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y - 32593 + 10939. What are the prime factors of y?
2, 3, 401
Let q(w) = -w + 4 - 3*w + 4*w - 4*w. Let z be q(-3). Suppose g - z = -g. List the prime factors of g.
2
Suppose 5*h = -4*i + 1887, 4*h + 2*i + i = 1509. List the prime factors of h.
3, 5
Let x be -3 - 5*(-3 - -2). Suppose -x*v = 5*o - 13, -12 - 2 = -5*o - v. Suppose -4*z + 128 = o*d, -d = -0*z - 3*z - 21. List the prime factors of d.
2, 3
Suppose -4*b + 3*i = -5*b + 1178, 0 = 2*b + 2*i - 2356. What are the prime factors of b?
2, 19, 31
Suppose 5*j + 990 = -35. Let f = j - -291. List the prime factors of f.
2, 43
Suppose q - 223 = -2*a + 516, -2*a - 4*q = -736. List the prime factors of a.
2, 5, 37
Let c(x) = -x**3 + 31*x**2 - 73*x + 15. List the prime factors of c(21).
2, 3, 241
Let a(h) = -2*h**3 + 88*h**2 - 52*h + 91. What are the prime factors of a(43)?
1553
Let t = -262 + 1387. List the prime factors of t.
3, 5
Suppose -34*c - 5*c = -65208. What are the prime factors of c?
2, 11, 19
Let j = -2548 - -2847. List the prime factors of j.
13, 23
Let h = 741 + -461. List the prime factors of h.
2, 5, 7
Let v be (-3)/((-12)/(-32))*9/(-12). List the prime factors of 3/(-36)*-1516 - 2/v.
2, 3, 7
Suppose 0 = -5*q + 22 - 12. Suppose 39 = q*m + u, 5*m - 105 = u - 2*u. What are the prime factors of m/(-33)*(-75)/2?
5
Let b(t) = -t**3 - 5*t**2 - 9*t + 3. What are the prime factors of b(-4)?
23
Suppose 2*h + 4*r - 95 = 127, 4*h + 4*r - 452 = 0. List the prime factors of h.
5, 23
Suppose 0 = -2*c + 4*c - 2*z - 114, -5*c - 4*z = -276. Let k = 100 - c. What are the prime factors of k?
2, 11
Let c(p) be the second derivative of p**4/12 + p**3/3 + p**2/2 - 19*p. Let d be 2 - ((-4)/(-2) - -4). What are the prime factors of c(d)?
3
Suppose -4*s + 508 = -1720. What are the prime factors of s?
557
Suppose 2*s + j - 4*j - 543 = 0, 1367 = 5*s + 2*j. Suppose 0 = -8*v + 5*v + 3*g + s, 2*g = -4*v + 352. What are the prime factors of v?
89
Suppose 2*a = 0, -2*m - 5*a - 14 = -0*a. Let d(x) = -11*x + 10. List the prime factors of d(m).
3, 29
Let h be 2*(-6)/12 - 3*1. Let s(m) = -22*m - 13. What are the prime factors of s(h)?
3, 5
Let w = 45 + 291. List the prime factors of -1*(0 - -7)*(-11808)/w.
2, 3, 41
Let h(t) = 2 - 7*t - 8*t**3 + 0 + 12*t**2 - 16*t**2 + 0*t**3. What are the prime factors of h(-3)?
7, 29
Let g(q) = -q**3 - 64*q**2 + 237*q - 18. What are the prime factors of g(-68)?
2, 1181
Suppose -3*m + 4*c = -800, -5*c - 415 - 653 = -4*m. What are the prime factors of m?
2, 17
What are the prime factors of (-2)/((-26080)/(-13045) - (4 + -2))?
2609
Let y(s) = 4*s**2 + s - 5. Let n(z) = -z**2 - z - 1. Let p(x) = -6*n(x) + y(x). List the prime factors of p(-4).
7, 19
Let r be ((-1)/3*2)/(18/108). Let o(y) = -y + 12. What are the prime factors of o(r)?
2
Let p(q) = q**2 + 14. Let h(d) = -d**2 + 3*d + 11. Let n be h(4). What are the prime factors of p(n)?
3, 7
Let f(a) = 113*a + 55. What are the prime factors of f(9)?
2, 67
Let x = 409 - 139. Suppose 2*c - 157 = -c - 2*f, 5*c - x = -5*f. List the prime factors of c.
7
Let n be (1/(-2))/(2/32). Let c = -7 - -17. Let g = n + c. List the prime factors of g.
2
Suppose 6*v - v - 15 = 0. Suppose 0 = v*c + 4*h - 17, 2*c - 2 = -3*h + 8. List the prime factors of c.
11
Let l(d) be the first derivative of d**3 - 2*d**2 - 4*d + 3. What are the prime factors of l(-3)?
5, 7
Let y(p) = 8*p + 8. Let z = 18 - 13. What are the prime factors of y(z)?
2, 3
Let s = -123 - -126. What are the prime factors of (s - -15 - 3)*(-4)/(-6)?
2, 5
Let c(o) = 4*o + 10. Let l be c(-2). Suppose 3*s + 309 = 2*d + 10, l*s + 294 = 2*d. List the prime factors of d.
2, 71
Let a(g) = 69*g**2 - 5*g + 4. List the prime factors of a(3).
2, 5, 61
Let t be ((-9)/(-6))/(0 - 12/(-152)). Let q(p) = p**2 - 16*p - 25. What are the prime factors of q(t)?
2
Let f = 31 + 9. What are the prime factors of (669/(-4))/((-30)/f)?
223
Let l(j) = 6*j**2 + 13*j + 11. What are the prime factors of l(-11)?
2, 3, 11
Suppose -256 = 6*r - 268. What are the prime factors of r?
2
What are the prime factors of (-330)/(-110)*521/3?
521
Suppose -7 = -4*z + 13, 0 = -2*w - 5*z + 27. Let p be (136/85)/(w/(-5)). Let f = p + 15. What are the prime factors of f?
7
Let s(x) = -3*x**3 - 8*x**2 - 9*x + 1. Let q be s(-5). Let r = q - 133. What are the prime factors of r?
2, 11
Suppose 2*c - 3056 = -6*z, 3*c + z - 1618 - 2990 = 0. List the prime factors of c.
29, 53
Suppose 4*p - q - 1 = -2, 0 = -2*q - 6. Let r(b) = 10*b**2 - 1. Let z be r(p). Let j = -2 + z. List the prime factors of j.
7
Suppose 0 = -0*s - 4*s - 40. Let h = s - -2. Let d = h - -13. List the prime factors of d.
5
List the prime factors of ((-106)/318)/((-12543)/(-12546) - 1).
2, 17, 41
Let q(b) = -14*b + 0 + 1 - 2*b**2 + 3*b**2 + 3. What are the prime factors of q(18)?
2, 19
Suppose 61 = 4*k - d, k = 3*k + d - 29. List the prime factors of 44/6 + 10/k.
2
Let h = 1051 - 621. Suppose -2*i + 10*z - 6*z = -430, -2*i + 2*z = -h. What are the prime factors of i?
5, 43
Suppose x - 3 + 6 = 0. What are the prime factors of (36/15)/(2/(-440)*x)?
2, 11
Let t(c) = 29*c - 4. Let x be t(3). Let i = x + -23. List the prime factors of 4748/i + (-4)/30.
79
Let f(v) = v**2 + 7*v + 2. Let n be f(-7). Suppose 2*r = -4*m - n*r + 356, 0 = -2*m + 3*r + 158. What are the prime factors of m?
5, 17
Suppose -d + 59 = -h - 74, 4*d - h - 526 = 0. List the prime factors of d.
131
Suppose -2*w = 2*z - 1768, 12 = -5*w + w. What are the prime factors of z?
887
Let v be -2*(-34)/(-6)*-3. Let o = -47 + v. Let g = o + 35. What are the prime factors of g?
2, 11
Let r = 12 - 18. Let m = 26 + r. What are the prime factors of m?
2, 5
Let d = 105 - -10. Let t = d - 69. List the prime factors of t.
2, 23
Suppose -3*k + 1080 = -111. Let x = 697 - k. What are the prime factors of x?
2, 3, 5
Let w = 1357 - 965. What are the prime factors of w?
2, 7
Let r be (-1)/(-3) - 416/(-12). Suppose r = w - 15. What are the prime factors of w?
2, 5
Suppose -13*c + 33 = 85. What are the prime factors of (11/(165/(-50)))/(c/210)?
5, 7
Let v = -109 - -112. Suppose v*t - 49 - 11 = 0. What are the prime factors of t?
2, 5
Suppose 0 = -4*m + 3*m + 245. List the prime factors of -7*7/(m/(-50)).
2, 5
Suppose -4291 + 13491 = 20*y. Suppose 176 + 67 = i - 4*t, 2*i + 5*t = y. List the prime factors of i.
5, 47
Let o be -3 - (-6*29 + -6). Suppose 0 = -4*x + 2*w + 12, -2*x - 4*w = -4*x + 12. Suppose q - o = -x*q. List the prime factors of q.
59
Let p = 39 + 9. Suppose p*q = 50*q - 132. List the prime factors of q.
2, 3, 11
Let w(y) = -3*y**3 - 6*y**2 - 3. Let o(s) = -4*s**3 - 6*s**2 - 4. Let v(i) = 2*o(i) - 3*w(i). Let u be v(-6). What are the prime factors of u/5 + 1014/30?
2, 17
What are the prime factors of ((-1610)/(-21) - -3)*3?
239
Suppose v - 106 = 5*z - v, -4*z + 5*v = 78. Let o = -27 - z. Let d = o + 7. What are the prime factors of d?
2
Let j = 8 + -11. Let h be 2/(-7)*(j + -11). Suppose -4*b + 4*g = -64, -b + 4*g + 9 = -h. List the prime factors of b.
17
Suppose 5*w - 267 + 107 = 0. What are the prime factors of w?
2
Let g(r) = r**3 + r**2 + r + 3. Let t be g(0). Suppose 2*k + 2*k - x - 91 = 0, 5*k + 4*x = 140. What are the prime factors of k + 4/(-4) + t?
2, 13
Let h = -83 + 142. What are the prime factors of h?
59
Let o = 11 + 77. Suppose -i + o = 31. What are the prime factors of i?
3, 19
Suppose 5*l - 17377 = -3*a, -5*l + 16036 - 4453 = 2*a. What are the prime factors of a?
2, 2897
Suppose -2*u + 2*o = -2072, -4*u + 4483 = -3*o + 337. What are the prime factors of u?
2, 3, 173
Suppose -6*z - 73 = -2*z + m, -4*z - 3*m - 67 = 0. Let n = 10 + z. Let p(a) = -3*a + 6. List the prime factors of p(n).
3, 11
Let v(d) = d**2 + d + 1. Let b be v(0). List the prime factors of (77/b)/((-17)/(-17)).
7, 11
Let m be -12*2*3/(-18). Let k be 47/m - 21/28. Suppose 0 = -2*g - k + 51. List the prime factors of g.
2, 5
Suppose 2*b - 5*d - 5383 = 90, d = 3*b - 8177. List the prime factors of b.
2, 3, 227
Let t(a) = -3*a + 12. Let o be t(6). Let p be 0/(-1) + (-480)/o. Let h = -50 + p. What are the prime factors of h?
2, 3, 5
Let k(h) = 2*h**2 - 2*h + 3. Let g be k(3). Let t(d) = -5 + g*d - 10 - 9. What are the prime factors of t(6)?
2, 3, 11
Let z(w) = w**3 - w**2 - 2. Let n be z(2). Suppose -98 = l - n*l. List the prime factors of -2*(-2 - l/
|
{
"pile_set_name": "DM Mathematics"
}
|
5
What is the remainder when 148776 is divided by 21249?
33
Calculate the remainder when 10933 is divided by 837.
52
Calculate the remainder when 4391 is divided by 76.
59
Calculate the remainder when 15306 is divided by 3043.
91
What is the remainder when 2447 is divided by 32?
15
Calculate the remainder when 85056 is divided by 28349.
9
Calculate the remainder when 31449 is divided by 45.
39
What is the remainder when 7268 is divided by 2320?
308
What is the remainder when 22541 is divided by 471?
404
What is the remainder when 2062 is divided by 57?
10
What is the remainder when 2491805 is divided by 17?
13
Calculate the remainder when 20107 is divided by 7.
3
What is the remainder when 16244 is divided by 74?
38
What is the remainder when 7254 is divided by 7249?
5
What is the remainder when 1996 is divided by 116?
24
What is the remainder when 213675 is divided by 30524?
7
Calculate the remainder when 908 is divided by 40.
28
What is the remainder when 778050 is divided by 630?
0
Calculate the remainder when 186 is divided by 16.
10
What is the remainder when 22809 is divided by 65?
59
What is the remainder when 13798 is divided by 119?
113
What is the remainder when 38396 is divided by 6?
2
What is the remainder when 6512 is divided by 3246?
20
Calculate the remainder when 2957 is divided by 245.
17
What is the remainder when 6100 is divided by 29?
10
What is the remainder when 17664 is divided by 3514?
94
What is the remainder when 363071 is divided by 61?
60
Calculate the remainder when 4595 is divided by 1056.
371
Calculate the remainder when 255157 is divided by 31.
27
Calculate the remainder when 1452 is divided by 1371.
81
What is the remainder when 684123 is divided by 31096?
11
What is the remainder when 60981 is divided by 404?
381
Calculate the remainder when 38096 is divided by 334.
20
What is the remainder when 2234 is divided by 465?
374
Calculate the remainder when 43485 is divided by 489.
453
What is the remainder when 16610 is divided by 25?
10
What is the remainder when 32261 is divided by 8?
5
What is the remainder when 32417 is divided by 16?
1
What is the remainder when 5796 is divided by 510?
186
What is the remainder when 209 is divided by 187?
22
What is the remainder when 58603 is divided by 14?
13
What is the remainder when 59616 is divided by 15?
6
Calculate the remainder when 1539 is divided by 11.
10
What is the remainder when 13866 is divided by 13860?
6
What is the remainder when 8908 is divided by 758?
570
Calculate the remainder when 11477 is divided by 280.
277
What is the remainder when 409129 is divided by 27?
25
Calculate the remainder when 51577 is divided by 41.
40
Calculate the remainder when 77394 is divided by 2978.
2944
Calculate the remainder when 34279 is divided by 16928.
423
Calculate the remainder when 129370 is divided by 345.
340
Calculate the remainder when 45227 is divided by 6445.
112
What is the remainder when 546732 is divided by 287?
284
Calculate the remainder when 17666 is divided by 53.
17
Calculate the remainder when 89577 is divided by 3199.
5
Calculate the remainder when 335757 is divided by 28.
9
Calculate the remainder when 2213 is divided by 593.
434
Calculate the remainder when 5134 is divided by 343.
332
What is the remainder when 55991 is divided by 9319?
77
Calculate the remainder when 4701869 is divided by 25.
19
Calculate the remainder when 12464 is divided by 60.
44
What is the remainder when 22120 is divided by 3331?
2134
What is the remainder when 8827 is divided by 47?
38
Calculate the remainder when 1420 is divided by 288.
268
What is the remainder when 10801 is divided by 13?
11
What is the remainder when 17893 is divided by 884?
213
What is the remainder when 92483 is divided by 180?
143
What is the remainder when 175 is divided by 80?
15
Calculate the remainder when 4732 is divided by 1108.
300
What is the remainder when 40077 is divided by 20?
17
What is the remainder when 6589 is divided by 315?
289
Calculate the remainder when 240570 is divided by 3.
0
Calculate the remainder when 3819 is divided by 402.
201
What is the remainder when 3674 is divided by 157?
63
What is the remainder when 94375 is divided by 137?
119
What is the remainder when 4116 is divided by 374?
2
What is the remainder when 40023 is divided by 42?
39
What is the remainder when 91705 is divided by 18333?
40
What is the remainder when 9939 is divided by 287?
181
What is the remainder when 55551 is divided by 41?
37
Calculate the remainder when 66212 is divided by 31.
27
Calculate the remainder when 14090 is divided by 716.
486
Calculate the remainder when 3256 is divided by 465.
1
What is the remainder when 5937 is divided by 106?
1
What is the remainder when 21343 is divided by 1412?
163
What is the remainder when 8340 is divided by 321?
315
What is the remainder when 6752 is divided by 559?
44
What is the remainder when 42012 is divided by 186?
162
What is the remainder when 567 is divided by 282?
3
What is the remainder when 4888 is divided by 223?
205
What is the remainder when 661061 is divided by 302?
285
What is the remainder when 272682 is divided by 27?
9
What is the remainder when 393 is divided by 2?
1
Calculate the remainder when 374378 is divided by 187184.
10
What is the remainder when 5103 is divided by 45?
18
Calculate the remainder when 357 is divided by 112.
21
Calculate the remainder when 253441 is divided by 6.
1
What is the remainder when 8662298 is divided by 2060?
2058
What is the remainder when 512 is divided by 27?
26
What is the remainder when 917081 is divided by 1258?
1257
Calculate the remainder when 200521 is divided by 66823.
52
Calculate the remainder when 45610 is divided by 181.
179
What is the remainder when 6041 is divided by 443?
282
Calculate the remainder when 396336 is divided by 2477.
16
Calculate the remainder when 7778 is divided by 118.
108
What is the remainder when 1040 is divided by 364?
312
What is the remainder when 22715 is divided by 45?
35
Calculate the remainder when 408473 is divided by 1253.
1248
What is the remainder when 5786 is divided by 765?
431
Calculate the remainder when 2911 is divided by 83.
6
What is the remainder when 1289 is divided by 905?
384
Calculate the remainder when 9400 is divided by 624.
40
What is the remainder when 22923 is divided by 191?
3
What is the remainder when 6240894 is divided by 39?
36
Calculate the remainder when 298 is divided by 87.
37
Calculate the remainder when 134928 is divided by 1467.
1431
What is the remainder when 136112 is divided by 125?
112
Calculate the remainder when 5660 is divided by 2823.
14
What is the remainder when 519460 is divided by 24?
4
What is the remainder when 528 is divided by 74?
10
Calculate the remainder when 11131 is divided by 336.
43
What is the remainder when 76152 is divided by 42?
6
What is the remainder when 3663 is divided by 155?
98
Calculate the remainder when 18796 is divided by 39.
37
Calculate the remainder when 191016 is divided by 20.
16
What is the remainder when 7449 is divided by 206?
33
Calculate the remainder when 1914702 is divided by 195.
192
What is the remainder when 50815 is divided by 162?
109
What is the remainder when 5049 is divided by 210?
9
What is the remainder when 45924 is divided by 574?
4
What is the remainder when 7928 is divided by 485?
168
Calculate the remainder when 825 is divided by 24.
9
Calculate the remainder when 33928 is divided by 358.
276
What is the remainder when 4589 is divided by 144?
125
Calculate the remainder when 5181 is divided by 475.
431
What is the remainder when 21532 is divided by 312?
4
What is the remainder when 2246 is divided by 563?
557
What is the remainder when 117242 is divided by 39077?
11
What is the remainder when 4913 is divided by 1220?
33
Calculate the remainder when 1771106 is divided by 110.
106
Calculate the remainder when 6918 is divided by 570.
78
What is the remainder when 3065532 is divided by 15?
12
What is the remainder when 453116 is divided by 8?
4
What is the remainder when 1326076 is divided by 651?
640
Calculate the remainder when 643028 is divided by 216.
212
What is the remainder when 428 is divided by 158?
112
What is the remainder when 1069 is divided by 23?
11
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let d(l) = 12*l**3 - 4*l**2 - 5*l + 6. Let y(b) = b**3 + b**2 - b. Let p(n) = d(n) - 5*y(n). Let s(w) = 6*w**3 - 8*w**2 + 5. What is 5*p(c) - 6*s(c)?
-c**3 + 3*c**2
Let n(j) = 13*j**3 - 6*j**2 - 6*j + 6. Let c(s) be the first derivative of 25*s**4/4 - 11*s**3/3 - 11*s**2/2 + 11*s + 55. Determine 6*c(o) - 11*n(o).
7*o**3
Let y(u) be the second derivative of 1/10*u**5 - 5/6*u**3 + 0*u**4 + 0 + 5/2*u**2 - 9*u. Let m(s) = -4*s + 6*s + 4 - 6*s + s**3. What is -5*m(a) + 4*y(a)?
3*a**3
Let m(i) = -15*i**3 - 5*i**2 + 92*i + 1. Let y(h) = 23*h**3 + 8*h**2 - 138*h - 2. Give 8*m(x) + 5*y(x).
-5*x**3 + 46*x - 2
Let z(t) = -18 + 6 + 2 + 3 + 6 - t. Let v(y) = -2*y**3 + 4*y**3 - 2*y**2 + 3 + 3*y - y**3. Give -v(b) - 3*z(b).
-b**3 + 2*b**2
Let s(u) = -2*u**2 + 2*u + 6. Let y(g) = -9 + 16*g + 16 - 4*g**2 + 6 - 12*g. What is 9*s(a) - 4*y(a)?
-2*a**2 + 2*a + 2
Let o(k) = 7*k**3 + k. Let q(s) = 13*s**3 + s. Let t = -122 - -119. What is t*q(m) + 5*o(m)?
-4*m**3 + 2*m
Let l(k) = -k**2 + k. Suppose -4*i = -0*i - 8. Let n = 2 - i. Suppose 29 = -3*y - n*y + 2*h, 3 = 3*h. Let a(f) = -5*f**2 + 5*f - 1. Determine y*l(p) + 2*a(p).
-p**2 + p - 2
Let v(y) = y - 5. Let t(p) = 77*p - 22. Give -t(i) + 6*v(i).
-71*i - 8
Let n(b) = 1. Let r(k) = -2*k**3 - 3*k - 2. Suppose -2*w - 2*v = -256, 122 = -0*w + w + 4*v. Let q = w + -134. Give q*n(u) - r(u).
2*u**3 + 3*u - 2
Let m(g) = -7*g**3 - 21*g**2 + 2*g. Let u(t) = 2*t**3 + 7*t**2 - t. Give -3*m(c) - 8*u(c).
5*c**3 + 7*c**2 + 2*c
Let s be 8 + -9 + 8*3. Let v(l) = s*l + 0*l + 5 - 25*l. Let m(y) = y - 2. Calculate 5*m(d) + 2*v(d).
d
Let v(z) = 12*z - 8. Let q(l) = 3 - 2*l - 2*l + 0*l. Suppose -4530*h = -4487*h - 344. Give h*q(c) + 3*v(c).
4*c
Let c(a) = -a**2 + a + 7. Let j(p) = p - 7. Let r(y) = 2*c(y) + 3*j(y). Let s(m) = -m**2 + m + 1. Calculate -r(f) + 3*s(f).
-f**2 - 2*f + 10
Suppose y - m = 0, -4*y - m = -0*y + 10. Let v(p) = -p**2 + 2*p + 2. Let w(b) = -2*b**2 + 2*b + 2. What is y*w(l) + 3*v(l)?
l**2 + 2*l + 2
Let r(v) = -10*v**3 + 15*v**2 + 3*v - 4. Let n(s) = 13*s**3 - 15*s**2 - 4*s + 3. What is 3*n(h) + 4*r(h)?
-h**3 + 15*h**2 - 7
Let v(l) = 10*l**3 - 24*l**2 + 11. Let d(t) = t**3 + t**2 + 2. Determine -7*d(m) + v(m).
3*m**3 - 31*m**2 - 3
Let x(h) = -4*h + 48. Let k(b) = -12*b + 144. Calculate -5*k(q) + 16*x(q).
-4*q + 48
Let b = -2506 - -2500. Let i(a) = -9*a + 11. Let t(u) = 2*u + 3*u - 4 - 2. Determine b*i(v) - 11*t(v).
-v
Let q(v) = -646*v. Let u(h) = 86*h. Give -5*q(p) - 38*u(p).
-38*p
Let s(t) = 41*t**2 - t + 2. Let f(a) = 42*a**2 - a + 2. Determine 4*f(b) - 3*s(b).
45*b**2 - b + 2
Let j(o) = 2*o**2 + 2*o + 1. Let t(x) = -2*x**2 - 2*x - 1. Let f = -117 + 28. Let m = 124 + f. Suppose 0 = -9*c + 4*c + m. Give c*t(b) + 6*j(b).
-2*b**2 - 2*b - 1
Let i(o) = o. Let z be 137/5 + (-6)/15. Suppose 0 = -0*c - 2*c + 2*n + 14, 5*c - n = z. Let u(h) = -h - 6*h + 17*h + h - 5*h. Give c*i(m) - u(m).
-m
Let z(j) = 2*j - 1. Let h(m) = -53*m - 4. Give h(s) - 4*z(s).
-61*s
Let a = -52 - -49. Let i(q) = -8*q**3 - 3*q**2 - 1. Let j(n) = -9*n**3 - 4*n**2 - 1. Determine a*j(b) + 4*i(b).
-5*b**3 - 1
Let s(y) = 2*y**3 - 2*y**2 + 30*y. Let p(k) = -k**2 - k. Determine -4*p(l) + s(l).
2*l**3 + 2*l**2 + 34*l
Suppose 16*d + 66 = 194. Let p(l) = 2*l - 41. Let f(o) = -o + 14. Determine d*f(k) + 3*p(k).
-2*k - 11
Let k be (3 - 161/49)*-21. Let y(x) = 11*x + 3. Let v(d) = 66*d + 17. Determine k*v(p) - 34*y(p).
22*p
Let k(g) = -g - 56. Let b(p) = p + 29. Calculate 5*b(l) + 2*k(l).
3*l + 33
Let a(i) = -i**3 - i + 1. Let x(w) = -46*w**3 - 4*w + 3. What is -5*a(v) + x(v)?
-41*v**3 + v - 2
Suppose -3*k - 6 - 6 = 0. Suppose 36 + 90 = -7*r. Let v(x) = -13*x - 5. Let i(y) = -1. Let u(a) = 3*a - 3. Let o(n) = -4*i(n) + u(n). Determine k*v(j) + r*o(j).
-2*j + 2
Let k(d) = -d**2 - 9*d + 195. Let j be k(-19). Let o be (3 + -1)*(-1)/(-1). Let g(x) = 3*x - 6. Let c(a) = -a + 3. Calculate j*c(i) + o*g(i).
i + 3
Suppose -2*p - 106 = -2*d, -5*p - 5*d - 164 - 51 = 0. Let m(l) = 60*l**3 + 48*l - 48. Let j(v) = -v**3 - v + 1. Calculate p*j(w) - m(w).
-12*w**3
Let f = 7 + -3. Let w(p) = -4 - 2 + 3*p - f*p. Suppose -18*a - 12*a + 180 = 0. Let c(u) = -2*u - 13. Give a*c(o) - 13*w(o).
o
Let y(m) = 7*m - 45. Let o(t) = 5*t - 45. Calculate -4*o(g) + 3*y(g).
g + 45
Let f(y) = 4*y - 1. Let t(m) = 0*m + 0*m + 6 - 8*m + m - 4. Calculate 5*f(r) + 3*t(r).
-r + 1
Let z(t) = -243*t**3 + 5 - 7 + 244*t**3. Let x(h) = h**3 - 3. Let k(j) = -2*j - 1. Let f be k(1). Give f*z(o) + 2*x(o).
-o**3
Let y(v) = -2*v. Let d(o) = -4*o. Let f(a) = -d(a) + 5*y(a). Let r(h) = h. Calculate 6*f(m) + 45*r(m).
9*m
Let j(v) = -32*v**2 - 3*v + 4. Let u(k) = 63*k**2 + 7*k - 10. What is -5*j(z) - 2*u(z)?
34*z**2 + z
Let q(y) = -5*y**2 - 4*y - 7. Let x(h) = h**2 - 10*h + 24. Let d be x(7). Let o(u) = -u**2 - u - d - 7 + 9. Give -6*o(p) + q(p).
p**2 + 2*p - 1
Let h(j) = 17*j - 12. Suppose 0 = -4*i + 5*w - 3, 3*i = -9*w + 11*w - 4. Let a(b) = -4*b + 3. Let f be 175/(-21) - (-4)/(-6). Calculate f*a(y) + i*h(y).
2*y - 3
Let h(k) be the second derivative of k**4/6 - k**3/2 - 3*k**2/2 - 7*k + 10. Let v(b) = b**2 - 2*b - 3. Calculate 3*h(a) - 4*v(a).
2*a**2 - a + 3
Let o(a) = -20*a - 6. Let q(n) = -7*n - 2. Determine 6*o(l) - 17*q(l).
-l - 2
Let k(d) be the second derivative of 15*d - d**2 + 0 + 0*d**3 - 1/6*d**4 - 3/20*d**5. Let a(r) = r**3 + 1. Let q be (1/(-2))/((-2)/4). Calculate q*a(z) + k(z).
-2*z**3 - 2*z**2 - 1
Let l(d) = -23*d**2 - 17. Let j(c) = -8*c**2 - 2*c - 1. Let i(y) = -10*y**2 - 3*y. Let h(x) = -2*i(x) + 3*j(x). Calculate 34*h(g) - 6*l(g).
2*g**2
Let l(n) = -5*n + 2. Let g(t) be the second derivative of 2*t**3/3 - t**2/2 - 68*t. Give 4*g(z) + 3*l(z).
z + 2
Let t(i) = i**3 + 6*i**2 + 6*i - 4. Let r = 402 - 409. Let v(c) = c**3 + 7*c**2 + 7*c - 5. What is r*t(s) + 6*v(s)?
-s**3 - 2
Let g(b) = -b**3 - 5*b**2 - 2*b - 2. Let t(i) = -1335*i**3 + 1334*i**3 + 3 - i - 6 - i - 6*i**2. Determine 6*g(j) - 5*t(j).
-j**3 - 2*j + 3
Let l(j) = 2*j + 251. Let h(z) = -z - 84. Give -8*h(d) - 3*l(d).
2*d - 81
Let i(o) = -2*o**3 - 2*o - 4. Suppose -6 = -3*m + 6. Let r(q) = -5*q**3 - 9 - m*q + q - q. Let w = -641 + 644. What is w*r(n) - 7*i(n)?
-n**3 + 2*n + 1
Let d(n) = -11*n**2 - 29*n + 5. Let s(r) = -10*r**2 - 29*r + 4. What is 4*d(h) - 5*s(h)?
6*h**2 + 29*h
Let n(x) = -5*x**2 - 3*x + 9. Let k(d) = 4*d**2 + 3*d - 10. Calculate 7*k(s) + 6*n(s).
-2*s**2 + 3*s - 16
Let g be 1*1/(-3) - 49/(-21). Let r(x) be the first derivative of 7 - 3/2*x**g + 7*x. Let q(m) = -8*m + 20. What is -6*q(v) + 17*r(v)?
-3*v - 1
Let u(k) = k + 3. Let b(o) be the third derivative of -o**3/3 + 3*o**2 + 16. Calculate -3*b(r) - 2*u(r).
-2*r
Suppose 3*z - 7*z - 12 = -0*z. Let s(n) = -3*n - 4. Let w(a) = -1 - a**2 + a - 2 + 4. Give z*w(l) - s(l).
3*l**2 + 1
Let x(w) = -8*w**2 - 3*w + 3. Let i(c) = -23*c**2 - 8*c + 9. Calculate 4*i(b) - 11*x(b).
-4*b**2 + b + 3
Let b(o) = 7*o**3 + 4*o**2 + 129*o + 5. Let g(x) = -3*x**3 - x**2 - 64*x - 2. Calculate -2*b(k) - 5*g(k).
k**3 - 3*k**2 + 62*k
Let g(n) = 842*n**3 + 7*n. Let s(d) = -421*d**3 - 4*d. Give -4*g(p) - 7*s(p).
-421*p**3
Suppose 337 + 13 = -10*d. Let v(x) = -2*x + 3. Let j(l) be the first derivative of -25*l**2/2 + 35*l + 80. Give d*v(r) + 3*j(r).
-5*r
Let h(w) = -5*w**3 + 5*w**2 + 6*w - 10. Let v(u) = 10*u**3 - 11*u**2 - 12*u + 21. Let k(q) = -13*h(q) - 6*v(q). Let o(x) = -x + 1. Give k(n) - 6*o(n).
5*n**3 + n**2 - 2
Let r(g) = 2*g**2 - 2*g - 5 + 2*g + 4. Let b(v) be the first derivative of -v**3 + v - 47. Determine -5*b(d) - 8*r(d).
-d**2 + 3
Let c(g) = -104*g**2 - 17*g + 13. Let p(l) = 26*l**2 + 4*l - 3. Calculate 6*c(z) + 26*p(z).
52*z**2 + 2*z
Let p(b) be the third derivative of -b**4/8 - b**2 + 98*b. Let w(m) = 3*m + 4. Let q(l) = -2*l - 3. Let o(v) = 4*q(v) + 3*w(v). What is 2*o(c) + p(c)?
-c
Let a(u) = 11*u**2 - 4*u - 9. Let g be 11 + 8 + 0/1. Let m = g - 23. Let d(p) be the first derivative of -5*p**3/3 + p**2 + 4*p + 2. Determine m*a(v) - 9*d(v).
v**2 - 2*v
Let x(d) = 7*d**3 - 5*d + 5. Let n(w) = 4*w**3 - 3*w + 3. Let q = 78 + -24. Let a = q + -51. What is a*x(f) - 5*n(f)?
f**3
Let o(g) = -182*g - 1. Let h(b) = -732*b - 4. Determine 2*h(m) - 9*o(m).
174*m + 1
Let r(c) = -41*c + 93. Let f(w) = -15*w + 31. Determine -11*f(q) + 4*r(q).
q + 31
Let a(x) = -x - 538. Let w(b) = -2. Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
-243 - -728/3. What is the closest to -0.7 in 7, -5, h, 1/8?
h
Let i = -0.08 + 5.48. Let f = i - 5. Let n be 30/(-18) + 2 + 8/(-12). Which is the closest to n? (a) -1 (b) -4 (c) f
a
Suppose -460 = 5*y + 200. Let s be (2/(-8))/(3/y). What is the nearest to s in -4, 0.1, -2/15?
0.1
Let c = -4326/5 - -866. What is the nearest to 1 in -1/2, -1/4, c, 16?
c
Let u = -783 - -782.9. Let v = 0.16 + -0.23. Let f = -8.07 - v. Which is the closest to u? (a) 1/5 (b) 3/2 (c) f
a
Let q = 0.095 - 1.095. Which is the closest to q? (a) -0.07 (b) -0.1 (c) 0 (d) -4
b
Let z = 1314 - 1229. Which is the nearest to -0.1? (a) 4/5 (b) 0.3 (c) z (d) 0
d
Let t = 1.0264 - 0.0264. What is the closest to t in 72, -0.2, -3, -1?
-0.2
Let p = -238.183 + 238. Let q = p - -0.083. What is the nearest to q in -3/2, 0.18, -0.5?
0.18
Let s = -239 + 237. Let g be (-11 - -10)*1*5. Which is the closest to -3? (a) 5 (b) g (c) s
c
Let m = 29/2 - 15. Let h = -49.477 + 0.077. Let g = h + 49. Which is the nearest to m? (a) -0.05 (b) -4 (c) g
c
Let n be ((-12)/10)/(6/(-45)). Suppose -n*s = 4 + 14. Let z be (46/10 - 2) + -2. What is the nearest to s in 1/3, z, -3?
-3
Let p = -6.7 - -7. Let k be (0/(1 + 0))/2. Let u = 0.046 - -0.954. Which is the nearest to -1? (a) k (b) p (c) u
a
Let k = -1004.2 - -1004. Which is the closest to k? (a) -5 (b) -1/3 (c) 0.5 (d) 2
b
Let k = -13 + 12. Let t = -33 + 36. Which is the nearest to 0? (a) -0.1 (b) k (c) t
a
Let p = 297 - 3269/11. Let r = 3/13 + -54/65. Which is the closest to p? (a) 4 (b) -1/4 (c) r
b
Let d = 361/64 + 38005/1216. Let o = 37 - d. What is the nearest to 2/3 in o, -1/2, 3?
o
Let y = -466 - -465. What is the nearest to y in 0.5, -5/4, 4, 3?
-5/4
Let o = 5 + -6. Let x = -29 - -28. Which is the closest to x? (a) o (b) -0.06 (c) 4
a
Let l = 5/6 - 4/3. Let w = 0.1 + -0.3. What is the closest to 0 in 1, w, l?
w
Let r = -19 + 18.9. Let h = 1031/28 + -149/4. Which is the closest to r? (a) 2 (b) h (c) 5
b
Let m(f) = 4*f + 12. Let l be m(-11). Let a = l + 191/6. Let c = -0.5 - 0. What is the nearest to -2 in c, -2, a?
-2
Let x = 166 + -166.1. Let z = -5.6 - -0.6. Let i = 31 - 31.2. Which is the closest to x? (a) i (b) z (c) -0.3
a
Suppose 0 = 65*x - 61*x + 8. Let f = 37/4 + -9. Which is the closest to x? (a) -2/17 (b) 4 (c) f
a
Let w = -7.35 - 0.35. Let d = w + 6.7. What is the closest to d in -4, -7, -1?
-1
Let u = -10 - -10.2. Let m = 2.6 - 2.1. Which is the nearest to -0.1? (a) u (b) m (c) 0.4
a
Let v = -2.3 - -1.1. Let y = 30.8 - 28. Let k = v - y. Which is the closest to 2/5? (a) k (b) -0.5 (c) 0.1
c
Suppose -4 = -u + 2*i - 10, 0 = 4*u + 4*i. What is the closest to u in 2, -3/8, 43?
-3/8
Let o = -16 + -14. Let x be (-45)/o - (-1*1 + 3). What is the nearest to -0.1 in 1, 2/9, x?
2/9
Let a = 0.1 - -0.1. Suppose -4*z + m = -0*m, 5*z + 2*m = 0. Suppose 0 = 3*n - 5*g - 3, -3 = -3*n - z*g + 4*g. What is the nearest to n in -0.3, -2/17, a?
a
Let n be -1*(-208)/44 + -5. What is the closest to -0.1 in 0.02, n, 3/5?
0.02
Let j be 1/(90/41) - 0. Let m = 2/45 + j. Let g(c) = -c**2 + 12*c + 66. Let a be g(16). What is the closest to a in 3, m, -0.5?
3
Let p = -1296.6 + 1299. Which is the nearest to p? (a) 1 (b) 1/2 (c) 5
a
Let l = 11 - 10.87. Let j = -0.09 + l. Let f = j + -0.04. Which is the closest to f? (a) 2/5 (b) -1/3 (c) 1
b
Let s = 84 - 88. Let o(k) = k - 13. Let r be o(6). Let q be (-3)/(r + 1)*-2. Which is the closest to q? (a) 4 (b) -3 (c) s
b
Suppose 2*n + 0*w = -3*w + 69, -4*w = -3*n + 95. Let o = 2262187/67028 + 2/16757. Let j = o - n. Which is the nearest to -1/4? (a) -1/10 (b) 1 (c) j
a
Let c = 0.17 + -2.17. Let j be 0*4/(-8) + 0. Let m be (0 + j)/(1 + 1). What is the nearest to m in c, 2/7, -3?
2/7
Let t = 1.308 + -1.408. Which is the nearest to t? (a) 0 (b) -2 (c) -0.163 (d) -3
c
Let u = 3001/18 - 335/2. What is the closest to -0.3 in u, 2/9, -5/3?
u
Suppose 3*u + 66 = u. Which is the nearest to -4/3? (a) 0.1 (b) u (c) -0.4 (d) -3
c
Let w be (63/12 - 4) + (-2)/8. Let m = -0.6 - -0.7. What is the nearest to -3 in w, 0.02, m?
0.02
Let j be 14/49 + 972/(-21). Which is the nearest to j? (a) -5 (b) 0.3 (c) -0.5
a
Suppose 3 - 1 = -v. Let y be ((-21)/(-112))/((-2)/(-8)). What is the nearest to 0.1 in y, 1, v?
y
Let p = 35 - 31. Let q be (1 + -1)*(p + 72/(-16)). Which is the closest to -0.3? (a) -2/25 (b) -5 (c) q
a
Let k = 0 + 5. Let w be (-3)/15 + (-7)/15. Let p = -1 - -2. Which is the closest to w? (a) p (b) 2/3 (c) k
b
Let z = -0.19 + 0.2. Let x be (-18)/21*3/(-27)*-14. Which is the nearest to 3/2? (a) x (b) 5 (c) z
c
Let p = -8 + 11. Let h = 1829 - 1830. What is the closest to h in 2/11, p, -2/15?
-2/15
Let z be 28/56 - (19/(-10) + 2). Which is the closest to z? (a) -0.2 (b) -4 (c) 5 (d) 0.4
d
Let u be ((-1)/(-11))/(2/(-2)). Suppose 7 = -5*t + 87. Let l be (-6)/t*(-14)/(-21). Which is the nearest to l? (a) 4 (b) 2/3 (c) u
c
Let l be (-38)/84 + (-4)/(-14). Let r be ((-1036)/(-592))/(1 + 6). Which is the nearest to l? (a) r (b) -5 (c) 5/2
a
Let i = -0.849 + 0.649. Which is the nearest to i? (a) 3 (b) 1 (c) 0 (d) 9
c
Let t = -119 - -116. Let g = 4.2 + -4. Let b = g + -0.3. What is the closest to b in -5, t, 2/13?
2/13
Suppose 6*f - 14 = 8*f - 3*h, 0 = 5*f + 4*h - 11. Which is the closest to 0? (a) 0.2 (b) -0.1 (c) -3/2 (d) f
b
Let d = 51/35 - 13/7. Let u(y) = -y**2 - 3*y + 3. Let p be u(-3). Let t = -48.8 + 48.7. Which is the closest to t? (a) p (b) 0.4 (c) d
c
Let h(x) = -29*x**2 - 3*x + 2. Let k be h(1). Let n be (k/(-45))/((-8)/3). Which is the nearest to n? (a) 0 (b) 2 (c) 1
a
Let t = 2.0243 + -0.0243. Let d = 7.3 + -7. What is the closest to t in -1, d, 6?
d
Suppose -4*i - 2 = 2. Let z be (-46)/39 - 6/36*-8. What is the closest to -7 in z, i, 0.1?
i
Suppose 0 = 5*i - 9*i - 16. Let w be 6/(-15)*(-2)/i. Let z = 3 - 3. What is the closest to -1 in -0.5, z, w?
-0.5
Suppose 0 = 2*o + l - 8, -4 = 2*o + 3*l - 12. Let n be -2 - o/32*-2*4. Let h = 0.3 + -0.1. What is the closest to -0.2 in 0.3, h, n?
h
Let m = -66/13 - -488/91. Which is the nearest to 2? (a) -0.4 (b) 0.2 (c) m
c
Let g(w) = -3*w**3 + 3*w**2 + 10*w - 12. Let l be g(2). What is the nearest to -1/3 in 0.1, -0.4, 0.4, l?
-0.4
Let r be (10 + -9)*5/1. Let s = 15452/25 + -618. Which is the closest to 2/3? (a) s (b) -2 (c) r
a
Let y = -162 - -159. Let i = -0.03 - 0.37. Let h(v) = -v + 3. Let j be h(0). What is the nearest to 2 in i, y, j?
j
Let l = 260 - 257. Which is the nearest to 8/7? (a) l (b) -5 (c) 0.4 (d) 4
c
Let w = 256 + -3330/13. Let o = 797/20 - 157/4. What is the nearest to 1 in w, -3, o?
o
Let x = 3/332 + -1349/2324. Let p = -11 + 3. Let n = p - -5. Which is the closest to 0.2? (a) x (b) -0.1 (c) n
b
Let r(t) = t**2 - 7*t + 12. Let x be r(6). Let s = -9 + x. Let w = 0.09 + 0.21. Which is the nearest to s? (a) w (b) -0.3 (c) -1/4
b
Let q = -0.9 + 5.9. Let t = 4.9 - q. Let s = 3.04 - 3. Which is the closest to 2/7? (a) s (b) 0.3 (c) t
b
Let q = -704 - -703. Let i be 46/84 - 2/6. Let f = 1/21 - i. Which is the closest to q? (a) -0.4 (b) f (c) 2
a
Let r be 2 + ((-2)/16 - (-483)/(-168)). What is the closest to r in 2/9, -5, 0.5?
2/9
Let p = -0.08 - -0.28. Let t be (-23)/55 + (-24)/132. Let a = -0.37 + -2.63. What is the nearest to p in a, t, 0.4?
0.4
Let s = -3496 + 160823/46. Let q = 1/69 + s. What is the nearest to 0.2 in q, -2, 4?
q
Let r be (-2 + 0)/(-2 + -1). Suppose -12*h - 4*w - 23 = -9*h, -h - 4*w = 13. Which is the closest to r? (a) -3/2 (b) h (c) 6
a
Let u = 25.7 - 1.7. Let b = -24 + u. What is the closest to 0 in b, -4, -3/5?
b
Let n(d) = -d**3 + 14*d**2 - 14*d + 11. Let k be n(13). Let v be (-1)/(-10)*(3 - 15). What is the closest to 2 in k, 5/4, v?
5/4
Let x = -2249 - -2249.1. Which is the closest to x? (a) 3/2 (b) 1 (c) -16 (d) -1
b
Let h be (-1)/3*2 - 0. Let s = -1/3 + -1/6. What is the closest to h in 1/2, s, -5?
s
Let p be 5/10 - 133/76. Which is the closest to p? (a) -2/5 (b) 1/4 (c) -1/8
a
Let f = 237/4 + -59. Let t = -100.6 + 98. Let k = t - -3.1. Which is the nearest to f? (a) -2/19 (b) -5/4 (c) k
c
Let x = -8.95 - -14.46. Let r = x + 15.43. Let w = r - 21. What is the closest to 0 in -2/9, w, -2?
w
Let m = -21/22 + 5/11
|
{
"pile_set_name": "DM Mathematics"
}
|
125772.74
What is 21974190305323 take away -1?
21974190305324
What is 1.074584517909 plus 533?
534.074584517909
What is 724.792034 + 0.42212?
725.214154
What is the distance between -0.2 and -3.51428242590753?
3.31428242590753
Calculate 413014757852 + 6.
413014757858
5223643+-23061004
-17837361
Calculate 10 - -23240773.65693.
23240783.65693
What is -8.262566666 - 21?
-29.262566666
What is 0.1154219649091 minus -3?
3.1154219649091
Add together -48799 and -1.975583196.
-48800.975583196
What is -5727854056.555 less than -1.5?
5727854055.055
Work out -0.06450663 - -20467.5.
20467.43549337
What is 1 + -87808045287?
-87808045286
Add -3503 and 0.00440925506.
-3502.99559074494
Work out 31 + -5.098969373.
25.901030627
Put together -9499351 and 30076.
-9469275
Add -8017032.301 and -8.
-8017040.301
157075 + 168808.05
325883.05
Total of 1024809 and -113281.
911528
Add together -630970.631797 and -3.
-630973.631797
What is -72117576 less than -332190?
71785386
Work out -0.0328373 + -0.0121317.
-0.044969
0.0057 + 306491674
306491674.0057
What is the distance between 3 and 215029933019718?
215029933019715
Add 6.58087 and -276569765.
-276569758.41913
-6327378134 + 1.601
-6327378132.399
0.19393 - -42394.28
42394.47393
3.107657+6.07612
9.183777
What is the distance between -1 and -4.259042784367?
3.259042784367
Work out -44 - -481881992692.
481881992648
Calculate 2 + -441987892.27.
-441987890.27
Subtract -0.0119 from -0.0670534434.
-0.0551534434
Put together 1019961.95 and -2.881524.
1019959.068476
Add together -56404986 and -7.243.
-56404993.243
What is the distance between -71535201436 and -5.7?
71535201430.3
What is 2.392333 + 3.365812?
5.758145
Work out 16.9 - 22177792.71.
-22177775.81
What is -4059084451 - 0.45?
-4059084451.45
What is 135809 less than 8.05224?
-135800.94776
14325067021 - -1.243
14325067022.243
What is 284682.61 minus 10032491?
-9747808.39
What is 4348 - -9.279301169?
4357.279301169
Calculate 117 - -418.72807331.
535.72807331
What is 388127 - -539.144?
388666.144
Work out 0.68453 - 567660.
-567659.31547
Put together -23881923 and -19117.
-23901040
What is -85 minus -889130.9442?
889045.9442
What is -33.4 take away 123465646?
-123465679.4
What is 7.0697824 take away 0.0258?
7.0439824
Work out 1.2 - 25030.505668.
-25029.305668
What is 9906735.168 minus -0.5?
9906735.668
Add 0.251135017 and -1.98.
-1.728864983
Put together -0.812 and 1217891.
1217890.188
What is -5610.82286071 take away -0.4?
-5610.42286071
What is the distance between -24727639.734196 and -2.1?
24727637.634196
What is 2822.35 take away 26242592?
-26239769.65
What is -1935.906 - 18671?
-20606.906
Work out 15 + 1937297.3756164.
1937312.3756164
Add together 111 and 191304085738.
191304085849
Total of -377087496 and 27519.
-377059977
What is 0.079 take away 1162927.0618?
-1162926.9828
Total of 55263425093 and -19.
55263425074
243761617+9.71
243761626.71
What is 4783336472 + -0.013?
4783336471.987
4.830018745 - 319
-314.169981255
Calculate 2360528 + -147891.1.
2212636.9
0.03+-427558525.4406
-427558525.4106
What is 7270364.4 plus -0.047896?
7270364.352104
What is -423608 + 9.849715?
-423598.150285
Put together 7272.3414 and 5901.207.
13173.5484
Put together 145455585 and 335.
145455920
What is 12.75771 - -40135056?
40135068.75771
Work out -0.24 - -1.3091690472.
1.0691690472
Subtract 0.260225953 from -48.93.
-49.190225953
Calculate -648340672 - -710.
-648339962
-846451 + -0.47008
-846451.47008
What is 34.0358 take away 4987.2921?
-4953.2563
Put together 67.79 and 18074602.
18074669.79
What is 2 less than -2573416023.4?
-2573416025.4
Put together -274786 and -46309242.
-46584028
236147 - -0.0266293745
236147.0266293745
Put together 0.08267000958 and 493.
493.08267000958
Calculate 10099 + -0.6128103.
10098.3871897
What is -0.06 minus 86007652061764?
-86007652061764.06
147 - 0.13215464509
146.86784535491
Work out 16.48715 - 1.97778493.
14.50936507
Subtract 18 from 0.3924945264166.
-17.6075054735834
Calculate 225 - 1701.4380495.
-1476.4380495
Add 0.41144 and -113398816.
-113398815.58856
27291 + -48.43005
27242.56995
Total of 10653725965 and 0.2.
10653725965.2
What is 0.0725 minus 42484373?
-42484372.9275
Add -3 and -504924092934.
-504924092937
What is -28 - 372836678111?
-372836678139
What is -14692441249 less than -40.66?
14692441208.34
Subtract 3748850.8 from 0.098.
-3748850.702
Calculate 0.126924352 - -1339.1.
1339.226924352
Subtract -0.1123 from 5962039014.
5962039014.1123
-124765194846 + -14
-124765194860
Put together -0.4 and -15801273.8178223.
-15801274.2178223
Calculate -19 - 2521353964.707.
-2521353983.707
What is the difference between -924560 and 406.65754?
924966.65754
Work out 1.4532563 - 31962.
-31960.5467437
What is -0.045499 - -4583997388?
4583997387.954501
What is -4718.33 less than -2523033.2?
-2518314.87
Add together 3 and -4.400362649.
-1.400362649
What is 14372835855932 + 3?
14372835855935
What is -9451205912663 - 0.18?
-9451205912663.18
Work out 2.6 - -411947070333.
411947070335.6
Total of 0.3 and -35298918046243.
-35298918046242.7
What is -5.54743 less than -242052.54?
-242046.99257
Total of -9959478374864 and -5.
-9959478374869
What is -8.70036046 less than -10?
-1.29963954
What is the difference between -4148480438021 and -1?
4148480438020
What is 3877 minus -41249205964?
41249209841
What is 111581.19 - -246996?
358577.19
What is -168.4015 take away 12989046?
-12989214.4015
Work out -4.6 - -0.710637581727.
-3.889362418273
What is 0.0033 take away 112345724?
-112345723.9967
Subtract -22945.153 from -40411.
-17465.847
What is the distance between -144.7 and -18279248.1?
18279103.4
271470105.22+-0.1
271470105.12
What is the distance between -0.342 and -831462277.2?
831462276.858
-119761.432 - -11.7886
-119749.6434
What is -1934578221 minus 42.7?
-1934578263.7
-161271+655674
494403
What is -323569 plus -13870284?
-14193853
-0.57579 - 0.856982168
-1.432772168
What is 152.46 minus 20494669?
-20494516.54
Subtract -5783039162 from 1429.
5783040591
Total of 0.33 and 9734216320.
9734216320.33
What is -28795013125 take away -2.1?
-28795013122.9
853636 - 14300.83
839335.17
Add 8416.3 and 171.6291.
8587.9291
What is -6033309718244 take away -6?
-6033309718238
3315327+11568367
14883694
Add together 143347.1168 and -6.
143341.1168
What is the distance between -0.223616 and 70620.3895?
70620.613116
Add together 0.4 and 805792919771.
805792919771.4
Calculate 6854.43901 + 3312.7.
10167.13901
Put together 20630197 and 4182964.
24813161
Sum 18.4521805244 and 232.
250.4521805244
What is the difference between 203351.5154 and 105?
203246.5154
Sum 71917458982 and -2.
71917458980
What is 13830034 + -194.7?
13829839.3
What is -61017262.78 minus 3?
-61017265.78
-0.09324083 + 66.56
66.46675917
Sum 0.2 and -1484.163249198.
-1483.963249198
Total of 19 and 98732646.90766.
98732665.90766
Add -112.9197604 and 0.04874.
-112.8710204
What is 209250806 take away -8190.7?
209258996.7
Calculate 0.128068 + 0.3575982.
0.4856662
Subtract 251114338.6 from -27.2.
-251114365.8
What is 0.24578 plus 463668.274?
463668.51978
Total of -757540309520 and -27.
-757540309547
What is 0.071040223 plus 10611?
10611.071040223
2972+-1519092.799
-1516120.799
Add -429973.4043 and 0.3189.
-429973.0854
Work out 0.91049 - 656.039.
-655.12851
Subtract 0.84626 from -4.2812.
-5.12746
Total of -14.2393 and 11365535644.
11365535629.7607
6417291707+85
6417291792
Add together 4 and -254306766.0603.
-254306762.0603
Subtract -2998 from -45269931.
-45266933
What is -218217305 minus -20.147?
-218217284.853
Put together 72 and -3481395175.
-3481395103
-128967149788 + -0.03
-128967149788.03
-1250510662756.2 - -4
-1250510662752.2
4 + 628242962674
628242962678
Add together 880.84606 and 919.
1799.84606
Calculate 26.25 + -0.2113179.
26.0386821
What is the distance between -0.4445096 and 2008.331?
2008.7755096
Put together -0.05 and 83611200.3276.
83611200.2776
Add 25033.9198 and 119.
25152.9198
What is 0.03 + -2075485103?
-2075485102.97
What is -3146.57028342 less than -0.5?
3146.07028342
Total of -0.25 and 172175390559.
172175390558.75
Total of -79976365.521 and -36.
-79976401.521
What is 5.2031522 minus -6246?
6251.2031522
What is 2602438500 plus 103467?
2602541967
302436285 - -0.043215
302436285.043215
Total of 41.7136509 and 2749
|
{
"pile_set_name": "DM Mathematics"
}
|
2.9 * 0
0
What is 57.8 times 6947?
401536.6
-5923*970
-5745310
55737*-193.8
-10801830.6
4*2402.944
9611.776
Multiply -21101 and -8.065.
170179.565
0.021648*-401
-8.680848
Work out -55.492974 * 2.
-110.985948
-11132879 times -2
22265758
What is the product of -50561763 and -0.1?
5056176.3
Multiply 70057.361 and -12.
-840688.332
-607407*-1.1
668147.7
Multiply 1741.91 and 211.
367543.01
220803 * 155
34224465
Work out -33 * 62294.
-2055702
Product of -1457.368 and -0.3.
437.2104
What is the product of 1.6 and -0.0513568?
-0.08217088
What is the product of -3 and -19814.62?
59443.86
What is the product of -0.36 and -1349634?
485868.24
What is 243 times -16.635?
-4042.305
0*-53904.706
0
What is 114383.611 times 5?
571918.055
What is the product of 39005204 and -0.27?
-10531405.08
What is the product of 0.00444 and -3575?
-15.873
-253708371 * 3
-761125113
Multiply 6466 and -197.
-1273802
Product of 2267 and 457285.
1036665095
Product of 0.04 and -4953580.
-198143.2
What is the product of -31 and -6.2964?
195.1884
Work out -43 * -253936.
10919248
Calculate -0.044026709*2.
-0.088053418
Multiply -14996 and -34287.
514167852
Multiply -0.2 and 69418008.
-13883601.6
Product of 26 and 0.0630587.
1.6395262
What is the product of -757.91 and -256?
194024.96
Multiply 0.06473 and -3793.1.
-245.527363
What is the product of 411164.7 and 0.03?
12334.941
-112.824*315.6
-35607.2544
11*-425.67
-4682.37
0.068 * -957.986
-65.143048
Work out 181 * -2.42975.
-439.78475
Calculate -401.7*6540.
-2627118
Calculate -0.23*0.295833.
-0.06804159
Calculate -2*239405.9.
-478811.8
-2799 * 4364
-12214836
-2*-0.058879498
0.117758996
Multiply 18.26657 and 0.
0
Multiply 4 and -2167.721.
-8670.884
Product of -1.3 and 531228.74.
-690597.362
Work out -6333461 * 0.9.
-5700114.9
Calculate 264881*-325.
-86086325
Calculate -16803*124.
-2083572
Work out -77 * -298581.
22990737
Multiply -5326 and 0.2092.
-1114.1992
Calculate 76649*-97.
-7434953
-0.1 times 1718293
-171829.3
-40212 * 18
-723816
What is -28173 times -1822?
51331206
36.864 * -1873
-69046.272
Calculate 0.05073*1.199.
0.06082527
What is 0.149 times 77574?
11558.526
0.4 times -8237091
-3294836.4
Calculate -2.23*-111342.
248292.66
Product of 0.11066 and 2.96.
0.3275536
1426 * 5236
7466536
-3776*-0.3413
1288.7488
Product of 139723 and 269.
37585487
What is -615.2215 times -0.1?
61.52215
1392 * -32486
-45220512
What is the product of -0.06848 and -0.14?
0.0095872
Product of -86850.3 and 12.66.
-1099524.798
Product of 0.2956509 and 26.
7.6869234
Multiply 92.409409 and 0.07.
6.46865863
Calculate -44*24832.8.
-1092643.2
3593961 times -0.4
-1437584.4
Product of 18197829 and -5.
-90989145
What is -19.13735 times 0.8?
-15.30988
Work out 0.1977 * -2757.8.
-545.21706
Work out -0.956807 * 96.
-91.853472
What is the product of -34 and -22792419?
774942246
-18262 times -416
7596992
Product of 2833 and 6953.
19697849
-0.2*23263869
-4652773.8
What is the product of 0.437 and 76.1982?
33.2986134
938 * -27.69
-25973.22
Work out -27 * 0.2216236.
-5.9838372
-0.02 times 68282553
-1365651.06
Product of 3.85 and 0.036322.
0.1398397
-0.576 * -0.02347
0.01351872
What is -4.37542 times 69?
-301.90398
Product of -21 and 17914310.
-376200510
-2764 times 5327
-14723828
Product of 3.59 and -65786.
-236171.74
9.2*-21403.7
-196914.04
-2483.442 times 12
-29801.304
What is 17013 times -21988?
-374081844
What is the product of -0.068409 and 0.3?
-0.0205227
Calculate 0.05*-40.07641.
-2.0038205
Calculate 63512.8*-17.
-1079717.6
Work out 2454 * 4775.4.
11718831.6
-1071.57 * 2920
-3128984.4
What is -4133557 times -12?
49602684
What is the product of 7 and -1994933?
-13964531
-26 times 55.6538
-1446.9988
-3 times -69.14899
207.44697
What is 30 times 225.5393?
6766.179
What is the product of -0.013304 and 4?
-0.053216
Work out -0.043 * -201522.
8665.446
Product of -30572 and 47.81.
-1461647.32
Calculate -1*-1914.7029.
1914.7029
-14563*-0.1183
1722.8029
11*18.013214
198.145354
-0.06 * -14736658
884199.48
0.6710816 times -0.45
-0.30198672
Work out 3 * 8196.299.
24588.897
-0.1 * -6881.879
688.1879
Calculate 498*0.065.
32.37
1379.096 * 0.3
413.7288
-0.129*29670
-3827.43
-0.28 times -0.7041769
0.197169532
401304 * -5
-2006520
Multiply 309000195 and 0.5.
154500097.5
-25068.4 * 1875
-47003250
-0.06*-279915
16794.9
Product of 35.8 and -1664.
-59571.2
-0.092057 times 3243
-298.540851
Product of 7935.814 and -2.
-15871.628
-49700453*3
-149101359
Work out 46.08 * 20499.
944593.92
-5*-17.70029
88.50145
Work out -0.0339635 * 0.33.
-0.011207955
What is the product of 4 and -0.81652943?
-3.26611772
Product of -474.3 and 0.02188.
-10.377684
-12.3021*-0.246
3.0263166
Product of -135.83 and 1370.
-186087.1
Multiply -0.11 and -2328818.8.
256170.068
-16009696 times 0.01
-160096.96
Multiply -1.2320466 and 59.
-72.6907494
17832*0.036
641.952
What is 30323.52 times -4?
-121294.08
Multiply -191 and 26.831.
-5124.721
Work out 980.3704 * 0.4.
392.14816
Work out -0.06 * 2.761992.
-0.16571952
What is the product of 6 and -80596702?
-483580212
What is 2467164 times -97?
-239314908
-184.8374*-928
171529.1072
Work out 831 * 3.138.
2607.678
What is the product of 7678.8 and -127?
-975207.6
Work out -0.5 * 24521.
-12260.5
What is the product of 1 and -1103991.6?
-1103991.6
Calculate -4*60.48646.
-241.94584
Product of 386323881 and -0.2.
-77264776.2
What is the product of 1.512 and -29243?
-44215.416
0.0476079 times -0.1
-0.00476079
39474 * 15.574
614768.076
What is -1302.6668 times -3?
3908.0004
What is -5.148414 times 63?
-324.350082
Work out -0.264768486 * 0.
0
What is 0.7 times 0.022561?
0.0157927
Product of -0.1 and -2.0707514.
0.20707514
What is the product of 1 and 2037447.21?
2037447.21
Product of 320293 and 1190.
381148670
2191263*-142
-311159346
What is 162100990 times 5?
810504950
Product of -7 and 20021.0899.
-140147.6293
What is the product of -3.5 and 3.5743?
-12.51005
Multiply 0.03 and -7629.87.
-228.8961
What is the product of 0.42 and -3.003?
-1.26126
Calculate 0.83*-1399836.8.
-1161864.544
Multiply -11.92 and -9720.
115862.4
-10894 times -4357
47465158
Multiply 26955.1 and 0.12.
3234.612
-111251.66 * -3
333754.98
Product of 1230 and 206089.
253489470
Work out 0.0007 * -183200.
-128.24
What is 939 times 0.009?
8.451
10 times -8670093
-86700930
Work out -319875 * -192.
61416000
440 times 0.0216329
9.518476
Product of 5 and 11522001.
57610005
What is the product of 3 and 0.1243687?
0.3731061
Work out -12 * 2050579.
-24606948
Calculate 3748044*25.
93701100
-0.5774704 * -4
2.3098816
0.024 * 0.109357
0.002624568
-3.66 * -6851
25074.66
-19.4*-21.829
423.4826
Product of 26.149 and -2.77.
-72.43273
Work out 0.5 * -25766596.
-12883298
Work out 0.704 * 433.8.
305.3952
0.06403 * 8184
524.02152
Multiply 0.04832858 and -0.2.
-0.009665716
What is the product of 132 and -731969?
-96619908
-19.6566 times 2.17
-42.654822
2595067 times 0.33
856372.11
What is 1.8 times 198111?
356599.8
Calculate 1500490*-6.
-9002940
-382.594*-0.055
21.04267
Product of -1.45469 and -1691.
2459.88079
-2661598*-8.9
23688222.2
Work out 1 * 751842.
751842
Work out 0.9 * 29890.9.
26901.81
-5.2895*233.1
-1232.98245
4*105156.51
420626.04
Product of 0.054795 and -17.74.
-0.9720633
Calculate 19181*-430.
-8247830
-2283375174 * -5
11416875870
What is 50555 times 0.27237?
13769.66535
Multiply 3916 and 1077.58.
4219803.28
Work out 529310 * -114.
-60341340
Calculate -5041*4.5615.
-22994.5215
Multiply 4.71 and -111.5.
-525.165
What is the product of 0.5 and -1.185673?
-0.5928365
0.06 times -9024.08
-541.4448
Calculate 0.0262*-34677.
-908.5374
Multiply 0.1 and 3899109.
389910.9
Calculate 1331678739*-5.
-6658393695
13518 * -0.28
-3785.04
Multiply -90.9 and -0.0658.
5.98122
Calculate -1379634*23.
-31731582
Work out 0.01 * -143201.
-1432.01
Calculate -199*-10.3228.
2054.2372
-9971 times 215
-2143765
0.1*-4224.61
-422.461
What is the product of -0.033036 and -9363?
309.316068
14402.31664*-4
-57609.26656
What is the product of 448695.5 and -1?
-448695.5
Product of 209004 and 78.
16302312
-879713.8 * -0.08
70377.104
-5 times 0.1071649
-0.5358245
Product of 3 and -4.215516.
-12.646548
-112.59467*5
-562.97335
-0.062 * 647913
-40170.606
1.5 * 270.255
405.3825
Work out -106320 * 0.0059.
-627.288
Calculate -1*15513915.
-15513915
Work out 13752 * -0
|
{
"pile_set_name": "DM Mathematics"
}
|
361*h - 11
What is the i'th term of 108, 90, 54, -6, -96, -222, -390, -606?
-i**3 - 3*i**2 - 2*i + 114
What is the b'th term of -147, -184, -225, -270, -319, -372?
-2*b**2 - 31*b - 114
What is the q'th term of 55, 52, 47, 40, 31?
-q**2 + 56
What is the b'th term of -58, -81, -130, -217, -354, -553, -826, -1185?
-2*b**3 - b**2 - 6*b - 49
What is the p'th term of 33, 67, 87, 87, 61, 3?
-p**3 - p**2 + 44*p - 9
What is the l'th term of 65, 88, 111, 134?
23*l + 42
What is the t'th term of 27, 34, 37, 36, 31?
-2*t**2 + 13*t + 16
What is the v'th term of -66, -63, -74, -105, -162, -251, -378?
-v**3 - v**2 + 13*v - 77
What is the v'th term of 23, 31, 43, 59, 79, 103, 131?
2*v**2 + 2*v + 19
What is the m'th term of -180, -238, -288, -324, -340, -330, -288?
m**3 - 2*m**2 - 59*m - 120
What is the q'th term of -53, -96, -117, -104, -45, 72, 259?
2*q**3 - q**2 - 54*q
What is the p'th term of 226, 219, 212, 205?
-7*p + 233
What is the i'th term of 149, 268, 399, 548, 721, 924, 1163?
i**3 + 112*i + 36
What is the c'th term of -747, -749, -751, -753, -755?
-2*c - 745
What is the a'th term of 103, 162, 221?
59*a + 44
What is the h'th term of -53, -236, -547, -986, -1553, -2248, -3071?
-64*h**2 + 9*h + 2
What is the o'th term of -41, -110, -179?
-69*o + 28
What is the q'th term of -25964, -25965, -25966?
-q - 25963
What is the d'th term of 346, 375, 418, 481, 570, 691?
d**3 + d**2 + 19*d + 325
What is the j'th term of -47, -49, -51?
-2*j - 45
What is the l'th term of -1164, -1165, -1166, -1167, -1168, -1169?
-l - 1163
What is the o'th term of 7, 8, 17, 40, 83, 152, 253, 392?
o**3 - 2*o**2 + 8
What is the c'th term of -1926, -3856, -5790, -7728?
-2*c**2 - 1924*c
What is the p'th term of -15, -51, -125, -249, -435, -695, -1041, -1485?
-2*p**3 - 7*p**2 - p - 5
What is the c'th term of -3, -17, -27, -33?
2*c**2 - 20*c + 15
What is the q'th term of -113, -103, -91, -77, -61?
q**2 + 7*q - 121
What is the t'th term of -30, -42, -20, 54, 198?
3*t**3 - t**2 - 30*t - 2
What is the j'th term of 57, 94, 191, 378, 685, 1142, 1779, 2626?
5*j**3 + 2*j + 50
What is the r'th term of 1169, 1171, 1173, 1175, 1177, 1179?
2*r + 1167
What is the k'th term of 833, 1666, 2499?
833*k
What is the f'th term of -966, -984, -1028, -1110, -1242, -1436?
-2*f**3 - f**2 - f - 962
What is the t'th term of 94, 95, 96, 97?
t + 93
What is the n'th term of -140, -276, -390, -470, -504, -480, -386?
2*n**3 - n**2 - 147*n + 6
What is the d'th term of -2965, -5933, -8901, -11869, -14837?
-2968*d + 3
What is the r'th term of -19, -30, -57, -106, -183, -294?
-r**3 - 2*r**2 + 2*r - 18
What is the i'th term of -21, -49, -97, -171, -277, -421?
-i**3 - 4*i**2 - 9*i - 7
What is the t'th term of 3, -12, -29, -48, -69, -92?
-t**2 - 12*t + 16
What is the q'th term of 161, 619, 1361, 2381, 3673?
-q**3 + 148*q**2 + 21*q - 7
What is the j'th term of 34, 4, -40, -104, -194, -316, -476?
-j**3 - j**2 - 20*j + 56
What is the t'th term of -12, 3, 26, 57, 96?
4*t**2 + 3*t - 19
What is the q'th term of 96, 98, 102, 108, 116, 126?
q**2 - q + 96
What is the p'th term of 128, 135, 142, 149, 156, 163?
7*p + 121
What is the h'th term of 120, 101, 68, 15, -64, -175, -324?
-h**3 - h**2 - 9*h + 131
What is the p'th term of -206, -864, -1974, -3536, -5550?
-226*p**2 + 20*p
What is the l'th term of 86, 38, -10, -58, -106, -154?
-48*l + 134
What is the h'th term of 1118, 1116, 1114, 1112, 1110?
-2*h + 1120
What is the y'th term of 2032, 4062, 6092, 8122, 10152?
2030*y + 2
What is the i'th term of 255, 254, 253, 252, 251, 250?
-i + 256
What is the a'th term of 23, 156, 517, 1220, 2379, 4108?
19*a**3 + 4
What is the o'th term of -173, -172, -177, -194, -229, -288, -377, -502?
-o**3 + 3*o**2 - o - 174
What is the s'th term of 5846, 5847, 5848, 5849, 5850?
s + 5845
What is the p'th term of -7, 1, 13, 23, 25?
-p**3 + 8*p**2 - 9*p - 5
What is the c'th term of 14, -33, -126, -277, -498?
-2*c**3 - 11*c**2 + 27
What is the p'th term of 25, 32, 1, -86, -247, -500?
-3*p**3 - p**2 + 31*p - 2
What is the u'th term of 1302, 1311, 1322, 1335?
u**2 + 6*u + 1295
What is the i'th term of 26, 130, 304, 548, 862, 1246?
35*i**2 - i - 8
What is the z'th term of -406, -404, -402, -400, -398, -396?
2*z - 408
What is the o'th term of 117, 113, 109, 105?
-4*o + 121
What is the h'th term of 71, 141, 211, 281, 351?
70*h + 1
What is the v'th term of -92, -101, -110, -119, -128?
-9*v - 83
What is the w'th term of -609, -612, -613, -612?
w**2 - 6*w - 604
What is the x'th term of 106, 150, 184, 202, 198?
-x**3 + x**2 + 48*x + 58
What is the n'th term of 54, 111, 168?
57*n - 3
What is the v'th term of -53, -50, -47, -44, -41, -38?
3*v - 56
What is the j'th term of 71, 282, 631, 1118?
69*j**2 + 4*j - 2
What is the p'th term of -177, -181, -199, -237, -301, -397, -531, -709?
-p**3 - p**2 + 6*p - 181
What is the q'th term of -4767, -19058, -42883, -76248, -119159?
-q**3 - 4761*q**2 - q - 4
What is the y'th term of 65, 275, 633, 1145, 1817, 2655?
y**3 + 68*y**2 - y - 3
What is the n'th term of 29, 26, 17, 2?
-3*n**2 + 6*n + 26
What is the z'th term of -66, -154, -242?
-88*z + 22
What is the p'th term of -29, -23, -7, 25, 79, 161, 277, 433?
p**3 - p**2 + 2*p - 31
What is the j'th term of 95, 98, 101, 104, 107, 110?
3*j + 92
What is the o'th term of 22, 43, 66, 91, 118, 147?
o**2 + 18*o + 3
What is the r'th term of 27, 64, 125, 210?
12*r**2 + r + 14
What is the t'th term of -5, -10, -19, -32?
-2*t**2 + t - 4
What is the p'th term of 5, 44, 109, 200, 317, 460, 629?
13*p**2 - 8
What is the m'th term of -13, -31, -51, -73, -97, -123?
-m**2 - 15*m + 3
What is the g'th term of 190, 184, 178, 172, 166?
-6*g + 196
What is the w'th term of 49, 49, 45, 37, 25?
-2*w**2 + 6*w + 45
What is the x'th term of -87, -106, -143, -204, -295, -422?
-x**3 - 3*x**2 - 3*x - 80
What is the x'th term of -3, 0, -1, -12, -39, -88, -165?
-x**3 + 4*x**2 - 2*x - 4
What is the h'th term of 22, 44, 82, 136, 206?
8*h**2 - 2*h + 16
What is the m'th term of 398, 818, 1250, 1700, 2174?
m**3 + 413*m - 16
What is the m'th term of 5574, 5571, 5568, 5565, 5562?
-3*m + 5577
What is the l'th term of -100, -103, -106, -109, -112, -115?
-3*l - 97
What is the y'th term of -385, -784, -1183?
-399*y + 14
What is the g'th term of -18, -111, -278, -525, -858, -1283?
-g**3 - 31*g**2 + 7*g + 7
What is the w'th term of -18, -48, -108, -210, -366, -588?
-2*w**3 - 3*w**2 - 7*w - 6
What is the d'th term of -112, -78, -14, 92, 252, 478, 782?
2*d**3 + 3*d**2 + 11*d - 128
What is the p'th term of 22, 99, 226, 397, 606, 847, 1114, 1401?
-p**3 + 31*p**2 - 9*p + 1
What is the b'th term of 1167, 1163, 1157, 1149, 1139?
-b**2 - b + 1169
What is the z'th term of -15, -25, -31, -27, -7, 35, 105, 209?
z**3 - 4*z**2 - 5*z - 7
What is the l'th term of -60, -52, -36, -6, 44, 120?
l**3 - 2*l**2 + 7*l - 66
What is the a'th term of 6, 39, 92, 165, 258, 371?
10*a**2 + 3*a - 7
What is the j'th term of -38, -20, 12, 58?
7*j**2 - 3*j - 42
What is the c'th term of -8, 5, 42, 103, 188, 297?
12*c**2 - 23*c + 3
What is the q'th term of -1611, -3220, -4829, -6438, -8047, -9656?
-1609*q - 2
What is the l'th term of 17, 101, 329, 773, 1505, 2597, 4121?
12*l**3 + 5
What is the h'th term of -47, -100, -155, -212, -271, -332, -395?
-h**2 - 50*h + 4
What is the w'th term of -6129, -6133, -6139, -6147, -6157?
-w**2 - w - 6127
What is the d'th term of 229, 582, 937, 1294, 1653?
d**2 + 350*d - 122
What is the l'th term of 235, 233, 229, 223, 215?
-l**2 + l + 235
What is the g'th term of 33, 39, 49, 63, 81?
2*g**2 + 31
What is the w'th term of -67, -73, -89, -121, -175, -257, -373?
-w**3 + w**2 - 2*w - 65
What is the j'th term of -29, -55, -127, -269, -505, -859, -1355?
-4*j**3 + j**2 - j - 25
What is the z'th term of 247, 238, 239, 256, 295, 362, 463?
z**3 - z**2 - 13*z + 260
What is the j'th term of 49, 50, 53, 64, 89?
j**3 - 5*j**2 + 9*j + 44
What is the c'th term of -26, -42, -58?
-16*c - 10
What is the o'th term of -79, -63, -19, 59, 177, 341, 557?
o**3 + 8*o**2 - 15*o - 73
What is the i'th term of -45, -141, -305, -537, -837, -1205, -1641?
-34*i**2 + 6*i - 17
What is the z'th term of -16, -59, -128, -223, -344?
-13*z**2 - 4*z + 1
What is the l'th term of 105, 195, 269, 327, 369, 395?
-8*l**2 + 114*l - 1
What is the w'th term of 26, 69, 114, 161, 210
|
{
"pile_set_name": "DM Mathematics"
}
|
75, 741, 1083, 1507?
c**3 + 23*c**2 - 2*c + 51
What is the j'th term of 7, 14, 25, 40?
2*j**2 + j + 4
What is the j'th term of 14437, 14436, 14435, 14434, 14433?
-j + 14438
What is the s'th term of 18, -9, -78, -213, -438, -777?
-4*s**3 + 3*s**2 - 8*s + 27
What is the z'th term of -21, -24, -27, -30, -33?
-3*z - 18
What is the q'th term of 2, 31, 98, 221, 418, 707, 1106, 1633?
3*q**3 + q**2 + 5*q - 7
What is the x'th term of -18, 9, 48, 105, 186, 297, 444?
x**3 + 20*x - 39
What is the r'th term of -3586, -3587, -3588?
-r - 3585
What is the d'th term of 26, 4, -24, -58, -98?
-3*d**2 - 13*d + 42
What is the h'th term of 670, 661, 640, 601, 538, 445?
-h**3 - 2*h + 673
What is the o'th term of -19, -60, -171, -388, -747?
-6*o**3 + o**2 - 2*o - 12
What is the h'th term of 80, 152, 214, 260, 284, 280, 242?
-h**3 + h**2 + 76*h + 4
What is the l'th term of -63, -74, -85, -90, -83, -58, -9, 70?
l**3 - 6*l**2 - 58
What is the x'th term of -107, -184, -263, -344, -427, -512, -599?
-x**2 - 74*x - 32
What is the o'th term of -2204, -2192, -2156, -2084, -1964, -1784?
2*o**3 - 2*o - 2204
What is the j'th term of -11, -46, -117, -236, -415, -666?
-2*j**3 - 6*j**2 - 3*j
What is the o'th term of -2231, -4475, -6707, -8921, -11111, -13271, -15395, -17477?
o**3 - 2251*o + 19
What is the n'th term of -7, -19, -37, -61, -91, -127?
-3*n**2 - 3*n - 1
What is the w'th term of -140, -282, -424, -566?
-142*w + 2
What is the k'th term of -26, -33, -44, -59, -78, -101?
-2*k**2 - k - 23
What is the s'th term of 49, 56, 67, 82, 101, 124?
2*s**2 + s + 46
What is the u'th term of -1740, -1739, -1738, -1737?
u - 1741
What is the x'th term of 8, 17, 32, 53, 80, 113?
3*x**2 + 5
What is the g'th term of 12, 31, 66, 123, 208, 327, 486, 691?
g**3 + 2*g**2 + 6*g + 3
What is the n'th term of 1038, 1049, 1060, 1071, 1082, 1093?
11*n + 1027
What is the o'th term of 110, 132, 154?
22*o + 88
What is the b'th term of 637, 2547, 5731, 10189, 15921?
637*b**2 - b + 1
What is the b'th term of 856, 861, 868, 877?
b**2 + 2*b + 853
What is the t'th term of 5, 84, 231, 452, 753, 1140, 1619, 2196?
t**3 + 28*t**2 - 12*t - 12
What is the p'th term of -163, -197, -281, -439, -695, -1073?
-4*p**3 - p**2 - 3*p - 155
What is the c'th term of -30, -43, -44, -27, 14?
c**3 - 20*c - 11
What is the y'th term of 2374, 4746, 7114, 9478, 11838?
-2*y**2 + 2378*y - 2
What is the j'th term of -9, -5, -1?
4*j - 13
What is the k'th term of 23103, 23102, 23101, 23100, 23099?
-k + 23104
What is the u'th term of -42, -79, -114, -147, -178, -207, -234?
u**2 - 40*u - 3
What is the h'th term of -4, 40, 100, 170, 244, 316, 380, 430?
-h**3 + 14*h**2 + 9*h - 26
What is the d'th term of 1078, 1074, 1070?
-4*d + 1082
What is the a'th term of 623, 5031, 16999, 40307, 78735?
630*a**3 - 2*a - 5
What is the x'th term of -207, -213, -231, -267, -327, -417?
-x**3 + x - 207
What is the t'th term of -102, -106, -112, -120, -130, -142?
-t**2 - t - 100
What is the p'th term of -384, -1534, -3450, -6132, -9580, -13794, -18774?
-383*p**2 - p
What is the v'th term of -585, -587, -589, -591, -593, -595?
-2*v - 583
What is the y'th term of -122, -103, -84, -65?
19*y - 141
What is the c'th term of -2305, -2306, -2307?
-c - 2304
What is the z'th term of 3, -28, -99, -216, -385?
-z**3 - 14*z**2 + 18*z
What is the l'th term of 87, 100, 113, 126, 139, 152?
13*l + 74
What is the c'th term of -91, -180, -269, -358, -447?
-89*c - 2
What is the o'th term of 58, 83, 108, 133?
25*o + 33
What is the y'th term of -110, -112, -114, -116, -118, -120?
-2*y - 108
What is the f'th term of 5, 17, 39, 71, 113, 165?
5*f**2 - 3*f + 3
What is the j'th term of -412, -388, -362, -334?
j**2 + 21*j - 434
What is the n'th term of -9003, -18008, -27013, -36018?
-9005*n + 2
What is the h'th term of 2795, 2798, 2803, 2810, 2819?
h**2 + 2794
What is the g'th term of 1, -8, -15, -20, -23, -24, -23?
g**2 - 12*g + 12
What is the a'th term of -380, -382, -384?
-2*a - 378
What is the y'th term of -318, -342, -366, -390, -414, -438?
-24*y - 294
What is the z'th term of -2543, -2536, -2519, -2486, -2431?
z**3 - z**2 + 3*z - 2546
What is the k'th term of 29, 44, 55, 62, 65, 64, 59?
-2*k**2 + 21*k + 10
What is the u'th term of -15222, -15223, -15224?
-u - 15221
What is the z'th term of -3013, -3010, -3007, -3004?
3*z - 3016
What is the i'th term of 12, 36, 70, 114, 168, 232, 306?
5*i**2 + 9*i - 2
What is the m'th term of 7, -335, -1265, -3077, -6065, -10523, -16745, -25025?
-49*m**3 + m + 55
What is the m'th term of -34, -60, -102, -160?
-8*m**2 - 2*m - 24
What is the y'th term of 20, 15, 10, 5, 0, -5?
-5*y + 25
What is the i'th term of -8131, -8128, -8123, -8116, -8107, -8096?
i**2 - 8132
What is the v'th term of -65, -51, -19, 37, 123, 245, 409, 621?
v**3 + 3*v**2 - 2*v - 67
What is the t'th term of -3851, -3849, -3847, -3845?
2*t - 3853
What is the o'th term of -111, -105, -97, -87?
o**2 + 3*o - 115
What is the v'th term of -289, -311, -347, -403, -485, -599, -751, -947?
-v**3 - v**2 - 12*v - 275
What is the n'th term of 610, 2420, 5438, 9664, 15098, 21740?
604*n**2 - 2*n + 8
What is the i'th term of -40, -32, -14, 20, 76, 160, 278?
i**3 - i**2 + 4*i - 44
What is the l'th term of -6, -23, -52, -93, -146, -211?
-6*l**2 + l - 1
What is the l'th term of 0, -124, -338, -648, -1060, -1580, -2214?
-l**3 - 39*l**2 + 40
What is the z'th term of 145, 130, 115, 100?
-15*z + 160
What is the d'th term of 16, -6, -52, -134, -264, -454, -716?
-2*d**3 - 8*d + 26
What is the y'th term of 7, -26, -117, -296, -593?
-5*y**3 + y**2 - y + 12
What is the g'th term of -8, -13, -16, -17, -16?
g**2 - 8*g - 1
What is the s'th term of 52, 106, 164, 226, 292, 362?
2*s**2 + 48*s + 2
What is the x'th term of 63, 118, 171, 222, 271?
-x**2 + 58*x + 6
What is the s'th term of -7, -8, -1, 14, 37, 68?
4*s**2 - 13*s + 2
What is the j'th term of -12, -72, -188, -372, -636, -992, -1452?
-2*j**3 - 16*j**2 + 2*j + 4
What is the p'th term of 29, 18, -1, -28, -63, -106, -157?
-4*p**2 + p + 32
What is the r'th term of 1, 3, 19, 55, 117, 211?
r**3 + r**2 - 8*r + 7
What is the q'th term of -519, -517, -515, -513?
2*q - 521
What is the u'th term of -17, -100, -229, -398, -601, -832, -1085?
u**3 - 29*u**2 - 3*u + 14
What is the h'th term of -948, -952, -968, -1002, -1060, -1148, -1272, -1438?
-h**3 + 3*h - 950
What is the f'th term of -608, -588, -568?
20*f - 628
What is the c'th term of -148, -593, -1356, -2455, -3908, -5733?
-3*c**3 - 141*c**2 - c - 3
What is the k'th term of 63, 76, 111, 180, 295, 468, 711?
2*k**3 - k**2 + 2*k + 60
What is the k'th term of -77, -506, -1669, -3932, -7661, -13222?
-61*k**3 - k**2 + k - 16
What is the f'th term of -244, -251, -262, -277, -296?
-2*f**2 - f - 241
What is the w'th term of 604, 606, 610, 616, 624, 634?
w**2 - w + 604
What is the x'th term of -99, -96, -81, -48, 9, 96, 219?
x**3 - 4*x - 96
What is the h'th term of -491, -493, -495, -497?
-2*h - 489
What is the g'th term of -356, -348, -326, -284, -216, -116, 22?
g**3 + g**2 - 2*g - 356
What is the q'th term of -1085, -1092, -1103, -1118?
-2*q**2 - q - 1082
What is the t'th term of 279, 278, 277, 276?
-t + 280
What is the q'th term of 35, 112, 237, 410, 631, 900, 1217?
24*q**2 + 5*q + 6
What is the z'th term of 29, 80, 131, 182, 233, 284?
51*z - 22
What is the l'th term of -15, -49, -99, -159, -223, -285?
l**3 - 14*l**2 + l - 3
What is the r'th term of -522, -527, -532, -537, -542, -547?
-5*r - 517
What is the o'th term of -38, -25, -24, -41, -82, -153, -260?
-o**3 + 20*o - 57
What is the c'th term of -1355, -2708, -4061, -5414, -6767, -8120?
-1353*c - 2
What is the t'th term of 30, 72, 114, 156, 198, 240?
42*t - 12
What is the y'th term of -994, -993, -992?
y - 995
What is the r'th term of -209, -208, -207?
r - 210
What is the t'th term of 72, 136, 200, 264?
64*t + 8
What is the w'th term of -92, -117, -178, -293, -480, -757, -1142?
-3*w**3 - 4*w - 85
What is the o'th term of -3194, -6387, -9580, -12773, -15966, -19159?
-3193*o - 1
What is the m'th term of -13, -26, -47, -76, -113, -158, -211?
-4*m**2 - m - 8
What is the a'th term of 29, 48, 81, 128, 189, 264, 353?
7*a**2 - 2*a + 24
What is the r'th term of 35, 151, 345, 617?
39*r**2 - r - 3
What is the c'th term of -132, -133, -134?
-c - 131
What is the q'th term of -197, -
|
{
"pile_set_name": "DM Mathematics"
}
|
153*u**3 + 2991*u + 2.
20*u**3 - 918*u
What is the second derivative of -4*x**5 + 27*x**4 + x**2 - 4194*x?
-80*x**3 + 324*x**2 + 2
Find the second derivative of 812*b**2*z**4 - 4*b**2*z + 12*b**2 - 2*b*z + 2*z**4 wrt z.
9744*b**2*z**2 + 24*z**2
Find the second derivative of -16416*x**2 + 11879*x.
-32832
What is the second derivative of 12*p**4*z**3 - 8*p**3*z**3 + 10*p*z**3 - 3*p wrt p?
