text
stringlengths 518
8.19k
| meta
dict |
---|---|
Round r to six dps.
0.000086
Let u = -6.89 + 6.8417. Let w = u - -0.048254. What is w rounded to five dps?
-0.00005
Let g be (-4 + 835/30*2)/((-14)/193704). Round g to the nearest 100000.
-700000
Let c = 115169 - 115166.59972. Let h = 2.121 - -0.279. Let k = c - h. What is k rounded to 4 dps?
0.0003
Let q = -17.21 + 0.21. Let r = 19.7 + q. Let m = r + -2.836. What is m rounded to two dps?
-0.14
Let m = -19.41 - -19. Let l = 0.35 - m. Let j = -0.729 + l. Round j to two decimal places.
0.03
Let l = 735.0085 - 0.0085. Let g = 734.9999278 - l. Round g to 6 decimal places.
-0.000072
Let j = -21859 - -21858.99980627. What is j rounded to 6 dps?
-0.000194
Let v be (2/(-4))/((-3)/(-42)) + 856113/(-1). Round v to the nearest 10000.
-860000
Let f = -33621151732.99999953 + 33621151874. Let n = f + -141. What is n rounded to 6 dps?
0
Let b(x) = -x - 9. Let s be -7*((1 - -2) + 6/(-3)). Let t be b(s). Let g be ((-24)/14 - t) + 792/(-77). Round g to the nearest integer.
-10
Let s = -1149 - -1137.696. Round s to 0 decimal places.
-11
Let a = 42147086 - 70126086. What is a rounded to the nearest 100000?
-28000000
Let y = 2049 - 1299. Let n = 749.9998439 - y. What is n rounded to five decimal places?
-0.00016
Let u be 4/24 - 33077499/(-126). What is u rounded to the nearest ten thousand?
260000
Let i = 33.35739379008 + 333094.66960200992. Let w = 333128 - i. Let s = w - -0.027. What is s rounded to six decimal places?
0.000004
Let v = 38.37175 + -415.55765. Let g = -377 - v. Round g to two dps.
0.19
Let o = 40.6 + -1.6. Let z = -154.49 - -193.49008. Let c = z - o. What is c rounded to 5 dps?
0.00008
Let f = 2.483 - 21.093. Let w = -6.99 - f. Round w to the nearest 10.
10
Let r = -61860.99971341 + 61861. What is r rounded to 6 decimal places?
0.000287
Let t = -38.464 + 38.46385945. What is t rounded to four decimal places?
-0.0001
Let r = -610 - -1250. Let x = r + -5950. Round x to the nearest 100.
-5300
Let a = 0.333 - -13.667. Let s = -122744.20039 + 122758.2. Let i = s - a. Round i to 4 decimal places.
-0.0004
Let x = 1.098 - -774.902. Let i = 775.8185 - x. What is i rounded to 2 dps?
-0.18
Suppose -76*p - 1547811 = 32*p + 20172069. Round p to the nearest 1000.
-201000
Let l = 25.08948 - -0.03852. What is l rounded to zero dps?
25
Let g(c) = c**3 - 12*c**2 + 4*c - 443100. Let f be g(0). What is f rounded to the nearest one hundred thousand?
-400000
Let x = -34.35 - -10.74. Round x to the nearest integer.
-24
Let x = -28.31 - -433.41. Let m = 308 - x. Let g = m - -112. What is g rounded to the nearest integer?
15
Let i(g) = -g + 16. Let z be i(15). Let u be 3/6*-24008002 - -4*z. Let j = -13196003 + u. What is j rounded to the nearest one million?
-25000000
Let p = -10.189 + 10. Let a = -30.8209097 - -31.0099. Let i = p + a. What is i rounded to six decimal places?
-0.00001
Let j(x) = 9*x - 14. Let o be j(3). Let y(f) = -3*f + 41. Let g be y(o). Suppose 0 = -4*m - 2*k - 103990, g*k + k = 15. Round m to the nearest ten thousand.
-30000
Let m be 367/3303 + (-41578022)/18. Round m to the nearest 100000.
-2300000
Let a = -3526.36 - -3559. Round a to the nearest 10.
30
Let s = -90 - -89.65. Let f = s + 0.2816. Round f to 3 decimal places.
-0.068
Let v = -127 + 107. Let n = v - -181. Let j = -160.464 + n. What is j rounded to 2 dps?
0.54
Let p = 0.060395 - -10.648305. What is p rounded to the nearest integer?
11
Suppose 20*o = 22*o - z - 15, -4*o - 3*z + 5 = 0. Suppose o*q = -2370002 - 22629998. Round q to the nearest 100000.
-5000000
Let k = -46042.00019473 - -46042. What is k rounded to six dps?
-0.000195
Let k = -0.083 - 0.082. Let x = -0.3517 + 0.0997. Let b = x - k. Round b to two dps.
-0.09
Let c = 4005.97 - 4028. Let b = 12.64 + c. Round b to the nearest integer.
-9
Let y(t) = -7*t + 77. Let u be y(18). Let q be (-10)/(-4)*(13011 + u/7). Suppose -3*s = 5*b - 19525, 6*s + 2*b = s + q. Round s to the nearest one hundred.
6500
Let y = 0.1279427173 + -607.1279110173. Let l = y - -607. Round l to five decimal places.
0.00003
Suppose -6*z - 5*z = 41*z - 297102000. Round z to the nearest 10000.
5710000
Let q = 378.6 - 337. Let l = 41.801 - q. Round l to two decimal places.
0.2
Let z = -473.2 - -434.8. What is z rounded to the nearest ten?
-40
Let w be (-1 - 29039655/45)*(11 - -4). Round w to the nearest 100000.
-9700000
Suppose 9*h + 46 = 4*h - 4*w, -4*w = 16. Let g be (h - -3879)/((-15)/(-50)). What is g rounded to the nearest one thousand?
13000
Let m = 0.467 + 230.533. Let s = 250761529.5999903 - 250761298.6. Let i = m - s. Round i to six decimal places.
0.00001
Let o = -0.286 + 0.28588855. Round o to six decimal places.
-0.000111
Let s = -29285571 - -43758571. What is s rounded to the nearest 1000000?
14000000
Let g = 3.382 + 5.954. What is g rounded to 0 dps?
9
Let y = 109106.348 + -136712.9419. Let z = 27610 + y. Let m = z - -0.0239. What is m rounded to 1 dp?
3.4
Let k = -0.0486902 - -1118.8322902. Let a = k + -1119. What is a rounded to 2 dps?
-0.22
Suppose -5*v = g + 9, 10*v = 4*g + 5*v - 14. Let p be ((-40)/(-50))/(((-2)/g)/(-3442500)). Round p to the nearest 1000000.
1000000
Let v = 1025.13 - -132.97. What is v rounded to the nearest 10?
1160
Let j(y) = -152662*y**3 - 6*y + 9. Let k be j(2). Let h = 781299 + k. Round h to the nearest 100000.
-400000
Let x = -480 + 477.22. Let d = 2.78000688 + x. Round d to six dps.
0.000007
Let n = -11.268 - -0.168. Let g = -11.0674 - n. What is g rounded to three decimal places?
0.033
Let g(z) = -z**3 + z**2 + 6*z + 40000. Let t be (-2 - (-5 - -3))/1. Let x be g(t). Round x to the nearest 10000.
40000
Let o = 2487 + -1054. Let p = 1432.999998114 - o. Round p to seven dps.
-0.0000019
Let o(l) = 6*l**2 - 12*l - 4. Let z be o(-11). Suppose 23*t + 76524 = 29*t. Let j = z - t. What is j rounded to the nearest one thousand?
-12000
Let n = 86.254987481 + -86.290284. Let r = n + 284.034066519. Let i = -284 + r. Round i to 4 dps.
-0.0012
Let h(a) = 620*a - 29. Let l be h(9). Let n = -4449 - l. Round n to the nearest 100000.
0
Let v be 2588565/(5 + 2)*(-60)/9. Round v to the nearest 100000.
-2500000
Let j = -2.48 - 15.72. Let z = j + 13.53. What is z rounded to 1 decimal place?
-4.7
Let a = 51 + -48. Suppose 0*u = -a*u + 84600. Suppose -4*q - u = -6*q. What is q rounded to the nearest 1000?
14000
Let q = -34 + 33.9876. Let x = 0.013046 + q. What is x rounded to four decimal places?
0.0006
Let w be (-10 - -12)/(6/23606049). Suppose w = 24*l - 4107317. What is l rounded to the nearest 10000?
500000
Let j = -5.732942 + 551.874042. Let g = j + -546. Round g to two dps.
0.14
Let c = -0.002843596432 - 4870.996667003568. Let y = -4871 - c. What is y rounded to four decimal places?
-0.0005
Let c = 20.3586198 - 20.1506. Let k = c - 0.208. What is k rounded to six dps?
0.00002
Let m = -0.0748 + 0.0736481. What is m rounded to five decimal places?
-0.00115
Let l = 697 + -362. Let z = 335.0072 - l. What is z rounded to 4 dps?
0.0072
Let s be (893/(-57) - (-11 - 4))*(-275178)/(-4). What is s rounded to the nearest 10000?
-50000
Let p = -177.42 + 177.4170495. Round p to four decimal places.
-0.003
Let j = -91.889996083 - -91.89. Round j to 6 decimal places.
0.000004
Let j = -1920.6 - -1867. Let s = -46237.4432 + 46291.0431733. Let q = s + j. Round q to 6 dps.
-0.000027
Let b = -461.2 + 639. Let n = -16.8 + b. Let j = n - 161.129. What is j rounded to two dps?
-0.13
Let k = 42456.32 - 43193. What is k rounded to the nearest 100?
-700
Let u = 114 + -160. Let s = 48 + u. Suppose -s*f - 2*y = 1144, -3*f + 6*y - 1702 = 2*y. Round f to the nearest 100.
-600
Let u = -4806 - -4797. Let m = -148 + 382. Let i be (m/4 + 3)*(-300)/u. What is i rounded to the nearest 100?
2100
Let j = -26824 + 26824.28016. Round j to 2 decimal places.
0.28
Let p = 14 + -10.2. Let i = p + -3.800001748. What is i rounded to 7 dps?
-0.0000017
Let k = 584705 + -1069615. Round k to the nearest one hundred thousand.
-500000
Let g = 45492 + -45492.001738. What is g rounded to 3 dps?
-0.002
Let v = -711.9 + 711.89. Let l = -6134 - -6133.9899736. Let p = l - v. Round p to 6 decimal places.
-0.000026
Let b = -43 + 43. Let a = b + -0.87. Round a to one decimal place.
-0.9
Let r = -1637.06 - -1637.06000084803. Round r to 7 dps.
0.0000008
Let g = -106296.351 - -106244. What is g ro | {
"pile_set_name": "DM Mathematics"
} |
(base 6) in base 3?
2002
What is 266 (base 8) in base 2?
10110110
Convert -1121 (base 7) to base 10.
-407
Convert -5 (base 8) to base 13.
-5
Convert 2 (base 13) to base 2.
10
What is -6 (base 14) in base 6?
-10
103 (base 7) to base 5
202
Convert 20 (base 3) to base 14.
6
-14 (base 6) to base 9
-11
Convert -5a (base 12) to base 7.
-130
Convert -120 (base 3) to base 9.
-16
What is c (base 14) in base 11?
11
Convert 120 (base 5) to base 4.
203
3 (base 4) to base 7
3
191 (base 16) to base 3
112212
What is 130 (base 4) in base 12?
24
What is -2211 (base 4) in base 12?
-119
c8 (base 16) to base 5
1300
-1 (base 7) to base 11
-1
What is -2 (base 12) in base 11?
-2
-4 (base 14) to base 13
-4
36 (base 10) to base 11
33
What is -63 (base 8) in base 2?
-110011
Convert 44 (base 6) to base 10.
28
Convert 1 (base 4) to base 14.
1
424 (base 6) to base 5
1120
177 (base 14) to base 7
610
1 (base 14) to base 4
1
What is 1 (base 7) in base 2?
1
What is -4 (base 16) in base 10?
-4
62 (base 14) to base 8
126
What is 0 (base 13) in base 16?
0
What is 5 (base 12) in base 11?
5
3 (base 13) to base 6
3
What is -101110 (base 2) in base 10?
-46
Convert 10 (base 4) to base 9.
4
-2 (base 10) to base 16
-2
Convert 24 (base 12) to base 2.
11100
Convert 1 (base 16) to base 15.
1
4 (base 10) to base 7
4
Convert -42 (base 16) to base 4.
-1002
Convert -132 (base 4) to base 8.
-36
What is 1201 (base 3) in base 14?
34
Convert -199 (base 10) to base 9.
-241
10 (base 2) to base 12
2
0 (base 14) to base 15
0
Convert -1 (base 7) to base 9.
-1
-1001 (base 2) to base 8
-11
What is -1 (base 16) in base 2?
-1
-2 (base 13) to base 16
-2
What is 11 (base 5) in base 16?
6
What is -234 (base 5) in base 7?
-126
What is 94 (base 11) in base 14?
75
What is -2 (base 5) in base 2?
-10
Convert -31 (base 6) to base 11.
-18
Convert 33 (base 4) to base 6.
23
Convert -1 (base 7) to base 2.
-1
3 (base 5) to base 7
3
14 (base 10) to base 15
e
-1 (base 5) to base 14
-1
What is -1 (base 3) in base 12?
-1
What is -212 (base 4) in base 13?
-2c
199 (base 11) to base 12
171
What is 24 (base 14) in base 15?
22
What is 321 (base 11) in base 6?
1442
What is -10 (base 3) in base 2?
-11
78 (base 9) to base 8
107
What is -124 (base 10) in base 13?
-97
-224 (base 9) to base 5
-1214
160 (base 11) to base 7
355
Convert -2 (base 7) to base 12.
-2
Convert 10 (base 3) to base 13.
3
Convert 124 (base 5) to base 15.
29
Convert 80 (base 12) to base 9.
116
Convert -26 (base 11) to base 15.
-1d
Convert -22 (base 15) to base 12.
-28
1 (base 12) to base 8
1
-323 (base 5) to base 6
-224
31 (base 8) to base 10
25
-2 (base 14) to base 3
-2
Convert 22 (base 4) to base 3.
101
What is -130 (base 5) in base 12?
-34
Convert -4 (base 13) to base 12.
-4
Convert -13 (base 4) to base 11.
-7
120 (base 4) to base 10
24
Convert 3 (base 12) to base 14.
3
What is 13 (base 4) in base 15?
7
What is 2 (base 14) in base 5?
2
What is 2 (base 10) in base 3?
2
What is -c (base 13) in base 16?
-c
What is 23 (base 10) in base 14?
19
-b (base 14) to base 9
-12
1022 (base 4) to base 7
134
What is -30 (base 6) in base 11?
-17
What is -60 (base 12) in base 6?
-200
-15 (base 10) to base 16
-f
What is 19 (base 11) in base 3?
202
Convert -221 (base 9) to base 5.
-1211
Convert -512 (base 7) to base 4.
-3332
Convert a (base 14) to base 9.
11
Convert 22 (base 5) to base 11.
11
What is -8 (base 9) in base 4?
-20
What is -15 (base 12) in base 13?
-14
Convert -5 (base 14) to base 6.
-5
What is -24 (base 16) in base 12?
-30
What is -41 (base 8) in base 12?
-29
1 (base 12) to base 16
1
Convert 30 (base 5) to base 13.
12
What is 137 (base 16) in base 9?
375
-1024 (base 5) to base 11
-117
Convert -7a (base 11) to base 15.
-5c
Convert 2 (base 9) to base 11.
2
Convert -3313 (base 4) to base 6.
-1051
Convert 414 (base 5) to base 13.
85
Convert -20 (base 9) to base 4.
-102
5 (base 9) to base 6
5
What is -41 (base 13) in base 9?
-58
11 (base 2) to base 4
3
Convert -1ac (base 14) to base 16.
-15c
0 (base 4) to base 9
0
-57 (base 10) to base 4
-321
21202 (base 3) to base 12
155
What is 4 (base 13) in base 7?
4
Convert 1 (base 15) to base 5.
1
Convert 13 (base 5) to base 6.
12
-10 (base 10) to base 16
-a
1 (base 9) to base 3
1
What is 4 (base 15) in base 14?
4
5 (base 10) to base 15
5
Convert 7 (base 11) to base 8.
7
7 (base 14) to base 8
7
Convert 2 (base 16) to base 13.
2
-40 (base 9) to base 6
-100
2 (base 6) to base 7
2
100 (base 2) to base 14
4
111 (base 7) to base 16
39
Convert -65 (base 10) to base 13.
-50
Convert -211 (base 6) to base 3.
-2221
What is 2 (base 8) in base 2?
10
What is -11 (base 10) in base 7?
-14
-45 (base 14) to base 9
-67
What is 22 (base 6) in base 10?
14
c (base 16) to base 4
30
-3 (base 11) to base 9
-3
135 (base 10) to base 7
252
Convert -22 (base 7) to base 5.
-31
Convert 2 (base 3) to base 11.
2
12 (base 5) to base 4
13
What is -1002 (base 3) in base 11?
-27
What is -2 (base 4) in base 5?
-2
Convert -211 (base 3) to base 13.
-19
What is -38 (base 16) in base 8?
-70
Convert -5 (base 6) to base 9.
-5
What is 6 (base 14) in base 10?
6
Convert -341 (base 6) to base 10.
-133
-7 (base 14) to base 11
-7
Convert -1000 (base 3) to base 2.
-11011
Convert -1c (base 13) to base 3.
-221
What is -323 (base 6) in base 3?
-11120
What is 14 (base 6) in base 2?
1010
-69 (base 13) to base 2
-1010111
11 (base 15) to base 2
10000
Convert -2 (base 9) to base 7.
-2
What is 51 (base 8) in base 5?
131
What is 3 (base 16) in base 10?
3
-427 (base 8) to base 15
-139
What is -1 (base 13) in base 9?
-1
What is -9 (base 13) in base 15?
-9
What is 14 (base 7) in base 11?
10
24 (base 12) to base 15
1d
What is -17 (base 14) in base 4?
-111
Convert -7c (base 15) to base 7.
-225
-4 (base 7) to base 6
-4
What is 1111 (base 2) in base 5?
30
Convert 5 (base 11) to base 3.
12
27 (base 13) to base 16
21
-a4 (base 12) to base 6
-324
47 (base 10) to base 9
52
What is 0 (base 15) in base 2?
0
What is 14 (base 8) in base 13?
c
What is 43 (base 6) in base 13?
21
21 (base 10) to base 12
19
-180 (base 9) to base 14
-ad
Convert -32 (base 5) to base 9.
-18
252 (base 7) to base 10
135
Convert -133 (base 5) to base 16.
-2b
Convert -38 (base 9) to base 13.
-29
2 (base 7) to base 3
2
Convert -11 (base 12) to base 7.
-16
Convert e2 (base 15) to base 6.
552
Convert 23 (base 6) to base 9.
16
-2 (base 14) to base 12
-2
Convert 2 (base 11) to base 5.
2
11 (base 2) to base 14
3
What is -15 (base 12) in base 15?
-12
Convert 231 (base 9) to base 14.
d8
What is -2201 (base 3) in base 6?
-201
-51 (base 8) to base 4
-221
Convert -4 (base 13) to base 11.
-4
-6 (base 8) to base 4
-12
2000 (base 3) to base 16
36
-1 (base 6) to base 12
-1
Convert -131 (base 4) to base 6.
-45
What is 5 (base 10) in base 16?
5
Convert 321 (base 4) to base 12.
49
What is -122 (base 3) in base 6?
-25
Convert -4 (base 6) to base 4.
-10
What is 25 (base 6) in base 13?
14
What is -101111 (base 2) in base 8?
-57
Convert -1 (base 7) to base 13.
-1
-121 (base 3) to base 15
-11
-200 (base 5) to base 14
-38
Convert -121 (base 7) to base 14.
-48
What is 5 (base 15) in base 8?
5
Convert -231 (base 7) to base 3.
-11110
0 (base 15) to base 4
0
Convert -42 (base 6) to base 16.
-1a
41 (base 15) to base 8
75
Convert -4 (base 12) to base 6.
-4
What is 102 (base 11) in base 15?
83
Convert -26 (base 8) to base 15.
-17
What is -5 (base 11) in base 2?
-101
Convert 77 (base 8) to base 9.
70
Convert -100 (base 3) to base 9.
-10
What is -10a (base 13) in base 4?
-2303
What is -220 (base 4) in base 3?
-1111
Convert 9b (base 13) to base 12.
a8
What is -26 (base 12) in base 9?
-33
Convert 24 (base 5) to base 4.
32
What is -112 (base 4) in base 10?
-22
-168 (base 10) to base 5
-1133
-110011 (base 2) to base 15
-36
What is 42 (base 5) in base 3?
211
What is 220 (base 5) in base 9?
66
What is 3 (base 4) in base 12?
3
What is -b (base 16) in base 9?
-12
What is -3 (base 15) in base 5?
-3
10 (base 3) to base 8
3
What is -5 (base 14) in base 16?
-5
What is -1 (base 12) in base 9?
-1
Convert 4 (base 7) to base 16.
4
Convert 110100 (base 2) to base 9.
57
What is 121 (base 4) in base 8?
31
Convert 44 (base 10) to base 2.
101100
Convert 1221 (base 3) to base 15.
37
44 (base 5) to base 12
20
-1 (base 16) to base 14
-1
-12 (base 5) to base 14
-7
What is b5 (base 15) | {
"pile_set_name": "DM Mathematics"
} |
Let q = -793 - -801. Let h(b) = 2*b**2 + 3*b - 5. Let l be h(-4). Suppose 2*x - 2 = 4*i, -5*i - 2*x - l = -7*x. Solve -2*j + 4 = -z + 2*j, 4*j = -i*z - q for z.
-4
Suppose 3*l - 2*l = 4. Suppose l = 4*k - 4*g, k = -7*g + 3*g + 21. Solve 25 = -k*i, -4*r = -8*r - 4*i - 28 for r.
-2
Let l = -6 - -2. Let w be 6/(-3) - (l + 2). Suppose -v + 2*a + 5 = 0, -v + w*a - a + 17 = 0. Solve 4*o - v = -1, 3*k - 18 = -4*o for k.
2
Suppose 0 = -8*f + f + 105. Solve 3*u + f = 0, -o - 3*u = -6*o - 5 for o.
-4
Let x(r) = r - 1. Let o be x(-8). Let p = 11 + o. Let u be p + -2 - (3 - 3). Solve -10 = -5*i, 5*q - 3*i = -u*q - 26 for q.
-4
Suppose 21 = 3*y + 4*y. Suppose 4*o - 25 = -w, 0*o = 3*o + 3*w - 21. Solve 3*q + d - 9 = 0, -y*d = -o*d - 9 for q.
4
Suppose h + 24 - 71 = -3*t, 3*t - h = 43. Solve -5*i - l - t = 0, 5*i + 4*l = -l - 15 for i.
-3
Suppose 3*i = 2 + 7. Suppose 27 = 10*s - 23. Solve -i*d + d - 4*h + 26 = 0, 3*d = s*h - 16 for d.
3
Let v be 5/(150/20)*(-6)/(-1). Solve 5*c + 40 = -v*z + 7, 2*c = 2*z - 6 for z.
-2
Let u = 18 + -16. Suppose -u*p + 11 = -p. Solve -2*h + 9 + 5 = -2*m, -m - p = -3*h for h.
2
Let z(m) = m**2 + 25*m - 79. Let w be z(-28). Solve w*s + 2*i - 19 = 0, -3*i - 25 = -2*s + 2*i for s.
5
Suppose 12*g - 15 - 33 = 0. Solve 0*l + 13 = -g*i - l, -2*i + 1 = -l for i.
-2
Suppose -2*v - 12 = 4*a, -2*v + 4*a + a + 33 = 0. Suppose -31 + 39 = v*h. Solve h*r - 7*r + 2*j + 3 = 0, 4 = 4*r - 2*j for r.
-1
Suppose 3 = -5*w + 13. Suppose -w*n = -2 + 4. Let z be n/(-2) + (-8)/16. Solve z = 3*m - 15, 0*f - 3*f - 2*m + 4 = 0 for f.
-2
Suppose 0*f + 3*f = 27. Let x = f - -23. Solve 5*c - 10 + 43 = -2*y, -3*y = 4*c + x for c.
-5
Let f be 1/(2/8) + 2. Suppose -4959*u = -4926*u - 99. Solve -3*k = g + 6, -6*g - k = -u*g - f for g.
3
Let b be 2/1*18/(-12). Let s be b/9 + (-69)/9. Let q(a) = -a**3 - 9*a**2 - 9*a - 3. Let i be q(s). Solve t + 19 = -2*t - 4*g, i*t = -g - 9 for t.
-1
Suppose 0*n - 25 = -5*n. Suppose 0*p - n = -p. Suppose -2*v - 3*v = -5*z, z + 2*v - 6 = 0. Solve 23 = -z*u + 3*b, -2*b + 25 = -5*u - p for u.
-4
Let t(r) = r - 6. Let s be t(10). Let k = -21 + 23. Suppose -k*o = -o. Solve o = 2*a + s*f - 2*f - 12, -6 = -5*a + 3*f for a.
3
Suppose 2*x = 3*n - 15, -2*n + 4*x + 17 = 5*x. Let w be (n/(7/(-2)))/(-2). Solve -4*k + 5 = -5*r, -4*k - 2 = r - w for k.
0
Suppose 4*o - 5*k - 5 = 12, 5*o - 5*k - 20 = 0. Suppose 3*t + 5 = r, 0 = -2*t + o*r - 3 - 12. Suppose -z + 2 = -t. Solve -4*j + 11 = 5*p, p + z*j = -j for p.
3
Let x(w) = -w**2 + 17*w + 18. Let t be x(18). Suppose t*f + 31 = f. Let q be (2 - -3)*(2 + -1). Solve 0*k = q*j - 4*k - f, 5*k = j - 23 for j.
3
Suppose -4*i = -4*c - 0*c - 208, 2*i = 4*c + 102. Let t = i - 53. Solve 6 - 21 = 3*x + 2*u, -x + 5*u - 5 = t for x.
-5
Let w be ((-376)/(-16))/((-2)/4). Let b = 50 + w. Solve 12 = b*y - 7*y, 0 = 2*p - 2*y - 12 for p.
3
Let k be (14/16)/((-40)/(-320)). Solve -5*m - 3*s = 7, m - 3*m + 3*s = k for m.
-2
Suppose 0 = -9*z + 4*z + 3*g + 53, -4*z + 42 = -2*g. Suppose z*t - 12*t + 6 = 0. Solve -2*k - 1 = 4*q - 11, -5 = -4*q + t*k for q.
2
Let x = 222 + -217. Let k be 2/4*2 + (13 - 12). Solve 6*j - 20 = -2*t + 2*j, k*t = x*j - 25 for t.
0
Suppose 0 = 17*g + 4*g - 294. Solve -3*c - u = -g + 3, 2*u = -2*c + 10 for c.
3
Let g be (-836)/(-76) + 0 + -8. Solve g*t - t - 5*a - 35 = 0, 5*t = -4*a + 5 for t.
5
Suppose -4*h - 4 + 0 = 0. Let q(w) = w**3 + 2*w**2 - 1. Let o be q(h). Suppose o = -7*x + 5 + 2. Solve -4*d + r + 14 = 0, 2*d + 5*r - 19 + x = 0 for d.
4
Let x be 22/8*1 - (-20)/80. Solve -3*l + l = -r - 9, -x*l + 7 = 5*r for l.
4
Let w = 151 + -267. Let y = -113 - w. Solve -2*j + 4*x = y*x + 5, 2*j - 4*x = -14 for j.
-1
Suppose n - 37 = 3*w, 7 = 2*n + 5. Let m be 4/(w/(-9)) + 2. Solve 4*h + 2*q + 18 = q, -m*h - 21 = 2*q for h.
-5
Let v(n) = -2*n**2 + 8*n + 58. Let p be v(7). Solve 2*w + 4 = w - 5*s, 0 = -4*w - 2*s - p for w.
-4
Let d be (30*5/30)/(-3 - 10/(-3)). Suppose -2*c = -0*c - 6. Solve -c*t + o = -4 - 5, -5*t = 4*o - d for t.
3
Let t be (-12)/54 - (-608)/(-18). Let k = -31 - t. Solve 5*r + 25 = 0, 8*r + 28 = -f + k*r for f.
-3
Suppose 6 = -42*w + 44*w. Solve s = -3*j, -w = -j + s + 1 for j.
1
Let q be 5 + ((-8)/(-12)*-3 - -1). Solve -i - q*i - r = -8, 4*i + r - 7 = 0 for i.
1
Suppose 4*f - 3*p - 32 = 0, 5 = -4*p - 11. Solve -a - 3*s - 23 = s, 5*a - f*s - 10 = 0 for a.
-3
Let r = 6 + -1. Let p = r - 13. Let l = p + 11. Solve 0 = 5*k - b + 2, 2*b = 3*k - l for k.
-1
Let j(z) = -z**3 - 11*z**2 + 26*z + 1. Let d be j(-13). Solve 0*o + o + d = 0, 2*b + 6 = 2*o for b.
-4
Suppose -m + 4*m - 15 = 0. Let a(p) = 49*p + 2. Let d be a(-1). Let n = d + 51. Solve m*b = -4*l - 4, 0 = -5*l + n*b - 5 for l.
-1
Let k(v) = -v**3 - 7*v**2 - 5*v - 3. Let g be k(-6). Let y be (3/2)/(g*8/(-144)). Solve -4*b = -4, -b = -4*d - y*b + 18 for d.
4
Suppose 9 = 2*g + g. Suppose s + 3*k = 2*s - 3, k - 15 = -5*s. Solve 0 = -2*n + s*n + 2*i, -i + g = -n for n.
-2
Suppose -3*n + 7*n = 60. Suppose 0 = z - 6*z + n. Solve u + 24 + 0 = -5*q, -z*u - 28 = 4*q for q.
-4
Suppose 0 = -5*y + 11 + 29. Let o be (3/2)/((-6)/y). Let l(t) = t**2 - 1. Let b be l(o). Solve -11 = -i - 4*h + b, 8 = 2*i + 3*h for i.
-2
Suppose -411*c + 406*c = -20. Solve j = -1, -11 = -3*o - 2*j + c*j for o.
3
Let q = -631 - -633. Solve 0 = -s - 0*s - 2*w + 8, -q*w = -6 for s.
2
Let h be (3 - 9) + 8 + 6/3. Solve 4*s - 5 - 3 = -h*l, 0 = -3*l - 4*s + 10 for l.
-2
Let u be (-60)/(-36)*(-3)/(-1). Solve d + l = -2*l - 9, 0 = u*d - 3*l - 27 for d.
3
Let s(z) = z**2 - 13*z + 5. Let c be s(12). Let h = c - -12. Let b = 5 - h. Solve 0 = 3*y - 4*j + 3*j - 10, 4*y - 5*j - 28 = b for y.
2
Let y be 6/(-27) + 76/18. Let d(i) = -i**2 + 4. Let c be d(0). Solve -25 = 5*o, c*q + 2 = -y*o - 6 for q.
3
Let r = -171 + 185. Solve -1 = 5*v + 4, r = 5*f - 4*v for f.
2
Let l be -1*(-4)/(-2) - -4. Suppose -48 = -8*p + 2*p. Let f(t) = t**3 - 9*t**2 + 7*t + 17. Let n be f(p). Solve -l*g = -v - 4*g + 3, -v + 4*g = n for v.
-1
Suppose 9*h - 12 = 6*h. Suppose -2*f + 41 = d + 5, -h*d = -5*f - 92. Solve -3*y - 3 = 5*c, 4*c + 4*y + d = 8*y for c.
-3
Suppose -2*c + 9 = -2*r + 5*r, 2*c = 3*r - 9. Suppose c = 5*n - 72 - 53. Solve 4*j - 4*x + 2 = -22, -n = 5*j - 4*x for j.
-1
Let p = 2095 + -2086. Solve 2*a + 13 - 1 = -4*c, -a + c + p = 0 for a.
4
Let j(n) = -4*n**2 - 14*n - 4. Let i be j(-3). Let y = -2 - -4. Suppose -h - p = y*p - 21, i*h - 5*p = -2. Solve -x + 10 = 5*g, -x = -2*x - 4*g + h for x.
5
Let o = -22 - -40. Suppose 16 = 2*i - 28. Let j = i - o. Solve -j*u - 16 = 0, -24 = -2*p + 7*u - 2*u for p.
2
Suppose 0 = -2*d - 3*o - 3, -48*o + 3 = -49*o. Solve 0 = -3*k + d*n - 6*n, -15 = -3*n for k.
-5
Suppose -4*f - 2*y = 102, 3*y = -4*f - 4 - 93. Let l be (-48)/f - 4/(-14). Solve 5*t + 4*p + 10 = -3, l*t + 13 = p for t.
-5
Let c = 408 - 403. Solve 5*d - 9 = 3*r, 0 = -5*d + r - c*r - 12 for d.
0
Let k be 1/(-10 - 561/(-55)). Solve -4*x + y = 8, y = k - 1 for x.
-1
Suppose 5*z - 15 = -2*h - 3*h, 0 = -4*z. Let g = -27 + 48. Suppose -4 = c - g. Solve h*d = -2*q + c, d + q + 2*q - 8 = 0 for d.
5
Let c be (-22)/(-10) - (-3)/(-15). Let i be c - 0/(5 + -2). Let t be (-28)/(-63) - (-770)/90. Solve 4*h - i*z = -z - t, -h + 4*z = 21 for h.
-1
Suppose -m - 2*j - 18 = 2*j, -2*m - 3*j = 11. Suppose -3833 = -9*b - 3797. Suppose -2*p + 4 = -2. Solve -p*k - 5*q = 0, m*q - q = -b*k for k.
0
Suppose -3*d + 0 = -3. Let b be ((-48)/128)/(9/(-48)). Solve -m + 7 = -x + b, 5*x = -3*m - d for m.
3
Suppose 2*d = -7*d + 90. Solve -3*x + 5*j - d - 14 = 0, 0 = 5*x + 2*j + 9 for x.
-3
Let w be ((-31)/2)/(4/(-40)). Suppose 5*b = 5*a + w, 3*a = -a + 5*b - 127. Let o = -25 - a. Solve 2*m = -10, 5*y + m = y + o for y.
2
Suppose -4*b - 4*u + 59 = -b, u + 22 = b. Suppose 4*t = t + b. Solve -3*n + 4*i - 3*i + t = 0, i = -3*n + 17 for n.
4
Let y = 0 - -2. Let b = 3 - 3. Solve b = w - y*w - 4*k + 10, 0 = 4*w - 3*k - 2 for w.
2
Let p be (12/(-5))/(2/(-5)). Let b(k) = -k**3 + 8*k**2 - 12*k + 6. Let o be b(p). Solve 2*n + 24 = 4*m - 2*n, -5*n + o = 4*m for m.
4
Suppose -71*n - 75 = -96*n. Solve 3 = 2*i - d, 0 = 2*i - 0*i - n*d - 1 for i.
2
Suppose 0 = -2*w - 10, -3*v - 6*w = -4*w - 8. Solve v = -4*o + 3*j, 5*j - 1 = o + 9 for o.
0
Suppose 0 = 2*z + 5*l + 2, 2*l - 6 = -3*z - l. Solve 0 = 5*f + z*r + 5, -r = -4*f - 5*r for f.
-5
Suppose d + 3 | {
"pile_set_name": "DM Mathematics"
} |
2/3*l**4 + k*l**5 + 1/3*l**3 + 0 + 0*l = 0.
-1, 0
Let z(l) be the third derivative of -16*l + 0 + 3*l**3 - 1/20*l**5 - 1/8*l**4 + 6*l**2. Solve z(p) = 0 for p.
-3, 2
Suppose 56 = -65*g + 58*g. Let l be 1 - 6/30 - g/(-20). Suppose -4/5*n**3 - 2/5*n**2 + 0 + l*n**4 + 4/5*n = 0. What is n?
-1, 0, 1, 2
Let h = -106391 - -106395. Factor -27/11*t**5 + 0*t + 0 - 56/11*t**h - 2/11*t**2 - 31/11*t**3.
-t**2*(t + 1)**2*(27*t + 2)/11
Let v be 15 + 2*(-1 - -2). Let j(g) = g**3 - g**2 - 5*g + 2. Let f be j(3). Factor -8*b + 60*b**3 + 40*b + v + 116*b**2 - f + 36*b.
4*(b + 1)*(3*b + 1)*(5*b + 3)
Factor 21*z + 514*z - 16665*z**2 + 33317*z**2 - 16662*z**2.
-5*z*(2*z - 107)
Let j = -338 - -342. Factor -1 + v**2 - v - 15 + 10 - j*v.
(v - 6)*(v + 1)
Let g be (-2)/(-5) - 9374/(-215). Suppose -12*v - 85*v**2 + 14*v + g*v**2 + 43*v**2 = 0. What is v?
-1, 0
Let u(s) = -3*s**2 - 14*s + 82. Let h be u(-8). Suppose 16 = -h*g - 4*l, 20 = g + g - 5*l. Factor -9/5*q**3 + g - 9/5*q**2 - 3/5*q - 3/5*q**4.
-3*q*(q + 1)**3/5
Let z(w) = -w**3 - 4*w**2 - 3*w - 1. Let j be z(-2). Let x be (0 - (0 + j))/((-6)/(-100)). Factor 43 + 5*g**2 + x - 5*g - 103.
5*(g - 2)*(g + 1)
Let i = -821 - -850. Solve -i*g**2 - 33*g**2 + 10*g + 67*g**2 - 75 = 0.
-5, 3
Let z be 16/4 - (-3400)/15*1. Let a = 231 - z. Factor -4/3*x**2 - 1/3 - 7/6*x + 1/3*x**4 + 1/6*x**5 - a*x**3.
(x - 2)*(x + 1)**4/6
Let a(i) be the third derivative of 1/30*i**6 - 10*i**3 + 0*i + 7/6*i**4 - 38*i**2 + 0 + 7/15*i**5. Factor a(w).
4*(w - 1)*(w + 3)*(w + 5)
Let t = 251451 - 1256891/5. Factor -36 + t*k - 188/5*k**2 + 4/5*k**3.
4*(k - 45)*(k - 1)**2/5
Let v be 60/9*(-54)/465. Let b = v - -230/217. Solve -2/7*c**2 + b - 8/7*c + 8/7*c**3 = 0 for c.
-1, 1/4, 1
Suppose 0 = 60*b - 577 + 157. Let q(c) = -3*c**2 + 362*c - 11165. Let t(n) = -9*n**2 + 1084*n - 33496. Let s(w) = b*q(w) - 2*t(w). Factor s(g).
-3*(g - 61)**2
Let d(r) be the first derivative of 16*r**3 + 83*r**2/2 - 26*r - 67. Let t(o) = -47*o**2 - 82*o + 24. Let p(x) = -2*d(x) - 3*t(x). Let p(y) = 0. Calculate y.
-2, 2/9
Suppose 7*z - 395 = -115. Let r be (2 - 1)/(-5*(-4)/z). Factor -6*k**3 - 1 - 11*k**4 - 12*k + 14*k**4 + 1 - 21*k**r.
3*k*(k - 4)*(k + 1)**2
Let c(t) be the second derivative of t**4/28 + 27*t**3/14 + 39*t**2 + 1221*t. Factor c(n).
3*(n + 13)*(n + 14)/7
Let c be 121/2 + -2 + (-15)/(-6). Suppose -37 + c = 12*w. Factor 2/7*m**4 - 2/7*m + 2/7*m**3 + 4/7 - 6/7*m**w.
2*(m - 1)**2*(m + 1)*(m + 2)/7
Let i(f) be the second derivative of -f**7/42 + 76*f**6/15 + 219*f**5/4 + 1421*f**4/6 + 1586*f**3/3 + 636*f**2 - 4607*f. Solve i(d) = 0.
-2, -1, 159
Let h(o) be the third derivative of -o**8/2688 - 29*o**7/5040 - o**6/72 + 5*o**4/4 + 2*o**2 + 32*o. Let g(p) be the second derivative of h(p). Factor g(c).
-c*(c + 5)*(5*c + 4)/2
Let -543*k + 275 + 230*k**3 - 660*k**2 - 87*k + 1540*k**4 - 1555*k**4 = 0. What is k?
-1, 1/3, 5, 11
Suppose 29*c - 30 = 19*c. What is z in 624*z + 101*z**c + 127*z**3 + 48*z**4 + 536*z**2 + 3573*z**5 - 3569*z**5 + 288 = 0?
-3, -2
Let n(v) = v**4 - 2*v**3 + v**2 - v + 1. Let a(q) = -2*q**5 + 2*q**4 - 2*q**3 + 6*q**2 - 8*q + 4. Let s(g) = -a(g) + 4*n(g). Factor s(p).
2*p*(p - 1)**2*(p + 1)*(p + 2)
Let c(o) = -5*o**2 + 464*o + 924. Let t(p) = -2*p**2 - 4. Let h(d) = -3*c(d) + 6*t(d). Factor h(k).
3*(k - 466)*(k + 2)
Let v(t) be the third derivative of t**7/2625 + 131*t**6/1500 + 2111*t**5/375 - 77*t**4/5 - 2904*t**3/25 + 2*t**2 - 1818*t. Solve v(u) = 0.
-66, -1, 2
Suppose 2/5*p**3 + 624/5 + 308/5*p + 46/5*p**2 = 0. What is p?
-13, -6, -4
Let f be (-85)/119*448/(-160). Solve -3/5*k**f + 21/5 + 18/5*k = 0.
-1, 7
Factor -14/5*h**2 - 2/5*h**3 + 0*h + 72/5.
-2*(h - 2)*(h + 3)*(h + 6)/5
Let l(j) be the second derivative of 216*j**2 + 1/80*j**5 + 3/4*j**4 - 2*j - 50 + 18*j**3. Factor l(y).
(y + 12)**3/4
Let s(r) = -22*r**2 + 200*r - 178. Let l(y) = -5*y**2 + 50*y - 45. Let d(n) = n**2 + 17*n + 51. Let t be d(-5). Let o(k) = t*l(k) + 2*s(k). Factor o(p).
(p - 49)*(p - 1)
Let x = 23073 - 46137/2. Factor -8 + 18*w - 14*w**2 + x*w**3 - 1/2*w**4.
-(w - 4)*(w - 2)**2*(w - 1)/2
Suppose -77*y + 248*y - 83*y - 78*y = 0. Let q(s) be the first derivative of 0*s**2 + 1/28*s**4 + y*s + 13 - 2/21*s**3. Suppose q(k) = 0. Calculate k.
0, 2
Let u(b) be the first derivative of 1/60*b**5 + 12*b + 1/3*b**2 + 12 + 1/9*b**4 + 5/18*b**3. Let w(i) be the first derivative of u(i). Solve w(z) = 0.
-2, -1
Let l(m) be the third derivative of -m**8/56 + 13*m**7/70 - 3*m**6/5 + m**5/20 + 7*m**4/2 - 6*m**3 + m**2 - 89. Solve l(z) = 0 for z.
-1, 1/2, 2, 3
Let k = -1 - -3. Let d be 92/22 - (-6)/(-33). What is n in d*n**3 - 12*n - 19*n**k + 4 + 4 + 19*n**2 = 0?
-2, 1
Let r = 281 + -278. Factor -c**4 + 0*c - 7*c**r + 3*c**2 - 14 + 0*c**4 + 19*c.
-(c - 1)**2*(c + 2)*(c + 7)
Let r = 95 + -87. Suppose -22*x = -17*x - 10. Find p, given that -2 + 2*p - 4*p + 6*p - x*p**2 + r = 0.
-1, 3
Let s(p) be the third derivative of p**6/900 + 11*p**5/5 + 5445*p**4/4 + 531*p**2 + p. Let s(t) = 0. What is t?
-495, 0
Let m = -36 - -38. Factor 75*r**m - 35*r**3 - 18*r**4 + 8*r**3 + 6*r**2 + 9*r**4 + 3*r**5.
3*r**2*(r - 3)**2*(r + 3)
Let -77/2*i - 1/4*i**4 + 3/4*i**2 - 26 + 13*i**3 = 0. What is i?
-1, 2, 52
Let d(n) = 6*n**3 + 9*n**2 + 3*n - 18. Suppose 4*m - 9*m - 45 = 0. Let w(u) = 3*u**3 + 4*u**2 + 2*u - 9. Let r(x) = m*w(x) + 5*d(x). Factor r(t).
3*(t - 1)*(t + 1)*(t + 3)
Let g(z) be the second derivative of z**7/49 - 151*z**6/105 + 24*z**5/35 + 50*z**4/21 + 7938*z. Solve g(t) = 0.
-2/3, 0, 1, 50
Suppose -2*x = 3*r - 6*r - 25, 30 = 3*x - 3*r. Let -3*g**3 - 3*g**3 + 10*g**3 + 12*g**3 - 11*g**x - 20*g**4 + 15*g**5 = 0. What is g?
0, 1, 4
Let q(k) = -158*k - k**2 - 3 + 3 - 3*k**2 + k**4 + 3*k**2 + 146*k**3. Let p(y) = 144*y**3 - 160*y. Let m(w) = 3*p(w) - 4*q(w). Factor m(b).
-4*b*(b - 1)*(b + 1)*(b + 38)
Let m(j) be the first derivative of 50*j**3/21 + 46*j**2/7 - 16*j/7 + 308. Factor m(d).
2*(d + 2)*(25*d - 4)/7
Solve -2/21*i**4 - 21600/7*i - 184/21*i**3 - 1920/7*i**2 - 36000/7 = 0 for i.
-30, -2
Let h(w) be the first derivative of 4*w**3/27 - 50*w**2/3 - 540. Factor h(o).
4*o*(o - 75)/9
Let y(g) be the second derivative of -52/9*g**3 - 1352/3*g**2 - 3*g - 1/36*g**4 - 7. Factor y(b).
-(b + 52)**2/3
Suppose 5*a + 3 = 23. Let h be -2 + a + -2 - -2. Factor -2 - 2*n**2 + h*n**2 + 2*n**2.
2*(n - 1)*(n + 1)
Let c = 51 - 42. Let a be 30/c - (-32)/(-24). Factor 48*y - 21*y + 29*y + 196 + 4*y**a.
4*(y + 7)**2
Let u(s) be the third derivative of -1/240*s**5 + 23/96*s**4 + 0 + s**3 + 0*s - 34*s**2. Suppose u(a) = 0. Calculate a.
-1, 24
Let a be (236 + -244)/(4*-1). Factor -8/3*u**a - 10/3*u + 2*u**3 + 4/3.
2*(u - 2)*(u + 1)*(3*u - 1)/3
Let a be -1*2 + 10 + (-708652)/88578. Let f = a - -8438/6327. Factor -4/3*v**2 + 0*v**3 + 0*v + 0 + f*v**4.
4*v**2*(v - 1)*(v + 1)/3
Let i = -18634815/23 + 810211. Suppose -2/23*d**3 + 0 + 40/23*d + i*d**2 = 0. What is d?
-1, 0, 20
Let h(p) be the third derivative of -p**6/2520 + p**5/140 - 5*p**4/168 - 46*p**3/3 - 128*p**2. Let b(g) be the first derivative of h(g). Factor b(l).
-(l - 5)*(l - 1)/7
Let a = -35 - -31. Let x(s) = 2*s + 11. Let t be x(a). Determine g so that 17*g**3 - 20*g**4 + 6*g**3 - 14*g**3 + 7*g**t = 0.
0, 4/5
Let x(n) = -3*n**2 - 98*n - 792. Let q be x(-18). Let w be 60/25*(-1)/(-3). Factor w*u**4 + 12/5*u**3 + 8/5*u + q - 4*u**2 - 4/5*u**5.
-4*u*(u - 1)**3*(u + 2)/5
Let d(q) be the second derivative of -q**5/4 - 25*q**4/4 - 110*q**3/3 - 2*q - 906. What is y in d(y) = 0?
-11, -4, 0
Factor 22*g - 212 - 98 + 78 - g + 3*g**2 - 2*g**2.
(g - 8)*(g + 29)
Solve 6744/7*t + 5685192/7*t**2 + 2/7 = 0.
-1/1686
Suppose 1485/4 + 1/4*p**2 + 151/2*p = 0. What is p?
-297, -5
Let u = -180/11 + 1091/66. Let r(z) be the first derivative of 1/2*z**4 - 4/9*z**3 + 1/18*z**6 - 17 + 0*z + u*z**2 - 4/15*z**5. Factor r(b).
b*(b - 1)**4/3
Let g = -248 - -250. Solve 30*u**4 - 83*u**2 - 3*u + 41*u**g + 12*u**2 + 3*u**3 = 0 for u.
-1, -1/10, 0, 1
Let u = 5137 - 5135. Factor -2/3*t**u - 4/3 - 7/3*t + 1/3*t**3.
(t - 4)*(t + 1)**2/3
Let f(p) be the second derivative of 0*p**2 - 84*p + 0 + 0*p**3 + 0*p**4 - 1/10*p**5 - 1/6*p**6. Determine r, given that f(r) = 0.
-2/5, 0
Let m(p) be the first derivative of -p**5/45 - 2*p**4/3 - 6*p**3 - 141*p**2/2 + 162. Let y(q) be the second derivative of m(q). F | {
"pile_set_name": "DM Mathematics"
} |
at 0 + 0*z - 18/5*z**4 - 8*z**3 - 24/5*z**2 - 2/5*z**u = 0.
-6, -2, -1, 0
Let b(z) = -105*z**4 + 45*z**3 + 258*z**2 - 45*z - 51. Let h(a) = -2*a**4 + 5*a**2 - 1. Let r(c) = -b(c) + 51*h(c). Factor r(i).
3*i*(i - 15)*(i - 1)*(i + 1)
Let w(h) be the first derivative of -h**6/270 + 13*h**5/1080 - h**4/216 - 28*h**3/3 - h**2/2 + 50. Let s(y) be the third derivative of w(y). Factor s(o).
-(o - 1)*(12*o - 1)/9
Let n be ((-17)/4 + 2/(-8))*-6. Suppose -4 = 25*s - n*s. Solve 46*d**s - 44*d**2 - 3*d**3 + 8*d**5 - 7*d**5 = 0 for d.
-2, 0, 1
Let p be 9/(-6) - 15/(-2). Factor 334*b**4 - 60*b - 329*b**4 - 40*b**2 + p*b**3 - b**3.
5*b*(b - 3)*(b + 2)**2
Let j(v) be the third derivative of -v**6/144 - 4*v**5/45 - 19*v**4/48 - v**3/2 - 3332*v**2. Solve j(m) = 0 for m.
-3, -2/5
Let g(l) be the third derivative of -2*l**2 + 2/27*l**4 + 0*l**3 + 1/90*l**6 - 1/945*l**7 + 39*l - 2/45*l**5 + 0. Factor g(n).
-2*n*(n - 2)**3/9
Suppose 31 - 23 = 3*b + w, -5*w = -b + 8. Let l be (-2)/(-6) - b/108*-15. Factor -3/4*f**2 + l*f + 0.
-3*f*(f - 1)/4
Let t(l) be the third derivative of 0*l**4 + 0 + 0*l + 1/126*l**7 - 107*l**2 + 0*l**5 + 0*l**3 + 7/72*l**6. Solve t(p) = 0 for p.
-7, 0
Let p(m) be the first derivative of m**7/1120 - 9*m**6/160 - 7*m**5/40 + 97*m**3/3 - 2*m - 186. Let i(g) be the third derivative of p(g). Factor i(a).
3*a*(a - 28)*(a + 1)/4
Let z(l) be the first derivative of -l**4/34 - 80*l**3/51 - 77*l**2/17 - 76*l/17 - 2348. Suppose z(r) = 0. Calculate r.
-38, -1
Let i = -19 - -81. Let z = 89 - i. Factor -15 + 87 + 3*k**4 + z*k**3 + 132*k + 26*k**2 + 64*k**2.
3*(k + 2)**3*(k + 3)
Let r(w) = -24*w**3 - 2*w**2 + w - 1. Let m(o) = -95*o**3 - 26*o**2 + 112*o - 220. Let a(f) = -5*m(f) + 20*r(f). Factor a(z).
-5*(z - 6)**3
Let o(v) be the third derivative of -v**6/120 - v**5/6 + 29*v**4/8 - 24*v**3 - 2*v**2 + 391*v. Factor o(y).
-(y - 3)**2*(y + 16)
Let -8*t**2 + 30*t**5 - 16*t**3 - 1061*t - 10*t**4 + 1061*t - 32*t**5 = 0. What is t?
-2, -1, 0
Let f(s) be the first derivative of -s**5/30 - s**4/3 - s**3 - s**2 + 5*s - 84. Let n(h) be the second derivative of f(h). Factor n(p).
-2*(p + 1)*(p + 3)
Let r be (((-9)/10)/9)/((3/(-30))/(30/60)). Find q such that -1/2*q**3 - 1/4*q**2 + 0 + r*q + 1/4*q**4 = 0.
-1, 0, 1, 2
Suppose 592/5*v - 4/5*v**4 - 148/5*v**3 + 168/5*v**2 - 608/5 = 0. What is v?
-38, -2, 1, 2
Let n = 5140949/7 + -734419. Factor -4/7*f**2 + 12 + n*f.
-4*(f - 7)*(f + 3)/7
Let m = -3468 - -3468. Let l(h) be the third derivative of -7/66*h**4 - 19/330*h**5 + 0*h - 19*h**2 - 1/11*h**3 - 2/165*h**6 + m. Solve l(u) = 0.
-1, -3/8
Let g(w) = -3*w**5 + 125*w**4 - 2*w**2 + 4*w. Let v(z) = -3*z**5 + 126*z**4 - 3*z**2 + 6*z. Let a(y) = -3*g(y) + 2*v(y). Factor a(u).
3*u**4*(u - 41)
Let u(f) be the first derivative of -14*f**3/15 - 37*f**2/5 - 4*f - 1931. Factor u(m).
-2*(m + 5)*(7*m + 2)/5
Suppose 5*j + 3*m - 69 = 0, -4*m - 25 + 49 = -68. What is t in -1/2*t**5 + 5*t**4 + 0 + 0*t**2 + j*t - 25/2*t**3 = 0?
0, 5
Let s(f) be the first derivative of 215 + 3/34*f**4 + 2/17*f**3 + 1/17*f**2 + 0*f + 2/85*f**5. Factor s(n).
2*n*(n + 1)**3/17
Let l(u) be the third derivative of -3*u**5/20 - u**4/8 + 25*u**3/6 + 61*u**2. Let r(i) = -9*i**2 - 3*i + 24. Let w(y) = -6*l(y) + 5*r(y). Factor w(v).
3*(v + 2)*(3*v - 5)
Let y(d) = 63*d**2 - 1372*d - 235298. Let f(g) = 25*g**2 - 686*g - 117649. Let t(o) = 5*f(o) - 2*y(o). Suppose t(l) = 0. What is l?
-343
Suppose -4*z - 6 = 3*y, 4*z + 240*y - 8 = 244*y. Let z - 2/5*k - 2/15*k**2 = 0. Calculate k.
-3, 0
Let j = 16 + -14. Suppose -i + 2 = -3*n, -j*i + 3*i - 2*n = 2. Determine c so that -6*c + 131 - 99 + i*c**2 - 10*c + 0*c = 0.
4
Let n = 288800/3 + -96265. Let 35/3*j**2 + 0*j + 5/3*j**5 - 5*j**4 - n*j**3 - 20/3 = 0. Calculate j.
-1, 1, 2
Let p(v) be the second derivative of 0 + 0*v**3 + 1/30*v**5 + 1/12*v**4 + 13*v**2 + 15*v. Let a(n) be the first derivative of p(n). Factor a(c).
2*c*(c + 1)
Let m be -7 + 9 - (1/3)/((-12)/(-72)). Let t = -4/63 - -71/126. Factor t*o**2 - 2*o + m.
o*(o - 4)/2
Find q, given that -8100*q - 8315 - 180*q**3 + 5173 - 6983 - 1144*q**2 - 73*q**2 - 5*q**4 - 853*q**2 = 0.
-15, -3
Let w(f) be the third derivative of 0 - 1/420*f**7 - 1/672*f**8 + 1/24*f**4 + 1/80*f**6 + 0*f + 0*f**3 + 1/24*f**5 - 117*f**2. Let w(y) = 0. Calculate y.
-1, 0, 2
Let p(u) be the third derivative of -u**7/5040 - u**6/360 - u**5/60 + 7*u**4/8 + 19*u**2 - 2. Let g(h) be the second derivative of p(h). Factor g(s).
-(s + 2)**2/2
Let n(d) = -968*d**2 - 4. Let a be n(1). Let b be (-4)/(-6)*a/(-48). Factor -9/2*w - b - 3/8*w**2.
-3*(w + 6)**2/8
Suppose 4*q - 3*z = 9, 0*z = -3*q + 2*z + 7. Factor 3*l**2 - 5*l**4 + 10*l**3 + q*l**2 - l**2 - 10*l.
-5*l*(l - 2)*(l - 1)*(l + 1)
Let i be -70*3/(75/(-10)). Let 6*d**2 + 20*d - 2*d**3 - i*d + d**3 = 0. Calculate d.
0, 2, 4
Suppose -12*s = -0*s - 20*s + 48. Let p(d) be the second derivative of 1/3*d**4 + d**3 - 1/5*d**s + d**2 - 1/5*d**5 + 0 - 24*d - 1/21*d**7. Solve p(j) = 0.
-1, 1
Let d(z) = 21*z**2 - 240*z - 4776. Suppose -261*w + 260*w = -1. Let v(s) = -2*s**2 - 2. Let m(o) = w*d(o) + 12*v(o). Factor m(a).
-3*(a + 40)**2
Let a(i) be the first derivative of -i**5/4 - 35*i**4/8 + 65*i**3/4 + 385*i**2 - 2420*i - 6631. Determine c, given that a(c) = 0.
-11, 4
Let n(o) be the third derivative of -1/6*o**4 - 2/15*o**5 + 0 + 0*o + 170*o**2 + 4/3*o**3 + 1/30*o**6. Factor n(t).
4*(t - 2)*(t - 1)*(t + 1)
Let m = 54841/40 - 1371. Let t(a) be the third derivative of -a**3 - 1/8*a**4 + m*a**6 - 3/70*a**7 + 0 + 0*a + 1/4*a**5 - 14*a**2. Let t(l) = 0. What is l?
-1, -2/3, 1
Let z(o) be the third derivative of -1/10*o**5 + 0*o**3 + 0*o + 1/40*o**6 - 35*o**2 + 0 + 1/8*o**4. Factor z(m).
3*m*(m - 1)**2
Factor 903168/5 + 2688/5*l + 2/5*l**2.
2*(l + 672)**2/5
Factor -9/7*d - 3/7*d**2 - 5/7 + 1/7*d**3.
(d - 5)*(d + 1)**2/7
Factor 512*d + 68*d**3 + 897 + 2*d**4 - 2494 + 897 + 354*d**2 + 924.
2*(d + 1)**2*(d + 4)*(d + 28)
Suppose 0 = -3*j - 3*c + 63, -5*j + 314 = -3*c + 257. Let g(a) be the first derivative of -35/2*a - 5/6*a**3 + 10*a**2 - j. Solve g(r) = 0 for r.
1, 7
Let o = 59951/10 - 5995. Let w(l) be the second derivative of o*l**2 - 2/15*l**3 + 1/10*l**4 - 1/25*l**5 + 6*l + 1/150*l**6 + 0. Solve w(p) = 0.
1
Suppose -5*o = -2*t - 20, 7*o = 3*o - 5*t + 49. Determine h, given that 83 - 40 + 14*h**2 - 41 + o*h**3 + 10*h = 0.
-1, -1/3
Let b(z) = 7*z**3 - 500*z**2 + 702*z - 138. Let p be b(70). Find m, given that -12/5 + 2/15*m**3 + 14/5*m - 16/15*m**p = 0.
2, 3
Suppose 6 = 2*c + 2. Factor -39*m**c - 32*m + 28*m**2 + 28 - 4*m + 19*m**2.
4*(m - 1)*(2*m - 7)
Let k(g) = g**3 + 2*g**2 - 70*g - 71. Let a be ((1 - 1) + (4 - 2))/(-2). Let m be k(a). Factor m - 27/4*v**2 - 3*v**4 + 9*v**3 + 0*v.
-3*v**2*(2*v - 3)**2/4
Let y(t) be the second derivative of t**4/6 - 155*t**3/3 - 156*t**2 - 7*t - 158. Factor y(q).
2*(q - 156)*(q + 1)
Suppose 18*y = -11*y + 203. Let s(q) = 11*q**4 - q**3 - 6*q - 12. Let l(j) = -13*j**4 + j**3 + j**2 + 7*j + 14. Let k(h) = y*s(h) + 6*l(h). Factor k(r).
-r**2*(r - 2)*(r + 3)
Factor 316*u + 22*u**2 + 12482/11.
2*(11*u + 79)**2/11
Let f = -105268 + 2000524/19. Find o, given that 50/19 + 792/19*o**3 - 348/19*o**2 - 70/19*o - f*o**4 = 0.
-1/3, 1/2, 5/6
Let y be 2/(2 - -2)*6. Let p(g) = -16*g - 542. Let m be p(-34). What is n in 279*n - 1 + 3*n**m + 6 - 288*n + n**y = 0?
-5, 1
Let m(i) = -3*i**2 + 12*i. Let x be m(4). Suppose -4*r + 20 = 5*c, 2*c + c = x. Factor 2*t**2 - 2*t**r - 5*t**3 + 2*t**5 - 2*t**4 + 5*t**5.
t**2*(t - 1)*(t + 1)*(5*t - 2)
Let i = -25443 + 25446. Let q(f) be the third derivative of 2/3*f**i + 5/12*f**4 + 0*f + 0 - 21*f**2 + 1/10*f**5. Determine p so that q(p) = 0.
-1, -2/3
Let r(h) be the first derivative of -2*h**3/7 + 726*h**2/7 - 4302*h/7 - 2527. Factor r(v).
-6*(v - 239)*(v - 3)/7
Let u(s) be the third derivative of 0*s - 9/50*s**5 - 3/200*s**6 + 1/560*s**8 + 16*s**2 - 1 + 0*s**4 + 0*s**3 + 2/175*s**7. Let u(j) = 0. Calculate j.
-3, 0, 2
Let x(z) be the second derivative of 1/80*z**5 + 0 + 0*z**2 - 16*z + 1/48*z**4 + 0*z**3. Let x(g) = 0. What is g?
-1, 0
Factor 1/9*d**3 + 16810/9 + 287/3*d - 8*d**2.
(d - 41)**2*(d + 10)/9
Let n = -76256 + 381281/5. Factor -1/5*o**2 + 1/5 + n*o**3 - 1/5*o.
(o - 1)**2*(o + 1)/5
Suppose -2*m = -5*w + 20, -m = -2*m. Suppose -2*p + 3*v = w*v - 3, -p + | {
"pile_set_name": "DM Mathematics"
} |
k + 2. Let o be j(0). Put t, o, 2/19 in descending order.
t, o, 2/19
Let m = 0.0167 - 47.9167. Let d = -48 - m. Sort -2, d, -1/4 in ascending order.
-2, -1/4, d
Let l be (-4 + 3)/(84/20 + -4). Let u = 7 - 1. Suppose 0 = -5*q + u*q - 2. Put l, q, 0 in descending order.
q, 0, l
Let a = -6117.8 - -6117.83. Let l = 4 - 4.5. Sort l, -0.07, a in increasing order.
l, -0.07, a
Let i = 42932 + -42930. Let r be -24*((-15)/(-6) + -2). Put 4, r, -4, i in ascending order.
r, -4, i, 4
Let n = -957/52 + 73/4. Let l be (-1)/(-3)*(2 + 16). Let d be 1 - (l/36)/(1/3). Sort n, d, -2/11.
-2/11, n, d
Let b(n) = 2*n - 1. Let w be b(3). Suppose -563*g + 566*g + 2*u = -4, -2*g - 3*u = 11. Sort -6, w, g, -5 in decreasing order.
w, g, -5, -6
Let q = -337 + 415. Let z = 75 - q. Sort 44, 3, z, 0.4 in descending order.
44, 3, 0.4, z
Let m be 4/(-58) + 5 + (-715)/145. Let v = -4 - -7. Let j = 14 + -9. Put v, j, 1, m in decreasing order.
j, v, 1, m
Let x = 0.01 + 1.99. Let h = 4.92 - 7.42. Let i = h + x. Put -4, i, 0, -1/4 in ascending order.
-4, i, -1/4, 0
Let g(s) = 2*s + 7. Let m be g(3). Let k be -4*5/240*-34. Let t = k + -5/2. Put -1/5, t, m, -0.4 in descending order.
m, t, -1/5, -0.4
Let c = -76 + 53. Let t(v) = v**3 + 24*v**2 + 23*v - 19. Let u be t(c). Let j = 15 + u. Put j, -1, 1 in increasing order.
j, -1, 1
Suppose -60*s = 190*s - 630000. Sort 0, s, 5 in increasing order.
0, 5, s
Let k = 80 - 115. Let v = k - -48. Let r = 6 - v. Sort 4, r, -5.
r, -5, 4
Let a = 4678 - 4591. Sort a, -4, -5 in descending order.
a, -4, -5
Suppose 2*r + 70 = -a + 67, 3*r + 3*a + 9 = 0. Put r, -4, 173 in ascending order.
-4, r, 173
Let s = -1034.7 + 1039.7. Sort -1, 2/59, s, 3 in descending order.
s, 3, 2/59, -1
Suppose 14*n = 22*n - 8. Let r be -2 + (1 - (-4 + n)). Sort -4, r, -15/7, -0.4 in decreasing order.
r, -0.4, -15/7, -4
Let q be 3 + 90/(-10) + 8 + 1. Let r be 1 - -6 - (-5)/(5/3). Sort r, 5, q, -3 in descending order.
r, 5, q, -3
Suppose -20*z - 8 = 32. Put -4, 204, z, 5 in ascending order.
-4, z, 5, 204
Suppose 5*m = -3*t - 41, -3*m = 3*t - 1370 + 1397. Let z = -8 + 13. Put z, 15, t, 4 in descending order.
15, z, 4, t
Suppose 0 = 77*t - 67*t - 2040. Let a be (t/69 - -1) + 8/(-2). Sort 2, a, 3.
a, 2, 3
Let p(h) = -h**3 - 11*h**2 - 3*h - 30. Let a be p(-11). Suppose -a*f - z - 10 = 4, -3*z = -3*f + 6. Sort -6, -4, 4, f in decreasing order.
4, f, -4, -6
Suppose -f + r - 3*r + 8 = 0, 0 = 5*f - 5*r - 10. Let c be 3 + (-23)/(46/(-20)) + 6. Put c, f, -3 in increasing order.
-3, f, c
Let o = 553 + -204. Let d = o + -346. Put d, -1, -2 in descending order.
d, -1, -2
Let q be (-1 - (-2 + 0))*0. Suppose q = 4*b + 3*l - 20, 25 = b + 4*b - l. Let g = 21420 - 21421.3. Sort -4, g, 2/17, b.
-4, g, 2/17, b
Let s(t) = -t**2 - 22*t - 65. Let m be s(-19). Let y be (-5)/((-10)/m + 2/(-8)). Put -3, y, 161 in descending order.
161, -3, y
Let g(s) = -6*s + 157. Let n be g(27). Let b be 1 + 0 + (-6)/18. Sort b, -0.08, n in descending order.
b, -0.08, n
Let v be (2/4)/((-8)/(-48)). Let l be 0/v + (-8)/(-2). Let y = -8 + 8. Sort y, l, -17/5 in decreasing order.
l, y, -17/5
Let t = -7 - -5. Let y = t - -1.7. Let w = -411.5 + 411. Put w, 1, y in decreasing order.
1, y, w
Let m be (-3 - -11) + 0 + -2. Suppose 12*t + 312 = m*t. Let a = 155/3 + t. Put -0.12, -1/4, a in descending order.
-0.12, -1/4, a
Let s = -6.62 + 6.12. Let o be 349/10 - (-12)/(-8). Let u = o - 33. Sort -0.2, 1, u, s in descending order.
1, u, -0.2, s
Let z = 560 + -561. Let t = -4 - -6. Let n = -460 + 463. Put z, t, n, -2 in descending order.
n, t, z, -2
Let q = -0.1047 - 0.1953. Put 93, q, 5, 4 in descending order.
93, 5, 4, q
Let j(n) be the third derivative of n**4/24 - 11*n**3/6 - 44*n**2 - 1. Let t be j(0). Put -5, t, 5 in decreasing order.
5, -5, t
Suppose -20 = 2*w - 5*f, 2*w = -0*w + 4*f - 18. Suppose -166*h + 52 = -213*h - 136. Sort -0.1, 0.7, h, w in ascending order.
w, h, -0.1, 0.7
Let s be (-2)/3*(-15)/10. Suppose v + 18 = 16, 4*h = -3*v + 70. Suppose 31*m - 34*m - 3 = 0. Sort m, h, s in increasing order.
m, s, h
Suppose -68*p + 4*z = -75*p - 6, 5*z = 5*p - 35. Put 0, 7, -1, p in decreasing order.
7, p, 0, -1
Let l(b) = -69*b - 826. Let x be l(-12). Sort -146, x, -1, -3 in decreasing order.
x, -1, -3, -146
Let t be (-16)/20*1/2. Suppose -9*d = 3*d + 48. Let v = 93 + -93. Put v, d, t in decreasing order.
v, t, d
Let s = 2.83 - -0.17. Let t = 464 + -469. Put -2, s, -0.03, t in decreasing order.
s, -0.03, -2, t
Suppose -35*s = -92*s + 570. Suppose 0 = 130*k - 128*k + 8. Sort 6, k, s in increasing order.
k, 6, s
Let z = 154/81 - 1840/1053. Put z, -501, 1, -0.2, 3 in decreasing order.
3, 1, z, -0.2, -501
Let g be 1838/7 - 16/16. Let h = 262 - g. Let x = -57 - -56.5. Sort 1, x, h in ascending order.
x, h, 1
Let o = 4.4 + -10.5. Let g = -2.22 + -3.38. Let b = o - g. Put 2, 1, 2/7, b in increasing order.
b, 2/7, 1, 2
Let h = -228 - -226. Suppose b + 115 = 6*b + 5*c, -5*c + 87 = 4*b. Put b, h, -1 in descending order.
b, -1, h
Let k = -1441 - -1317.3. Let j = k - -124. Put 1, 14/19, j, 0.4 in increasing order.
j, 0.4, 14/19, 1
Let c(z) = -z**3 + 16*z**2 - 43*z + 40. Let a be c(13). Put -3, a, -1, -2 in decreasing order.
-1, -2, -3, a
Let s = -228 - -235. Suppose -k = s*k. Sort -0.2, 9, k in decreasing order.
9, k, -0.2
Let h be (1298/708)/((-1)/(-6))*(-15)/(-33). Put -3, h, 0, -32 in decreasing order.
h, 0, -3, -32
Let o(z) = z**2 + 7*z + 6. Let j be o(-1). Let t = 803 - 802. Sort -1, t, -6, j in decreasing order.
t, j, -1, -6
Let s = -15777 - -15782. Suppose -o = -5*c + 12, -5*o - 3*c = -o - 21. Put o, s, 0, -5 in ascending order.
-5, 0, o, s
Let k(b) = 53*b**2 + 211*b + 7. Let r be k(-4). Put r, 0, -2/9, 3 in descending order.
r, 3, 0, -2/9
Let r = 19019 + -19016. Put -1/8, 5/4, r, -4, 4 in increasing order.
-4, -1/8, 5/4, r, 4
Let j = 276 - 627. Let h be 9/((-351)/6) - 132/j. Let w = -2 + 5. Put h, 0.2, w, 5 in decreasing order.
5, w, h, 0.2
Let a = -106 - -105. Let q = -1188.6 + 1189. Put -2/19, a, q, -2/7 in descending order.
q, -2/19, -2/7, a
Let n be 3/(0 - 6/(-136)). Suppose 4*q - c + n = 3*c, 2*c = q + 14. Let v(d) = -d**2 - 17*d - 5. Let x be v(-17). Sort q, 5, x in ascending order.
q, x, 5
Suppose 3005*c - 2999*c + 6 = 0. Put c, 3, -124 in decreasing order.
3, c, -124
Let s(b) = b**3 - 13*b**2 - 2*b + 29. Let t be s(13). Suppose -6 = -v + t. Suppose -r - v = -6. Put r, 4, 1 in descending order.
4, 1, r
Let g(n) = -n**3 - 6*n**2 - 5*n + 4. Let a be g(-5). Let t(y) = -2*y**2 - 61*y. Let v be t(-29). Suppose 8*k - v = -95. Sort k, -5, a in ascending order.
-5, k, a
Let c be ((-15)/6)/((-63)/(-4970)). Let u = -197 - c. Sort u, 4, -10 in increasing order.
-10, u, 4
Suppose 0 = 163*w - 2088 - 8018. Let f be (1 + 14/(-10))*-10. Put 3, f, w in descending order.
w, f, 3
Let j = -2319 + 2319. Put 34/15, 3, j in decreasing order.
3, 34/15, j
Suppose -4*d + 3*c - 2 = 0, 0*d = -2*d - c + 4. Suppose 0 = 5*s + 36 + 39. Sort -1, 2, s, d in descending order.
2, d, -1, s
Let l be (-3)/(-42)*-25 - 9/(-6). Let s be (-213)/110 - -1 - 2/(-4). Let i = 4/11 - s. Put 0.5, 1/4, l, i in increasing order.
l, 1/4, 0.5, i
Let i = 1279 + -1282. Sort -0.5, i, -2/11, -0.02.
i, -0.5, -2/11, -0.02
Let a = 1 + -1. Suppose -15*t = 1113 + 237. Let b = t + 94. Put a, b, 3 in ascending order.
a, 3, b
Let d = -210 - -915. Let j = -701 + d. Sort 249, j, 5.
j, 5, 249
Let t be 3/((-108)/26) - 8/(-16). Let u be 1647/(-57) + (-2)/19. Let x = 29 + u. Sort 5, x, t, 2.
t, x, 2, 5
Let g(l) = 5*l. Let n be g(-1). Suppose -384*p - 699 = 69. Sort -9, n, p in ascending order.
-9, n, p
Suppose 107 + 22 = -116*f + 13. Sort 76, 4, -6, f, 3 in ascending order.
-6, f, 3, 4, 76
Suppose 7*t - 48 = -t. Suppose -2*q = -t*q + 300. Let h = 74 - q. Put -5, 2, -3, h in ascending order.
-5, -3, h, 2
Suppose -4 = -6*p + 4*p. Suppose -4 = p*u - u, 4*r - 4*u = -16. Let g be (-3)/((-84)/r) - (-58)/56. Sort -21, -3/5, g in descending order.
g, -3/5, -21
Let o = 25001.8 + -25002. Sort 5, 0.5, 0, -10.6, o in decreasing order.
5, 0.5, 0, o, -10.6
Let y(l) = -l**2 - 7*l + 287. Let f be y(-21). Put f, 52, 1 in ascending order.
f, 1, 52
Let c(n) = -28*n**2 + 10*n**2 + 14*n**3 + 7*n**2. Let q be c(1). Let k be (1 + -1)/(-1 - 0). Put k, q, -2, -4 in increasing order.
-4, -2, k, q
Let x = 45.8 - 33. L | {
"pile_set_name": "DM Mathematics"
} |
104 and 486044?
52
What is the greatest common divisor of 182 and 251186?
26
Calculate the greatest common divisor of 258763 and 2.
1
Calculate the highest common divisor of 35165 and 11635.
65
Calculate the highest common factor of 585771 and 116.
29
What is the greatest common divisor of 11227 and 26471?
103
Calculate the highest common factor of 10731 and 30576.
147
What is the highest common divisor of 506532 and 3468?
204
Calculate the highest common factor of 3018 and 102.
6
Calculate the highest common divisor of 8 and 2234632.
8
What is the greatest common divisor of 18 and 7344?
18
Calculate the greatest common factor of 1239458 and 22.
22
What is the highest common divisor of 2415575 and 50?
25
Calculate the highest common factor of 995 and 488744.
199
What is the greatest common divisor of 4831264 and 1088?
544
What is the highest common factor of 6 and 409872?
6
Calculate the greatest common divisor of 2463684 and 12.
12
What is the highest common divisor of 347 and 73217?
347
What is the highest common factor of 10649 and 4025?
23
Calculate the greatest common factor of 49020 and 158460.
1140
What is the highest common divisor of 3976 and 12656?
56
Calculate the greatest common divisor of 14212 and 208318.
374
What is the highest common factor of 39135 and 30?
15
What is the highest common divisor of 10506 and 27438?
102
What is the highest common divisor of 78 and 35191?
13
What is the highest common factor of 376858 and 1342?
122
What is the highest common factor of 105 and 29460?
15
Calculate the highest common factor of 49792 and 3890.
778
What is the highest common divisor of 247650 and 130?
130
Calculate the highest common divisor of 4016 and 6736.
16
Calculate the greatest common factor of 78326 and 2.
2
Calculate the highest common factor of 3047 and 3.
1
What is the highest common factor of 233726 and 46?
46
What is the highest common factor of 149035 and 615?
205
What is the greatest common factor of 1386 and 288?
18
What is the highest common divisor of 3000 and 21720?
120
Calculate the highest common factor of 32 and 96608.
32
Calculate the greatest common factor of 420 and 3780.
420
Calculate the greatest common divisor of 4 and 686516.
4
Calculate the greatest common factor of 1143858 and 1244.
622
Calculate the highest common factor of 15 and 5892.
3
Calculate the highest common factor of 5508 and 9027.
153
What is the highest common factor of 187 and 27060?
11
What is the highest common divisor of 60582 and 11385?
69
Calculate the highest common divisor of 5728 and 256.
32
Calculate the highest common factor of 60 and 3364.
4
Calculate the greatest common factor of 186 and 714829.
31
Calculate the highest common divisor of 12882 and 8664.
114
What is the highest common divisor of 140 and 1126790?
70
Calculate the greatest common factor of 432 and 68184.
72
What is the highest common divisor of 1285 and 926999?
257
Calculate the greatest common divisor of 50 and 232525.
25
What is the greatest common factor of 500 and 443500?
500
What is the highest common divisor of 4540711 and 7?
7
What is the greatest common divisor of 12028 and 2852?
124
Calculate the highest common divisor of 11581152 and 24.
24
What is the highest common factor of 2535 and 2145?
195
Calculate the greatest common divisor of 11397 and 127987.
131
What is the highest common divisor of 1456 and 4862?
26
Calculate the highest common factor of 2289 and 3161.
109
What is the greatest common factor of 9916 and 197950?
74
Calculate the greatest common factor of 8489 and 377.
13
What is the greatest common divisor of 16718 and 182?
26
What is the highest common factor of 114260 and 40?
20
What is the highest common divisor of 350 and 19523350?
350
Calculate the greatest common factor of 90 and 1168785.
45
What is the highest common factor of 1675548 and 1647?
549
Calculate the highest common divisor of 681 and 982002.
681
Calculate the greatest common divisor of 662 and 21211142.
662
What is the greatest common divisor of 4200 and 3569400?
600
What is the greatest common factor of 384 and 804?
12
Calculate the highest common factor of 134544 and 96.
48
Calculate the greatest common divisor of 1840 and 60.
20
Calculate the greatest common divisor of 43144 and 64.
8
Calculate the greatest common factor of 21981 and 391.
17
Calculate the highest common divisor of 168 and 228963.
21
What is the greatest common divisor of 3480 and 150?
30
What is the highest common factor of 117857 and 19?
19
What is the highest common divisor of 27376 and 272?
16
What is the greatest common factor of 896 and 36064?
224
Calculate the greatest common divisor of 576 and 153576.
72
Calculate the highest common divisor of 12428 and 478.
478
Calculate the highest common divisor of 1006 and 1024611.
503
Calculate the highest common divisor of 13 and 9416615.
13
What is the greatest common factor of 13892 and 64628?
604
What is the highest common divisor of 13947 and 3?
3
Calculate the greatest common factor of 255042 and 16.
2
Calculate the highest common factor of 33306 and 151788.
546
Calculate the greatest common factor of 13507 and 78.
13
What is the highest common factor of 214001 and 173?
173
Calculate the greatest common divisor of 79519 and 2.
1
What is the highest common factor of 23 and 3041152?
23
Calculate the greatest common divisor of 34118 and 126.
14
What is the highest common divisor of 16932 and 6225?
249
What is the greatest common factor of 3081 and 264?
3
What is the greatest common factor of 1359188 and 1133?
103
Calculate the highest common divisor of 2199976 and 16.
8
Calculate the greatest common divisor of 10137 and 41093.
109
Calculate the highest common divisor of 251445 and 15.
15
Calculate the greatest common factor of 14976 and 36.
36
Calculate the greatest common divisor of 302750 and 500.
250
What is the highest common factor of 46686 and 372?
186
What is the highest common divisor of 66766 and 266?
266
What is the greatest common factor of 75 and 684650?
25
Calculate the greatest common factor of 8474 and 917868.
446
Calculate the highest common divisor of 213 and 8668461.
213
Calculate the greatest common divisor of 21 and 299019.
21
What is the greatest common divisor of 59413 and 19?
19
What is the highest common divisor of 1183126 and 28?
14
Calculate the highest common factor of 97569 and 171.
9
Calculate the highest common factor of 77627 and 33.
11
What is the greatest common divisor of 328 and 45346?
82
What is the highest common factor of 23832 and 1854?
18
Calculate the greatest common divisor of 63560 and 4340.
140
What is the greatest common divisor of 2142 and 68238?
306
Calculate the highest common divisor of 219 and 126509.
73
What is the highest common factor of 885 and 203137?
59
Calculate the highest common factor of 44 and 64108.
44
Calculate the greatest common divisor of 113 and 2246.
1
Calculate the greatest common divisor of 204 and 36006.
102
What is the highest common divisor of 755997 and 3?
3
What is the highest common divisor of 471 and 1065?
3
Calculate the highest common divisor of 76035 and 411.
411
What is the greatest common factor of 133678 and 1780?
178
What is the highest common factor of 52154 and 150016?
586
Calculate the greatest common divisor of 278203 and 111.
37
What is the highest common divisor of 4843 and 38243?
167
Calculate the highest common factor of 177282 and 1134.
378
What is the highest common divisor of 3192197 and 257?
257
What is the highest common factor of 1078060 and 152?
76
Calculate the greatest common factor of 706789 and 613.
613
What is the highest common factor of 995257 and 491?
491
What is the highest common divisor of 109968 and 261?
87
What is the greatest common divisor of 2007 and 1797603?
669
What is the highest common divisor of 1067925 and 3437?
491
What is the highest common divisor of 602 and 43645?
301
Calculate the greatest common factor of 1326 and 98566.
442
What is the greatest common factor of 9 and 831369?
3
Calculate the highest common factor of 9075 and 2805.
165
What is the greatest common divisor of 527 and 211327?
527
Calculate the highest common factor of 754 and 196562.
58
Calculate the highest common factor of 7025 and 225.
25
What is the highest commo | {
"pile_set_name": "DM Mathematics"
} |
8
What is the greatest common divisor of 128 and 32?
32
What is the highest common factor of 117 and 377?
13
What is the highest common divisor of 31 and 527?
31
What is the highest common factor of 96 and 156?
12
What is the greatest common factor of 323 and 34?
17
What is the greatest common factor of 5929 and 231?
77
Calculate the greatest common divisor of 1568 and 336.
112
Calculate the highest common divisor of 83 and 44.
1
What is the greatest common divisor of 11 and 1441?
11
Calculate the highest common factor of 58 and 2.
2
Calculate the greatest common divisor of 2178 and 18.
18
What is the highest common divisor of 485 and 3298?
97
Calculate the greatest common factor of 903 and 525.
21
What is the greatest common factor of 44 and 1606?
22
What is the greatest common factor of 8152 and 8?
8
What is the highest common factor of 264 and 24?
24
Calculate the greatest common factor of 296 and 12.
4
Calculate the highest common factor of 20 and 268.
4
Calculate the greatest common divisor of 1521 and 26.
13
What is the greatest common factor of 15 and 4920?
15
What is the highest common divisor of 168 and 54012?
84
Calculate the greatest common divisor of 1113 and 1431.
159
What is the greatest common divisor of 4 and 436?
4
Calculate the greatest common factor of 6383 and 13.
13
What is the greatest common divisor of 332 and 1?
1
Calculate the highest common divisor of 10 and 65810.
10
Calculate the greatest common factor of 15 and 5.
5
What is the greatest common factor of 1328 and 16?
16
Calculate the greatest common factor of 21 and 1239.
21
Calculate the highest common divisor of 6 and 114.
6
Calculate the greatest common divisor of 1 and 303.
1
Calculate the greatest common divisor of 3580 and 20.
20
What is the greatest common divisor of 44 and 192?
4
What is the greatest common divisor of 16272 and 24?
24
Calculate the highest common divisor of 1323 and 98.
49
Calculate the highest common divisor of 1694 and 42.
14
What is the greatest common factor of 45 and 63?
9
Calculate the highest common factor of 450 and 495.
45
What is the greatest common divisor of 798 and 210?
42
What is the greatest common factor of 5532 and 48?
12
What is the greatest common divisor of 945 and 35?
35
What is the highest common factor of 512 and 96?
32
What is the highest common divisor of 195 and 45?
15
Calculate the highest common factor of 1403 and 92.
23
What is the highest common factor of 48 and 25896?
24
Calculate the greatest common divisor of 14 and 742.
14
What is the highest common factor of 301 and 3096?
43
Calculate the greatest common divisor of 986 and 870.
58
Calculate the greatest common divisor of 2650 and 106.
106
Calculate the greatest common divisor of 35490 and 182.
182
What is the greatest common divisor of 1386 and 1001?
77
Calculate the highest common divisor of 1050 and 399.
21
Calculate the greatest common factor of 475 and 50.
25
What is the greatest common factor of 3 and 205?
1
What is the highest common divisor of 96 and 492?
12
Calculate the greatest common divisor of 1368 and 3344.
152
Calculate the highest common divisor of 10710 and 35.
35
Calculate the highest common divisor of 156 and 12.
12
What is the greatest common factor of 4 and 38?
2
What is the greatest common factor of 2860 and 143?
143
What is the greatest common divisor of 264 and 96?
24
Calculate the greatest common factor of 32 and 3472.
16
What is the greatest common factor of 308 and 220?
44
Calculate the highest common divisor of 43 and 688.
43
What is the highest common factor of 1372 and 245?
49
What is the highest common divisor of 324 and 5076?
108
What is the highest common factor of 1629 and 171?
9
What is the greatest common factor of 105 and 8295?
105
Calculate the greatest common divisor of 120 and 54.
6
What is the highest common factor of 6511 and 102?
17
Calculate the highest common factor of 64 and 672.
32
Calculate the highest common divisor of 300 and 80.
20
Calculate the highest common divisor of 44 and 5819.
11
What is the highest common factor of 15 and 1005?
15
What is the highest common divisor of 656 and 16?
16
Calculate the highest common factor of 555 and 15.
15
What is the highest common divisor of 4590 and 90?
90
What is the highest common factor of 630 and 25?
5
Calculate the highest common divisor of 2 and 2402.
2
What is the greatest common divisor of 148 and 324?
4
What is the greatest common divisor of 9 and 28125?
9
What is the highest common factor of 532 and 1960?
28
Calculate the greatest common divisor of 928 and 800.
32
What is the greatest common divisor of 7 and 3?
1
What is the highest common divisor of 56 and 6?
2
What is the highest common factor of 99 and 1023?
33
What is the highest common divisor of 14 and 791?
7
Calculate the highest common divisor of 437 and 19.
19
What is the highest common factor of 33 and 6?
3
What is the highest common divisor of 34 and 44098?
34
What is the greatest common divisor of 1926 and 535?
107
What is the greatest common divisor of 12 and 1308?
12
Calculate the greatest common factor of 304 and 190.
38
What is the highest common factor of 1200 and 1950?
150
What is the greatest common factor of 188 and 47?
47
What is the highest common factor of 51 and 7701?
51
Calculate the greatest common factor of 1048 and 4.
4
What is the highest common divisor of 1 and 306?
1
What is the greatest common factor of 2889 and 81?
27
Calculate the greatest common factor of 742 and 42.
14
Calculate the greatest common divisor of 6 and 246.
6
What is the highest common factor of 8005 and 5?
5
Calculate the highest common divisor of 278 and 63106.
278
What is the greatest common factor of 1562 and 66?
22
Calculate the greatest common factor of 180 and 3020.
20
Calculate the greatest common divisor of 201 and 469.
67
Calculate the greatest common divisor of 80 and 3296.
16
What is the greatest common divisor of 266 and 45087?
133
Calculate the highest common divisor of 8122 and 62.
62
Calculate the greatest common divisor of 13 and 3159.
13
Calculate the greatest common factor of 368 and 46.
46
Calculate the highest common factor of 234 and 156.
78
Calculate the greatest common factor of 30 and 9210.
30
What is the highest common divisor of 12 and 2028?
12
Calculate the highest common divisor of 600 and 95.
5
What is the highest common factor of 104 and 16?
8
Calculate the highest common divisor of 133 and 3857.
133
Calculate the greatest common factor of 16996 and 56.
28
Calculate the greatest common divisor of 2 and 1.
1
What is the greatest common factor of 2 and 46?
2
What is the highest common divisor of 210 and 30?
30
What is the highest common factor of 7 and 13643?
7
What is the highest common divisor of 1020 and 612?
204
Calculate the greatest common factor of 45 and 60.
15
Calculate the greatest common factor of 494 and 52.
26
Calculate the highest common divisor of 144 and 936.
72
Calculate the greatest common factor of 2775 and 600.
75
Calculate the highest common divisor of 65 and 55835.
65
Calculate the greatest common factor of 374 and 1683.
187
Calculate the greatest common divisor of 88 and 71720.
88
What is the greatest common factor of 28 and 3024?
28
What is the greatest common factor of 687 and 9?
3
Calculate the greatest common divisor of 4290 and 55.
55
What is the highest common factor of 12 and 70188?
12
What is the greatest common divisor of 180 and 1840?
20
Calculate the greatest common factor of 12 and 160.
4
What is the highest common factor of 697 and 41?
41
What is the highest common factor of 1390 and 20?
10
What is the greatest common factor of 109 and 3?
1
What is the highest common divisor of 11 and 6424?
11
Calculate the highest common divisor of 22191 and 78.
39
Calculate the highest common divisor of 676 and 1196.
52
Calculate the highest common factor of 1136 and 2130.
142
Calculate the highest common divisor of 448 and 91.
7
What is the highest common divisor of 24047 and 139?
139
Calculate the greatest common factor of 351 and 13.
13
Calculate the highest common divisor of 1122 and 204.
102
Calculate the highest common factor of 494 and 26.
26
What is the highest common divisor of 2448 and 1584?
144
What is the highest common factor of 889 and 21?
7
| {
"pile_set_name": "DM Mathematics"
} |
6*v + 24. Let y be n(4). Suppose y = 4*x - 3*w - 27, -x - 3 + 15 = w. Suppose 15*a - x*a = 30. Solve 10 = -3*g - a for g.
-5
Suppose 2*z = 294 - 292. Solve 1 = -q - z for q.
-2
Let m(j) = 7*j + 116. Let f be m(-4). Let w be 16/f + (-64)/(-11) - -2. Solve -5*v + v - w = 0 for v.
-2
Suppose 0 = 5*x - 15 + 20. Let c be (13/39)/(x - 14/(-12)). Solve -c*n = n + 12 for n.
-4
Let y = 2026 - 2018. Solve -14*s - y*s + 132 = 0 for s.
6
Let r = 16215 - 13846. Solve 21*n + 2453 - r = 0 for n.
-4
Let o(q) = 2*q**3 + 14*q**2 + 34*q + 151. Let n be o(-6). Solve -n*l + 36 = -59 for l.
5
Let z(x) = -x**3 - 6*x**2 - 3. Let q = 98 - 104. Let c be z(q). Let w(r) = r**2 + 4*r + 4. Let g be w(c). Solve -5*h = -g - 4 for h.
1
Suppose -53*c = -57*c + 224. Let f be 4/(((-12)/(-42))/(12/c)). Suppose -2*a + p + 17 = 0, 0*a + 4*a - 5*p = 37. Solve -f*b + a = b for b.
2
Let z(o) = 6*o. Suppose 0 = 727*p - 729*p + 2. Let k be z(p). Solve 0 = 6*g - 3*g - k for g.
2
Let d(r) = 2*r**2 - 2*r - 9. Suppose 8 = -3*h + h. Let j be d(h). Let w = j - 29. Solve -5*q = -w*q + 12 for q.
-4
Let f = -21 + 133. Suppose 7*p = f - 0. Suppose 3*y = 6*g - 11*g - p, -3*y = -5*g - 34. Solve 0 = 3*k + y + 3 for k.
-2
Suppose 3*r - 8*r = 4*n - 117, -4*r + 102 = -n. Suppose 6*q - r = q. Suppose 15*t - 17*t + 3*z + 20 = 0, t - 10 = 2*z. Solve t*x = 5*x + q for x.
1
Suppose 3*m - 17 = -b, 0 = -23*m + 28*m + 4*b - 26. Solve 0 = m*o - 1 - 5 for o.
1
Let b(z) = z**3 + 4*z**2 - 3*z. Let v(o) = 4*o**3 + 13*o**2 - 10*o. Let x(r) = 7*b(r) - 2*v(r). Let p = 66 - 65. Let j be x(p). Solve j = 5*t - 2*t for t.
0
Suppose 0 = -13*i + 9*i + s + 266, -i - 3*s = -60. Solve 39 = 35*w - i for w.
3
Suppose -4*l - a - 3 = 0, 1 = 3*l - 4*a - 11. Let d be 9 + -5 - 9 - -6. Solve -i = d - l for i.
-1
Let q be (302/4 - 3)*(-324)/270. Let v = -148 - -255. Let x = v + q. Solve -x = l - 5*l for l.
5
Suppose -5*l - 20 = -10*l. Suppose 2*t + 8 = t - 3*c, -2*t + l*c - 56 = 0. Let y = 22 + t. Solve y = 5*s - 23 for s.
5
Let t = 3458 + -3456. Solve -3*d = -t*d - 4 for d.
4
Suppose 17*d - 47 = 599. Solve -d = -34*v + 30 for v.
2
Let y = 4852 + -4765. Solve -16*p = -7 + y for p.
-5
Suppose 0 = 6*i - 116 + 20. Let j be 18/(-108) + 25/6. Suppose -s - j = -11. Solve 3*l = -s + i for l.
3
Suppose -8*x - 520 = -3*g - 9*x, -2*x + 521 = 3*g. Let r = g - 172. Solve -r = -11*i + 10*i for i.
1
Let f = -16 + 30. Let v = -13394 - -13396. Solve -f = v*i - 6 for i.
-4
Let a = 781 - 45. Let t = a + -730. Suppose 0*h = h. Solve -3*z = -h*z - t for z.
2
Suppose 59*n - 2041 = -98*n. Solve n*m = -50 + 24 for m.
-2
Suppose 4*c = 16*o - 11*o + 67, -2*c = 5*o - 11. Solve -7*z = 6*z - c for z.
1
Let p(w) = 92*w + 930. Let t be p(-10). Solve -t*x - 7*x = -119 for x.
7
Suppose -13*n = -0*n - 6*n. Suppose n = -7*u + 26*u - 76. Solve 6*m - u*m = -4 for m.
-2
Let n = 494 - 474. Suppose 0 = -5*y + n, 0*a - a - 4*y = -25. Solve a - 27 = -9*m for m.
2
Let v(l) = l**3 - 6*l**2 - 5*l + 14. Let j be v(7). Let y(c) = -4*c**2 + c - 13. Let u be y(-4). Let q = u - -84. Solve 13 - j = q*s for s.
-5
Let t be (-2 - 1)/(27/1575*-5). Suppose 0 = 18*q - 16*q + i - 5, 5*q - t = 5*i. Solve 3*p + 1 = q for p.
1
Let h be (-184)/(-20) + (-5)/25. Let g = h + 3. Let a be (3 - 2)/(2/(g/3)). Solve q = a - 0 for q.
2
Suppose -700 = 64*v - 3580. Solve 75 = 60*q - v*q for q.
5
Suppose 6*w = 7*w + 4. Let z be -2*1/1*(-2 - w). Let r be (z/(32/(-4)))/(2/16). Solve -3*i - r = 11 for i.
-5
Suppose 92*o - 95*o = 4*j + 12, 4 = 4*j - o. Solve j = 10*h - 22 + 42 for h.
-2
Let v(x) = 14*x**2 - 19*x + 7. Let z be v(-3). Let s = z - 187. Solve -h = s*h for h.
0
Suppose 3*u - 478*t + 483*t - 130 = 0, 2*u - 95 = -5*t. Solve -19*n = -u + 149 for n.
-6
Suppose 0 = 18*z - 40 - 1040. Suppose 43*i - 112 = z. Solve -18*v - i = -20*v for v.
2
Let o(u) = -28*u**2 + 170*u - 6. Let k be o(6). Solve 27*p + k = 24*p for p.
-2
Let o = -6424 - -6795. Solve 366 = 5*m + o for m.
-1
Let m(d) = -11*d + 1. Let s be m(-1). Let l(a) = 34030*a + 408368. Let w be l(-12). Solve w*f = 4*f + s for f.
3
Suppose -51*c + 349*c + 78*c = 110544. Solve -c*a = -291*a - 3 for a.
1
Let x = 54 - 26. Let f = x + -36. Let j be (-1 - 1) + 10 + f. Solve -b + j = 1 for b.
-1
Let u be (132/(-20) + 1 - -7)/((-4)/(-20)). Solve u = 552*q - 559*q for q.
-1
Suppose 59*f = 53*f - 456. Let h be f/(-418) + (-62)/(-22). Solve -7*c - h = -4*c for c.
-1
Let z = -884 - -890. Solve z*b - 98 = 20*b for b.
-7
Let s = -154 + 223. Let a = 88 - s. Solve 0 = -16*r + a*r for r.
0
Let y(v) = -102*v - 1428. Let f be y(-14). Solve f = -36*p - 182 + 38 for p.
-4
Suppose 15*p - 5210 - 1195 = 0. Let w = p + -423. Solve w + 0 = 2*z for z.
2
Let q(d) = -d**2 - 8*d + 9. Let i be q(-9). Suppose -7*n + 84 = -i*n. Suppose -4*p + n = -5*u, -7*p + 9 = -4*u - 4*p. Solve 3*s + u*s = -15 for s.
-5
Let q(b) = 21*b - 1852. Let n be q(90). Solve -50*o + n*o = 0 for o.
0
Let y be 48/14 - ((-4)/16 - 95/(-140)). Let w = -6 + 10. Let o(x) = 15*x**2. Let g be o(1). Solve g - y = -w*m for m.
-3
Let x be (6/(-2))/(-2 + 1). Let r be 26/2 - 2/2. Suppose -5*l - 2*b + 21 = 0, 113 = 4*l + 3*b + 99. Solve l*g + r = -x for g.
-3
Let y(r) = r**2 - 17*r + 102. Let q be y(11). Suppose 4*g - 4*m - 20 = 0, -3*g + g - 4*m = 14. Solve -7*u - q = -g for u.
-5
Suppose 1091*z - 1116*z + 4200 = 0. Solve z = -10*h + 98 for h.
-7
Suppose 4*m - 6*m = 3*w - 53, -3*w - 5*m + 38 = 0. Let l be ((-3)/(-2))/(w/70). Solve k = 7 - l for k.
2
Suppose 542 + 477 - 237 = 23*n. Solve 0 = l - n*l - 165 for l.
-5
Suppose -95*u + 3 = -90*u - 3*t, u = -2*t - 2. Solve u = -84*s + 70*s + 56 for s.
4
Let k = 6152 + -6047. Solve 22*z - z - k = 0 for z.
5
Let u be (0 - -183) + 28/7. Suppose -188*f + 3 = -u*f. Solve -3*q - f = -2*q for q.
-3
Let z = -3756 - -3777. Solve -48*c + 41*c + z = 0 for c.
3
Let n(u) = 2*u**2 - 42*u - 871. Let a be n(-13). Solve -a*s - 34 = 21*s for s.
-1
Let g be (-1)/2*(-10 - -2). Suppose 0 = -36*p + 87 + 21. Suppose 0 = 4*t - 5*i - 49, -3*t - p = -4*i - 39. Solve g*d - t + 4 = 0 for d.
3
Let l(r) = r**3 - 30*r**2 - 7*r + 219. Let j be l(30). Solve 0 = -14*g - j*g - 161 for g.
-7
Suppose 1681 = -12*g - 3755. Let k = -446 - g. Solve -10*n = -k*n + 9 for n.
-3
Let k(s) = -3*s**2 - 11*s + 115. Let f(u) = -u**2 - 4*u + 39. Let d(a) = 7*f(a) - 2*k(a). Let b be d(4). Solve -b*i - 10 = -5*i for i.
5
Let c be (3/(-4))/(((-954)/(-24))/(-53)). Solve -17*u + c = -135 for u.
8
Let u = 106 - 59. Suppose -u = -4*c - 5*q - 3, c + 3*q = 11. Suppose 0 = 12*r - c*r. Solve r = -5*s - 1 - 9 for s.
-2
Let x be 0/((-28)/(-7 + 14)). Solve x = 42*b - 36*b - 54 for b.
9
Let c be (1/2)/(21/84 - 97/392). Solve -10*z = -c + 136 for z.
6
Suppose 1330 = 407*s - 3361 + 1028. Solve 0 = s*v + 33 + 21 for v.
-6
Let n be 3/6*(-2 - -2). Let s be 985/40 + (-27)/(-72). Suppose 0 = -41*v + 18*v + s*v. Solve n*y - 4*y = v for y.
0
Suppose 0 = -356*j + 360*j - 2*b - 70, 4*b = -4. Solve -j*n - 51 + 0 = 0 for n.
-3
Suppose 0 = -15*h - 25*h + 7693 + 907. Solve -46*d - h = 107 for d.
-7
Let t(x) = x**3 - 8*x**2 + 2*x. Let u be t(8). Let f = -642 + 638. Let z(o) = 5*o**2 + 16*o - 9. Let g be z(f). Solve -3*d - u = -g for d.
-3
Let s = -6989 - -7163. Solve 0 = -83*p + 54*p + s for p.
6
Let v(a) = 26*a - 188. Let s be v(-9). Let l = s - -431. Solve 6*m - 30 = -l*m for m.
2
Let f(m) = m**3 + 12*m**2 - 45*m. Let s be f(-15). Suppose 3*i - 12 = 3*l - s*i, 5*l + 2*i - 15 = 0. Solve 3*w + l = -2 for w.
-1
Let c = 6201 - 6195. Solve 0 = c*l + 66*l + 144 for l.
-2
Suppose -v - 17 = -p - 31, 0 = -5*v - 4*p + 70. Solve 12*k - 26*k - v = 0 for k.
-1
Let h = -218 - -137. Let x = h + 86. Suppose 2*d + 4*a = -12, a = x*d - 0*a - 14. Solve d*o = 3*o for o.
0
Suppose 8*i - 7*i - 2865 = -14*i. Solve 197*f - i*f - 18 = 0 for f.
3
Let r = 7 + 10. Let g = r + -15. Solve g = -l + 1 for l.
-1
Let b = 11097 - 11091. Solve 9*i = 3*i - b*i for i.
0
Let c(k) be the third derivative of -k**6/120 + k**5/10 - k**4/6 - k**3/3 - 2*k**2. Let n be c(5). Suppose 13 = n*v + 4. Solve -4*r = -r - v for r.
1
Let n(x) = -x**2 - 22*x - 74. Let l be 5*((-36)/(-9))/(-4). Let p be n(l). Solve -p*a + 17*a = -12 for a.
-2
Let m = 2170 - 2151. Solve 14*g + 23 = -m for g.
-3
Let b be (16*(64/(-12) - -5))/(22/(-792)). Solve -b*h + 185*h = 0 for h.
0
Let k(z) = 6*z**2 + 20*z + 35. Let i be k(-5 | {
"pile_set_name": "DM Mathematics"
} |
) 107 (c) 2/285
a
What is the closest to -1 in 0.1, 32.704, 126?
0.1
What is the closest to -1507 in 5, 1, 84, 1/5, -2/3?
-2/3
What is the closest to -3 in -3/4, 2, 0.6, 118/3, -2/7?
-3/4
What is the closest to -0.1 in -0.3, -84, -476, -5, -9?
-0.3
Which is the closest to -1? (a) 2 (b) -1/3 (c) -259 (d) -0.2 (e) 0.0926
b
What is the closest to 2.3 in -1/6, -13, 6, -423?
-1/6
Which is the nearest to -1? (a) 9115 (b) -7 (c) 114/7
b
What is the nearest to -506 in 0.2, -2, 61?
-2
What is the nearest to -2/9 in -13567, -0.2, -3, -0.4, -0.05, -5?
-0.2
What is the closest to 1 in 5, -44, 17/4, 1/5, -0.321?
1/5
Which is the nearest to 2/3? (a) 0.3 (b) -2/9 (c) 0.2 (d) -2 (e) -4141/3
a
What is the nearest to -29 in -103225, -3, -4?
-4
Which is the closest to -1.3? (a) 1/4 (b) -0.44 (c) -0.4 (d) -1/2 (e) 5 (f) -0.212
d
Which is the nearest to -0.1? (a) -0.2 (b) -2.4 (c) -88 (d) 3 (e) 17
a
Which is the nearest to 610? (a) 4 (b) 485 (c) 94/7 (d) -3/5
b
Which is the closest to 76? (a) -4 (b) -4/5 (c) -0.1 (d) -3 (e) 9
e
What is the nearest to -20 in 102726, 3, -1/5, -0.4, -2?
-2
Which is the closest to -0.1? (a) -206/9 (b) -4 (c) 6.01
b
Which is the closest to -2? (a) -1 (b) -13648.5 (c) 3
a
Which is the closest to -759? (a) 0 (b) -101 (c) 12
b
What is the nearest to 1/8 in -3.4, 4, -0.12, 1559?
-0.12
Which is the nearest to 199.1? (a) 0.3 (b) -2 (c) -11554 (d) -1 (e) -4
a
Which is the closest to 4? (a) -11 (b) -0.061 (c) 1/5 (d) -0.1 (e) -388
c
What is the nearest to -65 in -1/3, 0.025, 10, -0.3?
-1/3
What is the closest to 99.5 in 7/9, 3, -0.4, 0.4?
3
What is the nearest to 52 in -2, 0.1, -22, 1/5, -227?
1/5
Which is the closest to 0.128? (a) -1/4 (b) 0.06 (c) -2/3 (d) -0.4 (e) 58/3 (f) 0.02
b
What is the nearest to 2/5 in -0.2, 71, -4, 709?
-0.2
Which is the nearest to -1? (a) -53/4 (b) -2/5 (c) 3 (d) -3/86 (e) -1/2 (f) 1
e
What is the nearest to 0.1 in -232, -5, -105149?
-5
What is the closest to 0.07 in -0.077, -0.99, 1/4, 0.5, 257?
-0.077
Which is the closest to 1? (a) 0.2 (b) -0.2 (c) -46.61 (d) 2/5
d
Which is the closest to -0.2? (a) 0.678 (b) -3.46 (c) 0.7
a
Which is the closest to 0? (a) 11.09 (b) -1750 (c) -1
c
What is the nearest to -1 in -10, -60123, -0.6?
-0.6
What is the closest to -1/125 in 4.2, 0, 2/9, 2, 49?
0
What is the nearest to -13 in -7, 7, 151.7?
-7
Which is the closest to -0.7499? (a) -5 (b) 0 (c) 0.4 (d) 0.088 (e) -1/7
e
What is the closest to -0.48 in 1/7, 2/5, -1/3, -120?
-1/3
Which is the closest to -3/5248? (a) 0.1 (b) 0.03 (c) -5 (d) -0.1 (e) 2/11
b
What is the nearest to 0 in -4, -1876, -11/6, -2?
-11/6
What is the closest to -2.6 in 45, -2, 1, 0.02, 10?
-2
Which is the nearest to -2/3? (a) 4 (b) 19 (c) 5916 (d) -4
d
What is the closest to -0.1 in 0.36569, 1/44, -1?
1/44
What is the nearest to 0.176 in -1/5, 89, 0?
0
What is the closest to 2/3 in -12, -0.4, 5, 476/389?
476/389
What is the nearest to -1/395 in -1.9, -4/7, -62?
-4/7
What is the closest to 0.277 in -0.3, 0.4, 1/13, 2/7, -0.03, 0.1?
2/7
Which is the nearest to 4? (a) 0.8 (b) -0.02 (c) -3785/18
a
What is the nearest to -239/7 in 1/2, 864, -5/4?
-5/4
Which is the closest to 0.1? (a) 579/28 (b) -3 (c) -1/5 (d) 3 (e) -2/13 (f) 0.6
e
Which is the closest to -1/4? (a) -0.75 (b) -582 (c) -0.2 (d) 1/23 (e) 1/5
c
Which is the closest to -2/3? (a) -10/13 (b) -3/2 (c) -28862 (d) -5
a
What is the nearest to -27198 in -1/5, -1/11, -1/6, 4, -2?
-2
What is the nearest to 0.3 in 5, 49, -0.1, -1/12, -4?
-1/12
Which is the closest to -0.3? (a) -27 (b) 0.071 (c) -44 (d) 1/12 (e) 0.1
b
Which is the closest to -0.2? (a) 521 (b) 1 (c) -0.4 (d) 138
c
What is the closest to 6 in 3, -9.8, 1/3, -1/8, 0.01?
3
Which is the nearest to -1? (a) -0.1 (b) 14 (c) 4 (d) -5 (e) -1/104 (f) 2
a
What is the nearest to 0 in -2, -17, 2.94, 1/2, 0, 5?
0
Which is the closest to 4/15? (a) 4 (b) 0 (c) 1/4 (d) -13/444 (e) 0.3
c
What is the nearest to 35389/12 in -0.5, -3, -1, 0.03?
0.03
What is the closest to 48131 in 2, -4/3, -3, 3?
3
Which is the nearest to -2/3? (a) -2/5 (b) -68 (c) 4 (d) 90/409 (e) -3 (f) 3
a
What is the closest to -0.2 in -258, -0.4, 8534?
-0.4
Which is the nearest to -3? (a) -2 (b) 14174414 (c) 0.4
a
Which is the closest to -297? (a) 1/11 (b) -5 (c) 21 (d) 2/15
b
Which is the closest to -40/3? (a) -4 (b) 3 (c) -1 (d) 29/16
a
Which is the nearest to -17? (a) -237/8 (b) -5 (c) -1/2 (d) -3/2 (e) 0.4
b
What is the closest to 103184 in -13, -2, 1/5?
1/5
What is the closest to 336 in -2/5, -367, -0.3, -4/9, -1.5?
-0.3
What is the nearest to -0.1 in 5, -2.58, 4, 3, 57?
-2.58
What is the closest to -27 in 33, 2.2, -15?
-15
What is the nearest to -8 in 5, 7, 38.55, -8, 3?
-8
Which is the nearest to 1/2? (a) 6 (b) 82 (c) 1/6 (d) 1/9 (e) 15
c
Which is the nearest to 0? (a) 51/10 (b) 1.1 (c) -2/17 (d) -652 (e) 2/21 (f) -1
e
What is the nearest to 1 in 0.24, -1, -1155, 0.5?
0.5
Which is the nearest to -0.1? (a) 216 (b) 0.3 (c) 3.1 (d) 257 (e) 5
b
Which is the nearest to 0.47? (a) -5 (b) 5/27 (c) 1 (d) -23/6 (e) -1/7
b
What is the closest to 275 in -125, 1/3, -1, -6?
1/3
What is the nearest to 0.01 in -0.5, -0.4, 5?
-0.4
What is the closest to 15.1 in 3.8, 0.2, -5/19, -3/5, -3?
3.8
What is the closest to -2 in 14, -6500, 39?
14
Which is the nearest to -0.1? (a) 1.64 (b) 64 (c) -2/33
c
Which is the closest to 1? (a) -6 (b) -2/1422401 (c) -23
b
Which is the closest to 1/9? (a) 1 (b) 1/3 (c) 618 (d) -12 (e) -111
b
Which is the closest to 14? (a) -0.198 (b) 0.05 (c) -5/6
b
What is the nearest to -0.015 in 1/9, 13, 23, 3, -1/6, -1?
1/9
What is the closest to 0 in -1/5, -4, 0.5, 60, 0.4, -29?
-1/5
Which is the nearest to -1804? (a) -0.2 (b) 4 (c) 5.7 (d) 1 (e) 7
a
Which is the closest to -2/17? (a) -0.2 (b) -1.6 (c) 2 (d) -6 (e) -30 (f) 1/51
a
Which is the closest to -2/5? (a) -23/2 (b) -5 (c) -4/5 (d) -285 (e) 6
c
Which is the nearest to -19? (a) 31/9 (b) 0.01 (c) 2/3 (d) -6
d
What is the nearest to -0.2 in -5, 2907, -49, 3?
3
What is the nearest to -1 in 0.7, 3, -1/3, 139199?
-1/3
What is the closest to 0.1 in -4, 5.7421, -5, -1, 3/8?
3/8
What is the nearest to -1 in -7/6, 899, 1/3, -0.06?
-7/6
Which is the nearest to 3? (a) -2 (b) -0.2 (c) -10 (d) 0.52 (e) -2.4
d
What is the closest to 34 in 3, -28, 24, -2/9, -2/11?
24
What is the nearest to 24/10193 in -4, 2/9, -2?
2/9
Which is the nearest to 2? (a) 1 (b) 4 (c) -69 (d) 28 (e) -9
a
What is the nearest to -1 in -1, -9.20017, -0.1?
-1
What is the closest to 4 in -0.07, 5/3, 2, 54, 0.009?
2
Which is the nearest to 0? (a) 3/2 (b) 5683 (c) 5 (d) -0.05
d
Which is the nearest to 4198? (a) 2 (b) -1/5 (c) 235 (d) 3/2 (e) 4
c
Which is the closest to 0.2? (a) 0.09 (b) 588 (c) 0.7 (d) 1 (e) -2 (f) 9
a
What is the closest to -2/645 in 411, 8, 16/9, 3?
16/9
What is the closest to 1/283 in -1/3, 0.1, 1/8, 11, -1/4, -119?
0.1
Which is the closest to 26? (a) 0.2 (b) -1/505 (c) -0.1 (d) 3
d
Which is the closest to -2/5? (a) 3/2 (b) -0.5 (c) -2/2205 (d) -0.0273 (e) 8
b
Which is the closest to 6/7? (a) -1/23 (b) -9.12 (c) 4 (d) 1 (e) -14
d
Which is the closest to 3? (a) -3/5 (b) 136 (c) 2 (d) 0.5 (e) -1.05
c
What is the closest to -1/2 in 0.91, 4, -3/7, 318?
-3/7
Which is the nearest to 1? (a) 14 (b) 1/7 (c) 0 (d) -9610 (e) -1/4
b
What is the nearest to 627 in 3/5, 158, -99?
158
What is the closest to -1/4 in 5, 1090, 5/6, -144?
5/6
Which is the closest to -1? (a) -0.5 (b) 0 (c) -0.4 (d) -36 (e) -1.095
e
Which is the closest to -1? (a) -17/9 (b) -3/8 (c) 2 (d) 167 (e) 3 (f) -11
b
What is the nearest to -2/5 in -443/2, -9/4, 0.329, -3?
0.329
What is the nearest to -0.1 in 2/13, -23, 16395?
2/13
What is the closest to 1/94 in 0.054, -56, 1?
0.054
What is the nearest to 701 in 25458, 2, -2/11?
2
Which is the nearest to -1/3? (a) 0 (b) 4 (c) 124649
a
Which is the closest to 0? (a) -3 (b) 1883.8 (c) -1 (d) 65
c
What is the closest to 0 in -3, -0.39, 3/5, -118, -2?
-0.39
Which is the nearest to 36? (a) 175202 (b) -4 (c) 5 (d) 1/4
c
What is the closest to -1 in 6181, -15, -3/29?
-3/29
Which is the clos | {
"pile_set_name": "DM Mathematics"
} |
value in y, -1, w?
y
Let u = -3.9 - -3.86. Which is the third biggest value? (a) u (b) 5 (c) -5
c
Let z(d) = -d**3 + 7*d**2 - 9*d + 8. Let n be z(6). Let x(t) = -t**3 - 10*t**2 + t + 9. Let a be x(n). What is the third biggest value in -0.1, a, -0.2?
a
Let y = 29.5 + -26.51. Let q = -7.01 - -7. Let p = y - q. Which is the biggest value? (a) p (b) 1 (c) 3/2
a
Let p = 1 + -1.5. Let l = -4 - -3.95. Let o = 4.05 + l. What is the second smallest value in o, p, 1?
1
Suppose -3*k = -y + 440, 2*y + 8 = -0*y. Let b = 1034/7 + k. What is the third smallest value in -0.1, -1, b?
-0.1
Let r = -13 - -11. What is the second biggest value in 5, r, 14?
5
Let h be (-1)/2*-3*-2. Let l be (0 + 3/(-2))/h. Let w = -8 - -3. What is the smallest value in 0.3, w, l?
w
Let m = 0.06 - 0.06. Let u = -0.1 - m. What is the second smallest value in 1/6, u, 0.2?
1/6
Let q = -0.391 - 0.009. What is the fourth smallest value in q, 4, 31, -0.5?
31
Let a = -9.6 + 9. What is the second biggest value in -5, 3, a?
a
Let h = -0.364 + 0.084. Which is the second biggest value? (a) -0.2 (b) 0.3 (c) h
a
Suppose 18 - 10 = 4*n. Which is the third smallest value? (a) -2/15 (b) 0.4 (c) n
c
Let c = -13 + 8. Let q = -4 - c. What is the third smallest value in -2, q, 2?
2
Let x = 21 - 19. Let f be ((-3)/(-6))/(2/12). Let i be 1/x + f/(-54). Which is the biggest value? (a) i (b) 1 (c) -1
b
Let f = 0.49 - -0.11. Let m = f - 0.5. What is the third biggest value in 0.4, 3, m?
m
Suppose -2*r - n + 9 = 0, -5*n - 2 = -r + 8. Suppose 1 = -3*o + 4. Which is the second smallest value? (a) -2 (b) o (c) r
b
Let t = -0.3 + -1.7. Let l be (3/(-5))/(1/(-15)). Let k be 4/(-18) - (-5)/l. What is the third biggest value in t, k, -4?
-4
Let n = -0.02 - -1.02. Let o = 0.5 - n. Let w = -2 + 1.8. Which is the third biggest value? (a) 5 (b) w (c) o
c
Let d be (-2)/10*(-170)/51. Which is the third biggest value? (a) d (b) 2/5 (c) -9/2
c
Let l = 155 - 1087/7. Let f = 13 + -17.8. Let j = -5 - f. Which is the third smallest value? (a) 0.5 (b) j (c) l
a
Let u = 11 - 6. Suppose -2*y = -3*y - 5. Let d = -2.9 - -3. What is the smallest value in d, u, y?
y
Let l(k) = k + 8. Let o be l(-6). Suppose b - o*n = 2, 0 = -3*b + 7*b - 2*n + 4. Let a = -193/6 + 32. What is the smallest value in b, -3, a?
-3
Let h = 1 + 2. Let q = h + 1. What is the second biggest value in 1/5, 5, q?
q
Let m = -1.5 + 1.4. What is the smallest value in 0.3, 1, m?
m
Let u = 2/1941 - 4541/11646. Let k = 5/9 + u. Let g be ((-2)/(-14))/((-2)/2). What is the biggest value in k, -2/9, g?
k
Let a = -7.4 - -14.3. Let c = -7 + a. What is the second smallest value in c, 2/5, 3?
2/5
Let p = 3 + -3.3. Let g = -0.4 - -2.4. Let n = 0 + g. Which is the biggest value? (a) p (b) -2/5 (c) n
c
Let i = 6 + -5.7. Let l = -0.266 + -0.234. What is the second smallest value in i, 4, l?
i
Let i = -2.25 - -0.25. What is the second smallest value in -0.5, i, -9, 1/4?
i
Let u = 29 - 29.5. Which is the third biggest value? (a) -0.4 (b) -6 (c) u
b
Let x = 253 + -259. Let q = 1 - 0. What is the second biggest value in x, 0.5, q?
0.5
Let q be (-18)/81 + 1 + -1. What is the third smallest value in 10, 0.3, q?
10
Let s = 2 - 0. Suppose 0 = -s*v - x - 8, -v - 9 - 9 = 4*x. Let h = 4 + -7. Which is the third biggest value? (a) 4 (b) h (c) v
b
Let s(u) = -u - 1. Let w be s(3). What is the third biggest value in 5, 1, w?
w
Let a be 8/60*-1 - 0. Let g = a - -23/60. What is the biggest value in g, 0.1, 2/5?
2/5
Let q = 256 + -256.4. Let a = 0 - 0.1. What is the biggest value in -3, q, a?
a
Let x = -30 + 29.8. Which is the third smallest value? (a) 3 (b) x (c) 4
c
Let p = 1.6 + -1.9. Let y = -2.3 - p. What is the biggest value in y, -3, -0.2?
-0.2
Let d be ((-2)/4)/(1/(-10)). Suppose y + 3*i = -8, -5*y = 5*i + d + 25. Which is the second biggest value? (a) y (b) 1 (c) -3
c
Let n = -2/117 - 103/819. Let r = -1050.9 + 1051. Let y = 77 - 229/3. Which is the third biggest value? (a) y (b) r (c) n
c
Let x = 0.4 + -1.4. Let q = 0.2 - 0. What is the third biggest value in q, x, 5?
x
Let p = -1.3 - -3.3. What is the third smallest value in 4, -3, p?
4
Let d be 2/7 + 2/7. Let q = -0.37 - 3.53. Let j = q - -4. Which is the biggest value? (a) j (b) d (c) 0
b
Suppose 5*r + 49 = 224. Let k be 2/7 + (-7570)/r. Let n be (-4)/(-22) - k/(-462). What is the second biggest value in 5, n, 2/11?
2/11
Let v = -2 - -5. Let i = 0.9 - -0.1. What is the biggest value in 0, v, i?
v
Let m = -1.8 - -0.6. Let w = m - -4.5. Let n = w - 0.3. What is the third smallest value in n, 0.3, 1?
n
Let x = 6 - 11. Let l be (-4)/16*4/5. Which is the third smallest value? (a) l (b) x (c) 1
c
Let v(f) = f**2 + 7*f + 2. Let l be v(-7). Let o be ((1 - 2) + 1)/l. What is the third biggest value in o, 4, -3?
-3
Let q = -27 - -18. Let m = q + 4. Let t = -5.3 - m. What is the third biggest value in 0.5, 0, t?
t
Let o = 5 - 1. Let b = 171/11 - 888/55. Let t = -2045/8 - -256. What is the second biggest value in b, o, t?
t
Let t = 0.2 + -0.3. Suppose -5*g + g + 80 = 0. Let j be 4/g*(-15)/(-2). What is the second biggest value in -1, t, j?
t
Let r = 106.9 + -107. Which is the biggest value? (a) 0.2 (b) r (c) 0.06 (d) 1/11
a
Let y be (-24)/(-64)*6 - (4 - 1). Let m be (-6)/14 + 2 + -1. What is the third smallest value in y, m, -4/7?
m
Let y = -13 - -9. Let a be ((-3)/2)/(6/y). What is the third biggest value in a, 5, -2?
-2
Let v = 0.24 + -0.54. Let p = 0.2 - v. What is the smallest value in -1/6, p, -0.3?
-0.3
Let l = 206 + -1852/9. What is the smallest value in -1, l, 5?
-1
Let y = 128 - 1666/13. Which is the third smallest value? (a) y (b) -1.2 (c) 0
c
Let t = 2.7 - 13.7. Let l = 15 + t. Which is the third biggest value? (a) -1 (b) l (c) -4
c
Let s = 0.3 - -2.7. Let i(h) = h + 7. Let o be i(-4). Let t be 1*o*2/(-12). Which is the second biggest value? (a) s (b) 0 (c) t
b
Let k = 2.91 - 0.92. Let t = -0.01 - k. Let r = 8 - 8.3. What is the third biggest value in r, -0.1, t?
t
Let h = 1.5 + 11.5. Let d = 8 - h. Let n = -3 - -2. Which is the second smallest value? (a) n (b) d (c) -0.2
a
Let n = -0.8 - -1.1. Let y = -0.8 - -1. Let u = y - n. What is the biggest value in u, 3, -2/15?
3
Suppose 0 = 2*j + s - 60, 0*s + s = j - 30. Let m = j + -59/2. What is the third biggest value in 0.4, -3, m?
-3
Let k be (-2)/(-4) - (-2)/(-3). Let n = -0.5 - 3.5. Let j = n + 5. Which is the third biggest value? (a) k (b) -2 (c) j
b
Let o be ((-42)/(-39) - 1)/(-1). Let a = o - 45/91. What is the smallest value in -0.5, -4, a?
-4
Let p be ((-2)/(-5))/((-1687)/35). Let m = -885167/5 + 85330151/482. Let s = m + p. What is the smallest value in s, 4, 2/3?
s
Let z = 97/5 - 19. Let c be (1/18)/1*2102. Let g = -117 + c. What is the second biggest value in z, g, 2/9?
2/9
Let g = 22 + -25. Which is the third biggest value? (a) -2/7 (b) g (c) 1
b
Let j = -0.4 - 0.1. Let o = 121 - 367/3. Suppose 4*n = -4*q - 8, 0 = -3*q + 3*n - 3 - 3. Which is the second smallest value? (a) o (b) q (c) j
a
Let p = 26 - 31. What is the third smallest value in -0.4, p, 6?
6
Let t = 25 - 21. Which is the fourth biggest value? (a) t (b) 0.09 (c) -0.4 (d) 1/6
c
Let l = -0.072 - 2.928. What is the third biggest value in -1/10, l, -0.3?
l
Let t be 3/((-54)/16)*49/196. Which is the third smallest value? (a) 15 (b) t (c) -4
a
Let o(j) = j**2 - j + 13*j - 3*j + 12. Let l be o(-7). Let f = 3 + -8. Which is the biggest value? (a) -0.1 (b) l (c) f
a
Suppose -4*y - 3*g - g + 12 = 0, -4*g + 15 = y. Which is the biggest value? (a) -4 (b) y (c) 2/17
c
Let g = -2/87 - 334/609. Let k = -26 + 23.6. Let v = k - 0.6. Which is the third biggest value? (a) v (b) g (c) -4
c
Let i = 3.4 - 3.4. Which is the third biggest value? (a) 1/4 (b) 1 (c) i
c
Let w = 0.08 + -0.28. What is the third smallest value in -2, w, -1/9?
-1/9
Let p = -7 + 11. Let k = 0 - 1. Let s be -4 + (0 - k) - -8. Which is the smallest value? (a) p (b) -2/9 (c) s
b
Suppose 0 = 2*f, f = 4*h - 0*f + 16. Let k be 10/h*(-4)/(-85). Let t = 76.2 - 76. What is the third smallest value in 5, t, k?
5
Let y = 1200.6 - 1201. Let o = -3 - -7. What is the third smallest value in y, -11, o?
o
Let p be -2*9/6 + -3. Let s = p + 6. Which is the third biggest value? | {
"pile_set_name": "DM Mathematics"
} |
plify ((j*j**6)/(j**(-1/17)*j))/(j/(j/j**(-12))*j**1) assuming j is positive.
j**(290/17)
Simplify (k**9*k)/k**(-5)*(k/k**(2/11))**41 assuming k is positive.
k**(534/11)
Simplify ((z*z*z*(z/z**(-2/9))/z)**10*z**4*z**(4/5))**(-1) assuming z is positive.
z**(-1666/45)
Simplify (u**(2/99)*u**(1/8))/(u**(-5/4))**(-10/9) assuming u is positive.
u**(-985/792)
Simplify a/a**(18/5)*a**(-2/27)*(a*a*a**25/a)**14 assuming a is positive.
a**(48779/135)
Simplify ((b**2/b**5)/(b**(2/3)*b/(b/b**(-2/21)*b)))**(-27/4) assuming b is positive.
b**(243/14)
Simplify (g**(-15)/(g*g**(-9)*g))/((g**7*g)/(g/(g**(-3/8)/g*g))) assuming g is positive.
g**(-117/8)
Simplify (x**(-1/4))**(-8/5)*(x/((x*x**(4/9))/x)*x)/(x*x**(8/7)) assuming x is positive.
x**(-59/315)
Simplify ((x**(-3)/x**(4/9))/(x**(-1/2)*x)**(-12/17))**(-42) assuming x is positive.
x**(6622/51)
Simplify (y**(-5))**1*((y**(-9/2)/y)/y)/(y**(-18)/y) assuming y is positive.
y**(15/2)
Simplify (((t*t*t**(6/5))/t)/(t**(9/2)*t*t))/((t**0/t)/t*t**(-5)/t) assuming t is positive.
t**(37/10)
Simplify (((o*o*o**(2/33))/o)/(o**(2/41)*o))**9 assuming o is positive.
o**(48/451)
Simplify s**3*s**(-11/4)*s/(s**17*s)*s**(1/2) assuming s is positive.
s**(-65/4)
Simplify (o*o/(o**(2/13)*o)*o*(o*o/(o*o*o**(-4/3)/o)*o)/o*(o**(1/4))**(3/11))**(-13/6) assuming o is positive.
o**(-7289/792)
Simplify (((q/q**1*q)/q)**1*(q/q**3)/q*q*q/(q*q**(-2)/q))**(5/13) assuming q is positive.
q**(5/13)
Simplify (((b**(-10)/b)/b)/(b/(b*b**(-2/17))))/(b**16*b**(1/9)) assuming b is positive.
b**(-4319/153)
Simplify (a/((a/a**(-4))/a)*a*(a*a*a/(a**4*a))/a*a)/(a/(a**18*a)*a*a/(a/a**17)) assuming a is positive.
a**(-4)
Simplify v/((v**(-14)/v*v)/v)*v*v**(1/6)*v*v**(-3/8)*v/v**(-1/30) assuming v is positive.
v**(753/40)
Simplify ((x**(-2)/x**6)/(x**(-2)*x**(-5)))**(-15/8) assuming x is positive.
x**(15/8)
Simplify (i*i*i**6)/((i**(1/31)/i)/i)*(i/(i/(i**(1/21)*i*i)))/(i**(-10)*i) assuming i is positive.
i**(13681/651)
Simplify (l**(5/2)*l/(l/(l/l**10))*l)/((l/(l/(((l*l/(l*l**(-1/30)))/l*l)/l)))/l*l**1) assuming l is positive.
l**(-83/15)
Simplify ((k**(-14)*k)/k*k/(k/((((k/(k/k**(-6)))/k)/k*k*k)/k)))/(k**(5/2)*k*k**(-2/5)) assuming k is positive.
k**(-241/10)
Simplify (j**(2/19)/j)**(1/4)*j**(1/3)/j**(-14) assuming j is positive.
j**(3217/228)
Simplify (q/q**(-1/4))**(1/55)/((q**(2/13)*q*q)/q*q**(-8)) assuming q is positive.
q**(3929/572)
Simplify ((m*m*m/((m*m*m**(-2/11))/m))/m*m**(2/5))/(m/m**(-7)*m*m**(2/3)) assuming m is positive.
m**(-1334/165)
Simplify ((m*m**(-2/5))/(m*m*m*m*m*m/(m*m**12)*m))**(-2/3) assuming m is positive.
m**(-22/5)
Simplify (((i*i**(2/119))/i)/i*i**(-36))**15 assuming i is positive.
i**(-66015/119)
Simplify ((r**13/r*r)/(r**(-20/3)*r))**(-47) assuming r is positive.
r**(-2632/3)
Simplify (y/((y*(y*y**(-1/5)*y*y)/y)/y))**30/(y/(y/(y/(y*y*y*y**(3/7)))))**(1/38) assuming y is positive.
y**(-6367/266)
Simplify (w/(w/(w*w**(-3/5)*w)))/w**(-4)*w**(1/10)*w*w*w/w**(-7/4) assuming w is positive.
w**(41/4)
Simplify (b/b**15*((b/b**(-2/7)*b)/b)/b)**(3/8) assuming b is positive.
b**(-36/7)
Simplify ((d**(-2/7)*d)**(-16)/(((d**7*d)/d)/d**9))**(-41) assuming d is positive.
d**(2706/7)
Simplify j**10/j*j/(j*(j*j**(-4/9))/j*j)*j**4*j/(j**(-4)/j) assuming j is positive.
j**(166/9)
Simplify (((v**(2/7))**(2/51))**(-24))**17 assuming v is positive.
v**(-32/7)
Simplify (((c**(-2/3)/c)/c)**(-16)*(c**0)**(2/23))**(5/9) assuming c is positive.
c**(640/27)
Simplify (z**(-2/15)/z**(-2/9))**(32/7) assuming z is positive.
z**(128/315)
Simplify (((r/(r*r**(-2/5)/r))/(r/r**5))**10)**20 assuming r is positive.
r**1080
Simplify (d/(d/(((d*d**10)/d*d)/d))*(d/d**8*d)/d)/(d**(-9)/(d**(11/2)/d)) assuming d is positive.
d**(33/2)
Simplify (s*s**(3/4)*s*s)**14/((s**(-7)/s)/(s*s**7)) assuming s is positive.
s**(137/2)
Simplify g**(-18)/g**(-20)*g**(-2/19)/(((g*g*g**(-5/6)*g*g*g)/g)/g) assuming g is positive.
g**(-31/114)
Simplify (((i/i**(-3/10))/i**(-2/9))/(i**(-1/4))**(-27))**2 assuming i is positive.
i**(-941/90)
Simplify (d**(1/37)/(d**(-1/4)/d*d*d))/(d**(3/2))**(4/11) assuming d is positive.
d**(-2065/1628)
Simplify u**(6/5)*u*u/(u/(u/u**(4/7))*u)*u*u*u**(-5)*u**14 assuming u is positive.
u**(442/35)
Simplify (i**(1/4))**(-1/5)*(i**0/i)/i**(-1/4) assuming i is positive.
i**(-4/5)
Simplify (q**(1/2))**(-2/13)*q/q**(1/15)*q/((q*(q*q/(q**(1/4)*q))/q)/q) assuming q is positive.
q**(1643/780)
Simplify (r**(-8/5)/(r*r**(3/11)))**(-43) assuming r is positive.
r**(6794/55)
Simplify (d*d*d/(d/((d*d*d/(d/d**20)*d*d)/d)*d)*d*d*d)/d**(-3/23)*d*d*d**30*d*d*d/(d/(d**(-9/8)/d)*d)*d assuming d is positive.
d**(10857/184)
Simplify (n/(n*n**(-2/27)))/(n*n/(n**(10/9)/n)*n)*(n*n**(4/7))/(n**14/n) assuming n is positive.
n**(-2692/189)
Simplify ((l**(1/3)/(l*l**12))**(2/9))**(-44) assuming l is positive.
l**(3344/27)
Simplify ((p**(-2/59)*p)/p*p)/(p*p*p/p**(-9)*p)*(p/p**(-17))**24 assuming p is positive.
p**(24778/59)
Simplify ((g**(-2/5)/g)**7/((g*g*g**(1/8))/g*((g**(-3/8)*g)/g*g)/g))**50 assuming g is positive.
g**(-1055/2)
Simplify ((o*((o/o**(-37))/o)/o)/(o/(o/(o*o**33))*o))/(o/(o*o**(-23)/o))**(-46) assuming o is positive.
o**1106
Simplify ((p**32/p)/(p/p**(4/19)*p*p))**19 assuming p is positive.
p**536
Simplify ((h**23*h*h)**(21/8))**(1/5) assuming h is positive.
h**(105/8)
Simplify (a**(-1/16)/a**(-8))/(a/(a/(a*a*(a**(-24)*a)/a))*a*(a*a/(a/a**(1/3))*a)/a) assuming a is positive.
a**(1325/48)
Simplify (o/(o/o**6))**42/(o**(1/2)*o**(1/11)) assuming o is positive.
o**(5531/22)
Simplify (k**(-4))**(-5)*((k*k*k**(-20/7))/k)/k**(3/2) assuming k is positive.
k**(233/14)
Simplify (c*c**(-8)*c)/(c*c**6)*c**(-4)*c**0 assuming c is positive.
c**(-17)
Simplify ((w*w*w*w/w**(-4/3))/(w*((w*w**(15/4)*w)/w)/w))**(-1) assuming w is positive.
w**(-7/12)
Simplify (((a**(-13/6)*a)/a)**(-6/19))**(2/13) assuming a is positive.
a**(2/19)
Simplify (i*i/(i/i**(-3/2))*i*i)**(-18/7)*(i/(i/(i/(i/((i/(i*i**5))/i)))))**2 assuming i is positive.
i**(-111/7)
Simplify (((f*(f**(-1)*f)/f*f)/f**(-2))/(f*f/f**(1/2))**(1/20))**(-1/92) assuming f is positive.
f**(-117/3680)
Simplify (z**(-4/7))**(1/19)*z**17/z**(-4/9) assuming z is positive.
z**(20845/1197)
Simplify (q**6/q**(9/4))/(q/(((q*q**0)/q)/q))**(-10) assuming q is positive.
q**(95/4)
Simplify ((j/j**(-18))/(((j/((((j**12*j*j)/j)/j)/j))/j)/j*j))/(j**(2/13)*j*j*j*j)**(-4/9) assuming j is positive.
j**(414/13)
Simplify (b*b/(b*b**(5/2)))/(b*(b*b**(-2/11))/b*b)*(b**(4/9)/b)/b**(-16) assuming b is positive.
b**(2401/198)
Simplify ((l*l**13/l)/(l*l*l*l**(2/37)))**(1/21) assuming l is positive.
l**(368/777)
Simplify l**(-3/20)/(l**(-3)/l)*l**(2/21)/(l*l**(3/10)) assuming l is positive.
l**(1111/420)
Simplify (((m*(m*m**(1/10)*m)/m)/(m*m*m**(-7/3)))/(m**6*m**8))**(-1/4) assuming m is positive.
m**(347/120)
Simplify (c**(2/5))**(23/2)/(c/(c*c**(3/8))*c/c**11) assuming c is positive.
c**(599/40)
Simplify (((b**(-1/3))**(-6))**(-13))**14 assuming b is positive.
b**(-364)
Simplify ((f*f**(1/7))/f)/f*(f*f/(f*f**(-17)))/f*f*f/(f/f**(1/2))*f*(f*(f*f**(-2/5)*f)/f)/f assuming f is positive.
f**(1347/70)
Simplify ((g**(-3/5)*g)/g)**(-10/9)*g**5/(((g*g**(5/2))/g)/g) assuming g is positive.
g**(25/6)
Simplify f**(-24)*f**(-17)*(f**(1/3))**6 assuming f is positive.
f**(-39)
Simplify (k**(4/11)*k)/k**(-2/45)*(k**(-12)*k)**(-2) assuming k is positive.
k**(11587/495)
Simplify ((((m**2*m)/m)/m)/m)**11/(m*m**(2/7))**(-1/6) assuming m is positive.
m**(3/14)
Simplify (h**(2/15)*h/(h*(h/(h*h**(1/9)/h*h))/h)*h/(h*h**0/h*h)*h*h/(h**(3/4)*h)*h*h)**(1/3) assuming h is positive.
h**(629/540)
Simplify (d**(-2/15)/d**2*(d/d**0)/d**(-2/13))**39 assuming d is positive.
d**(-191/5)
Simplify ((k*k**(-7/3)*k)/(k*k**8))/((k*(k*k*k**(-1/13))/k*k)/(k*k**(-7/2)*k)) assuming k is positive.
k**(-1073/78)
Simplify ((n*n**(-1))**39*n/((n*n**4)/n)*n**(-2)/n)**(2/69) assuming n is positive.
n**(-4/23)
Simplify (z*z**32*z)/z*z*z*z**(-10/7)*z*z*((z*z*z/z**20)/z*z*z)**(-32) assuming z is positive.
z**(3833/7)
Simplify (b**5*b*b**0*b)/(b**(2/7)*(b**14*b)/b) assuming b is positive.
b**(-51/7)
Simplify (((l*l**1)/l)**(-3)/(l**2/(l/(l/(l*l**(-4))*l))))**(-4/11) assuming l is positive.
l**(36/11)
Simplify ((x/(x/(x*x**10))*x/(x*x**3))/(x*x**0*x**(-1/22)))**(-41) assuming x is positive.
x**(-6355/22)
Sim | {
"pile_set_name": "DM Mathematics"
} |
g (b) f (c) -4
a
Suppose 4*u - 5 = -h, -4 = -2*u - h + 1. Let i = 1 + u. Let m = 4.7 - 5. Which is the closest to 1/4? (a) -3 (b) i (c) m
c
Let j be (-21 - 0) + 8 + 8. What is the closest to 1 in 3/5, j, -4/13, 2/19?
3/5
Let q = -3.1 - -3. Let d = -150/13 + 437/39. Which is the nearest to d? (a) -1 (b) -3 (c) q
c
Let f = -18 + 12. Let b be (8/f*3)/(-2). Suppose -5*g + 5 = -4*q, -2*q + 1 = b*g - g. What is the closest to 4 in -2, 1, q?
1
Let g = 279.5 - 280. What is the closest to 0.1 in g, 0.4, 9/2?
0.4
Let d = 0.11 + 2.89. Let w = 87.3 + -95. Let k = w - -8. Which is the closest to -1/2? (a) k (b) 0 (c) d
b
Let f = -25.5 + 25.41. Which is the nearest to 1? (a) 0.1 (b) f (c) -1
a
Let w = -149.78 - -151. Let s = -0.22 + w. What is the closest to s in 1/3, 1, 0.5?
1
Let z(j) = 2*j**3 - j**2 + j + 2. Let t be z(-1). Let y be 6*(-4 - 27/(-6)). Which is the nearest to -0.2? (a) t (b) 2 (c) y
a
Suppose -9 - 16 = 5*u. Let g = 0.5 - 0.7. Let d be (2/(-15))/((-10)/6). What is the nearest to g in u, d, -1/3?
-1/3
Let o = -3.7 + 3.7. Let g = 9 - 2. Let u be 1/(-7) + 3/g. What is the nearest to o in 1/10, -3, u?
1/10
Let x = 3.2 + -32.7. Let d = x + 29. Which is the nearest to 0? (a) d (b) -3 (c) 0.1
c
Let v(j) = j**3 + 2*j**2 - 1. Let d be v(-1). Let p be -1 + 57/15 - (45 - 43). What is the closest to d in -0.3, p, 2?
-0.3
Suppose 4*k - 2*k = 3*i - 11, 0 = i + 4*k - 13. Let n(j) = j**3 - 4*j**2 - 5*j - 4. Let f be n(i). Which is the closest to -0.2? (a) 0 (b) f (c) 1
a
Let f = -289 + 289.1. Let u = -0.9 + 0.9. Let s = -0.4 + 0.7. Which is the closest to u? (a) s (b) -0.5 (c) f
c
Let o = -98.92 + 1.92. Let s = o + 106. What is the nearest to s in 1, 0.5, 2/7?
1
Let v = 0.06 - -1.94. Let q = 13 + -10. Let y = v - q. What is the nearest to y in -0.2, 2/17, 0.5?
-0.2
Let t = 3408 - 3412. Let p = -0.1 - -0.2. What is the nearest to -2/7 in -0.06, t, p?
-0.06
Suppose -2 = y - 2*y. Suppose 0 = -i + 3 - y. Let x = 55/4 - 57/4. What is the closest to i in -0.4, 0.5, x?
0.5
Let u = 1712 - 1715. Which is the nearest to u? (a) -0.2 (b) -0.1 (c) 4 (d) 2/5
a
Let f be -1*(-50)/(-6) + 6/(-9). What is the nearest to -1 in 2/9, -6, f, -2/3?
-2/3
Let u = 1166 - 1165. Let y = 72 - 214/3. Which is the closest to u? (a) y (b) -1/7 (c) 1
c
Let y = 0.57 - 29.57. Let i = 21 + y. Let o = -4 - i. Which is the closest to 2/3? (a) 0.1 (b) o (c) -3
a
Let h = -7068.6 + 7069. Suppose 0*l = l - 4. Which is the nearest to -3? (a) h (b) -5 (c) l
b
Let p = -1/529 - 1049/4761. Which is the nearest to -1? (a) 13 (b) p (c) 3 (d) 5
b
Let b be 2/(-1) - (19 + -29). Let t be (7/42)/((-2)/b). What is the closest to 3 in -1, t, 1?
1
Let h = -426 + 424. What is the closest to -2/3 in 2/5, h, 3, 0.1?
0.1
Suppose 9*g + 0*g = 6*g. What is the nearest to g in -1/4, 0.5, 2/3?
-1/4
Let m = -1.2 + 1.4. Let l = -41 - -24. Let p = l + 21. What is the closest to m in -0.3, p, -5?
-0.3
Let k = -2.19 + 1.1. Let t = 0.09 + k. Suppose -7*u + 332 - 311 = 0. What is the nearest to t in 2, u, 0?
0
Let b = 0.038 + 4.362. Let i = b - 1.9. Let n = i - 2.7. What is the nearest to -2 in n, -0.4, 0.3?
