r**4. Find a, given that k(a) = 0.
0, 1
Let w(n) be the third derivative of n**6/480 + n**5/60 - 7*n**4/24 + 4*n**3/3 - 622*n**2. Factor w(j).
(j - 2)**2*(j + 8)/4
Let g(f) be the third derivative of 1/20*f**5 - 199*f**2 + 8*f**3 + 0 + 0*f + f**4. Factor g(m).
3*(m + 4)**2
Let f = -12037187/7 - -1719601. Factor 2/7*u**3 + f + 4/7*u**2 - 26/7*u.
2*(u - 2)*(u - 1)*(u + 5)/7
Let l(p) = -p**3 - 2*p**2 + 25*p - 2. Let y be l(4). Factor -18 + 6 + 15 + 13 - d - 2*d**y + 5*d.
-2*(d - 4)*(d + 2)
Let p be 5/(-3) - ((-24750)/1080 - (-4 - 17)). Find d, given that -5/4*d**2 + p*d**3 - 3/2*d + 0 = 0.
-1, 0, 6
Let k(p) = 9*p**2 - 4*p + 2. Let g be 1/((-1)/((-8)/(-4) + -4)). Let m be k(g). Factor -3*h - 29*h**2 + m*h**2 - h + 2 + h.
(h - 2)*(h - 1)
Let y(f) be the third derivative of -8/9*f**3 + 0 + 210*f**2 - 1/45*f**5 + 0*f + 5/18*f**4. Determine u, given that y(u) = 0.
1, 4
Let f(o) = -7*o**3 + 111*o**2 + 254*o + 4. Let l(p) = -15*p**3 + 220*p**2 + 510*p + 10. Let c(m) = 5*f(m) - 2*l(m). Factor c(u).
-5*u*(u - 25)*(u + 2)
Let x be -8 - (-748)/51 - (-65)/78. Let k = 0 + 0. Factor k*w - x*w**2 - 6*w**3 + 3/2*w**4 + 0.
3*w**2*(w - 5)*(w + 1)/2
Factor -1595/2*q + 2544025/4 + 1/4*q**2.
(q - 1595)**2/4
Let n(m) be the first derivative of -11/20*m**5 + 3/20*m**6 - 1/2*m**2 + 3/4*m**4 - 1/2*m**3 + 18 + 0*m. Let k(c) be the second derivative of n(c). Factor k(d).
3*(d - 1)*(2*d - 1)*(3*d - 1)
Let i(v) be the second derivative of v**4/78 + 341*v**3/39 - 1389*v. Factor i(d).
2*d*(d + 341)/13
Suppose -5*c = -5*y - 1397 - 823, 0 = y - 5*c + 456. Let q = -4409/10 - y. Determine r so that -1/10*r**2 + 2/5 - 2/5*r + q*r**3 = 0.
-2, 1, 2
Let b(h) be the third derivative of 2/95*h**5 - 1/1995*h**7 + 7/114*h**4 + 0*h + 1/570*h**6 - 171*h**2 + 5/57*h**3 + 0. Determine l so that b(l) = 0.
-1, 5
Let r = 2167 + -2162. Let j(s) be the second derivative of -1/48*s**4 + 0*s**3 + 0 + 1/2*s**2 + r*s. Find d such that j(d) = 0.
-2, 2
Let i(t) be the first derivative of -t**5/120 + 11*t**4/24 - 12*t**2 + t + 12. Let a(l) be the second derivative of i(l). Factor a(g).
-g*(g - 22)/2
Let x(p) be the third derivative of -p**5/180 + 11*p**4/72 + 7*p**3 + 914*p**2. Factor x(y).
-(y - 18)*(y + 7)/3
Factor -8 - 36/5*t + 28/5*t**2.
4*(t - 2)*(7*t + 5)/5
Let t(h) = 4*h**4 - 24*h**3 - 14*h**2 + 29*h - 20. Let y(i) = 12*i**4 - 72*i**3 - 44*i**2 + 88*i - 64. Let r(n) = -16*t(n) + 5*y(n). Factor r(g).