144*p**2*z**3 - 48*p*z**3
Find the first derivative of -c**4 + 52*c**3 + 7*c**2 + 11318.
-4*c**3 + 156*c**2 + 14*c
What is the third derivative of -9366*v**3 - 17*v**2 - 15*v + 6 wrt v?
-56196
Differentiate -143*m + 209 with respect to m.
-143
What is the third derivative of 2*h**3*m**3*z + 2*h**3*m**2 - 6*h**2*m**2*z + 978*h*m**3 + 2*m**2*z + m**2 wrt m?
12*h**3*z + 5868*h
Find the second derivative of -40*n**3*z**2 + n**3 + 9*n**2 - n*z**2 - 275*n*z wrt n.
-240*n*z**2 + 6*n + 18
Find the second derivative of 8316*l**3 + 8965*l wrt l.
49896*l
Find the third derivative of -106*i**3*l**2 - 4*i**3 + 1606*i**2*l**2 - l wrt i.
-636*l**2 - 24
Find the second derivative of 2*h**4 + 63*h**2 + 468*h wrt h.
24*h**2 + 126
Find the second derivative of -9*x**5 - 2*x**3 - x - 54 wrt x.
-180*x**3 - 12*x
Find the first derivative of 36*g*s + 11*g - 142*s - 5 wrt g.
36*s + 11
What is the first derivative of -269*d**3 - 19?
-807*d**2
Find the second derivative of -6*k**3 - 7*k**2*q**3 + 3*k**2 + 9*k*q + 4*q**3 - 7*q wrt k.
-36*k - 14*q**3 + 6
What is the third derivative of 252*b**6 + 2*b**5 - 12*b**2 - 6*b wrt b?
30240*b**3 + 120*b**2
What is the third derivative of -902*v**4 - 9*v**2 - 8 wrt v?
-21648*v
Find the first derivative of 62*p**2 + 400.
124*p
Differentiate -664*a**3*m**2 - 186*a**3 with respect to m.
-1328*a**3*m
Differentiate -71*i**2*x + i**2 - 2*i*x**4 - 6 with respect to x.
-71*i**2 - 8*i*x**3
What is the first derivative of -20926*u**3 - 5785?
-62778*u**2
Find the third derivative of 214*t**6 + 133*t**2.
25680*t**3
Differentiate 28*o**4 + o**3 + 245 with respect to o.
112*o**3 + 3*o**2
Differentiate 46*r*x**2*z**3 - 3*r*x*z**2 - 2*r + 2*x**2 - 3*x wrt z.
138*r*x**2*z**2 - 6*r*x*z
What is the third derivative of -5*i**4 - 1140*i**3 + 205*i**2 + 4*i + 4 wrt i?
-120*i - 6840
Find the first derivative of 15*o**2 + 5*o - 76 wrt o.
30*o + 5
What is the derivative of 88*t**3 - 154?
264*t**2
Find the first derivative of 841*b - 3735.
841
Find the third derivative of -9*a*r**3*t**3 - a*r**3 + a*r**2 - 2*a*r*t**3 + a*r - 4*r**3*t**3 - 18*r**2*t**3 wrt r.
-54*a*t**3 - 6*a - 24*t**3
What is the derivative of -m*u**2*v + 16*m*u**2 - 3147*u**2*v wrt m?
-u**2*v + 16*u**2
Find the first derivative of 14*i**2*n - 169*i**2 - i*n wrt n.
14*i**2 - i
Find the second derivative of -2*i**3*p**2 + 6540*i**2*p + 7*i*p**2 + 2*i*p - 7*p**2 wrt i.
-12*i*p**2 + 13080*p
Differentiate 131*o**2 + 251.
262*o
What is the third derivative of -2*d*p**3*z**3 + 31*d*p**2*z + 2*d*p**2 + p**2*z**3 - 2*p wrt p?
-12*d*z**3
What is the second derivative of -2*a*g**2*h*x + 281*a*g**2*h + a*g**2*x - 22*a*x + 4*g*h*x - 2*g*h + 2*g*x wrt g?
-4*a*h*x + 562*a*h + 2*a*x
What is the third derivative of 1133*f**5 + 4961*f**2 + 1?
67980*f**2
Find the first derivative of m**3 + 2731*m - 2506.
3*m**2 + 2731
Find the second derivative of -87*j**4 - 2*j**3 + j**2 - 1131*j wrt j.
-1044*j**2 - 12*j + 2
Find the third derivative of -16*c**3*j + 1649*c**3*q**3 - 3*c*j*q**3 + 4*c*j*q - 11*j*q**2 wrt q.
9894*c**3 - 18*c*j
Find the second derivative of 2*h**2*o*p**3 + 5*h**2*o*p**2 - 150*h**2*o*p + h*o*p**2 + 4*h*p + 2*o*p**3 - 52*o*p**2 wrt h.
4*o*p**3 + 10*o*p**2 - 300*o*p
Find the third derivative of -22686*d*o**3 - 43*d*o**2 - 130*d*o wrt o.
-136116*d
Find the third derivative of -12*n*o*y**3 - n*o*y**2 + 21*n*y**2 + 2*o*y**3 - y**3 wrt y.
-72*n*o + 12*o - 6
Find the first derivative of 5*k**2*o**2 + 72*k**2*o - 28*k**2 - 26 wrt o.
10*k**2*o + 72*k**2
What is the second derivative of 16*p**4*t + p**3*t + 77*p**2*t - 2*p*t + t - 61 wrt p?
192*p**2*t + 6*p*t + 154*t
Find the first derivative of -j**3*q**2 - 4421*j*q**2 - 139*q**2 + 10*q wrt j.
-3*j**2*q**2 - 4421*q**2
Differentiate 4*d*k - d*l - 5*d + 8*k*l**2 - 13*k*l + 21*k + 8*l**2 - 1 wrt l.
-d + 16*k*l - 13*k + 16*l
Find the third derivative of -5014*k**5 + 4*k**2 + 583*k.
-300840*k**2
What is the third derivative of 2*i*m**6 - 6*i*m**4 + 2*i*m**2 - 336*i*m - 2*m**3 wrt m?
240*i*m**3 - 144*i*m - 12
What is the third derivative of 92*t**6 - 35*t**2 wrt t?
11040*t**3
What is the first derivative of -j**4 + 2*j**2*n**2 + 2*j*n - 160*n**2 wrt j?
-4*j**3 + 4*j*n**2 + 2*n
What is the derivative of 2*q**2*r**3*u**2 + 6*q**2*r**3*x + 2*q*r**3*u**2 - 250*r**3*u**2 + 2*u**2*x wrt x?
6*q**2*r**3 + 2*u**2
Find the first derivative of -40*v**4 + 2*v**2 - 1333.
-160*v**3 + 4*v
What is the third derivative of 620*i**3*k**2 + 3*i**3*t + 2*i**2*k**2*t - 7*i**2*k**2 - 3*i**2*t wrt i?
3720*k**2 + 18*t
Find the second derivative of w**5 - 4820*w**2 - 7398*w.
20*w**3 - 9640
What is the third derivative of 45*b*i**2*v**3 + b*i**2 + b*i*v - 32*b*v**2 - 4*i**2*v**4 + 2*i*v**2 wrt v?
270*b*i**2 - 96*i**2*v
What is the third derivative of 21*c**5 - c**3 - 71*c**2 - 2*c wrt c?
1260*c**2 - 6
What is the derivative of 19*f**3 - 3*f + 69 wrt f?
57*f**2 - 3
Find the third derivative of -f**6 - 3*f**3 + 111*f**2.
-120*f**3 - 18
What is the second derivative of b*n*v**2 + 9*b*n*v*z**2 + 2*b*n*z + 2*b*n + b*v*z**3 + n*v**2*z**3 + 22*n*v**2 + 2*v*z**3 wrt v?
2*b*n + 2*n*z**3 + 44*n
Find the third derivative of 2922*c**5 + 1512*c**2.
175320*c**2
Find the second derivative of -4*a**2*b**2*r*t - a**2*r - 2*a*b**2*r*t + a*b**2*r - 4*b*r*t + 2*b*r - 2*t wrt b.
-8*a**2*r*t - 4*a*r*t + 2*a*r
What is the derivative of 320*o**3 + 2*o + 279?
960*o**2 + 2
What is the second derivative of 15*l**3*m**4 + 2*l**3*m + 14*l**2*m**2 + 78*m wrt m?
180*l**3*m**2 + 28*l**2
What is the second derivative of 2953*b**5 + 15948*b wrt b?
59060*b**3
Find the second derivative of 437*z**4 - 714*z.
5244*z**2
What is the first derivative of -2*u**4 - 1577*u**3 + 2734?
-8*u**3 - 4731*u**2
Differentiate 5*q*s**2 - 211*q*s + 3442*s**2 wrt q.
5*s**2 - 211*s
Find the second derivative of -2*n**5*x**2 - 13*n**5 + 2*n**2 + 2*n*x - x**2 + 59 wrt n.
-40*n**3*x**2 - 260*n**3 + 4
Find the first derivative of 6*d**2*p*z**3 + 63*d**2*p*z**2 + 3*d**2*z - 2*d**2 - p*z - 2*z**3 + 364 wrt p.
6*d**2*z**3 + 63*d**2*z**2 - z
What is the third derivative of 91*l**5 - 4*l**2 + 23*l?
5460*l**2
Find the third derivative of 6*i**5 + 4*i**4*p + 2*i**4 - 3*i**2*p - p - 15 wrt i.
360*i**2 + 96*i*p + 48*i
What is the third derivative of -b**4*d*x**2 + b**3*d*x**3 + 15*b**3*d + 2*b**2*x**2 - 5*b*d*x**2 + 2*d*x**3 - d*x**2 wrt b?
-24*b*d*x**2 + 6*d*x**3 + 90*d
What is the second derivative of -b*o**3*y - 2*b*o**2 - b*o*y + 25*b*o - 8*o**3*y - o**3 + o + 4*y wrt o?
-6*b*o*y - 4*b - 48*o*y - 6*o
Differentiate -7810*w + 2164 wrt w.
-7810
What is the second derivative of -4*d*w**2 + 3*d*w - 2*d - 875*w**2 + 2*w + 46 wrt w?
-8*d - 1750
Find the first derivative of -z**4 + 11*z**3 - 9*z**2 - 6169.
-4*z**3 + 33*z**2 - 18*z
Differentiate -3*i**2*o - i**2 + 13*o**4 - 101 with respect to o.
-3*i**2 + 52*o**3
Find the first derivative of -3441*b - 8252.
-3441
Find the third derivative of -22*a**3*h*s**2 + 4*a**3*s**3 - 6*a*h**2 + a*h*s**2 + 18*h**2*s**3 - h*s**4 wrt s.
24*a**3 + 108*h**2 - 24*h*s
What is the third derivative of 3509*x**5 - 10*x**2 - 16 wrt x?
210540*x**2
What is the third derivative of -l*r**3*x - 10*l*r**2*x + 3*l*x + 87*r**3*x + 2*x wrt r?
-6*l*x + 522*x
What is the derivative of -12*c*u*z**2 + 17*c*z**3 - 40*u*z**3 wrt c?
-12*u*z**2 + 17*z**3
Differentiate -96*a - 265 wrt a.
-96
Differentiate -96*o**3 + 114 with respect to o.
-288*o**2
What is the third derivative of -16*c**3*j*n**3 - 128*c**3*n**2 - c**2*j - 4*c*j*n**3 - 2*c*j*n**2 - 2 wrt n?
-96*c**3*j - 24*c*j
What is the derivative of 125*l*q*z - 3*l*z + 351*l + 2*q**2*z + 3*q**2 wrt z?
125*l*q - 3*l + 2*q**2
What is the third derivative of 43*i**6 + 9*i**4 - 429*i**2 wrt i?
5160*i**3 + 216*i
Find the second derivative of 222*z**5 + 32*z - 1 wrt z.
4440*z**3
What is the derivative of g**3 - 17*g**2 + 114*g - 2616?
3*g**2 - 34*g + 114
What is the second derivative of -358*t**4 + 582*t?
-4296*t*
|
{
"pile_set_name": "DM Mathematics"
}
|
n*d**2 + p + u*d + m*d**3 and give m.
141
Express 7810*g - 6 + 32 - 28 + 2 in the form s*g + b and give s.
7810
Express (-4 + 5 - 2*b + 3*b)*(-1165*b**2 - 254054*b + 254054*b) in the form m*b**3 + q*b**2 + j + v*b and give j.
0
Express 12*c**2 + 4*c + 19*c**4 + 9*c**2 - 36*c**2 + 14*c**2 + 12 - 41*c**4 in the form f*c**4 + j*c**3 + k*c**2 + o*c + g and give o.
4
Express -74*a**4 - 3 + 35*a**3 - 35*a**3 + 2*a**2 - 2655*a + 2654*a in the form f + y*a + p*a**2 + w*a**3 + q*a**4 and give q.
-74
Express (1438 + 67*f - 1438)*(3*f**2 - 4*f**2 - f**2 + 57) in the form y*f**2 + d + n*f + o*f**3 and give y.
0
Rearrange 3*q**4 + 5*q**4 + 0*q**4 + (-63*q**3 + 63*q**3 - 9*q**4)*(20 + 1 - 11) to the form w*q + l*q**2 + g*q**3 + k*q**4 + v and give k.
-82
Express 1 - a**2 - a**2 - 7*a - 17*a - 24*a + 46*a - 12*a**3 in the form w + s*a + f*a**2 + y*a**3 and give s.
-2
Rearrange -2*u - 484*u**2 + 77*u**2 - 196*u**2 to the form d*u**2 + h + i*u and give i.
-2
Express -206*c - 321*c - 399*c + 18*c in the form r + n*c and give n.
-908
Express (-27 - 8 - 27)*(98 - 52 - 46*k - 42) as r + c*k and give c.
2852
Rearrange -9997*x**2 - 357*x**2 - 3508*x**2 to the form g + o*x**2 + s*x and give s.
0
Express 3 + 2 - 5871*n + 1714*n - 4154*n - 3 in the form s + c*n and give c.
-8311
Express -7*x**2 + 5*x**2 + 1 - 43534*x + 1 + 43531*x - 142*x**3 as w*x + r + j*x**2 + v*x**3 and give j.
-2
Rearrange 77 + 84 + 89 - 3*j + 82 - 329 - 26*j**2 - 2*j**3 to the form t*j**3 + s*j + i + q*j**2 and give i.
3
Express (-3*q + q - 2*q + (4 + 0 - 1)*(-2*q + 4*q + q))*(-3*q - 2*q - 11*q) as r*q + k*q**2 + w and give k.
-80
Rearrange -4*i - 5*i - i + (i + i - i)*(-33 + 128 - 4) to l*i + j and give l.
81
Express (2*a - 4 + 4)*(2*a + 1 - 1) - 3*a - 2*a**2 + 3*a - 355*a**2 - 1237*a - 274*a**2 + 1234*a in the form j + u*a**2 + l*a and give l.
-3
Express 4363*b + 4363*b + 9*b**3 + 1 - 8714*b as j*b**3 + s + y*b + i*b**2 and give s.
1
Express (-175 + 19 + 69)*(9*r + 3*r - 14*r) as o + p*r and give o.
0
Rearrange 1026*s - 27*s**2 + 1017*s - 2044*s - 18 to the form k + f*s**2 + b*s and give k.
-18
Rearrange 30*n - 119*n + 47*n - 3*n**3 - 8*n**3 + 5 + n**4 + 30*n to the form v*n + j*n**4 + u*n**3 + s + k*n**2 and give k.
0
Express 4 - 10 + r + 24*r**4 + 13*r**2 - r**3 + 2 + 5 + 5*r**2 in the form q*r + w + z*r**2 + u*r**3 + k*r**4 and give u.
-1
Express 859*d**2 - 2 + 18*d - 16*d + 3*d**3 - 857*d**2 as h*d**2 + v + r*d + i*d**3 and give i.
3
Rearrange -3284*b - 436*b - 1602*b to the form i*b + n and give i.
-5322
Rearrange -2*y**2 + 5 - 5 + (-4*y + 2*y + 0*y)*(1 - 2*y - 1) - 250*y**2 + 249*y - 503*y + 255*y to a*y + k + h*y**2 and give a.
1
Rearrange 2 - 3657382*s**3 - 3 + 3657734*s**3 + 13*s to y*s + i + w*s**3 + x*s**2 and give w.
352
Express -453*x**4 - 12*x**2 - 427*x**4 - 2 - 2*x + 888*x**4 as s*x + i*x**3 + l + h*x**4 + u*x**2 and give l.
-2
Rearrange -1703000*f + 1703000*f - 1027*f**2 to j + r*f**2 + w*f and give r.
-1027
Express 392647*y - 392643*y + 1 + 6 - 4*y**2 in the form p + k*y**2 + m*y and give m.
4
Rearrange 3 - 119 - 5 + 3*c - 26*c - 81 to the form b*c + z and give z.
-202
Rearrange 0 - 2457*g - 312*g - 518*g - 3069*g + 1 to the form d*g + y and give y.
1
Express -t - 3*t**2 + t**3 - 25 + t**4 + 103 - 27 - 23 - 37 as y*t + b*t**2 + c + z*t**3 + o*t**4 and give c.
-9
Express d + 49*d - 10*d**2 - 32*d + (74*d + d + 91*d)*(0*d + d - 3*d) as i + f*d + s*d**2 and give s.
-342
Express (0*b - 4*b + 5*b)*(-b**2 + 2*b**2 - 3*b**2) - 290*b**2 + 3*b**3 + 15600*b - 15600*b as v*b**2 + m*b + q*b**3 + d and give v.
-290
Express (-1 + 1 + 1)*(0*x + 2*x + x) - 94*x + 338*x - 4 - 121*x in the form l*x + k and give l.
126
Express (-304*l - 370*l + 410*l)*(-2*l - l + 10*l)*(2*l**2 - 2*l**2 - 2*l**2) in the form h*l**3 + f*l + n*l**4 + g*l**2 + s and give n.
3696
Express (-2*u**2 + 2*u**2 - u**2)*(1435*u + 160*u - 666*u)*(-3 + 3 + 5*u) as k + a*u**2 + o*u + v*u**3 + p*u**4 and give p.
-4645
Rearrange -2*x**4 + 12 - 106*x**2 + 2*x - 3*x**4 + 211*x**2 - 14*x**3 + 4*x**4 - 104*x**2 to y*x**4 + s*x**2 + o*x + p*x**3 + v and give y.
-1
Rearrange (5*y - 4*y + 4*y + (-y - 3*y - 3*y)*(-5 - 2 + 6))*(4 - 3 - 3) + 5 - 7*y - 5 to r + k*y and give k.
-31
Rearrange (5468*d - 1403*d + 10671811*d**2 - 10671802*d**2 - 1)*(3 + 0 - 2)*(1 + 0 - 2) to the form p + q*d**2 + i*d and give p.
1
Rearrange 0 - 1155*n + 1120*n + 7 to q + k*n and give k.
-35
Rearrange 2040*s**2 - 469*s - 4079*s**2 + 2038*s**2 - 3*s**4 to g*s**3 + w + f*s**4 + h*s**2 + l*s and give h.
-1
Express (-12 + 8*g + 12)*(98*g + 20 - 48*g - 48*g)*(99 - 37 + 7) in the form q + o*g + f*g**2 and give f.
1104
Express 3*c**2 - 33 - 21 + 56 - 4*c**3 + 16*c**4 in the form j*c**3 + g*c + q*c**2 + d*c**4 + s and give q.
3
Rearrange (4 - 6 + 3)*(0*q - 3*q + 8 - 5)*(-2 + 4 + 0)*(-100 + 255 + 203) to t*q + r and give r.
2148
Rearrange -2*c - c + c + (-1 + 2 + 0)*(2*c + 0*c - 3*c) - 3308 - 2900*c + 3308 to the form g*c + t and give g.
-2903
Rearrange -2 + 285*h + 2 + 2581*h to v*h + f and give v.
2866
Express -337*s - 146*s**4 + 139*s - 7*s**2 + 1 + 2*s**3 + 198*s + 434*s**4 in the form q + l*s**2 + u*s**4 + g*s**3 + m*s and give q.
1
Express (7*i + 5*i - 3*i)*(0 + 0 + 1)*(5 - 3 + 5)*(-10 + 5 - 22) + 4 - 4 + i + (-1 + 2 + 1)*(-i - 4*i + 4*i) as f + k*i and give k.
-1702
Rearrange (-1721 + 1822 - 209 - 1852)*(2 - 2 - f**2) - 2*f**2 + f**2 + 2*f**2 to n*f + b + a*f**2 and give a.
1961
Express -1 - 262*p**4 - 269*p**4 + 533*p**4 - 105*p as f*p**4 + w*p**3 + s*p + j*p**2 + v and give w.
0
Rearrange 16*m**3 - 3*m**2 + 32*m**2 - 863 - 8*m**2 + m - 15*m**3 - 19*m**2 to the form l*m**2 + g*m + h + i*m**3 and give l.
2
Express 9809*p**4 + 9820*p**4 + 25*p + p**3 - 3 - 19616*p**4 as c*p**2 + o*p**4 + r*p**3 + j*p + w and give r.
1
Rearrange 689827*d + 790*d**3 + 179*d**3 + 1 - 689826*d - d**2 - 1 to s + l*d + f*d**2 + h*d**3 and give l.
1
Express (-17 - 11 - 49 + (0 + 4 - 2)*(4 - 2 - 1))*(39*f + 14*f - 20*f) in the form x + h*f and give h.
-2475
Rearrange -7582 - 24*b**3 + 3789 + 3791 - 5*b**3 - 83*b**2 to the form u + c*b**2 + x*b**3 + l*b and give u.
-2
Express -l + 53*l**4 - 52*l**4 - 1 + 11*l**2 + 214*l**3 - 13*l**2 in the form d*l + b + c*l**2 + f*l**4 + w*l**3 and give b.
-1
Express 9334*h + 63001*h - 26151*h as c*h + m and give c.
46184
Rearrange -13 + 7 + 9 - 10*t**3 + (2*t**2 - 1 + 1)*(-4*t + 5*t - 2*t) - 120*t**3 - 1382 + 1382 to q*t**2 + x*t**3 + f + b*t and give b.
0
Express -16*f**3 + 5*f - 2*f**4 - 3*f + 4*f**4 + 13*f**3 - 4 - 4*f**4 in the form a*f**2 + r*f**3 + n*f + i*f**4 + w and give i.
-2
Express 32 - 3796*h + 2506*h - 30 in the form g + s*h and give s.
-1290
Express (-2*g + 3*g - 7*g)*(1 + 0 + 1) - 2*g - 3*g + 3*g + (-2*g + 1 - 1)*(-1 - 1 + 3) + 0*g + 0*g - g - 1942*g - 1393*g - 86*g in the form w + d*g and give w.
0
Express -297*m**2 - 3*m - 313*m**2 - 5 - 301*m**2 + 883*m**2 as s*m + f*m**2 + b and give s.
-3
Express -28 + 34 - 45*d - 78*d - 5*d - 21*d as h + r*d and give h.
6
Express (29*l - 13*l + 43*l + (1 - 1 - 2*l)*(-3 + 2 + 3))*(-22*l + 99 - 99)*(2 - 2 - 1) in the form f + x*l + p*l**2 and give p.
1210
Express (5 + 0 - 9)*(4815*x**2 + 2 + 2 - 4750*x**2 - 2*x) as h*x + o + r*x**2 and give h.
8
Express -14377*p + 7182*p + 7185*p - 44 in the form v*p + f and give v.
-10
Rearrange (29 + 600 - 410 + 7776)*(-6*r - 11*r + 10*r) to the form l*r + f and give l.
-55965
Express r**3 + 502*r**2 - 56*r**2 - 184 + 185 in the form l*r**3 + x*r + a*r**2 + p and give p.
1
Express -2138*s - 1803*s + 1 + 8869*s - 1744*s - 2163*s in the form g + f*s and give g.
1
Express -926 + 926 + 4363*v as n + g*v and give g.
4363
Express 619*k - 2 + 1 - 6 + 1021*k - 461*k in the form c + q*k and give q.
1179
Express -9 + 1269*a**3 + 3*a**4 - 2*a**4 + 7 + 3*a + 1339*a**3 - 2685*a**3 as r*a**4 + x*a**3 + t + c*a**2 + d*a and give c.
0
Rearrange -1489*j**2 + 254*j**2 - 7768*j**2 to t*j + z + d*j**2 and give d.
-9003
Express 0*o - o + 2*o + (-3 + 38 - 3)*(0*o - 2*o + o) + (1 + 2 - 1)*(36*o - 84*o + 61 + 46*o) in the form q*o + v and give v.
122
Express -3*r + 2*r - 2*r + 4*r - 4*r + r + (-3 + 4 + 1)*(1 - 1 - r) - 106 - 2*r - 55 + 24 in the form d + u*r and give d.
-137
Rearrange (2938*o**3 + 937 - 937)*(6*o - 5*o + 6*o) to t*o**3 + l*o**2 + x*o**4 + u*o + s and give x.
20566
Rear
|
{
"pile_set_name": "DM Mathematics"
}
|
-4)/58?
2/29
Evaluate -2*(-1 - -5)*1424/39872.
-2/7
Calculate 2/(-5*4*(-1)/(-130)).
-13
What is 11 - (2 + -4)/((-53)/106)?
7
What is 656/108 + -2 + 8/(-6)*3?
2/27
What is (2/8)/(((-2)/(-6))/(128/(-60)))?
-8/5
Evaluate 11/33*3/(-2) + (-54)/4.
-14
(-348)/(-261)*(-1)/(-14)
2/21
Calculate (-30)/(-152) - (-192)/3648.
1/4
Calculate ((-26)/4)/(-4 - (-126)/28).
-13
8/10 + (-7 - -5) + 1394/170
7
Evaluate ((-621)/(-54))/(((-28)/196)/((-4)/14)).
23
What is -1*((-285)/228 - (-86)/(-8))?
12
Evaluate 81/105 - 18/(-42) - 112/10.
-10
What is the value of (168/112)/((-18)/8)*-3?
2
What is the value of (-64)/14 + ((-134)/(-14) - (-420)/(-42))?
-5
Calculate (-4)/(-16) + (0 + 8 - 975/60).
-8
What is the value of -10 - (-14 + (13 - 1)) - (-37)/5?
-3/5
What is the value of (-1804)/(-165) + -12 - 4/(-6)?
-2/5
What is the value of ((-180)/25)/((-12)/(-72)*27/15)?
-24
Evaluate -9 + 400/224*14.
16
(4/(-90))/((-286)/10296)
8/5
Calculate (-238)/10 - (-2736)/3420.
-23
((807315/2070)/(-107) - (-11)/3)*2
1/23
What is 7*((-330)/(-42))/(-11)*30/(-325)?
6/13
What is ((-500)/275 - ((-16)/(-22))/4)*2?
-4
What is (-8468)/(-3480) + (-2)/(-30)?
5/2
What is the value of (1/(-24))/(47/94)?
-1/12
55*(-13)/(-143) - ((-56)/(-4) + -1)
-8
8/2 + -13 + 9 + -1
-1
Evaluate (2/6)/((-75)/(-225)).
1
What is the value of 30/20*(-218)/(-1417)?
3/13
Evaluate 1750/21875*(-50)/12.
-1/3
What is the value of (-697)/(-221) + -3 - 464/3692?
2/71
220/(-22) - -4 - (12 + -2)
-16
What is 161/(-69) + 26/9?
5/9
What is (-1008)/3256 - 12/(-33)?
2/37
Calculate (-9)/45*65/156.
-1/12
What is (-33)/(20/((-160)/(-24)))?
-11
Evaluate 20/(-110) + 6541/341.
19
Evaluate -3 + (-35)/7 + -9 + 5 + 8.
-4
What is the value of (32/(-384))/(13/(-195))?
5/4
What is the value of -16 + -6*(-132)/72?
-5
What is (-24)/(-120)*-2*(-2 - (76 - -2))?
32
Evaluate (-103 - -104) + (1 - 5/(-25)).
11/5
(-2)/((-144)/(-22)) - (-581)/(-2324)
-5/9
What is the value of -26 - (-2 + 2) - -17?
-9
Evaluate -3*(-18 - -39 - 18).
-9
Evaluate (-101)/1010 + (-142)/(-220).
6/11
What is (-101)/4 - 111/148?
-26
What is the value of ((-21)/(-2))/(351/(-234))?
-7
(-166)/20 + 537/1790
-8
What is (8/(-6))/((-97)/(-291)) + 15?
11
Evaluate ((-2*1)/(36/18))/(37/(-259)).
7
What is ((-5)/(-4))/(((-5)/(-6))/(57/1368))?
1/16
What is 32/(-84) + 440/(-240) + 2?
-3/14
Calculate (-94 - 2)/(9 + -6).
-32
What is (4 + -4)/(-2) - ((-570)/(-3))/10?
-19
What is ((-50)/6)/((-1539)/(-4617))?
-25
Calculate (2937/(-99) + 29)*2*-18.
24
What is the value of -9*8*1/48?
-3/2
What is (27/81)/((-4)/(-180))?
15
What is the value of ((-51)/867)/(5 + -5 + (-7)/(-28))?
-4/17
Evaluate (0 + 1)/(30/200*(-8)/6).
-5
-15 + -3 - (-84 - -47)
19
What is the value of (1 - -1)/(-12*9/918)?
-17
What is the value of (20/45 - (-8)/(-18)) + 6/102?
1/17
Calculate 10/(21/(-567)*18).
-15
What is the value of -1*((-25)/175)/((-6)/(-21))?
1/2
Evaluate (-693)/3990*5 + 51/18 + -2.
-2/57
Evaluate 1443/3367 - ((-114)/189 + 1).
2/63
(-10 - (-14 + 4 - -8)) + 150/19
-2/19
Calculate -5 + (8 - (-12)/(-2) - (-663)/136).
15/8
(-507)/(-2184) + 5/25*5/(-8)
3/28
Evaluate ((24/54)/(2/(-12)))/((-2)/(-6)).
-8
What is ((-11)/(-14))/(2 - (-936)/(-546))?
11/4
(-259)/(-9) + ((-5848)/387)/(-68)
29
What is the value of ((135/12)/5)/(11 + (-405)/36)?
-9
189/21 + ((-96)/42 - 7)
-2/7
What is the value of ((-8370)/60)/(-31)*(-20)/(-12)?
15/2
What is (4/(-2)*8/(-6))/((-80)/(-72))?
12/5
Calculate 0 - -7 - (21/(-7) + 11).
-1
What is the value of 3/1*(-1328)/(-249)?
16
What is 165/(-1980) + -2*(-4)/(-48)?
-1/4
Evaluate 14105/1560 - ((-4 - -7) + 2 + 4).
1/24
Calculate (60/750)/(96/320).
4/15
What is 2/((-64)/(-41184)*39)?
33
What is (-45)/(-25)*(-350)/42?
-15
What is the value of (-756)/(-153) - -9 - 8 - 6/1?
-1/17
What is 1*(-4)/7*(33 - (-17458)/(-532))?
-2/19
(-5)/(-7) + 8814/(-7910) + 2/(-20)
-1/2
Evaluate 51/44 + (-2 + 0)*81/(-1782).
5/4
Calculate (52/(-30))/((-72)/(-60)) - (-2)/6.
-10/9
Calculate (-2 + 1 + -2)*5/(0 + 5).
-3
(-12)/(-21)*(-154)/44
-2
((-896)/320)/(24/40)
-14/3
Calculate 14/1*((-518)/98 + 5).
-4
Evaluate 24 + 1 + -3 + 2*-1.
20
What is the value of (((-14)/(-4))/(301/86))/((-2)/4)?
-2
((-19)/(-57))/(13/273)
7
Calculate (-96)/(-11) + 219/803.
9
What is the value of (-85)/280 + 161/(-1288)?
-3/7
Evaluate -6 - 4270/(-110) - 32.
9/11
Evaluate (144/42)/((-48)/(-112)).
8
What is the value of (-10)/(-12)*((-6660)/225 + 30)?
1/3
What is the value of (-209)/57*198/(-121)?
6
(135/10 - 14)*12/3
-2
Evaluate -70*14/(-112)*-20*2/(-10).
35
What is the value of (2 - 1)/(-1) + (-733 + -23)/108?
-8
What is 15 + 3 - 23989/1341?
1/9
Evaluate 16/(-22)*((-40)/4)/(-40).
-2/11
What is the value of ((-11)/(-1))/(-116 + 111)?
-11/5
What is the value of (-139 + 126)/(-1 - -2)?
-13
(144/(-21))/6 + 1
-1/7
Calculate (-7470)/(-408) + 18/(-306) - (-5)/(-4).
17
((-24)/((-102)/17))/(2/(-3))
-6
What is the value of 5204/840 - ((-3300)/(-252) + -13) - 6?
1/10
28 - 19 - ((-150)/(-42) - -5)
3/7
Calculate 15/90*(-9)/6*(2 + -6).
1
1 + 22/(-5) + 546/(-78) - -10
-2/5
What is the value of (9/(-4) - -2) + -43 + 93984/2176?
-1/17
Evaluate (17 + 795/(-45))/((-1)/(-18)).
-12
What is the value of 9 + (-10 - (-34)/30)?
2/15
What is (4/(-3) + 1)*(39574/1034 - 38)?
-1/11
Evaluate ((-1)/(-5))/(4011/(-2865)).
-1/7
824 + -809 - 24/2
3
-13 - (1 - 1190/84)
1/6
Evaluate (-440)/(-35) + 7/((-294)/24).
12
What is (-55 - -31) + (4 - -20)?
0
Evaluate (6*6/(-27))/(50 - 36).
-2/21
8/(-3)*(-36)/(-48)
-2
Calculate (2/(-4))/((-45)/(-27 - -792)).
17/2
What is the value of (-4)/90*8*10/16?
-2/9
11/(363/(-336)) - (-4 + (-126)/(-33))
-10
What is (-3)/(63/339) + 4 + (-34)/7?
-17
What is (-16 - -13) + 17 - 12?
2
Calculate 4968/207 + (-1074)/45.
2/15
6 - (11 - 9)*(-5)/10
7
What is 8/12 + 676/156 + -30?
-25
What is 4/6*(1/(-8))/((-1)/(-6))?
-1/2
What is (564/752)/(2*(-15)/(-8))?
1/5
4 - (-14 - 28/(-2))/(-1*1)
4
What is the value of (6 - -6 - 12)/(-11) - -1*9?
9
What is -3 + (93/18 + -1)/((-21)/(-14))?
-2/9
((129/(-45))/(-43))/(1 + -2)
-1/15
Evaluate (-2)/(-4)*72/(-10)*(-645)/258.
9
6/10*18705/(-2494)
-9/2
4/30 + 4/480*1304
11
What is -7*6/72*2?
-7/6
(-3)/(-84)*38 - ((-184)/8)/(-46)
6/7
Calculate (-12)/(-8)*((-2)/3)/(70/20).
-2/7
Evaluate -9 + (23 - 14) + 9.
9
What is the value of (-18 - (-356)/20)*-75?
15
19/(-57)*(90/6 - 15)
0
((-78)/(-8))/(-23 - (-5249)/232)
-26
Calculate -52*(-4)/(-16)*(-7 + 3)/4.
13
Evaluate 136/340*15/(-6).
-1
What is (15 - 9)/((56/12)/7)?
9
What is the value of (-2)/((-13 + (-666)/(-54))/(1/27))?
1/9
4/14 - (-378)/49 - 1971/438
7/2
What is 10/(-14) + (3/(-24))/(1/(-8))?
2/7
Evaluate (18/72)/(22/8) + 196/22.
9
33/36*(0 + 8 - (128 + -132))
11
Evaluate ((-127)/(9144/(-576)))/(2/3).
12
What is the value of (-2 - 24/(-10)) + ((-2106)/45)/2?
-23
Calculate ((-18)/(-80))/((-16488)/(-4580)).
1/16
Calculate (-630)/(-36)*(-12)/15.
-14
Calculate (-18)/(-60)*(-90)/54.
-1/2
What is the value of -22*((-3)/(-2) - (405 - 403))?
11
Calculate 37/(74/(-12)) + 9.
3
Evaluate (20/(-18))/(3228/(-2421)).
5/6
Calculate (3/((-12)/(-23)))/((-35)/140).
-23
Calculate (-1344)/150 - 279/(-31).
1/25
Evaluate (0 - (-1)/(-3))/((-335)/(-10050)).
-10
What is the value of -12*(-3 - (-93)/36)?
5
1/(-8) + 7865/520
15
Calculate -8 - -1 - (10129/(-1463) + (-6)/(-57)).
-2/11
Evaluate (2*-4 + 306/36)/(2/10).
5/2
What is 3*10/135 - -6*(-623)/(-189)?
20
(-29)/((-5742)/(-1998)) + 9
-12/11
Evaluate (6/5)/(1914/(-58)*(-2)/(-15)).
-3/11
Evaluate (-112)/(-26) - 96/312.
4
Calculate (-52390)/1612 + 66/2.
1/2
Evaluate (7/21)/(34/2856) - 8.
20
(-1)/(-3) - (-2)/(-10)*80/96
1/6
Evaluate ((-26)/(-4))/((325/(-26) + 13)*-1).
-13
Calculate ((-5 + 9)/56)/(((-114)/60)/19).
-5/7
Evaluate 5*(9/(-126))/(18/(-12) + 1).
5/7
Evaluate ((-1)/(-9))/(12 - (-483)/(-46)).
2/27
Calculate 3/(-9)*(-9)/12*(-8)/1.
-2
What is the value of -13 + -2 + (-90201)/(-6099)?
-4/19
What is the value of 11/(-44) - (-10)/((-240)/162)?
-7
Evaluate 12/((38/(-152))/(2/(-36))).
8/3
Evaluate (0 + -1)*(-20 - (-135)/10 - -3).
7/2
Calculate -47 + 6480/232 - (-4)/58.
-19
Calculate 3 + 1 + 69/(-27) + (13 - 14).
4/9
What is (-4)/11*((-4)/18)/(68/(-51))?
-2/33
Evaluate 4*(-2)/28*(-175)/75.
2/3
What is the value of ((-98)/(-34) - 3) + 2610/510?
5
What is the value of 97/(22698/1080)*26/(-4)?
-30
What is the value of (-17 - -6) + 2 + 1*12?
3
What is (226/19 - 0) + (-3 - (-59)/
|
{
"pile_set_name": "DM Mathematics"
}
|
culate c.
-1, 0, 1
Let b be (20/16)/(1/4). Let s(z) be the second derivative of -7/20*z**b + 0 + 0*z**2 + 3*z + 0*z**3 + 1/6*z**4. Factor s(t).
-t**2*(7*t - 2)
Solve -4/3*p**3 + 10/3 + 31/3*p - 37/3*p**2 = 0 for p.
-10, -1/4, 1
Let t(x) be the first derivative of -2*x**6/21 + 16*x**5/35 - 5*x**4/7 + 8*x**3/21 - 5. Factor t(f).
-4*f**2*(f - 2)*(f - 1)**2/7
Suppose -28*r = -2 - 54. What is p in 0 - p**3 - 1/3*p + p**r + 1/3*p**4 = 0?
0, 1
Let g(f) = -f**3 + 2*f**2 + f + 2. Suppose 6*v = v - 10. Let l(q) = -3*q**3 + 6*q**2 + 4*q + 7. Let i(p) = v*l(p) + 7*g(p). Let i(n) = 0. Calculate n.
0, 1
Factor 5/3 - 19/3*f - 4/3*f**2.
-(f + 5)*(4*f - 1)/3
What is p in -44 - 40 - 5*p**4 + 84 = 0?
0
Let r(h) be the first derivative of -h**4/24 - 7*h**3/18 - 5*h**2/6 - 38. Factor r(i).
-i*(i + 2)*(i + 5)/6
Suppose 4*j = -2*x + 14, -2*j - 6 = j - 4*x. Suppose 4 - 3 + 0*u - j*u + u**2 = 0. What is u?
1
Let o(a) be the third derivative of 0 + 0*a**3 + 1/840*a**8 + 0*a**4 + 1/300*a**6 + 0*a**5 + 6*a**2 + 2/525*a**7 + 0*a. Let o(h) = 0. What is h?
-1, 0
Suppose 2*m - 9 = p, 3*p - 1 = -4*m - 8. Let u(c) be the second derivative of 2/3*c**3 + 0 + c + 0*c**m - 1/6*c**4. Determine h, given that u(h) = 0.
0, 2
Let u be (27/(-9) + 3)/(3 + -5). Factor u - 2/5*c**4 + 0*c**2 + 1/5*c**5 + 0*c + 1/5*c**3.
c**3*(c - 1)**2/5
Let y(t) be the first derivative of -t**9/15120 + t**8/2800 - t**7/1400 + t**6/1800 + 2*t**3 + 6. Let h(i) be the third derivative of y(i). Factor h(l).
-l**2*(l - 1)**3/5
Factor 18/5*b - 4/5 - 14/5*b**2.
-2*(b - 1)*(7*b - 2)/5
Factor 3/4*h - 7/4*h**2 - 1/4*h**4 + 5/4*h**3 + 0.
-h*(h - 3)*(h - 1)**2/4
Let f = 13/6 - 5/3. Let c = -2 - -2. Factor 0*q + c*q**3 + 0 + f*q**4 - 1/2*q**2.
q**2*(q - 1)*(q + 1)/2
Let f(l) = l**5 + l**4 + l**3 + l + 1. Let y(x) = 35*x**5 + 25*x**4 + 20*x**3 + 30*x + 30. Let n(d) = -30*f(d) + y(d). Factor n(j).
5*j**3*(j - 2)*(j + 1)
Let p(h) be the third derivative of -h**11/498960 - h**10/113400 - h**9/90720 - h**5/20 + h**2. Let u(c) be the third derivative of p(c). Factor u(l).
-2*l**3*(l + 1)**2/3
Let v(b) = 4*b - 3 + 2*b**2 - 3*b**2 + 3*b. Let g be v(6). Find h, given that 0*h**3 + 0*h**2 + h**2 - h**g = 0.
0, 1
Let 0 - 2*t**2 - 1/2*t**4 + 0*t + 2*t**3 = 0. What is t?
0, 2
Let r(k) = 5*k**2 + 16*k + 11. Let h(b) be the first derivative of b**3/3 + 3*b**2/2 + 2*b + 4. Let d(t) = -33*h(t) + 6*r(t). Determine c so that d(c) = 0.
-1, 0
Let v(f) = -3*f**4 + 12*f**3 + 9*f**2 + 9. Let w(q) = q**3 + q**2 + 1. Let k(h) = v(h) - 9*w(h). Factor k(s).
-3*s**3*(s - 1)
Suppose -2*j = 3*j - 20. Let h(g) be the second derivative of 1/30*g**5 + 0*g**2 + 0*g**j + 0 - 1/9*g**3 - 2*g. Factor h(p).
2*p*(p - 1)*(p + 1)/3
Suppose -9*n + 6 = -6*n. Let x(k) be the first derivative of n - 2/3*k**3 + 0*k + k**2. Factor x(y).
-2*y*(y - 1)
Suppose -7*s = -5 - 16. Let i be 35/26 + 20/130. What is z in s + 15/2*z + i*z**3 + 6*z**2 = 0?
-2, -1
Determine b, given that 4*b - 4*b**2 + 0 + 0 + 12*b**4 - 8*b**4 - 4*b**3 = 0.
-1, 0, 1
Let b be (-4)/5*(-20)/4. Factor 0*f**2 - f**b + f**2 - f**2 - f**5.
-f**4*(f + 1)
Let c(u) be the third derivative of u**8/1512 + u**7/189 + u**6/90 - 2*u**5/135 - 2*u**4/27 + 2*u**2. Determine w so that c(w) = 0.
-2, 0, 1
Suppose 15 = -o + 5*t, -3 = -3*o - t + 16. Factor -1/3*q**o + 25/3*q**2 - 16/3*q + 4/3 + 7/3*q**4 - 19/3*q**3.
-(q - 2)**2*(q - 1)**3/3
Let p(s) = -8*s**2 + 20*s + 10. Let q(z) = -z**2 - z + 1. Let f(l) = 2*p(l) - 20*q(l). Find a such that f(a) = 0.
-15, 0
Let r(u) be the second derivative of -1/48*u**4 + 0*u**2 + 0*u**3 + 0 - u + 1/40*u**5 - 1/120*u**6. Factor r(s).
-s**2*(s - 1)**2/4
Suppose 0*k**2 + 19*k - 2*k**2 - 7*k - k**2 = 0. What is k?
0, 4
Let -1/4*u**2 - 1 + 5/4*u = 0. What is u?
1, 4
Suppose 4*c - 6 = -2*l, -5*c - 4*l - 3 = -5*l. Let k be c + (-1)/(-1) + 2. Find z, given that 2*z**5 - 7*z**2 + 9*z**k + 0*z**5 - z - z**5 + 3*z - 5*z**4 = 0.
0, 1, 2
Let d(b) be the second derivative of -b**5/40 + b**4/8 - b**3/4 + b**2/4 - 15*b. Factor d(x).
-(x - 1)**3/2
Suppose 0 = 2*a - 29 - 67. Factor t**2 + 0*t - 24*t + 2*t**2 + a.
3*(t - 4)**2
Suppose -8/3*t + 0 - 4*t**2 + 0*t**3 + 4/3*t**4 = 0. Calculate t.
-1, 0, 2
Solve 2*c**3 - 4 + 3*c - 2*c + 8*c - c**3 - 6*c**2 = 0 for c.
1, 4
Let g(z) = 2*z**3 + 7*z**2 - 14*z + 8. Let x be g(-5). Factor -10/3*a + 2 + 2/3*a**2 + 2/3*a**x.
2*(a - 1)**2*(a + 3)/3
Let a be 0 + 10/(-14) - (5 + -6). Let j(h) = -h**3 + h**2 + h - 1. Let d be j(1). Factor d - 2/7*b**3 + 0*b**2 + a*b.
-2*b*(b - 1)*(b + 1)/7
Suppose -47*u = -56*u. Let 0 + u*j - 1/3*j**3 + 1/6*j**4 + 1/6*j**2 = 0. What is j?
0, 1
Let u = -105 - -111. Let h(n) be the third derivative of 4/9*n**3 + 0 + 1/36*n**u + 4/9*n**4 + 17/90*n**5 + 0*n + 3*n**2. Factor h(s).
2*(s + 1)*(s + 2)*(5*s + 2)/3
Let t = 1/27 - -25/54. Let 1/2*s + 0 - t*s**2 = 0. What is s?
0, 1
Let m(b) = -14*b**3 - 21*b**2 + 27*b + 11. Let z(n) = 14*n**3 + 20*n**2 - 26*n - 10. Let j(t) = 2*m(t) + 3*z(t). Factor j(v).
2*(v - 1)*(v + 2)*(7*v + 2)
Factor 2*q + 5*q + 2*q**2 + 4 - 3*q + 2*q.
2*(q + 1)*(q + 2)
Let r = 66 + -66. Factor r + 4/7*m - 2/7*m**2.
-2*m*(m - 2)/7
Factor 0*z**4 + 2*z**4 - z**4 + z**3.
z**3*(z + 1)
Let h be (-90)/(-40) - 6/(-8). Suppose 5*t - 4 = h*v, -2*t - 12 = -7*t - v. Factor -2/9*i**t + 2/9 + 0*i.
-2*(i - 1)*(i + 1)/9
Factor 15*g**2 - 15*g**3 - 26*g + 21*g + 0*g**4 + 5*g**4.
5*g*(g - 1)**3
Suppose 0 - 2/3*o**3 - 2/3*o + 4/3*o**2 = 0. What is o?
0, 1
Let t = -1/13 + 16/39. Factor 0*a**3 - 1/3*a**2 + 0 + 0*a + t*a**4.
a**2*(a - 1)*(a + 1)/3
Let g(h) be the third derivative of 0 + 0*h + 1/120*h**5 + 0*h**4 + 0*h**6 - 1/24*h**3 + 3*h**2 - 1/840*h**7. Determine u so that g(u) = 0.
-1, 1
Let j(z) be the first derivative of -2*z**3/33 - 2*z**2/11 + 18. Determine d so that j(d) = 0.
-2, 0
Factor -21*m - 67*m**2 - 10 - 8*m**2 - 64*m.
-5*(m + 1)*(15*m + 2)
Let p(v) be the third derivative of v**8/336 + v**7/210 - v**6/120 - v**5/60 - 7*v**2. Let p(z) = 0. What is z?
-1, 0, 1
Let m = -1153/2 - -577. Suppose 9/4*w - w**2 - m = 0. What is w?
1/4, 2
Let j be 61/45 + 72/(-54). Let k(m) be the third derivative of -1/18*m**4 - 1/360*m**6 - 3*m**2 - j*m**5 + 0*m**3 + 0*m + 0. Determine r so that k(r) = 0.
-2, 0
Find q such that 23*q**4 - 2*q**2 - 21*q**4 + 2*q**2 + 4*q**3 = 0.
-2, 0
Let c(p) be the second derivative of p**4/30 + 4*p**3/15 + 3*p**2/5 - 15*p. Solve c(b) = 0.
-3, -1
Let q(u) be the second derivative of 2*u**5/65 - u**4/6 + 11*u**3/39 - 2*u**2/13 + 16*u. Factor q(s).
2*(s - 2)*(s - 1)*(4*s - 1)/13
Let y(n) be the first derivative of n**5/100 + n**4/60 - n**3/30 - n**2/10 + 3*n - 1. Let w(q) be the first derivative of y(q). Let w(t) = 0. What is t?
-1, 1
Let o(g) = g**2 + g + 3 - 5 + 4. Let t be o(0). Factor 0*n**3 - n**4 - 5*n + 3 + n**3 + 3*n**t + 0*n - 1.
-(n - 1)**3*(n + 2)
Let a(y) be the first derivative of -3*y**4/4 + 2*y**3 + 6*y**2 - 24*y - 11. Suppose a(p) = 0. Calculate p.
-2, 2
Let d(j) be the first derivative of -1/15*j**3 + 0*j - 9 - 3/10*j**2. Find y such that d(y) = 0.
-3, 0
Let z = -42 + 44. Let t(r) be the second derivative of -1/20*r**5 + 1/12*r**4 - 2*r + 1/6*r**3 - 1/30*r**6 + 0 + 0*r**z. Factor t(n).
-n*(n - 1)*(n + 1)**2
Let m = 4 + 2. Suppose -18*z**5 - 10*z - 1 - 1 + 28*z**3 - m*z**4 + 4 + 4*z**2 = 0. Calculate z.
-1, 1/3, 1
Let y(v) = -2*v**3 + 2*v + 2. Let t(z) = -z**3 + z**2 + z + 1. Let c(s) = 5*t(s) - 5*y(s). Factor c(f).
5*(f - 1)*(f + 1)**2
Let v = 3 + 1. Let t = -7 + 9. Determine w, given that w**t + 2 + v*w**2 - 3*w**2 + 6*w + 2 = 0.
-2, -1
Let p(f) be the first derivative of 3 - 2/5*f + 1/2*f**4 - 4/15*f**6 - 8/25*f**5 + 2/3*f**3 - 1/5*f**2. What is m in p(m) = 0?
-1, -1/2, 1/2, 1
Let f(w) = w**3 + 3*w**2 + 3*w + 4. Let x be f(-2). Factor 0*l + 1/2 - 1/2*l**x.
-(l - 1)*(l + 1)/2
Factor 0 - 1/4*d - 5/4*d**3 + d**2 + 1/2*d**4.
d*(d - 1)**2*(2*d - 1)/4
Let g = 12/5 - 4/5. What is q in -g - 56/5*q - 98/5*q**2 = 0?
-2/7
Suppose 18 = 5*t - t - 5*x, -3*t - 4*x + 29 = 0. Let r(i) = i**3 - 6*i**2 - 8*i + 10. Let q be r(t). Let 0*s - 2*s**q + s + s = 0. Calculate s.
-1, 0, 1
Let o(a) be the second derivative of a**7/21 + a**6/15 - a**5/5 - 13*a. Factor o(h).
2*h**3*(h - 1)*(h + 2)
Let d(h) = -h**3 - h. Let a(o) = o**4 - 5*o**3 - 2*o**2 - 5*o + 1. Let r(p) = -a(p) + 5*d(p). Solve r(u) = 0 for u.
-1, 1
Let j(f) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
**7/2520 + k**6/720 - 17*k**4/2 + 86*k. Let z(o) be the third derivative of w(o). What is z(1)?
-16
Let a(p) be the third derivative of -p**4/12 + 5*p**3/3 - 6*p**2 - 38*p. Suppose -13 - 13 = -j. Suppose -j = -5*f + 14. Determine a(f).
-6
Suppose -90 = -8*i - 282. Let b = -22 - i. Let x(g) = -b - g + 4 + 2*g - 2*g. Calculate x(-5).
7
Let y(z) = 82*z - 1215. Let m be y(15). Let p(u) = -5*u + 29. Calculate p(m).
-46
Let n(r) = -2*r + r**2 + 5*r - 3 + 5*r. Suppose -96 - 76 = 145*y + 698. What is n(y)?
-15
Let m(f) = -f - 42. Let h be m(-44). Let g(y) = -15*y**2 + 13*y + 43*y**2 - 27*y**h. Give g(-9).
-36
Let s(a) = 5*a - 24. Suppose 0 = -4*y + 2*v - 2, 0 = -2*y - 14*v + 12*v - 16. Let f(j) = 2*j - 3. Let p(g) = y*f(g) + s(g). Give p(-16).
1
Let u(m) = -m**2 + 26*m + 906. Let s be u(-20). Let a(i) = 2*i**3 + 27*i**2 - 15*i - 22. What is a(s)?
-8
Let d(l) = -2*l**2 + 10*l + 6. Let f = -21797 + 21797. What is d(f)?
6
Suppose 10 = -2*u, 271*u + 1 = -2*h + 268*u. Let a(c) = c**3 - 5*c**2 - 4*c - 20. Determine a(h).
50
Let v(l) = -3*l**2 - 2*l + 83. Let x(i) = -13*i**2 - 9*i + 330. Let o(c) = -9*v(c) + 2*x(c). Let b(u) be the first derivative of o(u). Give b(1).
2
Let x(g) = 10*g**2 - 109*g - 9. Let p be x(11). Let c(d) = -23 + 3*d + 8 + 12 + d**p + 6. Suppose 3*s - 2*s = -3. Give c(s).
3
Suppose -d + v = -3*v - 19, -d = -v - 7. Let s(r) = -6*r**2 - 2*r**3 + r**2 + 7*r**d + 0 - 6*r**3 + 2. What is s(-5)?
2
Let h(p) = -p**2 - 47816*p + 47800*p - 21 + 2*p**2. Give h(9).
-84
Let k(l) = -2*l**2 + 3*l - 4. Let m(r) = -43 - 31 + 58 - 5*r. Let i be m(-4). Determine k(i).
-24
Let y(k) be the second derivative of -4*k**3/3 - k**2/2 + 3*k - 3. Let r = -50 + 52. Let n(a) = 16*a + 3. Let l(s) = r*n(s) + 5*y(s). Determine l(3).
-23
Let m(x) = -15*x**2 - 5*x + 4. Let b(j) = 30*j**2 + 9*j - 7. Let k(o) = 4*b(o) + 7*m(o). Let t be 15 - (27 + -22 - -11). Give k(t).
14
Let h(r) = r**2 + 19 - 74 - 2*r**2 + 3*r + 27 + 23. Determine h(1).
-3
Let d be ((-6)/(-6))/((-1)/4) - 155. Let b = d - -166. Let x(q) = q**2 - 9*q + 9. What is x(b)?
-5
Let d be (-58)/(-3) - ((-60)/9 + 7). Suppose 9*w = d*w - 10. Let p(v) be the first derivative of -v**4/4 - v**3/3 + v**2/2 - v + 5. What is p(w)?
-2
Suppose -3*u + 105 = -2*w, 5*w - w - 54 = -2*u. Suppose -2*v + 3*q + 21 = 0, 5*v - q = u - 0. Let k(z) = 2*z - 9. Give k(v).
3
Let d(c) = 4*c**3 - c**2 + 1. Let j(p) = -70*p**2 + 274 + 23*p**2 + 32*p + 46*p**2. Let m be j(39). What is d(m)?
4
Let t(j) = j**3 - 6*j**2 + 4*j - 6. Let k = -207 - -214. Let g = 12 - k. Calculate t(g).
-11
Let y = 9527 - 9520. Let u(f) = 3*f**3 - 20*f**2 - 6*f - 13. Calculate u(y).
-6
Let z(b) = -10*b - 382. Let m be z(-36). Let j = 25 + m. Let p(x) = 7 - x**2 - 3 - 6*x + 4*x. What is p(j)?
-11
Let w(c) = -9*c**2 - c + 1. Let b(s) = -18*s**2 - 3*s + 1. Let f(i) = -4*b(i) + 7*w(i). Let v be f(-1). Let h(x) = x**3 - 8*x**2 + 5*x + 7. Determine h(v).
-7
Suppose -37*s + 450 = -31*s. Suppose -4*j - 5*h + s = j, 0 = 4*j - 3*h - 25. Let u(a) = a - 19. Determine u(j).
-9
Suppose 10 = -x + 111. Suppose -2*d + 2 = -5*r - x, -3 = 3*d. Let j = r - -26. Let g(v) = -v**2 + 6*v - 1. Give g(j).
4
Suppose 0 = -3*m + 4*x - 33, -2*m + 2*x + 60 = 80. Let d(b) = 7*b**2 + 50*b + 14. Give d(m).
7
Let o(p) = 2*p**3 - 14*p**2 - p + 69. Let k(w) = w**3 - 7*w**2 + 33. Let x(c) = 7*k(c) - 3*o(c). What is x(6)?
6
Suppose -17*h + 8 = -16*h. Let m(u) = -446*u + 894*u - 446*u + 1 - h. Give m(9).
11
Let j(m) = 3*m**3 - 6*m**2 + 9. Let d(v) = 4*v**3 - 7*v**2 + 10. Let u(y) = 4*d(y) - 5*j(y). Let s be -13 + (-5 - -9) + 9. Determine u(s).
-5
Let b(m) = m**2 + 3. Let i be b(0). Let v(q) = 2 + 10458*q + q**2 - 10458*q - q**i. Determine v(2).
-2
Let h(u) = u**3 + 4*u**2 + 3*u + 2. Suppose -2*s = -4*s. Let g = -3287 - -3290. Suppose -3*f + 3*d - 9 = s, g*f + f - d = -15. Give h(f).
-10
Let z(l) be the third derivative of -l**6/120 - 3*l**5/20 + l**4/2 + 5*l**3/6 + 5*l**2 + 8. Calculate z(-10).
-15
Let o(l) = -4*l**2 - 11*l + 10. Let g(f) = -3*f**2 - 7*f + 9. Let n(t) = 3*g(t) - 2*o(t). Calculate n(4).
-5
Let m(a) be the second derivative of -a**4/12 - 7*a**3/3 - 7*a**2 + 5008*a. Let y(k) = -k**3 - 10*k**2 + k - 2. Let u be y(-10). What is m(u)?
10
Let w(r) be the first derivative of 1/4*r**4 + 18 + r - 2*r**2 + 2/3*r**3. Let d(j) = -j. Let a be d(3). Determine w(a).
4
Let h(l) = -3354*l - 38 - 2*l**2 - 3330*l + 6710*l. Determine h(12).
-14
Let b = 115 - 86. Let t(o) = -24 - 7 + b - o. Calculate t(-6).
4
Let l(v) = -2*v - 1. Let b be (-14)/3 - 9/27. Let n(g) be the first derivative of 3*g**2/2 + g - 176. Let t(k) = b*n(k) - 6*l(k). What is t(2)?
-5
Suppose -6*s = -4*s + 52. Let m = 3 + s. Let z = m + 27. Let r(v) = v**3 - 4*v**2 + v + 1. What is r(z)?
5
Let m(g) be the first derivative of 31*g**2/2 - 226*g + 3190. Determine m(7).
-9
Let k(m) = -2*m**2 + 19*m - 7. Let f be (270/12)/5*2. Determine k(f).
2
Let m be ((-2)/(-6))/(4/12). Let p(l) = 5*l - 5. Let c(j) be the second derivative of -j**2/2 - 15*j + 5. Let d(r) = -6*c(r) + p(r). Give d(m).
6
Let m(t) be the first derivative of -t**4/4 - 8*t**3/3 - 11*t**2/2 - 6*t - 19303. Suppose 0 = -p - 2*p - 21. What is m(p)?
22
Let x(z) = 3*z**2 - 3*z**2 + 1546*z - 1 - 1544*z + 4*z**2. Determine x(1).
5
Let a(r) = -4*r - 27. Let f be (-2)/(-8) + ((-102)/40)/(807/1345). Determine a(f).
-11
Let c(j) = -3*j - 396. Let m(u) = -5*u - 582. Let n(z) = 7*c(z) - 5*m(z). Determine n(-37).
-10
Let b(j) be the third derivative of j**5/15 + j**4/24 + j**3/3 - 2*j**2. Let z = 29760 + -29761. What is b(z)?
5
Let w(z) = 66*z + 154. Let q(c) = 5*c + 12. Let h(o) = 77*q(o) - 6*w(o). Let y(v) = -9*v. Let t(s) = -4*h(s) + 5*y(s). Determine t(-5).
5
Let d(o) = -5*o**2 + 178*o + 19. Let f(c) = -14*c**2 + 494*c + 57. Let i(x) = 11*d(x) - 4*f(x). Give i(-1).
0
Let n(g) = 3*g**2 - 6*g + 6. Let a = -1286 - -1288. Determine n(a).
6
Let p(y) = 22*y**2 + 7. Let k(g) = 34*g**2 - g + 6. Let v(m) = 2*k(m) - 3*p(m). Give v(0).
-9
Let z(a) = 3*a**3 + a**2 + 2*a. Let q(o) = -9*o**3 - 4*o**2 - 9*o + 2. Let i(c) = q(c) + 4*z(c). Calculate i(2).
24
Let l be 9/7*1246/267. Let i(n) = n**2 - 8*n + 13. Give i(l).
1
Let h(o) = -o**2 + 9*o - 30. Suppose 96*y - 19 = 93*y + 4*s, 51 = 5*y + 3*s. Calculate h(y).
-30
Let i(y) be the first derivative of -y**3/3 - 5*y**2 - 7*y - 3392. Calculate i(-5).
18
Let y(p) = 7*p - 5*p + 2*p + p - 14 - 7*p. Calculate y(13).
-40
Let p = 503 + -504. Let i(v) = 10*v - 2. Let t(d) = -22*d + 4. Let f(o) = -5*i(o) - 2*t(o). Calculate f(p).
8
Let p be 2336/(-78) + (-42)/819. Let n(x) = 2*x + 45. Give n(p).
-15
Let w(u) = -u**3 - 20*u**2 + 43*u - 21. Let i be w(-22). Suppose -8 + i = -7*c. Let f(v) = -3*v**3 + v - 1. What is f(c)?
-3
Let u be 12/5 - (1 + 16/(-10)). Let t(n) = -n - n**3 - 5*n**u + n**2 + 5*n**3 - 4. Suppose -35*z = -41*z. What is t(z)?
-4
Suppose -14*o - 90 = -20*o. Let n = o - 13. Suppose -3 = n*s + 2*y + 21, -s = -3*y. Let v(u) = -u**3 - 10*u**2 - 9*u. What is v(s)?
0
Let v(c) be the second derivative of 0*c**3 - 1/2*c**2 - 1/3*c**4 - 2*c + 23 + 1/20*c**5. Let m = 18 + -14. Determine v(m).
-1
Let p(i) = -2*i - 5. Let x(k) = -25*k - 283. Let o be 3/(-4) + -5 + (-126)/24. Let j be x(o). Determine p(j).
11
Let w(o) = 4*o + 2. Suppose 2*c + 8 = 2*p, -3*p + 6*p + 3*c + 12 = 0. Determine w(p).
2
Let y(d) be the second derivative of -1/2*d**3 + d**2 - 1/6*d**4 - 9 + 1/20*d**5 + 3*d. Calculate y(4).
22
Let v(n) be the second derivative of -7*n**3/6 + 9*n**2/2 - 2437*n + 2. What is v(10)?
-61
Let b = -41 + 45. Suppose -15 = -b*x + x. Suppose -n = -x*t - 5, 4*n - n + 2*t = -19. Let w(f) = f**3 + 6*f**2 + 6*f - 1. Determine w(n).
-6
Let j(g) = -2*g**2 + 5*g - 2. Let m(n) = 2*n + 28. Let w be m(-4). Let k be 1/(2 - w/12). Suppose 42*h + k = 43*h. What is j(h)?
-5
Let h be -21 + 17 - (0 + -11). Let z(q) = h*q + 2 - 13*q + 8*q - q. Suppose 2*b + g - 1 + 8 = 0, 2*b = -3*g - 9. Determine z(b).
-1
Let y(g) = 2*g**2 - 7*g + 7. Let x be y(1). Let j(h) be the first derivative of h**4/4 - h**2/2 - 42. Calculate j(x).
6
Let d(c) = -c**2 - c - 3. Suppose 4*r + 26 = 3*m, 525*m - 527*m + 24 = -4*r. Give d(r).
-23
Let i = -38 + 48. Suppose 0 = 4*t - i*t + 12. Let a(p) = 11*p - 10*p + t + 3 - 7. Give a(8).
6
Let c(g) = 3*g. Let x be (4/3)/(((-33)/(-9))/(-11)). Let q(i) = 11*i - 2. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
2. Let p = 1.9 - 1.5. Which is the closest to j? (a) 4 (b) -1.9 (c) p
c
Let x be (-146)/1 + 41 + -37. Let o = x - -177. Which is the nearest to o? (a) -1 (b) 0.3 (c) 0.2
b
Let f = -1.04 + -0.26. Let c = f + 0.3. Let z = 10822.6 - 10823. What is the closest to -0.2 in z, c, 3?
z
Let j = 41344/7 + -5906. What is the closest to 2 in 0.4, j, -8/7?
0.4
Let t = -0.95 - -1. Let j be 1075/(-195) + 6 + 24/(-72). Which is the nearest to -1? (a) -2/11 (b) j (c) t
a
Let u = 82.6 + -77.6. Let o = 8 - u. Let k(t) = t - 4. Let z be k(6). Which is the closest to -0.09? (a) 5 (b) o (c) z
c
Let u = -16 + -2. Let t be (0 - (-32)/u) + 2. Let b = -1.739 + 1.939. What is the nearest to b in t, -2, -3?
t
Let d = 4287 - 4291. What is the closest to 2/15 in d, -6, 4, 2/7?
2/7
Suppose i - 484 = o + 4*o, -5*o + 3*i = 492. Let m be 4/26 + o/(-3432). Which is the closest to 4? (a) m (b) 4 (c) 9 (d) -3
b
Let x = -10 + 7. Let l = 13835 - 13835.3. Which is the closest to x? (a) -1/6 (b) -0.2 (c) 0.1 (d) l
d
Let j = 156/35 + -34/7. Let i = 2.936 + -2.836. What is the closest to i in 2, j, 4/9?
4/9
Let r = 8564 - 8561.2. Let l = -0.3 + 0.4. Which is the nearest to 0.1? (a) r (b) 0.4 (c) l
c
Let w = -53.7 + 54. Let g(h) = -h**3 + 7*h**2 - 8*h - 1. Let a be g(6). Let x be 8/84 - 44/(-77). What is the nearest to x in -3/7, a, w?
w
Suppose -838*n + 149 - 839 = -976*n. Let w = 7.26 - 0.26. Let k = -1 + 1.2. Which is the nearest to w? (a) n (b) k (c) 1/3
a
Let x be 1/3 - (-10)/(-21). Let w = 5.2996 + -5.2166. Which is the closest to 2/7? (a) x (b) 3 (c) w
c
Suppose -24*l - 10 = -19*l. Let r = 42 - 51. Let s = 13 + r. Which is the nearest to s? (a) 5 (b) 1/8 (c) l
a
Let c be 33/6 + (0 - 2) - (53 + -48). What is the nearest to 24 in 0.3, -0.05, c?
0.3
Let a(d) be the first derivative of d**4/4 + 26. Let i be a(-1). Let u be -3 - (i - (7 - 3)). What is the closest to u in -2/7, -3/7, 2?
2
Let y be -8 - (3 - 6 - 0). Let x = 500 - 1003/2. What is the nearest to -1 in x, y, 1/3?
x
Let f = -34.3945 + 2.3945. What is the nearest to 13/8 in 1, -2, f?
1
Let s = -19/16 - 55/48. Let k = 215.2 + -215. What is the closest to k in s, 0.3, 4?
0.3
Let d = 1895.99 - 1896. What is the closest to 0 in -2, 0.18, d?
d
Let o = 4.09448 - 0.09448. Which is the closest to 1/5? (a) o (b) 0.15 (c) -1/9 (d) -4
b
Let q be -7 + (-3 + 1)/((228/(-24))/19). Which is the nearest to 23? (a) -1/5 (b) 1/5 (c) q (d) -1/6
b
Let w be 4 + (-1059)/299 - 1. Let m = w + 16/23. Which is the nearest to -0.9? (a) m (b) 2 (c) 2/17 (d) 3
c
Let c = -0.5242 + 0.6242. What is the closest to -2/3 in c, -2/9, 4/5, 8?
-2/9
Let t(p) = p**3 + p**2 - 2*p + 1. Let y be t(0). Let w = 988 + -990. Which is the nearest to w? (a) 0 (b) y (c) 0.4
a
Let q = 1.9634 + -3.9634. What is the nearest to -0.66 in -2/7, 1/7, q, 4?
-2/7
Let u = -92.33 - -89.33. Which is the nearest to u? (a) -12 (b) 0.1 (c) -0.3
c
Let a = -448 + 445. Let y = 49.9 - 44. Let j = y + -1.9. What is the closest to 0.2 in a, 0.2, j?
0.2
Let m = 1 + -1.15. Let f = -2358 - -2359. What is the closest to f in 3, m, -1/4?
m
Let i = 1.3 + -0.3. Let q = 72235 - 72233. What is the nearest to -6 in i, -5, q, -1/3?
-5
Let s = 1939 - 1939.3. Which is the closest to -0.1? (a) 6 (b) 25 (c) -0.1 (d) s
c
Let s be 589/4960*-4 - -3*2/16. What is the closest to -0.02 in -1, -10, -4, s?
s
Let s(g) = 842*g + 7734. Let u be s(-9). What is the nearest to -2 in -0.2, 1/4, -4, u?
-0.2
Suppose -q = -4*a + 6667 - 6701, 58 = 2*q - 3*a. What is the closest to -0.1 in 28, 2/9, q, 1/6?
1/6
Let q = 2932/2435 - 2/487. Let a = 103142/7 + -14735. What is the nearest to 1 in a, 2, 0.03, q?
q
Let z = -512 + 575. What is the nearest to z in 0, -2/7, 3/5?
3/5
Let u = -253.8 + 255.8. Let z be 1 + (-4)/(-10)*(-15)/12. Which is the nearest to 1? (a) z (b) u (c) -1/3 (d) 1
d
Let t = -166.1 + 166. Let u = -1.35 + 0.35. What is the nearest to t in 0.1, -4/3, u?
0.1
Let a = 3 - 3.004. Let x be ((3/11)/(417/(-556)))/2. What is the closest to 0 in a, x, -0.5?
a
Let a be 1026/3040 - (-13)/208. What is the closest to 1 in 2, 43, a, 4?
a
Let k be (-1 + 4)/(1092/(-56)). What is the nearest to -10/3 in 4, 3/5, k, -3/4?
-3/4
Let t = -339.2 + 471.06. Let b = t + -130. Let p = b - -0.14. What is the closest to 0.1 in p, 2/13, -0.2?
2/13
Let b = 1.256 - -0.104. Let c = -1.86 + b. What is the closest to 2/3 in c, 1, -2/11?
1
Let t = 74 - 66. Let l be 14/(-3) + (-10)/(-15) + t. Let j = -0.03 + -0.97. What is the nearest to -1/2 in l, j, -2/11?
-2/11
Let z = -15.37 - -1.37. Let k(w) be the second derivative of -w**5/20 + 17*w. Let n be k(1). Which is the nearest to n? (a) -3 (b) z (c) -2
c
Let i = 500.25 - 10.25. Let m = 492 - i. Which is the nearest to m? (a) -3 (b) -2.2 (c) -4 (d) 2/3
d
Let k be (1*2)/(-2)*-7. Let d = 7.61 + -5.68. Let h = d - 2.13. What is the nearest to -0.2 in k, 2, h?
h
Suppose 3*v = -v. Let u = 655 + -654. Which is the nearest to 0? (a) v (b) 11 (c) u
a
Let q = 8327 + -8326.9. Which is the nearest to q? (a) -1.1 (b) 2 (c) -3 (d) -2
a
Let v = 488.7 + -488.2. Which is the nearest to 0? (a) 2/13 (b) v (c) 108
a
Suppose -l + 4*m - 37 = 0, -22*m = -4*l - 20*m - 176. Which is the closest to l? (a) -0.7 (b) 4 (c) -2/3 (d) 0
a
Let t = 0.6532 + 0.1598. Let n = t + -1.213. Which is the nearest to -7.8? (a) n (b) -1/4 (c) 2
a
Let h = -2072.8 + 2081. Let c = -8.416 + 0.016. Let v = c + h. What is the nearest to 2 in -3, v, 15?
v
Let u = 4710 + -4713. Which is the nearest to u? (a) -11 (b) -5 (c) 3 (d) 4
b
Let k = -5667 - -5666.9. What is the nearest to -10 in k, 2/13, 15, 0.02?
k
Suppose 297*z - 308*z + 374 = 0. Suppose 2*f - z = -34. Which is the nearest to 0.6? (a) 3 (b) -3 (c) 1/2 (d) f
c
Let v = 17.5 + -117.5. Let y = 99.9 + v. What is the closest to -0.1 in y, 1/7, -1/5?
y
Let v = -43 - -43. Let f = 16.41 - 20.41. Which is the closest to v? (a) -1/6 (b) f (c) 0.09
c
Let u = -8 + 11.4. Let s = 2.6 + u. Let j = -2 + s. Which is the nearest to -0.1? (a) j (b) 5 (c) -3/4
c
Let h = -73 + -42. Let x be 48/(-12) + (h - 1). Let j be 45/x*(-1)/(1/2). Which is the nearest to 1/4? (a) -2/13 (b) 2/3 (c) j
a
Let k = -0.49321 - 0.00679. Which is the nearest to 1/2? (a) -12 (b) k (c) 0.5 (d) -0.3
c
Let s = -7.313 - -6.313. Let b = 2382/85 - 141/5. What is the nearest to s in -1, b, 0.2?
-1
Let n = 10.85 - 11.65. What is the closest to -3 in -3, -1/11, n?
-3
Let i = 21 + -22.4. Let f = 1.6 + i. Let n = 5.0489 + -0.0489. What is the nearest to f in -0.1, -4, n?
-0.1
Let m = 7366.23 + -7366. What is the closest to -0.28 in -0.4, m, 1?
-0.4
Let z = -758.1 + 758. What is the closest to z in -18, -1/6, 15?
-1/6
Let l = -1.2 + 0.2. Let q = 0.0258237 - -0.9741763. Let h = 7.3 - 7. What is the nearest to l in q, 0.5, h?
h
Let q = 225/71 + -20167/6319. Which is the nearest to -1/2? (a) 3 (b) 2 (c) q
c
Let d = -1404 - -803. Let b = 601 + d. Let w be (-2)/(-5) + (-11)/40. What is the closest to -1 in -3, b, w?
b
Let n = 5601.9 + -5602. What is the closest to 2 in -3, n, 2/3, -11?
2/3
Let s = 89.44 - 94. Let q = s + -0.44. Suppose -l = -3*c - 15, -4*c = 2*l - 0*l + 10. What is the closest to 0.2 in -3, q, c?
-3
Let u = -139.77 + -3.23. Let n = u - -142.929. Let v = -2.929 + n. Which is the nearest to 0? (a) 4/5 (b) v (c) 3/4
c
Let h be (24/(-7))/((-81)/27). Let j = -19 + 18.8. What is the closest to 4 in -2/15, h, j?
h
Let d = 9966 + -9959. Which is the nearest to -3.7? (a) -2/3 (b) 0.5 (c) d
a
Let c = -2/3 + 1/3. Let f be (-6)/3*(4 + -6) + 210/(-55). Let y = 1.5 - -0.5. What is the closest to -5 in y, c, f?
c
Let b = 28.5 + -28.9. Let y = 5 + 10. Let l be 85/y + (-2)/(-6). What is the closest to 1 in b, l, -1/6?
-1/6
Let n be 261/918 - 1/6. Let h = 22/1201 - -1135/3603. Which is the closest to h? (a) n (b) 3 (c) 4
a
Let x = 227411 + -227411. Let y = 0.3 - 0.1. Let u = y + -0.2. Which is the closest to x? (a) 0.5 (b) -2/5 (c) u
c
Let o = -76.52 - -77. Let l = 3.48 - o. Which is the closest to 0? (a) 0.5 (b) l (c) -3.3
a
Let n = -0.13 - -3.13. Suppose -12 = 16*m + 20. Let d be (392/(-64) - -6)/(m/8). What is the closest to d in -0.2, 2, n?
-0.2
Let x = 62 + -43. Let d = x + 6. Let n = d - 25.1. Which is the nearest to 0? (a)
|
{
"pile_set_name": "DM Mathematics"
}
|
4
Put 2, -14, -2/17 in increasing order.
-14, -2/17, 2
Sort -8, -34, 1 in descending order.
1, -8, -34
Sort 1, -16, 0, 2, -5 in descending order.
2, 1, 0, -5, -16
Sort 0, -0.1, 1.4 in decreasing order.
1.4, 0, -0.1
Put -5, 52, 6 in descending order.
52, 6, -5
Sort 2, -11, 0, 40 in decreasing order.
40, 2, 0, -11
Put -135, 3, -1 in ascending order.
-135, -1, 3
Put -0.2, -0.4, 5/6 in ascending order.
-0.4, -0.2, 5/6
Put 0.2, 1/8, -19 in descending order.
0.2, 1/8, -19
Sort 9, -26, 3, 2/7 in increasing order.
-26, 2/7, 3, 9
Sort 4, -125, 2 in descending order.
4, 2, -125
Sort 2, 1, -8, 4 in ascending order.
-8, 1, 2, 4
Sort 1/3, 2, 3, 0.3.
0.3, 1/3, 2, 3
Put -0.4, 7/5, -8, -1, -5 in descending order.
7/5, -0.4, -1, -5, -8
Put 14, -3, 44, 5 in descending order.
44, 14, 5, -3
Sort -4, 3, 1/9, -2/3.
-4, -2/3, 1/9, 3
Put 4, 2, 0, -11, -13 in increasing order.
-13, -11, 0, 2, 4
Sort -2/9, 6, 5 in increasing order.
-2/9, 5, 6
Sort 803, 3, -0.4, -2 in increasing order.
-2, -0.4, 3, 803
Sort 2/3, -5/3, 0, -0.4 in descending order.
2/3, 0, -0.4, -5/3
Put 0.0498, 5, 0.5, 2, -3 in descending order.
5, 2, 0.5, 0.0498, -3
Put -3, 16, -6 in increasing order.
-6, -3, 16
Sort -4, -3, 4, -472, 3.
-472, -4, -3, 3, 4
Sort 10, -6/11, 4, 0.
-6/11, 0, 4, 10
Sort 2, -8, 0, -7.
-8, -7, 0, 2
Sort 3, 5, -11, -5 in increasing order.
-11, -5, 3, 5
Sort 0.3, 1, -1/2, -1/4 in decreasing order.
1, 0.3, -1/4, -1/2
Sort 0, -2, -4, -20, -1 in increasing order.
-20, -4, -2, -1, 0
Sort -1, -44, -4, 0.
-44, -4, -1, 0
Sort 3, -417, 4.
-417, 3, 4
Put 1, -5, -20 in ascending order.
-20, -5, 1
Put -5, -88, -0.2, -0.4 in decreasing order.
-0.2, -0.4, -5, -88
Put -5, 0.5, 1/6 in increasing order.
-5, 1/6, 0.5
Sort 10, -1, 0, -3, 2 in descending order.
10, 2, 0, -1, -3
Sort 1, 5, -0.0484, -2, -5.
-5, -2, -0.0484, 1, 5
Put -2, 60, 2 in decreasing order.
60, 2, -2
Sort 1/5, 5, 2, -1291 in decreasing order.
5, 2, 1/5, -1291
Sort -171/2, -5, 0.24 in decreasing order.
0.24, -5, -171/2
Put -2/7, -0.2, -35, 6.9 in descending order.
6.9, -0.2, -2/7, -35
Put -0.5, -3, 4, -2 in decreasing order.
4, -0.5, -2, -3
Put -3, -4, 2, 4, -14 in ascending order.
-14, -4, -3, 2, 4
Sort -0.3, 1, 199 in decreasing order.
199, 1, -0.3
Sort -3, -9, 3, 4 in decreasing order.
4, 3, -3, -9
Sort 3, 0.5, -3/2, -0.08, 22 in decreasing order.
22, 3, 0.5, -0.08, -3/2
Put 0, -0.4, -3, 2/11 in descending order.
2/11, 0, -0.4, -3
Sort -0.3, -5, -634, -1.
-634, -5, -1, -0.3
Sort -2, -90, 3/2, 4 in ascending order.
-90, -2, 3/2, 4
Sort 0, -538, 5, 7 in decreasing order.
7, 5, 0, -538
Sort -2, 15, 2, 0, -5 in increasing order.
-5, -2, 0, 2, 15
Put -3/2, -467/3, 0.1 in descending order.
0.1, -3/2, -467/3
Sort 97, 4, 2 in increasing order.
2, 4, 97
Put -7, 10, 4 in descending order.
10, 4, -7
Sort 3, -4, -15568 in descending order.
3, -4, -15568
Put -0.08, 1/2, 18 in descending order.
18, 1/2, -0.08
Sort -1, -474, -17.
-474, -17, -1
Sort -4, 3/5, -3/4, 4/11.
-4, -3/4, 4/11, 3/5
Put 2, -1, -94 in descending order.
2, -1, -94
Sort 5, 20, 2.
2, 5, 20
Sort 0.1, 0.68, -2/17, 1/3, 2/7 in increasing order.
-2/17, 0.1, 2/7, 1/3, 0.68
Put -5, 0, -3, -8, 11 in decreasing order.
11, 0, -3, -5, -8
Sort -1/8, 0.3, 2/9, -10/7, -2/11 in decreasing order.
0.3, 2/9, -1/8, -2/11, -10/7
Sort 2, 0, 5, -39.
-39, 0, 2, 5
Put -115, -4, -19 in ascending order.
-115, -19, -4
Sort 1/4, 3, 2, 2/41.
2/41, 1/4, 2, 3
Sort -3, 0, -1, 12, 0.2 in descending order.
12, 0.2, 0, -1, -3
Put -75, -4, 3, -5, 1 in increasing order.
-75, -5, -4, 1, 3
Put 4, -5, 17, 2, 1 in ascending order.
-5, 1, 2, 4, 17
Put -5, -14, 3, -2 in decreasing order.
3, -2, -5, -14
Sort -7, 3, 6 in decreasing order.
6, 3, -7
Put 5, 2, 114, -4, -2 in descending order.
114, 5, 2, -2, -4
Put 2, -5, 57, 16 in decreasing order.
57, 16, 2, -5
Put -14, 3, -1 in descending order.
3, -1, -14
Sort 2/33, -1, 18 in decreasing order.
18, 2/33, -1
Put 1, -111, -2, -3, 5 in increasing order.
-111, -3, -2, 1, 5
Sort 11, 3, -4 in ascending order.
-4, 3, 11
Sort 9, 3, -378, 5.
-378, 3, 5, 9
Put 2, -1, -43 in ascending order.
-43, -1, 2
Sort -1, -30, 6, -4 in decreasing order.
6, -1, -4, -30
Put 17, -2, -3, -1, 5 in descending order.
17, 5, -1, -2, -3
Put 4, 0, 1315 in ascending order.
0, 4, 1315
Sort -4, -705, -0.4.
-705, -4, -0.4
Sort 0.03, 5, -24/11 in decreasing order.
5, 0.03, -24/11
Sort 2/13, -52/7, 226 in descending order.
226, 2/13, -52/7
Put 0.05, -4, -30 in decreasing order.
0.05, -4, -30
Sort 10/11, 11, -1, 3 in increasing order.
-1, 10/11, 3, 11
Sort 5, 57, 6 in decreasing order.
57, 6, 5
Sort -1, -5, 1, 344.
-5, -1, 1, 344
Put -6, -2, -3, 37 in ascending order.
-6, -3, -2, 37
Put -1/4, 1.3, 4 in descending order.
4, 1.3, -1/4
Sort -9, 5, 0, -8, 4 in descending order.
5, 4, 0, -8, -9
Sort 3, 16345, -1/2 in descending order.
16345, 3, -1/2
Put 0, -232, 19 in descending order.
19, 0, -232
Sort 43, 16, 4/5 in descending order.
43, 16, 4/5
Sort 10/3, -2/3, -6, -2 in decreasing order.
10/3, -2/3, -2, -6
Put 3, 0.62, 2, -0.5 in increasing order.
-0.5, 0.62, 2, 3
Put -8/5, 0.1, -5, 3/5, 0.3 in ascending order.
-5, -8/5, 0.1, 0.3, 3/5
Sort -12, -7, 3, -5, -1 in increasing order.
-12, -7, -5, -1, 3
Sort 1/20, -1/5, 0, -4 in increasing order.
-4, -1/5, 0, 1/20
Put -1, -0.022, -19 in descending order.
-0.022, -1, -19
Put 9, 2/7, -1/18 in decreasing order.
9, 2/7, -1/18
Sort -2, 15, 2, -5 in increasing order.
-5, -2, 2, 15
Sort -4, 1, 68, 3.
-4, 1, 3, 68
Put 0.5, -28, 4 in descending order.
4, 0.5, -28
Sort -2, 2, 27 in descending order.
27, 2, -2
Sort 2, 5, -4, -14, -3.
-14, -4, -3, 2, 5
Put 13, 4, 1/3, 0 in descending order.
13, 4, 1/3, 0
Sort -2, 8, -8, 35 in increasing order.
-8, -2, 8, 35
Sort -103, 0, -4, 2 in ascending order.
-103, -4, 0, 2
Put -4, 5, -9 in decreasing order.
5, -4, -9
Sort 0, 1, 4, -3, 3 in descending order.
4, 3, 1, 0, -3
Sort -5, -139, 1, 3 in decreasing order.
3, 1, -5, -139
Put -2, -1/3, 2/21, -0.5, -25 in increasing order.
-25, -2, -0.5, -1/3, 2/21
Sort -4, 2, -6, -12.
-12, -6, -4, 2
Sort 1, -2, 150, -4 in descending order.
150, 1, -2, -4
Sort 117, 1, -2, 3, -5 in increasing order.
-5, -2, 1, 3, 117
Sort -1/3, -1/4, 3/8, 0 in ascending order.
-1/3, -1/4, 0, 3/8
Put 1, 7, 2/11 in increasing order.
2/11, 1, 7
Sort -1, -57, -7.
-57, -7, -1
Sort -2/11, -1/4, -79 in descending order.
-2/11, -1/4, -79
Sort 5, -91, 2, -1, -4 in increasing order.
-91, -4, -1, 2, 5
Put 0.1, 21/2, 3 in descending order.
21/2, 3, 0.1
Sort -2, 305, -5, 4 in decreasing order.
305, 4, -2, -5
Sort -3, 2, -330, -2.
-330, -3, -2, 2
Sort -5, 4, 18, -6 in descending order.
18, 4, -5, -6
Sort -3, -0.3, -60/13 in decreasing order.
-0.3, -3, -60/13
Sort 115, 2, 5, 3 in ascending order.
2, 3, 5, 115
Put 3, 890, 0, -4 in descending order.
890, 3, 0, -4
Put 0, 2/21, -0.2, -1.4, -7/9 in decreasing order.
2/21, 0, -0.2, -7/9, -1.4
Put -1/2, 0.1, -3, 3 in descending order.
3, 0.1, -1/2, -3
Put -3, 8, 1, -4 in descending order.
8, 1, -3, -4
Sort -6, 2, 2/7 in descending order.
2, 2/7, -6
Sort -4, 1, -917 in descending order.
1, -4, -917
Sort 53, 3, 1, 0 in increasing order.
0, 1, 3, 53
Sort -0.4, -6, -1, -3, 335 in descending order.
335, -0.4, -1, -3, -6
Put 6, 4, -30 in decreasing order.
6, 4, -30
Sort -3, 5, -1/6, -1672.
-1672, -3, -1/6, 5
Put 1/3, 2, -18 in descending order.
2, 1/3, -18
Sort -1, 7, 6.