-0.4
Let g be (-85)/(-20) - (6/(-8))/(-3). Let q = 73 + -73. What is the closest to -3/35 in q, -4/5, g?
q
Let t = -672 + 4702/7. Which is the nearest to -0.2? (a) -4/3 (b) t (c) 0.07 (d) -1
b
Let p(f) = -f - 7. Let q be p(-6). Let t be (-3)/(-2)*6*(-10)/(-45). Suppose t*x - 10 = 0, 5*x - 21 = -5*w + 6*w. What is the closest to q in w, 0.4, -0.4?
-0.4
Let i(r) = -r**2 - 15*r - 52. Let k be i(-7). Let a(p) = 4*p + 1. Let x be a(1). What is the nearest to -1/3 in k, -1, x?
-1
Let v be -2*(-111)/21 - 11. Which is the closest to 3/7? (a) 4/5 (b) v (c) 6 (d) 5
a
Let g be (2/(-6) - 34/51)*0. What is the closest to -2/55 in 5, -2, g, 0.2?
g
Let b = -1 + -8. Let a = b - -11. Suppose -u + n - 7 = -a*u, 5*u = n + 5. What is the nearest to u in -2/11, -1, -0.3?
-2/11
Suppose 7*d - 11*d = 4. What is the nearest to d in 0.06, -4, -2/5, -0.3?
-2/5
Let q be ((-10)/(-4))/((-630)/(-252)). Let n = -5 - -5.3. Which is the closest to 3? (a) q (b) 3 (c) n
b
Let r = -8.83 + -0.17. Let k = -0.11 + 7.11. Let n = k + r. Which is the nearest to 3/4? (a) -4/3 (b) n (c) 5
a
Let v = -2/535 - -109/535. What is the closest to v in 2, -7/8, -2?
-7/8
Let o = -8 - -3. Let q = -0.359 - -0.359. Let u(n) = -n - 9. Let r be u(-7). What is the nearest to q in 3/2, r, o?
3/2
Let t = 10 + -10.1. Let r = 619/4 + -154. Which is the nearest to -2? (a) r (b) 4/7 (c) t
c
Let o = -521 - -522. What is the nearest to o in 1/23, 3/5, -0.4?
3/5
Let n be 200/72 + (-2)/(-9). Which is the nearest to -5/4? (a) 5 (b) n (c) -1
c
Suppose x + x - 9*x = 0. Let o be (-1)/(-1 + 2 + (x - -4)). Which is the nearest to 1? (a) -6/11 (b) o (c) 2/3
c
Let z = 0.2 - 0.2. Let j = -1.3 + -2.1. Let i = j - -0.4. What is the nearest to z in 0, -2/5, i?
0
Let q be 5 - 2 - 0/2. Suppose 3*h - q*x + 3 = 0, 0*x = -5*x + 20. Let m = -26/3 - -49/6. Which is the nearest to m? (a) -5 (b) 5 (c) h
c
Let k = -5 - -3. Let r be ((-63)/(-36))/(-7) - 2/(-4). Which is the nearest to r? (a) -2/7 (b) 3 (c) k
a
Let a be -5 + 10 + 203/(-42). What is the closest to 1.2 in a, 4, 5?
a
Let b = -144 - -177. Let n = -35 + b. What is the nearest to 0 in n, 3/8, 5?
3/8
Let y = 2.3 - 0.3. Which is the closest to y? (a) 2 (b) -1/8 (c) -0.4
a
Let g(c) = c**3 - c**2 - 2 + 0 + 0. Let u be g(2). What is the closest to 0 in u, 0.1, -1/4?
0.1
Let t(k) = -16*k + 3. Let n be t(0). Which is the nearest to -2? (a) 0.1 (b) n (c) -3
c
Let l = -7 + 13. Let f = 9 - l. Let z = f + -2. Which is the closest to z? (a) -1/4 (b) 0 (c) 5
b
Let z be 4*(-8 + 0)/(-64). What is the closest to 2/3 in 8, z, -2?
z
Let t be (-19)/4 - 5*(-18)/30. What is the nearest to 1 in -5, t, 0.6?
0.6
Let u be (9/(-3))/((-6)/(-616)). Let i be 12/u*(-2)/(-6). Let q = 236/385 + i. Which is the closest to 1/3? (a) 0.4 (b) q (c) -5
a
Let y be (-51)/(-99) - (-8)/(-24). Let p(n) = -n - 2. Let z be p(6). Let w = z - -6. What is the nearest to y in 0.2, w, -0.1?
0.2
Let x = 9.2 + -18.5. Let k = -9 - x. Which is the nearest to -1/3? (a) k (b) 4 (c) -0.06
c
Let p = -5 - -9. Suppose -q = 5*j - 10, 428 = -5*j - 2*q + 443. Which is the nearest to -1? (a) j (b) p (c) -1
c
Let o = 0.7 - 28.7. Let a = o - -18. Let w = a + 11. What is the nearest to w in -5, 2/9, -0.1?
2/9
Let k = -9 - -10. Let p be (57/(-7) + 4)/(2/(-76)). Let g = 157 - p. Which is the nearest to -2? (a) 2/5 (b) g (c) k
b
Let u be 3 - -11 - (-27 - -43). Let g be 1*(-1)/4 + 0. Which is the closest to -2? (a) 1 (b) u (c) g
b
Let y = -0.1303 - -5.1303. What is the nearest to -0.2 in 0.4, y, -2.5, 0.2?
0.2
Let g = 56 + -56.062. Let z = g - -7.062. Which is the closest to z? (a) 0.2 (b) -0.5 (c) -0.1
a
Suppose -92*t + 134*t - 84 = 0. Which is the closest to 0.4? (a) -0.4 (b) t (c) 0.01
c
Suppose 2*r + v - 1 = 0, -3*r + 2*r = 3*v - 8. Suppose u = 2*u + 1, -3*i + 1 = 2*u. What is the closest to i in r, -5, -4/9?
-4/9
Let t = -110.1 - -110. Let b = 0.7 + -0.2. What is the closest to t in 5, 0.3, b?
0.3
Let p = 374 - 375. What is the closest to 1 in -10, 2, p, 2/17?
2/17
Let j = -10 - -14. Let k = -402 - -227. Let c be k/(-294) + (0 - (-3)/(-7)). What is the closest to -1 in 1, c, j?
c
Let z(d) = d - 4. Let w be z(4). Let m(t) = 2*t**2 + 23*t + 11. Let r be m(-11). Which is the closest to w? (a) 3 (b) r (c) -0.1
b
Suppose 9 = 3*w - 0*w. Let f = 1.29 - 0.29. What is the closest to -1 in w, 1/4, f?
1/4
Let i(k) = k - 5. Let z be i(3). Let w = 239/63 + -25/7. Suppose 0*c = 2*y - 4*c, 0 = -2*y + 3*c + 1. What is the nearest to w in z, y, -2/5?
-2/5
Let u = -0.194 + 0.294. Which is the nearest to u? (a) 3 (b) -2 (c) -0.02
c
Let v be 2 + 96/(-40) - (-13)/(-5). Suppose s - 2 + 3 = t, 2*s + 6 = 4*t. What is the nearest to 0 in s, -0.3, v?
-0.3
Let g = 934 - 935. Which is the closest to g? (a) -1/4 (b) -3 (c) 38
a
Let x be 2/(-11) + 8805/48730. Let i = x + -1753/16834. Let w = i - 9/95. Which is the nearest to -1/2? (a) -1/4 (b) w (c) 0
a
Let k(w) = -2*w**2 + 13*w + 65. Let l be k(10). What is the closest to 2.5 in 0.2, 3, l, 4?
3
Let n = -3620 - -3619. Let d be (-4)/(-30)*(2 - -1). What is the nearest to n in -4, 0.2, | {
"pile_set_name": "DM Mathematics"
} |
(g) = 555*g**2 + 94*g - 104. Is d(27) a composite number?
True
Let g(m) = 37*m**3 - m**2 - 3*m - 7. Let x be g(-4). Let i = -496 - x. Is i composite?
True
Suppose -35*d + 33*d + z = -84265, 2*d + 2*z - 84256 = 0. Is d a prime number?
True
Suppose -20*x + 13*x - 731203 = -18*x. Is x composite?
True
Let l = -236 - -239. Suppose -v - 2*g = -4615, l*g + 2508 + 2092 = v. Is v composite?
True
Let f(l) = -71*l**3 - 5*l**2 - 14*l - 22. Let s be f(-3). Suppose 1140 = 8*p - s. Is p composite?
False
Let r be (-2 - (1 - -32))*(-26 - -7). Let o = r - -853. Let u = -371 + o. Is u a prime number?
False
Is 10/6 - (-232587716)/906 prime?
True
Is (-52722740)/(-840) + (5/(-6))/5 a prime number?
False
Suppose 8*h - 269355 = -7*h. Is h a composite number?
False
Let b be (-1380863)/57 - (-3)/(-9). Let p = b - -44889. Is p a composite number?
False
Suppose 672*u - 101954 = 670*u. Is u prime?
False
Suppose -2*l = -3*l - 2*g + 10325, -3*l - 3*g = -30972. Let t = l + -3480. Is t a composite number?
True
Let d(z) = 1472*z**2 - 520*z - 4073. Is d(-8) composite?
True
Let w = -988 - -972. Suppose -729 = -2*k + k. Let m = k - w. Is m a composite number?
True
Let y = -111043 - -340382. Is y composite?
True
Let i = -56 + 59. Suppose 2*d = -5*w + 296, 2*d - i*w = 2*w + 316. Suppose -p = -174 - d. Is p a composite number?
True
Suppose 3*b + 3*y + 138 = 0, 2*b + 46 = b - 2*y. Is (-5458)/4*(44 + b) a composite number?
False
Let t(s) = -s**3 + 19*s**2 - 30*s + 11. Let z be t(15). Let q = z + 90. Is q composite?
True
Suppose 255*a - 295*a = -3149480. Is a prime?
True
Let f = -19 - -28. Suppose f*c - 11*c = 0. Is (c + 2/3)/((-18)/(-8289)) a prime number?
True
Let v = -137 + 141. Let n be ((-626)/v)/(-5 + 45/10). Let x = 1874 - n. Is x a composite number?
True
Suppose -4*b = -10 + 2. Let l be (8 - 3)*(-2)/b*-1401. Is l/10 - (-4)/8 composite?
False
Suppose -3663*w - 458909 = -3674*w. Is w prime?
True
Suppose -34 = -2*o - 42. Let d(u) = -15*u**3 + 5*u**3 - 5*u + u + 3 + 3*u**2 + 12*u. Is d(o) a prime number?
True
Let d = -5694 - -3029. Let t = 4156 + d. Suppose -6*y + 3*y = -t. Is y composite?
True
Let b = 162 + -158. Suppose 4*j + 4*y = 4148, b*j + 1851 = 2*y + 6029. Is j composite?
True
Let x(r) = 59*r**3 - 30*r**2 + 123*r + 1. Is x(5) prime?
False
Let h(q) = -15631*q - 5471. Is h(-4) composite?
True
Let c = -102635 + 177804. Is c prime?
True
Suppose 0 = 310*i - 342*i + 1274272. Is i prime?
True
Let m(l) = 1543*l**2 + 139*l + 15. Is m(-29) composite?
False
Let n(h) = -h**3 - 6*h**2 + 2*h + 28. Let q be n(-6). Is q*(34/8 + -4) + 3013 a prime number?
False
Let q(w) = -212*w + 151. Let l(s) = 53*s - 37. Let y(m) = -25*l(m) - 6*q(m). Suppose 0 = -4*c - c - 40. Is y(c) prime?
True
Suppose 0 = 3*m + 4*y - 129753, -4*y + 4 = -20. Is m prime?
False
Let f(w) = -4*w**2 - 4*w + 36 + 22758*w**3 - 37 + 8*w. Is f(1) a prime number?
False
Is 3254191/9 - 50/(-225) a prime number?
True
Suppose 82*d + 180*d + 12565955 - 58015881 = 0. Is d prime?
True
Let a(w) = 1185*w**3 + w**2 - 1. Let p be a(1). Suppose -v - 4*v = 5*h + p, 5*h - 5*v + 1225 = 0. Let o = h - -3060. Is o a composite number?
False
Let l(r) = -190676*r**3 + 7*r**2 + 15*r + 9. Is l(-1) a composite number?
True
Let s(t) = t**3 - 7*t**2 + 5*t + 12. Let r(f) = -1 + 5 - 17*f - 28*f**2 + 27*f**2 + 21. Let a be r(-18). Is s(a) a prime number?
True
Suppose 0*o + o - 60195 = u, -u = -3*o + 180591. Suppose -86*l = -92*l + o. Is l a prime number?
False
Suppose -3*g - 632 = -d, -d + 2*d - 672 = -5*g. Is 1/(-3)*-6*d a composite number?
True
Is 8/1 + ((-1991)/(-44)*3352 - -17) a prime number?
True
Let u = -459 - -452. Is (-5864)/u - (30/42 + -1) a prime number?
False
Is (-159522)/(-2) + (42/(-12) - 1/2) prime?
True
Suppose 0 = -o + 22 - 14. Suppose -c = -o*c + 1757. Is c prime?
True
Let d(z) = -2*z + 9. Let b be d(2). Suppose b*c = -3*r + 6290, 3691 + 2594 = 5*c + 2*r. Is c prime?
False
Let o(n) = 288*n + 1237. Is o(92) composite?
False
Suppose 4*m - 30 = 3*w - 8, 3*m + 15 = 0. Is (-8)/(-28) + ((-41088)/w)/4 a prime number?
False
Let y = 3205232 + -1435285. Is y prime?
True
Let x be 0 + -3 - (-6)/9*-12. Let m be 1*(x - -4)*17. Let d = 168 + m. Is d a prime number?
False
Suppose -43 + 13 = -5*a. Let r(j) = 33 + 76*j + 12 + a. Is r(28) prime?
True
Let t be ((-4)/6)/((-6)/9). Let d = 124 + -110. Let c = d - t. Is c prime?
True
Let g = 463 + -458. Suppose 4*z + 14139 = g*k, 2*z - 7*z + 8476 = 3*k. Is k a composite number?
True
Let b be (27 + -30)*(-4)/(-18)*-3. Is b*((-82856)/(-16) + 5) composite?
True
Let v be -3*((-5)/(-1))/(-5). Suppose -g = -v*g - 6, 0 = -i + g + 770. Is i + 0/((-3)/(-6)*-4) a composite number?
True
Let b(i) = 2*i + 8. Let h be b(0). Let a(k) = k - 9. Let g be a(11). Suppose f + 318 = w, g*f - h = w - 321. Is w a prime number?
False
Suppose -190403 + 70833 = -5*z + g, 5*z - 119590 = -3*g. Is z composite?
True
Suppose 15*c = -33*c + 678606 + 1842306. Is c a prime number?
False
Let r(f) = 803*f**2 + 146*f + 998. Is r(-7) a composite number?
False
Let g = 14914 - 33547. Let y = g - -27100. Is y a prime number?
True
Let p(n) = 5*n**3 - 44*n**2 - 15*n - 55. Is p(13) a composite number?
False
Let y = 8608 - 4676. Suppose -5*p = -9*p + y. Is p prime?
True
Let f(g) = 3852*g**2 + 46*g + 145. Let a(v) = 2. Let l(w) = -4*a(w) + f(w). Is l(-3) a composite number?
False
Let t be (-14)/(-4) + (-9)/6. Suppose 0 = t*g + 2, 5*p - p + 38 = 2*g. Let r = p - -21. Is r composite?
False
Is 99961/(6 - 26 - -21) composite?
False
Suppose -6*h - 35316 = -5394. Let n = 9036 + h. Is n a prime number?
True
Let p(j) = 132*j - 29. Suppose 2*s - 5*k = 10, 5*s - k + 3*k - 54 = 0. Is p(s) a prime number?
True
Suppose -a - 3642 = -105. Let v = a - -8824. Is v composite?
True
Let n be 2754/(-45)*555/(-6). Suppose 4*w + 14417 = d - 4*d, -3*w + 3*d = 10839. Let p = w + n. Is p composite?
False
Suppose 16*w - 395716 = 33036. Is w a prime number?
False
Suppose 20*m - 12*m - 40 = 0. Suppose 15313 = m*y - 2*d, y = 5*y + d - 12240. Is y a prime number?
True
Suppose v = -4*p + 218, 4*p + 5*v - 98 - 128 = 0. Let m be ((-10)/(-4))/((-10)/(-8)). Is (-28332)/p*1/(m/(-3)) a prime number?
True
Let j(i) = 1110 + 6*i - 2*i - 2*i + 38. Let o be j(0). Suppose -3*v = -4*l + v + o, -2*l = -3*v - 574. Is l composite?
True
Suppose -11 = -4*d - 5*z, 4*d = 4*z + 16 + 40. Let f(m) = -44*m - 7. Let q(t) = 88*t + 17. Let l(r) = -5*f(r) - 2*q(r). Is l(d) a prime number?
True
Let f(w) = 47*w**2 - 11*w**2 - 8 + 9*w**2 + 29*w**2 + 5*w. Suppose z - 3 = -0. Is f(z) a composite number?
False
Suppose -4*m - t = -3*t - 14, -5*t - 23 = -4*m. Suppose 0 = 5*q - k - 41, 10 = m*q - k - 4. Let o(c) = 16*c**2 + c + 10. Is o(q) a composite number?
True
Let t = 15 - 6. Suppose 14*u - t*u - 1315 = 0. Suppose -x - 3*b - b = -257, x = -2*b + u. Is x a composite number?
False
Let c = -1 - -95. Let t = 5798 + -3079. Let x = t + c. Is x a composite number?
True
Let l be 2/(-4)*-107 - 19/38. Let w = 58 - l. Suppose -2*h = 3*h + 2*r - 1181, -w*h = -4*r - 1193. Is h a composite number?
True
Let h = -200 - -311. Let d = -45 + h. Suppose x + 51 = d. Is x a composite number?
True
Let q(s) = -66*s**2 + 242*s - 8. Let w(j) = 22*j**2 - 81*j + 3. Let m(g) = -4*q(g) - 11*w(g). Is m(8) composite?
True
Let v(p) = 4*p + 1. Let q be (-2)/((-4 - -10)/(-3)). Let l be v(q). Suppose w = -2, -w - 593 = -l*o + 184. Is o composite?
True
Is 37789675/700 + 14/8 prime?
True
Suppose 0 = q + 5*c, -q = 4*q + 4*c. Suppose -13*z + 11*z - 2038 = q. Is (-1)/((4/z)/4) composite?
False
Suppose 6*i - 1880 = 2*i + q, -5*q = -5*i + 2350. Let g = i + -1030. Let w = -225 - g. Is w composite?
True
Is ((-15856110)/(-135))/((-2)/(-10) - 28/(-60)) a prime number?
True
Let v = -26735 - -75088. Is v composite?
False
Let v(t) = 162*t**2 - 1. Let w be ((-10)/(-20))/((-2)/(-12)). Suppose -3*i - 4 = c + w, -13 = -3*i + 4*c. Is v(i) composite?
True
Let k(s) = 14*s**2 + 31*s. Suppose 3*a - 4*o - 24 = -o, -a - 3*o = 12. Suppose -4*c = -3*u + 19, 0 = 5*c + u + a + 35. Is k(c) a composite number?
True
Let l = 254658 - -33709. Is l composite?
True
Let d(n) = 3*n**2 - 39*n + 1. Let y(o) = o**3 - 2*o**2 - 2*o + 9. Let x be y(0). Let b(g) = g**2 - 4*g - 28. Let f be b(x). Is d(f) prime?
False
Suppose -1651194 = -7*i - 19*i + 935728. Is i composite?
False
Let a(n) = -n**3 | {
"pile_set_name": "DM Mathematics"
} |
+ m*i**3 + d*i + z and give z.
-433
Express 0*p**4 - p**4 - p**4 + (-6*p + 8 - 8)*(-3598*p**3 + 1826*p**3 + 1833*p**3) as m + j*p + f*p**3 + o*p**4 + t*p**2 and give o.
-368
Rearrange (7*y**3 - 42*y - 2*y**3 - 3*y**3)*(-45 - 33 + 84) to the form a*y**3 + z*y + x*y**2 + q and give a.
12
Rearrange (-4*w**2 - 83*w**2 - 74*w**2)*(-82*w**2 - 6*w**2 - 93*w**2 + 50*w**2 - 48*w**2) to the form x*w**2 + q*w + m*w**4 + g*w**3 + r and give x.
0
Express (-26*j - 6 + 6)*(67*j + 7*j + j) as z*j + y*j**2 + w and give y.
-1950
Rearrange -112 - 118 + 336 - 112 + s**3 + 17*s - 3*s**2 to the form m*s + a*s**2 + y + i*s**3 and give y.
-6
Express -800*b**2 - 158*b**2 - 10*b + 6 + 8*b - 2 as j + r*b + w*b**2 and give w.
-958
Express -325 - g - 282 + 600 - 12*g**3 + g**2 in the form u*g + z*g**3 + t + m*g**2 and give m.
1
Rearrange 194*j**3 + 13*j - 2*j + 2 + 192*j**3 - 389*j**3 - 65*j + 8*j**2 to the form d*j + f + z*j**2 + h*j**3 and give f.
2
Rearrange -k + k - k**2 + (-1 + 3*k + 1)*(k + 2*k - k) + 0*k + 2*k**2 + 0*k - 46*k - 72*k**2 + 46*k to a + f*k + q*k**2 and give q.
-65
Rearrange (10*g - 36*g - 14*g)*(-741*g + 335*g - 2 + 362*g) to the form t*g + y*g**2 + a and give t.
80
Express 27*g - 18*g - 89 - 9*g + 92 - 453*g**2 in the form d*g + u + z*g**2 and give z.
-453
Rearrange (13 + 3 - 1)*(-4 - 1 + 3)*(-1108 + 1108 - 175*d) to the form i + t*d and give t.
5250
Rearrange (38873 - 8811*s**2 - 38873)*(s + s - 5*s) to the form j*s**2 + i*s**3 + f + l*s and give i.
26433
Express ((39*m**2 - 120*m**2 + 18*m**2)*(2 + 1 - 5) + 0*m**2 + 2*m**2 - 4*m**2)*(17*m + 17*m - 5*m) as v + n*m**3 + d*m**2 + b*m and give n.
3596
Rearrange 8223486 + 7084*f - 8223486 to the form a*f + c and give a.
7084
Rearrange (-4*x**3 + 4*x**3 - 2*x**3)*(6*x + 30*x + 10*x - x - 47*x - 15478) to k*x**4 + w*x**2 + o*x + d*x**3 + g and give d.
30956
Rearrange (0 - 2 + 1)*(-n + 3*n - 3*n) + (-1304*n + 825*n + 707*n)*(-5 + 4 + 7)*(-5 + 2 + 1) to the form w + b*n and give b.
-2735
Rearrange 77*b - 3*b**2 + 15*b**4 - 42*b + 4 + b**3 - 41*b - 2 - 4*b**4 to u*b + p*b**4 + y + n*b**3 + d*b**2 and give p.
11
Rearrange 491*t + 1867*t + 349*t to u + m*t and give m.
2707
Rearrange 127400*y**2 - 256285*y**2 + 123344*y**2 to s + t*y + l*y**2 and give s.
0
Express -3 - 2 - 5144*w - 5 + 0 + 6 as j*w + z and give z.
-4
Rearrange -2*j**3 - 56*j + j**2 - 38*j + 0*j**4 - 9*j**4 - 2 + 11*j**4 + 14*j to t + p*j**4 + y*j**3 + c*j + n*j**2 and give y.
-2
Express (-12 + 5 + 10)*(n**3 - 402003*n - 157*n**2 + 402003*n) in the form r*n + x + u*n**3 + h*n**2 and give h.
-471
Rearrange (-11469*x + 26721*x - 138 + 138 + 1108*x + 16615*x)*(1 - 1 - 3) to l*x + k and give l.
-98925
Express -60*o - 90*o - 85*o in the form d + v*o and give v.
-235
Rearrange 12176*r - 38 + 15 - 7 + 30 to the form g + n*r and give n.
12176
Express -1983*l + 1334*l + 600*l + 3*l**3 + 2324*l in the form j*l + w*l**3 + s*l**2 + u and give w.
3
Rearrange (2 + 2*h - 2)*(-2*h**2 + 2*h**2 + h**2) + 29*h**3 - 376*h + 376*h - h**3 - 10 + 10 to j*h**3 + w*h + f*h**2 + i and give j.
30
Express -414*x**3 + 17*x - 97 - 17*x**2 + 204*x**3 + 24*x + 207*x**3 - 42*x as o*x**2 + m*x**3 + a + y*x and give y.
-1
Express -103*v**2 + 2 + 1723*v**2 + 2314*v**2 + 2*v**3 as p + s*v**2 + m*v**3 + h*v and give s.
3934
Express -10 + 297*h**3 - 299*h**3 + 4*h**2 + 187*h**2 - 28*h**2 in the form p*h**2 + u*h**3 + b*h + v and give u.
-2
Express (18 + t - 20 + 14*t)*(4 - 3 - 3)*(-13*t**2 - 4*t**2 - 3*t**2 + (-4*t + 0*t + 3*t)*(0*t - 3*t + 2*t)) as i*t**2 + j*t + q*t**3 + x and give q.
570
Express (68*b**2 + 61*b**2 + 812*b**3 - 130*b**2)*(-3 - 3 + 0) as s + n*b**2 + u*b + i*b**3 and give i.
-4872
Rearrange 137 + 6*s**3 - 1637*s + 819*s + 821*s to the form z + m*s**3 + t*s + n*s**2 and give t.
3
Rearrange (-757*l - 639*l + 1156*l)*(22*l**3 - 10*l**3 - 81*l**3) + l**4 - 2 + 2 to the form u*l**2 + g + j*l + r*l**4 + k*l**3 and give r.
16561
Rearrange 501*j**2 + 265*j - 265*j + (0 - 3 + 2)*(j**2 + 2*j**2 - 2*j**2) + j**2 - 3*j + 3*j to the form s + n*j + l*j**2 and give s.
0
Express (13*p - 12*p - 16*p)*(21*p**3 - 4*p**3 - 6*p**3)*(11 - 10 + 25) in the form l*p**4 + a*p**2 + d + w*p**3 + g*p and give l.
-4290
Express 4238*m - 1778*m + 4156*m as g + l*m and give l.
6616
Rearrange 3 - 5*y**3 - 5*y**3 + 166*y - 166*y - 4*y**2 + 7*y**3 - 4*y**4 to x*y**2 + r*y**3 + s*y**4 + k + d*y and give k.
3
Rearrange (5 - 5 - 1)*(5243 - 682 + 7315)*(0 + h + 0) to b*h + a and give b.
-11876
Express 312731 - 312731 - 3558*i**2 as r*i**2 + n + z*i and give z.
0
Rearrange -53*a**2 - 5 - 11 + 4 + 52*a**2 + 25*a to the form o*a**2 + g*a + r and give o.
-1
Express (-m + 2*m - 2*m)*(4 - 100 - 115 + (-2 + 0 + 0)*(3 + 7 + 1)) as w + s*m and give s.
233
Rearrange -20806 + 10386 + 34342*h + 10421 to the form j*h + k and give j.
34342
Rearrange -196*d**3 + 94*d**3 + 63*d**3 - 10*d**2 - 2 - 3*d + 22*d**3 + 111*d**3 to the form t + x*d**3 + f*d + j*d**2 and give x.
94
Rearrange (-3 - 32 - 10)*(55*f + 19*f - 39*f) to y*f + q and give y.
-1575
Rearrange -26*n + 3*n**4 - 40*n**2 + 6 + 17*n - 11*n + 32*n**2 - 4*n**4 to v*n + p*n**3 + b*n**4 + m + j*n**2 and give b.
-1
Express 2*i**4 + 2*i**3 + 497 - 13*i - 3*i**2 - 3*i**4 - 491 + i - 4*i**3 as s*i**3 + c + x*i + u*i**4 + b*i**2 and give b.
-3
Rearrange 8*b**2 - 9*b**2 - 2*b**3 + 2 + 16*b**2 - 6 - 4*b**4 - 13*b**2 to the form p + f*b**3 + x*b**4 + y*b**2 + a*b and give f.
-2
Rearrange 3921*g - 3*g**2 + 9*g**3 - 6*g**3 + g**4 - 1 + 0*g**4 - 3920*g + 3*g**3 to l*g**2 + h*g + r + b*g**3 + z*g**4 and give z.
1
Express (f + 5*f - 4*f)*(-14441 - 18253 + 4406 - 15158 - 14427) in the form u + h*f and give h.
-115746
Express -3*f + 2*f + 2*f + (3 - 4 + 2)*(3*f + f - 5*f) + 2*f + 2*f - 6*f + 21094*f + 144675102 - 144675102 as n*f + p and give p.
0
Rearrange 211*x + 118*x**2 + 3 - 250*x**2 + 2*x**3 + 134*x**2 - 1 to m*x + y*x**2 + i + b*x**3 and give y.
2
Express 25*l**2 - 21*l**3 - 1 - 8*l**3 + 31*l**3 - 166*l**2 in the form x*l**3 + b*l**2 + u*l + r and give x.
2
Express (-12*m**3 + 8*m**3 - 11*m**3)*(1 - 5 + 1)*(-8*m - 22 + 22) as p*m**2 + d*m**4 + c + h*m**3 + j*m and give d.
-360
Rearrange -1634*p**2 + 535*p**2 - 682 + 552*p**2 + 535*p**2 to h*p + s*p**2 + f and give s.
-12
Rearrange (2 - 2 - i**2)*((-4 + 3 + 0)*(-3 + 0 + 2) + (3 - 11 - 12)*(12 + 14 + 13)) to the form r*i**2 + b + h*i and give r.
779
Express 16*p + 2*p**2 - 363 - 6*p**2 + 4*p**3 + 363 as f*p + b + z*p**3 + u*p**2 and give u.
-4
Rearrange y**4 + 7*y**3 - 28657 - 4*y + y**2 - 3*y**4 - 7*y**3 + 28553 to the form s*y**4 + t + c*y**2 + f*y**3 + k*y and give c.
1
Rearrange 2*i**2 - 11*i**2 - 17*i**3 - 9270 + 21*i + 9278 - 21*i to y*i**2 + n + u*i + t*i**3 and give n.
8
Express -65*k**4 + 18*k**4 + 6*k**2 + 25*k**4 + 14*k**2 + 10*k + 24*k**4 as o*k + q + f*k**4 + t*k**3 + j*k**2 and give f.
2
Rearrange -207*x + 53*x + 14 - 4 - 87*x - 4 to the form f*x + a and give f.
-241
Rearrange -60*i**3 + 64*i + 61*i - 126*i + 0 - 127*i**3 + 1 to the form h*i**3 + z*i**2 + l*i + w and give h.
-187
Rearrange (-q + 7*q - 2*q)*((-4 + 1 + 4)*(-2 + 3 - 17) - 4 + 3 + 6) - 8*q - 3*q - 4*q to z*q + m and give z.
-59
Express (-40*u - 574 + 574)*(18*u - 28 - 27*u + 11*u) in the form z + w*u**2 + x*u and give z.
0
Express (-37*h**3 - 145*h**3 - 70*h**3)*(-4 + 7 + 11) in the form w*h + g + n*h**3 + j*h**2 and give j.
0
Rearrange 2993*v**4 - 2 - 1496*v**4 + 38*v**2 - 1494*v**4 - 2*v to p + n*v**2 + j*v + i*v**4 + x*v**3 and give x.
0
Express -7*z**3 - 1 - 58*z + 213*z - 64*z - 434*z**2 - 90*z as c*z**3 + r + t*z**2 + j*z and give j.
1
Rearrange (4*g**2 + g**2 - g**2)*(34*g**2 + 1224*g - 2717*g + 1492*g - 203) to u + v*g**2 + n*g**4 + r*g + a*g**3 and give u.
0
Express 19*s**2 - 5 - 35*s**2 - 20*s**2 - 59*s**2 as b*s + j + r*s**2 and give r.
-95
Rearrange 1 - 1 + i - 2 + 2 - 2*i + (-2*i - 11*i - 2*i)*(-3 + 3 - 1) - 3*i + 0*i + 2*i + i + i - 5*i + 5 - 5 + 8 - i to z + b*i and give z.
8
Express -4*q**4 + 2*q**4 + 3*q**4 + (q**2 - 4*q**2 + 5*q**2)*(14676445 - 4547*q**2 - 14676445) in the form w*q + n*q**4 + l + p*q**3 + f*q**2 and give n.
-9093
Express 508 + 736*g - 738*g - g**3 + 240 in the form w*g**2 + s*g + f + m*g**3 and give m.
-1
Rearrange 3*y**2 - 1 + 8*y**4 - 1 + 522*y**3 - 262*y**3 + 6*y - 258*y**3 to h*y**2 + o + q*y**4 + d*y**3 + | {
"pile_set_name": "DM Mathematics"
} |
lest common multiple of 252 and 5460?
16380
What is the smallest common multiple of 2496 and 2232?
232128
Calculate the smallest common multiple of 77898 and 64915.
389490
Calculate the common denominator of -62/21 and 11/156447.
1095129
Calculate the common denominator of 133/102576 and 7/60.
512880
Find the common denominator of -29/8 and 71/50058.
200232
Calculate the lowest common multiple of 30 and 107661.
1076610
Calculate the smallest common multiple of 21 and 10797.
75579
What is the common denominator of 91/464630 and 41/10?
464630
What is the common denominator of 31/66 and 19/880?
2640
Find the common denominator of 15/46184 and 47/4016.
92368
Calculate the smallest common multiple of 45 and 165330.
165330
What is the common denominator of 11/28 and -83/123984?
123984
Find the common denominator of -59/365071 and 17/2.
730142
Calculate the lowest common multiple of 12 and 430425.
1721700
Calculate the least common multiple of 111960 and 242580.
1455480
Find the common denominator of -29/3744 and -161/2652.
63648
Find the common denominator of -163/31290 and 107/4470.
31290
What is the least common multiple of 11 and 108622?
1194842
Calculate the least common multiple of 5874 and 20196.
1797444
What is the lowest common multiple of 810 and 570?
15390
What is the common denominator of -7/11 and 73/245748?
2703228
Calculate the least common multiple of 90060 and 948.
90060
Calculate the common denominator of 16/170355 and 67/1476.
2044260
What is the common denominator of 49/3393 and -27/377?
3393
Calculate the least common multiple of 4440 and 240.
8880
Calculate the lowest common multiple of 1438 and 204.
146676
What is the common denominator of -29/85704 and -47/157124?
942744
Find the common denominator of 7/3048 and -40/27.
27432
What is the common denominator of 67/4086 and -46/4185?
1899990
Find the common denominator of 137/550 and 61/5200.
57200
Calculate the least common multiple of 625075 and 56825.
625075
Calculate the common denominator of -30/11 and -83/131943.
1451373
Find the common denominator of 17/37232 and -101/6.
111696
What is the least common multiple of 560 and 120?
1680
What is the smallest common multiple of 3536 and 260?
17680
Find the common denominator of -37/423 and 1/9.
423
What is the smallest common multiple of 735556 and 58?
735556
Calculate the common denominator of 62/3 and -27/27083.
81249
Find the common denominator of -95/1176 and 137/79968.
79968
What is the lowest common multiple of 138 and 34953?
1607838
Calculate the common denominator of -9/17353 and 11/269.
4667957
Calculate the common denominator of -55/744 and 25/273296.
819888
Calculate the smallest common multiple of 17352 and 240.
173520
Calculate the least common multiple of 17575 and 209.
193325
What is the common denominator of -9/206 and 33/1030?
1030
What is the smallest common multiple of 303290 and 7?
2123030
Calculate the smallest common multiple of 313908 and 11396.
3452988
What is the lowest common multiple of 2380 and 488?
290360
What is the lowest common multiple of 4 and 246604?
246604
What is the common denominator of 59/56056 and 19/71344?
784784
Calculate the common denominator of 71/36 and -25/11688.
35064
What is the common denominator of 23/1503 and 169/15030?
15030
What is the lowest common multiple of 6552 and 702?
19656
Calculate the least common multiple of 4 and 255904.
255904
What is the lowest common multiple of 675 and 56295?
281475
Calculate the least common multiple of 1734 and 89216.
4550016
Calculate the common denominator of 68/7645 and -18/10505.
1460195
Calculate the common denominator of -209/840 and 41/1200.
8400
What is the least common multiple of 892110 and 6550?
4460550
What is the smallest common multiple of 4 and 137156?
137156
Calculate the least common multiple of 42 and 12492.
87444
What is the lowest common multiple of 692604 and 314820?
3463020
Find the common denominator of -47/900 and -13/27500.
247500
Calculate the common denominator of -59/170420 and 79/80.
681680
Calculate the lowest common multiple of 18 and 2982150.
2982150
Calculate the common denominator of 37/578340 and -65/57834.
578340
What is the common denominator of 8/135 and -46/43395?
390555
What is the common denominator of 113/12972 and -169/2760?
129720
What is the least common multiple of 270 and 9800?
264600
Calculate the smallest common multiple of 123 and 6806.
20418
What is the common denominator of -95/37352 and 5/10304?
298816
Calculate the smallest common multiple of 631093 and 2338.
8835302
What is the least common multiple of 3 and 394233?
394233
What is the least common multiple of 16143 and 33?
177573
What is the least common multiple of 102 and 18326?
54978
What is the lowest common multiple of 5679 and 18930?
56790
What is the lowest common multiple of 50 and 21590?
107950
Find the common denominator of -107/8477424 and 88/15.
42387120
Calculate the common denominator of 26/44235 and -58/83555.
751995
Find the common denominator of -11/49056 and -13/9576.
2796192
What is the smallest common multiple of 54240 and 120?
54240
Calculate the common denominator of 11/76 and -8/437.
1748
Find the common denominator of 131/480 and -83/48.
480
What is the lowest common multiple of 70 and 25900?
25900
What is the lowest common multiple of 126 and 864?
6048
Find the common denominator of 42/1805 and 49/1520.
28880
Calculate the smallest common multiple of 7140 and 1260.
21420
Find the common denominator of -20/3919 and 17/11757.
11757
What is the lowest common multiple of 165189 and 51?
165189
Calculate the smallest common multiple of 9420 and 57776.
866640
Calculate the smallest common multiple of 6804 and 104004.
728028
Calculate the least common multiple of 15280 and 672.
641760
Calculate the common denominator of -57/14 and -64/1771.
3542
What is the lowest common multiple of 38409 and 10974?
76818
What is the common denominator of 149/19452 and -125/48?
77808
What is the smallest common multiple of 1640 and 45?
14760
Find the common denominator of 51/560 and 41/490.
3920
Calculate the least common multiple of 1 and 39354.
39354
What is the common denominator of 97/137856 and 85/14?
964992
What is the common denominator of -47/825 and 14/2547?
700425
What is the least common multiple of 6 and 20571?
41142
What is the lowest common multiple of 352 and 7552?
83072
What is the common denominator of 119/6 and -21/614491?
3686946
Calculate the smallest common multiple of 13236 and 92652.
92652
Calculate the smallest common multiple of 1104 and 80.
5520
Calculate the common denominator of 10/4641 and 131/780.
92820
Calculate the common denominator of 95/954 and -15/54484.
490356
Calculate the lowest common multiple of 80 and 122160.
122160
What is the smallest common multiple of 57178 and 462622?
5088842
Find the common denominator of -40/273699 and 16/273699.
273699
Calculate the common denominator of -11/18542 and 5/7.
129794
Find the common denominator of -20/413 and 47/2183.
15281
Calculate the smallest common multiple of 533082 and 290772.
3198492
What is the least common multiple of 11424 and 49?
79968
What is the lowest common multiple of 138351 and 184468?
553404
Find the common denominator of 31/166552 and 31/2674.
1165864
Calculate the common denominator of -47/22 and -41/794.
8734
Find the common denominator of 63/13334 and -39/1094.
7293698
Calculate the least common multiple of 24 and 8362.
100344
What is the lowest common multiple of 567 and 672?
18144
Calculate the common denominator of -88/45 and 29/10548.
52740
What is the smallest common multiple of 91520 and 752?
4301440
Find the common denominator of -2/11 and -11/40703.
447733
What is the common denominator of -1/6024 and -101/12?
6024
Calculate the common denominator of -123/476 and -55/37944.
265608
What is the smallest common multiple of 4401 and 5481?
893403
What is the smallest common multiple of 10373 and 989?
446039
What is the common denominator of -25/147 and 30/1519?
4557
What is the common denominator of -91/391824 and 101/864?
783648
What is the lowest common multiple of 5439 and 10?
54390
What is the smallest common multiple of 50680 and 46336?
1621760
Calculate the lowest common multiple of 308 and 16352.
179872
Find the common de | {
"pile_set_name": "DM Mathematics"
} |
in ascending order.
-2585, -466, 5
Sort -552, -466, -4 in increasing order.
-552, -466, -4
Put 1/2, 1/5, 4/3, 166 in descending order.
166, 4/3, 1/2, 1/5
Sort -0.1, -361, 5/4, 18.
-361, -0.1, 5/4, 18
Sort 2.7, -2/21, -0.3, -37/5 in descending order.
2.7, -2/21, -0.3, -37/5
Sort 5, 1, 358442 in decreasing order.
358442, 5, 1
Sort -176, 83, 0, 3 in descending order.
83, 3, 0, -176
Sort 1026, 3, -37 in increasing order.
-37, 3, 1026
Sort -2/7, 1/7, -23/26, 5/4 in increasing order.
-23/26, -2/7, 1/7, 5/4
Sort -7/30, -0.5, 2, -6, 4/5, -2/9.
-6, -0.5, -7/30, -2/9, 4/5, 2
Put 0.2, -722, -787 in descending order.
0.2, -722, -787
Put -3, 17, 8, 28, 2, -4 in descending order.
28, 17, 8, 2, -3, -4
Put -1/2, -2/9, -1.12, -1/5, -2/17 in decreasing order.
-2/17, -1/5, -2/9, -1/2, -1.12
Sort 2/13, 0.6, -2/11, 1, -0.5.
-0.5, -2/11, 2/13, 0.6, 1
Sort 147, -0.36, 5, -2/11.
-0.36, -2/11, 5, 147
Put 963, 5, -5, 1, -2 in increasing order.
-5, -2, 1, 5, 963
Sort 0.1, -6, -0.1, -0.4, 1, -0.332 in ascending order.
-6, -0.4, -0.332, -0.1, 0.1, 1
Sort -1/2, 7, 2/15, -1/11, -1, 2.6 in descending order.
7, 2.6, 2/15, -1/11, -1/2, -1
Put -0.064, -2, -8, 14 in descending order.
14, -0.064, -2, -8
Put -110, -2/3, -164 in ascending order.
-164, -110, -2/3
Put -0.12, 3, -0.1, 2/5, -265 in descending order.
3, 2/5, -0.1, -0.12, -265
Put -10, -9.5, 2, -5, 0.1 in increasing order.
-10, -9.5, -5, 0.1, 2
Put 2, 798, 281, 4 in decreasing order.
798, 281, 4, 2
Put 1/7329, 5/11, -2/11 in descending order.
5/11, 1/7329, -2/11
Put -2, -252, -7 in increasing order.
-252, -7, -2
Sort -16, 1713, 2 in decreasing order.
1713, 2, -16
Sort -2, 4, 446, 5, 1, 0 in descending order.
446, 5, 4, 1, 0, -2
Put 1, -12, 12, -419, 4, -3 in ascending order.
-419, -12, -3, 1, 4, 12
Sort 6725, -4, 2/11, -31.
-31, -4, 2/11, 6725
Sort 2, 145892, -1, 5.
-1, 2, 5, 145892
Sort -83, 3.4, 10, 2/11 in descending order.
10, 3.4, 2/11, -83
Sort 45, 7.04, 0.4, 7 in decreasing order.
45, 7.04, 7, 0.4
Sort 1/3, 4, -4, -0.03, 5, -0.3 in ascending order.
-4, -0.3, -0.03, 1/3, 4, 5
Sort 4, -18, -66 in increasing order.
-66, -18, 4
Put 7, -12, 22, -2, 0 in ascending order.
-12, -2, 0, 7, 22
Put 5, 0, -4, 100, 2 in ascending order.
-4, 0, 2, 5, 100
Put 2, 1034, -5, -0.07 in decreasing order.
1034, 2, -0.07, -5
Put -4, -1, -480, -50 in ascending order.
-480, -50, -4, -1
Put 68, -455, -4 in ascending order.
-455, -4, 68
Sort 6, 1, -3, 1.8, -35 in descending order.
6, 1.8, 1, -3, -35
Sort -4, 2617, -9.7, -2/7 in descending order.
2617, -2/7, -4, -9.7
Sort -1.2, 183, 17, -2 in descending order.
183, 17, -1.2, -2
Put -0.4, 36344, 2, -0.5 in descending order.
36344, 2, -0.4, -0.5
Sort 28, 4, 291, 2, -3.
-3, 2, 4, 28, 291
Sort -19, -2, -1, 135 in descending order.
135, -1, -2, -19
Sort -0.5, -1/3, -63, -2, 3, 171 in descending order.
171, 3, -1/3, -0.5, -2, -63
Sort 2/7, 0.922, 40 in descending order.
40, 0.922, 2/7
Sort -14, 7, 1, -1, -7, -2 in decreasing order.
7, 1, -1, -2, -7, -14
Sort -3, 3, 5/6, 84, -1, 5.
-3, -1, 5/6, 3, 5, 84
Sort 0.4, -0.2, 5/14, 0.5 in decreasing order.
0.5, 0.4, 5/14, -0.2
Put 765, -2/3, 3, -24, -0.5, -2/7 in decreasing order.
765, 3, -2/7, -0.5, -2/3, -24
Put 0.3, -12/19, -52 in decreasing order.
0.3, -12/19, -52
Put -51, -13, -1, -3, -2 in decreasing order.
-1, -2, -3, -13, -51
Put 3, -3332, -28 in descending order.
3, -28, -3332
Sort -6, -1, 3, -4, 12 in increasing order.
-6, -4, -1, 3, 12
Put 2, 24, -3, 103, -5, -18 in ascending order.
-18, -5, -3, 2, 24, 103
Sort 50, 2, 1, 1/3, 20.
1/3, 1, 2, 20, 50
Sort -0.4, 0.02, 0.5, -6.121 in decreasing order.
0.5, 0.02, -0.4, -6.121
Put -3, -102, 2, -1/3, -0.2 in decreasing order.
2, -0.2, -1/3, -3, -102
Put 0, 3, -2, 376, -30 in increasing order.
-30, -2, 0, 3, 376
Put -5, -5077, -1, -2, 2 in descending order.
2, -1, -2, -5, -5077
Put 0, 3, -24, 4, -12/11, 2 in descending order.
4, 3, 2, 0, -12/11, -24
Sort 24, 222, -3 in decreasing order.
222, 24, -3
Put 4, -8, -13, 2, 27 in increasing order.
-13, -8, 2, 4, 27
Put -4398, -5, 1 in ascending order.
-4398, -5, 1
Sort -6, -2, 10, -5, 0.
-6, -5, -2, 0, 10
Put 2201, -24, -1 in decreasing order.
2201, -1, -24
Put -55/3, -1, 2/3, 4 in increasing order.
-55/3, -1, 2/3, 4
Sort 2, -5, 183, -47, 3 in descending order.
183, 3, 2, -5, -47
Put -6, -16/53, 5 in decreasing order.
5, -16/53, -6
Put 0, -1912, 1, -11, 3, -5 in increasing order.
-1912, -11, -5, 0, 1, 3
Sort 2, -220, 5, 281, -5 in ascending order.
-220, -5, 2, 5, 281
Put 2, 3, -9, 2.2 in decreasing order.
3, 2.2, 2, -9
Sort 0, -37, -1, -3731, -3 in descending order.
0, -1, -3, -37, -3731
Sort 0, 35, 1179, 4.
0, 4, 35, 1179
Put -1, 2234, 5, -3 in increasing order.
-3, -1, 5, 2234
Sort 2, 36749, 5, 4.
2, 4, 5, 36749
Sort -2, 583, 57 in increasing order.
-2, 57, 583
Put 4, 5, 2634, 2 in ascending order.
2, 4, 5, 2634
Sort 252, -0.6, -0.4, -1, 5 in descending order.
252, 5, -0.4, -0.6, -1
Sort 10, 23337, -0.8, 0.4.
-0.8, 0.4, 10, 23337
Sort -16, 11, -1, -2, 41 in increasing order.
-16, -2, -1, 11, 41
Sort 3, -1329, 1, 4.
-1329, 1, 3, 4
Sort 4, 5, 0, -0.3.
-0.3, 0, 4, 5
Sort -20, -3/196, 2/33, 4, -3 in decreasing order.
4, 2/33, -3/196, -3, -20
Sort -11.86, 23, 0.2 in ascending order.
-11.86, 0.2, 23
Sort 8, -4, -6023 in decreasing order.
8, -4, -6023
Put 4, -6/19, -2/3, 60, -0.4 in descending order.
60, 4, -6/19, -0.4, -2/3
Put 25, 6.1, 5 in descending order.
25, 6.1, 5
Sort 314, -3, 1, -5, -6, -20.
-20, -6, -5, -3, 1, 314
Sort -0.07, -19, -0.95 in decreasing order.
-0.07, -0.95, -19
Sort -3, 3, -41451.
-41451, -3, 3
Put -4.7, 0.179, 9, -1/2 in decreasing order.
9, 0.179, -1/2, -4.7
Sort -5/4, -1.8, 0.4, -3, -1 in ascending order.
-3, -1.8, -5/4, -1, 0.4
Put -782, 3, -3, -0.1, 0.1, 2 in increasing order.
-782, -3, -0.1, 0.1, 2, 3
Put -0.4, 0.213, 1/4, 8, -5 in descending order.
8, 1/4, 0.213, -0.4, -5
Sort -2, -24, -5, -65, 5.
-65, -24, -5, -2, 5
Put -31, 118, 0.1 in increasing order.
-31, 0.1, 118
Sort 2, -54, 4, -1, -3 in increasing order.
-54, -3, -1, 2, 4
Sort 9, 8, -343.
-343, 8, 9
Sort 5667, -3, 2 in ascending order.
-3, 2, 5667
Put 0.017, -27, 37 in descending order.
37, 0.017, -27
Sort 1471, 0, -12 in decreasing order.
1471, 0, -12
Put 0, 11, 2/9, 11/23, -0.2, -2 in decreasing order.
11, 11/23, 2/9, 0, -0.2, -2
Sort 1, -15, -5, -4, 19, -3 in decreasing order.
19, 1, -3, -4, -5, -15
Sort 1, -17, 155.
-17, 1, 155
Sort -4, -2, 3, 6, 41 in ascending order.
-4, -2, 3, 6, 41
Sort 2/11, 5, 1/6, -33/8, -209.
-209, -33/8, 1/6, 2/11, 5
Put 1994, 8, 13 in increasing order.
8, 13, 1994
Put -2360, -5, -4, 0 in ascending order.
-2360, -5, -4, 0
Sort 0, -3, 3, 53313 in ascending order.
-3, 0, 3, 53313
Put -5, 1, -6888, 19 in increasing order.
-6888, -5, 1, 19
Sort 32435, -1/5, -5.
-5, -1/5, 32435
Sort -4, 1, -1848, 0.
-1848, -4, 0, 1
Sort 20, 3, -20, 7 in descending order.
20, 7, 3, -20
Sort 4, -0.2, 1/2, -19/67.
-19/67, -0.2, 1/2, 4
Sort 7, -5, -4, -1016.
-1016, -5, -4, 7
Sort 4, -2, 823361 in increasing order.
-2, 4, 823361
Put 4, -9, -5, -44 in decreasing order.
4, -5, -9, -44
Sort 3, -45, 11.
-45, 3, 11
Put 1, 3, -1, -3, 4, -29077 in descending order.
4, 3, 1, -1, -3, -29077
Put -421, 3, -5, 4, 30 in descending order.
30, 4, 3, -5, -421
Sort 90, 4, 5, 2, -13, -7 in increasing order.
-13, -7, 2, 4, 5, 90
Sort 5, 3194, 11 in decreasing order.
3194, 11, 5
Sort 4, 144, 80 in descending order.
144, 80, 4
Put -1/8, 328, -1 in increasing order.
-1, -1/8, 328
Sort 5, -3, -161 in ascending order.
-161, -3, 5
Sort -297, -2, 30, -1 in ascending order.
-297, -2, -1, 30
Sort 1, 5, 0, 2, -6, -478.
-478, -6, 0, 1, 2, 5
Put 1, 5, 4, 0, 579 in decreasing order.
579, 5, 4, 1, 0
Put 0, 15952, -190 in decreasing order.
15952, 0, -190
Sort 0.016, -1/18, -2/165, -0.3 in descending order.
0.016, -2/165, -1/18, -0.3
Put -1, -11, 1113, 2 in descending order.
1113, 2, -1, -11
Put -3/7, -75.007, 2/13 in descending order.
2/13, -3/7, -75.007
Sort -1/18, 4, -193 in descending order.
4, -1/18, -193
Sort -2, 0, 26, 33.
-2, 0, 26, 33
Sort 13, -5, 5, 1019.
-5, 5, 13, 1019
Sort 2, -4, -9, 539, -5 in ascending order.
-9, -5, -4, 2, 539
Put -1, 93, 1, -989 in decreasing order.
93, 1, -1, -989
Sort 0, -221072, 1.
-221072, 0, 1
Put 41, -120, 4, 5, 1, -4 in descending order.
41, 5, 4, 1, -4, -120
Put | {
"pile_set_name": "DM Mathematics"
} |
5 rounded to 6 dps?
0.000002
Round -184.36 to the nearest ten.
-180
Round 19.502 to the nearest integer.
20
Round -4657700 to the nearest 100000.
-4700000
What is -6223 rounded to the nearest one hundred?
-6200
Round 0.000066862 to 6 dps.
0.000067
What is -9739 rounded to the nearest 100?
-9700
What is 4628000 rounded to the nearest one hundred thousand?
4600000
What is -0.00342743 rounded to 4 decimal places?
-0.0034
What is 1571.32 rounded to the nearest one hundred?
1600
Round 225035000 to the nearest 1000000.
225000000
Round -0.0000005739 to 6 dps.
-0.000001
Round -49576 to the nearest ten thousand.
-50000
What is -0.025003 rounded to four decimal places?
-0.025
Round -4388000 to the nearest one million.
-4000000
What is 105.9 rounded to the nearest 10?
110
Round -984540000 to the nearest one million.
-985000000
Round -0.0764 to 3 dps.
-0.076
What is -837900 rounded to the nearest one hundred thousand?
-800000
Round -107980 to the nearest 10000.
-110000
What is 1455990 rounded to the nearest ten thousand?
1460000
What is 14039 rounded to the nearest one thousand?
14000
Round 4177000 to the nearest 1000000.
4000000
What is 23.514 rounded to one dp?
23.5
What is 0.00000184 rounded to six dps?
0.000002
Round 55.3 to the nearest integer.
55
What is 0.015191 rounded to 3 decimal places?
0.015
What is -0.1831 rounded to 1 decimal place?
-0.2
What is -0.0187855 rounded to 3 dps?
-0.019
Round 0.01363 to three dps.
0.014
Round 0.000080035 to five dps.
0.00008
What is 0.000766 rounded to five dps?
0.00077
Round 23.665 to 0 decimal places.
24
Round -44.932 to the nearest integer.
-45
What is -0.0005869 rounded to 4 dps?
-0.0006
What is -5.78 rounded to one decimal place?
-5.8
Round -163 to the nearest 10.
-160
What is -20.05 rounded to the nearest integer?
-20
Round 71100 to the nearest one thousand.
71000
What is 16492400 rounded to the nearest one million?
16000000
Round 1228 to the nearest 100.
1200
What is -4.5085 rounded to two dps?
-4.51
What is 0.0000021579 rounded to 7 decimal places?
0.0000022
Round 3.537 to 0 dps.
4
Round -0.122345 to 3 decimal places.
-0.122
What is 0.019033 rounded to 3 dps?
0.019
Round 107.88 to the nearest integer.
108
Round -144400 to the nearest 10000.
-140000
What is 68.09 rounded to the nearest integer?
68
Round -0.00000015272 to 7 dps.
-0.0000002
Round -10118 to the nearest one hundred.
-10100
What is -0.003891 rounded to 4 decimal places?
-0.0039
What is -0.0009553 rounded to four decimal places?
-0.001
Round -0.000002138 to six decimal places.
-0.000002
What is 0.0638 rounded to 2 decimal places?
0.06
Round -760100 to the nearest 10000.
-760000
Round 33 to the nearest one hundred.
0
Round -14344.5 to the nearest 1000.
-14000
Round -6690000 to the nearest 100000.
-6700000
What is -0.000007258 rounded to five dps?
-0.00001
Round -0.0632 to 2 decimal places.
-0.06
Round 0.000101615 to five dps.
0.0001
What is 0.014532 rounded to 4 dps?
0.0145
Round -1372200 to the nearest one hundred thousand.
-1400000
What is 13675000 rounded to the nearest one hundred thousand?
13700000
What is 0.07182 rounded to two decimal places?
0.07
What is -105782 rounded to the nearest 100?
-105800
What is 127100000 rounded to the nearest one million?
127000000
Round -37.76 to the nearest integer.
-38
What is 260.08 rounded to the nearest 10?
260
Round 920 to the nearest 1000.
1000
What is 1617 rounded to the nearest 1000?
2000
Round -0.00004394 to five dps.
-0.00004
What is -31.93 rounded to the nearest 10?
-30
What is -630.42 rounded to the nearest 10?
-630
Round 0.0597 to 2 dps.
0.06
Round 0.0001145 to five dps.
0.00011
Round 0.00028185 to five dps.
0.00028
Round 359.17 to the nearest ten.
360
Round -87.25 to 0 decimal places.
-87
Round -290340 to the nearest one thousand.
-290000
What is -0.000001069 rounded to seven decimal places?
-0.0000011
What is 0.0000303 rounded to four dps?
0
Round -8770000 to the nearest one million.
-9000000
What is 13190.6 rounded to the nearest one hundred?
13200
Round 42550 to the nearest 1000.
43000
Round -0.0119667 to five dps.
-0.01197
Round -0.00818 to 3 decimal places.
-0.008
Round 232720 to the nearest 1000.
233000
Round -0.0023787 to 4 decimal places.
-0.0024
What is -0.00015447 rounded to five dps?
-0.00015
Round 3952900 to the nearest 100000.
4000000
What is 0.00001611 rounded to seven dps?
0.0000161
What is -84.24 rounded to the nearest 10?
-80
Round -0.06681 to three decimal places.
-0.067
What is 10140000 rounded to the nearest 1000000?
10000000
What is -0.053403 rounded to 4 dps?
-0.0534
What is 1.178 rounded to two decimal places?
1.18
Round 0.00001406 to six dps.
0.000014
What is 0.000099162 rounded to 7 dps?
0.0000992
What is -48.45 rounded to the nearest one hundred?
0
Round -8.61 to the nearest 10.
-10
What is 0.0008559 rounded to 4 dps?
0.0009
What is -5783 rounded to the nearest 1000?
-6000
What is 61.6 rounded to 0 dps?
62
Round 20325 to the nearest one hundred.
20300
Round -118090 to the nearest ten thousand.
-120000
What is -6.488 rounded to zero dps?
-6
Round 470000 to the nearest one million.
0
Round -558.06 to the nearest 100.
-600
What is -26260 rounded to the nearest 1000?
-26000
Round -8301.5 to the nearest 100.
-8300
Round -947.5 to the nearest 100.
-900
Round 3337500 to the nearest one million.
3000000
Round 71260000 to the nearest one million.
71000000
Round 97693 to the nearest 10000.
100000
Round -0.0000874 to four dps.
-0.0001
What is -424.98 rounded to the nearest one hundred?
-400
Round -4.454 to 1 dp.
-4.5
What is 1603.2 rounded to the nearest 100?
1600
What is 813770 rounded to the nearest 10000?
810000
Round -0.188 to 0 decimal places.
0
Round -1937760 to the nearest 10000.
-1940000
What is 717.8 rounded to the nearest one hundred?
700
What is 7.7049 rounded to one decimal place?
7.7
Round 5278700 to the nearest one hundred thousand.
5300000
Round -649.76 to the nearest one hundred.
-600
Round 27775 to the nearest 100.
27800
Round 122820000 to the nearest 1000000.
123000000
Round 200.18 to the nearest 10.
200
Round -0.34264 to 3 dps.
-0.343
Round -41560000 to the nearest 1000000.
-42000000
What is 8970000 rounded to the nearest 100000?
9000000
Round -0.209 to the nearest integer.
0
Round -0.000092809 to 7 dps.
-0.0000928
Round 0.0000807 to 5 decimal places.
0.00008
Round -843.8 to the nearest ten.
-840
What is -668900 rounded to the nearest 10000?
-670000
Round 926.8 to the nearest 100.
900
What is -150300 rounded to the nearest 10000?
-150000
Round -80060000 to the nearest one million.
-80000000
What is -10.122 rounded to zero decimal places?
-10
What is 0.0048904 rounded to four decimal places?
0.0049
Round -0.179738 to three decimal places.
-0.18
Round 0.00000121553 to seven decimal places.
0.0000012
Round -0.25631 to 3 dps.
-0.256
Round 0.0068182 to 3 decimal places.
0.007
Round -22130 to the nearest one thousand.
-22000
What is -0.000009362 rounded to 7 dps?
-0.0000094
What is -0.04381 rounded to 2 decimal places?
-0.04
Round -6288.5 to the nearest 100.
-6300
Round -0.0000001082 to seven dps.
-0.0000001
Round -0.0000005606 to 7 decimal places.
-0.0000006
Round -28240000 to the nearest one million.
-28000000
Round 0.002395 to 3 decimal places.
0.002
Round -0.02591 to 3 decimal places.
-0.026
Round 0.0056694 to three decimal places.
0.006
What is -419.12 rounded to zero dps?
-419
Round -0.00004433 to six dps.
-0.000044
Round 8.839 to one decimal place.
8.8
What is -0.001676 rounded to 2 dps?
0
Round -4011600 to the nearest 1000000.
-4000000
Round -44.709 to 1 decimal place.
-44.7
What is -0.006779 rounded to 3 dps?
-0.007
What is 0.000053643 rounded to seven decimal places?
0.0000536
What is -0.078656 rounded to 4 decimal places?
-0.0787
Round -14.87 to 0 dps.
-15
What is -0.01211 rounded to four dps?
-0.0121
What is 95130000 rounded to the nearest 1000000?
95000000
What is 0.00055 rounded to four dps?
0.0006
What is 0.150179 rounded to two dps?
0.15
What is -0.03973 rounded to two decimal places?
-0.04
What is -0.031583 rounded to 2 decimal places?
-0.03
Round -739000 to the nearest 100000.
-700000
What is 0.05795 rounded to 2 decimal places?
0.06
Round -0.96895 to 1 dp.
-1
Round 1084.45 to zero decimal places.
1084
Round -117.8 to the nearest 10.
-120
Round | {
"pile_set_name": "DM Mathematics"
} |
x?
19, 1123
Let l = -1456 + 1492. Let y(u) = u + 2. Let a be y(-2). Suppose a = -c + 3*c - l. List the prime factors of c.
2, 3
Suppose 3*u + u = 4, -5*d - 26 = 4*u. List the prime factors of 562*(5 + 27/d).
281
Let t(r) = 1197*r - 1755. List the prime factors of t(29).
2, 3, 1831
Let o = 643 - -240. Suppose -37*z + v - 3538 = -41*z, v - o = -z. What are the prime factors of z?
3, 5, 59
Suppose 4*l = 5*f - 162, -5*f + 6*f = 5*l + 24. Suppose -f*a + 6848 = -18*a. List the prime factors of a.
2, 107
Let b be ((-3)/2)/((-6)/904). Suppose -u - b = h, h - 29 = -2*u - 255. What are the prime factors of -3 - 0 - (2 + h)/2?
109
Let h be -3*(7/(-3) - -1). Suppose 3*s - 23 = 2*f + 39, 52 = 2*s + h*f. List the prime factors of s.
2, 11
Let i(y) = -y**2 - 42*y - 170. Let w be i(-16). Let l be (-2)/(-9) - 48/(-27). Suppose l*x = -x + w. What are the prime factors of x?
2, 41
Let d = 10 + -13. Let y be -4 - 2*(-1 - -2). What are the prime factors of (-98)/4*d + (-9)/y?
3, 5
Suppose -10*c + 7 = h - 13*c, -h - 5*c + 31 = 0. Suppose -8036 = -h*n + 9*n. List the prime factors of n.
2, 7, 41
Let u(x) = -32*x + 114. Let b be u(10). Let s = b - -362. List the prime factors of s.
2, 3, 13
Let n(o) = 22*o**2 - 63*o + 721. List the prime factors of n(31).
2, 5, 11, 181
Suppose 11251 = 4*j + a, -4*j + 5*a = -6586 - 4695. List the prime factors of j.
2, 3, 7, 67
Let t(d) = -7*d + 30. Let q be 92/20 - 9/15. Let y be t(q). List the prime factors of (1/6*y)/(15/5445).
11
Let v(f) = 160*f + 6. Suppose -133*h + 135*h + 8 = 0. Let i(n) = 160*n + 6. Let q(k) = h*i(k) + 3*v(k). What are the prime factors of q(-1)?
2, 7, 11
Suppose 3*u + 231 = k - 311, k - 178 = u. What are the prime factors of u/21*10*(-9)/4?
3, 5, 13
Suppose -87*p + 2483796 + 1080806 = -949045. List the prime factors of p.
29, 1789
Suppose 723 - 2307 = -8*i. Let p be ((-7)/14)/((-3)/i). Let x = 38 - p. List the prime factors of x.
5
Let t(f) = 263*f**2 - 26*f + 140. What are the prime factors of t(7)?
5, 7, 367
Let n = 5604 + 579. List the prime factors of n.
3, 229
Suppose 17 + 43 = 12*k. Suppose 138 = -v + k*y, -3*v - 536 = 5*y - 122. Let p = v + 195. What are the prime factors of p?
3, 19
Let w be -4*((-1)/2)/1. Suppose w*t + 4*f = 28, 100 = t + 3*t - 3*f. What are the prime factors of t?
2, 11
Let h(s) = s**3 - 7*s**2 + 5*s + 1. Let o be h(1). Let b be 1/1 + (-932 - 1). What are the prime factors of (-16)/(-72) + o + b/(-18)?
2, 13
Let i be ((-135)/(-6) - -2) + (-1)/2. Suppose 0 = -33*f + 29*f - i. Let t(y) = 2*y**2 - 10*y - 57. List the prime factors of t(f).
3, 5
Suppose 30 = -b + 274. Let g be (-2)/6 - (-1272)/9. Let a = b - g. List the prime factors of a.
103
Let v(d) = -6*d - 110. Let s be v(-19). Suppose 0 = -s*h + 4*f + 732, -6*f + 5*f - 726 = -4*h. List the prime factors of h.
181
Let k be (-3)/(-2) - 33/(-2). Let m = -1398 - -1521. Let s = m + k. List the prime factors of s.
3, 47
Let v(j) = j**3 - j**2 - j + 1. Let m be v(-1). Suppose -2*x + 4 = -m*x. Suppose -x*l = -5*p - 105, 2*l + p = -2*p + 113. List the prime factors of l.
5, 11
Suppose -2*a - 86920 = -4*k + 6106, -2*k = 5*a - 46471. What are the prime factors of k?
3, 23, 337
Let l(m) = -4000*m - 10002. List the prime factors of l(-13).
2, 11, 23, 83
Suppose w - 2*n = 3*w - 870, 2*n - 1309 = -3*w. Let r = -95 + w. List the prime factors of r.
2, 43
Let c = -254 - -248. List the prime factors of (-3)/((-6)/20) + c + 3.
7
Let t(r) = -r**3 - 101*r**2 + 218*r + 183. What are the prime factors of t(-108)?
3, 19429
Let v(u) = 37*u - 297. Let j be v(12). Let l be (-4)/5*(-2325)/6. Let y = l - j. List the prime factors of y.
163
Let a(m) = m**3 - 10*m**2 - 8*m + 4. Let g be a(13). Let t = -287 + g. What are the prime factors of t?
2, 3, 5
Suppose 4*v - 135644 = v - 2*p, -90421 = -2*v - 3*p. What are the prime factors of v?
2, 23, 983
Let d(s) be the third derivative of -3*s**4/8 - 7*s**3/2 - 10*s**2. Let c be d(-3). List the prime factors of c*1/2 - 384/(-6).
67
Let h(j) = 205*j**2 - 34*j - 331. List the prime factors of h(-10).
20509
What are the prime factors of (5/(15/53708))/(16/12)?
29, 463
Let j(t) = 1114*t**2 + 1. Suppose -6*i - 28*i - 34 = 0. List the prime factors of j(i).
5, 223
Suppose 5*a = -5*q + 138855, -20680 = -3*a + 3*q + 62597. List the prime factors of a.
3, 5, 617
Suppose 0 = -71*n - 66*n + 3245941. What are the prime factors of n?
19, 29, 43
Suppose 2*y - 4*l - 64 = -6*l, -y + 35 = 2*l. Suppose -y*d + 20*d = -1944. List the prime factors of d.
2, 3
Let l(j) = j**3 - 9*j**2 + 21*j - 1. Let i be l(5). What are the prime factors of ((-8136)/18)/((-10)/i - -2)?
2, 113
Suppose 0 = -8*g + 5*g - 5*s - 43, 4*s + 50 = -5*g. Suppose -7*q + 216 = 17*q. List the prime factors of 132/q*g/(-1).
2, 11
Suppose -14*t + 54 = -11*t. Suppose -8*n = -t*n + 4230. List the prime factors of n.
3, 47
Let c(a) = 261*a - 207. What are the prime factors of c(16)?
3, 7
Suppose 5*a + 1273 = 2*n - 575, 5*a - 3696 = -4*n. List the prime factors of n.
2, 3, 7, 11
Suppose -16*o = -20*o + 120. Let b be (-3)/(9/(-12)) + o + -1. List the prime factors of b/(-2)*(-6)/(-12)*-8.
2, 3, 11
Let a(c) = 59*c**2 + 95*c + 50. What are the prime factors of a(22)?
2, 3, 1279
Suppose -5*c - 20502 = -14*c. Let x = -1352 + c. List the prime factors of x.
2, 463
Let v(h) = -h**3 - 2*h**2 - 9*h. Suppose -14 = -4*p + 10. Let m(k) = -3*k**2 + 18*k - 4. Let j be m(p). What are the prime factors of v(j)?
2, 17
Let d(y) = -41*y - 9. Let q(u) = 0 + 3 + 20*u + 2. Let f(s) = 4*d(s) + 9*q(s). What are the prime factors of f(4)?
73
Let t(k) = -k**2 + 4*k + 18. Let b be t(8). Let g(s) = -59*s. Let h be g(b). Let j = h - 588. List the prime factors of j.
2, 7, 17
Let w be -14 - (3/(-2))/((-8)/(-32)). List the prime factors of 874 + (-4)/w*0.
2, 19, 23
Suppose 5*j + 4*f = -20, 2*j - 5*f - 11 - 14 = 0. Suppose 9 - 86 = -n + 4*k, k = j. List the prime factors of 1 + (n - 0) - 12/(-12).
79
Let z be 6 + (-6 + -212)*-1. What are the prime factors of 3 + z + (-3)/(-3)?
2, 3, 19
Let u(b) = 48*b - 29. Let x be u(7). Let i = x - 231. What are the prime factors of i?
2, 19
Suppose -5*y + 35 = -580. Suppose -1810*w + 1825*w + 1155 = 0. Let i = y + w. List the prime factors of i.
2, 23
Let o(g) = -g**3 - 36*g**2 + 36*g - 44. Let x be o(-37). What are the prime factors of 1*(-9 + 3) - 7385/x?
1049
Let n(r) = 5*r - 72. Let f be n(15). What are the prime factors of (f - (-220)/10) + 1 + -1?
5
Let p(q) = 4*q**3 + 14 - 19*q - 211*q**2 - 3*q**3 + 219*q**2. What are the prime factors of p(-7)?
2, 7
List the prime factors of 17094/22*(-22)/(-6).
7, 11, 37
Suppose 2*t = -4*q + 14004 + 20298, -4*q + 3*t = -34317. What are the prime factors of q?
3, 953
Suppose 0 = -362*j + 4442907 - 940919. What are the prime factors of j?
2, 7, 691
Let h(o) = -2*o**2 - 17*o - 2. Let j be h(-8). Suppose 66*c = 64*c + j. What are the prime factors of 4 + (-9)/c - -52?
53
Let f = -3470 - -5374. Suppose -15*a + f = -11*a. What are the prime factors of a?
2, 7, 17
Suppose 32*z + 6268 = 42268. Let o = z + -401. What are the prime factors of o?
2, 181
Suppose 2*c - c - 178 = -4*a, -5*c - 100 = -2*a. Let l(d) = -18*d**3 + 45*d**3 + 2*d - 1 - 3*d**2 + 19*d**3 + a*d**3. What are the prime factors of l(1)?
89
Let c(j) = -2*j + 8. Let r be c(3). Suppose -5*d - 180 = 4*z, 3*d - 90 = r*z + d. What are the prime factors of -4 + 40/5 - z?
7
Suppose -30*b + 153295 = -290375. What are the prime factors of b?
23, 643
Let w(k) = k**2 + 2*k - 1. Let x be w(-3). Suppose -x*u - 2*u = -600. Let q = u - 48. What are the prime factors of q?
2, 3, 17
Let o = -16476 + 42466. List the prime factors of o.
2, 5, 23, 113
What are the prime factors of (-2666874)/(-235) + (-6)/15?
2, 2837
Let n(i) = 33*i - 161. Let b be n(5). Suppose -b*p + 2*r + 4406 = 0, -3*r + 4317 = 5*p - 1196. What are the prime factors of p?
2, 19, 29
Suppose -d = -5*d - 8. Suppose 1146*g - 1154*g + 64 = 0. What are the prime factors of 4/3 - (d - g/(-6))?
2
Suppose -4*z - 5*w = 61, -5 = z - w - 1. Let k(u) = 18*u + 22. Let y be k(z). Let c = 233 + y. List the prime factors of c.
3, 31
Let f(d) = d**2 - 23*d - 21. Let v be f(24). Suppose -4*q - 118 + 397 = t, -3*t + v*q + 912 = 0. Suppose 2*s - t + 33 = 0. What are the prime factors of s?
7, 19
Let n = 27301 + -12866. List the prime fa | {
"pile_set_name": "DM Mathematics"
} |
Calculate the remainder when 25314 is divided by 25314.
0
Calculate the remainder when 49167 is divided by 724.
659
Calculate the remainder when 9806 is divided by 880.
126
Calculate the remainder when 4221 is divided by 194.
147
What is the remainder when 59356 is divided by 212?
208
Calculate the remainder when 6012 is divided by 187.
28
What is the remainder when 11197 is divided by 1803?
379
What is the remainder when 1271 is divided by 33?
17
Calculate the remainder when 102268 is divided by 47.
43
What is the remainder when 3815 is divided by 49?
42
Calculate the remainder when 4259 is divided by 116.
83
Calculate the remainder when 176532 is divided by 38.
22
Calculate the remainder when 8198507 is divided by 43.
41
What is the remainder when 35199 is divided by 72?
63
What is the remainder when 67672 is divided by 24?
16
What is the remainder when 7358 is divided by 118?
42
Calculate the remainder when 17021 is divided by 128.
125
What is the remainder when 258323 is divided by 1254?
1253
What is the remainder when 71794 is divided by 374?
360
What is the remainder when 26166 is divided by 1249?
1186
Calculate the remainder when 51826 is divided by 6.
4
Calculate the remainder when 9043 is divided by 1797.
58
What is the remainder when 157514 is divided by 15?
14
What is the remainder when 402891 is divided by 11?
5
What is the remainder when 55462 is divided by 14?
8
What is the remainder when 64842 is divided by 1099?
1
Calculate the remainder when 44296 is divided by 923.
915
Calculate the remainder when 957 is divided by 93.
27
Calculate the remainder when 1573 is divided by 1540.
33
What is the remainder when 1260 is divided by 308?
28
What is the remainder when 27500 is divided by 9166?
2
What is the remainder when 12324 is divided by 127?
5
Calculate the remainder when 36062 is divided by 91.
26
What is the remainder when 8870 is divided by 19?
16
Calculate the remainder when 32335 is divided by 268.
175
What is the remainder when 7905 is divided by 3934?
37
What is the remainder when 19860 is divided by 144?
132
Calculate the remainder when 16042 is divided by 875.
292
Calculate the remainder when 75397 is divided by 68.
53
Calculate the remainder when 461133 is divided by 1122.
1113
What is the remainder when 22571 is divided by 34?
29
Calculate the remainder when 2864 is divided by 235.
44
What is the remainder when 9623 is divided by 4796?
31
What is the remainder when 849599 is divided by 82?
79
Calculate the remainder when 9189 is divided by 39.
24
Calculate the remainder when 714412 is divided by 77.
6
What is the remainder when 2906 is divided by 67?
25
What is the remainder when 307900 is divided by 307900?
0
Calculate the remainder when 78534 is divided by 136.
62
What is the remainder when 2735 is divided by 90?
35
What is the remainder when 68618 is divided by 17148?
26
What is the remainder when 3912 is divided by 65?
12
Calculate the remainder when 368095 is divided by 87.
85
Calculate the remainder when 113466 is divided by 668.
574
What is the remainder when 1303 is divided by 1162?
141
Calculate the remainder when 1702 is divided by 148.
74
What is the remainder when 125516 is divided by 120?
116
Calculate the remainder when 80974 is divided by 4.
2
Calculate the remainder when 95406 is divided by 2384.
46
What is the remainder when 5614 is divided by 30?
4
Calculate the remainder when 1272957 is divided by 1224.
1221
Calculate the remainder when 139341 is divided by 503.
10
Calculate the remainder when 9169 is divided by 4573.
23
What is the remainder when 6134622 is divided by 475?
472
Calculate the remainder when 773 is divided by 90.
53
What is the remainder when 41962 is divided by 26?
24
What is the remainder when 101042 is divided by 309?
308
What is the remainder when 48489 is divided by 289?
226
Calculate the remainder when 31184 is divided by 11.
10
Calculate the remainder when 2965 is divided by 162.
49
What is the remainder when 899 is divided by 27?
8
What is the remainder when 6451 is divided by 2145?
16
What is the remainder when 3324 is divided by 1590?
144
Calculate the remainder when 380188 is divided by 190.
188
Calculate the remainder when 2144 is divided by 2131.
13
What is the remainder when 1022 is divided by 352?
318
What is the remainder when 9050 is divided by 1969?
1174
What is the remainder when 293090 is divided by 47?
45
Calculate the remainder when 1034904 is divided by 644.
640
Calculate the remainder when 372122 is divided by 65.
62
What is the remainder when 57130 is divided by 60?
10
Calculate the remainder when 67119 is divided by 2314.
13
Calculate the remainder when 96202 is divided by 1013.
980
Calculate the remainder when 29832 is divided by 489.
3
Calculate the remainder when 3152 is divided by 711.
308
What is the remainder when 909485 is divided by 1030?
1025
Calculate the remainder when 8289 is divided by 2700.
189
Calculate the remainder when 93249 is divided by 46615.
19
What is the remainder when 5342 is divided by 243?
239
What is the remainder when 37513 is divided by 18735?
43
What is the remainder when 22963 is divided by 294?
31
Calculate the remainder when 118782 is divided by 1381.
16
Calculate the remainder when 17044 is divided by 1113.
349
Calculate the remainder when 129340 is divided by 86.
82
Calculate the remainder when 7121 is divided by 397.
372
Calculate the remainder when 5369 is divided by 2590.
189
Calculate the remainder when 854 is divided by 90.
44
Calculate the remainder when 935808 is divided by 119.
111
What is the remainder when 98345 is divided by 1069?
1066
What is the remainder when 5191 is divided by 985?
266
What is the remainder when 44505 is divided by 34?
33
Calculate the remainder when 2083 is divided by 204.
43
What is the remainder when 5798 is divided by 1912?
62
What is the remainder when 192991 is divided by 32?
31
Calculate the remainder when 24909 is divided by 27.
15
Calculate the remainder when 258019 is divided by 133.
132
Calculate the remainder when 1497 is divided by 36.
21
What is the remainder when 1241 is divided by 114?
101
Calculate the remainder when 430614 is divided by 38.
36
Calculate the remainder when 39327 is divided by 277.
270
What is the remainder when 64929 is divided by 1352?
33
Calculate the remainder when 67196 is divided by 52.
12
Calculate the remainder when 14735 is divided by 48.
47
Calculate the remainder when 6947 is divided by 153.
62
What is the remainder when 34777 is divided by 285?
7
What is the remainder when 37466 is divided by 2341?
10
What is the remainder when 10496 is divided by 1019?
306
What is the remainder when 6170 is divided by 335?
140
Calculate the remainder when 735 is divided by 535.
200
What is the remainder when 3775 is divided by 900?
175
Calculate the remainder when 177598 is divided by 337.
336
What is the remainder when 27437 is divided by 765?
662
What is the remainder when 38747 is divided by 1249?
28
What is the remainder when 466452 is divided by 258?
246
What is the remainder when 200752 is divided by 9?
7
Calculate the remainder when 1136 is divided by 892.
244
Calculate the remainder when 2550 is divided by 27.
12
Calculate the remainder when 3234 is divided by 1061.
51
Calculate the remainder when 5565 is divided by 1320.
285
What is the remainder when 3203 is divided by 81?
44
Calculate the remainder when 5048 is divided by 722.
716
Calculate the remainder when 177829 is divided by 187.
179
Calculate the remainder when 2320 is divided by 589.
553
What is the remainder when 2452 is divided by 224?
212
What is the remainder when 7918 is divided by 168?
22
What is the remainder when 8000 is divided by 7900?
100
What is the remainder when 12682 is divided by 103?
13
What is the remainder when 23634 is divided by 223?
219
Calculate the remainder when 80841 is divided by 37.
33
Calculate the remainder when 71890 is divided by 107.
93
Calculate the remainder when 13187 is divided by 99.
20
What is the remainder when 458 is divided by 397?
61
What is the remainder when 550 is divided by 44?
22
Calculate the remainder when 531967 is divided by 465.
7
What is the remainder when 31069 is divided by 32?
29
What is the remainder when 46384 is divided by 198?
52
What | {
"pile_set_name": "DM Mathematics"
} |
5 + -2. Let n(z) = -y*z**2 + 0*z**2 + 5*z**2. Let f(q) be the second derivative of -2*q**3/3 - 5*q. Calculate n(f(h)).
32*h**2
Suppose 2*b = 2*o - 2, b = 2*o + o - 3. Let q(l) = o - 14*l - 1 + 16*l. Let x(n) = -10*n. Determine q(x(a)).
-20*a
Let o(r) = 32*r. Let h(z) = z - 152. What is o(h(y))?
32*y - 4864
Suppose 3*h + 2*h = 10. Let w(g) = -h*g + 6*g - 2*g. Let x(p) = -2*p**2 + 3*p**2 + 2*p**2. Calculate w(x(d)).
6*d**2
Let m(r) = -3*r. Let k(v) = 26*v - 53. Determine m(k(x)).
-78*x + 159
Let p(s) = -3*s**2 + 2. Let b(d) = 15*d**2 - 11. Let q(t) = -2*b(t) - 11*p(t). Let h(j) = -10*j**2. Give h(q(u)).
-90*u**4
Let z(u) = 7*u - 27*u + 8*u. Let q(x) = 2*x**2. Give q(z(s)).
288*s**2
Let b(f) be the first derivative of -f**3 + 1. Let t(k) = 4*k. Determine t(b(a)).
-12*a**2
Let u(f) = f + 1. Suppose 3*q = -11 - 7. Let y(z) = 7*z + 6. Let r(v) = q*u(v) + y(v). Let g(a) = -3*a**2. Determine r(g(b)).
-3*b**2
Let f(m) = m**2. Let q(p) = -403*p**2. What is q(f(u))?
-403*u**4
Let g(c) = -5*c. Suppose 4*a + 2 = 10. Let n(x) = -x + 9 + a*x - 9. Give n(g(y)).
-5*y
Let j(s) = 7*s. Let h(q) = 2*q. Determine h(j(v)).
14*v
Let j(w) = 2*w. Let r(o) be the third derivative of 0 + 0*o**4 - 4*o**2 + 1/10*o**5 + 0*o + 0*o**3. Calculate r(j(f)).
24*f**2
Let y(s) = s. Let u(x) be the second derivative of -x**3 - 11*x. Give y(u(j)).
-6*j
Let y(v) = -v**2 + v - 1. Let k(w) = -2*w - 4*w**2 - 2 + 4 + 5*w**2. Let x(o) = -k(o) - 2*y(o). Let s(a) = 3*a. Give x(s(b)).
9*b**2
Let w(m) = -2*m**2. Let u(s) = -3913*s. Calculate u(w(o)).
7826*o**2
Let f(m) = 2*m. Let k(u) = 7*u + 3. Let y(i) = -160*i - 68. Let z(t) = -136*k(t) - 6*y(t). Calculate f(z(c)).
16*c
Let o be 3 - (-2)/2 - -1. Let p(g) = -5*g**2 + 3*g**2 + o*g**2. Let t(s) = -3*s**2. What is t(p(b))?
-27*b**4
Let i(w) be the first derivative of -11*w**2/2 - 3. Let p(l) = -2*l**2. What is i(p(a))?
22*a**2
Let p(c) = c. Let s(h) = -1222*h**2 - 2*h. What is p(s(w))?
-1222*w**2 - 2*w
Suppose 7*j - 3*j = 0. Let t(i) = -i**2 + 2*i + 2. Let q be t(2). Let h(w) = j*w**2 + w**2 + w**2 - w**q. Let c(u) = -u. Calculate h(c(l)).
l**2
Let d(j) = j + 1. Let r(c) = -18*c - 15. Let w(m) = 15*d(m) + r(m). Let f(v) = v. What is w(f(i))?
-3*i
Let p(o) = o**2. Let k(i) be the third derivative of -i**5/15 + 11*i**2. Determine p(k(b)).
16*b**4
Let f(g) = -g**2. Suppose -2*n + 24 = 2*o, 24 = 2*n - 0*n + 3*o. Let s(a) = n*a**2 - 7*a**2 - 4*a**2. What is s(f(h))?
h**4
Suppose 0*h + h = 6*h. Let y(x) be the third derivative of 0*x + h + 0*x**4 + 2*x**2 - 1/15*x**5 + 0*x**3. Let d(p) = p**2. Give y(d(z)).
-4*z**4
Let r(q) = -27*q. Let y(o) = 8*o**2. What is y(r(d))?
5832*d**2
Let f(r) be the second derivative of -5*r**3/3 + 6*r + 6. Let w(q) = -4*q**2. What is w(f(u))?
-400*u**2
Let v = 8 - 5. Let s(y) = 3*y + y - 5*y + v*y. Let z(x) be the first derivative of x**2/2 + 2. Give s(z(t)).
2*t
Let i(j) = 4*j + 3*j**2 - 2*j**2 - 4*j. Let v(u) = -2*u**2. What is i(v(s))?
4*s**4
Let g(h) = 22*h + 23*h - 33*h. Let n(m) = -m. Determine n(g(u)).
-12*u
Let y(p) = -81*p. Let f(j) = 5*j**2. Give f(y(u)).
32805*u**2
Let v(d) be the first derivative of d**3 + 9. Let t(z) = 2*z**2. Calculate t(v(g)).
18*g**4
Let i(s) = 2*s**2. Let z(f) be the third derivative of -7/60*f**5 - 6*f**2 + 0*f + 0 + 0*f**4 + 0*f**3. Give i(z(b)).
98*b**4
Let z(c) = 45*c**2. Let y(w) = -w**2 - w. Let m(n) = 10*n**2 + 9*n. Let t(i) = -2*m(i) - 18*y(i). What is z(t(a))?
180*a**4
Let l(g) = 2*g. Let c(n) = 63*n + 27. Let v(y) = 9*y + 4. Let o(t) = 4*c(t) - 27*v(t). What is o(l(x))?
18*x
Let b(f) = -f. Let x(r) = -1143*r. Give b(x(y)).
1143*y
Let v(h) = -2*h. Let p(j) = -16*j. Suppose 2*t + 5*a - 26 = 0, 5*t + 3*a - 14 = 32. Let q(u) = 24*u. Let r(n) = t*p(n) + 5*q(n). Calculate v(r(w)).
16*w
Suppose 0*j - 5*j = -10. Let i(x) = -x**2 - x**j + 4*x**2 - x**2. Let n(d) = d**2. Give i(n(q)).
q**4
Let n(t) = -2*t - 5. Let s(r) = -2*r - 6. Let o(b) = 6*n(b) - 5*s(b). Let q(k) = -2*k. Give o(q(d)).
4*d
Let q(g) = -g. Let z = 758 - 508. Suppose u = -4*u + z. Let p(n) = -u - 3*n**2 + 50. What is q(p(v))?
3*v**2
Let f(n) = -10*n**2 + 2*n. Let t(o) = -3*o**2. Determine t(f(c)).
-300*c**4 + 120*c**3 - 12*c**2
Let n(l) = 2*l**2 + 3*l**2 - 2*l**2 - 4*l**2. Let m(w) = 11*w**2. Calculate m(n(k)).
11*k**4
Let z(n) = -n - 4. Let a be z(5). Let u = a + 15. Let b(q) = -6 + u + 3*q. Let c(o) = -3*o. Give b(c(r)).
-9*r
Let k(u) = 2*u. Let s(p) = 7*p**2 + 1. Calculate k(s(n)).
14*n**2 + 2
Let x(u) be the first derivative of 5*u**2/2 + 12. Let f(m) = 5*m**2. Determine x(f(o)).
25*o**2
Let b(t) = 3*t**2. Let i(s) = 99*s - 1. What is b(i(n))?
29403*n**2 - 594*n + 3
Let n(l) = 10*l + 2. Let g(i) = i**2. Calculate n(g(w)).
10*w**2 + 2
Let b(g) = -2*g. Let u(s) = -73*s + 134*s - 68*s. Give u(b(f)).
14*f
Let a(x) = x. Let z(y) = -2*y + 44. Give a(z(k)).
-2*k + 44
Let m(f) be the third derivative of -f**4/24 - 32*f**2. Let o(i) = 5*i. What is o(m(r))?
-5*r
Let v(x) = 9*x. Let g(d) be the first derivative of -d**2/2 - 14. Give g(v(u)).
-9*u
Let n = 11 - 8. Let q(w) = -n*w + 9*w - 3*w. Let g(m) = 2*m. Calculate g(q(b)).
6*b
Let c(j) be the third derivative of 1/30*j**5 + 0 - 2*j**2 + 0*j**3 + 0*j**4 + 0*j. Let l(z) = z**2. Give c(l(f)).
2*f**4
Let a(b) = 15*b**2. Let o(c) = 6*c + 4. Let g(m) = -7*m - 5. Let r(z) = 4*g(z) + 5*o(z). What is r(a(p))?
30*p**2
Let r(n) = -n**2 + 9*n. Let y(j) = -5*j. Give y(r(p)).
5*p**2 - 45*p
Let p(j) = 10*j - 7. Let a(z) = -3*z + 2. Let g(x) = -14*a(x) - 4*p(x). Let v(s) = 4*s**2. What is v(g(y))?
16*y**2
Let v(x) = x. Let a be 8/(-40) + (-16)/(-5). Let j(k) = -3*k - k + a*k. Determine v(j(r)).
-r
Let c(q) = -16*q. Let z(f) = 173*f**2. Give c(z(w)).
-2768*w**2
Let m(c) = 2*c**2. Let y(t) = -t**2 - 10*t. Determine m(y(s)).
2*s**4 + 40*s**3 + 200*s**2
Suppose c = -c. Let p(s) = c - s - s + 0. Let a(l) = -2*l. Give p(a(j)).
4*j
Let f(u) = -u**3 + 5*u**2 - u + 7. Let j be f(5). Suppose -t = -j - 0. Let v(a) = -2*a + 6*a - t*a. Let r(b) = 2*b. Give r(v(l)).
4*l
Let l(t) = -6*t - 8. Let p(b) be the third derivative of 0 + 1/6*b**4 - 3*b**2 + 0*b + 5/6*b**3. Let c(h) = 5*l(h) + 8*p(h). Let w(o) = -o**2. Give c(w(x)).
-2*x**2
Let z(h) = -2*h**2. Let d(j) = -j + 12. Calculate d(z(c)).
2*c**2 + 12
Let r(y) = -2*y**2. Let q(g) = 218*g**2. Determine q(r(i)).
872*i**4
Let f(g) be the first derivative of 11*g**3/3 + 27. Let u(d) = 2*d. Determine u(f(s)).
22*s**2
Let j(r) = 3*r + 7. Let n(o) = -3*o - 6. Let s(f) = 6*j(f) + 7*n(f). Let c(y) be the third derivative of y**4/12 + y**2. Give c(s(g)).
-6*g
Let p = -2 - -3. Let t(y) = -2*y - 5 + y + 5. Let w(f) = 2*f**2 + f. Let c(j) = p*w(j) + t(j). Let z(i) = -2*i**2. What is c(z(r))?
8*r**4
Let b(v) = 2*v**2 - 2*v + 2*v. Let d(x) be the third derivative of 1/60*x**5 + 0 + x**2 + 0*x**4 + 0*x + 0*x**3. Give d(b(y)).
4*y**4
Let i(b) = -2*b. Let c(m) = 9*m - 17*m + 9*m. Calculate i(c(n)).
-2*n
Let d(n) = 2*n**2 + 643 - 643. Let u(m) = m**2. Calculate d(u(g)).
2*g**4
Let g(r) = 15*r**2. Let q(t) = 406*t**2. Calculate q(g(f)).
91350*f**4
Let b(q) = 6*q**2. Let p(z) be the third derivative of z**4/24 + 20*z**2. Calculate b(p(m)).
6*m**2
Let w(c) = 2*c**2. Let v = -8 + 6. Let i be 1/(v - (-10)/4). Let r(d) = 0*d**2 + 0*d**i + d**2. What is w(r(s))?
2*s**4
Let q(z) = -3*z**2 - 4. Let d(r) = -2*r**2 - 3. Let o(g) = -4*d(g) + 3*q(g). Let n(i) = 7*i - 16*i + 9*i - i**2. Determine n(o(p)).
-p**4
Let r(q) = 203*q - 2. Let t(h) = -3*h**2. What is r(t(a))?
-609*a**2 - 2
Let n(j) = -j + 43. Let g(s) = -7*s + 2. Determine n(g(p)).
7*p + 41
Let h(j) = -2*j + 7*j - 3*j. Let q(c) be the first derivative of -2*c**3/3 - 3. Give h(q(u)).
-4*u**2
Let p(y) = 3*y**2. Let z(i) = -585*i**2. What is z(p(r))?
-5265*r**4
Let o = 11 - 2. Let j(a) = -4*a**2 - 7*a**2 + o*a**2. Let w(g) = 5*g. Determine w(j(t)).
-10*t**2
Let m(r) = 16*r - 31*r + 16*r. Let a(h) = -50*h**2. Determine m(a(q)).
-50*q**2
Let s(b) = -3*b**2 + 2*b. Let x(w) = -35*w**2 + 25*w. Let n(v) = 25*s(v) - 2*x(v). Let t(j) = -2*j**2. Give t(n(c)).
-50*c**4
Let i(n) = -2*n. Let b(m) be the second derivative of -m**5/30 - 5*m**2 + m. Let d(h) be the first derivative of b(h). Calculate d(i(q)).
-8*q**2
Let o(x) = 57*x. Let b(f) = 7*f. Determine b(o(w)).
399*w
Let f(w) = 19*w + 26*w + 17*w - 46*w. Let t(l) = -2*l. Determine f(t | {
"pile_set_name": "DM Mathematics"
} |
23822 is divided by 2165?
7
Calculate the remainder when 76827 is divided by 605.
597
Calculate the remainder when 4051 is divided by 403.
21
What is the remainder when 1118 is divided by 38?
16
What is the remainder when 464263 is divided by 22?
19
What is the remainder when 452 is divided by 27?
20
Calculate the remainder when 226371 is divided by 45274.
1
Calculate the remainder when 381 is divided by 20.
1
What is the remainder when 161565 is divided by 748?
745
What is the remainder when 11689 is divided by 1788?
961
Calculate the remainder when 39981 is divided by 357.
354
Calculate the remainder when 553 is divided by 14.
7
Calculate the remainder when 53746 is divided by 111.
22
What is the remainder when 15948 is divided by 2276?
16
Calculate the remainder when 2764463 is divided by 645.
638
What is the remainder when 21321 is divided by 2131?
11
What is the remainder when 1726 is divided by 279?
52
What is the remainder when 25127 is divided by 2511?
17
What is the remainder when 5501 is divided by 166?
23
Calculate the remainder when 24699 is divided by 1452.
15
Calculate the remainder when 555448 is divided by 210.
208
What is the remainder when 92846 is divided by 55?
6
What is the remainder when 2972 is divided by 97?
62
What is the remainder when 1688 is divided by 473?
269
Calculate the remainder when 38738 is divided by 28.
14
What is the remainder when 6329 is divided by 183?
107
What is the remainder when 91977 is divided by 8?
1
What is the remainder when 10085 is divided by 478?
47
Calculate the remainder when 5229 is divided by 2614.
1
What is the remainder when 2602 is divided by 861?
19
What is the remainder when 55163 is divided by 30?
23
What is the remainder when 372 is divided by 46?
4
Calculate the remainder when 3573 is divided by 487.
164
What is the remainder when 1605502 is divided by 148?
146
Calculate the remainder when 28016 is divided by 171.
143
What is the remainder when 368796 is divided by 126?
120
What is the remainder when 30244 is divided by 115?
114
What is the remainder when 6778 is divided by 211?
26
What is the remainder when 682311 is divided by 58?
57
Calculate the remainder when 20774 is divided by 38.
26
What is the remainder when 129422 is divided by 43120?
62
Calculate the remainder when 23586 is divided by 23583.
3
Calculate the remainder when 313948 is divided by 75.
73
What is the remainder when 173911 is divided by 28983?
13
What is the remainder when 971 is divided by 344?
283
Calculate the remainder when 209790 is divided by 16.
14
Calculate the remainder when 405548 is divided by 357.
353
Calculate the remainder when 573154 is divided by 348.
346
What is the remainder when 96945 is divided by 48460?
25
Calculate the remainder when 221584 is divided by 455.
454
Calculate the remainder when 30471 is divided by 194.
13
What is the remainder when 102611 is divided by 25634?
75
What is the remainder when 12410 is divided by 2480?
10
Calculate the remainder when 34931 is divided by 2328.
11
Calculate the remainder when 147229 is divided by 49068.
25
Calculate the remainder when 3229686 is divided by 308.
306
What is the remainder when 11157 is divided by 30?
27
What is the remainder when 130386 is divided by 17?
13
Calculate the remainder when 8814 is divided by 2151.
210
Calculate the remainder when 625183 is divided by 135.
133
What is the remainder when 694 is divided by 61?
23
What is the remainder when 11657 is divided by 375?
32
What is the remainder when 3665 is divided by 9?
2
What is the remainder when 70395 is divided by 64?
59
What is the remainder when 27749 is divided by 375?
374
Calculate the remainder when 33085 is divided by 119.
3
What is the remainder when 2243 is divided by 94?
81
What is the remainder when 453559 is divided by 58?
57
Calculate the remainder when 124516 is divided by 316.
12
What is the remainder when 10208 is divided by 173?
1
What is the remainder when 2772 is divided by 121?
110
What is the remainder when 5012 is divided by 422?
370
What is the remainder when 6847 is divided by 95?
7
What is the remainder when 4439 is divided by 7?
1
What is the remainder when 110383 is divided by 386?
373
What is the remainder when 5111 is divided by 465?
461
Calculate the remainder when 2752 is divided by 79.
66
Calculate the remainder when 851303 is divided by 158.
157
Calculate the remainder when 15259 is divided by 1364.
255
Calculate the remainder when 12723 is divided by 28.
11
Calculate the remainder when 5332 is divided by 20.
12
What is the remainder when 492 is divided by 433?
59
What is the remainder when 24748 is divided by 603?
25
Calculate the remainder when 2528 is divided by 470.
178
Calculate the remainder when 169100 is divided by 114.
38
Calculate the remainder when 66127 is divided by 219.
208
Calculate the remainder when 124246 is divided by 702.
694
What is the remainder when 13740 is divided by 8?
4
Calculate the remainder when 64525 is divided by 296.
293
Calculate the remainder when 6318 is divided by 172.
126
What is the remainder when 439660 is divided by 8?
4
What is the remainder when 2772 is divided by 75?
72
What is the remainder when 8474 is divided by 2793?
95
Calculate the remainder when 4556 is divided by 2256.
44
Calculate the remainder when 72167 is divided by 582.
581
What is the remainder when 12757 is divided by 3186?
13
Calculate the remainder when 48555 is divided by 24148.
259
What is the remainder when 96229 is divided by 12020?
69
What is the remainder when 28726 is divided by 10?
6
Calculate the remainder when 54 is divided by 47.
7
Calculate the remainder when 654 is divided by 43.
9
Calculate the remainder when 8515 is divided by 341.
331
Calculate the remainder when 4024 is divided by 62.
56
What is the remainder when 720 is divided by 85?
40
Calculate the remainder when 182813 is divided by 93.
68
Calculate the remainder when 9114 is divided by 4440.
234
Calculate the remainder when 9849 is divided by 56.
49
What is the remainder when 209463 is divided by 258?
225
What is the remainder when 172793 is divided by 186?
185
Calculate the remainder when 26219 is divided by 23.
22
What is the remainder when 120681 is divided by 419?
9
What is the remainder when 1162 is divided by 109?
72
Calculate the remainder when 357355 is divided by 215.
25
Calculate the remainder when 1802 is divided by 311.
247
What is the remainder when 9609 is divided by 464?
329
Calculate the remainder when 1309557 is divided by 210.
207
What is the remainder when 384 is divided by 360?
24
What is the remainder when 5837 is divided by 48?
29
What is the remainder when 9812 is divided by 617?
557
What is the remainder when 8051 is divided by 6267?
1784
Calculate the remainder when 116971 is divided by 6.
1
Calculate the remainder when 4033 is divided by 575.
8
What is the remainder when 13020 is divided by 148?
144
What is the remainder when 17644 is divided by 34?
32
Calculate the remainder when 11660 is divided by 307.
301
Calculate the remainder when 8486 is divided by 1060.
6
Calculate the remainder when 61766 is divided by 142.
138
What is the remainder when 460 is divided by 149?
13
What is the remainder when 2051 is divided by 271?
154
Calculate the remainder when 358679 is divided by 228.
35
Calculate the remainder when 156207 is divided by 275.
7
What is the remainder when 70285 is divided by 221?
7
What is the remainder when 1999436 is divided by 238?
236
What is the remainder when 2203 is divided by 2167?
36
Calculate the remainder when 136207 is divided by 31.
24
Calculate the remainder when 94 is divided by 89.
5
What is the remainder when 4369 is divided by 210?
169
Calculate the remainder when 3435 is divided by 48.
27
What is the remainder when 54585 is divided by 14?
13
Calculate the remainder when 174302 is divided by 2100.
2
Calculate the remainder when 29328 is divided by 341.
2
Calculate the remainder when 190773 is divided by 23841.
45
Calculate the remainder when 11168 is divided by 414.
404
What is the remainder when 2240 is divided by 1852?
388
Calculate the remainder when 11387 is divided by 550.
387
What is the remainder when 168854 is divided by 168826?
28
What is the remainder when 2424 is divided by 2387?
37
What i | {
"pile_set_name": "DM Mathematics"
} |
x(c) be the first derivative of b(c). Factor x(f).
f**2*(f - 1)*(f + 1)
Let v(b) = -b**3 + 36*b**2 - 72*b + 53. Let o(j) = -18*j**2 - 9*j + 16*j - 27 + 29*j. Let m(x) = 5*o(x) + 3*v(x). Suppose m(g) = 0. Calculate g.
2
Let x be (-2 - (-61)/12) + -3. Let t(q) be the second derivative of -1/48*q**4 + q - 1/8*q**2 + 0 - x*q**3. Factor t(m).
-(m + 1)**2/4
Let h(p) be the third derivative of -p**8/336 - p**7/210 + p**6/120 + p**5/60 + 29*p**2. Suppose h(y) = 0. What is y?
-1, 0, 1
Let y be 143/26*(-2)/3. Let g = y - -13/3. Factor 0*j - g*j**2 + 0 + 4/3*j**3.
2*j**2*(2*j - 1)/3
Solve -2*o**2 + 3 + 0*o**2 + 3*o + o**2 - o = 0.
-1, 3
Let m be (-27)/(-54) + 1 + 10/4. Let j(w) be the second derivative of 3*w + 0*w**2 + 0 + 1/6*w**m + 0*w**3. Let j(a) = 0. Calculate a.
0
Let h(u) be the second derivative of -u**8/1680 + u**7/840 + u**3/6 + u. Let n(d) be the second derivative of h(d). Let n(a) = 0. Calculate a.
0, 1
Let u be ((-1)/(-2))/(6/(-36)). Let a = u - -5. Find x, given that -2*x**5 + 0*x**4 + 6*x - 4*x**2 - 4*x**3 + 6*x**4 + 0*x**4 - a = 0.
-1, 1
Let t = -1317 - -4027/3. Solve t*m + 8/3 + 361/3*m**3 + 254/3*m**2 + 224/3*m**4 + 49/3*m**5 = 0.
-2, -1, -2/7
Let z(n) be the first derivative of 0*n + 1/3*n**2 - 1/6*n**4 + 1/9*n**3 - 1/15*n**5 - 3. Factor z(g).
-g*(g - 1)*(g + 1)*(g + 2)/3
Suppose 5*i + 0 + 5 = 0. Let q be -3 - 40/(-12) - i. Factor 0*j**2 - q*j**3 + 0*j - 2*j**4 + 0.
-2*j**3*(3*j + 2)/3
Let h be (-6 - 63/(-33))/(6/(-4)). Find k such that -18/11*k**4 + h*k**3 + 2/11*k - 14/11*k**2 + 0 = 0.
0, 1/3, 1
Factor -1/6*g**2 + 0 + 1/6*g.
-g*(g - 1)/6
Let x be (-1)/(((-15)/12)/5*14). Factor -x + 4/7*a - 2/7*a**2.
-2*(a - 1)**2/7
Let d(u) be the third derivative of -u**5/12 - 5*u**4/8 + 64*u**2. Factor d(v).
-5*v*(v + 3)
Let j(z) be the first derivative of 1/12*z**4 - 1/3*z - 1/3*z**3 + 2 + 1/2*z**2. Let j(r) = 0. What is r?
1
Let l(f) be the second derivative of 5/2*f**5 + 8*f - 12*f**2 - 56/3*f**3 - 55/6*f**4 + 0. Factor l(i).
2*(i - 3)*(5*i + 2)**2
Let q be ((-28)/210)/(6/(-10)). Find f, given that -2/3*f**3 + 0 - q*f + 2/3*f**2 + 2/9*f**4 = 0.
0, 1
Let k = -1/53 + 55/106. Let y(u) be the first derivative of 1/10*u**5 - 1 - k*u**2 + 1/4*u**4 + 0*u**3 - 1/2*u. Let y(a) = 0. Calculate a.
-1, 1
Let m(f) = f - 1. Let g(j) = j**2 - 4*j + 3. Let t(y) = 3*g(y) + 6*m(y). Factor t(h).
3*(h - 1)**2
Let p(g) = g**2. Let o be p(2). Let m(r) be the second derivative of 0*r**2 + 2*r - 1/75*r**6 + 0*r**5 + 0 + 1/30*r**o + 0*r**3. Factor m(a).
-2*a**2*(a - 1)*(a + 1)/5
Let l(n) be the first derivative of n**9/4536 - n**8/1260 + n**6/270 - n**5/180 - n**3 - 3. Let k(g) be the third derivative of l(g). Factor k(q).
2*q*(q - 1)**3*(q + 1)/3
Let g(x) = -11*x**2 + 6*x - 8. Let s(r) = 12*r**2 - 7*r + 6. Let u(q) = 3*g(q) + 4*s(q). Factor u(l).
5*l*(3*l - 2)
Let s(r) = 8*r**2 - 8*r - 7. Let g(l) = l**2 - l - 1. Let t(w) = 28*g(w) - 4*s(w). What is d in t(d) = 0?
0, 1
Let x(s) be the first derivative of -s**5/25 + s**4/10 - s**3/15 - 7. Suppose x(i) = 0. What is i?
0, 1
Factor 2/7*z + 2/7 - 2/7*z**2 - 2/7*z**3.
-2*(z - 1)*(z + 1)**2/7
Let b = 24545/53361 - -2/5929. Let c = b - 1/63. Solve -c + 2/3*p - 2/9*p**2 = 0 for p.
1, 2
Let x(k) be the first derivative of -k**4/18 - k**3/9 + 8*k - 8. Let t(g) be the first derivative of x(g). Suppose t(r) = 0. What is r?
-1, 0
Let i be (-40)/16*2/(-1). Factor 2*h**4 - 9*h**2 - 4*h**3 + 2*h**4 + 4*h**i + 5*h**2.
4*h**2*(h - 1)*(h + 1)**2
Let g = 2 + -1. Let h = -4 + 6. Determine x so that -2 + h*x - g + 2*x**2 - 1 = 0.
-2, 1
Let k be (-62)/(-14) + 6/(-14). Let r = k + -5/2. Determine v so that 5/2*v**2 - v**5 - 3/2*v**4 + 5/2*v**3 - 1 - r*v = 0.
-2, -1, -1/2, 1
Let k(g) be the third derivative of 1/24*g**3 + 1/80*g**5 - 1/480*g**6 + 0*g + g**2 - 1/32*g**4 + 0. Solve k(v) = 0.
1
Let a(g) be the second derivative of -g**5/120 + g**4/48 - g**2 + 4*g. Let z(h) be the first derivative of a(h). Determine y, given that z(y) = 0.
0, 1
Factor 4/3*z**2 + 2/9 - 8/9*z**3 - 8/9*z + 2/9*z**4.
2*(z - 1)**4/9
Let f(b) be the first derivative of -4*b**5/5 - 4*b**4/3 - 4*b**3/9 + 2. What is w in f(w) = 0?
-1, -1/3, 0
Let a(m) be the first derivative of -m**5/5 - m**4/4 + 2*m**3/3 - 17. Factor a(y).
-y**2*(y - 1)*(y + 2)
Let z(y) = 3*y**2 + 2 - 4*y**2 + 2*y + 0*y**2 + 4*y. Let d be z(6). Factor 4/3*p**d - p - 1/3.
(p - 1)*(4*p + 1)/3
Let l(k) be the second derivative of -k**6/1440 - k**5/480 + k**4/48 - 2*k**3/3 + 3*k. Let b(a) be the second derivative of l(a). Suppose b(v) = 0. What is v?
-2, 1
Let r = 31 - 31. Suppose r + 4/3*i + 2/3*i**2 = 0. Calculate i.
-2, 0
Determine c, given that -60*c + 45*c**5 + 118*c**2 + 4 + 4*c**5 + 4 - 126*c**4 + 11*c**3 = 0.
-1, 2/7, 1, 2
Let b(p) be the second derivative of -p**2 + 0 + 1/150*p**5 - p + 1/15*p**3 - 1/30*p**4. Let a(r) be the first derivative of b(r). Find m such that a(m) = 0.
1
Factor 1/4*a + 1/4*a**3 + 0 - 1/2*a**2.
a*(a - 1)**2/4
Solve 2/11*u**4 - 2/11*u + 2/11*u**3 - 2/11*u**2 + 0 = 0 for u.
-1, 0, 1
Let c(q) be the first derivative of 1/4*q**2 - 5 + 1/12*q**3 - 3/4*q. Factor c(w).
(w - 1)*(w + 3)/4
Factor 2/9 - 2/3*k**4 - 2/3*k + 2/9*k**5 + 4/9*k**3 + 4/9*k**2.
2*(k - 1)**4*(k + 1)/9
Let w(k) be the second derivative of 1/18*k**4 - 2/27*k**3 + 0*k**2 + 3*k + 0 - 1/90*k**5. Factor w(g).
-2*g*(g - 2)*(g - 1)/9
Let y be -4*3*4/(-72). Factor 0*x**2 + 0 - 2/3*x**3 + y*x.
-2*x*(x - 1)*(x + 1)/3
Let y(f) be the second derivative of -3*f**7/8 + 9*f**6/10 - f**5/4 - 5*f**4/8 + f**3/8 + f**2/4 + 15*f. Let y(p) = 0. What is p?
-1/3, -2/7, 1/3, 1
Let l(k) = -k**2 + 2*k - 7. Let p(d) = -6*d**2 + 10*d - 36. Let y(f) = 16*l(f) - 3*p(f). Suppose y(g) = 0. What is g?
-2, 1
Let k(r) be the second derivative of r**6/90 - r**5/30 - r**4/36 + r**3/9 + 30*r. Factor k(x).
x*(x - 2)*(x - 1)*(x + 1)/3
Let l be 0 - (-2 - (-118)/60). Let j(b) be the second derivative of 0 + 0*b**2 - l*b**4 + b - 1/15*b**3. Factor j(s).
-2*s*(s + 1)/5
Let o(n) be the third derivative of -n**5/12 + 25*n**4/24 - 5*n**2. Factor o(f).
-5*f*(f - 5)
Let j = -12 - -17. Suppose -3*q + 24 = 5*r, j*r - 3*q + 2 = 8. Let -4*g + 3*g**4 - 2*g**2 - 1 + r*g**3 + g - g**3 + g**5 = 0. What is g?
-1, 1
Let w = 3 + -1. Solve h + 4 + 2*h**w - 7*h + 0*h**2 + 0*h**2 = 0 for h.
1, 2
Let g(c) be the first derivative of 3/5*c**5 - 3/2*c**2 - 9/4*c**4 + 3*c**3 - 3 + 0*c. Solve g(b) = 0.
0, 1
Factor 0*a - 8/5*a**2 + 4/5*a**3 + 0 + 4/5*a**4.
4*a**2*(a - 1)*(a + 2)/5
Let m(v) be the first derivative of -v**3/6 + 2*v**2 - 8*v + 2. Factor m(j).
-(j - 4)**2/2
Let h = -33 + 33. Let p(d) be the second derivative of 0*d**5 + 1/10*d**4 + 2/15*d**3 + h - 1/75*d**6 - 3*d + 0*d**2. Factor p(w).
-2*w*(w - 2)*(w + 1)**2/5
Let m(o) = 2*o**2 - 7*o + 23. Let p = 11 + -15. Let a(y) = -2*y**2 + 8*y - 22. Let x(s) = p*m(s) - 5*a(s). Find l such that x(l) = 0.
3
Let x = 4 - 1. Suppose -x*p - 2*p = -10. Let 1/4*m**p + 1/2*m + 1/4 = 0. Calculate m.
-1
Let r(q) be the third derivative of q**5/60 - q**4/24 - q**3/3 + 6*q**2. Factor r(h).
(h - 2)*(h + 1)
Factor 0 - 24/5*m**3 - 3*m**2 - 2/5*m - 11/5*m**4.
-m*(m + 1)**2*(11*m + 2)/5
Let r(i) = 2852*i**4 - 836*i**3 - 916*i**2 - 172*i - 28. Let f(q) = 317*q**4 - 93*q**3 - 102*q**2 - 19*q - 3. Let t(x) = -28*f(x) + 3*r(x). Factor t(k).
-4*k*(4*k + 1)**2*(5*k - 4)
Suppose 0*k = z - k - 11, -5*k = 5. Factor 3*d**4 + 7*d**5 + 4 - z*d**5 - 4.
-3*d**4*(d - 1)
Let v(f) be the first derivative of 5 + 2*f**6 + 9/5*f**5 - 15/4*f**4 + 0*f - 3*f**3 + 3/2*f**2. What is h in v(h) = 0?
-1, 0, 1/4, 1
Find u, given that -5/2*u**2 + 0*u**3 + 5/2*u**4 + 0 + 0*u = 0.
-1, 0, 1
Let o(n) be the first derivative of 7*n**6/6 + 2*n**5/5 - 10. Factor o(p).
p**4*(7*p + 2)
Let r be 10/(-60) + (-2)/(-8). Let t(w) be the first derivative of -1/16*w**4 - 1/20*w**5 + 0*w + 1/8*w**2 + r*w**3 + 3. Solve t(v) = 0.
-1, 0, 1
Let v(u) = u**4 - u**3 - u**2 + u - 6. Let g(h) = 1. Let o(w) = 6*g(w) + v(w). Factor o(r).
r*(r - 1)**2*(r + 1)
Let 3/4*w**2 + 0 - 9/4*w - 3/4*w**4 + 9/4*w**3 = 0. What is w?
-1, 0, 1, 3
Let t(v) be the third derivative of -v**5/20 + v**4/8 + v**3 - 2*v**2. Suppose t(n) = 0. What is n?
-1, 2
Suppose -15 = -5*q + 5*a, -2*q + 4*a = -6*q + 12. Factor 0*d**3 - d - 2*d**q + 2*d**2 + d.
-2*d**2*(d - 1)
Let z(k) be the first derivative of 1/36*k**4 + 0*k**2 + 1 + 1 | {
"pile_set_name": "DM Mathematics"
} |
sitive.
k**(-165/2)
Simplify (n*n*n*n**(-2/3)*n**(-13/4))/(n*n**(-7)/n)**(10/7) assuming n is positive.
n**(109/12)
Simplify (n*(n/(n*n*((n*n/n**(-3/5))/n)/n)*n)/n)**(10/3)/(n**(-12)/n*n*n**(-1/19)*n) assuming n is positive.
n**(172/19)
Simplify (((c**(2/9)*c)/c)/c*c**(-3/8))**(11/5) assuming c is positive.
c**(-913/360)
Simplify u**(4/3)/(u**(-12)*u)*u**(-1)*u**(-2/5)*u assuming u is positive.
u**(179/15)
Simplify (((n*n**(12/7)*n)/n*n)/n)/n**2*n*n*n/(n**(-2/51)/n*n*n)*(n/n**24)/n assuming n is positive.
n**(-7585/357)
Simplify (f*f**(4/9))**2*f/(f/(f/(f*f*f*f*f**(-15)*f)))*f**(-7/5)/f*f assuming f is positive.
f**(562/45)
Simplify (a*a**(1/3))**(-24)*a**(-1/7)*a/(a*a**(1/15)*a*a) assuming a is positive.
a**(-3592/105)
Simplify (q**29*q*q**(1/13))/(q*q**(-16))**(1/64) assuming q is positive.
q**(25219/832)
Simplify (((v**(-4)/v)/(v/v**(3/7)))/(v**(-1/3)/v)**(4/19))**(-12) assuming v is positive.
v**(8444/133)
Simplify (l/(l/(l*l*l**(2/7))))**(-3/14)*l**(-1/13)/l*l*l*l**(-2/11)/l assuming l is positive.
l**(-5245/7007)
Simplify (r**(-2/7))**24*(r**3)**(-7) assuming r is positive.
r**(-195/7)
Simplify s**(-7/5)*(s*s**(-1))/s*s*s**(-1/3)*s**(-4/5)*s assuming s is positive.
s**(-23/15)
Simplify ((s*s*s**(-3/16)/s)/(s/(s/s**(-28))))/((s*s*s**17)/(s*s**(1/8)*s)) assuming s is positive.
s**(191/16)
Simplify y/y**(-7/2)*y/(y*(y**7*y)/y)*(y/(y**(-1)/y*y))**(-4/5) assuming y is positive.
y**(-41/10)
Simplify (x**(-3/5)/x*x*x/x**(-2/29))/(x**(-2)*x*x*x**(7/4)) assuming x is positive.
x**(-743/580)
Simplify (y**(-6)/(y/((y*y/y**(-3/2))/y)))/((y**(-2/15)*y)/y)**(-10/7) assuming y is positive.
y**(-197/42)
Simplify ((a**(-2/7)/a)**13/(((((a*a**(-2/3))/a)/a*a)/a)/a*a/(a/(a*a/(a/a**(-3/4))*a*a))))**(1/35) assuming a is positive.
a**(-1369/2940)
Simplify (g**(2/17)/(g/(g**3*g*g)))/(g*g**(14/9)*g**(-4)) assuming g is positive.
g**(851/153)
Simplify ((u**(-1/7)*u**13)/(u**(2/11)*((u/(u**7*u))/u)/u*u))**40 assuming u is positive.
u**(63680/77)
Simplify (w/(w/w**(-34))*w*w/(w/(w**37*w*w)))/(w**(-28)*w**(-28)) assuming w is positive.
w**62
Simplify (w**5)**(-1/18)/(w**0)**(-37) assuming w is positive.
w**(-5/18)
Simplify (d**(-2/11)/(d/(d/(d/((d/d**(-14))/d)))))/(d*d**18*d*d**(-7/2)) assuming d is positive.
d**(-81/22)
Simplify (z*z*z/z**12)**(2/11)/(z**7*z**(-2/33)) assuming z is positive.
z**(-283/33)
Simplify r/(r*r*r/(r*r**(4/5))*r*r)*r**(-10/7)*r/(r/r**11)*r**(-5/4)/r*r assuming r is positive.
r**(857/140)
Simplify ((t*t**40)/(t*(t**(-32)*t)/t))**(-1) assuming t is positive.
t**(-72)
Simplify ((b**14/b)/b*b*b/(b/b**10)*b*b)/(b*b*b*(b*b**2)/b)**(-1/3) assuming b is positive.
b**(80/3)
Simplify (o**28*o**(34/3))**(-1/42) assuming o is positive.
o**(-59/63)
Simplify (v*v/(v*(v/v**(-6/13))/v)*v/(v**(-8)*v))/(v/(v/(v**(-1)*v)*v))**47 assuming v is positive.
v**(722/13)
Simplify ((v*v**(-8)*v)/(v/v**(-7/4)*v)*v*v**(2/11)*v*v**(1/14))**27 assuming v is positive.
v**(-62343/308)
Simplify p**0*p/p**(-26)*(p**(-4/5)/p)/(p*p/p**(-14/5)) assuming p is positive.
p**(102/5)
Simplify v**(-1/7)*v*v**(-2)*v/(v**(-2/17)/v*v)*v**(-2/17)*v assuming v is positive.
v**(6/7)
Simplify (l/(l**(-7)*l)*(l*(l*l**(2/9)*l*l)/l)/l*l)/((l/((l/((l**11*l*l*l)/l))/l)*l)/((l/(l/(l*l**(-9/7)/l*l*l)))/l)) assuming l is positive.
l**(-319/63)
Simplify ((o**(-16)*o**20)**(2/5))**17 assuming o is positive.
o**(136/5)
Simplify ((w**(2/3))**(-10)/(w/(w/(w/(w/(w*w*w*w**1*w)*w))))**(-2/17))**(-3/17) assuming w is positive.
w**(316/289)
Simplify ((w**(-3)*w)/w)**(1/22)/((w*w**(-2)*w)/w**(2/11)) assuming w is positive.
w**(1/22)
Simplify ((a*a**(3/25)*a)/a**(-4/3))**(2/101) assuming a is positive.
a**(518/7575)
Simplify (d/(d**(-7)*d))**(-7)*d**(-18)*d*d*(d*d**(-1))/d assuming d is positive.
d**(-66)
Simplify (k**(1/3))**(-47)*(k/(k/(((k*k*k/(k/k**(1/2)))/k)/k))*k)/k*k**20 assuming k is positive.
k**(29/6)
Simplify (y**10)**7/(y**7)**17 assuming y is positive.
y**(-49)
Simplify ((k**(-20)/k)/k*k**(4/13))/(k*k**(2/39))**(-21/5) assuming k is positive.
k**(-1123/65)
Simplify p*p*p*p/p**(1/6)*p*p*p*p*p**(-2/23)*(p**(-4)*p*p)**(7/8) assuming p is positive.
p**(1655/276)
Simplify (t/t**(7/4)*t)/t**1*t/t**(1/10)*t**(-2/49) assuming t is positive.
t**(107/980)
Simplify (f**3*f)/((f*f/(f*(f**10*f)/f))/f)*(f*f*f*f/(((f/(f**(-2/13)/f))/f*f)/f))**(2/29) assuming f is positive.
f**(5352/377)
Simplify (f**4)**(-10)*(f/(f/f**(-1/2)))**(3/10) assuming f is positive.
f**(-803/20)
Simplify (((m/m**(3/11))/(m/m**(6/11)*m))**(2/35))**(2/21) assuming m is positive.
m**(-32/8085)
Simplify (m*m*m**(1/22)*m**7)/(m**(1/14)/m**(3/11)) assuming m is positive.
m**(712/77)
Simplify (q*q/(((q**(-3)/q)/q)/q))**27*(q*q/(q*q*q/(q**(4/7)/q)*q))/(q**1/q) assuming q is positive.
q**(1495/7)
Simplify (w/w**(-3/23)*w**(2/25))**(-3/16) assuming w is positive.
w**(-261/1150)
Simplify (y**(1/2))**26/(y**(2/7))**42 assuming y is positive.
y
Simplify t/(t**3/t*t)*(t*t/(t/t**(-8))*t)/t*(t*t/(t**(4/7)/t))**(-1/88) assuming t is positive.
t**(-5561/616)
Simplify (((s**(-6)/s)/s*s**(2/13))**(-43))**(14/3) assuming s is positive.
s**(20468/13)
Simplify (m**(-4)/m*m)**46*(m*(m*((m/(m*m**(-1/28)))/m)/m*m*m)/m)/m*m*m*m*m/m**6*m*m assuming m is positive.
m**(-5151/28)
Simplify (f*f**(3/10))/((f**(-6/23)*f)/f)*(f/(f*f*f**(1/52)/f))/(f/f**19) assuming f is positive.
f**(116859/5980)
Simplify v*v/v**(7/2)*v**(1/22)*((v**(-4/7)/v)/v)/v*v/((v/((v/(v**6/v))/v*v))/v) assuming v is positive.
v**(-618/77)
Simplify s**19*s**(-21)*((s**(-11)/s)/s)/(s/s**(1/11)) assuming s is positive.
s**(-175/11)
Simplify (((n/n**(-2/11))/n**(3/5))/(n**(-2/7))**28)**(9/8) assuming n is positive.
n**(531/55)
Simplify (((y**(-8)/y*y*y)/y*y*y)/y)**(-16)*y**(-26)/y**(2/13) assuming y is positive.
y**(1116/13)
Simplify (p*(((p/p**(-2/13))/p)/p)/p)**(-47)*p**(-2/3)*p**(-2/87)/p assuming p is positive.
p**(14356/377)
Simplify q**8*q/(q**12/q)*q*q**(1/11)/(q**10/q) assuming q is positive.
q**(-109/11)
Simplify ((n/(n*n**(3/4)/n*n))/n**(-1))/(n*n**(-1/2)*n*n*n**(-1/3)/n*n) assuming n is positive.
n**(-23/12)
Simplify ((v**(-2/3)/v**(-6))/((v*v**(-2/11))/((v/(v*v**(1/6)*v*v))/v)))**(-15) assuming v is positive.
v**(-445/22)
Simplify ((l/(l/(l**(-1)*l*l)))/((l*l**(-1/3)*l)/l))/((l*l**(-3/8)/l)/(l**(-8)*l*l)) assuming l is positive.
l**(-127/24)
Simplify ((s**(-1/3))**(2/69)/(s/s**(1/2)*s**(-2)/s*s*s))**39 assuming s is positive.
s**(2639/138)
Simplify ((c**(2/5)*(c**8*c)/c)**(-46))**(11/5) assuming c is positive.
c**(-21252/25)
Simplify (p**(-4)/p**7*p**3/(p**(-1/4)/p))**(-10/11) assuming p is positive.
p**(135/22)
Simplify ((u*u/u**45)/(u**(-19)/u))**47 assuming u is positive.
u**(-1081)
Simplify ((p*p*p/p**(1/3)*p)**(-21)*p**(-2/7)*p/(p*p/p**(1/10)))**(-14/9) assuming p is positive.
p**(5473/45)
Simplify (b**(-3/7))**(3/2)/(b*b/(b/(b**6*b))*b**7) assuming b is positive.
b**(-219/14)
Simplify (((k**0/k)/(((k/(k/(k*k**(-1/4))))/k)/k))/((k*k/(k**(1/2)/k)*k)/k*k*k*k)**20)**(-1/56) assuming k is positive.
k**(439/224)
Simplify (((s**(-1/7))**43)**(-1/22))**(-1/5) assuming s is positive.
s**(-43/770)
Simplify x**(-8/3)/x**(-4)*(x**1/x)**(12/7) assuming x is positive.
x**(4/3)
Simplify ((g/g**(3/7)*g*g)/g**(-19))/(g**(3/19)/(g*g/(g/(g/(g*g*g**(4/13)))))) assuming g is positive.
g**(36492/1729)
Simplify (v*v/((v*v/v**(1/5))/v))/v**10*((v**(-3/4)*v)/v)**(-9) assuming v is positive.
v**(-41/20)
Simplify (z*z**6*z**7)/(z*(z*z/(z**(-1/4)/z))/z)**(-1/28) assuming z is positive.
z**(1581/112)
Simplify (h*h*h/((h*h**(2/15))/h)*h)**(2/9)/((h*h**(-26))/(h**(-10)/h)) assuming h is positive.
h**(2006/135)
Simplify (((i**(-1/4)/i)/(i/i**(-3/2)))/(i**(1/3))**(2/27))**(-1/15) assuming i is positive.
i**(1223/4860)
Simplify ((l**(-2/45))**(-46))**(2/15) assuming l is positive.
l**(184/675)
Simplify (g**(-2/11)*g)**(-6/11)/(g**(3/8)/((g*g*g/((((g*g**0*g)/g)/g*g)/g))/g)) assuming g is positive.
g**(1141/968)
Simplify (d**(-3)*(d**25*d*d)/d*d)**(1/3) assuming d is positive.
d**8
Simplify (a**(-5)/(a/(a/(a/(a**20*a)))))**42 assuming a is positive.
a**630
Simplify (m**(-12)/m*m)/m**(1/5)*(m**(2/9))**(28/3) assuming m is positive.
m**(-1367/135)
Simplify (s/(s/(s/(s**(2/11)/s)))*s*s)**(-3)*s**(-9)/((s**(-14)*s*s)/s) assuming s is positive.
s**(-82/11)
Simplify (((i*i**(-4/5))/(i/((i**(-6)*i)/i)*i))/(i**3)**(4/27)) | {
"pile_set_name": "DM Mathematics"
} |
hat is h(p)?
1
Let t(o) = 23*o**2 - 2*o + 64. Let w(h) = -27*h**2 + h - 76. Let a(n) = 7*t(n) + 6*w(n). Let u(i) = i**2 - 9*i + 7. Let v be u(7). Determine a(v).
-1
Let t(c) = 4*c - 4. Let p be t(3). Let a(k) = 3 + 9581*k + 3 - 4 - 7 - 9580*k + 2. What is a(p)?
5
Let w(o) be the third derivative of o**6/120 + 7*o**5/60 + o**4/4 - 2*o**3/3 - 3*o**2. Let y(t) = -t**3 - 5*t**2 + 6*t - 6. Let a be y(-6). Give w(a).
-4
Let r(o) be the first derivative of 2/3*o**3 + 3/2*o**2 + 1/4*o**4 + 22 - 6*o. Let q be r(0). Let l(g) = g**2 + 3*g - 7. What is l(q)?
11
Let m(y) = -2543 + 4952 - y + y**2 - 2484. Give m(0).
-75
Let b(n) = -5*n**3 - 13*n**2 - 14*n + 1. Let j(g) = -4*g**3 - 12*g**2 - 9*g + 2. Let q(z) = -3*b(z) + 4*j(z). What is q(-10)?
45
Suppose 0 = 2*s - 5*a + 21, s + 0*s - 17 = -3*a. Let h(u) = -7*u**2 - s*u - 7*u + 104*u**3 - 103*u**3 + 6. What is h(8)?
-2
Let y(b) be the first derivative of 138 + 1/2*b**2 + 0*b. What is y(0)?
0
Let v(l) = -28*l**3 - 12*l**2 + 17*l - 4. Let b(r) = -6*r**3 + 9 - 6*r**2 + 8*r - 11 - 7*r**3. Let k(o) = 13*b(o) - 6*v(o). Determine k(-6).
-14
Let r be (6 - 33/6)/((-2)/(-8)). Let i(y) = y**2 + 2*y**r + 3*y - 1542 + 1544 + y. Suppose 10 = 3*q - 8*q. Give i(q).
6
Let t(u) = 2475*u**2 - 4*u - 7 - 2482*u**2 + 36 - 2*u + 3*u + u**3. What is t(7)?
8
Let r be 0 + -2 + 1 + (-84)/(-12). Let z(u) = -u**3 - u**2 + 1. Let k be z(-4). Let i(x) = -k*x + 55*x + 0*x**2 - x**2 + 8. Determine i(r).
8
Let k(b) = 0 - 1 + 0*b + 0 + b**3 - b - 5*b**2. Let x = -9 + 11. Suppose x*w - 1 = o, -3*o - 19 = -5*o - 3*w. What is k(o)?
-6
Let x(c) = 82 + 3*c - 206 + 155 - c**2. Calculate x(9).
-23
Let o be (-3)/(-5) - 17/(-5). Let k(m) = -18 - 6*m**2 - o*m**3 + 14 + 3*m**3 + 8*m**2 + 5*m. Determine k(4).
-16
Suppose -2*g - 3*g = 5, -5*u + 3*g = 27. Let b(r) be the third derivative of -r**5/60 - 7*r**4/24 - r**3/3 + 228*r**2 + 3. Determine b(u).
4
Let f(c) = -3*c**3 + 6*c**2 - 5*c + 7. Suppose 0 = -7*q - 80 + 87. Let r(b) = -2*b**3 + b**2 - b + 1. Let z(g) = q*f(g) - 6*r(g). Determine z(-1).
-9
Let a(p) = 10*p**2 - 23*p**2 + 12*p**2 + 4*p**2 + p - 2 + 0. Suppose 4*o + 24 = 4*c, -3*o = -4*c + 18 + 2. Suppose 1 = c*z - 3. Determine a(z).
12
Suppose 32*d - 105 = -25*d + 123. Let g(v) be the third derivative of 0*v - 1/6*v**3 + 0 + 1/24*v**6 - 1/30*v**5 + 1/12*v**d - 7*v**2. What is g(1)?
4
Let d(v) be the third derivative of v**7/60 - v**6/360 + v**5/120 - 22*v**3 - 119*v**2. Let j(i) be the first derivative of d(i). Calculate j(1).
14
Let a(r) = -143*r**2 - 279*r - 211. Let y(z) = 7*z**2 + 14*z + 10. Let f(x) = 2*a(x) + 41*y(x). Calculate f(-16).
-12
Let d be ((-385)/15 - 30/(-18) - 6) + 6. Let r(h) = -6*h - 157. Determine r(d).
-13
Let o(c) = 413*c**2 + 417*c**2 + 25*c + 414*c**2 + 3 + 402*c**2 - 1645*c**2. Give o(-25).
3
Let u(y) = -y**2 + 17*y - 3. Let v = 8543 - 8526. What is u(v)?
-3
Let p(a) = a**3 - 9*a**2 + 8*a - 5. Let q(f) = f**3 + 4*f**2 - 15*f - 10. Let s be q(-6). Calculate p(s).
-5
Let z(j) = -2*j**3 - 51 + j**2 + 3*j**3 - 25 + 75. Suppose 0 = 2*a - 4. Suppose 4*r = -r + 2*w + 2, -r + a*w = -2. Determine z(r).
-1
Let n(c) be the third derivative of c**5/60 + c**4/8 + c**3/6 - 11*c**2. Let x(a) = a**2 - 5*a - 3. Let f be x(6). Let q be ((-2)/f)/(6/18). What is n(q)?
-1
Let r(h) = -h**2 + 5*h. Suppose 7*b - 36 = -2*b. Suppose -b*y - 3 = -11. Suppose 5*i - 4*i = -y*l + 15, -3*l = -2*i - 12. Determine r(l).
-6
Let z(i) = -391*i**2 - 558*i**2 + 952*i**2 - 5*i + 36. What is z(6)?
114
Suppose 2*v - 1157*o - 46 = -1159*o, -52 = -4*v + 4*o. Let s(u) = -4*u**2 + 70*u + 27. Calculate s(v).
-9
Let f(j) = -5*j + 1. Let y(h) = -4*h + 1. Let c(b) = -3*f(b) + 4*y(b). Suppose 180*a + 1300 + 362 = -374*a. Determine c(a).
4
Let z = -4599 + 4601. Let a(s) = s**3 - 4*s**2 + 3*s + 2. Determine a(z).
0
Let i(y) be the first derivative of -1293*y + 15 + 0 + 3*y**2 + 1 + 1292*y. Determine i(2).
11
Suppose -511*w + 507*w = -1240. Let x(b) = 0 - 2 - 312*b**2 + w*b**2 - 5*b - 3. Calculate x(-5).
-30
Let f(o) = -o**3 - 10*o**2 - 8*o - 7. Suppose -4*j = -8*j - 3*g + 17, 0 = j + g - 4. Let y(m) = m**2 + 7*m - 69. Let z be y(j). Give f(z).
-16
Let n(f) = f**2 - 6*f + 5. Let j = -104 - -107. Let y(i) = -j*i + 16 + 51 + 25*i - 12*i. Let p be y(-6). Give n(p).
12
Let m(g) = -5*g - 10. Let u(t) = 7*t**2 - 12*t**2 + 6*t**2 - 5*t + 3. Let f be u(3). What is m(f)?
5
Let n(i) be the third derivative of -i**5/60 + 5*i**3/3 - 2488*i**2. Calculate n(-4).
-6
Let x(t) be the first derivative of -2*t**3/3 + t**2 - 3*t - 5. Let z(s) = 2 + 4*s**2 - s**2 - 3*s**2 + 4*s + 2*s**2. Let w be z(-2). Calculate x(w).
-7
Let f(t) = 8*t + 9. Let o(g) = 300*g + 11400. Let c be o(-38). Give f(c).
9
Let j(p) = 55*p + 490. Let b = -5435 + 5426. What is j(b)?
-5
Let x(i) = -3*i**2 + i + 2. Let v(t) be the first derivative of -t**3/3 + 5*t**2 - 2*t + 49. Let g be v(10). Give x(g).
-12
Let w(j) = j + 19. Let r = -73 - -56. Let i be w(r). Let q(o) = -3 - 5*o + i*o**2 + 16*o**3 - 1 - 15*o**3. Determine q(-3).
2
Let p = -332 + 336. Suppose -p*c = 8*c + 48. Let w(m) = -2 - 2*m**3 - 5*m**2 + m**3 + 7 - 2*m. Determine w(c).
-3
Let j(l) = 3*l + 40. Let k be j(-6). Suppose -k*n + 28 = -16. Let p(z) = 21*z + 1. Determine p(n).
43
Let b(f) = -13*f - 8*f**2 + 248 - 2*f**3 + 249 + f**3 + 253 - 767. Determine b(-5).
-27
Let s(d) = 474 - 5*d - 11*d - 7*d - 481. Calculate s(-6).
131
Let y(a) = -5*a**3 - 5*a**2 - 11*a - 3. Let m(x) = -2*x**3 - 4*x**2 - 8*x - 3. Let q(l) = -3*m(l) + 2*y(l). Determine q(-2).
39
Let y be 9/((-126)/(-4)) - (-18)/(-63). Let h be ((-9)/2)/(1/(-2)). Suppose y = h*l - l - 16. Let q(d) = -d**2 + 3*d - 2. Determine q(l).
0
Let u(w) = 3*w - 226*w**2 - 205*w**2 + 442*w**2. Calculate u(-2).
38
Let f be (-10)/8*(0 - -4). Let r(n) = -n**3 - 4*n**2 + 4*n - 11. Give r(f).
-6
Let r(g) be the second derivative of -g**3/3 - 2*g**2 - 2*g + 68. Suppose -2*p + d + 3 = -4*p, -5*d + 18 = -p. Give r(p).
2
Let j be 104/6 + 2/(-6). Let i(h) be the second derivative of h**4/12 - 17*h**3/6 - h**2/2 + 413*h + 3. What is i(j)?
-1
Let g = 11 + -8. Let b(n) = -315*n + 16. Let w(v) = -1299*v + 65. Let c(z) = -66*b(z) + 16*w(z). Give c(g).
2
Suppose 39*s = 737 - 464. Let j(w) = 2*w - 28. Let f(n) = -n + 14. Let i(u) = 11*f(u) + 6*j(u). Calculate i(s).
-7
Let b = 221920 + -221926. Let p(o) = -4*o**2 + 11*o + 1. Let h(a) = -5*a**2 + 12*a + 2. Suppose 3*v - 17 - 1 = 0. Let x(d) = v*p(d) - 5*h(d). Give x(b).
-4
Let i(t) be the second derivative of 195*t - 6*t**3 - 1/20*t**5 + 0 + 3/2*t**2 - 5/3*t**4. Calculate i(-18).
3
Let s(j) = j**2 + 10*j + 28. Let x be s(-6). Suppose 15 = -5*k - 5*o, k - 9 = 2*k + x*o. Let w(i) = 14*i**2 + i. Determine w(k).
13
Let i(o) = 30*o**2 - 1 + 10*o - 80*o**2 + 23*o**2 + 26*o**2 + 7. Suppose -2 = -3*l + 2*x + 25, 4*l + 4*x = 36. Determine i(l).
15
Let s be -3 + (-8)/(-28) + 19/7. Let x(g) = -285*g + 1 + 283*g + 3*g**2 + s. Give x(3).
22
Let u(o) = o**3 - 6*o**2 + 6*o - 3. Let s = 178 - 170. Suppose 4*x - 8 = 0, l + 2*x = 3*l - s. Calculate u(l).
33
Suppose 4*b = 14*b - 80. Suppose b*d = 6*d + 18. Let m(p) = -3*p + 11. Determine m(d).
-16
Let o(g) = -g**3 + 3*g**2 - g + 3. Let w(n) = -n**2 + 2*n + 3. Let r(v) = 3*v**2 - 5*v - 9. Let l(s) = -6*r(s) - 17*w(s). Let t be l(0). Determine o(t).
0
Let d(w) = -3*w**2 - 22*w - 20. Let g(c) = -4*c**2 - 48*c - 49. Let z be g(-11). Let p(j) = 2*j**2 + 12*j + 10. Let a(m) = z*p(m) - 3*d(m). What is a(8)?
-6
Let q(l) = -5*l - 50. Let v be q(-11). Suppose -3 = 2*x + v*g - 17, -4*g = -4*x. Let y(z) = 14*z - 3. Give y(x).
25
Let o be 6 - ((3 - 6) + (-7)/(-1)). Let w(d) = -3*d**3 - d + 2. Let n(a) = -5*a**3 - 6*a**2 - 11*a + 13. Let l(c) = o*w(c) - n(c). Give l(7).
5
Let d(p) = 2*p - 4. Let y be (-14 - 4/2) + (8 - 3). Let z be y/(-22) + 21/(-6). What is d(z)?
-10
Let b(q) = -q**2 + 18*q + 15. Let u = 5586 + -5567. What is b(u)?
-4
Suppose 6*u - 119 = -11*u + 102. Let y(t) = -t**3 + 12*t**2 + 13*t - 16. What is y(u)?
-16
Let g(t) be the second derivative of -11*t**3/6 + 3*t**2 - 201*t - 8. Give g(5).
-49
Suppose -i = 47 - 51. Let p(c) = i + c - 7 - 1 - 5. What is p(10)?
1
Let j(t) = -3*t**3 + 9*t**2 - 5*t - 8. Let m(w) = 7*w**3 - 20*w**2 + 11*w + 15. Let k(y) = 5*j(y) + 2*m(y). Let o be k(3). Let h(z) = 21*z - 1. Give h(o).
-22
Let t(k) = 17*k**2 - 3*k**2 - 1 | {
"pile_set_name": "DM Mathematics"
} |
Let y = -12 - -6. Let v be 344/28 - y/(-21). Suppose -4*d = k - 3, -8*d = -3*d - 4*k + v. Solve d*f - f + 5 = 0 for f.
5
Suppose 0 = -8*j + 6 + 34. Solve -j*n - 25 = -0*n for n.
-5
Let j(q) = -q**3 + q + 20. Let w = 8 + -6. Suppose -2*f = -5*d, 7*d = w*d + 5*f. Let i be j(d). Solve -4*h - h - i = 0 for h.
-4
Let h(g) = 4*g**2 - g. Let k(y) = -13*y**2 + 4*y - 1. Let t(w) = 7*h(w) + 2*k(w). Let z be t(2). Let b = -7 - -7. Solve b = -v - v - z for v.
-4
Let g = 9 + 11. Let x(j) = -2*j**3 - j**2 + 6*j + 10. Let v be x(-2). Solve v*y = 5*y + g for y.
4
Let i(p) = -p + 6. Let o = -1 + 1. Let u be i(o). Let w = -36022 - -36022. Solve w = -x + u*x + 20 for x.
-4
Suppose 0*m + 4 = m. Suppose -3*z - n + 3*n + m = 0, 5*n + 10 = 4*z. Solve z = 2*v - 0*v + 2 for v.
-1
Suppose 16 - 6 = 2*z. Let m(k) = k**2 + 48*k - 93. Let v be m(-50). Solve -v - z = 4*f for f.
-3
Let w = -81 + 84. Let t be (4 - w) + -1 + 3 + 0. Solve 0 = t*s + 2*s - 5 for s.
