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t n(a) be the second derivative of a**3/2 - 8*a**2 - 12*a. Let u be n(7). Suppose -u*c + 74 = -31. What is the remainder when 62 is divided by c?
20
Let b = -1247 + 1250. Calculate the remainder when 91 is divided by b.
1
Let c(w) = 560*w**2 + 3*w - 6. Calculate the remainder when c(1) is divided by 179.
20
Let k(c) = -5*c + 5*c + c + 7. Let a be k(-3). Suppose -5*n = -13 + 3, -o = -5*n + a. Calculate the remainder when 27 is divided by o.
3
Suppose 6040 = 65*l - 67280. What is the remainder when l is divided by 21?
15
Suppose 2*s - 64 = 5*l, -s + 3*s + 5*l = 24. Suppose -57 = -7*v - 1. Suppose v*z - 77 = 19. What is the remainder when s is divided by z?
10
Suppose 12 = 4*i + 5*u - 13, -4*i + 5*u + 15 = 0. Suppose -4*d = d + i, -3*j = d - 11. Let v(g) = -g + 6. Calculate the remainder when v(-6) is divided by j.
0
What is the remainder when (12/(-30))/(-1 + (1 - (-3)/(-8595))) is divided by 128?
122
Suppose 6*q - q = 2*p + 381, -2*q - 4*p + 162 = 0. Calculate the remainder when q is divided by 28.
21
Suppose 5*b + 4*q - 17990 = 10079, 0 = b + 4*q - 5617. What is the remainder when b is divided by 14?
13
Suppose 3*z + 2*z - 16 = w, -8 = -4*z + 2*w. Suppose 10*q - 126 = z*q. What is the remainder when 124 - (2 - 2/2) is divided by q?
18
Let g be -1 + (-6 - -4) - -3. Suppose 3*h = 4*p - 5, 4*p = h - g*h + 15. Suppose -p*c = 4 - 34. What is the remainder when 42 is divided by c?
0
Let m = -69 + 81. Let d be -3*8/m - 0. Calculate the remainder when 63 is divided by (1 - (-4 - d))*11/3.
8
Suppose 0 = -89*w + 95*w - 4440. Calculate the remainder when w is divided by 148.
0
Suppose 6*l = 3*o + 4*l - 1640, o + 3*l - 543 = 0. Let x = -299 + o. What is the remainder when x is divided by 25?
22
Let a = -2092 + 2114. What is the remainder when 33 is divided by a?
11
Let v = -12 + 18. Calculate the remainder when ((-376)/(-4)*-1)/(-2) is divided by v/(-54)*-3*24.
7
Let p = -15 - -47. Let g(i) = -37*i - 27. Calculate the remainder when g(-4) is divided by p.
25
Suppose -4*c + 144 = 4*g, -5*g + 3*c = -78 - 62. What is the remainder when 1546 is divided by g?
27
Let m be 30/(-7) + -3*(-8)/84. Calculate the remainder when 59 is divided by (-3)/(36/(-116)) + m/6.
5
Calculate the remainder when 731 is divided by (-205)/(-10) - (-85)/34.
18
Let o(x) = -7*x**2 + 18*x - 3. Let j(i) = -i**2 + i - 1. Let y(w) = -6*j(w) + o(w). What is the remainder when 297 is divided by y(10)?
21
Suppose 3*z - 192 = -2*d + z, 4*d - 4*z = 360. Calculate the remainder when 1295 is divided by d.
86
Suppose -7*d + 9*d - 627 = m, 5*m = 2*d - 639. Suppose -14*r + d = -r. Calculate the remainder when (213/3*1)/1 is divided by r.
23
Suppose -12*u - 2184 = -31*u - 163*u. Let l = 245 - 150. What is the remainder when l is divided by u?
11
Suppose 3*n - 8*n + 95 = 0. Let p be ((-140)/84)/(((-2)/(-21))/(-2)). Suppose -55 = -9*d + p. What is the remainder when n is divided by d?
9
Let p = 13131 + -13059. Calculate the remainder when 1715 is divided by p.
59
Let c(w) = w**3 + 16 - 2238*w**2 - w**3 + 2*w - w**3 + 2235*w**2 + 8*w. What is the remainder when 41 is divided by c(-5)?
9
Let d(v) = v**2 - 3*v + 4. Suppose 1945 = 171*i - 8828. What is the remainder when i is divided by d(-4)?
31
Suppose 3606 + 118 = -14*t. Let f = -247 - t. Calculate the remainder when 170 is divided by f.
18
What is the remainder when 739 is divided by (80/30*18/60)/((-2)/(-85))?
25
Let v = 228 + -354. Let u = 136 + v. What is the remainder when 147 is divided by u?
7
Suppose -z + 222 = -990. Suppose 2*f = 14*f - z. What is the remainder when f is divided by 17?
16
Let l = -1462 + 1875. What is the remainder when l is divided by 136?
5
Suppose -50 = 59*w - 61*w. Let b = w - 13. Suppose 4*u + 8 = 0, 3*u - 126 = -2*g - g. Calculate the remainder when g is divided by b.
8
Suppose 194*z = 5*t + 199*z + 15, -5*t - 2*z - 24 = 0. Suppose -3*q = -27 + 6. What is the remainder when (-3)/18 + t + 1338/36 is divided by q?
3
Suppose 12*c = 7*c - 2*t + 213, -2*c + 2*t = -102. Calculate the remainder when 224 is divided by c.
44
Let c = 1499 - 1175. Calculate the remainder when c is divided by 135.
54
Suppose 0 = -5*h - 40, -62*h + 165 = 3*j - 59*h. Let v(f) = -f**3 + 5*f**2 + 9*f - 2. What is the remainder when j is divided by v(6)?
15
Let t = 40 + -23. What is the remainder when -12 + 10*(-1176)/(-105) is divided by t?
15
Suppose 4*c - 4 = 352. Suppose -116 = -11*t + 115. What is the remainder when c is divided by t?
5
Let y(q) = -931*q**3 + 4*q**2 + 1. Calculate the remainder when y(-2) is divided by 19.
17
Suppose 24 - 4 = -5*g, 3*n - 3*g = 12. Suppose 2*a = a + 600. Calculate the remainder when -1 + a/(4 + n) is divided by 25.
24
Let u be (-2)/(-5) + (-10)/((-300)/(-702)). Let y = u + 28. Suppose 5*s + 71 = 4*b - 65, -y*b = -3*s - 170. What is the remainder when b is divided by 5?
4
Suppose -p + 24 = 18. Let x be ((-406)/4)/(3/p - 1). Let l = -101 + x. What is the remainder when l is divided by 26?
24
Suppose -395 = -9*r + 2305. Suppose 0 = 6*b - r - 390. What is the remainder when b is divided by 39?
37
Suppose 320 = 3*n + 953. Let w = -149 - n. Calculate the remainder when 123 is divided by w.
61
Suppose -2687 - 457 = -3*v + 4*t, 4*v - 2*t - 4172 = 0. Calculate the remainder when v is divided by 128.
16
Suppose 4349 = 5*a - 2*z - 1985, 4*z = 5*a - 6338. What is the remainder when a is divided by 7?
6
Let r(b) = -4*b - 27. Let p(j) = 6*j + 26. Let v(i) = -3*p(i) - 4*r(i). Let c be v(-10). Calculate the remainder when 5/(c/965) - (-9)/6 is divided by 26.
20
Let u(x) = x**3 - 31*x**2 + 16*x + 558. What is the remainder when u(30) is divided by 96?
42
Let s(b) = -4*b**2 - 39*b - 15. Let i be s(-9). What is the remainder when -2 + 957/i - (-4)/16 is divided by 4?
2
Let p(m) = -7*m + 69. Suppose 2*r + 5*l = 40, -66 = -5*r + 3*l - 7*l. What is the remainder when p(6) is divided by r?
7
Let w be 1/(-4) + ((-2175)/(-12) - 1). Let o = 100 - w. Let u = o + 86. Calculate the remainder when 27 is divided by u.
3
Let g = -39 - -59. Suppose -5*d - 4*o = o + 5, 4*d - 6*o - 26 = 0. What is the remainder when g is divided by d?
0
Suppose 4838*d + 4200 = 5038*d. Calculate the remainder when (30/(-8))/(2/(-144)) is divided by d.
18
Let a(r) = -3 + 14 - r + 4 + 2*r. What is the remainder when 21 is divided by a(-6)?
3
Let f(k) = 5*k**3 - 3*k**2 - 2*k - 12. Let m be f(-3). Calculate the remainder when 80 is divided by (126/m)/(1/(-8)).
2
Let d = -14 + 18. Let f(s) = 12*s**2 - s - 2 - 1 + 6 + 2*s. What is the remainder when f(d) is divided by 40?
39
Let n(h) be the second derivative of h**4/4 + h**3/6 - 3*h**2/2 - 3*h. Suppose -14 + 18 = -v. Calculate the remainder when n(v) is divided by 7.
6
Suppose 24*z - 8496 = 3528. Suppose z*v = 497*v + 112. Calculate the remainder when v is divided by 17.
11
Suppose 4*h - 4*k - 46 = 3*h, 2*k = 5*h - 158. Suppose -84 = -h*c + 28*c. Let z = c - 17. Calculate the remainder when 42 is divided by z.
17
Let p = 7050 - 6854. Calculate the remainder when 803 is divided by p.
19
Suppose 5*p - 5*y - 45 = 0, 37 = 5*p - 5*y + 2*y. Suppose 0 = -o - 3*v - 8 + 9, -p*o = -3*v - 41. What is the remainder when 151 is divided by o?
4
Let x(m) = m**2 + 9*m + 13. Let j be x(-6). Let q(k) = -k**3 - 4*k**2 + 4*k + 1. Calculate the remainder when 18 is divided by q(j).
0
Let j be 4/5 + 4 + (-18)/10. Suppose p - 28 = -3*p. What is the remainder when (-54)/12*(-16)/j is divided by p?
3
Suppose 3*j = 5*x - 336, 264 = 4*x - 11*j + 7*j. Calculate the remainder when 624 is divided by x.
3
Suppose -15 = -5*p, 0 = -200*j + 197*j + 4*p + 123. Suppose 3*g - 1095 = -2*g. Calculate the remainder when g is divided by j.
39
Let n be (0 - -1)/(8/720*-1). Let j = -47 - n. Calculate the remainder when 118 is divided by j.
32
Let v = -2825 + 2930. What is the remainder when 499 is divided by v?
79
Let t = -13909 + 14051. Suppose -l = -5*l + 2*a + 122, 9 = -3*a. Calculate the remainder when t is divided by l.
26
Let u(k) = k**3 - 7*k**2 + 9. Let f be u(7). Let g = f - 0. Calculate the remainder when 44 is divided by g.
8
Let m(i) = i**3 - 2*i**2 - 5*i. Let o(t) = 57*t**3 - 2*t + 3. Suppose -d + 1 = -5*c, -c = -10*d + 6*d + 4. What is the remainder when o(d) is divided by m(4)?
10
Let z = -168 - -191. Let b = 246 - z. Calculate the remainder when b
|
{
"pile_set_name": "DM Mathematics"
}
|
rs of 25929639.
3, 320119
List the prime factors of 114294080.
2, 5, 357169
List the prime factors of 334091512.
2, 59, 197, 3593
What are the prime factors of 1352410804?
2, 19, 17794879
What are the prime factors of 1071569970?
2, 3, 5, 11906333
List the prime factors of 42226870.
2, 5, 7, 719, 839
What are the prime factors of 416485781?
349, 1193369
List the prime factors of 305907149.
53, 5771833
List the prime factors of 4039649353.
41, 98528033
What are the prime factors of 256626123?
3, 13, 83, 79279
What are the prime factors of 2419765796?
2, 7, 86420207
What are the prime factors of 1403022943?
7, 37, 53, 179, 571
List the prime factors of 1226987302.
2, 23, 521, 51197
List the prime factors of 1119869065.
5, 7, 53, 233, 2591
What are the prime factors of 85069412?
2, 29, 79, 9283
List the prime factors of 89912599.
7, 263, 6977
What are the prime factors of 193972196?
2, 11, 47, 8527
List the prime factors of 86143281.
3, 7, 241, 17021
What are the prime factors of 26677074?
2, 3, 37, 120167
List the prime factors of 72541973.
7, 103, 100613
List the prime factors of 6979759013.
229, 30479297
What are the prime factors of 21945334?
2, 17, 31, 47, 443
What are the prime factors of 141159952?
2, 509, 17333
What are the prime factors of 1026789473?
331, 1511, 2053
List the prime factors of 7726640633.
97, 79656089
List the prime factors of 1281637252.
2, 7, 29, 929, 1699
What are the prime factors of 35960045?
5, 11, 653819
What are the prime factors of 114540695?
5, 1019, 22481
What are the prime factors of 1137882156?
2, 3, 31, 751, 4073
What are the prime factors of 125673822?
2, 3, 2327293
What are the prime factors of 602190556?
2, 11, 109, 241, 521
List the prime factors of 58387461.
3, 11, 239, 673
What are the prime factors of 1335072694?
2, 47, 14202901
List the prime factors of 21606104.
2, 13, 103, 2017
What are the prime factors of 561858112?
2, 79, 111127
What are the prime factors of 40078410?
2, 3, 5, 19, 70313
What are the prime factors of 2082920640?
2, 3, 5, 61, 35569
List the prime factors of 64537998.
2, 3, 7, 219517
List the prime factors of 76767305.
5, 15353461
What are the prime factors of 178156399?
178156399
What are the prime factors of 28721030?
2, 5, 13, 220931
List the prime factors of 5161439462.
2, 17, 139, 1092137
List the prime factors of 69825217.
7, 11, 23, 89, 443
List the prime factors of 253230404.
2, 7, 19, 475997
What are the prime factors of 215050847?
11, 107, 182711
What are the prime factors of 233869183?
83, 2817701
List the prime factors of 2132680.
2, 5, 11, 37, 131
What are the prime factors of 113787380?
2, 5, 7, 373, 2179
List the prime factors of 217721268.
2, 3, 293, 20641
What are the prime factors of 27861617?
7, 3980231
What are the prime factors of 6389400589?
11, 13, 44681123
What are the prime factors of 243744901?
19, 12828679
List the prime factors of 41372527.
7, 5910361
List the prime factors of 622039019.
7, 88862717
What are the prime factors of 462575989?
59, 7840271
What are the prime factors of 1680214488?
2, 3, 1789, 39133
What are the prime factors of 1743553608?
2, 3, 73, 431, 2309
List the prime factors of 89541424.
2, 7, 181, 631
List the prime factors of 1464312686.
2, 61, 853, 14071
What are the prime factors of 89109735?
3, 5, 11, 13, 41543
List the prime factors of 61886631.
3, 241, 85597
List the prime factors of 474316529.
474316529
List the prime factors of 4281084085.
5, 19, 41, 43, 25561
List the prime factors of 578464337.
11, 43, 73, 1523
List the prime factors of 1474699985.
5, 11, 59, 454453
List the prime factors of 947027940.
2, 3, 5, 239, 66041
List the prime factors of 9858338.
2, 7, 107, 6581
List the prime factors of 247181658.
2, 3, 89, 462887
List the prime factors of 583577903.
583577903
List the prime factors of 38260523.
7, 17, 23, 1997
What are the prime factors of 829911589?
13, 29, 2201357
What are the prime factors of 1010825154?
2, 3, 71, 89, 8887
List the prime factors of 175200118.
2, 87600059
List the prime factors of 139725698.
2, 7, 967, 10321
List the prime factors of 51462038.
2, 25731019
List the prime factors of 117383069.
117383069
List the prime factors of 826825095.
3, 5, 18373891
What are the prime factors of 571828119?
3, 29, 6572737
What are the prime factors of 5746286063?
7, 820898009
List the prime factors of 3792421426.
2, 1896210713
What are the prime factors of 330351564?
2, 3, 27529297
List the prime factors of 227298708.
2, 3, 7, 13, 69383
What are the prime factors of 1851285349?
19, 3037, 32083
List the prime factors of 111194013.
3, 7, 5294953
List the prime factors of 661758684.
2, 3, 47, 607, 1933
What are the prime factors of 101908216?
2, 23, 553849
What are the prime factors of 72657919?
19, 1103, 3467
What are the prime factors of 170048985?
3, 5, 11336599
List the prime factors of 70259045.
5, 17, 79, 10463
List the prime factors of 41215832.
2, 7, 735997
What are the prime factors of 220598886?
2, 3, 1433, 25657
What are the prime factors of 82034820?
2, 3, 5, 7, 71, 131
List the prime factors of 37306075.
5, 17, 61, 1439
List the prime factors of 10063349.
257, 39157
List the prime factors of 2531052098.
2, 41, 1193, 25873
List the prime factors of 2068329684.
2, 3, 17, 61, 71, 2341
What are the prime factors of 51954193?
17, 3056129
What are the prime factors of 92885676?
2, 3, 13, 43, 61, 227
What are the prime factors of 24339113?
4021, 6053
What are the prime factors of 829570394?
2, 23, 73, 467
What are the prime factors of 827354843?
7, 211, 560159
List the prime factors of 33293608.
2, 4161701
List the prime factors of 573548216.
2, 79, 907513
List the prime factors of 1517054712.
2, 3, 1259, 50207
What are the prime factors of 20926877?
97, 443, 487
List the prime factors of 977031141.
3, 29, 11230243
List the prime factors of 278616466.
2, 5323, 26171
What are the prime factors of 106340985?
3, 5, 787711
List the prime factors of 110695770.
2, 3, 5, 619, 1987
List the prime factors of 737837658.
2, 3, 40990981
List the prime factors of 2630380113.
3, 103, 2837519
List the prime factors of 144623858.
2, 19, 401, 9491
What are the prime factors of 577133186?
2, 7, 43, 958693
List the prime factors of 185329493.
443, 418351
What are the prime factors of 882097385?
5, 13, 13570729
What are the prime factors of 1156092443?
11, 179, 53377
List the prime factors of 198412564.
2, 7, 379, 2671
What are the prime factors of 31245044?
2, 19, 411119
List the prime factors of 76683068.
2, 7, 11, 248971
List the prime factors of 9123998.
2, 13, 43, 8161
What are the prime factors of 140814897?
3, 5209, 9011
List the prime factors of 1176854320.
2, 5, 113, 130183
What are the prime factors of 34466299?
7, 4923757
List the prime factors of 42340448.
2, 1323139
What are the prime factors of 250129386?
2, 3, 13, 151, 7079
List the prime factors of 109992056.
2, 13749007
What are the prime factors of 48071822?
2, 24035911
What are the prime factors of 3139119415?
5, 6871, 91373
What are the prime factors of 1794069738?
2, 3, 17, 5862973
What are the prime factors of 40001561?
17, 151, 15583
List the prime factors of 6432918124.
2, 37, 659, 65957
List the prime factors of 4396471815.
3, 5, 293098121
List the prime factors of 59714203.
367, 162709
What are the prime factors of 13189577?
29, 41, 11093
What are the prime factors of 3492967207?
137, 186103
What are the prime factors of 301197962?
2, 13, 11584537
List the prime factors of 43535483.
313, 139091
What are the prime factors of 1149508456?
2, 877, 163841
What are the prime factors of 521942806?
2, 7, 11, 17, 19, 1499
List the prime factors of 727346241.
3, 17, 279641
What are the prime factors of 2628201798?
2, 3, 146011211
What are the prime factors of 117117655?
5, 47, 59, 8447
List the prime factors of 176191354.
2, 557, 158161
List the prime factors of 1542402739.
41, 37619579
List the prime factors of 6307128406.
2, 269, 11723287
What are the prime factors of 168816672?
2, 3, 19, 30851
What are the prime factors of 145062374?
2, 72531187
List the prime factors of 117581703.
3, 251, 156151
List the prime factors of 541177650.
2, 3, 5, 13, 79, 1171
List the prime factors of 2043529645.
5, 23, 409, 1889
What are the prime factors of 2060940?
2, 3,
|
{
"pile_set_name": "DM Mathematics"
}
|
311
What is the remainder when 347262 is divided by 4981?
3573
Calculate the remainder when 118751 is divided by 16961.
24
What is the remainder when 287577 is divided by 95814?
135
Calculate the remainder when 2007697 is divided by 501509.
1661
Calculate the remainder when 170177 is divided by 12119.
511
Calculate the remainder when 22046601 is divided by 516.
501
What is the remainder when 987052 is divided by 1349?
933
What is the remainder when 1569582 is divided by 539?
14
What is the remainder when 74141798 is divided by 20?
18
Calculate the remainder when 4576531 is divided by 169501.
4
Calculate the remainder when 4389991 is divided by 2194994.
3
What is the remainder when 2252874 is divided by 1079?
1001
Calculate the remainder when 12396546 is divided by 83.
81
What is the remainder when 3946708 is divided by 544?
532
What is the remainder when 79611 is divided by 1232?
763
What is the remainder when 1661780 is divided by 176?
164
What is the remainder when 315822 is divided by 149499?
16824
What is the remainder when 745135 is divided by 149027?
0
Calculate the remainder when 18065730 is divided by 18065729.
1
Calculate the remainder when 101914833 is divided by 284.
13
What is the remainder when 401157 is divided by 133640?
237
What is the remainder when 4682590 is divided by 284?
282
Calculate the remainder when 7289027 is divided by 2420.
2407
What is the remainder when 8001305 is divided by 2328?
2297
Calculate the remainder when 10155508 is divided by 2276.
2272
Calculate the remainder when 3735073 is divided by 7074.
1
Calculate the remainder when 748065 is divided by 249052.
909
Calculate the remainder when 90274 is divided by 87722.
2552
Calculate the remainder when 75033 is divided by 6779.
464
What is the remainder when 39996801 is divided by 275840?
1
Calculate the remainder when 135121117 is divided by 243.
238
What is the remainder when 8246935 is divided by 545?
540
Calculate the remainder when 171837179 is divided by 183.
179
What is the remainder when 3203113 is divided by 6078?
7
Calculate the remainder when 9424389 is divided by 1140.
9
What is the remainder when 9441669 is divided by 70?
69
Calculate the remainder when 10149074 is divided by 92.
2
What is the remainder when 8401115 is divided by 38?
37
Calculate the remainder when 1906961 is divided by 953431.
99
Calculate the remainder when 25183760 is divided by 24474.
14
What is the remainder when 855808 is divided by 6901?
84
Calculate the remainder when 1087475 is divided by 23636.
219
What is the remainder when 5297198 is divided by 36?
14
What is the remainder when 78845 is divided by 3871?
1425
What is the remainder when 285918 is divided by 287?
66
What is the remainder when 7379621 is divided by 141914?
93
What is the remainder when 366134 is divided by 112?
6
What is the remainder when 24000906 is divided by 128?
10
What is the remainder when 145754 is divided by 145490?
264
What is the remainder when 2509756 is divided by 48?
28
What is the remainder when 211628 is divided by 21130?
328
Calculate the remainder when 592804 is divided by 38434.
16294
What is the remainder when 533341 is divided by 533266?
75
Calculate the remainder when 28099169 is divided by 205.
24
What is the remainder when 510932 is divided by 16975?
1682
Calculate the remainder when 11413161 is divided by 14.
11
Calculate the remainder when 10508695 is divided by 503.
19
What is the remainder when 13576 is divided by 757?
707
Calculate the remainder when 615574 is divided by 839.
587
What is the remainder when 92137 is divided by 1644?
73
What is the remainder when 1147125 is divided by 127454?
39
What is the remainder when 604284733 is divided by 2463?
2461
What is the remainder when 1761778 is divided by 8943?
7
Calculate the remainder when 12923 is divided by 3410.
2693
What is the remainder when 369321 is divided by 1343?
1339
What is the remainder when 484107 is divided by 3782?
11
Calculate the remainder when 234728887 is divided by 38.
37
What is the remainder when 6342460 is divided by 306?
304
Calculate the remainder when 1033776 is divided by 1033765.
11
What is the remainder when 15172841 is divided by 28?
5
What is the remainder when 22248085 is divided by 17?
15
What is the remainder when 2958905 is divided by 606?
413
Calculate the remainder when 13560467 is divided by 2712092.
7
What is the remainder when 47943163 is divided by 15?
13
Calculate the remainder when 3613770 is divided by 2200.
1370
Calculate the remainder when 21972 is divided by 10522.
928
Calculate the remainder when 9438 is divided by 1225.
863
What is the remainder when 50665 is divided by 7431?
6079
What is the remainder when 24937062 is divided by 8?
6
Calculate the remainder when 15336 is divided by 1414.
1196
What is the remainder when 1896081 is divided by 2630?
2481
What is the remainder when 3652905 is divided by 5577?
5547
What is the remainder when 1441914 is divided by 720956?
2
What is the remainder when 3840031 is divided by 256?
31
What is the remainder when 25626 is divided by 1814?
230
What is the remainder when 72924 is divided by 13587?
4989
Calculate the remainder when 1407763 is divided by 726.
49
What is the remainder when 1986357 is divided by 24?
21
What is the remainder when 897960 is divided by 1024?
936
What is the remainder when 23156864 is divided by 5033?
31
What is the remainder when 1330166 is divided by 3402?
3386
Calculate the remainder when 2163877 is divided by 18654.
13
What is the remainder when 4228138 is divided by 147?
124
What is the remainder when 190533 is divided by 2361?
1653
Calculate the remainder when 36767909 is divided by 80.
69
What is the remainder when 3231 is divided by 1708?
1523
Calculate the remainder when 48882 is divided by 1966.
1698
What is the remainder when 11957375 is divided by 3759?
3755
Calculate the remainder when 57417 is divided by 153.
42
What is the remainder when 1187413 is divided by 4?
1
Calculate the remainder when 655510547 is divided by 2958.
2957
What is the remainder when 23592 is divided by 1772?
556
Calculate the remainder when 1222902 is divided by 5.
2
What is the remainder when 420608062 is divided by 51?
46
Calculate the remainder when 959063 is divided by 2300.
2263
What is the remainder when 6207252 is divided by 865?
12
What is the remainder when 20686858 is divided by 56832?
10
Calculate the remainder when 676385890 is divided by 6.
4
What is the remainder when 1226090 is divided by 992?
970
What is the remainder when 61986365 is divided by 30993177?
11
What is the remainder when 3859671 is divided by 21091?
18
What is the remainder when 15688 is divided by 3438?
1936
What is the remainder when 1644610 is divided by 1336?
1330
Calculate the remainder when 2592524 is divided by 648128.
12
Calculate the remainder when 19553208 is divided by 1237.
1186
What is the remainder when 4546514 is divided by 378876?
2
Calculate the remainder when 40528080 is divided by 107.
11
Calculate the remainder when 58415 is divided by 28967.
481
Calculate the remainder when 2399146 is divided by 30.
16
What is the remainder when 2508981 is divided by 2655?
6
What is the remainder when 8946226 is divided by 18332?
210
What is the remainder when 79820 is divided by 26391?
647
Calculate the remainder when 453617 is divided by 676.
21
What is the remainder when 1207151 is divided by 310?
11
Calculate the remainder when 19294513 is divided by 3348.
3337
What is the remainder when 2707485 is divided by 45122?
165
Calculate the remainder when 3256769 is divided by 213.
212
What is the remainder when 6350128 is divided by 3?
1
What is the remainder when 5342089 is divided by 28?
25
What is the remainder when 2808494 is divided by 59?
35
Calculate the remainder when 1335968 is divided by 106.
50
What is the remainder when 28855033 is divided by 127?
125
Calculate the remainder when 50294 is divided by 1602.
632
What is the remainder when 5467324 is divided by 6595?
69
What is the remainder when 7876659 is divided by 2625550?
9
What is the remainder when 848742 is divided by 848563?
179
Calculate the remainder when 17489205 is divided by 186.
183
What is the remainder when 380063 is divided by 735?
68
Calculate the remainder when 138802
|
{
"pile_set_name": "DM Mathematics"
}
|
1. Let d be i(-2). Let k(v) = v**2 - 22*v - 24. Let y be k(23). Let o = 3 - 2. Put y, o, d in descending order.
d, o, y
Let w = -89 + 88.9. Sort 3/7, -0.2, 0.2, w in decreasing order.
3/7, 0.2, w, -0.2
Let o = 200 + -203. Let t = -18 + 13. Sort t, 1, o in decreasing order.
1, o, t
Let f = 11 - 12. Let y = 2.4 + -0.4. Let w = y - 6. Sort f, -0.1, w in decreasing order.
-0.1, f, w
Suppose 4*j - w + 14 = 4, -5*w = 3*j + 19. Sort 6, j, -5, -1 in ascending order.
-5, j, -1, 6
Let y = 44 + -45.9. Let p = -2 - y. Sort -1/2, p, 0.3 in increasing order.
-1/2, p, 0.3
Let a be (16 + -1)*4/12. Suppose -a*z + 32 = 12. Sort z, -5, 3 in descending order.
z, 3, -5
Let s = 3.868 - -0.132. Sort 4/5, s, -0.5.
-0.5, 4/5, s
Suppose 0*d - 4*d = d. Sort 2, -4, d, -6 in decreasing order.
2, d, -4, -6
Let l be (-22)/18 + (-4)/(-18). Put l, -3, -2 in increasing order.
-3, -2, l
Let p be 0 - 0*(0 - -1). Put 2, -2, 4, p in decreasing order.
4, 2, p, -2
Let s(w) = -w**2 + 11*w + 7. Let k be s(11). Suppose -y + k = 2. Sort y, -2, -3 in decreasing order.
y, -2, -3
Let g = 48 - 193/4. Let r = 2.97 - -0.03. Sort g, r, -1/3 in decreasing order.
r, g, -1/3
Let r = -102/7 + 837/56. Sort -2/3, -2/5, r.
-2/3, -2/5, r
Suppose -b + 12 + 0 = 3*x, 3 = b. Sort 2, -5, 5, x.
-5, 2, x, 5
Suppose 0 = 5*u + 3*k + 6, -2*k + 3 - 7 = -3*u. Sort 6, u, -3.
-3, u, 6
Let w be (-7)/(35/(-2))*10. Let q = 1 - 0. Put w, -5, q in descending order.
w, q, -5
Let q = -1 + 0.6. Sort q, 2/15, 1 in descending order.
1, 2/15, q
Let v be 2*(1/(-2))/1. Suppose -2*x + 5*m = 0, 2*m - 19 = -3*x - 0*m. Sort v, 3/5, x.
v, 3/5, x
Let h = -0.37 + -0.13. Sort h, 0, 0.5 in decreasing order.
0.5, 0, h
Let h be (((-15)/50)/1)/(-3). Sort 0.4, 0.3, h.
h, 0.3, 0.4
Let w = -0.23 + -0.77. Let y = 18.3 - 14.22. Let f = -0.08 + y. Sort f, w, 4/5 in decreasing order.
f, 4/5, w
Let b(j) = j - 4. Let q be b(4). Sort -2, q, 1 in ascending order.
-2, q, 1
Suppose m - 5 = 2*m. Let x be ((-8)/10)/(2/m). Let n be (1/(-4))/(x/(-2)). Put -0.4, n, -5 in ascending order.
-5, -0.4, n
Let d be 3*1 + -6 + 10. Suppose 5*n = d - 2. Let j be 1 + (n - 1 - 1). Put -5, j, 5 in decreasing order.
5, j, -5
Let m = -4.31 + 9.38. Let y = -0.07 + m. Let g = 53/5 - 11. Sort g, -2, y.
-2, g, y
Suppose -4*v = -5*z - 32, -3*z + 0 = 12. Put 0, v, 4, -3 in increasing order.
-3, 0, v, 4
Let y be 16/(-56) - 5/56. Sort y, -0.4, -5/6, 5 in ascending order.
-5/6, -0.4, y, 5
Let o be (48/18)/(2/3). Suppose 4 + o = -2*i. Put -3, 1, i in increasing order.
i, -3, 1
Let h be 0 - -2 - -1 - 3. Suppose -b + s + 6 = h, 3*b + 4*s = 6*b - 22. Sort b, -1, 0 in ascending order.
-1, 0, b
Let x = -0.171 - -0.071. Sort x, 0.1, 3/17, -2 in decreasing order.
3/17, 0.1, x, -2
Suppose 3 + 7 = m. Let j = -5 + m. Put -1, j, 2 in ascending order.
-1, 2, j
Let z be 5 + 3 + -1 + -1. Suppose -2*u = -z*u + 12. Put -2, u, 3/2 in increasing order.
-2, 3/2, u
Let f = 1 - 3. Suppose 2*a - 1 = 3. Suppose -a*q = 3*q. Sort 1, q, f in decreasing order.
1, q, f
Let n be ((-200)/18)/(-5) - (-4)/(-18). Put 4, n, -3, -5 in descending order.
4, n, -3, -5
Let w be 6*8/84*1. Sort w, -3, 0, -0.1.
-3, -0.1, 0, w
Let g(n) = -2*n**2 + 2*n - 1. Let a be 1 + (-2 - (-1 + -2)). Let m be g(a). Let k = -4 - m. Sort k, -4, -2 in descending order.
k, -2, -4
Let h(b) = -5*b. Let v be h(1). Sort 4, -6, v in decreasing order.
4, v, -6
Let i = 61 + -46. Put i, -2/17, 3 in increasing order.
-2/17, 3, i
Suppose -1 = 2*m - 3*j, -2*m - j = -5*j + 2. Suppose 2 = 5*l - 2*d, -14 = -l - 3*d - 0*d. Suppose p = 2*p + l. Sort 1/2, p, m in descending order.
m, 1/2, p
Suppose -3*z + 5*o - 22 = 0, 4*z + 0*z = o - 18. Let s be 88/(-12)*(-3)/2. Suppose -s = 2*f + c, -2*f + 4*c - 8 + 2 = 0. Sort 1/8, z, f.
f, z, 1/8
Let h(v) = -5*v + 6. Let o be h(1). Put o, -9, 2 in increasing order.
-9, o, 2
Let j be (2/2 + 1)*1. Suppose s = -4*s + 115. Suppose f - s = -3*r - f, -4*f = -2*r - 6. Put j, -3, r in decreasing order.
r, j, -3
Suppose 0 = -5*t + t + 8. Suppose t - 18 = -4*i. Suppose -5*z = -i - 6. Sort z, -1/4, 5 in decreasing order.
5, z, -1/4
Let d = 10.61 + -6.52. Let s = 0.09 - d. Let w = 2 + s. Sort 4, w, 3/4 in decreasing order.
4, 3/4, w
Let n = -5 - 0. Let x = n - -13. Let g = 6 - x. Sort g, 0.4, -1.
g, -1, 0.4
Let w = 14.3 - 14. Let v = 0 - 4. Sort w, 0.1, v in descending order.
w, 0.1, v
Let f(y) = 2*y**2 + 2*y - 1. Let g be f(1). Let u = -7 - -14. Suppose x = u*x. Put g, -1, x in increasing order.
-1, x, g
Suppose -5*f = -11*f - 30. Sort 0, f, -1 in decreasing order.
0, -1, f
Let q = -12 + 14. Let i = -2 + q. Sort -5, i, -1 in increasing order.
-5, -1, i
Let h(g) = 2 - 2*g + 2*g - 2*g. Let m be h(2). Sort -5, m, 4 in descending order.
4, m, -5
Let n = 1.2 - 1.2. Put n, -1, 3 in descending order.
3, n, -1
Let k = 14 + -13. Let z(a) = -a**2 + 6*a + 5. Let x be z(6). Put 3, k, x in decreasing order.
x, 3, k
Let i be 1*2*(-3)/(-3). Suppose i*b + 14 = -5*p, -3*p = -4*b - 2 - 0. Let o = 11 + -11. Put -4, b, o in descending order.
o, b, -4
Let y = -0.03 - -0.33. Let u = y - 0.7. Put -3/5, 2/7, u in descending order.
2/7, u, -3/5
Suppose -3*l = -4*l + 4. Sort -10, l, -3 in increasing order.
-10, -3, l
Let t(y) = 2*y - 2. Let v be t(2). Suppose 4*h + 10 - 2 = -4*g, 30 = -5*h + 5*g. Sort 0, v, h in descending order.
v, 0, h
Let h be ((-1)/(-2))/(-4 - (-5)/2). Let u = 625/11 - 57. Sort h, u, 2 in descending order.
2, u, h
Let r = 7 + -2. Suppose 0 = r*u - 6 - 19. Let a be 2/5 + 13/u. Sort a, -1, 5 in decreasing order.
5, a, -1
Suppose 3*n - 1 = 2. Suppose 2*p + 0*k - 2*k + 18 = 0, 40 = -4*p + 5*k. Let o = n + p. Sort o, -5, 5 in ascending order.
-5, o, 5
Let d = -0.1 + 4.1. Sort -2, d, -1 in increasing order.
-2, -1, d
Let r(a) = a**2 - 5*a + 4. Let i be r(3). Sort 2, 4, i in descending order.
4, 2, i
Let f(s) = 2*s**3 + 5*s**2 + 5*s + 4. Let h be f(-3). Let j be ((-2)/4)/((-2)/h). Let b = -37 + 40. Sort b, 5, j.
j, b, 5
Let w = -2128/11 + 194. Sort 3, w, 2.
w, 2, 3
Suppose 5*g - 6*g + 3 = 0. Suppose -g*u = 3*d + 6 + 3, 3*d - 5*u = -17. Put 3, d, 2 in increasing order.
d, 2, 3
Let n = 6 - -8. Sort 0, n, 1/3, 5 in ascending order.
0, 1/3, 5, n
Suppose 0 = 2*d - 2*q + 4, 2*q - 4 - 4 = 0. Let m(l) = -2*l + 3 - l**2 - 7*l + 2 + d*l. Let s be m(-8). Sort -4, 3, s.
-4, s, 3
Let y be 18/(-9)*7/2. Let l = y + 8. Put -6, -1, l in increasing order.
-6, -1, l
Let u be -7 - (5/(-1) - -9). Sort -1, u, 5.
u, -1, 5
Let o(a) = a**3 - 4*a**2 + 2*a + 1. Let f be o(3). Let w be 1/3 + f/6. Suppose 2*g - 2 = 4*r, g - r = -3*r + 5. Sort -4, w, g in decreasing order.
g, w, -4
Suppose -6 = -7*t + 1. Let l = 1 - 0.9. Let s = 0.3 - l. Sort 5/4, t, s in increasing order.
s, t, 5/4
Let c = 1.3 + -0.3. Let n = c + -6. Sort -0.4, 2, n in decreasing order.
2, -0.4, n
Let o = -0.3 + 0.8. Let b = o - 0.5. Put 2, 1/7, b in decreasing order.
2, 1/7, b
Let b = 4 + 0. Let c = 0 + -1. Put c, -0.3, b in descending order.
b, -0.3, c
Let a = -15.888 + -0.112. Put -2, -0.3, a, 1/3 in ascending order.
a, -2, -0.3, 1/3
Suppose 2*a + 12 = -3*a - 4*i, 3*a = 3*i - 18. Let w be 2*-2*(-2)/(-4). Put w, a, -5 in decreasing order.
w, a, -5
Let v = -21 + 18. Put -2, v, 4 in ascending order.
v, -2, 4
Suppose -4*z - 1 = -2*m + 5, 5*z = 4*m - 9. Suppose -n = h + 7, -n + 15 = -4*h - 3. Sort n, z, -3.
-3, n, z
Suppose o + 0*y = -5*y, 5*o = y. Put -5, o, 7 in decreasing order.
7, o, -5
Suppose 0 = -2*o + 6*o - 16. Put -2, 1/6, o, -0.1 in decreasing order.
o, 1/6, -0.1, -2
Let b be 6/(-9) - 76/(-24). Let n(f) = -f**3 + f**2 + f + 4. Let a be n(0). Put -4, b, a in decreasing order.
a, b, -4
Let c = 0 - -1. Let l be c + 1 - 1/1. Let o = 5 + -3. Put l, 3, o in increasing order.
l, o, 3
Let v = -25 - -21. Put -0.3, 3, v in ascending order.
v, -0.3, 3
Suppose 5*z + 3 - 43 = 0. Let w = z + -12. Put 0, 1, w in increasing order.
w, 0, 1
Let g = -7.5 + 7. Let b be (-6)/15*3/((-72)/15). Put 5, b, g in decreasing order.
5, b, g
Let i(p) = p + 1. Let g be i(-8). Put g, -5, 1 in descending order.
1, -5, g
Suppose -q = q + 2. Let v be (-24)/(-8) - (q - 1). Sort -5, 4, v in descending order.
v, 4, -5
Let v = 2.9 + 1.1. Let h = 43.4 + -43. Sort 1, v, h in increasing order.
h, 1, v
Let v = 3.04 - 3. Put -3/7, -0.2, v in descending order.
v, -0.2, -3/7
Let i be 6/20 - (-2)/(-12). Sort i, -1/15, 2 in ascending orde
|
{
"pile_set_name": "DM Mathematics"
}
|
m**6 wrt m.
-120*m**3
Let r(f) be the first derivative of -37*f**7/42 - 5*f**4/6 - 20*f + 14. Let y(p) be the first derivative of r(p). What is the third derivative of y(o) wrt o?
-2220*o**2
Let g(n) = n**3 + n**2 - 4*n + 1. Let q be g(-2). Let v be (-1)/(9/(-30))*3. Find the first derivative of q*d**3 - 10*d + 1 + v*d wrt d.
15*d**2
Let w(x) = x**2 + 1. Let s(h) = 80*h**2 - 73. Let u(q) = -s(q) + w(q). What is the first derivative of u(f) wrt f?
-158*f
Let l(n) be the first derivative of 25*n**4/4 - n**3 - 5*n**2 - 28. Find the second derivative of l(a) wrt a.
150*a - 6
Let b be 1/(-4) + 27/12. What is the derivative of -3*p**b - 10 - 3*p**2 - 3 wrt p?
-12*p
Let q(v) be the first derivative of -4*v**6/3 + 11*v**4/4 + 103*v**2 - 2*v - 567. What is the second derivative of q(d) wrt d?
-160*d**3 + 66*d
Let l = -1 - 0. Let b(o) = -o**3 + o**2 + o + 1. Let g be b(l). What is the second derivative of 4*d**2 + 17*d - d**g - 11*d wrt d?
6
Let r be (-3)/(-12) + (-7)/(-4). Suppose 2*k - 2 = 4*q, -3*q = -r*k - 2*k + 14. Find the third derivative of 2*y**q + 2*y**2 - 3*y**3 + 0*y**3 wrt y.
-18
Let w be 0 - (-1 + -1 + 1). Let z = w + 2. What is the third derivative of -3*i**3 - 3*i**2 + 3*i - z*i + 6*i**2 wrt i?
-18
Suppose -2*v = y + 6, -y - v + 0*v - 2 = 0. Let o(s) be the first derivative of -s**3 + 5 - s - y*s + 5*s. Differentiate o(h) wrt h.
-6*h
Let k be 0 + 3*(0 + -1). Let m(y) = -2*y - 4. Let n be m(k). Differentiate -5*q**2 + 0*q**2 + 2 + 9*q**n - 3*q**2 wrt q.
2*q
Let o(t) = -t + 13. Let c be o(11). Suppose -2*v = c*u + u - 3, -5*v = -5*u - 45. Find the first derivative of 5*k**2 + 0*k**2 + v - 5*k**2 - 3*k**3 wrt k.
-9*k**2
Let c(x) = x**3 + 16*x**2 + 12*x - 21. Let m be c(-15). Find the third derivative of -m*g**5 + 13*g**5 - 30*g**2 + 13*g**5 + 14*g**5 wrt g.
960*g**2
Let v be (-2)/(7/(-6) - -1). Let j = 15 - v. What is the third derivative of 8*o**2 + 3*o**3 + 2*o**3 - 2*o**j wrt o?
18
Let j(l) = l + 9. Let a be j(0). Find the second derivative of -3*d**5 - 3*d**5 - 12*d**5 - 10*d - a*d wrt d.
-360*d**3
What is the third derivative of 15*w**6 - 10*w**2 + 185*w**5 - 186*w**5 - 38*w**2 wrt w?
1800*w**3 - 60*w**2
Let k(q) be the first derivative of 5*q**3 + 0*q**5 + 0*q**4 + 0*q**2 + 0*q - 13 - 7/3*q**6. What is the third derivative of k(h) wrt h?
-840*h**2
Let g(p) be the third derivative of -583*p**5/60 - 425*p**3/6 + 20*p**2 + 4*p. What is the first derivative of g(c) wrt c?
-1166*c
Let r(q) be the first derivative of -101*q**6/6 - q**4/2 + q**3/3 + 262*q - 889. What is the third derivative of r(c) wrt c?
-6060*c**2 - 12
Let b(a) be the first derivative of -a**6/36 + a**4/24 - 4*a**3/3 - 6. Let x(k) be the third derivative of b(k). Differentiate x(s) with respect to s.
-20*s
Let k = -18 - -22. Suppose -k*n = -8 - 0. Find the second derivative of 8*t + 0*t + 18*t**n - 14*t**2 wrt t.
8
Suppose 9 - 35 = 3*i - f, 0 = 5*f + 5. Let d = 11 + i. What is the third derivative of 2*u**5 - 4*u**2 + u**2 - 2*u**5 - d*u**5 wrt u?
-120*u**2
Let a(d) be the third derivative of d**7/15 - d**5/15 + 21*d**4/8 - 4*d**2 - 13*d. What is the second derivative of a(r) wrt r?
168*r**2 - 8
Let c(r) = 3*r + 9*r + 2*r + 5*r**3 - 11*r**2. Let m(o) = -2*o**3 + 4*o**2 - 5*o. Let q(s) = 4*c(s) + 11*m(s). Find the second derivative of q(k) wrt k.
-12*k
What is the third derivative of -2*p**4 + p**2 + 41*p**6 + 7749*p - 7730*p + 10*p**6 wrt p?
6120*p**3 - 48*p
What is the third derivative of -r**6 - 20*r**2 + 40*r**3 + 0*r**6 - 49*r**3 + 5 - 8*r**2 wrt r?
-120*r**3 - 54
Let x = 63 - 57. Find the third derivative of -6*f**2 - 14*f**2 + 30*f**4 - x*f**4 wrt f.
576*f
Let i = 79/570 + -2/19. Let z(a) be the second derivative of -8*a + 0 + 0*a**3 - i*a**6 + 0*a**4 + 5*a**2 + 0*a**5. Differentiate z(q) wrt q.
-4*q**3
Let r(i) = 102*i**2 - 66*i - 4. Let t(o) = 102*o**2 - 65*o - 5. Let z(w) = 5*r(w) - 4*t(w). What is the second derivative of z(k) wrt k?
204
What is the derivative of 167 - 172 - 156 - 372*y**4 wrt y?
-1488*y**3
Let t(u) = u**4 + 5*u**3 - 10*u**2 - 2*u + 5. Let o(b) = -b**3 - b**2 - b + 1. Let s(n) = -5*o(n) + t(n). What is the third derivative of s(x) wrt x?
24*x + 60
Let q = 34 - 20. What is the third derivative of 8*m + 8*m**2 + q*m**3 + m - 9*m wrt m?
84
Let h(k) = -2*k - 7 + k - 3. Let y(c) = -101*c + 51*c + 29 + 52*c. Let x(b) = 17*h(b) + 6*y(b). What is the derivative of x(z) wrt z?
-5
Suppose -5*d = -13*d + 24. Find the second derivative of -d*l + 32*l - 15*l**4 + 1 - 6*l**4 wrt l.
-252*l**2
Let k = 33 - 27. Let h(y) = 8*y - 9. Let x(j) = 8*j - 8. Let d(q) = k*x(q) - 5*h(q). What is the first derivative of d(n) wrt n?
8
Find the third derivative of n + 7*n**6 - 1690 - 11*n**5 + 331*n**2 + 1690 wrt n.
840*n**3 - 660*n**2
Suppose 0 = -4*z + 59 - 23. What is the second derivative of 63*j**2 - 136*j**2 + 73*j**2 - 4*j**4 - z*j wrt j?
-48*j**2
Let u(r) be the second derivative of 13/56*r**8 + 0 + 28*r + 0*r**5 - 1/4*r**4 + 0*r**7 + 0*r**2 + 0*r**3 + 0*r**6. What is the third derivative of u(b) wrt b?
1560*b**3
Let u(b) = -b**5 + b**4 + b**3 + 1. Let q(o) = -80*o**5 - 6*o**4 - 6*o**3 + 19*o**2 - 7. Let l(z) = -q(z) - 6*u(z). What is the third derivative of l(a) wrt a?
5160*a**2
Let a(q) be the first derivative of -414*q**5/5 + 463*q**3/3 + 463. Find the third derivative of a(s) wrt s.
-9936*s
Let t = 36 + -32. What is the second derivative of 3*j**t + 5*j + 4*j**4 - 4*j + 6*j**4 wrt j?
156*j**2
What is the third derivative of -103*j**3 - 19*j**2 - 116*j**3 - 206*j**3 - 15*j + 23*j**2 wrt j?
-2550
Let r(q) be the first derivative of 113*q**6/2 + 540*q**2 - 583. Find the second derivative of r(o) wrt o.
6780*o**3
Let c(w) = -131*w**5 - 5*w**3 + 36*w + 3. Let l(t) = 131*t**5 + 4*t**3 - 35*t - 2. Let r(x) = -4*c(x) - 5*l(x). Find the second derivative of r(d) wrt d.
-2620*d**3
Differentiate -105*q + 479*q - 2031 + 1533 wrt q.
374
Suppose 136 = -6*s - 32. Let b = 30 + s. What is the second derivative of b*w**5 + 0*w + w**5 - 8*w wrt w?
60*w**3
Suppose 2*s - 7*s + 4*i = -490, 2*i = -4*s + 366. Find the second derivative of s - 8*b + 2*b**2 - 94 wrt b.
4
Let d(z) be the first derivative of z**6/20 + 13*z**5/120 + 6*z**3 - 18. Let w(a) be the third derivative of d(a). Find the second derivative of w(v) wrt v.
36
Find the first derivative of -160*g**2 + 71*g**2 - 253*g**2 + 148 + 36 - 49 wrt g.
-684*g
Let i(r) be the second derivative of 0*r**3 + 0*r**2 + 10*r + 0*r**5 + 0 + 19/42*r**7 + 0*r**6 - 17/6*r**4. What is the third derivative of i(b) wrt b?
1140*b**2
Let v(t) = -t**2 + 9*t - 18. Let n be v(5). Find the third derivative of 124*l**n + 112*l**2 + 25*l**3 - 246*l**2 wrt l.
150
What is the third derivative of -8*o**3 + o**6 - 46*o**2 + 2*o**2 - 13*o**3 wrt o?
120*o**3 - 126
Let u(m) = 5*m**3 + 53*m - 52. Let q(l) = 9*l**3 + 107*l - 102. Let v(i) = -3*q(i) + 5*u(i). Find the first derivative of v(n) wrt n.
-6*n**2 - 56
Let t be (6 - 8) + 100/2. Suppose -5*v + t = -7. Differentiate -3*a - v*a**2 + 3*a + 181 - 185 wrt a.
-22*a
Let c(l) be the first derivative of 7*l**4/2 + 34*l**3/3 + 112. Find the third derivative of c(f) wrt f.
84
Let f = -1106 + 1106. Let n(m) be the first derivative of 7 + 9/2*m**2 + 0*m**4 - m**5 + f*m**3 + 0*m. What is the second derivative of n(w) wrt w?
-60*w**2
Let t(g) = 41*g**4 + 6*g**3 + 6*g**2 - 12*g + 22. Let v(d) = -83*d**4 - 13*d**3 - 13*d**2 + 26*d - 44. Let b(k) = 13*t(k) + 6*v(k). Differentiate b(y) wrt y.
140*y**3
Let a(l) be the second derivative of 2 - 2/3*l**3 - 19/20*l**5 - 1/2*l**2 + 17*l + 0*l**4. Find the second derivative of a(h) wrt h.
-114*h
Suppose 4*q + 8 = 36. Find the third derivative of q*d**4 - 11*d**2 + 14*d**2 + 4*d**4 - 25*d**2 wrt d.
264*d
Let t = -8 + 11. Suppose -t*p = -0*p + 3, m = -2*p. What is the third derivative of -q + 0*q + 3*q**2 - m*q**3 + q wrt q?
-12
Let u(i) = 3*i - 3. Let g be u(3). Find the first derivative of -a**4 + 30 + g*a**4 + 2*a**4 - a**4 wrt a.
24*a**3
Let b(f) = -f**3 + f + 1. Let s(u) = 17*u**4 + 4*u**3 - 4*u - 1. Let y = -31 + 27. Let z(m) = y*b(m) - s(m). What is the first derivative of z(v) wrt v?
-68*v**3
Let r = 284 + -282. Let b(i) be the first derivative of 7*i - 4/3*i**3 + 0*i**r - 2. What is the derivative of b(v) wrt v?
-8*v
Let y = -1264 + 1267. Let u(d) be the second derivat
|
{
"pile_set_name": "DM Mathematics"
}
|
4)).
-21*sqrt(19)
Simplify ((-1*sqrt(684) + sqrt(684))*-2*-2)**2 - ((sqrt(19)*-3 + 1)**2 + (sqrt(684) - -2*sqrt(684))**2 + sqrt(19)).
-6328 + 5*sqrt(19)
Simplify -1 + (4 + (sqrt(3) + -2*sqrt(3) + 4 - (sqrt(3) + sqrt(3) + sqrt(6)/sqrt(18))))**2.
-160*sqrt(3)/3 + 289/3
Simplify 2 + 2 + ((sqrt(108)*-3)**2 - sqrt(108) - (-1*sqrt(75))**2).
-6*sqrt(3) + 901
Simplify ((sqrt(637) + sqrt(637) + 0)*-4 + (-4*(sqrt(117) - 1*sqrt(117)))/sqrt(9))**2 + -1.
40767
Simplify -4 + (-4 + ((-2 + sqrt(931))*4)**2)*5.
-2240*sqrt(19) + 74776
Simplify (-1*(sqrt(5324) + -4*sqrt(5324)))/(sqrt(48)/(sqrt(768)*4 + sqrt(12))).
1089*sqrt(11)
Simplify -1 + (sqrt(14)/(sqrt(12)/sqrt(6)) + -2 - (sqrt(252) + sqrt(252)*2 + sqrt(7) - (sqrt(7)*-1*3 - sqrt(7))**2)).
-18*sqrt(7) + 109
Simplify (((sqrt(330)*-2 + sqrt(330))*-6)/sqrt(10))/(1*sqrt(891)*-5).
-2*sqrt(3)/15
Simplify -2 + ((sqrt(4455) - ((sqrt(4455) - sqrt(4455)*2) + sqrt(4455))) + sqrt(4455) - sqrt(4455))/sqrt(5)*1.
-2 + 9*sqrt(11)
Simplify 3 + ((sqrt(136)*-2*4 + sqrt(136) - sqrt(136) - sqrt(136))*-3)/(sqrt(24)/(sqrt(147)*2 + sqrt(147) - sqrt(147))).
3 + 378*sqrt(17)
Simplify (sqrt(220) - -1*sqrt(220))/sqrt(5) + -2 + (sqrt(99) - -1*sqrt(99))**2 + sqrt(99).
7*sqrt(11) + 394
Simplify ((sqrt(36) + sqrt(216)/sqrt(6))*2*4)/(1*(sqrt(12) + 1*sqrt(432) + sqrt(12))).
2*sqrt(3)
Simplify (-4 + sqrt(288) + 4 + 1 + (sqrt(288)*-1 + sqrt(288))*-2*4)**2.
24*sqrt(2) + 289
Simplify (3*sqrt(880))/sqrt(5) + (sqrt(275)/sqrt(5)*-1)/sqrt(5).
11*sqrt(11)
Simplify (sqrt(228) + 1*sqrt(228)*-1 + (-1*sqrt(228) - sqrt(228))*-2)/(5*sqrt(24)/sqrt(2) - 1*sqrt(192)).
4*sqrt(19)
Simplify 1*((sqrt(68)*-4)/sqrt(4) - sqrt(272)*4).
-20*sqrt(17)
Simplify 2 + -1 + 0 + (-4 + sqrt(63) + -2)**2 + -2.
-36*sqrt(7) + 98
Simplify ((sqrt(78) - (-2*sqrt(78) + sqrt(78)))*-1 + sqrt(78) - -3*(sqrt(78) + (sqrt(78) - sqrt(78)*2) - sqrt(78)))/(-2*1*sqrt(600)).
sqrt(13)/5
Simplify (1 + 0 + ((sqrt(84) - sqrt(21))/sqrt(7) - sqrt(3)) + ((sqrt(12) - sqrt(24)/sqrt(2)) + sqrt(12) - sqrt(12))/sqrt(4) + -3)**2.
4
Simplify 1*(sqrt(55)/(sqrt(22)/sqrt(2)))**2 + (sqrt(30)*2*1 - sqrt(30))/sqrt(6).
sqrt(5) + 5
Simplify ((sqrt(720) + 5)*-5 - 5*sqrt(720)*-5)**2.
-12000*sqrt(5) + 288625
Simplify (sqrt(21)/(-1*sqrt(7) - sqrt(7)) + sqrt(27)*-1 + ((sqrt(108) - (1 + sqrt(108))) + -2)**2)*6.
-21*sqrt(3) + 54
Simplify -4*(-5 + -3*sqrt(7)*-5) + -3.
-60*sqrt(7) + 17
Simplify (sqrt(228) - (3*sqrt(228)*-4 + sqrt(228)))/(sqrt(192)*-1).
-3*sqrt(19)
Simplify (-2*(5 + sqrt(720)*-2 + sqrt(720) + (sqrt(720)*-2*-3 - sqrt(720) - sqrt(720))))**2.
1440*sqrt(5) + 26020
Simplify (0 + -4*(4 + sqrt(42)/sqrt(6))**2)*2*-3.
192*sqrt(7) + 552
Simplify 2 + sqrt(13)*2 + sqrt(13) + 0 - 3*(sqrt(13) + sqrt(117))*-3.
2 + 39*sqrt(13)
Simplify 2*(1 + (-3 + (sqrt(288) - (sqrt(288)*3 + sqrt(288))*4))**2).
2160*sqrt(2) + 129620
Simplify ((4*sqrt(75)*2 - (-5 + sqrt(432) + -2))*5)**2.
9800*sqrt(3) + 60025
Simplify ((sqrt(980) + 1*sqrt(980))**2 + 5 + sqrt(980) - sqrt(980)) + ((sqrt(980) + 2 + sqrt(980))*-2 - sqrt(980))**2 + 1.
560*sqrt(5) + 28442
Simplify (5*(-3*(sqrt(637) + 1) + sqrt(637)) + -6*(-2*sqrt(637) - sqrt(637)) + 1 + sqrt(637) + 0)**2.
-1764*sqrt(13) + 51793
Simplify (-3 + 3*(-2 + sqrt(468) + -2 + sqrt(468)))*1.
-15 + 36*sqrt(13)
Simplify (-2 + 5 + (sqrt(304) + -2)*-2 + sqrt(304) + -3*(-3 + sqrt(304)) + sqrt(304))**2.
-384*sqrt(19) + 2992
Simplify (1*(0 + sqrt(539)) - (sqrt(539) + (sqrt(539) - -3*sqrt(539)*-1)))**2 - (1 + ((0 + sqrt(275))*-2 - sqrt(275))).
15*sqrt(11) + 2155
Simplify -1*sqrt(18)*2 - -3*sqrt(2)*-3*3.
-33*sqrt(2)
Simplify (sqrt(726) - (sqrt(726) + (sqrt(726) - (sqrt(726)*-2 + sqrt(726))))*5)/(1*sqrt(98) - (sqrt(128) + sqrt(128) + sqrt(128) + 2*sqrt(128))).
14*sqrt(3)/3
Simplify (sqrt(14) + -2*sqrt(504))/(sqrt(600)/sqrt(12))*5.
-11*sqrt(7)
Simplify sqrt(21)/sqrt(63) + -3 - (5 + sqrt(27)*4).
-35*sqrt(3)/3 - 8
Simplify (2 + (sqrt(70)*2*2)/(sqrt(40)/sqrt(100)))**2.
80*sqrt(7) + 2804
Simplify (2 + (sqrt(117) + sqrt(117) + 1 + 0 - (1 + sqrt(117) + 0)))**2.
12*sqrt(13) + 121
Simplify ((-6*((sqrt(119) - (sqrt(119) - 5*(sqrt(119)*-3 - sqrt(119)))) + sqrt(119) + sqrt(119)))/(-4*-2*sqrt(343)))**2.
12393/196
Simplify (sqrt(209)*-1*-4 - -2*sqrt(209)*-4)/(sqrt(396) + (sqrt(11) - sqrt(55)/(-2*sqrt(5)))).
-8*sqrt(19)/15
Simplify ((sqrt(6292) - 1*sqrt(6292)) + -1*sqrt(208)/sqrt(4))/(sqrt(4) + 3*(sqrt(12)/sqrt(3) - sqrt(4)) - (sqrt(4) + -3*-2*sqrt(4))).
sqrt(13)/6
Simplify (2*(sqrt(220) + (sqrt(220) - sqrt(220)*-1)))/((-1*sqrt(25))/sqrt(5)).
-12*sqrt(11)
Simplify 6*4*(6*(-4 + sqrt(3)) + 3)*1.
-504 + 144*sqrt(3)
Simplify (sqrt(99) - ((-4*(sqrt(99) + sqrt(99)*-2) - sqrt(99)) + sqrt(99)))/(-5*-2*sqrt(9)) + 5.
-3*sqrt(11)/10 + 5
Simplify -2 + 1 + ((sqrt(136)/sqrt(8))**2*5 - (-2 + sqrt(136)/sqrt(8))**2)*5.
20*sqrt(17) + 319
Simplify 3*((sqrt(176) - (5 + -1 + sqrt(176) - sqrt(176))) + -5*(sqrt(176) + sqrt(176) + -2))**2.
-1296*sqrt(11) + 42876
Simplify (4*(sqrt(1377) + -2)*5)**2*-4.
-2209600 + 57600*sqrt(17)
Simplify (2*sqrt(102)*6)/sqrt(6) + sqrt(17) + 1*sqrt(68)/sqrt(4) + (sqrt(2057) + 1)**2.
36*sqrt(17) + 2058
Simplify (-3 + sqrt(11) + -1 - (sqrt(44)/sqrt(4) + -1))**2 + sqrt(88)/(sqrt(48)/(sqrt(24) - sqrt(6))).
sqrt(11) + 9
Simplify -4*(3*(-2*sqrt(272) - sqrt(272))*-2 + (sqrt(272) + (sqrt(272) + -1*sqrt(272) + 2 + sqrt(272))**2 - (-5*1*sqrt(272) - sqrt(272)))).
-464*sqrt(17) - 1104
Simplify ((0 + 1*sqrt(98) + sqrt(98) - 5*(sqrt(98) + 1)) + (sqrt(98) + 0)*-6 + -2)**2.
882*sqrt(2) + 7987
Simplify (((sqrt(1500) - sqrt(1500)*3)*-6 - sqrt(1500))/((-1*sqrt(96))/sqrt(8) + (sqrt(300)*1 + sqrt(300) - sqrt(300)) + sqrt(300)))**2.
15125/81
Simplify (5*1*sqrt(160) - sqrt(160) - sqrt(160) - (((sqrt(160) - -2*sqrt(160))*-3 - sqrt(160)) + sqrt(160) - sqrt(160)))/((2*sqrt(392) + sqrt(392))*4).
13*sqrt(5)/42
Simplify ((-6*1*(-3*sqrt(66) - sqrt(66) - sqrt(66)))/(6*(sqrt(486) - (sqrt(486) + sqrt(486)*3 + sqrt(486) + sqrt(486)) - sqrt(486) - sqrt(486))))**2.
275/3969
Simplify (-4*(sqrt(1900) + sqrt(1900)*2)*5)**2 - ((sqrt(1900) - (5*sqrt(1900)*2 - sqrt(1900)))**2 - (sqrt(1900) + 2*sqrt(1900) + 1)**2).
60*sqrt(19) + 6735501
Simplify -2*(-1*(sqrt(187) + 4*(sqrt(187) + sqrt(187) + (sqrt(187) - (sqrt(187)*1 - sqrt(187))))))/(1*sqrt(11)*-1 + 5*(sqrt(22)/sqrt(2) + sqrt(11) + sqrt(11))).
13*sqrt(17)/7
Simplify -1 + ((4*(sqrt(540)*-2 + sqrt(540)) + sqrt(540))/(sqrt(588)*1))**2.
356/49
Simplify -5*(sqrt(2) + sqrt(4)/sqrt(2) - sqrt(2))**2 + 0 + (sqrt(4)/sqrt(2)*-6)**2*3.
206
Simplify (((sqrt(605) - sqrt(605)*1 - sqrt(605))*5)/sqrt(11))/(-5*1*sqrt(5) - (sqrt(5) - (sqrt(110)/sqrt(2))/sqrt(11))).
sqrt(11)
Simplify sqrt(432)/sqrt(4) + sqrt(3) + sqrt(75) + (sqrt(75)*1 - sqrt(75)) - 6*(sqrt(27) + sqrt(108)*5)/sqrt(9).
-54*sqrt(3)
Simplify 4 + (-3*4*(-3 + sqrt(468)))**2.
-5184*sqrt(13) + 68692
Simplify -5 + ((sqrt(448) - (-1 + sqrt(448)))*3 + (sqrt(448) + -1)*3)**2.
4027
Simplify (-5 + -5*(-2 + sqrt(125)*1)*-3)**2.
-5250*sqrt(5) + 29350
Simplify -3 + sqrt(91)/(sqrt(35)/sqrt(5)) + 3*(5 + sqrt(26)/sqrt(2)).
12 + 4*sqrt(13)
Simplify -3*(-4 + sqrt(833) + (1 + sqrt(833))**2 - (-4 + 2 + sqrt(833))).
-2496 - 42*sqrt(17)
Simplify (-1*(sqrt(684) + -5))**2 + ((-4*sqrt(19) + -3)*4)**2.
324*sqrt(19) + 5717
Simplify (-3*sqrt(77)*-1 - 5*(sqrt(77) + sqrt(77) + 1*sqrt(77)))/(-1*sqrt(99)*-4).
-sqrt(7)
Simplify (5 + (4*(sqrt(320) + -1) - -2*sqrt(320)*2)**2)*3.
-1536*sqrt(5) + 61503
Simplify 2*(3 + (5*sqrt(144)/sqrt(3) - sqrt(48)))**2*-4.
-6216 - 768*sqrt(3)
Simplify (sqrt(288) + 0 - (sqrt(20)/(sqrt(20)/sqrt(2)))**2 - ((1 + sqrt(2))*-1 - sqrt(8)/(sqrt(8)/sqrt(2)))) + 5.
4 + 14*sqrt(2)
Simplify (sqrt(119)*1*5 + (1*sqrt(119) + sqrt(119))*-1)/(6*(sqrt(70)/sqrt(2))/sqrt(5)).
sqrt(17)/2
Simplify 1 + (1*sqrt(190)*-3)/(sqrt(1000) + (sqrt(1000) - sqrt(1000)*1) + sqrt(1000)).
-3*sqrt(19)/20 + 1
Simplify (-2*sqrt(396)*-2 - -2*sqrt(396)*-1) + 3.
3 + 12*sqrt(11)
Simplify (-3 + -2*(-2*sqrt(162) + 0 - (-3 + sqrt(162)*-2 + sqrt(162))))**2.
-324*sqrt(2) + 729
Simplify ((5*(sqrt(66) + 2*sqrt(66) + sqrt(66)) - (4*2*sqrt(66) - sqrt(66)))/(sqrt(36)/(sqrt(6) - sqrt(12)/sqrt(128))))**2.
91091/64
Simplify (sqrt(108) - (sqrt(108) + ((sqrt(108) - 2*sqrt(108))*-1 + sqrt(108) - sqrt(108))))/(sqrt(96)*6).
-sqrt(2)/8
Simplify (-2*(sqrt(143) + -2*sqrt(143))*2)/((sqrt(396)/sqrt(36))/sqrt(4)) + -4.
-4 + 8*sqrt(13)
|
{
"pile_set_name": "DM Mathematics"
}
|
4
-30
75 (base 11) to base 10
82
0 (base 12) to base 16
0
-1 (base 6) to base 7
-1
Convert 4 (base 5) to base 15.
4
What is -43 (base 10) in base 12?
-37
0 (base 11) to base 7
0
9 (base 15) to base 6
13
Convert -32 (base 5) to base 7.
-23
Convert -10 (base 12) to base 13.
-c
Convert -2c (base 15) to base 9.
-46
-125 (base 8) to base 15
-5a
What is -4 (base 10) in base 12?
-4
Convert 303 (base 4) to base 14.
39
1 (base 10) to base 4
1
37 (base 10) to base 15
27
Convert 8 (base 16) to base 5.
13
Convert 10001 (base 2) to base 15.
12
Convert -6 (base 9) to base 4.
-12
Convert -6 (base 13) to base 5.
-11
What is 3d (base 14) in base 12?
47
Convert -2 (base 12) to base 13.
-2
-30 (base 11) to base 4
-201
Convert 99 (base 11) to base 13.
84
What is -70 (base 14) in base 7?
-200
-3 (base 12) to base 13
-3
What is -4 (base 9) in base 4?
-10
-114 (base 13) to base 12
-136
What is -44 (base 5) in base 12?
-20
20 (base 5) to base 9
11
Convert 61 (base 10) to base 15.
41
3 (base 14) to base 12
3
0 (base 7) to base 3
0
What is 4 (base 5) in base 16?
4
What is -2 (base 3) in base 8?
-2
10 (base 3) to base 12
3
What is -3 (base 15) in base 10?
-3
Convert -11 (base 12) to base 4.
-31
What is -11 (base 9) in base 2?
-1010
111 (base 2) to base 5
12
1 (base 4) to base 7
1
What is 5 (base 8) in base 13?
5
What is -5d (base 14) in base 3?
-10002
What is 3 (base 15) in base 10?
3
53 (base 12) to base 16
3f
What is -100011001 (base 2) in base 11?
-236
-11 (base 5) to base 12
-6
What is -1 (base 7) in base 15?
-1
Convert 3b (base 13) to base 11.
46
Convert -2 (base 11) to base 14.
-2
What is 3 (base 6) in base 14?
3
-31 (base 6) to base 9
-21
Convert -1 (base 11) to base 16.
-1
Convert b (base 16) to base 3.
102
3 (base 11) to base 16
3
1001 (base 2) to base 14
9
What is -11011 (base 2) in base 14?
-1d
-7 (base 14) to base 16
-7
Convert -79 (base 14) to base 12.
-8b
Convert 1211 (base 3) to base 7.
100
Convert -443 (base 6) to base 4.
-2223
Convert -122 (base 6) to base 14.
-38
Convert -1322 (base 4) to base 9.
-145
Convert -1 (base 13) to base 5.
-1
Convert -5 (base 11) to base 6.
-5
What is -33 (base 14) in base 15?
-30
What is -2c (base 15) in base 5?
-132
Convert 12 (base 14) to base 10.
16
What is 0 (base 7) in base 4?
0
What is -75 (base 8) in base 6?
-141
Convert 4 (base 8) to base 12.
4
1 (base 7) to base 11
1
-545 (base 7) to base 15
-138
What is -14 (base 7) in base 3?
-102
3 (base 14) to base 7
3
Convert -1000101 (base 2) to base 12.
-59
What is -17 (base 12) in base 7?
-25
Convert 7 (base 12) to base 5.
12
2011 (base 4) to base 16
85
What is -5 (base 11) in base 13?
-5
What is 10000000 (base 2) in base 10?
128
Convert 4 (base 10) to base 8.
4
1001111 (base 2) to base 5
304
-7 (base 12) to base 7
-10
What is 76 (base 13) in base 15?
67
Convert -a (base 14) to base 13.
-a
Convert -63 (base 15) to base 13.
-72
What is -35 (base 16) in base 7?
-104
-2 (base 13) to base 11
-2
What is -6 (base 15) in base 9?
-6
2 (base 4) to base 12
2
What is -9 (base 12) in base 8?
-11
What is 7 (base 13) in base 3?
21
-50 (base 7) to base 16
-23
-22 (base 3) to base 11
-8
-13 (base 7) to base 9
-11
What is -30 (base 5) in base 4?
-33
Convert -7 (base 9) to base 5.
-12
Convert 3 (base 14) to base 9.
3
-71 (base 13) to base 3
-10102
Convert 5 (base 7) to base 3.
12
Convert 0 (base 16) to base 8.
0
What is -1 (base 3) in base 7?
-1
Convert 1 (base 8) to base 5.
1
What is -1 (base 5) in base 15?
-1
Convert 0 (base 16) to base 6.
0
What is 1110111 (base 2) in base 12?
9b
14 (base 5) to base 13
9
Convert 5 (base 14) to base 10.
5
What is 5 (base 15) in base 5?
10
Convert 1 (base 15) to base 9.
1
What is 3 (base 9) in base 3?
10
What is 4 (base 14) in base 12?
4
Convert -3 (base 4) to base 3.
-10
-30 (base 7) to base 4
-111
What is 3 (base 12) in base 2?
11
7 (base 15) to base 2
111
Convert -4 (base 13) to base 15.
-4
2 (base 8) to base 11
2
What is 12 (base 6) in base 15?
8
-116 (base 10) to base 7
-224
What is -59 (base 10) in base 5?
-214
121 (base 4) to base 6
41
Convert 1111001 (base 2) to base 9.
144
What is -18 (base 12) in base 13?
-17
-11 (base 3) to base 8
-4
What is -24 (base 6) in base 8?
-20
What is 101 (base 4) in base 12?
15
What is 5 (base 10) in base 3?
12
Convert 2 (base 8) to base 12.
2
1 (base 16) to base 8
1
What is -3 (base 12) in base 3?
-10
312 (base 6) to base 15
7b
Convert 17 (base 16) to base 6.
35
-4 (base 5) to base 3
-11
110 (base 4) to base 14
16
Convert -22 (base 6) to base 14.
-10
-161 (base 13) to base 9
-305
What is -8d (base 14) in base 5?
-1000
Convert 0 (base 12) to base 5.
0
-4 (base 12) to base 15
-4
What is -7 (base 12) in base 11?
-7
What is -96 (base 14) in base 5?
-1012
Convert 9 (base 14) to base 15.
9
-3 (base 13) to base 6
-3
Convert -1324 (base 5) to base 13.
-136
Convert 19 (base 15) to base 6.
40
What is -1 (base 12) in base 8?
-1
Convert 1 (base 10) to base 9.
1
-5 (base 12) to base 7
-5
Convert 0 (base 13) to base 11.
0
What is a (base 14) in base 11?
a
What is -361 (base 7) in base 2?
-10111110
Convert -21 (base 4) to base 10.
-9
-4 (base 9) to base 15
-4
Convert -301 (base 4) to base 10.
-49
2 (base 7) to base 13
2
What is 1b (base 13) in base 4?
120
What is 77 (base 9) in base 6?
154
-3 (base 15) to base 5
-3
Convert 81 (base 14) to base 16.
71
Convert 23 (base 8) to base 13.
16
What is -10 (base 3) in base 14?
-3
What is 74 (base 11) in base 4?
1101
What is 10 (base 10) in base 2?
1010
What is -26 (base 11) in base 8?
-34
What is 30 (base 5) in base 10?
15
-16 (base 8) to base 6
-22
What is -d (base 14) in base 11?
-12
Convert 0 (base 14) to base 6.
0
-8 (base 12) to base 4
-20
What is -3 (base 6) in base 15?
-3
-a (base 13) to base 14
-a
What is 11 (base 5) in base 14?
6
What is 0 (base 5) in base 7?
0
What is -1 (base 14) in base 9?
-1
22 (base 3) to base 7
11
What is 22 (base 7) in base 9?
17
Convert -26 (base 14) to base 5.
-114
What is -3 (base 7) in base 3?
-10
What is 20 (base 5) in base 10?
10
Convert 1021 (base 4) to base 2.
1001001
What is 4 (base 6) in base 10?
4
Convert 2 (base 16) to base 2.
10
Convert 11 (base 10) to base 16.
b
Convert -10 (base 4) to base 3.
-11
What is -11 (base 7) in base 12?
-8
Convert -100111 (base 2) to base 15.
-29
What is 0 (base 16) in base 2?
0
What is -10011010 (base 2) in base 5?
-1104
What is -30 (base 9) in base 6?
-43
Convert -1001010 (base 2) to base 12.
-62
-1001100 (base 2) to base 15
-51
Convert -11 (base 8) to base 12.
-9
Convert 111 (base 5) to base 6.
51
-20 (base 13) to base 9
-28
What is -10 (base 14) in base 6?
-22
What is -46 (base 10) in base 7?
-64
Convert b (base 16) to base 9.
12
What is 8 (base 11) in base 13?
8
1010 (base 5) to base 13
a0
What is -21 (base 9) in base 4?
-103
2 (base 12) to base 5
2
Convert 53 (base 10) to base 12.
45
Convert 10 (base 15) to base 11.
14
102 (base 4) to base 7
24
-10111 (base 2) to base 11
-21
What is -126 (base 7) in base 4?
-1011
What is -41 (base 6) in base 4?
-121
Convert 136 (base 7) to base 16.
4c
Convert 2121 (base 3) to base 5.
240
Convert -136 (base 7) to base 8.
-114
Convert -2 (base 10) to base 6.
-2
10 (base 11) to base 12
b
What is -1014 (base 5) in base 7?
-251
What is 20 (base 13) in base 4?
122
What is 2 (base 16) in base 12?
2
Convert 15 (base 8) to base 7.
16
-1030 (base 4) to base 11
-6a
What is 25 (base 16) in base 11?
34
What is -3 (base 7) in base 10?
-3
-55 (base 7) to base 12
-34
1 (base 2) to base 7
1
1010111 (base 2) to base 3
10020
-127 (base 11) to base 9
-176
What is 30 (base 10) in base 11?
28
2 (base 11) to base 9
2
Convert 4 (base 8) to base 3.
11
13 (base 6) to base 7
12
What is -38 (base 9) in base 8?
-43
Convert 0 (base 16) to base 10.
0
What is 110 (base 3) in base 2?
1100
151 (base 6) to base 5
232
47 (base 8) to base 11
36
What is -163 (base 11) in base 14?
-d8
Convert 26 (base 9) to base 13.
1b
What is ce (base 16) in base 3?
21122
-3 (base 13) to base 4
-3
Convert -5 (base 6) to base 8.
-5
Convert -2 (base 5) to base 10.
-2
-100 (base 2) to base 11
-4
d (base 16) to base 2
1101
0 (base 10) to base 4
0
Convert 1 (base 8) to base 13.
1
What is 1 (base 7) in base 11?
1
1010 (base 2) to base 11
a
What is 18 (base 12) in base 10?
20
-1 (base 15) to base 4
-1
45 (base 15) to base 5
230
What is 84
|
{
"pile_set_name": "DM Mathematics"
}
|
o, 33 = 3*k + k - 5*o. Suppose -k*u - 40 = 3*u. What is the units digit of (-9)/6 - 116/u?
3
Let h(z) = 2*z**3 + 6*z**2 - 5. Let j be h(-4). Let c(u) = -u**3 - 12*u**2 - 15*u + 43. Let m be c(-7). Let v = j - m. What is the units digit of v?
0
Let m(n) = -n**2 - 34*n - 125. What is the tens digit of m(-27)?
6
Let u = -79 - -84. Suppose -u*m + 0*m = -520. What is the hundreds digit of m?
1
Suppose 0 = 4*s - 53 + 13. Let y = s + -8. Suppose y*g + 4*g - 150 = 0. What is the units digit of g?
5
Let a = 640 - 394. Suppose -a = -2*p - p. What is the units digit of p?
2
Let a(b) = -b**3 - 10*b**2 + 14*b + 18. Let n(t) = -3*t**3 - 29*t**2 + 42*t + 53. Let f(w) = -8*a(w) + 3*n(w). What is the tens digit of f(-9)?
5
Let t(s) = 5*s**3 + 2*s**2 - s + 2. Let g(h) = -6*h**3 - h**2 - 2. Let c(i) = -6*g(i) - 7*t(i). Let n be c(7). Let a = n + 13. What is the units digit of a?
1
Suppose 1783 = 7*x - 1927. Suppose 4*g - x = 402. What is the hundreds digit of g?
2
Suppose -15*u = -28*u + 78. Suppose -4*x + u + 6 = 0. What is the units digit of x?
3
Suppose -3*b - 4*x - 8 = 0, 2*b - 4*x = -0*b + 28. Suppose 5*h + 4*o - 901 = 0, -b*o + 2 = -14. What is the hundreds digit of h?
1
Let m(x) = -1 - 14*x - 2 - 10*x. Suppose 82*p - 72*p = -20. What is the units digit of m(p)?
5
Suppose u + 2 = 0, -2*t - 2*t + 5*u = -34. Suppose 3*n = 3*v - 14 - 4, n - 4*v = -t. What is the units digit of 27/n*2*-1?
9
Let g = -25 + 41. Let f = g - 5. Let q = f - -6. What is the units digit of q?
7
Suppose -5*a = -11*a + 18. Suppose -4*k = a*f - 202, -5*f - 5*k = 114 - 454. What is the units digit of f?
0
Let h = -3 + 6. Let v be 8 + -3 + 3 + h. Suppose -2*x + v + 45 = 0. What is the tens digit of x?
2
What is the units digit of (362 - (-1 - -5) - -2)*5?
0
Suppose 13 = 7*u - 99. Let k = -14 + 73. Suppose -k = u*m - 17*m. What is the units digit of m?
9
Let d be (-2)/2 + 2 + 5. Let v be 3 - 26*(-3)/d. Suppose x = 2*x - v. What is the units digit of x?
6
Let i be 0 + 1 + (5 - -3 - 5). Suppose i*d - 4*f = 172, -3*d - d + f = -166. What is the tens digit of d?
4
Let t(c) = -196*c - 62. What is the units digit of t(-3)?
6
Suppose 0 = -3*a + 35 - 8. Suppose 13*h - 204 = a*h. What is the units digit of h?
1
Let c = 2300 + -1580. What is the tens digit of c?
2
Let q(s) be the third derivative of s**4/24 + 2*s**3/3 - s**2. Suppose -3*c = 3*j - 39, 11 = 2*c - 5*j - 1. What is the tens digit of q(c)?
1
Let d(a) = 64*a**2 - 13*a + 49. What is the units digit of d(3)?
6
Suppose 0 = 4*w - 4*d - 0*d - 268, 66 = w - 2*d. Let n = w - -18. What is the units digit of n?
6
Let s = 44 + -40. Suppose 0 = -s*q + 237 - 101. What is the tens digit of q?
3
Suppose 4*h - 3*h + 19 = 0. Let o = h + 3. Let z(x) = x**2 + 13*x + 15. What is the tens digit of z(o)?
6
What is the hundreds digit of 12/6*27709/22?
5
Suppose -292*s + 303*s = 11671. What is the thousands digit of s?
1
Let t(o) = -o**3 + 7*o**2 + 3*o - 7. Suppose 15 = 4*a - 37. Suppose -2 = -3*u + a. What is the units digit of t(u)?
8
What is the units digit of 40*517/6 + 180/(-108)?
5
Suppose -f = -j + 532, 2*j + 2*f - 1116 + 52 = 0. What is the hundreds digit of j?
5
Suppose -4373 + 1498 = -5*u. What is the units digit of u?
5
Suppose 11*q + 2*p = 15*q - 2030, 0 = -5*q + p + 2545. What is the hundreds digit of q?
5
Let k(m) be the second derivative of m**5/20 - m**4/2 + m**3/6 - 9*m. What is the units digit of k(6)?
6
What is the tens digit of (-5 - (-22)/8)*1696/(-6)?
3
Suppose -5 = -66*z + 65*z. Suppose 363 = z*c - 1067. What is the tens digit of c?
8
Let s(d) = 14*d. Let j(w) be the third derivative of 5*w**4/8 + w**3/6 - 3*w**2. Let q(u) = 4*j(u) - 5*s(u). What is the tens digit of q(-4)?
4
Suppose -x = -3*q - 0*x + 24, 0 = -4*x. Let w be 2/q + (-14)/(-8). Suppose 0 = 4*i - m - 57, w*i + 4*m = 6*i - 72. What is the units digit of i?
3
Let m(c) = 12*c**2 + 2*c + 9. Let j(k) = 13*k**2 + 3*k + 8. Let p(u) = 5*j(u) - 4*m(u). What is the units digit of p(-2)?
8
Suppose 78 + 5192 = 3*j + y, 3*y + 12 = 0. What is the thousands digit of j?
1
Let l(f) = -30*f + 8. Let h be l(-4). Let w = h + -54. What is the tens digit of w?
7
Suppose -2*i + 15 = -2*k + 3*i, i - 3 = k. Suppose 0 = -o - 36 + 42. Suppose k = o*b - 118 - 80. What is the units digit of b?
3
Let l = -1845 - -2619. What is the units digit of l?
4
Let i be 269/(1*((-12)/(-4) + -2)). Let s = 398 - i. What is the units digit of s?
9
Let v(i) = i**3 + 35*i**2 - 6*i - 56. What is the hundreds digit of v(-35)?
1
Let h(g) = 34*g**3 - 4*g + 3. What is the tens digit of h(2)?
6
Let i = 739 - -248. What is the tens digit of i?
8
Let g(a) = -21*a - 34. What is the hundreds digit of g(-8)?
1
Let r = -576 - -1160. What is the hundreds digit of r?
5
Suppose 4*k - 17168 = -4*k. What is the hundreds digit of k?
1
Let t(b) = b - 1. Let d be t(6). Suppose -3 = 5*f + 2*m - 31, 0 = 5*f - d*m. Suppose 2*v = f*v - 36. What is the units digit of v?
8
Let t(d) = -d + 2. Let p be t(-3). Let l = p - 2. Suppose -4*v + 84 = 4*g - 40, l*v - g - 81 = 0. What is the units digit of v?
8
Let m = 1620 - 384. What is the units digit of m?
6
What is the thousands digit of (-43 - -46)*(-4100)/(-6)?
2
Suppose 0 = -18*a + 16*a - 3*p + 3125, 6260 = 4*a + 4*p. What is the hundreds digit of a?
5
Suppose -2*f + 46 - 14 = 0. Suppose -f*c + 17*c = 4. Suppose 2*l + c*l = 72. What is the tens digit of l?
1
Let c(g) = -2*g**2 - 81*g + 14. Let t(a) = -a**2 - 27*a + 4. Let q(l) = -3*c(l) + 8*t(l). What is the units digit of q(9)?
1
Suppose f + 2*f = -4*b - 5, 3*b + 3*f = 0. Let c(d) = 5*d**2 - 6. What is the units digit of c(b)?
9
What is the units digit of (-4)/10 - (-885)/25?
5
Let g be (-2)/(6/9) - -3. Suppose g = -3*d - 4*v + 97, 4*d - 2*d - 3*v = 42. Suppose -22*c - 35 = -d*c. What is the units digit of c?
7
Let a = -43 - -45. Suppose a*p - 245 = -95. What is the units digit of p?
5
Let g(x) = -2*x + 101. What is the units digit of g(14)?
3
Let i = -13 + -38. Suppose n + 360 = 10*m - 6*m, -5*m + 450 = -n. Let t = i + m. What is the tens digit of t?
3
Let y = 101 - -12. Suppose 2*a = y + 155. What is the hundreds digit of a?
1
Let o(d) = -d + 7. Let i be o(4). Suppose -5*r = -3*r - 90. Suppose -y = 3*a - 10, y - i*a = a + r. What is the units digit of y?
5
Suppose -4*p = 24 + 84. Let o = p + 45. What is the tens digit of o - (-1 - (-4 - -3))?
1
Let x(v) = 0*v + 2 - v**2 + 27*v**3 + v - 31*v**3. What is the units digit of x(-1)?
4
Let n be -3*(-4)/3 - (21 + -20). What is the units digit of 4/n*42 + -1 + -1?
4
What is the tens digit of 10/(-4)*70480/(-200)?
8
Let d = -801 + 1370. What is the hundreds digit of d?
5
Let w = 26 + -20. Suppose w*i - 8 = 5*i. Suppose 4*x - i = -0*x. What is the units digit of x?
2
Suppose -74*d = -183195 - 6985. What is the hundreds digit of d?
5
Let f(q) = 5*q**2 + 2*q**3 + 12 + 3*q - 3*q**3 + q**2 - 8. What is the tens digit of f(5)?
4
Let p = 294 - 116. What is the tens digit of p?
7
Let i(w) = 6*w**3 + 3*w**2 + 4*w + 2. Let y be i(-2). Let s = y + 144. What is the tens digit of s?
0
Let i(y) = y**3 + 6*y**2 - y + 4. Suppose 9 = d - 4*r, 0 = -4*d - 6*r + r - 27. Let w(j) = -j. Let q(g) = d*w(g) + i(g). What is the tens digit of q(-5)?
1
Let t = -260 - -1341. What is the units digit of t?
1
What is the units digit of ((-3)/((-9)/32))/(4/642)?
2
Let c = -20 + 23. Let b be (54/15)/((-2)/(-10)). What is the units digit of 1*b + 0/c?
8
Suppose -41*f + 2 = -39*f. What is the units digit of (-3)/(1*f/(-3))?
9
Suppose -96 = -7*i - 5*i. Suppose 2 + 6 = i*s. What is the units digit of s?
1
Suppose 2*x = -2*u + 978, -5*u = 3*x + 1386 - 3837. What is the units digit of u?
2
Let w be 9/18*(-613)/2*4. Let r = -339 - w. What is the tens digit of r?
7
Let u be 10/(-85) + (-308)/(-17). Let y = u + -21. Let a = 11 + y. What is the units digit of a?
8
Let w be -1 + 1/((-1)/31). Suppose 3*x + 0*x = 162. Let p = x + w. What is the tens digit of p?
2
Suppose -4*v - 24 = -3*t, -5*t + 6*t - 4*v - 8 = 0. Suppose -133 = t*l - 925. What is the tens digit of l?
9
Let d(c) = 3*c - 4. Let i be d(1). Let z(o) = 9*o - 1 + 1 + 11*o**2 - 7*o + 1. What is the tens digit of z(i)?
1
Let n(r) = 25*r**2 - 17*r + 23. What is the units digit of n(6)?
1
Suppose 30 = 3*d - 2*a, -4*d + 0*d + 44 = -4*a. Let h be d - -2*(-9)/6. Suppose 2*m = h*z + 61, -5*m +
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 0.161 (b) n (c) 0.2
c
Let i = 11 + -11.03. Let d = 0.13 + i. Let p = -565.2 - -565. Which is the second smallest value? (a) d (b) p (c) -1/9
c
Let o = -87295 + 434973/5. Let p = -297 - o. Which is the third biggest value? (a) -4 (b) 0.4 (c) p
a
Let o = 34.04 - 27.04. Which is the third biggest value? (a) -2/3 (b) o (c) 3 (d) 5
c
Suppose 2*y - 3 = 3. Let r be (y - 3) + (-12)/(-1950). Let i = r - 4/25. What is the biggest value in -2, 0.5, i, -5?
0.5
Let i = 1622 + -1627.928. Let v = i - 0.372. What is the smallest value in 3, v, -1?
v
Let d = -200.6 + 213. Let j = d + -13.4. What is the second smallest value in 2/7, 0, j?
0
Let p = 371 + -371.15. Let x = 14 - 13.55. Let o = p + x. What is the third smallest value in -16/9, o, 2/7?
o
Let j(s) = -s**2 + 268*s + 540. Let z be j(-2). Which is the third biggest value? (a) 9 (b) z (c) -5 (d) -0.9 (e) -6
d
Let x = 2 + -5. Let t(n) = 12*n - 83. Let m be t(15). Suppose -7*f - m = 1. What is the smallest value in f, x, 0.4?
f
Let g = 20 - 24. Suppose 4*y + 3*z = 2*y - 6, 12 = -y + 3*z. Which is the second smallest value? (a) -1 (b) y (c) 0.4 (d) g
d
Let r = -2502.6 + 2503. What is the second biggest value in 0.05, 0.5, -1, 5, r?
0.5
Let u = 76/351 - 10/27. Let v(q) = -q**2 + 2*q - 1. Let p be v(0). What is the biggest value in 0.06, u, p?
0.06
Let x = -1.9558 - -2.2558. Which is the third biggest value? (a) 1.007 (b) x (c) -4/3
c
Let f = 1279.172 - 1279. Which is the second biggest value? (a) 1 (b) 2/11 (c) f (d) -5/9
b
Let h(d) = -253*d + 1513. Let m be h(6). What is the second smallest value in 5/3, m, 5, -276, 3?
m
Suppose -z - 12 = -2*z. Let v be 6/z - 963/114. Let h = 8 + v. Which is the second smallest value? (a) -2 (b) -1/3 (c) h
b
Let q(v) = v**3 + v**2 + 5. Let w be q(0). Let j = -1.0739 - -0.0739. Which is the second biggest value? (a) -0.5 (b) j (c) w
a
Let c = -1956 - -1837.9. Let y = -118 - c. Let m = -0.1 + 0.6. What is the second smallest value in 3/5, m, 1, y?
m
Let m = -18.2 - -18. Let h(j) = -2*j**3 + 147*j**2 + 69*j + 366. Let t be h(74). Which is the second smallest value? (a) t (b) -0.1 (c) m (d) 0.5
c
Let y be 2/((-19)/(-38)*-6). Suppose 4 + 6 = -2*q - 3*m, 2*m = -4. Let w be -8*q*(-2)/(-8). Which is the smallest value? (a) y (b) w (c) -7 (d) -2
c
Let k = -8741 - -78671/9. Let w = 0.7 - 0.9. What is the second biggest value in k, w, 7, -2/5?
k
Suppose 264 = -u + 3*u. Let a be 3 + (1 - 700/u). Let h = -18/11 - a. What is the third biggest value in 0.3, -1, h, 6?
h
Let y = 4 + -13/3. Let h be (1 + 1)*(-6 - (-1162)/196). What is the second biggest value in h, 23/3, y?
h
Let n = -10112 + 30340/3. Which is the smallest value? (a) -2/5 (b) n (c) 1 (d) -2 (e) -2/51
d
Let o = -1907 + 1910. What is the third smallest value in o, 0.7, -0.09, 2.3?
2.3
Let t = 219 - 223. Let y be (-72)/(-108)*(-2)/t*-5. What is the second biggest value in 3/8, y, -19?
y
Let j be -18*(45/30)/3. Which is the second smallest value? (a) -5/8 (b) -4 (c) j
b
Let o = 11.9 + -6.9. Let k = 70.06 + -70.1. Which is the fourth biggest value? (a) o (b) k (c) 2/23 (d) 3/4
b
Suppose -2*l + 2*m = 44, -34 = 4*l - 2*l - 4*m. Let q be 4 + (l/4 - 1) + 4. What is the biggest value in 4/7, q, 0.2?
4/7
Let o(y) = -90*y**2 - 455*y - 26. Let w be o(-5). What is the second biggest value in -3, 35, w?
w
Let j = -973 - -978. Which is the third biggest value? (a) j (b) -4 (c) -3 (d) 1.2 (e) -5
c
Let v = -177.26 - -176.76. What is the third biggest value in v, -11/5, -7/8?
-11/5
Let w = 81.824 + 0.176. Let k = w + -221. Let q = k + 140. Which is the second biggest value? (a) q (b) 10 (c) -2
a
Let r = -48269 + 47460. What is the smallest value in r, 5/3, -3/7?
r
Let z = 3.963 - 4.263. What is the smallest value in 3/5, 29/5, 5, -1/11, z?
z
Let q = -2159/10 - -1077/5. What is the fifth biggest value in -3, q, -1, 1, -5.3?
-5.3
Let o = -0.51 - 7.09. Let y = 50.3 - 53.9. Let j = o - y. Which is the smallest value? (a) j (b) 7 (c) -2/9 (d) 2/9
a
Let b = 886 + -888. Let n = 2.8 + -2.69. Let j = -0.89 - n. What is the third smallest value in j, 0.3, b, 0.1?
0.1
Let f = 4583 + -4585. What is the fourth biggest value in -2/3, 0.5, f, -0.2?
f
Let l = -3664.6 + 3664.5. Which is the biggest value? (a) 0 (b) 100 (c) l (d) -2/5 (e) 4
b
Suppose 4 = -0*g + 2*g - 4*w, 3*g - 5*w = 4. Let p be (-4515)/150*(-1)/7. Let d = p + -62/15. What is the second biggest value in 3/2, g, d?
d
Let z = -252 - -179. Let k = z - -76. What is the smallest value in -3, 0, k, -4?
-4
Let j = 4 + -3.8. Let y = -132.819 + 133. Let x = 0.919 + y. What is the second smallest value in x, 3/7, j?
3/7
Let f = 36116 - 36114. What is the third biggest value in f, 0.1, 1.5, -4/5, 32?
1.5
Let o = 5 - 10. Suppose 3*s + 30*k - 31*k + 13 = 0, 4*k = 14*s + 54. What is the fourth biggest value in s, 0, 3, o?
o
Let u = 0.83 - 0.43. What is the fourth smallest value in 4, 0.04, u, -2, -1?
u
Let i = -1.3 + -5.7. Let b be 1/((-9)/2) + (-449328)/(-1188). Let g be (b/(-77) + 5)*-2. What is the smallest value in i, g, 0?
i
Let t = -159.54 + 154.54. Which is the biggest value? (a) 11 (b) t (c) 7/5 (d) 0.3 (e) -2
a
Let h be ((-2)/20)/(2/(-164)). Let x = -7.9434 - -2.9793. Let g = -0.0359 + x. Which is the third smallest value? (a) -4 (b) h (c) g
b
Suppose 26*q = 225*q - 1194. What is the third biggest value in 4, -3/7, -5, 0, q?
0
Let z = 0.101 + -140.101. Let y = 119 + z. Which is the second biggest value? (a) -4/7 (b) -3 (c) y
b
Let p = 30568 + -30570.9454. Let u = p - 0.0546. What is the smallest value in u, 0.363, 0.1?
u
Let b be -24 - (-1843)/76 - 2/(-24). What is the third smallest value in 6/13, 0, 83, b?
6/13
Let o be ((-80)/(-24))/((-1680)/288). What is the smallest value in -0.122, -0.12, o?
o
Let x be (-632)/420 - -2 - (6084/378 + -16). Let g(v) = -v**3 + 6*v**2 + 7*v - 4. Let o be g(7). What is the third smallest value in 0.2, x, o, -3?
0.2
Let r = -0.28 - -0.204. Let h = r + 0.056. Let j = 91/2 - 45. Which is the third biggest value? (a) j (b) -2/11 (c) 0.3 (d) h
d
Let g = 179793/7 + -25685. Which is the third smallest value? (a) 0 (b) g (c) -1/2 (d) 10/7
a
Let o be (99/(-6))/((-1)/14). Let z be -48*(-28)/o + -6. What is the smallest value in 0.4, -4, -1/6, z?
-4
Let u = -0.1104 + 240.6104. Let h = u + -237. What is the second biggest value in h, -2, 1/9?
1/9
Let z = 886/669 + 2/223. Let n = -0.9172171 - 0.0827829. Which is the third smallest value? (a) -5 (b) n (c) z (d) -10
b
Let l = -3976 + 3978. Which is the second smallest value? (a) -2 (b) -0.2 (c) -17/52 (d) l
c
Let f = -23.52 - -20.4. Let o = 3.12 + f. Let w = 119/6 - 20. What is the third biggest value in 6, w, o?
w
Let u = -29436 - -29437. What is the second smallest value in u, 3, -8731?
u
Let m = 1.1 + -0.1. Let c be (2 + -9)*(-4 - 240/(-105)) - 2. Let u = 5.08 + -0.08. What is the biggest value in m, u, c?
c
Let z = -7.1 + 19.2. Let i = -16.1 + z. Which is the second biggest value? (a) -1 (b) 4/9 (c) i
a
Let f = -6194 + 6434. Which is the biggest value? (a) -5 (b) f (c) -3 (d) -2/5
b
Suppose -225 = -5*b - 675. Suppose 403 = 11*v - 653. Let r = b + v. What is the second smallest value in -3/2, r, 4?
4
Let v = -41 + 411/10. Let z(x) = x**3 + 13*x**2 + 13*x + 13. Let q be z(-12). Let s be (19/(-190))/(q/(-4)). What is the fourth smallest value in v, s, 4, 1?
4
Let h = 24.5 - 20.48. Let y = 0.02 - h. Suppose -128*d = -3*x - 124*d + 6, 0 = -x + 5*d + 13. What is the second biggest value in y, x, 2?
x
Let j be (884/16)/(8/32). Let q = -219 + j. Let m = 0.5 + 0. Which is the fourth biggest value? (a) 1 (b) q (c) 4 (d) m
d
Let h be (-4)/5 + (-2 - -3). Let n = -16154/3 + 5386. Which is the second biggest value? (a) h (b) n (c) -5 (d) 10
b
Let n = 46 - 185/4. Let q = 62563 - 62563.2. Which is the second smallest value? (a) -5 (b) q (c) n
c
Let h = 2530.97 - 2531. Suppose 5*n = 7 + 3. Which is the fourth biggest value? (a) -1/4 (b) n (c) h (d) 2/11
a
Suppose -4*y + 14 = -2*k, 3 = -k - 2*y - 4. Let u be (9 + -1 + k)/(-33). What is the third smallest value in u, 0.1, -3?
0.1
Let a be (-57)/(-76) - 1269/12. Let f be 14880/a + 2/(-7). What is the smallest value in f, 0.4, 5?
f
Let w = 7.5 + -2.5. Let g be (-8)/20 +
|
{
"pile_set_name": "DM Mathematics"
}
|
y: 11, o: 1}. Give prob of sequence yy.
55/153
What is prob of sequence pz when two letters picked without replacement from {p: 9, z: 5}?
45/182
Two letters picked without replacement from {x: 7, h: 2, k: 1}. Give prob of sequence hk.
1/45
Two letters picked without replacement from xqqctjgc. What is prob of sequence ct?
1/28
Calculate prob of sequence lhhh when four letters picked without replacement from lllllhlllhh.
1/165
Calculate prob of sequence lyyy when four letters picked without replacement from vyyyzvmyvlykyyyymyyy.
11/969
Calculate prob of sequence ppmm when four letters picked without replacement from {p: 5, l: 5, r: 1, m: 8}.
35/2907
Three letters picked without replacement from {v: 3, x: 2, k: 6, e: 6, g: 2}. What is prob of sequence vkx?
2/323
What is prob of sequence xfge when four letters picked without replacement from aaagfafaaaxafeaxaag?
1/7752
Two letters picked without replacement from nytytn. Give prob of sequence ny.
2/15
Calculate prob of sequence xv when two letters picked without replacement from {x: 4, v: 10}.
20/91
Four letters picked without replacement from {p: 2, x: 1, u: 11}. What is prob of sequence upuu?
15/182
Calculate prob of sequence fssl when four letters picked without replacement from mrrfmmsmsmmlmrfmmmfl.
1/9690
Four letters picked without replacement from kknhhkjnmk. What is prob of sequence mkkn?
1/210
Two letters picked without replacement from sssqqsgeqssqqgg. Give prob of sequence gg.
1/35
What is prob of sequence oo when two letters picked without replacement from ooooooo?
1
Four letters picked without replacement from gagggaaaagggagaaggag. Give prob of sequence gaag.
22/323
Two letters picked without replacement from {w: 6, b: 4, o: 2, n: 1, d: 7}. Give prob of sequence wb.
6/95
Four letters picked without replacement from {y: 2, e: 1, s: 4, d: 1, n: 9}. What is prob of sequence eysy?
1/7140
Four letters picked without replacement from {i: 1, m: 2, r: 6, z: 3}. Give prob of sequence mizz.
1/990
Four letters picked without replacement from yfyywfwyi. What is prob of sequence ywiy?
1/126
Three letters picked without replacement from inbnbinbibibb. Give prob of sequence bbb.
10/143
What is prob of sequence vq when two letters picked without replacement from kjkvqj?
1/30
Two letters picked without replacement from mdgmgmcmgcmgcgqgqm. What is prob of sequence qm?
2/51
Calculate prob of sequence kfjc when four letters picked without replacement from {j: 3, k: 4, c: 2, d: 1, f: 1}.
1/330
Two letters picked without replacement from hvj. What is prob of sequence vh?
1/6
What is prob of sequence hh when two letters picked without replacement from sslshlmhhssms?
1/26
Calculate prob of sequence gn when two letters picked without replacement from {n: 3, m: 2, r: 1, a: 1, g: 2, i: 3}.
1/22
What is prob of sequence vy when two letters picked without replacement from vvcvcyvtccdfcv?
5/182
Calculate prob of sequence gg when two letters picked without replacement from eekeegoegeekekk.
1/105
Calculate prob of sequence kvvv when four letters picked without replacement from kvvvkkskvk.
1/42
Four letters picked without replacement from {m: 2, k: 2, z: 1, l: 3, q: 2, g: 2}. What is prob of sequence lzgk?
1/990
Four letters picked without replacement from {l: 6, c: 12}. Give prob of sequence cclc.
11/102
Calculate prob of sequence ih when two letters picked without replacement from iiiiiiiiihhiiihihihi.
15/76
Calculate prob of sequence bggg when four letters picked without replacement from {b: 7, g: 3}.
1/120
Calculate prob of sequence hi when two letters picked without replacement from iiiiiihiiiiii.
1/13
What is prob of sequence sl when two letters picked without replacement from lsss?
1/4
What is prob of sequence dqg when three letters picked without replacement from gippiqtdpgppppppip?
1/2448
Two letters picked without replacement from xqlvm. What is prob of sequence qx?
1/20
Three letters picked without replacement from {c: 1, b: 6, p: 3, l: 3, k: 1}. Give prob of sequence blb.
15/364
Three letters picked without replacement from qqpqqqppqqppqpqp. What is prob of sequence qpp?
9/80
Calculate prob of sequence qe when two letters picked without replacement from {e: 5, q: 7}.
35/132
Calculate prob of sequence cwww when four letters picked without replacement from cccccwccccwcc.
0
Two letters picked without replacement from {q: 1, o: 2, h: 1, p: 1, z: 4}. Give prob of sequence pz.
1/18
Calculate prob of sequence ra when two letters picked without replacement from {e: 2, r: 1, a: 1, l: 1, g: 1, m: 2}.
1/56
Two letters picked without replacement from iiiliirriiiirr. Give prob of sequence li.
9/182
Two letters picked without replacement from mmdbmdmdbbb. Give prob of sequence bd.
6/55
Calculate prob of sequence yi when two letters picked without replacement from {i: 1, y: 7}.
1/8
Two letters picked without replacement from vvrvvr. What is prob of sequence rv?
4/15
Calculate prob of sequence zzh when three letters picked without replacement from {z: 2, h: 1, s: 2}.
1/30
Four letters picked without replacement from {m: 8, b: 3}. What is prob of sequence bmbb?
1/165
What is prob of sequence qqa when three letters picked without replacement from {a: 1, q: 11}?
1/12
What is prob of sequence vx when two letters picked without replacement from cssxvixa?
1/28
Calculate prob of sequence trvd when four letters picked without replacement from rdvddmmrvstddddvmv.
7/9180
Three letters picked without replacement from {c: 1, h: 2, w: 1, y: 1}. Give prob of sequence cyh.
1/30
Calculate prob of sequence joo when three letters picked without replacement from {o: 3, j: 5}.
5/56
Three letters picked without replacement from {t: 2, z: 10}. Give prob of sequence tzz.
3/22
Two letters picked without replacement from {j: 5, x: 5, f: 4, y: 1, d: 2, c: 3}. What is prob of sequence dj?
1/38
Calculate prob of sequence me when two letters picked without replacement from egemqcqqqq.
1/45
Three letters picked without replacement from dwwwwd. Give prob of sequence dwd.
1/15
What is prob of sequence zd when two letters picked without replacement from nzndyddnnnzndnnddd?
7/153
What is prob of sequence uf when two letters picked without replacement from cwwfcucccwucuccucu?
5/306
What is prob of sequence ee when two letters picked without replacement from eexexeee?
15/28
Calculate prob of sequence apim when four letters picked without replacement from ppaaippipmp.
1/330
Calculate prob of sequence yq when two letters picked without replacement from qqyqqqqqqqyqqyqq.
13/80
Two letters picked without replacement from {a: 8, w: 2, p: 2}. Give prob of sequence pa.
4/33
Two letters picked without replacement from siipjji. What is prob of sequence jj?
1/21
What is prob of sequence yy when two letters picked without replacement from yyyyy?
1
Two letters picked without replacement from rrrjrrrjjr. What is prob of sequence rr?
7/15
Two letters picked without replacement from hyhyy. Give prob of sequence yy.
3/10
What is prob of sequence jj when two letters picked without replacement from wwjwwwwwjwwj?
1/22
Calculate prob of sequence xt when two letters picked without replacement from xtttttttttttttxttttt.
9/95
Calculate prob of sequence qrxu when four letters picked without replacement from rqxxeqquq.
1/378
What is prob of sequence ve when two letters picked without replacement from {v: 2, x: 1, a: 1, e: 1, u: 1, q: 1}?
1/21
Three letters picked without replacement from {x: 5, c: 4, t: 1, q: 8}. Give prob of sequence ccc.
1/204
Calculate prob of sequence ee when two letters picked without replacement from {e: 3, x: 2, m: 3, y: 11}.
1/57
Calculate prob of sequence lx when two letters picked without replacement from {i: 1, l: 3, p: 5, o: 2, y: 1, x: 1}.
1/52
Two letters picked without replacement from {n: 5, q: 1, g: 1, w: 1, m: 1}. What is prob of sequence gw?
1/72
What is prob of sequence yy when two letters picked without replacement from {y: 3, r: 7, v: 1, x: 6}?
3/136
Calculate prob of sequence rh when two letters picked without replacement from {o: 7, j: 1, f: 2, m: 1, h: 2, r: 4}.
1/34
Calculate prob of sequence uiu when three letters picked without replacement from iuippppippuiwiiuui.
7/408
Calculate prob of sequence nnmw when four letters picked withou
|
{
"pile_set_name": "DM Mathematics"
}
|
r**4 + 4*r as s + v*r + y*r**4 + l*r**3 + b*r**2 and give s.
0
Rearrange 1300*z + 726*z + 1271*z - 1037*z to the form x + w*z and give w.
2260
Rearrange 1 - 1 + 25973*s**2 - 3*s - 25976*s**2 to p*s**2 + k + d*s and give k.
0
Express -887*w + 26852 - 26852 as m + j*w and give j.
-887
Express (-2*c - 2 + 2)*(c**3 - 2*c**3 - c**3) + (24 + 11*c - 24)*(6*c**2 + 3*c**3 - 6*c**2) in the form q*c**4 + m*c + u*c**2 + r + l*c**3 and give q.
37
Express 17*h**2 - 3*h - 2*h**3 + 4*h - 18*h**2 - 2*h + 0*h**3 as c + i*h**2 + o*h**3 + t*h and give i.
-1
Rearrange (-2 + 6 - 3)*(4 - 6 + 10)*((0 + 0 + 2*u)*(-5*u + 2*u + u) - 1 + 1 - 1 - 2*u**2) to the form n + y*u**2 + c*u and give y.
-48
Express 3*s**2 - 2*s**2 - 56*s - 8*s + 39*s**3 - 3 - 38*s - 38*s**3 in the form x*s + q*s**3 + i + t*s**2 and give x.
-102
Rearrange -247*k**3 - 5*k**2 + 14 + 2*k**2 + 5*k**2 + 247*k**3 + 6*k**4 to the form o*k + s + d*k**2 + w*k**3 + x*k**4 and give x.
6
Rearrange (0*x**3 + 0*x**3 - x**3)*((-2 - 3*x + 0*x + 1)*(4 - 5 + 8) + 7 + 5*x - 7) to the form t*x**3 + j*x + o*x**4 + d + s*x**2 and give t.
7
Express 5*y - 3*y**2 + y**3 + y**2 + 597 - 3*y - 2*y**3 - 596 in the form d*y + l*y**3 + x + q*y**2 and give l.
-1
Rearrange (-320 - 141 + 56)*(-5 + 5 + b) to u + m*b and give m.
-405
Express 4*s**4 - s**2 + s**2 + (-7*s**2 - s**2 - s**2)*(-5*s**2 - 6*s**2 + 3*s**2) in the form f + c*s**2 + l*s**3 + z*s + v*s**4 and give v.
76
Rearrange (-17 + 72*h - 86*h + 2)*(5 - 2*h - 5) to the form v*h + k + s*h**2 and give s.
28
Rearrange (6 + 4*i**2 - 6)*(-2*i + 4*i - 3*i) - 45 - 16*i**3 + 45 to the form t*i**2 + f*i**3 + z + o*i and give t.
0
Express (-17*i - 1 + 140*i + 133*i)*(-i**2 + i**3 - i**2 + i**3) as c*i + o*i**4 + h + k*i**3 + r*i**2 and give o.
512
Express 0*k**2 + 1 + 8*k**3 - 12*k**3 + k**2 - 2*k + 1 in the form w + z*k + f*k**3 + c*k**2 and give c.
1
Rearrange 428*n + 0 + 100*n + 0 to r + l*n and give l.
528
Express -282*g + 244*g + 150*g - 2 as a*g + h and give a.
112
Rearrange 7 - 9 - 3*x**3 + 4 + 5*x + 2*x**2 to the form j*x**3 + g*x**2 + s*x + h and give g.
2
Rearrange (5*r**2 - 3*r**2 - r**2)*(r**2 + 9634 + r**2 - 9349) to the form l + j*r**4 + g*r + v*r**2 + w*r**3 and give j.
2
Express 85*b - 8 + 8 in the form v*b + a and give v.
85
Rearrange 11 - 19 + 9 + i + 4*i**2 to the form a*i**2 + g + n*i and give a.
4
Express (-d - d + d)*(-1 + 1 - d**3) + 5*d**2 - 5*d**2 + 3*d**4 + (0*d**3 + 0*d**3 - 2*d**3)*(2*d + d - 2*d) as t + u*d**3 + i*d + r*d**2 + z*d**4 and give z.
2
Rearrange -61*v - 148*v + 358*v + 369*v to the form k + z*v and give z.
518
Rearrange 3*v**2 - 476*v - v**2 + 473*v - 28 - 16 to p + j*v**2 + w*v and give p.
-44
Express 2*k + 102 - 233 + 7 in the form y + j*k and give y.
-124
Rearrange -804 + 804 - 47*z + 0*z + 2*z + 0*z + (0*z - 3*z + 0*z)*(-2 + 2 - 2) to y*z + h and give y.
-39
Rearrange -215*f**2 + 4 + 310*f**2 - 5 to y*f**2 + k + n*f and give k.
-1
Express -3*r**4 - 895 + 4*r**2 + 2*r - 884 + 1781 in the form b*r**2 + z*r + x*r**4 + p + k*r**3 and give z.
2
Rearrange (-62*r - 38*r - 377*r)*(-2 + 0 + 0)*(1 + 5 - 4) to x*r + z and give z.
0
Rearrange (-1 - 1 + 0)*(4*q + 0*q - 2*q)*(12 + 3*q**2 - 100*q + 100*q) to u*q + j + y*q**3 + p*q**2 and give u.
-48
Rearrange -3*f**2 - f**2 + 0*f + f + (-2*f + 4*f - 3*f)*(f + 5*f - 4*f) - 4*f**2 + 6*f**2 - 3*f**2 to h*f**2 + r*f + s and give h.
-7
Express 0*a + 2*a + 0*a + 0*a + 2*a - 3*a + (-1 + 0 + 0)*(a - a + 2*a) - 13*a + 0*a + 758 - 760 as b*a + z and give z.
-2
Express -122 + 122 + 351*y as j + m*y and give m.
351
Rearrange -6*f**2 + 16*f**3 + 0*f**3 - 53*f**3 to i*f**3 + r + h*f + s*f**2 and give i.
-37
Express (3*a - 4*a + 0*a)*(11*a**2 - 4*a**2 - 28*a**2)*(-27*a - 7*a + 5*a) as j*a**4 + n*a**2 + q + u*a**3 + g*a and give j.
-609
Express 29*b**2 + 35*b**2 + 34*b**2 - 8 - 89*b**2 in the form q*b**2 + p + j*b and give p.
-8
Rearrange 2 - 2*h + 22*h**3 + 14*h + 4*h**2 - 12*h to v*h**3 + z*h**2 + r*h + m and give r.
0
Rearrange -73 + 32*l**2 - 74 + 214 - 68 + 6*l to the form d*l**2 + g*l + j and give d.
32
Rearrange -111*p**2 + 2*p**3 + 111*p**2 + p - 255 to the form f*p**3 + q*p**2 + b*p + j and give f.
2
Rearrange (0*o**3 + 2*o**3 - 4*o**3)*(0 - 3 + 2 + (0 - 3 + 4)*(0 - 1 + 0) + 1 - 4 + 9 - 5 + 3 - 3) to n*o**2 + z + p*o + q*o**3 and give q.
2
Rearrange (4 - 6 - 4)*(-4 + 1 + 5)*(215*n + 223*n**2 - 215*n) to z*n + b + k*n**2 and give k.
-2676
Rearrange 1375*a + 13*a**3 + a**2 - 2 - 36*a**3 - 1375*a - 63*a**3 to f + b*a**3 + s*a + k*a**2 and give k.
1
Rearrange (-i - 2*i + 5*i)*(1 + 3*i - 1)*(8022 + 186*i**2 - 8022) to c + l*i**4 + d*i**3 + x*i + y*i**2 and give l.
1116
Rearrange u**3 + 3023 + u**2 - u**3 - u**3 - u**4 - 3020 + 2*u to c + v*u**2 + g*u**4 + z*u + j*u**3 and give v.
1
Express (-2 - 3*z + 5*z - 3*z)*(0 + z + 0)*(-4*z**2 + 2*z**2 + z**2) + 0*z**4 - 2*z**4 - 3*z**4 in the form h + r*z**3 + g*z + c*z**4 + f*z**2 and give c.
-4
Express 17*s**3 + 9*s**2 + 21*s**3 - 65*s**3 + 21*s**3 in the form q*s**2 + y*s**3 + a + u*s and give a.
0
Rearrange (-16*t - 12*t - 16*t**2 + 27*t)*(0 + 2 - 4)*(2 - 1 - 3) to the form c*t**2 + n*t + b and give n.
-4
Rearrange -91*y**4 - 2 + 2*y + 157*y**4 - 70*y**4 + 18*y**3 to the form q*y**2 + a + h*y**4 + u*y**3 + m*y and give u.
18
Express u**2 + 4*u + 0*u + 5*u - 3*u**3 - 7*u as j*u**3 + n*u + c*u**2 + g and give j.
-3
Express -223 + 82 - 2*m + 97 in the form c + a*m and give a.
-2
Express -2*s**4 - 101*s - s**4 + s**3 + 3*s**4 - 7 + 2*s**4 + 98*s in the form c*s**3 + x + r*s + p*s**2 + h*s**4 and give p.
0
Express (w - w + 2*w)*(-w - w + 6*w) + (2 - 2 + w)*(3 + 4 - 15)*(0 - w + 0) as q + l*w + c*w**2 and give c.
16
Rearrange (4*j + 0 + 0)*((-2*j + 1 - 1)*(101 - 39 - 29) + 5*j + 0*j - 3*j)*(-4*j + j + j) to the form a*j**3 + r*j**2 + z*j + o and give a.
512
Express (d - 2 + 2)*(-5*d + 2*d + d) + 16*d**2 - 30*d**2 - 42*d**2 in the form r*d**2 + a + h*d and give a.
0
Rearrange 1 + 434*d**2 - 434*d**2 - 3 + 17*d**3 to f*d + h*d**2 + l*d**3 + r and give r.
-2
Rearrange (b**3 + 26*b**3 + 8*b**3)*(-3 + 1 + 1) + (-4*b**3 + 5*b**3 - 3*b**3)*(3 - 4 + 2) + 2*b**3 - b**3 - 4*b**3 to d*b**2 + n*b + m + t*b**3 and give d.
0
Rearrange -27*r**2 + 15*r - 8*r**3 + 18*r - 24*r**2 - 33*r to the form d*r + z*r**2 + m*r**3 + w and give z.
-51
Rearrange (1 + 2*z - 1 + (-14 - 56 - 271)*(4*z - 3*z + z))*(-2 + 3 + 1)*(9*z - 3*z - z) to s + l*z + i*z**2 and give i.
-6800
Express -96*n**4 + 0*n**4 + n + 4 - 7 in the form h*n**4 + y*n**2 + c*n + j*n**3 + r and give c.
1
Express -22*z**4 + 10*z**4 - 21*z**4 + (12*z - 12*z**2 - 12*z)*(3*z**2 - 3*z**2 - 4*z**2) as q*z**3 + m*z**2 + d*z + l*z**4 + g and give l.
15
Rearrange 19*o - 10*o - 11*o - 57*o**2 - 60*o**2 + 36*o**2 to z*o + v*o**2 + r and give r.
0
Express -139*s - 134*s + 250*s in the form y + t*s and give y.
0
Express 2*d + 15*d**2 + 55*d**2 - 13*d**2 - 2*d - 3 as q*d + g + h*d**2 and give h.
57
Rearrange -2*z + 0*z - 3*z + (0 - 3 - 1)*(0*z - z + 3*z) - z - 3*z - z to the form f*z + t and give f.
-18
Express (-37 - 18 + 11)*(58 + 23*w - 58) in the form p + g*w and give g.
-1012
Express -21*b - 66*b + 1 - 480*b - 27*b in the form j + t*b and give t.
-594
Rearrange (2*t**2 - 5*t**2 + 5*t**2)*(-3*t**2 + 0*t**2 + 5*t**2) - 50 + 6 + 3*t**4 - t**4 to a*t**4 + q*t**3 + w*t**2 + h + p*t and give h.
-44
Rearrange (11*o**2 + 2*o - 22 + 0*o + 20)*(-2*o - 5*o + 10*o) to the form f*o**3 + p*o + s + b*o**2 and give b.
6
Express (1 + 0 - 2)*(2*p - 3 + 3)*(481 + 12*p - 481)*(p - 12*p + 2*p) in the form b + u*p**3 + c*p + y*p**2 and give u.
216
Rearrange 63*f**2 - 2*f - 190*f**2 + 47 - 45 to y + b*f**2 + w*f and give b.
-127
Express (0*h**2 + h**2 - 2*h**2)*(3*h - 2*h + 10*h)*(-9 - 4 - 15) as m*h + f*h**2 + a*h**3 + z and give a.
308
Express (0*n - n + 2*n)*(-276*n**3 - 1530*n**3 + 516*n**3) in the form l*n**3 + s*n + m*n**2 + v*n**4 + a and give l.
0
Express (-4*f - 12*f + 6*f)*((5 + 0 - 3)*(-f + 3*f + 0*f) + 7*f - 4*f - 12*f) in the form b*f**2 + m*f + n and give b.
50
Rearrange -s**2 + 1 - 1 - 141*s - 147*s to the form j + l*s + h*s**2 and give l.
-288
Express (3*r - 3*r + 8*r**2)*(-2*r + r + 3*r) + 4*r**2 - 4*r**2 - r**3 + 1 in the form q + k*r**2 + y*r + n*r**3 and give n.
15
Rearrange -161 - 302*h**2 + 214 - 55 to the form n + z*h**2 + q*h and give n.
-2
|
{
"pile_set_name": "DM Mathematics"
}
|
s(t) = t**3 + 2*t**2 + t + 1. Suppose 104 = 4*w + 20. Let q = -23 + w. Calculate s(q).
-1
Let h(n) be the second derivative of n**3/6 + 2*n**2 + 6*n. What is h(3)?
7
Let h(b) be the third derivative of -b**4/12 - b**3 + 21*b**2. Determine h(-7).
8
Let r(t) = -t - 5. Let i be r(-7). Let f(s) = 2 - s**i - 3*s - 2 + 4 - 3. Calculate f(-4).
-3
Let g be (1 + -2)*(-1 + 2). Let j(s) = 8*s**2 + s. What is j(g)?
7
Suppose m - 3*m = -2*k - 12, m - 1 = -4*k. Let v(h) = h**2 - 4*h - 5. Let n be v(m). Let s(u) = -u**2 + u - 6. What is s(n)?
-6
Let n(b) = -b**3 + 8*b**2 + 9*b - 6. Let x be -3 + (10 - 3) + 5. What is n(x)?
-6
Suppose 25 = -5*o, -1 = -5*c - 5*o - 6. Let k(n) = -n + 39 - 18 - 20. Give k(c).
-3
Suppose -5*f + 6 + 14 = 0. Let o(x) = -x - 1. Let l be o(-3). Let y(h) = 3*h - 4*h**2 - h - 1 + h**3 + l. Calculate y(f).
9
Let z(k) = -k**3 + 7*k**2 - 5*k - 7. Suppose n + 2*n - 6 = 0. Let q = n + 4. Let r be z(q). Let j(v) = 9*v**3 - v - 1. Determine j(r).
-9
Let x be 1*(-2 + 5)*1/(-3). Let q(t) = 5*t**3 + t**2 + t. Calculate q(x).
-5
Let p(m) be the second derivative of -m**3/3 + 7*m**2/2 + m. Let h(q) = -q**3 - 3*q**2 + 2*q - 3. Let a be h(-4). Suppose 2*f - 5 = a. Give p(f).
-3
Let o = 0 + 3. Let s(t) = -t + 2. Give s(o).
-1
Let g(k) = 4*k - 1. Let m(s) = 6*s + 2. Let v(b) = -13*b - 3. Let a(d) = -5*m(d) - 3*v(d). Let p(c) = 2*a(c) - 5*g(c). Determine p(5).
-7
Let w(u) = u**3 - 3 - u**3 - 3*u + u**3 - 3*u**2. Suppose 8 = s + 4. Determine w(s).
1
Let v be -1 + 0 + (0 - -2). Let f(u) be the first derivative of -5*u**2 - u - 52. What is f(v)?
-11
Let n(h) = h + 8. Let o(y) = 4*y + 7 - 6*y + 3*y. Let z(v) = 4*n(v) - 5*o(v). What is z(-3)?
0
Let h(i) = i - 5. Suppose -55 - 17 = -4*o - f, 3*f = -3*o + 54. Suppose -2*z + o = 8. Calculate h(z).
0
Let p be 20/3*(-42)/(-35). Let s be (105/(-28))/((-3)/p). Suppose 2*b + s = 4*w - 10, -5*w + 11 = b. Let q(z) = -z + 1. Calculate q(w).
-2
Suppose -4*d + 3*d + 14 = 0. Let x = -19 + d. Let y(r) = -r - 6. Calculate y(x).
-1
Let p(c) = -c**2 - 10*c - 7. Suppose 0 = 24*l - 23*l + 7. Calculate p(l).
14
Let r be 6/(-12)*16/(-2). Let s(w) = -5*w**3 - r + 0 + 2 - w**2 - w + 3. Let m be (-1)/(-3) + 2/3. Give s(m).
-6
Let n(c) = -c**3 + 8*c**2 - 11*c + 24. Let h be n(7). Let j(x) = x**3 + 3*x**2 - 5*x - 1. What is j(h)?
3
Let k(h) = h**3 - h**2. Let t(i) = -4*i**3 - i**2 + 4. Let n(m) = -3*k(m) - t(m). Suppose 5*a - 3*b + 6 = 0, b - 6 = 2*a + a. Determine n(a).
5
Suppose -3 - 1 = -q. Let h(a) = a**3 - 5*a**2 + 7*a - 6. Give h(q).
6
Let t(q) = 2*q**3 - 2*q**2 + 3*q - 5. Let d(p) = 5*p**3 - 3*p**2 + 5*p - 11. Let f(o) = -3*d(o) + 7*t(o). Determine f(-6).
-2
Let o(m) = m**3 + m**2 - m + 5. Let j be (-5)/((-10)/8) - 2. Suppose 3*k - 10 = j*k + 2*v, 25 = 2*k - 5*v. What is o(k)?
5
Let x = -1 + 4. Let z(j) be the second derivative of -j**4/12 + j**3/6 - j**2 - 30*j. Determine z(x).
-8
Let i = -180 - -177. Let a(u) = -3*u + 1. Determine a(i).
10
Suppose 0*f = 2*f + 10, 0 = -4*j + 4*f + 124. Suppose -4 = l + j. Let n be ((-36)/l)/((-4)/(-10)). Let o(v) = -v**2 + 2*v + 2. Give o(n).
-1
Let l(x) = -3*x**2 + 2. Let m be (-2)/(-8) - 15/(-4). Let p be 118/12 - m/(-24). Suppose -6*i - p = -i. Calculate l(i).
-10
Let n(h) = -h**2 - 8*h - 4. Let j(x) = -3*x**2 + 4. Let g be j(2). Calculate n(g).
-4
Let v(u) = -u**3 + 3*u**2 + 3*u - 1. Let w(h) = -h. Let p = 0 + -2. Let d be w(p). Calculate v(d).
9
Suppose -4*u + 8 = -u + 4*a, 2*u + 4 = 2*a. Let v(p) be the third derivative of p**5/60 + p**4/24 - 7*p**3/6 + p**2. Determine v(u).
-7
Suppose -3 = -2*j - 5. Let u(o) = 4*o + 1. Let t(y) = -y - 1. Let r = -5 - 0. Let d(z) = j*u(z) + r*t(z). Calculate d(-4).
0
Let j(u) = -2*u**2 + 3*u + 1. Let x(c) be the third derivative of -c**6/120 + 7*c**5/60 + c**2. Let l be x(7). Suppose 15 = 5*y - l. Give j(y).
-8
Let f(l) = 5*l + 2 + 0*l - 4*l. Calculate f(-5).
-3
Let b = -7 + 4. Let s = b + 3. Suppose 0*h - 3*h = s. Let g(z) = z + 6. Give g(h).
6
Let m(j) = -3*j + 3. Let p(v) = 4*v - 4. Let c(z) = 3*m(z) + 2*p(z). Calculate c(3).
-2
Let v(l) = l**3 + 2*l**2 - l + 1. Let g = -70 - -67. Determine v(g).
-5
Let y(p) = 4 - 2 + 2*p**3 + 5*p**2 - 8*p**2 - p**2. Determine y(3).
20
Let h(r) be the first derivative of -r**3/6 - 2*r**2 - 3*r + 1. Let i(m) be the first derivative of h(m). Calculate i(3).
-7
Let o(v) be the third derivative of -v**6/120 + v**5/15 - v**4/6 + 2*v**3/3 + 33*v**2. Give o(3).
1
Let g(l) = l**2 - 9*l + 9. Let a be g(8). Let w(i) = 3*i**3 - i**2 + 1. What is w(a)?
3
Let l(d) = 2*d**2 + 21*d - 1. Let p(s) = s**2 + 10*s. Let b(t) = 2*l(t) - 5*p(t). Give b(-7).
5
Let a(l) = 3*l - 5. Let k(v) = -7*v + 11. Let o(b) = -9*a(b) - 4*k(b). What is o(-1)?
0
Let t be 5 + (1 - 0) + -1. Let j(i) = -i**3 + 5*i**2 - i - 6. Calculate j(t).
-11
Let j(r) = 0 + 3*r**2 + 1 - 2*r**2 - 3*r**2 + 4*r. Suppose 3*f = 2*f + 3. Determine j(f).
-5
Let v(f) = 5*f. Let j(y) = 9*y - 1. Let r(s) = -6*j(s) + 11*v(s). Calculate r(-3).
3
Let v(i) = -i**2 + 14*i + 16. Let s be v(15). Let a(k) = 0 - k + 6 - k + s. Give a(5).
-3
Let i be 23/5 - (-6)/15. Let v = -9 + i. Let r be -4 + 2 + v/2. Let y(q) = 3*q + 6. What is y(r)?
-6
Let a(j) be the first derivative of 5*j - 3 - 1/2*j**2 - 1/3*j**3. Give a(-4).
-7
Let p(m) = m**3 - m**2 + m + 1. Let a be p(0). Let x(j) = 3 - a + j + 4*j**2 - 3. Let t be -1 + 7 - 4 - 1. Calculate x(t).
4
Let a(y) = -4*y**2 - 2*y - 20. Let s(c) = c**2 + c + 6. Let n(g) = 3*a(g) + 10*s(g). Determine n(3).
-6
Suppose 5*k + 58 = 188. Let r = k - 19. Let t(g) = -g**2 + 6*g + 6. What is t(r)?
-1
Let a(f) = -f**2 + 6*f - 5. Suppose 20 = j + 3*j. Let o be a(j). Let q(s) = -137 + s - 2*s + 139. What is q(o)?
2
Let l(p) = -p**3 + 4*p**2 + p. Let i be -1 - 10*1/(-2). What is l(i)?
4
Suppose 2*r - 36 = 5*r + 3*j, 42 = -3*r - 5*j. Let g = 5 + r. Let c(x) = 2*x - 2. Determine c(g).
-10
Let c(d) be the first derivative of 0*d**2 + 4 + 1/3*d**3 + d. Determine c(-2).
5
Let w(o) = -o + 10. Let h(x) = -x + 1. Let n(k) = -3*h(k) + w(k). What is n(-7)?
-7
Let d be (6/4 - 2)*8. Let l(q) = q**2 + 4*q + 5. Calculate l(d).
5
Let m be (1 - 1/(-1)) + 0. Let p(f) = -16*f + 5. Let r(z) = 3*z - 1. Let j(y) = m*p(y) + 11*r(y). Give j(-4).
-5
Let o(a) = -2*a + 0*a**2 + 0*a**2 - 1 - a**2. Determine o(-2).
-1
Let g be (1/(-3))/((-1)/9). Let b be ((-14)/21)/(2/g). Let x(m) = 2*m**2 - m. Give x(b).
3
Let o(d) = d**3 - 5*d**2 + d - 6. Suppose 3*j = -2*x + 9, 0 = 3*j + 5*x - 6*x - 18. What is o(j)?
-1
Suppose -4*y = -17 + 21. Let i(w) = -5*w**2 - 8*w - 1. Let h(c) = c. Let t(o) = 6*h(o) + i(o). What is t(y)?
-4
Let v(c) = -c + 3. Let l be v(3). Let m(w) = w**2 + 7. Let d be m(l). Let g = d + -12. Let u(h) = h**3 + 5*h**2 - 3*h - 6. Give u(g).
9
Let w be (-26)/(-5) - 2/10. Let r(u) = -u + u**2 + w*u**2 - 4*u**2 - 4*u**2. What is r(2)?
-10
Let v(b) = b + 1. Let t(n) = 3*n + 5. Let s(d) = t(d) - 4*v(d). Let y(a) = -a**3 - 3*a**2 + a. Let m be y(-3). Calculate s(m).
4
Suppose -r + 6 = 2*b, 3*r - 5*b = -r + 11. Let c(a) = a**2 - 3*a + 4. Give c(r).
8
Let r(d) = d**3 + 19*d**2 + d + 19. Let q be r(-19). Let j(v) = 0 - 3 - v**2 - v - 6. What is j(q)?
-9
Let p be -2*((-27)/(-6))/(-9). Let b(k) = 4*k**3 - k**2 + 1. Determine b(p).
4
Let f(p) = -p**2 + 2*p + 4. Let i(m) = -m + 5. Let j be i(0). Suppose -j*w + 21 = -2*w. Let h be 2*-1 + w + -1. What is f(h)?
-4
Let w(b) = 5*b + 5. Let a(g) = 16*g + 15. Let x(q) = 2*a(q) - 7*w(q). Determine x(-6).
13
Let d be 3/2*(2 + 0). Suppose 2*n = -5*l - 0*n + 14, 2*l - 5*n - 23 = 0. Let c(g) = g + l*g - 4*g + 1. Give c(d).
4
Let u(r) be the third derivative of r**5/15 - r**4/8 + r**3/3 + 11*r**2. Calculate u(2).
12
Let y(b) = -b - 4. Suppose -2 = -j - 4. Let z be 1/j*10/1. What is y(z)?
1
Let k(g) = -4*g - 4. Let v be k(-5). Let o = v - 11. Let f(z) = 4*z**2 - z + 4. Let j(q) = q**2 - q. Let u(r) = f(r) - 5*j(r). What is u(o)?
-1
Let c(j) = j**3 - 3*j**2 + 2*j. Let w = 7 + -3. Suppose v - 4*q = -4*v - 38, w*v + 55 = -5*q. Let g be 4/1 - v/(-5). Calculate c(g).
0
Let d(p) = -9*p + 6*p + 4*p + 0*p. Determine d(-2).
-2
Let k be -2 - (8 - 2)/((-2)/1). Let a(t) = 3*t - 1. Determine a(k).
2
Let z(f) be the second derivative of -f**5/20 + f**4/12 - f**3/6 - f**2/2 - 4*f. Give z(2).
-7
Let i(d) be the second derivative of -d**5/20 - d**4/6 - d**3/2 - d**2/2 + 9*d.
|
{
"pile_set_name": "DM Mathematics"
}
|
4.
87
What is the remainder when 274 is divided by 22?
10
Calculate the remainder when 5997 is divided by 1498.
5
Calculate the remainder when 178 is divided by 41.
14
What is the remainder when 148 is divided by 17?
12
Calculate the remainder when 83 is divided by 28.
27
Calculate the remainder when 528 is divided by 237.
54
What is the remainder when 112 is divided by 37?
1
What is the remainder when 51 is divided by 20?
11
What is the remainder when 99 is divided by 10?
9
What is the remainder when 281 is divided by 39?
8
What is the remainder when 4999 is divided by 18?
13
What is the remainder when 230 is divided by 26?
22
What is the remainder when 1303 is divided by 15?
13
What is the remainder when 1002 is divided by 48?
42
What is the remainder when 380 is divided by 48?
44
Calculate the remainder when 1731 is divided by 3.
0
Calculate the remainder when 230 is divided by 44.
10
Calculate the remainder when 161 is divided by 57.
47
Calculate the remainder when 137 is divided by 58.
21
What is the remainder when 540 is divided by 69?
57
Calculate the remainder when 2727 is divided by 13.
10
What is the remainder when 769 is divided by 245?
34
Calculate the remainder when 424 is divided by 86.
80
Calculate the remainder when 321 is divided by 106.
3
Calculate the remainder when 77 is divided by 74.
3
Calculate the remainder when 112 is divided by 29.
25
What is the remainder when 54 is divided by 24?
6
Calculate the remainder when 166 is divided by 47.
25
What is the remainder when 1731 is divided by 83?
71
What is the remainder when 529 is divided by 141?
106
What is the remainder when 769 is divided by 179?
53
Calculate the remainder when 124 is divided by 49.
26
What is the remainder when 600 is divided by 18?
6
Calculate the remainder when 191 is divided by 67.
57
What is the remainder when 218 is divided by 60?
38
What is the remainder when 2221 is divided by 19?
17
Calculate the remainder when 1003 is divided by 99.
13
Calculate the remainder when 1033 is divided by 28.
25
Calculate the remainder when 539 is divided by 60.
59
Calculate the remainder when 474 is divided by 77.
12
Calculate the remainder when 6839 is divided by 45.
44
What is the remainder when 159 is divided by 30?
9
What is the remainder when 117 is divided by 53?
11
What is the remainder when 901 is divided by 202?
93
What is the remainder when 5064 is divided by 17?
15
What is the remainder when 412 is divided by 73?
47
Calculate the remainder when 91 is divided by 73.
18
What is the remainder when 1256 is divided by 178?
10
Calculate the remainder when 861 is divided by 427.
7
What is the remainder when 1075 is divided by 42?
25
Calculate the remainder when 53 is divided by 47.
6
Calculate the remainder when 1629 is divided by 38.
33
Calculate the remainder when 540 is divided by 39.
33
What is the remainder when 1323 is divided by 1259?
64
Calculate the remainder when 505 is divided by 160.
25
Calculate the remainder when 2125 is divided by 76.
73
Calculate the remainder when 7107 is divided by 13.
9
What is the remainder when 166 is divided by 80?
6
What is the remainder when 213 is divided by 27?
24
Calculate the remainder when 240 is divided by 9.
6
Calculate the remainder when 161 is divided by 11.
7
Calculate the remainder when 469 is divided by 122.
103
Calculate the remainder when 125 is divided by 33.
26
Calculate the remainder when 287 is divided by 96.
95
What is the remainder when 973 is divided by 277?
142
Calculate the remainder when 1046 is divided by 25.
21
What is the remainder when 224 is divided by 57?
53
What is the remainder when 89 is divided by 73?
16
What is the remainder when 293 is divided by 117?
59
Calculate the remainder when 10 is divided by 8.
2
Calculate the remainder when 285 is divided by 17.
13
What is the remainder when 16 is divided by 12?
4
Calculate the remainder when 492 is divided by 45.
42
Calculate the remainder when 352 is divided by 17.
12
Calculate the remainder when 1744 is divided by 97.
95
Calculate the remainder when 52139 is divided by 30.
29
What is the remainder when 174 is divided by 26?
18
Calculate the remainder when 301 is divided by 16.
13
Calculate the remainder when 283 is divided by 11.
8
Calculate the remainder when 4548 is divided by 10.
8
Calculate the remainder when 463 is divided by 197.
69
Calculate the remainder when 1781 is divided by 33.
32
Calculate the remainder when 324 is divided by 55.
49
Calculate the remainder when 24774 is divided by 38.
36
What is the remainder when 1033 is divided by 105?
88
Calculate the remainder when 49 is divided by 5.
4
What is the remainder when 41 is divided by 15?
11
Calculate the remainder when 3011 is divided by 112.
99
Calculate the remainder when 26 is divided by 5.
1
Calculate the remainder when 240 is divided by 49.
44
Calculate the remainder when 180 is divided by 58.
6
What is the remainder when 315 is divided by 47?
33
What is the remainder when 269 is divided by 23?
16
Calculate the remainder when 54 is divided by 28.
26
What is the remainder when 1080 is divided by 351?
27
Calculate the remainder when 138 is divided by 51.
36
Calculate the remainder when 31 is divided by 4.
3
Calculate the remainder when 508 is divided by 17.
15
Calculate the remainder when 45 is divided by 39.
6
Calculate the remainder when 1174 is divided by 21.
19
What is the remainder when 412 is divided by 46?
44
What is the remainder when 1290 is divided by 37?
32
Calculate the remainder when 411 is divided by 69.
66
Calculate the remainder when 4854 is divided by 90.
84
Calculate the remainder when 1995 is divided by 182.
175
What is the remainder when 122 is divided by 14?
10
Calculate the remainder when 292 is divided by 68.
20
Calculate the remainder when 36 is divided by 21.
15
What is the remainder when 175 is divided by 37?
27
Calculate the remainder when 989 is divided by 71.
66
What is the remainder when 349 is divided by 117?
115
What is the remainder when 212 is divided by 18?
14
Calculate the remainder when 43 is divided by 9.
7
Calculate the remainder when 264 is divided by 53.
52
Calculate the remainder when 4540 is divided by 59.
56
What is the remainder when 634 is divided by 543?
91
What is the remainder when 735 is divided by 39?
33
Calculate the remainder when 111 is divided by 31.
18
What is the remainder when 715 is divided by 132?
55
What is the remainder when 309 is divided by 36?
21
Calculate the remainder when 300 is divided by 43.
42
Calculate the remainder when 14687 is divided by 113.
110
What is the remainder when 73 is divided by 4?
1
What is the remainder when 541 is divided by 68?
65
What is the remainder when 780 is divided by 9?
6
What is the remainder when 2345 is divided by 69?
68
What is the remainder when 9392 is divided by 31?
30
Calculate the remainder when 3170 is divided by 96.
2
Calculate the remainder when 680 is divided by 64.
40
Calculate the remainder when 2594 is divided by 11.
9
What is the remainder when 418 is divided by 117?
67
Calculate the remainder when 37 is divided by 32.
5
Calculate the remainder when 4404 is divided by 199.
26
What is the remainder when 272 is divided by 88?
8
What is the remainder when 2496 is divided by 276?
12
What is the remainder when 1059 is divided by 348?
15
Calculate the remainder when 227 is divided by 41.
22
What is the remainder when 43 is divided by 5?
3
What is the remainder when 8187 is divided by 65?
62
Calculate the remainder when 6599 is divided by 30.
29
What is the remainder when 193 is divided by 58?
19
Calculate the remainder when 713 is divided by 143.
141
What is the remainder when 103 is divided by 38?
27
Calculate the remainder when 138 is divided by 30.
18
Calculate the remainder when 418 is divided by 23.
4
Calculate the remainder when 197 is divided by 6.
5
What is the remainder when 214 is divided by 37?
29
Calculate the remainder when 363 is divided by 26.
25
What is the remainder when 13190 is divided by 4393?
11
What is the remainder when 98 is divided by 37?
24
Calculate the remainder when 215 is divided by 25.
15
What is the remainder when 2239 is divided by 17?
12
Calculate the remainder when 455 is divided by 116.
107
Calculate the remainder when 57 is divide
|
{
"pile_set_name": "DM Mathematics"
}
|
of -76759, -77384, -78001, -78610, -79211, -79804, -80389?
4*p**2 - 637*p - 76126
What is the v'th term of 257681, 1030426, 2318333, 4121402, 6439633, 9273026?
257581*v**2 + 2*v + 98
What is the d'th term of -3128, -7767, -12406, -17045, -21684?
-4639*d + 1511
What is the p'th term of 78768, 79078, 79388, 79698?
310*p + 78458
What is the t'th term of -5677488, -11354973, -17032458, -22709943, -28387428?
-5677485*t - 3
What is the n'th term of 21036, 84687, 190772, 339291, 530244, 763631?
21217*n**2 - 181
What is the v'th term of -15300544, -61202178, -137704902, -244808716, -382513620, -550819614?
-15300545*v**2 + v
What is the x'th term of -7641060, -15282119, -22923178, -30564237?
-7641059*x - 1
What is the v'th term of -29128811, -58257624, -87386437, -116515250, -145644063?
-29128813*v + 2
What is the g'th term of 500, 3536, 11646, 27362, 53216, 91740, 145466, 216926?
422*g**3 + 5*g**2 + 67*g + 6
What is the r'th term of -37214, -76569, -115930, -155297, -194670, -234049?
-3*r**2 - 39346*r + 2135
What is the t'th term of -384515, -384505, -384495, -384485, -384475?
10*t - 384525
What is the v'th term of 194716312, 194716315, 194716318?
3*v + 194716309
What is the x'th term of 7084, 7075, 7124, 7231?
29*x**2 - 96*x + 7151
What is the l'th term of -12561576, -25123149, -37684724, -50246301, -62807880, -75369461, -87931044?
-l**2 - 12561570*l - 5
What is the h'th term of -53512, -107114, -160814, -214612?
-49*h**2 - 53455*h - 8
What is the l'th term of -11419203, -22838406, -34257609, -45676812?
-11419203*l
What is the v'th term of 1373, 5489, 12409, 22181, 34853?