-1, 6, 7
Sort 4, -12, 3, -4 in decreasing order.
4, 3, -4, -12
Sort 16, -3/8, 5.
-3/8, 5, 16
Put 0, -3, 17, 1 in increasing order.
-3, 0, 1, 17
Put -79, 1, -5, -4 in decreasing order.
1, -4, -5, -79
Sort 4, -1/7, -0.2, -2/7, 5/16 in increasing order.
-2/7, -0.2, -1/7, 5/16, 4
Sort -5, -6, 214, -3, -4 in descending order.
214, -3, -4, -5, -6
Sort 0, 0.5, -0.0845.
-0.0845, 0, 0.5
Put 16, 4, -1, -5, 5 in descending order.
16, 5, 4, -1, -5
Sort 0.6, -2/21, 29, 0.2.
-2/21, 0.2, 0.6, 29
Put -7, -0.96, -3 in descending order.
-0.96, -3, -7
Put 4, -29, 2, -1 in decreasing order.
4, 2, -1, -29
Sort -20, 0, 35 in descending order.
35, 0, -20
Sort 0, -0.2, -8.7, -0.5 in increasing order.
-8.7, -0.5, -0.2, 0
Sort -69, 3, 2 in decreasing order.
3, 2, -69
Sort 83, 2, 17 in ascending order.
2, 17, 83
Sort 2/3, 0.11, 0.1, -4 in decreasing order.
2/3, 0.11, 0.1, -4
Sort 0.1, 14, -3/10 in decreasing order.
14, 0.1, -3/10
Put -4, 1/96, -0.1
|
{
"pile_set_name": "DM Mathematics"
}
|
f?
5
Let y = -240 - -245. Let g = -1.3 - -0.3. Which is the smallest value? (a) g (b) -4/7 (c) y
a
Let i = -4 + 4.4. Let u = -8/45 - 1/45. Which is the third smallest value? (a) u (b) i (c) -3
b
Let p(o) = o**3 - 2*o - 1. Let d be p(-1). Let l = -0.12 + -0.18. What is the smallest value in l, -5, d?
-5
Let f = 87 + -433/5. What is the second smallest value in -1/4, -0.1, f?
-0.1
Suppose 99 = -5*l + 24. Let f = l - -16. What is the third biggest value in f, 5, -3?
-3
Let w be 15/(-35)*(-2)/138. Let c = w + -7/69. Let j be -1 + (-16)/14 + 2. What is the third biggest value in c, 4, j?
j
Let g = -0.2 + -0.3. Let k = 2 - 0. Suppose -5*s + 1 = -24. Which is the second smallest value? (a) s (b) k (c) g
b
Let q = -5.12 - -0.12. Suppose 2*l + 4 = -2*z - 0, 5*z + 14 = -3*l. Which is the second smallest value? (a) 0 (b) z (c) q
b
Suppose y - 50 = 3*h, 0 = -h - h - 2*y - 44. Let o be (-4)/h - (-1 - -1). Let m = 0.3 - 0.1. What is the third smallest value in m, 0, o?
o
Let w = 9.3 + -9.2. What is the biggest value in 1/4, w, -5, 0?
1/4
Let j(s) = s**3 + 6*s**2 - 9*s - 10. Let d be j(-7). Let v be d/2 - 12/36. Let o = -882/11 - -80. What is the third smallest value in o, v, 1/3?
v
Let c be (1693*4/(-10))/34. Let s be -1 + ((-456)/20 - -4). Let k = c - s. What is the smallest value in -0.2, k, 3?
-0.2
Let s = -8.5 + 8. Let h = 0.2 + s. Let f = 0.4 - 0. What is the second smallest value in h, -1, f?
h
Let h = -147/4 + 1045/28. Let g = -14.8 - -15. Which is the smallest value? (a) h (b) g (c) -4
c
Let u be ((-2)/8)/(27/(-36)). Let l = 6 - 4. Let j be ((-1)/14)/(l/(-12)). Which is the smallest value? (a) u (b) -2 (c) j
b
Let h = -22 + 108/5. What is the second smallest value in -4, h, 2/5?
h
Let t = -0.23 - -0.03. Which is the third smallest value? (a) 27 (b) -1/3 (c) t
a
Let w = 0.162 + -0.062. Let f = 27 + -19. Let m = -11 + f. Which is the smallest value? (a) 0.4 (b) m (c) w
b
Let d = 0.13 + -5.13. Let q = 22 + -56. Let i be 1 - 1 - (-4)/q. What is the second biggest value in 5, i, d?
i
Suppose 3*m + 18 = 8*m + u, -5*m + 30 = 5*u. What is the second smallest value in 2/71, -0.1, m?
2/71
Let l = -0.16 + -0.54. Let f = 0.1 + 0. Let w = -0.4 + f. Which is the biggest value? (a) l (b) 2 (c) w
b
Let u = 13 + -8. Let z be (-4)/10 + (-8)/u. Let g be z/5 - (-144)/285. Which is the biggest value? (a) -4 (b) g (c) -3
b
Let a = 6.4 - 6. Suppose 12 = 6*g + 6. What is the biggest value in a, -1/2, g?
g
Let z = 0.84 - -4.04. Let d = z + 0.12. Which is the second biggest value? (a) 0.5 (b) 4/3 (c) d
b
Let b = 0.3 - -0.2. What is the biggest value in b, 1/5, 3/4?
3/4
Let c = -1 + 0.9. Let j = -0.4 - -0.45. Let s = j - 3.05. What is the second smallest value in s, c, 3?
c
Let k = -1.6 + 2.1. Let m be 3/(-18) - (-1)/(-3). Which is the second smallest value? (a) k (b) m (c) -4
b
Let z = 5132/55 + -472/5. Which is the biggest value? (a) 1/3 (b) 4 (c) z
b
Let g be 8/2 - (1 - 35/(-11)). What is the third smallest value in -3, 0.1, g, 3?
0.1
Let m = 10.5 - 11. What is the smallest value in 2/13, 3/5, m?
m
Let u be (3 + (-47)/6 - -1) + 4. What is the second smallest value in u, 0.5, -0.9?
u
Let g = -1 - 3. Let t be ((-1)/(-5))/(g/10). Which is the biggest value? (a) 3 (b) 5 (c) t
b
Let t = -1.5 - 5.5. Let c = -1 + 0. What is the biggest value in t, c, 0.4?
0.4
Let d = -0.2 - -0.1. Let o = 370 + -2594/7. What is the third biggest value in 0.1, o, d?
o
Let d = 1.5 + -1.5. Which is the second smallest value? (a) d (b) 3/7 (c) 2/5
c
Let b = -0.2 + 0.3. Suppose 25 = 2*z - 7*z. What is the second smallest value in b, 1/5, z?
b
Let s = -5/14 - 8/7. Which is the second smallest value? (a) 3 (b) s (c) -1/16
c
Let f = -0.3 + 0.7. Which is the biggest value? (a) 0.2 (b) f (c) -1
b
Let t be ((-1)/(-6))/((-21)/(-18)). What is the third smallest value in 2/5, t, -3?
2/5
Let w = -0.2 - -0.6. Let s = 1.1 + w. Let y = 2 - s. What is the smallest value in 0.4, y, 3?
0.4
Let k = 102.4 - 102. Which is the second smallest value? (a) -0.3 (b) 5 (c) k (d) -2/45
d
Suppose 19*d - 18*d + 5 = 0. What is the second smallest value in -1/5, d, -0.09?
-1/5
Let s = -0.6 - 0. Let p = s + 0.63. Let v = 0.13 - p. What is the second biggest value in v, 5, 2/3?
2/3
Let g(u) = -u**2 - u + 2. Let t be g(-3). Let m be 1 - 4/5*1. Which is the smallest value? (a) m (b) t (c) 0
b
Let o = -10 + 15. Let a = -17 + 9. Let i be 1/2 + 2/a. What is the third biggest value in i, o, -5?
-5
Let a = 4 + -2. Suppose -a*n + 0 = -2. What is the third biggest value in n, 0.5, -1?
-1
Let m be 26/(-24) + 3/9. Let t = -668/5 - -134. Which is the biggest value? (a) m (b) t (c) -1/8
b
Suppose -2*q + q - 3 = 0, 0 = -4*k - 4*q - 4. Let j be ((-2)/(-2) - 1)/k. Let n = 59 - 57. Which is the biggest value? (a) j (b) n (c) 1
b
Let o = -4.961 + -0.039. Which is the second smallest value? (a) -4 (b) o (c) -3/5 (d) -0.5
a
Let i(y) = -y**2 + 12*y - 3. Let l be i(12). Let k be 2/(-8)*11 - l. What is the second biggest value in k, -0.4, -2?
-0.4
Let n = 0.12 - 0.22. Which is the biggest value? (a) 1 (b) -5 (c) 4 (d) n
c
Let r = -0.77 - 0.23. Which is the biggest value? (a) 2 (b) -5 (c) r
a
Let l be ((-40)/84)/(-10) - 1/3. Which is the third biggest value? (a) -5 (b) -2 (c) -4/5 (d) l
b
Let l = -1 + 1.1. Let r(q) = -q**2 + 4*q + 7. Let p be r(6). Which is the third biggest value? (a) l (b) 5 (c) p
c
Suppose -6 = n - 3. Let s = -0.95 - -1.45. Which is the biggest value? (a) n (b) s (c) -4
b
Let m = -0.05 + 2.05. Let u = 2.5 - m. Which is the third smallest value? (a) -1 (b) u (c) 2/9
b
Suppose -2*o + 5*o - 15 = 0. Let s be 2/3 - (-224)/(-3). Let w be s/140 - 3/(-7). Which is the second biggest value? (a) o (b) 3 (c) w
b
Let m = 4/65 - -14/195. Which is the biggest value? (a) 0.02 (b) 1 (c) m
b
Let q(z) = -12*z + 2. Let r be q(1). Let n be ((-2)/r)/((-54)/(-45)). Which is the biggest value? (a) 0 (b) 0.2 (c) n
b
Let d be 128/156 + (-4)/26. Let h be (-2 + 0)*(-2)/92. Let t = -26/69 + h. Which is the third smallest value? (a) t (b) 0.4 (c) d
c
Suppose -5*y = -0*b - 2*b - 142, y = 0. Let v = 354/5 + b. Let o = 0.5 - 0. What is the second biggest value in v, o, -5/6?
v
Let m = -0.2 - 0.3. Let b(k) = -k**2 + 9*k - 5. Let c be b(9). Let j = c + 0. What is the biggest value in j, 3/7, m?
3/7
Let i = 3 + -7. Let m = -9 - i. Which is the third biggest value? (a) m (b) -0.1 (c) -0.3
a
Let m = 6.7 - 7. Let o be -3 - (-1 - (-32)/(-12)). Which is the second smallest value? (a) m (b) o (c) 1
b
Let o(n) = n**2 + 15*n + 52. Let x be o(-9). Which is the second biggest value? (a) -4 (b) x (c) -5/4 (d) -0.1
c
Let v be ((-3)/(-2))/(27/(-12)). What is the fourth smallest value in 0.02, v, 5, -7?
5
Let b = -0.46 + 0.36. Let h(p) = p + 10. Let r be h(-8). What is the third smallest value in r, -3, b?
r
Let s = -19 + 19. Let r be 1*-10*6/(-15). Which is the second biggest value? (a) s (b) -2 (c) r
a
Let c = 16920 - 3908537/231. Let d = c - 7/33. Let b = -5.1 + 2.1. What is the third biggest value in b, d, 3?
b
Let u = 1783/15 - 119. What is the second smallest value in -0.01, 0.5, u?
-0.01
Let t = -10 - -6. Let o(y) = -y + 3. Let c be o(6). Let u be (-3)/12 - c/(-4). What is the third smallest value in u, -5, t?
u
Let y = -5 + 51/10. Which is the second biggest value? (a) y (b) 3/2 (c) 5
b
Let z = -49 - -50. Which is the third smallest value? (a) 0 (b) z (c) 2 (d) -0.4
b
Suppose 2*u - 22 = -56. Which is the second biggest value? (a) u (b) -3 (c) -0.1 (d) 5
c
Let m = 333 - 333.3. Let x = -1.04 + 1. Which is the second biggest value? (a) x (b) 1/7 (c) m
a
Let k = -13 - -10. Which is the second biggest value? (a) k (b) 4 (c) -1/4
c
Let w = 13 - 11. Which is the second biggest value? (a) -5 (b) 0.5 (c) w
b
Let u = 8.2 + -8. Let o be -2*(-1)/(-8)*-1. Which is the smallest value? (a) o (b) u (c) -0.1
c
Suppose 3 = 2*s + 1. Let t = s - -18. Suppose 5*h + t + 6 = 0. What is the second smallest value in -2, h, 0.4?
-2
Suppose 21 = -3*l - 24. Let h be 13 + l + 40/22. Let g = -7 - -12. What is the second biggest value in g, h, 0.5?
0.5
Let q = -1529.935 - -1534. Let j = 0.175 - q. Let i = j + -0.11. What is the third smallest value in i, -3/2, 2/3?
2/3
|
{
"pile_set_name": "DM Mathematics"
}
|
4*z
Collect the terms in -5861*f**3 - 17839*f**3 + 23701*f**3.
f**3
Collect the terms in 7512 + 9*i**2 - 14997 + 7485.
9*i**2
Collect the terms in 34*f**2 - 73*f**2 + 34*f**2 - 6*f**3.
-6*f**3 - 5*f**2
Collect the terms in 2*z + 2*z**2 + 59*z - 117*z + 56*z.
2*z**2
Collect the terms in 338919*c**3 - c**2 - 338963*c**3 + c**2.
-44*c**3
Collect the terms in -180*d**3 - 90*d**3 + 30*d**3.
-240*d**3
Collect the terms in 32*i - 116*i + 82*i.
-2*i
Collect the terms in 9827 - 1666*s**3 - 9827.
-1666*s**3
Collect the terms in 9*t**3 - 90994 + 90994.
9*t**3
Collect the terms in 51*a**2 - 88*a**2 - 4*a**3 + 37*a**2 - 12*a**3 + 18*a**3.
2*a**3
Collect the terms in 20*l + 3*l - 31*l - 277 + 6*l + 0*l.
-2*l - 277
Collect the terms in -1670*i + 3362*i - 9 - 1681*i.
11*i - 9
Collect the terms in -24*a**3 - 40*a**3 + 54*a**3 - 8*a**3 - 31*a**3.
-49*a**3
Collect the terms in 25852*b**2 - 8644*b**2 - 8603*b**2 - 8597*b**2.
8*b**2
Collect the terms in 3277*u**2 - 8*u**3 - 1644*u**2 - 1633*u**2.
-8*u**3
Collect the terms in -46*p + 8 - 8 - 21*p + 75*p.
8*p
Collect the terms in 161 - 311*a**2 - 86 - 79.
-311*a**2 - 4
Collect the terms in 27*u - 2 - 27*u - 10*u**3.
-10*u**3 - 2
Collect the terms in -195*z**2 - 53*z + 201*z**2 + 53*z.
6*z**2
Collect the terms in -3*n**3 + 1125573*n + 1125578*n - 2251151*n.
-3*n**3
Collect the terms in -19513*o**2 + 19513*o**2 + 66*o**3 - 72*o**3.
-6*o**3
Collect the terms in 875*s**3 - 357*s**3 + 1827*s**3.
2345*s**3
Collect the terms in -547*j + 52*j**2 + 110*j - 51*j**2 - 216*j.
j**2 - 653*j
Collect the terms in h**3 + 57 - h**3 + 2*h**3 + 413 - 3*h.
2*h**3 - 3*h + 470
Collect the terms in -380*q - q**2 - 255*q + 635*q.
-q**2
Collect the terms in -3 - 7*c - 11*c + 19*c.
c - 3
Collect the terms in 8*q - 10*q**2 - 21 + 14*q**2 + 12*q**2.
16*q**2 + 8*q - 21
Collect the terms in -15*b + 27*b - 12*b - 316*b**2.
-316*b**2
Collect the terms in 499 - 250 - 249 + 165*r**2.
165*r**2
Collect the terms in -7*z**2 + 15*z**2 + z - z + 3*z**2.
11*z**2
Collect the terms in 85*g + g**2 + 112*g - 4*g**2.
-3*g**2 + 197*g
Collect the terms in 0 - 116273*l - 1 + 116277*l + 1.
4*l
Collect the terms in -2 + 428*t**2 - 2 + 0 + 4.
428*t**2
Collect the terms in -139*o - 81*o - 868*o.
-1088*o
Collect the terms in -2*u - 1204*u**2 - 4192*u**2 + 3*u.
-5396*u**2 + u
Collect the terms in -325*m - 17 - 3 + 2.
-325*m - 18
Collect the terms in -164*k**2 + 327*k**2 - 162*k**2 - 230*k.
k**2 - 230*k
Collect the terms in -9602 + 9602 - 211*q**2.
-211*q**2
Collect the terms in -l**2 + 1364*l - 4104*l + 1369*l + 1371*l.
-l**2
Collect the terms in -450*p**3 + 1000*p**3 + 429*p**3 + 1996*p**3.
2975*p**3
Collect the terms in 238*b**3 + 233*b**3 + 203*b**3 - 911*b**3 + 235*b**3.
-2*b**3
Collect the terms in -77*m**2 - 91*m**2 - 57*m**2 + 316*m**2.
91*m**2
Collect the terms in -163*z + 48*z + 115*z - 19*z**2.
-19*z**2
Collect the terms in 10*f - 72*f + 11*f + 16*f + 20*f.
-15*f
Collect the terms in -61*k - 3*k**2 - 8*k**3 + 26*k + 25*k.
-8*k**3 - 3*k**2 - 10*k
Collect the terms in -18*l**3 - 83*l + 13*l**3 + 4*l**3.
-l**3 - 83*l
Collect the terms in 103*y + 3*y**2 + 98*y - 321*y.
3*y**2 - 120*y
Collect the terms in 12 + 15642*g**2 - 15647*g**2 - 11.
-5*g**2 + 1
Collect the terms in -63*y + 127*y + 7*y**2 - 60*y.
7*y**2 + 4*y
Collect the terms in 1591*j**3 + 1591*j**3 - 3190*j**3.
-8*j**3
Collect the terms in -384*w**2 + 133*w**2 + 125*w**2 + 131*w**2.
5*w**2
Collect the terms in 7381 - z - 3662 - 3719.
-z
Collect the terms in -57*j**2 + 150*j**2 - 28*j**2.
65*j**2
Collect the terms in 64028*c - 64028*c + 2*c**3.
2*c**3
Collect the terms in a**2 - 21 - 9 - 5 + 7 - 7.
a**2 - 35
Collect the terms in -8 - 3 + 4*v**3 - 27*v**2 - 3 + 15.
4*v**3 - 27*v**2 + 1
Collect the terms in -7174 + 3589 + 3585 - 10*p**2.
-10*p**2
Collect the terms in -478*a**3 - 331*a**3 + 269*a**3 - 263*a**3.
-803*a**3
Collect the terms in 1 + 4*t**2 - 1 + 2353*t - 2322*t - 5*t**2.
-t**2 + 31*t
Collect the terms in 2 + j**2 + 38*j**2 - 6 - 31*j**2.
8*j**2 - 4
Collect the terms in 12*p - 8*p + 7*p + 0*p**2 - 3*p**2 + 2*p.
-3*p**2 + 13*p
Collect the terms in -1564*c + 1 - 4*c**3 + 0 + 1564*c - 1.
-4*c**3
Collect the terms in -10*q - 126 + 8 + 118.
-10*q
Collect the terms in 0 + 188*u**2 + 651*u**2 + 0 + 0*u**2.
839*u**2
Collect the terms in 10855*c**3 - 16756*c**3 + 5902*c**3.
c**3
Collect the terms in -138*d + 54 - 13*d**2 + 61 - 115 + 11*d**2.
-2*d**2 - 138*d
Collect the terms in 75 + 82*i**2 - 53 + 114*i**2.
196*i**2 + 22
Collect the terms in 109 + 21 - y**3 + 277*y**2 - 277*y**2.
-y**3 + 130
Collect the terms in -3*r**2 + 58616*r - 29304*r - 29313*r.
-3*r**2 - r
Collect the terms in 94 + 91 + 2315*l**2 - 185.
2315*l**2
Collect the terms in 45 - 143 + 51 + 15*d**2 + 47.
15*d**2
Collect the terms in -2 - 2133935*r**2 + 2 + 2133937*r**2.
2*r**2
Collect the terms in -76722 + 76722 + 8*s**2.
8*s**2
Collect the terms in 2 + 15561493*g - 3 - 43*g**2 - 15561493*g.
-43*g**2 - 1
Collect the terms in -1596*m + 5245*m + 7072*m.
10721*m
Collect the terms in -3*m - 135 - 224 + 612 - 127 - 126.
-3*m
Collect the terms in -10*n - 25*n**3 + 8 + 24*n**3 - 107.
-n**3 - 10*n - 99
Collect the terms in -1103 + 1395 - 292 - 5*i**2.
-5*i**2
Collect the terms in -120*m + 1341*m**2 + 120*m - 1376*m**2.
-35*m**2
Collect the terms in -16683*a - 11775*a + 1 - 1.
-28458*a
Collect the terms in 157*n + 159*n + 2 - 2 - 319*n.
-3*n
Collect the terms in -6969573*u - 8*u**2 + 6969573*u.
-8*u**2
Collect the terms in 32 + 2 - 88 - 6*b + 54.
-6*b
Collect the terms in -231 + 222 - 5*u + 0*u + 8*u.
3*u - 9
Collect the terms in -2*l - 424 + 181 + 191 + 21*l**2.
21*l**2 - 2*l - 52
Collect the terms in 42*u**2 + 42*u**2 - 56*u**2 - 18*u**2 - u**3.
-u**3 + 10*u**2
Collect the terms in 2*x**2 - 161003 + 322003 - 161000.
2*x**2
Collect the terms in -79*z**3 + 978*z**3 - 169*z**3 + 1453*z**3.
2183*z**3
Collect the terms in -118*r - 115*r + 572*r - 111*r - 109*r - 112*r.
7*r
Collect the terms in -20*s**2 - 7*s**2 + 12*s**2 - 49*s**2.
-64*s**2
Collect the terms in 362 + 17*c**3 - 232 - 130 + 2*c**3.
19*c**3
Collect the terms in -1673*o + o**2 - 1662*o + 3326*o - 5*o**2.
-4*o**2 - 9*o
Collect the terms in -46*l**3 + 303*l - 606*l + 303*l.
-46*l**3
Collect the terms in -23047*y**3 - 23040*y**3 + 46088*y**3.
y**3
Collect the terms in m**2 + 39*m**2 - 70*m**2 + 33*m**2.
3*m**2
Collect the terms in 4 - 7 + 82101*q - 82111*q + 3.
-10*q
Collect the terms in -12*w + 39*w - 16*w - 38*w**2 - 11*w.
-38*w**2
Collect the terms in -822*b**2 + 1629*b**2 - 156*b**3 + 51*b**3 - 807*b**2.
-105*b**3
Collect the terms in -246*n**3 + 1276*n**3 + 72*n**3.
1102*n**3
Collect the terms in 0*c - 20*c - 43*c - c + 7*c.
-57*c
Collect the terms in 4949*z**2 - 8434*z**2 + 3484*z**2.
-z**2
Collect the terms in 15*o**3 - 1489770*o + 1489770*o.
15*o**3
Collect the terms in 3 + 4 - 75*u**2 + 3 - 17.
-75*u**2 - 7
Collect the terms in 4 - 11671*i**2 - 11672*i**2 - 4 + 23342*i**2.
-i**2
Collect the terms in 17*l**2 - 510864*l + 510864*l.
17*l**2
Collect the terms in -937*r**3 + 2234*r**3 - 339*r**3 - 947*r**3.
11*r**3
Collect the terms in 351*b**3 - 141*b**3 - 216*b**3.
-6*b**3
Collect the terms in -14004*y + 41955*y - 14007*y - 13944*y + 3*y**2.
3*y**2
Collect the terms in 14*z + 13 + 21*z + 29*z - 13.
64*z
Collect the terms in 450*f - 868*f + 428*f.
10*f
Collect the terms in 275*u - 1512*u - 5363*u + 730*u.
-5870*u
Collect the terms in -2775*j**3 - 862*j**3 + 1000*j**3.
-2637*j**3
Collect the terms in 29647 + 275*j**2 + 29655 - 59302.
275*j**2
Collect the terms in -33233695*f - 4 + 33233695*f - 15*f**2 + 4.
-15*f**2
Collect the terms in -59953*g**2 - 59917*g**2 - 59952*g**2 + 179820*g**2.
-2*g**2
Collect the terms in 105 + 40 + 16*l**2 - 48 + 64.
16*l**2 + 161
Collect the terms in -58*l + 340*l - 606*l - 858*l.
-1182*l
Collect the terms in -198*w - 2711*w**2 + 198*w + 2725*w**2.
14*w**2
Collect the terms in 408 + 155 + 4*u**2 - 3*u**2 + 258 - 365.
u**2 + 456
Collect the terms in -22*y**2 - 311*y + 96*y + 117*y + 98*y.
-22*y**2
Collect the terms in 15 - 6 + 6*v - 9*v + 13.
-3*v + 22
Collect the terms in -75 - 353 - 4*g + 428.
-4*g
Collect the terms in 0*u**3 - 5*u**3 + 2*u + 21*u**3 - u + 11*u.
16*u**3 + 12*u
Collect the terms in -5*d**3 + 27*d**3 - 524*d + 1065*d - 541*d.
22*d**3
Colle
|
{
"pile_set_name": "DM Mathematics"
}
|
Do 173 and 175 have the same value?
False
Is 85339 smaller than 85314?
False
Which is bigger: 11897 or -2?
11897
Which is smaller: 311 or -355?
-355
Which is smaller: 0.744 or 0.1085?
0.1085
Is -47 less than or equal to -8?
True
Which is smaller: 4800 or 4570?
4570
Which is smaller: -93219 or -93216?
-93219
Do 0.005 and -23.196 have different values?
True
Is 0 bigger than -7/23610?
True
Is 18 > 2907/161?
False
Which is greater: -12/85 or -5416?
-12/85
Which is smaller: -40 or 22060?
-40
Is -21431 greater than or equal to -21439?
True
Which is smaller: 84/68143 or -0.1?
-0.1
Which is bigger: 4 or 1/6894?
4
Which is smaller: 15230 or 5?
5
Which is bigger: -5847/943 or -6?
-6
Are 0 and -100/401 non-equal?
True
Which is smaller: -5320 or 1.3?
-5320
Is 0 less than 1/81796?
True
Is -4 at least as big as 260/513?
False
Which is bigger: -55/2087 or 1?
1
Which is bigger: 0.081931 or -9?
0.081931
Is -5 bigger than -9/539?
False
Which is smaller: 0.05 or 13906?
0.05
Are 789 and 893 equal?
False
Is -82537/9 smaller than -9172?
False
Which is smaller: 1/345022 or 1?
1/345022
Is 7 bigger than 284/43?
True
Are -3 and -22729 non-equal?
True
Is -134457/2 at least as big as -67229?
True
Which is smaller: -1 or 20/121243?
-1
Is 55 bigger than 22/147?
True
Are 0.6 and 898.2 equal?
False
Which is bigger: -1 or -192/22423?
-192/22423
Are 5/1792344 and 0 non-equal?
True
Is 1 greater than or equal to 63/2675?
True
Is -6.8351 bigger than -1?
False
Is -161 smaller than -10479/65?
False
Which is smaller: 5/31 or -1.14?
-1.14
Is 69248 equal to 69206?
False
Which is greater: -1 or -2/32463?
-2/32463
Which is greater: 0 or 812/15973?
812/15973
Which is smaller: -1680 or -1690?
-1690
Which is greater: -0.204 or 0.8?
0.8
Which is bigger: 1 or 296.35?
296.35
Which is greater: 4.16 or 217?
217
Do -489 and -70 have different values?
True
Which is greater: 17776 or 17778?
17778
Does -20351 = -20359?
False
Is 728 != 660?
True
Is 188509 > 188508?
True
Are 107745 and 107745 nonequal?
False
Are 402570 and 402570 nonequal?
False
Which is greater: -94 or 7/268?
7/268
Which is greater: -8750 or 36?
36
Which is smaller: 785/251 or 4?
785/251
Which is bigger: -1/17324180 or -1?
-1/17324180
Which is greater: 5/105058 or 0?
5/105058
Which is smaller: 875/274 or 4?
875/274
Which is smaller: 2.2 or -0.11891?
-0.11891
Which is smaller: -8771 or -8611?
-8771
Which is bigger: 1945 or 15571/8?
15571/8
Are 1611397 and 1611397 equal?
True
Which is bigger: -330/128699 or 1?
1
Is 135072 > 135071?
True
Is 838643/6 <= 139775?
True
Are -267778 and 0.1 equal?
False
Which is smaller: 182 or -225?
-225
Is -2/45 at most 106?
True
Is 19 greater than -59/30?
True
Are 435548 and 435543 non-equal?
True
Is 48841 smaller than -2/5?
False
Which is greater: -25.11 or 80/9?
80/9
Is -2/171223 < 0?
True
Which is smaller: 1000054 or 2?
2
Is -3288 at least as big as -3288?
True
Is -192 >= 5/94?
False
Which is greater: -18519/23 or -805?
-805
Which is smaller: -57/473 or -1?
-1
Is -1/960163 at least 1?
False
Which is smaller: -1376 or -1366?
-1376
Are 3/30773 and -1 equal?
False
Which is greater: 0 or 521.61?
521.61
Is -8954 smaller than -9258?
False
Are 236 and -318 equal?
False
Which is greater: -40491 or -40463?
-40463
Is -1546942 >= -1546941?
False
Which is smaller: -3/109177 or 1?
-3/109177
Are 75/4 and 2603 equal?
False
Is 96/869 at most as big as -1?
False
Is -46 bigger than 107/16?
False
Is -3701101 at most as big as -3701100?
True
Is -0.1 greater than 5607879?
False
Which is smaller: -59873 or 4?
-59873
Is -963641 smaller than 0?
True
Is 1 greater than 3/217310?
True
Which is smaller: -5 or 549459?
-5
Is -4786 >= -4978?
True
Which is bigger: 6 or -882236?
6
Is -1/4 equal to -16.06?
False
Which is smaller: 979 or 53886/55?
979
Is 15620 smaller than 15620?
False
Which is smaller: 1 or -19/87950?
-19/87950
Is -3682 at least -3685?
True
Is -8.1318 <= -0.1?
True
Which is smaller: -1/7 or 5428?
-1/7
Which is greater: -1/1401580 or 1?
1
Is -34735 > -34735?
False
Is -110860/17 at most -6520?
True
Is 168777 != 168758?
True
Which is greater: 3274 or 3262?
3274
Is -754142 not equal to -754140?
True
Is -50 less than -77586?
False
Which is smaller: 534 or 5391?
534
Is -3.6 greater than -785/56?
True
Which is greater: 610 or 0.5?
610
Which is greater: -19772 or 3?
3
Is 1 < 1/99833?
False
Which is smaller: 3/2 or -18/95?
-18/95
Is -1 < -43/37580?
True
Which is smaller: 150911 or 150924?
150911
Which is bigger: -330081 or -330075?
-330075
Is 58836 at least 58836?
True
Is -2379 less than -2347?
True
Which is smaller: 0.0149 or 38?
0.0149
Is 6237 >= 6238?
False
Is 0.42954 smaller than 3/5?
True
Is -3 bigger than -71965?
True
Which is bigger: -43479 or 0.1?
0.1
Which is smaller: -6050 or -6048?
-6050
Which is smaller: 2/5 or 23179/12?
2/5
Is -50/13 less than 390?
True
Is 156493 > 156493?
False
Which is greater: 1 or -48/2081?
1
Which is greater: 32/113 or -1.69?
32/113
Is -1710/157 greater than or equal to -11?
True
Do -15 and 365269 have the same value?
False
Which is greater: -1 or -408/5705?
-408/5705
Is -148 less than 83/3?
True
Are -1 and 211/1031 unequal?
True
Is 1990 smaller than 2002?
True
Is 0 < 56/10481?
True
Is -447 at least -113?
False
Which is smaller: 2/5 or -838?
-838
Is 1 less than or equal to -7/12316?
False
Which is smaller: 2/602195 or -1?
-1
Is -13/9 at least as big as -12515?
True
Which is smaller: 55 or 69?
55
Which is greater: 28174 or 84520/3?
28174
Is -159/4388 < 0?
True
Which is bigger: 88407 or 88390?
88407
Which is smaller: -1 or 2/8390591?
-1
Which is smaller: 39 or -52?
-52
Which is greater: -2301586 or 2?
2
Which is greater: 10168/3233 or 2?
10168/3233
Is 613218/17 <= 36073?
True
Which is smaller: 239 or 104.75?
104.75
Is -53594 > -53603?
True
Is -481081 not equal to -481081?
False
Are 389 and -34.2 nonequal?
True
Which is bigger: 0.55 or 2102?
2102
Is 955349 less than 955350?
True
Is 7194 <= 7197?
True
Is -141125 > -141123?
False
Which is greater: 5/1956 or -1?
5/1956
Is -1329/568 <= -1?
True
Which is smaller: -270 or -19642/73?
-270
Are 1 and 13123 non-equal?
True
Which is greater: -2 or -125023?
-2
Is -15034 greater than -15068?
True
Does 47.963 = 3/5?
False
Which is smaller: 52 or -1509?
-1509
Are -2/11 and -190276 unequal?
True
Does -10218 = -10213?
False
Which is greater: 0.33 or 23207?
23207
Is 49/5003 <= 1?
True
Is 0 greater than 4/193905?
False
Which is greater: -4134 or -36?
-36
Are 15717 and 15716 non-equal?
True
Which is smaller: -2/5 or 165241.3?
-2/5
Which is greater: -4/3 or -26151?
-4/3
Which is greater: 1119 or 8961/8?
8961/8
Which is bigger: -1554 or -1557?
-1554
Is -18 < 3068/7?
True
Which is greater: 2503/5 or 502?
502
Which is bigger: -294515 or -294513?
-294513
Is -61968 greater than -61968?
False
Which is smaller: 4585 or 158?
158
Which is bigger: -12686 or 0.07?
0.07
Which is smaller: 1 or 4290/2437?
1
Is -227 smaller than 0.619?
True
Is 1 greater than -1/60885?
True
Is 1 greater than 20/6343?
True
Are -2283/2 and 29 nonequal?
True
Which is smaller: 1056/251 or 3?
3
Is -1128643 smaller than -1128642?
True
Is -1 smaller than 102/3109?
True
Which is greater: -8 or 63603?
63603
Which is greater: 13797 or 13791?
13797
Which is smaller: 173/8 or 2/17?
2/17
Is 6170 bigger than 6145?
True
Which is bigger: 2/15 or -87266?
2/15
Is -6946 <= -6951?
False
Is -6523244 bigger than -6523243?
False
Are 1 and 251.24 equal?
False
Which is greater: 0 or -566/7157?
0
Is -0.113 != 2/95?
True
Is -344 > -12027/35?
False
Is 3006/413 at most as big as 8?
True
Is -61693 < -61689?
True
Which is bigger: 83064 or -2/51?
83064
Are -378 and -22351/59 equal?
False
Is -27668/63 at most as big as -439?
True
Which is greater: 2205 or 3031?
3031
Is -1179 less than -1667?
False
Is -1 at least 11/2042?
False
Is -1 less than or equal to -2272/1577?
False
Is -181501 at most -181500?
True
Which is smaller: 48/2581 or -1?
-1
Is 23980 at most 815331/34?
True
Which is smaller: -153111 or -153112?
-153112
Do -8/35 and -0.66 have the same value?
False
Which is smaller: 1 or 12/131419?
12/131419
Are 8687 and 8687 nonequal?
False
Which is smaller: 1785 or 1772?
1772
Which is smaller: 1 or 5/34442?
5/34442
Is 55609 > 55606?
True
Which is smaller: -814 or 0.28?
-814
Which is smaller: -155572 or -155570?
-155572
Which is
|
{
"pile_set_name": "DM Mathematics"
}
|
8 - -19) + -22?
-8
What is -20 - (-6 - -7 - (8 - 1))?
-14
Calculate -119 - -111 - (-2 + 23).
-29
What is (-7 - (-4 + -3)) + -11?
-11
What is the value of 2 + (1 + 2 - 12)?
-7
What is the value of (-1 + -7 - -19) + (-5 - -3 - -19)?
28
Evaluate 2 + 2 - (39 + -37) - 4.
-2
What is the value of 5 + -4 + -4 - (5 - 14) - 4?
2
(18 - 8) + (-8 - (0 + -1))
3
Calculate 2 + 7 + -2 + (9 - 3).
13
What is the value of (5 + -18 - (-3 + 8 - 9)) + -17?
-26
Calculate 37 + (-22 - 5) - 29.
-19
Evaluate (51 - 29 - 26) + (-5 - 0).
-9
Evaluate (-16 - -45) + (16 - 61).
-16
Evaluate -1 + 8 + (-33 - -15 - -11).
0
Evaluate -6 + 6 + 0 + -2 + -6.
-8
What is the value of -45 - (23 - 47) - -35?
14
What is -3 - -6 - (-3 + 10 + -7 - -2)?
1
What is the value of (-1184 - -1196) + -10 + (1 - 2)?
1
What is 1 - (2 + -8) - (2 + 8)?
-3
Evaluate -6 + -1 + (-1 - 0).
-8
Calculate 4 - (13 + -7) - (5 - 1 - 0).
-6
-3 - (9 + -1) - (9 - (8 + -5))
-17
What is -24 - (0 + (-10 - -2) - (0 - 3))?
-19
What is the value of -1 + -11 + 17 + (0 - -1) + -2?
4
What is the value of (1 - 3 - 3) + (37 - 7)?
25
Evaluate 34 - (12 + -12 + -3 + 10).
27
What is ((21 - 12) + -38 - -8) + 12?
-9
7 + 7 + (-4 - (-1 - 5 - -14))
2
What is the value of -55 + 45 + -2 + 14?
2
(3 - -20 - 10) + -28
-15
What is -16 + -7 + 11 + 11 + 23 + -2?
20
What is -19 + (-12 - (15 - 45))?
-1
What is the value of (-8 - (-8 + 9 + 8)) + 9?
-8
(-8 + -6 + 12 - (-1 + 2)) + -9
-12
Calculate 0 + (2 - -1) + -67 + (-36 - -61).
-39
Evaluate -4 - (14 + 12 + -5).
-25
What is 1 - 3 - -8 - (-11 + (-15 - -26))?
6
What is the value of -22 - (31 + 4 + -50)?
-7
6 - (-29 - (-21 + -3) - (3 - 1))
13
(-11 - (-6 - -1)) + 14 + -19 - 3
-14
Calculate -24 - ((-25 + 10 - -3) + (9 - 4)).
-17
What is the value of 4 + 25 + -16 + -4 - 37?
-28
What is 8 + 0 + -12 + -57 + 68?
7
Evaluate -7 + -1 - ((-2 - -10) + -37).
21
Calculate 39 - 1 - (-196 - -214).
20
Evaluate 8 + -21 + 13 + -5.
-5
Evaluate 16 - 0 - (378 - 326) - -6.
-30
What is the value of -40 + (-25 - -58) + -2 + 21?
12
What is 4 + 1 + (-11 - (-6 + -16) - 20)?
-4
What is the value of -167 - -159 - (-29 - (1 + 3 - 5))?
20
What is the value of -23 + (6 + -6 + 6 - 5) + 6?
-16
Calculate (-26 - (-33 + 15)) + 0.
-8
What is 0 + 4 + (-5 - 5) + 7?
1
What is the value of (8 - (31 - 17)) + 0?
-6
Evaluate -37 - (-16 - (15 + 0)).
-6
What is the value of 8 + (-58 - -53) + 2 + 1 + -5?
1
-6 + 2 + (3 - (4 - -19))
-24
What is 14 - (32 - (18 + (3 - 6)))?
-3
What is -17 - (14 - 30) - 18?
-19
Calculate 28 + -37 + -3 + -2 - (4 + -2).
-16
Evaluate -2 + -17 + (-1 - -14) + -1 + 14.
7
What is -23 + (-13 - -2) + 8 + -26 + 18?
-34
Calculate (0 - (10 - -5)) + 9 + 0.
-6
Evaluate -3 - 11 - (-26 + 8).
4
What is the value of (11 + -18 - -1) + -6 + -1?
-13
What is -6 - ((4 - 8 - 29) + (-13 - -7))?
33
What is the value of (9 - 2 - -15) + (0 - (6 - 0))?
16
What is 6 + 9 - (-80 - -85)?
10
Evaluate -19 + 24 + -24 + 13.
-6
What is (11 - 35) + 0 + 30?
6
What is (-13 - 0) + (132 - 130)?
-11
What is -7 + (-10 - (8 - 16 - -5) - -22)?
8
What is the value of 5 + (19 - 37 - -1)?
-12
What is 22 + -21 - -2 - -28?
31
What is the value of 18 + -6 + 3 - 3?
12
Calculate -5 - (-6 + -13 + -3 + 11).
6
Calculate 9 - (30 - 25) - (1 - (0 - 2)).
1
What is 635 + -627 + 9 + (2 - 3)?
16
What is 12 + (5 - 12) + 20 + -2 + -4?
19
What is the value of -6 + 21 + 2 + -4?
13
-15 + (46 - (-8 + 14)) + (3 - -2)
30
(-1 - -9) + (7 - 2 - 17)
-4
Calculate 1406 + -1371 - (-1 + 15 + 0).
21
Evaluate -4 + -1 + 17 + -13 + 1.
0
What is the value of (-1 - 9) + 10 + 7 + -11?
-4
Calculate -5 - (3 + 3 + -15) - (-1 - -5).
0
What is the value of 5 + (21 - (-2 + (11 - 0)))?
17
What is (-74 - -91) + (-2 - 0)?
15
What is the value of (3 - 1) + (0 + 50 - 65)?
-13
Calculate 0 + 0 + (3 - 2) - (-5 + 5).
1
What is -11 - (4 + 9 + -12 + 9 + -2)?
-19
What is 28 - (-1 - ((7 - 11) + -15))?
10
Calculate (-38 - (-18 + 2)) + 8.
-14
6 + -1 + (4 - -6 - 11) + -10
-6
Calculate 14 + (-11 - -14 - 19).
-2
What is the value of 11 - (-1 - (-23 - -12)) - -5?
6
(4 - -2) + (7 - (1 + 0 - 1))
13
-7 + -5 + 11 + -14 + 12 + 26
23
Evaluate 16 + (-26 - (44 - 32)).
-22
Evaluate (6 - (9 + -7)) + -9 + (9 - 12).
-8
-3 + (10 - 9) + 0 - 10
-12
Calculate (3 + 2 - 1) + 13 + -4.
13
Calculate -7 + (10 - -3) + (2 + 5 - 4).
9
Calculate 15 + 3 + -14 + -2 + 1 + 14.
17
Evaluate (2 - -7) + (14 - 9 - 12).
2
What is the value of (-140 - -129) + 12 + 2?
3
What is -64 + 62 - (0 - 4)?
2
9 - (-15 + (-7 - -9) - 1)
23
Evaluate -113 + 54 + 49 - (2 - -8).
-20
What is -162 - -161 - (-1 + 0 + 7)?
-7
What is the value of 1 + -52 + 16 + 19?
-16
44 + -33 + 0 + (8 - 5)
14
Calculate 20 + -60 + (32 - 2).
-10
Calculate (1 - 5) + (149 - 139) - 3.
3
-8 + -24 + 67 + -16
19
What is the value of 0 + -1 + 2 - (55 - (7 + 58))?
11
Evaluate -4 + -2 + 1 + 3 + 0.
-2
(2 - (6 - (5 + -3))) + 67 + -66
-1
Evaluate -6 + 3 + (27 - 16) - (-2 + 0).
10
Calculate (-5 - -27) + -1 - (219 - 211).
13
What is (-2 - 8 - -3) + (116 - 112)?
-3
Calculate (7 - (14 - 15)) + 27 + (2 - 0).
37
Calculate -84 - -92 - (-4 + 3).
9
What is 11 + 3 + -9 + -6 + 6?
5
-9 - (5 - 1) - -12
-1
Calculate (-21 - (-41 + 13)) + -3.
4
What is 16 + -45 + (22 - (2 - -12))?
-21
What is the value of (11 - 8) + 6 + (-10 - -8)?
7
What is 3 + 49 - 42 - (0 + 32)?
-22
Evaluate -2 - (-3 + 0) - (17 - (1 + 8)).
-7
-16 - (9 - (3 - -22)) - -11
11
What is 5 - ((-22 - -53) + 4 - (9 + 1))?
-20
-24 - ((-33 + 27 - (-2 + 4)) + 3)
-19
What is 12 + 4 + -7 - (13 - 2)?
-2
Evaluate (-131 - -148) + (2 - 6).
13
What is the value of -8 - -3 - ((1 - 6) + (9 - 6))?
-3
What is the value of 1 - (431 + -425 + (-1 - 18))?
14
-21 - -3 - (35 + -42)
-11
What is -16 - (-4 - (1 - (15 + -7)) - 4)?
-15
What is the value of 1 - (-11 - -3 - -5) - (-8 - -3)?
9
Evaluate -3 + 12 + (17 - (-3 - -14) - -5).
20
Evaluate -1167 + 1190 - (8 - (0 - (2 - 3))).
16
What is -2 - (2 + 0 - 1) - (-207 + 219)?
-15
What is the value of 2 + 0 + -78 + 71 + -3?
-8
Evaluate (2 - -2 - -6) + (7 - 3).
14
Evaluate 9 - ((-10 - -8) + (-11 - -3) - -6).
13
22 + (0 - 3) + 7 - 12
14
What is -7 + -2 - (10 - (0 - -17))?
-2
Calculate 0 + -12 + (148 - 147).
-11
Calculate (18 - 24) + 13 + -7.
0
23 + 2 + 9 + (-4 - (17 + -8))
21
What is -1 + (-1 + -4 + 7 - -2) - -12?
15
-1 - -2 - (-11 + 12 + -7)
7
What is the value of -15 + (11 - 2 - (-2 - -14))?
-18
What is (-2 - -4 - 5) + -2 + 4 - 2?
-3
Evaluate 32 - 49 - (2 + 3 + 2 - 0).
-24
Evaluate 492 + -450 - (2 - -13).
27
Evaluate 21 + -16 + 13 + -5.
13
Evaluate (12 - (1 - -16) - (1 + -2)) + 6.
2
15 + 11 + -13 - 2
11
(-15 - -11) + (-18 - -9)
-13
Calculate 19 + -23 - (31 - 31).
-4
What is (-10 - (0 + -12)) + 10?
12
What is the value of -3 - -1 - (19 - (14 + 5))?
-2
Calculate (-20 - -2 - -8) + (10 - 1) + -21.
-22
-13 - (2 - 7) - -7
-1
-6 - (-9 - (-7 + (2 - 3)))
-5
-2 + 11 + (4 - 17) + -7
-11
Evaluate -5 + (-9 + -1 + 16 - -2).
3
9 - (-4 - (16 + -17))
12
Evaluate (7 - -14 - 32) + 25.
14
What is (15 - 14 - 12) + 8?
-3
46 + -38 - (-2 + 10 - -4)
-4
What is (10 - 24) + (-3 - -21) - -8?
12
What is the value of 1 + (-20 + 10 - -9)?
0
10 - (4 + 29 + -6 - -6)
-23
Evaluate (-13 + 8 - (5 + -4)) + 21 + 0.
15
1 + (1 - ((-7 - -11) + 2)) - -16
12
Evaluate (31 - 11 - 46) + 9.
-17
Calculate 6 - (9 - (14 - -3) - (12 - -2)).
28
Evaluate (-2 - (7 + -5 + 5)) + -8 + 1.
-16
What is the value of 1 + 4 + (66 - (-19 + 83))?
7
Evaluate -7 + 12 + -8 - (-2 + 4).
-5
What is -6 + 2 - (-21 - (-7 - -13))?
23
What is the value of (9 - 21 - -29) + (1 - 8)?
10
Evaluate -21 + 6 + -1 - -15.
-1
18 - (6 + 5 + -2)
9
Calculate (180 - 192) + 1 + (-1 - 1) + 0.
-13
Calculate 21 - (-8 + (12 + -4 - -9)).
12
-2 - (-8 + -2 + -2)
10
What is the value of (7 + 4 - 7) + -1 + 3 + -14?
-8
What is the value of -9 + 10 + -8 + -4 + 6?
-5
(9 + 3 - 23 - -36) + -11
14
Evaluate 8 + -94 + 91 + -1 + -2.
2
-1 - (-131 + 111 + (10 - -1))
8
(39 - 44) + -1 + -7
-13
10 + (1 - 27) - ((1 - 3) + -6)
-8
Evaluate (3 - (7 - (2 + 2))) + -1 - -7.
6
Calculate -1 + 1 + (176 - 189).
-13
1 + -2 + (-23 - -7 - -8)
-9
Calculate (16 - -3) + -17 + (2 - 4 - -4).
4
What is the value of -1 + 22 + 0 + -1 + (708 - 709)?
19
What is (28 - 77 - -28) + 10 + -2 + -1?
-14
What is the value of 6 + 7 - (25 - 0)?
-12
What is (8 - -13 - 12 - (5 - 6)) + -2?
8
What is the value of 11 + -35 + 31 - (1 - (3 - -1))?
10
Calculate -7 + 22 - (33 - 5).
-13
What is (-2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
e third smallest value? (a) -5/3 (b) w (c) 2
c
Let x = 35 - 29. Let a = -0.05 + -0.05. Let b = a + 4.1. What is the second biggest value in 5, b, x?
5
Let j = -28.5 - -12.9. Let d = j + 16. What is the third biggest value in 2, 0.2, 1/3, d?
1/3
Suppose 3*k - 3*v - 9 = -0*k, -5*k - 3*v - 25 = 0. Let o be 2/(-21) - (3 - (1 - k)). What is the third smallest value in 1.3, 1, o?
1.3
Let d = 14.7 - 15. Let v = 2.5 - -12.5. Let h = v - 15.4. What is the smallest value in d, -4, h?
-4
Let k be (16/(-10))/((-5)/(-200)). Let s be (-8)/k*(1 - -1). Let n be ((-5)/2)/((-9)/18). What is the third biggest value in n, 0.5, s?
s
Let r = 21/2 - 151/14. Which is the third smallest value? (a) r (b) -7 (c) 0.5
c
Let x(v) = -v**2 + 7*v + 31. Let z be x(10). What is the smallest value in z, -0.2, -12?
-12
Let v = 4.17 - 4.87. Which is the smallest value? (a) 5 (b) -3 (c) v
b
Let l = -188/7 - -52. Which is the third biggest value? (a) l (b) -0.1 (c) -3 (d) -3/5
d
Let y = 2.5 + -4.5. Suppose k - 6 + 1 = 0. Which is the third biggest value? (a) y (b) k (c) 0.2
a
Let p = -16.7 + 19.7. What is the third biggest value in -5/11, 0.5, p, -0.2?
-0.2
Let y(w) = -w**2 - 16*w - 26. Let m be y(-14). Suppose -h + 5 = 0, -4*f - 15 = -9*f + m*h. Let l = -1.3 - -0.3. What is the second biggest value in l, f, 4/5?
4/5
Let g = 2.06 + -2.36. What is the fourth smallest value in 0.12, 2/19, g, 5/6?
5/6
Let o be 3/(18/5)*45/(-12). Let f = 3 + o. What is the third smallest value in f, -2, 0.07?
0.07
Let l = 117 + -112. Let q = -0.2 + 0.5. Let v = -0.4 + q. Which is the third smallest value? (a) l (b) v (c) 3
a
Let m = 214 - 78. Let j = -123 + m. Which is the fourth smallest value? (a) j (b) -3/5 (c) 2/7 (d) 0
a
Let t = -13 - -7. Let j be (-3 + 4)*t/21. Let s = -2.64 - -2.94. Which is the second biggest value? (a) s (b) j (c) 2/7
c
Let m = -5 + 10. Let q be (-1390)/932 - m/5. Let o = q + -2/233. What is the smallest value in 1/5, 4/3, o?
o
Let g = -2/175 + -151/2100. Let h = -173 - -169. Which is the third biggest value? (a) h (b) -1 (c) -2/9 (d) g
b
Let x = -0.7166 + 0.0166. What is the third smallest value in x, 0.1, -0.1?
0.1
Let j = 193 - 193.308. Let f = j + 0.008. Let h = 0.4 - -0.1. What is the second smallest value in -0.5, f, h?
f
Let q = -1.94 + -1.06. What is the third smallest value in -5/2, 4, q, -4?
-5/2
Let z = 0.02 + -0.42. Let k = 11.14 + -11. Let r = -3.86 - k. What is the third biggest value in 2/11, r, z?
r
Let w be ((-9)/(-21))/((-2)/(-14)). Suppose -w*i + 16 = -2*i. Suppose 18*r - i*r = 8. Which is the second biggest value? (a) 2/29 (b) r (c) -3
a
Let i = 32 + -36. Let s = 19 + i. Let l = 16 - s. What is the second smallest value in 0.3, -0.3, l?
0.3
Let n = 0.0104 - -0.0996. Which is the second biggest value? (a) 1 (b) 4 (c) n (d) -1/4
a
Let r be ((-9)/(-6))/(1 - 7). Let c(a) = 133*a + 132. Let t be c(-1). What is the biggest value in t, 3, r?
3
Let q be -1 + 126/88 + (-32)/176. What is the third smallest value in 13.2, q, -5, -0.2?
q
Let o be (-10)/3 - (-2)/(-3). Suppose -19*m - 5*m = -12*m + 60. Which is the fourth biggest value? (a) o (b) 9 (c) 0 (d) m
d
Let c be (6/3)/(2/41). Suppose 5*l + o - 185 = 0, 48 = l - 72*o + 70*o. Let a = c - l. What is the smallest value in a, -2/7, 0?
-2/7
Let h = 1117.2 + -1117. Which is the second biggest value? (a) -31.5 (b) h (c) 1/6
c
Let w be (-9 + 1)*16/16. Let o be (w/20)/(14/(-10)). What is the smallest value in 4/3, 1, o?
o
Let t(i) = -i**2 + 40*i - 175. Let r be t(5). What is the second smallest value in -0.054, -2/3, r?
-0.054
Suppose 40 = -2*p - 2*p. Let n be (p/(-3))/((-3)/117). Let s = 912/7 + n. What is the biggest value in -6/5, -0.7, s?
s
Let i be 4/78*3*1. Let f = -1929694/212835 + -2/42567. Let m = f - -42/5. What is the biggest value in i, 0.2, m?
0.2
Let g = -0.8 + -0.2. Let x = g + -1. Let j be 6/(-16)*(-8)/12. What is the second smallest value in 1, x, j?
j
Let l be (-3 - -6)/(-4 - 1). Let m = 4/13 + 1/39. Let f = 3463/3 + -1155. What is the biggest value in m, l, f?
m
Let p = -5 + 0. Let n = -8 - -8.3. Let o = 0.835 + -0.935. What is the second smallest value in p, n, o?
o
Let w = 22 - 19. Let d be (2/2 - 2)/(-9 - -12). What is the smallest value in d, -2, w?
-2
Let f = -73 - -113. Let h = f - 40.6. Which is the biggest value? (a) 2/17 (b) h (c) -5
a
Let l = 0.9 + -1.1. Let k = -27 + 1. Let s = -21 - k. What is the second smallest value in s, l, 1/5?
1/5
Let n = 79 - 77.4. Let w = -2 + 1. Let f = n + w. Which is the third smallest value? (a) 1 (b) f (c) -2
a
Let s = -9 - -4. Let n = 639/4 + -319/2. What is the smallest value in -4, s, -2/19, n?
s
Let y be (9/6)/((126/(-4))/9). Which is the smallest value? (a) -0.1 (b) 22 (c) y
c
Let y be 92/(-10 + 16/2). What is the second biggest value in 2/21, y, -0.3?
-0.3
Suppose d + 20 = -13. Let r = -94/3 - d. What is the second biggest value in 3, r, 1/4?
r
Let s(o) = o**3 + 3*o**2 - 10*o + 7. Let i be s(-5). Let v be (i/42 - 3/(-2))*-1. What is the fourth biggest value in 1, v, -0.3, 0.4?
v
Let l = 0.1 + -0.3. Let p = -0.12 - 0.38. Let o = l - p. Which is the second smallest value? (a) o (b) 3/5 (c) 3
b
Let q(c) = -10*c + 38. Let i be q(4). Let w = 0 - i. What is the smallest value in w, 9, -2/9, -0.1?
-2/9
Let f be 24/(-70)*(-15)/(-6). Let c = -13 - -12.6. What is the third biggest value in 4, c, f?
f
Let n = -2/569 - -1723/4552. Let y = 0.7 - 0.2. Let t = 45407/13 + -3493. Which is the biggest value? (a) y (b) n (c) t
a
Let c = -0.4 - 2.6. Let p = 130 - 130.2. What is the biggest value in p, -2/9, c, 2/3?
2/3
Let f = -8.1 + 8. Let t = 0.11 + 0.79. Let x = -0.1 - t. Which is the second smallest value? (a) f (b) -5 (c) x
c
Let c = 634 - 3172/5. What is the fourth smallest value in 0.02, 1, c, -5?
1
Let h = 2.135 + -5.135. Which is the second biggest value? (a) h (b) 5 (c) 3 (d) 196
b
Let a = 58/259 + -3/37. Let h = 1.38 - 1.28. What is the second biggest value in 0.3, a, h?
a
Let t = 0.1 - 0.5. Let i(f) = -45*f - 48. Let m be i(-1). Which is the third biggest value? (a) 0.9 (b) t (c) m
c
Let v = -0.099 - -0.299. Which is the fourth smallest value? (a) v (b) 7 (c) -0.2 (d) -2
b
Let g = 5.7 + -0.7. Let o be 5/6*(1 + (-72)/40). Which is the smallest value? (a) -0.3 (b) o (c) 3 (d) g
b
Let z = -1/356 - 707/1780. What is the second biggest value in 2/7, z, -32?
z
Let u be 32/(-12)*(-9)/84. Let o be (-3)/(0 - (0 + 1)). What is the third biggest value in -2, u, o?
-2
Let o = 0.5 + -0.48. Let i(f) = f**3 - 21*f**2 - 22*f - 4. Let l be i(22). Which is the biggest value? (a) -2 (b) l (c) o
c
Let v = 2 - -1. Let k be (v - 0) + -9 + 3. Which is the second smallest value? (a) 3 (b) 4 (c) k
a
Let x = 1593 + -1588. Let t = 78 + -78.43. Let i = t + 0.03. Which is the second biggest value? (a) x (b) 3 (c) i
b
Suppose -97*x - 72 = -73*x. Which is the third biggest value? (a) 5 (b) 0.07 (c) -0.13 (d) x
c
Let s = -578 - -577.95. What is the third smallest value in 0.4, 1, -1, s?
0.4
Let l = -9/7 - -74/63. Let v = 5389 - 5388.9. What is the second smallest value in l, 3, -1, v?
l
Let t = -108/5 + 962/45. Which is the biggest value? (a) t (b) 2 (c) 42 (d) -1/4
c
Let d = -0.06 - -0.11. Let u = -2.05 + d. Let z = -189.5 - -189. Which is the second biggest value? (a) -3 (b) z (c) u
c
Let u = 4.2 - -0.8. Let o = 58.1 + -53. Let y = o - 1.1. Which is the third biggest value? (a) 0 (b) u (c) y
a
Let h = 2.54 + -3.6. Let x = h + 1. Let k = -0.36 - x. Which is the biggest value? (a) k (b) 0.3 (c) 0.4
c
Let y = -5906251/72174 - -2/12029. Let s = y + 82. Which is the smallest value? (a) s (b) -1 (c) -0.05 (d) -1/4
b
Let o = -397 + 388. Let m = -47.9 + 48. What is the third biggest value in o, m, 5?
o
Let b be (4/(-68))/(3/(-3)). What is the second biggest value in 5, b, 1/9?
1/9
Suppose -4*q = -x - 15, 94*q - 91*q = 3*x. Which is the fourth smallest value? (a) 3/2 (b) 0 (c) 13 (d) x
c
Let f = -59 - -107. Let z = -34 + f. Let w = z - 11. What is the second smallest value in -4, 0.1, w?
0.1
Let t = -35/76 + 4/19. Which is the fourth biggest value? (a) -4 (b) t (c) -0.9 (d) -0.3
a
Let y = 142/9 - 16. Which is the fourth smallest value? (a) 0 (b) 2 (c) y (d) 1
b
Suppose -x - w + 16
|
{
"pile_set_name": "DM Mathematics"
}
|
at comes next: 62886, 63131, 63368, 63591, 63794, 63971, 64116?
64223
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-142176
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111895
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-293697
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11880
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-17496
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-4486528
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-647818
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17749
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-18346
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6762431
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24588
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-285731711
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387063
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-27936
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260388
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-62748348
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-290371
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3532338
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124951
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148152
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2898
What is the next term in 9840, 9587, 9342, 9105, 8876, 8655, 8442?
8237
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-52222
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15760
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-14467666
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-63039
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29615477
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44880571
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-10129
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20329
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52569763
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14185
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24242
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410914
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-2914174
What is the next term in -431, -1528, -3347, -5888, -9151?
-13136
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-181808260
What is the next term in 19925672, 19925668, 19925664, 19925660, 19925656?
19925652
What is the next term in -1857, -3840, -5947, -8178, -10533, -13012?
-15615
What is next in -1114286, -2228576, -3342866, -4457156, -5571446, -6685736?
-7800026
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-130552
What is the next term in -1874, -3768, -5688, -7634?
-9606
What comes next: 7557, 7606, 7677, 7782, 7933, 8142?
8421
What is next in 947, 535, -151, -1111?
-2345
What is the next term in -6033774, -12067584, -18101394, -24135204, -30169014, -36202824?
-42236634
What is next in -10688, -9867, -9046?
-8225
What comes next: -7737, -30440, -68179, -120960, -188789, -271672, -369615?
-482624
What is the next term in -21248, -23401, -26984, -31991, -38416, -46253?
-55496
What is next in -3704, -7346, -10988, -14630, -18272, -21914?
-25556
What is next in -126297, -504378, -1134215, -2015814, -3149181, -4534322, -6171243, -8059950?
-10200449
What is the next term in 22416, 21041, 19666, 18291?
16916
What is next in -65628, -128914, -192198, -255480?
-318760
What is the next term in -41493, -41570, -41697, -41874, -42101, -42378, -42705?
-43082
What is the next term in -55647, -111358, -167127, -222948, -278815?
-334722
What is next in 141240, 142224, 143208?
144192
What comes next: -27894, -54115, -80336?
-106557
What comes next: -24923, -47185, -69447?
-91709
What is the next term in -1497226, -1497263, -1497300?
-1497337
What is the next term in 102, -507, -1862, -4239, -7914, -13163, -20262?
-29487
What comes next: -772, 2531, 8018, 15689, 25544, 37583, 51806?
68213
What is the next term in 58134, 55551, 51250, 45237, 37518, 28099?
16986
What is next in 293533, 293518, 293493, 293458?
293413
What is the next term in 146593690, 146593694, 146593698, 146593702?
146593706
What is the next term in -27498, -25961, -24424, -22887, -21350?
-19813
What is the next term in -27948294, -55896580, -83844866, -111793152?
-139741438
What comes next: -409, -658, -851, -988, -1069, -1094, -1063?
-976
What is the next term in -1130, -944, -630, -188, 382, 1080, 1906?
2860
What is next in 1155, 669, -261, -1857, -4341?
-7935
What comes next: -190150, -190161, -190174, -190189, -190206?
-190225
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3506
What is next in 6175580, 12351124, 18526668, 24702212, 30877756, 37053300?
43228844
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64420
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13980
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721705
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-3971203
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117243481
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89673
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-132279871
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365160
What is the next term in -1180, -2602, -4286, -6238, -8464, -10970, -13762, -16846?
-20228
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4417744
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-164320
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-2810694
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533993
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-103691753
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393825
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289241414
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13073
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-47679669
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-412532
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43381
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-79134
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2035752
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18578
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3415189
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-9711499
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-437441185
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1136476677
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-527113662
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-390674
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102547
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7729963
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9743296
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-22452710
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-154874
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-31602
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-2251315479
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52078481
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-11892
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422899
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75073883
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-80136
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151588666
What comes next: -9
|
{
"pile_set_name": "DM Mathematics"
}
|
Let c = -311 + 312. What are the prime factors of -8 - (c - 5) - (-800)/2?
2, 3, 11
Let o be (0 - -4) + (1 - 1) + -3. Let u be -1 + o*(-3)/(-9)*9. Suppose 2*s - u*w = -2*s + 482, 0 = -4*w + 12. What are the prime factors of s?
2, 61
Let x = 30615 - 10884. What are the prime factors of x?
3, 6577
Suppose -4 = -2*m, -3371 = -4*t + 4*m + 3753. What are the prime factors of t?
1783
Let p(h) = 2*h**2 - 5. Let k be p(2). Suppose -5*i - 2*a + k*a = -5708, -i + 3*a + 1150 = 0. List the prime factors of i.
7, 163
List the prime factors of 707*((-2)/5 + 2479/335).
7, 101
Let v(j) = -69*j**2 - 7*j + 10. Let y(k) = 2*k**3 - 7*k**2 + 3*k - 6. Let z be y(3). Let l be v(z). What are the prime factors of (-128)/60 - -2 - l/15?
2, 3
Suppose -5*z + 2116 = 2*v, -12*z + 9*z + 1257 = -3*v. List the prime factors of z.
2, 211
Let i = -474 - -968. Suppose -i*a + 488*a = -10290. What are the prime factors of a?
5, 7
Suppose -54*s + 695623 = 30*s - s. List the prime factors of s.
17, 29
Let m(i) = 11*i**3 - 4*i**2 - 17*i - 29. What are the prime factors of m(7)?
3, 127
Let n(z) = 32 + 19*z + 18 - 6*z**2 - 10 + 5*z**2. List the prime factors of n(17).
2, 37
Let i be ((-5)/(-10))/(1/(-38)). Let d = -25 - i. Let z(a) = a**3 + 6*a**2 - 6*a - 12. List the prime factors of z(d).
2, 3
Suppose 18*j + 2*c - 15 = 17*j, 40 = 5*j + 3*c. Suppose -y - j = -8, -5*g + 3*y + 2826 = 0. List the prime factors of g.
3, 7
Let l(a) = 104*a - 806. Let d be l(7). Let j = 73 + 57. Let n = d + j. What are the prime factors of n?
2, 13
Let z(b) = 77*b**2 - 5*b + 10. Let g(h) = -153*h**2 + 10*h - 21. Let n(f) = -3*g(f) - 5*z(f). List the prime factors of n(2).
13, 23
Suppose 0 = 18*f - 81 + 9. List the prime factors of 4950/f*(-2)/(-3).
3, 5, 11
Let w = -1628 + 3452. Suppose 0 = 51*m - 43*m - w. List the prime factors of m.
2, 3, 19
Suppose -4*l - 39998 = -2*v, l - 79989 = -4*v + 2*l. What are the prime factors of v?
19997
Let p = -10660 + 18734. What are the prime factors of p?
2, 11, 367
Let o(w) = -3*w**2 - 37*w + 10. Let p be o(-13). Let v(j) = -32*j + 14. List the prime factors of v(p).
2, 263
Let o be 2*2*2/4. Suppose 2 = o*b, -3*w + 4 = -7*w + 4*b. Suppose w = 3*t - 3, 0 = -2*f - 4*t + 184 + 14. What are the prime factors of f?
97
Suppose -16*m - 7078 = -21*m - 2*k, -12 = 2*k. What are the prime factors of m?
2, 709
Suppose 5*f + b = 17682 + 36799, -5 = -5*b. List the prime factors of f.
2, 3, 227
Let z be (-2)/4*(-4)/(-6)*-9. Suppose q + 3*q = 4, 0 = z*g + 4*q - 13. Suppose j + 0*j - 15 = -g*y, 4*j - 4*y + 4 = 0. List the prime factors of j.
3
Suppose -56*h + 888 = -50*h. Let l = h - -218. What are the prime factors of l?
2, 3, 61
Let t = -138 - 422. Let w = -524 - t. What are the prime factors of w?
2, 3
Let u(h) = 734*h**2 - 6*h - 3. Suppose 4*k = -10*k - 14. What are the prime factors of u(k)?
11, 67
Suppose -5*v + 997 = 3*i, -998 = -3*v - 2*v - 2*i. Suppose v = 4*q - 352. What are the prime factors of q?
2, 3, 23
Let x = 92 - 100. Suppose 5*w = 6*w - 63. Let k = w - x. List the prime factors of k.
71
Suppose -i + 5 - 10 = 0. Let c be (1/(-2))/(1197/(-238) - i). Suppose c*w - 492 = 15*w. What are the prime factors of w?
2, 3, 41
Let m = -181 + 293. Suppose -93*k - 5681 = -m*k. What are the prime factors of k?
13, 23
Let m be (-7)/5 + 6/15. Let f be ((-39)/(-6))/(m/2). Let i = 4 - f. What are the prime factors of i?
17
Let n(l) = l + 1. Let z(a) = 16*a + 1. Let g(f) = 3*n(f) - z(f). Let b be g(-2). Suppose 32*c - b*c = 340. What are the prime factors of c?
5, 17
Let c be (2 - 4 - -1)/((-2)/6). Let d be (0 + -1 + c)*1*2. What are the prime factors of (d - 303/6)/(3/(-8))?
2, 31
Let l(q) = 50*q + 3 + 6*q**2 - 6 - 45*q. What are the prime factors of l(4)?
113
Let x be (-6)/(-39) - (-120)/65. Suppose 0 = x*u + 35 - 107. List the prime factors of u.
2, 3
Let a = -921 + -1456. Let t = a + 3388. List the prime factors of t.
3, 337
Let w(c) = -c**2 - 3*c + 10. Let g be w(0). What are the prime factors of (318/18)/((g/5)/66)?
11, 53
Let u be (-20)/(-8)*-2 + 2440/4. Let i = -148 + u. List the prime factors of i.
457
Suppose -5*y + 0*b + 4*b + 11 = 0, 0 = 3*y - 2*b - 7. Suppose 4*p + y*p = -7. Let a = p - -88. List the prime factors of a.
3, 29
Let i be 19 - (15 + (-7 - 1)). What are the prime factors of (-260)/(-78)*i/(-10) + 439?
3, 5, 29
Suppose -3*h + 5*q - 121 = 0, 4 = -2*q - 2*q. Let s = h + 62. Suppose -4*i + s = -i - 2*y, 4*y = -i + 30. What are the prime factors of i?
2, 5
Let p(b) = -b**3 - 24*b**2 - 5*b - 32. Let o be p(-24). Let t be (-16)/(-7) + 4/(-14). Suppose t*v - v = o. List the prime factors of v.
2, 11
Suppose -m + 6*m = -4*g, 0 = 4*g + 4*m. Suppose g = -62*i + 64*i - 1100. What are the prime factors of i?
2, 5, 11
Let m be (-753)/(-5) - 7/((-175)/10). Let k = 48 - m. Let g = 12 - k. List the prime factors of g.
5, 23
Let c = -77 + 114. Let x = 19 - 19. Let i = c - x. What are the prime factors of i?
37
Let v = 6 + -16. Let d(a) = -3 - 11158*a + 11131*a - 1. List the prime factors of d(v).
2, 7, 19
Let c(p) = 5*p + p + 8*p + p. Let i = -9 + 17. What are the prime factors of c(i)?
2, 3, 5
Let y be (-4)/1 + 11 + 0 + -1. Suppose -y*q + 10 = -176. What are the prime factors of q?
31
Suppose -6*m + 50628 = -73836 + 12132. What are the prime factors of m?
2, 11, 23, 37
Let z = 43742 - -16423. List the prime factors of z.
3, 5, 7, 191
List the prime factors of ((-287464)/48 + (-3)/(-2))/((-8)/12).
7, 1283
List the prime factors of -1 - -8 - (-14185)/((-10)/30*-3).
2, 887
Let o(f) = 1 + 59*f**2 - 9*f + 3*f - 8*f + 17*f. List the prime factors of o(2).
3
Let o be (1 + 27/6)*2. Suppose -o = -3*i + 13. List the prime factors of i/4*101/2.
101
Let h(x) = x**2 - 22*x - 15. Let y be h(24). Suppose y = 6*a - 3*a. Suppose 0 = 3*r - 5*k - 325, -3*k = 4 + a. What are the prime factors of r?
2, 5
Let q(n) be the second derivative of -3*n**5/5 + n**4/6 + n**3/2 - n**2 + 44*n. Let p be q(2). Let y = p + 133. What are the prime factors of y?
7
Let c(h) = 11*h**2 + 86*h + 86. List the prime factors of c(-37).
7, 1709
Let v = -257 - -281. List the prime factors of 1131/(4*v/32).
13, 29
What are the prime factors of (-1 + 2)*(15196 - -199)?
5, 3079
Suppose i - 2*i - 17 = -5*d, -3*i = 2*d - 17. Suppose d*k - z = 28, 0*z = k + 3*z - 20. Suppose -k*h = -11*h + 54. What are the prime factors of h?
2, 3
Suppose 129*n = 124*n + 4*q + 265046, 5*n + 5*q - 265100 = 0. List the prime factors of n.
2, 13, 2039
Suppose 5*o + 10 = -10, -5*s + 2*o = -42308. Suppose -s = -0*k - 15*k. What are the prime factors of k?
2, 3, 47
Suppose 48 = -70*z + 66*z. What are the prime factors of ((-2)/z + (-145)/150)*-440?
2, 11
Suppose 5*k - 112 = 18. Let r be -23 + k + -1 + 2/2. List the prime factors of (-10)/(-3*r/117).
2, 5, 13
Let p(n) = 777*n**2 + 37*n - 83. List the prime factors of p(3).
7, 17, 59
What are the prime factors of 12385 + (-255)/34*10/(-25)?
2, 19, 163
Let k(j) = 45*j - 7. Let d be (1 + 2)*((-4)/(-12) + -1). Let z be k(d). Let a = 155 + z. List the prime factors of a.
2, 29
Suppose -11*p + 5925 + 11730 = 0. What are the prime factors of p?
3, 5, 107
Let f(t) = t**3 - 29*t**2 - 3*t - 24. Let w be f(31). Let m = w - 1289. What are the prime factors of m?
2, 3, 43
Suppose 4*y + 2 = -26, 0 = -5*s + 3*y + 182126. List the prime factors of s.
7, 11, 43
Let q = -122 + 281. Suppose 5*l + 3*i = 351, -5*i + 0*i = -2*l + q. Let o = l - 69. List the prime factors of o.
3
Let f = 2114 - 1214. Suppose -2*d = -0*d + 4, -q - 5*d + f = 0. Suppose 0 = 4*s + 6*s - q. List the prime factors of s.
7, 13
Let l(h) = 8077*h**2 + 103*h - 104. List the prime factors of l(1).
2, 3, 673
Let p be (-9)/(9 + (-50900)/5655). List the prime factors of (((-28)/6)/(-7))/(6/p).
3, 13, 29
Let s = -529 - -3251. Suppose -904 = 6*o - s. List the prime factors of o.
3, 101
Let m(x) be the third derivative of x**5/60 - x**4/6 - 28*x**3/3 + 10*x**2 + 3*x. List the prime factors of m(-12).
2, 17
Let r(w) = -w**2 - 25*w - 31. Suppose -10 = a - 2*o, -5*o = 5*a - o + 78. List the prime factors of r(a).
3, 41
Suppose 4*c - 5*w - 95 = 0, 2*c - 17 - 35 = 4*w. Let l = c + 50. Suppose 0 = u - l + 4. List the prime factors of u.
2, 3, 11
Suppose 186*h - 56 = 184*h. Suppose -1050 = -3*r - 2*r. Suppose -31*i + h*i = -r. List the prime factors of i.
2, 5, 7
L
|
{
"pile_set_name": "DM Mathematics"
}
|
number?
False
Is 2831 composite?
True
Is 4890251 a composite number?
False
Is 269867 prime?
False
Is 71773 a composite number?
True
Is 208381 composite?
True
Is 6121 a composite number?
False
Is 4201 prime?
True
Is 40813 prime?
True
Is 1732099 composite?
True
Is 29219 a composite number?
True
Is 24803 a prime number?
False
Is 1352749 a composite number?
False
Is 82133 composite?
True
Is 923903 a composite number?
False
Is 642769 a composite number?
False
Is 44633 prime?
True
Is 11641 a composite number?
True
Is 11789 a prime number?
True
Is 4985759 a composite number?
True
Is 296363 prime?
True
Is 19607 composite?
True
Is 1279 prime?
True
Is 12763 a composite number?
False
Is 2419 prime?
False
Is 44359 a composite number?
True
Is 756039 prime?
False
Is 6065 composite?
True
Is 237547 composite?
False
Is 29243 a prime number?
True
Is 33997 prime?
True
Is 34637 prime?
False
Is 401623 prime?
False
Is 15109 a composite number?
True
Is 18503 prime?
True
Is 557 prime?
True
Is 3389 prime?
True
Is 14173 a composite number?
False
Is 8741 prime?
True
Is 3239083 a composite number?
True
Is 8219 a prime number?
True
Is 2833 a prime number?
True
Is 1401071 a prime number?
False
Is 309251 prime?
True
Is 593839 composite?
False
Is 130619 composite?
False
Is 238703 a composite number?
False
Is 154367 a composite number?
True
Is 648947 a prime number?
False
Is 29102 prime?
False
Is 208597 composite?
True
Is 124897 a composite number?
False
Is 1439 a prime number?
True
Is 174355 prime?
False
Is 798943 a prime number?
True
Is 16505 a prime number?
False
Is 10379 composite?
True
Is 75149 prime?
True
Is 102041 a composite number?
True
Is 15859 a composite number?
False
Is 17213 a prime number?
False
Is 32187 a prime number?
False
Is 4751 a prime number?
True
Is 569945 a prime number?
False
Is 2503 prime?
True
Is 144862 composite?
True
Is 490367 composite?
False
Is 3901 a prime number?
False
Is 163531 prime?
False
Is 62941 a prime number?
False
Is 5142785 composite?
True
Is 7559 composite?
False
Is 1001191 a composite number?
False
Is 968313 composite?
True
Is 215297 a composite number?
False
Is 250427 prime?
False
Is 8147 composite?
False
Is 15547 prime?
False
Is 9967 composite?
False
Is 24943 a prime number?
True
Is 14341 composite?
False
Is 7801 prime?
False
Is 10951 a prime number?
False
Is 78878 prime?
False
Is 787 a composite number?
False
Is 88687 a composite number?
True
Is 626239 prime?
True
Is 20807 composite?
False
Is 131591 a prime number?
True
Is 21377 a prime number?
True
Is 5039 a prime number?
True
Is 2591 a composite number?
False
Is 6521 composite?
False
Is 19121 a composite number?
False
Is 4691 composite?
False
Is 11157 a composite number?
True
Is 3646 composite?
True
Is 395191 a composite number?
False
Is 106439 prime?
False
Is 371 prime?
False
Is 57413 prime?
True
Is 3797 a prime number?
True
Is 17011 a composite number?
False
Is 37523 prime?
False
Is 5077 a composite number?
False
Is 222559 a composite number?
True
Is 104459 a composite number?
False
Is 211129 prime?
True
Is 49807 prime?
True
Is 63449 prime?
False
Is 3557 prime?
True
Is 29269 a composite number?
False
Is 8039 a prime number?
True
Is 13229 a composite number?
False
Is 575241 a composite number?
True
Is 2927 composite?
False
Is 11959 composite?
False
Is 1228705 a prime number?
False
Is 15727 a prime number?
True
Is 9551 a composite number?
False
Is 49103 prime?
True
Is 74751 a prime number?
False
Is 411637 prime?
True
Is 8354 a composite number?
True
Is 149993 composite?
False
Is 1597121 a composite number?
True
Is 20477 a prime number?
True
Is 11351 a composite number?
False
Is 494573 prime?
False
Is 1206301 prime?
False
Is 152909 a prime number?
True
Is 186071 a prime number?
True
Is 10499 composite?
False
Is 152879 a composite number?
False
Is 22467 prime?
False
Is 39115 a prime number?
False
Is 163193 composite?
False
Is 73433 a prime number?
True
Is 39 a composite number?
True
Is 17669 a prime number?
True
Is 1572481 composite?
True
Is 1125517 a composite number?
True
Is 2927 prime?
True
Is 19709 a composite number?
False
Is 630281 a composite number?
False
Is 5703 a prime number?
False
Is 174497 composite?
True
Is 2279669 a composite number?
True
Is 395807 a prime number?
False
Is 34247 prime?
False
Is 9199 composite?
False
Is 367357 a composite number?
False
Is 831911 a prime number?
True
Is 40897 prime?
True
Is 14377 a prime number?
False
Is 2744491 a composite number?
False
Is 101221 a prime number?
True
Is 493831 a prime number?
False
Is 38593 a composite number?
False
Is 8903 a composite number?
True
Is 25057 a prime number?
True
Is 39731 composite?
True
Is 297359 prime?
True
Is 115807 prime?
True
Is 10771 composite?
False
Is 51893 a prime number?
True
Is 1042009 composite?
True
Is 639185 prime?
False
Is 334349 prime?
True
Is 119953 composite?
False
Is 10765 prime?
False
Is 21779 prime?
False
Is 32909 prime?
True
Is 641 composite?
False
Is 93809 a prime number?
True
Is 226283 a prime number?
True
Is 114461 prime?
False
Is 89041 composite?
False
Is 9859 a composite number?
False
Is 69371 a prime number?
True
Is 9467 prime?
True
Is 17861 a prime number?
False
Is 529619 a composite number?
False
Is 3709 prime?
True
Is 73241 composite?
True
Is 169987 prime?
True
Is 306713 composite?
True
Is 721007 a prime number?
False
Is 2095 a composite number?
True
Is 3959 composite?
True
Is 21259 composite?
True
Is 28697 composite?
False
Is 224443 prime?
True
Is 17681 a prime number?
True
Is 769 composite?
False
Is 1151807 a prime number?
True
Is 607211 prime?
False
Is 29009 a prime number?
True
Is 14867 composite?
False
Is 43637 composite?
True
Is 4759 composite?
False
Is 655679 composite?
True
Is 5557489 a prime number?
False
Is 258617 prime?
True
Is 1544143 prime?
False
Is 6299 composite?
False
Is 13259 composite?
False
Is 7723 a prime number?
True
Is 327269 a prime number?
False
Is 63949 composite?
False
Is 28751 prime?
True
Is 1796809 composite?
True
Is 701 a prime number?
True
Is 59881 prime?
False
Is 1537 prime?
False
Is 197803 composite?
False
Is 128549 a composite number?
False
Is 30201 prime?
False
Is 87089 a prime number?
False
Is 379159 prime?
False
Is 21635 composite?
True
Is 413951 composite?
False
Is 55795 a composite number?
True
Is 97 prime?
True
Is 545297 a composite number?
True
Is 429647 composite?
True
Is 1315349 a prime number?
False
Is 152681 a composite number?
False
Is 15013 prime?
True
Is 129707 a composite number?
False
Is 171733 composite?
False
Is 641 prime?
True
Is 18897 composite?
True
Is 5137 a composite number?
True
Is 5179 a prime number?
True
Is 21313 a prime number?
True
Is 541 a composite number?
False
Is 3593 a prime number?
True
Is 83023 composite?
False
Is 10529 prime?
True
Is 23 a composite number?
False
Is 61041 a composite number?
True
Is 734 a composite number?
True
Is 190753 a composite number?
False
Is 97819 a composite number?
True
Is 134429 composite?
True
Is 66779 composite?
True
Is 26977 prime?
False
Is 8941 prime?
True
Is 400909 prime?
False
Is 24223 composite?
False
Is 502 composite?
True
Is 48073 prime?
True
Is 84857 composite?
False
Is 98961 a composite number?
True
Is 173969 a composite number?
False
Is 710777 prime?
True
Is 6805 a composite number?
True
Is 696469 a composite number?
True
Is 102761 a prime number?
True
Is 150333 a prime number?
False
Is 2074433 a prime number?
True
Is 1027223 a composite number?
False
Is 13667 a composite number?
True
Is 45763 prime?
True
Is 192161 prime?
True
Is 136127 a prime number?
False
Is 26753 a prime number?
False
Is 56395 composite?
True
Is 5953 a prime number?
True
Is 29909 prime?
False
Is 2459 prime?
True
Is 1121423 a composite number?
False
Is 4645 a composite number?
True
Is 188867 composite?
True
Is 42233 a prime number?
False
Is 13649 a prime number?
True
Is 15221 composite?
True
Is 78059 prime?
True
Is 26209 a composite number?
False
Is 184669 a prime number?
True
Is 751186 prime?
False
Is 1155373 prime?
True
Is 49003 composite?
False
Is 16361 a composite number?
False
Is 152183 a prime number?
True
Is 192715 prime?
False
Is 1820201 a composite number?
False
Is 57003 prime?
False
Is 7051 composite?
True
Is 298985 prime?
False
Is 2141515 prime?
False
Is 122263 a composite numbe
|
{
"pile_set_name": "DM Mathematics"
}
|
ided by 61?
55
What is the remainder when 5225 is divided by 40?
25
Calculate the remainder when 1976 is divided by 46.
44
What is the remainder when 666 is divided by 218?
12
What is the remainder when 118 is divided by 52?
14
What is the remainder when 4739 is divided by 4734?
5
What is the remainder when 56 is divided by 16?
8
Calculate the remainder when 254 is divided by 29.
22
What is the remainder when 77 is divided by 24?
5
What is the remainder when 758 is divided by 192?
182
Calculate the remainder when 898 is divided by 12.
10
Calculate the remainder when 256 is divided by 123.
10
What is the remainder when 2325 is divided by 63?
57
Calculate the remainder when 115 is divided by 59.
56
What is the remainder when 3024 is divided by 11?
10
What is the remainder when 310 is divided by 13?
11
Calculate the remainder when 261 is divided by 113.
35
What is the remainder when 271 is divided by 22?
7
What is the remainder when 365 is divided by 75?
65
What is the remainder when 44053 is divided by 267?
265
What is the remainder when 295 is divided by 288?
7
Calculate the remainder when 65 is divided by 37.
28
What is the remainder when 325 is divided by 161?
3
Calculate the remainder when 1017 is divided by 20.
17
What is the remainder when 298 is divided by 101?
96
What is the remainder when 2126 is divided by 704?
14
Calculate the remainder when 211 is divided by 67.
10
Calculate the remainder when 259 is divided by 89.
81
What is the remainder when 12263 is divided by 4083?
14
Calculate the remainder when 62 is divided by 7.
6
What is the remainder when 1339 is divided by 71?
61
Calculate the remainder when 3702 is divided by 3700.
2
Calculate the remainder when 8271 is divided by 2750.
21
Calculate the remainder when 1516 is divided by 190.
186
What is the remainder when 125 is divided by 31?
1
What is the remainder when 188 is divided by 10?
8
What is the remainder when 2910 is divided by 2907?
3
What is the remainder when 523 is divided by 15?
13
What is the remainder when 65 is divided by 17?
14
Calculate the remainder when 6858 is divided by 73.
69
Calculate the remainder when 3584 is divided by 13.
9
What is the remainder when 2447 is divided by 81?
17
Calculate the remainder when 212 is divided by 145.
67
What is the remainder when 165 is divided by 154?
11
What is the remainder when 3968 is divided by 3956?
12
What is the remainder when 296 is divided by 43?
38
What is the remainder when 904 is divided by 130?
124
What is the remainder when 680 is divided by 174?
158
Calculate the remainder when 945 is divided by 6.
3
Calculate the remainder when 18381 is divided by 14.
13
What is the remainder when 1374 is divided by 201?
168
Calculate the remainder when 3467 is divided by 157.
13
What is the remainder when 1191 is divided by 379?
54
Calculate the remainder when 2347 is divided by 11.
4
What is the remainder when 576 is divided by 58?
54
What is the remainder when 1338 is divided by 206?
102
Calculate the remainder when 208 is divided by 19.
18
Calculate the remainder when 2539 is divided by 38.
31
Calculate the remainder when 348 is divided by 44.
40
Calculate the remainder when 554 is divided by 92.
2
Calculate the remainder when 1805 is divided by 42.
41
Calculate the remainder when 2242 is divided by 11.
9
What is the remainder when 71 is divided by 8?
7
Calculate the remainder when 1758 is divided by 124.
22
Calculate the remainder when 5860 is divided by 41.
38
What is the remainder when 264 is divided by 181?
83
Calculate the remainder when 156 is divided by 41.
33
Calculate the remainder when 218 is divided by 25.
18
Calculate the remainder when 157 is divided by 72.