-4*g*(g - 6)*(g - 1)*(g + 1)
Let k(z) be the first derivative of 0*z - 27/14*z**2 + 6/7*z**4 + 27 + 1/14*z**6 - 18/35*z**5 + 6/7*z**3. Solve k(g) = 0.
-1, 0, 1, 3
Let q(w) be the first derivative of 405*w**4/4 - 1560*w**3 - 1070*w**2 - 240*w + 2218. Suppose q(f) = 0. What is f?
-2/9, 12
Let f = -444926/5 + 88986. Suppose f*n**2 + 4*n + 16/5 = 0. What is n?
-4, -1
Let j(s) = -4*s**2 - 50*s + 46. Let l(i) = -13*i**2 - 106*i - 79*i - 32*i + 138 + 64*i. Let f(x) = -7*j(x) + 2*l(x). Factor f(g).
2*(g - 1)*(g + 23)
Let w(n) be the first derivative of -2/3*n**3 + 62 + 12*n**2 + 26*n. Factor w(x).
-2*(x - 13)*(x + 1)
Let c be ((-432)/(-288) - 0/(-1)) + 6/4. Let f(s) be the first derivative of 19 - 1/7*s**2 + 0*s - 2/21*s**c. Determine l so that f(l) = 0.
-1, 0
Let o(c) = 30*c**4 + 326*c**3 + 185*c**2 - 632*c + 79. Let y(q) = -11*q**2 - 1. Let i(n) = 2*o(n) - 2*y(n). Solve i(a) = 0.
-10, -2, 2/15, 1
Let u be (-33074)/29479*(-41 - 0). Factor 1/2*n**4 - 45*n**2 + 14*n**3 + u*n - 31/2.
(n - 1)**3*(n + 31)/2
Let l(y) = -y**2 - 3*y + 1. Let s be l(-2). Suppose -2*x = -6, 0 = -4*o - 0*x - s*x + 25. Factor -c**3 - 2*c**2 - c**5 + c**2 + 2*c**3 + 16*c**o - 15*c**4.
-c**2*(c - 1)**2*(c + 1)
Let d(n) be the second derivative of 3*n**5/140 - 13*n**4/28 + 6*n**3/7 - 8*n - 76. Factor d(x).
3*x*(x - 12)*(x - 1)/7
Let f be (-15)/10*8/(-6). Suppose f*t - 10 = -0*t - 2*k, 2*k + 5 = 3*t. Find h such that 24*h**2 + h**3 - 4*h**4 - 12*h**t + 16*h + 7*h**3 - 32 = 0.
-2, 1, 2
Let v = -972489 + 972492. Factor -8/9*b**2 + 2/9*b**4 - 4/9*b**v + 2/3 + 4/9*b.
2*(b - 3)*(b - 1)*(b + 1)**2/9
Let w = 1304691/124256 + -3/124256. Factor 27/2*u**2 + 3/2*u**4 + w*u + 3 + 15/2*u**3.
3*(u + 1)**3*(u + 2)/2
Let m(b) = -b**3 + 30*b**2 + 31*b + 4. Let a be m(31). Factor 3*u**a + 181*u - 7*u + 66*u - 576 + 36*u**2 - 27*u**3.
3*(u - 4)**3*(u + 3)
Let l be (-2)/(55/(-77) + 351/(-126)). Suppose -12/7*j**2 + 12/7*j - l + 4/7*j**3 = 0. Calculate j.
1
Let z = 380 + -376. Suppose 3*b + l + 24 = 20, z*l = -5*b - 16. Determine g, given that 2/11*g**2 + b - 4/11*g = 0.
0, 2
Let w(v) be the first derivative of 16*v - 7/10*v**4 + 23/5*v**3 - 59 + 1/25*v**5 - 68/5*v**2. Factor w(c).
(c - 5)*(c - 4)**2*(c - 1)/5
Let b(f) be the first derivative of -44 - 13*f**3 + 0*f + 9*f**2 + 15/4*f**4. Factor b(h).