8*v**3 + 1354*v**2 - 2*v + 13
What is the z'th term of -42413443, -42413447, -42413453, -42413461, -42413471, -42413483, -42413497?
-z**2 - z - 42413441
What is the c'th term of 13888, 14036, 14190, 14350, 14516, 14688?
3*c**2 + 139*c + 13746
What is the b'th term of 1573, 2738, 3903?
1165*b + 408
What is the w'th term of -20080, -80217, -180442, -320755?
-20044*w**2 - 5*w - 31
What is the g'th term of 3436, 2843, 2178, 1435, 608?
-g**3 - 30*g**2 - 496*g + 3963
What is the f'th term of -110781, -221579, -332377, -443175, -553973, -664771?
-110798*f + 17
What is the j'th term of 17448, 19795, 22142?
2347*j + 15101
What is the d'th term of 48289, 48296, 48281, 48232, 48137, 47984, 47761?
-2*d**3 + d**2 + 18*d + 48272
What is the o'th term of -8401348, -8401362, -8401376, -8401390?
-14*o - 8401334
What is the j'th term of -67975149, -67975150, -67975151, -67975152?
-j - 67975148
What is the a'th term of 77286, 76733, 76180, 75627?
-553*a + 77839
What is the o'th term of -12913, -12914, -12927, -12964, -13037, -13158, -13339, -13592?
-2*o**3 + 6*o**2 - 5*o - 12912
What is the g'th term of -1560, -4157, -6754, -9351, -11948, -14545?
-2597*g + 1037
What is the g'th term of -311, -1704, -4305, -8342, -14043, -21636, -31349?
-38*g**3 - 376*g**2 + g + 102
What is the s'th term of -474095, -948320, -1422545, -1896770?
-474225*s + 130
What is the u'th term of -80, -961, -3390, -8123, -15916?
-126*u**3 - 18*u**2 + 55*u + 9
What is the b'th term of -178513, -356790, -534833, -712642, -890217?
117*b**2 - 178628*b - 2
What is the u'th term of 6593, 26386, 59395, 105626, 165085, 237778, 323711?
u**3 + 6602*u**2 - 20*u + 10
What is the w'th term of -12039, -24132, -36273, -48462, -60699, -72984?
-24*w**2 - 12021*w + 6
What is the i'th term of 640632, 640765, 640898, 641031?
133*i + 640499
What is the t'th term of -767247, -1534435, -2301623, -3068811?
-767188*t - 59
What is the a'th term of -897302, -1794556, -2691768, -3588944, -4486090, -5383212, -6280316?
-a**3 + 27*a**2 - 897328*a
What is the k'th term of 6740687, 13481375, 20222063, 26962751?
6740688*k - 1
What is the d'th term of -1568386, -1568740, -1569094, -1569448, -1569802, -1570156?
-354*d - 1568032
What is the z'th term of 1254483, 1254458, 1254423, 1254384, 1254347, 1254318, 1254303, 1254308?
z**3 - 11*z**2 + z + 1254492
What is the w'th term of 1497, 5914, 13261, 23544, 36769, 52942, 72069, 94156?
w**3 + 1459*w**2 + 33*w + 4
What is the i'th term of 1239, 1326, 1489, 1740, 2091?
2*i**3 + 26*i**2 - 5*i + 1216
What is the z'th term of -12935, -25869, -38781, -51665, -64515, -77325, -90089?
z**3 + 5*z**2 - 12956*z + 15
What is the c'th term of 1723745, 3447888, 5172031, 6896174?
1724143*c - 398
What is the t'th term of -56505, -225937, -508301, -903591, -1411801, -2032925?
t**3 - 56472*t**2 - 23*t - 11
What is the n'th term of -4884, -4514, -3942, -3162, -2168, -954, 486?
n**3 + 95*n**2 + 78*n - 5058
What is the i'th term of -20696, -21112, -21810, -22790, -24052, -25596?
-141*i**2 + 7*i - 20562
What is the v'th term of -11514029, -11514014, -11513999, -11513984?
15*v - 11514044
What is the h'th term of -1415, -1774, -2387, -3266, -4423, -5870, -7619?
-2*h**3 - 115*h**2 - 1298
What is the x'th term of 19496, 48372, 86628, 134264, 191280, 257676?
4690*x**2 + 14806*x
What is the g'th term of -20399, -21802, -23217, -24650, -26107, -27594, -29117, -30682?
-g**3 - 1396*g - 19002
What is the o'th term of 21777, 43411, 65043, 86673, 108301, 129927, 151551?
-o**2 + 21637*o + 141
What is the c'th term of 2793, 6036, 9691, 13758, 18237, 23128, 28431?
206*c**2 + 2625*c - 38
What is the y'th term of -7399942, -7399940, -7399938, -7399936, -7399934?
2*y - 7399944
What is the r'th term of 489133, 1956577, 4402321, 7826371, 12228733?
r**3 + 489144*r**2 + 5*r - 17
What is the g'th term of 13932, 34883, 55834, 76785, 97736?
20951*g - 7019
What is the p'th term of 714578, 1429957, 2145336, 2860715, 3576094?
715379*p - 801
What is the j'th term of -750088, -1500248, -2250408, -3000568, -3750728?
-750160*j + 72
What is the g'th term of -5110, -4725, -4342, -3961?
-g**2 + 388*g - 5497
What is the r'th term of 71281, 74126, 76971, 79816, 82661?
2845*r + 68436
What is the i'th term of -4721, -19084, -43095, -76754, -120061, -173016, -235619?
-4824*i**2 + 109*i - 6
What is the o'th term of -87, -89, -27, 129, 409, 843, 1461, 2293?
5*o**3 + 2*o**2 - 43*o - 51
What is the n'th term of -53447, -49484, -45519, -41552?
n**2 + 3960*n - 57408
What is the d'th term of -2018256, -2018265, -2018274, -2018283?
-9*d - 2018247
What is the v'th term of -145851, -145827, -145803, -145779, -145755?
24*v - 145875
What is the i'th term of 431, 1261, 2501, 4151, 6211, 8681, 11561?
205*i**2 + 215*i + 11
What is the r'th term of -2566, -5274, -7982, -10690, -13398?
-2708*r + 142
What is the o'th term of 1363491, 1363506, 1363521?
15*o + 1363476
What is the c'th term of 3031, 5087, 6185, 6325?
-479*c**2 + 3493*c + 17
What is the t'th term of 16182, 63543, 140322, 244755, 375078, 529527, 706338, 903747?
-294*t**3 + 16473*t**2 + 3
What is the v'th term of -19855, -79374, -178389, -316750, -494307?
25*v**3 - 19898*v**2 + 18
What is the t'th term of -78582, -314583, -708000, -1258833, -1967082, -2832747, -3855828?
-78708*t**2 + 123*t + 3
What is the o'th term of -156692, -313383, -470074, -626765?
-156691*o - 1
What is the c'th term of 2153520, 2153510, 2153494, 2153472, 2153444?
-3*c**2 - c + 2153524
What is the l'th term of 483, 2008, 4495, 7938, 12331, 17668?
-l**3 + 487*l**2 + 71*l - 74
What is the u'th term of 726145, 1450983, 2175821, 2900659, 3625497?
724838*u + 1307
What is the q'th term of -2021, -11110, -31809, -68660, -126205, -208986, -321545, -468424?
-757*q**3 - 1263*q**2 - q
What is the d'th term of 1039, 3701, 8111, 14269, 22175, 31829, 43231?
874*d**2 + 40*d + 125
What is the x'th term of -12320, -24447, -36550, -48623, -60660?
x**3 + 6*x**2 - 12152*x - 175
What is the z'th term of -36494, -74845, -113198, -151553, -189910, -228269, -266630?
-z**2 - 38348*z + 1855
What is the j'th term of 24, 549, 1374, 2463, 3780?
-6*j**3 + 186*j**2 + 9*j - 165
What is the j'th term of -481764, -963190, -1444604, -1926000, -2407372?
j**3 - 481433*j - 332
What is the h'th term of -424653, -849325, -1273997, -1698669, -2123341?
-424672*h + 19
What is the d'th term of 50523055, 50523047, 50523039, 50523031, 50523023?
-8*d + 50523063
What is the u'th term of -645, -1426, -2331, -3348, -4465, -5670?
2*u**3 - 74*u**2 - 573*u
What is the c'th term of 429438, 429508, 429576, 429642?
-c**2 + 73*c + 429366
What is the f'th term of 493, 823, 823, 325, -839, -2837, -5837, -10007?
-28*f**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
d?
12
Let z(g) be the first derivative of -3*g**5/5 - g - 2. Find the first derivative of z(k) wrt k.
-12*k**3
Find the second derivative of -7*l - 23*l**2 + 20*l + 12*l wrt l.
-46
Let r(y) = y**2 - 4*y + 2. Let h(s) = -s. Suppose -4*o = -2*o + 8. Let u(k) = o*h(k) + r(k). What is the derivative of u(m) wrt m?
2*m
Let i(p) = p**2 - 5*p + 2. Let l(r) = -3*r**2 + 16*r - 7. Let q(y) = 7*i(y) + 2*l(y). What is the second derivative of q(m) wrt m?
2
Suppose 0*a + a = 0. Suppose 25 = -a*m + 5*m. What is the second derivative of 2*n + 3*n**2 + m*n - 5*n wrt n?
6
Let g(j) be the second derivative of 2*j**7/7 - 25*j**4/12 - j. What is the third derivative of g(c) wrt c?
720*c**2
Let r(d) be the first derivative of -9*d**4/4 + 11*d + 11. What is the derivative of r(j) wrt j?
-27*j**2
Let p(b) = 16*b**2 - 8*b. Let z(j) = 5*j**2 - 3*j. Let f be -4*((-3)/(-2) + -1). Let i(c) = f*p(c) + 7*z(c). Find the second derivative of i(s) wrt s.
6
Suppose 4*r - 9*r = -10. What is the derivative of -6 + 0*m**3 - 4*m**3 - r*m**3 + 3 wrt m?
-18*m**2
Suppose -4*m + 5*m = 2*l - 3, 21 = 4*m + 3*l. What is the derivative of -33*d**3 + 16*d**3 + 20*d**m - 2 wrt d?
9*d**2
Let r(c) = -c**3 + c**2 + 3*c - 2. Let v be r(2). What is the second derivative of -3*b**5 + v*b + 2*b - 3*b wrt b?
-60*b**3
Let d(u) = 70*u**2 - 49*u + 21. Let t be -1*-2*(-1)/1. Let q(r) = 7*r**2 - 5*r + 2. Let m(j) = t*d(j) + 21*q(j). Find the second derivative of m(s) wrt s.
14
Suppose -6*a - 6 = -9*a. Find the third derivative of -7*n**2 + 2*n**5 + 2*n**2 + a*n**2 wrt n.
120*n**2
Let u(p) = 30*p**4 - 3*p + 23. Let f(z) = 60*z**4 - 7*z + 46. Let w(r) = -3*f(r) + 7*u(r). What is the derivative of w(h) wrt h?
120*h**3
Let w(b) = 8*b**2 - 24*b - 5. Let s(i) = -i - 1. Let f(q) = 5*s(q) - w(q). What is the second derivative of f(x) wrt x?
-16
Let r(b) = 2*b**2 - 2. Let u be r(2). Suppose u = 3*t - 0*t. Find the third derivative of h**2 + 3*h**t + 2*h**3 - 2*h**3 - 3*h**5 wrt h.
-180*h**2
Let f(g) = 0*g - 3*g + 1 + 1. Let u(a) = -8*a + 0 + 8*a - 7*a + 4. Let i(j) = 10*f(j) - 4*u(j). Find the first derivative of i(q) wrt q.
-2
Let x(n) = -27*n**3 + 10*n**2 + 6*n. Let w(s) = 81*s**3 - 30*s**2 - 17*s. Let t(i) = 6*w(i) + 17*x(i). Find the third derivative of t(o) wrt o.
162
Let r(b) be the first derivative of -b**6/3 - 12*b**2 - 21. Find the second derivative of r(o) wrt o.
-40*o**3
Suppose -4*d = -0*d - 12. Find the second derivative of 0*x**d + 0*x - 2*x**3 - 2*x - 3*x**3 wrt x.
-30*x
Let z = 14 - 10. What is the second derivative of 0*y**5 - y + z*y**5 - 3*y wrt y?
80*y**3
Find the first derivative of -67*h**2 + 39*h**2 + 6 + 1 wrt h.
-56*h
Let c(j) be the first derivative of -2*j**5/15 + j**4/24 - 4*j**2 - 5. Let d(h) be the second derivative of c(h). What is the second derivative of d(v) wrt v?
-16
Find the second derivative of 28*u**2 - 28*u**2 - 13*u**4 - 13*u wrt u.
-156*u**2
Let o(j) be the third derivative of 2*j**5/15 - j**3/2 + 2*j**2. What is the first derivative of o(q) wrt q?
16*q
Find the second derivative of -6*o + 11*o**3 - 2*o + o + o wrt o.
66*o
Differentiate 15 - 20*h**4 + 10*h**4 - 13*h**4 wrt h.
-92*h**3
Let d(c) be the first derivative of c**4/2 + 4*c + 3. Differentiate d(w) wrt w.
6*w**2
Let y(a) = a**2 - 3*a + 3. Let q be y(3). What is the second derivative of z**3 + 3*z**3 - 5*z**q + z wrt z?
-6*z
Suppose -5*h + 3*c + 24 = 0, h + 0*c = 5*c + 18. What is the second derivative of 3 + 4*x - 30*x**4 - h + 21*x**4 wrt x?
-108*x**2
Let q(m) = 7*m**5 + m**4 + 5*m**2 + m + 1. Let h(j) = j**4 + j**2 + j + 1. Let l(o) = 6*h(o) - 6*q(o). Find the third derivative of l(v) wrt v.
-2520*v**2
Differentiate -4*k**2 - k**2 - 13*k**2 - 11 with respect to k.
-36*k
Suppose -10 = -4*s - s. Suppose 2*f = 5*f - s*i - 7, f - i = 2. Find the first derivative of -1 - 2*l**f + 3 + 1 wrt l.
-6*l**2
Let t(g) be the third derivative of 2*g**7/105 + 2*g**3 - 8*g**2. What is the first derivative of t(j) wrt j?
16*j**3
Let t(z) = -z + 9. Suppose -2*d - 2 + 16 = 0. Let w be t(d). Find the third derivative of -5*a**2 + 2*a**w + a**2 + 2*a**6 wrt a.
240*a**3
Let d = -4 + -5. Let y = -7 - d. What is the third derivative of k**4 + 3*k**2 - y*k**2 + 0*k + 0*k wrt k?
24*k
Let u(k) be the second derivative of -7*k**5/20 - 3*k**2/2 - 16*k. Find the first derivative of u(w) wrt w.
-21*w**2
Let m be (-4)/2*(-6)/4. Suppose -4*g + 4*i = -6*g - 8, -g = m*i + 7. What is the first derivative of 0 - 2*u**4 + g + 4*u**4 wrt u?
8*u**3
Let z(i) be the first derivative of i**9/756 - i**5/40 + 2*i**3 - 6. Let v(l) be the third derivative of z(l). What is the second derivative of v(a) wrt a?
80*a**3
Let l be -2 + (-32)/(-14) + 120/70. Let f(o) = o**3 + 2*o**2 - 3*o + 4. Let g be f(-3). What is the second derivative of -t + l*t**4 + 4*t - 3*t**g wrt t?
-12*t**2
Let o be ((-2)/4)/(1/2). Let b = o + 1. Find the third derivative of x**4 + b*x**2 - 2*x**4 - 3*x**2 wrt x.
-24*x
Let d(i) = -i**4 - i**3 - i + 1. Let k(q) = -23*q**4 - 6*q**3 + 11*q**2 - 6*q + 6. Let u(t) = 6*d(t) - k(t). What is the third derivative of u(o) wrt o?
408*o
Let b(t) = 2 + 5*t - 2*t + 1. Let g = -7 - -3. Let y(u) = 4*u + 4. Let x(j) = g*y(j) + 5*b(j). Differentiate x(n) with respect to n.
-1
Let u(b) = -b - 5. Let j be u(-7). Find the third derivative of 0*t**6 - 17*t + 17*t - 3*t**2 - j*t**6 wrt t.
-240*t**3
Let q(h) be the third derivative of 5*h**8/84 + 4*h**5/15 - 20*h**2. What is the third derivative of q(k) wrt k?
1200*k**2
Suppose 0*r - 4*n + 12 = 4*r, -2*r + n + 12 = 0. What is the second derivative of 0*o**4 + o**4 + 10*o - r*o wrt o?
12*o**2
Suppose w + 2*f - 1 = 0, 0*f - 28 = -4*w - 2*f. Suppose 4*q - w = 3. What is the third derivative of q*x**2 - x**3 - 4*x**2 - x**2 wrt x?
-6
Let u(l) = 12*l**2 + 15*l. Let r(j) = 6*j**2 + 8*j. Let i(c) = 5*r(c) - 3*u(c). Find the second derivative of i(v) wrt v.
-12
Let n(u) = -6*u - 18. Let d(j) = -1. Let b(q) = d(q) - n(q). What is the derivative of b(x) wrt x?
6
Suppose -5*m = -3*h - 3, 3*h - 11 = -m + 4. Differentiate t**2 + 0*t**2 - 3*t**m + 3 - t**2 wrt t.
-9*t**2
Let q(l) be the third derivative of l**5/20 - 11*l**4/24 + 10*l**2. Find the second derivative of q(t) wrt t.
6
What is the third derivative of -49*r**2 + 50*r**2 - 3*r**3 + 7*r**3 wrt r?
24
Let b(i) be the first derivative of 9*i**4/4 - 27*i**2/2 - 31. Find the second derivative of b(h) wrt h.
54*h
Let j(f) = -f - 4. Let m be j(-11). Let b = 0 + m. Differentiate 1 + b*i**2 - 13*i**2 + 10*i**2 wrt i.
8*i
Let y(q) be the third derivative of -q**6/60 - q**5/40 - q**3 - 5*q**2. Let v(l) be the first derivative of y(l). Find the second derivative of v(g) wrt g.
-12
Let b(k) be the first derivative of 2*k**5/5 - 4*k**3/3 + 1. What is the third derivative of b(i) wrt i?
48*i
Differentiate -1 + 6 - 12 - 15 - 23*j**2 wrt j.
-46*j
Suppose h = -h + 4. Find the third derivative of 3*r**6 + 2*r - h*r + 5*r**2 - 8*r**2 wrt r.
360*r**3
Let s(y) = -y**3 + 2*y**2 + 3*y + 2. Let m(z) = 4*z**3 - 7*z**2 - 10*z - 7. Let v(h) = 2*m(h) + 7*s(h). Find the second derivative of v(i) wrt i.
6*i
Let g(t) be the second derivative of -4*t**3/3 - 23*t**2/2 - 9*t. Find the first derivative of g(b) wrt b.
-8
Find the first derivative of -5*n**3 + 566 - 549 - 9*n**3 wrt n.
-42*n**2
Let j(w) = 6*w**3 - w**2. Let m be j(1). Let h(r) = -r**3 + 6*r**2 - 4*r - 1. Let t be h(m). Find the second derivative of -f**4 - f - 4*f + 4*f + t*f wrt f.
-12*f**2
Suppose 4 + 6 = u - x, -2*u + 5*x + 35 = 0. Suppose 0 = -4*g + 7 + u. Find the third derivative of 11*i**5 + g*i**2 + 1 - 13*i**5 - 1 wrt i.
-120*i**2
Let s(v) be the first derivative of 6*v**2 + 8*v + 8. Find the first derivative of s(z) wrt z.
12
Find the third derivative of -d + 2*d**2 + 0*d**2 - 2*d**6 + d wrt d.
-240*d**3
What is the second derivative of -6*b + 13*b + 13*b**4 - 11*b wrt b?
156*b**2
Find the second derivative of 6*l**2 - 20*l + 8*l + 8*l**2 wrt l.
28
Find the second derivative of 11 + 236*y**2 - 236*y**2 - 11*y**5 + y wrt y.
-220*y**3
Let v(p) be the first derivative of 3*p**4 - 4*p**3/3 + 9. Find the third derivative of v(i) wrt i.
72
Let g be ((-4)/6)/(5 + (2 - 15)). Let w(q) be the second derivative of 0*q**3 - 2*q + g*q**4 + 3/2*q**2 + 0. Differentiate w(l) with respect to l.
2*l
Let v = 14 + -10. Let r = v - 0. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
t is 5/4 of a litre in millilitres?
1250
Convert 953123.3 litres to millilitres.
953123300
How many microseconds are there in 28289.3 days?
2444195520000000
What is 7649.72 litres in millilitres?
7649720
What is 55/6 of a decade in months?
1100
What is fourty-six fifths of a microsecond in nanoseconds?
9200
What is 0.7790272 centuries in years?
77.90272
What is twenty-one quarters of a millennium in months?
63000
What is 6161.745ml in litres?
6.161745
How many nanograms are there in thirteen fifths of a microgram?
2600
How many months are there in 12381.61 years?
148579.32
What is eighty-seven halves of a milligram in micrograms?
43500
How many milligrams are there in thirteen eighths of a gram?
1625
How many hours are there in 3/8 of a day?
9
What is three eighths of a millennium in years?
375
What is thirteen fifths of a centimeter in millimeters?
26
What is one quarter of a milligram in micrograms?
250
What is 8/25 of a millennium in decades?
32
How many milligrams are there in 167.5868ng?
0.0001675868
How many nanoseconds are there in 5/8 of a microsecond?
625
What is 3/8 of a kilometer in meters?
375
Convert 2578.0266 nanoseconds to hours.
0.0000000007161185
How many decades are there in 5.767311 years?
0.5767311
What is three eighths of a day in seconds?
32400
What is 22/9 of a hour in seconds?
8800
How many nanometers are there in 0.3863922 micrometers?
386.3922
How many nanoseconds are there in 21/5 of a microsecond?
4200
Convert 8673.984 months to years.
722.832
How many meters are there in 252520.3 millimeters?
252.5203
How many minutes are there in 8934.65 days?
12865896
What is 11/10 of a gram in milligrams?
1100
What is thirty-two sevenths of a week in days?
32
How many millilitres are there in 31/5 of a litre?
6200
How many microseconds are there in 290387.9 nanoseconds?
290.3879
What is 957.6404 centuries in decades?
9576.404
How many kilometers are there in 45885.4 meters?
45.8854
Convert 5700.329l to millilitres.
5700329
Convert 31657840.2 microseconds to weeks.
0.0000523443125
What is 56299.7 weeks in microseconds?
34050058560000000
How many meters are there in 6/25 of a kilometer?
240
What is one tenth of a decade in months?
12
How many months are there in 514.6072 millennia?
6175286.4
How many litres are there in 575875.5 millilitres?
575.8755
How many micrometers are there in thirty-two fifths of a centimeter?
64000
How many millilitres are there in six fifths of a litre?
1200
How many millimeters are there in 12/25 of a meter?
480
How many months are there in 39.5591 millennia?
474709.2
How many millilitres are there in 7805.155 litres?
7805155
Convert 655.8026 centuries to years.
65580.26
How many micrometers are there in 0.7692535 kilometers?
769253500
What is 8/25 of a litre in millilitres?
320
How many centimeters are there in 646.4441mm?
64.64441
How many years are there in 27/5 of a century?
540
What is 60995.91 centimeters in millimeters?
609959.1
What is seven eighths of a litre in millilitres?
875
Convert 3.73568 grams to tonnes.
0.00000373568
How many minutes are there in 68506.95us?
0.0011417825
What is 11/4 of a kilometer in meters?
2750
Convert 82.73368 micrograms to tonnes.
0.00000000008273368
How many nanometers are there in 0.1689527km?
168952700000
What is 3/8 of a millisecond in microseconds?
375
How many micrometers are there in 32/5 of a millimeter?
6400
What is 6/25 of a centimeter in micrometers?
2400
Convert 51.5519 decades to months.
6186.228
What is 18382.64 kilograms in tonnes?
18.38264
Convert 17.9188 seconds to microseconds.
17918800
What is eleven quarters of a decade in months?
330
How many nanoseconds are there in 977839.5 minutes?
58670370000000000
Convert 88.61114um to centimeters.
0.008861114
How many millilitres are there in 1/5 of a litre?
200
What is 853390.1 weeks in hours?
143369536.8
What is seventy-seven fifths of a gram in milligrams?
15400
What is 7/2 of a millimeter in micrometers?
3500
Convert 26539.94l to millilitres.
26539940
How many millilitres are there in seven eighths of a litre?
875
What is 47/4 of a gram in milligrams?
11750
Convert 2.236571s to milliseconds.
2236.571
How many minutes are there in 7/16 of a day?
630
How many litres are there in 86.37175 millilitres?
0.08637175
How many micrograms are there in twenty-five eighths of a milligram?
3125
What is 743.6194 hours in microseconds?
2677029840000
How many hours are there in 85.40874s?
0.02372465
What is 5839.857m in kilometers?
5.839857
What is twenty-three thirds of a week in minutes?
77280
How many milliseconds are there in two fifteenths of a minute?
8000
What is 31/2 of a centimeter in millimeters?
155
What is fifty-nine fifths of a gram in milligrams?
11800
How many micrograms are there in three eighths of a milligram?
375
How many micrometers are there in 0.0162297mm?
16.2297
Convert 449.2316l to millilitres.
449231.6
How many millilitres are there in twenty-six fifths of a litre?
5200
How many milliseconds are there in 6/5 of a minute?
72000
How many minutes are there in 1/4 of a hour?
15
What is seven halves of a tonne in kilograms?
3500
What is 3766.138 nanometers in micrometers?
3.766138
How many nanometers are there in 11/2 of a micrometer?
5500
What is 8.720838ml in litres?
0.008720838
What is 1/5 of a milligram in micrograms?
200
What is twenty-eight thirds of a hour in seconds?
33600
How many centimeters are there in eleven quarters of a meter?
275
How many seconds are there in 1/24 of a week?
25200
Convert 62.55038 years to months.
750.60456
Convert 22554.5 days to hours.
541308
What is 0.109734 weeks in nanoseconds?
66367123200000
How many nanoseconds are there in 580380.3 milliseconds?
580380300000
How many milliseconds are there in eleven halves of a second?
5500
How many tonnes are there in 93833.98 micrograms?
0.00000009383398
Convert 4.586784 litres to millilitres.
4586.784
How many seconds are there in 8.499112ms?
0.008499112
How many years are there in nineteen quarters of a century?
475
What is 3/40 of a millimeter in nanometers?
75000
How many micrometers are there in 0.2444953 nanometers?
0.0002444953
How many millilitres are there in 5029.27l?
5029270
What is 1/45 of a day in seconds?
1920
What is 597.5234ng in grams?
0.0000005975234
Convert 35827.98 milligrams to micrograms.
35827980
What is 1.345087 years in months?
16.141044
What is seventy-three fifths of a day in minutes?
21024
What is 7/2 of a decade in months?
420
What is twenty-nine fifths of a week in minutes?
58464
How many millilitres are there in 844725.4 litres?
844725400
Convert 656666.4 millilitres to litres.
656.6664
What is 5/24 of a century in months?
250
How many microseconds are there in 84307.77ns?
84.30777
How many microseconds are there in fifty-four fifths of a millisecond?
10800
How many seconds are there in 6.902754ms?
0.006902754
How many centimeters are there in 3/10 of a meter?
30
How many millilitres are there in 42/5 of a litre?
8400
Convert 0.7064235m to centimeters.
70.64235
What is 7/8 of a litre in millilitres?
875
Convert 695754.5 kilograms to nanograms.
695754500000000000
How many tonnes are there in 64123.38ug?
0.00000006412338
What is 455669.9ml in litres?
455.6699
What is 26/5 of a micrometer in nanometers?
5200
How many millimeters are there in six fifths of a meter?
1200
What is 15/4 of a litre in millilitres?
3750
How many millilitres are there in 45.0938 litres?
45093.8
How many kilograms are there in twenty-one halves of a tonne?
10500
Convert 0.7088235s to nanoseconds.
708823500
How many minutes are there in fifty-one quarters of a day?
18360
What is 78771.29 nanometers in millimeters?
0.07877129
What is 3/25 of a micrometer in nanometers?
120
How many milliseconds are there in seven halves of a second?
3500
What is 7.527036 litres in millilitres?
7527.036
What is 3/40 of a millennium in months?
900
How many millilitres are there in 7.169713l?
7169.713
How many centimeters are there in 13/5 of a meter?
260
What is 41282.77 tonnes in kilograms?
41282770
What is 189.7219 kilograms in micrograms?
189721900000
What is 2157.816 seconds in minutes?
35.9636
How many millilitres are there in 8.962223l?
8962.223
How many years are there in 5/8 of a millennium?
625
How many nanograms are there in
|
{
"pile_set_name": "DM Mathematics"
}
|
s (-1 - -1) + -3 - -51 a multiple of 16?
True
Suppose 5*o - 65 = -y, 2*y + o - 75 = 2*o. Does 12 divide y?
False
Let b be 0/(-2 + 0 - -3). Let w = b + 3. Is 3 a factor of w?
True
Suppose 0 = x + 5*i - 13, 2*x - 49 = x + 4*i. Is x a multiple of 6?
False
Suppose 0 = -3*w + d + 17, 5*w - 54 + 7 = -3*d. Is 14 a factor of ((-273)/2)/w*-2?
False
Let w be 2/(-3) - 242/(-3). Let t be 34/6 - (-4)/(-6). Suppose -w = -3*m - 5*q, -t*m - q + 112 = 2*q. Does 13 divide m?
False
Suppose -3*a = -2*n - 2*n + 99, -2*n - 4*a + 66 = 0. Is n a multiple of 8?
False
Suppose 3*t - 7*t - 22 = 5*c, 4*t = -4*c - 20. Let i be (-1 + c)/((-6)/8). Suppose -j = i - 44. Does 16 divide j?
False
Let j be (1 + 2/(-3))*0. Let w be (-2 - j/1)/(-1). Suppose -4*m = w*t - 38, 2*t = m + 24 + 14. Does 6 divide t?
False
Let l be (2 - 3)*(3 + 0). Let s be (-6)/(-5)*(-10)/l. Is (-12)/(-14)*(17 + s) a multiple of 9?
True
Suppose 0 = -0*y - 5*y - 15. Let k be 2/(-4) + y/6. Let j(r) = -33*r**3 - 2*r**2 + 1. Is 15 a factor of j(k)?
False
Let p(d) = -199*d - 1. Does 11 divide p(-1)?
True
Let g(x) = 3*x**2 + 2*x - 12. Is g(-11) a multiple of 13?
False
Let s(k) = -7*k + 1. Let d(f) = -f**2 - 3*f + 1. Let j be d(-4). Does 7 divide s(j)?
False
Suppose 3*c + c - 144 = 0. Suppose -2*a + 5*a = c. Is a a multiple of 4?
True
Suppose -2*f + 15 = -17. Does 8 divide f?
True
Let t(o) = 21*o**2. Let m be (-2)/(6/9)*-1. Suppose 2 + 1 = m*b. Is 21 a factor of t(b)?
True
Suppose -2*g + 4 + 26 = 0. Let l be 22/5 - 6/g. Let m = 20 - l. Is 8 a factor of m?
True
Let n = -1 - -6. Suppose 0 = -n*r + 40 + 60. Does 10 divide r?
True
Let n be 9/(-3)*2/(-3). Is 21 + -3 - (4 - n) a multiple of 16?
True
Let f be (3 - 2)*7/1. Let r = 1 + f. Is r a multiple of 3?
False
Suppose 3*j + 125 = a, 2*a - 249 = 3*j + 7. Is a a multiple of 20?
False
Suppose 2*r = -0*r + 64. Is 7 a factor of r?
False
Let a be 1/1*2/(-1). Let y be (-20)/6*9/a. Suppose -3*r = -p + y, 5*p + 5*r - 28 = 27. Does 6 divide p?
True
Let l(u) = u**2 - 12*u + 12. Let n(i) = i - 1. Let y(s) = -l(s) - 6*n(s). Let g be y(5). Let x = 10 + g. Is x a multiple of 5?
False
Let a be 24/(-1)*1/(-2). Let y be a/8*4/3. Suppose y*r = r + 7. Does 5 divide r?
False
Suppose 0 = 4*c - 10 + 2. Let v = -45 + 75. Suppose -b + v = b + 2*a, 68 = 5*b - c*a. Does 14 divide b?
True
Is 34 a factor of (-958)/(-8) - (-8)/32?
False
Let f = -58 - -82. Is 12 a factor of f?
True
Suppose k - 6*k + 20 = 0. Suppose 3*j = 4*q + 55, q - 9 = -5*j + k*j. Is j a multiple of 5?
False
Let y = 75 - 48. Suppose 5*u + 2 + 3 = 0, -y = -q - 3*u. Is q a multiple of 10?
True
Let b be (0/(-1) - -1)*5. Let w = b - 0. Is w a multiple of 5?
True
Let g = -60 - -81. Does 8 divide g?
False
Let o be 3/15 + 74/5. Suppose 2*b - o - 15 = 0. Does 5 divide b?
True
Is 11 a factor of (-458)/(-14) - (-22)/77?
True
Let t(i) = i**3 + 3*i**2 + i - 2. Let l be t(-3). Let a = l + 39. Is 14 a factor of a?
False
Suppose 0*i - i - 6 = 0. Let l(u) = -u**3 - 5*u**2 - 3*u - 5. Is 20 a factor of l(i)?
False
Suppose -635 = 5*o + 5*w, 101 = -o + 2*w - 14. Let u = -76 - o. Is u a multiple of 14?
False
Suppose 0 = 3*g - 209 - 37. Let w = g + -55. Suppose w = k - 23. Is k a multiple of 17?
False
Suppose -4*u + n - 35 = -118, 109 = 5*u - 3*n. Is 10 a factor of u?
True
Suppose -16*b - 85 + 533 = 0. Does 7 divide b?
True
Let i = -317 - -497. Suppose 2*l - 6*l + 180 = 2*v, 2*v - 3*l - i = 0. Suppose 4*w - w = v. Is w a multiple of 15?
True
Let p(u) = -29*u**3 - 4*u**2 - 3*u - 2. Let i be p(-2). Suppose -4*t - f = -262, 3*t - 2*f - i = -18. Is 22 a factor of t?
True
Suppose -245 = -4*y - 4*v + 419, -325 = -2*y + 5*v. Is y a multiple of 16?
False
Suppose -n + 2*n = 0. Let f = n + 16. Is f a multiple of 16?
True
Let p = 1 - -39. Does 15 divide p?
False
Let o(w) be the third derivative of 5*w**4/12 - w**3 + 2*w**2. Let a = -15 - -23. Is 20 a factor of o(a)?
False
Let j be (3/2)/(7/14). Suppose 4 + 65 = j*s. Is 12 a factor of s?
False
Suppose -c + 198 = 2*c. Suppose -2*h + 5*h - c = 0. Does 11 divide h?
True
Let z = -18 - -31. Does 4 divide z?
False
Let p = 32 + -47. Let n = p + 93. Is 13 a factor of n?
True
Suppose -12 = -4*w + 4. Suppose 3*g - 62 = -w*i, -4*g + 18 + 33 = -i. Does 12 divide g?
False
Is (219/12)/((-4)/(-16)) - 0 a multiple of 6?
False
Suppose -195 = 4*t - 71. Let b = 47 + t. Is b a multiple of 13?
False
Let s(a) = a**3 - 5*a**2 + 3*a - 1. Does 7 divide s(5)?
True
Suppose 2*y - 5*u - 93 = 0, y - 63 = -y - u. Is 24 a factor of y?
False
Let g be 8/(-10) + (-2)/10. Is 4 a factor of ((-2)/(-3))/(g/(-18))?
True
Suppose 0 = -b - 3, 10 = 5*p - 2*b - 3*b. Let i = p - -4. Let k(t) = 5*t**2 - 1. Does 14 divide k(i)?
False
Let m(p) = -p**3 + 5*p**2 + 2*p - 6. Let a be m(5). Suppose -a*g + 136 = 16. Is g a multiple of 15?
True
Let h be 4/16*0 + 7. Let r = 46 - h. Does 13 divide r?
True
Let m(v) = v + 11. Suppose 8 = -2*j - 12. Let b be m(j). Let t = 11 + b. Does 6 divide t?
True
Let m(s) = 10*s**2 - 15*s + 1. Is m(-4) a multiple of 13?
True
Is 4 a factor of (-1)/(0 + 0 + 3/(-99))?
False
Suppose 0 = -3*l + 24 + 12. Does 2 divide l?
True
Let k = -4 + 6. Is ((-1)/k)/(9/(-72)) a multiple of 3?
False
Suppose -4*y + 332 = 56. Is 16 a factor of y?
False
Does 12 divide (-12)/7*1*(-2 + -5)?
True
Let d be 1/(-4) + 50/8. Suppose -5*v + v = -3*c - d, 0 = -4*v - c - 2. Suppose 2*u - 10 - 22 = v. Does 8 divide u?
True
Suppose -3 = -0*h - h. Let t(g) = 4*g**2 + 4*g - 2*g - h + 1. Does 9 divide t(2)?
True
Let b(a) be the third derivative of a**4/8 - 7*a**3/6 + a**2. Suppose 0 = -v + 5*r - 10, -5*v + 7 = -2*r - 12. Is 4 a factor of b(v)?
True
Let w = -13 + 17. Suppose 0 = w*b - m - 195, 0*m - 180 = -4*b - 4*m. Is 12 a factor of b?
True
Let s(f) = f**3 - f**2 + f + 46. Let p be s(0). Let l = p - 23. Is l a multiple of 6?
False
Let a(t) = -t + 32. Is a(0) a multiple of 32?
True
Let s = -10 + 12. Suppose -s*y - h = -5*h - 12, -y = -4*h - 2. Is 5 a factor of y?
True
Suppose -4*i - 5*z = -3*i - 28, -5*i = -5*z + 10. Let p(k) = k**3 + 2*k**2 - 4*k - 3. Is 10 a factor of p(i)?
True
Suppose -1 = 4*u - 17. Suppose -2*o = -u, 0 = h + 4*o + 11 - 48. Is 22 a factor of h?
False
Let u(i) = i**2 + 5*i - 10. Let w be (-8)/(-4)*6/4. Suppose w*c + 0*c = -5*h - 6, -c + h = 10. Does 3 divide u(c)?
False
Let t(b) be the first derivative of b**4/4 + 8*b**3/3 - 9*b**2/2 - b - 2. Let a be t(-9). Does 8 divide (a - 1)/((-2)/16)?
True
Let l = 246 - 150. Is 24 a factor of l?
True
Suppose 4*u = -3*z + 14, -5*z + 5*u + 40 = -3*z. Let a = z + 0. Is a a multiple of 10?
True
Let x(a) = a**2 - 5*a + 4. Let w be x(5). Suppose y - 8 = -3*y, w*y = 3*g - 73. Is 9 a factor of g?
True
Suppose 0 = 13*t - 417 - 961. Is t a multiple of 21?
False
Suppose -2*k - 3*g = -k - 18, 5*k - 5*g = 110. Suppose 4*v + 21 = -3*w, 2*w - 4*v - 9 = v. Is 16 a factor of k - (4 - (-1 - w))?
False
Is (-86 - 0)/(-9 - -7) a multiple of 15?
False
Let o(w) = -w**3 - 5*w**2 + 6*w + 2. Let h be o(-6). Suppose 42 = l + f, -h*l + 3*f + 170 = 3*l. Does 28 divide l?
False
Let h = 1 - -2. Suppose 0 = -2*u + h*u - 2. Suppose 13 + 9 = u*a. Is 11 a factor of a?
True
Let v(p) be the first derivative of -p**2/2 + 2*p - 8. Does 6 divide v(-4)?
True
Let g = -2 - -5. Suppose -5*k + 3*y = -365, k + g*y - 62 = 29. Suppose 0 = b + 4*s - 18 - 4, 2*s = -3*b + k. Does 20 divide b?
False
Is 27 a factor of ((-314)/(-8))/(8/32 - 0)?
False
Let y be (6/(-4))/(5/(-10)). Let t(c) = 2*c**3 - 2*c - 3. Is 15 a factor of t(y)?
True
Suppose -2*l = y - 60, -5*l + l = 16. Is y a multiple of 11?
False
Suppose -2*w = 2*w. Let i be -1 + (0 - -5) - w. Suppose -l + 8 = i*a - 21, -5*l + a + 61 = 0. Is l a multiple of 13?
True
Let w = 7 + -9. Does 18 divide 50*(w + 1 + 2)?
False
Suppose -6*k = -3*k + 15. Let i = k + 49. Does 17 divide (-4)/(-22) - (-1840)/i?
False
Let f be (0 + -1)/(-1) + 2. Suppose 0 = 3*r + f*l - 81, -l = 4*r - 6*r + 48. Is 25 a factor of r?
True
Is 4/(-3)*(-675)/15 a multiple of 12?
True
Let j be (-3 - -6 - 1) + 20. Let i be (-4)/j + 42/(-11). Let d(c) = -5*c - 4. Is d(i) a multiple of 16?
True
Let l be -1 + 2 + 0 - 0. Let z = 1 - l. Does 19 divide 35 + (1 - (z - -1))?
False
Let o(h) = 6*h. Is 3 a factor of o(2)?
True
Suppose -4*p = -0*p + 144. Is p*(7/(-2))/7 a multiple of 9?
True
Suppose -v + 3*k = -34 - 22, -4*v + 2*k + 234 = 0. Is v a multip
|
{
"pile_set_name": "DM Mathematics"
}
|
of -1*((174/(-783))/((-4)/762))/(2/(-6))?
127
Calculate (((-440)/(-150))/22)/(((-112)/(-660))/14).
11
Calculate ((-820)/(-320))/(-41)*18.
-9/8
What is the value of (24/32*-2)/(783/9135)?
-35/2
Evaluate ((-4)/(-10))/(((10/(-344))/5)/((-37155)/(-59448))).
-43
Calculate ((-12)/60)/((-9)/165)*-3.
-11
What is 1*-20*9198/1460?
-126
What is ((-22)/(-32))/((-6150)/8200)?
-11/12
Calculate ((-4257)/132)/(-2*(-12)/(-32)).
43
6/(65/(3055/4418))
3/47
What is the value of (384/14112)/((-72)/126)?
-1/21
What is the value of 20/120*-16*(-3672)/960?
51/5
What is ((-20640)/(-8600))/((-15)/325)?
-52
What is the value of (11/(100870/(-28)))/(-3*13/195)?
2/131
Calculate 13*((-4)/14)/(111/(419580/216)).
-65
What is the value of 84/22*(2/(-1))/(-2*11/121)?
42
What is the value of (-28)/(6/1*(-1014)/24336)?
112
4/2*(-3423)/1956
-7/2
What is the value of (-48978)/(-27210)*4/42?
6/35
Calculate (-68)/26*104962/(-4037).
68
What is ((-8)/2)/(6/((-4)/(-110)*1145/229))?
-4/33
Evaluate (4482/12)/(-83)*2/17.
-9/17
(-7)/98*-8*31/248*(-28)/3
-2/3
What is the value of (0*3/3)/((17098/(-103))/(-166))?
0
((-470)/(-9635))/(85/205)
2/17
Calculate ((-15)/(-156))/((255915/(-7896))/363).
-14/13
What is the value of (693/(-462))/(((-4)/(-123))/(208/1404))?
-41/6
What is 2*2*58349/12284?
19
What is (-8)/(32/(-28))*180/8*120/350?
54
What is the value of 1*((-38)/456)/(76/32)?
-2/57
Evaluate ((-232)/36*-6)/(((-2)/(-2))/((-57)/266)).
-58/7
What is (40*111/(-50912))/(10/(-16))?
6/43
(275/(-2640))/(20435/(-1608))
1/122
(((-20)/(-100))/(30/(-50)))/((-1)/108*2)
18
((-11)/70*-4)/(((-6)/45)/(120/(-90)))
44/7
Evaluate 19*-13*17/(-29393)*(-14)/(-15).
2/15
Evaluate 195390/(-6012)*6/5.
-39
What is 15/(-36)*(-9894528)/73620?
56
Evaluate 12/((16/(256/(-4)))/(3/18)).
-8
What is the value of (-4)/(((-138)/345)/((-36)/(-15)))?
24
What is the value of (-1260)/(-1920)*(-6272)/294?
-14
What is the value of ((64/44)/(-4))/((-36)/(-72))?
-8/11
Evaluate (((-444)/14)/((-705)/1645))/2.
37
Evaluate (-690)/14605*-1*10/30.
2/127
(-4)/(12/1)*0*6/24
0
(150/125)/(9/((-405)/198))
-3/11
Calculate 1*((-120)/(-420))/((-291)/(-21)).
2/97
What is the value of 104/(-910)*(-30)/(-4)*(-14)/3?
4
Evaluate (15/(-125)*-65)/((2/(-70))/(12/(-84))).
39
Evaluate (1*3)/((68541/(-558))/(-737)).
18
What is 3/18*(-310)/(-651)*1/(30/24)?
4/63
What is the value of (((-4)/(-5))/1)/((-162)/6075*165)?
-2/11
Evaluate ((-15)/945*21)/((-2)/48).
8
What is the value of (4*(-56)/(-672))/(3*(-1)/342)?
-38
Evaluate -5*-3*126/540*2.
7
Evaluate (5100/(-2448))/(1200/(-216)).
3/8
Evaluate 875/1050*(-4698)/2175*5/4.
-9/4
What is the value of ((-7840)/(-4200))/(1/(-2)*48/(-40))?
28/9
What is the value of -63*((-21750)/203)/(-150)?
-45
Calculate (-3)/15*(-882090)/2178.
81
(-106)/(44520/(-1764))*(-10)/(-6)
7
Evaluate 590/295*13/(-494).
-1/19
What is ((-7)/2)/(105*728/(-780))?
1/28
What is the value of ((-3)/(-5))/(((-107)/55)/107)?
-33
(45/6)/(4*60/(-1440))
-45
What is (-609)/58*(-8)/(-3)*47/(-1692)?
7/9
Calculate 10/((3220/(-322))/(14*(-3)/(-3)*-2)).
28
Calculate ((-55)/1551)/((-385)/462).
2/47
-3*11*(-301)/(-3465)*10/(20/(-6))
43/5
What is the value of (126/2)/(((-4)/15)/((-1760)/7700))?
54
(-1)/(-86)*-1*9/((-126)/(-56))
-2/43
Evaluate 6/135*36*80/608.
4/19
What is ((-1)/(-6)*(-159)/2)/(-307*37/(-45436))?
-53
Calculate (-3)/(-3)*35*(-3)/(-42)*22.
55
(-1)/(6/615)*-17*120/5100
41
(12/42)/(2/(-14))*(-2809)/(-106)
-53
Calculate 196/42*84/(-224)*2/(-35).
1/10
Evaluate (4/(32/232))/(77/(-77)).
-29
(-2)/(180/10*2/(-4)*1)
2/9
What is (1465/(-4688))/((-105)/3528)?
21/2
What is the value of -6*2/36*(-30)/(-5)*(-78)/12?
13
Evaluate 14/3*(386862/(-244))/151.
-49
Evaluate (-17)/((-1530)/(-108))*26*2/(36/(-15)).
26
Calculate ((-964)/241*2/4*-51)/((-267)/178).
-68
What is ((-1)/2)/((-6)/(-4)*9/(-3*324))?
36
Calculate (4/7*-2)/(1250/13125).
-12
Evaluate 20/8*-4*900/(-360).
25
((-2)/50)/(153*(-76)/(-31008)*(-8)/18)
6/25
Calculate ((-5460)/585*(-15)/7)/(-1).
-20
Evaluate (1*(-12)/(-8))/(552/(-2898)*(-35)/240).
54
Evaluate 47/((-75012)/513)*(-14)/(-48).
-3/32
Evaluate 1808244/(-39067)*5/15.
-108/7
(29/(-4))/(1637/32740)
-145
What is the value of (5145180/26613)/((-40)/18)?
-87
What is the value of (48*-1)/((-19)/((-494)/39))?
-32
Evaluate (-18)/(6*(60/20)/42).
-42
(91/(-52))/(7/(-2))*2508/(-342)
-11/3
Evaluate ((-10)/60)/((-159)/18126).
19
Calculate 10*(-14)/44*198/(-770).
9/11
What is the value of -12*-23*(-39)/(-45747)?
4/17
Calculate (22/11)/(77/(18711/18)).
27
Evaluate (((-1800)/140)/(-45)*-1)/(7/(7/2)).
-1/7
What is ((-10)/(-190))/((-446)/46607)?
-11/2
Calculate 6715/790*384/5168.
12/19
What is the value of (-1)/((-2)/((-36)/9))*((-732)/24)/1?
61
What is the value of (-837)/(-324)*230/10695?
1/18
What is the value of ((1148/4018)/(4/21))/((-9)/408)?
-68
What is (-165)/(-275)*6/(-90)?
-1/25
Calculate 16/6*(14229/1122)/93.
4/11
What is the value of ((-624)/(-18)*(-1)/2)/(60/18)?
-26/5
What is the value of (216/648)/((-2)/(-9)*((-78)/232)/(-13))?
58
What is the value of 27/(-18)*-1*(-442)/17?
-39
Calculate ((-3)/24*-28)/((-24)/(88800/259)).
-50
What is -14*21/(-49)*(240/(-15))/(-2784)?
1/29
What is -30*((-21)/70)/((-60)/680)?
-102
Calculate (8/18)/(26/(-65)*-1*10/(-4)).
-4/9
Evaluate (-29)/(-25259)*67*(-8)/2.
-4/13
What is 2268/(-504)*(-30)/25*(-1)/(-3)?
9/5
Calculate 0/((10/(-2))/(2655/(-3717))).
0
(15/36)/((-287)/4592)*-6*4/(-16)
-10
What is (105/(-80)*51/238)/((-9)/(-6))?
-3/16
((-110)/(-297))/(-2)*(-12)/(-15)*(-12)/(-48)
-1/27
What is the value of (6/(-7))/(3/(-117)*(-87)/((-168084)/(-897)))?
-72
What is (27018/(-790))/57*(-1)/1*-1?
-3/5
What is (2/10*2)/(((-47285)/(-14700))/193)?
24
What is (3/(-996))/(37/888*-3)?
2/83
What is -1*(28/(-924))/(((-56)/(-784))/((-6)/4))?
-7/11
Evaluate -16*24/(-2048)*11/(99/(-108)).
-9/4
Evaluate (47838/(-544))/67*20/(-140).
3/16
What is the value of 2/(-20)*4/2*40*20/(-320)?
1/2
What is the value of (-2)/30*(11088/(-42))/(-22)?
-4/5
Evaluate (12/200*450/120)/((-12)/(-20)).
3/8
Calculate (224/6048)/(6/4698).
29
Evaluate ((-1260)/40*122/(-2562))/((-78)/16).
-4/13
Calculate (35/(-140))/(9/(-4))*-30*33/(-154).
5/7
(-28075)/67380*(-6)/15
1/6
What is the value of (-3)/4*(-9960)/(-11952)?
-5/8
Evaluate (139840/(-480))/((-1380)/360).
76
What is 3966/181775*(-70)/42?
-2/55
Calculate (((-30)/890)/(114/(-95)))/(25/20).
2/89
What is ((-36)/5)/((-28)/80*-30*(-18)/630)?
24
What is the value of (22/((-242)/33))/(24/24)?
-3
((524112/1253)/122)/((-2*(-6)/(-14))/(-4))
16
((-14)/6)/((196/(-1512))/(10/6))
30
Calculate (((-14)/(-36))/(-1))/((5546/27730)/(4/(-10))).
7/9
Evaluate 454/(-681)*(-3)/38*-2.
-2/19
Calculate (33*(-9)/162)/(26/(-1716)).
121
Calculate (65/(-26))/((-2)/(1792/160)).
14
Calculate (4/10)/1*5230/(-8368).
-1/4
What is 196/6*-168*(-116)/(-5684)?
-112
What is ((-1582)/1017)/((-1)/((-10)/2*36/20))?
-14
What is (-42)/(-4)*(37760/(-2160))/59?
-28/9
What is the value of -15*4/50*150/30?
-6
What is the value of (-16*1/32)/((-7)/(-532))?
-38
What is the value of ((-30)/(-84))/(5325/2840)?
4/21
Calculate (((-20)/400)/((-44)/(-33)))/(1/(-2)).
3/40
Evaluate 4/(-1)*2*120/1120.
-6/7
(35/135)/7*36/8
1/6
Calculate -3*(-14)/3*(8528/1968)/(13/12).
56
What is the value of (33/((-242)/22))/1*(-12)/66?
6/11
Evaluate (104/468*-459)/(-6*(-11)/(-22)).
34
((-4)/(-10))/(413/(-3717)*9/2)
-4/5
(2/(-72))/(3663/230769)
-7/4
What is (4/(-11))/((-589)/71269)?
44
What is the value of (-616)/(-55)*(-525)/420?
-14
Calculate ((-35)/4)/((-34811)/(-119352)).
-30
What is the value of ((-1056)/176*(-3)/(-120))/((-1)/(-28))*-5?
21
What is the value of (47475/(-7596))/((-3)/24)?
50
What is the value of 58*(((-3)/18)/(6/(-4)))/((-12)/(-108))?
58
Calculate (-22)/132*-2*6/8*164.
41
What is ((-34605)/(-15380))/((-23)/(-4))?
9/23
What is the value of -11*(-11)/38720*2*(-4)/64*-40?
1/64
Calculate (-708)/(-236)*(-36)/(-297).
4/11
Calculate ((-32)/984*15/(-12))/((-200)/720).
-6/41
(58/4)/(256/((-208896)/1020))
-58/5
Evaluate ((-24)/(-14)*(-1876)/(-2680))/(6/220).
44
Evaluate 0*((-141)/(-3))/1974.
0
((-3)/30)/((-4501)/(-3215)*8/(-252))
9/4
((3570/(-48))/(-17))/((595/(-204))/(-5))
15/2
What is the value of ((-78)/(-468))/((-4)/1968)?
-82
What is the value of (4/(-129))/((-103896)/57276)?
2/117
Evaluate (((-40)/(-24))/((-245)/(-42)))/((24/(-196))/(-6)).
14
Calculate (-123)/4*(-32)/3*71/(
|
{
"pile_set_name": "DM Mathematics"
}
|
take away -2.4?
-1368.7707
What is 47 take away 249436552?
-249436505
Add together 6.55054 and 188.
194.55054
Subtract -1925319 from -530.
1924789
What is 40290 less than 39.0941?
-40250.9059
Total of 46 and 4051403.
4051449
Total of -500008 and 3.85.
-500004.15
What is 0 plus 9508993291?
9508993291
Sum -1.73751 and -0.19.
-1.92751
What is -86.6 plus -12.7391?
-99.3391
What is -188.049 take away -65?
-123.049
What is -4051.98 + 12309?
8257.02
What is the distance between 596858.3 and -4?
596862.3
Subtract -1.95 from -0.96757.
0.98243
What is 0.451 + -0.14488?
0.30612
52296 + 0.0664
52296.0664
What is -0.05107 minus 936333?
-936333.05107
Calculate 268 - 0.020207577.
267.979792423
Add together -0.3 and 466946670.
466946669.7
What is 3 take away -8263979?
8263982
Add -0.1 and 294572995.9.
294572995.8
Add -214 and -0.101126.
-214.101126
What is the distance between 63435596.2 and 0.1?
63435596.1
Total of 47332837 and 4.
47332841
Calculate -10 - 134688.
-134698
Put together -1279524 and -3.6.
-1279527.6
What is 220910 - 8950.9?
211959.1
What is 0.022553 take away -78561?
78561.022553
Work out -305 + 20588.
20283
Work out -1436574.1 + -2.
-1436576.1
What is 0.25 - 10.2705?
-10.0205
-0.5 + -5158800545
-5158800545.5
Put together 0.1766384 and -0.1.
0.0766384
0.3 + 288041.19
288041.49
What is -33.91 less than -128537?
-128503.09
Sum 24678.039 and 0.
24678.039
What is the difference between 4 and -2769619.679?
2769623.679
Add together 310 and -36923.
-36613
Add together 1 and -1.2659065946.
-0.2659065946
Add 948001.5301 and 4.
948005.5301
Subtract -1.6249 from -876.025.
-874.4001
Work out 8515190 - -154.
8515344
Calculate 115.9 + -13872.
-13756.1
What is the difference between -5824943 and -2?
5824941
What is -0.452330245 + -0.4?
-0.852330245
3.618+491.5
495.118
Subtract 0.27 from -302195.
-302195.27
What is -23 minus 0.0509784245?
-23.0509784245
Subtract 0.08 from -0.09387706.
-0.17387706
Add -30161965 and -42.
-30162007
What is the distance between -0.17302 and 79.31?
79.48302
What is -14452.486 minus 131?
-14583.486
Subtract 0.0468 from -4658101.
-4658101.0468
Subtract 10334944.7 from 2.2.
-10334942.5
Put together 22.91 and 0.1033669.
23.0133669
What is 4529.3 less than 5.34?
-4523.96
What is the difference between -2175758575 and 11?
2175758586
Subtract 295 from -494535.
-494830
Add -1145240244 and 7.
-1145240237
Total of 19.85399 and 9.9.
29.75399
Add 58 and 7676015.
7676073
235512 - 35
235477
Work out -663403 - -2.9.
-663400.1
What is 0.0232 plus -20943.8?
-20943.7768
Subtract 34474330 from 7.
-34474323
Sum -3433318 and -0.14.
-3433318.14
What is 49297525 minus 0.1?
49297524.9
78284.9037 - 8
78276.9037
Sum -150.8621 and 0.03.
-150.8321
Work out 5 - 18700465.
-18700460
What is the difference between 446.55 and 90?
356.55
What is 124280001 minus -23?
124280024
Subtract 33 from 1.7088501.
-31.2911499
What is 0.097972554 less than -82?
-82.097972554
Calculate -67831 - 264053.
-331884
-2434699107 - 0.5
-2434699107.5
Subtract -0.52 from 290824252.
290824252.52
Work out 10296 - -36581.
46877
Add together 24.2 and 15373.6.
15397.8
What is 1 take away -0.97555048?
1.97555048
What is 23.4 take away -50706?
50729.4
Calculate 1 - -480269.57.
480270.57
What is -107 plus 2303773?
2303666
Total of -112442523 and 0.4.
-112442522.6
1088930.4 - -1.1
1088931.5
Calculate -6227.88 + 0.0446.
-6227.8354
What is 176970323 less than -0.2?
-176970323.2
Subtract 1477953 from 1.
-1477952
Add 3757341 and 0.
3757341
Add -3773147 and -0.1.
-3773147.1
What is 539480215.5 plus -4?
539480211.5
What is -648.9127 plus 7?
-641.9127
What is -4492 + 204638?
200146
Calculate -0.4 - 111518977.
-111518977.4
What is 551.82398 less than 0.1?
-551.72398
Work out -82.7 - -8.6225.
-74.0775
Subtract 4.9734 from -97.2903.
-102.2637
What is -14.6774 take away 37?
-51.6774
What is -0.4 + 1343551262?
1343551261.6
What is 10490.9 less than -2?
-10492.9
What is 0.26 less than -16262.961?
-16263.221
-0.211689 - 272
-272.211689
What is -19936.9 take away 378?
-20314.9
Sum -39 and 1863461.
1863422
Calculate -0.435 + -0.1577039.
-0.5927039
What is 619722 take away -1971.21?
621693.21
Put together -41022 and -0.4445.
-41022.4445
Calculate 0.25 - -76.056.
76.306
Subtract 2168368 from 19.1.
-2168348.9
Subtract -86.87 from 3.2585.
90.1285
What is -1.798515 minus -25?
23.201485
Calculate -5675 - -21469.
15794
What is 0.0385 take away 164.583?
-164.5445
Calculate -676063 - -13.
-676050
Add together -4 and 1.079503023.
-2.920496977
Work out 9 - 107163.
-107154
Work out 447951 - 5.1.
447945.9
What is -113635 - 2.668?
-113637.668
Total of -80018 and 767.
-79251
What is the distance between -179403522 and -1.1?
179403520.9
What is -0.002 - 15076992?
-15076992.002
What is 0.053 less than -224842.853?
-224842.906
Work out 129433375 + 49.
129433424
-4 - 106234237
-106234241
Sum -242 and 36.765.
-205.235
Total of -28204078 and 0.2.
-28204077.8
Work out -0.0265 + 43073.
43072.9735
What is -50836532 plus -2?
-50836534
-0.031 - -275841
275840.969
Calculate 1.4589 + 4.5.
5.9589
What is 0.68 take away -42791.572?
42792.252
-615123+-56.02
-615179.02
What is -3385.09047 - -0.4?
-3384.69047
Add together 0.249 and 0.178921.
0.427921
Add -408567 and 732.
-407835
Add together 1592983 and 13.
1592996
Calculate -2203 - 117021.
-119224
Work out 44199 + 2.35.
44201.35
What is the difference between 2357.2188 and 3.65?
2353.5688
What is -1 less than -121389350965?
-121389350964
Subtract -7390.223 from -0.02.
7390.203
Calculate -662 - -28918410.
28917748
Total of -1992.60816 and 0.061.
-1992.54716
Calculate -0.2 - 17098103504.
-17098103504.2
What is 737.42042 plus -1.6?
735.82042
-0.1272 - 1634550
-1634550.1272
Sum -3001489.48 and 3.
-3001486.48
-4636 - 9599
-14235
Add together -0.2 and 62.91966.
62.71966
Add -2.5 and -16.856853.
-19.356853
-48960313 - 2547
-48962860
What is -1.29 less than -8363999?
-8363997.71
What is 0.398 less than -1132.5733?
-1132.9713
What is 3 - -21328117?
21328120
Total of 27273467 and -175.
27273292
Put together -16 and -5028.34232.
-5044.34232
What is the distance between -18591358 and -29?
18591329
-0.2872 - -18.57
18.2828
-31 - -1251259128
1251259097
78183027.3+-0.2
78183027.1
Calculate -3.8 - -2074.
2070.2
Work out -21 - -368.257.
347.257
Work out -4 + 8196230511.
8196230507
0+2525.393
2525.393
What is 0.06570441 minus -4?
4.06570441
What is 8 + 0.082941229?
8.082941229
Calculate 1181 - -3439.
4620
What is -110.42 - -2.019?
-108.401
What is 7839.62 + -59912?
-52072.38
Calculate -20 - -60912.11.
60892.11
What is 0.3 - 98.2335?
-97.9335
What is 53022 - 644.2?
52377.8
-4 + 15946061
15946057
Put together -91802 and -3428.
-95230
What is 2 less than -1.805847?
-3.805847
What is 11 - -240524172?
240524183
What is -1278670 - -2.47?
-1278667.53
Calculate -11016.062 - -13.
-11003.062
What is the difference between -3395315647 and 9?
3395315656
What is 2.3 take away -70252173.7?
70252176
114388.415 + -74.6
114313.815
Calculate 9 + -757919947.
-757919938
What is -62259257 - 1.34?
-62259258.34
Calculate -13.5 - 59690.
-59703.5
What is 1214 plus -19299220?
-19298006
What is 0.517249 less than 3536?
3535.482751
-65 - 323979
-324044
Sum 116404 and -177.6.
116226.4
What is -6.841 plus -3.001?
-9.842
Add -38.59147 and 11.
-27.59147
What is 551.568 - 10.04?
541.528
611242+1.3572
611243.3572
What is 13 less than -6241.1?
-6254.1
What is 158188079 plus -5?
158188074
-85+-1835.2
-1920.2
What is -96920870813 + 5?
-96920870808
Sum -4966 and -1936798.
-1941764
Total of 176750.56 and -0.5.
176750.06
Total of 27802.22 and 5022.
32824.22
Work out -173 - 17139.6.
-17312.6
Subtract -0.648464 from 365.
365.648464
What is 0.339 take away -7217735?
7217735.339
Calculate 80558.6246 + -11.
80547.6246
Add together 16 and -0.818488199.
15.181511801
Work out 0 - -13440773.
13440773
Sum 7.9 and -1056720.
-1056712.1
What is 11670.91 - -2253?
13923.91
Calculate -0.0016 + 30592142.
30592141.9984
Total of -5 and -214349.78.
-214354.78
What is -0.049344 + -749?
-749.049344
78667972978+-0.3
78667972977.7
5.02 + 20088
20093.02
Total of -751 and 961.8.
210.8
Work out -5 - 1.615943284.
-6.615943284
Add -0.0115 and 6564343.
6564342.9885
Work out -27 - 49314979.
-49315006
136.4 + -17.33
119.07
177+-422877
-422700
What is 86.21 minus -0.2455?
86.4
|
{
"pile_set_name": "DM Mathematics"
}
|
= -1 + y + 6*i**2. Determine w(k(a)).
-12*a**2
Let o(t) = t. Let f(q) = 62*q. Let p(b) be the third derivative of -7*b**4/8 - 8*b**2. Let x(a) = 6*f(a) + 17*p(a). Determine o(x(h)).
15*h
Let q(p) = 7*p + 12. Let m(c) = -c - 2. Let b(u) = 6*m(u) + q(u). Let l(g) = -146*g**2 + 2*g. Calculate l(b(y)).
-146*y**2 + 2*y
Let b(f) = -152*f + 8. Let o(u) = -50*u + 3. Let y(q) = 3*b(q) - 8*o(q). Let l(w) = w. Give l(y(p)).
-56*p
Let j = -16 - -22. Let v(c) = 3*c - 12*c + j*c + 4*c. Let r(y) = -34*y**2. Determine r(v(q)).
-34*q**2
Let o(z) = -z**2. Let n(k) be the first derivative of -k**5/24 + 19*k**3/3 + 16. Let r(y) be the third derivative of n(y). Calculate r(o(i)).
5*i**2
Let s(b) = 8*b - 4. Let x(a) = a**2 + 389*a. Calculate x(s(y)).
64*y**2 + 3048*y - 1540
Let h(d) = 2*d. Let m(b) = 158*b + 3. Let r(n) = -2*n - 1. Let x(p) = m(p) + 3*r(p). Calculate x(h(l)).
304*l
Let g(a) = 15*a**2 - 7*a + 14. Let j(h) = 2*h**2 - h + 2. Let p(z) = -2*g(z) + 14*j(z). Let k(c) = 59*c. Determine p(k(q)).
-6962*q**2
Let h(q) = 13*q. Let n(w) = 5*w**2 + 2*w - 155. What is n(h(k))?
845*k**2 + 26*k - 155
Let l(v) = -v + 4*v**2 - v + 2*v. Let m(z) = -z + 5*z - 5*z. What is m(l(h))?
-4*h**2
Let q(h) = -13*h + 3. Let w(r) = -90*r + 20. Suppose 0 = -3*i - i - 48. Let m be (-3)/i*(17 + -5). Let a(j) = m*w(j) - 20*q(j). Let t(l) = 2*l. What is a(t(k))?
-20*k
Let z(s) = s. Let t(y) = 8*y**2 + 1577. Calculate t(z(r)).
8*r**2 + 1577
Let t(w) = -w**2 - w + 1. Let p(j) = -4*j**2 - 3*j + 3. Let q(l) = -2*p(l) + 6*t(l). Let o(f) = 53*f**2. Determine o(q(v)).
212*v**4
Let s(n) = -5*n**2. Let a(o) = 24050*o. Determine a(s(w)).
-120250*w**2
Let a(f) be the third derivative of 0 + 0*f + 0*f**3 + 16*f**2 - 1/24*f**4. Let i(o) = -8*o. Calculate i(a(g)).
8*g
Let o(d) be the first derivative of -9*d**2 + 153. Let q(x) = -13*x. Calculate o(q(b)).
234*b
Let z(b) = b**2 - 5. Let o(l) = 1. Let k(v) = -8. Let t(r) = -k(r) - 4*o(r). Let g(s) = 5*t(s) + 4*z(s). Let y(u) = u. Give g(y(d)).
4*d**2
Suppose -11 + 5 = -2*h. Let w(i) = -h*i + 4*i + 0*i + i. Let f(c) = -5*c. Let p(k) = 10*k. Let q(v) = 5*f(v) + 2*p(v). Determine w(q(g)).
-10*g
Let d(a) = -229*a. Let b(i) = 1334*i**2. Determine d(b(j)).
-305486*j**2
Let l(f) be the first derivative of 16*f**2 - 2*f + 1. Let b(n) = -2*n + 66. Let r(s) = -4*s + 165. Let x(m) = 5*b(m) - 2*r(m). Determine x(l(h)).
-64*h + 4
Let s(m) = -5*m - 146. Let z(d) be the second derivative of d**3/6 + 3*d + 20. Determine s(z(h)).
-5*h - 146
Let u(w) = 567*w**2. Let s(h) = -1323*h. Calculate u(s(y)).
992436543*y**2
Let q(p) = 3*p**2. Let c(s) = -37409*s. Determine c(q(k)).
-112227*k**2
Let f(l) = -1388*l. Let o(i) = 8*i**2 + i. What is o(f(b))?
15412352*b**2 - 1388*b
Let w(n) = 28*n + 107. Let d(g) = -2*g - 10. What is d(w(r))?
-56*r - 224
Let i(j) be the second derivative of -2/3*j**4 + 0*j**3 + 0*j**2 + 0 - 19*j. Let p(a) = 2*a. Calculate i(p(h)).
-32*h**2
Let m = 28 + -28. Let l(i) = m*i - 4*i - 2*i + 3*i. Let k(y) = -2*y. What is l(k(d))?
6*d
Let b(q) = -q**2. Let m(i) = 195*i + 15 - 10 - 5. Give b(m(x)).
-38025*x**2
Let i(x) = -19*x**2 - 5*x. Let q(v) = -10*v**2 - 2*v. Let h be (-2)/(2/8*4). Let l(a) = h*i(a) + 5*q(a). Let z(k) = k**2. Determine z(l(m)).
144*m**4
Let h(q) = -5*q**2. Let p be 4 - ((-546)/(-12))/13. Let r(m) be the first derivative of 5 + 0*m + p*m**2. Determine h(r(k)).
-5*k**2
Let g(c) = -3*c + c**2 + 3*c. Let k(i) = i**2 + i. Let f(a) be the first derivative of -2*a**3 - 3*a**2/2 - 27. Let b(h) = -f(h) - 3*k(h). What is g(b(z))?
9*z**4
Let z(t) = -t. Let o(v) = v. Let r = 2 - 9. Let u = 10 + -6. Let y(w) = w. Let f(l) = r*y(l) + u*o(l). Calculate z(f(i)).
3*i
Let m(w) = -145*w + 2889. Let z(o) = -3*o. Calculate z(m(u)).
435*u - 8667
Let s(z) = -z**2 - 2*z. Let b(a) = a + 15. Let x(g) = g + 6. Let h(j) = 2*b(j) - 5*x(j). Give s(h(y)).
-9*y**2 + 6*y
Let v(w) = -139*w. Let k(x) = 5 - 5 + 13*x - 14*x. Calculate v(k(m)).
139*m
Let b(a) = 4*a + 24. Let q be b(-4). Let y(w) = -2*w + 16*w - q*w. Let m(j) = 0*j + j - 3*j. Give y(m(z)).
-12*z
Let n(t) = 6*t + 9. Let w(v) = 5*v**2 + 2*v + 4. What is w(n(y))?
180*y**2 + 552*y + 427
Let q(t) be the third derivative of t**5/60 - 3*t**2 - 6*t. Let i(n) = 39*n. What is i(q(k))?
39*k**2
Let n(p) be the first derivative of 0*p + 33 + 0*p**2 + 1/3*p**3. Let x(s) = -16*s + 1. What is x(n(w))?
-16*w**2 + 1
Let b(z) = -367*z**2. Let n(u) = 212*u**2. Give b(n(o)).
-16494448*o**4
Let s(d) = 218*d + 12. Let o(f) = -218*f - 9. Let z(q) = 4*o(q) + 3*s(q). Let u(v) = v**2. What is z(u(w))?
-218*w**2
Let g(b) be the second derivative of b**4/12 - 2*b. Let v be ((-33)/(-11))/((-6)/(-4)). Let j(p) = -12*p**2 - p**2 + p**v. Give j(g(i)).
-12*i**4
Let r(l) be the third derivative of -59*l**4/12 + 66*l**2. Let b(i) = 2*i**2. Determine r(b(p)).
-236*p**2
Let z(q) = -9*q + 36. Let u(c) = 2*c**2. Calculate u(z(w)).
162*w**2 - 1296*w + 2592
Let g(o) = -2*o. Let s(c) be the second derivative of 9*c + 9*c - 36*c + 8*c - 4*c**3. Determine g(s(a)).
48*a
Let w(z) = -17*z. Let l(q) = -222*q - 5. Determine w(l(x)).
3774*x + 85
Let r(g) be the first derivative of -5*g**2/2 - 254. Let c(o) be the first derivative of -o**3/3 + 1. Calculate c(r(n)).
-25*n**2
Let z(a) = -404*a. Let d(g) = -134*g. Calculate z(d(c)).
54136*c
Let f(z) = 324*z + 6. Let x(s) = 4*s**2 - 4. Give f(x(m)).
1296*m**2 - 1290
Let y(c) = -7*c**2 - 8*c**2 + 6*c**2. Let w(q) be the second derivative of -q**4/6 + 2*q - 4. Determine w(y(o)).
-162*o**4
Let g(t) = t - 2 + 2. Let a(w) = 5735 - 29*w + 5*w - 5735. Calculate g(a(m)).
-24*m
Let s(c) = -5*c - 5*c + 10*c - 10*c**2. Let q(r) = -9*r - 5. Let p(d) = -4*d - 2. Let i(n) = -5*p(n) + 2*q(n). Give i(s(k)).
-20*k**2
Let u(x) = x**2 + 5*x + 1. Let g(n) = n**2 + 10*n + 2. Let j(m) = 2*g(m) - 4*u(m). Let f(t) = 192*t**2. What is j(f(d))?
-73728*d**4
Let h(q) = -q**2. Let n(v) = -2*v**2 - 11*v - 64. Give n(h(l)).
-2*l**4 + 11*l**2 - 64
Let j(x) = 2*x. Let w(y) = y + 1. Let d(g) = 11*g + 3. Suppose 2*i - 5*u - 8 = 0, -5*i - 3*u - 11 = -0. Let o(l) = i*d(l) + 3*w(l). Determine j(o(m)).
-16*m
Let u(k) = -193*k + 570. Let q(p) = -p**2. Determine u(q(m)).
193*m**2 + 570
Let v(n) = -30*n + 7 - 7 + 28*n. Let f(k) = -23*k. Determine f(v(m)).
46*m
Let u(o) = 19*o. Let w(d) = 3*d - 15. Calculate u(w(l)).
57*l - 285
Let c(p) = -4*p**2. Let x(h) be the second derivative of 67*h**4/12 - 49*h. What is x(c(v))?
1072*v**4
Let v(n) be the first derivative of -n**2/2 + 18. Let y(z) = -2*z - 2*z + 4*z - z**2. Determine y(v(b)).
-b**2
Let k(f) = 3332*f + 1078. Let z(p) = -37*p - 12. Let l(o) = -6*k(o) - 539*z(o). Let m(n) = -2*n**2. What is m(l(d))?
-4802*d**2
Let w(f) = 8*f**2. Let o(p) = -30097*p. Give w(o(h)).
7246635272*h**2
Suppose -10 = -4*o - 2. Let c(r) = -11 + 11 + r**o. Let f(y) = y**2. Let j(l) = 16*l**2. Let m(k) = 12*f(k) - j(k). Determine m(c(u)).
-4*u**4
Let p(o) be the third derivative of -o**4/24 - 3*o**2. Let m(d) be the first derivative of -20*d**3/3 + 411. What is m(p(v))?
-20*v**2
Let a(b) = -20*b + 34*b + 31*b. Let c(n) = 5*n. Let d(y) = -4*a(y) + 35*c(y). Let p(s) = 3*s**2. What is d(p(u))?
-15*u**2
Let c(m) = 2*m. Let j(d) = -299*d**2 - 2*d - 1159. Calculate c(j(a)).
-598*a**2 - 4*a - 2318
Let p(z) = 2*z**2 - 436*z. Let m(v) = -v - 2. Calculate m(p(n)).
-2*n**2 + 436*n - 2
Let t(k) = 19*k. Let c(w) = 13*w. Let i(z) = -8*c(z) + 5*t(z). Let j(x) = -x + 6. Let u(b) = -b + 11. Let q(m) = 11*j(m) - 6*u(m). Determine i(q(d)).
45*d
Let h(j) be the third derivative of j**5/30 + j**2. Let d(g) be the first derivative of -2*g**3 + 145. Determine d(h(l)).
-24*l**4
Let c(j) be the second derivative of j**4 - 3*j + 3*j + j. Let n(q) = 159*q + 150*q - 468*q + 158*q. Calculate c(n(t)).
12*t**2
Let g(a) = 77*a**2 - 222*a. Let f(s) = -12*s**2. Determine g(f(d)).
11088*d**4 + 2664*d**2
Let c(v) = -626*v**2 - 18*v. Let a(f) = -2*f. Calculate a(c(s)).
1252*s**2 + 36*s
Let l(v) = -4*v**2. Let z be -3 - (-4)/(-4)*-13. Suppose -3*q + q = -z. Let j(p) = 0*p + q*p - p. What is j(l(s))?
-16*s**2
Let v(r) = -4 - 2*r + 4. Suppose -12*g = -16 - 8. Let h(o) = -11*o**2 - 10*o**2 + 19*o**g. Determine h(v(j)).
-8*j**2
Let z(m) = -m. Let r(v) be the second derivative of -11*v**4/12 + 22*v - 2. What is z(r(g))?
11*g**2
Let q(a) = 5*a + 9. Let f(k) = -40*k**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
uming i is positive.
i**(655/219)
Simplify (i*i**(5/3)*i)/((i*i**0)/i)*(i*i**(3/7)/i)**(-2/7) assuming i is positive.
i**(521/147)
Simplify ((c**(-3)/(c/((c*c*c*c**(1/5))/c)))**(-12))**(-23/5) assuming c is positive.
c**(-2484/25)
Simplify (((c/(c*c/((((c*c/(c/(c*c*c/c**(7/4))))/c)/c*c)/c)))/c*c)/c*c*c/(c/(c/c**16)))/((c/(c**(-3/11)*c))/(c*c*c**(-1/13)/c)) assuming c is positive.
c**(-8637/572)
Simplify (b*b**(-34)*b*b*b**(-30))**(-19/2) assuming b is positive.
b**(1159/2)
Simplify (w*w*w*(w/w**(-26))/w*w*w*w**(2/17))**12 assuming w is positive.
w**(6348/17)
Simplify (((d/(d/(d*d/(d/(d/(d*d*d*d*d*(d*d/(d**(12/7)*d))/d*d)))*d)))/d)/d)/d*d*d*d**(-1/51)*d*d**(-3/5)*d**(2/41)/d assuming d is positive.
d**(-209056/73185)
Simplify f**(1/4)/f**(4/17)*(f**19/f)/f**(-1/7) assuming f is positive.
f**(8643/476)
Simplify (r**(1/19)*(r*r**(-17))/r)**(13/4) assuming r is positive.
r**(-2093/38)
Simplify (h*h**(2/11)*h*(h/h**(-1/8))/h)/(h**(-8/3)/h)**(-3/20) assuming h is positive.
h**(773/440)
Simplify (a**(-1/11))**15/(a/((a/a**(-18))/a*a)*a/a**(-2/9)) assuming a is positive.
a**(1526/99)
Simplify (o**(8/13)/(o*o*o**(-28)*o))/(o*(o/(o/(o*o/(o*o**13))*o))/o*o**(-12)) assuming o is positive.
o**(658/13)
Simplify (h**(-6)*h)/h**(-2/19)*(h**(2/5)/h)**(3/2) assuming h is positive.
h**(-1101/190)
Simplify ((p**(-1/2))**4/(p**(4/7))**(-2/37))**(-12) assuming p is positive.
p**(6120/259)
Simplify (((x**2/x)/(x**(2/3)/x))/(x**(-6)*x**(-1/4)/x))**(-31/4) assuming x is positive.
x**(-3193/48)
Simplify (i/(i/(i*i**(-3/7)*i)*i)*i**(-5)*(i*i**0*i)**(1/25))**(-1/31) assuming i is positive.
i**(761/5425)
Simplify (g**2/(g/(g*g/g**(-7)*g))*(g/(g/g**(2/7)))**17)**(1/18) assuming g is positive.
g**(37/42)
Simplify ((d*d**(-6)*d*d**5/d)/((d*d/(d**0/d))/d)**0)**(-40) assuming d is positive.
1
Simplify ((j/j**4)/j**3*(j**(-1))**35)**(-3/19) assuming j is positive.
j**(123/19)
Simplify (g*g*g/g**(-9)*g*g**(1/14))/(g**34/(g/(g*g**(-3/4))*g)) assuming g is positive.
g**(-537/28)
Simplify ((x**(-2/3)*x*x)**(-8)*((x*x*x*x**(-1/7)/x*x)/x)/(x/x**(-2/7)))**(35/2) assuming x is positive.
x**(-530/3)
Simplify ((v/(v*v**(-2/7)*v)*v)**(-37)/(v**(2/5))**(8/7))**(19/3) assuming v is positive.
v**(-7334/105)
Simplify (o*o*o**4)/(o/(o*(o*o**(-20))/o))*o**(-1/11)*o**(2/15) assuming o is positive.
o**(-2303/165)
Simplify ((t**(4/11)/(t*t**(-24)))**(-2))**29 assuming t is positive.
t**(-14906/11)
Simplify ((p/(p*p/((p/p**(1/6))/p)*p))/p**(2/13)*p**(-2/17)/(p*p/p**3))**(-26) assuming p is positive.
p**(1907/51)
Simplify (((b*b/((b**(-16)/b)/b))/b)/b**(2/29))/(b**(-2/59)*b**(4/5)) assuming b is positive.
b**(155401/8555)
Simplify ((y/((y*y*(y*y*(y/y**(-3))/y*y*y)/y*y)/y))/(y**(-2/9)*y*y)*((y*y**(-1/3)*y)/y)**36)**(-1/22) assuming y is positive.
y**(-137/198)
Simplify z*((z/((((z**(-2/17)*z)/z*z)/z)/z*z))/z)/z*(z/(z**8*z))/z*(z*z**(-4)*z)**(15/4) assuming z is positive.
z**(-557/34)
Simplify ((c**(-8)*c*c/(c*c**11))**(-43))**9 assuming c is positive.
c**6966
Simplify u/(u**(5/7)/u)*u**(1/5)*u*(u**(-14))**(-18) assuming u is positive.
u**(8907/35)
Simplify (z**2)**(-2/45)/((z/z**(-2)*z*z)/z)**29 assuming z is positive.
z**(-5224/45)
Simplify (u*u**(-4)*u)**21*u**(-2/5)*u**(-9)/u*u assuming u is positive.
u**(-257/5)
Simplify (s/(s*s**(3/7)))**(3/38)*s**(3/13)/(s*s/(s/(s/(s/((((s/(s/(s*s**(-22))))/s)/s)/s))))*s) assuming s is positive.
s**(76757/3458)
Simplify ((v*v/(v*v**7)*v)/(v**(3/4)/v))/(v**(1/24)*v**(1/11)/v) assuming v is positive.
v**(-1025/264)
Simplify (l**8*l**(2/13)*l*l)/(l**(-1)*l)**(-4/15) assuming l is positive.
l**(132/13)
Simplify ((u*u**(-3/4)/u*u*u)/u*u**(-2/5))/((u*u**(-16))/u**(-7)) assuming u is positive.
u**(157/20)
Simplify (n**(-7/4)/n**6)/((n/(n*((n*n**(-2/31)*n)/n)/n*n))/((n/(n/((n**(-3/11)/n)/n)))/n)) assuming n is positive.
n**(-13759/1364)
Simplify (s/(s*s/s**(1/10)))/s**(-13/4)*s**(-33)/s**(1/30) assuming s is positive.
s**(-1841/60)
Simplify (m**(-7/8)/(m**(-1/3)/m))/(m**25*m**6) assuming m is positive.
m**(-733/24)
Simplify k*k**(-1/4)*k*k/(k*k/((k/k**(-2/7))/k))*k**(-5)/(k**(-1)/k) assuming k is positive.
k**(-55/28)
Simplify (((t/(t/t**(-6)))**(-13/4))**(1/67))**(-1/7) assuming t is positive.
t**(-39/938)
Simplify (((l**0/l*l)/l)**(-1/8)/(((l*((l/l**(1/6))/l*l)/l*l)/l)/l**(-1/3)))**(1/4) assuming l is positive.
l**(-25/96)
Simplify (d**(-2/53)*d*d*d**(-14))/(d**18/(d*d*d**(-20/9))) assuming d is positive.
d**(-14434/477)
Simplify (l**0)**(-33)/(l**(-6)*l/((l/((l*l**(-4))/l*l)*l)/l)) assuming l is positive.
l**9
Simplify d*d**(-2)*d*d**(-6/7)*(d/((d/(d/(d*d**(-21))))/d))/d**4 assuming d is positive.
d**(120/7)
Simplify j**(3/13)*j*j*j**18*j*(j*j*j**(-1/13)/j*j*j*j)/j*j/(j*j**0) assuming j is positive.
j**(314/13)
Simplify (z/z**(-1)*(z/(z*z**(2/7)/z*z))/z)/(z**(-11)/z)**30 assuming z is positive.
z**(2525/7)
Simplify ((r**(5/2)/r)/(r*r/(r*r/r**(1/9)*r)))/((r/(r*r**(21/4)))/r**20) assuming r is positive.
r**(995/36)
Simplify (i**(2/37)/(i/(i*i*i**7)))/((i*i**(-11))/i*i**(-1/4)) assuming i is positive.
i**(2857/148)
Simplify (o**8*o*o*o*o**(-5)*(o*o**(-1/3)*o*o)/o**(1/10))**(5/7) assuming o is positive.
o**(257/42)
Simplify ((l**14/l)/(l/l**(6/5)))/(l**(2/7)*l*l**(4/23)) assuming l is positive.
l**(9451/805)
Simplify ((d**1*d)/d**(-25))/(d**(-6)/d*d*d**(-15)) assuming d is positive.
d**48
Simplify (l*l/l**(2/11)*l)**(-1)*(l/l**5)/(l/l**(-2/9)) assuming l is positive.
l**(-796/99)
Simplify (c**(1/2)*c**(-3)/c*c*(c*(c**(-6)/c)/c*c)/(c/(c*c/c**5)))**(-12) assuming c is positive.
c**150
Simplify (z**14/(z**(3/34)*z))/(z**(8/5))**42 assuming z is positive.
z**(-9229/170)
Simplify w*w**(-1/11)*w*w*w/((w*w**(-9))/w)*w*w*w**(5/2)*w**9 assuming w is positive.
w**(581/22)
Simplify (b**8/(b*b*(b*b/(b**(-17)*b)*b)/b))/(b/((b**(3/11)*b)/b*b*b*b*b*b)*b**(-7)) assuming b is positive.
b**(-8/11)
Simplify n**7*n**14*(n/n**3*n*n)**(-37) assuming n is positive.
n**21
Simplify ((a/a**(2/35))**27)**(-2/5) assuming a is positive.
a**(-1782/175)
Simplify (l**(-24/11)*l**34*l)/(((l*l**(-2/9)*l*l*l*l*l)/l)/(l**(-3/10)*l*l)) assuming l is positive.
l**(29443/990)
Simplify ((c**(-12))**(-27/5))**7 assuming c is positive.
c**(2268/5)
Simplify (n*n*n**8*n)**36/((n*n**(-7/3))/(n/n**(-1/3))) assuming n is positive.
n**(1196/3)
Simplify u*u/u**(-3)*u*u**(-1/6)*(u*((u/(u*u**(-31)*u))/u*u)/u)/(((u*u**(4/7))/u)/u) assuming u is positive.
u**(1523/42)
Simplify (((n/(n/n**2))/n**(-6))**(-37))**(-2/15) assuming n is positive.
n**(592/15)
Simplify ((n**9*n)/(n/(n*n**3)))/(n/(n*n/n**(-2/7))*(n**(-5/6)/n)/n) assuming n is positive.
n**(719/42)
Simplify (b/(b/(b**3*b)*b))/(b*b**(-4)*b)*(b*b**0/b*b)/b*b**15 assuming b is positive.
b**20
Simplify ((((o*o*o**0*o)/o)**(-22/5))**21)**(-1/2) assuming o is positive.
o**(462/5)
Simplify j**(-1/3)*j*j**14*(j**2/j)/j*j*j**(1/3) assuming j is positive.
j**16
Simplify ((r**(-2/9)/r)/r)**(9/2)*(r*r*r**(-1/7)*r)/(r*r**13*r) assuming r is positive.
r**(-155/7)
Simplify (n/((n/(n*n**(1/2)))/n))**(-20)*(n*n*n**(-8/3))/n*n*(n*n**0*n)/n assuming n is positive.
n**(-149/3)
Simplify (l/(l**(-6)/l)*l**11)/(l**(3/5)/((l*(l/((l/l**(-6))/l))/l)/l)) assuming l is positive.
l**(62/5)
Simplify ((h**0/h)/h)**(-6/11)*h**(-7)*h*h**12 assuming h is positive.
h**(78/11)
Simplify ((x**(-19)/(x*x/(x/((x*(x*x*x**7*x)/x*x)/x))))**(-3/8))**(24/7) assuming x is positive.
x**(270/7)
Simplify (c*c/(c*c**(2/47)*c))/((c/(c/(c/(c/(c**6*c)))))/c)*c/(c**(-8)*c)*c**(-16)*c assuming c is positive.
c**(-613/47)
Simplify (k**(-8)/k)**(-5/3)/((k*k/(k/(k**(2/5)/k)*k))/k)**49 assuming k is positive.
k**(467/5)
Simplify (s**(-15)*s*s**(-11/3)*s)/((s*s/(s*s*(s*s*s**(-1/4)/s)/s*s*s)*s)/(s**(2/11)*s*s)) assuming s is positive.
s**(-1813/132)
Simplify (n**(-2)*n**5*(n*n/n**(-2/9))/((n/(n/(n/(n**(3/2)/n)))*n)/n*n))**16 assuming n is positive.
n**(536/9)
Simplify (d**(-2/29)/d)**(-37)/(d/(d**(1/15)/d))**12 assuming d is positive.
d**(2371/145)
Simplify s/((s*s*s**(1/13)*s)/s)*s**(-2)*s**(-13)*s/(s**(-13)/s) assuming s is positive.
s**(-14/13)
Simplify (g/((((g**(2/7)/g)/g)/g)/g))**32/((g/((g**3/g)/g))/g**(-4)) assuming g is positive.
g**(1028/7)
Simplify (z/((z*z**(-5)*z)/z))**0*z**2*z/z**11 assuming z is positive.
z**(-8)
Simplify (z/z**21)**(-50)*(z**6)**(-11) assuming z is positive.
z**934
Simplify (g/((g**(-5)/
|
{
"pile_set_name": "DM Mathematics"
}
|
/5 + 177. Which is the third smallest value? (a) l (b) -0.07 (c) t
a
Let r = 0.3 + 2.7. Let q = r + 2. What is the third smallest value in -3/4, q, 4/7?
q
Let l(h) = 3*h + 3*h - 5*h - 9 + 0*h. Let w be l(8). Let q = 2 + -6. Which is the second smallest value? (a) -2/9 (b) q (c) w
c
Let z = 12.8 - -0.2. Let d = z - 8. Let r = -3.5 + 4. Which is the third biggest value? (a) -0.5 (b) r (c) d
a
Let h = -5.7 - -0.7. Let b be (-322)/204 - (-3)/2. Let w = -10/17 + b. What is the third biggest value in h, 0.1, w?
h
Let h = -2 + 4. Let u = -5.16 - -0.16. Let y = u + h. What is the second smallest value in -5, y, 0.1?
y
Let l = 0 - 2. What is the smallest value in -5, -4/3, l?
-5
Let m = -0.1 + 1.1. Let n = -0.7 - 0.1. Let s = 0.3 + n. Which is the third smallest value? (a) m (b) s (c) 0.3
a
Let r = 1.4 - 0.4. Let d be (2/39)/((-1)/(-3)). Which is the second biggest value? (a) 3 (b) d (c) r
c
Suppose 0 = 4*s + 4, -2*v = s + 6 + 3. Let w be 1/v + 12/(-32). Let p = w - -3/4. Which is the third biggest value? (a) 6 (b) p (c) 1/2
b
Let i be 12/55 + 2/(-5). Let n = -5.9 - 4.6. Let y = n + 10. What is the smallest value in i, y, 0?
y
Let z = -0.042 + 0.622. Let d = z + 0.02. Let v = -0.5 + d. What is the third smallest value in -4, v, 0.4?
0.4
Let o = 10.34 - 6.3. Let q = o + -4. Let v = q + 0.06. What is the second biggest value in 1, 2, v?
1
Let p = -0.92 + -0.08. Let r = p + -2. What is the second biggest value in -1, -0.2, r?
-1
Let p = 6385/2 + -3313. Let g = p + 3137/26. Let i(k) = -k - 1. Let t be i(-1). Which is the third smallest value? (a) g (b) -7 (c) t
a
Suppose 4*g - 3*k - 9 = 0, 5*g + 5*k + 6 = -9. Suppose 0 = -g*p - p - 1. Which is the biggest value? (a) -4 (b) -0.5 (c) p
b
Let n = 14.4 + -12. Let z = -2.4 + n. Let k(g) = -5*g. Let p be k(-1). Which is the smallest value? (a) p (b) -0.3 (c) z
b
Let q = -4.2 - -4. Let y = -6 - -11. Which is the second smallest value? (a) y (b) q (c) 3/7
c
Let t = -0.09 + 4.09. What is the second smallest value in t, 3, 5?
t
Let i(z) = -z + 10. Let r be i(8). Let u be ((-28)/18)/r + 1. Which is the smallest value? (a) 4 (b) u (c) 0
c
Let u = 67 + -70. Which is the fourth biggest value? (a) -1/7 (b) -1/5 (c) 1.1 (d) u
d
Let o = -55 + 54. Let f = -3 - -6. Which is the second smallest value? (a) f (b) -1/6 (c) o
b
Let x be 189/39 - (-6)/39. Which is the third biggest value? (a) -4 (b) -4/7 (c) x
a
Let v = 1.01 - 0.01. Let i = 1 + v. What is the third biggest value in -5, i, -4?
-5
Let v = 1 - 0.8. Let q = -191 + 196. Which is the third biggest value? (a) q (b) v (c) -4
c
Suppose 2 = 2*j, -x = -0*j - 3*j - 4. Let s = x + -8. Let f = -67/438 + -1/73. Which is the second smallest value? (a) s (b) 2/15 (c) f
c
Let q be (-12)/(-18) - (-7)/(-15). What is the second smallest value in -0.4, q, 0.5?
q
Let k = 4 + 2. Let j be 15/k*(-4)/(-75). Let f = -1.308 - -2.008. Which is the second biggest value? (a) 3/7 (b) j (c) f
a
Let k(b) = b**3 + 4*b**2 - 4*b + 5. Let u be k(-5). Let w = -1.1 - -6.1. What is the second smallest value in u, 3/2, w?
3/2
Let k = -119/99 - -12/11. Let t = -0.248 - 0.052. What is the second smallest value in k, t, 3/4?
k
Let q be (-25)/(-15)*(2 - -1). Suppose -1 = 4*v - q*v. Suppose -4*y = -2*w + w - 18, 3*y = w + 14. What is the biggest value in -5, v, y?
y
Let n be 0 - 1 - (-1)/(-1). Let q be ((4/(-3))/n)/(-4). What is the third biggest value in q, 0.5, -0.1?
q
Let x = 7/4 - 57/28. Let h = 49 + -54. What is the third smallest value in x, 0, h?
0
Suppose 4*u - 3*q - 5 = 0, 5*u + 20 = -5*q - 0*q. Let y = 3.5 - 3.1. Let o = -6 - -5.8. Which is the third biggest value? (a) u (b) y (c) o
a
Let v = 11.7 - 0.7. Let c = -22 + v. What is the third smallest value in 4, 3, c?
4
Let z be ((-1)/(-6))/((-3)/(-6)). Let y be (4/45)/(30/9). Let k = 83/300 - y. What is the second biggest value in k, z, -2/7?
k
Let l be 1*(-2 - (-153)/(-6)). Let d = 26 + l. Which is the third smallest value? (a) 1 (b) d (c) -0.5
a
Let t be 0/11*(-2)/(-6). Which is the biggest value? (a) -0.5 (b) 10 (c) t
b
Let x = 2 - 1. Let h = 14/15 + -1/3. What is the third biggest value in 4, h, x?
h
Let g = 30 - 30. Which is the third biggest value? (a) g (b) 0.1 (c) -4
c
Suppose m = 5*a + 19, m - 4 = a + 3. Let k(d) = -d**2 + 7*d - 3. Let t be k(6). Suppose 1 = -t*j - 2. What is the third biggest value in 5, a, j?
a
Let d = 0.04 + 0.26. What is the smallest value in -1/3, d, 3?
-1/3
Let i = -1.1 + 0.1. Let u = 4 - i. Which is the third biggest value? (a) -0.3 (b) u (c) -4
c
Let y = -14 + 13.8. What is the second smallest value in 5, 2, y?
2
Let t = 58 + -57.7. Let f = 2.03 + -0.03. What is the second smallest value in f, t, 2/11?
t
Let i = 2.945 + 0.055. Suppose -4*r + 2*m + 10 = 0, 4*r - 3*m = m + 16. Let y be r/(-4)*4/3. Which is the second biggest value? (a) -1 (b) i (c) y
c
Let u = -5 + 8. Let z = 29.2 - 32. Let g = z + u. What is the third biggest value in g, 0, 0.1?
0
Let p be (-64)/(-48)*(-2)/(-4). Let m = -1 + 0. Which is the third smallest value? (a) -8 (b) p (c) m
b
Let n = -4/13 - -62/117. Let i = -354635/1407 - 1282/201. Let f = i - -258. Which is the third biggest value? (a) f (b) -2/3 (c) n
b
Let j = -0.25 + 0.3. Let f = 48.05 - 47. Let h = j - f. Which is the third smallest value? (a) h (b) 5 (c) -1/2
b
Let p be (-69)/(-18) + -2 + -2. Let x = -0.3 + 1.3. Let h = 0.8 - x. What is the second smallest value in h, p, -0.4?
h
Let w = 2.8 + -3. Suppose 71 + 1 = -4*z. Let f be (-34)/(-28) + z/(-63). Which is the second smallest value? (a) f (b) -0.4 (c) w
c
Let k be 626/5502*(0 + -5). Let j = -1/393 + k. What is the third smallest value in -5, j, 0?
0
Let y = 2 + -8. Let q = 5 + y. What is the second smallest value in 0, q, -4?
q
Let u be (-12)/8 + (-93)/(-66). What is the third biggest value in -5, u, 5/2?
-5
Suppose -4*a + 19 = -41. Suppose 0*l = 3*l - a. Let j be (9/(-27))/((-1)/(-6)). What is the third biggest value in j, -1/3, l?
j
Let l = -85.9 - -87. Which is the biggest value? (a) l (b) -3/4 (c) -1/8 (d) 0
a
Let t = -0.059 + -0.441. Which is the third biggest value? (a) t (b) 5 (c) 11
a
Suppose 6 = 2*o - 4*o. Let w be 2/(-9)*(-1)/o. What is the second biggest value in -1/3, w, 5?
w
Suppose -3*x + 12*x - 9 = 0. What is the fourth biggest value in x, -3, 4, 5?
-3
Let z = 1 - -4. Let v = -0.05 + 0.35. What is the smallest value in v, -1, z?
-1
Let r be 2/8 + 4378/(-9576). Let w = -2/133 + r. Let m = 1.93 - -3.07. Which is the second biggest value? (a) -4 (b) w (c) m
b
Let v(z) = z - 2. Let h be v(2). Let r be 12 + 2/6*h. Suppose r = -2*t + 4*j, 6 = -0*t - 2*t - 2*j. What is the smallest value in t, 0.5, 1/7?
t
Let m be 0 + (3 + -3)/2. Suppose -9 = r - 4. What is the biggest value in m, r, 1?
1
Let d = 17 - 12. What is the second smallest value in -0.2, 0.4, d?
0.4
Let s = -0.6 - 3.9. Let u = 1.5 - 1. Let j = s + u. Which is the second biggest value? (a) -2 (b) 0 (c) j
a
Let l = -20 + 19.95. What is the biggest value in -0.4, l, 2/7?
2/7
Let t = -2/178038899 + 1090310239850/1991721163113. Let r = -2/1017 + t. What is the second smallest value in 3/2, 2/3, r?
2/3
Let f(p) = p - 9. Let h be f(13). Let y = 9/2 - h. What is the second smallest value in 4, -1, y?
y
Let l = -9 + 9. Let p = -5 - l. Let i be (-2 - -1 - -1) + p. Which is the third smallest value? (a) i (b) -3 (c) -0.03
c
Let g = 1.4 + -3.4. What is the biggest value in -7, g, 1/7?
1/7
Let m = 7.7 - 4.7. Which is the smallest value? (a) -7 (b) m (c) 2 (d) -2/9
a
Let m(o) = -o**2 - 8*o - 10. Let i be m(-7). Let h = i - -8. Which is the second biggest value? (a) 0.1 (b) h (c) 2/5
c
Let o = 4.97 + 0.03. Let k = -0.25 + -0.25. What is the third smallest value in k, 1/3, o?
o
Let z = -15.79 - 1.21. Which is the biggest value? (a) z (b) -1 (c) -2/11
c
Let y = -0.7 + -0.3. What is the smallest value in 4/3, y, 2?
y
Let t = -61 + 58.8. What is the second biggest value in t, -0.3, 0.5?
-0.3
Let p(l) = 2*l**2 + 28*l - 22. Let t be p(-15). Let h(k) = -k. Let f be h(2). Which is the smallest value? (a) t (b) 4 (c) f
c
Suppose -3*h = 2*h - 15. Suppose 2*d - y - 12 = -0*y, y = -h*d + 28. Which is the third smallest value? (a) 0.5 (b) -1/6 (c) d
c
Let k(z) = z**2 + 30*z - 33.
|
{
"pile_set_name": "DM Mathematics"
}
|
g**2 - 2*g. Let u be d(3). Sort u, r, a in ascending order.
r, a, u
Let u = 1.1 + -0.8. Let v = 94 + -95. Sort v, u, 0 in ascending order.
v, 0, u
Let s be 4 + (4 - 9/3). Sort s, -5, 2 in decreasing order.
s, 2, -5
Let f = -2 - 3. Let p = 2 - 3. Suppose 1 = 3*g + 10. Put p, g, f in ascending order.
f, g, p
Let r = 21/2 - 12. Let q = 430278 + -535695104/1245. Let b = 2/249 - q. Sort 5, b, r in ascending order.
r, b, 5
Let n(d) = d + 8. Let u be n(-6). Let g(a) = -2*a - 27. Let v be g(-15). Put u, v, -4 in increasing order.
-4, u, v
Let k = 4.9 - 5. Let a be 105/12 - 1/(-4). Let c be 1 + a/8 - 2. Put k, 2/21, c in decreasing order.
c, 2/21, k
Suppose 5*t - 1 = -11. Sort -4, t, 4.
-4, t, 4
Let r be (-8)/(-4)*(-19)/2. Let v = r - -37/2. Let s = -1.7 + 0.7. Put v, s, -0.06 in descending order.
-0.06, v, s
Let w(a) = -a**2 + 8*a - 10. Let t be w(7). Sort 4, -33, t in increasing order.
-33, t, 4
Let q be (0 - -2) + -2 - -5. Suppose 5*z = q*h, z + 0*h = 2*h. Suppose -2*g - 3*g - 12 = 3*s, 5*s = -2*g - 20. Sort s, z, -2 in increasing order.
s, -2, z
Let l = 71 + -75. Suppose 4*z + 2 = 10, -7 = -3*o + z. Suppose o*b + 0 = 2*a + 9, -2*b - 5*a = -6. Put 1, l, b in decreasing order.
b, 1, l
Suppose 5*q = 3*q - 8. Put q, 1, 2 in ascending order.
q, 1, 2
Let c be ((-1)/(-2))/((-13)/78). Let h = -3 - 3. Sort h, 5, c in increasing order.
h, c, 5
Let z = 38 - 48. Put -3, z, 2 in decreasing order.
2, -3, z
Suppose -6*z = 16 + 14. Sort -3, 1, -1, z.
z, -3, -1, 1
Let u(m) = 2*m**3 - m**2 - m - 1. Let o be u(-1). Suppose -6 = -2*v, 3*p - v = v. Suppose 10 = 3*h - p. Sort 2, h, o.
o, 2, h
Let q be (-38)/(-12) + (-18)/12. Sort -3, q, -15 in descending order.
q, -3, -15
Let k be 0 - (-4)/((-32)/(-12)). Let u = 920 + -915.09. Let v = u + 0.09. Put 1, v, k in descending order.
v, k, 1
Let c be (-5)/1*(-2)/(-2). Suppose 19 - 3 = 2*j. Let b = j - 87/11. Sort b, 2, c.
c, b, 2
Let m be -4*(-1)/(-2) - -4. Let j be (5/(-1))/(-1) - 0. Put 3, m, j in ascending order.
m, 3, j
Let a be 0/((-3)/(12/(-8))). Put -5, a, 2 in decreasing order.
2, a, -5
Let d = -91.2 + 91. Let z = 3 - -1. Sort z, 3, d in increasing order.
d, 3, z
Let g be (5/30)/(6/(-8000)). Let o = 222 + g. Sort -0.2, -1/2, o in decreasing order.
-0.2, o, -1/2
Let d = -0.4 + 0.8. Let u = -0.2 - 0.8. Let n = 0.6 + u. Sort d, n, 1 in decreasing order.
1, d, n
Let f = -2.3 - -0.3. Suppose -3*x = -3*h + 3, -x - 7 = -2*h + 2*x. Let i be (3/(-2))/(2/h). Sort f, 2, i in ascending order.
f, 2, i
Suppose 0 = -0*z - 7*z. Let t be 1/(-2*2/(-8)). Sort z, t, -2 in ascending order.
-2, z, t
Let i = 20.9 - 20. Let t be ((-6)/30)/(1/(-3)). Put i, -0.1, t in ascending order.
-0.1, t, i
Let l(t) = t**3 - 21*t**2 - 21*t - 26. Let f be l(22). Put -5, f, -3, 0 in increasing order.
-5, f, -3, 0
Let t be -1 - (-1 - (-6)/(-14)). Let z = -10 - -6. Let s = 13 + -8. Put s, z, t in decreasing order.
s, t, z
Suppose -7*v = -2*v + 3*f + 4, -5*f = -v - 12. Put 1/12, v, 1/7 in increasing order.
v, 1/12, 1/7
Let p(a) = -a**2 - 6*a - 2. Let g be p(-5). Sort -5, 4, g, -3/7 in descending order.
4, g, -3/7, -5
Suppose m - 5*m + 1 = -5*f, 2*m = 5*f - 7. Let i(j) = 2*j**2 - 7*j + 6. Let x be i(4). Let h be (-1*1)/(2/x). Put m, -1, h in ascending order.
h, -1, m
Let u(f) = -2*f + 18. Let y be u(9). Let a = 8 - 13. Put 0.5, a, y in decreasing order.
0.5, y, a
Let k be (-21)/117 + 2/(-13). Let s = 0.16 - -0.04. Let o = 0.03 + 0.27. Sort k, o, s in decreasing order.
o, s, k
Let d be 12/(-28) - 1/42*10. Put 0.2, d, -0.2, 0.4 in decreasing order.
0.4, 0.2, -0.2, d
Let x = 0.4 + -0.6. Suppose 2*d = 2*o, -5*d + 3*d = 4*o + 12. Let u be 4*o*1/6. Put u, 4, x in decreasing order.
4, x, u
Let y = -11 - -8. Let n = 228.9 - 229. Sort n, y, -4.
-4, y, n
Let v = 0.05 + -5.05. Put 0, v, -1 in ascending order.
v, -1, 0
Let t(m) be the second derivative of m**3/6 - m**2/2 - 5*m. Let r be t(-4). Put r, 2, -3 in ascending order.
r, -3, 2
Let s be (-27)/(-6)*(-2)/(-3). Suppose -s*f = -8*f + 10. Sort 1, f, -1.
-1, 1, f
Let c = -18 - -4. Let l = -24 - c. Put -2, 5, l in increasing order.
l, -2, 5
Let k = -7 - -3. Let i be (4/(-5))/(k/10). Let s(w) = 4*w. Let h be s(-1). Put 4, h, i in descending order.
4, i, h
Let k = -40 + 20. Let s = -54 - k. Let a be s/(-35) + 8/(-20). Sort -0.5, 2/23, a.
-0.5, 2/23, a
Let n(i) = -i**3 - 8*i**2 + i + 9. Let s be n(-8). Put 4, s, 0 in decreasing order.
4, s, 0
Let w = -1.4 + 1. Let f be 1/21 + (-10)/(-35). Sort w, f, -2/3 in decreasing order.
f, w, -2/3
Let m be 1/(-3) + 33/(-9). Suppose 5*x + 7 = -8. Let g(v) = 2*v - 6. Let z be g(4). Put z, m, x in increasing order.
m, x, z
Let a = 4 - 2. Let r be 2/(-3) + (-6)/((-54)/(-21)). Sort 3, r, a in ascending order.
r, a, 3
Suppose -d + b - 2*b = -2, 1 = 2*d + 5*b. Sort -4, 2, d in ascending order.
-4, 2, d
Suppose 0 = -2*t + 2 - 0. Let h = -3 + 6. Suppose h*q = 1 - 13. Put t, q, -1 in decreasing order.
t, -1, q
Let w be (-3)/27 + -2 - -2. Suppose -4*n + 13 = 1. Sort 4/3, w, n in ascending order.
w, 4/3, n
Let c = 4 + -2. Sort c, 9, 3 in ascending order.
c, 3, 9
Let o = 62.2 - 74. Let c = 12 + o. Put -1/2, c, 0.06 in decreasing order.
c, 0.06, -1/2
Suppose 3*o - 2*o = 3. Put o, 0, 4 in descending order.
4, o, 0
Let i = -1 + 3. Let o(w) = -w + 7. Let v be o(10). Sort v, i, 0 in descending order.
i, 0, v
Suppose -2*f = 3*i - 92, i - 125 = -3*i - 5*f. Let c be ((-4)/12)/((-2)/i). Put c, -4, -2 in ascending order.
-4, -2, c
Suppose 2*k + 28 = v + 10, -5*v + 4*k + 60 = 0. Put 5, 4, v in decreasing order.
v, 5, 4
Let s be ((-2)/8)/((-2)/8). Suppose t = -c - 4*c + 35, 2*c + 3*t - s = 0. Let j be (3/4)/((-2)/c). Put 2, j, -2 in decreasing order.
2, -2, j
Suppose w = -4*w + 15. Let d = -1.9 + 1.6. Sort 2, w, d in decreasing order.
w, 2, d
Suppose 3*r = 5*j - 1, 5*r - 2*j - 11 = -0*r. Suppose -4*m + r = -3*m. Suppose m*f = 4*f. Sort f, 1, 4.
f, 1, 4
Let b be 3/10*(0 - 2). Let v be 36/27 - 20/6. Let x = -0.6 - -0.1. Sort b, x, v in descending order.
x, b, v
Let z = 0.43 + -0.47. Put z, -5, -4, -3 in ascending order.
-5, -4, -3, z
Let j be 6*2/(-8)*-2. Suppose -g + 6 = -7*g. Put g, j, 2 in descending order.
j, 2, g
Let o = -20/3 + 226/33. Sort o, -0.2, 3 in increasing order.
-0.2, o, 3
Suppose 3*x + 0 - 1 = d, 2*x - 4*d = 14. Suppose 0 = 45*l - 34*l - 209. Put 5, l, x in ascending order.
x, 5, l
Let x(w) = 5*w + 15. Let r be x(-4). Put r, 2, -4, 0 in descending order.
2, 0, -4, r
Let g = 1 + -1.6. Let w = 17.4 + -18. Let q = w - g. Put q, -4, -5 in descending order.
q, -4, -5
Let c = -0.72 - -0.32. Let f = -3.7 - -4. Put f, -6, c in ascending order.
-6, c, f
Let b = -10.22 - -7.2. Let j = 1.02 + -1. Let i = b + j. Sort i, 5, -0.2.
i, -0.2, 5
Let r = 3.5 + 0.5. Suppose -5*c + 13 + 2 = 0, -5*c = -q - 8. Let p = q + -2. Sort p, r, 1 in decreasing order.
p, r, 1
Let x = 9 - 14. Let b = 0.54 - 0.34. Put b, x, 0 in descending order.
b, 0, x
Suppose 2*k + 5*p + 18 = 53, -3*k + 58 = 2*p. Suppose -h - k = -5*h. Sort 1, h, 0 in decreasing order.
h, 1, 0
Suppose -18*c - 3 = -15*c. Put 1, 2, 4, c in increasing order.
c, 1, 2, 4
Suppose 2 = 2*b - 4. Suppose -4*c + 1 = -15. Sort b, 0, c in increasing order.
0, b, c
Let q = 2/38691 - -296519/2166696. Let j = -1/24 + q. Let r = 0.61 - 0.11. Put j, -5, r in increasing order.
-5, j, r
Let v = -15.1 + 0.1. Let p = 10 + v. Put p, 3/4, 4/5 in ascending order.
p, 3/4, 4/5
Let u(v) = v - 10. Let j be u(6). Put j, 4, -1, -2 in decreasing order.
4, -1, -2, j
Let v = 0.5 - -0.5. Let r = v - -3. Sort 0.2, r, -1/11 in descending order.
r, 0.2, -1/11
Let m = -7 + 10. Let s = -7 + m. Let k = -26 + 21. Sort 2, s, k in ascending order.
k, s, 2
Let u = 3 + -5. Let i be (-4 - -2 - u) + -3. Let s = i - -2. Sort 4, s, -2/9 in decreasing order.
4, -2/9, s
Let n = 27 - 12. Let l be 1/(-10)*(-25)/n. Let m(d) = -d**2 - 3*d. Let q be m(-4). Sort l, 2, q.
q, l, 2
Let p be (-8 + -1)/(1 - 0). Put p, 5, 3 in descending order.
5, 3, p
Let k = 5 - 10. Let d be ((-8)/180)/(1/k). Put d, 0, -2 in ascending order.
-2, 0, d
Suppose -2*o = -0*o - 2. Let w be (-4)/(-14) + 6/(-21). Suppose i + o = -w. Sort 0, -3, i in ascending order.
-3, i, 0
Let x be 8/(2 + -3 - -2). Let f = x + -6. Suppose -4*u = p + 2*p + 35, 0 = -u - 5. Sort -4, p, f in descending order.
f, -4, p
Let t(c) = -c**3 - 6*c**2 - c - 3. Suppose
|
{
"pile_set_name": "DM Mathematics"
}
|
9*j**2*z + 393*z**2 + z + 2 with respect to j.
456*j**3*z**2 - 238*j*z
What is the second derivative of 791257*j**2 + 539191*j?
1582514
What is the second derivative of -v**4 - 4379*v**2 + 69356*v?
-12*v**2 - 8758
What is the third derivative of -108914*m**3*n + 2*m**2*n + 3*m*n + 2*m - 2630 wrt m?
-653484*n
What is the first derivative of 14*a*f**2 - 7*a*f + 19*a + 39946*f**2 wrt a?
14*f**2 - 7*f + 19
What is the second derivative of -998*l**3*p**3*x - 314*l**3*x**2 + 2*l**3*x + 42*l*p**3*x + 2*l + 243*p**3*x**2 wrt x?
-628*l**3 + 486*p**3
What is the third derivative of -238781*y**4 - 5929*y**2 + y - 9 wrt y?
-5730744*y
What is the second derivative of 753*m**3*v**2 - 151826*m**3 - 14*m**2*v**2 + 3*m*v**2 + 2*v**2 - v wrt v?
1506*m**3 - 28*m**2 + 6*m + 4
Find the third derivative of -1826*j**4 + 8*j**3 - 4*j**2 + 27903*j.
-43824*j + 48
What is the second derivative of -15*d**2*p**3 - 27407*d**2*p - 3*d*p**3 - 2*d*p**2 + 9481*d - 3*p**3 - 1 wrt d?
-30*p**3 - 54814*p
What is the derivative of -2*d**2*h + 1735*d**2 + 10*d*h + 2*d - 272587*h wrt d?
-4*d*h + 3470*d + 10*h + 2
What is the second derivative of 2694917*s**2 + 28016*s + 5?
5389834
Find the second derivative of -92572*g**5 - 61*g - 1178 wrt g.
-1851440*g**3
Differentiate -5393*t**2 - 14190 wrt t.
-10786*t
What is the derivative of -179*z**2 + 107*z - 29704?
-358*z + 107
Find the second derivative of 2302*p**2*r*u + 4*p**2*r + p**2*u + 2*p**2 + 48*p*r + 303*p - 3*r*u wrt p.
4604*r*u + 8*r + 2*u + 4
Differentiate 2*a*n**3*r + a*n**2 - 2*a*r + 852*a + n**3*r - 4*n**3 - 40*n**2 + 14*n*r with respect to a.
2*n**3*r + n**2 - 2*r + 852
What is the second derivative of 3966392*c*g**2 + 1021*c*g + 132*g wrt g?
7932784*c
What is the third derivative of -10239*a**5 - 386514*a**2 wrt a?
-614340*a**2
Find the second derivative of -17726*i**4 - 142315*i.
-212712*i**2
Find the second derivative of -7*b**5 + 107754*b**2 - 472794*b wrt b.
-140*b**3 + 215508
What is the derivative of -378958*h**2 + 498442 wrt h?
-757916*h
What is the third derivative of 7574*v**6 + 6*v**5 + 71*v**2 - 147?
908880*v**3 + 360*v**2
What is the first derivative of 3*v**4 + 3*v**3 - 417*v + 117?
12*v**3 + 9*v**2 - 417
What is the third derivative of j**3*y - 206416*j**3 - 8*j**2*y - 37*j*y - 15 wrt j?
6*y - 1238496
Find the third derivative of h**2*t**3 + 15*h**2 - 2*h*t**2 + 18*h*t + 50*t**5 + 513*t**3 wrt t.
6*h**2 + 3000*t**2 + 3078
What is the first derivative of 5*k*q**2 + 3205522*k - q**2 + 8567*q wrt q?
10*k*q - 2*q + 8567
Differentiate -5*a*h**2 - 22986*a*h*k**3 - 2*h**2 - 191119*h*k**3 with respect to a.
-5*h**2 - 22986*h*k**3
What is the third derivative of 5*b**4*c + 3*b**3*c**2 - 548*b**3*c - 11813*b**2*c**2 wrt b?
120*b*c + 18*c**2 - 3288*c
What is the third derivative of 2*g**2*p**3 + 2*g**2 + 855*g*i**3*p**3 + 112*g*i**3*p**2 - 2*g*i**2*p**2 + g*p**4 + 48*i*p wrt p?
12*g**2 + 5130*g*i**3 + 24*g*p
Find the third derivative of -22867*b*o**3 + 2*b*o**2 - 2*b*o - 2224*b + 12*o**3 + 61*o wrt o.
-137202*b + 72
What is the derivative of 5*t**3 - 7*t**2 + 1967*t + 179169 wrt t?
15*t**2 - 14*t + 1967
What is the third derivative of 222*m**2*q**5 + 84*m**2*q**2 - 5*m**2 + 58*m*q**2 + 1333*q**6 + q wrt q?
13320*m**2*q**2 + 159960*q**3
What is the second derivative of -163485*b**2 + 50005*b - 1 wrt b?
-326970
What is the second derivative of -1674*v**3*w**2*x**3 - 278*v**3*w**2*x - 2*v**3*w*x**2 - 2122*v*w*x**3 - 2*v*w*x**2 + 48 wrt w?
-3348*v**3*x**3 - 556*v**3*x
What is the second derivative of -350446*a**3 - 843499*a wrt a?
-2102676*a
What is the second derivative of -17*b**4 - 154*b**3 + 17*b + 650 wrt b?
-204*b**2 - 924*b
Differentiate 133*f**3 - 149*f + 43127 wrt f.
399*f**2 - 149
Differentiate 1670*g**3*u + 3*g**2*y + g - 493*u*y - 46*u wrt g.
5010*g**2*u + 6*g*y + 1
Find the third derivative of -225687*s**5 + 2*s**3 - 2*s**2 + 834408 wrt s.
-13541220*s**2 + 12
What is the second derivative of -85*d**2*f**3*y**2 + d**2*f**3 + 9*d**2*y + 84*f**3*y**2 - 190*f**3*y wrt y?
-170*d**2*f**3 + 168*f**3
What is the third derivative of -423211*m**3 - 217540*m**2?
-2539266
Differentiate -80*j**4 + j**3 - 26*j**2 + j + 530472.
-320*j**3 + 3*j**2 - 52*j + 1
Find the third derivative of -72*l**6 + 846*l**5 + 77*l**2 + 2*l - 5045 wrt l.
-8640*l**3 + 50760*l**2
Find the second derivative of 264485*p**5 + 975877*p wrt p.
5289700*p**3
Find the first derivative of -703*o**4 - 132*o**2*x**3 - 128019*x**3 - 2 wrt o.
-2812*o**3 - 264*o*x**3
What is the second derivative of 28041*m**4 + 7059*m wrt m?
336492*m**2
Find the third derivative of 69969*v**3 + 480766*v**2 - 2*v wrt v.
419814
What is the third derivative of 9554*g**3 + 4061*g**2 + 5*g + 3?
57324
What is the second derivative of 148431*h**2*k**2*r + 2*h**2*k*r**2 - 29*h*k + h + 2*k**2*r + 872*k**2 + 2*r**2 wrt h?
296862*k**2*r + 4*k*r**2
Find the second derivative of 261077*k**2 + 3*k - 12846 wrt k.
522154
Find the second derivative of -6*r**5 - 85*r**4 - 5*r**3 - 585*r - 227.
-120*r**3 - 1020*r**2 - 30*r
Differentiate 1457084*k**2 + 225384 with respect to k.
2914168*k
Find the second derivative of -1203566*h**5 + 440970*h wrt h.
-24071320*h**3
Find the third derivative of 106*l**5 - 35*l**4 - 2*l**3 - 538749*l**2 wrt l.
6360*l**2 - 840*l - 12
What is the derivative of 27110*j**3 - 66*j**2*u**2 - 43288*u**2 + 4 wrt j?
81330*j**2 - 132*j*u**2
What is the second derivative of i**2*p**3 - i**2*p - 35*i**2 - 33240*i*p**3 - 2*p**3 + 2*p + 2 wrt p?
6*i**2*p - 199440*i*p - 12*p
Find the second derivative of 3*r**3*t - 15*r**3 + r**2*t + 896*r**2 + r*t - 15*r + t + 1357 wrt r.
18*r*t - 90*r + 2*t + 1792
What is the second derivative of -242412*p**2 + 843690*p?
-484824
What is the third derivative of -161*h**3*m**3*z + 2210*h**3*z**2 + 38507*h**2*m**3*z + 2*h*m**2*z**2 + 2*m**3 wrt h?
-966*m**3*z + 13260*z**2
Find the third derivative of 57*c**3*r**2*z - 595*c**3*r**2 - c**3*r + c**2*r**2 - 273*c**2 + c*r*z + 2*r**2*z wrt c.
342*r**2*z - 3570*r**2 - 6*r
What is the third derivative of -231629*n**4 - 18*n**2 + 620*n + 18 wrt n?
-5559096*n
Find the first derivative of 5*r**4 - 3268*r**3 - 72666.
20*r**3 - 9804*r**2
What is the first derivative of 8317*w**3 - 3*w**2 - w - 361146?
24951*w**2 - 6*w - 1
Find the third derivative of 47647*u**3 - u**2 + 136*u + 635.
285882
What is the first derivative of 6*d**3*g**2 - 697*d**3*g*o + 2*d**3*g - 164*d**3 + 107*d*g**2*o - 2*g wrt o?
-697*d**3*g + 107*d*g**2
Find the second derivative of 38845*s**5 + 18881*s wrt s.
776900*s**3
What is the derivative of -7*c**4 + 5382*c - 555731?
-28*c**3 + 5382
Find the third derivative of 5*c**6 + 4848*c**4 - 7*c**3 - 5223*c**2 - c - 1.
600*c**3 + 116352*c - 42
Find the second derivative of -20*d*o**5 - 65026*d*o**2 + 33*d*o + 225*d + 2*o + 8 wrt o.
-400*d*o**3 - 130052*d
What is the derivative of 122295*j - 9268?
122295
What is the third derivative of 50*y**4 - 1328*y**3 + 14*y**2 - 5723*y wrt y?
1200*y - 7968
Differentiate 144*k*n*z + 2*k*n - 52*k*z + 13*k - 110*n*z - 2*n + z + 31 wrt k.
144*n*z + 2*n - 52*z + 13
What is the second derivative of -4150874*h**4 - 2006523*h?
-49810488*h**2
Differentiate 134143*i*p*s - 26*i*p - 6*i*s + 13*i + 2265 wrt p.
134143*i*s - 26*i
Differentiate -10234*q**2*y + 2*q**2 + 9192*q - 3*y - 4 with respect to y.
-10234*q**2 - 3
Find the third derivative of 127*b**3*q**3 - 3*b**3*q**2 + 8*b**2 - 5150*b*q**3 + 2*b*q**2 + 4405*b wrt q.
762*b**3 - 30900*b
Differentiate 2*d**2*x**2 - 204839*d**2 - 44733*d*x**2 wrt x.
4*d**2*x - 89466*d*x
What is the derivative of -550544*r**4 - 220294 wrt r?
-2202176*r**3
Find the first derivative of 2266*i**3*j**3 - 2*i**3 + 20*j**3 + 1778 wrt j.
6798*i**3*j**2 + 60*j**2
What is the second derivative of -93*o**2*q + 326*o**2 + 57097*o*q wrt o?
-186*q + 652
What is the second derivative of 3462*s**5 - 11*s**4 - 73040*s wrt s?
69240*s**3 - 132*s**2
Find the second derivative of 7*c**2*t**3 - 2*c**2*t - 1101*c**2 + 4629*c*t**3 + 6*c - t**2 - 2*t wrt t.
42*c**2*t + 27774*c*t - 2
Find the third derivative of 171*r**6 - 11346*r**5 + r**3 + 6*r**2 - 24*r + 692.
20520*r**3 - 680760*r**2 + 6
Differentiate -10*i*o**3 - 20*i*o**2 - 4*i*o - 10*i + 3397432*o**3 with respect to i.
-10*o**3 - 20*o**2 - 4*o - 10
What is the second derivative of l**4 - l**3 + 122841*
|
{
"pile_set_name": "DM Mathematics"
}
|
-1)))/t)/(t/(t**11*t)))**(-8/9) assuming t is positive.
t**(3164/391)
Simplify ((h**(1/2)*h)**(-39)/((h*h/((h/((h**(2/17)/h*h)/h))/h))/(h*h*h/(h*(h/h**(7/6))/h)*h)))**(-5/2) assuming h is positive.
h**(7070/51)
Simplify ((((q/(q**(-6)*q)*q)/q)/q**(-1/4)*((q**8*q)/q)/(q/q**(-5/3)))**(-44))**(4/5) assuming q is positive.
q**(-6116/15)
Simplify ((j**(-3/5)/j)/(j*j/((j**(-2/9)/j*j)/j)*j)*(j/(j*j/(((j/(j/((j*j**(-27))/j)))/j)/j*j)))/(j/(j/j**37)))**(-2/31) assuming j is positive.
j**(6464/1395)
Simplify (d**(-4/5)*d*d**(-1/3))**(-1/2)*(d**(-5)/(d*d**(-4)))**(-9/2) assuming d is positive.
d**(136/15)
Simplify ((n**7/n)/n**(1/5)*(n/(n*n/(n/(n**(3/5)*n))))/(n**(2/13)/n))**(6/11) assuming n is positive.
n**(1968/715)
Simplify (h**(-2/13)/h**1)/(h**(4/3)*((h*h*h*h**(-2))/h)/h)*h**3/(h**(-1/4)/h)*h**(-1/4)*h*h**(2/3)*h assuming h is positive.
h**(202/39)
Simplify ((((j**13*j*j)/j)/((j*j*j**(-1/8)*j)/j))/(j**6*j**4))**(9/2) assuming j is positive.
j**(153/16)
Simplify (i*i**0)**(5/12)/(i**(1/12)/(i**(-7)/i))*(i**(2/13)/((i*i**(-5))/i))**(2/61) assuming i is positive.
i**(-17837/2379)
Simplify (((p/(p*p**(-8/5))*p)/((p**(-1/13)/p)/p))**(-20))**(2/105) assuming p is positive.
p**(-2432/1365)
Simplify (((a**(1/3))**13*(a/(a*a**(-2/9)*a)*a)**(-31))**(-1/53))**(-29) assuming a is positive.
a**(-667/477)
Simplify (c**(-6/11)/((c/(c*c**(-1/3)*c))/c))**(-2/77)*((c/(c*((c*c**(1/3))/c)/c*c)*c)/(c*c**(-2/3)))**(2/9) assuming c is positive.
c**(1028/22869)
Simplify (s/s**(1/4)*s**(-5)*s**(-2/13)*s**(-2/3))/(s**0*s**(1/7)*s)**(-3/17) assuming s is positive.
s**(-90385/18564)
Simplify ((r/(r**(2/7)/r)*r/(r*r*r/((((r**(-2/31)/r)/r)/r)/r*r)*r))/(r*(r/r**9)/r*r**(-2/35)))**(-7) assuming r is positive.
r**(-4022/155)
Simplify ((u**(-5))**(2/5)*u**(-1/5)*u**(5/6))**(-5) assuming u is positive.
u**(41/6)
Simplify ((n**(3/4)*n)/(n*n/(n*n**(-2/35))))**(-7)*(n**(-5/2)*n*n/(n/(n*n*n/(n*n**(-5)))))/(n/(n**(-1/4)*n*n))**(1/56) assuming n is positive.
n**(743/1120)
Simplify ((s**2)**(2/3)*s**(-7)/((s/(s*s**(-1/9)*s))/s))/(s**0*s**1*(s**(-2))**(-3)) assuming s is positive.
s**(-97/9)
Simplify (g**(-1))**(-30)*(g/(g/g**0))**(-1/13)*g/g**(-2/9)*g/(((g*g**(-4))/g)/g)*g*g**2*g*g/(g/((g*g**6/g*g)/g))*g assuming g is positive.
g**(434/9)
Simplify i**(-5)*i**3/i*i**(2/5)/(i**(1/3)*i)*(i**0/i*i*i**(-2))/(i*i**2*i**(-3)/i) assuming i is positive.
i**(-74/15)
Simplify ((m*m/m**6*m/m**(-3)*(m/(m**(-2)/m))**(-30))**46)**(-1/50) assuming m is positive.
m**(552/5)
Simplify (o**(-6)*o*o)/o**4*o/o**3*o*o/((o**(-2/19)*o)/o)*((o**(2/7))**(-1/8))**(2/13) assuming o is positive.
o**(-27319/3458)
Simplify d*((d*((d/d**(-7))/d)/d*d)/d)/d*d**(2/17)*d*d/d**3*d**(1/4)*((d/((d/d**(-2))/d))/d*d*d**(1/3)/d)/(d**6/(d/(d*d**(-1/8)))) assuming d is positive.
d**(-479/408)
Simplify (m**(2/5)*m**(-6))**(1/32)*(m/(m/(m*m**(-1/2)*m)))**(-15)*m*m**(1/9)/m*(m**(-1/3)*m)/m assuming m is positive.
m**(-8243/360)
Simplify ((c/c**16)/(c*c/(c**(-15)*c)))**(-4/11)/(((c/c**(-1/6))/c*(c*c*((c/c**(-9))/c*c)/c)/c)/(c*c/c**1*c)**(-13)) assuming c is positive.
c**(-1643/66)
Simplify ((j*j**(-17))/j**(-1/2)*j*j*j**9*j**(1/23))**(-39) assuming j is positive.
j**(7995/46)
Simplify ((c*c**(-1/7)*c*c*c*c**4)/(c**(-1)*c*(c/(c**(-1/2)*c)*c)/c*c))/((c/c**(-1))**(-2)/(c**(1/4))**49) assuming c is positive.
c**(633/28)
Simplify (((p/(p*p**(-2/7)/p*p*p))/p**5)/(p*p**(-2/7))**(7/4))/(((p/p**(-1/6)*p*p)/p)/(p/p**(1/3)))**(-1/3) assuming p is positive.
p**(-181/28)
Simplify (w**7/((w**(-6/7)*w)/w*w))/((w**2/w)/(w**(-2/7)/w))*w**(-2/3)/w**(-2/13)*((w*(w*w**(2/7)*w)/w)/w)**(10/7) assuming w is positive.
w**(11266/1911)
Simplify ((v**(-9)/(v/v**(-11)*v*v*v)*(v*v**1*v)**(-8/7))**(-27))**50 assuming v is positive.
v**(259200/7)
Simplify ((q**(-1/3))**17)**11*((q*(q**12*q)/q*q*q)/q**5)**(4/13) assuming q is positive.
q**(-2311/39)
Simplify (g**(-29/4)/g**(-23))/((g/g**(2/11))/(g/g**(-2/11))) assuming g is positive.
g**(709/44)
Simplify (((k**(-2)*k*k)/k)/((k/k**(-7))/k)*k**41*k**6)**49 assuming k is positive.
k**1911
Simplify ((w**(-4/5))**(7/2))**42*w**8/w**(-1/5)*w/(w/(w*w**(4/3)/w*w))*w*w**(3/8) assuming w is positive.
w**(-12683/120)
Simplify ((f*f**6)**(-3/10)*f**6*f/f**(-2/7))**(-7/2) assuming f is positive.
f**(-363/20)
Simplify (i*i/(i/i**36))/i**(-15/2)*(i**(9/7)/i)**(27/4) assuming i is positive.
i**(325/7)
Simplify (((z/(z*z/(z*z**(-2/3))))**39/(z**(-2)*z*z**(1/2)))**(41/5))**(29/2) assuming z is positive.
z**(-60639/20)
Simplify ((u*u*u**(6/7))/(u*u/u**3*u*u*u))**(9/2)*(u/u**(-2/7))**38/(u**(-2/9)/u)**(1/9) assuming u is positive.
u**(29966/567)
Simplify (i**(1/6)/(i/i**8))/(i**(-8)*i**(-4)*i)*((i*i**(-6))/i**(-13))**33 assuming i is positive.
i**(1693/6)
Simplify n**(-1/5)*(n/n**(2/3))/n*n**(-2/7)*n*n*n*n**(-3)*n*(n/((n*n*n**(-2/5)*n)/n)*(n*n*n**(-8))/n)**(-15) assuming n is positive.
n**(11954/105)
Simplify ((v*v**(-4/5))/(v*v**2))/(v**5/v**(1/9))*((v/(v*v**(1/6)*v))/(v/((v**(1/4)/v*v)/v)))/((v/(v*v**(-2/11))*v)/v**(3/5)) assuming v is positive.
v**(-22151/1980)
Simplify (t**(-5/6)*t*(t/t**(-11))/t)**(14/9)/(t**(-3)/(t**(-1/9)/t)*(t**1)**17) assuming t is positive.
t**(61/27)
Simplify ((q**(1/2))**48)**(-6)/((q/(q/(q*q**5)))/q**(-3)*((q**(-2/7)*q)/q)**0) assuming q is positive.
q**(-153)
Simplify (g**(-5/11)/(g**(-13/6)/g))/(g**(2/43)/(g*g/(g**(3/4)/g)*g)) assuming g is positive.
g**(33577/5676)
Simplify ((k**(-1)/k)**36*(k**2*k)/(k**(2/3)/k))/(k**(1/10)*k**(-2))**(-3/4) assuming k is positive.
k**(-8411/120)
Simplify (d**(-1/4)/d**(-2/3)*(d**(2/15)*d)/(d*d*d**(1/3)))/((d**(1/2))**(5/8)*d**(3/4)/d**1) assuming d is positive.
d**(-203/240)
Simplify ((i**(-4))**(-28))**(-41)/(i/(i/i**(-12))*i**(-11)/i*i)**(2/127) assuming i is positive.
i**(-583138/127)
Simplify ((b**(2/7))**(-3/14))**(2/17)/((b/b**(1/3))**(1/9)*(b*b**(1/5)*b)/(b*b**(-2/13)*b)) assuming b is positive.
b**(-636113/1461915)
Simplify (((r/r**(-1/2))/(r*r**(1/9)/r))/(r**(-1))**(-38))**(-42) assuming r is positive.
r**(4613/3)
Simplify ((u**2)**(-3/2)/((u/((u/((u**(3/13)/u)/u)*u*u*u)/u))/u**27))**36 assuming u is positive.
u**(12996/13)
Simplify (b**(-1/4))**23/((b**(-7)/b)/b**9)*((b*b*b*b*b*(b*(b**1*b)/b)/b)/b)**(-4)*(b**0)**(-5/11) assuming b is positive.
b**(-35/4)
Simplify (m*m**(-2/5)/m*m/m**(-4))/(m**(-2/7)/(m*m**(-1)))*(m**(-1/12)*m**3)/(m**2*m*m*m*m**0) assuming m is positive.
m**(1177/420)
Simplify (((b**9/(b**(3/10)/b*b))**50)**(-17))**(-1/25) assuming b is positive.
b**(1479/5)
Simplify ((w/(w**(7/4)/w))**(5/9)*(w**(-1/2)*w)/w**(-2))**(-5/2) assuming w is positive.
w**(-475/72)
Simplify (((g*g*g*g**(-14)*g*g*g*g)/g*g**(-8/3)/g*(g/(g**(-6)*g*g)*g)/g*g*g**2*g*g)**(-49))**(-9/4) assuming g is positive.
g**(-735/4)
Simplify ((f**(2/7))**(-29)/((f/f**(-9))/(f/(f*f**(7/8)))))**(-1/18) assuming f is positive.
f**(1073/1008)
Simplify ((c**(-1/4)/c)**(-28))**(-2/5)*c*c**(-3)*c**(3/2)/c*(c**0)**(-25/3) assuming c is positive.
c**(-31/2)
Simplify (((s**2/s)/((s/(s/s**4))/s))/((s/(s/(((s*s**(-4))/s)/s)*s))/s**(2/11)))/((s**0/s)/(s*s**(2/9)))**20 assuming s is positive.
s**(4814/99)
Simplify (p**0/(p/p**3))/(p**(2/7)*p)**(-9)*(p*p**(-1/2)/p)/((p/(((p**(-5)/p)/p)/p))/p)*(((p**(2/9)*p)/p)/p)/(p**(-5/3)/p) assuming p is positive.
p**(877/126)
Simplify ((s*s*s**9)/(s*s/s**(-5)))**(2/13)*s**(-2)*s**(-2)/s*(s**(1/4)/s)**(-8/17) assuming s is positive.
s**(-891/221)
Simplify (((y**(-6)*y**(-10))/(y**(1/3))**(-18))**14)**(3/29) assuming y is positive.
y**(-420/29)
Simplify (r*r**(-14)*r)**(-6/23)/(r/(r*r**(2/9)*r*r))**(-19) assuming r is positive.
r**(-8092/207)
Simplify k**(-6/11)*k*k*k**(-7)*k**(-7)*k**2*(k**(2/7))**(-15/4)/((k/k**(-2/7))/k)**(2/23) assuming k is positive.
k**(-41235/3542)
Simplify ((b**8*b)**(2/29)*(b*(b**(-1/13)/b)/b*b)**(-31))**(-1/16) assuming b is positive.
b**(-1133/6032)
Simplify ((j/(j**(2/5)/j)*j/j**(2/15)*j)/((j/(j**(-2/3)*j))/j**(1/2)))/((j/(j*j/j**(-1)*j)*j)**4)**(2/29) assuming j is positive.
j**(1117/290)
Simplify g**(-2/11)/g*g**(2/9)*g*(g**(1/4))**16*(g/(g*g**(-2/13))*g*g*g**(6/11))**(2/9) assuming g is positive.
g**(5972/1287)
Simplify (o**(-2/9)/o**6)/(o**(-2/7))**(3/2)*(o/(o**(-3)/o)*o/(o/o**(-1)))/((o**3/o)/((o*(o/(o**(-7)*o*o))/o)/o)) assuming o is positive.
o**(76/63)
Simplify ((c**(-1))**(1/12))**28/(c*c**(-2)*c**(-1/5)/c)**(1/32) assuming
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{
"pile_set_name": "DM Mathematics"
}
|
d*v**4 and give m.
-3
Express (1 - g - 1)*((-3 + 3 - 13*g)*(-6 + 4 + 0) - 12 + 12 - 23*g) as f*g + u + o*g**2 and give o.
-3
Rearrange (808 - 80*y - 808)*(y - 2*y + 2*y)*((2 + 1 - 1)*(-4 + 3 - 1) + 4 + 2 - 3)*(-1 + 5 - 2) to j + p*y**2 + o*y and give o.
0
Rearrange (-4 + 8 + 1)*(-4 - 2 + 3)*(37 - 37 + 5*r)*(-6*r + 2*r + r) to the form l*r + n + x*r**2 and give x.
225
Rearrange -82*s**2 + 10*s**2 + 74*s**2 + 452*s to p*s**2 + d + g*s and give d.
0
Rearrange -2924*v**2 + 5*v**3 + 2926*v**2 + 5*v**4 - 15*v**4 to i*v**4 + u*v**2 + n*v + d + k*v**3 and give d.
0
Rearrange 13*s**3 + 2*s + 20*s**2 - 4*s - 10*s**2 - 5*s**2 - 2 - 7*s**2 to q + j*s**2 + o*s + l*s**3 and give j.
-2
Rearrange -25*a + 3 + 24*a + a**4 + 4*a**3 + 3*a**4 + 2*a**2 - 6 to y + f*a + v*a**3 + p*a**2 + q*a**4 and give p.
2
Rearrange -118*j**2 + 28*j + 9*j + 121*j**2 to f + d*j + c*j**2 and give c.
3
Express 8 - 6*k**2 - k**4 + 3*k**4 - 15 + k**4 as s*k**4 + d*k**2 + b*k + o + h*k**3 and give o.
-7
Rearrange (-3 - 3 + 5)*(-b - 2*b + 4*b) + (2 + 2 - 3)*((-4 + 1 - 8)*(-4*b + 6*b + 0*b) + 3*b + 0*b - b - b - 3*b - b) to the form d + g*b and give g.
-26
Express -i**2 - 3*i**2 + 2 - 124102*i + 124324*i + 6*i**2 as j*i**2 + g*i + h and give g.
222
Express -60358 + 60358 + 271*i**3 - i**2 in the form k*i**2 + n*i + h + f*i**3 and give k.
-1
Express -453 - 328 + 235 - 4*m**2 + 2*m**2 - 154 as y + i*m + l*m**2 and give y.
-700
Express 7*j + 3*j - 2*j - 12 + 11 in the form u + r*j and give u.
-1
Rearrange ((2*d + 0*d + d)*(-3 + 1 + 3) + 3 - d - 3)*(-d**2 - d**2 - 242*d + 194*d) to the form t*d**2 + i*d + u*d**3 + h and give u.
-4
Express 21 - 2*h**2 + 0*h**2 + 97*h**4 - 62*h**4 - 20 as x + f*h + c*h**4 + v*h**3 + o*h**2 and give v.
0
Express 2*l**4 + 26 + 4*l**2 + 33 + 32*l**2 + 11*l**2 - 45*l**2 in the form j*l**3 + s*l**4 + d + t*l + n*l**2 and give n.
2
Express (5*j - 9*j + 6*j)*(4 - 3 + 0) + 2 - 7*j - 2 + 2*j - 2*j - j as m*j + u and give m.
-6
Express 846*n - 2*n**2 - 434*n - 437*n in the form v + o*n + r*n**2 and give o.
-25
Express (4 - 1 - 5)*(-c + 3*c - c)*(320*c**2 + 4*c**2 + 296*c**2)*(-4 + 4 + 5*c) as b*c**3 + m + a*c**2 + r*c**4 + t*c and give r.
-6200
Rearrange -66*d + 57*d + 10*d - 594*d**2 to the form z*d + w + b*d**2 and give b.
-594
Express 2 - 4 + 6 - 135*t - 6 in the form l + q*t and give l.
-2
Rearrange -1203*h + 1203*h - 54*h**2 to p*h + v + f*h**2 and give f.
-54
Express -110 + 402*q**2 + 212 - 100 in the form b*q + g*q**2 + f and give f.
2
Express 1 + 238*w + 1 - 826*w + 361*w - 1 as o*w + t and give t.
1
Express -o**4 + 19 - 5*o**4 - o + 0*o - 17 - 4*o**2 + o**3 as i + r*o**3 + f*o**4 + v*o + y*o**2 and give r.
1
Rearrange ((-2*y + 2*y - 2*y)*(-2*y - 2*y + 3*y) + 6*y - 6*y + 3*y**2)*(193*y + 19 - 390*y + 196*y) to m*y + t*y**2 + k + i*y**3 and give t.
95
Rearrange (-199*p - 13*p - 42*p)*(0*p**2 + 3*p**2 - p**2) to the form o*p**2 + l*p + u*p**3 + r and give u.
-508
Rearrange -1 + 1625*c - 1625*c + 3*c**3 + 5 to the form s*c**2 + m*c + f + p*c**3 and give p.
3
Express -3*s**4 + s**2 - 165 - 2*s**3 + 0*s**3 + 3*s**3 + 3910*s - 3910*s as m + n*s**2 + r*s + x*s**3 + h*s**4 and give x.
1
Express c - 66 - 174*c + 66 in the form x + b*c and give x.
0
Express -608 - 612 - 541*p**2 - 2*p + 1220 as u*p + m*p**2 + d and give m.
-541
Express y**2 - 1 - 6*y**3 + 15*y**3 + 5 - 14 - 7*y + 11 as a + v*y**3 + g*y + h*y**2 and give h.
1
Rearrange (70 + 31 - 573)*(-3 + 3 - 2*y)*(-10*y**3 - 2*y + 2*y) to the form f*y**4 + d*y**2 + k + i*y**3 + g*y and give f.
-9440
Express (0*w + 2*w - w)*(-205*w**3 - 97*w**3 + 51*w**3) in the form m*w**3 + h*w**4 + a + x*w + g*w**2 and give h.
-251
Express 2*d**2 + 1206 - 1204 - 2*d - 16*d**2 - 4*d**2 as m + n*d**2 + c*d and give m.
2
Rearrange (0 + 1 + 0)*(3 - 3 + 1 + (0 + 2 - 1)*(1 + 3 - 2) - 32 + 58 - 32)*(2 - z - 2) to the form v + y*z and give y.