1
Suppose 2*v = 5*y - 5 - 6, 4*y - v = 10. Solve j - y*j = -2 for j.
1
Suppose 4*x = 3*r - 72, -x - 5 = -2. Let b = -51 - -56. Suppose 0 = -4*u + 3*q - 12, -u - b*q = 2*u - r. Solve o - 5*o + 16 = u for o.
4
Let y(i) = -i**3 + 19*i**2 + 21*i - 14. Let b be y(20). Suppose b*f - 5*r - 3 = 2*f, 5*f = 3*r + 7. Solve -f*s - s - 9 = 0 for s.
-3
Let a be (2 - (-14)/(-6))*(14 - 5). Let s = a + 7. Solve -s*q = -1 + 5 for q.
-1
Suppose -2*r = -5*x + 13, 4*r - 18 = r - 5*x. Let u(d) = d**2 + 15*d - 14. Let k be u(-16). Solve 0 = -t - r - k for t.
-3
Let j(w) = -2*w**2 + w + 7. Let c be j(3). Let h be -2 + c/(-3 + -1). Solve -5*d + d + 4 = h for d.
1
Suppose 5*m - 12 = -t, -2*m - 5*t = -t + 6. Let l(h) = -5*h - 23. Let x be l(-11). Let k = x - 32. Solve k = -3*v + m - 0 for v.
1
Let k = 884 - 879. Solve 5 - k = -f for f.
0
Let o = -303 + 306. Let j(f) = -4 + 0 - 3*f**2 - f**3 + 7*f**2. Let z be j(o). Solve 0*y + y = z for y.
5
Let c be 10/2 + 23 + -17. Let u be 0/(-8) + (-2)/(-1). Solve -3 = u*k - c for k.
4
Let x(f) = 8*f**2 - 4*f - 3. Let q be x(-1). Suppose 3*k = q*k - 12. Solve 2*n - k + 0 = 0 for n.
1
Let c be 4/46 + (-30316)/(-506). Solve -20 = 16*h + c for h.
-5
Let b(a) = 2*a - 10. Let o be b(6). Suppose 5*u + 10 + 0 = 5*v, -o = u. Suppose 0 = 3*l + 5*i - 30 - 18, -i = v. Solve -5*c + l = -c for c.
4
Let w(j) = -14*j + 71. Let b be w(9). Let c = b - -59. Solve -6*d = -c*d - 6 for d.
3
Let b be (15/6)/5 - 14/(-4). Solve -b*f = f for f.
0
Let s be (-8)/6*(-3)/2. Suppose -2*b - 5*t + 19 = 0, -6 = 3*t - 5*t. Suppose 2*m + 3*m - 21 = b*y, 0 = 4*y + 3*m - 23. Solve y*l = -s - 6 for l.
-4
Suppose -21*d = r - 20*d - 15, r - 2*d - 12 = 0. Solve 32*q - 25*q = r for q.
2
Let n = -10 - -15. Solve x + 4*x - n = 0 for x.
1
Let h be (-30)/5 - (-12)/2. Solve 0 = -6*i + 24 - h for i.
4
Let m = -71 - -74. Solve -m = -5*o + 6*o for o.
-3
Suppose u - 3*s - 6 = 0, s - 2 = 2*u + 2*s. Solve u*q - 4 = q for q.
-4
Let c(i) = 10*i - 197. Let n be c(20). Solve n*a - a + 6 = 0 for a.
-3
Let b(y) = -y**3 - 5*y**2 + 5*y - 3. Let w be b(-6). Let u be 0/w + -1 + 1. Suppose u = s + 4 - 7. Solve 0 = -5*r + 7 + s for r.
2
Suppose 0 = -3*p + 29*p - 26. Let b = 1 + 1. Solve -7 = b*z + p for z.
-4
Suppose -200 = -59*o + 34*o. Solve -o*f + 11 + 5 = 0 for f.
2
Suppose 206*y - 207*y - 2*x + 5 = 0, 8 = y + 5*x. Suppose 0 = 2*o + o - 6. Solve 0 = -o*g + y*g + 5 for g.
-5
Let f = 822 - 815. Solve -f*o + 69 = 34 for o.
5
Let t = -73 + 9. Let a be t/12*6/(-4). Solve -2*k + 0 - a = 0 for k.
-4
Let t(y) = -5*y + 263. Let c be t(52). Let n = 5 + -3. Let d be 40/n*1/2. Solve -c*f - d = -22 for f.
4
Let g(x) = -x**3 + 4*x**2 - 3*x + 1. Let c(j) = j**3 - j**2 - j. Let s be c(2). Let p be g(s). Solve -p*a + 4*a = 0 for a.
0
Let n be ((-8)/4 + -3)/(-1). Suppose n*s + 321 = -189. Let h be (s/119)/(2/(-14)). Solve -a + h = 2 for a.
4
Suppose g = -4*h + 4*g, -3*h = 4*g. Suppose h = 2*t + 10 - 26. Solve -t = 2*y + 2 for y.
-5
Let x be 16*8/(-16) + 8. Solve 4*r + 15 - 3 = x for r.
-3
Suppose 88 = 5*f - f. Suppose 0 = 3*b - b - 5*l - f, 4*l - 56 = -3*b. Solve -5*r = -1 + b for r.
-3
Suppose w - 19 = -2*b, -4*b + 39 = 2*w - b. Solve -6*c + 13*c = -w for c.
-3
Suppose -a + 0*h + 2*h + 5 = 0, 0 = -2*h. Suppose -2*q + 0*q - a*l = 20, 4*q - 3*l = 12. Solve q = -g + 1 + 2 for g.
3
Let b(y) be the first derivative of 5*y**2 + 64*y + 49. Let l be b(-6). Solve 0 = r + 7 - l for r.
-3
Suppose 3*k = 3 - 0. Let x(w) = w**3 - 21*w**2 + 55*w + 235. Let s be x(17). Solve -s - k = 3*m for m.
-5
Suppose -2*i = -15*r + 17*r - 4, -24 = -3*r + 3*i. Suppose h + 5*k - 50 = -4*h, -2*k = -2*h + 40. Solve -5*q = h - r for q.
-2
Let b be ((-2)/(-8) + (-221)/(-52))*10. Suppose 13*d = 10*d + b. Solve 5*u - d = -35 for u.
-4
Suppose 6 = 2*n + n. Let s be (4 - 5)*-1*3. Suppose -s*a = -2*i - 23, 6*a - 30 = a - 5*i. Solve -3*r = -n - a for r.
3
Suppose -11*p - 6*p = -32*p. Solve 3*m + p + 12 = 0 for m.
-4
Suppose 13*y - 4*f = 17*y - 40, 4*y + 3*f - 35 = 0. Solve y*b + 23 - 3 = 0 for b.
-4
Let t(j) = j**2 + 29*j + 324. Let i be t(-16). Solve i*g + 1 = 115*g for g.
-1
Let t = 3606 - 3606. Let c(j) = -j + 7. Let d be c(6). Solve -g = -d - t for g.
1
Let l be 10/(-8)*-1*(11 - -21). Solve 43*v - l*v + 9 = 0 for v.
-3
Let p(u) = -u**3 + 14*u**2 + 31*u + 23. Let z be p(16). Solve 2*s = 9*s + z for s.
-1
Let s be ((-9)/6)/(-4*(-4)/(-96)). Solve s*i + 1 = 10*i for i.
1
Suppose 0 = 5*j - 5*v + 50, j + 5*v + 6 = -2*j. Let r(y) = y**2 + 3*y - 25. Let d be r(j). Solve -d*b = -4*b for b.
0
Let m(g) = g**2 - 4*g + 3. Let r = 76 + -75. Let n be m(r). Solve n = -l - 1 - 1 for l.
-2
Let u(q) = 4*q + 24. Let v be u(-5). Suppose -1 = c + 2*y, 7 = -v*c + 3*y + 14. Solve c = -4*l + 5*l for l.
1
Suppose 1499 = 20*a + 99. Solve -a = -7*c + 21*c for c.
-5
Let d(n) = 13*n - 2. Let b be d(2). Solve b = -0*l - 6*l for l.
-4
Suppose 4*y - 16 - 16 = 0. Let m be (-8)/(55/50 - 1). Let s be ((-96)/m)/(6/20). Solve -s*f - 4 = -y*f for f.
1
Suppose 5*p = -10, -v - 55 = -4*v + 5*p. Let x = -29 + 47. Let o = x - v. Solve 0 = -4*b + o*b + 3 for b.
3
Let t be 2*(-2)/(2 - 4). Suppose t*j - 7*j + 35 = 0. Solve 0 = -j*n + 2*n + 25 for n.
5
Let z(q) = -q**2 - 9*q - 11. Suppose 20 = -2*p + 6*p. Suppose -p*b + 0*b - 35 = 0. Let c be z(b). Solve 0 = -w + c*w for w.
0
Let k(z) = z**2 + 5*z. Let y be k(-5). Suppose -2*v + y*i + 55 = 3*i, -10 = -v - 5*i. Let d = -25 + v. Solve 2*r + d = 4*r for r.
5
Suppose -4*s = -6*i + 11*i + 7, -4*s + 11 = -i. Solve s*y = 7*y + 15 for y.
-3
Suppose 395*o - 404*o + 72 = 0. Solve 7*s + 1 = o*s for s.
1
Let s(y) = 50 + 14*y + 7*y - 2*y**2 + y**2. Let f be s(23). Solve -10 = -f*u + 10 for u.
5
Let m = 5 + -7. Let c(y) = -y**3 - 3*y**2 - y + 2. Let t be c(m). Suppose t*v = -2*v - 4*j + 14, 0 = -3*v + j + 14. Solve 0 = -g + v*g for g.
0
Let u be (2/2)/((-5)/(-45)). Suppose 10*z - 12 - 8 = 0. Solve -j + u = z*j for j.
3
Let n(s) = -s + 28. Let h be n(26). Suppose -w + h = 3*r, -r = 3*r - w - 12. Solve d + 3 = -r*d for d.
-1
Suppose -4*t + 20 = 12. Suppose -t*b + 6*b = 0. Solve -4*i = -b*i + 16 for i.
-4
Let t = 1838 + -1825. Solve 0 = -t*u + 21*u - 24 for u.
3
Suppose -4*n = 2*d - 48, 2 = 4*d - 5*n - 55. Let r = 21 - d. Suppose 0*l = 3*l - 6. Solve r*i = -l - 7 for i.
-3
Suppose -106*w = -41*w - 845. Solve w*s + 4*s + 34 = 0 for s.
-2
Suppose -6 - 14 = -5*z. Suppose 5*h = -4*v + 30, 3*h + 6 = z*h - v. Suppose y - 3 = 5*w, 6*w - 2*y = 2*w - h. Solve -5*i + 34 - 9 = w for i.
5
Suppose -4*c - j + 7 = -4*j, -5 = -2*c + j. Suppose 18 = 5*a - g - 45, 47 = 3*a + c*g. Solve 3 = -5*t + a for t.
2
Suppose v = 2*t - 255 + 310, -v - 2*t = -55. Solve 0 = 3*r - 61 + v for r.
2
Suppose p = -4*p - 20. Let o be p*(38/(-4) - -2). Let x = -18 + o. Solve -x = -5*a + 13 for a.
5
Let r = 31 + -30. Let w = 4 + r. Solve w*g - 9 = 2*g for g.
3
Let s(m) = -3*m**2 + 24*m - 18. Let a be s(5). Solve 24*x = 93 + a for x.
5
Let h be (36/(-48))/((-2)/8). Suppose h*t = 3*z + 3, 3 = 4*z - t + 4. Solve 3*w - 7*w + 8 = z for w.
2
Let t be (-1)/(20/(-6) + 3). Suppose -4*d = 3*m - 3*d - 5, -2*d = -t*m + 17. Solve -2*j = -m*j for j.
0
Let f(l) = 2*l**2 - 2*l - 2. Let m be f(2). Let d(t) = -t - 4*t + 3*t + 3*t. Let v be d(m). Solve -z + v + 2 = 0 for z.
4
Suppose -3*x = -6, 4*x + 42 = 8*i - 3*i. Solve i*j + 0*j = 40 for j.
4
Let t be (-1 + 1)/(-1 + (2 - 3)). Solve t | {
"pile_set_name": "DM Mathematics"
} |
).
2*t**2 + 73
Let r(p) = -2*p**2. Let d(l) = 2141*l + 5. Let q(t) = -3202*t - 7. Let m(w) = 7*d(w) + 5*q(w). What is m(r(i))?
2046*i**2
Let w(l) = -13*l**2 - 54*l - 25. Let g(u) = 2*u - 42. Calculate g(w(n)).
-26*n**2 - 108*n - 92
Let i(b) = -2*b**2 + 12625*b + 30. Let q(f) = -25*f. What is i(q(u))?
-1250*u**2 - 315625*u + 30
Let j(z) = 5*z. Let p(a) = -43607911*a. Calculate p(j(n)).
-218039555*n
Let s(l) = -29*l - 1. Let g be s(-1). Let b(i) = -23 + 76 - 30 - 24. Let o(d) = d + 7. Let w(y) = g*b(y) + 4*o(y). Let q(k) = -4*k**2. What is w(q(c))?
-16*c**2
Let m(b) = -2*b**2. Let o(r) be the third derivative of r**6/24 + 95*r**3/6 + 44*r**2. Let g(z) be the first derivative of o(z). Calculate g(m(u)).
60*u**4
Let g(b) = b. Let f(v) = -2707*v + 9. Let n(r) = -8313196*r + 27642. Let z(m) = 18428*f(m) - 6*n(m). Calculate g(z(q)).
-5420*q
Let g(h) = 11*h. Suppose 9 = 10*n + 3*q, -n + 18 = 5*q + 3. Let f(d) be the first derivative of 0*d + 39 + n*d**2 + 2/3*d**3. Determine f(g(b)).
242*b**2
Let g(d) = -4*d**2 - 2*d**2 + 4*d**2. Let o(z) be the first derivative of 1/2*z**2 - 156 + 0*z. Determine g(o(p)).
-2*p**2
Let j be -3 + (2/(-1) + 109)*-1. Let d = j - -192. Let k(a) = 4*a - 82 + d. Let w(b) = -9*b**2. Calculate w(k(s)).
-144*s**2
Let p(m) = m + 1226 - 215*m - 1224. Let k(d) = 4*d. What is p(k(y))?
-856*y + 2
Let m(t) = 6*t. Suppose -y + 25*y - 240 = 0. Let x(q) = 2546 - y*q - 2546. What is m(x(n))?
-60*n
Let n(y) = 9*y**2 + 2. Let i(u) = 14*u - 38*u + 16*u + 8*u - 14*u**2. Determine i(n(a)).
-1134*a**4 - 504*a**2 - 56
Let u(k) = -2*k + 15. Let b(j) = -15*j**2 - 13*j + 117. Let z(a) = -7*a**2 - 6*a + 54. Let v(g) = -6*b(g) + 13*z(g). What is v(u(n))?
-4*n**2 + 60*n - 225
Let c(f) = 99*f**2. Let j(p) = -15*p - 14. Let n(t) = -6*t - 3. Let q(m) = -j(m) + 5*n(m). Calculate c(q(g)).
22275*g**2 + 2970*g + 99
Let k(a) = 26*a + 2. Let y(v) be the first derivative of -115 - 1/3*v**3 + 0*v + 0*v**2. Give k(y(w)).
-26*w**2 + 2
Let k(a) = a**2. Let w(p) = 16 - 16 + 23*p**2 - 60*p**2 - 44*p**2. Calculate k(w(g)).
6561*g**4
Let h(r) = -22*r**2 + 3. Let q(b) = 4*b**2 + 62290*b - 62290*b. Give h(q(a)).
-352*a**4 + 3
Let c(j) = -5*j**2. Let i(n) = -2*n + 483644. Give i(c(x)).
10*x**2 + 483644
Let b(u) = 16*u + 21*u - 50*u + 11*u. Let d(j) = 10 - 13 - 1 - 20*j**2 + 5. What is b(d(c))?
40*c**2 - 2
Let c(v) = 12*v - 15. Let i(d) = -35*d + 42. Let h(x) = 14*c(x) + 5*i(x). Let u(k) = 55*k. Calculate h(u(t)).
-385*t
Let t(n) = -176*n**2. Let d(m) be the first derivative of -20*m**2 + 5570. Give d(t(k)).
7040*k**2
Let x(b) = 54*b**2. Let q(f) = -1606765*f**2. Give x(q(a)).
139411463322150*a**4
Let k(z) = -41*z**2 - 6*z - 534. Let l(p) = -166*p. Determine k(l(v)).
-1129796*v**2 + 996*v - 534
Let j(n) = -11*n. Let c(i) = i - 30943. Determine j(c(b)).
-11*b + 340373
Let l(z) = 12*z. Let t(m) = 9*m + 20. Let f(q) be the second derivative of 5*q**3/6 + 6*q**2 + 80*q. Let s(d) = 5*f(d) - 3*t(d). Give s(l(h)).
-24*h
Let c(p) = -985*p**2 + 2. Let v(n) = -7*n**2 + 16*n - 8. Let b(h) = 64*h**2 - 152*h + 76. Let w(y) = -2*b(y) - 19*v(y). What is c(w(z))?
-24625*z**4 + 2
Suppose 0 = 3*h + 11 + 4. Let p(w) = w - 1. Let a(o) = 6*o - 7. Let c(f) = h*a(f) + 35*p(f). Let n(l) be the first derivative of -3*l**2/2 + 9. What is n(c(z))?
-15*z
Let c(d) = 8*d + 102. Let o be c(-13). Let j(g) = 8*g - 4. Let h(u) = -u + 2. Let w(z) = o*h(z) - j(z). Let l(v) = -v + 13 - 13. Give l(w(i)).
6*i
Let x(j) = -1307*j. Let l(u) = 24794*u. Give x(l(o)).
-32405758*o
Let f(s) = -5470205*s. Let x(b) = -2*b. Calculate x(f(v)).
10940410*v
Let b be 6/(-14) - (-17)/7. Let g(x) = -2*x**2 - 2*x**2 + x**b - 6*x**2. Let u(y) = 13*y. Calculate u(g(d)).
-117*d**2
Let x(m) = 623*m. Let f(l) = -18*l**2 - 15*l + 7. Calculate x(f(s)).
-11214*s**2 - 9345*s + 4361
Let x(r) = 3*r**2 - 5*r**2 + 0*r**2. Let z(d) = -22*d**2. Let h(b) = 79*b - 248*b + 88*b - 154*b**2 + 81*b. Let n(m) = 3*h(m) - 22*z(m). Give n(x(j)).
88*j**4
Let q(l) be the second derivative of l**4/3 + 8318*l - 2. Let d(n) = 2538*n**2. Determine d(q(t)).
40608*t**4
Let x(j) = 116*j**2. Let v(h) be the second derivative of h**5/120 - 13*h**3/6 - h**2 + 14*h + 2. Let c(a) be the second derivative of v(a). Give c(x(w)).
116*w**2
Let i(a) = 2*a**2. Let t(s) = 173 + 176 + 191 - 540 + 3954*s**2. Give t(i(w)).
15816*w**4
Let u(x) be the third derivative of 0*x**3 + 47*x + 0 + 1/8*x**4 + 2*x**2. Let w(k) = 10*k**2 + 2*k. Give u(w(v)).
30*v**2 + 6*v
Let n(j) = -20*j. Let m(f) = -f. Let q(g) = -4*m(g) - n(g). Let l(w) be the second derivative of 0 + 1/6*w**3 + 0*w**2 - 15*w. What is q(l(p))?
24*p
Let q(u) = -4*u**2. Let s be (-1)/(8/252)*2 + 1. Let m = -60 - s. Let a(r) = -30*r**2 + 0*r + 0*r + 18*r**m. What is a(q(o))?
-192*o**4
Let j(r) = -2*r + 12 + 10 - 21. Let p(d) = 35*d + 15. Let f(z) = -15*j(z) + p(z). Let o(l) = 2*l**2. Calculate o(f(x)).
8450*x**2
Let l(x) = -11*x. Let f(z) = 13*z - 42. Suppose -41*p = -36*p - 75. Let s be f(p). Let n(w) = -s*w + 293*w - 145*w. Calculate l(n(j)).
55*j
Let g(h) = 0*h**2 + 16*h**2 + 10*h**2 + 4*h**2 - 35*h**2. Let o(v) = -26*v - 3. Determine g(o(p)).
-3380*p**2 - 780*p - 45
Let p(i) be the third derivative of i**5/60 + 3411*i**2. Let f(g) = 109*g**2 + 2. Calculate f(p(j)).
109*j**4 + 2
Let t(g) = 55*g - 61*g + 21*g. Let d(z) be the first derivative of z**3 + 17. Determine t(d(r)).
45*r**2
Let n(p) = 2*p**2. Let l(h) be the third derivative of 10363*h**4/24 - 104*h**2 - 24*h. What is n(l(o))?
214783538*o**2
Let t(l) = -1677408*l. Let g(i) = -47*i. Give g(t(a)).
78838176*a
Let o(q) = 2*q**2 + 262*q - 104. Let s(x) = 6*x. Give o(s(y)).
72*y**2 + 1572*y - 104
Let u(r) = 573*r. Let w(g) = 17154*g**2. Give u(w(b)).
9829242*b**2
Let w(d) = -2*d + 9956. Let i(p) = -115*p**2. What is w(i(n))?
230*n**2 + 9956
Let c(o) = 642*o**2. Let b(x) = -473109*x. Calculate c(b(m)).
143700224815602*m**2
Let c(d) = 384*d - 1 + 1 - 196*d - 190*d. Let f(u) = -2. Let x(m) = -14*m - 28. Let i(r) = 70*f(r) - 5*x(r). Determine i(c(p)).
-140*p
Let m(o) = -2*o. Let k = 10473 + -10382. Let n(f) = -988*f. Let a be (2 - -1 - 1)*-1. Let l(h) = -22*h. Let g(w) = a*n(w) + k*l(w). Give m(g(r)).
52*r
Let i(k) = 50*k - 9. Let t(j) = -266*j + 48. Let h(v) = -16*i(v) - 3*t(v). Let x(y) = -686*y. Calculate h(x(u)).
1372*u
Let i(p) = p**2. Let k(z) = -8*z + 85*z + 273*z - 33*z + 53*z. Determine i(k(a)).
136900*a**2
Let j(r) = 8*r - 10. Let v(y) = 26*y - 32. Let l(p) = 16*j(p) - 5*v(p). Let h(n) = -17*n**2 + 12. Determine h(l(c)).
-68*c**2 + 12
Let q(j) = -308*j**2. Let v(x) = 11*x - 17. Let b(m) = 2*m - 3. Let z be -1 + (-5)/((-5)/7). Let h(s) = z*v(s) - 34*b(s). Calculate h(q(d)).
616*d**2
Let v(f) = 2*f**2. Let y be (4 + -5)*3 - -8. Suppose 0 = -4*h + 2*h + 5*d + 26, 3*h - y = -d. Let l(j) = h*j - 57*j + 11*j. Determine l(v(k)).
-86*k**2
Let a(z) = 11*z - 6. Let x(f) = 415*f - 225. Let h(w) = -75*a(w) + 2*x(w). Let p(g) = 643*g**2. Calculate h(p(b)).
3215*b**2
Let c be -2*((-3 - -8) + -7). Let p be c - (-45)/(-10) - 1/(-2). Let f(m) = m + p*m + m. Let a(h) = 7*h. Determine f(a(v)).
14*v
Let m(y) = 8*y**2. Suppose 220*z - 9*z = 5064. Let v(f) be the third derivative of 0*f**3 + 5/24*f**4 + 0*f - z*f**2 + 0. Give v(m(u)).
40*u**2
Let j(o) = o. Let l(v) = 33*v. Let a(c) = 18*j(c) - l(c). Let q(u) = 19341*u - 9663*u - 9679*u. Give q(a(f)).
15*f
Let d(f) = 377*f. Let q(m) = 9692*m**2. Give d(q(c)).
3653884*c**2
Let c(i) = 0*i**2 + 11*i**2 - 5*i**2 - 15*i**2 + 28*i**2. Let v(h) = 3*h**2 + 18*h - 18. Let m(p) = -p + 1. Let x(r) = -18*m(r) - v(r). Give x(c(u)).
-1083*u**4
Let f = -135 - -137. Let w(r) = -f*r + 10227 - 10227. Let c(b) = 32*b + 1. What is c(w(n))?
-64*n + 1
Let v(b) = 10*b. Let x(p) be the second derivative of -p**5/15 - 5*p**3/6 - 9*p**2/2 - 14*p - 1. Let n(s) be the second derivative of x(s). What is v(n(h))?
-80*h
Suppose -4*u = 12 - 36. Let o(t) = 16*t**2 - 4*t**2 - u*t**2 - 10*t**2. Let d(h) = -5*h**2. Give o(d(i)).
-100*i**4
Let g(w) = -49*w - 50*w - 50*w - 33*w + 44 + 184*w. Let y(z) = -48*z. Give y(g(p)).
-96*p - 2112
Let o(a) = 4*a. Let l(n) = 1189*n**2 + 215*n - 19. Determine o(l(d)).
4756*d**2 + 860*d - 76
Let u(z) = z. Suppose -g - 13 = -18. Let d(r) = 2*r**2 - 9*r + 16. Let w be d(g). Let v(b) = w*b - 2 - 8 + 7 + 7. What is v(u(i))?
21*i + 4
Le | {
"pile_set_name": "DM Mathematics"
} |
(b(f))?
-26*f
Suppose -2*v = 6 - 0. Let t be 1*0*v/9. Let r(s) = -s + t*s + s + 2*s. Let x(a) = -2*a. What is r(x(d))?
-4*d
Let u(a) = 2*a**2. Let d(x) = -38*x**2. Calculate u(d(i)).
2888*i**4
Let b(z) = 5. Let t(c) = -c - 5. Let i(v) = -5*b(v) - 6*t(v). Let m(y) = -5*y - 4. Let j(r) = 4*i(r) + 5*m(r). Let h(u) = -3*u. Give h(j(l)).
3*l
Let p(r) = -16*r**2 + 13*r. Let s(d) = 2*d**2. Determine s(p(u)).
512*u**4 - 832*u**3 + 338*u**2
Let b(r) = -r. Let p(u) = -12*u - 14. Let d be 4 - (5 + -2 + -4). Let z(o) = 4*o + 5. Let n(k) = d*p(k) + 14*z(k). Calculate n(b(s)).
4*s
Let m(f) = 4*f. Let i(l) be the first derivative of l**5/60 + l**2 - 4. Let h(b) be the second derivative of i(b). Calculate h(m(x)).
16*x**2
Let o(n) = -n**2 + 106*n. Let h(t) = -4*t. Calculate o(h(u)).
-16*u**2 - 424*u
Let k(z) be the first derivative of 0*z - 1 + 0*z**2 - 1/3*z**3. Let f(n) = -n**2. Give k(f(m)).
-m**4
Let d(z) = 0*z + 4*z - 3*z - 3*z. Let o(b) = 2*b**2. Determine d(o(m)).
-4*m**2
Let p(g) = -g**2. Let u(q) = q**3 + 5*q**2 + 2*q - 4. Let y be u(-4). Suppose -4*j = y*c - 12, -c + 4*j = 2*j. Let o(x) = x**c - 12 + 12. What is o(p(b))?
b**4
Let v(g) be the third derivative of 7*g**4/24 + 2*g**2. Let y(b) = -8*b. Let i(x) = -6*v(x) - 5*y(x). Let j(o) = 6*o**2. Give i(j(m)).
-12*m**2
Let z(o) = -7*o**2 - 7. Let i(j) = 1. Let p(v) = -7*i(v) - z(v). Let d(t) = 2*t**2. Calculate d(p(u)).
98*u**4
Let s(o) = 2*o + 4. Let t = -4 - -6. Let d(y) = 1 + y + 0*y + t. Let i(f) = -4*d(f) + 3*s(f). Let h(l) = 2*l. Give h(i(j)).
4*j
Let l(q) = -2*q**2. Let k(d) = 18*d**2 + 3. Calculate l(k(f)).
-648*f**4 - 216*f**2 - 18
Let u(g) = -11*g. Let y(z) = 109*z**2. Give u(y(q)).
-1199*q**2
Let b(c) = 14*c. Let g(j) be the first derivative of -j**2/2 - 9. Determine b(g(n)).
-14*n
Let j(r) = -9*r**2. Let g(s) = 798*s**2. Determine j(g(c)).
-5731236*c**4
Let a(q) = -q**2. Let n(g) = -254*g**2. Determine n(a(r)).
-254*r**4
Let j(i) = -4*i**2 - 9. Let q(n) = -5*n. What is j(q(u))?
-100*u**2 - 9
Let l(q) = q**2 - 1. Let d(f) = 19*f**2 + 19. Let r(c) = d(c) + 19*l(c). Let x(i) = 2*i**2. What is r(x(s))?
152*s**4
Let s(w) = -297*w. Let b(t) = -10*t**2. Calculate s(b(y)).
2970*y**2
Let j(u) = -4*u. Let p(d) = 2854*d. Give j(p(y)).
-11416*y
Let r(a) = -119*a**2 + 17*a + 17. Let n(q) = -34*q**2 + 5*q + 5. Let p(f) = -17*n(f) + 5*r(f). Let i(b) = -2*b. What is p(i(c))?
-68*c**2
Let c(x) = 3*x**2. Let m(q) = -q - 5. Let w(n) = n + 7. Let p(l) = 7*m(l) + 5*w(l). Determine c(p(d)).
12*d**2
Let q(i) = -84*i**2 + 3*i + 13. Let s(w) = -2*w. Calculate s(q(t)).
168*t**2 - 6*t - 26
Let g(f) = 186*f. Let a(k) = -3*k. Give a(g(y)).
-558*y
Let m(k) = 3*k. Let l be 3/(-2)*14/(-7). Let v(u) = -l + 3 + 8*u - 7*u. Determine m(v(t)).
3*t
Let u(k) be the second derivative of 0*k**3 + 1/12*k**4 + 0 + 0*k**2 - 2*k. Let v(q) = -q + 0*q + 2*q. Calculate u(v(i)).
i**2
Let q(m) = 2*m**2. Let w(v) = -114*v. Give w(q(s)).
-228*s**2
Let m = -13 - -13. Let l(j) = m*j - 2*j + j. Let p(g) = g. Determine p(l(d)).
-d
Let i(t) = 3*t. Let v(p) = -325*p**2 + 3*p + 3. Determine i(v(c)).
-975*c**2 + 9*c + 9
Let s(y) = 44*y**2. Let v(o) = -32*o + 1. Determine v(s(m)).
-1408*m**2 + 1
Let l(y) = 331*y + 4. Let i(d) = d. Determine i(l(n)).
331*n + 4
Let b(z) = z. Let p(h) = 1251*h. Determine b(p(x)).
1251*x
Let k(h) = -h. Let y(o) = 4*o**2. Let b(u) = u**2. Let q(f) = -26*b(f) + 6*y(f). Give q(k(s)).
-2*s**2
Let a(f) = 18*f - 2*f**2 + 19*f - 37*f. Let g(b) = 10*b. What is g(a(k))?
-20*k**2
Let p(a) = -7*a. Let m(b) = -7*b + 6. Let o(s) = -s + 1. Let t(q) = -m(q) + 6*o(q). Determine p(t(v)).
-7*v
Let k(z) = -6*z**2 - 22. Let a(b) = -36*b**2. Calculate k(a(q)).
-7776*q**4 - 22
Let d(q) = -10*q**2. Let k(r) = -758*r. What is d(k(m))?
-5745640*m**2
Let h(s) be the second derivative of -s**4/4 + s. Let i be 6/27 - (-100)/36. Let n(k) = 5*k**2 - i*k**2 + k**2 - k**2. Give h(n(x)).
-12*x**4
Let f(g) = -2*g**2. Suppose m + 8 = 5*l + 2*m, -m + 3 = 0. Suppose 7 - l = 3*s. Let z(k) = s*k + k - k. Calculate z(f(u)).
-4*u**2
Let r(j) = j. Let v be 6/27 + (-51)/270. Let f(o) be the third derivative of v*o**5 + 0*o**4 + 0 - o**2 + 0*o + 0*o**3. What is f(r(n))?
2*n**2
Let i(t) = 2*t**2. Let p(j) = -94*j. Determine p(i(c)).
-188*c**2
Let n(p) be the third derivative of p**5/30 + 7*p**2. Let k be -2 + (3 - (1 + 0)). Let l(m) = 2*m + k*m + 0*m. Give l(n(x)).
4*x**2
Let v = -16 + 18. Let o(y) = v - 3 + 1 + y. Let n(q) = 3*q. Determine n(o(j)).
3*j
Let t(d) = 2*d. Let s(q) = 2*q + 5. What is s(t(k))?
4*k + 5
Let k(d) be the first derivative of -2*d**2 + 2. Let o(y) = -y**2 - y - 1. Let s(i) = 6*i**2 + 5*i + 5. Let l(p) = -10*o(p) - 2*s(p). Calculate k(l(x)).
8*x**2
Let i(b) = b - 5. Let a(l) = -2*l**2. Give a(i(q)).
-2*q**2 + 20*q - 50
Let j(c) = -7*c. Let a(v) = -14*v**2. Give a(j(i)).
-686*i**2
Let w(p) = -5251*p. Let a(s) = s**2. Give w(a(g)).
-5251*g**2
Let a(h) = -4056*h**2. Let o(u) = -u**2. Calculate a(o(g)).
-4056*g**4
Let z(b) be the third derivative of -b**4/12 - 7*b**2. Let c(j) = 14*j**2. Give z(c(y)).
-28*y**2
Let f(n) be the third derivative of 19*n**4/24 + 9*n**2. Let z(b) = -2*b. What is z(f(t))?
-38*t
Let g(f) = -2*f**2 + 137. Let l(n) = 32*n. Give l(g(u)).
-64*u**2 + 4384
Let m(q) be the first derivative of 3/2*q**2 + 0*q - 1. Let n(r) = 2*r. What is n(m(d))?
6*d
Let d(w) = w + 9. Let h be d(-4). Let a(n) = 4*n**2 + 5*n**2 - h*n**2. Let y(c) be the first derivative of -c**2/2 + 2. Give a(y(l)).
4*l**2
Let n(a) = 23*a**2. Let u(m) = -32*m**2. What is n(u(v))?
23552*v**4
Let w(n) = -23*n. Let u(o) = 117*o**2. Determine u(w(y)).
61893*y**2
Let k(l) be the third derivative of -l**8/20160 + l**5/60 + 8*l**2. Let c(s) be the third derivative of k(s). Let n(p) = 8*p. Give c(n(x)).
-64*x**2
Let t(g) = g**2 + 0*g**2 + 3*g**2 - 8*g**2. Let m(y) = 10*y - 12. Let f(z) = z - 1. Let i(w) = -12*f(w) + m(w). What is t(i(s))?
-16*s**2
Let v = 7 - 8. Let d be (-20)/(-4) - (4 + v). Let a(o) = 4*o**d + 4 - 6*o**2 - 4. Let i(g) = 3*g**2. Give a(i(j)).
-18*j**4
Let a(b) = -b**2. Let o(k) be the second derivative of 13*k**3/2 - 15*k. What is o(a(r))?
-39*r**2
Let l(i) = -241*i. Let r(f) = 2*f. What is l(r(s))?
-482*s
Let f be (4/(-3))/(4/(-78)). Let k(w) = 4*w. Let p(h) = 17*h. Let o(q) = f*k(q) - 6*p(q). Let a(s) = 3*s**2. Calculate o(a(c)).
6*c**2
Let a(v) = -7*v + 95. Let m(s) = -3*s. Calculate a(m(t)).
21*t + 95
Let f(q) be the second derivative of -q**4/6 + q. Let j(w) = 18*w**2 - 35*w**2 + 16*w**2. Give j(f(v)).
-4*v**4
Let t(s) = 13 + 3*s**2 - 4*s**2 - 13. Let l(k) = -3*k. Determine t(l(b)).
-9*b**2
Let n(a) = -a**2. Let d(q) = -2*q - 2. Give d(n(s)).
2*s**2 - 2
Let x(d) = -d**3 + 7*d**2 - 5*d - 4. Let y be x(6). Suppose -y*k - 3*m - 3 = 8, 3*k - 4*m = 26. Let g(z) = -k*z + 4*z + 0*z. Let b(s) = -5*s. What is g(b(p))?
-10*p
Let a(c) = -5*c. Let f(j) = -27*j**2. Determine f(a(u)).
-675*u**2
Let b(v) = -2*v**2. Let k(w) = -1122*w**2. Determine b(k(q)).
-2517768*q**4
Let b(h) = -3*h. Let v(w) = -4*w - 8. Give v(b(s)).
12*s - 8
Let b(v) = -36*v. Let t(i) = 10*i**2 - 9*i**2 - 2*i + 2*i. Determine t(b(g)).
1296*g**2
Let t(r) = -r. Let l(n) = 70*n + 32. What is t(l(g))?
-70*g - 32
Let t(v) = -6*v**2. Let y(g) = 11*g**2. Calculate y(t(m)).
396*m**4
Let z(m) = -43*m**2 + 21*m**2 + 20*m**2. Let t(o) = -23*o. Determine z(t(c)).
-1058*c**2
Let b(k) = -7*k - 5. Let n(s) = 4*s + 3. Let a(r) = -3*b(r) - 5*n(r). Let y(v) be the first derivative of 2*v**3/3 - 2. Calculate y(a(u)).
2*u**2
Let o(z) be the second derivative of -z + 3*z - 4*z - z**3. Let l(q) = 2*q**2. Calculate l(o(i)).
72*i**2
Let x(o) = -301*o**2. Let u(c) = -c. Calculate x(u(t)).
-301*t**2
Let v(o) = 52*o + 3. Let d(a) = -4*a. What is v(d(y))?
-208*y + 3
Let m(c) = -c**3 + 5*c**2 - 3*c - 3. Let j be m(4). Let p(t) = 3*t**2 + 1 - j. Let l(r) be the second derivative of -r**4/6 + r. Give l(p(a)).
-18*a**4
Let j be -1 + (-1)/((-2)/4). Let d(y) = y - j + 1. Let q(w) = -14*w. What is q(d(b))?
-14*b
Let k(j) = 5*j. Let p(x) = x + 9. Let t be p(-9). Let h(u) = t - 2*u**2 + 1 - 1. Give h(k(r)).
-50*r**2
Let h be (2/2)/((-3)/6). Let g = 3 - h. Let a(q) = 5 - 3*q - q - g. Let o(b) = -b. What is a(o(r))?
4*r
Let b(c) = -3*c**2 - 27. Let s(x) = 16*x. Determine b(s(j)).
-768*j**2 - 27
Let l(j) = -4*j. Let x(f) = -1 | {
"pile_set_name": "DM Mathematics"
} |
-11/17, 11, 2/13.
-4, -11/17, 2/13, 3/2, 3, 11
Put -13, 0, 3, -14, -2, 4 in descending order.
4, 3, 0, -2, -13, -14
Put -61, 1, 40, -5, -2 in decreasing order.
40, 1, -2, -5, -61
Put 1/6, -338, -6, 0.2 in descending order.
0.2, 1/6, -6, -338
Sort -3, 47, 26, 3 in decreasing order.
47, 26, 3, -3
Put -30, 270, 3, -5 in descending order.
270, 3, -5, -30
Put 5, -1141, 21 in increasing order.
-1141, 5, 21
Put -492, -2/5, 3, -5, 0.5, -1/4 in ascending order.
-492, -5, -2/5, -1/4, 0.5, 3
Sort 0.2, 18/19, -0.9, -1.4.
-1.4, -0.9, 0.2, 18/19
Put -5, -9, -6/5, -4, 358, 2/11 in descending order.
358, 2/11, -6/5, -4, -5, -9
Sort 53, 0.4, 319 in increasing order.
0.4, 53, 319
Put -3, -1, -880, -4 in increasing order.
-880, -4, -3, -1
Put 1/2, 2/11, 1/32, 17/8 in descending order.
17/8, 1/2, 2/11, 1/32
Sort -3/4, -2.5, 0.7, -0.124, 2/3 in increasing order.
-2.5, -3/4, -0.124, 2/3, 0.7
Put -4, 0.01, 1/10, -1/3 in decreasing order.
1/10, 0.01, -1/3, -4
Sort 0.62, -29, 46, -2, 3/5, -0.01 in descending order.
46, 0.62, 3/5, -0.01, -2, -29
Put 6, 1/4, 97.8 in decreasing order.
97.8, 6, 1/4
Sort -3, 7, 0, -128.
-128, -3, 0, 7
Sort 12159, 0, -3, 4, -4, 1.
-4, -3, 0, 1, 4, 12159
Put 27, -0.01, 2, 3/2, 0.4 in decreasing order.
27, 2, 3/2, 0.4, -0.01
Put -29, -4, -1762 in ascending order.
-1762, -29, -4
Put 3, 4, 2, 8565, 5, -4 in increasing order.
-4, 2, 3, 4, 5, 8565
Sort -1, 1/5, -480/49.
-480/49, -1, 1/5
Sort -4337, 3, 1 in ascending order.
-4337, 1, 3
Sort -3, 510, -4, -1 in decreasing order.
510, -1, -3, -4
Sort 369, 66, -3, 4, 0, -4 in descending order.
369, 66, 4, 0, -3, -4
Sort 642, 0.8, 688 in decreasing order.
688, 642, 0.8
Sort 7, -608, 5 in decreasing order.
7, 5, -608
Sort -111, -1, -25, -4 in decreasing order.
-1, -4, -25, -111
Put 459, -4, -24 in descending order.
459, -4, -24
Put 1/13926, 1, 13 in descending order.
13, 1, 1/13926
Put 5, -4, -210, 0, -23 in ascending order.
-210, -23, -4, 0, 5
Sort -0.5, -1/1980, -25 in decreasing order.
-1/1980, -0.5, -25
Sort 4, 5, -12, -44 in decreasing order.
5, 4, -12, -44
Put 0.3, -1, 5, 66652/15 in decreasing order.
66652/15, 5, 0.3, -1
Put -1, -3, 15, 58, 33 in descending order.
58, 33, 15, -1, -3
Put -450, -673, -5 in decreasing order.
-5, -450, -673
Sort -0.4, 0.11, 0.5, 145, 4, 0.4.
-0.4, 0.11, 0.4, 0.5, 4, 145
Sort -4, 184963, 1 in descending order.
184963, 1, -4
Sort 0.5, -0.5, 376/3 in ascending order.
-0.5, 0.5, 376/3
Put -0.1, 0.3, -5, 1.87, -1/3 in ascending order.
-5, -1/3, -0.1, 0.3, 1.87
Sort 1, -4, 595492 in ascending order.
-4, 1, 595492
Put -1/13, -4.81, 0.3 in decreasing order.
0.3, -1/13, -4.81
Put 31.5, 5, 49 in ascending order.
5, 31.5, 49
Put -127, -22, -4, 0 in increasing order.
-127, -22, -4, 0
Sort -2, -1/2, -29768/5 in decreasing order.
-1/2, -2, -29768/5
Put -3/13, -0.6113, -0.02, -1/2 in ascending order.
-0.6113, -1/2, -3/13, -0.02
Sort -18, 3, -16, 40 in decreasing order.
40, 3, -16, -18
Put -1, -3, 13, 21, -0.2 in descending order.
21, 13, -0.2, -1, -3
Sort -3, -16, 2, 107, -4, -2 in increasing order.
-16, -4, -3, -2, 2, 107
Sort 3, -1, -1/7, 22, -3.6.
-3.6, -1, -1/7, 3, 22
Put -2, 2/5, -77/17, -0.05 in descending order.
2/5, -0.05, -2, -77/17
Sort 5, 8, -1/6, -9/2, 6, 0.5 in decreasing order.
8, 6, 5, 0.5, -1/6, -9/2
Sort -0.0513, -5, -0.0374 in decreasing order.
-0.0374, -0.0513, -5
Put 2/21, -0.19, 4, -10, -32 in decreasing order.
4, 2/21, -0.19, -10, -32
Sort 13, 46, -64, 5 in increasing order.
-64, 5, 13, 46
Put -1, -10, -137, -16 in descending order.
-1, -10, -16, -137
Sort -8, 0, 3, -1113, 9 in decreasing order.
9, 3, 0, -8, -1113
Put -7/3, 5, 0.244, 0.4, -5, -1 in descending order.
5, 0.4, 0.244, -1, -7/3, -5
Sort -0.04, -1/3, 1/110, 3 in decreasing order.
3, 1/110, -0.04, -1/3
Sort 4, -4/3, 129.15, 0.1 in increasing order.
-4/3, 0.1, 4, 129.15
Sort -0.5, -29.2, -15, 1/5, 2, -3 in increasing order.
-29.2, -15, -3, -0.5, 1/5, 2
Sort 2, -8, 363, -123 in descending order.
363, 2, -8, -123
Sort -2.1, -14, -7.
-14, -7, -2.1
Sort 5, 2, -248, -40 in decreasing order.
5, 2, -40, -248
Put -14, 0.2, -0.1, 1 in increasing order.
-14, -0.1, 0.2, 1
Put -3, -2, 1, -25, 104 in decreasing order.
104, 1, -2, -3, -25
Put -1, 9/4, 1/2, -0.05, -2/25, 29 in descending order.
29, 9/4, 1/2, -0.05, -2/25, -1
Sort -127, 6, -3, 2 in decreasing order.
6, 2, -3, -127
Sort 1282, 59, -0.5 in descending order.
1282, 59, -0.5
Sort 0.046, -5, 4/11 in descending order.
4/11, 0.046, -5
Put 1164, -11, -0.3 in increasing order.
-11, -0.3, 1164
Sort -38, 10, 1, 602.
-38, 1, 10, 602
Sort -2, -112447, 0 in descending order.
0, -2, -112447
Put -128, 1/5, 55, -2/21 in ascending order.
-128, -2/21, 1/5, 55
Put 1, 32, -2190, -4 in ascending order.
-2190, -4, 1, 32
Sort -2/21, 3.7, 172 in increasing order.
-2/21, 3.7, 172
Sort -2/33029, 5, -13 in increasing order.
-13, -2/33029, 5
Put -2, 11, -547, 4, 5 in increasing order.
-547, -2, 4, 5, 11
Sort -38, 4, 10, 2, 3 in increasing order.
-38, 2, 3, 4, 10
Sort 5, -5, -4, -1/5, 1406 in ascending order.
-5, -4, -1/5, 5, 1406
Sort 3, -0.7, 0, -2.06, -1/3.
-2.06, -0.7, -1/3, 0, 3
Sort -1/1079, -2, -1 in descending order.
-1/1079, -1, -2
Sort 1, 43, -4, 4 in ascending order.
-4, 1, 4, 43
Sort -3, -1, 0.4, 2/339, 1/6 in ascending order.
-3, -1, 2/339, 1/6, 0.4
Sort -0.3, -0.158, -2, 0.097.
-2, -0.3, -0.158, 0.097
Sort 1, 14, 176 in decreasing order.
176, 14, 1
Sort 3, 4, -5, -4, 15, -117 in ascending order.
-117, -5, -4, 3, 4, 15
Sort -33285, -4, 3 in increasing order.
-33285, -4, 3
Sort -5, 7, 57, -4, -1 in descending order.
57, 7, -1, -4, -5
Sort -4, 187, -15, -2, 6 in decreasing order.
187, 6, -2, -4, -15
Put 0.2, -1, -4, 2/9, -2/3 in increasing order.
-4, -1, -2/3, 0.2, 2/9
Put 8385, -2, -18, 5 in descending order.
8385, 5, -2, -18
Put 164087, 4, 0, 6, -5 in increasing order.
-5, 0, 4, 6, 164087
Put -2, -15, 21, -57, -1 in decreasing order.
21, -1, -2, -15, -57
Put -5, 2, 9, 4, -34 in decreasing order.
9, 4, 2, -5, -34
Sort -1, 271, 3, -22 in ascending order.
-22, -1, 3, 271
Sort -5, 20, 0, -29/178 in decreasing order.
20, 0, -29/178, -5
Put -620, 102, 1 in decreasing order.
102, 1, -620
Sort -1, 4162, -72, 0, 2 in decreasing order.
4162, 2, 0, -1, -72
Sort 0.42, -0.1, -308.
-308, -0.1, 0.42
Sort -156, 3, -4220.
-4220, -156, 3
Sort -4, 0, 4, 3, 27, 188 in ascending order.
-4, 0, 3, 4, 27, 188
Sort 705, -5, 0.4, -0.1, 2/13, 0.2.
-5, -0.1, 2/13, 0.2, 0.4, 705
Put 4, 6.13, -3/14, 6 in increasing order.
-3/14, 4, 6, 6.13
Put 1623, -48, 4 in descending order.
1623, 4, -48
Put 2/81469, 0.2, -50, 4 in ascending order.
-50, 2/81469, 0.2, 4
Sort -52/3, -25, -3/10, 0.04, -2 in descending order.
0.04, -3/10, -2, -52/3, -25
Sort 157563, 14, -1.
-1, 14, 157563
Sort -0.5, -0.3, 140, -4.
-4, -0.5, -0.3, 140
Sort 4, 0, -67, 635, -1 in decreasing order.
635, 4, 0, -1, -67
Sort 3, -1084, -1, 2 in descending order.
3, 2, -1, -1084
Sort 1, -6, -11, -0.2, -2.9.
-11, -6, -2.9, -0.2, 1
Sort 8, -22, 0, 10 in increasing order.
-22, 0, 8, 10
Put 11, -2, 2, -0.4, 0.07, 0.5 in decreasing order.
11, 2, 0.5, 0.07, -0.4, -2
Put -5, -6, 0.13 in descending order.
0.13, -5, -6
Sort 3, -867, -5, -4, -20 in increasing order.
-867, -20, -5, -4, 3
Sort -5, -4, -9, -3/4, 202, 4 in descending order.
202, 4, -3/4, -4, -5, -9
Sort 2/7, -1/2, -61, 2/5, -2, 9 in decreasing order.
9, 2/5, 2/7, -1/2, -2, -61
Sort -76, 20, 0, -33 in descending order.
20, 0, -33, -76
Sort 2/5, 5585, -3, -5/2, 4.
-3, -5/2, 2/5, 4, 5585
Put -4, 0, 32, -133 in ascending order.
-133, -4, 0, 32
Put -0.2, 0.3, -134, 0.8, -2/5 in increasing order.
-134, -2/5, -0.2, 0.3, 0.8
Sort 1/37, 121, 11, 0 in ascending order.
0, 1/37, 11, 121
Put 1/3, 0.3, -7, -0.1, -0.462 in decreasing order.
1/3, 0.3, -0.1, -0.462, -7
Put 3, -7, 0.11, -0.1, 5, 254 in ascending order.
-7, -0.1, 0.11, 3, 5, 254
Sort 5, -2730, -3, 1 in ascending order.
-2730, -3, 1, 5
Sort 0, 1, 5992, 5, -3 in ascending order.
-3, 0, 1, 5, 5992
Sort 0.3, 3/4, -4/3, 0.5, -13/2325 in decreasing order.
3/4, 0.5, 0.3, -13/2325, -4/3
Put -2.3, -139, 1 in increasing order.
-139, -2.3, 1
Sort 5, 16, -1, 4, 2 in decreasing order.
16, 5, 4, 2, -1
Put 4, 1, 2, -2, 22 in decreasing order.
22, 4, 2, 1, -2
Sort -0.1, 2, 4, -3163, 0 in ascending order.
-3163, -0.1, 0, 2, 4
Put -3/2, -2, 224, 118 in | {
"pile_set_name": "DM Mathematics"
} |
= -13 + 13.000006. Round d to six dps.
0.000006
Let g = -2.527 + -1.089. Let b = g - -3.7. Let c = b - 0.035. Round c to 2 decimal places.
0.05
Let s = 232.51897385 - 215.518973. Let v = s - 17. What is v rounded to seven decimal places?
0.0000009
Let c(o) = o**3 - 5*o**2 + 5*o - 3. Let s = 10 - 7. Let n be c(s). Round n to the nearest 10.
-10
Suppose g + 3*y - 118 = 0, 8 + 17 = 5*y. What is g rounded to the nearest ten?
100
Let n(a) = 3*a**2 - 59*a**3 - 2*a**2 - 17*a**3 + 5 - 5*a. Let l be n(5). Let c = l + 5395. What is c rounded to the nearest one thousand?
-4000
Let u = -7.5 - -7.499879. What is u rounded to five decimal places?
-0.00012
Let l(u) = 6801*u - 1. Let g = 0 - 3. Let d be (2/2)/(g - -4). Let x be l(d). Round x to the nearest 1000.
7000
Let f = 1 + -2. Let l be 6/(-4)*(f + -3). Let d be (4000/3)/((-1)/l). Round d to the nearest one thousand.
-8000
Let n = 0.1421718 + 1.8577852. Let h = n + -2. Round h to five decimal places.
-0.00004
Suppose 0*w + 11070 = -4*h + 5*w, 5*h + w = -13852. What is h rounded to the nearest one hundred?
-2800
Suppose 0 = 4*z - 21857 - 8983. What is z rounded to the nearest 100?
7700
Suppose -g = -2*g. Suppose f + 4*f - 2*n + 11500006 = g, 9 = 3*n. What is f rounded to the nearest 1000000?
-2000000
Let a = -168419822 + 108119822. Round a to the nearest one million.
-60000000
Let j = 3 + -5. Let v be -111002 + j + 2 - -2. Round v to the nearest ten thousand.
-110000
Suppose -5*n + 4 + 6 = 0. Let b be (-599986)/6 + n/3. Let f be (3 + 0 - b)*-4. Round f to the nearest 100000.
-400000
Let k = -13 - -18. Suppose 2*n - k*z - 28144 - 33876 = 0, -2*n = 4*z - 61984. Round n to the nearest ten thousand.
30000
Let o = 518 - 368. Let n = -2010 + o. Round n to the nearest one hundred.
-1900
Suppose -4*q + q = -9. Suppose q*l = l - 1420. Round l to the nearest one hundred.
-700
Let h = 0.029 + -0.0335. Round h to 3 dps.
-0.005
Let b = 37.3 - 30.14. Let w = -8.8 + b. What is w rounded to one dp?
-1.6
Let x = -2908 + 2926.91. Let w = -0.09 - x. Let z = w - -19.0000045. What is z rounded to 6 dps?
0.000005
Let u = -14.987 + 15. What is u rounded to two dps?
0.01
Let g(r) = -r**3 + 8*r**2 + 12*r + 10. Let d be g(-11). Suppose -d - 223 = j. Round j to the nearest 1000.
-2000
Let i(m) = -370369*m**3 - 5*m**2 + 4*m - 4. Let b be i(3). What is b rounded to the nearest 1000000?
-10000000
Let t(r) = -3667*r - 2. Let s(x) = -x**3 - 3*x**2 - 4*x - 2. Let u be s(-3). Let z = u + -16. Let n be t(z). What is n rounded to the nearest ten thousand?
20000
Let s = 186 + -550. Let i be 4/(-14) - (-2292)/(-14). Let p = i - s. Round p to the nearest 1000.
0
Let h = -0.29999962 - -0.3. What is h rounded to seven dps?
0.0000004
Let f = 28.982 + 0.018. Let z = f + -31.7. What is z rounded to 0 decimal places?
-3
Suppose 5 = -2*u + 7. Let k be (u - 4) + -304 - -4. What is k rounded to the nearest ten?
-300
Let y = -2195.2744 + 0.2744. Let t = -2194.80004 - y. Let u = -0.2 + t. What is u rounded to 5 dps?
-0.00004
Let r(h) be the third derivative of -1/30*h**5 + 0*h**3 + 2*h**2 + 0*h - 1/4*h**4 + 0. Let x be r(-5). Round x to the nearest 10.
-20
Suppose 10*m + 180000 = 7*m. Round m to the nearest 100000.
-100000
Let g(a) = -2*a - 9. Let c be g(-6). Let k(j) = -2*j**2 + 0*j + 2*j + 988*j**3 - 2 + 494*j**c. Let q be k(3). Round q to the nearest 100000.
0
Let d = -0.415 - -0.3943. What is d rounded to two decimal places?
-0.02
Let v = 163.0548 + -163. Let a = -0.06 + v. What is a rounded to three dps?
-0.005
Let y = 2.5 - 3. Let d = y + 0.2. Let c = -0.300053 - d. What is c rounded to 5 decimal places?
-0.00005
Let u(a) = -a + 16. Let q be u(8). Round q to the nearest 10.
10
Let a(k) = 3*k + 5. Let r be a(5). Round r to the nearest 10.
20
Let v(k) = 95*k + 13 - 101*k + 423*k**2 + 3. Let d be v(-12). What is d rounded to the nearest 10000?
60000
Let p = 51 - 139. Let q = p - -221. Let f = q - 133.0122. Round f to 3 decimal places.
-0.012
Let a = -7 - -7.08. Let y = a - 0.0799904. What is y rounded to 6 dps?
0.00001
Let q(b) = 49999*b - 2. Let w be q(-2). What is w rounded to the nearest 10000?
-100000
Let s = 11.9 - 7. What is s rounded to the nearest integer?
5
Suppose -2*f + 5589 - 889 = 0. Suppose -10 = -3*q + 5. Suppose 0*l - q*l = f. Round l to the nearest 100.
-500
Let v(u) = 6999997*u**2 - 3*u + 2. Let y be v(2). Suppose 0 = -5*r - 2*f - 27999992, r + 4*r + 4*f + y = 0. What is r rounded to the nearest one million?
-6000000
Let m = -8.764 - 0.036. What is m rounded to 0 dps?
-9
Let s = 0.8 + -0.8000106. Round s to 6 dps.
-0.000011
Suppose 4*d - 3*d - 16600015 = 0. Suppose 2*k = -5*h + d, -2*k - 4*h = -0*k - 16600012. Round k to the nearest 1000000.
8000000
Suppose -g - 128611 = 16389. Round g to the nearest ten thousand.
-150000
Let t = -42.66 - -43. Round t to one decimal place.
0.3
Let k = -211.4017288 + 211.4. Let c = k + 0.601734. Let x = -0.6 + c. What is x rounded to six decimal places?
0.000005
Suppose -5*j - 7424390 = -35055305. Suppose 4*n - 26473817 - j = 0. What is n rounded to the nearest one million?
8000000
Let a = 5.91 - 1.01. Let l = 2.8 - a. Let z = 2.0999931 + l. What is z rounded to 6 decimal places?
-0.000007
Let k(c) = c - 2. Let g be k(4). Let l(r) = -3 + 0 + 0*r - 3*r - g*r**2. Let x be l(5). Round x to the nearest ten.
-70
Let g(y) = 307*y**3 + 2*y**2 - 5. Let s be g(5). Suppose w + 55260 = -2*w. Let z = s + w. What is z rounded to the nearest one hundred thousand?
0
Let g = -19.966 - 0.034. Let v = g + 19.17. What is v rounded to one decimal place?
-0.8
Let o = -5.359 + 0.059. Let p = o - -0.8. Let j = p + 2.2. What is j rounded to 0 decimal places?
-2
Let s = -0.0255559234 - 40.9744482766. Let g = s + 41. What is g rounded to six decimal places?
-0.000004
Let h = -26 - -16. Let x be 63005/h + 2/4. Round x to the nearest 1000.
-6000
Let x be ((-6)/4)/((-6)/28). Round x to the nearest integer.
7
Let v = -72.00000094 - -72. Round v to 7 decimal places.
-0.0000009
Let b = -46.941 - 0.059. Let m = -48.24 - b. Round m to 1 dp.
-1.2
Let c(y) = y**3 + 16*y**2 + 10*y - 5. Let f be c(-11). Suppose 0 = 2*k + 2690 - f. What is k rounded to the nearest 1000?
-1000
Suppose -3*r = -r - 5*q + 14470703, -4*r = q + 28941395. Let v = 1251080 - -684269. Let s = r + v. Round s to the nearest one million.
-5000000
Let c = -391.99049 + 391.56048981. Let v = c + 0.43. Round v to seven dps.
-0.0000002
Let n = -201307.84059 + 201307. Let j = -0.84 - n. What is j rounded to four decimal places?
0.0006
Let n = 277.9681 - 0.9281. Let x = 277.023941 - n. Let m = x - -0.016. Round m to five decimal places.
-0.00006
Let a = -4 + 10. Let o = a + -5.84. What is o rounded to 2 decimal places?
0.16
Let l = 60.76 + 15.86. Let t = l + -76. Round t to one dp.
0.6
Let m = -555 - -1052. Let o = -496.743 + m. Round o to two decimal places.
0.26
Let g = 25 + -24.987. Let o = g - -90.987. Let w = o + -91.0000053. What is w rounded to six decimal places?
-0.000005
Let f = 0.252 + -0.24. What is f rounded to three dps?
0.012
Let i = -71 + 142. Let p = i - 32. Suppose 3*b - 114 + p = -3*k, 125 = 5*b - k. Round b to the nearest ten.
30
Let o(m) = -12*m**3 - 2*m. Let h be o(2). What is h rounded to the nearest 1000?
0
Let d = 0.07 + -0.29. What is d rounded to one decimal place?
-0.2
Let u = 12 + -15. Let h = u - -0.5. What is h rounded to one decimal place?
-2.5
Let i = 1 - 2. Let l be i/((-3)/(-1467)) + -1. Round l to the nearest one hundred.
-500
Let d = -875.1162 - -875. Let b = -0.12 - d. Round b to 3 decimal places.
-0.004
Let s = -304.5 - -304.2693. Let g = 0.219 + s. What is g rounded to 3 dps?
-0.012
Let v = -460.7 + 429. Let h = 1.7 + v. Let x = 29.966 + h. What is x rounded to two decimal places?
-0.03
Let y = -6 + 5.9999935. What is y rounded to 6 decimal places?
-0.000007
Let u be (-8)/(-5) - (-4)/10. Suppose 2*t = u*r + 4, 3*t - 14 = 5*r - t. Let w be (-265)/3 + r/9. What is w rounded to the nearest 10?
-90
Let i = 0.400001 + -0.4. What is i rounded to 7 dps?
0.000001
Let n(s) = -475001*s**2 - 2*s. Let k(y) = y**2 + 5*y - 6. Let i be k(-6). Suppose i*p - p = 2. Let h be n(p). What is h rounded to the nearest one million?
-2000000
Let w(r) = r**2 + 4*r + 6. Let f be (1/3)/((-3)/(-54)). Let k be w(f). Suppose d - k = -586. Round d to the nearest | {
"pile_set_name": "DM Mathematics"
} |
1 + 1158. What is the nearest to h in f, -4/7, 1.4?
-4/7
Let w = -14.2 + 26.9. Let n = w - 12.9. What is the nearest to 35 in 0.5, n, -1/3?
0.5
Suppose 10 = 154*m + 2 + 8. Let i = -0.6 + 1. Which is the closest to m? (a) i (b) -1 (c) 0
c
Let i = 3/10 + -29/5. What is the closest to -1 in 5, i, 2/13?
2/13
Let n = -14.7 - -14. Let q = -0.2 - n. Let b(y) = -y**3 + 11*y**2 - 5. Let d be b(11). What is the nearest to 2/5 in -2/5, q, d?
q
Let j = -2.158 - -0.158. What is the nearest to -2 in -3, 2, j?
j
Suppose -26*y = -33*y. Suppose -4*o = -8*o. What is the closest to o in y, -1/5, 0.5?
y
Let f be (71/284)/(46/(-16) + 2). What is the closest to f in -14, 1/5, -4/3?
1/5
Let n = 4 + -37. Let m = 33.4 + n. Let d = 5 + 0. Which is the nearest to -0.1? (a) m (b) d (c) -4
a
Let h = -75.8 + -0.2. Let n = h + 76. What is the closest to -1 in 0.4, n, -0.1?
-0.1
Let g be (-452)/(-20) + -3 - 0. Let w = 296/15 - g. What is the closest to 2/3 in -2/9, w, 1/2?
1/2
Let v be ((-156)/42 - -4)*-1. What is the closest to 0.1 in 0.8, 1, v?
v
Suppose 0 = -3*k + 5*f - 31, 4*k + 52 = 2*f + 20. Which is the closest to 3/2? (a) 1 (b) k (c) -2/7
a
Let r = -1.1 - -0.8. Let b = 0.1 - r. Let p(q) = 3*q + 25. Let k be p(-9). What is the closest to -4/7 in 0.2, k, b?
0.2
Let p = -22 + 22.1. Let l be (-340)/160 + (-2)/(-16). What is the closest to p in l, 7, 2?
2
Let s(w) = w - 4. Let y be s(3). Let c = -1549/15 - -102. Let n = c + 239/165. What is the nearest to 0.3 in -4/5, n, y?
n
Let i = -93 - -46. Let o = i + 45. Let v be (-4)/(-10)*10/3. Which is the closest to o? (a) -1 (b) 5 (c) v
a
Let w(t) = t**2 - 15*t + 23. Let h be w(13). Which is the closest to 1? (a) h (b) -1/2 (c) 2/3
c
Let l = -637457357/3438 + 3336433/18. Let z = l - -22/191. Let u = z - -57. Which is the nearest to u? (a) 0 (b) -3 (c) -2
a
Let j = -6142/7 - -878. What is the nearest to -4 in j, 0.3, 0.01?
0.01
Let l = -22.965 + -0.035. Let r = 23.052 - 0.052. Let x = r + l. What is the closest to -0.1 in x, -0.4, -3/8?
x
Let i = -108.58 - -108. Let g = i - -0.98. Which is the closest to -1/3? (a) -2/3 (b) g (c) -5/4
a
Let o = -2/763 - -2305/6104. Let r = -145 - -52. Let j = r + 467/5. Which is the closest to -0.1? (a) j (b) o (c) 5
b
Let f be (-4)/(-6) + (-8)/66. Let k = -43 + -61. Let w = 100 + k. Which is the closest to 0? (a) -1/3 (b) w (c) f
a
Suppose -7*w + 103 = -142. Let t be -6*(w/10 + -4). Which is the nearest to -1? (a) 1 (b) t (c) -0.3
c
Let x = -4289 + 4289.1. Suppose q + 2*s = -13, 4*q + 3*s = 6*s - 8. Which is the nearest to x? (a) q (b) -0.3 (c) -2/17
c
Let v = -1/208 + -311/208. Let x be (((-12)/8)/3)/(6/(-4)). What is the nearest to 0.3 in v, x, 5?
x
Let g be 10*-1*(-24)/(-30). Let r be (2/10)/(-1*(-4)/g). Which is the nearest to r? (a) -5 (b) 5 (c) 4
c
Let j = 1.05 + 0.15. Let l = j - 1.29. Let q = l - -1.09. Which is the closest to -1? (a) q (b) 2/5 (c) 1/5
c
Let t be (-84)/(-36) - ((1 - 0) + -2). What is the closest to t in 3, 0.5, -2?
3
Let t = 529/6 + -177/2. Which is the nearest to -0.2? (a) t (b) -2/15 (c) 1
b
Let l = 75.5 + -75.4. What is the closest to 0.3 in -4, l, 8, -1/7?
l
Let l be (-4)/((-304)/(-168) + 1/(-7)). Which is the closest to -1? (a) l (b) 0.5 (c) 1/4 (d) 0.2
d
Let i = 351 - 351.3. What is the closest to i in -0.5, 0, -1?
-0.5
Let z = 703 - 1409/2. Let h = 69441/5 + -13942. Let j = h + 54. Which is the nearest to -0.1? (a) z (b) -3 (c) j
c
Suppose 4*h + 2 - 10 = 0. Let n = 4 + -3. Let o = -10 + 15. Which is the nearest to n? (a) o (b) 2/5 (c) h
b
Let m = 0.8 + -2.4. Let u = m - 1. Let r = u - 0.4. Which is the nearest to 0.1? (a) r (b) -0.2 (c) 0.1
c
Let n = 491 - 487. Which is the nearest to n? (a) 2/19 (b) 1/6 (c) 2/5
c
Let p = 146 - 146. What is the closest to -0.2 in -0.1, p, 4, 1?
-0.1
Let p = 195.4 - 196. Let y = -0.9 - 0.5. Let x = y + p. Which is the nearest to 0.1? (a) 3/5 (b) x (c) 0.5
c
Let z be (-5)/((-10)/4)*(-33)/22. Which is the closest to 4? (a) -4 (b) 9 (c) 5 (d) z
c
Let w be ((-207)/(-15))/3 + -5. What is the nearest to 3 in w, -2, -1?
w
Let q = -94.4 - -93.8. Which is the nearest to q? (a) 5/4 (b) -11 (c) 2
a
Let m = 55 + -219/4. Suppose u - 2*z = 12, -5*u - 2*z = 3 - 99. Suppose -2 = -4*b + u. What is the nearest to -0.1 in b, 0.4, m?
m
Let k be 10*1*(-2)/4. Let i = -12 + 11.7. Suppose 0*h = -3*p - h - 3, -2 = -5*p - 4*h. What is the closest to i in 1, p, k?
1
Let s = 198 + -190. What is the nearest to -1 in -2, s, 2/9, 4?
-2
Let r = 2572 + -2575. What is the nearest to -1 in 256, 0, r?
0
Let i be (-3)/(-4) - (-2)/(-48)*26. Which is the nearest to i? (a) -0.4 (b) 1 (c) -0.14
a
Let r be (54/5)/6 - (-4)/(-2). Let c = 4 - 6. What is the closest to c in -1/2, 5, r?
-1/2
Let y be 2*-1 - (-10)/3. Let b = 123/28 + -29/7. Let m = 0.27 - 0.77. What is the closest to b in y, m, 2/9?
2/9
Let d = 55.1748 - -0.0252. Let r = d + -55. Which is the nearest to -1/2? (a) -2/35 (b) 3 (c) r
a
Let y be -3*(2 + 120/(-63)). Let h = -6.4 - 43.6. Let r = h + 49.9. Which is the closest to y? (a) 1 (b) r (c) 0.1
b
Let z(n) = n**3 + 13*n**2 + 9*n - 16. Let y be z(-12). Let i be (y/12)/1*2/(-10). What is the closest to 0.2 in -1, i, -0.3?
-0.3
Suppose 2 = j + 3, 2*y + 3*j = 3. Suppose -4*s + 17 = -4*a - 7, -5*s + 22 = -4*a. Let b = y + a. What is the nearest to 1 in -4, -4/3, b?
-4/3
Let g = -0.499 - 0.001. Which is the nearest to 0.1? (a) g (b) 0.5 (c) -3
b
Suppose 0 = -4*m - x - 12, -4*m + 5*x = 2*x + 12. Let g be m/6*(-20)/(-115). Let y = -1300/7 - -186. Which is the nearest to -1/4? (a) 5 (b) g (c) y
b
Let r = 3959/2 - 1979. What is the closest to -2 in r, -119, 2?
r
Let z = 38 - 9. Let x = z + -29. Which is the closest to 0.2? (a) -1 (b) -3 (c) x
c
Let j = 39 + -42. Let l(u) = u**3 - 6*u**2 - 6*u - 6. Let t be l(7). Which is the nearest to t? (a) j (b) -0.5 (c) 2
c
Let k = -0.05 - 0.01. Let o = k + 0.16. Let f = -71 + 641/9. Which is the closest to o? (a) f (b) -0.1 (c) -0.4
a
Let v = -57 + 75. Let i = -17 + v. Suppose 0 = -4*m + 2*m. Which is the closest to 4? (a) -4 (b) i (c) m
b
Let a = 1/35 + -109/140. What is the closest to -3 in 1/8, -5, a?
-5
Let v = 3.016 + -0.016. Which is the nearest to -2/7? (a) -1.3 (b) -5 (c) v (d) -0.4
d
Let z be 30/(-36) - 1/2. Let m = -4 - -50/13. Let v be 1*4/(-10)*-1. Which is the closest to v? (a) m (b) -1 (c) z
a
Let f = 2 - -1. Let u = -80.7 - -114.8. Let z = u - 34. Which is the nearest to 0.1? (a) 5 (b) f (c) z
c
Let a = 1614 - 1614.02. Suppose -3 = -d - 2*d. What is the closest to a in 3/7, d, -1/6?
-1/6
Let u = -60.54 - -60. Let j = 4.46 - u. Let r(x) = x. Let g be r(0). What is the closest to g in j, 0, -0.1?
0
Let u = -945.4 + 945. Let s be (-3)/(3/(-4)) - -1. What is the closest to 4 in -4, s, u?
s
Let q = -13 - -12.9. Let n = -8/165 - -1/33. Let p = n + 169/220. Which is the nearest to q? (a) -4 (b) p (c) -5
b
Let w = 65 + -60. Let q = -104 + 109.05. Let n = q - w. What is the closest to 3 in -3, -5, n?
n
Let w = -44.2 - -52.2. What is the nearest to 1 in 5/4, w, 2/3, -0.5?
5/4
Let z(y) be the second derivative of 3*y**5/20 - y**4/12 + y**3/6 - y**2/2 - 25*y. Let w be z(1). Which is the closest to 1? (a) 1 (b) -3 (c) w
a
Let n = -2.876 + -0.124. Let p = 0.27 + -0.07. Which is the closest to -1? (a) -4/9 (b) n (c) p
a
Let m = 31 + -153/5. Let n = 0 - -1.8. Let i = -0.8 + n. Which is the nearest to 1? (a) i (b) m (c) 0
a
Let y = -897 - -896.76. Which is the nearest to y? (a) 15 (b) 3/2 (c) -2/7
c
Let p = 1.9 - 41.9. Let c = p - -40.1. What is the nearest to -1 in c, 3, 4?
c
Let r = 12255/4 - 3063. Let h = -2 + 3. What is the closest to h in r, 19, -4?
r
Let d = 5 + -4.92. Let l = d - 0.38. Let z = -107 + 104. Which is the nearest to 0.2? (a) -1 (b) l (c) z
b
Let n = 0.66 - -0.34. What is the nearest to 7 in n, 0, 2?
2
Let z = 0.931 + 3.069. Which is the nearest to 0.1? (a) 0.4 (b) 0.7 (c) z (d) -1/11
d
Let t = 781.3 + -719. Let p = -62 + t. Which is the closest to -0.2? (a) -5 (b) -0.2 (c) p
b
Let d = -134.7 - -130.7. What is the nearest to 0.1 in d, -26, 2?
2
Let r = 571/110 - 41/10. Which is the nearest to 2? (a) -2/9 (b) r (c) 2
c
Let z = 2.93 + -2.95. Which is the nearest to 2/3? (a) 1 (b) 2 | {
"pile_set_name": "DM Mathematics"
} |
vuurvvr. What is prob of picking 2 u, 1 v, and 1 r?
1/14
Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {m: 1, d: 1, w: 13}.
13/105
Calculate prob of picking 1 l, 1 h, and 2 g when four letters picked without replacement from {g: 5, l: 2, h: 6}.
24/143
What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 1, k: 3, c: 5, d: 3, f: 6}?
5/153
Two letters picked without replacement from joobebokjkyy. What is prob of picking 1 b and 1 j?
2/33
Calculate prob of picking 2 t when two letters picked without replacement from tttt.
1
Calculate prob of picking 2 e when two letters picked without replacement from fneew.
1/10
Four letters picked without replacement from {l: 1, w: 12, b: 5}. Give prob of picking 1 b and 3 w.
55/153
Three letters picked without replacement from giggaaoaoioiooiaui. Give prob of picking 2 a and 1 g.
3/136
Two letters picked without replacement from {i: 4, b: 4, x: 2, w: 1}. Give prob of picking 1 i and 1 x.
8/55
Calculate prob of picking 1 z and 2 c when three letters picked without replacement from {c: 11, j: 1, z: 3}.
33/91
Four letters picked without replacement from {f: 3, r: 4, p: 1, d: 2}. What is prob of picking 3 r and 1 f?
2/35
What is prob of picking 2 x and 1 r when three letters picked without replacement from {t: 1, r: 2, x: 4, i: 3}?
1/10
Two letters picked without replacement from {l: 1, o: 1, y: 1, i: 2, h: 1, b: 1}. Give prob of picking 2 i.
1/21
Calculate prob of picking 1 x, 1 h, and 1 f when three letters picked without replacement from mxfmhfmm.
1/28
Calculate prob of picking 1 s and 2 x when three letters picked without replacement from {x: 7, e: 2, s: 2, g: 1}.
21/110
Four letters picked without replacement from vvqqqqvqqqvqqqqvqqq. Give prob of picking 3 v and 1 q.
35/969
Calculate prob of picking 1 b and 2 x when three letters picked without replacement from bxxxbbxxxx.
21/40
What is prob of picking 1 d and 1 s when two letters picked without replacement from dsxdxfd?
1/7
What is prob of picking 1 c and 1 n when two letters picked without replacement from {n: 1, c: 1, s: 2, f: 1, o: 1, x: 1}?
1/21
Four letters picked without replacement from {b: 7, n: 6, c: 2}. What is prob of picking 3 n and 1 b?
4/39
What is prob of picking 1 u and 1 a when two letters picked without replacement from {a: 1, i: 1, m: 1, u: 1, o: 1}?
1/10
What is prob of picking 2 e and 1 c when three letters picked without replacement from qqeecqeqccqccqe?
6/91
Two letters picked without replacement from eofyeeeoggeogg. What is prob of picking 2 e?
10/91
Calculate prob of picking 2 l when two letters picked without replacement from {t: 3, l: 4}.
2/7
Three letters picked without replacement from {b: 3, d: 4}. What is prob of picking 3 d?
4/35
What is prob of picking 2 y and 2 g when four letters picked without replacement from pinnipipigygynngnnn?
1/1292
Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {f: 3, h: 6, m: 4, w: 6}.
8/57
Three letters picked without replacement from vvocvov. What is prob of picking 2 v and 1 o?
12/35
Four letters picked without replacement from kakggxkbxkaakk. What is prob of picking 1 b, 2 a, and 1 x?
6/1001
Two letters picked without replacement from ouppuuoppppopupu. What is prob of picking 1 p and 1 o?
1/5
Calculate prob of picking 1 n, 1 v, and 1 x when three letters picked without replacement from {w: 2, h: 2, x: 8, v: 1, n: 1}.
2/91
Four letters picked without replacement from xxxlxxlmll. What is prob of picking 1 m and 3 l?
2/105
Three letters picked without replacement from {o: 12, s: 3}. What is prob of picking 3 s?
1/455
Three letters picked without replacement from {g: 5, e: 7}. What is prob of picking 3 e?
7/44
Three letters picked without replacement from fkcfoyfcoc. Give prob of picking 1 f, 1 o, and 1 y.
1/20
Three letters picked without replacement from ucuucuuccccccccc. What is prob of picking 2 u and 1 c?
11/56
Four letters picked without replacement from rirroroozooiiir. What is prob of picking 3 o and 1 r?
10/273
Calculate prob of picking 2 q, 1 w, and 1 m when four letters picked without replacement from wuqomdudq.
1/126
What is prob of picking 1 v, 1 i, 1 m, and 1 f when four letters picked without replacement from fivmh?
1/5
Two letters picked without replacement from gddgdddddddgdddddd. Give prob of picking 1 d and 1 g.
5/17
Two letters picked without replacement from tkkttklktkkmtf. What is prob of picking 1 l and 1 t?
5/91
Two letters picked without replacement from {p: 1, w: 1, g: 1, q: 1, k: 1}. Give prob of picking 1 p and 1 w.
1/10
Three letters picked without replacement from jhkrs. What is prob of picking 1 j, 1 s, and 1 h?
1/10
Two letters picked without replacement from {a: 2, q: 2, t: 1}. Give prob of picking 2 q.
1/10
What is prob of picking 3 a and 1 s when four letters picked without replacement from alskklakaa?
2/105
What is prob of picking 2 r and 1 e when three letters picked without replacement from {a: 1, v: 1, r: 2, e: 2, x: 1}?
2/35
What is prob of picking 1 o and 2 i when three letters picked without replacement from oeomoomiomeiooooe?
9/680
Calculate prob of picking 2 c when two letters picked without replacement from {i: 3, c: 3, b: 1}.
1/7
Four letters picked without replacement from {w: 2, j: 3, f: 3, i: 7}. What is prob of picking 1 f and 3 i?
1/13
What is prob of picking 1 g, 2 h, and 1 x when four letters picked without replacement from {k: 1, y: 2, x: 1, h: 6, g: 2}?
2/33
Calculate prob of picking 2 o when two letters picked without replacement from oyyobyibyyco.
1/22
Two letters picked without replacement from cgggggggggggccggccg. Give prob of picking 2 g.
91/171
Three letters picked without replacement from {j: 1, i: 2, n: 1, x: 2, r: 1, l: 1}. What is prob of picking 1 i and 2 x?
1/28
Three letters picked without replacement from mmyymymymmmmmm. Give prob of picking 2 y and 1 m.
15/91
Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {d: 4, w: 3, u: 1, q: 2}.
4/45
Two letters picked without replacement from {f: 1, s: 7, u: 2}. What is prob of picking 1 s and 1 f?
7/45
Calculate prob of picking 1 z and 1 a when two letters picked without replacement from {z: 2, a: 8}.
16/45
Four letters picked without replacement from vgpvgjjjpgj. Give prob of picking 2 j, 1 g, and 1 p.
6/55
Three letters picked without replacement from pppbzpzppzpnzpp. What is prob of picking 1 b, 1 p, and 1 z?
36/455
Calculate prob of picking 1 p, 1 l, and 2 k when four letters picked without replacement from {l: 2, k: 2, t: 1, x: 1, p: 1, a: 1}.
1/35
Three letters picked without replacement from kvvkkvvuv. What is prob of picking 1 u, 1 k, and 1 v?
5/28
Two letters picked without replacement from gqdkzzk. Give prob of picking 2 z.
1/21
Calculate prob of picking 1 x and 1 m when two letters picked without replacement from {m: 1, x: 2, p: 1, g: 3}.
2/21
What is prob of picking 1 k and 1 n when two letters picked without replacement from {l: 2, n: 1, k: 1}?
1/6
What is prob of picking 1 q and 1 i when two letters picked without replacement from iqqqii?
3/5
Two letters picked without replacement from hiiiqrvi. What is prob of picking 1 h and 1 r?
1/28
What is prob of picking 1 y, 2 f, and 1 i when four letters picked without replacement from wfffyfffwywiwf?
6/143
Calculate prob of picking 4 y when four letters picked without replacement from yysiysssssysss.
1/1001
Three letters picked without replacement from {w: 3, v: 1, f: 5}. Give prob of picking 3 w.
1/84
Four letters picked without replacement from pjprprrjpprprpr. Give prob of picking 1 j and 3 r.
8/273
Calculate prob of picking 1 a and 1 c when two letters picked without replacement from acacaaaaacabaab.
2/7
Calculate prob of picking 2 f and 2 v when four letters picked without replacement from vvfvvvffff.
10/21
Two letters picked without replacement from aznnznssno. Give prob of picking 1 a and 1 n.
4/45
Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {a: 1, h: 1, l: 2, b: 1, g: 2, i: 1}.
1/28
What is prob of picking 2 j and 1 m when three letters picked without replacement from jjlrtrrrmqqmmrjmmqmj?
3/95
Calculate prob of picking 4 a when | {
"pile_set_name": "DM Mathematics"
} |
common divisor of 5 and r.
5
Let p be 182/49 - 2/(-7). Suppose 0 = -p*z - 0*z + 1004. Let r be (-2)/(2 + -3) + z. Calculate the greatest common factor of r and 23.
23
Let x = 55 - 30. Let f be (-2 - 1 - -2)*-10. What is the greatest common divisor of f and x?
5
Suppose -2 = 4*s + u + u, -3*u - 3 = -s. Let h = s + 22. Calculate the highest common factor of h and 66.
22
Let g = 1 - -2. Suppose 0 = h - g*h + c + 19, -5*h + 55 = 5*c. What is the highest common factor of 80 and h?
10
Let k be (-3*2)/2 - -31. What is the highest common factor of 7 and k?
7
Let y(g) = g**3 + 1 + 2*g**3 - 1. Let f be y(1). Let d be 2 + 3 + 42/f. Calculate the highest common divisor of 38 and d.
19
Suppose -32 = -0*g - 4*g. Suppose 0 = 4*t - g - 4, 57 = j - 3*t. Suppose 4*c + 4*n - 4 = 0, c = 2*c - 4*n - 26. Calculate the highest common divisor of j and c.
6
Let t = 6 + -2. Suppose 2*b = t*b - 80. Let d = 1 + 7. Calculate the highest common divisor of b and d.
8
Let f be ((-42)/8)/(5/(-40)). Let p(w) = -w + 1. Let g be p(-6). Calculate the highest common factor of g and f.
7
Suppose -4*m - 3*a = -59, m + 4*a = 3*m - 2. Suppose -g + m = 1. What is the highest common divisor of g and 15?
5
Let x be (5/(-15))/((44/(-72))/11). Calculate the greatest common divisor of x and 54.
6
Suppose 6*d = -0*d + 30. Suppose -2*i = 2*p - d*p - 96, 0 = i + 2*p - 34. What is the highest common factor of i and 14?
14
Let h = 6 - 2. Suppose -p + 28 = h*v, 5*v = p - 6*p + 80. Calculate the greatest common divisor of 48 and p.
12
Let k be (-6)/((-8)/4) + (-14)/(-2). What is the highest common factor of k and 35?
5
Suppose 18 = 3*x + 3*x. Suppose x*j + 6 = 4*j. What is the greatest common factor of j and 6?
6
Suppose -3*x - 3*n + 18 = n, -4*x - 4*n = -24. Calculate the highest common divisor of x and 48.
6
Let c(d) = -d - 10. Let w be c(0). Let z = w - -14. Suppose k - 15 = 5*g, -5*g + g + 46 = 5*k. Calculate the highest common factor of z and k.
2
Let s be (-6 - 12)/(1 + (-14)/10). Calculate the highest common factor of s and 18.
9
Suppose 3*h - 13 = 4*c - 58, 3*h = 5*c - 48. Let m(d) = d**2 + 11*d + 2. Let w be m(h). What is the greatest common factor of 4 and w?
2
Let i = 1 + 4. Let z be ((-55)/(-3))/(2/6). Calculate the greatest common divisor of i and z.
5
Let i(o) = o**2 - 2*o - 1. Let s be i(-3). What is the highest common factor of 140 and s?
14
Let r be (32/(-20))/((-2)/5). Suppose 4*t - h = 4*h - 180, -r*h = -16. Let v = -2 - t. Calculate the greatest common divisor of 95 and v.
19
Let u be (25/4 + 5)/((-6)/(-32)). Let y be -2 + (3 + -1)*11. What is the greatest common factor of y and u?
20
Let v = 4 + -16. Let h be ((-176)/v)/(4/6). Calculate the highest common divisor of h and 2.
2
Let s = -7 - -37. Let h(t) = t**3 + 8*t**2 - 8*t + 8. Let w be h(-9). Let z = 4 + w. Calculate the highest common factor of s and z.
3
Let z = -74 + 85. Let r be (-1)/(-4) + 614/8. What is the greatest common divisor of z and r?
11
Let a = -4 + 22. Let k = a - 12. What is the greatest common divisor of 42 and k?
6
Let v = 57 - 32. Calculate the highest common divisor of v and 125.
25
Let z(b) = b**3 + 7*b**2 + b - 5. Let d be z(-6). Calculate the highest common factor of d and 10.
5
Let j = -145 + 297. Suppose -m = 2*x - 92, m = -3*x + 3*m + j. Let q(i) = i**2 + 6*i + 9. Let u be q(-7). Calculate the highest common factor of x and u.
16
Suppose 3*w + 98 = 5*s, 100 = 5*s - 3*w - 2*w. Calculate the highest common factor of s and 133.
19
Let f(r) = -236*r - 4. Let a be f(-2). Suppose 12 = 4*y - a. What is the greatest common divisor of y and 15?
15
Let f be 49/2 - 1/(-2). Let q(o) = 9*o**3 + o. Let n be q(1). What is the greatest common divisor of f and n?
5
Suppose 2 = 3*v - 1, 2*x - 2*v = 60. Let l = x + -19. Calculate the highest common divisor of 24 and l.
12
Let o(m) = -m**3 - 4*m**2 + m + 4. Let x be o(-4). Suppose x = 2*u + u - 360. Suppose n - u = -3*n. What is the greatest common divisor of 75 and n?
15
Suppose 0 = -2*x - 18 + 60. Let i = x - 6. Calculate the greatest common factor of 105 and i.
15
Let i be 11/2*6/3. Let w(l) = -l**3 + 2*l**2 + 2*l - 2. Let x be w(2). Suppose -x*u = 2*u - 4. What is the greatest common divisor of u and i?
1
Let p(r) = -r**3 + r**2 + 2*r - 2*r - 3*r + 2 - 7. Let d be p(4). Let x = -5 - d. What is the highest common divisor of 12 and x?
12
Let i = -12 + 12. Suppose -5*q - 3*y - 26 + 116 = 0, -q + 3*y = i. Calculate the highest common factor of 75 and q.
15
Let r(j) = 17*j**2 - 3*j + 3. Let g be r(1). What is the highest common factor of g and 51?
17
Let n(y) = y - 2. Let q be n(3). Let r(u) be the second derivative of u**4/3 - 4*u. Let x be r(q). Calculate the highest common divisor of 12 and x.
4
Suppose 0 = 2*u + 4, -4*u - 80 = -0*r - 4*r. Suppose -13 = -4*f + 47. Let g = -9 + f. What is the greatest common factor of r and g?
6
Let w = -10 - -12. Suppose 0 = w*s + 2*s - 700. What is the highest common factor of 25 and s?
25
Let o = 34 - 20. Calculate the highest common divisor of 126 and o.
14
Let p(r) be the first derivative of r**4/2 - r**3/3 + r**2/2 + r - 8. Let k be p(5). Let o = 36 + -15. Calculate the greatest common factor of k and o.
21
Let w(z) = 5*z + 2. Let s(r) = -9*r - 3. Let k(l) = -6*s(l) - 11*w(l). Let u be k(-6). Suppose -5*v = -3 - u. Calculate the highest common factor of v and 1.
1
Let z be ((-2)/(-4))/((-5)/(-320)). What is the greatest common divisor of 4 and z?
4
Let d = 0 - -2. Let j = 13 + 7. Suppose j = d*k + 3*k. Calculate the highest common divisor of 1 and k.
1
Let u = -8 - -8. Suppose -2*s + 6*s - 20 = u. Calculate the greatest common factor of 5 and s.
5
Suppose -3*k + 467 = 5*p, -2*p = k - 75 - 112. Suppose -127 = -3*q + d - 3*d, -d = -2*q + p. Let t = -25 + q. Calculate the highest common divisor of t and 20.
20
Suppose 349 = 2*o + a, 45 = 2*o + 5*a - 300. What is the highest common divisor of o and 25?
25
Let u = 7 + -11. Suppose f = 2*m + 1, -5 = f - 2*f - 2*m. Let h be (u - 2)/f + 15. What is the greatest common factor of 13 and h?
13
Let g = -100 - -136. Calculate the highest common factor of 54 and g.
18
Suppose 0 = 5*q - 10, 2*q + 25 = c - 0*q. Let k = c - 19. Calculate the highest common factor of k and 90.
10
Suppose h = -5*g - h + 23, 5*h - 11 = 3*g. Suppose x - g*x + 6 = 0. What is the greatest common divisor of 3 and x?
3
Let j(t) = -t - 3. Let p be j(3). Let l = p + 7. Calculate the greatest common factor of l and 9.
1
Let z(i) = -i**3 + 9*i**2 - i + 13. Let q be z(9). Suppose h + 4*h = q*p + 123, 2*h + 2*p - 60 = 0. Calculate the highest common divisor of h and 3.
3
Let v(f) = 7*f - 10. Let l be v(4). Calculate the greatest common divisor of 12 and l.
6
Suppose 0 = -4*r + 36 - 0. Let x = 16 - -29. What is the highest common divisor of x and r?
9
Let i be -5*(-1)/5*11. Let s = -7 + i. Let a = 57 - 29. Calculate the highest common divisor of a and s.
4
Let v = 31 - -53. What is the highest common divisor of v and 12?
12
Let k be (8/(-3))/((-3)/63). Let u(g) = -g**3 + 3*g**2 + 4*g + 7. Let n be u(4). What is the greatest common divisor of k and n?
7
Suppose 6 = 2*m - 0. Suppose v = d + 50, -m*d + 0*d = -12. Suppose -i = u - 24, 2*u + v = 5*i - 38. Calculate the highest common divisor of 30 and i.
10
Suppose 3*h = -2 - 1. Let g(s) = -42*s**3 - s**2 - s. Let a be g(h). Calculate the greatest common factor of a and 6.
6
Suppose -5*t + 38 = -12. Calculate the highest common divisor of t and 110.
10
Suppose 3 = -5*t + 13. Let a(o) = 6*o**3 - o**2 - 2. Let i be a(t). Calculate the highest common divisor of i and 14.
14
Let f = 16 - 12. Suppose -3*j + 5*j + d - 14 = 0, 24 = f*j + 4*d. What is the highest common divisor of 4 and j?
4
Let i be 3/(6*2/76). Let p = 21 - i. Let c be (-4)/(-5)*5/2. What is the highest common divisor of c and p?
2
Let n = 44 + -35. Calculate the greatest common factor of n and 72.
9
Suppose -3*v - 17 = -5*y, 2*y + 3*v = y + 7. Let i be 3 - (-1)/((-2)/y). What is the highest common divisor of 8 and i?
1
Let l = 33 - 24. What is the greatest common factor of 81 and l?
9
Suppose 0 = 11*n - 20*n + 108. What is the greatest common divisor of 8 and n?
4
Let l be 9 + 0 + (1 - 1). Suppose -4*d = -d - l. Let y be (2 + 10)/(d/2). What is the greatest common divisor of 12 and y?
4
Let o = 0 + 26. What is the | {
"pile_set_name": "DM Mathematics"
} |
of -16463*j**5 - j**3*q + 502*j**2 + 32*q wrt j.
-987780*j**2 - 6*q
Find the third derivative of 738459*p**3 + 3500*p**2 + 171 wrt p.
4430754
What is the third derivative of -178*g**5 + 42*g**4 + g**3 + 8*g**2 + 21*g + 1053 wrt g?
-10680*g**2 + 1008*g + 6
Differentiate -h**2*r - 21665*h**2 + h*r - 22098*r + 3 with respect to h.
-2*h*r - 43330*h + r
Find the first derivative of -12*u**3 + u**2 - 36537*u + 1029235 wrt u.
-36*u**2 + 2*u - 36537
Find the first derivative of -232632*b**4 + 285792.
-930528*b**3
Find the first derivative of 178*h**2*t - 4*h**2 + 77*h*t - 823086*t wrt h.
356*h*t - 8*h + 77*t
What is the second derivative of -1864394*w**3 - 1603632*w?
-11186364*w
Find the first derivative of -556*g**4 + 943*g**2 + 724996.
-2224*g**3 + 1886*g
What is the second derivative of -3*j**3*u - 1219*j**2 - 1637*j*u - 3*j - 3 wrt j?
-18*j*u - 2438
Differentiate -7940*l - 57743.
-7940
Find the third derivative of 14822*g**4*x**2 + 18*g**4 + g**2*x**2 - g**2 - 19760*x**2 wrt g.
355728*g*x**2 + 432*g
Find the second derivative of 4*b**3*i*v + 2*b**3*i - 54*b**3*v**3 + b**3 - b*i*v - b*i + 64*b*v - 3266*i*v**3 wrt v.
-324*b**3*v - 19596*i*v
Find the first derivative of -1248*y**4 - 5*y**2 + 2*y - 119803 wrt y.
-4992*y**3 - 10*y + 2
What is the second derivative of -1307373*l**2 - 1463601*l wrt l?
-2614746
Find the second derivative of 52824*i**5 - 14800*i wrt i.
1056480*i**3
Find the second derivative of -60*k**4 + 8038*k**3 + 551457*k.
-720*k**2 + 48228*k
Find the third derivative of 118*j**4*k*p + 518*j**3*k*p**3 + 892*j**2*p**3 + 2*j**2*p - 808*k wrt j.
2832*j*k*p + 3108*k*p**3
Find the first derivative of 2*g*p*w**2 + g*p*w - 166*g - 41*p**2*w + 139*p**2 + w**2 wrt w.
4*g*p*w + g*p - 41*p**2 + 2*w
Find the second derivative of 20*d**4 - 335*d**3 - 3*d**2 + 7*d - 1356 wrt d.
240*d**2 - 2010*d - 6
Find the second derivative of -b**3 + 668971*b**2 - 2*b + 174117 wrt b.
-6*b + 1337942
What is the second derivative of -7000*x**2 + 2768*x - 6 wrt x?
-14000
Find the third derivative of -9894*j**4*v**2 + 332*j**4 - 4*j**2*v**2 - 15*j**2 - 45*j*v - 17*v**2 wrt j.
-237456*j*v**2 + 7968*j
What is the third derivative of -71*v**4 + 14*v**3 + 3*v**2 - 27*v + 14?
-1704*v + 84
Differentiate 33934*g**2 - 41957 with respect to g.
67868*g
Find the second derivative of 3*q**3*v**2 - 14*q**3*v + 27*q**2*v - 54*q*v + 76685*v**4 wrt v.
6*q**3 + 920220*v**2
Differentiate -2*r**3 - 454*r*u - 823668*u wrt r.
-6*r**2 - 454*u
What is the third derivative of 2*d**6 + 574*d**4 + 35*d**3 + 396628*d**2 wrt d?
240*d**3 + 13776*d + 210
Differentiate -1009454*p + 110346 with respect to p.
-1009454
What is the derivative of -13*y**4 + 4*y**3 - 260*y - 483661 wrt y?
-52*y**3 + 12*y**2 - 260
What is the third derivative of k*n*w**3 - 156*k*n*w**2 + 30*k*w**3 + k*w**2 + 864*k - 525*n*w**3 + w wrt w?
6*k*n + 180*k - 3150*n
What is the first derivative of 71*m**4 + 57*m + 29591 wrt m?
284*m**3 + 57
What is the first derivative of -3*b**3 + 64382*b - 1284187 wrt b?
-9*b**2 + 64382
Find the first derivative of 459698*q**2 - 760546.
919396*q
What is the derivative of 665697*a**3 + 1904159?
1997091*a**2
What is the third derivative of 20*j**4*p - 664*j**3*p + 2*j**2 + 4405*j*p wrt j?
480*j*p - 3984*p
What is the second derivative of 290*a**2*n**2*v**3 + 13*a**2*v**3 - a*n**2*v - 9805*n*v**3 wrt a?
580*n**2*v**3 + 26*v**3
Differentiate 58*h*z**2 + 2*h*z - 23111*h + 30*z**3 - 1 with respect to z.
116*h*z + 2*h + 90*z**2
Differentiate -24263*m**2 - 16*m*t + 368257*t with respect to m.
-48526*m - 16*t
What is the derivative of 3*k**3 - 88*k**2 - 83*k - 404782 wrt k?
9*k**2 - 176*k - 83
Find the second derivative of -3*n**3*r**2 - 2347*n**3 + 2*n**2*r**2 + 11*n**2*r + n**2 + 956*n*r**2 wrt r.
-6*n**3 + 4*n**2 + 1912*n
What is the second derivative of 100*u**4 + 66*u**3 + 12*u**2 - 1555319*u wrt u?
1200*u**2 + 396*u + 24
Find the third derivative of -259958*n**3 + 791*n**2 - n - 1.
-1559748
What is the second derivative of -7285*d**4 - 35*d**3 + 446240*d?
-87420*d**2 - 210*d
What is the second derivative of -47135*a**2*m**2 - 13*a*m**2 + 1733*m**2 wrt a?
-94270*m**2
Find the second derivative of 1031*m**3*n**2 + 125138*m**3 - 46*m*n**2 - 2*m*n - n**2 wrt n.
2062*m**3 - 92*m - 2
Find the second derivative of -93514*c**3 - 187*c + 4.
-561084*c
What is the second derivative of 34*f**2*j**2*r + 26309*f**2*j**2 + 2*f*j**2 + 4*f*j*r + 4*f*r + 2234*j**2 - r wrt f?
68*j**2*r + 52618*j**2
What is the third derivative of 3*o*s**4 - 102*o - 145*s**4 - 3*s**3 - 2*s**2 - 6*s wrt s?
72*o*s - 3480*s - 18
Find the second derivative of 2*f*h**2 + 3*f*h + 13*f - 14701*h**3 + 10*h wrt h.
4*f - 88206*h
What is the third derivative of 181*v**4 + 128*v**3 + 2*v**2 - 32827 wrt v?
4344*v + 768
What is the second derivative of 35632*b**2 + 33820*b wrt b?
71264
What is the first derivative of -28890*k + 136661 wrt k?
-28890
What is the second derivative of 155565*y**3 + 484106*y?
933390*y
Find the second derivative of -18440*z**2 + 90204*z wrt z.
-36880
Find the second derivative of -g*y**3 + 231*g*y**2 + g + y**3 - 26596*y wrt y.
-6*g*y + 462*g + 6*y
What is the first derivative of -140743*k + 129392 wrt k?
-140743
What is the second derivative of -7*k**3*x**2 + 2*k**3 - 474*k**2*x**2 - 370*k**2*x - 3*k**2 - 6*x wrt x?
-14*k**3 - 948*k**2
What is the derivative of 120773*a**2 + 216247 wrt a?
241546*a
Find the first derivative of -2*a*n*o + 9*a*n - 4*a + 84358*n*o + 46335*o wrt n.
-2*a*o + 9*a + 84358*o
What is the third derivative of -3*k**4*n - 14*k**4 - 15*k**3*n - 3*k**3 - 13*k**2*n + k**2 - 2*k wrt k?
-72*k*n - 336*k - 90*n - 18
What is the third derivative of 2*m**5*r**2 - 188692*m**3*r**2 + 505*m**2*r**2 - 3*m**2*r - 3*m*r**2 wrt m?
120*m**2*r**2 - 1132152*r**2
What is the second derivative of 5*q**3*s**2 + 2*q**3 - 16*q**2*s**2 - 1738*q**2*s + 103*q*s**2 + 2*q*s wrt s?
10*q**3 - 32*q**2 + 206*q
Differentiate 64772*c**3 + c - 337311 wrt c.
194316*c**2 + 1
Find the third derivative of 376068*g**3*k**2 - 3*g**3 - 2173*g**2*k**2 - g**2 wrt g.
2256408*k**2 - 18
What is the third derivative of 3629*o**4 - 9*o**3 + 2*o**2 - o + 34799?
87096*o - 54
Find the first derivative of 147820*u**4 - 386045.
591280*u**3
What is the first derivative of 962*f**2 - 100*f + 487371?
1924*f - 100
What is the second derivative of -4*l*p**2 + l*p - 74552*p**2 + 10*p - 260 wrt p?
-8*l - 149104
Find the third derivative of -2513329*n**4 - 995*n**2 + 1863 wrt n.
-60319896*n
Differentiate 2*a*t*w**2 - 468*a*t*w + a*w**3*y - 2192*t*w**3*y - 3*w**3*y + 2*w**3 + 1 wrt y.
a*w**3 - 2192*t*w**3 - 3*w**3
Find the third derivative of -165*s**5 - 3*s**4 + 5*s**3 - 203*s**2 + 34*s - 1.
-9900*s**2 - 72*s + 30
What is the third derivative of j**4*u**2 + 211*j**4 - 259*j**3*u**2 - j**2*u**2 + 2*j**2*u - 209*j**2 + 2558*j*u wrt j?
24*j*u**2 + 5064*j - 1554*u**2
Differentiate -14*i**4 - 63*i**3*p + 9894*p with respect to i.
-56*i**3 - 189*i**2*p
Find the first derivative of 153296*b**3 - 160957 wrt b.
459888*b**2
Find the second derivative of 7333*t**5 - t**3 - 4*t**2 - 61399*t wrt t.
146660*t**3 - 6*t - 8
What is the second derivative of 859461*u**2 + 171767*u?
1718922
Find the third derivative of 965518*m**5 - 29739*m**2.
57931080*m**2
Differentiate -126392*u - 129682.
-126392
Differentiate 182584*k**2*l**2 - 5*k**2*q**3 + 61*l**2*q**2 + 9*l*q + 84*q**3 wrt k.
365168*k*l**2 - 10*k*q**3
Find the third derivative of 5*i*m**4 - 3531*i*m**3 - 1688*i*m**2 + 16*m**3 + 2*m**2 - 427 wrt m.
120*i*m - 21186*i + 96
Find the third derivative of 184*h**3*v**3 + 2*h**3*v**2 + 7*h**3*v + 21*h**3 - h*v**4 - 20*h*v**3 + 4 wrt v.
1104*h**3 - 24*h*v - 120*h
Find the second derivative of -6*g*q**3 - 4773*g*q**2 + 27839*g*q + q wrt q.
-36*g*q - 9546*g
What is the third derivative of -f**2*t**3 - f**2*t**2 + 145843*f*t**5 - 3*f*t**2 - 35039 wrt t?
-6*f**2 + 8750580*f*t**2
What is the second derivative of 78741*l**2 - 79043*l?
157482
Differentiate -177563*u**2*x**2 - 4*u**2 - 2349*u - 2 with respect to x.
-355126*u**2*x
Find the first derivative of 69*p**3*s**2 + 35490*p**3 + 47*p**2*s**2 wrt s.
138*p**3*s + 94*p**2*s
Find the second derivative of 61727*n**2*z**2 + n**2*z - n*z**2 - 22497*n*z wrt z.
123454*n**2 - 2*n
What is the first derivative of 92140*y**3 - 2936593 w | {
"pile_set_name": "DM Mathematics"
} |
69407, -369402, -369397, -369392?
5*t - 369417
What is the u'th term of 160553, 160556, 160559, 160562, 160565?
3*u + 160550
What is the x'th term of 2419, 4744, 7077, 9424, 11791?
x**3 - 2*x**2 + 2324*x + 96
What is the t'th term of 3541733, 3541735, 3541737, 3541739, 3541741, 3541743?
2*t + 3541731
What is the v'th term of 401, 798, 1191, 1580, 1965?
-2*v**2 + 403*v
What is the p'th term of -1843, -3517, -5197, -6883, -8575, -10273?
-3*p**2 - 1665*p - 175
What is the a'th term of -1820, -1823, -1828, -1835?
-a**2 - 1819
What is the m'th term of 11389, 45508, 102381, 182014, 284413, 409584, 557533, 728266?
m**3 + 11371*m**2 - m + 18
What is the v'th term of -282, -4211, -14872, -35631, -69854?
-561*v**3 - 2*v + 281
What is the p'th term of 51895, 51898, 51903, 51910, 51919, 51930, 51943?
p**2 + 51894
What is the j'th term of -7351, -7216, -7081?
135*j - 7486
What is the x'th term of -2476, -4764, -7040, -9298, -11532, -13736?
x**3 - 2295*x - 182
What is the k'th term of 239867, 239866, 239865?
-k + 239868
What is the l'th term of 5089, 9900, 14711, 19522, 24333, 29144?
4811*l + 278
What is the o'th term of 10838, 10595, 10352, 10109, 9866?
-243*o + 11081
What is the s'th term of -6240, -6217, -6192, -6165, -6136, -6105?
s**2 + 20*s - 6261
What is the m'th term of 93, -947, -2679, -5103, -8219, -12027?
-346*m**2 - 2*m + 441
What is the y'th term of -177, -347, -475, -555, -581, -547?
y**3 + 15*y**2 - 222*y + 29
What is the f'th term of -143234, -286466, -429698?
-143232*f - 2
What is the y'th term of 149422, 597696, 1344820, 2390794, 3735618, 5379292, 7321816?
149425*y**2 - y - 2
What is the s'th term of 132447, 132450, 132453, 132456, 132459?
3*s + 132444
What is the t'th term of -283, -740, -1203, -1672?
-3*t**2 - 448*t + 168
What is the h'th term of -72, -69, -36, 21, 96, 183, 276?
-h**3 + 21*h**2 - 53*h - 39
What is the m'th term of -15944, -15952, -15964, -15980, -16000, -16024, -16052?
-2*m**2 - 2*m - 15940
What is the u'th term of 3314, 13268, 29858, 53084?
3318*u**2 - 4
What is the i'th term of -20, -179, -626, -1505, -2960, -5135, -8174?
-24*i**3 + 9*i - 5
What is the z'th term of -416982, -833960, -1250938?
-416978*z - 4
What is the f'th term of 1281, 4138, 8885, 15510, 24001, 34346, 46533, 60550?
-2*f**3 + 957*f**2 + 326
What is the k'th term of -178, -309, -442, -577, -714, -853, -994?
-k**2 - 128*k - 49
What is the l'th term of -284, -425, -566, -707, -848?
-141*l - 143
What is the p'th term of -246, -512, -798, -1104, -1430?
-10*p**2 - 236*p
What is the v'th term of -770, -2797, -6100, -10679, -16534, -23665, -32072?
-638*v**2 - 113*v - 19
What is the n'th term of -84774, -169539, -254300, -339057, -423810, -508559?
2*n**2 - 84771*n - 5
What is the f'th term of -225452, -225447, -225432, -225401, -225348, -225267?
f**3 - f**2 + f - 225453
What is the w'th term of -3021, -6054, -9087, -12120, -15153?
-3033*w + 12
What is the u'th term of -9676, -9666, -9648, -9622, -9588, -9546?
4*u**2 - 2*u - 9678
What is the p'th term of 69997, 70007, 70017, 70027?
10*p + 69987
What is the s'th term of -1450, -1419, -1394, -1375?
-3*s**2 + 40*s - 1487
What is the u'th term of 824, 1659, 2494, 3329, 4164?
835*u - 11
What is the i'th term of -85, -448, -1073, -1978, -3181, -4700, -6553?
-3*i**3 - 113*i**2 - 3*i + 34
What is the l'th term of -363, -542, -733, -942, -1175, -1438, -1737, -2078?
-l**3 - 172*l - 190
What is the w'th term of 49472, 49482, 49494, 49508, 49524, 49542?
w**2 + 7*w + 49464
What is the z'th term of -19156, -38298, -57440, -76582, -95724?
-19142*z - 14
What is the o'th term of -560, -1086, -1624, -2180, -2760?
-o**3 - 519*o - 40
What is the j'th term of 9619, 9643, 9667, 9691?
24*j + 9595
What is the a'th term of 247, 483, 683, 847?
-18*a**2 + 290*a - 25
What is the i'th term of 210895, 210870, 210847, 210826?
i**2 - 28*i + 210922
What is the v'th term of 826, 1421, 2038, 2683, 3362, 4081, 4846?
v**3 + 5*v**2 + 573*v + 247
What is the n'th term of -47, -443, -1547, -3713, -7295, -12647?
-59*n**3 + 17*n - 5
What is the u'th term of -3279, -5688, -8111, -10554, -13023, -15524, -18063?
-u**3 - u**2 - 2399*u - 878
What is the x'th term of -18133, -18131, -18129, -18127, -18125, -18123?
2*x - 18135
What is the h'th term of 7693, 15382, 23071, 30760?
7689*h + 4
What is the w'th term of -22966, -22952, -22924, -22876, -22802, -22696, -22552?
w**3 + w**2 + 4*w - 22972
What is the q'th term of -101, -174, -225, -242, -213?
2*q**3 - q**2 - 84*q - 18
What is the b'th term of -314211, -314214, -314219, -314226, -314235, -314246?
-b**2 - 314210
What is the s'th term of -2037, -4072, -6109, -8148, -10189?
-s**2 - 2032*s - 4
What is the m'th term of -1677063, -1677061, -1677059?
2*m - 1677065
What is the x'th term of -330, -424, -520, -618, -718, -820, -924?
-x**2 - 91*x - 238
What is the g'th term of -855, -829, -789, -729, -643, -525, -369, -169?
g**3 + g**2 + 16*g - 873
What is the f'th term of 350331, 700673, 1051015, 1401357, 1751699?
350342*f - 11
What is the a'th term of 3814, 7637, 11474, 15331, 19214, 23129?
a**3 + a**2 + 3813*a - 1
What is the o'th term of 127, 528, 1187, 2098, 3255, 4652, 6283?
-o**3 + 135*o**2 + 3*o - 10
What is the j'th term of 297678, 297680, 297684, 297690, 297698?
j**2 - j + 297678
What is the n'th term of 2, -40, -198, -532, -1102, -1968, -3190, -4828?
-10*n**3 + 2*n**2 + 22*n - 12
What is the z'th term of -29121, -58241, -87361, -116481, -145601?
-29120*z - 1
What is the y'th term of 8673, 8670, 8667?
-3*y + 8676
What is the p'th term of -507, -569, -609, -621, -599?
p**3 + 5*p**2 - 84*p - 429
What is the i'th term of 1071, 1227, 1495, 1881, 2391?
i**3 + 50*i**2 - i + 1021
What is the x'th term of -24, 43, 122, 219, 340, 491, 678?
x**3 + 60*x - 85
What is the k'th term of -235929, -235927, -235925, -235923, -235921, -235919?
2*k - 235931
What is the v'th term of 70508, 70512, 70516, 70520, 70524?
4*v + 70504
What is the v'th term of -3794, -3900, -4050, -4250, -4506, -4824?
-v**3 - 16*v**2 - 51*v - 3726
What is the k'th term of -433, -1219, -2523, -4339, -6661, -9483, -12799?
k**3 - 265*k**2 + 2*k - 171
What is the z'th term of 2389, 2229, 2069, 1909?
-160*z + 2549
What is the t'th term of -266, -275, -298, -341, -410, -511, -650?
-t**3 - t**2 + t - 265
What is the j'th term of 1087, 1084, 1081, 1078?
-3*j + 1090
What is the y'th term of 9886, 9902, 9928, 9970, 10034?
y**3 - y**2 + 12*y + 9874
What is the r'th term of -321, -642, -963, -1284, -1605?
-321*r
What is the a'th term of 5019, 9988, 14957?
4969*a + 50
What is the m'th term of 518, 2359, 5428, 9725, 15250, 22003?
614*m**2 - m - 95
What is the n'th term of -1498, -3258, -5018, -6778, -8538, -10298?
-1760*n + 262
What is the w'th term of -4974, -3643, -2314, -987, 338, 1661?
-w**2 + 1334*w - 6307
What is the s'th term of -1695, -1684, -1659, -1614, -1543?
s**3 + s**2 + s - 1698
What is the g'th term of -278, -195, -110, -23, 66, 157, 250?
g**2 + 80*g - 359
What is the t'th term of 875, 887, 911, 953, 1019, 1115?
t**3 + 5*t + 869
What is the f'th term of -47690, -47696, -47688, -47660, -47606, -47520, -47396, -47228?
f**3 + f**2 - 16*f - 47676
What is the n'th term of -169, -616, -1347, -2356, -3637, -5184?
n**3 - 148*n**2 - 10*n - 12
What is the q'th term of 1482, 1484, 1486, 1488, 1490, 1492?
2*q + 1480
What is the z'th term of -1392, -1402, -1418, -1440?
-3*z**2 - z - 1388
What is the x'th term of -9885, -19756, -29627, -39498, -49369?
-9871*x - 14
What is the k'th term of -352, -1298, -2834, -4960, -7676, -10982?
-295*k**2 - 61*k + 4
What is the q'th term of 215, 262, 141, -148, -605?
-84*q**2 + 299*q
What is the s'th term of 380, 1437, 3164, 5561, 8628, 12365, 16772?
335*s**2 + 52*s - 7
What is the j'th term of -2257, -3004, -3765, -4546, -5353, -6192, -7069?
-j**3 - j**2 - 737*j - 1518
What is the r'th term of 238, -112, -1636, -4922, -10558, -19132, -31232?
-98*r**3 + r**2 + 333*r + 2
What is the d'th term of 305, 319, 369, 473, 649?
3*d**3 - 7*d + 309
What is the z'th term of -16441, -65732, -147873, -262858, -410681, -591336, -804817?
z**3 - 16431*z**2 - 5*z - 6
What is the x'th term of 76, 903, 3148, 7519, 14724, 25471?
118*x**3 + x**2 - 2*x - 41
What is the h'th term of 715, 2927, 6667, 11947, 18779, 27175?
2*h**3 + 752*h**2 - 58*h + 1 | {
"pile_set_name": "DM Mathematics"
} |
factor of (48/(-18) + 5)*2*(2061 + -6)?
True
Let x(s) = -6*s**2 + 23*s - 53. Let m(z) = -3*z**2 + 11*z - 27. Let l(p) = -5*m(p) + 2*x(p). Does 47 divide l(13)?
False
Let w be (-3 + 12/2)/1. Suppose 8*t - w*t + 18 = 2*h, 0 = 5*t + 10. Suppose -2 = -2*f, -h*n = -f - 0*f - 43. Is n a multiple of 2?
False
Suppose -24*v - 28*v = -28*v - 41712. Does 3 divide v?
False
Let j = 45171 - 22200. Does 13 divide j?
True
Is 69 a factor of -4 - (-6 + (11 + -15)/(10/4135))?
True
Let b(h) = 27*h**2 + 2*h + 8. Suppose 31*v = 5 - 98. Is 7 a factor of b(v)?
True
Suppose 21*h - 23*h + 2 = 0, 0 = b + 8*h - 9122. Is 10 a factor of b?
False
Suppose -4*y + 22 = 5*l, -2*y - l = -4*l. Is 47 a factor of (94/y)/((-9)/((-2052)/8))?
True
Let m = -168 + 168. Suppose m = -4*o + 16, -4*o - 7 = -t + 48. Does 42 divide t?
False
Suppose 127 = 12*s + 19. Suppose s*f = 628 + 317. Is 11 a factor of f?
False
Let y be 1*305/(-20) - 3/(-12). Is 60 a factor of (225/(-10))/y*24*25?
True
Let f(a) = 18*a**2 - 20*a + 28. Let x be f(-7). Suppose g = -0*g + x. Is g a multiple of 40?
False
Suppose -3*l + b - 748 = 339, 3*l = -2*b - 1084. Let k = l + 420. Does 3 divide k?
False
Let d = -99805 + 150088. Is d a multiple of 37?
True
Suppose 0 = -4*q + 10*q + 312. Let a = q + 80. Does 12 divide (4 + 20/(-14))*a?
True
Suppose -4*m = -0*m - 72. Suppose -7*z + z + 90 = 0. Suppose z*s - m*s = -165. Does 18 divide s?
False
Suppose -913384 = -93*z + 232376. Is 80 a factor of z?
True
Let x be (-69)/(-6) + (-6)/4. Let m(b) = 2*b**3 - 4*b**3 - 2 - 5 - 6*b - x*b**2 - 2*b. Is m(-5) a multiple of 5?
False
Let s(z) be the second derivative of z**4/12 - 5*z**3/3 + 15*z**2/2 - 13*z. Let v be s(10). Suppose -v*p + 26*p - 154 = 0. Is 5 a factor of p?
False
Suppose -8*t - 16067 = 9*t - 119852. Is 17 a factor of t?
False
Suppose -13231 - 1679 = -70*l. Is 31 a factor of l?
False
Suppose 6*h = 8*h + 122. Let j = h + 70. Is 20 a factor of (-3)/j + (-295)/(-3) + 2?
True
Let t(s) = -5*s - 2. Suppose d - 131 = 4*k + 2*d, 3*k + 2*d = -102. Is t(k) a multiple of 9?
False
Let g = 17 + -10. Let m be -219*8/(-12) - 6. Suppose -5*r - m = -g*r. Is r a multiple of 10?
True
Let o = -24 - 15. Let y = o + 51. Is (-2)/(-12) + 1342/y a multiple of 14?
True
Let g(i) = 2*i**3 + 6*i**2 - 16*i + 11. Let d be g(6). Let k = d - 382. Is 5 a factor of k?
False
Suppose l + 4*f = 7, 5*l + 2*f = -f + 18. Suppose l*j - 2*j + 3*n = 281, 5*n = -j + 275. Is 29 a factor of j?
True
Let k(x) = -8*x + 24. Let r(w) = 7*w - 25. Let v(m) = -5*k(m) - 6*r(m). Let n be v(-15). Is 16 a factor of (2568/n)/((-2)/(-10))?
False
Suppose 16*d + 18 = 210. Let c(l) = 7*l - 68. Is c(d) even?
True
Suppose 6*g + 2*g + 248 = 0. Let x = 139 + g. Suppose 9*y - x = 5*y. Is y a multiple of 5?
False
Suppose -96 = 2*x + 378. Let j = x - -459. Does 62 divide j?
False
Suppose -5*l = p + 25, 2*p - 2*l + 0*l - 10 = 0. Suppose 5*u - 3*i = -191, -5*i = -5*u - p*i - 185. Let n = u + 62. Does 22 divide n?
True
Let u = -260 + -321. Let r = u + 1091. Is 10 a factor of r?
True
Let c be (-9)/(216/16)*9/2. Let m = c + 106. Does 9 divide m?
False
Suppose 55*r - 619 = 41. Suppose 4*k + 8*c - 3*c - 80 = 0, -4*c - 80 = -4*k. Suppose 0 = -r*h + k*h - 2280. Does 57 divide h?
True
Suppose 55 - 37 = 3*t, q = t + 10758. Is q a multiple of 299?
True
Let a(d) = -301*d + 317 - 71*d - 290. Is a(-4) a multiple of 33?
False
Let t(b) = -4*b - 6. Suppose 5*s - 10 = -3*d, 0*d = -5*s + 2*d - 15. Let n be t(s). Let c(r) = -7*r**3 - 5*r**2 - 3*r - 2. Is 20 a factor of c(n)?
True
Let d be (-2 - -1)/(4 - (-14)/(-4)). Let o be (-4)/(-2)*(d/(-4) - 0). Does 13 divide 3*o/4*52?
True
Let t = -32 + 34. Is ((-12)/48)/(t/(-168)) a multiple of 7?
True
Let q = 1485 - 1307. Is 12 a factor of q?
False
Suppose -6 = 4*b + 90. Let r(m) = 32*m + 20. Let p be r(-7). Let k = b - p. Is 36 a factor of k?
True
Let n = 8706 + 18654. Does 285 divide n?
True
Let r(y) = 2 + 16 - 113*y + 68*y + 68*y. Let a(s) = s**3 + 5*s**2 + 3*s - 2. Let j be a(-4). Is 16 a factor of r(j)?
True
Let r(y) = 2*y**3 - 13*y**2 + 6*y - 125. Is 39 a factor of r(13)?
False
Let j(u) = -18*u**3 + 5*u**2 + 8*u - 5. Let m(i) = -36*i**3 + 9*i**2 + 14*i - 10. Let q(g) = -5*j(g) + 3*m(g). Is 13 a factor of q(-2)?
True
Let o = 9765 + -4098. Does 18 divide o?
False
Let c = 16954 - -17556. Does 17 divide c?
True
Let d = -46980 + 65886. Does 23 divide d?
True
Suppose -47*p - 33872 = -89332. Does 59 divide p?
True
Let l(x) = -6 + 5524*x + x**2 - 33 - 5528*x. Is 12 a factor of l(17)?
False
Suppose u = -2*b + 2292, -4*u = 667*b - 671*b - 9144. Does 16 divide u?
True
Suppose 4*n = 2*g - 48996, -86*n = 4*g - 91*n - 98010. Is 95 a factor of g?
True
Let u be 2*(27/2 + -1). Suppose 20*k - u*k = 0. Suppose k = -x + 6 + 2. Is x a multiple of 3?
False
Suppose 112 = -2*t + 4*x, -4*t = -3*x - 125 + 334. Does 16 divide 854/4 + (-25)/t?
False
Let l(k) = 10*k**3 + 2*k**2 - 16*k + 6. Let u be l(4). Let s = -430 + u. Is s a multiple of 23?
True
Suppose s - 930 + 681 = 0. Is 2 a factor of s?
False
Suppose -45*h + 39*h + 2082 = 0. Let y = 109 + h. Is y a multiple of 12?
True
Let f be 3 + -1 + 0 + (-12)/(-4). Suppose 86 - 30 = f*y + 3*d, y - 6 = 2*d. Suppose 8*c - y*c + 162 = 0. Does 10 divide c?
False
Let c = 507 + -859. Let g = c + 592. Is 15 a factor of g?
True
Let j = 189 + -191. Is ((-12)/(-27))/j - 3244/(-18) a multiple of 18?
True
Suppose -6*q - 15 - 183 = 0. Let b = q + 33. Suppose d = 3*m - 5*m + 100, 2*d - m - 190 = b. Does 16 divide d?
True
Let q = -31 - -44. Let u(h) = 55*h - 204. Is u(q) a multiple of 73?
True
Suppose 136610 + 1112931 = 39*p + 34*p. Is 89 a factor of p?
False
Suppose -4*w + 3158 + 1442 = 0. Suppose 200 + w = 9*u. Is u a multiple of 34?
False
Let g(m) = -m**2 + 5*m + 1659. Let l be g(0). Is (l/(-14))/(6/(-8)) a multiple of 17?
False
Let l(r) = -39*r + 4816. Does 19 divide l(47)?
True
Let h(p) = -50*p - 30. Let x be 1/(((-24)/78)/4). Does 20 divide h(x)?
True
Is 3 a factor of (-3)/(-27) - (-13 - (-403104)/(-54))?
False
Suppose -20*g = 45*g - 227695. Is 31 a factor of g?
True
Let r(j) = -j - 13. Let y(s) = -2*s - 27. Let l(d) = -13*r(d) + 6*y(d). Let z be l(-19). Is 8/z*-3 + 49 a multiple of 10?
False
Suppose -27 = -3*g - 6. Suppose g*t - 945 = -175. Is t a multiple of 11?
True
Let t = 163 - 133. Suppose -5*v + 5*r = -t, -v - r + 15 = r. Suppose v = 2*l - 75. Is 14 a factor of l?
True
Let p = 1943 + -1300. Let z = -294 + p. Is 54 a factor of z?
False
Suppose -18*x = 2*s - 12*x - 34, -s + x - 3 = 0. Suppose -2*q = 3*q - 1675. Suppose q = -s*t + 7*t. Does 10 divide t?
False
Suppose -2*f + 6 = 4*z, -f = 2*f + 15. Suppose -z*o + 0*o = 4*m - 100, -5*o = -2*m - 111. Suppose o*s - 15*s - 24 = 0. Is 2 a factor of s?
False
Suppose -26 = -2*d + 6*d + 2*c, -2*c + 2 = 0. Let n(y) = 25*y**2 + 18*y + 13. Does 15 divide n(d)?
False
Suppose -145*v + 62*v = -133132. Is 8 a factor of v?
False
Let v(p) = -43*p**2 + 3*p + 1. Let o be v(-1). Let w = 100 + o. Suppose -2*i + 3*j + 17 = -w, 5*j = -4*i + 188. Does 6 divide i?
True
Suppose -i = -5 + 6. Let k be i/(-3)*(0 - 0/(-2)). Suppose k = 3*j - 427 - 437. Is j a multiple of 18?
True
Let c = 20 + -16. Suppose c*y - 72 - 12 = 0. Is 459/y + (-3)/(-21) a multiple of 5?
False
Let p(q) = -8*q**2 + 922*q - 184. Is 12 a factor of p(96)?
False
Suppose -10*w + 3 = -2*n - 7*w, 0 = -5*n + 5*w. Suppose -4*g - 684 = -2*u, n*u - 14*g + 15*g = 1061. Does 51 divide u?
False
Suppose -4*u + 0*b + 759 = 3*b, u - 186 = 3*b. Let w = u + -176. Is w even?
False
Let o(d) = 9*d**2 - 89*d + 9. Let k = 3 + 8. Does 17 divide o(k)?
True
Suppose 129779 = 15*c - 47861 + 25390. Is c a multiple of 50?
True
Suppose 236*f - 200926 = 225*f. Is f a multiple of 216?
False
Suppose -1 = -6*o + 41. Suppose j = 4*c + 212, -443 + o = -2*j + 2*c. Does 22 divide j?
True
Suppose h = 5*o - 6, -o + 2*o = 4*h - 14. Suppose -3*d - 5*v - 50 = -h*d, 2*d + 5*v - 115 = 0. Suppose -2*s - d = -337. Is s a multiple of 27?
False
Is (4/15)/(17/(-7293))*-40 a multiple of 44?
True
Let t = 36 - 28. Let f(d) = 2*d**2 - 10*d + 72. Is 24 a factor of f(t)?
True
Suppose 341*q = 377*q - 567608 - 710248. Does 12 divide q?
True
Suppose -23*p + 8498 + 1967 = 0. Let k = -65 + p. Is k a multiple of 26?
True
Suppose 47*b = -2*p + 49*b + 49204, 10*b = -4*p + 98352. Is 20 a factor of p?
False
Let m = 2144 - 3 | {
"pile_set_name": "DM Mathematics"
} |
ivided by o?
1
Suppose 2*i - 19 = 5*p, -5*i + 2*p + 12 = -2*i. Suppose -i*y + 539 - 192 = 3*c, y = -c + 115. What is the remainder when c is divided by (-4 - 9/(-2))*34?
15
What is the remainder when -276*16/((-512)/40) is divided by 169?
7
Let k = 395 - 447. Let z = 6 - 3. Calculate the remainder when (z - (-123)/(-39)) + (-1204)/k is divided by 3.
2
Let o(d) = -7*d + 87. Let k be o(16). Calculate the remainder when 152 is divided by k/10*310/(-25).
28
Suppose -14*y = 41*y - 564 - 316. What is the remainder when 312 is divided by y?
8
Suppose -16*k - 1861 = -5861. Let t = -196 + k. Calculate the remainder when t is divided by 21.
12
Let j = 9106 + -8992. What is the remainder when 227 is divided by j?
113
Let s = 36162 + -35982. What is the remainder when 7916 is divided by s?
176
Let i(g) = -12*g - 50. Let r be i(-4). Let b(f) = -42*f - 43. Calculate the remainder when 163 is divided by b(r).
40
Let p(y) = 264*y + 5626. What is the remainder when p(-19) is divided by 285?
40
What is the remainder when 3061/9 - 151/1359 is divided by 87?
79
Let y = -1380 + 1470. What is the remainder when 532 is divided by y?
82
Suppose -3*t = w - 31, 3*t + 46 + 95 = 3*w. Let h = w - 25. Let r(u) = -u**3 + 38*u**2 + 58*u - 2192. Calculate the remainder when h is divided by r(38).
6
Suppose 0 = -5*b - 4*l + 36, -9 = -2*b + 4*l - 17. Suppose -3*x = 2*q - 56, 2*q - b*x - 32 = -x. What is the remainder when q is divided by 4?
2
Let o(z) = 2*z**3 + 3*z + 3. What is the remainder when 70 is divided by o(0)?
1
Let a be (-2)/14 + (-1034)/14. Let o = 77 + a. Suppose -o*w + 130 = -59. Calculate the remainder when w is divided by 14.
7
Let p(v) = -3*v**3 - 49*v**2 + 15*v - 21. Let r = 5 - -14. Calculate the remainder when p(-17) is divided by r.
17
Calculate the remainder when 192 is divided by (-315)/(-45) + (1 - (-6 + -1)).
12
What is the remainder when 192 is divided by 14 + 3 + -16 + 19?
12
Let x(w) = -w**2 - 14*w - 2. Let d be x(-11). Suppose 2*y = 41 + d. Let p = y + -26. What is the remainder when 19 is divided by p?
9
Let r(c) = c**3 + 7*c**2 - 12*c + 3. What is the remainder when 2591 is divided by r(2)?
11
Suppose 58 = 4*g - 2*g. Suppose h + 85 = 134. Suppose 3*q - h = -f, -12*q - 5*f + 85 = -7*q. What is the remainder when g is divided by q?
13
Suppose 11*g + 1187 - 3442 = 0. Let v = 353 - g. Calculate the remainder when v is divided by 76.
72
Let c(m) = -m**3 + 18*m**2 - 62*m + 212. Calculate the remainder when 1168 is divided by c(12).
172
Let u = 28 + -1. Suppose -6*i + u + 45 = 0. Calculate the remainder when ((-18)/15)/(i/(-440)) is divided by 15.
14
Suppose -5*h + u = -7, -202*h - 5*u = -204*h - 11. Calculate the remainder when 97 is divided by h.
1
Let u(g) be the first derivative of g**4/4 + 17*g**3/3 + 6*g**2 - 53*g + 149. Calculate the remainder when 47 is divided by u(-16).
3
Let b(j) = -23*j + 25. Let h(f) = -2*f**2 - f + 12. Suppose 5*c + 28 = 28. Calculate the remainder when b(-3) is divided by h(c).
10
Let r be (4/3)/(287/(-42) + 7). Suppose -r*k - 70 = -15*k. Let t = -40 + 74. Calculate the remainder when t is divided by k.
4
Let g be (4 - (130 - 0)) + 0. Let v = g + 56. Let a = v + 106. What is the remainder when 95 is divided by a?
23
Let n(x) = -4*x**2 - 35*x - 39. Let i(q) = -2*q**3 - q**2 + 3*q + 4. What is the remainder when i(-4) is divided by n(-6)?
23
Suppose 328 = 29*j - 73 + 111. Calculate the remainder when 81 is divided by j.
1
Let c(b) = b**3 - 7*b**2 + 4*b - 4. What is the remainder when c(8) is divided by 820/21 + (-212)/4452?
14
Suppose -13*p = -6017 - 4513 - 6851. Calculate the remainder when p is divided by 330.
17
Let n be -2 - 21/(-3 - 0). Suppose 5*x = -5*u + 115, -2*u - 3*x = -n*u + 39. Suppose 0 = -4*c + 7*c - 90. Calculate the remainder when c is divided by u.
12
Suppose -15*l - 48 = -21*l. Suppose 4*y = -5*h + 245, 5*h + y = 129 + 101. What is the remainder when h is divided by l?
5
Let d = 195 + -171. Calculate the remainder when (22/(-6))/(2/(-78)) is divided by d.
23
Let y = 4561 - 4391. Calculate the remainder when 508 is divided by y.
168
Suppose -45 = 3*l - 27. Let f(s) = 8*s**2 + 28*s + 138. Calculate the remainder when f(l) is divided by 65.
63
Suppose 4 = -4*x + 56. What is the remainder when ((-12)/(-2) - (-238 + 76)) + -14 is divided by x?
11
What is the remainder when 2445 is divided by (404/(-303))/(1/(-27))?
33
Let q = 4669 + -4613. Calculate the remainder when 369 is divided by q.
33
Suppose -8*l + 452 + 220 = 0. Let a = l + -43. Calculate the remainder when a is divided by 23.
18
Let n be (-47)/(-7) + (-10)/(-35). Suppose 0 = -h + m - n, h = -h - 5*m. What is the remainder when 3/h + (324/15 - -3) is divided by 15?
9
Suppose 0 = -2*j - j - 21. Let u = j + 17. Suppose -261 - 55 = -158*n. Calculate the remainder when u is divided by n.
0
Suppose 83*o = -56*o + 39893. Calculate the remainder when o is divided by 27.
17
Let s = 25100 - 25022. What is the remainder when 4749 is divided by s?
69
Suppose 7*q - 450 = 10*q. Let l be q/(-60) - (-1)/2. Suppose d - 124 = -l*d. What is the remainder when 122 is divided by d?
29
Let b be ((-8)/40)/(4/20). Let n(z) = -43*z**3 - 2*z**2 - 2*z. What is the remainder when n(b) is divided by 9?
7
Let f(n) = n**3 + 11*n**2 - 9*n - 44. What is the remainder when f(-10) is divided by 4?
2
Let u be (-10432)/(-16)*1/(-2). Let y = u - -533. Calculate the remainder when y is divided by 18.
9
Let o be (-3291 - (-6)/3) + 10 + -6. Calculate the remainder when (-1)/(-3) + (5 - o/27) is divided by 5.
2
Suppose -105 = -6*v - 21. Suppose v*a - 339 = 11*a. What is the remainder when a is divided by 15?
8
Let g(c) = -62*c + 3335. What is the remainder when g(52) is divided by 228/5 - 4/(-10)?
19
Let l = 1701 - 1694. Calculate the remainder when 7 is divided by l.
0
Let w = 3614 + -5582. Calculate the remainder when (w/(-26))/2 - 18/(-117) is divided by 1.
0
Calculate the remainder when 1822 is divided by ((42/(-105))/((-4)/(-365)))/((-2)/4).
70
Let u(i) = 16*i**2 - 120*i + 1156. Calculate the remainder when u(9) is divided by 81.
76
Let d = 641 - -141. Suppose 3*b + 299 = 15*w - 13*w, 4*b = -5*w + d. What is the remainder when w is divided by 54?
46
Let z = 12673 + -12600. Calculate the remainder when 4/(-14) + (-3061)/(-7) is divided by z.
72
Let i(q) = -q**2 - 16*q - 13. Suppose 2*n = 3*m + 39, -4*m - 18 = -3*m + n. Let v be i(m). Calculate the remainder when 35 is divided by -1 - -8 - 5/((-5)/v).
8
Suppose -4*x - 44 = 3*g + g, -5*g - 5 = 0. Let a(r) = -55*r + 196. Let n be a(4). Calculate the remainder when 9 is divided by n/x*(1/(-2) - -3).
3
Suppose 0*u + 3*u - 267 = 0. Let m = -43 + u. Calculate the remainder when m is divided by (-24 + 8)*3/(-18)*3.
6
Suppose -t + 4*f = -5*t + 16, -4*f = -4*t + 16. What is the remainder when 23 is divided by (t - 8)/(-4 + 30/9)?
5
Let h = 377 + -346. Let r(d) = d**2 - 26*d + 149. Calculate the remainder when r(h) is divided by 61.
60
Let u(s) = s**2 + 7*s + 7. Let v be (1*-3)/((-12)/8)*-4. Calculate the remainder when 116 is divided by u(v).
11
Let q be 2/4*0/6. Let k be (-304 + (2 - q))/((-8)/4). Suppose 5*x + 292 = 3*m, k = -5*m - 2*x + 679. What is the remainder when m is divided by 36?
32
Let x = 13428 - 13253. Calculate the remainder when 671 is divided by x.
146
Let r(j) = -2*j. Let s be r(2). Let z be -2*-7*2/s. Let u(o) = -o**2 - 10*o - 6. Calculate the remainder when 40 is divided by u(z).
10
Let c = 256 - 259. What is the remainder when 66 is divided by 24 - (4 + (c - 1))*-1?
18
What is the remainder when 771 is divided by ((-82)/4)/(19 - 156/8)?
33
Let q(x) = x**2 - 35*x - 53. Let m = 174 + -137. Calculate the remainder when 80 is divided by q(m).
17
Suppose -15*v + 9*v + 204 = 0. Let l(p) = -4 + p**2 + 33*p**3 - 4*p + 1 - v*p**3. What is the remainder when 48 is divided by l(-2)?
14
Let j(o) = -o**3 - 20*o**2 + 17*o + 19. Let c be j(-20). Let i be c*(-4 + 6 + -3). Suppose -i - 113 = -14*g. Calculate the remainder when 59 is divided by g.
28
Let n(l) = l**2 + 12*l + 381. Let i be (2 + 0 + -2)/((-50)/(-50)). Calculate the remainder when n(i) is divided by 16.
13
Let g = 1008 - 442. What is the remainder when g is divided by 32?
22
Let f(z) = -49*z + 17. Suppose -538*x + 536*x = 0. What is the remainder when ((-8)/6)/(1/(-33)) is div | {
"pile_set_name": "DM Mathematics"
} |
at is 0.00009200672 rounded to six dps?
0.000092
What is -141839.5 rounded to the nearest one hundred?
-141800
Round -0.01105151 to three decimal places.
-0.011
Round 16.343 to the nearest 10.
20
What is -0.0203872 rounded to five decimal places?
-0.02039
What is -12148.89 rounded to the nearest 1000?
-12000
Round 540762160 to the nearest one million.
541000000
What is -2471790 rounded to the nearest 10000?
-2470000
What is 5632713000 rounded to the nearest 1000000?
5633000000
Round -0.005732321 to five dps.
-0.00573
Round -1035735.7 to the nearest one hundred thousand.
-1000000
What is 118.67612 rounded to 0 dps?
119
What is 0.04566022 rounded to four decimal places?
0.0457
Round -73.209795 to one decimal place.
-73.2
What is -27624.478 rounded to the nearest one hundred?
-27600
Round 0.00007457644 to seven decimal places.
0.0000746
What is 2600089 rounded to the nearest one million?
3000000
Round 25644010 to the nearest one hundred thousand.
25600000
What is 6233346 rounded to the nearest ten thousand?
6230000
Round 4623.311 to the nearest integer.
4623
Round -362144000 to the nearest 1000000.
-362000000
Round -605.68348 to the nearest ten.
-610
What is 0.3332939 rounded to 1 dp?
0.3
What is -2890.8067 rounded to the nearest 100?
-2900
What is 34132.29 rounded to the nearest 1000?
34000
Round 112.6196 to one decimal place.
112.6
Round 0.0000023002007 to 7 decimal places.
0.0000023
Round -1182.489 to the nearest 100.
-1200
What is -185566.9 rounded to the nearest ten thousand?
-190000
Round -0.862327 to two decimal places.
-0.86
What is -0.0023324042 rounded to five decimal places?
-0.00233
What is 0.000445853 rounded to seven dps?
0.0004459
Round 58.21595 to the nearest ten.
60
What is 0.308194 rounded to 3 decimal places?
0.308
Round -0.0005196519 to five dps.
-0.00052
What is -0.1036967 rounded to two decimal places?
-0.1
What is 0.0000006068151 rounded to 7 decimal places?
0.0000006
Round 581828.3 to the nearest 1000.
582000
Round -192.1125 to the nearest 10.
-190
What is 7448.346 rounded to the nearest 100?
7400
What is -0.00000621152 rounded to six dps?
-0.000006
What is 1184347800 rounded to the nearest one hundred thousand?
1184300000
Round 0.0000101637 to 6 decimal places.
0.00001
Round -0.000014799062 to six dps.
-0.000015
What is 2807346 rounded to the nearest one thousand?
2807000
Round 0.1861622 to 2 decimal places.
0.19
Round 0.000647796 to six dps.
0.000648
What is -173.1452 rounded to 1 dp?
-173.1
What is 0.03954086 rounded to four dps?
0.0395
Round 40068.2 to the nearest one thousand.
40000
What is 3788.811 rounded to the nearest integer?
3789
What is -33.017796 rounded to the nearest integer?
-33
Round 1616935.8 to the nearest 10000.
1620000
Round 1134.1 to the nearest ten thousand.
0
What is -0.004208727 rounded to four decimal places?
-0.0042
What is 0.00714409 rounded to 5 dps?
0.00714
What is 0.00002129351 rounded to 5 dps?
0.00002
Round 0.1681874 to one dp.
0.2
Round 0.0002081546 to four decimal places.
0.0002
What is 44416.2 rounded to the nearest 10000?
40000
What is 21607.866 rounded to the nearest one thousand?
22000
What is 322173000 rounded to the nearest one million?
322000000
Round -0.054930675 to two decimal places.
-0.05
What is 1.276302 rounded to 3 decimal places?
1.276
Round -12351.94 to the nearest 10.
-12350
What is 0.6276 rounded to the nearest ten?
0
What is -0.000001340914 rounded to seven dps?
-0.0000013
Round -3.83705 to zero dps.
-4
Round 310109980 to the nearest one million.
310000000
Round 0.0000405697 to six dps.
0.000041
Round -177540000 to the nearest one million.
-178000000
Round -0.03188864 to 3 decimal places.
-0.032
Round 468993.6 to the nearest 100000.
500000
Round -6548.44 to the nearest 10000.
-10000
Round -74243400 to the nearest 1000000.
-74000000
Round 256349300 to the nearest one hundred thousand.
256300000
What is -2796549 rounded to the nearest 1000?
-2797000
Round -34.301328 to 1 decimal place.
-34.3
Round -0.000009697211 to 6 decimal places.
-0.00001
Round -0.000019256 to five decimal places.
-0.00002
Round -0.0016209258 to 5 decimal places.
-0.00162
Round -1404760.9 to the nearest ten thousand.
-1400000
Round 0.0000042072 to six decimal places.
0.000004
Round -41.4826 to the nearest 10.
-40
Round -3199190 to the nearest one million.
-3000000
Round 5772744 to the nearest one thousand.
5773000
What is 130.209 rounded to 0 dps?
130
Round -4231.2 to the nearest one hundred.
-4200
Round 0.0000015481734 to seven dps.
0.0000015
Round 2868333 to the nearest 1000.
2868000
Round -142.36472 to the nearest integer.
-142
What is 0.431894 rounded to one decimal place?
0.4
What is -0.03643368 rounded to 4 decimal places?
-0.0364
Round 400951500 to the nearest one hundred thousand.
401000000
Round 340.07 to the nearest one hundred.
300
What is -28.6538 rounded to the nearest ten?
-30
What is 4599650 rounded to the nearest one hundred thousand?
4600000
Round 0.003034078 to 5 decimal places.
0.00303
What is -0.0001508962 rounded to 4 dps?
-0.0002
Round 34.425 to the nearest 100.
0
What is -0.0819421 rounded to 4 decimal places?
-0.0819
What is 6.9561 rounded to two decimal places?
6.96
Round 2758288.7 to the nearest one hundred thousand.
2800000
Round -65603340 to the nearest one million.
-66000000
Round -2195542 to the nearest 10000.
-2200000
What is -342.3467 rounded to the nearest 10?
-340
What is -0.24680288 rounded to 4 dps?
-0.2468
Round 252501 to the nearest ten thousand.
250000
Round 0.0047305367 to 4 dps.
0.0047
Round -0.972573 to three decimal places.
-0.973
Round -0.000211827 to seven dps.