13
What is the remainder when 153 is divided by 6?
3
What is the remainder when 1037 is divided by 104?
101
What is the remainder when 514 is divided by 29?
21
What is the remainder when 1013 is divided by 251?
9
Calculate the remainder when 2025 is divided by 29.
24
What is the remainder when 323 is divided by 296?
27
What is the remainder when 472 is divided by 39?
4
Calculate the remainder when 121 is divided by 25.
21
What is the remainder when 8521 is divided by 203?
198
Calculate the remainder when 196 is divided by 101.
95
Calculate the remainder when 6449 is divided by 716.
5
Calculate the remainder when 77 is divided by 60.
17
What is the remainder when 79 is divided by 5?
4
Calculate the remainder when 757 is divided by 151.
2
Calculate the remainder when 835 is divided by 179.
119
Calculate the remainder when 2448 is divided by 129.
126
What is the remainder when 122 is divided by 62?
60
What is the remainder when 107 is divided by 28?
23
Calculate the remainder when 233 is divided by 18.
17
What is the remainder when 247 is divided by 62?
61
Calculate the remainder when 4130 is divided by 84.
14
What is the remainder when 540 is divided by 68?
64
What is the remainder when 96 is divided by 36?
24
What is the remainder when 989 is divided by 159?
35
What is the remainder when 511 is divided by 19?
17
What is the remainder when 471 is divided by 118?
117
Calculate the remainder when 102 is divided by 27.
21
Calculate the remainder when 30 is divided by 18.
12
Calculate the remainder when 2205 is divided by 535.
65
What is the remainder when 94 is divided by 40?
14
Calculate the remainder when 835 is divided by 22.
21
Calculate the remainder when 220 is divided by 28.
24
What is the remainder when 543 is divided by 184?
175
What is the remainder when 3139 is divided by 9?
7
What is the remainder when 818 is divided by 41?
39
Calculate the remainder when 593 is divided by 83.
12
What is the remainder when 2076 is divided by 48?
12
Calculate the remainder when 57 is divided by 17.
6
What is the remainder when 790 is divided by 66?
64
Calculate the remainder when 2320 is divided by 14.
10
What is the remainder when 1878 is divided by 47?
45
What is the remainder when 215 is divided by 62?
29
Calculate the remainder when 4720 is divided by 62.
8
Calculate the remainder when 22663 is divided by 16.
7
What is the remainder when 13 is divided by 2?
1
What is the remainder when 5125 is divided by 177?
169
Calculate the remainder when 198 is divided by 54.
36
Calculate the remainder when 5583 is divided by 37.
33
What is the remainder when 504 is divided by 134?
102
Calculate the remainder when 731 is divided by 4.
3
What is the remainder when 331 is divided by 89?
64
Calculate the remainder when 44 is divided by 10.
4
Calculate the remainder when 186 is divided by 63.
60
Calculate the remainder when 381 is divided by 6.
3
Calculate the remainder when 1281 is divided by 56.
49
Calculate the remainder when 430 is divided by 109.
103
What is the remainder when 808 is divided by 21?
10
What is the remainder when 37882 is divided by 42?
40
Calculate the remainder when 198 is divided by 49.
2
What is the remainder when 524 is divided by 165?
29
What is the remainder when 1063 is divided by 38?
37
What is the remainder when 1395 is divided by 697?
1
Calculate the remainder when 461 is divided by 95.
81
What is the remainder when 203 is divided by 160?
43
What is the remainder when 235 is divided by 4?
3
Calculate the remainder when 375 is divided by 96.
87
Calculate the remainder when 834 is divided by 76.
74
What is the remainder when 18117 is divided by 6?
3
What is the remainder when 3279 is divided by 327?
9
What is the remainder when 100 is divided by 87?
13
What is the remainder when 191 is divided by 91?
9
Calculate the remainder when 3479 is divided by 9.
5
Calculate the remainder when 553 is divided by 20.
13
What is the remainder when 25 is divided by 22?
3
What is the remainder when 43 is divided by 11?
10
What is the remainder when 2839 is divided by 411?
373
What is the remainder when 425 is divided by 104?
9
What is the remainder when 2273 is divided by 25?
23
Calculate the remainder when 80 is divided by 23.
11
Calculate the remainder when 98 is divided by 41.
16
What is the remainder when 220 is divided by 6?
4
Calculate the remainder when 183 is divided by 34.
13
What is the remainder when 371 is divided by 93?
92
Calculate the remainder when 16 is divided by 5.
1
Calculate the remainder when 696 is divided by 115.
6
What is the remainder whe
|
{
"pile_set_name": "DM Mathematics"
}
|
d be 175 + -1 - j*8/(-4). Let a = d - 77. What are the prime factors of a?
3, 11
Let o = -254 + -21. Let t(c) = 94*c - 90. Let m be t(6). Let r = o + m. What are the prime factors of r?
199
Suppose -3*f - 8*k + 10*k - 12 = 0, 2*k = 2*f + 6. What are the prime factors of (-24 + 26)/((-2)/f)?
2, 3
Suppose -18*q + 3952 = q. Let p = 665 - q. List the prime factors of p.
457
Let n(u) = u**3 - 9*u**2 + 6*u + 10. Let j be n(8). Let g(f) = -2*f - 7*f + 2*f - 6*f - 14 + 9*f. List the prime factors of g(j).
2, 5
What are the prime factors of 1179247/214 - (-1)/2?
3, 11, 167
Suppose 162*r - 159*r = -h + 8389, -5*h + 41855 = 5*r. List the prime factors of h.
2, 37, 113
Let w(z) = -z**3 - 12*z**2 - 39*z - 50. Let i be w(-17). Suppose -i - 5542 = -20*b. List the prime factors of b.
2, 5, 19
Let f be (-4 - -1 - 4/(-4)) + 38. Suppose k + 3*x = f, 3*k + 0*k = x + 98. Suppose p = 87 + k. What are the prime factors of p?
2, 3, 5
List the prime factors of 17127 - (10 + (-4 + 8 - 7)).
2, 5, 107
Let q(z) = 332*z**3. Let w be q(1). Let p be w/6*(-27)/9. Let n = p - -277. What are the prime factors of n?
3, 37
Let o = 9005 + -4425. What are the prime factors of o?
2, 5, 229
List the prime factors of (-229)/((-85)/837 + 112/1736).
3, 229
Suppose p - 33173 + 85618 = 6*p. What are the prime factors of p?
17, 617
Let y(s) = s**3 + 13*s**2 - 17*s - 42. Let l be y(-14). Let t be (-65 + l)/(1 - 6/3). List the prime factors of t/1 - (2 - -3).
2, 3, 5
Let h(g) = 64*g**2 + 102*g - 1281. What are the prime factors of h(15)?
3, 19, 257
Let t(b) = 34*b - 6. Let h be t(11). Let i = 122 + h. What are the prime factors of i?
2, 5, 7
Let z = 6168 - 5112. What are the prime factors of z?
2, 3, 11
Let r = -3691 - -9865. What are the prime factors of r?
2, 3, 7
Let h(q) = -379*q + 7070. List the prime factors of h(-37).
3, 79, 89
Let q = -187 + 195. List the prime factors of (q + (-92)/12)/(2/2616).
2, 109
List the prime factors of ((-7441)/(-14) - -4)*620/217.
2, 3, 5, 17
Let d(m) = -m**2 + 5*m + 11. Let i be d(8). Let f(l) = 72*l - 38 + 71*l - 156*l. List the prime factors of f(i).
131
Suppose 3*o - 109 = 3*v + 4*o, -3*o + 33 = -v. Let d be (-4 - -3)/((-4)/v). List the prime factors of (75/10)/(d/(-48)).
2, 5
Suppose -6*z - 2437 = -7657. Suppose -5*p + 2198 = n, -49*n = 2*p - 44*n - z. What are the prime factors of p?
2, 5, 11
Let c = 3191 + 3893. What are the prime factors of c?
2, 7, 11, 23
Suppose -2*n - 2*f = 3*f - 31, -3*f + 18 = n. Let k be 41/(n - 70/25). Suppose 171 = 4*a - k. What are the prime factors of a?
2, 47
Let b(y) = -y**3 - 2*y**2 - y - 227. Let i be b(0). Let h = i + 412. List the prime factors of h.
5, 37
List the prime factors of ((-4)/((-4)/(-5)))/1 + 28886/26.
2, 7, 79
Let v = -530 - -522. What are the prime factors of 308/32 - 10 - 4571/v?
571
Let m(c) = -24*c**3 + 5*c**2 + 3*c + 75. List the prime factors of m(-6).
3, 13, 139
Suppose 0 = -3*b - 4*p + 2 - 10, -3*b + 2*p = 14. Suppose 0 = 4*n - 4*l + 28, -6*l = -2*n - 3*l - 15. List the prime factors of -4*(b/n)/(16/(-408)).
2, 17
Suppose 0 = 12*r - 7*r + 5*m - 27015, 4*m = 2*r - 10836. List the prime factors of r.
2, 13
Suppose -3*s + 6*s - 5*w = 76, -2*s + 44 = -5*w. Let m = -9 + 12. Suppose -2*q - m*o = -s, 4*q - 2*o = 84 - 20. List the prime factors of q.
2
Suppose n = -5*f + 15300, -f = -37*n + 42*n - 3060. What are the prime factors of f?
2, 3, 5, 17
Let q be ((-30)/9)/((-25)/90). Suppose q*w + 27269 = 49*w. What are the prime factors of w?
11, 67
Let g = 17 - 5. Suppose 4*i - i = -3*n + g, 2*i = 5*n - 20. Suppose 5*c - 316 = o, 12 + 224 = n*c - 5*o. What are the prime factors of c?
2
Let y = 988 + 106. Let g = 1556 - y. Let i = g + -212. List the prime factors of i.
2, 5
List the prime factors of (3/2*(-330)/495)/(2/(-2318)).
19, 61
Let b = 92 + -75. Let i = b - 27. List the prime factors of (-10526)/(-95)*i/(-4).
277
Let m(k) = 4*k**2 + 2*k + 21. Let f be m(-10). Suppose f = 4*b - 739. List the prime factors of b.
3, 5, 19
Let w(y) = 438*y + 137. What are the prime factors of w(10)?
4517
Let v be (-6 + 0 + -2)*2/(-16). What are the prime factors of 2/(-8)*v - (-6548)/16?
409
Suppose -9 = -2*q + 1. Suppose 0 = -3*m - 5*g + 1014, -q*m - 2*g = -7*g - 1690. What are the prime factors of m?
2, 13
Let s(t) = -18*t - 20*t + 30*t + 14. Suppose -10 = -2*x - 28. What are the prime factors of s(x)?
2, 43
Let m(n) = -n**3 - 4*n**2 + 7*n - 2. Let l be m(1). Suppose l = -4*q + 4*o + 520, 5*q = 4*o + 591 + 59. What are the prime factors of q?
2, 5, 13
Let a = -13 - -15. Suppose -120 = -14*m + a*m. List the prime factors of m.
2, 5
Let o(n) = 142*n + 4. Let r be o(4). Let q be (120/(-66))/(13/(-286)). Suppose 0 = -4*k - 4*t + r, -5*k + q = -3*t - 659. List the prime factors of k.
3, 47
Let h(u) be the second derivative of u**5/10 - u**4/2 + 6*u**3 + 7*u**2 - 246*u. List the prime factors of h(6).
2, 223
Let n(r) = -4*r**3 - 2*r**2 + 13. Let d be n(-3). Let u = 626 - d. List the prime factors of u.
523
Let p be ((-79)/(-2))/(2/(-4)). Let u(y) = -2*y**2 + 124*y - 548. Let w be u(54). List the prime factors of (1 - 338/8)/(p/w).
3, 5, 11
Let h(p) = 37*p**2 + p + 10. Let m be h(-7). Suppose z + z - 5*t = m, 0 = 5*z - 2*t - 4582. List the prime factors of z.
2, 3, 17
Let m(p) = 10*p + 170. Suppose -2*b = 4*d - 136, -2*d + 2*b = -2*b - 58. What are the prime factors of m(d)?
2, 5
Let x = -279 - -417. Suppose -3*j + x = -j. Suppose 151 = 5*n - j. What are the prime factors of n?
2, 11
Suppose -1568 = -3*i - 14*w + 12*w, 5*w = 5*i - 2605. Let k = i + -128. List the prime factors of k.
2, 197
Suppose -2*k + 8*b + 35113 = 3*b, 0 = -k + 2*b + 17559. Suppose 15*c - 701 - k = 0. List the prime factors of c.
2, 3, 7, 29
Let b(u) = 59*u**3 - 8*u**2 + 8*u - 44. What are the prime factors of b(4)?
2, 3, 101
Let j(b) be the first derivative of 2*b**3 + 9*b**2/2 - 4*b - 23. List the prime factors of j(-10).
2, 11, 23
Let n be -4*((-76)/8 - -6). Suppose -2*c - 260 = -s, -3*s + n*c = 11*c - 780. List the prime factors of s.
2, 5, 13
Suppose -24*r + 3738 + 15654 = 0. Let u = r - 401. List the prime factors of u.
11, 37
Suppose 0 = 4*q + 3*p - 2, 6*p = 3*q + 10*p + 2. Let l(w) = -6*w + 14. Let j be l(q). List the prime factors of 0 + 3 + j + -3 - -196.
2, 3, 11
Suppose 0 = -80*n - 629790 + 1996270. List the prime factors of n.
19, 29, 31
Suppose -4*g + 2*j - 7*j = 23, g + 2*j = -8. Let l be (0*(-1 - g))/(-2). Suppose 2*q - 376 = -3*q + o, l = 2*q + 3*o - 147. What are the prime factors of q?
3, 5
Let d = 32 - 250. Let v = d + 266. What are the prime factors of v?
2, 3
Let j = 56835 + -35600. What are the prime factors of j?
5, 31, 137
Suppose -3*q + 4*q = 5*c - 70, 0 = 2*c. Let v = q - -433. List the prime factors of v.
3, 11
Let p be ((-6)/4)/((-195)/3640). List the prime factors of 2506*p/16*(-12)/(-42).
7, 179
Let i = 43319 - 24008. What are the prime factors of i?
3, 41, 157
Let i(a) = -605*a - 10328. What are the prime factors of i(-128)?
2, 8389
Let g = 6 + 11. Suppose -a + 6 = -g. Let c = 45 - a. List the prime factors of c.
2, 11
Let o = 1484 + -2921. Let v = -701 - o. List the prime factors of v.
2, 23
Let k be (3 - 2)*(0 + 4951). Suppose -13*x = -k - 3811. List the prime factors of x.
2, 337
Suppose 10*q + 38096 = 12*q + 2*b, 0 = q + 4*b - 19042. What are the prime factors of q?
2, 3, 5, 127
Let a(n) be the first derivative of 4*n**3/3 + 10*n**2 + 31*n - 15. Let y(r) be the first derivative of a(r). List the prime factors of y(16).
2, 37
Let m(l) = l**3 - 6*l**2 + 12*l - 4. Let v be m(4). List the prime factors of v + 637 + 6 + 3/(-3).
2, 3, 109
Let y(d) = 349*d**3 - 5*d**2 + 80*d - 295. What are the prime factors of y(5)?
3, 5, 17, 19
Suppose -60*x + 99457 - 68586 + 140069 = 0. What are the prime factors of x?
7, 11, 37
What are the prime factors of 1/(-9*(-3)/298836)?
2, 2767
Suppose 196*f - 195*f = -4. Let b(p) = p**3 + 4*p**2 + p + 6. Let w be b(f). List the prime factors of (235 - 0)*(-8 + 7 + w).
5, 47
Let t(r) be the second derivative of -19*r**3 + 6*r**2 - 3*r. Let c be t(-2). Suppose 0 = -0*b + 8*b - c. What are the prime factors of b?
2, 3, 5
Suppose -9*h + 45 = -0*h. Suppose 5*u + 4*j - 1410 = 0, -3*j = h*u - 837 - 568. List the prime factors of u.
2, 139
Let q = -320 + 325. Suppose -600 = -j - 0*j + o, -2985 = -q*j
|
{
"pile_set_name": "DM Mathematics"
}
|
i(1) is divided by d(9)?
15
Let b be 40/30*-3 + 5 + -1. Suppose 8 = 2*s - b. Calculate the remainder when 22 is divided by s.
2
Suppose -9*a - 29 = -56. Suppose 27 = t - a*l, 4*t - 2*t + 2*l = 14. What is the remainder when 225 is divided by t?
9
Let f(p) = 4*p**2 - 4*p - 182. Calculate the remainder when f(11) is divided by 7.
6
Let s = -34 - -52. Let m be (-132)/726 - (-488)/22. Let z = m - s. Calculate the remainder when 8 is divided by z.
0
Let w(v) = v**2 + 4*v - 4. Let a be w(-5). Suppose -16*j + 23 = -73. Calculate the remainder when j is divided by ((-3)/(-9))/(a/6).
0
Suppose -1065 + 390 = -5*s. Suppose 0*c = i - 2*c - s, 0 = -2*c. Suppose 0 = -5*t + i - 50. What is the remainder when 31 is divided by t?
14
Suppose -5*h = -v + 32, 2*v - 2 - 27 = 3*h. Let x(s) = 9*s - 13. What is the remainder when x(v) is divided by 18?
14
Suppose 2*x - 18 = 0, -4*u + 221 = -x + 4*x + 22. Let f(o) = -32*o - 8. What is the remainder when f(-6) is divided by u?
12
Let z(c) = c**3 - 6*c**2 - c - 29. Calculate the remainder when 2268 is divided by z(8).
84
Let c = -211 + 634. Let b(r) = 151*r**2 + 1657*r - 27. Calculate the remainder when c is divided by b(-11).
15
Suppose 25*o - 124*o = -10185 - 7536. What is the remainder when 894 is divided by o?
178
Suppose -105 = -4*a + 5*d, d = a + 169 - 195. Calculate the remainder when 373/1 + (4 - 5) is divided by a.
22
Let y be (1 - 52)/(-6 + 3). Suppose 8 = -3*g - 4*m + 1, -5*m - y = g. Suppose -6 = -g*p, 2*l + 8*p - 4*p - 28 = 0. What is the remainder when l is divided by 6?
4
Suppose 7*n = 2*n + 2*l + 341, l = -2*n + 140. Suppose 0 = -4*t + n - 13. What is the remainder when 137 is divided by t?
11
Suppose 2*y = -m + 14, 91*y = 4*m + 92*y - 49. Calculate the remainder when 79 is divided by m.
7
Let c be (-4)/(-18) - (141/27 + 3). Let m be c/(-6) + 10/6 - -2. Suppose 0*u + m*u = -n - 9, 0 = 5*n + 3*u - 65. What is the remainder when 26 is divided by n?
10
Let d be -9*(11/9 - (-16)/(-72)). Let u(x) = x + 13. Let h be u(d). Calculate the remainder when 14 is divided by (h/3)/(1/3).
2
Let l = 77 + -86. Let m be (-1 + 14/6)/(l/(-1242)). Suppose -15*z = -7*z - m. Calculate the remainder when z is divided by 13.
10
Let c = 7 + -5. Suppose c*x - 97 = -4*o + 5*o, 3*o + 3 = 0. Let d = x + 5. Calculate the remainder when d is divided by 14.
11
Suppose 0 = -4*c + 16, -4688 = -53*q + 50*q + c. What is the remainder when q is divided by 98?
94
Suppose -3*r = -13 + 10. Let x(m) = 37*m - 12. What is the remainder when 113 is divided by x(r)?
13
Let w = 154 - 146. Suppose -5 = 5*j, w*g - j - 173 = 4*g. Calculate the remainder when g is divided by 23.
20
Let h = -125 + 101. Let o = 59 + h. Calculate the remainder when 174 is divided by o.
34
What is the remainder when 2319 is divided by (306/(-24) - 1)/(4/(-96))?
9
Suppose 2*m + r = 336, 0 = 5*m + 2*r - 5*r - 818. What is the remainder when 359 is divided by m?
27
Let n = -138 - -144. Suppose i = -j + 9, n*i - i + j = 61. Suppose -s + 2*g = -68, 2*g = -s - 0*s + 52. What is the remainder when s is divided by i?
8
Let v = 5070 - 5046. Calculate the remainder when 107 is divided by v.
11
Let i(v) = 5*v + 1. Suppose -2*j - 4*w - 4 = 0, 3*j + 0*j - 21 = 3*w. Suppose -j*s + 52 + 104 = 0. What is the remainder when s is divided by i(4)?
18
Let h(a) = -3*a - 85. Let f be h(-20). Let z = 72 + -107. Let l = f - z. What is the remainder when l is divided by 8?
2
Let i(m) = 4*m**2 + 6*m - 133. What is the remainder when i(-19) is divided by 60?
57
Let r = 4740 + -4732. Calculate the remainder when 6751 is divided by r.
7
Suppose -53*n + 46*n + 4936 = -1147. Calculate the remainder when n is divided by 87.
86
Suppose -5*n = -3*l - 82, 7*n - 3*n + l - 52 = 0. Calculate the remainder when 37 is divided by n.
9
Let k = 152 + -184. Let w = k + 33. Calculate the remainder when 29 is divided by w.
0
Suppose -506 = -4*m + 2*p, -3*m + 258 = -m + 4*p. Let z(a) = 68*a**2 + a. Calculate the remainder when m is divided by z(-1).
60
Let d be 2/(-5)*-6*-35. Let h = d - -106. What is the remainder when 19 is divided by (-18)/(-99) + 172/h?
3
Let q(u) = 2*u**3 - 15*u**2 + 17*u - 10. Let y be q(7). Suppose -3*b - 2 + y = i, -22 = -2*b - 4*i. What is the remainder when 51 is divided by b?
9
Let x(t) = -32*t**2 + 0*t + 7 + 31*t**2 - 4*t + 2 - 2*t. Suppose 0 = 5*r + 4*v - v - 260, 5*r = -v + 260. Calculate the remainder when r is divided by x(-5).
10
Suppose -200 = -3*l + 4*q - 94, -3*l = q - 71. What is the remainder when 1319 is divided by l?
19
Let x = 3017 - 2834. Calculate the remainder when x is divided by 69.
45
Suppose -462*a = -140*a - 52401 - 20371. What is the remainder when 2032 is divided by a?
224
Suppose g = 5*o - 30, 3*o - 2*g = 4*o - 17. Let l(b) = 10 - 8*b**2 - 8*b**2 + 8*b + o*b + 14*b**2. What is the remainder when 19 is divided by l(8)?
1
Suppose -y - o = o - 869, 4323 = 5*y - o. Calculate the remainder when y is divided by 175.
165
Let v(a) = -a**3 + 6*a**2 + 7*a + 10. Let h be 3*-1 - (-124 - 5). What is the remainder when v(7) is divided by 4/(96/h) + 2/(-8)?
0
Suppose 0 = 2*n + 3 + 1, 4*r - 4*n - 24 = 0. Let i be r*15*4/12. What is the remainder when i/8*(144/(-15))/(-4) is divided by 2?
0
Suppose 4*p + 796 = 4*g, 5*p - 686 + 1675 = 2*g. Let z = 245 + p. What is the remainder when z is divided by 969/39 + 4/26?
23
Let a = 34 - 23. Let b(s) = -s**3 + 10*s**2 + 12*s + 22. Let y = 17 + -8. Calculate the remainder when b(a) is divided by y.
6
Let a(v) = -35 - v + 4*v + 12 + 12*v**2 - v**3. Calculate the remainder when 23 is divided by a(12).
10
Suppose 4*v + 5*d - 120 = 0, -2*v - 6*d + 66 = -2*d. Let o = 1668 + -607. Suppose -5*x - 566 + o = 0. Calculate the remainder when x is divided by v.
24
Suppose 14*a = 16*a - 14. Suppose 3*y + a = 4*y. Let u(f) = -f**2 - 41*f - 13. What is the remainder when u(-40) is divided by y?
6
Let m(x) = 5*x**2 - 6*x - 36. Let f(h) = 6*h**2 - 5*h - 37. Let j(z) = -2*f(z) + 3*m(z). What is the remainder when j(6) is divided by 7?
5
Suppose a - 130 = -c - 0*c, 5*a - c - 632 = 0. Suppose 2*y = -3*j + 200, a*j + 5*y - 84 = 126*j. Calculate the remainder when j is divided by 23.
18
Suppose 19*g = 2953 - 901. Let h = 76 - 48. Calculate the remainder when g is divided by h.
24
Let q be (-4)/((-20)/(-1715)) + -5. What is the remainder when (-151)/(-17) - (5 + q/68) is divided by 9?
0
Let s(i) = 5*i + 19. Suppose -2*n - n = -5*m - 59, -3*n + 57 = -3*m. Calculate the remainder when s(n) is divided by 23.
17
Let m(a) = -a**3 + 8*a**2 - a - 4. Let j(q) = -75*q**2 - 166*q. Calculate the remainder when m(6) is divided by j(-2).
30
Let c = -331 + 523. Let d = c - 165. What is the remainder when d is divided by 22?
5
Suppose 0 = -4*a + 4*j + 12, -j = -3*a - 4 + 11. Let r be ((-201)/(-9) - -4) + a/3. Suppose -r*q + 25*q = -70. What is the remainder when q is divided by 9?
8
Suppose 10*o - 147 = -17. Suppose -16*h + o*h + 30 = 0. Let k(q) = 2*q**2 + 8*q - 6. Calculate the remainder when k(-7) is divided by h.
6
Suppose 89*r = -8439 + 21086 + 32565. Calculate the remainder when r is divided by 102.
100
Suppose 0 = -5*d - v + 360, 5*d + 0*d - 3*v - 380 = 0. Suppose 11 = 6*l - d. Suppose -644 = -l*j + 7*j. Calculate the remainder when j is divided by 25.
17
Suppose 1257 = 5*t - 1717 - 1301. What is the remainder when t is divided by 26?
23
Suppose 22*u = 50*u - 1176. Let r(z) = 2*z**2 - 2*z - 7. Let g be r(5). Suppose -2*y + g = 1. Calculate the remainder when u is divided by y.
10
Suppose -5*o = 69*t - 74*t - 270, 4*o = -5*t + 180. What is the remainder when 285 is divided by o?
35
Suppose 2*g = -1 - 3, -x + 1 = -5*g. Let r(o) = 3*o + 38. What is the remainder when 326 is divided by r(x)?
7
Suppose r - 6*r = -5*a - 10, 2*r + 2*a = 12. Let d(k) = -65*k - 1. Calculate the remainder when d(-1) is divided by ((-3)/r)/((-7)/28) + 19.
20
Let j(b) = 14*b + 124. Calculate the remainder when 4/(32/450) - 3/(-4) is divided by j(-8).
9
Suppose -7*k + 8 + 13 = 0. Suppose -d + 13 - 1 = -4*h, -3*d + 54 = -k*h. What is the remainder when 91 is divided by d?
11
Let r = 389 - 189. Let b = 209 - r. What is the remainder when 78 is divided by b?
6
Let w be 7 - (-13)/((-65)/15). Suppose -p + 4*b = -3*p + 34, -p + 7 = w*b. Calculate the remainder when p is divided by 17.
10
Let u be -7 - (0/4
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2*j**3 + 8*j**2.
4*j**2*(j + 2)
Let j be (14/(-32))/((-1)/4). Suppose 10 = -3*f + 2*d + 14, 0 = 3*f + 2*d - 8. Factor -1/2*h - j*h**3 + 0 - 9/4*h**f.
-h*(h + 1)*(7*h + 2)/4
Determine c, given that 3*c**4 + 5*c**4 - 24*c**3 + 7*c**4 - 27*c**2 + 12 + 24*c = 0.
-1, -2/5, 1, 2
Suppose -214*a + 205*a + 18 = 0. Determine y, given that 2/3*y**3 + 2*y + a*y**2 + 2/3 = 0.
-1
Factor -9/8*f**2 + 0 + 3/8*f + 9/8*f**3 - 3/8*f**4.
-3*f*(f - 1)**3/8
Let z(w) be the first derivative of -w**4/26 + 3*w**2/13 - 4*w/13 - 32. Solve z(h) = 0 for h.
-2, 1
Factor -4*b + 4 - 4*b + 2*b**2 + 2*b.
2*(b - 2)*(b - 1)
Let w = 10 + -15. Let c(o) = -o - 5. Let h be c(w). Determine u so that -2/9*u**2 + 0 + h*u - 2/9*u**3 = 0.
-1, 0
Suppose 10/3*o**2 + 5/3*o**3 + 5/3*o + 0 = 0. Calculate o.
-1, 0
Suppose -5*b - s + 53 = 0, 2*b = -6*s + 3*s + 29. Let g(l) = -l**2 + 9*l + 10. Let m be g(b). Suppose -1/3*a**2 + 2/3*a**3 + m - 1/3*a**4 + 0*a = 0. What is a?
0, 1
Suppose -3*t - 3*i - 14 = -5, 0 = -5*t + 5*i + 15. Factor 4*j**4 - 4*j**2 + t + 0*j**2 + 5*j - 8*j**3 + j**2 + 2.
(j - 2)*(j - 1)*(2*j + 1)**2
Let o = 223/78450 + 2/523. Let g(b) be the third derivative of 0*b**4 - 2*b**2 + 1/280*b**8 + 0*b - 1/75*b**7 + 0*b**3 - o*b**5 + 0 + 1/60*b**6. Factor g(x).
2*x**2*(x - 1)**2*(3*x - 1)/5
Let b be (-2)/(-6) - 35/(-21). Factor 0 + 11/4*r**b + 4*r**3 + 7/4*r**4 + 1/2*r.
r*(r + 1)**2*(7*r + 2)/4
Let s(t) be the first derivative of 7*t**4/48 + 3*t**3/8 + t**2/4 + 3*t + 3. Let u(a) be the first derivative of s(a). Solve u(r) = 0.
-1, -2/7
Let j = 3 + -6. Let q be ((-22)/(-3))/2 + j. Factor -8/3*f - q*f**2 - 8/3.
-2*(f + 2)**2/3
Let j(u) be the third derivative of u**6/60 + u**5/15 + u**4/12 - 13*u**2. Solve j(a) = 0 for a.
-1, 0
Let 13 - 3*g - 12 + 17 - 3*g**2 = 0. Calculate g.
-3, 2
Let v(j) be the second derivative of -1/6*j**3 + 3*j + 0*j**5 + 1/540*j**6 - 1/36*j**4 + 0*j**2 + 0. Let l(a) be the second derivative of v(a). Factor l(f).
2*(f - 1)*(f + 1)/3
Let j(h) = h**3 - h. Let v be j(-2). Let b be 2/3*(v - -9). Suppose -2*o**3 + 0*o**2 + 8*o**3 + 2*o**2 + 4*o**b + 2*o + 2*o**4 = 0. Calculate o.
-1, 0
Let q(t) be the second derivative of -7*t - 1/24*t**4 + 0 + 1/2*t**3 - 9/4*t**2. Factor q(p).
-(p - 3)**2/2
Factor 2*a**3 + 4*a**5 + 3*a**3 + 4*a**2 - 9*a**3 - 4*a**4.
4*a**2*(a - 1)**2*(a + 1)
Let j = 323/4 - 80. Let w(p) be the first derivative of -2 - 3/4*p**2 - 1/4*p**3 - j*p. Find y, given that w(y) = 0.
-1
Let b(x) = 4*x - 2. Let i be b(1). Suppose i*n**2 + 1/3 + 5/3*n - n**5 - 7/3*n**4 - 2/3*n**3 = 0. What is n?
-1, -1/3, 1
Suppose 0 = -j + 5*j - 16. Let o be 7 - (j + 1 + -1). Factor -o*p + 3/2 - 9/2*p**2.
-3*(p + 1)*(3*p - 1)/2
Let g(w) be the third derivative of w**5/40 + 5*w**4/48 + w**3/6 - 11*w**2. Factor g(z).
(z + 1)*(3*z + 2)/2
Let i(b) = -9*b**5 - 48*b**4 - 72*b**3 + 18*b**2 + 87*b + 27. Let j(f) = f**3 - f - 1. Let r(x) = -i(x) - 3*j(x). Factor r(p).
3*(p - 1)*(p + 2)**3*(3*p + 1)
Suppose -12 = -2*j - 8. Let c be j*2/(-30)*-3. Factor 0 + 0*l + c*l**2.
2*l**2/5
Let r(g) = g**4 - g**3 + g**2 + g + 2. Suppose 0*u = 2*u + 44. Let v(o) = -6*o**4 + 6*o**3 - 5*o**2 - 6*o - 11. Let a(i) = u*r(i) - 4*v(i). Factor a(q).
2*q*(q - 1)**2*(q + 1)
Let h = 21 - 18. Let b(x) be the third derivative of -1/840*x**8 - h*x**2 + 0*x**4 + 0 + 0*x**5 + 0*x + 0*x**3 + 0*x**6 - 1/525*x**7. Solve b(y) = 0 for y.
-1, 0
Suppose -t + 12 = 4*r, 4*r = 2*t - t + 12. Suppose r = 2*j - 3. Factor 2 + 3 + 3*o - 3*o**j - 3*o**2 - 2.
-3*(o - 1)*(o + 1)**2
Suppose 3*w = -w + 28. Let j = w + -3. Suppose -y + 2/3*y**2 + 1/3 - y**j + 2/3*y**3 + 1/3*y**5 = 0. What is y?
-1, 1
Let o = -129 + 132. Suppose -38/3*u**2 + 12*u**4 + 8/3 - 2*u**o + 0*u = 0. Calculate u.
-2/3, 1/2, 1
Let p(v) be the first derivative of -7 - 2/51*v**3 - 18/17*v - 6/17*v**2. Factor p(n).
-2*(n + 3)**2/17
Let o(t) be the third derivative of t**5/420 - 2*t**3/21 + 5*t**2 + 6. Solve o(u) = 0 for u.
-2, 2
Suppose 7*z - z**3 - 19*z + 13*z = 0. What is z?
-1, 0, 1
Let d be ((-4)/(-6))/((-6)/(-9)). Find x, given that -x - 3 + 4 - d + x**2 = 0.
0, 1
Suppose 0 + 16/3*y**2 + 8/3*y - 14/3*y**3 - 10/3*y**4 = 0. What is y?
-2, -2/5, 0, 1
Let p = -8 + 13. Determine i, given that p*i**3 + 0*i + 8*i**2 + 4*i + i**3 + i**4 - i**3 = 0.
-2, -1, 0
Let k(i) be the second derivative of i**7/735 - i**5/70 - i**4/42 + i**2 + 2*i. Let p(s) be the first derivative of k(s). Find l such that p(l) = 0.
-1, 0, 2
Let v(n) = -5*n**3 + 8*n**2 + 6. Let i(d) be the first derivative of -d**4 + 7*d**3/3 + 5*d - 4. Let b(q) = 6*i(q) - 5*v(q). Determine m, given that b(m) = 0.
-2, 0
Let a(x) = x**4 - 4*x**3 - x**2 + 4*x - 4. Let u(y) = -3*y**4 + 11*y**3 + 3*y**2 - 11*y + 11. Let q(z) = -11*a(z) - 4*u(z). Factor q(d).
d**2*(d - 1)*(d + 1)
Let k be (0 + -2)/(9/(-70)). Let i = -1522/99 + k. Find j, given that -2/11 - 8/11*j**3 - i*j**4 - 8/11*j - 12/11*j**2 = 0.
-1
Let y(g) = -g**5 + 6*g**4 + 9*g**3 - g**2 + 3. Let c(z) = z**5 - 12*z**4 - 17*z**3 + z**2 - 5. Let p(q) = 6*c(q) + 10*y(q). Factor p(t).
-4*t**2*(t + 1)**3
Let j = -19 + 30. Let -1 + 7*x**3 + j*x + 16*x**2 + 1 + 0 + 2 = 0. Calculate x.
-1, -2/7
Let a(f) be the third derivative of -f**7/490 + 3*f**6/70 - 27*f**5/70 + 27*f**4/14 - 81*f**3/14 + 11*f**2. Factor a(h).
-3*(h - 3)**4/7
Let a(c) = c**3 + c. Suppose -4*u - 1 = -3*u. Let b(z) = -6*z**3 - 5*z. Let g(l) = u*b(l) - 5*a(l). Factor g(v).
v**3
Let z(r) = 6 - 5*r + 4*r - 4*r + 4*r. Let n be z(6). Let n*d + 0 + 1/2*d**2 + 1/2*d**3 = 0. What is d?
-1, 0
Let b(f) be the first derivative of -f**4/8 - f**3/6 + f**2/4 + f/2 - 10. Determine s, given that b(s) = 0.
-1, 1
Let g(m) be the second derivative of -m**8/10080 + m**7/1260 - m**6/540 + m**4/6 + 7*m. Let h(r) be the third derivative of g(r). Find o, given that h(o) = 0.
0, 1, 2
Suppose w = -3*j - 0*w + 36, 3*w - 17 = -2*j. Let v(c) = -8*c**3 + 5*c**2 - 13*c. Let x(i) = 4*i**3 - 2*i**2 + 6*i. Let z(t) = j*x(t) + 6*v(t). Factor z(h).
4*h**2*(h + 1)
Let f(z) be the third derivative of -z**8/560 + 3*z**7/350 - z**6/100 + 23*z**2. Factor f(s).
-3*s**3*(s - 2)*(s - 1)/5
Find k such that 6*k + 3/2*k**2 + 6 = 0.
-2
Solve 14 + 13 - 6*b**2 + 18*b - 14*b**2 + 23*b**2 = 0 for b.
-3
Let q(w) be the first derivative of -w**8/336 + w**7/70 - w**6/40 + w**5/60 + 3*w**2 + 2. Let u(h) be the second derivative of q(h). Factor u(x).
-x**2*(x - 1)**3
Factor 5/6*d + 7/6*d**3 + 0 - 1/6*d**4 - 11/6*d**2.
-d*(d - 5)*(d - 1)**2/6
Suppose -7*s + 6*s - 4*b - 11 = 0, 2 = -2*s - 3*b. Factor -1/3*w**2 + 0*w + w**4 - 2/3*w**s + 0*w**3 + 0.
-w**2*(w - 1)**2*(2*w + 1)/3
Suppose -b + 6*b = 15. Let n be 4/20 + 9/30. Determine p so that 1/2*p - n*p**4 - 1/2*p**b + 1/2*p**2 + 0 = 0.
-1, 0, 1
Let w be 138/315 - 3/7. Let l(d) be the third derivative of 0*d - 1/15*d**5 + 1/30*d**6 + 0 - 1/168*d**8 - 1/12*d**4 + 1/3*d**3 + w*d**7 + d**2. Factor l(x).
-2*(x - 1)**3*(x + 1)**2
Let k(v) be the first derivative of -v**3/6 - 3*v**2/4 + 2*v + 9. Factor k(m).
-(m - 1)*(m + 4)/2
Let h(q) be the third derivative of -q**8/4200 + q**7/1050 - q**6/900 + q**3 - 5*q**2. Let v(z) be the first derivative of h(z). Factor v(w).
-2*w**2*(w - 1)**2/5
Suppose 9 = 3*j + 87. Let i = j - -28. Suppose 4/7*d**3 + 8/7 - 2*d**i + 8/7*d = 0. Calculate d.
-1/2, 2
Let b(t) = -5*t**4 + 20*t**3 - 96*t**2 + 252*t - 252. Let d(c) = -c**4 + c**3 - c + 1. Let g(f) = -3*b(f) + 12*d(f). Solve g(x) = 0.
4
Let g be ((-6)/66)/(6/100). Let f = g + 24/11. Factor 2/3*t**4 + f*t**3 - 2/3*t**2 + 0 - 2/3*t**5 + 0*t.
-2*t**2*(t - 1)**2*(t + 1)/3
Suppose 70*q**4 + 8 + 252*q**3 + 0*q**4 + 14*q**4 + 72*q + 218*q**2 + 14*q**4 = 0. What is q?
-1, -2/7
Suppose 3/4*i**2 + 3/2*i + 0 = 0. Calculate i.
-2, 0
Let y(u) = 2*u**3 + 37*u**2 + 16*u - 33. Let a be y(-18). Factor -3/2*f**a + 0*f + 1/2*f**4 + f**2 + 0.
f**2*(f - 2)*(f - 1)/2
Let r(h) be the first derivative of -h**6/3 + h**4 - h**2 + 5. Solve r(a) = 0.
-1, 0, 1
Let k(a) = 5*a**4 + 4*a**3 + a**2 + 2*a + 4. Let n(m) = -9*m**4 - 7*m**3 - m**2 - 3*m - 7. Let l(h) = 7*k(h) + 4*n(h). Find r such that l(r) = 0.
-1, 0, 2
Factor -10*t**3 + 12*t**4 + 16*t + 2*t**4 + 26*t - 50*t - 32*t**2.
2*t*(t - 2)*(t + 1)*(7*t + 2)
Let f(o) = o**3 - 13*o - 7 + 5*o + 5*o**3 - 9*o**2. Let m(g) = -5*g**3 + 8*g**2 + 7*g + 6. Let z(h) = 6*f(h) + 7*m(h). Solve z(q) = 0.
-1, 0
Let h(b)
|
{
"pile_set_name": "DM Mathematics"
}
|
common denominator of -102*(4/x)/(-28) and 75/(-2)*(-68)/935.
77
Let g = -148081/48 + 3083. Let p = 4973 - 49653/10. Calculate the common denominator of p and g.
240
Suppose x - 2*x + 71 = 5*l, 5*x + 50 = 2*l. Calculate the smallest common multiple of 15 and l.
15
Suppose -v = -94 - 48. Calculate the lowest common multiple of 20 and v.
1420
Let a(w) = w**3 - 5*w + 3. Let h be a(-4). Let u = -27 - h. Calculate the lowest common multiple of u and 6.
42
Suppose -n - 4*n = -50. Let p(g) = -g**2 + 9*g - 1. Let r be p(7). Let a = -7 + r. What is the smallest common multiple of a and n?
30
Calculate the common denominator of -47/27 and (2 + (-255)/216)*-2 - 0.
108
Let t(p) be the first derivative of -p**3/3 + 4*p**2 - 4*p + 1. Let k be t(7). Suppose -5*w = -k*w - 4. Calculate the lowest common multiple of w and 8.
8
Let s = 31621/8152 - 4/1019. Let u = 121856 + -1461281/12. Let g = 499/6 - u. Calculate the common denominator of s and g.
24
Let u(y) be the third derivative of y**5/60 - y**4/4 - 5*y**3/3 - y**2. What is the smallest common multiple of 8 and u(8)?
24
Let r(g) = -g**3 - 5*g**2 - 3*g - 5. What is the smallest common multiple of 50 and r(-5)?
50
Let f = -47125/8 - -5898. What is the common denominator of ((-4)/6)/((-40)/(-189)) and f?
40
Let c = 3745 - 29883/8. Let x be 79718/(-6)*6/(-28). Let u = x - 2844. Calculate the common denominator of c and u.
56
Let p = -2095/316 - -30/79. Find the common denominator of p and (1650/(-154))/(8/(-14)).
4
Suppose -7 = -5*k + 3. Calculate the least common multiple of k and ((-3)/3)/((-3)/12).
4
Let m = 3836050 + -421955973/110. Let r = m - 1066/11. Calculate the common denominator of r and -6/11.
110
Calculate the least common multiple of 2 and (42/(-15) + 2)*-10.
8
Suppose -5*u - 31 + 2 = -3*t, -3*u = t - 5. What is the smallest common multiple of t and 32?
32
Let t = 102845/22 - 4674. What is the common denominator of t and (-1)/6 - (-82)/(-120)?
220
Let n be 2/(-90)*1317/(-2). Let l = -43/3 + n. Calculate the common denominator of 47/20 and l.
20
Suppose -4070 = -5*j + 4*z - 864, z - 1285 = -2*j. Let i be (27/j)/(2/4). Let v = -5637/2140 + i. Find the common denominator of v and -43/20.
20
Let k(f) = -2*f**3 - f**2 + f + 2. Calculate the lowest common multiple of k(0) and 6.
6
Let w = 1326/5 + -268. What is the common denominator of w and -46/11?
55
Suppose -3*c - 5*d + 62 = 0, -c + 6*d - d = 6. What is the lowest common multiple of c and 16?
112
Let c(a) = -a**3 + 3*a**2 - 2*a - 1. Let h be c(3). Calculate the lowest common multiple of (h + -1)/(7 - 8) and 4.
8
Let d(l) = -l**3 - 11*l**2 - 13*l - 27. Calculate the smallest common multiple of d(-10) and 4.
12
Let p be (-1124)/14 + 4/14. What is the common denominator of 26/p*(-10)/(-4) and 17/6?
48
Suppose 33 + 51 = 4*b. Suppose 2*j = 5*j - b. What is the lowest common multiple of 3 and j?
21
Let m = 21 - 7. Let q = 34 - m. Calculate the least common multiple of q and 4.
20
Let c(f) = f - 3. What is the smallest common multiple of c(18) and 12?
60
What is the common denominator of 15/2 and 2/((-18)/(-75)*-3)?
18
Suppose 2*c - 23 = -3*y, -3*c + 2*y + 0*y = -28. Calculate the common denominator of (3 - 3) + c/(-16) and (-882)/40 - 5/25.
8
Let s = -1669 - -36783/22. Let f = 3005/2 + -1474. What is the common denominator of f and s?
22
Suppose -5*g = -v - 4*v - 25, -v = -5*g + 9. Calculate the lowest common multiple of g and (3 - 5)*(-3)/2.
3
Let a = -1 - 2. Let d be 7/3 + a/9. What is the common denominator of (-219)/(-18) + (-6)/d and -31/14?
42
Let y = 11929/5 + -394067/165. Find the common denominator of -50/9 and y.
99
Suppose 0 = b - 2*b + 4. Calculate the least common multiple of b and (1 + 1 - 3)/(4/(-32)).
8
Suppose 3*u - 6*u = -w - 25, 3*u + 3*w = 9. What is the smallest common multiple of u and 11?
77
Suppose 2*s = 4 + 4. Let k = -5 - -8. Calculate the smallest common multiple of s and (-1 + k)*(0 + 7).
28
Suppose -o = -2*a - 8 - 9, 0 = 5*o - 3*a - 92. Suppose 3*l - o + 1 = 0. What is the lowest common multiple of 22 and l?
66
Let p = -9 - -27. Calculate the lowest common multiple of 30 and p.
90
Calculate the common denominator of -125/6 and 178*(0 + (-4)/(-16)).
6
Let z = -14616 - -292221/20. Let v = -1/512 + 10497/512. Find the common denominator of v and z.
20
Calculate the common denominator of 145/96 and -2*(22 - 17)*(-19)/32.
96
Suppose -3*h + 4*h + 2 = 0. Let l be 0 - h - 0 - -3. Suppose l*o + j = -3*j + 27, 2*j = 3*o - 3. What is the smallest common multiple of 6 and o?
6
Let p be -22*(-9)/74 - 3. Let s = 953/370 - p. What is the common denominator of s and 34/3?
30
Suppose -g - 1 = 3. Let h(i) = -2*i. What is the smallest common multiple of h(g) and 3?
24
Let n = 119 - -16. Calculate the common denominator of (-274)/6*2/(-4) and 624/n + (-8)/36.
30
Calculate the common denominator of ((-726)/(-28))/(-11) + (1 - -2) and (3/18)/(10/333).
140
Let j = -2328873/58 - -40152. Calculate the common denominator of j and 101/14.
406
Let u(z) be the first derivative of -3 + 2/3*z**3 - 2*z - 2*z**2. Calculate the least common multiple of 10 and u(4).
70
Let o = 5085 - 45817/9. Calculate the common denominator of -23/11 and o.
99
What is the common denominator of 74/(-24)*(-6)/8 and (-84)/(-16)*(-7)/(-6)?
16
Let d be (-4)/14 - 124/7. Let k be (-10815)/d + 2/3. Let o = k + -1735/3. What is the common denominator of 13/14 and o?
42
Suppose 2*t + 2*t - 24 = 0. Let h = -2 - -10. Calculate the least common multiple of h and t.
24
Suppose -2*x + 0*x + 40 = 0. Calculate the lowest common multiple of 11 and x.
220
Let u = 20 + -17. What is the least common multiple of u and 8?
24
Suppose -4*j + a + 33 + 2 = 0, j - 2*a = 7. Let q(d) = -3*d - 8. Calculate the lowest common multiple of j and q(-6).
90
Let x = 14973/20 + -748. Calculate the common denominator of -121/10 and x.
20
Let t = -4 + 6. Calculate the lowest common multiple of t and 7.
14
Find the common denominator of 2/9 and (-2)/(-5) + (-66)/10.
45
Calculate the least common multiple of 20 and 54/4*(-20)/(-15).
180
Calculate the smallest common multiple of 9 and 4/(-10) + (-37)/(-5).
63
Let b(m) = -m**2 + 4*m + 5. Let r be b(5). Suppose r = 2*a - 4*n - 6, -5*n - 17 = 5*a - 2. What is the smallest common multiple of 2 and 0/5 + (-8)/a?
8
What is the common denominator of ((-33)/10)/(72/136) and -1/27?
270
Let t(j) = j**3 - 11*j**2 + 3. Let c be t(11). Suppose c*k - 13 = 11. What is the smallest common multiple of 2 and k?
8
Let w = 14/307 - 27435/2456. Calculate the common denominator of 59/7 and w.
56
Let f be (6 - 0) + 8/(-4). Let x = -4 + 7. Suppose -z + f = -x*b + 2, -z = b - 18. Calculate the smallest common multiple of 22 and z.
154
Let k be (-2398*1)/(4/(-10)). Let d = k + -35881/6. Calculate the common denominator of ((-1)/4)/((-6)/(-804)) and d.
6
Calculate the common denominator of -13/2 and ((-22)/16)/((-1)/(-3)).
8
Let q be 3/(-1 - 932/(-2659)). Let d = q + -17/157. What is the common denominator of (-32)/(-144) - (-322)/90 and d?
55
Let g(s) = s**2 - 4*s + 5. Let l = 13 - 8. What is the least common multiple of l and g(5)?
10
Suppose 5*d + 4*t - 56 = 5*t, -d = 4*t - 28. Find the common denominator of (-1442)/396 - d/54 and 123/20.
220
Let c(f) = 2*f + 3. Let m be c(-4). Let k(a) = -2*a - 7. Suppose w - 9 = -2*p, -w + 9*p + 9 = 8*p. What is the smallest common multiple of k(m) and w?
9
Let r(k) = -k**2 - 9*k - 4. Let v be r(-5). Let b = 2/6909 - 476729/27636. Calculate the common denominator of b and -1 - -1 - (1 - v).
4
Let d = -69793/14 + 4982. Find the common denominator of d and -29/20.
140
What is the lowest common multiple of (-3 + 1 + 0)*-2 and (3/(-6))/((-2)/28)?
28
Let w be 1/85*(-3998)/(-6). Let n = 100/51 + w. Find the common denominator of 99/2 and n.
10
Suppose 4*y = -2*f + 8, -y = 3*f + 1 - 18. Find the common denominator of f/8 + -2 - 0 and (-205)/42 - 4/(-6).
28
Let a = -232973/50100 + 2/12525. What is the common denominator of 3 - 1/((-20)/53) and a?
20
Let l(o) = 21*o**2 + o. Let h be l(-1). Suppose 3*d - d - 60 = 5*w, 2*d - h = -5*w. Calculate the lowest common multiple of 16 and d.
80
Find the common denominator of -89/6 and 1 - (-2 + 502/144).
72
Suppose 0 = -d + 5 + 1. Suppose -3*j + 47 = 17. What is the smallest common multiple of j and (-8)/d*(-3)/2?
10
Su
|
{
"pile_set_name": "DM Mathematics"
}
|
*g, 5*a + 20 = -v*g for g.
-7
Let w(t) = t**2 - 30*t + 108. Let r(k) = -2*k**2 + 57*k - 218. Let v(q) = 2*r(q) + 5*w(q). Let z be v(33). Solve 5*x = -5*s - 50, -19 = z*s + 6 for x.
-5
Let k(t) = -t**2 - 29*t - 208. Let o be k(-13). Suppose o = 23*x + 7*x. Solve x = -5*b + 4*q - 23, 2*b - q + 3 = -5 for b.
-3
Suppose -693 = -14*l + 7*l. Let n = -92 + l. Solve 2*f = 3*r - 0*f + 1, -r - 3*f + n = 0 for r.
1
Let n(k) = 8*k**2 + 26*k + 23. Let c be n(-2). Solve -5*j = -4*q - 29, 187*j = 184*j - c*q + 12 for j.
5
Suppose 0 = 15*u + 6 - 36. Suppose -u*b - 20 + 28 = 0. Let r = 2 + 12. Solve 24 = -5*a + b*w - 2, 4*w - r = -a for a.
-2
Let q = -3965 + 3969. Solve 0 = h, -2*i - h = -q*i + 2 for i.
1
Let o(i) = i**3 + 3*i**2 - 11*i. Let r be ((-10)/(-14))/(4/(-28)). Let x be o(r). Solve -22 = 5*b + 2*h, -3*h = 2*h + x for b.
-4
Suppose -101*s + 74*s = -135. Solve s*f - 38*l + 35*l = -17, -3*f + 4*l = 8 for f.
-4
Let d be -28 - 478/(-17) - 98/(-34). Solve 23*w - 34 = d*p + 18*w, -2*p - 5*w + 19 = 0 for p.
-3
Let o be 75/30*(-18)/(-5). Let f be (-126)/(-27) - 6/o. Solve -11 = -3*p + 2*q, -f*p + 0*q - q = -11 for p.
3
Suppose -17685*z + 17682*z = -261. Solve 0 = 3*i + 88*j - z*j - 1, 2*j = 2*i + 10 for i.
-1
Let z(i) = -3*i + 16. Suppose -32*y = -28*y - 20. Let u be z(y). Suppose 0 = -9*h - u + 1. Solve -2*a = 2*t + 10, t + 3*a + 5 = -h*a for t.
-5
Suppose 38*f - 36*f + 68 = 2*d, 3*d = 2*f + 101. Solve 26 = 5*y + 3*x, d*y - 29*y - 26 = -5*x for y.
4
Suppose 0 = 21*z - 13*z - 152. Suppose -z = -2*k - 3*h, -3*k - 35 = -8*k - 5*h. Suppose -j = -2*j + 10. Solve i = -4*a - 0*a + 20, -i + k*a = j for i.
0
Suppose -2*k - z + 8 = 0, 3*z = k + 5*z - 4. Suppose 55 = 7*c + k*c. Solve c*o - 3*v - 10 = 0, -5*v + 3 = -o + 5 for o.
2
Suppose 4*g = g + 15, -5*g = 3*z - 112. Suppose -6*c + z + 19 = 0. Solve 0*x - 4*x = 5*k - 10, x + c = 4*k for x.
0
Let o(n) = 56*n - 1063. Let g be o(19). Solve g = w - 4, 30 = -5*z + 3*w for z.
-3
Let i be ((-20)/32*-2)/(((-51)/68)/(-3)). Solve -3*q - 13 = 4*l, 2*q + 0*l = -i*l - 11 for q.
-3
Let g(c) = -11*c**2 + 214*c - 92. Let p be g(19). Solve 0 = -2*z + 5*q + 13, -4*z - 1 = -p*q - 6 for z.
-1
Let n(t) = t**3 - 4*t**2 + 14*t - 7. Let h be n(5). Suppose 2*w = -84 + h. Let a be 2/(-2 - (-10)/4). Solve -a*i - 2*f + 30 = 0, w*f - 20 = -i - i for i.
5
Suppose 49*i - 53*i - 2*q + 10 = 0, -q = -i + 10. Solve 7 = 2*x - i*y, -10*x = -6*x - y + 13 for x.
-4
Let h = -16 - -377. Suppose 3*j - 136 + h = 0. Let g = 77 + j. Solve 2*q - g*t + 12 = -7*t, -5*q + t = -24 for q.
4
Suppose 31*s + 4*s = 350. Solve -s = 4*l + 2*n, -3*l = -n - n - 10 for l.
0
Let h(l) be the first derivative of l**3/3 - 9*l**2 + 5*l + 102. Let m be h(18). Solve -4*o + 1 = m*c, c = -c + o - 10 for c.
-3
Suppose -28*j + 1088 = 180*j + 48. Solve -j*k - 13 = -4*f - 12, f - 1 = 2*k for f.
-1
Let h be 10 + (8 - (-70)/(-1 - 6)). Solve 3*n - 9 = 0, -5*n = 2*x - h*n + 15 for x.
-3
Let k be (1*0/((-12)/(-6)))/(1/1). Solve 4*w + 3*m + 2 - 16 = k, -4*w = -4*m for w.
2
Let i be (5 - 6) + 1*-33. Let f = i - -43. Let g be 4/(-6) + (240/f)/4. Solve -3*y - t = 2 + g, 0 = y + 3*t + 8 for y.
-2
Let b(u) = -u**3 + 17*u**2 - 76*u + 52. Let k be b(7). Solve 8 = 4*j, 5*j = -p - 3*p - k for p.
-5
Let h be (117/21 + -7)/(2/(-7)). Let o(v) = v**3 - 5*v**2 + 2*v - 5. Let f be o(h). Solve 2 = -4*a - 2, 5*d - 10 = -f*a for d.
3
Suppose 276 = 45*x + 47*x. Solve -3*b = -3*a + 3, 2*a + 2*b + 2 = -x*a for a.
0
Let t = 15 + -1. Suppose -13*i = -t*i + 7. Suppose -3*u = -p - 10, 0 = -4*u + 23 - i. Solve -3*x - 10 = 4*a, -2*a = -p*x + 3*a + 24 for x.
2
Let l = -2357 + 2366. Solve -33 + l = -3*o + 4*k, 0 = 5*o + 5*k - 5 for o.
4
Suppose 3*b = 2*m, 4*b = 3*b + 5*m. Let t = 35 - 12. Suppose 0*d - 5*v - t = -3*d, 2*d - 20 = v. Solve -4*q + d = -q + w, q - w - 5 = b for q.
4
Let b(x) = -605*x + 5448. Let u be b(9). Solve 560*c - 5*w = 561*c + u, 2*c + w - 3 = 0 for c.
2
Let m = 7185 - 7182. Solve -m*i = -5*r - 3 + 2, -3*i = 2*r - 8 for r.
1
Let m be 4 - ((-77)/(-11) + -6). Solve m*j = 3*c, -3*j + j - 1 = -3*c for j.
1
Let f(z) = -z**3 - 43*z**2 + 138*z + 4. Let o be f(-46). Solve 0 = -l - 2*g - 11, 1 = -3*l + g - o for l.
-3
Let r be (-36)/63 + (-2 - (-18)/7). Suppose u + c + 3 = r, 2*c + 11 - 5 = 0. Solve u = -b + m - 8, 18 + 13 = -5*b + 2*m for b.
-5
Suppose 5*f + 3 = 6*f. Suppose 0 = 3*t - 6 - f. Suppose 50*u - 33 = 39*u. Solve q + 12 = t*g, 2*g + 4 = -2*q + u*g for q.
0
Let c(a) = -4*a - 38. Let q be c(-18). Let d = q + -26. Suppose 0 = -d*p + 27 + 5. Solve -4*g + p = f, -3*g + 0 = -2*f - 3 for f.
0
Let s(c) = -2140*c + 4309. Let d be s(2). Solve 5*n + 13 = d*j - 30*j, 3*n + 21 = -5*j for n.
-2
Let w(p) = -30*p - 16. Let v be w(-3). Let y = v - 74. Let i be (y - -4) + 1 + 0. Solve -i*q + 4*q = 4*z - 25, 2*q = -3*z + 25 for q.
5
Suppose -3*d - 63*z = -64*z - 32, -3*z + 72 = 5*d. Solve -4*p + 8 = -2*t, -t + d - 16 = -p for p.
0
Let f be (-6)/(-15) + 54/15 - 1. Suppose -18*b + 17*b - 3*q = -18, f*q = 12. Solve 3*l - b*t + 2*t = -19, 3*t - 15 = 3*l for l.
-1
Let f(g) be the third derivative of g**6/120 - 13*g**5/60 + g**4/12 - 25*g**3/6 - 2*g**2 - 42*g. Let s be f(13). Solve s = -5*n + j, 7*n + 2*j + 13 = 2*n for n.
-1
Suppose -2*q + 6*q = -2*m + 84, -4*q + 3*m + 64 = 0. Solve -7 = 4*p - 2*z + q, -5 = -2*p - 5*z for p.
-5
Suppose -19*c - 32 + 184 = 0. Let o(k) = -k**3 + 5*k**2 + 26*k - 12. Let t be o(c). Solve 5*x - 1 = -4*h, -t*x + 5 = 2*h + 3 for h.
-1
Let v = -58 + 59. Let g be 5*v + (-6)/3*1. Suppose -5*a - 45 = -165. Solve g*q + 8*u = 5*u - 27, -4*q - u - a = 0 for q.
-5
Suppose 0 = 2*w + 5*m - 20, -9*w = -2*w + 5*m - 20. Solve -5*r - 15 = w, -5*r - 15 = 3*p - 2*r for p.
-2
Let y = -175 - -212. Suppose -y*n = -40*n + 9. Solve n*z + 6 = 3*w, 0 = -w + 2*w - 3 for z.
1
Suppose 5*v = s + 29 - 0, 0 = -v + 2*s + 4. Let o = -131 + 136. Suppose 33 - 38 = -o*r. Solve -3*a + 4*u + v = -a, -u = -r for a.
5
Suppose 5540 - 983 = 49*r. Solve -2*j = -3*q - 2, 3*q + 98 = 5*j + r for q.
0
Let g = -19027 - -19229. Solve -3*y = -q + 5, -3*q + 2*y + g - 208 = 0 for q.
-4
Let i = 17 - 27. Let p(t) = t**2 + 11*t + 10. Let j be p(i). Solve -3*s - 4*h + j*h = -14, 5*h = -2*s + 14 for s.
2
Let w(v) = 3*v + 45. Suppose 3*p = 7*p - 16. Suppose -10 = 6*a - a, 0 = -p*j - 4*a - 64. Let c be w(j). Solve c*t - b - b + 4 = 0, -b - 1 = 0 for t.
-2
Let s be (-2)/(-26) - (-3780)/(-130). Let d = s + 32. Solve -4 = 3*j + c, d = -3*j - 3*c - 3 for j.
-1
Suppose -2*t - 6 = 0, 2*q + t - 324 = -t. Suppose q*j - 157*j = 40. Solve a = -n + 7, -j*a + 8 = 2*n - 15 for n.
4
Let t(h) = 2*h + 6. Let f be t(-3). Suppose 0 = -3*j - n + 2*n - 32, -5*n + 10 = f. Let o be 4/(-3)*15/j. Solve 0 = 4*l - x + 23, l + x + 0 + o = 0 for l.
-5
Suppose -2408*r = -2457*r. Solve 5*z + 2*h - 2 = r, h + 31 - 17 = 5*z for z.
2
Let o(j) = 5*j - 3. Suppose 0 = k - z + 4, -5*k + 20 = 5*z - 2*z. Let m be o(k). Suppose 0*y - 4*y = -0*y. Solve y = -m*p - s + 4, -4*s = -4*p - 4 for p.
1
Let l(n) be the first derivative of 3*n**3 + 2*n - 1/2*n**2 + 13. Let f be l(1). Solve -1 + 5 = -2*i - 5*r, -5*r - f = 0 for i.
3
Suppose -27*a = 2*a - 29. Solve 2*f - 4 = -q, a = -5*f + q - 10 for f.
-1
Let v be (-7)/(-2) + ((-66)/44 - 0). Solve -v*w - 3*o = 7, 87 = o + 88 for w.
-2
Suppose -11*t - 18*t - 14*t + 0*t = 0. Solve -g + 4 - 6 = -2*k, t = -2*k + 2*g for k.
2
Let g(c) = 5*c + 160. Let o be g(-31). Solve 0 = -3*u - 2*b - 9, 5*u + b = o - 27 for u.
-5
Let m(g) = -g**3 - 22*g**2 + 19*g - 80. Let n be m(-23). Suppose -40*l + 37*l + n = 0. Solve -l*f - 5*v = 27, 4*f - v = -0 - 9 for f.
-3
Let d = -8216 - -8218. Solve -4*p - 2*c - d = 0, -p + 10*c + 4 = 6*c for p.
0
Let k(p) = p**3 + 14*p**2 + 25*p + 17. Let f be k(-12). Solve 6*z - z - f*w + 15 = 0, -4*z = 5*w + 30 for z.
-5
Let s(t) = -76 + 19*t - t - 31. Let p be s(6). Solve -21 = -4*q + 5*u, -2*q = -u - 4 + p for q.
-1
Suppose 0 = -h - 5*w + 20, 5*w - 16 - 9 = -2*h. Suppose m - 19 = 5*o, -3*o = h*m - 5*o - 72. Solve -2*y + m = -6*n + n, -2*y = 2*n for y.
2
Let a be 18/99 - ((-53)/11)/1. Solve -d - 14 = a*w, 16*w - 11*w = -10 for d.
-4
Suppose -271*i + 251*i + 120 = 0. Solve 3*u + 3*m - 21 = 0, -20 = -2*u + m - i*m for u.
5
Let h(j) = -j**2 - 11*j + 134. Let c be h(-18). Suppose 2 + c = 5*y. Solve -y*t + 4*m = -t - 11, 2*m - 2 = 2*t for t.
-5
|
{
"pile_set_name": "DM Mathematics"
}
|
prob of sequence xff?
1/170
Calculate prob of sequence jl when two letters picked without replacement from {j: 2, l: 3}.
3/10
Three letters picked without replacement from {v: 1, n: 1, c: 1, i: 2}. Give prob of sequence nvi.
1/30
Two letters picked without replacement from {b: 1, x: 13, p: 3}. What is prob of sequence pp?
3/136
Two letters picked without replacement from {x: 5, f: 1, v: 3}. What is prob of sequence vx?
5/24
Four letters picked without replacement from arrssigh. Give prob of sequence agar.
0
Three letters picked without replacement from afannfanfnnfnffanfa. What is prob of sequence faf?
35/969
Four letters picked without replacement from pdpdppppppdpddpdppp. What is prob of sequence dpdp?
65/1292
Calculate prob of sequence ti when two letters picked without replacement from ttiiitiiitti.
35/132
Two letters picked without replacement from ddrram. Give prob of sequence rd.
2/15
Three letters picked without replacement from xlxlllxxxxlxl. What is prob of sequence lxx?
21/143
Two letters picked without replacement from tvljjttthalvajtjaat. What is prob of sequence lv?
2/171
Two letters picked without replacement from eeieeeseeeeeeeses. What is prob of sequence is?
3/272
What is prob of sequence bhd when three letters picked without replacement from dbhhbnld?
1/42
Three letters picked without replacement from {l: 1, z: 9, h: 6, x: 1}. Give prob of sequence xhz.
9/680
What is prob of sequence oxo when three letters picked without replacement from {x: 9, o: 11}?
11/76
Two letters picked without replacement from {y: 2, h: 2, d: 3, e: 1, l: 4, j: 2}. What is prob of sequence ye?
1/91
Three letters picked without replacement from {i: 5, q: 3, b: 2, r: 3}. Give prob of sequence iri.
5/143
Two letters picked without replacement from zznnzzzzzzz. What is prob of sequence nn?
1/55
Two letters picked without replacement from {l: 5, j: 1, x: 6, f: 4}. What is prob of sequence ff?
1/20
Two letters picked without replacement from {b: 2, f: 2, s: 1}. What is prob of sequence ff?
1/10
What is prob of sequence mmmm when four letters picked without replacement from {m: 8, j: 3}?
7/33
Three letters picked without replacement from {e: 6, c: 3, v: 5, h: 2, t: 1, p: 2}. Give prob of sequence pep.
2/969
Calculate prob of sequence urr when three letters picked without replacement from {r: 9, u: 4, l: 1}.
12/91
Two letters picked without replacement from {n: 1, e: 2, l: 8, j: 4, x: 2, p: 2}. What is prob of sequence xe?
2/171
Two letters picked without replacement from ykkkyktkyvyy. What is prob of sequence kv?
5/132
Four letters picked without replacement from nnnnlgggllnnn. What is prob of sequence lngl?
21/2860
Three letters picked without replacement from {l: 7, o: 2, w: 4, r: 1}. What is prob of sequence lol?
1/26
What is prob of sequence ap when two letters picked without replacement from ryiararairarprra?
1/48
What is prob of sequence byb when three letters picked without replacement from yyovykynobbknvky?
1/336
What is prob of sequence kz when two letters picked without replacement from zkbgd?
1/20
Two letters picked without replacement from {m: 2, l: 1, x: 1, f: 1}. What is prob of sequence lf?
1/20
Three letters picked without replacement from vvmvmmmmmmmmmmm. What is prob of sequence mmm?
44/91
Calculate prob of sequence ejez when four letters picked without replacement from {e: 11, i: 1, z: 3, j: 5}.
55/3876
Two letters picked without replacement from yyffynnynsfyf. Give prob of sequence sy.
5/156
Two letters picked without replacement from jjnaravvanrjvrvnj. Give prob of sequence vj.
1/17
What is prob of sequence uuuj when four letters picked without replacement from lyuuuuuljlll?
1/198
Three letters picked without replacement from {g: 3, z: 1, q: 2, c: 1, i: 4}. What is prob of sequence gic?
2/165
What is prob of sequence pp when two letters picked without replacement from pppp?
1
Calculate prob of sequence ss when two letters picked without replacement from {y: 1, p: 2, w: 1, s: 4, r: 2, q: 2}.
1/11
Calculate prob of sequence kbr when three letters picked without replacement from bbbkjkljlbrjll.
1/273
Four letters picked without replacement from vccvlvc. Give prob of sequence cvvv.
3/140
Calculate prob of sequence bx when two letters picked without replacement from bxbbxbbxxhs.
2/11
Four letters picked without replacement from {q: 5, g: 2, w: 2, f: 3, d: 1, t: 6}. What is prob of sequence dgfw?
1/7752
Two letters picked without replacement from {y: 3, t: 3, h: 5, f: 6}. What is prob of sequence th?
15/272
Three letters picked without replacement from uuutt. Give prob of sequence utu.
1/5
Calculate prob of sequence ww when two letters picked without replacement from wiwwrwiriwriiir.
2/21
What is prob of sequence as when two letters picked without replacement from spksa?
1/10
Calculate prob of sequence feet when four letters picked without replacement from eeefpetf.
1/70
Three letters picked without replacement from {t: 2, s: 3, g: 2, e: 3, p: 3}. What is prob of sequence ess?
3/286
What is prob of sequence ooql when four letters picked without replacement from jlomjjq?
0
Calculate prob of sequence jmmm when four letters picked without replacement from {j: 1, m: 11}.
1/12
What is prob of sequence vlvl when four letters picked without replacement from {v: 6, l: 11, b: 1}?
55/1224
Two letters picked without replacement from uzrsrrsrzsu. Give prob of sequence uz.
2/55
Three letters picked without replacement from {k: 4, c: 2, f: 2, q: 1}. What is prob of sequence fcf?
1/126
Calculate prob of sequence dgd when three letters picked without replacement from {g: 4, d: 14}.
91/612
Calculate prob of sequence xm when two letters picked without replacement from ecccceccbecbxcccme.
1/306
Calculate prob of sequence ko when two letters picked without replacement from ookoelkkkyoelk.
10/91
What is prob of sequence ks when two letters picked without replacement from xgixekes?
1/56
What is prob of sequence vmmv when four letters picked without replacement from vvmvvvmvvm?
1/20
Three letters picked without replacement from {u: 1, x: 4, d: 1, o: 1, h: 6}. Give prob of sequence oxh.
2/143
Three letters picked without replacement from {f: 1, p: 1, x: 3}. Give prob of sequence fxx.
1/10
Four letters picked without replacement from {i: 2, u: 1, r: 3, e: 1, n: 11}. Give prob of sequence iiru.
1/12240
Two letters picked without replacement from {y: 5, a: 2, j: 7, b: 1, w: 3, h: 2}. Give prob of sequence hh.
1/190
Four letters picked without replacement from {r: 4, z: 3, g: 1, y: 2, n: 4}. What is prob of sequence znrr?
6/1001
Calculate prob of sequence ll when two letters picked without replacement from {m: 9, h: 1, l: 7, f: 2}.
7/57
Two letters picked without replacement from szjjs. What is prob of sequence jz?
1/10
Two letters picked without replacement from {s: 5, p: 1, a: 5}. Give prob of sequence sp.
1/22
Four letters picked without replacement from {c: 1, p: 5, y: 1, w: 4}. Give prob of sequence pcww.
1/132
Two letters picked without replacement from {m: 3, z: 4, c: 2, a: 1, i: 9}. What is prob of sequence ci?
1/19
What is prob of sequence kmu when three letters picked without replacement from wwsmukswwsupspsss?
1/2040
Four letters picked without replacement from {i: 2, c: 5, e: 2}. Give prob of sequence ecce.
5/378
Three letters picked without replacement from {h: 1, q: 1, z: 2, j: 2, m: 2, d: 1}. What is prob of sequence hdm?
1/252
Three letters picked without replacement from wwwkwbyykbxkwkyy. What is prob of sequence kkk?
1/140
Calculate prob of sequence zgo when three letters picked without replacement from {g: 1, z: 12, o: 1}.
1/182
Calculate prob of sequence exxc when four letters picked without replacement from {c: 14, x: 3, h: 1, e: 1, l: 1}.
7/9690
Two letters picked without replacement from {a: 1, t: 1, u: 7, f: 2, p: 9}. Give prob of sequence aa.
0
Two letters picked without replacement from qxvvpwz. What is prob of sequence xp?
1/42
Four letters picked without replacement from {h: 4, y: 3, p: 1, b: 2}. What is prob of sequence pbyh?
1/210
Two letters picked without replacement from {i: 1, q: 2, r: 1, c: 5}. What is prob of sequence rq?
1/36
Four letters picked without replacement from {n: 2, d: 2, c: 1, a: 1}. What is prob of sequence dcan?
1/
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the hundreds digit of m?
7
Suppose -5*z - 2172 = -4*s - z, -2*z - 2182 = -4*s. What is the tens digit of s?
4
Let g(k) = 2*k - 2 - k**2 - 4*k + k + 4. Let v be g(-5). What is the units digit of v/(-3) - 2 - -28?
2
Suppose -2*k + 1929 = -3*n, -4*n = -k - 154 + 1116. What is the units digit of k?
6
Suppose 7 = 4*o - 0*y + y, -2*o - 2*y = -8. What is the units digit of (-1*o)/(9/(-117))?
3
Let o(k) = -4*k**2 - 32*k - 30. Let u be o(-7). Let p(g) = 3*g - 6*g - 2*g. What is the units digit of p(u)?
0
Suppose -136 = b + 3*b. Let i = b + 47. Suppose -a + 4*z = 1 - i, 0 = -3*a + 5*z + 71. What is the units digit of a?
2
Let k(o) = 2*o**2 + 96*o + 100. What is the hundreds digit of k(-53)?
6
What is the thousands digit of (-23)/((-92)/(-5160))*(-16)/20?
1
Let p = -147 + 97. Let g = 95 + p. What is the units digit of g?
5
What is the units digit of 42/(-7) + -3 + 2364 - 4?
1
Suppose 5*s - 3*k - 46 = 0, 2*s - 13 = -3*k + 18. Let z = s - 19. Let u = 13 + z. What is the units digit of u?
5
Suppose -3*l + 17397 = 3*d, -7*d - l - 23211 = -11*d. What is the hundreds digit of d?
8
Suppose 20*k = 53108 + 18052. What is the units digit of k?
8
Suppose -2*f - 5*a + 7 + 8 = 0, f + 2*a - 7 = 0. Suppose -f*i - 53 = -3*d, 4*i - 3 = -7. What is the tens digit of (-8)/d + (-101)/(-2)?
5
Let g(p) = p**3 - 3*p**2 - 5*p + 6. Let z be g(4). Suppose -2*w - z = -6. Suppose 0*o + 110 = 2*s - 5*o, -o - w = 0. What is the tens digit of s?
5
Suppose -6*y + 33 = -81. Let z = 19 - y. What is the tens digit of z/(-4 - -3) - -44?
4
Let r be (6*584/6)/2. Let o = r + -160. What is the units digit of o?
2
Let d(h) = -5*h**3 - 3*h**2 + 4*h + 5. Let s be d(-4). Suppose s - 66 = -3*t. Let n = -46 - t. What is the tens digit of n?
1
Suppose 3*f + 20 = -f. Let q(n) = -14*n - 2. Let t be q(f). Let c = t - 43. What is the tens digit of c?
2
Let p(f) = 15*f**3 - 6*f**2 + f + 1. What is the tens digit of p(3)?
5
Let k(p) = 7*p**2 + 9*p + 15. What is the hundreds digit of k(-11)?
7
Let h be 11 + (-8)/(-3 + 1). Suppose 2*g - h = 39. What is the tens digit of g?
2
Let l be 165 + 2 + 0 + -18 + 21. Let c = -20 + l. What is the hundreds digit of c?
1
Let u(f) = 3*f - 17. Let i be u(7). Suppose -5*z + 9 = 2*j - 19, -i*j + 4*z = -84. What is the tens digit of j?
1
Let i be 4 + 3/(9/6). Let t(f) = i*f - 3*f + f - f - 12. What is the units digit of t(12)?
4
Suppose 0*h - 48 = 4*h. Let g be (h/3)/((-8)/(-12)). Let j(a) = a**2 + 2*a + 12. What is the units digit of j(g)?
6
What is the tens digit of 223*(-2)/(-18)*-3*-3?
2
Let y(h) = -h**2 + 9*h + 19. Let p be y(10). Let u = 32 - p. What is the tens digit of u?
2
Let j(h) = -h + 3. Let o be j(-3). Let l(v) be the third derivative of -v**6/120 + v**5/12 + v**4/4 + v**3/6 + 683*v**2. What is the units digit of l(o)?
1
Suppose -4*c + 70 = -106. What is the units digit of (-8 - 4/(-1)) + c?
0
Let t(a) = 2*a**2 - 53*a + 17. Suppose -2*c - 142 = -5*o, 0*c = -5*o + 5*c + 145. What is the hundreds digit of t(o)?
1
Suppose 29*u - 27*u = 4766. What is the units digit of u?
3
Let d(w) = 5*w - 12. Let n be d(5). Let c = n - 14. What is the tens digit of (c - -66)*(-6)/(-15)?
2
Let o = -1718 - -629. What is the tens digit of (-1 + 3)*o/(-22)?
9
Suppose 3*m - 22 = -a, -5*a + 3*m + 7 = -31. Let n(u) be the third derivative of -u**4/24 + 17*u**3/6 + 2*u**2. What is the units digit of n(a)?
7
Suppose 2*k + 0*k = 10, -2*r + 5*k = -727. What is the tens digit of r?
7
Suppose 0 = -3*b - 5*s + 44, -2*s + 50 = 2*b + b. Let m be 10/(-45) + 148/b. What is the units digit of 616/70 - m/10?
8
Suppose 2560 + 1169 = 11*g. What is the tens digit of g?
3
Let c(q) = q**3 - 4*q**2 - 5*q + 3. Let z be c(5). Suppose z*j + 4*v = 2*v + 56, -5*j - 3*v = -93. What is the units digit of j?
8
What is the thousands digit of -2*2*(-106155)/140?
3
Suppose 3*t + 270 = 3*w, 17 = -3*t + 2. Let y = 203 - w. What is the hundreds digit of y?
1
Suppose 0 = 4*f + 3*c - 2, -3*f = -7*f - 4*c. Suppose 0 = -0*x + f*x - 10. Suppose -x*l + 0*l = -15. What is the units digit of l?
3
Let z be (51/9)/((-3)/(-9)). Let t = z - 13. Suppose t*g + 32 - 140 = 0. What is the units digit of g?
7
Let p = 2149 + -824. What is the thousands digit of p?
1
Suppose 3*j - 15 = -2*j. Suppose 19 = w + d - 4, 125 = 5*w + j*d. What is the tens digit of (1 - w)*2/(-3)?
1
Let a be (0 - (434 - -2))*1/(-2). Suppose 6*l + 44 = a. What is the units digit of l?
9
What is the units digit of 22170/(-30)*(0 - 2 - -1)?
9
Let x be -3 + 80/5*-2. Let o = -42 - x. What is the tens digit of ((-58)/(-4))/(o/(-14))?
2
Let q be 6/27 + (-328)/18. Let r = -12 - q. What is the tens digit of (-6)/(((-9)/r)/3)?
1
Let l be -52 - -51 - 3/(6/8). What is the units digit of (l + 1062/12)/((-2)/(-4))?
7
Let y = 2031 + -158. What is the units digit of y?
3
Let d(y) = 3*y**2 + 2*y - 4. Let k be d(2). Let x = k - 7. What is the units digit of -3 - x/((-10)/98)?
6
Let n be (1/4*-5)/(1/(-84)). Suppose 0 = g, n = t - 3*g - 157. What is the hundreds digit of t?
2
Suppose 2223 = g + 2*r, -4*g + 2*r + 8862 = -0*r. What is the thousands digit of g?
2
Suppose -12 = 15*z - 18*z. Suppose -3*f = -2*m + 222, 3*m = z*f + 271 + 63. Suppose 0*b = -3*b + m. What is the units digit of b?
8
Let v be -5*(1 - 148/(-20)). Let z = v + 43. What is the units digit of z?
1
Let u(p) = 317*p**2 + 9*p + 3. What is the units digit of u(-2)?
3
Let i(k) = 2*k + 4. Let n(s) = s**2 - 9*s. Let d be n(11). Suppose -4*b = -g - 14, 5*g + 2*b - d = -b. What is the units digit of i(g)?
8
Let k(n) = -788*n - 752. What is the tens digit of k(-6)?
7
Let b be -15*((-16)/(-20) + 0). What is the units digit of 21/6*b/(-7)?
6
Suppose -w = -4*w + 3. Let n(k) = 4*k**2 - k - 3*k**2 - 14*k**3 - 2*k**3 - w. What is the units digit of n(-1)?
7
Suppose -12 = -4*q + 2*q. Suppose -2*s + 5*g + 46 = 0, g + 20 = s - q. Let a = 36 - s. What is the units digit of a?
8
Let w(a) = a + 27. What is the tens digit of w(-15)?
1
Suppose 0 = 6*g - 49 - 5153. What is the tens digit of g?
6
Suppose -4*i + 5*i = -8. Let y = 142 - i. What is the hundreds digit of y?
1
Let t = -232 - -1130. What is the hundreds digit of t?
8
Let h = 609 - -481. What is the units digit of h?
0
Let s = -533 - -1027. What is the units digit of s?
4
Suppose 2*z - 61 = 103. Suppose -3*j - 2*p = 79 + 57, 4*p = 2*j + 80. Let n = z + j. What is the tens digit of n?
3
Let o = 8725 - 3917. What is the tens digit of o?
0
Let h(f) = -5*f**2 - 16*f + 3. Let l(m) = -4*m**2 - 15*m + 3. Let u(j) = 5*h(j) - 6*l(j). Let t be 172/24 - (13/6 - 2). What is the units digit of u(t)?
8
Suppose -3*w = -t - 6, -2*t + 8 = -3*w + 7*w. Suppose -w*a + 647 = 91. What is the tens digit of a?
7
Suppose 4*l - 972 = -9*o + 4*o, 2*l = 5*o - 984. Suppose 6*m - 2*m = o. Suppose -3 + m = d. What is the units digit of d?
6
Let a = 18 + -13. Suppose 8 - 2 = 2*u, 13 = -f + a*u. Suppose -o - 14 = -5*o + f*l, 0 = -3*o - l + 18. What is the units digit of o?
5
Let p = 359 - 192. What is the tens digit of p?
6
Let v = -10 + 5. Let i(y) = 2*y**2 + 3*y - 16. What is the tens digit of i(v)?
1
Let k = 273 + -35. Let t = k - 86. What is the units digit of t?
2
Let z = 116 + -94. Suppose 0 = 14*p + z - 106. What is the units digit of p?
6
What is the tens digit of (-105000)/112*(-12)/10?
2
Let f(n) = 2*n + 7. Let z be f(-4). Let k be z + (-6)/(-2) - -1. What is the tens digit of -8*(-1 - (3 + k))?
5
Suppose -3*c = -4*q - 506, 3*q - 466 = -3*c - q. Let f = 294 - c. What is the tens digit of f?
3
Suppose -5*r + 2*i - 5*i + 19 = 0, 4 = -r + 2*i. Suppose 0 = -r*v + 11*v - 846. What is the units digit of v?
4
Let t be 19/(3 - 1 - 1). Suppose -1 = -r, -l - r = 4*l + t. What is the units digit of ((-126)/(-3))/((-3)/l)?
6
Let h be (-144)/30*((-235)/(-2) + 0). What is the hundreds digit of -3 + h/8*-2?
1
Let q(g) = g**2 - 3*g + 9. Let f = -18 - -13. What is the units digit of q(f)?
9
Let w = 7104 + -2786. What is the tens digit of w?
1
Let a = 221 - -57. What is the units digit of a?
8
Let m be (-4 + 24/5)*20. Suppose -2*w + 20 = m. Suppose w*h = -i + 3, 0 = 2*i + 2. What is the units digit of h?
2
Suppose -4*f = -80 + 8. Let w = f + 2. What is the tens digit of w?
2
Let k = -1103 + 1741. What is the units digit of k?
8
Let m = 2 + 51. Let z = m - 25. Let k = 47 - z. What is the tens digit of k?
1
Le
|
{
"pile_set_name": "DM Mathematics"
}
|
- 6*v - 182
What is the g'th term of -977141591, -977141590, -977141589, -977141588, -977141587, -977141586?
g - 977141592
What is the x'th term of -4092, -3717, -3064, -2109, -828, 803, 2808?
4*x**3 + 115*x**2 + 2*x - 4213
What is the f'th term of 252000, 249092, 246184, 243276?
-2908*f + 254908
What is the t'th term of 1238935, 2477609, 3716283, 4954957, 6193631, 7432305?
1238674*t + 261
What is the b'th term of -9234, -27765, -58650, -101889, -157482?
-6177*b**2 - 3057
What is the v'th term of 11037297, 11037284, 11037257, 11037210, 11037137, 11037032, 11036889, 11036702?
-v**3 - v**2 - 3*v + 11037302
What is the t'th term of 189663, 758611, 1706855, 3034395, 4741231, 6827363?
189648*t**2 + 4*t + 11
What is the t'th term of 9353, 37816, 85417, 152156, 238033?
9569*t**2 - 244*t + 28
What is the y'th term of 825, 865, 939, 1047, 1189, 1365, 1575?
17*y**2 - 11*y + 819
What is the c'th term of -210282, -840527, -1890936, -3361509, -5252246, -7563147?
-210082*c**2 + c - 201
What is the t'th term of 2487, 1987, 1487?
-500*t + 2987
What is the v'th term of -19685323, -19685325, -19685327, -19685329, -19685331, -19685333?
-2*v - 19685321
What is the i'th term of 266174, 266170, 266160, 266144, 266122?
-3*i**2 + 5*i + 266172
What is the x'th term of 44, -464, -1562, -3250?
-295*x**2 + 377*x - 38
What is the x'th term of 10342, 10498, 10654, 10810, 10966, 11122?
156*x + 10186
What is the y'th term of 56641, 112775, 168909, 225043?
56134*y + 507
What is the a'th term of -7351, -29129, -65335, -115969, -181031, -260521?
-7214*a**2 - 136*a - 1
What is the x'th term of -8482, -8469, -8456, -8443, -8430, -8417?
13*x - 8495
What is the v'th term of 6700446, 13400907, 20101368, 26801829?
6700461*v - 15
What is the f'th term of -354207, -354252, -354297, -354342, -354387, -354432?
-45*f - 354162
What is the v'th term of -1892, -3829, -6532, -10385, -15772, -23077, -32684, -44977?
-64*v**3 + v**2 - 1492*v - 337
What is the n'th term of -56987, -56555, -56123, -55691?
432*n - 57419
What is the n'th term of 7904, 15953, 24144, 32477, 40952?
71*n**2 + 7836*n - 3
What is the w'th term of -26744, -26760, -26762, -26744, -26700, -26624?
w**3 + w**2 - 26*w - 26720
What is the s'th term of 1180, 4867, 10922, 19345, 30136, 43295, 58822?
1184*s**2 + 135*s - 139
What is the q'th term of -19997, -79122, -177665, -315626, -493005, -709802?
-19709*q**2 + 2*q - 290
What is the w'th term of -136687, -144714, -152741, -160768, -168795, -176822?
-8027*w - 128660
What is the h'th term of -12552, -25052, -37510, -49926?
21*h**2 - 12563*h - 10
What is the f'th term of -904229, -1808415, -2712573, -3616709, -4520829, -5424939?
-f**3 + 20*f**2 - 904239*f - 9
What is the k'th term of 184808279, 184808277, 184808275, 184808273?