3
Express 0 + 0 + 115*k + 93*k as i + t*k and give i.
0
Express (-c**2 + 2 - 2)*(2 + 0 - 1) - 440*c**2 + 196*c**2 + 72*c**2 in the form m*c**2 + g + l*c and give m.
-173
Rearrange (-2569*c**3 - 2544*c**3 + 1 + 4974*c**3 - 2*c)*(-3*c + 2*c + 2*c) to the form y*c**3 + l + z*c**4 + m*c + p*c**2 and give p.
-2
Express -17 + 3*r**3 - 5*r - 6*r**3 + r**2 + 3*r in the form c*r**3 + m + n*r + o*r**2 and give c.
-3
Express ((6 - 1 - 4)*(0 + 0 - t) - 14262 + 14262 - 1612*t)*(-2*t - 6*t + 2*t) in the form g + u*t**2 + k*t and give u.
9678
Express -r**3 - 5*r**2 + 5*r**2 + (-130*r**3 - 4454 + 4454)*(0 - 2 + 4) - 2*r**3 + r - r as b + s*r**3 + i*r + k*r**2 and give s.
-263
Express -q - 5 + 12 + 0*q in the form l*q + d and give d.
7
Express -m + 329*m**2 - 17*m**3 + 15*m**3 - 235*m**2 as i*m**3 + n*m**2 + w*m + x and give i.
-2
Rearrange 26075 - 26075 - 79*z**3 - 3*z**2 + (-2*z + 2*z + z**2)*(3 + 1 - 2)*(1 - 1 + 2*z) to n*z + g*z**3 + h + y*z**2 and give g.
-75
Rearrange (168 + 76 + 26)*(6*w - 2*w - 3*w) to j*w + i and give j.
270
Rearrange 0 + 227*x + 7 + 24 - 31 to the form p*x + c and give p.
227
Rearrange (63 + 113 - 26)*(4 - 4 + q)*(-6 + 1 + 3)*(2*q + q - 2*q) to s + m*q**2 + r*q and give m.
-300
Express -q**2 - 229 - 4*q**2 + q**2 + 7*q**2 in the form a*q**2 + v*q + c and give a.
3
Express 3*a**3 - 128*a + 34*a**4 - 41*a**4 + 126*a + a**2 in the form u*a + x*a**4 + w*a**2 + k + o*a**3 and give x.
-7
Rearrange (279*a**2 - 497719*a + 497719*a)*(1 + 0 + 0) to the form y*a**2 + i*a + u and give u.
0
Express (23658 - 11830 - 742*r - 11830)*(2*r + 1 - 1) in the form s*r + f + j*r**2 and give j.
-1484
Rearrange (0*u - 2*u + u)*(-248*u - 282*u + 127*u + 1) to the form d*u + q*u**2 + j and give j.
0
Rearrange 85*w - 316*w - 178*w - 29*w to l*w + n and give l.
-438
Rearrange (-2 + 5 - 1)*(2 - 4*x**2 - 2) + 2008*x - 2008*x + x**2 - 15 to the form f*x + q + z*x**2 and give z.
-7
Rearrange 5 + 28*s**4 - 5*s - 17 + 5 + 8 to w*s**4 + r*s**2 + m + j*s**3 + c*s and give c.
-5
Rearrange -6*p + 5*p - 22 - p + 4*p to the form o*p + s and give o.
2
Express -86*n - 2*n + 8*n**2 + 45*n in the form u*n**2 + b*n + v and give v.
0
Express 7*m**2 + m**2 + 45*m**3 - 15*m**2 + 8*m**2 + 726*m**3 in the form v + y*m**3 + j*m + g*m**2 and give v.
0
Rearrange (2*o - 2*o + 3*o)*(1 - 1 + 2) - 337*o - 4 + 3 + 298*o to the form m + g*o and give m.
-1
Express -94081 - 204*q + 1309*q + 94081 as v*q + p and give v.
1105
Rearrange -101 + 22*h - 27*h + 5*h + 6*h**2 to p + m*h + j*h**2 and give p.
-101
Express 5*u**2 + u**2 + 32*u + 9*u**4 - 2 - 5*u**2 - 8*u**4 as v*u**4 + r + h*u + s*u**2 + x*u**3 and give v.
1
Rearrange 28*s**2 + 18*s**2 + 4*s**2 - 3*s**2 - 7*s**2 to the form k*s + b + o*s**2 and give o.
40
Rearrange -2*s**3 - 4*s**4 - 32707 - 5*s**2 + 32710 + 7*s**3 to the form b + q*s**4 + j*s + d*s**2 + w*s**3 and give j.
0
Express (2*w - 4 + 4)*(-2*w + 3 - 3) - 212*w**2 + w - 162*w**2 + 94*w**2 + w**2 + w - w in the form n + v*w**2 + y*w and give y.
1
Rearrange -3*a**2 + a**3 + 15*a - 17*a + 5*a**2 + 4 + 2*a**3 + 13*a**2 to z*a**2 + o*a + s + g*a**3 and give o.
-2
Rearrange 151*r**2 + 42 - 3*r - 83 + 43 to f + h*r + m*r**2 and give m.
151
Express -3*n + 5*n + 12 - 27*n + 0*n as j + u*n and give u.
-25
Express (33 + 27*d - 33)*(-1 + 3 - 1)*(4 + 2 + 4) as b + p*d and give p.
270
Express -56 - 240*j + 5*j + 56 in the form b + t*j and give t.
-235
Rearrange (1 + 2*i**2 - 1)*(16*i + 39*i - 15*i + 468*i) to j*i**2 + b + o*i + c*i**3 and give c.
1016
Rearrange (99*d - 30*d + 2158*d)*(6 - 6 + 2*d + (-3 + 5 + 0)*(-3*d + d + 3*d)) to u + a*d + b*d**2 and give b.
8908
Express (4 - 15*n**2 + 30 - n - 20)*(2*n**2 + n**2 - n**2) as v*n + p*n**2 + w + g*n**3 + u*n**4 and give p.
28
Express (4*w - 2*w + 6*w)*(3*w - 6*w + 2*w) + 5 - 4*w**2 - 3*w**2 + 5*w**2 as q*w**2 + v + x*w and give v.
5
Express -184 + 299 + 204 + 5*o**2 + 219 - 4*o**2 in the form v*o**2 + f + w*o and give f.
538
Express 12*t**2 - 16 + 16 + 2*t**2 + 1 - 1 + (0*t - t - t)*(-4*t + 5*t + 4*t) as v*t**2 + z*t + j and give v.
4
Express ((0 + 2 - 1)*(3 - 3 + 6)*(-8*a - 5*a + 9*a) + 2*a - 2*a - 3*a)*((0*a + a - 2*a)*(3 - 2 + 1) - 1 + 1 - 2*a) as y + h*a**2 + g*a and give h.
108
Rearrange (-416*l + 828*l + 287*l)*(-1 + 2 - 2)*(0*l**3 - 2*l**3 + 4*l**3) to the form j*l**2 + k + o*l**4 + m*l + g*l**3 and give o.
-1398
Express (-2*r + 2 - 2)*(-11 - 3 + 5)*(15 + 5 + 4)*(3 - 4 - 1) as l + z*r and give z
|
{
"pile_set_name": "DM Mathematics"
}
|
or of 16 and 56386624.
16
What is the highest common divisor of 13467370 and 140?
70
What is the greatest common factor of 282784934 and 2206?
2206
Calculate the greatest common divisor of 3325 and 218340875.
475
What is the highest common factor of 167400315 and 180?
45
Calculate the highest common divisor of 255 and 14329740.
15
What is the highest common factor of 496 and 1684168?
248
What is the greatest common factor of 1197 and 3143189?
133
What is the highest common factor of 266912 and 10830?
38
What is the highest common factor of 2304 and 70365744?
144
Calculate the greatest common factor of 711 and 377058942.
711
Calculate the highest common factor of 2071 and 118617.
19
Calculate the highest common divisor of 31110 and 547480002.
6222
Calculate the greatest common factor of 832741 and 13741.
91
What is the greatest common factor of 648734 and 18836?
554
Calculate the highest common factor of 301124 and 94328.
3628
What is the highest common factor of 1923523 and 128947?
763
What is the greatest common divisor of 73 and 54665174?
73
What is the greatest common factor of 1930840 and 25?
5
What is the highest common divisor of 172 and 1402084187?
43
What is the greatest common factor of 16310683 and 19?
19
Calculate the highest common divisor of 70 and 75123062.
14
Calculate the greatest common factor of 5912430 and 1020.
510
What is the greatest common factor of 252 and 560812?
28
Calculate the highest common factor of 180090 and 338010.
30
Calculate the highest common divisor of 153 and 14568252.
51
What is the highest common factor of 168 and 11513180?
28
Calculate the highest common factor of 8481 and 122639.
11
What is the highest common factor of 368 and 1304353?
23
What is the greatest common factor of 1810 and 30655970?
1810
What is the highest common divisor of 17849883 and 1353?
123
What is the highest common factor of 3746448 and 48816?
144
What is the highest common factor of 126024 and 11837?
89
Calculate the greatest common factor of 2002357 and 3059.
161
Calculate the highest common divisor of 13607 and 21978.
11
What is the greatest common divisor of 22197 and 3569187?
453
What is the highest common divisor of 12662650 and 2450?
350
Calculate the highest common factor of 170 and 159450730.
10
What is the greatest common divisor of 5396727 and 14?
7
Calculate the highest common divisor of 6355 and 65422400.
155
Calculate the highest common divisor of 26066823 and 2742.
1371
Calculate the greatest common factor of 64874 and 93928.
398
Calculate the highest common divisor of 26664 and 355872.
264
What is the highest common factor of 967941 and 504?
9
What is the highest common factor of 54 and 260754?
6
Calculate the highest common divisor of 4700106 and 69255.
4617
Calculate the greatest common factor of 45107560 and 30965.
2815
What is the highest common factor of 3075 and 832107300?
3075
What is the highest common factor of 6512 and 45104?
16
Calculate the greatest common divisor of 2470 and 64203230.
130
What is the greatest common divisor of 797040 and 3683070?
810
Calculate the highest common factor of 117 and 300057849.
117
Calculate the greatest common divisor of 10358534 and 361.
361
What is the highest common factor of 620 and 132462473?
31
Calculate the greatest common divisor of 108 and 2315724.
12
What is the highest common factor of 5609 and 4040929?
79
Calculate the highest common factor of 40004 and 23998564.
548
What is the highest common divisor of 38088057 and 231?
21
What is the highest common divisor of 30387 and 7375359?
4341
Calculate the greatest common factor of 885915 and 8775.
45
Calculate the highest common divisor of 2720 and 85729776.
272
What is the highest common divisor of 50 and 547125050?
50
Calculate the highest common divisor of 121212 and 189.
63
Calculate the highest common divisor of 2346 and 1108278.
138
Calculate the greatest common factor of 219683640 and 23265.
7755
What is the greatest common factor of 16964464 and 95824?
1808
Calculate the highest common divisor of 2789725 and 1661.
151
Calculate the highest common divisor of 693 and 59796.
99
Calculate the greatest common factor of 18352 and 4661656.
248
What is the greatest common divisor of 10 and 1882182?
2
What is the highest common factor of 724603660 and 218?
218
Calculate the greatest common factor of 23042 and 57236.
82
Calculate the greatest common divisor of 31415815 and 8395.
115
What is the greatest common divisor of 39390 and 3626506?
2626
Calculate the highest common factor of 5420 and 126400.
20
What is the highest common divisor of 94 and 72918009?
47
Calculate the greatest common factor of 36 and 28068732.
36
Calculate the highest common divisor of 11018 and 4874678.
1574
What is the highest common factor of 4000948 and 2109989?
7301
Calculate the highest common factor of 411171 and 533301.
4071
Calculate the greatest common divisor of 116512 and 483260.
1324
Calculate the greatest common divisor of 39259559 and 903.
43
Calculate the greatest common factor of 235500 and 83500.
500
Calculate the greatest common divisor of 4 and 831518.
2
What is the greatest common divisor of 808907533 and 343?
343
What is the greatest common factor of 10972 and 14106616?
844
Calculate the greatest common factor of 65699645 and 9692.
2423
What is the greatest common divisor of 219 and 69294374?
73
Calculate the highest common divisor of 9 and 942808923.
9
Calculate the highest common divisor of 35 and 14042065.
5
Calculate the highest common factor of 59 and 8360241.
59
Calculate the highest common factor of 350874 and 54342.
18
Calculate the greatest common divisor of 325307771 and 43.
43
Calculate the highest common divisor of 12374 and 174662.
46
Calculate the greatest common divisor of 30497388 and 36.
12
Calculate the highest common factor of 6957666 and 1845.
9
What is the greatest common factor of 2227 and 129439921?
2227
What is the highest common factor of 10034665 and 22775?
4555
Calculate the greatest common factor of 9318894 and 4773.
111
Calculate the greatest common divisor of 28762778 and 19646.
1034
What is the highest common divisor of 65453 and 39145408?
2257
What is the highest common divisor of 176293496 and 16?
8
Calculate the greatest common divisor of 600 and 58670616.
24
Calculate the greatest common factor of 3341330 and 90.
10
Calculate the highest common factor of 52804 and 1712604.
172
What is the highest common factor of 20028430 and 20?
10
What is the greatest common divisor of 46989 and 2637?
9
What is the highest common divisor of 10108 and 7908788?
1444
Calculate the highest common divisor of 26610 and 539610.
30
Calculate the greatest common factor of 615 and 33465.
15
Calculate the greatest common divisor of 22636490 and 7869.
2623
Calculate the greatest common factor of 197 and 307001254.
197
What is the greatest common factor of 20248074 and 12936?
3234
What is the greatest common divisor of 19101575 and 725?
725
Calculate the greatest common factor of 111821 and 18.
1
What is the highest common factor of 701913 and 27?
3
What is the greatest common factor of 220 and 1524911740?
220
Calculate the highest common divisor of 16003 and 17017.
13
What is the greatest common divisor of 611820 and 1890?
270
Calculate the greatest common factor of 2880 and 934704.
144
Calculate the highest common divisor of 242 and 201409494.
22
Calculate the greatest common divisor of 2022 and 83511296.
674
What is the greatest common factor of 434 and 80192?
14
What is the highest common factor of 84545 and 407?
37
What is the highest common divisor of 169 and 12671776?
13
Calculate the highest common factor of 267656982 and 4041.
1347
What is the highest common divisor of 5976963 and 27?
27
What is the highest common divisor of 5334 and 167052498?
762
What is the greatest common divisor of 2828601 and 1551?
141
Calculate the greatest common divisor of 4660480 and 67855.
1655
What is the greatest common factor of 1020356 and 841216?
212
Calculate the greatest common divisor of 20453785 and 139403.
4807
Calculate the greatest common factor of 23 and 863138779.
23
What is the highest common factor of 3660495728 and 16?
16
Calculate the greatest common divisor of 42644 and 39452.
28
What is the highest common f
|
{
"pile_set_name": "DM Mathematics"
}
|
rt(17) + 39177
Simplify -3*((sqrt(99) - (sqrt(99) + 0)) + sqrt(11)*1 + 5)*-6.
18*sqrt(11) + 90
Simplify (sqrt(416) + (sqrt(416) - -4*sqrt(416)*1) - sqrt(416))/(sqrt(288) - (sqrt(288) + -2*sqrt(288) + sqrt(288))*1).
5*sqrt(13)/3
Simplify (sqrt(110)*2*-6 + sqrt(110))/(sqrt(4000)/sqrt(4)).
-11*sqrt(11)/10
Simplify (2*sqrt(88)*2 - (((sqrt(88)*-2 - sqrt(88)) + sqrt(88) - sqrt(88))*-4 + sqrt(88) - sqrt(88)))/((sqrt(40) + (sqrt(240)/sqrt(150) - sqrt(40)))/sqrt(5)).
-40*sqrt(11)
Simplify ((sqrt(84)*-1*-1 + sqrt(84))/(((sqrt(63) + -1*sqrt(63))/sqrt(9) - sqrt(7)) + -3*1*sqrt(7)))**2.
3
Simplify (sqrt(102)/(sqrt(2) - (sqrt(2) - sqrt(6)/sqrt(3))))/(sqrt(192) + (sqrt(192)*1 - sqrt(192)))*-4.
-sqrt(17)/2
Simplify ((sqrt(91) - sqrt(91)*5)*6)/(sqrt(7) + sqrt(70)/(3*sqrt(10))).
-18*sqrt(13)
Simplify (6*-1*sqrt(228) + 1*sqrt(228)*2)/(-4*-1*sqrt(12) + (-2*sqrt(972) - sqrt(12))).
4*sqrt(19)/15
Simplify -4*((1 + 2*sqrt(171))*-2 + (-2 + sqrt(171) + -4 + sqrt(171) + 0)**2).
-2872 + 336*sqrt(19)
Simplify (0 + sqrt(19) + -2 + (-1*sqrt(133))/sqrt(7) + sqrt(19) + 4*(sqrt(19) - 1*sqrt(684)) + 0)**2.
76*sqrt(19) + 6863
Simplify (sqrt(72)/sqrt(6))/sqrt(6)*-6*-1*4.
24*sqrt(2)
Simplify -1 + ((sqrt(24) - sqrt(216)*-1)/sqrt(8)*-4)**2 + 0.
767
Simplify -5*(sqrt(432) + (sqrt(432) + 3 - sqrt(432))) + -6*sqrt(432)*-3 + 0.
-15 + 156*sqrt(3)
Simplify -5*(sqrt(252) - 3*sqrt(252))/(sqrt(500)/sqrt(5)).
6*sqrt(7)
Simplify (3*((sqrt(114) - sqrt(114)*2) + sqrt(114)) + sqrt(114))/((sqrt(6) + (sqrt(6) - sqrt(294)) - sqrt(6))*-6 - sqrt(6)) + 5.
sqrt(19)/35 + 5
Simplify 3*((-1*sqrt(162) + sqrt(162))**2 + 0) + 3.
3
Simplify -2*-2*3*-1*sqrt(1200).
-240*sqrt(3)
Simplify 1 + 0 + (-3*-2*sqrt(320))**2 + -5 + (5*(sqrt(320)*-1 - sqrt(320) - sqrt(320)))**2.
83516
Simplify ((sqrt(396)*-3*6 - (sqrt(396)*3 + sqrt(396) + sqrt(396))*3)*-3)**2.
3881196
Simplify (sqrt(19) - (sqrt(171)/sqrt(324))**2 - (sqrt(19) - (1 + sqrt(684)))) + (1*sqrt(152))/((sqrt(28)/sqrt(2))/sqrt(7)).
17/36 + 8*sqrt(19)
Simplify 1 + (1*sqrt(98) + 1 - (sqrt(6)/sqrt(3)*3 + 0))**2.
8*sqrt(2) + 34
Simplify 3*((1*sqrt(104)*2)/sqrt(8) + 5).
15 + 6*sqrt(13)
Simplify 4 + -3*(((sqrt(684)*-3 - sqrt(684))*-2)**2 + 4).
-131336
Simplify sqrt(1053)*-3 - (1*sqrt(325))**2 - (((sqrt(65)*-2)/sqrt(5))**2 + (-1*sqrt(637))**2).
-1014 - 27*sqrt(13)
Simplify (sqrt(1008)*-3 + 2 + -5 + 0)**2.
216*sqrt(7) + 9081
Simplify ((sqrt(68)/(sqrt(4)/sqrt(2)))/(sqrt(2) - -2*(sqrt(32) - sqrt(2))))**2 - sqrt(119)/(sqrt(175) - (sqrt(175) - sqrt(175)*2 - sqrt(175)))*2.
-2*sqrt(17)/15 + 17/49
Simplify (sqrt(170)*-2*6 - (sqrt(170) - 1*sqrt(170)*-6))/(sqrt(120)/(sqrt(432)*1)).
-114*sqrt(17)
Simplify (sqrt(297)/(sqrt(1100) - -3*sqrt(1100)))/(sqrt(144)/sqrt(4) + sqrt(729) + sqrt(729) + -2*sqrt(729)).
sqrt(3)/80
Simplify (3*-5*sqrt(832))/(-5*-1*sqrt(16)) + 4.
-6*sqrt(13) + 4
Simplify (sqrt(931) + -1 - sqrt(931)) + (sqrt(1216)*1)**2 - ((-2 + -1*sqrt(2299) + sqrt(2299))*-4)**2.
1151
Simplify -4*1*(1*sqrt(325) + -4).
-20*sqrt(13) + 16
Simplify ((sqrt(468) - -2*sqrt(468)*5)*-2 - (-3 + sqrt(468) + -5)*6)**2.
-16128*sqrt(13) + 369216
Simplify (sqrt(440)/(sqrt(88)/sqrt(44)))/((1*sqrt(80) + sqrt(5))*-5).
-2*sqrt(11)/25
Simplify 1 + (-3*(sqrt(25) - (1*sqrt(3025) + sqrt(25)))/(sqrt(5) + sqrt(45) + sqrt(135)/sqrt(3)))**2.
5494/49
Simplify ((-1*sqrt(99)*-1)/(sqrt(144)*5))**2.
11/400
Simplify -4*(sqrt(612) + 0) + (0 + (1 + sqrt(17))*1)**2.
-22*sqrt(17) + 18
Simplify ((sqrt(117) - (sqrt(117) - sqrt(117)*-2 - sqrt(117)))*6*1)/(sqrt(144) + sqrt(27)/(1*sqrt(3))).
-6*sqrt(13)/5
Simplify ((-2 + -2*((sqrt(108) - (sqrt(108) + sqrt(108)*2)) + sqrt(108)))*-4 + -2)**2*-3.
-20844 + 1728*sqrt(3)
Simplify (0 + sqrt(2736)*2 + 3 + (sqrt(2736) - (-1 + sqrt(2736))))**2 + (0 + (sqrt(2736) + 1*sqrt(2736))**2 - sqrt(2736)) + 4.
180*sqrt(19) + 21908
Simplify -3 + (0 + sqrt(245))*3 - (3 + (1*sqrt(320) - ((sqrt(5) + 0 - sqrt(5)) + -5 - sqrt(5))))**2.
-472 - 123*sqrt(5)
Simplify (-4*(-5 + -1 + (sqrt(125) + 2 - sqrt(125)) + -1 + -1 + sqrt(125)) + 5)**2.
-1160*sqrt(5) + 2841
Simplify ((sqrt(612) + sqrt(612) + 2 - sqrt(612) - (sqrt(17) + sqrt(272))*5) + -3 + 2*sqrt(1377))**2.
2*sqrt(17) + 18
Simplify -3*(sqrt(180) - (-1 + (sqrt(180) - (-2 + sqrt(180)))) - (sqrt(180) - (sqrt(180)*-2 + -1)))**2*-6.
864*sqrt(5) + 13032
Simplify sqrt(2)*-3 + 4 + -4 + 1*(sqrt(72) + -3 + sqrt(72))**2.
-75*sqrt(2) + 297
Simplify -5*((1*-1*sqrt(84)*-3)/(5*(sqrt(432) + (sqrt(432) - (sqrt(432)*-1 + sqrt(432) + sqrt(432))))))**2.
-7/20
Simplify ((sqrt(320) - ((sqrt(320)*-2 - sqrt(320)) + sqrt(320)) - sqrt(320)) + sqrt(320))/sqrt(4) - ((-4*sqrt(55)*-2)/sqrt(11))**2.
-320 + 12*sqrt(5)
Simplify ((-5 + sqrt(2) + -1 - -3*sqrt(8)/sqrt(4)) + 5 + 0)**2 + -4.
-8*sqrt(2) + 29
Simplify (5 + (sqrt(272) - (sqrt(272) + sqrt(272)*2 - sqrt(272))*1))**2 + (4 + 4*-2*sqrt(272))**2.
-296*sqrt(17) + 17721
Simplify ((3*(sqrt(7) + -2) - (sqrt(21) + sqrt(336))/sqrt(3)) + -5)*1.
-11 - 2*sqrt(7)
Simplify ((sqrt(187) - -2*sqrt(187))*-4 - ((1*sqrt(187) - sqrt(187))*3 - sqrt(187)))/(4*sqrt(176)*-5).
11*sqrt(17)/80
Simplify (sqrt(11) - (2*sqrt(11) + -2)) + -3 - -4*((sqrt(891) + 3)**2 - sqrt(891)).
179*sqrt(11) + 3599
Simplify sqrt(1216) + -6*(sqrt(1216) - sqrt(1216)*5) + sqrt(1216) + sqrt(1216) + sqrt(1216) + -2*(sqrt(1216) - (sqrt(1216) + -4))**2 + 2.
-30 + 224*sqrt(19)
Simplify (2*-1*sqrt(27) + 2 + (sqrt(3) - sqrt(9)/sqrt(3)) + (sqrt(3) - 2*-2*sqrt(3)))**2 + -2.
-4*sqrt(3) + 5
Simplify (-1*sqrt(405)*2)**2 + (sqrt(20)/sqrt(4) + sqrt(5) + 3)**2 + -2 + sqrt(20)/sqrt(4) + sqrt(5).
14*sqrt(5) + 1647
Simplify (((sqrt(2700) - (sqrt(2700)*-4 + sqrt(2700) + sqrt(2700))) + sqrt(27))*5)/((sqrt(81)*2)/sqrt(9) - sqrt(900)*2).
-155*sqrt(3)/18
Simplify (sqrt(99) - 3*(-1*sqrt(99) - sqrt(99)) - ((sqrt(99) - -1*sqrt(99)) + sqrt(99))*2)/((sqrt(90) - -1*sqrt(90))/sqrt(10) - sqrt(18)/(sqrt(2) - sqrt(18))).
2*sqrt(11)/5
Simplify -4 + ((sqrt(686)*2)/(-1*1*sqrt(2))*1)**2.
1368
Simplify (6*sqrt(448)/sqrt(8))/((4*sqrt(64))/sqrt(8)).
3*sqrt(7)/2
Simplify ((2*sqrt(2736)*-5 - sqrt(2736) - (3 + sqrt(2736) + -2*sqrt(2736))) + -2*sqrt(2736)*6 + -3)**2.
3168*sqrt(19) + 1324260
Simplify -2 + (0 + -1*sqrt(396) + sqrt(396) + 4 + sqrt(396)*-1)*4.
-24*sqrt(11) + 14
Simplify (-5 + 1 + sqrt(1377) + 0 + sqrt(1377) + sqrt(1377)*-2 + -2)**2 + 1 + 3.
40
Simplify -1 + (sqrt(7)*-3 + 3)**2 - 6*(sqrt(21)/(sqrt(24)/sqrt(8)))**2.
-18*sqrt(7) + 29
Simplify ((sqrt(240) - -4*sqrt(240))/sqrt(8))/(sqrt(1210)*-2 - sqrt(10)).
-5*sqrt(3)/23
Simplify ((-2 + sqrt(275) + 2)*1 - (-4 + sqrt(275) + sqrt(275)*2 + sqrt(275) - 1*sqrt(275)*1))**2.
-80*sqrt(11) + 1116
Simplify (sqrt(75) + (sqrt(75) - (sqrt(75) + 2 + 3 - sqrt(75))) - -2*sqrt(108)*-6)**2*-4.
-46228 - 2480*sqrt(3)
Simplify ((sqrt(78) + sqrt(78) + -1*sqrt(78) - sqrt(78))*2)/(sqrt(66)/sqrt(176) + sqrt(6)) - (0 + ((0 + sqrt(1300))*-2)**2).
-5200
Simplify (sqrt(70)*-2*4 - -4*-1*sqrt(70))/(sqrt(490)*1*2).
-6*sqrt(7)/7
Simplify 3*((2*(sqrt(76) + sqrt(76) + sqrt(76)*1))/sqrt(4) - (sqrt(304)*1 + sqrt(304))*-4)**2.
82308
Simplify -3*((-2*sqrt(1296) - sqrt(1296) - sqrt(36))/(sqrt(36)/(sqrt(3)*1)) + 2).
-6 + 57*sqrt(3)
Simplify ((sqrt(1008) - (sqrt(1008) + 0))*-3)**2*4 + (sqrt(1008) - (sqrt(1008) + 1)**2*2 - sqrt(1008)) + 3.
-2015 - 48*sqrt(7)
Simplify 5 + -2*(-1 + sqrt(2)) + -5*sqrt(16)/sqrt(2).
-12*sqrt(2) + 7
Simplify (-3*-2*sqrt(153)*3 - (-2*sqrt(153) + 5 + -1))**2.
-480*sqrt(17) + 61216
Simplify (sqrt(66)/(sqrt(539)*-2))/((sqrt(243) - sqrt(243)*2)*5).
sqrt(2)/630
Simplify ((sqrt(75)*1)/sqrt(5))/(sqrt(40)/sqrt(72)) + (-2*sqrt(108) + -2 - (sqrt(108) + (sqrt(108) - (sqrt(108) + 0 + -4)))**2).
-126 - 57*sqrt(3)
Simplify ((sqrt(684) - 2*sqrt(684))*4 + sqrt(684)*-2*1 + sqrt(684) - (-3 + sqrt(684) + -3 + -1*sqrt(684)))**2.
-360*sqrt(19) + 17136
Simplify (5 + sqrt(468)*2)**2 + (sqrt(468) + 0 + sqrt(468) + sqrt(468) - sqrt(468))*2 + (3 + sqrt(468))*6 + 0.
180*sqrt(13) + 1915
Simplify -2*(0 + (sqrt(396) + 0)*-2 + 4).
-8 + 24*sqrt(11)
Simplify (sqrt(152) - (sqrt(152) + (sqrt(152) - (sqrt(152) - 1*-3*sqrt(152)) - sqrt(152))) - sqrt(152))/(sqrt(32)*-4).
-3*sqrt(19)/8
Simplify (sqrt(70) + -2*(sqrt(70) + sqrt(70)*-1) + sqrt(70) - (-4*-1*sqrt(70) - sqrt(70)))/((sqrt(90)*-3*2 + sqrt(90))/sqrt(9)).
sqrt(7)/5
Simplify ((sqrt(28) - sqrt(140)/(sqrt(5) + sqrt(5) + sqrt(35)/sqrt(7)))/(sqrt(4) + 1*sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
71761328?
False
Does 531 divide 72661045?
False
Is 3662901 a multiple of 82?
False
Is 2081 a factor of 270363520?
True
Is 2463062536 a multiple of 88?
True
Does 7 divide 1501934868?
True
Is 48997516 a multiple of 13?
False
Does 548 divide 22434740?
False
Is 38008901 a multiple of 1252?
False
Is 1687500324 a multiple of 108?
True
Does 5559 divide 190791462?
False
Is 277654635 a multiple of 8?
False
Is 10 a factor of 95839197?
False
Is 370721750 a multiple of 180?
False
Does 1415 divide 226718206?
False
Is 26 a factor of 5114122?
True
Is 6742416 a multiple of 76?
True
Is 2096104168 a multiple of 19?
True
Does 7159 divide 4399606404?
True
Is 171149954 a multiple of 24?
False
Is 5223061551 a multiple of 1117?
False
Does 345 divide 1326259005?
True
Does 345 divide 907110431?
False
Does 3 divide 140747278?
False
Is 11163877 a multiple of 2693?
False
Is 355101192 a multiple of 36?
True
Does 29 divide 3007431820?
False
Is 159 a factor of 227128749?
False
Does 337 divide 155193892?
True
Does 1258 divide 18822196?
True
Does 323 divide 5134731?
True
Is 580657062 a multiple of 771?
True
Is 10 a factor of 55766140?
True
Is 17724252 a multiple of 39?
True
Is 96259580 a multiple of 103?
False
Does 11 divide 45360036?
False
Is 1803832 a multiple of 2?
True
Is 14657076 a multiple of 126?
True
Is 571 a factor of 7799860?
True
Is 325246680 a multiple of 24?
True
Is 107 a factor of 78642050?
False
Does 313 divide 99987324?
False
Is 3908 a factor of 134622784?
True
Is 830710452 a multiple of 4?
True
Does 197 divide 119399927?
True
Does 10 divide 1589581190?
True
Is 13 a factor of 1078176783?
False
Is 668 a factor of 206007860?
True
Is 36886974 a multiple of 102?
True
Is 49 a factor of 13785415?
True
Does 2282 divide 51649490?
False
Is 86956965 a multiple of 1935?
True
Is 280 a factor of 80878840?
True
Is 440757240 a multiple of 330?
True
Is 253 a factor of 164142099?
True
Is 99192015 a multiple of 108?
False
Does 687 divide 15871074?
True
Is 1371267860 a multiple of 298?
True
Does 1259 divide 822541536?
False
Is 12 a factor of 26595204?
True
Does 45 divide 430950870?
True
Is 30815255 a multiple of 53?
False
Is 152872705 a multiple of 2619?
False
Is 1337027555 a multiple of 1407?
False
Is 7213168 a multiple of 17?
True
Is 1254991913 a multiple of 170?
False
Is 529812272 a multiple of 2390?
False
Does 165 divide 145026255?
True
Is 3261 a factor of 231100548?
True
Is 2769 a factor of 35886240?
True
Is 282 a factor of 19692624?
True
Is 470003998 a multiple of 8210?
False
Is 1742090485 a multiple of 42?
False
Is 28 a factor of 3926734768?
False
Does 4065 divide 4623449700?
True
Is 959615451 a multiple of 7?
False
Is 7579240 a multiple of 89?
True
Is 2345 a factor of 93864676?
False
Is 6 a factor of 631959881?
False
Is 2866386 a multiple of 13?
False
Is 1064284 a multiple of 422?
True
Is 9696689 a multiple of 2116?
False
Does 55 divide 22898315?
True
Is 5776736 a multiple of 224?
True
Does 10 divide 667436000?
True
Does 86 divide 638961940?
True
Is 43043429 a multiple of 1991?
True
Is 79 a factor of 35887209?
False
Is 451 a factor of 312643330?
False
Is 6 a factor of 25866210?
True
Is 110 a factor of 9587380?
True
Does 516 divide 359370520?
False
Does 561 divide 26541711?
False
Is 2403 a factor of 305322883?
False
Is 24 a factor of 25141216?
False
Is 278400663 a multiple of 151?
True
Is 374 a factor of 417690357?
False
Is 119733486 a multiple of 1157?
False
Is 1269 a factor of 30964908?
False
Is 1658299980 a multiple of 170?
False
Is 56624293 a multiple of 11?
True
Does 736 divide 34921728?
True
Does 1281 divide 30822369?
False
Is 14 a factor of 59758480?
False
Is 24141704 a multiple of 38?
True
Is 1736 a factor of 161667093?
False
Does 1061 divide 132077524?
True
Is 23 a factor of 1016291470?
False
Does 141 divide 395815762?
False
Is 490 a factor of 55912636?
False
Is 2516870 a multiple of 586?
True
Is 90 a factor of 301862672?
False
Is 412530992 a multiple of 688?
True
Is 32 a factor of 312530623?
False
Is 39 a factor of 49672714?
False
Is 11151 a factor of 2265024573?
True
Does 47 divide 8561841?
False
Does 27 divide 11689838?
False
Does 39 divide 24199691?
False
Is 179442757 a multiple of 2599?
True
Is 1554 a factor of 1005021528?
True
Is 22 a factor of 153926765?
False
Does 95 divide 3917299194?
False
Is 61218890 a multiple of 982?
False
Is 30165395 a multiple of 221?
True
Is 445 a factor of 96015425?
True
Is 277957570 a multiple of 34?
False
Does 2498 divide 1043501521?
False
Does 9544 divide 1173883368?
True
Is 43138602 a multiple of 52?
False
Is 6 a factor of 11418689?
False
Does 8016 divide 3762289336?
False
Is 175 a factor of 13738550?
True
Is 297522600 a multiple of 75?
True
Is 255148625 a multiple of 214?
False
Is 95 a factor of 5753542?
False
Is 123156105 a multiple of 1744?
False
Is 889 a factor of 12413083?
False
Is 3081364242 a multiple of 2558?
True
Is 342 a factor of 681578202?
False
Is 81839684 even?
True
Does 605 divide 12476915?
True
Is 7728831 a multiple of 297?
True
Is 201 a factor of 70354971?
False
Is 4272275104 a multiple of 7709?
False
Is 21 a factor of 2245499445?
True
Is 3530 a factor of 856394797?
False
Is 46434498 a multiple of 753?
True
Does 43 divide 27018147?
True
Is 934133654 a multiple of 278?
True
Is 201569810 even?
True
Is 663 a factor of 185873447?
False
Is 52304191 a multiple of 1994?
False
Does 95 divide 583240245?
True
Is 2650377360 a multiple of 1515?
True
Is 465387378 a multiple of 16?
False
Is 454 a factor of 96626417?
False
Is 567970 a multiple of 264?
False
Is 426732342 a multiple of 17?
False
Is 757 a factor of 4381650746?
True
Is 3 a factor of 36284636?
False
Is 219 a factor of 2251056324?
True
Is 3 a factor of 703029888?
True
Is 2073607 a multiple of 3?
False
Is 1671596661 a multiple of 7?
True
Does 501 divide 10475409?
True
Is 19317811 a multiple of 37?
True
Is 3851653464 a multiple of 12?
True
Does 1021 divide 14861374?
False
Does 1891 divide 4108613?
False
Is 4351 a factor of 2530058639?
True
Does 423 divide 84429416?
False
Is 230 a factor of 1090235182?
False
Does 183 divide 67331007?
True
Is 67 a factor of 200903364?
False
Is 9711 a factor of 624331457?
False
Is 563046588 a multiple of 1413?
True
Is 511 a factor of 67224011?
False
Is 277957440 a multiple of 5463?
True
Is 755 a factor of 57084040?
True
Does 29 divide 322400250?
True
Is 118031236 a multiple of 305?
False
Does 3 divide 1622035?
False
Is 3047 a factor of 36158749?
True
Is 4440 a factor of 206633160?
True
Is 6440040 a multiple of 1068?
True
Is 9 a factor of 11080701?
True
Does 124 divide 54547543?
False
Is 89 a factor of 494598454?
True
Does 8 divide 849208205?
False
Is 2363 a factor of 68231625?
True
Does 87 divide 17145177?
True
Does 16 divide 1113856832?
True
Does 65 divide 362921663?
False
Does 3 divide 199824?
True
Does 75 divide 12758325?
True
Is 5567429 a multiple of 14?
False
Does 51 divide 1212321?
True
Does 12 divide 573935546?
False
Does 119 divide 54334924?
True
Does 317 divide 6855649318?
True
Is 196 a factor of 420471880?
False
Does 106 divide 43560594?
True
Is 51097072 a multiple of 788?
True
Is 16 a factor of 58669086?
False
Is 263031714 a multiple of 18?
True
Is 340904656 a multiple of 36?
False
Does 90 divide 66093660?
True
Is 53994084 a multiple of 5442?
False
Is 208001224 a multiple of 3379?
False
Does 338 divide 13860028?
True
Is 32878541 a multiple of 13?
False
Does 7 divide 45931648?
True
Is 702 a factor of 759813550?
False
Is 33066087 a multiple of 861?
False
Does 13266 divide 3058879129?
False
Is 66 a factor of 2375472?
True
Is 5217189 a multiple of 2?
False
Does 339 divide 1355456366?
False
Does 925 divide 30574025?
True
Does 3663 divide 285230374?
False
Is 221231360 a multiple of 502?
False
Is 643 a factor of 149759201?
True
Does 10 divide 158292803?
False
Is 151167380 a multiple of 4086?
False
Is 443278368 a multiple of 3606?
True
Is 18073996 a multiple of 139?
False
Is 69 a factor of 33488224?
False
Does 304 divide 233821904?
True
Does 236 divide 2144268856?
False
Does 333 divide 50812803?
True
Is 25593450 a multiple of 50?
True
Is 2352840 a multiple of 3?
True
Is 2692260 a multiple of 10?
True
Does 499 divide 420631843?
False
Is 115 a factor of 1654326635?
True
Is 54906399 a multiple of 129?
True
Does 935 divide 3890254
|
{
"pile_set_name": "DM Mathematics"
}
|
369?
-20076
What is next in 71, 47, 23, -1, -25?
-49
What is the next term in 2062, 2046, 2020, 1984, 1938, 1882, 1816?
1740
What is the next term in -1228, -1235, -1248, -1267, -1292, -1323, -1360?
-1403
What is next in -819, -1641, -2463, -3285?
-4107
What is next in -1, -41, -153, -373, -737, -1281, -2041, -3053?
-4353
What is next in -6, 14, 36, 60, 86, 114, 144?
176
What is next in 972, 1946, 2920, 3894?
4868
What is the next term in -39, -48, -67, -102, -159, -244, -363?
-522
What is the next term in -58879, -58888, -58911, -58954, -59023, -59124, -59263, -59446?
-59679
What is next in 19, 30, 49, 76, 111, 154?
205
What is next in -213, -427, -641, -855, -1069?
-1283
What is the next term in -130, -225, -326, -433?
-546
What is the next term in -29, -54, -79, -104, -129, -154?
-179
What comes next: -120, -471, -1054, -1869, -2916, -4195, -5706?
-7449
What comes next: -723, -2889, -6501, -11559, -18063, -26013, -35409?
-46251
What is the next term in 154, 157, 160, 163, 166, 169?
172
What is the next term in 30, 54, 96, 168, 282, 450, 684, 996?
1398
What is the next term in -1556, -3101, -4644, -6185, -7724?
-9261
What comes next: -209, -233, -257, -281?
-305
What is next in -91, -177, -261, -343, -423?
-501
What is next in -8, 170, 670, 1654, 3284, 5722, 9130, 13670?
19504
What comes next: -226, -907, -2042, -3631, -5674?
-8171
What is next in -14, -5, 2, 1, -14, -49, -110?
-203
What comes next: -193, -388, -583, -778, -973?
-1168
What is next in -189, -178, -157, -120, -61, 26, 147, 308?
515
What is next in 20, 48, 82, 122, 168, 220, 278?
342
What comes next: -430, -855, -1280, -1705?
-2130
What is next in 38, 45, 58, 77, 102, 133, 170?
213
What is the next term in 12, 34, 70, 120, 184?
262
What is next in 27, 45, 63?
81
What comes next: -19, -85, -195, -349, -547, -789?
-1075
What is the next term in 0, -15, -54, -129, -252, -435, -690, -1029?
-1464
What comes next: -4, -11, -18, -25, -32?
-39
What is next in 2, 3, -10, -43, -102?
-193
What is next in -346, -335, -324, -313?
-302
What comes next: -343, -682, -1031, -1396, -1783, -2198?
-2647
What comes next: 313, 400, 485, 568, 649?
728
What comes next: 48, 169, 372, 657, 1024?
1473
What is the next term in 22, 37, 48, 55, 58, 57?
52
What comes next: -75, -75, -77, -81, -87, -95?
-105
What is next in 154, 158, 162?
166
What is next in -234, -221, -192, -141, -62, 51?
204
What comes next: -1, 7, 25, 59, 115, 199?
317
What comes next: 1920, 3841, 5762, 7683, 9604?
11525
What is next in 1524, 1523, 1522, 1521, 1520?
1519
What comes next: 88, 74, 56, 34, 8, -22?
-56
What comes next: -65, -64, -65, -68?
-73
What is the next term in -24, -27, -28, -27, -24, -19?
-12
What comes next: -35694, -35695, -35696?
-35697
What comes next: -10, -16, -22, -28, -34, -40?
-46
What comes next: -1167, -2336, -3493, -4632, -5747?
-6832
What is the next term in -11, -6, 13, 52, 117, 214?
349
What comes next: -447, -446, -443, -438, -431, -422, -411?
-398
What is next in 7, 20, 47, 94, 167?
272
What comes next: 579, 571, 559, 543, 523, 499?
471
What comes next: 11, -4, -43, -118, -241, -424, -679, -1018?
-1453
What is next in 145, 303, 463, 625?
789
What is next in 74, 71, 68, 65?
62
What is next in -318, -322, -328, -336, -346?
-358
What comes next: -685, -1370, -2055, -2740, -3425?
-4110
What is next in -2, 0, 2?
4
What comes next: -438, -869, -1286, -1683, -2054?
-2393
What is next in 46, 43, 38, 31, 22, 11, -2?
-17
What is the next term in 152, 566, 1258, 2228, 3476?
5002
What is the next term in 449, 900, 1349, 1796, 2241, 2684, 3125?
3564
What is next in 6, 18, 46, 96, 174, 286, 438?
636
What is the next term in -240, -241, -242?
-243
What is the next term in -7, -57, -137, -253, -411?
-617
What is the next term in 572, 570, 568?
566
What is the next term in -6, -16, -24, -30, -34, -36, -36?
-34
What is next in 2866, 2865, 2864?
2863
What is the next term in -38, -49, -46, -23, 26, 107, 226, 389?
602
What is the next term in -199, -297, -399, -505, -615, -729, -847?
-969
What comes next: -36, -28, 2, 66, 176, 344?
582
What is the next term in -40, -101, -188, -313, -488, -725, -1036?
-1433
What is next in -31, -104, -233, -424, -683, -1016, -1429, -1928?
-2519
What is next in 420, 1687, 3800, 6759, 10564, 15215?
20712
What is next in -1129, -1117, -1095, -1057, -997, -909, -787, -625?
-417
What is the next term in -1173, -1175, -1177, -1179, -1181?
-1183
What comes next: 127, 105, 65, 1, -93, -223, -395?
-615
What comes next: 49, 93, 151, 223, 309, 409?
523
What is next in 1056, 1055, 1054, 1053, 1052?
1051
What comes next: -177, -346, -519, -696, -877, -1062, -1251?
-1444
What is next in -21116, -21117, -21120, -21125, -21132?
-21141
What is the next term in -81, -166, -245, -312, -361?
-386
What is next in 293, 295, 297, 299, 301, 303?
305
What is the next term in 9356, 18713, 28070, 37427, 46784, 56141?
65498
What is next in -60, -95, -132, -171?
-212
What comes next: 14, -1, -34, -91, -178, -301, -466, -679?
-946
What comes next: -463, -872, -1283, -1696?
-2111
What comes next: -187, -229, -259, -271, -259, -217?
-139
What comes next: 523, 1046, 1569, 2092, 2615, 3138?
3661
What is next in 336, 1342, 3020, 5370?
8392
What is the next term in -48, -95, -150, -219, -308, -423, -570, -755?
-984
What is next in 23, 88, 201, 362?
571
What is next in -52, -81, -98, -97, -72, -17, 74?
207
What comes next: -9, -47, -115, -213, -341, -499?
-687
What is the next term in 11, 46, 139, 320, 619, 1066, 1691, 2524?
3595
What is the next term in 2817, 2818, 2819, 2820, 2821?
2822
What is next in 659, 2634, 5925, 10532, 16455, 23694, 32249?
42120
What is next in 56, 46, 12, -58, -176, -354, -604, -938?
-1368
What is next in -6, -9, -12?
-15
What is the next term in -7767, -15532, -23295, -31056, -38815?
-46572
What is next in 13, 39, 103, 223, 417?
703
What comes next: -210, -221, -244, -285, -350?
-445
What comes next: -36, -49, -88, -165, -292?
-481
What comes next: 48, 98, 148, 198, 248?
298
What comes next: -755, -3026, -6809, -12104?
-18911
What is next in 142, 151, 174, 217, 286, 387, 526, 709?
942
What is the next term in 163, 159, 153, 145, 135?
123
What is next in -277, -291, -305, -319, -333, -347?
-361
What comes next: 342, 310, 278, 246, 214, 182?
150
What comes next: -38, -28, -2, 46, 122, 232, 382?
578
What comes next: -714, -705, -696, -687, -678?
-669
What comes next: -15, -42, -87, -150, -231, -330?
-447
What is the next term in 8, 10, 24, 62, 136, 258, 440, 694?
1032
What is next in -38, -60, -80, -98, -114, -128?
-140
What is next in 116, 459, 1030, 1829, 2856?
4111
What is the next term in -118, -233, -348?
-463
What comes next: 22, 25, 30, 37, 46?
57
What is next in 296, 590, 870, 1130, 1364, 1566, 1730, 1850?
1920
What comes next: 148, 159, 178, 205?
240
What comes next: -879, -886, -897, -912, -931?
-954
What is the next term in 28, 28, 42, 76, 136, 228, 358?
532
What is the next term in -146, -147, -150, -155?
-162
What is the next term in 30, -10, -88, -210, -382, -610?
-900
What is next in -13, -6, 7, 26?
51
What comes next: 22059, 22061, 22063, 22065, 22067?
22069
What is the next term in -6, -35, -110, -255, -494, -851, -1350?
-2015
What comes next: -7, -10, -17, -28, -43, -62?
-85
What comes next: -95, -119, -143, -167, -191, -215?
-239
What is next in 17, 33, 71, 137, 237, 377?
563
What is the next term in 69, 125, 181, 237?
293
What is next in 47, -262, -769, -1468, -2353?
-3418
What comes next: -3, 9, 25, 45?
69
What comes next: -12, -19, -28, -39, -52, -67?
-84
What is the next term in 155, 140, 115, 80, 35, -20?
-85
What comes next: -2769, -5532, -8295?
-11058
What is next in 3159, 6291, 9421, 12549, 15675, 18799?
21921
What is next in 20, 12, 4?
-4
What is the next term in 38, 117, 240, 407?
618
What is next in 39107, 39106, 39105?
39104
What is the next term in -12, 4, 38, 96, 184?
308
What is next in 17, 26, 49, 92, 161?
262
What is next in -571, -1130, -1681, -2218, -2735?
-3226
What is next in 414, 415, 416?
417
What comes next: 38, 151, 342, 611?
958
What comes next: 968, 974, 990, 1022, 1076, 1158, 1274?
1430
What is the next term in 20, 45, 72, 101, 132, 165, 200?
237
What is the next term in 93, 86, 77, 66, 53, 38, 21?
2
What is the next term in -213, -231, -247, -261,
|
{
"pile_set_name": "DM Mathematics"
}
|
*c - z + 21*c + 40 - 81*c**2. Determine m(n(j)).
13122*j**4 - 324*j**3 + 2*j**2
Let w(t) = 2054*t**2 + 115*t + 6. Let c be w(11). Let j(v) = -249805 + 4*v + c. Let p(q) = -2*q**2 + 3 - 3. Calculate j(p(o)).
-8*o**2
Let f(c) be the third derivative of -c**5/60 + 416*c**2. Let w(x) = x - 6 + 6 + 7*x. Determine w(f(l)).
-8*l**2
Let k be 376/7 - (-10)/(-175)*-5. Let w(o) = -239 + k*o**2 + 239 - 4*o. Let a(y) = y**2. Give w(a(l)).
54*l**4 - 4*l**2
Let r(q) = 2*q. Suppose -57 = 5*t - 497. Let p = t - 83. Let d(l) = 119*l - 51. Let a(v) = -12*v + 5. Let w(u) = p*d(u) + 51*a(u). Determine r(w(c)).
-34*c
Let q(m) = m. Let d(c) = 3*c**2 + 0*c + 1078 - 893 + 0*c. What is q(d(h))?
3*h**2 + 185
Let a(y) = -y + 433. Let f(v) = 82*v. Let x(t) = -342*t. Let i(n) = 25*f(n) + 6*x(n). What is a(i(h))?
2*h + 433
Let f(a) = -a**2. Let j(d) be the first derivative of 6*d**2 + 113*d - 1841. Calculate j(f(p)).
-12*p**2 + 113
Let z(g) be the first derivative of -2*g**2 + 1. Let d(h) = -13*h. Let b(k) = 224*k. Let f(s) = -2*b(s) - 35*d(s). Determine f(z(y)).
-28*y
Let d(s) = 1722*s. Let i(u) = -36*u**2 + 89*u**2 - 29*u**2 - 26*u**2. Give i(d(q)).
-5930568*q**2
Let d(k) be the third derivative of 17*k**4/24 + 594*k**2. Let n(u) = -u**2 - 8*u. Give d(n(a)).
-17*a**2 - 136*a
Let l(d) = -48*d**2. Let p(o) = -44*o - 5. Let u(n) = -124*n - 14. Let y(a) = 14*p(a) - 5*u(a). Determine l(y(r)).
-768*r**2
Let y(v) = 2*v**2. Let g(n) = -1880*n - 48*n - 932*n - 882*n + 250*n. Determine g(y(c)).
-6984*c**2
Let b(p) be the third derivative of -p**5/20 + 2358*p**2 + 2*p. Let f(l) = 87*l**2 + 6. Give f(b(d)).
783*d**4 + 6
Let p(c) = -61*c**2 + 3*c - 268. Let d(b) = -70*b. Determine p(d(n)).
-298900*n**2 - 210*n - 268
Let c(f) = 11*f**2. Let x(g) = 30*g**2 + 306*g. Let r(t) = 6*t**2 + 60*t. Let k(p) = -16*r(p) + 3*x(p). What is k(c(i))?
-726*i**4 - 462*i**2
Let l(r) = -7*r. Let d(u) = -8*u. Let b(a) = 6*d(a) - 7*l(a). Let v(t) = -22*t. Let f(y) = -6*b(y) - 2*v(y). Let j(p) = 2*p. Determine j(f(h)).
76*h
Let b(h) = 106*h**2 - h. Let u(k) = -511842*k. Give b(u(p)).
27770116694184*p**2 + 511842*p
Let t(q) = -9*q. Let z(k) = 6*k**2 + 4*k + 4. Let v(y) = -18*y**2 - 14*y - 14. Suppose -5*c - c = -42. Let j(x) = c*z(x) + 2*v(x). Calculate t(j(o)).
-54*o**2
Let i(w) = -2*w. Let m(o) = -46*o - 463302. Calculate i(m(y)).
92*y + 926604
Let u(k) = -1568864*k. Let z(f) = 4*f**2. Give z(u(h)).
9845337001984*h**2
Let h(y) = 1055527*y**2. Let b(v) = -25*v**2. Calculate b(h(w)).
-27853431193225*w**4
Let n(j) = 4*j**2 - j**2 - 8*j**2 + j**2. Let z(q) be the first derivative of -43*q**3/3 + q**2/2 - 665. Calculate z(n(f)).
-688*f**4 - 4*f**2
Let b(h) = 11*h**2. Let l(n) = 514 + 569 + 6*n - 1041. Give l(b(m)).
66*m**2 + 42
Let y(u) = 24448*u**2 - 4*u - 33. Let o(p) = 7*p**2. Calculate y(o(w)).
1197952*w**4 - 28*w**2 - 33
Let t(c) = -3*c - 1110. Let x(h) = 4800*h. Give x(t(w)).
-14400*w - 5328000
Let v(k) be the third derivative of 7*k**4/24 - 277*k**2 + k. Let g(w) = -2*w + 17. Calculate g(v(j)).
-14*j + 17
Let r(o) = 143*o**2 + 115*o**2 + 252*o**2. Let f(j) = -15*j**2. Give r(f(b)).
114750*b**4
Let b(a) = -12*a**2 - 849. Let r(o) = -259*o. Give b(r(l)).
-804972*l**2 - 849
Let m(d) be the first derivative of 3*d**2/2 + 400. Let x(i) be the third derivative of -i**4/12 - 53*i**3/6 + 110*i**2. Calculate x(m(s)).
-6*s - 53
Let l(m) = 1592*m**2. Let a(f) = 228551*f. What is a(l(o))?
363853192*o**2
Let z(c) = -c**2. Let y(h) be the second derivative of 0*h**2 - 71*h + 86/3*h**3 + 0. Determine z(y(t)).
-29584*t**2
Let m(f) = -273*f + 812*f - 275*f - 276*f. Let c(w) = 4*w**2 + w. Give m(c(x)).
-48*x**2 - 12*x
Let i(z) = 30*z + 11. Let v(n) = 10*n + 4. Let j(y) = -4*i(y) + 11*v(y). Let o = -636 - -653. Let h(d) = 15 + 29*d**2 - 25*d**2 - 32 + o. Calculate h(j(p)).
400*p**2
Let a(q) = 20*q**2. Let l(x) = -12*x + 53. Let k(u) = -7*u + 29. Let d(v) = -11*k(v) + 6*l(v). What is a(d(s))?
500*s**2 - 200*s + 20
Let u(p) = 6593319*p. Let v(d) = 5*d. Calculate u(v(a)).
32966595*a
Let q(z) = 396*z**2. Let g(k) = k**2. Suppose 3*d = -n + 10, -5*n - 2 = 4*d - 8. Let a(r) = n*q(r) + 990*g(r). Let m(y) = y. Give a(m(v)).
198*v**2
Let h(t) = -3091186*t. Let a(l) = -4*l**2. Calculate h(a(q)).
12364744*q**2
Let g(n) = -12*n**2 + n. Let o(i) = 202223*i. What is g(o(u))?
-490729700748*u**2 + 202223*u
Let s(d) = d**2 + 13*d. Let p = -98 - -128. Let z(v) = 13*v + 15*v - p*v. Give s(z(u)).
4*u**2 - 26*u
Let h(s) be the third derivative of -11*s**8/6720 + s**5 - 9*s**2 + 3*s. Let t(b) be the third derivative of h(b). Let f(j) = -2*j**2. Give t(f(k)).
-132*k**4
Let s = 470 + -425. Let d(n) = 146 + n - s - 50 - 51. Let a(t) = 9*t**2. Determine a(d(m)).
9*m**2
Let i(c) be the second derivative of c**5/20 - 3*c**2/2 + 28*c. Let p(a) be the first derivative of i(a). Let t(o) = -129*o + 129*o - 3*o**2. Determine t(p(k)).
-27*k**4
Let z(b) = -10*b. Let s(g) be the first derivative of -2*g**3/3 + 37*g + 96. Let l(r) be the first derivative of s(r). What is z(l(d))?
40*d
Let o(v) = -v**2 - 2*v**2 + 2*v**2. Let k = 226 + -150. Let j(u) = -4*u - k*u**2 + 4*u + 111*u**2. Determine o(j(h)).
-1225*h**4
Let i(f) = -7*f**2 + 22*f**2 - f**2 - 8*f**2 - 8*f**2. Let c(m) = 20*m**2 + 10*m. Let l(d) = -d. Let j(s) = c(s) + 10*l(s). Calculate j(i(h)).
80*h**4
Let i(l) = -15105*l. Let d(w) = 10296*w**2. Determine i(d(n)).
-155521080*n**2
Let a(c) = 318*c**2 - 310*c**2 - 6*c**2. Let n(i) = 6471*i**2. Give a(n(s)).
83747682*s**4
Let y(k) = 56*k. Let u(q) = 613474*q**2. Determine y(u(m)).
34354544*m**2
Let k(i) = 205238*i**2 + 2. Let s(w) = 17*w**2. Determine k(s(q)).
59313782*q**4 + 2
Let t(z) be the third derivative of 5*z**4/24 - 686*z**2 - 3*z. Let r(g) be the first derivative of -11*g**2/2 - 1. Determine t(r(k)).
-55*k
Let m(h) = 37*h + 180. Let w(a) = -33*a - 181. Let p(g) = 8*m(g) + 9*w(g). Let s(u) = 8*u. Calculate s(p(l)).
-8*l - 1512
Let f(p) = -111*p**2 + 306*p. Let g(i) = -47*i**2. Calculate f(g(m)).
-245199*m**4 - 14382*m**2
Let r(j) = -40410*j. Let n(u) = 776*u. What is r(n(x))?
-31358160*x
Let f(x) = -21*x**2 + 6*x. Let m(c) = -3*c**2 + 6*c. Let j(a) = -8*a**2 + 18*a. Let t(l) = -j(l) + 3*m(l). Give t(f(i)).
-441*i**4 + 252*i**3 - 36*i**2
Let c(x) = -3*x - 18. Let l(r) = -41*r - 154. Let z(m) = -81*m - 385. Let a(i) = 5*l(i) - 2*z(i). Give a(c(q)).
129*q + 774
Let p(i) = 2*i - 5*i + i. Let w(d) be the first derivative of 2*d**3/3 - 11864. What is w(p(l))?
8*l**2
Let j = 6 - -1. Let g(t) = -j*t - t + 7*t. Let s(d) be the first derivative of 13*d**3/3 + 2. What is g(s(v))?
-13*v**2
Let t(m) = -107*m. Let l(u) = -539186 + 539186 - 8*u. Calculate t(l(i)).
856*i
Let a(r) = 488*r + 1. Let l(y) = -21*y + 18. Let t(j) = 4*j - 3. Let p(x) = l(x) + 6*t(x). What is p(a(d))?
1464*d + 3
Let b(n) = 5*n. Let l(v) = -15*v + 2. Let i(o) = -o + 2. Suppose -12*j - j + 13 = 0. Let m(f) = j*l(f) - i(f). Give m(b(h)).
-70*h
Let d(z) = -2*z. Let u(s) = s**2 + 5*s + 2. Let h be 15/(-2)*8/12. Let q be u(h). Let i(m) = 6 - q*m - 8 + 2. Determine d(i(c)).
4*c
Let i(o) = -6*o - 14. Let b(q) = -256789*q. Calculate b(i(a)).
1540734*a + 3595046
Let p(n) = -294*n**2 + 18 - 19 + 204*n**2. Let k(j) = 8*j. Give p(k(q)).
-5760*q**2 - 1
Let z(n) = 2*n**2. Let i(a) = -466*a - 435. Let r(k) = 621*k + 597. Let x(j) = -11*i(j) - 8*r(j). Calculate x(z(l)).
316*l**2 + 9
Let b(f) = -10*f. Let v(q) = -14078805*q**2. Calculate v(b(m)).
-1407880500*m**2
Let z(o) = 2*o**2. Let j(h) be the third derivative of 23*h**6/360 - 19*h**3/6 + 2*h**2 - 2. Let s(n) be the first derivative of j(n). Give z(s(d)).
1058*d**4
Let b be 15/9 + (-8)/(-24). Suppose 4*h - 2*h = i + 332, 4*h = -b*i + 648. Let a(o) = h*o - 79*o - 83*o. Let g(m) = 2*m**2 + 24. What is g(a(f))?
8*f**2 + 24
Let b(j) = j. Suppose 36*h = 33*h + 30. Suppose -3*f - h = -8*f. Let a(s) = 103*s**2 - 49*s**f - 51*s**2. Give b(a(c)).
3*c**2
Let c(q) = 18*q**2 - 564*q - 150. Let t(j) = 7*j. Determine t(c(w)).
126*w**2 - 3948*w - 1050
Let j(m) = -16*m. Let t(r) = 3*r + 18. Let h(y) = 8*y + 63. Let d(k) = -4*h(k) + 14*t(k). What is d(j(f))?
-160*f
Let j(b) = -5130*b. Let r(x) = 13552*x**2. Give r(j(u)).
356646628800*u**2
Let o(f) = 41*f - 14112. Let z(v) = -v. Calculate o(z(r)).
-41*r - 14112
Let r(z) = -2 + 0 + 13*z**2 + 2. Let q be 0/1 - (-4
|
{
"pile_set_name": "DM Mathematics"
}
|
96, 3558, 6962?
12044
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2172
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45652
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311000
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75034
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92291
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3992663
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145278
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796
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50589
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10130
What is the next term in 943, 2181, 3419, 4657?
5895
What is next in 1168, 2229, 3290, 4351, 5412?
6473
What is the next term in -311, -561, -821, -1091, -1371?
-1661
What is next in -1759, -1767, -1765, -1741, -1683, -1579, -1417?
-1185
What comes next: -89602, -179199, -268796, -358393, -447990?
-537587
What is next in 4643, 4645, 4649, 4655, 4663, 4673, 4685?
4699
What is the next term in 281345, 281347, 281349?
281351
What is next in 500, 578, 740, 1010, 1412, 1970, 2708, 3650?
4820
What is the next term in -581070, -581067, -581064, -581061, -581058, -581055?
-581052
What is the next term in -279, -594, -993, -1518, -2211?
-3114
What is next in -778, -789, -808, -835, -870?
|
{
"pile_set_name": "DM Mathematics"
}
|
replacement from hhhhhhhhhhhp. What is prob of sequence hh?
5/6
Calculate prob of sequence bub when three letters picked without replacement from pbbbppbupbbubppbu.
7/170
Calculate prob of sequence fuf when three letters picked without replacement from ufuufuufufuuufuuufu.
65/969
Four letters picked without replacement from {l: 1, j: 7}. Give prob of sequence jjjj.
1/2
Calculate prob of sequence bh when two letters picked without replacement from hhjgb.
1/10
Calculate prob of sequence dd when two letters picked without replacement from {x: 2, d: 2}.
1/6
Calculate prob of sequence sp when two letters picked without replacement from {s: 3, p: 12}.
6/35
What is prob of sequence zs when two letters picked without replacement from {r: 1, z: 2, s: 7}?
7/45
Three letters picked without replacement from {n: 1, d: 2, q: 2, b: 1, o: 1, x: 2}. What is prob of sequence odd?
1/252
Calculate prob of sequence okra when four letters picked without replacement from {k: 3, j: 3, o: 2, r: 5, y: 3, a: 3}.
5/5168
Calculate prob of sequence uee when three letters picked without replacement from vejeevetuve.
2/99
Three letters picked without replacement from {h: 1, e: 1, f: 1}. What is prob of sequence hef?
1/6
Calculate prob of sequence znpn when four letters picked without replacement from {p: 4, u: 1, w: 1, n: 7, z: 2}.
2/195
Calculate prob of sequence fnnn when four letters picked without replacement from {f: 2, n: 4}.
2/15
Two letters picked without replacement from iinzaeyy. Give prob of sequence ea.
1/56
Four letters picked without replacement from rrrzzr. What is prob of sequence zzrr?
1/15
Calculate prob of sequence hhhh when four letters picked without replacement from hhhhthhthhht.
14/55
Two letters picked without replacement from kjj. What is prob of sequence kj?
1/3
Calculate prob of sequence xx when two letters picked without replacement from {x: 2, h: 4, g: 1, m: 2, e: 3}.
1/66
Two letters picked without replacement from ggdswcg. Give prob of sequence dw.
1/42
What is prob of sequence tm when two letters picked without replacement from {m: 1, z: 2, t: 3, y: 1}?
1/14
Three letters picked without replacement from erreeeeerereereeere. What is prob of sequence rrr?
20/969
Three letters picked without replacement from ukkuu. What is prob of sequence uku?
1/5
Two letters picked without replacement from hwh. Give prob of sequence hh.
1/3
Calculate prob of sequence khzo when four letters picked without replacement from {x: 7, k: 1, o: 5, z: 1, h: 1}.
1/6552
What is prob of sequence auua when four letters picked without replacement from uauaaauaaaaaua?
45/1001
Calculate prob of sequence ppz when three letters picked without replacement from {v: 2, q: 1, z: 2, a: 4, p: 3}.
1/110
Three letters picked without replacement from bxyx. Give prob of sequence byx.
1/12
What is prob of sequence rsgp when four letters picked without replacement from sorgpeoe?
1/1680
Calculate prob of sequence wwz when three letters picked without replacement from {z: 5, w: 3}.
5/56
Four letters picked without replacement from oaqqqxqqss. Give prob of sequence aosq.
1/504
What is prob of sequence cbcc when four letters picked without replacement from {c: 4, b: 2}?
2/15
Calculate prob of sequence he when two letters picked without replacement from {h: 3, e: 9}.
9/44
Two letters picked without replacement from {m: 10}. What is prob of sequence mm?
1
Calculate prob of sequence ha when two letters picked without replacement from {h: 3, p: 5, d: 3, x: 1, a: 1, n: 1}.
3/182
Two letters picked without replacement from qoqq. What is prob of sequence oq?
1/4
Three letters picked without replacement from eeegeeegeg. What is prob of sequence gee?
7/40
Calculate prob of sequence uu when two letters picked without replacement from uuss.
1/6
Four letters picked without replacement from cfdfcdtdfcf. Give prob of sequence cdtf.
1/220
Calculate prob of sequence akak when four letters picked without replacement from kaakaaaaakakkakaaa.
11/204
Four letters picked without replacement from {c: 7}. Give prob of sequence cccc.
1
Two letters picked without replacement from {q: 11, j: 9}. What is prob of sequence jj?
18/95
Three letters picked without replacement from yoyoy. What is prob of sequence yyy?
1/10
What is prob of sequence fgp when three letters picked without replacement from pffyyxpyygp?
1/165
Four letters picked without replacement from {i: 1, n: 6, q: 1, z: 1, t: 5}. What is prob of sequence zqnn?
5/4004
Two letters picked without replacement from {u: 2, c: 2, q: 2, i: 2}. Give prob of sequence cu.
1/14
What is prob of sequence esh when three letters picked without replacement from {f: 1, y: 1, e: 1, h: 1, s: 1}?
1/60
Two letters picked without replacement from {b: 9, r: 2, m: 2}. What is prob of sequence bb?
6/13
What is prob of sequence rnmf when four letters picked without replacement from {r: 3, f: 1, m: 1, n: 1, d: 1}?
1/280
Two letters picked without replacement from {t: 16, f: 2}. Give prob of sequence tf.
16/153
Two letters picked without replacement from uppppppppppp. Give prob of sequence pu.
1/12
Two letters picked without replacement from {e: 2, d: 2, a: 1, b: 4}. Give prob of sequence eb.
1/9
Calculate prob of sequence qccq when four letters picked without replacement from {c: 3, q: 3}.
1/10
What is prob of sequence fpi when three letters picked without replacement from piramfi?
1/105
Calculate prob of sequence shph when four letters picked without replacement from shptthphshhhhh.
4/429
Two letters picked without replacement from ghghhg. Give prob of sequence gg.
1/5
What is prob of sequence ff when two letters picked without replacement from {f: 1, i: 11, l: 1, s: 3, j: 2}?
0
Four letters picked without replacement from {i: 5, f: 5}. What is prob of sequence iiii?
1/42
What is prob of sequence offo when four letters picked without replacement from ofoooofoffofoooo?
55/1092
Four letters picked without replacement from ttttvvtttvttvt. Give prob of sequence vvvt.
10/1001
Calculate prob of sequence kl when two letters picked without replacement from {i: 1, p: 4, l: 1, k: 5, o: 1}.
5/132
Four letters picked without replacement from hhjhnhnuu. Give prob of sequence unnu.
1/756
Three letters picked without replacement from {n: 2, a: 4, q: 1, m: 1, t: 3, u: 7}. Give prob of sequence unq.
7/2448
Two letters picked without replacement from jsjaljgsojagj. Give prob of sequence aj.
5/78
Four letters picked without replacement from nqvxqrnee. What is prob of sequence enxe?
1/756
Calculate prob of sequence xdf when three letters picked without replacement from ffdddxl.
1/35
Calculate prob of sequence yz when two letters picked without replacement from {w: 1, n: 1, g: 1, y: 1, z: 1, v: 2}.
1/42
What is prob of sequence lp when two letters picked without replacement from psccuccpplcpscicpccp?
3/190
What is prob of sequence eee when three letters picked without replacement from eeeee?
1
What is prob of sequence pp when two letters picked without replacement from tqpqtthtpqpptpqq?
1/12
What is prob of sequence gg when two letters picked without replacement from ggrrgr?
1/5
Four letters picked without replacement from fffggfqgdf. What is prob of sequence fgqf?
1/84
Four letters picked without replacement from lrllmra. Give prob of sequence mlra.
1/140
Four letters picked without replacement from {y: 9, n: 11}. Give prob of sequence nnyy.
22/323
Calculate prob of sequence jdg when three letters picked without replacement from jjgjdgddgdgjdd.
4/91
Two letters picked without replacement from iccccciiciccccccccc. What is prob of sequence ii?
2/57
Two letters picked without replacement from nlbbnnbbnan. Give prob of sequence nb.
2/11
Four letters picked without replacement from lqlgilllegllllqlill. Give prob of sequence gell.
11/3876
What is prob of sequence ffff when four letters picked without replacement from {f: 7, w: 5}?
7/99
Calculate prob of sequence nr when two letters picked without replacement from rwrwrrwwrrrwwwkwknrr.
9/380
Calculate prob of sequence qj when two letters picked without replacement from jbjjaqjaaaaba.
1/39
Two letters picked without replacement from cyooqqqiycciorqiqqc. What is prob of sequence cc?
2/57
What is prob of sequence rrhp when four letters picked without replacement
|
{
"pile_set_name": "DM Mathematics"
}
|
i(b) = -186*b**2 + 4770*b - 2929. Determine i(25).
71
Let o(v) = 12570*v - 87546. Determine o(7).
444
Let f(z) = -z**3 + 667*z**2 - 6561*z - 5906. Give f(657).
7
Let x(l) = -27620*l - 3590621. Determine x(-130).
-21
Let m(w) = w**3 - 6*w**2 - 109*w - 306. What is m(-3)?
-60
Let u(o) = o**2 - 17366*o - 138933. What is u(-8)?
59
Let d(o) = -35*o**2 + 465*o - 142. Give d(13).
-12
Let u(d) = -18*d**2 - 137*d - 480. Give u(-6).
-306
Let h(q) = 14772*q + 88584. Determine h(-6).
-48
Let d(m) = -m**3 - 208*m**2 - 8340*m - 1282. Give d(-54).
14
Let l(t) = -165*t**2 - 5229*t - 24410. Calculate l(-26).
4
Let r(u) = -8268*u - 140539. What is r(-17)?
17
Let a(z) = -289*z + 30404. Determine a(105).
59
Let g(a) = a**3 - 293*a**2 + 172*a - 50412. What is g(293)?
-16
Let s(k) = 3*k**3 + 71*k**2 - 186*k - 269. Give s(-26).
-165
Let a(t) = 665*t + 3913. Calculate a(-6).
-77
Let i(d) = -1416*d + 9891. Give i(7).
-21
Let t(v) = 20*v**2 + 1825*v + 445. Calculate t(-91).
-10
Let w(v) = -202*v - 10511. What is w(-50)?
-411
Let j(g) = 8*g**3 + 3454*g**2 - 925*g - 26359. Determine j(-432).
-7
Let l(j) = -503*j - 20124. Give l(-40).
-4
Let m(h) = 6*h**3 + 265*h**2 - 576*h - 154. What is m(-46)?
3066
Let h(y) = 5*y**3 + 239*y**2 + 1066*y + 1471. Determine h(-43).
9
Let v(y) = -18402*y + 55259. Determine v(3).
53
Let k(b) = 17394*b - 2522132. Calculate k(145).
-2
Let p(t) = -16*t**2 - 432*t - 8. Calculate p(5).
-2568
Let k(f) = 143*f + 25298. Calculate k(-173).
559
Let m(v) = -v**3 + 52*v**2 - 801*v + 41652. Calculate m(52).
0
Let o(r) = -r**3 + 13*r**2 + 26*r + 3. Determine o(-6).
531
Let t(b) = b**3 + 546*b**2 + 28293*b - 642. Give t(-58).
-4
Let g(r) = 4223*r + 4172367. Calculate g(-988).
43
Let a(r) = -77*r + 6901. Determine a(95).
-414
Let p(s) = -s**3 - 92*s**2 - 63*s + 2488. Determine p(-91).
-60
Let u(z) = 2*z**2 - 181*z - 2517. Calculate u(103).
58
Let z(j) = -795*j + 34879. Determine z(44).
-101
Let f(h) = h**2 - 2*h - 43909. Determine f(-209).
190
Let r(m) = -220*m**2 - 368*m + 113. What is r(-4)?
-1935
Let b(t) = -47*t**2 + 2415*t - 11. Give b(52).
-1519
Let t(b) = 631*b - 11679. Calculate t(16).
-1583
Let f(g) = -g**3 + 392*g**2 - 13764*g - 1158. Determine f(353).
-99
Let w(d) = 2*d**3 + 136*d**2 + 2182*d + 12. Give w(-42).
96
Let w(x) = x**2 + 147*x + 2564. What is w(-104)?
-1908
Let n(m) = 3*m**3 + 1628*m**2 + 4297*m - 12493. Calculate n(-540).
-73
Let b(y) = 104930*y - 2203525. Calculate b(21).
5
Let w(k) = 2*k**3 - 363*k**2 - 774*k + 107740. Calculate w(182).
-4
Let g(l) = -48102*l - 48103. Calculate g(-1).
-1
Let g(f) = 90*f**3 - 9000*f**2 - 7*f + 52. Give g(100).
-648
Let z(n) = 188*n**3 + 3*n**2 - 58*n + 54. What is z(1)?
187
Let k(a) = -6*a**3 + 65*a**2 - 201*a + 1498. Determine k(10).
-12
Let c(t) = 9307*t - 93066. Give c(10).
4
Let z(q) = -10448*q + 52246. Determine z(5).
6
Let u(s) = -212*s**2 + 4859*s - 3. What is u(23)?
-394
Let c(s) = 111*s**3 + 14206*s**2 - 288*s - 4079. Determine c(-128).
17
Let n(d) = -207*d + 9640. Determine n(60).
-2780
Let f(b) = -3711*b + 33408. Calculate f(9).
9
Let g(b) = 193*b + 7245. Calculate g(-39).
-282
Let k(w) = -w**3 - 416*w**2 - 21474*w + 29388. Determine k(-62).
0
Let o(l) = l**3 - 7*l**2 - 215*l + 185. Calculate o(18).
-121
Let i(c) = -c**2 + 106*c - 2062. What is i(68)?
522
Let v(l) = 15342*l - 91876. Calculate v(6).
176
Let v(b) = -21*b**2 + 497*b + 12. Give v(25).
-688
Let k(j) = 657*j - 19557. Give k(30).
153
Let v(y) = -y**3 - 26*y**2 - 729*y - 16242. Determine v(-23).
-1062
Let n(m) = -31*m**3 - 429*m**2 + 88*m - 18. Calculate n(-14).
-270
Let l(u) = -39*u**2 - 1243*u + 327. Determine l(-32).
167
Let q(s) = s**2 + 48*s + 606. Calculate q(-11).
199
Let f(p) = 81*p**2 - 15863*p - 2554. Calculate f(196).
-6
Let g(b) = -b**3 - 9962*b**2 + 89743*b - 31. Determine g(9).
5
Let f(v) = 3717*v + 89215. Determine f(-24).
7
Let i(x) = 47*x**3 + 244*x**2 + 49*x + 16. Calculate i(-5).
-4
Let k(b) = 27*b**3 - 157*b**2 - 13*b + 5. Determine k(6).
107
Let z(d) = -29257*d - 614390. What is z(-21)?
7
Let z(l) = -3*l**2 + 32608*l - 4251985. Determine z(132).
-1
Let o(n) = 2*n**2 + 2418*n + 24009. Determine o(-10).
29
Let s(r) = 470*r + 4750. Determine s(-10).
50
Let s(w) = -11*w**3 - 877*w**2 - 657*w - 1985. Give s(-79).
-10
Let o(s) = -s**3 + 125*s**2 - 500*s + 1846. Determine o(121).
-90
Let z(n) = -n**3 + 15*n**2 + 7*n - 89. Determine z(0).
-89
Let u(y) = 3*y**3 + 60*y**2 + 181*y + 474. Give u(-17).
-2
Let n(j) = j**3 - 53*j**2 - 17*j + 3195. Determine n(52).
-393
Let b(a) = 2*a**3 - 423*a**2 + 643*a - 2655. What is b(210)?
75
Let t(c) = 490152*c - 1960603. What is t(4)?
5
Let o(z) = z**2 + 270*z + 4716. Give o(-18).
180
Let w(j) = j**3 + 9*j**2 + 3048*j + 15133. Calculate w(-5).
-7
Let g(x) = -11*x**3 - 2385*x**2 + 442*x + 1744. Determine g(-217).
8
Let k(m) = -2*m**3 + 324*m**2 + 234*m - 37484. Calculate k(162).
424
Let h(c) = 2*c**3 + 124*c**2 + 130*c - 506. Calculate h(-61).
-994
Let f(k) = -47979*k - 2782771. Calculate f(-58).
11
Let c(x) = -11*x**2 - 2489*x - 4929. What is c(-2)?
5
Let b(v) = -114*v**2 - 1393*v - 35. Calculate b(-12).
265
Let t(n) = -n**2 - 111*n + 1164. Give t(17).
-1012
Let s(h) = 6263*h + 1002084. Determine s(-160).
4
Let o(u) = -18*u**2 + 1162*u + 4919. Calculate o(-4).
-17
Let x(g) = -27283*g + 682018. Determine x(25).
-57
Let h(w) = w**3 + 34*w**2 - 308*w + 58. Calculate h(-41).
919
Let p(n) = -n**2 - 94*n + 9346. Determine p(62).
-326
Let k(x) = x**2 + 303*x - 1560. Calculate k(-308).
-20
Let g(k) = 6984*k - 195558. Determine g(28).
-6
Let r(q) = 23663*q - 686229. Determine r(29).
-2
Let w(v) = -v**2 + 5444*v + 87161. Give w(-16).
-199
Let x(u) = u**3 - 55*u**2 + 128*u - 14415. Calculate x(57).
-621
Let q(b) = 4*b**2 + 51*b - 293. Calculate q(-17).
-4
Let y(q) = -5*q**2 + 44*q + 1085. What is y(14)?
721
Let i(b) = -7*b**2 - 3521*b + 21372. Calculate i(6).
-6
Let l(z) = -2*z**2 + 2210*z + 836173. Determine l(-298).
-15
Let k(g) = g**2 + 6538*g + 285739. What is k(-44)?
3
Let q(u) = u**3 - 2*u**2 - 4*u - 79. Calculate q(-11).
-1608
Let t(f) = f**3 - 444*f**2 + 39891*f - 5092. Determine t(319).
12
Let n(v) = 103*v + 9906. Determine n(-96).
18
Let c(w) = w**2 - 54*w - 1251. Calculate c(63).
-684
Let n(i) = -i**2 + 323*i - 11456. Calculate n(39).
-380
Let o(l) = -35*l**2 - 296*l + 487. What is o(-20)?
-7593
Let m(b) = -140*b + 2577. Give m(47).
-4003
Let o(c) = c**3 + 38*c**2 + 35*c + 260. Calculate o(-37).
334
Let l(x) = 21*x**3 + 2686*x**2 - 2964*x + 388. Give l(-129).
1
Let p(y) = 4*y**3 + 12*y**2 - 124*y - 449. Calculate p(-4).
-17
Let k(u) = 42*u**2 - 898*u - 2386. Determine k(24).
254
Let f(m) = 31856*m + 95558. Calculate f(-3).
-10
Let y(l) = -1134*l - 959. Give y(-3).
2443
Let w(l) = l**3 - l**2 + 143*l - 541. What is w(4)?
79
Let q(w) = 304*w - 1223. What is q(5)?
297
Let f(u) = u**3 + 169*u**2 + 6899*u - 67. Determine f(-69).
2
Let b(q) = 423*q - 1438. What is b(3)?
-169
Let r(f) = 4*f**3 + 38*f**2 + 60*f + 68. Give r(-8).
-28
Let x(v) = -6*v**2 + 2450*v + 4903. Give x(-2).
-21
Let n(o) = 89163*o + 535141. Calculate n(-6).
163
Let x(d) = -3*d**3 + 43*d**2 - 66*d + 13. What is x(13)?
-169
Let r(s) = 12*s**2 - 1711*s - 31015. What is r(-18)?
3671
Let l(q) = -82*q + 1833. What is l(26)?
-299
Let a(u) = -6*u**2 + 120*u + 8032. Give a(48).
-32
Let n(f) = 4626*f + 14043. Give n(-3).
165
Let b(q) = -961*q**2 - 4783*q + 99. Calculate b(-5).
-11
Let i(q) = 136*q**2 + 1001*q + 31. Give i(-7).
-312
Let c(r) = 2*r**3 - 25*r**2 - 905*r + 9092. Calculate c(10).
-458
Let z(w) = 27678*w + 4566863. Calculate z(-165).
-7
Let n(k) = 450*k - 5944. What is n(12)?
-544
Let z(j) = 74*j**2 + 601*j - 2317. What is z(4)?
1271
Let t(o) = -13210*o + 53819. Calculate t(4).
979
Let r(n) = -4*n**2 + 744*n + 32827. What is r(-37)?
-177
Let o(l) = l**2 + 760147*l + 2280428. What is o(-3)?
-4
Let y(f) = -f**3 - 81*f**2 - 502*f - 263. What is y(-6)?
49
Let j(k) = 2*k**2 - 6902*k - 34565. Determine j(-5).
-5
Let k(l) = 789*l + 10282. Determine k(-16).
-2342
Let l(d) = 3*d**2 - 188*d - 1695. Calculate l(71).
80
Let p(l) = 144*l + 7802. What is p(-56)?
-262
Let p(v) = 57*v**2 + 12818*v + 11290. Determine p(-224).
90
Let j(k) = -11*k**2 - 28*k + 160. What is j(-15)?
-1895
Let o(s) = -s**3 - 219*s**2 - 5763*s - 17578. C
|
{
"pile_set_name": "DM Mathematics"
}
|
z = -16 + 35. Let k = z + 50. Is 24 a factor of k?
False
Let m(c) = c - 1. Let l(p) = -3*p + 3. Let q(w) = -l(w) - 2*m(w). Suppose 0*n = 3*n + 5*i - 8, i = 5*n - 32. Does 4 divide q(n)?
False
Is (2 - 1)/(4/324) a multiple of 23?
False
Suppose -4*d - d - 5 = 0, a + 2*d - 1 = 0. Is 3 a factor of a?
True
Let d(a) = 20*a - 1. Let k be ((-20)/(-35))/(4/14). Is d(k) a multiple of 13?
True
Suppose -3*l = -309 - 147. Is 38 a factor of l?
True
Suppose -25 = -5*i - 0*i. Suppose c - j + 4 = 4*c, 20 = 4*c + i*j. Suppose 2*s + 5*r + 0 - 57 = c, s = -2*r + 26. Does 9 divide s?
False
Suppose -2*s = 2*n + 10, 0 = 5*n + s - 0*s + 17. Is (-30)/(6/n) - 4 a multiple of 11?
True
Let d be 5 + (1 - (0 - -1)). Let r = 16 - 4. Let u = r + d. Is 12 a factor of u?
False
Let b = -34 - -358. Is b a multiple of 36?
True
Let n(b) = -b**2 + b + 1. Let h be n(0). Does 9 divide (h - -26) + 0/2?
True
Let p be 3/9 + 440/12. Let q = -3 + p. Is q a multiple of 17?
True
Is 11*4*8/4 a multiple of 18?
False
Let o(t) = 9*t - 5. Let c be o(3). Let i be (3/2)/((-3)/(-116)). Suppose c - i = -3*u. Does 12 divide u?
True
Let h(b) = b**3 - 2*b**2 + 4*b - 3. Let t be h(2). Suppose -t*j + j - 12 = l, 3*l - 20 = 2*j. Is l even?
True
Let u be (-6)/(-21) + 12/7. Suppose -32 = -u*b + 18. Is b a multiple of 8?
False
Let r(h) = -2*h - 9. Let w be r(-6). Suppose 5*v - 108 = 127. Suppose -3*p + 7 - v = -4*i, 0 = 2*i - w*p - 26. Is i a multiple of 7?
True
Suppose 0 = -y - 3 + 8. Does 4 divide y?
False
Suppose -4*s + 301 = 3*s. Is 9 a factor of s?
False
Suppose -957 = -9*u - 2*u. Is 29 a factor of u?
True
Suppose 0*c + 5*c - 420 = 0. Is 17 a factor of c?
False
Let r = 172 + -122. Suppose 4*l + 20 = 5*z - 13, -23 = 4*l - 3*z. Is -4 + r - (l + 2) a multiple of 23?
True
Let j be (2/(-4))/(1/4). Let n(s) = -2*s + 4*s + 0*s + 2*s**2 - 3*s**3 + s. Does 13 divide n(j)?
True
Is 11 a factor of 8/(-12) - 334/(-6)?
True
Suppose 0*y + 3*y = 0. Suppose y*a - 45 = -3*a. Does 5 divide a?
True
Suppose -6*l + 28 = -122. Is 25 a factor of l?
True
Suppose 5*j - 195 = -c, -6*j = -3*j + 5*c - 117. Suppose 2*h - j = 7. Suppose 0 = m - h - 1. Is m a multiple of 17?
False
Let a(l) = -3*l - 2. Let t be a(-2). Does 15 divide t/18 - (-1209)/27?
True
Let u(f) = 2*f**2 - 10*f - 1. Let v(p) = 2*p + 1. Let b be v(3). Is 11 a factor of u(b)?
False
Let n(j) be the first derivative of j**4/4 + 5*j**3/3 - 7*j**2/2 - 3*j - 2. Let a be n(-6). Let t(l) = 6*l. Is t(a) a multiple of 9?
True
Let c be (-4)/3*6/(-4). Suppose 4*t - l - 29 = 0, 2*t + 4*l + 10 = c. Is t a multiple of 2?
True
Does 8 divide 2/15 + ((-3948)/(-90) - 2)?
False
Let q(s) = s**3 + 6*s**2 - 16*s - 8. Is q(-7) a multiple of 19?
False
Let u(y) = 17*y**3 + y**2 - 2*y + 1. Is 3 a factor of u(1)?
False
Let u = -363 + 531. Is u a multiple of 42?
True
Let t(v) be the third derivative of -v**6/120 - v**5/60 + 3*v**3/2 + v**2. Let x be t(0). Let u = x - 4. Is u a multiple of 3?
False
Let u(w) = w**3 + 8*w**2 - 5. Is u(-6) a multiple of 18?
False
Suppose 0 = 2*s - 9 - 11. Is s a multiple of 5?
True
Let h(k) = k**3 + 11*k**2 - 15*k - 16. Let t(r) = 2*r**3 + 22*r**2 - 31*r - 32. Let p(u) = -7*h(u) + 3*t(u). Does 6 divide p(-12)?
False
Let d = 10 - 10. Let z(f) = f + 9. Is z(d) a multiple of 2?
False
Let f(p) = 2*p + 9. Let c(h) = -h - 4. Let u(d) = -5*c(d) - 2*f(d). Let b be u(2). Suppose 2*r = b*r - 6. Does 2 divide r?
False
Let t(s) be the third derivative of s**7/840 + s**6/360 - s**5/120 - s**4/12 + s**3/3 - 2*s**2. Let c(i) be the first derivative of t(i). Does 4 divide c(2)?
True
Let z = 18 + 50. Suppose -s + z = 3*s. Is 17 a factor of s?
True
Let p(r) = -r**3 - 6*r**2 - 5*r + 2. Let s be p(-5). Is ((-32)/12)/s*-18 a multiple of 12?
True
Let s = -18 + 21. Suppose -2*t - y + 24 + 35 = 0, -53 = -2*t - 3*y. Suppose 0 = 2*m - 2, 7*m - t = -d + s*m. Is d a multiple of 24?
False
Let w(s) = 2*s**3 + 15*s**2 + 23*s - 4. Let h(f) = -f**3 - 8*f**2 - 11*f + 2. Let q(j) = 5*h(j) + 2*w(j). Is 2 a factor of q(-9)?
True
Let r(s) = -s**2 + 11*s - 7. Let l be r(10). Suppose -4*k + l*h = h + 224, k + 3*h = -42. Let o = 92 + k. Is 16 a factor of o?
False
Suppose 3*f + 84 = 3*u, 0*u - 3*u - 56 = 2*f. Let g = -16 - f. Does 4 divide g?
True
Let d(x) = x**3 - 2*x**2 - 3*x - 4. Suppose 97 = 4*c + 17. Suppose 0 = -m - 4*m + c. Is 16 a factor of d(m)?
True
Suppose 5*c - 13 - 27 = 0. Suppose 5*t - c*t = -39. Is t a multiple of 13?
True
Let a be (0/(-2))/(4/2). Suppose -5*b + k + 190 = a, 0*b + 2*k = -b + 49. Suppose -9 = -3*h + b. Does 16 divide h?
True
Suppose -4*w + 3*w = -3*y - 31, 0 = -w - 2*y + 6. Does 4 divide w?
True
Let r = 140 - 100. Is r a multiple of 5?
True
Let t(f) = f**2 - f - 10. Let m be t(0). Let j be (1 - 4) + (-2 - m). Suppose j*v + 3*x = 5 + 23, 2*x = 3*v - 32. Is 3 a factor of v?
False
Let o(t) = 3*t + 4. Suppose 4*s + j - 20 = -j, 4*j = 5*s - 12. Suppose s*i - 4*b - 16 = -i, 0 = -4*i - b + 17. Is o(i) a multiple of 8?
True
Let z(d) = 2*d**2 - 2. Let b be z(6). Suppose -b = -5*l + g, -l + 3*g + 42 = 2*l. Does 4 divide l?
False
Let i = -1 - 1. Is i/(-6)*111/1 a multiple of 13?
False
Suppose -2*j - 8 - 2 = 0, -5*n + 5*j = -820. Does 10 divide n?
False
Let i be 32*-1*9/(-12). Let p = -6 + i. Suppose 0*h = h + 4*t - p, -5*t = 20. Is 17 a factor of h?
True
Let b(w) = w**3 + 16*w**2 - 8*w - 4. Is 31 a factor of b(-16)?
True
Is 8 a factor of (-4)/(-22) - 735/(-11)?
False
Let x be (2/(-2))/((-3)/9). Suppose -4*v - x*c = 0, 6*v - c = 2*v. Suppose 4*p - 4*n - 60 = v, p + 39 = 6*p + 4*n. Is 5 a factor of p?
False
Suppose -2*h = -d + 3*d - 10, -2*h + d = -10. Is 4 a factor of h?
False
Suppose -2 = -2*s, -5*x - 2*s - 225 = -7*s. Let g be (-140)/x - (-4)/(-22). Suppose 2*n + g = 11. Is 4 a factor of n?
True
Suppose -2 = g - 65. Is g a multiple of 21?
True
Let y(n) = -9*n**3 - 3*n**2 - 5. Let r(q) = -27*q**3 - 10*q**2 + q - 16. Let p(t) = -2*r(t) + 7*y(t). Is p(-2) a multiple of 24?
False
Suppose 4*o + 4*q = 32, 2*o = 5*o - 2*q + 1. Suppose b + 9 = 2*c, -b + 4*c + o = -2*b. Let l = b - -19. Does 10 divide l?
False
Is 7/(105/(-20))*-3 a multiple of 4?
True
Let n = 15 + 36. Does 17 divide n?
True
Let y = -16 + 22. Let a(q) = -q**2 - 10*q + 2. Let c be a(-8). Let j = c - y. Is 6 a factor of j?
True
Does 12 divide (192/112)/((-2)/(-14))?
True
Let q(b) be the first derivative of -b**3/3 + 2*b**2 + 7*b - 3. Is q(5) a multiple of 2?
True
Suppose -m - m = -3*n - 73, -m = -2*n - 35. Is 5 a factor of m?
False
Let x = -57 - -79. Is 10 a factor of x?
False
Suppose u - 4 = -u. Suppose 4*s = 2*h + 6, u*s - 15 = 3*h + 2*h. Suppose -4*w + w + 60 = s. Is 10 a factor of w?
True
Let i be 22/(2/3*1). Suppose -4*q - a + 2*a + 262 = 0, -3*q - a = -200. Let l = q - i. Is 13 a factor of l?
False
Let h(q) = 5*q**2 + 3*q - 11. Does 12 divide h(5)?
False
Is 14 a factor of (84/(-5))/(0 - 3/15)?
True
Let p = -51 - -82. Let a be -3*(-1)/(-3)*p. Let l = 12 - a. Does 17 divide l?
False
Suppose -5*q = 3*m - 54, q - 4*m = -2 - 1. Is 12/(-54) - (-533)/q a multiple of 20?
False
Suppose 3*i - 2*i + 8 = 3*r, i + 6 = 2*r. Suppose 0*k = -r*k + 34. Does 13 divide k?
False
Let y(r) = 4*r**2. Suppose 0 = -p - 2 + 3. Let d be -3*(2 - p) + 1. Does 8 divide y(d)?
True
Let z(k) = k**3 + k**2 - k + 1. Let x(c) = -4*c**3 - 11*c**2 + 8*c - 7. Let w(q) = x(q) + 3*z(q). Let f be -9*(4 - (-2 + 5)). Is 16 a factor of w(f)?
True
Let v = -12 - -8. Does 5 divide 1/(-2) - 26/v?
False
Let r = -18 - -21. Suppose -3 - 3 = -2*g, -3*p + r*g + 216 = 0. Does 25 divide p?
True
Suppose 4*t + 102 = -134. Let c = -19 - t. Is 10 a factor of c?
True
Let f(i) = i**2 - 6*i - 10. Does 30 divide f(10)?
True
Suppose 6*f = 2*f - 40. Let z be f - (-1)/(-1)*-1. Is (-24)/z + 2/6 a multiple of 2?
False
Let h = -1 + 3. Suppose h*a = -3*a + 60. Is a a multiple of 6?
True
Let w(q) = q**3 - 3*q**2 + 2*q - 3. Let v be w(3). Suppose -107 = -5*o + v. Is o a multiple of 9?
False
Suppose 4*b - 6 = 5*b. Let y = b + 8. Is (-80)/(-2) - (-4 + y) a multiple of 15?
False
Suppose 0 = -2*o - 36 - 4. Let q = o - -33. Is 13 a factor of q?
True
Suppose 2*l + 4 = 3*l. Suppose q - 2 = 2*p, l*p - 2*p - 10 = 0. Does 5 divide q?
False
Suppose 3*k + 273 = 3*n, n = -3*k - 0*k - 269. Let s = k - -134. Is 17 a factor of s?
False
Let p = 107 + 148. Is 15 a factor of p?
True
Let j = 3 + -1. Suppose 17 =
|
{
"pile_set_name": "DM Mathematics"
}
|
6*u(v). Determine l(-14).
-122
Let x(j) be the third derivative of -1/6*j**3 - 1/20*j**5 - 1/120*j**6 - 27*j**2 + 1/24*j**4 + 0 - 2*j. What is x(-3)?
-4
Let t(g) be the second derivative of 23*g**3/6 - 365*g**2/2 - 116*g + 21. Calculate t(16).
3
Let o be (33 + -3)/10 + 2. Let a(x) = 27*x - 15. What is a(o)?
120
Let p(d) be the third derivative of -1/20*d**5 + 1/3*d**3 + 1/30*d**6 + 0 + 0*d - d**2 + 1/24*d**4. Let x = 27900 - 27898. Determine p(x).
24
Let z(r) = 59*r - 64. Let b(k) = 6*k - 10. Let u(d) = -6*b(d) + z(d). Calculate u(8).
180
Suppose -5*g + c - 179 = 0, -3*g + 311 = -12*g - c. Let i(l) = 2*l**3 + 71*l**2 + 35*l + 24. Calculate i(g).
24
Let m(x) = 7*x**3 + 17*x**2 - 76*x + 26. Let y(i) = -2*i**3 + 3*i**2 - i + 4. Let g(w) = -m(w) - 4*y(w). Determine g(26).
10
Let y(w) = 25*w - 49 - 48*w + 25*w + 23. Give y(7).
-12
Let t(o) = -o + 25. Let i be t(0). Let p = i + -20. Suppose -p*h = -27 + 2. Let w(f) = -f - 2. What is w(h)?
-7
Let j(l) = 8*l + 420*l**2 + 426*l**2 - 1261*l**2 + 416*l**2 + 1. Let q be -4*(4/(-1))/(-2). Determine j(q).
1
Suppose -r + 14 = 3*t, -4*r + 2*t = -t + 4. Let w(x) = 11*x - 5 + x - 8*x - r*x. What is w(-5)?
-15
Suppose -l - 5*w = -13 - 6, -w + 3 = 0. Suppose -l*p - 27 = -5*t, 4*t + 3*p - 2*p = 9. Let j(u) = -u**3 + 4*u**2 - 5*u + 2. What is j(t)?
-4
Let m(l) be the third derivative of -l**4/12 + 14*l**3/3 + 6158*l**2. Determine m(26).
-24
Suppose -3*w - 10*w + 78 = 0. Let z(x) = 14 - 3*x + 14 - 36 + 13. Give z(w).
-13
Let v(f) = 31*f**2 + 7*f - 31. Let d be v(5). Let y = -779 + d. Let c(p) = -p - 12. What is c(y)?
-12
Let d(m) = 2*m**3 + 18*m**2 + m - 13. Let h = 534 - 543. Determine d(h).
-22
Let a be ((-24)/20 + 0)/(1/(-5)). Let m(o) = 5*o - 26. Calculate m(a).
4
Suppose -438*a = -431*a + 903. Let v = a - -139. Let r(l) = l**2 - 10*l - 3. Determine r(v).
-3
Suppose 0 = -5*u - 15. Let z(c) be the first derivative of -1 + c**2 + 1/3*c**3 + 3*c. Give z(u).
6
Let v(c) = c**3 - 6*c**2 + 7*c + 2. Suppose w + w = -128. Let u = -63 - w. Suppose 4*p + 3*m - 7*m - 32 = 0, -2*m - u = p. Determine v(p).
12
Let r(m) = m**3 + 3*m**2 - 2*m + 2. Let l be (-1)/2 - (-42)/(-12). Suppose -2*a + 7*a = 1820. Let k be a/169 + l/26. What is r(k)?
18
Let r(x) = -x**3 + 4*x**2 + 8*x - 5. Let s = 3 + -5. Suppose -1875*l - 14 = -1880*l + 16. Let p be (-6)/l - s - (0 - 4). What is r(p)?
10
Let i(y) = -11*y**2 + 17*y + 30. Let x(b) = 6*b**2 - 10*b - 20. Let r(j) = 3*i(j) + 5*x(j). Calculate r(-4).
-62
Let n(x) = -6403*x - 19211. Let f be n(-3). Let c(v) be the second derivative of -5*v**4/12 - 2*v. Calculate c(f).
-20
Suppose 3*i + 24 = -0*i. Let b(r) be the third derivative of r**4/24 + 4*r**3/3 + 252*r**2. Give b(i).
0
Let j(w) = -43*w**2 + 35*w + 45. Let y(l) = -26*l**2 + 18*l + 23. Let d(b) = 3*j(b) - 5*y(b). Give d(-16).
36
Let q(b) = -b**2 - 12 + 1 + 1 - 3*b + 0*b**2 + 9. Let u = -66 + 36. Let c be 3/u*-8*-5. Give q(c).
-5
Let z be (41/(1517/(-111)))/((-18)/1). Let w(k) be the second derivative of 3*k**2 + 0 - z*k**3 - 23*k. What is w(-6)?
12
Suppose 0 = -4*j + 36 - 8. Let p(h) = -32*h**3 - 124*h**2 + 49*h - 63. Let i(l) = 27*l**3 + 104*l**2 - 41*l + 53. Let o(m) = -19*i(m) - 16*p(m). What is o(j)?
15
Let o(l) = -l - 7. Suppose 5*t + 22 = 2. Let g(h) = -13*h + 57. Let s(y) = 5*y - 19. Let j(v) = 4*g(v) + 11*s(v). Let z be j(t). What is o(z)?
-14
Let j be 2/(-1)*6/(-4). Let x(z) = -z**2 + 5*z - 2. Let g be x(j). Let q(k) = -g*k - 6 + 7*k + 3 + 4. What is q(-3)?
-8
Suppose 3*j + 12 = 0, 6 = -m - 40*j + 39*j. Let t(p) be the first derivative of 2/3*p**3 + 0*p + 1/2*p**4 - p**2 + 2. What is t(m)?
-4
Let s(j) be the first derivative of -j**4/4 - 11*j**3/3 + 11*j**2/2 - 11*j - 2330. Calculate s(-12).
1
Let r(c) = -3*c**3 + 61*c**2 - 13*c + 11. Let t(x) = -3*x**3 + 55*x**2 - 13*x + 11. Let h(q) = 9*r(q) - 10*t(q). What is h(1)?
4
Let h = -219 + 226. Suppose -3*j - 2*x - 24 = 0, -8*j + h*j + x = 8. Let f(i) be the first derivative of i**2 + 12*i + 2. What is f(j)?
-4
Let v(h) = 2*h - 10. Suppose -2*s - 3*y + 6 = 0, 141*s - 136*s = -3*y + 6. Determine v(s).
-10
Let h(a) = -a + 3. Let b = 483 - 475. Let n(w) = w**3 - 7*w**2 - 9*w + 5. Let z be n(b). What is h(z)?
6
Suppose 0 = 5*m + 6*m. Suppose m = -8*c + 11*c - 12. Let o(w) = -6 + c + 2 - 4 + w. Determine o(7).
3
Let c(y) = -y + 15. Let h be c(12). Suppose 11 = -t - h*i, 0 = -5*t - 7*i + 4*i + 5. Let p(l) = -t + 5*l + 0*l + 15*l - l**2 - 9*l. Determine p(7).
24
Let n(z) = 6*z**2 - 20*z - 9. Let l be n(6). Let t(y) = -78*y + l*y - y**3 + 1 - 3 + 5*y**2. Give t(6).
16
Let y(c) = 30*c - 275. Let s = 581 - 572. Let q be y(s). Let d(z) = z**2 + 9*z + 6. What is d(q)?
-14
Let p(n) = -3*n**2 + 25*n + 31. Let v be 60*50/125*((-33)/(-24) + -1). What is p(v)?
13
Let i(k) = -3*k - 3. Let b be (51 + 57)*((-2)/(-6))/1. Suppose -8 = -2*t + m, -33*m + 18 = 3*t - b*m. Calculate i(t).
-9
Let t(y) = -y**3 + 8*y**2 - 8*y + 9. Suppose 2*r = -4, l - 36 = r + 2*r. Suppose 16*z - l = 11*z. Let o be z + (5 - 1)/4. What is t(o)?
2
Let m(f) be the first derivative of f**3/3 - 15*f**2/2 - 13*f + 3731. Determine m(13).
-39
Let d(s) = s**3 + 21*s**2 - 21*s + 25. Let w be -1 + 1 - (14 - -8). Let h be d(w). Let i be 2*(-1 - (h - 3)/2). Let u(v) = -v**3 - v**2 - v. Determine u(i).
6
Let x(t) = t**3 + 17*t**2 + 40*t - 35. Let p be x(-14). Let q(r) = -12*r - 3. Calculate q(p).
81
Let x(g) = -8*g**3 - g**2 - g - 1. Suppose -7*l - 151 = 1221. Let t = l - -195. Calculate x(t).
7
Let b(t) = t**3 - 2*t**2 + 3*t - 6. Suppose -4*c + 4*v + 36 = 0, v = -5*c + 43 - 34. Calculate b(c).
12
Suppose -15 = 14*r - 43. Let u(x) = -7*x + x**r + 16 + 1 - 13. Determine u(5).
-6
Let w(y) = 2*y**2 - 8*y - 642 + 19*y + 1286 + 5*y**2 - 641. Calculate w(-3).
33
Suppose -10*o + 31 = -109. Let m(z) = o - 12*z - 29 + 10 - z**2. What is m(-11)?
6
Let a(c) = c**3 + 6*c**2 - 3*c + 7. Let x(z) = 29*z - 20. Let f be x(-1). Let h be 322/f - 4/(-7). Give a(h).
25
Suppose 120*s - 139*s - 19 = 0. Let b(a) = 43*a. Give b(s).
-43
Let a(l) be the first derivative of l - 4*l**2 + 1/3*l**3 + 58. What is a(6)?
-11
Let c(u) be the first derivative of u**3/3 - 2*u**2 - 9*u + 3595. Give c(5).
-4
Let o(w) = -w**2 - 28*w + 63. Let x be (5/(-3))/((-284)/72 - -4). Let b be o(x). Let y(g) = g**2 + g - 3. Give y(b).
9
Let f = 8175 + -8195. Let h(b) = -b**3 - 19*b**2 + 16*b - 13. Give h(f).
67
Suppose n = 14*q - 18*q + 1157, 5*n = 3*q - 839. Let t = -290 + q. Let u(p) = 2*p**2 - 2*p - 2. Give u(t).
10
Let s(m) be the third derivative of -m**5/60 + m**4/12 - 9*m**3/2 + 159*m**2 + 1. Calculate s(0).
-27
Let i(l) = -l - 10. Let v be (0 + (-92)/(-2))*-1. Let p = 12 + v. Let s = -42 - p. Give i(s).
-2
Let t(g) = 2*g + 8*g + 25 + 20*g - 20*g. What is t(8)?
105
Let m = -461 - -460. Let h(y) = 8*y - 39. Let z(q) = -5. Let n(r) = m*h(r) + 6*z(r). Give n(6).
-39
Let c(i) be the second derivative of 11*i**5/20 + 2*i**3/3 + i**2 - 9*i + 210. What is c(-2)?
-94
Let d(o) = -o**2 + 19*o - 1. Let z(c) = 126*c + 1. Let t(h) = -6*d(h) + 2*z(h). Give t(-23).
8
Suppose -4*l - 2*i = -536, -l - 4*i = -12 - 108. Suppose -11*m + 73 = -l. Let p(o) = -44*o**2 - 5*o + 2*o - 1 + m*o**2 + 23*o**2. Calculate p(-2).
-3
Let v(p) = -25*p + 72. Suppose 476 = -377*j + 590 + 1017. Determine v(j).
-3
Let n = 71 + -75. Let z(j) = -j**2 - 2*j - 9. Let x(i) = -i**2 - 3*i - 9. Let q(l) = n*x(l) + 3*z(l). Suppose -y + 21 = 27. What is q(y)?
9
Let c be -1 - (-5 - -2) - (17 - 16). Let y(r) = 4 - c - 14 + 1 + r. Give y(6).
-4
Let s(x) = -2*x**3 + 4*x**2 + x - 2. Let o be (-1)/(-2)*(2 - 0). Suppose -8 = 4*u, 0*u + 4*u - o = -3*c. Give s(c).
-17
Let o = -533 - -524. Let y(g) be the third derivative of -g**6/120 - 3*g**5/20 + g**4/24 + 5*g**3/6 - 10*g**2. Calculate y(o).
-4
Let r(m) = 37*m**3 - 6*m**2 + 6*m. Let k(o) = 102*o**3 - 16*o**2 + 18*o - 1. Let f(v) = 4*k(v) - 11*r(v). What is f(-3)?
-31
Let s(d) = -4*d + 4. Let m(u) = -u**3 + 11*u**2 + 13*u - 5. Suppose 5*a = 2*n + 68, -5*a + 52 = -2*a - 4*n. Let v be m(a). Determine s(v).
-24
Let q be (-2)/4 - 1/(-2). Let a(v) be the third derivative of -v**5/120 + 103*v**3/3 - 65*v**2 - v. Let d(w) be the first derivative of a(w). Give d(q).
0
Let h(j) be the third derivative of j**6/120 + 3*j**5/20 - j**4/24 - 5*j**3/6 - 9*j**2. Let x(p) = -p**2 + 9*p - 27. Let u be x(3). W
|
{
"pile_set_name": "DM Mathematics"
}
|
-28, -2, 1, 3, 5
Factor 22*b**3 + 1952*b**2 - 3992*b.
2*b*(b - 2)*(11*b + 998)
Factor -3*q**2 + 303*q + 401940.
-3*(q - 420)*(q + 319)
Factor c**2/2 - 3109*c + 68277/2.
(c - 6207)*(c - 11)/2
Find i such that -i**3/4 - 449*i**2/4 - 667*i/2 + 446 = 0.
-446, -4, 1
Solve 3*n**2 + 13338*n + 13335 = 0 for n.
-4445, -1
Factor 4*y**2/5 + 3028*y/5 - 3032/5.
4*(y - 1)*(y + 758)/5
Factor z**5/4 - 47*z**4/2 + 1617*z**3/2 - 11575*z**2 + 173125*z/4 + 515625/2.
(z - 25)**3*(z - 22)*(z + 3)/4
Factor 4*j**5 + 140*j**4 + 1292*j**3 + 1156*j**2.
4*j**2*(j + 1)*(j + 17)**2
Let -3*h**3 - 3087*h**2 - 1045152*h - 116721408 = 0. Calculate h.
-421, -304
Factor 13*h**2/4 + 5*h - 3.
(h + 2)*(13*h - 6)/4
Suppose 4*u**4 + 184*u**3 + 2496*u**2 + 9216*u = 0. Calculate u.
-24, -16, -6, 0
Find t, given that -2*t**2 - 10904*t + 528000 = 0.
-5500, 48
Factor 5*b**2 + 50995*b + 101970.
5*(b + 2)*(b + 10197)
Find a such that -4*a**2/7 + 2384*a - 33360/7 = 0.
2, 4170
Factor 19860245*x**3 - 139001785*x**2 - 139505*x - 35.
5*(x - 7)*(1993*x + 1)**2
Let -4*k**4/7 - 7720*k**3/7 + 502492*k**2/7 + 510208*k/7 = 0. What is k?
-1993, -1, 0, 64
Factor 4*j**2 - 1719672*j.
4*j*(j - 429918)
Let -8*l**4/7 + 2860*l**3/7 - 215696*l**2/7 - 108564*l/7 = 0. Calculate l.
-1/2, 0, 109, 249
Determine w so that -2*w**2 - 3460*w = 0.
-1730, 0
Factor 3*t**4 - 95334*t**3 + 757762155*t**2 - 6055997400*t.
3*t*(t - 15885)**2*(t - 8)
Determine h so that -h**3/4 - 373*h**2/4 - 3266*h - 3173 = 0.
-334, -38, -1
Factor 3*n**3 + 2868*n**2 - 943833*n - 1057626330.
3*(n - 590)*(n + 773)**2
Factor 3*s**2 + 2097*s + 257580.
3*(s + 159)*(s + 540)
Determine m so that 3*m**2/5 + 55062*m/5 + 252651987/5 = 0.
-9177
Let o**2 - 15092*o + 75435 = 0. What is o?
5, 15087
Factor 8*q**3/13 - 264*q**2/13 + 738*q/13 + 26896/13.
2*(q + 8)*(2*q - 41)**2/13
Let -2*g**2/7 - 3840*g/7 + 11538/7 = 0. What is g?
-1923, 3
Factor 5*y**3 - 2095*y**2 + 150495*y + 15446475.
5*(y - 237)**2*(y + 55)
Suppose n**4 - 103*n**3 + 2307*n**2 + 4927*n + 2516 = 0. What is n?
-1, 37, 68
Factor 2*p**3/3 + 5328*p**2 + 31954*p/3 - 15980.
2*(p - 1)*(p + 3)*(p + 7990)/3
Suppose v**2/3 - 1010*v/3 - 337 = 0. What is v?
-1, 1011
Find t, given that 3*t**5/7 - 1740*t**4/7 + 8634*t**3/7 - 5160*t**2/7 - 8637*t/7 + 6900/7 = 0.
-1, 1, 4, 575
Factor -2*t**3/19 + 31912*t**2/19 - 63816*t/19.
-2*t*(t - 15954)*(t - 2)/19
Solve -32*f**3 + 1584*f**2 - 26130*f + 143650 = 0.
65/4, 17
What is y in 18*y**5/5 + 1274*y**4/5 + 22378*y**3/5 - 6314*y**2/5 - 22396*y/5 + 1008 = 0?
-36, -35, -1, 2/9, 1
Factor -5*r**3 - 1210*r**2 + 12600*r.
-5*r*(r - 10)*(r + 252)
Factor z**2/5 + 407*z/5 - 12648.
(z - 120)*(z + 527)/5
Determine w so that -2*w**2 - 46*w + 2856 = 0.
-51, 28
Solve -2*k**3/13 - 1056*k**2/13 - 5634*k + 19201924/13 = 0.
-313, 98
Find n, given that -3*n**5/7 + 12*n**4 + 291*n**3 + 3426*n**2/7 - 792*n = 0.
-14, -3, 0, 1, 44
Solve 4*j**3 - 120*j**2 + 428*j - 312 = 0.
1, 3, 26
Let 2*k**4 + 414*k**3 + 388*k**2 - 4944*k = 0. Calculate k.
-206, -4, 0, 3
Suppose -2*n**4 - 8*n**3/9 + 2*n**2 + 8*n/9 = 0. Calculate n.
-1, -4/9, 0, 1
Factor -3*d**5 - 1914*d**4 + 1917*d**3.
-3*d**3*(d - 1)*(d + 639)
Let c**4/4 - 319*c**3/2 - 2569*c**2/4 + 319*c/2 + 642 = 0. What is c?
-4, -1, 1, 642
Factor m**3 - 61*m + 180.
(m - 5)*(m - 4)*(m + 9)
Factor -2*w**3/15 - 64*w**2/5 - 922*w/15 - 364/5.
-2*(w + 2)*(w + 3)*(w + 91)/15
Find j, given that j**3 + 20685*j**2/2 + 25851*j + 10340 = 0.
-10340, -2, -1/2
Factor -5*b**2 + 9630*b + 19280.
-5*(b - 1928)*(b + 2)
Factor 3*g**2 + 375666*g + 11760411963.
3*(g + 62611)**2
Let -3*f**2 + 537*f - 15444 = 0. What is f?
36, 143
What is k in 2*k**2/3 + 87208*k + 2851963224 = 0?
-65406
Factor 3*t**4/5 + 3768*t**3 + 29691624*t**2/5 + 70853472*t + 1060771248/5.
3*(t + 6)**2*(t + 3134)**2/5
Determine u so that u**3/4 + 134*u**2 - 543*u/4 - 1611/2 = 0.
-537, -2, 3
Factor 4*a**4 - 116*a**3 + 312*a**2 + 8208*a + 7776.
4*(a - 18)**2*(a + 1)*(a + 6)
Find q, given that -2*q**2 + 18314*q + 18316 = 0.
-1, 9158
Determine j so that 2*j**3 + 40554*j**2 + 205314510*j - 2675946650 = 0.
-10145, 13
Let -j**4 + 16187*j**3/3 + 70184*j**2/3 + 86396*j/3 + 7200 = 0. Calculate j.
-2, -1/3, 5400
What is u in -33*u**4/5 - 276*u**3/5 + 1473*u**2/5 + 276*u/5 - 288 = 0?
-12, -1, 1, 40/11
Suppose 7*g**3/5 - 263*g**2/5 + 477*g + 1071/5 = 0. What is g?
-3/7, 17, 21
Find z such that 5*z**2/3 + 70910*z/3 + 251411405/3 = 0.
-7091
Factor -3*u**2 - 166185*u - 166182.
-3*(u + 1)*(u + 55394)
Suppose 2*o**2/3 - 370*o/3 + 368/3 = 0. What is o?
1, 184
Let 3*v**2 - 58092*v = 0. What is v?
0, 19364
Determine b, given that -5*b**2/4 + 5*b + 7215 = 0.
-74, 78
Let -584896107*n**2/5 - 2262006*n/5 - 2187/5 = 0. What is n?
-27/13963
Factor 2*m**3 - 132*m**2 + 1728*m.
2*m*(m - 48)*(m - 18)
Factor -10*r**3 - 25*r**2 + 205*r + 220.
-5*(r - 4)*(r + 1)*(2*r + 11)
Determine f, given that 5*f**2/2 - 7051*f/2 - 2822 = 0.
-4/5, 1411
Factor 399*q**3 - 801*q**2 + 6*q.
3*q*(q - 2)*(133*q - 1)
Factor 6*t**3 - 15058*t**2 + 9399776*t + 60137432.
2*(t - 1258)**2*(3*t + 19)
Determine f, given that f**4/9 + 89*f**3/9 + 88*f**2/9 = 0.
-88, -1, 0
Find n such that 25*n**3/2 - 556145*n**2/2 + 222452*n - 44490 = 0.
2/5, 22245
Find h, given that 4*h**3 - 704*h**2 + 10172*h + 10880 = 0.
-1, 17, 160
Factor -5*x**5 - 909705*x**4.
-5*x**4*(x + 181941)
Factor u**3/7 - 186*u**2/7 - 3489*u/7 + 1102.
(u - 203)*(u - 2)*(u + 19)/7
Factor n**4/2 + 26*n**3 + 149*n**2/2 + 49*n.
n*(n + 1)*(n + 2)*(n + 49)/2
Determine j, given that j**4 + 7491*j**3 + 13889196*j**2 - 523933744*j + 510037056 = 0.
-3764, 1, 36
Solve -s**4/6 - 103*s**3/3 + 6655*s**2/6 - 19184*s/3 - 30080 = 0.
-235, -3, 16
Solve -m**3/5 + 449*m**2/5 + 636*m + 5472/5 = 0.
-4, -3, 456
Determine p so that 3*p**3 - 13890*p**2 - 13899*p + 27786 = 0.
-2, 1, 4631
Factor -4210*q**2/3 - 16843*q/3 - 4.
-(q + 4)*(4210*q + 3)/3
What is h in 2*h**2/3 + 1952*h/3 - 31744/3 = 0?
-992, 16
Find j, given that j**5/6 + 14*j**4/3 - 215*j**3/6 - 2101*j**2/3 - 6706*j/3 - 6076/3 = 0.
-31, -7, -2, 14
Solve 48*l**4/7 + 7816*l**3/7 - 30828*l**2 + 209910*l/7 - 51986/7 = 0 for l.
-187, 1/2, 139/6
Solve 5*l**3 + 7473*l**2 + 2794527*l + 1674027 = 0 for l.
-747, -3/5
Let 2*y**4 - 5494*y**3 - 16500*y**2 - 8*y + 22000 = 0. Calculate y.
-2, 1, 2750
What is v in -3*v**3 - 2316*v**2 - 75375*v - 73062 = 0?
-738, -33, -1
Let -2*b**4 - 92*b**3 - 528*b**2 + 15228*b + 48114 = 0. What is b?
-27, -3, 11
Find c such that -2*c**2/9 + 1880*c/9 - 11666/3 = 0.
19, 921
Factor 5*d**3 - 1458425*d**2 - 5*d + 1458425.
5*(d - 291685)*(d - 1)*(d + 1)
Factor 8*m**2 - 1306910*m - 326728.
2*(m - 163364)*(4*m + 1)
Let -2*f**4/13 - 1124*f**3/13 - 18530*f**2/13 = 0. Calculate f.
-545, -17, 0
Suppose -3*q**2/4 - 1785*q/2 - 10683/4 = 0. What is q?
-1187, -3
Determine u, given that 4*u**2 + 1684*u - 1246008 = 0.
-807, 386
Solve 3*c**3 - 41595*c**2 + 144241041*c - 432348849 = 0.
3, 6931
Factor 3*t**3/7 + 146*t**2/7 - 23917*t/7 + 7956/7.
(t - 68)*(t + 117)*(3*t - 1)/7
Factor 9*k**2/8 - 21441*k/8 - 7149/4.
3*(k - 2383)*(3*k + 2)/8
Factor 2*u**2/7 + 565424*u/7 + 39963037472/7.
2*(u + 141356)**2/7
Factor -4*k**3 - 764*k**2 - 13680*k.
-4*k*(k + 20)*(k + 171)
Find f, given that -4*f**4 + 168*f**3 - 320*f**2 = 0.
0, 2, 40
Solve -4*r**5 - 36115*r**4 - 63187*r**3 + 18054*r**2 = 0 for r.
-9027, -2, 0, 1/4
Factor 3*m**3 - 435*m**2 - 54051*m - 1281357.
3*(m - 231)*(m + 43)**2
Factor 2*x**4 - 802880*x**3 + 80581853936*x**2 - 966895537920*x + 2900599905312.
2*(x - 200714)**2*(x - 6)**2
Factor 8*r**2/17 + 26030*r/17 - 6508/17.
2*(r + 3254)*(4*r - 1)/17
Factor p**3/3 - 8*p**2 - 739*p/3 - 238.
(p - 42)*(p + 1)*(p + 17)/3
Factor k**2 - 101174*k - 202352.
(k - 101176)*(k + 2)
Determine t so that 2*t**3/17 - 466*t**2/17 + 496*t + 18744/17 = 0.
-2, 22, 213
Factor -3*x**3 - 4863*x**2 - 9717*x - 4857.
-3*(x + 1)**2*(x + 1619)
Factor -10101*w**2 + 30339*w - 108.
-3*(w - 3)*(3367*w - 12)
Solve 3818*q**5 - 20377*q**4/3 + 5936*q**3/3 + 3434*q**2/3 - 146*q - 3 = 0.
-1/3, -3/166, 3/23, 1
Factor r**3/3 - 119*r**2 - 12904*r/3 + 4420.
(r - 390)*(r - 1)*(r + 34)/3
Factor -a**2/4 - 98768*a - 9755117824.
-(a + 197536)**2/4
Factor -4*z**4 + 396*z**3 - 780*z**2 + 388*z.
-4*z*(z - 97)*(z - 1)**2
What is q in -2*q**4/9 - 152*q**3/9 - 2282*q**2/9 + 1676*q/3 - 288 = 0?
-54, -24, 1
Solve -b**3/2 - 22
|
{
"pile_set_name": "DM Mathematics"
}
|
s the closest to l? (a) -4 (b) 4 (c) d
c
Let d = -1.8 - -2.5. Let p = -4.3 - d. Let t = -5 + 4. What is the closest to -2 in p, t, -2?
-2
Let y be ((-2)/8)/(5/(-20)). Which is the closest to -1/2? (a) -1/3 (b) -5 (c) y
a
Let m be 6/(-20)*10/(-12). Let l = 0.02 - 0.32. Which is the nearest to 1? (a) l (b) m (c) -0.5
b
Let t be 25/10*8/50. What is the closest to t in 3, 0, 1?
0
Let f = 3/44 - -2/11. Let j be 44/10*(-3 - 2). Let d be -2 + 4/j - -2. What is the nearest to f in -3, d, -0.3?
d
Let s = -17 - -6. Let i = -11.3 - s. What is the closest to -1 in i, -0.5, 0?
-0.5
Let v = 22.5 + -22. Which is the closest to 2? (a) -1/2 (b) -1 (c) v
c
Let v = 17 + -17.09. Let k = v + 0.07. What is the closest to 0.1 in -5, 5, k?
k
Let t = 0.1 + 0.1. Let x = -0.6 + t. Let p be (6/9)/((-5)/6). Which is the closest to -1? (a) x (b) -0.2 (c) p
c
Let z = 6 + -5. Let w be (z*-3)/(6/(-4)). Let k be (w - 3/2)*-1. Which is the closest to k? (a) 0 (b) 3 (c) 2/5
a
Let d(l) = -l**3 - 3*l**2 + 1. Let u be d(-3). Let t be (-3)/8 + u/4. Let n = -0.08 - 0.42. Which is the closest to 0? (a) 3 (b) t (c) n
b
Let q be 2/5 + 26/(-90). Let s be 4/(-16) + (-42)/(-104). Which is the nearest to 2? (a) -0.1 (b) s (c) q
b
Let p be 8/(-12)*(-3)/8. Which is the nearest to p? (a) -1 (b) 2/5 (c) -3
b
Let u = 9/2 - 4. Let r = u - 1. Let z = -2 - -3. What is the closest to r in z, -3, -2/7?
-2/7
Let v = 141 - 78. Let t = v + -255/4. Which is the closest to -3/5? (a) 1/5 (b) 2 (c) t
c
Let x = 8 + 0. Suppose -k - x = -5*k. Suppose k*z - 3*z = -1. Which is the closest to z? (a) -4 (b) -3 (c) 4/7
c
Let g(x) = -x**2 - 21*x + 18. Let w be g(-22). Which is the closest to 0? (a) -2/7 (b) w (c) -3
a
Let f = -3.9483 - 0.6687. Let p = -0.017 - f. Let x = 0.4 + p. Which is the closest to -2? (a) 2/3 (b) 4 (c) x
a
Let z be (4/(-30))/((-1)/(-5)). Let i = -0.2 + 0.3. Which is the nearest to z? (a) i (b) -1 (c) 2/13
b
Suppose 0 = -2*r + 3 - 5. Let n(x) = -x**3 + 8*x**2 + x - 4. Let l be n(8). Which is the nearest to r? (a) 2/5 (b) 3 (c) l
a
Let n be ((-28)/98)/((-10)/7). Let r(s) = s**3 + 3*s**2 + s + 3. Let w be r(-3). Which is the nearest to 2/13? (a) n (b) w (c) -0.3
a
Let q = -2 - -7. Let a = -5.1 + q. What is the nearest to a in 0.1, -4/9, -0.2?
-0.2
Let m be ((-3 + 1)*-1)/(-3). What is the closest to -2 in -2/15, 2, m?
m
Let a = -6.5 - -7. What is the nearest to 1 in 1, a, -2?
1
Suppose -n = -4*z + 1, 0 = 2*z + 4*n - 0 + 4. Let g = 1 - z. Which is the nearest to g? (a) 0.1 (b) -0.3 (c) 3/7
c
Let h = 4 + -3.6. Let g = 30.6 - 27. Let p = g + h. Which is the closest to 0? (a) -0.5 (b) 0.2 (c) p
b
Let n = -16 - -15. What is the nearest to 1/2 in -4, n, 4?
n
Let i = -13 - -12. Let t = 2 - -2. Let p = -8 + t. Which is the nearest to i? (a) p (b) -0.5 (c) 0.1
b
Let w = 0.25 - 0.24. Which is the nearest to 0? (a) 3/2 (b) w (c) -5
b
Let q(t) = -3*t + 43. Let j be q(13). Let s = -0.03 - -0.03. Which is the closest to s? (a) -2/9 (b) j (c) -3/7
a
Let y(t) = 2*t**2 - 35*t + 26. Let s be y(17). Which is the closest to s? (a) 0.3 (b) -1/4 (c) 0.2
a
Let g = -46 - -140/3. Let z = -4 + 0. Let k = z + 6. Which is the nearest to -1? (a) 2/5 (b) g (c) k
a
Let a = 0.1 + 0. Let z = 9 + -12.9. Let g = -4 - z. What is the nearest to -1/2 in 0, g, a?
g
Let d be (21 - 3)/(-3) + 0. Let i = d - -6. Which is the closest to 1? (a) 1/2 (b) -1/2 (c) i
a
Let s = 173/118 - -2/59. Suppose -3 = -2*j - j. Let g(p) = -12*p + 50. Let l be g(4). Which is the nearest to j? (a) s (b) l (c) -2
a
Let n = 35 - 34. What is the nearest to 2 in -3/2, 0.2, n?
n
Let k(f) be the third derivative of -f**6/120 + f**5/60 - f**4/12 + f**3/2 + 2*f**2. Let j be k(2). Which is the closest to 1? (a) -2 (b) j (c) 4/5
c
Let b = -1.7 + 2.08. Let p = 0.12 + b. What is the nearest to -1/3 in -0.4, 0, p?
-0.4
Let s = 560 + -6154/11. Let y = 0.02 + -2.02. Which is the nearest to -0.2? (a) 0.4 (b) y (c) s
a
Let c = 20.71 + -0.31. Let k = 20 - c. What is the closest to 0 in -3, k, 2?
k
Let o = 0.009 - 0.049. What is the closest to 1/3 in o, -4, -1/4?
o
Let p = -23 - -20.7. Let t = 2.1 + p. Which is the nearest to -2/7? (a) 0.4 (b) 0.5 (c) t
c
Suppose q - 12 = 3*d - 7*d, -d = 2*q - 3. What is the nearest to -2 in 4, q, 0.3?
q
Let g = -2.3 + 0.3. Which is the nearest to 1/4? (a) 0 (b) g (c) 1
a
Let a = -16.3 - -16. What is the nearest to -0.1 in a, 2, 0.3?
a
Let c = 3.5 - 3. Let k = -0.3 - 2.7. Let l = k - -3.1. What is the closest to l in 4, c, -0.5?
c
Let k = -19.1 - -19. What is the closest to 1 in k, -0.5, 4?
k
Let n(l) = -l**3 + 3*l**2 - 4*l + 3. Let y be n(2). Let v be (1/26)/(y/4). What is the nearest to 0 in 0, -1/6, v?
0
Let d = 0.2 - 0. Suppose 2*k - g = -1, -5*k + 17 = 3*g + 47. Which is the closest to d? (a) k (b) 5 (c) 2/7
c
Let c = 0.11 - 0.1. Let l = c + -0.41. What is the nearest to 0 in l, 2, 0.1?
0.1
Let j = 48/29 - 3775/406. Let m = 15/2 + j. Which is the closest to -0.1? (a) -0.3 (b) m (c) -4/7
b
Let u = 67 - 599/9. Which is the nearest to 1? (a) 1 (b) u (c) 0.2
a
Let d be (30/(-9) - -3)*2. Let m = 3/3571 - 110761/71420. Let v = -4/5 - m. Which is the nearest to 0? (a) v (b) -1/6 (c) d
b
Suppose 38 = 3*x + 35. What is the closest to x in -0.5, -5, -2?
-0.5
Let o = 3 + -4. Let h = o + 1. What is the nearest to h in -3/2, 3/8, 2/7?
2/7
Suppose -n = -2*f - 6, -3*n + f + 3*f = -8. Which is the closest to -1/2? (a) n (b) 2 (c) -0.4
c
Let j = -0.167 + -0.833. Which is the closest to j? (a) -1 (b) 1 (c) -2/13
a
Let g = 11 - 10.9. Let r = 16 + -20. Which is the nearest to g? (a) -0.3 (b) r (c) 0.2
c
Let t = -35 + 35. What is the nearest to t in -2, -2/7, -0.3?
-2/7
Let v = 1 + -0.8. Let b be (3 - 4) + (-1)/2. What is the closest to -0.1 in v, -4, b?
v
Let r = 18 + -21. What is the nearest to -11 in r, -4, 1/4?
-4
Let u = 3.3 - 3.2. Let k = 0.8 - -0.2. Let z = -2/61 + -100/671. What is the nearest to k in -1/5, z, u?
u
Let n = 879/52 + -67/4. Let u be -1*3*10/3. Let g(k) = k**3 + 9*k**2 - 11*k - 12. Let q be g(u). Which is the closest to q? (a) n (b) -3/5 (c) -0.4
b
Let j = -56 + 55.8. Which is the closest to -0.2? (a) j (b) 0.6 (c) 0.5
a
Let j be (-3)/(-2)*8/(-42). Let m = 377.8 + -378. Which is the nearest to 0? (a) -3/5 (b) j (c) m
c
Let x be ((-2)/(-4))/(20/(-24)). What is the nearest to -0.2 in x, -1/3, -0.3?
-0.3
Let i be 4/10*(-40)/48. Suppose 10 = 5*p - 3*p. What is the nearest to i in -2, p, -0.1?
-0.1
Let j be (1/(-4))/(7/(-8)). Let x be -2 - (48/(-9) + 2). Let h = -39/85 - -1/17. Which is the nearest to j? (a) x (b) 4 (c) h
c
Let z = 39 + -39.3. What is the closest to 0.1 in -1/2, z, 5?
z
Suppose -6 = 5*x - 21. Suppose -x*j = -7*j. What is the nearest to j in 5, -0.3, 0.5?
-0.3
Let z = 1.8 + -0.83. Let c = z + 0.03. Let m = 3 + -2.6. What is the nearest to c in -4, -3, m?
m
Let r = 0.1 - -0.3. Let d = 0.32 - -0.08. Let h = 0.7 - d. What is the closest to 1/3 in h, 0.1, r?
h
Let t = -0.5 + 0.1. Let p = 0.77 + -0.47. Which is the nearest to 2/7? (a) p (b) t (c) -3/5
a
Let n = -0.41 + 0.01. Which is the nearest to 0.1? (a) 0.5 (b) 1 (c) n
a
Let i = -2.8 + 3.03. Let v = 0.33 - i. Suppose -3*k - 3 = 3*h - 2*h, 0 = -4*k + 5*h + 15. What is the nearest to k in v, -0.5, 0.3?
v
Let m = 5 + -5.35. Let a = m - 0.05. What is the nearest to -1 in 3, -2/7, a?
a
Let z = 0.075 - 4.075. Let y = 0.1 + 0.1. Let o = 2 + -2.1. Which is the closest to 0? (a) z (b) y (c) o
c
Let t = 658/5 + -132. Let r = 3 + 2. Let s = -8.4 + 8. Which is the closest to t? (a) r (b) s (c) 0.4
b
Let s = 2737/11 + -249. Let t be (1 - (-6)/(-4)) + (-12)/24. Which is the nearest to -2? (a) 0.2 (b) t (c) s
b
Suppose -1 = -7*t + 13. What is the closest to -0.5 in -2, t, -2/7?
-2/7
Let l = -238 + 2144/9. Let j = 1/122 - -29/183. Which is the nearest to j? (a) l (b) 4 (c) -2
a
Let v = 0 - 0.1. Suppose 2*p - 3*p - 11 = 0. Let u = p - -9. What is the nearest to v in -2/13, u, -5?
-2/13
Let o = -5/16 - 3/16. What is the nearest to o in -1/3, -5, 5?
-1/3
Suppose -3*a - 38 = -4*d, -3*d + 15 + 24 = 3*a. What is the nearest to 1 in 1/2, -4, d?
1/2
Let d = 88 + -83. Which is the closest to 1/2? (a) -2/7 (b) d (c) -3
a
Let m = 10.73 - 4.82. Let i = 0.09 + m.
|
{
"pile_set_name": "DM Mathematics"
}
|
ase 6) in base 4?
-11
What is 24 (base 5) in base 12?
12
What is 14 (base 11) in base 6?
23
What is -1 (base 10) in base 6?
-1
What is 1 (base 12) in base 4?
1
What is -f (base 16) in base 5?
-30
What is -10 (base 9) in base 11?
-9
Convert -6 (base 16) to base 15.
-6
4 (base 10) to base 7
4
-1 (base 16) to base 8
-1
Convert -13 (base 8) to base 3.
-102
Convert 142 (base 9) to base 13.
92
What is 0 (base 9) in base 13?
0
What is -101221 (base 3) in base 2?
-100100111
Convert -241 (base 11) to base 9.
-348
Convert -138 (base 9) to base 15.
-7b
What is -111 (base 3) in base 11?
-12
37 (base 14) to base 10
49
Convert -b1 (base 16) to base 15.
-bc
Convert -123 (base 4) to base 6.
-43
Convert 13 (base 11) to base 12.
12
What is 2a (base 15) in base 2?
101000
313 (base 4) to base 16
37
Convert 6 (base 7) to base 3.
20
What is 1 (base 13) in base 2?
1
Convert 13 (base 6) to base 8.
11
Convert -1 (base 2) to base 9.
-1
Convert -4 (base 15) to base 16.
-4
What is -34 (base 13) in base 4?
-223
1 (base 6) to base 15
1
What is 25 (base 11) in base 8?
33
73 (base 12) to base 13
69
Convert -5 (base 11) to base 3.
-12
What is -10 (base 12) in base 3?
-110
What is 1102 (base 6) in base 11?
211
8 (base 10) to base 13
8
Convert -34 (base 5) to base 15.
-14
Convert 0 (base 12) to base 14.
0
10 (base 11) to base 7
14
Convert -220 (base 5) to base 11.
-55
-2 (base 5) to base 8
-2
Convert -2 (base 14) to base 5.
-2
a2 (base 16) to base 2
10100010
111 (base 2) to base 8
7
-5 (base 9) to base 8
-5
Convert 7 (base 11) to base 5.
12
8 (base 15) to base 9
8
3 (base 16) to base 7
3
Convert 313 (base 5) to base 2.
1010011
Convert 1 (base 4) to base 12.
1
14 (base 10) to base 4
32
Convert -2 (base 9) to base 10.
-2
Convert -12 (base 3) to base 4.
-11
What is 0 (base 12) in base 15?
0
Convert 120 (base 4) to base 7.
33
0 (base 7) to base 8
0
What is a (base 12) in base 14?
a
78 (base 16) to base 15
80
-b (base 15) to base 4
-23
-94 (base 12) to base 8
-160
Convert -1001 (base 3) to base 15.
-1d
What is -c1 (base 14) in base 2?
-10101001
Convert -b (base 13) to base 3.
-102
What is 100110 (base 2) in base 4?
212
-10 (base 9) to base 5
-14
What is 152 (base 7) in base 14?
62
Convert 1002 (base 3) to base 16.
1d
Convert 123 (base 11) to base 2.
10010010
What is -25 (base 16) in base 9?
-41
What is -2 (base 14) in base 13?
-2
What is -a (base 16) in base 5?
-20
Convert 2 (base 12) to base 8.
2
Convert -b (base 16) to base 13.
-b
-5 (base 13) to base 7
-5
Convert 7 (base 16) to base 2.
111
Convert -22 (base 7) to base 8.
-20
What is -3 (base 6) in base 5?
-3
What is -1012 (base 3) in base 13?
-26
161 (base 7) to base 13
71
Convert 2 (base 6) to base 10.
2
Convert 34 (base 11) to base 4.
211
4 (base 13) to base 9
4
What is 12 (base 7) in base 5?
14
Convert -30 (base 8) to base 2.
-11000
Convert 1 (base 11) to base 10.
1
1 (base 11) to base 12
1
3 (base 14) to base 8
3
Convert -220 (base 3) to base 10.
-24
Convert 79 (base 12) to base 9.
113
Convert -2110 (base 3) to base 5.
-231
What is -105 (base 6) in base 13?
-32
What is -41 (base 13) in base 11?
-49
Convert -4 (base 8) to base 16.
-4
1153 (base 6) to base 5
2120
-2 (base 4) to base 16
-2
Convert -f (base 16) to base 10.
-15
Convert 101010 (base 2) to base 8.
52
-3 (base 11) to base 3
-10
What is 2 (base 5) in base 13?
2
7 (base 9) to base 11
7
What is 15 (base 8) in base 7?
16
What is 148 (base 9) in base 4?
1331
What is 3 (base 7) in base 6?
3
-44 (base 5) to base 7
-33
What is 11100 (base 2) in base 7?
40
Convert -20 (base 15) to base 7.
-42
-11 (base 5) to base 6
-10
-210 (base 3) to base 7
-30
What is 10 (base 2) in base 15?
2
Convert 5 (base 6) to base 4.
11
-28 (base 9) to base 15
-1b
-233 (base 4) to base 8
-57
What is 10 (base 5) in base 13?
5
-46 (base 10) to base 14
-34
112 (base 4) to base 10
22
1204 (base 5) to base 4
2303
Convert 1 (base 9) to base 8.
1
247 (base 9) to base 2
11001101
What is 1 (base 4) in base 3?
1
4 (base 8) to base 2
100
1 (base 16) to base 4
1
Convert 3 (base 5) to base 11.
3
What is 4 (base 14) in base 9?
4
-3 (base 4) to base 3
-10
32 (base 7) to base 13
1a
What is -11102 (base 3) in base 2?
-1110111
What is -1 (base 9) in base 6?
-1
What is -1000011 (base 2) in base 9?
-74
What is -1 (base 16) in base 10?
-1
-15 (base 14) to base 7
-25
-1 (base 8) to base 11
-1
Convert bb (base 15) to base 7.
341
Convert -2 (base 3) to base 12.
-2
Convert 12 (base 5) to base 11.
7
Convert 35 (base 11) to base 2.
100110
Convert 2 (base 5) to base 8.
2
What is 9 (base 11) in base 12?
9
0 (base 12) to base 6
0
-5 (base 15) to base 8
-5
What is -10 (base 4) in base 2?
-100
1230 (base 4) to base 10
108
What is -6e (base 16) in base 2?
-1101110
101 (base 4) to base 8
21
Convert a (base 14) to base 7.
13
5 (base 7) to base 5
10
Convert 42 (base 7) to base 16.
1e
-41 (base 16) to base 15
-45
Convert 5 (base 13) to base 9.
5
What is -1010000 (base 2) in base 7?
-143
2 (base 5) to base 9
2
Convert 8 (base 10) to base 16.
8
Convert 11 (base 2) to base 16.
3
17 (base 14) to base 5
41
What is 0 (base 11) in base 2?
0
What is -11 (base 5) in base 15?
-6
What is -3 (base 5) in base 10?
-3
What is 214 (base 6) in base 4?
1102
What is -32 (base 6) in base 13?
-17
-30 (base 4) to base 5
-22
Convert 130 (base 4) to base 10.
28
What is 6c (base 16) in base 2?
1101100
14 (base 5) to base 14
9
Convert 11 (base 13) to base 5.
24
What is -203 (base 5) in base 14?
-3b
-1ab (base 15) to base 12
-282
2 (base 12) to base 8
2
21 (base 12) to base 2
11001
What is 1000 (base 2) in base 11?
8
What is 0 (base 8) in base 7?
0
-10 (base 15) to base 9
-16
Convert -9c (base 13) to base 2.
-10000001
What is -11011 (base 2) in base 7?
-36
Convert -2 (base 8) to base 6.
-2
Convert 10 (base 3) to base 15.
3
What is 11 (base 8) in base 5?
14
What is -5 (base 11) in base 16?
-5
What is -100 (base 8) in base 16?
-40
Convert 12 (base 7) to base 4.
21
Convert 3 (base 16) to base 9.
3
300 (base 6) to base 12
90
What is -63 (base 7) in base 2?
-101101
What is -12 (base 8) in base 12?
-a
2 (base 8) to base 11
2
What is 2 (base 14) in base 12?
2
Convert 77 (base 9) to base 7.
130
Convert -420 (base 7) to base 15.
-e0
Convert 140 (base 5) to base 12.
39
What is -72 (base 12) in base 11?
-79
Convert 1 (base 3) to base 13.
1
What is 102 (base 7) in base 15?
36
What is 202 (base 4) in base 14?
26
What is 2 (base 8) in base 2?
10
-3 (base 10) to base 9
-3
What is -25 (base 12) in base 4?
-131
What is -6 (base 14) in base 4?
-12
What is -21 (base 7) in base 5?
-30
Convert 2 (base 12) to base 14.
2
-1142 (base 5) to base 13
-103
What is -a (base 14) in base 5?
-20
31 (base 6) to base 11
18
-96 (base 11) to base 6
-253
Convert 8 (base 9) to base 7.
11
Convert 3 (base 9) to base 6.
3
Convert 65 (base 10) to base 7.
122
What is -36 (base 12) in base 16?
-2a
Convert -11 (base 10) to base 9.
-12
-10101 (base 2) to base 3
-210
Convert -3 (base 6) to base 3.
-10
-2 (base 8) to base 11
-2
-3 (base 7) to base 4
-3
Convert a (base 15) to base 9.
11
What is 5 (base 7) in base 16?
5
-a (base 14) to base 12
-a
4 (base 12) to base 7
4
What is 224 (base 8) in base 15?
9d
e (base 15) to base 16
e
-d (base 15) to base 10
-13
What is 23 (base 5) in base 14?
d
Convert 0 (base 8) to base 4.
0
Convert 6 (base 11) to base 12.
6
What is -1 (base 9) in base 8?
-1
What is 1 (base 12) in base 8?
1
-11000 (base 2) to base 11
-22
159 (base 11) to base 4
2321
What is 2 (base 5) in base 13?
2
Convert -3100 (base 4) to base 16.
-d0
1 (base 14) to base 11
1
-181 (base 10) to base 14
-cd
Convert 121 (base 12) to base 13.
100
Convert -11 (base 6) to base 9.
-7
-5 (base 11) to base 4
-11
3 (base 8) to base 15
3
-13 (base 15) to base 3
-200
2 (base 8) to base 5
2
What is -d (base 16) in base 4?
-31
Convert -100 (base 2) to base 13.
-4
What is -616 (base 7) in base 3?