-0.0002118
Round -0.042634 to two decimal places.
-0.04
What is 0.0452756 rounded to 4 dps?
0.0453
Round 0.0042929317 to five dps.
0.00429
Round 22157.2 to the nearest 100.
22200
Round -1318.2 to the nearest one hundred.
-1300
What is -391666 rounded to the nearest ten thousand?
-390000
What is -0.035089 rounded to two decimal places?
-0.04
What is 0.00041417701 rounded to seven dps?
0.0004142
What is -5488.166 rounded to the nearest one thousand?
-5000
What is 51070.03 rounded to the nearest one thousand?
51000
Round 11.27837 to the nearest integer.
11
Round -0.00001514857 to 7 decimal places.
-0.0000151
Round -0.1378014 to 1 dp.
-0.1
Round -6651642 to the nearest 10000.
-6650000
Round 0.025207009 to three decimal places.
0.025
What is 0.0020566457 rounded to seven dps?
0.0020566
What is -23326200 rounded to the nearest one hundred thousand?
-23300000
What is 1757.9665 rounded to the nearest one thousand?
2000
Round 1614.803 to the nearest one thousand.
2000
Round -0.00081975744 to five decimal places.
-0.00082
Round 133130300 to the nearest one million.
133000000
Round -1.947287 to 2 dps.
-1.95
Round -761400 to the nearest ten thousand.
-760000
Round -0.0011739734 to 4 dps.
-0.0012
Round -0.0000799479 to seven decimal places.
-0.0000799
Round -475.388 to the nearest integer.
-475
What is 1243168.2 rounded to the nearest 100000?
1200000
Round -13122.1623 to the nearest 100.
-13100
What is 10914330 rounded to the nearest one million?
11000000
Round -320445500 to the nearest 100000.
-320400000
Round -6418100 to the nearest one million.
-6000000
Round 52.14948 to two dps.
52.15
What is -1166.298 rounded to the nearest one hundred?
-1200
Round 0.02265826 to 2 dps.
0.02
Round -12245.83 to the nearest one hundred.
-12200
Round -1.828031 to three dps.
-1.828
Round -711625.6 to the nearest 100000.
-700000
What is -1981.729 rounded to the nearest 1000?
-2000
Round 8593190 to the nearest one hundred thousand.
8600000
Round 0.3618467 to 2 decimal places.
0.36
What is -41518460 rounded to the nearest ten thousand?
-41520000
What is -0.00000129665 rounded to 7 dps?
-0.0000013
What is -0.023367 rounded to 3 dps?
-0.023
Round -5697.7617 to the nearest 10.
-5700
What is 2757550 rounded to the nearest 10000?
2760000
What is 0.000652912 rounded to 6 decimal places?
0.000653
What is -263413.91 rounded to the nearest 10000?
-260000
What is -984.227 rounded to the nearest one thousand?
-1000
What is -10445.3 rounded to the nearest one thousand?
-10000
What is -442632.7 rounded to the nearest 100?
-442600
What is 8.404537 rounded to two decimal places?
8.4
Round -0.000209233 to 5 dps.
-0.00021
Round 42589.1 to the n | {
"pile_set_name": "DM Mathematics"
} |
, 7457
What are the prime factors of 563975?
5, 17, 1327
List the prime factors of 5725236.
2, 3, 11, 3943
List the prime factors of 289079.
7, 61, 677
List the prime factors of 603178.
2, 191, 1579
List the prime factors of 376220.
2, 5, 13, 1447
List the prime factors of 21098.
2, 7, 11, 137
List the prime factors of 101103.
3, 67, 503
List the prime factors of 3078785.
5, 17, 29, 1249
List the prime factors of 1006974.
2, 3, 43, 1301
What are the prime factors of 2503736?
2, 312967
List the prime factors of 455012.
2, 19, 5987
What are the prime factors of 1771997?
19, 93263
What are the prime factors of 15987639?
3, 307, 17359
List the prime factors of 420922.
2, 210461
What are the prime factors of 3615389?
3615389
List the prime factors of 3047964.
2, 3, 17, 67, 223
List the prime factors of 712183.
712183
What are the prime factors of 1489611?
3, 67, 7411
List the prime factors of 1632544.
2, 17, 3001
List the prime factors of 1353298.
2, 676649
List the prime factors of 7444447.
19, 467, 839
List the prime factors of 1065577.
17, 19, 3299
What are the prime factors of 39411651?
3, 13137217
What are the prime factors of 1365865?
5, 17, 16069
List the prime factors of 732089.
19, 53, 727
List the prime factors of 7570979.
13, 23, 25321
List the prime factors of 3364056.
2, 3, 46723
List the prime factors of 7719114.
2, 3, 13, 98963
What are the prime factors of 1769198?
2, 167, 5297
List the prime factors of 317818.
2, 158909
List the prime factors of 163059.
3, 13, 37, 113
What are the prime factors of 8954838?
2, 3, 497491
List the prime factors of 1725979.
19, 90841
List the prime factors of 1111626.
2, 3, 61757
List the prime factors of 4173654.
2, 3, 19, 31, 1181
What are the prime factors of 764021?
764021
What are the prime factors of 2244828?
2, 3, 187069
What are the prime factors of 844729?
353, 2393
List the prime factors of 20788080.
2, 3, 5, 37, 2341
What are the prime factors of 28879?
28879
List the prime factors of 4015594.
2, 11, 349, 523
List the prime factors of 1845683.
7, 5381
What are the prime factors of 16388109?
3, 606967
List the prime factors of 909698.
2, 454849
What are the prime factors of 729574?
2, 283, 1289
List the prime factors of 330218.
2, 7, 103, 229
List the prime factors of 932048.
2, 13, 4481
List the prime factors of 100067.
11, 827
What are the prime factors of 4166584?
2, 41, 12703
List the prime factors of 821515.
5, 43, 3821
List the prime factors of 1229674.
2, 197, 3121
List the prime factors of 47329.
19, 47, 53
What are the prime factors of 3127646?
2, 109, 14347
List the prime factors of 266419.
263, 1013
List the prime factors of 4349988.
2, 3, 120833
What are the prime factors of 795010?
2, 5, 107, 743
List the prime factors of 4769247.
3, 7, 19, 11953
List the prime factors of 501896.
2, 43, 1459
What are the prime factors of 52463?
23, 2281
List the prime factors of 1382727.
3, 37, 12457
What are the prime factors of 2486827?
7, 355261
What are the prime factors of 1944605?
5, 13, 29917
List the prime factors of 1279111.
1279111
What are the prime factors of 584270?
2, 5, 58427
What are the prime factors of 15529395?
3, 5, 7, 131, 1129
What are the prime factors of 4578014?
2, 7, 327001
What are the prime factors of 3414909?
3, 17, 66959
What are the prime factors of 208339?
157, 1327
List the prime factors of 1040492.
2, 269, 967
List the prime factors of 22414357.
7, 19, 127, 1327
List the prime factors of 3915876.
2, 3, 326323
List the prime factors of 13218534.
2, 3, 7, 2141
What are the prime factors of 218047?
218047
List the prime factors of 488489.
557, 877
What are the prime factors of 24198083?
7, 13, 59, 4507
List the prime factors of 1047414.
2, 3, 174569
List the prime factors of 1425444.
2, 3, 118787
What are the prime factors of 2156296?
2, 23, 11719
What are the prime factors of 37165555?
5, 7, 229, 4637
What are the prime factors of 405031?
11, 36821
What are the prime factors of 742537?
742537
List the prime factors of 539971.
17, 23, 1381
What are the prime factors of 3174?
2, 3, 23
What are the prime factors of 51193?
51193
What are the prime factors of 15812144?
2, 179, 5521
What are the prime factors of 797213?
811, 983
What are the prime factors of 2196929?
7, 283, 1109
What are the prime factors of 1603295?
5, 320659
List the prime factors of 3815072.
2, 17, 7013
List the prime factors of 2131122.
2, 3, 7, 50741
List the prime factors of 1582310.
2, 5, 158231
List the prime factors of 3675032.
2, 23, 19973
List the prime factors of 148630.
2, 5, 89, 167
List the prime factors of 5304550.
2, 5, 277, 383
What are the prime factors of 293043?
3, 23, 31, 137
List the prime factors of 3494022.
2, 3, 7, 23, 3617
List the prime factors of 104814.
2, 3, 647
What are the prime factors of 2850378?
2, 3, 271, 1753
List the prime factors of 1568066.
2, 61, 12853
List the prime factors of 1193302.
2, 11, 4931
List the prime factors of 152515.
5, 11, 47, 59
What are the prime factors of 3677010?
2, 3, 5, 23, 73
List the prime factors of 197777.
23, 8599
List the prime factors of 144146.
2, 72073
List the prime factors of 1915114.
2, 957557
List the prime factors of 22853.
22853
What are the prime factors of 2561788?
2, 197, 3251
List the prime factors of 42155255.
5, 8431051
List the prime factors of 9601745.
5, 19, 53, 1907
What are the prime factors of 1275488?
2, 23, 1733
What are the prime factors of 493914?
2, 3, 263, 313
What are the prime factors of 153501?
3, 19, 2693
What are the prime factors of 22347985?
5, 11, 406327
What are the prime factors of 11237561?
17, 173, 3821
List the prime factors of 3206203.
7, 11, 13, 3203
List the prime factors of 1678258.
2, 239, 3511
List the prime factors of 193174.
2, 96587
List the prime factors of 1541247.
3, 513749
List the prime factors of 3361539.
3, 1120513
What are the prime factors of 25930851?
3, 2609, 3313
List the prime factors of 312916.
2, 78229
What are the prime factors of 3167737?
19, 166723
What are the prime factors of 348690?
2, 3, 5, 59, 197
What are the prime factors of 576485?
5, 7, 13, 181
What are the prime factors of 2724342?
2, 3, 31, 97, 151
List the prime factors of 108217.
108217
List the prime factors of 4959748.
2, 83, 14939
List the prime factors of 12591849.
3, 17, 246899
What are the prime factors of 8850303?
3, 7, 11, 43
List the prime factors of 7606406.
2, 3803203
What are the prime factors of 4558936?
2, 19, 89, 337
List the prime factors of 1022787.
3, 23, 61
What are the prime factors of 7854028?
2, 7, 13, 21577
List the prime factors of 272704.
2, 4261
List the prime factors of 121331.
7, 17333
What are the prime factors of 4113286?
2, 17, 311, 389
List the prime factors of 4376946.
2, 3, 7, 23, 197
List the prime factors of 49801.
49801
What are the prime factors of 3067460?
2, 5, 11, 73, 191
List the prime factors of 239913.
3, 19, 23, 61
List the prime factors of 1102647.
3, 7, 13, 577
What are the prime factors of 26418801?
3, 41, 214787
List the prime factors of 1564717.
7, 11, 2903
List the prime factors of 511816.
2, 63977
What are the prime factors of 4300399?
37, 71, 1637
List the prime factors of 1804926.
2, 3, 300821
What are the prime factors of 13987899?
3, 281, 5531
List the prime factors of 147369.
3, 49123
What are the prime factors of 950172?
2, 3, 79181
What are the prime factors of 157572?
2, 3, 1459
List the prime factors of 211021.
17, 12413
What are the prime factors of 1421651?
7, 11, 37, 499
What are the prime factors of 18685423?
18685423
What are the prime factors of 122525?
5, 13, 29
List the prime factors of 2911567.
37, 78691
What are the prime factors of 4466252?
2, 7, 22787
List the prime factors of 29379327.
3, 1069, 9161
List the prime factors of 7256814.
2, 3, 1209469
What are the prime factors of 101468?
2, 25367
List the prime factors of 629459.
17, 61, 607
List the prime factors of 4548708.
2, 3, 29, 4357
What are the prime factors of 773553?
3, 11, 2131
What are the prime factors of 592740?
2, 3, 5, 37, 89
What are the prime factors of 247916?
2, 61979
What are the prime factors of 6013738?
2, 709, 4241
List the prime factors of 226753.
226753
List the prime factors of 172788.
2, 3, 7, 11, 17
List the prime factors of 312725.
5, 7, 1787
What ar | {
"pile_set_name": "DM Mathematics"
} |
. Let y(c) = -20*c - 5. Let a be y(x). Suppose -6 - a*u**3 + 15*u + 30*u**4 - 16*u**5 + 5*u**3 + 7*u**5 = 0. Calculate u.
-2/3, 1
Let x = 13 + -10. Factor -3*k**x + 8*k**2 - 3*k + k**3 + 0*k**2 - 3*k.
-2*k*(k - 3)*(k - 1)
Suppose -6*k**3 - 344/3*k + 52*k**2 - 2/3*k**4 + 80 = 0. Calculate k.
-15, 2
Let i = -2878 + 2882. What is s in 0 - 4/3*s**2 + 2/3*s**5 + 2*s + 4/3*s**i - 8/3*s**3 = 0?
-3, -1, 0, 1
Suppose 4*a**3 + a**5 - 4*a - 6*a + 2*a**2 + 5*a + 2 - a**4 - 3*a**4 = 0. Calculate a.
-1, 1, 2
Factor -120*w**2 + 110*w**3 - 13*w**5 - 40*w**4 - 28*w**5 + 46*w**5 + 45*w.
5*w*(w - 3)**2*(w - 1)**2
Let g be 2*-1 + (1760/108 - 14). Let z(r) be the first derivative of 4/9*r**2 - 7/18*r**4 + 0*r + 2 - g*r**3 - 4/45*r**5. Solve z(j) = 0 for j.
-2, 0, 1/2
Let x(n) = -n**3 - n**2 - 2*n. Let a be x(-2). Suppose 0 = -0*f - 4*f + a. Factor -3*y**4 + 2*y**5 - f + 2 + y**4.
2*y**4*(y - 1)
Suppose -5/8*b**4 + 13/8*b**2 - 9/8*b**3 - 1 + 3/8*b**5 + 3/4*b = 0. Calculate b.
-4/3, -1, 1, 2
Let p = 4 - 1. Suppose -7*y + 24 = -p*y. Factor 0*b**4 + y*b**2 - 4*b**2 + 2*b**4 - 4*b**3.
2*b**2*(b - 1)**2
Let x be 2 - ((-2)/(-7) - 60/(-35)). Let l(r) be the first derivative of -2*r**2 - 7/4*r**4 + 2 - 16/3*r**3 + x*r. Factor l(t).
-t*(t + 2)*(7*t + 2)
Let v(j) be the first derivative of -j**5/35 + 3*j**4/28 + 23*j**3/21 + 33*j**2/14 + 2*j + 356. Factor v(c).
-(c - 7)*(c + 1)**2*(c + 2)/7
Let t = 7 - 2. Suppose -7 = t*p - 17. Factor 8 + 67*k + 189*k**p - 4*k**2 + 153*k**2 - 171*k.
2*(13*k - 2)**2
Let j be ((-234)/(-5) - 4)*-5. Let n = -640/3 - j. Factor -n*z**2 + 1/3*z + 0 + 1/3*z**3.
z*(z - 1)**2/3
Let n(b) be the second derivative of -1/42*b**4 - 1/42*b**3 + 0 - 37*b + 5/7*b**2. Solve n(l) = 0.
-5/2, 2
Suppose 99/5*g - 6*g**3 - 6/5*g**4 + 54/5 + 24/5*g**2 + 3/5*g**5 = 0. Calculate g.
-2, -1, 3
Let v(y) be the third derivative of y**5/20 + 5*y**4/8 + 3*y**3 - 4*y**2 - 26*y. What is a in v(a) = 0?
-3, -2
Suppose 0 = s + 5*s - 18. Suppose -2*d + s*d + 0*d = 0. Factor d - 2/9*f + 2/9*f**3 + 0*f**2.
2*f*(f - 1)*(f + 1)/9
Let s(x) = 9*x**3 + 133*x**2 + 38*x - 8. Let p(f) = 46*f**3 + 664*f**2 + 190*f - 44. Let a(o) = 6*p(o) - 33*s(o). Factor a(l).
-3*l*(l + 19)*(7*l + 2)
Let w(d) be the third derivative of 0*d + 0 - 9*d**2 - 1/450*d**5 + 1/180*d**4 + 0*d**3. Factor w(l).
-2*l*(l - 1)/15
Let a(d) be the third derivative of d**8/784 - d**7/98 - d**6/35 + 3*d**5/35 - 2*d**2 - 33. Suppose a(p) = 0. Calculate p.
-2, 0, 1, 6
Let p(v) be the first derivative of v**6/120 + 3*v**5/20 - 7*v**4/8 - 22*v**3/3 - 15. Let m(a) be the third derivative of p(a). What is g in m(g) = 0?
-7, 1
Let s = -28 + 16. Let a = s - -26. Let 6 - a*g**2 - 12*g**2 - 2*g**2 + g**2 + 15*g + 21*g**4 - 15*g**3 = 0. What is g?
-1, -2/7, 1
Suppose 0 = -4*c - 0*c + 5*t + 24, 2*t - 24 = -4*c. Suppose -9*o = -0*o - c*o. Factor 2*y**2 + 0*y + o - 2/3*y**3.
-2*y**2*(y - 3)/3
Let j(c) be the first derivative of -3*c**4/4 - 6*c**3 - 15*c**2/2 - 675. Factor j(k).
-3*k*(k + 1)*(k + 5)
Let n(m) = m**3 - 83*m**2 + 161*m + 83. Let x be n(81). Factor 3*r**4 - 3*r**x - 5/2*r + 0 + 2*r**3 + 1/2*r**5.
r*(r - 1)*(r + 1)**2*(r + 5)/2
Suppose 33*j - 40*j = -12*j + 15. What is k in 4/9*k**4 + 0 + 8/9*k**2 + 0*k - 4/3*k**j = 0?
0, 1, 2
Let y be (3/(-2))/(36/(-96)). Factor y*u**4 - u**5 - u**5 - 2*u**2 + 4*u**2 + 2*u**3 - 6*u**4.
-2*u**2*(u - 1)*(u + 1)**2
Let a(w) be the third derivative of -w**5/210 - 16*w**4/21 - 1024*w**3/21 + 118*w**2. Let a(m) = 0. What is m?
-32
Let f be (-194)/(-22) + 26/143. Factor -h + 3*h + 8 - 6*h**2 - h - f*h.
-2*(h + 2)*(3*h - 2)
Let l(s) = -40*s - 38. Let j be l(-1). Let a(i) be the first derivative of 5/6*i**4 + 0*i + 8/15*i**5 + 0*i**j + 4/9*i**3 + 1/9*i**6 + 3. Factor a(y).
2*y**2*(y + 1)**2*(y + 2)/3
Let k = -6/577 - -1292/13271. Factor -2/23*c**5 + 0 + 0*c**2 + 0*c**4 + 4/23*c**3 - k*c.
-2*c*(c - 1)**2*(c + 1)**2/23
Let l = -4/141 + 149/282. Let y(f) be the first derivative of l*f**4 + 0*f + 14/45*f**5 + 4 + 0*f**2 + 4/27*f**3. Determine v so that y(v) = 0.
-1, -2/7, 0
Let r(c) = -3*c**3 - 192*c - 10*c**3 + 204*c + c**2. Let h(g) = 3*g**3 - 3*g. Let z(d) = 9*h(d) + 2*r(d). Let z(l) = 0. Calculate l.
-3, 0, 1
Let c(k) = -k**2 - 8*k + 10. Let i(b) = 6*b + 15. Let m be i(-4). Let v be c(m). Find g, given that -v + 3/2*g - 1/2*g**2 = 0.
1, 2
Suppose 4*u = -20, 2*u + 14 = n - 0*n. Let o be 1 - (-6)/(-15)*10/n. Factor 2/3*d**2 - 1/3*d**4 + 0*d + o - 1/3*d**3.
-d**2*(d - 1)*(d + 2)/3
Let m be (-112)/(-168) - (-3 + 26/12). Factor -m - k + 1/2*k**2.
(k - 3)*(k + 1)/2
Let o(b) be the first derivative of 34*b**3/15 - 11*b**2/5 - 12*b/5 + 141. Factor o(p).
2*(p - 1)*(17*p + 6)/5
Let j(w) be the second derivative of 32/15*w**6 + 4/5*w**5 + 2*w + 2/3*w**7 + 0 - 14/3*w**4 - 22/3*w**3 - 4*w**2. Solve j(n) = 0 for n.
-1, -2/7, 1
Find s such that 3/5*s**4 - 6/5*s**2 + 11/5*s**3 + 0 - 8/5*s = 0.
-4, -2/3, 0, 1
Let o be (-636)/30 - 1/(5/4). Let t = -20 - o. Find p such that -8/7*p + 8/7 + 2/7*p**t = 0.
2
Let j(s) be the first derivative of 2*s**5/45 - 7*s**4/18 - 2*s**3/9 + 55*s**2/9 + 100*s/9 + 957. Factor j(w).
2*(w - 5)**2*(w + 1)*(w + 2)/9
Let i(a) = -2*a**4 - 264*a**3 + 8448*a**2 + 17692*a + 8978. Let c(b) = 3*b**4 + 264*b**3 - 8449*b**2 - 17693*b - 8978. Let r(q) = -4*c(q) - 5*i(q). Factor r(z).
-2*(z - 67)**2*(z + 1)**2
Suppose 5*o - 8 = o. Let l(m) = -2*m**3 + 2*m**2 - m - 3. Let g be l(-1). What is k in 3*k + 4*k**g - o*k - 5*k = 0?
0, 1
Suppose 13*z + 6*z = 9*z. Let m(j) be the second derivative of 1/12*j**3 + 1/48*j**4 + z + 3*j + 0*j**2. Factor m(a).
a*(a + 2)/4
Suppose -4*v = 3*x - 28, 16*x + 2*v = 12*x + 24. Suppose -2/3*j**2 + 4/9 - 2/9*j**3 + 2/9*j + 2/9*j**x = 0. Calculate j.
-1, 1, 2
Let f(j) be the first derivative of -j**7/280 + j**5/10 + 8*j**3/3 - 3*j + 16. Let u(q) be the third derivative of f(q). What is d in u(d) = 0?
-2, 0, 2
Let y(q) be the first derivative of -q**5/15 + q**4 - 16*q**3/3 + 7*q**2/2 - 28. Let c(f) be the second derivative of y(f). Find v, given that c(v) = 0.
2, 4
Factor -1/6*j**5 - 61/6*j**3 + 0 - 6*j + 14*j**2 + 7/3*j**4.
-j*(j - 6)**2*(j - 1)**2/6
Let w(y) be the first derivative of 5 + 1/27*y**3 + 1/108*y**4 + 0*y - 1/540*y**6 - 2*y**2 - 1/270*y**5. Let t(h) be the second derivative of w(h). Factor t(i).
-2*(i - 1)*(i + 1)**2/9
Let b(z) be the third derivative of z**8/33600 + z**7/3150 - 11*z**4/6 + 3*z**2. Let r(p) be the second derivative of b(p). Factor r(o).
o**2*(o + 4)/5
Let b(w) be the third derivative of 0*w**3 + 1/10*w**5 + 0*w + 31*w**2 - 1/40*w**6 + 0*w**4 + 0. Factor b(j).
-3*j**2*(j - 2)
Let x(g) = 3*g**4 + 12*g**3 + 3*g**2 - 32*g - 18. Let j(p) = 14*p**4 + 49*p**3 + 12*p**2 - 130*p - 71. Let i(q) = 2*j(q) - 9*x(q). Let i(h) = 0. What is h?
-1, 2, 10
Let o(x) be the first derivative of 2*x**5/5 - 19*x**4 + 214*x**3 + 760*x**2 + 800*x + 39. Factor o(v).
2*(v - 20)**2*(v + 1)**2
Factor -2/3*l**3 + 50*l**2 + 0*l + 0.
-2*l**2*(l - 75)/3
Let z = -19 + 15. Let m(v) = v**4 - 4*v**3 + 3*v**2 + 4*v + 4. Let s(c) = -2*c**4 + 4*c**3 - 4*c**2 - 5*c - 5. Let d(a) = z*s(a) - 5*m(a). Factor d(o).
o**2*(o + 1)*(3*o + 1)
Let m = -32 + 34. Factor -14*a**2 - 2*a**3 + 34*a**m - 4*a**3 + a**3 + 25*a.
-5*a*(a - 5)*(a + 1)
Let b(k) = 8*k**2 + 41*k + 15. Let t(m) = 23*m**2 + 122*m + 45. Let f(u) = 17*b(u) - 6*t(u). Let d be f(-17). Let 8/11 - 8/11*y + 2/11*y**d = 0. What is y?
2
Suppose -3*b - 8 = -5*b. Suppose -t = 2*j + 3*j + 19, -4*j - 20 = -b*t. Factor 4*d + d**2 + 0*d**2 + t - 2*d.
(d + 1)**2
Determine j so that -624*j - 90 + 25*j**2 - j**2 - 84*j**4 + 40 + 844*j**3 - 142 + 32 = 0.
-2/3, -2/7, 1, 10
Let y(o) be the first derivative of 3/7*o**4 + 2/35*o**5 + 10/7*o**2 + 17 + 6/7*o + 8/7*o**3. Let y(j) = 0. Calculate j.
-3, -1
Let g(r) be the second derivative of 17*r - 3/8*r**5 + 5/4*r**3 + 65/72*r**4 - 11/36*r**6 - 5/6*r**2 + 0. Suppose g(a) = 0. Calculate a.
-1, 2/11, 1
Let u(k) be the second derivative of k**5/4 - 235*k**4/12 - 5*k**3/6 + 235*k**2/2 - 182*k - 1. Factor u(q).
5*(q - 47)*(q - 1)*(q + 1)
Suppose c = 5*p - 15, -25 = 6*p - 11*p - c. Let t(x) be the third derivative of 0*x - 1/120*x**5 - 6*x**2 + 0 + 0*x**p + 1/3*x**3. Solve t(n) = 0.
-2, 2
Let z = -18 + 20. Suppose 3 = s - u - 1, -z*s + u = -13. Suppose -5*n**4 - 3*n**4 + 29*n**3 - 13*n**3 + 8*n**2 - 4*n - 3*n** | {
"pile_set_name": "DM Mathematics"
} |
i and 3 have the same value?
False
Suppose -4*b = 5*w + 12, -4*b + 8 = 4*w + 20. Let i = 1 - b. Let l be (-11)/(-44) - 1/i. Which is smaller: -2/31 or l?
-2/31
Let g(a) = 50 + 3*a**2 - 4*a**2 - 37 - 11*a. Let k be g(-13). Do k and -14 have the same value?
False
Let y be (2/(-44))/(5 + (-6017)/1188). Which is greater: 2 or y?
2
Let v be 4 - 5/(-135)*-87. Is 1 at most as big as v?
False
Let d = -50474/445 - -566/5. Is -1 greater than d?
False
Suppose -3614 - 7736 = 25*m. Is -454 > m?
False
Let h = 11478/175 + -458/7. Which is smaller: -1 or h?
-1
Suppose 0 = -2*m + 4*m - 5*h + 137, -5*h = -3*m - 203. Let s = m - -67. Are s and 0.1 unequal?
True
Let j be 4/4 + 3*9. Suppose -266 = -16*q + 182. Is j at least q?
True
Suppose -6*m + 40 = -32. Let f = m - 11. Suppose -c = 2*a - 2, -6*c = -3*c - 3*a + 3. Are f and c non-equal?
True
Let n = 121 + -359. Do n and -238 have different values?
False
Let v be 13/(65/10) + 13. Are v and 9 nonequal?
True
Let g(v) = 6*v**2 - 33*v - 4. Let j be g(9). Is 185 at least as big as j?
True
Suppose 1800 = -25*z + 21*z. Is -450 at least as big as z?
True
Let a = 3.05 - -0.05. Let z = -3 + a. Which is smaller: 60 or z?
z
Let a = -256/979 - 1/89. Let b(i) = i - 3. Let p be b(7). Suppose w = p*w. Which is greater: a or w?
w
Let u = 52 - 48. Let w be u/4*(-1)/(-1). Is w <= 4/25?
False
Let h(t) = -15*t**2 + 2. Let g be h(1). Let c(y) = y**3 - 6*y**2 - y - 3. Let j be c(7). Suppose f - j = 3*o, -5*o + 4*f - 63 = 3*f. Which is greater: g or o?
o
Suppose -20*j + 161 = 1. Suppose 0 = -3*z + 5*m - 16, -5*z + 2*m - 48 - 4 = 0. Let w be z/(4 - j) + 0. Is 5 < w?
False
Suppose -2*q - f + 3*f - 32 = 0, -2*q = -f + 32. Is q greater than -16?
False
Let m = -299 - -326. Do 30 and m have different values?
True
Let m = -1 + 4. Suppose m*g - g - 10 = 0. Let o = 8 - 10. Which is smaller: o or g?
o
Suppose c = 3*j - c + 1, 4*j + 2*c - 22 = 0. Suppose -7 = -2*l + 5*i, j*i + i = 4. Does l = 7?
False
Suppose 0 = -3*z + 3*h + 126, 12*z - 8*z + 4*h - 144 = 0. Does z = 119/3?
False
Let l(y) = -y - 5. Let r be l(-9). Suppose -r*c - 320 = -8*c. Suppose -3*h - c = 2*h. Do -16 and h have different values?
False
Let g = 80 + -157/2. Is g greater than 8?
False
Let h = 24 + -8. Suppose h = 3*s + s. Suppose 0 = -0*t + 4*t + s. Which is greater: t or -3/11?
-3/11
Let q(d) = 6*d**2 + 4*d + 3. Let l be q(-1). Suppose 2*c - 4*u - 4 = 6*c, l = -c - 2*u. Is c bigger than -3?
True
Let x(b) = b + 8. Let c be x(-5). Let y(p) = -1 - 2 + 2*p**2 - 8*p + 10 - p**c + 4*p**2. Let i be y(5). Which is smaller: i or -6?
i
Let h = -2635 - -5513/2. Let s = -121 + h. Which is smaller: 1 or s?
s
Suppose -6*h = -2*h - 16. Let o be 2 - -1 - (-4)/(-1). Let p be 0 - (-4 + 5)*o. Which is smaller: p or h?
p
Suppose -4*m - 3*r - 1195 = 0, 19*r - 21*r = -6. Is -301 <= m?
True
Let s(q) = -2*q**2 + 16*q + 3. Let r be s(8). Let j be 4 - (143*(-3)/(-63) - r). Which is smaller: -1 or j?
-1
Let i(z) be the third derivative of 3*z**2 + 0*z + 0 - 1/2*z**3 + 1/24*z**4. Let r be i(5). Which is smaller: 1 or r?
1
Let v = 168/37 - 4320/1147. Are 2 and v equal?
False
Let p = -3.06 + 3. Let n = 4.09 - -203.91. Let l = -209 + n. Does l = p?
False
Let x = 7114/7 + -1330290/1309. Which is smaller: -1 or x?
-1
Let d be ((-18)/15)/((-6)/(-80)). Let m be 0 + (-812)/d - (-1)/4. Is m greater than 50?
True
Let k = 10519070/679 + -15492. Which is bigger: k or 1?
1
Let s be (-18)/10 + 4/(-20). Let b(v) = -v**3 + 2*v**2 - 3*v + 3. Let g be b(6). Let u be 4/14 - g/(-189). Is s bigger than u?
False
Let r be ((-6)/(-10))/(7/35). Let f be 4 - r*57/9. Is -16 less than f?
True
Let f(g) = 4*g**2 + 20*g - 14. Let z be 12/(-9)*((-28)/(-8) - -1). Let t be f(z). Which is greater: t or 8?
t
Let w = -2427/7 + 372. Is 24 at most w?
True
Let q = 160 - 111. Let t = 50 - q. Which is bigger: t or 13?
13
Let m = 117 + -116.887. Let n = -2.887 - m. Is -11 less than n?
True
Let t be 10/(((-16)/780)/(28/(-70))). Are t and 195 nonequal?
False
Let o be 8/(-4 + 8) + (-1 - 1). Which is smaller: -34/41 or o?
-34/41
Let z(f) = -8*f**2 + f. Let y be z(-1). Suppose -7*w - 34 = -104. Let q = w + y. Is 2/31 < q?
True
Let o = 145 + -161. Let p be (-3)/(-9) - 20/6. Is o < p?
True
Suppose 0 = 2*d + d. Suppose -4*c = -d*c - 16. Let x(b) = b**2 + b - 7. Let r be x(-4). Which is smaller: c or r?
c
Let p = -46/5 + 38/5. Is p <= -3?
False
Let y(i) = -i**3 - 17*i**2 + 6. Let c be y(-17). Suppose 3*q + 2*k - c = 7, 2*k = 10. Which is smaller: q or 3/7?
3/7
Let o = 20 - 16. Let m be 3*(2 - (-3 + o)). Suppose 0 = -4*b + 4, m*b - 2 - 5 = -4*c. Which is greater: c or -1/4?
c
Let k be (-20)/(-5) + 36/(-10). Let w be 1 + (2/(-7) - (-5)/(-7)). Are k and w nonequal?
True
Suppose -5*y + 0*y = -85. Suppose 3*d - y = 2*b, 0*b + 3*b = d - 36. Let g(f) = -5*f**2 + f + 6. Let a be g(2). Which is greater: b or a?
a
Let z = -563.43 - -606.6. Let f = z + -0.17. Let r = f - 65. Which is smaller: r or 1?
r
Let p be 6 - (-66)/(-4) - -3 - -8. Is p at most -632?
False
Let p be 3/(7 - (-132)/(-24)). Let l(x) be the first derivative of -x**3/3 + 2*x**2 + 1. Let q be l(4). Is p greater than or equal to q?
True
Let l = 6.57 + -6.5. Let x = -1.04 + -0.16. Let n = 0.2 + x. Which is greater: n or l?
l
Suppose 7 - 32 = -5*l. Let c be ((-25)/2)/l*2. Is -4 < c?
False
Suppose 0 = 4*a - 4*o - 648, 7*a + 2*o = 6*a + 150. Which is greater: 156 or a?
a
Suppose -3*w + 85 = -4*p, -5*p + 6*w - 3*w - 110 = 0. Let z = p - -203/8. Which is smaller: z or 0?
0
Let q(s) = s**2 - 20*s + 20. Let y be q(18). Let n = -0.03 + 0.03. Which is bigger: n or y?
n
Suppose 0 = 6*t - 5*t - 2. Suppose q = 3*f + 1 + t, -3 = -q + 4*f. Which is smaller: q or -2?
-2
Let z be (-3 - 0)*((-1138)/(-6) - -2). Let o be (30/z)/(1*2/(-5)). Is 1 smaller than o?
False
Let x = -2 - -7. Suppose 0 = x*o - 9 - 6. Let c be 1*2/o*-3. Is c bigger than -4?
True
Let x = 753 + -759.98. Let p = x + -0.02. Let v = p + 7.2. Is v less than -0.2?
False
Suppose 16 = -y - 3*y. Let p = 0.234 - -0.166. Which is smaller: p or y?
y
Suppose -2*n = 4*a - 28, a + 5*n - 30 = -a. Suppose 0 = -a*m + 5*f + 15, 2*m = 4*m + 3*f - 26. Which is smaller: m or 9?
m
Suppose m = 2*p + 5, -p + 2*m - 6 = -2*m. Which is smaller: p or -9?
-9
Let x be (-282)/9*(0 - (-41)/(-3)). Let p = x - 429. Which is bigger: p or -2?
p
Suppose -55 = -5*n + t, -5*n - 5*t - 8 = -33. Is 93/10 less than or equal to n?
True
Let k(o) = 0 + 2 - o - 4. Let y = 18 - 19. Let f be k(y). Is f > -2/11?
False
Let b = 2 - 2. Let s = 21.1 + -19.8. Is b at most s?
True
Suppose 3*u = 6 + 12. Suppose -u*w = -w - 2*j - 73, 4*j = 4*w - 56. Suppose g = -13*g + 182. Are w and g nonequal?
True
Let s(j) = -j**3 + 3*j**2 - 2*j. Let b be s(0). Which is bigger: b or 8/23?
8/23
Let b = -0.154 - 25.846. Is 0.1 less than or equal to b?
False
Let i = -273 - -324. Which is smaller: 53 or i?
i
Suppose 0 = -5*g - 2*g - 35. Which is bigger: g or -10?
g
Let m = 1/98 - -55/98. Suppose -4*h + 5*h + 16 = 0. Let d be (-6)/(-21) - h/42. Is d greater than m?
True
Let y be (11615/26 + 2)/(-61 + -2). Let k = y + 99/14. Is k greater than 1?
False
Suppose -1 - 25 = 13*r. Let v(b) = -b**3 + 9*b**2 - 6*b - 11. Let a be v(8). Suppose -l - a = -3. Are r and l equal?
True
Let y be 2 + 1414/132 + 6/(-11). Which is smaller: 11 or y?
11
Let j be (76/57)/((-4)/21). Which is bigger: 5 or j?
5
Let h = -91 - -98. Does 7 = h?
True
Let h = 159 + -158.9. Let z(c) = 4*c**3 - c**2 - 2*c - 3. Let y be z(-2). Is h bigger than y?
True
Let s = -3907 - -3232. Is -674 smaller than s?
False
Let y be ((-4)/3)/4*33. Let o(w) = w**3 + 10*w**2 - 12*w - 7. Let m be o(y). Which is smaller: 3 or m?
3
Let r(o) = 7*o + 3*o - 3*o + 3 - 3*o. Let h(v) = -17*v - 11. Let b(n) = 2*h(n) + 9*r(n). Let a be b(-5). Is -5 bigger than a?
False
Let u be 2/(-5)*(-10 + 600/56). Let y be 4 + -20 - 3*-1. Is u smaller than y?
False
Let b be ((-210)/224)/(188/(-88) + 2). Which is greater: 7 or b?
7
Let x(m) = 5*m**3 - 1. Let r be x(-1). Let g(n) = -n**3 - 6*n**2 + 5. Let f be g(r). Suppose -f*a + 2 = c, 2*a + 8 = -3*a + 4*c. Which is smaller: -4/3 or a?
-4/3
Suppose -o + 2*g = 157, -841 = 5*o + g + 3*g. Let k = -46 - -32. Let p be 4/k*(-11)/o. Is -1 greater than p?
False
Let g be 0 + (-548)/(-276) + -2. Which is smaller: g or 0?
g
Let q be ((-3)/(-48))/((-3352)/(-560) - | {
"pile_set_name": "DM Mathematics"
} |
voooohu?
2/55
What is prob of sequence kok when three letters picked without replacement from {k: 2, v: 7, o: 3}?
1/220
What is prob of sequence sqp when three letters picked without replacement from {p: 2, w: 1, g: 2, s: 1, q: 2}?
1/84
What is prob of sequence eefe when four letters picked without replacement from eyeeyyyeeeyyeeffe?
3/170
Calculate prob of sequence dodd when four letters picked without replacement from {o: 1, i: 2, d: 11}.
15/364
Calculate prob of sequence wnh when three letters picked without replacement from wjjjwhn.
1/105
What is prob of sequence xwb when three letters picked without replacement from {x: 1, w: 2, b: 2}?
1/15
Four letters picked without replacement from ewmimxiimeueww. Give prob of sequence ewux.
3/8008
Calculate prob of sequence zzz when three letters picked without replacement from {m: 4, z: 7}.
7/33
Calculate prob of sequence yhhh when four letters picked without replacement from hhhhhyhhhhhhh.
1/13
Calculate prob of sequence ee when two letters picked without replacement from vvevvvvvvveeve.
6/91
Calculate prob of sequence oo when two letters picked without replacement from {r: 4, q: 7, o: 4}.
2/35
What is prob of sequence tqt when three letters picked without replacement from gttttgaqataqtatqx?
21/680
What is prob of sequence dd when two letters picked without replacement from dwdddddd?
3/4
Calculate prob of sequence vv when two letters picked without replacement from {v: 4}.
1
Four letters picked without replacement from nddddnkkkd. Give prob of sequence nkdk.
1/84
Calculate prob of sequence dud when three letters picked without replacement from dkuuukdukkuu.
1/110
Three letters picked without replacement from pujukkjajaaaahukua. What is prob of sequence kau?
1/68
Four letters picked without replacement from {y: 6, n: 3, p: 5, c: 1, z: 2}. What is prob of sequence pczp?
1/1428
What is prob of sequence xtxt when four letters picked without replacement from pqtpcxkk?
0
Two letters picked without replacement from wwwwswswsswsssxkx. What is prob of sequence ws?
49/272
Calculate prob of sequence zddo when four letters picked without replacement from {z: 12, o: 3, d: 3}.
1/340
Calculate prob of sequence vo when two letters picked without replacement from virrvov.
1/14
Calculate prob of sequence uuu when three letters picked without replacement from {u: 6, i: 4, g: 1, k: 3}.
5/91
Two letters picked without replacement from adiadaidddiddaaiiada. Give prob of sequence ia.
7/76
Four letters picked without replacement from bzybbydpb. Give prob of sequence pyzy.
1/1512
Two letters picked without replacement from lhqur. What is prob of sequence lh?
1/20
Two letters picked without replacement from {x: 2, a: 1, e: 2, n: 1}. Give prob of sequence en.
1/15
Calculate prob of sequence wws when three letters picked without replacement from {s: 4, w: 8, f: 4}.
1/15
What is prob of sequence uoqn when four letters picked without replacement from {q: 2, u: 3, o: 3, d: 2, n: 3}?
9/2860
Two letters picked without replacement from bbbu. What is prob of sequence bb?
1/2
Two letters picked without replacement from {e: 1, m: 4, v: 1, b: 5}. What is prob of sequence eb?
1/22
What is prob of sequence svss when four letters picked without replacement from {s: 6, r: 4, w: 1, v: 1, d: 2, y: 1}?
1/273
Calculate prob of sequence mmq when three letters picked without replacement from {m: 5, q: 13}.
65/1224
What is prob of sequence smss when four letters picked without replacement from ssssssmsssssssssss?
1/18
What is prob of sequence tztz when four letters picked without replacement from {v: 6, r: 1, z: 4, t: 6}?
3/476
Four letters picked without replacement from {d: 3, q: 1, e: 1}. Give prob of sequence deqd.
1/20
Four letters picked without replacement from {i: 9, m: 5}. What is prob of sequence miim?
60/1001
Calculate prob of sequence lfd when three letters picked without replacement from uqdzfdl.
1/105
Three letters picked without replacement from {t: 5}. Give prob of sequence ttt.
1
Two letters picked without replacement from hsytggs. Give prob of sequence ss.
1/21
What is prob of sequence tvz when three letters picked without replacement from {v: 8, c: 2, z: 2, q: 5, t: 1}?
1/306
Three letters picked without replacement from mlmmvmllmmmmvmmmmm. Give prob of sequence mlm.
13/136
Calculate prob of sequence ne when two letters picked without replacement from {e: 2, n: 10}.
5/33
Three letters picked without replacement from {v: 1, d: 3, y: 1, t: 1, w: 5}. What is prob of sequence ddd?
1/165
Calculate prob of sequence eevv when four letters picked without replacement from {v: 7, e: 7}.
21/286
What is prob of sequence iig when three letters picked without replacement from gqqigqqggqiqggqgig?
1/102
Two letters picked without replacement from {f: 1, z: 1, a: 1, g: 1, h: 4}. What is prob of sequence zf?
1/56
Three letters picked without replacement from ltttsotullt. What is prob of sequence llo?
1/165
What is prob of sequence lv when two letters picked without replacement from qhhlwvh?
1/42
What is prob of sequence xhh when three letters picked without replacement from zhhxzzxz?
1/84
Four letters picked without replacement from ldldldlqhlldmhm. Give prob of sequence dhhh.
0
Three letters picked without replacement from tiitizttiiiiziii. What is prob of sequence iiz?
3/56
Three letters picked without replacement from wwwwryywwrwywwwww. Give prob of sequence wrw.
11/170
Three letters picked without replacement from xxxxxxppxxxxxxxxxx. What is prob of sequence ppx?
1/153
Calculate prob of sequence pw when two letters picked without replacement from {n: 3, w: 1, p: 4}.
1/14
Three letters picked without replacement from {j: 6, a: 2}. What is prob of sequence aaj?
1/28
What is prob of sequence dk when two letters picked without replacement from {k: 5, v: 3, d: 1, p: 1, c: 2}?
5/132
Two letters picked without replacement from {i: 1, h: 1, j: 3, n: 2}. What is prob of sequence hi?
1/42
Two letters picked without replacement from ccjcjc. What is prob of sequence cj?
4/15
Calculate prob of sequence euwe when four letters picked without replacement from {w: 3, u: 3, y: 5, e: 2, o: 7}.
1/6460
Two letters picked without replacement from ycyccccy. What is prob of sequence cy?
15/56
What is prob of sequence ghcv when four letters picked without replacement from {g: 1, v: 1, s: 5, q: 3, h: 5, c: 3}?
1/4896
Three letters picked without replacement from {r: 1, k: 1, x: 4, i: 1, y: 1}. What is prob of sequence kry?
1/336
What is prob of sequence cfc when three letters picked without replacement from cfccffutfu?
1/30
Four letters picked without replacement from kukkukuukk. What is prob of sequence uuuk?
1/35
Two letters picked without replacement from pgpggpgpgpgggggg. What is prob of sequence pg?
11/48
What is prob of sequence opp when three letters picked without replacement from {p: 2, o: 7}?
1/36
Three letters picked without replacement from {s: 2, f: 1, w: 2, j: 1, e: 1, h: 1}. Give prob of sequence shf.
1/168
Calculate prob of sequence mmc when three letters picked without replacement from {k: 3, u: 9, m: 1, c: 2, g: 3}.
0
Two letters picked without replacement from {e: 4, q: 2, o: 1, h: 1}. What is prob of sequence eo?
1/14
Three letters picked without replacement from {g: 3, a: 1, j: 3}. Give prob of sequence jgj.
3/35
What is prob of sequence on when two letters picked without replacement from {b: 1, a: 3, n: 4, o: 1, d: 1, t: 2}?
1/33
What is prob of sequence vqpv when four letters picked without replacement from jjttjvqqjttpjjppjv?
1/6120
Four letters picked without replacement from ffuuffuuuffu. Give prob of sequence ufuf.
5/66
Two letters picked without replacement from {n: 1, g: 2, w: 3, v: 6, t: 5}. Give prob of sequence vn.
3/136
What is prob of sequence zshn when four letters picked without replacement from {g: 2, h: 2, n: 1, z: 2, o: 4, s: 1}?
1/2970
Calculate prob of sequence mm when two letters picked without replacement from jmjjm.
1/10
Four letters picked without replacement from {z: 3, q: 13}. What is prob of sequence qqzq?
33/280
Calculate prob of sequence lr when two letters picked without replacement from {y: 1, l: 1, i: 4, v: 1, r: 2}.
1/36
Calculate prob of sequence ggs when three letters picked without replacement from {g: 2, p | {
"pile_set_name": "DM Mathematics"
} |
t
Let q = -0.8 - 0.2. Let m = 45.989 + 0.011. Let x = 45.6 - m. What is the nearest to 0.1 in 0.5, x, q?
0.5
Let s = 0.92 - 0.22. Let i = 191 + -191.2. What is the nearest to i in s, 0, -1/3?
-1/3
Suppose -11 = 4*k + 9. Let g = -4 - -8. Suppose 0 = -4*i + g*l - 24, -14 = 3*i + i - 2*l. What is the nearest to -9 in -2/13, i, k?
k
Let u(j) = 9*j**2 + 124*j - 27. Let t be u(-14). Which is the nearest to 0? (a) 2/9 (b) t (c) -3.1
a
Let u = 2430 + -2429.9. What is the closest to u in 1/6, 1/2, 1?
1/6
Let w = 91.938 + -92. Let q = 0.362 + w. What is the closest to q in -5, -1, 1/3?
1/3
Let h be ((-6)/10)/(-8 - (-34)/5). What is the nearest to h in 3/31, -2/19, 0.3?
0.3
Let i = -13.6 + 14. Let x(u) = -u + 2. Let o be x(-6). Let p be (-14)/(-24) - 2/o. What is the closest to p in i, -0.2, -5?
i
Let h = 73 - 73.5. Suppose -5*x = -5 + 10. Which is the nearest to -0.3? (a) h (b) x (c) -0.4
c
Let t be ((-2)/(-35))/(((-16)/8)/10). What is the closest to 3 in 5, 3/7, t?
5
Let r be (-6)/6 - (-5 + 114/27). Which is the closest to 0.08? (a) 4 (b) -0.1 (c) r
b
Suppose -s = 4*d - 3, 0 = 3*d - 6*d + 2*s - 6. What is the nearest to 0 in 1, 3, d?
d
Let d = -136 + 197. What is the nearest to d in 0.3, -4, -1?
0.3
Let k = -269.3 + 268. Let i = 7.2 - 6. Let s = k + i. Which is the nearest to s? (a) 0.2 (b) 6 (c) 2
a
Let l be (78/8)/3 + -3. Let s = 0.077 + -7.077. What is the nearest to -2 in s, l, 1?
l
Let b = -80 - -80.4. What is the nearest to 1 in -1/5, b, -6, -0.3?
b
Suppose 5*u - 9 = -2*v, -u - 37 = -5*v - 1. Suppose a + v = 4. Let r be 1 - (-2 - -2)/(-1). What is the nearest to 0 in -0.5, a, r?
-0.5
Let n = -1.5 + 2. Let b = -195 - -777/4. What is the nearest to b in n, 0.1, 5?
0.1
Let n = -7.31 - -6.81. Which is the closest to -2? (a) 6 (b) n (c) -1 (d) 0
c
Let t = -2.35 + 1.95. Which is the closest to 0? (a) -0.3 (b) 5 (c) t
a
Let p = -4/57 + 203/456. Let v be (-1)/(2 + 23/(-12)). Let w be (-4)/5*3/v. What is the nearest to 1/3 in p, w, 0.5?
p
Let w be (1/(-7))/(5/(35/(-2))). Suppose -4 = -5*n + 1. What is the nearest to n in 4/5, 4, w?
4/5
Let k(l) = -2*l**2 - 34*l - 8. Let r be k(0). Let y(g) = g**3 - g**2 - g + 1. Let s be y(1). Which is the closest to s? (a) -3 (b) -2 (c) r
b
Suppose 0 = -28*i + 23*i + 20. Which is the closest to 0? (a) 2/3 (b) 5 (c) i (d) -0.1
d
Let t be 16/(-40)*-2*(-4)/(-16). Let s = 0.6 - -1.4. Which is the nearest to 0? (a) t (b) s (c) -4
a
Let d = 2.297 - 0.297. Which is the closest to 1? (a) 3/5 (b) 0.4 (c) d
a
Let d = 2/59 + 55/118. Suppose -48 = -3*r - 3*y, -y = 7 - 2. Suppose -2*p = 5*p - r. Which is the nearest to -1? (a) 0.1 (b) p (c) d
a
Let d = -0.2442 - -0.2442. Which is the closest to -0.37? (a) d (b) -2/5 (c) -1/6
b
Let s be 72/108 + 1/(-3). What is the nearest to 2/7 in 3, 0, s, 2/3?
s
Suppose 3*d + i + 8 = 0, -2*d - 5*i - 12 = -d. Let h be 2/d*(-8 + 8). Suppose h = 7*n - 8*n - 2. What is the closest to n in -0.5, -0.2, -5?
-0.5
Let u = -27.8 + 25.8. Which is the closest to -5? (a) 0.4 (b) -3/7 (c) u
c
Suppose 6 = -w + 2. Let n be ((-14)/(-28))/((-22)/w). Which is the nearest to n? (a) -0.2 (b) 0.3 (c) 1
b
Let s = 19 + -6. Let g = -16 + s. Let l = -0.2 + 0.1. What is the closest to -0.1 in g, l, -1/6?
l
Let l = 232 + -227. What is the closest to -2/7 in l, -0.3, 8?
-0.3
Let s be -5 + (-66)/(-15) + 14/40. Let k = -4 - -7. What is the closest to 0.1 in k, s, -2?
s
Let i = -683 - -697. Which is the closest to 1/5? (a) i (b) 0.5 (c) 3 (d) -0.2
b
Let p = -386 - -1545/4. Which is the nearest to 2? (a) 2/7 (b) -3 (c) p (d) -0.5
a
Let u = 38 - 20. Let j = 7254 - 7255. Which is the closest to 0? (a) 1/5 (b) u (c) j
a
Let z = 4.859 + 0.141. Which is the closest to -2? (a) -3 (b) -0.3 (c) z (d) 2
a
Suppose 5 + 71 = -l. Let d = l + 379/5. Let v be 3/(-6) - 14/(-20). What is the nearest to v in -2/11, -6/5, d?
-2/11
Let y = -10628 - -10631. Let o(v) = -v + 1. Let p be o(1). What is the nearest to p in 2, 4, y?
2
Let u = -3351/10 - -335. What is the closest to 3 in 12, u, -0.3?
u
Let i = 30 + -30.12. Let v = i + -0.88. What is the nearest to 1/4 in 3/7, 0.1, v?
0.1
Let z be (2/10)/(8/10). Let s be (4 - (-33)/(-6))/(6/(-1)). Which is the closest to s? (a) -11 (b) -0.2 (c) z
c
Suppose 0 = -107*g + 113*g - 18. Which is the closest to g? (a) -1 (b) -3 (c) -1/2
c
Let q = 3/47 + 35/188. Let x = -6.1 + 0.1. Let i = 10 + x. Which is the nearest to q? (a) 1 (b) i (c) 9
a
Let k = -0.154 + 0.154. What is the nearest to -5 in -0.3, k, 0.4?
-0.3
Let k = 0 + -0.1. Let j = 46 - 51. Let f = -5.4 - j. What is the nearest to 0.1 in k, -5, f?
k
Let k = -13 - -1. Let i be -4 + (-2 - -2) + k. Which is the nearest to 1/4? (a) -3 (b) i (c) -1
c
Let m = 0.1 - 0. Suppose 0 = -l + 7 - 5. Suppose -5*f - 5 = -5*w, -w - 2*f - l = -5*w. Which is the closest to -0.1? (a) m (b) 1/2 (c) w
c
Let w = 3.3 + -5. Let g = -0.3 + w. Let o = -3.2501 - 0.7499. Which is the closest to 1? (a) o (b) 2/3 (c) g
b
Let z = -3 + 7. Let d = 0.03 + 0.07. Let k = d + 0.9. Which is the nearest to 1? (a) z (b) 5 (c) k
c
Let u = -682 + 682.3. Let v = -1 - -0.6. Let n = v + 0. Which is the nearest to 2/11? (a) -3 (b) u (c) n
b
Suppose 0 = 2*w - 3*r + 1, 0 = w - 2*r + 2 - 1. Let h = 67 - 66. Let i = 13.8 - 14. Which is the nearest to h? (a) i (b) -2/17 (c) w
c
Let h = -53/12 - -14/3. Let x = 16 - 13.6. Let s = x - 2.9. Which is the closest to 0.2? (a) -2 (b) h (c) s
b
Let l be -4 + -2 + 2 + (7 - -2). Which is the closest to 2/5? (a) -0.4 (b) 0.06 (c) l
b
Let g = 4.39 + -4.79. Let o(c) = -c - 3. Let p be o(-7). Let s = 2 - 1.9. What is the nearest to s in 0.1, p, g?
0.1
Let n = -1.1 + -11.9. Let t = 12.8 + n. Let y = -3.42 + 0.42. Which is the closest to -0.1? (a) 3 (b) t (c) y
b
Suppose -6*i = -64 + 10. Let l be 3/i + 0 + (-7)/(-6). What is the nearest to 1 in -0.01, -5, l?
l
Suppose -2*w = -5*w - 4*x - 367, -3*x = -6. Let r = w - -124. What is the nearest to r in 4, 1, 20?
1
Let g = -41/5 - -8. Let t = -2.4 - -2. Let o = 0.11 - 0.01. What is the nearest to o in t, g, 0.3?
0.3
Let m = -7.36 + -0.64. What is the closest to 0.1 in m, 1/4, 1, 8?
1/4
Let o = 4.8 + 21.9. Let y = 1236 - 1209. Let p = y - o. What is the nearest to 1 in -2, p, -3?
p
Let m = 553 - 553.3. Which is the nearest to m? (a) -2/15 (b) -1/3 (c) -1/2 (d) -0.4
b
Let x = 0.0041 + -2.0041. What is the closest to -2 in 5, -1/2, x, 1/10?
x
Let o = 0.11 + -13.11. Let y = -15.5 - -2.5. Let k = y - o. Which is the closest to 2? (a) -2/19 (b) k (c) -2/7
b
Let o = -12281/8 + 1535. Which is the closest to -3/4? (a) o (b) 2 (c) -3 (d) -2
a
Suppose f - 3*f = 0. Let l = -58 + 165. Let g = l - 105. Which is the closest to 1/4? (a) f (b) g (c) -3
a
Let z = 0.8 - 1. Let t = 1395 - 1395.5. Which is the nearest to 2/3? (a) z (b) -2/3 (c) t
a
Let v(x) = 17*x - 32. Let m be v(5). Let f = -54 + m. Which is the closest to f? (a) 6 (b) 2/15 (c) 5
b
Let n = 254 + -253. What is the nearest to n in -0.3, -0.1, -3, 1?
1
Let h = -0.03 - 0.14. Let c = h - -1.47. Let w = c + -1.34. What is the nearest to -1 in w, 4, -2?
w
Let v = -7 + 2. Let m = -68 + 90. What is the nearest to -1 in v, -2/5, m?
-2/5
Let g = 1/33 - 167/66. What is the closest to -1 in -5, g, -0.2?
-0.2
Suppose -5*g - 6 = -26. Let j = 0.0393 + 0.0107. Which is the closest to j? (a) g (b) -2 (c) -1/2
c
Let o be 150/39 - ((-24)/(-13) + -2). Which is the nearest to -1/2? (a) 191 (b) 0 (c) o
b
Suppose 2*r = r + 2. Let u(g) = -g**3 + 6*g**2 - 5*g + 4. Let k be u(r). Let l = k + -9. Which is the closest to -2/5? (a) 2/9 (b) 0 (c) l
b
Let t(d) = d**3 - 5*d**2 + d - 6. Let g be t(5). Suppose -4*x - 4*u - 24 = 0, 2*x + 12 = -2*x - u. Which is the closest to g? (a) x (b) 2 (c) 2/13
a
Let f = 3.8 + 1.2. Let r be (-90)/21 - (2/7)/(-1). What is the nearest to -0.2 in 0, f, r?
0
Let d = -62.3 + 63.3. Let w = 0.4 - -1.6. Which is the closest to 0? (a) d (b) 3 (c) w
a
Let x = -39.3 - -21.5. Let r = 31 - 13. Let g = r + x. What is the closest to -0.2 in g, 4, -2?
g
Let b = -34 + 172/5. Let o = 13/2 - 7. Let g = -209/2 - -2303/22. What is the nearest to o in g, 5, b?
g
Let x = -326 - -322.8. Let w = 0.2 + 0. Let m = w + x. Which is the nearest to 1? (a) m (b) 1 (c) 2
b
Let | {
"pile_set_name": "DM Mathematics"
} |
-1/240*v**6 + 0*v + 0*v**4 + 0*v**3 + 1/672*v**8 + 1/120*v**5 - 1/420*v**7 + 6*v**2 + 0. Factor s(r).
r**2*(r - 1)**2*(r + 1)/2
Let u(f) be the first derivative of 5*f**4/4 + 19*f**3/3 + 11*f**2/2 - 3*f + 54. Factor u(t).
(t + 1)*(t + 3)*(5*t - 1)
Let -6558 + 26*o**2 - 2916*o - 149*o**2 - 3*o**3 - 39*o**2 - 10938 = 0. Calculate o.
-18
Let w be ((-6)/(-10))/((-2)/(-10)). Factor 3*l**3 + 5*l**2 + l + w*l**3 - 4*l**3 + 2*l**3.
l*(l + 1)*(4*l + 1)
Let b be (41/(-14) + 3)*8. Let m = b + 2/21. Determine t so that -8/3*t - 8/3 - m*t**2 = 0.
-2
Let g(l) be the second derivative of -l**5/210 - l**4/21 - 4*l**3/21 - 3*l**2/2 - 2*l. Let i(w) be the first derivative of g(w). Find k, given that i(k) = 0.
-2
Let x(l) be the third derivative of l**5/15 - l**4/12 - l**3/3 - 8*l**2. Suppose x(r) = 0. What is r?
-1/2, 1
Let s(x) be the first derivative of -x**6/18 + 2*x**5/15 + x**4/4 - 2. Find i such that s(i) = 0.
-1, 0, 3
Suppose b - 4 = -2*i, -6*b + 2*b = -i + 20. Let 1/3*t**i + 0*t + 0*t**3 - 2/3*t**2 + 1/3 = 0. Calculate t.
-1, 1
Let r(n) be the second derivative of -1/36*n**4 + 5*n + 2/9*n**3 + 0 - 2/3*n**2. Let r(s) = 0. Calculate s.
2
Factor 1/2*v + 1/2*v**2 - 1.
(v - 1)*(v + 2)/2
Suppose -4*m - m = -15. Factor -3 + 2*v**m + 3 + 6*v**2 + 13*v**3.
3*v**2*(5*v + 2)
Let f(i) be the second derivative of -i + 0*i**2 + 0 - 1/6*i**4 + 1/15*i**6 + 0*i**3 + 0*i**5. What is x in f(x) = 0?
-1, 0, 1
Let m(n) be the second derivative of -1/10*n**3 + 0*n**5 + 1/10*n**4 + 0 + 4*n + 0*n**2 + 1/70*n**7 - 1/25*n**6. Solve m(p) = 0 for p.
-1, 0, 1
Let h(d) be the first derivative of 5*d**3/6 + 3*d**2/4 + 18. Solve h(q) = 0.
-3/5, 0
Let g(v) be the first derivative of -v**2 - 2/3*v**3 + 1/2*v**4 - 2 + 2*v. Find x such that g(x) = 0.
-1, 1
Let d(s) be the second derivative of -s**6/180 + s**5/60 - s**3/2 - s. Let m(f) be the second derivative of d(f). Factor m(h).
-2*h*(h - 1)
Let u be (-1)/21*9/3. Let l = u - -3/7. Factor l*q**3 + 0*q + 0*q**2 + 0.
2*q**3/7
Let n(r) be the third derivative of r**8/25200 + r**7/6300 + r**6/3600 + r**5/30 - 5*r**2. Let v(m) be the third derivative of n(m). Let v(w) = 0. What is w?
-1/2
Let v be (-6)/(-4) + 45/18. Suppose 0*x + 8 = v*x. Factor -1/2 - o - 1/2*o**x.
-(o + 1)**2/2
Let x = 125 - 374/3. Find p, given that -x*p - 1/3*p**3 + 0 - 2/3*p**2 = 0.
-1, 0
Suppose -5*s + j = -74, -56 = -4*s + 3*j + j. Let i be 24/s + 2/5. Factor 0 - 2/9*v - 2/9*v**i.
-2*v*(v + 1)/9
Let g(d) = -d**2 - 2*d + 2. Let j be (-34)/(-4) - (-1)/2. Let o(m) = -2*m**2 - 11*m + j + 2*m - 2*m**2 - 2*m**2. Let l(c) = 11*g(c) - 2*o(c). Factor l(x).
(x - 2)**2
Let r(j) = -j - 1. Let b be r(3). Let m(a) = 2*a + 8. Let d be m(b). Factor -1/3*w**2 + 0*w**3 + d*w + 0 + 1/3*w**4.
w**2*(w - 1)*(w + 1)/3
Let u(w) be the first derivative of w**4/22 + 2*w**3/11 + 2*w**2/11 - 24. Let u(j) = 0. Calculate j.
-2, -1, 0
Let d be 0/(-1 - 1)*1. Let o(h) be the first derivative of 1/3*h**3 + 0*h**2 - 1 + d*h. Suppose o(f) = 0. What is f?
0
Determine m so that 8/7 + 10*m**2 - 48/7*m = 0.
2/7, 2/5
Let q be (44/(-3))/1*-1. Let o = q + -14. Factor 1/3 + 1/3*h**3 - h**2 + o*h**4 - 1/3*h.
(h - 1)*(h + 1)**2*(2*h - 1)/3
Let o = 17/2 - 47/6. Suppose -7 = -5*b + 8. Factor -1/3 - o*w**2 + 1/3*w**5 + w**4 + 2/3*w**b - w.
(w - 1)*(w + 1)**4/3
Let h(w) = -4*w**3 - 90*w**2 - 135*w - 11. Let p(l) = -l**3 - 18*l**2 - 27*l - 2. Let r(z) = -2*h(z) + 11*p(z). Let r(n) = 0. What is n?
-3, 0
Let v(q) be the first derivative of -q**5/40 + q**4/4 - q**3 + 2*q**2 - 2*q - 8. Factor v(o).
-(o - 2)**4/8
Let p = -377/6 + 63. Find t such that 1/6*t**5 - 1/6 - p*t**4 - 1/3*t**3 + 1/3*t**2 + 1/6*t = 0.
-1, 1
Let k(r) = -r**3 - 8*r**2 + 2. Let c be k(-8). Suppose 1/5*v**3 + 1/5*v**4 + 0 - 1/5*v - 1/5*v**c = 0. What is v?
-1, 0, 1
Suppose 0 = 2*w + 1 + 3, 3*m + 4*w = 1. Let l(d) be the first derivative of 3 - 9/4*d**4 + 1/3*d + 3*d**m - 3/2*d**2. Factor l(y).
-(3*y - 1)**3/3
Let o = -19/6 + 23/6. Factor -2/3*k**2 + o*k + 0.
-2*k*(k - 1)/3
Let q = 16 + -14. Factor -z**q - 1/2 + 3/2*z.
-(z - 1)*(2*z - 1)/2
Let o = 11 - 6. Suppose -12 = -2*y - o*l - 3, -1 = -2*y + 3*l. Factor 0*d**y - 1/2*d**3 + 3/2*d - 1.
-(d - 1)**2*(d + 2)/2
Let k(a) be the third derivative of a**5/60 - a**4/6 + a**3/2 + 9*a**2. Factor k(h).
(h - 3)*(h - 1)
Suppose 0 = -0*u - 3*u + 4*d + 78, 4*u = 4*d + 104. Let a be u/8 - (-2)/(-8). Suppose g - 5*g**2 - a*g + 3*g**3 + 0*g**2 + 4*g**2 = 0. What is g?
-2/3, 0, 1
Suppose -5*v = -3*r - 4*v + 37, 4*v + 71 = 5*r. Factor -w**2 - w**2 - r*w**3 + 4*w**3.
-w**2*(7*w + 2)
Let p be (2/(-4))/(10/(-8)). Let m(l) be the first derivative of p*l**5 - 2/3*l**3 + 1/2*l**4 - 2 - l**2 + 0*l. Factor m(y).
2*y*(y - 1)*(y + 1)**2
Let f be 12*((-30)/(-4))/5. Let m = f + -71/4. Suppose m*h**2 + 0*h**3 + 0 - 1/4*h**4 + 0*h = 0. What is h?
-1, 0, 1
Let u be ((3 - 2)*3)/1. Suppose -2*y = -4*d, -4*y + 4*d - 9 = -29. Factor 0*l + y*l**u - 5*l**3 - l - 3*l**4 - l**2.
-l*(l - 1)**2*(3*l + 1)
Let g(j) be the second derivative of j**4/42 + 5*j**3/21 - 6*j**2/7 - 15*j. Find s, given that g(s) = 0.
-6, 1
Factor -3*o - 15*o**3 + 0 + 29/2*o**2 + 7/2*o**4.
o*(o - 3)*(o - 1)*(7*o - 2)/2
Let v(n) be the second derivative of n**7/252 + 7*n**6/360 + n**5/30 - n**4/3 + 2*n. Let g(c) be the third derivative of v(c). Find r, given that g(r) = 0.
-1, -2/5
Let m(s) be the second derivative of s**7/42 - s**6/10 + s**5/20 + s**4/4 - s**3/3 - 44*s. Factor m(r).
r*(r - 2)*(r - 1)**2*(r + 1)
Let o(x) be the second derivative of x**4/18 + 4*x**3/9 + 4*x**2/3 + 7*x. Factor o(i).
2*(i + 2)**2/3
Let j(b) be the third derivative of -b**6/1020 - 7*b**5/510 - 2*b**4/51 + 16*b**3/51 + 12*b**2. Find f such that j(f) = 0.
-4, 1
Suppose -8/3*j**2 - 128/9 + 2/9*j**3 + 32/3*j = 0. Calculate j.
4
Let g(b) be the first derivative of b**6/6 - b**5 + 3*b**4/4 + 3*b**3 + 14. Factor g(d).
d**2*(d - 3)**2*(d + 1)
Let h(g) = -2*g + 7. Let m be h(6). Let q be 3/5 - (-3)/m. Factor 2/5*s**5 + q + 0*s + 2/5*s**2 - 2/5*s**3 - 2/5*s**4.
2*s**2*(s - 1)**2*(s + 1)/5
Let r = -20/7 - -314/105. Let j(q) be the first derivative of r*q**3 + 6/5*q**2 - 12/5*q**4 + 2/5*q + 32/25*q**5 + 3. Determine w, given that j(w) = 0.
-1/4, 1
Factor -5*p**3 + 0*p**3 - 75*p - 8*p**2 - 45 - 4*p**2 - 23*p**2.
-5*(p + 1)*(p + 3)**2
Let j(s) be the third derivative of s**6/315 + s**5/90 - 5*s**4/252 - 2*s**3/21 + 23*s**2. Solve j(b) = 0 for b.
-2, -3/4, 1
Let t(c) be the third derivative of 1/20*c**5 + 0*c**3 + 0*c - 1/12*c**4 + 4*c**2 + 0 - 1/120*c**6. Let t(d) = 0. Calculate d.
0, 1, 2
Let n = -5 - -7. Factor -1/5*l**3 - 1/5 - 3/5*l**n - 3/5*l.
-(l + 1)**3/5
Let q = -2 - -2. Let m be q*3/9 - -5. Factor 12*z**m - 10*z**3 - 5*z**5 - 5*z**4 + 5*z**2 + 2*z + z**3.
z*(z - 1)**2*(z + 1)*(7*z + 2)
Let z(i) = -11*i + 7. Let a(r) = 17*r - 11. Let v(y) = 5*a(y) + 8*z(y). Let p be v(-1). Factor 4*g - 2*g - 2*g**3 + 0*g**3 - 4*g**2 + p.
-2*(g - 1)*(g + 1)*(g + 2)
Let f(n) be the first derivative of -1 + n - 1/4*n**2 + 1/60*n**6 - 1/20*n**5 + 0*n**4 + 1/6*n**3. Let i(a) be the first derivative of f(a). Factor i(r).
(r - 1)**3*(r + 1)/2
Let h be ((-12)/9)/(-5 - -1). Let w(t) be the first derivative of 0*t**3 + 0*t**5 - 3 - h*t**6 + t**4 + 0*t - t**2. Solve w(k) = 0 for k.
-1, 0, 1
Let b be 4/18 - 0 - 2830/(-225). Let q(v) be the first derivative of 28*v**4 + 13/2*v**2 - 1 - 20*v**3 - b*v**5 - v. Factor q(s).
-(s - 1)*(4*s - 1)**3
Solve 0*t + 0 + 0*t**2 - 21/5*t**4 - 6/5*t**3 = 0.
-2/7, 0
Let j be 2/((-5)/(-5)) - 464/(-9). Factor 8/9 + j*t**2 - 920/9*t**3 - 104/9*t + 608/9*t**4 - 128/9*t**5.
-2*(t - 2)**2*(4*t - 1)**3/9
Let z(g) = 6*g**2 - 8*g. Let f(l) = -6*l**2 + 7*l. Suppose -4 = -2*c + c. Let v(s) = c*f(s) + 3*z(s). Solve v(a) = 0 for a.
0, 2/3
Suppose -3*n + n = -10. Suppose f = -0*f + 4. Solve d**3 + 2*d**5 - d**n + d**f - 3*d**3 = 0.
-2, 0, 1
Let v(h) = 3*h**2 + 50*h + 32. Let f be v(-16). Factor -1/5*c**3 + 1/5*c**5 + 0*c + 1/5*c**4 - 1/5*c**2 + f.
c**2*(c - 1)*(c + 1)**2/5
Let h(w) be the third derivative of 1/30*w**5 + 0*w + 0 - 2*w**2 - 1/3*w**3 + 0*w**4. Find i, given that h(i) = 0.
-1, 1
Let t(m) be the first derivative of 3/10*m**4 + 0*m - 1/5*m**3 + 0*m**2 + 1 - 3/25*m**5. Let t(r) = 0. Calculate r.
0, 1
Suppose -3*w + 37 = s + 4*s, 2*s = -3*w + 31. Let o be (-5)/(-21) + 3/w. Factor 2/7*y**2 - 2/7*y - | {
"pile_set_name": "DM Mathematics"
} |
3
Let c(p) be the third derivative of -p**6/120 + p**4/24 + 8*p**3/3 + 77*p**2. Find the first derivative of c(m) wrt m.
-3*m**2 + 1
Let h(b) = -20*b**2 - 5*b - 165. Let a(u) = 40*u**2 + 13*u + 329. Let p(m) = -2*a(m) - 5*h(m). Differentiate p(r) wrt r.
40*r - 1
Let x(c) be the third derivative of -383*c**5/60 + 29*c**4/8 - c**3/6 - 393*c**2. Find the second derivative of x(y) wrt y.
-766
Suppose 5*d = 6*v - 4*v + 87, 0 = -5*d + 5*v + 90. What is the second derivative of 2*a**3 - 60 + 116 - 56 - d*a wrt a?
12*a
Let n(q) be the first derivative of -9*q**6/10 + 29*q**2/2 - 22*q - 14. Let o(u) be the first derivative of n(u). Differentiate o(r) wrt r.
-108*r**3
Let n(f) be the second derivative of 11/12*f**4 + 0*f**2 + 0*f**3 + 12*f + 0 - 13/20*f**5. What is the third derivative of n(d) wrt d?
-78
Let z(f) = -f**3 - f. Let s(d) = -3*d**3 - 53*d**2 - 4*d - 43. Let k(c) = s(c) - 4*z(c). Find the first derivative of k(p) wrt p.
3*p**2 - 106*p
Let m(q) be the third derivative of -29*q**7/210 - q**6/60 - 19*q**5/15 + q**4/12 + 131*q**2 + 2*q. Find the third derivative of m(t) wrt t.
-696*t - 12
Let a(m) = -65*m**3 + 5*m + 99. Let o(b) = -126 - 39*b**3 + 32*b**3 - 23 + 104*b**3 - 8*b. Let p(j) = 8*a(j) + 5*o(j). What is the derivative of p(l) wrt l?
-105*l**2
Suppose 5*u = -2*m + 50 + 33, -3*u + 2*m + 37 = 0. Find the first derivative of -b**4 - u*b + 7*b + 8*b - 18 wrt b.
-4*b**3
Let o = -4 + 4. Suppose -4 = -n - o*n. Find the second derivative of -2*f**2 - 2*f + f**2 - 2*f**n + f**2 wrt f.
-24*f**2
Let q(b) = 61*b**6 - 9*b**3 + 165*b**2. Let c(m) = -31*m**6 + 4*m**3 - 83*m**2. Let w(y) = -9*c(y) - 4*q(y). Find the third derivative of w(r) wrt r.
4200*r**3
Let f(a) = -371*a**4 - 47*a**2 + 2*a + 2. Let b(r) = 5931*r**4 + 753*r**2 - 33*r - 33. Let p(j) = -2*b(j) - 33*f(j). Find the third derivative of p(i) wrt i.
9144*i
Let h(y) = y**2. Let a(p) = 17*p**4 + 4*p**2 + 3*p - 13 + 13 + p**2. Let i(r) = -a(r) + 5*h(r). What is the second derivative of i(z) wrt z?
-204*z**2
Let s(a) = -69*a**2 - 32*a - 5. Let t(f) = -208*f**2 - 94*f - 14. Let w(c) = 8*s(c) - 3*t(c). What is the second derivative of w(z) wrt z?
144
Let x(w) = 33*w + 135. Let u(o) = 38*o + 134. Let j(p) = 4*u(p) - 3*x(p). What is the derivative of j(h) wrt h?
53
Let g = -2 - -6. Find the first derivative of 3*l**4 + 9*l**g + 8 + 3*l**4 - l**4 wrt l.
56*l**3
Let f(r) be the second derivative of 20*r**7/21 - 169*r**4/12 + 95*r. Find the third derivative of f(a) wrt a.
2400*a**2
Let s be 201/15 - (-6)/(-15). Suppose -d - s = -17. What is the second derivative of -51*g**2 + d*g + 41*g**2 + 8*g wrt g?
-20
Let v(k) = -k**2 + 9*k - 7. Let g be v(8). Let t(w) = 12*w**2 - w + 1. Let h be t(g). Find the first derivative of p**3 - h - 8*p**3 - 5*p**3 wrt p.
-36*p**2
Let h(a) = 57*a - 60. Let z(c) = c - 1. Let i(s) = h(s) - 3*z(s). What is the derivative of i(o) wrt o?
54
Let a(i) = i**3 - 16*i**2 + 14*i + 17. Let t be (-9)/15 - 156/(-10). Let r be a(t). What is the third derivative of 4*y**r - 65*y**4 + 65*y**4 - 8*y**6 wrt y?
-960*y**3
Let b(o) = -2*o**3 + o**2 - o - 1. Let y(i) = -72*i**4 + 4*i**3 - 2*i**2 + 2*i - 317. Let c(n) = -2*b(n) - y(n). Find the first derivative of c(p) wrt p.
288*p**3
Let q(i) = 493*i**4 - 11*i**2 + 141*i. Let c(h) = -99*h**4 + 2*h**2 - 28*h. Let r(p) = 11*c(p) + 2*q(p). What is the second derivative of r(k) wrt k?
-1236*k**2
Let y(s) be the third derivative of s**7/70 + 4*s**5/15 + 139*s**4/12 - s**3/3 - 763*s**2. What is the second derivative of y(x) wrt x?
36*x**2 + 32
What is the third derivative of 8*l + 43*l**5 + 221*l**2 + 2*l**3 - 2 - 217*l**2 + 2 wrt l?
2580*l**2 + 12
Let h(j) be the third derivative of 2*j**6/3 - 11*j**5/10 + 38*j**2 - 2*j. Find the third derivative of h(k) wrt k.
480
Find the third derivative of 1255 + 1255 + 249*u**6 + 279*u**6 - 175*u**2 - 2510 wrt u.
63360*u**3
Find the second derivative of 33*p + 11*p**5 + 0*p - 54*p**5 wrt p.
-860*p**3
Let z(t) be the second derivative of -161*t**5/10 - 113*t**3/6 + t**2/2 + 387*t. What is the second derivative of z(b) wrt b?
-1932*b
Let z(u) = 18*u**2 - u + 56. Let o(a) = 90*a**2 - 5*a + 281. Let s(f) = 2*o(f) - 11*z(f). Find the first derivative of s(g) wrt g.
-36*g + 1
Let l be (1 + 0)*(5 - -2). Let y be (12/14)/((-42)/(-196)). Find the first derivative of -3 - 4*k**y + 5 - 3 - l wrt k.
-16*k**3
Let f(q) be the first derivative of q**7/3 - 5*q**3/2 - 2*q + 2. Let w(v) be the first derivative of f(v). Find the second derivative of w(p) wrt p.
280*p**3
Suppose 0 = -4*i - i + 50. Let t = i + -7. What is the third derivative of t*x**2 - 16*x - 8*x**3 + 16*x wrt x?
-48
Let y(v) = -78*v**2 + 3*v - 10. Let b(q) = -2*q**2. Let r(u) = 6*b(u) + y(u). Find the second derivative of r(c) wrt c.
-180
Let y(f) = -219*f**3 - 17*f + 13. Let c(b) = -216*b**3 - 16*b + 12. Let i(n) = 7*c(n) - 6*y(n). What is the second derivative of i(u) wrt u?
-1188*u
What is the derivative of 137 + 145 - 10*u**2 - 301 + 11*u**3 wrt u?
33*u**2 - 20*u
Let c(g) be the third derivative of -1/210*g**7 + 0*g + 0*g**4 - 10/3*g**3 + 14*g**2 + 0*g**5 + 0*g**6 + 0. Find the first derivative of c(q) wrt q.
-4*q**3
Let x(c) be the second derivative of -13*c + 0*c**3 + 0 + 11/15*c**6 - 19/12*c**4 + 0*c**2 + 0*c**5. What is the third derivative of x(b) wrt b?
528*b
Let d(j) be the third derivative of -47*j**7/105 - 59*j**5/60 + 131*j**2. Find the third derivative of d(a) wrt a.
-2256*a
Let p(l) be the third derivative of 202*l**7/105 - 58*l**5/15 + 465*l**2. Find the third derivative of p(f) wrt f.
9696*f
Let n(g) = -g**3 + 11*g**2 - 8*g + 1. Let o be n(10). What is the first derivative of -1 - 17*y**2 + o*y**2 - 11 wrt y?
8*y
Let n = 1 + -3. Let m be n - (-8 - -1 - 1). What is the second derivative of -4*x**2 - 2*x + 4 + m - 10 wrt x?
-8
Let q = 3 + -9. Let j(c) = -3*c**2 + 5*c + 4. Let t(k) = 3*k**2 - 6*k - 4. Let x(b) = q*j(b) - 5*t(b). Differentiate x(g) with respect to g.
6*g
Let i(d) = 7*d + 0*d - 4*d - 15*d**2 + 8*d. Let n(x) = 29*x**2 - 21*x. Let g(p) = 13*i(p) + 6*n(p). What is the second derivative of g(m) wrt m?
-42
What is the third derivative of -14*h**2 + 78*h**2 - 114*h**4 + 8*h**4 wrt h?
-2544*h
Let o(m) = -72*m**2 + 10*m - 2. Let k(q) = -69*q**2 + 11*q - 3. Let z(f) = -2*k(f) + 3*o(f). What is the second derivative of z(t) wrt t?
-156
Find the second derivative of -2*c**2 + 2179 + 170*c**2 - 44*c - 2179 wrt c.
336
Let l(b) be the second derivative of b**7/280 - b**5/60 - b**4/12 + 8*b. Let o(y) be the third derivative of l(y). Find the first derivative of o(x) wrt x.
18*x
Let j(z) = -36*z**3 + 2*z - 2*z - 9 + 20*z**2. Let m(u) = -9*u**3 + 5*u**2 - 2. Let a(g) = 2*j(g) - 9*m(g). Find the third derivative of a(x) wrt x.
54
Let z = 47 + 2. Find the second derivative of -z*h**3 - 3*h**4 + 49*h**3 - 14*h wrt h.
-36*h**2
Suppose 4*b = -2*n + n, -5*n + 5*b + 50 = 0. What is the second derivative of -n*a**3 - 17*a - 12*a + 20*a wrt a?
-48*a
Let p(u) be the second derivative of 3 + 0*u**4 - 4*u - 1/10*u**5 + 5/3*u**3 - 21/2*u**2. What is the derivative of p(x) wrt x?
-6*x**2 + 10
Let l be (-1 - 4)*20/(-25). Find the third derivative of 0*v**l - 8*v**2 + v**2 + 0*v**2 - 18*v**4 wrt v.
-432*v
Let s(k) = -231*k**4 - 21*k**3 + 678*k**2 + 21. Let c(v) = -2*v**4 - v**3 + v**2 + 1. Let h(y) = 21*c(y) - s(y). Find the third derivative of h(u) wrt u.
4536*u
Let u(s) = -3*s**3 + s**2 - 4*s - 2. Let f be u(-2). Differentiate -7 + f*y**4 - 26 - 7 wrt y.
136*y**3
Let m(g) = -2*g**5 + 10*g**3 + g**2 + 318*g + 9. Let b(x) = x**5 - 6*x**3 - 159*x - 5. Let o(t) = 5*b(t) + 3*m(t). Find the second derivative of o(r) wrt r.
-20*r**3 + 6
Let w(k) be the second derivative of 26*k**6/5 - 505*k**2/2 - 140*k. What is the derivative of w(x) wrt x?
624*x**3
Let d(m) be the second derivative of m**6/6 - 31*m**5/20 - 118*m**3/3 - m**2/2 + 73*m. Find the second derivative of d(y) wrt y.
60*y**2 - 186*y
Let s(i) = -3*i + 7. Let d be s(-9). What is the derivative of d - 13*v + 0 - 15*v - 9*v wrt v?
-37
Let p be (3 + 4 + -2)*-7. Let h(l) = -95*l**3 + 60. Let s(v) = -8*v**3 + 5. Let i(m) = p*s(m) + 3*h(m). What is the first derivative of i(q) wrt q?
-15*q**2
Let h(v) be the first derivative of 2*v**4/3 + 7*v**2/2 + 14*v + 13. Let y(t) be the first derivative of h(t). Different | {
"pile_set_name": "DM Mathematics"
} |
0)/(v**0/v)**(-1/27) assuming v is positive.
v**(-1621/27)
Simplify ((u**(-3/2))**(-29))**(-25) assuming u is positive.
u**(-2175/2)
Simplify (g*g**3/g)**(-36) assuming g is positive.
g**(-108)
Simplify ((g*g/((g*g/(g/(g*g/g**(-11)))*g)/g)*g)/g**(6/5))**(-8) assuming g is positive.
g**(488/5)
Simplify (j**(-29)*j)/(j*j**(-13)) assuming j is positive.
j**(-16)
Simplify ((r*r**(-1)/r)**3)**(-2/3) assuming r is positive.
r**2
Simplify (o**0/o)**(-12)*o**(1/6)/(o*(o/o**(-2/3))/o*o) assuming o is positive.
o**(19/2)
Simplify ((o**0)**13)**(-39/2) assuming o is positive.
1
Simplify ((b/(b/((b/b**(1/2))/b)))**(-39))**(2/13) assuming b is positive.
b**3
Simplify ((o**(-1/5)*o)/(o/(o**(-2/5)/o*o*o)))/(o/(o**(-2)*o))**(-22/7) assuming o is positive.
o**(234/35)
Simplify (q**5/q)**(-16) assuming q is positive.
q**(-64)
Simplify (q*q**2)/q*(q**(-3)/q)/q*(q**(-2))**14 assuming q is positive.
q**(-31)
Simplify j*j**(-14/5)*j*j/j**(-20) assuming j is positive.
j**(101/5)
Simplify t**(-1/10)*t**(3/5)/t assuming t is positive.
1/sqrt(t)
Simplify (f**(1/2)/f*f)**(-1/17)/((f**3*f)/((f/((((f/(f**(-2)/f))/f)/f)/f))/f*f)) assuming f is positive.
f**(-137/34)
Simplify (h**(-5))**(-2) assuming h is positive.
h**10
Simplify ((q**(2/11)/q)/(q**(-2)*q))/(q/(q*q**1))**(-20) assuming q is positive.
q**(-218/11)
Simplify n*n**(3/10)*n*n*n/(n**10/n)*n assuming n is positive.
n**(-37/10)
Simplify z**(3/17)*z**(-2/79)/z assuming z is positive.
z**(-1140/1343)
Simplify (h**(-1)*h**(1/3))/(h**(2/9)/(h/h**1)) assuming h is positive.
h**(-8/9)
Simplify (y*y**8)/y*y/(y**(1/5)/y)*y*y/y**(2/11)*y/(y*y**(2/9)/y) assuming y is positive.
y**(6136/495)
Simplify (d*d**(-18))**(1/21) assuming d is positive.
d**(-17/21)
Simplify y**(-14)/((y*(y/(y*y/(y/(y*y/(y**(-2/61)*y)))))/y*y)/y) assuming y is positive.
y**(-791/61)
Simplify (d**(-2))**48/(d/d**(1/3)*d**(-3/7)) assuming d is positive.
d**(-2021/21)
Simplify (l/l**(-6)*l)**(-23/5) assuming l is positive.
l**(-184/5)
Simplify n/((n**(-6/7)*n)/n)*(n*n**(-1))/n*(n/(n**(-7)/n))/n**(2/7) assuming n is positive.
n**(67/7)
Simplify ((n/((n*n**(1/3)*n)/n))/n*(n*n**7)/n)/(n**(3/4)/n**(-1/9)) assuming n is positive.
n**(173/36)
Simplify (x**7/x)**17 assuming x is positive.
x**102
Simplify ((o**(4/7)/o)/(o*o**3))/(o**1*o**(1/8)) assuming o is positive.
o**(-311/56)
Simplify (p*(((((p**(-1/4)/p)/p)/p*p)/p)/p)/p)**(-14) assuming p is positive.
p**(119/2)
Simplify i*i*i/(i*(i/((((i**(8/5)/i)/i)/i*i)/i*i))/i)*i**(-21) assuming i is positive.
i**(-97/5)
Simplify d**(7/4)*d*d**(20/7) assuming d is positive.
d**(157/28)
Simplify ((x*(x/(x**1*x))/x*x)**(-12/5))**40 assuming x is positive.
1
Simplify (b**(2/17)*b/b**(3/4))**(1/13) assuming b is positive.
b**(25/884)
Simplify (w/(w*w**(-2/3)))/w**18 assuming w is positive.
w**(-52/3)
Simplify a*a**(-12)*a*a*a**23 assuming a is positive.
a**14
Simplify ((u*u/(u*u/(u/(u/u**(1/11)))))/u**6)**(-25/4) assuming u is positive.
u**(1625/44)
Simplify (w/w**(-14))**(1/43) assuming w is positive.
w**(15/43)
Simplify ((g**0*g)**(2/165))**38 assuming g is positive.
g**(76/165)
Simplify (z*z/(z**(3/16)/z*z*z))/((z/(z/(z**(-12/17)/z*z)))/z) assuming z is positive.
z**(685/272)
Simplify (o**(-5)*(o**(-1/11)/o*o)/o)/(o**(2/3))**(2/29) assuming o is positive.
o**(-5873/957)
Simplify m*(((m**(-2/9)*m)/m)/m)/m*(m/m**7)/m*m*((m*m**(2/11))/m)/m*m*m**(-10)/m assuming m is positive.
m**(-1786/99)
Simplify (((u/u**(-1))/u)/u)**49/((u/(u/u**6))/(u*u/((u/(u*u/(u/(u**1*u*u*u))*u))/u*u))) assuming u is positive.
u
Simplify (x**(1/4))**(-15/11)*(x*x**(-1/3))**(1/12) assuming x is positive.
x**(-113/396)
Simplify ((k*k**(-2)/k)/(k**(-1/2)/k))/((k/(k**(-7)*k))/((k/k**7)/k*k)) assuming k is positive.
k**(-27/2)
Simplify (x*x**2*x)**(-49)/(x*x**(2/7)/x*x)**(2/13) assuming x is positive.
x**(-17854/91)
Simplify (v*v**38)/(v/v**(-21)) assuming v is positive.
v**17
Simplify (u/(u*u**(-3)/u*u*u*u))/((u**13*u)/u) assuming u is positive.
u**(-12)
Simplify (l**(2/7)*l*l*l)**(-10/7)*(l/l**4*l)/(((l/(l/(l*((l*l**(-6)*l)/l)/l)))/l)/l) assuming l is positive.
l**(15/49)
Simplify (b**(-2/5)/b)**(-2/21)/(b**(-1/2))**45 assuming b is positive.
b**(679/30)
Simplify (r/(r/(r/(r**(-1/3)*r))))**(-3)*(r**(2/7)/r)**(2/9) assuming r is positive.
r**(-73/63)
Simplify (s*(s/(s/(s*s**(-1/34))))/s)/(s/((s*(s/((s/s**(-2/73))/s))/s)/s)*s*s) assuming s is positive.
s**(-5105/2482)
Simplify ((j**(5/6)/j)/j)/(j**(-3/4)/j) assuming j is positive.
j**(7/12)
Simplify (d**8*d)**(1/27) assuming d is positive.
d**(1/3)
Simplify (n**(-5)/n)/n*n*n**(-7)*(n**(-5/3)/n)/(n*n*n**(2/23)*n) assuming n is positive.
n**(-1294/69)
Simplify (l/(l**(9/8)/l))/l*l*l**(-9/7)/l assuming l is positive.
l**(-79/56)
Simplify ((z**(-6)*z*z*z)/((z*z*z**(-6))/z))**(1/3) assuming z is positive.
z**(2/3)
Simplify n**(3/4)/(n/n**(9/2)) assuming n is positive.
n**(17/4)
Simplify (j*j*(j/(j/(j*j**(-36))*j))/j*j)/((j**19*j)/j) assuming j is positive.
j**(-53)
Simplify (d*(d**14/d)/d)**(1/6) assuming d is positive.
d**(13/6)
Simplify (g**0)**(-25)/(g**(3/10)/(g*g*g**(-1/8))) assuming g is positive.
g**(63/40)
Simplify (h*h**0*h)**(1/11)*h**(-1/4)/(h/(h/((h/h**(-1/2))/h))*h) assuming h is positive.
h**(-69/44)
Simplify (o**(7/4))**12 assuming o is positive.
o**21
Simplify (l**(-2/13)*l)**(-1) assuming l is positive.
l**(-11/13)
Simplify (t/(t**(2/25)/t)*t**(1/4))**(-28) assuming t is positive.
t**(-1519/25)
Simplify (x*x**32/x)**(6/37) assuming x is positive.
x**(192/37)
Simplify ((z/(z*z**5*z*z))/((z/(z/(z/z**6)))/z))/(z**(1/3)/(z*z*z**(-2/19))) assuming z is positive.
z**(32/57)
Simplify (q/(q*q**(-2/7)/q*q))**(-35)/(q/((q/(q*q**(-4))*q)/q)*q**7) assuming q is positive.
q**(-14)
Simplify (s*(s**8/s*s)/s*s)/s**(-5/3)*s**(-1/4)*s*s**(-3/5) assuming s is positive.
s**(649/60)
Simplify w**(-21)/w**(16/5) assuming w is positive.
w**(-121/5)
Simplify m/(m*m**(-15)/m*m)*m**(1/22)*m*m assuming m is positive.
m**(375/22)
Simplify u**23/u**5 assuming u is positive.
u**18
Simplify ((t**(-1/3)/t)/t**(3/4))/(t*(t**(-1)*t)/t*t*t**(-1/4)) assuming t is positive.
t**(-17/6)
Simplify ((h**(-2)/h)**45)**(-26) assuming h is positive.
h**3510
Simplify (m*m**1*m)**(18/7)/(m/m**(-2/5))**(-42) assuming m is positive.
m**(2328/35)
Simplify (b/b**11)**(-18/5) assuming b is positive.
b**36
Simplify n**(4/5)*n*n/(n/((n*n*n**2)/n))*(n*n**(-2/13)*n*n)/n**9 assuming n is positive.
n**(-88/65)
Simplify (t**0)**(-11)/(t*t**(1/6)*t*t*t**1) assuming t is positive.
t**(-25/6)
Simplify r**1*r*r*(r/r**(3/2))/r*r*r*(r/(r/(r/r**(-2/3))*r))**(-23/3) assuming r is positive.
r**(-29/18)
Simplify (r**(1/6)*(r*r/(r/r**6))/r)**(-44) assuming r is positive.
r**(-814/3)
Simplify (z*(((z*z**22)/z)/z)/z)/(z/((z**(2/49)/z)/z*z)) assuming z is positive.
z**(933/49)
Simplify l**11/(l**2/l) assuming l is positive.
l**10
Simplify ((b*b**(-2/13))/b**(3/5))**(-18) assuming b is positive.
b**(-288/65)
Simplify (t**10/t**(-15))**(-34) assuming t is positive.
t**(-850)
Simplify (v/(v**(-3/7)/v)*v/v**(3/8))**43 assuming v is positive.
v**(7353/56)
Simplify (k**0)**32*(k*k**(-1/11))/k**7 assuming k is positive.
k**(-67/11)
Simplify (r*r**(2/45))/r**(-2) assuming r is positive.
r**(137/45)
Simplify ((s**1)**(2/47))**(-50) assuming s is positive.
s**(-100/47)
Simplify (g**(1/3))**29/(g*g**(-1/3)*g)**(-34) assuming g is positive.
g**(199/3)
Simplify (d*d*d/(d/(d*d*d*d*(d*d*(d/((d/d**2)/d))/d)/d*d))*d)**(1/5) assuming d is positive.
d**(11/5)
Simplify (x*x/(x*x**(-1/2)))/x**(1/6)*x/(x*x**(-1)*x*x)*x/(x*x/x**(-1/6)) assuming x is positive.
x**(-5/6)
Simplify (((a**(3/4)/a)/a)/(a/(a/a**1)))/(a*a/a**(-2)*a*a*a*a**(-7)*a*a) assuming a is positive.
a**(-17/4)
Simplify (i**(-2/7)*i)**(-6/11)*(i**(-1/4))**(-14) assuming i is positive.
i**(479/154)
Simplify (i**(-7/3)*i)**9 assuming i is positive.
i**(-12)
Simplify ((d/(d*d*(d/(d**11/d))/d*d))/d)/(d*(d*d**(-10))/d) assuming d is positive.
d**16
Simplify b**(-8/5)*b**22 assuming b is positive.
b**(102/5)
Simplify (((d*(d*(d**2/d)/d)/d*d*d)/d*d)/(d/d**4*d))**(2/9) assuming d is positive.
d**(10/9)
Simplify (q**(4/7)*q**10)**33 assuming q is positive.
q**(2442/7)
Simplify (g/(g**21/g))**(-2/17) assuming g is positive.
g**(38/17)
Simplify r**(-25)*r*r**(-3) assuming r is positive.
r**(-27)
Simplify (a**(-4)*a/(a/(a/a**4))*a* | {
"pile_set_name": "DM Mathematics"
} |
etters picked without replacement from {h: 11, x: 6, y: 2}. What is prob of picking 2 y and 1 x?
2/323
What is prob of picking 1 q and 1 e when two letters picked without replacement from {r: 6, q: 3, e: 2, z: 1}?
1/11
What is prob of picking 1 t and 1 g when two letters picked without replacement from tttytgbtybbtybybyb?
2/51
Four letters picked without replacement from jbffqhfqjfjf. Give prob of picking 1 b, 1 q, 1 h, and 1 f.
2/99
Four letters picked without replacement from {f: 4, l: 4, x: 2}. What is prob of picking 1 x and 3 l?
4/105
Two letters picked without replacement from nnpvqnqqeqvqqeqqqqqq. Give prob of picking 2 p.
0
Four letters picked without replacement from {x: 1, e: 9, d: 1, n: 1, l: 1, s: 4}. Give prob of picking 1 e, 1 n, and 2 s.
27/1190
Calculate prob of picking 2 y, 1 g, and 1 r when four letters picked without replacement from ykykkkykkkrgw.
3/715
Two letters picked without replacement from {p: 4, o: 1, w: 1, s: 2, k: 2}. What is prob of picking 1 o and 1 s?
2/45
What is prob of picking 3 p and 1 g when four letters picked without replacement from gppgpgpp?
3/7
Two letters picked without replacement from pppppypppppppppppppp. What is prob of picking 1 y and 1 p?
1/10
Four letters picked without replacement from {k: 4, m: 3, g: 2, j: 6, f: 1}. Give prob of picking 3 j and 1 k.
4/91
Two letters picked without replacement from aaadpadelpaammpaaa. Give prob of picking 1 p and 1 m.
2/51
Calculate prob of picking 2 a and 1 m when three letters picked without replacement from {a: 5, m: 7}.
7/22
Calculate prob of picking 2 f when two letters picked without replacement from {p: 1, i: 6, f: 8, c: 1}.
7/30
What is prob of picking 1 o and 2 w when three letters picked without replacement from {w: 9, o: 11}?
33/95
Calculate prob of picking 2 t, 1 j, and 1 y when four letters picked without replacement from tymaamjottatyatymtmo.
3/323
Calculate prob of picking 4 c when four letters picked without replacement from {y: 5, c: 14}.
1001/3876
What is prob of picking 1 z and 1 s when two letters picked without replacement from llzlzllzllzsz?
5/78
Two letters picked without replacement from {f: 11, x: 1}. Give prob of picking 2 f.
5/6
Three letters picked without replacement from icaiccxiiacaqiqaaci. What is prob of picking 2 i and 1 a?
25/323
Four letters picked without replacement from {z: 2, s: 10, v: 2, e: 1, l: 1}. Give prob of picking 1 s, 2 z, and 1 e.
1/182
What is prob of picking 1 h, 1 f, and 1 j when three letters picked without replacement from fjdhjjfjdjddhjjhjjjf?
3/38
Two letters picked without replacement from uutuukkkkuktu. What is prob of picking 2 t?
1/78
Two letters picked without replacement from {g: 1, j: 1, s: 2, d: 2, i: 2}. What is prob of picking 1 s and 1 i?
1/7
What is prob of picking 3 q when three letters picked without replacement from {q: 7}?
1
What is prob of picking 1 o and 1 m when two letters picked without replacement from {o: 1, w: 3, l: 3, d: 1, p: 2, m: 3}?
1/26
Four letters picked without replacement from rnnnttaannarnani. Give prob of picking 2 a, 1 r, and 1 t.
6/455
What is prob of picking 1 x and 2 p when three letters picked without replacement from {p: 4, x: 1, c: 2}?
6/35
Calculate prob of picking 2 t when two letters picked without replacement from ttttttt.
1
Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, w: 2, k: 11}.
21/190
What is prob of picking 1 p and 1 l when two letters picked without replacement from {j: 3, r: 2, x: 2, p: 2, m: 4, l: 1}?
2/91
Calculate prob of picking 1 v and 1 u when two letters picked without replacement from vubu.
1/3
Three letters picked without replacement from {n: 6, c: 12}. What is prob of picking 2 n and 1 c?
15/68
Four letters picked without replacement from {m: 14, w: 5}. Give prob of picking 4 w.
5/3876
Calculate prob of picking 3 y and 1 r when four letters picked without replacement from {y: 3, f: 1, r: 3, x: 3}.
1/70
Three letters picked without replacement from jyypjjyxxjlp. What is prob of picking 1 l and 2 y?
3/220
Four letters picked without replacement from {w: 1, z: 4, x: 1, i: 2}. What is prob of picking 1 i, 2 z, and 1 w?
6/35
What is prob of picking 2 l and 1 v when three letters picked without replacement from ulvvlluuu?
1/14
Four letters picked without replacement from {j: 6, x: 1, r: 6, v: 1, l: 1, z: 5}. Give prob of picking 1 r, 1 j, 1 z, and 1 l.
12/323
What is prob of picking 1 z and 3 d when four letters picked without replacement from {z: 6, d: 13}?
143/323
Three letters picked without replacement from {b: 1, n: 1, u: 4, a: 3, h: 8}. What is prob of picking 1 h, 1 b, and 1 u?
4/85
Calculate prob of picking 1 x and 1 z when two letters picked without replacement from xzzokkzxxrk.
9/55
Calculate prob of picking 1 p, 1 d, and 1 s when three letters picked without replacement from {o: 3, p: 4, d: 2, s: 1}.
1/15
Two letters picked without replacement from {v: 1, y: 8, i: 1, e: 1, t: 2, b: 1}. What is prob of picking 1 y and 1 b?
8/91
Calculate prob of picking 1 a, 1 h, and 1 b when three letters picked without replacement from bbbhhabbhbhaa.
36/143
Two letters picked without replacement from {y: 1, h: 2, q: 1, u: 1, f: 1, n: 1}. What is prob of picking 1 n and 1 h?
2/21
Calculate prob of picking 1 e and 3 s when four letters picked without replacement from essssseeseeee.
28/143
What is prob of picking 1 m and 1 f when two letters picked without replacement from amaff?
1/5
What is prob of picking 1 j, 2 z, and 1 r when four letters picked without replacement from jrvzrzjzpzkkkvj?
12/455
Calculate prob of picking 1 v and 2 t when three letters picked without replacement from tttvvttttvtttt.
165/364
Calculate prob of picking 3 b and 1 o when four letters picked without replacement from bllbbbbblllboobb.
6/65
Four letters picked without replacement from {n: 9, q: 2}. Give prob of picking 1 q and 3 n.
28/55
Calculate prob of picking 1 b and 2 k when three letters picked without replacement from {b: 15, k: 4}.
30/323
Four letters picked without replacement from jjjjjijijjj. What is prob of picking 2 i and 2 j?
6/55
Two letters picked without replacement from yaaaaaaa. Give prob of picking 2 a.
3/4
Three letters picked without replacement from nao. Give prob of picking 1 a and 2 o.
0
Calculate prob of picking 3 s when three letters picked without replacement from lllssdlllhhsslses.
1/34
Calculate prob of picking 3 t when three letters picked without replacement from rlllttttttl.
4/33
Calculate prob of picking 1 g and 1 k when two letters picked without replacement from {g: 2, k: 2}.
2/3
Four letters picked without replacement from ojzlkmk. Give prob of picking 2 k, 1 l, and 1 j.
1/35
Two letters picked without replacement from {b: 4}. Give prob of picking 2 b.
1
What is prob of picking 1 n and 3 m when four letters picked without replacement from {m: 4, n: 7}?
14/165
Two letters picked without replacement from {b: 1, c: 4, q: 1, z: 3, x: 2}. What is prob of picking 2 c?
6/55
Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {c: 5, t: 1, f: 2, z: 1, y: 1}.
1/9
Calculate prob of picking 2 q and 2 h when four letters picked without replacement from {q: 2, x: 1, h: 2}.
1/5
What is prob of picking 3 h when three letters picked without replacement from ohooohho?
1/56
What is prob of picking 1 a, 2 h, and 1 c when four letters picked without replacement from {h: 8, a: 2, w: 3, c: 6}?
28/323
Calculate prob of picking 1 c, 1 f, 1 d, and 1 b when four letters picked without replacement from {d: 1, b: 4, f: 3, c: 9, r: 1}.
3/85
What is prob of picking 2 r and 1 q when three letters picked without replacement from {q: 7, r: 1, y: 5, w: 3}?
0
Calculate prob of picking 2 d and 2 b when four letters picked without replacement from fbvbaxdd.
1/70
What is prob of picking 1 y and 1 n when two letters picked without replacement from wxznzzyywxzxxzzwzx?
2/153
Four letters picked without replacement from {j: 1, i: 3, w: 4, p: 2, y: 3, f: 4}. What is prob of picking 1 p and 3 w?
2/595
What is prob of picking 3 k when three letters picked without replacement from {q: 4, k: 3}?
1/35
Three letters picked without replacement from xsjqmsxxxmxxqxsxmx. What is prob of picking 1 x and 2 q?
3/272
| {
"pile_set_name": "DM Mathematics"
} |
prob of sequence fff when three letters picked without replacement from ffffff?
1
Four letters picked without replacement from zzzzszzszzzzszszszzz. Give prob of sequence zszz.
455/3876
Two letters picked without replacement from {s: 2, f: 2, v: 8}. Give prob of sequence fv.
4/33
Three letters picked without replacement from bcddbpbddccd. What is prob of sequence pdb?
1/88
Calculate prob of sequence kkl when three letters picked without replacement from kkklkl.
1/5
Four letters picked without replacement from aavva. What is prob of sequence vava?
1/10
Calculate prob of sequence iii when three letters picked without replacement from riiiriiiiiiiri.
165/364
What is prob of sequence gavu when four letters picked without replacement from xxuagbbbubvubbbbbb?
1/24480
What is prob of sequence cce when three letters picked without replacement from {c: 12, e: 6}?
11/68
Calculate prob of sequence qbqr when four letters picked without replacement from bqqrrqrbr.
1/63
Calculate prob of sequence ww when two letters picked without replacement from {w: 7}.
1
Three letters picked without replacement from {j: 6, k: 7}. Give prob of sequence jjk.
35/286
What is prob of sequence rkkk when four letters picked without replacement from {r: 8, k: 5}?
4/143
Four letters picked without replacement from {q: 6, k: 4, a: 2}. What is prob of sequence aakq?
2/495
Calculate prob of sequence jvdv when four letters picked without replacement from {d: 1, v: 1, u: 1, p: 1, j: 1}.
0
Calculate prob of sequence dlll when four letters picked without replacement from {l: 15, d: 3}.
91/816
Four letters picked without replacement from {g: 3, r: 4}. Give prob of sequence rrrg.
3/35
Three letters picked without replacement from xxbbxbbgxbb. Give prob of sequence bgx.
4/165
Calculate prob of sequence uqqu when four letters picked without replacement from uuvuuququququqq.
2/39
Four letters picked without replacement from {t: 2, l: 8, d: 2}. What is prob of sequence lllt?
28/495
What is prob of sequence xx when two letters picked without replacement from {z: 9, x: 7}?
7/40
Four letters picked without replacement from {r: 4, j: 2, g: 1}. Give prob of sequence gjrg.
0
Two letters picked without replacement from lllllllllllllfl. Give prob of sequence ll.
13/15
Calculate prob of sequence rpt when three letters picked without replacement from tppcrpqprrr.
8/495
Three letters picked without replacement from {q: 7, l: 2, r: 5}. What is prob of sequence rqr?
5/78
Two letters picked without replacement from mmmu. What is prob of sequence mm?
1/2
What is prob of sequence qqe when three letters picked without replacement from qqqqeqqqeqeqqqqqqqqq?
34/285
Two letters picked without replacement from ojjoooj. Give prob of sequence oo.
2/7
Calculate prob of sequence dal when three letters picked without replacement from ayludluloduddod.
1/182
What is prob of sequence qxq when three letters picked without replacement from xxxqqqqqxx?
5/36
Two letters picked without replacement from hmhhmhe. What is prob of sequence hh?
2/7
Three letters picked without replacement from ccgcccghggjhj. What is prob of sequence hcj?
5/429
Calculate prob of sequence sswp when four letters picked without replacement from wpsbrbsr.
1/840
Two letters picked without replacement from dyddykyyykyyk. What is prob of sequence ky?
7/52
What is prob of sequence cm when two letters picked without replacement from {m: 3, s: 7, q: 1, e: 1, c: 1}?
1/52
Calculate prob of sequence og when two letters picked without replacement from ooomaoopg.
5/72
Four letters picked without replacement from {r: 7, m: 3}. Give prob of sequence mmmm.
0
What is prob of sequence ckck when four letters picked without replacement from {c: 2, k: 5, a: 3}?
1/126
Calculate prob of sequence cc when two letters picked without replacement from ckccicccccppkcip.
3/10
What is prob of sequence nn when two letters picked without replacement from nnnnnnnnn?
1
Four letters picked without replacement from {z: 2, y: 2}. Give prob of sequence zyzy.
1/6
Calculate prob of sequence yj when two letters picked without replacement from ggggwjmmggkggy.
1/182
Calculate prob of sequence bb when two letters picked without replacement from {d: 1, b: 5, z: 6, r: 1, f: 1}.
10/91
What is prob of sequence jtj when three letters picked without replacement from wtijwjwjwi?
1/120
Two letters picked without replacement from {n: 2, r: 2, k: 1, v: 2, a: 1, z: 4}. What is prob of sequence za?
1/33
Calculate prob of sequence eerr when four letters picked without replacement from {e: 10, r: 4}.
45/1001
Three letters picked without replacement from gtiyj. Give prob of sequence tiy.
1/60
What is prob of sequence uuyu when four letters picked without replacement from yuyuuuuy?
3/28
Calculate prob of sequence xxj when three letters picked without replacement from jxxjxxxjxjx.
28/165
Four letters picked without replacement from vvovlvvolovvvolvvv. What is prob of sequence ollv?
11/3060
What is prob of sequence db when two letters picked without replacement from xbbkbdxbd?
1/9
Three letters picked without replacement from {r: 9, u: 3}. What is prob of sequence uuu?
1/220
What is prob of sequence kcc when three letters picked without replacement from {k: 1, j: 2, n: 4, c: 1}?
0
Four letters picked without replacement from {k: 7, l: 6, j: 1, f: 1}. Give prob of sequence llkf.
1/156
Two letters picked without replacement from {p: 2, e: 1, a: 2, v: 12, g: 1}. Give prob of sequence ge.
1/306
What is prob of sequence kckc when four letters picked without replacement from {k: 2, p: 1, c: 4, r: 2}?
1/126
What is prob of sequence mmld when four letters picked without replacement from ttllltlttdmlxtmlt?
1/4760
Calculate prob of sequence vg when two letters picked without replacement from gghhghhbcvgvv.
1/13
What is prob of sequence sq when two letters picked without replacement from ggmsgcsqgmqgqiggmc?
1/51
Calculate prob of sequence ekk when three letters picked without replacement from kekkekkekk.
7/40
Two letters picked without replacement from {d: 2, p: 9}. Give prob of sequence pd.
9/55
Four letters picked without replacement from {g: 1, i: 1, h: 2, f: 1, c: 1, s: 2}. Give prob of sequence hcfg.
1/840
Four letters picked without replacement from eeeeeeeeee. Give prob of sequence eeee.
1
What is prob of sequence pejj when four letters picked without replacement from jjepejjejjjeep?
5/286
What is prob of sequence tmm when three letters picked without replacement from {h: 2, m: 2, t: 5, a: 6, e: 3}?
5/2448
What is prob of sequence yyl when three letters picked without replacement from {y: 5, l: 3, q: 2}?
1/12
Three letters picked without replacement from tlowowrthoohhhoowwt. What is prob of sequence olo?
5/969
Two letters picked without replacement from mlbvg. What is prob of sequence bg?
1/20
Calculate prob of sequence iff when three letters picked without replacement from yifyylyfyyffy.
1/143
Calculate prob of sequence ftt when three letters picked without replacement from {f: 3, t: 12}.
66/455
Calculate prob of sequence vzvv when four letters picked without replacement from zzvvvzv.
3/35
Three letters picked without replacement from {h: 1, z: 3, a: 3, r: 3}. Give prob of sequence rzh.
1/80
Calculate prob of sequence vixv when four letters picked without replacement from {v: 4, x: 1, i: 2}.
1/35
Two letters picked without replacement from {p: 1, m: 1, r: 1}. What is prob of sequence mp?
1/6
Calculate prob of sequence oggo when four letters picked without replacement from gooogogoooo.
7/165
Two letters picked without replacement from {u: 1, n: 2, j: 1, e: 1}. Give prob of sequence je.
1/20
Four letters picked without replacement from ccwcccwcwwccwccc. What is prob of sequence cccc?
33/182
Three letters picked without replacement from {j: 3, b: 4}. What is prob of sequence bbb?
4/35
Three letters picked without replacement from sssssslslllssslslls. Give prob of sequence sss.
220/969
What is prob of sequence pll when three letters picked without replacement from plllpplplllllp?
15/91
Calculate prob of sequence ttj when three letters picked without replacement from {p: 6, v: 2, j: 3, t: 2, b: 3}.
1/560
What is prob of sequence nbbp when four letters picked without replacement from kbnbkpkkppnhybbknbbk?
3/1292
Wha | {
"pile_set_name": "DM Mathematics"
} |
?
15500
How many millimeters are there in 1/4 of a meter?
250
What is one fifth of a decade in months?
24
How many grams are there in one tenth of a kilogram?
100
How many meters are there in 29/5 of a kilometer?
5800
How many tonnes are there in 0.2292064 nanograms?
0.0000000000000002292064
How many millimeters are there in 13/5 of a centimeter?
26
How many millilitres are there in 26/5 of a litre?
5200
How many months are there in four thirds of a century?
1600
What is 1/4 of a litre in millilitres?
250
What is 25.66899 grams in kilograms?
0.02566899
What is 84139.26mm in nanometers?
84139260000
What is 1/5 of a litre in millilitres?
200
What is 40609.38 milligrams in nanograms?
40609380000
What is 7/2 of a litre in millilitres?
3500
What is thirty-three fifths of a meter in centimeters?
660
What is 7/2 of a kilogram in grams?
3500
Convert 449099.7 kilometers to meters.
449099700
What is fourty-three halves of a millimeter in micrometers?
21500
Convert 308532.5ml to litres.
308.5325
How many years are there in 1/5 of a millennium?
200
How many nanometers are there in one quarter of a micrometer?
250
How many millimeters are there in 6/25 of a meter?
240
What is fifty-four fifths of a minute in seconds?
648
What is 0.6803907 centimeters in meters?
0.006803907
How many grams are there in 5/4 of a kilogram?
1250
What is three fifths of a century in years?
60
What is three tenths of a minute in milliseconds?
18000
Convert 973891.2ms to minutes.
16.23152
What is 0.6609475 litres in millilitres?
660.9475
What is 53.75035nm in millimeters?
0.00005375035
Convert 301443.4 milligrams to kilograms.
0.3014434
How many grams are there in 47/4 of a kilogram?
11750
Convert 9561.527t to milligrams.
9561527000000
How many millilitres are there in six fifths of a litre?
1200
How many milliseconds are there in 924.2883us?
0.9242883
What is one sixteenth of a millimeter in nanometers?
62500
What is 323825.7 millimeters in meters?
323.8257
How many millilitres are there in 13/8 of a litre?
1625
What is 6.290924 millimeters in micrometers?
6290.924
How many millilitres are there in 6909.202 litres?
6909202
What is 55/2 of a meter in millimeters?
27500
What is sixteen sevenths of a week in hours?
384
How many centimeters are there in 1/10 of a kilometer?
10000
How many millilitres are there in 5/8 of a litre?
625
How many centuries are there in 46/5 of a millennium?
92
What is 2272.449g in tonnes?
0.002272449
What is fifty-seven fifths of a millennium in centuries?
114
How many millilitres are there in 7.89164 litres?
7891.64
What is 18/5 of a litre in millilitres?
3600
How many decades are there in twenty-nine halves of a century?
145
How many years are there in 1.397321 centuries?
139.7321
What is twenty-seven quarters of a kilometer in meters?
6750
What is 327.745 nanoseconds in seconds?
0.000000327745
How many centuries are there in 694156.9 decades?
69415.69
How many meters are there in 50.9303 micrometers?
0.0000509303
How many litres are there in 589443.7ml?
589.4437
Convert 0.5301672 centuries to decades.
5.301672
How many tonnes are there in 434.5828g?
0.0004345828
How many seconds are there in 67.5128us?
0.0000675128
How many nanometers are there in six fifths of a micrometer?
1200
What is 49.18755 nanograms in micrograms?
0.04918755
What is 4952.884 millennia in years?
4952884
Convert 69432.15l to millilitres.
69432150
How many seconds are there in 1/36 of a day?
2400
What is 3/5 of a microgram in nanograms?
600
Convert 840.45681 microseconds to hours.
0.000000233460225
Convert 6111.928 centuries to decades.
61119.28
What is 2847.088 millilitres in litres?
2.847088
What is 1/4 of a litre in millilitres?
250
How many centimeters are there in 31/2 of a meter?
1550
What is 145.39047 months in millennia?
0.0121158725
What is 751.674 tonnes in micrograms?
751674000000000
What is one quarter of a litre in millilitres?
250
What is one sixteenth of a milligram in nanograms?
62500
What is 35.688195 milliseconds in days?
0.0000004130578125
What is 2/125 of a second in microseconds?
16000
What is one tenth of a litre in millilitres?
100
What is 0.7336869nm in centimeters?
0.00000007336869
How many years are there in 976.8604 centuries?
97686.04
Convert 0.2883101ml to litres.
0.0002883101
What is twenty-seven fifths of a litre in millilitres?
5400
How many minutes are there in 1015.9782 seconds?
16.93297
How many seconds are there in one sixteenth of a day?
5400
How many kilograms are there in 3970.15g?
3.97015
Convert 6.318078 minutes to seconds.
379.08468
What is five sixths of a hour in seconds?
3000
How many microseconds are there in 17/4 of a millisecond?
4250
How many litres are there in 49801.43 millilitres?
49.80143
How many nanoseconds are there in 0.5947803 seconds?
594780300
How many milliseconds are there in 6/5 of a minute?
72000
What is 186.8001723s in weeks?
0.00030886271875
How many micrograms are there in fifty-four fifths of a milligram?
10800
How many centimeters are there in 37/5 of a meter?
740
What is fifty-one halves of a millennium in centuries?
255
How many minutes are there in 25/7 of a week?
36000
What is twenty-seven quarters of a litre in millilitres?
6750
Convert 495730.9 grams to milligrams.
495730900
What is 3.818541g in milligrams?
3818.541
Convert 7.568169 months to decades.
0.063068075
How many decades are there in 0.3098662 years?
0.03098662
How many grams are there in 0.0025147ug?
0.0000000025147
What is three fifths of a litre in millilitres?
600
How many millilitres are there in 6/25 of a litre?
240
How many millilitres are there in 4846.68 litres?
4846680
What is 3/32 of a tonne in grams?
93750
How many minutes are there in 29/3 of a hour?
580
Convert 0.8026658 centuries to years.
80.26658
What is 9046.681 weeks in days?
63326.767
How many centuries are there in fourty-six fifths of a millennium?
92
How many centimeters are there in 42/5 of a meter?
840
What is 2883.4332 months in years?
240.2861
How many milliseconds are there in 52/5 of a second?
10400
Convert 31.21823 millimeters to meters.
0.03121823
What is 3739.78 centuries in millennia?
373.978
What is three tenths of a litre in millilitres?
300
What is 469.786 millennia in months?
5637432
How many millilitres are there in 82.0214 litres?
82021.4
Convert 20414.85 millilitres to litres.
20.41485
Convert 0.4058712 millilitres to litres.
0.0004058712
What is eleven quarters of a kilogram in grams?
2750
How many years are there in 87.48667 decades?
874.8667
What is thirteen eighths of a meter in millimeters?
1625
What is 30291.4 decades in months?
3634968
What is 2/75 of a century in months?
32
How many millilitres are there in 12/25 of a litre?
480
What is 48/5 of a minute in seconds?
576
What is 55/4 of a kilometer in meters?
13750
What is 48/5 of a microgram in nanograms?
9600
What is 3/25 of a kilogram in grams?
120
What is six fifths of a microgram in nanograms?
1200
What is 0.6385544 micrometers in kilometers?
0.0000000006385544
What is 0.8053607 days in milliseconds?
69583164.48
How many micrometers are there in 3/16 of a centimeter?
1875
What is 1/4 of a micrometer in nanometers?
250
How many micrograms are there in 13/5 of a milligram?
2600
How many kilometers are there in 0.9560609nm?
0.0000000000009560609
What is thirteen quarters of a litre in millilitres?
3250
What is 27/2 of a century in decades?
135
What is 57532.3 years in millennia?
57.5323
What is one quarter of a gram in milligrams?
250
What is 93.83709 millennia in centuries?
938.3709
What is 0.66807 millimeters in micrometers?
668.07
Convert 29263.44 millimeters to centimeters.
2926.344
What is 622.0425kg in milligrams?
622042500
How many meters are there in 5339.478cm?
53.39478
How many centimeters are there in three fifths of a meter?
60
Convert 0.278484l to millilitres.
278.484
Convert 6407.351km to micrometers.
6407351000000
Convert 41036.6 decades to millennia.
410.366
How many kilograms are there in three fifths of a tonne?
600
What is 7197.311 litres in millilitres?
7197311
What is one fifth of a litre in millilitres?
200
How many micrograms are there in 3/5 of a milligram?
600
What is eighty-eight fifths of a tonne in kilograms?
17600
What is 2863.283 millilitres in litres?
2.863283
Conver | {
"pile_set_name": "DM Mathematics"
} |
784345560338.
2*(x - 626237)**2
What is a in 4*a**2 - 392*a + 6900 = 0?
23, 75
Determine a so that a**2/2 + 5590*a - 11182 = 0.
-11182, 2
Solve -1311*k**2/7 + 3939*k/7 - 18/7 = 0 for k.
2/437, 3
What is i in -6*i**2 - 2550778*i + 850260 = 0?
-425130, 1/3
Solve 4*q**5 - 620*q**4 + 6404*q**3 - 9748*q**2 - 6408*q + 10368 = 0.
-1, 1, 2, 9, 144
Factor 44*z**2 + 13*z/3.
z*(132*z + 13)/3
Let 3*q**3/4 + 11704*q**2 - 7803*q = 0. What is q?
-15606, 0, 2/3
Factor -4*z**3 - 1100*z**2 - 73948*z + 231852.
-4*(z - 3)*(z + 139)**2
Factor -5*j**2 - 52245*j.
-5*j*(j + 10449)
Suppose -12*u**2/7 + 1388*u/7 + 464/7 = 0. What is u?
-1/3, 116
Factor 4*y**3 + 27800*y**2 - 111284*y - 139080.
4*(y - 5)*(y + 1)*(y + 6954)
Find f, given that -2*f**2 - 66704*f - 556177952 = 0.
-16676
Suppose b**3 + 41*b**2 + 79*b + 39 = 0. Calculate b.
-39, -1
Factor -2*x**3 - 6524*x**2 + 26120*x - 26128.
-2*(x - 2)**2*(x + 3266)
Solve -2*y**3/11 + 90*y**2/11 + 224*y/11 - 1248 = 0.
-12, 13, 44
Factor 3*x**5/4 + 681*x**4/4 + 28575*x**3/2 + 526875*x**2 + 7218750*x.
3*x*(x + 50)**3*(x + 77)/4
Factor -4*h**2 + 10908*h - 10904.
-4*(h - 2726)*(h - 1)
Factor 5*n**3/3 - 700*n**2 + 4165*n/3 + 2090.
5*(n - 418)*(n - 3)*(n + 1)/3
Determine q, given that 16*q**4/7 - 25692*q**3/7 + 6416*q**2 = 0.
0, 7/4, 1604
Solve 3*s**3 - 2403*s**2 - 53955*s - 298749 = 0.
-11, 823
Solve 3*k**3 - 29934*k**2 - 59877*k - 29940 = 0 for k.
-1, 9980
Let 3*k**4 - 3840*k**3 + 64602*k**2 - 238464*k - 306909 = 0. Calculate k.
-1, 9, 1263
Factor 4*g**2 - 55492*g - 55496.
4*(g - 13874)*(g + 1)
Let -3*i**4 + 1158*i**3 - 68547*i**2 - 8337600*i - 155520000 = 0. Calculate i.
-32, 225
Find r, given that -r**4/2 + 287*r**3/2 - 8552*r**2 + 50304*r + 4073472 = 0.
-17, 48, 208
Solve -2*y**4/7 - 26*y**3/7 + 954*y**2/7 - 4806*y/7 + 6696/7 = 0 for y.
-31, 3, 12
Find j, given that -3*j**4/2 + 1221*j**3 - 4875*j**2/2 + 1218*j = 0.
0, 1, 812
Solve -5*q**5 - 1305*q**4 - 92190*q**3 - 1931500*q**2 + 2025000*q = 0 for q.
-162, -50, 0, 1
Factor l**3 + 269905*l**2 + 18212042303*l - 18212312209.
(l - 1)*(l + 134953)**2
Factor l**2/4 - 24690*l + 609596100.
(l - 49380)**2/4
Factor -m**4 + 410*m**3 - 42024*m**2 - 410*m + 42025.
-(m - 205)**2*(m - 1)*(m + 1)
Find t such that 5*t**5 - 605*t**4 + 18865*t**3 - 52435*t**2 + 34170*t = 0.
0, 1, 2, 51, 67
Factor k**3/2 - 1292*k**2 - 31165*k/2 + 16874.
(k - 2596)*(k - 1)*(k + 13)/2
Find d, given that -3*d**3 - 4032*d**2 - 20103*d - 24102 = 0.
-1339, -3, -2
Determine x so that -2*x**2/3 + 6100*x/3 + 18354 = 0.
-9, 3059
Let -4*i**5 + 84*i**4 - 252*i**3 - 2612*i**2 + 5664*i - 2880 = 0. What is i?
-5, 1, 12
Factor -5*s**2 + 798390*s - 31871329605.
-5*(s - 79839)**2
Factor 3*c**3 - 217785*c**2 + 217776*c + 435564.
3*(c - 72594)*(c - 2)*(c + 1)
Suppose 54*d**5 - 436*d**4 + 518*d**3 + 936*d**2 - 72*d = 0. Calculate d.
-1, 0, 2/27, 3, 6
Factor 2*v**2/7 + 32530*v/7 - 13944.
2*(v - 3)*(v + 16268)/7
Suppose p**3/4 - 711*p**2/4 - 17940*p + 22240400 = 0. Calculate p.
-329, 520
Factor -293*u**2/2 + 3505*u/4 + 33/2.
-(u - 6)*(586*u + 11)/4
Solve y**4 - 8*y**3 - 1204*y**2 + 7328*y - 9792 = 0.
-34, 2, 4, 36
Determine k so that k**3/3 + 733*k**2/3 - 734*k/3 = 0.
-734, 0, 1
Determine y so that 172*y**3 - 772*y**2 - 184*y + 2080 = 0.
-65/43, 2, 4
Determine t so that 21*t**5 + 1670*t**4 + 3023*t**3 - 466*t**2 = 0.
-233/3, -2, 0, 1/7
Solve -w**3/2 + 117*w**2/2 - 2295*w/2 + 5859/2 = 0 for w.
3, 21, 93
Factor -k**2/7 - 933*k/7 + 72360/7.
-(k - 72)*(k + 1005)/7
Factor d**2 - 15287*d - 91758.
(d - 15293)*(d + 6)
Factor 6*c**4/11 + 66350*c**3/11 + 244580844*c**2/11 + 300562676712*c/11 + 100160385712/11.
2*(c + 3686)**3*(3*c + 1)/11
Determine j so that 4*j**5 + 204*j**4 - 1588*j**3 + 2116*j**2 + 1584*j - 2320 = 0.
-58, -1, 1, 2, 5
Factor 5*h**5 + 85545*h**4 + 487863135*h**3 + 927427819635*h**2.
5*h**2*(h + 5703)**3
Suppose 2*b**5 - 686*b**4/3 + 1934*b**3 + 8582*b**2/3 - 13760*b + 4200 = 0. Calculate b.
-3, 1/3, 2, 10, 105
Factor -116585*g**2/2 - 349753*g/2 + 3.
-(g + 3)*(116585*g - 2)/2
Solve 2*x**2 - 70*x + 68 = 0 for x.
1, 34
Let m**3 - 366*m**2 + 7911*m - 7546 = 0. Calculate m.
1, 22, 343
Find a such that -5*a**5 + 35*a**4 + 225*a**3 - 1955*a**2 + 800*a + 10500 = 0.
-7, -2, 5, 6
Suppose -r**3/7 - 2139*r**2 = 0. What is r?
-14973, 0
Determine u, given that -3*u**4 - 96*u**3 - 753*u**2 - 660*u = 0.
-20, -11, -1, 0
Factor -h**2/3 + 3059*h/3 + 1020.
-(h - 3060)*(h + 1)/3
Factor 4*o**2 - 85040*o + 451987600.
4*(o - 10630)**2
Find n, given that 10*n**4 - 704*n**3 - 7486*n**2 - 15436*n - 6720 = 0.
-7, -2, -3/5, 80
Factor -343*j**5/5 + 19306*j**4/5 - 368424*j**3/5 + 499230*j**2 - 2146689*j/5.
-j*(j - 1)*(7*j - 129)**3/5
Factor -2*n**3 + 186*n**2 - 2782*n - 10074.
-2*(n - 73)*(n - 23)*(n + 3)
Factor -5*p**3 + 3275*p**2 + 398480*p + 395200.
-5*(p - 760)*(p + 1)*(p + 104)
Solve 2*t**5/3 - 8*t**4 + 6*t**3 + 764*t**2/3 - 1080*t + 1200 = 0.
-6, 2, 5, 6
Determine u, given that 100*u**2 - 1780*u + 7192 = 0.
31/5, 58/5
Determine v so that -2*v**4/5 + 78*v**3/5 - 52*v**2/5 - 912*v/5 = 0.
-3, 0, 4, 38
Let -93*r**2 - 1884*r - 480 = 0. Calculate r.
-20, -8/31
Find n such that -300*n**5 - 2860*n**4 + 8924*n**3 - 6612*n**2 - 608*n + 1456 = 0.
-182/15, -2/5, 1
Factor k**4 - 168*k**3 + 8396*k**2 - 137952*k + 243648.
(k - 94)*(k - 36)**2*(k - 2)
Factor 2*b**4 - 30000*b**3 + 112619936*b**2 - 899520000*b + 1798080512.
2*(b - 7496)**2*(b - 4)**2
Factor 14*b**3/5 - 745*b**2 - 7238*b/5 + 536/5.
(b - 268)*(b + 2)*(14*b - 1)/5
Determine y, given that -2*y**2/3 + 412*y + 15696 = 0.
-36, 654
Factor -15*y**3 - 92920*y**2 - 143933075*y - 95914090.
-5*(y + 3097)**2*(3*y + 2)
Find k such that 20*k**2 - 2135*k - 9435 = 0.
-17/4, 111
Factor 2515*i**4 + 493*i**3 - 2*i**2.
i**2*(5*i + 1)*(503*i - 2)
Let -n**4/2 + 69*n**3/2 - 372*n**2 - 7840*n - 19200 = 0. Calculate n.
-8, -3, 40
Solve g**4 - 292*g**3/5 + 5641*g**2/5 - 7378*g + 13872/5 = 0.
2/5, 17, 24
Solve 15*v**4 + 6*v**3 - 549*v**2 - 216*v + 324 = 0.
-6, -1, 3/5, 6
What is b in 3*b**3 + 22497*b**2 + 448677*b - 471177 = 0?
-7479, -21, 1
Factor z**2/4 + 156439*z + 24473160721.
(z + 312878)**2/4
Factor -4*i**4/3 + 64*i**3 - 768*i**2.
-4*i**2*(i - 24)**2/3
Suppose -5*j**2 - 43830*j - 2611800 = 0. Calculate j.
-8706, -60
Factor 4*o**2 - 18580*o + 37144.
4*(o - 4643)*(o - 2)
Factor d**2/5 + 304*d/5 + 3696.
(d + 84)*(d + 220)/5
Let -2*j**4/5 + 264*j**3/5 - 726*j**2/5 - 6352*j/5 + 4128 = 0. Calculate j.
-5, 4, 129
Let j**2/2 + 3053*j + 6104 = 0. What is j?
-6104, -2
Factor 4374*h**2 + 148713*h - 102.
3*(h + 34)*(1458*h - 1)
What is y in y**3/8 - 10*y**2 + 113*y/2 - 74 = 0?
2, 4, 74
Determine a, given that a**3/2 + 3221*a**2 - 19333*a/2 + 6445 = 0.
-6445, 1, 2
Factor -2*f**2 + 6780*f.
-2*f*(f - 3390)
Factor -128*u**4 + 29408*u**3 - 194616*u**2 + 434970*u - 325134.
-2*(u - 223)*(4*u - 9)**3
Solve 3*o**3/4 + 831*o**2/4 + 1404*o - 3645 = 0.
-270, -9, 2
Factor u**4/2 - 67*u**3/2 + 425*u**2.
u**2*(u - 50)*(u - 17)/2
Let -3*w**3/5 - 1042692*w**2/5 - 90600550572*w/5 = 0. Calculate w.
-173782, 0
Determine i so that -4*i**3 + 33492*i**2 + 4*i - 33492 = 0.
-1, 1, 8373
Factor 2*m**3/13 + 5510*m**2/13 + 3952336*m/13 + 214418272/13.
2*(m + 59)*(m + 1348)**2/13
Let -2*o**4/3 + 579*o**3/2 + 13225*o**2/3 + 6141*o/2 - 3143/3 = 0. What is o?
-14, -1, 1/4, 449
Factor 5*l**3 + 329*l**2 + 1396*l - 4148.
(l - 2)*(l + 61)*(5*l + 34)
Determine h, given that 3*h**4/7 + 78*h**3/7 - 1425*h**2/7 + 3684*h/7 - 2340/7 = 0.
-39, 1, 2, 10
Factor -x**2/5 + 6014*x/5 + 84392/5.
-(x - 6028)*(x + 14)/5
Let 100*a**4 - 4276*a**3 - 2632*a**2 + 68416*a + 16512 = 0. What is a?
-4, -6/25, 4, 43
Determine m, given that 5*m**4 + 2320*m**3 + 150535*m**2 - 2320*m - 150540 = 0.
-386, -78, -1, 1
Factor -4*p**2 + 16340*p - 48984.
-4*(p - 4082)*(p - 3)
Factor 4*i**2 - 2379288*i + 353813211684.
4*(i - 297411)**2
Factor -y**3 + 206*y**2 + 4789*y - 4994.
-(y - 227)*(y - 1)*(y + 22)
Determine o so that -2*o**3/7 - 456536*o**2/7 + 913078*o/7 - 65220 = 0.
-228270, 1
Factor 11858*k**5/3 - 7854*k**4 + 23101*k**3/6 + 51*k**2 + k/6.
k*(k - 1)**2*(154*k + 1)**2/6
Let 5*h**2 + 230430*h + 230425 = 0. Calculate h.
-46085, -1
Suppose 406*u**3/3 - 4888*u**2/3 + 4936*u - 192 = 0. Calculate u.
8/203, 6
Factor -t**3/2 + 720*t**2 + 2888*t.
-t*(t - 1444)*(t + 4)/2
Factor 98*y**2/13 + 597128*y/13 + 9 | {
"pile_set_name": "DM Mathematics"
} |
4 = -400. Solve -5*k + p - 2*p - 8 = 0, -4*k - i = -4*p for k.
-2
Let x be (-304 - -304)/(2 - (1 + -1)). Solve 3*l + x = -4*s - 4, 3*s + l = -8 for s.
-4
Let o(d) = -11*d - 8. Let c be o(-1). Suppose 0 = 11*a - c*a - 16. Solve -5*s + m = 23, 2 = -a*s - m - 3 for s.
-4
Suppose 2993 + 6005 = 22*c. Let h = c + -405. Solve h*r = 2*y - 26, -7 = -4*y + 3*r + 20 for y.
3
Suppose -12*y + 183 = 27. Suppose -12*f = -y*f + 3. Solve 0 = -f*d - 3*s + 9, d + 2*d + s = 3 for d.
0
Let j = -1769 + 1177. Let v = -589 - j. Solve -i = 2*r + 12, -5*r + 0 = -v*i + 8 for r.
-4
Let y be (93 - -1)*(-2)/(-60) + (-6)/45. Solve 5*p - 3*v + 6*v = 7, -y*v = -3*p + 9 for p.
2
Let j = 97 + -58. Let s = j - 33. Let b = -13 + 15. Solve -b*a - l + 2 = -5*a, -5*a - s = l for a.
-1
Let y(u) = -u**2 + 21*u + 5. Let r be y(21). Let i be 1*r - (-5 - 1 - -8). Solve 0 = -2*f - i*z - 7, 17 = -2*f - 6*z + z for f.
4
Suppose -3*n - 7 = -25. Let w(d) = -d**2 + 3*d + 16. Let p be w(-3). Let k be 3/(-12)*10*p. Solve 2*v - 6 = -k*h + 4, 3*h = 5*v + n for v.
0
Suppose 4*j = -4*o + 476, 4*o - 119*j = -117*j + 482. Solve -4*v = -2*n + 2, -121*v = -5*n - o*v - 4 for n.
-1
Let f = 232 - -14. Let c = -242 + f. Solve h - k = 0, -c*k = 4*h + 16 + 16 for h.
-4
Suppose -23 = -4*y - 3*h, 0 = y - 5*h - 24 + 47. Solve -3*f = -7*z + y*z + 28, 36 = 3*f + 3*z for f.
4
Suppose 2*b = 375 - 369. Solve 5*v = 4*d - 48 + b, 5*v = 5*d - 50 for v.
-5
Let p = 5879 - 5874. Let x = 9 - 4. Solve 4*n - 22 + 4 = p*z, x*z = -5*n for z.
-2
Let p be (-5971)/(-9 + 2) + 5. Let i = p + -853. Solve 0 = 5*a + 3*m - 12, -i*a + m + 16 = -0*m for a.
3
Suppose -30*k = -25*k - 10, -3*k = -2*c + 8. Solve 3 = -2*z - 3*o, -2*z + c - 2 = -5*o for z.
0
Suppose m + 5*g = 30, 462*g - 465*g + 30 = 3*m. Solve -5*f - 2*i = 3*i + 45, -37 = m*f + 3*i for f.
-5
Let q = 3 - 0. Suppose 2*z + 3*p = 16, 15 = -z + 6*z - 5*p. Suppose 2*i + 17 = z*n, -3*n = -0*i - i - 11. Solve -4*x - x = q*v, -i*x + v = 17 for x.
-3
Suppose 5*f = i + 5, 20*i = 15*i + f - 1. Solve -5*z - 4*j = i, -5*z = -12*j + 11*j for z.
0
Let w be 7 + 1 + -1 + -3. Suppose -w*u + 202 = 186. Solve -5*k + 10 = -2*i, -u*i + 6 = -k + 4*k for i.
0
Let y = 6164 + -6161. Solve s - y = 0, -3*n + n - s = -7 for n.
2
Let a = 4004 - 3991. Solve -m - 3 = -11*p + a*p, 5*p = -4*m - 6 for p.
-2
Let l = 15828 + -15793. Solve -l*d + 36*d - k = 2, 4*k = 3*d - 5 for d.
3
Suppose 3*r - 3 = 3*t, 0 = 2*t + 5 - 3. Solve 2*n + 2*y - 22 = -18, 3*n - y + 14 = r for n.
-3
Suppose 40*n - 39*n - 160 = 0. Let r be (n/(-360))/(2/(-9)). Solve -3*w + z = 11, w = r*w - 3*z + 17 for w.
-2
Let z = -1819 - -1918. Solve f + 3*p + 1 = 0, 0 = 4*f + p - 95 + z for f.
-1
Suppose 2260 - 2320 = -15*m. Solve -12 = 8*l + 3*j - 38, m*j + 8 = 0 for l.
4
Let x = -10 - -13. Let d = 229 - 211. Solve 3*l = -x*v + d, -4*l = 3*v - 16 - 6 for l.
4
Suppose -5*b - 30 = -n + 6*n, 3*b = 5*n + 14. Let o(v) = v**3 + 5*v**2 + 5*v + 3. Let l be o(b). Solve h = 3*f + l, h - f + 2 = 1 for h.
-4
Let s be -1*(1 - 0) - -6*1. Suppose 0 = g + v - 1, 4*g = 8*g + 5*v - s. Solve -4*m + m + 5*o + 12 = g, 0 = 4*o for m.
4
Let n(v) = -238*v - 1897. Let t be n(-8). Solve -4*r + l = -2*l - t, 20 = -4*l for r.
-2
Let g(x) = 52*x - 2 - 52 - 17*x - 13. Let w be g(2). Solve n - 3*k - 9 = 0, -w*n + 4 = -k + 9 for n.
-3
Suppose -106*i + 85*i = -84. Solve -m + 17 = 3*b, -6*m = -11*m + i*b + 9 for m.
5
Let o be -2*1/(-2) + 95. Suppose 0*q = 3*q + 2*v - o, -129 = -4*q - 3*v. Let a be 18/q - 21/(-15). Solve -17 = -i + 6*i + f, a*f = -2*i - 10 for i.
-3
Let y = 25874 + -25869. Solve -4*r = 2*v - 102 + 100, 2 = -y*r - 4*v for r.
2
Let f = 160 + -188. Let s(p) = -2*p - 56. Let z be s(f). Solve -4*d + 4*q - 4 = z, 4*d - 4*q = d - 1 for d.
-3
Let k be (-5 + 2)/(9/(-21)). Let c(h) = 11*h**2 - 3 - 18*h**2 + 0 - k*h + 6*h**2. Let g be c(-6). Solve -2*w - d = 0, -5*d + 2 = g*w - 3*d for w.
-2
Suppose -67582 = -11*v - 67560. Solve u = 5*y - 22 + 2, -2*y = -v*u - 16 for y.
3
Let x = 3140 + -3137. Solve 0 = -4*g + 2*t - 16, 5*g + x*t - 20 = -29 for g.
-3
Let s(f) = f**2 - 10*f - 2. Let a be s(10). Let n = 47 + -50. Let t be (3 + a)*(n + 6). Solve -x - 3*x + j = -3, -t*x - 9 = -3*j for x.
2
Suppose 12*c + 27*c - 85 = 22*c. Solve -c*x + 11 = 2*p, -4*p - 57 + 52 = x for x.
3
Suppose -653*l + 324 = -647*l. Suppose -7*j + 82 = l. Solve -5*t = -4*x + 4, j*x + t = 4 - 0 for x.
1
Suppose b - 32 + 12 = -4*j, 5*b - 36 = -4*j. Let d = 7 - 3. Let y(s) = 26598*s - 53196. Let f be y(2). Solve 5*h + 5*m + 10 = 0, d*h = -f*m + b*m + 8 for h.
0
Let u be (-1)/((-2)/(-14)) + -2 + 100/2. Solve -u*j + 5*x + 13 = -42*j, 4*j - 5*x + 2 = 0 for j.
-3
Let h(k) = -2*k - 2. Let x be h(-6). Let i = x - 7. Let c be (-3)/(198/(-24))*11. Solve -c*f = -0*f + 4*n - 4, 9 = -i*f + 3*n for f.
-1
Let i be (4 - -5)*(5 + -4). Suppose 4*b = -5*t + 12, 4*b - i - 3 = -2*t. Solve -b*z + w = 1 - 0, 10 = -5*w for z.
-1
Let r = 24 + -14. Suppose -96*z + 8 = -94*z. Suppose 0 = -3*p - 12, -3*p = -z*b + 7 + 45. Solve m + r = -2*d + 2*m, -5*d - b = 5*m for d.
-4
Let y(d) = 11*d + 0*d**3 + 8*d**2 + 1 - 3 + d**3 - 2. Let h be y(-6). Suppose -3*r = h - 62. Solve 4*x + r = v, -x - 4 = x + v for x.
-4
Suppose -9*s + 94 + 887 = 0. Let h = -106 + s. Solve 0 = h*y - 5*b - 0*b + 5, -4*y + 3*b = 3 for y.