-2*k + 184808281
What is the j'th term of -1423406, -2846997, -4270588, -5694179?
-1423591*j + 185
What is the o'th term of -8450, -16299, -23046, -28139, -31026?
92*o**3 - o**2 - 8490*o - 51
What is the u'th term of 249372, 253371, 257382, 261411, 265464, 269547, 273666?
u**3 + 3992*u + 245379
What is the a'th term of -8343, -9203, -10585, -12447, -14747, -17443, -20493, -23855?
7*a**3 - 303*a**2 - 8047
What is the w'th term of -205465, -205460, -205455, -205456, -205469?
-w**3 + 6*w**2 - 6*w - 205464
What is the l'th term of 1896, 3506, 4856, 5952, 6800?
l**3 - 136*l**2 + 2011*l + 20
What is the h'th term of -3372, -13714, -30964, -55134, -86236, -124282, -169284?
-2*h**3 - 3442*h**2 - 2*h + 74
What is the v'th term of 2522178, 2522174, 2522156, 2522118, 2522054, 2521958?
-v**3 - v**2 + 6*v + 2522174
What is the x'th term of -49000, -51211, -53422, -55633, -57844?
-2211*x - 46789
What is the s'th term of 69029, 138068, 207115, 276164, 345209, 414244, 483263?
-s**3 + 10*s**2 + 69016*s + 4
What is the p'th term of 126, 2658, 7584, 14892, 24570?
-2*p**3 + 1209*p**2 - 1081*p
What is the v'th term of 38796, 154996, 348666, 619806, 968416, 1394496?
38735*v**2 - 5*v + 66
What is the w'th term of 56664, 227176, 511358, 909204, 1420708, 2045864, 2784666?
-w**3 + 56841*w**2 - 4*w - 172
What is the b'th term of -729823, -1459659, -2189495, -2919331, -3649167, -4379003?
-729836*b + 13
What is the w'th term of -20931013, -20931012, -20931011, -20931010, -20931009?
w - 20931014
What is the z'th term of 8056706, 16113404, 24170102?
8056698*z + 8
What is the o'th term of 1844, 1747, 1492, 1001, 196, -1001, -2668?
-13*o**3 - o**2 - 3*o + 1861
What is the g'th term of -257947241, -515894486, -773841731, -1031788976, -1289736221?
-257947245*g + 4
What is the j'th term of -5058, -18251, -40246, -71049, -110666, -159103, -216366, -282461?
-j**3 - 4395*j**2 - j - 661
What is the v'th term of -76089, -76021, -75901, -75723, -75481, -75169, -74781?
v**3 + 20*v**2 + v - 76111
What is the g'th term of 14958924, 14958930, 14958946, 14958978, 14959032, 14959114, 14959230?
g**3 - g**2 + 2*g + 14958922
What is the g'th term of -357270, -715009, -1072748, -1430487, -1788226?
-357739*g + 469
What is the r'th term of 4622, 13629, 28640, 49655?
3002*r**2 + r + 1619
What is the u'th term of -15881, -13282, -10673, -8048, -5401, -2726?
u**3 - u**2 + 2595*u - 18476
What is the t'th term of -9817, -20511, -31191, -41851, -52485, -63087, -73651, -84171?
t**3 + t**2 - 10704*t + 885
What is the f'th term of 923, 755, 589, 425, 263?
f**2 - 171*f + 1093
What is the m'th term of -1319, -2090, -2289, -1916, -971, 546?
286*m**2 - 1629*m + 24
What is the v'th term of 190253131, 190253138, 190253157, 190253194, 190253255, 190253346, 190253473, 190253642?
v**3 + 190253130
What is the m'th term of -377, -3005, -10139, -24029, -46925?
-375*m**3 - 3*m**2 + 6*m - 5
What is the p'th term of -14055, -112457, -379521, -899577, -1756955, -3035985, -4820997?
-14055*p**3 - p**2 - 14*p + 15
What is the w'th term of -20182634, -40365218, -60547802?
-20182584*w - 50
What is the g'th term of 16560, 44216, 71872?
27656*g - 11096
What is the i'th term of -2341, -4597, -6821, -9007, -11149, -13241, -15277?
i**3 + 10*i**2 - 2293*i - 59
What is the o'th term of -13183, -26768, -40777, -55210, -70067, -85348?
-212*o**2 - 12949*o - 22
What is the o'th term of 458519179, 458519178, 458519177, 458519176?
-o + 458519180
What is the a'th term of -2845, -10965, -24355, -43015, -66945, -96145, -130615?
-2635*a**2 - 215*a + 5
What is the i'th term of -19294, -34721, -50150, -65581, -81014, -96449, -111886?
-i**2 - 15424*i - 3869
What is the y'th term of -42480809, -42480812, -42480815?
-3*y - 42480806
What is the l'th term of -384062, -384502, -384942?
-440*l - 383622
What is the i'th term of -740515, -1481031, -2221547, -2962063, -3702579?
-740516*i + 1
What is the h'th term of 27725730, 27725720, 27725708, 27725694, 27725678, 27725660?
-h**2 - 7*h + 27725738
What is the c'th term of -3340063, -3340059, -3340053, -3340045, -3340035?
c**2 + c - 3340065
What is the k'th term of 211521, 211540, 211571, 211614?
6*k**2 + k + 211514
What is the j'th term of 68869104, 137738212, 206607320, 275476428, 344345536, 413214644?
68869108*j - 4
What is the l'th term of 12108, 24756, 37422, 50106, 62808, 75528?
9*l**2 + 12621*l - 522
What is the v'th term of -15622, -24428, -39104, -59650, -86066, -118352?
-2935*v**2 - v - 12686
What is the k'th term of -13, 80, 251, 542, 995, 1652, 2555, 3746?
7*k**3 - 3*k**2 + 53*k - 70
What is the v'th term of 2964, -466, -6182, -14184, -24472, -37046?
-1143*v**2 - v + 4108
What is the d'th term of -2981687, -5963379, -8945071, -11926763?
-2981692*d + 5
What is the x'th term of 51143, 50895, 50647?
-248*x + 51391
What is the w'th term of -9605734, -19211456, -28817180, -38422906, -48028634, -57634364, -67240096?
-w**2 - 9605719*w - 14
What is the q'th term of 31586, 127748, 288018, 512396?
32054*q**2 - 468
What is the i'th term of 13451, 13310, 13169, 13028, 12887, 12746?
-141*i + 13592
What is the r'th term of 11126, 13981, 21732, 36827, 61714, 98841, 150656, 219607?
408*r**3 - r + 10719
What is the j'th term of 77, 253, 531, 905, 1369?
-j**3 + 57*j**2 + 12*j + 9
What is the r'th term of -2361, -2896, -3415, -3918, -4405, -4876, -5331?
8*r**2 - 559*r - 1810
What is the g'th term of -40434, -40582, -40982, -41760, -43042, -44954, -47622?
-21*g**3 - g - 40412
What is the l'th term of 2034386, 4068756, 610312
|
{
"pile_set_name": "DM Mathematics"
}
|
divided by 13?
6
Let y(c) = -4*c - 1. Let r(x) = 28*x + 1. Let p(s) = -r(s) - 6*y(s). What is the remainder when ((-60)/14)/(1/(-7)) is divided by p(0)?
0
Let t be 10/(-20)*(-76)/1. Suppose 6*b - t = -x + 8*b, -4*x = -2*b - 182. Calculate the remainder when x is divided by 25.
23
Let a be 254/(-4) - 111/(-74). What is the remainder when 194 is divided by (4/(-6))/(a/3627)?
38
Suppose 8 = -3*h + 23. Suppose -245 + 40 = -h*l. What is the remainder when 79 is divided by l?
38
Suppose 5*a - 5*d + 2*d - 319 = 0, 0 = -5*a - d + 307. Suppose -s - 3*w = -187, 10*s - w - 696 = 6*s. Calculate the remainder when s is divided by a.
51
Suppose 0 = -5*z + w + 399, -7*z + 4*z + w = -239. Calculate the remainder when 125 is divided by z.
45
Let c be (4/(-14))/((-12)/336). Suppose -3*y + c*y = 110. Calculate the remainder when y is divided by 6.
4
Suppose -2*y - 46 + 72 = -2*b, -2*y - 4*b + 26 = 0. Suppose -x + 7*x = 4164. What is the remainder when x/8 - (-3)/12 is divided by y?
9
Let y = -1047 + 1055. What is the remainder when 438 is divided by y?
6
Suppose -2*x + 2 = 0, i + 3*x - 5*x - 28 = 0. Calculate the remainder when 30 + 20 - ((-1)/1 - -2) is divided by i.
19
Let g = 408 + -108. Let r = g + -237. What is the remainder when 247 is divided by r?
58
Let l(r) = -r**3 + 11*r**2 + 3*r + 44. Calculate the remainder when l(5) is divided by 10.
9
Calculate the remainder when ((-5988)/(-9)*-1)/(100/(-150)) is divided by 274.
176
Suppose -109789 = -125*p + 58557 + 7529. What is the remainder when p is divided by 281?
2
Let c = 3158 - 1607. Suppose -5*b + 807 = 2*i + 36, c = 4*i + b. What is the remainder when i is divided by 26?
24
Let q = -1645 + 1715. Calculate the remainder when 145 is divided by q.
5
Suppose -12*u = -13*u - 6. What is the remainder when 85 is divided by (-11)/((-110)/400) - u?
39
Suppose 0 = -3*n + 2*u + 107, 5*n = -18*u + 22*u + 179. Suppose -40*b + n*b = -50. What is the remainder when 36 is divided by b?
6
Suppose 0 = 4*s + 3*m - 150, -4*m + 123 = 4*s - 29. Let c = -6 + s. Suppose 6*k = k + c. What is the remainder when 21 is divided by k?
3
Let x be 2*(-3)/(-10) - (-7)/5. Suppose 3 = h - 5*k, -75 = -2*h - x*h - k. What is the remainder when 84 is divided by h?
12
Let t(g) = -14*g + 190. Let o be t(11). What is the remainder when 95 is divided by 3/(-15)*12*(-90)/o?
5
Let f(s) be the second derivative of -5*s**3/6 + 10*s**2 - 2*s + 25. What is the remainder when 313 is divided by f(-3)?
33
Let d = -135 + 132. What is the remainder when (-3 - (-25)/(-10))*(d + -55) is divided by 64?
63
Suppose -37 = -3*i + 8. Let y = 23 - -1. Let h = 79 - y. Calculate the remainder when h is divided by i.
10
Suppose -124*s + 1064 = -96*s. Calculate the remainder when 43 is divided by s.
5
Let s be 0/(42/(-7) + 5). Suppose 4*r + b - 20 = -3*b, -2*r + b + 25 = s. What is the remainder when r is divided by 1/(2/(7 + -1))?
1
Suppose -4*q + 5*a + 504 = 0, -113*q + 639 = -108*q - 4*a. Calculate the remainder when q is divided by 68.
63
What is the remainder when 5 + ((-12)/(-7))/((-52)/(-30758)) is divided by 16?
11
Let s be 2/8 - 465/(-124). Suppose 1 + 43 = s*d + 4*i, 2*d - 4 = 4*i. What is the remainder when 40 is divided by d?
0
Let v(z) = z**3 - 4*z**2 + 14*z - 235. Calculate the remainder when v(11) is divided by 155.
146
Let a(u) = 2*u**2 + 168*u + 990. Calculate the remainder when 1349 is divided by a(-6).
53
Let t be ((-5)/10)/((-1)/(-62)). Let c = t + 59. Calculate the remainder when c is divided by 82/(-41)*(-1)/4*16.
4
Let i = -2939 + 2975. What is the remainder when i is divided by 20?
16
Let k(q) be the first derivative of -q**2/2 + 101*q - 47. What is the remainder when k(-23) is divided by 24?
4
What is the remainder when (-514)/(-4) + (0 - ((-40)/(-16))/5) is divided by 69?
59
Let c = 33140 + -33007. Calculate the remainder when 851 is divided by c.
53
Let z = -2547 - -3355. Calculate the remainder when z is divided by 116.
112
Let q(d) = 45*d**2 - 1. Let n = 423 + -206. Calculate the remainder when n is divided by q(1).
41
Suppose -4*a - 201 = -5*c + 151, -3*a - 282 = -4*c. Suppose 17*l - 196*l = -4475. What is the remainder when c is divided by l?
22
Suppose 333 = 3*m + 306. Calculate the remainder when 218 is divided by m.
2
Let j = 509 - 741. Let d = -155 - j. Calculate the remainder when d is divided by 26.
25
Let b be (-2 - -3)/(1/5). Suppose -3*d + 597 = -5*r + 6, -d + 597 = -b*r. Let x = r - -178. Calculate the remainder when x is divided by 20.
18
Let m = 5285 + -5015. What is the remainder when m is divided by 72?
54
Let q = -166 - -293. Let x be (-25 + 6 - -8) + 7. Calculate the remainder when q is divided by 18/(12/x) + 38.
31
Let d(x) = -x**2 - 12*x - 11. Let j be d(-11). Suppose 5*p - 5*m = 340, 5*m - 4*m = j. Calculate the remainder when p is divided by 18.
14
Suppose 3*m - 5*l = 2096, -2*m + 2*l + 2387 = 991. Calculate the remainder when m is divided by 338.
21
Suppose 0 = -2*z + 403 - 121. Let d(u) = -2*u**2 - 127*u + 1102. What is the remainder when z is divided by d(-71)?
30
Suppose -23*r + 327 = -500 + 229. Calculate the remainder when 46 is divided by r.
20
Let x(j) = j**3 + 6*j**2 - 7*j + 4. Suppose 4339 + 4137 = -13*i. Let n = i - -662. What is the remainder when x(-6) is divided by n?
6
Let b = -101 - -190. Let w(a) = -a**3 + 8*a**2 - 9*a - 7. Let k be w(6). Suppose k*u = u + 300. Calculate the remainder when b is divided by u.
29
Suppose -12*q - 12 = -14*q. Let j be (-2 + -133)*q/(-9). Suppose 31*f = 26*f + j. Calculate the remainder when f is divided by 10.
8
Let o = -3101 - -4839. Let y = o - 1150. What is the remainder when y is divided by 59?
57
Let z = 34 + -22. Suppose 0 = -2*q - 11*q + 39. Suppose z = q*d - d. Calculate the remainder when 15 is divided by d.
3
Let p = -21962 - -22027. Calculate the remainder when 304 is divided by p.
44
Let i(p) = p**3 - 60*p**2 + 119*p - 90. Calculate the remainder when 171 is divided by i(58).
3
Let a(h) = -28*h - 1874. Calculate the remainder when 2038 is divided by a(-68).
28
Suppose 21012 = 136*u - 33*u. What is the remainder when u is divided by 43?
32
Let g(y) = y**2 - 16*y - 61. Let t be g(20). Suppose -2*c = -7 - t. Calculate the remainder when 50 is divided by c.
11
Let g = -538 - -679. Suppose 3*v = 3*f - g, -10*f + 90 = -8*f - 4*v. What is the remainder when 95 is divided by f?
46
Suppose -171 = 4*b - 5*d, 3*b + 120 = 2*d - d. Let a = b - -44. Calculate the remainder when 47 is divided by 1 - -7*(a - 4).
7
Suppose b - 34 + 39 = 0. Let l = b - -189. Calculate the remainder when l is divided by 21.
16
Suppose -z + 33 - 31 = 0. Suppose 0 = -z*k + 9*n - 5*n - 5332, 7968 = -3*k - 4*n. Calculate the remainder when k/(-25) - 3/(-5) is divided by 29.
20
Suppose -12 = -4*k - o, 3*k - 9 + 0 = -2*o. Suppose 2*i - 48 = 4*h, -k*h + 11 = -4*i + 92. What is the remainder when 69 is divided by i?
15
Let h(u) = u**3 + 10*u**2 + u + 15. Let i be h(-10). Suppose -n - 3 - 52 = -2*k, 2*k + i*n - 85 = 0. What is the remainder when 112 is divided by k?
22
Suppose 5*k - 156 = -141. Suppose -4*r + 4*j + 74 = -186, k*j - 281 = -4*r. What is the remainder when 199 is divided by r?
63
What is the remainder when 136 + -137 + 42*4*1 is divided by ((-2)/(-5))/(2/40)?
7
What is the remainder when (3037/2)/(107/214) is divided by 31?
30
Suppose -9*b + 2 = -8*b. Suppose -3*q + 4*d + 88 - 9 = 0, 4*d - 46 = -b*q. Suppose -198 = -3*y + 96. What is the remainder when y is divided by q?
23
Suppose -2*z - 385 = -f, 307*z - 305*z = -3*f + 1171. What is the remainder when f is divided by 196?
193
Suppose -9*a + 21*a = 3648. Let i = -289 + a. What is the remainder when 131 is divided by i?
11
Let g(r) = r**2 + 8*r + 19. Let z be g(-4). Suppose -74 = -3*k - 5*o, 11 - 61 = -2*k - z*o. Suppose -u + k = 6*u. What is the remainder when 5 is divided by u?
1
Let m(u) be the third derivative of 7*u**4/8 + 4*u**3/3 + 15*u**2. What is the remainder when m(7) is divided by 16?
11
Let i be ((-15)/(-3) - -45)*-1. Let s = -27 - i. What is the remainder when 179 is divided by s?
18
Let k = -18 + 29. Let x(d) = d**2 - 7*d. Let i be x(k). Suppose -b - l + i = -0*l, 5*b - 3*l = 204. What is the remainder when b is divided by 22?
20
Let y = 294 + -292. What is the remainder when ((-132)/88)/(y/(-88)) is divided by 29?
8
Let
|
{
"pile_set_name": "DM Mathematics"
}
|
7*y**3
Collect the terms in 556*o**3 - 1147*o**3 + 572*o**3.
-19*o**3
Collect the terms in 463 - 1454*r**2 - 463 - 1297*r**2.
-2751*r**2
Collect the terms in 184*z**3 + 17*z**2 - 347*z**3 + 167*z**3.
4*z**3 + 17*z**2
Collect the terms in -1902*t + 965*t + 938*t.
t
Collect the terms in -8656*h**3 + 4223*h**3 + 4437*h**3.
4*h**3
Collect the terms in 3464*i + 3478*i - 6942*i + 70*i**2 - 19*i**2.
51*i**2
Collect the terms in -52937249*p**2 + 52937249*p**2 + 6*p**3.
6*p**3
Collect the terms in -319*g**2 - 28*g**2 + 353*g**2.
6*g**2
Collect the terms in -397*h**2 - 936*h**2 - 68*h**2.
-1401*h**2
Collect the terms in 174*v**2 - 239*v**2 - 127*v**2.
-192*v**2
Collect the terms in -3*n + 7*n + 4785 - 9620 + 4835.
4*n
Collect the terms in 30*w**3 + 32*w**3 + 19*w**3 - 77*w**3.
4*w**3
Collect the terms in -1752*g + 3474*g - 1719*g.
3*g
Collect the terms in 524*r**3 + 9638 - 9638.
524*r**3
Collect the terms in -4*s + 32*s - 112*s - 46*s.
-130*s
Collect the terms in -187*y**3 + 93*y**3 + 99*y**3 - 10*y**2.
5*y**3 - 10*y**2
Collect the terms in 682*a + 394*a - 189*a + 663*a.
1550*a
Collect the terms in 15*y**3 + 177*y**2 + 115*y**2 - 292*y**2.
15*y**3
Collect the terms in -11*j**3 + 2*j**3 + 46*j - 5*j**3 - 12*j**3.
-26*j**3 + 46*j
Collect the terms in -2*v**3 - 24831659*v + 24831659*v.
-2*v**3
Collect the terms in -16049 + 16049 + 4*j.
4*j
Collect the terms in 84*r**3 - 33*r**3 + 1 - 47*r**3.
4*r**3 + 1
Collect the terms in 1234*n**3 - 2513*n**3 + 7282*n**3 + 2481*n**3.
8484*n**3
Collect the terms in 455*v**3 + 451*v**3 - 1351*v**3 + 449*v**3.
4*v**3
Collect the terms in -16020 + 48053 - 16017 - 16016 - 5*r.
-5*r
Collect the terms in 26325 - 26325 + 2*p - 69*p.
-67*p
Collect the terms in -3*z + 3*z + 413*z**3 + 1127*z**3.
1540*z**3
Collect the terms in 194*q**3 + 193*q**3 + 204*q**3 - 584*q**3.
7*q**3
Collect the terms in -3171*j**2 + 2332*j**2 + 844*j**2.
5*j**2
Collect the terms in 3*s**2 - 5*s + 3*s + 3*s**2 + 2*s**2 - 473.
8*s**2 - 2*s - 473
Collect the terms in -53387 - 2*x**2 - 53186 + 106573.
-2*x**2
Collect the terms in 0*t + 7*t + 4*t + 3*t - 16*t.
-2*t
Collect the terms in 4541*q**2 - 9081*q**2 + 4540*q**2 - 8*q**3 + 7*q**3.
-q**3
Collect the terms in 2159*s - 341*s**3 - 2159*s.
-341*s**3
Collect the terms in -2200*j**3 + 2292*j**3 - 180*j + 92*j + 88*j.
92*j**3
Collect the terms in 32589*u - 97837*u + 32624*u + 32625*u.
u
Collect the terms in -5015 + 5015 + 54*b**2 + 9*b**3 - 54*b**2.
9*b**3
Collect the terms in -1455*c + 0 - 3 + 3.
-1455*c
Collect the terms in 7*b**2 - 6*b**2 + b**2 - 3*b**2 - 3*b**2 - 181*b.
-4*b**2 - 181*b
Collect the terms in 18 - 84*r**2 - 31 + 13.
-84*r**2
Collect the terms in -77724 - 12*f + 77724.
-12*f
Collect the terms in 13056*p + 13050*p - 26115*p.
-9*p
Collect the terms in -89*q - 169*q + 58*q - 93*q + 9.
-293*q + 9
Collect the terms in 3011*u**2 + 4201*u**2 - 1725*u**2.
5487*u**2
Collect the terms in 5*b - 13*b + 61*b**3 + 8*b.
61*b**3
Collect the terms in 1136*f**2 - 560*f**2 - 580*f**2.
-4*f**2
Collect the terms in 28543*g - 57088*g + 28547*g + 21*g**2.
21*g**2 + 2*g
Collect the terms in 92*f**2 - 1443*f**3 - 485*f**3 - 92*f**2.
-1928*f**3
Collect the terms in -67*p**3 - 326*p**3 + 391*p**3.
-2*p**3
Collect the terms in -63*u + 19*u + 24*u + 8*u.
-12*u
Collect the terms in 125 + 9*s**3 - 40 - 42 - 43.
9*s**3
Collect the terms in 0*m**3 - 4*m**3 - 3157627032*m + 3157627032*m.
-4*m**3
Collect the terms in 1177*m**2 + 2503*m**2 + 5826*m**2 - 963*m**2.
8543*m**2
Collect the terms in 24620*h**2 + 24591*h**2 - h**3 - 49211*h**2.
-h**3
Collect the terms in 72*n + 40*n - 87*n + 39*n.
64*n
Collect the terms in -1701210*i**3 + 3*i + 1701213*i**3 - 3*i.
3*i**3
Collect the terms in 8*v**2 - 96*v**2 - 21*v**2 + 132*v**2 - 19*v**2.
4*v**2
Collect the terms in -13*f**3 - 15*f**3 + 20*f**3 + 12.
-8*f**3 + 12
Collect the terms in 10*c**3 + 337 + 9*c**2 + c**3 - 2*c - 61.
11*c**3 + 9*c**2 - 2*c + 276
Collect the terms in -8*s**2 + 105*s**3 + 31*s**2 - 202*s**3 + 99*s**3.
2*s**3 + 23*s**2
Collect the terms in -1279*t**3 + 1 + 1230*t**3 - 1.
-49*t**3
Collect the terms in 2228*i**2 - 2229*i**2 - 4 - 7 + 11.
-i**2
Collect the terms in -19*m - 12*m + 30*m - 3756.
-m - 3756
Collect the terms in 410*w**2 + 11 - 20*w**2 + 8 - 19.
390*w**2
Collect the terms in -310*d**2 + 35*d**2 - 346*d**2.
-621*d**2
Collect the terms in -629*j**3 + 1081*j**3 - 582*j**3.
-130*j**3
Collect the terms in 4 - 7 + 1 + 6724*b**2.
6724*b**2 - 2
Collect the terms in 18*h**2 + 22215695 - 22215695 - 14*h**2.
4*h**2
Collect the terms in 19 + 879*i - 268*i - 19 - 344*i.
267*i
Collect the terms in q + 4*q - 12*q + 6*q + 0*q.
-q
Collect the terms in 3 + 43*a + 2 - 5 + 52*a - 79*a.
16*a
Collect the terms in 1 + 8*v**3 - 1 + 27182*v - 27182*v.
8*v**3
Collect the terms in -4 - 543*u + 1111*u - 568*u - 5*u**2.
-5*u**2 - 4
Collect the terms in -90 - 14*r**2 + 0*r - 35 + 0*r.
-14*r**2 - 125
Collect the terms in -2204*g**2 + 4437*g**2 - 2214*g**2.
19*g**2
Collect the terms in 133*o - 10*o + 168*o + 25 + 9.
291*o + 34
Collect the terms in -80*a**3 + 15*a - 5*a + 23*a**3 + 42*a**3.
-15*a**3 + 10*a
Collect the terms in 2116*m**3 - 11095*m - 629*m**3 + 11095*m.
1487*m**3
Collect the terms in 25*t**3 + 24*t**3 - 41*t**3.
8*t**3
Collect the terms in 1225*r + 1242*r + 1226*r - 3698*r.
-5*r
Collect the terms in 2439*g**3 + 1115*g**3 - 1121*g**3 + 2280*g**3.
4713*g**3
Collect the terms in 5 - 5*b**2 + 2*b**2 + 375*b - 1054*b + 0*b**2.
-3*b**2 - 679*b + 5
Collect the terms in 1542147 - 10*f - 1542147.
-10*f
Collect the terms in -112970*r**2 + 56482*r**2 + 56483*r**2.
-5*r**2
Collect the terms in 4 - 365*s**3 - 122*s**3 - 4.
-487*s**3
Collect the terms in 462*g + 1 + 65*g**2 + 4*g**2 - 462*g.
69*g**2 + 1
Collect the terms in -3*c + 39 - 37 + 150.
-3*c + 152
Collect the terms in 6 + 12*a + 8 - 30 + 16.
12*a
Collect the terms in -4*y**2 - 2*y**2 + 10260 - 10260.
-6*y**2
Collect the terms in -34*b**2 - 78*b**2 + 112*b**2 - b**3.
-b**3
Collect the terms in -7*l**3 + 0*l**3 - 101479*l**2 + 101479*l**2.
-7*l**3
Collect the terms in -3 + 3 - 5935*f.
-5935*f
Collect the terms in 363*t - 739*t + 357*t.
-19*t
Collect the terms in -873*b - 844*b - 839*b - 875*b + 4259*b - 880*b.
-52*b
Collect the terms in -3939*t + 418*t**2 + 3936*t - 85*t**2.
333*t**2 - 3*t
Collect the terms in 38 - 73 + 33*m**2 + 34 + 6*m**2.
39*m**2 - 1
Collect the terms in -193037*m + 48261*m + 48259*m + 48258*m + m**2 + 48259*m.
m**2
Collect the terms in 1 + 46*h - 46*h + 69*h**2 - 1.
69*h**2
Collect the terms in 46348*i + 80*i**2 + 1 - 46348*i.
80*i**2 + 1
Collect the terms in -5559*z - 2 - z**3 + 2772*z + 2 + 2787*z.
-z**3
Collect the terms in 10 - 13 - 7 + 9 + 2*j - 17*j.
-15*j - 1
Collect the terms in -1046971077 - 12*h + 1046971077.
-12*h
Collect the terms in 938*a - 885971 + 885971.
938*a
Collect the terms in -734*j + 3*j**3 + 734*j - j**3 - 15*j**3 + 9*j**3.
-4*j**3
Collect the terms in -2 + 41*l - 119*l + 8*l - 77*l.
-147*l - 2
Collect the terms in -6*g + 2922 + 2928 + 2925 - 8775.
-6*g
Collect the terms in 112*w**3 + 26*w + 23*w + 45*w.
112*w**3 + 94*w
Collect the terms in 17*y**2 - 31*y**2 + 17*y**2 + 6*y**2 - 1.
9*y**2 - 1
Collect the terms in 27 + 8*n**2 - 5*n**2 - 30 + 4*n**2 + 6*n**2.
13*n**2 - 3
Collect the terms in 12*z + 1153828 - 1153828.
12*z
Collect the terms in 6132*o**2 + 6096*o**2 + 1 + 6093*o**2 - 18318*o**2 - 1.
3*o**2
Collect the terms in -3028 + a - 2*a + 7*a + 0*a.
6*a - 3028
Collect the terms in -272 - 275 - 215 - 4*y + 762.
-4*y
Collect the terms in 6*m + 4*m**2 + 3*m**3 - 9*m**2 + 2*m**3 + 5*m**2.
5*m**3 + 6*m
Collect the terms in -3 + 2*k + 8*k + 1 + 7 + 4*k.
14*k + 5
Collect the terms in -8*p + 74*p**3 - 14*p - 4*p - 4*p.
74*p**3 - 30*p
Collect the terms in -31*u**2 + 11 + 13 + 16*u**2.
-15*u**2 + 24
Collect the terms in 27*o - 17 + 162*o + 105.
189*o + 88
Collect the terms in -2 - 771*z + 2 + 774*z - 4*z**2 + 0*z**2.
-4*z**2 + 3*z
Collect the terms in -3 + 6*d - 4*d + 13*d**2 + 332*d**2.
345*d**2 + 2*d - 3
Collect the terms in -1839*t**2 + 2802*t**2 - 965*t**2.
-2*t**2
Collect the terms in -260*h + 53*h - 137*h.
-344*h
Collect the terms in 2*f**3 - 1237*f**2 + 0*f**3 + 1237*f**2 + 3*f**3.
5*f**3
Collect the terms in -5390257 + 10780522 - 5390265 + 6*y**2.
6*y**2
Collect the terms in 1 -
|
{
"pile_set_name": "DM Mathematics"
}
|
5*t**5) - 4*t**2 + 31*t**5 + 15*t**2 - 11*t**2.
32*t**5
Expand (-2*u**3 - u + u)*(-51*u**2 - 52*u**2 - 17*u**2) - u**5 - 2*u**5 + 6*u**5.
243*u**5
Expand (-r + 3*r + 2*r + (-r + 0*r + 4*r)*(-6 - 5 - 4))*(2*r + 0*r + 0*r)*(5 - 5 + 1) + r**2 - 6*r**2 + 4*r**2.
-83*r**2
Expand 3462 - 3462 + 284*p**5 + (p - p**4 - p)*(4*p + p - 4*p) + 5*p - 5*p - p**5 + 3*p**5 - p**2 + p**2 + (-p**3 + p**3 + p**4)*(p + 2 - 2).
286*p**5
Expand -18*c**2 + 28*c**2 - 18*c**2 + (3 - 3 - 1)*(0*c**2 - 4*c**2 + c**2).
-5*c**2
Expand (0 - 1 - 1)*(4*x**3 - 64 + 64 + (-2*x + 0*x + x)*(787 - 787 - 26*x**2)).
-60*x**3
Expand (-3*a - 2*a + 6*a)*((1 - 1 + 2)*(-a - 2 + 2) - 20*a - 3*a + 0*a + 4 + a - 4).
-24*a**2
Expand (19*x**3 - 22*x**2 + 16*x**3 - 28*x**3)*(-4*x + 4 - 4).
-28*x**4 + 88*x**3
Expand (2 - 2 - 2*o + (0 - 2 + 0)*(-7*o + 7*o + 8*o))*(-o**2 - 1 + 1) + 0*o**3 + 5*o**3 - 3*o**3.
20*o**3
Expand (-2*u**4 + 0*u**3 + 0*u**3)*(83 - 83 - 56*u).
112*u**5
Expand 0*u + 3*u - 4*u + u + 2*u - 4*u - u - 2 + 2 - 2 + 2 - 2*u + (-2 + 2 - 1)*(u + 4 - 4) + 0*u - 3*u + 2*u + 2*u + 1 - 1 + (3 - 5 + 4)*(85 - 42*u - 85).
-89*u
Expand (-2285 + 1141 + 1144 + 7163*t**2)*((-2 - 3 + 3)*(-t + t + 2*t) + 4*t - 2*t - 4*t).
-42978*t**3
Expand 11*a**2 - 4*a**4 + 1 - 11*a**2 - 1901 - 66*a**4 + 1901 + (-2*a**3 - 4*a**3 + 4*a**3)*(2 - 2*a - 2) - 4*a**4 + 3*a**4 + 3*a**4 - 2*a**4 + 4*a**4 + 0*a**4.
-62*a**4 + 1
Expand -2*c**4 - 4*c**3 + 4*c**3 + (-c**4 - 9*c**4 - 3*c**4)*(0 - 3 + 0).
37*c**4
Expand (v**2 - v**2 - 2*v**2)*(-2 + 3 + 0) - 2*v**2 - v**2 + v**2 + v**2 + 0*v**2 - 5*v**2 + 31*v**2 - 33*v**2 + 1 - 3*v + 4.
-10*v**2 - 3*v + 5
Expand (4*a**3 + 4*a**3 - 4*a**3)*(0 - 2*a**2 + 0) - 5 - 18*a**5 - 3 - 1763*a**5 + 8.
-1789*a**5
Expand (326 + 22 - 20)*(-y - 6*y + 4*y).
-984*y
Expand (-3 + 1 + 5)*(-5*d + 8*d + 5*d)*(4 + 1 - 4).
24*d
Expand (-19*h + 9*h - 11*h)*(0 + 1 - 6)*(-2 + 2 + 2) - 7*h - 4 + 4.
203*h
Expand (-2846 + 2846 + 89*d)*(0 + 0 + d)*(2*d - 3*d + 3*d).
178*d**3
Expand (-3 - 286*b**2 + 140*b**2 + 134*b**2)*(-2 - 1 + 4).
-12*b**2 - 3
Expand (4 - 4 - 2*j**2)*(118*j - 1 - 3*j**2 - 117*j - 6*j**2).
18*j**4 - 2*j**3 + 2*j**2
Expand (2 + 5 - 2)*(-18*f - 12*f - 6*f)*(f - 5*f**2 + 46 - 49 + 3*f**2).
360*f**3 - 180*f**2 + 540*f
Expand (-154*i + 39*i - 82*i)*(-3*i**2 - 2*i**2 + 4*i**2)*(-2*i + 1 - 1).
-394*i**4
Expand b**2 + 2*b**2 - 4*b**2 + 56*b**2 - 92*b + 92*b + (-3*b - 3*b + 4*b)*(2*b + b - 2*b).
53*b**2
Expand -2*u**2 + u**2 - u**2 + (46*u - 7*u + 30*u)*(0 + 0 + 2*u) + u**2 + u**2 - 3*u**2.
135*u**2
Expand (-35 - 40 + 13)*(-12 - 1415*c**2 - 6 + 1413*c**2)*(-c**2 + 0*c**2 + 0*c**2).
-124*c**4 - 1116*c**2
Expand 2 - 3*x - 2 + (-2 + 5 - 1)*(3*x - 7*x + 3*x) + x + 2*x - 4*x - 10*x - 22*x - 2 + 39*x.
x - 2
Expand (-w + w - w)*(-40 - 24 + 88)*(-5*w**2 - 6*w**2 + 6*w**2).
120*w**3
Expand -2*a**3 - 2*a**3 + a**3 + (-6 + 3 + 1)*(-a - 2*a**3 + a) + (2 - 6 + 3)*(3 - 1 + 0)*(2 - 26*a**3 + 28*a**3 + 2).
-3*a**3 - 8
Expand 31*s**4 - 5*s**4 + 9*s**4 + (-s**3 - 3*s**3 + 2*s**3)*(3*s - 4*s - s) + 39*s**4 + 14*s**4 - 18*s**4.
74*s**4
Expand ((-1 + 0 - 1)*(-y - 3*y + 2*y) - 3*y + 2*y + 2*y + (y + 2*y - 4*y)*(-1 + 0 - 1))*(-2 + 0 + 0)*(7 - 4 + 5).
-112*y
Expand (-2 + 0 + 5)*(-25*y - 25*y + 10*y + 19 + 35*y).
-15*y + 57
Expand (-13 + 13 + 2*j + (-12*j - 4*j + 3*j)*(-3 - 2 + 3) - 3 - j + 3 - j - 2*j + 5*j)*(5 + 3*j**2 - 5).
87*j**3
Expand 6*l + 0*l + 4*l + (5 + 1 - 5)*(5*l - 3*l - 4*l) + 1 - 3*l - 1.
5*l
Expand (0 - 2 - 1)*(0 + 0 + 2)*(-19*w**5 - 12*w**3 + 12*w**3).
114*w**5
Expand (-t**3 + 0*t + 0*t)*(t**2 - 3*t + 3*t + (-7 + 7 - 4*t)*(13 + 5*t - 13)) + (2*t**5 - 3*t**5 + 5*t**5)*(1 + 2 - 5).
11*t**5
Expand p + 1 - 1 + 2*p + 0 + 0 + (-7 + 14 + 5)*(0 - p + 0) + 0*p - 3*p + 5*p.
-7*p
Expand (-5*v + 4*v - 6*v)*(0*v**3 + 0*v**3 + v**3)*(8*v - 27 + 27 + (-2 + 4 - 3)*(-v + 2*v + v)).
-42*v**5
Expand (2 - 1 + 0)*(20 + 17 - 4)*(-f + 2*f - 3*f).
-66*f
Expand ((-k**3 - 2*k**3 + 0*k**3)*(-2 - 3 + 7) - 2*k**3 + 2*k**3 - k**3)*(-13 + 8 - 2*k**2 + 4 - 32*k).
14*k**5 + 224*k**4 + 7*k**3
Expand (-3*v - v + 6*v)*(-4 + 2 + 1)*(267 - 220 - 209).
324*v
Expand (0*p - p + 3*p)*(0*p**3 + 7*p**3 - 2*p**3) - 2*p**4 - 4*p**4 + 0*p**4.
4*p**4
Expand (-7*z**3 + 3*z**2 - 3*z**2)*(3 + z**2 - 3 + (-2 + 2 - 2*z)*(4*z - 4*z - z)).
-21*z**5
Expand -13*o + 81*o**3 + 80*o**3 - 163*o**3 + (1 - 1 - o)*(3 + 2*o**2 - 3).
-4*o**3 - 13*o
Expand ((6*d**2 - 4*d**2 - 3*d**2)*(d - d + 2*d) + 0 + 0 - 2*d**3)*(1 - 1 - 1).
4*d**3
Expand -l**3 - 6*l**3 + 5*l**3 - 3*l**3 - 2*l**3 + 2*l**3 + (11*l - 5*l + 0*l)*(4*l**2 - 4*l**2 - 2*l**2) - 3*l**3 + 3*l**3 + l**3.
-16*l**3
Expand (-50*n**2 + 2025*n - 2025*n)*(2*n - n + 0*n)*(2*n + 0*n + 0*n).
-100*n**4
Expand (-54*d + 5 + 0 + 56*d)*(d**3 - d**3 - 3*d**3).
-6*d**4 - 15*d**3
Expand (7 + 12 + 13)*(2*k - 1 + 1)*(-k**2 + k**2 - k**2).
-64*k**3
Expand (-183*n**2 + 6105*n - 6105*n)*(-4*n + 3*n - n)*(-1 + 0 + 0).
-366*n**3
Expand (5*x + 6 - 9*x - 3*x)*(8 - 4 - 2*x - 2*x).
28*x**2 - 52*x + 24
Expand 12*q + 2 - 19*q + 2*q**2 + 12*q + (1 - 3 - 1)*(2*q**2 + 0 + 0).
-4*q**2 + 5*q + 2
Expand (-f**2 - f**2 + 25*f**2)*(2*f**3 - 2*f**3 - f**3).
-23*f**5
Expand (-1 + 1 - s)*(164*s**3 - 1864*s**2 + 1864*s**2 + 2*s**4).
-2*s**5 - 164*s**4
Expand (-253*a + 253*a + 37*a**2)*(-4 - a**2 + 4) - 7*a**2 + 5*a**4 + 7*a**2.
-32*a**4
Expand (0 + 3 + 2)*(0 + v + 0)*(1 - 1 + 2 + (-1 + 4 - 2)*(0 + 1 - 2) - 1 + 3 + 2).
25*v
Expand (-3*t - 3*t + 4*t)*(191*t**3 + 750*t - 750*t).
-382*t**4
Expand 19*i**3 - 20*i**3 - 26*i**3 + (-2 - 2*i**2 + 2)*(-9 + 22*i + 9).
-71*i**3
Expand (160*v**2 - 3 + 165*v**2 - 319*v**2)*(v**2 - 2*v**2 + 3*v**2).
12*v**4 - 6*v**2
Expand (-3 + 3 - 2*x + (-1 + 2 - 3)*(-3 - 2*x + 3) - 2*x + 1 - 1 + 3 - 3 + x - 2 + 2 + x + 2 - x + 1 + 2)*(2*x - 4*x - 4*x).
-6*x**2 - 30*x
Expand (4*a**3 + 24*a**2 - 24*a**2)*((0*a**2 + a**2 + 0*a**2)*(4 + 0 - 5) - 6*a - 7*a**2 + 6*a).
-32*a**5
Expand (-931 + 2565 - 838)*(2*l - 1 + 1).
1592*l
Expand -28*v**3 - 74*v**3 + 6*v**3 + (-1 + 1 + 2*v)*(-4*v**2 + 4*v**2 - v**2).
-98*v**3
Expand (0 - 3 + 5)*(-5*m + 6*m + 0*m)*(-1 + 0 - 1)*(21 - 23 - 20).
88*m
Expand (0*g + 7*g + 2*g)*(-4*g + 3*g - 16*g) + 0*g + 0*g + g**2 + (3*g - g + 0*g)*(-g + 3*g - 3*g).
-154*g**2
Expand -l**3 - 2*l - 113*l**2 + 226*l**2 - 115*l**2 + (-4 + 1 + 2)*(-2*l**3 - 2*l**3 + 6*l**3).
-3*l**3 - 2*l**2 - 2*l
Expand (21790 - 21790 - 173*i)*(1 + 0 - 2).
173*i
Expand (-2*c - c + c)*(4*c**2 + 2*c**2 - 5*c**2 + (3*c - c - 3*c)*(2*c - 2*c - c) - 9 + 9 + 4*c**2)*(0 + 10*c**2 + 0).
-120*c**5
Expand -3*o**4 - 2*o**4 + 3*o**4 + (o**3 + 4*o**3 - 2*o**3)*(o + 0*o + o) - 3273*o**3 - 17*o**4 + 3273*o**3.
-13*o**4
Expand (74*b + 47*b - 15*b - 27*b)*(6 - 6 + 5*b).
395*b**2
Expand (20 + 21 - 19)*((-u - u + 3*u)*(2*u**4 + u**2 - u**2) - 2*u**5 + 2*u**5 + 8*u**5).
220*u**5
Expand (-11 - 1 - 2)*(-3*b**2 + 14*b**2 - 3*b**2).
-112*b**2
Expand (4*u**4 + 2*u**4 - 4*u**4)*(3*u - u - 3*u) + (2 - 1 + 3)*(-2 + 2 - 2*u)*(0*u + 2*u + u)*(u**3 - 1 + 1) + u**5 + 5*u**5 - 4*u**5.
-24*u**5
Expand (-10*b + 39*b - 5*b)*(5*b**2 - b**2 - 2*b**2) + b**3 - 2*b**2 + 2*b**2 + (-2 - 2*b**2 + 2)*(-2*b - b + b) - b**3 + b**3 + 2*b**3 + 5*b - 5*b - b**3.
54*b**3
Expand (9*b + 2*b - b)*(-174 + 32 + 727).
5850*b
Expand (0 + 1 + 0)*(3*j**4 + 4*j**4 - j**4)*(8 + 84 - 51).
246*j**4
Expand -l + l + 2*l**5 + (5*l**5 - 2*l**5 - 2*l**5)*(348 - 67 + 260).
543*l**5
Expand 0*v**5 + 0*v**5 - v**5 + (508*v + 503*v - 918*v)*(3*v**4 - v**4 - 4*v**4 + (0*v - 3*v + 2*v)*(0*v**3 + 3*v**3 - 2*v**3)).
-280*v**5
Expand (-2 + 7 - 3)*(-10*c - c**3 + 10*c) - 3*c + 3*c - 2*c**3 + (123 + 19*c - 123)*(0 + c + 0)*(2*c - 2*c - c) - c - 2*c**3 + c.
-25*c**3
Expand (-l + 2 - 2)*(-9 - 3 + 3)*(-2 + 2 - l).
-9*l**2
Expand (-46 + 97 - 22*u - 50)*(2 + 0 - 3).
22*u - 1
Expand (-3*l + 3*l + 14*l)*(-2*l + 2*l - 2*l + (2 - 1 + 1)*(-l + 2 - 2)).
-56*l**2
Expand (-70 + 7*k + k - 6*k)*(-2 + 1 + 2).
2*k - 70
Expand (-5*h**4 + 0*h**4 + 4*h**4 + (-h**2 - 2*h**2 + h**2)*(3*h**2 + 8*h**2 - 2*h**2))*(-5*h + 7*h + 6*h)*(1 + 0 + 1).
-304*h**5
Expand (-4 - 3 + 6)*(-k**3 + 2*k**3 + 23*k**3) - 2*k**3 + 3*k**3 + k**3 + (0*k**2 - 2*k**2 + 3*k**2)*(-2 + 2 - 2*k) + 17*k**3 - k**3 + 4*k**3.
-4*k**3
Expand -4*v**2 + 7*v**2 + 4*v**2 + 5*v - 5*v - v**2 + (0*v - 3*v + 5*v)*(-v + 5*v - 2*v).
10*v**2
Expand 2 + 28*j**2 - 4*j**5 + 7*j**4 - 26*j**
|
{
"pile_set_name": "DM Mathematics"
}
|
- 5*z - 22, -2*u - 5*z = -180. Suppose q + u = 3*k, k + q = 2*q + j. What are the prime factors of k?
2, 3, 5
What are the prime factors of (-8 + 12 + -5)/((-2)/1526)?
7, 109
Let i = -2580 + 4767. What are the prime factors of i?
3
Let u = -80 + 114. List the prime factors of 10/(-8)*(12/6 - u).
2, 5
Let r be 20/35 + 30/21. Let s be 104/(-12)*3/r. Let o = s + 57. List the prime factors of o.
2, 11
Let s(w) = 60 - 2*w + 2*w**2 - 54 + 3*w**2. What are the prime factors of s(-3)?
3, 19
Suppose -3*b + 20 = -b - 2*l, l - 5 = 0. Let n = -9 - b. Let g = 57 + n. What are the prime factors of g?
3, 11
Let a(t) = 9*t + 26. Let p be a(8). Suppose -3*f = -5*r + 137, 18 + p = 4*r - 4*f. List the prime factors of r.
5
Let x = -199 + 199. Suppose -5*w + 4 = -6. Suppose 2*f - f - w*q - 52 = x, 0 = q. What are the prime factors of f?
2, 13
Let z(u) = -u**3 - 3*u**2 + 7*u + 15. Let l be z(-4). Suppose -5*a = -3*x - x - 831, 503 = l*a + 2*x. List the prime factors of a.
167
Let c = 1493 + -842. What are the prime factors of c?
3, 7, 31
Let k be (0 - -3) + 8/(-8). Suppose k*i - 4*o - 148 = 0, -3*i + 2 + 184 = 3*o. List the prime factors of i.
2, 3, 11
Suppose -5*q - 4*l = -2*q - 26, -2*l = q - 6. Let x = q - 9. Suppose -i + 4*g = 2*i - 83, -x*i + 150 = 5*g. What are the prime factors of i?
29
Let x = 568 + -348. List the prime factors of x.
2, 5, 11
Suppose -5 = -t + 11. Let i be (-9)/12 - (-1932)/t. Suppose -7*g + i = -3*g. List the prime factors of g.
2, 3, 5
Let q = 53 - 13. Suppose -4*a + 0*a + q = 0. List the prime factors of a.
2, 5
What are the prime factors of ((-302)/(-3))/((3/3)/3)?
2, 151
Let o be -2*(-4 - 20/(-8)). Suppose -4*c - o*c + 1141 = 0. What are the prime factors of c?
163
Suppose -n = 2*y - 6288, -3*n - 2*y = -22566 + 3686. List the prime factors of n.
2, 787
Suppose 0 = -5*f - 3*t + 2012, 4*f + 163 = t + 1759. What are the prime factors of f?
2, 5
Let d be ((-1)/(-3))/((-4)/(-216)). What are the prime factors of (-24)/(-108) + 878/d?
7
Let u(g) = g + 1. Let h be u(2). Let z(q) = 10*q. Let n(f) = 9*f - 1. Let t(i) = h*n(i) - 2*z(i). What are the prime factors of t(3)?
2, 3
List the prime factors of 10/(-4)*(-5356)/130 + -3.
2, 5
Let n(z) = -63*z + 53. What are the prime factors of n(-18)?
1187
Suppose -3*u + 0*u - 3027 = -3*f, 0 = -4*u + 20. What are the prime factors of f?
2, 3, 13
Suppose 3 - 23 = -5*v + 4*j, v - 5*j = 25. Suppose -x + 46 = -v. List the prime factors of x.
2, 23
Suppose 24 = 10*b - 2*b. List the prime factors of b.
3
Let p(f) = f**3 + 5*f**2 - 2*f + 7. Let a(x) = -4*x + 3. Suppose -3*g + 8 = 4*o - 3, -4*o = -5*g - 3. Let s be a(o). What are the prime factors of p(s)?
17
Let p(i) = 4 + 0*i + 1 - i - 4. Let r be p(-7). Let l = 14 - r. List the prime factors of l.
2, 3
Let l = 10 - 5. Let m be 2/l - 4/10. List the prime factors of 2/(1/(7 + m)).
2, 7
Suppose 7*b - 4501 = 1505. List the prime factors of b.
2, 3, 11, 13
Suppose 0 = -12*a + 2830 + 1790. List the prime factors of a.
5, 7, 11
List the prime factors of 112/(-1)*(3 + (-39)/6).
2, 7
Suppose -r + 21*d + 787 = 16*d, -2*r - 2*d = -1538. List the prime factors of r.
2, 193
Let v be -36 + -1*(-6 - -3). Let o = v - -23. What are the prime factors of 2/o - (-336)/30?
11
Let s(m) be the third derivative of m**5/60 + m**4/8 + m**3/6 - 3*m**2. Let o be s(-3). Let v = 23 + o. What are the prime factors of v?
2, 3
Suppose -4*s + 6 = 2*s. Suppose 2*g + 4*k = 70, -2 - s = -k. List the prime factors of g.
29
Let h(d) = -112*d + 54. List the prime factors of h(-3).
2, 3, 5, 13
Let f(n) = n**2 - n + 3. Suppose -3*p + 2*r + 2 = -0, 0 = -2*p + 4*r + 4. What are the prime factors of f(p)?
3
Let u be (0 - 1) + (-2 - -19). Let i = 12 - 3. Suppose -i - u = -5*h. What are the prime factors of h?
5
Suppose 0 = -25*c - c + 15288. What are the prime factors of c?
2, 3, 7
What are the prime factors of 234/6 - (1 + -1)?
3, 13
What are the prime factors of ((-20)/(-25))/2 - 171224/(-40)?
3, 1427
Let a be (-10)/(-6)*(-30)/(-2). Suppose 0 = -5*i + r + 95, 4*r = -i + 3*r + a. What are the prime factors of i?
2, 5
Suppose h = -4*p + 150 + 4, -3*p = 4*h - 590. List the prime factors of h.
2, 73
Suppose -4*a - 19*a + 3772 = 0. List the prime factors of a.
2, 41
Let t be (3/(-1) - -2)*-1 + 215. Suppose -114 = -5*q + t. List the prime factors of q.
2, 3, 11
Suppose -2*b + 4 = -4*u, 0 = -6*u + 3*u - 4*b - 14. Suppose 93 = 9*r + 22*r. List the prime factors of 78/((-3)/(r/u)).
3, 13
Let j(t) be the second derivative of t**4/12 - 13*t**3/6 - 31*t**2/2 + t + 10. List the prime factors of j(16).
17
Let j(y) = -6 - y + 4 + 70*y**3 + 7*y**2 - 33*y**3 - 36*y**3 + 4*y. Let w(a) = -a**2 - 4. Let g be w(0). List the prime factors of j(g).
2, 17
Let w(x) = -8*x + 346. List the prime factors of w(0).
2, 173
Suppose 0 = 2*b, 0 = -4*z + 4*b - 6*b - 36. Let d = z + 12. Suppose -d*p = 4*a - a - 78, 5*a + p = 142. What are the prime factors of a?
29
Suppose -11*m = -5*m - 8190. Suppose -6*c + m = c. What are the prime factors of c?
3, 5, 13
Let j be (2/(-3))/(6/(-18)). Suppose i = -j*z + 4, -5*z + 17 + 6 = -4*i. Suppose -21 = -l - z. What are the prime factors of l?
2, 3
Suppose -3*t + 6 = -3. Suppose 2*i + 31 = t*d, -2*d + 2*i + 4 + 20 = 0. Suppose -b + 14 + d = 0. List the prime factors of b.
3, 7
Suppose -6*h + 615 = 3*r - 2*h, -2*h - 1051 = -5*r. Suppose -7*s + 1156 = -r. Suppose -v + s = 4*v. List the prime factors of v.
3, 13
Let f(g) = 123*g**2 + 14*g - 29. What are the prime factors of f(2)?
491
Let h = -91 + 141. Let q = h - 41. What are the prime factors of q?
3
Let a(q) be the second derivative of q**4/12 - 3*q**3/2 + 7*q**2 + 6*q. Let g be a(6). Let x = g + 8. List the prime factors of x.
2
Let p(j) = j**3 + 13*j**2 - 16*j - 20. Suppose 0 = 3*u + u + 56. Let v be p(u). Suppose 3*x - 3*b = -27 + 87, v = x + 5*b. List the prime factors of x.
2, 3
Let t = 18 - 15. What are the prime factors of 2*(1 + 9 + t)?
2, 13
Let v(j) = 31*j - 88. List the prime factors of v(6).
2, 7
Suppose -5*x = -5*m + 35, 5*m + 0*x - 3*x = 31. Suppose -2*i = -m*b - 6*i + 719, 3*b + i = 437. What are the prime factors of b?
3, 7
What are the prime factors of 21242/38 + 1/(-1)?
2, 3, 31
Let b = -1525 - -3092. What are the prime factors of b?
1567
Let o be (-3 + 9)/6*0/1. Suppose 2*s + s - 5*f - 355 = o, 5*s = -2*f + 540. List the prime factors of s.
2, 5, 11
Let b = -1029 - -1480. List the prime factors of b.
11, 41
Suppose 2*n - 11 = 7. Let y = n + -4. Suppose c = -1, f + 3*c = y*c + 25. What are the prime factors of f?
23
Let f = 34 - 21. Let o(m) = -m + 30. List the prime factors of o(f).
17
Suppose -7*y = -87 + 31. Suppose 35*c = 31*c + y. What are the prime factors of c?
2
Suppose 0 = -4*k + 3*j + 1637, 2*k + 2*k + 2*j - 1622 = 0. What are the prime factors of k?
11, 37
Let z(w) = -140*w - 41. List the prime factors of z(-4).
3, 173
Let h = 717 + -170. What are the prime factors of h?
547
Let k(n) = 3*n**3 - 7*n**2 - 6*n. Let d(i) = 3*i**3 - 6*i**2 - 5*i. Let p(x) = 6*d(x) - 5*k(x). List the prime factors of p(1).
2
Let z(w) = 17*w**2 - 18*w - 1. What are the prime factors of z(18)?
71, 73
Suppose 77*c - 86*c = -43857. List the prime factors of c.
11, 443
Let v be 810/20*1*2. Suppose 0 = b - 2*p - 19, 0*p - v = -3*b - 2*p. Suppose 0 = z - b - 9. What are the prime factors of z?
2, 17
Suppose -2*z + 0*z + 6 = 0. Suppose 4*h + 4*y - 3 = 221, 2*h - 107 = z*y. Suppose h = j + 4*j. List the prime factors of j.
11
Let w be 7 + 0 - (-7 - -9). Suppose -3*p + w*i + 60 = 0, -4*p - i + 128 = 25. Suppose -a - 2*q + p = 0, -q - 5 = -a + 2*q. What are the prime factors of a?
17
Let t(k) = k**2 - 5*k + 5. Let m be t(6). Suppose 0 = -m*x + 9*x + 82. What are the prime factors of x?
41
Suppose -173*i = -168*i + 3*m - 4921, -i + 979 = -2*m. What are the prime factors of i?
983
List the prime factors of (16/(-14))/((-240)/10920).
2, 13
Let z = -75 - -1. Let o = 44 - z. What are the prime factors of o?
2, 59
Let h be 6*(-2 - -17) + -1. Let r = h - 52. Suppose 4*d = -5 + r. List the prime factors of d.
2
Let f(y) = -2*y - 13. Let t = 4 - 4. Let k be f(t). Let h = 16 + k. What are the prime factors of h?
3
Let r = -46 + 51. Suppose -2*i + 4*x + 222 = -100, r*x - 367 = -2*i. List the prime factors of i.
3, 19
Let z(b) = b + 2. Let x be z(5). Suppose -2
|
{
"pile_set_name": "DM Mathematics"
}
|
factor of j and 231.
21
Let j = -5 - 9. Let k be (j/(-4))/((-2)/(-4)). Let s be ((-52)/(-6) + -8)*42. What is the greatest common divisor of s and k?
7
Let p(f) = -f**3 + 9*f**2 + 11*f - 2. Let h be p(10). Suppose -h*m + 4 = -10*m. Let i be 3/(1*m/(-18)). Calculate the highest common factor of i and 3.
3
Suppose 104*k - 645 = 89*k. What is the highest common factor of 387 and k?
43
Let w be (18 - -17)*7*1. Let s = -128 + w. What is the greatest common divisor of s and 78?
39
Let j be (-14)/(-4) - (12/3)/8. Suppose -4*w - p - 4*p = -1005, -15 = -j*p. Calculate the greatest common factor of w and 35.
35
Let t = 23 - 14. Suppose 0 = -5*i + 5*h - 17 - 43, 0 = 5*h + 15. Let c = 87 + i. What is the greatest common factor of c and t?
9
Let z be 2938/13 + 4 + (0 - -6). Calculate the greatest common divisor of z and 12.
4
Suppose -4*w + 3*w + 1 = 0. Let d be -2 + 23 + w + -1. Suppose 3*i + 3*l = 24, -2*i - 5*l + d - 5 = 0. What is the highest common factor of 72 and i?
8
Let v(z) = -z**3 - 10*z**2 - 9*z + 5. Let b be v(-10). Let u = b - -103. What is the greatest common divisor of 18 and u?
18
Suppose -5*c + 3*w = -314, 3*w + 2*w = -2*c + 138. Suppose c = v + 2*v - 4*x, 26 = v + x. What is the greatest common factor of v and 12?
12
Let i = -56 - -96. Let m = 57 - i. Let y = m + -10. Calculate the greatest common factor of 7 and y.
7
Let x be 2 - -9*(-1)/3. Let k be (-16 - -222) + x/(-1). Calculate the highest common divisor of 23 and k.
23
Suppose 60 = 4*f + f - 4*t, -5*t - 60 = -5*f. Let l(o) = o**2 + 9*o + 22. Let d be l(-3). Calculate the highest common divisor of d and f.
4
Let h = 162 + -49. Let n = h + -69. Calculate the greatest common factor of n and 11.
11
Suppose 4716 = 82*g - 79*g. Calculate the greatest common divisor of 12 and g.
12
Let h be 0 - (-4)/1 - -6. Let i = 153 - 63. What is the highest common factor of i and h?
10
Suppose -4*m + 33 = -43. Suppose 4*y - 412 = 348. Calculate the highest common divisor of y and m.
19
Suppose 11*h + 280 = -1183. Let r = h + 134. What is the highest common factor of 17 and r?
1
Let c(v) = -v**2 - 7*v + 4. Let o be c(-7). Let s be -2 + 11 + 1 + 0. Let b(t) = 3*t + 14. Let p be b(s). What is the highest common divisor of o and p?
4
Suppose -w - 3*n - 4 = 0, 2*w - 5*n = -0*w + 25. Suppose 3*x + w*y + 1 = 0, 4*x = -0*x + 5*y + 22. Calculate the greatest common divisor of x and 39.
3
Suppose -6*h = -3*h - 6. Let r(d) = d**2 - 19*d - 112. Let x be r(-5). Calculate the greatest common factor of h and x.
2
Let l(r) = 5*r + 4. Let k be l(3). Let t(c) = 74*c + 1. Let s be t(2). Let q be s + 2 + 0 + 14/14. What is the highest common divisor of k and q?
19
Let f = -4 + 12. Let z = -8 + f. Suppose -4*t = t - m - 11, z = 2*t + 4*m. What is the highest common factor of t and 22?
2
Suppose 5*o - 37 = -3*h, 4*o - h = 28 + 5. What is the greatest common divisor of 248 and o?
8
Let c = 8 + -13. Let t(x) = 3*x**2 - 3007*x**3 + 3*x**2 + 3008*x**3 + 2 + x. Let b be t(c). Calculate the greatest common factor of 11 and b.
11
Let p be -1 + (-404 + -3)/(-5 - -4). What is the greatest common factor of 14 and p?
14
Suppose -9*y = -0*y - 45. Let c be ((-8)/(-12))/(4/30). Let v(h) = h**3 - 4*h**2 - 2*h. Let m be v(c). Calculate the greatest common divisor of y and m.
5
Let l be 286 - (0 + (1 - -3))/(-2). What is the highest common divisor of l and 198?
18
Let s be (-2 + -13)*(-18)/30 - -1. What is the greatest common factor of s and 10?
10
Suppose 5*d + 10 = r, -3*d - 7 = -2*r + 6. Suppose -r*i + 6 = -2*i. Let m be (i*-11)/(26/(-13)). What is the greatest common factor of m and 77?
11
Let s(x) = x**3 - 10*x**2 + 9*x + 8. Let u be s(9). Let l(d) = 3*d - 27. Let t be l(19). Suppose -c = t - 102. Calculate the greatest common factor of c and u.
8
Let u be (-26)/(-8) - (-1)/(-4). Suppose -w = -116 + 108. Suppose -w*p + 80 = -u*p. What is the highest common divisor of 144 and p?
16
Let r(u) = 63 + 7*u - 57 + 5*u**2 - 2*u. Let f be r(-2). Suppose 23 = -3*i + 143. What is the highest common divisor of f and i?
8
Suppose 948 + 1097 = 43*g - 965. Suppose -3*t - 66 = -3*s, 7*s - 52 = 4*s - 4*t. What is the greatest common factor of s and g?
10
Let i(s) = 70*s**2 + 7*s - 7. Let d be i(-4). Suppose -92*k = -97*k + d. What is the greatest common divisor of k and 31?
31
Suppose -4*c = -5 - 7. Suppose 2*m + 5 = c*m. Calculate the highest common factor of 35 and m.
5
Suppose 29*d - 800 = 25*d. Calculate the greatest common divisor of 50 and d.
50
Suppose 0 = -2*t + 11*t - 45. Suppose 0*u + 2*u + t*o - 29 = 0, -o = 4*u - 67. Calculate the highest common factor of u and 68.
17
Let v be (-260)/(-22) - (-2)/11. Let h(y) = 211*y + 2. Let w be h(-1). Let s = w - -317. Calculate the highest common factor of v and s.
12
Let t(o) = -10*o - 10. Let g be t(-8). Suppose -i - g = -215. Suppose 6*x = -5*x + 638. What is the highest common factor of x and i?
29
Let p = 1702 - 1117. What is the highest common divisor of p and 45?
45
Let i(j) = 2*j**2 + 5*j + 3. Let x be i(-3). Suppose 126 = 2*o - 0*o + 3*l, -2*l = 3*o - 184. Let q = 102 - o. Calculate the highest common divisor of q and x.
6
Let y(x) = 24*x**2 - 7*x - 6. Suppose 2*f - w = -13, 4*f + 21 = 3*w - 2*w. Let p be y(f). Calculate the highest common factor of p and 58.
58
Suppose 3*k + 2*l - 18 + 6 = 0, -2*k + 8 = -l. Suppose -3*q + k*o = -614, -o = -0 - 4. Calculate the highest common divisor of 30 and q.
30
Suppose 4*u + 155 = 5*v, -5*v - 95 + 250 = -2*u. Calculate the greatest common divisor of 899 and v.
31
Suppose 0*r + r = 90. Let j be (-1 + (-5)/(-10))/(5/(-600)). What is the greatest common divisor of r and j?
30
Let d = -5 + 34. Suppose 0 = -3*c + d - 2. What is the highest common factor of c and 18?
9
Suppose -4 = 2169*r - 2173*r. Calculate the greatest common divisor of r and 61.
1
Let i(k) be the third derivative of -k**4/8 + 4*k**3/3 - 21*k**2. Let d be i(-4). What is the highest common divisor of 20 and d?
20
Let v = -1 + -3. Let a be 3 + -2 - (1 + v). Let d be (-368)/((-16)/a) - 2. What is the greatest common factor of 18 and d?
18
Let b(o) = 7*o + 5. Let m be b(1). What is the greatest common divisor of m and 124?
4
Suppose -100*z + 64 = -96*z. Calculate the greatest common divisor of 4 and z.
4
Suppose -g - y + 0 + 17 = 0, 46 = 3*g - 2*y. Calculate the greatest common factor of 4 and g.
4
Let y be 22/6 + -3 + (-2)/3. Let o be 6 - (y + (0 - 0)). Suppose -3 = -j + 12. Calculate the highest common divisor of j and o.
3
Suppose s = -s + 112. Let v be ((-84)/(-18))/((-16)/(-24)). Calculate the greatest common divisor of s and v.
7
Let g(s) = -85*s + 77. Let d be g(-2). Calculate the greatest common divisor of d and 13.
13
Suppose 2*y = 5*c - 10*c + 927, 5*y = c - 180. Let v be (-2)/10 + (-23)/((-575)/930). What is the greatest common divisor of c and v?
37
Suppose 0*r = 26*r - 546. What is the highest common divisor of 9 and r?
3
Let f = -30 + 48. Let h be (-6)/(-27) - (-716)/f. Calculate the highest common factor of h and 16.
8
Let n be 2/11 - (-6)/(-33). Let j = 67 + -65. Suppose 0 = 5*m - r - 235, n*m - j*r = 4*m - 202. Calculate the highest common divisor of m and 16.
16
Let b be (9 - 11)/(3/(-6)). Suppose -72 = -2*d - 3*s + 6*s, b*s + 16 = 0. Calculate the greatest common divisor of d and 15.
15
Suppose 0*t = -2*t. Let a = 251 - 249. Suppose t = a*m - 1 - 11. What is the greatest common divisor of m and 4?
2
Suppose 6*l + 4*m = 3*l - 22, -l - 18 = 4*m. Let h be l/(-7) - 104/(-28) - -241. Calculate the highest common factor of 49 and h.
49
Let h be 0/10 + 0/1. Suppose -4*n + 4*r + 664 = 0, h*r = 4*r + 20. What is the highest common factor of n and 23?
23
Let i = -7 - -11. Suppose -d = -0*d + m - 26, -i*m - 112 = -5*d. Suppose -108 + d = -w. What is the greatest common factor of w and 12?
12
Let q(a) = -1 + a + 0 + 2 - 9. Let b be q(8). Suppose -4*l - 5*g = -143, 5*g = -b*l - 5*l + 175. Calculate the greatest common divisor of 4 and l.
4
Let u(r) = r**2 - 2*r - 10. Let m be u(5). Suppose 2*h - 136 = -2*g, -200 = -0*g - 3*g - m*h. What is the greatest common divisor of g and 14?
14
Suppose -f + 2*r + 25 = 0, -5*f + 141 = -5*r - 4. Let v = -96 - -195. What is the highest common factor of f and v?
33
Suppose 0 = 5*j + 1 - 76. Let d = j - 14. Let z be 3/2*(-16)/(-3). What is the highest
|
{
"pile_set_name": "DM Mathematics"
}
|
s + 14*d = 176, -4*s - 5 = 229*d - 230*d for s.
2
Solve 30 = -2*l - f, -4*l - 11 = -f + 45 - 2 for l.
-14
Solve -5*p = 5*s - 50, 2*s - 35 = -p - 29 for p.
14
Solve 3*c = -v - 1, 17*c + 4*v - 12 = 13*c for c.
-2
Solve 2*a - 8*s = -14, -2*a - 25*s - 6 = -29*s for a.
1
Solve -5*p + 33*k + 25 = 31*k, -5*p - 4*k + 55 = 0 for p.
7
Solve -s - 29 + 25 = 0, -2*x = 4*s + 18 for x.
-1
Solve 0 = a + 3*a + 5*v, -2*a + 2 = 3*v for a.
-5
Solve -5*b + 13 = 4*n, 7174*b - 7175*b - 2*n - 1 = 0 for b.
5
Solve -3*o - 7*s + 3931 = 3981, 34 = 5*o - 3*s for o.
2
Solve -5*t + 3*o = -15, 5*t - 1581 = o - 1576 for t.
0
Solve -4*t - 4*w = 12, 47*t + 45 = 44*t + 15*w for t.
-5
Solve -21*t + 25*t - 9 = -5*k, 3*k + t - 4 = 0 for k.
1
Solve -5*b + 29 = 9, -4*x - 47*b + 16 = 54*b - 100*b for x.
3
Solve -5*j - s + 29086 = 29112, -4 = 4*j + 5*s for j.
-6
Solve p + 4*s = 283 - 271, -2*p = -6*s + 18 for p.
0
Solve 0*h - h + 13 = 0, -2*u = u - 49*h + 649 for u.
-4
Solve 125*m - 3*z = 126*m - 57, 2*z = -m + 39 for m.
3
Solve 4*p - 23 = m, 0 = -p - 38*m + 34*m - 24 for p.
4
Solve 2*l + j - 11 = 0, j + 613 = -5*l + 636 for l.
4
Solve g + 2*z = 26, 0 = 3*g + 12840*z - 12846*z + 54 for g.
4
Solve -3*t - 2*b - 7 = 0, 0 = -5295*t + 5298*t + b + 2 for t.
1
Solve -2*l - 22 = 3*h, 0 = -109*h + 111*h - 23*l - 107 for h.
-4
Solve 3*t - 7 = 5045*x - 5047*x, 4*x + 10 = 2*t for x.
-1
Solve 2*a + 3*p = -4, -3*a - 10*p + 28 = -14*p for a.
4
Solve m - 25 = -5*b, 408*b - 411*b - 8 = -4*m for m.
5
Solve 5*q - 3560*o = -3562*o + 14, 3*q = 3*o for q.
2
Solve -2*u - 14*p - 27 = -15*p, -5*p = u - 102 for u.
-3
Solve 4*t + z + 81 = 0, -3*t + 274*z - 51 = 278*z for t.
-21
Solve -5*y + 5*f - 80 + 45 = 0, 4*y = f - 16 for y.
-3
Solve 203*j - 200*j = -g + 1, -g = -3*j + 5 for g.
-2
Solve -223*a + 2*f - 17 = -226*a, 5*a + f = 26 for a.
5
Solve 10597*f - x = 10598*f - 9, 4*f - 44 = -2*x for f.
13
Solve 2*p - 7*g = -3*g + 4, 4*p + 4*g + 16 = 0 for p.
-2
Solve 0*s = 2*s - 6*h + 34, -4*s - 2*h - 12 = 0 for s.
-5
Solve 20 = 5*j, -118*t + 4 = -122*t - 2*j + 4*j for t.
1
Solve 5*m = 81*w - 76*w, 0 = 4*w for m.
0
Solve 0 = 4*z - 4*j - 505 + 501, 0 = -4*z + 3*j + 2 for z.
-1
Solve -4*z = -d - 0*d + 25, 43*z - 38*z + 5*d = 0 for z.
-5
Solve 182*x + 2*v = 185*x - 9, 0 = x + 2*v + 5 for x.
1
Solve 5*w - 276*g + 272*g = -30, 17 = 4*w + 5*g for w.
-2
Solve -5*x = -2*a + 127, x = 5*a + 19233 - 19240 for a.
-4
Solve -3*n + 6 = -m + 1, -m = -1 for n.
2
Solve 2*y = 2*i - 12, 15 = 3*y + 5*i + 9 for y.
-3
Solve -2*m + a = -27, -11*a = -7*m - 7*a + 94 for m.
14
Solve 2*y + 3 = 9*x - 12*x, 5*x + y = -12 for x.
-3
Solve 4*a = 3*j - 2413 + 2378, 5*j + 0*a + a = -3 for j.
1
Solve -q + 5 = 3*w, 24*q + 1 = 27*q - 5*w for q.
2
Solve 3*g - 143*a = -136*a + 40, -a = 3*g + 16 for g.
-3
Solve 18*m = 21*m - 4*r + 1, 0 = -m + 20*r - 75 for m.
5
Solve -p - y - 347 + 350 = 0, -2*y = 3*p - 2 for p.
-4
Solve -4*p + 2*f - 361 = -369, 5*f = -p - 75 for p.
-5
Solve 3*a - 3*f = -0 - 24, 0 = -a + 2*f - 11 for a.
-5
Solve 0 = 5*m + 15*n - 17*n - 10, 8*n = -40 for m.
0
Solve -5*j - d - 23 = 0, -5*j = -d + 45 - 18 for j.
-5
Solve 136 = -2*l + 3*x + 113, 0 = 4*l - x + 31 for l.
-7
Solve 10*x = 5*j + 6*x + 35, 0 = x - 10 for j.
1
Solve 5*a - 2*p + 9 = 0, -5*a - 9520 + 9484 = 7*p for a.
-3
Solve 2 = o - 2*r, -5*r = 206 - 191 for o.
-4
Solve 41 = -k - 3*j + 31, j = 4*k + 1 for k.
-1
Solve -f - 12 + 8 = 0, 0 = -2*o - f - 14 for o.
-5
Solve v + 6*k - 40 = 9*k, -4*v + 3*k + 52 = 0 for v.
4
Solve -167*n = -4*q - 171*n - 24, 3*n = 2*q - 3 for q.
-3
Solve -52*d + 3*a = -50*d - 8, a = 2*d for d.
-2
Solve -x - 901 = -3*i - 929, 10*i = 5*x - 115 for x.
13
Solve 9*s = 5*s + 2*f - 38, -3*s - 28 = -f for s.
-9
Solve -5*w + 178 - 210 = -2*h, w - 5*h + 34 = 0 for w.
-4
Solve 8 = 2*l - 755*x + 751*x, -4*l = -4*x - 8 for l.
0
Solve -l - 3*o = -29, -5*l = -o + 181 - 166 for l.
-1
Solve 5*g = -3*z + 25, 3*g - 15 = 5220*z - 5222*z for g.
5
Solve 46*i + 5*d = 40*i - 8, 5*i - d = 14 for i.
2
Solve -2*b = 0, 2*w + 12 = 3*b + 10 for w.
-1
Solve 5*c + 3*b = 1418 - 1429, c + 3*b = -7 for c.
-1
Solve -2*n = 4*p - 18, -4*p - 228*n = -250*n + 6 for p.
4
Solve -w = 56*o - 54*o, 22*w - 27*w + 14 = -4*o for o.
-1
Solve 3*x - 15 = 10*d - 13*d, 5*x - 17 = -d for x.
3
Solve -7*a + 4*a - 3*b - 18 = 0, 4*b + 6 = 2*a for a.
-3
Solve o - v + 54256 = 54265, 0 = o + 3*v + 3 for o.
6
Solve -4*v = 2*h - 10, 0 = h - 481*v + 479*v + 3 for h.
1
Solve 5*b - 2*w + 4*w = 13, b = -98*w + 109*w + 14 for b.
3
Solve 3*b - 3 = 0, -15 = -5*z + 13*z - 10*z - 5*b for z.
5
Solve 0 = -2*l - 554*w + 555*w - 3, -3*l - w = -8 for l.
1
Solve 416 - 400 = 4*d + 8*z, 3*d = 4*z + 12 for d.
4
Solve -3*b = -5*m - 28 + 11, -15 = -b + 4*m for b.
-1
Solve 2*q - 3*u + 11 = -8*u, 3*q - u = -8 for q.
-3
Solve 30 = -766*o + 770*o + 6*y, 5*o - 2*y = -29 for o.
-3
Solve -5*k - 308*p - 20 = -306*p, -4*k = 3*p + 16 for k.
-4
Solve 16*w - 11*w - 3*w - 16 = -3*j, -5*j + 2*w = 0 for j.
2
Solve 0 = -7*l - 5*w + 36, 29 + 15 = 5*l - w for l.
8
Solve 5*x - 3772 = 5*o - 3777, 3*o + 1 = 2*x for o.
-3
Solve -4*u - 239*i = -243*i + 1 + 7, 14 = -u - 3*i for u.
-5
Solve 2*c + 64 = -u + 69, -2*u + 3*c = 18 for u.
-3
Solve -9*r + 118*n + 5 = 116*n, n + 3 = 4*r for r.
-1
Solve 12*z - 101 = -w - 0*z, 4*w - z - 12 = 0 for w.
5
Solve -9*h - 165 = -3*k, -5*k = -4*h + 8*h + 67 for h.
-18
Solve -167*v + 168*v + 6 = -z, 4 = -2*z for v.
-4
Solve 2*a = 2*g - 2, 3*g + 4 = -g for a.
-2
Solve -12 = -2*o, -o + 18 = -143*u + 146*u for u.
4
Solve 5*y + 2*o = 5, 20*y - 16*y - 4 = 2*o for y.
1
Solve y - 115*g + 111*g = 14, 5*g + 20 = 0 for y.
-2
Solve 5*f = -15*z - 26 + 31, 3*f = 5*z + 11 + 34 for f.
10
Solve 16*q = -2*k + 14*q - 6, -4*k - 14 = 5*q for k.
-1
Solve -3*u = o - 18, -5*u + 20 = -592*o + 597*o for o.
-3
Solve 10*v + 4*g = -62 + 76, -3*v - g + 1 = 0 for v.
-5
Solve -5*k + 118 = -9*m, -3*k - 3384*m = -3386*m - 30 for k.
2
Solve p + 7 = 2*i, 0 = -i - 25598 + 25599 for p.
-5
Solve -3*j - 3*w = -24, -23*j + 4*w = -22*j - 23 for j.
11
Solve -3*o - 881 = -4*d - 905, 2*d = -2*o + 2 for d.
-3
Solve -d + 2*o + 6 = 0, 7*o + 84 - 69 = 5*d for d.
-4
Solve -3*l = 5*x + 33, 0 = 4*x + 26*l + 15 - 83 for x.
-9
Solve 0 = 2*p - 2*x + 10, -5*p + 38*x - 29 = 35*x for p.
-7
Solve 2*z - 7*z = -20, 0 = 12*v + 5*z - 92 for v.
6
Solve 3*n + 8 + 4 = -3*i, -i - 10 = 4*n for i.
-2
Solve -5*x = 5*s + 25, 59*x - 56*x + 15 = 4*s for s.
0
Solve 0 = 4*z + y + 7, -21 = 2*z - 120*y + 117*y for z.
-3
Solve 75*v + 4 = 73*v - 2*d, -2*v + 2*d = -8 for v.
1
Solve -5*c - 59 + 61 = -4*k, -14 = c + 4*k for c.
-2
Solve -85*m + 91*m + 4*q = -8, 3*m - 3*q = -9 for m.
-2
Solve -52*i - 40 = 3*j - 48*i, -50 = -5*j + 5*i for j.
0
Solve m - 2 = 140231*p - 140232*p, -3*m = -2*p - 11 for p.
-1
Solve 5 = -5*i + 5*y, -5*i - 14172 = 3*y - 14151 for i.
-3
Solve -2413 = -5*h - 2*i - 2393, -3*i = 27*h - 69 for h.
2
Solve -6*k = -3*i - 78, 253*k = 250*k - 2*i + 25 for k.
11
Solve -46 + 220 = -3*r - 24*x, 0 = 4*x + 28 for r.
-2
Solve v + 2*c = -166 + 153, 0 = -3*v - 5*c - 31 for v.
3
Solve -3816*z + 5*d + 90 = -3821*z, -3*z = -d - 30 for z.
3
Solve -8 = 4*f + 4*c, -19*c + 14*c + 2 = 27 for f.
3
Solve -8*s = 9*r - 13*s + 38, 2*s + 2 = -5*r for r.
-2
Solve 0 = -0*g - g + 15 - 11, 17*g - 56 = -3*l for l.
-4
Solve 16*q - 11 = 5*y - 2, 4*y + 22 = -2*q for y.
-5
Solve 5*y + 4*h = -0 + 11, -4*y - 5*h = -7 for y.
3
Solve -2*w + 121*a - 117*a = -4, -2*w - 31*a = 101 for w.
-4
Solve 20 = -4*z, 2*n + 424*z - 421*z = 3 for n.
9
Solve -3*j - 27*z - 24 = -25*z, 9*j + 3*z + 54 = 0 for j.
-4
Solve -r + 14 - 12 = -3*m, -14*r = -m + 54 for r.
-4
Solve -12*l + 22 = -80*v + 85*v, 3*l = -4*v + 11 for v.
2
Solve -5*w = -5*z - 15, -2*w + 4 = 4*z + 10 for z.
-2
Solve -3*b + 1431 - 1432 = z, b = 5*z - 27 for z.
5
Solve -42 = 3*j + 11*x, 0 = 46*x - 49*x for j.
-14
Solve -148*x + 143*x = 5*z - 20, -2*z - 1 = 5*x - 3 for z.
6
Solve 34*b + 240 = -5*t, -3*t - 22 = 250*b - 254*b for b.
-5
Solve 3*y - 5*p + 20 = 0, 0 = -5*p + 9*p - 16 for y.
0
Solve 5*a + 6 = -2*h, -116*a = h - 119*a + 3 for h.
-3
Solve 120*l - 125*l + 4*h - 12 = 0, 5*l = -5*h + 15 for l.
0
Solve 5*y + 3*o - 4 = 31, -o - 3 = -2*y for y.
4
Solve 5*v - 2*c + 4 = 25, -v - 5 = -5*c for v.
5
Solve -10 = u - 2206*o + 2208*o, -6 = o for u.
2
Solve -11*w + 66 = -3*a + 127, 4*w - 4*a +
|
{
"pile_set_name": "DM Mathematics"
}
|
Determine p*z(x) + 4*n(x).
-x + 1
Let c(x) = 8*x. Suppose 3*g - 21 = -5*b + 9, -g = 0. Let t(n) be the third derivative of -3*n**4/8 + 3*n**2 + 4652*n. What is b*c(w) + 5*t(w)?
3*w
Suppose -8*i = 1957 - 805. Let z = i + 146. Let f(o) = 4*o**2 - 6*o - 10. Let a(m) = -m**2 + 2*m + 3. What is z*f(q) + 7*a(q)?
q**2 + 2*q + 1
Let q(w) be the first derivative of -w - 1/2*w**2 + 1/3*w**3 + 4. Let g(n) = -6*n**2 + 2*n + 5. Let l be (-7*(-21)/98)/((-15)/(-10)). Calculate l*g(z) + 4*q(z).
-2*z**2 - 2*z + 1
Let b = -18 + 29. Let a(u) = -u. Let x(r) be the first derivative of -5/2*r**2 - 1/3*r**3 + 3 + 0*r. Give b*a(n) - 2*x(n).
2*n**2 - n
Let m(q) = -2*q**2 - 5*q + 3. Let n be m(0). Let v(u) = -u**2 + 8*u + 8*u + 1 + u**n - 17*u. Let w(t) = -4*t**3 + 6*t**2 + 9*t - 6. Calculate -6*v(l) - w(l).
-2*l**3 - 3*l
Let i(h) = -5*h**2 + 26. Let j(f) = 34*f - 67*f + 34*f + 2. Let r be j(10). Let p be (7 - 6) + r/((-1)/1). Let y(k) = 2*k**2 - 9. Calculate p*y(t) - 4*i(t).
-2*t**2 - 5
Suppose -6 = z - 4*s - 13, 5*z + 11 = -3*s. Let l(a) = a**2 + a - 1. Let n(y) = y**2 - y + 5. Calculate z*n(k) - l(k).
-2*k**2 - 4
Let c(a) = 3*a + 3038*a**2 - 3030*a**2 + 0*a. Let u(o) = 105*o**2 + 40*o. Give 40*c(d) - 3*u(d).
5*d**2
Let a(i) = i + 15. Let v(k) = -4*k - 46. Suppose 12470*s - 98 = 12484*s. Calculate s*a(g) - 2*v(g).
g - 13
Let o(b) = b**3. Let v(i) = -i**3. Let s be -1 + 6/3 + -1 + 2. Let l(f) = 2*f**2 + 2 - 5 + 5 + s - 8*f. Let g be l(4). Give g*o(x) + v(x).
3*x**3
Suppose -y + 2 = -2. Let p(d) = d + 2. Let b(q) = 6*q + 12. Let g(i) = 6*b(i) - 39*p(i). Let k(s) = -9*s - 17. Give y*k(h) - 11*g(h).
-3*h - 2
Let y = 5 - -2. Let i(n) = 12*n - 5. Let r(z) be the second derivative of z**3 - 3*z**2/2 - 244159*z. What is y*r(x) - 4*i(x)?
-6*x - 1
Let p(d) be the first derivative of -d**2/2 + d + 2645. Let j(k) = 45*k + 6. What is -j(g) + 6*p(g)?
-51*g
Let o(s) = -34 - 15*s**2 + 6*s**2 + 5*s**2 + 29 + 7*s. Suppose 75*p = 72*p + 9. Let c(j) = 3*j**2 - 6*j + 4. Determine p*c(i) + 2*o(i).
i**2 - 4*i + 2
Let p(r) = r. Let f(i) = 3*i**2 + 4*i + 24. Determine f(d) - 5*p(d).
3*d**2 - d + 24
Let d(g) = 112*g + 1141. Let p(w) = -7*w - 70. What is 6*d(u) + 98*p(u)?
-14*u - 14
Let n(q) = 3*q**2 + 4*q - 6. Let w(k) = -8*k**2 - 11*k + 17. Suppose 4*i - 3*i + 5 + 6 = 0. Determine i*n(y) - 4*w(y).
-y**2 - 2
Let x(t) = 8713*t + 31. Let h(k) = -4362*k - 14. Give -9*h(q) - 4*x(q).
4406*q + 2
Suppose -5*d - 2 - 8 = 0. Let j = -3 - d. Let m(a) = a**2 - a + 1. Let k(y) = 1939*y + 15*y**2 - 11*y**2 + 3 - 973*y - 969*y. What is j*k(u) + 2*m(u)?
-2*u**2 + u - 1
Let g(l) = -l**3 - l**2 - l + 2. Let n(z) = 1159*z**3 - 8*z**2 - 7*z + 14. Determine -7*g(s) + n(s).
1166*s**3 - s**2
Let x(r) = 49*r - 11. Let a(z) = -204*z + 45. Let h(s) = 6*a(s) + 25*x(s). Let m(p) = 10 - 5 + p + 10 - 4*p. Calculate -8*h(c) - 3*m(c).
c - 5
Let h(v) = -2*v - 256. Let g(z) = 8*z + 1023. Determine -3*g(n) - 13*h(n).
2*n + 259
Let d(x) = x**3 + x**2 - x - 4. Let t(z) = -4*z**3 - 5*z**2 + 5*z + 179. Determine -5*d(j) - t(j).
-j**3 - 159
Let t(j) = -90*j**3 + 34*j**2 + 5*j + 1. Let u(p) = 110*p**3 - 36*p**2 - 6*p - 1. Give -6*t(c) - 5*u(c).
-10*c**3 - 24*c**2 - 1
Let g(f) = -10*f**2 + 11*f + 9. Let u(m) = 10*m**2 - 13*m - 6. What is 7*g(r) + 6*u(r)?
-10*r**2 - r + 27
Let d(w) = -2*w + 4. Let l(n) = 52*n - 31. What is 2*d(r) + l(r)?
48*r - 23
Let l(n) = 1204*n**2 - 4*n + 5. Let r(q) = -1207*q**2 + 5*q - 6. Give -5*l(s) - 4*r(s).
-1192*s**2 - 1
Suppose r = -4, -7*r + 1 = q - 6*r. Let l be (12/(-2) + 5)*3. Let a(t) = 15*t + 5. Let b(j) = 1 + 10*j + 13*j - 15*j + 2. Calculate l*a(f) + q*b(f).