-102101
Convert -115 (base 15) to base 7.
-500
What is -21 (base 10) in base 8?
-25
Convert -3 (base 7) to base 15.
-3
What is b (base 12) in base 7?
14
Convert -1 (base 13) to base 5.
-1
Convert 20 (base 4) to base 8.
10
Convert -227 (base 8) to base 15.
-a1
What is 0 (base 3) in base 12?
0
What is 0 (base 2) in base 6?
0
What is 4 (base 8) in base 12?
4
Convert e (base 16) to base 6.
22
Convert 10 (base 4) to base 10.
4
Convert
|
{
"pile_set_name": "DM Mathematics"
}
|
a. Factor -y*u**2 - 2/7 + 6/7*u.
-2*(u - 1)*(2*u - 1)/7
Factor 0*v - 1/5*v**3 + 0 + 2/5*v**2.
-v**2*(v - 2)/5
Let k be (-5)/(-6)*24/60. Let t**3 + 1/3*t**4 + 0 + k*t + t**2 = 0. What is t?
-1, 0
Let o(p) be the second derivative of -3/20*p**5 + 0 + 0*p**2 + 9*p + 0*p**3 - 1/2*p**4. Factor o(y).
-3*y**2*(y + 2)
Let d = -52 + 160/3. Factor 0*f + 2/3*f**3 + 0*f**2 + d*f**4 + 2/3*f**5 + 0.
2*f**3*(f + 1)**2/3
Let m(v) be the first derivative of -v**5/2 + v**4 - v**3/6 - v**2/2 - 2. Solve m(d) = 0 for d.
-2/5, 0, 1
Let f(r) be the second derivative of -r**5/90 + r**4/54 + r**3/27 - r**2/9 + 3*r. Solve f(g) = 0 for g.
-1, 1
Let -1/4*o**4 + o - 1/2*o**3 + 3/4*o**2 - 1 = 0. What is o?
-2, 1
Let k(d) = d + 9. Suppose 0*l + 3*l = z - 3, 0 = l + 3. Let r be k(z). Solve r + 3*f**2 - 8*f + 5 - f**2 = 0.
2
Let -24*y**3 + 12*y**2 + 21/2*y + 3/2 = 0. What is y?
-1/4, 1
Let v be 16/(-12)*6/(-4). Let d be (-5)/(-2) + (-18 - -17). Solve -1/2*i - d*i**v + 1 = 0 for i.
-1, 2/3
Let j(k) = k**4 - 19*k**3 + 7*k**2 + 24*k - 13. Let x(d) = -d**4 + 10*d**3 - 4*d**2 - 12*d + 7. Let c(b) = -2*j(b) - 5*x(b). Let c(y) = 0. What is y?
-1, 1, 3
Let o(a) be the second derivative of -a**6/15 + 3*a**5/5 - 3*a**4/2 - 4*a**3/3 + 12*a**2 + 26*a - 2. Suppose o(p) = 0. What is p?
-1, 2, 3
Suppose 7*y**2 - 3 - 7*y**2 - 9*y**2 + 3*y**3 + 9*y = 0. What is y?
1
Let s(h) be the third derivative of h**5/420 - 2*h**3/21 - 14*h**2. Find p such that s(p) = 0.
-2, 2
Suppose 3*p - 16 = -p. What is a in a**2 + 0 + 2 - 3*a**2 - 4*a - p = 0?
-1
Let t(w) = -4 + w**2 - 1 + 3*w + w**2. Let b be t(-6). Determine d so that -18*d**2 + 17*d**2 + 4 + 27*d**2 - 28*d**3 - b*d**4 + 19*d**2 + 28*d = 0.
-1, -2/7, 1
Let c(d) = 2*d + 2 + 5*d - 3. Let r be c(1). Let -6*l**4 + r*l**5 - l**3 + 0*l - 15*l**5 + 0*l = 0. Calculate l.
-1/3, 0
Suppose -5*h = 2*m + 18, 6*m - m = h - 18. Let z(s) = s**3 + 3*s**2 + 2*s + 2. Let d be z(h). Find i such that -2*i + 4*i**2 + 0*i - 3*i**d = 0.
0, 2
Suppose 4*d + b = 117, 5*d - 35 - 110 = -b. Let w be 9/(-15) - d/(-30). Let -2/3*n**3 - w + 2/3*n + 1/3*n**4 + 0*n**2 = 0. What is n?
-1, 1
Let k(g) = -29 + 5 + 2*g - 9. Let o be k(19). Factor 0*b**4 - 1/2*b**o + 0 + 1/2*b**3 + 0*b + 0*b**2.
-b**3*(b - 1)*(b + 1)/2
Solve -8/11 + 0*d - 6/11*d**3 + 14/11*d**2 = 0.
-2/3, 1, 2
Let f(y) be the second derivative of -5*y**7/42 + y**6/6 + 3*y**5/4 - 25*y**4/12 + 5*y**3/3 - 20*y. Factor f(r).
-5*r*(r - 1)**3*(r + 2)
Let g = 124 + -122. Find d, given that 0 + 0*d + 3/4*d**3 + 0*d**g = 0.
0
Suppose -3*v + 4*w - 7 = 0, -v = w - 4 - 3. Let g(u) be the second derivative of 1/20*u**5 + 0*u**2 + 0 + 1/6*u**4 + u + 1/6*u**v. Factor g(x).
x*(x + 1)**2
Let h be -2 + 2 - (-4 - -2). Factor 0 - 2/3*q + 8/3*q**h.
2*q*(4*q - 1)/3
Suppose -38 = 3*c + 46. Let n be (-10)/(-24) - 7/c. What is w in -w**5 + 0*w + 1/3*w**4 + 0 + 0*w**2 + n*w**3 = 0?
-2/3, 0, 1
Let 3/2*a**2 + 3/2 - a**3 + 4*a = 0. Calculate a.
-1, -1/2, 3
Let t(h) be the second derivative of -5*h + 0 + 1/48*h**4 - 3/8*h**2 + 1/12*h**3. Factor t(y).
(y - 1)*(y + 3)/4
Let w(l) be the second derivative of -l**10/136080 + l**9/22680 - l**8/15120 - l**4/4 - 3*l. Let y(u) be the third derivative of w(u). Solve y(q) = 0 for q.
0, 1, 2
Let u(b) be the third derivative of -b**7/5040 + b**6/240 - 3*b**5/80 - b**4/12 + 4*b**2. Let j(f) be the second derivative of u(f). Solve j(k) = 0.
3
Let s be (-28 + 4)/(-4)*75/20. Determine t, given that 12*t + 25/2*t**3 + 2 + s*t**2 = 0.
-1, -2/5
Let u be -24*(2/(-4))/1. Let r be 6/u + (-3)/(-2). Solve -2/5*l + 0 - 4/5*l**3 + l**r + 1/5*l**4 = 0.
0, 1, 2
Let n(t) be the second derivative of -t**4/42 + t**3/21 + 15*t. Suppose n(l) = 0. Calculate l.
0, 1
Let d(h) = h**2 + 3*h + 5. Let i be d(-4). Let x be i/6 + 5/10. Solve -x - 1/2*z**2 + 2*z = 0 for z.
2
Let w = -10 - -14. Let o = w - 2. Let 2*g - 2*g**3 + 1 - 3 + 4*g**o - 1 - 1 = 0. Calculate g.
-1, 1, 2
Let b(c) be the third derivative of c**10/453600 - c**9/181440 - c**5/30 - 2*c**2. Let a(t) be the third derivative of b(t). Suppose a(w) = 0. What is w?
0, 1
Let q(z) be the second derivative of z**5/120 + z**4/24 + z**3/12 - 3*z**2/2 + z. Let m(o) be the first derivative of q(o). Let m(p) = 0. Calculate p.
-1
Let q(c) be the second derivative of c**4/4 + 6*c**3 + 54*c**2 - 23*c. Find x such that q(x) = 0.
-6
Suppose i = 2*x + 11, -2*i + 3*x = -6*i. Suppose 1 + i = o. Factor 2*r**o - r**5 - 2*r**2 - 3*r + 4*r + 2*r**3 - 2*r**3.
-r*(r - 1)**3*(r + 1)
Let g(n) be the first derivative of -n**4 + 4*n**3 - 4*n**2 - 63. Factor g(h).
-4*h*(h - 2)*(h - 1)
Let c be 12/(-27)*(3 + (-45)/12). Let w be (-7)/(-39) + (-8)/(-52). Find s, given that -c*s**2 + 0 + w*s**3 + 1/3*s**4 - 1/3*s = 0.
-1, 0, 1
Suppose 482*a - 15 = 477*a. Factor 0*v + 3*v**2 + 9/2*v**a + 3/2*v**4 + 0.
3*v**2*(v + 1)*(v + 2)/2
Let d(w) be the first derivative of 3*w**4/16 - 7*w**3/4 + 45*w**2/8 - 27*w/4 + 4. Solve d(r) = 0.
1, 3
Let m(z) be the third derivative of -z**7/84 + z**6/48 + z**5/8 - 5*z**4/48 - 5*z**3/6 - 17*z**2. Solve m(b) = 0 for b.
-1, 1, 2
Let w(i) be the second derivative of i**8/6720 - i**7/1260 - i**4/2 + 8*i. Let q(c) be the third derivative of w(c). Solve q(k) = 0 for k.
0, 2
Let b(m) = m**3 - 11*m**2 + 28*m + 14. Let j be b(6). Let 1/3*h**3 + 0 - 1/3*h + 1/3*h**j - 1/3*h**4 = 0. What is h?
-1, 0, 1
Suppose -2*g - 30 = 5*m, m + g + 24 = -3*g. Let p be (-10)/m*(-4)/(-7). Factor 18/7*u**3 + 0*u + p*u**5 + 0 - 24/7*u**4 - 4/7*u**2.
2*u**2*(u - 1)**2*(5*u - 2)/7
Suppose 3*b - m - 2*m = -6, -3*b + 2*m = 2. Factor -3/4*u**5 + 0 + b*u**4 + 1/2*u**2 + 0*u - 7/4*u**3.
-u**2*(u - 1)**2*(3*u - 2)/4
Let m(c) be the first derivative of -c**4/6 + 14*c**3/9 - 8*c**2/3 - 32*c/3 - 46. Determine a, given that m(a) = 0.
-1, 4
Let r be (-24)/(-36) - (-26)/6. Determine g so that 1/2*g**3 - 1/4 - 3/4*g - 1/2*g**2 + 1/4*g**r + 3/4*g**4 = 0.
-1, 1
Let z(w) be the second derivative of -w**5/50 + w**3/15 + 8*w. Determine y so that z(y) = 0.
-1, 0, 1
Let o(g) be the third derivative of 8*g**8/105 + 16*g**7/175 + g**6/25 + g**5/150 + 8*g**2. Factor o(l).
2*l**2*(4*l + 1)**3/5
Let r(p) be the third derivative of -p**8/112 - p**7/35 - p**6/40 + 12*p**2. Let r(c) = 0. What is c?
-1, 0
Let q(o) be the third derivative of -2*o**2 - 1/6*o**3 - 1/60*o**5 - 1/12*o**4 + 0*o + 0. Find d such that q(d) = 0.
-1
Let h = -54 - -56. Find p such that -1/4*p + 0 + 1/2*p**h - 1/4*p**3 = 0.
0, 1
Factor 2/9*b**3 - 2/9*b**5 + 0*b + 0*b**2 + 0 + 0*b**4.
-2*b**3*(b - 1)*(b + 1)/9
Let z(r) be the second derivative of 0 - 2*r**2 - 1/48*r**4 + 1/3*r**3 + 2*r. Factor z(h).
-(h - 4)**2/4
Let t(o) = -2*o - 14. Let k be t(-10). Let b = -3 + k. Factor 4/7*w**2 + 0 - 2/7*w**b - 2/7*w.
-2*w*(w - 1)**2/7
Let u(s) be the second derivative of -s**6/360 + s**5/60 - s**4/24 + s**3/6 - 4*s. Let v(f) be the second derivative of u(f). Factor v(j).
-(j - 1)**2
Let v(i) be the second derivative of -i**5/180 + i**4/24 - i**3/9 + 7*i**2/2 + 5*i. Let j(r) be the first derivative of v(r). Factor j(g).
-(g - 2)*(g - 1)/3
Let m(z) be the third derivative of z**8/5880 - z**6/1260 - z**3/3 - z**2. Let x(i) be the first derivative of m(i). Factor x(g).
2*g**2*(g - 1)*(g + 1)/7
Solve 32/3*g + 4/3*g**2 + 64/3 = 0 for g.
-4
Let i be -1 - 2/3*33/(-22). Let c(g) be the third derivative of 0*g**6 + 0*g**5 + 2*g**2 + i*g**3 + 1/70*g**7 + 0*g + 0*g**4 + 0. Factor c(p).
3*p**4
Let u = 14 - 11. Let i be (-9)/u*(-1)/9. Determine z, given that -i*z**2 + 4/3*z - 4/3 = 0.
2
Suppose 3*t + 6 = -0*t, -5*t - 16 = -3*q. Find x, given that -4/3 - 2/3*x**3 + 4/3*x**q + 2/3*x = 0.
-1, 1, 2
Suppose 3*u - 1 = -5*r, r = u - 4 + 1. Let t be r/3*2/(-1). Factor 4/3*s**2 + 2/3*s + 0 + t*s**3.
2*s*(s + 1)**2/3
Let f(s) be the first derivative of -s**7/105 - s**6/30 - 2*s**2 - 2. Let p(o) be the second derivative of f(o). Suppose p(m) = 0. Calculate m.
-2, 0
Let m(o) be the first derivative of o**5/60 - o**4/18 + o**3/18 + 8*o + 4. Let l(v) be the first derivative of m(v). Factor l(b).
b*(b - 1)**2/3
Let r(i) be the third derivative of i**6/24 - i**5/4 + 5*i**4/8 - 5*i**3/6 + 17*i**2. Factor r(n).
5*(n - 1)**3
Let n = 0 + 3. Suppose -3*h - 5*k + 6 = 0, 5*h = -n*k + 5*k + 10. Find f such that -1 - h*f**5 - 3 + 4*f**3 - 2*f**2 + f**4 + 5 - 2*f = 0.
-1, 1/2, 1
Let y(b) be the second derivative of -b*
|
{
"pile_set_name": "DM Mathematics"
}
|
12*c**2 - 8
Find the third derivative of -185*f**3*t**3 - 4*f**2 + f*t**3 - 3*t**2 wrt f.
-1110*t**3
What is the third derivative of -28*s**6 + 2*s**4 - 110*s**3 + 88*s**2 - 49 wrt s?
-3360*s**3 + 48*s - 660
Differentiate -2*g*w + 88*g*y + w*y + 24*w wrt g.
-2*w + 88*y
What is the second derivative of -12655*v**5 - 10059*v?
-253100*v**3
What is the second derivative of -5813*u**3 - 4773*u?
-34878*u
Find the first derivative of 4074*p - 2302 wrt p.
4074
Differentiate -2*w**2 - 1788*w - 26618 with respect to w.
-4*w - 1788
What is the derivative of 621*a**4 - 1457?
2484*a**3
Find the third derivative of 5424*f**6 - 185*f**2 + 9*f.
650880*f**3
Find the third derivative of 373*m*n**5 - 2*m*n - 6*n**6 - 7*n**2 wrt n.
22380*m*n**2 - 720*n**3
What is the first derivative of -2*r**3 + 658*r**2 + r + 1013?
-6*r**2 + 1316*r + 1
What is the second derivative of 6*g*w**4 + 3363*g*w - 3*g + 1997*w**5 wrt w?
72*g*w**2 + 39940*w**3
What is the derivative of 4105*p - 3033 wrt p?
4105
Find the third derivative of 387*o**5 + 581*o**2.
23220*o**2
What is the derivative of -c**4*r - 13*c**4 + 28*c**2*r - 14*r + 56 wrt c?
-4*c**3*r - 52*c**3 + 56*c*r
Find the second derivative of -3*d**2*m*w**3 + 313*d**2*w**3 + 60*d*m*w**3 + d*m*w + 4*d - 2 wrt d.
-6*m*w**3 + 626*w**3
What is the first derivative of 4*a**2*y*z**2 - 3*a**2*y - a*y*z + a*y + y*z**2 + 32*z wrt a?
8*a*y*z**2 - 6*a*y - y*z + y
What is the first derivative of 3*b**4 - 386*b**2*h**3 - 4223*h**3 wrt b?
12*b**3 - 772*b*h**3
What is the first derivative of -3902*i**2 + 4071 wrt i?
-7804*i
Find the third derivative of 142*b*o**5 - 3*b*o - 3*o**2 - 5*o wrt o.
8520*b*o**2
What is the third derivative of 10*p**2*u*y**2 - 22*p**2*y**4 + 6*p*u**3*y**3 - p*u**3 - 4*u**2*y**2 + 2*y**4 wrt y?
-528*p**2*y + 36*p*u**3 + 48*y
What is the third derivative of n**5 - 96*n**3 - 82*n**2 + n?
60*n**2 - 576
Differentiate -7*m*q*s - 2*m*q*y - 3*m*q + m*y + 21*m - 2*q*s*y + 2*s*y wrt s.
-7*m*q - 2*q*y + 2*y
Find the second derivative of 104*b**3 + 4*b**2 - 365*b.
624*b + 8
What is the second derivative of -2*k**4*z**2 + 3*k**2*z**2 - 6*k**2 + 3*k*z**2 - 3*k - 3*z**2 wrt k?
-24*k**2*z**2 + 6*z**2 - 12
What is the second derivative of -217*j**2*v**4 - 3*j**2*v + 37*j**2 + 4*v**4 wrt v?
-2604*j**2*v**2 + 48*v**2
What is the first derivative of 3333*i**2*x + 9*i**2 + 14*i - 5 wrt x?
3333*i**2
What is the second derivative of 63*n**3*v**3 - 11*n**3*v - 3*n**2*v + 2*n*v**5 wrt v?
378*n**3*v + 40*n*v**3
What is the third derivative of -4*a**3*u**5 - 3*a**3 - 8*a**2*u**5 + 9*a*u**2 + 6*u wrt u?
-240*a**3*u**2 - 480*a**2*u**2
Differentiate -3*j**3*u**2 + 1258*j**3 + 3*j**2*u**2 - 12*u wrt u.
-6*j**3*u + 6*j**2*u - 12
Find the second derivative of -617*w**5 - 3*w + 775 wrt w.
-12340*w**3
Differentiate u*y**3*z - u*y**3 - 267*u*z - 173*y*z wrt y.
3*u*y**2*z - 3*u*y**2 - 173*z
Find the third derivative of 20*d**2*v*x**2 + 2*d**2*x**3 - 7*d*v*x**3 + 2*d*x**3 + 2*v*x wrt x.
12*d**2 - 42*d*v + 12*d
What is the second derivative of -3*i**3*m**3 + 2*i**3 + 2*i**2*m**3 + 103*m**2 + 2*m wrt m?
-18*i**3*m + 12*i**2*m + 206
What is the second derivative of d**3*k + 2*d**2*k - 18*d**2 - 14*d*k + 2*k wrt d?
6*d*k + 4*k - 36
What is the second derivative of -3401*d**5 + 36*d + 60?
-68020*d**3
Find the third derivative of 56*b**5 - 2*b**4 - 166*b**2 wrt b.
3360*b**2 - 48*b
Find the first derivative of -43*b*l**3 + b*l**2 - 367*b - 3*l**3 - 2 wrt l.
-129*b*l**2 + 2*b*l - 9*l**2
What is the second derivative of -751*j**2 - 1232*j wrt j?
-1502
Find the second derivative of 2075*m**2 - 2579*m.
4150
What is the second derivative of -285*m**4 - 461*m?
-3420*m**2
What is the second derivative of 7*b**5 - b**3 + 10*b + 1 wrt b?
140*b**3 - 6*b
What is the third derivative of -2613*u**3 - 174*u**2 - 1 wrt u?
-15678
What is the derivative of -7*g*l**2 - 3*g*l + 488*g + 7*l**4 wrt l?
-14*g*l - 3*g + 28*l**3
Differentiate -929*d*j - 3381*d with respect to j.
-929*d
Find the third derivative of -2*v*x**6 + 107*v*x**2 + 51*x**6 wrt x.
-240*v*x**3 + 6120*x**3
What is the first derivative of -1195*g*r**3 - 3*r**3 - 400 wrt g?
-1195*r**3
Find the third derivative of -92*a*k**3*r - 12*a*k*r**3 + 4*a*k*r**2 - 12*k**3*r**3 - k**2*r**3 - 2*r**2 wrt r.
-72*a*k - 72*k**3 - 6*k**2
Differentiate 334*f + 400 wrt f.
334
Find the second derivative of -2706*k**3 - 15945*k.
-16236*k
Find the third derivative of 3*f**5 - 8*f**4 + 4*f**2 - 27*f.
180*f**2 - 192*f
Find the third derivative of -2*f*l*r**2 - f*r**6 - 19*f - 20*l*r**3 - 2*l + 2*r**6 wrt r.
-120*f*r**3 - 120*l + 240*r**3
Find the first derivative of 79*f*w**2*x - 2*f*w**2 - 2*f*w*x - 217*w**2 - 3*w*x - w wrt f.
79*w**2*x - 2*w**2 - 2*w*x
Find the third derivative of -3091*t**5 + 2*t**3 + 116*t**2 - 2*t.
-185460*t**2 + 12
Find the third derivative of -4481*u**3 + 6160*u**2 - 2*u wrt u.
-26886
What is the derivative of 98*i**2 - 79?
196*i
Find the third derivative of -4*k**2*v**3 - 4*k**2 - 91*k*v**3 + 48*k*v**2 wrt v.
-24*k**2 - 546*k
Differentiate h*i**3 - 355*h*i**2 - 7*h + 379 with respect to i.
3*h*i**2 - 710*h*i
What is the second derivative of -181*h*q**4*s**3 - 5*h*s**2 + 5*q**4*s - 133*q*s + s**3 - 2*s wrt q?
-2172*h*q**2*s**3 + 60*q**2*s
Find the second derivative of -19*a**4 + 30*a - 2.
-228*a**2
What is the second derivative of 605*t**3 - t**2 - 414*t + 1 wrt t?
3630*t - 2
Differentiate -2*g**2*w*y + g**2*w + 3*g**2*y - 41*g**2 - 3*g*w - 2*g*y - g - 259*w*y wrt w.
-2*g**2*y + g**2 - 3*g - 259*y
Differentiate -50*w**2 - 67*w - 7846 with respect to w.
-100*w - 67
Find the third derivative of -2*f**3*n*p*w**3 + 22*f**3*n*w**2 + f**3*p*w - 140*f*n*p**3*w**3 - f*n*p**3*w + 4*f*w**2 wrt w.
-12*f**3*n*p - 840*f*n*p**3
Find the third derivative of 285*a**6 - 251*a**2.
34200*a**3
What is the first derivative of 183*u**4 - 498 wrt u?
732*u**3
What is the first derivative of 62*m**4 + 2*m**2 + 205 wrt m?
248*m**3 + 4*m
What is the derivative of 20766*c**2 + 21400?
41532*c
Differentiate 414*i*s + 4*i - 3532*s with respect to i.
414*s + 4
What is the third derivative of q*w*z**3 - 4*q*w*z**2 - q*w + 2*q*z**4 - 6*w*z**4 + 9 wrt z?
6*q*w + 48*q*z - 144*w*z
Differentiate 509*g**4*n + g**3*n**2 + n**2 + 990*n wrt g.
2036*g**3*n + 3*g**2*n**2
Find the third derivative of 6*p**3*w**3 - p**3*w**2 + 20*p**3*w + 4*p**2*w**3 - 5*p*w**3 - 3*p*w**2 wrt w.
36*p**3 + 24*p**2 - 30*p
Find the second derivative of 1999*q**5 - 123*q wrt q.
39980*q**3
What is the third derivative of -2*r*y**4 + 22*r*y**3 - 197*r*y**2 - r - 5*y**4 wrt y?
-48*r*y + 132*r - 120*y
Differentiate -1291*u**3 + 1237 wrt u.
-3873*u**2
Differentiate 3*a*r - 40*a - 1192*r - 119 with respect to r.
3*a - 1192
What is the third derivative of 5*g**3*i**3 - 2*g**3*i**2*t**3 - 2*g**3*i**2 + 14*g**2*i**2*t**3 + 9*g*i**4*t**3 - 2*i**2*t**3 wrt i?
30*g**3 + 216*g*i*t**3
What is the third derivative of -1201*m**3 - 65*m**2?
-7206
What is the second derivative of -19*d**3*j**2 - 5*d**3 - 16*j**2 + 10*j - 5 wrt j?
-38*d**3 - 32
What is the second derivative of 1011*z**3 + z**2 + 1726*z?
6066*z + 2
Differentiate h**2*x**2 - 622*h*x**3 + 732*x**3 with respect to h.
2*h*x**2 - 622*x**3
What is the second derivative of -259*o**5 + 777*o wrt o?
-5180*o**3
What is the second derivative of 32*k**5 - k**2 - 315*k wrt k?
640*k**3 - 2
Find the second derivative of 601*j**2*m**2 - 122*j*m**2 + 2*m**2 wrt j.
1202*m**2
What is the first derivative of -132*o**4 + 108?
-528*o**3
What is the first derivative of 13*c*f**3*i**3 - 2*c*f**3*i + 4*c*f + f**3*i**3 - f*i**3 + 170*f*i wrt c?
13*f**3*i**3 - 2*f**3*i + 4*f
What is the second derivative of -j*m**5 + j*m**4 - 217*j*m**2 - j + 4*m + 1 wrt m?
-20*j*m**3 + 12*j*m**2 - 434*j
Find the third derivative of -9320*a*j**3 + 1325*a*j**2 + j**2 wrt j.
-55920*a
Find the first derivative of 16*m**3 + m**2 + 161 wrt m.
48*m**2 + 2*m
What is the second derivative of -u**3 + 6*u**2 + 2*u - 222?
-6*u + 12
Find the third derivative of 14*j**2*n**2*w**3 - j**2*n*w**3 - j**2*n*w**2 - 5*n**2*w**2 - 3*n**2 wrt w.
84*j**2*n**2 - 6*j**2*n
What is the first derivative of 36*l**4 - 11*l**2 + 2388 wrt l?
144*l**3 - 22*l
Find the second derivative of 3*b**3*i + 4*b**2*i**3 + 23*b**2*i + 56*b*i**3 + 19*i**3 wrt b.
18*b*i + 8*i**3 + 46*i
What is the first derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
128*m + 150. Let t(y) = 26*y - 30. Let l(p) = -3*r(p) - 14*t(p). Let n(x) = -11*b(x) - 6*l(x). Determine n(0).
4
Let m = -2 + 4. Let f(q) = 4 - q**2 + 8*q + 4*q**m - 2*q**2 - 15. Let k be f(-9). Let h(z) = -3*z - 2. Determine h(k).
4
Let b(c) be the third derivative of c**4/6 + c**3/2 - 9760*c**2. Let g(p) = p**2 + 6*p + 3. Let l be g(-5). Give b(l).
-5
Let z = -561 + 564. Let u(f) = 2*f**2 - 11. What is u(z)?
7
Let n(m) = m**2 + 8*m + 35. Suppose 4*j - 2*j - 4*f = -2, 3*j = 2*f - 15. Let q be n(j). Let o be (6 + q/(-8))/(1/(-2)). Let u(b) = 2*b + 5. Determine u(o).
-5
Let k be (6 + -3)/((-3)/(-4)) + -2. Let z(w) = 170 + w**3 + 6*w**k - 3*w - 171 + 4*w. Give z(-6).
-7
Let k(d) be the second derivative of d**5/60 + 7*d**4/24 + 2*d**3/3 - 48*d**2 - 35*d. Let f(i) be the first derivative of k(i). Determine f(-3).
-8
Let m(h) = 61*h - 187*h + 64*h + 14*h**2 + 65*h + 14 - 6. Let b(t) = 19*t**2 + 2*t + 8. Let j(k) = -3*b(k) + 4*m(k). Calculate j(6).
8
Suppose 10*i - 63 = -11*i. Let w be 62/22 + 26/143. Let a(o) = -2*o**2 + w - o**3 - 5*o + 18*o**2 - 12*o**2. What is a(i)?
-3
Let q(h) = 7*h**3 - 3*h**2 - 4. Let d(t) = -t**2 - 1. Let p(a) = -3*d(a) + q(a). Let j = -5 - -1. Let s be j/10 - 35/(-25). What is p(s)?
6
Let s(m) be the first derivative of -m**4/3 - m**2 - 2*m + 59. Let i(o) be the second derivative of s(o). Give i(2).
-16
Let l(i) be the first derivative of -1 - 5*i**2 - 1/3*i**3 - 14*i. Let s be l(-9). Let b(a) = a + 3. What is b(s)?
-2
Let u(q) = -86 + 271 + 3*q - 79 + q. Determine u(-28).
-6
Suppose -5*c = -5*a + 15, -3*a + 8*a = 4*c + 14. Let q be ((-5)/10)/(-1)*a - 0. Let x(o) = 11*o**2 + 18*o - 18*o. What is x(q)?
11
Let a(q) be the second derivative of q**4/12 + 17*q**3/3 + 36*q**2 + q - 116. Determine a(-32).
8
Let l(j) = -7*j**3 - j**2 + 3*j + 3. Let d = 10090 + -10091. What is l(d)?
6
Let q(b) be the second derivative of b**8/6720 + b**7/210 - b**4/6 - 27*b**3/2 - 3*b + 10. Let s(j) be the third derivative of q(j). What is s(-12)?
0
Let i(a) be the first derivative of -a**3/3 - 4*a**2 + 3*a + 2. Let s(o) = o**2 - 210*o - 4360. Let f be s(-19). Give i(f).
-6
Suppose -y + 563 = 538. Suppose 0 = -4*i - 3*o - 13, 84*o + y = 89*o. Let x(f) = -2*f + 8. What is x(i)?
22
Let u(i) = 14*i - 56. Let d be 184/(-161)*63/(-18). Determine u(d).
0
Suppose -4*v + 3 = -7*v. Let c(a) = 116*a - 719. Let r(i) = -38*i + 227. Let j(o) = 6*c(o) + 19*r(o). Determine j(v).
25
Let g be (-7 + 7)/(-4 - (-3 - 0)). Let o(v) be the third derivative of 0*v**3 + 0 - 9*v**2 + 0*v**4 + 1/60*v**5 + 0*v. Determine o(g).
0
Let m be (6/8)/((-253)/44 - -6). Let n(x) = -x**m - 3 - 4*x - 207*x**2 - 1 + 2*x**3 + 210*x**2. Calculate n(-4).
-4
Let t(j) = -16 + 4*j**2 + 11 - 594*j + 596*j. Determine t(4).
67
Let h be (-572)/(-156) + -3*(-4)/(-18). Suppose -4*z + 2*j + 2*j = -32, -2*j = z - 20. Let l(f) = 2 + 4*f - 15*f**2 + 26*f**2 - z*f**2. What is l(h)?
5
Let x = 127198 - 127206. Let z(t) = -7*t - 17. Let i(f) = -f - 1. Let u(n) = -6*i(n) + z(n). Give u(x).
-3
Let t(a) = -268*a**3 - 9*a + 8. Let f be t(1). Let w = -270 - f. Let l(i) = -7*i**2 - 1. Determine l(w).
-8
Let z(r) = -557*r + 4460. Let l be z(8). Let m(d) = -3*d**2 + 6*d - 4. Calculate m(l).
-28
Let r(c) = 4*c**2 - c + 1. Let s(i) = i**2 - 7*i + 14. Let f = -2 + 6. Let m be s(f). Suppose m*k + 5 = 7*k. Give r(k).
4
Let l(b) = b**2 + 57*b - 830. Suppose 0 = -240*r + 3999 - 1119. Determine l(r).
-2
Let v(g) be the first derivative of -g**4/4 + 5*g**3/3 - 2*g**2 - 9*g - 4321. What is v(3)?
-3
Let d(l) = -142206*l**2 + 2*l + 10 + 71103*l**2 + 71102*l**2. What is d(-4)?
-14
Let z(i) be the second derivative of 5/12*i**4 + 4 + 1/20*i**5 - i**2 - 8*i + 1/6*i**3. Give z(-3).
13
Let t(f) = -5*f + 112. Let m be t(22). Let k(r) = 2 + 53*r**m - 24*r**2 - 3*r - r**3 - 35*r**2. Let g(i) = -i**2 - 2*i + 3. Let q be g(-4). Give k(q).
-8
Let k(w) = 2*w**2 - 19*w - 6. Let h = -1137 - -1146. What is k(h)?
-15
Let f be -18 - -21 - (-3 + 7 - -7). Let w(x) = -x**3 - 8*x**2 + 6*x + 43. What is w(f)?
-5
Let a(k) = 29*k**2 - 4*k. Suppose -5*g + 26 = -3*o, -307*o + 311*o + 32 = 4*g. Calculate a(g).
25
Suppose 277*u = 279*u - 2. Let i(n) be the first derivative of 13*n**4/4 - n**3/3 - 9. What is i(u)?
12
Let b(k) = 3*k - 94. Let z be b(34). Let i(x) = 11 + 12*x**3 - 22 + z*x - 9*x**2 - 11*x**3. Give i(8).
-11
Let a = -10 + 1. Let f = 2 + a. Let o(m) = -m**2 + 46*m - 5. Let j(y) = -3*y**2 + 129*y - 15. Let p(z) = -6*j(z) + 17*o(z). What is p(f)?
-2
Let h = -47/23 + 164/69. Let z(v) be the first derivative of -2*v - h*v**3 + 9/2*v**2 - 1. Determine z(9).
-2
Let l be 2 + 110/70 - 12/(-28). Let i(p) = -p. Determine i(l).
-4
Let l(r) be the third derivative of 0*r + 1/24*r**4 - 2/3*r**3 + 7*r**2 + 0 + 1/12*r**5 - 1/120*r**6. Suppose -5*a + 34 = 9. Calculate l(a).
1
Let w = -25279 + 25279. Let t(u) be the third derivative of 18*u**2 + w - 1/60*u**5 - 5/24*u**4 + 0*u + 1/2*u**3. Calculate t(-5).
3
Let k(w) = w**2 + 26*w + 1. Let b(a) = -27*a. Let f(u) = 6*b(u) + 5*k(u). What is f(6)?
-7
Let x(t) = -3*t + 179. Let p(y) = y - 52. Let q(f) = -7*p(f) - 2*x(f). Give q(-4).
10
Let p = 248 + -180. Let g(k) = k + 68 - p. Determine g(-2).
-2
Let n(h) = -9*h**2 + 4*h - 20. Let v be 5/((-120)/162) - (-2)/(-8). Let g(z) = -5*z**2 + z - 10. Let f(q) = v*g(q) + 4*n(q). Determine f(8).
-2
Let h = 143 + -138. Suppose 2*u = -0*u + 2*w - 8, -4*u + 5*w = 20. Suppose -6*i + 31 + h = u. Let j(f) = -f**3 + 7*f**2 - 9*f + 5. Determine j(i).
-13
Let h(o) = 8*o**3 - 61*o**2 - 24*o + 20. Let i be h(8). Let k(n) = -n**3 + 21*n**2 - 18*n - 63. Calculate k(i).
-23
Let m(y) be the third derivative of y**6/180 - y**5/40 + y**4/24 + y**3/3 - 62*y**2. Let w(a) be the first derivative of m(a). What is w(4)?
21
Let s = 7950 - 7963. Let t(c) = -3*c - 15. Calculate t(s).
24
Let j(p) be the second derivative of p**5/20 + 31*p**4/12 - p**3/3 - 38*p**2 + 782*p. Determine j(-31).
-14
Let o be (154/(-8))/((-1008)/576). Let b(u) = 2*u - 30. What is b(o)?
-8
Let b(r) = -r + 18. Let i = 314 + -240. Suppose 2*a = 4*n + 26, -11*a + 6*a + i = -n. Determine b(a).
3
Let a(o) = o**2 + 5*o + 2. Let k be a(-5). Let t be 61 + (-16)/(-8)*3/k. Let h = t + -61. Let q(n) = n**3 - 2*n**2 - n - 3. Determine q(h).
3
Let g(a) be the second derivative of a**4/6 - 4*a**3/3 - 13*a**2 - a + 433. Determine g(6).
-2
Let w(z) = -3*z**2 + 176*z + 957. Let v be w(-5). Let f(o) = 10*o**3 - 15*o**2 + 5*o - 4. Calculate f(v).
26
Suppose 5 - 1 = 2*x. Suppose 4*m - 2 = x. Let u(o) = -50*o - 210. Let g(z) = 7*z + 28. Let j(p) = 15*g(p) + 2*u(p). Calculate j(m).
5
Let i(c) = 11*c**3 - 8*c**2 + 2*c + 43. Let l(r) = -7*r**3 + 4*r**2 - r - 29. Let u(d) = 5*i(d) + 8*l(d). Calculate u(-8).
-33
Let i(x) = x**3 + 5*x**2 - 108*x - 665. Let n be i(-7). Let b(c) = c**2 + 19*c + 23. What is b(n)?
-61
Let d(j) = j**2 + 4*j - 5. Let k(c) = c**3 + 7*c**2 + 7*c + 9. Let s be k(-6). Let g(i) = 1 - 7 + s*i**2 - 11*i**2 + 1 - i**3. Let b be g(-8). Give d(b).
0
Let w(o) = o + 2. Let p = -9 - -34. Suppose 5 = v - 5*t, -5*v = -4*t - 0*t - p. Suppose 5*q - 29 = -2*n, 2*q - 2 = -n + v*n. Give w(q).
7
Let o(k) = k**2 - 8*k + 12. Suppose -l - 3*h + 87 = 0, -2*l = -5*l - 5*h + 241. Let p be (3*1)/(27/l). Give o(p).
12
Let z = -14 - -20. Suppose i = 4*l - 9, -i - 6 = -6*i + 3*l. Let w(k) = -2*k**2 - 3*k - 10*k**2 + 6*k**2 + k**i. Determine w(z).
-18
Let u(n) = -n**3 + 46*n**2 - 331*n - 21. Let l be u(9). Suppose -5*x = -0*x - 10. Let v(q) = -4*q**2 - q**2 + 3*q**2 - x + q**2 - 5*q. What is v(l)?
4
Let w(o) = -3 + 10 - 17*o - 2*o**2 + 34 - 19. Give w(-9).
13
Let x(h) = -2*h + 5. Let m(p) = -2*p**2 + 6*p + 7. Let y(b) = -b**3 - 2*b**2 + 7*b + 8. Let n(f) = 5*m(f) - 4*y(f). Let c be n(-1). What is x(c)?
15
Let d(q) = 6*q + 2. Let r(c) = 11*c + 2. Suppose v = 3*l + 6, 4*l + 21 = 9. Let s(k) = v*r(k) + 5*d(k). Let j(f) = 5*f**2 + 1. Let h be j(-1). Determine s(h).
-14
Let w = -98 - -100. Suppose -2*n - 5*o = 14, -w*o + 11 = n + 19. Let b(f) = -f**3 - 13*f**2 - 11*f + 7. Give b(n).
-5
Let h(b) = 23*b**2 + b. Let n(s) = 7*s**2 + 3*s + 2. Let d be n(-1). Suppose 187 = -d*y - 83. Let x = -44 - y. Calculate h(x).
24
Let y(n) = n**2 - 6*n + 6. Let u be (-128)/(6*7/168). Let t = -508 - u. Calculate y(t).
-2
Let c(p) = -46*p - 1. Let a(s) = 32*s + 1. Let o(u)
|
{
"pile_set_name": "DM Mathematics"
}
|
a*j + 7*j wrt g.
-27*a**3*f*j - 53597*a*f*j
Find the second derivative of 2592180*s**5 + 160*s**3 - 2*s - 182060173 wrt s.
51843600*s**3 + 960*s
What is the second derivative of 3986*v**3 + 607*v**2 + 6*v - 352511?
23916*v + 1214
What is the first derivative of 103333*i**3*o + 3844*i**3 - i*o - 8*o - 994 wrt o?
103333*i**3 - i - 8
Find the second derivative of 12798116*m**3 + 3365686*m wrt m.
76788696*m
What is the second derivative of -37756785*a**3 - a**2 - 175237203*a wrt a?
-226540710*a - 2
Find the second derivative of 29*y**5 - 57514*y**4 - 16*y**2 - 220662006*y wrt y.
580*y**3 - 690168*y**2 - 32
Find the second derivative of 185481082*q**2*z**2 - 117*q**2 - 931789*q*z - q wrt z.
370962164*q**2
Find the second derivative of i**3 - 30265311*i**2 + 4*i - 15980946.
6*i - 60530622
What is the second derivative of -5093*l*u**2 + 57*l*u - 13*l - 2*u**3 + 6*u**2 + 10*u - 136 wrt u?
-10186*l - 12*u + 12
What is the first derivative of 3473471*j*u - 876486314*j - 2*u wrt u?
3473471*j - 2
What is the derivative of -42117*s**3 - 654*s**2 - 2*s + 96536405?
-126351*s**2 - 1308*s - 2
What is the second derivative of 2*q**2*y**3 + 22740*q**2*y**2 + 1208*q**2*y + 171856*q*y**3 + y wrt q?
4*y**3 + 45480*y**2 + 2416*y
Find the third derivative of -16*a**4 - 109357*a**3 - 7251642*a**2.
-384*a - 656142
What is the third derivative of 31780218*m*s**3 - 12*m*s**2 - 2*m*s - 297*m + s**2 + 1 wrt s?
190681308*m
What is the second derivative of -326632846*n**3 - n**2 + 4*n - 4929270?
-1959797076*n - 2
What is the third derivative of 3*m**6 + 3023975*m**4 + 45053363*m**2 wrt m?
360*m**3 + 72575400*m
Find the third derivative of 22394530*h**5 - 82*h**2 + 44154*h wrt h.
1343671800*h**2
Find the third derivative of -3685313*s*x**3 + 76*s*x**2 - 2*s*x + s + 4*x**3 + 2*x - 80143 wrt x.
-22111878*s + 24
Find the second derivative of 13867323*h**3 - 2088117*h.
83203938*h
Find the third derivative of -26084730*a*f**3 - 35470631*a*f**2 wrt f.
-156508380*a
What is the third derivative of 3*y**6 - 317483*y**5 - 15*y**2 + 72659*y - 1 wrt y?
360*y**3 - 19048980*y**2
Find the third derivative of 93*k**3*y**2 - 16220*k**3*y + 32*k**2*y**2 - 6*k**2*y - 569*k*y**2 wrt k.
558*y**2 - 97320*y
What is the third derivative of 437679990*t**4 + 746*t**2 - 153383*t wrt t?
10504319760*t
Find the third derivative of 95915*y**4 - 6*y**3 + 155*y**2 + 32*y + 235 wrt y.
2301960*y - 36
What is the second derivative of 811575*f**3 - 5699201*f?
4869450*f
What is the second derivative of 107531294*l**4 + 2*l**3 - 220914144*l wrt l?
1290375528*l**2 + 12*l
What is the second derivative of -1821134*h**2*z + 17*h**2 + 171*h*z - 177516*z wrt h?
-3642268*z + 34
Find the second derivative of 2*n**3*t**2 - 3771677*n**3 + n**2 + 2*n*t**2 - 10259191*t**2 - 2*t wrt t.
4*n**3 + 4*n - 20518382
Find the second derivative of -27452*h**3*r - 8*h**3 + 4*h*r + 6836*h + r - 13 wrt h.
-164712*h*r - 48*h
What is the third derivative of 184293643*k**4 - k**3 - 165*k**2 - 224949*k?
4423047432*k - 6
What is the derivative of 33793*g**2 - 239*g - 33980901?
67586*g - 239
What is the derivative of 50199751*a + 23449289 wrt a?
50199751
What is the third derivative of -247893*b**3*m**4 - b**3*m**3 - 18*b**3 + 46455*b**2*m**2 wrt m?
-5949432*b**3*m - 6*b**3
What is the second derivative of 9507944*x**2 - 6*x + 666430?
19015888
Find the third derivative of -60456400*d**3*g + 2*d**2*g - 293*d*g + 108*d + 8*g wrt d.
-362738400*g
Find the second derivative of 7804840*f**2*g**3*m**2 + f**2*g**2 - 1429*f**2*g*m - 45*f*g**3*m**2 - 26*f*g**3 + 1785*f + 2*g**3*m wrt m.
15609680*f**2*g**3 - 90*f*g**3
What is the first derivative of -2097*a**3 + 5438*a**2 + 15893972 wrt a?
-6291*a**2 + 10876*a
Differentiate -48222021*l**2*u + 3885*l**2 + 73*l + 9 wrt u.
-48222021*l**2
Differentiate -31047294*r**3 + 27728365 with respect to r.
-93141882*r**2
Find the first derivative of -168179*h**2 - 3418815 wrt h.
-336358*h
Find the third derivative of -64376434*d**3 + 13957*d**2 + 91.
-386258604
Find the second derivative of 6813*l**5 - 2*l**3 + 6*l**2 - 27131488*l - 1 wrt l.
136260*l**3 - 12*l + 12
Differentiate 6*w**2 - 36309091*w + 804592087 with respect to w.
12*w - 36309091
What is the second derivative of -12*f**2*m**3*y**2 + 141706*f**2*m*y**3 - 5*f*m**3*y**3 - 3*f*m**2*y**3 - 3*f*m**2 + f*y - 1527*f - 4*m**3*y**2 wrt f?
-24*m**3*y**2 + 283412*m*y**3
Find the second derivative of 928363680*d**5 + 1429219689*d wrt d.
18567273600*d**3
What is the third derivative of -75941*i**5 - 359*i**4 - 101562639*i**2 wrt i?
-4556460*i**2 - 8616*i
Find the second derivative of 11793861*q**2 - 2*q - 6935430 wrt q.
23587722
Find the first derivative of -7*c**4 - 138866*c**2*k**2 - 5452743*k**2 wrt c.
-28*c**3 - 277732*c*k**2
What is the second derivative of 43861992*h**3 - 4572314*h?
263171952*h
Find the first derivative of -21837607*o + 2481847 wrt o.
-21837607
Find the first derivative of -417708*v**2 + 4*v + 10355956 wrt v.
-835416*v + 4
Find the third derivative of 681*h**4 + 3990*h**3 - 368779*h**2.
16344*h + 23940
Find the second derivative of -2282714*c**4 + 6562109*c.
-27392568*c**2
What is the first derivative of -3*d**3*m*x + 164206716*d**3*x + 31349135*d*m*x + x wrt m?
-3*d**3*x + 31349135*d*x
What is the first derivative of -75791395*p - 1009699349 wrt p?
-75791395
Find the second derivative of 2*d**2*x + 27334107*d**2 - 317*d*x + 2*d - 389*x - 17 wrt d.
4*x + 54668214
Find the second derivative of -465126346*m**4 - 240071409*m - 1 wrt m.
-5581516152*m**2
What is the second derivative of 687*c*t**2 - c*t + 59690983*c + 15496*t**2 wrt t?
1374*c + 30992
Find the first derivative of 57*g**4*j + 1709463*g*j + 109837674*j wrt g.
228*g**3*j + 1709463*j
What is the derivative of 16*h*p**2 - h*p + 6723357*h + 523574555*p**2 wrt h?
16*p**2 - p + 6723357
Find the second derivative of -34530493*s**2 + 14632609*s wrt s.
-69060986
Find the second derivative of -44854*w**3 + 13*w**2 + 24272227*w.
-269124*w + 26
What is the derivative of -308748975*f**3 + 303780369 wrt f?
-926246925*f**2
Find the third derivative of -14*y*z**3 + y*z**2 + 34*y*z - 6585*z**3 + 1383*z**2 - 9*z wrt z.
-84*y - 39510
Find the third derivative of -6983430*x**3 - 6338082*x**2.
-41900580
What is the second derivative of -4*a*t**3 - a*t**2 - 1090799*a*t + a - 6215621*t**3 wrt t?
-24*a*t - 2*a - 37293726*t
What is the derivative of 708594*z**4 - z**2 + z - 3588586?
2834376*z**3 - 2*z + 1
What is the third derivative of -1973*p**5 + p**4*u - 3325*p**3 + 52954*p**2*u + 334 wrt p?
-118380*p**2 + 24*p*u - 19950
Find the third derivative of -10380017*v**3 - 332746*v**2 - v + 2 wrt v.
-62280102
What is the first derivative of 241664774*l**2*r + 781219661*l**2 wrt r?
241664774*l**2
Find the second derivative of -31142057*s**3 - 35076672*s wrt s.
-186852342*s
Find the second derivative of -i**5*t - 1506027*i**2*t**3 + 671*i*t**3 - 5235*i wrt i.
-20*i**3*t - 3012054*t**3
What is the third derivative of 100704467*i**6 + 113301155*i**2?
12084536040*i**3
What is the derivative of 108220606*r + 179591003?
108220606
Differentiate -7*d**2*v**2 - 6385369*d**2 - 3*d*v**2 - 39*d*v - v with respect to v.
-14*d**2*v - 6*d*v - 39*d - 1
What is the third derivative of 485443239*q*v**3 - 372*q - 45128*v**2 wrt v?
2912659434*q
What is the second derivative of 57562331*q**3 + 64*q + 295710 wrt q?
345373986*q
Differentiate 55*l**3 + 966*l**2 - 4*l + 86378 wrt l.
165*l**2 + 1932*l - 4
What is the third derivative of -28783*r**3*w**3*x - 52*r**3*w*x + 2*r**2*w - 27*r*w**3*x + 11*r*w**3 + r*w**2*x - r*w + 2*w**3*x wrt r?
-172698*w**3*x - 312*w*x
Find the third derivative of 808239810*h**3 - 2*h**2 + 2*h + 41861188 wrt h.
4849438860
What is the third derivative of -715764703*p**5 - 1093348687*p**2 wrt p?
-42945882180*p**2
Find the second derivative of 961*f**2*s**2 - 3374076*f**2*s + f**2 + 57395*f*s**2 - s wrt s.
1922*f**2 + 114790*f
Find the second derivative of -39368*p**2*t**2 - 109*p**2*t - 2*p*t**2 + 24*p*t - 4*p - 44*t**2 + 20*t wrt p.
-78736*t**2 - 218*t
What is the third derivative of 18705602*i**3*o*y*z**2 - 5*i**3*o*y + 41*i**2*o*y*z**2 + 3270*i**2*y*z**2 - i**2*y - 7*i**2*z - 2*i**2 + i*y - o*y*z**2 wrt i?
112233612*o*y*z**2 - 30*o*y
Find the second derivative of -48592517*s**4 + s - 81804103 wrt s.
-58311
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(272) + 2 + sqrt(272))))*-1 - (4 + -2*sqrt(272)))*2)**2*-1.
-144
Simplify ((sqrt(833) - sqrt(833)*-2) + 3 - (5 + (sqrt(833) + -4)**2))*-1.
-77*sqrt(17) + 851
Simplify -4 + (sqrt(168)/(sqrt(8) + sqrt(32)))/(2*sqrt(7)*-1).
-4 - sqrt(3)/6
Simplify (-6*2*(sqrt(95) + (1*sqrt(95) + sqrt(95) - sqrt(95)) + sqrt(95)))/(-1*sqrt(245)*2).
18*sqrt(19)/7
Simplify ((3 + 1*(sqrt(192) + sqrt(192)*-2 + 0))*6)**2.
-1728*sqrt(3) + 7236
Simplify -3*(-6*(4 + sqrt(931)) + -3 + -3 + sqrt(931))**2.
-72525 - 6300*sqrt(19)
Simplify 0 + (sqrt(700) + 1*sqrt(700))**2 + sqrt(63)/(sqrt(9) - sqrt(36)) + -6*(-1 + sqrt(112))**2*-3.
-145*sqrt(7) + 4834
Simplify (((sqrt(108)*-1)/sqrt(6))/(sqrt(54)/(sqrt(9) - sqrt(225)))*5)**2.
1200
Simplify (sqrt(160)/(sqrt(288) + sqrt(8)) - sqrt(20))/(sqrt(30)/sqrt(27)).
-18*sqrt(2)/7
Simplify (-4 + (sqrt(52)/sqrt(4) + -1 - (sqrt(13) + sqrt(13) + sqrt(13) + sqrt(117) + -3)) + -1*(sqrt(117)*1 + 5 - sqrt(117)))**2.
70*sqrt(13) + 374
Simplify ((-5*(sqrt(80) + (sqrt(80) - (sqrt(80) + 0)) + sqrt(80)) + 4)*-1)**2.
-320*sqrt(5) + 8016
Simplify (sqrt(88) - (((-3*(1*sqrt(88) + sqrt(88) + sqrt(88)) - sqrt(88)) + sqrt(88) - sqrt(88)) + sqrt(88)) - sqrt(88))/(-3*sqrt(392)) + 5.
-3*sqrt(11)/7 + 5
Simplify (sqrt(475)*-5)**2*6 + ((sqrt(19) - sqrt(19)*-2)**2*5 - sqrt(19)) + sqrt(133)/(sqrt(7)*1).
72105
Simplify (4*((3*(sqrt(320) + sqrt(320) + 1) - (sqrt(320) - (0 + sqrt(320)))*2) + -1))**2.
3072*sqrt(5) + 184384
Simplify -5*((sqrt(19) - (sqrt(19) - (1 + -1*sqrt(19)))) + 3*sqrt(1900))*-2.
10 + 290*sqrt(19)
Simplify ((1*sqrt(288))/(sqrt(45)/sqrt(45)) + (sqrt(10) + sqrt(160)*-4)/(3*(sqrt(80) + sqrt(5))))**2.
242
Simplify sqrt(175)*-3 - (1*sqrt(1008) + sqrt(7)) - (-4 + ((sqrt(392)/sqrt(8) + sqrt(49) - sqrt(49))/sqrt(7) + sqrt(7) - sqrt(7)))**2.
-20*sqrt(7) - 23
Simplify -1*-1*sqrt(891)*2*1.
18*sqrt(11)
Simplify 6*((-1*sqrt(120)/sqrt(3))/((-2*sqrt(288) + sqrt(288))*-4))**2.
5/96
Simplify ((4*(sqrt(450) - sqrt(450)*-3 - sqrt(450)))/sqrt(9))/(1*sqrt(10)*6 + 2*sqrt(490)).
3*sqrt(5)/5
Simplify 2 + ((sqrt(8) - 4*sqrt(8))*2 + sqrt(8))/(sqrt(320)/sqrt(5)).
-5*sqrt(2)/4 + 2
Simplify (4*((sqrt(5) - (1 + sqrt(20)/sqrt(4)))*-2 - (-2 + 2*sqrt(320))))**2.
-2048*sqrt(5) + 20736
Simplify (((sqrt(243) - (4 + sqrt(243) + -1))**2 - sqrt(243)) + -6*(sqrt(243) + 1)**2 + -2)*-5.
585*sqrt(3) + 7285
Simplify (-5 + 5*(-2 + sqrt(2448)*2 + sqrt(2448) + sqrt(2448) + sqrt(2448) + 1 + -2 + sqrt(2448)) + 5)**2.
-10800*sqrt(17) + 2203425
Simplify (sqrt(24)/(1*sqrt(96)))/(sqrt(288) - 3*sqrt(288)*-3).
sqrt(2)/480
Simplify ((5*sqrt(24)/(sqrt(32) + sqrt(8)) + -2*(sqrt(3) + sqrt(18)/(sqrt(24)/sqrt(4))))*3)**2 + -1.
146
Simplify (2 + (-4*sqrt(567)*-1 + -4)*-3)**2.
-3024*sqrt(7) + 81844
Simplify (-5*2*sqrt(130))/(2*sqrt(250) + sqrt(10)).
-10*sqrt(13)/11
Simplify (-1*1*sqrt(112) + -4)**2 - ((sqrt(112) + -1)*-4 + 4).
120 + 48*sqrt(7)
Simplify -4*-5*(sqrt(162) + 0 - sqrt(162))*-1.
0
Simplify ((-2 + -3 + sqrt(432))**2 + ((sqrt(432)*-1 + sqrt(432) + sqrt(432))**2 + 3 - sqrt(432)))*3.
-396*sqrt(3) + 2676
Simplify 4*-3*sqrt(720)*3*-3.
1296*sqrt(5)
Simplify ((-4*sqrt(260))/sqrt(5))**2 - (sqrt(208) - sqrt(208)*2).
4*sqrt(13) + 832
Simplify (6*(2 + (sqrt(320) - (-4 + sqrt(320))*5)))**2 + -2.
-50688*sqrt(5) + 201742
Simplify (sqrt(336)/((sqrt(112)/sqrt(2))/sqrt(8)) + -1)*1.
-1 + 4*sqrt(3)
Simplify ((sqrt(162)*-1)/sqrt(6))**2*1 + 4.
31
Simplify (-4 + sqrt(130)/(sqrt(60)/(sqrt(294) - sqrt(6))))*5.
-20 + 30*sqrt(13)
Simplify ((sqrt(88) - -2*(sqrt(88) + (sqrt(88) - (sqrt(88) - -1*sqrt(88)))))/sqrt(2) - (2 + sqrt(2156)*-1)**2) + -5.
-2165 + 58*sqrt(11)
Simplify (3 + 4*-5*(sqrt(99) + 1))**2.
2040*sqrt(11) + 39889
Simplify (2*(sqrt(121) - sqrt(121)*1)*-1)/(sqrt(22)/sqrt(2)*3 - sqrt(1584)*2) + -1.
-1
Simplify 4*((sqrt(528) + (sqrt(528) - 1*sqrt(528)*1))/(sqrt(12) + (sqrt(588) + sqrt(588) + 2*sqrt(588) - sqrt(12))))**2 + 1.
60/49
Simplify (sqrt(187)/(sqrt(11) + sqrt(11) + (sqrt(99) - (-2*sqrt(99) + sqrt(99)) - sqrt(99))/sqrt(9)) + 4)**2 + ((sqrt(2448) - (-2 + sqrt(2448)))*-6)**2*2.
8*sqrt(17)/3 + 2753/9
Simplify (((sqrt(363) + sqrt(363) + 1)*6 + sqrt(363) + -2 + -3 + 4*(sqrt(363) - (sqrt(363)*1 + sqrt(363))))*-5)**2.
4950*sqrt(3) + 735100
Simplify ((sqrt(60)*-1)/sqrt(4)*-1)/(6*sqrt(192)*-4).
-sqrt(5)/192
Simplify (1*sqrt(143)*-1 + sqrt(143) - 2*sqrt(143)*-2)/(sqrt(44)/sqrt(4)*-2 + -3*((sqrt(99) - sqrt(11)) + sqrt(11) - sqrt(11)))*5.
-5*sqrt(13)/2
Simplify -3 + ((sqrt(147) - 1*2*sqrt(147))**2 - (sqrt(147) - (5 + (2*sqrt(147))**2))).
-7*sqrt(3) + 737
Simplify 5 + sqrt(19) + sqrt(2299) + -3 + -3*(sqrt(1216)*4 + sqrt(1216))**2.
-91198 + 12*sqrt(19)
Simplify 0 + 1 + (sqrt(20)/(sqrt(44)/sqrt(176)))**2 + 5.
86
Simplify (sqrt(68)*-6 + sqrt(1377) + 0)**2 - (5*(1 + sqrt(1700)))**2.
-42372 - 500*sqrt(17)
Simplify (sqrt(1584) + 3 + -2)**2 - (sqrt(1584)*-3 + -3).
60*sqrt(11) + 1588
Simplify 2 + 3 + 2*sqrt(3)*4 + -2.
3 + 8*sqrt(3)
Simplify -4*(5 + sqrt(48) + -1 + -3)*5.
-80*sqrt(3) - 20
Simplify (sqrt(55)/sqrt(5) + sqrt(11) + 0 + sqrt(11) + 6*sqrt(1584))*3.
225*sqrt(11)
Simplify ((sqrt(30)/(sqrt(8)/(sqrt(12)/sqrt(3))))/((sqrt(9)*1)/sqrt(3) + (sqrt(108) - sqrt(108)*-1)))**2.
5/169
Simplify -4*-3*4*(-1 + 2*(0 + sqrt(112)))**2.
-768*sqrt(7) + 21552
Simplify (sqrt(500)/sqrt(5))/(-4*sqrt(18)).
-5*sqrt(2)/12
Simplify 3*((sqrt(117) - 1*sqrt(117)*-6)/sqrt(3))/((2*sqrt(147) - sqrt(147))*6).
sqrt(13)/2
Simplify (1*(-1 + sqrt(19)*-1 + sqrt(19)) - (sqrt(1900) + 1 + -1))**2.
20*sqrt(19) + 1901
Simplify -5 + 1 + 1 + sqrt(147) + (sqrt(75))**2*-1*1.
-78 + 7*sqrt(3)
Simplify (6*sqrt(363)*4 - sqrt(363))**2 + -5 + sqrt(363) + 0 + sqrt(363).
22*sqrt(3) + 192022
Simplify (-4*((sqrt(5)*-2*1 - 4*-1*sqrt(5)) + 3))**2.
192*sqrt(5) + 464
Simplify 4 + (sqrt(14) - 1*(sqrt(14) + sqrt(56)))/(sqrt(16)/(sqrt(24)/sqrt(3)))*-1.
4 + 2*sqrt(7)
Simplify 1 + (5 + 0 + sqrt(847))*-4.
-44*sqrt(7) - 19
Simplify (3 + sqrt(112) + -2)**2*2 - (1 + (sqrt(49)*-1)/sqrt(7) + -3).
17*sqrt(7) + 228
Simplify 4*(-4*(sqrt(243) + 2))**2*3.
6912*sqrt(3) + 47424
Simplify -3*(sqrt(180) + 1)*6*6 + 0.
-648*sqrt(5) - 108
Simplify ((3 + (sqrt(208) - (sqrt(208) + sqrt(208) + sqrt(208)*-1 + sqrt(208) + sqrt(208)) - sqrt(208)) + 0)*2*-6)**2.
-10368*sqrt(13) + 270864
Simplify 3*(-1 + -1 + sqrt(425) + 0 + -2).
-12 + 15*sqrt(17)
Simplify 4*(sqrt(80) + -2) + sqrt(55)/(1*(sqrt(11)*1 + sqrt(11))).
-8 + 33*sqrt(5)/2
Simplify 3 + 2 + 2*sqrt(14)/sqrt(7) + -3.
2 + 2*sqrt(2)
Simplify (-5 + sqrt(2) + sqrt(12)/sqrt(54))**2 + 5 + (sqrt(4)/(-1*sqrt(2)) - sqrt(2) - (sqrt(12)/sqrt(6)*-3)**2).
-46*sqrt(2)/3 + 140/9
Simplify -6*-4*((-4*(1 + sqrt(4212)))**2 + 3).
13824*sqrt(13) + 1617864
Simplify 5*(sqrt(162) + sqrt(162) + (sqrt(162) - (sqrt(162) + 3 + 4))**2 + -3*(2*sqrt(162) - sqrt(162))).
-45*sqrt(2) + 245
Simplify -2*sqrt(15)/sqrt(5) + (sqrt(3) - (sqrt(3) - (sqrt(9)/sqrt(3) + sqrt(3) + 2)))**2 - -3*sqrt(33)/(-4*sqrt(11)).
21*sqrt(3)/4 + 16
Simplify (5 + -4 + sqrt(392) + sqrt(392) + sqrt(392)*2 + -4 + (sqrt(392) + -1 - sqrt(392))*-4)**2.
112*sqrt(2) + 6273
Simplify -4*(-1 + 5*(-3 + sqrt(320)) + -2).
-160*sqrt(5) + 72
Simplify (sqrt(42)/sqrt(6) + 0 + sqrt(7) + -1 + sqrt(7) + 5 + sqrt(14)/(sqrt(10)/sqrt(5)*1) + -2)**2.
16*sqrt(7) + 116
Simplify (-4*(sqrt(4900) - sqrt(4900)*-1))/((-6*(sqrt(77) - (sqrt(77) - -1*sqrt(77))) + sqrt(77) - sqrt(77))/sqrt(11)).
-40*sqrt(7)/3
Simplify -6*(-1*sqrt(102)*3 + sqrt(102))/(-1*sqrt(216)) + 5.
-2*sqrt(17) + 5
Simplify -2*(sqrt(153) - (sqrt(153) + -5*2*sqrt(153) + sqrt(153)))/sqrt(9) - (sqrt(136)/(sqrt(8)*1) + (sqrt(17) - (sqrt(17) + 0 + sqrt(17))*-6))**2.
-3332 - 18*sqrt(17)
Simplify ((sqrt(396) + -1)*1 + (sqrt(396) - (sqrt(396) + (sqrt(396) - sqrt(396)*-1)))*5)**2 - (-5*(sqrt(396) + -1)**2 - (2*sqrt(396) + 2)**2).
96*sqrt(11) + 35650
Simplify 5 + ((sqrt(3) + 2*sqrt(3))*6 - 5*(sqrt(3) - sqrt(27)) - (2 + sqrt(27))*-2)**2.
272*sqrt(3) + 3489
Simplify (-2 + -1*sqrt(11) + 3)**2 - ((0 + sqrt(539) + sqrt(539))**2 + 5).
-2149 - 2*sqrt(11)
Simplify (sqrt(22)/(sqrt(11)*2) + sqrt(242) + 0 + sqrt(242) - (sqrt(2) + sqrt(32) + -5 + -3*(sqrt(2) - sqrt(2)*-2)))**2.
265*sqrt(2) + 2859/2
Simplify (5*((1*(sqrt(200) + 0) - (3 + sqrt(200) + -2)) + 1))**2.
0
Simplify (1*(-1*sqrt(13) + -4 + sqrt(13) + (-3 + sqrt(13))*6))**2.
-264*sqrt(13) + 952
Simplify (5 + 3*(sqrt(1377) + 0 + sqrt(1377))*2*4)**2.
|
{
"pile_set_name": "DM Mathematics"
}
|
or j.
-4
Suppose -96*w + 2300 = 19*w. Solve -w = -7*t + 2*t for t.
4
Let h = 8 + -6. Let m = -136 - -152. Let b(w) = -6*w**3 - w**2 + 1. Let l be b(-1). Solve h*z - m = l*z for z.
-4
Let g = 569 - 561. Solve -2*v - 6 + g = 0 for v.
1
Let x be 56/6 - (-2)/3. Solve 5*y + x = -0*y for y.
-2
Let q = -85 + 86. Solve 4*d + 11 = -q for d.
-3
Let f = -52 + 57. Let v be 3/(-15) + 261/5. Suppose 2*k - v = -2*j, -2*j = -3*j + 4. Solve -k - 3 = f*c for c.
-5
Suppose -1091*y = -1086*y - 15. Solve 0 = 3*r - y + 6 for r.
-1
Let p(h) = h**2 + 5 - 5*h + 13*h - 6*h. Let f be p(-2). Solve -9 - 11 = f*s for s.
-4
Let m = 53 + -50. Suppose -g = -2*r - 1, -m*r + 3*g - 7 = r. Solve k - 15 = -r*k for k.
5
Let h = 0 - 0. Suppose -14 - 16 = -5*w. Suppose c - w = -1. Solve q - c*q = h for q.
0
Let z(g) = -34*g - 65. Let b be z(-2). Solve 15 = -b*m - 0*m for m.
-5
Let k = -278 + 280. Solve k*v + 5 = -3*v for v.
-1
Let a(k) = -k + 13. Let j be a(7). Suppose 0 = -m + j - 4. Suppose -3*d + 11 - m = 0. Solve -1 = 2*n + d for n.
-2
Suppose n + 12 + 15 = 0. Let q = n - -32. Solve 6 = s + q for s.
1
Suppose 0*f = -2*f + 24. Suppose n + 2*x = 3*n - f, 2 = -n - x. Suppose n*c = c. Solve c = -3*m - 5 - 10 for m.
-5
Suppose -2*j + 0 = -3*z + 3, -3*z + 5*j = 6. Solve -3 = -z*a + 3 for a.
2
Let q(j) = -j**3 + 7*j**2 + 6*j + 17. Let l be q(8). Let t be 0/(-2) - (-17 + l). Suppose 0 = 2*c - r - t, 2*c + 3*r - 8 = c. Solve -2*b + c = -4*b for b.
-4
Let q be 2/4 + (-25)/10. Let o be 648/20 - 2/5. Let f be q/8 - (-40)/o. Solve -3*v - 16 = -f for v.
-5
Let o = 195 + -191. Solve o*g + 6*g = -0*g for g.
0
Suppose 1 + 0 = -u. Let i be (16/32)/(u/(-6)). Solve -b = -i*b + 6 for b.
3
Let j(y) = y**3 - 10*y**2 + 9*y + 6. Let n be j(9). Solve 10*v + 12 = n*v for v.
-3
Suppose -18*t + 6*t = -480. Solve -t + 15 = 5*i for i.
-5
Let f be (3/(-9))/(4/(-48)). Suppose 2*m + f*p = -0*p, 4*p = 0. Solve m = -q - 2*q - 3 for q.
-1
Suppose -4*r + 2*m - 104 = 0, 2*m - 100 = 4*r + m. Suppose -b = -6*b - 180. Let u = r - b. Solve i = -2*i + u for i.
4
Let n be 12/54 - 4/18. Let g be n/((-4 - -3)*-2). Suppose -3*p + 2*k + 50 = 0, -p + 0*p + 5*k - 5 = g. Solve -3*o - o + p = 0 for o.
5
Let l(p) = -p**2 - 12*p - 8. Let u be l(-10). Suppose 9*f + 15 = u*f. Solve 10 = -f*h - 5 for h.
-3
Let m(a) = -a**3 + 14*a**2 - a + 14. Let x be m(14). Suppose 0*y = 3*y - 12. Let d = 7 - y. Solve 6 = d*g - x for g.
2
Let i(k) = k + 1. Let t be i(1). Suppose 6*g = t*g + 144. Suppose -5*b + 24 = -g. Solve 0*h + b = -4*h for h.
-3
Let i(q) = -q**3 - 7*q**2 + 5*q + 70. Let r be i(-6). Solve -r*y = -y + 3 for y.
-1
Suppose -o + 43 = 37. Solve -5*g = -2*g + o for g.
-2
Let v = -632 + 662. Solve 6*o = -0 - v for o.
-5
Let n(q) = q + 16. Let t be n(-5). Suppose 0 = -2*m + 51 - t. Solve 5*c + 0*c + m = 0 for c.
-4
Suppose -4*g = d, 3*g + 0*d = 4*d. Suppose 0*l = -l - g*l. Solve -w + l*w = -4 for w.
4
Let l be 14/4 + 2/(-4). Suppose 3*o = -3*x + 21, 17*x - 2*o + 14 = 14*x. Solve x = -l*s - s for s.
0
Suppose -5*v + 132 = 3*g, 10*g - 134 = -5*v + 9*g. Let y be ((-7)/(-4))/(8/32). Solve -5*s + v = y for s.
4
Let f = 3064 - 3062. Let t(x) = x**3 + 4*x**2 + 2*x - 2. Let m be t(-2). Solve m = f*n - 3*n for n.
-2
Suppose 3*w + 14 = 5*g - 6, 12 = 2*g - 2*w. Let a be (0/(-4))/((-1)/g). Let u = -484 - -486. Solve -u*f = -a*f for f.
0
Let v be ((-3)/(-2) + -1)*14. Let p(y) = -3 + 4*y + 0 - 10. Let g be p(4). Solve v + g = 5*c for c.
2
Let o(d) = -2*d + 4. Let g(x) = 1. Let v(k) = 4*g(k) - o(k). Let r be v(3). Solve -u + r = 2*u for u.
2
Let k = -49 - -53. Solve -28*d = -27*d - k for d.
4
Suppose 190 = 10*h + 9*h. Solve -26 = -4*u - h for u.
4
Suppose -96*x = -99*x + 9. Suppose 5 = x*w - 4. Solve z = -w + 2 for z.
-1
Let t(w) = w**2 - 11*w + 30. Let d be t(7). Solve -5*g = d*g + 21 for g.
-3
Let b = -5 - 10. Let v be b/(-10) + 4/(8/(-3)). Solve v = -2*t - t + 9 for t.
3
Let i = 36 + -24. Suppose 5*h - 70 = -5*q, 4*h - 2*q = 2*h + i. Let g = 0 + h. Solve -3*w - g = -8*w for w.
2
Let l = 17 + -15. Suppose -8*b + 12 = -l*b. Solve b*z - 3 = z for z.
3
Let x = -121 - -114. Let o be (x - -1 - -2)*(-1)/2. Solve o*s = 4*s for s.
0
Suppose 3*l + 5*o + 2 - 4 = 0, -5*o = 5*l + 10. Let p = l + 5. Let h = p + 7. Solve m + m = h for m.
3
Let f(i) = i**3 + 4*i**2 - 5. Let q(w) = -w**2 + 1. Let s = -1 - 3. Let y(r) = s*q(r) - f(r). Let a be y(0). Solve -2*v + a = -1 for v.
1
Suppose -3 = 5*p - 6*p. Suppose 3*s + 2*t = 7*t + 9, p*s = -4*t + 36. Solve c = -c + s for c.
4
Suppose -60 = -10*w + 5*w. Solve 0 = -9*m + 5*m + w for m.
3
Let w be (7*20)/5 + 2. Suppose -f = 5*f - w. Solve f*x = x - 12 for x.
-3
Suppose 12*x + 81 = -123. Let d = x + 20. Solve -d*i + 6 = -5*i for i.
-3
Let m = -87 + 90. Solve m*c + 4 = -2 for c.
-2
Let v = 77 + -79. Let k be (-3)/(-6)*4 + v. Solve k = -0*n + n + 3 for n.
-3
Suppose 0 = 28*z - 20*z - 16. Solve -z*t + 160 = 166 for t.
-3
Let o be (12/10)/(1/5). Let z be (-27852)/(-1320) - 2/20. Solve o = 3*w + z for w.
-5
Suppose -9*s + 42 = 12*s. Suppose -2*a + 5*y + 8 = y, 2*a = 2*y + 6. Solve a*j - s = -0*j for j.
1
Suppose -5*h + 42 = 4*o - 90, -5*h = -4*o - 108. Solve 0 = 10*c + 6 + h for c.
-3
Let i be (4/(-8))/(2/(-52)). Let g(h) = -h**3 + 9*h**2 - 11*h - 4. Suppose -4*f = -1 - 23. Let n be g(f). Solve i = -5*p + n for p.
5
Let w be 1 + (0 - (2 + -1)). Let i be 0 + (-1 - w) + 0. Let c = i + 9. Solve c + 0 = 4*x for x.
2
Let m(h) = -h + 20. Let b be m(17). Let y be 0*(-3 + 0)/b. Solve 0 = -c + 3 - y for c.
3
Let z(u) = -4*u + 0*u + 5*u. Suppose 40*g = -3*a + 42*g + 4, -g - 7 = -4*a. Let b be z(a). Solve -5*d - 3 = -b*d for d.
-1
Suppose 2*c = -8, 3*s + 15*c - 16*c - 4 = 0. Solve s = -u + 3*u - 8 for u.
4
Suppose -33*v + 35*v = 10. Let x = 1 - -3. Solve -x*o + v = 21 for o.
-4
Let m(j) = -j**2 - 10*j - 5. Let f be m(-9). Solve s = 9 - f for s.
5
Let w be (-32)/12 - -2 - 28/(-6). Solve -w*q - 8 = 4 for q.
-3
Let g be (-3)/(-36) - (-1660)/240. Solve -4 = -6*r + g*r for r.
-4
Let s(j) = 3*j**3 - 111*j**2 + 2*j - 53. Let p be s(37). Solve p + 3 = 8*f for f.
3
Suppose 5*i - 24 = 4*b - 4, 5*b = 3*i - 12. Suppose -9*m + 7*m + 4 = b. Let f(c) = c - 2. Let g be f(5). Solve g*t + m = 11 for t.
3
Let t(j) = -2*j**2 - 7*j - 1. Let z be t(-3). Solve 32 = -z*d - 6*d for d.
-4
Let g(m) = 3*m**3 - m**2 + m - 1. Let n be g(1). Suppose 0*q + 21 = 3*q - 4*b, n*q + b - 25 = 0. Suppose -4 = -3*d + q. Solve 0 = -d*w + 8 + 2 for w.
2
Let b(v) = 2*v**2 - 64*v + 182. Let q be b(3). Solve 7*n + q = -13 for n.
-3
Suppose -40*x + 41*x + 12 = -3*a, 2*a + 13 = x. Solve -6*d + x = -7*d for d.
-3
Suppose 2 = -2*c, 2*i - 3*c = 3*i - 17. Solve -a + 15 - i = 0 for a.
-5
Let r(b) = 4*b**2 + 4*b - 5. Let p be r(-2). Solve -p*m + 9*m + 18 = 0 for m.
-3
Suppose 5*b = -2*v + 7, -5*b + 0*v + 2*v + 23 = 0. Solve -4 = b*w + 2 for w.
-2
Suppose 0 = 4*u - 0*u + 92. Let a = 25 + u. Let s be (1*(-12)/(-3))/a. Solve -4 = -s*w + 3*w for w.
-4
Suppose -9 = -5*a - 4. Let k = 4 - a. Solve k - 2 = j for j.
1
Suppose 0 = 4*o - 2*o - 12. Let z(k) = k + 10 - 2 + o. Let v be z(-8). Solve m - v = -m for m.
3
Let w(n) = 9*n**3 - n**2 - n + 1. Let x be w(1). Let y = x - 3. Let i be (3 - 16/4) + 3. Solve i*z - y = 3*z for z.
-5
Let g(n) = -2*n + 12. Suppose f - 21 = 2*b + 2*b, 4*f - 3*b - 32 = 0. Let h be g(f). Suppose 0 = -5*z + 4*u + 21, -4*z + u + 17 = -h*u. Solve o = z*o for o.
0
Suppose 0 = -2*k + 10, -3*k + 3 + 12 = 2*a. Solve 3*g = -a + 6 for g.
2
Let u(y) = -y**3 + 27*y**2 - 27*y + 29. Let n be u(26). Suppose n*q = -6*q + 27. Solve g - 5 = -q for g.
2
Let t be (-300)/9 + (-2)/3. Let q = 49 + t. Suppose -17 + q = -p. Solve 0 = p*k + k - 12 for k.
4
Let f(o) = 3*o + 19. Let j be f(-4). Solve j = -b - 6*b for b.
-1
Let l = -73 + 77. Solve 11*o = l*o - o for o.
0
Suppose 4*x - q - 26 = q, q + 17 = 3*x. Suppose 0 = x*d - d. Let r(y) = -y**3 + 20. Let v be r(d). Solve 2*u + v = -3*u for u.
-4
Let b = 234 - 225. Solve -b = -5*k - 14 for k.
-1
Suppose 2*u + 4 = i, -4*i + 30 = -4*u + 6. Suppose -3*l - 25 = -i*l. Solve l*v + 6 + 9 = 0 for v.
-3
Let q(o) = o**3 - 8*o**2 + 2. Let i(j) = -j**2 - 7*j - 2. Suppose 5*a - 2*a - 20 = g, -4*g - 45 = -5*a. Let f be i(g). Let w be q(f). Solve w*h - h = -4 for h.
-4
Let d(m) = m**2 + 2*m - 3. Let f be d(2). Suppose -f*c = 5*r - 5, -2 - 2 = -2*c - r. Solve -4 =
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*g - 2*t + 116, g + 145 = 6*g - 3*t. What is the remainder when g is divided by 15?
14
Suppose 120 = 2*m + m. What is the remainder when (-144)/(-20)*m/6 is divided by 17?
14
Suppose 2*b = 2*k + b - 85, 5*b + 20 = k. Let p(n) = -2*n. Let s be p(7). Let q = s + 26. What is the remainder when k is divided by q?
9
Suppose 0 = 4*g - 2*s - 2 - 10, -3*g + 14 = -4*s. Let x(a) = -a + 11. Let v be x(8). Suppose c - v*c = -2. What is the remainder when g is divided by c?
0
Let z(h) = 2*h**2 - 3*h - 3. Let w be z(-3). Suppose -7*b = -4*b - w. Calculate the remainder when 23 is divided by b.
7
Let f(v) = v**3 + 5*v**2 + 2*v - 1. What is the remainder when 11 is divided by f(-4)?
4
Let h = -26 + 46. Calculate the remainder when 59 is divided by h.
19
Suppose -w - 5 = 0, 3*u = 4*w - 0*w + 26. Suppose 0 = 3*i - u*i - 17. What is the remainder when i is divided by -2*5/(-2) - 0?
2
Suppose -11 = 2*t + 39. Let h = t + 57. What is the remainder when 62 is divided by h?
30
Let s = 19 - 10. Let h(u) = u + 3. Let m(i) = -i - 3. Let y be m(-6). Calculate the remainder when s is divided by h(y).
3
Suppose f = 6*f + 15. What is the remainder when (-3 - 0)/(f/63) is divided by 16?
15
Let y = -3 + -3. Let r(f) = -7*f - 5. Calculate the remainder when r(-5) is divided by (-147)/(-9) + 2/y.
14
Let p = 18 + -1. What is the remainder when 48 is divided by p?
14
Let z = -282 + 435. Calculate the remainder when z is divided by 39.
36
Suppose 3*y + 4*i - 104 = -y, 15 = -3*i. Calculate the remainder when y is divided by 10 + 1 + (-1 - -1).
9
Suppose -2*w + 10 + 0 = 0. What is the remainder when 17 is divided by w?
2
Suppose -3*i = t - 141, 0 = -0*t - 2*t - 2*i + 286. Let o(z) = 2*z - 1. Calculate the remainder when (-4)/10 - t/(-10) is divided by o(3).
4
Let j(n) = 35*n**3 + 2*n**2 + n. Let g be j(-1). Let c = -24 - g. What is the remainder when 28 is divided by c?
8
Suppose -41 = 6*d - 7*d. Let x = -12 + d. What is the remainder when 86 is divided by x?
28
Let r(m) = -5*m**2 + m - 3. Let l(i) = 9*i**2 - 3*i + 6. Let h(f) = -4*l(f) - 7*r(f). Suppose 5 + 1 = 2*z. Calculate the remainder when z is divided by h(3).
0
Calculate the remainder when ((-26)/(-6))/(2/12) is divided by -8 + 34/10*5.
8
Let a(n) = n**3 - 3*n**2 + 2. Calculate the remainder when 5 is divided by a(3).
1
Let d(b) = -3*b - 4. Let v be d(-3). Suppose 5*l + 6 = 2*h + l, -v*h + 6 = -l. What is the remainder when 1 is divided by h?
0
Suppose 2*s = 5*n - 25, 7*s - 4*n = 6*s - 17. Let p(m) be the third derivative of -m**4/12 - 7*m**3/6 + m**2. What is the remainder when p(s) is divided by 2?
1
Let o(j) = -4*j - 3. What is the remainder when 48 is divided by o(-5)?
14
Suppose -2*p + 29 = -7. Suppose -4*d + 16 = -4*q + 8*q, 3*q = 4*d - 37. Calculate the remainder when p is divided by d.
4
Suppose -4 + 31 = 3*l + 3*m, 2*l - 3 = 3*m. Let t = l - -2. What is the remainder when -1 - 4/((-4)/23) is divided by t?
6
Let c = 99 - 89. Calculate the remainder when (40/(-3) - -1)*-3 is divided by c.
7
Suppose 0 = l - 0 - 2. Suppose -l*w - w = -24. What is the remainder when 15 is divided by w?
7
What is the remainder when ((-6)/(-9))/(2/162) is divided by (-2)/(-1*(80/(-28) + 3))?
12
Suppose 0 = -7*q + 2*q + 90. Let i(z) = z**3 - 11*z**2 - 12*z + 7. What is the remainder when q is divided by i(12)?
4
Let k = 11 - 11. Suppose 4*j - 2*w - 52 = k, 3*j + w = 8*j - 65. Calculate the remainder when 25 is divided by j.
12
Let o(h) = h**3 + 7*h**2 + 11*h + 7. Let f be o(-5). Suppose 5*d - f*d - 5*k = 275, -2*d - 3*k + 196 = 0. Calculate the remainder when d is divided by 24.
23
Let x(j) = -j + 20. Calculate the remainder when 4/(-18) - 735/(-27) is divided by x(6).
13
Suppose -2*z - 72 = -5*h, 8*z = -3*h + 4*z + 38. What is the remainder when 110 is divided by h?
12
Calculate the remainder when 41 is divided by (-8)/(-20) - 103/(-5).
20
Let h(b) = b**2 + 7*b + 9. Let g be h(-7). Suppose 3*r + g = 3*w - 0*w, -w - 25 = 3*r. Let t = r + 14. Calculate the remainder when 19 is divided by t.
5
Let m = 0 - -2. Suppose -5 = -y + m. Calculate the remainder when ((-26)/(-8))/(6/24) is divided by y.
6
Suppose 4*s - 8*s = -108. What is the remainder when s is divided by 4?
3
Let k(t) = 4*t**3 - t**2 - 2*t + 2. Let y(i) = -i**3 - 5*i**2 - 2*i + 3. Calculate the remainder when y(-6) is divided by k(2).
25
Suppose -4*i = 2*n - 10, 2*n = -n + i + 50. Calculate the remainder when n is divided by 9.
6
Suppose -2*v + v = -8. Calculate the remainder when 9 is divided by v.
1
Let l(a) = -a**3 + 8*a**2 + 2*a - 2. Let p = 18 - -35. What is the remainder when p is divided by l(8)?
11
Let k(r) = 35*r - 1. Let w(y) = -y + 5. Let x be w(4). What is the remainder when k(x) is divided by 18?
16
Suppose 4*n - 31 = 5*f, -3*n - 2 = 4*f - 64. Let o = n - 0. Calculate the remainder when 26 is divided by o.
12
Let c = 22 + -32. Let j be c/45 - 542/(-9). Suppose 0*o = -5*o + j. Calculate the remainder when o is divided by 7.
5
Suppose 0 = 3*c + 3*u - 198, -3*u + 5 = 2. Let o = -24 + c. What is the remainder when o is divided by 21?
20
Let x(b) be the third derivative of b**4/12 - 5*b**3/6 + 2*b**2. Calculate the remainder when 32 is divided by x(8).
10
Let h(s) = s**3 + 2*s - 2. Suppose -4 = 4*j - 2*p - 2*p, -40 = -5*j - 4*p. Let k = j + 2. Calculate the remainder when h(2) is divided by k.
4
Let b = 68 - 37. What is the remainder when b is divided by 8?
7
Suppose 0 = -3*k, -c + 0*c - 2*k + 20 = 0. Let i = 4 - -8. Calculate the remainder when c is divided by i.
8
Suppose -2*v + v - m = 1, 4*m = 3*v - 11. Let w = v + 2. Suppose 15 = 3*p - 2*f - 0*f, 0 = w*p + 4*f - 33. Calculate the remainder when p is divided by 4.
3
Suppose -1 = 5*q - 6. Suppose 4*t + q - 41 = 0. Calculate the remainder when t is divided by 4 + 1/(-3 + 2).
1
Calculate the remainder when 272/9 - (-4)/(-18) is divided by 16.
14
Let m(c) = -6*c - 5. Let s be m(-5). Let i = -2 + s. Calculate the remainder when 91 is divided by i.
22
Let j(b) = 2*b**3 - b**2 - 3*b + 2. Let v be j(2). Calculate the remainder when 8 is divided by 18/4 - (-4)/v.
3
Let h(w) = -w**3 + 4*w**2 + 2*w - 3. Let y(v) = v**2 + 4*v + 3. Let m be y(-4). Calculate the remainder when 45 is divided by h(m).
9
Suppose 0 = 3*j - 23 - 19. What is the remainder when j is divided by 4?
2
Let n(o) = -o**2 - 15*o - 3. What is the remainder when n(-13) is divided by 2 + (10 - 2) + 2?
11
Suppose -l + 56 = -2*b, 2*l - 29 - 74 = b. Suppose 4*y + 5*n = 42, -4*y + 3*y - 2*n = -9. What is the remainder when l is divided by y?
11
Calculate the remainder when 30 is divided by (-21)/14*16/(-3).
6
Let a(l) = -20*l - 64. Calculate the remainder when 163 is divided by a(-6).
51
Let d(k) = 3*k**2 - 4*k. Let x = -105 - -149. What is the remainder when x is divided by d(3)?
14
Suppose 5*l + 63 + 102 = 0. Let b = l - -98. What is the remainder when b is divided by 22?
21
Let d(o) = 10*o**3 - 2*o**2 + o. Calculate the remainder when 762/30 + 4/(-10) is divided by d(1).
7
Suppose 5*p - 7 = 2*w, -p - 2*w = 2*p - 1. What is the remainder when 31 is divided by (1 - p) + (-1 - -18)?
14
Suppose 3*i + 7 = y + 12, -y - 4*i + 9 = 0. Suppose 0 = -3*r + 2 + 1. What is the remainder when r is divided by y?
0
Let z(f) = f**3 - 14*f**2 + 12*f + 18. What is the remainder when 9 is divided by z(13)?
4
Suppose 1 = -2*t - 4*c - 11, 5*c + 25 = 0. Let j = 6 + t. Let q(f) = 6*f. Calculate the remainder when j is divided by q(1).
4
Let i(b) = b**2 - 7*b - 6. Let m be i(8). Calculate the remainder when 5 is divided by (2 - 2)/(-3) + m.
1
Suppose -5*t + 57 = -2*i - 101, -4*t - 53 = i. Let r = -44 - i. Calculate the remainder when r is divided by 7.
4
Suppose 3*u + j - 29 = 0, -6*j = -4*j - 4. Let a(f) be the third derivative of -f**4/6 - f**3/3 + 2*f**2. Calculate the remainder when a(-7) is divided by u.
8
Suppose -2*i = -10 - 6. Let o = 129 + -68. Suppose -4*c = -3*u + o, -5*u + 5*c + 42 = -53. What is the remainder when u is divided by i?
7
Let a be 10 - (3/(-1) + 5). Suppose -4*s - a = -68. Calculate the remainder when 72 is divided by s.
12
Suppose -2*c - 18 = -5*c. Let p = 4 + 13. What is the remainder when p is divided by c?
5
Suppose 3*m - 4 = 5. Let k be -1*(2 - 3) - -7. What is the remainder when 47/5 - k/20 is divided by m?
0
Let w = 14 - -14. What is the remainder when w
|
{
"pile_set_name": "DM Mathematics"
}
|
*((m/(m/(m**(-2/7)*m*m)))/(m*m**4))**(-12) assuming m is positive.
m**(17067/476)
Simplify ((a*a*a**1)**13)**(-14)/((a/((a*a**(-4))/a)*a)/(a/((a/(a**(2/3)*a*a)*a)/a)))**(2/49) assuming a is positive.
a**(-80282/147)
Simplify ((l**(-1/4)*l*l)**(-3/4)/(l**(-1/2)/l*l*l**(-6)*l))/((l/(l**(3/4)*l))/(l/(l*l/(l**(-4)/l)))*(l*l*l*l**0)/l*l**(2/3)) assuming l is positive.
l**(-179/48)
Simplify ((t*t**(-7)/t)**12*((t*t*((t**(-3/14)/t)/t)/t)/t)/t**35)**(2/11) assuming t is positive.
t**(-1697/77)
Simplify ((w**(2/25)/w**(1/6))/(w**(1/4)/w**(3/2)))/((w/(w/(w/(w*w/(w*w/w**(-2))))))/w**(-9)*(w**8/w)/(w*w**2)) assuming w is positive.
w**(-4451/300)
Simplify ((t**3/t)**(9/7))**42/(t**(2/21)*t**2*(t/(t*t*t**(-1)*t))/(((t/t**(-6))/t)/t)) assuming t is positive.
t**(2350/21)
Simplify (x**(-4)/x**4*(x*(x**(-2/7)*x)/x*x)**50)/((x**0*x*x**3)/(x**5*(x*x**6)/x)) assuming x is positive.
x**(593/7)
Simplify ((k*k/k**(-2)*k*k)**(-48))**(-16)/(((k/(k**1/k))/k)**(-1/43)*(k**(8/7)*k)/(k*k**(-3/5))) assuming k is positive.
k**(161219/35)
Simplify (((l**(2/13)/l**6)/(l**5)**(4/11))**(-37))**(-2) assuming l is positive.
l**(-81104/143)
Simplify (((c/c**(3/2))/c)/(c*c/c**8))**(-1/12)/(((c**3/c)/c*c)**1)**(-4/17) assuming c is positive.
c**(13/136)
Simplify ((x**(2/5)*(x*(x**(-6)/x)/x)/x*x**(-4/7)/(x**0/x))**(-31))**(19/2) assuming x is positive.
x**(147839/70)
Simplify ((l/((l*l**(2/23))/l)*l)/l**3*l**(1/2)/l**(-2/11))/((l**(-2/5))**24)**(5/4) assuming l is positive.
l**(5867/506)
Simplify (q/(q/q**2)*q**(-1))**18/((q**(-1/3)*q*q)**(-1)/(q/(q**(2/7)/q)*q)**43) assuming q is positive.
q**(2864/21)
Simplify (q**(3/10)/(q*q/(q*q**(-13)/q*q)))**(-20/7)/((q**(-11)*q)/(q*q/q**5))**16 assuming q is positive.
q**(1058/7)
Simplify (h**(-5)*h/h**(5/2))**(-10/13)/(h**(1/5)*h**4)**5 assuming h is positive.
h**(-16)
Simplify y**(-2/5)*y**(3/5)*(y/(y**6/y*y*y))/y**(-4)*((y**1/y)/y)**(10/9)/((y**3/y)/(y**(-1)/y)) assuming y is positive.
y**(-311/45)
Simplify (v**(1/4)/v*v*v**(-1))/(v**(3/4)*v*v/(v*v**(5/6)/v))*(v/v**(-1))**(8/3)/(v**(2/3)*v**(-1/2)/v) assuming v is positive.
v**(7/2)
Simplify (((j/(j/(j*j*j**(2/5))))/(j/(j*j**(4/27)*j)))/((j/((j/(j*j**(-35)))/j))/(j*j/(j**(-1)*j))))**(2/47) assuming j is positive.
j**(10408/6345)
Simplify (((d*d**(2/15)*d*d)/(d/d**12*d)*(d*d**2)/d**(4/9))**(2/53))**49 assuming d is positive.
d**(69188/2385)
Simplify (x**(1/2)/x*x**0)**(1/14)*(x**5*x**(-2/7))**26 assuming x is positive.
x**(3431/28)
Simplify (i*(i/i**1)/i)**33/((i/(i*i**(3/2)*i)*i)/i**(1/4))*(i**(-5)*i/(i*i*(i/(i*(i/i**(3/5))/i)*i)/i))/((i*i**(1/3)*i)/i)**(-10/7) assuming i is positive.
i**(-1237/420)
Simplify (t/(t**21/t*t)*t**(-5/2))/(t*((t/((t*(t**10*t)/t*t)/t))/t)/t)**(-14/11) assuming t is positive.
t**(-73/2)
Simplify (((b*b/(b/((b/b**(6/11)*b)/b*b)))/b**(2/13))**39)**(-1/24) assuming b is positive.
b**(-329/88)
Simplify ((f*f**(-11/8)*f)/(f*f**(-3/26)))/(f**(6/7)*((((f*f**9)/f*f)/f)/f)/f*f) assuming f is positive.
f**(-6637/728)
Simplify t**(-5)*t**(2/5)*t*(t/t**0)/(t/(t/((t/(t**0*t))/t)))*((t/(t**(-1)*t))**(4/29))**8 assuming t is positive.
t**(-72/145)
Simplify (((a*a**1/a)/a)/(a**29/a)*a**(3/10)/(a/(a**(-9/8)*a)))**34 assuming a is positive.
a**(-19601/20)
Simplify (a*a*a/(a*a*a/a**(1/7)*a*a*a)*a*a*a*(a/a**(-3)*a)/a*(a*a**6*a)/((a*a*a*a**(-7)/a*a)/a))/(a**(4/9)/(a*a**11))**(-1/35) assuming a is positive.
a**(5296/315)
Simplify (((x*x**(2/7)/x)/x)**(-50)*(x**(2/5)/x)**(-15))/((x**(-6)/x**(2/3))/((x**(1/6)*x)/((x/((x**(6/7)*x)/x)*x)/x))) assuming x is positive.
x**(2201/42)
Simplify ((d/(d/d**4))/(d/(d/(d**11*d))))**(-50)/((d**2*d)**(3/26)*d**(-6)*d**(3/5)) assuming d is positive.
d**(52657/130)
Simplify ((h**(-2/19))**(3/29)/(((h**(-12)/h)/h)/(h*h**(2/21))))**(1/15) assuming h is positive.
h**(174541/173565)
Simplify (n*n*n**4/n*n*n**(-3/4)*n)/((n/n**7)/(n**(3/2)/n))*n*n**7/n*n*n*n**(-9)*n**(-4/9)/n**(-2/5) assuming n is positive.
n**(2287/180)
Simplify ((w**(2/7))**(-42))**(5/2)*w**(-1/3)/w*w/w**(2/3)*((w*w*w**(1/4)*w*w)/w)**(2/13) assuming w is positive.
w**(-61/2)
Simplify (((l/l**(6/5))/(l**(-4)/l))/(l**1/l)**(-4/5))/((l**4/l**(2/5))/(l*l*l**(-1)*l)**(-7/5)) assuming l is positive.
l**(-8/5)
Simplify (q*q**6*q*q)/(q/((q*q*q*q**(5/3))/q))*(q*q**(1/2))**16*(q**(-1/3)*q*q**(1/5))**(-18) assuming q is positive.
q**(301/15)
Simplify (k**(-7)*k/k**(-3/7)*k*(((k*k**(4/19)*k*k*k)/k)/k*k*k)/(k/k**(3/20)))**(-17) assuming k is positive.
k**(54757/2660)
Simplify ((((r**(1/2)*r)/r)/r*r)**(-26))**(-2/33)/(r**(-3/5)*r*r**(-1/17))**(1/63) assuming r is positive.
r**(46091/58905)
Simplify ((d/(d/d**6)*d**(5/2)*d/d**(-8)*d**(-3/2)/d)**(-1/15))**(-1/2) assuming d is positive.
sqrt(d)
Simplify (((z**19/z)/(z*((z*z*z*z**(-1/2)*z*z*z)/z*z)/z*z))**(-7/9))**(-1/42) assuming z is positive.
z**(23/108)
Simplify ((z**(2/5)*z*((z**3/z*z)/z)/z)/(z*z/(((z/(z*z*z**0*z))/z)/z))**(-35))**8 assuming z is positive.
z**(8496/5)
Simplify (((p/p**(2/37))/(((p/(((p/p**(-8))/p)/p))/p)/p))/(p/p**5*p*p*p**(3/11)*p))**(1/27) assuming p is positive.
p**(3937/10989)
Simplify ((k**(-12)*k*k**(-14))/(k*k/(k*k**(13/5)*k)*k**(-14)))**17 assuming k is positive.
k**(-714/5)
Simplify (((h*h**5/h*h*h*h**(2/3)/h)/(h*(h/(h**(-1)*h)*h)/h)**(3/7))**(8/9))**(-8) assuming h is positive.
h**(-7808/189)
Simplify (l**0)**6*((l*l*l**(-2/7)*l)/l)/(l*l**(2/5)/l)*((l*l/l**(-1))/l)**(-3/31)*l**(-2/7)*l**5*l assuming l is positive.
l**(7416/1085)
Simplify ((((r*r**6)/r)/(r*r**3)*r**(-2)/(r/(r*r**(2/5)/r)*r*r))**(-22))**(-40) assuming r is positive.
r**(-2288)
Simplify (b**(-3)*b*b*b*(b**(-15)/b)/b)**24/((b*(b**(-4)/b)/b*b/b**(2/3))/((b/(b*b**(2/7)))/b**8)) assuming b is positive.
b**(-8644/21)
Simplify q**4/((q/(q**4*q*q*q))/q)*(q*q*q/q**4)/(q*q**6)*(((q*q**(5/6))/q)/(q**(2/13)/q))/(((q/((q*q**(-3/4))/q))/q*q)/(q**(-2/9)/q)) assuming q is positive.
q**(799/468)
Simplify ((m**0)**29/(m**(-2)/(m*m**(-5/2)*m)))/((m**(-1/2))**48/((m*m**0/m)/m)**(-6/11)) assuming m is positive.
m**(573/22)
Simplify (n**(2/7))**(-19)/(n/n**(1/6)*n*n/(n/n**(-4)))*n**(-2/9)/n*n**5/n*n*(n*n*n**(-2/7)*n*n)/n*n**(1/13)/n assuming n is positive.
n**(3779/1638)
Simplify ((x**6/(x*x**(-3)/x)*(x**(-1/9)/x)/(x**(-2/9)*x*x*x))**(-2/11))**(-2) assuming x is positive.
x**(184/99)
Simplify ((x**(-1))**(-13)*x**(1/2)*x*x/(x*((x*x**7*x)/x)/x*x))/((x**(2/7)*x)**(-11)*x**4/(x**(-6)/x*x)) assuming x is positive.
x**(149/14)
Simplify ((t/t**4*t*t*t)**(-44)*t**(9/2)*t**1)**(-15/4) assuming t is positive.
t**(-165/8)
Simplify (u/(u**(-1/3)*u))**(-1/16)*(u**(-1/2))**(11/5)*((u*(u/(u**(2/9)/u))/u)/(u*((u/(u**(-1)*u))/u)/u))/(u**(-1)/u)**(-36) assuming u is positive.
u**(-51367/720)
Simplify (((j/(j**(-2/9)*j))/j)/j**1*(j**(-1))**(12/13))/((j**(-1)/j)/((j*j**(-3/4))/j)*(j**1)**(-25)) assuming j is positive.
j**(11021/468)
Simplify (((j*j**(1/2))**(-5/6)/((j/j**(-1))/j)**(-26))**(-7/2))**(-8/9) assuming j is positive.
j**77
Simplify (((c*c/(c/(c**(-2)/c)))/c)/c**1*(c**(-1/4))**(1/43))/(((c**(3/4)/c)/c)**(31/3))**4 assuming c is positive.
c**(24593/516)
Simplify (s**(1/8)*s*s/(s*s**4))**(-2/9)*s**(-3/8)/s**(-1/7)*(s**(-1/4))**(4/9) assuming s is positive.
s**(149/504)
Simplify (b*b**(-5)*b*b/b**7*b**0*(b/(b/(b*b/(b*b**(3/7)/b))))/b)/((b**(-1/2))**(-9)/(b**(3/4)/b**(-1/6))) assuming b is positive.
b**(-1009/84)
Simplify (((b**(10/11)/b)/b)/(b**10/b)*(b**(1/4)/b)**(-2/55))**(-31) assuming b is positive.
b**(34317/110)
Simplify ((r*r*r*(r/r**(-5/6))/r*r)/(r*r/(r*r**(-7/4))*r*r))/(r**(-1))**8*(r*r*r*r**(-2)*(r*r**(-6)/r)/r)**(-33/4) assuming r is positive.
r**(691/12)
Simplify ((m**(-1))**(21/2))**14/((m*m*m/(m**(2/3)/m))**20*m**(-1/3)*m*m**(2/9)) assuming m is positive.
m**(-1931/9)
Simplify (q**(-6)/(q/q**(-2/11)*q))**44/(q/(((q*q**(-6)*q)/q)/q)*q*q*q**6)**7 assuming q is positive.
q**(-465)
Simplify (((q**(-1/5)*q)/q*q*q**2)/(q**5*q**(-6)))/(((q**(-5)/q)/q*q)/q**(-6)*(q/((q*q**0*q)/q))**(-10/7)) assuming q is positive.
q**(19/5)
Simplify ((w*w*(w/(w**(-1)*w))/w)**45/(w**(-1)*w)**(1/8))/((w**0)**(2/17)/((w**(-2/7)*w)/w)**6) assuming w is positive.
w**(618/7)
Simplify (((s/s**6*s**(-1/7))**(-37))**(-24/13))**(-1/3) assuming s is positive.
s**(10656/91)
Simplify ((s*s**0*s)/((s/((s/s**(4/7))/s))/s*s)*(s**1*s)/(((s**(2/7)*s)/s)/s))/(s**(-2/11)*s/s**(-4)*(s*s**(-8))/s**(-3/4)) assuming s is posi
|
{
"pile_set_name": "DM Mathematics"
}
|
Is l(n) composite?
False
Suppose -2*d + d - q - 7797 = 0, -4*d - 31163 = -q. Let c = -4709 - d. Is c composite?
False
Let i(m) = -m**3 - 4*m**2 + 2*m - 8. Let d be i(-5). Let v(l) = 352*l + 53. Is v(d) a prime number?
False
Let n = 21 + -20. Let c be (-1)/(3/(-6)*-1). Is 20 - 3*(c + n) a prime number?
True
Let z = -14 + 19. Suppose 4*s = -z*q + 973 + 886, s = -2*q + 743. Is q composite?
True
Suppose -3*o = -2*z + 97765, o = 2*z - 148546 + 50783. Is z a composite number?
True
Let s(d) = -384*d - 2. Let k = -23 - -21. Let t be s(k). Suppose t + 64 = 2*j. Is j composite?
True
Let v(u) = 312*u**2 - 11*u - 37. Is v(-4) a composite number?
False
Let t = 6750 + -2025. Is (2/4)/(t/4722 + -1) a composite number?
False
Let x(s) = -39*s**2 - 18*s - 11. Let q be x(6). Let w = 2724 + q. Is w prime?
True
Let i = 43207 - 30226. Is i composite?
True
Let r = 1223 - -2447. Suppose -5*k + r = -q, -2*k - 3*q - 1468 = -4*k. Is k prime?
False
Suppose -53*w + 9834 = -47*w. Is w a composite number?
True
Let v(a) be the first derivative of 2*a**3/3 - a**2 + 13*a - 18. Is v(-11) a prime number?
True
Suppose 0*b - 18 = -b - 4*r, -2*b = 2*r - 12. Is 3/b*1888/24 composite?
True
Suppose 0 = -4*k + 16*k - 51924. Is k a composite number?
False
Let u = -48 - -42. Is (-9)/u*2/(-3)*-331 prime?
True
Suppose 2*t + 51744 = 2*z, 0 = -4*t - 20. Is z prime?
True
Let s = 1051 - -178. Is s prime?
True
Let v = 5845 - 4008. Is v a composite number?
True
Suppose 2*x + 8 = g, 3*x - 4*g + 5 + 2 = 0. Let j be 217/35 + 1/x. Suppose s + 335 = j*s. Is s a composite number?
False
Let d = 96 + -88. Is (5622/d)/(69/644) composite?
True
Suppose 3*s - b - 20 = 3*b, 4*s + 15 = -3*b. Let f be 2 + 4/16*s. Suppose f*y = -j + 189, j + 2*y = -2*j + 563. Is j a composite number?
True
Suppose 924 = 7*y - 35763. Is y composite?
True
Is (-55)/66*-902 - (-4)/(-6) prime?
True
Let r(y) = 4*y**2 - 6*y + 2. Let v be r(3). Let p(u) = 2*u**2 - 9*u + 3. Is p(v) a composite number?
True
Suppose 56 = 4*i + 4*v, 38 = 2*i + 7*v - 3*v. Suppose 2*r - i*r + 469 = 0. Is r composite?
False
Let f = 432 - 13. Is f composite?
False
Let n(u) = -213*u + 365. Is n(-17) a composite number?
True
Let c(k) = 2*k**2 - k - 6. Let v be c(2). Suppose v*t = -2*m - 3*t + 8216, 0 = 4*m + 4*t - 16436. Is m composite?
False
Let d(c) = -c**3 + 4*c**2 - 2*c - 3. Let z be d(3). Suppose 4*x - 108 - 4 = z. Suppose -m - 9 + x = 0. Is m composite?
False
Suppose 4*v = 5*h - 121, -2*h + 0*v + 49 = -v. Suppose 5*n - 4*u = h, -u = -4*n + 2*u + 20. Suppose -n*f + 774 = -496. Is f composite?
True
Let t(x) = -7*x**2 - 177*x + 7. Is t(-16) prime?
False
Suppose -32*d + 23432 = -24*d. Is d a prime number?
False
Let y(j) = -j**3 + 8*j**2 - 5. Let s be y(7). Let n(d) = 3*d - 3*d - 1 - d**2 - d - s*d**3 + 0*d**2. Is n(-1) a composite number?
False
Let l(r) = -5532*r - 247. Is l(-5) a composite number?
True
Let n = 10208 + 22032. Suppose 18548 = 4*j - n. Is j prime?
True
Let r(d) = 4 - 6 - d**3 - 7 + 3*d**2 - 11*d**2 - 19*d. Is r(-8) a prime number?
False
Let c(i) be the second derivative of -7*i**5/20 - 5*i**4/12 - i**3/2 + i**2 - 2*i. Is c(-4) a composite number?
True
Let p(q) = q + 9. Suppose d + 3*y = -y + 10, y = -5*d + 50. Is p(d) prime?
True
Is (4/(12/12661))/(7/21) prime?
False
Let u = 11232 + 959. Is u composite?
True
Let v(a) = -428*a**3 - 5*a**2 + a + 2. Let q be v(-2). Suppose 18*h + q = 22*h. Is h prime?
False
Is (-35 - -7)*(-4271)/4 a prime number?
False
Let w = -2498 + 3956. Let n = 2464 - w. Let r = -699 + n. Is r a prime number?
True
Let y = 754 + 4455. Is y composite?
False
Let x be (8 - 69)*(-2 + 1). Suppose 5*v - x + 11 = 0. Is -1 + (6*v)/1 a composite number?
False
Let s(u) = -2 + 0*u**2 + 11*u**2 + u**3 + 7 + 7 + 9*u. Is s(-10) a composite number?
True
Let i be 10/(-2)*2/(-5). Suppose -6*b + i*b + 16 = 0. Suppose b*v - 77 - 27 = 0. Is v prime?
False
Suppose 8*i + 4 = -36. Let c(r) = -7*r**3 - 7*r**2 - r + 2. Is c(i) a prime number?
False
Let r(o) be the first derivative of 1192*o**3/3 + o + 1. Suppose -2 = 3*i + 9*v - 4*v, 3 = -2*i - 5*v. Is r(i) prime?
True
Let b(h) = 4*h**3 + 6*h**2 + 21*h + 2. Is b(9) composite?
False
Suppose 0 = -3*o + 2*o - 4, 3*o = -3*r + 312. Let v be (-5 + 2)*(-15)/9. Suppose -v*z + 122 = -r. Is z a composite number?
True
Let z(s) = 2*s**2 + 27*s + 56. Let k be z(-20). Let f = k - -15. Is f a composite number?
False
Let k be (-70)/(-8 + 7)*(-114)/(-4). Let h = k - -710. Is h prime?
False
Let i = 1 + 2. Let h(a) = -a + 1 - 2*a - i*a. Is h(-2) a composite number?
False
Let b(p) = -p + 12. Let d be b(13). Let r(c) = 120*c**2 - 2*c - 1. Let j be r(d). Suppose -3*z + 1064 = -j. Is z prime?
False
Suppose -3*x + 58 = 55, -2*z + 23357 = -5*x. Is z prime?
True
Suppose -7*z + 8*z = 3. Suppose z*c - 2097 = -0*c. Is c composite?
True
Suppose 33*m = 2*m + 1330427. Is m a composite number?
True
Let l(n) = -756*n + 410*n - 547*n - 312*n - 12. Is l(-1) a composite number?
False
Suppose n - x - 1269 = 185, 2*x = -n + 1457. Suppose w - n = -4*w. Is w prime?
False
Let y = -41 - -226. Suppose -g - y = -6*g. Let m = g + -12. Is m a composite number?
True
Suppose a = -4, 0 = -3*f - 2*a + 3*a + 33805. Is f composite?
True
Suppose 6*u - 3*u - 3*c - 11796 = 0, 2*c + 15738 = 4*u. Is u a prime number?
False
Let p(y) = -41*y**2 - 7*y - 4. Let w be p(-4). Let k be -2 - (4 - w)/(-4). Let c = k + -74. Is c a prime number?
True
Suppose 0 = z + 3*c - 4701, -5*z - 3*c = -0*c - 23445. Suppose -18*a + 12*a = -z. Is a a prime number?
False
Suppose 3*j - 10*z + 15*z = 207939, -4*j - 5*z = -277252. Is j a composite number?
False
Let j(u) = u**2 + 5*u - 1. Let l(s) = s**3 - 2*s**2 - 3*s + 3. Let p be l(2). Let d be j(p). Let v(m) = -m**3 - 6*m**2 + 3*m - 9. Is v(d) a prime number?
True
Suppose 5*w - 6503 = -3*n, -2618 = -2*w + 3*n - 0*n. Is w prime?
True
Suppose 76503 = 54*u - 354471. Is u a prime number?
False
Suppose -3*v - 128 = -4*s, 4*s + v = 63 + 49. Suppose -6 - s = -5*c. Suppose -c = 4*t - 243. Is t a prime number?
True
Suppose 3*x + 25 + 11 = 0. Let b(r) = -124*r - 7. Is b(x) a composite number?
False
Let q = -22390 + 45759. Is q a composite number?
False
Let o = 4 - 9. Let y be o/7 + (-6)/21. Is y*(1 + 468/(-1)) a prime number?
True
Suppose -b + 4*b + 4*w = 12323, -b + 2*w + 4111 = 0. Is b composite?
True
Suppose 0 = 2*n + 6 + 22. Let x = n + 16. Suppose x*b = -2*b + 892. Is b a composite number?
False
Suppose s + 4*n - 15 = 0, -s + n - 7 = 3. Let h(r) = 8*r**2 + r - 1. Is h(s) composite?
True
Suppose -5*t - l - 958 = -9471, 0 = 5*t - 4*l - 8523. Is t a prime number?
False
Let x(k) = k**2 + 5*k + 2. Let j be x(-5). Let f = -59 - -57. Is (443 - (-5 - f))/j prime?
True
Let a = 27 + -11. Suppose 2*c + 4 = 4*f, 3*c + 4*f - 3*f = 8. Suppose c*w = 8, -2*j + a = -w - 18. Is j a prime number?
True
Let i = -13 + 16. Suppose i*u - 3207 = 2*u - 2*k, 4*k - 16023 = -5*u. Is u composite?
False
Let z(o) = -33*o**2 + 4*o + 27. Let j(g) = 99*g**2 - 12*g - 81. Let t(s) = 3*j(s) + 8*z(s). Is t(6) a prime number?
False
Let z(n) = 161*n**2 + n + 1. Suppose 4*j + 0 - 4 = 0. Is z(j) prime?
True
Let n = -21 - -21. Let d = n - -2. Is (d/3)/(8/300) a composite number?
True
Suppose 2*x + 0*x + 176 = 0. Let p be (-4 + 1)/(12/x). Suppose 8 = 3*j - p. Is j composite?
True
Suppose 21*a - 466941 + 168930 = 0. Is a composite?
True
Suppose 4*o = -12, -g + o + 441 = 19. Is g prime?
True
Suppose -3*a + 7*a + 24 = 0. Let r be (5 + a)*0/2. Suppose 0 = 3*c + 12, r = -2*q + q + 5*c + 199. Is q a composite number?
False
Suppose -42*o + 44*o = 4064. Let l = -461 + o. Is l a composite number?
False
Suppose -2*z = 4*w - 0*z - 38, -5*w - 3*z = -45. Suppose -w = -c + 2. Suppose -12*h - 958 = -c*h. Is h prime?
True
Suppose 5*i + 4*z = 28879, 1839 = 2*i - z - 9723. Is i composite?
False
Let f = -32982 - -50705. Is f prime?
False
Is (12/(-8))/(1/(-3314)) a prime number?
False
Let z(w) = w**3 + 19*w**2 - 24*w + 47. Let a be z(-20). Suppose -v + 28 = -a. Is v composite?
True
Let t = 38705 + -2467. Is t a composite number?
True
Suppose -r - 4*x + 27855 = 0, -26746 = -2*r - x + 28950. Is r composite?
False
Suppose -53618 = -13*x - 11251. Is x a composite number?
False
Let g be (-2 + 0)*(-16)/4. Suppose -12 + g = 4*m. Is -2 + 178 + 4 + m composite?
False
Let x(j) = 534*j**3 - 14*j + 21. Is x(3) a
|
{
"pile_set_name": "DM Mathematics"
}
|
/(7 - 5). Let n(q) = -4*q**3 + 5*q**3 + 13*q**2 - 3*q**j. Determine n(-10).
0
Let v(y) be the third derivative of -y**6/120 + y**5/30 - y**4/24 - y**3/3 - y**2. Suppose 7*t - 11*t + 12 = 0. Let i be -3*(-2)/9*t. Calculate v(i).
-4
Let n(a) = -6*a - 13. Let q be n(-4). Suppose -v = 2*z - 5 + 8, 4*z + 3*v = -q. Let c(x) = x**3 - 3*x**2 + x. What is c(z)?
-1
Suppose 2*p = 5*l + 37, -3*p + 0*l + 3*l + 33 = 0. Let y be 1 + 1 + p + -5. Let k(m) = -9*m**3 + m**2 + 6 + 10*m**y - 2*m**2. Give k(0).
6
Let b(y) be the first derivative of y**2 + 32*y + 65. What is b(-16)?
0
Suppose 0*k - 28 = -7*k. Suppose 0*w + k*w - 12 = 0. Let p(b) = 2*b - 4. What is p(w)?
2
Let x = 2 + -2. Let o = -14 + 16. Let w(p) = -14 + 2*p**2 + 3*p**2 - p**3 + 13 - 4*p**o. What is w(x)?
-1
Suppose 19*g = -2*g - 105. Let b(v) = 3*v + 5. What is b(g)?
-10
Let l(r) = r - 14. Let k(z) = 4*z**2 + 20*z + 8. Let a be k(-5). What is l(a)?
-6
Suppose -a - w = -10, 9 = 4*a - 3*w - 3. Suppose 44 = 20*c + 2*c. Let g(f) = 0*f**3 + f - 2*f**c + 8 + 4*f**2 + 4*f**2 - f**3. Give g(a).
14
Let z be 4/(-22) - (-24)/132. Let w be z/3*(1 + 0). Let y(g) = -g**2 - 7. Determine y(w).
-7
Suppose 14*n + 2*n = 336. Suppose n = 6*h - 9*h. Let o(m) = m + 4. Determine o(h).
-3
Let j be (1 - 32/12)*-3. Suppose 3*t = -j*z + 22, 4*t + 5*z - 30 = -t. Let m(k) = -5*k - 2*k + k - k**2 - t. Give m(-6).
-4
Suppose a = 5*a - 8. Let l(n) = -n**3 - 4*n**2 - n - 1. Let g be l(-4). Let q(j) = j**2 + 4 - g*j + 4*j - 8 + 5. Give q(a).
7
Let g(q) = -27*q + 23*q + 5*q + 21*q. Determine g(2).
44
Let s(r) = r**2 + 8*r + 2. Let f(n) = -n**2 + 6*n + 10. Suppose 2*t - 2 - 14 = d, -5*d - 40 = -5*t. Let x be f(t). Give s(x).
-10
Let g be (-17)/((-68)/(-72))*(-4)/3. Suppose 2*q - 5*q + g = 0. Let k(m) = -m**2 + 9*m - 7. Calculate k(q).
1
Let u(i) = 6*i - 22. Let f be u(4). Suppose -4*s - r + 14 = -3*r, -f*s - r + 13 = 0. Let k(q) = 2*q**2 - 5*q - 6. What is k(s)?
19
Let f(a) be the second derivative of 0*a**2 + 0 - 2*a - 13/6*a**3. Suppose 5*b + 5*p + 0*p = 25, 4*p - 13 = 3*b. Determine f(b).
-13
Let j(r) = -6 + 4*r - 4*r - 4*r**2 - 2*r - r**3. Suppose -2*p + 600 = 3*p - 3*q, q - 251 = -2*p. Let d = p - 127. What is j(d)?
2
Suppose -107*q = -108*q + 2. Let m(i) be the first derivative of i + 1/2*i**q + 1/3*i**3 + 1. Calculate m(2).
7
Let q(v) be the second derivative of v**7/2520 + v**6/720 - v**5/60 + v**4/12 + 12*v. Let p(y) be the third derivative of q(y). Determine p(2).
4
Let p(n) = n - 5. Let l be p(6). Suppose -4*q + l + 3 = 0. Let z(a) = a + q + 3*a - 2*a + 1. Calculate z(5).
12
Let u(o) = -o**3 + 3*o**2 + 3*o + 3. Let a = 24 + -20. Let z be u(a). Let i(g) = -2*g + 1. What is i(z)?
3
Suppose 5*d = -4*j + 25, -j = -3*d - 0*d - 2. Let h = -4 - -7. Let s(z) = h + 2*z**3 + z - 7 + 3. Calculate s(d).
2
Let b(j) be the first derivative of -j**5/60 - j**4/12 - 8*j**3 - 30. Let w(x) be the third derivative of b(x). What is w(-3)?
4
Let r(q) = q**3 + 3*q**2 + 6*q + 4. Let p(w) = -w**3 - w**2 + w + 1. Let m(c) = -p(c) + r(c). Determine m(-3).
-30
Suppose -5*r = 31 - 11. Let z(q) = -81*q + 1 - 85*q + 248*q + 1 - 80*q. What is z(r)?
-6
Let j be 2 + 1 + (1 + 3)/2. Suppose j*n + 2 = -8. Let b(x) = x**3 + x**2 - 2*x - 2. Give b(n).
-2
Let g be ((-1)/(-2))/(2/(-12)). Let r(v) = -2*v + 893 - 1777 + 888. What is r(g)?
10
Let r(g) = -5*g**2 + 12*g - 2. Let b(m) = 10*m**2 + 406 - 13*m - 4*m**2 - 404. Let a(n) = -6*b(n) - 7*r(n). Determine a(-5).
7
Let w be (13 + -8)*8/10. Suppose -1 + 13 = w*h. Let l(x) = x**2 - 3*x + 4. Calculate l(h).
4
Let k(z) = -z**3 + 4*z**2 + 11. Let a be 234/(-45)*(-1 + -4). Let t(s) = 6*s**3 + s - 26*s**2 + 7*s**2 - 30 - a. Let h(y) = -11*k(y) - 2*t(y). Calculate h(-6).
3
Let r(v) = 1 - 6 + v - 2*v - 4 + 2*v**2. Let j be r(3). Let g(o) = -o**2 + 8*o - 5. Calculate g(j).
7
Let g(p) = -p**2 + 8*p + 1. Let d = 252 - 246. Calculate g(d).
13
Let v(u) = 4*u**3. Suppose 7*r + 17 = -10*r. Give v(r).
-4
Let w = -52 - -47. Let g(q) = -9*q - 6. Let d(o) = -8*o - 5. Let r(h) = w*d(h) + 4*g(h). What is r(-1)?
-3
Let d(n) = 6*n**2 + 11*n - 21. Let r(y) = 5*y**2 + 7*y - 23. Let o(h) = -4*d(h) + 5*r(h). Determine o(11).
-9
Let p(t) = t**2 - 2*t - 2. Let g = 386 + -389. What is p(g)?
13
Let k(l) = -6*l - 2. Suppose 5*z + 750 = 775. Determine k(z).
-32
Let w = 22 - 22. Suppose 0 = -w*o + 4*o. Let r(p) = -6*p - 4*p + 4*p + 9 + 7*p. Calculate r(o).
9
Suppose -5*i = -6*a + 2*a - 10, -2*i - 4*a + 4 = 0. Suppose i = -4*s + 22. Suppose s*u = 8 + 12. Let j(t) = -t**3 + 4*t**2 + 3*t - 2. Give j(u).
10
Let q = 120 - 86. Let r be 5/(-20) + (-1 - q/(-8)). Let l(k) = k**2 - 6*k. What is l(r)?
-9
Suppose -18*r + 51 = -35*r. Let b(q) = 3*q. Calculate b(r).
-9
Let l(r) = 128*r - 121. Let z be l(1). Let h(w) = 9*w - 15. Determine h(z).
48
Suppose 0*d = -2*d - 12. Let l(z) = -2*z**3 - 12*z**2 + 2*z + 3. Let i(g) = g**3 + 6*g**2 - g - 1. Let f(b) = -7*i(b) - 4*l(b). Give f(d).
1
Let s(n) = -n**3 - n**2 + 4*n + 2. Let b(j) = 2*j**2 + 43*j + 18. Let y be b(-21). Calculate s(y).
8
Suppose 0 = -8*q - 0 + 8. Let i(a) = 11*a**3 - a**2 + a - 1. Determine i(q).
10
Let u(r) = 46*r - 5*r**3 - 9*r**2 - 35*r + 4*r**3 + 2. Let m = 65 + -75. Calculate u(m).
-8
Let i = 136 + -143. Let j(f) = f**3 + 8*f**2 - 3*f. Let y(b) = 3*b**3 + 25*b**2 - 8*b - 1. Let u(c) = 7*j(c) - 2*y(c). Calculate u(i).
-12
Let y(c) = c**2 + 5*c - 7. Let m(o) = o**2 + 11*o + 12. Let z = 8 + -18. Let t be m(z). Let v be ((-5)/(-5))/(t/(-12)). Give y(v).
-1
Let p(y) be the first derivative of -y**3/3 + 5*y**2/2 - 5*y + 80. Determine p(3).
1
Suppose -c + 342*o + 4 = 347*o, 5*o = 0. Let p(x) be the second derivative of x**2 + 0 + 1/12*x**c - 12*x - 1/3*x**3. What is p(2)?
2
Let j(b) = b**2 + 1. Let v = -1158 + 1158. Determine j(v).
1
Let b = -206 - -189. Let f(o) = o**3 + 17*o**2 + 6. Calculate f(b).
6
Let z(m) = -2*m + 8. Suppose -174 = -25*j - 4*j. Determine z(j).
-4
Let s(i) = 338*i - 339*i + 15 - 19. Suppose 4*f + 4*c - 8 = 0, f = 2*f - 5*c + 28. What is s(f)?
-1
Let f(u) be the first derivative of -u**2 - 11*u + 107. Calculate f(-8).
5
Let c(d) = d**2 - 1 + 344*d - 331*d - 4. What is c(-16)?
43
Let p(f) = -f**3 - f**2 - 11. Let m(i) = -4*i**2 - 8*i. Let v(n) = 3*n**3 + 3*n**2 + 3*n + 1. Let g be v(-1). Let q be m(g). Give p(q).
-11
Let t(d) = -2*d + 1. Let b = 425 - 431. What is t(b)?
13
Let s(c) = -11*c**2 + c + 3. Let b(d) = -2*d**2 - d - 1. Let x(j) = -6*b(j) + s(j). Give x(-7).
9
Let t(v) = v - 1. Let h = -1022 - -1029. Give t(h).
6
Let l(b) = 3*b - 1. Let h be l(2). Suppose 10*s = -11*s + 63. Suppose -s*u + h*u + 6 = 0. Let j(o) = -2*o**2 - 3*o + 3. Calculate j(u).
-6
Let f(y) be the first derivative of y**4/12 + y**2/2 - 10*y - 16. Let m(k) be the first derivative of f(k). Determine m(0).
1
Let b(s) = -23*s - 21. Let t be b(-1). Let m(i) be the first derivative of -3/2*i**t - 2 - 2*i + 1/3*i**3. What is m(3)?
-2
Let s(g) be the second derivative of 1/20*g**5 - 13*g + 1/6*g**3 + 2*g**2 - 5/12*g**4 + 0. Determine s(4).
-8
Let x(t) = 4*t + 2. Suppose 0 = -a + 2*g - 9, 4*g - 20 = 6*a - 2*a. Let j be a*(2 - (-1 + -2)). Give x(j).
-18
Let r(f) = f + 6. Let p(o) = -8*o + 2. Let c be p(-1). Suppose 3*g + c = 1. Determine r(g).
3
Let x(f) = f**3 + 7*f**2 - 5 - 1 + 6*f + 0*f**2 + 0. Let b(h) = -h**3 - 6*h**2 - 7*h. Let d be b(-3). What is x(d)?
-6
Let r(t) = -2*t**3 - t**2 + 3*t + 7. Let l be r(-3). Let a(z) = 3*z**2 - l + 62 - 4*z**2. What is a(0)?
19
Let c(a) = -12*a**2 - a. Let k = 50 - 46. Suppose -4*f = 0, 0*f - k*f + 2 = 2*x. What is c(x)?
-13
Let o(i) = -i**2 + 1. Let f be 10/14 - 10/(-35). Let g(w) = -w**3 + 10*w**2 - 4. Let b(n) = f*g(n) + 6*o(n). Calculate b(4).
2
Let t(n) be the first derivative of -3*n**2/2 + 10*n - 505. Let l(f) = -f**3 + 5*f**2 + 8*f - 5. Let p be l(6). Calculate t(p).
-11
Let f(w) be the first derivative of w**2/2 + 6*w + 1. Let i be 9 + 4/8*-30. What is f(i)?
0
Suppose 3*a + 12 = 9*a. Let s(h) = 128*h**a - 3*h - 67*h**2 - 62*h**2. What is s(-3)?
0
Suppose 4*z + 4*w - 11 = 41, 5*z - w - 65 = 0. Let p(c) = z + c - 13 + 10. Determine p(-6).
4
Let t(u) be the third derivative of -u**6/120 + u**5/10 - u**4/3 + u**3/2 - 626*u**2. Calculate t(5).
-12
Suppose -5*s - 7 = 3*k - 4*s, 3*k - s - 1 = 0. Let i(l) = 4*l**2 - 6*l**2 + 0*l**2. What is i(k)?
-2
Let a(h) = 5*h**3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
6, -1, 124
Determine d, given that 4*d**2 - 1175384*d + 86345471716 = 0.
146923
Solve -n**3 + 31249*n**2 - 31248*n = 0 for n.
0, 1, 31248
Factor g**4/4 + 381*g**3/4 - 765*g**2/4 + 383*g/4.
g*(g - 1)**2*(g + 383)/4
Factor 65*l**2/2 + 2293*l/2 + 3147.
(l + 3)*(65*l + 2098)/2
Determine b, given that -4*b**4 + 12012*b**3 + 12024*b**2 - 24032*b = 0.
-2, 0, 1, 3004
Factor -5*n**3 - 2990*n**2 + 12065*n + 15050.
-5*(n - 5)*(n + 1)*(n + 602)
Factor -12*x**2 + 19052*x + 25424.
-4*(x - 1589)*(3*x + 4)
Determine n so that -n**5/7 - 101*n**4/7 + 739*n**3/7 - 1819*n**2/7 + 1830*n/7 - 648/7 = 0.
-108, 1, 2, 3
Factor -4*v**3/9 - 244*v**2/9 - 2440*v/9 + 896/3.
-4*(v - 1)*(v + 14)*(v + 48)/9
Factor -3*x**3 - 69*x**2 + 108*x + 6804.
-3*(x - 9)*(x + 14)*(x + 18)
Determine l, given that l**2 + 407*l + 2406 = 0.
-401, -6
Solve -101*m**4 + 5153*m**3 - 17878*m**2 - 56612*m + 1128 = 0 for m.
-2, 2/101, 6, 47
Factor 2*g**2 - 576*g + 41184.
2*(g - 156)*(g - 132)
Factor 2*l**5/11 - 46*l**4/11 + 152*l**3/11.
2*l**3*(l - 19)*(l - 4)/11
Find f, given that 3*f**2/4 - 4836*f + 9669 = 0.
2, 6446
Solve -2*z**4 + 192762*z**3 - 578268*z**2 - 8*z + 771024 = 0.
-1, 2, 96378
Solve 2*y**3 - 4474*y**2 - 247322*y - 242846 = 0.
-53, -1, 2291
Factor 2*u**3/3 + 382*u**2 - 62238*u + 2256714.
2*(u - 69)**2*(u + 711)/3
Factor -2*z**3/3 - 158*z**2/3 + 2*z/3 + 158/3.
-2*(z - 1)*(z + 1)*(z + 79)/3
Factor -2*y**3 + 122604*y**2 - 1878109080*y - 26317562992.
-2*(y - 30658)**2*(y + 14)
Solve -5*j**5 + 300*j**4 - 6670*j**3 + 65620*j**2 - 255765*j + 196520 = 0.
1, 8, 17
Determine x, given that 9*x**3 - 3126*x**2 + 28419*x - 9126 = 0.
1/3, 9, 338
Let 14*c**5/11 + 12*c**4 + 262*c**3/11 - 368*c**2/11 - 648*c/11 + 608/11 = 0. What is c?
-38/7, -4, -2, 1
Let 3*d**3 + 1242*d**2 + 9717*d - 10962 = 0. What is d?
-406, -9, 1
What is k in -3*k**5 + 162*k**4 + 603*k**3 - 113946*k**2 + 820800*k - 707616 = 0?
-26, 1, 7, 36
Factor -4*z**3/3 + 12*z**2 + 1840*z/3 - 624.
-4*(z - 26)*(z - 1)*(z + 18)/3
Factor -2*z**3/7 + 76130*z**2/7 + 10876*z.
-2*z*(z - 38066)*(z + 1)/7
Determine r so that 20*r**5 + 5655*r**4 - 7095*r**3 + 1420*r**2 = 0.
-284, 0, 1/4, 1
Factor 2*c**2 - 12992*c + 25976.
2*(c - 6494)*(c - 2)
What is i in i**2 + 530*i - 3216 = 0?
-536, 6
Let -2*g**2/9 - 52370*g/9 = 0. Calculate g.
-26185, 0
Let y**5/6 + 24*y**4 + 1336*y**3/3 - 856*y**2/3 - 4984*y + 21472/3 = 0. Calculate y.
-122, -22, -4, 2
Solve -m**4/7 - 225*m**3/7 - 12009*m**2/7 + 11615*m + 872850/7 = 0 for m.
-115, -6, 11
Factor s**4/5 - 30189*s**3 + 1518959535*s**2 - 25475483001175*s.
s*(s - 50315)**3/5
Let 4*d**5/7 - 4*d**4/7 - 3336*d**3/7 + 38152*d**2/7 + 476*d - 38148/7 = 0. What is d?
-33, -1, 1, 17
Factor -3*l**2/4 + 6507*l/4.
-3*l*(l - 2169)/4
Find c such that -2*c**2 - 62248*c = 0.
-31124, 0
Find f such that 9*f**2/5 + 1548768*f/5 + 66630064384/5 = 0.
-258128/3
Factor 4*f**3 - 6600*f**2 + 2780928*f - 47941632.
4*(f - 816)**2*(f - 18)
Let 4*n**3 - 15236*n**2 + 14741756*n - 442471804 = 0. What is n?
31, 1889
Solve 4*g**2 - 334080*g + 6975590400 = 0 for g.
41760
Find z such that -2*z**4 - 70*z**3 - 224*z**2 + 7296*z = 0.
-24, -19, 0, 8
Determine r, given that 4*r**2/7 - 128928*r + 7272312768 = 0.
112812
Solve -5*t**2 - 910*t - 33000 = 0 for t.
-132, -50
Factor 15*p**3/4 + 1175883*p**2/2 + 23045131416*p + 9217958496.
3*(p + 78392)**2*(5*p + 2)/4
Solve -2*l**3/9 + 614*l**2/9 - 34484*l/9 = 0 for l.
0, 74, 233
Factor -l**5 - 115*l**4 - 4305*l**3 - 47385*l**2 + 228150*l + 1423656.
-(l - 6)*(l + 4)*(l + 39)**3
Determine s so that s**2 - 46074*s - 46075 = 0.
-1, 46075
Factor -l**4/2 + 145*l**3/2 - 2464*l**2 + 24442*l.
-l*(l - 101)*(l - 22)**2/2
Determine n, given that -6*n**4 - 1418*n**3 - 42682*n**2 - 14070*n = 0.
-201, -35, -1/3, 0
Let 2*o**4 - 62*o**3 + 666*o**2 - 3010*o + 4900 = 0. What is o?
5, 7, 14
Factor -4*l**2 + 137928*l - 1189008324.
-4*(l - 17241)**2
Factor -5*n**4 - 5905*n**3 - 11790*n**2.
-5*n**2*(n + 2)*(n + 1179)
Factor -11*h**2/9 - 703*h + 31910/9.
-(h - 5)*(11*h + 6382)/9
Suppose -11*h**2/3 - 12786*h + 34880/3 = 0. Calculate h.
-3488, 10/11
Solve 4*s**5/3 + 248*s**4/9 + 536*s**3/3 + 432*s**2 + 2476*s/9 - 440/3 = 0 for s.
-11, -5, -3, -2, 1/3
What is d in -3*d**3/7 + 33798*d**2/7 - 95225856*d/7 + 190316544/7 = 0?
2, 5632
Determine l, given that -5*l**2 - 8265*l - 41200 = 0.
-1648, -5
Factor -u**4/3 - 138*u**3 + u**2/3 + 138*u.
-u*(u - 1)*(u + 1)*(u + 414)/3
Solve 1281*y**3/2 + 49947*y**2/2 - 234*y = 0 for y.
-39, 0, 4/427
Let -7*d**5/3 - 1318*d**4/3 - 18911*d**3 + 501142*d**2/3 - 860636*d/3 - 96040 = 0. Calculate d.
-98, -2/7, 3, 5
Solve -24*h**4 + 3582*h**3 - 51567*h**2 - 40248*h - 6783 = 0 for h.
-1/2, -1/4, 17, 133
Factor 3*m**2/8 + 9651*m/8 - 9657/4.
3*(m - 2)*(m + 3219)/8
Let 2*y**5/3 + 1832*y**4/9 + 264*y**3 - 1888*y**2 + 9728*y/9 = 0. What is y?
-304, -4, 0, 2/3, 2
Suppose -4*a**2/7 + 24460*a/7 - 972000/7 = 0. What is a?
40, 6075
Factor u**5 + 4209*u**4 + 29432*u**3 + 75656*u**2 + 84048*u + 33616.
(u + 1)*(u + 2)**3*(u + 4202)
Determine m, given that 2*m**3/7 + 337262*m**2 + 696690966526*m/7 - 696693327362/7 = 0.
-590209, 1
Let 10*l**2 + 129424*l + 51768 = 0. What is l?
-12942, -2/5
Determine x, given that 12*x**4/7 - 55161*x**3/7 - 289818*x**2/7 - 496956*x/7 - 276120/7 = 0.
-2, -5/4, 4602
Factor -2052338*z**2/9 + 8104*z/9 - 8/9.
-2*(1013*z - 2)**2/9
What is p in 6*p**4/11 + 351588*p**3/11 + 5150588406*p**2/11 = 0?
-29299, 0
Suppose -x**4/6 - 9601*x**3/3 + 38407*x**2/6 - 9602*x/3 = 0. Calculate x.
-19204, 0, 1
Solve 3*q**2/2 + 819*q/2 + 26163 = 0 for q.
-171, -102
Factor -7*x**4 + 267*x**3 - 3315*x**2 + 12337*x + 13182.
-(x - 13)**3*(7*x + 6)
Determine b so that -198*b**5/7 + 9705*b**4/7 - 161715*b**3/7 + 965520*b**2/7 - 825600*b/7 + 12288/7 = 0.
1/66, 1, 16
Let 121*u**3 + 150172*u**2 - 136595*u + 31050 = 0. What is u?
-1242, 5/11
Solve -5*z**5 + 605*z**4 - 5395*z**3 - 17645*z**2 + 49080*z - 26640 = 0.
-4, 1, 12, 111
Find u, given that u**2/2 + 601*u/2 + 1194 = 0.
-597, -4
Determine s, given that s**3/6 + 15643*s**2/6 - 31289*s/6 + 5215/2 = 0.
-15645, 1
Factor -2*w**4/17 + 64*w**3/17 + 7680*w**2/17.
-2*w**2*(w - 80)*(w + 48)/17
Factor 2*c**2 + 141728*c + 2510853248.
2*(c + 35432)**2
Factor h**2/8 - 92*h - 10450.
(h - 836)*(h + 100)/8
Find f, given that -f**3/5 - 163*f**2 - 2432*f/5 + 3248/5 = 0.
-812, -4, 1
Factor 3*d**3/4 - 414*d**2 + 36567*d/4 - 17457/2.
3*(d - 529)*(d - 22)*(d - 1)/4
Factor -t**3/8 + 4141*t**2/2 - 68608085*t/8 + 68574961/4.
-(t - 8281)**2*(t - 2)/8
Suppose -5*b**5 + 95*b**4 - 540*b**3 + 880*b**2 + 320*b - 1200 = 0. What is b?
-1, 2, 6, 10
Find i such that 4*i**3 + 264*i**2 + 3456*i - 31104 = 0.
-36, 6
Determine h, given that 3*h**3/7 - 15*h**2 - 15906*h/7 + 16008/7 = 0.
-58, 1, 92
Suppose q**2/5 - 1292*q/5 - 5184/5 = 0. What is q?
-4, 1296
Factor -5*o**4 - 81675*o**3 - 444965130*o**2 - 809832128580*o - 7252506489960.
-5*(o + 9)*(o + 5442)**3
Factor 5*b**5 - 740*b**4 + 18240*b**3 - 179200*b**2 + 778240*b - 1228800.
5*(b - 120)*(b - 8)**3*(b - 4)
Factor l**3 - 7378*l**2 - 14760*l.
l*(l - 7380)*(l + 2)
Factor 4*a**2 - 54172*a - 54176.
4*(a - 13544)*(a + 1)
Suppose 2*l**5 + 514*l**4/7 + 790*l**3/7 - 1738*l**2/7 + 60*l = 0. What is l?
-35, -3, 0, 2/7, 1
Let a**3/2 - 9*a**2/2 - 36273*a/2 + 2770873/2 = 0. What is a?
-217, 113
Factor -3*s**4 + 47880*s**3 + 287388*s**2.
-3*s**2*(s - 15966)*(s + 6)
Determine k, given that -k**2 + 18660*k - 55971 = 0.
3, 18657
Factor 2*f**3/19 + 1834*f**2/19 - 5516*f/19 + 3680/19.
2*(f - 2)*(f - 1)*(f + 920)/19
Factor -228*a**2 + 676*a + 24.
-4*(a - 3)*(57*a + 2)
Suppose -2*d**2 - 948*d - 1888 = 0. What is d?
-472, -2
What is c in -c**2/5 + 231*c/5 - 648 = 0?
15, 216
Factor -r**3/5 - 282*r**2 - 70616*r/5.
-r*(r + 52)*(r + 1358)/5
Factor -5*v**2 - 635255*v - 1270490.
-5*(v + 2)*(v + 127049)
Let -r**3/6 + 22949*r**2/6 + 275521*r/6 + 252571/6 = 0. Calculate r.
-11, -1, 22961
Find k such that -3*k**5/5 + 588*k**4/5 - 44379*k**3/5 + 1579134*k**2/5 - 25334868*k/5 + 128775528/5 = 0.
9, 46, 49
Let p**2 - 183*p + 362 = 0. Calculate p.
2, 181
Factor -2*g**4 - 19722*g**3 + 98660*g**2.
-2*g**2*(g - 5)*(g + 9866)
Factor -3*x**2 - 17610*x - 17607.
-3*(x + 1)*(x + 5869)
Let -f**2/2 - 294*f + 2965/2 = 0. What is f?
-593, 5
Let -45*f**5 + 26880*f**4 + 180610*f**3 + 356060*f**2 + 181155*f + 27180 =
|
{
"pile_set_name": "DM Mathematics"
}
|
and 1 x?
12/35
Two letters picked without replacement from {k: 5, w: 1, s: 3}. Give prob of picking 2 k.
5/18
Three letters picked without replacement from ewegg. What is prob of picking 2 e and 1 g?
1/5
Calculate prob of picking 3 s when three letters picked without replacement from {d: 2, r: 2, k: 2, s: 2}.
0
Calculate prob of picking 1 z, 1 s, and 1 a when three letters picked without replacement from {r: 2, a: 2, v: 2, z: 1, s: 4, e: 1}.
2/55
Two letters picked without replacement from {j: 3, u: 1, n: 1}. Give prob of picking 1 j and 1 u.
3/10
Three letters picked without replacement from {y: 2, x: 1, t: 2, q: 1, c: 1, i: 1}. Give prob of picking 1 i and 2 t.
1/56
What is prob of picking 3 f when three letters picked without replacement from ffffff?
1
Two letters picked without replacement from txffxfxtxatpqt. What is prob of picking 1 p and 1 a?
1/91
Two letters picked without replacement from jjf. What is prob of picking 1 f and 1 j?
2/3
Calculate prob of picking 1 l and 3 a when four letters picked without replacement from laaaall.
12/35
Four letters picked without replacement from {x: 7, r: 6}. Give prob of picking 1 x and 3 r.
28/143
Three letters picked without replacement from ppqpoopqypptaappo. What is prob of picking 1 a, 1 p, and 1 y?
2/85
Three letters picked without replacement from {s: 11, f: 2}. What is prob of picking 1 f and 2 s?
5/13
What is prob of picking 2 b, 1 e, and 1 h when four letters picked without replacement from {h: 1, b: 2, z: 1, e: 4, k: 3, t: 1}?
4/495
Three letters picked without replacement from {k: 1, z: 2, b: 2, q: 2, d: 1, e: 1}. Give prob of picking 1 e, 1 q, and 1 k.
1/42
Four letters picked without replacement from {k: 2, w: 4, c: 3, l: 1}. What is prob of picking 1 l and 3 w?
2/105
Three letters picked without replacement from srzlspzslzsr. Give prob of picking 1 z and 2 r.
3/220
What is prob of picking 1 s and 3 g when four letters picked without replacement from sggsssssgsgsg?
16/143
Calculate prob of picking 3 r when three letters picked without replacement from rryrry.
1/5
Calculate prob of picking 1 i, 2 v, and 1 c when four letters picked without replacement from rrcvidiirrdrr.
0
Four letters picked without replacement from {q: 3, e: 1, i: 7, v: 5, t: 2}. Give prob of picking 2 t, 1 q, and 1 i.
7/1020
Three letters picked without replacement from {s: 10, i: 9}. Give prob of picking 3 s.
40/323
What is prob of picking 2 z when two letters picked without replacement from wswzzsszszswwss?
2/35
Three letters picked without replacement from lcggggggnllg. What is prob of picking 1 l and 2 g?
63/220
What is prob of picking 1 z and 3 m when four letters picked without replacement from mrzrmmmmmzmzpzzb?
5/52
What is prob of picking 2 y when two letters picked without replacement from xyxyyyyyyyyyyyx?
22/35
Four letters picked without replacement from {a: 1, q: 2, c: 2, w: 1, i: 1}. Give prob of picking 2 c and 2 q.
1/35
Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, g: 17}.
1/171
Three letters picked without replacement from {z: 5, h: 3}. Give prob of picking 2 h and 1 z.
15/56
What is prob of picking 1 t, 1 n, 1 u, and 1 b when four letters picked without replacement from nubettnettttnutn?
2/65
Three letters picked without replacement from eovefir. What is prob of picking 1 v, 1 i, and 1 e?