0
Let z be 84/(-48)*(-2)/(-7)*-8. Suppose y + 2*s - 11 = 0, z*y - 7*y + 18 = s. Let o be (-16)/12*(-10 + 1). Solve 3*i = -y*r - 8, 0 = 4*r + i - 0*i + o for r.
-4
Suppose -4*p + 385 = 3*p. Let v = p - 50. Suppose -4*o + 15 = 2*k - 3, -5*o + 25 = v*k. Solve 2*m - 8 = -3*n, -k = m + n - 3 for m.
-2
Suppose -2*p = 2*p - p. Suppose p = -5*v - 2 - 8. Let r be (((-15)/2)/5)/(1/v). Solve -3*n + 2 = r*h - 10, 3*h + 8 = 2*n for n.
4
Suppose 0 = 2*d - q - 37, 22 = d - 13*q + 9*q. Solve -o - 16 = -3*t, -23*t + 24 = o - d*t for o.
-1
Suppose 2*w = 3*j - 16, -4*w + 8*j = 3*j + 30. Let v be (15/w)/((-6)/4) - 0. Let f = -28 + 32. Solve -x + 0*x - 4 = 0, x = -v*u - f for u.
0
Let z be (-1455)/(-15) - 4/1. Let n = 103 - z. Solve 3*p = 4*d - 16, 0 = -d - 3*p - n - 1 for d.
1
Let h be 570/12*(-12)/(-15). Suppose -24*g - 56 = -h*g. Solve g*m + 3*c = 0, 3*c = -0*m + 2*m for m.
0
Suppose 0 = 249*f - 250*f + 3. Solve -9*z - 1 = -f*c - 7*z, 0 = -5*c - 4*z + 31 for c.
3
Suppose -19 - 1 = 2*k. Let r be (-2 - (3 + 2))*(-1 - k). Let u = -63 - r. Solve 0 = 5*x + 5*d - 20, u = -x + 6*x - 3*d - 20 for x.
4
Suppose p + 7 = o, 4*p = -56*o + 57*o - 19. Suppose o*c - 4 = -c. Solve -5*a = -v - 29, -c = -5*v - 3*a - 6 for v.
-4
Let x = 144 - 139. Suppose -2*v + 5 = -u, -4*v = v + x*u - 35. Solve z + 3*i = -4, 28 = 3*z - 3*i + v for z.
5
Let q be 20/(-20 - -10 - -14). Solve 16 = 3*d - o, 0*d = -d + q*o + 24 for d.
4
Let x be 1*24/(-9)*(-3)/2. Solve -x*b + 5*c = 49 - 18, -4*b - 22 = -2*c for b.
-4
Let r = -33 - -45. Suppose 106*g = 109*g - r. Solve 8 = a + 2*a - q, 4*a + g*q + 16 = 0 for a.
1
Let p(h) = -h**2 + 9*h + 20. Let v be p(8). Let z = 107 - v. Let b = 81 - z. Solve g = -b*y + 5, 0 = -2*g - 7*y + 2*y + 14 for g.
-3
Suppose 0 = -13*w + 11*w - 5*v - 24, 0 = -5*w - 5*v - 15. Let f = -4 - -4. Suppose f*c = c. Solve 4*o = c, -3*y + w*o = -1 + 7 for y.
-2
Suppose -5*w - b + 72 = -32, 2*w + 2*b = 40. Solve -w = -4*s - g, -12 = 2*s - 9*g + 5*g for s.
4
Suppose 0 = 5*l - 35 + 35. Suppose 3*u + 12*r = 11*r + 1, l = -2*u - r - 1. Suppose 5 = 3*g - 4. Solve 4*y - g*f = 8, y - u*f = 1 + 1 for y.
2
Let m be 6/21 + 684/(-42). Let s be (20/m)/((63/56)/(-9)). Solve -5*d - s = 4*x, 2*x = 7*x - 5*d - 10 for x.
0
Let t(g) = -15*g - 4 + 9*g + 7*g. Let w be t(9). Solve -w*y + k = -2*k - 5, -3*k - 11 = -2*y for y.
-2
Suppose -164 = 269*q - 310*q. Solve -41 = 7*a - 12*a + q*j, -2*a = 4*j + 6 for a.
5
Let f = -147 - -152. Suppose f*u = -5*u + 30. Solve 4*k + 3 = 5*m + 2*k, 0 = -u*m + 4*k - 1 for m.
1
Suppose 3*m - 5*a + 8 = 0, -a + 94 - 86 = m. Solve -3*i + 3*c = -3, 53*c = 4*i + 52*c - m for i.
1
Suppose -14 = -4*t + 4*j + 14, 5*t - 3*j - 29 = 0. Suppose d = -0*v + v - 4, 16 = t*v - 3*d. Solve -w + 4*s - v - 6 = 0, -8 = 2*w - 4*s for w.
2
Let u(d) = -d**2 + 21*d + 1376. Let r be u(-28). Solve 0 = 3*v - r*h + 16, -h - 4 = -5*h for v.
-4
Suppose -2*h = 2*y + 14 - 36, -h = -y - 27. Solve 3*n - h*q = -21*q + 25, -5 = -q for n.
5
Let f(x) = -x**2 + 30*x + 306. Let z be f(-8). Solve -47*y + 45*y + | {
"pile_set_name": "DM Mathematics"
} |
d*m**2 + 3*d*m + 452229*m**2 - 3*m wrt d?
-453679*m**2 + 3*m
Find the first derivative of -a**3 - 137159*a - 44614 wrt a.
-3*a**2 - 137159
Differentiate 652*g**2*k**3 + 68*g**2 + 509*g*k**4 - 68*g - 2 wrt k.
1956*g**2*k**2 + 2036*g*k**3
Find the third derivative of 621*w**2*x**3 - 3*w**2 + 6*w*x**2 - w*x + 2*w - 483*x**3 - 2956*x**2 wrt x.
3726*w**2 - 2898
What is the third derivative of -6007292*b**3*f + 7810*b**2*f - 2*b*f - 12*b - 2*f - 1 wrt b?
-36043752*f
What is the derivative of -114565*j**2 + 6708 wrt j?
-229130*j
Find the third derivative of -138*t*w**3 + 487*t*w**2 - 3*t*w - 119*w**3 - 3*w**2 wrt w.
-828*t - 714
Find the second derivative of -r*y**3 + 2959*r*y**2 + 2*r*y + r - 2*y**3 - 1137*y wrt y.
-6*r*y + 5918*r - 12*y
Find the third derivative of 2*i**4*s + 124*i**3*s - 28*i**3 - 2*i**2*s - 57592*i*s - s wrt i.
48*i*s + 744*s - 168
Differentiate -46*g*v**3 - 68*g*v*z + 2*g + 17617*v**3*z wrt g.
-46*v**3 - 68*v*z + 2
Find the third derivative of -a**3*f*y + 215*a**3*y**3 + 2*a**2*f*y**2 - a**2*f + 13*a*y**2 - 175*f*y**3 - 2*f*y + y**2 wrt y.
1290*a**3 - 1050*f
What is the third derivative of -18349*u**3 - 470*u**2 + 12*u wrt u?
-110094
Differentiate -52*j**3 - 3745*j - 1604211.
-156*j**2 - 3745
What is the first derivative of 145*s**3*y**3 + 4*s**3 + 1241*s**2*y**4 - 292655*s**2 wrt y?
435*s**3*y**2 + 4964*s**2*y**3
Differentiate -9870*h**3*q + 25*h**3 - 591588*q - 1 with respect to h.
-29610*h**2*q + 75*h**2
What is the derivative of 33*t**3 - 530*t**2 - 55763 wrt t?
99*t**2 - 1060*t
What is the second derivative of 37555*c**3*s**2 - 3*c**3 - c*s**2 - 25716*s wrt c?
225330*c*s**2 - 18*c
What is the first derivative of -3971254*j - 4349062?
-3971254
Find the second derivative of 523368*d**2*i**2 + 329068*d**2*i wrt i.
1046736*d**2
What is the first derivative of 9*j**3 + 3403*j + 62179 wrt j?
27*j**2 + 3403
Find the third derivative of -7*m**3*q**2 - 63532*m**3 - 2*m**2*q**2 + 1792022*m*q**2 wrt m.
-42*q**2 - 381192
What is the derivative of -3*p**2*t + 731*p*t*y - 4*p*t + p*y + 5*p + 75466*t*y - 2*t wrt p?
-6*p*t + 731*t*y - 4*t + y + 5
Find the second derivative of -2*l**3*u**2 - 59376*l**2*u**3 - l*u**3 - 20295*l wrt l.
-12*l*u**2 - 118752*u**3
What is the second derivative of -243*j**2 - 34497*j wrt j?
-486
Find the third derivative of -16296*m*p**3 + 15*m*p**2*t + 2*m*t + 3*p**3*t + 93*p**2 + p wrt p.
-97776*m + 18*t
What is the second derivative of -244946*s**2 + 362654*s - 5 wrt s?
-489892
What is the second derivative of -z**5 - 10*z**4 + 191*z**3 - 2*z - 4088?
-20*z**3 - 120*z**2 + 1146*z
What is the third derivative of 9493*b**3*z**5 - 87*b**3*z**2 + 17*b**3*z + 3*b**3 + 2*b**2*z**2 + 2*b*z**6 - 3 wrt z?
569580*b**3*z**2 + 240*b*z**3
What is the first derivative of -2*a**2*v - 11*a**2 + 14*a*v + 1939*v wrt a?
-4*a*v - 22*a + 14*v
What is the derivative of 3007875*c**2 - 560294 wrt c?
6015750*c
What is the third derivative of 23*f**4*g**3*h - 4*f**4*h + 3*f**4 - 8*f**2*g**2 + 29*f*g**3 - 2*f*g**2*h - 26*f wrt f?
552*f*g**3*h - 96*f*h + 72*f
Find the second derivative of -2*d**3*r - 3*d**3 - d**2*r - 1201*d**2 + 6561*d*r wrt d.
-12*d*r - 18*d - 2*r - 2402
Differentiate -f*r**2*y + 3*f*y - 10934*f - 5*r**2*y + 14*r**2 + 956*y wrt y.
-f*r**2 + 3*f - 5*r**2 + 956
What is the third derivative of 59662*f*w**3 + 5*f*w**2 + 714*f - w**2 - 53*w wrt w?
357972*f
What is the third derivative of 82*k**6*v + 44*k**4 - 41*k**2*v + 35*v wrt k?
9840*k**3*v + 1056*k
What is the second derivative of 93741*w**3 + 148686*w?
562446*w
What is the second derivative of 1355*j**5 + 40*j**4 - 2069*j + 133?
27100*j**3 + 480*j**2
What is the first derivative of -19360*u*x**3 + 231564*u - x**3 + 2*x wrt x?
-58080*u*x**2 - 3*x**2 + 2
What is the second derivative of 146072*z**2 - 129562*z wrt z?
292144
Find the third derivative of 15200*h**5 - 5*h**3 + 605545*h**2.
912000*h**2 - 30
Find the second derivative of -325660*m**3 + 1489906*m.
-1953960*m
Find the second derivative of 4528*w**5 - 18*w**3 + w - 80786 wrt w.
90560*w**3 - 108*w
Find the third derivative of -1536372*f**4 + 904*f**2 + 2*f + 62 wrt f.
-36872928*f
Find the third derivative of -1052*b**5 - b**4 + 202*b**3 + 7*b**2 - 28517 wrt b.
-63120*b**2 - 24*b + 1212
What is the second derivative of -2*p*s**2*v**2 + 11*p*s*v**2 - 74*p*v**2 - 364*s**2*v**2 + 4*s**2*v - 5*s*v**2 wrt s?
-4*p*v**2 - 728*v**2 + 8*v
What is the first derivative of 2*l*v + 95*l + 9454*v - 79 wrt v?
2*l + 9454
What is the first derivative of 485996*a**2*l**2 - a**2 - 19340 wrt l?
971992*a**2*l
Differentiate 8082*a*i**3 - 2*a*i**2 - i**3 + 22305*i with respect to a.
8082*i**3 - 2*i**2
Find the third derivative of -51474*h**5 - 144*h**2 + 24*h - 1.
-3088440*h**2
Find the second derivative of 130*p**3*q**2*w - 3*p**3*q - 6*p**3*w - 122*p**2*q**2*w - 736*w wrt q.
260*p**3*w - 244*p**2*w
What is the derivative of -29671*q**2 - 8100?
-59342*q
Differentiate 46640*r + 63449 with respect to r.
46640
Find the second derivative of -7*o**5 + 12078*o**4 - o**2 - 433735*o wrt o.
-140*o**3 + 144936*o**2 - 2
What is the third derivative of -43529*j**3 + 2*j**2 - 21*j + 10 wrt j?
-261174
Find the third derivative of -33*h**5 - 31*h**4 - 4*h**3 - 10*h**2 + 1898 wrt h.
-1980*h**2 - 744*h - 24
Find the first derivative of -16633*g*l + 626*g + 44 wrt l.
-16633*g
Find the third derivative of -12090*y**4 + 9*y**3 - 331881*y**2 wrt y.
-290160*y + 54
What is the third derivative of -342364*m**3*r + 23*m**2*r - 648*m*r wrt m?
-2054184*r
Find the second derivative of 15*o**3*p + 7*o**3 + 39*o**2*p - 4*o**2 - o*p - 60343*p wrt o.
90*o*p + 42*o + 78*p - 8
Find the third derivative of -2*b**3*d*l - 8076*b**3 + 2*b**2*d*l + 21*b**2*l - 3*b**2 + b*d*l + 62*l wrt b.
-12*d*l - 48456
Find the third derivative of 2*a**2*v**3 + 2*a**2 + 27*a*v + 3027*v**3 + 76*v**2 wrt v.
12*a**2 + 18162
Differentiate -2442*g**3 - 2*g**2 - 20*g - 90083 wrt g.
-7326*g**2 - 4*g - 20
Find the third derivative of -5647454*s**5 + 120552*s**2 + 9*s - 2.
-338847240*s**2
Differentiate -98643*g - 35369 with respect to g.
-98643
Find the third derivative of -30*g**3*o**3 - 791824*g**3*o**2 + 20620*g**2*o**3 + 2*g*o**2 - o**3 wrt o.
-180*g**3 + 123720*g**2 - 6
What is the second derivative of 3119985*v**3 + 193831*v + 6 wrt v?
18719910*v
Differentiate 987*m**3 - 3*m*o**2*z + 8*m*o**2 - o**2*z + 256160*o wrt m.
2961*m**2 - 3*o**2*z + 8*o**2
What is the second derivative of 4*q**2*r**2 - 2*q**2 - 25892*q*r**2 - 36*q*r + 16*r - 5 wrt r?
8*q**2 - 51784*q
Find the third derivative of -102918*x**4 + 6*x**3 + 3*x**2 - 415496*x + 2 wrt x.
-2470032*x + 36
Differentiate -82*n**2 - 42*n - 158085 with respect to n.
-164*n - 42
Find the first derivative of 209919*l*x - 5*x + 35619 wrt l.
209919*x
Differentiate 349410*s + 341604 with respect to s.
349410
What is the first derivative of -17*a**3*g**2 - 132572*a**3 - 1076*g**4 wrt g?
-34*a**3*g - 4304*g**3
Find the third derivative of -2*g**5 + 39123*g**4 - 1804*g**2 - 10*g.
-120*g**2 + 938952*g
What is the second derivative of -4*i**4 + 5*i**3 + 60*i**2 - 177825*i wrt i?
-48*i**2 + 30*i + 120
What is the second derivative of -14*n**4 - 7493*n**2 + 488378*n + 2 wrt n?
-168*n**2 - 14986
What is the first derivative of -15048*v*x + 41*v - x - 1106 wrt x?
-15048*v - 1
What is the second derivative of 3*r**4*v + 45080*r**3*v + 72*r*v - 61*v wrt r?
36*r**2*v + 270480*r*v
Find the second derivative of -897180*n**2*o**3 - n*o**3 - 16*n*o**2 - 2*n + 962*o**3 wrt n.
-1794360*o**3
Find the third derivative of -2*q**6 + 32263*q**4 + 17*q**2 - 15.
-240*q**3 + 774312*q
What is the derivative of m**2*t**2 + 11339*m**2 - 39521*t**2 wrt m?
2*m*t**2 + 22678*m
What is the second derivative of -5*o*r**2 + 6*o*r*s**3 - 292*o*s**3 - 18813*r**2*s**3 + 11*r*s**2 wrt r?
-10*o - 37626*s**3
Find the third derivative of 63470*x**3*y - 85*x**2*y + 226*x*y wrt x.
380820*y
Find the first derivative of -784819*i - 854286 wrt i.
-784819
What is the second derivative of -262*n**3*o*u**2 + 69*n**3*u**2 + 9*n**3*u + 2*n**3 + 2*n*o*u + 156*o + 2*u wrt u?
-524*n**3*o + 138*n**3
Differentiate 3*i**2*t + 4*i**2 + 766*i*t + 75*i - 3*t - 2 with respect to t.
3*i**2 + 766*i - 3
What is the second derivative of -1299*o**2*q**2*s**2 - 371*o**2 + 334*o*q*s + 337*q**3*s**2 + 2*q**3 wrt s?
-2 | {
"pile_set_name": "DM Mathematics"
} |
8?
2, 11, 37
What are the prime factors of 400?
2, 5
List the prime factors of 26736.
2, 3, 557
List the prime factors of 764.
2, 191
What are the prime factors of 4534?
2, 2267
List the prime factors of 1976.
2, 13, 19
List the prime factors of 66789.
3, 41, 181
What are the prime factors of 13552?
2, 7, 11
What are the prime factors of 1021?
1021
List the prime factors of 379.
379
List the prime factors of 24990.
2, 3, 5, 7, 17
List the prime factors of 1057.
7, 151
List the prime factors of 481.
13, 37
What are the prime factors of 11597?
11597
List the prime factors of 4114.
2, 11, 17
List the prime factors of 1339.
13, 103
What are the prime factors of 15364?
2, 23, 167
What are the prime factors of 951?
3, 317
List the prime factors of 2784.
2, 3, 29
What are the prime factors of 1555?
5, 311
What are the prime factors of 4356?
2, 3, 11
List the prime factors of 3336.
2, 3, 139
What are the prime factors of 941?
941
List the prime factors of 21243.
3, 73, 97
List the prime factors of 3099.
3, 1033
List the prime factors of 45699.
3, 15233
What are the prime factors of 10511?
23, 457
List the prime factors of 1060.
2, 5, 53
List the prime factors of 5737.
5737
What are the prime factors of 5469?
3, 1823
What are the prime factors of 124?
2, 31
What are the prime factors of 6304?
2, 197
List the prime factors of 16624.
2, 1039
What are the prime factors of 5885?
5, 11, 107
What are the prime factors of 2518?
2, 1259
What are the prime factors of 44177?
7, 6311
What are the prime factors of 67?
67
List the prime factors of 40606.
2, 79, 257
List the prime factors of 2555.
5, 7, 73
What are the prime factors of 1362?
2, 3, 227
What are the prime factors of 496?
2, 31
What are the prime factors of 25383?
3, 8461
What are the prime factors of 942?
2, 3, 157
List the prime factors of 3245.
5, 11, 59
What are the prime factors of 9871?
9871
What are the prime factors of 78980?
2, 5, 11, 359
What are the prime factors of 16893?
3, 1877
What are the prime factors of 10209?
3, 41, 83
What are the prime factors of 1082?
2, 541
What are the prime factors of 19547?
11, 1777
List the prime factors of 4124.
2, 1031
List the prime factors of 4119.
3, 1373
List the prime factors of 31686.
2, 3, 5281
What are the prime factors of 10842?
2, 3, 13, 139
What are the prime factors of 7098?
2, 3, 7, 13
What are the prime factors of 105947?
53, 1999
What are the prime factors of 64586?
2, 43, 751
What are the prime factors of 17585?
5, 3517
List the prime factors of 34170.
2, 3, 5, 17, 67
What are the prime factors of 177?
3, 59
List the prime factors of 31411.
101, 311
What are the prime factors of 85315?
5, 113, 151
List the prime factors of 9230.
2, 5, 13, 71
What are the prime factors of 35928?
2, 3, 499
List the prime factors of 9812.
2, 11, 223
List the prime factors of 4447.
4447
List the prime factors of 13325.
5, 13, 41
List the prime factors of 14897.
14897
What are the prime factors of 30759?
3, 10253
List the prime factors of 2100.
2, 3, 5, 7
List the prime factors of 779.
19, 41
What are the prime factors of 555?
3, 5, 37
List the prime factors of 81443.
23, 3541
List the prime factors of 31515.
3, 5, 11, 191
List the prime factors of 44823.
3, 67, 223
List the prime factors of 679.
7, 97
What are the prime factors of 4457?
4457
List the prime factors of 9261.
3, 7
List the prime factors of 6.
2, 3
What are the prime factors of 19071?
3, 13, 163
List the prime factors of 15367.
11, 127
What are the prime factors of 1549?
1549
List the prime factors of 2398.
2, 11, 109
What are the prime factors of 1314?
2, 3, 73
List the prime factors of 806.
2, 13, 31
What are the prime factors of 1771?
7, 11, 23
What are the prime factors of 54912?
2, 3, 11, 13
List the prime factors of 2453.
11, 223
What are the prime factors of 53143?
19, 2797
List the prime factors of 1787.
1787
List the prime factors of 1406.
2, 19, 37
List the prime factors of 208.
2, 13
What are the prime factors of 649?
11, 59
List the prime factors of 4894.
2, 2447
What are the prime factors of 80606?
2, 41, 983
List the prime factors of 5992.
2, 7, 107
List the prime factors of 833.
7, 17
What are the prime factors of 3456?
2, 3
What are the prime factors of 67451?
37, 1823
What are the prime factors of 28831?
11, 2621
List the prime factors of 2190.
2, 3, 5, 73
List the prime factors of 32113.
17, 1889
List the prime factors of 107090.
2, 5, 10709
What are the prime factors of 10218?
2, 3, 13, 131
List the prime factors of 4767.
3, 7, 227
List the prime factors of 1171.
1171
List the prime factors of 4357.
4357
List the prime factors of 13328.
2, 7, 17
List the prime factors of 476.
2, 7, 17
What are the prime factors of 40937?
13, 47, 67
List the prime factors of 33595.
5, 6719
What are the prime factors of 9120?
2, 3, 5, 19
List the prime factors of 10864.
2, 7, 97
List the prime factors of 4656.
2, 3, 97
List the prime factors of 150024.
2, 3, 7, 19, 47
What are the prime factors of 54980?
2, 5, 2749
What are the prime factors of 1091?
1091
List the prime factors of 52550.
2, 5, 1051
List the prime factors of 2349.
3, 29
What are the prime factors of 61?
61
What are the prime factors of 17155?
5, 47, 73
List the prime factors of 3494.
2, 1747
List the prime factors of 812.
2, 7, 29
What are the prime factors of 624?
2, 3, 13
What are the prime factors of 1149?
3, 383
List the prime factors of 274.
2, 137
What are the prime factors of 5817?
3, 7, 277
List the prime factors of 15183.
3, 7, 241
List the prime factors of 11312.
2, 7, 101
What are the prime factors of 2257?
37, 61
List the prime factors of 740.
2, 5, 37
List the prime factors of 3015.
3, 5, 67
List the prime factors of 10914.
2, 3, 17, 107
List the prime factors of 126.
2, 3, 7
What are the prime factors of 19076?
2, 19, 251
List the prime factors of 4606.
2, 7, 47
List the prime factors of 3240.
2, 3, 5
What are the prime factors of 2011?
2011
List the prime factors of 275.
5, 11
List the prime factors of 75667.
17, 4451
List the prime factors of 16664.
2, 2083
List the prime factors of 2259.
3, 251
What are the prime factors of 20292?
2, 3, 19, 89
What are the prime factors of 6071?
13, 467
List the prime factors of 13178.
2, 11, 599
List the prime factors of 248.
2, 31
List the prime factors of 53319.
3, 7, 2539
What are the prime factors of 1235?
5, 13, 19
List the prime factors of 13521.
3, 4507
List the prime factors of 359.
359
What are the prime factors of 6?
2, 3
What are the prime factors of 619?
619
What are the prime factors of 19263?
3, 6421
What are the prime factors of 106647?
3, 19, 1871
List the prime factors of 31840.
2, 5, 199
What are the prime factors of 4776?
2, 3, 199
List the prime factors of 16215.
3, 5, 23, 47
List the prime factors of 6576.
2, 3, 137
What are the prime factors of 17477?
17477
What are the prime factors of 15663?
3, 23, 227
What are the prime factors of 7402?
2, 3701
List the prime factors of 2688.
2, 3, 7
List the prime factors of 5488.
2, 7
List the prime factors of 3404.
2, 23, 37
List the prime factors of 7379.
47, 157
What are the prime factors of 93933?
3, 7, 71
What are the prime factors of 5108?
2, 1277
List the prime factors of 1354.
2, 677
List the prime factors of 55865.
5, 11173
List the prime factors of 1979.
1979
List the prime factors of 5511.
3, 11, 167
What are the prime factors of 23373?
3, 7, 53
What are the prime factors of 338?
2, 13
What are the prime factors of 6153?
3, 7, 293
What are the prime factors of 8939?
7, 1277
List the prime factors of 29117.
11, 2647
What are the prime factors of 1907?
1907
What are the prime factors of 45254?
2, 11, 17
List the prime factors of 68166.
2, 3, 7, 541
What are the prime factors of 4523?
4523
List the prime factors of 2074.
2, 17, 61
What are the prime factors of 4754?
2, 2377
List the prime factors of 64019.
64019
List the prime factors of 5166.
2, 3, 7, 41
List the prime factors of 4165.
5, 7, 17
What are the prime factors of 184894?
2, 193, 479
What are the prime factors of 1270?
2, 5, 127
List the prime factors of 13465.
5, 2693
What are the prime factors of 66270?
2, 3, 5, 47
What are the prime factors of 18204?
2, 3, 37, 41
What are the prime factors of 353?
353
What are the prime factors of 1152?
2, 3
What | {
"pile_set_name": "DM Mathematics"
} |
- -11 - (2 - (0 + 5))
-19
Calculate -71 + 96 - (0 + (-1 - 2) + 3).
25
What is the value of 23 + -5 - 6 - (15 + -17)?
14
What is -35 + (30 - 31) - -60?
24
Evaluate 1 + -1 + -7 - (-7 + (-15 - 5)).
20
Evaluate (3 - (-12 - -16)) + 8.
7
Calculate (1170 - 1163) + (-1 + 9 - -1).
16
What is the value of 9 - 1 - (-3 + 20 + -18)?
9
What is the value of -3 - (-25 - (-42 - -38))?
18
What is 2 + 5 + 4 + -23?
-12
Evaluate 3 + 21 + (-17 - -2).
9
What is 3 - (14 - (0 + -5 + 0 + 3))?
-13
What is (2 - 8) + (29 - -8)?
31
Calculate (-8 - -6) + (1 + 2 + -2 - 6).
-7
2 + 4 + 1 - (2 + 0)
5
Evaluate -11 - (1 + -19) - (1 - -4).
2
8 + (9 - (24 + -1)) - -1
-5
Calculate (-10 - -28) + -7 + 3 + -4.
10
What is (-94 - -60) + 73 + (-16 - -1)?
24
Calculate (-6 - -1) + (0 - (13 + -13)).
-5
Calculate -14 - (6 - 10) - -26 - -19.
35
What is 3 - (-1 + -8 + 104 + -96 + 5)?
-1
-1445 - -1425 - (1 + 1 - 0)
-22
Evaluate 1 + -20 + 0 - -6.
-13
What is -2 + -13 + (-14 - (22 - 41))?
-10
Calculate 20 - ((72 - 21) + -16) - (5 + 1).
-21
Calculate -13 - (9 - (2 + 7)).
-13
Evaluate (9 - (4 - 8 - -7)) + -11 - 2.
-7
Calculate (2 - (-4 + -2)) + (8 - 11).
5
What is the value of -49 - (-3 + -29) - (1 - -4)?
-22
Calculate (25 - 20) + 22 + -3.
24
What is (10 - (4 + -5) - 23) + 6?
-6
Evaluate -3 + -1 + 1 + (-1 - -34 - 25).
5
Evaluate (25 - 32 - -47) + -1 + -1.
38
What is the value of -37 - 0 - (-576 + 513)?
26
What is the value of (0 - (11 - 20)) + 7 - 16?
0
7 + (-12 - -12) + (0 - 19 - -1)
-11
(3 - -12) + -4 + (11 - 10)
12
What is (14 - 18) + 4 + 8 - 1?
7
Calculate -3 + -14 + -31 + 44.
-4
Calculate 3 - (-8 - -13 - 0) - (-6 + 11).
-7
Calculate (-6 - -23) + 13 - 28.
2
What is the value of -5 + 4 + 2 - (-29 + 30) - 6?
-6
What is the value of 12 - 2 - (47 + (28 - 54))?
-11
Evaluate 1584 + -1560 - (21 + -1 + 0).
4
Evaluate -10 - (7 + (-47 - -7)).
23
-22 + (15 - (10 + -5))
-12
What is the value of 5 - (-6 - 17 - (-17 + -1))?
10
What is (-8 + 3 + 1 - -6) + 1 + -5?
-2
What is the value of -2 - 16 - (33 + -63 + 27)?
-15
Calculate 0 + 8 + (1 - 6) + -13.
-10
-22 + (25 - 31) + 12
-16
4 - -29 - 70 - -35
-2
What is 0 + -2 + (12 - 10) + -8?
-8
What is the value of 28 - (17 - 7) - 29?
-11
What is the value of 19 + -14 + (14 - 12) - 11?
-4
(2 - 1 - (0 - -4)) + 20 + -17
0
24 + -28 + 7 + -12 + -5
-14
What is 2 - -5 - ((-5 - -2) + -2 + 9)?
3
-55 + 58 + (7 - 1)
9
Calculate 1 + -7 + 9 + (-2 - -14 - 23).
-8
Evaluate -4 - (7 - (6 - (-7 + 3 - -5))).
-6
Calculate -26 + 9 - 7 - -16.
-8
What is the value of (11 - 22) + -12 + 14?
-9
1 + 4 + -21 + -33 + 26 - 0
-23
Evaluate 9 + -3 + -172 + 148.
-18
What is 31 - 32 - (2 - 2) - 12?
-13
Calculate 17 - (14 - 2 - (20 + -25)).
0
Calculate 215 + -206 + -1 + -1.
7
-14 + 4 + (1 + -13 - -28)
6
-15 - ((-36 - -14) + 17)
-10
What is 11 - ((29 - 13) + 0)?
-5
Calculate -9 + 17 + (4 + 3 - 12).
3
Calculate -7 - ((5 - 17) + 8 - 0).
-3
What is the value of -2 - (-5 + -27 + 7 - (0 - -1))?
24
What is 0 + (0 - (-11 - -16 - -6))?
-11
What is (21 + -6 - 29) + 2?
-12
Evaluate (2 - 6 - 8) + (-19 - -16).
-15
(9 - (3 + 3 + -7) - 20) + 2
-8
What is the value of (-29 - -1) + 53 + -21?
4
Calculate -5 - (0 + 2) - (-2 - 20 - -23).
-8
-10 - (-6 + 2 + 8 + -10)
-4
((5 - -4) + 5 - (0 - -5)) + 0
9
What is the value of 13 - 3 - (1 + 7)?
2
What is the value of 1 + -12 + (109 - 105) - -35?
28
Evaluate (-1 + 4 - 7 - 10) + 3.
-11
(-5 - -1 - -3) + 4 + 27 + -48
-18
What is 5 + -1 + 2 + 76 + -93?
-11
Calculate -14 + (45 - (2 + 13)) - -21.
37
What is 1 + (-6 + -1 - -1) + 6 + 9?
10
Calculate (215 - 215) + (-5 - 0).
-5
What is (-45 - -1) + (-221 - -233)?
-32
(5 - (21 - 18)) + -8 + -2
-8
Evaluate 15 + -13 + (0 - 0) - -8 - 14.
-4
What is -77 + 58 + -3 + 1?
-21
Evaluate (8 - (11 - 6)) + 8 + -2.
9
What is the value of -23 - (-38 - (-18 - 13))?
-16
What is the value of 4 - ((-1 - -4) + (45 + -22 - 25))?
3
What is the value of 6 - 0 - -2 - (4 + -2 - -18)?
-12
Evaluate (-9 - -3) + 43 + -30.
7
Calculate (-4 - (2 + -13)) + (2 - 10).
-1
What is the value of 12 + 0 + -6 + -25 - -4?
-15
-4 - (-5 + -1 - -2 - (-10 - -19))
9
12 + -33 + 17 + -7 - 18
-29
Calculate (11 - (27 + -10)) + 13.
7
What is the value of 524 - 539 - (10 + 0) - -1?
-24
What is (-2 - (1 - 1 - -3)) + 7 + -3?
-1
What is (1622 - 1592) + -38 + 0?
-8
Calculate 11 - ((-10 - -27) + 0).
-6
6 + -17 - (-2 + -10)
1
-9 + 38 - 6 - 36
-13
7 - (3 - (-29 - (-16 - -8)) - -10)
-27
What is 7 + -1 + (10 - (7 - -10)) + 1?
0
What is -7 + (0 - 0) - (-26 - (-11 + 1))?
9
Calculate -1 - (3 - -8 - (-28 + 23)).
-17
Calculate 13 - 11 - -13 - 15.
0
What is the value of -164 + 190 - (8 - (-5 - -10))?
23
What is -87 - -84 - 16 - (-54 - 1)?
36
Calculate 13 - (37 - 1 - (145 - 135)).
-13
-8 - 0 - (17 - 36 - -11)
0
Calculate -8 + 24 + -8 + -13.
-5
-5 - (-2 - (-1 + 1) - (-131 - -131))
-3
What is 3 + -8 - (-757 - -720)?
32
What is the value of -9 + -1 - (49 + -6 + -39)?
-14
What is the value of 11 - (8 + -8 + 6) - 12?
-7
-7 + 5 + -4 + 18
12
Evaluate 1017 - 1004 - (0 - -25).
-12
Evaluate -28 + 3 + -1 + 10 + 6.
-10
What is the value of 1 - 26 - (775 - 785)?
-15
What is 3 + -21 - (0 - 3) - (94 - 99)?
-10
1 + -1 - (59 - 48)
-11
What is the value of (1 - (-4 - -19)) + 13?
-1
Evaluate (40 - 29) + -36 - 1.
-26
Evaluate (-2 - 31) + (-6 - -3) - (-31 - -27).
-32
What is the value of -5 + (2 - (-10 - -14)) + -4?
-11
Evaluate (21 - 4) + (-8 - -10).
19
What is the value of 1 + 3 + 2 + (13 - -4) + -12?
11
What is -19 - (-18 - (-7 + -2))?
-10
14 + -2 + 4 + -26
-10
What is the value of 34 + (-64 - 6) + 36?
0
What is the value of 1 + (-6 - 0) - (-16 - (2 + -6))?
7
Evaluate 13 + (1 + 3 + 8 - 30).
-5
Calculate 17 - (-12 - -18 - -1).
10
What is the value of -196 - -205 - (0 - 1)?
10
Evaluate -4 - (-3 - -4) - (-7 - 9).
11
Evaluate 10 - (34 + -17 + -1 - -24).
-30
What is 13 + -47 - (-4 - 25)?
-5
What is the value of -9 + -2 + (6 - 3 - (-11 - -15))?
-12
(3 - 3) + 3 + (-8 - -6) + -10
-9
Evaluate (22 - (0 + 13)) + (6 - -6) + -1.
20
Evaluate 14 - (-4 - -14) - 9 - (2 - -1).
-8
5 + ((-16 - -10) + 12 - (-1 + 4))
8
What is the value of (-27 - -22) + -3 + 17 + -19?
-10
What is the value of (26 - -1) + -1635 + 1603?
-5
What is (-36 - -44 - (-1 - -1)) + 5?
13
Calculate 23 - 7 - (1 - (-2 - 2)).
11
Calculate 0 + (-23 + 2 - -18).
-3
4 - (-8 + -12) - 4
20
What is the value of -3 - 1 - (191 - 156) - -15?
-24
Evaluate -10 + 5 + 7 + 4 + 4 + 2.
12
(29 - 4 - -7) + -63
-31
What is 0 + 6 + -12 + 6 + -4 + 5?
1
What is the value of 14 + (3 - 2) - (25 + (-27 - -9))?
8
What is 12 - (-45 - (21 - 52))?
26
What is 8 - (4 - (4 + (-6 - (-5 + 4))))?
3
What is the value of (-2 - -20 - 1) + -18?
-1
What is the value of 12 - ((-1 - -11) + (-1 - 4)) - -7?
14
What is -9 - (11 - (-9 - -20))?
-9
Evaluate (-256 - -232) + 7 + 0.
-17
What is the value of -55 + 59 - (1 - (-17 - 2))?
-16
What is 0 + 9 - (-105 - -122)?
-8
What is 1 + (-28 - -30) + 20?
23
What is -61 + 50 + (31 - 5)?
15
20 - (6 + (13 - 12))
13
What is 3 - (17 + -21) - (11 + -8)?
4
What is the value of -27 + (10 - -10 - 9)?
-16
-881 - -897 - (-1 + 0 + 5)
12
What is the value of (33 - 62) + -28 + 30?
-27
What is the value of (-12 - 3) + 14 + 20?
19
What is 38 + -40 - ((0 + -1 - -3) + -6)?
2
Evaluate (6 - 2) + 6 + -6 + 18 + 7.
29
What is the value of -21 + 4 - (-32 - (21 + -20))?
16
-53 + 29 + -2 + 5 + 1
-20
Evaluate (1 - (-10 - (-5 + -5))) + 0.
1
4 + (-2 - 5) - (-1 + 3)
-5
-10 + 1 - (3 + (-5 + 6 - -2))
-15
2 + (-10 + 1 - (-30 - -24) - -3)
2
(7 - (1 + -2)) + 30 + (4 - 31)
11
What is the value of 1 + -8 + (-3 - -23) + -12 - -14?
15
Evaluate 4 - 4 - 2 - (13 + -14).
-1
Calculate 3 + -7 + 12 + -6 + 3 + -6.
-1
What is -18 + 21 + 16 - 17?
2
Evaluate 5 + (-30 - (-4 + -21)).
0
What is (-101 + 113 - (2 + 0)) + -3 - 22?
-15
0 + 7 + (-11 - 8) + 12
0
Evaluate 2 + 4 + (-4 - -3) - -2 - 7.
0
What is 611 + -563 - (1 + 44)?
3
10 - ((-6 - -7 - 5) + (-27 - -17))
24
What is -10 - (5 + 0 + -7) - 2?
-10
41 + -40 - (2 - 2) - 24
-23
3 + (1 - 13) + (0 + -9 - -13)
-5
What is the value of -14 - (-15 + (12 - 12))?
1
Evaluate (5 - 2) + 8 + -4.
7
(-6 + 15 - (-11 - -12)) + -8
0
What is 30 + -7 + (-16 - -17 - 6)?
18
Calculate -2 - 2 - -4 - (-27 + 31) - 31.
-35
Calculate (2 - (2 - (-1 + 16))) + (15 - 14).
16
What is the value of -12 + 22 - ((24 - -6) + 5)?
-25
What is 1 - -1 - (-5 + 18 - 6)?
-5
Calculate 1 + (11 - (21 - 22)).
13
What is the valu | {
"pile_set_name": "DM Mathematics"
} |
n = t + 3.16. Which is the nearest to -0.2? (a) 1/2 (b) n (c) 0
c
Let x be 1 + -1 + 3/15. Which is the nearest to x? (a) -0.1 (b) -2 (c) 3/5
a
Suppose -3*k + 69 = -2*r, -5*k = -4*r - 172 + 31. Let n be -5 - -3 - r/12. What is the nearest to -0.1 in -2/5, n, 3?
-2/5
Let r be 11/3 + -2 + -2. Let c = 1 - 1. Suppose 5*q = 4*n + 23, -3*n + c = -2*q + 12. What is the nearest to 0.1 in r, 1/4, n?
1/4
Let v = 31/85 + 4/17. Which is the nearest to 0? (a) 0.04 (b) v (c) 2
a
Let f = -5 + 4.96. Let p = 0.04 + f. Let w = -3 - -4. Which is the closest to 2/3? (a) -3 (b) p (c) w
c
Let m be 1394/28 - (-30)/20. Let j = m - 51. Let u = -8 - -17/2. Which is the closest to 0.1? (a) j (b) u (c) 4
a
Let l = -0.138 - -6.098. Let i = -0.04 - l. Let w = i + 7. Which is the closest to 1/2? (a) -2/3 (b) 3 (c) w
c
Let z = 91 - 271/3. Which is the nearest to z? (a) 2/7 (b) 0.5 (c) -1
b
Let i = 1.4 + -0.4. Let k = 0.23 + -0.03. Suppose u = 2 + 3. What is the closest to i in -1/6, k, u?
k
Let m = -4.6 + 5. Let f = 3 - 2.8. Let x be (-6)/12*(-4)/(-13). Which is the nearest to 0.1? (a) x (b) f (c) m
b
Let r = -106.4 + 106. What is the nearest to -1 in r, -0.1, 4?
r
Let y = 2 - 9. Let v = y + 7.4. Suppose 0*u = 5*u - 5. What is the closest to -2 in u, 0.3, v?
0.3
Let o = -0.1 - 0. Let u = -6 + 9. Let j be (4/28)/((-6)/7). What is the closest to o in -5/3, j, u?
j
Let t = 0.49 - 0.39. What is the nearest to 0.6 in t, -1, -5?
t
Let t be 16/30 + 2/(-6) + -1. Let z = 11/20 - 3/20. What is the closest to z in t, -3/2, -4?
t
Let m = -2 - -6. Let d = -10 + 9.9. What is the closest to d in -0.2, m, 0.2?
-0.2
Let z = -18.4 + 19.4. Let p = 2 + -1.9. Which is the closest to -1/3? (a) 1/5 (b) p (c) z
b
Let l = 0.05 + -0.45. Which is the closest to -2/3? (a) -4 (b) -1/2 (c) l
b
Let f(s) = s**2 + 3*s - 6. Let r be f(-5). Which is the closest to 0? (a) -0.2 (b) -6 (c) r
a
Let j = -0.147 + 0.147. Which is the nearest to -2/7? (a) 1 (b) 0.1 (c) j
c
Let w be 2/4*(-2)/(-3). Let i = -90103/7 - -12820. Let z = 52 + i. Which is the closest to -2? (a) w (b) z (c) -4
c
Let r be -2 + (-1)/(2/(-8)). Suppose 5*w + 30 = x, 3 = -r*w + 4*x - 9. Let s(q) = q**3 + 6*q**2 - q - 8. Let l be s(w). What is the closest to 1/4 in 0, l, -5?
0
Suppose 6*m - 3*m + 2*u - 6 = 0, 4 = 2*m - 5*u. Which is the closest to 2/7? (a) m (b) 2/11 (c) 4/5
b
Let d = 13 - 18. Let f be (-1)/5 - (-9)/d. Let p be -3 + 2 - 14/(-10). Which is the closest to 0.1? (a) f (b) p (c) -4
b
Let m(v) = v**2 - 8*v - 5. Let r be m(8). Let q be 15/r*(-2)/10. Which is the closest to 1/2? (a) -2 (b) q (c) -1/4
b
Let b = -4.4 - -4.1. What is the nearest to -1 in -1/4, -0.7, b?
-0.7
Let a be (-1 + 2)/(42/(-3408)). Let o = -81 - a. What is the nearest to -1 in o, -2/7, -4?
-2/7
Let w be 4 - 2 - (10 - -2). Which is the closest to w? (a) -4 (b) -1/5 (c) 0.1
a
Let g = -8 - -8. Suppose 4*s = -z - s - 2, 5*z - 4*s - 19 = 0. Let r be (1 - z) + (-15)/(-6). What is the closest to r in g, -0.4, -2?
g
Let z = 0.21 - -0.09. Which is the closest to -0.1? (a) 0.5 (b) -1 (c) z
c
Let j = -6 - -5.7. Let r = 1.3 + j. Let d = r + -0.9. Which is the nearest to 2/5? (a) d (b) 1/2 (c) 0.2
b
Let f = 9 + -14. Let d = -4.9 - f. What is the closest to d in -2/9, -0.3, -2/3?
-2/9
Let t = 1.7 - -1.3. What is the closest to 2 in -2/11, t, -3?
t
Suppose -2*d = -5*y - 3, -2*y + 3 = d - 3. Let k = -8 + -2. Let o = -10 - k. What is the closest to y in o, 1, -0.3?
1
Let k = 1/100 + 397/300. Which is the nearest to -0.2? (a) 2 (b) -0.4 (c) k
b
Let i = 0.014 - 0.514. Which is the closest to 1? (a) -0.1 (b) i (c) -11
a
Let f = -0.29 + -0.01. Let z = -0.6 + 0.5. What is the nearest to z in 4, -4/5, f?
f
Let f = -26 - -13.3. Let s = 12 + f. What is the closest to s in -2, 2, -0.2?
-0.2
Let g(p) = p**3 - 2*p**2 - 4*p + 3. Let r be g(3). Suppose 5*f + 10 = -j, 3*f + 34 = 2*j + 3*j. Which is the nearest to r? (a) j (b) -2/3 (c) -4
b
Let f = -4.937 + 0.037. Let s = f - -5. What is the nearest to s in -0.5, 2, 0.3?
0.3
Let q be ((-1)/8)/((-2)/(-4)). Let k = -0.12 + 0.04. Let i = k + -0.12. What is the nearest to i in 0.5, q, 0?
q
Let i be 3*(1 - 1 - 1). Let o = -0.2 - -0.1. What is the closest to o in i, 0.1, 0.2?
0.1
Let u = 13 + -13. Let n = 4.2 + -2. Let f = n + 0.8. Which is the nearest to 0? (a) u (b) f (c) -4
a
Let l(j) = -2*j + 16. Let h be l(0). Let m = -16 + h. What is the nearest to m in 2/7, 8, 4?
2/7
Let q = -67.71 - -63.7. Let z = 5 - 4.99. Let n = z + q. Which is the closest to -1? (a) 4 (b) -0.2 (c) n
b
Let w = -0.2 + 0. Let q be (-19 + 4)*(-1)/12*2. Which is the closest to 0? (a) q (b) 0 (c) w
b
Let m = -0.2 - -0.5. What is the closest to m in 0, 3, -5?
0
Let g = -0.14 - -0.21. Let n = -0.07 + g. Which is the closest to n? (a) -3 (b) -3/4 (c) 4
b
Let m = -5.4 - -1.4. Let b = 0.1 + 0.4. Let o be (-2)/24 - 2/8. What is the nearest to o in m, 0.4, b?
0.4
Let h(d) be the second derivative of d**5/20 - d**4/3 - 2*d**3/3 - 2*d**2 + 3*d. Let m be h(5). What is the closest to m in 4, 5, 0?
0
Let i = -5 - -5.4. Which is the closest to 6? (a) -0.4 (b) -0.1 (c) i
c
Let f be (-6)/10 + (-36)/15. Let z = -0.4 - -0.6. Which is the nearest to -1? (a) 1/3 (b) z (c) f
b
Let v be ((-2)/(-12))/((-20)/16). Which is the closest to 2? (a) -4 (b) 1/2 (c) v
b
Suppose -k - 27 = 2*k. Let z = 61/7 + k. Which is the nearest to -2/5? (a) z (b) 0.1 (c) -2
a
Let v(j) = -j**2 + 9*j - 8. Let k(g) = g - 1. Let w(s) = 3*k(s) - v(s). Let o be w(5). Let t = -0.8 + 0.5. Which is the closest to 0.1? (a) o (b) 0.3 (c) t
a
Let v = -1.42 + -0.58. Let k be (-1)/(1 + (-5)/(-2)). What is the closest to 0.2 in k, 2/7, v?
2/7
Let d = 0.3 - -0.2. Let v = 57 - 115/2. Which is the closest to v? (a) 0.2 (b) d (c) 2/9
a
Let k = 31/160 - 3/32. Let q = 4 + 0. Let s = -6 + q. What is the nearest to 1 in 1/6, s, k?
1/6
Let j = 21.6 - 22. Let n = 0 - 1. Suppose -5*m = -4*m - 1. What is the nearest to m in 3/8, j, n?
3/8
Let g = -8 + 6. Let y = -6 - g. Let v = 3 + 1. Which is the nearest to 0.1? (a) y (b) v (c) 2
c
Let p = -0.5 - -0.4. Let n = -0.3 + 0.2. Let j be (-48)/(-160)*4/(-6). Which is the closest to n? (a) p (b) j (c) -0.4
a
Let w = 0.51 - 0.01. Let j be (-9)/(-12)*2/(-6). Let q = 1 + -0.7. Which is the closest to 0? (a) w (b) j (c) q
b
Suppose -17 = -p + 3*p - 5*j, -14 = -p - 5*j. Let d = 0 - p. Let h = -0.65 - -0.15. Which is the nearest to d? (a) h (b) -4 (c) 0.5
c
Let w = 90/17 - 1092/187. What is the closest to -0.2 in w, 0, -3/5?
0
Let h = -0.048 - -0.148. What is the nearest to -3/2 in -1/3, h, 2?
-1/3
Let x be (-10)/6*(-18)/(-24). Let l = -33/20 - x. Let t = 49 + -346/7. Which is the nearest to -1? (a) -2 (b) t (c) l
b
Suppose -2*t + 74 = 2*x, -4*t + 3*t = -2*x + 89. Let s = x + -167/4. Which is the nearest to 2/5? (a) 0.3 (b) 5/3 (c) s
a
Let f = -0.06 - -0.16. Which is the nearest to 0? (a) f (b) 5 (c) 1
a
Let f be 0/(-6) + 1/5. Let z = -2.02 - -0.02. Which is the nearest to z? (a) 1 (b) f (c) -3
c
Let b = 63 - 190/3. What is the nearest to -3 in b, 0.3, 2?
b
Let l = -2280/17 - -134. Let v = 0.41 - 4.01. Let u = v - 0.4. Which is the closest to -1/4? (a) l (b) -0.3 (c) u
b
Let z be (2/(-5))/((-3)/10). Let v = -1.6 + 2. Let g = 0.13 - 0.03. Which is the closest to -1? (a) g (b) v (c) z
a
Let s be (-2)/4 + 13/(-26). Which is the nearest to 1? (a) 0.3 (b) 4 (c) s
a
Let q = -0.1 - 0.4. Suppose -4*s + 12 = 0, 5*s = -5*m + s + 12. What is the nearest to m in q, -4, 1?
q
Let o be (-2)/(-11) + -3 + 3. Which is the closest to 2? (a) -1 (b) 1/3 (c) o
b
Let j be 6/4 + -4 - -4. Let b = 0 + -0.1. What is the nearest to b in -1/3, j, -1/2?
-1/3
Let s = 0.3 - -2.7. Let k = 3.2 - s. What is the closest to k in -2/11, 0, -5?
0
Let r = 0.4 + -0.3. Let m = 0.4 + r. Let v = 0 + 1. Which is the closest to v? (a) m (b) 4/5 (c) -4
b
Let f = 0.1 - -0.9. Let j = -3.3 + 3. Let r = -36 + 254/7. What is the closest to f in j, -2, r?
r
Let v = -7.1 - -2.1. Let p = 0.28 + 0.02. What is the nearest to 1/4 in p, v, 3?
p
Suppose 0 = -2*z + 3*z - 4. Let k be 15/20 - (-9)/z. Let x = 20 + -182/9. Which is the nearest to 0? (a) x (b) k (c) 4
a
Let y = 7 - 11. Let n = 4 + -1. Let x = -2.9 + n. Which is the nearest to | {
"pile_set_name": "DM Mathematics"
} |
2, -0.03, t?
-0.03
Let r = 3 - 5. Let x = 34 + -33.54. Let y = x - -2.54. Which is the third biggest value? (a) y (b) -8 (c) r
b
Let v = -70.7419 + -0.1581. Let w = v - -71. What is the third biggest value in 2/11, -0.1, 0.4, w?
w
Let m = -0.3 - -0.6. Let q = 6263 - 6328. What is the third smallest value in q, -2, m?
m
Let p = 601/3 + -200. Suppose -8 = -2*h - 4*v + v, 3*v + 4 = h. What is the second biggest value in p, 5, h?
h
Let t = -5.2 + 17.3. Let m = t + -12. Which is the second biggest value? (a) -1 (b) m (c) -5
a
Let h = 3 - 2. Let c = -2.1595 - -2.5595. What is the third smallest value in c, h, -34?
h
Let n = 3.8 - 0.8. Let p = -0.0621 - -0.2621. Which is the biggest value? (a) 0.5 (b) p (c) n
c
Let h = 411 - 41099/100. Which is the third smallest value? (a) 3/7 (b) -1/3 (c) h
a
Let n = 108.6 - 117.6. Let s = 7 + -10. Let c = 2 - -3. What is the second smallest value in n, c, s?
s
Let k(z) = 2*z + 59. Let u be k(-29). What is the second biggest value in 0.5, 2/11, u?
0.5
Let d = -1235 - -1188. Which is the third smallest value? (a) -5 (b) d (c) 1
c
Let f = -119.7 - 0.3. Let v = f + 110.1. Let g = -10 - v. What is the biggest value in 2/7, g, 1/3?
1/3
Suppose 0 = -5*q + q - 12. Let s = -0.31 + -0.69. Which is the fourth smallest value? (a) q (b) s (c) 2 (d) -0.2
c
Let r = -7.03 + 7. Let v be 1 + (3 - 249/18) - -3. Let q = -6 - v. What is the second biggest value in -1, r, q?
r
Let j = 16 + -11. Let x(w) = 4*w**2 + 37*w + 65. Let g be x(-7). Which is the biggest value? (a) 0.3 (b) g (c) j (d) 9
d
Let k = 0.11 + -0.09. Let i be 21/(-12) + 3 - 1. What is the smallest value in i, -0.5, k?
-0.5
Let v = 449.08 + -449. What is the fourth smallest value in -1/4, 8, -0.3, v?
8
Let d = -0.364 + 0.344. Which is the second smallest value? (a) d (b) 6 (c) -0.1
a
Let w = 123/55 - 18/11. Let s = 17/54 + -5/54. Which is the third smallest value? (a) s (b) w (c) 40
c
Let j(q) = q**2 + 6*q + 3. Let r be j(-3). Let d be (112/r)/(-8) + -3*1. What is the third biggest value in d, -4, -0.3, -5?
-4
Let j be ((-21)/28)/(3/(-780)). Let a = 3318/17 - j. What is the second biggest value in -1/3, 1/4, a?
a
Let j = -6.1 + 42.1. Let r = j - 35.7. Which is the third biggest value? (a) r (b) 4 (c) -5
c
Let v = 86 - 86.1. Which is the fourth smallest value? (a) -2 (b) -2/31 (c) 2/11 (d) v
c
Let l be 19/((-456)/176) + 8. Let z = 0 - 5. Let j be 1/4 + (-2)/40. Which is the biggest value? (a) z (b) l (c) j
b
Let n = 83/4 - 21. Let y = -34 - -46. Let f be (14 - y)/((-2)/(-4)). What is the smallest value in f, n, -0.3?
-0.3
Let d = -120 - -842/7. Let p = 1 - 1. What is the third smallest value in p, 0.1, d?
d
Let z = 0.161 - -0.009. Let s be (1 - (-3)/(-2))/2. What is the fourth smallest value in 1, -0.1, s, z?
1
Let i = 117/7 - 1879/112. What is the third biggest value in -2, -0.1, i?
-2
Let i = -21 + 17. Let p be (-2)/1*6/(-30). Which is the third smallest value? (a) i (b) p (c) -0.2
b
Let p = -0.03 + 0.23. Let o = 0.3 + p. Let f be 1/6 - (-435)/(-450). What is the third smallest value in o, 0.1, f?
o
Suppose -6*q + 0*q = 0. Which is the second biggest value? (a) -3 (b) q (c) -3/5
c
Let h = 239.5 + -239. Which is the third smallest value? (a) h (b) -2/7 (c) -2 (d) 125
a
Let f = 124 - 79. Let j = -41 + f. Suppose 0 = a - k + 8, 4*k - 28 = a + 2*a. What is the third smallest value in a, j, 2?
j
Let l be 7 + -102*(-8)/(-12). Which is the second smallest value? (a) 2/11 (b) l (c) -0.4
c
Let y be -4 - (-5 - (-54)/48). Which is the third biggest value? (a) 1 (b) 1/216 (c) y (d) 4/5
b
Let u = -1.1 + 0.9. Let i(n) = -3*n + 3. Let q be i(5). Let h be 2*(-3)/q*-6. Which is the third biggest value? (a) h (b) 0.1 (c) u
a
Let s = -1965 - -1966. Which is the biggest value? (a) -5 (b) 0 (c) 2/17 (d) s
d
Let v be (23 + -19)/((-4)/(-9)). Let c = -77.95 - -80. Let l = c - 0.05. What is the biggest value in l, 3/5, v?
v
Let g be ((-48)/(-64))/((-10)/8 - -1). What is the second smallest value in 1, 14, g?
1
Let i be (-1 + 0)*(-4 - (-117)/27). What is the third smallest value in 2.6, i, 1/8?
2.6
Suppose -13*r + 10*r = 6. Let x be ((-21)/14)/(1/r). Let h be (-1)/(-36) - (-5)/(-20). Which is the second smallest value? (a) -0.1 (b) h (c) x
a
Let l = 18 + -14. Suppose 5*v - l*v = 3. Which is the second biggest value? (a) v (b) 1/3 (c) -7
b
Let v = 430.21 + -430. Which is the second smallest value? (a) 5 (b) -12 (c) v
c
Let w be (58/725)/((-6)/10 + 0). Which is the biggest value? (a) 0.3 (b) w (c) 2/7
a
Let l = -1497.4 - -1497. Which is the third biggest value? (a) 4/5 (b) l (c) 1246
b
Suppose -7 = 4*p - 3*v, p - 2*v + 7 = -4*p. Which is the second biggest value? (a) 2 (b) -44 (c) p
c
Let k = 1.99 + 0.01. Let o = -63 - -63.9. Let z = 0.8 - o. Which is the second smallest value? (a) z (b) 0.5 (c) k
b
Let z be (0 - 12/(-60))*0. Which is the smallest value? (a) z (b) 1 (c) -5 (d) -6
d
Let p = -0.3 - -0.2. Let i = -37 - -33. Let r = -0.31 + 0.31. What is the second biggest value in p, r, i?
p
Let t = -557/5 - -112. Suppose 6*q + 9 + 3 = 0. What is the second biggest value in t, q, 4/5?
t
Let g = 2/35199 - 2252890/2710323. Let x = g - -6/11. Let w = 211/7 - 30. What is the biggest value in w, x, -3?
w
Let p = 106.4 - 118. Let i = p - -11.56. Let m be ((-6)/8)/(27/(-24)). Which is the smallest value? (a) 0.3 (b) m (c) i
c
Let y = 57 - 1.7. Let l = 55 - y. Which is the fourth biggest value? (a) 5 (b) l (c) -0.5 (d) 9
c
Let v(j) = j**3 + j**2 - 11*j + 4. Let u be v(-4). What is the biggest value in u, 1, -0.3, 5?
5
Suppose 0*z = 3*z + 24. Let q be (4/z)/(1/2). What is the third smallest value in 0.3, -1/57, q?
0.3
Let t = -222 - -227. Let j = 5.4 - 5. Which is the third biggest value? (a) t (b) j (c) 0.3
c
Let y(x) = 7*x - 1. Let p be y(-1). Let b be 2/(-10)*(p - -4). Let s = -10.6 - -11. What is the third biggest value in b, 0.06, s?
0.06
Let x = 70 - 72.08. Let f = -0.08 - x. Let l(w) = w**3 + 4*w**2 - w - 1. Let d be l(-4). Which is the smallest value? (a) -0.3 (b) d (c) f
a
Let y = -0.115 + -3.885. What is the smallest value in -5, y, 2, -1?
-5
Let p = 1207 - 1209. Which is the biggest value? (a) p (b) 1.5 (c) 1
b
Let s = 1.94 + 0.06. Let q = -16 + 16.5. Suppose -l - 1 = -0. What is the second smallest value in s, q, l?
q
Let o = -155.8 - -139. Let w = o - -17. Let b be ((-6)/(-5))/((-2)/5). What is the smallest value in w, 1/3, b?
b
Let i = -1081 + 1052. Which is the second biggest value? (a) 0.2 (b) 2 (c) i (d) 1/9
a
Let a = -1 - 0. Let g be (-635)/2286 + (-4)/18. Let b be 2/(0 - (-10)/4). What is the second smallest value in a, b, g?
g
Let x = -24 + -6.3. Let y = x + 30. What is the smallest value in 5, y, -1?
-1
Let t = 7.4095 + -0.3415. Let i = -0.068 + t. What is the second smallest value in i, -0.2, 2/19?
2/19
Let v = 1.9 - 4.4. Let f = v + -0.5. Let m = -0.16 - -0.2. What is the smallest value in m, -3/7, f?
f
Let x = -6 - -9. Let k = 1328 + -1343. What is the second biggest value in x, k, -2?
-2
Let f = 341 - 346. What is the second biggest value in f, 1/4, 3, 1?
1
Let i = -187 - -183. What is the second biggest value in 0.1, -0.4, i, 43?
0.1
Let i = 285 + -269.3. Let r = i + -16. Which is the third biggest value? (a) -11/3 (b) r (c) 2
a
Let s = 53318531/195 + -273427. Let y = 2/65 - s. Let d = 6 - 11. Which is the third smallest value? (a) -0.5 (b) y (c) d
a
Let w = 0.1 + 0.9. Let n = -24.1 - -28. Let o = n - 1.9. What is the second smallest value in w, 3/4, o?
w
Let y = 281.3 - 281. Which is the third biggest value? (a) -5 (b) -3 (c) 0.34 (d) y
b
Let y = -1633/654 + -1/327. What is the second smallest value in -2, 2/7, y?
-2
Let y = -0.008 - 12.992. What is the second smallest value in 2/15, y, 3?
2/15
Let v = -224/3 - -76. What is the third biggest value in v, -1/2, -1/3, 1/7?
-1/3
Let g(w) = -w**2 - 2*w**2 + 4*w**2 + 4*w - 4 + 0*w**2. Let n be g(-5). Let r = 10 + -10.3. Which is the second smallest value? (a) r (b) n (c) -0.4
a
Suppose -5 = 18*w - 15*w - s, -12 = 3*s. Which is the third smallest value? (a) w (b) -2/7 (c) -1.2 (d) 1
b
Let u be 1*(1 + (-10)/16). Let v = -275 - -275. Which is the third biggest value? (a) -1 (b) u (c) v
a
Suppose -24*v - 5 = -5 | {
"pile_set_name": "DM Mathematics"
} |
2)*(u - u + u))*(-2 + 0 + 4).
-2*u**3
Expand (o**2 - 2*o + 2*o)*(0*o**3 - 3*o**3 + o**3) + 2*o**5 - o**5 - 3*o**5 - o**5 - o**5 + 5*o**5 + 0*o**5 + 2*o**5 + 0*o**5.
o**5
Expand (3 - 2 + 4)*(-2*y + 0*y + 4*y) - 1 + 1 + y + 3.
11*y + 3
Expand -2*i**3 - 2*i**3 + 2*i**3 + i**3 + i**3 + 0*i**3 + (-5*i + 5*i - i**2)*(-i - 5*i + 3*i).
3*i**3
Expand 2*w - 5*w + w + 4*w + 1 - 2*w - 8*w + (-4 + 6 - 3)*(-2*w + 0*w + 3*w).
-9*w + 1
Expand -5*z**3 + 2*z**3 + z**3 + (5 - 3 + 0)*(2 - 5 + 4)*(-5*z**3 + 17*z**3 + 4*z**3).
30*z**3
Expand (2 + 0 - 3)*(2 + 2 + 0)*(-2*s - 3*s + s).
16*s
Expand ((-4 + 1 + 1)*(v**2 - 8*v**2 + v**2) + 0*v**2 + 3*v**2 - v**2)*(4 - 4 - 4).
-56*v**2
Expand 0*v - v + 2*v + (1 + 3 - 1)*(-2*v - v + 0*v).
-8*v
Expand (-2 + 3 + 2)*(6*z - 2*z - z - 2*z + z + 3*z + (-4*z + 5*z + z)*(1 + 3 - 2) + 4*z - 4*z + z + 2*z + 3*z - 6*z + 3*z - 2*z + 0*z).
30*z
Expand (-4*c**2 + 4*c**2 - c**2)*(0*c - 3*c**3 + 0*c) - 6*c**5 - 2*c**5 + c**5.
-4*c**5
Expand (-2*n**2 - 1 + 1)*(-3 + 3 - n) - 2*n**3 + 0*n**3 + 8*n**3.
8*n**3
Expand (24*y**3 - 23*y**3 - 52*y + 2*y**2 + 57*y)*(-2 - 1 + 1).
-2*y**3 - 4*y**2 - 10*y
Expand (-2*w - 2*w + 2*w)*(2 - 2 + 2*w) + (4*w + 0*w - w)*(-w - 3*w + 3*w).
-7*w**2
Expand (-2*u - 2 + 2)*(2 - 1 - 2 - 4 + 4 + 1 + (-2 - 3 + 2)*(-3 - 1 + 3)).
-6*u
Expand (0*g**2 + g**2 - 2*g**2 + 5*g**2 + 3*g**2 - 6*g**2 + (-4*g + g + 4*g)*(g - 2*g + 2*g))*(-g**2 + 6*g**2 + 2*g**2).
14*g**4
Expand (-4*v + 2*v + 0*v)*(48*v**2 + 15*v - 15*v).
-96*v**3
Expand (-4*b**3 + 2*b**3 - 28 - 10)*(-2 + 2 + 2*b).
-4*b**4 - 76*b
Expand (-2*t**3 - 3*t**2 + 3*t**2)*(-2*t**2 + 3*t**2 + 0*t - 4*t).
-2*t**5 + 8*t**4
Expand (-2*b**2 + 4*b**2 + 0*b**2)*(0 + b + 3 - b**3 - 2).
-2*b**5 + 2*b**3 + 2*b**2
Expand (-4*j**2 - 2 + 2)*(j**2 - 2*j**2 + 3*j**2 + (4*j - 4*j + j)*(-3*j - j + 3*j) + j**2 - j + j + 4*j**2 + 0 + 0).
-24*j**4
Expand (i**2 + 3*i - 3*i)*(41*i**2 - 421*i + 421*i).
41*i**4
Expand 3*p**5 - 4*p**5 + 2*p**5 + (0*p**5 + 5*p**5 + 3*p**5)*(0 - 3 - 1) + 5*p**5 - p**5 - 2*p**5 + 2*p**5 + 3*p**2 - 3*p**2.
-27*p**5
Expand (-4*j + 4*j + 2*j)*((-j + 3 - 3)*(-2*j - 2*j + 3*j) + 4*j**2 + 6*j**2 + 2*j**2).
26*j**3
Expand 0*v + 2*v + 0*v + (2*v - 2*v - v)*(2 + 0 - 3) + 4*v - 2*v - v + 39317 - 39317 + 6*v.
10*v
Expand (6*r - 2 - 5*r + 0)*(5*r - r - r).
3*r**2 - 6*r
Expand ((-3 - 2 + 7)*(s - s - s) + 0*s - 4*s + 3*s)*(78*s**4 + 62*s**3 - 62*s**3).
-234*s**5
Expand (1 - 1 + 1)*(-2*z**2 + 4*z**2 + 0*z**2) + 6*z**2 - 3*z**2 + z**2.
6*z**2
Expand 2*j**3 - 2*j**5 - 2*j**3 + (0 + 4 - 2)*(-j**5 + 5*j**2 - 5*j**2) + j**5 + j**5 - j**5 - j**5 - 12*j**3 + 12*j**3.
-4*j**5
Expand (1 - 1 + 2)*(2*b**5 - 2*b**5 + 4*b**5) + (3 + 2 - 4)*(-2*b**5 - 4*b**5 + 4*b**5).
6*b**5
Expand (0*s**4 - 3*s**4 + 4*s**4)*(2 - 2 + 1)*(91 - 91 - 17*s).
-17*s**5
Expand 2 - 2 - 5*u**4 + (-u**3 + 6*u**3 - 2*u**3)*(2*u + 3*u - 4*u) - 2*u**4 - 2*u**4 + 3*u**4.
-3*u**4
Expand 3*d**2 + 4*d - 4*d + (-3*d + 4*d + d)*(-2*d - 4 + 4) + (4*d - 2*d - 4*d)*(3*d - 5*d + 0*d).
3*d**2
Expand (1 - 2*y + 0*y + 8*y)*((-6 + 2 + 2)*(-2*y + 0 + 0) + 0 - y + 0).
18*y**2 + 3*y
Expand ((-3 - 1 + 6)*(-3 + 0 + 1) - 8 + 2 - 1 + 3 + 2 - 3)*(-6*u + u + 3*u).
18*u
Expand -5*l**3 + 4*l**3 + 2*l**3 + (4*l - 3*l - 4*l)*(-l**2 - 4*l**2 + 3*l**2) - 5*l**3 + 4*l**3 + 2*l**3 + (-l - 2*l**2 + l)*(l - 6*l + 4*l).
10*l**3
Expand (8 - 2*k**2 - 5*k**2 - 6)*(-k**2 + k**2 + 2*k**2).
-14*k**4 + 4*k**2
Expand (-z + 3*z + 0*z)*(4*z - 10*z - 17*z).
-46*z**2
Expand (10 - 3*c**3 + 13 - 16)*(2*c**2 + 0 + 0).
-6*c**5 + 14*c**2
Expand (3 + 0 + 0 + l**2)*(0 + 3 - 5).
-2*l**2 - 6
Expand (5*d - 3*d + 0*d + (1 + 3 - 2)*(-4*d + 3*d + 3*d) + d + 2*d - 5*d + 2*d + 5*d - 5*d + 2 + 2*d - 2 + 2*d - 2*d - d)*(3 - 3 + 4).
28*d
Expand (c**3 - 5*c + 5*c)*(14 - 65 - 34).
-85*c**3
Expand (4 - 4 - 2)*(0 + 0 + 4*l**2).
-8*l**2
Expand (0*d + d + 0*d)*(-4 + 2 + 0) + 2 - 1 + 1 + 3*d.
d + 2
Expand (-4*f - 3*f + 4*f)*(-3*f**4 + 3*f**4 + 2*f**4) + (1 - 1 + 2)*(f**5 - 3*f**5 + f**5) - 2*f**5 - 2*f**2 + 2*f**2.
-10*f**5
Expand (-3 + 3 + z**3)*(-2*z**2 - 2*z**2 + 3*z**2) + 151*z - 5*z**5 - 151*z.
-6*z**5
Expand (4*g**2 - 5*g**2 + 0*g**2)*(-4*g + 2*g + g) + 0*g**3 - 4*g**3 + 2*g**3.
-g**3
Expand (11*c + 7*c - c + (2 - 1 - 2)*(-1 + 2*c + 1) + 4*c + 2*c - 4*c)*(2 + 0 + 2).
68*c
Expand 2*a**2 + 0*a + 0*a + (-6*a + 2*a - 3*a + (-1 - 1 + 0)*(-4*a - 2*a + 5*a))*(0 + 0 + 2*a).
-8*a**2
Expand (5*g - 5*g - 2*g)*(2 - 4 + 0) + (30*g - 510 + 510)*(-1 - 5 + 4) + 0*g - g - g.
-58*g
Expand (-3*g + 2*g - 2*g)*(3*g**2 - 5*g**2 + g**2) + 3*g**3 - 5*g - g + 8*g.
6*g**3 + 2*g
Expand (-3*a + 3*a + a)*(0 - 1 + 0)*(13 + 5 - 3)*(0 + 1 - 4).
45*a
Expand 2*h + 3*h - 4*h + (2 - 3 + 0)*(2*h + 3 - 3).
-h
Expand (4*j**2 + 5 - 5)*(-j**3 - 4*j**3 + 6*j**3) + 3*j**2 + 2*j**5 - 3*j**2 + (1 - 3 + 4)*(0*j**5 - 3*j**5 + 2*j**5).
4*j**5
Expand (-1 + 1 + 2)*(2 - 2 + 2*m)*(-4*m**3 + 4*m**3 + 3*m**3) + m**4 + m**4 + 0*m**4.
14*m**4
Expand (24 - 24 + 3*h)*(-h**2 + h**2 - h**2)*(1 - h**2 - 1).
3*h**5
Expand (0*j + 3*j**2 + 0*j)*(5*j - 5*j - 7*j).
-21*j**3
Expand ((-1 + 3 + 0)*(3*z + 0*z - 2*z) + 1 + z - 1)*(1 + 3*z - 4*z + 3*z).
6*z**2 + 3*z
Expand -3*l**2 + 2 + 0 + 2*l**2 + (-5*l**2 + 2*l**2 - l**2)*(-13 - 1 + 1).
51*l**2 + 2
Expand (-i + 5*i - 8*i)*(0*i**2 + i**2 - 2*i**2).
4*i**3
Expand (-3 - f**2 - 1 + 6)*(2*f**3 + f**3 - 5*f**3).
2*f**5 - 4*f**3
Expand (3 + 2 - 4)*(-n**4 - 2*n**4 + n**4) - 4*n**4 + 5*n**4 - 11*n**4 + 0*n**4 + 4*n**4 - n**4 - n**4 + 3 - 3 + (0*n**3 - 2*n**3 + 0*n**3)*(n + n - n).
-12*n**4
Expand (0 + 0 - 4*v)*(-3*v**3 + 0*v**3 + v**3 + (-v**3 - 1 + 1)*(0 + 5 - 3) - 2*v + 2*v - v**3)*(-v + v + 3*v).
60*v**5
Expand (0*v + 2*v - v)*(5*v**2 + 3*v**2 - 3*v**2)*(-5*v + 3*v + 4*v).
10*v**4
Expand (0 + 3 + 2*a - 6)*(-a**2 + 0*a**2 + 6*a**2).
10*a**3 - 15*a**2
Expand (t - t - 2*t)*(0 + 3 - 2) + (-3 + 2 + 2)*(3*t + t - 2*t) + 0*t + 4*t - 2*t.
2*t
Expand (17 - 17 + 8*x)*(4*x**2 - 6*x**2 + 0*x**2).
-16*x**3
Expand (-2*a + 2*a - a**2)*(-a**2 + 140*a - 140*a).
a**4
Expand (l**2 + 2*l**2 - l**2)*(11 + 8 - 1 + 3 - 2 + 1 + (-2 + 1 - 1)*(4 - 2 - 1)).
36*l**2
Expand (-2*s + 4*s**4 + 2*s)*(-6*s + 15*s + 7*s).
64*s**5
Expand (2*t - 10*t + 0*t)*((-t - 2 + 2)*(4 - 1 - 1) + 5 - 2*t - 5 + 4*t + 3*t - 5*t).
16*t**2
Expand (0*q - 6*q + 0*q)*(-2 + 3 - 3*q + 5*q).
-12*q**2 - 6*q
Expand y - y - 4*y + 5 + 3*y - 5 - y + 5*y - 3*y + (-y + y - y)*(1 - 2 + 0) - 2 + 2*y + 2 - 2*y + 0 + 0.
y
Expand (-4*k**2 + 3*k**2 + 0*k**2)*(-9 - 12 + 12).
9*k**2
Expand (-4*i + 0*i - i)*(1 + 8 - 4).
-25*i
Expand (-1 + 2 + 1 + (-2 + 1 + 0)*(2 - 2 + 1))*(-15*o + 2*o - o) - 9*o - 5 + 5 - o - o + 4*o + (1 + 2 - 1)*(0*o - o - o) + o - o - 2*o + 2*o - 4*o + 3*o.
-26*o
Expand (-1 - 7*p + 8*p - 1)*(1 + 1 + 0).
2*p - 4
Expand (-4335*i + 4335*i + 84*i**4)*(1 + 3 - 2).
168*i**4
Expand (4 - 4 + 2*p)*(4*p - 2*p - p) + 0 + 0 - 4*p**2 + (3*p - 2*p + p)*(1 - 1 - p).
-4*p**2
Expand (-60*t**2 - 5*t**4 + 60*t**2)*(-t + 1 - 1).
5*t**5
Expand (-3*c + 0*c + 2*c)*(-1 + 10 - 4).
-5*c
Expand (-2 - 1 + 5)*(-l + l + l)*(-6*l + 2*l + 3*l) + (5 - 2*l - 5)*(2*l + 2*l - 2*l).
-6*l**2
Expand 3 - 3 - 3*z**2 + (3*z - 6*z + z)*(0*z - 2*z + 0*z).
z**2
Expand (4 - 4 - 2)*(113 - 113 - 14*b)*(-3*b + 4*b + 0*b).
28*b**2
Expand (2*d + 2 - 2)*(0 + d + 0) + 0*d + 3*d**2 + 0*d - 8*d + 8*d + 3*d**2.
8*d**2
Expand -5 + 1 - i + 0 + (0 + i + 0)*(-3 - 2 + 3).
-3*i - 4
Expand (2*q + q**2 - 2*q)*(-5*q**3 + 6*q - 6*q) - 3*q**5 + 5*q**5 - q**5.
-4*q**5
Expand (-55 - 4 + 10)*(0*f - 2*f + f).
49*f
Expand -2*y**3 - y**5 + y**4 + 2*y**2 - y**4 + (-y**4 + 2*y - 2*y)*(-2 + 2 - y) + 3*y**5 + 3*y**5 - 4*y**5 + 2*y**5 + 0*y**5 - y**5 + 5*y**5 - 3*y**5 + 0*y**5.
5*y**5 - 2*y**3 + 2*y**2
Expand (3*f - 7*f + 3*f + (2 - 6 + 2)*(f + 0 + 0) - 2*f - 3*f + 4*f)*(1 + 2 - 2)*(0 - 2 + 1).
4*f
Expand (-2*n - n**2 + 2*n)*(2 - n**2 + 15*n - 15*n).
n**4 - 2*n**2
Expand (33 - 33 + 6*p**2)*(-3*p**2 - 6*p**2 + 3*p**2).
-36*p**4
Expand (-8*i + 0*i + 3*i)*(3*i**3 - 3 + 3).
-15*i**4
Expand 3*h**3 - h**3 + 7*h**3 + (1 - h - 1)*(-2 + 2 - h**2).
10*h**3
Expand (2 + 0 - 3 + b)*(3*b**4 - 4*b**4 - b**4).
-2*b**5 + 2*b**4
Expand ((0*h + h + 0*h)*(4 + 1 - 3) + 16 + 5*h - 16)*(-2*h + 3*h - 2*h).
-7*h**2
Expand -i**4 + i**4 - i**4 + (-i + 3*i - i)*(2*i**3 + 0*i**2 + 0*i**2)*(-3 + 1 + 1).
-3*i**4
Expand (-15*p + 8*p - 15*p)*(-5*p - p + 4*p) + (-2*p + 2 | {
"pile_set_name": "DM Mathematics"
} |
rder.
b, -0.3, -4/5, -1
Let c(k) = -k**3 + 6*k**2 - 2*k + 10. Let h be c(0). Put -2, 19, h in descending order.
19, h, -2
Let w = 4.156 + 0.044. Let f = w - 4.3. Sort f, -6, -1, -4.
-6, -4, -1, f
Let c be 2*7/70 + (-14)/45. Put -0.1, c, 5 in increasing order.
c, -0.1, 5
Suppose -2*i = i - k - 14, -3*k + 13 = 2*i. Suppose 6*u + i = 23. Suppose 4*v = u + 9. Sort v, -5, 5 in descending order.
5, v, -5
Let n = 1 + -0.96. Let w = -162 + 153. Let v be 6 + -7 - w/12. Put 2, n, v in decreasing order.
2, n, v
Let l = 1.1 - 1.9. Let f = -1.2 + l. Put f, -1/3, -1 in decreasing order.
-1/3, -1, f
Suppose -24*l - 17 = -3*f - 20*l, 2*l + 10 = 2*f. Sort -4, 283, f.
-4, f, 283
Let a(b) = -b**3 + 5*b**2 - 6*b + 4. Let d be a(3). Sort d, 9, -1 in decreasing order.
9, d, -1
Let i = 16 + -3. Let q be (i/(-3) + 1)/(4/36). Put -4, q, 3 in descending order.
3, -4, q
Let k = 387 + -386.8. Sort -0.08, k, 2/9 in decreasing order.
2/9, k, -0.08
Let a = 0.373 - -0.027. Put a, 2, -12, -0.4 in increasing order.
-12, -0.4, a, 2
Let z = -3/32 + 73/96. Put 0.3, z, 166 in decreasing order.
166, z, 0.3
Let j = -64 - -37. Let m = -25 - j. Put -3, -4, m, -2 in increasing order.
-4, -3, -2, m
Let o be (24/(-70))/((-140)/1050). Sort 3, o, 1/2, 4 in increasing order.
1/2, o, 3, 4
Suppose 2 - 29 = 18*i + 9. Let l = -0.3 + 0.1. Put l, 0.11, i in decreasing order.
0.11, l, i
Let x be 305/(-4100) + (-5)/25. Let u = -1/41 - x. Sort u, -4, -6, 3 in increasing order.
-6, -4, u, 3
Suppose -44 = -7*r - 4*r. Suppose -r*u - b = 12, 16 = -2*u + 4*b - 8. Sort u, 4, 1 in descending order.
4, 1, u
Suppose 0 = -18*s + 21*s + 15. Sort 4, -28, -3, s.
-28, s, -3, 4
Let r be (-2)/14 + 180/35. Suppose -i + 4*z = -25, -r*z - 15 - 5 = i. Suppose a = 4*v - 8, -i*a + 2*v - 8 + 22 = 0. Put a, 0.07, 1/4 in descending order.
a, 1/4, 0.07
Let y = -9 + 2. Let w be 4/84 + (-258)/126. Put y, -4, -5, w in increasing order.
y, -5, -4, w
Let i = 199 - 2983/15. Let o = -14 + 6. Let h = 0.15 + 0.05. Put o, i, h in decreasing order.
h, i, o
Let n be -6 + 13 - 0/2. Let f(h) = h**2 - 8*h + 6. Let a be f(n). Suppose 4 - 2 = x. Sort x, a, 0.5 in ascending order.
a, 0.5, x
Let b(a) = 2*a - 4. Let q be b(-4). Let y = -2.5 - -2.3. Put 1/2, y, q in decreasing order.
1/2, y, q
Suppose 0 = -10*a + 6*a - 91*a. Put -0.06, 15, a in ascending order.
-0.06, a, 15
Let q = 483 + -483.1. Sort q, 5/37, 0.5, 0 in decreasing order.
0.5, 5/37, 0, q
Let j = -10 + 13.5. Let i = j - 3. Let k = 18.1 + -13.1. Sort i, k, -2/11 in ascending order.
-2/11, i, k
Suppose 2*b + 91 - 35 = 0. Let j be 1 - (-75)/(-12) - 7/b. Sort -1, 6, 5, j in descending order.
6, 5, -1, j
Let b = -1063/9 - -118. Let a = 0.141 + -3.141. Put a, -0.1, b in increasing order.
a, b, -0.1
Let u be (0 - 2) + 10 + -5. Let q be (6/(-7))/(u/(-14)). Sort -0.6, -0.1, q in ascending order.
-0.6, -0.1, q
Let c be ((-56)/49 + 1)/1. Put c, 2/7, -0.07 in ascending order.
c, -0.07, 2/7
Let n(a) = 14 - 11 + a - 4 - 6. Let g be n(4). Sort g, -13, 5 in ascending order.
-13, g, 5
Let b = -0.01 - 0.39. Put 4/3, -30, b in descending order.
4/3, b, -30
Let j be ((-1)/9*-6)/(2/(-15)). Sort -2, j, -10, 3 in increasing order.
-10, j, -2, 3
Let s be 1/((-351)/297 + (-4)/(-22)). Put 5, -6, s in increasing order.
-6, s, 5
Let n(p) = -3*p**2 + p + 1. Let x be n(-1). Let m be (2 - 0) + -58 + 1. Let c = 58 + m. Sort c, x, -4.
-4, x, c
Suppose 0 = -3*w - 4*q - 19, -4*w + 7 = 5*q + 32. Let k = 4 - 9. Let z be k/20*8/w. Sort z, -1/5, 2/9 in descending order.
z, 2/9, -1/5
Suppose i + 10*i + 77 = 0. Let q(x) = x**2 + 7*x - 3. Let p be q(i). Put -4, p, 5 in increasing order.
-4, p, 5
Let z(t) = -t + 7. Let c be z(6). Let r = c + -31. Let g be (-75)/10*(-3)/r. Put 9/5, -4/7, g in decreasing order.
9/5, -4/7, g
Let m = -35 - -33. Let k = 33 + -31. Sort k, 11, m in decreasing order.
11, k, m
Let z(c) = -19*c + 34. Let x be z(2). Sort x, 3, 26 in descending order.
26, 3, x
Let j be -6*(2 - 17/3). Sort 1, -2, 5, j in decreasing order.
j, 5, 1, -2
Let x = -0.33 - -0.24. Let j = -0.01 + x. Let h = -0.8 + 0.4. Sort j, h, -5 in ascending order.
-5, h, j
Suppose 0 = -0*h - h. Let x be (-2)/(4 + (-9)/2). Suppose 3*j - 12 = x*j - 5*b, 8 = -5*j - b. Put j, h, -1 in descending order.
h, -1, j
Suppose 3*t - t - 10 = 0. Suppose 0 = 4*q - q - 12. Suppose 8 + 12 = -q*v. Sort 3, v, t.
v, 3, t
Let v = 35.24 - 35. Let c = -5.24 + v. Sort 1, 1/2, c in ascending order.
c, 1/2, 1
Let s = 2209 - 2213. Put s, 24, -2 in descending order.
24, -2, s
Suppose -106 = -3*c - j, 0 = -2*c - 4*j - 13 + 77. Let v be 7/((-140)/c) + 2. Sort 7, -5, v, 5.
-5, v, 5, 7
Let k = -0.3 - 0.7. Let b = 3063 + -3058. Put -0.1, k, b in increasing order.
k, -0.1, b
Suppose -4*f - 3*m = -34, -5*f = 5*m + 9 - 49. Suppose -4*h + 3*l = 3, -h - 5*l - f = 8. Put h, 0, 2 in descending order.
2, 0, h
Suppose -o + 25 = -a, 0 = -3*o + 2*a + 70 + 1. Let x be (-35)/(-9 - -4) - 6. Let p be x + 9/o + -1. Sort 0, p, -0.1 in descending order.
p, 0, -0.1
Suppose 3*w - 8*w - 20 = 0. Sort w, 3, 8.
w, 3, 8
Let l = -117 + 135. Let h = -14 + l. Put -35, h, 2/3 in increasing order.
-35, 2/3, h
Let y be (-2 + (-888)/(-435))*(-1 - 1). Let i = -14/29 - y. Sort 13, i, 4, 2 in ascending order.
i, 2, 4, 13
Let v = 14.85 + -15.05. Sort -12, 2/61, v in decreasing order.
2/61, v, -12
Let a be 63/(-14) + 2/(-4) + 3. Sort -1, a, -5 in descending order.
-1, a, -5
Let p = 220 + -216. Put -13, -4, p in decreasing order.
p, -4, -13
Let j be (7 - 0) + (13 - 11). Let z(n) = -n**2 + 10*n - 7. Let u be z(j). Suppose 11*p + 20 = 10*p - 3*d, -5*d = -2*p + 15. Sort u, -3, p in decreasing order.
u, -3, p
Let k = 19 - 36. Let q = 17.4 + k. Put q, 3, 1/2 in decreasing order.
3, 1/2, q
Suppose 61*h = 72*h + 220. Put 8, -4, h in ascending order.
h, -4, 8
Let g = 18.52 + 0.48. Let r = -22 + g. Sort r, -6, 1.
-6, r, 1
Suppose 3*j = 3*q + 9, 9*j = 7*j - 4*q. Sort -2, 1, -1, j.
-2, -1, 1, j
Let s = -0.267 - 0.233. Sort s, -3/32, 4/7 in decreasing order.
4/7, -3/32, s
Suppose -31 = 6*h - 25. Suppose -2 = 2*z + 2. Put h, 2, z in descending order.
2, h, z
Let v = -19 + 25. Let o be (0 - 1)/((-3)/(-6)). Let r = -9 + 11. Put v, r, o in decreasing order.
v, r, o
Let p = 1 + 17. Let n = 17 - p. Sort n, 0.4, -3 in decreasing order.
0.4, n, -3
Let h = 7 + -7. Let g be (9 - (1 + 0)) + (1 - 4). Suppose 0 = 2*i - 5*i - 3. Sort g, i, h in descending order.
g, h, i
Let c = -107.9 - -115. Let q = 2.1 - c. Sort q, 5, 1 in decreasing order.
5, 1, q
Suppose t + p = -14 + 16, t - 4*p = -18. Sort -5, -23, t, -1/5 in ascending order.
-23, -5, t, -1/5
Let r = -93.4 + 93. Sort 0.4, -4, r, 15 in increasing order.
-4, r, 0.4, 15
Let l be (-4)/14 - (-39)/(-84). Let k = -17.5 + 18. Put l, 2, k in increasing order.
l, k, 2
Let d be -2 - (-2 + 2 + -10). Let m be (-8)/20 - (-1)/(-5). Let n = -27/34 + 47/102. Put d, m, n in descending order.
d, n, m
Suppose -w - 5*j - 24 = 0, 12*w - 7*w + 2*j = -28. Sort 0, 1, w in decreasing order.
1, 0, w
Let h(b) = 2*b - 9. Let q be h(7). Let c = 105 - 105.06. Put q, 0.4, c in descending order.
q, 0.4, c
Let w = -95.9 - -96. Sort 0.02, 2, w, -0.5 in descending order.
2, w, 0.02, -0.5
Suppose 2*s + 4*a - 4 = -0*a, 2*s + 5 = 5*a. Let r = 0.059 - 6.059. Sort r, -2/3, s, -3/2 in descending order.
s, -2/3, -3/2, r
Let f = 1 + -5. Suppose 4*t = t + 12. Suppose 0 = 5*x - 5*l - 5, 0*x - t*l = 3*x + 18. Sort x, f, 2 in decreasing order.
2, x, f
Suppose 5 = 60*i - 59*i. Put i, 112, 4 in decreasing order.
112, i, 4
Let s be -1 + 3823/(-10)*-1. Let k = -381 + s. Let a = 0.1 - 0.4. Sort k, -0.2, a in descending order.
k, -0.2, a
Suppose -2*m + 8 = l + 2*m, -4*l + 4*m - 48 = 0. Sort 2, -3, l in descending order.
2, -3, l
Suppose -8*j + 7 = -6*j + 5*r, -5*r + 3 = 3*j. Sort -8, j, 4, 8 in decreasing order.
8, 4, j, -8
Suppose 3 = 2*u - 5*u - 3*s, 0 = -5*u + 3*s + 11. Put 15, 4, u in descending order.
15, 4, u
Let q = 4 + -1. Suppose -p - 1 = -4*j, -q*p - 3*j + 9 = 27. Suppose 0*t + 4 = t. Sort 3, t, p in descending order.
t, 3, p
Let x(d) = 2*d**2 + 3*d + 1. Let i be x(-2). Suppose -9*t + 7*t = 2. Suppose -3*v = -8*v - 35. Put v, t, i in increasing order.
v, t, i
Let l = 10.7 - 10.7. Let x = 1/702 + 4205/4914. Put -1, -1/4, l, x in descending order.
x, l, -1/4, -1
Let y = 687 - 697. Put 5, -2, y, 4 in descending order.
| {
"pile_set_name": "DM Mathematics"
} |
actor g(p).
3*(p - 352)*(p + 1)/7
Let l = 110325/31522 + 1/15761. Let o(z) be the first derivative of z**4 + 8/5*z**5 + 1/2*z**6 - l*z**2 + 6 - 2*z - 2*z**3. Factor o(u).
(u - 1)*(u + 1)**3*(3*u + 2)
Let o(h) = -21*h**3 + 1776*h**2 - 49509*h - 18821. Let n(b) = -11*b**3 + 887*b**2 - 24755*b - 9411. Let z(r) = 10*n(r) - 6*o(r). Let z(j) = 0. What is j?
-3/8, 56
Suppose -5/2*b**4 - 555/2*b**3 - 1095/2*b**2 + 0 - 545/2*b = 0. What is b?
-109, -1, 0
Let z = 1139675/2 + -569836. Determine o, given that -3/2*o**4 + 3*o**2 - 1/2*o**5 - z - 1/2*o + o**3 = 0.
-3, -1, 1
Let u(i) be the third derivative of i**6/150 + i**5/3 + 26*i**4/5 - 3173*i**2. Factor u(c).
4*c*(c + 12)*(c + 13)/5
Let o be (-288 - -287)*3/(-9). Solve 1/3*x**2 - o*x**3 + 4/3*x - 4/3 = 0 for x.
-2, 1, 2
Let q(r) = r**2 - 4*r - 10. Let n be q(7). Suppose n*m - 10 = 6*m. Find d such that 7*d**2 + 8*d**2 - 11*d**m + 12 - 16*d = 0.
1, 3
Let m be 1/((-10)/20)*1/(-2). Let k(f) = 10*f**3 + 2*f**2 - 48*f - 24. Let x(j) = -j**3 - j**2 + 2*j. Let c(a) = m*k(a) + 8*x(a). Factor c(l).
2*(l - 6)*(l + 1)*(l + 2)
Determine r so that 0 - 5/2*r + 1/4*r**2 = 0.
0, 10
Let g be -6 + -1 - 32732/(-1200). Let l = -2/75 + g. Let 27/4*j**2 + 81/4*j + 3/4*j**3 + l = 0. Calculate j.
-3
Let p(o) be the third derivative of o**6/120 - 7*o**5/30 - 4*o**4/3 + 1951*o**2. Factor p(m).
m*(m - 16)*(m + 2)
Let o(i) be the second derivative of i**4/54 - 2*i**3/27 - 65*i**2/3 + 549*i. Factor o(j).
2*(j - 15)*(j + 13)/9
Let n be (-1)/(-1) + 1 + 0. Suppose z + 4*l = 6, -4*z - 3*l - 10 = -73. Suppose -i**2 + 3*i**2 - 2*i - 20 + n*i**2 + z*i = 0. Calculate i.
-5, 1
Let j(t) be the second derivative of -t - 1/4*t**5 - 20*t**2 - 35/12*t**4 + 24 - 35/3*t**3. Suppose j(p) = 0. What is p?
-4, -2, -1
Let q(r) = 16*r**3 + 229*r**2 - 2945*r - 25308. Let o(t) = 5*t**3 + 76*t**2 - 982*t - 8448. Let w(n) = -19*o(n) + 6*q(n). Factor w(c).
(c - 38)**2*(c + 6)
Let t(d) be the second derivative of d**6/120 - d**4/12 - 578*d + 3. Factor t(q).
q**2*(q - 2)*(q + 2)/4
Let 864/5 - 867/5*o + 3/5*o**2 = 0. What is o?
1, 288
Let t be (-1)/(2/6)*(10 + -20). Let b be ((-62)/t + 2)/(19/(-114)). Factor -12/5 - 2*y - b*y**2.
-2*(y + 2)*(y + 3)/5
Let b(h) be the first derivative of 0*h - 2/45*h**3 + 52 + 16/15*h**2. Factor b(o).
-2*o*(o - 16)/15
Let t = -3545 - -3561. Let m(g) be the first derivative of 0*g**2 - t + 5/9*g**3 - 20/3*g. Let m(u) = 0. What is u?
-2, 2
Let i = 6321 + -6321. Let s(p) be the second derivative of -4*p - 1/36*p**4 + i + 0*p**2 - 1/18*p**3. Solve s(y) = 0.
-1, 0
Let w(c) = 4*c - 5. Let s be (4/5)/((-6)/(-15)). Let i be w(s). Find k, given that 0*k**2 - k**2 - i*k + 385 - 387 = 0.
-2, -1
Let j(q) = 12*q**3 - 862*q**2 - 13*q - 13. Let y(a) = a**3 - 3*a**2 - a - 1. Let i(g) = -4*j(g) + 52*y(g). Solve i(d) = 0.
-823, 0
Let u(c) be the third derivative of c**7/42 - c**6/2 - 23*c**5/6 + 205*c**4/2 - 1365*c**3/2 - 500*c**2 + 3*c + 2. Let u(a) = 0. Calculate a.
-7, 3, 13
Let k(s) be the first derivative of 5*s**4/4 + 10*s**3 - 45*s**2/2 - 70*s + 5039. Determine n, given that k(n) = 0.
-7, -1, 2
Factor -150 - 18 + 4*g**2 - 3*g**3 + 13*g**2 + 66*g - 2*g**2.
-3*(g - 7)*(g - 2)*(g + 4)
Determine v so that 100/3*v - 2*v**3 + 0 + 2/3*v**5 - 14/3*v**4 + 110/3*v**2 = 0.
-2, -1, 0, 5
Factor 128*u - 255 - 1/4*u**2.
-(u - 510)*(u - 2)/4
Suppose 3*l - 4*n - 12 = -n, -30 = -5*l - 5*n. Let u(o) be the second derivative of 1/28*o**4 + 0*o**3 + 0 + 0*o**2 + 27*o - 1/140*o**l. Factor u(y).
-y**2*(y - 3)/7
Suppose -2*a - 4410 = -11*a. Let u = -486 + a. Factor 0*m - 6/5*m**3 - 2/5*m**u - 4/5*m**2 + 0.
-2*m**2*(m + 1)*(m + 2)/5
Let i be -4*6/60 + (-17)/(-5). Let x be (9/((-108)/(-32)))/(i/2). Determine g so that -10/9*g**4 + 0*g + 0 - x*g**3 - 2/3*g**2 = 0.
-1, -3/5, 0
Let u(i) = -12*i**2 - 444*i + 990. Let m(w) be the third derivative of w**5/60 + 17*w**4/12 - 38*w**3/3 + w**2 - 8*w. Let n(f) = 27*m(f) + 2*u(f). Factor n(x).
3*(x - 2)*(x + 12)
Let j(k) be the third derivative of k**6/90 - k**5/9 + k**4/3 + k**2 - 175*k. Solve j(c) = 0 for c.
0, 2, 3
Suppose 10*m - 128 = 552. Suppose 0 = -4*f + 6*f + 4*g - 32, m = 5*f + 4*g. Solve 10*l**3 - 10 - l + 15*l**2 - f*l - 2*l = 0.
-2, -1/2, 1
Determine c so that -50*c**5 - 64000 - 57608*c**3 - 149250*c**2 + 281134*c + 29266*c - 2960*c**4 - 203230*c**2 = 0.
-20, 2/5
Let k(c) be the first derivative of -3*c**5/80 - c**4/16 + c**3 + 41*c**2 + 156. Let u(f) be the second derivative of k(f). Determine q so that u(q) = 0.
-2, 4/3
Suppose 4*u - 18 = -10. Let o be 8/(-12)*3 - (-13 - u). Factor -6*r**4 + 6*r**2 + 12*r**3 + 3*r**5 + o*r**4 + 3*r**3 + 5*r**4.
3*r**2*(r + 1)**2*(r + 2)
Factor 99*j - 1/2*j**2 - 197/2.
-(j - 197)*(j - 1)/2
Let r(s) = 5*s**2 - 35*s. Let t(g) = 3132 - 3132 + g. Suppose -v = -8*v - 210. Let q(f) = v*t(f) - r(f). Let q(a) = 0. What is a?
0, 1
Let b(m) be the third derivative of 0*m - 3/2*m**4 + 0*m**3 - 2/5*m**5 + 4/15*m**6 + 0 + 62*m**2 + 4/35*m**7 + 1/84*m**8. Suppose b(j) = 0. What is j?
-3, -1, 0, 1
Let c = 31/39 - 6/13. Let b be -13 + (-3015)/(-225) - (-1)/(-15). Determine d, given that 2/3 + c*d**4 - 1/3*d - d**2 + b*d**3 = 0.
-2, -1, 1
Factor -558 - 2*a**2 + 793 - 3148*a + 1810*a + 1105.
-2*(a - 1)*(a + 670)
Let a(z) be the third derivative of -z**8/1848 - 2*z**7/1155 + 3*z**6/220 + z**5/165 - 2*z**4/33 + 1947*z**2. Find m such that a(m) = 0.
-4, -1, 0, 1, 2
Let s be (-16)/18 - (-4480)/1152. Let v(d) be the third derivative of 2/9*d**s - 2*d**2 + 1/90*d**5 + 0*d - 1/12*d**4 + 0. Determine a so that v(a) = 0.
1, 2
Solve 56*v - 169*v - 270*v**2 + 271*v**2 = 0 for v.
0, 113
Suppose -155*m + 2*f = -156*m + 32, -m - 3*f + 35 = 0. Let h(j) be the second derivative of 0 - 1/3*j**2 + 7/72*j**4 + 1/3*j**3 + m*j. Factor h(n).
(n + 2)*(7*n - 2)/6
Factor 18 - 39/2*c + 0*c**2 + 3/2*c**3.
3*(c - 3)*(c - 1)*(c + 4)/2
Let a(g) be the third derivative of -49*g**7/195 - 2303*g**6/195 - 1288*g**5/65 - 548*g**4/39 - 16*g**3/3 - 604*g**2. Factor a(z).
-2*(z + 26)*(7*z + 2)**3/13
Find b such that -78*b + b**2 + 0 + 79 - 14 - 23 + 110 = 0.
2, 76
Let i(p) = -28*p**4 - 161*p**3 + 444*p**2 + 2740*p - 412. Let z(y) = 56*y**4 + 321*y**3 - 888*y**2 - 5480*y + 828. Let n(u) = -7*i(u) - 3*z(u). Factor n(f).
4*(f - 4)*(f + 5)**2*(7*f - 1)
Let r = -8463 - -8471. Let d(h) be the first derivative of 0*h**3 + 1/3*h**6 + r + 0*h - h**4 + 2/5*h**5 + 0*h**2. Suppose d(a) = 0. What is a?
-2, 0, 1
Let w(d) = -2*d**3 - 53*d**2 + 157*d + 350. Let u be w(-29). Factor 10/11*l**3 - 34/11*l - 4*l**u + 20/11.
2*(l - 5)*(l + 1)*(5*l - 2)/11
Determine z so that -10*z**2 - 22*z**2 - 50*z**2 - z**4 - 4*z**2 - 44*z**3 - z**3 = 0.
-43, -2, 0
Let z = 17330 + -86646/5. Find m, given that m - 3/5*m**3 + 2/5 - z*m**2 = 0.
-2, -1/3, 1
Let -126/19 - 46/19*d - 4/19*d**2 = 0. Calculate d.
-7, -9/2
Find t, given that 834*t**2 - 17970*t**2 - 15497 - 62417*t + 24424 - 366*t**4 + 4776*t**3 + 22433*t + 24001 + 9*t**5 = 0.
-2, 2/3, 14
Let q = 1974/289 + -12951/2023. Solve 3/7 + 0*i - q*i**2 = 0 for i.
-1, 1
Factor 4605/8*k + 3/8*k**3 + 1161/8*k**2 + 3447/8.
3*(k + 1)*(k + 3)*(k + 383)/8
Let g = -357418 + 1072255/3. Factor -4/3*b**2 - 4/3*b + g*b**3 + 16/3.
(b - 4)*(b - 2)*(b + 2)/3
Let d be ((-19 - -19)/(-5))/2. Let l(p) be the second derivative of 21/16*p**4 + 3/5*p**5 - 1/2*p**3 + 3/40*p**6 - 9/2*p**2 + d + 41*p. Let l(g) = 0. What is g?
-3, -2, -1, 2/3
Let y(d) be the third derivative of d**6/30 - 28*d**5/3 + 4757*d**4/6 + 20164*d**3/3 + 2183*d**2 - 2*d. Factor y(l).
4*(l - 71)**2*(l + 2)
Suppose -x + 0*x - 19 = 4*k, 5*k - 2*x + 14 = 0. Let t be (0 + 2)*3 + k. Let g(p) = 2. Let c(z) = z**2 - z + 3. Let f(r) = t*c(r) - 3*g(r). Solve f(a) = 0.
0, 1
Let q(v) = 276*v**3 + 144*v**2 + 888*v + 760. Let j(y) = 208*y**3 + 143*y**2 + 889*y + 759. Let u(h) = -4*j(h) + 3*q(h). Factor u(p).
-4*(p + 1)*(p + 7)*(p + 27)
Solve -194*s + 586*s + 502*s - 99*s**2 + 66*s + 4*s**3 + 283*s**2 = 0 for s.
-40, -6, 0
Let r(x) be the first derivative of -13*x**3/3 + 37*x**2/2 - 30*x - 277. Let c(k) = -37*k**2 + 111*k - 91. Let q(a) = 6*c(a) - 17*r(a). Factor q(p).
-(p - 36)*(p - 1)
Find o, given that 0*o**2 + 230/3*o**4 + 0*o - 2/9*o**3 + 0 = 0.
0, 1/345
Suppose 18*q - 408 = 294. Suppose q*f = 17*f + 66. Find t, given that 0 + 0*t**2 - 1/2*t + 1/2*t**f = 0.
-1, 0, 1
Let n(x) = 6 | {
"pile_set_name": "DM Mathematics"
} |
2. Let t be r(-2). Suppose -6 + t = -2*p. Solve p*c = c for c.
0
Let l be 11*2/(3 - 1). Let i = -7 + l. Suppose 11 = i*j - 5. Solve j - 3 = -z for z.
-1
Let g = -3 + 5. Suppose 0*z + 2*z + 4 = -2*a, 0 = -g*a - 3*z - 6. Solve a*u + 2*u - 6 = 0 for u.
3
Suppose 0 = -0*j + 5*j + 5*q, 0 = -2*j + 2*q. Solve j = -x - 0*x - 2 for x.
-2
Suppose -l + 13 = -2*j, 19 = -5*j + l - 12. Let u be (j + 4)*9/(-2). Suppose u*x = 4*x + 75. Solve -x = t + 2*t for t.
-5
Suppose 0 = -4*z - 3*i + i + 18, -23 = -4*z + 3*i. Solve 0*k - z = k for k.
-5
Suppose -3*s + 8*s - 25 = 0. Solve -s + 3 = -2*o for o.
1
Let y = 91 + -91. Solve y = -3*n + 1 + 2 for n.
1
Let i(a) = -a + 1. Let k(d) = -2*d + 2. Let v(l) = -3*i(l) + 2*k(l). Let g(n) = -n**2 - 8*n + 1. Let w be g(-8). Let u be v(w). Solve u = -0*t - 3*t - 3 for t.
-1
Suppose 8 = 3*a - 2*h, 2 = -2*a + 3*h + 2*h. Suppose -l - a = -2*b, 5*b = -2*l + 21 - 2. Solve u = -b*u for u.
0
Suppose 5*h - 7*o + 10 = -2*o, -3*h = -5*o + 16. Suppose h*b - 9 = 0, 4*m + 0*m - 3 = 3*b. Suppose 5*q - m*q - 10 = 0. Solve -5*k + 10 + q = 0 for k.
3
Suppose -107 = 2*y - 267. Let u be (2/(-4))/((-1)/y). Suppose 3*g + 5*r - u = -15, -r = g - 5. Solve g*d = 5*d for d.
0
Suppose -3*c - 400 = -c. Let y be c/(-24) - (-4)/6. Suppose 0*g + 10 = -2*g, -3*u = 3*g + y. Solve -2*s = 2 + u for s.
-2
Suppose 5*r + 4*t = r, -r + t + 10 = 0. Solve -r*i + 10 = 30 for i.
-4
Let c = 6 + -1. Suppose -2*p - g + 2 = 0, -g + 2 = c*p - 0*g. Solve p = -0*d - d for d.
0
Let t = -2 + 4. Suppose -3 - 15 = -t*n. Solve 0*h + n = -3*h for h.
-3
Suppose -2*m = -23 + 17. Solve -m*z + 8*z = 5 for z.
1
Suppose -i - p + 4 = 0, 0*i + 16 = 5*i + p. Suppose -i*z + 10 = -14. Solve -2*h = z - 0 for h.
-4
Suppose 15 = 4*c - 5. Solve h + c = 6*h for h.
1
Let n be 2/(-6) + 366/18. Solve -6*k + k + n = 0 for k.
4
Let a(r) = r**3 + 6*r**2 - r - 3. Let t be a(-6). Let o be ((112/(-20))/7)/(1/(-5)). Solve -o = t*u + u for u.
-1
Suppose -k - 6 = -2*k. Let t(w) = -w**2 + 6*w + 5. Let r be t(k). Solve 9 = -r*a - 1 for a.
-2
Let m = -22 + 33. Solve 4*t = 1 + m for t.
3
Let p = -24 - -44. Solve -5*y - p = -5 for y.
-3
Let v(q) = 5*q**2 + q + 1. Let l be 1 + (-2 - -2) - 2. Let i be v(l). Suppose t - 12 = -0*t. Solve t + 13 = i*x for x.
5
Let b(t) = 2*t + 6. Let g be b(6). Let q be 176/g - (-2)/9. Suppose u + 0*z = -z + 2, 0 = -u - 5*z + q. Solve -d - d + 2 = u for d.
1
Let t(d) = -d + 23. Let f be t(15). Solve -f*p - 8 = -4*p for p.
-2
Suppose 0 = -y - 2*h, -45 = -5*y - 3*h + 8*h. Solve -5*v = -19 - y for v.
5
Suppose o = 1, -4*q - 5*o + 0*o + 17 = 0. Let c be 4/8*(1 + (-4)/4). Solve y - q*y - 4 = c for y.
-2
Suppose -15*t = -9*t - 18. Solve t*x - 5*x + 4 = 0 for x.
2
Let i be (3/2)/(2/4). Suppose 5*x + g - 7 = 0, -i*g = 5*x + g + 2. Solve 0 = -s + 4 - x for s.
2
Suppose 0 = 3*h, f = 6*f - 5*h - 15. Solve -j - f = -4 for j.
1
Let u(v) = -6*v. Let x(f) = f**2 - f - 3. Let s be x(3). Suppose -16 - 16 = s*g - 5*i, 2*i - 4 = -g. Let w be u(g). Solve 5*r = -w + 9 for r.
-3
Suppose -2*v + 9 = v, 2*d - 5*v = -15. Solve i + 4*i - 25 = d for i.
5
Suppose 0 = -5*w + 6*w - 2. Suppose -4*q + 4*z + 56 = 0, 0 = 5*q - 4*z - 30 - 44. Solve -4*y + q = w for y.
4
Let d be -1 + (2 - (3 - 4)). Solve d*z - z + 1 = 0 for z.
-1
Let w = -3 + 7. Suppose -x + w*x = 15. Suppose -2*f + x*s = -6*f + 8, 0 = 3*s. Solve -f*a + 4 = -a for a.
4
Let k(b) = b - 4. Let o be k(6). Suppose o*t = -2*t. Solve t = -0*g + 5*g - 25 for g.
5
Let n be 2 + (4 - 2) + -3. Let k = n - 1. Solve k = -0*w - 3*w + 6 for w.
2
Let x = 26 - 26. Solve 5*q + 0*q + 15 = x for q.
-3
Suppose 5*x + 5*c = 80, -c + 3 + 1 = 0. Suppose -3*o - g + 17 = 0, -2*o - 4*g = -3*g - x. Let q(h) = -h**2 + 8*h + 2. Let i be q(8). Solve o = z - i*z for z.
-5
Let t(i) = -2*i**2 - 18*i + 12. Let p be t(-9). Solve -2*x - 2 + p = 0 for x.
5
Suppose -5*c = -0*i - i - 33, 4*i - 43 = -5*c. Suppose 0 = -26*u + 25*u + 3. Let b = c - u. Solve 2 = -2*g - b for g.
-3
Suppose 4*t - 24 = 5*u + 15, 0 = 2*t - 4*u - 24. Solve 0 = -2*c - c + t for c.
2
Suppose -v = -2*v + 24. Let b be (7/(-21))/((-2)/v). Solve b*l = -0*l - 12 for l.
-3
Let i = 14 - 9. Suppose 0 = -i*u + 3*u + 8. Solve -u*j - 9 = 7 for j.
-4
Let q = -1 + 4. Let y(x) = -x**2 + 4*x + 1. Let i be y(q). Solve i*h + 1 = -3 for h.
-1
Let g = 7 + -4. Let o = g + 0. Suppose -j = -3, j + 12 = o*u + 5*j. Solve -l - 1 + 2 = u for l.
1
Let a(y) = y**3 - 7*y**2 + 12*y. Let h be a(5). Solve -9*q = -4*q - h for q.
2
Let i = 20 + -20. Solve i*f = -4*f - 12 for f.
-3
Let r = 0 - 0. Let l(z) = z + 4 + 4 + r*z. Let q be l(-6). Solve c - 3 = -q*c for c.
1
Let u(d) = -4*d + 1. Let x be u(4). Let f = 18 + x. Solve 4 + 5 = -f*c for c.
-3
Let h be 80/15 - (-4)/6. Solve 4*u - h*u = 0 for u.
0
Suppose -2*i = u - 3*i + 2, u - 2*i + 5 = 0. Let o = 14 - 10. Solve -o*j = -u + 9 for j.
-2
Let n(h) = h**2 + 4*h - 2. Let y be n(-4). Let b be ((-3)/y)/((-7)/(-14)). Solve k - 4*k - b = 0 for k.
-1
Let o be (-72)/(-7) + (-4)/14. Let f be (3 - 2)/(2/o). Solve f*j = 3*j - 2 for j.
-1
Let b = 14 - 8. Solve -b*y = -y - 10 for y.
2
Suppose 2*h + 4 = 4*h. Suppose -2*j + 27 = 5*m - 43, -5*j - 2*m + 133 = 0. Solve -3*i + j = h*i for i.
5
Suppose 12 = 3*w + w. Suppose -w*g = -18 - 24. Solve g + 1 = -3*n for n.
-5
Let h(l) = -8*l - 1. Let w be h(-1). Let n = w + -5. Let s be (-10)/5*(-3)/n. Solve 15 = s*r - 0*r for r.
5
Let d(a) = a + 16. Let v be d(-14). Suppose -3*l - 5 = 5*s - 18, 0 = -v*l + 5*s - 8. Solve -f + l = -2*f for f.
-1
Let k be ((-12)/(-7))/(6/21). Suppose w = k*w. Solve i + i - 4 = w for i.
2
Let f = 19 + -15. Solve -f*i + 4 = -8*i for i.
-1
Let i = -83 - -86. Solve -4*f - i = -3*f for f.
-3
Let d = 15 + 4. Suppose 5*s = d + 31. Let x = 17 - s. Solve 2 = -5*o + x for o.
1
Let v = 0 - -1. Let g = v - -2. Solve g = -2*s - s for s.
-1
Suppose 28 = 33*c - 26*c. Solve -g - c*g = 15 for g.
-3
Let x be 68/18 - 6/(-27). Suppose 0 = j - x. Solve -5*y = 29 - j for y.
-5
Let k(h) = -h**2 - 3*h + 2. Let m = 4 + -7. Let s be k(m). Let i = s + -2. Solve i*d = -2*d - 4 for d.
-2
Suppose -4*m + 0*s + 17 = -3*s, -m = -4*s - 14. Solve m*u = -0*u + 8 for u.
4
Let p = -18 + 30. Solve -4*g + 0*g - p = 0 for g.
-3
Suppose 13 = -m + c - 2*c, 3*m = 4*c - 46. Let w = 8 + m. Let z = 6 + w. Solve -6*q + q - 10 = z for q.
-2
Let g = -14 + 19. Solve 11 = -g*a + 26 for a.
3
Suppose 2 + 3 = 5*n. Let f be 0/(n + 0/1). Solve 2*x - 10 = -f*x for x.
5
Suppose 0 = 3*u - 8*u. Let f be 1 + -4 + 20/5. Solve u = -s - f - 2 for s.
-3
Suppose -5*b + 5*m + 20 = 0, -3*b + 0*m = -2*m - 8. Suppose 2*l + 4*w - 34 = b, -l - w = -0*l - 13. Let f be 55/15 - 2/3. Solve 3*c - l = -f for c.
2
Suppose 4*c + 76 = 4*j, -5*c = -4*j - 29 + 121. Let m be 2/3 + c/24. Solve m = 3*t - 2*t + 2 for t.
-2
Suppose -3*p - 15 = 5*s, 5*s - 2*p = p - 45. Let a be (-5)/15 + (-2)/s. Let h be (3/2 - 1)*a. Solve -k + h*k + 4 = 0 for k.
4
Suppose -4*c = -3*c - 2. Let d = 0 + c. Suppose d*g = -2*g + 136. Solve 5*f - 9 = -g for f.
-5
Suppose 6 = -5*g + 1. Let y be 0*(-2)/(-4)*g. Suppose -2*r + 0*r + 4 = y. Solve 4*k = r*k - 8 for k.
-4
Suppose 23 = 5*m - 7. Let l(y) = -y**3 + 8*y**2 - 5*y - 8. Let j be l(7). Solve 0 = 3*n - m - j for n.
4
Let l(b) = 4*b**2 + b + 1. Let q be l(-1). Let n = 6 - q. Solve 0 = n*p - 4*p - 4 for p.
-2
Let k = 5 + -3. Suppose -k*x = x - 12. Solve -2*y - 6 = -x*y for y.
3
Let w = -6 - 0. Let s be (1 + -1*4)*1. Let j = s - w. Solve j*h + 10 = 1 for h.
-3
Suppose 0 = w - 3*w. Suppose -4*z = -w*z. Solve z = -5*a + a + 8 for a.
2
Let g = 4 - 1. Solve -4*i = -g*i + 3 for i.
-3
Suppose 5*r = -3*b + 11, -5*r = -2*r + 15. Solve d - 5*d = b for d.
-3
Suppose 0 = -4*k - 4*p + 4, 2*k - 4*k + 2*p - 2 = 0. Let s be 15 + -19 + (3 - -1). Solve k = t - s*t for t.
0
Let k be 2/(-8) + 567/(-36). Let b be (k/12)/((-6)/9). Solve b*u = u - 4 for u.
-4
Suppose 2*t - 3*t = -2. Let w be 2/(3 - (0 + t)). Suppose -10 = 2*d + d - 5*a, -w*d - 2*a = -20. Solve 4 = -d*i - 21 for i.
-5
Suppose -3*y + 6 = 4*c, -11*c + 16 = -9*c - 5*y. Solve c = -w + 1 for w.
-2
Suppose 2*z + 4*r - 11 - 15 = 0, 3*z - 3*r = 3. Suppose -2*y + y = -5. Solve 0 = z*n + y for n.
-1
Let q be -1 + 0 - (-2 + -2). Suppose 2 = 5*m - q. Let i be 10/(m + (-1)/2). Solve 0 = 4*o + o - i for o.
4
Suppose 134 = 4*h + 6. Suppose -3*j = -7*j + h. Let t = -8 - -11. So | {
"pile_set_name": "DM Mathematics"
} |
e in h, s, d?
d
Let t = 343 - 348. Which is the third smallest value? (a) -4 (b) 0.3 (c) 2/11 (d) t
c
Let x = -24 + 24.4. Let p = -2.2 + 2.7. Which is the smallest value? (a) x (b) 3/4 (c) p
a
Let x = -2.7 - -13.7. Let l = 12 - x. Let w = 2 - l. What is the third smallest value in -5, 0.4, w?
w
Let l = -2 - 6. Let u be 1 - (2/(-1) - 15). Let p = 35/2 - u. What is the smallest value in p, -0.4, l?
l
Let s = 0.1 - 0. Let a = -1.0317 + 0.9717. What is the second smallest value in -2, 0.2, s, a?
a
Let h = 132 - 134. Let v = 0.8 + -0.4. Let b = 3 - 4. What is the smallest value in v, h, b?
h
Suppose -p + 947 - 918 = 0. What is the fourth biggest value in 3/8, -5, p, 9?
-5
Suppose 2*p + 3 = z - 6*z, -3*p - 3*z = 0. Let u = 1/29 - 67/261. Which is the second smallest value? (a) p (b) u (c) -2/3 (d) 3/7
b
Let z = -487 - -487. Which is the third smallest value? (a) -5 (b) z (c) 32
c
Suppose -7*o = -2*o + 315. Let c be 1 - (-1 - -1) - o/(-42). What is the second biggest value in c, 1/9, 1, 0.2?
0.2
Let k = -13.99 - 0.01. Let v = -14.5 - k. Let o = -7 - -2. What is the second smallest value in o, -2/7, v?
v
Let b = 5.176 - 0.176. What is the third smallest value in b, -3, -2, -1/4?
-1/4
Let h = -77 - -75. What is the third smallest value in 4, 0.3, -4/15, h?
0.3
Let v(t) = t**2 + 144. Let l be v(0). Let h be 1 - 0 - (-132)/l. Let z = h - 5/3. Which is the smallest value? (a) 2 (b) 0.3 (c) z
c
Let v = 59/3 - 20. Suppose n - 8 + 9 = 0. Which is the second smallest value? (a) v (b) n (c) -1.4
b
Let y = 46 - 21. Let l = 89/14 + -216/7. Let r = y + l. Which is the third smallest value? (a) 1/3 (b) -0.1 (c) r
c
Suppose -4*g = -2*g + 8. Let y be (-9 + 12)/(1/(-9)). Let o = -25 - y. What is the third biggest value in o, g, -2/9?
g
Let o = 7 - -38. Let w = -45.1 + o. Let m be (6/(-81))/((-2)/(-12)). What is the second biggest value in m, w, -0.4?
-0.4
Let s(i) = -i**3 + 2*i**2 - 1. Let q be s(1). Let k = 45.862 - 46. Let n = 0.038 + k. Which is the second smallest value? (a) q (b) 3 (c) n
a
Let q = -1.66 + 0.66. Suppose -5*z + 1041 = 201. Let g be ((-1)/(-4))/((-98)/z). Which is the biggest value? (a) -4 (b) q (c) g
c
Let z = 4.5 - 4.9. Let f be (-1)/(-12) + 6/(-48)*6. What is the second biggest value in -1/13, z, f?
z
Let z = -1.03 - 47.97. Let i = z + 54. Which is the fourth smallest value? (a) -2/7 (b) 0.1 (c) i (d) -1/5
c
Let j = -7 - -12. Let u = -40 + 42. Let x be 0 - (85/(-35) + u). Which is the second biggest value? (a) x (b) -0.1 (c) j
a
Let m = -11 - -6. Let g = 35 - 27. Suppose 0 = -g*o - 3 - 21. What is the biggest value in 3, m, o?
3
Suppose 2*v - 3*v - 4*s = 6, -2*v - 3*s = -3. Let o be 9/(-6)*v/(-4). Which is the second smallest value? (a) -5 (b) o (c) 0
c
Let q = 931 + -931.557. Let r = q + 0.057. Which is the fourth biggest value? (a) r (b) -1 (c) -0.1 (d) -2
d
Let y = 9 + -8.76. Let h = y + -0.04. Let v = -4.047 - -0.047. Which is the biggest value? (a) 0.13 (b) h (c) v
b
Let v be (-5 - -2)/((-45)/10). Let q = 241 - 243. Which is the third biggest value? (a) v (b) q (c) -0.06 (d) 3
c
Let g = -3.369 - -0.069. Let s = 6.3 + g. Which is the biggest value? (a) 5 (b) -0.08 (c) s
a
Suppose -3*d + 26 = -7. Suppose 4*o + 15 - d = 0. Let q = -28 + 335/12. Which is the third biggest value? (a) q (b) 0.4 (c) o
c
Let g = 15944/1351 + -72/193. Let m = g - 414/35. Let o = 2 - 3/2. Which is the smallest value? (a) o (b) 3 (c) m
c
Suppose -3*r + 135 = 39. Let i = 30 - r. Which is the third smallest value? (a) -2/23 (b) i (c) 4
c
Let v = -1744/21 - -376/7. What is the second smallest value in -1, v, -5?
-5
Let g be (2/(-15))/(18/(-30)). Which is the second biggest value? (a) g (b) 1/5 (c) 0.02
b
Suppose 72*s = 74*s + 8. Which is the third biggest value? (a) 2 (b) 1 (c) s
c
Let l = -9 + 8.9. Let q(d) = d + 17. Let n = 26 - 41. Let f be q(n). Which is the third biggest value? (a) 0 (b) l (c) f
b
Let f = -3.262 - -0.262. Let o = -3.4 + 4. What is the biggest value in -2, o, f?
o
Let j(n) = -n**3 - 22*n**2 + 23*n + 3. Let i be j(-23). Which is the fourth smallest value? (a) i (b) 0.4 (c) -20 (d) -3
a
Let o = -12 - -12.6. Let d = o + -0.7. Let j = d + 0.2. What is the third smallest value in -3, -5, j?
j
Let p = 41.75 + -4.85. Let u = p + -37. What is the second smallest value in -0.5, 5, -4, u?
-0.5
Suppose -2*p - 4*u - 20 = 0, 0 = -2*p + 7*p + 4*u + 26. Let g be (p - 1)*22/(-231). What is the biggest value in g, 0.5, 1?
1
Let r = 1 - 0.8. Let q = -99 + 498/5. Which is the biggest value? (a) q (b) -2 (c) r
a
Let k = -38/165 + 1/33. Which is the second biggest value? (a) 3 (b) k (c) 13
a
Let h = 86 + -691/8. Let t = -36 - -48. Let u = -15 + t. Which is the biggest value? (a) -0.5 (b) u (c) h
c
Suppose -20 = -2*q - 3*q. Suppose 34 - 42 = q*d. What is the third biggest value in d, -0.1, 1/21?
d
Let q = 4.7 - 0.7. Let t = -3114.7 - -3115. Which is the smallest value? (a) q (b) -0.06 (c) t
b
Let s = -60.05 - -69.701. Let q = s + 0.049. Let g = 10 - q. Which is the biggest value? (a) 4 (b) g (c) 2
a
Suppose v = -0*v. Let z = -1109/7293 - 1/561. Which is the smallest value? (a) 0.3 (b) v (c) z
c
Let d = -7 + 6.4. Let v = -3.4 + d. Let u be (3 + (2 - 0))*-1. What is the second biggest value in u, 2/9, v?
v
Let d(r) = -6*r - 28. Let s be d(-3). What is the biggest value in 2/7, s, 3/2, -2?
3/2
Let f be (2/(-6))/((-10)/(-40)). Let k = 8 + -16. Let l = 1.5 - -2.5. What is the third biggest value in f, l, k?
k
Let j = -124/903 + 10/43. Let w be (1 + 3)*(-14 + 11726/836). Which is the smallest value? (a) j (b) 0.2 (c) 2 (d) w
a
Let w = 7 - 5. Let y = -6.63 + 6.23. What is the second biggest value in w, y, 3?
w
Suppose 3*w - 12 = -w. Suppose -4*i + 3 = 5*y, -w*i - y = -3 - 2. Which is the second biggest value? (a) 0 (b) i (c) 0.4
c
Let g = -0.815 + -0.185. Which is the second smallest value? (a) -2/11 (b) g (c) -2/13 (d) 1/3
a
Let s = -5.189 + -0.011. Let u(h) = h**3 - 22*h - 189. Let q be u(7). Which is the third biggest value? (a) 0.1 (b) q (c) s
c
Let u = 1137.5 - 1138. What is the fourth smallest value in -80, 2/13, 2, u?
2
Let u = -1246.3 - -1246. Let y be (-2)/3 - 17/(-3). Which is the fourth biggest value? (a) -5 (b) 0.3 (c) u (d) y
a
Let o = -5.1 - 1.5. Let w = o - -7. What is the fourth biggest value in w, -0.3, -2, 1?
-2
Suppose 3*a = 2*a - k + 6, 4*a - 2*k - 6 = 0. Let w = 0.21 + 0.25. Let h = -2.46 + w. What is the second biggest value in a, -0.2, h?
-0.2
Let n = 0.1 + 0.55. Let u = 0.05 + n. Let r = 0.3 + u. Which is the third biggest value? (a) 0.3 (b) 3/4 (c) r
a
Let t = 0.12 + 0.18. Which is the third biggest value? (a) -5 (b) t (c) -2
a
Suppose -33*a = -5*a - 28. What is the fourth smallest value in -11/4, a, -0.2, -2/5?
a
Let c be 3/8*(-24)/2. Let l = -415 - -417. What is the third biggest value in c, l, 3?
c
Let t = -4 + 8. Let v be 1/(t/2)*-53. Let m = v + 27. Which is the second smallest value? (a) m (b) 1/4 (c) -4
b
Let w = 1579 + -1577. Let n be (-3)/2*(-8)/(-102). What is the third biggest value in n, 2/17, -0.1, w?
-0.1
Let i = -297 + 297.5. What is the third smallest value in -3.5, 1, i, -0.2?
i
Let j be 10/4*72/300. Let m = -1.79 + -0.21. Let y be -1 + -1 + 48/30. What is the biggest value in j, m, y?
j
Let t = -2.172 - -0.172. What is the third smallest value in t, 0, 1/7?
1/7
Let u(l) = 2*l**2 - 10*l + 5. Let p be u(0). Which is the second smallest value? (a) p (b) -0.1 (c) 2 (d) -10
b
Let t be (-3)/(-9) - 0 - 11/15. Let n = -22.3 - -22. Which is the biggest value? (a) t (b) n (c) 1 (d) -0.5
c
Let p be 19/114 - 35/(-6). What is the second biggest value in 3/2, 0.1, p, 2/9?
3/2
Suppose -29*t + 3 = -28*t + m, -t + 5*m - 15 = 0. What is the smallest value in 2/3, t, 1/4, -3?
-3
Let c be (-2)/(-23) + (-1276)/(-667). What is the biggest value in 1, c, -81?
c
Let g be ((-276)/144 - 5/(-20))*3. Which is the third smallest value? (a) 3 (b) g (c) -3 (d) 5
a
Let z = -1.06 - -26.06. Let c = -25.1 + z. What is the second smallest value in c, -1/2, -22?
-1/2
Let h = -5719/2 + 2934. Let j = 76 - h. Let c(d) = d**2 + 2*d - 2. Let i be c(-2). What is the third biggest value in -5, j, i?
-5
Let k = -71 - -202. Let f = 131.3 - k. Whic | {
"pile_set_name": "DM Mathematics"
} |
value in n, 2, 3, w?
3
Suppose -260 = -3*c - 2*c. Suppose 0 = -3*p - 3*x - 96, 4*x - c = 2*p - 0*p. Let v be -2*(0 + 3/p). What is the second smallest value in -4, 4, v?
v
Let i be 7/28*-42*2. Which is the third biggest value? (a) i (b) 4 (c) 4/7
a
Let y = -1/10 + -7/30. Suppose 0 = g + 2*g + 5*d + 18, 0 = -3*g + 4*d + 9. Let j be ((-1)/g)/((-4)/3). Which is the smallest value? (a) 4 (b) y (c) j
c
Suppose 20*t = 23*t - 33. Let g be (t - 10) + 3/1. Which is the second smallest value? (a) g (b) -2/9 (c) 2/9
c
Let j = -148 - -439/3. What is the second biggest value in 0.5, 60, j?
0.5
Let w = -0.37 + 0.374. Let x = w - 5.004. What is the biggest value in -1, x, 5?
5
Let k = -269/530 - -2/265. Which is the third smallest value? (a) 2.2 (b) 3/13 (c) k
a
Let x = 0.8 - 1. Let w = -54.98 - -55. Which is the biggest value? (a) -2/3 (b) x (c) w
c
Let l = -0.1 + 0. Let b = 648 - 647.9. What is the biggest value in -0.5, l, b?
b
Let v = 1394 + -1394.2. Let s = 1 + -2. Which is the fourth smallest value? (a) v (b) 4/3 (c) s (d) -4
b
Let q = -0.09 - -0.03. Let v = -782 - -780. Which is the smallest value? (a) v (b) q (c) -3 (d) 9
c
Suppose -2*u + 11 = 2*h - 1, h + 26 = 3*u. Suppose -4*l = -u, l - 10 = -2*n - 2*l. Which is the third smallest value? (a) 5 (b) n (c) 0
a
Let z = -0.24 - 0.16. Let k = -9 + 6. What is the second biggest value in z, k, -1/3?
z
Let y = 397 + -397.1. Which is the third smallest value? (a) 0 (b) -2 (c) y (d) 32
a
Let v = -0.0108 + 1.6108. Let n = -1.5 + 1. Which is the smallest value? (a) 3 (b) -2/11 (c) n (d) v
c
Suppose 0 = c + c - 26. Suppose -4*z - c = -2*n - 3, -5*z + 5*n = 25. What is the second biggest value in z, -3, -1?
-1
Suppose -4*w + 20 = w. Let n be 120/198 + 2/(-3). Let f = 0.873 - 0.773. Which is the second biggest value? (a) f (b) w (c) n
a
Let o be (2/(-6))/(40/(-96)). Let h be 1/(-5)*1/1. What is the biggest value in -0.01, h, o?
o
Suppose 0 = -334*q + 335*q + 5. Let n = -4 + 3.6. Which is the third smallest value? (a) -4 (b) q (c) n
c
Let r = -388 - -389. Let x = -0.45 + -0.05. Which is the biggest value? (a) r (b) 0.4 (c) x
a
Let y = 2.9423 - -0.0577. Let i = -13 - -12.4. Which is the smallest value? (a) -0.1 (b) i (c) y
b
Let z = -13.9 - -2.9. Let s = z - -10.3. Let t = 0.2 + s. Which is the third biggest value? (a) -2 (b) -1/5 (c) t
a
Let u = 40 + -34. Suppose 10*m + u = 4*m. Which is the third biggest value? (a) 6 (b) -2/9 (c) m
c
Let w = -2 - -2.04. Let o = w + 9.96. Let p = o + -6. What is the third biggest value in p, -3, -2/11?
-3
Let n = 5.08 + -5.4. Let h = 0.3 + n. Which is the second smallest value? (a) -3/7 (b) -0.5 (c) -1 (d) h
b
Let u = 566 + -570. What is the third smallest value in u, -76, 3/7, 1?
3/7
Let r be (-4)/(-5)*5/(-3). Let y be 6/16*(-110)/(-15). Which is the smallest value? (a) y (b) 0.5 (c) 1 (d) r
d
Let a = 6697/11 - 609. What is the second smallest value in 2, a, 0.52?
0.52
Let g = 1.5 + -1.9. What is the second smallest value in -4/9, -2, g, 0.05?
-4/9
Let t = 1839 - 1838. Which is the second biggest value? (a) -0.8 (b) t (c) -3
a
Let q = -49 + 49.1. What is the second biggest value in -64, -0.5, q?
-0.5
Let n = -2049 + 2043. Which is the second biggest value? (a) -1 (b) n (c) 21 (d) 0.5
d
Let h = -2759 + 5521/2. What is the biggest value in -25/3, h, 0.04, -3/4?
h
Let q be (-209)/(-484) + (-4 - (-45)/12). Let l = 16874/37 + -456. What is the third biggest value in -4, -5, q, l?
-4
Let i = -2.3 - -7.3. Let n = 202 + -201. What is the second smallest value in i, -0.3, n, 4?
n
Let r = 1455 + -1444. What is the biggest value in 0.2, r, -1.2?
r
Let t = -4663/15 - -311. What is the smallest value in t, -0.1, 0.5, 0.1?
-0.1
Let o = -11.6 + -68.4. Let l = 80.3 + o. What is the second biggest value in l, -1, 1?
l
Let f = -0.51 + -0.39. Let w = 0.6 + f. Let k = 18/7 - 83/35. What is the smallest value in 2/5, w, k?
w
Let u be (-2)/(-10) + (-36)/30. Let m be 36/(-54)*((-4)/2 + u). Which is the third smallest value? (a) -4 (b) 5 (c) m
b
Let o = 0.103 - -41.897. Let q = o + -42. What is the fourth biggest value in -0.2, q, 0.1, 2?
-0.2
Let a = -15/11 + 56/33. Let u be (-2)/(1/(0 - -4)). Let k be ((-4)/8)/(-1)*u. What is the second smallest value in -5, a, k?
k
Let r = 2.602 - -0.398. Which is the biggest value? (a) 2/9 (b) -15 (c) r (d) -2
c
Let w = 427 - 1709/4. Let q = 0.19 + 0.21. Which is the biggest value? (a) -2 (b) w (c) 3/10 (d) q
d
Let l be -1*(-24)/(-10) + 19 + -17. Let n = 1.17 + -0.76. Let t = n + -0.01. What is the second biggest value in -4, t, l?
l
Let g be 3008/30 + (-5)/(-15). Let p = g + -101. What is the third biggest value in p, 3, -1/8?
p
Suppose -3*g + 9 = -h, -5*g + 5*h + 7 = -8. Let n = 850 + -855. Which is the smallest value? (a) -1/4 (b) g (c) n (d) 0.09
c
Let r = 1.349 + -4.449. What is the third biggest value in -3, 1, -1/6, r?
-3
Let m = -3 - -2. Let x = -4 - -5. Let p = 0.94 - 0.96. Which is the biggest value? (a) p (b) x (c) m
b
Let l = -37/3 - -12. Let r = 2.72 - 2.22. What is the second smallest value in r, 0.1, l, 19?
0.1
Let s be 145/25 + (-1)/(-5). Let a be s/(-1572)*8/10. Let i = a + 526/655. What is the third smallest value in i, 0.4, -0.5?
i
Let l be ((-1020)/55)/3 + 6. Which is the second smallest value? (a) -2/9 (b) -0.4 (c) -24 (d) l
b
Let s = 0.2 - -0.6. Let y = 1.8 - s. Let z = 8.7 + -9. Which is the third smallest value? (a) y (b) -4 (c) z
a
Let x = 0.1529 - 0.0529. Let o = 0.1 + -0.2. What is the fourth biggest value in x, -2/9, -0.5, o?
-0.5
Let r = -7.99 - -8. Suppose 0 = -5*q - 5*o - 5, 3*q = -0*q - 4*o. What is the second smallest value in r, q, -1/3?
-1/3
Let o = 146.2 - 146.22. Which is the fourth smallest value? (a) 72 (b) o (c) 3/7 (d) 1
a
Let p = 0.81 - 60.81. Let h = -60 - p. Which is the second smallest value? (a) 0.2 (b) h (c) 2/7 (d) -0.2
b
Suppose -3*h + 12 = 3*x, -7*x + 4 = -4*x + h. Suppose 4*l - 4 = -0*l. Which is the third smallest value? (a) 1/2 (b) -5 (c) x (d) l
a
Let q = -23/5 + 284/65. Let n = -3076 + 3080. Let f = 496/1215 + -2/243. What is the biggest value in f, n, q?
n
Let g be (68/612)/((-2)/12). Which is the biggest value? (a) 1 (b) g (c) -5 (d) 5/3
d
Let k = 98 + -102. Which is the third biggest value? (a) -1 (b) k (c) 10 (d) 2
a
Let g be ((-6)/(-189))/(2/6). Let v = -1592 + 1593. What is the third smallest value in 2/3, v, 2, g?
v
Let s = -19.977 - 0.023. Let v = -701 - -710. Let y = s + v. What is the smallest value in -0.4, 0.1, y?
y
Let u = -4.75 - -6.75. Which is the smallest value? (a) -0.1 (b) -2/11 (c) -2/5 (d) u
c
Let w = -557 - -556.6. What is the third smallest value in -0.1, w, 0.09?
0.09
Let s be (-2)/(-5)*30/32. Suppose -20 = 4*x, -3*l = -6*l - 2*x + 2. What is the smallest value in l, s, -5?
-5
Let h = 1242 - 1241.7. Let g = 0 + -0.4. Which is the third smallest value? (a) h (b) 2/3 (c) g
b
Let d = 22.3 + -20. Let j = 2.3 + -3. Let f = d - j. What is the smallest value in 0.5, -2, f?
-2
Let f = -900 - -899.6. Which is the biggest value? (a) -0.14 (b) f (c) -0.2
a
Let l = -88/17 - -1286/255. What is the biggest value in -4, -2, l?
l
Let r = 5 + -2. Suppose -r*x = x. Let z = -3.67 + 3.77. Which is the second smallest value? (a) z (b) -4 (c) x
c
Suppose -3*g + 2*i - 449 = 0, 218 + 542 = -5*g + i. What is the third smallest value in -2/9, g, -2/5?
-2/9
Let o = -176 - -35. Let q = 145 + o. Which is the third smallest value? (a) -2/13 (b) q (c) -5/7
b
Let z = 5 - 8. Let f = 0 + z. Let v = -7 + 12. What is the third biggest value in f, 1/6, v?
f
Let k = 738.1 - 735. Which is the smallest value? (a) 4 (b) 0.2 (c) k
b
Let f be 63/(-9)*(-2)/7. Suppose -h - 4*h = -f*d - 155, -2*h - 5*d + 33 = 0. Let u = h - 59/2. Which is the second biggest value? (a) -1 (b) u (c) -2/17
b
Let j = 0 + -2. Let s be (-6)/8 - 2 - -2. Let y = 0.42 + 2.58. What is the third smallest value in s, j, y?
y
Let p = 1313 - 1317. Which is the fourth biggest value? (a) 0.5 (b) p (c) -13 (d) -6
c
Let h = 5.361 + -0.061. Let u = h + -6. Let q = u - -3.7. Which is the smallest value? (a) -0.2 (b) -2/5 (c) q
b
Let f = -2387 - -2392. Let o = -153/91 + 20/13. Which is the second smallest value? (a) 1/2 (b) o | {
"pile_set_name": "DM Mathematics"
} |
9041
-89041.2
What is -4.6 minus -0.03977?
-4.56023
What is the distance between 0.1086759 and 0.02?
0.0886759
What is 4 - 163?
-159
Subtract 2029 from 0.4.
-2028.6
Subtract 8 from 0.051.
-7.949
Calculate -408 - -0.9.
-407.1
-515+5
-510
Calculate -12380 + -2.
-12382
Work out 37655.3 - -4.
37659.3
Sum -35 and -0.39592.
-35.39592
55+1.16
56.16
What is 0.2 take away -267?
267.2
Put together -0.023942 and -0.5.
-0.523942
Put together -3172 and -2.
-3174
Work out -0.220781 + 1.
0.779219
-76 + -9204
-9280
31810 - -59
31869
-0.2381 - 0.22
-0.4581
What is the difference between 0.2 and -661?
661.2
20.8+-2
18.8
Subtract 0.38 from 1.8839.
1.5039
What is the distance between -0.496729 and 0.08?
0.576729
Add together -2 and 197.5.
195.5
22.5+0
22.5
What is the difference between 15.13 and -0.2?
15.33
-188 - -0.0307
-187.9693
Total of 103646 and 0.4.
103646.4
Subtract 15 from -3250.
-3265
Subtract -51 from -2138.2.
-2087.2
What is 0 take away 0.125?
-0.125
Work out 22 + -218131.
-218109
Put together 79029 and -0.5.
79028.5
-35.5+270
234.5
Calculate -33 - -0.313.
-32.687
What is -0.0545623 plus 0.6?
0.5454377
What is the distance between -0.4 and 1252.28?
1252.68
Calculate -0.4 + -968.
-968.4
Work out -12.789 - 5.
-17.789
Work out -0.06281 - 1.
-1.06281
What is 1641 less than -0.14?
-1641.14
What is -0.1247 + -3.7?
-3.8247
What is 0.2874 less than 0.09?
-0.1974
Calculate -0.008 + 0.23.
0.222
Add 1.0561 and -56.
-54.9439
Work out 0.2 + -26382.4.
-26382.2
Work out -8 - 15.
-23
561+6.1
567.1
Calculate -62 + 17052.
16990
Work out 0.047 - 1.79.
-1.743
Calculate -39 - -3287.
3248
Total of 1188 and 1.
1189
Work out -54 - -0.3.
-53.7
Sum -0.1 and -693436.
-693436.1
What is -1056 less than 0.09?
1056.09
Calculate 0.3 + 0.2697.
0.5697
Work out 3.43 - 7232.
-7228.57
Work out -3 - 311.245.
-314.245
Work out 4 - 42.8.
-38.8
Subtract 5 from 1.806.
-3.194
3 - 2361.86
-2358.86
What is 6010 - -0.1475?
6010.1475
What is -0.312 less than -976?
-975.688
Sum 2 and 11687.
11689
What is -1 + -34803?
-34804
0.5 - -98327
98327.5
What is -104 less than 41?
145
What is -4 take away 168.553?
-172.553
What is -2492 plus 0.3?
-2491.7
Total of -13.4742 and 38.
24.5258
What is the difference between -717 and 0?
717
What is 8 + -5.1?
2.9
Put together -99.58 and 1.
-98.58
Total of -3 and 702.3.
699.3
Calculate 0.01436 - 0.124.
-0.10964
Put together -30 and 1397.
1367
Work out -14642 - 16.
-14658
Sum 811 and -707.
104
Subtract 15.7 from -0.7791.
-16.4791
-728 + -2
-730
What is 2.11904 - 0.3?
1.81904
Put together 0.1451 and -1.
-0.8549
-2168+33
-2135
What is the distance between -7 and 49199?
49206
What is -0.021 less than 90?
90.021
Work out -140 + 0.
-140
What is -0.008 - 12581?
-12581.008
Calculate -222.138 - -0.2.
-221.938
What is -3 + -0.4523?
-3.4523
What is -0.67 - -3442?
3441.33
Add together 175 and 0.0723.
175.0723
Add together -0.08 and -326.