-5*f
Let r(q) = -14 - 11 - 13 + 3*q + 33. Let p(k) = 12*k - 13. Let h(x) = -6*x + 7. Let n(t) = -9*h(t) - 4*p(t). Determine 4*n(a) - 9*r(a).
-3*a + 1
Let t be (10 - -6 - -6)*1. Suppose u - 5*n - 59 = -2*u, n - t = -2*u. Let w(m) = -4*m + 9. Let j(q) = -9*q + 19. Give u*w(h) - 6*j(h).
2*h + 3
Let k(p) = -2*p**2 + 4746*p - 413. Let c(l) = -2*l**2 + 4747*l - 354. Determine -7*c(v) + 6*k(v).
2*v**2 - 4753*v
Let m(d) = 5*d**3 - 131*d + 11. Let j(u) = -2*u**3 + 44*u - 4. Let w be (-7)/(-35) - 4*56/20. Calculate w*j(q) - 4*m(q).
2*q**3 + 40*q
Let l(x) = -4*x**2 - 15*x + 3. Let i(v) = -v**2 - 268 - v - 4*v + 269 + 5*v. Calculate 2*i(z) - l(z).
2*z**2 + 15*z - 1
Let c(g) = -3*g**2. Let r(n) = -25*n**2. Let a be (-5652)/(-180) - (-3)/5. Suppose 5*t = 4*d - a, 3*d - d - 2*t = 14. Give d*r(o) - 24*c(o).
-3*o**2
Let f(i) = -3*i**3 - 9*i**2 - 6*i - 2. Let d(j) = -6*j**3 - 19*j**2 - 13*j - 4. Let w(u) = u**3 - 9*u**2 - 41*u + 382. Let z be w(9). Calculate z*f(l) - 6*d(l).
-3*l**3 - 3*l**2 - 2
Let n(a) = -15*a + 5. Suppose 16*g + 561 - 641 = 0. Let y(q) = 30*q - 9. Determine g*n(i) + 3*y(i).
15*i - 2
Let g(p) = -6*p**2 - 2*p - 1. Let u(l) = -11*l**2 + 3222*l - 2 + 3249*l - 6476*l. Give 7*g(x) - 4*u(x).
2*x**2 + 6*x + 1
Let h(x) = -108*x + 20. Let g(s) = 4*s - 5. Determine 24*g(n) + 6*h(n).
-552*n
Let x(u) = 4*u**2 + 40. Let b(l) = -4*l**2 - 43. What is 5*b(w) + 6*x(w)?
4*w**2 + 25
Let f(t) = -3*t - 3 + 2*t + 2*t. Let j(n) = n - 3. Suppose 2*y = -5*u + 26, 0 = 516*u - 511*u + y - 28. Calculate u*j(a) - 5*f(a).
a - 3
Let i(x) = -14*x - 10949. Let k(n) = 3*n + 1. What is i(r) + 4*k(r)?
-2*r - 10945
Let u(m) = m. Let r(j) = -j + 27. Let n(o) = -20*o + 470. Let l(t) = n(t) - 17*r(t). Give -l(x) - 4*u(x).
-x - 11
Let m(d) = 14*d + 3. Let b = 3213 + -3210. Let y(l) = 42*l + 10. Determine b*y(k) - 10*m(k).
-14*k
Suppose 19*g + 40 + 36 = 0. Let d(o) = -2*o + 7. Let h(b) = -1. Determine g*h(q) - d(q).
2*q - 3
Let r(z) = 13*z**3 - z. Let f(a) = 79 + a - a**3 - 189 + 110. Give 2*f(s) + 2*r(s).
24*s**3
Let h(z) = -47*z. Let d(r) = -1180*r - 1. Give -d(t) + 5*h(t).
945*t + 1
Let s(q) = 186*q + 748. Let y be s(-4). Let i(l) = -1. Let n(f) = 4*f**3 + 22. Give y*n(h) + 88*i(h).
16*h**3
Let d(m) = -13*m + 2. Let y(v) = v**3 - 12*v**2 + 37*v - 34. Let t be y(8). Let c(x) = -12*x + 1. Calculate t*c(f) - 5*d(f).
-7*f - 4
Let k(d) = -20*d + 8. Let m(c) = 56*c - 24. Let l(s) = -8*k(s) - 3*m(s). Let n(v) = 1. What is -l(t) + 2*n(t)?
8*t - 6
Let o(j) = 6*j + 5. Let p(x) = x + 1. Suppose 0 = 3*i + 399 + 66. Let n = i - -156. Give n*o(z) - 5*p(z).
z
Let g be 14*(3 - 488/56 - -6). Let t(h) = 35*h**2 - 3*h - 7. Let b(m) = 17*m**2 - 2*m - 4. What is g*t(u) - 7*b(u)?
21*u**2 + 2*u
Suppose -a + 0 = -1. Let o = 81 - 82. Let z(c) be the third derivative of -c**4/24 - c**3/6 - c**2 - 333. Let j(r) = -1. What is a*z(n) + o*j(n)?
-n
Let t(j) = 2*j**3 + 15*j**2 - 3*j + 6. Let a(p) = 12*p**3 + 91*p**2 - 19*p + 37. What is 2*a(d) - 13*t(d)?
-2*d**3 - 13*d**2 + d - 4
Suppose -4*f = -3*c - 21, -101*f + 106*f = -3*c - 21. Let d(y) = 2*y**2 + 17*y. Let i(x) = x**2 + 9*x. Give c*i(a) + 3*d(a).
-a**2 - 12*a
Let m(h) = -2*h**3 + h + 1. Let w be m(3). Let z be (-3514)/70 + (-4)/5. Let x = z - w. Let i(o) = o**2 + o. Let a(g) = 4*g**2 + 3*g + 3. Give x*a(r) + 3*i(r).
-r**2 - 3
Let a(f) = 3*f**3 - 7*f**2 + 2*f + 249. Let d(z) = 10*z**3 - 24*z**2 + 7*z + 745. What is 14*a(y) - 4*d(y)?
2*y**3 - 2*y**2 + 506
Let x(r) = 3*r**2 + 3 - 6 + r**2 - 7*r**2. Let m be ((-5)/(-65))/((-25)/975). Let b(t) = t**3 + 4*t**2 + 4. Determine m*b(v) - 4*x(v).
-3*v**3
Let c(o) = o**2 + 3. Let l = 15596 + -15598. Let t(q) = 5*q**2 - q + 13. Give l*t(r) + 9*c(r).
-r**2 + 2*r + 1
Let m(i) = -43*i**2 - 2*i + 187. Let d(t) = -29*t**2 - t + 188. Calculate -3*d(k) + 2*m(k).
k**2 - k - 190
Let r = -387 + 484. Let m(o) = 112*o**2 + 0*o**3 - 4*o - 9*o**3 - r*o**2. Let b(j) = -5*j**3 + 8*j**2 - 2*j. Give 11*b(n) - 6*m(n).
-n**3 - 2*n**2 + 2*n
Let f(x) = 640*x - 6. Let q(p) = -631*p + 8. Determine -3*f(a) - 2*q(a).
-658*a + 2
Let u(d) be the second derivative of -d**4/12 - d**3/6 - d**2/2 + 498*d - 1. Let q(z) = -15*z**2 - 6*z - 3. What is q(k) - 6*u(k)?
-9*k**2 + 3
Let o(t) = -16*t**2 + 236*t + 370. Let k(r) = 3*r**2 - 44*r - 74. What is -11*k(x) - 2*o(x)?
-x**2 + 12*x + 74
Let b(g) = -641170*g + 33050. Let x(q) = 19*q - 1. Give b(v) + 33050*x(v).
-13220*v
Let l(s) = 8*s + 35. Let j(h) = -7*h - 39. Give -9*j(t) - 8*l(t).
-t + 71
Let f(k) = -66520113*k**2 - 31595*k - 695090. Let n(x) = 6316*x**2 + 3*x + 66. Give 3*f(c) + 31595*n(c).
-6319*c**2
Let y(c) = 1557*c + 6. Let u(a) = -1589*a - 7. Give 4*u(k) + 5*y(k).
1429*k + 2
Let u(x) = 94*x
|
{
"pile_set_name": "DM Mathematics"
}
|
e 2*u + 2 = 6. Find the third derivative of 0*p**2 + 3*p**4 - 2*p**2 + 11*p**2 + 2*p**u wrt p.
72*p
Let x(p) = p**2 + 5*p + 5. Let u be x(-5). Let l be 0 - (-2 + (-2 - -2)). What is the third derivative of -l*n**2 + n**2 - n**2 - 2*n**u wrt n?
-120*n**2
Differentiate -77*g + 76*g + 21*g**3 - 97 - 9*g**3 wrt g.
36*g**2 - 1
Let l = -60 + 91. Find the second derivative of 7*h + 16*h**3 - l*h**3 + 2 - 2 wrt h.
-90*h
Let u(n) = 276*n**3 - 1497*n**2 - 7. Let i(d) = 141*d**3 - 748*d**2 - 4. Let a(s) = -7*i(s) + 4*u(s). What is the third derivative of a(j) wrt j?
702
Let q(r) = -79*r**2 - 2*r + 937. Let w(p) = -158*p**2 - 3*p + 1875. Let n(b) = -7*q(b) + 4*w(b). What is the first derivative of n(m) wrt m?
-158*m + 2
Suppose w = 5*d - 33, 4*d - 56 = 5*w - 17. Suppose 3 = 3*q - d. Find the second derivative of 3*h - q*h**3 + 5*h**3 - 3*h + 5*h wrt h.
12*h
Let t(h) be the second derivative of -4*h**3/3 + 35*h**2 - 5*h + 6. Differentiate t(k) wrt k.
-8
Let l(p) = -1 - p**2 + 7*p + 10*p**2 + 9*p**2. Let n(t) = -18*t**2 - 6*t + 1. Let g(c) = -6*l(c) - 7*n(c). Differentiate g(i) with respect to i.
36*i
Let x(i) be the third derivative of -103*i**5/10 - i**4/6 + 5*i**3/6 + 68*i**2 + i. What is the second derivative of x(g) wrt g?
-1236
Let p(o) be the second derivative of -o**7/840 - o**5/24 + o**3/2 + 11*o. Let g(u) be the second derivative of p(u). Find the second derivative of g(f) wrt f.
-6*f
What is the second derivative of -3 - 2*p - 4*p**4 + 24*p**4 - 69*p**4 wrt p?
-588*p**2
Suppose 23 = 4*v + 11. What is the derivative of -46 + 6*n**3 + 24*n**3 - 4*n**v + 2*n**3 wrt n?
84*n**2
Differentiate -196*u - 189*u + 670 + 40*u**3 + 2*u**4 + u**4 + 385*u with respect to u.
12*u**3 + 120*u**2
Find the first derivative of 115 - 9*l**2 - 25*l**3 - 6*l**3 + 10*l**4 + 31*l**3 wrt l.
40*l**3 - 18*l
Let t(q) be the first derivative of 31*q**4/4 - 96*q - 136. Find the first derivative of t(g) wrt g.
93*g**2
Let r = 276 - 274. Let v(t) be the first derivative of 0*t**5 + 1/3*t**6 + 0*t**3 + 0*t + 3 + 0*t**4 + r*t**2. Find the second derivative of v(i) wrt i.
40*i**3
Let d(a) be the third derivative of -a**10/420 - a**6/40 + 2*a**3 - 4*a**2. Let y(g) be the first derivative of d(g). Find the third derivative of y(r) wrt r.
-1440*r**3
Let n(g) be the third derivative of -g**9/168 + g**8/168 + 13*g**5/10 - g**3/6 - 3*g**2. Find the third derivative of n(x) wrt x.
-360*x**3 + 120*x**2
Let g(f) = -17*f**5 + 5*f**4 + 29*f + 5. Let q(k) = 18*k**5 - 4*k**4 - 29*k - 4. Let s(a) = 4*g(a) + 5*q(a). What is the second derivative of s(n) wrt n?
440*n**3
Find the third derivative of -783*y**5 - 347*y**2 + 1536*y - 769*y - 767*y wrt y.
-46980*y**2
Let h(p) be the second derivative of 41/12*p**4 + 0 + 0*p**2 + 38*p - 5/2*p**3. What is the second derivative of h(r) wrt r?
82
Let s(i) be the first derivative of -49*i**4/12 - 19*i**3/2 - 46*i - 43. Let r(t) be the first derivative of s(t). Find the second derivative of r(q) wrt q.
-98
Suppose -8 = c + 3*c - 4*w, -5*c + 4*w = 6. Find the third derivative of -3*a**c - 3*a**4 - 3*a**4 + a**2 + a**4 wrt a.
-120*a
Let d(a) = -a**3 - 42*a**2 - 3*a - 135. Let o(n) = n**3 + 40*n**2 + 2*n + 134. Let r(s) = 2*d(s) + 3*o(s). Differentiate r(l) with respect to l.
3*l**2 + 72*l
Let y(z) = -9 + 0*z - 7*z + 5*z. Let r be y(-6). Find the second derivative of -90 - 3*b**r - 8*b + 90 wrt b.
-18*b
Let f(v) = 71*v**4 - 7*v**3 - 5*v**2 + 177. Let s(b) = -36*b**4 + 4*b**3 + 3*b**2 - 89. Let d(g) = -4*f(g) - 7*s(g). What is the first derivative of d(a) wrt a?
-128*a**3 - 2*a
Let b(o) be the second derivative of -o**5/4 + 4*o**3/3 - 133*o**2/2 + 60*o - 2. What is the derivative of b(j) wrt j?
-15*j**2 + 8
Let c be 16/9 - -3*(-10)/(-135). What is the third derivative of -3*t**4 - 20*t**c - 5*t**4 + 7*t**4 wrt t?
-24*t
Let r(o) be the second derivative of 89*o**4/12 + o**3/2 + 3*o**2/2 + 10*o. Find the second derivative of r(g) wrt g.
178
Let l(m) = -m**4 - 20*m - 179. Let d(q) = 3*q**4 + 43*q + 358. Let k(v) = 2*d(v) + 5*l(v). What is the derivative of k(o) wrt o?
4*o**3 - 14
Find the third derivative of v**5 + 33*v**6 + 10*v**2 + v**2 + 32*v**2 - 3*v**5 wrt v.
3960*v**3 - 120*v**2
Let d be (1/(-3)*2)/((-32)/96). Let j(t) be the second derivative of 1/2*t**4 + 0*t**3 + 0 - 6*t - 5/2*t**d. What is the first derivative of j(o) wrt o?
12*o
Let b(n) be the second derivative of 0*n**3 + 0 + 2*n**2 - 1/4*n**4 - 12*n. Find the first derivative of b(u) wrt u.
-6*u
Let o(l) be the third derivative of 29*l**9/504 + l**7/30 - 23*l**5/15 - l**4/24 - 542*l**2. What is the third derivative of o(u) wrt u?
3480*u**3 + 168*u
Let h = 2 - -2. Let i be ((-10)/h)/(1/(-2)). Find the third derivative of -3*g**2 + 0*g**5 + 7*g**i - g**2 wrt g.
420*g**2
Let r(x) = 50*x**2 + 40*x - 6. Let d(h) = -102*h**2 - 81*h + 11. Let q(i) = -6*d(i) - 11*r(i). What is the second derivative of q(p) wrt p?
124
Find the first derivative of -5*v + 6*v + 3*v**2 + 3 + 23*v + 7*v wrt v.
6*v + 31
Let n = -12 + 23. What is the second derivative of -4*c**4 - 3*c**2 - 5*c**4 - n*c + 3*c**2 wrt c?
-108*c**2
Let c(f) = 259*f**3 - 160*f**2 - 14*f - 7. Let p(b) = 259*b**3 - 160*b**2 - 12*b - 6. Let w(g) = 6*c(g) - 7*p(g). What is the third derivative of w(u) wrt u?
-1554
Let d(x) = -13*x**3 - 8*x**2 + 5. Let z be d(-3). Find the third derivative of 40*f**4 + z + 7*f**2 - 285 - 4*f**2 wrt f.
960*f
Let h(a) be the first derivative of a**4/2 + a**2 + 5*a + 6. Let k(n) be the first derivative of h(n). Find the first derivative of k(b) wrt b.
12*b
Suppose -2*y + x + 8 = 0, 13*y - 8*y + x - 20 = 0. Let z(q) be the second derivative of y*q - 1/2*q**3 + 0 - 3/2*q**2. Differentiate z(f) wrt f.
-3
Suppose -a + 8 - 19 = -3*n, 5 = 5*n + a. What is the third derivative of 18*z**3 - 16*z**5 - 18*z**3 + 8*z**n wrt z?
-960*z**2
Let t(d) = 3*d + 6. Let i be t(0). What is the third derivative of -20*k**2 + 20*k**i - 6*k**6 - 4*k**2 wrt k?
1680*k**3
Let n(v) be the second derivative of -65*v**7/42 + 9*v**4 + 3*v - 8. What is the third derivative of n(p) wrt p?
-3900*p**2
Differentiate -51*v + 49 - 39*v + 2*v with respect to v.
-88
What is the second derivative of 14*o - 5 - 8*o + 181*o**2 + 12*o + 11 wrt o?
362
What is the first derivative of -13*v**4 + 35 - 14*v**4 + 9 - 11*v**4 wrt v?
-152*v**3
Let v(d) be the third derivative of 49*d**5/60 + 67*d**3/6 + 6*d**2. What is the first derivative of v(k) wrt k?
98*k
Let j(i) be the third derivative of 0*i**5 - 2/3*i**4 + 0*i**3 + 0*i + 30*i**2 - 1/210*i**7 + 0 + 0*i**6. Find the second derivative of j(b) wrt b.
-12*b**2
Let s(r) be the third derivative of 0*r**3 - 1/112*r**8 + 0*r**6 + 0*r**4 + 8*r**2 + 0*r**7 + 0*r + 1/5*r**5 + 0. Find the third derivative of s(n) wrt n.
-180*n**2
Let v(w) be the third derivative of -187*w**6/60 - w**5/30 - 275*w**4/24 - w**3/3 - 819*w**2. Find the second derivative of v(i) wrt i.
-2244*i - 4
Find the third derivative of 199*d**5 - d**3 - 200*d**5 + 217*d + 3*d**3 - d**2 + 144*d**4 - 2*d**3 wrt d.
-60*d**2 + 3456*d
Let f(l) = 5 - l**2 - 4 + 2*l**2. Let h(b) be the first derivative of b**4 - 2*b**3 + 3*b - 49. Let u(i) = -6*f(i) - h(i). What is the derivative of u(s) wrt s?
-12*s**2
Let k(i) = 152*i**4 + 168*i**2 + 8. Let h(m) = -101*m**4 - 112*m**2 - 5. Let b(s) = 8*h(s) + 5*k(s). What is the third derivative of b(x) wrt x?
-1152*x
Let c(l) = -105*l**2 - 2*l + 26. Let v(h) = 209*h**2 + 3*h - 57. Let p(x) = -9*c(x) - 4*v(x). What is the second derivative of p(m) wrt m?
218
Suppose 0 = -s + 20 + 3. What is the second derivative of 48*h + 9*h**2 + 0*h**2 + 6*h**2 - s*h wrt h?
30
Let k(s) be the second derivative of -s**8/28 - 13*s**7/14 + s**4/6 - 18*s**2 + 2*s - 40. Find the third derivative of k(w) wrt w.
-240*w**3 - 2340*w**2
What is the second derivative of 132*x**4 + 197*x**4 - 62*x**4 + 309*x + 45*x**4 - 879*x wrt x?
3744*x**2
Let q(f) = -10*f**3 + 3*f**2 - 2*f + 37. Let t(d) = -9*d**3 + 2*d**2 - d + 36. Let p(s) = 4*q(s) - 6*t(s). Differentiate p(o) with respect to o.
42*o**2 - 2
What is the third derivative of 55*j - 8*j**3 - 16*j**2 + 12*j**2 - 193*j**4 - 14*j + 8*j**3 wrt j?
-4632*j
Let y = 1971 - 1957. Let g(n) be the first derivative of 0*n**4 - 10*n - 7/5*n**5 + y + 0*n**2 + 0*n**3. What is the derivative of g(c) wrt c?
-28*c**3
Let f(w)
|
{
"pile_set_name": "DM Mathematics"
}
|
*y + a, 0 = -4*z + 5*y + 11 for z.
-1
Suppose 5*n = -2*j - 0 + 28, -4*j = 3*n - 14. Let k be (-2)/1 - (-60)/n. Let c be (-8)/32 + 138/k. Solve -3*g - x - c = -0*x, 2*g + x + 12 = 0 for g.
-5
Let f(s) = -s**3 + 6*s**2 - 4*s - 1. Let u be f(4). Let z = 11 - 8. Let r = 0 + z. Solve -m + 0 = b + r, 4*b - 5*m = u for b.
0
Let l(z) = -21*z**2 - 7*z + 15. Let v(u) = 11*u**2 + 4*u - 8. Let g(j) = -6*l(j) - 11*v(j). Let d be g(-1). Solve 3*h - d*w + 3 = 0, -4*h + w + 7 = -2*w for h.
4
Let s(z) = -5*z - 3. Let i(c) = -6*c - 4. Suppose l + 7 = 3. Let j(u) = l*s(u) + 3*i(u). Let b be j(2). Solve 2*w = -2*w - t + b, 8 = 2*w + 2*t for w.
0
Suppose 0 = -h - 40*v + 43*v - 1, -2*h - v = -12. Solve -5*r + 19 = -n, -h*n + 2*n - 2*r = -11 for n.
1
Let i be 0 + 3 + (-1 - 0). Let a be (24/(-10))/(5/(75/2)). Let n be 3/a*-2 - 33/(-9). Solve -4*j - n - i = -2*m, 5*j = -3*m + 20 for m.
5
Suppose -4*y + 2 + 22 = 0. Suppose y*g = -3*g + 5*g. Solve -3*q - 5 = 5*v - g*v, -16 = -3*v + 2*q for v.
2
Suppose 5*p = -4*f + 7, -5*p + 2*f + 12 = -7. Let o be (2 + 5 - 1) + 2. Suppose 5*b - o = p*b. Solve 0 = -4*z - 4*k + 4, b = z + 3*z - k for z.
1
Suppose -5*q + 5 = -0*q. Let s be ((-5)/(-15))/(q/81). Suppose -s*v + 8 = -23*v. Solve -j + v*j = -t, -t - 2*j + 1 = 0 for t.
-1
Suppose 4*d + g = 4*g - 9, -3*g - 12 = 3*d. Let a be 4 + (-1 + d - -3). Let i be a + 16 + 3 - -3. Solve 4*m + 0*m + v + i = 0, v = -m - 10 for m.
-5
Let j(d) = -d**3 + 2*d**2 + 2*d + 1. Let n = 6 - 1. Suppose 1 = n*p + 6. Let h be j(p). Solve -2*x - 2*o = -h, -11 = -x - o - 2*o for x.
-4
Suppose 11 = -4*l - 1. Let p be l*(24/(-9) - -2). Let y be (18/45)/(6/15). Solve 0 = 5*g + z + 2, 0 = -5*g - p*z + y - 0 for g.
-1
Let d(z) = -z**2 + 7*z + 8. Let q be d(8). Let r = 18 - 14. Let n = r + q. Solve 3*v = -4*j - n, 0*v - 8 = 4*j + 4*v for j.
2
Suppose 99*s - 103*s + 76 = 0. Suppose -22 = -z + s. Solve 0 = 4*w + 6*m - 4*m + 28, -4*m = 5*w + z for w.
-5
Let u = 99 - 206. Let r = u - -109. Solve 0*t - 9 = -2*h - t, 18 = 5*h - r*t for h.
4
Let s(g) = g**2 + 17*g + 47. Let y be s(-3). Solve -y*r + 3 = 4*x, 5*x + 2*r + 9 = -0*r for x.
-3
Let n be (-1)/(-2)*-2*0/(-7). Solve -6 = s + s - 2*y, -4*s - 3*y + 2 = n for s.
-1
Let l(k) = 0*k + 8*k - 7*k + 14. Let o be l(-10). Let z(w) = -2*w - 5. Let c be z(-5). Solve -c*n - 3 - o = -d, -n - 14 = 4*d for n.
-2
Suppose 4*a - 5*i = -i + 28, 2*a - 4*i = 12. Suppose 8*n - 80 = a. Let s = n + -8. Solve -z + 3*z + 19 = -s*l, -2*l - 10 = 0 for z.
-2
Suppose 13*f + 105 = 8*f. Let h = f + 22. Solve -l - 4*o - h = 5, 0 = -3*o - 3 for l.
-2
Let s(v) = -3*v - 22. Let g be s(-8). Suppose 20 = -4*m, -13 + 5 = w + g*m. Solve -w*h = 4*n - 0*h, 5*n + 3 = -h for n.
-1
Let z(y) = -43*y + 8. Let l be z(2). Let v = -74 - l. Solve 5*c = v*n + 17, -3*c = -4*n - 10 + 3 for c.
5
Let v be (-15)/5*(2 + -1). Let y = 23 - 18. Let c = v + y. Solve -3*b + 3*s = c*s - 11, s + 7 = 2*b for b.
4
Let k(a) = 4*a + 41. Let i(r) = r**2 + 8*r - 1. Let d be i(-4). Let q be k(d). Let z = q - -30. Solve z*b + 5 = 2*n, -1 = 3*b - 4 for n.
4
Let j(m) = -m**3 - 2*m**2 + 3*m. Let k be j(1). Solve -13 = 5*u - 2*i, -5*u - 3*i + 5 + 2 = k for u.
-1
Let u be ((-2)/2)/(4/(-16)). Solve 5*w = -u*j - 16, 2*j + w = -3*w - 14 for j.
1
Let x(n) = n**3 + n**2 - n + 4. Let i(m) = m**3 - m**2 - 3*m + 2. Let o be i(2). Let t be x(o). Solve 12 = -6*u + 4*u + 3*b, -5*u + t = b for u.
0
Suppose 0 = l - 15 - 15. Suppose -4*z = -9*z + l. Solve 5*p - 21 = -2*j, j + z = -2*j + 5*p for j.
3
Suppose 5*j + c = 142 + 144, 5*c = -4*j + 212. Suppose j - 54 = a. Suppose a*y = y + 6. Solve 0 = -3*w + x - 14, y*w + 1 + 1 = -3*x for w.
-4
Suppose -z = u - 6, 5*z = 4*u - 22 - 2. Solve 5*p - p - 2*y + 4 = 0, -3*p - 3*y = -u for p.
0
Suppose -r + 5 - 4 = 0. Let y = -16 + 4. Let c = y + 19. Solve -5*j - 10 = -3*n, j + n - c = -r for j.
1
Let y = -112 - -118. Let t be y/(7 - 4/1). Solve -g - 16 = 5*p + t, 4*p + 22 = 3*g for g.
2
Suppose 5*o + 40 = 5*q, -4*o = 3*q - 2 + 13. Solve q*z + 2*m + 15 = 0, -z - 3 = -2*m + 2 for z.
-5
Let b = -162 + 165. Solve -3*w + b*f - 29 + 8 = 0, 0 = 2*w - f + 10 for w.
-3
Suppose 24 = 75*p - 69*p. Solve 5*i + 3*q + 18 = 0, p*i + 2*q = q - 13 for i.
-3
Let o(p) = -p**2 - 4*p - 3. Let n be o(-2). Let l be ((-6)/18)/(n/(-15)). Solve 5*z - 10 = -l*m, -4*m + 32 = -2*z - 2*z for m.
5
Suppose -186 = 5*d + 3*z, 0 = 2*d - z + 78 - 8. Let x be 13/(-5) - d/60. Let b be (10 - x)/4*1. Solve 5*p = -4*w, -w = b*p + 4*w - 13 for p.
-4
Let r(q) = 2*q - 25. Let d be r(18). Let j(x) = x**2 - 6*x - 24. Let b be j(d). Solve -2*v + 5*g + b = 0, -26 = -2*v + 2*g + 2*g for v.
3
Suppose -5*d + 20 = 5, 3*d - 11 = -2*y. Solve 4*c = -5*r - 3, -y = -r - 5*c + 11 for r.
-3
Suppose 0 = -3*d + 4*d + 9. Let i = d + 7. Let c be (2 - (i - -1))*1. Solve -c*b = -k, -2*k = 4*b + 3*k for b.
0
Suppose -6*s - 3*s + 45 = 0. Suppose -2*h + s*h = 12. Solve 5*d - 3*z = h + 10, d + 5 = -2*z for d.
1
Let n(f) = f**2 - 21*f - 68. Let t be n(24). Solve -5*v - 41 = t*j, -j = 5*v + j + 33 for v.
-5
Let p be (-72)/(-7) - (-22)/(-77). Let t be p/40 - (-30)/8. Let o = 7 - 1. Solve -b + 2 = -3*h - 0*h, t*b = 5*h - o for h.
-2
Let t be 1 + -1 + 0 + 0. Let i be 10/1*((-2)/1)/(-2). Suppose -5*b = i, -l - 3*l + 5*b + 58 = t. Solve 2*d = q, 8*d - 4*d + q = -l for d.
-2
Let d(j) = -j**2 + 10*j - 11. Let p be d(10). Let v = p + 13. Suppose -2*k + v = -2. Solve 5*t - c = -6, 1 = -k*t - c - 0*c for t.
-1
Let g be ((-2)/4)/(12/(11 + -611)). Solve 4*n - 3 - 17 = -4*b, 3*b = -5*n + g for b.
0
Let x be ((-9 - -6) + 13)/2. Solve 4*p - 13 = 4*j - x, 4*p = -3*j + 1 for j.
-1
Let g be -2*(-1 + 4 - 4). Let f be (-1 - 2 - g)*-4. Solve f = -5*n, -5*n + 2*n - 13 = r for r.
-1
Suppose -2*s = f - 5, -2*s - 4*f - 431 + 451 = 0. Solve s = -4*p + 2*z + 14, -p + 4*z - 11 + 32 = 0 for p.
1
Let i(o) = -o**3 - 16*o**2 - 23*o + 75. Let t be i(-14). Solve 2*a + a + 5*v = 15, -v = -t*a + 25 for a.
5
Let s be 308/7*(2 - 3). Let q = -40 - s. Suppose -m - 5 = -u - 0*m, -4*u = m - 20. Solve 2*g = u*l - g - q, 4*l + 4*g + 16 = 0 for l.
-1
Let g(b) = -b**3 + 3*b**2 + 2*b - 2. Let f = 3 - 0. Let v be g(f). Suppose 10*p = -7*p + 51. Solve s = v*u + 11, -p*s = -2*s + 3*u + 17 for s.
-5
Suppose 113 + 119 = 8*u. Let v = -20 + u. Suppose -v*y = -11*y. Solve -2*n - 2*o + 4 = -0, 5*n + 4*o - 13 = y for n.
5
Let t be ((-52)/16)/((-1)/4). Let u = t + -12. Suppose 5*f = -2*v - 10, -3*v = 3*f + u + 5. Solve v*w - w - 4*n + 21 = 0, n = 4 for w.
5
Let p be 4/(-6)*(-1 + (-93)/6). Suppose -4*i = -16, -g - 2*i = 1 - p. Solve -3*z = -2*y + 4, -g*z - 3 = 2*z - 5*y for z.
-2
Suppose 5*k - c = 20, 4*k - 3*c - c = 16. Solve 0 = -4*l - 3*h - 10, 5*h = -l + k*h - 3 for l.
-1
Let k = -64 - -64. Let p be k*(2/(-13) - 357/(-546)). Solve 3*f + 6 = -j - p, -j - 12 = 5*f for j.
3
Let k be (-1)/(76/20 - (-4)/(-1)). Solve 4*m = 6*m + 4*i, 5*m + 15 = k*i for m.
-2
Suppose -67*x + 5*x = -806. Solve -2*z - x = a - 2*a, 0 = 2*z - 2*a + 18 for z.
-4
Let f = -356 + 361. Solve f*o + 5*h - 14 = -9, 3*h - 3 = 3*o for o.
0
Let z = 668 + -663. Solve -z*c = -5*v + v - 20, 25 = -c - 5*v for c.
0
Suppose j = 3*y - 6, 0 = -2*y + 2*j + 2 + 6. Let k(x) = 3*x. Let m be k(y). Solve 0 = n + 5*d + 21, -2*d + 5*d + m = -3*n for n.
4
Suppose 6*n = n + 125. Let r = n - 33. Let i(l) = l**3 + 9*l**2 + 7*l. Let u be i(r). Solve 2*a = -2*p - u, 2*a - 6*a - 16 = -p for p.
0
Let v(o) = o**2 + 11*o - 2. Let r be (-1 - 1)*(2 - -4). Let j be v(r). Solve t = 3*b + 1, 0 = b - 6*b + 4*t + j for b.
-2
Let q = -1475 + 1494. Let b = 5 - 0. Suppose 5*t + 3*d = b, 7*d + q = t + 4*d. Solve 3*s = -2*x + 13, -s = -t*x - 3*s + 14 for x.
2
Suppose -2*h - 3*i = -19, 4*h + 5 = 3*i + 34. Let u(j) = -j**3 + 9*j**2 - 7*j - 4. Let y be u(h). Solve 3*s + 2 = y*s, 4*s = 4*l - 4 for l.
3
Let s(o) = -o**2 + 27*o + 4. Let y be s(0). Solve 0 = y*f + 4*k, 0*f = -f + 5*k - 24 for f.
-4
Let v(z) = -2*z**2 + 12*z + 23. Let u be v(7). Let q be ((-15)/u)/((-5)/45). Solve 4*g + 5*o - 8 = q, 0 = -g - 2*o + 8 for g.
2
Suppose 3*n - 3*o + 3 = -0, n + 4*o = 19. Solve n*t = 3*k - 12, -3*k + 0*k = 5*t + 20 for t.
-4
Let l(b) = -76*b + 68*b - 22 + 8. Let u be l(-4). Solve -5*r + 1 = -4*x + 4, 4*x = -2*r - u for r.
-3
Let p be 1/((-84)/(-20) + -4). Let b be -2*(-6 + p - 1). Solve -1 = -4*d + 3*v, -5*v + b = 2*d - 29 for
|
{
"pile_set_name": "DM Mathematics"
}
|
**(1/8))) assuming u is positive.
u**(9/40)
Simplify k/(k/(k/(k*k**(2/11)*k)))*k/k**7*k**(-7)/k**2 assuming k is positive.
k**(-178/11)
Simplify a*a*a/a**14*a/(a*a**10*a)*a assuming a is positive.
a**(-21)
Simplify ((s*(s**(-27)/s)/s)/s*s)**(-28) assuming s is positive.
s**784
Simplify (j**(1/2)/((j/(j*j*j*(j/(j**(-1/5)/j))/j*j))/j))/(j/(j*j**(-2)*j)*j*j*j/j**(1/2)) assuming j is positive.
j**(11/5)
Simplify (a/(a*a*a**(-2/3)*a*a)*a)**(-2/9)*(a**(2/5)*a)**(-18) assuming a is positive.
a**(-3362/135)
Simplify (d*d/d**1*d*d)**(-38)/(d**(-1/3))**(2/93) assuming d is positive.
d**(-31804/279)
Simplify (l/l**(-7/2))**32 assuming l is positive.
l**144
Simplify ((b**1)**(-49))**(-3/7) assuming b is positive.
b**21
Simplify w/w**(-3/4)*w/w**2*(w**(-1/4))**9 assuming w is positive.
w**(-3/2)
Simplify (((x**0*x)/x)/x)**(-14/9)*x**1*(x/((x**(2/11)/x)/x))/x assuming x is positive.
x**(433/99)
Simplify (w*w/w**(-22))**9 assuming w is positive.
w**216
Simplify a**(-1/8)*a**17 assuming a is positive.
a**(135/8)
Simplify (r*r**(-1/5))**(-2/13)/(r*r**(-2/25)*r*r*r/r**5*r) assuming r is positive.
r**(-14/325)
Simplify j*j**(-2/15)*j*j**5*((j**(1/12)*j*j*j)/j*j)/j**(3/7) assuming j is positive.
j**(1333/140)
Simplify t**(-1/7)*t*((t*t*t/((t/((t*t*(t**(2/7)*t*t*t*t)/t*t)/t)*t)/t))/t)/t*((t**(2/7)*t)/t)**(-11/5) assuming t is positive.
t**(193/35)
Simplify (a**(-1/4))**49*(a**1)**(-4) assuming a is positive.
a**(-65/4)
Simplify ((k*k/(k**7*k))/(k*k**(-2/3)))/(k**3/k)**(-44) assuming k is positive.
k**(245/3)
Simplify (k/k**4)**(-24) assuming k is positive.
k**72
Simplify j*j/((j/(j**(1/2)*j))/j)*j/((j*j**8*j)/j) assuming j is positive.
j**(-9/2)
Simplify w/(w/(w**(1/4)/w))*w*w**2*w/w**7*w**(1/3) assuming w is positive.
w**(-41/12)
Simplify (((q/q**(3/2))/q)/((q*q/q**(-2/5)*q*q)/q))/(q**(-4/3)*((q/(q/((q**(-1/2)*q)/q)*q))/q)/q) assuming q is positive.
q**(-1/15)
Simplify (v**(-7/5)/(v/(v*v**(-11/3))))**(18/7) assuming v is positive.
v**(-456/35)
Simplify f**(5/2)/(f/(f**(-1)*f))*f**(-2/9)/f*f*f/f**(4/3) assuming f is positive.
f**(17/18)
Simplify ((z/z**(-5/2))/(z*z**(-3/7)/z))**(-4/13) assuming z is positive.
z**(-110/91)
Simplify (((((z*z**(2/13))/z)/z)/z)/z**(-1/5))**(-20) assuming z is positive.
z**(428/13)
Simplify ((o*(o**(-4/9)*o*o)/o)/((o**(-3)/o)/o))**(6/23) assuming o is positive.
o**(118/69)
Simplify ((g**8)**(-1/6))**(1/5) assuming g is positive.
g**(-4/15)
Simplify h**1/(h**(-2)*h)*(h**(-1/2))**29 assuming h is positive.
h**(-25/2)
Simplify (n*n**7)**16 assuming n is positive.
n**128
Simplify (((r/r**(2/9))/r)/r**5)/(r**(1/2)/(r/(r*r*r**(2/5)))) assuming r is positive.
r**(-641/90)
Simplify (o**(-6/7)/o)**25 assuming o is positive.
o**(-325/7)
Simplify (u*u*u**(2/7)*u*u**(2/9))/(u/(u**(1/4)*u))**(-4/19) assuming u is positive.
u**(4136/1197)
Simplify (z/(z*z**(-3/7))*z**(-2/3))/(z**(2/3)*z)**36 assuming z is positive.
z**(-1265/21)
Simplify (a/(a*a**(1/14)))/(a*(((a/(a**(-1/21)/a*a)*a*a)/a)/a)/a) assuming a is positive.
a**(-47/42)
Simplify (g*g**(2/9)*g*g)/(g/(g/(g**(1/8)*g*g)))*(g*g**0)**(2/13) assuming g is positive.
g**(1171/936)
Simplify g/(g/(g/(g/((g*g**4*g)/g))))*g*((g**8/g)/g)/g assuming g is positive.
g**11
Simplify (h/(((h*h**(2/5)*h)/h)/h*h))**(1/15)*h**(-8/3)*h*h/(h/h**10) assuming h is positive.
h**(623/75)
Simplify (h*h**(1/13)*h*h)/(h/(h*h**(-3/5)/h*h)) assuming h is positive.
h**(161/65)
Simplify ((u*u/((u*(u*(u*u/((u**(2/3)*u*u)/u))/u*u)/u)/u))/(u/((u/(u**4/u)*u)/u)*u))**7 assuming u is positive.
u**(-49/3)
Simplify (u*u**(3/7)*u**10*u)**38 assuming u is positive.
u**(3306/7)
Simplify h**(-8/3)/(h/(h**16/h)) assuming h is positive.
h**(34/3)
Simplify ((z**3/z)/z)/((z*z**12/z*z)/z) assuming z is positive.
z**(-11)
Simplify (j/(j*j**(-25))*j)/(j**25/j) assuming j is positive.
j**2
Simplify (h*h**(5/3))/((h/h**(-10))/h)*(h*h*h/(h/(((h*h/h**(-2/7))/h*h)/h*h))*h)**13 assuming h is positive.
h**(1289/21)
Simplify ((m/m**(-1/10)*m)/m*m*m)/m*m**(-6/7)/m assuming m is positive.
m**(17/70)
Simplify l**(1/14)/(((l**(7/6)/l)/l)/l) assuming l is positive.
l**(40/21)
Simplify (l*(l/(l**(-9)*l))/l*l*l**9*l*l)**(-9/7) assuming l is positive.
l**(-27)
Simplify u**(5/14)/u**(-27) assuming u is positive.
u**(383/14)
Simplify h**(2/45)*h**(1/8)/h assuming h is positive.
h**(-299/360)
Simplify b**(-3)*b/(b**(1/3)*b*b*b) assuming b is positive.
b**(-16/3)
Simplify ((p*(p**(-4)/p)/p*p)/p)/p*p*p**(1/15)*p**7*p*p**(3/10) assuming p is positive.
p**(101/30)
Simplify (z/z**(-3/2)*z**21)**(-1/10) assuming z is positive.
z**(-47/20)
Simplify (d**14/d)**(-2/9) assuming d is positive.
d**(-26/9)
Simplify (h**(1/2)/h*h)**34/((h*h*h/(h/(h*(h/(h**(1/3)/h))/h*h)))/h*h**(-2/9)) assuming h is positive.
h**(122/9)
Simplify (a/a**(1/6))/a*a**(14/9)*a assuming a is positive.
a**(43/18)
Simplify ((a*a*a/(a/((a*a**(-18)/a)/a))*a)/a)/(a/a**(1/43)) assuming a is positive.
a**(-773/43)
Simplify (v/(v*v**(-1/3)))**(-39)*(v*v**(2/3)*v)**(-35) assuming v is positive.
v**(-319/3)
Simplify (x*x**(1/5))**(-34)/((x*x**(1/10))/((x**(-11)/x)/x)) assuming x is positive.
x**(-549/10)
Simplify b**9/((b**(-16)/b)/b) assuming b is positive.
b**27
Simplify ((n/((n*n/((n*n**(-5/2))/n))/n))/(n**(4/7)*n))**(1/12) assuming n is positive.
n**(-19/56)
Simplify i**(-2/15)/i*i**(1/14)*(i/((i*i**0)/i)*i)/i**6 assuming i is positive.
i**(-1063/210)
Simplify (a*(a**3*a*a)/a*a)**(1/6) assuming a is positive.
a
Simplify (t/t**(-3)*t**(-7))/(t**(-2))**(-4/3) assuming t is positive.
t**(-17/3)
Simplify ((n*n*(n**(-2/3)*n)/n)/n*n*n/(n**(5/3)/n*n))/(((n**(-1)*n)/n*n)/(n*(n**4/n)/n*n)) assuming n is positive.
n**(14/3)
Simplify (a/a**7)/a**2 assuming a is positive.
a**(-8)
Simplify (v**(7/5)*v/(v*v**(-4)/v))/(v/(v/((v**(-2/9)/v)/v))*v/(v*v*v**(-2/11))*v) assuming v is positive.
v**(4178/495)
Simplify (w**(1/5))**1 assuming w is positive.
w**(1/5)
Simplify ((s/s**(-2/3))**(-3/14))**(-2/17) assuming s is positive.
s**(5/119)
Simplify j*j**(-3)*j/j**3*j*((j/j**(-6))/j)/j*j*j*j*j/((j/(j**(-1/4)*j))/j) assuming j is positive.
j**(27/4)
Simplify ((u*u*u*u/u**3*u*u)/u*u/((u/(u**(-7)/u))/u*u))**(-36) assuming u is positive.
u**216
Simplify (x/x**(-8))/(x/(x/x**4))*x**(-1/2)/(x*x**(-4/3)*x) assuming x is positive.
x**(23/6)
Simplify (d*d**(-8)*(d*d**(-9)*d)/d)/(d**2/d**(-9)) assuming d is positive.
d**(-26)
Simplify (m**(-4)/(m*m**(-4)))**(5/14) assuming m is positive.
m**(-5/14)
Simplify (b/b**(-1/2))**24 assuming b is positive.
b**36
Simplify ((p*p*p**(-2/9))/(p**3/p))/((p**9*p)/p**(-7)) assuming p is positive.
p**(-155/9)
Simplify ((r/r**(-3))**(-9))**(-42) assuming r is positive.
r**1512
Simplify a**(4/3)*a*a**(1/12)*((a/(a/((a*a*a**(-3)*a)/a)))/a)**36 assuming a is positive.
a**(-835/12)
Simplify n/n**(-1)*n**(-3/4)/n assuming n is positive.
n**(1/4)
Simplify (((f*f**(-3/4))/f)**(-34))**(2/49) assuming f is positive.
f**(51/49)
Simplify (c**(-3/28)/c)/c**(-6) assuming c is positive.
c**(137/28)
Simplify (f**8/f**5)/((f**(-1)/f*f)/(f/f**(-2/17))) assuming f is positive.
f**(87/17)
Simplify q**15/(q/q**(-10)*q) assuming q is positive.
q**3
Simplify (q*q**(2/75)*q)/q*q*q/((q/q**20)/q)*q*q*q assuming q is positive.
q**(1952/75)
Simplify i*(i/(i*i*i**(6/13)))/i*i*(((i**(1/2)/i)/i)/i)/i assuming i is positive.
i**(-103/26)
Simplify (i**31/i*i)/(i**6/i) assuming i is positive.
i**26
Simplify (u**(-5/3)*u/(u*u**(-1/13)*u*u))/((u/(u/(u*(u*u*u/(u**(-2/3)*u*u))/u)))/u)**(-1/18) assuming u is positive.
u**(-1247/351)
Simplify k**(-10/3)*k**(3/5) assuming k is positive.
k**(-41/15)
Simplify (d*(d/(d/d**(4/7)))/d)/(d*d*d*d/(d*d**(-25))) assuming d is positive.
d**(-192/7)
Simplify (j**7*j)**(-3/14) assuming j is positive.
j**(-12/7)
Simplify (v**(-1/6)/(v**4/v))**(12/13) assuming v is positive.
v**(-38/13)
Simplify (f**(13/5)/f)**50 assuming f is positive.
f**80
Simplify h**(-1/12)/(h**(-7)/h*h) assuming h is positive.
h**(83/12)
Simplify ((x**(2/7))**(-16))**6 assuming x is positive.
x**(-192/7)
Simplify (r**(-2/5)*r)/r**(2/9)*(r/(r/r**(-3)))/r**0 assuming r is positive.
r**(-118/45)
Simplify z/z**(-1/6)*(z/z**16)/z assuming z is positive.
z**(-89/6)
Simplify ((h*h*h**0)/h*h**5)**(1/15) assuming h is positive.
h**(2/5)
Simplify (o**(-3)*((o/(o*o**(-2))*o*o)/o)/o)/(o**(-4/5)/(o/(o/(o/(o/((o**(-10)/o)/o)))))) assuming o is p
|
{
"pile_set_name": "DM Mathematics"
}
|
Let l = -28/11 + 218/77. What is the common denominator of l and (-182)/10 - (-2)/10?
7
Let d(y) = y**2 + 4*y + 3. Let i be d(-4). Suppose -i*r = -3*z + 48, -3*z + 3*r - r = -45. Calculate the smallest common multiple of z and 11.
143
Suppose -3*b + 15 = -27. Let o be (16/10)/((-3)/(-30)). Let h = 22 - o. What is the smallest common multiple of h and b?
42
Suppose -3*z + 3 = 0, 5*v + 13 - 38 = 5*z. What is the smallest common multiple of 18 and v?
18
Suppose -a = -3*t + 45, 3*a + 50 = 4*t + 5*a. Let k = -7 + 12. Suppose -x + 5*h = 23, k*h = -2*x + x + 27. What is the lowest common multiple of t and x?
14
Let g = 12559 + -251267/20. Calculate the common denominator of (-25)/2 - (1 - 0) and g.
20
Let r be (6/(-3))/(2 + -4). Suppose -2*y + r = -y. Calculate the lowest common multiple of 8 and y.
8
Let t be 348/207 - 1 - 2. Let v = -3101/276 - t. Find the common denominator of v and -115/14.
84
Suppose -w = -6*w + 80. Find the common denominator of 498/(-420) - 2/(-5) and 10/w + (-1)/4.
56
Let p(c) = -1 - c - c**2 - c + 3*c - c**3. Suppose -r = -3*f + 3, 0 = r - f + 5 - 2. What is the lowest common multiple of 2 and p(r)?
14
Let h be (0 + 0)/(3 - 1). What is the common denominator of 2 - (25/6 + -2) and 178/(-20) + -2 + h?
30
Let b = 10136 - 101473/10. Suppose -3*z = 0, 2*z - 1217 = 3*o + 2584. Let u = o + 2483/2. Calculate the common denominator of u and b.
10
Suppose 4*q - 2*k = 67 + 5, -24 = -q + 2*k. Calculate the smallest common multiple of 2 and q.
16
Let r = 9/73 - -2245/146. Let d be (-2)/(-4) - 692/1354. Let c = -30886/7447 - d. What is the common denominator of c and r?
22
Let m = -282052 - -1141199/4. Let k = m + -3225. What is the common denominator of k and 8/(-6)*(-5)/(-2)?
12
Calculate the common denominator of -65/4 and (-30)/(-8)*(-78)/(-25).
20
Let s(g) = -g**3 + g**2 - 1. Suppose -3*z - 3*i = 15, 0*z - 2*i = 5*z + 13. Let h be s(z). Calculate the common denominator of (h - (-10)/(-24)) + 2 and 13/2.
12
Let i = -7060626/7 + 84069449/84. Let s = 7846 + i. Calculate the common denominator of s and 55/8.
24
Let z(c) = c**3 + 7*c**2 + 2*c - 9. Let t be z(-7). Let q = 25 + t. Calculate the least common multiple of q and 4.
4
Let f = -64/71 + -4543/710. What is the common denominator of -17/44 and f?
220
Let o(l) = 6*l - 4. What is the least common multiple of 11 and o(3)?
154
Suppose 0 = -3*m + 4*l + 30, -29 = -2*m + 5*l - 9. What is the lowest common multiple of m and 9?
90
Let m = 8 - -1. Calculate the lowest common multiple of m and (-1 - -2 - 1) + 1.
9
Suppose 4*i + g = 9, -11 = -5*i + 2*g - 3. Calculate the smallest common multiple of 42 and i.
42
Let a = 61 - 49. Calculate the lowest common multiple of 12 and a.
12
What is the least common multiple of 59 and -5 + 2 + (14 - -1 - 2)?
590
Calculate the smallest common multiple of 2 and 1/1 + (3 + -7 - -13).
10
Let l(n) = n**3 - 7*n**2 + 8*n - 3. Calculate the least common multiple of l(6) and 7.
63
Let u = 4547/3 + -1532. Calculate the common denominator of -16/11 and u.
33
Let m be (-404)/3*(-9)/2. Suppose 4*g + 54 - m = 0. Find the common denominator of (g/40)/(-2 + 1) and -19/10.
20
Let x be 2*((-110124)/40)/9. Let l = 49249/80 + x. Find the common denominator of l and 67/16.
16
Let a = -6 + 5. What is the common denominator of (-109)/22 + (0 - a) and -2 - -29*1/6?
66
Let l = -817/5 + 3093/19. What is the common denominator of -34/11 and l?
1045
Let k(z) = -z**2 + 5*z - 4. Let m be k(4). Suppose -2*v + 13 = -0*v + a, m = 2*v - 5*a - 7. Calculate the lowest common multiple of 8 and v.
24
Suppose 18 = 5*i + 2*u, 4 = -4*i - 3*u + 6*u. Suppose -2*d + o = -0*o - 21, 0 = 5*d + i*o - 30. Let v = 7 + -1. Calculate the lowest common multiple of d and v.
24
Suppose 47 = 5*h + 12. Suppose 0 = -q - 3*q + 36. Calculate the lowest common multiple of q and h.
63
Let w(k) = -k**2 - 8*k + 4. Let y be w(-6). Find the common denominator of (-1)/(-3) + (-71)/24 and (110/y - -2) + 1.
8
Let s = -7972 - -191359/24. Calculate the common denominator of 47/6 and s.
24
Calculate the common denominator of 5 and 3/189*129*14/(-48).
72
Suppose -3*q = -2 - 4. Calculate the lowest common multiple of (2/(-6))/(q/(-30)) and 7.
35
Let b be (-2)/(-7) + 52/14. Suppose -2*y - 10 = -b*y. Suppose -y*h - 30 = -10*h. What is the smallest common multiple of h and 20?
60
Let b(o) = -o**3 + 8. Let f be b(0). Let g = f + -4. What is the smallest common multiple of 108/10 + g/20 and 7?
77
Let l = 92/147 - 7951/882. What is the common denominator of l and -95/6?
18
Let z = -1/895 + -58169/5370. Find the common denominator of 107/22 and z.
66
Suppose 2*h = -2*h - 2*f + 60, h - f - 18 = 0. Calculate the least common multiple of (-7)/2*-2*2 and h.
112
Suppose t - 4*p = -0*t - 10, -1 = t - p. Let a(k) = -k**3 - 5*k**2 + k + 5. Let g be a(-5). Calculate the smallest common multiple of t and (g - 5)*9/(-15).
6
Let y(f) be the second derivative of -3*f**5/20 - f**4/3 - f**3/3 + f**2 - f. Calculate the least common multiple of y(-2) and 86/6 - (-1)/(-3).
14
Let a(z) = -2*z**2 + 4*z - 4. Let b(w) = -w**2 + 4*w. Let x be b(3). Find the common denominator of 63/2 and a(x).
2
Let o = 36 - 35. Let z(b) = b**3 + 10*b**2 + 10*b + 11. What is the smallest common multiple of o and z(-9)?
2
Let v = 72 - 148. Let t be (-1)/(-5) + v/(-20). Suppose t*f = f + 48. Calculate the lowest common multiple of 14 and f.
112
Let j = 23495/1986 - -1/331. What is the common denominator of j and 45/14?
42
Let q(g) = g**2 - 38. What is the lowest common multiple of 2/2 + -4 + 7 and q(8)?
52
Let b(q) = -8*q - 2. Let r(a) = a. Let u(p) = b(p) + r(p). What is the smallest common multiple of 4 and u(-2)?
12
Find the common denominator of 41/11 and 339/(-5)*2/(-12).
110
Let h = -1398 - -12626/9. Calculate the common denominator of h and -71/3.
9
Suppose 371 - 92 = 3*x. Calculate the common denominator of (-4)/(-16) + x/(-44) and -71/10.
110
Calculate the common denominator of ((-86)/(-16))/(7/4) and -7*((-26)/(-8) + 0).
28
Let x = 3 - 2. Calculate the common denominator of -23/10 and ((-2)/24)/(x/(-71)).
60
Let v(p) = p**3 + 8*p**2 - p - 6. Let j be v(-8). Suppose -4 = o - 0*o, -20 = -4*b - j*o. What is the least common multiple of 2 and b?
14
Let a be 1/(-4) - (-447)/(-4). What is the smallest common multiple of ((-4)/7)/(32/a) and 14?
14
What is the common denominator of 30/(-27)*2/(-5) and -29/10?
90
Let w = 4523 - 171851/38. Find the common denominator of 54/(-9) + 1575/108 and w.
228
Suppose -y + 14 = y. Let k be -3 + 6 + -1 + -2. Suppose -d + k = -4. Calculate the lowest common multiple of d and y.
28
Let i = 9 + -25. Find the common denominator of 49/22 and (2/i)/((-1)/25).
88
Let o = -75756 + 16742034/221. Let b = o + 25393/2210. Calculate the common denominator of b and 65/(-2) + (1 - -1).
10
Let j = -6 + 13. Suppose 0 = -u - 4*s + j, -5*u - 4*s = -0*u - 35. Suppose 5*m = 54 + 1. Calculate the smallest common multiple of u and m.
77
Let p = -4 - -8. Calculate the smallest common multiple of p and 3.
12
Let t = -31 + 51. What is the lowest common multiple of 2 and t?
20
Let i = 3 - -6. Find the common denominator of -143/6 and (-6)/i + 65/(-18).
18
Suppose 2*i = 3*g + 11, i - 1 = 2*g - 5*g. Let j = 1/303 - 236/101. What is the common denominator of j and g + 1/10*-57?
30
Let w = -335741/32 - -10494. What is the common denominator of 19/14 and w?
224
Suppose -18 = -4*h + 18. What is the smallest common multiple of 5 and h?
45
Suppose 2*a - 6 = k, 0 = -4*a - k - 3*k. Calculate the lowest common multiple of a and 12.
12
Let i be -1 + -1 + 515/165. Let u = 3724405925/101700786 + 2/1540921. Let h = i - u. Calculate the common denominator of h and -25/2.
2
Let f = -6 + 6. Suppose f = y + u + 5, 0*y - 2*y + 15 = -3*u. Suppose y*m + 12 = 2*m. Calculate the smallest common multiple of 4 and m.
12
Let u = -10 - -7. Let l be 4/(-12) - (-370)/(-6). Find the common denominator of -83/2 and (u/(3/l))/3.
6
What is the lowest common multiple of 5 and (-12)/10*(-55)/22?
15
Let d = -19 + -19/4. Let u = d + 24. What is the common denominator of 53/2 and u?
4
Suppose -4*d = -9*d + 10. Suppose d*n + 4*i = 4*n - 2, -2*n - 2*i = -14. Calculate the least common multiple of 11 and n.
55
Let r(u) = -u**3 - 6*u**2 - 10*u + 5. Calculate the smallest common multiple of r(-5) and 4
|
{
"pile_set_name": "DM Mathematics"
}
|
*g - 770. What are the prime factors of j?
2, 79
Let h(z) = 2*z**2 + 0*z**2 + 15*z**3 - 12 - 8*z**3 - 6*z**3 - 7*z. Let l be h(-3). Suppose l = 3*j - 5 - 22. List the prime factors of j.
3
Let t(j) = 2*j - 53. Let r = -41 + 41. Let x be t(r). Let y = x - -177. List the prime factors of y.
2, 31
Let n(m) = -9*m + 71. Let p be n(8). List the prime factors of (1041/6)/(p/(-2)).
347
What are the prime factors of (3/(24/10) + (-954)/424)*-3859?
17, 227
Let t(c) = c**3 - 73*c**2 + 128*c + 242. List the prime factors of t(72).
2, 2137
Let p(k) = -18*k**3 + 2*k**2 + 3*k + 2. Let l be p(-1). Suppose 4*a - 19 - 146 = -5*m, -5*m - 150 = -5*a. Let g = l + a. What are the prime factors of g?
2, 3
Let w = -64 + 87. Let z(i) = i**3 - 23*i**2 + 25*i - 56. List the prime factors of z(w).
3, 173
Suppose b + 5*c = 29, -4*b + 2*b + 84 = -3*c. Suppose -b*g = i - 35*g - 434, 2245 = 5*i - 5*g. List the prime factors of i.
2, 223
Let y = 9473 + -4664. List the prime factors of y.
3, 7, 229
Suppose 2*m - 4*a = 9022, -3*m + a + 5451 = -8077. What are the prime factors of m?
3, 167
Suppose 3*o - 13 - 11 = 0. Let l = 712 - 728. List the prime factors of o/(-2)*(564/l + 4).
5
Let t = -6298 - -12043. List the prime factors of t.
3, 5, 383
Suppose 0 = 18*u - 31*u + 2795. Let p = -144 + u. What are the prime factors of p?
71
Suppose 0 = -6*n - 19001 + 68195. Suppose -11*v = -n + 2028. List the prime factors of v.
3, 11, 17
Suppose 5*i - 2*a - 51237 = 0, 6*i - 30727 = 3*i + 5*a. List the prime factors of i.
37, 277
Let m(w) = 29*w + 16. Let q be m(-42). Let d = -599 - q. What are the prime factors of d?
3, 67
Suppose 316*l - 29157 = 1287299. What are the prime factors of l?
2, 2083
List the prime factors of 5/((-1)/1) - -12344 - -8.
12347
Suppose 22761*f + 492966 = 22795*f. List the prime factors of f.
3, 179
Let k be 139/((9 + -12)*1/(-3)). Suppose k + 1396 = 5*t. What are the prime factors of t?
307
Let q(j) = 5 + 2 + 16*j**2 - 11 + 19*j - 2. What are the prime factors of q(3)?
3, 5, 13
Let m = 22 - 20. Suppose -41 = m*c - 51. Suppose c*s + 287 = 2*r, 255 = 5*r + 3*s - 478. List the prime factors of r.
2, 73
Let g be (-10 - 0) + (0 - 0). Let x = -10 - g. Suppose -4*j + m + 168 = x, -4*j + 9 = 2*m - 171. List the prime factors of j.
43
Let v be (-3 + 2 + 2)/((-4)/(-32)). Suppose -3*p - v + 48 = -2*k, 4*p = k + 60. List the prime factors of p.
2
List the prime factors of 4 - 402578/11*(-2)/4.
3, 6101
Let i(b) = -2*b**3 + 8*b + 2962. What are the prime factors of i(0)?
2, 1481
Let h(g) = -g**3 - 7*g**2 - g - 5. Suppose -t + 28 = -5*t. Let s be h(t). Suppose -4*p + s*k = -63 - 23, -120 = -5*p + 5*k. List the prime factors of p.
19
Let a(l) = 498*l - 1375. What are the prime factors of a(29)?
73, 179
Suppose 5353 = 4*z + p, -3*z + 4*p + 1839 = -2190. Suppose -16*m + 5269 + z = 0. Suppose 0 = -7*l + m + 833. What are the prime factors of l?
2, 89
Let u = -3837 + 3796. Let c = -111 - -203. Let q = c + u. List the prime factors of q.
3, 17
Suppose -12*v - 2*u + 36 = -8*v, 5*u = v + 13. Suppose -5*a - s = -v*a + 1128, 5*a = -3*s + 2820. List the prime factors of a.
2, 3, 47
Let z(q) = -2*q**3 - 16*q**2 - 25*q + 1. Let w be z(-6). Let n(r) be the first derivative of 3*r**2/2 + 28*r - 1. List the prime factors of n(w).
7
What are the prime factors of 107*(-369)/(-6) + (-36)/(-72)?
6581
Let f = 2083 + 912. List the prime factors of f.
5, 599
Suppose -12*f = -9 - 27. What are the prime factors of -4 - f*9522/(-27)?
2, 17, 31
Suppose 0 = 6*o + 501 - 11085. Suppose 2*c - 673 = -t, -4*c = -5*t + o + 1545. What are the prime factors of t?
5, 7, 19
What are the prime factors of -1 + (1/3)/(18/2807730)?
2, 25997
Let w = 1379 + 6448. What are the prime factors of w?
3, 2609
Let z(l) = -l**3 - 39*l**2 - 191*l + 222. What are the prime factors of z(-45)?
3, 29, 241
Suppose 4138*o = 4129*o + 636255. What are the prime factors of o?
3, 5, 1571
Let r(c) = -27*c**2 - 16*c + 2. Let z be r(-1). Let n(p) be the third derivative of p**5/60 + 3*p**4/8 + 5*p**3/3 + p**2. List the prime factors of n(z).
2, 5
Suppose 0 = -27*n + 23*n + 1100. List the prime factors of n - (0 + -2 + 2 + 1).
2, 137
Let o(w) = w**3 + 11*w**2 - 6*w - 15. Let q be o(-11). Let n = -47 + q. Suppose -n*y - 2*l + 218 = 0, 0*y + 181 = 3*y - 2*l. What are the prime factors of y?
3, 19
List the prime factors of (-75741)/(-33) - ((-70)/77)/(-5).
3, 5, 17
Let m(g) = -g**3 - 8*g**2 + 9*g + 3. Suppose 2*p - 1 = p, 19 = -2*k + p. Let v be m(k). Suppose 0 = u - v*u + 12. List the prime factors of u.
2, 3
Let x(t) = -t**3 + 18*t**2 + 12*t + 114. What are the prime factors of x(-26)?
2, 11, 17, 79
Let n be (-28878)/(-6) - (3 - (1 + 1)). Suppose -5*y + x + n = 790, y - 808 = 2*x. List the prime factors of y.
2, 3, 67
Suppose -271*n + 258*n = 16809. Let t = 354 - n. What are the prime factors of t?
3, 61
Let q = -13731 + 22961. What are the prime factors of q?
2, 5, 13, 71
Let k = 14034 + -10882. List the prime factors of k.
2, 197
Suppose 3*b = 3*o - 213453, 273*o - 277*o - 4*b = -284596. List the prime factors of o.
2, 5, 1423
Suppose -20*l = -158810 + 2850. What are the prime factors of l?
2, 7, 557
Suppose 2*u + 620 = 6*u. Let l be (-35 - -32)*(-7 + 1 + -2). Let s = u - l. List the prime factors of s.
131
Let s be (-32236)/(-14) - 54/(-126). Suppose 35*u - 28*u = s. What are the prime factors of u?
7, 47
Let p = 5 + 18. Let a be 60/((-21)/p - -1). Suppose 71*f - 66*f = a. What are the prime factors of f?
2, 3, 23
What are the prime factors of ((-5816)/(-22))/((-13)/(-143))?
2, 727
Suppose 3*q - 3 = p, 0*q - 2*p - 6 = -3*q. Let l(f) = -f**2 - 2*f + 71. Let k be l(q). Suppose -j = -k - 2. List the prime factors of j.
73
Let c be 0 - (-2)/8 - 103182/(-232). Let s = c - 128. What are the prime factors of s?
317
Let h(c) = -c**3 + 10*c**2 - 21*c + 26. Let g be h(8). List the prime factors of (-6 - (-4445)/g)*-2.
647
Let t = 38421 - 2285. List the prime factors of t.
2, 4517
Let l be 6/((-5)/(15480/(-16))). Let i = l - 592. What are the prime factors of i?
569
Let a = -604 + 612. Suppose 0 = a*f + f - 4851. List the prime factors of f.
7, 11
Suppose 69*s - 1856175 = 3802745 - 1894211. What are the prime factors of s?
3, 13, 1399
Let j = -352 - -599. Suppose -25*f + j = -1078. What are the prime factors of f?
53
Let t be 6/(-4)*(9 + -3). Let c = 13 + t. What are the prime factors of c/8*2 + 94?
5, 19
Let h be 5/(28/36 - (-4)/18). Suppose -h*n + 0*n = -10. Suppose -3*l = -2*m - 149, -4*l + 224 = n*m + 44. What are the prime factors of l?
47
Let r be 1*14332/16 - 6/8. What are the prime factors of (r/15)/(18/324)?
2, 3, 179
What are the prime factors of (-9 - (-16)/3 - -5)*(1 + 33086)?
2, 41, 269
What are the prime factors of (-40)/(-4) + -12 - -2335?
2333
Let v be (1056/(-14))/((-243)/(-126) + -2). Let f = v + -796. What are the prime factors of f?
2, 5, 13
Let d(x) = -1746*x**3 + 52*x**2 + 163*x + 19. What are the prime factors of d(-3)?
2, 5, 2357
Let u(w) = w**3 - 75*w**2 + 133*w - 81. List the prime factors of u(74).
5, 857
Suppose -31*z + 250494 + 289484 = 158306. What are the prime factors of z?
2, 3, 19
Let r = 402 + 210. What are the prime factors of r?
2, 3, 17
Suppose -196378 = -5*n + j, -20*j = -n - 16*j + 39287. What are the prime factors of n?
5, 1571
Suppose 17*x = 21*x - 32*x + 538944. List the prime factors of x.
2, 3, 401
List the prime factors of (14 - 0/(-14)) + 8502.
2, 2129
Let r be 3276 + (-6)/21*-7 - 0. Suppose 5*v - 8488 = -r. List the prime factors of v.
2, 521
Suppose -3*d + 230 = -4*x, 0 = 5*d + x + 3*x - 362. Let n = d - -188. Suppose -3*i + n = -5*q, -99 = -i - 0*q + 4*q. List the prime factors of i.
79
Suppose 3*r - v + 4*v = 45, -43 = -3*r - 5*v. Let y be (r/20)/(2/115). Let f = y + -29. What are the prime factors of f?
17
Let x be (-22)/(-121) - (-1 - 39/(-33)). Suppose -28*s + 15*s + 9828 = x. List the prime factors of s.
2, 3, 7
Let w = -23 + -11. Let k = w + 42. Suppose k*g = 2*g + 78. List the prime factors of g.
13
Let v(d) = d**3 + 7*d**2 - 39*d + 328. What are the prime factors of v(17)?
7, 23, 41
Suppose 2*j + 23*j = -17700. Let s = -240 - j. List the prime factors of s.
2, 3, 13
Suppose 9*b + 5 = 10*b. Suppose -7*v = -2*v - 25, b*y = 4*v + 1310. List the prime factors of y.
2, 7, 19
Suppose 0 = -3*l - 4*y
|
{
"pile_set_name": "DM Mathematics"
}
|
order.
-6, -2, 0, x
Let y = -26 - -28. Let t be 0*((-5)/y)/(-5). Let s be (20/(-12))/(1/3). Sort s, 4, t.
s, t, 4
Let z be (-1)/1 + (-69)/(-63). Let q = -5 + 1. Let k = -9 - q. Sort k, 1, z in increasing order.
k, z, 1
Let w be (-12)/(-14)*(2 + 9/6). Sort w, 1, -3/7, -0.02 in increasing order.
-3/7, -0.02, 1, w
Let y = 1.58 + 0.42. Sort -0.7, -4, 5, y in decreasing order.
5, y, -0.7, -4
Let n be 42/(-10) - (4/(-1) + 0). Let f = 69 - 68.6. Sort n, f, -1/2 in increasing order.
-1/2, n, f
Let r = -160 + 160.18. Let k = 3 - -1. Put k, r, -1 in increasing order.
-1, r, k
Let t = 500 - 500.5. Sort t, 18, 0.03 in ascending order.
t, 0.03, 18
Let h(k) = -6*k**3 + 18*k**2 - 5*k - 2. Let b(u) = 5*u**3 - 17*u**2 + 6*u + 2. Let a(x) = 7*b(x) + 6*h(x). Let r be a(-12). Put r, 5, 0 in decreasing order.
5, r, 0
Suppose 0 = 3*n - 0*n - 15. Let c = -150 - -147. Sort -15, c, -1, n in descending order.
n, -1, c, -15
Let y = 378 - 380. Put y, 4, -5, 24 in decreasing order.
24, 4, y, -5
Let a be (-3)/(-2*15/(-20)). Let b be -5*-2*a/4. Let v be (4 + -2)/(2 + -1). Put b, v, -7 in descending order.
v, b, -7
Let v = 39 + -44. Put 5, v, -4/11 in ascending order.
v, -4/11, 5
Let n = 134.5 + -121.5. Put -2/11, n, -4 in decreasing order.
n, -2/11, -4
Let i = -0.06 - 0.06. Let c = 0.08 - i. Put -0.3, 0.4, c in ascending order.
-0.3, c, 0.4
Let j(z) = -z**2 - 2*z + 1. Let x be j(5). Let v = x + 38. Suppose -v*b - 4*f = b + 5, 0 = -b - 3*f - 12. Sort b, 5, -1.
-1, b, 5
Let k = 42 + -29. Suppose c - k = -0. Let w = 18 - c. Sort -2, w, 0.5 in descending order.
w, 0.5, -2
Let o = -14 + 9. Sort o, 3, -138.
-138, o, 3
Let a = -3.6 + 4. Let i = 46 - 51. Put -1, a, i in increasing order.
i, -1, a
Let j = -191 - -125. Let k = -61 - j. Let p = -0.1 - -0.1. Sort -2, k, p in descending order.
k, p, -2
Suppose -38 = -10*t - 18. Sort t, -5, 1.
-5, 1, t
Let p be (-38)/95 + (0 - 17/(-5)). Let b = -4 - -5. Sort 0.07, p, b.
0.07, b, p
Let s = 21.493 + -0.093. Let b = 2 - 23. Let d = s + b. Sort d, 6, -0.5 in increasing order.
-0.5, d, 6
Let a(f) = 6*f**2 - 16*f - 5. Let j be a(3). Put j, -0.9, 5, -2/23 in ascending order.
-0.9, -2/23, j, 5
Suppose -3*i - 2 + 11 = 0. Let j(b) be the first derivative of -b**2/2 + 6*b - 2. Let s be j(i). Sort s, -2, 4 in increasing order.
-2, s, 4
Suppose 307 = 13*b + 502. Sort -3, b, 6.
b, -3, 6
Let m = 14.9 - 14. Let r = 1 - m. Let c = r - -0.1. Put -3/5, 5, c in descending order.
5, c, -3/5
Let b be (-4)/(-10) + 444/(-210). Let u = -191/91 - b. Sort -3, -1, u in decreasing order.
u, -1, -3
Suppose 9*q - 501 = -519. Put -3, q, 4, -4 in increasing order.
-4, -3, q, 4
Let d = 851 - 9363/11. Sort d, -7, 9.
-7, d, 9
Let x = -248 + 230. Put -2/3, 3, x in descending order.
3, -2/3, x
Suppose -3*i - 14 - 2 = u, 0 = -i + 4*u - 27. Put -5, i, 22 in descending order.
22, -5, i
Let i(f) be the first derivative of -f**4 + 4*f**3/3 - 3*f - 23. Let w be i(1). Suppose -2*t + 4*t = -4. Sort -1, t, w.
w, t, -1
Let p be 2/(-9) - (-48)/216. Let t = -1909 - -34345/18. Let s = -7/9 - t. Put s, p, 2/17 in decreasing order.
s, 2/17, p
Suppose 5*w = -4*d, 0*d - 2*w = 2*d - 2. Suppose -s - s - 3*n = -1, 3*s - 3*n + 21 = 0. Sort s, 0, d in descending order.
d, 0, s
Let o(i) = 12*i**2 - i - 5. Let s be o(-2). Let n be s/(-6)*(-10)/(-15). Sort n, -6, 4.
-6, n, 4
Let z be (-47)/(-9) - 8/36 - 0. Sort -2, z, 66 in descending order.
66, z, -2
Let f = 4 - 7. Let l = -156 - -150. Let c = 5.2 + l. Put f, c, -0.2 in decreasing order.
-0.2, c, f
Let z = 4 + -12. Suppose 58*l = 53*l, 2*d - 4*l = 8. Put -5, d, z in descending order.
d, -5, z
Suppose -5*a + 24 = v, 4*a - 24 = -3*v + 4. Let r be (-11 - 675/(-63))/(6/(-14)). Sort 8, r, v in ascending order.
r, v, 8
Let f be (-5 + 0 - 1)*21/(-42). Sort -2, f, -4, -25.
-25, -4, -2, f
Suppose -36 + 11 = -5*g. Suppose 68 = -62*m + 6. Sort g, 4, m in decreasing order.
g, 4, m
Suppose 4*c = 2*c - 2. Suppose -o + 4*u - u + 5 = 0, -4*u = -4*o + 12. Let j be (20/(-12))/(o/6). Sort j, -4, c in ascending order.
j, -4, c
Let y = -8.58 - -9.58. Suppose 2 = 2*z + 2*i, -4*z + 0 + 5 = 3*i. Let f be (3/z)/(3 - 6). Put f, -4, y in decreasing order.
y, f, -4
Let k = 32.5 + -34. Let d = k + 1.4. Sort 4/5, 0.5, d in increasing order.
d, 0.5, 4/5
Let h be (7 + (-3 - 1))*22/66. Put -162, h, -2, -5 in descending order.
h, -2, -5, -162
Suppose 40 = -4*d + 116. Suppose -d - 11 = 5*z. Let c = 1 + 1. Sort z, -2, c.
z, -2, c
Let p = 0.4161 + 0.0839. Let m = -3 + 2.99. Put m, -3/4, -3/5, p in decreasing order.
p, m, -3/5, -3/4
Let f = 750 - 748. Put f, 45, -2 in descending order.
45, f, -2
Suppose -2*j + 2*m - 1 = 3, 5*j = 2*m - 16. Suppose o - 13 = 14*o. Sort j, 1, 2, o in ascending order.
j, o, 1, 2
Suppose 2*o + 10 + 1 = -r, -5*o = 2*r + 25. Let f(g) = 6*g**2 + 92*g + 28. Let t be f(-15). Put 8, o, t in decreasing order.
8, t, o
Let u be (-25)/13 - (-4)/(-18). Let g = u + 25/13. Let k = 0.06576 + 4.93424. Sort k, -5, g in ascending order.
-5, g, k
Let p be -2*(2*-1 + (5 - 4)). Suppose -5*r + 9 = -p*r. Put r, 5, 2 in descending order.
5, r, 2
Let d = -342.74 + 343. Sort d, 4, -2 in increasing order.
-2, d, 4
Let c = 63 - 63. Let z = 9 + -6. Sort z, c, -1 in decreasing order.
z, c, -1
Suppose 4*g - 12 = 0, -g + 2*g + 7 = -5*a. Suppose -4*m + 4 = -2*j, 24 = -4*m + 2*j - 7*j. Sort m, 5, a in increasing order.
a, m, 5
Let r = -0.1155 - 0.2845. Sort r, -5, 6 in decreasing order.
6, r, -5
Suppose 11*y - 19 = -o + 8*y, -2*y = o - 14. Sort 1/7, -436, 3, o.
-436, 1/7, 3, o
Let j = 3 + -2.8. Let k = 2/33 + -80/231. Let i = -0.01 - 0.59. Sort j, i, k in increasing order.
i, k, j
Suppose l + 4*x + 16 = 0, -5*x + 0*x - 37 = -3*l. Suppose 220*q - 219*q - 3 = 0. Put l, q, -2 in decreasing order.
l, q, -2
Let g = -0.325 + 0.445. Let x = 12 - 12.52. Let f = x + g. Put f, 1, 1/3 in increasing order.
f, 1/3, 1
Suppose 0 = -l + 3*l - 4. Let i = l - 1. Let m be (-6)/(-12) + (i - 1). Put m, -2/7, 4 in ascending order.
-2/7, m, 4
Let b be 63/(-6)*6*40/(-35). Let t = b + -289/4. Let n be 1*(-2)/3*6. Put t, n, 5 in increasing order.
n, t, 5
Let b = 2.884 - -0.116. Put -1, 0.2, b, -4 in descending order.
b, 0.2, -1, -4
Let n be 3/(-12) - (-20)/16. Let x = n + -4. Suppose -3*w + 14 = 5*a, -14 = 2*w - w - 3*a. Put x, w, 2 in descending order.
2, w, x
Suppose -78*a - 84 = -36*a. Suppose -4 = -3*q - 16. Suppose 2*v - 10 + 2 = 0. Put v, q, a in decreasing order.
v, a, q
Let w = 2 - -2. Put w, -3, -2, 8 in decreasing order.
8, w, -2, -3
Let b = -160 - -163. Put -1, b, 29, -2 in descending order.
29, b, -1, -2
Let r = 4.722 + 0.278. Suppose 3*q + q = 8. Sort -2/27, -2/15, r, q.
-2/15, -2/27, q, r
Let t = -85/14 + 39/7. Sort -37, 4, 0, t.
-37, t, 0, 4
Suppose -3*q - 15 = -27. Suppose -2 = k + k, -x = q*k. Put -3/2, 1, x, -4 in increasing order.
-4, -3/2, 1, x
Let f be (-44)/(-14) - (1 + (-2 - -5 - 1)). Let v = 0.7 - -0.3. Sort v, f, 0.2 in ascending order.
f, 0.2, v
Let i = -1.7 + -0.3. Let d = -36/77 - -2/11. Put 2/11, d, i in ascending order.
i, d, 2/11
Let x(f) = -f**2 - 9*f + 27. Let m be x(-11). Let k(q) = -q + 4. Let w be k(m). Put w, -6, 1 in decreasing order.
1, w, -6
Let y be 2/(-5) - 164/(-10). Suppose y = 7*j - 11*j. Let u be (-9)/(-18) - (-10)/j. Sort -3, 1, u in descending order.
1, u, -3
Suppose 2*i + 29*y + 6 = 31*y, 0 = -4*y + 16. Suppose -7 = -v + 1. Suppose -v = 3*u + 1. Sort u, i, -5.
-5, u, i
Let j = 4.9027 - -0.0973. Let u = -78.63 - -79. Let z = -0.03 - u. Sort j, z, -0.2 in descending order.
j, -0.2, z
Suppose -7*w + 207 = 228. Sort -0.15, 3, -0.4, w in descending order.
3, -0.15, -0.4, w
Let w be -1 + (-2)/(-1) - 0. Let c = -9805 - -39447/4. Let r = -57 + c. Put 4/3, r, w in ascending order.
r, w, 4/3
Let w = 256 + -177. Let q = 80 - w. Sort -3/2, 5, q, 28 in ascending order.
-3/2, q, 5, 28
Let x = -471 + 476. Sort -3, x, 11 in decreasing order.
11, x, -3
Let h = -562 + 559. Put -63, -4, 2, h in descending order.
2, h, -4, -63
Let l be 4 - 2 - (-13 + 8). Suppose -l = -2*u + 1. Suppose 0 = u*x - 2*x + 8. Sort -0.5, x, 4 in ascending order.
x, -0.5, 4
Let y = -15 + 18. Suppose y*w - 36 = 234. Let q be (3 - 0)/(w/(-12)). Sort q, 1, 2/5 in decreasing order.
1, 2/5, q
Suppose u - 69 = 3*p + 105, 3*u - 58 = p. Let n = p - -62. Sort n, -3, -20 in increasing order.
-20, -3, n
Let c = 20 -
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon denominator of -49/299 and -14/325?
7475
What is the common denominator of -163/1716 and 23/234?
5148
Calculate the smallest common multiple of 871 and 5.
4355
What is the lowest common multiple of 198 and 540?
5940
Calculate the smallest common multiple of 18 and 1389.
8334
Calculate the least common multiple of 81 and 12.
324
Find the common denominator of -149/6 and -131/90.
90
Find the common denominator of -44/21 and -111/14.
42
What is the smallest common multiple of 40 and 3528?
17640
What is the common denominator of 65/3938 and -1/2685?
59070
Calculate the common denominator of -65/6 and -101/3264.
3264
Calculate the smallest common multiple of 402 and 402.
402
Calculate the common denominator of -42/19 and -62/1615.
1615
What is the lowest common multiple of 39 and 183?
2379
What is the common denominator of -61/216 and 1/54?
216
Calculate the least common multiple of 1166 and 132.
6996
Calculate the lowest common multiple of 22 and 22.
22
What is the smallest common multiple of 2 and 16?
16
What is the common denominator of 71/21070 and 37/8?
84280
Calculate the common denominator of 1/12 and -31/876.
876
What is the common denominator of -13/36 and -131/12?
36
What is the smallest common multiple of 920 and 345?
2760
What is the lowest common multiple of 10 and 530?
530
What is the common denominator of 37/600 and -143/2700?
5400
Find the common denominator of -37/992 and -47/248.
992
What is the lowest common multiple of 27 and 5283?
15849
What is the lowest common multiple of 5580 and 32?
44640
Calculate the smallest common multiple of 65 and 10.
130
What is the common denominator of 97/6588 and 13/45?
32940
Find the common denominator of 25/576 and -169/270.
8640
Calculate the least common multiple of 12 and 212.
636
Calculate the common denominator of -151/36 and -121/756.
756
Calculate the least common multiple of 39 and 33.
429
Calculate the common denominator of -7/37 and 81/244.
9028
Calculate the common denominator of 73/276 and -55/14.
1932
What is the least common multiple of 2220 and 12?
2220
Calculate the lowest common multiple of 48 and 7224.
14448
Calculate the least common multiple of 18 and 48.
144
What is the lowest common multiple of 760 and 8056?
40280
What is the common denominator of 167/2856 and -211/3570?
14280
What is the lowest common multiple of 2050 and 615?
6150
Calculate the smallest common multiple of 4120 and 5768.
28840
What is the smallest common multiple of 6 and 68?
204
Calculate the common denominator of 19/282 and 103/48.
2256
What is the smallest common multiple of 156 and 1634?
127452
Find the common denominator of 17/264 and -59/318.
13992
What is the lowest common multiple of 61 and 132?
8052
What is the lowest common multiple of 39 and 9?
117
Calculate the common denominator of -55/9 and 7/10683.
10683
Calculate the least common multiple of 704 and 8.
704
Find the common denominator of -91/22 and 85/18.
198
What is the least common multiple of 31764 and 9?
95292
Calculate the common denominator of -22/153 and 6/85.
765
Calculate the smallest common multiple of 96 and 8.
96
Calculate the smallest common multiple of 1116 and 144.
4464
Calculate the common denominator of 121/1020 and 107/36.
3060
What is the common denominator of -31/666 and -53/74?
666
Calculate the smallest common multiple of 96 and 512.
1536
Calculate the smallest common multiple of 1380 and 24.
2760
Calculate the common denominator of 93/2200 and 123/2200.
2200
What is the lowest common multiple of 8 and 28?
56
What is the lowest common multiple of 30 and 119?
3570
What is the smallest common multiple of 321 and 9?
963
What is the common denominator of 67/448 and 53/640?
4480
What is the least common multiple of 4536 and 56?
4536
Calculate the smallest common multiple of 91 and 182.
182
What is the lowest common multiple of 108 and 132?
1188
Find the common denominator of -95/12 and 57/268.
804
What is the smallest common multiple of 3486 and 1?
3486
What is the common denominator of -56/141 and 42/517?
1551
Find the common denominator of -73/33 and -199/210.
2310
What is the common denominator of 29/66 and -97/48?
528
What is the common denominator of -109/200 and -61/140?
1400
Calculate the lowest common multiple of 3 and 201.
201
Calculate the least common multiple of 52 and 18.
468
What is the lowest common multiple of 30 and 402?
2010
Calculate the least common multiple of 1364 and 220.
6820
Find the common denominator of -125/324 and -77/60.
1620
Calculate the common denominator of -5/133 and -35/361.
2527
What is the common denominator of 49/450 and -43/55?
4950
Calculate the common denominator of 29/13400 and -9/3350.
13400
Calculate the lowest common multiple of 56 and 1408.
9856
Calculate the smallest common multiple of 153 and 85.
765
What is the common denominator of -41/60 and 48/19?
1140
Find the common denominator of -123/440 and 39/44.
440
Calculate the lowest common multiple of 11 and 30.
330
Calculate the common denominator of 5/832 and 123/320.
4160
What is the lowest common multiple of 80 and 250?
2000
Calculate the smallest common multiple of 9 and 1026.
1026
What is the least common multiple of 28 and 2?
28
Calculate the common denominator of 1/273 and -20/973.
37947
What is the least common multiple of 28 and 14?
28
Calculate the common denominator of -133/96 and -61/6.
96
Calculate the common denominator of 21/13 and 36/7.
91
Find the common denominator of -61/2 and -61/30.
30
Calculate the common denominator of -99/4 and 109/15720.
15720
Calculate the common denominator of 5/16 and 69/14.
112
Calculate the lowest common multiple of 4121 and 143.
45331
Calculate the common denominator of -11/9 and 1/157.
1413
What is the common denominator of 131/144 and -79/564?
6768
What is the smallest common multiple of 210 and 30?
210
Find the common denominator of 49 and 109/240.
240
Find the common denominator of -7/968 and 91/264.
2904
What is the common denominator of -43/1206 and -25/1474?
13266
What is the least common multiple of 46 and 8?
184
Find the common denominator of 95/33278 and 97/6.
99834
What is the common denominator of 49/80 and 59/152?
1520
What is the smallest common multiple of 81 and 90?
810
Calculate the common denominator of -43/40 and 151/1608.
8040
What is the common denominator of -99/28 and 79/54?
756
Calculate the common denominator of -63/2 and 36/157.
314
Find the common denominator of -77/306 and -55/12.
612
Calculate the smallest common multiple of 24 and 24.
24
What is the common denominator of -28/19 and 43/152?
152
Find the common denominator of -62/621 and -79/45.
3105
Calculate the smallest common multiple of 570 and 4.
1140
Calculate the least common multiple of 32 and 68.
544
Find the common denominator of -69/400 and -117/20.
400
Calculate the smallest common multiple of 20 and 620.
620
What is the least common multiple of 21964 and 4?
21964
What is the common denominator of -5/756 and 149/3780?
3780
Calculate the common denominator of -2/835 and 28/167.
835
Calculate the common denominator of 89/782 and 33/20.
7820
Find the common denominator of -123/3190 and -11/203.
22330
Calculate the lowest common multiple of 348 and 12.
348
Calculate the least common multiple of 8 and 12220.
24440
Calculate the least common multiple of 1468 and 6.
4404
Calculate the least common multiple of 196 and 308.
2156
Calculate the lowest common multiple of 1500 and 190.
28500
What is the lowest common multiple of 590 and 430?
25370
Calculate the common denominator of 13/18 and 77/219.