2/35
Two letters picked without replacement from {r: 1, c: 12, q: 7}. What is prob of picking 1 r and 1 q?
7/190
What is prob of picking 2 u, 1 a, and 1 k when four letters picked without replacement from atkutuktuutuuutkt?
9/340
Four letters picked without replacement from qtjiwtaa. What is prob of picking 1 w, 2 t, and 1 a?
1/35
Calculate prob of picking 2 h when two letters picked without replacement from hahhhhhwkkhwaaxhkhh.
5/19
Two letters picked without replacement from {p: 1, b: 6, z: 1, a: 1, d: 3}. Give prob of picking 1 p and 1 a.
1/66
What is prob of picking 1 b and 1 m when two letters picked without replacement from bhhjmxc?
1/21
Two letters picked without replacement from {v: 1, g: 3, y: 4}. Give prob of picking 1 v and 1 y.
1/7
Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {s: 1, k: 1, d: 2, l: 1, h: 2}.
2/21
Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 4, e: 2, y: 1, o: 1, q: 1}.
1/9
Calculate prob of picking 2 t when two letters picked without replacement from tttthtttttth.
15/22
Calculate prob of picking 1 i and 2 f when three letters picked without replacement from ifissifiisssmsffssss.
1/38
Calculate prob of picking 2 v when two letters picked without replacement from smvvvrmmsv.
2/15
Four letters picked without replacement from cnfsfwsnfwlf. Give prob of picking 1 s, 1 f, 1 c, and 1 w.
16/495
Four letters picked without replacement from {v: 4, c: 3, m: 3, u: 4, a: 2}. What is prob of picking 2 u, 1 c, and 1 a?
9/455
Calculate prob of picking 3 o when three letters picked without replacement from rrrzeroozoeoero.
2/91
Two letters picked without replacement from {y: 2, o: 2, g: 1}. What is prob of picking 1 o and 1 y?
2/5
Three letters picked without replacement from {a: 1, y: 3}. Give prob of picking 3 y.
1/4
Three letters picked without replacement from {x: 3, n: 2, y: 2, j: 6, f: 1, h: 1}. Give prob of picking 2 j and 1 h.
3/91
Two letters picked without replacement from yzy. What is prob of picking 1 y and 1 z?
2/3
What is prob of picking 1 u and 1 v when two letters picked without replacement from sjkvjjkjsubkvsskuss?
4/171
What is prob of picking 1 b, 1 h, and 1 p when three letters picked without replacement from {p: 3, s: 3, h: 2, b: 3, k: 3}?
9/182
Three letters picked without replacement from {b: 4, e: 10}. Give prob of picking 3 b.
1/91
Three letters picked without replacement from {m: 1, r: 4, p: 6, y: 7, o: 2}. Give prob of picking 2 r and 1 o.
1/95
What is prob of picking 2 v when two letters picked without replacement from ktvrvttkrkvrr?
1/26
Calculate prob of picking 3 a and 1 e when four letters picked without replacement from {a: 15, e: 3}.
91/204
Calculate prob of picking 2 e when two letters picked without replacement from {y: 1, e: 3, d: 2, v: 1, l: 1, t: 3}.
3/55
Calculate prob of picking 2 y and 2 h when four letters picked without replacement from {y: 3, h: 13}.
9/70
Calculate prob of picking 2 y and 1 e when three letters picked without replacement from adaleyby.
1/56
Calculate prob of picking 4 l when four letters picked without replacement from {l: 8, k: 3}.
7/33
Three letters picked without replacement from ktnnkcn. What is prob of picking 1 c, 1 t, and 1 n?
3/35
What is prob of picking 2 q and 1 g when three letters picked without replacement from qqqnqqqgnqqgggg?
4/13
Calculate prob of picking 1 e, 1 m, and 1 c when three letters picked without replacement from ueeeeemuc.
5/84
Calculate prob of picking 2 d when two letters picked without replacement from {p: 1, m: 2, d: 4}.
2/7
What is prob of picking 2 j and 1 s when three letters picked without replacement from {h: 2, d: 4, s: 2, j: 4}?
3/55
Three letters picked without replacement from {s: 1, v: 3, f: 3, x: 1, t: 2}. Give prob of picking 1 t and 2 f.
1/20
Calculate prob of picking 2 x when two letters picked without replacement from {x: 3, p: 8}.
3/55
Two letters picked without replacement from uukkkkdddkdduu. Give prob of picking 2 d.
10/91
Three letters picked without replacement from awaawaaaaaaa. What is prob of picking 1 a and 2 w?
1/22
What is prob of picking 1 n and 1 y when two letters picked without replacement from nnunyygiunnn?
2/11
Two letters picked without replacement from {f: 4, j: 10, v: 5}. Give prob of picking 2 f.
2/57
What is prob of picking 1 w and 2 n when three letters picked without replacement from {q: 1, g: 1, p: 1, n: 1, y: 2, w: 1}?
0
Two letters picked without replacement from icrrrrhrchrh. What is prob of picking 2 h?
1/22
Three letters picked without replacement from {e: 1, x: 4, h: 9}. What is prob of picking 2 x and 1 h?
27/182
What is prob of picking 2 k and 2 z when four letters picked without replacement from kzkkkz?
2/5
Three letters picked without replacement from {v: 1, o: 1, x: 1, n: 1, l: 1}. Give prob of picking 1 x, 1 l, and 1 o.
1/10
Calcul
|
{
"pile_set_name": "DM Mathematics"
}
|
PM
What is 211 minutes before 4:36 AM?
1:05 AM
How many minutes are there between 12:40 PM and 9:14 PM?
514
How many minutes are there between 2:36 PM and 10:46 PM?
490
How many minutes are there between 8:23 AM and 1:41 PM?
318
How many minutes are there between 2:51 AM and 12:23 PM?
572
How many minutes are there between 5:01 AM and 7:07 AM?
126
What is 573 minutes before 3:20 AM?
5:47 PM
What is 240 minutes before 11:45 AM?
7:45 AM
What is 324 minutes after 4:22 AM?
9:46 AM
How many minutes are there between 9:00 PM and 12:17 AM?
197
How many minutes are there between 4:33 PM and 11:23 PM?
410
What is 399 minutes before 5:09 AM?
10:30 PM
What is 372 minutes after 1:02 AM?
7:14 AM
How many minutes are there between 1:56 PM and 3:46 PM?
110
How many minutes are there between 7:08 AM and 9:37 AM?
149
How many minutes are there between 4:14 AM and 8:12 AM?
238
What is 547 minutes before 6:59 AM?
9:52 PM
How many minutes are there between 12:03 AM and 6:42 AM?
399
How many minutes are there between 11:38 PM and 10:54 AM?
676
What is 186 minutes after 3:24 PM?
6:30 PM
What is 634 minutes after 4:57 PM?
3:31 AM
What is 353 minutes after 9:45 PM?
3:38 AM
How many minutes are there between 1:47 PM and 4:33 PM?
166
How many minutes are there between 9:10 PM and 6:30 AM?
560
What is 688 minutes before 7:40 AM?
8:12 PM
What is 558 minutes before 4:27 AM?
7:09 PM
How many minutes are there between 2:16 AM and 1:43 PM?
687
How many minutes are there between 5:36 AM and 12:03 PM?
387
How many minutes are there between 10:10 AM and 9:14 PM?
664
How many minutes are there between 7:38 PM and 4:23 AM?
525
What is 323 minutes before 10:08 PM?
4:45 PM
What is 317 minutes after 2:01 AM?
7:18 AM
What is 142 minutes after 4:09 PM?
6:31 PM
How many minutes are there between 1:57 AM and 6:01 AM?
244
What is 623 minutes before 7:24 PM?
9:01 AM
How many minutes are there between 12:05 AM and 6:36 AM?
391
What is 625 minutes after 11:16 PM?
9:41 AM
What is 155 minutes after 9:44 AM?
12:19 PM
What is 681 minutes after 10:00 PM?
9:21 AM
What is 669 minutes before 9:26 PM?
10:17 AM
What is 121 minutes after 8:14 AM?
10:15 AM
What is 624 minutes after 5:14 PM?
3:38 AM
What is 618 minutes before 4:25 PM?
6:07 AM
What is 388 minutes after 4:35 AM?
11:03 AM
What is 62 minutes before 8:41 AM?
7:39 AM
How many minutes are there between 12:32 PM and 11:06 PM?
634
What is 165 minutes before 2:59 PM?
12:14 PM
What is 401 minutes before 7:45 AM?
1:04 AM
How many minutes are there between 8:17 AM and 7:26 PM?
669
What is 410 minutes before 8:36 AM?
1:46 AM
How many minutes are there between 3:15 PM and 8:15 PM?
300
How many minutes are there between 5:21 PM and 8:38 PM?
197
How many minutes are there between 4:26 AM and 1:12 PM?
526
How many minutes are there between 10:33 AM and 6:23 PM?
470
What is 117 minutes before 4:07 PM?
2:10 PM
What is 107 minutes before 7:00 PM?
5:13 PM
What is 473 minutes after 2:46 AM?
10:39 AM
What is 508 minutes before 1:22 AM?
4:54 PM
How many minutes are there between 2:05 PM and 7:09 PM?
304
What is 69 minutes before 8:10 AM?
7:01 AM
What is 92 minutes after 1:20 PM?
2:52 PM
What is 443 minutes before 7:29 PM?
12:06 PM
What is 144 minutes before 6:23 PM?
3:59 PM
What is 520 minutes before 7:36 PM?
10:56 AM
What is 323 minutes after 10:09 AM?
3:32 PM
What is 139 minutes before 10:41 AM?
8:22 AM
How many minutes are there between 6:41 AM and 6:03 PM?
682
What is 714 minutes before 11:33 PM?
11:39 AM
How many minutes are there between 6:46 PM and 7:36 PM?
50
How many minutes are there between 8:55 PM and 12:52 AM?
237
How many minutes are there between 9:48 PM and 10:30 PM?
42
How many minutes are there between 4:41 PM and 1:36 AM?
535
What is 587 minutes after 8:12 AM?
5:59 PM
How many minutes are there between 4:26 PM and 10:42 PM?
376
What is 90 minutes after 6:47 AM?
8:17 AM
How many minutes are there between 2:51 AM and 3:45 AM?
54
What is 657 minutes before 7:29 PM?
8:32 AM
What is 173 minutes after 10:58 PM?
1:51 AM
How many minutes are there between 6:03 AM and 10:07 AM?
244
What is 289 minutes after 2:31 AM?
7:20 AM
How many minutes are there between 5:38 PM and 6:13 PM?
35
How many minutes are there between 5:32 AM and 2:22 PM?
530
How many minutes are there between 7:53 AM and 8:52 AM?
59
How many minutes are there between 2:33 PM and 5:28 PM?
175
What is 353 minutes before 3:34 PM?
9:41 AM
How many minutes are there between 2:27 AM and 5:56 AM?
209
What is 665 minutes before 6:03 PM?
6:58 AM
How many minutes are there between 8:04 AM and 5:10 PM?
546
How many minutes are there between 11:23 PM and 6:04 AM?
401
How many minutes are there between 2:24 AM and 2:34 AM?
10
What is 274 minutes before 12:20 PM?
7:46 AM
How many minutes are there between 5:59 PM and 4:45 AM?
646
How many minutes are there between 12:25 AM and 8:15 AM?
470
What is 589 minutes before 11:24 PM?
1:35 PM
How many minutes are there between 1:54 PM and 6:52 PM?
298
What is 59 minutes after 6:07 PM?
7:06 PM
How many minutes are there between 6:05 AM and 11:01 AM?
296
What is 406 minutes before 8:58 AM?
2:12 AM
How many minutes are there between 4:19 PM and 2:08 AM?
589
How many minutes are there between 8:18 AM and 4:05 PM?
467
How many minutes are there between 4:35 AM and 9:56 AM?
321
How many minutes are there between 9:35 AM and 5:03 PM?
448
How many minutes are there between 9:58 PM and 6:19 AM?
501
How many minutes are there between 4:53 AM and 2:44 PM?
591
What is 618 minutes after 11:31 PM?
9:49 AM
What is 679 minutes after 6:56 AM?
6:15 PM
What is 700 minutes after 11:48 PM?
11:28 AM
What is 597 minutes before 11:15 PM?
1:18 PM
What is 491 minutes after 1:11 PM?
9:22 PM
How many minutes are there between 11:31 PM and 4:10 AM?
279
How many minutes are there between 8:22 AM and 3:25 PM?
423
What is 664 minutes after 8:55 PM?
7:59 AM
What is 679 minutes before 3:32 AM?
4:13 PM
How many minutes are there between 12:01 PM and 2:37 PM?
156
What is 313 minutes after 9:55 AM?
3:08 PM
What is 341 minutes before 10:09 PM?
4:28 PM
How many minutes are there between 6:03 AM and 6:45 AM?
42
What is 699 minutes before 10:03 AM?
10:24 PM
How many minutes are there between 9:57 AM and 5:22 PM?
445
What is 453 minutes before 9:24 PM?
1:51 PM
How many minutes are there between 9:40 PM and 6:08 AM?
508
How many minutes are there between 12:06 AM and 6:54 AM?
408
How many minutes are there between 3:35 AM and 12:12 PM?
517
What is 692 minutes before 3:12 AM?
3:40 PM
How many minutes are there between 12:41 AM and 2:11 AM?
90
What is 589 minutes after 12:02 AM?
9:51 AM
What is 667 minutes before 12:39 AM?
1:32 PM
How many minutes are there between 6:52 AM and 5:31 PM?
639
What is 141 minutes before 7:34 PM?
5:13 PM
How many minutes are there between 9:01 AM and 2:23 PM?
322
How many minutes are there between 6:43 PM and 12:50 AM?
367
What is 662 minutes after 8:29 AM?
7:31 PM
What is 634 minutes after 1:05 AM?
11:39 AM
What is 39 minutes after 2:57 AM?
3:36 AM
What is 176 minutes before 11:21 AM?
8:25 AM
How many minutes are there between 8:03 PM and 3:29 AM?
446
What is 707 minutes before 5:26 AM?
5:39 PM
What is 211 minutes before 11:16 AM?
7:45 AM
How many minutes are there between 11:33 PM and 6:14 AM?
401
How many minutes are there between 5:31 AM and 8:27 AM?
176
What is 573 minutes before 12:03 AM?
2:30 PM
What is 421 minutes before 7:12 PM?
12:11 PM
How many minutes are there between 11:11 PM and 3:07 AM?
236
How many minutes are there between 11:10 AM and 8:55 PM?
585
How many minutes are there between 2:23 AM and 2:35 AM?
12
How many minutes are there between 7:47 AM and 9:48 AM?
121
What is 406 minutes after 2:15 AM?
9:01 AM
How many minutes are there between 7:00 AM and 2:28 PM?
448
How many minutes are there between 12:06 AM and 8:08 AM?
482
What is 19 minutes after 8:09 PM?
8:28 PM
How many minutes are there between 1:09 PM and 9:54 PM?
525
How many minutes are there between 8:20 AM and 10:11 AM?
111
What is 52 minutes before 8:50 AM?
7:58 AM
How many minutes are there between 5:40 AM and 2:57 PM?
557
How many minutes are there between 8:19 AM and 9:13 AM?
54
How many minutes are there between 11:07 PM and 5:06 AM?
359
How many minutes are there between 7:16 PM and
|
{
"pile_set_name": "DM Mathematics"
}
|
sequence gfgf when four letters picked without replacement from ofogfffgffooffc.
2/585
Three letters picked without replacement from {b: 4, m: 1, r: 2, a: 1}. Give prob of sequence bab.
1/28
What is prob of sequence nqq when three letters picked without replacement from {q: 3, n: 2, w: 1, m: 2, v: 1, s: 3}?
1/110
Calculate prob of sequence jj when two letters picked without replacement from {m: 3, j: 9}.
6/11
Two letters picked without replacement from xsmxmjjjjxlj. Give prob of sequence lm.
1/66
Calculate prob of sequence bggb when four letters picked without replacement from {k: 3, b: 2, g: 8, m: 6}.
7/5814
What is prob of sequence jsj when three letters picked without replacement from {d: 4, s: 2, j: 5}?
4/99
Calculate prob of sequence pq when two letters picked without replacement from peqqzmzmqzzpqz.
4/91
What is prob of sequence qqvv when four letters picked without replacement from {v: 9, q: 5}?
60/1001
What is prob of sequence dx when two letters picked without replacement from {d: 1, r: 3, x: 1, m: 7, o: 4}?
1/240
Four letters picked without replacement from {w: 6, a: 4, g: 4, l: 5}. What is prob of sequence awal?
5/1292
Three letters picked without replacement from {i: 3, w: 2, t: 3, f: 5, p: 1, h: 1}. What is prob of sequence pih?
1/910
Three letters picked without replacement from {o: 3, n: 1}. Give prob of sequence nnn.
0
Calculate prob of sequence ul when two letters picked without replacement from {j: 1, u: 1, s: 5, e: 1, l: 3, y: 1}.
1/44
Four letters picked without replacement from {z: 3, v: 5, w: 3, y: 1}. What is prob of sequence vvwz?
1/66
Calculate prob of sequence cr when two letters picked without replacement from {c: 6, r: 5, e: 4}.
1/7
What is prob of sequence kffa when four letters picked without replacement from aaffffufuauakfaaa?
1/272
Four letters picked without replacement from avwkatk. What is prob of sequence akkw?
1/210
Calculate prob of sequence sk when two letters picked without replacement from {k: 1, s: 2}.
1/3
Calculate prob of sequence pa when two letters picked without replacement from pax.
1/6
Three letters picked without replacement from {o: 3, l: 4}. What is prob of sequence ooo?
1/35
Calculate prob of sequence ww when two letters picked without replacement from {w: 6, f: 7}.
5/26
What is prob of sequence dh when two letters picked without replacement from ddhddddddhhddhdddddd?
16/95
Two letters picked without replacement from lttlltlltlettt. What is prob of sequence tt?
3/13
What is prob of sequence ls when two letters picked without replacement from wxswcxxlxwtwwxwl?
1/120
Calculate prob of sequence jk when two letters picked without replacement from {b: 1, i: 1, p: 1, k: 1, u: 2, j: 2}.
1/28
Calculate prob of sequence nnn when three letters picked without replacement from {n: 7}.
1
Four letters picked without replacement from {m: 4, f: 3}. What is prob of sequence mfmm?
3/35
Calculate prob of sequence rara when four letters picked without replacement from {a: 2, r: 5}.
1/21
Four letters picked without replacement from {z: 10, k: 2, e: 6, x: 2}. What is prob of sequence kxkx?
1/29070
Calculate prob of sequence tt when two letters picked without replacement from {t: 16, v: 2}.
40/51
What is prob of sequence yh when two letters picked without replacement from ygyhfggggyhygfygyg?
2/51
Calculate prob of sequence nhwn when four letters picked without replacement from nnnhw.
1/20
Two letters picked without replacement from {h: 4, j: 1, c: 2, q: 6}. What is prob of sequence cj?
1/78
What is prob of sequence bm when two letters picked without replacement from bymb?
1/6
Calculate prob of sequence lolo when four letters picked without replacement from ooloooloo.
1/36
What is prob of sequence dlbs when four letters picked without replacement from {l: 6, s: 3, b: 2, d: 4}?
2/455
Calculate prob of sequence rx when two letters picked without replacement from {t: 1, x: 1, c: 2, q: 1, u: 1, r: 1}.
1/42
What is prob of sequence rryj when four letters picked without replacement from ryryyjrryyrjy?
2/143
Calculate prob of sequence km when two letters picked without replacement from movogogskmm.
3/110
Three letters picked without replacement from {p: 13, g: 3}. Give prob of sequence gpg.
13/560
Four letters picked without replacement from {t: 4, b: 14}. Give prob of sequence bbtb.
91/765
Calculate prob of sequence wgci when four letters picked without replacement from {g: 1, i: 1, a: 1, c: 1, w: 2, l: 1}.
1/420
Calculate prob of sequence sz when two letters picked without replacement from {s: 5, c: 4, n: 4, z: 6}.
5/57
Calculate prob of sequence gg when two letters picked without replacement from {u: 18, g: 2}.
1/190
Calculate prob of sequence eao when three letters picked without replacement from {e: 3, o: 5, y: 1, a: 5, g: 1}.
5/182
Calculate prob of sequence tqtq when four letters picked without replacement from stssqttqqstsqtsstt.
7/1020
Two letters picked without replacement from {d: 4, b: 1, p: 2, q: 6, v: 4}. What is prob of sequence bq?
3/136
Calculate prob of sequence za when two letters picked without replacement from {d: 1, c: 2, z: 2, a: 1}.
1/15
What is prob of sequence cs when two letters picked without replacement from shsbbsaabchhsb?
2/91
Two letters picked without replacement from wgavl. What is prob of sequence lw?
1/20
Calculate prob of sequence ff when two letters picked without replacement from {y: 1, f: 4, p: 4, s: 1}.
2/15
What is prob of sequence hh when two letters picked without replacement from {t: 1, h: 6, y: 10, k: 1, g: 2}?
3/38
Calculate prob of sequence fjjf when four letters picked without replacement from {j: 5, f: 3}.
1/14
What is prob of sequence yyyy when four letters picked without replacement from ykkyyyy?
1/7
Calculate prob of sequence axx when three letters picked without replacement from {c: 9, a: 2, j: 3, x: 5}.
20/2907
Four letters picked without replacement from {e: 3, v: 2, x: 3}. What is prob of sequence xxve?
3/140
Three letters picked without replacement from myllnnhlnmblnmy. Give prob of sequence yhn.
4/1365
Calculate prob of sequence cj when two letters picked without replacement from ucccjujccuccccuuuc.
10/153
What is prob of sequence nw when two letters picked without replacement from {l: 1, w: 1, c: 3, n: 1, b: 1}?
1/42
Three letters picked without replacement from {t: 2, x: 2, a: 1, c: 2, w: 4, q: 1}. Give prob of sequence twa.
1/165
Four letters picked without replacement from pdaanpddxpsdnpp. What is prob of sequence dadd?
2/1365
What is prob of sequence lzf when three letters picked without replacement from {u: 1, l: 5, f: 1, z: 5, o: 1, e: 1}?
25/2184
Calculate prob of sequence yw when two letters picked without replacement from ymffwyhm.
1/28
Two letters picked without replacement from {h: 4, v: 5, s: 10, t: 1}. What is prob of sequence ss?
9/38
What is prob of sequence xb when two letters picked without replacement from {s: 5, e: 2, x: 3, p: 2, b: 3}?
3/70
What is prob of sequence kgch when four letters picked without replacement from {k: 2, c: 2, i: 1, h: 1, g: 2}?
1/210
Calculate prob of sequence ks when two letters picked without replacement from {k: 5, i: 1, s: 1, q: 1, u: 6}.
5/182
Two letters picked without replacement from {g: 6, v: 6}. Give prob of sequence gg.
5/22
Four letters picked without replacement from aiiwwwwiwiwww. What is prob of sequence wiiw?
28/715
Four letters picked without replacement from toptqttoxteoptpxeo. Give prob of sequence eqtp.
1/2040
What is prob of sequence kbbk when four letters picked without replacement from kkbkbbkkkbbbkb?
21/286
Calculate prob of sequence ppi when three letters picked without replacement from ppccwccpicif.
1/110
What is prob of sequence ecpc when four letters picked without replacement from {e: 3, c: 5, p: 2}?
1/42
Calculate prob of sequence xc when two letters picked without replacement from ckdcrksxkdc.
3/110
What is prob of sequence oi when two letters picked without replacement from ifviiiviikfoovooivoo?
21/190
Calculate prob of sequence hh when two letters picked without replacement from hhhzhzh.
10/21
Calculate prob of sequence qt when two letters picked without replacement from dtttqpddtdtqp.
5/78
Two letters picked without replacement from wflffffotffwnf. Give prob of sequence nf.
4/91
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
be 0 - ((-14)/6 - g). Is 0.1 less than or equal to a?
True
Suppose 10*g + 50 = 5*g. Is 2 greater than g?
True
Suppose 3*p - 26 = 2*g, g - 19 = -3*p - 4*g. Which is smaller: p or 9?
p
Suppose -2*x - 3*w + 104 = -6*x, -5*w = -3*x - 67. Let m = -3479/111 + 99/37. Let p = x - m. Which is greater: p or 1/4?
1/4
Let r = 0.8 - 1. Let g = 5.2 + -5. Which is greater: g or r?
g
Suppose 5*d - 3*r + r - 2 = 0, 0 = 4*r + 4. Are d and 3 equal?
False
Suppose 20 - 8 = -2*l. Let j be l/15 - 7/(-5). Let m = -9/11 - -78/55. Are m and j equal?
False
Suppose 2*v = -5*u - 6, -12 = 5*u - 2*v + 6*v. Suppose -2*b + 5*b = u. Suppose b = -s - s + 6. Does s = 3?
True
Let i be 3/12 - (-18)/4. Is i <= 6?
True
Let i(k) = -2*k**2 - 5*k + 2. Let x be i(-4). Is x greater than -10?
False
Let g = 105 + -102. Let w be -2*(1 + -2)*-3. Let v be g/w*1/4. Which is smaller: 0.1 or v?
v
Let l = 24 - 14. Let y be (-2)/5 + 4/l. Let v = -65/84 - -1/42. Which is smaller: v or y?
v
Let b be (1 + 0)*2/(-1). Let l = 19 + -26. Let q be 2/6 + l/21. Which is smaller: q or b?
b
Let w(s) = s**3 - 5*s**2 - s + 4. Let k be w(5). Which is bigger: k or 0?
0
Let l be (9/(-252))/((-1)/4). Which is greater: 1 or l?
1
Let u = 50 - 657/13. Which is smaller: -2 or u?
-2
Suppose 4*c + 32 = 5*i, -i = -c - 5 - 2. Let r be (-2 + i)/((-2)/(-3)). Which is greater: r or 3/2?
r
Suppose k - 3*t - 2 = -t, 16 = 3*k + 4*t. Suppose k*h + 16 = -0*h, 0 = 3*p + 3*h - 33. Are p and 16 unequal?
True
Let v(y) = -y + 2. Let h be v(4). Do h and -5/2 have different values?
True
Let x = 0.042 - -15.958. Is x greater than or equal to 1?
True
Suppose 0 = -4*d + 5*d - 3. Let p(v) = -v**3 + v**2 - 2*v. Let c(g) = g**3 + 2*g + 1. Let y(a) = d*p(a) + 2*c(a). Let w be y(2). Is w <= 3?
True
Let r = -282/7 - -785/28. Which is greater: r or -12?
-12
Let l = 10 - 0. Let h be 3 + -2 + (-15)/l. Which is smaller: -1 or h?
-1
Let n = -147367 - -1324991/9. Let i = -146 - n. Is i greater than 0?
False
Suppose -3*v = -4 + 16. Suppose 8 = -x + 3. Which is bigger: x or v?
v
Let y be (-1)/4 + (-21)/12. Let n be (-9)/(-4) + y/8. Which is bigger: n or 7/6?
n
Let v(m) = 5 + 6*m + 2*m**2 - 4*m**2 + m**2. Let o be v(7). Let k be (4 + (-28)/6)*(-3)/(-2). Is o > k?
False
Let a = -12882/77 + 2054/11. Is 19 smaller than a?
True
Suppose q + 6*w - 22 = w, 4*q = 5*w - 12. Let p = 0 + q. Suppose -p*k = k. Is -1 > k?
False
Let m(o) = o**3 + 2*o - 1. Let v be m(0). Let y = -23/121 - -1/121. Is v greater than y?
False
Let c = 87 + -51. Suppose -2*l + 27 = 3*x, 3*l - 1 - c = -x. Which is greater: 11 or l?
l
Let h be 100/(-15)*6/(-5). Do h and 70/9 have different values?
True
Let u = -10 - -32/3. Let j = 0.78 - 0.9. Let s = j + 0.02. Is u at least s?
True
Let r be (-4)/6*(-18)/40. Suppose 0 = 3*w - 3*w - 8*w. Is w less than r?
True
Suppose 21 = 3*w + 6. Let b be 2 + -2 + (w - 0). Suppose -3*x + 2*x - 1 = -2*f, b*x = -f + 6. Is x at most 1?
True
Suppose -5*m + 3*m + 4*i = 12, m = 3*i - 10. Let o(j) = -j**2 + 5*j + 8. Let b be o(6). Suppose 0 = m*r - 0*c - 2*c - 4, -b = 2*c. Is 1 > r?
False
Let y be -7*(51/21 - 3). Suppose 9 - 17 = y*w. Is 3 at most w?
False
Let p be 6/(-10) - (-156)/(-65). Let n = 11 + -15. Which is bigger: p or n?
p
Suppose -a + 3*o = -3 + 19, 0 = -4*a - 4*o - 32. Which is smaller: -11 or a?
-11
Let j(u) = -u**2 + 10*u + 6. Let q be j(11). Let i(r) = -6*r**2 - r + 1. Let y be i(1). Let n be 40/y + 6/9. Is n greater than q?
False
Suppose 4*c - 2*c - 2*i - 28 = 0, 3*i - 14 = -c. Which is smaller: -4/5 or c?
-4/5
Let y = 3.52 + -3.52. Let j = 6 - 3. Which is smaller: y or j?
y
Let p be (0 - -1)/(13/(-13)). Let s = p + 1. Is s at most -6/13?
False
Suppose -3*p + 7*p = -j + 11, -3*p - j + 8 = 0. Suppose -12 - p = -5*s. Suppose 4*t - 3*u = s, 10*u = -3*t + 5*u - 34. Which is smaller: t or -4?
-4
Let u(v) = -4*v**3 - 1. Let h be u(1). Let r(j) = j**3 + 6*j**2 + 4*j - 7. Let s be r(h). Let c be 25/(-20) - 3/s. Is 0 smaller than c?
True
Suppose -1 = j + 1. Let d be (-3)/1*(5 - (-14)/(-3)). Which is greater: j or d?
d
Suppose 0 = 6*c - 10*c + 12. Let r = -5 + 8. Suppose 0 = y - c, 0 = 5*z - r*y + 6*y + 1. Which is smaller: -1 or z?
z
Let i = -8 - -8. Which is greater: -1 or i?
i
Let v(f) = f**3 + 6*f**2 - 10*f - 2. Let d be v(-7). Suppose 3*a = -2*i + 14, i - 5*a = -0*i - d. Which is greater: 2/5 or i?
i
Let j be (1/(-2))/((-5)/6). Suppose -2*d = 5*l - 2*l + 30, 5*l = -5*d - 55. Let y be 2/l - (-35)/28. Which is bigger: y or j?
y
Suppose 5*s - 60 = 2*s. Let w = 6 - s. Are -15 and w unequal?
True
Suppose -3*i + 16 = -5*s, -5*i + 5*s = 2 - 12. Let l be 5 - (0 + (0 - i)). Is l bigger than 2/3?
True
Let a(q) = -2 - 6 - 10*q + 2*q**2 + q**2 - 4*q**2. Let l be a(-9). Is l bigger than 0?
True
Let g(c) = c**2 + 4*c + 4. Let z be g(-1). Let v be (-5)/(-3) + 2/6. Suppose v*u - 4 = -2. Is u >= z?
True
Let z = 4 - 4. Suppose -3*u = -z*u - 15. Suppose u*s = 2*s. Do 0 and s have different values?
False
Let u = -916 - -15564/17. Which is smaller: 1 or u?
u
Let o(d) = 6*d. Let n be o(-4). Let b be 10/n + (-2)/(-8). Suppose 4*y + 23 = 23. Which is smaller: y or b?
b
Let c be (28/(-6))/((-8)/(-51)). Which is bigger: -29 or c?
-29
Suppose 5 - 1 = 4*b. Let c(r) = -r**3 - 3*r**2 - r + 2. Let i be c(-2). Which is greater: b or i?
b
Let p = -8173/9 - -907. Which is smaller: -1 or p?
p
Suppose z + 3*z + 5*r = 13, -5*z = -3*r + 30. Which is smaller: -6 or z?
-6
Suppose 3*q - 2 = -32. Let j be ((-4)/q)/(1/(-5)). Let b be 1 - ((-2)/j - 2). Are 1 and b unequal?
True
Let d = -20 + -7. Let h = d - -38. Is h equal to 10?
False
Let x = -24 + 46. Which is greater: x or 23?
23
Let u = 3 + -4. Let p = -675/14 + 97/2. Do p and u have different values?
True
Let g be (-1)/(-4 - -5)*-5. Let n be (-1)/4 + g/20. Which is smaller: n or 2/3?
n
Let h(t) = -3*t - 1. Let c be h(3). Let a = 15 + c. Which is greater: 3 or a?
a
Let w = -0.03 + 0.59. Let y = w + -0.06. Let p = -0.6 + y. Are p and 0.1 non-equal?
True
Let z = 25/132 - -2/33. Suppose 4*l = -4, 0 = x - 5*l - 1 - 5. Which is smaller: x or z?
z
Let g(b) = b**2 - 2*b - 5. Let t be g(4). Suppose 0 = -h + 4*c - 16, -3*h + 9 + 3 = t*c. Is 4/3 > h?
True
Let t(u) = -u**3 - u**2 + 2*u + 3. Suppose -21 = 4*j - s - 0*s, -j - s - 9 = 0. Let l = -8 - j. Let r be t(l). Is r <= 3?
True
Let k be ((-25)/(-15) - 3) + (-2)/(-2). Which is smaller: 0.15 or k?
k
Suppose 2*f - 16*f = -14. Which is greater: f or 4?
4
Suppose -4*z = -2*t + 7*t - 35, 0 = 2*t - 3*z + 9. Suppose 3*v - 6 = -t. Suppose 5*i + 1 = -4*x - 4, i + 1 = -3*x. Is v >= x?
True
Suppose 0*o + 2*o = -3*g, 3*o + 3*g + 3 = 0. Let p = o - -4. Which is smaller: 0 or p?
0
Let p = 52 + -51. Is 13 at most as big as p?
False
Let t = -3.3 - -4.6. Let w = 1 - t. Let l = -0.4 - w. Which is greater: l or -3?
l
Let g = 1.2 + 3.8. Let h = -5.3 + g. Is h <= 0?
True
Let t = 0.05 + 0.02. Let o = 0.11 + -0.21. Does t = o?
False
Let w(d) = -14*d - 3. Let y be w(-1). Suppose 2*i + 2*i + 32 = 0. Let x = y + i. Is 2 at least x?
False
Let k = 2509/8 + -314. Let a be -1*(47/24 - 2). Let y = k + a. Is y > 1/7?
False
Suppose 4*r - 6 = 2*r. Suppose -u + 14 = r*p + 6, 3*p - 18 = -3*u. Let o(k) = -k**3 + 19*k**2. Let x be o(19). Is x at most p?
True
Let u = 0 - 2. Let m be (-2 - -2 - 6)/(7/1). Is u != m?
True
Let i(c) = -21831*c**2 - 2*c - 1. Let r be i(-1). Let x = r - -458162/21. Let b = 80/7 + x. Which is greater: b or -1?
-1
Let x be (6/412)/(1/(-2)). Which is greater: 0 or x?
0
Let q = 1/442 + -2321/221. Let d = q - -11. Let y be ((-1)/1)/(3/(-3)). Are y and d equal?
False
Let g = -0.1 - -0.1. Let p = 0.6 + -0.8. Is g < p?
False
Suppose 5 = -w - 5. Let b be (3/w)/((-2)/10). Which is smaller: b or 2?
b
Let h = -4 + 5. Is h less than 2/11?
False
Suppose 8 = -v + 2*a, -4*a = -5*v + v - 20. Suppose -3*q + q + 32 = -4*p, 3*p + 26 = 2*q. Let w be 4/p - (-1)/6. Which is greater: w or v?
w
Let v(i) = -i**3 + 5*i**2 - 2*i + 4. Let l be v(4). Let g(w) = -w**2 + 11*w + 6. Let h be g(l). Is h not equal to -4?
True
Let w be (-32)/14 - (-18)/63. Is w > -5?
True
Suppose 4*n + 1 = -11. Let c(d) = -d**3 - d - d**2 + 1 + 5*d + 2. Let x be c(-2). Is x bigger than n?
True
Let t = 167/2 + -84. Which is bigger: 2/55 or t?
2/55
Suppose 0 = -3*u - l, -2*u - 5*l = 16 - 3. Let j be 26/(-40) + (-2)/(-8). Which is bigger: u or j?
u
Suppose 0 = -3*o -
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 3*y**2 - y**2 + (0 - y + 0)*(0 - 2*y + 0) as d + n*y + k*y**2 and give n.
1
Express 1 + 28*q**3 - 4*q**2 + 0 - 26*q**3 - 8 in the form d*q**3 + a*q + o*q**2 + w and give w.
-7
Rearrange -11*w + 3 + 10*w + 2*w**4 + w**2 - w**3 - 4*w**4 to i*w**4 + t*w**3 + u + v*w**2 + m*w and give v.
1
Rearrange 11*v + 24*v**2 - 5*v**4 + 2*v**3 + 2 - 26*v**2 + 4*v**4 to the form k*v**3 + h + u*v**4 + s*v + o*v**2 and give k.
2
Express 1 - 2 + x**4 + 2*x**3 - 85*x**2 + 83*x**2 + 2*x in the form a*x**3 + u*x**2 + q*x + h + o*x**4 and give h.
-1
Rearrange (-269*p - 143*p - 99*p)*(2*p**2 + p**2 - 2*p**2) to h*p**3 + l*p + q*p**2 + o and give h.
-511
Rearrange (-199 - 158 + 149)*(0*q**3 + 3*q**3 - 5*q**3) + (5*q - 2*q - 4*q)*(q**2 - q**2 - q**2) to c*q + i + j*q**3 + d*q**2 and give j.
417
Rearrange (-51*j + 5685 - 5685)*(5 - 4 + 0) + j + 3*j - 3*j to the form k*j + p and give k.
-50
Rearrange (0 + 7 + 1)*(10 - 4 + 2*x - 2) - 3*x + 3*x + 2*x + (-5 + x + 5)*(-2 - 4 + 4) - 2*x - 3 + 3 + x + 0*x - 2*x to the form i + o*x and give o.
13
Express 231*j + 2*j**2 - 231*j - 84*j**3 + (-j**2 - 4*j + 4*j)*(0*j + 2*j - 3*j) - 2*j**3 + 2*j**3 + 2*j**3 as b*j**2 + c*j + q*j**3 + t and give q.
-81
Rearrange 149*i - 5 - 334*i + 134*i to the form x + g*i and give g.
-51
Rearrange -7*u**4 - 4*u**4 + 0*u**4 + (-26 + 14 - 14)*(3*u**4 - 3*u**4 + 2*u**4) to n*u**4 + a + s*u + w*u**3 + r*u**2 and give n.
-63
Express (9*c + 2*c + 0*c)*(8*c - 20*c - 2 - 24*c - 13*c) in the form g*c + q*c**2 + p and give g.
-22
Rearrange (-k + 4*k - k)*(k - 2*k - k) - 80*k**2 + 66*k**2 - 204*k**2 to the form g*k**2 + q + t*k and give g.
-222
Express -175*r**2 + 349*r**2 - 2*r**3 - 2*r - 176*r**2 in the form x*r**2 + f*r**3 + i*r + g and give i.
-2
Express -11*k + 9*k - 14*k**2 - 9*k - k**2 in the form q*k**2 + p*k + y and give q.
-15
Rearrange (13 - 8*o - 4 + 5*o)*(-o + 3*o - o)*(-12 - 9 + 1) to u + l*o + h*o**2 and give l.
-180
Express -1 + 843*z + 847*z + 4*z**3 - 1691*z + 2*z**2 in the form b*z**2 + g*z + w*z**3 + d and give g.
-1
Rearrange 1629 - 79*u**2 - 1629 + (-u + 0*u + 0*u)*(-4*u - u + 2*u) to s*u**2 + x + z*u and give s.
-76
Rearrange -234*p**2 + 2 + 232*p**2 - 7*p**4 + 2*p**4 - 11*p**3 to m*p + z + h*p**4 + j*p**3 + c*p**2 and give j.
-11
Express (-5*q - 2 + 13*q + 5*q)*(0 + 11 - 7) in the form p*q + l and give p.
52
Rearrange -n + 2*n + n + (0 - 5 + 4)*(-1 + 1 - 2)*(-3*n + 19*n + 14*n) + 3*n - 2*n - 3*n to the form l + h*n and give h.
60
Rearrange (0 + 4 - 2)*(99*j - 1 + 6 - 7) - 2 - 4*j + 6*j + 0 to the form x + v*j and give x.
-6
Rearrange (3*m + m - m)*(2 - 3*m**2 + 5*m**2 - 3*m**2) + 248*m - 248*m + 84*m**3 to n*m**3 + k*m + c + r*m**2 and give n.
81
Express 21*c - 12 - 2*c**2 - 35*c + 15*c in the form i*c**2 + o + m*c and give o.
-12
Rearrange 111*y**4 - 2*y**2 - 3040*y**3 - 2*y + 3042*y**3 - y**2 - 2 to the form k*y**2 + u + d*y**3 + h*y + f*y**4 and give d.
2
Express -113*k - 1003 + 1003 as m + z*k and give z.
-113
Express (77 - 200 + 20)*(3 + 3 - 5 + (-3 + 1 + 0)*(-3 + 2 - 1))*(-2*o - o + o) as v + t*o and give t.
1030
Rearrange -196*b**2 + 90*b**2 - 213*b**2 - 4*b**2 - 33*b**2 to a*b + z + y*b**2 and give y.
-356
Express ((2*l + l + l)*(-1 + 2 + 1) - 3*l + l - 2*l)*(-265 + 21*l + 265) as a + c*l**2 + w*l and give c.
84
Express 2128*g - 11 - 4285*g + 2117*g in the form w + y*g and give y.
-40
Express 21502*z + 0 - 21532*z + 2 as v + o*z and give o.
-30
Rearrange 6*n**2 - 4*n**2 + n**2 + 8*n**2 - 11 + 8 to the form q*n**2 + i + l*n and give q.
11
Express 5*y - 2*y**2 + 2 + 162*y**4 + y**2 - 163*y**4 in the form q*y**2 + g*y + m*y**4 + k + t*y**3 and give q.
-1
Express 0*r + 0*r + r - 4 - 3*r + 2 + 2*r + (2 + 2 - 5)*(0 + 0 - 2*r) - 13*r + 25*r + 33*r in the form f*r + v and give f.
47
Rearrange -1887*y**2 + 175*y - 621*y**2 - 175*y to w*y + h*y**2 + l and give h.
-2508
Express (l**2 - 2*l + 2*l)*(-1600 + 2411 - 1650) in the form y*l**2 + g*l + f and give y.
-839
Rearrange -33*t - 275*t + 70*t to j + x*t and give x.
-238
Rearrange -1429*u + 738 - 439*u + 726 - 1464 to h*u + a and give h.
-1868
Rearrange -2567 - 101*t - 56*t + 2572 - 157*t to the form q + s*t and give q.
5
Express 16*l - 3*l - 5*l - 2*l - 5*l - 2 - 38*l**2 as n + u*l + p*l**2 and give u.
1
Rearrange 30 + 3*z + 44*z**2 - 2*z**3 - 31 - z**4 - 4*z to the form a + l*z**2 + m*z**3 + t*z**4 + h*z and give m.
-2
Express (6*o**2 + 8*o**2 + 2*o**2 + (-2*o + 5*o + 7*o)*(1 + o - 1))*(5*o - o - 3*o) as f*o**3 + h*o + l + i*o**2 and give h.
0
Express -174*t - 36*t - 554*t as a + h*t and give h.
-764
Rearrange -5*l**2 + l**3 + 8*l**2 + 0 + 1 - 7*l**4 to the form u*l**2 + r*l**4 + m*l + g + a*l**3 and give g.
1
Express -49*q + 131*q - 18*q + 71*q - 1 + 67*q as o + y*q and give o.
-1
Express -17*w**2 - 4 - 4*w**4 - w + 18*w**2 + 1 + w**3 in the form z + x*w + y*w**4 + t*w**2 + a*w**3 and give x.
-1
Rearrange 2*o + 3*o - 5*o + 22*o**2 + 5*o to the form q*o**2 + a + g*o and give q.
22
Rearrange 4*f**3 - 6*f**4 - 60*f - 58*f + 119*f - 2 + 2 to the form c + a*f**2 + z*f**3 + l*f**4 + b*f and give b.
1
Express (-15*a**2 - 7*a**2 + 5*a**2)*(67 + 15 - 24 - 13) in the form s*a**2 + d + c*a and give s.
-765
Rearrange (-6*g**2 - 128*g**3 - 2*g**2 + 126*g**3 + 2)*(0*g + 6*g - 4*g) to the form p*g + j*g**3 + f*g**4 + n + d*g**2 and give n.
0
Express 0 + 5 - 10 + 0 + u**3 + 3*u**4 - 13*u**2 - u**4 in the form t*u**3 + v + w*u**4 + d*u + m*u**2 and give m.
-13
Rearrange (c - c + 2*c)*(-257*c - 781*c + 97*c) to k*c**2 + l + m*c and give m.
0
Rearrange 50 - 151 + 46 + 16*a + 51 to l + t*a and give l.
-4
Rearrange 23798*j**2 - 23798*j**2 + 5*j + 2*j**3 + 12 to the form m*j + a*j**3 + q + t*j**2 and give q.
12
Express (a + 4 - 4)*(16 - 27 + 80) in the form m + s*a and give s.
69
Express s + 0*s**3 - s**3 + s**2 + 429 - 377 in the form i*s**3 + y + k*s**2 + z*s and give i.
-1
Express 9*f**2 + 8*f**2 - 1131*f**4 + 1134*f**4 - 2*f**3 as p + y*f**4 + q*f**2 + m*f + s*f**3 and give y.
3
Express (2*y - 3*y - y)*(-279 - 102*y**2 + 279) as a*y**2 + o*y**3 + k*y + v and give o.
204
Rearrange (-m**2 + 2 - 2)*(-3*m**2 + 0*m**2 + m**2) - 288*m**4 - 925*m**4 - 684*m**4 to the form n*m**3 + i*m**2 + u*m**4 + o*m + r and give o.
0
Express -45*j + 9*j + 10*j - 135 + 17*j + 11*j in the form s + f*j and give s.
-135
Rearrange -173327 + 173327 - 149*n to the form p + g*n and give g.
-149
Express (4*f**2 - 3 + 3)*(33*f**2 + 43*f**2 - 15*f**2) as p*f + j + y*f**4 + z*f**2 + q*f**3 and give y.
244
Express 0*a**2 + a**3 + 107 - 2*a**2 + 13*a - 108 in the form b + p*a**3 + c*a + d*a**2 and give c.
13
Rearrange (-5*u + u + 2*u)*(-31*u**3 + 941*u**3 + 40*u**3) to w*u + n*u**2 + x*u**3 + v + z*u**4 and give z.
-1900
Express -4*o**3 - 3 + 3 + (-11*o - 4*o + 8*o + (-o + 2*o + o)*(-2 + 1 - 1))*(-1 + 1 + o**2) as r + f*o**2 + b*o + u*o**3 and give u.
-15
Rearrange 642*n - 605*n + 0*n**2 + 3*n**2 + n**2 to z*n**2 + m + i*n and give i.
37
Rearrange -2*i + 11 + 13 + 0*i + 2*i**4 - 22 to p*i**2 + o*i + s*i**3 + y + b*i**4 and give y.
2
Rearrange (12*j - 22*j + 24*j)*(26*j**3 + 17*j**3 - 8*j**3) to the form s*j**2 + z*j**4 + r*j**3 + o + i*j and give z.
490
Express 0 + 0 - y**4 + (-35*y - 22*y + 139*y)*(-2*y**3 - y**3 + 5*y**3) in the form z*y + f*y**2 + i*y**4 + c + l*y**3 and give i.
163
Express -21*q**3 - 16*q**3 + q + 32*q**4 + 39*q**3 as w*q**3 + p*q**2 + b*q + v + k*q**4 and give b.
1
Rearrange 20*u**2 - 1 + 6 - 4 - 14*u**2 + 8*u**2 + 63*u**2 + (2*u + 2*u - 2*u)*(-u - 2*u + 2*u) - 4*u + 4*u - 2*u**2 to l*u + k + f*u**2 and give f.
73
Rearrange -600*b + 394*b - 168*b - 471*b to the form m + o*b and give o.
-845
Express -13*b + 436*b + 86*b - 269*b + 415*b in the form x + f*b and give f.
655
Express 92 - 48*l + 3*l**2 - 179 + 85 + 0*l**2 + 268*l in the form m*l**2 + j + t*l and give t.
220
Rearrange (-20*f - 39*f + 15*f)*(-3*f + 4*f - 3*f) + f + 2*f**2 - 3*f**2 + 2*f**2 to the form b + w*f**2 + n*f and give n.
1
Express (-j**3 - 6*j**2 + 6*j**2)*(194*j - 20 - 63*j - 68*j - 72*j) in the form m + o*j**2 + r*j + w*j**4 + d*j**3 and give d.
20
Rearrange 266 - 8*u + 263 - 533 + (0*u - u + 3*u)*(-1 + 2 - 3) + u + u - u to the form p + b*u and give p.
-4
Express (2*c**2 + 0*c**2 + 0*c**2)*(-3*c - c + 0*c + (108 - 108 - 18*c)*(4 - 4 - 2) + 0*c + 4*c - c) in the form a + x*c**2 + l*c**3 +
|
{
"pile_set_name": "DM Mathematics"
}
|
2*a - 4*z for a.
-1
Suppose -1 = c - 3. Solve -c*m + 3*m = 4, u = m - 8 for u.
-4
Let y(j) = 6 - j**2 + 6*j - 3 - 6. Let d be y(4). Solve -p + 5*b = -9, 2 - 7 = d*b for p.
4
Suppose 5*k + 5 = -5*n, 0 = k - 3 + 2. Let f(r) = r**3 + 2*r**2 - 2*r. Let x be f(n). Solve 3*t = 7*t + 2*d + x, 3*d = t - 6 for t.
0
Suppose -4*w = -w - 18. Suppose -w*m = -3*m. Suppose -7*o + 2*o - 4*f + 16 = 0, -f - 1 = m. Solve o*d + s = -14, 10 = -5*d - 3*s - 4 for d.
-4
Suppose 5*s = 4*x + 26, 2 - 10 = 2*s + 3*x. Let w be 1 + 0 + s + -1. Solve -2*r = 4*c - r - 9, w*r = -2*c + 12 for c.
1
Let k be (0/(3*-1))/(-2). Let t = 0 + k. Suppose -5*n + 11 - 1 = t. Solve -5*a - 9 = n*d - 6*a, -5*d = 4*a + 29 for d.
-5
Suppose 4*y = -y. Suppose 4*d - 15 - 5 = y. Suppose -d - 7 = -4*n. Solve 13 + 2 = 5*j + l, n*l = -4*j + 1 for j.
4
Let r(q) = -2*q**2 - 36*q - 32. Let k be r(-17). Solve k*w - 4 = 0, -2*v + 4*w = -7*v - 12 for v.
-4
Let z be 1*(-2 + 0) + 3. Let c be 10/4 + 1/(-2). Suppose -2*h - x + 9 = 0, 4*x = 4*h + 5*x - 17. Solve -c*y + h = b - z, 0 = -4*y for b.
5
Suppose -7*x + 28 = -0*x. Solve r = 0, 0*r + r = -x*s + 20 for s.
5
Let h(g) = g**2 + g - 3. Let m be h(0). Let f be (-3)/((-4)/((-44)/m)). Solve 3*u + y + f = 0, 0*u + u - 5*y = 7 for u.
-3
Let d be 0*(-1 + 3 - 1). Suppose d = -0*s - s - 4. Let h(g) = -g**2 - 5*g - 2. Let u be h(s). Solve n - 4*n - u*p = -14, 22 = 5*n + 3*p for n.
2
Let u be 15*(13/5 + -2). Let f be (3/2)/(u/12). Solve -6 = -2*m - 5*c + 13, f*m + 16 = 2*c for m.
-3
Suppose 3*w - 5*m + 0 + 5 = 0, 5*m = -4*w + 5. Suppose w + 7 = q. Solve -q*l + 2*l - 11 = 2*d, l + 13 = 5*d for d.
2
Let s be (-17 + 1)/(2 + -3). Solve s = -4*v - o, -2*v + 5*o = -v - 17 for v.
-3
Let i = -194 + 196. Solve -5*v - 2*b - 18 = -i, 0 = -4*v - 5*b - 23 for v.
-2
Let n(o) be the second derivative of o**3 + 3*o**2/2 - o. Let w be n(2). Solve -3 = -l + a - 2*a, -5*l - 2*a = -w for l.
3
Suppose -o + 6 = 2*o. Let p = -16 - -8. Let t be o/(-8) + (-42)/p. Solve 4 = -2*d - w - 4, 0 = 5*d + t*w + 25 for d.
-3
Let c = 2 + -2. Suppose 20 = -5*a - 0*o + 5*o, 3*a + 5*o = 20. Let l = a + c. Solve k - 5*f - 24 - 4 = l, -10 = -5*k - f for k.
3
Let a be -7 - -10 - 1/(-1). Solve 0*y - 5*m - 16 = 4*y, -5*m - a = y for y.
-4
Let r = -33 - -23. Let w = r - -13. Solve -4*a - w*d - 2*d + 23 = 0, 5*a - 3*d - 1 = 0 for a.
2
Let f(j) be the first derivative of 5*j**4/4 - j**3/3 - 2. Let z be f(1). Solve -6*k - p = -2*k + 4, -z*k + 20 = -5*p for k.
0
Suppose 12*i = 8*i. Solve 0 = -4*m - 3*y - 23, i = -m - 0*y + 5*y for m.
-5
Suppose 0 = h + 3*h - 8. Solve -16 = k - 7*y + h*y, -5*y = -4*k - 19 for k.
-1
Suppose 2*u = -t + 2, 3*t + 0*t = 2*u - 18. Let p be 3/3 + u - -2. Solve s + p = -i, -2*i - 3*i - 3*s = 24 for i.
-3
Let r be 6/4 + (-6)/(-12). Suppose -k - r*m + 0*m = 5, 5*m + 32 = 4*k. Suppose 5 = 4*x - 3. Solve t + x = b, 20 = -k*t - t - 2*b for t.
-4
Suppose -21 = -4*o - 5*g, 21 = -5*o - 5*g + 46. Solve b - 2*q - 8 = 0, b + 2*q = -o - 0 for b.
2
Suppose -12*s - 125 = -17*s. Solve 5*k = -5*m - s, 5*k + 21 = -m - 0*m for k.
-4
Let f(r) = 3*r + 13. Let s be f(-3). Solve s*t - 4 = -3*c, -5*c + 3 = 3*t - c for t.
1
Suppose 2*i = -0*i. Suppose -16 = -3*k + 2. Solve 5*h + 3*b - 8*b = i, 4*h = -2*b + k for h.
1
Let w be 3 - (4 + 0 + -4). Solve 8*n = 3*n + 2*h - 25, 4*n + w*h - 3 = 0 for n.
-3
Let f(a) = 2*a**2 + 12*a + 12. Let m be f(-5). Solve -m*g + h + 9 = 0, -2*g - 2*h - 3 = -g for g.
3
Let n(m) = m**3 - 4*m**2 + 3*m. Let r be n(3). Suppose -3*d - 2*d + 10 = 0. Solve r = o - 3*o + d*p - 10, 0 = 4*o + p + 15 for o.
-4
Suppose -4*j - 190 = 26. Let r = j - -78. Solve -5*z = -4*w + r, 0*w + 9 = -3*w - 3*z for w.
1
Let t(r) be the first derivative of r**3 + r**2 - 2. Let a be t(2). Solve -3*k = 2*k - p + 13, -4*k - 2*p - a = 0 for k.
-3
Suppose p = -0 + 4. Let l = p + 1. Solve i + 5*f = 3*i - l, 3*f + 9 = 0 for i.
-5
Let w(n) = -2*n - 6. Let j be w(-4). Let t(q) = q - 1. Let l be t(3). Let i = 29 + -6. Solve -l*y - 5*h - j = 3, -i = 5*y + 2*h for y.
-5
Let d = 25 - 22. Solve -3*a - d*n = 6, -1 - 11 = 4*a + 2*n for a.
-4
Let z = -47 + 68. Suppose z = 3*j + 2*w + 2*w, -5*w + 27 = 4*j. Solve 2*a = 4*i - 5 + j, 2*i - 3*a + 9 = 0 for i.
3
Let t be -1 - (0 - 0) - 1. Let r be (-14)/(-4) - t/4. Let i(w) = -w**2 + 5*w - 4. Let m be i(3). Solve -n - m*z - 13 = -r, -5*z = 3*n + 24 for n.
-3
Let u be 1 + 3/((-3)/(-2)). Suppose 0 = u*s - 4*s. Solve -3*b - v + 16 = s, -4*b + 2*v + 11 = -7 for b.
5
Let g be 16/6 - (-3)/9. Suppose 3*w - 11 = -2*u + 7, -3*u + g*w + 27 = 0. Solve 10 = 5*b + 2*q + 2*q, -2*b = -q + u for b.
-2
Suppose 5*k = 15 + 15. Let j(f) = -2*f + 5. Let d be j(k). Let v be d/(1/2*-1). Solve w + 0*r - 4 = -r, w = -3*r + v for w.
-1
Suppose 63*j - 22 = 61*j. Solve -5*a + j = -9, -2*f = -2*a + 2 for f.
3
Let a(x) be the third derivative of -x**5/60 + 7*x**4/24 - 5*x**3/6 - 3*x**2. Let q be a(5). Solve 0 = -2*v - 3*s - 13, -2*v = -4*v - q*s - 19 for v.
-2
Let w(l) = -2*l - 1. Let d be w(-3). Let r = d + -1. Let i be 5*8/(-10)*-1. Solve 0*k + 7 = 4*k - 3*a, r*k + 28 = -i*a for k.
-2
Suppose 3*t - 24 = -3*k, 0*t + 5*k + 5 = 4*t. Solve t*g = 0, -g + 4*g = b - 4 for b.
4
Let h = -10 - -31. Suppose 0 = -3*j - 2*j + 2*r + h, -4*j - 2*r + 6 = 0. Solve 2*i + 5*o = -0*i - 1, -i = j*o for i.
-3
Let u = 11 - 7. Suppose -2*s + u = -6. Solve y - 12 = -4*a - 3*y, 4*y + 24 = s*a for a.
4
Let x(z) = -z - 8. Let y be x(-6). Let m = y - -4. Let q be 1 + 8/m + -2. Solve -5*i - 13 = 3*t, q*t + 11 = -4*i - 0 for i.
-2
Suppose -4*j + 29 = 4*x - x, 5*j = -x + 39. Solve -2*k - 1 = 5*f - j, -3*k + 3*f - 21 = 0 for k.
-4
Suppose t - 15 = -5*x, -5*x + 8 = -4*t - 7. Solve 4*p = x*p + n, 2*p - n = -3 for p.
-3
Let a be (2/5)/((-1)/25). Let g = 10 + a. Solve -3*u = k + 14, g = 3*u + 2*k - 0*k + 16 for u.
-4
Let q(t) = -t - 1. Let g be q(-5). Let u = -1 - -1. Let o be 4 - (-1 + 2 - u). Solve 0 = -o*y + 4*f - 3, -2*f + g = -2*y - 2*y for y.
-1
Suppose -3 = -3*t - 12. Let o be (0 - t)/(5 + -4). Solve 3*w = 4*l + 10, -l + 2*w = -o*w + 11 for l.
-1
Let i(w) = 2*w. Let r be i(5). Let y = r + -10. Solve 4*c + 10 = -3*h, 3*c - c + 2 = y for h.
-2
Let d(k) = k**3 - 2*k**2 + k - 1. Let i be d(2). Solve -4*v - j = -i + 17, -3*v = 4*j - 1 for v.
-5
Let s = 10 + -8. Solve -3*h - 7 = s*l - 0, 0 = h - 1 for l.
-5
Let t(y) = -y**2 - 4*y + 4. Suppose a = -4*a - 20. Let i be t(a). Suppose 2*f = 3 + 9. Solve -3*x - f = g, -3*x + x = -i*g + 18 for g.
3
Suppose -2*g + 4*c + 24 = 0, -3*g + 5*g + 5*c = -3. Suppose -q + g*q + 1 = -3*x, -2*x - 6 = -2*q. Solve 2*u + q = a + 5, -4*u + 8 = -5*a for u.
2
Suppose 6*j = 2*j + 12. Suppose -w = -2 - 3. Suppose 0 = 2*p + t - j, -w*p - 9 = -5*t + 2*t. Solve p = u - 4*u - 2*q - 8, 0 = -5*u - 4*q - 12 for u.
-4
Let d = -3 + 3. Let b(c) = c**2 - 16*c + 61. Let x be b(12). Solve 0*w + w - 5*z + 2 = 0, 5*w - 2*z - x = d for w.
3
Suppose 2*z + 2*z = 8. Suppose -2*a - 14 = -f, -z - 25 = -3*f + a. Solve -2*t - f = 3*v, 3*v - 3 = 2*v + 5*t for v.
-2
Let h(q) = -2*q + 22. Let p be h(7). Solve -16 = 4*d, -4*l + 0*l + d = -p for l.
1
Suppose 0*k = -3*k - 30. Let r(m) = m + 12. Let q be r(k). Solve -j - 2 = 5*c, j = c + q*j - 2 for c.
-1
Let b be (-3 - -4)/((-1)/(-5)). Let l = b + -5. Suppose 3*y = -4*j + 25, -y = j - 3*j + 5. Solve 5*x + l - 32 = 3*u, 0 = -y*u - 5*x + 8 for u.
-4
Suppose -c + 6 = -2*w, -3*c + w + 10 = 3*w. Solve 4*z + 0*z + c = -3*k, 0 = 4*k + 5*z + 6 for k.
-4
Let m(g) = -3*g. Let t be m(-2). Let b be (2 - 2)/(t - 3). Let n = b + 3. Solve 0*s + 5 = -5*q - 2*s, -n*q - 24 = -3*s for q.
-3
Suppose q = 5, -5*u + 3*q = 7*q - 20. Let g be (1 + -1)*(u - -1). Solve -2*x + 13 = -g*c - 5*c, 0 = 4*x + 4*c + 16 for x.
-1
Suppose -4*s = -s - 18. Solve 2*h - s*h + 2*f = -4, 0 = h - 2*f - 1 for h.
1
Suppose y = -4*y + 25. Suppose -4*s = -y - 3. Solve 0 = i + 3*i, -2*w - 2*i + s = 0 for w.
1
Let b(k) = -k**2 + 4. Let p be b(0). Solve -p*t = -5*g + 26, -2*t = g - 3*t - 6 for g.
2
Let j = 2 + 0. Solve 3*k + 9 = 5*v, -j*v + 14 = 3*k + 2 for v.
3
Suppose -q = -0*q + 3*b - 21, 2*q + 4*b - 40 = 0. Suppose -28 = -4*s - 3*j - 5, 3*s + 3*j - q = 0. Solve 20 = -3*a - s*l, -2*a - 8 = 4*l + 8 for a.
0
Let l be 5 + -4 - (-1 + -2). Solve 5*p - l = -g - 32, 0 = -3*p + 2*g - 9 for p.
-5
Suppose 4*y = 5*v + 38, -2*y - 2*y - 2*v + 52 = 0. Solve 0
|
{
"pile_set_name": "DM Mathematics"
}
|
5)*-2*-1 + sqrt(95) + sqrt(95) + (sqrt(95)*2*-2 - sqrt(95)))/(5*sqrt(245)*-2).
sqrt(19)/70
Simplify ((4*1*sqrt(30))/sqrt(2))/(-6*(sqrt(5) - -2*sqrt(5))*-6).
sqrt(3)/27
Simplify -1 + (2*(sqrt(112) + -3 + sqrt(112))*4*-6)**2.
-110592*sqrt(7) + 1052927
Simplify (sqrt(35) + -4*4*sqrt(35))/(sqrt(60)/sqrt(48)).
-30*sqrt(7)
Simplify 0 + sqrt(147) + 1 + sqrt(147) + (1 + sqrt(147) + -2 - sqrt(147)) + -2.
-2 + 14*sqrt(3)
Simplify (-1*(sqrt(117) + 0 + (sqrt(104) - (sqrt(104) + (1*sqrt(104) - sqrt(104))) - sqrt(104))/sqrt(8)) + 6*(3 + sqrt(1053) + 0 - sqrt(1053)))**2.
-72*sqrt(13) + 376
Simplify 5*(5*(3 + sqrt(847)) + sqrt(847))**2*6*4.
237600*sqrt(7) + 3686040
Simplify -4 + 3 + (((sqrt(1053) - (-1 + sqrt(1053))) + -4)**2 + sqrt(1053) + sqrt(1053))*-2.
-36*sqrt(13) - 19
Simplify (sqrt(400)/(3*sqrt(90)))/(sqrt(80)/((sqrt(80) + sqrt(80) + sqrt(80)*2)/sqrt(8))).
4*sqrt(5)/9
Simplify -2*(sqrt(243)*3 + 1 + 0)**2.
-4376 - 108*sqrt(3)
Simplify (sqrt(119) - (sqrt(119) + (sqrt(119)*5 + sqrt(119))*-5))/(sqrt(84)/(-3*sqrt(12))).
-90*sqrt(17)
Simplify -1*(-5*(1 + sqrt(5)) + 2) - (-3*sqrt(25)/(sqrt(5)*1) + -4).
7 + 8*sqrt(5)
Simplify ((1*(sqrt(228) - ((sqrt(228)*-3 - sqrt(228) - sqrt(228)) + sqrt(228))) - sqrt(228))*1)/((sqrt(108) + sqrt(108)*2)*-4).
-sqrt(19)/9
Simplify 0 + sqrt(567) + 3 + (-3 + sqrt(175))**2 + sqrt(1008)*2.
3*sqrt(7) + 187
Simplify (-5*(sqrt(30) + -5*(sqrt(30) + (sqrt(30) - sqrt(60)/sqrt(2))))/(sqrt(10) - sqrt(120)/sqrt(3)) + -4)**2*-3.
-3648 - 480*sqrt(3)
Simplify (1*sqrt(190)*6*-3)/(2*sqrt(90)*6 + sqrt(90)).
-6*sqrt(19)/13
Simplify (-2 + ((sqrt(931) + (sqrt(931) - sqrt(931)*1))*-5 + 0 + sqrt(931) + -4)**2)*3.
672*sqrt(19) + 44730
Simplify -3*((sqrt(180)*-1 + 5)*-2 - (5 + (0 + sqrt(180) + sqrt(180) - sqrt(180)) - (sqrt(180) + (sqrt(180) - (-3 + sqrt(180) + 1*sqrt(180))))))**2.
-972 + 432*sqrt(5)
Simplify ((-5 + -1*sqrt(405))*-2 + (1 + sqrt(405) + -4 - sqrt(405) - (sqrt(405) - -4*(sqrt(405) + 1))))**2.
-162*sqrt(5) + 3654
Simplify (sqrt(1458) - 6*2*sqrt(1458))/(-6*sqrt(96)/sqrt(4)).
33*sqrt(3)/4
Simplify 5 + -6*-5*sqrt(108).
5 + 180*sqrt(3)
Simplify (sqrt(234)/(sqrt(6)*-1) - (sqrt(39) + (sqrt(1404) - sqrt(1404)*-2)))/(sqrt(768)*-1).
5*sqrt(13)/4
Simplify ((-1 + sqrt(128))*6)**2 + 3*(sqrt(72) - sqrt(18))**2.
-576*sqrt(2) + 4698
Simplify 4 + (-6*-2*sqrt(550))/((sqrt(11) - sqrt(88)/sqrt(32)) + sqrt(11) + sqrt(11) - sqrt(11))*-5.
-200*sqrt(2) + 4
Simplify (2*sqrt(204)*-5 + (sqrt(204) + (sqrt(204) + (sqrt(204)*-1 - sqrt(204)) - sqrt(204)) + sqrt(204))*5 + sqrt(204))/(-3*sqrt(120)/(sqrt(40)/sqrt(4))).
3*sqrt(17)
Simplify 4 + (-2 + sqrt(475))**2 + 0 + sqrt(475)*3*5.
55*sqrt(19) + 483
Simplify ((5*-1*sqrt(660))/sqrt(12))/((sqrt(100)/(sqrt(40)/sqrt(4)))/sqrt(2)).
-5*sqrt(11)
Simplify (sqrt(1440) + sqrt(1440)*-4)/(sqrt(48)/sqrt(6)).
-18*sqrt(5)
Simplify (sqrt(105)/sqrt(80) - sqrt(21))/(sqrt(24)/(sqrt(32)/sqrt(4)) + sqrt(3) - sqrt(3))*6*1.
-9*sqrt(7)/2
Simplify (sqrt(800)*-4)/(-1*sqrt(90) - sqrt(90))*-5*2.
-80*sqrt(5)/3
Simplify (sqrt(19) - ((sqrt(57)/sqrt(3))**2 + 5)) + (sqrt(57)*-2 + sqrt(57))/sqrt(3) + (2*(2 + sqrt(19)))**2 + 4.
16*sqrt(19) + 72
Simplify -3 + (3 + sqrt(180) - sqrt(180))*-5 + -2 + 3.
-17
Simplify ((-4 + sqrt(325) + 0)*2 + (sqrt(325) + 2*sqrt(325)*-1 + sqrt(325) - (sqrt(325) + 1)*-6))**2.
-160*sqrt(13) + 20804
Simplify ((sqrt(70) - 2*sqrt(70)*-1) + -2*sqrt(70)*5)/(sqrt(90)/(-4*sqrt(27)/sqrt(3))).
28*sqrt(7)
Simplify (-1 + 0 + sqrt(75)*4 + -4*(0 + sqrt(75)))**2.
1
Simplify ((-4*(sqrt(6336) - sqrt(6336)*1) - -1*(sqrt(6336) + -1)) + -5)**2.
-288*sqrt(11) + 6372
Simplify -6*(sqrt(190)/(-2*(1*sqrt(10) + sqrt(10))) - sqrt(57)/(-1*sqrt(12)/sqrt(4))).
-9*sqrt(19)/2
Simplify ((sqrt(77) + 3*sqrt(77)*4 + sqrt(77) + sqrt(77) + sqrt(77))/(sqrt(825)/sqrt(3)))**2.
1792/25
Simplify (5*((sqrt(44) - 3*sqrt(44)*4) + sqrt(44)))/((sqrt(28)/(sqrt(7)*-1) - sqrt(4)) + ((sqrt(56)/sqrt(2))/sqrt(7) + sqrt(4) - sqrt(4))).
50*sqrt(11)
Simplify (4 + (sqrt(187)*-1)/sqrt(11))**2 + (1 + (sqrt(17) - sqrt(68)/sqrt(36)))**2.
-20*sqrt(17)/3 + 374/9
Simplify (-4 + (sqrt(2)*2)**2 + sqrt(14)/sqrt(112))*4 + -3.
sqrt(2) + 13
Simplify ((5*(sqrt(135) + (sqrt(135) - sqrt(135)*-1) + sqrt(135)))/sqrt(9))/(6*sqrt(36)/sqrt(3)).
5*sqrt(5)/3
Simplify ((2 + (sqrt(98) - (sqrt(98) - (sqrt(98) - (sqrt(98) + 1)*-1 - sqrt(98)))) + 2)*6 + 4)**2.
2856*sqrt(2) + 4684
Simplify (((sqrt(2541)*1 - sqrt(2541)) + sqrt(2541))/((sqrt(56) + sqrt(56)*4)/sqrt(8)))**2.
363/25
Simplify -3 + (sqrt(99))**2 + (sqrt(11) - sqrt(33)/(-2*sqrt(3))) + -2 + sqrt(539) + 0.
17*sqrt(11)/2 + 94
Simplify 2*(-3 + sqrt(50) + -6*(sqrt(32))**2)*6.
-2340 + 60*sqrt(2)
Simplify ((sqrt(68) - (sqrt(68) - -4*1*sqrt(68))) + sqrt(68) + (1*sqrt(68) + sqrt(68))*5)/(sqrt(44)/(sqrt(66)/sqrt(6))*6).
7*sqrt(17)/6
Simplify 4 + (6*sqrt(72))/(sqrt(4) - (sqrt(324)*2 + sqrt(324) - sqrt(4))).
-18*sqrt(2)/25 + 4
Simplify (sqrt(117) + (sqrt(117) - -5*1*sqrt(117)) + sqrt(117))/(sqrt(81) + (sqrt(81) - sqrt(81)*-3) - sqrt(81)) + 2.
2 + 2*sqrt(13)/3
Simplify 2*(2 + sqrt(128)*6 + (sqrt(32) - (sqrt(32) + sqrt(800)*2)))**2.
64*sqrt(2) + 264
Simplify (((-1*sqrt(68) + sqrt(68))*1 - (sqrt(68) + -1*((sqrt(68) - sqrt(68)*-1) + sqrt(68)) - sqrt(68)))/(sqrt(4)*2*-5 - sqrt(4)*1*6))**2.
153/256
Simplify (sqrt(32)/(sqrt(12)/sqrt(3)*-2))/(sqrt(20)/(sqrt(5) + sqrt(20))*6).
-sqrt(2)/4
Simplify ((sqrt(425) + sqrt(425)*2 + 0 - (sqrt(425) - (sqrt(425) - (sqrt(425) + sqrt(425)*-1)*-4)))*3)**2.
34425
Simplify 1*(((sqrt(40)/sqrt(4)*-3)/sqrt(5))**2 - (1*sqrt(128))/sqrt(4)).
-4*sqrt(2) + 18
Simplify (2 + sqrt(147))**2 + -2 - (-4 + (sqrt(12)/sqrt(4)*-2)**2).
28*sqrt(3) + 141
Simplify 3*(1 + (5 + 1*sqrt(7) - (-4 + sqrt(28)/sqrt(4)))**2)*-5.
-1230
Simplify (sqrt(272) - -3*((sqrt(272) - (sqrt(272) - -4*sqrt(272)))**2 - sqrt(272)) - ((sqrt(272) + -1)*3)**2) + 5.
64*sqrt(17) + 10604
Simplify 4 + ((4 + 3 + sqrt(162) + sqrt(162) + 1)*5)**2.
7200*sqrt(2) + 17804
Simplify ((sqrt(175)/(4*sqrt(5)))/((sqrt(20)/sqrt(4) + sqrt(5))*3))**2*3.
7/192
Simplify ((-1*sqrt(171)*1 - 5*(sqrt(171) + -1)) + -6*-4*sqrt(171) + 5)**2.
1080*sqrt(19) + 55504
Simplify (-1 + 5 + sqrt(18)/sqrt(9) + -2 + -3*(0 + sqrt(2)) + -1)**2.
-4*sqrt(2) + 9
Simplify ((3 + 1 + sqrt(5) + -2 + sqrt(5))**2 + (sqrt(245)*-4 + 1 - sqrt(245)))*5.
-135*sqrt(5) + 125
Simplify (1*(sqrt(3) + sqrt(432) + -1)*-6)**2*6 + 2.
-5616*sqrt(3) + 109730
Simplify -1 + (sqrt(130) - 6*(sqrt(130) + sqrt(130)*-4))/(sqrt(490)*-4).
-19*sqrt(13)/28 - 1
Simplify ((sqrt(114) + (sqrt(114) - sqrt(114)*-3))/sqrt(2))/(1*(-3*sqrt(3) - sqrt(3))).
-5*sqrt(19)/4
Simplify 3 + (3*sqrt(704)*2*2)**2.
101379
Simplify (0 + (sqrt(68) - (sqrt(68) + 3 + sqrt(68) + 1)) + (sqrt(68) + 1)*1 + -3)**2.
36
Simplify 3 + (-2 + sqrt(405) + sqrt(405))**2 - (-4*-2*sqrt(500) - sqrt(500)).
-142*sqrt(5) + 1627
Simplify sqrt(931) + -3 + -3 - (((sqrt(19) + sqrt(76) + 3)**2 - sqrt(19)) + sqrt(209)/sqrt(99) + sqrt(19)).
-186 - 34*sqrt(19)/3
Simplify (sqrt(288)/(sqrt(40)/sqrt(5)))/((sqrt(120)/sqrt(2))/sqrt(5) + sqrt(12))*-6*1.
-3*sqrt(3)
Simplify ((5 + sqrt(425) + 3 + 1)*5)**2*6.
13500*sqrt(17) + 75900
Simplify 1*sqrt(84)/(sqrt(24)/sqrt(2) + sqrt(12)) - sqrt(63)/((1*sqrt(63))/sqrt(7) + sqrt(9)).
0
Simplify (6*sqrt(78)*-2 + 2*sqrt(78)*-4)/(sqrt(30)/(-2*sqrt(80))) + 3.
3 + 160*sqrt(13)
Simplify -4*(-2 + -5 + sqrt(1573) + sqrt(1573)*2 + sqrt(1573) + -1)**2.
-100928 + 2816*sqrt(13)
Simplify (-2*(sqrt(684) + sqrt(684) + -2) - 1*(-3*sqrt(684))**2) + 0.
-6152 - 24*sqrt(19)
Simplify 5*(sqrt(17) - (sqrt(17) + (sqrt(272) - (sqrt(272) + 1))))**2 - (sqrt(833) + 0 + -3)**2.
-837 + 42*sqrt(17)
Simplify (-6*(sqrt(136) + (sqrt(136) - (sqrt(136) + -3*sqrt(136))*-1)))/(sqrt(64)/sqrt(72) - 4*(sqrt(8) - sqrt(128))).
0
Simplify (-1 + (sqrt(1053) + 4)*-1*4)**2.
1224*sqrt(13) + 17137
Simplify (sqrt(2793) - (sqrt(2793) + 3*sqrt(2793)))/(3*sqrt(363)).
-7*sqrt(19)/11
Simplify 5*((0 + sqrt(3) + -5)*6 + sqrt(18)/(sqrt(162)/sqrt(3))).
-150 + 95*sqrt(3)/3
Simplify 6*((sqrt(637)*2*-3 - (sqrt(637)*-1 + 3)**2) + -5).
-3906
Simplify (-5 + (-1 + sqrt(500) - sqrt(500)) + sqrt(500) + -6*(sqrt(500) + -1 - sqrt(500)) - 1*((0 + sqrt(500) + sqrt(500) - sqrt(500)) + 0))**2.
0
Simplify -3 + 5 + sqrt(17) + 1 + -3 - ((sqrt(85)*-2*-2 + sqrt(85) + sqrt(85) - sqrt(85) - sqrt(85))/(sqrt(5) + (sqrt(60)*2)/sqrt(12) + sqrt(5)))**2.
-17 + sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
2/3
What is the value of 1/(-1)*-2*(-1)/(-2)?
1
(-5)/(-60)*2*6
1
Calculate ((-2)/(-21))/((-6)/(-9))*2.
2/7
What is the value of (35/30)/((-70)/(-45))?
3/4
What is 6/10 + 24/(-60)?
1/5
What is the value of (-140)/(-36) - (1 - 6/(-2))?
-1/9
Calculate -5 + -4 - 806/(-78).
4/3
Evaluate (1 + 0)/((-60)/28 - -2).
-7
What is (-2)/11 - (-96)/(-440)?
-2/5
Calculate 2/(-13) - (-2)/13.
0
What is (7/35)/(-5 - 42/(-5))?
1/17
What is -6*((-464)/(-66) - 7)?
-2/11
Calculate ((-1)/(-3))/((8 + 0)/24).
1
What is the value of (9 - 11)*2/(-10)?
2/5
What is the value of (8/33)/4 + -6 - -6?
2/33
Evaluate ((-1)/2)/(-2 - (-133)/56).
-4/3
Evaluate 24 - 19 - 0/2.
5
Calculate ((-32)/16)/((-20)/(-6)).
-3/5
Calculate 16/(-72) + (77/(-90))/(-7).
-1/10
Calculate 1/(-2)*(-12)/(5 - 3).
3
0/(-1) + 0 - 5
-5
Evaluate (18/(-84))/(-2*(-3)/8).
-2/7
(-9)/(-5)*17/(-51)
-3/5
What is the value of 13/(-7) + (-42)/(-49)?
-1
Calculate 19/(-4) - -4 - -1.
1/4
What is (-23)/(92/(-8)) + (-36)/17?
-2/17
Evaluate 6 - (235/30 - 2).
1/6
What is the value of (1*(-12)/(-15))/(44/110)?
2
What is (-14)/16 + 1 + (-36)/96?
-1/4
What is ((-8)/18)/(7/21)?
-4/3
(16/40)/(9/(-5))*6
-4/3
What is the value of ((-4)/3)/(7 - 11 - -5)?
-4/3
Evaluate ((-6)/(-9))/(7/84*2).
4
What is (-32)/(-63) - (-20)/(-70)?
2/9
What is the value of (-4 + 25*(-1)/(-6))*-9?
-3/2
What is 18/(-70) - (-18)/315?
-1/5
What is (1/1)/(10/(-1 - -6))?
1/2
((-638)/(-33) + -17)*(-8)/(-42)
4/9
What is the value of 7*(-3 + 360/84)?
9
What is the value of (-18)/2 + (-21 - -33)/12?
-8
-2 - (27/3 + 0)
-11
What is the value of (7 - 1) + (-24 - (-3 + -21))?
6
Evaluate 528/(-1320)*(2 + 0).
-4/5
What is (-186)/(-252) + (-12)/(-126)?
5/6
What is the value of (-3 + -2)/(-35) + (-68)/280?
-1/10
What is (312/(-260))/(3/10)?
-4
200/(-495) - (-4)/88*4
-2/9
What is the value of (18/(-45))/((-26)/(-10))?
-2/13
What is the value of (10 + 2)/6 + 24/(-13)?
2/13
Calculate ((-16)/(-96))/((-2 - -1)/(-2)).
1/3
Evaluate (4/(-10))/(2/(-10)).
2
What is ((-23)/138)/(7/(-6))?
1/7
What is -1 + ((-16)/18 - -2)?
1/9
Evaluate 386/126 + (-30)/(-135) + -3.
2/7
(-20)/(-50) - (3/(-5) - 2)
3
Evaluate 4/60*-2 - 116/30.
-4
What is the value of 8/(-200)*-4*(-6 - -1)?
-4/5
What is (-9)/6*(-12)/(-54)?
-1/3
What is the value of (13 + 62/(-5))/1?
3/5
Calculate 5/((-150)/(-12)) - 2/(-10).
3/5
What is the value of 4/18 - (-820)/(-1260)?
-3/7
Calculate (-8*(-10)/240)/((-22)/(-18)).
3/11
What is the value of ((-3)/18)/((-24)/(-108))?
-3/4
Calculate (-21)/((-441)/14) + (-1)/6.
1/2
What is the value of (4/6)/(4/(-12))?
-2
6 + (-3 - 0) + 1
4
What is 58/(-87) + (-2)/(-3)?
0
525/(-63) + (8 - 0)
-1/3
Evaluate 9/(-5) + 1 - 84/20.
-5
Calculate -2 - 35/(-14) - (-7)/(-6).
-2/3
27/(-15)*490/147
-6
What is the value of (0 - 1)*11/(847/14)?
-2/11
What is the value of (6/7)/((-63)/(-441))?
6
What is -9 + (9 - 16) + 16?
0
What is ((-4)/(-8))/(2/(-6))?
-3/2
What is the value of ((-39)/(-26))/(1/2)?
3
What is (-91 - -92)/(((-15)/9)/5)?
-3
What is (-4)/(-18) + (-14)/(-18) + -4?
-3
(999/72)/(-3) + 2 + 3
3/8
Evaluate (-312)/540 + (-12)/(-90).
-4/9
What is the value of ((3 + -12)*3/(-15))/3?
3/5
Evaluate ((-4)/(-10))/(38/(-5) - -5).
-2/13
Calculate (-30)/(-20)*20/(-105).
-2/7
2/4 + ((-9)/10 - 0)
-2/5
Evaluate ((-60)/9 + 6)*(-1)/2.
1/3
What is the value of 2/(-11) + (-1972)/(-319) + -5?
1
What is the value of (1/3)/(1 + (-7)/6)?
-2
Evaluate ((-1)/(-2) + -1)*-6.
3
What is (-27)/(-6)*8/(-6)?
-6
What is the value of -3*(-12)/27*(-15)/(-130)?
2/13
Calculate ((-9)/(-72))/(5/45*3).
3/8
What is -12 + 2 + 12 + 2?
4
Evaluate 4/(-18) + 190/450.
1/5
Calculate (-20)/8 + (-9)/6.
-4
What is (1/(-10))/((-10)/(-25))?
-1/4
(-360)/45 - 38/(-5)
-2/5
Calculate ((-3)/(-9))/((-6)/9).
-1/2
Evaluate (-2)/(-1*8/(-16)).
-4
Calculate -2 - (-19)/10 - 122/(-20).
6
Calculate 2/(-35) + (-1749)/1855.
-1
0/((-42)/(-7))*-1
0
What is the value of (-4)/(-7) - 682/(-154)?
5
What is the value of 30/14 - (-36)/42?
3
(-3 - -3)/((-2)/(-1))
0
What is ((-220)/(-352))/(20/8)?
1/4
Evaluate -4 - (-24)/(8 + -6).
8
Calculate (-2)/4*(-18)/(-3).
-3
What is the value of (7 - 168/91) + -5?
2/13
What is (-16)/(-40)*(-10 - 0)?
-4
What is 4*((-2 - -2) + (-5)/30)?
-2/3
Evaluate -6*(-2)/(-9)*6/(-64).
1/8
Calculate (-936)/81 + 12 + 224/(-180).
-4/5
Calculate ((-6)/(-15))/((-180)/(-100)).
2/9
What is the value of (-10)/(-4)*648/405?
4
(-390)/234*12/(-10) + -11
-9
Calculate (-122 - -123) + (-2 - -1)/3.
2/3
What is 1 + (-5)/25 + (-27)/15?
-1
Evaluate -1*-1*3 - (-19)/(-6).
-1/6
Evaluate 0 + -1*11 + (20 - 19).
-10
Evaluate (0 - (-2)/(-10))/(38/(-95)).
1/2
What is (8/10*2)/((-2)/(-5))?
4
Evaluate -8 - ((-1)/4 - -1)*-4.
-5
What is 12/2*2/4?
3
What is the value of (4 - (-156)/(-38)) + (-74)/19?
-4
(32/4)/(-6*6/18)
-4
Calculate ((-12)/(-6) - 20/9)*-1.
2/9
Evaluate 5/(-20) + 3/4.
1/2
What is (40/(-18) - -1) + 130/585?
-1
Evaluate (16*(-1)/30)/((-12)/(-18)).
-4/5
Evaluate (2/(-12))/((-16)/(-36)).
-3/8
Evaluate (0/1 - 5) + (42 - 41).
-4
What is the value of (-207)/(-46)*(8/30)/2?
3/5
165/25 + -7 + (-17)/(-5)
3
Evaluate (36/(-6))/(-1) + 3.
9
-3 + 10/3 + (-3 - -3)
1/3
(((-440)/33)/8)/(2/6)
-5
What is 60/24*4/50?
1/5
(-1870)/(-306) + (-1)/9
6
What is the value of ((-6)/10)/(0 - (-1)/(-5))?
3
Evaluate 1/3 + -5 - -4*1.
-2/3
9 + -8 + 2 - -2
5
175/(-30) - (-4)/(4*-6)
-6
5/(-1) - 0/34
-5
4/(-6)*(-15)/(-35)
-2/7
What is (42/(-10))/7*24/9?
-8/5
((-1)/(2/(-4)))/((-76)/(-114))
3
What is the value of (23 - (-2 - -5))*1/4?
5
What is (-10)/15 + 7/42?
-1/2
What is the value of (10 + 2)/(-3) - (-123 - -117)?
2
2920/(-624) - -5 - 2/13
1/6
Evaluate (-4)/8 + 0 - 9/(-42).
-2/7
(20/(-100))/(-3 + 4)
-1/5
What is 4/2 + 480/(-228)?
-2/19
What is (3/63)/((-6)/(-18))*7?
1
594/1458 + 3/(-9)
2/27
12/27 - 16/24
-2/9
What is -8*5/15*12/(-32)?
1
What is the value of ((-10)/(-4))/(-18 + 13)?
-1/2
Calculate ((-42)/(-7) - 1) + (-3 - 0).
2
What is (-306)/36 + 7 + 53/38?
-2/19
What is the value of (-2779)/392 + 7 + 8/(-28)?
-3/8
What is the value of -20*9/144 + 14/(-8)?
-3
What is the value of (-7 - -11) + (-16)/5?
4/5
What is 5/(-10) - (-15)/20?
1/4
What is 47/(235/50) + (-1)/1?
9
Calculate 21/56 - 6/16.
0
Calculate 7/(-2)*29/((-1015)/30).
3
What is ((-11)/(-5) - 2)/((-64)/(-80))?
1/4
Calculate 42/24 - (-60)/(-144).
4/3
Evaluate 406/(-1470) - 1/(-7).
-2/15
Calculate ((-35)/56)/(3/(-24)).
5
What is -2*(-56)/20 - 6?
-2/5
(-1 + (-1)/(-1))/(-3)
0
What is the value of 2/4*(-14)/(-70)?
1/10
Evaluate (-28)/2*47/(-658).
1
What is the value of (-14)/(112/(-72)) + -13?
-4
What is the value of 7/(-84)*(-3 - 5)?
2/3
Evaluate 38/4 + (-38 - -29).
1/2
Evaluate 1*((-8)/12 + 208/24).
8
What is the value of (-5 + 8)*(-16)/(-12)?
4
What is (-8 + 18)*(-1)/(-6)?
5/3
Evaluate (-4 + (-13)/(-3))*-2*3.
-2
What is the value of 75/30*(-2)/3?
-5/3
(-1)/(-2) - 12/56
2/7
-2 - 0 - (-4)/4
-1
What is (7 - (-136)/(-16))*2?
-3
(-196)/(-560) - (-2 - (-14)/8)
3/5
Calculate (-12)/(-5 - -11) + (-1)/(-2).
-3/2
Evaluate (42/(-6))/28*1.
-1/4
What is the value of 4 - ((-8)/4)/(-2)?
3
Evaluate (28/(-84))/(8/(-3)).
1/8
Evaluate (1 - (-30)/24) + (-2)/8.
2
What is 13/130 + 2/5?
1/2
What is the value of 12/(-18) + (-3)/(-9)?
-1/3
What is 1/(-6) + (-105)/126?
-1
Evaluate -2*((-75)/(-40) - 2).
1/4
Calculate 1*-4 + (-150)/(-45).
-2/3
What is -2 - -9 - 2980/420?
-2/21
Evaluate (-8)/(3*(8/(-12) - 0)).
4
Evaluate 1/(-21)*(-9)/3.
1/7
392/48 + -6 - 2
1/6
What is -6 + ((-9)/36)/(5/(-20))?
-5
What is the value of ((-6)/4)/(3 + 30/(-16))?
-4/3
Evaluate (-25)/15*(-15)/(-10)*-2.
5
2*7*30/140
3
((-16)/12)/(110/15)
-2/11
What is the value of (-9 - 0) + 0 + 6?
-3
6 - (3 + (3 - 2))
2
Evaluate 37/(-8) - 42/112 - -1.
-4
What is (-54)/10 - 10*12/(-300)?
-5
(-36)/15 + 2/((-6)/(-9))
3/5
What is the value of 38/12 + 1*(2 + -5)?
1/6
Evaluate 2/9 + (-7)/(-9).
1
What is -3 - ((-12)/66 + (-80)/44)?
-1
What is the value of (-9)/6*2/(-3)*-6?
-6
What is -4 - (-11 - -11)*1*-1?
-4
Calculate (2/4)/((-7)/42).
-3
What is the value of ((-3)/(-2))/(6/4)?
1
(-2)/6 - ((-19)/3 + 2)
4
What is the value of (-40)/(-14) - (-1)/7?
3
What is (-6 - -2)*2*(-1)/4?
2
Calculate 11/(-10) - 6/(-4).
2/5
What is the value of -7 + 10 + (-39)/12?
-1/4
Calculate -4 - 2 - 0 - -5.
-1
What is the value of (-4)/26 + (-1125)/(-130) + -6?
5/2
((-33)/(-54))/(-11)*-4
2/9
What is the value of (-8)/10 + ((-7)/(-1) - 6)?
1/5
E
|
{
"pile_set_name": "DM Mathematics"
}
|
thout replacement from cooooocooc. What is prob of sequence cc?
1/15
Two letters picked without replacement from qqqeqqqqqqqqqqeqqq. What is prob of sequence qe?
16/153
What is prob of sequence dbs when three letters picked without replacement from bdssbbsss?
5/168
Four letters picked without replacement from ahhhcakhhkrrrhrk. Give prob of sequence arhk.
3/910
Three letters picked without replacement from {o: 8, t: 2}. Give prob of sequence tot.
1/45
Three letters picked without replacement from oeqllxlelq. What is prob of sequence lqe?
1/45
Four letters picked without replacement from {a: 3, i: 5, j: 3}. Give prob of sequence jaii.
1/44
Three letters picked without replacement from tttrtrttttt. Give prob of sequence trt.
8/55
Two letters picked without replacement from {d: 2, g: 7}. What is prob of sequence gd?
7/36
Calculate prob of sequence ihh when three letters picked without replacement from {e: 4, i: 5, h: 10}.
25/323
Three letters picked without replacement from fbffbbbbbbffb. Give prob of sequence fff.
5/143
Calculate prob of sequence iwih when four letters picked without replacement from whhiswhhhweiwhicch.
7/3060
What is prob of sequence yyby when four letters picked without replacement from byyyyyyyyyyyy?
1/13
What is prob of sequence nne when three letters picked without replacement from nnnnnnnnnnennnn?
1/15
Calculate prob of sequence uuu when three letters picked without replacement from uujuuujj.
5/28
Calculate prob of sequence bqbe when four letters picked without replacement from {b: 4, z: 2, d: 2, q: 3, e: 1, t: 2}.
3/2002
Four letters picked without replacement from {j: 4, l: 6}. Give prob of sequence ljjl.
1/14
Three letters picked without replacement from {v: 2, t: 2, m: 7}. What is prob of sequence vmv?
7/495
Calculate prob of sequence sii when three letters picked without replacement from {i: 13, s: 3}.
39/280
What is prob of sequence ee when two letters picked without replacement from ezezzwzewweeeww?
1/7
Two letters picked without replacement from kikukuuktkpv. Give prob of sequence ik.
5/132
What is prob of sequence xxj when three letters picked without replacement from wjwxxwwxxjjw?
3/110
Two letters picked without replacement from {j: 1, t: 2, u: 2, g: 8, y: 2, s: 5}. Give prob of sequence ys.
1/38
What is prob of sequence ysl when three letters picked without replacement from wbwywvsbbbyl?
1/660
Three letters picked without replacement from {q: 1, j: 1, n: 5, v: 2}. Give prob of sequence qvn.
5/252
Two letters picked without replacement from {t: 1, w: 1, o: 4, a: 1, f: 4}. What is prob of sequence fa?
2/55
What is prob of sequence ss when two letters picked without replacement from {s: 6, n: 12}?
5/51
Three letters picked without replacement from {d: 10, t: 1, c: 3, h: 1, r: 1, p: 3}. What is prob of sequence tdp?
5/969
What is prob of sequence rr when two letters picked without replacement from {r: 9, c: 10}?
4/19
Calculate prob of sequence ssi when three letters picked without replacement from seesseezeeeeeseeeise.
1/342
What is prob of sequence oo when two letters picked without replacement from oooooo?
1
Two letters picked without replacement from tyyyyyryyytyyy. Give prob of sequence ty.
11/91
Calculate prob of sequence dnhl when four letters picked without replacement from hgldllggggjhggjnggdd.
1/6460
Two letters picked without replacement from {u: 2, i: 4, t: 2, e: 1}. What is prob of sequence ie?
1/18
What is prob of sequence kkkk when four letters picked without replacement from kkkyykykykyk?
7/99
What is prob of sequence es when two letters picked without replacement from {r: 1, x: 3, e: 3, f: 2, s: 7, q: 1}?
21/272
Calculate prob of sequence bbz when three letters picked without replacement from bjljzlbz.
1/84
Two letters picked without replacement from {u: 9, k: 5, o: 3, g: 2}. Give prob of sequence ug.
1/19
Four letters picked without replacement from {v: 2, w: 5, s: 4}. What is prob of sequence vsss?
1/165
Two letters picked without replacement from {h: 1, j: 2}. Give prob of sequence hj.
1/3
Four letters picked without replacement from {a: 6, u: 6}. Give prob of sequence uuau.
2/33
Three letters picked without replacement from {p: 5, s: 1, u: 3}. What is prob of sequence spp?
5/126
Four letters picked without replacement from vhcvccncni. Give prob of sequence ihvc.
1/630
Three letters picked without replacement from {g: 4, h: 1, x: 8, u: 1, n: 2}. Give prob of sequence hxg.
1/105
Two letters picked without replacement from aavtavvavaaaat. What is prob of sequence ta?
8/91
Two letters picked without replacement from czm. What is prob of sequence zm?
1/6
What is prob of sequence aj when two letters picked without replacement from {a: 2, j: 17}?
17/171
Two letters picked without replacement from ffzzffzfzfzzf. What is prob of sequence zz?
5/26
What is prob of sequence ue when two letters picked without replacement from oouuoeooqcun?
1/44
Two letters picked without replacement from {j: 5, v: 5, b: 1, i: 9}. What is prob of sequence bi?
9/380
Three letters picked without replacement from xxxcxxxqqxxc. What is prob of sequence xxx?
14/55
Two letters picked without replacement from {q: 2, v: 2, h: 4}. What is prob of sequence qq?
1/28
Two letters picked without replacement from {s: 10}. Give prob of sequence ss.
1
Four letters picked without replacement from dhemeethmstmmhteht. What is prob of sequence thme?
8/2295
Two letters picked without replacement from oooaao. What is prob of sequence oo?
2/5
Two letters picked without replacement from ddnnnddddnnndnnddddn. Give prob of sequence dn.
99/380
Four letters picked without replacement from rrrrqrhrrrrrrrhrr. Give prob of sequence rrrr.
143/340
What is prob of sequence cc when two letters picked without replacement from ccfhfhhhfcffhchfffhh?
3/95
What is prob of sequence vv when two letters picked without replacement from {v: 3, z: 5, a: 2, e: 1, q: 1}?
1/22
Three letters picked without replacement from {s: 5, z: 11}. What is prob of sequence zss?
11/168
Four letters picked without replacement from likbhububhbuhbi. Give prob of sequence bblh.
1/546
Calculate prob of sequence jnnn when four letters picked without replacement from jnnjjjjngjjjjjjjj.
13/9520
Three letters picked without replacement from {n: 1, k: 1, y: 2, m: 2, d: 2}. What is prob of sequence mkm?
1/168
Calculate prob of sequence bvb when three letters picked without replacement from {b: 7, v: 12}.
28/323
Two letters picked without replacement from ppwspsgswsu. What is prob of sequence su?
2/55
Two letters picked without replacement from {v: 3, i: 6, j: 4}. What is prob of sequence ii?
5/26
What is prob of sequence vel when three letters picked without replacement from {v: 1, l: 1, e: 1, m: 2}?
1/60
Two letters picked without replacement from bow. Give prob of sequence oo.
0
Calculate prob of sequence eej when three letters picked without replacement from eeejejeeeee.
8/55
What is prob of sequence vl when two letters picked without replacement from {j: 1, v: 1, o: 1, l: 7, n: 2, i: 2}?
1/26
Three letters picked without replacement from {l: 5, g: 4, p: 2, t: 2}. Give prob of sequence lpp.
5/858
Two letters picked without replacement from gccccccc. Give prob of sequence gc.
1/8
Calculate prob of sequence cvvv when four letters picked without replacement from cviivivii.
1/504
Calculate prob of sequence fn when two letters picked without replacement from gqgfqan.
1/42
Four letters picked without replacement from {g: 5, l: 1, b: 3}. What is prob of sequence gblg?
5/252
Calculate prob of sequence ampp when four letters picked without replacement from pwawappamppmnnmpmmm.
15/2584
Two letters picked without replacement from wwwwpwppwpw. What is prob of sequence wp?
14/55
Four letters picked without replacement from uuupggppuupppupuuu. Give prob of sequence gpug.
7/4080
Two letters picked without replacement from {t: 1, z: 1, d: 3, j: 2, k: 10}. Give prob of sequence dt.
3/272
Two letters picked without replacement from {e: 2, h: 1, k: 1, s: 1}. Give prob of sequence ke.
1/10
What is prob of sequence ooo when three letters picked without replacement from {o: 4, e: 14}?
1/204
Calculate prob of sequence yynn when four letters picked without replacement from nnynnynnnynnnnn.
11/455
Calculate prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
posite?
False
Is 1326995 prime?
False
Is 8077 prime?
False
Is 230827 prime?
True
Is 24861 a prime number?
False
Is 65679 prime?
False
Is 183387 a prime number?
False
Is 928563 composite?
True
Is 28789 prime?
True
Is 872683 composite?
True
Is 54667 a prime number?
True
Is 1511891 prime?
True
Is 65677 prime?
True
Is 250963 a composite number?
False
Is 13157 a prime number?
False
Is 1777 a prime number?
True
Is 422911 a prime number?
True
Is 4201 composite?
False
Is 16537 prime?
False
Is 79481 a prime number?
True
Is 162493 a prime number?
True
Is 18797 composite?
False
Is 677 a prime number?
True
Is 423173 composite?
False
Is 103 a composite number?
False
Is 903527 prime?
True
Is 149 a prime number?
True
Is 13309 a prime number?
True
Is 2669 a composite number?
True
Is 32771 composite?
False
Is 6103 prime?
False
Is 5167 a prime number?
True
Is 24547 a prime number?
True
Is 14281 a prime number?
True
Is 7183 a composite number?
True
Is 518083 a prime number?
True
Is 11777 composite?
False
Is 79319 a prime number?
True
Is 91241 prime?
False
Is 67055 composite?
True
Is 1541381 composite?
False
Is 128813 prime?
True
Is 6503 a prime number?
False
Is 323723 prime?
False
Is 7603 a composite number?
False
Is 16789 composite?
True
Is 122777 prime?
True
Is 834059 a prime number?
True
Is 139049 prime?
False
Is 207227 a prime number?
True
Is 7817 prime?
True
Is 135529 prime?
False
Is 22429 a composite number?
True
Is 71999 a composite number?
False
Is 2767 a composite number?
False
Is 230569 a composite number?
True
Is 6443 composite?
True
Is 3415 a composite number?
True
Is 94181 a prime number?
False
Is 1894027 prime?
False
Is 33119 a composite number?
False
Is 895 a composite number?
True
Is 51999 a prime number?
False
Is 76649 prime?
True
Is 60869 composite?
False
Is 1257573 composite?
True
Is 4327 a composite number?
False
Is 93761 composite?
False
Is 331949 a composite number?
True
Is 737939 composite?
True
Is 13541 composite?
True
Is 61441 composite?
False
Is 9017 a composite number?
True
Is 2881 prime?
False
Is 236549 a composite number?
False
Is 26179 a composite number?
True
Is 478679 a composite number?
False
Is 59327 a prime number?
False
Is 3694193 a composite number?
False
Is 92033 composite?
False
Is 674257 prime?
False
Is 300161 a prime number?
False
Is 8171 prime?
True
Is 1166881 a prime number?
False
Is 1151489 prime?
False
Is 18671 composite?
False
Is 125359 a composite number?
True
Is 77 prime?
False
Is 318319 composite?
False
Is 83689 a prime number?
True
Is 201919 a composite number?
False
Is 1361 composite?
False
Is 912959 a composite number?
False
Is 73237 prime?
True
Is 11437 prime?
True
Is 92173 a prime number?
True
Is 55582 composite?
True
Is 35537 a composite number?
False
Is 19003 composite?
True
Is 1481 a prime number?
True
Is 5181133 composite?
False
Is 72949 a prime number?
True
Is 261622 composite?
True
Is 26879 prime?
True
Is 10799 a composite number?
False
Is 12841 prime?
True
Is 157153 composite?
True
Is 381111 a prime number?
False
Is 14789 a composite number?
True
Is 269 a prime number?
True
Is 521879 prime?
True
Is 959533 a prime number?
True
Is 4201 a prime number?
True
Is 12517 composite?
False
Is 1124197 a composite number?
False
Is 1871 prime?
True
Is 8747 a composite number?
False
Is 2041 prime?
False
Is 1038383 a prime number?
True
Is 3977 a prime number?
False
Is 18741 a prime number?
False
Is 1138183 a composite number?
False
Is 116621 composite?
True
Is 218941 a prime number?
True
Is 3389 prime?
True
Is 132819 a composite number?
True
Is 6991 composite?
False
Is 5749 prime?
True
Is 160891 composite?
True
Is 422 a prime number?
False
Is 309305 a composite number?
True
Is 356467 a composite number?
False
Is 105353 composite?
True
Is 2985107 a composite number?
False
Is 167557 prime?
False
Is 11383 composite?
False
Is 685011 composite?
True
Is 8467 a composite number?
False
Is 49711 a prime number?
True
Is 5261 a composite number?
False
Is 569605 a prime number?
False
Is 11659 composite?
True
Is 23789 composite?
False
Is 254719 prime?
False
Is 10207 composite?
True
Is 1478 prime?
False
Is 31883 prime?
True
Is 479 a composite number?
False
Is 3065 a composite number?
True
Is 135367 a composite number?
False
Is 471739 a prime number?
False
Is 1349435 prime?
False
Is 60823 composite?
True
Is 4871 prime?
True
Is 27257 a prime number?
False
Is 13147 prime?
True
Is 279203 a composite number?
False
Is 35681 composite?
True
Is 4752235 prime?
False
Is 1259 a composite number?
False
Is 111893 a prime number?
True
Is 2376047 a composite number?
False
Is 77107 a composite number?
True
Is 29399 a composite number?
False
Is 27155 a prime number?
False
Is 94071 a composite number?
True
Is 1632886 prime?
False
Is 5321 composite?
True
Is 356441 a prime number?
True
Is 818589 prime?
False
Is 16127 prime?
True
Is 10289 composite?
False
Is 4861 composite?
False
Is 3833 a composite number?
False
Is 1714369 prime?
True
Is 8287 a prime number?
True
Is 263567 a composite number?
False
Is 838 prime?
False
Is 8819 prime?
True
Is 6117 a composite number?
True
Is 743293 a prime number?
False
Is 1508743 prime?
True
Is 3793 a prime number?
True
Is 1529499 a prime number?
False
Is 2604107 prime?
False
Is 19793 a prime number?
True
Is 50891 prime?
True
Is 101677 prime?
False
Is 459023 prime?
True
Is 462905 a composite number?
True
Is 34115 a composite number?
True
Is 56983 a prime number?
True
Is 553667 a composite number?
False
Is 469051 a composite number?
True
Is 480499 prime?
True
Is 62151 prime?
False
Is 482741 prime?
False
Is 81331 a composite number?
False
Is 26671 composite?
True
Is 51253 composite?
True
Is 1669861 a prime number?
True
Is 3371 composite?
False
Is 45281 a composite number?
False
Is 75289 a composite number?
False
Is 4099 a prime number?
True
Is 15131 composite?
False
Is 14177 a prime number?
True
Is 3223 prime?
False
Is 94253 composite?
False
Is 5569 composite?
False
Is 1399 prime?
True
Is 26933 a composite number?
True
Is 976555 a prime number?
False
Is 1437391 prime?
True
Is 69631 a prime number?
False
Is 150287 a composite number?
False
Is 8026 a composite number?
True
Is 242089 a composite number?
True
Is 34211 a prime number?
True
Is 235271 prime?
False
Is 129167 a prime number?
False
Is 158963 composite?
True
Is 82081 prime?
False
Is 139823 a composite number?
True
Is 2519 a prime number?
False
Is 89753 a composite number?
False
Is 133847 a composite number?
True
Is 37399 a prime number?
False
Is 510449 prime?
True
Is 39187 composite?
True
Is 9827 a prime number?
False
Is 1512161 a composite number?
True
Is 51269 composite?
True
Is 70403 prime?
False
Is 19151 composite?
True
Is 60785 prime?
False
Is 3621023 a composite number?
True
Is 62977 a prime number?
False
Is 186639 composite?
True
Is 697303 a composite number?
False
Is 8941 composite?
False
Is 502 a prime number?
False
Is 325761 a composite number?
True
Is 25709 prime?
False
Is 19373 composite?
False
Is 10207 a composite number?
True
Is 47681 a composite number?
False
Is 42979 a prime number?
True
Is 6737 composite?
False
Is 58711 a composite number?
False
Is 1242739 a prime number?
True
Is 24713 a prime number?
False
Is 2604857 a composite number?
False
Is 13463 a composite number?
False
Is 705631 composite?
False
Is 208037 composite?
False
Is 1319 a composite number?
False
Is 245165 composite?
True
Is 38217 a composite number?
True
Is 22229 prime?
True
Is 1927319 prime?
True
Is 34883 a composite number?
False
Is 42923 a composite number?
False
Is 1011797 a composite number?
False
Is 6119 prime?
False
Is 19997 prime?
True
Is 371 a prime number?
False
Is 532007 a composite number?
True
Is 4201 prime?
True
Is 73979 a prime number?
False
Is 95327 prime?
True
Is 116114 composite?
True
Is 337627 a prime number?
True
Is 863231 composite?
False
Is 253371 a prime number?
False
Is 1477799 a composite number?
True
Is 2203 a composite number?
False
Is 10487 a composite number?
False
Is 49871 prime?
True
Is 147701 a composite number?
True
Is 22669 prime?
True
Is 8563 composite?
False
Is 603545 a composite number?
True
Is 35591 composite?
False
Is 458 composite?
True
Is 1082 a prime number?
False
Is 30161 prime?
True
Is 11107 composite?
True
Is 533617 a composite n
|
{
"pile_set_name": "DM Mathematics"
}
|
-4 + 1.
-34097 - 2016*sqrt(19)
Simplify 4*(0 + (-6*-5*(-2 + sqrt(475)) - ((sqrt(475) + sqrt(475)*1*-5 - sqrt(475)) + 4))**2)*3.
-268800*sqrt(19) + 7031652
Simplify (4*(3 + sqrt(72)))**2 + -1 - (-2*sqrt(12)*-5)/(sqrt(216)*-1).
1733*sqrt(2)/3 + 1295
Simplify -5*(4*(sqrt(891) + 0 - sqrt(891))*2 + 1 - ((sqrt(891) + 0)*3 + -2*(sqrt(891) + sqrt(891)*-3)))**2.
-218300 + 630*sqrt(11)
Simplify (5*5*(-5 + sqrt(1539) + sqrt(1539)*-1 + sqrt(1539)))**2 + (1*2*1*(sqrt(1539) - (-2 + sqrt(1539))))**2 + 5.
-56250*sqrt(19) + 977521
Simplify 5 + -5*((sqrt(85)*-2*-3 - sqrt(85)) + sqrt(85))/(sqrt(50)/(sqrt(10)*-4)) + 5.
10 + 120*sqrt(17)
Simplify (1 + -5 + ((sqrt(78)/sqrt(2) + sqrt(39))/sqrt(3) + sqrt(78)/(sqrt(30)/sqrt(5)) - (sqrt(1872) - (sqrt(1872)*2)**2*5)*-4))*1.
-149764 + 51*sqrt(13)
Simplify (-1*(sqrt(171) - -1*sqrt(171)) + -4*-1*sqrt(171))/((sqrt(9) + sqrt(225))*6*-6).
-sqrt(19)/108
Simplify (-1*1*sqrt(171)*-1*6*-6)/(3*sqrt(81)*-1 + (sqrt(99) + -1*(-2*sqrt(99) - sqrt(99)))/sqrt(11)).
36*sqrt(19)/5
Simplify (-3*sqrt(84)/(sqrt(7)*-5))/(sqrt(18)/(sqrt(21)/(sqrt(7) - sqrt(63)))).
-3*sqrt(2)/10
Simplify 4*(((5 + (-2 + (sqrt(700) - (sqrt(700) + (sqrt(700) - (sqrt(700) + 1)))) + sqrt(700) - (0 + sqrt(700))*4))*3*-3)**2 + -1).
-77760*sqrt(7) + 2046380
Simplify (3 + (3 + (1 + sqrt(1700)*-1 - sqrt(1700)) - ((sqrt(1700) - (sqrt(1700) + -4 + sqrt(1700) + sqrt(1700)*-1)) + -4)) + -4)**2.
-120*sqrt(17) + 6809
Simplify -4 + (0 + -4*sqrt(288)*-2 - (sqrt(288)*2 + -1)*-1)**2 + 1.
-240*sqrt(2) + 28798
Simplify -4*((sqrt(306)*-2*3)/(3*sqrt(14)/sqrt(28)) + 3).
-12 + 48*sqrt(17)
Simplify (sqrt(204)*2*-1)/(sqrt(48) + sqrt(144)/sqrt(3)) - (-5 + (sqrt(17) - ((sqrt(68)/sqrt(4) - sqrt(17)) + 0) - 4*sqrt(34)/sqrt(2)))**2.
-178 - 61*sqrt(17)/2
Simplify 5 + 1*((1*1*sqrt(242)*1)**2 - 1*(sqrt(242) - (0 + sqrt(242)*-2))**2).
-1931
Simplify -4*((1*sqrt(1573) + 1 + (sqrt(1573) - (sqrt(1573)*2 + -4)))**2 + 1*5*(sqrt(1573) + 1)**2).
-31580 - 440*sqrt(13)
Simplify (sqrt(25) - 4*-4*sqrt(25) - (sqrt(225) + 2*sqrt(225))/sqrt(9))/(sqrt(405)/(sqrt(450)/sqrt(2))) + -1.
-1 + 70*sqrt(5)/3
Simplify -5 + -4*((-2*sqrt(75) + 5)**2 + (sqrt(75) + 0)**2*3 + sqrt(75) + 0 + (sqrt(75) + 0 + 4)**2).
-2569 + 220*sqrt(3)
Simplify 3*(sqrt(304) + sqrt(304) + 1 + -2)*-6 + -3*(-1 + 3*(1 + sqrt(2736))**2).
-24612 - 360*sqrt(19)
Simplify -3 + -4*(3 + sqrt(147)*-1)**2 + 3 + -1*(3*(sqrt(147) + -1)**2 + sqrt(147))*5.
-2844 + 343*sqrt(3)
Simplify (-4*(2*(0 + sqrt(162) - sqrt(162) - sqrt(162)) + 1) - (-1 + 2 + sqrt(162) - 2*sqrt(162)*1))**2.
-810*sqrt(2) + 13147
Simplify (6*((sqrt(30)/sqrt(6) - sqrt(5))*-6*5 - ((sqrt(500) - (0 + sqrt(500)))*6 - sqrt(500))) + -1)**2.
-120*sqrt(5) + 18001
Simplify sqrt(30)/(sqrt(40) + sqrt(160)/sqrt(4) - sqrt(10)) - (3*(sqrt(108) - -1*sqrt(108)))**2 - -1*(sqrt(48) + 0 + (3*sqrt(3) + 3)**2).
-3852 + 67*sqrt(3)/3
Simplify ((-2*(sqrt(1960) + (sqrt(1960) + 3*(sqrt(1960) + -5*sqrt(1960)) + sqrt(1960) - sqrt(1960))))/(sqrt(8)*-1*6 - (sqrt(1152)*-3 - sqrt(1152))))**2.
500/9
Simplify (sqrt(154)/(sqrt(175) - sqrt(7)) + sqrt(22) + 2*sqrt(22)*-4)/((-5*sqrt(352)*-2)/sqrt(8)).
-27*sqrt(2)/80
Simplify (sqrt(28)/(sqrt(2)*-1) - sqrt(14) - (sqrt(14) + -1*sqrt(14)*-1))/(-6*3*sqrt(2)*-3) + 0.
-2*sqrt(7)/27
Simplify 3*(-1*(((sqrt(210) - sqrt(210)*-2) + sqrt(210))/sqrt(6))/((sqrt(35)*1)/sqrt(5)))**2*5.
1200
Simplify (sqrt(38)*-4*3 - sqrt(38))/(-6*4*sqrt(2)) + 5 + (-2*(2 + sqrt(76) + 4))**2.
2317*sqrt(19)/24 + 453
Simplify (((sqrt(120)/(-1*sqrt(12)))/sqrt(5)*-6)**2 - 2*(-1 + (sqrt(200) + -1)**2)) + 4.
-324 + 40*sqrt(2)
Simplify sqrt(768) + -3 + sqrt(768)*-2 + (sqrt(144)/(-2*sqrt(3) - sqrt(3)) - sqrt(240)/sqrt(5)*-5)**2.
-16*sqrt(3) + 3127/3
Simplify -2*-6*(3 + (6*(0 + sqrt(1053) + -3 + 0))**2)*2.
-46656*sqrt(13) + 917640
Simplify (sqrt(190)*2*-1 - 5*(sqrt(190) - sqrt(190)*1))/((-3*(sqrt(360) + -1*sqrt(360)) - sqrt(360))*6).
sqrt(19)/18
Simplify 1 + ((4 + sqrt(171)*1 + sqrt(171) + -2)**2 + -5*(0 + sqrt(171) + sqrt(171))*-3)*-6.
-4127 - 684*sqrt(19)
Simplify (-5*(sqrt(57) + sqrt(456)/(-2*sqrt(8)) - sqrt(228)/(sqrt(16)/sqrt(4))))/(6*5*sqrt(147)*-2).
-sqrt(19)/168
Simplify 1*((-3*(1*(sqrt(171) + sqrt(171)*2 - sqrt(171)) + sqrt(171) + -2*sqrt(171)*3))/((sqrt(99) + 5*sqrt(99)*1 - sqrt(99) - sqrt(99))/(sqrt(275)*1)))**2.
38475/16
Simplify (-1 + (-2*sqrt(256))/(sqrt(72) - (-1*sqrt(72) - sqrt(72))))*-4.
4 + 32*sqrt(2)/9
Simplify ((((sqrt(567)*-2 + -3)*-3 - 5*(0 + sqrt(567))*6) + 1)*6)**2.
-155520*sqrt(7) + 11760912
Simplify (-3*1*(sqrt(160) + sqrt(160)*3*-2 + sqrt(160) + sqrt(160) - sqrt(160))/(((sqrt(480)*1)/sqrt(12))/sqrt(5)))**2.
2880
Simplify 0 + ((2*(0 + sqrt(448) + sqrt(448)) - (1 + sqrt(448) + -3)) + 0 - (-1 + 2 + (1*sqrt(448) + sqrt(448) - sqrt(448)) + -5))**2.
192*sqrt(7) + 1828
Simplify sqrt(6)/sqrt(3) + -4 + (sqrt(242) - (sqrt(242) + sqrt(242) + 2*sqrt(242))) + 0 + (sqrt(800)/sqrt(4) - -4*3*sqrt(2)).
-10*sqrt(2) - 4
Simplify ((sqrt(242) + (-4 + (sqrt(242) - (1 + sqrt(242))) - sqrt(242) - sqrt(242)) + -4 + sqrt(242) + -2 + sqrt(242))*3*-3*-5)**2.
-490050*sqrt(2) + 735075
Simplify (5 + (sqrt(153)*1*6 + (sqrt(153) - (sqrt(153) + (sqrt(153)*1 - sqrt(153) - sqrt(153))*-4)))/(3*sqrt(900)*-2 - sqrt(900)))**2.
-2*sqrt(17)/7 + 30642/1225
Simplify -5*(-1 + (5*(sqrt(605) + 0))**2 + (sqrt(605) + sqrt(605) + ((sqrt(605)*5 + sqrt(605) - sqrt(605)) + sqrt(605))*-4)**2).
-1539720
Simplify ((sqrt(20) - (sqrt(720) + sqrt(720)*1)) + sqrt(20) + sqrt(100)/(sqrt(5) - sqrt(80)))/((sqrt(110) + 2*-1*sqrt(110))/(-1*sqrt(1331))).
-341*sqrt(2)/3
Simplify ((4*sqrt(45)/sqrt(3)*5)/(-5*sqrt(80)*-3) + -4)**2.
-8*sqrt(3)/3 + 49/3
Simplify ((sqrt(162) - (sqrt(162) + 1))*1 + 4)**2 - ((sqrt(490) + sqrt(490)*1)/(sqrt(320)*1 - sqrt(5)) + 3)**2.
-12*sqrt(2) - 8
Simplify ((sqrt(300) + 0 + sqrt(300) - sqrt(300)) + 4)**2 + 0 + (sqrt(300)*3*-5)**2 + -1*sqrt(300)*5.
30*sqrt(3) + 67816
Simplify (-5*3*sqrt(180) - (sqrt(180)*1 + sqrt(180))*-4)*-2*1*2 + -5.
-5 + 168*sqrt(5)
Simplify (sqrt(240)/sqrt(80) + (sqrt(48) - (-1 + sqrt(48))*5))**2 - ((sqrt(2904)*4 + sqrt(2904))/(sqrt(8)*2*-1))**2.
-6275/4 - 150*sqrt(3)
Simplify (-5*((sqrt(252) - -3*sqrt(252)) + sqrt(252))*-4)/(-6*(3*sqrt(100) - sqrt(4))*-5).
5*sqrt(7)/7
Simplify 6*(3 + (-2*sqrt(405)*-4 - sqrt(405) - (sqrt(405) - (sqrt(405) + 1 + sqrt(405) + 0))**2)) + 1 + -2.
-2419 + 270*sqrt(5)
Simplify ((sqrt(5184) - sqrt(5184)*-1) + sqrt(1764)*-6)/(4*(sqrt(108)*2 + sqrt(108)) - -6*sqrt(108)*-1) + 2.
-sqrt(3) + 2
Simplify 2 + ((6*(sqrt(200) + 3*sqrt(200)*1))**2 - (-1 + -2 + (sqrt(200) - (sqrt(200) - sqrt(200)*-1))**2 + sqrt(200))).
-10*sqrt(2) + 115005
Simplify (sqrt(7) + -4)**2*-5 + (sqrt(84)*4)/sqrt(12) + -2*-5*sqrt(28)*-2.
-115 + 4*sqrt(7)
Simplify ((5 + sqrt(363) + 0 + 3 - (2 + sqrt(324)/sqrt(12)*4))*4)**2*-3.
-1872 + 576*sqrt(3)
Simplify (2*(sqrt(3520) + sqrt(3520)*6))/(sqrt(30)/(sqrt(600)*-4))*1.
-4480*sqrt(11)
Simplify ((sqrt(275) + 2 + -2 + -4 + 5 + (sqrt(275) - (-5 + sqrt(275)*1)))*5)**2.
1500*sqrt(11) + 7775
Simplify (-1 + (sqrt(75) - sqrt(75)*-3)**2 + 4 - -1*(0 + sqrt(75) + -5))*-2 + -1.
-2397 - 10*sqrt(3)
Simplify (2*(((-4 + -3*sqrt(243) - sqrt(243)) + sqrt(243))*-4 + -3 + 4 + (sqrt(243) - (-3 + sqrt(243)))))**2.
17280*sqrt(3) + 141568
Simplify 6*((5 + sqrt(117) + sqrt(13) - (2 + sqrt(208))**2) + ((sqrt(13) - sqrt(117)) + -4)*-1)*-1.
60*sqrt(13) + 1218
Simplify (6*(sqrt(143) - (-2*sqrt(143) - sqrt(143))) - (sqrt(143) - -1*sqrt(143)*-1))/((sqrt(396)/sqrt(36))/(sqrt(28)/(sqrt(7) - sqrt(63)))).
-24*sqrt(13)
Simplify -6*(-5 + sqrt(24)/(sqrt(36)/sqrt(3)) - sqrt(22)/(sqrt(33)/sqrt(3)*2 + sqrt(11)) - ((-2 + (sqrt(200) - 1*sqrt(200) - (sqrt(2)*1 - sqrt(2))*-5))*-6)**2).
-4*sqrt(2) + 894
Simplify -1 + sqrt(300) + (sqrt(300) - (sqrt(300) - (3 + sqrt(300)))**2*1) + sqrt(300) - ((sqrt(300) + 0)*-2 + -5 + 0 + sqrt(300)).
-5 + 40*sqrt(3)
Simplify ((sqrt(85)*-5*4 - (sqrt(85) + sqrt(85) + sqrt(85)*-3*-6))/((sqrt(400)/sqrt(8))/sqrt(10) - -5*sqrt(10)/sqrt(2)))**2.
6800/9
Simplify (((sqrt(76) - sqrt(76)*4)/sqrt(4) - (sqrt(19)*-1 + -4)) + -1 - (((sqrt(133)*-1 - sqrt(133)) + sqrt(133) - sqrt(133))*5)/(1*-2*sqrt(7)))**2.
-42*sqrt(19) + 940
Simplify (1*sqrt(119)*-2 - 6*-3*sqrt(119))/(-6*(sqrt(700) + sqrt(700)*1)*-1).
2*sqrt(17)/15
Simplify (-3*sqrt(192)/sqrt(8) + sqrt(264)/(sqrt(77)/sqrt(7)))/(1*(sqrt(1728) - (sqrt(1728) -
|
{
"pile_set_name": "DM Mathematics"
}
|
3.
0.0120049506
-29 times 6.4425
-186.8325
What is the product of -1741 and 21?
-36561
Work out -46.96 * 792.9.
-37234.584
Multiply -0.1 and -0.242230003.
0.0242230003
What is 788 times 11217?
8838996
-0.4*-69426147
27770458.8
Calculate -6902855*-4.
27611420
129867.9 * -1.2
-155841.48
4 * -46492055
-185968220
Multiply 4828.3 and 560.
2703848
Product of -193257 and 28.4.
-5488498.8
0 times -12124792
0
2252.04 * -10.1
-22745.604
Product of 95034099 and 4.
380136396
-48.0702047 times 3
-144.2106141
What is 587.59 times -3885?
-2282787.15
What is the product of 48 and 1369261?
65724528
Work out -0.21 * 0.0656424.
-0.013784904
Product of -0.3 and -0.06362417.
0.019087251
5146315 times -1
-5146315
Work out -59 * -1.43399.
84.60541
Work out 22.94421 * 1.
22.94421
-1.80604 times 0.4
-0.722416
Work out -189.13 * -5443.
1029434.59
1744406 times -18
-31399308
Calculate 200.4*9.595.
1922.838
-1.6461304*-3
4.9383912
0.4*9.038459
3.6153836
-0.14702*-0.0442
0.006498284
-27127*19.619
-532204.613
-23 * -5.5655
128.0065
Multiply 19.34 and 20.43.
395.1162
Work out -38.45 * -1.
38.45
Multiply -19058477.2 and 0.
0
What is the product of -0.02 and -36077003?
721540.06
6080.184 * 2
12160.368
What is 0.8 times -0.014101486?
-0.0112811888
0.1 * -5279262
-527926.2
-8.047*-452
3637.244
Work out 4.96 * -0.10953.
-0.5432688
5 times 4704416
23522080
What is the product of -1468 and -5523.1?
8107910.8
What is the product of -98.5 and -66.417?
6542.0745
Product of 82161610 and 5.
410808050
Calculate -279277803*0.5.
-139638901.5
Product of -0.04 and 13.796148.
-0.55184592
-19314 times -5
96570
Product of -12.905409 and 3.
-38.716227
What is the product of 1 and -1.401768?
-1.401768
889208.1 times 5
4446040.5
22243.6 * 5
111218
-27305043 times 0.1
-2730504.3
Calculate 0.3*330671.
99201.3
Calculate 31*2457173.
76172363
What is the product of 20205 and 54?
1091070
73 times 0.69722
50.89706
Multiply -0.022782 and -2429.
55.337478
Product of -149802 and -1069.
160138338
Calculate -20.09232517*1.
-20.09232517
11295825.59 * 0.5
5647912.795
Multiply -18421 and -1.15.
21184.15
Work out -10058.3 * -0.01545.
155.400735
What is the product of -0.128 and -208679?
26710.912
What is -1178.6865 times 3?
-3536.0595
Multiply -51 and -1.1204.
57.1404
-22 * 186890
-4111580
What is the product of -130 and 54667?
-7106710
Work out 4262059 * -182.
-775694738
What is the product of -8 and -0.120099325?
0.9607946
-0.6608838 * 3
-1.9826514
Multiply -1403489 and 1014.
-1423137846
What is the product of -10.46 and 131?
-1370.26
4 * 10346516
41386064
Product of -424552 and 9.31.
-3952579.12
Multiply -51 and -89497.84.
4564389.84
Product of -0.063 and 0.323913.
-0.020406519
Multiply 0.106 and 193299.
20489.694
Calculate 0.12794*-11423.
-1461.45862
What is the product of 7975 and -24.84?
-198099
Product of -28 and 15225712.
-426319936
0.2 * 1238902
247780.4
Product of -9959620 and -18.
179273160
Calculate 0.4*-6.60984.
-2.643936
-0.01*29976.266
-299.76266
Product of -12.35038253 and 0.1.
-1.235038253
What is the product of 9.7585 and 0.8?
7.8068
1.160418 * 2
2.320836
Multiply 12845 and 27.15.
348741.75
What is 107 times -30356?
-3248092
Multiply 0.4 and 1406.9805.
562.7922
Multiply 0.183070436 and 0.01.
0.00183070436
What is the product of 7681 and -2009?
-15431129
0.1 times -5117079
-511707.9
Calculate -402.74*0.81.
-326.2194
What is 9438 times 44789?
422718582
25987 times 0.0456
1185.0072
Product of -7080686 and 6.
-42484116
-31.176 times -14
436.464
-1731 times 21.52
-37251.12
Work out 57219327 * -0.1.
-5721932.7
133623.67*-2
-267247.34
Multiply 4 and -10158.1.
-40632.4
Calculate 0.01*-4.72461.
-0.0472461
Work out -337.1 * 1.439.
-485.0869
65.046355 times 3
195.139065
Calculate -395.63*-0.29011.
114.7762193
0.5 * -0.0334139
-0.01670695
-139484188 times 1
-139484188
-0.0718*17185
-1233.883
What is the product of -58 and -273.49?
15862.42
Calculate 0.4*71462.88.
28585.152
Work out -372555 * -419.
156100545
What is the product of 442792 and -23.7?
-10494170.4
Work out -29876 * -864.
25812864
27*37.67146
1017.12942
4*1892633
7570532
Multiply 5 and -9817.42.
-49087.1
Multiply -7 and -142.829.
999.803
Multiply 0.038 and 154201.
5859.638
Calculate -424152*5.
-2120760
Multiply -1192744 and 23.
-27433112
-0.31*-8654447
2682878.57
What is the product of 53821067 and 3?
161463201
Calculate -33303*-1.899.
63242.397
Multiply 0.15747 and -476.4.
-75.018708
Calculate 2*238146.4.
476292.8
Product of 0.2 and -1165.6547.
-233.13094
Product of -12 and -0.0705567.
0.8466804
Product of 4959573 and 47.
233099931
Work out 637.3 * 179.98.
114701.254
Calculate -0.3*59034347.
-17710304.1
What is 814701 times -301?
-245225001
What is the product of -2 and 977.005?
-1954.01
-33637 times -8970
301723890
What is the product of 86523 and 36?
3114828
0.5 times -6942971
-3471485.5
Work out -3 * 0.4391123.
-1.3173369
550 * -1187.3
-653015
What is -0.093 times -92.547?
8.606871
Calculate 60744*16269.
988244136
Calculate -3.6*380.2621.
-1368.94356
Work out -7699.53 * -41.
315680.73
What is -0.3375 times -76?
25.65
52008856*0.1
5200885.6
Product of -9 and 369455.
-3325095
What is the product of -2 and 7655880?
-15311760
What is the product of 59.94 and 25206?
1510847.64
What is -0.1 times -54.91969?
5.491969
27 * 18169
490563
Multiply -0.4 and 34513712.
-13805484.8
What is the product of 7 and -1304.15619?
-9129.09333
Calculate 912064*-37.1.
-33837574.4
Calculate 681238*65.
44280470
What is -191041 times 10?
-1910410
349887 * 0.07
24492.09
What is -0.0616727 times 41?
-2.5285807
0.1 * -1295832
-129583.2
Work out -4075.77 * -2.3.
9374.271
What is the product of -893.803 and 6?
-5362.818
Multiply -11.6502552 and -2.
23.3005104
Calculate -0.039908605*13.
-0.518811865
Calculate 3.5*-1194175.
-4179612.5
Product of -6 and -442.658.
2655.948
Calculate -1417846*-0.112.
158798.752
Calculate -17*1.68002.
-28.56034
Work out 0.0664 * 1575.24.
104.595936
121536948.9*-5
-607684744.5
What is the product of -32140 and 76.1?
-2445854
Work out 0.0075182 * 2.
0.0150364
-8887 times -8.94
79449.78
What is the product of 33215.4 and -11?
-365369.4
What is 2 times 0.43195915?
0.8639183
Product of -6738071 and -0.3.
2021421.3
What is the product of 399.671 and 1.19?
475.60849
What is -0.03 times 99173917?
-2975217.51
Work out -0.0269 * -4.5589.
0.12263441
Calculate 26.7*0.11183.
2.985861
What is the product of 15 and 779055?
11685825
-0.74*-746473
552390.02
What is the product of -35808528 and 0.5?
-17904264
Product of -22154 and 1.78.
-39434.12
What is the product of 2 and 20508009?
41016018
0.3 times -557.7938
-167.33814
-36689 * 3125.3
-114664131.7
-209 times -232957
48688013
Work out 0.18 * -347.53.
-62.5554
Calculate -4199*2802.5.
-11767697.5
Multiply 16483708 and 3.
49451124
Work out 8062 * -136.
-1096432
Work out 0.4 * -0.477932.
-0.1911728
Calculate 7*-243627257.
-1705390799
20 * 503572
10071440
What is the product of -3130695 and -0.014?
43829.73
What is the product of -4447.6965 and 3?
-13343.0895
Product of -0.1 and 36027346.
-3602734.6
Multiply 7478.9432 and 5.
37394.716
-10 * 59220361
-592203610
Product of 0.1245 and 5.013.
0.6241185
Product of 336.4893 and 41.
13796.0613
-2703356 times 0.11
-297369.16
Work out 469 * 0.27452.
128.74988
-0.3 * -251.4422
75.43266
1.218 times 12522.7
15252.6486
0.2*-3271062
-654212.4
What is the product of 422.584 and -0.02?
-8.45168
48859*-0.0923
-4509.6857
-0.03*-29554551
886636.53
Calculate -0.294*-3507.48.
1031.19912
0.03 * -73.9286
-2.217858
Product of 1.6 and -52665.
-84264
What is the product of 7279035 and -25?
-181975875
Product of -626 and 246595.
-154368470
266726*25
6668150
Product of -1 and 8712438.
-8712438
Product of -528 and 0.8625.
-455.4
What is -303653 times -22.2?
6741096.6
Product of 11285 and 8569.
96701165
Product of -7.656133 and 3.3.
-25.2652389
Calculate -14878835*-0.4.
5951534
0.096 times -372.1
-35.7216
Multiply 7972285 and -63.
-502253955
313 times 24702.41
7731854.33
What is -70257402 times -0.2?
14051480.4
Work out -2 * -380926761.
761853522
Product of 0.5 and 11980010.
5990005
-70 times -12620204
883414280
What is the product of -3016490 and -0.12?
361978.8
What is the product of 5 and 85589348?
427946740
Work out 8.4795 * 248.
2102.916
Multiply 151 and -9393.
-1418343
98 * -320415
-
|
{
"pile_set_name": "DM Mathematics"
}
|
(z) = -8*z**2 + 2*z + 2. Let g(n) = -9*n**2 + 3*n + 3. Let b(x) = -2*g(x) + 3*l(x). Let k = -3 + 5. Let j(i) = -k*i - i + 2*i. What is b(j(w))?
-6*w**2
Let n(f) = -1476*f**2 - f + 4. Let j(a) = -6*a**2. Calculate n(j(w)).
-53136*w**4 + 6*w**2 + 4
Let j(f) = -268*f**2 - 28*f - 28. Let u(d) = -48*d**2 - 5*d - 5. Let l(r) = -5*j(r) + 28*u(r). Let m(q) = -205*q**2. Calculate l(m(x)).
-168100*x**4
Let d(g) = g**2 - 3*g**2 + 4*g**2. Let b = -21 + 25. Let i(q) = q + q - b*q. Give i(d(o)).
-4*o**2
Let j(c) = -8*c**2 - 6*c. Let r = 24 - 11. Let l(g) = 17*g**2 + 13*g. Let y(i) = r*j(i) + 6*l(i). Let n(d) = 156*d - 156*d + d**2. What is n(y(s))?
4*s**4
Let j(v) = 9*v. Let o(u) = -35*u**2 + 23*u - 2. What is j(o(w))?
-315*w**2 + 207*w - 18
Let o(v) = -186*v**2 + 2*v. Let y(q) = 2036*q. Give y(o(u)).
-378696*u**2 + 4072*u
Let z(n) = 26881*n. Let s(y) = 2*y**2. Calculate s(z(h)).
1445176322*h**2
Let o(t) = -2*t. Let q(b) = -725394*b. Give o(q(g)).
1450788*g
Let k(p) = -290763 + 290763 + p. Let u(f) = 199*f. Determine k(u(b)).
199*b
Let x(d) be the second derivative of d**4/12 + 4*d. Let f be (-16)/(-32) + (-1)/(-2). Let s(k) = 4 - k - 3 - f. What is x(s(r))?
r**2
Let p(r) = 138*r + 84*r - 363*r. Let j(o) = o. What is p(j(l))?
-141*l
Let g = 4 + -1. Let c(i) = -4 - g*i + 4. Let b(p) = 5*p - p + 2*p - 4*p - 3*p. Calculate c(b(z)).
3*z
Let z(n) = -n**2 + 10*n + 4. Let w be z(8). Suppose 0 = 4*f + f - w. Let h(b) = f*b - 283 + 283. Let k(r) = -r. Calculate h(k(g)).
-4*g
Let w(k) = -2*k**2 + 6*k. Let q(c) = 17*c - 3*c - 17*c. Determine w(q(u)).
-18*u**2 - 18*u
Let h(t) = -t**2. Let q(j) = 245*j**2 - 2*j - 1. Calculate q(h(n)).
245*n**4 + 2*n**2 - 1
Let v(d) = 5*d. Let y(t) = -t. Let h(p) = p. Let a(j) = 4*j. Let l(w) = 3*a(w) - 16*h(w). Let c(f) = -l(f) + 5*y(f). Determine v(c(k)).
-5*k
Let l(p) = -12*p**2 + 4. Let j(o) = 34*o**2 - 11. Let y(g) = -4*j(g) - 11*l(g). Let x(q) = 0*q + 13*q + q. Give x(y(f)).
-56*f**2
Let v(k) = 7*k + 4. Let a(j) = 418*j + 242. Let w(g) = -2*a(g) + 121*v(g). Let d(y) = -8*y. What is w(d(t))?
-88*t
Let j(y) = y + 4 - 6 + 4 + 4. Let d(n) = -2*n. Give j(d(u)).
-2*u + 6
Let d(x) = -8629*x + 6. Let c(u) = u + 12. Determine c(d(q)).
-8629*q + 18
Let y(r) = -r**2 - 29. Let c(i) = -33*i. What is c(y(f))?
33*f**2 + 957
Let d(c) = 21*c - 6. Let v(h) = 2. Let i(a) = -273*a + 71. Let u(j) = i(j) + 3*v(j). Let n(s) = -77*d(s) - 6*u(s). Let r(q) = 2*q. Determine n(r(k)).
42*k
Let a(u) = 699*u**2. Let h(l) = 194*l. Determine h(a(d)).
135606*d**2
Let p(x) = 13*x. Let a(c) = 19138*c**2. Determine p(a(i)).
248794*i**2
Let i(c) = 11*c**2. Let d(b) be the second derivative of -b**5/40 + 10*b**3/3 - 2*b. Let f(j) be the second derivative of d(j). What is f(i(r))?
-33*r**2
Let g(s) = s**2. Let m(o) = 448*o + 5. Let j(p) = 70336*p + 784. Let a(h) = 5*j(h) - 784*m(h). Give a(g(k)).
448*k**2
Let m(s) = 162*s - 471*s + 170*s + 181*s. Let u(z) = 7*z**2. Calculate u(m(v)).
12348*v**2
Let x(s) = 25998*s**2. Let c(r) = r**2. What is c(x(w))?
675896004*w**4
Let a(l) = 9*l. Let t(q) = -616*q**2 + 3*q. What is a(t(z))?
-5544*z**2 + 27*z
Let v(a) = -5348*a - 2. Let d(k) = 5*k. Calculate v(d(t)).
-26740*t - 2
Let s(n) be the second derivative of 8/3*n**3 + 0 + 25*n + 0*n**2. Let m(f) = 3*f. Calculate m(s(z)).
48*z
Let d(u) = 110*u + 35. Let m(p) = 111*p + 28. Let c(n) = -4*d(n) + 5*m(n). Let k(x) = 4*x. What is k(c(w))?
460*w
Let j(i) be the first derivative of 1/3*i**3 + 0*i**2 + 25 + 0*i. Let s(g) = -21*g + 1. What is s(j(b))?
-21*b**2 + 1
Let p(x) = 2*x**2. Let u(i) = -6723*i - 8. Give u(p(f)).
-13446*f**2 - 8
Let o(f) be the first derivative of -7*f**3/3 - 1. Let g(s) = 32*s - 12. Let t(z) = -7*z + 4. Let n(b) = -g(b) - 3*t(b). Calculate n(o(p)).
77*p**2
Let i(o) = o**2 + 2. Let t(y) = -8*y**2 - 20. Let u(n) = 20*i(n) + 2*t(n). Let l(m) = -139*m. Determine l(u(x)).
-556*x**2
Let c(b) = 181*b - 119. Let z(j) = 3*j. Give c(z(v)).
543*v - 119
Let g(a) = -4*a. Let m(w) be the first derivative of -5*w**2/2 - 5. Let p(i) = 9*i. Suppose -k + 2*k = 3. Let b(j) = k*p(j) + 5*m(j). Give b(g(z)).
-8*z
Let s(y) be the second derivative of y**4/12 - y. Let g(d) be the second derivative of 7*d**3/3 + 6*d + 11. Determine s(g(b)).
196*b**2
Let x(k) = -54*k**2 + 104*k**2 - 51*k**2. Let t(f) = -431*f. Give x(t(g)).
-185761*g**2
Let r(p) = 1469*p**2 - p. Let j(c) = 5*c. Determine r(j(o)).
36725*o**2 - 5*o
Let c(p) = 11*p - 17. Let v(o) = -2*o + 3. Let h(b) = -6*c(b) - 34*v(b). Let q(j) = 2725*j**2 - 5435*j**2 + 2717*j**2. Determine q(h(m)).
28*m**2
Let v(f) = -1. Let y(c) = c**2 + 3. Let t(u) = -6*v(u) - 2*y(u). Let b(i) = 22*i**2 - 8*i**2 - 16*i**2. Calculate t(b(g)).
-8*g**4
Let p(b) = 9*b. Let l(k) = -48*k - 12. Calculate l(p(g)).
-432*g - 12
Let h(v) = 15*v**2. Let x(i) = i. Let z(k) = -15*k. Let w(j) = -3*x(j) + z(j). Give w(h(q)).
-270*q**2
Let b(o) = -16*o. Let d(u) = -3*u + 2. Let c(r) = -25*r + 17. Let l(h) = 6*c(h) - 51*d(h). Calculate l(b(w)).
-48*w
Let w(h) = 4*h. Suppose 2*j + 25 - 35 = 0. Let m(r) = -j + 7 - r - 2. Give w(m(l)).
-4*l
Let p(n) = 168*n - 64. Let w(d) = 7*d - 2. Let m(s) = -p(s) + 32*w(s). Let y(a) = -4*a. Give y(m(i)).
-224*i
Let n(x) = 5*x**2. Let t(c) be the third derivative of -29*c**5/20 + 786*c**2. Determine t(n(z)).
-2175*z**4
Let h(i) = i**2. Let s(x) = x - 4. Let r(d) = 67*d**2 + 3*d - 4. Let p(y) = -r(y) + s(y). Give p(h(t)).
-67*t**4 - 2*t**2
Let u(c) = c. Let a(y) = -38472*y**2 + 672*y + 448. Let s(o) = 855*o**2 - 15*o - 10. Let v(x) = -5*a(x) - 224*s(x). What is v(u(w))?
840*w**2
Let w(g) = 36*g - 2. Let m(d) = 129*d**2 + 4. Give m(w(h)).
167184*h**2 - 18576*h + 520
Let i(v) = -3*v. Let x(p) be the third derivative of 0 + 1/24*p**4 + 0*p**3 + 0*p + 11*p**2. Give i(x(k)).
-3*k
Let f(d) = -22*d - 1. Let z be f(-14). Let s(g) = -z - g**2 + 307. Let j(b) be the third derivative of b**4/12 - b**2. Calculate s(j(r)).
-4*r**2
Let w(v) = -7*v**2. Let u(j) = -5*j**2 + 430. Give u(w(n)).
-245*n**4 + 430
Let t(k) = 689*k**2 + k - 2. Let c(o) = 10*o**2. Give t(c(b)).
68900*b**4 + 10*b**2 - 2
Let v(b) = 50*b**2. Let d(h) = -3*h - 8. Determine d(v(y)).
-150*y**2 - 8
Let l(d) = -2 - d - 5*d + 2. Let u(a) = -1028*a - 1026*a + 2054*a - 2*a**2. What is l(u(b))?
12*b**2
Let z(a) = 10*a. Let v(d) be the second derivative of -16*d + 0*d**2 + 0 + 1/6*d**3. Give z(v(m)).
10*m
Let i(y) = 2*y**2. Let s(c) = 9*c + 11*c - 33*c - 562*c**2 + 13*c. What is i(s(t))?
631688*t**4
Let v(o) = 2*o**2 + 319. Let a(x) = -22*x. Give v(a(h)).
968*h**2 + 319
Let v(b) = 4*b**2. Let w(c) = 5447*c. Determine w(v(y)).
21788*y**2
Let d(t) = -18*t**2 - 9*t**2 + 5*t**2. Let x(r) = -129*r + 5. Let j(f) = 26*f - 1. Let y(u) = 5*j(u) + x(u). Calculate d(y(b)).
-22*b**2
Let a(i) = 516*i**2 + 7. Let z(l) = -283*l. Calculate z(a(h)).
-146028*h**2 - 1981
Let i(q) be the first derivative of 8*q**3/3 + 3. Let j(s) = 120*s - 56. Let m(p) = 13*p - 6. Let g(v) = 3*j(v) - 28*m(v). Calculate g(i(y)).
-32*y**2
Let y(v) = -152*v - 1. Let p(r) = 211*r. What is y(p(l))?