-326.08
Add -328 and 0.
-328
Total of 8799 and -0.1.
8798.9
What is 0.05 less than -1009?
-1009.05
What is the distance between 149 and 176?
27
What is -65 plus -213?
-278
What is -0.5 less than 4.3?
4.8
Work out -5 + -2.47.
-7.47
What is 299 + 0.031?
299.031
What is 137.4 + -0.015?
137.385
Calculate 46 - 0.068.
45.932
What is -238928 - -0.1?
-238927.9
Add -5.2539 and -0.1.
-5.3539
Work out -41286.3 - -0.4.
-41285.9
What is -0.2 take away 3389?
-3389.2
Calculate -138 - -329.
191
Calculate 1786 - -18.
1804
Total of -0.02 and 1.64182.
1.62182
-57 - -51
-6
What is -1.0765 minus 0.28?
-1.3565
What is 12 - -0.0182?
12.0182
1.1438 - 0.3
0.8438
-2+92994
92992
Calculate 4686 - 0.3.
4685.7
What is -9442.8 + -0.04?
-9442.84
Add 0.5 and -19.777.
-19.277
Calculate -15 - 1.131.
-16.131
Calculate 189 - 289.
-100
Sum 7236901 and 1.
7236902
What is 3 minus 36289?
-36286
What is 617 + 5?
622
Work out -2 - -0.566779.
-1.433221
Add together 752 and -1.7.
750.3
Put together 0.0166 and -135.
-134.9834
Work out 0.15 - 238.
-237.85
Sum -3.71 and 57.
53.29
What is 0.07 + -68.2?
-68.13
Total of -23 and 35.
12
What is 0.7 - 1469?
-1468.3
Work out -736641 - -0.02.
-736640.98
Calculate 12.4 + -0.23.
12.17
Calculate 7216 + -0.43.
7215.57
Calculate 75.76 + -53.
22.76
Add 224 and -24.
200
What is -36 take away 207?
-243
Calculate -0.3 + 8623.
8622.7
Add together -818253 and -2.
-818255
Calculate 0.012 - 18.
-17.988
Work out -2659959 - -0.1.
-2659958.9
What is 122 take away -2406?
2528
Calculate 2.1 - -0.03563.
2.13563
Subtract 2 from 0.01631.
-1.98369
Calculate -0.04 - 55.641.
-55.681
1.7+-12029
-12027.3
What is -7600 + -390?
-7990
What is 0.276 plus -0.2?
0.076
What is the difference between 17587.18 and 0.3?
17586.88
What is 13.3 plus -54?
-40.7
Calculate -0.064561 - -5.
4.935439
What is -11690 - 0?
-11690
13705 + 0.4
13705.4
What is 11.88 + -0.13?
11.75
Add together 1.5 and 1790.2.
1791.7
What is the difference between -1584.22 and -2?
1582.22
What is -4308 take away 6?
-4314
What is -9.211 minus -3?
-6.211
Add -10 and -25714.
-25724
Work out -526 - -1.342.
-524.658
Put together -12391 and -5.
-12396
What is -0.02 take away 0.064?
-0.084
Calculate -203523 - 0.
-203523
Calculate 1 + -4441.
-4440
-4 - 5981
-5985
Put together -2.5775 and -0.4.
-2.9775
What is -2961 take away -0.5?
-2960.5
Work out 0.3 + 23624.
23624.3
0.0413 + 0.4
0.4413
Add -2696 and -0.01.
-2696.01
What is 9 take away 117.61?
-108.61
What is 1462 + 0.5?
1462.5
6.1 - 9
-2.9
What is -0.48 less than -67?
-66.52
0.07 + 7027
7027.07
Sum 35.93 and -23.
12.93
What is 15922 less than 0.1?
-15921.9
0.1 + -10338
-10337.9
What is -6 - 209614?
-209620
Work out 458 - -39.105.
497.105
Add 1 and -0.162.
0.838
Work out -0.06995 - 7.
-7.06995
What is 1.4 minus -2392.2?
2393.6
Add 8062 and 0.13.
8062.13
Work out -0.1333 + -5.4.
-5.5333
Calculate -0.033 + -0.3.
-0.333
Calculate -0.2 + -103.
-103.2
Total of 72.3 and -2.1.
70.2
What is -0.9 take away -10.052?
9.152
What is -1118 - -0.04?
-1117.96
What is -0.11 + -2659?
-2659.11
20250 + -3
20247
Add -0.0564 and -330.
-330.0564
Sum 2059 and -240.
1819
-0.3 - 1200
-1200.3
Sum 4855 and -87.
4768
Calculate -9085.3 - 0.
-9085.3
Total of -73.1 and 0.077.
-73.023
-227.4+0.0006
-227.3994
Work out 4.2041 + -1.8.
2.4041
What is -0.1 less than 4.08?
4.18
Add -20 and -294.
-314
What is 0.6 less than -43446?
-43446.6
Subtract -45 from -450.
-405
Add together 5.699 and 0.02.
5.719
-224.1 - 2
-226.1
Sum -396811 and 0.1.
-396810.9
Put together -2.411 and -0.18.
-2.591
What is -56 plus 51279?
51223
What is -0.002 less than 10?
10.002
Calculate 949.1 - 2.
947.1
What is 0.5126 plus 1.4?
1.9126
4815+-4
4811
What is the difference between 4.44 and 1.1?
3.34
Total of 0.68 and -0.04.
0.64
Sum 5224 and 4.
5228
Add together 22 and -4093.
-4071
What is 1.38 - -3?
4.38
0.05431 + -2.84
-2.78569
What is the distance between -484 and 39.02?
523.02
What is 5 + -0.158872?
4.841128
What is the distance between 1982 and 542?
1440
Subtract 0.1824589 from 0.
-0.1824589
What is -1402 + 0.2?
-1401.8
Calculate -5 + -96.
-101
What is the distance between 8.622 and -3?
11.622
0.3 - 226
-225.7
Calculate 11033 + 0.25.
11033.25
Work out 35 - 1276.
-1241
Work out 1.563 - -5.
6.563
Calculate -3 + -1.20919.
-4.20919
What is the difference between -0.06 and 59588?
59588.06
What is the distance between 102 and 1?
101
Add -255.09 and 70.
-185.09
Put together 7.71 and 0.14.
7.85
What is 2 minus 0.08066?
1.91934
Add -4 and -5232.
-5236
What is -2 minus 1128?
-1130
What is 32845 plus -0.1?
32844.9
-266466 + 4.5
-266461.5
What is 6.4 plus 332?
338.4
Work out -0.3 + 777018.
777017.7
Work out -0.6 + 80954.
80953.4
Total of -2.31 and -34.
-36.31
Calculate -12630 - 4.
-12634
Total of 37689 and -6.
37683
Work out 202037 - -0.5.
202037.5
What is the distance between -176690 and 0.069?
176690.069
What is 1 less than -9564?
-9565
Total of -100.63 and 104.
3.37
Sum 3.4 and 0.52.
3.92
Add together -0.3 and 1.68398.
1.38398
0.34 - 9950
-9949.66
-79+-43
-122
What is 0.00284 plus 0.23?
0.23284
Put together 0.048 and 1885.2.
1885.248
What is -0.96 + -2204?
-2204.96
What is 0.05 + -0.298402?
-0.248402
What is -100.73145 minus 0.3?
-101.03145
What is 716 take away -7024?
7740
What is 0.0925 plus -9?
-8.9075
What is 0.311 + -0.4?
-0.089
What is -111 + 0.91?
-110.09
Add 174083 and 20.
174103
Add together -0.2 and 317376.
317375.8
What is the d | {
"pile_set_name": "DM Mathematics"
} |
*3 - 4*s + o*s + 11 wrt s?
3*s**2
Find the second derivative of -6*w + 88*w**2 - 260*w**2 - 430*w**2 + 5 + 14 wrt w.
-1204
What is the first derivative of -116*i - 48*i + 25*i - 1 - 14*i + 55 wrt i?
-153
Let y(o) = -o**2 - 6*o + 29. Let d be y(-9). What is the first derivative of 17 + 9*k**2 - d + 7 + 9*k**2 wrt k?
36*k
Let i(a) = -203*a**3 - 6*a**2 + 2*a + 232. Let c(b) = 204*b**3 + 8*b**2 - 3*b - 233. Let f(o) = -2*c(o) - 3*i(o). What is the third derivative of f(l) wrt l?
1206
Let u(y) = -5*y - 3. Let p be u(-1). Differentiate -17 + 12 + p*b + 2*b with respect to b.
4
Suppose 4*y + 9880 = 2*o - 5*o, 0 = 2*o + 4*y + 6592. Let i be o/(-32) + 1/4. What is the third derivative of -100*c**4 - 3*c**2 - 3*c**2 + i*c**4 wrt c?
72*c
Let x(r) be the second derivative of 7*r**6/24 + 11*r**3/3 + 9*r**2/2 + 45*r. Let v(u) be the first derivative of x(u). What is the derivative of v(j) wrt j?
105*j**2
Let m(b) = -523*b + 604. Let k(g) = -261*g + 298. Let w(j) = 5*k(j) - 2*m(j). What is the derivative of w(x) wrt x?
-259
Find the second derivative of 145*k + 129*k - 12*k**2 - 477*k - 47*k**2 + 122*k wrt k.
-118
Let f(b) be the first derivative of 22*b**4 + 38*b**3/3 + b + 81. What is the third derivative of f(i) wrt i?
528
Differentiate 4*a + 1355*a**2 - 259 + 1248*a**2 - 2476*a**2 - a - a with respect to a.
254*a + 2
Let d(v) be the second derivative of -v**6/2 - v**5/5 + 31*v**2 - v - 28. What is the derivative of d(z) wrt z?
-60*z**3 - 12*z**2
Let i(y) be the second derivative of -y**6/45 + 7*y**4/8 - 5*y**3/6 + 20*y. Let h(t) be the second derivative of i(t). What is the derivative of h(p) wrt p?
-16*p
Find the third derivative of -129*b**3 + 33*b**3 - 34*b + 14*b + 20*b - 277*b**2 wrt b.
-576
What is the second derivative of -z**2 + z**2 + 11*z + 832*z**3 + 6 + 3*z**4 - 829*z**3 wrt z?
36*z**2 + 18*z
Suppose 29*n = -9*n. Let u(q) be the first derivative of 3 + 0*q**3 + n*q**2 + 5/4*q**4 - 4*q. What is the derivative of u(z) wrt z?
15*z**2
Let x be (-4)/14 - (-4760)/196. What is the derivative of -3*z - 19 - 3*z - x wrt z?
-6
Let l(u) be the second derivative of -23*u**6/15 - 30*u**2 - 3*u + 10. What is the derivative of l(c) wrt c?
-184*c**3
Let q(p) be the first derivative of -13*p**5/20 - 7*p**3/3 - 5*p - 13. Let h(b) be the first derivative of q(b). What is the second derivative of h(f) wrt f?
-78*f
Differentiate 62 + j**3 + 27*j**3 - 7*j**3 - 10*j**3 + 3*j**2 with respect to j.
33*j**2 + 6*j
Suppose 19 = 3*c - 2. Differentiate 3 - 4 - 9*w - c + 0 with respect to w.
-9
Let i(m) be the first derivative of 4*m**5/5 + 11*m**3/6 + 16*m - 7. Let v(r) be the first derivative of i(r). What is the second derivative of v(h) wrt h?
96*h
What is the second derivative of 49*g - 470*g - 58*g**2 - 39*g wrt g?
-116
Find the second derivative of 266*d**2 + 107*d**2 - 17 - 354*d - 357*d + 728*d wrt d.
746
Let d(z) be the first derivative of -z**7/3 + 8*z**3/3 - 24*z - 19. Let n(p) be the first derivative of d(p). Find the second derivative of n(h) wrt h.
-280*h**3
Let m = 23 + -21. Suppose 3*o - 22 = m. What is the second derivative of -9*a**4 + o*a - a - 5*a**4 wrt a?
-168*a**2
Let w(y) be the first derivative of -102*y**2 + 0 + 104*y**2 + 13 + y**3. What is the second derivative of w(p) wrt p?
6
Find the second derivative of 26*v + 20*v**5 - 1 - 75*v + 1 wrt v.
400*v**3
Let c be (-1)/2*12/(-3). Suppose 0*o - 12 = -3*o. What is the second derivative of -3*u**4 + 7*u - c*u + 2*u**o wrt u?
-12*u**2
Let p be -2*(-2 - 4/(-8)). What is the derivative of -1 + 9*b + 1 + 5 + p wrt b?
9
Let q(y) = y**3 + 46*y**2 - 447*y - 3. Let a(d) = -d**3 - 48*d**2 + 448*d + 2. Let h(x) = 3*a(x) + 2*q(x). What is the second derivative of h(k) wrt k?
-6*k - 104
What is the third derivative of 54*x**2 + 24*x**3 + 31*x**3 - 169*x**2 wrt x?
330
Let l(b) = -15*b - 21. Let o(z) = 8*z + 10. Let j(u) = -2*l(u) - 5*o(u). Let v be j(-6). What is the second derivative of 27*f**5 + 26*f**5 - v*f**5 + f wrt f?
20*f**3
Let z(k) be the second derivative of -k**6/30 + 4*k**5/5 + 13*k**4/12 + k**3/6 - 63*k + 2. What is the third derivative of z(w) wrt w?
-24*w + 96
Let f(q) = q**2 - q + 8. Let u be 5 + -3 + (0 - 2). Let n be f(u). What is the third derivative of -v**2 - 27*v**3 + 27*v**3 - 2*v**6 + n*v**6 wrt v?
720*v**3
Let g(f) be the second derivative of -f**7/21 - 31*f**6/6 + 13*f**3/3 + f**2 - 421*f. Find the second derivative of g(l) wrt l.
-40*l**3 - 1860*l**2
Suppose 5*f - 18 = 4*f. Let s be 6*(f/4 - 4). What is the third derivative of 0*r**s - 10 + 10 - 4*r**3 + 4*r**2 wrt r?
-24
Let n be -1 + 1 - (-17 - -10). Suppose n = 3*u - 392. What is the first derivative of 0 - 143*m**2 + 2 + u*m**2 wrt m?
-20*m
Let q = 8 + -6. Find the second derivative of -4*u - 9*u - q*u - 34*u**5 wrt u.
-680*u**3
Suppose -u + 1 = -1. Suppose 0 = -2*t - 2 + 6. Find the first derivative of -74*h**3 + h**u + 71*h**3 - 9 - h**t wrt h.
-9*h**2
What is the second derivative of 12*s**3 + 2*s**4 + 5 + 21*s + 4 - 13 - 8*s**4 wrt s?
-72*s**2 + 72*s
Let j(w) = w + 2. Let h(t) = 29*t + 11. Let k(a) = -2*a. Let m(c) = h(c) - 3*k(c). Let y(f) = 22*j(f) - 2*m(f). Differentiate y(b) with respect to b.
-48
Let g(w) be the first derivative of 2*w**5/5 + 55*w**4/2 + 409*w + 31. Find the first derivative of g(o) wrt o.
8*o**3 + 330*o**2
Let d(g) = g**3 + 14*g**2 - g - 8. Let y be d(-14). What is the third derivative of -9*l**2 - 5*l**y - 38*l**5 + 21*l**6 + 38*l**5 wrt l?
1920*l**3
Let r(a) be the third derivative of 0*a**5 + 0 + 0*a + 0*a**6 + 0*a**3 + 10*a**2 - 11/210*a**7 + 1/3*a**4. What is the second derivative of r(k) wrt k?
-132*k**2
Suppose 0 = -5*c + 8 - 3, 0 = -4*p + 2*c - 2. Let m be 1 - (-1)/(2 - 1). What is the second derivative of p*f + 4*f**m + 2*f**2 - 5*f wrt f?
12
What is the third derivative of 366*w**6 - 130*w**2 - 28*w**2 - 1 - 695*w**6 wrt w?
-39480*w**3
Let y(k) be the first derivative of -23*k**4/2 + 87*k**2/2 + 88. What is the second derivative of y(g) wrt g?
-276*g
Suppose 11 = f - 5*w - 6, 0 = -f + 3*w + 11. Let k = 164 - 159. What is the second derivative of -78*a**f + a + 78*a**2 - 4*a**k wrt a?
-80*a**3
Let d(x) = -2*x + 2. Let n be d(-4). What is the first derivative of 60 - 59 + n*c**4 + 8*c**4 wrt c?
72*c**3
Let l(d) be the first derivative of 0*d**6 + 0*d**4 + 16/3*d**3 + 0*d**2 + 0*d**5 + 34/7*d**7 + 0*d - 26. Find the third derivative of l(v) wrt v.
4080*v**3
Let o(v) = v**3 + 7*v**2 + 7*v + 10. Let b be o(-6). What is the second derivative of -21*h + 13*h - h**4 - 17*h**b wrt h?
-216*h**2
Differentiate 1887 - 2008 + 205*w**3 + 205*w**3 wrt w.
1230*w**2
Let g(n) be the first derivative of -287*n**5/5 - 296*n - 211. Find the first derivative of g(d) wrt d.
-1148*d**3
Let c(h) = 338*h**4 - 14*h**3 + 66*h + 28. Let r(k) = 113*k**4 - 5*k**3 + 22*k + 10. Let q(o) = -4*c(o) + 11*r(o). What is the second derivative of q(a) wrt a?
-1308*a**2 + 6*a
Let o(u) = 10*u**3 + 4*u**2 - u + 4. Let l(z) = z**2 + 1. Suppose 11 = 9*i + 47. Let w(v) = i*l(v) + o(v). What is the second derivative of w(j) wrt j?
60*j
Suppose -2*u = -6*u - 8. Let v(k) = 3*k**3 + 15*k**2 - 15*k - 12. Let c(g) = g**2 - g - 1. Let t(p) = u*v(p) + 30*c(p). Find the first derivative of t(x) wrt x.
-18*x**2
Find the first derivative of 27 - 2 + 7 - 131*g + 16*g wrt g.
-115
Let m(j) = -j**2 + 8*j - 12. Let a be m(5). Let u = 5 - a. What is the third derivative of -9*r**2 + r**6 + 2*r**u + 6*r**6 wrt r?
840*r**3
Let h(j) = -53*j**3 + 5*j**2 + 94. Let k(b) = 4*b**2 - 1283*b**3 + 1309*b**3 - 47 - 6*b**2. Let r(t) = -2*h(t) - 5*k(t). What is the derivative of r(g) wrt g?
-72*g**2
Let o(m) be the first derivative of -55*m**2/2 + 72*m - 13. What is the first derivative of o(r) wrt r?
-55
Suppose 5*a - 10 = 3*x, 2*x - 4*x = 0. What is the second derivative of -75*j**2 - 42*j**3 + 13*j + 75*j**a wrt j?
-252*j
Let c(u) = u**3 + 8*u**2 - 2*u - 14. Let q be c(-8). Suppose -q*y = 4*y - 30. Find the third derivative of -2*r**3 - 2*r**3 - 13*r**y - 8*r**2 + 4*r**3 wrt r.
-780*r**2
Let g = -440 - -449. Let p(m) be the first derivative of 0*m**3 + 1/2*m**4 + 0*m**2 - 4*m - g. Find the first derivative of p(u) wrt u.
6*u**2
Suppose 0 = z + 14 + 6. Let m = -3 - z. What is the second derivative of 12*d**3 - m*d - 5*d**3 + 11*d wrt d?
42*d
Let f(m) be the first d | {
"pile_set_name": "DM Mathematics"
} |
/7 = 0?
-1, 1493
What is n in -5*n**3 - 1130*n**2 + 1135*n = 0?
-227, 0, 1
Suppose 4*z**2 - 1400*z/3 - 156 = 0. Calculate z.
-1/3, 117
Factor 4*j**2 + 224*j.
4*j*(j + 56)
Factor -2*x**2 - 4124*x - 4122.
-2*(x + 1)*(x + 2061)
Let 3*g**2/5 + 132*g/5 + 1452/5 = 0. What is g?
-22
Solve j**2 - 78*j + 152 = 0.
2, 76
What is m in -29791*m**3 + 95139*m**2 - 101277*m + 35937 = 0?
33/31
Factor -3*n**4/7 - 9*n**3/7 - 9*n**2/7 - 3*n/7.
-3*n*(n + 1)**3/7
Suppose -6*q**2 + 69*q + 36 = 0. What is q?
-1/2, 12
Factor -3*p**3 + 1353*p**2 - 151872*p - 153228.
-3*(p - 226)**2*(p + 1)
Factor 2*s**2 - 18*s + 28.
2*(s - 7)*(s - 2)
Let -n**4/2 - 10*n**3 + 72*n**2 - 152*n + 104 = 0. Calculate n.
-26, 2
Factor -p**4/3 + 2*p**3 - 11*p**2/3 + 2*p.
-p*(p - 3)*(p - 2)*(p - 1)/3
Factor -2*o**3/7 - 282*o**2/7 - 13254*o/7 - 207646/7.
-2*(o + 47)**3/7
Find m such that -2*m**3/9 - 238*m**2/9 - 2320*m/3 + 800 = 0.
-60, 1
Factor -3*v**4 - 12*v**3 - 15*v**2 - 6*v.
-3*v*(v + 1)**2*(v + 2)
Suppose 5*l**4 + 50*l**3 - 5*l**2 - 50*l = 0. Calculate l.
-10, -1, 0, 1
Solve 5*w**4 - 5*w**3 - 10*w**2 = 0 for w.
-1, 0, 2
Find l such that l**3/8 + 57*l**2/8 + 49*l = 0.
-49, -8, 0
Factor 139*b**2/9 + 137*b/9 - 2/9.
(b + 1)*(139*b - 2)/9
Factor -x**2/9 + 118*x/9 + 80/3.
-(x - 120)*(x + 2)/9
Factor t**5/6 + t**4/6 - t**3/2 - 5*t**2/6 - t/3.
t*(t - 2)*(t + 1)**3/6
Factor 5*r**3 + 8590*r**2 + 3689405*r.
5*r*(r + 859)**2
Factor -n**4 - 2*n**3 + 24*n**2.
-n**2*(n - 4)*(n + 6)
Find n such that -n**2 + 87*n - 86 = 0.
1, 86
Factor 5*m**3/2 + 6185*m**2/2 - 12400*m + 12410.
5*(m - 2)**2*(m + 1241)/2
Factor -n**2/2 + 35*n/2 + 78.
-(n - 39)*(n + 4)/2
Find u, given that 3*u**2 - 306*u + 600 = 0.
2, 100
Factor 35*h**2/2 - 52245*h/2 - 7465.
5*(h - 1493)*(7*h + 2)/2
Let -3*i**4/2 - 9*i**3/2 - 9*i**2/2 - 3*i/2 = 0. Calculate i.
-1, 0
Find u such that 2*u**4/9 + 2*u**3/9 - 8*u**2/9 - 8*u/9 = 0.
-2, -1, 0, 2
Find v, given that 3*v**5 - 18*v**4 - 30*v**3 + 60*v**2 + 27*v - 42 = 0.
-2, -1, 1, 7
Factor 54*r**3 + 2809*r**2 + 36556*r + 676.
(r + 26)**2*(54*r + 1)
Factor o**3/2 - 339*o**2/4 - 85*o/2.
o*(o - 170)*(2*o + 1)/4
Factor 1236492*b**2 + 3852*b + 3.
3*(642*b + 1)**2
Factor -j**3/5 + 2*j**2/5 + 13*j/5 + 2.
-(j - 5)*(j + 1)*(j + 2)/5
Suppose -2*l**3 + 4*l**2 + 2*l - 4 = 0. Calculate l.
-1, 1, 2
Solve -36*u**3 + 84*u**2 - 64*u + 16 = 0 for u.
2/3, 1
Factor 4*o**3 + 40*o**2 + 48*o - 288.
4*(o - 2)*(o + 6)**2
Factor 10*l**3 + 176*l**2/3 + 82*l - 12.
2*(l + 3)**2*(15*l - 2)/3
Factor -w**3/4 + w**2/2 + w - 2.
-(w - 2)**2*(w + 2)/4
Solve -3*h**3 + 11*h**2/3 + 52*h/3 - 4 = 0.
-2, 2/9, 3
Determine v, given that -3*v**5 - 30*v**4 - 45*v**3 + 30*v**2 + 48*v = 0.
-8, -2, -1, 0, 1
Let o**4/4 - 3*o**3/2 + 3*o**2/4 + 5*o/2 = 0. Calculate o.
-1, 0, 2, 5
Factor -2075*a**2 - 9910*a + 240.
-5*(5*a + 24)*(83*a - 2)
Suppose 12*d**4/11 - 86*d**3/11 + 228*d**2/11 - 24*d + 112/11 = 0. What is d?
7/6, 2
Factor -a**4 + 19*a**3 + a**2 - 871*a - 2028.
-(a - 13)**2*(a + 3)*(a + 4)
Factor z**3/2 + 3*z**2 - 15*z/2 + 4.
(z - 1)**2*(z + 8)/2
Factor 2*f**3 + 250*f**2 + 3616*f + 13952.
2*(f + 8)**2*(f + 109)
Suppose 7*b**5/4 + 275*b**4/4 + 2703*b**3/4 + 5209*b**2/4 + 1687*b/2 + 150 = 0. What is b?
-25, -12, -1, -2/7
Find s such that -405*s**4 + 2340*s**3 - 2975*s**2 - 2340*s + 3380 = 0.
-1, 1, 26/9
Determine v so that 2*v**2/15 + 12*v/5 + 34/15 = 0.
-17, -1
Factor w**5 - 29*w**4 + 190*w**3 + 378*w**2 - 1215*w + 675.
(w - 15)**2*(w - 1)**2*(w + 3)
Let 4*n**2 + 344*n - 348 = 0. What is n?
-87, 1
Determine s so that -2*s**3/3 + 4*s**2 - 6*s = 0.
0, 3
Determine n, given that -n**3 + 14*n**2 - 57*n + 72 = 0.
3, 8
Factor -4*i**2/5 - 24*i/5 - 4.
-4*(i + 1)*(i + 5)/5
Determine u so that 4*u**2/9 - 944*u/3 + 55696 = 0.
354
Let 2*g**4/13 + 92*g**3/13 + 746*g**2/13 - 552*g + 936 = 0. Calculate g.
-26, 3
Suppose -3*g**5 + 42*g**4 - 192*g**3 + 354*g**2 - 285*g + 84 = 0. Calculate g.
1, 4, 7
Factor 85*d**4 - 240*d**3 + 210*d**2 - 40*d - 15.
5*(d - 1)**3*(17*d + 3)
Factor 5*x**2/2 + 1355*x + 367205/2.
5*(x + 271)**2/2
Suppose -m**3 - 456*m**2 - 909*m - 454 = 0. What is m?
-454, -1
Factor 2*z**3/7 + 116*z**2/7 - 118*z/7.
2*z*(z - 1)*(z + 59)/7
Find g such that -g**2/5 + 9*g/5 - 8/5 = 0.
1, 8
Find i, given that -5*i**3 + 15*i**2 + 20*i = 0.
-1, 0, 4
Determine l so that l**4 + 11*l**3 + 20*l**2 - 32*l = 0.
-8, -4, 0, 1
Factor -4*c**3/7 - 11076*c**2/7.
-4*c**2*(c + 2769)/7
Suppose 3*j**2/7 - 3*j + 30/7 = 0. Calculate j.
2, 5
Factor 2*b**2/7 - 46*b/7 + 44/7.
2*(b - 22)*(b - 1)/7
Factor -z**3/5 + 52*z**2/5 + 107*z/5 + 54/5.
-(z - 54)*(z + 1)**2/5
What is y in 3*y**3 - 3*y**2 - 6*y = 0?
-1, 0, 2
Factor -7*g**4/4 - 5*g**3/4 + 4*g**2 - g.
-g*(g - 1)*(g + 2)*(7*g - 2)/4
Factor -4*n**2 + 19432*n - 19428.
-4*(n - 4857)*(n - 1)
Factor d**4 - 177*d**3 + 513*d**2 + 1593*d - 4698.
(d - 174)*(d - 3)**2*(d + 3)
Solve 2*q**3/3 - 26*q**2/3 - 2618*q/3 - 27166/3 = 0.
-17, 47
Factor -2*u**3/13 - 64*u**2/13 + 134*u/13 - 68/13.
-2*(u - 1)**2*(u + 34)/13
Solve 48*c**4 + 60*c**3 - 72*c**2 + 3*c + 6 = 0 for c.
-2, -1/4, 1/2
Let -4*y**4 - 84*y**3 - 480*y**2 - 400*y = 0. What is y?
-10, -1, 0
Factor -3*i**2/4 - 51*i/2 - 99/4.
-3*(i + 1)*(i + 33)/4
Factor -5*c**4 - 770*c**3 - 765*c**2.
-5*c**2*(c + 1)*(c + 153)
Suppose 2*c**4/9 + 4*c**3/3 - 44*c/9 + 10/3 = 0. What is c?
-5, -3, 1
Suppose 5*j**2 + 200*j - 205 = 0. What is j?
-41, 1
Suppose -j**2/7 + 59*j/7 - 24 = 0. What is j?
3, 56
Factor 2*y**2 - 3792*y.
2*y*(y - 1896)
Factor d**5/3 - 7*d**4/3 + d**3 + 31*d**2/3 + 20*d/3.
d*(d - 5)*(d - 4)*(d + 1)**2/3
Factor 3*l**5/5 + 9*l**4/5 - 54*l**3/5.
3*l**3*(l - 3)*(l + 6)/5
Factor m**4 - 32*m**3 - 33*m**2.
m**2*(m - 33)*(m + 1)
Suppose a**3/2 + 46*a**2 - 2*a - 184 = 0. Calculate a.
-92, -2, 2
Find w, given that -w**5/4 + 4*w**4 - 37*w**3/2 + 14*w**2 + 147*w/4 = 0.
-1, 0, 3, 7
Factor -d**5/10 - d**4/2.
-d**4*(d + 5)/10
Find s such that -3*s**3/7 + 237*s**2/7 + 6303*s/7 + 36663/7 = 0.
-11, 101
Factor f**5 + 7*f**4 + 14*f**3 + 8*f**2.
f**2*(f + 1)*(f + 2)*(f + 4)
Let 3*r**4 - 228*r**3 + 4329*r**2 + 228*r - 4332 = 0. What is r?
-1, 1, 38
Determine k, given that k**2/4 - 6*k + 63/4 = 0.
3, 21
Factor 2*b**4/7 - 12*b**3/7 + 24*b**2/7 - 20*b/7 + 6/7.
2*(b - 3)*(b - 1)**3/7
Factor -2*p**5 + 4*p**3 - 2*p.
-2*p*(p - 1)**2*(p + 1)**2
Solve 25*z**3/7 + 11*z**2 + 8*z + 4/7 = 0.
-2, -1, -2/25
Determine i so that -3*i**5 + 21*i**4 + 15*i**3 - 225*i**2 = 0.
-3, 0, 5
Let 20*k**4 - 1915*k**3 - 6380*k**2 - 5435*k - 990 = 0. What is k?
-2, -1, -1/4, 99
Factor 3*z**2 - 126*z + 123.
3*(z - 41)*(z - 1)
Factor 3*m**4 - 51*m**3 + 189*m**2 + 243*m.
3*m*(m - 9)**2*(m + 1)
Suppose -4*a**4 + 28*a**3 - 24*a**2 = 0. What is a?
0, 1, 6
Find i such that -2*i**5 + 140*i**4 - 3440*i**3 + 33440*i**2 - 96800*i + 85184 = 0.
2, 22
Determine v, given that 5*v**5 + 20*v**4 - 180*v**3 + 370*v**2 - 305*v + 90 = 0.
-9, 1, 2
Factor -l**4/5 + 16*l**3/5 - 29*l**2/5 + 14*l/5.
-l*(l - 14)*(l - 1)**2/5
Let -4*t**3 - 28*t**2 + 4*t + 28 = 0. What is t?
-7, -1, 1
Factor -v**5/3 + 16*v**4 - 812*v**3/3 + 1830*v**2 - 3825*v + 2250.
-(v - 15)**3*(v - 2)*(v - 1)/3
Let 3*u**4 - 912*u**3 - 915*u**2 = 0. Calculate u.
-1, 0, 305
Find a, given that -2*a**4 - 8*a**3 - 12*a**2 - 8*a - 2 = 0.
-1
Find o, given that 2*o**3/11 - 68*o**2/11 + 530*o/11 - 1200/11 = 0.
5, 24
Factor 21*v**2/5 - 66*v/5 - 72/5.
3*(v - 4)*(7*v + 6)/5
Factor 2*w**3 - w**2/2 - 25*w/2 + 11.
(w - 2)*(w - 1)*(4*w + 11)/2
Determine p, given that -4*p**5 - 8*p**4 + 32*p**3 - 8*p**2 - 28*p + 16 = 0.
-4, -1, 1
Solve 3*t**3 + 33*t**2 + 105*t + 75 = 0.
-5, -1
Factor l**3/2 + 2*l**2 + 2*l.
l*(l + 2)**2/2
Solve -3*y**4 - 63*y**3 - 474*y**2 - 1476*y - 1512 = 0.
-7, -6, -2
Factor -h**5/4 + 3*h**4/2 - 3*h**3 + 5*h**2/2 - 3*h/4.
-h*(h - 3)*(h - 1)**3/4
Let -2*x**2/7 - 6*x = 0. Calculate x.
-21, 0
Factor 3*a**5 + 24*a**4 + 39*a**3 + 18*a**2.
3*a**2*(a + 1)**2*(a + 6)
Factor 3*l**2/5 - 82*l/5 + 504/5.
(l - 18)*(3*l - 28)/5
Factor -2*y**4/9 + 12584*y**3/9 + 4196*y**2 + 37768*y/9 + 12590/9.
-2*(y - 6295)*(y + 1)**3/9
Factor -3*p**4 - 6*p**3 + 264*p**2 - 1056*p + 1152.
-3*(p - 4)**2*(p - 2)*(p + 12)
Let -3*u**3/5 + 66*u**2 - 8736*u/5 - 18816/5 = 0. Calculate u.
-2, 56
Factor 3*y**5 + 720*y**4 + 56112*y**3 + 1296912*y**2 - 9440496*y + 13232832.
3*(y - 4)*(y - 2)*(y + 82)**3
Let 2*a**2 - 8*a - 10 = 0. Calculat | {
"pile_set_name": "DM Mathematics"
} |
Let s(c) = 1 + 7*c - 20*c + c**3 + 8*c. Let w(n) = 3*r(n) + 4*s(n). What is w(-4)?
5
Let c = -2 - -2. Suppose -4*m = -c*m - 20. Let k(a) = -a. Let h(x) = 4*x + 2. Let i(j) = h(j) + 3*k(j). Determine i(m).
7
Let l be ((-5)/(-2))/5*16/2. Suppose -c - 5 = -0*c, c + 13 = -l*o. Let i(a) = -a - 8*a - a**2 + 6*a. What is i(o)?
2
Let y = -3 - -2. Let f(v) = 387 - 10*v**2 + v + 386 - 773. Give f(y).
-11
Let k(a) = -30 + 2*a - 32 - 1 + 14 + a. Calculate k(17).
2
Let s(h) be the third derivative of h**4/24 - h**3/3 - h**2. Let n be ((-24)/9)/(5/(-3) - -1). Suppose p + 18 = 5*x, -n*p + 1 = x - 11. Calculate s(x).
2
Let d(s) = -2*s**2 - 2 - 163*s + 346*s - 169*s - 12. Calculate d(5).
6
Let j(r) be the first derivative of r**3/3 + 3*r**2/2 + 4*r - 81. Determine j(-4).
8
Let o(j) be the first derivative of -j**4/4 - 2*j**3 + 4*j**2 + 10*j + 35. Determine o(-4).
-54
Suppose 3*y - 5 + 24 = 5*s, -4*y = 12. Let i(n) = 0*n**2 - s + 0 + 4*n + n**2. Determine i(-3).
-5
Let h(n) be the third derivative of -15*n**2 - 1/24*n**4 + 0*n - 1/24*n**6 - 1/6*n**3 + 0 + 1/60*n**5. Determine h(-1).
6
Let k(o) = 6*o**2 + o. Let w(x) = 17*x**2 - 17*x - 29. Let c(d) = -3*k(d) + w(d). Determine c(-18).
7
Let l = 23 + -22. Suppose i - l = -0*i. Let a(x) = -4*x - 4 + x**3 + 5*x**2 + 0*x - 2*x**2 + i. What is a(-3)?
9
Let a(d) = d - 1. Let k = 31 + -26. Suppose -k*r = -v + 35, r + 2*r + 39 = -3*v. Let n be r/10*35/(-14). Give a(n).
1
Let b(t) = -t**3 + 11*t**2 + t - 7. Let j be 5 - 4 - (-4 + 3). Suppose 6*i = j*i + 5*y + 49, 0 = -5*i + y + 56. Calculate b(i).
4
Suppose 2*f + f - 6 = 0. Let v(o) be the third derivative of 1/6*o**3 + 0 + 1/60*o**5 - 1/6*o**4 + 0*o - 27*o**2. What is v(f)?
-3
Let z(k) = -6*k**2 + 95*k + 4 + 1 + k**3 - 187*k + 97*k. Determine z(5).
5
Let c be ((-4)/(-12))/((-2)/6). Let z be 0/c - (-3)/(-3). Let d(u) = u**3 + 2*u**2 + 2*u + 1. What is d(z)?
0
Let q(p) = -p + 1. Let x(d) = -d**2 - 5*d + 7. Let i be x(-5). Let m(u) = -3*u**2 + 4*u**2 - i - 4*u + 3*u. Let l(y) = m(y) + 4*q(y). Determine l(5).
-3
Let z = -561 + 561. Let v(l) be the third derivative of 1/24*l**4 + l**2 - 13/6*l**3 + z + 0*l. Determine v(0).
-13
Let v = 5 + -2. Let d(f) = -4*f**2 + 5*f + 1. Let k(h) = -5*h**2 + 7*h. Let c(z) = 4*d(z) - 3*k(z). Determine c(v).
-8
Let u(b) = -4*b**2 - 6*b**2 - 8*b**2 + 4 - 16*b**2 + 31*b**2 - b**3. Suppose 0 = 4*p - 10 - 10. Suppose 3*t + h + 8 - 2 = 0, 5*t + p*h = 0. Determine u(t).
4
Suppose s = 4*p - 10, -4*s = -6*p + 3*p + 1. Let w be 2*-3*s/(-4). Let g(y) = -1 + 2 + 4*y**2 + y**w - 6. Determine g(-4).
-5
Let j(p) be the third derivative of -p**6/120 + p**4/8 - p**3/2 + 26*p**2. Let n(q) = -q**2 + 17*q - 14. Let i be n(16). Give j(i).
-5
Let n(m) be the second derivative of m**4/12 + 5*m**3/3 + 3*m**2 + 3*m - 3. Suppose -5*s = 11 + 19. What is n(s)?
-18
Let f(z) = -7*z**2 + 5 + z + 24*z**3 + 27*z**3 + 36*z**3 - 86*z**3. Calculate f(5).
-40
Let p(f) be the second derivative of 2*f**2 + 0 - 1/6*f**3 - 5*f - 1/12*f**4. Calculate p(-3).
-2
Let d(v) be the first derivative of -5/2*v**2 + 3 + 1/3*v**3 + v. Let b(i) = -i**2 + 10*i + 2. Let q be b(10). Calculate d(q).
-5
Let v(x) be the third derivative of x**5/10 + x**3/6 + x**2. Let s(t) = 7*t**2 + 1. Let y(d) = 4*s(d) - 5*v(d). Give y(2).
-9
Suppose -3*k + h - 3563 = -8*k, k = -4*h + 705. Let f(w) = -713*w + k*w - 2 + w**2. Let r(a) = -a + 3. Let s be r(0). What is f(s)?
7
Let k(w) = -w - 5. Let t(y) be the second derivative of -y**5/20 - 5*y**4/6 + 5*y**3/3 - 15*y**2/2 + 5*y. Let c be t(-11). Give k(c).
-1
Let h(k) be the first derivative of -7*k**2 - k - 201. Determine h(2).
-29
Suppose 3*d - 43 = -58. Let m(b) = b**3 + 4*b**2 - 2*b - 6. Determine m(d).
-21
Let t(b) be the third derivative of -b**4/24 - b**3/3 - 15*b**2. Let s(i) = -i**3 - i**2 + 2*i + 1. Let g be s(-1). Let q = 1 + g. Give t(q).
-2
Suppose -4*b - 5*y = -8, 3*y - 10 = 2*b + 2*y. Let c(p) = 6*p + 11. Let x be c(b). Let w(u) = u**2 + 8*u - 1. What is w(x)?
-8
Let a(h) be the third derivative of 0 + 0*h + h**2 + 1/120*h**5 + 2/3*h**3 + 5/24*h**4 + 1/360*h**6. Let w(s) be the first derivative of a(s). Give w(0).
5
Let t(z) = -2*z**2 + 4*z**2 - 3*z**2 - 5*z. Let r = -71 + 67. Let s be t(r). Let l(k) = k**3 - 4*k**2 + 3. What is l(s)?
3
Let k(t) = -5*t**2 + 8*t - 1. Let w(s) be the first derivative of -5*s**3 + 23*s**2/2 - 2*s - 51. Let a(c) = 11*k(c) - 4*w(c). What is a(-2)?
25
Let f = -775 - -774. Let b(m) = 18*m**3 - m**2 + m + 1. What is b(f)?
-19
Let q(h) = 13 - 4*h - 36 + 1 + 5*h. Calculate q(7).
-15
Let s(n) = -11*n**3 - 4. Let o(y) = 2*y**3 + 1. Let k(i) = -5*o(i) - s(i). What is k(0)?
-1
Let g(f) be the first derivative of f**2/2 + 3*f - 2. Suppose 11*j - 8*j = -108. Let u = -36 - j. Calculate g(u).
3
Let b(g) = -13*g**3 - g**2. Let q = -31 - -32. Suppose 3 = 2*c + q. What is b(c)?
-14
Let g = 177 - 177. Let m(u) = u**2 + u - 22. Give m(g).
-22
Let p(u) = -1. Let w(o) = -7*o + 1. Let k(f) = 2*p(f) + w(f). Suppose -2 - 10 = 3*i. Let a be (9/(-18))/(2/i). Calculate k(a).
-8
Let u(z) be the second derivative of -z**4/12 - 3*z**3/2 - 11*z**2 - 9*z - 16. Calculate u(-9).
-22
Let c(j) = j**3 + 7*j**2 + 7*j. Let u(b) = 0*b**3 + 3*b + 2*b**3 + 2*b**3 - 2*b. Let a be u(-1). What is c(a)?
15
Let g(b) = -8*b**2 - 13*b + 14. Let l be g(1). Let a(q) = -q**3 - 6*q**2 + 4*q - 4. Determine a(l).
17
Let i(p) = 14*p - 11. Let r(c) = -11*c + 10. Let l(d) = -3*i(d) - 4*r(d). Calculate l(12).
17
Let t(s) = 4*s**2 - 3*s + 1. Let k be t(2). Let j(l) = l**3 + 5*l**2 + 2*l - 6. Let w be j(-3). Let g(r) = r**2 + w - 3*r + k*r - 1. What is g(-5)?
-10
Let i(c) = c**3 - 10*c**2 - c + 10. Let z be i(10). Let j(n) = 2 - 3*n**2 + z*n - 4*n + 5*n**2. Give j(2).
2
Suppose -b + f + 2 = -3*f, -f - 2 = -b. Suppose -s = b*a, -24 = s - 0*a - 4*a. Let r(j) = j**2 + 6*j - 10. Give r(s).
6
Let r(x) = -x - 11. Let l(o) = 2*o + 23. Let k(i) = 6*l(i) + 13*r(i). Calculate k(-5).
0
Let o(d) = -d**2 + 3*d - 1. Let k(i) = i + 3. Let y be k(-5). Let x(a) = -2*a**2 + 5*a - 1. Let b(l) = y*x(l) + 5*o(l). Calculate b(3).
3
Let a(d) = 12*d**3 - d**2 + 1. Let q be -1 + 8/12*3. Let t be a(q). Let o(w) = -4*w - w - 8 + t + 6*w. Give o(0).
4
Let x(t) = t**3 + 3*t**2 - t - 2. Let w = -6 - -40. Let d(s) = s**2 - 12*s + 3. Let v be d(10). Let i be (-3 - 1)/(w/v). What is x(i)?
16
Let r(j) = 3*j - 17. Suppose 7*g - 394 = -303. Determine r(g).
22
Let a(u) = 3 - 14948*u + 14950*u + 1. Let i = -2 + -4. Determine a(i).
-8
Let j be (-1)/(1 - 0)*-3. Suppose 0*x - y - 58 = -3*x, 0 = -x + 5*y + 24. Let s(t) = 9*t - 4*t - x + 17. Determine s(j).
13
Suppose i + 5*b = 5, -b - 7 + 2 = -i. Let y(f) = -f**2 + 4*f - 2. Let o be y(3). Suppose 0 = c + i - o, -4*p = -c. Let x(h) = -h. Determine x(p).
1
Let m(u) = u - 4. Let p = 44 + -34. Suppose -5*r + 2*v + 19 = -p, -r = 3*v + 1. Give m(r).
1
Let n(p) = p**2 - 11*p - 1. Let u(a) = -4*a**2 + 29*a + 4. Let y(h) = 8*n(h) + 3*u(h). Determine y(3).
-35
Suppose -4*i + 41 = -231. Let z(n) = -72*n - 2 - 2 + 3 + i*n. What is z(1)?
-5
Let k(b) = 14*b. Let q = -41 - -47. Suppose 0 = q*d - d - 3*p + 30, 4*d + 4*p + 24 = 0. Let i be -1 + 0*2/d. What is k(i)?
-14
Suppose 0 = -3*f - 3*f + 1176. Let n(o) = -196*o**2 - o**3 + 10 + f*o**2. Suppose 5*a - 6 = 5*c + 9, 3 = 5*c + a. Calculate n(c).
10
Suppose 3*b + 0*b + 3 = 0. Let h(d) = -d**3 - 6*d**2 - 11*d + 5. Let s(t) = t**2 + 2*t - 1. Let w(o) = h(o) + 5*s(o). Calculate w(b).
1
Let l = 3 + 0. Let i(a) be the first derivative of a**4/12 - a**3/6 + a**2/2 + 6*a - 9. Let b(k) be the second derivative of i(k). Give b(l).
5
Let m(j) = -j**3 + 3*j**2 - 2*j - 1. Let o(b) = b**2 + 5*b - 4. Let y be o(-6). Suppose 5*c = 6*c - y. Give m(c).
-1
Let h(y) = -1 + 5*y + 0*y - 2*y. Let i(x) = 6*x - 4. Let w(b) = -b + 1. Let d(q) = -i(q) - 2*w(q). Let z(u) = -4*d(u) - 5*h(u). Determine z(3).
0
Suppose g = -g. Suppose g*j = 3*d - j, 5*d = -j - 8. Let n(u) = u + 2. What is n(d)?
1
Let p be ((-96)/(-60))/(4/(-10)) + 7. Let q(o) = -4*o - 4*o + 2*o**2 + 17*o - 1 - 8*o - o**p. Determine q(1).
1
Suppose -p - 3*p = -2*a - 16, -4*a = -3*p + 22. Let d(o) be the first derivative of 7 - 3 + o**p + 3 - 2 + 7*o. Determine d(-6).
-5
Let n = 3 - -14. Let u(h) = -n*h**2 + 10*h**2 + 8*h**2 - 1 - 6*h + 0. Determine u(5).
-6
Let l(o) = -o. Let j(b) = -b**2 + 2*b + 5 | {
"pile_set_name": "DM Mathematics"
} |
escending order.
3, -2/9, f
Suppose -a - a + 5*b - 18 = 0, -5*a - 26 = -3*b. Put 2/5, a, -1/2 in decreasing order.
2/5, -1/2, a
Suppose 5*q - 4*h = -12, 4*q - 14 = 6*q + 3*h. Put 4, q, -3, -1 in decreasing order.
4, -1, -3, q
Let r = -0.24 + 0.74. Let d be -2 - (2 + 26/(-7)). Put d, r, 0.6 in descending order.
0.6, r, d
Let c = -14 + 14.2. Put c, -0.5, -0.2 in increasing order.
-0.5, -0.2, c
Let f = 0.06 - 5.06. Let n = -9 - f. Let o = n - -3. Put -0.3, o, 5 in decreasing order.
5, -0.3, o
Let i = -9.12 - -9. Sort -2/9, -2/17, -2, i in decreasing order.
-2/17, i, -2/9, -2
Let d(r) = -r**3 - 22*r**2 - 21*r + 2. Let b be d(-21). Put 11, b, -1/3, -4 in ascending order.
-4, -1/3, b, 11
Let q = -7 + 14. Let y = 4 - 8. Sort y, q, -5.
-5, y, q
Suppose 3*d = -2*d - 25. Put -4, d, 3 in increasing order.
d, -4, 3
Let k(p) be the second derivative of -p**5/20 - 5*p**4/12 + 2*p**2 + p. Let c be k(-5). Put 3, c, -2 in ascending order.
-2, 3, c
Suppose 10 + 5 = -5*r. Let b be 1/3 - 154/210. Put r, 0.2, b in decreasing order.
0.2, b, r
Let t be 2 - (-2 + 1) - -2. Suppose -5*j - x + 3*x = 9, -8 = 2*j - 3*x. Let r = 1 - 1. Put r, j, t in ascending order.
j, r, t
Let n = -8 + 4. Put -5, n, -14 in increasing order.
-14, -5, n
Let i be -2*(2 - 1/1). Suppose -p + 4 = -x, 3*p - 2*x - 14 = 3*x. Sort p, i, 2 in descending order.
p, 2, i
Let x = 0.66 - 4.56. Let z = x + -0.1. Let s(m) = -4*m. Let p be s(-1). Sort z, -1/4, p in decreasing order.
p, -1/4, z
Suppose 4 = -p + 2*p + 5*s, -4*s = -4*p + 16. Suppose p*r = 2*q + 4, 2 = 5*r + 5*q - 6*q. Put r, -3, 5 in decreasing order.
5, r, -3
Let m be ((-3)/6 - -2)/((-126)/(-24)). Put -1/7, -4, m, -1.2 in increasing order.
-4, -1.2, -1/7, m
Let v = 0 - 3. Let w = -8/7 + 1. Sort w, -1, v in increasing order.
v, -1, w
Suppose -2*o - 3*o + 11 = 4*j, 4*o = -j. Suppose -2 = 2*w - 8. Suppose -2*r + 5 = -w*r. Put r, 4, o in decreasing order.
4, o, r
Let n be 6/33 - (-64)/11. Sort n, 2, 1, 0.1.
0.1, 1, 2, n
Let l be (6 - 5)*(-26)/(-1). Suppose 0 = 5*d + 4*m - l, -d - 4*d = 5*m - 30. Put -5, 0, d in ascending order.
-5, 0, d
Let q be (-52)/70 + 33/55. Let g = -55/312 - -1/104. Let f = 0.03 + 1.97. Sort g, q, f in decreasing order.
f, q, g
Suppose 4*x - 1 = -2*j + 7, -j - x = -3. Let s be ((-12)/16)/(j/8). Put -9, -5, s in ascending order.
-9, -5, s
Let d be (10/(-25))/(1/(-25)). Let j be (3/9)/(d/(-18)). Put -0.3, -3, j in ascending order.
-3, j, -0.3
Let s(a) = a**2 + 7*a - 13. Suppose -m - 3 = 2*b, -20 - 4 = 3*m + b. Let n be s(m). Sort n, 4, 2.
2, 4, n
Let c be 0/(-1 - 9/(-3)). Suppose c = -s - 0*s - 1. Let i be -1 + (s - (-6)/1). Sort 3, -4, i in descending order.
i, 3, -4
Suppose 0 = 2*x - 2*o + 5 + 13, 4*o = -2*x + 12. Suppose -2*b + k = -6*b + 15, -2*b + 30 = -4*k. Let c be 1*(2/1 - 3). Sort b, c, x in decreasing order.
b, c, x
Let f = -27 + 27. Put 5, f, -0.4 in decreasing order.
5, f, -0.4
Let b = -5.02 - -0.02. Let n = -0.4 - -0.48. Let x = -0.38 + n. Put b, 4, x in increasing order.
b, x, 4
Let m = 90 + -114. Sort 4, -3, m.
m, -3, 4
Let v be (-1)/(-6) - (-38)/(-12). Suppose -5*q = 4*r + 1 - 11, q = r + 2. Put v, q, -1 in descending order.
q, -1, v
Let b(n) = n**2 + 3*n + 2. Let t be b(-1). Sort 2, 1, t in descending order.
2, 1, t
Suppose -1 = 2*o + 11. Put 3, -2, o in increasing order.
o, -2, 3
Let s = 7 + -4. Sort 5, -9, s in descending order.
5, s, -9
Suppose -4*d = 2*d + 6. Put 17, d, 2, -2 in increasing order.
-2, d, 2, 17
Let f = -2.4 + -3.1. Let s = f - -6. Sort s, -3, -4.
-4, -3, s
Let n = 17.1 - 17. Sort n, -1/4, 0.4 in descending order.
0.4, n, -1/4
Let l(h) = -2*h - 5. Let z be l(-5). Sort 4, 0, z, 6 in decreasing order.
6, z, 4, 0
Let v = -3 - -3. Let f be v - 4*(-1)/(-2). Let k = f + 4. Sort 1, k, 4 in descending order.
4, k, 1
Let t(u) = 2*u - 6. Let q be t(8). Put 3, q, 5 in descending order.
q, 5, 3
Let o = 4 - 1. Let j be (3/(-1))/(o/(-3)). Suppose 0 = -j*v + 6. Put 3/2, 0.5, v in decreasing order.
v, 3/2, 0.5
Let h(p) = -p - 3. Let a be h(-3). Put a, -2, 3 in increasing order.
-2, a, 3
Let v = -0.3 + 0.1. Suppose 5*q - 8 = 13*q. Sort -0.1, q, v.
q, v, -0.1
Let x = -49049 + 12360277/252. Let u = x + 2/63. Sort u, 0.1, 1/5 in increasing order.
u, 0.1, 1/5
Let u = 1.3 + -0.8. Let b = -1.8 - -2. Put 2/5, u, b in decreasing order.
u, 2/5, b
Let b(x) = -3*x - 3. Let f be b(-6). Let c = -12 + f. Put 0.3, c, -2/19 in increasing order.
-2/19, 0.3, c
Let x be 2/(-6)*0 - 4. Suppose -2*z - 3*z + 10 = 0. Sort x, -2, z in descending order.
z, -2, x
Suppose 3*t - 40 = -7*t. Put 0, t, -3, 2 in decreasing order.
t, 2, 0, -3
Suppose 3*x - 2*r + 15 = 0, 2*r + 0 = 6. Suppose 0 = -0*k - 5*k + 70. Suppose 0 = 4*m - 3*g + 13, -4*m + 0*m = -2*g + k. Put m, x, -1 in ascending order.
m, x, -1
Suppose g - 4*o = 3, -4*g + 2*o - 21 = -g. Let a = -13 - g. Put 0, -23, a in descending order.
0, a, -23
Let b be (12/(-9))/((-6)/18). Put b, -18, 2 in descending order.
b, 2, -18
Let s = 82 + -86. Suppose -6*w + w + 4*j = -11, j = w - 3. Sort -0.5, s, w in descending order.
-0.5, w, s
Let z be 156/(-28) - (-4)/7. Sort z, 5, 0, 3.
z, 0, 3, 5
Let h(t) = 3*t + 5. Let q be h(-5). Let l = 9 + q. Put 3, -5, l in increasing order.
-5, l, 3
Suppose -p + 36 = 2*p. Suppose -p = 2*f + f. Let j = -13 + 8. Put -2, f, j in descending order.
-2, f, j
Suppose -4*y - 1 = -21. Suppose 5 = k + 8. Sort 2, k, y.
k, 2, y
Let z = 2.4 + -2.4. Sort -3, z, -2.
-3, -2, z
Suppose 0 = 5*z - 3 - 22. Let s be (-2)/z + 3/(-5). Sort -4, -3, s in decreasing order.
s, -3, -4
Suppose -2*q - 26 = -5*c, 3*q - 1 + 10 = 0. Suppose -8 = 3*b + 1. Let o = 4 - 9. Put b, o, c in increasing order.
o, b, c
Suppose 3*p - 14 = g, 4*g - 6 + 38 = 4*p. Let m(w) = 9 - 6*w + 3*w + 6*w - 5*w. Let u be m(6). Sort 5, p, u in decreasing order.
5, p, u
Let q(h) = h**2 - 3*h - 6. Let f be q(5). Suppose -f = -0*k - 2*k. Sort 1, 3, k in increasing order.
1, k, 3
Suppose -18*z - 15 = -13*z. Sort 2, z, -2 in descending order.
2, -2, z
Let m be 10 + -2 + -1 + 1. Let u be (-10)/m - (-3)/12. Sort -3, 5, u in descending order.
5, u, -3
Let w be 4*(-2)/(-6)*(-26 + 23). Sort -1, 0, w in increasing order.
w, -1, 0
Let v(c) = -c + 17. Let z be v(14). Suppose 8*n - z*n = 0. Sort n, 4, 5 in ascending order.
n, 4, 5
Let s be -1*(13/(-20) - 20/(-50)). Put -0.3, s, 0, -1 in decreasing order.
s, 0, -0.3, -1
Let h be 3*1/(-4)*4. Let z = -14 + 19. Suppose -2*s - a = 2, 4 = -3*a + z*a. Sort -4, h, s in descending order.
s, h, -4
Let r = -72 - -76. Sort -0.4, r, 1/16, 1 in decreasing order.
r, 1, 1/16, -0.4
Let n be 8/20*(6/4 + 1). Sort 5, 2, n.
n, 2, 5
Let d be (-1 + -1 - -2)/(-3). Put -0.16, 0.5, d in descending order.
0.5, d, -0.16
Suppose 5*w = 0, -l = -4*w + 6*w + 2. Let q be 1/(-2) - 9/2. Put l, 2, q in ascending order.
q, l, 2
Suppose -5*z - 2 = -0*a + 3*a, 3*a + 16 = 2*z. Let s = 48 - 48.5. Sort z, s, 1 in increasing order.
s, 1, z
Let k = 0.04 - 0.14. Put k, 5, -5 in descending order.
5, k, -5
Let c = -19 - -19.2. Sort c, 4, 2/9 in ascending order.
c, 2/9, 4
Let k = -2 - -3. Let l = -0.8 + k. Let u be (-6 - -6)/(-7) - (-2)/(-5). Sort u, 1, l in descending order.
1, l, u
Let p be (0 - 0 - 224)/(-1). Let a be (21/p)/((-1)/(-4)). Put 5, 0.6, a in ascending order.
a, 0.6, 5
Let u be -4 - (6 + -7 + -6). Suppose -z + k = 0, -2*k = -2 - 0. Suppose -4*t - z + 9 = 0. Sort u, 1, t in increasing order.
1, t, u
Let f = 14.6 + -12.6. Put 0.02, f, -0.1 in increasing order.
-0.1, 0.02, f
Suppose 0 = -0*b + b - 5. Let o be (-4)/8*-4 - -3. Suppose 3*f + 5*h + 32 = -8, 5 = 4*f - o*h. Sort f, b, 0.
f, 0, b
Let j = 121 + -119. Sort -1, 1, j, 3.
-1, 1, j, 3
Let a = -0.06 + 1.06. Sort 3, a, -9 in decreasing order.
3, a, -9
Let m(i) = -i**3 - 5*i**2 - i - 3. Let t be m(-5). Let c = t - 5. Sort -2, 5, c in decreasing order.
5, -2, c
Let d = -3 - -1. Let m = -0.6 + 0.53. Let c = m + -0.03. Put d, 5, c in decreasing order.
5, c, d
Let i = 3.2 - -0.2. Let v = 1.6 + i. Sort v, 3, -9 in ascending order.
-9, 3, v
Suppose 4*y - 3*n = -n + 10, -2*n = -5*y + 14. Let r be y/(-18) + 24/(-135). Put r, -5, 3 in decreasing order.
3, r, -5
Let i(s) be the first derivative of -s**3/3 - 7*s**2/2 + 13*s + 1. Let u be (9/(-2))/(12/24). Let z be i(u). Sort z, 1/8, -2/7 in decreasing order.
1/8, -2/7, z
Let c = 23 - 21. Suppose 0 = -d - x + 4, 0 = 4*d | {
"pile_set_name": "DM Mathematics"
} |
What is prob of sequence gu when two letters picked without replacement from {h: 3, d: 2, g: 1, u: 2, r: 6, p: 1}?
1/105
What is prob of sequence njl when three letters picked without replacement from {x: 1, j: 1, n: 2, l: 4}?
1/42
Two letters picked without replacement from rrrqeawewaaqrrw. Give prob of sequence aw.
3/70
Three letters picked without replacement from {h: 5, u: 14, m: 1}. What is prob of sequence uhu?
91/684
What is prob of sequence jjjj when four letters picked without replacement from {j: 10}?
1
Two letters picked without replacement from {x: 3, f: 1, b: 1, d: 2}. What is prob of sequence df?
1/21
Four letters picked without replacement from {z: 5, k: 8, e: 4, o: 2}. Give prob of sequence zekk.
35/2907
What is prob of sequence iwc when three letters picked without replacement from {c: 2, w: 4, i: 1, p: 4}?
4/495
Two letters picked without replacement from {o: 10, f: 2}. What is prob of sequence oo?
15/22
Two letters picked without replacement from fdskx. Give prob of sequence df.
1/20
Two letters picked without replacement from iaaammaaimafmima. What is prob of sequence af?
7/240
Four letters picked without replacement from xxppx. What is prob of sequence pxxp?
1/10
Three letters picked without replacement from jjggggggjggggg. Give prob of sequence ggg.
165/364
Two letters picked without replacement from tyytyyyytty. What is prob of sequence tt?
6/55
What is prob of sequence tyo when three letters picked without replacement from {t: 2, p: 6, y: 1, o: 9, q: 1, c: 1}?
1/380
What is prob of sequence bb when two letters picked without replacement from wzbbwbbwwbw?
2/11
What is prob of sequence bbb when three letters picked without replacement from zzbbbbbbbbbb?
6/11
Two letters picked without replacement from gbysj. Give prob of sequence bs.
1/20
Calculate prob of sequence sssx when four letters picked without replacement from xssxxsxssssx.
35/396
What is prob of sequence euu when three letters picked without replacement from {c: 2, e: 1, u: 2, i: 4}?
1/252
Four letters picked without replacement from {y: 2, p: 2, o: 4}. What is prob of sequence yoyy?
0
What is prob of sequence ieww when four letters picked without replacement from {l: 1, e: 2, y: 1, w: 2, i: 1}?
1/210
What is prob of sequence ngam when four letters picked without replacement from nnagagwagmgna?
2/715
Calculate prob of sequence uujv when four letters picked without replacement from {j: 1, v: 3, x: 1, u: 2}.
1/140
Two letters picked without replacement from vltellgttvtvvtvvg. Give prob of sequence el.
3/272
Two letters picked without replacement from jxxxjxjxxxxjxxxxjxx. Give prob of sequence xj.
35/171
Calculate prob of sequence ud when two letters picked without replacement from udlluuuxu.
5/72
Three letters picked without replacement from vvqqttitsvl. Give prob of sequence lqv.
1/165
Calculate prob of sequence zy when two letters picked without replacement from zyzyqqqzytzyztqzzy.
35/306
Four letters picked without replacement from nejllnlll. What is prob of sequence lnej?
5/1512
What is prob of sequence ckko when four letters picked without replacement from {k: 5, c: 5, o: 1, i: 5, f: 2}?
5/3672
Four letters picked without replacement from {l: 5, t: 1, d: 4}. Give prob of sequence lddl.
1/21
Two letters picked without replacement from {v: 14, i: 1, c: 2}. Give prob of sequence vc.
7/68
Calculate prob of sequence wws when three letters picked without replacement from {s: 6, w: 6}.
3/22
Two letters picked without replacement from zxmzzrzm. What is prob of sequence zm?
1/7
What is prob of sequence eee when three letters picked without replacement from {e: 11, g: 2}?
15/26
Three letters picked without replacement from ceccgggeeeegcg. Give prob of sequence eee.
5/182
Two letters picked without replacement from {g: 4, t: 2, f: 8, y: 2}. Give prob of sequence fg.
2/15
Four letters picked without replacement from biiiiiiibiiii. What is prob of sequence iiib?
3/26
What is prob of sequence brox when four letters picked without replacement from frjxjojrbrrjj?
1/4290
Four letters picked without replacement from appspsafsfpap. What is prob of sequence ssfa?
3/1430
Two letters picked without replacement from {q: 2, j: 5, d: 1, u: 1}. What is prob of sequence ju?
5/72
What is prob of sequence wh when two letters picked without replacement from {h: 11, g: 1, u: 1, k: 1, f: 2, w: 2}?
11/153
Three letters picked without replacement from afkkofoaa. Give prob of sequence oof.
1/126
Calculate prob of sequence qqw when three letters picked without replacement from {p: 1, w: 3, z: 4, q: 2}.
1/120
What is prob of sequence erz when three letters picked without replacement from {m: 2, r: 3, a: 1, z: 3, t: 7, e: 1}?
3/1360
Calculate prob of sequence iw when two letters picked without replacement from {w: 2, m: 2, i: 1, v: 1}.
1/15
Two letters picked without replacement from {l: 1, y: 2, d: 1, h: 1}. What is prob of sequence hy?
1/10
Calculate prob of sequence zp when two letters picked without replacement from zzzpzzzp.
3/14
Calculate prob of sequence ag when two letters picked without replacement from {f: 1, g: 1, a: 1}.
1/6
Four letters picked without replacement from tzotfub. Give prob of sequence zfou.
1/840
Two letters picked without replacement from lsxelqq. What is prob of sequence el?
1/21
What is prob of sequence kz when two letters picked without replacement from mjkzg?
1/20
Three letters picked without replacement from {w: 1, d: 1, u: 1, f: 2, g: 1, l: 1}. What is prob of sequence ffd?
1/105
Four letters picked without replacement from lzidxilk. What is prob of sequence dlxk?
1/840
Four letters picked without replacement from urndnaur. What is prob of sequence rdrn?
1/420
What is prob of sequence hhv when three letters picked without replacement from hvhvhhvh?
5/28
What is prob of sequence ojjo when four letters picked without replacement from ojojjjjjjjjjojoo?
55/1092
Two letters picked without replacement from {q: 1, x: 2, e: 1}. Give prob of sequence xq.
1/6
Four letters picked without replacement from iswlwssdwsrllis. Give prob of sequence dlrw.
1/3640
Three letters picked without replacement from {h: 3, d: 4}. Give prob of sequence hhd.
4/35
Calculate prob of sequence zji when three letters picked without replacement from zjcijjjcjiczjijjj.
9/680
Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}.
1
What is prob of sequence at when two letters picked without replacement from oaaotoooa?
1/24
Calculate prob of sequence dbb when three letters picked without replacement from {b: 12, d: 1}.
1/13
Four letters picked without replacement from xxiiiiixixihxx. What is prob of sequence iiih?
5/572
What is prob of sequence ov when two letters picked without replacement from vvo?
1/3
Two letters picked without replacement from bjww. What is prob of sequence wb?
1/6
Three letters picked without replacement from {y: 2, n: 1, q: 5, g: 1, h: 1}. What is prob of sequence yqy?
1/72
What is prob of sequence za when two letters picked without replacement from {a: 3, z: 1, k: 2, i: 1}?
1/14
What is prob of sequence dq when two letters picked without replacement from dvdqv?
1/10
Calculate prob of sequence xd when two letters picked without replacement from vddvxvddd.
5/72
What is prob of sequence rlm when three letters picked without replacement from mwdddmmmmlmrddw?
1/455
Calculate prob of sequence xa when two letters picked without replacement from xwgahahgggwh.
1/66
Calculate prob of sequence kvk when three letters picked without replacement from {k: 1, v: 3}.
0
Four letters picked without replacement from {r: 3, f: 1, q: 6, s: 4}. Give prob of sequence qrsr.
6/1001
What is prob of sequence dd when two letters picked without replacement from tttttttdtttdttdttttd?
3/95
Calculate prob of sequence rqr when three letters picked without replacement from {r: 13, q: 3}.
39/280
Four letters picked without replacement from {o: 5, z: 4, e: 1, v: 1, u: 4}. Give prob of sequence oeuz.
2/819
Calculate prob of sequence dyd when three letters picked without replacement from {d: 2, y: 8}.
1/45
Three letters picked without replacement from {n: 1, k: 1, p: 2}. What is prob of sequence nkp?
1/12
Calculate prob of sequence aiia when four letters picked without replace | {
"pile_set_name": "DM Mathematics"
} |
vided by 76?
74
Calculate the remainder when 26097 is divided by 63.
15
What is the remainder when 76472 is divided by 25488?
8
Calculate the remainder when 1198511 is divided by 164.
163
What is the remainder when 23031 is divided by 7660?
51
Calculate the remainder when 7937 is divided by 72.
17
What is the remainder when 35536 is divided by 35431?
105
What is the remainder when 14090 is divided by 52?
50
Calculate the remainder when 11637 is divided by 140.
17
Calculate the remainder when 11306 is divided by 435.
431
What is the remainder when 191946 is divided by 55?
51
What is the remainder when 62421 is divided by 275?
271
Calculate the remainder when 7092 is divided by 512.
436
Calculate the remainder when 75328 is divided by 186.
184
What is the remainder when 3959 is divided by 1101?
656
Calculate the remainder when 13793 is divided by 1046.
195
What is the remainder when 31750 is divided by 9985?
1795
Calculate the remainder when 1760337 is divided by 12.
9
Calculate the remainder when 6711 is divided by 38.
23
Calculate the remainder when 57938 is divided by 2313.
113
What is the remainder when 14234 is divided by 50?
34
Calculate the remainder when 1593 is divided by 6.
3
Calculate the remainder when 4269626 is divided by 7.
4
What is the remainder when 735336 is divided by 233?
221
Calculate the remainder when 111832 is divided by 342.
340
What is the remainder when 512245 is divided by 21?
13
Calculate the remainder when 35415 is divided by 3219.
6
Calculate the remainder when 604 is divided by 198.
10
What is the remainder when 154291 is divided by 17?
16
Calculate the remainder when 130266 is divided by 15.
6
What is the remainder when 124604 is divided by 352?
348
What is the remainder when 4839 is divided by 255?
249
What is the remainder when 7141 is divided by 144?
85
What is the remainder when 275 is divided by 24?
11
What is the remainder when 44875 is divided by 146?
53
What is the remainder when 22895349 is divided by 989?
988
What is the remainder when 5126 is divided by 1020?
26
What is the remainder when 33340 is divided by 641?
8
Calculate the remainder when 59271 is divided by 37.
34
Calculate the remainder when 10669 is divided by 1778.
1
What is the remainder when 17687 is divided by 226?
59
Calculate the remainder when 4733 is divided by 633.
302
Calculate the remainder when 65471 is divided by 153.
140
What is the remainder when 35141 is divided by 191?
188
What is the remainder when 2448 is divided by 1223?
2
Calculate the remainder when 73261 is divided by 177.
160
Calculate the remainder when 106187 is divided by 27.
23
Calculate the remainder when 23638 is divided by 2180.
1838
Calculate the remainder when 109338 is divided by 20.
18
What is the remainder when 13028 is divided by 43?
42
What is the remainder when 60478 is divided by 30235?
8
What is the remainder when 1306299 is divided by 211?
209
Calculate the remainder when 14622 is divided by 168.
6
Calculate the remainder when 9339 is divided by 3050.
189
What is the remainder when 97703 is divided by 114?
5
Calculate the remainder when 882 is divided by 5.
2
Calculate the remainder when 1322 is divided by 654.
14
What is the remainder when 303975 is divided by 2?
1
What is the remainder when 4304 is divided by 1421?
41
Calculate the remainder when 2609 is divided by 2502.
107
What is the remainder when 1180 is divided by 292?
12
What is the remainder when 2767 is divided by 1305?
157
What is the remainder when 6744 is divided by 753?
720
What is the remainder when 875 is divided by 332?
211
Calculate the remainder when 384464 is divided by 128152.
8
Calculate the remainder when 17306 is divided by 13.
3
Calculate the remainder when 12939 is divided by 671.
190
Calculate the remainder when 27426 is divided by 13705.
16
Calculate the remainder when 214873 is divided by 7.
1
What is the remainder when 1524 is divided by 461?
141
Calculate the remainder when 5332 is divided by 80.
52
What is the remainder when 20189817 is divided by 20?
17
Calculate the remainder when 9421 is divided by 2285.
281
What is the remainder when 47001 is divided by 9398?
11
What is the remainder when 230094 is divided by 13?
7
What is the remainder when 36663 is divided by 611?
3
Calculate the remainder when 17536 is divided by 3501.
31
What is the remainder when 2582 is divided by 336?
230
Calculate the remainder when 132484 is divided by 44148.
40
Calculate the remainder when 9935 is divided by 696.
191
Calculate the remainder when 15951 is divided by 1328.
15
What is the remainder when 10284 is divided by 352?
76
Calculate the remainder when 37619 is divided by 2883.
140
Calculate the remainder when 3333 is divided by 3286.
47
Calculate the remainder when 32999 is divided by 1440.
1319
Calculate the remainder when 459041 is divided by 8.
1
Calculate the remainder when 5416 is divided by 14.
12
What is the remainder when 5335 is divided by 248?
127
Calculate the remainder when 7373 is divided by 1006.
331
Calculate the remainder when 30341 is divided by 8.
5
Calculate the remainder when 3512 is divided by 292.
8
Calculate the remainder when 412533 is divided by 97.
89
What is the remainder when 5946 is divided by 32?
26
What is the remainder when 282733 is divided by 547?
481
Calculate the remainder when 85633 is divided by 2762.
11
Calculate the remainder when 233617 is divided by 20.
17
Calculate the remainder when 25144 is divided by 8378.
10
Calculate the remainder when 2802 is divided by 68.
14
What is the remainder when 155935 is divided by 15?
10
Calculate the remainder when 395 is divided by 364.
31
What is the remainder when 3841 is divided by 94?
81
Calculate the remainder when 15274 is divided by 103.
30
What is the remainder when 20067 is divided by 26?
21
What is the remainder when 149434 is divided by 849?
10
Calculate the remainder when 1917 is divided by 567.
216
Calculate the remainder when 415490 is divided by 7.
5
Calculate the remainder when 22008 is divided by 756.
84
Calculate the remainder when 1194 is divided by 139.
82
Calculate the remainder when 2607 is divided by 57.
42
What is the remainder when 2079354 is divided by 409?
407
Calculate the remainder when 1280 is divided by 417.
29
Calculate the remainder when 190950 is divided by 37.
30
What is the remainder when 4155 is divided by 121?
41
What is the remainder when 2261 is divided by 20?
1
What is the remainder when 1302 is divided by 146?
134
Calculate the remainder when 18678 is divided by 3110.
18
Calculate the remainder when 2587 is divided by 682.
541
What is the remainder when 17426 is divided by 1036?
850
Calculate the remainder when 33552 is divided by 11178.
18
What is the remainder when 8699 is divided by 45?
14
What is the remainder when 45294 is divided by 89?
82
Calculate the remainder when 17086 is divided by 32.
30
What is the remainder when 10167 is divided by 19?
2
Calculate the remainder when 6894 is divided by 3415.
64
Calculate the remainder when 11029 is divided by 3652.
73
Calculate the remainder when 38032 is divided by 225.
7
Calculate the remainder when 1808 is divided by 39.
14
What is the remainder when 6438 is divided by 842?
544
Calculate the remainder when 2318 is divided by 284.
46
What is the remainder when 1218 is divided by 33?
30
What is the remainder when 108954 is divided by 36314?
12
Calculate the remainder when 10317 is divided by 1259.
245
Calculate the remainder when 1091823 is divided by 268.
259
What is the remainder when 3563 is divided by 38?
29
What is the remainder when 382009 is divided by 504?
481
What is the remainder when 28325 is divided by 19?
15
Calculate the remainder when 119296 is divided by 177.
175
Calculate the remainder when 17384 is divided by 388.
312
Calculate the remainder when 16687 is divided by 4169.
11
What is the remainder when 72031 is divided by 13?
11
What is the remainder when 10210 is divided by 211?
82
What is the remainder when 95217 is divided by 13?
5
What is the remainder when 2504 is divided by 120?
104
What is the remainder when 2765 is divided by 125?
15
What is the remainder when 5122 is divided by 349?
236
What is the remainder when 275 is divided by 23?
22
Calculate the remainder when 5137102 is divided by | {
"pile_set_name": "DM Mathematics"
} |
c**3).
-3096*c**4
Expand (6 - 4 + 12)*(s**2 - 5*s**2 + 0*s**2)*(32 - 1 - 7)*(0 - 5 + 3).
2688*s**2
Expand (-3*t + 0*t + 2*t + (2 + 2 - 5)*(0*t - 2*t + t) + 2*t + 1 - 1)*(0 + 1 + 1 - 4 + 4 + 4 - 4 + 5 - 3 + (0 + 0 + 2)*(2 + 1 - 5) - 5 + 2 + 0).
-6*t
Expand ((-2 + 0 + 0)*(-2 + n + 2) + 19*n + 126*n + 231*n)*(6 - 4 + 0)*(6 - 2*n**4 - 7 + 5*n**4).
2244*n**5 - 748*n
Expand (191*s**2 - 122*s**2 + 115*s**2)*(0 + 5 - 1).
736*s**2
Expand (-2*g**2 + g**2 + 0*g**2)*(14 - 14 - 7*g)*(51*g + 9*g + 58*g).
826*g**4
Expand -x**4 + 2*x**4 - 3*x**4 + (6 - 6 - 4)*(-27 + 17 - 106*x**4 + 11).
422*x**4 - 4
Expand (-129 + 55 - 119)*(-l - 4*l + 2*l)*(0*l + 3*l - 5*l).
-1158*l**2
Expand (-11 - 11 + 11)*(-49 + 57 - 31)*(-2*r**5 + r**5 + 2*r**5).
253*r**5
Expand (-2*r + r + 6*r)*(-10 + 2*r + 9 - 45*r**4 + 46*r**4).
5*r**5 + 10*r**2 - 5*r
Expand -25*s - 10199 + 5*s + 10191 + 7*s**2 + s**2 + 2*s**2 - 2*s**2 - 3 + 3 - s**2 + (s + 0*s + s)*(0*s + 0*s + 2*s).
11*s**2 - 20*s - 8
Expand 18*y + 13*y + 29*y + (4*y + 0*y - 2*y)*(3 - 1 - 3) - 3*y + 351 - 2*y - 335 + (0*y - 2*y + 0*y)*(1 - 4 + 1).
57*y + 16
Expand (-v**3 + v**3 + v**4)*((-25*v + 20*v + 53*v)*(0 + 4 - 2) - 40 + 40 - 25*v).
71*v**5
Expand -2*i**4 - 5*i + 5*i + (-3*i**2 + 0*i**2 - 2*i**2)*(0*i**2 - 3*i**2 + 5*i**2) + (-8 - 1418*i**3 - 1415*i**3 + 2829*i**3)*(3*i - 3*i - i).
-8*i**4 + 8*i
Expand (-35*u**4 + 48*u**3 - 48*u**3)*(-9 + 3 - 3)*(2*u - 2*u - 2*u)*(1 - 2 + 8).
-4410*u**5
Expand (4*y + 3 - 3)*(2*y**2 - 4*y**2 + y**2) - 2874*y + 2874*y - 109*y**3.
-113*y**3
Expand (0*u + 5*u - 3*u)*(3*u**4 + 2*u**4 - 6*u**4) - 29641*u**5 - 10734*u**5 + 22309*u**5.
-18068*u**5
Expand (-27*f + 45*f + 67*f)*((-f**2 + 0*f + 0*f)*(2 + 2*f - 2) + 45*f**3 - 7*f**3 + 0*f**3).
3060*f**4
Expand (20 + 2 + 3)*(-5 - 16*g - 1 + 5).
-400*g - 25
Expand (-4*r - 61 + 61)*(-4 + 3 + 0)*(-158*r - 46*r - 79*r).
-1132*r**2
Expand r**5 - 4*r**5 + 2*r**5 + (48*r + r**4 - 48*r - 1 + (r**3 - 4*r**3 + 2*r**3)*(2*r + 19 - 19))*(5*r - 4*r + 25*r).
-27*r**5 - 26*r
Expand (-4 + 2 + 0)*(-8374*t**2 + 15926*t**2 - 8398*t**2).
1692*t**2
Expand -9*w**5 + 5*w**5 + 12*w**5 + (-1 + 3 + 3)*(w**2 - w**2 - 3*w**5) + (0*w**3 - 2*w**3 + 3*w**3)*(2*w**2 - 7*w**2 + 0*w**2) + 0*w**4 + 0*w**4 - 2*w**5.
-14*w**5
Expand (-2*b**3 + 0*b + 0*b)*(2*b - 3*b + 3*b) - 7*b**4 - 12*b**4 + 12*b**4 + 5*b + (0*b**4 + 4*b**4 + 0*b**4)*(2 + 4 + 0).
13*b**4 + 5*b
Expand 0*n + 4*n**5 + 0*n + (0*n**2 + n**2 + n**2)*(-4*n**3 - 14*n + 14*n) - n**5 + 4*n**5 + 2*n**5.
n**5
Expand (-2*l + l + 0*l)*(-12 + 1 + 4)*(-1 - 2 + 1).
-14*l
Expand (4*u**3 - 28*u**3 - 11*u**3)*(u + 0*u + u)*(11 - 11 + 10*u).
-700*u**5
Expand 2*t - 2*t - 2*t**2 + (t + 0*t + t)*(-6537 - 364*t + 24*t + 6539).
-682*t**2 + 4*t
Expand (0 + 7 - 2)*(-18*u - 10*u + 14*u).
-70*u
Expand (7*x + 3 - 7 + 2)*(-7*x**3 - 8*x**3 - 11*x**3) - x**4 - x**2 + x**2 - 2*x**4 + 0*x**4 + x**4 + (-2 + 2 - x)*(0*x**3 + 3*x**3 - 2*x**3) - 1 + x**4 + 1.
-184*x**4 + 52*x**3
Expand (-4 - 1 + 6)*(3 + 5 + 0)*(-1613 + 1613 + 74*d)*(2 + 0 - 3) + (1 - 1 + 2)*(-1 + 1 - 3*d).
-598*d
Expand (396 + 709 - 144)*(-4*p + 4*p + 3*p**3).
2883*p**3
Expand (2*d + d - d)*(-d + 3*d - 3*d)*(-6231 + 1229 - 10894 - 1765 - 5903).
47128*d**2
Expand (143 + 231 - 42)*(3*g - 3*g + g**3) - g + g + 3*g**3.
335*g**3
Expand ((-4*i + 0*i + 2*i)*(-4 + 4 + 2*i) - 1933*i**2 + i - 3978912 - i + 3978912)*(4 + i - 4).
-1937*i**3
Expand 2*k**4 + 4*k**4 + 0*k**4 + (10*k**4 - 23*k**4 - 66*k**4)*(2 - 3 + 0).
85*k**4
Expand 8 - 8 - 5*z**4 - 8*z**4 - 2*z**4 - 33*z**4 + (-6 + 3 + 4)*(-7*z**2 - 4*z**4 + 7*z**2).
-52*z**4
Expand -f + 0*f - f - 2*f + 4*f + 0*f - 10 + 8*f + 10 + (-f - 2*f + 4*f)*(0 - 2 + 0) + 7*f - 5*f + 0*f.
8*f
Expand (-49 + 49 - 3*w**2)*(-15 + 8 - 11 - 5).
69*w**2
Expand (1 + c - 1)*(13 + 24 + 24)*(0 - 2 + 1)*(-3 + 4 - 3).
122*c
Expand (0 + 0 + j)*(-2 - 5213*j + 5140*j + 1)*(-2*j - j + 7*j).
-292*j**3 - 4*j**2
Expand (3*v**2 + 3*v**2 - 4*v**2)*(408*v - 943*v - 601*v) - 4*v**3 + 3*v**3 - 3*v**3.
-2276*v**3
Expand (d**3 + 2*d**3 - 46*d**3)*(0*d - 2*d + 0*d) - 2*d + d**4 + 2*d + d**4 - 2*d**4 + 4*d**4.
90*d**4
Expand (247 - 43 + 2*r + 23 - 2*r**2)*(-2*r - 3*r - 8*r).
26*r**3 - 26*r**2 - 2951*r
Expand (-2 + 440*k**2 + 1 - 339*k**2)*((-2*k + 0*k + 4*k)*(-1 + 4 - 2) + 3*k + 4*k - 5*k) + k**2 - k**2 - k**3.
403*k**3 - 4*k
Expand (23*j - 9*j - 60*j + 22 + 5)*(8*j + 0 + 0).
-368*j**2 + 216*j
Expand -l + 4*l - 2*l + (0*l - l + 0*l)*(1 + 2 - 4) + l - 3*l + 0*l - 3*l + l + l + (0*l + 0*l + 2*l)*(0 + 1 - 2) + (0 - 1 + 10)*(3 - 3 + 4*l).
33*l
Expand -122*t**3 + 122*t**3 + 30*t**5 + (-2*t + 2*t + 2*t**2)*(-5*t + 3*t**3 + 5*t) - 12*t**4 + 7*t**5 + 12*t**4.
43*t**5
Expand -476*i**4 + 111*i**2 - 111*i**2 + 2*i**4 + 0*i + 0*i + (2*i**2 + 2*i - 2*i)*(-2*i**2 - 2*i**2 + 5*i**2).
-472*i**4
Expand w**4 - 14 + 14 + (3*w**3 - 3*w**3 - w**3)*(0*w - w + 0*w) + 1145*w**2 - 574*w**2 - 466*w**2 + 2*w**4.
4*w**4 + 105*w**2
Expand (0*b**2 - 2*b**2 + 4*b**2)*(-2*b**2 + b**2 - 3*b**2)*(152 + 511 - 299 + 466 + 167).
-7976*b**4
Expand (4244 - 10705 + 898)*(2*g - 4 - 4*g + 2).
11126*g + 11126
Expand 258*g - 590*g - 26*g - 2 + (-1 + 1 - g)*(2 - 4 - 3).
-353*g - 2
Expand (-i**3 + 0*i + 0*i)*(66*i + 76*i - 217*i) + 4*i**3 - 4*i**3 - 5*i**4 + 2*i**4 - 3*i + i**2 - 56 + 56.
72*i**4 + i**2 - 3*i
Expand (-2*k + k**2 + 2*k)*(77*k - 438*k + 96*k) + (-2*k**2 + 3*k - 3*k)*(k + 0 + 0) - 2*k**3 - 4*k**3 + 3*k**3.
-270*k**3
Expand 3*r**4 - 3*r**4 - r**4 + (-4 - 757*r + 757*r - 13*r**2)*(r**2 + 1 - 1).
-14*r**4 - 4*r**2
Expand (-l + 3*l - l)*(-1 + 3 + 1)*(214*l + 3*l**2 - 214*l - 50*l**4).
-150*l**5 + 9*l**3
Expand (-113*d - 1719 + 1719)*(3*d + 2 - 2)*(3*d - 4*d + 5*d + (-d + 0*d - d)*(3 + 2 - 7)).
-2712*d**3
Expand (-377 + 385 + l - 2*l**2 - 2*l**2 + (-2*l + 5*l - 2*l)*(l + 2*l - 2*l))*(-4*l + 4*l + 3*l**2).
-9*l**4 + 3*l**3 + 24*l**2
Expand 542588 + 249*r - 542588 - r**2 - 2*r**2 + 3*r**2 + r**2 + (-r + 3*r + 0*r)*(3 - 3 + r).
3*r**2 + 249*r
Expand ((2 - 4 + 3)*(-4*j + 8*j + 27*j)*(0 - 3 + 2) + (-j + 0 + 0)*(-2 - 2 + 7))*(17*j**3 - 55*j + 55*j).
-578*j**4
Expand (210 - 316 - 201)*(-2 + 1 - 2)*(5*j**2 - 5*j**2 - j**3).
-921*j**3
Expand -5*a**2 + 3*a**2 + 3*a**2 + (0*a + 0*a + 11*a)*(-2*a + 7 + 4 - 12).
-21*a**2 - 11*a
Expand (-502978 + 502978 + 5936*s)*(-4 + 2 + 1).
-5936*s
Expand (-u - 2*u + 4*u)*(4 - 2 - 4) - 2*u - 3 + 3 - 4*u + 7*u - 2*u + 0*u + 0*u + 2*u - 3*u + 4*u - 2*u - 1 + u + 1 + (573 + 772 + 2145)*(0*u + 0*u + u).
3489*u
Expand (1 + 2 - 2)*(1430 - 35*d - 1430) + 1 - 1 + 2*d - 2 - d + 2 + (-2 + 2 - d)*(-1 - 3 + 6).
-36*d
Expand (-13*c + 9*c - 6*c)*(4 + 3 - 5)*(-c - c + 0*c)*(2*c - c - 12*c)*(0*c**2 - 2*c**2 - 3*c**2).
2200*c**5
Expand 3*k**2 - k**2 - 5*k**2 + 10*k - 10*k - 8*k**2 + (0*k + 4*k - 3*k)*(4*k + 4*k - 6*k) + k**2 - 15*k**2 - 16*k**2 + 2*k**2 - 3*k + 3*k.
-37*k**2
Expand (192 + 177 + 213)*(w + 2*w + 3*w).
3492*w
Expand (-351*r + 70 + 0*r**2 + r**2 + 353*r)*(-4*r - 2*r + 3*r)*(2 - 2 - 3*r).
9*r**4 + 18*r**3 + 630*r**2
Expand (30 + 20 - 5)*(h**5 + 1 - 1041*h**4 + 1041*h**4 + 30*h**3).
45*h**5 + 1350*h**3 + 45
Expand 2*b**3 + b**2 - b**2 + (-2*b + 0*b + 3*b)*(0*b**2 + 2*b**2 - b**2) + (6271*b + 7160*b - 8384*b)*(0*b**2 - 2*b**2 + b**2).
-5044*b**3
Expand (9 - 18 + 4)*((1 - 4 + 5)*(2*i - 4 + 4) + 3*i - 4*i + 3*i) + (-2*i - 2*i + i)*(-3 + 3 + 1) + 3 + 6*i - 3.
-27*i
Expand 5*w**4 - 2*w**4 - w**4 + (-w - 2 + 2)*(2456*w**3 - 1274202*w**2 + 1274202*w**2).
-2454*w**4
Expand (-4*c**5 - 2*c**5 + 7*c**5)*(2 - 2 - 1) + (-4*c + 4*c - 4*c)*(8*c**4 - 125 + 126 - 117*c**4).
435*c**5 - 4*c
Expand (o + 0*o + 0*o)*(3 + 1 - 2)*(-6 + 0 - 4)*(11 - 2 + 20)*(6 - 2 - 3).
-580*o
Expand -431*b**4 - 1000078*b**2 + 1000078*b**2 - 4*b**3 + (b**2 - b**2 - 4*b**3)*(0 + 0 - b) + b**4 - 2*b + 3*b + b**4.
-425*b**4 - 4*b**3 + b
Expand (25 - 25 - 17*b**2)*(-11*b**2 + 3*b**2 - 8*b**2) - b**4 + 4*b**4 - 5*b**4.
270*b**4
Expand (2 - 2 + 2*f)*(-2*f - f + 2*f) - 21055*f**2 + 4996*f**2 + 0 + 0.
-16061*f**2
Expand (2404*r**2 + 398*r**2 - 4818*r**2)*(-2*r**2 + 3*r**2 + r**2) + (1 + 2*r**2 - 1)*(r**2 + 1 - 1).
-4030*r**4
Expand (868321*a**2 - 868321*a**2 + a - 27*a**3)*(4 - 2 - 6).
108*a**3 - 4*a
Expand (-13*v - 20*v - 62*v)*(-v + 3 - 3) + (-3*v - 2*v + 4*v)*(0*v + v + v) + v**2 - 9*v**2 + 2*v**2.
87*v**2
Expand (-5 + 3 - 1)*(-z + z + 4*z**2)*(-2*z**3 - 4*z** | {
"pile_set_name": "DM Mathematics"
} |
he third biggest value? (a) 1.2 (b) 1 (c) -2/7 (d) 99 (e) 3
a
Which is the fifth biggest value? (a) 1 (b) 0.1 (c) -0.2 (d) -1/12 (e) -1
e
What is the third biggest value in 5, -1.643, 3?
-1.643
What is the third smallest value in 1/3, -31, 1/10, -3, -2/7?
-2/7
Which is the second smallest value? (a) -2/9 (b) -330/127 (c) 1/2
a
Which is the second smallest value? (a) -0.4 (b) -40 (c) 3/5
a
Which is the fourth biggest value? (a) -0.1 (b) -1 (c) -2/7 (d) -7/3
d
Which is the smallest value? (a) -0.06 (b) 5 (c) -5 (d) 7/4
c
Which is the second smallest value? (a) -2.14 (b) 0.5 (c) 0.3
c
What is the third biggest value in -2/7, -5, -10?
-10
Which is the fifth smallest value? (a) -3 (b) 0.05 (c) 1 (d) 0.02 (e) 0
c
What is the smallest value in -4, -2, 2, 0.2, -8?
-8
Which is the third smallest value? (a) 2 (b) -4 (c) 22 (d) -145
a
Which is the second smallest value? (a) 0.22 (b) -0.2 (c) -2/9 (d) 4/5
b
What is the biggest value in 0.035, -6, -2?
0.035
Which is the third smallest value? (a) 0.1 (b) -1/4 (c) 2/11
c
What is the fourth smallest value in 1/7, 0.2, 1.5, 0.3, 3/4?
3/4
Which is the fourth biggest value? (a) 1 (b) -1 (c) 10.7 (d) -7
d
Which is the fourth biggest value? (a) -4 (b) -4.4 (c) 1 (d) 5
b
What is the fourth smallest value in 2/15, 0.01, -11, 43?
43
What is the third smallest value in 0.1, 0.3, -3, 194?
0.3
Which is the smallest value? (a) -5 (b) 0.02 (c) 1/7
a
Which is the second smallest value? (a) -1/4 (b) 14/11 (c) -1 (d) 8 (e) 5
a
Which is the fourth biggest value? (a) 7 (b) 4/9 (c) 2.1 (d) -2 (e) 5
b
What is the third biggest value in 1/4, 2, -3, 0.9, 0.04?
1/4
What is the biggest value in 3/7, -10, 1/8?
3/7
What is the biggest value in -0.7, 5, -3.1?
5
Which is the smallest value? (a) 5/2 (b) -5 (c) 5/6 (d) -1 (e) 2
b
Which is the biggest value? (a) 38 (b) -5 (c) 2 (d) -1
a
What is the biggest value in 2/3, -0.1, -387?
2/3
Which is the fourth biggest value? (a) -2/7 (b) -1/2 (c) 3/10 (d) -1
d
What is the fourth biggest value in 0, 4, -0.03, -1/11?
-1/11
What is the biggest value in -2, -0.342, 0?
0
What is the smallest value in 4, 0.22, -5?
-5
Which is the second biggest value? (a) 3.3 (b) 4 (c) 0.1 (d) -0.15
a
Which is the second smallest value? (a) 2 (b) -2/11 (c) 5 (d) 3
a
Which is the fourth smallest value? (a) 0 (b) 18/11 (c) -2 (d) 9 (e) -4
b
What is the second smallest value in -1/2, -2, 0.53, -3?
-2
What is the second smallest value in -2, -4/5, 811.5?
-4/5
What is the second biggest value in -2, -2/3, -2/15, -1.19?
-2/3
Which is the fourth smallest value? (a) 0 (b) -52 (c) 2/13 (d) -1/9
c
What is the second smallest value in -10, 4, -5, 0.15?
-5
Which is the second smallest value? (a) 0.5 (b) -7363 (c) 0
c
Which is the smallest value? (a) 1 (b) -10 (c) -0.1
b
What is the fourth smallest value in -2/7, 1/6, -1/3, 2/107?
1/6
Which is the second smallest value? (a) -2/5 (b) -3 (c) 62 (d) 1/48 (e) -5
b
What is the third biggest value in 0.3, -1/2480, 2?
-1/2480
Which is the second biggest value? (a) -5/2 (b) -0.37 (c) -2/9 (d) 1 (e) 1/5
e
What is the third biggest value in -5, 1, -19?
-19
Which is the fourth smallest value? (a) -2/7 (b) 1/9 (c) -3 (d) -116 (e) -2/3
a
What is the third smallest value in -3, 0.2, -2, 2?
0.2
What is the third smallest value in -0.08, 4/7, -2/5?
4/7
Which is the fourth smallest value? (a) 1/2 (b) 3/2 (c) -0.1 (d) -0.04
b
Which is the second smallest value? (a) -1/5 (b) 2 (c) -1.1
a
What is the fourth biggest value in -19, -1/6, 0.2, 0.4?
-19
What is the second biggest value in 0.1, -5/9, 0.3, -4?
0.1
Which is the second smallest value? (a) -0.1 (b) 1 (c) -4 (d) 79
a
Which is the fifth smallest value? (a) -2 (b) -63 (c) 3/7 (d) -52 (e) 5
e
Which is the second biggest value? (a) 30 (b) -1/4 (c) -2 (d) 1/35
d
What is the smallest value in 15, -33, -4?
-33
Which is the second smallest value? (a) 1384 (b) 4 (c) 1
b
What is the third smallest value in 1, -0.3, 19?
19
Which is the smallest value? (a) -16 (b) -3/2 (c) -3 (d) 0.1
a
Which is the third smallest value? (a) 5 (b) 4 (c) 5.18 (d) 7
c
What is the smallest value in -0.1, 0.12, -5, -1?
-5
What is the third smallest value in -1/2, -11/78, -2/3?
-11/78
Which is the second biggest value? (a) 5 (b) -2/9 (c) -148
b
What is the smallest value in -4, 2/41, -0.1?
-4
Which is the biggest value? (a) 3 (b) -2/9 (c) 0 (d) 47/5
d
Which is the third smallest value? (a) 0.5 (b) 0 (c) -2/83
a
Which is the fourth biggest value? (a) -0.5 (b) 0 (c) -0.044 (d) 4
a
Which is the third biggest value? (a) 1/6 (b) 131 (c) -0.3
c
What is the fourth smallest value in 4, -0.2, 18, -3/80, 0.5?
4
What is the third biggest value in 2/41, -1, 1, 1/3?
2/41
Which is the second smallest value? (a) 0.03 (b) 9/2 (c) -3
a
What is the smallest value in -3/4, -4, 1/7?
-4
Which is the second smallest value? (a) 0 (b) 2 (c) -4/3
a
What is the third smallest value in 1/6, -16, -3/5, 7?
1/6
Which is the biggest value? (a) 8/11 (b) -2/7 (c) 3 (d) 2 (e) -2
c
What is the third smallest value in 4, -0.3, -0.146?
4
Which is the smallest value? (a) 0 (b) 2086 (c) 3 (d) -5 (e) -1/8
d
Which is the second biggest value? (a) -3 (b) 2.1 (c) -0.1 (d) 5
b
Which is the smallest value? (a) 1 (b) -1/6 (c) -2/3 (d) -3
d
What is the smallest value in 1.61, 0, -1/8?
-1/8
Which is the smallest value? (a) 8 (b) 7 (c) 5
c
What is the biggest value in 3/2, 1/11, -1.1?
3/2
Which is the second smallest value? (a) -54 (b) -5 (c) -3 (d) 1
b
What is the third smallest value in -0.4, -1/1403, -0.1, 0?
-1/1403
What is the third biggest value in 0.5, 2, -5, -0.1, -2/33?
-2/33
What is the biggest value in 34.6, -1, -3/2?
34.6
Which is the fifth smallest value? (a) -0.5 (b) 4 (c) 4/13 (d) -2/3 (e) 0.3
b
What is the third biggest value in 0.01, -0.3, 10, -3/4?
-0.3
What is the smallest value in 3, 3/38, 1/2?
3/38
Which is the second smallest value? (a) 2/19 (b) 1/4 (c) 0.4 (d) 4
b
What is the biggest value in -5, 0.5, 5, 0.05?
5
What is the second biggest value in 0, 427, -0.2?
0
What is the biggest value in 5, -3.3, -1/26?
5
What is the second biggest value in -1/8, -0.3, 3300?
-1/8
Which is the second biggest value? (a) -2 (b) 1.7 (c) -2/5 (d) 7/2
b
What is the third biggest value in 2/87, -1/3, -2, -2/7, -0.3?
-0.3
Which is the biggest value? (a) -28 (b) 0.3 (c) -1/4
b
Which is the biggest value? (a) 0 (b) -20/23 (c) 0.3
c
Which is the third biggest value? (a) 0.1 (b) -122/7 (c) -0.3
b
Which is the third biggest value? (a) -1 (b) 1445 (c) -0.1
a
Which is the third biggest value? (a) -2/57 (b) 0.7 (c) 2
a
What is the third biggest value in 25, 0.06, 5/4?
0.06
Which is the fourth biggest value? (a) -2/13 (b) -4 (c) 5 (d) -1
b
What is the biggest value in -16, -11, -0.02, 3?
3
What is the third biggest value in 0, 1.4, -237?
-237
What is the smallest value in 33, 1.5, 0.4?
0.4
What is the second smallest value in -0.5, 3, -2/17, 2/21?
-2/17
What is the third smallest value in -5, -0.04, 0.27?
0.27
Which is the second smallest value? (a) -0.09 (b) 2/7 (c) 4/7 (d) -5/6
a
What is the third biggest value in 0.03, 0.29, 1/3?
0.03
What is the biggest value in -2, -4, -1062?
-2
What is the fourth biggest value in -3, 2, -1, -1/4?
-3
Which is the third smallest value? (a) 2/7 (b) -2 (c) 1.1 (d) -2/3
a
Which is the smallest value? (a) -0.5 (b) -0.2 (c) -1/16
a
Which is the third smallest value? (a) -5 (b) 1/4 (c) -0.3 (d) 92 (e) 1/3
b
Which is the third biggest value? (a) 6 (b) -2 (c) -28 (d) 1
b
Which is the biggest value? (a) -1818 (b) -2/7 (c) 3/2
c
What is the third smallest value in 0.1, 17, -2/9, -4, -2/11?
-2/11
What is the biggest value in 0.04, -3, -5, 1/7?
1/7
What is the third biggest value in 0, -6, 3/2?
-6
Which is the fourth smallest value? (a) -1 (b) 3 (c) 127 (d) 0.1
c
Which is the third biggest value? (a) 2 (b) -1 (c) 4 (d) 0.06
d
Which is the biggest value? (a) 168 (b) -1 (c) 1/2
a
Which is the second biggest value? (a) 6/7 (b) -0.2 (c) 5 (d) 0
a
What is the smallest value in -9, 93, -4?
-9
What is the fourth biggest value in -3, -1/5, -0.4, 7?
-3 | {
"pile_set_name": "DM Mathematics"
} |
e the third derivative of f(x). Give z(u(n)).
4*n**4
Let m(j) = 2*j. Let y(b) be the third derivative of -b**8/5040 - b**5/30 + 2*b**2. Let u(f) be the third derivative of y(f). Give u(m(r)).
-16*r**2
Let x(t) = -t**2. Let y(j) be the third derivative of -257*j**5/60 + 3*j**2 - 5. What is x(y(d))?
-66049*d**4
Let d(b) = 13*b**2. Let t(p) = -17665*p. Determine t(d(f)).
-229645*f**2
Let p be 66/(-15)*20/(-8). Let h(r) = -r + 27 - p - 16. Let y(q) = q - 5. Let d(c) = 3. Let a(f) = 5*d(f) + 3*y(f). Determine h(a(j)).
-3*j
Suppose 5*v - 18 = 7, 4*u + 5*v = 37. Let h(g) = -3 + 4*g + u. Let i(c) = -3*c**2. What is h(i(r))?
-12*r**2
Let p(m) = -13*m**2. Let o(b) = 15*b**2 + 6*b + 6. Let i(c) = -14*c**2 - 5*c - 5. Let g(d) = 6*i(d) + 5*o(d). Calculate g(p(a)).
-1521*a**4
Let p(y) = -45*y + 48. Let o(f) = -629*f + 680. Let t(b) = -6*o(b) + 85*p(b). Let j(c) = 5*c**2. What is j(t(i))?
13005*i**2
Let b(d) be the second derivative of 3*d**3/2 - 182*d. Let u(m) be the first derivative of -2*m**3/3 + 3. Give u(b(k)).
-162*k**2
Let p(n) = -24*n**2. Let l(b) be the third derivative of -3*b**5/20 + 2*b**2 - 85. Calculate l(p(q)).
-5184*q**4
Let b(q) = -9*q - 5. Let n(y) be the third derivative of 0*y + 1/3*y**3 + 0 + 1/6*y**4 - 7*y**2. Let a(v) = -2*b(v) - 5*n(v). Let l(h) = -11*h. What is l(a(c))?
22*c
Let l(v) = -v**2. Suppose 2*d - 5*u + 44 = 0, -u = -3*d - 6*u - 16. Let c = 8 - d. Let j(i) = -i - 20 + c. Determine l(j(z)).
-z**2
Let a(l) = 3*l. Let o(g) = 10*g - 90. What is o(a(i))?
30*i - 90
Let h = -35 - -42. Let y(b) = 12*b - 25*b + h*b. Let i(d) = -4*d**2. What is i(y(u))?
-144*u**2
Let d(h) = -3*h + 25. Let z(o) = 41*o**2 + 37*o**2 - 120*o**2 + 41*o**2. Give d(z(b)).
3*b**2 + 25
Let g(p) = 5*p + 7*p - 13*p. Let o(a) = 20*a**2 + 10*a. Let i(k) = -10*g(k) - o(k). Let b(d) = -d. Give b(i(j)).
20*j**2
Let a(w) = -4*w. Let l = 753/1498 - 2/749. Let y(o) be the first derivative of -6 + 0*o - l*o**2. Determine y(a(b)).
4*b
Let r(q) = -5*q - 3. Let m(p) = -9*p - 5. Let d(t) = 3*m(t) - 5*r(t). Let c be (12/18)/((-1)/(-3)). Let l(o) = -c*o + 10*o - o. Calculate l(d(y)).
-14*y
Let l(k) = 494*k**2 + 3*k. Let w(s) = 495*s**2 + 4*s. Let a(z) = 4*l(z) - 3*w(z). Let r(y) = 2*y. Calculate r(a(f)).
982*f**2
Let o(s) = -1314*s**2. Let d(r) = -67*r**2. What is o(d(z))?
-5898546*z**4
Let c(n) = 2*n. Let s(h) be the third derivative of -h**6/90 - 25*h**3/6 - 6*h**2. Let x(a) be the first derivative of s(a). Calculate x(c(k)).
-16*k**2
Let f(k) be the second derivative of -k**3/6 + k. Let h(s) be the third derivative of 1/12*s**4 + 0 + 0*s + 0*s**3 + 9*s**2. Give h(f(d)).
-2*d
Let b(k) = -4*k**2 - 1. Let a(s) = 11*s - 4. Let i(v) = -30*v + 10. Let d(w) = 5*a(w) + 2*i(w). What is d(b(r))?
20*r**2 + 5
Let i(p) = 2*p**2. Let d(l) be the first derivative of l**2/2 - 11*l + 200. What is i(d(b))?
2*b**2 - 44*b + 242
Let y(c) be the first derivative of 23*c**3 + 4. Let x(j) = -2*j**2. What is x(y(r))?
-9522*r**4
Let f(d) be the second derivative of d**4/6 - d. Let k be (-2)/(-4)*-4 - -9. Let i(u) = -k + 8 - 1 - 14*u. Give f(i(v)).
392*v**2
Let d(b) = 8*b**2. Suppose 11 = 3*a - 1. Let i(j) = 110 - 52 - 58 + a*j**2. Give d(i(w)).
128*w**4
Let w(q) = -15*q**2 + 36*q**2 - 33*q**2. Let s(a) = -a - 5. Let u(m) = m + 6. Let t(j) = -6*s(j) - 5*u(j). Give w(t(c)).
-12*c**2
Let u(m) = -288*m**2. Let o(w) = 170*w - 45*w - 39*w - 47*w - 41*w. Calculate o(u(y)).
576*y**2
Let z(t) = 2*t**2 - t - 20. Let u(y) = 25*y. Calculate u(z(r)).
50*r**2 - 25*r - 500
Let z(v) = -42*v - 36*v - 42*v + 125*v. Let d(u) = u + 1. Let n(k) = k + 2. Let g(l) = 2*d(l) - n(l). Give g(z(b)).
5*b
Suppose -4*m - 17 = 5*q - 2, 3*m - 2*q - 6 = 0. Let y(n) be the first derivative of m*n + 0*n**2 - 7/3*n**3 + 2. Let a(o) = -2*o**2. What is y(a(c))?
-28*c**4
Let z(q) be the first derivative of -3*q**3 + 2*q**3 - 3 + 1. Let n(j) = -2*j + 5. Let o(p) = -2*p + 4. Let l(a) = 4*n(a) - 5*o(a). Calculate l(z(c)).
-6*c**2
Let c(x) = x. Let m(h) = 17584*h**2. What is m(c(a))?
17584*a**2
Let h(t) = 0 - 2*t**2 + 0. Let m(o) = 8*o. Let y(i) = 9*i. Let r be ((-2)/3 + 1)/(3/54). Let b(z) = r*m(z) - 5*y(z). Give b(h(p)).
-6*p**2
Let p(q) = -q**2. Let r(x) = 78*x + 2689. Determine r(p(w)).
-78*w**2 + 2689
Let x(b) be the first derivative of -b**2/2 - 7. Let c = 393 + 88. Let u(j) = c + j**2 - 481. Determine u(x(i)).
i**2
Let w(b) be the second derivative of -b**6/180 - 5*b**3/6 - b. Let c(p) be the second derivative of w(p). Let z(m) = -3*m**2. What is z(c(a))?
-12*a**4
Let k(r) be the third derivative of -1/12*r**4 + 0*r**3 + 0 + 0*r - 6*r**2. Let w(h) = 39*h**2. Give w(k(p)).
156*p**2
Let w(a) = a. Let h(l) = -l**2 + 2*l + 2. Let o = 10 + -12. Let t(i) = -6*i**2 + 11*i + 11. Let u(q) = o*t(q) + 11*h(q). Calculate u(w(y)).
y**2
Let a(i) = 3*i. Let u(d) be the third derivative of -10*d**2 + 0*d - 1/12*d**4 + 0 + 0*d**3. Calculate a(u(b)).
-6*b
Let u(g) = -4*g. Suppose -4*m - 3*o = -6*m + 17, 17 = 5*m + o. Let z(t) = -2*t. Let d(k) = -96 + k + 96 - 4*k. Let h(n) = m*z(n) - 3*d(n). Determine h(u(p)).
-4*p
Let t(l) = -l + 63. Let x(u) = -u + 21. Let a(y) = -2*t(y) + 7*x(y). Let v(h) = -h. What is v(a(m))?
5*m - 21
Let p(c) = 24*c. Let r(v) = -103*v + 5. Calculate p(r(a)).
-2472*a + 120
Let z(j) = -17*j. Let g(u) = -66282*u. Give g(z(r)).
1126794*r
Let a(i) = 68 - 135 + i**2 + 67. Let j(y) = -45*y. Give a(j(x)).
2025*x**2
Let w(c) = -4*c**2 - 3. Let s be (((-25)/(-20))/(2/(-8)))/(-1). Let p(o) = -3*o - s*o + 6*o. Determine p(w(r)).
8*r**2 + 6
Let g(k) = 2*k**2 + 0*k**2 - 10*k**2 - 6*k**2. Let h(d) = -1408934 - 2*d**2 + 1408934. Give g(h(r)).
-56*r**4
Let n(m) be the third derivative of -5*m**4/6 - m**2. Let i(q) be the third derivative of 0 - 33*q**2 + 1/24*q**4 + 0*q**3 + 0*q. Determine n(i(w)).
-20*w
Let i(z) = -656274*z. Let x(k) = -2*k**2. Determine i(x(j)).
1312548*j**2
Suppose -q + 2*k = -2*q + 9, 3*k - 12 = -q. Let n(r) = 31 - 31 + q*r. Let j(a) be the third derivative of a**5/20 + 7*a**2. Determine n(j(v)).
9*v**2
Let b(x) = -5*x. Let w(k) = -18*k**2 + 36*k + 12. Let u(n) = n**2 - 3*n - 1. Let d(l) = -36*u(l) - 3*w(l). Give b(d(j)).
-90*j**2
Let k(m) = -73*m. Let x(l) = 10*l**2 - 3*l**2 - l**2 - 4*l**2. Determine k(x(j)).
-146*j**2
Let x(d) = -2*d. Let t(f) = -2*f - 4. Let q(k) = -5 - 1 + 8. Let v(l) = 4*q(l) + 2*t(l). Calculate x(v(h)).
8*h
Let n(c) be the second derivative of -2*c**4/3 - 17*c. Let g(h) = -h**2. Let k(z) = 18*g(z) - 2*n(z). Let p(d) = 6*d**2. Give p(k(j)).
24*j**4
Let h(u) = -143*u. Let d(n) = -4. Let l(o) = -o - 16. Let a(p) = -4*d(p) + l(p). Determine a(h(b)).
143*b
Let l(a) = -2722 + 1359 + 1362. Let k(o) = 0*o + 4*o - 3*o + 1. Let c(x) = -k(x) - l(x). Let n(w) = 25*w. Calculate c(n(g)).
-25*g
Let t(o) = o**2. Let g(c) = -945*c**2 + 24. Determine t(g(a)).
893025*a**4 - 45360*a**2 + 576
Let k(j) = -j**2. Let n(u) = 41*u**2 - 5*u - 2606. Calculate n(k(o)).
41*o**4 + 5*o**2 - 2606
Let f(g) = 3571*g. Let h(i) = 19*i**2. Give h(f(d)).
242288779*d**2
Let v(z) be the third derivative of -z**4/24 - 260*z**2. Let j(f) = -27*f + 4. Calculate v(j(n)).
27*n - 4
Let x(f) = 7*f. Let y(m) be the second derivative of -m**4/12 - m + 2. Give x(y(h)).
-7*h**2
Let a(g) = -4*g**2 - 2*g + 2. Let f(w) = -3*w**2 - 2*w + 2. Let u(k) = 2*a(k) - 2*f(k). Let y(o) = -2*o**2 - 16. Determine u(y(j)).
-8*j**4 - 128*j**2 - 512
Let q(a) = 19*a + 4. Let r(j) = 4*j + 286. Give r(q(i)).
76*i + 302
Let q(x) = 23*x. Let w(h) = 461*h - 229*h - 234*h. Calculate q(w(a)).
-46*a
Suppose -2*i + 20 = 2*i. Suppose i*q - 4*q - 5 = 0. Let g(s) = s + 2*s - q*s + 5*s. Let t(f) = -3*f. Determine t(g(y)).
-9*y
Let s(i) = -9*i. Let k(h) be the third derivative of -7*h**5/30 - 75*h**2. Calculate s(k(u)).
126*u**2
Let r(s) = -9420*s**2. Let p(x) = -2*x - 3. What is r(p(z))?
-37680*z**2 - 113040*z - 84780
Let c(z) = -1619*z**2. Let m(b) = -4*b**2. What is c(m(g))?
-25904*g**4
Let z(u) = -3*u**2. Let m = -53 + 55. Let p(t) = -5*t**2 + 2*t**m - 3*t**2. Determine p(z(b)).
-54*b**4
Let i = 10 - 4. Let o = 8 - i. Let j(x) = 4*x**2 - o + 2 - 6*x**2. Let d(f) = -f**2. Determine d(j(v)).
-4*v**4
Let i(j) = -10*j. Let n(q) = -2*q**2 + 12*q - 8. Let p be n(7). Let b = p + 39. Let x(t) = b*t - 9*t - 6*t. Calculate x(i(m)).
-20*m
Let g(v) = 30*v. Let u(o) be the third derivative | {
"pile_set_name": "DM Mathematics"
} |
ound q to 3 decimal places.
0.004
Let f = -22 + 49. Let u = -30963.9984 + 30937. Let x = f + u. Round x to three decimal places.
0.002
Suppose 3*o + 0*o = -30. Let w be 25 + 0/3 + 4. Let v = w - o. What is v rounded to the nearest 10?
40
Let q(s) = 2*s**2 + 36*s + 49. Let u(g) = -g**2 - 18*g - 25. Let d(o) = -3*q(o) - 5*u(o). Let w be d(-7). What is w rounded to the nearest ten?
60
Let p = 19.8 + -19.7994561. What is p rounded to 5 decimal places?
0.00054
Let p = 807672636560 + -807671611390.9999984. Let y = p + -1025166. Let d = 3 - y. Round d to 6 dps.
-0.000002
Let u = 71.687 + -1.587. Let x = u - 73. Round x to 1 dp.
-2.9
Let p(b) = b - 5. Let s be p(8). Let o(c) = 6000*c. Let v be o(s). What is v rounded to the nearest 1000?
18000
Let u = -8.095 - -8. Let p = u - -0.09449. What is p rounded to four dps?
-0.0005
Let s be (-12)/28 + (-741964)/(-14) - -3. What is s rounded to the nearest ten thousand?
50000
Let b = 1288962 + -1288991.99966. Let s = -30 - b. Round s to four decimal places.
-0.0003
Let r = -0.381 - -0.4. Let a = r - 0.019016. What is a rounded to 5 dps?
-0.00002
Let d = -23877 - -23877.37763. Let j = 0.376 - d. What is j rounded to 3 dps?
-0.002
Let a(t) = 404*t**2 + 9*t + 6. Let l be a(7). Let u = l - 1865. Round u to the nearest ten thousand.
20000
Let b = -81560 + 34360. What is b rounded to the nearest 10000?
-50000
Let v = 311.01032 + -311. Round v to three dps.
0.01
Let y = 31 + -28. Let b = 7 - y. Suppose 0 = b*r + 2*a - 25599992, -r + 4*r - 3*a - 19200012 = 0. Round r to the nearest one million.
6000000
Let b = 23236 + -9551. Let h = b - 13684.85994. Let r = 0.14 - h. Round r to four decimal places.
-0.0001
Let k = -70.1 - -4.9. Round k to 0 dps.
-65
Let z = 171466.803101 + -171467. Let u = z - -0.197. What is u rounded to 5 dps?
0.0001
Let a = 76516881 - 76516859.00000071. Let h = a - 22. What is h rounded to 7 decimal places?
-0.0000007
Suppose 0 = -4*i + 4*c - c - 6, 4*i + 2 = c. Suppose 2*u = -i*u + 7168. Let x be (u/(-21))/((-1)/(-375)). What is x rounded to the nearest 10000?
-60000
Let h = -22.11 - -0.11. Let j = 37 + h. Let g = j - -2.3. What is g rounded to the nearest integer?
17
Suppose -33 = 2*b - 113. Let d be b*(-1)/((-10)/756). Suppose -876 = 3*p + d. What is p rounded to the nearest one thousand?
-1000
Let j = 322 + -321.99999661. Round j to seven decimal places.
0.0000034
Let x = -10876 + 7286. What is x rounded to the nearest one thousand?
-4000
Let s = -53 - -52.9976905. What is s rounded to four decimal places?
-0.0023
Let g = 0.3009 + 152.7991. Let d = -153.099369 + g. What is d rounded to 5 decimal places?
0.00063
Let f = -1337.001697 + 1337. Round f to 4 dps.
-0.0017
Let a = -695 + -4842. Let g = a + 5545.0055. Let u = g + -8. What is u rounded to 3 decimal places?
0.006
Let a = 0.25218488 - 1.30218419. Let z = 1.05 + a. Round z to 7 decimal places.
0.0000007
Let s = 48.3 - 623.3. Let x = 575.00231 + s. What is x rounded to 4 decimal places?
0.0023
Let r = -0.01445319 - 70.98603681. Let k = r + 71. What is k rounded to 4 dps?
-0.0005
Let p = 7795.006591 - 7795. What is p rounded to three decimal places?
0.007
Let o = 0.37 + -0.41. Let a = -5.13215088 + 5.17215. Let t = a + o. Round t to 7 dps.
-0.0000009
Let l = -2093973465 + 1424757329. Let u = 669216172.1999739 + l. Let p = -36.2 + u. What is p rounded to 6 dps?
-0.000026
Let p = 7 - 9. Let v(u) = 1808*u**2 - 3*u - 2. Let q be v(p). Suppose 2*y = q + 8764. What is y rounded to the nearest one thousand?
8000
Suppose -11 = -3*f - 32. Let z(g) be the third derivative of 9107*g**4/3 - 4*g**3/3 + 5*g**2 - 23*g. Let y be z(f). Round y to the nearest 100000.
-500000
Suppose 4284 = 5*n + 774. Suppose 11 + 1 = 4*k. Suppose k*s - 231 + n = 0. What is s rounded to the nearest 10?
-160
Suppose 14*h = -43473 + 3573. Round h to the nearest 1000.
-3000
Let k = -5 - -5. Suppose -5*q + s - 9997 = k, -3*s = -5*q + 4*q - 1991. Round q to the nearest 1000.
-2000
Let q = -43552.958244 + 43470.958. Let p = q - -82. What is p rounded to 5 decimal places?
-0.00024
Let s(i) = -i + 8. Let m be s(7). Let x be (0 + 3/m)/(-1). Let c be 1/(x/63006) - -2. Round c to the nearest ten thousand.
-20000
Let l = 46 + -48.6. Let z = -2.59972 - l. Round z to 5 decimal places.
0.00028
Let p = -16.7 - -42.5. Let z = 35 - 16. Let l = z - p. What is l rounded to zero decimal places?
-7
Suppose 7*t - 25584 = 3*t. Let n(h) = 1190*h + t*h + 5 + 7015*h. Let i be n(-5). What is i rounded to the nearest 10000?
-70000
Let h be ((-12)/18)/((-6)/9) + 8879. What is h rounded to the nearest 1000?
9000
Let y = -47.2 + 8.2. Let t = -39.39 - y. Let b = -0.39022 - t. Round b to five dps.
-0.00022
Suppose 4*t - 2285 = 5*t. Suppose 5*g + 2735 = -n - 3*n, 0 = -4*n - g - 2739. Let m = n - t. Round m to the nearest 1000.
2000
Let z = 1.455 - 1.39. What is z rounded to 2 dps?
0.07
Suppose 5*s = -2*u - 242 - 322, 2*u - 4*s = -564. Let g(z) = z**2 - 7*z + 4. Let p be g(6). Let y be (13 - p)/(9/u). What is y rounded to the nearest 100?
-500
Let z = -80736 + 57336. What is z rounded to the nearest 10000?
-20000
Let p = 0.086 - 0.656. Let g = 0.570000122 + p. Round g to 7 dps.
0.0000001
Let u = -105 - 33. Let a = 138.0000198 + u. Round a to 6 decimal places.
0.00002
Suppose 4*x - 331499992 = -0*j + 5*j, -2*j = 5*x + 132600010. Round j to the nearest one million.
-66000000
Let o = -1252100.9400244 - -1252100. Let z = o - -0.94. Round z to six dps.
-0.000024
Suppose -10*h - 3727441 + 9921441 = 0. What is h rounded to the nearest 10000?
620000
Let s = 21.24611 + -21.23. What is s rounded to four decimal places?
0.0161
Let l = 4.999052 + -5. What is l rounded to five decimal places?
-0.00095
Suppose 46205774 = -2*o - 38714226. What is o rounded to the nearest one million?
-42000000
Let i = -8 + 10. Suppose 4*o - i*k = -k, 5*o = -4*k. Let n be (2 - 2) + o + 630. What is n rounded to the nearest one hundred?
600
Let j = 31 - 34. Let m be 6599997 + (5 - (-1 - j)). What is m rounded to the nearest 1000000?
7000000
Let b = 1786.97613 + -1778.976. Let a = -0.2 - -8.2. Let h = b - a. Round h to 5 dps.
0.00013
Let k = -105.963 - 0.737. Round k to the nearest 10.
-110
Let o = 403600.5 + -508362. Let g = 104756.29971 + o. Let q = g - -5.2. What is q rounded to four dps?
-0.0003
Let w = -126191571 + 126191618.9999848. Let c = -48 + w. Round c to six decimal places.
-0.000015
Let d = 130 - 6. Let z = d + 38. Let m be z/12*3*-40. What is m rounded to the nearest one hundred?
-1600
Suppose -3*v = -17898 - 10902. Suppose -5*y + 9*y + v = 0. What is y rounded to the nearest one thousand?
-2000
Let p = -94 - -26. Let b = 70.47 - 137.44. Let a = p - b. What is a rounded to one decimal place?
-1
Let x = -20.443 - 6.613. Let q = x - -27. Let j = q - 4.744. What is j rounded to the nearest integer?
-5
Let o = -4.5032 + -0.0968. Round o to the nearest 10.
0
Suppose -3140 = -30*b + 12850. What is b rounded to the nearest one hundred?
500
Let a = 380.9997482 - 381. Round a to five decimal places.
-0.00025
Let r be 18/(-21) - (-2156006)/7. Round r to the nearest 10000.
310000
Let x = 0.448969 - 0.4534. Round x to 3 dps.
-0.004
Let c = 0.090532 + -0.09. Round c to 4 dps.
0.0005
Let z = 12.4 + -16. Let i = -1.8 + z. Round i to the nearest integer.
-5
Let v = -357 - -356.9999752. What is v rounded to five dps?
-0.00002
Let y(r) = 246*r + 58. Let l be y(22). Round l to the nearest one thousand.
5000
Let m = 0.27999538 + -0.28. What is m rounded to seven dps?
-0.0000046
Let d = -2897376027202.0000056 - -2897374077465. Let k = 1949730 + d. Let m = -7 - k. Round m to six dps.
0.000006
Let d = -1257355 - -1257253.99939. Let u = 101 + d. Round u to 4 dps.
-0.0006
Let a = 132.00007884 + -132. Round a to five dps.
0.00008
Let u = 13 - 9. Suppose 4*q - 8829420 = -0*r + r, q + u*r - 2207338 = 0. Suppose 2192646 + q = 4*n. What is n rounded to the nearest one million?
1000000
Let t = 85.65 - 64.9. Round t to the nearest integer.
21
Let f = -0.372 - -0.3. Let j = 4.6869818 + -4.759. Let u = j - f. Round u to 6 decimal places.
-0.000018
Let u(t) = 53402*t**2 - 4*t + 152. Let s be u(-14). What is s rounded to the nearest one million?
10000000
Let c be ((-1476)/24)/((-1)/8). Let l be ((-6)/(-8))/((-1971)/c - -4). Round l to the nearest 10.
-120
Let n(l) | {
"pile_set_name": "DM Mathematics"
} |
be (-64)/(-20) + l/10. Let p(h) = -3*h**2 - 3*h**i - h**2 + 4*h**3. Determine p(4).
0
Let f be 2/2 + 4/1. Let d(u) = -u + 3. Determine d(f).
-2
Let p(c) = -c. Let l be p(-3). Let t = l - 8. Let r(i) = i**2 + 4*i - 3. Calculate r(t).
2
Let n(i) be the third derivative of -i**6/120 + i**5/10 + 7*i**4/24 - i**3/2 + 18*i**2. Determine n(7).
-3
Let a(m) be the third derivative of 1/24*m**4 + 1/6*m**3 + 0*m + 0 + 2*m**2. Determine a(5).
6
Suppose -116 = -4*v + 4*l, 2*v - l + 91 = 6*v. Suppose t - 5*j + v = 0, 4*t - 4*j = -2*j - 24. Let r(q) = -4*q + 4*q + q**2 - 5. What is r(t)?
11
Let q(v) be the first derivative of 7*v**2/2 + 2. Let g = -9 - -13. Suppose 4 + 0 = g*f. What is q(f)?
7
Suppose 14 = 3*t + 5. Let u(j) = j**2 - 3*j + 1. Calculate u(t).
1
Let p be (-14 - -18) + 2/2. Let f(h) = -h**2 + 4*h + 2. Determine f(p).
-3
Let b(v) be the third derivative of -v**6/120 - v**5/10 - v**4/3 - 2*v**3/3 + 22*v**2. What is b(-5)?
11
Let h(z) = z - 1. Let n(r) = r - 5. Let q(k) = -k + 1. Let d be q(-4). Let b be n(d). Calculate h(b).
-1
Let g(b) = b**3 - b + 1. Let k be g(0). Suppose 18 - 6 = 3*t. Let m(r) = 2 - 1 - 2 - t*r. Determine m(k).
-5
Suppose -2*i - 4 - 6 = 0. Let z(t) = -46*t - 4 + 45*t - 1. What is z(i)?
0
Let i(a) = -a + a**2 - 2*a**2 + 137 - 137. Suppose 3*c = -2*c. Calculate i(c).
0
Let y(o) = -o + 5. Let u(q) = q**2 + 2*q - 9. Let b be u(-5). Give y(b).
-1
Let y(q) be the first derivative of q**4/4 + q**3 - q - 7. Determine y(-1).
1
Let a(h) = -h + 4. Let k(o) = -4*o**3 - 6*o**2 + 6*o + 1. Let u(d) = 9*d**3 + 13*d**2 - 13*d - 1. Let x(z) = -7*k(z) - 3*u(z). Let y be x(-3). Determine a(y).
-1
Let j(w) = -2*w**3 + 5*w**2 - 4*w. Let a be j(2). Let u(n) = -4*n**2 + 7*n - 7. Let z(x) = 2*x**2 - 4*x + 4. Let g(r) = a*u(r) - 7*z(r). Determine g(2).
8
Let p(h) = 2*h - 4. Let r be (-20)/2*((-33)/(-6))/(-11). What is p(r)?
6
Let b(y) = -y**2 + 2*y - 1. Suppose -2*t + 2*l = -6, -3*l + 21 = 5*t - 2*l. What is b(t)?
-9
Let v(j) = j - 1. Let i(p) = 2*p - 7. Let r(w) = -i(w) + 6*v(w). Let d be r(-1). Let b be 14/4 - d/(-6). Let z(h) = -h**2 + 5*h + 1. Determine z(b).
7
Suppose 4*g - 8 = 0, 5*g = 3*k + 2*g - 6. Let f(l) = -l**3 + 3*l**2 + 5*l - 6. Determine f(k).
-2
Let h(t) be the second derivative of 1/6*t**4 + 0 - 1/6*t**3 - t**2 - t. What is h(-2)?
8
Suppose a - 1 = 8. Let z = a - 4. Let h(g) = -4*g - 9. Let f(p) = p + 1. Let x(o) = -5*f(o) - h(o). Determine x(z).
-1
Let z(g) = -6*g**2 + 10*g + 4. Let m(d) = -7*d**2 + 11*d + 4. Let a(u) = -5*m(u) + 6*z(u). Calculate a(6).
-2
Let p be 3/6 + 2 + 2/(-4). Let s(v) = 4*v**2 - 2*v. What is s(p)?
12
Let p(h) = 7*h - 5*h**2 + 4*h**2 + 0*h**2 + 7 + 2*h**2. What is p(-6)?
1
Let l(c) = -c**2 + 5*c + 7. Let s(j) = -j**2 + 4*j + 8. Let a be s(7). Let h = -7 - a. Determine l(h).
1
Suppose 5*d + 10 = -2*p, -d = 3*p + p + 2. Let x(v) be the second derivative of -v - 2*v**2 - 1/6*v**3 + p. What is x(-5)?
1
Let a(y) = 5*y. Let c(d) = 3*d - 7. Let u be c(5). Let p = -37 - -44. Let k = p - u. What is a(k)?
-5
Let x(y) be the third derivative of -y**6/120 - y**5/12 + y**4/4 + 7*y**3/6 - 6*y**2. What is x(-6)?
7
Let l(d) = d**3 - d - 2. Let z be (-4)/4*(4 - 6). What is l(z)?
4
Let q(r) = 3*r**2 + 8*r + 7. Let m(t) = t**2 - 21 - 9*t**2 - 5*t + 5*t - 23*t. Let j(b) = 4*m(b) + 11*q(b). What is j(6)?
5
Let f be (0 - -2)/((-2)/3). Let a(u) = u - 1. Calculate a(f).
-4
Let q(h) be the third derivative of -h**5/60 - 5*h**4/24 - 2*h**3/3 - 3*h**2. Calculate q(-5).
-4
Let m(t) = t**2 - 7*t - 1. Let z be 15/(-1)*(-3)/9. Calculate m(z).
-11
Let k(z) = -z**2 + 8. Suppose -5*r + 8 = -7. Suppose -2*c = -r*c. Give k(c).
8
Let l(j) = j**3 - 2*j**2 - 6*j - 7. Let z(i) = i**2 + 1. Let r(h) = -l(h) - 5*z(h). Let w(g) = 4*g. Let t be w(-1). Calculate r(t).
-6
Let y(b) = -13*b + 14. Let s(n) = 6*n - 7. Let g(i) = -9*s(i) - 4*y(i). Calculate g(8).
-9
Let y(q) = -2*q - 2. Let s(h) = h - 2*h + 3 + 3*h. Let u(r) = 4*s(r) + 6*y(r). Let l(t) = -t**3 + 4*t**2 - t - 4. Let g be l(3). What is u(g)?
-8
Let j(a) be the third derivative of a**8/6720 + a**7/504 + a**6/360 - a**5/30 + a**4/12 - 7*a**2. Let m(n) be the second derivative of j(n). Give m(-3).
8
Let m = -22 - -16. Let y(v) = -v - 5. Let j be y(m). Suppose 0 = -0*g + g - j. Let d(a) = -3*a + 1. Determine d(g).
-2
Let n(x) = x**2 + 10*x - 20. Let t be n(-12). Let l(b) be the third derivative of -1/3*b**t + 0 + b**2 + 1/60*b**5 + 0*b + 5/6*b**3. Determine l(6).
-7
Let v(p) = -2*p**2 + p + 3. Suppose 0 = -3*g + 4*g - 4. Let f be (-10)/g*(-18)/15. Give v(f).
-12
Suppose -3*h = -3*n + 9, -n = -5*h - 5*n + 30. Let f(g) = -2*g**3 + g - 4. Let t(b) = 3*b**3 - 2*b + 5. Let p(y) = 4*f(y) + 3*t(y). Determine p(h).
3
Let t(g) = 7*g + 1. Let i(b) = 15*b + 1. Let q(n) = 4*i(n) - 9*t(n). Calculate q(-4).
7
Let n(j) = -j**3 + 3*j**2 + 2*j - 4. Let i be (-39)/(-15) + 4/10. Give n(i).
2
Let w(o) = -3*o - 10. Let k be w(-7). Let v = k + -5. Let g(b) = -b + 2. Give g(v).
-4
Let d = -78 + 78. Let q(r) = r + 9. Give q(d).
9
Let s be (-1)/((-36)/39 - -1). Let p = s - -20. Let f(h) = h**3 - 6*h**2 - 8*h + 1. Calculate f(p).
-6
Let n(v) = 2*v - 6. Let k be n(4). Let b(i) = -2 - 2*i + k*i + 2*i. Give b(4).
6
Let o(z) = z + 7. Let t be o(-5). Let k(n) = -n**t - 2 - 6*n - 2*n - 2. Let h be k(-8). Let v(f) = f**2 + 4*f + 1. Determine v(h).
1
Let m(a) = -7*a - 23. Let o(b) = -3*b - 12. Let t(f) = 4*m(f) - 9*o(f). Give t(0).
16
Let a(q) be the first derivative of 0*q - 1/2*q**2 - 1/8*q**4 - 2 - 1/60*q**5 + 2/3*q**3. Let g(v) be the second derivative of a(v). Calculate g(-5).
-6
Let d be 3 - 2 - (-5 - -3). Let i(b) = 2*b**2 + d*b + 0*b**2 + 0*b**2. Give i(-2).
2
Let u(s) = 3*s**3 - 11*s**2 - 4*s + 14. Let f(j) = -7*j**3 + 23*j**2 + 9*j - 29. Let r(q) = 2*f(q) + 5*u(q). Calculate r(9).
-6
Let q = -1 - -4. Let v(l) = 2*l**2 + 0*l**2 - q + 2 + 2*l. Determine v(2).
11
Let y(z) be the third derivative of -z**6/120 + z**5/10 + 7*z**4/24 + z**3/2 - z**2. Let l be (1/(-1))/(12/(-84)). What is y(l)?
3
Let z(l) = -5*l + 7. Let i be z(2). Let j(k) be the second derivative of -k**5/20 - k**4/4 + k**3/6 + k**2/2 + 2*k. Give j(i).
-2
Let d(t) be the first derivative of t**3/3 + 3*t**2 + 7*t + 3. Calculate d(-6).
7
Let k(f) = -10*f**3 - f**2 + f + 1. Let m be 4*(-1)/((-4)/(-7)). Let h(v) = v + 4. Let w be h(m). Let b be (w + 2 - 0)*1. Determine k(b).
9
Let q(o) be the third derivative of 0 - 1/12*o**4 - 7/6*o**3 + 4*o**2 + 0*o. Calculate q(-5).
3
Suppose 0 = 2*g - 3*s, 5*s - 6 - 4 = 0. Let f(d) = -4 + g + 2*d - 4*d. What is f(2)?
-5
Let k(z) be the third derivative of z**6/120 - z**5/5 + 5*z**4/12 + 8*z**3/3 - 32*z**2. Calculate k(11).
5
Let r(h) = 8*h - 1. Let b(f) be the third derivative of 5/24*f**4 + 1/12*f**5 + 1/120*f**6 + 0*f + 0 - f**2 + 1/2*f**3. Let t be b(-4). Give r(t).
-9
Let w(i) be the first derivative of -1/6*i**4 + i - 2/3*i**3 + 0*i**2 - 1. Let h(q) be the first derivative of w(q). Calculate h(-3).
-6
Let w(a) = -2 - 1 - a + 2*a. Let c be w(2). Let m(p) be the first derivative of -p**2/2 + 19. What is m(c)?
1
Suppose 2 = -5*z + 12. Let i(v) = -3 + 0*v**2 - 4*v - v**2 + z*v. Let x = 3 + -5. Determine i(x).
-3
Let m be (3 - 0 - -3) + -4. Let g(a) = -6 + 1 + a - m + 4. Let b be (-4)/(-6) + 13/3. Give g(b).
2
Let i(q) = -q**3 + q - 8. Let a(x) be the second derivative of x**4/12 - x**3/2 + x. Let n be a(3). Determine i(n).
-8
Let w be 3/((-3)/(-2) + -1). Let m(g) = -6*g**3 + 6*g**2 + 2*g - 6. Let v = -5 - -10. Let i(p) = p**3. Let f(j) = v*i(j) + m(j). Give f(w).
6
Let x(b) = 5 + 9*b - 2 - 2. Let k(a) = a**3 + 23*a**2 + 21*a - 21. Let f be k(-22). Determine x(f).
10
Let z(j) = -j**3 - 3*j + 4 - 3*j**3 - 4*j - 6*j**2 + 5*j**3. Determine z(7).
4
Let q(v) = -v**3 - v**2 - 3*v - 2. Let t be q(-2). Let d(n) = n - 10. Give d(t).
-2
Let k(m) be the third derivative of 7*m**4/24 + 5*m**3/6 + 2*m**2. Let t(u) = -3*u - 2. Let z(n) = 4*k(n) + 9*t(n). Calculate z(-5).
-3
Suppose 5*j - 2*v - 5 = 0, 3*v - 13 = -j + v. Suppose -31 = -5*g + 4*m, -4*g = -2*m - 10 - 10. Let a(t) = g*t - 4*t**2 + 3*t**2 + t + 1. Determine a(j).
4
Let i = 146 - 147. Let o(c) = 15*c**3 - 6*c**2 + 8*c + 11. Let j(t) = 5*t**3 - 2*t**2 + 3*t + 4. Let h(f) = 8*j(f) - 3*o(f). Give h(i).
6
Let d(i) = i**3 - i**2 + i + 8. Let h = -3 + 3. Determine d(h).
8
Let n(s) = s* | {
"pile_set_name": "DM Mathematics"
} |
- 11. Which is smaller: -2/25 or l?
l
Suppose 2*g = -j - 7, 0 = 4*j - 4*g - 9 - 23. Suppose -j*a - 2*v + 3*v + 13 = 0, 4*a + 4*v = 28. Which is greater: a or -1?
a
Let s = -20 + 18. Is s less than 2?
True
Let f be ((-22)/(-20)*4)/(1/(-5)). Which is greater: f or -23?
f
Suppose -3*v = -9*l + 4*l - 21, 5*v - 35 = l. Suppose v*u - 2*u = -t - 22, -t - 4*u - 17 = 0. Suppose t*n + 2 + 1 = 0. Which is bigger: n or 1?
1
Suppose d = -2*i - 10, 5*i + 10 = d - 1. Let v(x) = -x**3 - 3*x**2 + 1. Let n be v(i). Suppose 2*o = n + 1. Is o greater than or equal to 1?
True
Let x = 19 - 29. Let n = x + 11. Let j = -0.4 + 0.2. Which is smaller: j or n?
j
Let b = -101/60 - 1/15. Which is greater: b or -2?
b
Suppose -10 = -2*k - 0*k. Suppose w + 2 = -k*h - w, -5*w + 24 = -2*h. Let f be 4*-1*h/(-4). Which is smaller: f or -3?
-3
Let b be (-2)/1 - (-65434224)/(-494). Let y = -132459 - b. Let v = y - 15/19. Which is greater: -1 or v?
v
Let r = -137 + 1229/9. Suppose 2*k = -0*k. Which is smaller: r or k?
r
Let h be (8/10)/((-1)/(-5)). Suppose -5*l - 17 = -n, -3*n - n = -h*l - 20. Let s be (-5 - 46/(-10))*(-6)/4. Which is smaller: s or n?
s
Suppose -5*q + 3*a + 10 = 0, -6*a - 24 = 4*q - 2*a. Let g = 512/17 + -30. Which is smaller: q or g?
q
Let u = -69 - -69.1. Is u <= 1.6?
True
Suppose -18 = -4*s + 2. Suppose -3*r = s*d - 0*d + 25, -3*d + 2*r + 4 = 0. Let k be (6/9)/(12/(-9)). Is k not equal to d?
True
Let n = 24.88 + -26. Let a = 1.1 + n. Is 2 equal to a?
False
Let l = 9.3 + -8. Let m = l + -0.6. Is m at most as big as 2?
True
Let r(j) = 2*j + 16. Let x be r(-8). Does x = 2?
False
Let q = 10 - 0. Is q less than 10?
False
Let q = -15 - -21. Let a be ((-1)/12)/((-2)/q). Which is smaller: 1 or a?
a
Suppose 2*j - 5*y - 5 = 0, 1 = -4*y - 3. Is j not equal to 0.06?
True
Suppose -14*l + 11*l = 0. Let d be (l - 4/28)*1. Let o = -4 - -3. Is o < d?
True
Let o = 7 + -4. Suppose -22 = -3*a + 2. Suppose -3*r + u = -u - 11, 0 = o*r + u - a. Is r smaller than 3?
False
Let f(r) be the second derivative of r**3/6 + 3*r**2/2 + 4*r. Let d be f(3). Let h be 6/20*4/d. Which is bigger: 0 or h?
h
Let x = -13 + 14.3. Let i = x - 0.3. Which is smaller: 3 or i?
i
Let a = -15 - -14.4. Is 0 less than or equal to a?
False
Suppose 3 = 3*g - 0. Is 2/201 less than g?
True
Let q be (-1)/(1/(-4)) + 1. Suppose -f + 6*f = -q. Let i be f/(2 + -3) + 4. Which is smaller: 6 or i?
i
Suppose 10*z - 5*z = -5. Suppose t - 3 = 4*h, -2*h - 9 = -0*h - 3*t. Is z != h?
True
Let j be 18/(-4) - (-12)/8. Let z = -9 - -7. Is z at least as big as j?
True
Let x be (-13 - -2)*4/(-4). Which is greater: x or 21/2?
x
Let k = -114 - -114. Which is bigger: k or -3/26?
k
Suppose 3*r = y - 0*r - 8, r = -4*y + 6. Let l be 1/(-2)*1 - -2. Which is bigger: y or l?
y
Let o = 2/33 - -29/66. Let t = -9 - -7.8. Let c = t + 0.2. Are o and c equal?
False
Suppose 19*c - 21*c = 4*n - 24, -4*c = -4*n. Let a be 5 + (-1 - (0 - 1)). Which is smaller: c or a?
c
Let h = -13954995/3229268 + -2/115331. Let f = 32/7 + h. Which is bigger: f or -1?
f
Let z be 1 + 0 - (-3 + (-1644)/(-410)). Are z and 1 equal?
False
Let h = 1.47 + 0.43. Let y = 2 - h. Is 3/5 bigger than y?
True
Suppose -2*b - 2 = -0*b. Let p = 46107821/570798 + -3/63422. Let w = p - 81. Which is smaller: w or b?
b
Suppose -3*a + 140 = -n - 0, 0 = -3*a + 4*n + 155. Is a bigger than 47?
False
Let w(x) = x**2 - 14*x - 32. Let n be w(16). Which is smaller: 3/14 or n?
n
Let m = 139 + -95. Is m >= 0?
True
Let j = -144 + 1010/7. Let h = -394 + 389.02. Let d = -0.02 + h. Which is greater: j or d?
j
Let j be -1 - 0*(1 + -2). Suppose 0*b - 2 = 2*b. Let x be (b*9/(-6))/6. Which is smaller: x or j?
j
Suppose 39 = 4*t + 23. Suppose -23 = -5*z - 3*c, c - 4*c = 3*z - 15. Is t > z?