1314
What is the lowest common multiple of 1148 and 738?
10332
Find the common denominator of -115/6 and 33/64.
192
Calculate the smallest common multiple of 250 and 3.
750
Find the common denominator of -73/76 and -7/190.
380
Calculate the common denominator of 151/132 and -61/36.
396
What is the smallest common multiple of 72 and 72?
72
Calculate the least common multiple of 42 and 126.
126
Calculate the least common multiple of 7 and 476.
476
What is the lowest common multiple of 198 and 198?
198
What is the common denominator of 68/7839 and -7/33?
86229
What is the lowest common multiple of 666 and 222?
666
Find the common denominator of -13/99 and -107/66.
198
Calculate the lowest common mult
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + m + t*o**3 + s*o and give m.
0
Rearrange -62*i**3 + 1901 + 60*i**3 + i - 1905 + 10*i**2 + 7*i**4 to the form o*i + t + y*i**2 + l*i**4 + x*i**3 and give x.
-2
Express 102*q**2 + 1547*q + 67*q**2 - 1553*q as u*q + z*q**2 + g and give z.
169
Rearrange -151*f**3 + 19*f**2 - 19*f**2 + 37 - f**4 + 146*f**3 - f to o*f**4 + k*f**3 + m*f + h*f**2 + b and give o.
-1
Rearrange 2463*o + 2565*o - 4658*o to the form f*o + j and give f.
370
Rearrange -22*u**2 + 7*u + 1 - 6*u**2 - 8*u**2 - 43*u**2 - 11*u**2 - 2*u**3 to the form a*u**3 + n*u + h + y*u**2 and give y.
-90
Rearrange 86*h**2 + 38*h**2 + 59*h**2 + (-3*h**2 + 5*h - 5*h)*(-2 - 2 + 2) + 5*h**2 + 3 - 3 to the form l*h + f*h**2 + k and give f.
194
Rearrange -306*w**2 + 1222*w**2 - 304*w**2 + w**3 - 309*w**2 + 411 - 300*w**2 to l*w**3 + f*w**2 + j*w + b and give f.
3
Express 24929*k**2 + 137785165 - 137785165 in the form l*k + c + n*k**2 and give c.
0
Rearrange (f + 0 + 0)*(0*f + 2*f + 5*f)*(-3907 + 5990 + 5623) to the form s*f**2 + b*f + q and give b.
0
Rearrange -264269*n + 131441*n + n**2 + 131300*n to the form z*n**2 + o + b*n and give b.
-1528
Rearrange 4*h**4 - h**3 - 150486*h + 75238*h - 2 + 15*h**2 + 75244*h to the form f*h**4 + p*h + a + z*h**3 + q*h**2 and give f.
4
Express -9073*o - 6429*o + 2 - 3629*o - 7657*o in the form x*o + r and give r.
2
Express 2*l + 203373*l**2 - 203286*l**2 + 2*l in the form d*l + t*l**2 + r and give t.
87
Rearrange (206 + 158 + 64)*(207*b - 230*b + 152*b + (0 + 2*b + 0)*(-4 - 2 + 4) + 0 + 2*b + 0) to the form c + w*b and give w.
54356
Rearrange 9 + 47*m - 15*m + 12 - 8*m - 44 to the form h + p*m and give p.
24
Rearrange 0 + 0 - t + (t - t - t)*(4 + 0 - 5) + 0*t + 4*t - 3*t + 29941*t + 30749*t - 61540*t to the form g*t + i and give g.
-849
Express -57*y**3 + 2*y**4 + 17*y**3 + 128*y**3 + 7 as h + g*y + r*y**2 + f*y**4 + x*y**3 and give x.
88
Rearrange 2 + 739*b - 229*b + 822*b + (-1 + 1 - 2)*(0*b + 3*b - 4*b) - b + 0 + 0 to the form r + a*b and give r.
2
Express (-1055 + 4*t - 26*t + 1064)*(-t - 3 + 3) as b*t**2 + l*t + m and give b.
22
Express -8*b + 394 + 3*b + 6*b + 2832 + 2994 in the form h*b + o and give o.
6220
Rearrange 2*m**2 + 1226*m + 2*m**3 - 1375 + 1359 + m**4 - 1225*m to the form k + x*m**4 + r*m**2 + t*m + o*m**3 and give r.
2
Rearrange 3099*x + 1407 + 17*x**2 - 1472 - 3094*x to the form l*x + g + o*x**2 and give o.
17
Rearrange (-1 - 2 + 0)*(7408*t**4 + 5317*t**4 - 16547*t**4) to the form y*t**2 + g*t**3 + r*t + w*t**4 + a and give w.
11466
Express (0 + 1 + 2)*(1 + 0 + 1)*(4 - t - 4)*(-7073 + 11*t + 7073) in the form l*t + h + f*t**2 and give f.
-66
Express (-80*n - 547*n + 118*n)*(-2 + 0 + 6)*(-2 - 3 + 4)*(-2 + 4 - 1) as s*n + l and give s.
2036
Rearrange 0 + 0 + 2*s**4 + (2*s + 4 - 4)*(5 - 5 + s**3) + (211*s - 19608 + 19608)*(s**3 + 35 - 35) to the form p*s**4 + t*s + c*s**3 + r + k*s**2 and give p.
215
Rearrange ((-3 + 0 + 2)*(2 - 2 + 1) - 6 - 2 + 2 + 3 - 5 + 0)*(-5*z + 4*z - 8*z) - 42*z - 38*z + 9*z to m*z + x and give m.
10
Rearrange (4 - 3 + 0 - 2*n)*(2392 - 1040 - 4) to w + j*n and give w.
1348
Rearrange 0*j**3 - 2*j**2 + 3 + 3*j**4 + j**3 - 3*j + 138*j + 11*j to g*j**4 + z*j**2 + d + y*j**3 + b*j and give g.
3
Express 11*k**2 - 15*k - 168 + 168 - 3 + 3 + 2*k**2 + (-2*k + 0 + 0)*(-2*k - k + k) + 2*k**2 + 6 - 6 as i + y*k**2 + u*k and give y.
19
Rearrange -2 + 2*s**2 - 2 - 2*s - s**4 + 4 + 10540*s**3 - 10535*s**3 to q + n*s**4 + a*s**2 + m*s**3 + l*s and give l.
-2
Express -224*y**3 + 4*y - 3*y**2 + 0*y + 3*y**2 - 2 + 475*y**3 in the form k*y**2 + s*y + u + w*y**3 and give s.
4
Rearrange -6*h**3 + h**2 - 79 + 6*h + 2*h**4 + 3*h**3 - 19*h**3 + 75 - h**3 to the form o*h + n + u*h**2 + b*h**3 + l*h**4 and give o.
6
Rearrange -143*n + 170 - 2*n**2 + 40*n + 104*n to the form q + r*n**2 + u*n and give r.
-2
Express 1344*f**2 + 1250*f**2 - 359*f**2 + 804*f**2 in the form x*f**2 + u + m*f and give x.
3039
Rearrange -388*n**4 - 7*n**4 - 4*n**3 - 3*n + 37 + n**3 - 35 - 3*n**3 to j + d*n + v*n**3 + a*n**2 + y*n**4 and give v.
-6
Rearrange (-4 - 1 + 3)*((1 - 1 - 1)*(0 - 3 - 1) + 0 - 1 + 0 + 4 - 4 - 2)*(5*r - 22*r - 117*r) to f + h*r and give h.
268
Express (h + 2*h - 5*h)*(-h + 8 - 8)*(-1003*h - 1147*h - 1905 + 2151*h) as c + n*h**3 + o*h + l*h**2 and give l.
-3810
Rearrange z**4 - 2*z + z**2 + 0*z**3 + 4*z**4 + 14 - 17 - 3*z**4 - z**3 to the form r*z + u*z**2 + a*z**3 + b*z**4 + y and give a.
-1
Express (-3 + 0 + 1)*(-4*l - 5*l + 1 + 6*l)*((1 - 1 - 2)*(-282 - 94 + 114)*(-2 - 1 + 9) + 1 + 3 - 5) as d*l + k and give d.
18858
Rearrange (-5 + 5 + 1)*(-8 + 0 + 2 + (-3 - 1 + 3)*(-1 + 3 - 1) + 5 - 4 - 4 + 2 - 2 - 4)*(-3*i + 0*i + 5*i) to the form f*i + j and give f.
-28
Express (-13*q**4 + 10*q**4 + 10*q**4)*(84 + 169 + 719 + 27) in the form p*q**3 + x + z*q**4 + h*q**2 + f*q and give z.
6993
Rearrange m**2 - 156133 + 3*m - 3*m + 156100 to the form u*m**2 + b + g*m and give b.
-33
Express -5*p**2 + 5*p**2 + 5*p**2 + (5*p + 0*p - 4*p)*(5*p - p - 2*p) + (p + 0*p - 7*p)*(-14*p - 3 - 7*p - 9*p) in the form i + t*p + d*p**2 and give t.
18
Rearrange -353729 + 353729 + 3484*n to the form t + l*n and give l.
3484
Express -5210 + 848 + q - 2153 - 8882 + 2621 in the form u*q + v and give v.
-12776
Express ((1 + 4 - 4)*(-3 + 1 + 1) - 4 + 4 + 10)*(-5*o - 19*o - 16*o)*(-3 + 19 + 1) as x*o + p and give x.
-6120
Rearrange -510*r + 220*r + 16*r**2 + 291*r to the form h*r**2 + o*r + n and give h.
16
Rearrange -1093*a**2 - 869*a**2 + 165*a**2 - 247*a**2 - 1605*a**2 to u + r*a**2 + s*a and give r.
-3649
Rearrange 3*r - 81 - 44 - 505 - 289 + 91 to l + p*r and give p.
3
Rearrange -44*d**2 - 35*d**2 + 13*d + 78*d**2 + 25*d - 118*d**3 - 27*d to the form t*d**2 + y*d + m*d**3 + f and give y.
11
Express 14*f + 78*f**2 - 14*f + 201*f**3 + 74*f**2 - 151*f**2 in the form z*f + o*f**3 + v*f**2 + q and give v.
1
Rearrange 8*b + b**4 + 10*b**3 + 927 - 2*b**2 - 927 to u*b**4 + a*b + p*b**3 + c*b**2 + i and give a.
8
Express (-p**2 + 0 + 0)*(4 - 5 - 7)*(-4*p + 14*p + 14*p + (p - 3*p + 3*p)*(1 + 1 + 0) - 1 - 4*p + 1) as s*p + a*p**3 + g + k*p**2 and give k.
0
Express -2 + 37139*p - 38592*p + 1 as x*p + s and give s.
-1
Express (0 + 0 - 1)*(-70*q + 86 + 35 + 65*q) as g + l*q and give g.
-121
Express -226 - 45*o**2 + 226 + 2 - 2 + 2*o**2 + (-5*o + o + 3*o)*(-1 + 1 - 2*o) - 99*o**2 + 51*o**2 - 205*o**2 in the form m*o + r + h*o**2 and give h.
-294
Express 59*w**3 + 1151*w**2 - 216*w**3 + 82*w**3 - 3 + 77*w**3 + w in the form t*w**3 + h*w**2 + y*w + n and give y.
1
Rearrange (56*c + 35*c + 338*c)*(2 + 0 + 0)*(4 + 6 - 7) to x + l*c and give l.
2574
Express 8*i**2 + i**3 - 11*i**2 + 77*i**3 + i**3 + 23*i**3 as g + q*i**3 + n*i**2 + m*i and give n.
-3
Express -193*k**2 + 584*k**2 - 229*k**2 + (-k - k + 4*k)*(11*k - 1 + 1) - 2*k**2 + 4*k**2 - 3*k**2 in the form v + z*k**2 + t*k and give v.
0
Express -613*n + 111*n + 16 - 5 - 624*n as c + h*n and give c.
11
Express -17*r**2 - 12 - 16*r**2 + 6*r + 29*r**2 - 8*r**2 - 30*r**2 as u + y*r + t*r**2 and give y.
6
Express -80*g**2 - 35*g**2 - 52*g**2 + (-3*g + 2*g + 3*g)*(47*g - 53*g + 105*g) in the form f + w*g**2 + k*g and give w.
31
Express (2 - 2 + 1)*(3*m - 4*m - m)*(27*m + 14 - 11 - 7*m) + (0 + 0 + m)*(0*m - m + 3*m) - 15 + 15 + 10*m**2 in the form a + d*m**2 + b*m and give d.
-28
Rearrange -21167658*z + 21167658*z + 6*z**2 + 698 to b*z**2 + y + q*z and give b.
6
Express -524*y - 1415*y - y + 584*y - 1930*y in the form p*y + h and give p.
-3286
Express (3 - 5 + 3)*(c**3 + 2*c**3 + 0*c**3 + (-3*c + 3*c + c)*(36015 + 410*c**2 - 36015)) in the form m + y*c**2 + s*c + o*c**3 and give y.
0
Express 2*n**4 + 2*n**4 + 24*n - 77*n + 0*n**3 + 7*n**3 - 5*n**3 + 23 in the form c*n**2 + m*n**4 + k*n**3 + q + g*n and give k.
2
Express 11670*l - 1189*l - 14727*l - 12884*l - 11902*l as k*l + f and give k.
-29032
Rearrange 18*n**2 + 2*n**3 - 304*n - 661 + 304*n - 4*n**2 - 16*n**2 to i*n**2 + m*n**3 + l + s*n and give l.
-661
Express -204 - 3*i**2 + 291*i + 66 + 138 as l + m*i**2 + w*i and give w.
291
Rearrange 66*m**3 - 4 - 2 - 5*m - 2 - 67*m**3 - 6*m to the form o*m**3 + k + b*m + a*m**2 and give b.
-11
Express (-133 + 133 - 18*w)*(0*w + 0*w - 4*w**2) + 5*w**3 + 8*w**2 - 5*w**3 - 3*w**3 in the form c + b*w + n*w**3 + p*w**2 and give n.
69
Express 2 - 2*o**2 + 2*o*
|
{
"pile_set_name": "DM Mathematics"
}
|
for l.
-1
Solve -17*x - 23 = 5*a - 16*x, a + 11*x + 37 = 0 for a.
-4
Solve 5*j - 10 = -5*l, 487*j = l - 491*j + 980*j for l.
4
Solve 4*b = -m + 16, -58 = -b - 3*m - 65 for b.
5
Solve 18*p - 5 = 5*p + 8*p, -p - 2*p = -t for t.
3
Solve -1175*o - 24 = -1169*o, -4*o = 4*m + 20 for m.
-1
Solve f + 7884 = -3*i + 7888, 3*f = -3*i + 12 for i.
0
Solve -9*y - y = -3*t - 69, 6 = -4*t - y for t.
-3
Solve -5*t + 5 = -4*a, 0 = 5*a - 1233*t + 1237*t - 45 for a.
5
Solve -3*o - 673 = -3*x - 616, 0 = 3*o - x + 13 for o.
3
Solve 18*f - o - 18 = 16*f, -f - 2*o - 51 = 0 for f.
-3
Solve 119*t = -2*l + 116*t + 9, 5*l + t = 3 for l.
0
Solve -5*y - y = -2*k - 0*y, -4*k + 17 = 5*y for k.
3
Solve 3719*r - 80 = 3714*r, -3*l - 4*r + 67 = 0 for l.
1
Solve -4673 = -u - 4671, 3*l - 5*u = -25 for l.
-5
Solve -4*u + 38 = -5*c, 16*c + 11 = -5*u - 0*c - 7*c for u.
7
Solve 16616*w + 4*g - 23 = 16615*w, -20 = 5*w - 7*g for w.
3
Solve -2*a + 7*a + 25 = -x, 47 = 2*a - 11*x for a.
-4
Solve 12*f + 3*x + 42 = 0, 99*x + 36 = -3*f + 94*x for f.
-2
Solve -217*c + 23 = -215*c - y, -2*c = 5*y + 7 for c.
9
Solve 0 = -106*z + 108*z - 36*d + 74, -3*z + d = 5 for z.
-1
Solve -h = 5*t + 1, 0 = -94*t + 91*t + 5*h + 5 for t.
0
Solve 4*k - 2143 = 2*o - 2195, -2*o + 2*k = -42 for o.
16
Solve -3*i - 9390*q = -9387*q + 3, 4*i - 17 = 3*q for i.
2
Solve -2*h = -0*h + 6, 2*v - h + 2*h + 3*h = 0 for v.
6
Solve 3*j = 2*k - 1, 21964*k - 21961*k = j - 9 for k.
-4
Solve -4*d - z = -27, -4*z = 63*d - 66*d + 6 for d.
6
Solve y - 9 = -0*p + 3*p, -274*y - 26 = -278*y + 2*p for y.
6
Solve -3*o = 2*g - 1, g - 2*o = 17 - 13 for g.
2
Solve -4*w - 8 = -4*c, 4*w = 4*c + c - 11 for c.
3
Solve -21*v + 5*x + 47 = 0, 9*v + 2*x + 12 = 14*v for v.
2
Solve -2*k = 2*k + 2*w, -50*k + 4*w - 9*w = -45*k for k.
0
Solve 4*p + 9 = -458*c + 461*c - 2, 3*p + 30 = -5*c for c.
-3
Solve 2*q = -5*r, -925*q = 5*r - 910*q - 65 for r.
-2
Solve 0 = 3*x - 5*o + 21, 124 = -4*x + 12*o + 96 for x.
-7
Solve -3*a + p + 5 = 0, 7 = 9*a - 6*a + p for a.
2
Solve 3*n - 24 = 2*u - 4*n, u + n + 3 = 0 for u.
-5
Solve 23*s + 2*k = 26*s - 3, 3*s = 3*k for s.
3
Solve 5*w + 3*o = -11, 254*o - 31 = 2*w + 259*o for w.
2
Solve -f + 5*a - 11 = 0, -f - 2 = 563*a - 565*a for f.
4
Solve 7*c + 25 = 2*n, -9*c + 4*n = -13*c + 32 for c.
-1
Solve -228963*v = -228966*v + 15, 27 = -2*n + 5*v for n.
-1
Solve -3*s + 56*w + 20 = 60*w, -7*w = -s + 15 for s.
8
Solve 0 = -3*w + l - 23, 310 - 215 = w + 7*l for w.
-3
Solve 3*n - x - 462 + 471 = 0, 0 = -2*x for n.
-3
Solve s + 21 = -3*k, 133*s - 18 = 137*s + k for s.
-3
Solve -67*i + 68*i + 2*u = -2, 5*u - 4 = 2*i for i.
-2
Solve 3*k = -3*z - 6 + 3, 0 = z - 5 for k.
-6
Solve y - 3*p = 69, -6*y - 43*y - 3*p + 81 = 0 for y.
3
Solve -8*j + 2*n - 141 + 115 = 0, 4*n = 3*j for j.
-4
Solve 4*c = 4*o + 177 - 137, -4*c = -o - 31 for o.
-3
Solve 4*s - k + 26 = 0, -6*s = 514*k - 509*k for s.
-5
Solve 4*r + 16 = 4*g, -9017*r = -g - 9020*r - 12 for g.
0
Solve b - 5*i = 1 + 4, 15*i - 21 = 5*b + 13*i for b.
-5
Solve -j - 43 = -3*x - x, 0 = -2*x + 3*j + 29 for x.
10
Solve -13*o + 14 = -8*o - v, 5*o = 5*v - 10 for o.
4
Solve -5*f = 2*n + 45, 0 = -11*n + 8*n + 4*f - 10 for n.
-10
Solve 0 = q + 5*i - 33, 0 = -14*q + 9*q - 3*i + 33 for q.
3
Solve -d - 5 = a, 3*d - 1311*a = -1305*a - 6 for d.
-4
Solve 2*c + 14 = 3*f, -4925*c = -4921*c + 5*f + 6 for c.
-4
Solve 5*g - 73 = 4*u, -u - 354*g - 20 = -357*g for u.
-17
Solve -68 = -4*a - 4*f, -31*a + 36*a - 6*f = 85 for a.
17
Solve 4*y - 5*r - 20 = 0, 343*y + 31 = 340*y - 2*r for y.
-5
Solve 9*v + 5*b - 16 = 7*v, -v - 3 = -3*b for v.
3
Solve 0 = 3*u - 7*u + 6*r, -4*u - 6*r - 7*r = -38 for u.
3
Solve 0 = -k - 3*d - 7, k - 4*d = -2*d + 13 for k.
5
Solve -5*t + 20 = 4*k, 5*k - 2015 = 2*t - 1990 for t.
0
Solve 0 = -2*v - 3*s - 26, 38 = 14499*v - 14503*v + s for v.
-10
Solve n + 5*d + 661 = 664, -3*n = 6*d - 18 for n.
8
Solve 16 = 5*k - 2*a, -3*k - 2*a + 11 = -5 for k.
4
Solve -5*f - 33*q + 2 = 0, -q + 28 = 29 for f.
7
Solve 109*i - 2*z = 110*i, z = 3*i + 7 for i.
-2
Solve -4*f - 2077 + 2067 = -t, 10 = -2*t - 2*f for t.
-2
Solve 633*i = 631*i + 3*j + 1, j = -i - 12 for i.
-7
Solve 3*r + 4*o = 0, -39*r + 36*r + 3*o = 0 for r.
0
Solve 4*h + 146 = 14*u, 3*u + 2*h - 59 = -2*u for u.
11
Solve 0 = i - b + 16, -29*b + 11*b + 15*b + 15 = 0 for i.
-11
Solve -5*z - 13 = 3*a - 7*a, -4*a = -z + 7 for z.
-5
Solve -3*w = -21, -j - 2*j + w - 1 = 0 for j.
2
Solve -i = -4*y - 2, -134*i + 119*i = 5*y - 30 for y.
0
Solve h - 6 = -5*g, 112*h = 84*h + 2*g + 168 for h.
6
Solve -5*l + 13 = 3*y, y + 2*l - 64 = -59 for y.
1
Solve 64*b - 61*b - 7*j - 103 = 0, -4*b - 49 = 5*j for b.
4
Solve -5*h = -4*q + 3, -6113*q - 2*h = -6114*q + 3 for q.
-3
Solve -9*g - 2*d + 44 = -5*g, g - 25 = -4*d for g.
9
Solve -5*d - 5*r + 20 = 0, -70 = 374*d - 369*d - 5*r for d.
-5
Solve 2*p + 8*r - 31 + 15 = -20, 0 = -5*r for p.
-2
Solve -138*z = l - 118*z + 34, -14 = -3*l - 2*z for l.
6
Solve 5*t - 6 = -29*h + 55*h - 23*h, 0 = t for h.
-2
Solve 2*n + 8 - 6 = -2*f, -6 = 5*n + 4*f for n.
-2
Solve 3*m - 9 = -3*x, -5*x + 4*m - 16*m + 12 = -10*m for x.
2
Solve -3*u - 22 = -g, -5*g = 731*u - 734*u - 2 for u.
-9
Solve -2*y - 12*j = -56, -140*y + 141*y + j - 13 = 0 for y.
10
Solve -4*r + 127*k = 129*k - 6, 4*k = 7*r - 63 for r.
5
Solve 34*k - 40 = 29*k - 5*a, 5*a - 56 = 3*k for k.
-2
Solve 0 = 2*j - k - 5, -5*j + 91*k - 92*k + 30 = 0 for j.
5
Solve 2*l + 4*c - 20 = 0, 19*l + c + 13 = 23*l for l.
4
Solve 4*j - 7*j + 51 = 5*z, -5*j + 3*z = 17 for j.
2
Solve -67*a + 72*a + 2*c = 4, 4*a + 15 = c for a.
-2
Solve -3*c - 4*n - 2 = 0, 4176*n = 3*c + 4175*n + 7 for c.
-2
Solve -9957 = -q - 2*k - 9964, 0 = 5*q - 3*k - 17 for q.
1
Solve 0 = 11*p + 71*d - 66*d - 26, -3*d + 46 = -p for p.
-4
Solve -6*n - 9 = -5*d, 4*n - 7807*d = -7809*d + 10 for n.
1
Solve -r - 1927*z = -1925*z + 5, 4*r + 20 = -7*z for r.
-5
Solve 0 = -4*l + 2*c - 20, 66 = 2*c + 58 for l.
-3
Solve 0 = 5*n + 2*g + 1622 - 1605, 3*n + 8 = g for n.
-3
Solve -5*i - 17 = n, 192*n - 189*n - 9 = 0 for i.
-4
Solve -42 = 3*l + 4*y - 31, 23 = -5*l - 2*y for l.
-5
Solve 0 = -z + 5, 4*b + 2*z + 4154 = 4152 for b.
-3
Solve -1969*a = -1965*a + l + 23, -3*l - 9 = -3*a for a.
-4
Solve -17*l = 3*w - 16*l + 10, 20*w = -2*l - 90 for w.
-5
Solve -3*r - 2*h + 801 = 753, 0 = -5*r - 4*h + 80 for r.
16
Solve 3*o + 3*u = 21, -2676*o - 3 = -2675*o - 4*u for o.
5
Solve 5*m = 5*b - 5, m + 3*b = 2664 - 2649 for m.
3
Solve 2*s - 5*d + 41 = 82, 3*s = 3*d + 21 for s.
-2
Solve 72 = 3*m + 3*s, 343019 = -5*m - s + 343051 for m.
2
Solve -40 = 11*u - n, 74*u - 5*n = 77*u + 32 for u.
-4
Solve 1 = -l + 2*n + 3, 26*l - 21*l + 20*n + 20 = 0 for l.
0
Solve 5*v + 8 = -4*a, 449*a - 447*a + 4 = 0 for v.
0
Solve -2*n - 136 = y - 154, -2*y - 3*n + 27 = 0 for y.
0
Solve 0 = 4*b - 2*v - 12, b - 4*b = -4*v - 9 for b.
3
Solve 0*a = -5*a - 5*q - 10, 0 = -2*a - 387*q + 390*q + 1 for a.
-1
Solve h + 14 = 3*j, 0 = 3*h - 57*j + 80*j - 54 for h.
-5
Solve -32*h + 37*h = 3*x - 63, -42 = -4*h - 2*x for h.
0
Solve -f = -19, 79*n + 4*f - 17 - 47 = 76*n for n.
-4
Solve v + 5*h - 73 = -74, 11*v = h - 11 for v.
-1
Solve -28 = -a + 4*t, 9*t = 4*a + 8*t + 8 for a.
-4
Solve 5*z - 3*x = -21, 5*x + 1931 - 1966 = -2*z for z.
0
Solve 3*y = 3*z + 36, -232*y + 235*y + 3*z = -66 for y.
-5
Solve -5*c = d - 126, -c - 4*c + 15*d + 110 = 0 for c.
25
Solve -93*u = -5*c - 97*u - 9, u = 20*c + 19 for c.
-1
Solve 2*c - 1 = -3*f, 175*c - 350*c - 15 = -178*c for f.
-3
Solve -3*s - 48 = o, 16232*o - 16232*o = s + 15 for o.
-3
Solve -104*g + 130*g - 5*m = 52, -2*m - 46 = -2*g for g.
-3
Solve -3*d = 9, -355*l = -358*l - 5*d + 6 for l.
7
Solve 4*a - 474 = -5*f - 434, 4*a = 3*f + 8 for f.
4
Solve 4*j + 99*b - 97*b = 0, 5*j - b - 6 = 4*j for j.
2
Solve d - 9 = t + t, -117*t + 115*t - 30 = -4*d for t.
-1
Solve -4*k + 5*p - 25 = 10*p, 16*k = 3*p - 77 for k.
-5
Solve -21*q + 4*k + 4 = -19*q, 4*q = -23*k - 85 for q.
-4
Solve -o - 160*p = -157*p + 9, 4*o - 4*p - 12 = 0 for o.
0
Solve 0 = -5*k + 5*q - 6 - 19, -22 + 16 = -6*q for k.
-4
Solve 2*t + 67 = 2*w + 63, -19 = -2*w - 3*t for w.
5
Solve 4*t = 4*q - 20, 0 = 8*t - 10*t + 3*q - 15 for t.
0
Solve 3*x = -128 + 143, -4*d - 15 = 5*x for d.
-10
Solve 5*k - 5*r + 5 = 0, 5*k - 7*r - 47 = -62 for k.
4
Solve 4*i - 1016*q + 1017*q = 12, -i = -3*q - 16 for i.
4
Solve
|
{
"pile_set_name": "DM Mathematics"
}
|
d = -5*b + 18, -7 + 4 = -d. Let w = -3 - -2. Let j(m) = -2*m**2 + m + 2. Let o be j(w). Sort o, 1, b.
o, 1, b
Let o be ((-2)/(-4)*-1)/(-1). Let n = -20 - -9. Let u = n - -6. Sort 1, o, u.
u, o, 1
Suppose 0 = 2*m - 4, -4*y - 5*m + 2 = -2*y. Let z = -173 + 176. Put -5, z, y in ascending order.
-5, y, z
Let x = 31 + -33.1. Let r = -0.9 + x. Put -0.2, r, 0.4 in ascending order.
r, -0.2, 0.4
Suppose 0 = h - 4, z = 3*h - 7 - 2. Let x be 84/(-16) + (-2)/(-8). Sort x, 1, z in ascending order.
x, 1, z
Let g = -4.8 + 4.5. Sort -0.5, g, -0.8 in ascending order.
-0.8, -0.5, g
Let d = 2 - 1.9. Sort 5, d, 0.
0, d, 5
Suppose 5*u - 5 = 3*l, 0*l - 4*l - 26 = 3*u. Let k be 10/4 + u/1. Let v = -12 - -11.9. Put -5, v, k in descending order.
k, v, -5
Suppose 4 - 14 = -5*l. Let a be l/8 - 19/(-4). Put 0.3, -4, a in descending order.
a, 0.3, -4
Let m be (-4)/6*(-4 - 2). Sort 3, m, 0 in descending order.
m, 3, 0
Suppose -6 = -3*o - 5*y, 5*o - y = -6*y + 10. Sort -4, -3, -1, o in increasing order.
-4, -3, -1, o
Let o be 4*((-10)/8 - -1). Suppose -3*t + 0 = -6. Suppose -t*m = -5*m. Sort o, 5, m in descending order.
5, m, o
Let t(o) = -2*o - 1. Let i be t(-6). Let w = -15 + i. Let q(m) = m**3 + 5*m**2 + 5*m + 4. Let y be q(w). Put y, 3, -1 in increasing order.
-1, y, 3
Suppose 4*n + 41 = -5*w, -3*n = 2*w - 5*n + 2. Let z = -13 - -13. Sort w, 4, z in descending order.
4, z, w
Suppose 0*n + 17 = 3*i - 2*n, 2*i - 12 = 2*n. Sort -3, 2, i in descending order.
i, 2, -3
Suppose 2*i - 4*r + 2 = r, 0 = i - 5*r + 1. Let m = -10 + 12. Put i, m, -2 in decreasing order.
m, i, -2
Let y = 0.04 + -2.04. Suppose -5*m + 14 = -2*v, 3*m + 2 = -2*v - 2*v. Suppose -7*l + m*l + 20 = 0. Sort l, y, -5 in ascending order.
-5, y, l
Let u = 0.05 - 0.05. Let p = u + -0.5. Let t = 4.2 + -4. Put 1/2, p, t in decreasing order.
1/2, t, p
Let q = -19 - -23. Let m = q + -3. Sort 3, 2/5, m in decreasing order.
3, m, 2/5
Suppose 11 = 2*i + 3. Suppose -4*l - 2*o + o = 42, 0 = 5*o + 10. Let g be (-4)/l + (-21)/15. Put g, 2, i in descending order.
i, 2, g
Let t(k) = k**3 + 7*k**2 + 3*k - 5. Let l be t(-6). Let b = l - 16. Sort 3, 5, b.
b, 3, 5
Let a be (3/2 - 2)*1. Let m = a - -1/4. Put -0.4, 2/21, m in descending order.
2/21, m, -0.4
Let p = -92 + 2207/24. Let w = -7/24 + p. Let z be 11 + -14 + (-5)/(-2). Sort 0.4, w, z in decreasing order.
0.4, w, z
Let g = 53.5 - 53. Sort -5, 4, g in decreasing order.
4, g, -5
Let t = 320/1169 - -2/167. Put -3, t, -4 in descending order.
t, -3, -4
Let i = 69 + -69.1. Put i, 1, -38 in decreasing order.
1, i, -38
Let m be 69/(-195) - (8/10 + -1). Sort m, -0.2, 5 in ascending order.
-0.2, m, 5
Let v = 11 + 2. Suppose 3*k = 4*f - 11, v = -2*f + 7*f - 4*k. Sort f, -4, -2 in descending order.
f, -2, -4
Suppose 8 = -4*m - 0*m. Let z be (m + 7/3)*9. Sort -5, z, -3 in decreasing order.
z, -3, -5
Let k be -2 + (-6 + 0)*-1. Let x be -1 - 2 - (4 + -7). Let p be 46/(-8) - (-3)/4. Put k, p, x in ascending order.
p, x, k
Let y = -25 + 22. Sort 2, -2/23, y in descending order.
2, -2/23, y
Let o = 209/4 - 52. Let l = 0.07 + 0.23. Put l, -5, o in ascending order.
-5, o, l
Let k be 3/3*-1*0. Let x(n) = -n**2 + 7*n + 1. Let a be x(7). Sort a, 4, k in ascending order.
k, a, 4
Suppose 5*s - 9 = 16, -5*s = g - 22. Let r = -0.01 + 3.01. Put 2, g, r in increasing order.
g, 2, r
Suppose 3*f - 8 = -k, 7 = k - 2*f + 14. Let n(y) = -y + 1. Let x be n(3). Put x, 6, k in decreasing order.
6, k, x
Let s be 32/112 - 19/(-7). Put 1, s, -2 in decreasing order.
s, 1, -2
Suppose -4 = -p - p. Suppose p*t + 2*t + 8 = 0. Sort 1, t, 5 in decreasing order.
5, 1, t
Let w = 5.05 - 5. Let t = -0.35 - w. Let s = 3 - 3. Sort -2, t, s in decreasing order.
s, t, -2
Suppose -4*g + 20 = 0, -3*x - 2*g = -4*g + 4. Put 0, 3, x in descending order.
3, x, 0
Let b = 2 - -2. Suppose 4*u - 11 = -d, u - b*d + 3*d = 4. Let t = -1144/5 + 228. Sort u, t, 2 in ascending order.
t, 2, u
Let j = 0.4 - 0.15. Let t = 0 - -0.05. Let v = t - j. Put 4/5, v, 5 in decreasing order.
5, 4/5, v
Let x = 0 - -3. Suppose x*a + 2 + 1 = 0. Put -2, -3, a in ascending order.
-3, -2, a
Let k = -18 - -33. Let g = -12 + k. Sort -10, 0.1, g.
-10, 0.1, g
Let s = 55 - 49. Put s, 2/3, 4 in ascending order.
2/3, 4, s
Suppose 5*t - 9 = 2*t, 2*y = 5*t - 9. Let l = 3.5 - 3. Let a = 54 + -56. Sort a, l, y in decreasing order.
y, l, a
Let a = 50 + -32. Sort 0, -0.4, a in descending order.
a, 0, -0.4
Suppose 0 = -2*o + 6*o + 8. Sort -3, 2, 3, o in descending order.
3, 2, o, -3
Let s = 38 - 37. Put -3, 7, 0, s in decreasing order.
7, s, 0, -3
Suppose 2*x + i - 3*i = -2, 5*i - 2 = 4*x. Put 1, 2, x in increasing order.
x, 1, 2
Let o = -9 - -18. Let j = 11 - o. Sort j, -5, -0.2 in descending order.
j, -0.2, -5
Suppose -3*b + 1 + 20 = 0. Put -5, 0, b in decreasing order.
b, 0, -5
Let o = -6 - -8.6. Let b = o - -1.4. Let h = -51/2 + 27. Sort b, h, -0.4 in ascending order.
-0.4, h, b
Suppose 2*j - 8 = -2*j. Suppose -3*m - 5 = 2*s - 16, 4*m - 2*s = -4. Sort m, j, 4.
m, j, 4
Suppose 3*d + 5*n - 35 = 0, -d - 3*d + 4 = -4*n. Let v be 24/(-108) - 508/(-18). Let s be d/(-10) + 10/v. Put 1, 3, s in descending order.
3, 1, s
Let f = 5 + -10. Let u = -9 - f. Sort u, 4, -1/4 in ascending order.
u, -1/4, 4
Let p = -5 - -8. Suppose p*u + u + 8 = 0. Put 4, u, -3 in increasing order.
-3, u, 4
Let u(g) = -g**3 + 4*g**2 + 5*g - 2. Let f be u(5). Suppose x - j + 3 = 0, 2 + 1 = -3*j. Sort f, 4, x in increasing order.
x, f, 4
Suppose 2*f + 1 = s + 7, 5*s + f = 25. Suppose -3 = -s*r + 5. Let j = -255/4 + 64. Put r, j, 3 in ascending order.
j, r, 3
Suppose -2*b - 3*b + 3*w = 5, 0 = 5*w - 25. Suppose 3*h = 2*f - b*h - 39, 30 = 2*f - 2*h. Let i be (f/30)/(6/5). Put i, -1/8, 1/6 in decreasing order.
i, 1/6, -1/8
Let o = -4 + 7. Let f be 2 - 1/(110/252). Let t = f - -1/11. Sort 1, t, o in decreasing order.
o, 1, t
Let l(a) = -a + 1. Suppose 18 = 3*b - 0*c + 5*c, 0 = 2*b - 3*c + 7. Let j be l(b). Let k(f) = -f**2 - f + 3. Let s be k(0). Sort s, -1, j in descending order.
s, j, -1
Suppose -3*x - 12 = 0, -5*x - 21 = -3*i + 5. Suppose 0 = -i*h + 8, 4*y + 2*h = -y + 13. Sort -5, y, 0.
-5, 0, y
Let y be (8/(-18))/((-82)/(-3)). Let z = y + 43/123. Let w(n) = n**3 + 13*n**2 + 8*n - 49. Let d be w(-12). Put d, -0.2, z in ascending order.
d, -0.2, z
Suppose 5*y + 14 + 1 = 0. Let k be (6/8)/(y/12). Sort -4, 3, k in descending order.
3, k, -4
Suppose 2*f = 5*t + 5, 4 - 5 = 4*t - f. Sort -5, t, 0, -4.
-5, -4, 0, t
Suppose 0 = -0*y - 2*y. Let a(k) = -k**3 - 4*k**2 - 4*k. Let t be a(-3). Sort 5, t, y in descending order.
5, t, y
Suppose -4*r = x - 7, r = 2*x - 0*x + 4. Suppose 4*z - 56*k + 54*k = -10, 0 = z + 2*k + 15. Sort z, 0, r in decreasing order.
r, 0, z
Let k = -17 + 21. Sort 1, k, -2 in descending order.
k, 1, -2
Let f = 0.03 + -0.03. Let l(p) = 4*p - 1. Let r be l(-7). Let o = 117/4 + r. Sort -4, o, f.
-4, f, o
Let l(w) = -3*w**2 + 13*w - 8. Let p be l(3). Let h = 10 + 12. Suppose 2*b + 0*q + h = 4*q, -4*b + 11 = 3*q. Put p, 0, b in descending order.
p, 0, b
Let k = 27 + -7. Suppose 6*q - q = k. Put q, 3, 5 in descending order.
5, q, 3
Let u(y) = 2*y + 5. Let g be u(-7). Let p be -1 - ((-6)/g + -1). Put p, -4, -5 in ascending order.
-5, -4, p
Suppose 0 = -10*n + 5*n + 2*a + 21, -4*a = 12. Let d be n*(1 + (-16)/12). Sort -3, d, 0 in decreasing order.
0, d, -3
Let n = 83 + -327/4. Put 1/4, 4, n in decreasing order.
4, n, 1/4
Let y = -34 - -239/7. Let f = -2.9 + 1.8. Let n = f - -1. Put n, 2, y in decreasing order.
2, y, n
Let r = -11/6 - -7/3. Sort -1/2, r, -0.3 in ascending order.
-1/2, -0.3, r
Let o(c) = -2*c. Let d(n) = -n**2 + 5*n + 4. Let r be d(6). Let y be o(r). Suppose 2*z + 7*q + 10 = 4*q, -5*z = -3*q - 17. Sort z, y, 0 in increasing order.
0, z, y
Let h be 25/9 + (-2)/(-9). Let q = h + -8. Sort -1/5, q, 0 in ascending order.
q, -1/5, 0
Let p(q) = q**3 - 10*q**2 - 9*q - 19. Let f be p(11). Put 8, -1, f in increasing order.
-1, f, 8
Suppose y = -3*y + 2*c - 24, 3*c = -3*y - 9. Let q = y + 2. Let a be (8/(-6))/((-2)/6). Put 0, q, a in ascending order.
q, 0, a
Let f = 166.1 - 166. Sort 4/7, -3, f in increasing order.
-3, f, 4/7
Let z be (1*2)/(30/(-6)). Let p = 0.8 - 4.8. Put -3, z, p in decreasing order.
z, -3, p
Suppose -3*g - 14 = b - 0*g, g + 6 = -b. Sort -1/5, -7, b, -3 in decreasing order.
|
{
"pile_set_name": "DM Mathematics"
}
|
16. Let q be w(7). Let d = q - -9. Which is the closest to d? (a) 0 (b) i (c) 2
a
Let h = -17 - -103/6. Let n = -725/1659 + 2/237. What is the closest to 3 in -5, h, n?
h
Let q = -0.16 + 1.36. Let h = 0.2 - q. Which is the closest to h? (a) -0.5 (b) 4 (c) 0
a
Let j = -13 + 15. What is the closest to -2/5 in j, -3, 0.4?
0.4
Let o = -98 + 98.2. Let i = -0.42 - -0.02. What is the closest to 1 in i, o, 3?
o
Let h be ((-64)/20)/(2/(-5)). Let d = -3 + h. Which is the closest to 1? (a) 0.2 (b) 2 (c) d
a
Let v = 8 - 9. What is the nearest to 0 in -1/3, v, 0.2?
0.2
Let s be (7/42)/((-2)/6). Which is the closest to s? (a) 3 (b) -5/2 (c) 5
b
Let w = -4.24 - -0.24. Let k = -1 + w. Let c = 0.9 + -0.6. What is the nearest to 0.2 in k, c, -1?
c
Let c = 3 + -3.3. Let j = 12 - 11. What is the nearest to 0 in j, c, 0.4?
c
Let o = -63/2 - -31. Let p = -232/77 + 30/11. Let g = 179 + -1609/9. What is the closest to p in g, o, -3?
o
Let d = 4.4 - 32.4. Let j = 24 + d. Which is the closest to -4? (a) 2/13 (b) j (c) -0.5
b
Let f be 15/18 - (-4)/(-6). Let x be (-10)/(-44)*(-48)/(-60). What is the nearest to -1/4 in 4/5, x, f?
f
Suppose -6*g = -g. Let o = g + -4. What is the closest to -4 in 1/9, 0.2, o?
o
Let g be ((0 + 0)/(-1 + -1))/2. Let s = -0.2 - 0.8. Which is the closest to g? (a) 5 (b) s (c) 2/5
c
Suppose -5*h + 19 = 4. Which is the nearest to 2/3? (a) -1 (b) h (c) 1
c
Let o = 0.864 + -1.064. Let x be (-3)/(15/4) - -1. Which is the nearest to o? (a) x (b) 3 (c) -2
a
Let a = -46.9 - -45. Let s = -0.1 + a. Let p = s + 2.1. What is the closest to p in -0.2, 5, 0.1?
0.1
Let r = -0.06 + 4.06. Let w = -9 - -10. Which is the nearest to -2? (a) w (b) r (c) 0.3
c
Let o = -319.16 - -314. Let q = -0.16 - o. What is the nearest to 0 in -3, 0.5, q?
0.5
Suppose -6 = -4*a - 2. Let n = -132/245 + -3/49. Let v = 0 + 0.1. What is the nearest to v in -4, n, a?
n
Let o = 28 + -29.3. Let f = -6.3 - o. Let h = f + 5. Which is the nearest to 0? (a) 1/4 (b) 3/7 (c) h
c
Let f = -2.13 + 0.13. Which is the closest to -1? (a) f (b) -5 (c) -1
c
Let d be 2/(-2)*(-22)/33. What is the nearest to d in 0.5, -8, 3/2?
0.5
Let m = -59/168 + 1/56. Which is the nearest to -1? (a) m (b) -4 (c) -3
a
Let w = 0.84 + -0.61. What is the closest to 2/5 in 1, w, -5?
w
Let s = 1.63 - 1.66. Which is the nearest to 0? (a) s (b) -3 (c) 1/8
a
Let m = -1073/1302 + -2/217. What is the closest to -1 in 3, m, -1?
-1
Let a be 2 + (8/(-4) - -3). Suppose 0 - 4 = 4*t, 0 = 5*c + a*t + 23. What is the closest to -0.7 in 2, 1/2, c?
1/2
Let n be (-5)/2*(-7)/175. Which is the closest to 1? (a) n (b) -2/7 (c) -0.4
a
Let z be (-76)/18 - 2/(-9). Let q be (-1)/z + 2/(-4). Let k be 6/15 - (-9)/(-10). Which is the closest to 1? (a) k (b) -0.1 (c) q
b
Let v = 3 + -2.8. Let y = 60 - 64. What is the nearest to y in 2/3, -0.1, v?
-0.1
Let r = -8 - -7.5. Let o = 12 + -7. Let p = -2 + 2.5. What is the nearest to 1 in p, r, o?
p
Let w(v) = 8*v - 7. Let y(q) = -15*q + 13. Let j(t) = -11*w(t) - 6*y(t). Let c be j(1). Let r be (16/(-15) + c)*-3. What is the closest to 2/3 in 1/3, -3, r?
1/3
Let k = -2.2 - -1.5. Let x = 2.7 + k. Suppose 3*z = 3*s - z - 20, -5*z = 5*s + 25. Which is the closest to x? (a) s (b) -0.1 (c) -1/11
a
Let l = 13 - 12. What is the nearest to l in 1/4, -2/11, -5/2?
1/4
Let v(d) = d**2 - 5*d - 2. Let s be v(5). Let q(i) = -i**2 - 3*i. Let p be q(s). Which is the nearest to 1? (a) p (b) -1/5 (c) -3
a
Let u = 0.07 - 0.27. Let q be 12/(-9)*1/(-2). Let b = 301 + -2411/8. What is the closest to u in 2, q, b?
b
Let f be 0 - (4 - (2 + -2)). Let j be (f*1/(-2))/(-2). Let a = 5.5 + -6. What is the nearest to j in a, -4, 1/7?
a
Let g = 28 - 28.4. Let m = -4 + 9. What is the closest to -2 in m, 1/2, g?
g
Let k = 65 + -64.8. What is the closest to -1 in 0.5, k, -0.5?
-0.5
Let j = 14 - 100/7. Let o = 63 + -59. Which is the nearest to 0? (a) 5 (b) o (c) j
c
Let i = -16 - -15.7. What is the nearest to -1 in 2/5, i, 2?
i
Let h be 58/(-14) + (-7)/(-49). Which is the closest to -2? (a) 4 (b) 1/6 (c) h
c
Let s = 11.01 + -11. Let r = -0.09 - s. What is the closest to -1 in 2/11, -0.5, r?
-0.5
Let q = -0.21 + -0.09. What is the nearest to 1/3 in -2/5, q, -0.1?
-0.1
Let o be 17/8 + (-8)/64. Which is the closest to -0.1? (a) 1/3 (b) o (c) -3/2
a
Let w be 55/(-198) + (-2)/9. Which is the closest to -0.1? (a) w (b) -4 (c) 2
a
Let g = 7 - 7.4. Which is the closest to 0? (a) g (b) -18 (c) -4
a
Let q = 2.76 - -0.24. Which is the nearest to q? (a) 3 (b) 1 (c) -5
a
Let x = -9 - -16. Let l = -6.7 + x. Let f(d) = d**3 - 14*d**2 + 16*d - 36. Let v be f(13). Which is the nearest to l? (a) v (b) -0.5 (c) -3
b
Let p = 4 - -2. Let h(t) = t**3 - 6*t**2 - t + 4. Let i be h(p). Which is the closest to -2? (a) -4 (b) i (c) 4
b
Let t = 0.04 - -0.16. What is the nearest to t in -3, 0.1, -2/3?
0.1
Let x = -0.4 + 0.6. Let p = 2.6 - -0.4. Let h = -9.7 - -10. What is the nearest to x in h, -1/8, p?
h
Let p(i) = -i**3 - 12*i**2 - 11*i. Let n be p(-11). What is the nearest to n in -2, 5, 0.01?
0.01
Let x = 1.64 + -1.64. Which is the nearest to 1? (a) -4 (b) x (c) 5
b
Let w = -2 - -2. Let d = -36 - -35. Which is the closest to w? (a) d (b) -0.3 (c) 2
b
Let h = -1011/11 - -92. Let j = -15 + 7. Let o = j + 7. Which is the nearest to o? (a) h (b) 0.2 (c) -2
c
Let o be 24/(-210)*(-1 + (-14)/(-4)). What is the nearest to -0.1 in 3, o, 5?
o
Let x = -5 + 5. Let o = -0.3 + x. Which is the closest to -2/7? (a) o (b) -4 (c) -0.4
a
Let c = 0.2 + -0.3. Let i(p) = -p**2 + 8*p - 11. Let l be i(5). Let r = 0.2 + -1.2. What is the nearest to c in r, 1/2, l?
1/2
Let v(q) = -q**3 + q**2 + 5. Let m be v(0). What is the closest to 1/4 in 15, 0.5, m?
0.5
Let o = -23 - -23. What is the nearest to 0 in 5, -1, o?
o
Let t = 0.3 + -0.8. Let o = -0.5 - 2.5. Let v = 6 + o. What is the closest to -2 in -3, t, v?
-3
Let z = 8376673204/397 - 21099900. Let s = z + -3/794. Let b = s - 33. What is the nearest to 0 in 3, -4, b?
b
Let s be (-1 - -2)/((-5)/4). Let d = -643/5 + 129. Suppose 3 = -3*i - 0. Which is the nearest to i? (a) d (b) 1/2 (c) s
c
Let k be (-2)/(-4) + 7/(-6). Let g = 11.3 + -9.3. What is the nearest to k in 1, g, -5/3?
-5/3
Let r be 8/(-15)*21/28. Let i = -355/117 + 28/9. Let d = -17/52 + i. What is the closest to -1 in 1/3, r, d?
r
Let d = -9 + 21. Suppose 2*c - 5*c - v = 10, -2*c = 2*v + d. What is the nearest to 2/7 in -0.5, c, -4?
-0.5
Let c = 0 + -0.02. Let r = 0.02 + c. What is the nearest to -1/4 in r, 0.2, 2?
r
Let i = 0 + -0.2. Let a = i + 0.1. Let z = 0.14 - 0.24. What is the nearest to a in z, -5, 0.3?
z
Let j = -0.52 - 2.48. Which is the closest to -0.1? (a) -0.3 (b) -1 (c) j
a
Let k = 2.4 + 0.6. What is the nearest to -1 in 5, 0, k?
0
Let b = -289 + 291.91. Let r = b - -0.09. What is the closest to -3 in r, 2, 2/3?
2/3
Let r be 20/3 - (-1)/3. Let l be 2/r + (-613)/14. Let n = l - -787/18. Which is the nearest to -1/4? (a) 1 (b) n (c) 2/3
b
Let k = -0.02 + -0.08. Let m = 0.6 + -0.3. What is the closest to 2/5 in 0.1, k, m?
m
Let k = 44/115 + 2/115. Which is the closest to 0? (a) 4 (b) k (c) 3
b
Let t = -3 + 5. Suppose -t*r = r - 12. Let m = 0.8 - 0.7. Which is the nearest to m? (a) r (b) -0.3 (c) -2/7
c
Let u be -4 - 68/(2 + 2). Let d be (-14)/u*(-9)/6. What is the closest to 1 in 0.5, d, -2/11?
0.5
Let o = -0.8 + 0.9. What is the nearest to o in -0.1, -0.3, 1?
-0.1
Let l = 3.83 + 0.17. Let m = -2 - -3. Let x = m - 0.9. What is the closest to -2 in 5, x, l?
x
Let m = 51 + -105/2. Which is the nearest to -0.1? (a) m (b) -1 (c) 3/2
b
Let m(g) = -g**2 + 4*g - 1. Let t be m(3). Let o(u) = -u**3 + u**2 + 2*u - 1. Let d be o(1). What is the closest to 0.2 in 0.3, t, d?
0.3
Let l = -0.01 - -0.06. Let o = -2.05 + l. Let q be 2/(-10*1/(-2)). What is the closest to 3 in 3, o, q?
3
Let o = 102 + -101.7. Which is the closest to 1/4? (a) o (b) -5 (c) -0.03
a
Let k be (0 + 2 + 1)/4. Which is the nearest to -1/2? (a) k (b) 1/5 (c) -0.6
c
Let t(f) = -f**2 - 10*f + 2. Let p be t(-11). What is the closest to -1 in 1/6, 5, p?
1/6
Let w = 15308/7 - 2183. Let y = -121/35 + w. What is the nearest to y in -0.7, -2, -1/6?
-1/6
Suppose -5 = f - 5*t, 3*t - 20 = 8*f - 4*f. Let q = 2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
x or d?
d
Let w be ((46608/(-63))/1)/2. Let c = 370 + w. Which is smaller: c or -1?
-1
Let g be 6/(-4)*(-8)/(-18). Let t(i) = -2*i**3 - 2*i**2 + 3*i + 2. Let v be t(2). Let n be -8 - -5 - v/6. Which is smaller: n or g?
g
Let c(q) = -11*q**2 + 1. Let l be c(-1). Let s be (-7)/30 + (-4)/l. Which is smaller: -1 or s?
-1
Let r = -1.41 - -1.31. Let t be 1*(-1 + 0) + 19. Do t and r have the same value?
False
Suppose -5*f = 2*u + u + 18, -3*f + 5*u - 4 = 0. Let t(i) = -3*i + 1. Let x be t(f). Suppose -2*h + 7 = -w, x = -2*h + 4*h. Which is smaller: 2 or w?
2
Let v be 14/5 - 4/(-20). Let z be (-5)/2*v/(-15). Suppose -5*n = -4*r + 20, -2*r + 8 = -3*r - 2*n. Is r equal to z?
False
Let b = -3 - 2. Let x be (-3)/(b + 2) + -3. Is x > -1?
False
Suppose -10*d + 19 - 29 = 0. Let z(m) = m - 2. Let x be z(3). Let c be x - 1 - (-3)/(-12). Is c > d?
True
Let s be (-2)/(-2) + (-18)/(-3). Are 7 and s equal?
True
Let p = -17/30 + 1/15. Let b = 5 + -7. Which is smaller: p or b?
b
Let d = -51.3 - -49. Let o = d + 2. Let w = o + 0.4. Which is smaller: -1 or w?
-1
Suppose 3*r - 12 = 2*r. Suppose 0 = 2*v - 6*v + r. Is v greater than 1?
True
Let b(u) = -u + 1. Let q be b(1). Suppose q = -5*z + 3 + 2. Let d be (z/(-3))/(10/12). Which is greater: 2 or d?
2
Let q = -0.4 - -1.4. Let v = q - 1. Let c = 2 - 1.9. Which is smaller: v or c?
v
Let l(j) = 3*j**3 - j. Let r be l(1). Is r bigger than 2?
False
Suppose 0 = 3*o + 2*o - 25. Is o at most 2/11?
False
Let u = -4.11 - -4. Let z = -0.11 - u. Is z != -0.08?
True
Let f be ((-3)/(-6))/(6/(-4)). Is 3/5 bigger than f?
True
Suppose 3*r - f + 22 = 0, -3*r + f = 2*r + 34. Suppose d - 10 = 2*g, 2*g + 2*g - 4*d = -20. Is g at least as big as r?
True
Let j be -3 + 1/((-1)/(-8)). Let x = j + -6. Is -2/9 smaller than x?
False
Let w = 17 - 29. Let n be (-30)/20*(-2)/w. Are n and 2/43 non-equal?
True
Let w = 143.03 - 141. Let r = w + -0.03. Which is smaller: r or -0.7?
-0.7
Let u(p) = p + 4. Let w(q) = -1. Let s(i) = -u(i) - 4*w(i). Let y be s(2). Let r = y + 7/3. Is 3 at least r?
True
Suppose 0*d + d + 23 = -5*h, 4*d + 4 = 2*h. Let r be ((-1)/(-7))/(2/h). Which is smaller: r or -5?
-5
Let h = 2/51 + -89/102. Let x = -0.2 + 0.1. Which is greater: h or x?
x
Let l = -2.12 - -2. Let y = l - -0.02. Let h = 0 + y. Do 1 and h have the same value?
False
Suppose -3*v - r - 5 = 0, -2*v - 2*r - 3 = -r. Let b be (5 - (v - -1)) + -2. Which is greater: 3 or b?
b
Let t(q) be the third derivative of -q**6/120 - q**5/30 - q**3/3 - q**2. Let p be t(-2). Let r = -0.03 + 0.03. Is p less than or equal to r?
True
Let y = -0.06 - -0.16. Is y > 1?
False
Suppose -s - 2*l + 5 = 0, -s - 2*l = -5*l + 15. Is s equal to -8?
False
Let c = 17 - 3. Let p = 15 - c. Is p not equal to 5?
True
Let c be 2 - ((-14)/(-49))/(3/7). Which is smaller: c or 1?
1
Let w be (-39)/18 + (-4)/(-6). Let j = 3.2 + -3. Let s = -0.1 + j. Which is smaller: s or w?
w
Let a = 61 + -195. Is a greater than or equal to -134?
True
Let d be 8*3/6 + -7. Are d and -1 non-equal?
True
Let b = -316 - -7266/23. Is -0.1 greater than b?
False
Suppose -5*v - 23 = 2, 4*y + 3 = -3*v. Suppose 0 = -4*n + y*n. Let x be n/(3 + 0 + -1). Is x not equal to 3/4?
True
Let q = -6 - -10. Suppose -q*x + 3*y = 4*y - 14, -y = -2. Is x greater than 3?
False
Suppose 0 = -5*m + 2*m - 9. Suppose 3*s - 3*b = -0*s - 18, 2*s = -b. Which is smaller: s or m?
m
Suppose 2*b + 3 = -b. Let v = b - -3. Which is smaller: -1 or v?
-1
Let q(y) = y - 3. Let a be q(1). Is a greater than -3?
True
Suppose 6 = -4*l + 2. Is -6 <= l?
True
Let d(r) = r**3 + 4*r**2 + r + 5. Let j be d(-4). Which is smaller: j or 1/6?
1/6
Let l(q) = 3*q - 23. Let o be l(7). Is -2 != o?
False
Suppose -4*u = 2 + 14. Is u equal to 0.1?
False
Let t = -152 + 2566/17. Which is smaller: t or -1?
t
Let z = -104 + 105. Which is smaller: 19 or z?
z
Suppose -4*i = -4*l + i + 68, 2*l - 2*i - 32 = 0. Let k be (1/(-3))/((-44)/l). Is 1/3 >= k?
True
Let n = 195.2 + -195. Which is smaller: 0.074 or n?
0.074
Let z(u) = 2*u**3 - 3*u**2 - u + 2. Let b be z(2). Let i be 1*(-2 - (-3 + b)). Is -4 < i?
True
Let f be (-1)/4 - (-1)/(-4). Let i = -6 - -12. Let t = i + -6. Is t <= f?
False
Let p = -82 - -82. Which is bigger: p or -1/65?
p
Let i be (1 - 2)/(5 - 6). Suppose i + 2 = -3*d. Which is bigger: d or -1/5?
-1/5
Let i(b) = -8*b + 1. Let f(z) = 4*z - 1. Let a(k) = -7*f(k) - 4*i(k). Let u be a(-2). Let v = u + 1. Is 0.2 less than v?
False
Let p = 4291834 - 90108166/21. Let i = 968 - p. Let a = -2/3 - i. Which is smaller: a or 1?
a
Suppose -15 = -z - 4*k, 0 = z + z - 4*k + 18. Which is greater: 2/105 or z?
2/105
Let t = 1/12 + 7/12. Which is smaller: t or 2?
t
Let h(j) = 3 - j + 0 + 4 + 0. Let d be h(13). Which is smaller: d or -8?
-8
Let t be (-7)/3 - (-3)/((-54)/12). Which is bigger: 5 or t?
5
Let f(x) = -x**3 + x**2. Let j be f(1). Let p = j + -2. Is p >= -1/2?
False
Suppose 0 = -n - 3*n - 5*u - 3, 3*u + 9 = 0. Let h = -39 - -42. Is n less than or equal to h?
True
Let q be 4 + 2/(3 + -1). Let x = q + -5. Does x = 0?
True
Let j be 3/(-4) + 132/432. Is j < 0?
True
Let c = -26/49 + 12/49. Which is smaller: 0 or c?
c
Let f = 7 + -7. Let c be f - -2 - (-3)/(-3). Which is smaller: 3 or c?
c
Suppose -4*v = g - 2, g - 2 = -2*v - 0. Suppose 0 = 5*k - v*k + 20. Let n be (-1)/k + (-22)/24. Are 0 and n unequal?
True
Let g = 8 + -13. Let k be g/(-2)*(8 + -6). Which is smaller: k or 4?
4
Let w = -36 - -38. Is 8 <= w?
False
Let t be 11*16/1496 - (-241)/119. Suppose -s - 2 = -3*s. Does t = s?
False
Let c = 9 - -7. Let h = c + -10. Let k = h - 5.6. Is 2/5 at most as big as k?
True
Let t = 9 - 5. Let z(a) = a - 1. Let v be z(3). Is t at least v?
True
Let i = -7 - -15. Let h = i + -5. Is -1 greater than or equal to h?
False
Let y = 0.2 + 9.8. Is y > 1?
True
Let q = 2 - 4. Let d = q + 3. Suppose 0 = 4*r + 5*y, 0*y + 4*y = -2*r. Which is smaller: r or d?
r
Suppose 5*d + 24 = 3*d. Let s be -3 - 64/d - 2. Which is bigger: 0 or s?
s
Suppose 5*t + 4*k - 180 = -0*t, 10 = 2*k. Suppose 0*g = -2*v - 4*g + t, -4*v = -3*g - 9. Is 5 <= v?
True
Let g = 220 - 232.1. Let f = g + 12. Which is greater: f or -5/7?
f
Suppose 25 = 5*v, 0 = 3*o - 4*o + 3*v - 14. Let u = 0 + o. Let l be u - (0 - (-2 + 0)). Which is greater: l or -2/11?
-2/11
Let h be (-2)/8 - 18/24. Let q be (1/(-2))/((-8)/(-288)). Let c be (21/28)/(q/16). Which is smaller: c or h?
h
Let a(h) = h**2 + 20*h + 20. Let r be a(-18). Which is smaller: -20 or r?
-20
Suppose 5*x = 13*x. Which is smaller: 1/5 or x?
x
Suppose 4*z + 2 = -6. Let c(g) = -3*g - 2. Let p be c(z). Let j be (5 - p)/(1/2). Which is bigger: j or 0?
j
Let d be -15*(12/20 - 1). Which is smaller: 4 or d?
4
Suppose 11*v - 10*v = -1. Which is smaller: 3/28 or v?
v
Let j be (-12)/(-10)*30/(-42). Which is smaller: j or 0?
j
Suppose 0 = -4*c + 3*v + 642, 0*c - 2*c + 330 = 3*v. Let d = -2108/13 + c. Suppose -5*i + u = 0, 4*i - 2*i + u - 7 = 0. Are d and i equal?
False
Suppose -3*u - b + 5*b = -23, -4*u = 4*b + 16. Let i(p) = -7*p + p + 5*p + 1 - 7*p**3 + p**2. Let f be i(u). Which is bigger: -7 or f?
f
Let r(o) = o**2 + 4*o - 5. Suppose -3*u - 11 = 4. Let a be r(u). Let p = 0 - -1. Is p <= a?
False
Let f = -9 - -13/3. Which is smaller: f or -4?
f
Let k be 451/495 - 1/(-5). Is k > 0?
True
Let z = -1 + 0. Which is bigger: z or 2/5?
2/5
Let f = 0.24 + 0.06. Which is bigger: f or 1/5?
f
Let a = -11 - -6. Let b = a - -6. Is -3/5 not equal to b?
True
Let b = 1 + 1. Suppose 4*c = 3*c + 5*l - b, 4*c - 2*l = -8. Is c less than 1/4?
True
Let u be 6/(-5) - 5/(-25). Let y = u - -1. Is 2 > y?
True
Let k = 9 + -8.6. Let q = 0 + k. Is -2/11 < q?
True
Suppose 2 = -n - 4*s, 5*s + 85 = -0*n - 5*n. Let p be (0 - 1) + (-18)/n. Let q(h) = -h**2 + 11*h - 9. Let c be q(10). Which is smaller: p or c?
p
Suppose -5*l = -5*v + 50, 15 + 26 = 5*v - 2*l. Suppose -v = -4*q - 11. Is -10/13 != q?
True
Let t(o) = -4*o**2 - 4*o + 1. Let g(z) = 5*z**2 + 4*z - 1. Let y(a) = -5*g(a) - 6*t(a). Let l be y(4). Is 1/7 bigger than l?
True
Let m be (-2 - -2)*2/4. Which is greater: 20 or m?
20
Let d(b) = b**3 + 2*b**2 - 2*b + 1. Let k be d(-2). Suppose 5*l - 2*s - k = 0, -3*l + 14 + 0 = s. Which is smaller: 4 or l?
l
Suppose -3*l = -16 - 8. Is l less than 8?
False
Let u = -14.26 + 0.26. Let n = -14.1 - u. Which is greater: n or -18?
n
Let o = -2.87
|
{
"pile_set_name": "DM Mathematics"
}
|
base 2, what is 1111100 - -110111110011000001?
110111110100111101
In base 16, what is -c8 - ae19b?
-ae263
In base 6, what is 1510445 + -2111?
1504334
In base 8, what is 775362413 + -1?
775362412
In base 3, what is 11 + 1000022010010121?
1000022010010202
In base 2, what is 11 - 1011100110101000101000110?
-1011100110101000101000011
In base 11, what is 179 + -5867?
-5699
In base 16, what is 102c - -111?
113d
In base 6, what is 1453 - -23522323?
23524220
In base 9, what is -2827138 - 10?
-2827148
In base 15, what is 4d - 39ce18?
-39cdba
In base 4, what is 1031321132 + 12?
1031321210
In base 5, what is -2042333312 + 42?
-2042333220
In base 4, what is -23101330302 + -13?
-23101330321
In base 16, what is -1a451040 - 1?
-1a451041
In base 6, what is 2035550035 + -20?
2035550015
In base 9, what is 5 + 10720313?
10720318
In base 10, what is 1295835 + -1?
1295834
In base 4, what is 12102123023 - -22?
12102123111
In base 6, what is -425 - -350543?
350114
In base 11, what is -14 - -789a87?
789a73
In base 3, what is -12020212012001 + -11101?
-12020212100102
In base 3, what is 10 + 100102201001222?
100102201002002
In base 16, what is 0 - 73567?
-73567
In base 13, what is -8aa140 + 2?
-8aa13b
In base 8, what is 4054540 + -7?
4054531
In base 7, what is 13123234 + 0?
13123234
In base 7, what is 2616 + -33325?
-30406
In base 11, what is -21408795 - 6?
-214087a0
In base 4, what is -3033121310200 - 0?
-3033121310200
In base 9, what is -157133 - 1028?
-158162
In base 10, what is 67090928 + 5?
67090933
In base 15, what is 156db + -12be?
1441c
In base 12, what is -3a0 - 39b9b5?
-3a0195
In base 6, what is 1411202320 - -5?
1411202325
In base 8, what is 4 - 75473217?
-75473213
In base 14, what is 4b932 + 61?
4b993
In base 6, what is 3244035031 + -3?
3244035024
In base 16, what is -4 + -5444a5?
-5444a9
In base 2, what is -101001001101110000100 - -1?
-101001001101110000011
In base 7, what is -1 - -153355651?
153355650
In base 13, what is -1163833 - 4?
-1163837
In base 12, what is 359b + -1034?
2567
In base 14, what is 24 + 30079c?
3007c2
In base 16, what is -9c7ff3 - 2e?
-9c8021
In base 2, what is -10001000011101101000001010 - -10?
-10001000011101101000001000
In base 9, what is -2812100 + -7?
-2812107
In base 7, what is -11435 - 4514?
-16252
In base 12, what is 52052389 + 4?
52052391
In base 13, what is 1761 + -1747?
17
In base 10, what is -11 + 8442979?
8442968
In base 15, what is -244e2 + 1d4?
-2430d
In base 14, what is 3 + -209021?
-20901c
In base 15, what is -14a - -5c034?
5bdd9
In base 12, what is 4 + 1b450066?
1b45006a
In base 4, what is -11032030 + -10202?
-11102232
In base 3, what is -2210220202221110120 + 1?
-2210220202221110112
In base 5, what is -12400133133 - 2?
-12400133140
In base 3, what is 122001011 + 101022121?
1000100202
In base 12, what is 7699 - -2009?
96a6
In base 10, what is 5260 + 39463?
44723
In base 8, what is 5 + -20313424?
-20313417
In base 5, what is 12420 + 1444234?
2012204
In base 7, what is 1442216 - 1512?
1440404
In base 2, what is -100 - -1100011001110011000000011101?
1100011001110011000000011001
In base 12, what is -6867123 - -b?
-6867114
In base 4, what is 13213112322130 + -11?
13213112322113
In base 9, what is 15 + -40722603?
-40722577
In base 16, what is 18 + -18cd6?
-18cbe
In base 14, what is 17 + 2a440?
2a457
In base 6, what is -1 + -4513013?
-4513014
In base 13, what is 83b5 + -2c8?
80ba
In base 4, what is -1123221033 + -103332?
-1123331031
In base 12, what is 144487a8 - -5?
144487b1
In base 15, what is 32 + -e5185?
-e5153
In base 8, what is -6005 - -452534?
444527
In base 11, what is -4256 + -40117?
-44372
In base 6, what is 44333 - -212204?
300541
In base 8, what is -142166 - 3421?
-145607
In base 14, what is 6747 + -290?
6497
In base 2, what is -10011011101100011001001 + 110001?
-10011011101100010011000
In base 13, what is -24ba - -10b7?
-1403
In base 13, what is -208323 + 15?
-20830b
In base 2, what is -111110010100 + 110100100100?
-1001110000
In base 3, what is 2102022002 + -110002?
2101212000
In base 15, what is d + 44676?
44684
In base 13, what is 56c8 - -8b8?
62b3
In base 4, what is 20312 + -2013?
12233
In base 3, what is -1121211222 - -10211111?
-1111000111
In base 16, what is 1262b - -17e?
127a9
In base 2, what is -11000101011001110100 + -1110110?
-11000101011011101010
In base 5, what is -13123 + 12012401?
11444223
In base 11, what is 5 - 580740?
-580736
In base 9, what is 3563150833 - -5?
3563150838
In base 14, what is 72 + -17b5473?
-17b5401
In base 6, what is -100213113 + 52?
-100213021
In base 2, what is 10 + -100001110011010110111000010?
-100001110011010110111000000
In base 7, what is -2622553 + 1344?
-2621206
In base 4, what is 0 - 3220132233312?
-3220132233312
In base 10, what is -2 + 27318455?
27318453
In base 4, what is 3323320 - 233231?
3030023
In base 7, what is -3054 - 62454?
-65541
In base 7, what is -21205 + -51344?
-102552
In base 9, what is -4836743 + 3?
-4836740
In base 7, what is -10 + -3553553?
-3553563
In base 4, what is -333222301 - -211?
-333222030
In base 15, what is 0 + -5ee149?
-5ee149
In base 3, what is 2021202 - -2100211210?
2110010112
In base 13, what is 6aa1 - -22c7?
9098
In base 3, what is 10101202220200100 + -1?
10101202220200022
In base 3, what is 22120 - -11111010202?
11111110022
In base 4, what is -3003312 + -3322000?
-12331312
In base 7, what is 0 - -3301522435?
3301522435
In base 4, what is 1102 + 33332012212?
33332013320
In base 9, what is 486485 + -104?
486381
In base 16, what is -f090 + 224b?
-ce45
In base 8, what is 276524 + 10727?
307453
In base 11, what is -12 + a9a15a?
a9a148
In base 5, what is -21302314011 - 123?
-21302314134
In base 16, what is 2e890b - -1?
2e890c
In base 2, what is 11100100010010 + 101011111?
11101001110001
In base 8, what is -37 - 1560123?
-1560162
In base 15, what is 9c35 + 1a5?
9dda
In base 5, what is -2 - 30123341?
-30123343
In base 12, what is 1baa1 + -217?
1b886
In base 7, what is 2240534 - -1332?
2242166
In base 3, what is -2001 - -112110122200?
112110120122
In base 12, what is -1 - 5a647461?
-5a647462
In base 15, what is -3993191 + 5?
-399318b
In base 11, what is 87a6 - 30449?
-22753
In base 12, what is 6734a - -44b?
67799
In base 6, what is -10135 - 105200?
-115335
In base 5, what is 24112433 - -304?
24113242
In base 7, what is -1 + 530013352?
530013351
In base 10, what is 69 - 4366407?
-4366338
In base 16, what is 2 - 4209d0?
-4209ce
In base 11, what is 173923 + -10?
173913
In base 9, what is -21813 - -4576?
-16226
In base 8, what is -20751 + -237420?
-260371
In base 14, what is -2 + -3c3c77?
-3c3c79
In base 7, what is -133566205 - 5?
-133566213
In base 6, what is -15430 - 54500?
-114330
In base 15, what is -e5c2a + -e?
-e5c39
In base 15, what is 468610b - 2?
4686109
In base 16, what is d5 + -7089?
-6fb4
In base 13, what is b743cca + -8?
b743cc2
In base 4, what is 1 + -21001003203?
-21001003202
In base 8, what is -47 + 12006137?
12006070
In base 4, what is -30103 + -3220133102?
-3220223211
In base 10, what is 1110490 - 112?
1110378
In base 10, what is -39 - -1680288?
1680249
In base 6, what is 211 + -445314041?
-445313430
In base 7, what is 634565022 + 14?
634565036
In base 15, what is e4c44 - 40?
e4c04
In base 9, what is 11320822 - -2?
11320824
In base 15, what is -1955b - -1228?
-18333
In base 16, what is -3 + -f6453?
-f6456
In base 11, what is -17 + -374a62?
-374a79
In base 13, what is -5bb + 23b56?
23568
In base 10, what is 40865360 + -29?
40865331
In base 3, what is -2222211 + -10120002001?
-10200001212
In base 4, what is 101013321 - -2200?
101022121
In base 9, what is 26312085 + -4?
26312081
In base 16, what is 4 - -1fa4bc6?
1fa4bca
In base 15, what is -220a300 - 2?
-220a302
In base 4, what is 12 + 10322322322?
10322323000
In base 14, what is 14 + -11ba86?
-11ba72
In base 14, what is -b265 - 958?
-bbbd
In base 15, what is 4148 - 862?
37d6
In base 6, what is 53335 - 23?
53312
In base 5, what is -413323330 + 41?
-413323234
In base 3, what is -100110 + -202101202210?
-202102010020
In base 11, what is 5 - a84a64?
-a84a5a
In base 11, what is -622 - -11640?
11019
In base 3, what is -1211200101222210 + 121?
-1211200101222012
In base 13, what is -3 + 2792b75?
2792b72
In base 4, what is -33221 - 11131112?
-11230333
In base 9, what is 617002 + -8?
616
|
{
"pile_set_name": "DM Mathematics"
}
|
lify ((j**(1/3)/j)/(j**(-2/37)*j))**(-3) assuming j is positive.
j**(179/37)
Simplify (p/p**(-34)*p)/p**29*((p*p**(-39)*p)/p*p)/(p/(p/p**0)) assuming p is positive.
p**(-30)
Simplify (s/s**(-3))/s**(-2)*(s*s**(-1/17)*s)**(-30) assuming s is positive.
s**(-888/17)
Simplify (((z*z*z**(-6))/z*z**(-2/13)*z)**(1/4))**(4/9) assuming z is positive.
z**(-6/13)
Simplify j**(-1/7)*j*j*j**14/j*(j**0*j)/j**(-6) assuming j is positive.
j**(153/7)
Simplify a*a**(1/16)*a**(2/3)*a*a*a/a**0*a*a*a**(-2/5) assuming a is positive.
a**(1519/240)
Simplify (s/((s/(s/(s/(s**(-5)/s))))/s*s))**(-34)/(s**(-4/13)*s*s/(s**1*s)) assuming s is positive.
s**(2656/13)
Simplify (h**(-35)*(h**(-8/9)*h*h*h*h*h*h)/h)**(4/15) assuming h is positive.
h**(-1112/135)
Simplify (y/(y/y**(1/4))*y**(3/2))/(((y/(y**(3/4)*y))/y)/y**12) assuming y is positive.
y**(31/2)
Simplify (u**1*u)**(-41/5)*(u**(1/4))**(7/6) assuming u is positive.
u**(-1933/120)
Simplify ((((h*h**(-21))/h)/h)/(h/h**(-13)))/(h**(1/11))**(-19) assuming h is positive.
h**(-377/11)
Simplify (((w**(-21)/w)/w**7)**(-10))**(3/37) assuming w is positive.
w**(870/37)
Simplify ((k*k*k/k**(-6/7)*k)/((k*k*k**(-1/10))/k)*k*k**8*k/(k*k**(-3/5)))**(-35) assuming k is positive.
k**(-949/2)
Simplify (s/s**(-3)*s)/(s*s*(s*s**(-26)/s*s)/s)*(s*s**(-4/7))/s**18 assuming s is positive.
s**(80/7)
Simplify (((d/(d*d**6*d))/d)/(d/d**(-2/7))*d**(-1/3)/(d/d**(-6)))**(1/29) assuming d is positive.
d**(-349/609)
Simplify (u**(3/7)/u*u)/(u*(u/(u/((u/u**(-9/4))/u)*u)*u)/u)*u/u**17*(u**(-16)*u)/u*u assuming u is positive.
u**(-919/28)
Simplify ((m/m**2)**(-50)/(m**(-2/7))**(-2/23))**(-1/6) assuming m is positive.
m**(-1341/161)
Simplify (k**8)**(-11)/((k**(-23)*k)/((k*k*k/k**(8/5))/k*k*k)) assuming k is positive.
k**(-318/5)
Simplify ((g*g**(-1/5))**(-1/8)/(((g*g/(g**(-1/8)*g))/g)/(g**(3/11)*g)))**(-1/36) assuming g is positive.
g**(-461/15840)
Simplify (((k*k**(3/4))**(-34))**(-46))**(-26) assuming k is positive.
k**(-71162)
Simplify i**16/i**9*i*i**(-3)*i**16 assuming i is positive.
i**21
Simplify ((a**0/a*(a*a**(3/4)*a)/a)/(a**(-5)/(a*a*a*a**(-5))))**(-38) assuming a is positive.
a**(-285/2)
Simplify (v**2)**23/((v/(v*v**(-8)))/v**(-1/12)) assuming v is positive.
v**(455/12)
Simplify ((o*o**(-1)*o*o)**(-34)*(o**(-2/3))**(1/4))**(-2/21) assuming o is positive.
o**(409/63)
Simplify (((o*o/(o/((o/(o/(o**(-5/6)*o)))/o)))/((o*o**(2/13))/o*o))**38)**(-16/3) assuming o is positive.
o**(23408/117)
Simplify o**(-2/33)*o**10*(o*o*o**(1/5))**(4/11) assuming o is positive.
o**(1772/165)
Simplify (g**(16/5)/g**24)/(g*g*g**(-7)*g*g/((g/g**34)/g)) assuming g is positive.
g**(-259/5)
Simplify ((((o*o/o**(3/5))/o*o)/o**(1/4))/(o*(o/o**8)/o*o**(2/17)*o))**(-3/7) assuming o is positive.
o**(-7173/2380)
Simplify (b/b**(1/5))**(-9/2)/(b**(-1))**(-1/2) assuming b is positive.
b**(-41/10)
Simplify (b**(-20)*b**(-2))/((b*b*(b*b**(-1/14)*b*b)/b)/b)**(-13) assuming b is positive.
b**(225/14)
Simplify (((c*c/(c*c*c**(-3/2)*c))/c*c*c*c**(1/6)*c)**(-44))**(-28) assuming c is positive.
c**(9856/3)
Simplify (j**(-3/22)*j**(-2/5)/j)/(j*(j/(((j**(1/9)/j)/j)/j))/j*(j/j**16*j)/j) assuming j is positive.
j**(9479/990)
Simplify ((n*n*(n/n**(-32))/n)**(-31/4))**32 assuming n is positive.
n**(-8432)
Simplify (q/(q/((q/((q/(q/(q*q**(-37))*q))/q))/q))*q/q**(2/19)*q)**(-6/25) assuming q is positive.
q**(-4548/475)
Simplify z**(-7)*z**34*(z/(z*z**(-4)/z))**(3/26) assuming z is positive.
z**(717/26)
Simplify ((j*j**6)/j)**(-12)*(j*j**(-3)*j)**(-2/5) assuming j is positive.
j**(-358/5)
Simplify (q/(q/(q/(q*q/(q*q/(q**(-6/17)/q)*q))))*q/(q/q**(-8)))**(-3/26) assuming q is positive.
q**(237/442)
Simplify ((z/(z/(z/(z/z**(2/51)))))/(z**(-2/7)*z))/(z**(1/6)/((z*z**0)/z)) assuming z is positive.
z**(-601/714)
Simplify (t*t/((t*t*(t/t**(2/3))/t)/t)*t/(t*(t/t**10*t*t)/t))**(-14) assuming t is positive.
t**(-406/3)
Simplify o*o**(-4)*o**10*(o*o/o**(-1/5)*o)**(-1/16) assuming o is positive.
o**(34/5)
Simplify ((m*m/m**(-7))/(m*m*(m/(m*m*m**(1/11))*m)/m*m)*m**(-8)/m**(2/25))**(19/2) assuming m is positive.
m**(-2584/275)
Simplify q**12/(q**(-7/2)/q)*(q**(-2))**(-17) assuming q is positive.
q**(101/2)
Simplify ((d/d**(-1/10)*d**(-4/11)*d)/((d/(d/(d/d**(-2/19))))/(d/d**(-2/31))))**(10/11) assuming d is positive.
d**(109859/71269)
Simplify (n*(n/(n**3*n)*n)/n)**(-26)/((n**(-2)/n)/(((n/(n**(1/4)/n))/n)/n)) assuming n is positive.
n**(219/4)
Simplify (r**(2/7))**27/(r**(-2/7))**23 assuming r is positive.
r**(100/7)
Simplify (((f*f/f**(-11)*f)**(-44))**(-1/24))**13 assuming f is positive.
f**(1001/3)
Simplify (b**(-2/47)*(b/(((b/b**17)/b*b)/b))/b)/(b**(1/5)/b**(-2)) assuming b is positive.
b**(3468/235)
Simplify (d**(5/2)*d*d**(-1/33)*d*d)/(d**7*d)**6 assuming d is positive.
d**(-2807/66)
Simplify ((((z*z**1)/z)/z)**(1/12)*(z**3*z)/((((z*(z/(z*z**(-1/2)*z))/z)/z)/z)/z))**(-18) assuming z is positive.
z**(-135)
Simplify (m*(((m*m**(-7))/m)/m*m)/m*m/m**5*m)/(m**4/m)**(-40) assuming m is positive.
m**110
Simplify (c/c**(-2/7)*c*c**(-2/21))/((c**14*c)/c*c*c**(-6/7)*c) assuming c is positive.
c**(-272/21)
Simplify p**(-2/15)*p**(-14)*p**(-2/5)*p**(-4/3) assuming p is positive.
p**(-238/15)
Simplify ((o**(-3/2)/o)/o)**24/(o**13/o*o)**(-49) assuming o is positive.
o**553
Simplify (t**(3/14)*t**8/t*t)/((t*t/(t*(t/(t/(t*t**9/t)))/t)*t*t)/(t*(t/(t*t*t**15))/t*t)) assuming t is positive.
t**(-25/14)
Simplify (i**(-1/17)*(i/(i*i*i/(i**31/i)*i*i)*i)/i)/(((i*i**(-1/23))/i)/i**(-2/85)) assuming i is positive.
i**(50754/1955)
Simplify (v**1/v)**(-22)*(v**(-1/2)/v*v)**(3/11) assuming v is positive.
v**(-3/22)
Simplify (k**(1/2)*k)/k*k**(-1)/k*(k*k**(-7))/k**(-2/5) assuming k is positive.
k**(-71/10)
Simplify v**(-1/17)*v**(-17)*(v**(1/4))**(-25) assuming v is positive.
v**(-1585/68)
Simplify (((o*o/(o**25*o)*o)/o)/o*o*o*o**(7/4)/o)/(o**18)**(4/11) assuming o is positive.
o**(-1267/44)
Simplify (b**(8/3)/(b*b*b/b**(-19)))**13 assuming b is positive.
b**(-754/3)
Simplify (s/s**(-1/3))**(1/7)*(s/(s/(s/s**6)*s*s)*s)/(s**9*s) assuming s is positive.
s**(-332/21)
Simplify ((c*c/(c/(c**(-1)*c*c)))/c*c)/((c/c**5)/c)*c**(1/3)/(c/c**(-6)) assuming c is positive.
c**(1/3)
Simplify p**(2/35)*p/(p/(p*p/(p/(p*p*p**7)))*p)*((p**(-3)*p)/p*p)/(p*(p*p**(-5)*p*p)/p) assuming p is positive.
p**(317/35)
Simplify (((h*h**9)/h)/(h**0/h*h*h))/(h**1/(h/(h/((h**(-2/23)/h)/h)))) assuming h is positive.
h**(113/23)
Simplify (i**(1/11)/((i/(i**(2/3)*i))/i))/(i/i**(-2/7)*i)**(-1/13) assuming i is positive.
i**(5806/3003)
Simplify r**(-1/9)/r**(-1)*(r*r**(-4)*r)/r*r**(-3/8) assuming r is positive.
r**(-179/72)
Simplify (n**3)**14*((n/n**(1/8))/n)**(-40) assuming n is positive.
n**47
Simplify ((v/(v/v**(3/5)*v))/v*v)**(-11)/(v**(-9))**(-9) assuming v is positive.
v**(-383/5)
Simplify (n**5*n**(-1/8))/(n*n**(-1/3)*n)**(1/2) assuming n is positive.
n**(97/24)
Simplify (m**19)**(1/2)/(m**28*m**7*m) assuming m is positive.
m**(-53/2)
Simplify (y*y*y**(-8)*y)/(y**8*y)*(y*(y**(-21)/y*y)/y)/((y/(y/y**0))/y) assuming y is positive.
y**(-34)
Simplify p**(4/3)/p**(-17)*(p**(-21)/p)/(((p/(p*p**(-1/13)*p*p*p))/p)/p) assuming p is positive.
p**(49/39)
Simplify ((a*(a/a**0)/a*a**(-1/6))/(((a*a/a**2)/a*a)/((a/(a**(-1/18)/a))/a)))**(28/5) assuming a is positive.
a**(476/45)
Simplify ((q*q*(q*(q*(q**(1/4)/q*q)/q*q)/q)/q)**44*(q**(2/3))**(-1/18))**(3/8) assuming q is positive.
q**(334/9)
Simplify ((i/i**(4/9))/i)**(4/7)/(i*i*i**(-28)/i*i*i**(6/7)) assuming i is positive.
i**(224/9)
Simplify (x**(-16))**35/(x/(x/(x*x**(18/5))))**(-7) assuming x is positive.
x**(-2639/5)
Simplify (((i/(i/(i/(i*i/(i**(-9)/i))*i*i)))/i)/(i/((i/(i*i**4))/i)))/(i**1)**(-15/7) assuming i is positive.
i**(-97/7)
Simplify (h**(-1/17)*h**(-26))/((h*h/(h/h**(-1/2)))/h)**(-1/23) assuming h is positive.
h**(-20395/782)
Simplify ((i/(i**(-1/3)/i*i))/(i*i**(-4)))/(i/(i/(i**(-7/2)/i)))**(-33) assuming i is positive.
i**(-865/6)
Simplify ((g*(g**3*g)/g*g*g*g*g**(-1))**(-8))**21 assuming g is positive.
g**(-1008)
Simplify (t**(-1))**(-24)*(t/(t*t**4))**37 assuming t is positive.
t**(-124)
Simplify (i**(-1/5))**48*(i/i**(-3/13))/(i*i*i/i**(-3/13)*i) assuming i is positive.
i**(-63/5)
Simplify (p**(-2/3))**(-1/27)*(p**(-1/7)/p)**(-1) assuming p is positive.
p**(662/567)
Simplify ((t/t**(3/5))/t**(2/13)
|
{
"pile_set_name": "DM Mathematics"
}
|
late the remainder when 349 is divided by 114.