3*h*(h - 2)*(5*h - 3)
Suppose 8*l + 17 = -23. Let i(h) = 3*h**2 - 8. Let k(a) = 4*a**2 + a - 9. Let m(g) = l*i(g) + 4*k(g). Factor m(d).
(d + 2)**2
Let v(s) be the first derivative of -7*s**3/3 + 15*s**2 + 72*s - 1137. Find y such that v(y) = 0.
-12/7, 6
Let x(j) = 9*j**4 - 25*j**3 - 109*j**2 - 167*j - 77. Let f(w) = 2*w**4 - w**3 - w - 1. Let d(q) = -5*f(q) + x(q). Determine y so that d(y) = 0.
-12, -6, -1
Suppose -5 = 5*c - 5*j, 3*c + 86*j = 82*j + 4. Let 0*h - 1/5*h**2 + c = 0. What is h?
0
Let i(v) = -2*v**4 + 36*v**3 + 40*v**2 - 42*v - 32. Let n(b) be the first derivative of -b**2/2 + b + 88. Let k(l) = i(l) - 6*n(l). What is o in k(o) = 0?
-1, 1, 19
Determine j, given that -76800/7 + 960/7*j - 3/7*j**2 = 0.
160
Let z be (2*(-2)/12)/((-11)/(-55)*-5). Find d such that d + 8/3*d**2 + 2*d**3 + 0 + 0*d**4 - z*d**5 = 0.
-1, 0, 3
Let q(v) be the first derivative of 3*v**5 + 47*v**4/4 + 12*v**3 + 2*v**2 + 2445. Find o, given that q(o) = 0.
-2, -1, -2/15, 0
Let m(p) = -p**3 + 28*p**2 - 23*p - 107. Let s be m(27). Let j be 56/(-56) - (s - 2). Factor j - 11/2*o**2 - 1/2*o**4 - 7/2*o**3 - 5/2*o.
-o*(o + 1)**2*(o + 5)/2
Let y = 707410 - 707407. Factor 10*i - 6*i**2 + 2/3*i**y + 50/3.
2*(i - 5)**2*(i + 1)/3
Factor -2*w**2 - 70880 + w**2 - 56699 - 68670 + 886*w.
-(w - 443)**2
Let q = 813225 - 813223. Solve -24/5*k - 2/5*k**q + 26/5 = 0.
-13, 1
Let k(v) = 67*v**2 + 2*v. Let d be k(-1). Let r = 68 - d. Suppose 8/9*j**2 - 8/9*j**r + 0 + 0*j + 2/9*j**4 = 0. What is j?
0, 2
Let a be -2 + 132/(-242)*(-13 + 2). Let f(h) be the third derivative of -1/150*h**6 - 1/25*h**5 - 1/15*h**a + 0 - 6*h**2 + 0*h + 0*h**3. Factor f(x).
-4*x*(x + 1)*(x + 2)/5
Let p(k) be the first derivative of k**4 + 300*k**3 + 25086*k**2 - 51076*k + 2283. Let p(m) = 0. What is m?
-113, 1
Let u(n) be the second derivative of n**4/48 + 557*n**3/12 - 1115*n**2/8 - 48*n + 20. Determine w, given that u(w) = 0.
-1115, 1
Let r(h) be the second derivative of -h**6/120 + 3*h**5/20 - 19*h**4/24 + h**3/2 + 63*h**2/8 + 2211*h. Factor r(a).
-(a - 7)*(a - 3)**2*(a + 1)/4
Let y(c) = 31*c**3 - 227*c**2 + 246*c + 50. Let g(a) = 5*a**3 - 38*a**2 + 41*a + 8. Let j(h) = -25*g(h) + 4*y(h). Find w, given that j(w) = 0.
0, 1, 41
Factor 0*b + 6480*b**3 + 0*b**2 + 180*b**4 + 0 + 5/4*b**5.
5*b**3*(b + 72)**2/4
Let f = 377905 + -377901. Determine y, given that -2/5*y**2 - f*y + 0 | {
"pile_set_name": "DM Mathematics"
} |
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