False
Suppose 2*h + 2*h = -2*p - 14, 2*h = 3*p + 5. Let y = h + 3. Let b = y + 3. Is 4 equal to b?
True
Let g be -2*(1 + (-7)/2). Let o = g + -6. Is o bigger than -2/9?
False
Let b = 52/63 - 5/7. Is 1 not equal to b?
True
Let t(n) = 0*n + 2*n - 7*n**2 + n - 3 + n**3. Let h be t(7). Let o be 8/h*3/(-2). Which is greater: -1 or o?
o
Let x be (10/3)/(4/6). Let i = 16 - 12. Which is bigger: i or x?
x
Let j be (-8)/6*36/(-8). Let m be (2/j)/((-5)/(-75)). Which is smaller: m or 4?
4
Let i(n) = -n**3 - 15*n**2 - 15*n - 12. Let k be i(-14). Which is bigger: k or 2/3?
k
Let l = -16 - -15. Is l > -7/6?
True
Suppose d - 4*d = 0. Let v be (4 - 4)*(-1 - d). Are 2 and v equal?
False
Let f = -5 + 7. Let m be (f - 1)*(0 + 0). Which is smaller: 4/5 or m?
m
Let g(m) = m**3 + 6*m**2 + 5*m + 2. Let r be g(-5). Suppose 0*b = 2*b + 4. Let s = b - -4. Is r != s?
False
Let r = 10 + -5. Suppose 0*z = 4*z + 4*k - 12, -9 = -r*z - 2*k. Let w be 0 + (2 - 3) + z. Is -1/3 bigger than w?
False
Let w = -0.35 + 0.4. Let d = 0.15 - w. Which is greater: -0.1 or d?
d
Let r(n) = n**2 - 6*n + 9. Let i be r(7). Let h be i + (-3 - 1) - 2. Let l(j) = j**2 - 3*j + 5. Let d be l(4). Which is smaller: h or d?
d
Let s be 2/1*(2 + -4). Let q = s - -4. Let d(i) = -i + 2. Let m be d(3). Which is greater: m or q?
q
Let a(c) = c**2 + 8*c + 12. Let i be a(-4). Is -21/8 greater than or equal to i?
True
Let m be (-4)/(-20) - 2/10. Do m and -3/19 have different values?
True
Let u = -146233/5661 + -36/629. Let g = u - -26. Which is greater: g or -1?
g
Suppose 0*y - 4*m + 84 = -2*y, -212 = 4*y + 3*m. Which is bigger: -51 or y?
y
Let b = 14 - 14. Which is smaller: b or -4/3?
-4/3
Let l = -38 + 38. Which is bigger: l or 6/37?
6/37
Let g(o) = -o**3 + 4*o**2 - 4*o + 3. Let f be g(3). Which is greater: 1/34 or f?
1/34
Let l = -24 - -24. Let s(p) = p**2 + p**2 - 3*p**2. Let k be s(l). Is 0 less than k?
False
Let k be 2/(-5) - (-84)/10. Suppose 3*o - 2*v - 7 = 0, k + 2 = 2*o + 4*v. Let b(t) = t**2 + t + 4. Let i be b(0). Which is smaller: o or i?
o
Let x be 12/(-24)*1*2. Is -2 equal to x?
False
Suppose u - 3*u + 16 = -4*p, -u = -p - 3. Suppose -3*o - 3*x - 12 = 0, 0 = -o - 3*x - 12 + 2. Let z be 4/8 - (o - -1). Which is smaller: z or u?
u
Suppose -l = -2*i - 2*l - 1, 3*i + 5*l = -5. Let s be 1 - (5 + -2) - i. Let q = s + 2. Which is smaller: q or 0.5?
q
Suppose -2*a + 14 + 6 = -3*h, 0 = -4*h + 8. Let k = a - 23. Let d be (-2)/(-5) + 8/k. Which is smaller: d or 1?
d
Let a = -7 - -6. Suppose 3*q - 4*g = -q + 8, 0 = g + 1. Which is smaller: a or q?
a
Let x be -3*((-2)/21)/1. Suppose 0 = -4*v + g - 3, 0 = v - 5*g - 3 - 1. Which is smaller: x or v?
v
Let o be (-6)/(-9) + (-274)/6. Let f be (-4)/18 - 55/o. Which is greater: -2/11 or f?
f
Let j = -22 - -14. Let t = -194 - -202.1. Let g = j + t. Which is smaller: -0.3 or g?
-0.3
Let f be ((-8)/(-6))/(3/(-9)). Let m = -8 + 3. Is f at most m?
False
Let l = 348 + -3825/11. Is -1 > l?
False
Suppose 5*r - 2*t + 17 = 0, 2 = 2*r + 4*t + 4. Which is bigger: r or -1?
-1
Let c = -438 + 2198/5. Which is greater: 2 or c?
2
Suppose 3*y - 16 + 19 = 0. Does y = -3?
False
Let l = -1061/5 + 20054/95. Is l at least -1?
False
Let p = -2 - -1.97. Let y = 0.01 - p. Let i = 0.04 - y. Is 1 at most as big as i?
False
Let d be (-15)/12 - (-1)/4. Which is smaller: 1/13 or d?
d
Let q(i) = -i**2 + 2*i + 1. Let k be q(5). Let y = k - -11. Which is bigger: y or -5/3?
-5/3
Let c(g) = g**3 + 6*g**2 + 4*g - 1. Let m be c(-5). Let a = 3 - 3. Suppose -m*r + x = a, -5*x = r + 4*r. Is -5/6 less than r?
True
Let w be 4/14 + (-8)/14. Let a = 14771/27 - 547. Is a < w?
False
Let j be (-4)/30 - 58/15. Let z = -6 - -4. Which is greater: j or z?
z
Let a = 3 + -2.9. Which is bigger: -0.07 or a?
a
Let b be 4*-2*3/(-6). Let w(f) = 4*f - 3 + 2 - f**2 + 0. Let j be w(b). Which is smaller: 0 or j?
j
Suppose 2 = 8*b - 10*b. Which is bigger: b or 4?
4
Let p(t) = -t**3 - 5*t**2 - t - 2. Let b be p(-5). Is -0.1 bigger than b?
False
Let h be (-2)/(-2)*(-16 - -11). Which is smaller: -3 or h?
h
Suppose 2*y - 14 = 4*b, -b - 20 = 3*b - 4*y. Let m(v) = v**2 + 2*v - 1. Let u be m(b). Which is bigger: u or -5/7?
-5/7
Suppose -4*t = 4*h - 20, 0 = -4*t - h + 8. Suppose -5*a - 5*o + 32 = 2, a - 5*o = 0. Let f(q) = q - 4. Let l be f(a). Is t smaller than l?
False
Suppose 0 = 2*r + 3*r. Let b = r - 2. Let l be ((-4)/4)/((-7)/b). Which is smaller: l or 3?
l
Suppose 3*f - f - 18 = 0. Let x be (-450)/52 - (-12)/78. Let k = x + f. Are k and 0 non-equal?
True
Let q be (-176)/80 + (-2)/(-10). Which is smaller: - | {
"pile_set_name": "DM Mathematics"
} |
j = -1 + -1. Let l(v) be the second derivative of 3*v**4 + v**3/6 + v**2/2 - 2*v. Let p be l(j). Calculate the greatest common divisor of p and 13.
13
Let g(s) = -s**3 + 17*s**2 + 9. Let v be g(17). Suppose 0 = j + 18 - 99. Calculate the highest common divisor of v and j.
9
Let g be (0*(-1)/3)/2. Suppose g = -x - x + 198. Suppose 0 = -2*q - q + x. Calculate the highest common divisor of q and 11.
11
Let p = 4 + 0. Suppose -2*y = -5*x - 17, y - 2*x - p = 3. Calculate the greatest common divisor of y and 5.
1
Let z = -11 - -17. Calculate the highest common divisor of 12 and z.
6
Let q be (-5)/(-15) - 322/(-6). Let g be (-1 - 0)/((-2)/q). What is the greatest common divisor of g and 9?
9
Suppose 5*u + 4*w = 60, -4*u + 3*w - 7 = -3*u. Suppose -u*b + 6*b + 6 = 0. Calculate the highest common divisor of 27 and b.
3
Let u be 4/(-5)*(-35)/(-14). Let d = 5 - u. What is the highest common divisor of 21 and d?
7
Let l(r) = r**3 - 9*r**2 + 7*r + 10. Let i be l(8). Suppose 0 = 2*n + 2, 2*n + 3 = m - 2. Calculate the highest common factor of m and i.
1
Let u(z) = z - 1. Let s be u(4). Let l = 33 - s. Let g = 40 - 20. Calculate the greatest common factor of l and g.
10
Let y(n) = n**3 + 14*n**2 - 12*n - 20. Let m be y(-14). What is the greatest common divisor of 4 and m?
4
Let s = 10 - 14. Let q = s - -3. Let p = 1 - q. What is the greatest common factor of p and 6?
2
Suppose -3*b + 52 = 2*y, -y = 2*b - 23 - 10. Let p = -7 - -21. Calculate the highest common divisor of b and p.
14
Let d(t) = -t**3 - 6*t**2 - 7*t - 1. Let r be d(-5). Let p = 42 + -32. Let u be (-12)/18 + p/6. Calculate the greatest common divisor of r and u.
1
Let n(l) be the second derivative of -l**3/6 + 27*l**2/2 + 2*l. Let j be n(13). Calculate the greatest common factor of 70 and j.
14
Let b = 7 + -4. Let i be 1/3 + 14/b. Let o be 0 + 1 + 42/3. Calculate the greatest common divisor of o and i.
5
Let c = 36 + -26. Let z be (-123)/(-2)*c/15. Suppose 3*h + 2*x = 6*h - z, -4*h + 5*x + 64 = 0. Calculate the greatest common divisor of h and 121.
11
Let j be (-26)/((-4)/2) - -1. Calculate the greatest common factor of 112 and j.
14
Suppose -5*v = -10 - 15, 5*v = -5*t + 5. Suppose -5*r - 4 = -r. Let d be (-5)/r - (6 + t). Calculate the greatest common factor of 2 and d.
1
Let v(w) = -4 + w - w**2 + 3 + 2*w**2 + 0*w. Let b be v(-3). Calculate the highest common divisor of b and 35.
5
Let p = 49 + -41. What is the greatest common divisor of p and 88?
8
Suppose -4*m = -5*z + 67, 0*m + 53 = 3*z + 4*m. Suppose 0*i - 495 = -3*i. Calculate the highest common divisor of i and z.
15
Let b be -1 - (-1)/((-2)/(-8)). Suppose 0 = 3*s - 14 - 4. Let d be (-5)/2*s/(-5). What is the greatest common divisor of b and d?
3
Let n be 32/(-6)*(-114)/4. Suppose 0 = -5*c, 22 = l - 4*c + 3. What is the greatest common factor of n and l?
19
Suppose 0 = -2*c + 17 + 159. Calculate the greatest common divisor of c and 8.
8
Suppose 3*n - 1 = 4*b, -2*n = -4*n - 5*b + 16. Let x be 25/n + 1/(-3). Suppose 7*d = 4*d + 48. What is the highest common divisor of x and d?
8
Suppose 10 = 5*a - 6*d + d, 3*a - 4*d = 1. Let o = a - -29. Suppose -18 = -3*x + 2*x. What is the greatest common divisor of o and x?
18
Let d = 7 + -1. What is the highest common factor of d and 3?
3
Suppose 5*r - 3*j = 12, -2 = j + 2. Suppose r = -2*a + 6*a - 468. What is the greatest common divisor of a and 13?
13
Let i be (-2)/3 + 3*(-85)/(-45). Calculate the greatest common divisor of 55 and i.
5
Let g(p) = -10*p - 9. Let i(k) = 3*k + 3. Let u(o) = 4*g(o) + 14*i(o). Let h be u(10). Calculate the highest common factor of h and 52.
26
Let t = 169 + -64. Calculate the greatest common divisor of t and 42.
21
Let n = -19 - -3. Let b = 28 + n. Calculate the greatest common factor of b and 84.
12
Suppose -3 = -z - 1. Let f be z/1*(202 + 6). Suppose 0 = -2*n - 2*d + 166, -5*n - 4*d + f = -0*d. Calculate the greatest common divisor of 12 and n.
12
Let r be -1*((31 - 2) + 2). Let i = -17 - r. What is the greatest common factor of i and 35?
7
Let i = -7 + 49. What is the highest common factor of i and 14?
14
Suppose -2*v - 9 + 87 = -3*d, 0 = 5*v - 4*d - 202. What is the highest common divisor of 63 and v?
21
Suppose c + k + 1 = -1, 0 = 5*k + 25. Suppose 38 = 5*n + c. Calculate the highest common divisor of n and 42.
7
Suppose -f + 5*f = -8. Let a(t) = 30*t + 5. Let k(j) = -j - 1. Let l(d) = -a(d) - 6*k(d). Let z be l(f). Calculate the highest common divisor of z and 7.
7
Let s(y) = -y**3 - 1. Let j(p) = 43*p**3 + 2*p**2 - p + 6. Let k(g) = j(g) + 6*s(g). Let n be k(1). Calculate the greatest common factor of n and 57.
19
Suppose l + 7 = 2, -3*t = 4*l + 23. Let v be (324/4)/(t - -2). What is the highest common factor of 9 and v?
9
Let s be 19/5 + 1/5. Suppose 3*b + 0*b + 15 = x, 3*x - 4*b = 30. What is the greatest common divisor of s and x?
2
Let q(r) = -r + 11. Let s be q(7). Let y(o) = -o**3 + 3*o**2 + 5*o - 6. Let n be y(s). Let t = n - -8. Calculate the greatest common factor of t and 9.
3
Let z be 7/(-2)*(4 - 0). Let p(b) = b**2 + 6*b - 17. Let q be p(z). Calculate the greatest common divisor of q and 19.
19
Suppose 6*z + 120 = 11*z. Let a(j) be the first derivative of -j**2/2 + 16*j + 1. Let w be a(0). Calculate the greatest common divisor of w and z.
8
Let m(z) = 2 - z + 3 + 0 + 5. Let u be m(8). What is the highest common factor of 20 and u?
2
Suppose -5*p + 5*o = -25, -6*o - 2 = -p - 2*o. Calculate the greatest common divisor of 42 and p.
6
Let h = 106 + -50. What is the greatest common factor of 7 and h?
7
Suppose 3*j = 5*t + 31 + 14, -2*t + 3*j - 27 = 0. Let n be (0 - 2)*99/t. Suppose 0 = 3*q - n - 18. Calculate the highest common divisor of q and 153.
17
Let f = 19 - 7. Suppose 3*c - 51 + f = 0. What is the greatest common divisor of c and 143?
13
Let c be 1 + -2 - -18 - 2. Let d be 48/9 - (-2)/(-6). What is the greatest common factor of c and d?
5
Let c be (-2)/(-13) - 74/(-26). Calculate the greatest common factor of 3 and c.
3
Let v be 4/6 - 256/(-12). Let r(d) = 2*d**2 + 6*d + 19. Let g be r(-6). Calculate the greatest common divisor of g and v.
11
Let k = 28 + -25. What is the highest common divisor of 1 and k?
1
Let w = 8 + -1. What is the greatest common factor of w and 63?
7
Suppose -p + 3*v + 4 = 0, -p + 2*p = 5*v - 2. What is the greatest common divisor of 91 and p?
13
Let w(l) = l**2 + 4*l - 3. Suppose 2*y + 4*d = 2*d + 68, -3*d + 6 = 0. Suppose -4*n - y = -8. Let c be w(n). What is the highest common factor of 81 and c?
9
Suppose 2 + 8 = 2*h. Calculate the highest common factor of 5 and h.
5
Suppose -z = -3*j - 70, -17 = -z + 5*j + 49. Suppose 0 = 5*n - 15, n - 5*n = -3*v + 45. Calculate the greatest common divisor of z and v.
19
Let m = -2 + 4. Suppose -3*a - 3*y + 615 = 0, -2*y = -m*a + 6*a - 828. What is the greatest common divisor of a and 19?
19
Suppose 17 - 80 = 2*w + 3*k, -3*w - k = 98. Let t = w - -60. Calculate the greatest common divisor of 18 and t.
9
Suppose -a + 6 = 2. Suppose -3*h - 8 = 3*i + i, 0 = -2*i - a. Let u(z) = z**2 + 11. Let g be u(h). What is the highest common factor of g and 121?
11
Let q(i) = -i**3 - 6*i**2 + 5*i - 8. Suppose 6*o = -k + 3*o - 4, 5*o - 33 = 4*k. Let c be q(k). Let l = 43 + -31. What is the highest common divisor of c and l?
6
Let v = 8 - 11. Let g(b) = 6*b**2 + 3*b. Let q be g(v). What is the greatest common divisor of 18 and q?
9
Let f = -37 - -61. What is the highest common divisor of f and 24?
24
Suppose -2*q - 23 = -4*g + q, -3*g + 3*q = -18. Suppose -g*w + 96 = -2*w. What is the highest common factor of w and 16?
16
Let z be (-4*6/(-48))/((-1)/(-462)). Calculate the highest common factor of z and 21.
21
Let g = 91 + -59. Let n be (12/(-15))/((-2)/5). Let m(f) = 2*f**3 - 2*f**2 - f + 2. Let v be m(n). Calculate the highest common factor of v and g.
8
Suppose 7*r - 6 = 4*r. Suppose 34 = r*g - 3*f - f, 0 = -g - f + 17. What is the greatest common divisor of 17 and g?
17
Suppose 4*m - 98 = -5*r, 0*r - 2*r = m - 38. Let n(l) = 40*l**2 - 2*l - 2. Let o be n(-2). What is the greatest common divisor of o and r?
18
Suppose 4 = -3*l + 4*o, 5*o - 3*o = 3*l - 4. What is the highest common divisor of l and 10?
2
Let s be 1*(1 - -3 - -18). What is the greatest common divisor of 44 and s?
22
Let w = 13 + -12 | {
"pile_set_name": "DM Mathematics"
} |
. What is the biggest value in -5, s, 5?
5
Let d = 0.17 - 0.07. Let x = 116/3 - 39. Let t be 1/(-4) + 1 - 0. Which is the second smallest value? (a) x (b) d (c) t
b
Let f = -5 + 3. Let z = 10 + -8. Suppose -p = -2*p - t - 6, 0 = -z*t - 10. Which is the smallest value? (a) p (b) f (c) 1/3
b
Let t = -8 + 8.6. Let d = 2.6 - t. Suppose 3*f + 2*y + 6 = 0, 4*y - 16 = -0*f + f. Which is the second biggest value? (a) f (b) 3 (c) d
c
Let s = -2.71 + 2.75. Let f = 3 - 3.1. Which is the smallest value? (a) 0.2 (b) s (c) f
c
Let d = 1 + -1. Let r = -7 + 14. Let l = 6.7 - r. Which is the third smallest value? (a) l (b) d (c) -1
b
Let f = 54 - 54. Let w = 0.09 - -0.91. Let s = 0.7 + -0.2. What is the second smallest value in f, w, s?
s
Let g = 79 + -79. What is the third biggest value in g, 3, -0.7, -0.3?
-0.3
Let u = 8 - 10. Let o be ((-1)/u)/((-6)/12). What is the third biggest value in 14, o, -5?
-5
Suppose 2*a - 30 = 2. Let l be (a/(-168))/(4/6). What is the third biggest value in l, 0.4, 3/5?
l
Let n be 1/2*(-1)/3. Which is the second smallest value? (a) -0.1 (b) 4 (c) 0.2 (d) n
a
Let n = -800/7 - -114. Suppose -l + 3*y = 3, 3*y = -2*l + 5 + 7. Let t be l/10 + (-2)/4. What is the third biggest value in 2, t, n?
n
Let h = 1.97 - -0.03. Let o = -34 - -33. Let m = o - h. What is the third biggest value in 0.2, m, 0?
m
Let q = -2.81 - 0.39. Let m = q + 3. Let z = m + 3.2. What is the biggest value in z, 0, 0.1?
z
Let j = 0.03 + -0.13. What is the second biggest value in -1/5, j, 1/5?
j
Let i = 0.8 + -2.5. Let j = -1.4 - i. What is the smallest value in -2, j, 6?
-2
Let l = 4 + -3. Let i(y) = y**3 - 4*y**2 + 2*y - 6. Let s = 6 + -2. Let g be i(s). Which is the second smallest value? (a) l (b) g (c) -0.1
a
Let p = 0.7 - 0.3. Suppose 5*h = 2*h + 2*m + 7, 3 = 2*h - 3*m. What is the third biggest value in p, -2, h?
-2
Let y = -544377 - -318460628/585. Let g = -2/65 + y. What is the biggest value in 3, g, -1?
3
Suppose 0*d - 3*t - 11 = -d, -31 = 4*d + 3*t. What is the biggest value in -3, d, 0.7?
0.7
Let z = 5.06 + 0.54. Let n = z - 0.6. Which is the biggest value? (a) n (b) 0.1 (c) -5
a
Suppose s = -3*u + 133, -143 = -u - 2*u + 4*s. Let h be (-6)/u*9/6. Which is the third smallest value? (a) 0.2 (b) -5 (c) h
a
Let x = 7 + -7.6. Let f = -0.6 - x. Let l be (-4)/48 + 1/4. What is the biggest value in l, f, -5?
l
Let s = 0.28 - -0.12. Which is the second biggest value? (a) -2 (b) -2/21 (c) s
b
Let r = 137 + -686/5. Which is the second smallest value? (a) 0.1 (b) -0.8 (c) r
c
Let a(u) = u**2 - u - 1. Let s be a(-1). Let o be s*(-8)/6*-3. Suppose o - 9 = i. What is the third smallest value in -0.2, i, 3/8?
3/8
Let i be 16/15 - 10/25. Which is the biggest value? (a) -15 (b) 0.2 (c) i
c
Let r = -3.159 + -0.121. Let m = r - -0.28. What is the biggest value in 3, 3/7, m?
3
Let l = 0.017 + 0.483. Which is the third smallest value? (a) 0.3 (b) l (c) -0.5 (d) 3/7
d
Let o = 3.04 - 0.04. Let z(r) = r**3 - 4*r**2 - 6*r + 1. Let g be z(5). Let d be (9/g + 2)/3. What is the second smallest value in d, o, -0.1?
d
Let t = -17 - -20. What is the second biggest value in -1/17, -1, t?
-1/17
Let l = -9.5 - -10. What is the fourth biggest value in 2/7, 2/19, -3/8, l?
-3/8
Let y = 1.62 - 1.42. Which is the second biggest value? (a) y (b) -2 (c) 1
a
Let w = 56 + -56. What is the third smallest value in w, -4, -2/9?
w
Let s = -4 - 3. Let d = s - -6.8. Which is the second biggest value? (a) -1/4 (b) d (c) 3
b
Let p = 7.3 + -7. What is the second smallest value in p, -3, -4, -2?
-3
Let o = -22.5 - -23. What is the biggest value in 15, 1, o?
15
Let h = 13 + -17. Let o = 0.6 - -3.4. What is the second biggest value in h, 2/7, o?
2/7
Let s(f) = -10*f - 5. Let h be s(-1). What is the second smallest value in -3/7, 4/23, h?
4/23
Suppose -121 = -f - 4*f - 3*r, 0 = -r - 3. Let d be 3 - f/8 - 0. Which is the second biggest value? (a) d (b) -0.3 (c) 0.1
a
Let c be (66/(-8))/(5/(-120)). Let r be (-2)/(-9) - 8/c. What is the third biggest value in r, -3, -0.05?
-3
Let u(k) = -k**2 - 5*k + 4. Let r be u(-5). What is the second smallest value in -1/7, r, 0.5?
0.5
Suppose 0*d = -2*d - 10, 2*j + 5*d + 35 = 0. What is the third biggest value in j, 3, -5/2?
j
Let h = 31 - 32. Which is the biggest value? (a) -0.5 (b) h (c) -0.3
c
Let v = -787533/1126727 + 330/3037. Let u = -1/53 - v. Which is the biggest value? (a) 2/7 (b) u (c) -3
b
Suppose -9*k = -5*k - 20. What is the second biggest value in 0.1, -3, k?
0.1
Let i = 4.92 + 0.08. Let f be ((-12)/54)/(4/6) + 0. Which is the third biggest value? (a) f (b) i (c) 2
a
Let k = 1.5 - 7. Let v = k + 5. Which is the second biggest value? (a) v (b) 0 (c) -0.07
c
Let f = -6 + 5.5. Which is the smallest value? (a) 6 (b) f (c) 0.3
b
Let m = 112.5 - 113. Which is the fourth biggest value? (a) 2/7 (b) 0.5 (c) m (d) -4
d
Let f be 2*42/40 + (-22)/(-55). Which is the second biggest value? (a) -0.2 (b) -1/2 (c) -1 (d) f
a
Let m = 76 + -72. What is the second biggest value in m, -1, -2/5?
-2/5
Let s = 14 - 12. Suppose -2 = t + s. Let u be 1/2 + (-3)/3. What is the second smallest value in u, t, 3?
u
Let s = -11 + 16. Let d = 3.05 + -0.05. Which is the smallest value? (a) 4 (b) d (c) s
b
Let i be (-8)/40 - (-26)/(-20). Let j = 9/5 - 7/5. Which is the second biggest value? (a) -0.2 (b) j (c) i
a
Let n(m) = m**3 - 4*m**2 - 2. Let i be n(4). Let k be i/3*21/(-2). Let w = 6 - k. What is the second smallest value in 3, -0.5, w?
-0.5
Let h = 0.058 + -12.058. Which is the smallest value? (a) 1/8 (b) -4 (c) 5 (d) h
d
Let f = -4 + 10. Which is the second smallest value? (a) f (b) 3 (c) 1
b
Suppose 11 = -5*l - 4. Let f = -0.15 - -0.05. Let r = f - -0.6. What is the third biggest value in r, l, -1/3?
l
Let p = -131 - -129.82. Let d = p - -0.18. What is the second biggest value in 1, d, -2?
d
Let s = 0.074 + -0.274. Which is the second biggest value? (a) -4 (b) -1 (c) s (d) 18
c
Let j = 150.5 + -151. Let y(k) = k**2 + 2*k - 1. Let f be y(-2). Let z = -2.1 + 2. Which is the second biggest value? (a) f (b) z (c) j
c
Let i = 0.5 - 0.6. Let o = 1.18 - -0.02. Let g = o + -1. Which is the second biggest value? (a) g (b) 4 (c) i
a
Suppose -11 = 4*h - 5*l + 2*l, 0 = -3*h - 4*l - 2. Suppose 4*n + 27 - 3 = 0. Let p = n - h. Which is the smallest value? (a) p (b) -3/7 (c) 0
a
Let d = 0.21 - 1.21. Which is the third biggest value? (a) 0.1 (b) d (c) -0.3
b
Let j = -5 - 0. Let a be (2 + j - -1)/3. Let h = -4.1 + 0.1. What is the second smallest value in -1/5, a, h?
a
Let h = 4.34 + -0.34. Let o = -46 + 232/5. What is the biggest value in h, o, 2?
h
Suppose -3*s = z - 35, 3*z - 27 = -0*s - 3*s. Let g be 2 + (2 - 50/s). Let i = -52 - -55. Which is the third biggest value? (a) i (b) g (c) 3/8
b
Let q(k) = k + 14. Let j be q(-15). Which is the biggest value? (a) 1/4 (b) 5 (c) j
b
Let j = -22.1 + 26. Let c = 1.1 + j. Let q be (-2)/(1*-7 + (-30 - -25)). What is the third biggest value in 0.5, c, q?
q
Let f = -8 + 8.5. What is the second biggest value in -0.3, f, -2?
-0.3
Let m be 8/(-76) - (1 + -1). Suppose 0 = 5*d + 2*g + 33, -2*d = -3*d + 3*g + 7. Let t be (-5)/25 + (-11)/d. What is the second biggest value in m, 0.2, t?
0.2
Suppose -5*i + 23 = -2*x, 2*i + 2*i = 3*x + 24. Let k = 8 - 6.9. Let u = k - 0.8. What is the second biggest value in u, 2/5, i?
2/5
Suppose -3*h = 1 - 19. Let a be h/39 + 48/26. Let q = -2.6 - -2.9. What is the third biggest value in -5, a, q?
-5
Let l be (2/10)/((-12)/48). What is the fourth smallest value in l, -4/7, -0.5, -0.4?
-0.4
Let a = 3/8 + -23/40. Let u(k) = k**3 - 5*k**2 + 2. Let s be u(5). What is the third smallest value in 6, s, a?
6
Let w be 1/(-2)*(-2 + -10). Let v be 2/w - (-26)/(-42). What is the third smallest value in 1, 5, v?
5
Suppose 15 = -2*s + 1. Let v = 5 + s. Which is the smallest value? (a) 0.3 (b) v (c) -0.2
b
Suppose -o = -5 + 1. Let k = -4 + 5. Let g = -0.7 + k. What is the third smallest value in o, -1/5, g?
o
Let m be (5/(-1245))/(2/(-3)). Let t = m - -157/1494. What is the biggest value in 1, 5, t?
5
Let q = 19.6 - 25. Let s = 5.8 + -0.8. Let r = s + q. Which is the third biggest value? (a) 1/2 (b) -0.3 (c) r
c
Let d = -2.07 - -0.07. W | {
"pile_set_name": "DM Mathematics"
} |
(a) x (b) 0.1 (c) -5
c
Let l = 1.2 + -6.2. Let j = -116 + 121. Let z = 4.7 - 5. What is the smallest value in j, z, l?
l
Let q = 6.9 + -6.6. Which is the smallest value? (a) 0.1 (b) q (c) 2/9 (d) -2/3
d
Let o = 7 + -2. Let v be (-16)/9 + -3 + o. Which is the third smallest value? (a) v (b) -0.5 (c) 2
c
Let w = 1.9 - 2.01. Which is the biggest value? (a) 0.4 (b) w (c) 0
a
Let d = -15 - -20. Let b = -7 + 10. What is the smallest value in d, 0.4, b?
0.4
Let d be (24/56)/(2*1/(-2)). Which is the third biggest value? (a) 0.4 (b) d (c) 0.5
b
Suppose 0 = 5*o + 2 + 23. What is the biggest value in o, 5/2, -0.2?
5/2
Let u = 0 - -4. Let s = -294076 + 50287322/171. Let d = s - 32/19. What is the smallest value in d, -1, u?
-1
Let g be (-5982)/30 + (-4)/10. Let u = 199 + g. Let k = -0.1 + 0.1. Which is the smallest value? (a) k (b) u (c) -0.3
b
Let y = 151 - 752/5. What is the fourth smallest value in y, -0.3, 0.5, -2?
y
Let r = -35 + 177/5. Which is the second smallest value? (a) -2.3 (b) 3/2 (c) r
c
Let y = -53 - -46. What is the smallest value in -1/6, -0.3, y?
y
Let z = 1.24 - 0.54. Which is the third smallest value? (a) -2 (b) z (c) -5/3
b
Let l = 8 - 13. Let y = 10 + -10.2. Which is the second smallest value? (a) 3 (b) l (c) y
c
Let z = 64 + -59. Which is the second biggest value? (a) 0.1 (b) 15/2 (c) z (d) -4
c
Let o be (2/(-20))/(1/6). Which is the smallest value? (a) -5 (b) o (c) 1/51
a
Let w = 172 + -167. Which is the second smallest value? (a) -1.2 (b) -3 (c) -3/7 (d) w
a
Let z = -0.07 - -0.07. Let f = z - 9. Let r = 7 + f. Which is the second smallest value? (a) 2 (b) 4 (c) r
a
Let g be (-5)/(-15)*(-3)/5. Let h = -31/52 - 2/13. What is the second smallest value in h, g, 2?
g
Let x = 2/43 + 37/129. Which is the third biggest value? (a) x (b) -5/2 (c) 0.5
b
Let a = -48/7 + 247/35. What is the third smallest value in -0.5, a, -2/15?
a
Let g be (-16)/(-14)*(-5)/10. What is the smallest value in 0, g, -0.1, -1/5?
g
Let f = 183/2 + -99. Which is the third biggest value? (a) 2/17 (b) 1 (c) f
c
Let r = 6 + -3. Let j = 2.8 - r. Let i = -429/8 - -54. Which is the second smallest value? (a) j (b) 4 (c) i
c
Let c = -1.5 + 1.43. Let y = -0.07 - c. What is the second smallest value in y, -3/4, 2/9?
y
Let y = -3.3 - -3.6. What is the third biggest value in -4, -1.1, y?
-4
Let f(l) = -l**2 - 3*l + 2. Let r be f(-3). Suppose -7*s + r*s + 30 = 0. Let b be s/(-4)*(0 - 2). What is the smallest value in -5, b, 4?
-5
Let r = 7.7 + -15.7. What is the second biggest value in 1, r, 1/4?
1/4
Let k = -73.04 - -73. What is the third smallest value in 2/9, -4, 0.3, k?
2/9
Let p = 5.86 + 0.14. What is the second smallest value in p, -1, -3?
-1
Let u be (330/27)/((-136)/6). Let r = u + 12/17. What is the third biggest value in 5, -2/13, r?
-2/13
Let i = 1.4 - 1.5. Let t(o) = o**3 + o**2 - 10. Let f be t(0). Let y = f + 15. Which is the third biggest value? (a) y (b) 0.4 (c) i
c
Let w = 0.412 - 0.112. Let b be 0 - -1 - -5*1. What is the smallest value in -1/9, b, w?
-1/9
Let o = 28 + -28. Let z = -0.4 + 0. Which is the biggest value? (a) 4 (b) o (c) z
a
Let q(u) = u + 7. Let y be q(-9). Let p = 3 - 1. Let t = 0 + p. Which is the third smallest value? (a) t (b) y (c) -1
a
Let m = 4/13 + -41/91. Let g = -0.5 - -1.5. Which is the third smallest value? (a) m (b) -3/8 (c) g
c
Let s(m) = m**3 - 7*m**2 - 1. Let t be s(7). Let q = 0.1 - -0.9. What is the second biggest value in q, -2, t?
t
Let q be 4*((-25)/20 + 0). Let c = -0.1 + -0.1. What is the second biggest value in q, 0.5, c?
c
Suppose -1 = -3*d - 13, 5*d + 23 = 3*j. Which is the smallest value? (a) 4 (b) 3/5 (c) j
b
Let j = -3 - -2. Let s = 25 - 1. Let z be s/13 - (-2)/(-1). What is the third smallest value in z, j, -1/3?
z
Let w = 35 + -139/4. Which is the second smallest value? (a) w (b) 2 (c) -2/5
a
Let s = 0.052 - -0.448. Which is the second biggest value? (a) s (b) 2/25 (c) -4 (d) -4/5
b
Suppose 34 = -0*o + 3*o - 5*y, y = 4*o - 17. Let x be (-4)/(-2) + (-7)/o. Which is the second smallest value? (a) x (b) -0.5 (c) 0.4
a
Let g = -4.15 + 0.15. What is the second biggest value in g, -2/11, 2?
-2/11
Let n = -0.006 + 2.106. Let r = n - 0.1. Which is the second smallest value? (a) -3 (b) r (c) -1
c
Let y(t) be the first derivative of t**4/4 + 7*t**3/3 + 3*t**2 + 5*t - 8. Let i be y(-6). What is the third smallest value in 4/7, i, -0.4?
i
Let f = -0.071 - -6.171. Let w = f + -6. Let o be (-12)/18*(-3)/5. Which is the biggest value? (a) -4 (b) w (c) o
c
Let p = 226 + -2030/9. Which is the smallest value? (a) p (b) -4/5 (c) -3
c
Let d(j) = -j**2 - 7*j - 6. Let k be d(-6). Let g be k/(-2) - (-2 - 0). Suppose -4*h + 18 = 2*q, -6 = -2*q - 3*h + 2*h. What is the smallest value in g, 0, q?
0
Suppose -2*k - 13 = -5*n - 0, -5*k - 20 = 0. Which is the third smallest value? (a) 0.4 (b) -1/16 (c) n
c
Let h be (1/4)/(2/(-244)). Let k = 30 + h. Suppose -8 = 4*i - 6*i. Which is the biggest value? (a) i (b) -2/3 (c) k
a
Let w be 12/(-104)*1556/(-42). Let m = 31/7 - w. Let z be ((-3)/(-15))/(0 + 1). What is the third smallest value in m, 1, z?
1
Let v be ((-32)/24)/((-2)/(-6)). Which is the second biggest value? (a) 2 (b) 5 (c) v
a
Let o = 41 + -83/2. Let q = -12 - -17. What is the second smallest value in 4, q, o?
4
Let j = -26/3 + 17/2. What is the second smallest value in -0.3, 3, j?
j
Let w(b) = -b + 8. Let t be w(16). Let i = -3 - t. Let c = 0.1 - 2.1. What is the second smallest value in -5, i, c?
c
Let q = 5.91 + -6. Let i = q - -0.99. Which is the biggest value? (a) 1 (b) i (c) -2
a
Let r = 5 - 10. Let z be 19/(-44) - (-3)/12. What is the third smallest value in 5, z, r?
5
Let q be (-2)/(-3) - 6/90. What is the fourth smallest value in 2/11, 0, q, 1/2?
q
Let x be (-6)/12 + 10/(-4). Which is the smallest value? (a) x (b) -2 (c) -1/2
a
Let w = 1.56 + 0.44. What is the second biggest value in -5, w, 0.4?
0.4
Let h = 76 + -74. Which is the fourth biggest value? (a) 1/5 (b) h (c) -4 (d) 0.5
c
Let p = -57.4 - -57. Which is the second biggest value? (a) p (b) -2 (c) -1
c
Let u = 27.61 - 28.11. Suppose 2 = -2*x + 4*x. Let n be (-1 + x)/1 - -4. What is the third biggest value in -0.4, n, u?
u
Let w = 0.1 + 0.2. Let b = -80/3 + 27. Let r = 3 + -3.4. What is the third smallest value in w, b, r?
b
Suppose -6*y + 2*y - 8 = 0. Let x = 0.07 - 0.01. What is the smallest value in x, y, -1/8?
y
Let d = 0.74 + -7.64. Let v = d + 7. Which is the second smallest value? (a) -4 (b) -1 (c) v
b
Let m = -2 - -2.5. Let q = -199/485 - -1/97. Let x = -24 - -21. Which is the third biggest value? (a) x (b) m (c) q
a
Suppose -r = 3*l + 1, 3*l = -2*l + 4*r + 4. Suppose l = -5*h - 23 + 8. Which is the second biggest value? (a) 0.03 (b) h (c) -5
b
Let q = 746/5 + -150. Let p = -0.18 + 3.14. Let n = p + 0.04. What is the biggest value in q, n, 2/17?
n
Let u = -15 - -19. What is the third smallest value in 0.4, u, 2/3?
u
Let w = 176/3 + -59. Let g = 7 - 6. Which is the third biggest value? (a) -0.4 (b) w (c) g
a
Suppose -22 + 7 = -5*t. Suppose 3*l - 5 = 10. Which is the second smallest value? (a) l (b) 0.4 (c) t
c
Let t = -107 - -108. Which is the second smallest value? (a) 4 (b) 0 (c) -1/6 (d) t
b
Suppose 0*z - 2*z = -2*u - 54, 0 = 4*u - 20. Let g = z - 127/4. Let j = -17098/9 + 1900. What is the third biggest value in j, g, -1/3?
-1/3
Let o = 156 - 156. Which is the third smallest value? (a) 3 (b) o (c) -2 (d) -0.2
b
Let s = 5.97 - 6. Let n = -0.03 - s. What is the third biggest value in -2, n, -1/4?
-2
Let v = -7 + 6.7. Let y be -1 - 6/(-8)*2. What is the second biggest value in v, -3, y?
v
Let q = -0.2 - -0.3. Let w = 0.1 - q. Let d = w - -1. What is the third smallest value in -4, -0.1, d?
d
Let k = 10 - 7. Suppose 8*q - 3*q - 3*j = 2045, 1226 = 3*q - 2*j. Let u = q - 6178/15. Which is the third biggest value? (a) u (b) k (c) -2
c
Let u(v) = 2*v**2 - 6*v. Let g be u(3). Suppose -20*s + 25*s + 5 = g. Which is the third smallest value? (a) 1/9 (b) s (c) 1
c
Let o = 6 + -8. Let u = o - -9. Let g = 6.7 - u. What is the second smallest value in -4, g, 0.2?
g
Let s = -542 + 537. Let z = -4/11 + 41/22. Which is the biggest value? (a) | {
"pile_set_name": "DM Mathematics"
} |
ten thousand.
0
Let f = 497 - 497.00676. What is f rounded to 4 dps?
-0.0068
Let r = 30.8 - 80.1. Let o = 49.2611 + r. What is o rounded to 3 dps?
-0.039
Let n = -0.11226 + 0.71196. Let h = n - 0.6. What is h rounded to 4 decimal places?
-0.0003
Let i = 30941135943967.2100097 + -30941131658810. Let v = -4285157 + i. Let z = v + -0.21. What is z rounded to six decimal places?
0.00001
Let v be (-70781)/7 + (-162)/378. Round v to the nearest 1000.
-10000
Let n(p) = 2*p + 1. Let b be n(9). Suppose -b = 5*i + 11. Let a be 40*(-3 - i - 103). Round a to the nearest 1000.
-4000
Let i = 1222 - 1221.458. What is i rounded to one dp?
0.5
Let k = -800.7 - -957.14. Let o = -3.44 + k. Let n = o + -152.917. What is n rounded to 2 dps?
0.08
Let x = 7.6 + 6.4. Let a = x + -10.74. Round a to zero dps.
3
Let d = 2734 + -3255.6. Round d to the nearest 100.
-500
Let o = -50 + 46. Let n be 88000*(0 + (o - -6)). What is n rounded to the nearest 10000?
180000
Let o = -2120.09 + 2134. What is o rounded to the nearest integer?
14
Let k(f) = 16*f + 2254. Let l be k(0). Round l to the nearest 100.
2300
Suppose 0*w = -5*u + 3*w + 65, -5 = 2*u + 5*w. Suppose -5*x + 15 = -u. Suppose x*f - 170 = -5*q, 3*q = -6 - 3. What is f rounded to the nearest 10?
40
Let x = 83.23 - 1.23. Let q = 81.63 - x. What is q rounded to the nearest integer?
0
Let g(v) = 1910*v**2 - v + 1. Let z be 4/(-8)*-2 + 2. Suppose i - z*i + 2 = 0. Let x be g(i). Round x to the nearest one hundred.
1900
Let g = -0.02373 - -0.024. Round g to 4 dps.
0.0003
Let z = -7.5148 + 7.5. Let y = z - 0.02496. Let w = y + 0.04. Round w to five dps.
0.00024
Let i(v) = -9*v**2 - v. Let b be i(-1). Let l = b + 7. Let g be l/(-2) + (-63996)/(-8). What is g rounded to the nearest ten thousand?
10000
Let l = -19.1 - -101.1. Let z = l + -132. Let i = -49.99999885 - z. What is i rounded to 7 decimal places?
0.0000012
Let t = -0.02161926333 - -139357.64047926333. Let i = t + -139359. Let j = i - -1.38. Round j to four dps.
-0.0011
Let b = -0.29 - -0.3568. Let i = b + -0.06. Round i to 3 dps.
0.007
Let n = 8591310 - 8591225.000605. Let k = n - 85. What is k rounded to four dps?
-0.0006
Let v = 3066749922 + -3066749852.32336979. Let j = v + -71.026631. Let d = -1.35 - j. What is d rounded to 7 decimal places?
0.0000008
Let q be ((-3)/4)/((-2)/8). Suppose 0 = m - q*m + 620000. Round m to the nearest 100000.
300000
Suppose 87*q - 15 = 82*q. Let h be 1 + q + 1 + -545. What is h rounded to the nearest one hundred?
-500
Let j = 0.05 + -0.049807. Round j to 5 dps.
0.00019
Let q = 355760 + 508240. Round q to the nearest 10000.
860000
Let a(l) = 2*l**2 + l - 2. Let j be a(-3). Suppose 14*f - 6100 = j*f. Round f to the nearest one thousand.
6000
Let c = 13 + -12.5. Let f = c - 3.3. Let r = 2.47 + f. What is r rounded to one dp?
-0.3
Let f = -11.64 + 0.04. Let k = f + 11.07. What is k rounded to 1 decimal place?
-0.5
Suppose -3*p = -p - 852912. Suppose -5*a + p = -a. Suppose i - 36614 = -a. Round i to the nearest one hundred thousand.
-100000
Let n be 12/(-3)*620042/8. Let z = n - -1500021. What is z rounded to the nearest one hundred thousand?
1200000
Let r = -3.08976 + 3.1. Round r to 3 dps.
0.01
Let w = 90490.64532544 - -1108.22467656. Let c = w + -91599. Let n = 0.13 + c. Round n to five decimal places.
0
Let k = 101 - 145. Let v = 44.0058 + k. Round v to 3 dps.
0.006
Let t = -19 + 8. Let l = t - -11.24. Let k = 0.2 - l. Round k to two decimal places.
-0.04
Let r(z) be the second derivative of 2/3*z**4 + 5*z**2 + 1/2*z**3 + 0 - 2*z. Let g be r(10). Round g to the nearest 100.
800
Let l = 332.27 + -334. Let q = l - -124.73. Let u = -122.911 + q. Round u to two decimal places.
0.09
Let v = 753.9199 + 0.8801. What is v rounded to the nearest one hundred?
800
Let g = 1.12537 + -1.137. Round g to four decimal places.
-0.0116
Let t = 812 - 812.504. Round t to 1 decimal place.
-0.5
Let k = -384938128.9999927 + 384938216. Let z = 0.196 - 87.196. Let d = z + k. Round d to six dps.
0.000007
Let p = -5684843606513782 + 5684843665817199.25099877. Let k = -59303417 + p. Let j = k + -0.251. Round j to seven dps.
-0.0000012
Let o = 438.408767 + 0.001233. Let h = -435 + o. Round h to 1 dp.
3.4
Suppose -47*h - 1072 = -55*h. What is h rounded to the nearest ten?
130
Let v = 27 + 11. Let o = v - 29. Let p be 0 - o/((-36)/(-92000)). Round p to the nearest ten thousand.
-20000
Let z = 31.93755 - 0.00855. Let q = 31.8 - z. What is q rounded to 2 dps?
-0.13
Let j = -245 - -496. Let s = 231.7 - j. What is s rounded to zero decimal places?
-19
Let m(j) = -38831*j**2 - 9*j + 6. Let f be m(-2). Round f to the nearest one hundred thousand.
-200000
Let k = 0.0463 - 1.0873. What is k rounded to two dps?
-1.04
Let l = 48.82002993 + -48.82. Round l to 5 decimal places.
0.00003
Let i be (-171)/(-6 + (-6606)/3300*-3). Round i to the nearest 1000.
-31000
Let a = -394853 + 554653. Round a to the nearest ten thousand.
160000
Let r(b) = 427*b - 14. Suppose 0 = -2*j - 45 + 9. Let h be r(j). What is h rounded to the nearest one thousand?
-8000
Let m = -659906 - -1269906. Round m to the nearest one million.
1000000
Let b = 1.2 - -4.2. Let j = 94.37 - 100.2. Let i = b + j. Round i to 1 dp.
-0.4
Suppose 6*w - 5*w - 5*b = -10, 3*b = -2*w + 6. Let r = 762936 + 1129950. Suppose w = -d - r - 1207114. Round d to the nearest one million.
-3000000
Let o(m) = 1206*m. Let u be o(1). Let w be 0 + 0 + u/6. What is w rounded to the nearest 10?
200
Let z(o) = -20*o + 41. Let b(g) = -g. Let d(f) = 5*b(f) + z(f). Let l be d(6). Round l to the nearest ten.
-110
Let h = 0.2 - 0.02. Let v = -53647.8199932 - -53648. Let t = h - v. Round t to 6 decimal places.
-0.000007
Let p = -108 + 43. Let b = -64.99832 - p. What is b rounded to 4 decimal places?
0.0017
Suppose -3 = -2*y + 3. Let v be (1 - (y - 3))/(-1). Let x be 1240000 - v/3*0. Round x to the nearest one hundred thousand.
1200000
Let i = 40 - 40.27. Let o = 966 - 966.5. Let p = o - i. What is p rounded to 1 decimal place?
-0.2
Let o = 2.9166727 - -298.0816573. Let q = 301 - o. What is q rounded to 3 dps?
0.002
Let j = -0.64 - -0.63563. Round j to 3 decimal places.
-0.004
Suppose 3*t - 4*t = 84. Let m = t + 342. Suppose -g = g - m. Round g to the nearest 10.
130
Let y = 183 + -54. Let z = -128.9744 + y. What is z rounded to three dps?
0.026
Let u = 3348783.96785806708 - -0.03098193292. Let k = 3348726 - u. Let o = 58 + k. Round o to 4 decimal places.
0.0012
Let p = 140.803 + -4.473. Let r = p - 24.67. Let x = r + -110. What is x rounded to one decimal place?
1.7
Let p = -3 - -2. Let a = 6.1697 - 7.169604. Let d = a - p. What is d rounded to five decimal places?
0.0001
Suppose 0 = 4*o - 3 - 5. Suppose -3*j = -4*j + o. Let l be (1 - j/(-2)) + 74998. Round l to the nearest ten thousand.
80000
Let g = -85.05 - -84. Let f = 1.049928 + g. What is f rounded to five decimal places?
-0.00007
Let c = -0.024 + 0.608. What is c rounded to 2 dps?
0.58
Let s = -37.2 + 17.2. Let w = 9721.4 + -9701.3997. Let n = s + w. What is n rounded to four dps?
0.0003
Let c = 37986 + -36383.3. Round c to the nearest 10.
1600
Suppose 16*p - 12*p = 20. Suppose 3*z - 3*r + 1 = z, 4*z + p*r = 31. Suppose 0 = 5*d + 3*q - 4099994, z*d - 3*q = 5*d - 819994. Round d to the nearest 100000.
800000
Let n = 212726 - 805226. Round n to the nearest 100000.
-600000
Let r = -28 + 28. Suppose r = i - 3*f + 149015, -3*f = -3*i + f - 447020. What is i rounded to the nearest 10000?
-150000
Let h = 237 + -236.92. Round h to 1 dp.
0.1
Let v be ((-5636)/(-20) - -5)*5. Round v to the nearest one hundred.
1400
Let o = -0.52 - 0.02. Let w = o + 21.54. Let c = -20.99999934 + w. Round c to seven decimal places.
0.0000007
Let b = 26 - 47. Let s = -44 - b. Let r = s - -22.99982. What is r rounded to four decimal places?
-0.0002
Let g = -453.000000732 + 453. What is g rounded to six decimal places?
-0.000001
Let i = -3754 - -7174. Let g be (i/(-8))/((3 + -5)/16). Round g to the nearest 100.
3400
Let s = 6739.15 - 6537. Let k = s - 207. Round k to zero decimal places.
-5
Let r = -92.4875 - -93. Let z = 0.5 + r. Let u = 1 - z. Round u to 3 dps.
-0.013
Let m = -516.535 + 517. Round m to 1 dp.
0.5
Let n = 30.4 - 46.02. What is n rounded to the nearest integer?
-16
Let z(f) be the second derivative of | {
"pile_set_name": "DM Mathematics"
} |
0)/(-24)).
-6/5
What is (-896)/64*(-18)/21*2?
24
(2/2)/(((24/3)/(-4))/(-8))
4
Evaluate -2*(-8)/(-32)*0*1/(-4).
0
What is (3/(-4))/(8763/(-1016))?
2/23
Evaluate (4/8)/(2/(196/7)).
7
What is the value of (-6)/16*(-1540)/(-1155)?
-1/2
Evaluate ((-88)/(-286))/(88/52).
2/11
What is the value of ((-1212)/505)/(3/30)?
-24
Calculate (19/(1197/70))/(((-24)/54)/(-4)).
10
Calculate 3/(-2)*(-34)/((-1734)/85).
-5/2
What is (-157)/(189813/(-234))*2/(-6)?
-2/31
(10/85)/((-23)/(-29325)*15)
10
Calculate (44/220)/((-3)/(-9))*(-34)/6.
-17/5
Calculate ((-10)/(-75))/(3/45*-5).
-2/5
What is the value of -20*(16/6)/(400/(-120))?
16
Calculate ((-9)/(-8))/((-390)/104).
-3/10
Evaluate ((8/4)/4)/((-330)/(-132)).
1/5
What is ((-832)/(-240))/13*75?
20
Evaluate ((-22)/(-4))/((-21)/42).
-11
(-1)/(-10)*(-96)/240
-1/25
Evaluate 2*(-43)/((-2322)/36).
4/3
(1920/(-26400))/(4/(-50))
10/11
What is the value of ((-289)/17)/(-17)*10?
10
Calculate ((-15)/6)/(33/(-132)).
10
Evaluate (4/((-20)/(-5)))/(-1).
-1
Calculate (1*(-4)/(-9)*3)/((-2584)/204).
-2/19
16/(-1232)*7*11/2
-1/2
What is the value of (47/188)/(4/16)?
1
Evaluate (70/(2450/(-105)))/((-6)/(-14)).
-7
Evaluate (26/(-13)*1)/(14/7).
-1
Evaluate 4/18*(-174)/232.
-1/6
What is (2/22)/(-58*-2*(-1)/(-22))?
1/58
What is the value of 14/(840/(-204))*-1?
17/5
What is the value of (-29)/(435/420)*-6*(-1)/(-7)?
24
Calculate ((-60)/(-640)*-8)/(49/224*-1).
24/7
What is the value of 12/(6*(-3)/18)?
-12
Evaluate (-2)/((-66*(-1)/4)/((-36)/96)).
1/22
Calculate (14190/88)/43*4.
15
What is the value of (-18)/(-6)*(-10)/5?
-6
Evaluate ((-6)/5)/((-1256)/(-2355)).
-9/4
(-12)/(-32)*(-376)/(-3666)
1/26
Calculate -2*(-1)/(-4)*9/108*4.
-1/6
Calculate 109/(13625/(-20))*(-1)/4.
1/25
-15*14/490*(-12)/(-45)*5
-4/7
What is 2*(-7)/(-378)*-6?
-2/9
What is the value of (-6*4/(-6))/(896/128)?
4/7
(2/1)/((-140)/28)*10/46
-2/23
Evaluate (120/18)/2*(-9)/6.
-5
Calculate (-92)/(-36)*16/(400/225).
23
Calculate ((-165)/(-66))/((-95)/798).
-21
Evaluate (10/(-36))/((-48)/((-5472)/(-190))).
1/6
16/(-1480)*(-40)/(-12)*3/(-2)
2/37
((4/(-2))/(2144/1206))/(-3)
3/8
Calculate (1620/495)/((-20)/110).
-18
Calculate (165/(-132))/(2/(-24)).
15
Evaluate ((-121)/((-143)/(-13)))/(-1).
11
What is the value of (113/(-2373))/((-1)/(-6))*14/(-40)?
1/10
Calculate (-9)/(15*(-14)/(-20)).
-6/7
What is the value of (((-240)/42)/4)/(2/14)?
-10
(8/(-96))/(3/4)*(-18)/(-18)
-1/9
(13*(-5)/130)/1
-1/2
Calculate (91/(-7))/39*(-5)/5*-1.
-1/3
What is -9*(-6)/8964*(-236)/(-59)?
2/83
What is (((-14)/4)/(-7))/((152/32)/19)?
2
Calculate (-3)/(-663)*130*(-17)/(-2).
5
(297/(-2970))/((-2)/380)
19
What is the value of (3/35)/((-6723)/(-415)*1/6)?
2/63
(1/((-21)/(-90)))/((-21)/(-294)*3)
20
Evaluate -1*3*(-8)/32.
3/4
Evaluate (14*30/980)/(6/42).
3
What is the value of ((-15)/(-3))/(2/4)*132/(-165)?
-8
((-63)/(-9))/(((-294)/161)/(-6))
23
What is ((-160)/(-25))/16*(-5)/(-1)?
2
What is 6/(-9)*22/2904*36?
-2/11
What is ((-5)/2)/((-11565)/(-50886))?
-11
Calculate (9/1)/((-17)/34*8/4).
-9
What is ((-6)/14)/(-4*3*7/294)?
3/2
Calculate 9/(-3)*((-266)/(-28))/(21/(-14)).
19
What is (10*1/(-2))/((-655)/2096)?
16
What is the value of (((78/(-13))/(-18))/(-4))/(-2)?
1/24
What is the value of (-3)/198*-2*(-7)/28*8?
-2/33
Evaluate -1*(-66)/12*(-260)/(-55).
26
(((-6)/1)/1)/(-18*64/288)
3/2
What is the value of 17/(-680)*8*0*1?
0
What is the value of (-60)/18*((-2)/5)/(16/60)?
5
Calculate (9/(-3))/(((-1179)/(-524))/((-78)/(-8))).
-13
Evaluate (((-3)/(378/(-36)))/(2/21))/(-1).
-3
What is ((-2)/(-14))/((-10101)/(-3626))?
2/39
Calculate (-9)/3*(2/(-45))/((-56)/35).
-1/12
Evaluate (-5)/(-490)*-10*(-28)/(-70).
-2/49
Calculate 3*7/(-35)*-5.
3
What is the value of (570/76)/5*((-6)/1)/1?
-9
What is the value of (((-4)/4)/(4/4))/(2/10)?
-5
What is (-7)/2*((-1)/14)/((-12245)/(-1240))?
2/79
What is (24/(-9))/(186/(-837))?
12
(-39)/(-39)*((-12)/10)/(-2)
3/5
Evaluate ((-637)/1274)/(2/(-44)).
11
Calculate (104/(-2860))/(12/10).
-1/33
Evaluate (-1*(-2)/6*1)/((-153305)/(-122644)).
4/15
What is (696/290)/((-3)/(-90)*4)?
18
Evaluate (-2)/(-7*(-24)/(-18)*(-6)/4).
-1/7
Evaluate 5/5*-3*55*2/33.
-10
What is (138/(-92))/((-9)/96)?
16
Evaluate ((-21)/((-14)/(-2)))/((1155/(-10))/(-7)).
-2/11
Evaluate (19/(-513)*9)/((-6)/(-54)).
-3
Evaluate (1/(-6))/(27/((-49248)/(-16))).
-19
What is 21*22/2926*2/9*-3?
-2/19
What is the value of (-2)/16*(-2480)/310?
1
What is the value of (45/(-18)*((-30)/25)/3)/5?
1/5
Evaluate ((-54)/126)/(69/14).
-2/23
-4*1/70*10*(-49)/2
14
What is 8160/11832*87/6?
10
What is the value of 2/(-3)*(-5715)/762?
5
Calculate ((120/(-350))/(16/(-56)))/(4/5).
3/2
Calculate (-25)/(-10)*41/(14350/56).
2/5
(-20)/(-6)*-2*((-360)/(-16))/15
-10
Calculate (-8)/12*15*4*4/32.
-5
What is the value of ((-1)/3)/1*((-3894)/(-55))/(-118)?
1/5
Evaluate (560/(-196))/20*-126.
18
What is ((-10)/(-4))/((-5)/(-26))?
13
(-147)/(-14)*(-1)/(-3)*3420/(-1995)
-6
Calculate 1*-2*(2/(-60))/((-154)/308).
-2/15
What is the value of (585/1625)/(2/(-20))*(-5)/(-8)?
-9/4
Calculate 11*3*(-454)/(-2497).
6
Evaluate (12/(132/(-11)))/(13/2).
-2/13
Calculate ((-2)/(-6)*(-14)/((-784)/(-12)))/1.
-1/14
1/(18/9*(-6)/36)
-3
Calculate ((2640/(-1350))/44)/((-1)/25).
10/9
Calculate 6/1188*-3*4.
-2/33
What is the value of (1960/(-105))/(21/(-18))?
16
Evaluate (-11)/((-99)/(-12))*((-20553)/52)/(-31).
-17
Evaluate (-20)/(-2)*58/4930.
2/17
What is the value of ((-8)/3)/(-2)*115/(8280/(-324))?
-6
Evaluate 3/(-12)*1*(-1080)/(-18).
-15
((-57)/21)/(18/63)*12/3
-38
Calculate (6180/(-64272))/(10/(-24)).
3/13
What is the value of (4/(-24))/(2*-3*25/(-120))?
-2/15
Calculate (-80)/56*(-2)/(-5).
-4/7
(4/2)/((-96)/32)
-2/3
Calculate 3129/(-298)*(-16)/(-6)*(-8)/32.
7
Calculate ((-3)/(6/10))/(((-425)/60)/17).
12
Evaluate (-9)/(-126)*14*(-15)/(-3)*3.
15
24/(-12000)*-40*200
16
What is ((-6120)/3570)/(4/21*(-2)/(-4))?
-18
Calculate 4/462*(-9)/(54/(-42)).
2/33
What is the value of (8*(-14)/616)/(-2)?
1/11
Calculate (-6)/198*-11*3*19.
19
What is the value of 2/(3/(-6)*(-4)/23)?
23
Calculate (-70)/(-24)*(-76)/(-7714)*29.
5/6
Calculate 47/(1081/23)*((-1)/(-2))/(-1).
-1/2
Evaluate ((-90)/390)/((-12)/104).
2
Evaluate 21/((-189)/(-2))*3*(-9)/(-15).
2/5
Evaluate ((-4)/(-3))/2*5223/(-24374).
-1/7
Calculate (21/28)/((-39)/8*(-9)/27).
6/13
(765/120)/(72/192)
17
What is (76/798*(-1)/(-2))/((-2)/12)?
-2/7
(7/(-21))/((-78)/(-72)*2)
-2/13
Calculate 102/24*162/(-459).
-3/2
What is the value of 3*-10*18/1530?
-6/17
Calculate (28/21)/(25/((-450)/4)).
-6
Calculate 65/39*-2*2*12/8.
-10
Calculate (1*(-2)/(-3))/(-11*754/429).
-1/29
((-25)/(600/(-18)))/((-174)/(-16))
2/29
Evaluate (-1)/10*32450/(-295).
11
What is the value of (-56)/(-182)*39/54*6?
4/3
What is (-100)/600*(-4)/(-11)?
-2/33
(8/260)/((-20)/(-585)*9)
1/10
Evaluate ((-796)/(-2786))/((-20)/(-98)).
7/5
What is the value of ((-203)/(-986))/(378/216)?
2/17
What is the value of (-55)/(-2)*(1872/(-396))/(-13)?
10
What is (629/(-148))/(8/32)?
-17
What is the value of ((-12)/(-165))/((-7)/210*12)?
-2/11
Evaluate (2/2)/(-7)*5*(-10)/50.
1/7
Calculate ((-5)/(-4))/(85/136).
2
Evaluate ((-59)/(-236))/((252/64)/(-7)).
-4/9
Evaluate 20/69*1530/2040*(-4)/(-30).
2/69
30/225*-2*(-3)/4
1/5
Calculate (-1276)/(-1218)*24/22.
8/7
284/568*0/(-1)
0
What is the value of ((-1)/4)/(2312/(-17340))?
15/8
What is (2/(4/(2*-1)))/(753/9789)?
-13
Evaluate (-305)/732*(-28)/(-10).
-7/6
What is (3/(-21))/(((-1)/(-4))/((-315)/(-360)))?
-1/2
Calculate ((-12)/4)/(6/(-2)).
1
What is the value of ((-5)/10*(-4)/(-6))/(15/(-6))?
2/15
(-1*2)/(((-376)/(-28106))/(2/13))
-23
((756/9)/(-2))/((-6)/3)
21
9/3*(1/(-2))/(520/(-80))
3/13
What is 10/160*-40*48/(-10)?
12
Evaluate (8/(-1)*(-3)/42)/(14/49).
2
(-54)/90*(-105)/63
1
Evaluate (1580/(-1580))/(3/5).
-5/3
Calculate (9/2)/(-3)*(-135)/162.
5/4
Evaluate 39*(-5)/(-15)*(6/(-6))/(-1).
13
What is ((-2)/(-12))/(((-616)/816)/(-77))?
17
What is ((-9)/18)/((-1)/(-10)*-1)?
5
-2*(-22)/(-5*12/(-15))
11
Evaluate 20/4680*36*1*1/2.
1/13
((-13)/(-221)*17)/(68/48*-2)
-6/17
((-69)/(98670/44))/(((-2)/(-1))/20)
-4/13
(((-124)/(-310))/(2/(-55)))/1
-11
(-96)/40*170/68
-6
Calculate (6987/(-4658))/((-12)/(-10)).
-5/4
What is the value of 128/72*(182/28)/(-13)?
-8/9
What is ((-1188)/45)/(-22)*10/8?
3/2
Calculate ((-1)/(-2)*(-640)/1728)/((-1)/6).
10/9
Calculate (21/(-7))/((2/5)/(48/180)).
| {
"pile_set_name": "DM Mathematics"
} |
h is bigger: 0 or x?
0
Let c = -55 + 53. Let v = 2 - 2. Let n = 1 + v. Which is smaller: c or n?
c
Let r = -26.1 - -25. Let b = r - -1. Let h(f) = -f**3 - 3*f**2 + f + 2. Let i be h(-3). Is i not equal to b?
True
Suppose -5*b - 2*r - 8 = -0*b, 0 = 5*r + 20. Suppose b + 3 = -3*h. Is -1 > h?
False
Suppose 2*z + z = 0. Let j be (-2 + z)/((-6)/3). Is 8 <= j?
False
Let i be (-1)/(-3) - (-3)/45. Suppose -2 = -r + 10. Suppose -2*y + 3 = 8*h - 3*h, r = 3*y. Which is bigger: h or i?
i
Let q(b) = 2*b - b**3 + 0*b**3 + 2*b**3 - 2*b**2 - 1 + 0*b**3. Let x be q(1). Do x and 0 have different values?
False
Let v be -2 - (-2 + 1*-2). Let a(p) = 2*p**2 - p. Let c be a(-1). Is v greater than c?
False
Let i = -85847 + 770666/9. Let r = i - -217. Suppose 3*g - 4*g - 5 = 4*c, 2*g + 3*c = -5. Is g < r?
True
Suppose -19 = 2*f + p - 7, 8 = -4*p. Let r(h) = -4*h - 7. Let n be r(f). Suppose -3*g - n = -5*k, k + 0*g - g = 3. Is 1/2 < k?
True
Let n(b) = -b**2 + b. Let d(k) = -k**2 - 3*k - 1. Let g(s) = d(s) + 5*n(s). Suppose 3 = 2*r + 1. Let p be g(r). Which is smaller: -1 or p?
p
Let w = -0.17 - -0.17. Is 26 less than or equal to w?
False
Let i(a) = a**3 - 4*a**2 + 3*a + 2. Let d be i(3). Let u be 0 + 3*d/3. Let f be (-28)/(-24) - (-6)/(-9). Do f and u have the same value?
False
Let y = 17 + -97/6. Suppose 0 = 3*a + 4 - 10. Which is smaller: y or a?
y
Suppose -d = -4*d + 6. Suppose 2*h = -0 - d. Is -2 smaller than h?
True
Suppose 2*x + 2 = -2. Suppose 5 = -l + 1. Let i = -5 - l. Does i = x?
False
Suppose 39 = -4*l + 27. Let p be 14 - -1 - 6/l. Is 17 greater than or equal to p?
True
Suppose -5*t - 620 = -0*t. Let x be 2/14 - t/14. Which is bigger: x or 10?
10
Let z be 3/9 - (-11336)/(-42). Let h = z + 269. Which is smaller: h or 0?
h
Let y = 164 + -278. Let f = 20531/180 + 61/180. Let v = y + f. Is -1 > v?
False
Let p be 3 + (-1)/((-42)/360). Which is greater: p or 11?
p
Let u = 53.7 - 56. Let p = 4.3 + u. Is p greater than or equal to -3?
True
Let q be 1 + (-32)/(-20) + -3. Is q < 1/2?
True
Suppose 2*r + 12 - 3 = -5*w, 0 = -w - 5. Let x be -18*(6/r)/(-3). Is x at most 6?
True
Suppose -3*w = -2 - 1. Let u = 136/6279 - -2/273. Which is greater: w or u?
w
Let s(w) = -w + 5. Let j be s(4). Is 2/33 smaller than j?
True
Let l = -82 + 83. Is l greater than or equal to -1/117?
True
Let y be 844/(-24) + 3/18. Let z be 4/(-14) - (-25)/y. Which is bigger: 1/11 or z?
1/11
Suppose 0 = 4*s - 0*s. Suppose -4*f = -22 + 6. Let u be f/16*(-16)/(-6). Which is greater: u or s?
u
Suppose m = k - 2, 5*k = -2*m + m + 28. Let p be 2/4 - 9/6. Let o(q) = 6*q**2 - 1. Let v be o(p). Is v at most as big as m?
False
Let g be ((-6)/3)/(4/10). Let q(c) be the second derivative of c**5/20 + c**4/3 - 5*c**3/6 + c**2/2 - 2*c. Let n be q(g). Are n and 3/7 unequal?
True
Let p = -1.9 + 2. Let j = -1.98 + 2. Let b = 0.22 - j. Is b less than p?
False
Let t = 4407/88 - 405/8. Suppose -14 = 3*v + 4*k, 3*v + 0*k + 8 = -k. Which is smaller: v or t?
v
Let h = 1.2 + -0.2. Let c = 38 + -116/3. Do h and c have the same value?
False
Suppose -3*h - 2*q + 2 = 0, -3*h + 0*q - 4*q = 2. Let d = 0.4 - 3.4. Is d < h?
True
Suppose 0 = 2*r + 3*r + 2*v - 5, -2*r = 3*v + 9. Let x be -1 + r + (-64)/28. Which is greater: 0.2 or x?
0.2
Let u(z) = -20*z - 6. Let h be u(-4). Let x = -316324/4279 - 100/389. Let o = h + x. Is -1 less than o?
True
Let l = 227 + -1592/7. Let c = 5 + 1. Suppose c = 5*v + 1. Which is greater: v or l?
v
Let o = 5 + -9. Let n be (o/5)/((-4)/(-30)). Let z be (-1)/(3/n) + 1. Is 3 at most as big as z?
True
Let o = 0.13 + -0.03. Which is bigger: o or -9?
o
Let t = -3 + 6. Let v(d) = -2*d**2 + 3*d + 4. Let u be v(t). Suppose 0 = o - 1 + 5. Is o less than u?
False
Suppose 49 = -6*z + 1. Which is smaller: z or -12?
-12
Let r(v) = -2*v**3 - 3*v**2 - 5*v - 4. Let l be r(-2). Is l at least as big as 9?
True
Let s(b) = -b. Let v(u) = u + 1. Let w(c) = 4*s(c) + 3*v(c). Let o be w(-4). Which is bigger: -2/3 or o?
o
Let z be 20/4*-1 + 4. Are -1/106 and z nonequal?
True
Let n = -36 + 21. Let g = n + 8. Let r = g + 7. Which is bigger: r or 2/7?
2/7
Suppose 3*s - 18 - 9 = 0. Let w be (1 - 0)*(5 - 3). Let i be (-114)/27 + w/s. Are i and -2 nonequal?
True
Let t = 0 - -0.9. Let v be (1/8)/(3/(-6)). Which is smaller: v or t?
v
Let w = -83.9 + 84. Which is bigger: w or 40?
40
Let k be ((-2)/12)/(14/(-21)). Is -0.18 less than k?
True
Suppose -6*g = -8*g. Let r be ((-8)/(-34))/(-2 - g). Which is bigger: r or 0?
0
Let j = 1781/4792 - -2/599. Which is smaller: 1 or j?
j
Suppose -5*m = 15, 4*w + 7*m - 3*m - 116 = 0. Is w at least 31?
True
Let d(p) = -p**3 - 6*p**2 + 2. Let c be d(-6). Suppose -c*m = -m + 3. Let a(x) = -x**2 + 3*x - 2. Let w be a(2). Is w >= m?
True
Let s = -7 - -10. Suppose 0*x = s*x. Is x bigger than 1/8?
False
Let l be 4/(-10) - 118/5. Let p be 13/4 + (-18)/l. Suppose -4*b + 0*b + 16 = 0. Is b >= p?
True
Let j = 4.11 - 0.11. Let s = j + -4.1. Let r be ((-2)/6)/((-6)/18). Which is smaller: r or s?
s
Suppose -b + 2*q - 19 = 0, -2*q = 3*b - 7*q + 58. Is b at least -21?
True
Let g = 11 + -6. Let y = 15 - g. Let z = -13 + y. Is -3/2 > z?
True
Let d = -16 + 22. Let h be (3/(-3))/(4/(-20)). Which is smaller: h or d?
h
Let t = 24 - 25. Suppose -20 = -5*b - 0*b, 16 = -3*l + b. Let u = -6 - l. Which is bigger: t or u?
t
Suppose -2*n = -0*n - 3*z + 6, 5*z = 4*n + 14. Let c = n - 3. Do c and -0.1 have the same value?
False
Suppose 6*j = 3*j - 15. Let s(m) = m**2 + 7*m - 1. Let g be s(j). Is g <= -11?
True
Let h = -1 + -3. Let a be (3 - (-10)/h)*0. Which is greater: a or -3?
a
Suppose -6 = 2*q + 3*d, 9 = 3*q - 5*d - 1. Is q greater than or equal to -2?
True
Let t = -66 + 68. Let m = -2 + -1. Is m greater than t?
False
Suppose c - p = 5*c - 233, 0 = -c - 5*p + 44. Which is smaller: c or 58?
58
Let u = -6 - -9. Let c = u - -16. Let i be 2 + (-2)/(20/c). Which is smaller: i or 1?
i
Suppose w - 36 = s, 4*s + 104 = -0*s - 4*w. Are s and -30 equal?
False
Let c(w) = -w**2 - 17*w - 2. Let o be c(-18). Which is smaller: -21 or o?
-21
Suppose h - 3*l = 4*h - 3, 2*h - l = 5. Suppose -h*u = -3*p - 0*u + 7, -3*p - 3*u = 3. Which is smaller: p or 1/3?
1/3
Let s be ((-2)/(-3))/(2/6). Suppose -5*b + 36 = -s*b. Is b equal to 11?
False
Let b = -0.1 + 0.05. Is 2 less than or equal to b?
False
Let m = 1.2 - -0.8. Let j = 0.2 + -0.1. Let c = j - 0.2. Which is smaller: c or m?
c
Suppose -14*q = -20*q. Which is bigger: 2 or q?
2
Suppose 4*k - 57 = -17. Which is bigger: 9 or k?
k
Let f = 3 - 2. Let n = f - 1. Suppose -4*h + 5 = -y, -3*h + 0*h + 21 = 5*y. Which is bigger: h or n?
h
Let n(w) = -w**3 - 17*w**2 + 18*w - 43. Let f be n(-18). Which is bigger: -44 or f?
f
Let p = -1.6 + 1.49. Let f = 0.91 + p. Let k = -0.7 + f. Which is bigger: k or 0.5?
0.5
Let p be 2/6*(-27)/8. Let s(w) = w**2 + 3*w - 1. Let x be s(-3). Is x > p?
True
Let o = 151/9 - 3769/225. Are o and 1 non-equal?
True
Suppose 2 = -6*b + 2. Is -2/11 at least as big as b?
False
Let u = -23 + 23. Is u equal to 2/11?
False
Suppose -4*i + 2*k + 10 = 0, -17 - 3 = -i + 4*k. Suppose 0 = 5*d + 2*y - 3 - 3, 0 = -2*y + 6. Is i smaller than d?
False
Let y = -12 - 8. Let a = 20 + y. Which is greater: -0.3 or a?
a
Let z be (-2 + 3)*(0 + -4). Let q be (6/(-27))/(z/6). Let h = -1 + 0. Is h smaller than q?
True
Let w be -3 + ((-4)/(-146) - -3). Which is smaller: w or 0?
0
Let u = -2 + 2. Let y(j) = j - 1. Let l be y(3). Does l = u?
False
Suppose 5*p = r - 25, -53 = -4*r - p + 5. Is r at most 15?
True
Suppose -13 = 3*w + 35. Let p = w + 17. Which is greater: -4/11 or p?
p
Let f(k) = -k - 14. Let v(m) = -m - 13. Let x(n) = 3*f(n) - 4*v(n). Let p be x(-12). Is -1 equal to p?
False
Let u(q) = q**2 + 6*q. Let k be u(-6). Suppose y = 0, 3*y = -5*l - 3 + 8. Let h = k - l. Which is greater: h or 1/3?
1/3
Let t be ((-2)/(-6))/(21/63). Which is smaller: -2/43 or t?
-2/43
Let i = 13771/34 - 405. Is i > 1?
False
Let p = -0.1 - -0.05. Let g = 0.18 - -1.82. Is g smaller than p?
False
Let y(c) = c**3 - 5*c**2 - 6*c + 1. Let o(h) = h**2 + 8*h + 6. Let z be o(-8). Let i be y(z). Suppose 0 = -2*x - i - 3. Is 0.2 smaller than x?
False
Suppose -4*t = 2*f + 14, -2*f = 3*t - 2*t - 1. Let k be (-5 + 0 - 0)/1. Is k bigger than t?
False
Let m(b) = -2*b - 2. Let d be m(-3). Suppose 64 = -4*a + d*h, 7*a = 2*a - h - 62. Is a < | {
"pile_set_name": "DM Mathematics"
} |
)/o. Let k = -0.06 - 3.94. Which is the closest to i? (a) k (b) 2/9 (c) -0.4
b
Suppose -15*r = -12*r - 6. What is the closest to r in 0.5, 0.03, -2?
0.5
Let m(y) = -2*y - 7. Let r be m(-7). Let b be (-18)/22 - (r - 8). Let a = -3.1 + 3. What is the closest to -2 in a, b, 4/5?
a
Let s be 1 - -3 - 28/7. What is the nearest to s in 5, -1/9, -3?
-1/9
Let c = -7 - -5. Let u = c + 1.9. What is the nearest to 3 in 0.1, u, 4?
4
Let x = -58/3 - -176/9. Let o = -34.9 + 35. Which is the closest to o? (a) -2/13 (b) -0.5 (c) x
c
Let r be ((-18)/16)/((-21)/(-28)*-1). What is the nearest to -1 in -7, r, 0.2?
0.2
Suppose 4*y - 2 = 2*h - 4*h, -26 = 4*h - 2*y. Let o = 78 + -80. What is the nearest to -3/2 in h, 0, o?
o
Let h = -2.08 + 2. Let p = h - -1.08. Let d = -0.6 + p. What is the nearest to -1 in -3/5, d, -0.1?
-3/5
Let g = 1.2 - 1.3. What is the closest to -2 in 0.3, g, 0.4?
g
Let m = -3 + 2. Let w = -20 - -18. Which is the nearest to m? (a) -4 (b) w (c) -2/17
c
Let r = 77.5 + -78. Which is the nearest to -2/5? (a) 2 (b) r (c) -1.7
b
Let l = 181 + -181.97. Let o = l + -0.03. Let w = -14.1 - -14. What is the nearest to o in 0, w, 0.4?
w
Let k = -11 - -5. Let p = -3 - k. Let f = 0.1 - 0.4. Which is the nearest to -2/3? (a) p (b) f (c) 2/7
b
Let m = -643/5 + 129. Suppose -11*f + 7*f = 0. Let p be f + 2 + (-2 - 4). What is the closest to m in p, 0, 2/3?
2/3
Let u(c) = 24*c - 4. Let p be u(6). Let t be p/(-98) - 2*-1. Let x = -5 + 10. What is the nearest to 0 in 4, x, t?
t
Let s = -3 - 1. Let p = 29.8 - 29.3. Which is the closest to 1? (a) 5 (b) s (c) p
c
Let i = 0.11 - -0.19. Which is the closest to -0.2? (a) 1 (b) 1/4 (c) i
b
Let o = 3 - 8. Let p = o - -9. Let l = -2.31 + 2.51. What is the nearest to 0 in l, 1, p?
l
Suppose 8*o = -4*y + 3*o - 14, 3*y + 2*o + 7 = 0. What is the closest to y in -3, 0.3, 0.1?
0.1
Let k = 77.7 - 81. Let v = k - -3. What is the nearest to -1 in -5/3, -1/10, v?
-5/3
Let f = -8 + -1. Let h = 3/14 - -1/14. What is the closest to h in -3/2, 3, f?
-3/2
Let u = 34 + -24. Let f = 14 - 12. Suppose -f*q + 0*q = -u. What is the closest to -1 in 0.5, q, 4?
0.5
Let q = -17 + 16. Suppose -r = -1 - 3. Which is the nearest to q? (a) -5 (b) r (c) -3
c
Let i = -0.11 + -0.19. Which is the closest to -0.1? (a) -3 (b) 0.02 (c) i
b
Let r be 3/(-2)*(-2)/3. Let z = -0.1 - -0.3. Which is the closest to z? (a) 0.1 (b) 3/8 (c) r
a
Let d = -1.1 - -2.1. What is the closest to -1 in d, 1/7, 5?
1/7
Let j be ((-4)/(-12))/((-4)/3). Let d = -0.6 - -0.5. What is the nearest to j in 1, 4, d?
d
Let s = 395/6 - 66. What is the nearest to -1/4 in s, 3, -3?
s
Let c = 10 + -4. Let n = c - 5.8. What is the nearest to n in 5, -0.2, -3?
-0.2
Let v = -0.019 - 0.981. What is the closest to 1 in -2, 0.4, v?
0.4
Let d(m) = m**3 + 10*m**2 - 3*m - 5. Let r be d(-5). Let w be -2 - (-3)/(r/96). What is the closest to -1 in w, -1, 5/3?
-1
Let n = -1 + 2. Let o be 6 + -2 - (-8)/(-2). Which is the closest to o? (a) n (b) -2 (c) 0.2
c
Let q = -0.994 + -0.006. What is the closest to 1/3 in q, 3, 0.4?
0.4
Let h be 51/5*12 - 1. Let q = 121 - h. Let y(a) = -a - 1. Let j be y(-1). What is the nearest to q in 1/3, j, -2/7?
-2/7
Let g = 0.08 - -11.32. Let f = -11 + g. What is the closest to -1/4 in -5, 5, f?
f
Let q = 1.09 + -0.09. Let m = q + -2. What is the nearest to m in 1, -5, 0.4?
0.4
Let p = 14 + -10. Which is the nearest to 0.1? (a) 1 (b) -0.5 (c) p
b
Let u be 368/(-820) + (-1 - -2). Let z = -2/41 - u. What is the nearest to 1 in z, 3, -0.5?
-0.5
Let d be 1*(-1)/(0 + -6). Let z = 10 - 15. Which is the nearest to d? (a) 5 (b) 0.5 (c) z
b
Let k = 148 + -1922/13. Let t = 3 - 3. Let x = -30.8 + 31. What is the closest to -1 in k, t, x?
t
Let p = -0.06 - -0.16. Which is the closest to p? (a) 2/9 (b) 5 (c) -1
a
Let n = 241/819 - 1/117. Let z = -3.07 - -0.07. Let r = -2 + z. What is the closest to n in r, 3, -0.4?
-0.4
Let p = -0.1 + 0.2. Let v = 1.54 + 13.06. Let r = v - 15. Which is the nearest to p? (a) -0.2 (b) 0.3 (c) r
b
Let h = -2 - -2.5. Let n = -0.85 + -0.15. Which is the closest to n? (a) 1/7 (b) -3/5 (c) h
b
Let n = 2 - 1. Suppose 5*m - 2*z = 3 + n, 0 = -4*m - 4*z - 8. Let g = 11/6 + -13/6. What is the nearest to m in 5/2, 3/2, g?
g
Let d be 161/210 + 6/(-10). Which is the nearest to -1? (a) 1/12 (b) -1/4 (c) d
b
Let w be 0 + 2*5/45. Which is the nearest to w? (a) -5 (b) -3 (c) -2/7
c
Let w = -177537/5 + 35386. Let t = -121 - w. Let u = 2 + 1. Which is the closest to 1? (a) 0 (b) u (c) t
c
Suppose 5*c = 0, -c + 7 + 1 = -2*k. What is the closest to -1 in k, 0.3, -2?
-2
Let t = 9.3 - 10. Let y = t + 0.2. Which is the nearest to 0.1? (a) y (b) -2/7 (c) -4
b
Let r = -0.1 + 0.3. Let k = -0.05 + 2.05. Let c(m) = -m**3 - 8*m**2 - 2. Let s be c(-8). What is the closest to r in k, 3/5, s?
3/5
Let w = -0.127 - -2.127. Let d = 0.2 - 0.5. What is the closest to w in -3, 2, d?
2
Let g = 9 + -9. Let h = 35 - 39. What is the nearest to g in h, -4/3, 2?
-4/3
Suppose -2*w - 2 = -c, 2*w - 2*c = -0 - 6. Let q = 1.77 + -1.47. What is the nearest to 2 in w, q, -1/7?
w
Let j = -1711/7 + 244. Which is the closest to 0? (a) 1/11 (b) j (c) 3/2
a
Let v = 0.8 - 0.9. Let m be 3/1 - (-15)/(-5). Let d = m + 2. Which is the nearest to -0.2? (a) 0 (b) d (c) v
c
Let m be (-2)/(-12) + (-35)/(-60). Which is the closest to -1? (a) 2/5 (b) m (c) 2/3
a
Let i be 4/(-18)*(-2)/2. Which is the closest to -4? (a) -2/13 (b) 0 (c) i
a
Let r be 3/(-2)*(0 + 2). Let j = -2.52 - -2.12. What is the closest to 0 in -2/13, j, r?
-2/13
Let q be (2/10)/(2/6). Let f = -0.14 - 2.86. Which is the closest to -2/7? (a) q (b) f (c) -1/2
c
Suppose 2*l = -10, -2*r - 3*l - 35 = 3*r. Which is the nearest to 0.1? (a) 3 (b) r (c) 0.3
c
Let x = 5 + -5.1. What is the closest to x in -10, 1/5, 1?
1/5
Let g be ((-254305)/(-10))/((-147)/(-2)). Let m = -346 + g. Let t = -289/735 + m. What is the nearest to t in -2, 1, 0.4?
0.4
Let i = -17 - -37. Let p = i - 41/2. Suppose 3*k = 7*k + 20. What is the closest to 1 in k, -2, p?
p
Let r = -0.9 + -4.1. Let s(g) = g**3 - 8*g**2 - 7*g + 6. Let j be s(8). Let i be 1/5*j/40. Which is the nearest to i? (a) -0.2 (b) -2 (c) r
a
Let t = -0.006 - 0.014. Which is the nearest to t? (a) -2/9 (b) 3 (c) 0.2
a
Let q = -3.04 + 3. What is the closest to 0 in q, -3/2, -0.4?
q
Let d = 18.3 - 18. Let h(k) = -k**2 + 2*k. Let u be h(1). What is the nearest to 0.1 in u, d, 2?
d
Suppose -4*u + u = -3. Let k be u + -3 + -4 + 1. Let b = 0.6 - 0.1. What is the nearest to 1 in k, -1/7, b?
b
Suppose 3*u + 0 = -3. Let m be (-4 + 24)*(-2)/4. Let n be (-12)/15*m/4. Which is the closest to u? (a) 2/5 (b) n (c) -5
a
Let q = 22 - 22.5. Let l = q + 0.1. What is the closest to 0 in 5, 0.1, l?
0.1
Let z(u) = -2*u + 3. Let m be z(-1). Which is the nearest to 1? (a) 3 (b) m (c) -0.3
c
Let s be 1/4 - 294/728. Let o be (-1)/(-2) - 3/2. What is the nearest to o in -0.3, s, 0.2?
-0.3
Suppose -2*q - 19 = 2*q + t, 0 = -5*t - 15. Let k be 40/16 + 2/4. Let z = -5.4 + 5. Which is the nearest to -2? (a) k (b) q (c) z
c
Suppose 4*q - 11 = 3*l, -7*q + 16 = -2*q - 3*l. Which is the nearest to -2/3? (a) q (b) -1 (c) 0
b
Let k = 17 + -17.2. Let t(v) = 2*v - 9. Let q be t(6). Let b be (2/q)/(8/3). What is the nearest to 1 in -4, k, b?
b
Let p = -2.5 + 0.5. Let o be ((0 + -1)*-6)/7. Which is the closest to p? (a) 0.2 (b) 5 (c) o
a
Let t = 0.1 + 0.8. Let x = 1 - t. Let b be (-1)/(-3) + 7/(-12). What is the closest to x in 1/4, b, -1?
1/4
Let r be 286/60 - (-4)/10. Let l = r + -14/3. Which is the nearest to -2/3? (a) l (b) -4/3 (c) -1/2
c
Let z = 41 - 46. Which is the nearest to -2? (a) z (b) 0.1 (c) -3
c
Let q = -4 + -5. Let x = 8.9 + q. Which is the nearest to x? (a) -5 (b) 1/3 (c) 0.5
b
Let q(t) = -t**2 - 11*t - 10. Let o be q(-10). Let r = -1 + -2. Let s be ((-10)/6 + 2)/r. Which is the nearest to 0.1? (a) -0.2 (b) o (c) s
b
Let n = 8 - 12. Let o = 7 + -3. Let t(k) = k**3 - 21*k**2 + k - 21. Let j be t(21). Which is the closest to -1? (a) n (b) j (c) o
b
Let g(z) = 9*z**2 + 5*z - 4. Let f be g(-4). Let r = -1201/10 + f. Let n = 87 - 607/7. Which is the nearest to n? (a) 1/4 (b) 2 (c) r
a
Let l = -33.1 + 33. What is the closest to l in -0. | {
"pile_set_name": "DM Mathematics"
} |
factor of n?
True
Suppose -3*k - 16 = -22, -726 = -2*b + k. Is b a multiple of 14?
True
Let c be ((-1)/(-2))/(2/32). Suppose -8 = -3*r - 20. Is 15 a factor of 93/6 + r/c?
True
Let t(j) be the third derivative of -j**6/120 - j**5/20 + 5*j**4/24 + j**3/2 - j**2. Let r = -360 + 355. Does 28 divide t(r)?
True
Let r(q) = -1063*q - 37. Is r(-1) a multiple of 9?
True
Suppose -r + 5 = -9*p + 4*p, -r = -5. Suppose -9*a + 270 = -p*a. Is 15 a factor of a?
True
Let h(a) = a**3 - 9*a**2 + 7*a + 9. Let t be h(8). Let i(f) = 2*f**2 - 2*f - 6. Let p be i(3). Does 3 divide t*4 - 6/p?
True
Is 2 a factor of (11/(-5))/(-11) + 159/5?
True
Suppose 0 = 4*y + 3*i - 16, 5*i + 3 = y - 1. Suppose -z + 5 = y*z. Does 6 divide 0/(-9) + 15*z?
False
Let g = 43 + -40. Suppose -5*h + g*z = -265, 3*z + 142 = 4*h - 67. Is h a multiple of 14?
True
Let n(o) = o**2 + 14. Let b be n(5). Is -18*(-8)/6*b/12 a multiple of 4?
False
Suppose v - 1 - 1 = 0. Suppose s - d = 8, -v*d - 6 - 4 = 0. Suppose m + 3*m - 501 = -5*j, s*j + m - 302 = 0. Is j a multiple of 18?
False
Let x be (-35210)/(-15) - (-1)/(-3). Suppose 3*j + x = 5*w, 5*j + 3*w = 4*j - 801. Is j/(-12) - 2/(-8) a multiple of 12?
False
Let t be (-1 - -10)/((-2)/2). Let g be (-4 - -5) + 88/2. Does 24 divide t/(2 - 5) + g?
True
Suppose 0*u = -2*u + 14. Let r be (5 - u)*(-2 - 0). Is -12*6/(-16)*r a multiple of 12?
False
Let o(s) = 4*s**2 + s + 5. Let i(q) = -q**2 - 1. Let m(u) = -9*i(u) - 2*o(u). Let k be m(-11). Is 12 a factor of (-1 + k)*(-5)/(-15)?
False
Is ((-2016)/294)/(2/(-105)) a multiple of 28?
False
Suppose 118 = -2*r + 570. Suppose 0 = 3*q - 161 - r. Does 39 divide q?
False
Let f(i) = -i**3 - 12*i**2 - 29*i - 4. Let k be f(-9). Let s(z) be the second derivative of z**4/12 - 2*z**3 - 7*z**2 + 3*z. Does 9 divide s(k)?
False
Suppose -26*r + 650 = 4*q - 24*r, -5*r = -15. Is 7 a factor of q?
True
Let y be ((-447)/6)/(1/2). Let z = 239 + y. Does 30 divide z?
True
Suppose 0 = y + 59 - 94. Does 21 divide y?
False
Suppose 0 = -3*t + 6 + 9. Let y be 4332/84 - (-6)/14. Suppose x = t*x - y. Is 3 a factor of x?
False
Let c(h) be the second derivative of h**4/12 - 7*h**3/6 - h**2/2 + 5*h. Let f be c(6). Does 25 divide (2/4)/(f/(-434))?
False
Suppose 7*p = 6*p - 66. Let s = p - -185. Is 17 a factor of s?
True
Let h = -816 - -1938. Does 11 divide h?
True
Let s(q) = -109*q + 257. Does 52 divide s(-11)?
True
Let f(y) be the second derivative of y**2/2 + 7*y. Let t(q) = 4*q + 10. Let x(p) = 2*f(p) + t(p). Does 22 divide x(9)?
False
Is 104 a factor of (-14)/8*(14 - 45954/27)?
False
Suppose 8*c - 3*c + m = 8777, 6 = -2*m. Does 20 divide c?
False
Let j(u) = -2*u**3 - 11*u**2 + 7*u + 7. Let b be j(-6). Is b/(-1)*-4 - -122 a multiple of 18?
True
Let p = -79 + 367. Does 36 divide p?
True
Suppose 8*n + 2*t - 742 = 3*n, 4*t + 16 = 0. Is 11 a factor of n?
False
Suppose -5*c = -297 - 653. Let p = 333 - c. Let t = p + -15. Is 34 a factor of t?
False
Suppose -55*g + 33364 = 21*g. Is 8 a factor of g?
False
Let y(r) = -4*r**2 + 7*r - 5. Let q be y(4). Let n = q - -2. Let g = 39 - n. Is g a multiple of 21?
False
Suppose 0 = -14*j + 13*j + 1. Does 27 divide (-2)/j*438/(-12)?
False
Let q(s) be the second derivative of s**5/60 + 5*s**3/3 - 5*s. Let j(z) be the second derivative of q(z). Is j(11) a multiple of 22?
True
Does 25 divide 6*(-121)/(-66) + 1132?
False
Is (8 + (3 - -9))/(4/14) a multiple of 5?
True
Let b(t) = 4*t**3 - 81*t**2 + 71*t - 11. Let x(g) = 6*g**3 - 121*g**2 + 106*g - 17. Let o(n) = 7*b(n) - 5*x(n). Does 12 divide o(18)?
False
Suppose -2*s + 2466 = d, 2*s - 5*d - 1133 = 1321. Does 11 divide s?
True
Let u(s) = s**3 + 12*s**2 - 12*s + 18. Suppose 4*x + 83 = -4*k + 27, -2*k = -3*x - 32. Is 7 a factor of u(x)?
False
Let n = 1437 - 645. Is 27 a factor of n?
False
Let a(d) be the first derivative of -10*d**2 + 2*d + 5. Is a(-2) a multiple of 21?
True
Let y(j) = 107*j**2 + 3*j + 2. Let l(r) = 4*r - 30. Let s(g) = -2*g + 15. Let c(x) = -6*l(x) - 13*s(x). Let n be c(7). Is y(n) a multiple of 24?
False
Suppose -2*j = -7*j. Is 16 a factor of 71 - (0 - j) - 3?
False
Let m(x) = x**3 - 3*x**2 + 3. Let r be m(3). Suppose -4 = -s + r. Is 5 a factor of s?
False
Let k be 0 + -2 - (-54 - -1). Let t = 15 + k. Suppose 2*q = 3*m + t, -m = 2 - 0. Does 15 divide q?
True
Let q(n) = n**3 - 6*n**2 + 7*n. Suppose v = -0*v + 5. Suppose -h + 0*h = -v. Is q(h) a multiple of 10?
True
Let h be (2/(-3))/(((-55)/(-75))/11). Let u(a) = -a**2 - 11*a + 5. Does 4 divide u(h)?
False
Let h = -6 + 8. Let x(w) = -h*w + 4*w - w**2 - 4*w**2 + w**3. Is x(5) a multiple of 3?
False
Suppose 5*h = -20, 0 = -6*f + 4*f - 4*h + 794. Is 45 a factor of f?
True
Let h(l) = 597*l**3 + 2*l**2 - 3*l + 2. Let r be h(2). Suppose 5*m = -4*n - n - r, 2*n + 8 = 0. Does 13 divide m/(-24) - (-4)/(-6)?
True
Let v(c) = 15*c + 3. Let a be v(3). Suppose -3*n + a = 2*d - 52, -d + 3*n + 32 = 0. Is d a multiple of 9?
False
Let u be (-1*4)/2 - -7. Suppose u*g = 5*o - 5, -2*o + 1 = -g - 3. Suppose -o*r + 48 = -0*r. Is 10 a factor of r?
False
Suppose -4*u + 2*r - r = -124, 0 = -2*u - 4*r + 80. Let n = 62 - u. Does 27 divide n?
False
Suppose -9*s - 3*c - 55 = -10*s, 2*c - 192 = -4*s. Is s a multiple of 7?
True
Suppose 62*q = -51*q + 59890. Is q a multiple of 5?
True
Let y(v) = -9 + v**2 + 16 + v - 8 + 31*v**3. Suppose 0 = 10*n - 13 + 3. Is y(n) a multiple of 32?
True
Let s(y) = 21*y + 342. Is 18 a factor of s(12)?
True
Let f = -17 - -9. Let h = f + 10. Suppose -u = 3*g - 35, h*u + 11 = -4*g + 87. Is u a multiple of 17?
False
Suppose 86*h + 35720 = 106*h. Is 65 a factor of h?
False
Suppose 0 = -7*d + 5376 - 1848. Is d a multiple of 14?
True
Suppose -s + 20 = 3*s. Let u be (-5)/(-3)*(1 - -2). Suppose -4*i + s*n - 3*n = -358, -2*i - u*n = -149. Is i a multiple of 30?
False
Let j be (0 - 3 - -3)/4. Let k(r) = -r + 25. Let g be k(j). Let w = -9 + g. Is w a multiple of 3?
False
Let g(p) = 2*p - 19. Let o be g(10). Is ((-10)/(-5) + o)*7 a multiple of 5?
False
Suppose 0*h + 4*l = 4*h - 560, -664 = -5*h - 4*l. Is h a multiple of 17?
True
Let u = -187 - -443. Let n = u + -176. Let i = 144 - n. Does 32 divide i?
True
Is (-18)/63 + (-8)/(-28) + 292 a multiple of 22?
False
Let a = 2669 - 1734. Is a a multiple of 88?
False
Let h(c) = -c**2 + 4 + 3 + c - 1 + 0. Let s be h(3). Suppose 3*o + o - 80 = s. Is 10 a factor of o?
True
Suppose -5 = -5*c, 5*c - 2*c = 5*s - 12. Let z be (s - 40/12)*-3. Does 4 divide 6 - 8/(z*-4)?
True
Let u(l) = 2*l + 14. Let p be u(-6). Suppose 111 = -h + p*h. Suppose 7*a - 4*a = -3, 0 = 5*t - a - h. Is 9 a factor of t?
False
Let h = 8 - -2. Does 7 divide (0 - 2) + 5/h*158?
True
Let d(h) = -h**3 + 4*h**2 + 2*h - 5. Let b be d(4). Let g be 4/12*b + -5. Let r = g + 55. Is 17 a factor of r?
True
Is 882/35*2/8*110 a multiple of 77?
True
Let f(j) be the third derivative of j**6/120 + 17*j**5/60 - j**4/6 - 3*j**3 - 9*j**2. Is f(-17) a multiple of 19?
False
Let j(z) = -5*z**3 - 6*z**2 + 6*z + 5. Does 25 divide j(-5)?
True
Suppose -28 = -4*i + 16. Suppose t + i = 31. Is 5 a factor of t?
True
Let g = 198 + 186. Does 35 divide g?
False
Let y(s) = 124*s - 458. Is y(33) a multiple of 12?
False
Let z be (1/(-2))/(3/(-30)). Suppose -z - 1 = -2*h. Suppose -4*y + 4*w + 93 + 35 = 0, -h*w = 3*y - 84. Does 30 divide y?
True
Let x(m) = -m**2 - 4*m + 15. Let d be x(-11). Let n = 152 + d. Is n a multiple of 30?
True
Let l = 1237 - -55. Is 17 a factor of l?
True
Let q(l) = 6*l**2 + 13*l + 33. Does 18 divide q(-6)?
False
Suppose 894 = 1184*u - 1182*u. Does 20 divide u?
False
Let o = -449 + 644. Is 20 a factor of o?
False
Let x = 851 + -837. Is x a multiple of 14?
True
Suppose 33 = 6*v - 615. Is v a multiple of 3?
True
Let k(w) be the second derivative of 5*w**4/4 + 5*w. Does 13 divide k(2)?
False
Suppose 0 = -312*k + 294*k + 13680. Does 6 divide k?
False
Let x(p) = -p**3 + 10*p**2 - 8*p - 3. Let q be x(9). Suppose -2*y - 3*c = 4, -c + 28 = 2*y - q*c. Suppose 0*z - y*z + 112 = 0. Does 14 divide z?
True
Let y(t) = 27*t + 18. Suppose -4*f + l = -4*l - 1, 2*l = -5*f + 26. Does 14 divide y(f)?
True
Let d = -6 + 10. Suppose -2*j - d*n - 75 = -n, 4*n - 4 = 0. Let u = j + 69. Is u a multiple of 12?
False
Suppose -2*o + 3*a = -1, -5*o - a + 8 = -4*o. Suppose o*m - 143 = -3*u + 7*m, -m = -u + 48. Is u a multiple of 22?
False
Let z = 81 + | {
"pile_set_name": "DM Mathematics"
} |
git of 1037?
1
What is the tens digit of 2211?
1
What is the units digit of 5267?
7
What is the thousands digit of 10735?
0
What is the tens digit of 548?
4
What is the tens digit of 130900?
0
What is the thousands digit of 56299?
6
What is the units digit of 28657?
7
What is the thousands digit of 3189?
3
What is the units digit of 16409?
9
What is the tens digit of 4587?
8
What is the hundreds digit of 799?
7
What is the hundreds digit of 6478?
4
What is the tens digit of 10253?
5
What is the units digit of 72374?
4
What is the units digit of 4279?
9
What is the tens digit of 151908?
0
What is the ten thousands digit of 28043?
2
What is the thousands digit of 1038?
1
What is the tens digit of 50690?
9
What is the tens digit of 1789?
8
What is the units digit of 15147?
7
What is the tens digit of 5067?
6
What is the tens digit of 7196?
9
What is the hundreds digit of 1844?
8
What is the hundreds digit of 5697?
6
What is the ten thousands digit of 18087?
1
What is the ten thousands digit of 26928?
2
What is the ten thousands digit of 12533?
1
What is the hundreds digit of 1388?
3
What is the thousands digit of 51591?
1
What is the thousands digit of 35581?
5
What is the tens digit of 2011?
1
What is the hundred thousands digit of 166928?
1
What is the tens digit of 45162?
6
What is the tens digit of 2844?
4
What is the ten thousands digit of 38375?
3
What is the thousands digit of 1494?
1
What is the hundreds digit of 28022?
0
What is the units digit of 10138?
8
What is the thousands digit of 3102?
3
What is the ten thousands digit of 16115?
1
What is the hundreds digit of 68629?
6
What is the units digit of 8029?
9
What is the ten thousands digit of 16573?
1
What is the units digit of 79975?
5
What is the hundred thousands digit of 136116?
1
What is the thousands digit of 37168?
7
What is the hundreds digit of 1614?
6
What is the tens digit of 6376?
7
What is the hundreds digit of 13520?
5
What is the units digit of 1853?
3
What is the ten thousands digit of 59752?
5
What is the units digit of 4421?
1
What is the tens digit of 99647?
4
What is the tens digit of 3200?
0
What is the hundreds digit of 94872?
8
What is the tens digit of 12500?
0
What is the units digit of 766?
6
What is the hundreds digit of 531?
5
What is the units digit of 125145?
5
What is the hundreds digit of 14933?
9
What is the tens digit of 7314?
1
What is the tens digit of 836?
3
What is the units digit of 309?
9
What is the hundreds digit of 61119?
1
What is the tens digit of 3991?
9
What is the thousands digit of 2743?
2
What is the tens digit of 1419?
1
What is the thousands digit of 17234?
7
What is the thousands digit of 95930?
5
What is the tens digit of 9778?
7
What is the units digit of 2863?
3
What is the ten thousands digit of 19229?
1
What is the hundreds digit of 390?
3
What is the hundreds digit of 809?
8
What is the hundreds digit of 25796?
7
What is the hundreds digit of 8278?
2
What is the hundreds digit of 6499?
4
What is the tens digit of 827?
2
What is the units digit of 2991?
1
What is the ten thousands digit of 153885?
5
What is the units digit of 48483?
3
What is the units digit of 2679?
9
What is the units digit of 9635?
5
What is the thousands digit of 1841?
1
What is the ten thousands digit of 175684?
7
What is the units digit of 23773?
3
What is the thousands digit of 47936?
7
What is the tens digit of 10651?
5
What is the thousands digit of 4150?
4
What is the tens digit of 33154?
5
What is the thousands digit of 1443?
1
What is the hundred thousands digit of 130170?
1
What is the hundreds digit of 7826?
8
What is the hundreds digit of 2120?
1
What is the thousands digit of 6141?
6
What is the tens digit of 1258?
5
What is the units digit of 594?
4
What is the tens digit of 6729?
2
What is the hundreds digit of 6709?
7
What is the tens digit of 103?
0
What is the tens digit of 8284?
8
What is the tens digit of 182?
8
What is the tens digit of 25618?
1
What is the hundreds digit of 6694?
6
What is the hundreds digit of 39663?
6
What is the hundreds digit of 4284?
2
What is the units digit of 148?
8
What is the units digit of 1655?
5
What is the hundred thousands digit of 111085?
1
What is the tens digit of 25442?
4
What is the thousands digit of 1562?
1
What is the tens digit of 13226?
2
What is the hundreds digit of 27717?
7
What is the hundreds digit of 5698?
6
What is the units digit of 2845?
5
What is the units digit of 6?
6
What is the thousands digit of 3972?
3
What is the thousands digit of 1082?
1
What is the ten thousands digit of 14930?
1
What is the hundreds digit of 5226?
2
What is the hundreds digit of 12779?
7
What is the hundreds digit of 137?
1
What is the hundreds digit of 620?
6
What is the thousands digit of 26018?
6
What is the tens digit of 230?
3
What is the tens digit of 2700?
0
What is the thousands digit of 3616?
3
What is the tens digit of 14218?
1
What is the tens digit of 3449?
4
What is the units digit of 48096?
6
What is the tens digit of 443?
4
What is the tens digit of 12463?
6
What is the thousands digit of 2907?
2
What is the thousands digit of 2757?
2
What is the hundreds digit of 22682?
6
What is the units digit of 7721?
1
What is the hundreds digit of 1003?
0
What is the thousands digit of 23749?
3
What is the units digit of 1526?
6
What is the thousands digit of 1328?
1
What is the units digit of 9140?
0
What is the tens digit of 1399?
9
What is the ten thousands digit of 12071?
1
What is the units digit of 3391?
1
What is the tens digit of 14509?
0
What is the units digit of 28467?
7
What is the tens digit of 6058?
5
What is the thousands digit of 12994?
2
What is the ten thousands digit of 10454?
1
What is the tens digit of 2476?
7
What is the units digit of 80783?
3
What is the units digit of 2118?
8
What is the units digit of 829?
9
What is the units digit of 131183?
3
What is the thousands digit of 5156?
5
What is the ten thousands digit of 13066?
1
What is the tens digit of 1539?
3
What is the units digit of 5631?
1
What is the tens digit of 6545?
4
What is the tens digit of 1830?
3
What is the tens digit of 3043?
4
What is the ten thousands digit of 53547?
5
What is the units digit of 2407?
7
What is the tens digit of 2439?
3
What is the ten thousands digit of 29858?
2
What is the hundreds digit of 35006?
0
What is the units digit of 543?
3
What is the units digit of 13596?
6
What is the ten thousands digit of 12807?
1
What is the tens digit of 456?
5
What is the thousands digit of 23589?
3
What is the hundreds digit of 27684?
6
What is the units digit of 23667?
7
What is the hundreds digit of 17907?
9
What is the thousands digit of 6577?
6
What is the units digit of 526?
6
What is the tens digit of 3680?
8
What is the hundreds digit of 6596?
5
What is the units digit of 1882?
2
What is the thousands digit of 4402?
4
What is the thousands digit of 1154?
1
What is the units digit of 6965?
5
What is the hundreds digit of 2832?
8
What is the hundreds digit of 1515?
5
What is the tens digit of 4652?
5
What is the tens digit of 497?
9
What is the thousands digit of 2001?
2
What is the hundreds digit of 10144?
1
What is the thousands digit of 29848?
9
What is the tens digit of 1032?
3
What is the units digit of 20301?
1
What is the hundreds digit of 139647?
6
What is the tens digit of 7525?
2
What is the hundreds digit of 5683?
6
What is the ten thousands digit of 16844?
1
What is the hundreds digit of 4567?
5
What is the hundreds digit of 2733?
7
What is the thousands digit of 3417?
3
What is the tens digit of 7617?
1
What is the thousands digit of 133019?
3
What is the thousands digit of 2376?
2
What is the tens digit of 4502?
0
What is the units digit of 14618?
8
What is the units digit of 4502?
2
What is the tens digit of 4545?
4
What is the tens digit of 178?
7
What is the hundreds digit of 13892?
8
What is the thousands digit of 90609?
0
What is the hundreds digit of 3727?
7
What is the units digit of 661?
1
What is the tens digit of 229?
2
What is the hundreds digit of 897?
8
What is the hundreds digit of 6159?
1
What is the hundreds digit of 157246?
2
What is the units digit of 4357?
7
What is the ten thousands digit of 10928?
1
What is the tens digit of 11997?
9
What is the tens digit of 10392 | {
"pile_set_name": "DM Mathematics"
} |
st common divisor of 44 and o.
4
Let a = -238 - -166. Let p = 151 + a. Let u = p - -41. Calculate the highest common factor of 15 and u.
15
Let t be 0 - (-3)/(1 - 4). Let i = 3 + t. Let n be (-2)/5 + 32/5. What is the greatest common divisor of i and n?
2
Let u(k) = 3*k**2 + 4. Let l be u(2). Calculate the highest common factor of 4 and l.
4
Suppose w + 3 = -u, -5*u - 2*w + 0*w = 0. Suppose 2*l = -3*x + 14, -3*x = -u*l + 10 + 4. What is the highest common factor of 1 and l?
1
Let h(a) = a**2 + 5*a + 5. Let r be h(-5). Let k(y) = -7*y - 36. Let d be k(-13). Calculate the greatest common factor of r and d.
5
Let c(u) = 5*u + 2. Let d(b) = -b**3 - 2*b**2 + 5*b**2 + 3 - 1 + 4*b. Let f be d(4). Let h be c(f). What is the greatest common divisor of h and 3?
3
Let q be -2 + 2 - 2 - -14. Let w = -6 - -5. Let m be 85 + w + 0/2. What is the greatest common factor of q and m?
12
Suppose 38 = s + 3*p, 4*p + 144 = 3*s + 17. What is the greatest common factor of 369 and s?
41
Let m = 4 + -5. Let l be (-3)/((-3)/m)*-5. Suppose -l*r + 380 = 4*f, 4*r = f - 4*f + 303. What is the greatest common factor of r and 9?
9
Let k(t) = -t + 8. Let w be k(4). What is the greatest common factor of w and 8?
4
Let c(m) = m**3 - 8*m + 3. Let v be c(5). Let w(f) = -f**3 - 6*f**2 + f - 20. Let x be w(-7). What is the highest common factor of v and x?
22
Suppose 2*o + 9*x = 4*x + 52, -8 = -4*x. Calculate the greatest common divisor of o and 7.
7
Let v = -677 - -972. Suppose 5*g = -i + v, 100 = 3*g - 5*i - 105. Suppose 107 + 13 = 10*r. Calculate the greatest common divisor of r and g.
12
Suppose 3*u = -2*i + 3, -2*i + 4*u = u - 33. What is the greatest common factor of 81 and i?
9
Let x = 87 + -69. What is the highest common factor of x and 3?
3
Let v be (1/(-2))/(2/(-4)). Let d = 14 + -5. Calculate the greatest common divisor of v and d.
1
Suppose 5 = 5*d - 0. Let f(c) = 3*c - 4. Let x be f(5). What is the greatest common factor of x and d?
1
Suppose 0 = y + 3 - 4. Let m(o) be the third derivative of 5*o**4/24 + o**3/6 + 2*o**2. Let x be m(y). Calculate the highest common divisor of 66 and x.
6
Let h be (17 - 2)/((-4)/(-4)). Suppose 3*u - 2*v = h, u - 3*v - 11 - 1 = 0. Calculate the greatest common divisor of u and 6.
3
Let g(j) = 4*j**2 - 2*j - 5. Let q be g(2). Calculate the highest common factor of q and 2.
1
Suppose u - 8 = -u. Suppose -5*q = -5*c - 50, -u*c = -2*q + c + 35. What is the greatest common factor of 45 and q?
5
Suppose -4*u + 32 = 4*u. Calculate the highest common factor of 10 and u.
2
Let c = 39 + -78. Let d = c - -55. What is the highest common factor of 144 and d?
16
Suppose 0 = 4*s + 2*s - 504. What is the highest common divisor of s and 21?
21
Let h(s) = -s**2 + 13*s - 10. Let i be h(12). Suppose 32 + 10 = i*c. What is the greatest common divisor of c and 84?
21
Suppose 0 = -4*o + 21 + 51. Let c = o + 32. Suppose 4*j = -0*j + 40. Calculate the greatest common divisor of j and c.
10
Let x(g) = -g**3 + 10*g**2 - 4*g. Let p be x(9). Suppose -p = 3*u - 6*u. What is the highest common factor of 5 and u?
5
Let d = 100 - -44. Calculate the greatest common factor of 18 and d.
18
Let n(y) = y**3 - 3*y**2 + 2*y. Let d be n(3). Suppose -d - 9 = -3*j. Let a be 2/(-5) - 7/(-5). What is the highest common factor of j and a?
1
Let d be 1*(1 - -1) - 1. Suppose -d = -3*i + 5. Calculate the greatest common divisor of 14 and i.
2
Suppose -3*s + 3*f = -933, -2*f + 5 = 3. Calculate the greatest common divisor of 24 and s.
24
Let l(h) = -h**2 + h + 5. Let u be l(-6). Let m be u/(-7) + (-4)/14. What is the greatest common divisor of 5 and m?
5
Let y(m) = 4*m**2 - 2 - m**2 - 2*m**2 + 4*m. Let f be y(-6). What is the greatest common factor of 110 and f?
10
Suppose -r - 26 = 3*w, -w + 6*w - 4*r + 32 = 0. Let b = -7 - w. Let z be 8/(1/(8/b)). Calculate the greatest common divisor of z and 8.
8
Let y be ((-1)/2)/(2/28). Let d(t) = 6*t + 6. Let x(u) = 11*u + 12. Let o(z) = 5*d(z) - 3*x(z). Let g be o(y). What is the highest common divisor of g and 45?
15
Suppose 2*x + 5 = -7. Let p = 4 - x. Let g = 1 + 1. Calculate the highest common factor of g and p.
2
Let c = -15 + 25. Let y = -4 + c. What is the greatest common divisor of 48 and y?
6
Let a = 22 + 2. Calculate the highest common factor of a and 216.
24
Let x = 32 + -4. What is the greatest common factor of 308 and x?
28
Suppose -5*l = -l. Suppose l = -2*i - 3*i + 100. Let v(t) = -t**3 + 3*t**2 + 4*t - 2. Let h be v(3). What is the greatest common divisor of h and i?
10
Suppose -748 + 2268 = 5*a. Let o = a + -209. Calculate the highest common divisor of 19 and o.
19
Let n(g) = -4*g**3 - 7*g**2 - 4*g - 3. Let o be n(-5). Calculate the highest common divisor of 38 and o.
38
Let c = -135 - -271. Calculate the highest common factor of c and 17.
17
Suppose -27 = -2*l + 3*w, 0*l + 3*l + 3*w - 3 = 0. Calculate the highest common factor of 42 and l.
6
Suppose 0 = -3*y - y. Suppose y*g + 56 = 4*g. Suppose -5*x + 66 + 144 = 0. Calculate the greatest common factor of x and g.
14
Let u(v) = 17*v - 4. Let f be (-12)/(-18)*(-15)/(-2). Suppose 3*x - 20 + f = 0. Let l be u(x). Calculate the highest common factor of 9 and l.
9
Suppose 0 = 2*m - 3*m + 25. Let d = 24 - 19. What is the highest common factor of m and d?
5
Suppose -u = -5*u + 24. Let l = 10 - u. Let o be 8*(-1)/l*-6. What is the greatest common factor of 108 and o?
12
Let b be 1*(0 - (-9 - 1)). Suppose -5*z + 180 = -z. Let d be z/(-6)*8/(-6). Calculate the greatest common divisor of d and b.
10
Let m be (-3)/5 + 1722/70. What is the greatest common factor of m and 56?
8
Suppose 396 = 3*l - 558. Suppose 82 = 5*u - l. Let v = u - 10. Calculate the highest common divisor of 10 and v.
10
Let z be (6/(-15))/(2/(-130)). Calculate the highest common factor of z and 182.
26
Let c be (-5 - -15) + (0 - 4). Calculate the greatest common factor of c and 15.
3
Suppose 5*f + 249 = 4*n + 1729, -3*f = n - 888. Let j = f - 175. Let g = j - 76. What is the highest common factor of 30 and g?
15
Let x = -10 - -14. Let s(o) = 2*o**2 - 3*o - 4. Let c be s(4). What is the highest common divisor of c and x?
4
Suppose -118 = 3*d - 586. Let p be d + 2 - (5 - 7). Calculate the highest common divisor of 32 and p.
32
Let g(d) = d**2 + 13*d - 19. Let r be g(-15). What is the greatest common divisor of r and 88?
11
Suppose 20 = 4*i + 4*a, 5*i - 3*a = -2*a + 19. Suppose -i*z = -23 + 7. Calculate the highest common divisor of 28 and z.
4
Suppose 6*a = a + 30. Let h(d) = d**3. Let c be h(0). Let q = 42 + c. What is the greatest common factor of a and q?
6
Suppose 2*r + r = 9. Suppose -3 = -2*w + r. Calculate the highest common divisor of w and 3.
3
Let a(v) = -10*v - 5. Let j be -1 + -1 + (-15)/5. Let r = -11 - j. Let c be a(r). Calculate the highest common factor of c and 11.
11
Suppose -720 = 7*l - 12*l. Let y = -8 + 24. What is the greatest common factor of y and l?
16
Suppose 5*l - 72 = 4*l. Calculate the highest common factor of 9 and l.
9
Let m(p) = -p**2 - 8*p - 4. Let u be (6 - 5)/(2/(-8)). Let l be m(u). Let y = -41 - -77. Calculate the highest common factor of l and y.
12
Let z be (4 - 5) + (-1)/(-1). Suppose -3*s = -2*k - 15, 3*k - 16 = -s - z*k. Calculate the greatest common divisor of s and 1.
1
Suppose 12 = 5*p - 2*p. Suppose -d + 9 = -0*d. Let f be 0 + 2 + 17 + d. What is the highest common factor of p and f?
4
Let t = -66 - -70. What is the highest common divisor of t and 3?
1
Suppose -362 = -6*v + v + 2*d, -v = 2*d - 70. Calculate the highest common factor of v and 180.
36
Let p = -17 - -18. What is the greatest common divisor of 2 and p?
1
Suppose 198 = s + 2*s. Calculate the greatest common divisor of 44 and s.
22
Let t(k) = k**3 + 2*k**2 - 4*k - 3. Let g be t(-3). Suppose -4*y + 38 + 178 = g. What is the greatest common divisor of y and 6?
6
Suppose l = j + 8, -j = -8*l + 3*l + 56. Calculate the greatest common divisor of 96 and l.
12
Suppose -5*h - 64 = -389. Calculate the highest common divisor of 13 and h.
13
Let z = 125 + -60. Let q(b) = b - 1. Let v(o) = -2*o**2 - 8*o + 8. Let u(r) = -4*q(r) - v(r). Let m be u(-5). What is the highest common divisor of z and m?
13
Suppose 0 = 2*b - 3*b + 8. Let y = 0 - -2. Calculate the highest common divisor of y and b.
2
Let j(p) = 3*p + 3. Let v be j(6). | {
"pile_set_name": "DM Mathematics"
} |
4 (c) -2/81
c
Which is the fourth smallest value? (a) -51 (b) 0.4 (c) -19 (d) -0.3
b
Which is the fourth biggest value? (a) -64 (b) 0.05 (c) -1 (d) 2 (e) 4
c
Which is the smallest value? (a) -28064 (b) -3 (c) 2
a
Which is the second smallest value? (a) -4 (b) 6.6 (c) -24 (d) -2
a
Which is the fourth biggest value? (a) -168 (b) -0.02 (c) 1/3 (d) -3 (e) 0.1 (f) 2/21
b
Which is the third smallest value? (a) 0.1 (b) 2/41 (c) -15 (d) 3 (e) -5 (f) -12
e
Which is the fourth smallest value? (a) 1.3 (b) -1/4 (c) -42 (d) 9
d
Which is the second smallest value? (a) -0.5 (b) 3 (c) -0.074 (d) -0.87 (e) -0.3
a
Which is the fourth smallest value? (a) -0.2 (b) 2/11 (c) -1 (d) 44/5 (e) 21 (f) 0
b
Which is the fifth biggest value? (a) -0.1 (b) 5732 (c) 5 (d) 0.07 (e) -3
e
What is the fourth biggest value in 0.7, -7/11, 0.1, 57?
-7/11
Which is the sixth smallest value? (a) -6 (b) -0.117 (c) -8 (d) 5 (e) -3 (f) 1/4
d
Which is the third biggest value? (a) 3 (b) -118.61 (c) 4.3
b
What is the biggest value in -0.05, 396, 471?
471
What is the fifth biggest value in 11/2, 0.2, -4.9, -2, 26, 1/7?
-2
Which is the second smallest value? (a) -0.278 (b) 2/9 (c) -1/3 (d) -4/5
c
What is the fourth smallest value in 1/3, 4, -1/7, -1, -566/91, 1?
1/3
What is the smallest value in -1/4, 1/7, 2/7, 318, 0.3?
-1/4
Which is the third biggest value? (a) 10 (b) -0.17 (c) -9.9
c
Which is the third biggest value? (a) 0.2 (b) 4/133 (c) 1 (d) 0.88
a
What is the smallest value in 0.02, -1/2, -2, -3/5, 198?
-2
What is the third smallest value in -3/371, 1/4, -8?
1/4
Which is the second smallest value? (a) -0.11 (b) 17 (c) 1 (d) 19
c
What is the second biggest value in -6/11, 5, 59, -2?
5
What is the third biggest value in 1, 209088, -1/6?
-1/6
What is the smallest value in 0.3, -2, 1.5, 7?
-2
Which is the third smallest value? (a) 0.3 (b) 1.6 (c) 1 (d) -5/2 (e) -1 (f) -1/9
f
What is the third biggest value in -7, 3, 0.4, 5, -89, 0?
0.4
What is the third biggest value in 0.376, 2, -1.34, -2/5?
-2/5
What is the second smallest value in 2, 65/2, 0.4, -5, 1?
0.4
What is the third smallest value in -0.2, 1, -90/83, 3?
1
Which is the fourth biggest value? (a) 9 (b) 1/5 (c) -176/9 (d) 14
c
Which is the fourth biggest value? (a) -258 (b) -0.5 (c) 0.214 (d) -0.2
a
What is the third smallest value in -1/5, -24.7, 122, -3?
-1/5
Which is the second smallest value? (a) -0.5 (b) 3 (c) 2/27 (d) 0 (e) -2
a
What is the biggest value in -415, 22, -3, 2?
22
Which is the biggest value? (a) -5 (b) 1/4 (c) 1/39723
b
What is the third biggest value in -50, -5, -2, 4, -4?
-4
Which is the smallest value? (a) -4 (b) 17 (c) 213
a
What is the smallest value in -0.03, -21, 2/15, -9, -121?
-121
Which is the biggest value? (a) -3 (b) 1 (c) 1/4 (d) 0 (e) 0.1 (f) 73
f
Which is the fourth biggest value? (a) -0.061 (b) -0.5 (c) -4 (d) -0.3 (e) 18
b
Which is the second biggest value? (a) -0.08 (b) 2061 (c) 19
c
Which is the fourth biggest value? (a) -106.6 (b) 1 (c) 4/3 (d) 5
a
What is the smallest value in -12, 6, -1.5, 1, -5?
-12
Which is the fifth biggest value? (a) 99 (b) -3 (c) -7 (d) 0.2 (e) 2
c
What is the second smallest value in 0.17, -3, 2/7, -5, 2?
-3
Which is the third smallest value? (a) -9 (b) -2690 (c) 0.3
c
What is the fourth smallest value in 78943, 0.4, 6, -0.1?
78943
Which is the third biggest value? (a) -2 (b) 2199 (c) -3/5
a
What is the third smallest value in 6, -1, 2, 107, 0.5, 0?
0.5
What is the third smallest value in 1, 1/10, -2/3075, -4?
1/10
Which is the fourth smallest value? (a) 3/7 (b) 4/5 (c) 239/6 (d) 0.02
c
What is the smallest value in -0.8, 4, -0.3, 9, 0.1?
-0.8
What is the biggest value in 32, 17/8, -1/5, 1.3, -2/11?
32
What is the second biggest value in -484, -6, 0.06?
-6
Which is the second biggest value? (a) 0.1 (b) 0.4 (c) 0.3 (d) 7 (e) 21141
d
What is the fourth biggest value in 2, 1.8, -26, -4/5?
-26
What is the fourth biggest value in -7/15, -3/13, 25, -0.09?
-7/15
Which is the second biggest value? (a) 1797 (b) 9 (c) -5
b
Which is the smallest value? (a) -1/5 (b) 0.35 (c) -3/5 (d) -0.06 (e) 4
c
What is the fourth biggest value in 0, -3, 440, -0.07?
-3
What is the biggest value in -0.00495, 1, 13?
13
Which is the third smallest value? (a) 4 (b) -10 (c) -1.28 (d) -3/34
d
What is the second biggest value in 17, 5/4, 10/9, -5, 2?
2
Which is the third smallest value? (a) -1 (b) 0.5 (c) 1 (d) 16.4 (e) 1/51
b
What is the biggest value in 5, 2/11, 2097, -0.2?
2097
What is the third biggest value in 45, 5, -0.03, -4, -0.5?
-0.03
Which is the third biggest value? (a) -592 (b) -0.5 (c) 1 (d) 1/3
b
What is the third smallest value in -4, -69, 185?
185
What is the smallest value in 1/190, 5, 41?
1/190
What is the second biggest value in -3, -25, -0.2, 0.03, -0.3, -5.92?
-0.2
Which is the biggest value? (a) 24 (b) 1 (c) -19 (d) 0.5
a
Which is the second biggest value? (a) 1.8 (b) -2 (c) 3 (d) 6 (e) 0.041
c
Which is the second biggest value? (a) -3 (b) -1 (c) 1 (d) 4 (e) 4370
d
What is the biggest value in 11/26, 2/5, -0.06?
11/26
What is the biggest value in -4, 5, -1, 1/3, 2/1281?
5
Which is the second smallest value? (a) 3 (b) 28836 (c) 1
a
What is the second biggest value in -23/4, -0.3, 2/11, -10/11, -2/13?
-2/13
Which is the biggest value? (a) 5 (b) -19/21 (c) -0.03
a
What is the fifth biggest value in 4/7, 0.2, 9, 3, 5?
0.2
Which is the second biggest value? (a) -11/5 (b) -1/2 (c) 0.5 (d) 4 (e) -0.06
c
Which is the fifth biggest value? (a) -4 (b) 1 (c) -0.3 (d) 2/7 (e) 20 (f) 2/3
c
What is the smallest value in -4, 40.762, -6, 0.5, 0.2?
-6
What is the fourth biggest value in 101.06, -0.5, 4, -15?
-15
Which is the fourth biggest value? (a) -0.5 (b) 0 (c) -12318 (d) -6/11
c
What is the smallest value in 1/3, -0.4, -1, -370, 0.3, 3/5?
-370
Which is the second smallest value? (a) 2 (b) 32 (c) 18
c
What is the smallest value in -1/5, -70.71, 2, 4/9?
-70.71
What is the second smallest value in -4, -3/4, -0.5, 0.2, 0.366, 0.06?
-3/4
Which is the biggest value? (a) 4 (b) 80 (c) -149
b
What is the third biggest value in -4/7, 0.3, 2.834, 3?
0.3
Which is the second smallest value? (a) 1031 (b) -3 (c) 3
c
Which is the third smallest value? (a) 5 (b) 0.5 (c) -5/3 (d) 1 (e) 0.07
b
What is the third smallest value in -1/5, 0.1, 1/4, 33, -0.1?
0.1
What is the fifth biggest value in 18, -66, 0.5, -2/11, 0.1?
-66
What is the second smallest value in -111.9, -13, -10, -3?
-13
Which is the third biggest value? (a) 17 (b) -4.75 (c) 6
b
Which is the fourth smallest value? (a) -6 (b) -5 (c) 3 (d) 0.02016
c
Which is the third biggest value? (a) 0.43 (b) 19 (c) 4 (d) -2
a
Which is the second smallest value? (a) -2711 (b) 1/7 (c) 1/15
c
Which is the fourth biggest value? (a) 29/7 (b) -3 (c) -0.04 (d) -2
b
What is the smallest value in -46, -2, 0.5, 0.9, 105?
-46
What is the third smallest value in -6, 288, -1, 5?
5
What is the smallest value in 35/6, -7/3, 165?
-7/3
What is the second smallest value in -75, -0.3, 2/43?
-0.3
What is the third smallest value in -104, -1/3, -170.9?
-1/3
Which is the smallest value? (a) 0 (b) -9 (c) -74/5
c
Which is the second biggest value? (a) -5/103 (b) -16 (c) 1
a
What is the biggest value in -98, 9, -4?
9
What is the fifth biggest value in 17, -0.06, 1/2, 4, 5?
-0.06
What is the third biggest value in -0.003, -4, 102, 0.3, 2?
0.3
What is the second biggest value in -53, -1/6, 2, 1862?
2
Which is the third smallest value? (a) -0.5 (b) -0.27 (c) 18.8 (d) -5
b
Which is the second biggest value? (a) 27 (b) 4 (c) 581/5
a
What is the biggest value in -305, -1, -61?
-1
What is the second smallest value in 5, -0.5, 1/5, -63/10, 81?
-0.5
Which is the second biggest value? (a) -1/9 (b) -0.3 (c) 3.3 (d) 0.5 (e) 1/6
d
Which is the sixth biggest value? (a) -37.1 (b) 3/19 (c) -1 (d) 2/15 (e) -3 (f) -0.1
a
Which is the smallest value? (a) -0.4 (b) -5 (c) 1 (d) 0 (e) 139
b
Which is the fourth smallest value? (a) 7 (b) 0.05 (c) -1/5 (d) 1120
d
Which is the fourth biggest value? (a) 0.2 (b) 2/11 (c) 3/5 (d) 3/8 (e) -8.35
b
What is t | {
"pile_set_name": "DM Mathematics"
} |
6*v. Let d(n) = n + 1. What is a(g) + 5*d(g)?
g - 1
Suppose 3*w + 4*q - 19 = 0, 0*q = 2*w + 4*q - 14. Let p be 1/(2/24*3). Let c(k) = -2*k**3 + 5*k**2 - 2. Let v(h) = 2*h**3 - 4*h**2 + 2. What is p*c(u) + w*v(u)?
2*u**3 + 2
Let b(s) = 6*s**3 - 2*s**2 + 3. Let p(w) = 7*w**3 - 3*w**2 + 3. Calculate 3*b(h) - 2*p(h).
4*h**3 + 3
Let b(y) = -y**2 + y. Let q(d) = -38*d**2 + 6*d. What is -6*b(p) + q(p)?
-32*p**2
Let l(u) = u**2 + u. Let b(q) be the third derivative of q**5/15 + q**4/24 - 3*q**2. Let t = 0 + 3. Give t*l(y) - b(y).
-y**2 + 2*y
Let z(x) = -1. Let m(i) = i + 4. What is -m(u) - 3*z(u)?
-u - 1
Let r = 9/25 + 57/50. Let c(w) be the first derivative of 2*w**3 - 4*w + 0*w**2 + 4 - r*w**4. Let i(q) = 5*q**3 - 5*q**2 + 3. What is -4*c(d) - 5*i(d)?
-d**3 + d**2 + 1
Let l(d) = d - 3. Let k be l(5). Let v(f) = -f**2 - 2*f + 2. Let g(m) = -2*m**2 - 5*m + 5. Determine k*g(i) - 5*v(i).
i**2
Let z(k) = -7*k + 10. Let c(b) = 13*b - 19. Give 6*c(q) + 11*z(q).
q - 4
Let j(m) = m**2 - m - 1. Let n(w) = 11*w - 5*w - 5*w + 1. Determine -j(z) - n(z).
-z**2
Let n(k) = 6*k**3 - 16*k - 10. Let a(m) = -m**3 + 3*m + 2. What is 11*a(l) + 2*n(l)?
l**3 + l + 2
Let n(i) be the second derivative of 1/2*i**2 - 1/2*i**3 + 3*i + 0. Let p = -3 + 7. Let f(m) = m. Give p*f(w) + 2*n(w).
-2*w + 2
Let k(m) = 3*m**3 - m - 2. Let s(q) = 4*q**3 - 2*q - 3. What is 3*k(g) - 2*s(g)?
g**3 + g
Let t(l) = -5*l - 2. Let i(p) be the second derivative of -7*p**3/3 - 5*p**2/2 - p. What is 4*i(b) - 11*t(b)?
-b + 2
Let h(u) = u**2 + 5*u. Let l be h(-6). Let a(f) = 4*f + 2*f - 2 - 4*f. Let w(q) = -3 + 4*q + 4 - 5*q. Determine l*w(p) + 2*a(p).
-2*p + 2
Let k(p) = -2*p**3 - 6*p**2 + 6*p - 5. Suppose -4*w - 4 = -8. Let i(m) = -m**2 + m - 1. What is w*k(f) - 6*i(f)?
-2*f**3 + 1
Let t(q) be the second derivative of -q**4/12 + 5*q**3/6 + 3*q**2/2 - 6*q. Let l(m) = -m**2 + 6*m + 4. Give -5*l(p) + 6*t(p).
-p**2 - 2
Let f(q) = q**2 + q + 1. Let w(i) = -2*i**2 - i - 2. Let z(g) = 3*f(g) + w(g). Suppose -k + 2*k = -3. Let h(d) = d**2 + 2*d + 1. Determine k*h(o) + 4*z(o).
o**2 + 2*o + 1
Let a(i) = -i + 10. Let j(g) = 1. Let b(l) be the first derivative of l - 2. Let h(c) = -b(c) + 2*j(c). Determine -2*a(v) + 18*h(v).
2*v - 2
Let c(z) = -3*z**3 - 2*z**3 - 5 - 2*z**2 + 4*z**3. Let k(a) = 2*a + 50. Let i be k(-22). Let j(v) = -3*v**3 + 4*v**2 + 5*v**3 + 3 + 8. What is i*j(w) + 13*c(w)?
-w**3 - 2*w**2 + 1
Let y(c) = 5*c + 1. Suppose -7*g + 2*g + 25 = 0. Let i(v) = 4*v + 1. Calculate g*y(h) - 6*i(h).
h - 1
Let o(b) = -9*b - 9. Let v(g) = 18*g + 18. Let s(r) = -7*o(r) - 4*v(r). Let f(k) = -5*k - 5. Let d be 6/4 + 684/152. Give d*s(q) - 11*f(q).
q + 1
Let r(k) = 2*k - 2. Let u(h) be the second derivative of 0*h**2 + 3*h + 0 + 1/6*h**3. What is r(s) - 4*u(s)?
-2*s - 2
Let m(i) = 26*i - 43*i + 20*i - 2. Let p(d) = -3*d + 2. What is 4*m(g) + 5*p(g)?
-3*g + 2
Let s(m) = m**3 + m**2 - m. Let x(a) = 5*a**3 + 6*a**2 - 6*a. Let n be (0 - 18)*((-96)/18 - -5). Calculate n*s(k) - x(k).
k**3
Let p(h) = -h. Let r(w) = w**2 + 12*w - 10. Let i be r(-13). Let a be (i*3)/((-27)/18). Let l(o) = -o. Calculate a*p(m) + 5*l(m).
m
Let y(l) = 79*l**2 + 3*l - 3. Let j(q) = 5371*q**2 + 205*q - 205. Calculate -3*j(i) + 205*y(i).
82*i**2
Let a(l) = l**2 + 9*l - 9. Let u(d) = -4*d + 4. Let b be (6/8)/3 - 37/4. What is b*u(m) - 4*a(m)?
-4*m**2
Let v(s) = -7*s**3 + 4*s**2 - 4*s. Let f(b) = -b + 0*b**3 - 9*b**2 - 3*b**3 + 10*b**2 + 2*b**3. Determine -4*f(j) + v(j).
-3*j**3
Let p = -10 + 21. Let f(r) = -3 + 0 + 0*r - p*r. Let j be ((-34)/6)/((-1)/(-3)). Let m(q) = 4*q + 1. Determine j*m(n) - 6*f(n).
-2*n + 1
Let n(t) = 3*t**2 - 2*t - 3. Let c(k) = k - 4*k - 5 + 1 + 4*k**2. Let q(g) = -g + 2. Suppose 4*f - 22 = 2. Let s be q(f). Give s*c(z) + 5*n(z).
-z**2 + 2*z + 1
Let k(b) = 2*b + 2. Let x(m) = -m**2 - m + 3. Let n be x(-3). Let f(y) = 7*y + 6. Let t(q) = -6*q - 5. Let d(v) = n*f(v) - 4*t(v). Determine 3*d(o) - 4*k(o).
o - 2
Let q(h) = 0 - 4 + 3 + 3*h - 1. Let b(f) = -4*f + 3. Suppose 2*d = -i, -1 = -3*i - 5*d - 3. Let y be (-4)/(-6) - (-34)/(-6). What is i*b(c) + y*q(c)?
c - 2
Let t(x) = x. Let c(v) = -2*v**2 + 3*v - 1. Let o be 2*(3 - -9) + 1. Suppose 5*a + 4 = -4*b - o, 3*b + 2*a + 13 = 0. Calculate b*t(h) + c(h).
-2*h**2 + 2*h - 1
Let m(g) = -g**3 + 3*g**2 + 2*g + 1. Let f be m(3). Let b(w) = 11*w - 11. Let t(r) = 3*r - 4*r - 5*r + 6. Calculate f*t(q) + 4*b(q).
2*q - 2
Let b(k) = k**2 + k + 1. Let q(h) = h**3 + 7*h**2 + 6*h + 4. Let z = -11 + 12. Calculate z*q(v) - 4*b(v).
v**3 + 3*v**2 + 2*v
Let v(p) = -p**3 + p + 1. Let z(l) = -12*l**3 - l**2 + 11*l + 11. Give 22*v(k) - 2*z(k).
2*k**3 + 2*k**2
Let h(t) = -27*t**3 + t**2 - 5 + 2*t**2 + 26*t**3. Let j(f) = -f**2 + 1. Determine h(k) + 5*j(k).
-k**3 - 2*k**2
Let d(l) = -l + 1. Suppose -7*y = -5*y - 6. Let z(v) = -2*v + 5. Give y*d(j) - z(j).
-j - 2
Let c(m) = -m**2 - m + 6. Let w(b) = -b**2 - b + 5. Determine -5*c(h) + 4*w(h).
h**2 + h - 10
Let h(n) = -n + 1. Suppose -5*i = 3*u - 11 - 8, 0 = 2*i + 5*u. Let v(k) = -6*k + 3. Calculate i*h(p) - v(p).
p + 2
Let s(m) = -m**2 - 7*m - 4. Let z(w) be the first derivative of -2*w**3/3 - 13*w**2/2 - 7*w - 18. Give 7*s(t) - 4*z(t).
t**2 + 3*t
Let d(x) = -4*x**2 + 17. Let w(g) = -4*g - 3. Let c be 2/(-1) - (0 - -1). Let a be w(c). Let v(b) = -b**2 + 4. Give a*v(r) - 2*d(r).
-r**2 + 2
Let p(n) = n + 1. Let q(j) = -26*j + 4. Determine -5*p(c) + q(c).
-31*c - 1
Let a(r) = -r**3 + 6*r**2 - 7. Let i be a(6). Let n be 17/3 + i/(-21). Let h(s) = -5 - 4*s**2 - n*s + 6 - 1. Let o(f) = -9*f**2 - 13*f. Give 13*h(b) - 6*o(b).
2*b**2
Let p(t) = 11*t + 3. Let c(q) = -6*q - 2. Determine -7*c(z) - 4*p(z).
-2*z + 2
Suppose n = -4*n. Let q be (1 - (n - 5)) + 0. Let t(y) = -y - y**3 + y**2 - 1 - 4 + q. Let v(c) = -4*c**3 + 2*c**2 - 2*c + 2. Calculate -2*t(x) + v(x).
-2*x**3
Let q(x) = 32*x**2 + 7*x. Let m(j) = -21*j**2 - 5*j. Give 7*m(b) + 5*q(b).
13*b**2
Let s(u) be the second derivative of -u**4/6 - u**3/3 + 2*u**2 - 6*u. Let x(l) = 4 + 4 - 7. Calculate s(h) - 5*x(h).
-2*h**2 - 2*h - 1
Let o = -22 + 17. Let g(n) = 2*n**2 + 4*n + 7. Let s(c) = 2*c**2 + 3*c + 6. What is o*s(d) + 4*g(d)?
-2*d**2 + d - 2
Let n(q) = -q. Let y be n(-3). Let t(h) = -h**2 + h - 2. Let g be t(y). Let r(f) = f**2 - 2*f + 3. Let b(s) = 2*s**2 - 6*s + 8. Give g*r(m) + 3*b(m).
-2*m**2 - 2*m
Let x(q) be the third derivative of q**4/6 - 20*q**2. Let f(p) = -7*p - 1. Determine 3*f(g) + 5*x(g).
-g - 3
Let z(o) = -3*o + 8. Let a(y) = -2 + 2 + 1. Give 6*a(m) - z(m).
3*m - 2
Let u(y) = 3*y**2 - 2*y - 3. Suppose -5*w - 20 = -5*k, -5 = -k + 3*w + 9. Let p(v) = v**2 - 1. Calculate k*u(g) + 2*p(g).
-g**2 + 2*g + 1
Suppose 8 = 2*l + 2*x, 3 = -2*l - 5*x - 1. Let y(p) = -11*p - 8. Let s(w) = -477 + 237 - 4*w + 237. Determine l*s(v) - 3*y(v).
v
Let g(i) = -i. Let o(f) = -3*f - 13. Give 4*g(u) - o(u).
-u + 13
Let n(s) = -7*s + 3. Let l(t) be the third derivative of -t**4/3 + 2*t**3/3 - 7*t**2. Determine -6*l(u) + 7*n(u).
-u - 3
Let g(c) = -11*c**3 + 5*c**2 - 7*c + 9. Let h(t) = -5*t**3 + 2*t**2 - 3*t + 4. Suppose 9 = -f - 2*f. Let s be (-29)/(-4) + 1/(-4). What is f*g(b) + s*h(b)?
-2*b**3 - b**2 + 1
Let y(g) = -5*g**2 + 1 + 3 - 8*g - 8 + 0*g. Let o(v) = 11*v**2 + 17*v + 9. What is 6*o(w) + 13*y(w)?
w**2 - 2*w + 2
Let g(f) = -f**2. Let n(l) = l**2. Suppose 0 = -0*r + r - 18. Suppose 0 = 2*j - i + 9, 3*j - i + r = 2*i. Calculate j*n(t) - 2*g(t).
-t**2
Let j(o) = 64*o + 59*o - 124*o. Let d(m) = m**3 - 6*m - 2. Determine d(v) - 6*j(v).
v**3 - 2
Let n = 16 - 19. Let d(g) = -2*g + 4. Let i(s) = 3*s - 7. What is n*i(f) - 5*d(f)?
f + 1
Let m(b) = 4*b**3 - 3*b - 3. Let u(l) = -l**3 + l + 1. Let x = -7 + 10. Let p be 3 + -6 + x + 1. Calculate p*m(i) + 3*u(i).
i**3
Let x(j) = j. Let n(k) = -7*k - 2. Calculate n(v) - 3*x(v).
-10*v - 2
Let n(m) = m + 1. Let l(d) = 5*d + 8. Determine 4*l(g) - 28*n(g).
-8*g + 4
Let p(y) = 2*y + 7. Let z be (-8 - -3)*1 + (12 - 0). Let j = 3 + 2. Let b(c) = -3*c - 10. What is j*b(l) + z*p(l)?