-32072*l - 1
Let r(f) be the first derivative of 0*f + 0*f**2 - 2 + 1/3*f**3. Let n(z) = -z**2 + 3*z. Let g(y) = -4*y**2 + 11*y. Let p(w) = 6*g(w) - 22*n(w). Give r(p(i)).
4*i**4
Let y(m) = -10*m. Let d(l) be the third derivative of l**7/1680 - l**5/12 - 7*l**2. Let a(r) be the third derivative of d(r). Give y(a(x)).
-30*x
Let a(m) be the second derivative of 5*m**3/3 - 20*m - 6. Let d(o) = -15*o**2. Determine d(a(l)).
-1500*l**2
Let u(m) = -6*m + 5. Let t(c) = 10 - 5*c + 0*c - 2*c - 4. Let d(l) = -5*t(l) + 6*u(l). Let n(i) = 6*i. Give d(n(b)).
-6*b
Let r(w) = 4*w. Let y(s) = 1 + 0 - 4*s + 1 - 7. Let q be y(-2). Let u(h) = -q*h**2 - 11*h**2 + 16*h**2. Give u(r(d)).
32*d**2
Let x(q) = -238*q. Let y(v) be the first derivative of v**3/3 + 372. What is y(x(s))?
56644*s**2
Let u(j) = -2*j. Let q(o) = -2*o**2 - 702. Give q(u(p)).
-8*p**2 - 702
Let g(m) = -37*m. Let u(a) = -4*a. Let j(r) = -2*g(r) + 18*u(r). Let b(k) = 117*k. What is b(j(v))?
234*v
Let u(n) be the first derivative of -4*n**2 - 20*n - 20. Let a(o) = o**2. Determine a(u(w)).
64*w**2 + 320*w + 400
Let f(b) = 8*b**2. Let x(z) = 100 - 102 - 2*z + 0*z**2 - 2*z**2. Let y(w) = -4*w**2 - 5*w - 5. Let q = -6 + 1. Let d(n) = q*x(n) + 2*y(n). Calculate d(f(j)).
128*j**4
Let g(z) be the se
|
{
"pile_set_name": "DM Mathematics"
}
|
icked without replacement from oouuauoauaouuu. What is prob of picking 3 o and 1 u?
4/143
Calculate prob of picking 1 c, 1 v, and 1 y when three letters picked without replacement from yzyxxdcv.
1/28
Two letters picked without replacement from zfjuw. Give prob of picking 1 z and 1 f.
1/10
Calculate prob of picking 1 s and 1 t when two letters picked without replacement from {t: 1, b: 3, s: 3, r: 1, u: 5}.
1/26
Calculate prob of picking 1 l and 1 b when two letters picked without replacement from {g: 1, d: 7, y: 1, i: 3, l: 3, b: 2}.
3/68
Calculate prob of picking 4 r when four letters picked without replacement from rgrrrrrrdrddrrr.
22/91
Two letters picked without replacement from {k: 2, s: 3, r: 1, b: 2, f: 4, w: 2}. Give prob of picking 1 f and 1 w.
8/91
Four letters picked without replacement from {x: 2, y: 17}. What is prob of picking 2 x and 2 y?
2/57
Calculate prob of picking 1 u, 1 h, and 2 n when four letters picked without replacement from ffnnfnhnhu.
2/35
Two letters picked without replacement from mdllddddlmlddmdd. Give prob of picking 2 d.
3/10
Two letters picked without replacement from {a: 9, e: 7}. Give prob of picking 1 e and 1 a.
21/40
Two letters picked without replacement from lqslbxff. What is prob of picking 1 f and 1 s?
1/14
Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {z: 3, x: 5, c: 1, f: 4, b: 1}.
1/91
Two letters picked without replacement from zazzzaazasa. Give prob of picking 2 z.
2/11
Calculate prob of picking 1 b, 1 c, and 1 f when three letters picked without replacement from {b: 3, f: 1, l: 1, c: 2, i: 3}.
1/20
Four letters picked without replacement from {z: 3, m: 4}. Give prob of picking 2 z and 2 m.
18/35
What is prob of picking 2 k and 1 l when three letters picked without replacement from poolnykyppkoykn?
3/455
Three letters picked without replacement from irrittstrtsy. Give prob of picking 1 y, 1 t, and 1 r.
3/55
What is prob of picking 1 d and 1 y when two letters picked without replacement from ydcdndcddcddccddcdd?
11/171
Four letters picked without replacement from {i: 7, c: 6, k: 3, p: 1}. What is prob of picking 4 c?
3/476
Four letters picked without replacement from {j: 6, i: 13}. What is prob of picking 4 i?
715/3876
What is prob of picking 2 o and 1 a when three letters picked without replacement from googggoogagoaog?
6/91
Calculate prob of picking 2 k and 1 f when three letters picked without replacement from {k: 7, z: 4, f: 6}.
63/340
Calculate prob of picking 2 i and 1 o when three letters picked without replacement from ggoooigoio.
1/24
Three letters picked without replacement from {o: 7, y: 4}. What is prob of picking 2 y and 1 o?
14/55
Calculate prob of picking 2 o when two letters picked without replacement from {o: 7, k: 4}.
21/55
Two letters picked without replacement from oannnnnnnnnano. Give prob of picking 1 a and 1 o.
4/91
Three letters picked without replacement from ehehhbhbe. Give prob of picking 2 e and 1 h.
1/7
What is prob of picking 2 k when two letters picked without replacement from fmxxkxxkxmfxkmfkeex?
2/57
Calculate prob of picking 1 i, 1 y, and 1 x when three letters picked without replacement from rwiwrryxrr.
1/120
Two letters picked without replacement from {j: 1, a: 14}. Give prob of picking 1 a and 1 j.
2/15
Four letters picked without replacement from {z: 11, k: 3}. Give prob of picking 4 z.
30/91
Two letters picked without replacement from {w: 3, t: 13}. Give prob of picking 2 t.
13/20
Calculate prob of picking 2 p when two letters picked without replacement from pwhhhkhphc.
1/45
Four letters picked without replacement from {c: 1, q: 1, j: 6, v: 3, g: 2}. Give prob of picking 1 q, 2 j, and 1 c.
3/143
Four letters picked without replacement from yyyqqyyyqqqy. What is prob of picking 1 y and 3 q?
14/99
Calculate prob of picking 1 f and 1 r when two letters picked without replacement from {m: 1, r: 4, f: 5, k: 6}.
1/6
Three letters picked without replacement from hwoowaaoooohtwohohw. Give prob of picking 1 w and 2 o.
112/969
What is prob of picking 2 b and 1 f when three letters picked without replacement from {b: 3, p: 7, f: 7, u: 2}?
7/323
Two letters picked without replacement from eevcpciedcppecv. What is prob of picking 1 i and 1 v?
2/105
What is prob of picking 1 x and 1 y when two letters picked without replacement from xwyzf?
1/10
Three letters picked without replacement from rzffg. Give prob of picking 1 g and 2 f.
1/10
Four letters picked without replacement from {c: 4, v: 1, o: 6}. What is prob of picking 2 v and 2 c?
0
Calculate prob of picking 4 r when four letters picked without replacement from rzzrrqzqra.
1/210
Two letters picked without replacement from qqeqqeqeqqeqqeqqqqqq. What is prob of picking 1 e and 1 q?
15/38
Two letters picked without replacement from {p: 2, x: 2, a: 1, u: 4, g: 1}. Give prob of picking 2 u.
2/15
Two letters picked without replacement from eeeee. Give prob of picking 2 e.
1
Three letters picked without replacement from yqrrqjq. What is prob of picking 1 r, 1 q, and 1 j?
6/35
Calculate prob of picking 1 e and 2 x when three letters picked without replacement from xqqnxeeeqnqqnqqqe.
1/170
Three letters picked without replacement from cyyczyyzyyyyyccy. Give prob of picking 3 c.
1/140
Four letters picked without replacement from ajjaajjajjj. Give prob of picking 3 j and 1 a.
14/33
Three letters picked without replacement from bcxjxxxmxxcjxxxbj. What is prob of picking 1 m and 2 x?
9/170
What is prob of picking 1 w and 1 c when two letters picked without replacement from xwrcw?
1/5
Two letters picked without replacement from iirirrroirrrroiiir. Give prob of picking 1 i and 1 o.
14/153
Calculate prob of picking 3 d and 1 a when four letters picked without replacement from {d: 3, a: 7}.
1/30
Calculate prob of picking 2 a and 1 l when three letters picked without replacement from aalallll.
15/56
Four letters picked without replacement from {q: 2, w: 3}. Give prob of picking 3 w and 1 q.
2/5
What is prob of picking 1 d and 2 n when three letters picked without replacement from {u: 1, j: 1, d: 1, n: 2, v: 1, k: 2}?
1/56
Three letters picked without replacement from deddoeodddedo. What is prob of picking 2 o and 1 e?
9/286
Three letters picked without replacement from {o: 1, w: 2}. What is prob of picking 3 o?
0
Calculate prob of picking 1 k, 1 h, and 1 r when three letters picked without replacement from {r: 3, h: 1, k: 3, w: 3}.
3/40
Two letters picked without replacement from joogwjjwwjjogoj. What is prob of picking 2 o?
2/35
Calculate prob of picking 2 f when two letters picked without replacement from bbbffbbbbbbfbfbf.
1/12
Three letters picked without replacement from {n: 4, c: 2, f: 1, r: 4, x: 1, d: 3}. Give prob of picking 1 f, 1 n, and 1 c.
8/455
What is prob of picking 2 n when two letters picked without replacement from {w: 4, n: 7}?
21/55
Three letters picked without replacement from {w: 2, a: 5}. Give prob of picking 2 w and 1 a.
1/7
Two letters picked without replacement from bgbggbbbbbbb. What is prob of picking 2 b?
6/11
Three letters picked without replacement from cpccccpcccc. What is prob of picking 2 p and 1 c?
3/55
Two letters picked without replacement from {w: 7, p: 7}. Give prob of picking 2 w.
3/13
Four letters picked without replacement from {m: 4}. Give prob of picking 4 m.
1
Three letters picked without replacement from bzfbzwrbwwwf. Give prob of picking 2 w and 1 r.
3/110
What is prob of picking 1 t, 1 p, and 1 e when three letters picked without replacement from {t: 1, y: 1, a: 1, p: 1, b: 1, e: 6}?
2/55
Four letters picked without replacement from cclccfclcccccc. What is prob of picking 1 c, 2 f, and 1 l?
0
Calculate prob of picking 2 h when two letters picked without replacement from hhhhh.
1
Calculate prob of picking 1 f and 1 y when two letters picked without replacement from yykwkrfrkkyfpkfpfk.
4/51
Calculate prob of picking 1 j and 1 s when two letters picked without replacement from sjccccsccccccc.
2/91
Three letters picked without replacement from zhhhhizzziz. Give prob of picking 2 h and 1 z.
2/11
What is prob of picking 3 b when three letters picked without replacement from brbrbrrrrrrrrrbrrrb?
10/969
Calculate prob of picking 4 h when four letters pic
|
{
"pile_set_name": "DM Mathematics"
}
|
4 u?
0
What is prob of picking 3 t when three letters picked without replacement from tttttttofttttttttttt?
68/95
What is prob of picking 1 j, 1 y, and 1 x when three letters picked without replacement from xyxxyxjd?
1/7
Two letters picked without replacement from qqqq. What is prob of picking 2 q?
1
Four letters picked without replacement from {n: 10, v: 10}. What is prob of picking 3 v and 1 n?
80/323
What is prob of picking 3 r when three letters picked without replacement from rrrrrorrorrrrrrror?
455/816
Calculate prob of picking 1 t, 1 o, and 2 w when four letters picked without replacement from {w: 3, t: 2, i: 1, o: 1}.
6/35
Two letters picked without replacement from {x: 3, k: 1}. What is prob of picking 2 x?
1/2
Two letters picked without replacement from yggjgqawawjwgaaagwaj. Give prob of picking 1 a and 1 j.
9/95
What is prob of picking 1 d and 1 g when two letters picked without replacement from gndgd?
2/5
Four letters picked without replacement from {q: 4, o: 4, h: 2, g: 3, b: 1, y: 1}. What is prob of picking 2 g, 1 h, and 1 o?
8/455
Calculate prob of picking 1 p and 2 w when three letters picked without replacement from ppwppwwuspiip.
9/143
Calculate prob of picking 2 i when two letters picked without replacement from iiiiiizziziziizi.
11/24
Three letters picked without replacement from wwwwhwwawwwwwwhawwhw. What is prob of picking 3 w?
91/228
What is prob of picking 1 t and 2 v when three letters picked without replacement from vptttvtvtvtpt?
21/143
Calculate prob of picking 2 m, 1 i, and 1 s when four letters picked without replacement from mmoklmmlooiikoslllmo.
4/969
Calculate prob of picking 1 h and 2 y when three letters picked without replacement from {h: 3, y: 9}.
27/55
Two letters picked without replacement from {f: 2, b: 2, l: 2, e: 6}. Give prob of picking 2 l.
1/66
Four letters picked without replacement from aaaaaaaaaa. What is prob of picking 4 a?
1
Three letters picked without replacement from epquqkm. Give prob of picking 1 q, 1 m, and 1 k.
2/35
Two letters picked without replacement from rrdjdrjrd. Give prob of picking 2 j.
1/36
Two letters picked without replacement from ezzzzzzzzzzz. What is prob of picking 2 z?
5/6
Two letters picked without replacement from {x: 1, n: 6, k: 4, h: 2}. What is prob of picking 1 h and 1 x?
1/39
Two letters picked without replacement from {r: 2, q: 1, d: 2}. What is prob of picking 2 r?
1/10
Calculate prob of picking 1 c and 1 v when two letters picked without replacement from uvuc.
1/6
What is prob of picking 1 m and 1 d when two letters picked without replacement from {r: 1, z: 4, d: 1, o: 2, m: 2}?
2/45
Three letters picked without replacement from iznzzzdzdzzbvi. What is prob of picking 1 n, 1 d, and 1 b?
1/182
Four letters picked without replacement from {r: 4, c: 10, x: 5}. What is prob of picking 1 x and 3 c?
50/323
What is prob of picking 1 t and 2 j when three letters picked without replacement from jmjjtjjjjtmjtjjjjjtm?
26/95
What is prob of picking 1 t, 2 u, and 1 k when four letters picked without replacement from ukrtu?
1/5
Calculate prob of picking 1 t and 2 a when three letters picked without replacement from aptaatptat.
1/5
Calculate prob of picking 1 s and 3 u when four letters picked without replacement from {u: 3, s: 1, p: 2, c: 1}.
1/35
Two letters picked without replacement from zzmzzzzzzqz. What is prob of picking 2 z?
36/55
Calculate prob of picking 2 i when two letters picked without replacement from zzzduiwzdwzzwz.
0
What is prob of picking 1 t and 2 j when three letters picked without replacement from twwjw?
0
Four letters picked without replacement from arariaiab. What is prob of picking 1 r and 3 a?
4/63
What is prob of picking 1 e and 1 d when two letters picked without replacement from eedfdpffxrppfxx?
4/105
Two letters picked without replacement from ikiziikzpzhh. What is prob of picking 1 k and 1 i?
4/33
Two letters picked without replacement from {j: 2, e: 3, t: 3, z: 1, l: 1, p: 1}. What is prob of picking 1 l and 1 z?
1/55
Two letters picked without replacement from {f: 4, x: 7}. Give prob of picking 2 x.
21/55
Four letters picked without replacement from elleeeeleeeeee. Give prob of picking 4 e.
30/91
Calculate prob of picking 2 k when two letters picked without replacement from lilllkki.
1/28
What is prob of picking 1 e, 1 m, 1 a, and 1 b when four letters picked without replacement from mmeymayayeaaebyemem?
25/969
Three letters picked without replacement from ahkwwwewwwwkghwkwwhw. Give prob of picking 2 w and 1 e.
11/228
Two letters picked without replacement from qjlq. What is prob of picking 2 q?
1/6
What is prob of picking 1 o, 1 n, and 1 i when three letters picked without replacement from iwiiwonzwninnn?
5/91
Three letters picked without replacement from npptnptjbnv. What is prob of picking 1 p, 1 j, and 1 v?
1/55
What is prob of picking 3 w when three letters picked without replacement from {i: 1, w: 3}?
1/4
Two letters picked without replacement from juuffuyfyyfsffuffff. What is prob of picking 2 f?
5/19
Three letters picked without replacement from ntcggqcqccctcch. Give prob of picking 1 t, 1 h, and 1 q.
4/455
Three letters picked without replacement from tlttlttt. Give prob of picking 1 l and 2 t.
15/28
Calculate prob of picking 2 e and 1 b when three letters picked without replacement from {s: 1, b: 1, e: 3}.
3/10
What is prob of picking 2 y when two letters picked without replacement from ryghyrzx?
1/28
Four letters picked without replacement from {q: 2, l: 6}. Give prob of picking 1 q and 3 l.
4/7
Four letters picked without replacement from iccicbcifcziccc. What is prob of picking 1 c, 1 b, 1 z, and 1 f?
8/1365
Calculate prob of picking 2 x and 1 n when three letters picked without replacement from {i: 1, x: 5, l: 5, u: 1, n: 1, f: 1}.
5/182
Calculate prob of picking 2 n and 1 w when three letters picked without replacement from hllhhlwwhllhwhhhlnnl.
1/380
Two letters picked without replacement from wwuwuuwwwuuww. What is prob of picking 1 u and 1 w?
20/39
Four letters picked without replacement from {s: 6, l: 4, h: 3}. What is prob of picking 1 s and 3 l?
24/715
Calculate prob of picking 1 w, 2 k, and 1 z when four letters picked without replacement from {j: 1, k: 5, v: 2, w: 6, z: 1}.
4/91
Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 3, z: 12}.
12/35
Two letters picked without replacement from ddkdddkdddd. What is prob of picking 2 k?
1/55
Four letters picked without replacement from {f: 9, z: 2, m: 1, v: 2}. Give prob of picking 2 z and 2 v.
1/1001
What is prob of picking 2 h when two letters picked without replacement from {e: 1, h: 7, b: 4, v: 3, p: 2}?
21/136
Three letters picked without replacement from {n: 8, s: 3, d: 2, x: 6}. Give prob of picking 1 n and 2 x.
40/323
Four letters picked without replacement from nybfcfjjn. What is prob of picking 1 j, 1 f, 1 y, and 1 b?
2/63
Calculate prob of picking 1 b and 1 v when two letters picked without replacement from {v: 9, b: 10}.
10/19
What is prob of picking 2 v and 1 s when three letters picked without replacement from {w: 2, k: 2, v: 4, s: 2, l: 2}?
3/55
Calculate prob of picking 3 t when three letters picked without replacement from uttuptupptcttuptttc.
28/323
Calculate prob of picking 2 k and 1 e when three letters picked without replacement from kbkhhkebkhkkehhbhhe.
15/323
Two letters picked without replacement from {m: 1, r: 3, q: 4, h: 2, f: 1}. Give prob of picking 1 q and 1 h.
8/55
Calculate prob of picking 4 x when four letters picked without replacement from {k: 6, x: 6}.
1/33
Two letters picked without replacement from uuuruuuruuru. What is prob of picking 2 r?
1/22
Three letters picked without replacement from ihiikikikhkiikk. Give prob of picking 3 k.
4/91
Three letters picked without replacement from oooooossttststoo. What is prob of picking 1 s, 1 t, and 1 o?
8/35
Three letters picked without replacement from wwwtwtttttwsttwwtww. Give prob of picking 2 t and 1 w.
108/323
Calculate prob of picking 1 d and 3 y when four letters picked without replacement from bobobdobywoyyo.
1/1001
Four letters picked without replacement from {d: 4, w: 15}. Give prob of picking 4 d.
1/3876
What is prob of picking 2 v and 1 j when
|
{
"pile_set_name": "DM Mathematics"
}
|
of 377*w**5/60 - 21*w**4/2 + 364*w**2. What is the second derivative of j(u) wrt u?
754
Let d(t) = t + 4 - 19 + 2*t. Let x be d(9). What is the first derivative of -6 - 18 - 11*b**4 + x wrt b?
-44*b**3
Let i(m) = -m**3 - 6*m**2 + 8*m + 7. Let o be i(-7). What is the third derivative of o*c**2 + 0*c**2 + c**2 + c**2 - 3*c**4 wrt c?
-72*c
Let j(p) = -6*p + 5. Let f(z) = -11*z + 11. Let o be -2*1*50/20. Let g(n) = o*j(n) + 3*f(n). Differentiate g(x) wrt x.
-3
Suppose -5*l + 63 + 17 = 0. Suppose 2*z - 3*w - 5 = -16, 3*z - 31 = -5*w. What is the third derivative of 2*d**4 - 3*d**2 - d**4 - 11*d**z + l*d**2 wrt d?
24*d
Let g(w) be the third derivative of -47*w**4/12 + 7*w**3 + 85*w**2. Find the first derivative of g(c) wrt c.
-94
Let t(q) = -q**3 - 3*q**2 + q + 4. Let v be 4/22 + 175/(-55). Let c be t(v). What is the third derivative of -2*a**2 + 3 - c - 2 - 4*a**4 wrt a?
-96*a
Let f(t) be the third derivative of 0 + 4/3*t**3 - 11/60*t**5 - 6*t**2 + 0*t**4 + 0*t. Differentiate f(w) with respect to w.
-22*w
Let r = 239 + -239. Let x(z) be the second derivative of 0 + 0*z**4 - z + r*z**2 + 1/6*z**3 - 1/20*z**5. Find the second derivative of x(i) wrt i.
-6*i
Let k(i) = -6*i**2 - 3*i - 2. Let j be k(-2). Let f = -18 - j. Find the second derivative of q**2 + 11*q - 13*q + 3*q**2 + 2*q**f wrt q.
12
Let i be 14/(-12)*-3*-2. Let t = 8 + i. What is the second derivative of t - 5*h + 6*h - 1 - 5*h**5 wrt h?
-100*h**3
Let l(s) = -18*s**3 - 19*s**2. Let b(u) = -u**2 + 2*u**3 - 18*u**2 - 15*u**3 - 4*u**3. Let h(m) = 2*b(m) - 3*l(m). Find the third derivative of h(f) wrt f.
120
Find the second derivative of 14*t + 369*t**5 + 4 + 5 - 27 + 10 + 9 wrt t.
7380*t**3
Let y(c) be the second derivative of c + 1/42*c**7 + 0*c**5 + 0 + 0*c**3 + 0*c**2 + 7/6*c**4 + 0*c**6. Find the third derivative of y(t) wrt t.
60*t**2
Let w(t) = -t**3 - 10*t**2 - 9*t + 19. Let m be w(-9). What is the first derivative of -13*f**2 + 4 - 2 - m wrt f?
-26*f
Find the third derivative of 10*a**2 - 34*a**4 - 9 + 7*a**2 - 35*a**4 - 16*a**2 wrt a.
-1656*a
Let q(z) = 84*z**2 - 88*z. Let i(r) = 167*r**2 - 174*r. Let f(l) = 6*i(l) - 10*q(l). Find the second derivative of f(g) wrt g.
324
Let x(r) be the third derivative of -r**9/63 - r**6/40 - 139*r**5/30 + r**2 - 88*r. What is the third derivative of x(w) wrt w?
-960*w**3 - 18
Let r(p) = 649*p**4 + p**2 - p + 679. Let d(l) = l**2 - l - 2. Let z(x) = d(x) - r(x). What is the first derivative of z(f) wrt f?
-2596*f**3
Let z = 37 + -34. Let y(t) be the first derivative of 0*t**2 - 7/4*t**4 + t + 2 + 0*t**z. What is the derivative of y(w) wrt w?
-21*w**2
Let g(q) = 43*q**3 - 4*q**2 - 59*q - 6. Let m(d) = 44*d**3 - 5*d**2 - 59*d - 7. Let r(s) = 7*g(s) - 6*m(s). Find the second derivative of r(n) wrt n.
222*n + 4
Suppose 0 = -2*f + n + 5, 8*f - 3*f - 5*n = 10. Let x(r) = r**3 + 9*r**2 + 2. Let p be x(-9). Find the third derivative of -s**f - s**2 + 0*s**3 + 5*s**p wrt s.
-6
What is the second derivative of 4*s**3 - 10 + 8*s - 4*s**3 - 86*s**2 + 2*s**3 + 95*s**2 wrt s?
12*s + 18
Let s = 5 - 4. What is the derivative of -s + 22*m + 13 - 18*m wrt m?
4
Let v = 25 - 21. Suppose v*a - 2*t - 9 = 9, -4*t + 4 = 0. What is the second derivative of 13*z**2 - a*z - 5*z**2 - 9*z**2 wrt z?
-2
Find the third derivative of -8*u**5 - 12*u**2 + 921 - 925 - 75*u**5 wrt u.
-4980*u**2
Suppose -2*o = -1 - 9. Suppose 3*l - n - 4 = o, -l - 3*n + 13 = 0. What is the first derivative of -2*k + 0*k + 1 - 7 - l wrt k?
-2
Let q(x) = -x**2 + 3*x + 1. Let w(k) = -k**2 - 6*k + 11. Let p(y) = q(y) + w(y). Differentiate p(r) wrt r.
-4*r - 3
Let h(x) be the second derivative of 9*x**2 + 6*x + 3*x**6 + 17*x - 4*x**6. Differentiate h(s) wrt s.
-120*s**3
Suppose -2*r + 210 = 5*r. Find the third derivative of -3*q**4 + 10*q**4 - 30 + r + 8*q**2 wrt q.
168*q
Let n(h) be the first derivative of 0*h + 0*h**2 - 19 + 22/3*h**3 - 11/2*h**4. Find the third derivative of n(l) wrt l.
-132
Let n = 25 - 21. What is the second derivative of 5*f**4 - 4*f**4 + 10*f**4 - 2*f**4 - n*f wrt f?
108*f**2
Let n(f) = -71*f**3 + 110*f**2 - 5. Let v(r) = r**3 + r**2 - 1. Let k(w) = -n(w) + 5*v(w). What is the third derivative of k(s) wrt s?
456
Let v(b) be the first derivative of -31*b**6/30 - b**3/6 - 32*b - 31. Let j(y) be the first derivative of v(y). What is the second derivative of j(s) wrt s?
-372*s**2
Let d be (5 - 1)/1 + -1. Find the third derivative of -12*k**3 + 12*k**2 + 11*k**3 - 9*k**d wrt k.
-60
Suppose -5*p - 25 = 5*r, -p - 25 = -2*r + 4*p. Suppose -5*l - y + r = -1, 5*l + 15 = -5*y. What is the derivative of 0*c + l - c + c + 3*c wrt c?
3
Suppose 0 = -q + 3*q - 4. Suppose -5*h - n = -15, -4*n - 6 = -2*h + n. What is the derivative of 5 + h*m - q*m - m**3 - m wrt m?
-3*m**2
Let m(c) be the third derivative of -c**6/30 + c**5/15 + 29*c**4/12 + 52*c**2 + 2. What is the second derivative of m(v) wrt v?
-24*v + 8
Let v(o) = o**2 - 3*o**2 - 6*o**2 + 3 + 2*o**2 + 7*o. Let i(u) = 5*u**2 - 6*u - 4. Let c(h) = 7*i(h) + 6*v(h). Find the first derivative of c(y) wrt y.
-2*y
Let r(m) = -9*m**2 - 104*m - 713. Let u(l) = 7*l**2 + 99*l + 714. Let p(z) = -4*r(z) - 5*u(z). What is the first derivative of p(f) wrt f?
2*f - 79
Let f(l) = -235*l + 261. Let w(p) = 78*p - 88. Let g(z) = -2*f(z) - 7*w(z). Find the first derivative of g(q) wrt q.
-76
Let r(t) = 366*t**4 + 32*t**2 + 16*t + 8. Let i(n) = n**4 + n**2 + 4*n + 1. Let w(p) = -4*i(p) + r(p). What is the third derivative of w(j) wrt j?
8688*j
Let i(r) = -r**3 + 4*r**2 + 7*r - 7. Let c be i(5). What is the third derivative of 48 - 8*z**2 - 48 - 10*z**c wrt z?
-60
Let n(g) = -69*g**5 - 3*g**4 - 3*g**3 - 7*g - 41. Let u(s) = s**5 - s**4 - s**3 - s. Let x(m) = n(m) - 3*u(m). Find the second derivative of x(w) wrt w.
-1440*w**3
Let d(v) be the second derivative of -v**4/4 + 17*v**3/3 + 11*v**2 + 3*v + 9. Differentiate d(j) with respect to j.
-6*j + 34
Suppose -5*a + p = 9, 2*a + 9*p + 9 = 4*p. Let r = 9 + a. Find the first derivative of r - 4 + 0*z + 1 - 6*z wrt z.
-6
Let r(i) = -12*i**5 - 4*i**4 - 3*i - 65. Let k(p) = 23*p**5 + 9*p**4 + 7*p + 130. Let d(g) = 4*k(g) + 9*r(g). What is the second derivative of d(t) wrt t?
-320*t**3
Suppose -4*c - 7*w = -2*w + 80, 0 = 2*c + 4*w + 46. Let o be 6/10 + (-21)/c. What is the first derivative of -15 + 12 + 4*k**o - k**2 wrt k?
6*k
What is the second derivative of -55*b - b**3 - 9*b**4 - 6*b**3 + 2*b**3 + 144*b + 3*b**3 wrt b?
-108*b**2 - 12*b
Suppose z = 4*z + 15. Let k be (z - -2)*(-4)/3. Find the second derivative of -2*h**4 - 4*h**k + 0*h + 4*h + 8*h**4 wrt h.
24*h**2
Suppose -9*p = -11 - 61. Find the third derivative of 3 + 5 - 16*q**4 - p + 8*q**2 wrt q.
-384*q
Let m(n) = n**2 - 5*n + 6. Let y be m(4). What is the third derivative of -7*a**5 + 4*a**5 - 4*a**y - a**5 wrt a?
-240*a**2
Let l(b) be the second derivative of -26*b**3 - 65*b**2 - 104*b. Find the first derivative of l(h) wrt h.
-156
Let a(q) = -79*q**3 - 4*q**2 - 16*q + 5. Let r(z) = -80*z**3 - 5*z**2 - 17*z + 6. Let x(s) = 6*a(s) - 5*r(s). Find the third derivative of x(c) wrt c.
-444
Let p(o) be the second derivative of 13*o**8/8 - o**4/6 + 35*o**2/2 - 11*o - 4. What is the third derivative of p(w) wrt w?
10920*w**3
Let t(n) = 588*n**2 - 531*n. Let s(f) = -84*f**2 + 76*f. Let u(i) = 30*s(i) + 4*t(i). What is the second derivative of u(x) wrt x?
-336
Let g(u) = -64*u + 30. Let o(y) = -3. Let n(z) = 2*g(z) - 18*o(z). What is the first derivative of n(k) wrt k?
-128
Let p(i) = -i**3 + i**2 + i + 1. Let f(x) = 224*x**3 - 96*x**2 - 2*x - 2. Let m(a) = -f(a) - 2*p(a). Find the third derivative of m(k) wrt k.
-1332
What is the second derivative of -5 - 3*d**3 + 6*d**3 + 7 - 28*d + 33*d**3 + 43*d**3 + 2*d**2 wrt d?
474*d + 4
Let t(g) be the second derivative of 0*g**2 + 0*g**3 - 5/4*g**4 + g - 7/10*g**5 + 0. Find the third derivative of t(d) wrt d.
-84
Suppose -k + 23 = -w + 5*w, k = 4*w - 25. Let i = -3 + w. What is the first derivative of 3 - 7 - i*d + 5*d + d wrt d?
3
Suppose 3*p = -p + 5*p. Let g(x) be the first derivative of x**3 + p*x + 2/5*x**5 + 0*x**2 + 0*x**4 - 2. Find the third derivative of g(t) wrt t.
48*t
Let z(s) be the second derivative of -2*s**6/15 + s**5/60 - 2*s**2 - 5*s. Let g(q) be the first derivative of z(q). What is the third derivative of g(l
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Is 439 prime?
True
Is 4135 a prime number?
False
Is 5559917 prime?
False
Is 6469 composite?
False
Is 1586558 prime?
False
Is 45659 a composite number?
False
Is 267713 a composite number?
False
Is 31751 composite?
False
Is 5773 composite?
True
Is 43822 prime?
False
Is 95507 a prime number?
True
Is 83203 composite?
False
Is 322043 composite?
True
Is 9327 a composite number?
True
Is 87851 prime?
False
Is 2281 prime?
True
Is 462247 a prime number?
False
Is 588613 a prime number?
False
Is 2683 composite?
False
Is 112543 composite?
False
Is 436138 a prime number?
False
Is 43151 prime?
True
Is 565049 composite?
False
Is 5737 a prime number?
True
Is 25147 a prime number?
True
Is 4531 a prime number?
False
Is 2917 a composite number?
False
Is 146581 prime?
True
Is 193447 prime?
True
Is 166007 prime?
False
Is 1943 prime?
False
Is 402323 a prime number?
False
Is 151631 prime?
True
Is 374219 composite?
False
Is 29765 prime?
False
Is 11299 a composite number?
False
Is 583 prime?
False
Is 33793 a prime number?
False
Is 18709 a composite number?
True
Is 11399 a composite number?
False
Is 136573 a prime number?
True
Is 29629 a composite number?
False
Is 20299 a prime number?
False
Is 12313 prime?
False
Is 190001 a prime number?
False
Is 57367 composite?
False
Is 210757 a prime number?
False
Is 10739 a prime number?
True
Is 18742 a prime number?
False
Is 1234054 a composite number?
True
Is 1757 a composite number?
True
Is 287437 prime?
True
Is 177379 prime?
True
Is 565021 a composite number?
True
Is 6169 composite?
True
Is 5323 prime?
True
Is 2903 a composite number?
False
Is 46367 prime?
False
Is 650173 a composite number?
True
Is 338703 prime?
False
Is 28099 a composite number?
False
Is 66111 a prime number?
False
Is 2767 a prime number?
True
Is 125435 composite?
True
Is 1167599 composite?
False
Is 18751 prime?
False
Is 20819 a prime number?
False
Is 91493 prime?
True
Is 358031 a prime number?
True
Is 1415 a prime number?
False
Is 162349 a composite number?
True
Is 20849 a composite number?
False
Is 366001 a prime number?
True
Is 18697 prime?
False
Is 807 composite?
True
Is 7721 a composite number?
True
Is 13499 prime?
True
Is 119147 prime?
False
Is 16787 a prime number?
True
Is 1097717 a prime number?
True
Is 325979 a prime number?
False
Is 839 composite?
False
Is 93823 composite?
True
Is 128387 a prime number?
False
Is 8419 a prime number?
True
Is 225341 a composite number?
False
Is 93077 a prime number?
True
Is 5221 a prime number?
False
Is 3611885 prime?
False
Is 1234 prime?
False
Is 119797 a prime number?
True
Is 914987 a prime number?
False
Is 126491 composite?
False
Is 12829 prime?
True
Is 1109839 a prime number?
True
Is 2193185 prime?
False
Is 13309 a composite number?
False
Is 1814 prime?
False
Is 4701 a composite number?
True
Is 76943 prime?
True
Is 53659 a composite number?
True
Is 267191 composite?
True
Is 8009 a composite number?
False
Is 861571 prime?
True
Is 81505 a composite number?
True
Is 2029 composite?
False
Is 169561 a composite number?
True
Is 469583 composite?
False
Is 150317 composite?
True
Is 537941 prime?
True
Is 4201 a prime number?
True
Is 109049 a composite number?
False
Is 119181 a prime number?
False
Is 58915 composite?
True
Is 7993 prime?
True
Is 67919 prime?
False
Is 70051 a composite number?
False
Is 5293293 a prime number?
False
Is 491 prime?
True
Is 2798 prime?
False
Is 321991 a composite number?
False
Is 8219 prime?
True
Is 4493 a prime number?
True
Is 102293 composite?
False
Is 49397 a prime number?
False
Is 15685 composite?
True
Is 371737 prime?
True
Is 19913 a composite number?
False
Is 853 a composite number?
False
Is 7531 composite?
True
Is 852233 composite?
False
Is 26327 composite?
True
Is 34939 a prime number?
True
Is 34691 a prime number?
False
Is 8641 a composite number?
False
Is 1257 composite?
True
Is 245471 a composite number?
False
Is 13193 a prime number?
False
Is 22921 composite?
False
Is 19563 composite?
True
Is 8209 a prime number?
True
Is 7243 a prime number?
True
Is 137009 a prime number?
False
Is 127579 prime?
True
Is 909907 a prime number?
True
Is 64511 prime?
False
Is 7789 a prime number?
True
Is 154039 prime?
False
Is 716801 a composite number?
True
Is 121421 a prime number?
True
Is 11359 composite?
True
Is 121645 prime?
False
Is 403459 a composite number?
True
Is 518849 a prime number?
False
Is 3386 composite?
True
Is 291959 composite?
True
Is 328499 composite?
True
Is 7621 a prime number?
True
Is 11027 a prime number?
True
Is 7534 a composite number?
True
Is 4327 composite?
False
Is 381403 composite?
True
Is 3377 a prime number?
False
Is 20074 prime?
False
Is 13643 a composite number?
True
Is 16103 composite?
False
Is 136727 a prime number?
True
Is 337397 a composite number?
False
Is 6287849 a prime number?
True
Is 132827 composite?
True
Is 12723 a prime number?
False
Is 32117 prime?
True
Is 46841 a prime number?
False
Is 603311 prime?
True
Is 1843 a prime number?
False
Is 661537 a composite number?
True
Is 1471 composite?
False
Is 13621 a prime number?
False
Is 48053 a composite number?
True
Is 1255973 prime?
False
Is 922367 a composite number?
False
Is 128227 a composite number?
True
Is 4618 prime?
False
Is 36671 prime?
True
Is 2181 composite?
True
Is 4699 a composite number?
True
Is 1017083 a composite number?
True
Is 150151 composite?
False
Is 2417 a prime number?
True
Is 30631 a prime number?
True
Is 2611 a prime number?
False
Is 21898 a composite number?
True
Is 4867 a prime number?
False
Is 110311 a prime number?
True
Is 166471 prime?
True
Is 9667 prime?
False
Is 2609 a composite number?
False
Is 218221 a prime number?
False
Is 64733 prime?
False
Is 1657 prime?
True
Is 85 composite?
True
Is 1040311 a prime number?
True
Is 176557 a prime number?
True
Is 23657 a composite number?
True
Is 811523 composite?
False
Is 686863 a composite number?
False
Is 38953 prime?
True
Is 185429 prime?
True
Is 151123 composite?
True
Is 1704229 a prime number?
True
Is 511409 a prime number?
True
Is 4648907 composite?
False
Is 2813 a prime number?
False
Is 284167 a composite number?
True
Is 671393 composite?
True
Is 22739 a composite number?
False
Is 16079 a prime number?
False
Is 3761 a composite number?
False
Is 541507 a prime number?
True
Is 9263 a composite number?
True
Is 31747 a composite number?
True
Is 940361 a prime number?
True
Is 36293 composite?
False
Is 1650263 a prime number?
True
Is 9677 a composite number?
False
Is 3333593 a composite number?
False
Is 42877 a prime number?
False
Is 10391 composite?
False
Is 123899 a prime number?
False
Is 7961 prime?
False
Is 2801057 a composite number?
True
Is 116719 a composite number?
False
Is 46327 prime?
True
Is 14567 a prime number?
False
Is 514417 a composite number?
False
Is 685469 a prime number?
False
Is 893533 a prime number?
False
Is 61909 a composite number?
False
Is 247109 a composite number?
True
Is 3863 a prime number?
True
Is 1320289 prime?
False
Is 50327 prime?
False
Is 10481 a prime number?
False
Is 783869 a composite number?
False
Is 1361 composite?
False
Is 1420879 prime?
True
Is 245849 a composite number?
False
Is 964163 a prime number?
False
Is 7624349 composite?
False
Is 8939 a composite number?
True
Is 106423 a composite number?
True
Is 161441 composite?
True
Is 1309327 prime?
False
Is 23354 composite?
True
Is 341123 composite?
False
Is 40613 a composite number?
True
Is 177302 a composite number?
True
Is 88117 a composite number?
False
Is 24481 composite?
False
Is 10297 composite?
True
Is 221999 composite?
False
Is 82817 prime?
False
Is 2927 a composite number?
False
Is 86771 a composite number?
False
Is 4663 composite?
False
Is 117269 prime?
True
Is 16001 prime?
True
Is 1055807 composite?
True
Is 415967 a prime number?
False
Is 89207 a composite number?
True
Is 1625401 a composite number?
True
Is 49493 a prime number?
False
Is 29261 a composite number?
True
Is 94759 a composite number?
True
Is 704213 a prime number?
True
Is 315814 composite?
True
Is 4511 composite?
True
Is 182717 a composite number?
True
Is 94597 a composite number?
False
Is 24347 composite?
True
Is 126443 composite?
False
Is 25649 a prime number?
False
Is 20477 a composite number?
False
Is 19267 composite?
False
Is 62189 prime?
True
Is 5469 composite?
True
Is 334
|
{
"pile_set_name": "DM Mathematics"
}
|
utes are there between 5:43 AM and 6:27 AM?
44
How many minutes are there between 6:27 PM and 8:48 PM?
141
What is 501 minutes after 11:09 PM?
7:30 AM
What is 295 minutes after 7:47 AM?
12:42 PM
What is 401 minutes after 7:17 AM?
1:58 PM
What is 371 minutes before 10:51 AM?
4:40 AM
What is 145 minutes after 7:23 PM?
9:48 PM
How many minutes are there between 3:13 PM and 4:02 PM?
49
What is 279 minutes before 3:58 AM?
11:19 PM
What is 155 minutes before 9:16 PM?
6:41 PM
How many minutes are there between 2:30 AM and 7:09 AM?
279
How many minutes are there between 3:35 PM and 3:17 AM?
702
What is 597 minutes before 12:15 PM?
2:18 AM
How many minutes are there between 4:14 PM and 7:07 PM?
173
What is 251 minutes before 7:56 PM?
3:45 PM
What is 662 minutes after 4:42 AM?
3:44 PM
How many minutes are there between 11:36 AM and 11:16 PM?
700
What is 699 minutes before 7:40 AM?
8:01 PM
How many minutes are there between 8:22 PM and 11:17 PM?
175
What is 171 minutes after 3:30 PM?
6:21 PM
What is 636 minutes after 3:43 AM?
2:19 PM
How many minutes are there between 6:57 AM and 4:42 PM?
585
How many minutes are there between 9:27 PM and 4:05 AM?
398
What is 251 minutes before 3:20 PM?
11:09 AM
How many minutes are there between 4:55 PM and 1:03 AM?
488
How many minutes are there between 3:01 AM and 12:49 PM?
588
How many minutes are there between 7:43 PM and 2:08 AM?
385
How many minutes are there between 12:21 PM and 6:47 PM?
386
What is 404 minutes after 4:22 PM?
11:06 PM
What is 644 minutes before 3:32 AM?
4:48 PM
How many minutes are there between 10:02 PM and 2:58 AM?
296
What is 332 minutes before 8:32 PM?
3:00 PM
What is 416 minutes after 10:31 PM?
5:27 AM
How many minutes are there between 4:19 AM and 9:23 AM?
304
What is 677 minutes before 3:30 AM?
4:13 PM
What is 387 minutes after 1:45 PM?
8:12 PM
How many minutes are there between 1:03 AM and 3:38 AM?
155
How many minutes are there between 1:08 PM and 3:03 PM?
115
What is 386 minutes after 12:34 PM?
7:00 PM
What is 470 minutes after 4:53 PM?
12:43 AM
How many minutes are there between 10:33 PM and 9:43 AM?
670
How many minutes are there between 1:27 PM and 3:28 PM?
121
How many minutes are there between 10:28 PM and 8:01 AM?
573
What is 76 minutes after 4:00 AM?
5:16 AM
What is 692 minutes before 3:42 PM?
4:10 AM
How many minutes are there between 12:20 PM and 12:47 PM?
27
How many minutes are there between 6:45 PM and 3:30 AM?
525
How many minutes are there between 4:25 PM and 9:29 PM?
304
What is 524 minutes after 6:55 PM?
3:39 AM
What is 139 minutes before 5:38 PM?
3:19 PM
How many minutes are there between 7:42 AM and 6:49 PM?
667
What is 473 minutes before 8:49 AM?
12:56 AM
What is 104 minutes before 1:24 PM?
11:40 AM
How many minutes are there between 6:37 PM and 9:23 PM?
166
How many minutes are there between 12:18 PM and 11:02 PM?
644
How many minutes are there between 1:56 PM and 9:46 PM?
470
How many minutes are there between 6:25 AM and 4:08 PM?
583
How many minutes are there between 1:59 AM and 12:35 PM?
636
What is 315 minutes before 11:46 PM?
6:31 PM
What is 42 minutes after 5:56 AM?
6:38 AM
How many minutes are there between 11:28 PM and 12:03 AM?
35
What is 166 minutes before 7:33 AM?
4:47 AM
How many minutes are there between 6:52 PM and 4:01 AM?
549
How many minutes are there between 11:02 AM and 7:23 PM?
501
What is 430 minutes before 11:39 PM?
4:29 PM
How many minutes are there between 11:43 PM and 5:14 AM?
331
How many minutes are there between 6:37 AM and 6:43 AM?
6
How many minutes are there between 9:00 AM and 6:20 PM?
560
How many minutes are there between 9:03 PM and 4:02 AM?
419
How many minutes are there between 11:36 AM and 4:02 PM?
266
What is 292 minutes after 10:23 AM?
3:15 PM
How many minutes are there between 7:00 PM and 2:19 AM?
439
What is 492 minutes before 10:05 AM?
1:53 AM
How many minutes are there between 3:17 AM and 4:49 AM?
92
What is 286 minutes after 12:08 AM?
4:54 AM
How many minutes are there between 8:18 PM and 7:27 AM?
669
What is 172 minutes before 2:44 PM?
11:52 AM
How many minutes are there between 12:28 PM and 12:05 AM?
697
What is 298 minutes before 2:38 PM?
9:40 AM
How many minutes are there between 8:33 AM and 12:57 PM?
264
What is 36 minutes before 9:26 AM?
8:50 AM
How many minutes are there between 8:42 PM and 6:26 AM?
584
How many minutes are there between 8:27 AM and 2:58 PM?
391
How many minutes are there between 8:10 PM and 7:43 AM?
693
How many minutes are there between 1:17 PM and 11:08 PM?
591
What is 573 minutes before 12:06 PM?
2:33 AM
How many minutes are there between 5:43 PM and 3:38 AM?
595
How many minutes are there between 1:31 AM and 7:24 AM?
353
What is 387 minutes after 2:40 AM?
9:07 AM
How many minutes are there between 3:06 PM and 9:17 PM?
371
How many minutes are there between 1:20 PM and 4:57 PM?
217
How many minutes are there between 10:36 AM and 3:46 PM?
310
How many minutes are there between 4:38 PM and 7:18 PM?
160
What is 270 minutes before 8:10 AM?
3:40 AM
How many minutes are there between 7:51 PM and 6:07 AM?
616
How many minutes are there between 11:01 PM and 7:35 AM?
514
How many minutes are there between 5:58 AM and 1:23 PM?
445
How many minutes are there between 2:41 PM and 7:46 PM?
305
What is 120 minutes after 5:00 AM?
7:00 AM
How many minutes are there between 4:09 AM and 3:46 PM?
697
What is 317 minutes after 10:37 PM?
3:54 AM
What is 185 minutes after 11:16 AM?
2:21 PM
How many minutes are there between 12:15 PM and 9:27 PM?
552
What is 254 minutes before 7:48 PM?
3:34 PM
What is 332 minutes before 5:23 PM?
11:51 AM
What is 404 minutes before 6:31 AM?
11:47 PM
What is 564 minutes before 7:07 AM?
9:43 PM
How many minutes are there between 9:58 PM and 2:47 AM?
289
What is 144 minutes before 3:32 PM?
1:08 PM
How many minutes are there between 9:47 PM and 10:35 PM?
48
What is 558 minutes before 2:13 AM?
4:55 PM
What is 416 minutes before 10:02 PM?
3:06 PM
What is 667 minutes after 11:34 PM?
10:41 AM
What is 321 minutes before 12:11 PM?
6:50 AM
What is 391 minutes before 5:06 AM?
10:35 PM
How many minutes are there between 7:51 PM and 3:27 AM?
456
How many minutes are there between 7:08 AM and 10:00 AM?
172
What is 439 minutes before 4:16 AM?
8:57 PM
What is 625 minutes after 12:22 AM?
10:47 AM
How many minutes are there between 4:46 AM and 8:58 AM?
252
What is 2 minutes after 6:46 PM?
6:48 PM
How many minutes are there between 7:42 AM and 2:20 PM?
398
What is 612 minutes before 1:38 AM?
3:26 PM
How many minutes are there between 10:33 PM and 10:18 AM?
705
How many minutes are there between 8:01 AM and 8:12 AM?
11
How many minutes are there between 6:07 AM and 12:49 PM?
402
How many minutes are there between 5:47 AM and 7:24 AM?
97
What is 217 minutes after 2:44 AM?
6:21 AM
What is 204 minutes after 8:33 AM?
11:57 AM
What is 618 minutes before 5:23 PM?
7:05 AM
What is 96 minutes after 6:02 PM?
7:38 PM
How many minutes are there between 8:15 AM and 3:34 PM?
439
How many minutes are there between 2:17 PM and 7:30 PM?
313
How many minutes are there between 7:42 AM and 1:55 PM?
373
How many minutes are there between 4:44 PM and 11:34 PM?
410
What is 97 minutes before 12:29 PM?
10:52 AM
How many minutes are there between 11:12 PM and 1:36 AM?
144
What is 117 minutes before 9:34 PM?
7:37 PM
How many minutes are there between 1:51 AM and 12:27 PM?
636
What is 493 minutes before 3:40 AM?
7:27 PM
How many minutes are there between 5:34 PM and 12:53 AM?
439
How many minutes are there between 1:01 AM and 3:09 AM?
128
What is 625 minutes before 6:49 AM?
8:24 PM
How many minutes are there between 3:23 PM and 12:18 AM?
535
What is 675 minutes after 6:36 AM?
5:51 PM
How many minutes are there between 7:19 PM and 6:41 AM?
682
How many minutes are there between 5:21 PM and 1:08 AM?
467
How many minutes are there between 12:26 PM and 11:43 PM?
677
What is 302 minutes after 6:17 AM?
11:19 AM
What is 327 minutes before 6:28 PM?
1:01 PM
What is 616 minutes before 12:06 AM?
1:50 PM
What is 4 minutes after 3:59 PM?
4:03 PM
What is 71 minutes after 8:11 PM?
9:22 PM
What is 360 minutes before 11:49 PM?
5:49 PM
What is 665 minutes before 10:30 PM?
11:25 AM
What is 332 minutes after 4:13 PM?
9:45 PM
How many minutes are th
|
{
"pile_set_name": "DM Mathematics"
}
|
3*g, -b*g = 25 for p.
5
Let l(k) = 3*k**2 - 39*k + 70. Let m be l(2). Solve 5*v = -p + 27, -28 = -m*v - 2*p - 4 for v.
5
Let a(i) be the first derivative of -3/2*i**4 + 0*i + 2/3*i**3 - 9 + 1/2*i**2. Let m be a(-1). Solve 0 = -4*p - 3*o + 17, -3*p + 5*o - m - 2 = 0 for p.
2
Let q(b) = -4*b**3 + 44*b**2 + 3*b - 20. Let u be q(11). Let y = 4 - 3. Suppose 3*a - y = 11. Solve 5*n - a*r - 5 = 0, -3*r - 3 = -n - u for n.
5
Suppose 5*n = -31 - 4. Let h be n/((-175)/20)*15/6. Solve 5*r = 5, -4*r = -h*f + 5*f - 10 for f.
2
Let a be 1*(-6)/(-6)*2/(-2). Let g be 4/8 - ((-42)/12 - a). Solve -5*z - 27 = 2*k, g*k + k - z = 1 for k.
-1
Let f(j) = -2*j**2 - 15*j + 251. Let z be f(8). Solve t = -z*u + 6, 30*u = -5*t + 32*u - 4 for t.
0
Let d = 3583 + -3564. Solve -5*w + 4*f = 21, 0 = -20*w + d*w + f - 5 for w.
-1
Let v(a) = 21*a + 66. Suppose -27*k - 27 = -18*k. Let y be v(k). Solve 2*p + y*d + 15 - 5 = 0, 0 = -5*d for p.
-5
Let a(v) = 138*v - 552. Let u be a(4). Solve 2*j + 2*i = 5 - 1, u = -2*i + 10 for j.
-3
Suppose f - 5 = -3*v, -429*v = -2*f - 427*v + 10. Solve -5*s - 19 = -3*h, -3*h = 2*h + f*s - 5 for h.
3
Suppose -5*r = -10 - 5. Let x be ((-25)/15)/(r*(-1)/9). Solve 35 = x*w + 2*m, 5*w = -m + 35 - 5 for w.
5
Suppose 0 = 11348*k - 11330*k - 162. Solve -22 = 5*s - 4*h, 0 = k*s - 8*s + 3*h - 7 for s.
-2
Let w(a) = 14*a**2 + 6*a + 181. Let r(i) = 5*i**2 + 2*i + 60. Let h(y) = -17*r(y) + 6*w(y). Let v be h(-7). Solve -f + 29 = -0*x - 5*x, f = -v*x - 11 for f.
4
Let k = -3610 - -3615. Solve -s + 2 = -u, -u - 3*u + s - k = 0 for u.
-1
Suppose 97*o = -121*o + 240*o - 792. Solve 0 = 4*z + 5*d + 5, z + o*d + 20 = 41*d for z.
-5
Let b be (429/65 + -3)/(48/160). Solve 0 = -5*g - 2*c - 10, -4*g = -5*c + b*c + 35 for g.
0
Suppose 0 = -34*z + 438 + 232 + 10. Solve 4*x - z = -3*j, 3*x - 18 = 2*x - 4*j for x.
2
Let g = -142 - -145. Suppose -5*x - 6*y + 5*y + 9 = 0, -g*x + 3 = 3*y. Solve -2*k = 5*w - x + 20, 5*w + 30 = -5*k for w.
-2
Let v = 54 - 33. Let w(m) = -m**3 + 2*m**2 + 4. Let n be w(2). Suppose 3*u - n*i - 18 = 0, i = 3*u + 3*i. Solve -4*p + 12 = u*l, 4*p - v = -l - p for l.
-4
Let t be (88/55)/((-1)/(-10)*4). Solve 0 = -4*k + t*h + 24, -33*k - 3 = -32*k + 2*h for k.
3
Let d be -1*((3 - -4) + -6). Let y be 8/(-20)*(9 + d - 13). Solve -y*k + 6 = -3*m + k, 5*k - 20 = -5*m for m.
1
Let j(p) = 2*p**3 + 12*p**2 + 31*p + 189. Let x be j(-6). Solve 22*i + 3*f + 3 = 23*i, 2*f + 13 = -x*i for i.
-3
Let n = -48 + 53. Suppose x - n = -3*w + 2*w, w = x + 3. Suppose -7*v + 9*v = w. Solve -h = -2 - 2, -v*u + h - 14 = 0 for u.
-5
Suppose -22 = -f + 3*s - 2, 0 = s - 5. Let r = 56 - f. Let v = r + -18. Solve -v*c - 8 = -0*k - 4*k, -4*k - 8 = c for k.
-1
Suppose 0 = -3383*r + 3436*r - 530. Let w = -5 - -9. Suppose -w*z + 4 = 2*f + 2*f, 3*f - 1 = -2*z. Solve -3*g + r + 1 = -o, o - 9 = -z*g for o.
1
Suppose 11*u + 3*k = 12*u + 8, -3*u + 4*k - 4 = 0. Let q be (-6)/(-27) - 50/(-18). Solve -3*x = -4*p - 32, 5*x - u*p - 28 = q*x for x.
4
Suppose 5*f = f - 3*q - 605, q - 1 = 0. Let i = -149 - f. Solve -4*c - 14 = -0*c - d, -3*c - i*d = 18 for c.
-4
Suppose 37*c - 33*c = 5*k + 42, -c = -4*k - 27. Solve -4*r + c*l - 8 = 0, -4 = 2*r + 20*l - 18*l for r.
-2
Let n(p) = 33*p**3 - 2*p**2 - 7*p + 3. Let f be n(2). Let c = -243 + f. Solve -8 = 2*w + 5*r, -c*w + r + 0 = -4 for w.
1
Suppose 55*o = 189 + 99 - 68. Solve -o*z - 19 = -5*r, -5*r + z + 54 = 38 for r.
3
Let k(f) = -66*f. Let g be k(-2). Let r be g/(-88)*4/(-3). Solve -3*p = 5*h + r*p - 35, 0 = -p + 3 for h.
4
Let y be 5*(22 - (-432)/(-20)). Solve 5*x = 4*o - 5, x + 3*o = y*x + 12 for x.
3
Let p = -46458 + 46573. Solve -z = s + 1, s = 120*z - p*z - 25 for z.
4
Let a(c) = c**2 - 69*c + 3. Let p be a(0). Solve 5*h - p*j = 9*h, 2*h + 2*j = 0 for h.
0
Let v = -237 + 244. Let w be 12/v + 2/7. Solve 0 + 5 = -j, -w*k - 3*j = 7 for k.
4
Let r(h) = -240*h + 5282. Let v be r(22). Solve 13*s - 9*s = a + 5, -2 = v*s + 4*a for s.
1
Let i = -3 - -7. Let s = -28054 - -28056. Solve -3*t = -s*d + i - 2, -4*d + 4 = 4*t for t.
0
Let t be (-5)/(-10) + (-134)/4. Let f be t + -1 + 3/(-3). Let h = f + 40. Solve 3*c = -h*y + 9, c + 5*y - 3 = -0*c for c.
3
Suppose 24 = -0*d + 4*d. Let i be -4 + -7 + 17 - -42. Suppose -10 = 43*k - i*k. Solve n + 3*o + d + 4 = 0, -3*o - 5 = k*n for n.
5
Suppose 12 = -y + 3*z, -5*y + 3*y - 8 = -2*z. Suppose j + 4*j - 5*o = 0, -j - o = y. Solve -4*x - x + h + 5 = j, -2*x - 4*h + 24 = 0 for x.
2
Let v(u) = 39*u**2 - 350*u - 7. Let y be v(9). Solve 0 = 5*j + 3*c - 17, 0 = -j - 2*j + y*c + 14 for j.
4
Suppose -181 = -22*x - 19*x + 24. Solve -3*i - 2*w + 17 = 0, i + x*w - 39 = -16 for i.
3
Let d be (-4 - (-96)/15)/(81/270). Solve 5*x - d - 9 = 3*y, -3*y = 3*x - 15 for x.
4
Let k(r) = -r**3 - 5*r**2 + 4*r + 35. Let g be k(-4). Solve s = -p + 6, 0 = -5*s + 2 + g for p.
5
Suppose 33*d = 42*d + 27. Let t be (7/d - 1)*300/(-125). Solve 2*l + 4*j = -t, 2*l - 4*j = 25 - 9 for l.
2
Suppose 8 = p + p. Suppose s = 6 - p. Suppose 0 = -n - 0*n + 2*v, -5*n - v = -22. Solve -n*l = -2*l + s, 16 = 3*b - l for b.
5
Let b be 3/(-27)*-6*(17 + -2). Let z(h) = h**2 - 12*h + 22. Let u be z(b). Solve -5*s - 4*y + 15 = 0, -4*y - 15 = -u*s - 3*s for s.
3
Let q be 130/(-15)*(-3)/(-2)*2. Let u = 30 + q. Let y(x) = 12*x**3 - 4*x**2 + x + 2. Let z be y(1). Solve 0 = b + u*l - 14, -b - 2*l - 3 = -z for b.
2
Let d = -167 - -165. Let j be 16/5 - d - 1/5. Solve 5*v = -2*z + 15, -j*v + z + 20 = 5 for v.
3
Suppose 415 = -2*v - 2*u - 39, 0 = 5*v - u + 1141. Let j be ((-6)/(-4))/(v/(-3496)). Solve 0 = -s - 0*s - 2*l - 11, -3*s - 4*l = j for s.
-1
Suppose -324*j + 4044 = -23496. Solve -j*u + 84*u - 4 = 0, 0 = 5*k + 3*u - 23 for k.
7
Suppose -168*t + 582 = -4*t + 30*t. Solve -5*s + 5*b = -t*s + 14, -s - 9 = -3*b for s.
3
Let g be (-2)/(-10) + 36/(-5). Let m(u) = u + 7. Let q be m(g). Suppose -14*v = 3 - 59. Solve q*o = -3*k - 3*o - 6, 2*k + v = o for k.
-2
Suppose -121 = 3*l - m, 3*m - 209 = 5*l + 5*m. Let r be (-28 + 1)*15/(-9). Let z = r + l. Solve z*a - 6 = 2*a - 3*h, -4*h + 4 = 4*a for a.
-3
Suppose 17*x - 6 = -5*u + 15*x, -3*x + 9 = 0. Solve u = 4*b - 2*q - 0*q - 10, -27 = -3*b - 5*q for b.
4
Let c(h) = 2*h**3 + 6*h**2 + 6*h + 18. Let o be c(-3). Suppose 5*i - i - 12 = 0. Let u = 8 - i. Solve -u*t = -w - w - 24, -5*w + 3*t - 22 = o for w.
-2
Suppose -3*v + 138*l = 133*l - 4, -4 = -2*v + 2*l. Solve 2*b + 45*z = 42*z + 2, v*b - 4*z = -31 for b.
-5
Let h(y) = 10*y**3 - 9*y - 9. Let r be h(-3). Let n = 269 + r. Solve 0 = o - 5*g - 15 - 7, -4*o - n = g for o.
-3
Suppose -1389*l + 216 = -1335*l. Solve l*v - 9 = -w - 18, 2*w = -v + 3 for w.
3
Let a(l) = -49*l - 675. Let p be a(-14). Solve -2*t + 4 = 7*h - p*h, -h = -t - 1 for t.
-4
Suppose 13*m = 12*m + 4. Suppose 4*j - 45 = -b, -b - j + 24 = -m*j. Let s be (10/3)/(22/b). Solve 4*g + 0*g - 20 = -s*p, 4 = p - 4*g for p.
4
Let q(u) = -19*u - 44. Let r be q(5). Let h = -134 - r. Solve 5*j = -3*c + 28, 2*j = -0*c - h*c + 15 for j.
5
Let n(f) = f**3 - 7*f**2 - 49*f + 57. Let g be n(11). Solve g*w = -3*h + 10*h + 31, -3*w = 4*h + 26 for h.
-5
Let g = -78 + -10. Let o = g - -100. Suppose 2*r = -5*v + o - 2, 4*v - 20 = -4*r. Solve 0 = -2*k + 4, -3*b - 4*k + 7 + 4 = v for b.
1
Let t be (-204)/(-153) + -3 + (-1336)/(-6). Solve -l + 12 = -2*g, 222*l + 2*g = t*l - 8 for l.
2
Let r = -77 - -96. Suppose -4*q + r - 19 = 0. Suppose 0*x = -4*x + 12. Solve -2*i + 9 = j, q = -2*i + 5*j - x*j for i.
3
Let y = -2721 - -2724. Solve y = -2*n + j, 3*n + 0*j + 9 = -3*j for n.
-2
Let s = -3307 + 3312. Solve 5*a = -4*n + 6 + 9, -s*a + 15 = -n for n.
0
Suppose -97*r = -33*r - 64. Solve 2*g + r = 13*n - 16*n, 0 = -3*n - 3*g for n.
-1
Suppose 0 = -z + 4*w - 5, w = 2 - 0. Let p be 3 - (4 + -1 - z). Let g be (-1)/p - (-28)/12. Solve -2*u = -4*u - m - 8, -5*u - g*m - 19 = 0 for u.
-3
Let g be 10/(-125) - (-5460)/2625. Suppose 3*x = 5*q + 11, -2*x - x = 3*q - 3. Solve -2*k = 2*o, 3*o - g*k - x*k = -21 for o.
-3
Let n be 152 + -148 + -2 + 0. Solve d = 5*a + 1, -4 = n*a + d + 2 for a.
-1
Let f(a) = -2*a**3 - a**2 - 3*a + 12. Let v be f(0). Suppose 53 + 163 = v*g. Solve -j = -5*k + g, -4*j + 2*j + 3*k - 15 = 0 for j.
-3
Suppose 0 = -3*x + q + 17, -5*x - 2*q + 5*q = -23. Suppose 2*l + x = 13. Solve -3*i = -l*y, 2*y - i = 2*i for y.
0
Let a = -29 - -46. Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
22/4 + (-8)/(-16).
2
Suppose -4*o = -6*o - 8. Let r(t) = -t**3 - t**2 + 6*t + 5. What is the remainder when r(o) is divided by 8?
5
Let w be 4/(-18) + 308/9. Let n = w - 18. What is the remainder when n is divided by (10 - (2 + 0)) + -2?
4
Let n be ((-55)/(-15))/(1/3). Suppose -n*o + 16*o = 110. Calculate the remainder when 87 is divided by o.
21
Let o = 34 - 16. What is the remainder when 71 is divided by o?
17
Suppose 2*x + x + 39 = 3*w, 0 = 4*w - 2*x - 46. Calculate the remainder when (-2)/w + (-162)/(-10) is divided by 6.
4
Calculate the remainder when (-1 - (-1 + 1))*-17 is divided by 6.
5
Let t(n) = 39*n. Let x be 3*((-2)/6)/(-1). Calculate the remainder when t(x) is divided by 14.
11
Let k(z) = -9*z + 14. Let r(f) = 3*f - 5. Let x(v) = 3*k(v) + 8*r(v). Calculate the remainder when x(-2) is divided by 3.
2
Let o(a) = a**2 + 3*a + 3. Suppose 3*v - 16 = -2*m, 2*m - 10 = m - 2*v. Let p be m/(-4) + (-13)/2. What is the remainder when o(p) is divided by 11?
9
Let n = 12 + 0. Suppose 5*s + 24 + 80 = -4*r, -84 = 4*s + 4*r. Calculate the remainder when 3 + -5 + 4 - s is divided by n.
10
Suppose 5*g - 237 = 4*l, -2*g - l + 132 = g. Calculate the remainder when g is divided by 23.
22
Let g(h) = 3*h**3 + h**2 + 4*h - 2. Let i be g(3). Let d = 11 + -7. Calculate the remainder when 1/(-7) + i/14 is divided by d.
3
What is the remainder when -1 - (-22 - (-1 + 4)) is divided by 1*(6*2 + 1)?
11
Let n(x) = -4*x - 4. Let c be n(-5). Let j = 57 - c. What is the remainder when j is divided by 14?
13
Let b = 32 - 27. What is the remainder when 8 is divided by b?
3
Let v(r) = -r**2 - 6*r + 5. Let s be v(-5). Suppose -d + 2*d - s = 0. What is the remainder when 0 + -1*29*-1 is divided by d?
9
Let c(k) be the first derivative of k**4/4 + 8*k**3/3 - 3*k**2/2 - 7*k + 1. Let h be c(-7). Let j = -38 + h. Calculate the remainder when j is divided by 9.
7
Suppose 4*i - 2*p - 38 = 0, -5*p = i - 0*i + 7. Calculate the remainder when 15 is divided by i.
7
Suppose 3*x = 3*m + 45, -5*x + 2*m = 7*m - 35. Let c be 32/3*12/8. Suppose v - c = 4*a, 0*v + 2*a = -v - 2. What is the remainder when x is divided by v?
3
Let q = 13 + -7. Calculate the remainder when 10 is divided by q.
4
Let x = 10 - 6. Suppose 0 = -b + 3*b. Suppose b = 3*w + 2*w - 10. What is the remainder when x is divided by w?
0
Let b(h) = -h**3 + 8*h**2 + 10*h + 6. Let o be b(9). Let p = o + -8. Calculate the remainder when 27 is divided by p.
6
Let k = -16 - -57. What is the remainder when k is divided by 11?
8
Let j = 11 + 34. Calculate the remainder when 88 is divided by j.
43
Suppose 0*z = 4*z - 4*u - 16, -4*u = -2*z + 10. Suppose 0 = -z*q + 5 + 1. Calculate the remainder when 6 is divided by q.
0
Let s = 0 - -1. Let j be s*(8 + -2) + 3. Suppose 2*b - j = 79. Calculate the remainder when b is divided by 23.
21
Let s be (14/(-3))/((-4)/12). Suppose -4*z + s + 6 = 0. Suppose -l + 2*l + g = 9, -z*g + 35 = 3*l. What is the remainder when l is divided by 3?
2
Let u(b) = b**3 + 9*b**2 - 8*b - 17. Calculate the remainder when u(-9) is divided by 29.
26
What is the remainder when (3 - -1)*(1 + 6) is divided by 24?
4
Let d = 69 - 38. What is the remainder when 89 is divided by d?
27
Suppose -5*j + 4*j = -12. Calculate the remainder when 58 is divided by j.
10
Suppose c - 5 + 3 = 0. Suppose -2*m + 26 + c = 0. What is the remainder when 26 is divided by m?
12
Let w = 77 - 43. Suppose -3*s + 1 = -35. What is the remainder when w is divided by s?
10
Let i be 4 - (-1 - -1)/2. Suppose i*q = -0*q - 4*z + 32, 0 = -2*z. Calculate the remainder when q is divided by 3.
2
Suppose -27 = -4*x - 83. Calculate the remainder when 14/(-49) + (-116)/x is divided by 2.
0
Suppose -96 - 8 = -8*r. What is the remainder when 17 is divided by r?
4
Suppose 31 = -4*x + 175. Suppose -h - 21 = -0*h. Let n = x + h. What is the remainder when n is divided by 8?
7
Suppose -7*b = -42 - 14. What is the remainder when 21 is divided by b?
5
Let m be (-1)/(-2) + 204/(-24). Calculate the remainder when 45 is divided by -1 + 12 - (-9 - m).
9
Let h(o) = o**3 - 3*o**2 - 2*o - 1. Let q be h(5). Let z = q + -26. What is the remainder when 37 is divided by z?
11
Let d be 3/(-6 - -3) - -53. Suppose l + d = 4*l - 2*u, -4*l + 68 = -3*u. Calculate the remainder when l is divided by 7.
6
Let t(y) = -3*y + 26. What is the remainder when 8 is divided by t(7)?
3
Suppose 2*g - 3 = g. Suppose y - a = 5*y - 53, -10 = -y + g*a. Calculate the remainder when ((-6)/(-4))/((-1)/(-16)) is divided by y.
11
Suppose 4*a = 3*v - 29 - 4, -2*a + 3*v - 9 = 0. What is the remainder when 28 is divided by 18/a*(-48)/9?
4
Let h = -7 + 56. What is the remainder when h is divided by 17?
15
Let s(h) = h**2 + h**2 + 6*h - h**2. Let z be s(-6). Suppose l - 2*b = 18, z = 5*l + 3*b - 2*b - 46. Calculate the remainder when 19 is divided by l.
9
Let z(m) = m + 1. Let v be z(-1). Let f(d) = d + 9. Let w = 38 + -13. Calculate the remainder when w is divided by f(v).
7
Suppose 2*d + 6 + 13 = a, 0 = -2*a - 2*d + 50. What is the remainder when 68 is divided by a?
22
Suppose -2*z + 3*z - 2 = 0. What is the remainder when 5 is divided by z?
1
Let f = -32 - -45. Suppose 0 = -4*y + y - 2*n + 6, -3*n + 10 = 5*y. Suppose -3*m - 2 = -0*o - o, y*o - 3*m = 10. What is the remainder when f is divided by o?
5
Let p(d) = -2*d - 16. Let u be p(-12). Suppose v - u = 43. Calculate the remainder when v is divided by 18.
15
Suppose 0*u = 5*u - 60. What is the remainder when 24/(-14)*(-126)/u is divided by 7?
4
Suppose -t = 64 - 235. Suppose p = -2*p - 2*f + t, -52 = -p + f. Suppose 0 = -5*s + 2*j + 77, 2*s + j - p = -s. What is the remainder when 33 is divided by s?
16
Let f = 18 - 9. Let p = 28 + f. Let c = 25 + -12. Calculate the remainder when p is divided by c.
11
Let p(f) = 9*f**2 - 3*f + 2. What is the remainder when p(2) is divided by ((-2)/(-2))/(3/51)?
15
Let c(m) = m**3 + 4*m**2 + 2*m - 1. Suppose -1 - 5 = -i + l, -3*i - 5*l = 14. Suppose 0 = -i*s - 3 - 1. Calculate the remainder when 7 is divided by c(s).
1
Suppose 1 - 7 = -2*c, 2*n = -3*c + 29. Let f = 220 + -182. What is the remainder when f is divided by n?
8
Let g(r) = -54*r**2. Let x be g(-1). Let t = -28 - x. What is the remainder when t is divided by 9 + (-1 - -1)/2?
8
Suppose -4*u = -22 + 6. Suppose s - 2 + 3 = -u*y, -3*y - 18 = -5*s. What is the remainder when 7 is divided by s?
1
Let v(n) = n**2 - 4*n - 16. What is the remainder when 16 is divided by v(7)?
1
Let g = -160 - -162. What is the remainder when 6 is divided by g?
0
Let d be ((-6)/(-4))/((-3)/4). Suppose -88 = 4*t - 12*t. Calculate the remainder when t is divided by 1 - (d + 2) - -2.
2
Suppose 0 = b + 2*b - 9. Let j(i) = 2*i + 5. Let h(p) = -3*p - 5. Let o(a) = b*h(a) + 4*j(a). Calculate the remainder when o(-8) is divided by 5.
3
Let w(c) = -3*c + 63. Calculate the remainder when w(0) is divided by 11.
8
Let o(f) = -5*f + 1. Let t be o(2). What is the remainder when 26 is divided by (-66)/t - (-5)/(-15)?
5
Suppose 0 = -5*o + 21 + 4. Calculate the remainder when 210/12 + 12/8 + -2 is divided by o.
2
Suppose 2*l + 93 + 68 = 5*k, 3*k = 2*l + 95. Suppose -5*x + k = 3. Suppose 3*r = r + x. Calculate the remainder when 4 is divided by r.
1
Suppose 6*n = -0*n + 642. Calculate the remainder when n is divided by 22.
19
What is the remainder when 4/(-10)*(13 - 43) is divided by (-2)/(-4)*(0 + 14)?
5
Suppose p + 5*q - 26 = 1, -5*p + 15 = q. What is the remainder when 10 is divided by p?
0
Let m(d) = d**3 - 2*d**2 - 5*d - 2. Calculate the remainder when m(4) is divided by 36/(-20)*(-10)/3.
4
Let w = -22 - -34. Suppose 0 = t - 2, 0*t + t = -5*d + w. Let h = -2 + 4. Calculate the remainder when h is divided by d.
0
Suppose 2*v + 2*v = n + 19, n + 23 = 5*v. Suppose 8*u = 9*u - v. Suppose 7 = -3*l + 5*r, 0*l - 3*l - r = -23. Calculate the remainder when l is divided by u.
2
Let f = 163 - 101. What is the remainder when f is divided by (-7)/(140/(-64))*(11 - 1)?
30
Suppose 3*g = -2*g. Suppose g*s - 2*s + 20 = 0. Let h = 9 + -5. Calculate the remainder when s is divided by h.
2
Suppose -3*w - w + 120 = 0. What is the remainder when 53 is divided by w?
23
Suppose 4*q - 7*s - 20 = -3*s, 2*q - 3*s = 14. Calculate the remainder when 1 is divided by q.
0
Suppose 282 = 5*d - 6*y + 2*y, 5*y = 2*d - 106. L
|
{
"pile_set_name": "DM Mathematics"
}
|
e smallest common multiple of 64539576 and 861?
451777032
What is the common denominator of 7/1020 and 57/119614?
61003140
Calculate the smallest common multiple of 147 and 151459.
454377
Calculate the common denominator of -163/702 and 163/2920866.
26287794
What is the common denominator of -23/2455770 and 77/270?
22101930
Find the common denominator of -89/13564502 and 57/49.
94951514
What is the lowest common multiple of 2180 and 4613098?
46130980
Calculate the smallest common multiple of 57603146 and 1302.
1209666066
What is the common denominator of -167/17827260 and 31/1134462?
124790820
Calculate the least common multiple of 6823832 and 24.
20471496
What is the common denominator of 151/10716288 and 133/8514?
32148864
Calculate the common denominator of 55/21 and -79/4589823.
4589823
Calculate the common denominator of -101/22016730 and 26/2135.
154117110
Calculate the common denominator of -11/14352 and -137/229452.
274424592
Calculate the lowest common multiple of 4 and 322145666.
644291332
Calculate the lowest common multiple of 1001768 and 84.
21037128
Calculate the common denominator of -103/51920 and -53/4446948.
88938960
Calculate the common denominator of 113/29550 and -1/19074525.
38149050
Calculate the smallest common multiple of 18 and 3203523.
6407046
What is the smallest common multiple of 1229908 and 190?
6149540
Calculate the common denominator of 25/1890628 and 1/10.
9453140
Calculate the common denominator of -79/21588 and -151/4986828.
4986828
Calculate the common denominator of 191/2100 and -173/6988200.
48917400
Find the common denominator of -65/30626046 and 125/12992868.
428764644
What is the lowest common multiple of 2562912 and 72?
2562912
What is the lowest common multiple of 815226 and 996?
1630452
What is the common denominator of -21/655484 and 87/184?
30152264
What is the common denominator of 50/494543 and -22/71603?
95446799
Calculate the common denominator of 7/39780 and 79/122310.
54061020
What is the common denominator of -37/3163420 and -93/4784?
12653680
Find the common denominator of -69/25624 and 97/6.
76872
What is the lowest common multiple of 5713812 and 3152448?
91420992
What is the least common multiple of 20 and 279235548?
1396177740
Calculate the common denominator of 53/9513 and 89/887880.
2663640
Calculate the common denominator of -31/145908 and 8/1617147.
19405764
Calculate the common denominator of 155/5423238 and 41/122544.
997875792
Calculate the common denominator of -30/5096273 and -3/43225.
2420729675
Calculate the smallest common multiple of 1938 and 9588.
182172
What is the least common multiple of 365568 and 21504?
365568
Calculate the lowest common multiple of 818013 and 15.
4090065
Calculate the common denominator of -29/896 and -1/27796.
6226304
What is the least common multiple of 810 and 905730?
24454710
Calculate the smallest common multiple of 770 and 253704.
8879640
What is the smallest common multiple of 2065195 and 20?
8260780
What is the common denominator of 139/49205808 and -167/246029040?
246029040
What is the common denominator of 65/29556408 and -43/462?
325120488
What is the smallest common multiple of 286 and 1168934?
12858274
What is the common denominator of 36/2765 and -72/74095?
5853505
Find the common denominator of 89/91424832 and -64/27.
822823488
What is the least common multiple of 13848 and 6072?
3503544
Calculate the least common multiple of 464800 and 1008.
4183200
What is the lowest common multiple of 46029183 and 22013?
46029183
What is the least common multiple of 314280 and 1940?
314280
Calculate the common denominator of -109/792 and -133/55152.
606672
Calculate the common denominator of -33/2822 and 111/244850.
4162450
Find the common denominator of 41/71907 and 25/43203033.
475233363
Find the common denominator of 57/1562 and 43/5425376.
385201696
Find the common denominator of -39/1856 and 65/4765512.
38124096
What is the least common multiple of 153 and 14720895?
14720895
Find the common denominator of -107/10386 and -121/284472.
164140344
Find the common denominator of 42/79 and -20/6241.
6241
Calculate the common denominator of -43/7787505 and -97/18.
46725030
What is the common denominator of 43/3000 and 7/30804?
7701000
Find the common denominator of -5/1152 and -19/21913728.
65741184
Find the common denominator of -17/24273 and 68/5401395.
502329735
Calculate the common denominator of 103/896 and -48/141211.
18075008
Calculate the common denominator of -59/120 and -63/4789696.
71845440
What is the common denominator of -131/6204924 and -37/14256?
24819696
What is the common denominator of 83/8984 and -31/7527469?
60219752
What is the lowest common multiple of 18195 and 5091?
30876915
Calculate the lowest common multiple of 202578 and 1114179.
2228358
What is the common denominator of -46/41316783 and 61/66?
908969226
What is the common denominator of -2/1477241 and 19/47271712?
47271712
Calculate the smallest common multiple of 22104 and 630.
773640
Find the common denominator of -101/6072 and 86/3209811.
25678488
Calculate the common denominator of 33/364 and -67/3678.
669396
What is the lowest common multiple of 22802928 and 214112?
45605856
What is the common denominator of 137/540260 and -169/4538184?
22690920
What is the least common multiple of 95342366 and 108962704?
762738928
Find the common denominator of 73/118660256 and -63/2080.
593301280
What is the smallest common multiple of 227892 and 963?
73153332
What is the smallest common multiple of 22448714 and 2123527?
157140998
What is the smallest common multiple of 128216 and 177848?
5513288
Calculate the common denominator of -33/925294 and 6/5089117.
10178234
Calculate the common denominator of -29/105075 and 163/168120.
840600
Find the common denominator of 76/2236143 and 137/1428.
152057724
What is the lowest common multiple of 12 and 2082462?
4164924
What is the least common multiple of 690 and 3848290?
265532010
Find the common denominator of 69/7272698 and -54/5941.
94545074
What is the smallest common multiple of 20 and 10236526?
102365260
Calculate the common denominator of 35/12 and -41/67168208.
201504624
Calculate the least common multiple of 192 and 115392.
115392
Calculate the least common multiple of 26 and 112458794.
1461964322
What is the common denominator of -40/4991 and -137/14196140?
326511220
Calculate the common denominator of -73/1224 and -53/958320.
16291440
What is the common denominator of 9/1161293 and 60/1868167?
42967841
What is the lowest common multiple of 165277164 and 2?
165277164
What is the lowest common multiple of 31801161 and 16657751?
349812771
Calculate the common denominator of 64/441 and 57/618625.
5567625
Calculate the common denominator of 65/194 and -67/956296.
92760712
Calculate the lowest common multiple of 18576 and 528255.
8452080
What is the lowest common multiple of 1900472 and 71742818?
286971272
Calculate the smallest common multiple of 10100079 and 325809.
10100079
What is the common denominator of 19/458762 and 23/374?
5046382
What is the common denominator of -43/33811915 and 38/33811915?
33811915
Calculate the lowest common multiple of 9601254 and 306.
163221318
What is the lowest common multiple of 8826112 and 1656?
79435008
Calculate the least common multiple of 57780 and 644.
9302580
Calculate the smallest common multiple of 16014 and 2512.
128112
Calculate the common denominator of 60/161 and -131/47540052.
1093421196
What is the common denominator of 37/3642432 and -103/11712?
3642432
Calculate the common denominator of 157/213192 and 57/3008.
1705536
What is the common denominator of -1/60 and -69/7221590?
43329540
Find the common denominator of -133/154649700 and 31/12420.
463949100
Find the common denominator of -53/73435 and -49/1612.
118377220
Calculate the common denominator of -41/3634 and 58/37917393.
1744200078
What is the common denominator of -117/120190 and 11/35350?
600950
Calculate the common denominator of 38/12089 and -67/6866552.
6866552
Calculate the common denominator of -117/12506020 and 89/460.
12506020
What is the lowest common multiple of 5159871 and 3015?
25799355
What is the least common multiple of 8804 and 1211047?
150169828
Calculate the smallest common multiple of 22165926 and 52155
|
{
"pile_set_name": "DM Mathematics"
}
|
ve -2*f**2/17 + 740808*f/17 = 0 for f.
0, 370404
Determine t, given that 32*t**2/13 - 74*t + 986/13 = 0.
17/16, 29
Let -3*w**2 - 122145*w - 122142 = 0. What is w?
-40714, -1
Factor -2*s**2 - 24380*s - 632528.
-2*(s + 26)*(s + 12164)
What is l in 5*l**2 - 327*l - 674 = 0?
-2, 337/5
Solve -5*r**3 - 4955*r**2 - 1249595*r - 10848645 = 0 for r.
-491, -9
Solve -y**4/4 - 14625*y**3/4 + 43893*y**2/4 + 131657*y/4 + 18285 = 0.
-14628, -1, 5
Factor -5*s**3 - 8845*s**2 + 178400*s - 894500.
-5*(s - 10)**2*(s + 1789)
Find r such that -3*r**4 - 21*r**3 - 39*r**2 + 9*r + 54 = 0.
-3, -2, 1
Solve 3*m**2/2 + 2223*m - 1376805/2 = 0.
-1745, 263
Determine m, given that 1471813245*m**2 - 171570*m + 5 = 0.
1/17157
Determine j, given that 4*j**4/5 - 98334*j**3/5 + 442422*j**2/5 + 54*j/5 - 1327266/5 = 0.
-3/2, 3, 24579
Solve 4*b**2 - 5344*b - 97488 = 0.
-18, 1354
Factor 2*g**3/9 + 226*g**2/3 - 10028*g/9 - 5648.
2*(g - 18)*(g + 4)*(g + 353)/9
Factor -3*r**4/2 - 2037*r**3 - 1859223*r**2/2 - 161635950*r - 9444633750.
-3*(r + 150)**2*(r + 529)**2/2
Find z such that -z**2/6 - 92*z/3 + 579/2 = 0.
-193, 9
Let 3*y**2/7 - 2682*y/7 + 597699/7 = 0. What is y?
423, 471
Factor -a**3/5 - 433*a**2 + 4333*a/5 - 2167/5.
-(a - 1)**2*(a + 2167)/5
Determine a so that a**4/2 - 87*a**3/2 + 1057*a**2/2 - 2577*a/2 + 803 = 0.
1, 2, 11, 73
Determine x so that -x**2 + 1778*x + 140904 = 0.
-76, 1854
Let p**2/3 - 31438*p/3 = 0. Calculate p.
0, 31438
Suppose -i**2/3 + 1926*i - 23096/3 = 0. What is i?
4, 5774
Find m, given that -3*m**4 + 39798*m**3 + 2154924*m**2 + 38823624*m + 233046720 = 0.
-18, 13320
Factor o**3/4 + 193*o**2/2 + 34257*o/4 + 220932.
(o + 57)**2*(o + 272)/4
Suppose -5*w**3 + 440285*w**2 - 9692764200*w + 9692323920 = 0. What is w?
1, 44028
Suppose -3*c**3 - 621*c**2 - 612*c + 1236 = 0. What is c?
-206, -2, 1
Suppose -3*g**2/7 + 4887*g/7 = 0. What is g?
0, 1629
Determine x, given that x**2/4 - 62*x + 3495/4 = 0.
15, 233
Let -y**4/4 - 1845*y**3/4 - 1841*y**2/2 + 1845*y + 3686 = 0. Calculate y.
-1843, -2, 2
Find o, given that 2*o**2/15 + 2048*o/15 + 1218 = 0.
-1015, -9
Determine u, given that -u**3 + 33703*u**2 - 101102*u + 67400 = 0.
1, 2, 33700
Find o, given that -o**2/4 + 1972*o + 7889/4 = 0.
-1, 7889
Factor p**3 + 229*p**2 + 3620*p + 3392.
(p + 1)*(p + 16)*(p + 212)
Solve -12*t**5/5 + 4516*t**4/5 - 53872*t**3/5 - 592*t**2/5 + 43136*t - 69888/5 = 0 for t.
-2, 1/3, 2, 12, 364
Factor -a**2/4 - 173*a/4 + 1309/2.
-(a - 14)*(a + 187)/4
Factor 14*h**3 + 22836*h**2 + 26056*h - 39120.
2*(h + 2)*(h + 1630)*(7*h - 6)
Suppose 3*r**2/7 + 600*r/7 + 5157/7 = 0. What is r?
-191, -9
Let 5*x**4 - 7260*x**3 - 73155*x**2 + 80410*x = 0. Calculate x.
-11, 0, 1, 1462
Factor 3*v**2 - 234*v - 91560.
3*(v - 218)*(v + 140)
Factor 3*c**4 + 15*c**3 - 1392*c**2 + 2700*c.
3*c*(c - 18)*(c - 2)*(c + 25)
Find c such that 4*c**2/7 + 78136*c + 2671040092 = 0.
-68369
Factor 5*t**2 - 45165*t - 587990.
5*(t - 9046)*(t + 13)
Determine y, given that -2*y**2/9 + 37500*y - 1582031250 = 0.
84375
Determine l so that 4*l**3 + 324*l**2 + 6536*l = 0.
-43, -38, 0
Factor x**2/4 + 12143*x/2 + 147452449/4.
(x + 12143)**2/4
Factor 3*i**3/5 - 234*i**2/5 + 6048*i/5 - 10368.
3*(i - 30)*(i - 24)**2/5
Factor -2*c**4/7 + 11576*c**3/7 - 16762044*c**2/7 + 33489368*c/7 - 16738898/7.
-2*(c - 2893)**2*(c - 1)**2/7
Factor -4*x**2 - 136260*x - 544976.
-4*(x + 4)*(x + 34061)
Factor l**3 - 153084*l**2 + 153081*l + 306166.
(l - 153083)*(l - 2)*(l + 1)
Let -g**2/3 - 10156*g/3 = 0. Calculate g.
-10156, 0
Factor 4*d**4/3 - 956*d**3 + 231280*d**2 - 58592192*d/3 + 157731072.
4*(d - 236)**3*(d - 9)/3
Determine o, given that 5*o**5 - 767*o**4 - 5254*o**3 - 4256*o**2 + 15392*o - 5120 = 0.
-4, 2/5, 1, 160
Suppose -3*b**3 + 3591*b**2 - 35658*b + 56976 = 0. Calculate b.
2, 8, 1187
Solve -2*h**5/9 - 398*h**4/9 - 3908*h**3/9 + 106612*h**2/9 - 348026*h/9 - 458150/9 = 0.
-187, -25, -1, 7
Factor -4*m**2 + 146880*m + 293776.
-4*(m - 36722)*(m + 2)
Let -f**2 + 5467*f - 5466 = 0. Calculate f.
1, 5466
Determine r so that 255*r**4/2 + 1467*r**3 - 16923*r**2/2 - 189*r + 9612 = 0.
-267/17, -1, 6/5, 4
Factor 5*t**3 - 265*t**2 - 149345*t + 13098925.
5*(t - 119)**2*(t + 185)
Factor -254*v**2/11 + 13474*v/11 - 636/11.
-2*(v - 53)*(127*v - 6)/11
Solve 5*g**2 + 1585*g + 26910 = 0 for g.
-299, -18
Determine i, given that -2*i**2 + 1413316*i + 1413318 = 0.
-1, 706659
Let -14*q**5/15 + 4192*q**4/15 - 20708*q**3/15 + 9632*q**2/5 - 4122*q/5 = 0. Calculate q.
0, 1, 3, 2061/7
Factor 5*c**2 + 68070*c - 340475.
5*(c - 5)*(c + 13619)
Suppose 17982*w**5 - 14310*w**4 + 6543*w**3/2 - 231*w**2 = 0. Calculate w.
0, 1/6, 154/333
Solve -2*w**3/13 + 39324*w**2/13 - 192626880*w/13 - 6594851072/13 = 0.
-34, 9848
Suppose -c**3 - 47334*c**2 + 94671*c - 47336 = 0. Calculate c.
-47336, 1
Factor 4*t**3/5 - 110668*t**2/5 + 765407552*t/5 + 765518224/5.
4*(t - 13834)**2*(t + 1)/5
Factor -3*b**2/7 - 287604*b/7.
-3*b*(b + 95868)/7
Suppose -9*u**5 - 3486*u**4 + 27450*u**3 + 77172*u**2 + 58095*u + 11850 = 0. What is u?
-395, -1, -1/3, 10
Factor 277*f**3/3 + 5257*f**2/3 + 1624*f - 36.
(f + 1)*(f + 18)*(277*f - 6)/3
Let f**2 + 4614*f - 18472 = 0. Calculate f.
-4618, 4
Suppose -2*m**5/5 - 18*m**4/5 + 2*m**3/5 + 162*m**2/5 + 144*m/5 = 0. Calculate m.
-8, -3, -1, 0, 3
Factor -3*n**2 - 157290*n - 2061678675.
-3*(n + 26215)**2
Find b such that -4*b**5/3 - 4*b**4 + 56*b**3 - 392*b**2/3 + 116*b - 36 = 0.
-9, 1, 3
Find x such that 5*x**2 + 2861110*x + 409297521605 = 0.
-286111
Let a**2/4 - 14475*a/2 + 209525625/4 = 0. What is a?
14475
Factor -u**2/2 - 70*u + 53181/2.
-(u - 171)*(u + 311)/2
Find v, given that 5*v**4 - 1220*v**3 + 45755*v**2 - 42120*v - 89100 = 0.
-1, 2, 45, 198
Factor 2*t**2/9 + 1054*t/9 - 5792/3.
2*(t - 16)*(t + 543)/9
Factor 4*d**3/5 + 604*d**2 + 270208*d/5 + 1032768/5.
4*(d + 4)*(d + 99)*(d + 652)/5
Solve -5*d**5 + 4280*d**4 - 1269800*d**3 + 143382330*d**2 - 3842342595*d + 7121245950 = 0 for d.
2, 35, 273
Factor 3*t**2 - 2676*t + 111936.
3*(t - 848)*(t - 44)
Find i, given that 22*i**4/3 - 172*i**3 - 158*i**2/3 + 2788*i + 12880/3 = 0.
-28/11, -2, 5, 23
Factor -3*a**2/8 + 55413*a/8.
-3*a*(a - 18471)/8
Factor 4*b**2 - 1784*b + 3552.
4*(b - 444)*(b - 2)
Let i**2/5 - 491*i/5 - 46332/5 = 0. Calculate i.
-81, 572
Factor o**4/3 - 56*o**3/3 + 53*o**2 + 4*o/3 - 212/3.
(o - 53)*(o - 2)**2*(o + 1)/3
Determine b so that -4*b**2 + 444*b - 4040 = 0.
10, 101
Let -2*n**3 - 334*n**2 - 16112*n - 173280 = 0. Calculate n.
-76, -15
Determine p, given that 6*p**2/11 + 88008*p/11 - 88014/11 = 0.
-14669, 1
Factor 1732*x**2 + 13840*x - 128.
4*(x + 8)*(433*x - 4)
Suppose 81*z**2/7 - 2071*z - 358/7 = 0. Calculate z.
-2/81, 179
Factor 3*p**2 - 37176*p.
3*p*(p - 12392)
Solve -n**3/2 + 14083*n**2/2 - 49702211*n/2 + 840872513/2 = 0 for n.
17, 7033
Find x such that -3963*x**4/4 - 431973*x**3/4 - 327*x**2/2 = 0.
-109, -2/1321, 0
Factor 3*n**4 + 9450*n**3 - 18909*n**2 + 9456*n.
3*n*(n - 1)**2*(n + 3152)
Determine g so that 2*g**4/3 + 8*g**3/3 - 6374*g**2/3 - 6380*g/3 = 0.
-58, -1, 0, 55
Factor -5*g**3 - 6465*g**2 + 32450*g.
-5*g*(g - 5)*(g + 1298)
Solve 14*v**2 - 133346*v/15 - 508/3 = 0 for v.
-2/105, 635
Let -49*g**5/5 + 854*g**4/5 + 1137*g**3/5 - 24554*g**2/5 - 14228*g/5 - 408 = 0. Calculate g.
-5, -2/7, 6, 17
Determine l, given that -l**2 - 13029*l - 169754841/4 = 0.
-13029/2
Factor 4*b**3 + 1720*b**2 - 54300*b + 414000.
4*(b - 15)**2*(b + 460)
Factor 2*r**3/13 + 3506*r**2/13 + 14000*r/13 + 13992/13.
2*(r + 2)**2*(r + 1749)/13
Suppose -2*i**2/11 + 446*i/11 + 4976 = 0. What is i?
-88, 311
Factor 2*b**3/7 + 50*b**2/7 - 508*b/7 - 6240/7.
2*(b - 13)*(b + 8)*(b + 30)/7
Factor t**2 - 6963*t + 352512.
(t - 6912)*(t - 51)
Factor -u**5 + 29*u**4 - 224*u**3 + 196*u**2.
-u**2*(u - 14)**2*(u - 1)
Factor g**2 + 283*g + 7366.
(g + 29)*(g + 254)
Solve -17*w**5 + 367*w**4 + 2449*w**3 + 945*w**2 = 0.
-5, -7/17, 0, 27
Determine m, given that m**5 - 2*m**4 - 61*m**3 + 62*m**2 + 840*m = 0.
-6, -4, 0, 5, 7
Factor 2*g**2 + 148*g - 3094.
2*(g - 17)*(g + 91)
Solve 4*d**2 + 11992*d = 0.
-2998, 0
Find t such that 2*t**5/5 - 5698*t**4/5 + 4263932*t**3/5 - 289381052*t**2/5 + 113198618*t - 280870274/5 = 0.
1, 73, 1387
Let 2*w**2/5 + 5284*w/5 - 274686/5 = 0. What is w?
-2693, 51
Factor -3*g**4/4 + 540*g**3 - 288351*g**2/2 + 16870026*g - 2907941031/4.
-3*(g
|
{
"pile_set_name": "DM Mathematics"
}
|
5, 1298, 1331, 1374, 1427, 1490?
1563
What comes next: -466, -3823, -12940, -30697, -59974, -103651?
-164608
What is the next term in -24452, -48901, -73350, -97799, -122248, -146697?
-171146
What is next in -17006, -17014, -17024, -17036?
-17050
What is the next term in -3656, -7313, -10970, -14627?
-18284
What is next in -22573, -22544, -22477, -22354, -22157, -21868, -21469?
-20942
What comes next: -419, -786, -1185, -1616?
-2079
What is the next term in 1637, 3221, 4695, 6005, 7097, 7917, 8411, 8525?
8205
What comes next: 4197, 4184, 4169, 4152?
4133
What is next in -9983, -19959, -29935, -39911, -49887, -59863?
-69839
What is the next term in -43, -458, -1223, -2338, -3803, -5618?
-7783
What is the next term in 25233, 25223, 25199, 25155, 25085, 24983, 24843?
24659
What is the next term in 451527, 451532, 451537?
451542
What is the next term in -14849, -14838, -14819, -14792, -14757, -14714, -14663?
-14604
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11798
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49018
What comes next: 1321, 1320, 1323, 1330?
1341
What is next in 645, 2562, 5749, 10200, 15909?
22870
What comes next: 14549, 29109, 43667, 58223, 72777?
87329
What comes next: 11681, 23507, 35333?
47159
What comes next: -521, -2280, -5213, -9320, -14601, -21056?
-28685
What is next in -28431, -28415, -28387, -28341, -28271, -28171, -28035, -27857?
-27631
What is the next term in -23520, -23458, -23288, -22956, -22408, -21590?
-20448
What is next in 110, 1016, 2538, 4682, 7454, 10860, 14906?
19598
What is the next term in -1869, -1864, -1805, -1686, -1501, -1244?
-909
What comes next: -1105, -4418, -9935, -17656, -27581, -39710, -54043?
-70580
What is the next term in 13901624, 13901625, 13901626, 13901627, 13901628?
13901629
What is the next term in 1263, 2515, 3751, 4965, 6151, 7303?
8415
What comes next: 3717, 7494, 11269, 15042?
18813
What is the next term in -11856, -23723, -35602, -47499, -59420, -71371?
-83358
What comes next: -972, -1022, -1072, -1122, -1172?
-1222
What is the next term in -7480, -7528, -7606, -7726, -7900, -8140, -8458?
-8866
What comes next: 3933, 3859, 3771, 3675, 3577, 3483?
3399
What comes next: -284, -1102, -2456, -4352, -6796?
-9794
What is next in 39, 185, 391, 657, 983, 1369?
1815
What is the next term in 3347, 3347, 3345, 3341, 3335, 3327?
3317
What comes next: -43597, -43599, -43601, -43603, -43605, -43607?
-43609
What is next in 50017, 100033, 150049, 200065, 250081, 300097?
350113
What is next in 1, -18, -89, -212, -387, -614?
-893
What comes next: -6, 130, 542, 1368, 2746, 4814?
7710
What is the next term in 51271, 51272, 51273, 51274, 51275?
51276
What comes next: 73, 54, 35, 16?
-3
What comes next: 727, 652, 471, 130, -425, -1248, -2393, -3914?
-5865
What is next in -92304, -92336, -92368, -92400, -92432?
-92464
What is next in 2976, 3018, 3132, 3354, 3720?
4266
What is the next term in -174, -153, 242, 1197, 2898?
5531
What is the next term in -530, -1010, -1502, -2012, -2546, -3110, -3710, -4352?
-5042
What is next in 96364, 385484, 867350, 1541962?
2409320
What is the next term in -3883, -7764, -11643, -15520, -19395?
-23268
What is next in -489, -549, -631, -747, -909, -1129?
-1419
What is the next term in -10437, -20872, -31307, -41742?
-52177
What is next in -94, -360, -796, -1402, -2178?
-3124
What comes next: 990, 2155, 3496, 5007, 6682, 8515, 10500?
12631
What is the next term in -211208, -211206, -211204?
-211202
What comes next: 544, 2035, 4526, 8023, 12532, 18059, 24610?
32191
What is next in -168, -240, -348, -510, -744, -1068?
-1500
What is the next term in -7191, -14360, -21519, -28668, -35807, -42936?
-50055
What comes next: -109742, -219496, -329250?
-439004
What is next in 5174, 10345, 15516, 20687, 25858, 31029?
36200
What is next in -10696, -10703, -10710, -10717?
-10724
What comes next: 1275, 4704, 10419, 18420, 28707, 41280?
56139
What is the next term in 127420, 127416, 127412, 127408, 127404?
127400
What comes next: -2205, -2256, -2307?
-2358
What comes next: -117577, -117581, -117577, -117559, -117521, -117457, -117361?
-117227
What is next in -83156, -332594, -748316, -1330316, -2078588?
-2993126
What is the next term in -2247601, -4495203, -6742805, -8990407, -11238009, -13485611?
-15733213
What is the next term in 2302, 2976, 3616, 4204, 4722, 5152, 5476?
5676
What is the next term in -988, -992, -1008, -1048, -1124?
-1248
What comes next: -4257, -4235, -4199, -4149, -4085, -4007, -3915?
-3809
What is the next term in 19, -41, -173, -401, -749, -1241, -1901?
-2753
What comes next: -290, -644, -1012, -1400, -1814, -2260?
-2744
What is the next term in -68, 389, 1832, 4753, 9644, 16997, 27304, 41057?
58748
What is the next term in -145, -273, -383, -463, -501?
-485
What comes next: -3451250, -6902499, -10353748, -13804997?
-17256246
What is the next term in -4015, -8028, -12039, -16048, -20055?
-24060
What is the next term in 676, 2736, 6170, 10978?
17160
What comes next: 28176, 56348, 84508, 112650, 140768, 168856?
196908
What comes next: 32477, 32478, 32479, 32480, 32481?
32482
What comes next: -592086, -1184173, -1776260?
-2368347
What is the next term in 167882, 167888, 167894?
167900
What is next in 85, 613, 2045, 4837, 9445?
16325
What is the next term in 2437, 2814, 3191, 3568, 3945?
4322
What is next in 477, 618, 847, 1164, 1569, 2062, 2643?
3312
What is the next term in 32364, 32375, 32386, 32397?
32408
What is the next term in -512, -1941, -4282, -7535, -11700?
-16777
What comes next: 108, 850, 2856, 6756, 13180?
22758
What comes next: -2129, -4161, -6193, -8225, -10257, -12289?
-14321
What comes next: 5048, 10084, 15124, 20168, 25216, 30268, 35324?
40384
What is the next term in -340, -277, -174, -25, 176, 435?
758
What is next in -395, -1682, -3855, -6914, -10859?
-15690
What is the next term in -71642, -143288, -214934, -286580, -358226, -429872?
-501518
What is the next term in -785, -816, -845, -872?
-897
What comes next: 2234, 2223, 2202, 2165, 2106?
2019
What comes next: 978, 986, 1000, 1020?
1046
What comes next: 67905, 67909, 67925, 67959, 68017?
68105
What is the next term in 150, 204, 332, 564, 930, 1460, 2184?
3132
What comes next: 4635, 3657, 2035, -225, -3117, -6635, -10773, -15525?
-20885
What is next in 211043, 211042, 211041, 211040, 211039, 211038?
211037
What is next in -115452, -230901, -346350?
-461799
What comes next: 11758, 23533, 35308, 47083, 58858, 70633?
82408
What is the next term in -393, -1562, -3495, -6180, -9605, -13758, -18627?
-24200
What is next in -5901, -5888, -5869, -5838, -5789, -5716?
-5613
What is next in 56972, 56975, 56978, 56981?
56984
What is the next term in -5566, -11273, -16980, -22687, -28394?
-34101
What is the next term in 11961, 47855, 107693, 191487, 299249?
430991
What is next in 54571, 54520, 54439, 54328, 54187, 54016?
53815
What comes next: 226226, 452451, 678676?
904901
What comes next: 405, 319, 173, -33?
-299
What comes next: -639, -4850, -16275, -38520, -75191?
-129894
What is next in 2136, 2126, 2116, 2106, 2096?
2086
What comes next: 1910, 7735, 17442, 31031, 48502?
69855
What is next in -670, -733, -796, -859, -922?
-985
What is next in -6004, -12010, -18018, -24028, -30040?
-36054
What comes next: -85, -236, -465, -808, -1301, -1980?
-2881
What comes next: 2490, 9950, 22372, 39756, 62102, 89410, 121680?
158912
What is the next term in -5409, -11174, -16937, -22698, -28457?
-34214
What is the next term in 319, 579, 737, 745, 555, 119?
-611
What is the next term in -10344, -10345, -10346, -10347, -10348?
-10349
What is the next term in 330, 669, 1596, 3405, 6390, 10845, 17064, 25341?
35970
What is next in -262, -344, -482, -676, -926, -1232, -1594?
-2012
What is next in 2118, 2126, 2134, 2142?
2150
What is next in -2404, -4820, -7250, -9694, -12152, -14624, -17110?
-19610
What is next in 665858, 665856, 665854, 665852, 665850?
665848
What is next in -21, 55, 177, 345, 559, 819, 1125?
1477
What is next in 78, 175, 272, 369?
466
What is next in 658, 1304, 1968, 2650, 3350, 4068, 4804?
5558
What comes next: 325, 401, 497, 613, 749?
905
What is next in -199, -302, -291, -172, 49, 366, 773?
1264
What comes next: -22695, -44425, -66157, -87891, -109627?
-131365
What is next in -3256
|
{
"pile_set_name": "DM Mathematics"
}
|
ts digit of f?
9
Let p be 30/12*(-4)/(-5). Suppose 2*n + 3*l = 10 + 10, -p*l = -4*n + 24. Suppose -4*b + 163 - n = 0. What is the units digit of b?
9
Let n(w) = 10*w**3 + 2*w**2 - w + 2. Let g be n(2). Let a = g - 130. Let t = 50 + a. What is the units digit of t?
8
Let f(x) = 6*x**3 - 14*x**2 - 5*x + 363. Let r(t) = -t**3 + 2*t**2 + t - 1. Let z(h) = f(h) + 5*r(h). What is the units digit of z(0)?
8
Let m = -145 - -121. Let w be 6/(-4) + (-10428)/m. Let s = 607 - w. What is the hundreds digit of s?
1
Let i(t) = 251 + 12*t - 17*t**2 - 18*t**2 + 0*t + 34*t**2 + 4*t. What is the units digit of i(0)?
1
Suppose -27 = p + 24. Let w = 48 + p. Let r(u) = -18*u - 11. What is the units digit of r(w)?
3
Let d(y) = 42923*y**2 - 305*y + 7. What is the units digit of d(-1)?
5
Suppose -87 + 86 = -w. What is the hundreds digit of 3/(w/(676/(-670)) + 1)?
3
Let j(m) = 26 + 2*m + m**2 - 9 - 23. Let g be j(3). Suppose -5*w + 3794 = g*w. What is the hundreds digit of w?
2
Let f(h) = 2*h**2 + 6 - 2*h - 2*h - 3*h**2 + 8. Let u be f(-13). Let v = 162 + u. What is the units digit of v?
9
Let u be 1 + (-4 - 4)/(-2). Let z(i) = 9*i**2 - 8 + 4*i - u*i**2 - i**2 + 2*i. What is the units digit of z(3)?
7
Suppose 2*t - 1024 = -3*a + 356, 1378 = 2*t + 4*a. Let l be t/(-18) - -3*(-2)/12. Let f = 70 + l. What is the units digit of f?
1
Suppose 6*n = -1746 + 7314. Suppose 0 = -2*r - 5*d + 2, -5*r - d + 26 = d. Suppose -14*v + r*v + n = 0. What is the tens digit of v?
1
Suppose -1858 = -3*n + a, -2488 = -4*n - a - 3*a. Let p = n - 398. What is the tens digit of p?
2
Let h(c) = c + 12. Let b be h(-8). Suppose 8*q = b*q - 148. Let f = q + 174. What is the units digit of f?
7
Suppose 13*o - 11*o - 4311 = -z, -2*o + 4329 = -5*z. Suppose 6*c - o = -759. What is the units digit of c?
3
Let s be -4*((345/10)/3 - 3). What is the hundreds digit of s + 307 - 1*7?
2
Let a be (((-65604)/16)/3)/(3/(-12)). Let o be (a/49 - -2) + 6/14. Let q = 232 - o. What is the tens digit of q?
1
Suppose -2*l = -5*a - 41904, -2*l = 5*a + 21629 - 63473. What is the units digit of l?
7
Let z = -12 + 19. Let w be 7/z - (0 - 8). Let d = 73 + w. What is the units digit of d?
2
Let l(f) = 208*f + 541. What is the tens digit of l(7)?
9
Let k = -1353 - -12324. What is the units digit of k?
1
Suppose 0 = 5*g, 2*g - 32350 + 12505 = -u + 7*g. What is the thousands digit of u?
9
Suppose 45*i - 59*i = -70. Suppose i*k + 13*k = 22626. What is the units digit of k?
7
Let p = 81 + -74. Let y(h) = 0 - p + 2*h**2 + 8 + h - 4*h**2 + 64*h**3. What is the tens digit of y(1)?
6
Suppose -4*i + 13 = -3, -3*a - i - 131 = 0. Let l = a - -47. What is the units digit of 53 + -2*1*1/l?
2
Suppose -91081 = -176*l + 1008271 + 163096. What is the tens digit of l?
7
Let g(b) = b**3 + 7*b**2 - 79*b + 149. What is the tens digit of g(21)?
3
Let t = 194 - 188. Suppose 8*p = -t*p + 266. What is the tens digit of p?
1
Let l(d) = -7 + d**2 - 10*d**2 + 41*d + 10*d**2. What is the tens digit of l(10)?
0
Let p(n) = n**3 - 25*n**2 + 26*n - 29. Let o(v) = 5*v**2 - 4*v - 4. Let z be o(-2). Let r be p(z). Suppose -528 = -23*u + r*u. What is the units digit of u?
2
Let b be (1 - (6 - 2)/(-4)) + 2. Suppose 4*y - 4 = -b*q, -4*q + 4 = -4*y + 8. Suppose q = 25*t - 22*t - 252. What is the units digit of t?
4
Suppose -4*t - 3 + 19 = 0, 0 = 4*b - 3*t - 32. Let r(o) = 1 + b*o + 3 + 4. What is the units digit of r(5)?
3
Suppose -a - 3*a - 40 = 0. Let l be (4/(-3))/(a/(-75)). Let k = l + 38. What is the tens digit of k?
2
Suppose -259*r - 2343616 = -323*r. What is the units digit of r?
9
Suppose 3*n - 4*q = -n, -2*q - 12 = -5*n. Let i be (18/n)/((-2)/8). What is the tens digit of (i/(-15))/((-1)/(-15))?
1
Suppose 0 = -237*a + 245*a - 441456. What is the thousands digit of a?
5
Let b(v) = -23*v + 55. Let g = 324 + -331. What is the hundreds digit of b(g)?
2
Let o = -64 - -67. Suppose 4*r = -q + 1300, 3*q + r = -o*r + 3868. What is the units digit of q?
4
Suppose -3*h = 2*d - 8, -2*d = -27*h + 25*h + 12. What is the units digit of 8*((-77)/h + -5)*-2?
8
Let p = 239 + -236. Suppose -g - p*t = -668, 4*t - 2181 = -5*g + 1137. What is the tens digit of g?
6
Let m = 21 - 23. Let a(h) be the second derivative of -h**5/20 - 5*h**3/6 - 3*h**2/2 + 3*h. What is the units digit of a(m)?
5
Let o(f) = 47*f**3 - f**2 + 2*f + 2. Let y be o(-1). Let h = y + 50. Suppose -m + 57 = h*s, -m + s + 109 = m. What is the units digit of m?
5
Let k(a) = -94*a**2 + 2*a + 30. Let z(v) = v**2 + v + 1. Let l(r) = -k(r) - 4*z(r). What is the tens digit of l(-4)?
3
Let x(l) = -3*l + 80. Let r be x(16). Suppose r*a - 4356 = -4*a. What is the hundreds digit of a?
1
Suppose -51*j + 1328461 = -710876. What is the hundreds digit of j?
9
Let p(a) = -254*a + 65. Let i be p(-11). Let r = i + -1884. What is the hundreds digit of r?
9
Suppose 5*f = 2*f. Suppose 3*k + 2*k - 10 = f. What is the units digit of (-7)/((-28)/296) - k?
2
What is the thousands digit of ((-2)/(-12)*3 + (-236236)/(-56))/1?
4
Suppose -7*f - 86 = -366. Suppose -h - 26 = -2*b + h, 3*b - 4*h - f = 0. Suppose -5*k = -b*k + 1281. What is the tens digit of k?
8
Let g(y) = -895*y - 1102. What is the tens digit of g(-91)?
4
Let c(n) = 55*n - 6 + 48*n - 30*n - 2*n. What is the units digit of c(4)?
8
Let t(s) = 5*s - s**2 - 3*s**2 - 24 + 5*s**2. Let o be t(-8). Suppose o = 4*n - 380 - 268. What is the tens digit of n?
6
Suppose 3*w = 12, -3*d - 4*w + 15 = -w. What is the tens digit of d + -1 - (13 + -416 + -4)?
0
Suppose 5*k + 304 = 4. Let b = k - -78. What is the tens digit of b?
1
Let a = 97 + -95. Let n be ((-20)/(-15))/a - 2/3. Suppose -4*f - 3*x - x + 712 = n, -3*x = f - 178. What is the tens digit of f?
7
Suppose 0 = -2*j + 11 + 23. Suppose -t + j = 3*p, t - 8 = -5*p + 13. Suppose t + 10 = l + z, 3*z + 37 = l. What is the tens digit of l?
2
Let t be 1062/27 - 1/3. Let j = -37 + t. Suppose -4*q - 156 = -2*r, -3*q + 84 = r - j*q. What is the tens digit of r?
8
Suppose 4*d = 4*f - 76, -4*d + 23 + 36 = 5*f. Suppose 0 = -27*w + f*w + 7164. What is the tens digit of w?
9
Let b(m) = 32*m - 52. Suppose 3*l = -y + 22, 0 = l - 3*l - 2*y + 12. Let o be b(l). Suppose -108 = -3*a - 3*h, -o = -a - 4*a + h. What is the tens digit of a?
4
Let j(s) = s**2 - 6*s - 28. Let p be j(9). Let h be (-69 + (-5 - -4))/p. Let u = 16 + h. What is the units digit of u?
6
Let g(a) = -286*a + 73. Let h be g(-7). Suppose -h = -5*s + 205. What is the hundreds digit of s?
4
Let m = -133 + 133. Suppose m = 13*b - 12*b - 183. What is the hundreds digit of b?
1
Let f = 443 + -428. Let a(q) = q**3 - 12*q**2 + q + 96. What is the hundreds digit of a(f)?
7
Let s = -150 - -150. Suppose 2*m + 10 = s, -5*k - 3*m + 2249 = 249. What is the tens digit of k?
0
Suppose -10*l = -28502 + 10102. Suppose 17*n - 8912 + l = 0. What is the tens digit of n?
1
Let q = -2 + 26869. What is the hundreds digit of q?
8
Let q = 2989 - 2085. Suppose q = 47*l - 39*l. What is the units digit of l?
3
Let i(d) = -5*d + 50. Let w be i(-8). Let s(k) = 45*k**3 + 46*k**3 + 13*k**2 + 19 - w*k**3 + k**2 + 3*k. What is the tens digit of s(-12)?
7
Let r be (56/(-6))/(8/(-108)). Suppose r = -z + 5*p + 1137, -12 = -4*p. What is the tens digit of z?
2
Let g(c) = 13*c**2 + 16*c + 16. Suppose f - 3*x + 1 + 0 = 0, -26 = 4*f - x. What is the hundreds digit of g(f)?
5
What is the units digit of (-4788)/(-441)*(159 + 2)?
8
Let i be 9 + -5 - 5 - 12. Let r(w) = -w**3 - 10*w**2 - 2*w - 39. What is the tens digit of r(i)?
9
Suppose 508*k + 15 = 513*k. Suppose k*g - 3233 = -5*j, 4*g + 3226 = 5*j - 0*j. What is the units digit of j?
6
Let f(w) be the second derivative of w**4/12 + 29*w**3/6 - 14*w**2 - 13*w - 4. What is the units digit of f(-32)?
8
Let p be 4/(-14) - (-120)/28. Let z(r) = r**2 + 34*r - 69. Let j be z(-36). Suppose a - 12 = w, 0 = -p*a + j*w - 0*w + 45. What is the units digit of a?
9
Suppose -2*h + 0*h - 16 = -2*g, g - 8 = 4*h. Let x = -2 + g. What is the tens digit of 106 + (8/6 + -1)*x?
0
Suppose -4*w + 159 = 43. Suppose -w*i + 33*i = -8. What is the units digit of (18 - 23)/(i/26)?
5
Let p be (-136)/16 + 8 + (-926)/(-4). What is the units digit of p + -2 + (-1 - -3)?
1
Suppose 1011642 + 720232 = 234*w - 1248116. What is the units digit of w?
5
Let t(w) = -2*w + 15. Let d be t(6). Suppose -6*r = d*r - 54
|
{
"pile_set_name": "DM Mathematics"
}
|
n -0.5, 0.2, -16, -0.2, 0.1, 150, -0.23?
150
What is the smallest value in -0.4, 1/38, 1/249, -259?
-259
Which is the sixth smallest value? (a) -320 (b) 1/6 (c) 1/2 (d) 0.01 (e) 14 (f) 0.1
e
Which is the fifth biggest value? (a) 2.9 (b) 0 (c) 2/7 (d) 1/11 (e) 1/5 (f) 0.767
d
What is the third biggest value in 65, -1148/11, -45?
-1148/11
Which is the second biggest value? (a) -17/69 (b) -38 (c) -453/5
b
Which is the smallest value? (a) -0.05 (b) 2 (c) 2705 (d) -3
d
Which is the sixth smallest value? (a) -0.4 (b) 0.509 (c) 9 (d) -0.023 (e) -1/2 (f) -0.3
c
Which is the smallest value? (a) 198975 (b) -10 (c) 30
b
Which is the third biggest value? (a) -1.7 (b) -29 (c) -0.07 (d) 8202
a
Which is the sixth smallest value? (a) 0 (b) 895 (c) 2 (d) -3/5 (e) 3/5 (f) -20
b
Which is the third biggest value? (a) 1/3 (b) 4 (c) -26682885
c
Which is the second smallest value? (a) 4 (b) 239532 (c) -4
a
Which is the second biggest value? (a) 10379 (b) -1 (c) -5 (d) -10.98
b
What is the sixth smallest value in 4, -452, -2/3, -2/13, 211, -6/5, -9?
4
Which is the biggest value? (a) 772453 (b) 1/4 (c) -3/8
a
Which is the third smallest value? (a) -523 (b) 38 (c) -2 (d) -1/13
d
Which is the fourth biggest value? (a) -4 (b) -26 (c) -2 (d) 9 (e) 318/5
a
What is the fourth smallest value in -1.1661, 11, 11/5, -4?
11
Which is the sixth biggest value? (a) 1.5 (b) -0.3 (c) -0.1 (d) -5 (e) 3 (f) -3670
f
What is the biggest value in -1/17, 18629, -19, 0.5?
18629
Which is the third smallest value? (a) 0 (b) 2 (c) 227 (d) 1 (e) 15 (f) 3 (g) 0.2
d
What is the fourth smallest value in -4, -3, 3, -10/13, -5/6, 3/10, -0.62?
-10/13
What is the smallest value in -4, -0.1, 0.055, -0.5, -1.8, 1/8, 562?
-4
Which is the second biggest value? (a) 92/119 (b) -57 (c) 3
a
What is the second biggest value in 3/7, -9, 0, -10, -0.3, -13/7?
0
What is the second smallest value in 92474, 6, -7, 0?
0
Which is the second smallest value? (a) -76/5 (b) 3086 (c) 0.034
c
What is the third biggest value in 0, -10, 0.1, 1, 12084/17, 1/3?
1/3
Which is the fourth smallest value? (a) 4524 (b) 475 (c) -0.03 (d) -7
a
What is the third biggest value in -6, -901206, 0.1?
-901206
What is the smallest value in -17475, -1, -3, -23?
-17475
Which is the second biggest value? (a) -5 (b) 4/5 (c) -1/3 (d) -2/15 (e) 2/1453
e
What is the smallest value in 0, -5, -5.7, -36, -74/7?
-36
Which is the second biggest value? (a) 2/17 (b) -5 (c) 1/9 (d) -64 (e) 1803
a
What is the third biggest value in 4, 892, -0.1, -514, -1, 8?
4
What is the third biggest value in -142, -7/34, 1, 16, -5?
-7/34
What is the biggest value in 0, 1, -3.03941, -1.5, -3?
1
Which is the third smallest value? (a) -124068/25 (b) -5 (c) -1/6
c
Which is the third biggest value? (a) 203.51 (b) 2/15 (c) 2 (d) -0.1 (e) -1 (f) 376
c
Which is the third smallest value? (a) 39 (b) 1 (c) -0.3 (d) -2/3 (e) 10 (f) 1/8 (g) 415
f
What is the smallest value in 0.043, 888.1, -5, 9?
-5
What is the second biggest value in 360, -5, 3, -2/3, -9/7, 1/13, 0.1?
3
What is the second smallest value in 62, -3, 2/7, 1, 6.3, -0.02, -1/5?
-1/5
Which is the third smallest value? (a) -2/29 (b) 3/2 (c) -4 (d) 79 (e) 1/7 (f) 0.21
e
Which is the second smallest value? (a) 2 (b) 1598 (c) 0.2 (d) -0.066 (e) -2/21 (f) 1
d
What is the seventh smallest value in 62.1, 12, 3, -0.4, 0.2, -0.3, 5?
62.1
What is the sixth smallest value in -1/9, 6, -16, 3, 0.1, -2, -31?
3
Which is the smallest value? (a) 3 (b) -0.1 (c) 3/16 (d) 4 (e) -4 (f) -273/5
f
What is the third biggest value in -1/132, -0.092, -24/113, -1/6?
-1/6
Which is the smallest value? (a) -86 (b) -137 (c) 307 (d) -1.3
b
Which is the second biggest value? (a) 23 (b) -288 (c) -752 (d) -2/15
d
Which is the sixth biggest value? (a) 3 (b) 0.07 (c) -0.2 (d) -1 (e) 3/1354 (f) 37
d
Which is the second biggest value? (a) 16 (b) 4 (c) 131254
a
What is the second smallest value in 10/303, -3775, 5?
10/303
What is the smallest value in 1.73699, 0.4, -19?
-19
Which is the second smallest value? (a) 512/3 (b) 19591 (c) -1
a
What is the biggest value in -1/3, -18467, 0.35, 2, -1?
2
Which is the third smallest value? (a) -2/3 (b) 12 (c) 2/9 (d) 1/6384
c
Which is the smallest value? (a) -1/2 (b) 2857087 (c) 0.1
a
What is the second smallest value in -0.424, 0.033, 0.11?
0.033
Which is the biggest value? (a) 21/2 (b) -2/145 (c) -173/14
a
What is the third smallest value in -32, 0.5, 0.05305, 3, -4?
0.05305
What is the second smallest value in -11, 5/26, 1, -36, 11?
-11
Which is the smallest value? (a) 21534 (b) 23/2 (c) -4 (d) 9
c
Which is the biggest value? (a) 4/5 (b) 0.2 (c) 538/323 (d) 2 (e) 6/13 (f) -3/2
d
What is the smallest value in -85, 0.2, -4/7, 4/5, 2/5, -44?
-85
Which is the third smallest value? (a) -222 (b) -1 (c) 1/99 (d) 3/7 (e) -107
b
Which is the third smallest value? (a) -11.712 (b) 1 (c) -2/9 (d) 10/7 (e) -35/6 (f) -1
f
Which is the third smallest value? (a) -1/8 (b) -1.3 (c) 0.0121 (d) -1/4 (e) -2/11 (f) 4 (g) -2/17
e
What is the biggest value in 1, 5.459, 2, 0.1, -3, 5, -8?
5.459
What is the second smallest value in -4/3, -11, 84, -13, -4, -2/5, -18?
-13
Which is the third smallest value? (a) 34.338 (b) 0.04 (c) 4/25 (d) 1/4 (e) 5
d
Which is the fourth biggest value? (a) 2/9 (b) 0.1 (c) -3.04168 (d) 0.5 (e) -34
c
What is the third smallest value in -0.12, -0.9477, -1, 0.3, 1/5, 0.93?
-0.12
What is the fourth smallest value in -5, -1/8, 3.4, -0.2, 4, 0.02, 2/9?
0.02
Which is the second smallest value? (a) -4 (b) -24.58 (c) 3/5276
a
What is the smallest value in -0.3, -0.2, -15/14, -26015?
-26015
What is the third biggest value in 2/9, -0.6, -0.1, -0.205, -4, 0.36?
-0.1
What is the smallest value in 1, -2/21, 2, 4, 8?
-2/21
What is the sixth smallest value in 1.33, -127, 2, 0, -1/3, -2/23?
2
What is the sixth biggest value in -18574, -0.011, -1/2, 0.4, 8, -2/13?
-18574
What is the second biggest value in 826, -33, 138?
138
What is the third smallest value in -262, -102, 11/3?
11/3
What is the third biggest value in -3.46, -2/43, -0.53?
-3.46
Which is the biggest value? (a) -0.0695 (b) -7685 (c) 0.01
c
What is the smallest value in -3/1184729, 1/5, -9/13?
-9/13
What is the smallest value in -3/8, 1, -12/283351?
-3/8
What is the biggest value in 217, -4.294, -12.7?
217
What is the third biggest value in 0.02, -18, -2/11, -2, -0.4, -11?
-0.4
What is the fifth biggest value in 0.3, -0.4, 1/6, 4675, -2.42?
-2.42
Which is the second biggest value? (a) 0.2 (b) -5/6 (c) -5 (d) -0.5267
d
What is the fifth biggest value in 0.4, -674, 1/2, -0.7, -156?
-674
What is the fourth biggest value in -2247, -0.5, -0.13111, -3?
-2247
Which is the fourth smallest value? (a) -0.11576 (b) 11 (c) -0.02 (d) -4 (e) -2/5 (f) -2
a
What is the second biggest value in 22.67, 10, -5, 23?
22.67
Which is the third smallest value? (a) 0 (b) -1503971 (c) -2/9
a
Which is the sixth smallest value? (a) -318 (b) 0.674 (c) 3 (d) 3/2 (e) -2/9 (f) -10
c
Which is the biggest value? (a) -2/7 (b) -4 (c) -2/3 (d) -1120.6
a
Which is the biggest value? (a) -2 (b) 6484 (c) 0 (d) -0.52
b
What is the second smallest value in -15161, -6, 3/4?
-6
Which is the second smallest value? (a) 3 (b) -182 (c) 453/22
a
What is the biggest value in -8/5, -3, -27578, -56, 0.1?
0.1
Which is the third biggest value? (a) 5 (b) -0.1 (c) 73 (d) 18/7 (e) -1.24 (f) -0.4
d
What is the second smallest value in -50, -54, 451, -1?
-50
Which is the smallest value? (a) -3/2657 (b) -2 (c) 1113
b
Which is the fifth smallest value? (a) -24 (b) -3/4 (c) 5 (d) 8004 (e) -3
d
Which is the smallest value? (a) 72 (b) -1 (c) 7 (d) -7 (e) 4748
d
What is the smallest value in -18/133, 3, 0.4, -71/11?
-71/11
Which is the second biggest value? (a) 6 (b) 0.5 (c) 3/8 (d) -1/2 (e) -1/1872 (f) -0.2
b
What is the third smallest value in -3, 4/1927, -230, -2/9?
-2/9
What is the third biggest value in 0, 1.9, -14, -63/2?
-14
Which is the second biggest value? (a) -2/1767 (b) 1/2 (c) 23 (d) -2 (e) 0.07 (f) 5
f
What is the smallest value in 1, 0, -0.3, -2/263, -5/4?
-5/4
|
{
"pile_set_name": "DM Mathematics"
}
|
derivative of 72734758*g**6 + 178014*g**2 - 27*g wrt g?
8728170960*g**3
Differentiate 2*j**4 - 4968598*j**2 - 10945104.
8*j**3 - 9937196*j
Differentiate 339*q**2 + 280607*q + 24948209 with respect to q.
678*q + 280607
Differentiate 141851994*t**3 - 57852237 with respect to t.
425555982*t**2
Find the third derivative of 4520775*u**3 + 7*u**2 + 2*u + 21088 wrt u.
27124650
Find the second derivative of 1251*d*n**3 + d*n*z**2 + 158823*d*n*z + 7814*n**3*z - n**2*z**2 - 5*n*z**2 wrt n.
7506*d*n + 46884*n*z - 2*z**2
Find the third derivative of -20*k**4 - 48526*k**3 - 336*k**2 + 14568*k - 1.
-480*k - 291156
What is the third derivative of -3364981*j**4*w - j**3*u*w + 2*j**2*u*w + 3*j**2 - 14*j*w - j + 1946*w wrt j?
-80759544*j*w - 6*u*w
Find the first derivative of 5*s**2 + 721268*s + 939752.
10*s + 721268
Differentiate 357984872*p**2 - 531297387.
715969744*p
What is the third derivative of -217510185*s**3 - 660*s**2 - 291*s + 96 wrt s?
-1305061110
What is the first derivative of -300*l**3*w - 59643969*l**3 + 98*l**2*w + 8*w wrt w?
-300*l**3 + 98*l**2 + 8
Find the first derivative of -29*v**3 + v**2 - 131*v + 535306.
-87*v**2 + 2*v - 131
What is the first derivative of -49998*a*z**3 + 571*a + 2832*z**3 + 9*z**2 - 19*z wrt a?
-49998*z**3 + 571
What is the third derivative of -2488887*q**3 - 2*q**2 + 327747*q?
-14933322
Find the first derivative of -783*p*u*v**3 - 120620*p*u*v - 13952*u*v**3 - 46*u*v**2 + u*v - u - v**3 + 2*v**2 wrt p.
-783*u*v**3 - 120620*u*v
What is the second derivative of 935598*a**5 + 5*a**4 + 8*a**3 + 2473193*a - 180?
18711960*a**3 + 60*a**2 + 48*a
Find the second derivative of 125649*k**5 - 41*k**3 + 7*k**2 - 589830632*k wrt k.
2512980*k**3 - 246*k + 14
Find the second derivative of 122273491*b**2 + b - 56047863.
244546982
What is the second derivative of -2288670*a**3*y - 133*a*y - 2*y + 7160 wrt a?
-13732020*a*y
What is the second derivative of 88*c**3*h + 562*c**3 - 788*c**2*h - 21*c*h + 113*c + 91*h - 7 wrt c?
528*c*h + 3372*c - 1576*h
What is the second derivative of 9593863*a**2*l*q + 13*a**2*l - 28376*a*l*q + a*l - 4*l*q + 4*l - 6*q wrt a?
19187726*l*q + 26*l
Find the second derivative of 5746*x**3 - 6163*x**2 - 198448650*x wrt x.
34476*x - 12326
What is the second derivative of 2199555*p**2 - 542025*p - 3?
4399110
What is the first derivative of -518249295*l**3 - 451268807?
-1554747885*l**2
What is the third derivative of -9897*p**5*t - 6*p**3*t**3 + 2*p**2*t + 2*p*t**3 - 458980*p*t wrt p?
-593820*p**2*t - 36*t**3
What is the second derivative of 84918452*l**2 + 87161008*l wrt l?
169836904
What is the derivative of -350*i**2 - 10407*i - 18851844?
-700*i - 10407
What is the third derivative of 2*g**3*q**3 - 263454*g**3*q + 3*g**3 - 23*g**2*q**3 - 27*g**2 + 592*q**2 + 1 wrt g?
12*q**3 - 1580724*q + 18
What is the second derivative of 9401756*o**5 + 558*o + 3978 wrt o?
188035120*o**3
Find the second derivative of 58*b**4 + b**3 - 4548*b**2 - 149880991*b.
696*b**2 + 6*b - 9096
What is the second derivative of 50747202*a**3 - 2*a + 217201442 wrt a?
304483212*a
Differentiate 85779388*b**2 + 69149706 with respect to b.
171558776*b
Find the second derivative of -34440948*h**4 + 83*h - 448867 wrt h.
-413291376*h**2
What is the first derivative of 2666153*s**3 - 151*s - 938184730 wrt s?
7998459*s**2 - 151
What is the first derivative of 586606026*a - 75823848?
586606026
Find the second derivative of -802920325*g**5 - 620816871*g wrt g.
-16058406500*g**3
What is the second derivative of -43108554*r**2 - 242861343*r?
-86217108
What is the derivative of -6059*h*i**2 + 2636*h*l**3 + 2*i**3 + 31*i*l**3 + 1944*l**3 - l**2 wrt i?
-12118*h*i + 6*i**2 + 31*l**3
Differentiate 7302350*z - 7233043 wrt z.
7302350
Find the third derivative of 14*i**6*s - 77315*i**3*s + 74*i**2*s + 11112*i**2 + i*s wrt i.
1680*i**3*s - 463890*s
What is the third derivative of -280878813*u**3 + 66842079*u**2?
-1685272878
Find the third derivative of -7*k**2*q**4 - k**2*q**2 + 5*k**2 + 21*k*q**2 - 265*k + 21631035*q**3 wrt q.
-168*k**2*q + 129786210
Find the first derivative of -123886333*b**3*v + 71012*b**3 + 2*b**2 + 10 wrt v.
-123886333*b**3
Find the second derivative of -4*h**4 + h**3 + 6257907*h**2 - 8617*h + 8375.
-48*h**2 + 6*h + 12515814
Differentiate -78*k**4 + 75804*k*y**2 + 2*k*y + 23284535*y**2 with respect to k.
-312*k**3 + 75804*y**2 + 2*y
Find the third derivative of -20462*c**6 + 4396*c**4 + c**3 - 202*c**2 - 574004 wrt c.
-2455440*c**3 + 105504*c + 6
What is the derivative of 39385371*y + 42617280 wrt y?
39385371
Find the third derivative of -1089527693*j**3 + 767112276*j**2.
-6537166158
Find the third derivative of -28309990*o**3 + 84*o**2 - 7990*o - 2 wrt o.
-169859940
What is the derivative of q**3 - 1277588*q**2 - 97381636?
3*q**2 - 2555176*q
Find the third derivative of 115882*b**3*y**2 + 420*b**3*y - 3*b**2*y**2 + 48987625*y**2 wrt b.
695292*y**2 + 2520*y
What is the derivative of 51*j*y**2 + 393*j*y - 1130*j - y**2 - 21*y - 16604 wrt y?
102*j*y + 393*j - 2*y - 21
Find the second derivative of 31563942*a**3*m**2 - 1710631*a**3*m + a*m**2 + 34*m wrt m.
63127884*a**3 + 2*a
Find the third derivative of 3815763*f**4 - 34*f**2 - 72970*f.
91578312*f
What is the third derivative of -19866836*i**3*p**3 - 115*i**3*p**2 + 3*i**3*p - 2*i**3 - 424*i + 11*p wrt p?
-119201016*i**3
Differentiate -79*i*r + 113*i*t + 2040*r**2*t - 706253*r**2 - 2*t wrt t.
113*i + 2040*r**2 - 2
What is the third derivative of 43160893*k**4*n - 2*k**2*n + 4*k**2 + 4*k + 5953*n + 7 wrt k?
1035861432*k*n
What is the first derivative of -j**3 + 15778784*j**2 - 2*j - 855576224 wrt j?
-3*j**2 + 31557568*j - 2
What is the second derivative of 307364104*t**5 - 194350864*t wrt t?
6147282080*t**3
What is the second derivative of -247927953*c**2 + 125*c - 462683?
-495855906
What is the second derivative of 20222364*c**2*w - 2*c*w + 111615*c - 2*w wrt c?
40444728*w
Find the third derivative of 1301*g**4 + 160856*g**3 - 1076152971*g**2 wrt g.
31224*g + 965136
What is the first derivative of 103407120*m**3 - 21025017 wrt m?
310221360*m**2
What is the first derivative of m**2*o*u + 4*m**2*o + 2*m**2 - 9*m*o*u - 2*m*o + 17*m - 1088*o + 2605557*u + 2 wrt u?
m**2*o - 9*m*o + 2605557
Find the third derivative of -54670731*b**3 - 107*b**2 - 186745*b.
-328024386
What is the third derivative of 53487200*v**3 + 3*v**2 - 18015628 wrt v?
320923200
What is the derivative of -120723285*n - 755196917 wrt n?
-120723285
What is the second derivative of 17191238*f**5 - 3*f**3 + 99047122*f?
343824760*f**3 - 18*f
Differentiate 52*d**2*t + 81*d*t**2 + 683*d*t - 3623054*t**2 + 10 wrt d.
104*d*t + 81*t**2 + 683*t
Find the second derivative of 9757*b**3 - 89*b**2 + 12998710*b - 2.
58542*b - 178
What is the third derivative of -113110134*d**3 - 45217*d**2 + 1103?
-678660804
What is the third derivative of -10954*c**5 + 73*c**3 + 748*c**2 + c - 371 wrt c?
-657240*c**2 + 438
What is the third derivative of 2784047*p**5 - 3*p**3 + 220*p**2 - 36*p + 54?
167042820*p**2 - 18
What is the first derivative of -221544*v**3 - 4*v**2 + v + 124676116 wrt v?
-664632*v**2 - 8*v + 1
What is the third derivative of -9*a**4*i - 6816*a**4 - 41*a**3*i - 611*a**2*i - 3*a**2 + 2*a*i - 4599*a wrt a?
-216*a*i - 163584*a - 246*i
What is the second derivative of -5*h**2*p*q - 763958*h**2 + 3*h*p*q - 35*h*q + 6*h - 89*p*q - p - 2*q wrt h?
-10*p*q - 1527916
What is the third derivative of -13*d**4 - 222719*d**3 + 10366*d**2 + 6*d - 5 wrt d?
-312*d - 1336314
Differentiate 1265*h**2*s**2 + 592*h**2 + 7*h*s**3 - 23299*s**3 + 249*s wrt h.
2530*h*s**2 + 1184*h + 7*s**3
What is the first derivative of 842995443*l**2 - 744050533?
1685990886*l
What is the first derivative of -620942442*z + 304768496?
-620942442
Differentiate 3448*d**3*o - 3*d**3 + 348*o - 810610 wrt o.
3448*d**3 + 348
Find the second derivative of p**4*z - 8358500*p**2*z**2 + 3*p*z**2 + 26*p*z + p - 2*z**2 - z wrt p.
12*p**2*z - 16717000*z**2
What is the second derivative of 552799334*g**5 - 141465059*g?
11055986680*g**3
Differentiate 330872676*o**4 + 371030778 with respect to o.
1323490704*o**3
What is the derivative of 6584865*j*v**3 - 5625*v**3 - 215*v**2 wrt j?
6584865*v**3
What is the second derivative of 5*k**5 - 5*k**4 + 338527*k**2 + 10*k - 6372132?
100*k**3 - 60*k**2
|
{
"pile_set_name": "DM Mathematics"
}
|
2) - sqrt(972)*3) - sqrt(972))*-1)/(sqrt(726) - (sqrt(726) + 2*sqrt(726)*-3 + sqrt(726))).
18*sqrt(2)/55
Simplify -3*(4 + -5 + (-3*sqrt(2448)*-2 - (sqrt(2448) - (1 + sqrt(2448)*2)))**2).
-359856 - 504*sqrt(17)
Simplify -4 + -3 + sqrt(363) + (3*sqrt(363) + 4 - sqrt(363)).
-3 + 33*sqrt(3)
Simplify (-2 + (-3 + -2 + sqrt(125) + -3)**2 + -4)*1.
-80*sqrt(5) + 183
Simplify (sqrt(240)/(sqrt(300) + sqrt(12)))/(sqrt(20)/(sqrt(15)/sqrt(3))) + 1 + 4.
sqrt(5)/6 + 5
Simplify -4 + 6*(-5*sqrt(2736)*1 + sqrt(2736)).
-288*sqrt(19) - 4
Simplify 5 + (sqrt(833)*-1 + 1)*-3 + -4.
-2 + 21*sqrt(17)
Simplify (5 + (sqrt(3072)*-1 - (sqrt(3888) + sqrt(3888) + -2)))**2.
-1456*sqrt(3) + 32497
Simplify (-5*(sqrt(171) - (3*sqrt(171) - sqrt(171)))*2)/(sqrt(81)/((sqrt(90)*-2)/sqrt(10))).
-20*sqrt(19)
Simplify 6*((-1*sqrt(120) + sqrt(120) + sqrt(120))/sqrt(10)*1)/(sqrt(24)/(-1*(sqrt(36) + sqrt(4)))).
-24*sqrt(2)
Simplify ((-5*-1*sqrt(120))/(6*1*sqrt(30)/sqrt(3)))**2.
25/3
Simplify (1*(sqrt(19) - (-1*sqrt(19) + sqrt(19)))*-1)**2 + ((-1*sqrt(171))/sqrt(9) + (-1*sqrt(228))/sqrt(12))**2.
95
Simplify sqrt(12)/(sqrt(6) - (sqrt(384) - (sqrt(384) - sqrt(384)*-6))) - (sqrt(216)*6)/sqrt(12).
-881*sqrt(2)/49
Simplify (sqrt(912)*2*6)/(6*sqrt(24)/(sqrt(56)/sqrt(7))).
8*sqrt(19)
Simplify 1 + sqrt(539) + 1 + sqrt(539) + 6*(-2*sqrt(539) + sqrt(539)) + 4.
-28*sqrt(11) + 6
Simplify (2*(sqrt(78) - (sqrt(78) - sqrt(78)*-3*2)))/((sqrt(240)*2)/sqrt(10)).
-3*sqrt(13)
Simplify ((-1*sqrt(7488))**2 - (3 + (sqrt(1872))**2)) + 3.
5616
Simplify (3*((sqrt(117) - -2*sqrt(117))*-1 - (1 + sqrt(117) + 5)))**2 + 1.
1296*sqrt(13) + 17173
Simplify -5*(sqrt(1620) - (sqrt(1620)*-1 + sqrt(1620)))/((sqrt(40)*2)/sqrt(10)).
-45*sqrt(5)/2
Simplify (sqrt(196)*3)/(sqrt(7) - (sqrt(567) - (sqrt(567) + sqrt(567) + (sqrt(567)*5 - sqrt(567))) - sqrt(7))).
6*sqrt(7)/47
Simplify ((sqrt(612) - (-5*(sqrt(612) - (sqrt(612) + -2 - sqrt(612) - sqrt(612))))**2) + sqrt(612) + sqrt(612) + ((1 + sqrt(612))*3)**2)*-2 + 0.
2148*sqrt(17) + 111566
Simplify sqrt(26)/(sqrt(242)*2) + (5*(sqrt(208) + -5 + sqrt(13)))**2.
-27499*sqrt(13)/22 + 8750
Simplify ((0 + (sqrt(1331) - (sqrt(1331)*-4 - sqrt(1331))) + sqrt(1331) + sqrt(1331) - sqrt(1331)) + 4*sqrt(1331)*4)**2.
704099
Simplify 3 + ((-5*(sqrt(320) + -1 - sqrt(320)))**2 - (-1 + sqrt(320) + 3)) + 4.
-8*sqrt(5) + 30
Simplify sqrt(600)/((sqrt(96)*-2 + sqrt(96) - sqrt(96))/sqrt(8) - sqrt(12)) + (sqrt(72)/((sqrt(4) - (sqrt(16)/sqrt(4) - sqrt(4))) + sqrt(4))*6)**2.
-5*sqrt(2)/3 + 162
Simplify (sqrt(704) - ((sqrt(704) - 1*sqrt(704)) + 5) - sqrt(704)) + -4 + (-1*sqrt(132))/sqrt(12).
-9 - sqrt(11)
Simplify -5 + ((2 + sqrt(51)/sqrt(3) + sqrt(17))*2)**2 + (2*(sqrt(272) + 1) - sqrt(272) - (2 + sqrt(272)*-1)**2).
9 + 52*sqrt(17)
Simplify (sqrt(1377)*2 + -2 - (-1 + (2*sqrt(153) - sqrt(153)) + sqrt(153))) + -1.
-2 + 12*sqrt(17)
Simplify (sqrt(108) - (sqrt(108) + (sqrt(108) + 0 - sqrt(108))**2)) + 5 + 5*(sqrt(3) + sqrt(36)/(sqrt(36)/sqrt(3)) + sqrt(3)).
5 + 15*sqrt(3)
Simplify ((sqrt(13) - sqrt(468))*-3 - 4*sqrt(117))*4.
12*sqrt(13)
Simplify (-4*((sqrt(156)*-3 - sqrt(156)) + sqrt(156) + sqrt(156))*-1)/((sqrt(12) - 4*(sqrt(12) - sqrt(108)) - sqrt(12))*-2).
sqrt(13)/2
Simplify (sqrt(378)/((2*sqrt(36) + sqrt(36))/sqrt(6)))/(sqrt(324)*2*6).
sqrt(7)/216
Simplify ((sqrt(156)*2*4 - (2*sqrt(156) - sqrt(156))*3)/((sqrt(144)*1)/sqrt(3)))**2.
325/4
Simplify (4*(sqrt(1900) - (sqrt(1900) + 5))*-3 + 2 + -2)**2.
3600
Simplify ((sqrt(76) - (sqrt(76) + (sqrt(76) - (-1*sqrt(76) - sqrt(76))) - sqrt(76))*3) + sqrt(76)*-2*-6)/(sqrt(36) + sqrt(144) + sqrt(64)/sqrt(4)).
4*sqrt(19)/11
Simplify (sqrt(76) - -4*sqrt(76)*2)/sqrt(4) + 4*(sqrt(1539) + -4).