-l - 1
Let w(a) = 1. Let b(x) = -x + 1. Let d be b(-1). Suppose -4*r + 0*r + 14 = -d*u, -3*u = 2*r - 3. Let m(q) = q**2. Calculate u*w(o) - 2*m(o).
-2*o**2 - 1
Let z(u) = 9*u**2 - 9*u - 19. Let h(m) = -4*m**2 + 4*m + 9. Calculate -13*h(v) - 6*z(v).
-2*v**2 + 2*v - 3
Suppose -3*o = -5*k + 25, 4*o = -k - 0 | {
"pile_set_name": "DM Mathematics"
} |
+ 114
What is the q'th term of 4690, 9405, 14120, 18835?
4715*q - 25
What is the h'th term of 572, 1141, 1710, 2279, 2848, 3417?
569*h + 3
What is the l'th term of -1636897, -1636896, -1636895, -1636894, -1636893, -1636892?
l - 1636898
What is the k'th term of -3778, -7582, -11386, -15190?
-3804*k + 26
What is the b'th term of -13007, -12992, -12967, -12932, -12887?
5*b**2 - 13012
What is the k'th term of 45901, 45898, 45895?
-3*k + 45904
What is the g'th term of 302484, 302483, 302482, 302481?
-g + 302485
What is the u'th term of -2885, -2635, -2385, -2135, -1885?
250*u - 3135
What is the c'th term of -414, -401, -380, -351, -314, -269, -216?
4*c**2 + c - 419
What is the f'th term of 20367, 40718, 61069, 81420, 101771?
20351*f + 16
What is the a'th term of -407, -479, -551?
-72*a - 335
What is the v'th term of -166856, -166868, -166880?
-12*v - 166844
What is the a'th term of 239671, 479344, 719021, 958702, 1198387, 1438076, 1677769?
2*a**2 + 239667*a + 2
What is the k'th term of -91, -311, -677, -1189?
-73*k**2 - k - 17
What is the k'th term of -44174, -44168, -44150, -44114, -44054, -43964, -43838, -43670?
k**3 - k - 44174
What is the a'th term of -338, -368, -398, -428, -458?
-30*a - 308
What is the m'th term of -74508, -74512, -74518, -74526, -74536, -74548, -74562?
-m**2 - m - 74506
What is the i'th term of 205, 849, 1905, 3361, 5205?
-2*i**3 + 218*i**2 + 4*i - 15
What is the n'th term of 25851, 51690, 77529, 103368?
25839*n + 12
What is the d'th term of 342, 519, 696, 873, 1050, 1227?
177*d + 165
What is the x'th term of -11983, -12113, -12329, -12631, -13019, -13493?
-43*x**2 - x - 11939
What is the h'th term of -2533366, -5066728, -7600080, -10133416, -12666730, -15200016, -17733268?
h**3 - h**2 - 2533366*h
What is the p'th term of -69, -74, -79, -84, -89, -94?
-5*p - 64
What is the j'th term of -5741, -5745, -5749, -5753, -5757?
-4*j - 5737
What is the n'th term of 518996, 518997, 518998, 518999, 519000, 519001?
n + 518995
What is the n'th term of -503, -1000, -1537, -2114?
-20*n**2 - 437*n - 46
What is the p'th term of 126, 690, 1632, 2952?
189*p**2 - 3*p - 60
What is the s'th term of 459, 1983, 4513, 8043, 12567, 18079, 24573, 32043?
-s**3 + 509*s**2 + 4*s - 53
What is the o'th term of 788, 3269, 7446, 13319, 20888?
848*o**2 - 63*o + 3
What is the l'th term of -174031, -174030, -174029?
l - 174032
What is the y'th term of -8, 47, 136, 259, 416?
17*y**2 + 4*y - 29
What is the v'th term of 1011458, 2022914, 3034370, 4045826, 5057282?
1011456*v + 2
What is the s'th term of -222, -580, -926, -1254, -1558, -1832, -2070?
s**3 - 365*s + 142
What is the s'th term of -126784, -253571, -380358, -507145?
-126787*s + 3
What is the u'th term of 220988, 441975, 662962, 883949, 1104936?
220987*u + 1
What is the r'th term of -1256, -2455, -3586, -4649?
34*r**2 - 1301*r + 11
What is the c'th term of 28153, 28256, 28359, 28462, 28565?
103*c + 28050
What is the m'th term of 356, 357, 358, 359, 360?
m + 355
What is the w'th term of -73, -68, -49, -16, 31, 92?
7*w**2 - 16*w - 64
What is the f'th term of 132, 260, 404, 570, 764, 992, 1260, 1574?
f**3 + 2*f**2 + 115*f + 14
What is the d'th term of -38987, -155951, -350895, -623825, -974747, -1403667, -1910591?
-d**3 - 38984*d**2 - 5*d + 3
What is the o'th term of -6, -78, -286, -702, -1398, -2446?
-12*o**3 + 4*o**2 + 2
What is the h'th term of -334, -330, -300, -244, -162, -54, 80?
13*h**2 - 35*h - 312
What is the v'th term of 1802, 1757, 1660, 1493, 1238, 877, 392?
-3*v**3 - 8*v**2 + 1813
What is the z'th term of 28455, 28402, 28349?
-53*z + 28508
What is the m'th term of 113860, 113852, 113856, 113878, 113924, 114000, 114112, 114266?
m**3 - 15*m + 113874
What is the k'th term of -1444, -1463, -1496, -1543, -1604, -1679, -1768?
-7*k**2 + 2*k - 1439
What is the r'th term of -2595, -5744, -8895, -12048?
-r**2 - 3146*r + 552
What is the o'th term of 386, 1506, 3368, 5978, 9342, 13466, 18356?
o**3 + 365*o**2 + 18*o + 2
What is the b'th term of 2152, 8557, 19232, 34177, 53392, 76877, 104632?
2135*b**2 + 17
What is the o'th term of -63992, -63988, -63982, -63974, -63964, -63952, -63938?
o**2 + o - 63994
What is the c'th term of -28114, -28119, -28134, -28165, -28218?
-c**3 + c**2 - c - 28113
What is the v'th term of 10143, 9987, 9829, 9669?
-v**2 - 153*v + 10297
What is the u'th term of -860, -3486, -7856, -13964, -21804, -31370, -42656, -55656?
u**3 - 878*u**2 + u + 16
What is the u'th term of -128, -549, -1692, -3917, -7584, -13053?
-60*u**3 - u**2 + 2*u - 69
What is the d'th term of 41063, 82165, 123265, 164363, 205459, 246553, 287645?
-d**2 + 41105*d - 41
What is the o'th term of 36013, 36008, 36001, 35992, 35981, 35968?
-o**2 - 2*o + 36016
What is the d'th term of -362, -1445, -3242, -5753, -8978, -12917?
-357*d**2 - 12*d + 7
What is the n'th term of 8687, 8697, 8707, 8717, 8727, 8737?
10*n + 8677
What is the g'th term of 7416, 7838, 8260, 8682?
422*g + 6994
What is the a'th term of -1721725, -1721725, -1721723, -1721719, -1721713, -1721705?
a**2 - 3*a - 1721723
What is the i'th term of 2567, 5116, 7661, 10202?
-2*i**2 + 2555*i + 14
What is the p'th term of -186, -350, -520, -696, -878?
-3*p**2 - 155*p - 28
What is the y'th term of 674, 2726, 6148, 10940, 17102, 24634?
685*y**2 - 3*y - 8
What is the m'th term of -1356474, -2712946, -4069418, -5425890, -6782362, -8138834?
-1356472*m - 2
What is the l'th term of -22313, -44624, -66935?
-22311*l - 2
What is the v'th term of 5128, 10288, 15428, 20542, 25624?
-v**3 - 4*v**2 + 5179*v - 46
What is the l'th term of 692, 1768, 3226, 5072, 7312, 9952, 12998?
l**3 + 185*l**2 + 514*l - 8
What is the f'th term of -165, -433, -811, -1299, -1897, -2605?
-55*f**2 - 103*f - 7
What is the j'th term of 168851, 337678, 506505?
168827*j + 24
What is the p'th term of 161, 452, 745, 1040, 1337, 1636, 1937?
p**2 + 288*p - 128
What is the j'th term of -1325, -1427, -1601, -1853, -2189, -2615, -3137?
-j**3 - 30*j**2 - 5*j - 1289
What is the r'th term of 236, 966, 2322, 4418, 7368, 11286, 16286?
19*r**3 + 199*r**2 + 18
What is the u'th term of 10421, 20833, 31243, 41651, 52057, 62461, 72863?
-u**2 + 10415*u + 7
What is the h'th term of -1857, -3746, -5655, -7596, -9581, -11622, -13731, -15920?
-2*h**3 + 2*h**2 - 1881*h + 24
What is the l'th term of 363507, 363508, 363509?
l + 363506
What is the v'th term of 102547, 205090, 307633, 410176, 512719, 615262?
102543*v + 4
What is the h'th term of 1581, 6398, 14433, 25692, 40181, 57906, 78873?
h**3 + 1603*h**2 + h - 24
What is the l'th term of 24330, 48656, 72980, 97302, 121622, 145940, 170256?
-l**2 + 24329*l + 2
What is the c'th term of 48160, 48164, 48172, 48184?
2*c**2 - 2*c + 48160
What is the r'th term of -13866, -27796, -41724, -55650, -69574, -83496, -97416?
r**2 - 13933*r + 66
What is the x'th term of -88, -434, -1084, -2038, -3296?
-152*x**2 + 110*x - 46
What is the i'th term of 567, 1045, 1841, 2955, 4387, 6137, 8205?
159*i**2 + i + 407
What is the j'th term of 2632, 10541, 23730, 42205, 65972, 95037?
j**3 + 2634*j**2 - 3
What is the u'th term of 72, 294, 516?
222*u - 150
What is the l'th term of 255, 494, 727, 954?
-3*l**2 + 248*l + 10
What is the g'th term of 57092, 57087, 57080, 57071?
-g**2 - 2*g + 57095
What is the j'th term of -685, -513, -341, -169, 3, 175?
172*j - 857
What is the x'th term of -725, -1904, -3079, -4250?
2*x**2 - 1185*x + 458
What is the r'th term of -1958, -1973, -1988, -2003, -2018?
-15*r - 1943
What is the j'th term of -500, -645, -790, -935, -1080, -1225?
-145*j - 355
What is the p'th term of 2200005, 2200006, 2200007, 2200008, 2200009, 2200010?
p + 2200004
What is the c'th term of 272, 577, 882, 1187, 1492, 1797?
305*c - 33
What is the h'th term of 3031, 3137, 3243, 3349, 3455?
106*h + 2925
What is the n'th term of -878, -2117, -4100, -7199, -11786, -18233?
-62*n**3 - 805*n - 11
What is the x'th term of -2362, -9413, -21158, -37597, -58730, -84557?
-2347*x**2 - 10*x - 5
What is the h'th term of -1486, -1605, -1724?
-119*h - 1367
What is the g'th term of -3307, -3742, -4177?
-435*g - 2872
What is the c'th term of 21034, 21078, 21122?
44*c + 20990
What is the a'th term of 12132, 24299, 36498, 48729?
16*a**2 + 12119*a - 3
What is the x'th term of 7091, 28288, 63631, 113126, 176779, 254596, 346583 | {
"pile_set_name": "DM Mathematics"
} |
rd smallest value? (a) -1/4 (b) 2/9 (c) 3
c
Which is the biggest value? (a) -4 (b) 2.6 (c) -1 (d) 13
d
Which is the third biggest value? (a) -18 (b) 2/5 (c) 5 (d) -0.2
d
Which is the fourth smallest value? (a) 37 (b) 2.1 (c) -2 (d) -1/2
a
What is the smallest value in -13, -2, 3, 5, 1?
-13
Which is the second biggest value? (a) -3.9 (b) 0.4 (c) -0.07
c
Which is the second smallest value? (a) 4 (b) 6 (c) -1/19 (d) -3
c
Which is the biggest value? (a) 1.8 (b) -5 (c) 2 (d) 1/5
c
Which is the smallest value? (a) -0.2 (b) 0.1 (c) -1/4 (d) -22.9
d
Which is the third biggest value? (a) -3.9 (b) 2 (c) -3
a
Which is the third biggest value? (a) -1/2 (b) 0.259 (c) 0.13
a
What is the second biggest value in -5, 4, 329?
4
What is the third biggest value in -0.02, 1/15, -0.4?
-0.4
What is the smallest value in 0.3, -23, 3?
-23
Which is the second biggest value? (a) 2 (b) -51 (c) 4/3 (d) -0.1 (e) -5
c
Which is the smallest value? (a) 6/19 (b) 1/3 (c) -2 (d) -3/5 (e) -0.3
c
Which is the third biggest value? (a) -5 (b) 3/4 (c) 41.1
a
Which is the third smallest value? (a) -1/2 (b) 0.07 (c) -0.1 (d) 1
b
What is the third smallest value in 3, -1/2, 2/5, 0.2?
2/5
Which is the second biggest value? (a) 2/9 (b) -61/6 (c) 3
a
What is the third smallest value in -5.169, 5, 2?
5
What is the second biggest value in 706, -1/6, 2/13?
2/13
Which is the fifth smallest value? (a) 3 (b) -3.1 (c) 5 (d) 2 (e) -0.6
c
What is the third biggest value in 1/3, -2/3, 80?
-2/3
What is the smallest value in 4, -0.34, 7.3?
-0.34
What is the third smallest value in 1, -1/2, 5.2, -7/2?
1
Which is the second biggest value? (a) 0.3 (b) -3 (c) 4 (d) 0.11
a
What is the third biggest value in 0.5, 2/11, 4, -2/5, 5/6?
0.5
Which is the third smallest value? (a) 3 (b) -2 (c) 10
c
Which is the second biggest value? (a) 2/11 (b) 4 (c) 19
b
What is the fourth biggest value in 2, 28, 4, -1/3?
-1/3
What is the smallest value in -5, 1/5, -6?
-6
Which is the third smallest value? (a) -3.28 (b) -3/4 (c) 3 (d) -0.5
d
Which is the third biggest value? (a) -0.3 (b) -1.55 (c) -14
c
What is the smallest value in -46, 3, 7, -2/3?
-46
What is the fourth smallest value in -1, -32, 3, -4, -3?
-1
Which is the smallest value? (a) 4/3 (b) 18 (c) -4
c
What is the second biggest value in 0.3, 2, -0.1, 2/5?
2/5
What is the fifth biggest value in -0.17, 0.2, -0.1, -2/7, 0.07?
-2/7
Which is the smallest value? (a) 4 (b) 1/32 (c) -0.95
c
Which is the third smallest value? (a) 2 (b) 3 (c) -1/2 (d) 0.03
a
What is the second smallest value in 2/17, -164, -7?
-7
What is the second smallest value in 1/6, -1/19, 2.1?
1/6
What is the second smallest value in 17, 0.08, 20?
17
Which is the third biggest value? (a) -0.3 (b) 0.4 (c) 1/3 (d) -49 (e) 5
c
What is the third biggest value in 5, -2, -1.1?
-2
What is the fourth smallest value in 13, -4, -2, 0, -5?
0
What is the fifth smallest value in 1, 21, -5, -1, 5?
21
What is the second biggest value in 1, 0.42, -14?
0.42
What is the third smallest value in 0.295, 2, -2?
2
What is the third smallest value in 4, -11, 5, 0.5?
4
What is the smallest value in -1, 2/13, 0.5, -0.08?
-1
What is the fourth biggest value in -0.3, 192, -2, -0.7?
-2
Which is the second biggest value? (a) -1 (b) 0.5 (c) 1.36
b
What is the third biggest value in 33, -2, -3/4, -0.5?
-3/4
Which is the second biggest value? (a) -0.3 (b) -13 (c) -2.5
c
Which is the second smallest value? (a) 0.2 (b) -1/54 (c) -6/11
b
Which is the second smallest value? (a) 40 (b) 3 (c) -3/5 (d) 5
b
What is the second biggest value in -17, 0.2, 4.7?
0.2
What is the second smallest value in -0.3, 0.4, 71?
0.4
What is the smallest value in -9/13, 1/6, 2/7, -4?
-4
Which is the third biggest value? (a) 75 (b) 0.4 (c) 0.1 (d) -0.3 (e) 1
b
Which is the second biggest value? (a) -2/85 (b) 1 (c) -2/5 (d) 2/7
d
Which is the third biggest value? (a) 6/7 (b) 4 (c) -40
c
What is the third smallest value in 6.3, 0.3, 0.4, -8/5?
0.4
Which is the second smallest value? (a) -1.1 (b) 0.2 (c) -2 (d) -0.066
a
Which is the second smallest value? (a) 1/3 (b) 0.07 (c) -1 (d) 0.16
b
Which is the second smallest value? (a) -41 (b) -1 (c) 88
b
What is the second smallest value in 0.0464, 1.2, -4?
0.0464
Which is the third biggest value? (a) 0.3 (b) -1 (c) -7/5
c
Which is the third biggest value? (a) 0.1 (b) -4/7 (c) 3 (d) 4
a
What is the third smallest value in 1719, 1/5, 0.4, -3, -1?
1/5
Which is the biggest value? (a) 99 (b) 0 (c) -0.4
a
Which is the fourth smallest value? (a) 3/5 (b) 19 (c) 2 (d) 4/5
b
What is the second biggest value in -1/2, 0.3, 0, 0.039?
0.039
What is the second smallest value in -1/4, -8, -4?
-4
Which is the third smallest value? (a) -80 (b) -1 (c) 1
c
Which is the second biggest value? (a) -4 (b) -7 (c) -196
b
What is the second smallest value in 0, 2/7, 1/28?
1/28
What is the smallest value in 3, 0.3, -1/148, -0.1, -2?
-2
Which is the smallest value? (a) -0.04 (b) -5 (c) 0.02 (d) -11
d
What is the biggest value in 0.001, 0, -2/7?
0.001
What is the third biggest value in -1/4, -3/5, -0.2?
-3/5
What is the third biggest value in -4, 1/4, -1/5, 2?
-1/5
Which is the fourth smallest value? (a) 18/335 (b) 3 (c) 5 (d) 0 (e) 4
e
What is the fourth biggest value in -19, 1/3, 2, 3?
-19
Which is the smallest value? (a) -2/9 (b) 0.2 (c) -2 (d) -2/111
c
What is the second biggest value in 1/85, 1, 3, 0?
1
Which is the second smallest value? (a) -14 (b) -10 (c) -0.1
b
What is the second biggest value in -0.04, 4, 6?
4
What is the biggest value in 4, -1169.2, 1?
4
What is the second biggest value in -3, 5, -28?
-3
What is the fifth smallest value in 0.3, -1/4, -3, 146, 5?
146
What is the fourth biggest value in 2/21, -0.2, -4/3, 1/4, -6?
-4/3
Which is the third smallest value? (a) 99/7 (b) 5 (c) 3 (d) 0.4
b
What is the fourth smallest value in 13/6, 8, -0.3, 2, -2/37?
13/6
What is the fourth smallest value in 2/113, -5/4, -0.5, 2/11?
2/11
What is the fourth smallest value in 0.4, 5, 3/2, -4?
5
What is the second biggest value in 73, 1, -0.4?
1
What is the third biggest value in 2, 1, -4/9, -2, -0.3?
-0.3
Which is the second smallest value? (a) -5 (b) -2/3 (c) -4/7 (d) 32/7
b
Which is the third smallest value? (a) 3/2 (b) 0 (c) 2/7
a
What is the smallest value in -0.3, -2026, -0.4?
-2026
What is the third biggest value in 5, -1/132, -2?
-2
What is the second smallest value in 10, 4, 0.1?
4
What is the biggest value in 0.1, -0.1, -318, 13?
13
What is the third biggest value in -93, 3, -3, -3/4?
-3
Which is the third biggest value? (a) 1/10 (b) 0 (c) -3/2 (d) -4
c
Which is the fourth biggest value? (a) -5 (b) -1/69 (c) 0 (d) 1/8 (e) -2/13
e
Which is the third biggest value? (a) 0 (b) -1 (c) -291 (d) -5
d
Which is the third smallest value? (a) -0.01 (b) -5 (c) -2/5 (d) 2.1 (e) 0
a
What is the biggest value in 7/4, -11, 1, -1?
7/4
Which is the smallest value? (a) 2 (b) 12/11 (c) 0
c
Which is the biggest value? (a) 0.5 (b) 1/9 (c) -5 (d) 0
a
Which is the biggest value? (a) -15 (b) -2 (c) -0.4 (d) 3/4 (e) -4
d
Which is the smallest value? (a) -2 (b) -142 (c) -0.1 (d) -3 (e) -1
b
Which is the biggest value? (a) -1/8 (b) 1 (c) 2/3 (d) 24
d
Which is the second biggest value? (a) 1 (b) -0.12 (c) 0.5 (d) 2/5 (e) 23
a
Which is the second smallest value? (a) 11 (b) -0.3 (c) -0.5 (d) 4
b
Which is the biggest value? (a) -2/7 (b) -3 (c) -0.13
c
What is the biggest value in -2/9, 4/9, -5, 134?
134
Which is the third smallest value? (a) -1/11 (b) -2/5 (c) 1/4 (d) 0.5
c
Which is the second biggest value? (a) -2/15 (b) 4 (c) 1/2
c
Which is the biggest value? (a) 3 (b) 5 (c) 0.5 (d) 0.01
b
Which is the second smallest value? (a) -3/10 (b) 1/7 (c) -1 (d) 3/4
a
What is the second biggest value in -0.073, -2/7, 0.05?
-0.073
What is the second biggest value in -2, 1/6, -1?
-1
Which is the smallest value? (a) -4.7 (b) -4/3 (c) 152
a
Which is the second smallest value? (a) 1 (b) 4 (c) 5 (d) 22
b
What is the third smallest value in 1/14, -2, 0?
1/14
What is the third smallest value in 1, -0.4, -527/3?
1
Which is the fourth sma | {
"pile_set_name": "DM Mathematics"
} |
-3/25432
Divide -201066 by 2162.
-93
107113 divided by -3
-107113/3
-3645078 divided by 1822539
-2
Calculate 14 divided by -545.
-14/545
27962 divided by -2
-13981
765 divided by 113
765/113
Calculate -65438 divided by -6.
32719/3
-924399 divided by -44019
21
Calculate -83058 divided by 127.
-654
Divide -453456 by 72.
-6298
Calculate 279 divided by 13.
279/13
-86008 divided by -1
86008
Calculate -234252 divided by -1.
234252
What is 84680 divided by -4?
-21170
18843 divided by -165
-571/5
-268752 divided by -264
1018
Calculate -451290 divided by -5.
90258
Calculate -429903 divided by 9.
-47767
Divide 54288 by -31.
-54288/31
What is 525846 divided by 262923?
2
Calculate 1127184 divided by -184.
-6126
Calculate -24505 divided by -29.
845
Divide 13 by 69374.
13/69374
Calculate 42735 divided by -165.
-259
Calculate 96777 divided by -32259.
-3
Calculate 288 divided by 1428.
24/119
12084 divided by -38
-318
What is -5962413 divided by -3?
1987471
Divide -15792 by 47.
-336
Calculate 2202756 divided by 734252.
3
-121364 divided by 4
-30341
Calculate 0 divided by -894602.
0
Divide -286872 by -35859.
8
What is 29680 divided by -80?
-371
Divide 148538 by 5122.
29
Divide -428120 by -53515.
8
Calculate 427674 divided by 13.
32898
Calculate -4 divided by 62414.
-2/31207
Calculate -180069 divided by -3.
60023
Divide -129960 by 1805.
-72
Calculate -180456 divided by -4.
45114
What is -901170 divided by -47430?
19
What is -10168 divided by -8?
1271
Calculate -827916 divided by -206979.
4
2 divided by -172280
-1/86140
What is 2355 divided by -15?
-157
3835560 divided by -767112
-5
Divide 2618 by 163.
2618/163
Divide 31874 by 1.
31874
What is -11473 divided by -7?
1639
Calculate 4 divided by 92891.
4/92891
What is -1128867 divided by -3?
376289
Divide -277392 by 4.
-69348
22 divided by 1498
11/749
Divide 108 by 372.
9/31
-2276435 divided by 455287
-5
Calculate -6590595 divided by -3245.
2031
What is -3270606 divided by -4?
1635303/2
Divide 5 by 1113615.
1/222723
What is 56028 divided by -644?
-87
Divide 18 by -652.
-9/326
-133020 divided by 60
-2217
Divide 8016996 by -2004249.
-4
Calculate -10612 divided by -28.
379
What is -75 divided by -1699?
75/1699
Divide 1929210 by 64307.
30
-3 divided by 150006
-1/50002
What is -32148 divided by -3?
10716
-1785480 divided by -14879
120
What is -713080 divided by -178270?
4
0 divided by 6172
0
Divide 19536 by -148.
-132
What is -24856 divided by 12428?
-2
Calculate 24 divided by -14724.
-2/1227
What is -140 divided by 3615?
-28/723
Divide 7 by -126190.
-7/126190
Divide -23321 by 1.
-23321
12048989 divided by 1
12048989
What is -51718 divided by 3?
-51718/3
What is 274873 divided by -1?
-274873
Calculate -880635 divided by -8387.
105
-167960 divided by 1105
-152
557100 divided by 3
185700
-109216 divided by -3
109216/3
What is 190306 divided by -3?
-190306/3
Calculate -830589 divided by 4.
-830589/4
-5612292 divided by -1403073
4
Divide 4 by 279608.
1/69902
Divide -12239 by 1.
-12239
Calculate -663432 divided by -8.
82929
Divide 82938 by -21.
-27646/7
What is 423255 divided by 84651?
5
Calculate -5 divided by -5643.
5/5643
Calculate 163540 divided by 221.
740
What is 4 divided by -33096?
-1/8274
Divide 0 by 53269.
0
Calculate 66576 divided by -22192.
-3
Divide -2389674 by -42.
56897
Calculate -35972 divided by 17986.
-2
Calculate 172482 divided by -534.
-323
Divide -277314 by 92438.
-3
Calculate -723 divided by -397.
723/397
-715184 divided by -178796
4
Divide -2814 by -7.
402
Calculate 58203 divided by 19401.
3
6 divided by 47831
6/47831
Calculate -12 divided by 585.
-4/195
Calculate -1350 divided by -8.
675/4
What is -348 divided by -127?
348/127
Calculate 80 divided by 29325.
16/5865
Calculate -5 divided by 72924.
-5/72924
Divide -16 by 19755.
-16/19755
Calculate -8691805 divided by 5.
-1738361
43695 divided by 5
8739
30514 divided by 3
30514/3
-1111787 divided by 2
-1111787/2
Calculate 171171 divided by 13.
13167
Divide -1198626 by 762.
-1573
Calculate 356 divided by 2621.
356/2621
1260156 divided by -6
-210026
Divide 733341 by -104763.
-7
Divide -73661 by 5.
-73661/5
Calculate 101629 divided by -9239.
-11
4 divided by -190881
-4/190881
5032328 divided by 179726
28
Divide 1 by -11151.
-1/11151
Divide -55463 by 15.
-55463/15
What is -274840 divided by 5?
-54968
Divide -12 by 168.
-1/14
Calculate 458 divided by 29.
458/29
What is -49053 divided by 3?
-16351
Calculate 1971 divided by 527.
1971/527
Divide -1339416 by 5724.
-234
74896 divided by 2
37448
Calculate 3 divided by 33396.
1/11132
Divide 154546 by 19.
8134
What is 336 divided by -1179?
-112/393
Divide 5 by 144310.
1/28862
What is -48692 divided by -24346?
2
Calculate -473047 divided by -1.
473047
Calculate -106812 divided by 5934.
-18
Calculate 43167 divided by 4.
43167/4
What is -61794 divided by 20598?
-3
Divide -20176 by 20176.
-1
What is 1453482 divided by -80749?
-18
Calculate 9988 divided by -22.
-454
-935090 divided by 5
-187018
-3 divided by -4374
1/1458
What is 1250597 divided by 211?
5927
1781976 divided by 3
593992
What is -36335 divided by 43?
-845
Calculate -103360 divided by -170.
608
Divide -1474580 by 5.
-294916
What is -1000 divided by 1438?
-500/719
1048560 divided by 60
17476
Divide 5 by 44552.
5/44552
-3 divided by 158450
-3/158450
Divide 707168 by 101024.
7
Calculate -2 divided by -172711.
2/172711
What is -4732 divided by 5?
-4732/5
Divide 2 by -193975.
-2/193975
What is 17846 divided by 2?
8923
What is 2498196 divided by 6?
416366
Calculate 5 divided by 8889.
5/8889
What is -181596 divided by 4?
-45399
-26571 divided by 3
-8857
Divide -84986 by -2.
42493
Calculate -163200 divided by 20400.
-8
5428 divided by -1268
-1357/317
Divide 4 by -2631.
-4/2631
Calculate -419552 divided by 56.
-7492
Calculate 0 divided by 5812.
0
Calculate 3323524 divided by 244.
13621
Divide -4 by -104494.
2/52247
Divide -235139 by 1.
-235139
What is 1 divided by 437330?
1/437330
-165067 divided by -3
165067/3
-1 divided by -9713
1/9713
What is -34040 divided by 460?
-74
Divide -1016784 by 138.
-7368
5027 divided by -5
-5027/5
61603 divided by -4
-61603/4
Divide 39272 by 79.
39272/79
Calculate 2086 divided by -14.
-149
What is 12388 divided by -76?
-163
Divide 1385 by 54.
1385/54
Divide 0 by -13743.
0
Calculate 48794 divided by -5.
-48794/5
What is 618362 divided by -1?
-618362
Calculate -1184 divided by 686.
-592/343
19505 divided by -3
-19505/3
Calculate 439 divided by 995.
439/995
-11515 divided by 329
-35
Divide 15068 by -7534.
-2
Divide -494434 by 2.
-247217
Divide 4286595 by 857319.
5
What is -3213069 divided by -2?
3213069/2
Divide -340844 by -94.
3626
Calculate 11523 divided by 69.
167
Divide 3 by -36795.
-1/12265
What is -51603 divided by 1?
-51603
Calculate -34650 divided by 385.
-90
Divide 29132 by -7283.
-4
-390 divided by 3841
-390/3841
Calculate -3349 divided by 225.
-3349/225
-59905 divided by -5
11981
What is 13504 divided by -844?
-16
Divide 85102 by 5006.
17
-70 divided by 431
-70/431
What is 5655 divided by -9?
-1885/3
-9443 divided by -19
497
Calculate 31 divided by -1845.
-31/1845
Divide -3 by 12075.
-1/4025
Divide -12 by -222708.
1/18559
-83646 divided by 18
-4647
Calculate -656 divided by 6.
-328/3
Divide -59944 by -14986.
4
Calculate -175920 divided by 8796.
-20
Calculate 2689 divided by -27.
-2689/27
What is 32760 divided by -1560?
-21
What is -55936 divided by 6992?
-8
What is -50912 divided by -74?
688
Calculate 10455 divided by 51.
205
What is 1419432 divided by -12?
-118286
What is -5 divided by 6369?
-5/6369
Calculate 51214 divided by -58.
-883
14 divided by -4915
-14/4915
628182 divided by -209394
-3
Calculate -18402 divided by 4.
-9201/2
What is -19432 divided by 694?
-28
Divide -4 by 47036.
-1/11759
Divide -1713985 by 2.
-1713985/2
Divide 8619 by -663.
-13
What is -66462 divided by -3?
22154
What is 17018 divided by -134?
-127
Calculate 55127 divided by 2.
55127/2
Calculate 105 divided by -1374.
-35/458
-2 divided by 25906
-1/12953
9 divided by 128111
9/128111
Calculate -5 divided by 23279.
-5/23279
Calculate 268329 divided by 2.
268329/2
-6 divided by 519114
-1/86519
Calculate 26 divided by 3130.
13/1565
Calculate 30100 divided by -6020.
-5
Divide -1 by 21113.
-1/21113
Divide -2190 by -2.
1095
Calculate -747 divided by 981.
-83/1 | {
"pile_set_name": "DM Mathematics"
} |
4 and 1.
1764
Calculate the common denominator of -71/117 and -5/754.
6786
Calculate the smallest common multiple of 1749 and 2067.
22737
What is the smallest common multiple of 10 and 76?
380
What is the common denominator of -26/3573 and 36/397?
3573
What is the smallest common multiple of 215 and 344?
1720
Calculate the lowest common multiple of 1 and 91.
91
Calculate the common denominator of -141/7000 and -11/24.
21000
Find the common denominator of 83/376 and 3/80.
3760
What is the smallest common multiple of 2324 and 18?
20916
What is the lowest common multiple of 4 and 1638?
3276
Calculate the least common multiple of 1139 and 30.
34170
What is the common denominator of -47/192 and -101/496?
5952
Calculate the common denominator of 89/10 and -97/10.
10
What is the common denominator of -12/185 and 30/407?
2035
What is the common denominator of 103/860 and -30/559?
11180
What is the common denominator of 82/105 and -68/63?
315
Calculate the common denominator of 103/360 and -41/324.
3240
Find the common denominator of -137/66 and -59/30.
330
Calculate the lowest common multiple of 4338 and 144.
34704
What is the lowest common multiple of 692 and 2?
692
What is the common denominator of -11/240 and -17/60?
240
Calculate the lowest common multiple of 157 and 6.
942
What is the lowest common multiple of 160 and 16?
160
What is the common denominator of -49/40 and 61/3?
120
Find the common denominator of -191/4020 and 167/120.
8040
What is the common denominator of 37/24115 and 37/3?
72345
Find the common denominator of -33/862 and 23/20.
8620
What is the lowest common multiple of 68 and 12?
204
What is the common denominator of 3/2 and 73/7640?
7640
Calculate the common denominator of 17/132 and -16/561.
2244
Calculate the smallest common multiple of 336 and 108.
3024
Calculate the common denominator of 127/60 and 92/15.
60
Calculate the least common multiple of 454 and 16.
3632
Calculate the smallest common multiple of 196 and 6.
588
Calculate the least common multiple of 429 and 1547.
51051
What is the lowest common multiple of 64 and 128?
128
Calculate the least common multiple of 117 and 9.
117
Find the common denominator of 62/363 and 56/297.
3267
Calculate the lowest common multiple of 18 and 88.
792
What is the smallest common multiple of 2 and 1652?
1652
Calculate the smallest common multiple of 1092 and 26.
1092
Calculate the least common multiple of 21 and 14.
42
Calculate the common denominator of 30/53 and 35/318.
318
Calculate the common denominator of -74/195 and -2/13.
195
What is the smallest common multiple of 11088 and 4?
11088
Calculate the lowest common multiple of 129 and 21.
903
Calculate the common denominator of 4/611 and 35/52.
2444
Calculate the common denominator of 101/560 and 39/16.
560
Find the common denominator of 71/238 and -103/6.
714
Calculate the smallest common multiple of 10 and 29.
290
What is the smallest common multiple of 582 and 16?
4656
What is the lowest common multiple of 6 and 167?
1002
What is the least common multiple of 392 and 588?
1176
Calculate the common denominator of -91/600 and -7/155.
18600
Calculate the smallest common multiple of 9 and 6297.
18891
Calculate the lowest common multiple of 187 and 33.
561
What is the lowest common multiple of 1120 and 208?
14560
Calculate the least common multiple of 12 and 3476.
10428
What is the common denominator of -119/108 and 49/312?
2808
Calculate the common denominator of 46/11 and 37/339.
3729
Calculate the lowest common multiple of 5525 and 182.
77350
Calculate the common denominator of -67/168 and -157/420.
840
Calculate the smallest common multiple of 3648 and 20.
18240
Calculate the smallest common multiple of 938 and 67.
938
What is the common denominator of 41/8811 and 57/1958?
17622
What is the smallest common multiple of 568 and 11?
6248
What is the common denominator of 103/108 and 11/96?
864
What is the least common multiple of 39 and 2028?
2028
What is the smallest common multiple of 2955 and 140?
82740
Find the common denominator of -5/1906 and 47/8.
7624
Calculate the least common multiple of 22 and 5362.
58982
Find the common denominator of -125/216 and -169/84.
1512
Calculate the lowest common multiple of 204 and 850.
5100
Calculate the smallest common multiple of 4302 and 33.
47322
Find the common denominator of 27/1118 and -65/16.
8944
What is the smallest common multiple of 322 and 506?
3542
What is the smallest common multiple of 28 and 340?
2380
What is the common denominator of 41/20 and -107/6?
60
What is the common denominator of -23/286 and 19/130?
1430
What is the common denominator of 7/1576 and -24/2167?
17336
Calculate the common denominator of 91/16 and 47/112.
112
Calculate the lowest common multiple of 3702 and 20.
37020
What is the smallest common multiple of 5 and 128?
640
Calculate the common denominator of -37/66 and -23/62.
2046
Find the common denominator of 44/5 and 39/4714.
23570
Calculate the common denominator of 25/23 and 101/6.
138
What is the common denominator of -69/665 and -10/931?
4655
What is the least common multiple of 320 and 8?
320
Calculate the smallest common multiple of 777 and 1110.
7770
Find the common denominator of -169/84 and -73/44.
924
What is the least common multiple of 18 and 14?
126
What is the smallest common multiple of 21 and 33?
231
Find the common denominator of 68/69 and 91/810.
18630
Calculate the common denominator of -23/964 and -49/36.
8676
Find the common denominator of -70/33 and -61/135.
1485
What is the smallest common multiple of 612 and 2176?
19584
Calculate the least common multiple of 30 and 2958.
14790
Calculate the common denominator of -1/9 and 95/24.
72
What is the lowest common multiple of 720 and 90?
720
Calculate the smallest common multiple of 18 and 6360.
19080
What is the lowest common multiple of 21 and 82?
1722
Calculate the lowest common multiple of 164 and 56.
2296
What is the lowest common multiple of 18 and 27?
54
Calculate the lowest common multiple of 7 and 14.
14
Calculate the smallest common multiple of 2 and 928.
928
Calculate the lowest common multiple of 10 and 46.
230
What is the smallest common multiple of 345 and 114?
13110
Calculate the lowest common multiple of 24 and 460.
2760
What is the common denominator of 53/6 and 157/41916?
41916
What is the common denominator of 71/99 and 2/121?
1089
What is the common denominator of 169/30 and 113/702?
3510
What is the least common multiple of 4 and 358?
716
What is the common denominator of 57/55 and 51/40?
440
Find the common denominator of 63/65 and -97/624.
3120
Calculate the lowest common multiple of 180 and 460.
4140
Calculate the smallest common multiple of 137 and 4.
548
Calculate the common denominator of -61/60 and 7/6.
60
What is the lowest common multiple of 920 and 1840?
1840
What is the smallest common multiple of 9 and 162?
162
Calculate the common denominator of -47/918 and -53/255.
4590
Calculate the least common multiple of 16 and 132.
528
What is the least common multiple of 18 and 168?
504
Calculate the common denominator of -7/180 and 61/180.
180
Find the common denominator of 11/230 and 11/20.
460
Find the common denominator of -23/113 and -32/7571.
7571
What is the common denominator of -57/49 and -39/56?
392
Calculate the least common multiple of 495 and 1210.
10890
Find the common denominator of -13/280 and -33/80.
560
Find the common denominator of -29/22 and 99/50.
550
Calculate the common denominator of 4/39 and -5/39.
39
Calculate the common denominator of 55/1438 and -91/22.
15818
What is the common denominator of 31/2493 and -67/554?
4986
Calculate the common denominator of -65/171 and -1/9.
171
What is the common denominator of 83/396 and 111/220?
1980
Find the common denominator of 81/88 and -153/17710.
70840
Find the common denominator of -39/1174 and -13/3.
3522
Find the common denominator of -19/890 and -65/1958.
9790
What is the lowest common multiple of 990 and 90?
990
Calculate the lowest common multiple of 144 and 162.
1296
What is the lowest common multiple of 472 and 18?
4248
What is the common denominator of -193/7050 and -8/4935?
49350
Calculate the smallest common multiple of 90 and 10.
90
Find the common denominator of -3/10 and 25/2806.
| {
"pile_set_name": "DM Mathematics"
} |
= -86, -4*z + 11 = 3*j. Solve 0 = c - 4*b + 29, c + 13 = z*b - 4 for c.
-5
Let h(o) = 2. Let p(i) = 6*i - 38. Let t(u) = -h(u) - p(u). Let d be t(-18). Let j = d + -140. Solve -2*f + 5*m + 4 - 15 = 0, 5 = j*f - m for f.
2
Suppose 45*k = 25 + 55 + 10. Solve -k*l = -8, -5*j - 36 = -j - 5*l for j.
-4
Suppose -110*y = -107*y - 3*u - 15, 4*y = -4*u + 44. Solve 0 = -j - 5*z + 4, -2*j + 3*z + y = 4*z for j.
4
Let o = 33 - 29. Suppose 2*a - t + 162 = -o*t, -4*t + 81 = -a. Let p = a + 93. Solve -4*m + 5 + 1 = -r, -m - 5*r + p = 0 for m.
2
Let d(i) = -10*i**2 + 28*i - 3. Let v be d(3). Let n be v/(-45) + (-4)/20. Solve 2*p + 2*u - 2 = n, -3*p - 5*u + 4 + 5 = 0 for p.
-2
Let m = 7 - 1. Suppose 5*i - 205 = 45*x - 40*x, -4*i - 5*x + 119 = 0. Suppose -50*l + 28 = -i*l. Solve -y + m = -o - l, -o - 17 = -4*y for o.
-5
Suppose 18 = -j - 4*l, 5*l = -3*j + 6 - 25. Solve 9 = -j*f + 3*i, -81*i + 79*i + 6 = -4*f for f.
0
Suppose 3*d + 2*c - 7 = 4, c - 1 = 0. Let k = 7 + -7. Solve 3*x = d*w - k*w + 12, -3*x + 10 = -5*w for w.
1
Let b(p) = p**3 + 22*p**2 + 38*p - 36. Let j be b(-20). Let w(a) = -3*a + 8*a - 2 + 25. Let u be w(0). Solve -4*k + 0*y + y = u, 7 = k + j*y for k.
-5
Let a = 6344 - 6340. Suppose 4*p - t - t - 10 = 0, 0 = -4*p + 4*t + 4. Suppose -p = -3*k + 5*g + 18, -5*g - 2 = 2*k. Solve -a*r = -k, 6*b - 2*b = 4*r - 4 for b.
0
Let y be (-3)/(-9)*((-7 - -527) + -1). Let z = y + -166. Solve -p = -x, z*x - 4 = 2*x + 4*p for x.
4
Suppose -13*l - 842 = -946. Let b = 42 + -20. Solve -4*z = -l*z + a - b, -14 = 4*z + 3*a for z.
-5
Let n = -49 + 56. Suppose 12 = -n*x + 5*x. Let i be ((-2)/(-3) + 112/(-42))*x. Solve -3*j = -t + i, 4*j + 0*t + 23 = -t for j.
-5
Let k be -3 + (-4 - -8) + 3. Suppose 0*s - 5 = 5*f + 5*s, -f - k = 4*s. Let c = 426 + -424. Solve -c*g = -5*p, p + 3*p = f for g.
0
Suppose -69 = -2*i - 3*a - 198, -208 = 4*i - 4*a. Let f be 108/33 - i/(-209). Solve -f*l + v + 29 = -4*v, 4*l - 4*v - 28 = 0 for l.
3
Let y be (0 - -3)*(-20444)/114. Let s = y + 542. Solve s*u - 5*r - 11 - 2 = 0, 0 = 3*u - 2*r - 1 for u.
-3
Let o be -5*(-6)/10 + -3. Suppose 0 = -6*i + 20 - 8. Let w be (0/i - -13)/((-8)/(-8)). Solve -2*d - 2 = -2*b, -5*d = 3*b - o*b + w for d.
-2
Suppose 4*t = 4*s, -139*s = -134*s - t - 8. Solve -3*o = -3*w, 2*o - 1 = s*w + w for o.
-1
Suppose -18 = 4*a - 6, 31 = 4*w - 5*a. Suppose 2*k = -2*u + 48, 69 = 2*k + u - 6*u. Suppose -k = -d - 26. Solve 0 = j + w*n - 8 + 1, -n + d = 0 for j.
3
Suppose -15 = -5*p - 0. Suppose 41 - 182 = p*k + 3*n, -245 = 5*k + 3*n. Let g = 52 + k. Solve g = 2*s - 2*l + 10, 2*s + l + 10 = -3*l for s.
-5
Let i(p) = p**3 - p**2 - 9*p + 1. Let j be i(-2). Suppose -4*v + 28 = 3*w, -1 = -v - w + j. Solve 4*q = 3*d - 28, 12 = -d + v*d for q.
-4
Let j be ((-1056)/(-80))/(3/10). Let c be 12 + (-407)/j - (-1)/4. Solve o - 2 = 4*z - 7, 5*z + 15 = -c*o for o.
-5
Let q be (-2700)/810*12/(-10). Suppose 7*z = 10*z - 9. Solve -y - 8 + z = 2*w, 5*y - q*w + 25 = 0 for y.
-5
Suppose -21 = -4*p + o, 4*o = -2*p + 5*o + 11. Suppose -3250*t - 1400 = -3306*t. Solve -5*q = 2*k + t, 3*q + p*k + 27 = -7 for q.
-3
Suppose -61 - 7 = -12*l - 32. Solve 5*b + 4*s + 37 = 0, -4*s = -l*b + 404 - 407 for b.
-5
Let i be (-6)/9 - -1 - (-5540)/30. Let h = 185 - i. Suppose -2*c + g - 1 = c, 3*c = 4*g - 4. Solve 2*k - w = c, -3*k = -5*w - h*w + 7 for k.
1
Suppose -23*d = -d - 176. Suppose -5*a + 76 = -4*i, 9*i + d = 7*i. Solve 3*y = 2*k - 9, 2*k - k = -4*y - a for k.
0
Suppose -48*d + 2987 - 2843 = 0. Solve d*q = -2*v - 6, 7*q + 6 = -3*v + 4*q for v.
0
Let d = 14 - -4. Let v = d - 14. Solve -4 = j, 0 = -v*o - o + 4*j + 21 for o.
1
Let o = -1 + 5. Suppose -2*f = 4*p - 4, -p - 2 = -2*f - 3. Suppose 800*h - 780*h = 80. Solve 14 = -2*c - o*i - f, 5*c + 29 = -h*i for c.
-5
Suppose 48 = -14*z + 16*z. Let i = 29 - z. Suppose 0 = i*b + g - 4 - 5, -3 = 5*b - 2*g. Solve -w - a = b, -5*w + 2*a + a = 5 for w.
-1
Let p = -97 - -9. Let r = p - -90. Solve -3*z + 5*y - 25 = 0, r*y = 2*z + 11 - 1 for z.
0
Suppose 2*q - 2*r - 2 = 0, -8*q + r + 4 = -6*q. Solve -2*z = 5*m + 21 - 3, z + 11 = -q*m for m.
-4
Suppose 2*o + 62 = -8*v + 9*v, -5*o + 370 = 5*v. Solve -69*x = -v*x - 3*t, 2 = 2*t for x.
-3
Let b be (-224)/(-896) + 30/8. Solve -2*d = -b*g - 14, 5*g - 6 + 29 = -3*d for d.
-1
Let t(r) = -r**3 + 21*r**2 + 18*r - 357. Let q be t(21). Solve 3*v - 4*f = -8, 4*v + 5*f + 11 - q = 0 for v.
0
Let y(v) = -27*v + 379. Let k(o) = -82*o + 1137. Let f(h) = -2*k(h) + 7*y(h). Let q be f(15). Solve -5*n = 3*m - 9, 0*n - 9 = -q*n - 3*m for n.
0
Let y be 19 + -6 + (-473)/43. Solve 5*z = -27*t + 31*t - 16, -y*z = 0 for t.
4
Let u be (610/50 - 8) + 4/5. Solve -1 + 0 = -u*q - 3*f, -2*q - 5*f = -8 for q.
-1
Let q = 8127 - 8122. Let c(k) = 8*k - 6. Let y be c(1). Solve -y*x + 2*t - 7*t - 19 = 0, t = -q for x.
3
Suppose 2*x = -2*x + w + 655, w = 5*x - 819. Let n = -159 + x. Solve -p - 3*g = 12 + n, -5*g - 15 = -5*p for p.
-2
Suppose 7*q - 2*q + 2*j - 14 = 0, 2*j = 4*q - 22. Suppose 144*a - 92 + 92 = 0. Solve -b = -q*o - 5 - a, -3*o = -b + 4 for o.
-1
Let j(p) = -2*p**2 - 106*p + 4. Let v be j(-53). Solve a = -4*w, -w + 2*w + v*a = 0 for w.
0
Suppose -47*r = -45*r - 2. Let g be (-17 + 17)/(r*-1). Suppose g = -5*d + 24 - 4. Solve a - 3*a = -d*t, -a - 2*t = -4 for a.
2
Let q(f) = -f**3 - 8*f**2 + 10*f + 125. Let y be q(-7). Solve -13 = -3*t + 8*d - y*d, 5 = -5*t - 2*d for t.
1
Let t be (117/(-78))/(-3*2/20) + 33. Solve 3*q - a = 1, -3*q + 5*a = 21 - t for q.
-1
Let x(k) = k**3 - 3*k**2 - k + 3. Let w be x(3). Let a = -33778 + 33781. Solve -h - 3*v + 4*v - 5 = w, 4*h = -a*v - 20 for h.
-5
Let n be 10 - (-1)/(2 - 3). Suppose 75*b + 14 = 406 + 58. Suppose -n - 15 = -b*l. Solve a - t + 0 = 7, -2*t = l for a.
5
Let h = 16008 - 16003. Solve a + 36 = -h*w, -5*w = 8*a - 6*a + 37 for w.
-7
Let p(i) = -i**3 - 28*i**2 - 57*i - 38. Let m be p(-26). Let b = m - 87. Solve 4*w = 4*d - 8, -d + b*d = -w + 18 for d.
4
Let k = -485 - -514. Let z = -26 + k. Let x = 2 - 0. Solve -4*l = x*s - 30, 0*s - 35 = -4*l - z*s for l.
5
Suppose 2987*a + x = 2991*a - 24, 20 = -5*a - 5*x. Let f(h) = -h**2 - h + 5. Let w be f(0). Solve -5*m = a*u + 17 - 6, -m = w*u - 2 for u.
1
Let s(i) = -2*i + 2. Let l be s(-2). Let x(m) = m**3 + 9*m**2 + 120*m + 1566. Let t be x(-11). Solve -p = -t*r, 0 = r + r + p - l for r.
1
Let d = -12 - -17. Suppose -d*g = 3 + 12. Let l be ((-462)/110)/(g/10). Solve -p + 5*b = -0*p - l, -2*b - 1 = -5*p for p.
-1
Let p(s) be the second derivative of -s**3 + 135*s**2/2 + 118*s + 1. Let i be p(22). Solve -i*l - 10 = -5*h + 24, -2*l - 1 = h for h.
5
Let i(o) = -230 + 23 + 15 - 55 + 10*o. Let s be i(25). Solve -m - 2*b = -2*m + 4, 0 = m - b - s for m.
2
Let w = 0 + 2. Suppose 14*i + 225 = 281. Solve -k + i = 3*k - s, -w*s + 18 = 5*k for k.
2
Suppose -6*r - 125 - 79 = 0. Let b = r + 37. Suppose o = -4*o + 20. Solve b*k - o*g = -2*g - 5, 2*g + 10 = 0 for k.
-5
Let g be (10/4)/(22/132). Let t be (g/5 + -2)*12. Let c be -2*4/t - (-44)/3. Solve 0 = -2*y - 2*n + 2, 0 = -y + 6*n - 2*n - c for y.
-2
Let h = -358 + 355. Let u be (-22)/(-66)*(0 - h). Solve -2*z = 3*y + u, 4*z - 5*z + 3 = 5*y for z.
-2
Suppose -3*p + 2*h - 11 = 0, 3*p - 15 = 4*p + 5*h. Let w be -1*(p - -11) + 10. Solve 0 = w*q - 2*u + 4, q = -4*u - 5 - 5 for q.
-2
Let u(q) = -7*q + 65. Let v be u(9). Let z be v/(8/(-6))*36/27. Let c be z/16 - (-33)/8. Solve 4*l - 2*r + 18 = 0, 2*l - c*r + 2 = -4 for l.
-5
Suppose 15*s + 18 = 10*m - 7*m + 16*s, -45 = -5*s. Let b be 12/2 - (2 + -1). Solve m*f - 21 = b*f + 3*k, -f - 28 = 5*k for f.
-3
Let m be 12/1 + -4*(0 - -1). Let w be (((-350)/(-15))/5)/((-2)/(-6)). Let z = w - m. Solve 2*h - z*h - 13 = 5*x, 4 = -4*x for h.
-2
Let h(c) = c**3 - 6*c**2 + 5*c. Let d be h(5). Let p(q) = -q**3 - 27*q**2 - 37*q - 259. Let v be p(-26). Solve 0 = 3*a + 4*t + 4, d = -3*a + 5*t + 5 + v for a.
4
Let b be (3 + 22 - 6) + -15. Solve 15 = -b*o - 23*c + 18*c, 2*o - 6 = 2*c for o.
0
Let a be 204/15 - (-6)/(-10). Suppose 3*q - a = -58. Let h be (-2)/q + 6/(-45). Solve 0*n = n + 4, h = -4*u - 5*n - 24 for u.
-1
Let x = -6081 + 6081. Solve g + 5 = -y - x*y, 8 = 2*g - y for g.
1
Suppose 2*y + 11 = 2*g + 21, -4*g = -y - 4. Solve 3*b + 11 = -5*d - 1, 2*d = 2*b + y for d.
0
Suppose 7 = 5*k - 6*k. Let w(b) = 2*b**2 + 11*b + 6. Let z be w(k). Solve 7* | {
"pile_set_name": "DM Mathematics"
} |
= -0*s + 5*s - 5*q + 35, -4 = 4*s + 2*q for s.
-3
Suppose -2*k + 2*m = -12, -15 = -4*k - m + 2*m. Let f(y) = y - 1. Let l be f(k). Solve 3*z + 5 = l*h, 5*z + 0*h = h - 6 for z.
-1
Let h(r) = 5*r**2 + 2*r**2 - r**3 - 3*r**2 - 4. Let c be h(3). Let x be (-108)/15*10/(-3). Solve -5*n + 3*d = x, 23 = -c*n + 2*d + 2 for n.
-3
Suppose -5*y + 7*g - 2*g + 25 = 0, -2*y = 3*g - 5. Let z(r) = r - 1. Suppose -p + 3*p = 8. Let o be z(p). Solve 2*l = y*n, -3*l - o = n + 4 for l.
-2
Let w be 0*2/(-8)*-2. Let u(p) = -3 - 1 + w*p + 2*p. Let a be u(3). Solve -a*x - b - 5 = -6*x, 20 = -3*x - 4*b for x.
0
Let b = 11 + -8. Suppose 4*v = -d + 7, b*d + 2*d = -2*v - 1. Suppose -2*c = 1 + 3, v*c = -5*r + 6. Solve -35 = 5*u + 5*y, 0 - r = 2*u - 4*y for u.
-5
Let c(s) = 5*s**3 - 10*s**2 - s - 3. Let f(g) = g**3 - g**2 - g. Let v(l) = -c(l) + 6*f(l). Let x be v(-5). Solve -5*m - 15 = -x*p - 2*p, 5*m + p - 9 = 0 for m.
1
Let q(x) = -x**3 + 5*x**2 + 5. Suppose -3*u + 20 = 5. Let v be q(u). Solve 0 = 5*a + v*t + 10, 4*a + 3 = -5*t - 7 for a.
0
Suppose 0 = -5*x + 137 + 3. Solve -4*d + 2*o + o = x, 0 = 4*d - 4*o + 32 for d.
-4
Let y(h) be the third derivative of -h**6/120 - 2*h**5/15 - h**4/3 - 2*h**3/3 + h**2. Let a be y(-7). Solve -a*l + 15 = 3*j, -5*l - 5 = -2*j + j for l.
0
Let r = -3 + 8. Suppose 4*l - 2 - 2 = -4*a, -r = l - 2*a. Let d be 2 + (-3)/(l/1). Solve -m + 5 = -f + 2*m, -f - 3*m = d for f.
-5
Let v = -200 + 207. Solve 4*a + m = v, -a - 5*m = -0*a + 22 for a.
3
Suppose 2*y = -5 + 15. Suppose -a = -c - y, a + 0 = 5. Solve -3 = h - 6*p + 5*p, c = h - 3*p + 11 for h.
1
Suppose 0 = 7*s - 8*s + 3. Solve -9 = -3*c, s*w + c + c - 21 = 0 for w.
5
Let w be 2 + 0/1 - 0. Suppose 14 - 2 = 3*v. Let s = 1 + v. Solve -q = -5*q - m - 12, s*q - 2*m = -w for q.
-2
Let d(r) = 3*r + 12. Let v be d(-3). Solve -u + 3*p - 4 = -20, 3*u + v*p = -12 for u.
1
Suppose 0 = -s - 4*s. Suppose -6*z + 2*z + 92 = s. Solve z + 12 = -5*x + 3*m, 3*x = -2*m - 2 for x.
-4
Let n = -2 + 5. Let j(i) = 2*i + 1. Let l be j(1). Suppose 4*k = -2*u - 2, l*u + 0*u = -3*k + 3. Solve n*g - 2*b - 15 = -5*b, -g + 15 = u*b for g.
0
Let a = -33 - -35. Solve 0 = -v - 5*z + 8, -a*v - 4 = -5*v + 5*z for v.
3
Let l = 59 + -55. Solve 0 = -l*w - 5*q - 23, 5*q = -3*w + 3*q - 12 for w.
-2
Let g = -2 - -4. Let k = 4 - -34. Suppose d = -4*d - n + k, 3*d = 4*n + 32. Solve 3*s = -g*h + 7, -4*s - 2*h + d = -0*h for s.
1
Let a(j) = -3*j - 60. Let q be a(-24). Solve q = -3*m, z + 3*m = -4*z - 22 for z.
-2
Let o(v) = v**3 + 2*v**2 + v + 1. Let y be o(-2). Let g(m) = 5*m**2 - 1. Let p be g(1). Let c = y + p. Solve c*u + l = 4*u - 4, -5*u - 5*l = 20 for u.
0
Let c(l) = -6*l**2 + 2*l - 1. Let f be c(1). Let b(s) = s**2 + 4*s. Let z be b(f). Solve -3*p = 15, z*o - 4*p - 3 = 12 for o.
-1
Suppose 3*j - 15 + 0 = 0. Suppose 12 = -j*u + 2*q + q, 0 = -u + 4*q - 16. Solve -3*f + 1 - 4 = u, 3*m + 16 = -f for m.
-5
Let d(s) = -7*s + 1. Let r be d(1). Let n be (1/(-2))/(r/24). Let h = 4 - n. Solve -c + 0*y - h*y + 5 = 0, 4*c + 3*y = 5 for c.
-1
Suppose 25*v - 28*v + 12 = 0. Solve v - 3 = -3*t - 5*b, -3*b - 1 = 2*t for t.
-2
Let q(j) = -2*j - 19. Let b be q(-13). Let f = b - 3. Suppose n = 0, 8 + 2 = 5*w + n. Solve w*t + 19 = -3*d, -7 = -f*t + d + 2*d for t.
-2
Suppose 31 - 7 = 4*z. Suppose -j + 12 - 3 = 0. Let r = j - z. Solve 4*o - 2*o + r*c - 1 = 0, 3*o - 3 = -3*c for o.
2
Suppose 2*l - 4*a - 24 = 0, 2*a + 11 = -2*l - a. Solve w - 22 = 5*g, 3*w - 3 = 2*g - l for g.
-5
Let v(z) = -z**3 - 2*z**2 + 2. Let d be v(-2). Solve -2*o - 3 = r, -2*o - 1 = d*r + 1 for o.
-2
Let t be ((-2)/3)/(8/(-84)). Solve -3*u = -5*z + 27, -4*u = -0*u + 3*z + t for u.
-4
Let f = -8 - -7. Let g = -1 - f. Suppose -3*d + 29 - 5 = 4*h, -5*h - 4*d = -31. Solve -3 = 4*a - x, a + g*x = -h*x - 4 for a.
-1
Suppose 3 - 1 = 2*p - 2*x, 0 = 3*p + x - 15. Suppose 3*o - 16 = o. Solve 5*v - 3 = -2*a + o, p*a = 2*v - 14 for a.
-2
Suppose s = -1 - 0. Let y = -4 + 7. Let z = y + s. Solve -4 = -2*o + 4*n, 2*o - z*n - 18 = -3*o for o.
4
Let b be (1 - (-4)/(-2))*-75. Suppose -2*l - 3*l + b = 0. Solve -s + 7 = 2*d, 2*s - 4*d + 3 = -l for s.
-1
Let h be (2 - -3 - 0)/(-1). Let t = 8 + h. Let s = 99 - 59. Solve 3*f - t - 1 = g, -5*g - 5*f + s = 0 for g.
5
Suppose 8*s = s + 140. Solve u + 3*i = -i - 19, 5*u - s = 3*i for u.
1
Let j(y) be the third derivative of y**2 + 0 + 1/24*y**4 + 0*y - 2/3*y**3. Let v be j(4). Solve v = -2*a + 2*k - 3*k + 2, a + 5 = k for a.
-1
Let z be ((-51)/12)/((-1)/4). Let v = 24 - z. Let a = v + -2. Solve -3*b - 12 = -0*b, 4*b = a*s + 9 for s.
-5
Suppose c = 7 - 2. Solve 0 = j + 3, -2*j - 14 = -c*q + 2 for q.
2
Suppose v + 12 - 3 = 0. Let l = -6 - v. Solve 4*i = 2*n + 18, 6*i + l = 2*i - 5*n for i.
3
Suppose -3*b = -b. Solve 0 = 5*y - 5*m, 16 = -3*y - 5*m - b for y.
-2
Suppose -2*w = -0*w. Suppose -a - 2*s = -5, w*a = 2*a - s - 5. Solve 0 = 2*n + 5*f + a, n + 2*f = -2*n + 1 for n.
1
Let j = 63 - 60. Solve -l - j = -3*m, -2*l = -l + m + 3 for l.
-3
Suppose -2*d + d = b - 2, -2*b + 4*d + 16 = 0. Suppose 2*m = -0*m + 12. Solve -4*u + b*f - 20 = 0, 3*u = m*u - 5*f + 25 for u.
0
Let r be 0*4/(-12) + 2. Solve 0 = 5*j - 2*x - 15, r*j + 2*j - 12 = x for j.
3
Let p(o) be the third derivative of -o**6/120 - o**5/12 - o**4/8 + 5*o**3/6 - 4*o**2. Let i be p(-4). Solve f + 2*g + 10 = 0, f - i = 5*f - 5*g for f.
-4
Let c(d) = d. Let l be c(4). Let a = -10 + 19. Let q = a - 5. Solve y + 4*y + 13 = -l*r, 0 = -q*y + r - 2 for y.
-1
Suppose -7 - 8 = -5*j. Suppose -2*m + 48 = -2*i, 8*i + 15 = j*i. Solve -d + u = -5, d - u = -4*d + m for d.
4
Suppose 2*n + 2 = 3*s, n + 4*n - 5 = 5*s. Suppose -18 = -s*y - 2. Suppose u - 1 - 3 = 0. Solve 0 = -y*f + 5*v + 14, 1 = -u*f - 4*v - 3 for f.
1
Suppose 0 = 2*q + 8 - 18. Solve -3*z + 2*t + 4 = 0, -2*t - 12 = -q*t for z.
4
Let g(b) = b**2 - 10*b + 2. Let i be g(10). Solve o = y, 7*o - 2*o = -i*y + 7 for y.
1
Suppose -5*z + 82 = -4*j, -3*j - 2*j = -2*z + 43. Solve 3*c - v = -5*v + 6, c + z = 4*v for c.
-2
Let w be 21/(-2) + 6/12. Let d(b) = b**3 + 10*b**2. Let t be d(w). Suppose -5*y + 9*y - 8 = 0. Solve 5*a - y*a = -f - 7, t = 2*a + 6 for f.
2
Let z be (81/54)/((-1)/(-2)). Solve -3*u - 3 = -3*k, u + z*k + 13 = -0*u for u.
-4
Let i be 2/4 + (-3)/6. Suppose i = -t + 3 - 1. Solve 0 = 3*o - t*o - 4*k + 8, -3*o - 4*k = 8 for o.
-4
Let y(h) = h + 5. Let k be y(-4). Let f be 4 + -2*(1 + 0). Suppose -o - 5*c + 38 = 0, 0 + 6 = f*o - 4*c. Solve -t - 2*t + p = -k, -o = -3*t - 5*p for t.
1
Let a(o) be the first derivative of 1/3*o**3 + 4*o + 7/2*o**2 - 2. Let q be a(-7). Solve r + 5*g = -15, 0*r = q*r - 3*g - 9 for r.
0
Suppose f = -n - 0*f + 18, n + 2*f = 14. Let l = n - 18. Solve -9 = -3*a + 4*o - 0*o, -l*o - 14 = 2*a for a.
-1
Let u be 3 + -1 + 0 + 1. Suppose 4*h - m - 20 = 0, h - u*m - 12 = -3*h. Suppose 2*q + 2*q = a - h, -11 = -4*a + 3*q. Solve o + 2*w = 2, -14 = o - 4*w + a for o.
-4
Let o = 8 - 5. Suppose p - o*k - 9 = 0, p - 2 = -k - 5. Solve 0 = -4*n + 16, p = -6*i + i + 2*n - 3 for i.
1
Let k(m) = m**2 - 7*m + 8. Let g be k(6). Suppose -q - 5*t = 8, 0*q - g*q + 4*t = -12. Solve 0 = -4*d + 4*c - 8, -6*d - q*c - 8 = -2*d for d.
-2
Suppose l + 2*r - 4 = -1, 4*l + 2*r + 6 = 0. Let f(v) = -v**2 - 4*v. Let h be f(l). Solve -a - 2*u - 20 = h*a, 0 = 2*a - u + 6 for a.
-4
Suppose 8 = 5*a - 12. Suppose 0*t - 3*t = r - 23, 4*t = a*r - 12. Let d be (1 - 3) + 5/1. Solve -4*z = -r*z - d*j - 8, -4*j + 10 = -5*z for z.
-2
Suppose 6 = 2*b + h, -3*b + 3*h + 0*h = 0. Solve 2*o + 12 = -b*l, -2*l - 5*o - 26 = -l for l.
-1
Let y be ((-4)/6)/(7/(-126)). Solve 0 = -4*s + 4*w - y + 4, 2*w - 10 = 5*s for s.
-2
Suppose -7*s + 12 = -3*s. Suppose w = s*w. Suppose w = 3*y + y - 16. Solve j - 5 = -y*a + 2*a, 0 = 5*j + 2*a + 7 for j.
-3
Let q(l) = -l**2 + 7*l - 6. Suppose 0*h = -h + 5. Let z be q(h). Solve z*d = 3*g - 14, -2*g = -0*g + 4 for d.
-5
Suppose -v + 5*v - 10 = 2*u, -v - 5*u = -8. Solve -q + 2*z + 0*z = 3, q = 3*z - v for q.
-3
Suppose 0*z - 13*z = -39. Suppose 2*v = -v. Solve v = t - a, -z*t + 0 - 1 = -4*a for t.
1
Let d be (-6)/(-2)*(-2)/(-3). Suppose 0 = -0*u + 3*u - 9. Let t = -1 + u. Solve 0 = -t*z + 3*z - d*o, 3*z = 4*o - 4 for z.
-4
Suppose -7*a - 20 = -2*p - 2*a, 5*p - a = 4. Suppose -4*i + 22 = f, -27 - 49 = -4*f - 4*i. Let b = f - 14. Solve 5*j + b*n + 8 = p, | {
"pile_set_name": "DM Mathematics"
} |
actor of m(5)?
False
Is -48*((-18)/16)/((-3)/(-2)) a multiple of 6?
True
Let b = -13 + 15. Does 19 divide b*(266/4)/7?
True
Suppose 2*f - 8 - 60 = 0. Is 6 a factor of f?
False
Let m(o) = -o**2 + 9*o. Let n be m(8). Suppose 0*h = 2*a + 4*h - n, h = -5*a + 2. Is 12 a factor of a + 6*9/2?
False
Let o(u) = -3*u**3 - u + 2 - u**2 - 2*u**3 + 4*u**3 - 3*u**3. Does 8 divide o(-2)?
True
Suppose 0 = -2*l - z + 6, -3*z = l - 4*l. Suppose -l*d + 4 = -0. Is d a multiple of 2?
True
Let b(d) be the second derivative of -5*d**3/6 - d**2/2 - 2*d. Let u be b(-1). Let q = u - -14. Is 9 a factor of q?
True
Is (8/10)/((-3)/(-195)) a multiple of 13?
True
Let a(v) = v**2 - 13*v. Let w be a(13). Let c = w - -11. Is 11 a factor of c?
True
Let i = 20 - -37. Is i a multiple of 14?
False
Suppose -2*d - 2*d = -8. Suppose d*h + 2*m = 51 + 15, 2*h - 66 = -4*m. Is h a multiple of 15?
False
Let b = 5 - 3. Suppose -5*r = -5*f + 50, b*r + 46 = -2*f + 6*f. Suppose 0 = 3*o + f - 31. Is 4 a factor of o?
False
Let t be (360 - 6/(-3)) + 3. Suppose -5*a = -2*l - t, -4*a + 400 = 2*l + 90. Is 20 a factor of a?
False
Let a be (-3)/(-6)*6 + -2. Suppose -6 = -w - a. Suppose w*o = 2*o + 105. Is 15 a factor of o?
False
Let a(r) = -4*r**2 + 8*r + 3. Let n(z) = -5*z**2 + 9*z + 2. Let x(s) = -4*a(s) + 3*n(s). Does 22 divide x(-5)?
True
Suppose 0 = 5*l - 3*z - 23 - 82, 4*z = -2*l + 68. Let d = l + -5. Is d a multiple of 4?
False
Suppose 0 = -4*j, -3*j + 12 = -v + 2*j. Let d be 1/(-4) - (-485)/20. Let p = d + v. Is p a multiple of 12?
True
Let o = -6 - -8. Suppose 8 = -n - 5*c, -3*c = -o*n + c + 26. Is n a multiple of 3?
False
Let d be (-12)/(-8)*4/(-3). Let z(a) = 89*a**2 + 3*a + 2. Let l be z(d). Is l/6 + 6/(-9) a multiple of 17?
False
Suppose 0*p = 2*p - 6. Let b be (12/(-9))/(1/(-6)). Suppose -b - p = -k. Is 11 a factor of k?
True
Suppose 4 = 3*y - 2. Suppose 0*w - 5*w + a = -163, w - y*a - 29 = 0. Does 11 divide w?
True
Let a = 90 + -50. Is a a multiple of 10?
True
Suppose d = -0*d + 60. Is d a multiple of 12?
True
Let s be (40/(-3))/(3/(-18)). Suppose -2*m - q = -2*q + 17, 3*q + 29 = -4*m. Is 14 a factor of s/30*(-42)/m?
True
Suppose -c + 3*g + 30 = 0, -g = -5*c + 64 + 100. Is c a multiple of 11?
True
Suppose v = -8*o + 3*o + 92, o = -3*v + 248. Is v a multiple of 18?
False
Suppose 3*u - 13 = 83. Is 8 a factor of u?
True
Suppose 0 = 3*t - 4*s - 28, -8 = 2*s - 0*s. Suppose n = -n + t. Is 9 a factor of -2 + 11/2*n?
True
Let k = -74 + 233. Suppose -i + 5*o + 36 = 0, -5*o - k = -5*i - 19. Does 13 divide i?
True
Let s = -202 - -337. Is 27 a factor of s?
True
Let c(b) = -27*b - 3. Let w be c(-2). Suppose -j - 67 = -4*p + 158, -2*j - w = -p. Does 10 divide p?
False
Suppose -49 - 79 = -4*z. Suppose y - 3*u - z = 0, -2*y + 4*u = u - 49. Is 4 a factor of y?
False
Is ((-252)/(-35))/((-6)/(-20)) a multiple of 6?
True
Let f = -5 - -8. Let d = -10 + f. Let c = d - -17. Does 8 divide c?
False
Suppose -2*q + 135 = -5*l, -2*q + 5*l + 155 = 4*l. Is 8 a factor of q?
True
Let p(w) be the second derivative of w**5/20 - w**4/4 - w**3/2 - w**2 + w. Let m be p(4). Suppose 0 = b + k + m*k - 8, -2*k + 2 = 0. Does 3 divide b?
False
Let o = -2 + 1. Let q = 9 + o. Suppose 3*u + z - 5 = 33, -2*z = q. Does 9 divide u?
False
Let t(r) be the first derivative of -r**3/3 - 9*r**2/2 + 4*r - 2. Is 9 a factor of t(-7)?
True
Let c = -77 + 126. Is 30 a factor of c?
False
Suppose 38 = 4*u - 34. Is u a multiple of 6?
True
Let i = 4 - -1. Suppose 2*o + 3*o + 10 = 0, -3*x + i*o + 103 = 0. Is x a multiple of 15?
False
Suppose 9 + 51 = 2*l. Is 3 a factor of l?
True
Let u = -149 - -219. Is u a multiple of 33?
False
Does 20 divide ((-69)/(-9) - -2)*6?
False
Suppose -2*u - 132 = -6*u. Suppose -4*z + z = 2*x - 22, 0 = -3*x + z + u. Is 6 a factor of x?
False
Let z = 55 - 17. Is z a multiple of 19?
True
Suppose -i = 3 - 8. Suppose -9*p = -i*p - 156. Is 13 a factor of p?
True
Let n = 89 + -34. Let p be (155/(-15))/((-1)/3). Let c = n - p. Is 17 a factor of c?
False
Suppose o + 3*o = 3*k + 63, 3*k - 21 = -3*o. Suppose 2*r - o = -r. Is r even?
True
Suppose 3*v + 8 + 2 = 4*y, 2*v - y + 5 = 0. Suppose 0 = -2*p - 2*p - 2*l - 76, -p - 5*l = 19. Let w = v - p. Is 17 a factor of w?
True
Let g(k) = 72*k**2 + 8*k + 10. Is 47 a factor of g(-2)?
True
Let a be (-1 + -1 - -2)/2. Let g(i) = a*i - 10 - i**3 + 5*i + 9 - i. Does 7 divide g(-3)?
True
Let h(s) = s**2 - 118. Suppose 5*b + 5*p = 5, -2*b = -3*b + 4*p - 4. Let w be h(b). Is w/(-10) - 2/(-10) a multiple of 8?
False
Suppose 5*m + 20 = 0, -5*a - 3*m + 381 = 58. Does 7 divide a?
False
Suppose 0 = -0*h - h - 4. Let y(m) = -m**2 - 5*m - 2. Does 2 divide y(h)?
True
Let r be (-37)/((-4)/3 - -1). Let b = -66 + r. Is b a multiple of 15?
True
Let w(s) be the second derivative of -s**4/12 + 5*s**3/3 + 3*s**2/2 - 2*s. Is 19 a factor of w(8)?
True
Let y(j) = -j**2 - 7*j - 8. Let k be y(-6). Let x be (2/k)/((-1)/5). Suppose -3*h - x*f + 28 = 0, 3*h + 0*h - 56 = 2*f. Does 8 divide h?
True
Suppose -x = -5*x + 168. Suppose 90 = 2*q - 2*i, 2*i - x - 6 = -q. Is q a multiple of 12?
False
Suppose 2*a - 150 = -4*x, 2*x = 4*x - a - 69. Suppose 0 = j - x + 3. Is 11 a factor of j?
True
Let d(r) = 2*r + 2. Let n be d(2). Suppose 15 = 3*f - n*f, 5*u + 4*f - 5 = 0. Suppose -m = -u*m + 80. Does 15 divide m?
False
Suppose o - 5*o + 12 = 0. Let r(q) = -q**2 + 3*q + 3. Let j be r(o). Is 14 a factor of j*(-2)/(6/(-39))?
False
Let t be (-4)/3*(-3)/2. Suppose -t = -j, -3*j - 6 = -4*y - 2*j. Is y a multiple of 2?
True
Suppose -1706 = -12*l - 374. Is 7 a factor of l?
False
Let p(q) = q**3 - 3*q**2 - 6*q + 2. Let a be p(4). Let b(y) be the third derivative of y**5/60 + 7*y**4/24 + 4*y**3/3 - 2*y**2. Does 2 divide b(a)?
True
Suppose -2*j + 1 - 7 = 0. Suppose -1 = 5*q - 26. Let m = q - j. Is m a multiple of 3?
False
Let i(z) = z - 5*z + 0*z - 1 - 3*z**3 + 5*z. Does 7 divide i(-2)?
True
Let z(r) = -r + 12. Let c be z(10). Is 7 a factor of 4 - (-1 - c/1)?
True
Let v(x) = 12*x**2 - 3*x + 2. Let g be v(2). Suppose 0 = -4*f - 3*b + 40 + g, -5*f + 4*b + 136 = 0. Is f a multiple of 12?
True
Let v be 16 - (0 - (1 + 1)). Suppose -v*r = -21*r + 48. Is r a multiple of 5?
False
Let t(v) = -v**3 + v**2 - v + 204. Is t(0) a multiple of 10?
False
Suppose 4*k = 2*x - 8, 3*x = -2*x + k + 38. Let u = 1 - x. Does 16 divide (7/(u/30))/(-1)?
False
Suppose 4*x + 0*x = -24. Let n be 2 + (-6)/1 + 18. Let y = x + n. Is y a multiple of 8?
True
Let x be 6/(-9) - (-68)/(-6). Let c = 15 - x. Does 9 divide c?
True
Let q(a) = 53*a**2 + 8*a + 8. Does 9 divide q(-1)?
False
Suppose -38 = -4*z + 82. Is 15 a factor of z?
True
Suppose -4*f + 4*s + 8 = 0, 0 = -0*f + f + 4*s - 12. Is 3 a factor of 19/f + 4/16?
False
Suppose -4*s + 4*n = 0, s + n - 12 = -4*s. Suppose -7 = -s*w + 23. Is w a multiple of 6?
False
Let n = -20 - -39. Suppose -7 = -i + n. Does 26 divide i?
True
Let t(j) be the third derivative of j**5/120 + j**4/6 - j**3/3 + j**2. Let d(g) be the first derivative of t(g). Does 5 divide d(6)?
True
Let b(g) = -g**2 + 2. Let z be b(-5). Suppose -s = -2*w - 24, -4*w + 3*w - 4*s - 3 = 0. Let r = w - z. Is r a multiple of 12?
True
Let v(c) = -c**3 + 4*c**2 + 2*c - 2. Suppose -3*s - 4 + 16 = 0. Is v(s) a multiple of 3?
True
Suppose -5*w + 3 = -7. Suppose w*v - 135 = -3*v. Does 9 divide v?
True
Let z(i) = -i**2 - 12*i + 31. Is z(-14) a multiple of 2?
False
Let d be (3/(-2))/((-2)/(-20)). Let z(i) = i - 3. Let y be z(-3). Is 15 a factor of 77/5 - y/d?
True
Let a(t) = 2*t**2 + 9 - 3*t**2 - 8*t + 2*t - 2*t. Let q be a(-9). Suppose d - 13 = -q*d + g, 7 = d - 4*g. Is 15 a factor of d?
True
Suppose -a = -x - 8, 2*a - 4*x + 38 = 5*a. Suppose -3*c = -2 - a. Is c a multiple of 2?
True
Suppose -95 - 21 = -4*x. Does 21 divide x - (1 - 3) - 0?
False
Let s = 20 + -4. Suppose 4*d - s = -0*d. Suppose -d*z = 20, 5*j + 0*z + 4*z = 70. Is j a multiple of 14?
False
Let q(a) = a**3 - 7*a**2 + 4*a + 14. Let k be q(6). Is k/(-14) - (-2076)/28 a multiple of 17?
False
Let o = -88 + 217. Let b = 86 - o. Let j = 63 + b. Does 10 divide j?
True
Let l(v) = v**2 - 7*v + 5. Let j be l(7). Suppose -j*n + 73 + 27 = 0. Is 14 a factor of n?
False
Let b(a) = a**3 + 6*a**2 + 4*a - 5. Let x be b(-4). Suppose -4*t = x - 31. Is 5 a factor of t?
True
Suppose -t = -5*z + 8, 2*z - 7 + 5 = t. Suppose 16 + 56 = t* | {
"pile_set_name": "DM Mathematics"
} |
62823?
j**2 + 377133*j - 11
What is the f'th term of 1698, 3645, 6876, 11391, 17190, 24273?
642*f**2 + 21*f + 1035
What is the u'th term of 39293, 39085, 38877, 38669?
-208*u + 39501
What is the d'th term of -1818, -3641, -5460, -7269, -9062, -10833, -12576?
d**3 - 4*d**2 - 1818*d + 3
What is the w'th term of -115916, -231731, -347546, -463361, -579176, -694991?
-115815*w - 101
What is the o'th term of 3661, 7320, 10981, 14650, 18333, 22036, 25765, 29526?
o**3 - 5*o**2 + 3667*o - 2
What is the g'th term of 721498, 721447, 721396, 721345, 721294?
-51*g + 721549
What is the n'th term of 1271, 2432, 3671, 4982, 6359?
-n**3 + 45*n**2 + 1033*n + 194
What is the b'th term of -4438, -4537, -4816, -5365, -6274, -7633?
-15*b**3 + 6*b - 4429
What is the f'th term of 103, 433, 679, 841, 919, 913, 823?
-42*f**2 + 456*f - 311
What is the l'th term of 2944, 7696, 14264, 22642, 32824?
-l**3 + 914*l**2 + 2017*l + 14
What is the a'th term of -7641214, -7641226, -7641238?
-12*a - 7641202
What is the f'th term of -22179, -23369, -24559, -25749?
-1190*f - 20989
What is the u'th term of 935180, 935686, 936192, 936698, 937204, 937710?
506*u + 934674
What is the q'th term of 107780, 215549, 323308, 431057, 538796, 646525?
-5*q**2 + 107784*q + 1
What is the q'th term of 11313531, 11313529, 11313527, 11313525, 11313523?
-2*q + 11313533
What is the x'th term of -214200610, -428401216, -642601822, -856802428, -1071003034?
-214200606*x - 4
What is the v'th term of -11252, -11253, -11262, -11279, -11304, -11337?
-4*v**2 + 11*v - 11259
What is the q'th term of 302933, 302813, 302617, 302345, 301997, 301573?
-38*q**2 - 6*q + 302977
What is the t'th term of -1187858, -1187863, -1187870, -1187879, -1187890, -1187903, -1187918?
-t**2 - 2*t - 1187855
What is the s'th term of 5901, 6077, 6527, 7389, 8801, 10901, 13827, 17717?
23*s**3 - s**2 + 18*s + 5861
What is the h'th term of 2070362, 2070499, 2070636, 2070773?
137*h + 2070225
What is the c'th term of 17375, 19155, 22113, 26243, 31539, 37995?
-c**3 + 595*c**2 + 2*c + 16779
What is the c'th term of 53242, 104871, 156500, 208129, 259758, 311387?
51629*c + 1613
What is the x'th term of -390800, -390791, -390782?
9*x - 390809
What is the n'th term of 3880, 15932, 36018, 64138?
4017*n**2 + n - 138
What is the h'th term of 69436, 138913, 208422, 277963, 347536?
16*h**2 + 69429*h - 9
What is the x'th term of 24766, 24729, 24644, 24511?
-24*x**2 + 35*x + 24755
What is the f'th term of 4926, 4608, 4290?
-318*f + 5244
What is the j'th term of 10997632, 10997634, 10997636, 10997638?
2*j + 10997630
What is the f'th term of -203886, -407390, -610894?
-203504*f - 382
What is the x'th term of 15165897, 30331805, 45497713, 60663621?
15165908*x - 11
What is the g'th term of 13723044, 27446195, 41169346?
13723151*g - 107
What is the l'th term of 32831, 65724, 98679, 131696, 164775?
31*l**2 + 32800*l
What is the n'th term of -8593, -16437, -24259, -32059, -39837, -47593, -55327?
11*n**2 - 7877*n - 727
What is the x'th term of 2715508, 2715598, 2715690, 2715784?
x**2 + 87*x + 2715420
What is the h'th term of -15349, -14969, -14589?
380*h - 15729
What is the i'th term of 95591, 95981, 96371, 96761, 97151?
390*i + 95201
What is the p'th term of 47866147, 47866143, 47866137, 47866129?
-p**2 - p + 47866149
What is the n'th term of 39863, 39608, 39353?
-255*n + 40118
What is the r'th term of 9717150, 9717157, 9717164?
7*r + 9717143
What is the s'th term of -1307725, -2615497, -3923269, -5231041?
-1307772*s + 47
What is the z'th term of -77384686, -77384688, -77384690?
-2*z - 77384684
What is the y'th term of -142, 318, 2014, 5564, 11586, 20698, 33518?
103*y**3 - 261*y + 16
What is the b'th term of 800, 2176, 4188, 6836, 10120?
318*b**2 + 422*b + 60
What is the v'th term of -1112, -2428, -3986, -5786?
-121*v**2 - 953*v - 38
What is the o'th term of -96357, -192900, -289629, -386544, -483645, -580932, -678405?
-93*o**2 - 96264*o
What is the l'th term of 904434, 904401, 904368, 904335, 904302, 904269?
-33*l + 904467
What is the a'th term of 4664171, 9328327, 13992483?
4664156*a + 15
What is the f'th term of 145729, 291448, 437159, 582862?
-4*f**2 + 145731*f + 2
What is the l'th term of 28210, 112817, 253824, 451225, 705014?
-l**3 + 28206*l**2 - 4*l + 9
What is the u'th term of 72969, 145900, 218825, 291744, 364657, 437564?
-3*u**2 + 72940*u + 32
What is the k'th term of 164333, 164172, 164011, 163850, 163689, 163528?
-161*k + 164494
What is the u'th term of -140264, -146156, -152048, -157940, -163832, -169724?
-5892*u - 134372
What is the a'th term of -5461, -10847, -16195, -21487, -26705, -31831, -36847, -41735?
3*a**3 + a**2 - 5410*a - 55
What is the b'th term of -378975, -378985, -378995, -379005, -379015?
-10*b - 378965
What is the x'th term of 418502690, 418502689, 418502688, 418502687, 418502686?
-x + 418502691
What is the x'th term of 155, 1548, 5595, 13706, 27291, 47760?
235*x**3 - 83*x**2 - 3*x + 6
What is the c'th term of -6186, -12361, -18628, -24987, -31438?
-46*c**2 - 6037*c - 103
What is the o'th term of 30350, 60816, 91282, 121748?
30466*o - 116
What is the x'th term of -505286, -505285, -505286, -505289, -505294, -505301?
-x**2 + 4*x - 505289
What is the q'th term of -8537, -14926, -25575, -40484, -59653, -83082?
-2130*q**2 + q - 6408
What is the g'th term of -242176, -484347, -726520, -968695?
-g**2 - 242168*g - 7
What is the t'th term of -6809, -13886, -20959, -28028, -35093?
2*t**2 - 7083*t + 272
What is the a'th term of -5112957, -10225915, -15338873, -20451831, -25564789?
-5112958*a + 1
What is the r'th term of -2147364, -4294730, -6442096?
-2147366*r + 2
What is the w'th term of -28, -126, -352, -766, -1428, -2398, -3736?
-10*w**3 - 4*w**2 - 16*w + 2
What is the f'th term of 453, -342, -1137, -1932, -2727?
-795*f + 1248
What is the y'th term of 833609, 833578, 833533, 833468, 833377?
-y**3 - y**2 - 21*y + 833632
What is the t'th term of -33187, -132965, -299337, -532303?
-33297*t**2 + 113*t - 3
What is the c'th term of 22457, 22708, 22971, 23246?
6*c**2 + 233*c + 22218
What is the z'th term of -65566, -130934, -196302, -261670, -327038?
-65368*z - 198
What is the h'th term of 74265, 72589, 70911, 69231, 67549?
-h**2 - 1673*h + 75939
What is the a'th term of 141604, 283171, 424756, 566359?
9*a**2 + 141540*a + 55
What is the y'th term of 33324, 33285, 33246?
-39*y + 33363
What is the m'th term of 181594707, 181594705, 181594703?
-2*m + 181594709
What is the u'th term of -308, 1084, 4146, 8878, 15280?
835*u**2 - 1113*u - 30
What is the h'th term of 349, -365, -2205, -5735, -11519, -20121?
-94*h**3 + h**2 - 59*h + 501
What is the g'th term of 8636039, 8636038, 8636037, 8636036?
-g + 8636040
What is the x'th term of 1445697, 1445693, 1445689?
-4*x + 1445701
What is the i'th term of 35847308, 35847344, 35847404, 35847488?
12*i**2 + 35847296
What is the u'th term of -4100091, -8200439, -12300787, -16401135, -20501483, -24601831?
-4100348*u + 257
What is the m'th term of 8817, 9034, 9265, 9516, 9793?
m**3 + m**2 + 207*m + 8608
What is the t'th term of 2372, 4846, 7408, 10100, 12964, 16042?
7*t**3 + 2*t**2 + 2419*t - 56
What is the w'th term of 141168, 282375, 423582?
141207*w - 39
What is the h'th term of -10007554, -10007545, -10007536, -10007527?
9*h - 10007563
What is the f'th term of 147, 1233, 4179, 9903, 19323, 33357, 52923, 78939?
153*f**3 + 12*f**2 - 21*f + 3
What is the v'th term of -12367, -12060, -11753?
307*v - 12674
What is the o'th term of 5271374, 5271546, 5271732, 5271938, 5272170, 5272434, 5272736?
o**3 + o**2 + 162*o + 5271210
What is the b'th term of 255380, 253881, 252382, 250883, 249384?
-1499*b + 256879
What is the f'th term of -6935, -13624, -19805, -25226, -29635, -32780, -34409?
42*f**3 + 2*f**2 - 6989*f + 10
What is the h'th term of 3456, 8170, 12858, 17508, 22108, 26646, 31110, 35488?
-2*h**3 - h**2 + 4731*h - 1272
What is the b'th term of 5043, 17401, 37071, 64053, 98347, 139953, 188871?
3656*b**2 + 1390*b - 3
What is the t'th term of -49147, -98284, -147421, -196558, -245695, -294832?
-49137*t - 10
What is the t'th term of -2584857, -5169559, -7754261, -10338963, -12923665?
-2584702*t - 155
What is the r'th term of -4784, -147, 4490, 9127, 13764, 18401?
4637*r - 9421
What is the z'th term of -2261996, -452 | {
"pile_set_name": "DM Mathematics"
} |
w in increasing order.
w, -0.2, 7
Let o = 0.2 + -0.1. Let b = 1.9 - -0.1. Sort 4, o, b in decreasing order.
4, b, o
Let o = -9.03 + 9. Let p = o + 2.03. Let m = 0.2 - -2.8. Sort -0.2, p, m in ascending order.
-0.2, p, m
Let i = -33 - -36. Put -5, i, 5 in descending order.
5, i, -5
Suppose -8 = -x - 2*h - 2, 0 = 4*h - 8. Suppose 2*o + x - 8 = 0. Put 0, -3, o in decreasing order.
o, 0, -3
Let b = 0.11 + -1.41. Let r = -1 - b. Sort r, 0.03, 4/3.
0.03, r, 4/3
Let i be 4 + 3*4/(-12). Put -5, -3, i in descending order.
i, -3, -5
Let r = 54 - 58. Put 2, -6, r in descending order.
2, r, -6
Let g = 3 - 2.9. Sort 6/5, g, -5 in increasing order.
-5, g, 6/5
Let m = 13 - 11. Sort 1, m, 3 in ascending order.
1, m, 3
Suppose 15*q = 10*q - 5. Sort 1, -14, q.
-14, q, 1
Let l = 4.979 - -0.021. Sort l, 1.1, -0.4 in decreasing order.
l, 1.1, -0.4
Let h = 8 - 8.03. Let u = h - -0.06. Put u, 0.1, 3 in descending order.
3, 0.1, u
Suppose -3*l = -6, 3*o + 5*l - 6 = 1. Sort o, 2, -5.
-5, o, 2
Let f be 98/(-6) + 4/12. Let t = 32 + f. Suppose 5*z = 9 + t. Put z, 0, 2 in decreasing order.
z, 2, 0
Let d = 24 - 23.95. Let f = -0.1 - -0.05. Let z = d - f. Sort 1/6, z, -0.1 in descending order.
1/6, z, -0.1
Let f = 28 + -30. Sort 5, 4/11, f, 0.2.
f, 0.2, 4/11, 5
Let w = -7 + -4. Sort w, -5, -2.
w, -5, -2
Let f = 73/6 + -23/2. Let y = -0.4 + 0.3. Let o = -0.024 - 0.176. Sort y, f, o in increasing order.
o, y, f
Let v = 86.98 + -87. Sort v, 0.5, -0.3 in descending order.
0.5, v, -0.3
Let m be (0/1 - -1) + -1. Let a = -137 + 140. Put m, 1, a in ascending order.
m, 1, a
Let g = -22 - -12.2. Let j = g + 10. Let m = -11 - -15. Put m, j, -0.2 in increasing order.
-0.2, j, m
Let d = -45 - -48. Put 7, -5, d in ascending order.
-5, d, 7
Let g be ((-9)/(-1 + -2))/5. Let s = -0.9 + 6.9. Let x = s + -5. Sort 0, x, g.
0, g, x
Let x = 2 - 1.94. Let c = -3.06 + x. Let g = -13 - -12. Put -2, c, g in decreasing order.
g, -2, c
Let s be (-16)/(-24) - 33/9. Let k = -0.1 + 0. Sort 2, s, k in decreasing order.
2, k, s
Suppose 2*z = 7*z - 10. Let v = -3 + 8. Put z, v, 3 in ascending order.
z, 3, v
Let m = -0.4 - -0.9. Let w be (-1 - -1)*(0 - 1)*1. Put w, m, -0.1 in decreasing order.
m, w, -0.1
Let a(q) = -q**3 - 8*q**2 + 2*q + 6. Let o be a(-8). Let h(m) = -m**2 + 1. Let w be h(4). Let p = o - w. Put -1, 4, p in descending order.
p, 4, -1
Suppose -15 = -3*i - 3*l - 0*l, 21 = 5*i + 3*l. Let x = 208 - 206.97. Let z = 0.03 - x. Put z, 1/2, i in descending order.
i, 1/2, z
Suppose -a - 11 = 2*a + 4*b, -4*a + 7 = b. Let p(s) = -s**2 + 4*s + 7. Let g be 80/14 - (-2)/7. Let i be p(g). Sort a, -2, i in increasing order.
i, -2, a
Let g = -0.05 + -0.95. Put -0.2, -3, g in decreasing order.
-0.2, g, -3
Let d = 103.3 - 103. Sort d, -4, 5, 2/3 in increasing order.
-4, d, 2/3, 5
Let t = 0.09 + -9.09. Let a = -9.5 - t. Suppose 0 = 4*o + 5*n - 25, 0*o + 4*n - 20 = 4*o. Put o, 0.2, a in increasing order.
a, o, 0.2
Let r(k) = -3*k + k + 2 - 1. Let c be r(2). Sort 0.01, -1/5, c in decreasing order.
0.01, -1/5, c
Let t = -1 + 5. Let j = 6 - t. Let n = -2.9 - -3. Sort n, j, -2/5.
-2/5, n, j
Let l be (-12)/15*(-10)/4. Let k be (-10)/(-4) - l/(-4). Let j = -0.54 + 0.04. Sort j, -2/5, k in descending order.
k, -2/5, j
Let n = 66 + -45. Sort 2, n, 1 in decreasing order.
n, 2, 1
Let n be (54/(-56) - 1) + 2. Let c = n - 71/420. Put 4/3, 3, c in ascending order.
c, 4/3, 3
Suppose 4*v = -0*v. Suppose -j - 3 = -v. Let x = -7 + 7. Sort j, 1, x in descending order.
1, x, j
Let v be 27/(-24)*4/3. Sort 5/3, v, 0 in descending order.
5/3, 0, v
Suppose -106 = 2*p + 2*p - 2*x, 4*p + 121 = -3*x. Sort p, -2, 0.3 in decreasing order.
0.3, -2, p
Let r = 0.07 + -0.47. Put r, 6, 3/4 in decreasing order.
6, 3/4, r
Let u be 2 + -1 + 1 + -12. Let v be (u/(-25))/((-2)/(-10)). Sort 3, 0, v.
0, v, 3
Let k = -1 + 1. Let o = 4 + k. Let i(j) = -3*j - 1. Let f be i(-1). Sort f, o, -1.
-1, f, o
Let v(h) = h**3 + 7*h**2 + 6*h + 3. Let d be v(-6). Suppose d*i = -i - 16. Sort -3, i, 0.
i, -3, 0
Let d = 9 - 7. Let k be ((-3)/d)/((-9)/3). Put k, 2, 3 in increasing order.
k, 2, 3
Let r = -0.148 + 0.048. Sort 4/7, r, 4, 3/8 in ascending order.
r, 3/8, 4/7, 4
Let p = -0.1 + -0.1. Let c(f) = -2*f**2 - 9*f + 10. Let u be c(-7). Let h = u - -74/3. Put p, h, 0.5 in decreasing order.
0.5, p, h
Suppose 3*g + 7 = -2. Let p be (-3)/(-4) - 551/116. Suppose 3 = 2*w - 3. Sort g, p, w in decreasing order.
w, g, p
Let d be (3*-1)/(21/(-35)). Suppose 3*z = 4*x - 1, 0*x = d*x - 5*z. Let q(c) = -c**3 + 2*c - 1. Let y be q(x). Sort y, -2, -5 in decreasing order.
y, -2, -5
Let i = 83 - 81. Sort -1, -4, i in decreasing order.
i, -1, -4
Let f = 0 - -4. Sort 6, 3, f.
3, f, 6
Suppose -4*q - 2*l = -0*l + 308, 4*l = 5*q + 398. Let w = -76059/5 + 15134. Let c = w - q. Sort -4/5, 0.5, c.
-4/5, c, 0.5
Let f be ((-14)/21)/(2/594). Let z = f - -987/5. Let w = 115 - 1037/9. Put z, w, 5 in decreasing order.
5, w, z
Let u(k) = k - 3. Let c(q) be the first derivative of -q**2/2 + 4*q - 2. Let p(t) = -6*c(t) - 7*u(t). Let h be p(0). Put -1, 4, h in decreasing order.
4, -1, h
Let p(z) = -z**3 + 4*z**2 + 2*z + 12. Let g be p(5). Sort 5, 0.4, g in ascending order.
g, 0.4, 5
Let s = -25.5 + 26. Put -0.1, -0.5, s in decreasing order.
s, -0.1, -0.5
Let y = 9523 + -18673/2. Let t = y + -190. Sort -1/11, 1, t.
t, -1/11, 1
Let r be (-55)/99 + 2/9. Put r, -1/5, -7 in ascending order.
-7, r, -1/5
Suppose 24*r - 19*r - 25 = 0. Sort r, 2, -5 in descending order.
r, 2, -5
Suppose 10 = -5*o - 2*a, o + o + 3*a + 4 = 0. Let v be 0 + (1 + 0)/(-1). Sort 5, o, v in decreasing order.
5, v, o
Suppose -4*l = -0*l + 12. Let y = -50.4 + 50. Put y, 0, l in increasing order.
l, y, 0
Suppose 2*b + 9 = w - b, 5*b - 2 = -4*w. Let k be (-10)/(-6)*-6 - -6. Sort k, 1/2, w in increasing order.
k, 1/2, w
Let n(s) be the second derivative of s**5/20 - 5*s**4/12 + 5*s**3/6 - s**2/2 + 3*s. Suppose 0 = -m + 2 + 2. Let o be n(m). Put o, -1, 2 in ascending order.
-1, 2, o
Let j be (-4)/(-2) - (-3 + 5). Suppose j*m = 2*m - 8. Sort m, -5, -1 in ascending order.
-5, -1, m
Let m = 4129/3534 - 1/589. Sort m, -1, -2/11.
-1, -2/11, m
Let o(t) = -3*t. Let u be o(1). Let k = -1.3 + -0.1. Let g = -1 - k. Sort 1, u, g in descending order.
1, g, u
Suppose -5*q = 3*a + 3, -1 = -a + 5*q - 2. Let c be (-2 + 4)*a + -1. Let f(g) = -g - 4. Let o be f(c). Sort 5, -2, o in descending order.
5, o, -2
Let z(d) = 2*d + 6. Suppose -2*s + s + 9 = -2*u, u = 3*s - 7. Let c be z(u). Sort 12, 5, c.
c, 5, 12
Let o(b) = -b**3 + 6*b**2 + 2*b - 8. Let g be o(6). Suppose 0 = -0*u + g*u + 4. Let y be -4*u/6*3. Put y, 5, -5 in descending order.
5, y, -5
Let d(j) = -j**3 + 6*j**2 - 4*j - 3. Let a be 2/5 - 161/(-35). Let y be d(a). Put -3, y, 4 in decreasing order.
4, y, -3
Let g = 0.22 + -0.22. Sort g, 5, 4 in decreasing order.
5, 4, g
Suppose -c + 4*q = 18, 5*c + q + 4 = -2. Sort 0.3, c, 4 in decreasing order.
4, 0.3, c
Let m = -12 + 11. Let p = 1.5 + m. Let y be 1 - (1 + 2/(-3)). Sort 2/7, p, y in decreasing order.
y, p, 2/7
Let z be 21/12 - (-2)/8. Sort z, -0.4, 0.04.
-0.4, 0.04, z
Suppose 31 = -3*j + 5*z, -6*j + 2*z - 18 = -2*j. Let r = -176 + 177. Sort r, 3, j in increasing order.
j, r, 3
Let x = 88 - 93. Put 5, -3, x, 0 in ascending order.
x, -3, 0, 5
Suppose -4*l = -2*z - 3 - 3, 0 = 5*l - 5*z + 5. Put l, 2, -71 in decreasing order.
l, 2, -71
Let g = -0.007 - 0.193. Sort 2/11, 3, g, 1 in ascending order.
g, 2/11, 1, 3
Let g = 10.1 + -2.1. Let i = -7.55 + g. Let p = i + -0.05. Put p, -0.4, 4 in decreasing order.
4, p, -0.4
Let y = 7 + -5. Suppose 2*h - 4 = y. Sort -5, 2, h in decreasing order.
h, 2, -5
Let l = 6 + -5.6. Let w = 3.377 - 0.077. Let p = 3 - w. Sort p, l, 3.
p, l, 3
Let c = -11 - -6. Let z be (10/2)/(c - -4). Suppose -5 = 2*v - 4*n - 1, 3*v + n - 8 = 0. Sort v, 0, z in ascending order.
z, 0, v
Suppose 5*w + x - 65 = 0, 0 = 2*w - 5*x - 9 - 17. Sort w, 1, -5 in increasing order.
-5, 1, w
Let c = 6.1 + -6.6. Put 0, -0.3, c in decreasing order.
0, -0.3, c
Let n be (-2 + 3)/((-1)/(-4)). Sort n, 0, -2.
-2, 0, n
Let s(j) = -5*j**2 + j**2 + 2 + j + 0*j**2 + 3*j**2. Let h be s(2). Let x = 4.5 - 0.5. Sort x, -4, h.
-4, h, x
Let l = -0.08 - -0.12. Sort l, -5, -4 in descending order.
l, -4, -5
Let g be (-6)/9*((-55)/(-10) + -4). Put g, -2, 1, -5 in descendi | {
"pile_set_name": "DM Mathematics"
} |
36*y**2 + 5*y + 5. Let c(d) = -d**2 - d - 1. Let z(x) = -3*c(x) - m(x). What is the second derivative of z(t) wrt t?
6*t - 66
Let s(u) = -u**6 - 6*u**5 + 6*u**4 - 6*u**3 + 9*u**2. Let d(w) = -w**6 - w**5 + w**4 - w**3. Let g(c) = -6*d(c) + s(c). Find the third derivative of g(o) wrt o.
600*o**3
Let t(g) = -27*g**5 + 2*g + 6. Let a(p) = 82*p**5 - 7*p - 17. Let u(h) = -6*a(h) - 17*t(h). Find the second derivative of u(w) wrt w.
-660*w**3
Let i(n) = -23*n**2 + 21. Let p(m) = -68*m**2 + 62. Let g(r) = -11*i(r) + 4*p(r). What is the first derivative of g(k) wrt k?
-38*k
Let i(b) = -73*b**3 + 25*b**2 - 5*b + 5. Let x(u) = 109*u**3 - 38*u**2 + 7*u - 7. Let w(g) = -7*i(g) - 5*x(g). Find the third derivative of w(l) wrt l.
-204
Suppose h - 3*w = -17, h - 5*w = 7 - 32. Let p = 0 - h. Differentiate 4 - 3*d + p*d - 6*d with respect to d.
-4
What is the third derivative of 7*x**5 + 14*x**5 - 45*x**2 + 12*x**2 - x**5 wrt x?
1200*x**2
Let w(v) be the second derivative of 11*v**6/30 - v**2/2 + 9*v. Differentiate w(m) wrt m.
44*m**3
Let u(r) be the third derivative of 1/210*r**7 + 0 + 1/24*r**4 + r**2 + 0*r**5 + 0*r**6 + 0*r**3 + 0*r. Find the second derivative of u(y) wrt y.
12*y**2
Differentiate -n - 11 - 4*n - 10*n with respect to n.
-15
Suppose 0 = j - 4*w + 3 + 3, -3*j = w - 21. Suppose -5*o + 9 + j = 0. What is the second derivative of 3*s + 2*s**o + 0*s - 2*s wrt s?
12*s
Let c(s) = -s. Let g(z) = -9*z**2 + 3*z. Let o(x) = -2*c(x) - g(x). Find the second derivative of o(d) wrt d.
18
What is the third derivative of -3*f**4 + 33*f**2 - 9*f**4 - f**4 wrt f?
-312*f
Suppose 8 = -k + 5*k. What is the derivative of 3*o + 0*o + 1 - 2*o**k - 3*o wrt o?
-4*o
Let p = 5 + -7. Let u(y) = 5*y**3 - 9*y + 17. Let i(w) = -w**3 + 2*w - 4. Let z(b) = p*u(b) - 9*i(b). Find the first derivative of z(k) wrt k.
-3*k**2
Let t(m) = m - 2. Let h be t(8). Differentiate 2 - h + k + 3 wrt k.
1
Let p = 2 + -1. Find the first derivative of -3*t**4 + 0*t**4 - p + 4*t**4 wrt t.
4*t**3
What is the third derivative of -38*c**2 - 28*c**3 + 80 - 80 wrt c?
-168
Find the second derivative of a - 2*a**4 - a + 0*a**4 - a wrt a.
-24*a**2
Let x = -11 + 12. Let r be 0 + 1*(x + 3). What is the derivative of a**r + 5*a**2 - 5*a**2 - 1 wrt a?
4*a**3
Let k(h) = -7*h + 2. Let j(d) = 6*d - 2. Let t(s) = 6*j(s) + 5*k(s). Let b be t(9). Differentiate -9*g + 0*g + 6 - 1 + b*g wrt g.
-2
Let w(c) be the second derivative of c**8/84 + c**4/12 - 2*c**2 - 4*c. Let j(z) be the first derivative of w(z). What is the second derivative of j(o) wrt o?
80*o**3
Let r(q) be the first derivative of q**3/3 - 15*q**2/2 + 23*q - 10. Differentiate r(k) wrt k.
2*k - 15
Let r(s) = -s**2 - 10*s + 3. Let l be (22 - 7)*4/(-6). Let f be r(l). Find the second derivative of -17*k**3 - 3*k**2 + 3*k**2 + k + 16*k**f wrt k.
-6*k
Suppose 5*t - 3*g + g - 14 = 0, -3*t = -5*g + 3. What is the first derivative of 0 + 0 - l**t + 2 wrt l?
-4*l**3
Let y(f) be the first derivative of 0*f + 0*f**4 - 2/3*f**3 - 1 + 0*f**2 + 1/2*f**6 + 0*f**5. What is the third derivative of y(c) wrt c?
180*c**2
What is the third derivative of 4*q**5 - 191*q**2 + 193*q**2 + 30 + 2*q**6 + 2*q**6 wrt q?
480*q**3 + 240*q**2
Suppose -20 = -5*j - 0. Find the second derivative of -g + j*g + 5*g**2 - 2*g**2 wrt g.
6
Let i(u) be the second derivative of -6*u + 0*u**5 - 5/12*u**4 + 0*u**2 + 0 - 1/15*u**6 + 0*u**3. What is the third derivative of i(h) wrt h?
-48*h
Suppose 260 - 100 = 4*j. Find the third derivative of -a**2 + 8*a**3 + j*a - 40*a wrt a.
48
Differentiate -133 + 84 - 12*c - 2*c**3 + 42*c with respect to c.
-6*c**2 + 30
Suppose 0*q - 10 = -4*q + 2*d, -2*q = 5*d - 11. What is the second derivative of 2 - v - 2 - 3*v**q wrt v?
-18*v
Suppose -2 - 2 = -g. What is the second derivative of 19*p**4 + 0*p - 18*p**g + p wrt p?
12*p**2
Let j = 5 - 11. Let d(m) = m + 6. Let n be d(j). What is the derivative of -4*y - 1 + n*y + y wrt y?
-3
Let p(g) = 14*g**5 - 11*g**4 - 16*g - 11. Let y(x) = 3*x**5 - 2*x**4 - 3*x - 2. Let k(n) = -2*p(n) + 11*y(n). What is the second derivative of k(w) wrt w?
100*w**3
Let w(p) = -p**2 + p - 1. Suppose -3*c + 7 = -c + 3*k, 0 = 2*c + k - 9. Let t(n) = -7*n**2 + 5*n. Let y(q) = c*w(q) - t(q). Differentiate y(b) wrt b.
4*b
Let k(c) = 8*c**6 - c**5 - 4*c**2 + 2*c - 1. Let r(w) = w**6 + w**5 - w + 1. Let u(s) = -k(s) - r(s). What is the third derivative of u(q) wrt q?
-1080*q**3
Let k(y) = y. Suppose 3*x + 4*s - 9 = 2*x, 3*x + s = 5. Let a(b) = 2*b + 2. Let p(i) = x*k(i) - a(i). Differentiate p(v) with respect to v.
-1
Let p(t) be the first derivative of -11*t**2 - 11*t - 13. What is the first derivative of p(i) wrt i?
-22
Let a(g) be the first derivative of -5/6*g**6 + 0*g**3 + 0*g**4 - 1/2*g**2 - 3 + 0*g**5 + 0*g. What is the second derivative of a(o) wrt o?
-100*o**3
Find the third derivative of -c**2 + c**3 - 5*c**2 + c**3 wrt c.
12
Let b be 26/4 + 15/(-6). Let r(x) be the first derivative of -1/3*x**6 + 0*x**5 + 0*x**b + 0*x**2 + 0*x + 2/3*x**3 - 2. Find the third derivative of r(y) wrt y.
-120*y**2
Find the second derivative of -8*q**4 - q - q**4 + 11*q**4 wrt q.
24*q**2
What is the second derivative of -26*p**5 + 49*p**3 - 33*p - 24*p**3 - 25*p**3 wrt p?
-520*p**3
Let b(w) be the third derivative of w**8/1680 - w**4/4 - 2*w**3/3 + w**2. Let t(i) be the first derivative of b(i). Find the first derivative of t(y) wrt y.
4*y**3
Let p(x) = -x + 4. Let r be p(7). Let s be 6/4 - r/6. Find the second derivative of s*w**3 - 2*w**3 + 2*w**3 - 5*w**3 - 3*w wrt w.
-18*w
Suppose 2*d - 10 = 2*f, 0 = 4*d + f - 5 - 5. What is the third derivative of 0*h**2 - 3*h**d + h**2 - 4*h**2 + 0*h**3 wrt h?
-18
Let h(p) = 18*p**5 - 3*p**4 + 9*p**2. Let t(v) = 18*v**5 - 4*v**4 + 8*v**2. Let w(a) = 4*h(a) - 3*t(a). Find the third derivative of w(b) wrt b.
1080*b**2
Let c(z) be the second derivative of z**6/5 + 10*z**2 - 6*z. What is the first derivative of c(u) wrt u?
24*u**3
Let c(y) be the first derivative of 0*y - 3/2*y**2 + 0*y**3 - 2 - 3/4*y**4. What is the second derivative of c(w) wrt w?
-18*w
Suppose -x - 2 + 6 = 0. What is the second derivative of -d**2 + 4*d**2 - x*d + 0*d**2 wrt d?
6
Suppose 2*k + k - 6 = 0. Find the second derivative of 5*i + i**5 - 9*i**2 + 9*i**k wrt i.
20*i**3
Let j be (-34)/(-8) - (-2)/(-8). Find the third derivative of -2*h**5 + j*h**4 - h**2 - 4*h**4 - h**2 wrt h.
-120*h**2
Let q(y) be the second derivative of y**9/3024 - y**5/120 - y**3/6 - y. Let m(x) be the second derivative of q(x). What is the second derivative of m(l) wrt l?
20*l**3
Let g(j) = 1. Let m(u) be the third derivative of -u**5/60 + 13*u**3/6 - 6*u**2. Let v(q) = -5*g(q) + m(q). What is the derivative of v(s) wrt s?
-2*s
Find the second derivative of -9*h**3 + 13*h - h**3 - 11*h - 3*h**3 wrt h.
-78*h
Suppose 16 = 6*p - 2*p. What is the third derivative of -p*o**2 - o**6 + o**2 + 3*o**6 wrt o?
240*o**3
Let n(i) be the third derivative of 3*i**6/40 + 7*i**4/8 - 2*i**2. What is the second derivative of n(t) wrt t?
54*t
Let v be -4 - -3 - (1 + 1). Let n(h) = -h. Let s be n(v). Find the third derivative of -3*x**4 - s*x**2 + 3*x**4 + x**5 wrt x.
60*x**2
Let s = 6 - 3. Find the first derivative of 2*x**4 - s*x**4 - 2 - 2 - 1 wrt x.
-4*x**3
Let k be (-22)/(-4) + 2/(-4). Differentiate -3 + t + k - 2*t + 1 with respect to t.
-1
Let f(g) be the first derivative of g**5/24 + 7*g**4/24 - 7*g**3/3 + 2. Let n(b) be the third derivative of f(b). Find the first derivative of n(p) wrt p.
5
Let i(u) be the first derivative of -10*u**3/3 - 5*u**2 - 8. Find the second derivative of i(p) wrt p.
-20
Let l(z) be the second derivative of -13*z**5/10 - z**4/12 + 2*z. Find the third derivative of l(r) wrt r.
-156
Let l(j) = 7*j**2 - 22. Let r(p) = 20*p**2 - 66. Let s(g) = -11*l(g) + 4*r(g). What is the first derivative of s(m) wrt m?
6*m
Let q(m) be the second derivative of -m**6/6 - 13*m**4/12 - 20*m. What is the third derivative of q(f) wrt f?
-120*f
Suppose -2*r - 4*c - 8 = -c, c = -2*r. Suppose -r*x + x + 8 = -3*y, 0 = 5*x - 4*y - 18. What is the first derivative of -x - 4*a + a**3 + a + 3*a wrt a?
3*a**2
Let y(r) = r**5 - r**3 - r**2 - r - 1. Let w(o) = -12*o**5 + 5*o**3 + 5*o**2 - 3*o + 5. Let x(j) = w(j) + 5*y(j). Find the second derivative of x(n) wrt n.
-140*n**3
What is the seco | {
"pile_set_name": "DM Mathematics"
} |
wo letters picked without replacement from {p: 9, k: 2, o: 5, n: 2}?
5/153
Two letters picked without replacement from {u: 6, o: 3, h: 1, z: 1, e: 2, j: 2}. Give prob of sequence hz.
1/210
Calculate prob of sequence effe when four letters picked without replacement from ffxefeeffofffemo.
1/65
Two letters picked without replacement from {t: 1, g: 7, d: 4, b: 2}. What is prob of sequence tb?
1/91
Four letters picked without replacement from {e: 1, n: 2, l: 2, k: 1, c: 1, o: 1}. Give prob of sequence ncln.
1/420
What is prob of sequence wiw when three letters picked without replacement from wwmwbbwmii?
1/30
Two letters picked without replacement from zzuzzzzz. Give prob of sequence zu.
1/8
What is prob of sequence ooor when four letters picked without replacement from ororororrroroooooror?
99/1292
Two letters picked without replacement from {h: 1, u: 3, t: 10, k: 1}. Give prob of sequence uh.
1/70
Calculate prob of sequence zct when three letters picked without replacement from {c: 9, l: 1, z: 1, t: 4}.
6/455
Calculate prob of sequence na when two letters picked without replacement from aooacrncanooraoroo.
4/153
Calculate prob of sequence tdtd when four letters picked without replacement from {t: 18, d: 2}.
1/190
Four letters picked without replacement from cboocbbcdc. Give prob of sequence dbbo.
1/420
Two letters picked without replacement from avnae. Give prob of sequence nv.
1/20
Two letters picked without replacement from kggkgkgllklg. Give prob of sequence ll.
1/22
What is prob of sequence qlz when three letters picked without replacement from lqlpiplzipe?
1/330
Two letters picked without replacement from szttwtwtwwzzszststw. Give prob of sequence tt.
5/57
Four letters picked without replacement from {w: 8, f: 6, z: 3}. Give prob of sequence zwzw.
1/170
Calculate prob of sequence iir when three letters picked without replacement from {i: 11, r: 3}.
55/364
Four letters picked without replacement from {g: 2, b: 2}. What is prob of sequence ggbb?
1/6
What is prob of sequence yy when two letters picked without replacement from {n: 1, y: 11}?
5/6
Four letters picked without replacement from {h: 6, v: 3, k: 6, q: 4}. What is prob of sequence qhhk?
5/646
Four letters picked without replacement from cgzpggggppcc. What is prob of sequence pzcg?
1/264
Calculate prob of sequence xyoy when four letters picked without replacement from xxyobyy.
1/70
What is prob of sequence wvto when four letters picked without replacement from {e: 2, t: 2, w: 3, o: 1, v: 12}?
1/1615
What is prob of sequence ylol when four letters picked without replacement from {o: 2, f: 2, y: 2, j: 8, l: 2}?
1/5460
What is prob of sequence rrz when three letters picked without replacement from {x: 2, r: 2, n: 1, z: 4, s: 3}?
1/165
Four letters picked without replacement from vzzzvzzggzgz. Give prob of sequence vzzg.
7/330
Two letters picked without replacement from jjjjjjyyjjj. What is prob of sequence yy?
1/55
What is prob of sequence za when two letters picked without replacement from {x: 3, z: 2, a: 10, q: 5}?
1/19
Two letters picked without replacement from nenjnsnnnpnennnp. Give prob of sequence pn.
1/12
Two letters picked without replacement from {s: 3, j: 1, o: 2, c: 1, x: 1, g: 8}. What is prob of sequence gc?
1/30
What is prob of sequence yyuu when four letters picked without replacement from {u: 2, g: 1, y: 2}?
1/30
Two letters picked without replacement from {g: 1, m: 1, l: 1}. Give prob of sequence lm.
1/6
Three letters picked without replacement from gurggrgrgggargg. What is prob of sequence ugr?
6/455
Two letters picked without replacement from {z: 1, e: 1, a: 1, v: 1, j: 1}. What is prob of sequence za?
1/20
What is prob of sequence qgag when four letters picked without replacement from {g: 3, a: 3, q: 13}?
13/5168
What is prob of sequence mw when two letters picked without replacement from {m: 3, x: 7, k: 3, w: 1}?
3/182
Calculate prob of sequence hii when three letters picked without replacement from {i: 7, h: 3}.
7/40
Three letters picked without replacement from lwrocggwl. What is prob of sequence wcg?
1/126
Four letters picked without replacement from eeewegwgge. Give prob of sequence ewge.
1/42
Two letters picked without replacement from {g: 1, r: 4, l: 1, a: 6, j: 3}. What is prob of sequence ga?
1/35
What is prob of sequence nx when two letters picked without replacement from xxnxnnxxxnx?
14/55
Three letters picked without replacement from yayayyyyaa. Give prob of sequence aaa.
1/30
Two letters picked without replacement from {e: 3, d: 4, c: 9}. What is prob of sequence dc?
3/20
What is prob of sequence www when three letters picked without replacement from vwvwwww?
2/7
Four letters picked without replacement from {w: 4, p: 1, r: 2, i: 2, x: 3, m: 2}. Give prob of sequence miix.
1/2002
Calculate prob of sequence fr when two letters picked without replacement from {r: 2, f: 8}.
8/45
Calculate prob of sequence jh when two letters picked without replacement from {c: 1, r: 1, j: 2, m: 1, a: 1, h: 1}.
1/21
Three letters picked without replacement from {g: 10, n: 2}. Give prob of sequence nng.
1/66
Three letters picked without replacement from {v: 1, z: 2, c: 1}. What is prob of sequence vzz?
1/12
Four letters picked without replacement from kkkeerrek. Give prob of sequence keee.
1/126
Calculate prob of sequence rh when two letters picked without replacement from wwddhwhrrudwudehddw.
1/57
What is prob of sequence ii when two letters picked without replacement from xxxixxxixxxxxxxixxxi?
3/95
Calculate prob of sequence prpz when four letters picked without replacement from {p: 2, k: 8, r: 4, z: 1}.
1/4095
Four letters picked without replacement from tbbbbpfbb. What is prob of sequence bbtb?
5/126
Three letters picked without replacement from nnnnnn. Give prob of sequence nnn.
1
What is prob of sequence byyo when four letters picked without replacement from {b: 1, v: 2, q: 2, o: 1, y: 12}?
11/6120
Three letters picked without replacement from {j: 4, d: 2, r: 1, v: 3, s: 1}. Give prob of sequence vds.
1/165
What is prob of sequence lwx when three letters picked without replacement from {w: 2, z: 1, x: 1, l: 2, c: 1, a: 2}?
1/126
What is prob of sequence edz when three letters picked without replacement from eeoffzffnfddd?
1/286
Calculate prob of sequence xx when two letters picked without replacement from {h: 1, j: 2, x: 4, l: 4}.
6/55
Three letters picked without replacement from wwwwwqhhqqwhhwhqhqwh. What is prob of sequence wqh?
7/171
Three letters picked without replacement from eflle. Give prob of sequence lfl.
1/30
Calculate prob of sequence aa when two letters picked without replacement from {a: 7, k: 3}.
7/15
What is prob of sequence rrrr when four letters picked without replacement from {f: 5, r: 8, s: 7}?
14/969
Two letters picked without replacement from jyvmejv. What is prob of sequence jy?
1/21
What is prob of sequence yxy when three letters picked without replacement from {y: 2, x: 1}?
1/3
Calculate prob of sequence izu when three letters picked without replacement from {w: 1, i: 1, p: 1, u: 1, z: 1}.
1/60
Three letters picked without replacement from cdddcddddddddddddddd. What is prob of sequence dcc?
1/190
Calculate prob of sequence usu when three letters picked without replacement from ssssssussssu.
1/66
Two letters picked without replacement from licne. Give prob of sequence ec.
1/20
What is prob of sequence wu when two letters picked without replacement from wuwo?
1/6
Calculate prob of sequence mkt when three letters picked without replacement from {t: 1, k: 11, j: 3, r: 1, m: 3}.
11/1938
Calculate prob of sequence mmnm when four letters picked without replacement from mnnmmmmmmmmmnmmmnmmn.
455/3876
Two letters picked without replacement from {e: 3, s: 4}. What is prob of sequence ss?
2/7
Three letters picked without replacement from {n: 9, k: 2, i: 3, j: 4}. What is prob of sequence inj?
3/136
Calculate prob of sequence iv when two letters picked without replacement from {i: 4, v: 2}.
4/15
What is prob of sequence erbe when four letters picked without replacement from {r: 2, b: 3, c: 13, e: 2}?
1/9690
What is prob of sequence dcc when three letters picked without replacement from {d: 17, c: 3}?
17/1140
Two letters picked without replacement from {a: | {
"pile_set_name": "DM Mathematics"
} |
+ 3 = 0. What is the second smallest value in f, 2, p?
f
Suppose 3*u = -14 + 5. What is the fourth biggest value in 3, -7, 0.3, u?
-7
Let j = 2.7 + 0. Let f = j - 3. Let s be (-1)/(-2) + 5/(-15). What is the third smallest value in f, s, 4/5?
4/5
Let f = 20 - 24.4. Let b = f + 4. Let l = 2 + -6. What is the second biggest value in b, 2/7, l?
b
Let x be (-259)/154 + 4/22. Let b be 12*((-159)/30 - 0). Let o = b + 64. What is the biggest value in o, 0.1, x?
o
Let m = -0.6 + 0.9. Let s = 276.5 - 277. Which is the third smallest value? (a) s (b) m (c) -2
b
Let m = 63 - 63.04. Which is the second biggest value? (a) 0 (b) -1 (c) m (d) 0.05
a
Let n be 4/16 + 73/(-4). Let u be 6/n*(1 + -1). Suppose u = -p - 2*f - 10, -p - 4*p = -5*f + 5. Which is the second biggest value? (a) 0.2 (b) p (c) 4
a
Let y be (6/(-15))/(1 + -2). Let v be (9/6 - 2)*1. Which is the second smallest value? (a) y (b) -1/3 (c) v
b
Let z = 34.9 - 34.94. Suppose -3*l - 5 = -n, -2*l - 3*n - 6 = -4*l. What is the smallest value in z, -0.4, l?
l
Let x = 2.1 + -2.42. Let z = 0.02 + x. Let h = 4 - 1. What is the second smallest value in -3/8, h, z?
z
Suppose -4*s = g - 1, 4*s - 4*g - 5 = -9*g. Let w be s + 2 + (-12)/5. Let m = 0.46 - -0.04. Which is the third smallest value? (a) 4 (b) m (c) w
a
Suppose 21 = -5*k + 31. What is the fourth smallest value in 1, 12, -5, k?
12
Let p = -6 - -5.7. Let v = -28 - -29. What is the second biggest value in v, -2, p?
p
Let v = 0.1 - 4.1. Let u = -8.16 + 8. Let r = -0.04 + u. Which is the smallest value? (a) v (b) -5 (c) r
b
Let n = -0.2 + 1.2. What is the second biggest value in n, 2, 4?
2
Suppose -4*f + 7 = -1. Suppose 0 = -f*d + 8. Which is the smallest value? (a) 0 (b) d (c) 4/5
a
Let h = 0.5 - 0.75. Let x = h - -0.05. Which is the smallest value? (a) -0.3 (b) x (c) -0.1
a
Let q = -0.37 + 0.4. Let l = q + -0.23. What is the third biggest value in l, 2, 0.3?
l
Let m be (-1)/(-1) - (-42)/8. Let y = 383/60 - m. Which is the biggest value? (a) -0.5 (b) y (c) -0.1
b
Suppose -2*l + 9 = 19. What is the second smallest value in l, -1/7, -1.1?
-1.1
Let r = 4 - 7. Let f = 115 - 105.8. Let k = -9 + f. Which is the second biggest value? (a) -1 (b) k (c) r
a
Let u = -47 + 51. Suppose -a = -2*p + 13, -5*a - 3*p = -p + 17. Let h be (-2)/a*(-10)/(-16). What is the third smallest value in h, 0.4, u?
u
Let b be 25/30*(-22)/(-5) - 3. What is the third smallest value in -1, 0.5, b?
b
Let h = -5 + 5.1. Let q = -0.6 + h. Which is the second biggest value? (a) q (b) 0.5 (c) -2/3
a
Let q = 0.12 - 7.12. Let i = q - -11. Which is the biggest value? (a) -2 (b) -0.3 (c) i
c
Let n be -6 + 0 + 0 + -2 + 1. What is the third smallest value in -3, n, 0.4?
0.4
Let v = -6 - -8. Let b be 1/((-10)/9) + 1. What is the third biggest value in -0.3, v, b?
-0.3
Let q be 6/12 - 946/(-20). Let z = q + -48. What is the second biggest value in 1/5, z, 1?
1/5
Suppose -x - 24 = -3*g, -4*x = -2*g + x + 3. What is the third smallest value in -0.1, 3, g?
g
Let x = -2 + -3. Which is the biggest value? (a) 1/2 (b) x (c) -36 (d) -1/3
a
Let v = 23 + -91/4. Let w = 26 - 23. Which is the biggest value? (a) 2 (b) v (c) w
c
Let c = 0.19 + 0.31. What is the second biggest value in -0.4, 3, c?
c
Suppose -x - o - 1 = o, -5*o = -4*x - 17. Which is the third smallest value? (a) 4 (b) 0 (c) x
a
Let d = 0.1 + -0.6. Let a = -111 - -111. What is the biggest value in -3, d, a?
a
Suppose 0 = -2*j - 6, -2*k = 5*j + 7 + 2. Let q = 3 + -8. What is the third biggest value in q, k, 0.04?
q
Let d = 3/5 - 2/5. What is the third biggest value in -0.01, d, -0.2, 2/21?
-0.01
Let x = 4 - 3. Let l = -3.8 + 4.1. What is the third biggest value in l, 4, x?
l
Let l = -30 + 30.34. Let t = l + -0.4. Which is the smallest value? (a) t (b) 1 (c) -1/10
c
Let w = -22 - -26. Which is the third smallest value? (a) -1/5 (b) 1/7 (c) 5 (d) w
d
Suppose 0 = -x - x + h - 3, 2*x + 3*h = -23. What is the third biggest value in -0.05, 1, x?
x
Suppose 0 = -4*p + 2 + 178. Let z = p + -136/3. Which is the second smallest value? (a) 4 (b) z (c) -0.1
c
Let r = -0.8 - -2.3. Let p = r - 1. Let b be 2*(0 - (-10)/12). What is the second biggest value in b, p, 0.4?
p
Let u = 45 + -10. Let o be 3/(-1) + u/15. Suppose 2*n + 2 = 5*n + 2*k, 0 = -n + k + 9. Which is the second biggest value? (a) o (b) 2 (c) n
b
Let w be 0 + (-1 + 3 - 4). Let i = 0.09 + -0.19. What is the third smallest value in w, i, 3?
3
Let d(i) = -2*i**2 - 4*i + 1. Let z be d(-3). Let h = 25.95 + 0.05. Let u = h + -24. Which is the third biggest value? (a) u (b) 0.2 (c) z
c
Let t = -23 - -23.32. Let d = 0.22 - t. Suppose -4*f - 22 = z, 5*z - 5 = -3*f + 6*f. Which is the smallest value? (a) z (b) d (c) -4
c
Let q = 2.8 - -0.2. Let g = 0.9 - 2.9. Which is the biggest value? (a) q (b) 0.4 (c) g
a
Let n = -0.035 + 0.005. Which is the second biggest value? (a) n (b) 0.3 (c) -1
a
Let n = -5 - -9. Let l = -0.3 + -1.7. Let w = l - -2.4. What is the third smallest value in w, 0.5, n?
n
Let q = 130/3 + -44. What is the biggest value in q, -4, -1/10?
-1/10
Let g be ((-4)/18)/(-2 + 3). What is the smallest value in -0.2, g, 1, -5?
-5
Let x be -2 - (-8 + 2 + 0). Suppose -x = -2*w + w. Suppose 0 = 3*o + o - w. What is the third biggest value in o, 0.3, -3?
-3
Let h be (4/18)/((-60)/(-9) + -5). What is the second smallest value in 1, 1/2, h?
1/2
Let w = -8.84 + -0.16. Let h = -8 - w. Let u = -352/1665 - 2/185. What is the smallest value in u, h, 4?
u
Let w be (-22)/(-231) + (-2)/(-6). Which is the biggest value? (a) w (b) -0.5 (c) -1
a
Let r be -1 - 2 - (-7 + 5). Let v be ((-110)/(-3))/(r/3). Let c be -2 - (v/(-12))/(-5). What is the biggest value in c, -3, -0.5?
c
Let v = 121 - 123. Let t = 0 - 0.1. Let y = 7 + -12. Which is the smallest value? (a) v (b) t (c) y
c
Let o = -7/3 - -2. Which is the third smallest value? (a) 0 (b) 0.2 (c) o (d) 5
b
Suppose -3*l - 4*u = 64, -3*l + 2*u - 78 = l. Let o be 31/4 + (-5)/l. Let f = o + -5. Which is the smallest value? (a) -3 (b) 2 (c) f
a
Let n = 4/3 - 23/24. Let o = -0.023 + -4.977. What is the third biggest value in -0.3, o, n?
o
Let y = 13/9 - 74/45. What is the smallest value in y, -2, 0, -0.1?
-2
Let r = -14.7 - -19. Let z = 0.3 - r. Which is the second biggest value? (a) z (b) -2 (c) 3
b
Let a be (-8)/(-16)*-10*(-2)/(-2). What is the third biggest value in 0.2, a, -3?
a
Let p = -742/5 + 149. Let h = -10 - -13.5. Let g = h - 3. Which is the second biggest value? (a) -3 (b) g (c) p
b
Let x = -0.1 - -0.6. Let h = -3.5 - x. Let g = 0.2 - -0.3. Which is the third smallest value? (a) -5 (b) h (c) g
c
Let h = -559/77 + 47/7. Which is the second smallest value? (a) 1/6 (b) h (c) -1/4
c
Let m be 4/(-3)*45/(-100). Which is the fourth biggest value? (a) -4 (b) 2 (c) -1 (d) m
a
Suppose -7*o - 5 = 16. Which is the biggest value? (a) 0 (b) o (c) 1 (d) -2
c
Let v(u) = u**2 - 4*u - 1. Let s be v(3). Let o = s + 6. Let z = -359/5 - -72. What is the third biggest value in o, z, 1?
z
Let a = -0.3 - -1.3. Let r = 2.9 + 1.1. Let t = a - r. What is the biggest value in -2, 3, t?
3
Let a = -97/2 + 1655/34. What is the third biggest value in 0.1, a, 4, 1/2?
a
Let h be (-2)/3*(2 + 0). Let w = 9 + -8.5. Let g = -0.1 + w. What is the second smallest value in h, g, 2/7?
2/7
Let y = -0.5 - -15.5. What is the smallest value in -0.2, y, -1?
-1
Let z be ((0 + -2)/6)/((-84)/18). What is the second biggest value in -0.1, -0.2, z?
-0.1
Let n = 4/55 + 373/165. Let k = n - 8/3. Which is the second smallest value? (a) -0.3 (b) k (c) 0.2
a
Let m = 0.6 + -0.53. Let z = m - -2.93. Let o = -10 - -67/7. Which is the smallest value? (a) z (b) o (c) 0
b
Let h be 1 + 0 + (-8)/12. Let i = 42 + -47. Which is the third smallest value? (a) i (b) h (c) -2/3
b
Let o = 0.155 + 0.045. Which is the biggest value? (a) -0.3 (b) o (c) -4 (d) -0.5
b
Let s be 1*(-5)/110*4. Which is the third smallest value? (a) s (b) 2/17 (c) 2/7
c
Let h be (-4)/(-20)*(4 + 3/(-1)). Let m = -1 + 2. Which is the biggest value? (a) -1 (b) m (c) h
b
Let c(b) be the first derivative of -b**2/2 + 4*b - 4. Suppose 0*r - 3*r = -12. Let p be c(r). What is the third biggest value in -4, 1, p?
-4
Let u be (-12)/21*(-4 - ( | {
"pile_set_name": "DM Mathematics"
} |
314150?
True
Does 151 divide 14818521?
False
Is 2 a factor of 2911513?
False
Is 14 a factor of 436758?
True
Is 41553 a multiple of 81?
True
Does 431 divide 545646?
True
Does 4 divide 729?
False
Is 275680 a multiple of 16?
True
Is 286 a factor of 13367354?
True
Is 351992 a multiple of 135?
False
Is 511475 a multiple of 41?
True
Is 447 a factor of 3473496?
False
Is 86 a factor of 297388?
True
Is 170266 a multiple of 56?
False
Is 63756 a multiple of 50?
False
Is 15 a factor of 15735?
True
Is 12 a factor of 20407?
False
Is 31 a factor of 258044?
True
Is 4755651 a multiple of 249?
True
Is 8 a factor of 18229?
False
Is 57 a factor of 463695?
True
Is 1618219 a multiple of 106?
False
Is 98 a factor of 304413?
False
Does 17 divide 232662?
True
Is 17 a factor of 6960514?
True
Is 504888 a multiple of 654?
True
Is 51380 a multiple of 276?
False
Does 59 divide 118?
True
Is 1234107 a multiple of 525?
False
Is 2 a factor of 163033?
False
Is 292609 a multiple of 90?
False
Is 176 a factor of 6173200?
True
Does 21 divide 6173475?
True
Does 80 divide 36914?
False
Is 1082916 a multiple of 2?
True
Is 173738 a multiple of 248?
False
Is 2 a factor of 2983?
False
Is 690448 a multiple of 293?
False
Is 5 a factor of 102278?
False
Is 582625 a multiple of 395?
True
Does 378 divide 75978?
True
Does 72 divide 3900744?
True
Is 16819 a multiple of 4?
False
Is 10 a factor of 14940?
True
Is 227940 a multiple of 263?
False
Is 2765 a factor of 20812155?
True
Is 401420 a multiple of 20?
True
Does 141 divide 3629199?
True
Does 9 divide 58358?
False
Does 23 divide 98693?
True
Is 9 a factor of 2333204?
False
Does 7 divide 101159?
False
Does 9 divide 127883?
False
Does 96 divide 3936?
True
Does 12 divide 1073500?
False
Is 109 a factor of 5004590?
False
Is 55096 a multiple of 97?
True
Does 209 divide 2361491?
True
Does 13 divide 13260?
True
Is 65 a factor of 5832114?
False
Is 15 a factor of 2648036?
False
Is 6 a factor of 1544609?
False
Is 82 a factor of 250096?
False
Is 143 a factor of 5325892?
True
Is 10 a factor of 7210?
True
Is 84842 a multiple of 14?
False
Is 50 a factor of 4850150?
True
Is 128 a factor of 615875?
False
Is 9 a factor of 5428184?
False
Is 305 a factor of 233935?
True
Is 262080 a multiple of 117?
True
Does 98 divide 53116?
True
Does 27 divide 5255848?
False
Does 14 divide 2811242?
True
Is 8 a factor of 592632?
True
Is 3 a factor of 827073?
True
Is 56 a factor of 167678?
False
Is 150 a factor of 21114?
False
Does 11 divide 566840?
False
Is 455598 a multiple of 547?
False
Is 230 a factor of 1491320?
True
Is 22464 a multiple of 17?
False
Is 189 a factor of 564441?
False
Is 17 a factor of 14055?
False
Is 3719397 a multiple of 92?
False
Is 5 a factor of 56468?
False
Does 21 divide 1771938?
True
Is 145 a factor of 89209?
False
Does 11 divide 222692?
False
Does 77 divide 342900?
False
Does 95 divide 63080?
True
Is 1834890 a multiple of 15?
True
Is 1609801 a multiple of 24?
False
Is 234347 a multiple of 529?
True
Is 756 a factor of 223020?
True
Is 122 a factor of 1069393?
False
Does 153 divide 170442?
True
Is 31738932 a multiple of 18?
True
Is 23 a factor of 297751?
False
Does 65 divide 144170?
True
Does 10 divide 124969?
False
Is 426777 a multiple of 403?
True
Does 115 divide 94695?
False
Does 88 divide 3882032?
True
Is 7218107 a multiple of 13?
True
Is 42 a factor of 573263?
False
Is 1391167 a multiple of 907?
False
Does 20 divide 4777676?
False
Is 59776 a multiple of 467?
True
Is 114 a factor of 353742?
True
Is 31 a factor of 189565?
True
Is 1226 a factor of 7168351?
False
Is 277 a factor of 7196737?
True
Is 564 a factor of 1653648?
True
Is 23 a factor of 418025?
True
Is 16 a factor of 1265739?
False
Does 6 divide 35531?
False
Does 10 divide 2383490?
True
Is 258948 a multiple of 36?
True
Is 7659809 a multiple of 107?
True
Does 52 divide 1427348?
True
Is 166597 a multiple of 571?
False
Is 209 a factor of 2232133?
False
Is 167 a factor of 11999?
False
Is 2500576 a multiple of 552?
False
Does 127 divide 282321?
True
Does 46 divide 3029422?
True
Is 116021 a multiple of 5?
False
Does 1747 divide 12597650?
False
Does 4 divide 7386116?
True
Does 24 divide 2683728?
True
Is 70922 a multiple of 22?
False
Is 5270736 a multiple of 24?
True
Does 61 divide 9204351?
True
Is 7 a factor of 376271?
True
Is 44 a factor of 9422813?
False
Does 10 divide 36910?
True
Does 152 divide 147440?
True
Does 578 divide 1516094?
True
Does 19 divide 4947751?
False
Is 196900 a multiple of 10?
True
Is 29 a factor of 368242?
True
Is 116 a factor of 251948?
False
Does 12 divide 174816?
True
Is 8555616 a multiple of 183?
True
Is 217 a factor of 622662?
False
Does 62 divide 676296?
True
Is 731 a factor of 1267668?
False
Is 1129953 a multiple of 353?
True
Does 235 divide 823332?
False
Is 62928 a multiple of 207?
True
Is 266938 a multiple of 46?
True
Is 10 a factor of 24490?
True
Is 16939460 a multiple of 297?
False
Is 37975 a multiple of 155?
True
Is 250274 a multiple of 95?
False
Is 770 a factor of 11064378?
False
Is 716901 a multiple of 20?
False
Does 8 divide 26498?
False
Does 200 divide 134382?
False
Is 47693 a multiple of 5?
False
Is 26620 a multiple of 110?
True
Is 357510 a multiple of 170?
True
Is 8 a factor of 772305?
False
Is 5039400 a multiple of 925?
True
Is 16 a factor of 357997?
False
Is 34650 a multiple of 21?
True
Is 463 a factor of 357414?
False
Is 28457 a multiple of 7?
False
Is 118 a factor of 167678?
True
Does 14 divide 163018?
False
Is 11 a factor of 357303?
False
Is 12313 a multiple of 38?
False
Is 7 a factor of 373282?
True
Is 202 a factor of 17865688?
True
Is 14 a factor of 255374?
True
Is 16 a factor of 66720?
True
Is 162 a factor of 79721?
False
Is 18 a factor of 22842?
True
Is 5 a factor of 5865?
True
Is 6361 even?
False
Does 53 divide 81567?
True
Is 7 a factor of 2142567?
True
Is 35394 a multiple of 17?
True
Does 23 divide 4925728?
False
Is 74 a factor of 71175?
False
Is 651068 a multiple of 98?
False
Is 257637 a multiple of 547?
True
Does 39 divide 3624738?
True
Does 192 divide 40896?
True
Does 113 divide 2132?
False
Is 10547389 a multiple of 812?
False
Does 11 divide 3182880?
False
Does 423 divide 1785641?
False
Is 1349854 a multiple of 11?
True
Is 64 a factor of 1764227?
False
Does 9 divide 4665642?
False
Does 126 divide 286641?
False
Does 38 divide 49102?
False
Does 4 divide 346483?
False
Is 18398380 a multiple of 19?
False
Does 3 divide 640469?
False
Is 35 a factor of 930904?
False
Is 2 a factor of 1884?
True
Does 109 divide 153799?
True
Is 24 a factor of 7790808?
True
Is 47 a factor of 21961737?
True
Is 18072 a multiple of 12?
True
Is 117257 a multiple of 60?
False
Is 1323080 a multiple of 341?
True
Is 101 a factor of 2142621?
False
Is 8589318 a multiple of 787?
True
Does 17 divide 2896948?
False
Is 41 a factor of 49856?
True
Is 107 a factor of 3186?
False
Does 22 divide 7313106?
False
Is 1038206 a multiple of 13?
True
Does 15 divide 3485999?
False
Does 104 divide 459888?
True
Is 422 a factor of 2017007?
False
Is 553974 a multiple of 34?
False
Is 1691936 a multiple of 4?
True
Is 27 a factor of 654133?
False
Does 28 divide 2581445?
False
Does 886 divide 894860?
True
Does 41 divide 13726718?
True
Does 38 divide 369626?
True
Is 6288505 a multiple of 19?
False
Does 105 divide 835800?
True
Is 25 a factor of 22934211?
False
Is 340 a factor of 519365?
False
Is 33 a factor of 23794?
False
Is 352 a factor of 2987745?
False
Is 26560 a multiple of 415?
True
Is 10706773 a multiple of 11?
True
Does 14 divide 86475?
False
Does 51 divide 164161?
False
Does 20 divide 1805340?
True
Does 315 divide 499323?
False
Is 3782617 a multiple of 11?
False
Is 158 a factor of 144246?
False
Does 132 divide 215999?
False
Is 3 a factor of 23698?
False
Is 38499 even?
False
Is 2878011 a multiple of 27?
True
Does 2 divide 70605?
False
Is 20730722 a multiple of 142?
True
Is 359 a factor of 1390944?
False
Is 1151261 a multiple of 353?
False
Is 76247 a multiple of 5?
False
Is 10659999 a multiple of 147?
True
Is 230243 a multiple of 13?
True
Does 104 divide 9728417?
False
Is 1453513 a multiple of 9?
False
Does 26 divide 67927?
False
Is 6 a factor of 9459?
False
Is 1692764 a multiple of 508?
False
Is 344981 a multiple of 486?
False
Is 522474 a multiple of 53?
True
Is 19 a factor of 1596659?
False
Does 18 divid | {
"pile_set_name": "DM Mathematics"
} |
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