-16 + 45*sqrt(19)
Simplify (sqrt(35) - (sqrt(2835) + (sqrt(2835) - 2*sqrt(2835) - sqrt(2835))))/((sqrt(5) - -3*sqrt(5))*-1) + 0.
-5*sqrt(7)/2
Simplify -4 + (sqrt(204) + 2*-2*sqrt(204))/sqrt(12) - 4*(sqrt(17)*-2*4 - 1*sqrt(612))**2.
-13332 - 3*sqrt(17)
Simplify ((sqrt(22) - sqrt(352)*-1)*3)/(sqrt(40)/sqrt(5)*-5).
-3*sqrt(11)/2
Simplify (sqrt(640)*1 + (sqrt(480) + 2*sqrt(480))/sqrt(12))/(sqrt(200)*2 + sqrt(56)/(2*sqrt(7))).
2*sqrt(5)/3
Simplify (((sqrt(204) - (sqrt(204) + (sqrt(204) - (sqrt(204) - (sqrt(204) + 2*sqrt(204)*4))) - sqrt(204)))*2)/((2*sqrt(108)*1)/sqrt(9)))**2.
1088
Simplify ((sqrt(847) + 1*sqrt(847) + sqrt(847) + 2)**2 + (-3*(sqrt(847)*-1 + sqrt(847)))**2)*-2.
-15254 - 264*sqrt(7)
Simplify -3*((1*sqrt(2057) + sqrt(17))**2 + 5)*5.
-36795
Simplify -2 + sqrt(128) + (0 + sqrt(128) - sqrt(128)) + 2.
8*sqrt(2)
Simplify (-4*-2*(sqrt(432) - (1 + sqrt(432))))**2 - (3*sqrt(162))/(sqrt(72)/(sqrt(36)/sqrt(3))).
-9*sqrt(3) + 64
Simplify (sqrt(315)/(sqrt(45)/sqrt(9)) + (sqrt(252) - (sqrt(252) + -1)))**2.
6*sqrt(7) + 64
Simplify (0 + sqrt(612) - (3 + sqrt(68))**2) + -4 + 0.
-81 - 6*sqrt(17)
Simplify 5*(-6*(sqrt(847)*-2)**2 + 1 + sqrt(847) + -1) + -2 + 3.
-101639 + 55*sqrt(7)
Simplify 2 + (1*sqrt(110)*2 - (sqrt(110) - sqrt(110)*-2*4))/(sqrt(10) + -2*sqrt(10)*6 + sqrt(1440)*2).
-7*sqrt(11)/13 + 2
Simplify 0 + 3 + (sqrt(12))**2 + (sqrt(24)/(sqrt(8) + sqrt(8) + (sqrt(8) - sqrt(32)/sqrt(4))) + sqrt(3))*1.
3*sqrt(3)/2 + 15
Simplify ((((sqrt(63)*2 - sqrt(63)) + sqrt(63))/sqrt(9) - sqrt(7)) + -5 - ((-4 + sqrt(28))**2 - sqrt(28)/sqrt(4)*-4))*2.
-98 + 26*sqrt(7)
Simplify (1*(5*(sqrt(171) + sqrt(171) + sqrt(171) + sqrt(171)*3))/((-6*sqrt(72))/sqrt(8)))**2.
475
Simplify 1 + (((sqrt(500) - (sqrt(500) + 1)*6)**2 - sqrt(500)) + (-5 + -1*sqrt(500))**2)*2.
1380*sqrt(5) + 26123
Simplify 4 + -4 + 1 + (0 + sqrt(75) + sqrt(75))**2*4 + -3.
1198
Simplify -3 + 4 + ((-2 + sqrt(75)*-1)**2 - 1*(1 + sqrt(75))) + 1.
15*sqrt(3) + 80
Simplify -1 + ((-2*(5*(1*sqrt(99) - sqrt(99)) - sqrt(99)))/(-6*1*sqrt(1089)))**2.
-98/99
Simplify (sqrt(63) + (sqrt(7623) - -1*sqrt(7623)) + (sqrt(756) + sqrt(756)*2)/sqrt(12))/((sqrt(729) - 2*sqrt(729)) + sqrt(81)/(sqrt(9) - sqrt(225))).
-104*sqrt(7)/37
Simplify (sqrt(500) + -1*sqrt(500)*4)*-4 + (sqrt(320) + sqrt(320) + (sqrt(320) - (1 + sqrt(320)*-2)) + -3)**2.
-200*sqrt(5) + 8016
Simplify (4*sqrt(119)*5 + sqrt(119))/(sqrt(175)*6 + sqrt(7)).
21*sqrt(17)/31
Simplify (-3*-4*sqrt(480))/(5*(sqrt(250) + (sqrt(250) - -5*sqrt(250))) - sqrt(250) - sqrt(250) - sqrt(250)).
3*sqrt(3)/10
Simplify ((((sqrt(66) - sqrt(66)*2) + sqrt(66))*5 - (sqrt(66) + 3*sqrt(66)*-1))/(sqrt(108)/sqrt(2) - (sqrt(12) - sqrt(36)/sqrt(3))/sqrt(2)))**2.
44/9
Simplify -1 + ((sqrt(24)*2)/sqrt(12) + sqrt(2))*6*-4.
-72*sqrt(2) - 1
Simplify ((sqrt(180) + sqrt(180)*-4*-3)/sqrt(6))/((sqrt(4320)*-1)/sqrt(3)).
-13*sqrt(3)/12
Simplify 6*((sqrt(3267) - sqrt(27)) + sqrt(27) + (-3 + -1 + sqrt(3))**2).
114 + 150*sqrt(3)
Simplify (-1*-1*sqrt(648))/(sqrt(40)/(sqrt(10)*2*-6)).
-108*sqrt(2)
Simplify (-6*(sqrt(108) + -2*sqrt(108) + sqrt(108)))/(-4*-1*sqrt(6) + sqrt(18)/sqrt(3)*6).
0
Simplify 3*((-2*sqrt(8)*1)/(sqrt(48)/sqrt(192)))**2*6.
2304
Simplify 0 + 2*sqrt(19) + 1*sqrt(76) - (4 + (4*sqrt(171) - sqrt(171)))**2.
-1555 - 68*sqrt(19)
Simplify (-5 + sqrt(2420)*-1 - (sqrt(2420) - (sqrt(2420) + 2 + sqrt(2420) - sqrt(2420)))*6)**2.
-308*sqrt(5) + 2469
Simplify (-4*(sqrt(325) + 0 + sqrt(325)) + -2*(sqrt(325) + 1) - (-4 + (sqrt(325)*2 + sqrt(325))*2 + sqrt(325))**2)*6.
-95658 + 1380*sqrt(13)
Simplify ((sqrt(100)/(2*sqrt(4) - sqrt(4)))/sqrt(5))**2 - (-2 + -1*sqrt(125)).
7 + 5*sqrt(5)
Simplify 0 + ((3*1*sqrt(187))/((sqrt(55) - sqrt(110)/sqrt(2))/sqrt(5) - sqrt(11) - sqrt(11) - sqrt(11)))**2.
17
Simplify (-6*(sqrt(75) + 5 + -3*(sqrt(300) + sqrt(3))))**2 + -2.
-10080*sqrt(3) + 85570
Simplify -3 + (1*(sqrt(245) + 0) - (sqrt(245) + 3*sqrt(245) + -3)).
-21*sqrt(5)
Simplify (((sqrt(196)/sqrt(4) + sqrt(49))*1 + sqrt(49))*-2)/(sqrt(28)*-2*1).
3*sqrt(7)/2
Simplify (sqrt(162) + sqrt(162) + -4*(-2*sqrt(162) + sqrt(162)))/(sqrt(225) + (sqrt(225) + sqrt(225) + sqrt(225)*-4)*-1 + sqrt(225)).
9*sqrt(2)/10
Simplify sqrt(65)/(sqrt(5) + sqrt(30)/(sqrt(6) + sqrt(6) + sqrt(18)/sqrt(3)) + sqrt(5)) + -3 + -2 + sqrt(13) + -2 + (sqrt(26)/sqrt(2))**2.
10*sqrt(13)/7 + 6
Simplify (3*sqrt(2178) + 4 + 5)**2.
1782*sqrt(2) + 19683
Simplify ((sqrt(112) - (sqrt(112)*3*-2 + sqrt(112))) + 0)**2 + ((sqrt(112)*1 + 1 + sqrt(112))**2 - 5*(0 + sqrt(112))**2).
16*sqrt(7) + 3921
Simplify 1 + (sqrt(24)/sqrt(3))**2*6 - (4 + (sqrt(16)/sqrt(2) + -5)**2).
12 + 20*sqrt(2)
Simplify (sqrt(98) - (
|
{
"pile_set_name": "DM Mathematics"
}
|
s be (58/(-12)*4)/((-22)/33). Solve 4*j + 17 = s for j.
3
Let r(s) = 3*s - 1. Let w be r(1). Suppose -3*x - 33 = 3*c, -w*c - c - 29 = 5*x. Let i = -10 - c. Solve i*d - 4 = 2 for d.
2
Suppose -155*a + 145*a + 40 = 0. Solve -a*n + 6 = -7*n for n.
-2
Let m = 40 - 103. Let l = m - -74. Solve -1 = -4*g + l for g.
3
Suppose z = -z + 12. Let m(o) = -o**3 + 17*o**2 - 15*o + 4. Let a be m(16). Solve -a = -z*x + x for x.
4
Suppose 2*s + 16 = 2*k + k, -2*s + 26 = 4*k. Suppose -k*f = 2*f - 24. Solve 0 = -f*x + x for x.
0
Let r be ((-6)/(-15))/((-2)/(-30)). Let q be (-110)/(-33)*r*1. Let w(i) = -i**3 - 9*i**2 - 8*i. Let n be w(-8). Solve n = 2*k - 6*k - q for k.
-5
Suppose -50 = 2*q + w - 13, 3*q + 66 = 2*w. Let b(i) = -i - 14. Let u be b(q). Solve u = -4*a + a for a.
-2
Let h be (-2)/(-3) + -4 + 4/(-6). Let g be (-41)/h + 1/(-4). Solve 0 = 2*z - 4*z - g for z.
-5
Suppose -2*z + 5*t - 51 = -12, 4*z + 43 = 3*t. Let c be 384/(-144)*(2 - (-5)/(-4)). Let k = c - z. Solve -k*s = -28 + 8 for s.
4
Let l(y) = -y**3 - 3*y**2 + 9*y + 3. Let q be l(-6). Let g = q - 54. Solve -3 = -6*z + g*z for z.
1
Let o(y) = 3*y**2 - 64*y - 112. Let a be o(23). Solve s + a*s = -16 for s.
-4
Suppose 0 = 18*q - 1506 + 1110. Solve -34 = 6*h - q for h.
-2
Let j(c) be the second derivative of c**4/12 + 2*c**3/3 - 5*c**2 - 20*c. Let o be j(-6). Solve -6 = o*x - 0*x for x.
-3
Let n be (12/2 - 6)/(-4). Solve 2*d + 10 = -n for d.
-5
Suppose -2*b - 1 = -3*u - 6, -4*u + 24 = 5*b. Suppose -5*h = -3*a - 13, -h + 0*a = -a - u. Solve -9 = -h*c + 2*c for c.
3
Suppose -2*o - 4 = -4*o. Let s = 46 - -2. Let l = -34 + s. Solve -o = 4*g - l for g.
3
Let l = 219 - 193. Solve -23*i - 15 = -l*i for i.
5
Let a be 4/24 + 13/(-6). Let i be 2/(-4)*a - -4. Suppose 5 = -2*k + i*c, 13 = 5*k - c - 9. Solve -1 - 4 = -k*n for n.
1
Let l(y) = -35*y - 1. Let v be l(1). Let p be (v/(-24))/(1/(64/6)). Solve -2*g + p = -6*g for g.
-4
Suppose -4*w - 50 = 3*l + 45, w = -2*l - 70. Suppose -x + 229 = 4*s + 12, 0 = -5*s - 3*x + 280. Let z = l + s. Solve -4*r - z = -0 for r.
-4
Let g be ((55/4)/(-11))/((-2)/8). Let l(x) = 2*x + 2. Let z be l(4). Let q be ((-3)/5)/((-2)/z). Solve 2*d + g = -q*d for d.
-1
Let v be 5/(-20) + (-26)/(-8). Let i(a) = -a**2 - a + 7. Let w be i(0). Solve -v*x + 16 = -w*x for x.
-4
Suppose -4*i + 5 - 21 = 0. Let h(c) = -c**3 - 4*c**2 + 2. Let v be h(i). Solve -2*w = -w + v for w.
-2
Suppose 2*h + 70 = -5*o + 458, -384 = -5*o - h. Solve 0 = 4*b + 88 - o for b.
-3
Suppose -6*q = -284 + 116. Solve 0 = -q*l + 32*l + 12 for l.
-3
Let q(p) = -14*p + 86. Let s be q(6). Solve -4*m - s = -3*m for m.
-2
Suppose 4*z + 5*o + 27 = 8*z, 5*z - 30 = 5*o. Let f be 3 + (1 + z - 1). Solve f*q = 3*q - 15 for q.
-5
Let s(m) = 2*m**2 - 15*m + 32. Let a be s(7). Solve 13*d - 8*d = a for d.
5
Suppose -9*j + 60 - 825 = 0. Let u = j - -90. Solve t - u*t = 0 for t.
0
Let m(t) = t**2 - 7*t + 1. Let k be m(7). Suppose 5*n - 16 + k = 0. Suppose -4 = -r + v, 0 = n*r - 4*v - 6 - 8. Solve 0 = r*c - 6 for c.
3
Let y = 1821 + -1808. Solve 9*l - y*l - 16 = 0 for l.
-4
Suppose -10*d + 4*d = -12. Let c(v) = v + 1. Let l be c(-8). Let a = l - -9. Solve -4 = -d*i + a for i.
3
Suppose -4*s + 12 - 4 = 0. Suppose s*c = -c. Solve c*p = 3*p for p.
0
Suppose 4*o + 4*l = 8, 3*l - 8*l = -25. Let g be (-8)/(-6)*o - -10. Solve -3*h = 3 - g for h.
1
Suppose 0 = -8*w + 6*w - 4. Let k be -1 - -7 - (2 + 0 - w). Solve 6 = -4*h + k for h.
-1
Let f be 120/54 - 8/36. Suppose -f*g + 3*g + 7 = 0. Let y = 9 + g. Solve 2*u = -y*u for u.
0
Let r be -2 + (-8 - -4)*-3. Suppose 10 - r = 3*m. Solve -5*k = -m - 5 for k.
1
Let j be (0 - 7) + 4*(-1)/(-2). Let o = 15 - 10. Let n = j + o. Solve n = 3*d - 1 - 2 for d.
1
Let a(b) = -b**2 + 7*b + 3. Let n be a(7). Let j(z) = z**2 - 39*z + 226. Let w be j(7). Solve -n*s = -w*s - 4 for s.
4
Suppose -3*n - 20 = -4*u, 5*u + 3*n + 10 = -2*n. Solve 14 = -u*r + 6 for r.
-4
Suppose 12 = 4*r - j, -4*r + 5*j - j = 0. Suppose 4 - 23 = 5*z + 3*o, -13 = -z + 5*o. Let c = z + 3. Solve r = t - c for t.
5
Let w be (-24)/(-36)*5*3*-1. Let h be ((-4)/(-3))/((-6)/(-135)). Let r = h + w. Solve 0 = 3*a + a - r for a.
5
Let a = -81 - -89. Solve -a*p + 3*p - 25 = 0 for p.
-5
Let d = 57 + -45. Suppose -d*a + 5*a = -14. Solve a*k = 3*k for k.
0
Suppose -2*h - 3 = -3*z - 2, -14 = -2*z - 2*h. Suppose z*d + 12 = 9*d. Solve x = 1 + d for x.
3
Let g(d) = 2*d**2 + 1 - 6 - 3*d**2 - 8*d. Let h be g(-7). Suppose -z = h*z. Solve z = 3*s + s - 16 for s.
4
Suppose -7*s + 21 = -0. Solve t = -s + 6 for t.
3
Suppose -3 = l - 5. Suppose -173 = p - 178. Let c = p - l. Solve c*a - 1 + 4 = 0 for a.
-1
Suppose -13*l + 17*l = -180. Let k = -45 - l. Solve -1 = -q - k for q.
1
Let z(f) = -f**3 + 6*f**2 + 6. Let a be z(6). Suppose -a*x + 16 = -2*x. Solve 9 = x*t - 7*t for t.
-3
Let q(o) = -2*o**2 - 9*o + 21. Let h(d) = -d**2 - 10*d + 21. Let l(s) = 4*h(s) - 3*q(s). Let a be l(2). Solve -9 = -3*j - a for j.
2
Suppose g = -g - 4. Let n be g/(-7) - (-234)/14. Suppose -49*k + 20 = -44*k. Solve -n + 5 = k*i for i.
-3
Let b be (-4)/6*(-3)/(-2). Let n be (11 - 11)/(b/1). Let g = -6 - -9. Solve n*l = -g*l - 12 for l.
-4
Let w(z) = -z**2 + 3*z + 10. Let f be w(5). Suppose 2*t = -f + 10. Solve 0 = 2*a - t*a for a.
0
Let d(w) = 7*w**2 - w - 2. Let o(g) = 4*g - 25. Let r be o(6). Let z be d(r). Solve -j - 2*j + z = 0 for j.
2
Suppose 6*s + 32 = 74. Let u be (-244)/(-28) + 2/s. Solve 3*l = -0*l + u for l.
3
Suppose 0 = -k, 14*k + 110 = 2*r + 15*k. Solve -3*f = -r + 46 for f.
3
Suppose 0 = -8*r - 455 + 487. Solve x - r*x - 3 = 0 for x.
-1
Let t = -3394 - -3394. Let g be ((-30)/(-8))/(2/8). Solve -3*f + g = -t for f.
5
Let f(q) = -4*q**3 - 27*q**2 + 5*q - 17. Let x be f(-8). Solve -x*i = -261*i for i.
0
Let q(b) = -b**3 - 11*b**2 + b + 13. Suppose 4*a - 57 = 5*g, -3*a - g + 6 + 32 = 0. Let p = 2 - a. Let r be q(p). Solve -w = r*w for w.
0
Let t(z) be the second derivative of z**4/6 - z**3/2 + z**2 + 4*z. Let k be t(2). Suppose 2*r + k = -6, 4*p + 12 = -4*r. Solve 0 = u - 0*u - p for u.
2
Let d = 67 - 67. Solve -2*r - 6 + 0 = d for r.
-3
Let f be (2/4)/(1/8). Let w(g) = -3*g + 1. Let d be w(-1). Suppose 0 = -x - d*z - 7, 10 = f*x + 3*z - 14. Solve v = -2*v + x for v.
3
Let j = 48 + -20. Suppose 0 = -a - 4*z + 2, 4*a + 0*a + j = -4*z. Let l = a + 10. Solve l = 2*p + 8 - 0 for p.
-4
Let i = 4 - 2. Let h be (-23 - (-6 + -17))*(-2)/2. Solve i + h = -t for t.
-2
Suppose -40*r + 345 + 1135 = 0. Solve -33*a = -r*a - 8 for a.
-2
Let p be ((-4)/8)/((-5)/30) + 0. Solve -3*k + p*k = 7*k for k.
0
Let z(h) be the second derivative of -h**5/20 + h**4/12 + h**3/6 + h**2 - 5*h. Let p be z(-2). Suppose -3*o = 2*o - 15. Solve o*q + q = p for q.
3
Let j(t) = t + 3. Let p be j(-3). Let z be 10 - -1*6/(-2). Let b = z - 4. Solve 3 + p = -b*m for m.
-1
Let k = 13 + -4. Let m = 22 - 17. Solve k*b = 4*b + m for b.
1
Let z be (-1 - -1)*(48/18 + -3). Solve 6*q - 3 - 9 = z for q.
2
Suppose 19 = -3*t - 20. Let w = 23 + t. Let v be 4 - (-4 + w + -2). Solve v = 3*r - r for r.
0
Suppose s + 4*s = -100. Let z = -25 - s. Let o be 4 - (0 + -1 - z). Solve -4*c + 20 = -o*c for c.
5
Let f be 20 + 2 + (3 - 6). Suppose -2*j - f + 1 = 0. Let c = j - -11. Solve -l = -3*l - c for l.
-1
Let l(t) = -4*t - 30 - 7*t + 8*t. Let o be l(-12). Solve 0 = 4*j - o*j for j.
0
Let o be -177 - -176 - 34*-1. Solve -21*a = -o*a for a.
0
Suppose -2*c + 20 = -0. Suppose -3*y = -c + 7. Let j = y - -2. Solve 0*a = -a + j for a.
3
Suppose 13*b = 8*b - 140. Let f be 70/b*(-24)/10. Let v(n) = -n**3 + 7*n**2 - 7*n + 8. Let c be v(f). Solve 3*q + c = -10 for q.
-4
Let y = -13 - -7. Let p = -1 - y. Suppose -p*k + k = -20. Solve k*r = 8 + 7 for r.
3
Let k(l) = l**2 + l. Let h be k(-5). Suppose 0 = 4*s + 4 - h. Let i be (-1)/(4/(-60)*1). Solve s*x + i = -x for x.
-3
Suppose -3*u = -0*u + 36. Let s = u + 21. Let c = 1274 - 1269. Solve s = -c*o + 24 for o.
3
Suppose 3*s + 2*l + 3 = 19, 2*l - 6 = 2*s. Let j(n) = 16 - n + 6*n**2 - n**3 + 0*n**s + 8*n - 2*n. Let c be j(7). Solve -a + 2*a = c for a.
2
Let l(a) = 2*a**2 + 2*a - 3. Let p be l(0). Let w be p/(6/(-13)) - (-8)/(-16). Solve -w = 2*h - 16 for h.
5
Let u(p) = -12*p - 15. Let l be u(-5). Solve -5*d - 4*d + l = 0 for d.
5
Let j = 2 + 0. Suppose -3*o = -1 - 8. Let u = 3 - o. Solve -j*a + a = u for a.
0
|
{
"pile_set_name": "DM Mathematics"
}
|
0.1?
o
Suppose 42*u = 39*u - 12. Let p(k) = -15*k**2 - 2*k + 1. Let h be p(1). Let z be h/(-12)*(-1)/u. Which is greater: z or 0.1?
z
Suppose 16 = -4*x - 4*q, -x - 4*q - 15 = 2*x. Let i = -386/1599 + 12/41. Let t = i + -88/195. Is t < x?
False
Let u(z) = z**3 + z**2 - z. Let l be u(1). Let y = -6 - -8. Suppose 2*g = -0 + y. Is l greater than or equal to g?
True
Let l be (-2)/((-24)/4) + 2/18. Are l and -1 nonequal?
True
Let d(f) = -f**2 + 2*f + 2. Suppose t + t + 2 = 3*v, 5*t - 5*v + 10 = 0. Let w be d(t). Let c be 4/w + 16/88. Are -2/9 and c unequal?
True
Suppose -2*s + s + 4*k + 17 = 0, 2*k + 9 = s. Let x(f) = -f**3 - 5*f**2 + 7. Let r be x(-5). Let l be (-4)/(20/r) - -2. Which is greater: l or s?
s
Let p = -51 - -51. Is p not equal to -19?
True
Let z be (8/6)/(-2)*3. Which is smaller: -1 or z?
z
Let z be (-4)/3*(-8 + 2). Let c(l) = l**2 - 8*l - 11. Let y be c(z). Is y bigger than -11?
False
Let t = 1.42 - 0.99. Let w = -1.03 + 1. Let c = w + t. Which is greater: c or 0.2?
c
Let r = 80 + -76. Let a = 0 - 0. Is a at most r?
True
Let w be (1 - -1 - 4) + (-24)/(-10). Are w and -0.12 nonequal?
True
Let q = 136 - 1767/13. Which is greater: q or 1?
1
Let h(a) = -4*a + 4. Let w(o) = -7*o + 9. Let k(s) = 5*h(s) - 3*w(s). Let f be k(7). Let l = 141 + -1691/12. Is f at most l?
True
Let l = 76 + -1597/21. Do -1 and l have different values?
True
Let q(v) = -v - 5. Let w be q(0). Let a be 5/15 + 64/(-12). Is w at least a?
True
Let f be 1*((-4)/2 - -2). Let u be 0/(0 + 1 - f). Let y be ((-1)/(-5))/((-9)/(-15)). Which is smaller: u or y?
u
Suppose -i + 2*i - 41 = 3*n, 4*n = -4*i - 28. Is -11 at least n?
True
Let g(d) = d**2 - 6*d + 4. Let r be g(5). Let h be (4/2)/((-6)/(-9)). Suppose -2*q - h*q = 0. Is q != r?
True
Let h be (-2350)/(-20)*(-1)/(-5). Let i = -17 + 40. Let s = h - i. Which is bigger: s or 0?
s
Suppose 0*j + 5*j + 2*t - 9 = 0, -2*j = -5*t + 8. Let l be (1/(-13))/((-4)/8). Is j greater than or equal to l?
True
Let c = 40.9 + -38. Is c at least as big as 0?
True
Suppose -5 = -4*m - 1. Which is greater: m or -1/8?
m
Suppose 3*f - 22 = -5*r, -4*f + 5 = f + 2*r. Let p = -6919663/1487304 - 6/20657. Let c = p - -39/8. Which is bigger: c or f?
c
Suppose -5*o + 3 = 3*g - 4, 5*g - 1 = -3*o. Which is smaller: o or 0?
0
Let k = 465 + -468.89. Let d = k + -0.11. Let f = d + 9. Are f and -1/2 nonequal?
True
Suppose -10*r + 6*r - 4 = 0. Let a be 104/(-80) - (-2 - r). Which is smaller: 0 or a?
a
Suppose 10 + 26 = 3*f. Which is smaller: f or 11?
11
Suppose -3 = 3*g, -98 = -2*h - h + 5*g. Let m = -30 + h. Is m bigger than -1?
True
Let c(w) = -w**2 - 6*w + 2. Let l be c(-6). Suppose -l*g = -7*g + 210. Let d be ((-9)/g)/(3/4). Which is bigger: d or -2/11?
-2/11
Let z(j) = -j**2 + 2*j + 5. Let o be z(4). Suppose -5*b - 13 = -38. Let w be b/(-2) - (-1)/1. Is w < o?
False
Let i be 27/(-18) + (-829)/2. Let h be (-4)/(-6) + i/507. Which is smaller: h or 1?
h
Let k be (-3)/(12/(-16)) + 3. Is 6 > k?
False
Let z = -29 - -4. Is -24 greater than z?
True
Suppose -5*z + 5*t = -z - 26, -10 = 5*t. Are z and 6 equal?
False
Suppose 3*c - 5*c = 0. Suppose c = -2*x + 5*x - 6. Suppose 4*m + 0 = 16. Which is bigger: m or x?
m
Let o = 7 + -5. Suppose -3*v - 4 = 2*z - v, -3*z - 10 = 4*v. Is o at least z?
True
Let p = -4479/20 - -224. Let z = -17/60 - p. Which is bigger: 3 or z?
3
Let i(a) = a. Let n be i(5). Suppose -n*q = 6 - 26. Is 5 less than q?
False
Let z(w) = w**3 - 10*w**2 + 12*w - 7. Let n be z(9). Suppose -3*a - n = a. Are a and -5 unequal?
False
Suppose 3*y = -0*y + 3. Is 9/5 not equal to y?
True
Let k = -5 - -8. Suppose -s - k*s = -4. Suppose -3*a = -2*a - s. Is a not equal to 2/3?
True
Let m(b) = -b**3 - 8*b**2 - 8*b - 8. Let i be m(-7). Let v = -1 + i. Let l = -3 - -2. Which is bigger: v or l?
l
Let r(a) = -15*a - 1. Let w be r(-1). Let i = 27/2 - w. Are i and -2 equal?
False
Let c(i) be the second derivative of i**5/20 + 2*i**4/3 + 5*i**3/6 - 9*i**2/2 - 3*i. Let q be c(-7). Which is smaller: 6 or q?
q
Let j(a) = -a - 13. Let q be j(-13). Let c(t) = t - 5. Let z be c(3). Let x be (0*(-1 - q))/z. Is x smaller than -3/5?
False
Let j = -5.4 + 0.4. Let x = -0.2 - 0. Let b = x + 0.1. Which is smaller: j or b?
j
Let b = -351/35 + 53/5. Is b at most as big as 0.1?
False
Let d = 17 + -15. Is d > 1?
True
Let j be (12/10)/(12/80). Suppose -z - j = 3*z. Let h = 0 + z. Which is smaller: h or -1?
h
Let s = 796073/1932 - 565/92. Let x = 406 - s. Which is smaller: 0 or x?
0
Suppose -3 = 3*z - 24. Suppose 0 = 2*v + z - 3. Do -2 and v have the same value?
True
Let y = 19 - 20. Suppose 156 + 39 = q. Let d = q - 978/5. Is d smaller than y?
False
Let c(a) be the second derivative of 3/20*a**5 + 0 + 0*a**4 + 0*a**2 + 4*a + 1/6*a**3. Let h be c(-1). Do h and -4 have the same value?
True
Let m(n) = n - 6. Let p be 234/14 + (-2)/(-7). Suppose -5*w = -67 + p. Let k be m(w). Is 1 > k?
False
Let x(i) = i - 3. Let p be x(2). Let r(f) = -f. Let g be r(-3). Suppose g*m + 1 = -5. Are m and p equal?
False
Let r be (-1)/7*(5 - 2). Let v = 94 - 95. Which is smaller: v or r?
v
Let p be 6 + -5 - 56/65. Let w = p + 6/13. Suppose 3*j = -0*j. Which is bigger: j or w?
w
Suppose j + 4*j = 5. Let n = j - 2. Let d = 40 - 198/5. Is n >= d?
False
Let w = -58.91 + 60. Let r = -63 + 62.91. Let z = w + r. Is 0 less than or equal to z?
True
Suppose -4*u - 4*q = -2*u + 26, 3*u = 5*q + 16. Is u >= -15?
True
Let n = -9.7 + -3.3. Let r = n - -8. Let x = 5.3 + r. Is 0.1 bigger than x?
False
Let g be 2/3*18/24. Is g at most as big as 15?
True
Let j = -43 - -43.1. Which is greater: j or 2/9?
2/9
Let i = -56 - -113. Let p be 3 - (4 + i/(-51)). Suppose -4*y + y = 4*u - 4, -4*u = -4. Is y greater than or equal to p?
False
Let j be (-1)/(-4) + (-1695)/12. Let z = 703/5 + j. Which is greater: 2/5 or z?
2/5
Let x be (2 + -5)/(2 + -3). Suppose g - 14 = x*g. Which is smaller: g or -6?
g
Let s = 29 - 12. Let g = -20 + s. Which is bigger: g or -0.2?
-0.2
Let i(w) = w - 12. Let j be i(13). Suppose -k - 5 = -3. Let q be k/(-1) + (-57)/27. Are j and q unequal?
True
Let t(q) = -q**3 - 9*q**2 + 12. Let a be t(-9). Which is greater: a or -0.1?
a
Suppose 4*h = 3*b - 4*b, 5*b - 3*h - 23 = 0. Suppose 0 = -4*g - 2*m + 8 + 10, -3*g - 5*m + 10 = 0. Suppose b*c + 1 = g*a - 11, 5*a + c + 3 = 0. Does 0.3 = a?
False
Let s(q) = q**2 + q - 1. Let f be s(-2). Suppose -1 = 2*v + f. Which is bigger: v or -3?
v
Let d be 1 - (-1 + 0) - 9. Let k = 7 + d. Which is smaller: k or 2?
k
Let p be 0/(-1 + 1 + 1). Suppose 3*q = -p*u + 4*u - 6, -q - 10 = -4*u. Is 3 equal to u?
True
Let j be 1/(-4) - (-9)/20. Let q = 18 + -28. Let u be q/(-6) - 4/6. Which is greater: u or j?
u
Suppose -3*m + 373 + 11 = 0. Let q be 2/5 - m/20. Let k = -12 + 7. Is q at least as big as k?
False
Suppose 47*o + 12 = 44*o. Suppose 2 = 5*c + 27. Which is greater: c or o?
o
Let a = 31209/22568 + 3/1736. Which is smaller: a or 0?
0
Let z be -1 + 1 - 24/(-1). Suppose -m - 2*m = -z. Let r = m - 7. Is 1/5 greater than or equal to r?
False
Let q be ((-2)/12)/(1/2). Suppose 0 = -10*i + 3*i + 7. Which is bigger: i or q?
i
Suppose -5*r = -28 + 8. Suppose 0 = r*m + m - 5. Let n = 1627/13 - 125. Which is greater: n or m?
m
Let k be 80/(-182) + (-2)/(-7). Let m = 31 + -16. Let j be (2/6)/(5/m). Which is smaller: k or j?
k
Suppose 0*v + 7*v = 0. Let m = 761/7 + -109. Which is smaller: m or v?
m
Let b = 2 + 12. Let v be (-28)/49 + 4/b. Are 1 and v unequal?
True
Let c be 2 - (2 + 1) - 158/(-166). Which is smaller: 1 or c?
c
Let h be (-9)/3 + 1 - -4. Suppose 4*r = -0*v + v, -4*v + 2*r = 0. Suppose v = -u + 3*u - h. Which is bigger: u or 2?
2
Let d = 7 - 9. Let r be (-5 - -3)/(d/1). Is r at most as big as -2/11?
False
Suppose -f + 6*f - 5 = 0. Let i be -6 - f/(-1)*1. Let o be ((-1)/(-3))/(i/(-45)). Which is smaller: 5 or o?
o
Let j = 7/31 + -561/2759. Do -1 and j have different values?
True
Suppose -3*m + 3*j = -45, -3*m + 51 = -4*j - j. Let g = m + -7. Suppose 3*d - 3*i = 0, -d = i + 3*i - g. Which is bigger: 2 or d?
2
Let m(l) = l**3 - 12*l**2 + 1. Let s be m(12). Let z be s/1 + 48/(-30). Is z smaller than -0.1?
True
Let b = -1301301975/46 + 28280781. Let t = b - -8393. Let m = 3/23 - t. Is m bigger than -2?
True
Suppose -4*n = -2*h - 20, -5*n + 18 = -h - 4. Suppose -4 = n*u - 12. Let p(k) = k**3 - k**
|
{
"pile_set_name": "DM Mathematics"
}
|
e
Is 2010703 prime?
True
Is 2575427 a composite number?
True
Is 447734234 prime?
False
Is 1263569 composite?
False
Is 176713343 a prime number?
True
Is 49974143 prime?
True
Is 2103553 composite?
False
Is 13972669 a composite number?
False
Is 144981841 composite?
False
Is 43326551 prime?
False
Is 6121211 a composite number?
True
Is 7060013 prime?
True
Is 6927509 a prime number?
True
Is 9541547 a composite number?
False
Is 48462941 composite?
True
Is 28237739 prime?
True
Is 12385381 prime?
True
Is 484339 a prime number?
True
Is 1593817 composite?
True
Is 583351 composite?
False
Is 467543 a composite number?
False
Is 19443259 a prime number?
False
Is 8615539 a prime number?
True
Is 1455244361 a composite number?
False
Is 6820831 a prime number?
False
Is 15738577 a prime number?
True
Is 49588223 a prime number?
True
Is 7690031 a composite number?
False
Is 4121081 a composite number?
True
Is 180266063 composite?
True
Is 15496181 a prime number?
False
Is 5820949 a prime number?
False
Is 124998539 a composite number?
True
Is 124096577 a composite number?
True
Is 30039455 composite?
True
Is 46108339 composite?
False
Is 3942479 composite?
False
Is 42945467 a prime number?
True
Is 146847499 a prime number?
True
Is 89263 a composite number?
True
Is 27544331 prime?
True
Is 3167101 composite?
True
Is 62391107 composite?
False
Is 112289035 composite?
True
Is 193828667 a composite number?
True
Is 394383683 a prime number?
True
Is 112906879 prime?
False
Is 7168123 a composite number?
True
Is 436343081 a prime number?
False
Is 1142411 a prime number?
False
Is 24343883 composite?
True
Is 274774121 a prime number?
False
Is 8381207 a prime number?
True
Is 1243093 composite?
False
Is 150000053 composite?
True
Is 9327649 composite?
False
Is 17486153 composite?
True
Is 58028519 a composite number?
False
Is 79347793 a prime number?
False
Is 193417 a composite number?
True
Is 31560673 a prime number?
True
Is 55767611 a composite number?
False
Is 2191723 a composite number?
False
Is 49733969 prime?
True
Is 28919563 prime?
True
Is 258887 a prime number?
True
Is 36247 composite?
True
Is 11594039 a prime number?
True
Is 2449757 prime?
True
Is 5846287 a composite number?
True
Is 8031103 a prime number?
False
Is 95153 composite?
False
Is 8111893 a prime number?
False
Is 2411237 composite?
True
Is 37867403 a prime number?
False
Is 995927 prime?
True
Is 24020287 a prime number?
False
Is 4163987 a composite number?
False
Is 128216611 composite?
True
Is 60932557 a composite number?
True
Is 48021403 a composite number?
False
Is 159439873 a composite number?
True
Is 12763241 a prime number?
True
Is 217074551 prime?
False
Is 173241787 prime?
False
Is 2503093 composite?
True
Is 14630227 composite?
False
Is 903916297 prime?
True
Is 105167 composite?
False
Is 8766514 composite?
True
Is 1756771 prime?
False
Is 11438179 a composite number?
False
Is 4148783 prime?
False
Is 173311 a prime number?
False
Is 230764771 composite?
False
Is 101309801 prime?
True
Is 1955939 composite?
False
Is 10771679 prime?
True
Is 27886039 prime?
True
Is 21431477 composite?
True
Is 37449103 composite?
False
Is 150933 prime?
False
Is 6969757 composite?
False
Is 31701499 a composite number?
True
Is 440831 prime?
True
Is 1262243 composite?
True
Is 197582227 prime?
True
Is 31013426 a composite number?
True
Is 3891991 a composite number?
True
Is 15988927 composite?
False
Is 93793813 prime?
True
Is 4536491 prime?
True
Is 71405881 a composite number?
True
Is 725939 prime?
True
Is 4787161 prime?
True
Is 12250247 a composite number?
False
Is 24880769 a prime number?
True
Is 1533391 prime?
False
Is 307243 composite?
False
Is 26386187 composite?
False
Is 43166869 a composite number?
True
Is 50414663 composite?
True
Is 1619543 prime?
False
Is 362260799 a prime number?
True
Is 1349773 a prime number?
True
Is 62347 a composite number?
False
Is 7855469 a prime number?
True
Is 614621 composite?
True
Is 8531135 a composite number?
True
Is 18522461 composite?
False
Is 7075807 a composite number?
False
Is 16822661 a composite number?
True
Is 554117 a composite number?
False
Is 25758881 composite?
False
Is 6773857 a prime number?
True
Is 1050563 composite?
False
Is 6427061 a composite number?
False
Is 3778531 a prime number?
True
Is 3192743 a prime number?
False
Is 21176879 a prime number?
True
Is 107686941 composite?
True
Is 182956803 composite?
True
Is 1676227 a prime number?
False
Is 2016181 composite?
False
Is 135777301 a composite number?
True
Is 374353 a composite number?
True
Is 7104463 composite?
False
Is 608939 composite?
True
Is 2379865 composite?
True
Is 25251089 a composite number?
False
Is 2427 composite?
True
Is 5123927 composite?
False
Is 2377597 a composite number?
True
Is 8924879 composite?
False
Is 78238003 prime?
False
Is 5935729 a prime number?
False
Is 2389227 a composite number?
True
Is 426073 prime?
True
Is 21088114 a prime number?
False
Is 19895267 a prime number?
False
Is 8559659 prime?
False
Is 163041997 a composite number?
False
Is 9566943 a prime number?
False
Is 43463059 a prime number?
True
Is 1449185 prime?
False
Is 765577 a prime number?
True
Is 245008419 a prime number?
False
Is 81022951 a composite number?
True
Is 907201 prime?
False
Is 911614237 composite?
True
Is 7838951 a prime number?
True
Is 9529399 a prime number?
False
Is 5067145 a prime number?
False
Is 31979993 composite?
True
Is 190302221 a composite number?
False
Is 688679 a prime number?
True
Is 216659887 a prime number?
False
Is 21958691 prime?
True
Is 2931207 composite?
True
Is 1528547 prime?
False
Is 626094499 a composite number?
False
Is 20037859 prime?
True
Is 25072822 a prime number?
False
Is 10102289 a composite number?
False
Is 1031329 a composite number?
True
Is 73721753 a composite number?
True
Is 1372979 composite?
False
Is 1728659 prime?
True
Is 9025949 prime?
False
Is 1478506 composite?
True
Is 3916721 a prime number?
True
Is 243755023 a composite number?
False
Is 37636441 a prime number?
False
Is 1557095 a composite number?
True
Is 18540859 composite?
True
Is 468778007 a composite number?
False
Is 46690243 prime?
True
Is 739266343 composite?
False
Is 42089759 a prime number?
False
Is 1229909 composite?
True
Is 361566229 composite?
True
Is 1511779 prime?
True
Is 4081771 a prime number?
True
Is 9369673 a composite number?
False
Is 18797651 composite?
True
Is 7322795 a composite number?
True
Is 20997511 a prime number?
True
Is 8510701 composite?
False
Is 57266087 a prime number?
True
Is 14713553 a composite number?
False
Is 711246259 prime?
False
Is 588073 a composite number?
False
Is 528871 a composite number?
True
Is 17449841 composite?
True
Is 12266201 prime?
False
Is 126097 a composite number?
False
Is 9734411 a prime number?
True
Is 111136951 composite?
True
Is 20823139 prime?
True
Is 679067 a prime number?
True
Is 35109323 composite?
False
Is 5967899 a composite number?
True
Is 536891 a composite number?
False
Is 62133713 a composite number?
False
Is 86296051 a prime number?
True
Is 19567667 composite?
True
Is 5545105 composite?
True
Is 1222553 composite?
True
Is 4906679 a prime number?
False
Is 20988203 prime?
True
Is 244367767 a prime number?
False
Is 18768073 a prime number?
True
Is 1799639 a composite number?
False
Is 67805761 a prime number?
True
Is 933571 prime?
False
Is 196379401 prime?
True
Is 32360843 a prime number?
False
Is 2283539 a composite number?
False
Is 2501987 composite?
False
Is 553985643 a prime number?
False
Is 16730921 prime?
True
Is 22045841 prime?
True
Is 44932003 a composite number?
True
Is 27486779 a composite number?
False
Is 943037 a composite number?
True
Is 494191 prime?
True
Is 16478047 prime?
False
Is 311371 a prime number?
True
Is 2563205 a prime number?
False
Is 23940463 composite?
True
Is 3392771 composite?
False
Is 1484911 a prime number?
True
Is 3022483 prime?
False
Is 5290357 a composite number?
False
Is 48447673 a composite number?
True
Is 18616997 a composite number?
True
Is 1055251 prime?
True
Is 398669011 composite?
True
Is 43709717 a prime number?
False
Is 4762099 a prime number?
True
Is 11027251 composite?
True
Is 72861347 a composite number?
True
Is 56994869 prime?
True
Is 33076879 a composite number?
True
Is 19176907 composite?
False
Is 6166151 prime?
False
Is 2085
|
{
"pile_set_name": "DM Mathematics"
}
|
w many minutes are there between 3:40 PM and 3:42 PM?
2
How many minutes are there between 8:43 PM and 11:11 PM?
148
What is 39 minutes after 6:39 AM?
7:18 AM
What is 496 minutes before 5:14 AM?
8:58 PM
What is 20 minutes before 12:35 AM?
12:15 AM
How many minutes are there between 8:24 AM and 12:27 PM?
243
How many minutes are there between 2:18 AM and 3:18 AM?
60
What is 685 minutes after 11:05 AM?
10:30 PM
What is 88 minutes after 6:10 AM?
7:38 AM
How many minutes are there between 9:31 PM and 11:56 PM?
145
How many minutes are there between 6:02 PM and 2:29 AM?
507
What is 324 minutes after 10:12 AM?
3:36 PM
What is 692 minutes after 1:53 PM?
1:25 AM
How many minutes are there between 8:12 PM and 1:01 AM?
289
How many minutes are there between 2:28 PM and 3:50 PM?
82
How many minutes are there between 3:36 AM and 2:23 PM?
647
How many minutes are there between 10:38 AM and 6:51 PM?
493
What is 171 minutes after 6:57 PM?
9:48 PM
What is 115 minutes after 7:15 PM?
9:10 PM
What is 552 minutes before 1:10 PM?
3:58 AM
What is 237 minutes before 8:52 AM?
4:55 AM
What is 421 minutes before 9:06 PM?
2:05 PM
What is 399 minutes before 1:22 AM?
6:43 PM
What is 677 minutes after 11:37 PM?
10:54 AM
How many minutes are there between 3:41 AM and 2:04 PM?
623
How many minutes are there between 10:43 PM and 4:57 AM?
374
How many minutes are there between 6:10 PM and 3:51 AM?
581
What is 466 minutes before 11:13 PM?
3:27 PM
How many minutes are there between 6:45 AM and 8:35 AM?
110
What is 165 minutes after 7:15 PM?
10:00 PM
What is 549 minutes after 12:47 PM?
9:56 PM
How many minutes are there between 9:20 PM and 8:50 AM?
690
How many minutes are there between 5:01 PM and 4:46 AM?
705
How many minutes are there between 1:37 PM and 4:01 PM?
144
How many minutes are there between 12:06 PM and 3:01 PM?
175
How many minutes are there between 2:55 AM and 9:41 AM?
406
How many minutes are there between 5:58 AM and 7:29 AM?
91
What is 135 minutes after 3:05 AM?
5:20 AM
What is 634 minutes before 9:00 PM?
10:26 AM
How many minutes are there between 2:35 PM and 4:51 PM?
136
What is 237 minutes after 12:12 AM?
4:09 AM
How many minutes are there between 8:32 PM and 7:39 AM?
667
What is 56 minutes before 10:47 AM?
9:51 AM
How many minutes are there between 3:05 PM and 8:50 PM?
345
How many minutes are there between 3:31 AM and 3:01 PM?
690
How many minutes are there between 10:00 AM and 9:37 PM?
697
How many minutes are there between 2:14 PM and 11:58 PM?
584
What is 559 minutes after 5:03 PM?
2:22 AM
How many minutes are there between 2:50 AM and 9:16 AM?
386
How many minutes are there between 2:42 AM and 9:24 AM?
402
What is 207 minutes before 5:28 PM?
2:01 PM
What is 135 minutes after 12:33 PM?
2:48 PM
How many minutes are there between 3:04 PM and 4:35 PM?
91
How many minutes are there between 3:27 AM and 11:05 AM?
458
How many minutes are there between 9:23 PM and 6:35 AM?
552
How many minutes are there between 11:55 PM and 6:29 AM?
394
What is 690 minutes before 4:29 PM?
4:59 AM
How many minutes are there between 3:09 AM and 11:20 AM?
491
What is 374 minutes before 6:06 PM?
11:52 AM
What is 552 minutes after 10:20 PM?
7:32 AM
What is 360 minutes after 3:31 AM?
9:31 AM
How many minutes are there between 2:34 AM and 3:27 AM?
53
What is 41 minutes after 8:46 AM?
9:27 AM
What is 691 minutes before 12:58 AM?
1:27 PM
What is 693 minutes before 8:42 AM?
9:09 PM
What is 160 minutes before 2:46 AM?
12:06 AM
How many minutes are there between 5:42 PM and 7:52 PM?
130
How many minutes are there between 1:41 PM and 11:32 PM?
591
What is 639 minutes before 6:22 PM?
7:43 AM
How many minutes are there between 12:47 PM and 11:39 PM?
652
How many minutes are there between 2:31 AM and 7:20 AM?
289
What is 264 minutes after 6:01 AM?
10:25 AM
What is 203 minutes before 4:07 AM?
12:44 AM
How many minutes are there between 3:55 AM and 3:40 PM?
705
How many minutes are there between 7:19 AM and 11:44 AM?
265
What is 707 minutes after 10:53 AM?
10:40 PM
What is 63 minutes after 2:11 PM?
3:14 PM
What is 646 minutes after 2:13 AM?
12:59 PM
How many minutes are there between 3:17 AM and 11:27 AM?
490
What is 605 minutes after 2:47 PM?
12:52 AM
How many minutes are there between 10:32 AM and 8:20 PM?
588
How many minutes are there between 6:44 AM and 9:58 AM?
194
What is 53 minutes after 5:22 PM?
6:15 PM
How many minutes are there between 8:28 PM and 11:14 PM?
166
What is 141 minutes before 9:58 AM?
7:37 AM
How many minutes are there between 8:31 PM and 9:23 PM?
52
What is 36 minutes after 9:46 AM?
10:22 AM
How many minutes are there between 8:41 PM and 4:27 AM?
466
How many minutes are there between 7:15 AM and 1:46 PM?
391
How many minutes are there between 5:18 PM and 9:18 PM?
240
How many minutes are there between 5:16 AM and 6:48 AM?
92
What is 387 minutes before 2:41 AM?
8:14 PM
What is 52 minutes after 10:16 AM?
11:08 AM
How many minutes are there between 5:28 AM and 7:40 AM?
132
What is 167 minutes before 2:02 PM?
11:15 AM
How many minutes are there between 12:50 AM and 12:09 PM?
679
How many minutes are there between 4:39 PM and 7:30 PM?
171
How many minutes are there between 8:14 AM and 6:44 PM?
630
How many minutes are there between 9:48 AM and 2:52 PM?
304
What is 50 minutes before 5:23 PM?
4:33 PM
What is 341 minutes after 8:55 AM?
2:36 PM
How many minutes are there between 7:20 PM and 8:16 PM?
56
What is 700 minutes before 2:30 PM?
2:50 AM
What is 573 minutes before 4:19 AM?
6:46 PM
How many minutes are there between 2:34 PM and 4:15 PM?
101
How many minutes are there between 4:46 AM and 10:09 AM?
323
What is 11 minutes after 6:07 AM?
6:18 AM
What is 448 minutes after 10:22 AM?
5:50 PM
What is 98 minutes after 12:23 AM?
2:01 AM
What is 664 minutes before 8:23 AM?
9:19 PM
What is 44 minutes before 9:35 AM?
8:51 AM
What is 149 minutes before 2:45 AM?
12:16 AM
How many minutes are there between 6:47 PM and 9:02 PM?
135
How many minutes are there between 3:22 PM and 8:59 PM?
337
How many minutes are there between 2:39 PM and 12:26 AM?
587
How many minutes are there between 1:35 AM and 9:23 AM?
468
How many minutes are there between 12:19 PM and 9:55 PM?
576
How many minutes are there between 3:49 PM and 11:43 PM?
474
How many minutes are there between 7:15 PM and 7:25 PM?
10
How many minutes are there between 9:43 PM and 7:24 AM?
581
What is 321 minutes after 8:07 PM?
1:28 AM
How many minutes are there between 12:49 AM and 10:17 AM?
568
How many minutes are there between 11:23 AM and 6:57 PM?
454
How many minutes are there between 3:15 PM and 6:20 PM?
185
How many minutes are there between 1:39 AM and 2:27 AM?
48
What is 514 minutes after 7:37 PM?
4:11 AM
How many minutes are there between 8:47 PM and 12:45 AM?
238
How many minutes are there between 6:57 PM and 9:43 PM?
166
What is 582 minutes after 10:46 PM?
8:28 AM
What is 634 minutes before 3:22 AM?
4:48 PM
What is 419 minutes after 2:41 PM?
9:40 PM
What is 41 minutes before 12:01 AM?
11:20 PM
What is 570 minutes after 9:43 PM?
7:13 AM
What is 156 minutes before 5:06 AM?
2:30 AM
What is 467 minutes before 8:52 PM?
1:05 PM
What is 355 minutes before 2:43 AM?
8:48 PM
What is 485 minutes before 3:46 AM?
7:41 PM
How many minutes are there between 6:07 PM and 3:23 AM?
556
How many minutes are there between 1:19 AM and 9:24 AM?
485
What is 485 minutes after 1:12 PM?
9:17 PM
What is 344 minutes after 2:45 PM?
8:29 PM
What is 685 minutes after 3:22 PM?
2:47 AM
How many minutes are there between 6:47 PM and 12:14 AM?
327
How many minutes are there between 11:09 PM and 12:38 AM?
89
How many minutes are there between 5:39 PM and 2:16 AM?
517
What is 76 minutes before 4:46 PM?
3:30 PM
What is 293 minutes after 5:27 PM?
10:20 PM
What is 244 minutes before 5:06 AM?
1:02 AM
How many minutes are there between 12:13 AM and 5:50 AM?
337
What is 623 minutes before 8:18 AM?
9:55 PM
What is 439 minutes after 9:02 PM?
4:21 AM
How many minutes are there between 2:45 PM and 11:33 PM?
528
How many minutes are there between 10:37 AM and 9:44 PM?
667
How many minutes are there between 9:10 AM and 8:41 PM?
691
What is 502 minutes before 7:14 PM?
10:52 AM
How many minutes are there between 5:20 AM and 7:56 AM?
156
How many minutes are there betwee
|
{
"pile_set_name": "DM Mathematics"
}
|
273*t
Collect the terms in -653*k - 2*k**3 + 647*k + 0*k**3.
-2*k**3 - 6*k
Collect the terms in 38 - 5*a**2 + 269*a**3 + 277*a**3 + 5*a**2 - 547*a**3.
-a**3 + 38
Collect the terms in 3878*n + 1619*n + 5423*n + 2139*n.
13059*n
Collect the terms in 9*x**2 + 107*x**2 - 3 + 3 + 385*x**2.
501*x**2
Collect the terms in 80 - 41 - 39 + 310*g**3.
310*g**3
Collect the terms in 2*k + 22 + k + 3*k + 11*k.
17*k + 22
Collect the terms in 3 + 2 - 140536*u - 3 + 140561*u.
25*u + 2
Collect the terms in -7205*v - 4 + 5701*v + 4.
-1504*v
Collect the terms in -3 - 5 - 19678*p - 24*p**2 + 39357*p - 19679*p.
-24*p**2 - 8
Collect the terms in -8*i**3 - 23*i**3 + 10*i**3 - 11*i**3.
-32*i**3
Collect the terms in 3534*b + 1679*b + 570*b.
5783*b
Collect the terms in 89042*p + 1 - 89044*p + 0 - 1.
-2*p
Collect the terms in -63 - 255*f + 61 + 223*f - 524*f.
-556*f - 2
Collect the terms in 167*h**3 - 37*h**3 - 38*h**3 - 54*h**3.
38*h**3
Collect the terms in 236*k - 2 + 2*k**2 - 236*k - 85*k**2 - 461*k**2.
-544*k**2 - 2
Collect the terms in -106*g**2 + 328*g**2 - 107*g**2 - 103*g**2.
12*g**2
Collect the terms in 2*v + 97371 + 2*v - 97371.
4*v
Collect the terms in 60*h**3 - 164*h**3 + 76*h**3 + 4*h.
-28*h**3 + 4*h
Collect the terms in -44*u - 365*u + 409*u - u**3.
-u**3
Collect the terms in 3*j - 63 - 157 - 2*j.
j - 220
Collect the terms in 463*t**3 - 3 - 104*t**3 + 3 - 230*t**3.
129*t**3
Collect the terms in -46*z**2 - 2544944 + 2544944.
-46*z**2
Collect the terms in -92*r**3 + 213*r**3 + 274*r**3.
395*r**3
Collect the terms in -88 + 25 + 2*r**2 - 30 - 12.
2*r**2 - 105
Collect the terms in -4650*m - 32 + 4649*m - 167 + 51.
-m - 148
Collect the terms in -27*w**2 + 6*w - 3*w - 3*w.
-27*w**2
Collect the terms in 16 - 32*z**2 - 41*z**2 + 4 + 71*z**2.
-2*z**2 + 20
Collect the terms in 542*r**2 + 4524*r**2 + 549*r**2 + 3069*r**2.
8684*r**2
Collect the terms in 5*f**3 - 48*f**3 + 42*f**3 - 1050*f.
-f**3 - 1050*f
Collect the terms in -20 + 21 - 21 + 34 - 19 - 4*n.
-4*n - 5
Collect the terms in 378*u**2 - 378*u**2 - 1886*u**3.
-1886*u**3
Collect the terms in -1 + 2159*s + 1 + 2212*s - 4411*s.
-40*s
Collect the terms in 136*r - 19 - 68*r + 8 + 11 - 67*r.
r
Collect the terms in 6*n - 30*n - 3*n + 4*n + 16*n.
-7*n
Collect the terms in 233*z**3 + 333*z**3 - 756*z**3.
-190*z**3
Collect the terms in -3*w + 1 - 4*w**3 + 2*w - 9.
-4*w**3 - w - 8
Collect the terms in -k**2 - 9203590717877 + k - k + 9203590717877.
-k**2
Collect the terms in 107899*i**2 - 53940*i**2 - 53959*i**2 - 30*i**3.
-30*i**3
Collect the terms in 278 + 285 - 852 + 289 - 10*u**2.
-10*u**2
Collect the terms in 5*o**3 + 244877755 - 244877755.
5*o**3
Collect the terms in -5223 - 5218 + 10441 - 49*l**2.
-49*l**2
Collect the terms in -11422*o**3 + 0*o**2 + 0*o**2.
-11422*o**3
Collect the terms in 1999*u - 185*u**2 + 2003*u - 4002*u.
-185*u**2
Collect the terms in 425*o + 1752*o + 2504*o.
4681*o
Collect the terms in -19 + 19 - 310*s**2 - 331*s**2 + 651*s**2.
10*s**2
Collect the terms in -27705*z**2 - 144*z + 144*z + 27708*z**2.
3*z**2
Collect the terms in -124*z + 114*z - 8*z**2 - 41*z**2 - 13*z**2.
-62*z**2 - 10*z
Collect the terms in 16 - 3373*a**3 - 3371*a**3 + 6745*a**3 - 16.
a**3
Collect the terms in 13065*d**2 - 13068*d**2 - 2 + 3 - 1.
-3*d**2
Collect the terms in -5757 - 8479 - n**2 + 955 - n**2.
-2*n**2 - 13281
Collect the terms in -2024*h**2 - 5*h**3 + 3*h**3 + 2024*h**2 + 91 + 3*h**3.
h**3 + 91
Collect the terms in 12*r**2 + 67*r**2 + 5*r**2 - 74*r**2.
10*r**2
Collect the terms in -292*c - 2 + 282*c + 2.
-10*c
Collect the terms in -6 + 6 + 18*f**2 + 2*f**2 - 12*f**2.
8*f**2
Collect the terms in -10*w + 110*w**2 - 30*w**2 - 28*w**2 - 53*w**2.
-w**2 - 10*w
Collect the terms in -84*t**2 + 84*t**2 + 226*t**3.
226*t**3
Collect the terms in -2 + 24966*a + 4 - 4.
24966*a - 2
Collect the terms in 536733*f**2 - 51*f - 536734*f**2 + 51*f.
-f**2
Collect the terms in -52 + 4134*l**3 - 41 - 4137*l**3.
-3*l**3 - 93
Collect the terms in -91*w**2 - 15*w**2 - 37*w**2 - 39*w**2.
-182*w**2
Collect the terms in -22*u**2 - 24*u**2 - 13*u**2 + 106*u**2 - 4*u**2 - 22*u**2.
21*u**2
Collect the terms in 0*x + 4 + 0*x + 466*x**2 + 0*x - 913*x**2 + 446*x**2.
-x**2 + 4
Collect the terms in -2*n**2 + n**2 - 138*n**3 + 4*n**2 + 0*n**2.
-138*n**3 + 3*n**2
Collect the terms in z + 3 + 9*z - 1 - 14*z.
-4*z + 2
Collect the terms in 2866957*z**2 + 0 - 2866950*z**2 + 0.
7*z**2
Collect the terms in -92508*f**3 - 301*f + 92514*f**3 + 307*f.
6*f**3 + 6*f
Collect the terms in 771*r**3 - r - 301*r**3 + r + 587*r**3.
1057*r**3
Collect the terms in 129*k**2 + 128*k**2 + 121*k**2 - 494*k**2 + 121*k**2.
5*k**2
Collect the terms in 10*p**2 - 17*p**3 - 2 + 2 - 20*p**3 + 38*p**3.
p**3 + 10*p**2
Collect the terms in -370*x**3 + 76*x**3 + 88*x**3 + 85*x**3 + 77*x**3 + 73*x**3.
29*x**3
Collect the terms in 9*p**2 - 2*p - 5*p**2 - 11*p**2 + 0*p + 22*p**2.
15*p**2 - 2*p
Collect the terms in -11*z + 14*z + 20*z - 2*z + 15*z.
36*z
Collect the terms in -d**3 + 4*d**3 - d**3 - 5*d**3 - 3*d**3 + 7*d**3.
d**3
Collect the terms in -5*q**2 - 249*q**3 + 388*q**3 - 24 + 24.
139*q**3 - 5*q**2
Collect the terms in -62*k - 36*k + 165*k - 36*k.
31*k
Collect the terms in -167*v**2 + 82*v**2 + 66*v**3 + 85*v**2.
66*v**3
Collect the terms in 648171 - 324035 - 324136 + r.
r
Collect the terms in -23*b + 3 - 7*b + b - 4*b.
-33*b + 3
Collect the terms in -19916 + 19916 - 4*c - 58*c**2.
-58*c**2 - 4*c
Collect the terms in 2415*k + 3 - 11 + 7.
2415*k - 1
Collect the terms in 2*p**3 - 1067623304*p + 1067623304*p.
2*p**3
Collect the terms in 309*k**3 - 5 + 308*k**3 + 20 - 619*k**3.
-2*k**3 + 15
Collect the terms in -1370 + 1370 + 34*k**3 - 48*k**3.
-14*k**3
Collect the terms in 357 - 781 + 431 - d.
-d + 7
Collect the terms in -106*j**3 - 18 + 18 + 333*j**3 + 421*j**3.
648*j**3
Collect the terms in 3196*l - 3196*l + 58*l**2 - 41*l**2.
17*l**2
Collect the terms in -7314 + 11*b - 20*b + 7314 + 12*b.
3*b
Collect the terms in 238*d**3 + 361*d**3 + 324*d**3 - 2.
923*d**3 - 2
Collect the terms in 908*b**2 - 313*b**2 - 341*b**2 - 301*b**2.
-47*b**2
Collect the terms in -13 - 6 + 35 - 16 - 2549*f.
-2549*f
Collect the terms in 161*v + 163*v - 612*v + 158*v + 165*v.
35*v
Collect the terms in 464*o**2 - 1890*o + 1890*o.
464*o**2
Collect the terms in 324 - 26*m**2 - 2*m**2 - 331.
-28*m**2 - 7
Collect the terms in -193*p**3 + 127*p**3 + p**2 + 6*p**2 + p**2.
-66*p**3 + 8*p**2
Collect the terms in 3813*k**3 - 1803*k**3 - 3 - 1835*k**3.
175*k**3 - 3
Collect the terms in -43633191 - 7*u**2 + 43633191.
-7*u**2
Collect the terms in 5 - 257*m - 107*m**2 + 104*m**2 - 5.
-3*m**2 - 257*m
Collect the terms in 4 + 11*h - 222*h**3 + 5*h + 9*h - 25*h.
-222*h**3 + 4
Collect the terms in 130*y**2 - 3 - 256*y**2 + 123*y**2 + 3.
-3*y**2
Collect the terms in 118*y**2 - 2254*y**3 - 118*y**2 - 374*y**3.
-2628*y**3
Collect the terms in -17*h**3 - 707507*h + 707507*h.
-17*h**3
Collect the terms in -w**2 - 13*w**2 - 346377 + 346377.
-14*w**2
Collect the terms in -4825*j**2 - 174*j**2 - 1587*j**2.
-6586*j**2
Collect the terms in -385*w**2 + 516*w**2 - 4*w + 4*w - 129*w**2.
2*w**2
Collect the terms in -42*i + 3*i**2 + 42*i - 10*i**2.
-7*i**2
Collect the terms in -116*q + 116*q + 1 - 3219*q**3.
-3219*q**3 + 1
Collect the terms in -3*o**2 + 1058 - 1307 + 249.
-3*o**2
Collect the terms in -5 + 461*i + 802*i + 5.
1263*i
Collect the terms in -2*n**2 + 0*n + 0*n - 53*n**2 + 388*n**2.
333*n**2
Collect the terms in 64*m**3 - 68 + 6*m**2 + 70 - 6*m**2.
64*m**3 + 2
Collect the terms in -692 + 0*n + 1403 - 711 + 4*n - 3*n.
n
Collect the terms in -968*l + 39 - 23 + 1356*l - 17.
388*l - 1
Collect the terms in 0*j - 3*j - 110737*j**2 + 3*j.
-110737*j**2
Collect the terms in 0*h**2 + 650*h**3 + h - 10*h**2 + 4*h**2.
650*h**3 - 6*h**2 + h
Collect the terms in 511*g**3 - 24*g**2 + 38*g**2 - 14*g**2.
511*g**3
Collect the terms in 904 + 890 + 24*n**2 + 10*n**2 - 1794.
34*n**2
Collect the terms in -15414 - 154*b**2 + 15414.
-154*b**2
Collect the terms in -6 - 22971*x**2 + 6 - 3887*x**2.
-26858*x**2
Collect the terms in -217 + 217 - 2234*q**3.
-2234*q**3
Collect the terms in -4*q + 112 - 336 + 112 + 112.
-4*q
Collect the terms in 20*c - 24*c**3 + 2*c - 3*c + 19*c**3.
-5*c**3 + 19*c
Collect the terms in -205 + 72 + 164*x + 74 + 66.
164*x + 7
Collec
|
{
"pile_set_name": "DM Mathematics"
}
|
56)/(-6). What is the remainder when r(t) is divided by o(4)?
2
Let d = -47 + 147. Calculate the remainder when d is divided by 34.
32
Suppose 3*y - 649 = -p, -634 = -3*y - 0*y - 4*p. Suppose -12*x - 110 = -14*x. What is the remainder when y is divided by x?
53
Suppose f - 3*n - 12 = -5*n, 5*f - 4*n = 18. Let y(z) = -z**3 + 4*z**2 + 14*z - 4. Calculate the remainder when 39 is divided by y(f).
7
Let r be 214/6 + 9/27. Suppose 4*h = -4*g + r, -h = 1 - 2. What is the remainder when g is divided by 5?
3
Let x(t) = -14*t - 7. Let y be x(-6). Let m = 136 - y. What is the remainder when m is divided by 15?
14
Suppose 5*i = 4*w - 53 - 12, 4*i + 30 = w. Calculate the remainder when w is divided by 3.
1
Calculate the remainder when -1 - 0 - 13/(39/(-186)) is divided by 14.
5
Let u = 517 - 492. What is the remainder when 1397 is divided by u?
22
Let p(n) = -n**3 + 6*n**2 + 13*n + 5. Let r be p(7). Let s = r + -36. Calculate the remainder when 21 is divided by s.
10
Let u(l) = -16*l - 112. What is the remainder when 62 is divided by u(-8)?
14
Let o = -746 + 916. What is the remainder when o is divided by 4?
2
Suppose s - 4*n = -5, s + 22 = 5*s + 5*n. Suppose -2*q = -q - 4*a - 38, -s*a = q - 59. Calculate the remainder when q is divided by 13.
11
Let a(k) = 2*k**3 - 35*k**2 + 30*k + 41. Let o(g) = -g**3 + 17*g**2 - 15*g - 21. Let n(q) = -2*a(q) - 5*o(q). What is the remainder when n(14) is divided by 7?
2
Let p = 41 + -30. Let g = 14 - p. Suppose -212 = -7*q + g*q. Calculate the remainder when q is divided by 11.
9
Let l(d) be the second derivative of -d**4/3 - 7*d**3/2 + 3*d**2/2 + 40*d. Calculate the remainder when 14 is divided by l(-5).
6
Suppose -d + 14 = 17. What is the remainder when 1/(1992/663 + d) is divided by 32?
29
Let a = 15 + -13. Suppose 5*q + 55 = -5*l, -2 = 2*l - l - a*q. Let p(b) = -b**2 - 9*b + 1. What is the remainder when p(l) is divided by 5?
4
Suppose 0 = -23*h + 22*h + 26. Let n = -21 + h. Let a = -5 - -18. Calculate the remainder when a is divided by n.
3
Let q be ((-12)/15)/(-3 - (-1131)/375). Let u = q + 69. What is the remainder when 94 is divided by u?
18
Let c = 33 - 29. Suppose c*i + 0*i - 20 = 0, -p = -i - 16. What is the remainder when 40 is divided by p?
19
Suppose -h + 564 = 5*k - 1000, -3*h - 3 = 0. What is the remainder when k is divided by 63?
61
Suppose -2*p - 4 = 0, 3*a - 20 = -2*a - 5*p. Suppose 3*j = a*j - 57. What is the remainder when 90 is divided by j?
14
What is the remainder when 115 is divided by (2 + 0)*(-14)/28 - -60?
56
Suppose 2*w = -20 + 4. Calculate the remainder when (0 - 12/(-15))/(w/(-820)) is divided by 28.
26
Let m be (-3 - -4)/((-3)/(-3 + 18)). Let f(r) = -r**3 - 3*r**2 + 11*r + 39. What is the remainder when 131 is divided by f(m)?
29
Let s(n) = -n**2 + 17*n + 37. Let f = 8 - 1. Let i = 6 + f. What is the remainder when s(17) is divided by i?
11
Let q be (3*4 + -1)/1. Suppose -55 = -3*d + 17. Let a = d - q. Calculate the remainder when 22 is divided by a.
9
Let z(o) = -16*o**3 - o**2 + o + 1. What is the remainder when z(-2) is divided by 33?
24
Let x = 31 + -10. Suppose -4*l = -2*t - l + 39, -3*l = -t + 27. Calculate the remainder when x is divided by t.
9
Suppose 0 = -2*c - 4*z + 164, 0 = 3*c + 5*z - 118 - 133. Calculate the remainder when c is divided by 23.
0
Suppose 18*r - 9080 = 11656. Calculate the remainder when r is divided by 15.
12
What is the remainder when 283 is divided by 5/20 + (-1528)/(-32)?
43
Let l(v) = 104*v**3 - 5*v + 4. Suppose -3*f = 3*p - 30, -4*f + 4*p + 0*p + 80 = 0. Calculate the remainder when l(1) is divided by f.
13
Let p be 7/(-21) + 1/3. Let i = 34 - p. Calculate the remainder when 66 is divided by i.
32
Suppose 67*f = -2025 + 31304. Calculate the remainder when f is divided by 88.
85
Suppose 4*p - 19 - 921 = 0. Calculate the remainder when p is divided by 30.
25
Let v(a) = 28*a**3 - 3*a + 1. Calculate the remainder when 1*-1 - 153/(-3) is divided by v(1).
24
Let a(p) = p**3 + 18*p**2 + 76*p - 33. Calculate the remainder when a(-10) is divided by 1 - (2 - (4 - 0)).
1
Suppose -61 = -l - 2*j, 5*l = 3*l + 3*j + 87. Let u = -32 + l. Let k = -22 + 97. What is the remainder when k is divided by u?
18
Let m = 16 - -102. Let h = m + -114. Calculate the remainder when 14 is divided by h.
2
Let s(y) = -1 - 5*y**3 - 5*y + 4*y - y + 0. Let r be s(-1). Suppose 402 = -0*l + r*l. What is the remainder when l is divided by 23?
21
Let w = -34 - -39. Calculate the remainder when 27 is divided by 48/w - 2/(-5).
7
Suppose -10*y - 30*y = -1880. What is the remainder when 228 is divided by y?
40
Suppose 0 = -2*d + 23 + 67. Suppose 0 = -4*p + 3*h + d, 0*h - 1 = -h. What is the remainder when 33 is divided by p?
9
What is the remainder when 20 is divided by 1 + 15/(-1 + 4)?
2
Let u = 878 - 811. What is the remainder when 80 is divided by u?
13
Suppose 3*t + 4*m = 91, 3*t - m - 99 = -13. Calculate the remainder when 86 is divided by t.
28
Suppose 4*g = g + 5*i + 30, 20 = 2*g - 2*i. Suppose 0 = g*h - 8*h + 20. Let w = h + 32. What is the remainder when 41 is divided by w?
19
Let q be (-4631)/(-44) + (-2 + 5)/(-12). What is the remainder when 173 is divided by 3 - (q/(-5) - -2)?
19
Suppose 0 = -8*u + 4*u. Suppose 4*s = n + 71, u*n + 4*n = s + 1. What is the remainder when 37 is divided by s?
18
Suppose 1566 = 13*a - 7*a. What is the remainder when a is divided by 12?
9
Let p = 219 + -207. Let q(l) = 2*l + 16. Let d(i) = 5*i + 33. Let x(h) = -6*d(h) + 14*q(h). What is the remainder when 12 is divided by x(p)?
0
Let b = -39 + 111. Suppose 3*g - 40 = -4*v, -4*v + 4*g = -g - b. Let o = -9363 - -9370. What is the remainder when v is divided by o?
6
Suppose -d - 425 = -2*a - 6*d, -d + 605 = 3*a. What is the remainder when a is divided by 21?
11
Suppose 0 = y - a - 2*a - 50, 5*y + 5*a - 350 = 0. Calculate the remainder when 129 is divided by y.
64
Suppose 0 = 4*n - 0*n. Suppose 2*o - 10 = -4*m, n = -11*o + 7*o + 3*m + 20. What is the remainder when 23 is divided by o?
3
What is the remainder when 44 is divided by 1/(2/(-14))*-6?
2
Let c(h) = -h**2 - 7*h + 7. Suppose -2*g = g - 12. Suppose g*u = -49 + 245. Calculate the remainder when u is divided by c(-6).
10
Let x(z) = z**2 - 4. Let i be x(9). Suppose i = 8*o - 11. Calculate the remainder when 63 is divided by o.
8
Let n(g) = 4*g**2 + 43*g + 24. Calculate the remainder when n(-14) is divided by 21.
17
Let q be 5 - 1 - (-2 + 4). Suppose q*v + 3*k - 188 = -0*k, -2*v + 3*k = -188. What is the remainder when v is divided by 16?
14
Let k = 14 + -17. Let b = k - -223. Suppose -5*q + 2*t = -257, b = 4*q - 0*q + 2*t. Calculate the remainder when q is divided by 14.
11
Suppose -136 = 16*t - 24*t. Suppose -2*w - 5*c = -9, 3*w + 4*c = t + 7. Calculate the remainder when w is divided by 8.
4
What is the remainder when (2 - 234)/(-4) - 84/(-14) is divided by 28?
8
Suppose -5*a = 4*b + 250, 4*a = -2*b + 4*b - 226. Let p = a - -55. Calculate the remainder when (6/(-2))/(0 - 1) is divided by p.
0
Let m be 4/(-22) + (-476)/44. Let s be (-2 - -1)/((-2)/(-34)). Let c = m - s. Calculate the remainder when 11 is divided by c.
5
Let l(x) = -4*x + 48. Let c be l(23). Calculate the remainder when 139 is divided by (33/c)/(1/(-64)).
43
What is the remainder when 67 is divided by -1 + 88/10 - (-92)/(-115)?
4
Suppose g = -4*g + 5. Suppose -q - g = 8. Let h = 17 + q. What is the remainder when 21 is divided by h?
5
What is the remainder when 219 is divided by 5 + -4 + -8 - -120?
106
Let v(m) = -8*m - 12. Let z(f) = -1 + 3*f + 4*f + 12. Let n(h) = 5*v(h) + 6*z(h). What is the remainder when 47 is divided by n(5)?
15
Let f = 118 + -109. Let n be (-401 + 2)/(-3) + -3. Suppose 3*k - 8*k = -n. Calculate the remainder when k is divided by f.
8
Let b(h) = -h - 6 + 3*h - 11 - 3*h. Let c be b(15). Let d = c + 56. Calculate the remainder when 93 is divided by d.
21
Suppose 0 = -5*d + 58 + 437. Let h be ((-36)/(-8) - 3)*(-26)/(-1). Let k = h - 14. Calculate the remainder when d is divided by k.
24
Let m(q) = -q**2 + 8*q + 10. Let y be m(8). Suppose -12*h = -y*h - 14. Let b(a) = a**3 - 5*a**2 - 11*a + 10. Calculate the remainder when b(h) is divided by 11.
9
Let f = 3 - -2. Let k(d) be the first derivative of d**4/4 + 3*d**3 + 8*d - 7. What is the remainder when k(-9) is divided
|
{
"pile_set_name": "DM Mathematics"
}
|
)/(-18)). What is u(r)?
3
Let i = 74 - 54. Suppose 4*d - 8 = 2*b, 0 = 5*b + 6*d - d + i. Let k(l) = l**2 + 10*l + 4. Give k(b).
-20
Let w(l) be the first derivative of 5*l**2/2 - 147*l - 1594. Determine w(30).
3
Let p(c) = c**3 - 3*c**2 - 3*c + 7. Let g(h) = 4*h - 271. Let t be g(67). Calculate p(t).
-38
Let p(w) be the third derivative of 0 + 0*w - 5/6*w**3 - 1/12*w**4 + 29*w**2. Suppose q - 8*q - 42 = 0. Determine p(q).
7
Let o(b) = b**3 - 10*b**2 + 10*b - 11. Let u be o(9). Let g(v) = v + 14*v + 0*v - 16*v - v. What is g(u)?
4
Let w = 21850 - 21861. Let r(c) = c + 4. What is r(w)?
-7
Let t be 3 + (-16*1)/(-4) + -12. Let f(d) = -3*d**2 - 29*d - 13. Let q(w) = w**2 + 14*w + 7. Let p(l) = t*q(l) - 2*f(l). Calculate p(13).
4
Let o(a) = 211*a - 4838. Let z be o(23). Let u(q) = -q**3 + 15*q**2 + q + 25. Give u(z).
40
Let s = 176664 - 176663. Let g(r) be the second derivative of 4*r**3/3 + 7*r**2/2 + r. Let j(y) = -7*y - 6. Let p(w) = 6*g(w) + 7*j(w). Calculate p(s).
-1
Suppose -70*z - 119 = -75*z + y, -5*y = -5. Let m(n) be the first derivative of 3*n + 2*n**2 + 1/4*n**4 - z + 1/3*n**3. Calculate m(-2).
-9
Let n(o) = -3*o - 2. Let h(x) = x**2 + 6*x + 15. Let f(g) = h(g) - 4*n(g). What is f(-14)?
-33
Let z(j) = 18*j**3 + 2*j**2 - 2*j + 39. Let p(d) = 11*d**3 + d**2 - d + 25. Let f(y) = 8*p(y) - 5*z(y). Give f(-4).
93
Suppose 0 = 34*r + 1 - 307. Let p(f) = -14*f**2 + 129*f - 20. Let t be p(r). Let l(g) be the second derivative of -g**4/12 + g**3 + 2*g**2 - g. Determine l(t).
-3
Let r(d) be the first derivative of -2*d**3/3 + 3*d**2/2 + 2*d + 8. Let q be 4 + -15 + 2/(-6*(-2)/42). Give r(q).
-42
Suppose 5*x + 20*l = 19*l - 80, -2*x = 2*l + 24. Let c(w) = -w**3 - 16*w**2 + 14*w - 17. Give c(x).
34
Let a = -22 - -12. Let d(k) = 6 - 4089090*k + 4089088*k - 16. Determine d(a).
10
Let f(l) = l - 1. Let o be f(4). Suppose o*g - 61 + 70 = 0. Let y(p) = -4*p - 1. Determine y(g).
11
Let f(m) = 11*m**2 + m. Let l be f(-1). Let z be (-4 + 16)/(-6) - l/(-1). Let o(u) = 4*u - 10. Give o(z).
22
Let a be (3 - (-6)/(-2))/(-4). Suppose -5*z - 49 - 61 = a. Let g be (-4)/z + (-748)/121. Let p(f) = -f**2 - 7*f - 1. Give p(g).
5
Let v(k) be the second derivative of k**5/60 + k**4/24 + 4*k**3/3 + 2*k**2 + 4*k - 6. Let w(h) be the second derivative of v(h). What is w(-6)?
-11
Let c = 5 - 2. Let j(t) = t**3 - t**2 + 144*t + 1. Let b(w) = -3*w**3 + 3*w**2 - 291*w - 1. Let v(a) = -b(a) - 2*j(a). What is v(c)?
26
Let b(n) = -3*n**2 + 27*n - 30. Let q be b(7). Let s(g) = -g + 381 - 4*g + 4*g - 380. Calculate s(q).
-11
Let y(f) be the second derivative of -f**5/20 - 3*f**4/4 + 20*f**3/3 + 53*f**2/2 - 980*f + 5. Give y(-12).
5
Let z = -74/107 - -5189/6420. Let t(a) be the third derivative of 24*a**2 + 0*a + 0 + 1/6*a**3 - 1/120*a**6 - 1/3*a**4 + z*a**5. What is t(6)?
-11
Let q(a) = -2*a + 21. Let p(w) = -2*w + 24. Let x(v) = -5*p(v) + 6*q(v). Calculate x(2).
2
Let h(r) be the third derivative of 65*r**2 + 1/12*r**4 + 0*r - 11/3*r**3 + 0. Calculate h(14).
6
Let w be 4/14 - 15/(-70)*50. Let i(q) = q**3 - 12*q**2 + 15*q - 45. Let h be i(w). Let t(d) = -d**2 - d**2 - 2*d**3 + 2*d - 1 - 4*d. Give t(h).
1
Suppose -5 = -4*r - 2*h + 21, -5*r = 16*h - 100. Let g(j) be the first derivative of 7/3*j**3 - 32 - 1/4*j**r + 1/2*j**2 + 0*j. What is g(7)?
7
Let w(l) = -l**3 + 10*l**2 + 2*l - 15. Suppose -3*p = 24*p + 1809. Let s = -57 - p. Determine w(s).
5
Suppose -5*m = -3*u - 95, 0 = 4*m - 5*u + 31 - 120. Let r(p) be the second derivative of -p**5/20 + 4*p**4/3 + p**3/6 - 13*p**2/2 + p. Determine r(m).
3
Let n(f) = -75*f**3 - 12 + 74*f**3 + 8*f + 4 - 6 + 5*f**2. What is n(7)?
-56
Let q be -4 - (3 - 3) - 42. Let b = -44 - q. Suppose -m = -i + 2, -i - b*i + 9 = -4*m. Let r(a) = -11*a**2 + 1. What is r(i)?
-10
Suppose 0 = 3*r - 15 - 3. Let o = 2114 - 1479. Let b(v) = -314*v - 317*v - 4 + o*v - v**2. Calculate b(r).
-16
Let q = -633 + 619. Let w(z) be the first derivative of z**4/4 + 5*z**3 + 7*z**2 - 3*z - 15. What is w(q)?
-3
Let w(z) = -378*z - 381. Let q be w(-1). Let c(b) = -9*b**2 - 4. Let m(o) = 1 + 3*o**2 - 4*o**2 + 0. Let l(u) = q*m(u) - c(u). Give l(-1).
13
Let t(l) = -49*l + 5. Let r(f) = 9*f - 1. Let q(c) = 11*c - 134. Let n be q(12). Let w(s) = n*t(s) - 11*r(s). Determine w(-7).
8
Let t(a) = 2*a**2 + 36*a + 144. Let s(h) = 5*h**2 + 73*h + 287. Let g(q) = 3*s(q) - 7*t(q). What is g(37)?
1
Suppose 281 = 4*z + 301. Let i(l) = 9*l + 22. Calculate i(z).
-23
Let w = -41 + 120. Let k = w - 78. Let m(q) = 3*q**2 - 2*q + 1. Determine m(k).
2
Let b(v) = -3*v - 1. Let i(q) = -5*q - 2. Let d(j) = -7*b(j) + 4*i(j). Let l = -144 + 181. Suppose -2*k + 4*w + l = 23, 0 = 3*k + 2*w - 5. Calculate d(k).
2
Let h(a) = a**2 - 2*a - 10. Let s be h(-7). Let j = s - 50. Let l(w) = 7*w - j*w + 6*w - 1 - w. What is l(-1)?
-10
Suppose -4 + 0 = -2*p. Let t(c) = 7*c - 1281 + 2561 - 1277 - 3*c - 5*c - 7*c. Calculate t(p).
-13
Let h(o) = -11*o - 780 - 765 + 1577 - 7*o. Give h(3).
-22
Suppose -2*v = 2*h + 16, -34*v + 12 = -37*v. Let z(q) be the second derivative of q**4/12 + q**3/6 - 5*q**2/2 - 3*q. Determine z(h).
7
Let c be (-10)/55 - 48/(-22). Suppose -4*y = c*s, 3*y - 11 = -8. Let t(h) = -h + 2. What is t(s)?
4
Suppose -14*b - 2344 + 1156 + 1132 = 0. Let f(o) = 6*o + 3. Give f(b).
-21
Let t(r) be the first derivative of -r**5/20 - r**4/12 + r**3/3 + 3*r**2/2 - 66*r + 38. Let o(b) be the first derivative of t(b). Calculate o(-2).
3
Let z(i) = 57*i**2 - 5*i + 57*i**2 + 98 + 25*i + 2 - 113*i**2. Calculate z(-10).
0
Let r(t) = -t**2 - 1. Let h be (-760)/100 - (-1)/(5/(-2)). Let i(q) = -7*q - 60. Let n be i(h). Determine r(n).
-17
Let t be -3 + 0 + (2 - 1). Suppose -5*v + 94*l - 8 = 96*l, v - 3*l - 12 = 0. Let k be 1/t*-6 - (-5 + v). Let r(z) = -z**3 + 8*z**2 - 2*z - 6. Calculate r(k).
-22
Let g(f) = f**3 - 13*f**2 - 27*f + 12. Suppose 49 = 3*r - w, 2*r - 1168*w = -1163*w + 50. Give g(r).
57
Let a(x) = 16*x**3 - 2*x**2 - 4*x + 5. Suppose -11*g + 0*g = -32*g + 21. Determine a(g).
15
Suppose -2*b = -b - 5. Suppose 4*l - 2*c - 3 - b = 0, 4*l - 4*c - 8 = 0. Let w(f) be the third derivative of f**4/12 + f**3/6 + 22174*f**2. Calculate w(l).
5
Let r(y) = -y**2 + 5*y - 9. Let h be (252/48 - 1/4)/(-2 - -3). What is r(h)?
-9
Let s(v) = 20*v - 15. Let i be s(1). Let f(x) = -2 - 27*x + i*x + 12*x + 4*x. Let h(d) = d**3 + 5*d**2 - 8*d - 9. Let q be h(-6). Calculate f(q).
-20
Let i(w) = -24*w + 6. Let g be ((-87)/(-435))/(2/10*1). What is i(g)?
-18
Suppose 25 - 1 = -17*g - 78. Let j(p) be the first derivative of p**2/2 - 2*p + 1. What is j(g)?
-8
Suppose 267*u = 830 - 1123 - 1309. Let j(w) = w**2 + 8*w + 17. Give j(u).
5
Suppose 0 = -2*v - 5*k + 2228 - 2224, -v = -3*k + 20. Let y(l) = -5*l**2 - 37*l + 13. Calculate y(v).
-11
Let z(j) = 15*j**3 - 2*j**2 + 2. Suppose -5*d + 1135 - 1160 = 0. Let l(t) = -7*t**3 + t**2 - 1. Let o(c) = d*l(c) - 2*z(c). Give o(-1).
-5
Suppose -3195*o - 375 = -3210*o. Let w(q) = q - 28. Give w(o).
-3
Let f(h) be the second derivative of h**5/20 + 5*h**4/6 + 4*h**3/3 - 3*h**2 + 460*h + 5. Calculate f(-8).
58
Let s(d) = 2*d. Let y be s(3). Let j(c) = -48*c - 4. Let x(p) = 23*p + 2. Let r(t) = y*j(t) + 13*x(t). Give r(3).
35
Let o(d) = -d**2 + 9. Let i be o(-12). Let g be (-1)/2 + (i/(-10))/(-3). Let y(q) = -q**3 - 6*q**2 - 6*q - 3. Let a be y(g). Let f(x) = 2*x - 1. Calculate f(a).
3
Let g(a) = a**3 - 10*a**2 - a + 7. Suppose 26*j - 5280 = 4*j. Let i = -230 + j. Calculate g(i).
-3
Let r(v) be the second derivative of -1/3*v**3 - 10 + 3*v**2 - 2*v. Calculate r(-5).
16
Let x(u) = u**3 - 5*u**2 - 6*u + 5. Let t(z) = -10*z**3 - 4*z - 28. Let d(f) = -5*f**3 - 2*f - 13. Let k(p) = 13*d(p) - 6*t(p). Let s be k(-1). Determine x(s).
5
Let l(x) = -8*x**2 + x - x**3 - 2 + 9*x**2 + 29. Let z be l(0). Let f = z + -20. Let b(h) = h - 2. Calculate b(f).
5
Let l(p) = -7*p**2 - 15*p + 8*p**2 - 6*p + 60*p + 34. Give l(-38).
-4
Let f(u) be the first derivative of u**4/4 + 4*u**3/3 - u**2/2 - 2*u + 1. Let k be 10437/2130 + 1/10. Suppose -27*v = -28*v - k, 0 = -5*d - 5*v - 45. Give f(d).
2
Let p be (-648)/(-90) + (-36)/30. Let n(d) = d**2 - 8*d + 9. What is n(p)?
-3
Let j(c) = -2*c + 2 - c**2 + 213*c**3 + 3*c**2 - 94*c**3 - 121*c**3. What is j(2)?
-10
Let a(r) be the second derivative of r**4/4 - r**3 + 11*r**2/2 - 275*r +
|
{
"pile_set_name": "DM Mathematics"
}
|
t s = -1.3 - -1. Let w = -14.96 + 15. Put w, u, s in ascending order.
u, s, w
Let k = 47 + -49. Let r = -8.52 + 8.5. Put 4, r, k in decreasing order.
4, r, k
Let b = 0.6084 - 0.1084. Sort 135, b, 2/7 in ascending order.
2/7, b, 135
Let z(g) = g**2 - 5*g - 8. Let c be z(6). Suppose 4 = 3*d - s - 5, -12 = 4*s. Let b be (d - (6 + -4)) + 1. Sort c, -1, b in increasing order.
c, -1, b
Let u(y) = -3*y**2 + 76*y + 52. Let n be u(26). Let l(m) = m**2 - 4*m - 2. Let h be l(5). Sort 8, n, h in decreasing order.
8, h, n
Let x be (-1)/(-3)*-3*-1. Let l = x - -5. Suppose 16 = -4*m + 2*j, -5*j - 1 = 5*m + 19. Put l, m, -5 in ascending order.
-5, m, l
Let c = 2883 - 1809. Sort 5, 0, c in ascending order.
0, 5, c
Let b = 159.8 - 135.8. Sort b, 4/7, 0, 4 in descending order.
b, 4, 4/7, 0
Suppose 2*w = 4 + 4. Let r be (1/(-4))/(6/(-72)). Suppose -q + r = -2*q. Put 3, w, q in descending order.
w, 3, q
Let i = -72 - -139/2. Put 0.31, 5/2, -4/3, i in ascending order.
i, -4/3, 0.31, 5/2
Let f(u) be the second derivative of u**3/2 + 11*u**2 + 5*u. Let t be f(-7). Sort 2, -3, 5, t in ascending order.
-3, t, 2, 5
Let t = 491 + -490.8. Sort -2, -0.1, t in decreasing order.
t, -0.1, -2
Suppose -3*t = 2*h - 6, -5*h + 3*t + t - 8 = 0. Sort h, -4, -14, -3 in decreasing order.
h, -3, -4, -14
Suppose -2*l - 4 = -5*w + 14, 0 = -l + 1. Let i(v) = -3*v**2 - 21*v + 2. Let j be i(-7). Let o = -3 - -3. Put w, o, j in ascending order.
o, j, w
Let l = 10334 - 10332. Let c = 0.4 + 2.6. Sort c, 5, 2/5, l in decreasing order.
5, c, l, 2/5
Suppose 0 = -4*g - 3*r - 0 - 3, 2*r + 2 = -2*g. Sort g, -65, 4, 8 in ascending order.
-65, g, 4, 8
Let l = -705 + 706. Sort -1, l, -24 in descending order.
l, -1, -24
Let n = -19.3 - -19.31. Sort 0.5, n, 0.3, -0.04.
-0.04, n, 0.3, 0.5
Let f = -272 + 422. Sort 3, f, 1 in ascending order.
1, 3, f
Suppose 2*u - 3 = -4*r + 19, -5*u - 5*r = -35. Suppose 0 = a + 4*h - 13 + u, h - 2 = 0. Let y = 1.6 + -1.7. Sort a, y, 7 in decreasing order.
7, a, y
Suppose -5*y - 4*i - 17 = 0, 5*y = i - 6*i - 20. Let r be -2 + 1 + y*4. Suppose -2*z + 3*z = -4. Sort z, -0.4, r in ascending order.
r, z, -0.4
Let s be 8/((-224)/(-20))*(-28)/(-4). Sort -9, s, -13 in descending order.
s, -9, -13
Let w = -3 - -3. Let v = w + 0.2. Let r = 459.6 - 460. Put v, r, -2 in descending order.
v, r, -2
Let b = -0.16 - -4.16. Put 3/2, b, -3/2, 1 in decreasing order.
b, 3/2, 1, -3/2
Let v(h) = -32*h**2 - h + 1. Let d be v(1). Let m be (-4)/d*1*(-8)/18. Put m, -0.2, 1/11 in ascending order.
-0.2, m, 1/11
Let j = -0.09 - -0.05. Let g = 10.04 + j. Let y = 10.4 - g. Sort 1, y, -3/5 in increasing order.
-3/5, y, 1
Suppose 16 - 3 = 3*r - 2*y, -5*r + 20 = -3*y. Suppose 4*m = -5*c + 23, -3*c - 4*m = -r - 8. Sort 4, c, 1 in decreasing order.
c, 4, 1
Let o = 3.968 + 0.032. Let d = 0.8 + 3.7. Let r = o - d. Sort 0.03, -5, r in increasing order.
-5, r, 0.03
Let o be (-48)/(-15) + -5 + 216/45. Sort o, -2, -3/5, 0.06 in ascending order.
-2, -3/5, 0.06, o
Let w be ((-40)/(-100))/(1/5). Suppose 3*n - 3*v + 17 = -n, w*n + v + 1 = 0. Sort n, 1/2, 3.
n, 1/2, 3
Let v be 10/1 + -1 + 0. Let o be 14/35 - 26/(-10)*1. Put -2, o, v in increasing order.
-2, o, v
Let r = -6 - -5.4. Let g = -0.92 + 0.22. Let b = g - r. Put 1/5, 1/6, b in increasing order.
b, 1/6, 1/5
Let c(q) = 3*q**3 - q**2 - q + 1. Let x be c(1). Let i(v) = -5*v + x*v + 2*v - 1. Let g be i(-2). Sort g, 4, -5 in increasing order.
-5, g, 4
Suppose 62 = 9*h - 37. Sort 2, h, -4, -2 in descending order.
h, 2, -2, -4
Let l = 5 - 9. Let c = -1.44 + 2.25. Let n = -0.61 + c. Sort n, l, -0.4 in descending order.
n, -0.4, l
Let i(f) = f - 2. Let s be i(5). Suppose -10 = -5*p, 0*p - 1 = 5*l - s*p. Put -1, l, 5, -3 in increasing order.
-3, -1, l, 5
Suppose 0 = 4*o - 8, -4*w - 276 - 1518 = 3*o. Let b be 10/w + 6/27. Sort b, 0, -0.6 in ascending order.
-0.6, 0, b
Let y = -155/9 - -17. Let m = 176 - 274. Let l be ((-7)/(m/8))/((-9)/(-7)). Put l, y, -5 in descending order.
l, y, -5
Let v(t) = -3*t + 1. Let g be v(1). Let x(f) = f**3 + f**2 - 75*f - 271. Let u be x(-6). Sort 1, g, u.
g, u, 1
Let o(w) be the first derivative of w**2/2 + 11*w + 10. Let d be o(-8). Put 0, d, -2 in decreasing order.
d, 0, -2
Suppose 8 = -618*k + 616*k. Sort 3, 1/2, k, 2/29 in decreasing order.
3, 1/2, 2/29, k
Suppose 18 + 2 = 5*c. Suppose -35 = -t - c*t. Let j = -0.05 - 0.25. Sort -3, j, t in increasing order.
-3, j, t
Let i = 132.8 - 132.5. Put -13, -6/7, i in ascending order.
-13, -6/7, i
Let z = 3.11 - 0.11. Let d = 1 + z. Put -3/7, -0.5, d in descending order.
d, -3/7, -0.5
Let w be ((-5)/24)/(30/(-12)). Sort 5, 4, w, 0.3 in ascending order.
w, 0.3, 4, 5
Let x = 12.89 - 17.89. Put -10, x, 10 in descending order.
10, x, -10
Let j = -1051 + 7341/7. Sort 3, 5, j.
j, 3, 5
Let u be (-21)/14*20/24. Let m = 1 + -1.5. Put u, 0, m, 0.4 in ascending order.
u, m, 0, 0.4
Let z = -0.3 + 0.6. Let j = z - 19.3. Let b = 18 + j. Put 1, b, -0.3 in descending order.
1, -0.3, b
Let t(f) be the third derivative of f**4/12 + 29*f**3/6 - 4*f**2. Let q be t(-15). Suppose 2*l = -7 + 1. Put 0, q, l in decreasing order.
0, q, l
Let b = -11 + -37. Suppose -30*a = 113 - 23. Put a, b, 0 in decreasing order.
0, a, b
Let w = 1812/7 - 259. Sort -15, w, 3, 0.5 in decreasing order.
3, 0.5, w, -15
Let y be (24/(-6))/(5/((-45)/12)). Suppose -16 = -5*m + m. Put m, y, 1 in ascending order.
1, y, m
Let v = 24.9 + -24.8. Sort 28, v, -2/11.
-2/11, v, 28
Let m = 35.66 - -0.44. Let u = m + -35. Let h = u - 0.8. Put h, 0.02, -2/5 in ascending order.
-2/5, 0.02, h
Let a = 85 - 49. Let j = a - 35.6. Sort 3/2, -1, 0.2, j.
-1, 0.2, j, 3/2
Let z be (-8 + -1)*26/(-39). Suppose 0 = -x - x + z. Sort -5, x, 1, 4 in ascending order.
-5, 1, x, 4
Suppose -2*b - 4*j + 8 = 0, 0 = -b + 2*j + 2*j - 26. Let n be (-1*(1 - -3))/(b + 5). Put n, 5, 0, -3 in decreasing order.
5, n, 0, -3
Let x = 146 - 442/3. Let w = -383/1659 - 13/237. Put w, 3, x, -0.1 in decreasing order.
3, -0.1, w, x
Suppose 8*d = 5*d + 24. Sort 4, d, 1 in decreasing order.
d, 4, 1
Let d(c) = 8*c - 13. Let n be d(2). Suppose 16 = 3*p + 4. Put p, n, -2 in ascending order.
-2, n, p
Let q(a) = -a**3 + 5*a**2 - 3*a + 1. Let v be q(4). Suppose -12 = -v*p + 8. Suppose 2*h + p*n + 10 = 0, 3*n = -h - 4 - 3. Sort 4, h, -3.
-3, h, 4
Let y = -3 + -3. Let t = 0.89 - -0.11. Let a = t + y. Put 3, 4, a in descending order.
4, 3, a
Let a = 46.45 - 0.45. Let y = 46.5 - a. Sort -0.4, 0.1, 1, y in descending order.
1, y, 0.1, -0.4
Let h(d) = 10*d**3 - 25*d**2 + 7*d + 16. Let n(i) = 3*i**3 - 8*i**2 + 2*i + 5. Let u(s) = 2*h(s) - 7*n(s). Let z be u(6). Put -4, z, 5 in descending order.
5, z, -4
Let s = -0.1 + -3.1. Let o = -0.8 + s. Let x = 8 + -4. Sort x, o, 1/11.
o, 1/11, x
Let f be 3/1*4/6. Suppose -37*h - 12 = -35*h. Let z be (-2)/h*(2 - 2). Sort 4, f, z.
z, f, 4
Let m = 1448 - 1446.8. Let v = -1.9 + -0.1. Sort 5, -4, m, v in increasing order.
-4, v, m, 5
Let c = 0.306 + -0.606. Sort c, 20, 2, -1 in ascending order.
-1, c, 2, 20
Let u be 4 - (-5 - 26*2/(-4)). Sort -3, u, 2 in ascending order.
u, -3, 2
Let d(z) = 3*z**2 - 2*z - 2. Let u be d(-2). Suppose 29 = -3*m - 4*v, -u = 3*m - 3*v + 4*v. Let n be 2/15 + 2/(-15). Sort m, n, 5 in decreasing order.
5, n, m
Suppose -4*w = -4*j - 3*w - 19, 3*j + 14 = w. Put -15, j, -3, 2 in decreasing order.
2, -3, j, -15
Let c = 7 - 10. Let r = -24.7 - -25.7. Sort r, 0, c in descending order.
r, 0, c
Let j = -4 + 7. Let p(l) = -l**3 + 46*l - 21*l + 3 - 19*l + l**2. Let z be p(j). Sort -3, z, 2.
-3, 2, z
Let q be 38/91 + (-4)/(-26). Sort q, -4, 4, 0.1 in descending order.
4, q, 0.1, -4
Let f = -21 - -14. Let b be f + 4 - (0 - 5). Sort 4, 1, b in descending order.
4, b, 1
Let k(a) = -a**3 + 10*a**2 - 12*a + 2. Let x be k(9). Suppose -5*j - 20 = 0, -3*d - 64 = -d + 2*j. Let y = x - d. Sort y, 5, -5 in ascending order.
-5, y, 5
Let n = -0.19 + -2.81. Put -9, 0.5, -1/2, n in decreasing order.
0.5, -1/2, n, -9
Let u = -15196562 - -78064738071/5137. Let f = u + -1/467. Sort 4, f, -2/3.
-2/3, f, 4
Let r(v) = v**3 + 8*v**2 - 5*v - 7. Let z be r(-5). Let n be 2/(16/56 - z/7). Sort n, -2, 0.02 in increasing order.
-2, n, 0.02
Let y(m) = -2*m**3 + 12*m**2 + 15*m - 32. Let f be y(7). Let p = -59 + 31. Let c = f - p. Sort -0.4, c, 0.1.
-0.4, 0.1, c
Let b = -129 + 139.4. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 61 = -y*h. Let q = -26 - h. Calculate the remainder when q is divided by 12.
11
Suppose 0*b = -2*b + 3*x + 2, 0 = 2*b + 4*x - 16. Calculate the remainder when 14 is divided by b.
2
Let v = -33 - -38. Calculate the remainder when 13 is divided by v.
3
Let l(z) = -z**3 - 11*z**2 + 9*z - 20. Let j(a) = -a**2 - 1. Let q(o) = 4*j(o) - l(o). Calculate the remainder when 47 is divided by q(-8).
23
Let u(t) = 7*t - 13. Let o(s) = -3*s + 6. Let n(m) = -5*o(m) - 2*u(m). Calculate the remainder when 3 is divided by n(6).
1
Let h(b) = -b**2 - b + 5. Let q be h(8). Let k = -53 - q. What is the remainder when 110 is divided by k?
12
Suppose 145 + 55 = 5*d. Let m = -20 - -33. Let r = d - m. Calculate the remainder when r is divided by 14.
13
Suppose -18*u + 4 + 68 = 0. What is the remainder when 94 is divided by u?
2
Suppose 25 = 44*c - 39*c. Let j = 0 + 0. Let z = c - j. Calculate the remainder when z is divided by 3.
2
Suppose 5*x = l + 119, -3*x + 0*l + 49 = 5*l. Suppose x = 3*y - 19. Calculate the remainder when y is divided by 5.
4
Let r(k) = 2*k**2 - 17*k - 10. Let h be (24/(-4) - -3)*-1. Suppose 5*c = 0, -3*y + 18 = h*c - 18. Calculate the remainder when r(y) is divided by 25.
24
Let x(k) = 2*k**2 + 18*k + 10. What is the remainder when x(-13) is divided by 13?
10
Let i(g) = -16*g - 3. Suppose s = 11 - 8. Suppose 0 = c - 6*c - 25, -s*m - 3*c = 21. What is the remainder when 55 is divided by i(m)?
26
Calculate the remainder when 315 is divided by (73 - 4) + -6 - -1.
59
Let j be 0 + 0 + 4 - 0. What is the remainder when -3 + 1 - (j - 18) is divided by 7?
5
Suppose 225 = 2*h - 123. What is the remainder when h is divided by 77?
20
Suppose -1 = 4*g - 5, 0 = -r - 5*g + 47. What is the remainder when 119 is divided by r?
35
Let x = -86 - -90. Calculate the remainder when (-2)/(-1 - -5)*-14 is divided by x.
3
Let d(u) = u**3 - 16*u**2 + 17*u - 5. Suppose -137 - 274 = -4*s - 3*b, 0 = -s - 5*b + 124. What is the remainder when s is divided by d(15)?
24
Suppose 7*a - 2*a - 230 = 0. Suppose -a = i - 48. Suppose -v - 3*r + 23 = 0, 5*r + 19 = 5*v + 4. What is the remainder when v is divided by i?
0
Suppose 0 = 8*t + 106 + 110. Let h(q) = -q**2 - 28*q + 33. What is the remainder when 238 is divided by h(t)?
58
Let u(w) be the third derivative of -w**4/4 + 5*w**3/6 - 8*w**2. Let h = 5 - 9. Calculate the remainder when 57 is divided by u(h).
28
Let x(p) = -p**3 + 17*p**2 + 16*p + 22. Let d be 616/34 + (-32)/272. Let w be x(d). Let a = -1 - w. What is the remainder when 88 is divided by a?
10
Let p be -4 - 9*(4 + -5). Let s(a) = -5*a + 35. What is the remainder when 55 is divided by s(p)?
5
Suppose 0 = -5*c + 127 - 27. What is the remainder when 82 is divided by c?
2
Let w = 155 + 18. Suppose -5*g - 65 = -2*z, 0 = -6*z + 3*z - 3*g + 108. Calculate the remainder when w is divided by z.
33
Calculate the remainder when 28 is divided by 22*((-4)/(-30) + 77/210).
6
Suppose -a = -o - 8, 2 = 2*a - 4*o - 4. Suppose -5*i + 305 = 5*m, 22 + 173 = 3*m - 3*i. What is the remainder when m is divided by a?
11
Let k be 0*6/(-60)*-2. Let w(a) = a**3 - 2*a + 31. What is the remainder when 153 is divided by w(k)?
29
Let b(z) = -4*z - 13. Let y be b(-3). What is the remainder when ((-14)/8)/(0 - y/(-12)) is divided by 2 + (6*2)/2?
5
Calculate the remainder when 22 is divided by 2/6 + 0 + (-105)/(-9).
10
Let n be (-1)/3 + ((-480)/18)/(-8). Suppose u = -3*q + 9, -q = -5*u - n*q + 71. Calculate the remainder when u is divided by 9.
6
Let f(m) = -4*m**2 + 21*m + 5. Let c(s) = -s**2 + 7*s + 2. Let z(h) = 7*c(h) - 2*f(h). Let y be z(-7). What is the remainder when 34 is divided by 710/40 + 1/y?
16
Let k = -137 - -207. Suppose -2*x + k = -0*x. Suppose 2*u + 4*i = 3*u - x, 0 = 5*u - 4*i - 143. Calculate the remainder when u is divided by 7.
6
Let w(j) = -2*j + 54. Calculate the remainder when w(20) is divided by 13.
1
Let n = 6 + -4. Suppose n*l = -2*i + 30, -2*i - i = -l - 49. Suppose 0 = -13*p + 432 - 29. Calculate the remainder when p is divided by i.
15
Let o = 19 + -14. Suppose g - 2*v = 5*g - 14, -o*v = g + 10. What is the remainder when 19 is divided by g?
4
Let k(y) be the third derivative of y**6/120 - y**5/30 - y**4/6 - y**3/2 - 148*y**2. Suppose -j + 5*j = 16. What is the remainder when 38 is divided by k(j)?
12
Let z be 76/(-1)*(-4)/(32/30). Suppose -2*a = 5*b - 137, b - z = -4*a + 2*b. Calculate the remainder when a is divided by 9.
8
Let c = 4 - 1. Suppose 5*j = 5*z - 4*z + 114, -j - 3*z + 26 = 0. What is the remainder when j is divided by c?
2
Let n(f) = 18*f + 640. What is the remainder when n(-13) is divided by 41?
37
Let h(f) = f**2 - 3*f - 8. Let t = 3 - -4. What is the remainder when 37 is divided by h(t)?
17
Let v(r) = -2*r**3 - 7*r**2 - 7*r + 14. Let m(z) = z**3 + z**2 - 1. Let j(h) = 3*m(h) + v(h). What is the remainder when j(5) is divided by 1?
0
Suppose 5*t - m + 7 - 52 = 0, -4*m = -2*t. Let c(h) = h**3 + 6*h**2 + 4*h - 3. Let v be c(-5). Let j = 41 - v. Calculate the remainder when j is divided by t.
9
Let h(r) = -r**3 - 13*r**2 + 14*r + 2. Suppose 0 = 4*b + 27 + 29. Let o be h(b). Suppose -60 = -0*i - o*i. Calculate the remainder when i is divided by 8.
6
Let p(u) = 21*u**2 + 2. Let x(i) = i**2 - 6*i + 4. Let b be x(1). Calculate the remainder when p(b) is divided by 6.
5
Let x = -16 + 19. Suppose -4*m + 54 = -x*m. Calculate the remainder when m is divided by 19.
16
Suppose 2*o = 8*o + 378. Let p = o + 136. What is the remainder when p is divided by 37?
36
Let i(j) = j**2 + 8*j - 7. Let y be i(-9). Suppose -4*r - 225 = -5*k, 5*r = -y*k - 21 + 144. Let z = k - 30. Calculate the remainder when 36 is divided by z.
17
Suppose -m + 3*c = -105, -368 = -4*m + 3*c - 4*c. Calculate the remainder when m is divided by 11.
5
Suppose 3*f = -12, 2*c + f = -2*c + 376. Let y = c - 51. Suppose -y = -2*b + 14. What is the remainder when b is divided by 16?
13
Let f(o) = -53*o**3 + o**2 - 2*o - 3. Let w be f(-1). Let s = -47 + w. What is the remainder when 20 is divided by s?
2
Let d be (2*75/6)/(-1). Let n = d - -52. What is the remainder when 75 is divided by n?
21
Calculate the remainder when 15*(-8)/(-540) - 11174/(-18) is divided by 104.
101
Suppose -18 = -2*g + 5*h, -13*h + 36 = 4*g - 10*h. What is the remainder when 476 is divided by g?
8
Let o = -219 - -230. Calculate the remainder when 85 is divided by o.
8
Let x = -249 - -321. Calculate the remainder when x is divided by 23.
3
Let q = -57 + 51. Let v(i) = i**3 + 4*i**2 - 16*i - 9. What is the remainder when 27 is divided by v(q)?
12
Suppose -2*j = -4*l - 20 - 148, -351 = -4*j + 3*l. Calculate the remainder when j is divided by 19.
14
Suppose -5*b = -22 - 363. What is the remainder when 536 is divided by b?
74
Let a be (-6)/4*4/12*30. Suppose -c - z + 0 - 7 = 0, -3*c + 5*z + 11 = 0. Let l = c - a. What is the remainder when 34 is divided by l?
10
Suppose 33 + 35 = 4*m. Let w be 3 - (-3)/(-4 - -3). Suppose 4*r + 16 = w, -u - 152 = -6*u - 2*r. What is the remainder when u is divided by m?
15
Let o = 909 + -887. Calculate the remainder when 240 is divided by o.
20
Let t = -4 + 3. Calculate the remainder when t + -2 - 95/((-3)/3) is divided by 19.
16
Suppose 0 = -5*r - 6 + 146. Suppose 0 = 2*n - 2*t - r, 5*t + 4 = n - 14. Let c(u) = u**3 + 8*u**2 - 2*u + 7. What is the remainder when c(-8) is divided by n?
10
Suppose -i - 80 = -3*g, i - 136 = -3*g - 2*g. Let v(y) = -5*y + 104. What is the remainder when v(-6) is divided by g?
26
Suppose -5*f - 5*y + 652 = 77, 0 = -3*f - 2*y + 340. Let i = 47 - 9. What is the remainder when f is divided by i?
34
Suppose 3*f - 4 = -22. Let v(w) = w**2 - 2*w + 17. Calculate the remainder when v(f) is divided by 36.
29
Let o(b) = 3*b - 4. Let d be o(-4). What is the remainder when 135/(-6)*d/24 is divided by 4?
3
Suppose 5*c + 3*i + 0*i - 151 = 0, -3*c = 4*i - 84. What is the remainder when 191 is divided by c?
31
Let k(r) = 11*r**2 + 3*r + 7. Let v be k(-2). Let q = 4 + v. Calculate the remainder when 241 is divided by q.
45
Suppose 2*c - 29*c + 486 = 0. What is the remainder when 67 is divided by c?
13
Suppose -5*o = -u + 44, -26*o = -2*u - 21*o + 73. Calculate the remainder when 170 is divided by u.
25
Let a = 126 + -73. Let k(t) = 7*t. Let m be (3 + -1)*(-1 - -2). Calculate the remainder whe
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{
"pile_set_name": "DM Mathematics"
}
|
*w + 5*w. What is the fourth smallest value in w, 0.05, -2, -0.3?
0.05
Let g = 104/3 - 34. Which is the biggest value? (a) g (b) -1 (c) 2
c
Let l = -1328 + 2118. What is the third smallest value in l, 3, -3?
l
Let f be (-2 - (-26)/14)*7/6. Let s = -15.5 - -16. Which is the biggest value? (a) -2 (b) s (c) 3 (d) f
c
Suppose 276 = 2*l + 3*t, -323 - 358 = -5*l - 3*t. Let u be (-27)/(-2*2/(-4)). Let d be 6/u - 51/l. Which is the second smallest value? (a) 1/4 (b) d (c) -1
b
Let v = -173 + 169. Which is the second smallest value? (a) -5 (b) v (c) 11
b
Let z = -131 - -128. What is the biggest value in 2/3, -16, z, -2/9?
2/3
Let d = 186 - 190. What is the third smallest value in -6/71, 1, d?
1
Let c = -39.7 - -40. What is the second biggest value in -0.4, 1/2, 4/7, c?
1/2
Suppose 8*j - 60 + 28 = 0. Which is the fourth smallest value? (a) -0.2 (b) -0.5 (c) j (d) 3/19
c
Let n(r) = -r**3 + 5*r**2 + 12*r + 13. Let f be n(7). Let q be ((-24)/(-27))/(-4) + f/(-3). Which is the fourth smallest value? (a) q (b) 0.5 (c) 2 (d) -4
c
Let d = -2.05 + 0.05. Which is the second biggest value? (a) 12 (b) d (c) -6
b
Let b = -26.92 - -31. Let f = 0.08 - b. Let d be (-1 - (20/(-15))/1)*0. What is the second biggest value in 1, f, d?
d
Let p be (6/28)/((-150)/175). What is the second biggest value in p, 27/5, -2?
p
Let g = -89 + 263/3. Let i = 1 - 2. Let x be 6*(-1)/(-10) - 1. Which is the smallest value? (a) g (b) x (c) i
a
Let a = 26 + -37. Let f = 635/4 + -633/4. What is the third smallest value in f, a, -2/3?
f
Let j be 6/4*28/(-42). Let k be (j/(-20))/(18/48). What is the third smallest value in -1, -5, k?
k
Let u = -15/47 + 13/188. Let b = -0.05 - -0.35. What is the fourth smallest value in u, -0.2, 2, b?
2
Suppose -5*p + 12 = 7*w - 5*w, 3*p - 4*w = 28. Which is the fourth smallest value? (a) 0 (b) 0.39 (c) -1/10 (d) p
d
Let l = -226.7 - -227. Which is the third biggest value? (a) 2/9 (b) l (c) -10
c
Let i = -0.0302 - -10.0302. What is the second biggest value in i, 4, 2/15?
4
Let j = -2/111 - 64/555. What is the third biggest value in j, -22, -2?
-22
Let q(i) = -i**2 - 3*i - 2. Let u be q(-3). Let s = u - -1. Suppose -2*x - j + 2 + 6 = 0, -2*x + 2*j - 4 = 0. What is the second biggest value in -0.1, s, x?
-0.1
Let m = -3.846 + 0.046. Let h = m + 4. Let g = 8 + -12. What is the second smallest value in h, -5/3, g?
-5/3
Let r be ((-546)/936)/((1/(-1))/(-3)). What is the third biggest value in -3, 0.2, r?
-3
Suppose 0 = 5*q + 7 - 27. Let z be 2/8 + q/(-4). Which is the third smallest value? (a) z (b) 2/11 (c) -1 (d) 2
b
Let n = 2.4 + -2. Suppose -21 = -0*z + 4*z - 3*h, 5*h - 18 = z. Let c be (-10)/12 + z/18. What is the smallest value in n, -3/7, c?
c
Let y be (-153)/6*8/12. Let n(o) = -o**2 - 19*o - 28. Let h be n(y). Which is the third biggest value? (a) -4 (b) h (c) -5
c
Let r be 0*(-2)/(-4)*1. Let o = 0.402 + -0.602. What is the third smallest value in -5, o, r, -7/2?
o
Let s = 1428 + -1432. Suppose -4*w = -9*w - 10. Which is the fourth biggest value? (a) w (b) 1/2 (c) 2 (d) s
d
Suppose 2*r = -2*r - 16. Let k = 1.655 - 1.705. Which is the third smallest value? (a) r (b) -0.4 (c) k
c
Let h = -0.0932 + 32.0932. What is the fourth smallest value in 2, -3/7, h, -5?
h
Let y = -0.53 + 0.13. Let x = 13 + -10. Which is the third smallest value? (a) y (b) x (c) -0.1 (d) 2/83
d
Let f be 1*((-10)/(-15) + (-2)/3). Which is the third smallest value? (a) f (b) -0.1 (c) -4 (d) -5
b
Let n be (-4)/(-3 - 15/(-9)). Suppose 4*l + 4*q = -20, l + 4*q + q + 5 = 0. What is the third biggest value in 0.1, l, n?
l
Let r = 453/8 - 57. Let d be (16/(-204))/(110/(-90)) + 2/(-11). Which is the third smallest value? (a) r (b) d (c) -5
b
Let l = -58 - -117. Suppose -22*h = -47*h + 50. What is the third smallest value in 1/2, h, l?
l
Let n = 1.94 + 0.06. Let f(r) = -r**3 + 20*r**2 + 18*r + 18. Let z be f(21). Let j be (12/z)/(4/(-6)). What is the third biggest value in n, j, 4?
j
Let t = 0.2 - -0.3. Let s be 2 + (-1 + -11)/4. Let x = s - -1/4. What is the second biggest value in t, -4, x?
x
Let r be 86/60 - (-1 - 49/(-21)). What is the second biggest value in -3, -1/5, r?
-1/5
Let z = 139.74 - -0.26. Let x = z - 139. Which is the second biggest value? (a) -2 (b) -1 (c) -1/2 (d) x
c
Let k = 12 + 0. Let l = -697 - -697. Which is the biggest value? (a) k (b) -0.1 (c) l
a
Let g be ((-5)/(-3))/((-235)/(-94)). Which is the third smallest value? (a) g (b) 0.5 (c) -1
a
Let b be 113/(-270) + (-2)/(-5). Let i = b - -5/27. Let m = 1/2 - i. What is the third smallest value in m, 0.5, 0?
0.5
Suppose 18 = -5*u + 4*n, 30 = -4*u - 4*n + 2*n. Let l be (9/u - -1)*-1. Which is the second biggest value? (a) -2/3 (b) 2/9 (c) l
b
Let j = -1 + 4. Suppose -2 - 2 = -p - j*w, 3*p = -5*w. Let o = 506 - 510. Which is the second biggest value? (a) p (b) o (c) 0.2
b
Let s = 1/15 + -31/240. Let q = 106 + -105.8. Which is the second biggest value? (a) q (b) s (c) -2/13
b
Let p be (-1)/(-5) + 0/(-2). Let u = -257/104 - -21/8. What is the second smallest value in p, u, -5?
u
Let s = -248 + 241. Let y = 17.93 + -18. Let b = y - 0.23. What is the third smallest value in -5, s, b?
b
Let s = -89/3 + 30. Let l = 21 - 32. Let v = 11 + l. Which is the second biggest value? (a) -0.3 (b) s (c) v
c
Let g = -1 + 5. Let y = -236.3 - -232. Let q = y + g. What is the smallest value in 0.2, q, 7?
q
Let w = -11 - -10.45. Let k be (-2)/(123/15 + (-52)/(-65)). Which is the third biggest value? (a) k (b) w (c) 2/9
b
Let b(a) = -a**3 + 12*a**2 - 6*a - 60. Let s be b(11). What is the biggest value in -1, s, -8?
-1
Let k = 0.05 + -3.05. Suppose 7*v - 45 = -2*v. Let d be 9/3 - 15/v. Which is the second biggest value? (a) d (b) k (c) 0.1
a
Let m = -215 - -212. Which is the second smallest value? (a) -32 (b) -1/3 (c) m
c
Let u = 37.3 + -38.3. What is the smallest value in 31, -1/4, u?
u
Let u = 1977.8 - 1978. Which is the second biggest value? (a) u (b) -0.5 (c) -0.3 (d) -4.3
c
Suppose 5*l = 7*u - 8*u - 775, -755 = 5*l - 3*u. What is the third smallest value in 5, l, -4, -0.1?
-0.1
Let f = -29 - 49. Let p = f - -700/9. What is the second biggest value in p, 3, 0.22?
0.22
Let c = -0.011 + 3.311. Let o = c + -3. What is the second smallest value in 0, 4, o?
o
Let p = -381 - -380. Which is the second smallest value? (a) -4/13 (b) -4 (c) p
c
Let i = -1 - -1. Let l = 3913/15 - 261. Let u be (-4)/18 + (0 + 3 - 3). Which is the third smallest value? (a) i (b) l (c) u
a
Let f = 5.4 + 0.6. Suppose 5*o - 15 - 5 = 0. Let x = -0.934 - 0.066. Which is the biggest value? (a) f (b) o (c) x
a
Suppose -253 + 53 = -8*w. Let r = 6 - -4. Let d be r/w - 0/2. Which is the biggest value? (a) d (b) 3 (c) 2/9
b
Let d = 15 + -8. Suppose d*v = 2*v. Let m = -2.73 - -2.93. What is the third biggest value in 3/8, v, m?
v
Let x = -26 + 25.89. Let q = 211 - 211.89. Let n = q + x. Which is the third smallest value? (a) 0 (b) 0.3 (c) n
b
Let v be (-52)/11 - 771/2827. Let d(f) = -f**3 + 2*f**2 + 2*f. Let o be d(3). What is the second biggest value in v, 0.3, 0, o?
0
Suppose 4*c - 20 + 0 = 0. Let x be c - (5 + 0 + -1). What is the second smallest value in -0.3, 3, x?
x
Let l = -32 - -29. Let u be l + 3/((-108)/(-116)). What is the biggest value in -0.4, u, -3/4?
u
Let m(d) = d**2 - 13*d - 13. Let f be m(12). Let s = -20 - f. Which is the third smallest value? (a) 1/2 (b) s (c) 0.3
b
Suppose 5*l + 5*k + 28 = 8, -2*k = 4*l + 6. Let r = -48 + 289/6. Which is the third smallest value? (a) l (b) r (c) -1/5
a
Let j = -0.043 - -0.043. Let o = 25 - 43. Let v be (-4)/18 - (-32)/o. Which is the third biggest value? (a) v (b) j (c) 4
a
Let s = 18.9387 + 0.0613. What is the second smallest value in -0.1, -2, s?
-0.1
Let l = -223.1 + 227.1. Which is the third smallest value? (a) 8 (b) -1 (c) l
a
Let f = 1.8 + -1.8. Let h = -1/11 - -25/33. Let r = 0.3 - -0.3. Which is the second smallest value? (a) r (b) f (c) h
a
Let l = 194.3 - 203. Let g = l + 5.7. Let v = -564 - -11842/21. Which is the second smallest value? (a) v (b) 1/2 (c) g
a
Suppose -5*z + 3*z + 10 = 0. Let h = 38.4 - 39.4. Which is the third biggest value? (a) -0.3 (b) h (c) z
b
Let p be (-80)/14*((-50)/4 + 9)
|
{
"pile_set_name": "DM Mathematics"
}
|
*r**3
Expand (-1 - 7*j + 1)*(-3*j - j + 3*j)*(-2 + 1 - 1).
-14*j**2
Expand (-r - 2*r + 4*r)*(4 - 4 - 2) + 0*r - 4*r + 5*r + 27*r - 3*r - 5*r + (3 - 4 + 2)*(-4*r + 3*r + 3*r) - 1 + 2*r + 1.
22*r
Expand (0*p**2 + 5*p**2 - 4*p**2 + (-4 - p + 4)*(-p + p + p) - p**2 - 1 + 1 - p**2 - 4*p**2 + 2*p**2)*(-3*p**3 - p**3 + 2*p**3).
8*p**5
Expand (2*c - c + 0*c)*((-1 - 1 + 4)*(-1 - 2 + 2) + 0 - 3 + 0).
-5*c
Expand (-m**5 - 6 - m**5 - 31*m**2 + 30*m**2)*(1 - 5 + 3).
2*m**5 + m**2 + 6
Expand -3*h**3 + 3*h**3 - 2*h**5 + (h**5 + 0*h**4 + 0*h**4)*(-6 + 1 + 4) - 1 + 1 - 2*h**5 + 2 + h**5 - 2 - 2*h**2 - h**5 + 2*h**2.
-5*h**5
Expand (4*x + 3*x - 5*x)*(2*x - 3*x + 4*x)*(3 + 4 + 0).
42*x**2
Expand (2*o**2 + o**2 - o**2)*((-4*o + o + o)*(2*o - 6*o + 2*o) + 3*o**2 + 8*o**2 + o**2).
32*o**4
Expand (2*f - f - 2*f)*(0*f + 3*f - 2*f) + (-248*f + 248*f + 74*f**2)*(3 + 0 - 2).
73*f**2
Expand -4*t + 2*t + 0*t + (-4*t + 5*t + 2*t)*(4 + 1 - 3).
4*t
Expand (-26 - 10 - 37)*(-3*r**3 + 3*r**3 + r**3).
-73*r**3
Expand 0 - 1 - 1 + u**2 - 2*u**3 + 4*u**3 - 2*u**3 + 0*u**3 - u**3 + u - u + (-u**3 + 2*u**3 - 2*u**3)*(-1 + 2 + 0) - 2*u**3 - u**3 + 2*u**3 - 1 + 1 + 2*u**3.
-u**3 + u**2 - 2
Expand 4*l**4 + 0*l**4 - 2*l**4 + (0 + 0 + 2*l**4)*(1 - 34 - 19).
-102*l**4
Expand (1 + 6*f - 14*f + 6*f)*(6*f**4 - 3*f**4 - f**4).
-4*f**5 + 2*f**4
Expand (3 + 3 - 3)*(-2 + 0 - 1)*(-2*h + 2*h - 2*h**2) + 2*h**2 + h - h + (h + 2*h - h)*(-2*h + h + 3*h).
24*h**2
Expand -4*r + 0*r + 2*r + (-2 + 0 + 0)*(2*r - 5 + 5) + (-2*r - 4 + 4)*(-4 + 1 - 2).
4*r
Expand (-2 - 3 + 3)*(3*c**2 + 2*c**2 - 3*c**2) + 2*c - 2*c + 2*c**2.
-2*c**2
Expand 3*j + 2*j - 2*j + (9*j + 5 - 5)*(-1 - 4 + 3).
-15*j
Expand 4*w**2 - 4*w**2 - 2*w**5 + w + w**5 + 3 - 3 + (3*w - 3*w + 2*w**2)*(-4*w**3 + 3*w**3 + 2*w**3).
w**5 + w
Expand (0 + 0 - 1)*(22*i**3 - 846*i**2 + 846*i**2).
-22*i**3
Expand (0*k + 3*k - 5*k)*(2 - 9 + 17).
-20*k
Expand (2*f - 2 + 2)*(4*f**4 + 10*f**4 - f**3 - 16*f**4).
-4*f**5 - 2*f**4
Expand 0*a**2 - 5*a**2 + 4*a**2 + (a - 2 + 2)*(-2*a + 3*a - 2*a) - a - a**2 + 12*a - 10*a.
-3*a**2 + a
Expand (-3*v + v + 0*v - 1)*(-4 + 4*v**3 + 4)*(5 - 3 - 3).
8*v**4 + 4*v**3
Expand (-2 + 2 - 2*w)*(7*w**3 + 2*w**2 - 3*w**2 - w**3).
-12*w**4 + 2*w**3
Expand (0*f**2 - 2*f**2 + 3*f**2)*(-1 - 1 + 1) + f**2 - 3*f + 3*f + (0*f + 3*f - 4*f)*(2*f + 3*f - 3*f).
-2*f**2
Expand -2*i**5 + 2*i**5 + 5*i**5 + (i**4 + 2 - 2 + (-5*i + 2*i + i)*(-4*i**3 + 3*i**3 + 3*i**3))*(0*i - 4*i + 3*i).
8*i**5
Expand (1 + 2 - 4)*(-6*p - 6*p - 2*p).
14*p
Expand (-w - 1 + 1)*(3 - 2 - 3) + 350 - 7*w - 350 + 1 - 2*w - 1.
-7*w
Expand (-2*d**2 + 2*d**2 - d**2)*(-11*d - 3*d - 2 + 16*d).
-2*d**3 + 2*d**2
Expand (a**2 + a**2 + a**2)*(-1 + 1 - 6*a) - 1 + 1 + 2*a**3.
-16*a**3
Expand (4*f**2 + f**5 - 4*f**2)*(-1 - 5 + 4) + (2*f**2 - f + f)*(-3*f**3 + f**3 + 4*f**3) - f**3 + 6*f**5 + f**3.
8*f**5
Expand (-2*p - p**2 + p - p**2)*((-1 + 1 + 1)*(-p - 4*p + 3*p) - p + 3 - 3 - 2*p + 5*p - 4*p).
8*p**3 + 4*p**2
Expand (38*n + 432*n**3 - 214*n**3 - 217*n**3)*(-2*n - 2 + 2).
-2*n**4 - 76*n**2
Expand (-3*a + 5*a + a)*(-8*a + 15*a + 9*a)*(0*a**2 + a**2 + 0*a**2).
48*a**4
Expand (6*d**2 - 12*d + 12*d)*((-3 + 0 + 1)*(2 - 2 - 1) - 3 + 2 + 4 + (-1 - 3 + 3)*(2 - 3 + 3)).
18*d**2
Expand (13*w**2 + 0*w**2 - 3*w**2)*(2 + 0 - 4).
-20*w**2
Expand (-1 - 2 + 5)*(4*u**4 + 0*u**4 - 2*u**4) + u**4 + 7*u**4 - 2*u**4.
10*u**4
Expand (-2 - 4 + 3)*(0*p + 5*p - p - 1).
-12*p + 3
Expand (-12 - 9 + 19)*(0 + 2 - 3)*(0*a**4 - a**4 + 0*a**4).
-2*a**4
Expand (-14*w + 140 - 140)*(-4 + 4 + 2).
-28*w
Expand (-i**3 + 0*i**3 - 9*i**3)*(2 - 2 - 2*i + (4 + 0 - 5)*(-i - i + 3*i) + 6*i - 3*i - i).
10*i**4
Expand (4*i + 0 + 0)*(2 + 5 - 1).
24*i
Expand (6*o**4 + 0*o**4 - 3*o**4)*(0*o - o - 5*o).
-18*o**5
Expand (2*k**2 + 3*k - 3*k)*(-k**2 - 3 + 3) + 38*k - 38*k + 23*k**4 - 3*k**4 - k + k.
18*k**4
Expand (-2 + 2 - a**2)*(5*a**3 - 4*a**3 - 2*a**3 + (3 - 4 - 1)*(a**3 - a**3 - a**3) + 2*a**3 + 4 - 4 + (a**3 + a - a)*(4 - 5 + 3)).
-5*a**5
Expand -7*t - 24 + 24 + (2*t + 4*t - 4*t)*(0 + 2 + 3).
3*t
Expand a**3 - 3*a**3 + 3*a**3 + (2 - 4 + 0)*(4*a**3 - 4*a**3 + a**3) - 2*a**3 - a**3 + 4*a**3 + 17*a**3 - 8*a**3 + 9*a**3.
18*a**3
Expand (1 - 2 + 0)*(-b**2 - 2*b**2 + 4*b**2)*(0*b**2 + b**2 + 2*b**2) - b**4 + 0*b**4 - b**4.
-5*b**4
Expand (-1 - 4 + 6)*(-3 + 3 + 2*k**4) - 19*k**4 + 8*k**4 - 5*k**4.
-14*k**4
Expand (i + 8*i - 2*i)*(0*i + i - 3*i)*(-4*i**3 + 4*i**3 - 2*i**3).
28*i**5
Expand (-6 + 1 + 2)*(312 - n - 312 + 6*n**3).
-18*n**3 + 3*n
Expand (0*t + 0*t - 3*t + (-t + 0*t + 3*t)*(3 - 5 + 3))*(t - 3*t + t).
t**2
Expand (-2*l - 3 + 3)*(-l**2 + 0*l**2 + 0*l**2) + (3*l + 2*l**3 - 3*l)*(3 - 78 - 47).
-242*l**3
Expand -4*s**3 + 3*s**3 + 0*s**3 + (-14 - 9*s**2 + 14)*(0*s + 0*s + 2*s) - 2*s**3 - 2*s**3 + 3*s**3.
-20*s**3
Expand 3 - 3 - 3*f**2 + (-14*f - 4*f - 7*f)*(-2*f + 0*f + 0*f).
47*f**2
Expand -11*k**3 + 20*k**2 - 20*k**2 - 3*k**3 - k**3 + k**3 + (1 + 0 + 1)*(4*k**3 - 4*k**3 + 2*k**3).
-10*k**3
Expand (121 - 3*k - 5*k - 123)*(-4 + 2*k + 4).
-16*k**2 - 4*k
Expand (0 - 2 + 4)*(3*q + 4*q + q + (-q - q + q)*(3 + 2 - 6)).
18*q
Expand (-2*l + l - l)*(l - l**2 - l) - l**3 + 2*l**3 + 3*l**3 + (4*l - 4*l - 2*l)*(-10*l**2 - 2*l**2 + 4*l**2).
22*l**3
Expand (2*a**3 - a**3 + a**3)*(5 + a - 9 + 0*a).
2*a**4 - 8*a**3
Expand (8 - 2 - 1)*(-4*r + 0*r + 2*r)*(r - r - 2*r).
20*r**2
Expand -9*r**2 + r**2 - 2*r**2 + (-r**2 - 2*r + 2*r)*(-1 + 2 - 3) - 2*r**2 + 0*r**2 + r**2.
-9*r**2
Expand (-3*c + 2*c - c)*(-15 - 4 + 0).
38*c
Expand (4 - 3*l**2 - 4)*(l - 6*l + 0*l**2 + l**2).
-3*l**4 + 15*l**3
Expand (-3 + 0 - 4*f**2 + 3*f**2)*(-13*f - 5*f**2 + 13*f).
5*f**4 + 15*f**2
Expand (-4*c**2 + 2*c**2 + 0*c**2)*((0 + 2 - 1)*(-4*c + 6*c + 0*c) + 5*c + 0*c - 3*c - 2*c + 2*c + c).
-10*c**3
Expand (4 + 0 + 5)*(1 - 1 - 2)*(4*x**3 + 0*x - x - 7*x**5 + 5*x**5).
36*x**5 - 72*x**3 + 18*x
Expand (6 - 6 + m**2)*(3*m - 3*m + 2*m)*(-2 + 3 - 5) + (-m + m - m**2)*(4*m - m - m).
-10*m**3
Expand u + 5*u - 5*u + (4*u - 2*u - 4*u)*(0 - 5 + 3) + 0*u - 2*u + 3*u - 2*u + 0 - 3 + 2.
4*u - 1
Expand (-3*c + 13 - 2*c + 3*c)*(2*c**2 - c**2 + 0*c**2).
-2*c**3 + 13*c**2
Expand (-i - 3*i + i)*(4 + 0 - 2)*(4 + 0 + 0).
-24*i
Expand i**4 - 2*i**5 - i**4 + (2*i**3 + i**3 - 4*i**3)*(0*i**2 - i**2 + 2*i**2) + (2*i + i - i)*(i**4 + 2*i**4 - i**4) - i**5 - i**5 + 0*i**5.
-i**5
Expand (-u - 2 + 1 - 3)*(2*u**4 + u**4 - u**4).
-2*u**5 - 8*u**4
Expand (5*a - a**2 - 5*a)*(20*a**3 - 641*a + 641*a).
-20*a**5
Expand -3*f**4 + 2*f**4 - f**4 + (-3*f - 2*f + 3*f)*(2*f**3 - f**3 - 3*f**3) + (-2*f**2 + 3*f**2 + 2*f**2)*(-f - 4*f - 2*f)*(-4 - 2*f + 4).
44*f**4
Expand (m**3 + m**3 + m**3)*(-2*m + 2*m - 3*m**2).
-9*m**5
Expand (2*b**3 - 4*b**3 - b**3)*(-2*b**2 + 4*b**2 - 3*b**2) + (-2*b**3 + 5*b**3 - 2*b**3)*(2*b - 2*b + 3*b**2).
6*b**5
Expand -n**4 + 2*n**4 + 3*n**4 + 4*n**4 - n**4 - 2*n**4 + (-3 - 1 + 6)*(0*n + 0*n - n**4) + 0*n**4 + 4*n**4 - 2*n**4.
5*n**4
Expand (14*u - 17*u + 6*u)*(2*u**2 + 3 - 3).
6*u**3
Expand -4*s**2 + 3*s**2 + 2*s**2 - s**3 + (-1 + 3 - 5)*((3*s + 2*s - 11*s)*(5*s**2 - 4*s**2 - 2*s**2) + 2*s**3 - s**3 + 0*s**3).
-22*s**3 + s**2
Expand -10*l**2 - 8*l + 8*l - 17*l**2 - 4 + 4*l**2 + 4 + (3*l - 3*l - l)*(4 - l - 4).
-22*l**2
Expand (6*i**5 - i**5 - 4*i**5)*(4 - 1 - 5)*(2 + 3 - 3).
-4*i**5
Expand (0*d + 0*d + 6*d)*(0 - 2*d + 0).
-12*d**2
Expand (a - 4*a + 4*a + (-3*a + 6*a - 2*a)*(0 - 5 + 3) + 5*a - 2*a - 5*a)*(7*a - 13 + 13)*(-a + 3*a + 0*a).
-42*a**3
Expand (-5 + 5 + 4*w**2 + 4*w)*(-w**3 + w**3 + w**3) - 1 + 1 - 2*w**5.
2*w**5 + 4*w**4
Expand (-10 - 11 - 4)*(-7*z + 3*z + 2*z).
50*z
Expand (4*l**2 - 5*l**2 + 2*l**2)*(l + 0*l + l) + (-1 + 2 - 2)*(-l**3 + 1 - 1) - 2*l**3 - l**3 + 4*l**3.
4*l**3
Expand (-3*o + 0*o**2 + 2*o - 4*o**2)*(o**2 - o**2 - 2*o**3).
8*o**5 + 2*o**4
Expand (2 - 2 + 5*g)*(3 + 0 - 1)*(g + 4*g - 3*g).
20*g**2
Expand (-2*f + 2*f + 2*f)*(-50*f**2 + 45 - 45) + f**3 + 3*f**3 - 2*f**3.
-98*f**3
Expand (2*s**2 - 2*s**2 + s**2)*((1 - 4 + 2)*(4 + 4 - 4) + 1 + 3 - 2).
-2*s**2
Expand -2*p**2 - 2*p**2 + 5*p**2 - p + 2*p**2 + p + p - 2*p**2 - p + (p - p - p)*(5*p + 0*p - p).
-3*p**2
Expand (0*b - b + 7*b)*(2 - 3 + 3).
12*b
Expand (-4*n**2 + 0*n**2 + 2*n**2)*(1 - 1 - 2) - 4*n**2 + 6*n**2 - n**2 + 0*n**2 + 102 - 2*n**2 - 99.
3*n**2 + 3
Expand -2*o**5 + o**5 - o**5 + (-2*o - 2*o + 13*o)*(
|
{
"pile_set_name": "DM Mathematics"
}
|
-r + 1. Let s(f) = -10*f**2 + 9*f + 29*f**2 + 15 - 20*f**2 + 1. Let y be s(10). Calculate o*n(t) + y*i(t).
2*t + 1
Let g = -21 - -27. Let d(v) = -v. Let a(s) = 8*s - 2. Suppose -3 = y + 1. Let l(t) = 7*t - 1. Let u(f) = y*l(f) + 3*a(f). Determine g*d(c) - u(c).
-2*c + 2
Let n(c) = 4*c**3 - c**2 - 5*c + 2. Let g(t) = -t + 1. Let k be g(-5). Let z(r) = -r + 3*r**3 + 2 - 5*r - r**2 + 2*r**3. Give k*n(v) - 5*z(v).
-v**3 - v**2 + 2
Let j(n) = 12*n**2 - 5*n - 10. Let k(r) = r**2 + r. Give j(v) + 6*k(v).
18*v**2 + v - 10
Let j(s) = 2*s + 8. Suppose -5*q = -4 + 29. Suppose -4*a - 49 = -3*m - 124, -4*a = -5*m - 77. Let v(z) = -11 + a + 2*z + 0*z. What is q*j(h) + 6*v(h)?
2*h + 2
Let t(x) = -2*x**2 + 7*x + 11. Let s(c) = -3*c**2 + 6*c + 9. What is -7*s(y) + 6*t(y)?
9*y**2 + 3
Let m(g) = 6*g + 6. Let j(b) = -b + 5. Let o(c) = -c + 7. Let l(n) = -4*j(n) + 3*o(n). Calculate 11*l(t) - 2*m(t).
-t - 1
Let h(i) = -5*i**2 + 7*i + 7. Let y(z) = 2*z**2 - 4*z - 4. Let j be 7*-2*((-55)/(-10) + -5). Calculate j*y(v) - 4*h(v).
6*v**2
Let v(k) = 59*k**2 - 68*k + 2. Let y(f) = -29*f**2 + 32*f - 1. Determine 6*v(n) + 13*y(n).
-23*n**2 + 8*n - 1
Let u(y) = 119*y + 134*y + 27*y**3 - 271*y. Let x(h) = h**3 - h. Give -u(r) + 18*x(r).
-9*r**3
Suppose 0*y - 2*y = -6. Let b(i) = -33*i - 8. Let k(a) = 28*a + 6. Let x(w) = -5*b(w) - 6*k(w). Let d(u) = 4*u - 5. Give y*x(l) + 2*d(l).
-l + 2
Let y be ((-20)/(-6))/(-10*1/(-15)). Let a(f) = -21*f - 4. Let k(w) = 10*w + 2. Give y*k(z) + 2*a(z).
8*z + 2
Let v(u) = 12*u**3 - 9*u**2 - 519*u + 15. Let m(x) = -19*x**3 + 14*x**2 + 779*x - 24. Calculate 5*m(y) + 8*v(y).
y**3 - 2*y**2 - 257*y
Let n(z) = -16*z - 26. Let u(x) = -19*x - 26. Calculate 7*n(o) - 6*u(o).
2*o - 26
Let k(p) = -13*p**3 - 7*p**2 - 8*p + 1. Let w(g) = -13*g**3 - 6*g**2 - 7*g + 1. Calculate -6*k(f) + 7*w(f).
-13*f**3 - f + 1
Let y(u) = -u**3 - 3*u**2 - 8*u + 8. Let b(w) = -w**3 - 2*w**2 - 5*w + 5. Let o(j) = -j**3 - 35*j**2 - 122*j + 67. Let k be o(-31). Determine k*y(v) - 8*b(v).
3*v**3 + v**2
Let y(z) = -3*z + 1. Let k(f) = 5*f - 83. Calculate k(c) + 2*y(c).
-c - 81
Let o be (-294)/8 + (-9)/(-12). Let m be o/6*(-2)/(-6). Let l(p) = -p**2 + 1. Let x(z) = 4*z**2 - 2. Determine m*l(v) - x(v).
-2*v**2
Let l(b) = 4*b - 2. Let n(q) = 3*q - 4*q + 3*q**2 + 6*q - 4*q**2 - 4*q. Calculate l(o) - n(o).
o**2 + 3*o - 2
Let w be 165/25 - 1*(-8)/20. Let y(f) = 3*f**2 - 6. Let m = 34 + -40. Let v(a) = 3*a**2 - 5. What is m*y(t) + w*v(t)?
3*t**2 + 1
Let d(j) = 94*j**3 + 62*j**2. Let i(y) = -19*y**3 - 12*y**2. Determine 3*d(a) + 16*i(a).
-22*a**3 - 6*a**2
Let a(k) = -k**3 + 3*k**2 + 3*k - 3. Let s(q) be the first derivative of -5*q**4/4 + 13*q**3/3 + 13*q**2/2 - 13*q - 98. Calculate -26*a(u) + 6*s(u).
-4*u**3
Let p(q) = -5 - 8 - 5*q**2 + 0*q + 8*q**3 + 8 + 3*q + 2*q. Let x(m) = 88*m**3 - 56*m**2 + 56*m - 56. Calculate -56*p(w) + 5*x(w).
-8*w**3
Let h(f) = -f - 5. Let l be h(-6). Let g(t) = -77*t + 78*t - 3 + l. Let y(r) = 1. Give -g(m) - 2*y(m).
-m
Let x(f) = f**2. Suppose 4*o - 13 = r, -7 = -3*r - 5*o + 5. Let i = 5 + r. Let c(l) be the third derivative of -l**5/60 - 2*l**2. Calculate i*c(n) + 6*x(n).
2*n**2
Let h(b) = -2*b**3 + 4*b**2 - 2*b + 142. Let x(p) = p**3 - 3*p**2 + p - 95. Give -5*h(m) - 8*x(m).
2*m**3 + 4*m**2 + 2*m + 50
Let z(o) = -456*o**3 + 5*o**2 + 5*o. Let r(s) = 2*s**3 - s**2 - s. Determine -5*r(x) - z(x).
446*x**3
Let g(a) = -2*a**2 - 1. Let o(i) = 45*i**2 - i - 5. Calculate -3*g(k) + o(k).
51*k**2 - k - 2
Let o(d) = -26*d - 13. Let i(a) = 24*a + 11. What is -5*i(u) - 4*o(u)?
-16*u - 3
Let t(l) = 36*l + 13. Let x(p) = 74*p + 29. What is 9*t(h) - 4*x(h)?
28*h + 1
Let c(q) = 23*q**2 + 8*q + 30. Let a(w) = -13*w**2 - 4*w - 16. Calculate -7*a(d) - 4*c(d).
-d**2 - 4*d - 8
Let f(k) = -7*k**2 + 5*k - 9. Let l(c) = -6*c**2 + 4*c - 8. Let t(p) = 5*f(p) - 6*l(p). Let h(n) = 4*n + n + 2*n - 4*n + 13 + n + 5*n**2. Give 4*h(a) - 18*t(a).
2*a**2 - 2*a - 2
Suppose 0 = -5*f - 3 - 17. Let q(k) = 2*k**2 - 4*k. Let t(v) = v. Let a(n) = 3*n**2 - 8*n. Let p(u) = a(u) + 3*t(u). Calculate f*p(h) + 5*q(h).
-2*h**2
Let b = -4119 - -4108. Let j(z) = z + 11. Let k(w) = 14. Let g(y) = -5. Let p(u) = 8*g(u) + 3*k(u). Give b*p(l) + 2*j(l).
2*l
Let r be (-2)/10 + (-20)/25. Let n(c) = c + 11. Let b(y) = y + 6. Let f(v) = -5*b(v) + 3*n(v). Let a(m) = 4 - 21 + 11 + 5. Determine r*f(p) - 5*a(p).
2*p + 2
Let y(o) = -o + 1. Let s(i) = -i + 1. Let g(x) = -4*s(x) + 5*y(x). Let j(l) = -2*l**2 + 7*l - 9. Give 6*g(f) + j(f).
-2*f**2 + f - 3
Let t(i) = -3*i**2 + 4 - 2*i**2 - i**2. Let m(f) = -7*f**2 + 5. Let j(p) be the first derivative of p**2/2 + p - 2. Let w be j(-5). Determine w*m(v) + 5*t(v).
-2*v**2
Let x(g) = -2*g**2 - g - 1. Let v(h) = -9297*h**2 - 4132*h - 4132. Determine v(y) - 4132*x(y).
-1033*y**2
Let q(u) = u**2 - 12*u - 23. Let h be q(-2). Let b(v) = -5*v - 14. Suppose -6*w + 9*w + 24 = 0. Let m(f) = -3*f - 9. Give h*b(d) + w*m(d).
-d + 2
Let d(f) = 4*f**2 - 11*f + 2. Suppose -q - 1 = 5. Let y(u) = -11*u + 0 + 5*u + 1 + 2*u**2. What is q*d(r) + 11*y(r)?
-2*r**2 - 1
Let t(i) = 2*i + 1. Let k(v) = 57*v + 6. Calculate -k(x) + 5*t(x).
-47*x - 1
Let x(z) = 3*z**2 + 2*z. Let d(w) = -w**3 - 8*w**2 + 8*w + 2. Let y be d(-9). Let b(c) = -4*c**2 + 0*c - y*c - 12*c**2. Determine -2*b(o) - 11*x(o).
-o**2
Let y(o) = -5*o - 8. Let m = 148 - 150. Let h(r) = -r - 2. Determine m*y(j) + 9*h(j).
j - 2
Let a(k) = 3*k + 16. Let p(z) = 2*z + 7. Let o(r) = -2*a(r) + 5*p(r). Let b(c) = 36*c + 28. Calculate -6*b(y) + 56*o(y).
8*y
Let v(q) = -407*q**3 + 4*q**2 - 4*q. Let o(i) = -209199*i**3 + 2055*i**2 - 2055*i. Determine 4*o(w) - 2055*v(w).
-411*w**3
Let c(t) = t**2 + 5*t + 3. Let f(m) = -7*m**2 - 6*m - 16. Let s(j) = -13*j**2 - 14*j - 30. Let v(x) = 7*f(x) - 4*s(x). Give -17*c(b) + 6*v(b).
b**2 - b - 3
Let v(m) = -m**2 + 7*m - 8. Let n be v(4). Let k(s) = 17*s. Let q(l) = 8*l. Determine n*k(t) - 9*q(t).
-4*t
Let w(i) = -1. Let k(a) = -35*a + 3. Give -k(s) - 5*w(s).
35*s + 2
Let m(y) = -2*y - 3. Let p(w) = 8*w - 8. What is m(b) + p(b)?
6*b - 11
Let h(v) = -7*v + 1. Let n(f) = -8*f + 12. Give h(s) - n(s).
s - 11
Let u(q) = 2*q**3 + 28*q**2 + 5*q - 8. Let w(s) = -6*s**3 - 85*s**2 - 14*s + 23. Calculate 17*u(y) + 6*w(y).
-2*y**3 - 34*y**2 + y + 2
Let w(k) = 5*k. Let g(t) = -2*t + 3. Let n(o) = o - 2. Let i(a) = 2*g(a) + 3*n(a). Let z = -21 - 95. Let b be z/10 - (-8)/(-20). Determine b*i(x) - 3*w(x).
-3*x
Let z(c) = -19*c**2 + 1096*c - 11. Let d(g) = 7*g**2 - 365*g + 4. Give 11*d(a) + 4*z(a).
a**2 + 369*a
Let o(y) be the third derivative of y**4/24 + y**3/3 + 112*y**2 + y. Let c(v) be the third derivative of -v**4/24 - v**3/3 - 4*v**2. What is -6*c(h) - 5*o(h)?
h + 2
Suppose 5*r - 51 = -16. Suppose 0 = r*t + 5*t - 12. Let u(s) = -s**2. Let d(w) = -w**2 + w. Calculate t*u(j) - 2*d(j).
j**2 - 2*j
Let f = 408 - 405. Let t(i) be the second derivative of 0 - 2*i - 3/2*i**f + 5/2*i**2. Let m(r) = -4*r + 2. Determine 5*m(o) - 2*t(o).
-2*o
Let l(o) = -9*o**2 + 5*o - 2. Suppose -15*r = -25 + 115. Let x(w) = 10*w**2 - 6*w + 2. What is r*l(s) - 5*x(s)?
4*s**2 + 2
Let r(i) = -3*i - 24. Let v(a) = 4*a - 1. Determine r(w) - 5*v(w).
-23*w - 19
Let x(n) = 91*n**3 - 4*n - 4. Let d(f) = 10374*f**3 - 455*f - 455. What is 4*d(w) - 455*x(w)?
91*w**3
Let v be -4 + -3 + 2/2. Let i be (v/(-5))/(4/40). Let d(b) = 14*b + 2. Let o(u) = -10073*u + 5039*u + 5033*u. Determine i*o(s) + d(s).
2*s + 2
Let r(o) = 11*o**3 - 3*o**2 - 5*o + 3. Let j(a) = 17*a**3 - 5*a**2 - 8*a + 5. Let u(f) = 3*f**2 - 59*f + 85. Let x be u(18). Calculate x*j(t) + 8*r(t).
3*t**3 + t**2 - 1
Let j(f) = -3*f + 9. Let s(t) = 10*t - 27. Let q be (-3)/(-4) - 475/(-380). Calculate q*s(k) + 7*j(k).
-k + 9
Let v(w) = -5*w**2 - 5*w + 5. Let r(b) = 4 - b**3 + 13*b**2 + 2*b**3 + 12 + 13*b. Let m be r(-12). Let o(q) = 4*q**2 + 4*q - 4. Give m*o(a) + 3*v(a).
a**2 + a - 1
Let h(q) = q + 415 + 6*q - 410. Let d(u) = -13*u - 9. Give -3*d(p) - 5*h(p).
4*p + 2
Let f(j) = 26*j + 5. Let z(d) be the second derivative of -3*d**3/2 - d**2 + 10*d + 5. Calculate 3*f(l) + 8*z(l).
6*l - 1
Suppose -20*l - 8 = -i - 16*l, -4*i + 5*l = -21. Let z(y) = -4*y**3 - 7*y**2 - 4*y + 4. Let x(d) = 2*d**3 + 4*d**2 + 2*d - 2. Determine i*z(m) + 7*x(m).
-2*m**3 - 2*m + 2
Let o(d) be the second derivative of 7*d**4/12
|
{
"pile_set_name": "DM Mathematics"
}
|
- b, 3*i + 4*h = 5*i - 34. Solve 16 - i = -3*r for r.
-3
Let t be -2 + 5 - (-6)/(-10 - -4). Suppose 3*g - 20 = -t*h, 4*g = -2*h - 2*h + 32. Solve -g*x - 1 = -17 for x.
4
Let f = 11 + -3. Let a be (-2)/2*(f + -9). Solve 5*n = -a - 4 for n.
-1
Suppose 5 = 5*b + 5*f, 0 = -4*b + 2*f + 5 + 11. Suppose -b*q + q = -50. Solve 2*w = -3*w - q for w.
-5
Suppose 3*n + 3*n = 24. Solve n*o = -5 + 25 for o.
5
Let x(t) = -2*t**2 - 7*t + 12. Let h be x(-5). Let y be 1/(-1) + 3 - h. Let u be -6*(3 - 19/3). Solve -y*l = -l - u for l.
5
Suppose -2*b = -320 - 18. Let g = b + -157. Solve 4*w = -0*w + g for w.
3
Let s be -5*(-3)/(-2)*-2. Let y = s + -19. Let m be 45/(-10)*y/9. Solve 0 = -3*d + m - 5 for d.
-1
Let h(v) = v**3 - v**2 + 1. Let u be h(2). Solve 2*b + u + 1 = 0 for b.
-3
Let p = -26 - -21. Let j(v) = -v**3 - 6*v**2 - 5*v + 4. Let s be j(p). Suppose -5*a - 2*l + 4 = -l, s*a + 16 = 4*l. Solve a = -6*x + x for x.
0
Let z(w) be the second derivative of -w**3/2 + 33*w**2/2 - 28*w. Let f be z(11). Solve f*m - m = 3 for m.
-3
Let q(p) = p**2 + 50*p + 482. Let h be q(-13). Solve 22*d = 23*d - h for d.
1
Let p = 2469 + -2402. Solve -p + 11 = -14*w for w.
4
Let n(c) be the second derivative of c**4/2 - c**3/2 - c**2/2 + 14*c. Let b be n(-1). Solve 2*j - b = -0*j for j.
4
Let x be (-1 - -4)*(2 + 8/(-6)). Suppose x*w - p - 16 = 0, 4*w - p - 4*p - 32 = 0. Solve 2 + w = 2*v for v.
5
Let k = 40 + -36. Suppose -k = -7*i + 3. Solve -3*o = -2*o - i for o.
1
Let v = -1206 + 1211. Solve t - v*t = 0 for t.
0
Let x = 117 - 113. Solve 8*m + x = 12 for m.
1
Let g = -15 - -19. Suppose -9*h = -g*h. Suppose h = -2*x + i + 15, -x + 2*i + i + 20 = 0. Solve 4*q + 1 = x for q.
1
Let m(o) be the second derivative of -o**4/12 + o**3/6 + o. Suppose -3*t = 2*v + 13, -11 = 4*v + 2*t + t. Let i be m(v). Solve -2*j - 2*j - 8 = i for j.
-2
Let w be (-3 + -2 + 4)*4. Let s(n) = n**2 + 6*n + 10. Let v be s(w). Suppose -4*q - q - 25 = -5*b, 0 = -2*b + 5*q + 19. Solve 0 = -b*o + 8 + v for o.
5
Let f be 0 + 17 + -5 + -1 + 9. Suppose 0 = 4*v - f + 8. Solve -m + 16 = v*m for m.
4
Suppose -4*i - 2 = 2*x, i + 19 = -3*x + 3*i. Let g(s) = s**2 + 3*s - 8. Let t be g(x). Solve 5*k = -8 - t for k.
-2
Let j(s) = -9*s**3 - s**2 - 12*s + 9. Let w(d) = 5*d**3 + 6*d - 5. Let a(x) = 6*j(x) + 11*w(x). Let y be a(7). Solve -y + 0 = -2*c for c.
3
Let u(p) = p**2 - 2*p + 6. Let n be u(4). Let w = 26 - n. Solve 4*d + 0 = -w for d.
-3
Let t(g) = g**3 + 11*g**2 - 14*g - 12. Let b be t(-12). Solve 0 = 14*k - b*k + 4 for k.
-2
Let o(k) = -k**2 - k + 2. Suppose 2*y - 4 + 2 = 0. Let r be o(y). Solve r*l + 8 = 4*l for l.
2
Let k = -3 + 7. Let y be ((-48)/(-28))/(k/14). Let l = y + -6. Solve 7*o - 3*o = l for o.
0
Suppose 4*k - 60 = k. Suppose 4*l - k = -4*i, 2*i + i + 2*l - 10 = 0. Let m be 3*2/(-6)*-2. Solve i*v = m*v for v.
0
Suppose 4*q + 2 + 2 = -3*p, 2*p + 6 = -q. Let v be q/6 - 23/(-3). Suppose 3*w = v*w - 10. Solve w + 8 = 5*z for z.
2
Let y = 13 - 0. Suppose 0 = -10*d + y*d. Solve 0*b + b = d for b.
0
Let s = -1 + 5. Suppose -2*h + 0*h + s*h = 0. Suppose 0*g + 3*g + 4*t - 20 = 0, 3*g + 5*t - 16 = 0. Solve 2*k - g + 4 = h for k.
4
Suppose 2*k - 20 = -3*k + 5*r, 3*k - 10 = r. Suppose -15 + k = -v. Let u = 12 - v. Solve d + d = u for d.
0
Suppose -3*l + 2*s + 170 = 0, 5*l - 3*s = -29 + 314. Suppose 28 = -8*w + l. Solve -r - w = -1 for r.
-3
Let x = -73 - -103. Let b = 2 - -23. Let s = x - b. Solve u - s = -1 for u.
4
Let h = -35 - 29. Let v = h - -66. Solve -3*a = -v*a for a.
0
Let a = 0 - -15. Let j(d) = 1 - 12 + 4 - 5 - 2*d. Let w be j(-8). Solve 0 = -w*q - a - 5 for q.
-5
Let d(k) be the third derivative of -k**6/120 - k**5/15 + k**4/4 + 5*k**3/6 + 26*k**2. Let j be d(-5). Solve 3*b + 2 - 5 = j for b.
1
Let r = 189 + -186. Solve -r*d - 2*d - 5 = 0 for d.
-1
Suppose -10*v - 2 = -32. Suppose -4*d + 6 = -v*d + 5*r, -4*d = 3*r - 7. Suppose -z + 5 = -2*p, -2*p = 5*z - 4*p - 49. Solve z = -4*i - d for i.
-3
Let z be ((-2)/(-7))/(10/70). Solve z*l = -1 + 3 for l.
1
Let y = 68 - 68. Suppose 3*h = l - 0*l - 15, -4*l + 5*h + 25 = y. Let c be (-2)/6 + (-7)/(-3). Solve l = 3*q - c - 10 for q.
4
Suppose 6*t - 5 = 19. Suppose -5*z = a - 27 + 9, 0 = t*a + 5*z - 72. Suppose 5*j + 3*s = a, -2*j - 3*s + 6*s = -3. Solve 4 = b - j*b for b.
-2
Let o be ((-74)/111)/((-4)/6). Solve 2*q - q + o = 0 for q.
-1
Let p = -145 + 145. Solve p*j = 6*j for j.
0
Suppose 0*a - 5*a - j = 47, 5*a - 4*j + 62 = 0. Let b be (-30)/25*a/6. Solve 2*q = -b*q - 12 for q.
-3
Suppose -5*k - 2*k = -5*k. Let y(x) = x + 1. Let n be y(1). Suppose 2*z - 5*d = 5, 0 = z - 3*d - 4 + n. Solve k = -z*c + 4*c for c.
0
Suppose 2*l - 5*l - c = -15, -2*l - c = -11. Suppose -6 = 2*x - 3*d - 2, -16 = -l*d. Solve 0 = -x*t + 2*t for t.
0
Let p = -1052 + 1062. Solve 3*v - p*v = 7 for v.
-1
Let a(b) = -b**3 + 2*b**2 + 4*b. Let x be a(3). Suppose 0*r - 106 = 2*r. Let m = -53 - r. Solve m = -i + 2*i - x for i.
3
Let s = 1 + 2. Let r(m) = -3*m**2 - 12*m. Let t be r(-4). Solve t - s = y for y.
-3
Let i be (63/12)/(6*1/32). Solve -q + i = 6*q for q.
4
Let u = 26 - 23. Suppose u*o = 3*m - 6, -2*o = -4*m + 5 + 1. Solve s + m + 1 = 0 for s.
-2
Suppose 2*d + 23 = 4*y + 9, 4*d = 4*y - 20. Suppose 3*w = 5*w - 24. Let z be (12/(-7))/(w/(-42)). Solve y*f = z*f + 12 for f.
-3
Suppose 0*q + 32 = t + 4*q, -2*t = -2*q - 14. Solve 0 = 9*f - t*f + 15 for f.
5
Let h = 82 + -82. Suppose 3*m + 7*m - 2*m = h. Solve -2*b = -m - 4 for b.
2
Let c = -231 - -233. Solve c*j - 25 = -29 for j.
-2
Let r(o) = -10*o**2 + 14 + 14 - o**3 + 9*o - 35. Let z be r(-11). Let i be ((-42)/15)/((-6)/z). Solve 5*y - i = 8 for y.
3
Suppose -3*s + 8 = s. Suppose 3*z = -2*u, u + s*z + 1 = -0*u. Solve -u*g = 2*g + 25 for g.
-5
Let o = 226 - 207. Solve 28 = -3*f + o for f.
-3
Suppose 31*q - 57*q = -104. Solve -p = q*p for p.
0
Let g be (-1 - -2)/(5/45). Suppose -20 = -g*h + 5*h. Solve 2*n - h = n for n.
5
Let g(p) = p + 16. Suppose 5*f + 73 = -2. Let m = -15 - f. Let a be g(m). Solve -3*x + a = x for x.
4
Suppose 0 = 2*w + 5*q + 10, 1 - 5 = 4*w + 2*q. Suppose 4 = 2*v - w. Solve 6*h = v*h - 8 for h.
-2
Suppose 12 = 4*o + 88. Let b = 23 + o. Solve b*z - z - 12 = 0 for z.
4
Let h be 4/2 + 1/(-11)*-11. Solve -8 - 4 = h*r for r.
-4
Let g be (6 + -11 - -1) + 14. Suppose 15 = -6*s + 111. Solve -14*a + s = -g*a for a.
4
Let k be -2 - -2*(3/(-3) - 0). Let j be -1*(-7 - 0) + k. Solve j*u = -8 - 1 for u.
-3
Let u be (238/(-357))/(-2*(-1)/(-12)). Solve u + 0 = c for c.
4
Let n be 12/66 - 84/(-22). Suppose 0 = -n*m - 4*j, -4*j = m + 7 + 2. Suppose -2*r = -4*f + 2, 1 = 2*f - 2*r + m. Solve 0 = f*k - 2 for k.
1
Let l(k) = 18*k**2 + 1. Let t be l(1). Let y(n) be the first derivative of -n**4/4 + 3*n**3 - 9*n**2/2 + 11*n + 6. Let z be y(8). Solve t = -4*i + z for i.
-4
Suppose j - c = 5, -4 = -j - c + 1. Solve -10*h + j*h = 25 for h.
-5
Let k(w) = -w**3 + 11*w**2 + 16*w. Let i be k(12). Let g = i + -44. Solve g*v + v = -25 for v.
-5
Let n = 18 + -10. Let z = n + -5. Suppose -10 = -z*y + y. Solve 0 = 4*q - y*q for q.
0
Suppose -5*a + 75 = -3*g - 238, 4*a - 252 = 2*g. Solve 66*j - a*j + 4 = 0 for j.
-4
Let l = 7 + -7. Let x(c) = 91*c**2 + 6 + 0*c + 6*c - 90*c**2. Let h be x(-6). Solve l*a - 2*a = h for a.
-3
Let r = 30 + -25. Suppose 9 = 3*d, -r*u + 15 = -0*u + 5*d. Suppose 3*l + l = u. Solve l = 2*g - 4*g - 2 for g.
-1
Let u(q) be the third derivative of q**4/6 - 59*q**3/6 - 14*q**2. Let x be u(16). Solve 5 = x*l + 15 for l.
-2
Let o(w) = -3*w**2 + 92*w + 14. Let v be o(30). Solve -76*k = -v*k + 10 for k.
-5
Suppose o - 20*o = -57. Solve 14 = -o*q + 17 for q.
1
Let w be (-2)/6 - (-10)/3. Let o(g) = -g**3 + 2*g**2 + 4*g. Let j be o(w). Let u = -54 + 57. Solve -u*s + 12 = j for s.
3
Let q = 1 - 0. Let x(j) = -2*j - 3. Let p be x(-4). Suppose -4*s + 11 = n, 2*s - 17*n + 18*n = 3. Solve p*a + s + q = 0 for a.
-1
Suppose -2*q + 2*g + 76 = 0, 2*q + 0*g + g - 64 = 0. Solve -3*z = q - 22 for z.
-4
Suppose 55*a - 50*a - 36 = -i, -24 = -4*a - 2*i. Solve a = 6*m - 8*m for m.
-4
Let u = 43 + -29. Suppose -4*r = -5*a - u - 6, r - 5 = 4*a. Suppose a = 3*p - 2*g + 6, -p - g = -3*p - 3. Solve 0 = -2*m - 2 - p for m.
-1
Let z(m) = m + 9. Let j(d) = -d. Let a(y) = -4*j(y) - z(y). Let t be a(4). Suppose 2*k - 14 = -5*o + 4*k, 3 = -t*o + 5*k. Solve -l - o + 0 = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
1, -x - 3*f = 3*x + 339. Let d = x - -91. List the prime factors of d.
2
Let s = -70 + 123. Let t be 3/12 - (-2)/(-8). Suppose 43 = 3*x - 3*w - 14, t = 2*x - 5*w - s. What are the prime factors of x?
2, 7
List the prime factors of 17/(1/(144/8)).
2, 3, 17
List the prime factors of 5236/7 - (-1 - 1) - -4.
2, 13, 29
Let q = -56 + 42. List the prime factors of q*(30/(-35) - 0).
2, 3
Let r(j) = j**3 - 8*j**2 - 2*j + 16. Let l be r(8). Suppose l = -y + 67 + 28. What are the prime factors of y?
5, 19
Let h(g) be the second derivative of g**6/30 - g**5/120 - 2*g**4/3 + 4*g. Let d(n) be the third derivative of h(n). List the prime factors of d(1).
23
Suppose 2*x + 1 = -3. Let q be (3 - -1) + (-4 - x). What are the prime factors of 2/(-2)*(-15 + q)?
13
Let d(s) = s + 4*s - 3 - 2*s + 0*s. Let k be d(2). Suppose -7*q + k*q = -32. List the prime factors of q.
2
Suppose -2*f = -2 - 2. What are the prime factors of 85/(-10)*(-6 - f)?
2, 17
Suppose -3596 = 27*b - 15476. List the prime factors of b.
2, 5, 11
Suppose 7*s - 427 - 1813 = 0. List the prime factors of s.
2, 5
Let g = 162 - 294. Let m = 370 + g. What are the prime factors of m?
2, 7, 17
Let f = -4341 - -6680. List the prime factors of f.
2339
Let l(a) = -a**3 + 6*a**2 + 4*a + 3. Suppose 0 = 3*d + 4*o + 136, 0 - 2 = -o. Let c be d/28*(-7)/2. List the prime factors of l(c).
3
Let v = 1 - 10. Let a be ((-6)/v)/((-6)/(-45)). Suppose -3*o + 221 = 4*g, 0*o + a*o = g - 84. List the prime factors of g.
59
Let b(u) = u + 8. Let r = 16 - 4. Let n be ((-9)/6)/(r/(-64)). What are the prime factors of b(n)?
2
Let o be (7 - 9)/(0 - 2/(-4)). List the prime factors of (-1 - (-73 - o)) + 2.
2, 5, 7
Suppose 0 = -l - 5*m + 1137, 2*l - 4*m - 1231 = 1099. What are the prime factors of l?
13, 89
Let n(h) = -h**3 + 2*h**2 - 8*h - 15. What are the prime factors of n(-5)?
2, 5
Let z be 4/10 + (-19980)/(-50). Suppose -4*q + z = -0*q. List the prime factors of q.
2, 5
Let l be -2*4*(-1 + 12/(-16)). Suppose t = 2*t + 5. Let x = l + t. List the prime factors of x.
3
Let l = -443 + 1525. List the prime factors of l.
2, 541
Let r(w) = -2*w**3 + 9*w**2 + 8*w - 6. Let l be r(5). What are the prime factors of 74/l - 32/144?
2
Let g be -2*(-5)/20*2. What are the prime factors of (g - 0)*2*33?
2, 3, 11
Let s be (-2 + 2)/(-5 - (-3)/1). Let m(o) = -o + 1. Let v be m(-11). Suppose s = -12*l + 14*l - v. List the prime factors of l.
2, 3
Suppose -5*h = -4*q - 11035, 15*h - q - 11020 = 10*h. What are the prime factors of h?
2203
Let z(k) = k**2 - 5*k - 1. Let t be z(5). Let a be 8/(-6)*(-4 - t). Suppose -a*m = 2*p - 3 - 15, -5*m + p = -19. What are the prime factors of m?
2
Let x = 31 - 89. Let f = 57 - 85. Let n = f - x. List the prime factors of n.
2, 3, 5
Let b(z) = 23*z**2 + 3*z - 9. Let g be b(6). Suppose 0*y - g = -9*y. List the prime factors of y.
3, 31
Suppose -6*c + 7*b + 448 = 2*b, 0 = -5*c + 4*b + 374. List the prime factors of c.
2, 3, 13
Let g(t) = 0*t + 38 - 2*t + 6*t + 6*t. List the prime factors of g(16).
2, 3, 11
Suppose -107*g + 30 = -105*g. Let w(p) = -p**2 + 16*p + 34. List the prime factors of w(g).
7
List the prime factors of 14/21*3909/2.
1303
Let u(z) = -6*z**3 - z**2. Let x be u(-1). Suppose 5*t - x*s - 5 = 0, t = -s + 1 - 2. Suppose t*o = -4*o + 72. What are the prime factors of o?
2, 3
Let c be 35*(0 + (-2 - -3)). Let o = c - 25. Suppose 4*d = -o + 94. What are the prime factors of d?
3, 7
Let v = -81 - -87. Suppose -v = 2*k - 212. What are the prime factors of k?
103
Let n be (171/6)/(8/16). Let i = 83 - n. List the prime factors of i.
2, 13
Let t = 10 - 6. Suppose -4*a + 16 = -t*x - 12, -4 = 4*x + 2*a. List the prime factors of (63/(-28))/(x/8).
2, 3
What are the prime factors of 55 + (27/6)/(6/(-8))?
7
Let c = -2 - 0. Let a be (3/3*-50)/c. Suppose 5*z + 5 - a = 0. What are the prime factors of z?
2
Suppose 2*w + 0*w + 44 = 5*h, -32 = 2*w - 2*h. Let q = -7 - w. Let i(t) = -t**2 + 5*t + 6. List the prime factors of i(q).
2, 3
Let u = -32 - -58. Suppose -u*k + 12 = -23*k. What are the prime factors of k?
2
Let v = -28 + 32. Suppose v = -4*g + 2*m, g = -g - 3*m - 10. What are the prime factors of -19*(g + -1 + 2)?
19
Suppose -2*o = -4*d - 1202, -4*o + o = 5*d - 1836. List the prime factors of o.
607
Let f = 81 + 45. List the prime factors of f.
2, 3, 7
Let l(x) = -x**3 - 13*x**2 - x - 4. Let a(u) = -2*u**3 - 25*u**2 - 3*u - 8. Let q(p) = 3*a(p) - 5*l(p). What are the prime factors of q(-10)?
2, 3
What are the prime factors of 1892/6*(-111)/(-74)?
11, 43
Suppose 4*r = 3*c + c - 68, -5*c - 3*r + 77 = 0. What are the prime factors of 1*-1 + 13/2*c?
103
Let r(j) = 273*j**3. Let b = -69 - -70. List the prime factors of r(b).
3, 7, 13
Let h be (-2)/4 - 3/(-6). Suppose h*j + 253 = 11*j. List the prime factors of j.
23
Suppose 0 = 10*y - 3411 - 739. What are the prime factors of y?
5, 83
Suppose 2*w = 2*s - 0*w - 4816, 7224 = 3*s + 2*w. List the prime factors of s.
2, 7, 43
Let w(i) = 6*i + 63. Let f be w(19). Let v = 192 - f. List the prime factors of v.
3, 5
Let j(r) = 116*r**2. Let x(y) = y**2 + 2*y - 2. Let t be x(1). What are the prime factors of j(t)?
2, 29
List the prime factors of ((-1)/3)/((-57)/319086).
2, 3, 311
Suppose b + 3*b - 104 = 0. List the prime factors of 102/14 + b/(-91).
7
Suppose 79*h - 3*x - 7412 = 77*h, 2 = -x. What are the prime factors of h?
7, 23
Suppose -c = -5*u - 2*c - 45, 5*c = 0. Let i(m) = m**2 + 6*m + 5. Let z be i(u). Let v = z + 7. What are the prime factors of v?
3, 13
Let w(a) = 7*a**3 - 5*a**2 + 24*a - 1. What are the prime factors of w(4)?
463
Let r(x) = 77*x**2 + 183*x - 7. List the prime factors of r(5).
2833
Suppose o + 0 = 46. Let p = o + -28. What are the prime factors of (-3)/(-18) - (-447)/p?
5
Let o(f) = -332*f - 156. What are the prime factors of o(-15)?
2, 3, 67
Let u(x) = -x**3 - 22*x**2 + 18*x - 2. Let i = 74 - 97. List the prime factors of u(i).
113
Suppose 620 = 12*s - 820. Suppose 3*y - 2*i + 0*i = s, -9 = -3*i. What are the prime factors of y?
2, 3, 7
What are the prime factors of (2/10)/(2/170)?
17
Let x(y) = 74*y**2 - 16*y + 7. What are the prime factors of x(3)?
5
Suppose -3*f + 2*w = 31, 3*f + 4*w + 1 = 2*f. What are the prime factors of -57*(-3)/f*-1?
19
Let t(o) = -38*o**3 - o**2 - 5*o - 6. Let z(q) = 2*q**2 + 11*q - 8. Let s be z(-6). List the prime factors of t(s).
2, 19
Let h(n) = -2*n + 4. Let f be h(-4). Let u = 17 - f. List the prime factors of u.
5
Suppose 3*s + s + 4*f = 60, 5*s - 57 = f. What are the prime factors of 1*(s - 12/3)?
2
Let i = -38 - -27. Let p = i - -15. Suppose -p*l - 7 + 31 = 0. List the prime factors of l.
2, 3
Suppose x = -4*a + 18, 4*a + 4 = 2*x + 28. Suppose -139 = -a*t + 431. What are the prime factors of t?
2, 3, 19
Let a(l) = -2*l**2 + 2*l + 4. Let d be a(3). What are the prime factors of (d/(-60)*24)/((-1)/(-35))?
2, 7
Suppose 4*l - 15 = -l + 3*r, 3*l - 33 = -3*r. Suppose l*o = 524 - 218. List the prime factors of o.
3, 17
Suppose -4*a = d + 432 - 1392, 3*d = -2*a + 470. What are the prime factors of a?
241
Suppose 5*d - z - 1002 = 0, -d + 2*z = -z - 206. Let o = d - 82. List the prime factors of o.
2, 59
Suppose t - 67 = -4*y, 33*t - 30*t - 4*y - 233 = 0. List the prime factors of t.
3, 5
Suppose 6641 = 20*u + 9*u. List the prime factors of u.
229
Let n = 38 + -30. List the prime factors of n + 1/((-2)/4).
2, 3
Let x(m) = -102*m - 181. What are the prime factors of x(-5)?
7, 47
Suppose -81*o = -28*o - 219738. List the prime factors of o.
2, 3, 691
Suppose -2*y + 7*y - 3*d + 44 = 0, -4*d = -12. Let o = 28 - y. List the prime factors of o.
5, 7
Let q be (-17)/(-3) - (-26)/(-39). Suppose 4*x + 5*g = 1, q*x = 5*g - 3*g + 26. Suppose -x*k = -15 - 21. List the prime factors of k.
3
Let q(y) be the third derivative of -2/3*y**3 + 5/12*y**4 - 1/60*y**5 + 5*y**2 + 0 + 0*y. What are the prime factors of q(7)?
17
Suppose 34 = 4*t - 278. Let b = 120 - t. List the prime factors of b.
2, 3, 7
Let k = 1163 - -2752. List the prime factors of k.
3, 5, 29
Suppose -28*j + 21*j = -1778. List the prime factors of j.
2, 127
Let b(c) = 2*c - 5. Let w(v) = 4*v - 11. Let f be w(5). What are the prime factors of b(f)?
13
Let f be (208 - 13) + 6/(-2). Suppose -f = -11*z + 2162. What are the prime factors of z?
2, 107
Let y = 3252 + -1830. What are
|
{
"pile_set_name": "DM Mathematics"
}
|
-1237520, -4175412, -9896266, -19327736, -33397476?
-154609*r**3 - 321*r - 6
What is the r'th term of 5316770, 5316770, 5316758, 5316728, 5316674, 5316590, 5316470?
-r**3 + 7*r + 5316764
What is the q'th term of -343, 389, 2373, 6233, 12593, 22077, 35309, 52913?
104*q**3 + 2*q**2 - 2*q - 447
What is the p'th term of -39607, -78756, -117897, -157030, -196155, -235272, -274381?
4*p**2 - 39161*p - 450
What is the a'th term of 16440, 33149, 49864, 66585?
3*a**2 + 16700*a - 263
What is the t'th term of -10991, -44555, -100689, -179387, -280643, -404451, -550805, -719699?
t**3 - 11291*t**2 + 302*t - 3
What is the g'th term of 165911, 165857, 165799, 165737, 165671?
-2*g**2 - 48*g + 165961
What is the a'th term of 5291, 8917, 12543, 16169, 19795, 23421?
3626*a + 1665
What is the g'th term of 11706792, 23413585, 35120378, 46827171, 58533964, 70240757?
11706793*g - 1
What is the v'th term of 4179, 8161, 12143, 16125, 20107, 24089?
3982*v + 197
What is the c'th term of 15954, 33154, 50352, 67548, 84742?
-c**2 + 17203*c - 1248
What is the b'th term of -6993415, -6993418, -6993421, -6993424, -6993427?
-3*b - 6993412
What is the l'th term of -13109, -26298, -39487, -52676, -65865, -79054?
-13189*l + 80
What is the k'th term of -1454, -5171, -10460, -17315, -25730, -35699, -47216?
k**3 - 792*k**2 - 1348*k + 685
What is the r'th term of -1413, -8640, -27507, -63834, -123441, -212148, -335775?
-970*r**3 - 437*r - 6
What is the r'th term of -15442, -17491, -19540, -21589, -23638?
-2049*r - 13393
What is the x'th term of 2828, 11658, 26402, 47054, 73608, 106058?
-x**3 + 2963*x**2 - 52*x - 82
What is the z'th term of -14, 535, 1108, 1705, 2326, 2971?
12*z**2 + 513*z - 539
What is the i'th term of -51077, -203061, -455953, -809747, -1264437, -1820017, -2476481, -3233823?
i**3 - 50460*i**2 - 611*i - 7
What is the c'th term of 1313357, 2626742, 3940127, 5253512, 6566897, 7880282?
1313385*c - 28
What is the m'th term of -19201350, -19201347, -19201344?
3*m - 19201353
What is the g'th term of -2257630, -2257718, -2257806?
-88*g - 2257542
What is the a'th term of -41254, -41808, -42362, -42916?
-554*a - 40700
What is the q'th term of -41137, -40891, -40475, -39889?
85*q**2 - 9*q - 41213
What is the a'th term of -16873120, -33746234, -50619348, -67492462, -84365576?
-16873114*a - 6
What is the r'th term of 24, 1498, 5542, 13440, 26476, 45934, 73098?
214*r**3 + r**2 - 27*r - 164
What is the y'th term of -26971, -27077, -27183?
-106*y - 26865
What is the w'th term of 1555391, 1555404, 1555417?
13*w + 1555378
What is the u'th term of -98878220, -98878219, -98878216, -98878211, -98878204, -98878195, -98878184?
u**2 - 2*u - 98878219
What is the i'th term of 1687, 3348, 7841, 16576, 30963, 52412, 82333, 122136?
235*i**3 + 6*i**2 - 2*i + 1448
What is the d'th term of -1361289, -1361244, -1361199, -1361154, -1361109?
45*d - 1361334
What is the m'th term of 421, 2277, 6571, 14287, 26409, 43921, 67807?
164*m**3 + 235*m**2 + 3*m + 19
What is the i'th term of 31, 1693, 6499, 16021, 31831, 55501, 88603?
262*i**3 - 172*i - 59
What is the t'th term of 874408, 874386, 874364, 874342, 874320?
-22*t + 874430
What is the l'th term of 53088, 56921, 60754?
3833*l + 49255
What is the g'th term of -10198, -38558, -85824, -151996, -237074?
-9453*g**2 - g - 744
What is the a'th term of -1535, -3125, -4829, -6701, -8795?
-9*a**3 - 3*a**2 - 1518*a - 5
What is the k'th term of 48227, 96230, 144233, 192236, 240239?
48003*k + 224
What is the c'th term of 1044170, 2088336, 3132496, 4176650?
-3*c**2 + 1044175*c - 2
What is the b'th term of -4146, -16528, -37164, -66054, -103198, -148596, -202248?
-4127*b**2 - b - 18
What is the w'th term of 54469, 114216, 173963, 233710, 293457, 353204?
59747*w - 5278
What is the d'th term of 409, 248, 123, 52, 53, 144, 343?
3*d**3 - 182*d + 588
What is the d'th term of 25493931, 25493936, 25493945, 25493958, 25493975?
2*d**2 - d + 25493930
What is the m'th term of 291752, 292018, 292284, 292550?
266*m + 291486
What is the c'th term of -9773, -8404, -6113, -2894, 1259, 6352, 12391?
c**3 + 455*c**2 - 3*c - 10226
What is the u'th term of 5391, 6387, 8047, 10377, 13383, 17071, 21447?
u**3 + 326*u**2 + 11*u + 5053
What is the v'th term of -1536788, -3073580, -4610368, -6147152, -7683932?
2*v**2 - 1536798*v + 8
What is the h'th term of 76993, 307958, 692899, 1231816?
76988*h**2 + h + 4
What is the w'th term of -1295679, -1295738, -1295837, -1295976?
-20*w**2 + w - 1295660
What is the v'th term of -102586, -203057, -303528, -403999, -504470, -604941?
-100471*v - 2115
What is the y'th term of 25591, 25627, 25673, 25729, 25795, 25871?
5*y**2 + 21*y + 25565
What is the p'th term of 7699, 31059, 69735, 123517, 192195, 275559, 373399, 485505?
-35*p**3 + 7868*p**2 + p - 135
What is the p'th term of 2914, 5740, 8568, 11398, 14230, 17064?
p**2 + 2823*p + 90
What is the u'th term of 909, 2490, 4081, 5688, 7317, 8974, 10665, 12396?
u**3 - u**2 + 1577*u - 668
What is the r'th term of -38748, -154981, -348724, -619995, -968812, -1395193, -1899156?
-3*r**3 - 38737*r**2 - r - 7
What is the s'th term of -2514147, -2514568, -2514989, -2515410, -2515831?
-421*s - 2513726
What is the j'th term of 12821308, 25642612, 38463916, 51285220?
12821304*j + 4
What is the o'th term of 76104, 151993, 227820, 303555, 379168, 454629?
-5*o**3 - o**2 + 75927*o + 183
What is the u'th term of 4286, 4242, 4178, 4100, 4014, 3926, 3842?
u**3 - 16*u**2 - 3*u + 4304
What is the u'th term of -978, -1986, -3016, -4074, -5166, -6298, -7476?
-u**3 - 5*u**2 - 986*u + 14
What is the o'th term of -7492428, -14984859, -22477290, -29969721, -37462152, -44954583?
-7492431*o + 3
What is the b'th term of -3687474, -3687517, -3687630, -3687849, -3688210?
-6*b**3 + b**2 - 4*b - 3687465
What is the l'th term of -2612592, -2612599, -2612610, -2612625, -2612644?
-2*l**2 - l - 2612589
What is the g'th term of -95294379, -95294377, -95294375?
2*g - 95294381
What is the j'th term of -12534, -12743, -13092, -13581, -14210, -14979, -15888?
-70*j**2 + j - 12465
What is the t'th term of -3634, -14489, -32556, -57835, -90326?
-3606*t**2 - 37*t + 9
What is the s'th term of 82232920, 82232918, 82232916, 82232914?
-2*s + 82232922
What is the z'th term of 22381068, 22381070, 22381072?
2*z + 22381066
What is the q'th term of -25494, -50998, -76500, -102000, -127498, -152994, -178488?
q**2 - 25507*q + 12
What is the a'th term of -570393, -1140783, -1711173, -2281563, -2851953, -3422343?
-570390*a - 3
What is the w'th term of -448309, -448261, -448213, -448165?
48*w - 448357
What is the s'th term of 94053807, 188107615, 282161423, 376215231?
94053808*s - 1
What is the h'th term of -7222, -4124, 1062, 8336, 17698, 29148?
1044*h**2 - 34*h - 8232
What is the b'th term of 74736903, 149473801, 224210687, 298947555, 373684399?
-b**3 + 74736905*b - 1
What is the y'th term of 876513, 1753025, 2629541, 3506061, 4382585?
2*y**2 + 876506*y + 5
What is the x'th term of 4214766, 4214754, 4214740, 4214724, 4214706, 4214686, 4214664?
-x**2 - 9*x + 4214776
What is the a'th term of 364994, 729990, 1094986?
364996*a - 2
What is the q'th term of -97390, -97661, -97932, -98203, -98474?
-271*q - 97119
What is the d'th term of 2271, 2552, 3025, 3690, 4547, 5596?
96*d**2 - 7*d + 2182
What is the o'th term of -5298, -5366, -5426, -5478?
4*o**2 - 80*o - 5222
What is the c'th term of -1324749, -1324734, -1324697, -1324626, -1324509, -1324334, -1324089?
2*c**3 - c**2 + 4*c - 1324754
What is the h'th term of 263, 1048, 2531, 4880, 8263, 12848?
28*h**3 + 181*h**2 + 46*h + 8
What is the y'th term of 631502, 1263169, 1894836?
631667*y - 165
What is the q'th term of 20466, 163802, 552742, 1310088, 2558642, 4421206?
20467*q**3 + 67*q - 68
What is the o'th term of 35137238, 35137240, 35137242, 35137244, 35137246, 35137248?
2*o + 35137236
What is the q'th term of 8173, 32511, 73019, 129697, 202545?
8085*q**2 + 83*q + 5
What is the s'th term of -469485, -471050, -473653, -477288, -481949, -487630, -494325, -502028?
s**3 - 525*s**2 + 3*s - 468964
What is the i'th term of -8435390, -8435392, -8435394, -8435396, -8435398, -8435400?
-2*i - 8435388
What is the v'th term of -91004, -91009, -91012, -91013, -91012, -91009, -91004?
v**2 - 8*v - 90997
What is the i'th term of 31194,
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{
"pile_set_name": "DM Mathematics"
}
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78. Give -35*q(t) + 2*x(t).
24*t - 419
Let t(m) = -1438*m**2 + 3*m + 13. Let x(r) = 480*r**2 - r - 4. What is -2*t(b) - 7*x(b)?
-484*b**2 + b + 2
Let s(c) = -10*c + 2011. Let q(x) = -24*x + 4025. Give -2*q(v) + 5*s(v).
-2*v + 2005
Let t(h) = h**3 - 3*h**2 - 3*h. Let b(o) be the third derivative of 1 + 1/60*o**5 - 19*o**2 - 1/120*o**6 + 0*o**3 + 0*o + 1/24*o**4. Give -6*b(j) - 2*t(j).
4*j**3
Let s(g) = 5*g**2 - 33*g + 291. Let j(p) = -7*p**2 + 44*p - 291. Give -3*j(z) - 4*s(z).
z**2 - 291
Let u(o) be the third derivative of o**5/60 + o**3/6 - o**2. Let a(p) = -4*p**2 - 3. Let z = 38920 + -38917. Determine z*u(k) + a(k).
-k**2
Let w(v) = v**3 - 5*v**2 + 97*v - 373. Let n be w(4). Let p(s) = 1. Let k(x) be the first derivative of -3*x**4/4 - 6*x - 2. What is n*k(a) - 6*p(a)?
3*a**3
Let v(x) = 20*x - 144. Let q(c) = 7*c - 73. Calculate 9*q(s) - 4*v(s).
-17*s - 81
Let f(w) be the first derivative of -w**3/3 + w + 9831. Let q(h) = 9*h**2 + 3*h + 2. What is -4*f(m) + q(m)?
13*m**2 + 3*m - 2
Let v(n) = -10*n**2 + 6*n - 6. Let c(p) = 139*p**2 - 65*p + 87. Let a(w) = -w**2 + 20*w + 2. Let k(r) = -a(r) + c(r). Determine -6*k(b) - 85*v(b).
10*b**2
Let l(g) = g**3 - 3*g**2 - 96*g + 2. Let o(j) = 2*j**3 - 7*j**2 - 211*j + 4. Give 7*l(v) - 3*o(v).
v**3 - 39*v + 2
Let n(g) be the third derivative of -g**5/12 + g**4/6 + g**3/6 + g**2 - 7*g + 16. Let a(r) = -19*r**2 + 15*r + 4. What is 6*a(i) - 22*n(i)?
-4*i**2 + 2*i + 2
Let h(m) = -7*m**2 - 10*m - 1. Let r(o) = -15*o**2 - 16*o - 3. Determine 5*h(j) - 3*r(j).
10*j**2 - 2*j + 4
Let f(i) = 7*i**3 + i**2 + 2*i - 39. Let z(w) = 6*w**3 + 3*w**2 + w - 35. What is 5*f(t) - 6*z(t)?
-t**3 - 13*t**2 + 4*t + 15
Let h(u) = -5. Suppose -506*m = -379*m - 889. Let r(i) = -i + 9. Calculate m*h(p) + 4*r(p).
-4*p + 1
Let l(t) = 8*t + 1405. Let q(a) = -7*a - 1433. Calculate -3*l(h) - 4*q(h).
4*h + 1517
Let z be (-2)/4 - (-570)/(-76) - -5 - -2. Let u(b) = -31. Let t(a) = a**3 - 1. Determine z*u(d) + 31*t(d).
31*d**3
Let x(s) = -s**3 + s**2 + 1. Suppose -102*y = -107*y + 155. Let u(o) = 5*o**2 + 13*o + 3 - y*o - 4*o**3 + 7*o + 9*o. Calculate -u(f) + 5*x(f).
-f**3 + 2*f + 2
Let p(q) = -28*q + 6. Let l(i) be the first derivative of -561*i**2/2 + 121*i + 2373. What is -6*l(b) + 121*p(b)?
-22*b
Let v(g) = 58*g**2 - 12*g - 20. Let f(u) = -36*u**2 + 8*u + 13. What is -8*f(q) - 5*v(q)?
-2*q**2 - 4*q - 4
Let l(x) = -3*x - 1. Let c(a) = a**2 + 16*a - 8. Let q be c(-17). Suppose -60 = 4*s - 140. Let v(i) = 7*i + i + 0 - s*i - 4. Determine q*l(g) - 2*v(g).
-3*g - 1
Let h(n) = n + 9*n + 30*n. Let m(l) = -8*l. Suppose b = 3*i - 6 + 10, 16*b = -4*i - 40. Determine i*h(g) - 11*m(g).
8*g
Let w(h) = 5*h**2 - 4*h - 230. Let z(s) = 17*s**2 - 14*s - 686. Determine 21*w(v) - 6*z(v).
3*v**2 - 714
Let f(m) = -m**2 - m - 1. Let h(j) = 3604*j + 3604. Give -10812*f(d) - 3*h(d).
10812*d**2
Let x(w) = -935*w**2 - 22*w + 2. Let a(r) = -5609*r**2 - 143*r + 13. Determine -2*a(i) + 13*x(i).
-937*i**2
Let w(p) = p - 3. Suppose 7*b - 5*d + 39 = 4*b, -b - 4*d + 4 = 0. Let o(u) = 23*u - 15 - 15*u + 8 + 12 - 10*u. Give b*w(n) - 5*o(n).
2*n - 1
Let v(x) = 4*x**3 + 4*x**2 + x - 3. Let z(c) = c**3 - c - 3. Give -v(r) + z(r).
-3*r**3 - 4*r**2 - 2*r
Let t(q) = -23*q**2 - 2*q - 2. Let o(y) = -69*y**2 - 7*y - 7. Suppose 2*h = -10, 5*v - 56*h = -60*h - 55. Calculate v*t(w) + 2*o(w).
23*w**2
Suppose 3*t + 108*g + 2 = 107*g, -4 = -4*g. Let i(n) = n**3 + n. Let j(m) be the first derivative of 4*m**3/3 - m**2 - m + 1. Give t*j(c) - 2*i(c).
-2*c**3 - 4*c**2 + 1
Let f = -3536 - -3530. Let o(m) = -6*m**2 + 26*m + 7. Let x(w) = 7*w**2 - 27*w - 8. Determine f*o(q) - 5*x(q).
q**2 - 21*q - 2
Let t(i) = -43*i - 4. Let f(u) = -2*u - 2. What is 4*f(n) + t(n)?
-51*n - 12
Let t = -851 + 851. Let b(c) = t*c + 8*c - 12*c - 18 - 6*c. Let k(z) = 7*z + 12. What is 5*b(q) + 7*k(q)?
-q - 6
Let h(m) = -2*m**2 - 87*m - 344. Let s be h(-39). Let b(x) = 29*x**3 + 6*x. Let g(d) = -30*d**3 - 7*d. Give s*b(c) + 6*g(c).
23*c**3
Let r(c) = -4. Let w(p) = 438*p + 17. Calculate -4*r(x) - w(x).
-438*x - 1
Let z(k) = 6825*k - 149. Let q(t) = 6821*t - 179. Calculate 5*q(v) - 6*z(v).
-6845*v - 1
Let u(m) = 20*m**3 + 17*m**2 - 2*m - 8. Let q(s) = 22*s**3 + 19*s**2 - 2*s - 9. Give 3*q(y) - 4*u(y).
-14*y**3 - 11*y**2 + 2*y + 5
Let k(c) = c**2 + 472*c - 3. Let r(j) = -3*j**2 - 1417*j + 9. Give -17*k(n) - 6*r(n).
n**2 + 478*n - 3
Let h(q) = -2*q - 1. Let k be -1 + (-18)/(-15) + 48/10. Let p(b) = -b. Calculate k*p(a) - h(a).
-3*a + 1
Let f(g) = 8*g + 5. Let z(i) = -i. Let m be 11/(-22) + 45/10. Suppose 0 = -d - 2, 4*d + 0*d = -m*y - 12. Give y*f(a) - 6*z(a).
-2*a - 5
Let j(t) = 5*t + 7. Let a be (6 + 0)*17/(-187)*66/(-12). Let r(m) = 4*m + 8. Calculate a*j(h) - 4*r(h).
-h - 11
Let i = 5905 + -5899. Let c(a) = -35*a - 13. Let v(n) = -18*n - 6. What is i*c(l) - 13*v(l)?
24*l
Let j(i) = -2*i + 5. Let p(w) = 3*w - 9. Let f = -5762 + 5764. Let o = 3 + 2. Suppose 0 = 2*d + o*u - 33, 2*d - f*u - 13 = -3*u. Calculate d*p(a) + 7*j(a).
-2*a - 1
Let p(z) = -3*z - 4. Let c(q) = 13*q + 17. Let b be (20/6)/((-78)/36 + 2). Let x be b/(-5 + (-34)/(-6)). Let h = -21 - x. Give h*p(w) + 2*c(w).
-w - 2
Let s(w) = 5*w - 982. Let f(v) = 7*v - 983. What is 2*f(g) - 3*s(g)?
-g + 980
Let p(d) = -1574*d**2 + 3*d + 28. Let m(a) = -3150*a**2 + 5*a + 47. Determine 3*m(b) - 5*p(b).
-1580*b**2 + 1
Let s(v) = 7*v + 381. Let a(b) = -7*b - 379. Give -5*a(p) - 6*s(p).
-7*p - 391
Let m(k) = -7*k - 138. Let u(o) = -o - 142. Give -4*m(z) + 3*u(z).
25*z + 126
Let a(x) = 7*x**3 - 143*x - 4. Let n(m) = -6*m**3 + 153*m + 5. Give -5*a(r) - 4*n(r).
-11*r**3 + 103*r
Let x(o) = -31*o + 3. Let g(f) = -22 - 13*f - 32*f - 29*f + 27 + 12*f. Give -3*g(v) + 5*x(v).
31*v
Let g(q) = 5*q - 83. Let t be g(16). Let z(y) = y**2 + 2*y + 1. Let h(b) = -9. Let k(x) = 25. Let r(c) = 11*h(c) + 4*k(c). Calculate t*r(u) + z(u).
u**2 + 2*u - 2
Let f be (-5 + -1)/((-3)/3). Let c be 1*4 + 432/f. Suppose c*a - 20 = 81*a. Let v(o) = -o + 1. Let b(l) = 3*l - 6. Calculate a*v(p) - b(p).
p + 2
Let l(k) = -k**3 - k**2 - 389*k - 1. Let w(s) = -2*s**3 - 2*s**2 - 583*s - 2. Calculate -8*l(h) + 5*w(h).
-2*h**3 - 2*h**2 + 197*h - 2
Let u(v) = -575*v**3 - 69*v**2 + 69. Let o(g) = -41*g**3 - 5*g**2 + 5. Suppose -3421 - 999 = 74*b + 686. Determine b*o(y) + 5*u(y).
-46*y**3
Let x(o) = -217*o**2 + 5 - o + 432*o**2 - 213*o**2. Suppose -4 = 7*k - 9*k. Suppose -3*t = -k*t - 6. Let v(n) = -1. Give t*v(b) + x(b).
2*b**2 - b - 1
Let c(d) = -19*d**3 - 46*d**2 - 7*d - 8. Let b(q) = -58*q**3 - 134*q**2 - 20*q - 22. What is -4*b(x) + 11*c(x)?
23*x**3 + 30*x**2 + 3*x
Let f(u) = 72 + 23*u - 129 - 20*u + 62 + 4*u**3. Let c(q) = -9*q**3 - q**2 - 7*q - 11. Give -3*c(d) - 7*f(d).
-d**3 + 3*d**2 - 2
Let h(o) = 8*o**3 + 40*o**2 + 40*o + 40. Let c(r) = -r**2 - r - 1. Let k(m) = 3*m**2 + 43*m - 262. Let a be k(-19). Calculate a*h(z) + 160*c(z).
32*z**3
Let h(m) = 42*m**3 - 6*m**2 - 31*m + 1. Let l(y) = -44*y**3 + 7*y**2 + 32*y - 1. Determine -7*h(g) - 6*l(g).
-30*g**3 + 25*g - 1
Let c(q) = 281*q + 25. Let w(u) = 281*u + 37. What is 3*c(p) - 2*w(p)?
281*p + 1
Let k(v) = 3969*v**3 - 33*v - 114. Let a(q) = 248*q**3 - 2*q - 7. Give -33*a(i) + 2*k(i).
-246*i**3 + 3
Let v(r) = 11*r**2 - 25. Let n(a) = 5*a**2 - 12. Let m(d) = 16*d**3 + d**2. Let y be m(-1). Let f be 5/(-25) + 29/y*3. Calculate f*v(c) + 13*n(c).
-c**2 - 6
Let n(b) = 61*b + 556. Let m be n(-36). Let d = m - -1642. Let z(w) = 5*w - 1 + 1. Let y(a) = -66*a. Give d*y(k) + 27*z(k).
3*k
Let p(v) = -138*v + 203. Let g(a) = 103*a - 204. Calculate 4*g(i) + 3*p(i).
-2*i - 207
Let f(j) be the first derivative of -j**4/24 + 39*j**2 + 58. Let w(t) be the second derivative of f(t). Let g(z) = -z**2 - 4*z - 1. Give -g(d) + 6*w(d).
d**2 - 2*d + 1
Suppose 927*y - 959*y + 29 - 157 = 0. Let q(r) = 1 + 0 - 2*r**2 + 1 - r**3 + 2*r. Let t(b) = -2*b**3 - 5*b**2 + 5*b + 5. Calculate y*t(o) + 10*q(o).
-2*o**3
Let h(x) be the second derivative of x**2 - 1217*x. Let a(m) = m + 5. Determine -2*a(g) + 5*h(g).
-2*g
Let f(k) be the first derivative of k**4/4 - 3*k**2/2 - 3*k + 22. Let a(d) = -2*d**3 + 7*d + 7. Suppose 34 = -2*g + 5*i, -2*i = -5*i + 12. Give g*f(h) - 3*a(h).
-h**3
Let u(t) = -35 + 86*t**2 - 2267609*t + 75*t**2 + 2267644*t. Let v(k) = -18*k**2 - 4*k + 4. What is -4*u(o) -
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{
"pile_set_name": "DM Mathematics"
}
|
n increasing order.
2, 5, 16965
Sort 0.448, 0.4, -0.1, 5/3, 1/3, -4 in descending order.
5/3, 0.448, 0.4, 1/3, -0.1, -4
Sort -46.9, -1, -0.02, -2, -2/5, -4 in ascending order.
-46.9, -4, -2, -1, -2/5, -0.02
Put 0.5, -10.9, 2, 39 in descending order.
39, 2, 0.5, -10.9
Sort -12, -65, -5, 1, -0.05.
-65, -12, -5, -0.05, 1
Sort -6, 2, -45, -0.4, 0.5 in ascending order.
-45, -6, -0.4, 0.5, 2
Sort -5, 2675, 2, -21 in ascending order.
-21, -5, 2, 2675
Put -1, -103, -66, -2, 8, 4 in decreasing order.
8, 4, -1, -2, -66, -103
Put -33, 2, -9, 14, -3/4 in descending order.
14, 2, -3/4, -9, -33
Sort 0.37, 1/6, -2, -1, 7, -0.2 in increasing order.
-2, -1, -0.2, 1/6, 0.37, 7
Sort -0.04, -23, -4, -11, -1, 3/5 in decreasing order.
3/5, -0.04, -1, -4, -11, -23
Sort 1, -4, 2931 in decreasing order.
2931, 1, -4
Sort -4, -8724, 5 in decreasing order.
5, -4, -8724
Sort -3, -5, 1/2571 in increasing order.
-5, -3, 1/2571
Sort -7, 5/4, -117, 2/15, 1 in increasing order.
-117, -7, 2/15, 1, 5/4
Sort -1, 7.3, 1/5, -0.07.
-1, -0.07, 1/5, 7.3
Sort 0.2, -0.0113, -77/3.
-77/3, -0.0113, 0.2
Sort -3, -115, -2, 1/5 in descending order.
1/5, -2, -3, -115
Put -31, -3, -76, 5 in increasing order.
-76, -31, -3, 5
Sort 30, -13, 2, 11, 5 in increasing order.
-13, 2, 5, 11, 30
Sort 23, -4231, -4 in ascending order.
-4231, -4, 23
Put 1, 1.38, -10 in decreasing order.
1.38, 1, -10
Sort 17198, -1, -5.
-5, -1, 17198
Sort 0.4, -0.034, -24, -0.5 in descending order.
0.4, -0.034, -0.5, -24
Sort -50, 0.3, -0.4, -1.3.
-50, -1.3, -0.4, 0.3
Put -0.3, 2/5, 3, 1, -3020, -0.5 in decreasing order.
3, 1, 2/5, -0.3, -0.5, -3020
Put -1, 5067, -3, -4, 1, 10 in descending order.
5067, 10, 1, -1, -3, -4
Sort 1, -31614/17, 1/3 in increasing order.
-31614/17, 1/3, 1
Put 2/41, -3, -188/57 in decreasing order.
2/41, -3, -188/57
Put 2/9, 0.1, 7, 0, -82 in descending order.
7, 2/9, 0.1, 0, -82
Put 0.015, -41, -2, -5, 2/7, 1 in descending order.
1, 2/7, 0.015, -2, -5, -41
Put 7, -2, 0.992, 0.5, -1 in decreasing order.
7, 0.992, 0.5, -1, -2
Sort -3, 4, 1, 2/13, 0.281 in descending order.
4, 1, 0.281, 2/13, -3
Sort 3, -2, -0.031, -0.3, -0.06.
-2, -0.3, -0.06, -0.031, 3
Put 0, 31/14, -6/5, 2/19 in descending order.
31/14, 2/19, 0, -6/5
Sort 5, 239, 7, -3, 1, 3 in decreasing order.
239, 7, 5, 3, 1, -3
Put 10461, -4, 6 in descending order.
10461, 6, -4
Sort 8, 22, 28, 0, 5 in descending order.
28, 22, 8, 5, 0
Sort 1, -1/2, -182, 0.3, -1/4 in descending order.
1, 0.3, -1/4, -1/2, -182
Sort 4, -398, -8, -1, -2 in decreasing order.
4, -1, -2, -8, -398
Sort 1, 2, 331, -61, -5 in decreasing order.
331, 2, 1, -5, -61
Sort -55, -3, 4, -7, 2 in descending order.
4, 2, -3, -7, -55
Sort -6, 0.05, 2, -47, 3, 1/4 in descending order.
3, 2, 1/4, 0.05, -6, -47
Put 0, -87/4, -0.5, 3, -0.026 in descending order.
3, 0, -0.026, -0.5, -87/4
Sort -14, 1, 6, -5, 21, -2.
-14, -5, -2, 1, 6, 21
Put -3, 3, -80.69, 4, 0 in increasing order.
-80.69, -3, 0, 3, 4
Sort 2, 0.1524, -3 in increasing order.
-3, 0.1524, 2
Put -4/7, 0.4, 161344.6 in descending order.
161344.6, 0.4, -4/7
Put -14, -4, 9, -5, 11 in decreasing order.
11, 9, -4, -5, -14
Put 2, -21, -123 in increasing order.
-123, -21, 2
Put 34, -129, -1 in decreasing order.
34, -1, -129
Sort 4/3, -1/8, 1, -13, 3 in increasing order.
-13, -1/8, 1, 4/3, 3
Sort -7.96, 3, 1, 0.5 in descending order.
3, 1, 0.5, -7.96
Sort -225496, -5, -3/2, 3/5.
-225496, -5, -3/2, 3/5
Put -44, 3, -3, 0, 200 in increasing order.
-44, -3, 0, 3, 200
Put 308, 5, 1, 147, -5, 0 in decreasing order.
308, 147, 5, 1, 0, -5
Sort 414, 1, -2, 0.07.
-2, 0.07, 1, 414
Sort -59, 55, 12, -2.
-59, -2, 12, 55
Sort -2, 3, 125, 10 in ascending order.
-2, 3, 10, 125
Sort -10, 1/9, -2, -3, 3/5, -0.64.
-10, -3, -2, -0.64, 1/9, 3/5
Sort -10, 17, 4, 94.
-10, 4, 17, 94
Sort -14, 12, -1, 6 in ascending order.
-14, -1, 6, 12
Put -4, 1, 21729, 3 in descending order.
21729, 3, 1, -4
Sort 5, 77, -0.2, 15, -2/9, 1.2 in decreasing order.
77, 15, 5, 1.2, -0.2, -2/9
Put 7, 1887, -1 in decreasing order.
1887, 7, -1
Sort 33, 495, 2.
2, 33, 495
Sort 0, 254, 37 in decreasing order.
254, 37, 0
Sort -15, -107/135, -4 in descending order.
-107/135, -4, -15
Put 3, 6/13, 0.062, 2/13 in increasing order.
0.062, 2/13, 6/13, 3
Sort -4, -33, 5, 3, -3, 10.
-33, -4, -3, 3, 5, 10
Put -27, -8, 76, -1, -3 in descending order.
76, -1, -3, -8, -27
Sort -6/491, -0.5, -4.9 in descending order.
-6/491, -0.5, -4.9
Put 754, -4, 6, -19 in descending order.
754, 6, -4, -19
Sort -7, 1, 55, 13 in descending order.
55, 13, 1, -7
Put -5, 12, 0, 3, 1, -88 in increasing order.
-88, -5, 0, 1, 3, 12
Sort 2, -4, 5, 1, 115, -3.
-4, -3, 1, 2, 5, 115
Sort -13, -3, -2095.
-2095, -13, -3
Put 4, 5, -37, 2, -26, 0 in increasing order.
-37, -26, 0, 2, 4, 5
Put 1/2, 0.04, -185, 11, -2 in decreasing order.
11, 1/2, 0.04, -2, -185
Sort -426, -0.28, 0.8, -3 in descending order.
0.8, -0.28, -3, -426
Put -4, 1, 20, 2, -3 in decreasing order.
20, 2, 1, -3, -4
Put 2, 0.9, 1/9, 1.181 in decreasing order.
2, 1.181, 0.9, 1/9
Sort 2/7, -0.1, 2/13, 4, -1, 19 in increasing order.
-1, -0.1, 2/13, 2/7, 4, 19
Put -5, -6, -2.4, -4, -0.04 in increasing order.
-6, -5, -4, -2.4, -0.04
Sort 23.8, 136, -2.
-2, 23.8, 136
Sort -30, 0.5, -0.1, 1.6 in descending order.
1.6, 0.5, -0.1, -30
Sort 39, -4, -8, 1.
-8, -4, 1, 39
Sort -636, -5, 0.
-636, -5, 0
Sort 0.1, -34, 0.2, -0.0585 in descending order.
0.2, 0.1, -0.0585, -34
Sort -19, -1081, 2, -1.
-1081, -19, -1, 2
Sort 0.07, -7, 31.1, 1/4.
-7, 0.07, 1/4, 31.1
Put -221, 5, 108 in descending order.
108, 5, -221
Sort 4, 17401, -71.
-71, 4, 17401
Sort 0, -231, 28, 5, -4 in decreasing order.
28, 5, 0, -4, -231
Sort 35, -5, 163 in increasing order.
-5, 35, 163
Put 0, 4, 35, -1, -66 in descending order.
35, 4, 0, -1, -66
Sort 19, 6, -2, 0, -11 in descending order.
19, 6, 0, -2, -11
Sort 5, 4, 1431, -20 in descending order.
1431, 5, 4, -20
Sort -1, -28, 6, -4, -3, -36 in increasing order.
-36, -28, -4, -3, -1, 6
Put 1/8, -2/19, 39/2, -6 in ascending order.
-6, -2/19, 1/8, 39/2
Sort 0.018656, 42, -1, 4.
-1, 0.018656, 4, 42
Put 3/7, 1, 5, 44/5, -13.5, 1/5 in descending order.
44/5, 5, 1, 3/7, 1/5, -13.5
Sort 4, -1669, 125 in increasing order.
-1669, 4, 125
Put -187, -3, 47, -1, -4 in descending order.
47, -1, -3, -4, -187
Put 32, -4, 1, -3, 6, 3 in ascending order.
-4, -3, 1, 3, 6, 32
Put -9, -3, 2, -57, -6 in decreasing order.
2, -3, -6, -9, -57
Put -100, 4, 3, -4, -1 in decreasing order.
4, 3, -1, -4, -100
Put -10, -20, -1, -6 in descending order.
-1, -6, -10, -20
Sort 1/114, 2, 2/3, -0.5, -5 in ascending order.
-5, -0.5, 1/114, 2/3, 2
Put 4, 158, -5, -64, -10 in decreasing order.
158, 4, -5, -10, -64
Put 5, -2, 0, -3, 1994 in descending order.
1994, 5, 0, -2, -3
Sort 11, 5, 4, 29 in descending order.
29, 11, 5, 4
Sort -907810, 3, -2, -5.
-907810, -5, -2, 3
Sort 3, -6, -3910, -5 in increasing order.
-3910, -6, -5, 3
Put 0.3, 2, 1, -10 in ascending order.
-10, 0.3, 1, 2
Sort -293, -2, -1, 1, 3 in increasing order.
-293, -2, -1, 1, 3
Sort -36, 233, -1, -2 in decreasing order.
233, -1, -2, -36
Sort -4, 3, 23, -6, 11.
-6, -4, 3, 11, 23
Sort 4, 3, 5, -1, 64 in descending order.
64, 5, 4, 3, -1
Sort -0.3, 4, -24.5, -1, 0.3, 0.4 in increasing order.
-24.5, -1, -0.3, 0.3, 0.4, 4
Sort 30027, -2, 87 in descending order.
30027, 87, -2
Sort 4, -7, 34, -45.
-45, -7, 4, 34
Sort -4, 4, -32, 0, 5.
-32, -4, 0, 4, 5
Sort -4, -1.2, 0.014, 0, 0.3, -4/9 in decreasing order.
0.3, 0.014, 0, -4/9, -1.2, -4
Put -198, -2, 3, -42 in decreasing order.
3, -2, -42, -198
Put 298, -2/143, 1/5, -2, 2/3 in descending order.
298, 2/3, 1/5, -2/143, -2
Sort 5, 12, -4, 535 in descending order.
535, 12, 5, -4
Sort 1, 11, -14, -1, 6, 3 in descending order.
11, 6, 3, 1, -1, -14
Sort 1, -9, -433, 3, -4 in decreasing order.
3, 1, -4, -9, -433
Put 8, -41.18, -2/29 in decreasing order.
8, -2/29, -41.18
Sort -11, -2, 216, -54 in increasing order.
-54, -11, -2, 216
Sort 4, 76, -2, 28 in increasing order.
-2, 4, 28, 76
Put -814.9, -3, 9/2, -2/5 in descending order.
9/2, -2/5, -3, -814.9
Sort 4, 2, 173870.
2, 4, 173870
Put 21, -4381, 3 in ascending order.
-4381, 3, 21
Put -1272, 1/5, 39 in decreasing order.
39, 1/5, -1272
Sort -4, -32, 2197, 5, -3 in descending order.
2197, 5, -3, -4, -32
Sort -3685, -2, -5, 2.
-3685, -
|
{
"pile_set_name": "DM Mathematics"
}
|
4
What is -8 minus 0.0043?
-8.0043
Total of 7 and 0.15.
7.15
Calculate -0.1 - 21509.
-21509.1
What is -45 take away -2738?
2693
What is -15741.9 - 0.1?
-15742
What is -880 less than -4153?
-3273
What is 26 - -43?
69
Add together 119 and 250.
369
What is 0.05 plus 0.6127?
0.6627
What is the distance between -0.9 and -426?
425.1
Put together -5.4 and 30.
24.6
Calculate -5529 + 8.
-5521
Calculate 0.06 + 185.
185.06
Sum 0.5 and 0.20239.
0.70239
What is -4 - -21.08?
17.08
Add together -3.8402 and 15.
11.1598
What is -1175.3 - 4?
-1179.3
Put together 5 and 122.7.
127.7
What is -67 - -0.039?
-66.961
-2.8+-0.251
-3.051
Add together 11 and -1.41.
9.59
Add -1 and 226.5.
225.5
What is 0.4 - -1045?
1045.4
What is -12.45 less than -13.01?
-0.56
What is the difference between -30.58 and -232?
201.42
Sum 0.5 and 711.56.
712.06
Subtract 0.05 from 2.7.
2.65
Add 0.2 and 391.33.
391.53
What is -0.02 - -0.0177?
-0.0023
Total of 2.75 and -0.0943.
2.6557
What is 41 minus 20069?
-20028
What is 0.15 minus -263?
263.15
What is the distance between 9410 and 4?
9406
Sum -5706 and -2.9.
-5708.9
Work out 3237 + -12.
3225
44+0.53
44.53
Work out 20 - -6582.
6602
-625536 + -6
-625542
What is 5 minus -1.128?
6.128
What is the difference between -0.38 and -269?
268.62
Add -337 and 5851.
5514
Subtract 115.21 from 5.
-110.21
Add together -4.7 and -1839.
-1843.7
32 - -3582.6
3614.6
What is the difference between 582.97 and -0.2?
583.17
0 + -79
-79
1283 - 13
1270
Add -15514 and -0.3.
-15514.3
Calculate -1046 + -112.
-1158
What is -4 take away 7813.7?
-7817.7
Total of -0.31 and 214.8.
214.49
Work out 5 + -319.
-314
Add together -14 and -138.
-152
Add -0.198 and -37.
-37.198
Work out 3.09 + 5.
8.09
Calculate -988 + 0.3.
-987.7
5 - -744
749
What is 0.2 take away 5.28?
-5.08
Subtract 76178 from 3.
-76175
2 + 15482
15484
What is the distance between 239.27179 and 4?
235.27179
What is 62 minus 1?
61
What is the difference between 0.24 and 0.2682?
0.0282
Calculate -0.066481 - 0.
-0.066481
-10 - -0.191
-9.809
Sum 43.4546 and -0.3.
43.1546
Work out -0.2353 + -4.
-4.2353
What is 1 + -772?
-771
What is -0.2 plus 4.78999?
4.58999
Calculate -569 - 92.
-661
Calculate -627 - 0.7.
-627.7
What is 959886 take away -9?
959895
Add -98703 and -5.
-98708
Work out -116 - 0.1077.
-116.1077
What is -4 plus 6.016?
2.016
Sum -18819 and -5.
-18824
Add -126.4 and 0.2.
-126.2
Calculate -3 - 24675.
-24678
What is 2 minus -35.5?
37.5
-0.5424 - -0.2
-0.3424
Calculate 1 + -1480986.
-1480985
Calculate 196.4 + -126.
70.4
24+343.01
367.01
Add 0.0104 and -1.2.
-1.1896
Sum 4.23 and 0.103.
4.333
-952492 - 0.1
-952492.1
What is -1.1 minus 23?
-24.1
-0.82843 - 1
-1.82843
What is 1054 - -0.2?
1054.2
Subtract -0.2502 from 7.
7.2502
What is 215 plus -0.00352?
214.99648
What is 3 less than 35565.8?
35562.8
What is -0.04 minus 9?
-9.04
What is -167.19 take away 0.006?
-167.196
Work out 2.39 + 5.
7.39
What is 18829 less than 46?
-18783
Total of -0.53718 and -0.06.
-0.59718
Sum -0.6 and -0.5.
-1.1
What is 20 plus 4006.3?
4026.3
What is -0.3 + -0.2169?
-0.5169
What is 2.86 - 1923?
-1920.14
Sum -10 and -2.545.
-12.545
Work out 0.16 - 943.4.
-943.24
Add together -34 and 7.
-27
Work out 0.066 - 1665.
-1664.934
Subtract -0.03 from -458205.
-458204.97
What is -32069 less than -0.4?
32068.6
Subtract -0.2 from 25715.4.
25715.6
What is 0.148 - -6?
6.148
Calculate -14.68 - -5.
-9.68
What is the difference between -426 and 7412?
7838
Add -320 and -0.138.
-320.138
Total of -9241 and 5.
-9236
What is 2 minus 16.771?
-14.771
Add together 0.3 and 25.2.
25.5
What is the difference between -283 and 9028?
9311
Add together -5331 and -0.12.
-5331.12
Add 0.5 and -773.
-772.5
Sum 231 and -1.68.
229.32
Put together -1.7115 and 0.7.
-1.0115
What is 0.028349 less than -5?
-5.028349
What is -0.065 less than 86329?
86329.065
What is -7 + -28?
-35
What is -3546 minus 11?
-3557
-17476 + -50
-17526
2 + 2521.66
2523.66
Add 52 and 12351.
12403
Work out 384.879 - 2.
382.879
-1015.5 + 0.4
-1015.1
-10846+1
-10845
What is 0.17 plus 0.04838?
0.21838
Work out 0.3 - -1476.67.
1476.97
Put together 73786 and -0.02.
73785.98
Put together -190.9 and 52.
-138.9
Total of 2.14 and -0.747.
1.393
Add 989 and 14.
1003
What is the distance between 0.1 and 6.007?
5.907
Total of 1.1 and -0.06421.
1.03579
What is -0.05 less than 82289?
82289.05
Total of -4555 and -6.
-4561
Total of 4 and 100.079.
104.079
What is 5138 plus 1.1?
5139.1
Total of -3 and 2593.
2590
Subtract 0.475 from -1.
-1.475
-856183 - 1
-856184
What is the distance between 0.01 and 84.256?
84.246
-0.1 + 5406
5405.9
What is 6.3 less than -1080?
-1086.3
What is -5669.3 plus -10?
-5679.3
What is 37.5 + 3?
40.5
What is -0.9 minus 2113?
-2113.9
Work out -2584 - -3.4.
-2580.6
Put together -10427 and -0.782.
-10427.782
What is the distance between 226249 and -0.5?
226249.5
-2.2 + -15.6
-17.8
-0.139 + -1.9
-2.039
What is 17 - -2096?
2113
What is the distance between -0.0999 and -0.26?
0.1601
Add together 443 and 493.3.
936.3
0.1844333 + -3
-2.8155667
What is the difference between -0.6 and 1.248?
1.848
Total of -0.2 and -3.555.
-3.755
Work out -0.2 + -375.
-375.2
-0.3 - 1048
-1048.3
What is 2905.19 + -4?
2901.19
Work out -5 - 67.9.
-72.9
What is 5.56 - -0.1?
5.66
What is -0.03 take away -1.1008?
1.0708
What is 33.053 + -2?
31.053
Total of 0.4 and 8.574.
8.974
What is the distance between 4 and -96661?
96665
Work out -977 + -1.
-978
What is 17.7 - -991?
1008.7
Sum 0.7483 and -0.3.
0.4483
Calculate -0.106587 + 0.5.
0.393413
Put together -0.43612 and 3.
2.56388
4.9 - -0.74221
5.64221
-158 + 3057
2899
Sum 0.5 and 0.117216.
0.617216
Add 343146 and 1.
343147
What is -389548 minus -1?
-389547
0.2+942
942.2
What is -130 plus -176.61?
-306.61
Work out -1.478 - -24.
22.522
Add -19 and -11.8211.
-30.8211
Calculate -57 + 389.
332
What is the distance between 1471 and 0.1138?
1470.8862
What is -297.59 take away -0.4?
-297.19
What is -103 minus -0.9?
-102.1
Calculate 0.75 - -0.0631.
0.8131
What is -1.2659 + -1.087?
-2.3529
What is 40 - 47?
-7
What is -0.6 - 3.7667?
-4.3667
Add -0.4 and -1260.
-1260.4
What is -1.072 plus -0.2848?
-1.3568
Add 14 and 710.3.
724.3
13782 + 0.5
13782.5
150879 - 1
150878
Total of 0.768 and 4.
4.768
Calculate -2767994 + -3.
-2767997
What is the distance between -0.2 and -2755?
2754.8
Calculate 17.6 - -10.
27.6
What is -8803 take away -3.5?
-8799.5
What is -19.7 plus -0.662?
-20.362
Sum -2 and 0.1173.
-1.8827
What is -4 take away 680?
-684
Subtract -0.3 from 240.016.
240.316
What is the difference between 5789 and 0.1?
5788.9
What is -5 take away -21.89?
16.89
What is 1320 plus 2?
1322
What is the difference between -0.089 and 13.49?
13.579
Add -0.3 and 1673.33.
1673.03
Total of 0.18 and -620.
-619.82
What is -0.86 + -32?
-32.86
Subtract -4 from 234412.
234416
1.138 + 48
49.138
What is -44.4 take away -8?
-36.4
Add together 0.46 and -4.
-3.54
Calculate -3207.11 - -5.
-3202.11
What is the difference between 314.661 and 10?
304.661
Add -37 and -57.974.
-94.974
Put together -0.14 and 74.588.
74.448
What is 4 minus 65.9?
-61.9
What is the difference between 24.7 and -17?
41.7
Subtract 241.8 from -3.5.
-245.3
Calculate 228907 - 11.
228896
What is the distance between 0.180846 and -0.5?
0.680846
Add -0.0431 and 0.01.
-0.0331
2+-0.245
1.755
Work out -0.066 - 352.57.
-352.636
What is 0.3 plus 465147?
465147.3
Calculate -3 - -362.
359
What is 377.8 minus -17.5?
395.3
What is -14.8 less than -24?
-9.2
What is 13675 minus -0.083?
13675.083
Work out -9 + 0.014.
-8.986
What is -0.5 minus 26.357?
-26.857
Work out 0.015 + 29.3.
29.315
-7+-12.22
-19.22
What is -0.15 plus -2.62?
-2.77
Add together 0.13 and -3882.
-3881.87
Total of 9 and 24.4.
33.4
What is -2054 take away -238?
-1816
Sum -0.014 and -4.3.
-4.314
0.77 + -2.6
-1.83
Calculate -3 + -228962.
-228965
Add together 5 and -0.3052578.
4.6947422
What is 73752 less than 2?
-73750
Calculate 1.5331 + 3.
4.5331
-0.31+18464
18463.69
Sum -80853 and -5.
-80858
Calculate -0.358 + 4349.
4348.642
What is -152 take away 1.5?
-153.5
What is 2609 less than -0.05?
-2609.05
What is the difference between 0.03 and 161?
160.97
Subtract -1 from -522.45.
-521.45
Sum 0.4 and 959.
959.4
What is 36.95 take away 2?
34.95
Add together -0.5 and 183.7.
183.2
What is 0.2 less than -10802413?
-10
|
{
"pile_set_name": "DM Mathematics"
}
|
h(r) = 5*r**3 - 4*r**2 - 4*r - 4. What is g*b(s) + 7*h(s)?
-s**3 + 4*s**2
Let l(t) = 2*t**3 + 4*t + 3. Let x(c) be the third derivative of c**6/30 + c**4/3 + 7*c**3/6 + 26*c**2. Give 7*l(u) - 3*x(u).
2*u**3 + 4*u
Let m(t) = 17200*t**3 + 500*t**2 + 500*t - 500. Let p(b) = -103*b**3 - 3*b**2 - 3*b + 3. Determine 3*m(r) + 500*p(r).
100*r**3
Let o(k) = 10*k**3 - 11*k**2 + 2*k - 6. Let v(l) = 20*l**3 - 24*l**2 + 4*l - 13. What is -13*o(b) + 6*v(b)?
-10*b**3 - b**2 - 2*b
Let l(h) = 829*h**2 - 18*h - 6. Let k(f) = 1656*f**2 - 39*f - 13. Calculate -6*k(i) + 13*l(i).
841*i**2
Let q(d) = 27*d**3 - 2*d**2 + 4*d - 4. Let z(g) = -81*g**3 + 7*g**2 - 13*g + 14. Determine -7*q(k) - 2*z(k).
-27*k**3 - 2*k
Let m(u) = 4*u + 3. Let a(q) be the third derivative of -q**4/24 + 5*q**2 + 11*q. Determine 6*a(o) + m(o).
-2*o + 3
Let o(q) be the first derivative of q**4/4 + q**3/3 + q**2/2 + 3*q - 120. Let r = 7 - 8. Let b(x) = -x**2 + x + 1. Calculate r*o(z) + b(z).
-z**3 - 2*z**2 - 2
Let j(s) = 7*s**3 - 3*s**2 - 5. Let o(w) = -11*w**3 + 4*w**2 + 7. Let r(q) = -q**3 + 8*q**2 + 2*q - 23. Let y be r(8). Calculate y*j(k) - 5*o(k).
6*k**3 + k**2
Let p be (-16)/(-2)*6/8. Let w(a) = -p + a - 2*a - a. Let o(b) = -1. Let j = -865 + 866. Give j*w(c) - 6*o(c).
-2*c
Let w = 542 - 537. Let n(r) = -7*r**3 + 2. Let d(a) = 10*a**3 - 3. Give w*d(b) + 7*n(b).
b**3 - 1
Let o(p) = -6*p**3 + 16. Let n(j) = 2*j**3 - 5. Let a be 21 - (-5 - -1*(-10)/(-1)). Give a*n(u) + 5*o(u).
2*u**3
Let m(f) = -3*f**3 - 105*f**2 + 2*f + 76. Let g be m(-35). Let b(l) = 11*l + 11. Let j(h) = 4*h + 4. Calculate g*b(r) - 17*j(r).
-2*r - 2
Let w(i) = 31*i**2 - 8*i**2 + 55*i**2 + 45*i - 23*i**2. Let y(v) be the first derivative of -5*v**3/3 - 2*v**2 + 5. Calculate 4*w(n) + 45*y(n).
-5*n**2
Let a(n) = -3*n - 5. Let u be a(-7). Suppose g + 3 = 4*g. Let t be 3 + u/(g - 5). Let b(h) = 7*h**2 + 7*h + 1. Let l(d) = d**2 + d. Calculate t*b(v) + 6*l(v).
-v**2 - v - 1
Let o(y) = 12*y + 85. Let p(v) = -27*v - 173. Calculate -5*o(s) - 2*p(s).
-6*s - 79
Let c(l) = 2*l**2 - 2*l - 3. Suppose 0 = 6*f - 3*f + 3, -2*f + 6 = -2*b. Let z(y) = 2*y**2 - 3*y - 3. Determine b*z(o) + 5*c(o).
2*o**2 + 2*o - 3
Let z(n) be the second derivative of n**3/2 + n**2/2 + 2*n + 36. Let j(d) = -d. Let a = 9 - 21. Let h be (-3)/2*(-40)/a. What is h*j(k) - 2*z(k)?
-k - 2
Let j(f) = -6*f**3 + 18*f**2 - 8*f. Let d(c) = -c**3 - c**2 - 2*c. What is -5*d(s) + j(s)?
-s**3 + 23*s**2 + 2*s
Let r(g) = g + 1. Let a(j) = 5*j + 6. Let w(o) = 2*o**2 + 4*o + 4. Let b = 11 - 13. Let q be w(b). Suppose 0 = -2*i + q*i + 2. Determine i*a(c) + 3*r(c).
-2*c - 3
Let k(d) = 3*d - 1. Let y(n) be the third derivative of -n**4/24 - n**2 + 39*n. Determine -k(w) - 2*y(w).
-w + 1
Let d(t) = 6*t**2 - 17*t + 4. Let a(h) = 5*h**2 - 17*h + 3. Calculate -4*a(l) + 3*d(l).
-2*l**2 + 17*l
Let b(z) = -21*z + 19. Let p(i) = 10*i - 9. Determine -3*b(w) - 7*p(w).
-7*w + 6
Let k(r) = 23*r + 23. Let g(h) = -12*h - 13. Let t(f) = 5*g(f) + 3*k(f). Let l(q) = -19*q - 9. What is -3*l(d) - 7*t(d)?
-6*d - 1
Let d(g) = -172*g**3 + 5. Let b(v) = -114*v**3 + 3. Give 8*b(k) - 5*d(k).
-52*k**3 - 1
Let l(i) be the third derivative of i**6/20 + i**4/24 + 2*i**3/3 - 198*i**2. Let o(k) = 7*k**3 + k + 5. Give -6*l(z) + 5*o(z).
-z**3 - z + 1
Let o(r) = -63*r**3 + 13*r**2 + 17*r + 8. Let f(z) = 16*z**3 - 3*z**2 - 4*z - 2. Calculate -9*f(y) - 2*o(y).
-18*y**3 + y**2 + 2*y + 2
Let i = -9 - -8. Suppose 41*v - 15 = 36*v. Let x(w) = -6*w - w**v - w - 1 + 3*w + 5*w + w**2. Let z(a) = 3*a**2 + 4*a - 2. Determine i*z(l) + 2*x(l).
-2*l**3 - l**2 - 2*l
Let p(s) = 2*s. Let x(q) = -3*q. Suppose 5*d + 21 = 11. Let r(u) = -u**3 + 3*u + 6. Let a be r(d). Give a*p(l) + 5*x(l).
l
Let q(o) = -2. Let z(b) = 5*b - 6. What is 12*q(s) - 3*z(s)?
-15*s - 6
Let a(c) = -c**2 + 3. Let i(x) = -23*x**3 - 2*x**2 + 4. Give -4*a(z) + 2*i(z).
-46*z**3 - 4
Let h(l) be the third derivative of l**4/24 - l**3 + 224*l**2. Let j = 9 - 10. Let d(v) be the third derivative of v**3/6 - v**2. What is j*h(z) - 6*d(z)?
-z
Let c be (3/(-6))/((-6)/(-12)). Let h(b) = 8*b + 13. Let k(v) = -v - 1. What is c*h(z) - 6*k(z)?
-2*z - 7
Let l(k) = k - 20. Let d(o) = -5*o + 56. Let y(r) = -3*d(r) - 8*l(r). Let m(i) = -20*i + 23. Let p(q) = -q**2 - 2*q - 2. Let x be p(3). What is x*y(v) - 6*m(v)?
v - 2
Suppose 0 = 4*h - 2 - 14. Let p(o) = 5*o**3 + 2*o. Let i(s) = 6*s**3 + 3*s. Suppose -2*u = 312*l - 315*l - 13, -3*l + 4*u = 11. Give h*i(b) + l*p(b).
-b**3 + 2*b
Let g(v) = -7*v + 24. Let i(r) = 2*r - 8. Suppose -10 - 26 = 12*p. Let d(a) = p*g(a) - 8*i(a). Let f(q) = -2*q + 3. Calculate -4*d(z) - 11*f(z).
2*z - 1
Let c(n) = 4*n**2 - 5*n + 18. Let d(w) = 9*w**2 - 12*w + 37. Give -7*c(t) + 3*d(t).
-t**2 - t - 15
Let d(b) = 278*b**3 - 3*b**2 + 3*b - 3. Let v(f) = 1946*f**3 - 20*f**2 + 20*f - 20. Give 20*d(o) - 3*v(o).
-278*o**3
Let j(n) = 2*n**2 + 2*n - 2. Let m(u) = -6*u**2 - 2*u - 3. Let l(t) = t - 2. Let z(k) = -5*l(k) + m(k). Let y be (-3 - 1) + 12/(-4). Determine y*j(p) - 2*z(p).
-2*p**2
Let n(b) = 1 + 11*b + 9 + 1 - 10 + 19. Suppose -5*c + 4*x = 97, 6*c + 77 = 2*c + 3*x. Let d(f) = 4*f + 7. Determine c*d(m) + 6*n(m).
-2*m + 1
Let h(i) = -9 + 0 + 4*i - 1. Let n(p) = -p + 3. Let f be ((-4)/(-10))/(1/(-10)). Let s be (5 + f)/((-1)/(-10)). Determine s*n(l) + 3*h(l).
2*l
Let a(n) be the first derivative of 5*n**3/3 + 4*n + 366. Let v(i) = 14*i**2 + 11. Determine -17*a(t) + 6*v(t).
-t**2 - 2
Let w(s) = -2*s**2 - s - 1. Let c(n) = -143*n**2 + 78*n + 78. What is -c(g) - 78*w(g)?
299*g**2
Let k(a) = 3*a**3 - 7*a**2 - 5*a - 3. Let o(z) = 2*z - 51 + 138 + 3*z**2 - z**3 - 41 - 45. Determine 2*k(s) + 5*o(s).
s**3 + s**2 - 1
Let y(w) = w**2 - 6*w + 1. Let t(h) = 10*h**2 + 30*h - 19. Determine -t(c) - 5*y(c).
-15*c**2 + 14
Let p(i) = 2*i**3 + i**2. Let u(m) = -6*m**3 - 2*m**2. Suppose 32*l = -3*k + 27*l + 8, 0 = 5*l + 10. What is k*u(c) + 17*p(c)?
-2*c**3 + 5*c**2
Let n = 238 - 241. Let l(f) = f**3 - 3*f**2 - 3*f - 2. Let g(c) = -c**3 + 5*c**2 + 5*c + 4. Determine n*g(m) - 5*l(m).
-2*m**3 - 2
Let f(d) = 49*d**3 - 74*d**2 + 8*d. Let y(h) = 16*h**3 - 25*h**2 + 3*h. Calculate 3*f(u) - 8*y(u).
19*u**3 - 22*u**2
Let f(w) = -20*w + 11. Let b be 11 - 8/(-20)*-5. Let y(s) = -3*s + 4 + 5*s - b*s. Calculate 4*f(k) - 11*y(k).
-3*k
Suppose 5*u - h - 30 = 0, -37*u + 5*h = -35*u - 12. Let x(c) = 4*c - 7. Let d(k) = -k. Let o(a) = 6*a - 1. Let v(i) = -11*d(i) - 2*o(i). Give u*x(y) + 21*v(y).
3*y
Let j(o) = -2*o**2 - 3*o - 2. Let g(h) = -2*h**2 - 4*h - 3. Suppose -3*p = -5*m - 5*p - 13, 0 = -2*m + 3*p - 9. What is m*g(c) + 4*j(c)?
-2*c**2 + 1
Let w = 2 + -1. Let q(d) = 2*d**3 + 3*d**2 + d. Let m(s) = -12*s + 107. Let n be m(9). Let t(c) = -c**3 + c**2 + c. Give n*q(b) + w*t(b).
-3*b**3 - 2*b**2
Let k(a) = -44*a - 7. Let d(t) = 43*t + 6. Give -5*d(m) - 4*k(m).
-39*m - 2
Let n(y) = -y**2 + 4*y. Let l(p) = p**3 + 2*p**2 - 7*p + 6. Let d be l(-4). Let c(o) = -4*o**2 + 13*o + 1. What is d*c(x) - 7*n(x)?
-x**2 - 2*x + 2
Let j(o) be the third derivative of -o**4/8 + 3*o**3/2 - o**2. Let w(c) = -5*c + 23. Let q(x) = -x + 6. Let t(v) = -3*q(v) + w(v). Determine 3*j(h) - 5*t(h).
h + 2
Let i(p) = p**2 + 6*p + 5. Let g be i(-4). Let t(c) = 5*c**3 - c**3 + 98*c**2 - 96*c**2 - 3*c**3. Let r(d) = 1. Calculate g*r(s) - t(s).
-s**3 - 2*s**2 - 3
Let r(d) = -11*d**3 + 6*d**2 - 2. Let u(p) = -p**2 - 12*p - 31. Let h be u(-4). Let w(f) = f**3 - f**2. Determine h*r(z) + 5*w(z).
-6*z**3 + z**2 - 2
Let t(z) = 6*z**3 + 9*z**2 - 30. Let q(k) = k**2 - 3. Determine -9*q(i) + t(i).
6*i**3 - 3
Let m(v) = 2*v**2 + 6*v + 7. Let t(p) = -5*p**2 - 13*p - 18. Determine -9*m(q) - 4*t(q).
2*q**2 - 2*q + 9
Let i(j) = 3*j. Let a(y) = 2350*y. Give 2*a(m) - 1410*i(m).
470*m
Let q(y) = -10*y**2 - 7*y + 3. Let c(h) = 20*h**2 + 11*h - 5. Let j(f) = -3*c(f) - 7*q(f). Let u(l) = 7*l**2 + 11*l - 4. Determine -5*j(o) + 7*u(o).
-o**2 - 3*o + 2
Let p(f) = 3*f**3 - 2*f**2 - 2*f - 2. Suppose -y + 15 = 2. Let x(j) = 11*j + 2*j**2 - 2*j + 8*j**2 - y*j**3 + 9 - j**2. What is -9*p(w) - 2*x(w)?
-w**3
Let f(l) be the third derivative of -l**4/24 - l**3/6 - 203*l**2. Let d(c) = 9*c + 5. Give 3*d(x) + 15*f(x).
12*x
Let z(b) = b**3 - 1. Let q(j) = 3 + 2*j**2 + j**2 - 1. Let r(t) = -t**3 + 9*t**2 + 2*t - 16. Let h be r(9). Determine h*z(m) + q(m).
2*
|
{
"pile_set_name": "DM Mathematics"
}
|
260*sqrt(2) + 726
Simplify (1 + sqrt(171))**2 + (-2*(sqrt(19) + 0))**2 + (-5*-2*sqrt(228))/sqrt(12).
16*sqrt(19) + 248
Simplify 5 + 2*sqrt(72) + 2*3*((sqrt(2)*1)**2 + sqrt(2)).
17 + 18*sqrt(2)
Simplify ((-3*sqrt(4455))/((-3*sqrt(60))/sqrt(12)))**2 + -3.
888
Simplify (((sqrt(432) - (-3 + 1 + sqrt(432)) - ((sqrt(3) + -1)*-3 + (sqrt(9)/sqrt(3) + 1 - sqrt(3)))) + -1)*-1)**2.
-18*sqrt(3) + 36
Simplify (-5 + (sqrt(95) - (sqrt(95) - -1*sqrt(95)))/sqrt(5) - (5 + (sqrt(38)/sqrt(2) + -1)**2))*-1.
-sqrt(19) + 30
Simplify (1*1*sqrt(95) + 1*sqrt(95)*-1)/(sqrt(500) - sqrt(500)*-1 - sqrt(320)*-2).
0
Simplify ((-4*sqrt(9)/sqrt(3) + sqrt(15)/(1*sqrt(5)))**2 + (sqrt(9)/sqrt(3)*-6)**2 + (sqrt(108)/sqrt(4))**2)*-5.
-810
Simplify 2 + (sqrt(95)/(sqrt(10)/sqrt(2)) + sqrt(19) - sqrt(133)/(sqrt(7)*-1)) + (sqrt(38)/sqrt(2)*5 + 5 + sqrt(76))**2.
73*sqrt(19) + 958
Simplify ((-2 + (sqrt(18) - sqrt(2)) - (5 + sqrt(2)*2)) + -1 + 3)**2.
25
Simplify (0 + (sqrt(100)/sqrt(4))/sqrt(5)*-5*6 + -5)*-3.
15 + 90*sqrt(5)
Simplify -5*((-2 + sqrt(320))*-1 + (sqrt(320) + 4)*2)**2.
-2100 - 800*sqrt(5)
Simplify ((-1 + -3 + sqrt(147))**2 + sqrt(147) - (sqrt(147) + sqrt(147)*-1)*-1)*6.
-294*sqrt(3) + 978
Simplify -1*(-3*sqrt(68)*-6 + -1 + 3).
-36*sqrt(17) - 2
Simplify -5 + sqrt(91)/(-2*sqrt(7)) + (sqrt(832)*-1 - sqrt(832))**2 + -1.
-sqrt(13)/2 + 3322
Simplify (-1 + (-1 + sqrt(242) + -1*sqrt(288) + 5 + sqrt(20)/sqrt(40))**2)*-1.
-31/2 + 4*sqrt(2)
Simplify (2*(sqrt(648) + 1 - sqrt(648))*2 + -2 + -5)**2.
9
Simplify (-3*sqrt(38)/sqrt(2) - (sqrt(684)*-1 - sqrt(19))) + (sqrt(190) - -6*(sqrt(190) + (sqrt(190) - (sqrt(190) + 1*sqrt(190)))))/sqrt(10).
5*sqrt(19)
Simplify -1 + (sqrt(833)*-2)**2 - ((sqrt(85) + sqrt(85)*-2)/sqrt(5) + -3 + sqrt(17)*1).
3334
Simplify 3 + -6*(3 + ((sqrt(3) - ((2*sqrt(3) + -4 - sqrt(3)) + sqrt(3)) - -2*sqrt(75))*-4)**2).
-24879 - 6912*sqrt(3)
Simplify (sqrt(528)/sqrt(3) - (sqrt(11)*-2 + -2))**2*-2.
-800 - 48*sqrt(11)
Simplify (-4 + -3*(1*sqrt(3300))/(1*sqrt(11)*4))**2.
60*sqrt(3) + 739/4
Simplify 5 + ((1*sqrt(475) + sqrt(475) + sqrt(475))*5)**2 + -2 + -2.
106876
Simplify (4 + (sqrt(12)/sqrt(4))**2)*2 + 1 - 4*4*(1 + sqrt(108)).
-96*sqrt(3) - 1
Simplify -3 + -1 + sqrt(720) + 3 + (-1*sqrt(5)*-2 + -5*(sqrt(5) + 0))*2.
-1 + 6*sqrt(5)
Simplify -4*1*(1 + 1*sqrt(475))**2*-1.
40*sqrt(19) + 1904
Simplify sqrt(1872) + (sqrt(1872) + 5*sqrt(1872)*1)**2 + (1 + sqrt(78)/(sqrt(6)*-2))**2.
11*sqrt(13) + 269585/4
Simplify (1*((sqrt(228) - -2*sqrt(228)) + sqrt(228)) + sqrt(228))/(sqrt(60)/sqrt(5)*-4)*5.
-25*sqrt(19)/4
Simplify (3 + 3 + (sqrt(2940) + 1*sqrt(2940))/sqrt(12) + 1)**2.
196*sqrt(5) + 1029
Simplify ((-1*sqrt(408)*4)/sqrt(12))/(sqrt(24)/sqrt(48)*3).
-8*sqrt(17)/3
Simplify (4*(-3 + sqrt(288)))**2*5*2.
-11520*sqrt(2) + 47520
Simplify (-4*2*sqrt(2240))/(sqrt(175) + sqrt(175) + (sqrt(175) - -1*sqrt(175))*6).
-32*sqrt(5)/35
Simplify (sqrt(240) - 2*((sqrt(240) + sqrt(240)*-1 - sqrt(240)) + sqrt(240)))/(sqrt(25)/sqrt(5)*2).
2*sqrt(3)
Simplify (4*(sqrt(1584) + -5 + sqrt(1584) + 2) - ((5*(sqrt(1584) + 1 + sqrt(1584)) - sqrt(1584)) + -5))**2.
288*sqrt(11) + 1728
Simplify 1 + sqrt(117) + 1 + (0 + sqrt(117))*-5 - (sqrt(117)*1 + -1 + sqrt(117) + sqrt(117))*1.
-21*sqrt(13) + 3
Simplify (2*((sqrt(110) + 3*sqrt(110))*3)/((sqrt(810) - sqrt(10))*-5))**2.
99/25
Simplify (-4 + 1 + -2 + -3 + sqrt(2736) + 0 + sqrt(2736) + -5)**2.
-624*sqrt(19) + 11113
Simplify ((sqrt(640) + (sqrt(640) - sqrt(640)*2))/sqrt(2) + -5 + (1 + -3 + 0 + sqrt(5))*-4)**2.
-24*sqrt(5) + 89
Simplify ((sqrt(605) + 2 + -1)*5 - (5 + 4 + 1 + sqrt(605)))**2.
-440*sqrt(5) + 9705
Simplify 4*((sqrt(242)*1 + sqrt(242))*-6 - (5 + 1*sqrt(242)))**2 + -1.
5720*sqrt(2) + 163691
Simplify ((2*sqrt(162) - sqrt(144)/sqrt(128))/(1*sqrt(36) + (2*sqrt(108))/sqrt(12)))**2.
529/128
Simplify 0 + (sqrt(1728) + 2*sqrt(1728) + (sqrt(54) + -1*sqrt(54))/sqrt(2))/(-2*sqrt(1089) + 1*sqrt(36)/sqrt(4) + sqrt(9)).
-6*sqrt(3)/5
Simplify (sqrt(2) - (((sqrt(32))**2 + sqrt(2))*3 + sqrt(2))) + (-1*(sqrt(2) - (sqrt(2) + 1)))**2 + (4 + sqrt(8) - sqrt(200)*-2)**2.
173*sqrt(2) + 889
Simplify 2*((0 + 2 + sqrt(13))*4 + sqrt(117)/(sqrt(63)/sqrt(7)*-3)).
16 + 22*sqrt(13)/3
Simplify -2 + sqrt(720)*2 + 2 + (sqrt(5) + 2*sqrt(5) + 4)**2 + sqrt(320) + sqrt(320)*2 + sqrt(320).
61 + 80*sqrt(5)
Simplify (2*sqrt(11))**2*3 + sqrt(11) + -2 - ((2*sqrt(88) + sqrt(88))/sqrt(8) - (sqrt(11) + sqrt(44)/sqrt(4) + -3)**2).
-14*sqrt(11) + 183
Simplify (-2 + 3*(0 + 1 + sqrt(176) + sqrt(176) + -2*sqrt(176)*2))**2.
-48*sqrt(11) + 6337
Simplify (-6*(sqrt(112)*1 + sqrt(112)))/(((1*sqrt(48))/sqrt(2))/sqrt(6)) + 0.
-24*sqrt(7)
Simplify ((2*sqrt(190))/sqrt(10)*-4 - (-1*sqrt(171) + -5))*2.
-10*sqrt(19) + 10
Simplify 4*-3*(4*((sqrt(396) + sqrt(396)*4 + sqrt(396) + sqrt(396))**2 + sqrt(396)) + 4*((sqrt(396) - (sqrt(396)*3)**2) + sqrt(396)) + sqrt(396)).
-760320 - 936*sqrt(11)
Simplify 3*(sqrt(832) + (2*(sqrt(832) + -3))**2)*-6.
-60552 + 3312*sqrt(13)
Simplify ((1 + sqrt(108) - sqrt(108) - (sqrt(363)*-1 + sqrt(363))) + -3*sqrt(27)/(1*sqrt(9)))**2.
-6*sqrt(3) + 28
Simplify (2*(4 + -6*sqrt(450))*-1)**2.
-2880*sqrt(2) + 64864
Simplify (sqrt(220) + sqrt(220) + sqrt(220)*3 + sqrt(220))/sqrt(5) - (-1*sqrt(891) + sqrt(11)*2*5).
11*sqrt(11)
Simplify 3 + 4 + 0 + sqrt(75)*1 + 0.
7 + 5*sqrt(3)
Simplify 6*(5*sqrt(175) - sqrt(14)/sqrt(128))**2.
831621/32
Simplify (sqrt(88) + sqrt(88)*2*-1 - (sqrt(88) - 5*(sqrt(88) - (1*sqrt(88) + sqrt(88) - sqrt(88)) - sqrt(88))))/(-2*sqrt(968) - (sqrt(8) + sqrt(88)/sqrt(176))).
28*sqrt(11)/93
Simplify (-1 + (sqrt(108) - (sqrt(108) + 1))**2)*5 + -5*((sqrt(108) - (sqrt(108) + 0))**2 + 3).
-15
Simplify (sqrt(189) - (sqrt(189) + (sqrt(189) - (sqrt(189) + sqrt(189)*1 + sqrt(189)))*-6) - sqrt(189))/(sqrt(192) - sqrt(192)*1*-5).
-13*sqrt(7)/16
Simplify -1*(0 + -2*(sqrt(98) + 4 + 2*sqrt(98) + sqrt(98)))**2.
-6336 - 896*sqrt(2)
Simplify -2*((sqrt(200) + -2*sqrt(200))**2 - 4*sqrt(8))*2.
-800 + 32*sqrt(2)
Simplify ((sqrt(300)/(((sqrt(160) + sqrt(10) - sqrt(10)) + sqrt(10))*6))/((-2*sqrt(160) + sqrt(160))*6))**2.
1/172800
Simplify -5*(sqrt(91)*-1*-1)/(sqrt(315)/sqrt(5))*-2.
10*sqrt(13)/3
Simplify (sqrt(208) + -2 - sqrt(208) - sqrt(208))**2 + 4 - (sqrt(13) - (sqrt(13) - (sqrt(13) + -2 + sqrt(52)/sqrt(4))))**2*-3.
-8*sqrt(13) + 384
Simplify 2*(((sqrt(7) + 1)*-6 - sqrt(7)) + sqrt(56)/(sqrt(8) + sqrt(128) + sqrt(8) - sqrt(8)) + 4*(0 + sqrt(7) + 0))**2.
336*sqrt(7)/5 + 4544/25
Simplify (-4*sqrt(608)*2)/((sqrt(22) - (sqrt(1408) - sqrt(1408)*2 - sqrt(22)))/sqrt(11)).
-16*sqrt(19)/5
Simplify (-2 + sqrt(50)/sqrt(10))*-5 + -1 + (sqrt(80) - (sqrt(80) + 4)**2).
-87 - 33*sqrt(5)
Simplify (-5*(sqrt(44) + (sqrt(396) - -1*sqrt(396))/sqrt(9)))**2 - (-1 + (sqrt(44) - (0 + sqrt(44))**2*-4)).
-2*sqrt(11) + 9725
Simplify (3*(-3*sqrt(65) - sqrt(65))*-3)/((sqrt(110)/(sqrt(8)/sqrt(4)))/sqrt(11)).
36*sqrt(13)
Simplify (-2 + sqrt(162)/(-6*sqrt(54)/sqrt(6)))**2 + 1.
2*sqrt(2) + 11/2
Simplify ((sqrt(102) - (-2*sqrt(102) + sqrt(102)))*-2 + sqrt(102))/sqrt(6) - (-2*(2*sqrt(68) + sqrt(68)))/sqrt(4).
3*sqrt(17)
Simplify (-1 + (sqrt(1377) - -2*sqrt(1377)))**2 + -3 - 4*((-3 + sqrt(272))*5)**2.
-15709 + 2346*sqrt(17)
Simplify (2 + 1 + sqrt(5))*-5*-4 - (2 + sqrt(5) + 2 + (sqrt(5) - sqrt(405)*-1)**2).
-444 + 19*sqrt(5)
Simplify ((sqrt(152)*-1*2*2)/(sqrt(96)/(2*sqrt(108))))**2.
10944
Simplify 2*(sqrt(200) - (-4 + sqrt(200))) - sqrt(200) - (0 + sqrt(98)*4)**2.
-1560 - 10*sqrt(2)
Simplify (((sqrt(425) - -5*(sqrt(425) - (sqrt(425) + -4))) + 2*sqrt(425) + 2)*4 + -3)**2.
10200*sqrt(17) + 68425
Simplify sqrt(117)/(-6*((sqrt(27)/sqrt(3) - sqrt(9)) + sqrt(9))) - (sqrt(13) - (sqrt(208) + -1 + sqrt(208) + sqrt(13)))*-5.
-241*sqrt(13)/6 + 5
Simplify 6*(5 + 2 + sqrt(1100) + sqrt(1100)) - (2 + (sqrt(1100) - ((-1 + sqrt(1100))*2)**2)).
30*sqrt(11) + 4444
Simplify -3 + (sqrt(1584) + 2*sqrt(1584))**2*-2 + -1.
-28516
Simplify (((sqrt(240) - (sqrt(240) - (sqrt(240) + 5*-2*sqrt(240) - sqrt(240) - sqrt(240)))) + sqrt(240))/sqrt(10))/(-2*sqrt(8)*3 + (sqrt(8) - sqrt(648)*2)).
10*sqrt(3)/23
Simplify (-4 + (sqrt(3) + -2*sqrt(300))*-4 + sqrt(30)/(sqrt(10)*3 - sqrt(10)) + -1 + (-1 + sqrt(3) - sqrt(3)))**2.
-918*sqrt(3) + 70371/4
Simplify (1 + 1 + (4*(sqrt(70) + 2*sqrt(70) + sqrt(70)))/(1*sqrt(810)))**2.
64*sqrt(7)/9 + 2116/81
Simplify -2 + (((sqrt(153) + 2)*-
|
{
"pile_set_name": "DM Mathematics"
}
|
vative of v(b) wrt b?
240*b
Let c be 0 + 1 - (0 - 1). Find the third derivative of 2*p**6 + p**2 - 2*p**4 + 3*p**c + 2*p**4 wrt p.
240*p**3
Suppose -15 = -2*h + 3*w, -4*h + 0 = 3*w - 3. What is the first derivative of 418*s + 7 - 418*s - h*s**3 wrt s?
-9*s**2
Suppose 1 + 23 = 4*s. Differentiate -7*p**2 - s - 21 + 2 wrt p.
-14*p
Let b(w) be the first derivative of -125*w**4/4 - 75*w - 7. Differentiate b(c) wrt c.
-375*c**2
Let f be (-2)/3 + 436/6. What is the third derivative of -19*j**2 - 20*j**6 + 72*j**4 - f*j**4 wrt j?
-2400*j**3
Suppose -y - 1 = -4. Let f be 27/(-6)*(-2)/y. Find the second derivative of -2*i + 8*i**5 - f*i**5 - 3*i wrt i.
100*i**3
Let l be (2/(-3))/(0 + (-12)/90). Let b(k) = -12*k**3 + 19*k + 5. Let a(w) = -1. Let g(d) = l*a(d) + b(d). Find the second derivative of g(x) wrt x.
-72*x
Let f(s) = s + 7. Let y be f(-5). What is the third derivative of -5*u**2 - 5*u**y - 16*u**4 - 3*u**4 wrt u?
-456*u
What is the third derivative of j**5 - 38*j**2 + 6883*j + 33*j**4 - 6883*j wrt j?
60*j**2 + 792*j
Let v(f) be the first derivative of 28*f**2 - 59*f + 44. What is the first derivative of v(n) wrt n?
56
Let g(n) be the second derivative of -87*n**5/20 + 23*n**2/2 + 22*n - 2. Find the first derivative of g(l) wrt l.
-261*l**2
Differentiate -66 + 310*p**2 - 222 - 219 + 18 + 19 wrt p.
620*p
Let x be (((-40)/(-6))/10)/((-2)/(-6)). Differentiate 2*j**2 + j**x + j**2 + 12*j**2 - 15 wrt j.
32*j
Suppose 0 = 5*f - 10*f + 15. Suppose -f*y - 2*n + 4 = -n, -4*n = 4*y + 8. Find the second derivative of -69 + q - 4*q**y + 69 wrt q.
-24*q
Let o(m) = -185*m - 60. Let a(l) = 3*l**2 - 3*l - 1. Let f be a(4). Let j(r) = -31*r - 10. Let h(x) = f*j(x) - 6*o(x). Find the first derivative of h(v) wrt v.
25
Let b be 611/(-91) - 4/14. Let h = b - -13. What is the third derivative of -2*q**2 - 4*q**2 + 7*q**h + 2*q**2 wrt q?
840*q**3
Let k = -2 - 4. Let p be (-28)/k - (-3)/9. Find the second derivative of 6*d**5 - 3*d**2 + 12*d + 3*d**2 + d**p wrt d.
140*d**3
Suppose -5*g - 53 = -4*i, -6 = -i + g + 6. Differentiate -13*a**4 - i + 31*a**4 - 20*a**4 with respect to a.
-8*a**3
Let i(k) be the first derivative of 0*k**4 + 0*k + 5 + 0*k**2 + 0*k**6 + 0*k**5 - 4/7*k**7 + 8*k**3. Find the third derivative of i(x) wrt x.
-480*x**3
Let s(t) be the first derivative of 0*t**3 + 1/30*t**6 - 1 + 0*t**5 + 2*t**2 + 0*t**4 + 4*t. Let p(z) be the first derivative of s(z). Differentiate p(o) wrt o.
4*o**3
What is the second derivative of -2 + 27*a**2 + 11 - 24*a**2 - a**4 + 42*a**2 + 3*a wrt a?
-12*a**2 + 90
Let n(o) be the third derivative of o**6/40 - 2*o**5/5 + 3*o**4/8 + o**3/6 - 119*o**2. What is the second derivative of n(l) wrt l?
18*l - 48
Let j(p) be the third derivative of -9*p**4/4 + 35*p**3/3 + p**2 + 75*p. What is the first derivative of j(v) wrt v?
-54
Let g(z) be the second derivative of -29*z**5/20 - 29*z**4/12 - 17*z - 2. What is the third derivative of g(q) wrt q?
-174
Find the third derivative of 1618*k**3 - 283*k - 3292*k**3 - k**2 + 1201*k**3 - k**2 wrt k.
-2838
Let a(b) be the first derivative of -61*b**2 - 14*b - 222. Differentiate a(s) with respect to s.
-122
What is the third derivative of 13*p**3 - 3 + 3 + 2*p**3 + 0 + 179*p**2 wrt p?
90
Let y(h) be the third derivative of -h**8/336 - 2*h**7/35 + h**5/60 + 17*h**3/3 - 98*h**2. What is the third derivative of y(v) wrt v?
-60*v**2 - 288*v
Let c be (-33)/77 - (-34)/14. Differentiate 90*f**2 - 7 + 6*f**3 - 90*f**c with respect to f.
18*f**2
Let z(g) = 204*g**3 - 14*g**2 - 7*g - 44. Let l(k) = 2*k**3 - 2*k**2 - k + 1. Let v(c) = -14*l(c) + 2*z(c). Find the first derivative of v(f) wrt f.
1140*f**2
What is the second derivative of 0*n - 2*n**5 + 19*n**2 - n - n - 34 - 13*n**2 wrt n?
-40*n**3 + 12
Let r(w) be the third derivative of 41*w**6/120 - w**4/2 + w**3/3 - 7*w**2 + 3*w. What is the second derivative of r(u) wrt u?
246*u
Let d be (5/2 + -3)*-4. Let x = d + 0. What is the third derivative of 0*j**6 + 28*j**x - 18*j**2 + 10*j**6 wrt j?
1200*j**3
Let a(m) = -m + 5. Let b be a(3). Suppose 4*c + c + 4*x - 23 = 0, 5*x = -b*c + 16. Differentiate 2*h**3 - 11 - 5*h**3 - 6*h**c + 3 wrt h.
-27*h**2
Suppose -s = -5, 2*s + s + 25 = 5*c. What is the second derivative of 38*d**2 - c*d**2 - 10*d + 6*d**2 - 15*d wrt d?
72
Let d = -12 + 32. What is the second derivative of -15*l**3 + 10*l**3 + 11*l**3 + d*l wrt l?
36*l
Suppose -5*r + 3015 = 3*x, 22 = 4*x + 2. Find the first derivative of -15 + r*v**3 - 588*v**3 + 58 wrt v.
36*v**2
Suppose -i + 3*i = 4*f, 4*i + f = -27. Let j be (2/i)/(1/(-6)). What is the derivative of -h**2 - 1 - h**2 + j*h**2 - 4*h**2 wrt h?
-8*h
Suppose k = 4*w - 12, -4*k = -4*w + 6 + 6. Let d(t) be the first derivative of 0*t**3 - 2 + k*t**2 + 5*t - 1/2*t**4. What is the first derivative of d(g) wrt g?
-6*g**2
Let s(t) = 4*t**2 + 63*t + 86. Let c(g) = 13*g**2 + 190*g + 259. Let h(q) = 6*c(q) - 19*s(q). What is the first derivative of h(o) wrt o?
4*o - 57
Let y(n) be the first derivative of -7*n**3/6 + 7*n**2/2 + 4*n - 1. Let f(m) be the first derivative of y(m). Differentiate f(r) with respect to r.
-7
Let u be 32/(-6)*21/(-14). Find the first derivative of 9*g**3 + u + 12*g**3 - 3*g**3 + g**3 wrt g.
57*g**2
Suppose 12 = -3*m - m, -4*m - 183 = -3*g. What is the second derivative of 4*b**2 + 47*b**4 - 4*b**2 + 53*b - g*b wrt b?
564*b**2
Let p(y) = -y + 1. Suppose -3 = -g - 1. Let v(c) = -3*c**3 - 2*c - 2. Let f(t) = g*p(t) + v(t). Find the second derivative of f(b) wrt b.
-18*b
Let c(l) = -2 + 104*l**2 - 11*l**2 - 47*l**2 + 11*l**2. Let z(j) = -j**2 - 2. Let k(h) = -c(h) - 2*z(h). Differentiate k(y) wrt y.
-110*y
Let q be 38/6 + (-12)/(-18). Let t(s) be the first derivative of -q*s**3 + 0*s - 8 + 2*s**3 + 3*s + 2*s**3. Differentiate t(d) with respect to d.
-18*d
Find the first derivative of 104 - 118*y**2 + 30 + 269 - 277*y**2 - 206*y**2 wrt y.
-1202*y
Let w(m) be the third derivative of 0*m - 32*m**2 + 0 + 3/4*m**4 - 37/6*m**3. What is the derivative of w(t) wrt t?
18
Let q(u) be the third derivative of -181*u**6/60 + u**5/30 + 7*u**4/8 + 8*u**2 - 7. What is the third derivative of q(c) wrt c?
-2172
Let o(a) = -a**4. Let k(m) = -13. Let h be ((-220)/12)/(-5) - 1/(-3). Let l(b) = h*o(b) - k(b). What is the first derivative of l(y) wrt y?
-16*y**3
Let t(y) be the second derivative of y**3/6 + 8*y**2 + 7*y. Let n be t(-12). What is the first derivative of -3*a + 5*a - n*a - 2*a - 8 wrt a?
-4
Let w(x) = -2*x - 3. Let h(n) = -n - 2. Let c(k) = 7*h(k) - 3*w(k). Let t be c(-7). Find the third derivative of 6*j**4 + 8*j + 7*j - 15*j + 12*j**t wrt j.
144*j
Suppose m - 2*m + 14 = -2*x, 5*m + 4*x = 0. Let z(u) = u**2 + 11*u + 2. Let a be z(-11). Find the first derivative of a - 3 - 4*b**4 + m wrt b.
-16*b**3
Let o = 11 - 20. Let j(n) = n**2 + 9*n + 3. Let i be j(o). Find the first derivative of 9 + i*z**3 + z**3 + 12*z - 12*z wrt z.
12*z**2
Let d(m) be the second derivative of -9*m + 0 + 7/20*m**5 + 7/2*m**2 + 0*m**4 + 0*m**3. Differentiate d(s) with respect to s.
21*s**2
Let o(f) = -f**4 - f**2 + f - 1. Let c(l) = 5*l**5 - 4*l**4 - 4*l**2 + 30*l - 7. Let y(b) = -c(b) + 4*o(b). What is the second derivative of y(h) wrt h?
-100*h**3
Find the third derivative of -8*q**3 + 9*q**3 - 17*q**3 - 2*q**2 + 13*q - 9*q**3 wrt q.
-150
Suppose -126 = -16*w - 46. Let q(t) be the first derivative of 1/2*t**4 + 0*t**2 + 0*t**3 + 7 - w*t. What is the first derivative of q(v) wrt v?
6*v**2
Let o = -5 + 16. Suppose 0*a - 2*a = 5*f - 22, -3*f + a + o = 0. Differentiate -5 - 3*l**f - 5*l**4 + 0 wrt l.
-32*l**3
Let u(z) be the second derivative of 11*z**5/10 + 11*z**4/12 + 395*z**2 + z - 102. What is the first derivative of u(j) wrt j?
66*j**2 + 22*j
Let w(h) = 2*h**3 - 2*h**2 - 3*h + 1. Let g be w(3). Suppose -4*b = c - 3, -4*b + c + g = -3*c. Differentiate -4 - b - 2*q**2 + 4*q**2 + 3 wrt q.
4*q
Let o(v) be the first derivative of 111*v**6/2 - v**4/2 + 155*v**3/3 - 450. Find the third derivative of o(u) wrt u.
19980*u**2 - 12
Let z(x) = 27*x - 2. Let h(p) = 28*p - 4. Let c(t) = -4*h(t) + 3*z(t). Let o(d) = 31*d - 9. Let f(q) = -6*c(q) - 7*o(q). Differentiate f(w) wrt w.
-31
Let w(c) = -12*c**2 + 3. Let a(g) = 49*g**2 - 12. Let s = -37 - -39. Let j(m) = s*a(m) + 9*w(m). Differentiate j(t) wrt t.
-20*t
Let f(p) = 17*p**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
0*r**2
Find the third derivative of 304*z**3 + 193*z**2.
1824
What is the derivative of 3*q**2 + 6*q + 204 wrt q?
6*q + 6
Find the first derivative of -7*w**3 + 114*w**2 + 1715 wrt w.
-21*w**2 + 228*w
Find the third derivative of 239*l**3*w**3 - l**2*w**3 - 3*l**2*w - 4*l*w wrt l.
1434*w**3
Find the third derivative of 3*m**3*q**2 - 1522*m**3 - 264*m**2*q**2 - m*q wrt m.
18*q**2 - 9132
Find the second derivative of -4*k**3*q**3 + 3*k**3*q**2 + 4*k**3*q + 4*k*q - 2*q**3 wrt q.
-24*k**3*q + 6*k**3 - 12*q
What is the second derivative of 2*j**2*k + 229*j**2 + 2*j*k - 2*j + 12 wrt j?
4*k + 458
What is the third derivative of -3*u**4*v**3 + 2*u**4*v - 42*u**3*z + 103*u**2 - 3*v**3*z - v**2*z wrt u?
-72*u*v**3 + 48*u*v - 252*z
Find the second derivative of 2*c**3*k**2 - 32*c**3 - c**2*k**2 - c*k**2 + 188*c*k wrt c.
12*c*k**2 - 192*c - 2*k**2
Find the second derivative of 3609*v**3 - v**2 - 9100*v.
21654*v - 2
Differentiate -4*m*x**2 + 590*m*x - 5551*x**2 wrt m.
-4*x**2 + 590*x
Find the second derivative of h**2*o**3 + 3*h**2*o + h*o**2 - 594*o**4 + 302*o wrt o.
6*h**2*o + 2*h - 7128*o**2
What is the second derivative of 4135*w**2 + 3*w - 521 wrt w?
8270
Find the third derivative of -28*m**3*u**2 + 3*m**3*u + 194*m**2*u**2 wrt m.
-168*u**2 + 18*u
Find the first derivative of -465*k**4*y + 2*k*y**2 - 38*y**2 + 16*y wrt k.
-1860*k**3*y + 2*y**2
What is the third derivative of 50*c**3*j*r - c**3*j + c**3*r**3 - 2*c**2*j*r**3 + 22*c**2*j + c*j*r**3 - 2*c*j wrt c?
300*j*r - 6*j + 6*r**3
Find the first derivative of -2*j**2*v**3 - 9*j**2*v + 5*j + 12*v**3 - v**2 wrt j.
-4*j*v**3 - 18*j*v + 5
What is the second derivative of 206*j**3 + 195*j wrt j?
1236*j
Find the third derivative of 1171*c**5 + 16*c**2 - 10*c wrt c.
70260*c**2
Differentiate 30*o**3 - 45*o**2 - 3261.
90*o**2 - 90*o
Find the second derivative of -197*k**3*y**3 - 6*k**3*y + k**3 - 5*k*y**4 + 18*k*y wrt y.
-1182*k**3*y - 60*k*y**2
Find the third derivative of 439*i**3 - 436*i**2 wrt i.
2634
Differentiate 45*s**2*v**3 - 6*s**2 - s - v**3 - 8*v - 5 with respect to s.
90*s*v**3 - 12*s - 1
Find the third derivative of 180*t**3*y**2 + 10*t**2*y + y**2 wrt t.
1080*y**2
Find the third derivative of -7*c**5 - 63*c**3 + 888*c**2 wrt c.
-420*c**2 - 378
What is the third derivative of 3*m**3*v**3*y + 2*m**3*v*y + 475*m**2*v**2 - 130*m*v**3*y wrt v?
18*m**3*y - 780*m*y
Find the second derivative of -164*o*r**2 - 23*o*r - 7*o - r**3 - 3*r + 1 wrt r.
-328*o - 6*r
What is the third derivative of -338*t**5 - 3*t**2 - 180*t?
-20280*t**2
What is the first derivative of 2*i**2*l**3 + 9*i**2*l**2 + 15*i + 58*l**3 - 3 wrt i?
4*i*l**3 + 18*i*l**2 + 15
Find the second derivative of 5*m**4 + 8*m**2 - 525*m wrt m.
60*m**2 + 16
What is the third derivative of 14*t**4*z**3 + 3*t**3*z**3 + 27*t**3 + 4*t**2*z**3 + 106 wrt t?
336*t*z**3 + 18*z**3 + 162
Find the second derivative of 47*d**2*h*q**2 - 2*d**2*h*q + d*h*q**2 - 2*d*h - d*q**2 - 2*q**2 wrt d.
94*h*q**2 - 4*h*q
What is the third derivative of 2*j**5 + 153*j**4 + 4*j**3 - 455*j**2 - 2*j?
120*j**2 + 3672*j + 24
What is the second derivative of -4481*s**2 + 4522*s wrt s?
-8962
What is the second derivative of 4*d**3 - 3210*d**2*v**2 - 2*d*v + 100*d + 3*v**2 + 1 wrt d?
24*d - 6420*v**2
What is the second derivative of 274*g**3 - g**2 - 29*g + 3 wrt g?
1644*g - 2
Find the third derivative of -2*y**6 - 163*y**4 - 285*y**2.
-240*y**3 - 3912*y
Find the second derivative of u**3 - 250*u**2 - u + 454 wrt u.
6*u - 500
Find the third derivative of -5*d*k**3*n - d*k**2*n**3 - d*k**2*n + 7*d*k**2 - d*n + 3*k**3*n**3 + 2*k**3 wrt k.
-30*d*n + 18*n**3 + 12
Find the first derivative of 10793*k**2 - 4251.
21586*k
What is the second derivative of 4*f*q**3 - 7*f*q**2 - 9*f*q + f + 3*q wrt q?
24*f*q - 14*f
Find the third derivative of -500*b**6 - 633*b**2.
-60000*b**3
Find the third derivative of 2434*g**3 + 9*g**2 + 13*g.
14604
What is the third derivative of 1611*r**3 + 1569*r**2?
9666
What is the third derivative of -5*g**6 - 44*g**4 + 5488*g**2 wrt g?
-600*g**3 - 1056*g
Find the third derivative of 704*z**4 + z**2 - 291 wrt z.
16896*z
What is the third derivative of -94*a**3*r**3*w**3 + a**2*r - 8*a*r**3*w**2 + 3*r**2*w**3 wrt a?
-564*r**3*w**3
What is the second derivative of 219*y**2 + 20*y + 4?
438
What is the second derivative of -12*i*p**2 - i*p + 9*p**4 + 90*p wrt p?
-24*i + 108*p**2
Differentiate -2*a**2*x**4 + 63*a**2*x**3 - a**2 - 10 with respect to x.
-8*a**2*x**3 + 189*a**2*x**2
What is the second derivative of -127*i**3*y**2 + 5*i**3*y - 3*y**3 + 2*y**2 + 21*y wrt y?
-254*i**3 - 18*y + 4
What is the derivative of 2*b*j - 2*b + 57*j**4 + 12 wrt j?
2*b + 228*j**3
What is the third derivative of 41*a*d**4*g + 2*a*d**3 - 52*a*d**2*g - 2*a*d - 2*d**4 + 2*d**3*g + 2*d**2*g + d wrt d?
984*a*d*g + 12*a - 48*d + 12*g
What is the derivative of 147*c**3*f**3 - 2*c**3*f + 537*f**3 wrt c?
441*c**2*f**3 - 6*c**2*f
What is the third derivative of 2327*r**3 + 1402*r**2?
13962
What is the derivative of -32*y**4 - 202 wrt y?
-128*y**3
What is the second derivative of 156*g**2*u**2 - 14*g**2*u - 2*g**2 wrt u?
312*g**2
Differentiate -2*a*x - 5*a + 76*x**3 + 3 wrt x.
-2*a + 228*x**2
Find the second derivative of -668*l**4 + 361*l wrt l.
-8016*l**2
Find the second derivative of 2*b**3*i**2 - 3*b**3*i - 261*b*i + 1108*i**2 wrt i.
4*b**3 + 2216
Find the third derivative of -15*p**6 + 95*p**5*z**3 + 20*p**2*z**3 - 3*p**2 + 3*p*z wrt p.
-1800*p**3 + 5700*p**2*z**3
Find the third derivative of 141*h**3*u**3 + 11*h**2*u**3 + 2*u**3 wrt h.
846*u**3
What is the third derivative of 789*i**3 - 292*i**2 wrt i?
4734
What is the third derivative of 542*n**3*r + 38*n**2*r - 11*n**2 wrt n?
3252*r
What is the derivative of 28864*w**3 - 24865 wrt w?
86592*w**2
What is the derivative of -3*c**2*d**3*u - 38*c**2*d + 116*c**2*u + 13*c*d**3 + 2*d**2 - d - 9*u**2 wrt u?
-3*c**2*d**3 + 116*c**2 - 18*u
What is the third derivative of -1366*w**6 + 825*w**2 wrt w?
-163920*w**3
Find the third derivative of -9082*i**3 - 15606*i**2 wrt i.
-54492
What is the first derivative of -44*i**4*u - 2*i**3*u + 2*u - 11 wrt i?
-176*i**3*u - 6*i**2*u
Find the third derivative of 21232*p**6 - 9*p**2 - p + 18.
2547840*p**3
What is the second derivative of 3*a**2*v**5 + 17*a**2*v**2 + 473*a**2*v + 12*v**2 wrt v?
60*a**2*v**3 + 34*a**2 + 24
What is the third derivative of n**6*s - 36*n**4*s - 2*n**4 - n**2 - 31*s wrt n?
120*n**3*s - 864*n*s - 48*n
What is the second derivative of -1328*v**4 - 1885*v?
-15936*v**2
What is the third derivative of -2560*j**4*r - 10*j**2*r + 1241 wrt j?
-61440*j*r
Find the second derivative of -7*a**3*f**3*s + 9*a**2*f**3*s - a*f**3*s - 12*a*f**2*s + a*s wrt a.
-42*a*f**3*s + 18*f**3*s
What is the second derivative of 1041*y**3 - 2*y**2 + 14696*y?
6246*y - 4
What is the second derivative of 1859*m**2 + m + 168 wrt m?
3718
What is the second derivative of -2758*d**2*s**2 + 25*d**2 + 4*d*s + 1 wrt s?
-5516*d**2
Find the second derivative of -5*j**2*l**4 + 4*j**2*l**2 + 2*j**2 - 12*j - 6*l wrt l.
-60*j**2*l**2 + 8*j**2
What is the second derivative of 189*r**2*x**2 + 81*r + 2*x**2 wrt r?
378*x**2
What is the derivative of -350*z**2 - z + 295?
-700*z - 1
What is the third derivative of -14295*q**3 - 2*q**2 - 4*q + 321 wrt q?
-85770
What is the third derivative of 122*d**5 - 21*d**3 - d**2 + 158*d - 2?
7320*d**2 - 126
Find the first derivative of 1397*n + 974 wrt n.
1397
Differentiate -768*w**4 - 3*w**2 + 3*w*x**2 + 242*x**2 - 22 wrt w.
-3072*w**3 - 6*w + 3*x**2
Find the second derivative of -2*i**4*k - 325*i**2*k**2 - 2*i**2*k*v - i*k**2*v + 2*i*k*v - 1246*v wrt i.
-24*i**2*k - 650*k**2 - 4*k*v
Find the second derivative of c**3*s**2 + 345*c**3 - 13*c*s**2 - 5*s**2 wrt c.
6*c*s**2 + 2070*c
Differentiate 2*p**4 - 104*p**3 + 5419.
8*p**3 - 312*p**2
What is the third derivative of 5882*n**5 + 4011*n**2?
352920*n**2
What is the first derivative of 11*d*j*y**3 + 2*d*j*y**2 + 12*d + 4*j*y**2 - 13*j + y**3 wrt d?
11*j*y**3 + 2*j*y**2 + 12
Find the third derivative of 61*m**3*s**3 - 4*m**3*s**2*t - 2*m*s**3*t**2 + 9*s*t**2 wrt s.
366*m**3 - 12*m*t**2
Differentiate 6890*k**2*x**2 + k**2*x - 6003*k**2 with respect to x.
13780*k**2*x + k**2
Find the third derivative of -35*q**5 + 39*q**4 + 4924*q**2 wrt q.
-2100*q**
|
{
"pile_set_name": "DM Mathematics"
}
|
2 = 22. Let c be y(k). What are the prime factors of c/(-4) + (-2)/4?
5
Let x = 8 - -10. Let c be (-2)/(-4) + x/(-4). List the prime factors of (-3 + -1)/(c/6).
2, 3
Let a be (39 + 0)/((-3)/(-2)). Let u = a - 10. What are the prime factors of u?
2
Let l(r) = r**2 - r + 3. Let n be l(5). Let b = n + -14. List the prime factors of b.
3
What are the prime factors of (-232)/14*(-21)/6?
2, 29
Let f = 4 - 0. Suppose 3*v = -f*n + n, -32 = -5*v + 3*n. List the prime factors of v.
2
Suppose 0 = v - 5, 13 = 4*c - 4*v - 15. Let i(w) = 3*w - 8. What are the prime factors of i(c)?
2, 7
Let j = 47 + -26. Let f be 9/7 - (-4)/(-14). What are the prime factors of 1/(3/(f*j))?
7
Let o be (-3 - -7)/((-2)/(-3)). Let j(l) = l**2 - 4*l - 6. Let k be j(o). What are the prime factors of (-65)/(-4) + k/(-24)?
2
What are the prime factors of ((-32)/(-5))/((-6)/(-30))?
2
Let p(c) = -9*c + 2. What are the prime factors of p(-6)?
2, 7
Suppose 4*j - 240 = -2*j. What are the prime factors of j?
2, 5
Suppose 0 = -r + 2*c - 4 + 3, r - 3*c - 1 = 0. Let f(u) = u + 5. Let d be f(r). Suppose -5*s + d*s + 70 = 0. List the prime factors of s.
2, 7
Let f = -3 + 5. Suppose -p - 21 = -f*p. Suppose -2*v + 1 = -p. What are the prime factors of v?
11
Let i = 16 + -1. Let o = 17 - i. List the prime factors of o.
2
Let o = 158 - 79. What are the prime factors of o?
79
Suppose 16*l - 2601 = -681. What are the prime factors of l?
2, 3, 5
Let v(q) = q + 7. Let s be v(8). Suppose -19*u = -s*u - 8. List the prime factors of u.
2
Let c(j) = 20*j - 29. List the prime factors of c(10).
3, 19
Let u = -49 - -105. What are the prime factors of u?
2, 7
Let n(y) = -7*y + 15. Let j be n(10). List the prime factors of (-2079)/j - (-1)/5.
2, 19
Suppose -2*l = 40 - 34. Let n(h) = -3*h**2 + 0*h**3 + 1 - h**3 + h + h**2. What are the prime factors of n(l)?
7
Let r(f) = -5*f - 2*f - f**2 - 3*f - 10. Let g be r(-9). What are the prime factors of -2*(-3 - -2) - g?
3
Suppose 2*q - 4*l = 254, -q + 0*l - 2*l + 119 = 0. List the prime factors of q.
3, 41
Let r(u) = -u**2 - 10*u - 3. Let n be r(-10). What are the prime factors of (13/2)/(n/(-18))?
3, 13
Let r be 1/(-2)*(2 - 2). Suppose 0 = -4*q - 2*p - 12, r*p = -p - 4. List the prime factors of 4 + q - (-8 - -2).
3
List the prime factors of (-4)/((-1)/(-26)*-2).
2, 13
Let d = 118 - -192. List the prime factors of d.
2, 5, 31
Suppose -185 = -q + 3*x, -2*q + 0*q = x - 384. What are the prime factors of q?
191
Let v(p) = p**3 + 4*p**2 - 4*p - 1. Let l be v(-4). Suppose y = 3*x + l, x + 21 - 1 = 2*y. What are the prime factors of y?
3
Let k = 157 - 108. List the prime factors of k.
7
Suppose l + 4*r = -l + 70, -3*l - 4*r = -107. What are the prime factors of l?
37
Suppose -7 = -4*g + 3*g. Let r = 11 - g. What are the prime factors of r?
2
Let d(l) = -3*l - 3. Let z be d(-2). Let y be 11 - (-1 - (-3)/z). Let w = 15 - y. List the prime factors of w.
2
Suppose -4*o + 3 = -113. Let b = -14 + o. What are the prime factors of (b/(-9))/(3/(-27))?
3, 5
Let p = -39 - -18. Let s = -11 - p. What are the prime factors of s?
2, 5
Let k = 3 + -2. Let p(c) = c**2 + 1. What are the prime factors of p(k)?
2
Let s(x) = -76*x + 27. List the prime factors of s(-5).
11, 37
Suppose 4*h - 68 = -0*h. List the prime factors of (-1)/(-6) + h/6.
3
Let u(a) = a**2 - 1. Let g be u(-2). Let s be g - (-1 + -1 - -9). List the prime factors of 540/28 - s/(-14).
19
Suppose -t + 54 = -4*t. Let j = -11 - t. Let w = -5 + j. List the prime factors of w.
2
Let w(m) = 30*m - 5. List the prime factors of w(3).
5, 17
Let a be (-10)/30 + 92/6. Suppose a*w - 96 = 13*w. What are the prime factors of w?
2, 3
Let c = 63 + -7. What are the prime factors of c?
2, 7
Let k(i) = -11*i**3 + i. Let x(m) = -m**3 + 3*m**2 - 2*m - 3. Let h be x(3). Let a be (-14)/18 - (-2)/h. List the prime factors of k(a).
2, 5
Suppose -3*x + 11 = -4. Suppose -3*b = -4*t - 0 - 47, 61 = 4*b - x*t. Suppose 4*d + b = 53. What are the prime factors of d?
11
Let h(o) = -o**2 - 2*o + 1. Let d be h(-3). Let r = 4 + d. What are the prime factors of r?
2
Let o(f) = -f**2 + f. Let d(k) = k**3 - 3*k**2 + 2*k + 5. Let p(r) = d(r) - 3*o(r). What are the prime factors of p(0)?
5
Let o(q) = 3*q - 1. Let u be o(-3). List the prime factors of ((-3)/(-2))/(u/(-20)).
3
Let h be (1 - -2 - -1) + -1. Suppose -h*k = -2*m - 25, -4*k - 35 = -8*k + m. What are the prime factors of k?
3
Let o(t) = 4*t**2 - 3 - 5*t**2 + 9 + 2*t**2 + 3*t. Let f(s) = -s**2 - 5*s - 4. Let c be f(-5). List the prime factors of o(c).
2, 5
What are the prime factors of ((-1)/2)/(261/(-260) - -1)?
2, 5, 13
Let y = 24 - 18. Suppose 5*b + 3*v = 116, 0 = -y*b + 4*b - v + 47. List the prime factors of b.
5
Let r(g) = 2*g**2 + 5*g + 3. Let z be r(-3). Let h be 19 + 0 - (-6)/(-6). List the prime factors of (z/h)/(1/6).
2
Let d = -4 + -1. Let i be (-2)/d + (-39)/(-15). Suppose -2*v + 7 = -i. List the prime factors of v.
5
Let f = 52 + -24. Suppose 2*k - 10 - f = 0. Let d = 34 - k. What are the prime factors of d?
3, 5
Let p = 1 + 5. Suppose -4*w - 6*x + 8 = -2*x, 2*w - 5*x - 4 = 0. Suppose -s = w*s - p. List the prime factors of s.
2
Let h = 8 + -3. Suppose -l + 15 = h*k, 3*l - 6*k = -2*k - 12. Let j = l + 7. What are the prime factors of j?
7
Suppose 0 = 4*l - 3*z - 452, 3*l + 0*z = 3*z + 342. What are the prime factors of l?
2, 5, 11
Let n = -21 + 30. Suppose 11 = -2*i - 5*w + 30, 0 = i + 3*w - 11. List the prime factors of n*1*(i + -1).
3
Suppose -5*x = f + 5, 2*f + 2*x + 5 = f. Let s = f - -31. Let u = s - 14. List the prime factors of u.
2, 3
Suppose -2*k + 172 = -74. What are the prime factors of k?
3, 41
Let r(b) = -5*b - 7. Let d = -13 + 9. List the prime factors of r(d).
13
Suppose -3*o - 5*q + 320 = 0, 4*o + 5*q = -0*q + 435. What are the prime factors of o?
5, 23
Suppose 55 = w - 4*n, -4*w - 4*n + 2*n + 166 = 0. What are the prime factors of w?
43
Let y(s) = -23*s**3 + 2*s + 1. Let i be 0*(-1 + 2) + -1. List the prime factors of y(i).
2, 11
Let l = -2 - -38. What are the prime factors of l?
2, 3
Let f = 75 - 27. Suppose -l - 2*l = -3*p + 36, 4*p - 3*l = f. What are the prime factors of p?
2, 3
Suppose -24 = -5*s + 6. Let t(x) = 14*x**2 + x. Let k be t(-1). Let n = k - s. List the prime factors of n.
7
Let b = 18 + -11. Let n(t) = -t**3 + 8*t**2 - 7*t + 2. Let l be n(b). What are the prime factors of 156/15 - l/5?
2, 5
Suppose -r = 3*f - 41, 0*r = 3*f - 3*r - 57. List the prime factors of f.
3, 5
Let c be (3/9 + 0)*3. Suppose 0 = 4*k + c - 21. What are the prime factors of 2/k - (-116)/10?
2, 3
Suppose 16 = -4*c - 0*c, -5*x - 2*c = 33. Let f = 24 - 67. What are the prime factors of f/x - (-18)/45?
3
List the prime factors of 2/10 - 656/(-20).
3, 11
Suppose -5*g - 1 = -3*i - 4, -4*g = i + 18. Let d = i - -8. List the prime factors of d.
2
Let r be 9*(1 + 2 + -2). Suppose -4*n + 16 = 2*c, 15 = 4*c + c + 5*n. Let v = r + c. List the prime factors of v.
7
Let m = 5 + -1. What are the prime factors of m?
2
Let p = -2 + 2. Suppose -42 = -v - i - 16, 2*v + 3*i - 52 = p. What are the prime factors of v?
2, 13
Let p(w) = w**2 - 3*w + 4. List the prime factors of p(3).
2
Let q(w) = -w**2 + 12*w. Let i be q(9). Let u = -12 + i. List the prime factors of u.
3, 5
Suppose 0 = -3*m, 4*x - m - 3*m = 1832. What are the prime factors of x?
2, 229
Suppose 4 = 4*f - 12. Suppose -4*h - 12 = f. List the prime factors of (-60)/(-25) - h/(-10).
2
Let s(k) = -k**3 + k**2 + 1. Let o(m) = 3*m**3 - 11*m**2 - m - 4. Let z(y) = -o(y) - 4*s(y). Let n be z(-7). List the prime factors of (-30)/n + (-2)/7.
2
Let x = -24 - 32. Let k = -33 - x. List the prime factors of k.
23
Let l = 2 - 0. Suppose -l*m - m = -9. Suppose -t + 7 = 2*s, -m*s + 29 = 5*t - 27. What are the prime factors of t?
13
Suppose 3*n = -v + 79 + 150, n + v = 73. What are the prime factors of n?
2, 3, 13
Suppose -5*k = -3*s + 24, 3*s - 5*k - 30 = -2*s. Let d = 0 + s. Suppose r + 26 = d*r. What are the prime factors of r?
13
Suppose -x = -s + 5 + 5, 2*s - x - 16 = 0. Let d(p) = p + 1. List the prime factors of d(s).
7
List the prime factors of (2 + 0)/((-21)/(-126)).
2, 3
Let t(u) = u - 6. Let i be t(6). Suppose i = -0*r + r - 5. Suppose r*p + 0*p - 2 = 2*o, -5*o + 49 = p. What are the prime factors of o?
3
Let t = -19 + 1. Let y = t - -34. List the p
|
{
"pile_set_name": "DM Mathematics"
}
|
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