7
Calculate the remainder when 77 is divided by 39.
38
What is the remainder when 627 is divided by 30?
27
Calculate the remainder when 13 is divided by 4.
1
Calculate the remainder when 4450 is divided by 27.
22
Calculate the remainder when 4436 is divided by 185.
181
What is the remainder when 35 is divided by 16?
3
What is the remainder when 188 is divided by 27?
26
Calculate the remainder when 1985 is divided by 71.
68
What is the remainder when 197 is divided by 9?
8
Calculate the remainder when 941 is divided by 35.
31
Calculate the remainder when 14443 is divided by 27.
25
What is the remainder when 30461 is divided by 15?
11
What is the remainder when 922 is divided by 75?
22
What is the remainder when 4190 is divided by 190?
10
What is the remainder when 42 is divided by 25?
17
What is the remainder when 341 is divided by 335?
6
Calculate the remainder when 153 is divided by 33.
21
Calculate the remainder when 403 is divided by 170.
63
Calculate the remainder when 1942 is divided by 635.
37
Calculate the remainder when 404 is divided by 52.
40
Calculate the remainder when 298 is divided by 164.
134
Calculate the remainder when 662 is divided by 96.
86
Calculate the remainder when 445 is divided by 127.
64
What is the remainder when 118 is divided by 41?
36
What is the remainder when 226 is divided by 62?
40
What is the remainder when 517 is divided by 72?
13
Calculate the remainder when 1078 is divided by 247.
90
Calculate the remainder when 662 is divided by 133.
130
Calculate the remainder when 752 is divided by 13.
11
What is the remainder when 739 is divided by 3?
1
What is the remainder when 33 is divided by 25?
8
What is the remainder when 2703 is divided by 52?
51
What is the remainder when 27 is divided by 8?
3
What is the remainder when 1554 is divided by 68?
58
What is the remainder when 51 is divided by 30?
21
Calculate the remainder when 945 is divided by 932.
13
What is the remainder when 244 is divided by 92?
60
Calculate the remainder when 354 is divided by 51.
48
Calculate the remainder when 127 is divided by 35.
22
What is the remainder when 511 is divided by 1?
0
Calculate the remainder when 692 is divided by 7.
6
What is the remainder when 289 is divided by 29?
28
Calculate the remainder when 2070 is divided by 37.
35
Calculate the remainder when 1424 is divided by 40.
24
Calculate the remainder when 92 is divided by 11.
4
What is the remainder when 1159 is divided by 14?
11
What is the remainder when 3580 is divided by 35?
10
Calculate the remainder when 289 is divided by 4.
1
Calculate the remainder when 558 is divided by 33.
30
Calculate the remainder when 5563 is divided by 35.
33
Calculate the remainder when 268 is divided by 32.
12
Calculate the remainder when 218 is divided by 22.
20
Calculate the remainder when 261 is divided by 12.
9
What is the remainder when 1136 is divided by 565?
6
What is the remainder when 7032 is divided by 102?
96
Calculate the remainder when 5034 is divided by 48.
42
Calculate the remainder when 1795 is divided by 398.
203
What is the remainder when 112 is divided by 97?
15
Calculate the remainder when 520 is divided by 87.
85
Calculate the remainder when 2760 is divided by 551.
5
What is the remainder when 364 is divided by 76?
60
Calculate the remainder when 809 is divided by 29.
26
What is the remainder when 1481 is divided by 213?
203
What is the remainder when 1841 is divided by 41?
37
Calculate the remainder when 335 is divided by 22.
5
Calculate the remainder when 11101 is divided by 16.
13
What is the remainder when 86 is divided by 26?
8
What is the remainder when 1147 is divided by 96?
91
What is the remainder when 190 is divided by 58?
16
What is the remainder when 41 is divided by 22?
19
What is the remainder when 22502 is divided by 116?
114
What is the remainder when 1054 is divided by 132?
130
What is the remainder when 68 is divided by 19?
11
What is the remainder when 199 is divided by 88?
23
What is the remainder when 399 is divided by 4?
3
Calculate the remainder when 298 is divided by 25.
23
What is the remainder when 171 is divided by 84?
3
Calculate the remainder when 922 is divided by 413.
96
Calculate the remainder when 58 is divided by 40.
18
Calculate the remainder when 24 is divided by 16.
8
What is the remainder when 62 is divided by 16?
14
Calculate the remainder when 1337 is divided by 332.
9
What is the remainder when 2677 is divided by 20?
17
Calculate the remainder when 119 is divided by 12.
11
Calculate the remainder when 847 is divided by 61.
54
What is the remainder when 62 is divided by 39?
23
Calculate the remainder when 3115 is divided by 390.
385
What is the remainder when 2970 is divided by 185?
10
Calculate the remainder when 227 is divided by 36.
11
What is the remainder when 2761 is divided by 79?
75
Calculate the remainder when 267 is divided by 67.
66
What is the remainder when 3250 is divided by 231?
16
What is the remainder when 505 is divided by 417?
88
Calculate the remainder when 597 is divided by 151.
144
Calculate the remainder when 518 is divided by 52.
50
What is the remainder when 355 is divided by 37?
22
What is the remainder when 16 is divided by 12?
4
Calculate the remainder when 148 is divided by 37.
0
What is the remainder when 3922 is divided by 217?
16
Calculate the remainder when 2283 is divided by 9.
6
What is the remainder when 891 is divided by 15?
6
What is the remainder when 670 is divided by 42?
40
What is the remainder when 886 is divided by 5?
1
Calculate the remainder when 614 is divided by 17.
2
What is the remainder when 771 is divided by 193?
192
Calculate the remainder when 687 is divided by 10.
7
What is the remainder when 305 is divided by 76?
1
What is the remainder when 265 is divided by 68?
61
Calculate the remainder when 1100 is divided by 111.
101
What is the remainder when 388 is divided by 91?
24
Calculate the remainder when 1223 is divided by 303.
11
Calculate the remainder when 871 is divided by 101.
63
Calculate the remainder when 803 is divided by 35.
33
What is the remainder when 470 is divided by 233?
4
What is the remainder when 236 is divided by 46?
6
Calculate the remainder when 494 is divided by 100.
94
Calculate the remainder when 134 is divided by 79.
55
What is the remainder when 136 is divided by 58?
20
Calculate the remainder when 7035 is divided by 102.
99
What is the remainder when 218 is divided by 24?
2
What is the remainder when 503 is divided by 56?
55
What is the remainder when 204 is divided by 40?
4
Calculate the remainder when 268 is divided by 50.
18
What is the remainder when 215 is divided by 132?
83
What is the remainder when 378 is divided by 79?
62
Calculate the remainder when 1178 is divided by 585.
8
Calculate the remainder when 838 is divided by 30.
28
Calculate the remainder when 816 is divided by 63.
60
Calculate the remainder when 1626 is divided by 74.
72
Calculate the remainder when 347 is divided by 70.
67
Calculate the remainder when 362 is divided by 82.
34
What is the remainder when 68 is divided by 14?
12
Calculate the remainder when 2161 is divided by 2153.
8
Calculate the remainder when 150 is divided by 54.
42
What is the remainder when 104 is divided by 21?
20
What is the remainder when 351 is divided by 172?
7
Calculate the remainder when 444 is divided by 14.
10
What is the remainder when 95 is divided by 21?
11
What is the remainder when 117 is divided by 26?
13
Calculate the remainder when 1425 is divided by 46.
45
What is the remainder when 32 is divided by 16?
0
What is the remainder when 455 is divided by 418?
37
Calculate the remainder when 5243 is divided by 228.
227
Calculate the remainder when 15616 is divided by 41.
36
Calculate the remainder when 37278 is divided by 40.
38
What is the remainder when 125 is divided by 44?
37
What is the remainder when 765 is divided by 59?
57
What is the remainder when 523 is divided by 101?
18
What is the remainder when 535 is divided by 184?
167
Calculate the remainder when 4737 is divided by 60.
57
What is the remainder when 90 is divided by 17?
5
What is the remainder when 111 is divided by 40?
31
Calculate the remainder when 14665 is divided by 193.
|
{
"pile_set_name": "DM Mathematics"
}
|
o the power of 1/2, to the nearest integer?
109
What is 1179 to the power of 1/4, to the nearest integer?
6
What is the third root of 83422 to the nearest integer?
44
What is the cube root of 4434 to the nearest integer?
16
What is 59395 to the power of 1/2, to the nearest integer?
244
What is the seventh root of 435 to the nearest integer?
2
What is 73019 to the power of 1/10, to the nearest integer?
3
What is the third root of 10937 to the nearest integer?
22
What is 3727 to the power of 1/3, to the nearest integer?
16
What is 4208 to the power of 1/3, to the nearest integer?
16
What is the cube root of 2245 to the nearest integer?
13
What is 2228 to the power of 1/4, to the nearest integer?
7
What is the square root of 26496 to the nearest integer?
163
What is the fourth root of 767 to the nearest integer?
5
What is 79395 to the power of 1/2, to the nearest integer?
282
What is the square root of 1162 to the nearest integer?
34
What is the square root of 12560 to the nearest integer?
112
What is 14513 to the power of 1/10, to the nearest integer?
3
What is 19386 to the power of 1/4, to the nearest integer?
12
What is the sixth root of 1366 to the nearest integer?
3
What is the square root of 7561 to the nearest integer?
87
What is the third root of 6283 to the nearest integer?
18
What is the eighth root of 37310 to the nearest integer?
4
What is 243 to the power of 1/6, to the nearest integer?
2
What is the square root of 7115 to the nearest integer?
84
What is the cube root of 3553 to the nearest integer?
15
What is 42596 to the power of 1/2, to the nearest integer?
206
What is 110 to the power of 1/5, to the nearest integer?
3
What is 3492 to the power of 1/2, to the nearest integer?
59
What is 35607 to the power of 1/6, to the nearest integer?
6
What is the square root of 962 to the nearest integer?
31
What is the square root of 1456 to the nearest integer?
38
What is the square root of 4256 to the nearest integer?
65
What is the eighth root of 16418 to the nearest integer?
3
What is the fourth root of 2542 to the nearest integer?
7
What is the sixth root of 10108 to the nearest integer?
5
What is 584 to the power of 1/7, to the nearest integer?
2
What is 18924 to the power of 1/3, to the nearest integer?
27
What is 1978 to the power of 1/3, to the nearest integer?
13
What is 34476 to the power of 1/4, to the nearest integer?
14
What is 77239 to the power of 1/3, to the nearest integer?
43
What is the fifth root of 12650 to the nearest integer?
7
What is 1620 to the power of 1/5, to the nearest integer?
4
What is 117585 to the power of 1/3, to the nearest integer?
49
What is 24643 to the power of 1/5, to the nearest integer?
8
What is the square root of 2321 to the nearest integer?
48
What is the fourth root of 150 to the nearest integer?
3
What is the tenth root of 10046 to the nearest integer?
3
What is the tenth root of 56893 to the nearest integer?
3
What is 48428 to the power of 1/7, to the nearest integer?
5
What is 1612 to the power of 1/2, to the nearest integer?
40
What is 101169 to the power of 1/2, to the nearest integer?
318
What is 4423 to the power of 1/10, to the nearest integer?
2
What is the third root of 14957 to the nearest integer?
25
What is 472 to the power of 1/2, to the nearest integer?
22
What is 12767 to the power of 1/2, to the nearest integer?
113
What is 2326 to the power of 1/8, to the nearest integer?
3
What is the sixth root of 8822 to the nearest integer?
5
What is 9354 to the power of 1/2, to the nearest integer?
97
What is the square root of 1091 to the nearest integer?
33
What is 3544 to the power of 1/2, to the nearest integer?
60
What is 4174 to the power of 1/2, to the nearest integer?
65
What is the third root of 3932 to the nearest integer?
16
What is 5522 to the power of 1/2, to the nearest integer?
74
What is 2962 to the power of 1/5, to the nearest integer?
5
What is the square root of 14091 to the nearest integer?
119
What is 1715 to the power of 1/5, to the nearest integer?
4
What is 12182 to the power of 1/2, to the nearest integer?
110
What is 88645 to the power of 1/2, to the nearest integer?
298
What is 3549 to the power of 1/2, to the nearest integer?
60
What is 14938 to the power of 1/2, to the nearest integer?
122
What is 1406 to the power of 1/4, to the nearest integer?
6
What is 3886 to the power of 1/5, to the nearest integer?
5
What is the square root of 4011 to the nearest integer?
63
What is 27922 to the power of 1/2, to the nearest integer?
167
What is the square root of 7913 to the nearest integer?
89
What is 1052 to the power of 1/2, to the nearest integer?
32
What is 298 to the power of 1/2, to the nearest integer?
17
What is the fourth root of 650 to the nearest integer?
5
What is the tenth root of 40 to the nearest integer?
1
What is the third root of 32238 to the nearest integer?
32
What is the cube root of 304 to the nearest integer?
7
What is 18697 to the power of 1/7, to the nearest integer?
4
What is the cube root of 6853 to the nearest integer?
19
What is the cube root of 7569 to the nearest integer?
20
What is the cube root of 48303 to the nearest integer?
36
What is 7644 to the power of 1/8, to the nearest integer?
3
What is the cube root of 1323 to the nearest integer?
11
What is the square root of 20335 to the nearest integer?
143
What is the eighth root of 3305 to the nearest integer?
3
What is 7652 to the power of 1/3, to the nearest integer?
20
What is the tenth root of 6517 to the nearest integer?
2
What is the seventh root of 699 to the nearest integer?
3
What is the cube root of 2234 to the nearest integer?
13
What is the fourth root of 278 to the nearest integer?
4
What is 23155 to the power of 1/2, to the nearest integer?
152
What is the cube root of 4851 to the nearest integer?
17
What is the sixth root of 716 to the nearest integer?
3
What is the cube root of 1040 to the nearest integer?
10
What is the third root of 1994 to the nearest integer?
13
What is the fourth root of 102337 to the nearest integer?
18
What is 1380 to the power of 1/2, to the nearest integer?
37
What is the cube root of 3757 to the nearest integer?
16
What is the third root of 4252 to the nearest integer?
16
What is 693 to the power of 1/9, to the nearest integer?
2
What is 1829 to the power of 1/7, to the nearest integer?
3
What is 2564 to the power of 1/3, to the nearest integer?
14
What is 1158 to the power of 1/9, to the nearest integer?
2
What is the fifth root of 2394 to the nearest integer?
5
What is 81697 to the power of 1/2, to the nearest integer?
286
What is the tenth root of 12630 to the nearest integer?
3
What is the cube root of 7294 to the nearest integer?
19
What is 4418 to the power of 1/3, to the nearest integer?
16
What is 77682 to the power of 1/2, to the nearest integer?
279
What is 70459 to the power of 1/2, to the nearest integer?
265
What is 4006 to the power of 1/2, to the nearest integer?
63
What is the cube root of 1215 to the nearest integer?
11
What is the cube root of 15526 to the nearest integer?
25
What is the seventh root of 1361 to the nearest integer?
3
What is the cube root of 23 to the nearest integer?
3
What is 143687 to the power of 1/2, to the nearest integer?
379
What is 2266 to the power of 1/2, to the nearest integer?
48
What is the third root of 10085 to the nearest integer?
22
What is the cube root of 48970 to the nearest integer?
37
What is 318 to the power of 1/8, to the nearest integer?
2
What is 85195 to the power of 1/4, to the nearest integer?
17
What is the square root of 110684 to the nearest integer?
333
What is 669 to the power of 1/2, to the nearest integer?
26
What is the cube root of 333 to the nearest integer?
7
What is the third root of 101128 to the nearest integer?
47
What is 43156 to the power of 1/3, to the nearest integer?
35
What is 22296 to the power of 1/3, to the nearest integer?
28
What is 3410 to the power of 1/3, to the nearest integer?
15
What is 45580 to the power of 1/4, to the nearest integer?
15
What is 26124 to the power of 1/6, to the nearest integer?
5
What is 96591 to the power of 1/3, to the nearest integer?
46
What is 642 to the power of 1/2, to the nearest integer?
25
What is the third root of 3
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 11?
False
Does 33 divide 3541?
False
Is 74605 a multiple of 43?
True
Is 44 a factor of 5382?
False
Does 24 divide 336?
True
Is 14 a factor of 196?
True
Does 230 divide 20622?
False
Does 47 divide 18283?
True
Is 52 a factor of 1560?
True
Is 58463 a multiple of 19?
True
Is 17 a factor of 1802?
True
Is 31668 a multiple of 56?
False
Does 14 divide 1260?
True
Does 5 divide 5953?
False
Is 43 a factor of 5332?
True
Does 123 divide 3813?
True
Is 19 a factor of 132263?
False
Is 728 a multiple of 13?
True
Is 25940 a multiple of 20?
True
Is 395 a multiple of 20?
False
Is 11 a factor of 92?
False
Is 595 a multiple of 7?
True
Is 176 a multiple of 82?
False
Is 15 a factor of 3002?
False
Is 7 a factor of 1330?
True
Is 26 a factor of 6422?
True
Is 11 a factor of 32846?
True
Is 2950 a multiple of 118?
True
Is 1181 a multiple of 48?
False
Does 14 divide 1615?
False
Does 25 divide 786?
False
Is 36 a factor of 2753?
False
Does 61 divide 12444?
True
Is 46481 a multiple of 46?
False
Is 3191 a multiple of 2?
False
Is 95 a factor of 48925?
True
Does 144 divide 27184?
False
Is 96777 a multiple of 16?
False
Does 25 divide 2279?
False
Does 31 divide 1488?
True
Is 21140 a multiple of 14?
True
Is 327 a multiple of 40?
False
Does 3 divide 1664?
False
Does 28 divide 2156?
True
Is 143 a factor of 22022?
True
Is 6 a factor of 92?
False
Is 54306 a multiple of 63?
True
Is 13 a factor of 21871?
False
Is 1025 a multiple of 5?
True
Does 7 divide 966?
True
Is 1023 a multiple of 33?
True
Is 57 a factor of 2679?
True
Does 46 divide 486?
False
Is 6880 a multiple of 215?
True
Is 81 a factor of 25110?
True
Does 10 divide 4846?
False
Is 11 a factor of 1171?
False
Is 5 a factor of 515?
True
Is 119 a factor of 9286?
False
Does 54 divide 1242?
True
Is 9 a factor of 393?
False
Is 4 a factor of 922?
False
Is 1323 a multiple of 32?
False
Is 1533 a multiple of 48?
False
Is 416 a multiple of 8?
True
Is 51942 a multiple of 66?
True
Is 5176 a multiple of 8?
True
Does 30 divide 990?
True
Does 4 divide 492?
True
Is 2 a factor of 1538?
True
Is 28 a factor of 11471?
False
Is 17 a factor of 1380?
False
Is 1153 a multiple of 21?
False
Is 116892 a multiple of 306?
True
Does 12 divide 24?
True
Is 25 a factor of 1525?
True
Is 32 a factor of 384?
True
Is 19 a factor of 665?
True
Is 94 a factor of 3443?
False
Is 5 a factor of 7405?
True
Does 54 divide 7646?
False
Is 30 a factor of 23176?
False
Does 8 divide 216?
True
Does 64 divide 57114?
False
Does 7 divide 652?
False
Is 6148 a multiple of 17?
False
Is 558 a multiple of 9?
True
Is 188 a factor of 67653?
False
Is 4 a factor of 91?
False
Does 22 divide 11066?
True
Does 386 divide 53654?
True
Does 23 divide 2484?
True
Does 8 divide 4270?
False
Is 1035 a multiple of 15?
True
Does 10 divide 65070?
True
Is 13 a factor of 4460?
False
Is 129 a multiple of 12?
False
Is 6700 a multiple of 20?
True
Is 66 a factor of 495?
False
Is 162 a factor of 16493?
False
Is 72 a factor of 936?
True
Does 2 divide 4168?
True
Does 41 divide 11316?
True
Is 8668 a multiple of 6?
False
Does 394 divide 68950?
True
Does 303 divide 10605?
True
Is 22 a factor of 1127?
False
Is 62 a factor of 2356?
True
Is 11 a factor of 10599?
False
Is 37 a factor of 12673?
False
Does 13 divide 91?
True
Is 9 a factor of 33956?
False
Is 66 a factor of 1452?
True
Is 23 a factor of 1162?
False
Does 90 divide 1170?
True
Does 36 divide 1332?
True
Is 62 a factor of 18352?
True
Is 17 a factor of 34952?
True
Is 45 a factor of 5893?
False
Does 8 divide 7720?
True
Is 9 a factor of 26610?
False
Is 15109 a multiple of 29?
True
Is 5009 a multiple of 27?
False
Does 108 divide 60480?
True
Is 54610 a multiple of 43?
True
Is 41 a factor of 140?
False
Is 35 a factor of 62101?
False
Is 263 a factor of 549?
False
Is 40039 a multiple of 132?
False
Is 29916 a multiple of 12?
True
Does 25 divide 3285?
False
Is 780 a multiple of 12?
True
Does 10 divide 410?
True
Is 3025 a multiple of 55?
True
Does 228 divide 85956?
True
Is 20 a factor of 4758?
False
Does 5 divide 65?
True
Does 31 divide 40967?
False
Does 23 divide 44648?
False
Is 490 a multiple of 4?
False
Does 8 divide 3360?
True
Is 13 a factor of 2425?
False
Is 108 a factor of 5422?
False
Is 58 a factor of 4292?
True
Does 24 divide 15320?
False
Is 12119 a multiple of 5?
False
Is 1485 a multiple of 45?
True
Is 1030 a multiple of 10?
True
Is 54 a factor of 47250?
True
Is 31312 a multiple of 76?
True
Is 28910 a multiple of 49?
True
Does 5 divide 400?
True
Is 2527 a multiple of 14?
False
Is 331 a multiple of 20?
False
Is 10 even?
True
Is 13524 a multiple of 46?
True
Is 18 a factor of 33678?
True
Does 241 divide 35427?
True
Is 2330 a multiple of 47?
False
Does 2 divide 161?
False
Is 14124 a multiple of 22?
True
Does 12 divide 5148?
True
Does 238 divide 9758?
True
Is 84 a multiple of 6?
True
Is 5 a factor of 4308?
False
Is 1560 a multiple of 12?
True
Is 45 a factor of 405?
True
Is 1819 a multiple of 107?
True
Is 30 a factor of 7747?
False
Is 6 a factor of 268?
False
Is 6 a factor of 6210?
True
Is 13 a factor of 15964?
True
Is 900 a multiple of 45?
True
Is 3340 a multiple of 31?
False
Does 18 divide 2867?
False
Is 23728 a multiple of 91?
False
Is 2811 a multiple of 5?
False
Is 3652 a multiple of 22?
True
Is 16438 a multiple of 217?
False
Is 24 a factor of 1523?
False
Is 3874 a multiple of 26?
True
Does 13 divide 3991?
True
Is 1210 a multiple of 22?
True
Does 7 divide 77?
True
Is 11473 a multiple of 11?
True
Is 35 a factor of 2450?
True
Is 16 a factor of 312?
False
Is 39 a factor of 8463?
True
Does 48 divide 21888?
True
Is 46 a factor of 3403?
False
Does 21 divide 5292?
True
Does 5 divide 15795?
True
Does 28 divide 3342?
False
Is 10087 a multiple of 7?
True
Is 26135 a multiple of 7?
False
Does 17 divide 12155?
True
Is 8991 a multiple of 27?
True
Is 16705 a multiple of 172?
False
Is 184 a factor of 184?
True
Does 6 divide 9444?
True
Does 14 divide 89460?
True
Does 9 divide 19503?
True
Is 1169 a multiple of 167?
True
Is 52834 a multiple of 12?
False
Is 23680 a multiple of 8?
True
Is 36 a factor of 79335?
False
Is 47160 a multiple of 60?
True
Is 11 a factor of 4063?
False
Is 8418 a multiple of 29?
False
Is 1005 a multiple of 32?
False
Is 20862 a multiple of 18?
True
Is 19 a factor of 3257?
False
Does 6 divide 3205?
False
Does 8 divide 2732?
False
Does 13 divide 605?
False
Is 36 a factor of 740?
False
Is 9858 a multiple of 318?
True
Is 8 a factor of 2320?
True
Is 2301 a multiple of 11?
False
Is 52 a factor of 103?
False
Does 11 divide 7899?
False
Is 48264 a multiple of 8?
True
Is 1654 a multiple of 109?
False
Does 53 divide 13409?
True
Is 873 a multiple of 58?
False
Does 74 divide 7918?
True
Does 23 divide 11114?
False
Is 10 a factor of 130?
True
Is 5 a factor of 7074?
False
Does 6 divide 6811?
False
Is 5 a factor of 1596?
False
Does 12 divide 1064?
False
Is 23 a factor of 22316?
False
Is 5 a factor of 8630?
True
Is 26 a factor of 13572?
True
Does 15 divide 2510?
False
Is 35 a multiple of 5?
True
Is 12 a factor of 26652?
True
Is 354 a multiple of 3?
True
Is 4 a factor of 3091?
False
Is 66 a multiple of 2?
True
Is 31 a factor of 628?
False
Is 15 a factor of 60?
True
Is 37 a factor of 7881?
True
Is 2520 a multiple of 12?
True
Is 3609 a multiple of 46?
False
Is 310 a multiple of 10?
True
Is 12 a factor of 9482?
False
Is 63 a factor of 29484?
True
Is 106 a factor of 907?
False
Is 49 a multiple of 2?
False
Is 28 a factor of 11031?
False
Is 5372 a multiple of 42?
False
Is 701 a multiple of 23?
False
Does 6 divide 845?
False
Is 46 a factor of 992?
False
Is 1064 a multiple of 19?
True
Is 13202 a multiple of 82?
True
Does 8 divide 1681?
False
Is 4 a factor of 1798?
False
Does 40 divide 9445?
False
Does 4 divide 1195?
False
Does 133 divide 1330?
True
Is 8091 a multiple of 9?
True
Does 11 divide 626?
False
Is 15 a factor of 59?
False
Is 2862 a multiple of 27?
True
Is 1076 a multiple of 4?
True
Does 30 divide 152548?
False
Is 38 a factor of 171?
False
Is 183 a multiple of 25?
False
Is 10 a factor of 320?
True
Is 23 a factor of 1411?
False
Does 10 divide 1449?
False
Is 4 a factor of 1371?
False
Is 100 a factor of 6600?
True
Is 16 a factor of 208?
True
Is 19396 a multiple of 20?
False
Is 28006 a multiple of 38?
True
Does 94 divide 9375?
False
Does 48 divide 960?
True
Is 50 a factor of 57668?
Fa
|
{
"pile_set_name": "DM Mathematics"
}
|
11
-241242 (base 5) to base 12
-5217
What is 160b (base 14) in base 6?
30111
Convert 4420 (base 6) to base 5.
13040
Convert -10001101001111 (base 2) to base 5.
-242124
What is -34 (base 13) in base 16?
-2b
Convert -a4 (base 12) to base 2.
-1111100
What is -3c5 (base 13) in base 10?
-668
-14b2 (base 12) to base 15
-ac8
What is -152 (base 6) in base 10?
-68
What is 41201 (base 5) in base 8?
5164
What is 20011 (base 3) in base 5?
1131
2221 (base 5) to base 8
467
Convert 221 (base 5) to base 14.
45
3cc (base 13) to base 10
675
Convert -26535 (base 8) to base 2.
-10110101011101
-1303011 (base 4) to base 7
-30321
-120101 (base 3) to base 15
-1ca
Convert -10540 (base 6) to base 7.
-4242
Convert 20030 (base 4) to base 7.
1346
Convert -1430 (base 7) to base 12.
-3a8
Convert -101601 (base 7) to base 5.
-1024240
Convert 5638 (base 10) to base 8.
13006
-854 (base 14) to base 10
-1642
-358 (base 10) to base 16
-166
What is 9561 (base 11) in base 12?
73a3
What is 1cf1 (base 16) in base 11?
5626
c97 (base 15) to base 14
1070
-11101111111 (base 2) to base 12
-113b
Convert 12433 (base 5) to base 11.
823
-10111101101 (base 2) to base 15
-6b2
110101100 (base 2) to base 10
428
Convert -101101001000101 (base 2) to base 12.
-11459
What is 4507 (base 8) in base 2?
100101000111
Convert 67a (base 11) to base 10.
813
Convert 10011111100 (base 2) to base 7.
3502
-215 (base 9) to base 16
-b0
What is 4751 (base 12) in base 16?
1f2d
What is 135 (base 16) in base 15?
159
Convert -1011002 (base 3) to base 12.
-59b
What is -6070 (base 14) in base 7?
-66200
What is -113 (base 8) in base 16?
-4b
What is 1102022222 (base 3) in base 12?
14208
Convert -1120 (base 8) to base 14.
-304
Convert -61462 (base 7) to base 8.
-35215
What is 12455 (base 6) in base 12?
112b
What is -2171 (base 11) in base 6?
-21125
What is -9110 (base 10) in base 15?
-2a75
What is -23 (base 4) in base 9?
-12
3405 (base 9) to base 11
1988
What is 1e5 (base 16) in base 5?
3420
What is -176 (base 15) in base 6?
-1320
What is 620 (base 14) in base 2?
10010110100
Convert 1869 (base 11) to base 12.
145a
13123010 (base 4) to base 10
30404
110001001111 (base 2) to base 9
4281
Convert -370 (base 11) to base 5.
-3230
6ccc (base 13) to base 16
3c12
What is -1231212 (base 5) in base 3?
-1012211101
What is 1aa (base 12) in base 4?
10102
6628 (base 9) to base 16
1316
120 (base 16) to base 5
2123
Convert -44c (base 13) to base 2.
-1011100100
Convert -93a (base 13) to base 4.
-120202
-567 (base 8) to base 7
-1044
Convert -4947 (base 10) to base 8.
-11523
What is -11111010111 (base 2) in base 4?
-133113
10808 (base 10) to base 9
15738
376 (base 9) to base 3
102120
Convert -567 (base 14) to base 11.
-894
c962 (base 14) to base 15
a488
What is -1101011011 (base 2) in base 7?
-2335
What is 210200 (base 3) in base 5?
4320
What is 11120 (base 3) in base 11?
102
4380 (base 9) to base 10
3231
Convert 133131 (base 6) to base 7.
51025
Convert -10310 (base 4) to base 16.
-134
Convert 165 (base 7) to base 6.
240
Convert -12144 (base 5) to base 12.
-650
5654 (base 9) to base 4
1001110
Convert -372 (base 11) to base 8.
-672
What is 4635 (base 7) in base 15?
77c
What is 8328 (base 9) in base 3?
22100222
Convert 69a (base 15) to base 6.
10531
Convert 27a0a (base 11) to base 8.
115613
What is 47b0 (base 14) in base 13?
58c9
Convert -11000111010000 (base 2) to base 13.
-5a5c
Convert -6478 (base 9) to base 2.
-1001010100001
-5124 (base 7) to base 4
-123312
-1221201 (base 3) to base 6
-10331
Convert -30211 (base 5) to base 13.
-b57
Convert 34141 (base 6) to base 16.
12cd
-416 (base 8) to base 5
-2040
Convert 15502 (base 7) to base 4.
1010023
2122 (base 8) to base 9
1458
Convert -21430 (base 5) to base 12.
-a42
18535 (base 9) to base 15
3c05
Convert -3433 (base 13) to base 9.
-11021
Convert 212022110 (base 3) to base 5.
1020440
2b4 (base 16) to base 11
57a
What is -380 (base 11) in base 3?
-121201
What is 403121 (base 6) in base 4?
13300321
-11230 (base 7) to base 10
-2863
-2305 (base 6) to base 8
-1041
Convert -2f03 (base 16) to base 14.
-4559
Convert 400134 (base 5) to base 3.
122012121
Convert -5eb0 (base 15) to base 7.
-112602
Convert -c431 (base 13) to base 5.
-1331310
350 (base 6) to base 11
116
What is -640 (base 7) in base 5?
-2242
What is 9997 (base 11) in base 6?
140554
What is 522 (base 9) in base 6?
1545
Convert 2bdd (base 14) to base 13.
3750
What is 23096 (base 12) in base 15?
dcd0
What is 8613 (base 9) in base 12?
37b6
Convert 321021 (base 5) to base 14.
3cc9
What is 43a (base 14) in base 16?
344
Convert -11111001011010 (base 2) to base 12.
-92a2
Convert -7322 (base 15) to base 2.
-101111100001100
-24502 (base 7) to base 8
-14425
What is -1024254 (base 6) in base 8?
-142052
What is -415 (base 11) in base 14?
-27a
Convert -41396 (base 10) to base 3.
-2002210012
What is -2111121 (base 3) in base 14?
-945
Convert 100001201 (base 4) to base 15.
146a8
20333 (base 4) to base 8
1077
12220 (base 6) to base 7
5166
Convert 15a70 (base 11) to base 13.
a382
What is 1111100010 (base 2) in base 12?
6aa
Convert 27b (base 12) to base 16.
17f
Convert -98c (base 14) to base 8.
-3540
-122 (base 4) to base 16
-1a
What is 1012001 (base 3) in base 5?
11430
-1b0 (base 14) to base 15
-185
-12621 (base 9) to base 6
-103244
Convert -4214 (base 6) to base 15.
-431
What is 444 (base 13) in base 3?
1000010
What is -22344 (base 6) in base 10?
-3160
What is -5910 (base 13) in base 5?
-400034
-23665 (base 9) to base 15
-4a6e
What is -222a (base 13) in base 7?
-16621
300 (base 11) to base 5
2423
What is 1110 (base 2) in base 8?
16
What is -505050 (base 6) in base 8?
-116066
-12321 (base 5) to base 16
-3c1
2225 (base 14) to base 9
8100
27379 (base 10) to base 13
c601
Convert 18 (base 10) to base 15.
13
-531 (base 10) to base 11
-443
Convert -3a0a (base 14) to base 15.
-3052
-518 (base 12) to base 4
-23210
What is 66a (base 13) in base 8?
2116
88 (base 15) to base 10
128
1554 (base 15) to base 6
33111
What is -424233 (base 5) in base 15?
-4398
What is -102133 (base 4) in base 8?
-2237
2683 (base 11) to base 4
312113
What is -618 (base 16) in base 2?
-11000011000
Convert -110000 (base 2) to base 15.
-33
What is -5232 (base 6) in base 7?
-3263
412 (base 12) to base 16
24e
What is -10563 (base 9) in base 16?
-1b6f
What is 35411 (base 7) in base 14?
3478
-641 (base 15) to base 6
-10311
What is -110010000 (base 2) in base 7?
-1111
What is -111364 (base 7) in base 3?
-1000002021
Convert 1343 (base 15) to base 9.
5570
What is -21074 (base 10) in base 11?
-14919
What is 14993 (base 11) in base 6?
241540
What is -2656 (base 12) in base 2?
-1000100100010
dba (base 16) to base 6
24134
562 (base 12) to base 10
794
What is 20053 (base 6) in base 5?
41000
Convert -824 (base 13) to base 3.
-1220012
What is 2202233 (base 4) in base 2?
10100010101111
74254 (base 8) to base 5
1442032
Convert -aa8 (base 11) to base 14.
-6ac
What is -12781 (base 10) in base 7?
-52156
-783 (base 10) to base 8
-1417
Convert -10012112 (base 3) to base 4.
-210200
Convert -30c0 (base 13) to base 6.
-51123
What is -115 (base 12) in base 11?
-137
Convert 399 (base 11) to base 12.
333
18c8 (base 13) to base 3
12002112
What is -1403 (base 7) in base 5?
-4132
What is -2db8 (base 14) in base 12?
-48b2
Convert -32514 (base 6) to base 15.
-150a
Convert -1cc2 (base 13) to base 9.
-6010
What is -18042 (base 10) in base 5?
-1034132
-862 (base 11) to base 2
-10000001100
What is -11000100001101 (base 2) in base 6?
-134045
What is -35394 (base 11) in base 16?
-c764
What is 10111100000010 (base 2) in base 8?
27402
What is 10130 (base 4) in base 5?
2114
679 (base 12) to base 15
43c
What is 111222 (base 3) in base 16?
179
-11 (base 10) to base 13
-b
-211 (base 4) to base 7
-52
What is 6513 (base 10) in base 5?
202023
What is 20302 (base 4) in base 15?
277
-15671 (base 10) to base 9
-23442
Convert 44919 (base 11) to base 2.
1111110111100101
What is 2463 (base 11) in base 5?
100330
Convert -10100000100 (base 2) to base 15.
-5a9
Convert 113033 (base 4) to base 13.
8a5
15451 (base 9) to base 14
3bd6
Convert 213301 (base 4) to base 2.
100111110001
What is 10001010010 (base 2) in base 16?
452
What is -16c0 (base 14) in base 15?
-1328
1227 (base 13) to base 8
5010
Convert -1856 (base 13) to base 15.
-1115
-12471 (base 8) to
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 11*r**2 + 3*r**2 + w.
-5*(r - 1)*(r + 1)
Let d = 3587/18 - 286/9. Let k = d - 167. Determine o so that 0 + o**2 - k*o = 0.
0, 1/2
Let l(k) be the third derivative of -2/39*k**3 + 0 + 1/195*k**6 + 4*k**2 - 4*k - 1/30*k**5 + 11/156*k**4. Factor l(x).
2*(x - 2)*(x - 1)*(4*x - 1)/13
Let h(o) = -6*o**3 - 18*o**2 - 8*o - 4. Let s be 250/(-50) - (1 - 3). Let k(g) = -5*g**3 - 16*g**2 - 8*g - 3. Let x(u) = s*h(u) + 4*k(u). Factor x(r).
-2*r*(r + 1)*(r + 4)
Factor 25/3*o**3 + 1/3*o**4 + 42*o**2 + 236/3*o + 152/3.
(o + 2)**3*(o + 19)/3
Let z(d) be the second derivative of -1/55*d**6 - 32*d - 1/110*d**5 + 1/231*d**7 + 0*d**2 + 1/22*d**4 + 0*d**3 - 2. Let z(v) = 0. What is v?
-1, 0, 1, 3
Let j(r) be the first derivative of -16*r + 80 - 7*r**4 - 2/3*r**6 - 4/3*r**3 + 4*r**5 + 16*r**2. Suppose j(p) = 0. Calculate p.
-1, 1, 2
Suppose -19*m + 18*m = -10, -5*u + 2*m - 6 = 14. Suppose u*i + 4/5 - 4/5*i**2 = 0. What is i?
-1, 1
Let n(y) = 372*y + 2241. Let l be n(-6). Let t(k) be the first derivative of -44 + 15*k + 9/2*k**4 - 5*k**3 - l*k**2. Suppose t(a) = 0. Calculate a.
-1, 5/6, 1
Let c(k) be the first derivative of -k**3/15 - 146*k**2/5 + 525. Find o, given that c(o) = 0.
-292, 0
Suppose s + 364 = 369. Factor -31*p - s*p**2 - 8 + 25*p - 26*p - 57 - 38*p.
-5*(p + 1)*(p + 13)
Suppose 0 = -17*j + 12*j. Suppose -142 = -3*o - j*l - 2*l, -o - l = -46. Suppose -o*s**3 + 8 - s**2 - s**2 + 32*s + 12*s**2 = 0. Calculate s.
-2/5, 1
Determine f, given that 0 + 44/5*f**4 + 372/5*f**3 - 4/5*f**5 + 612/5*f**2 + 0*f = 0.
-3, 0, 17
Let a(p) be the second derivative of p**7/3780 - p**6/180 + p**5/36 - p**4/2 + p. Let i(r) be the third derivative of a(r). Factor i(l).
2*(l - 5)*(l - 1)/3
Suppose g**2 - 1/4*g**3 + 9 + 41/4*g = 0. Calculate g.
-4, -1, 9
Let f be 8 + 0 + (-142402)/17810. Let s = f - -1361/2055. Factor -2/3 - s*x**2 + 4/3*x.
-2*(x - 1)**2/3
Let o(f) be the first derivative of -6*f**3 + 6*f**4 - 3/5*f**5 - 12*f**2 + 21*f - 15. Let o(b) = 0. Calculate b.
-1, 1, 7
Let m(i) be the first derivative of i**3/12 - 3205*i**2/4 + 10272025*i/4 + 2851. Let m(u) = 0. What is u?
3205
Let b(t) be the second derivative of t**6/60 + t**5/10 + t**4/8 - t**3/3 - t**2 - 241*t. Solve b(a) = 0.
-2, -1, 1
Let y be (((-52)/(-8))/13)/((-1)/(-4)). Find j, given that 0*j - 24*j + 2 + 6*j**y - 8*j - 26 = 0.
-2/3, 6
Let j(p) be the second derivative of p**5/30 + 19*p**4/18 - 22*p**3/9 - 40*p**2/3 - 1153*p. Factor j(n).
2*(n - 2)*(n + 1)*(n + 20)/3
Let c(m) = 498*m**3 - 5*m**2 - 6*m. Let a be c(-1). Let n = -2484/5 - a. Let 4/5*l**2 - n*l**4 + 2/5*l**3 - 2/5*l - 3/5 = 0. Calculate l.
-1, 1, 3
Let m be (3632/(-210) - (-316)/3318) + 19. Factor 12/5*t**2 - 6/5 - m*t**3 + 3*t.
-3*(t - 2)*(t + 1)*(3*t - 1)/5
Let c be -11 - 8/6*(-5226)/268. Let n(i) be the third derivative of -c*i**2 + 0 - 1/8*i**4 + 0*i + 1/60*i**5 + 1/3*i**3. Factor n(v).
(v - 2)*(v - 1)
Let s(w) be the third derivative of -8/5*w**3 + 0*w + 0 - 9/10*w**4 + 1/40*w**6 - 59*w**2 + 3/25*w**5. Factor s(o).
3*(o - 2)*(o + 4)*(5*o + 2)/5
Let f(i) be the second derivative of 0 + 25/12*i**4 - 1/18*i**6 + 1/2*i**5 - 66*i + 20/9*i**3 + 0*i**2. Suppose f(z) = 0. What is z?
-1, 0, 8
Factor 12501*t + 385 + 12509*t - 50007*t + 12535*t + 12510*t - t**2.
-(t - 55)*(t + 7)
Let g(m) be the first derivative of m**3/12 - 3*m**2/8 + 3673. Suppose g(k) = 0. Calculate k.
0, 3
Let z = -298038 + 3278448/11. Factor 56/11*c**2 + z*c + 4/11.
2*(4*c + 1)*(7*c + 2)/11
Let y(w) be the third derivative of -17*w**7/210 + 53*w**6/120 - 19*w**5/20 + 23*w**4/24 - w**3/3 + 375*w**2 - 2. Solve y(a) = 0 for a.
2/17, 1
Suppose 0 = 6*m + 25*m - 124. Determine c, given that -2*c**m - 38*c**2 + 8*c + 5*c**3 + 10*c + 20*c**3 - 3*c**3 = 0.
0, 1, 9
Let c(l) = -l + 0*l - 3 - l + 13. Let s be c(3). Determine u, given that 4*u**2 - 8 + 2*u**s + u**2 - 2 - 15*u**3 + 15*u + 3*u**4 = 0.
-1, 1, 2
Let b = 23413/3 - 7803. Let d(n) be the first derivative of -16*n**2 + 7*n**4 - 4*n**5 + 16*n - 7 + b*n**3 + 2/3*n**6. Determine x so that d(x) = 0.
-1, 1, 2
Let l = 13 + -10. Factor 57*b**4 + 17*b**4 - 189*b**l - 23*b**4 + 0*b**5 - 3*b**5 - 243*b**2.
-3*b**2*(b - 9)**2*(b + 1)
Let m(n) be the first derivative of n**6/39 + 24*n**5/65 - 8*n**4/13 - 68*n**3/39 + 63*n**2/13 - 4*n + 732. Let m(g) = 0. What is g?
-13, -2, 1
Factor -18*g + 0 + 1/3*g**3 + g**2.
g*(g - 6)*(g + 9)/3
Let s(c) be the second derivative of -3/10*c**5 - c - 19 + 7/12*c**4 - 1/60*c**6 - 13/4*c**2 + c**3. Factor s(l).
-(l - 1)**2*(l + 1)*(l + 13)/2
Suppose 0 = -3*t + 2*i + 31, 7*i - 2*i = 3*t - 19. Let k = 43 - t. Find x such that 7*x - 2*x**5 + 10*x**4 + 10*x**4 - 18*x**3 - 20*x**2 - k*x**3 + 43*x = 0.
-1, 0, 1, 5
Suppose -3*p + 23 + 4 = 0. Suppose 0 = 4*m + p - 17. Factor -1 + 2*f**3 + 12*f**m - 17 + 24*f + 34.
2*(f + 2)**3
Let d(s) = -2*s - 9. Let p be d(-7). Suppose 0 = -2*n - 2*x - 14, -9*n + 5*n = -2*x - 14. Factor 1/4*a**p + 0 + n*a**4 + 0*a**2 + 0*a**3 + 0*a.
a**5/4
Let g(j) be the first derivative of j**6/27 + 4*j**5/15 - j**4/18 - 4*j**3/9 - 1621. Determine f, given that g(f) = 0.
-6, -1, 0, 1
Let q(y) be the first derivative of -1/6*y**4 - y + 8/27*y**3 + 1/45*y**5 - 26 + 1/3*y**2. Solve q(k) = 0 for k.
-1, 1, 3
Let v = -31/447 + -67168/447. Let z = -2243/15 - v. Factor 2/5*o + 0 + z*o**2.
2*o*(2*o + 1)/5
Find g, given that -43*g**3 + 270*g**2 - 45*g**4 + 20*g**4 + 5*g**5 + 135*g - 810 + 5*g**4 - 17*g**3 = 0.
-3, -2, 3
Let r = 2/357 - -349/1428. Let m(p) be the first derivative of 0*p**2 + r*p**3 - 21 + 0*p. Factor m(n).
3*n**2/4
Let w = -25990 + 26002. Let x(g) be the second derivative of g**3 + 0 + 1/4*g**4 + w*g - 9/2*g**2. Determine i, given that x(i) = 0.
-3, 1
Let m(l) be the second derivative of -l**7/168 - l**6/15 + 17*l**5/40 + l**4/6 - 11*l**3/8 + l - 1959. Let m(q) = 0. What is q?
-11, -1, 0, 1, 3
Suppose -t = 3*a + 8 - 22, 0 = 2*a - 8. Let w = 137474/13 + -10574. Factor -28/13*g**3 - 32/13*g**t - 2/13*g**5 - w*g**4 - 4/13 - 18/13*g.
-2*(g + 1)**4*(g + 2)/13
Let p(g) be the second derivative of -3*g + 7/5*g**6 + 5/2*g**4 - 29/10*g**5 + 0*g**2 - 10 - 5/21*g**7 - 2/3*g**3. Let p(f) = 0. Calculate f.
0, 1/5, 1, 2
Let g(n) be the second derivative of 3*n**5/20 + 353*n**4/4 + 703*n**3/2 + 1053*n**2/2 + 2*n + 121. Factor g(c).
3*(c + 1)**2*(c + 351)
Let r(y) = -15*y + 167. Let l be r(11). Solve 2 - 11*b**2 + 3*b**2 + 6*b + l*b**3 - 12 + 10 = 0 for b.
0, 1, 3
Let z(m) be the third derivative of -m**5/480 - m**4/16 - 2*m**3/3 - 21*m**2 - 8*m. Factor z(p).
-(p + 4)*(p + 8)/8
Suppose 69*f = 19*f + 36750. Let b = -1469/2 + f. Let 0 + 1/2*o**2 + b*o**3 - 1/2*o - 1/2*o**4 = 0. Calculate o.
-1, 0, 1
Suppose -41*j - 15*j**4 + 8*j + 9*j**2 + 400 + 413 - 807 + 33*j**3 = 0. Calculate j.
-1, 1/5, 1, 2
Suppose 298 = i + 2*n, 21*n = -i + 41*n + 430. Factor -i*u**2 - 256/7*u - 1922/7*u**3 - 8/7.
-2*(u + 1)*(31*u + 2)**2/7
Let c(t) be the second derivative of -8/5*t**3 - 36/5*t**2 - 1/10*t**4 - 28*t - 1. Solve c(j) = 0.
-6, -2
Let a = 26 - 26. Let g be 4 + -2 + 1 - a/2. Factor 51*q**2 - q**3 - 35*q**2 + 4*q**3 - 19*q**g + 4*q**4.
4*q**2*(q - 2)**2
Let v(k) = k**2 + 21*k - 72. Let j be v(-24). Suppose -3*c = -2*o + 6, j = 4*o + o + 4*c - 15. Factor 0 - 1/4*x - 1/2*x**2 - 1/4*x**o.
-x*(x + 1)**2/4
Factor 167*g + 48*g - 431*g**2 + 8 + 212 + 10*g**3 - 14*g**2.
5*(g - 44)*(g - 1)*(2*g + 1)
Let y(b) = -2*b**2 - 7*b + 6. Let a be y(-4). Determine u, given that -12*u**2 - 53*u**3 + u**4 + a*u**4 + 65*u**3 - 3*u**5 = 0.
-2, 0, 1, 2
Let g(q) = -41 - 145*q + 9*q**2 + q**2 + 1026. Let u(h) = 0*h**2 + 2*h**2 + 2 - h - h**2 + 1 - 2. Let k(a) = -g(a) + 5*u(a). Solve k(p) = 0.
14
Find f, given that 537/4*f - 135/2 - 9/4*f**3 - 261/4*f**2 + 3/4*f**4 = 0.
-9, 1, 10
Let r(h) = h**2 - 2*h + 1. Let a(z) = 4*z**2 - 10*z - 3. Let p(v) = -2*a(v) + 10*r(v). Let l(k) = -k**2 + k - 16. Let q(c) = -4*l(c) - 3*p(c). Factor q(f).
-2*(f - 2)*(f + 4)
Let u(k) = -k + 1. Let q be u(-6). Suppose q*h + 11 = 8*h. Let -3*m**4 - 3 + 12*m**3 - h*m**2 - 17*m**2 + 12*m + 10*m**2 = 0. What is m?
1
Let o = -1/2783 + 2785/5566. Let a(t) be the first derivative of -1/4*t**2 - 1/10*t**5 + o*t**3 + 1/8*t**4 + 17 - t. Factor a(j).
-(j - 2)*(j - 1)*(j + 1)**2/2
Let i(f) = -2*f**4 + 40*f**3 + 76*f**2 + 22*f. Let c(u) = u**4 - 37*u**3 - 76*u**2 - 20*u. Let s(o) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
sqrt(36)/sqrt(4)) - sqrt(10)))/((sqrt(180)/sqrt(3)*-2)/((-1*sqrt(144))/sqrt(12))).
sqrt(2)/12
Simplify (0 + ((sqrt(128) + sqrt(128)*1 + -2)**2 - (-4*sqrt(128)*1)**2 - (sqrt(128) + 1*(sqrt(128) + sqrt(128) + -1) - sqrt(128) - (5 + 1 + sqrt(128))**2)))*4.
-5468 + 64*sqrt(2)
Simplify (-1*(-2*sqrt(425)*2 + (sqrt(425) + -1)*-6) - (-4*(sqrt(425) - (1 + sqrt(425))) + (2 + sqrt(425) + sqrt(425))*-5))**2.
170000
Simplify ((-4 + sqrt(567) + 1*sqrt(567) + 4 + 3 + -1*sqrt(567) + 4 + -2 + sqrt(567) + -5)*5)**2.
56700
Simplify ((sqrt(4536) + sqrt(4536)*-3 + sqrt(4536) + sqrt(56) + (2*sqrt(224))/sqrt(4))/((sqrt(8) - sqrt(80)/sqrt(1210))*1))**2.
7623/25
Simplify 1*(sqrt(3564) - (sqrt(3564) + -3*sqrt(3564)))**2 + 3 + sqrt(3564)*3 + 5 + 3 + -1.
54*sqrt(11) + 32086
Simplify (((2*sqrt(648) + sqrt(648) - sqrt(648))/sqrt(12))/(sqrt(225)*6))/(-1*(sqrt(75)*2 + sqrt(75))*5).
-sqrt(2)/1125
Simplify (sqrt(240)/(sqrt(192)*2))/(-5*sqrt(16)/sqrt(4)*-4)*-5.
-sqrt(5)/32
Simplify -2 + (3*(sqrt(108) + 1) - (0 + sqrt(108))*-5)**2 + ((0 + sqrt(108) + 2)**2 - (sqrt(108)*2 + 5)**2) + -3.
192*sqrt(3) + 6571
Simplify 1*(((sqrt(80)/sqrt(90))/(sqrt(16) + sqrt(64)/sqrt(4)) - ((sqrt(88)/(sqrt(44)/sqrt(4)))/(-4*sqrt(16)))**2) + 1).
sqrt(2)/12 + 31/32
Simplify sqrt(24)/sqrt(12) + 4 + ((-1 + sqrt(2))*6 - sqrt(2)) + (sqrt(44)/sqrt(2)*3)/(-6*sqrt(11)*1).
-2 + 11*sqrt(2)/2
Simplify (-5*(sqrt(18)/sqrt(54) + 4*(sqrt(3) - (sqrt(3) + -3*sqrt(3)) - sqrt(3)) + (sqrt(15)*-2*5)/(2*-1*sqrt(5)))*-5)**2.
1000000/3
Simplify (1*sqrt(171)*-1)/(sqrt(99)/(sqrt(11) + -2*sqrt(11)))*-4 - (4 + (-3 + sqrt(304) + sqrt(1539) + -3 + sqrt(1539))**2).
-9236 + 260*sqrt(19)
Simplify 2 + 1*((-3*(-1 + sqrt(68)))**2 + (1 + 0 + sqrt(68))**2)*4 + 3.
-128*sqrt(17) + 2765
Simplify (2*sqrt(5) + 1 + sqrt(500) + -2 + sqrt(5))**2 + (sqrt(5) + sqrt(30)/(sqrt(6)*-3) + -2)*-4.
-86*sqrt(5)/3 + 854
Simplify (sqrt(72)/(sqrt(8) - 4*sqrt(800) - sqrt(8)))/(sqrt(9)/(sqrt(3) + sqrt(36)/(sqrt(12) - sqrt(1200)) + sqrt(3))).
-17*sqrt(3)/360
Simplify ((sqrt(45) + sqrt(90)/sqrt(2))*-3*4 + -4 + sqrt(40)/(sqrt(56)/sqrt(175)))**2.
536*sqrt(5) + 22461
Simplify ((5*sqrt(55)*-2)/((sqrt(60) - (sqrt(120)/sqrt(2) - sqrt(60)))/sqrt(12)) + 5*-3*((2 + sqrt(1100) - sqrt(1100))**2 + sqrt(1100)))*5.
-800*sqrt(11) - 300
Simplify ((sqrt(567) - (-3 + sqrt(567)*4) - 3*sqrt(567)*-3) + 4)**2.
756*sqrt(7) + 20461
Simplify 4 + 5*((sqrt(156) - -3*(sqrt(156) - -2*sqrt(156)))/(sqrt(24)/sqrt(2)*6)*6)**2 + 5.
6509
Simplify 2*(((-4*(sqrt(117) + sqrt(117)*3) - -3*sqrt(117)*3)*-1)**2 + -3).
11460
Simplify -4*(((sqrt(300) - (sqrt(300) + 0) - -6*(sqrt(3) - (0 + sqrt(3)))) + -1*(-1 + -2*sqrt(3)) + 3)*-3)**2.
-1008 - 576*sqrt(3)
Simplify (((sqrt(280) - (sqrt(280) - 1*sqrt(280)))/sqrt(8) + (sqrt(4235)*4 - sqrt(4235)))/((-5*sqrt(336))/((sqrt(36)*1)/sqrt(12))))**2.
289/20
Simplify (5*(sqrt(68) + (2*(sqrt(68) + -1*sqrt(68)) - sqrt(68) - sqrt(68) - sqrt(68)))*-1)/((sqrt(4) - sqrt(4)*3)*1 + sqrt(36) + sqrt(36)*-3)*-3.
15*sqrt(17)/4
Simplify (sqrt(245)*-1)**2 + (sqrt(45) - sqrt(5))*6 - ((sqrt(25)/sqrt(605))**2 - (sqrt(5)*2 + -1)).
14*sqrt(5) + 29519/121
Simplify (((-1 + sqrt(176))*-3 - (sqrt(176) + 5 + 2*sqrt(176)) - 6*(0 + sqrt(176)*1))*3)**2 + 2.
1728*sqrt(11) + 228134
Simplify (3 + (1 + sqrt(80))**2 - sqrt(80) - 6*(sqrt(80)*-2)**2) + 2 - ((sqrt(180)*2)/(sqrt(81)*-6) + -4).
-1830 + 38*sqrt(5)/9
Simplify -2*-1*-3*(0 + (sqrt(720) - (sqrt(720) + -2*sqrt(720) + sqrt(720) + -3))**2 + 2*(sqrt(720)*-2)**2)*-2.
864*sqrt(5) + 77868
Simplify (2*(sqrt(78)*2 + sqrt(78))*2*-6)/(sqrt(216) + (sqrt(216) - (sqrt(216) + -2*sqrt(216))*-3 - sqrt(216)) + (sqrt(216) - sqrt(216)*1)*3 + sqrt(216)).
12*sqrt(13)
Simplify ((((sqrt(153) - (0 + sqrt(153))) + -1)*6)**2 + (4 + sqrt(68) - ((-1*sqrt(17))**2 + -4 + sqrt(17))) + 2)*-5.
-145 - 5*sqrt(17)
Simplify ((-2*sqrt(315))/(-6*sqrt(25)/sqrt(5)) + (sqrt(7)*-2 - sqrt(7))*6 + -2 + (sqrt(7)*-1 + 5 - -1*sqrt(7)*-2))**2.
-120*sqrt(7) + 2809
Simplify ((sqrt(150)/(sqrt(10) + 3*sqrt(10)) + (-3*sqrt(2160) - sqrt(2160)))/(sqrt(768) + -4*(sqrt(768) + 2*sqrt(768) + sqrt(768))))**2.
36481/184320
Simplify (sqrt(704) + 1 + (1*sqrt(22))/sqrt(2) + sqrt(11))*-1 - (-1 + (sqrt(99) - (-1 + -1*sqrt(99) - sqrt(99))))**2.
-892 - 10*sqrt(11)
Simplify (sqrt(2448) + 2*sqrt(2448) + 4 - (-4 + ((sqrt(2448) - (sqrt(2448)*1 + sqrt(2448)))**2 + sqrt(2448) - sqrt(2448))))*-4 - (-5 + 1*(sqrt(2448) + -2))*-5.
-84*sqrt(17) + 9725
Simplify 1 + 3 + ((sqrt(6300) - (sqrt(6300) + 1)) + -2)**2 + 5 + (sqrt(6300) - (sqrt(6300) - (sqrt(6300) + -3*sqrt(6300))))**2.
25218
Simplify (-1 + 2 + (2 + 3*sqrt(245) - (sqrt(245) + 0)*2)*-6)**2.
924*sqrt(5) + 8941
Simplify (-4 + (sqrt(833) - (sqrt(833)*-2 + 3)))**2 + (sqrt(85)*-2 + sqrt(85))/sqrt(5) + -5 + 2.
-295*sqrt(17) + 7543
Simplify ((sqrt(225) - sqrt(225)*-3 - sqrt(225) - (-2*sqrt(441) - sqrt(441) - sqrt(441)))/((sqrt(9)*-1*6)/(sqrt(33)/(sqrt(33)/sqrt(3)))))**2.
1849/12
Simplify (-3*-3*((sqrt(187)*2 - sqrt(187)) + sqrt(187))*-4)/((2*sqrt(77) - sqrt(77))/sqrt(7) - sqrt(1331)*2).
24*sqrt(17)/7
Simplify ((sqrt(70) + sqrt(70)*1*6 - sqrt(70) - (sqrt(70) - (sqrt(70) - (6*sqrt(70)*1 + sqrt(70)))))/((sqrt(90)*2*-1)/(6*sqrt(81))))**2.
567
Simplify (sqrt(156)/sqrt(12) + 5 + -2 + -4 + sqrt(13) + (sqrt(1872)*2 + 5)*1)*1.
4 + 26*sqrt(13)
Simplify (-2*(-2 + (2*sqrt(77)*1 + sqrt(77) - sqrt(77))/((sqrt(112)/sqrt(2))/sqrt(8)) + -3 + 1 + 4))**2.
176
Simplify ((sqrt(189) - sqrt(189)*-2)*1 - sqrt(189) - (sqrt(189)*-1*6 - sqrt(189)))/(6*sqrt(70)/(sqrt(110)/(sqrt(11) - (sqrt(11) - sqrt(44)/sqrt(4))))).
9*sqrt(3)/2
Simplify (0 + (-2 + sqrt(17))*4*4)**2 - (-2 + (-3*sqrt(102)*2)/sqrt(6))**2.
-1048*sqrt(17) + 4760
Simplify -2 + sqrt(363)*-2 + (-1*sqrt(363))**2*-5 + 0 + (6*(sqrt(216)*1)/(5*(sqrt(32) + sqrt(2))))**2.
-1131737/625 - 22*sqrt(3)
Simplify sqrt(720) + -4 + (sqrt(720) + -3)**2 + (sqrt(720) - -6*1*sqrt(720))**2 + (-4 + sqrt(720)*1 - sqrt(720) - ((-1 + sqrt(720))*2)**2).
36*sqrt(5) + 33117
Simplify ((5 + sqrt(720)*1 + 2 + sqrt(720) + (5 + -1 + sqrt(720) - (-3 + (sqrt(720) - sqrt(720)*-2) - sqrt(720))))*4)**2*2 + 3.
10752*sqrt(5) + 29315
Simplify (-1 + -3*(sqrt(363)*-2 + -2)*-2 + -5 + -5)**2.
6072*sqrt(3) + 52801
Simplify 3*((0 + sqrt(1100))*-4)**2 - (5 + -2*sqrt(275) + -4).
10*sqrt(11) + 52799
Simplify ((sqrt(24)/sqrt(300) - (4 + sqrt(18) + sqrt(2))) + (sqrt(2) - sqrt(72) - (sqrt(14)/sqrt(7) + 5))**2)*1.
281*sqrt(2)/5 + 93
Simplify ((sqrt(3)*1)**2 + -2)*2 + -6*(1 + sqrt(147)) + -2*sqrt(432) + sqrt(21)/(sqrt(7) - (sqrt(7) + sqrt(28))) + sqrt(48) + -1.
-125*sqrt(3)/2 - 5
Simplify ((2*(sqrt(200) - (-2 + sqrt(200))) + sqrt(200))*-1 + -4 - (-1 + 2 + sqrt(200) + sqrt(200))*1*6)**2.
3640*sqrt(2) + 33996
Simplify ((-3 + ((2*sqrt(84) - sqrt(84))/sqrt(6))/sqrt(2))**2 - (-4 + 3*(sqrt(7) + -1)*-3)**2)*3.
-1728 + 252*sqrt(7)
Simplify ((4*-1*sqrt(275))/(sqrt(640)/sqrt(8) - sqrt(5)))/((-5*sqrt(375) + sqrt(15) + sqrt(15))/((sqrt(12)/sqrt(4) - sqrt(3))*-5 + sqrt(3))).
4*sqrt(11)/69
Simplify ((sqrt(8) - (sqrt(1400)/sqrt(7) - sqrt(8)))/(sqrt(18)*-1 - sqrt(2)))/(sqrt(98) + -1*sqrt(98)*-3 - -4*((sqrt(98) - -2*sqrt(98)) + sqrt(98))).
3*sqrt(2)/560
Simplify ((2*sqrt(440)*-4)/sqrt(8))/((sqrt(44) - (sqrt(44) + sqrt(132)/sqrt(3)))*5)*-2*-6.
48*sqrt(5)/5
Simplify (4*5*(-4*-1*sqrt(19) + -2*sqrt(76)) + (-2*(1 + sqrt(1539)) - (sqrt(152) - sqrt(152)*-1*4)/sqrt(8)))**2.
92*sqrt(19) + 10055
Simplify (0 + sqrt(343) + (0 + sqrt(343) - sqrt(343)) + 1 - (sqrt(14)/sqrt(2) + 2 + -1 + -3))**2.
36*sqrt(7) + 261
Simplify 2 + ((sqrt(228)*1*5 + (sqrt(228) + -1*sqrt(228) + sqrt(228) - sqrt(228))*-4)*5)/((-6*((sqrt(84)*-1 - sqrt(84)) + sqrt(84)) - sqrt(84))/(-1*sqrt(112))).
-20*sqrt(19) + 2
Simplify -5*(-3 + (-6*((sqrt(99) - (sqrt(99) + 0 + sqrt(99) + 0)) + -3*(0 + sqrt(99)) + sqrt(99) + sqrt(99)))**2*-4).
285135
Simplify ((-4*(sqrt(54) - sqrt(486) - sqrt(54)))/((sqrt(3) - (sqrt(3)*-1 + sqrt(3)))*6))/((6*sqrt(144)/sqrt(3) + sqrt(48))/(sqrt(72)*1 + sqrt(72))).
12*sqrt(3)/7
Simplify (-5 + ((sqrt(1100) + 0 + sqrt(1100) - sqrt(1100)) + sqrt(1100) + sqrt(1100) + sqrt(1100))**2*-3 + 0 - 3*(-2*(sqrt(1100) + 1 + sqrt(1100))**2 + -1))*-4.
-960*sqrt(11) + 105584
Simplify -1*(sqrt(16)/(sqrt(32)*5)*6 + (0 + (sqrt(32))**2 - sqrt(8)/sqrt(4)*-1) + 3).
-35 - 8*sqrt(2)/5
Simplify 5*(-4 + -2*(0 + sqrt(192) + sqrt(3) + (-1 + sqrt(3))*-3)**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
or m.
-1
Suppose 4*w - 32 = 20. Let x = 0 + 0. Let s be (x - 1)/((-1)/w). Solve -s = -2*v - 3 for v.
5
Let k(b) = b + 18. Let f be k(0). Suppose -f = -5*v + 32. Solve 0*n = 5*n - v for n.
2
Let h(k) = 2*k - 3. Let m be h(6). Suppose -4*n = m - 41. Suppose -n*w = -4*w - 20. Solve -5*p - 20 = w for p.
-5
Let n = -14 + 6. Let j = 13 + n. Solve -2*a = -j*a + 12 for a.
4
Let q(u) = -u**2 - 6*u - 5. Let o be q(-4). Suppose -w = 3*i + 4 - 26, o*i + 3 = 0. Suppose -4*k + w = v, 2*k - 27 + 12 = -v. Solve z = v*z + 16 for z.
-4
Suppose l = 5*l. Suppose 3*g - 2*y + 31 = 0, l*g - 8 = -g - 3*y. Let q = -3 - g. Solve -8 = 3*o + q for o.
-4
Suppose -4 = 5*p - p. Suppose 0*c + 12 = 3*c. Let j = c - p. Solve x + 20 = j*x for x.
5
Suppose v - 2*x + 5*x = -12, 0 = -2*v + x + 11. Solve 6 = n - v*n for n.
-3
Suppose -5*k + 3*u + 28 = -1, -5*u - 3 = 3*k. Suppose -3 = -o - 0. Suppose k*g - 11 = o*m, 5*g - 14 - 5 = 2*m. Solve -4 = g*f + 21 for f.
-5
Let a = 21 + -15. Suppose -3*w - 15 = -a*w. Solve 30 - w = -5*z for z.
-5
Let a be 0/(3 + 0 + -2). Let l = a + 16. Solve -4*r = -0*r - l for r.
4
Let w = -135 + 192. Suppose 3*t - 29 = -y, -y - w = -4*t - 6*y. Suppose -4*c + 3*i = -4, 2 + 3 = 5*c - 4*i. Solve -t = 3*k + c for k.
-3
Let z = -9 - -9. Suppose -4*v + 5 - 1 = z. Solve 5*a + v = -9 for a.
-2
Let h = -7 + 12. Suppose -3*u = -0*u. Solve h*x + 0*x - 15 = u for x.
3
Let m = 29 - 26. Solve 8 = r + m for r.
5
Let q(v) = 2*v**2 + v - 2. Let t be q(-2). Let c = 27 + -23. Suppose 1 = -c*k + 9. Solve -t = k*u - u for u.
-4
Suppose 3*w = 3*y - 36, 7 = 3*y - 2. Let c = -5 - w. Let l = 1 - 1. Solve q + 1 - c = l for q.
3
Suppose -2*x = x - 54. Let d be (-2 - (-9)/1) + 1. Let u = x - d. Solve -4*b + u = -2*b for b.
5
Suppose -11 = 2*n + 7. Let w be (n/3)/(9/(-24)). Solve -m = m + w for m.
-4
Let f = 49 + -25. Suppose 0*b + 2*b = f. Let c be (4 - 1)*b/9. Solve 0 = -q + c for q.
4
Suppose 4*y + y - 2*k + 138 = 0, y = k - 27. Let o be -6*(y/12 + 2). Let h = 2 - 0. Solve 0 = f - o*f + h for f.
2
Suppose 0*r + 21 = -r. Let h be 6/(-1 - r/12). Solve d = -d - h for d.
-4
Let h(o) = 5*o + 42. Let i be h(-8). Solve i*v = v - 4 for v.
-4
Suppose -12 = -7*f + 5*f. Let s(b) = 2*b**3 + b**2 - b. Let c be s(1). Suppose -f = c*m + 4*v, 4*v = -m - v - 12. Solve 10 = -m*n + 5*n for n.
5
Let b = 20 - 34. Let r = b + 24. Solve 4*d + 2 = -r for d.
-3
Suppose 0 = 2*k - 5*v, -k - 2*v = k. Suppose -c - c + 4 = k. Suppose 10 = -c*b, -4*b = -z + 11 + 15. Solve q - z = 3*q for q.
-3
Suppose -2*o - 3*o + 15 = 4*v, 4*v + 9 = 3*o. Solve 4 = o*b - 2 for b.
2
Suppose 15*v = 10*v + 20. Solve 0 = -v*k - 0 + 16 for k.
4
Let d be -2*(-2 + (-9)/(-6)). Let o = d + 2. Let p be (-1)/3 - 14/(-6). Solve -o*f = p*f - 25 for f.
5
Suppose -3*l = -j - j + 10, -2*l = 4*j - 36. Let p be 1 + -2 - (9 - 1). Let g be (-6)/p - j/(-6). Solve g = -f + 1 for f.
-1
Suppose -3*i = 2*i - 10. Let w be (-1)/(((-1)/1)/3). Solve -i = w*x - 5 for x.
1
Suppose s - 21 = 4*i, 3*i = -4*s - 6 + 52. Let k = 15 - s. Solve k*o + 8 = -2*o for o.
-2
Let z(p) = -p**2 + 9*p - 7. Let d be z(8). Solve 5*l = 9 + d for l.
2
Let x(d) = d - 1. Let g be x(1). Solve g = -2*m + 4 + 4 for m.
4
Suppose 0 = 7*u - 35 + 28. Solve -11 = 3*r + u for r.
-4
Let j = 33 - 28. Solve -1 = j*t + 19 for t.
-4
Suppose 5 - 5 = 3*k. Solve k = -5*d - 10 - 10 for d.
-4
Suppose 3 = v, 2*o - 11 = 8*v - 5*v. Solve 0 = -o*l + 15*l for l.
0
Suppose -19 = -3*y + 4*i, 0 = -3*y - 3*i - i + 11. Suppose 0*j - p - 14 = -2*j, y*j - 35 = 4*p. Solve 10 = 2*r - j*r for r.
-2
Let v(n) = -2*n**3 - 3*n**2 - 5*n - 2. Let x be v(-1). Solve -l + x*l = 0 for l.
0
Let u(v) = -v**2 - 4*v - 3. Let d(q) = q + 1. Let j be d(-3). Let b be u(j). Solve -5 + b = -x for x.
4
Let b = -11 - -15. Suppose 2 = p - b. Let u be ((-24)/(-9))/(4/p). Solve -u*v - 10 = 10 for v.
-5
Let h(n) = n**3 - n**2 - n + 3. Let d be h(0). Let g(q) = q**2 + 17*q - 18. Let z be g(-18). Solve z*r - d*r = 3 for r.
-1
Let d be ((-6)/2)/(-6)*20. Solve -s + d = -3*s for s.
-5
Suppose 0 = 5*u - u. Let k be (4/5)/(8/60). Solve u = -3*s - k - 0 for s.
-2
Suppose -5*r + 10 + 10 = 0. Let c = r + -3. Let g(v) = -v**2 + 5*v - 3. Let a be g(3). Solve a*u + c = -2 for u.
-1
Suppose -3*l + 16 = l. Suppose -l*q = -0*q - 80. Let z be 0/(-1) + (0 - -3). Solve -z*o = o + q for o.
-5
Let h(q) = 3*q**2 - q**3 - 2 + 9*q + 6*q**2 + 0 - 2*q**2. Let s be h(8). Solve 2*c + s = -c for c.
-2
Suppose -3 = -5*m + 3*u - 1, 0 = m - u. Solve -4*f + 5*f + m = 0 for f.
-1
Let k be (-55)/(-45) + (-4)/18. Let m be 1 + (k - -2)/(-3). Solve 4 = n - m for n.
4
Suppose -4*q - 156 = -6*q - 4*h, 2*h + 86 = q. Suppose -4*w + q = 14. Suppose 0*z + 3*z - 26 = 5*u, -3*u = -5*z + 22. Solve 7 - w = -z*y for y.
5
Let u(k) = 4*k + 19. Let h be u(-3). Solve -h*m - 10 = -2*m for m.
-2
Suppose -5*l = -3*l. Suppose -3*p = -3 - l. Let s be 1/((-1)/(-8 - p)). Solve -5*v - s = 11 for v.
-4
Suppose 2*j - 14 = -6. Solve -q - q = j for q.
-2
Suppose -2*h - 22 = -6*h - 3*t, 0 = -h - 4*t + 12. Solve p = 1 + h for p.
5
Let o be (-4 - (-9 - -5))*1. Solve o = 3*p - 5*p - 10 for p.
-5
Let j = -3 - -10. Let s(u) = -4*u**2 + 13*u + 1. Let b(t) = t**2 - t + 1. Let w(l) = 5*b(l) + s(l). Let z be w(-9). Solve -2*q + z = -j*q for q.
-3
Suppose 0*p + 9 = -p. Let u = p + 12. Solve 9 = -u*v - 3 for v.
-4
Let p = 4 + -2. Let c(v) = v**2 - 10*v - 4. Suppose 4*b = 6*b - 24. Let g be c(b). Solve -g = 3*s + p*s for s.
-4
Suppose 2*a - a = 6. Suppose -5*k - 5*h = -65, a = h + h. Solve g = -g + k for g.
5
Let a(t) be the first derivative of 10*t**3/3 - t**2/2 + 2. Let g be a(1). Suppose -g = -2*v - n, v = -n - 2*n + 12. Solve v*z = -z + 20 for z.
5
Suppose -2*v - 2*v + 4 = 2*f, 5*f + 3*v = 24. Solve r + f = 1 for r.
-5
Suppose 2*u = -0*u + 16. Let t(n) = n**2 - 8*n + 2. Let o be t(u). Solve -o*f + f = 0 for f.
0
Suppose -a = -2*a + 1. Suppose a = -j + 5. Solve 11 + 9 = -j*m for m.
-5
Suppose -t - 10 = -6*t. Let o(a) = -a + 1 - 2*a**2 + 1 - a + t*a**3. Let c be o(2). Solve -c*l = -l - 5 for l.
1
Let t be 1*-2 - (1 - 6). Suppose t*l + 10 = 8*l. Solve 0*i = l*i - 2 for i.
1
Let y be (-42)/(-24) - 2/(-8). Let a(u) = u**3 - u**2 + u - 2. Let n be a(y). Suppose 2*d + 8 = n*d. Solve h + 1 = d for h.
3
Let r be 6*-1 + 3 - 14/(-2). Solve r = 4*g - 0 for g.
1
Let v(n) = -2*n**2 + 12*n + 17. Let g be v(7). Solve g*f + 0*f = -6 for f.
-2
Let n(c) = -7*c. Let o(p) = -8*p - 1. Let q(r) = 7*n(r) - 6*o(r). Let t be q(6). Solve -b - b = t for b.
0
Let u be (-40)/(-16)*(-10)/(-1). Solve -2*l - 3*l = u for l.
-5
Let j(n) = n**2 + 6*n - 24. Let p be j(-9). Solve u + 8 = p*u for u.
4
Let x = -18 + 30. Let n be 9/x*1*4. Solve 4*f + 1 = -n for f.
-1
Suppose -2*w + v = -28, -6*v = 5*w - 2*v - 44. Let n be ((-3)/2)/((-9)/w). Suppose -n*g - 2*g = -8. Solve 3*l - g = 1 for l.
1
Let r be 6*((-3 - -5) + -1). Solve -6*a + 8*a + r = 0 for a.
-3
Let v be (-6)/8 + 51/68. Solve v = -0*o + o + 2 for o.
-2
Suppose -3*l = x - 5*l - 7, 5*l + 19 = 3*x. Solve 2*f + x*f = 20 for f.
4
Let b(r) = -r - 4. Let u be b(-8). Solve -o = -u*o for o.
0
Suppose y - 4 = -4*w + 3*w, -16 = -4*y + 2*w. Solve -3*v = -7*v + y for v.
1
Let x be 1*(-38)/8*-4. Suppose -2*t + x = 3. Suppose 0 = -0*r + 4*r - t. Solve -r*k - 15 = k for k.
-5
Suppose -2*k = -p - 5, -p - 1 = -k - 0*k. Suppose 5*z = -p*j + 3, -5*z + 1 = 4*j - 3. Solve 0*t - 5*t = z for t.
0
Let t = 84 + -64. Let k = 10 + -6. Solve t = -0*g + k*g for g.
5
Let d be 4/(-18) - (-14)/63. Solve d = -4*u + 3*u for u.
0
Suppose -36 + 11 = -5*b. Solve -o + 8 = -b*o for o.
-2
Let d = 48 + -46. Solve d = -p - 0 for p.
-2
Suppose -12*h + 24 = -11*h. Solve 4 - h = 5*z for z.
-4
Suppose 6*l = l + 20. Solve -4*u = -3*u + l for u.
-4
Suppose 3*i = 35 + 1. Suppose 3*n - i - 3 = 0. Solve -n*z - 1 + 16 = 0 for z.
3
Let p be (3 - -3)/(6/20). Suppose -3*y - y = -80. Suppose -4*x = -4*c + y, -c - 2*c + 5*x = -21. Solve c*l - p = -3*l for l.
4
Suppose 0 = 5*f + 34 + 6. Let l(s) = -s**2 - 7*s + 8. Let n be l(f). Let h(q) = q + 10. Let j be h(-5). Solve n = 2*m - j*m - 9 for m.
-3
Suppose 3*b - 10 = 8*b - 4*k, -b - 2*k = -12. Let y(l) = -l**2 + l + 20. Let i be y(0). Suppose 0 = -0*q - 2*q + i. Solve 0 = -0*o - b*o - q for o.
-5
Let d be (-23)/2 - 3/2. Let s = d + 15. Solve 0 = s*o - 0*o - 2 for o.
1
Suppose -p + o + 5 = 0, p = -4*
|
{
"pile_set_name": "DM Mathematics"
}
|
ate the remainder when -6 + 472/6*y/20 is divided by 14.
11
Suppose -59*c = -230*c + 17100. Calculate the remainder when 289 is divided by c.
89
Let t(d) = 5*d**2 - 2*d - 6. Let g be t(-2). Suppose 0*p = p + 2*w - 17, 0 = -4*p - w + 68. What is the remainder when 1492/18 + 2/g is divided by p?
15
Let u = 346 - 356. What is the remainder when (-4)/(-10) + (-686)/u is divided by 11?
3
Suppose -18*r + 25*r = 0. Suppose r = -5*t - 5*g + 250, -10*t + g = -5*t - 256. Calculate the remainder when 90 is divided by t.
39
Let j = 1859 - 1836. Calculate the remainder when 10462 is divided by j.
20
Let p(n) = 13*n + 58. Let z(a) = 3*a**2 + 5*a + 1. Let q be z(-2). Let h = q + 10. Calculate the remainder when h is divided by p(-4).
1
Let m(q) = q**3 - 11*q**2 - 11*q + 25. Calculate the remainder when 255 is divided by m(12).
33
Suppose -2*i = -3*h + 3572, -4*h + 6218 = -i + 1457. Suppose -s - 234 = 2*q - 834, -4*q + h = -3*s. Calculate the remainder when q is divided by 77.
68
Suppose -6*p - 70 = -11*p. Let h(v) = -2*v**2 + 185*v - 1390. What is the remainder when h(84) is divided by p?
10
Suppose -6*c = -11*c + 410. Let b = 470 - 466. What is the remainder when c is divided by ((-1264)/(-40) - 3) + b/10?
24
Suppose -19*b + 6323 = 16*b - 4877. What is the remainder when b is divided by 139?
42
Suppose -2*u + 19 - 1 = 0. Let o(g) = 8*g + 7. Let k be o(u). Suppose 6*q - k = 23. What is the remainder when 66 is divided by q?
15
Suppose 0 = 13*a - 16680 - 12657 - 1499. What is the remainder when a is divided by 72?
68
Let x = 10934 + -10908. What is the remainder when 1702 is divided by x?
12
Let l(s) = -10*s + 3. Let r be l(0). Suppose 0 = -x - r, -j = -2*x + 4*x - 129. Calculate the remainder when j is divided by 17.
16
Let w(x) = -10*x - 6. What is the remainder when 7/(-35) - (1261/(-5) + -1) is divided by w(-7)?
61
Suppose 249*v = 259*v - 1140. Calculate the remainder when 12539 is divided by v.
113
Let g(o) = -o + 12. Let v(m) = -m**3 - 5*m**2 + 5*m + 1. Let r be v(-6). Let n = 58 - 44. What is the remainder when n is divided by g(r)?
4
Let p = 39 + -57. What is the remainder when (p/(-10))/(3235/(-650) - -5) is divided by (-165)/(-12) - 4/(-16)?
8
Let n(i) = i**3 - 5*i**2 + 35*i + 24. What is the remainder when n(7) is divided by 34?
27
Let i(f) = -f + 2. Let q be i(6). What is the remainder when (-589)/(-4) - (-1)/q is divided by (-3663)/(-66)*1/(-3)*-2?
36
Suppose -43 - 320 - 413 = -2*j. What is the remainder when j is divided by 78?
76
Calculate the remainder when ((-23452)/(-2002))/(1 - 6/7) is divided by 3*(-3)/(-3) + 21.
10
Let l(z) = -z**3 + 19*z**2 - 47*z + 36. What is the remainder when 81 is divided by l(16)?
29
Let m = -5322 + 6038. What is the remainder when m is divided by 180?
176
Let k = -5208 - -5275. What is the remainder when 122 is divided by k?
55
Suppose 2 - 12 = -5*g + 5*w, -w = 3*g - 22. What is the remainder when 23 is divided by 26/(((-4)/g)/(2/(-6)))?
10
Let r(j) = -3*j + 2. Let p be r(-3). Let f be 1*4 - (-23 + 17). Let z = p - f. Calculate the remainder when 6 is divided by z.
0
Let j(m) = -4*m**2 - 273*m + 576. Calculate the remainder when j(-64) is divided by 49.
47
Let v(w) = -3*w**2 - 211*w - 532. What is the remainder when v(-14) is divided by 108?
106
Let b = -52 + 109. Suppose 7*g - b = 27. Suppose -u = -5*r + 226, 172 = 4*r - 5*u + 2*u. What is the remainder when r is divided by g?
10
Calculate the remainder when 267/(-2136) - 34786/(-16) is divided by 24.
14
Suppose -3*z + 0 = 48. Let y = 13824 + -13784. Calculate the remainder when y is divided by (-95)/(-4) - (-12)/z.
17
Suppose -5*f + 15 = 0, 5*b = -30*f + 35*f + 1800. Let q = b + -163. Calculate the remainder when q is divided by 35.
25
Suppose 859*y = 662*y + 26792. What is the remainder when 1473 is divided by y?
113
Let q(t) = -t**3 - 3*t**2 + 2*t - 15. Suppose -2 = -i - 10. Calculate the remainder when q(i) is divided by 49.
44
Let m(w) = -w - 6. Let f(t) = -5*t - 19. Let y(z) = -2*f(z) + 7*m(z). Calculate the remainder when 15 is divided by y(3).
0
Suppose -96 = -17*o - 11. Suppose w + 4*u - 66 = -22, o*u = -3*w + 132. Calculate the remainder when 1009 is divided by w.
41
Suppose 0 = -6*b + 4*b - 4*v + 406, 4*v - 1033 = -5*b. Suppose 54*d - 528 = 1956. What is the remainder when b is divided by d?
25
Let w(b) = b**3 + 90*b**2 + 247. Calculate the remainder when w(-90) is divided by 63.
58
Calculate the remainder when (-4)/58 - 117650/(-377) is divided by 42.
18
Let j(c) = -c**2 - 36*c + 71. What is the remainder when 1148 is divided by j(-14)?
11
Suppose 2*x + 3*n = 1912, 2*x - 2321 + 439 = 2*n. What is the remainder when x is divided by 161?
142
Let w(p) = 19*p**2 - 11*p + 27. Calculate the remainder when 421 is divided by w(2).
16
Let x be (3 - (-1)/1) + -3. Let o be 3*(-5 + 2) + x. What is the remainder when ((-188)/7)/(o/28) is divided by 24?
22
Let q be -1*(-1 + -1 + 0)/(-2). Calculate the remainder when 55 is divided by (1 - q)*-1 - (-11 - 20).
26
Let f(t) = -2*t**2 - 312*t + 67. Calculate the remainder when f(-148) is divided by 20.
15
Suppose -z - 2 = -3. Let x be z*((-4)/12)/((-2)/12). Suppose x*p - 107 = -19. Calculate the remainder when p is divided by 15.
14
Let a be 28/3*7/((-245)/(-30)). Let m be -7 - -8 - a/(-2). Suppose -m*o + 195 + 145 = 0. Calculate the remainder when o is divided by 24.
20
Suppose -45*y = 5*y - 600. What is the remainder when 176 is divided by y?
8
Let t(n) = -n**3 + 2*n**2 - n - 1. Let k be t(2). Let i = 24 - k. Let q = 710 - 659. Calculate the remainder when q is divided by i.
24
Suppose -2*j + n + 2*n + 19 = 0, -4*j - 2*n = -30. What is the remainder when (-5 - 730/(-40))/(2/j) is divided by 15?
8
Let c(d) = -106*d + 3. Let t(z) = 105*z - 2. Let s(j) = 3*c(j) + 4*t(j). Let a(m) = m + 4. Let b be a(-3). Calculate the remainder when s(b) is divided by 21.
19
What is the remainder when (-5)/(-15) - (5 - (0 - 18355/(-15))) is divided by 87?
1
Let j = -86 - -178. Let q = j + -80. What is the remainder when 24 is divided by q?
0
Let u(s) = 8*s**2 - s - 4. Let h be u(2). Suppose v - 4*f - 9 + h = 0, 3*v - 1 = -f. What is the remainder when ((-4)/12 + v)*-27 is divided by 21?
15
Suppose -983*m + 285 = -968*m. Let p = 11 + 41. Calculate the remainder when p is divided by m.
14
Let k(r) = -2*r - 2*r + 2*r**2 + 0 + 0 + 3. Suppose -j - 12 = -2*q - 4*j, -5*j + 25 = 5*q. What is the remainder when 25 is divided by k(q)?
7
Let z = 54 - 50. Suppose 75 = -z*c + 1131. Suppose -7*v = -9*v + c. What is the remainder when v is divided by 45?
42
Calculate the remainder when (-2)/(0 + 2 + (-4380)/(-4388) + -3) is divided by 46.
39
Suppose -194*r = -192*r - 56. Suppose -9*m + 12*m = -2*g + 750, -3*m + 750 = -5*g. What is the remainder when m is divided by r?
26
Let k(v) = -10*v + 16 - 30 - 17 - 37. Calculate the remainder when 41 is divided by k(-10).
9
Suppose -67*v + 4069 = -528 - 1232. What is the remainder when 1337 is divided by v?
32
Let d = 15480 - 15475. Calculate the remainder when 8063 is divided by d.
3
Let x(i) = -6*i**3 - 16*i**2 + 27*i + 83. Let d(b) = -b**3 - b**2 + b - 2. Let u(h) = 5*d(h) - x(h). Calculate the remainder when 458 is divided by u(-12).
26
Calculate the remainder when -1 - 0/(-2) - 3753/(-9) is divided by 74.
46
Let m(j) = 5 + 16*j + 3 - 5. Suppose -14*o + 390 = 12. What is the remainder when m(3) is divided by o?
24
Let c(o) = -191*o - 1254. Calculate the remainder when c(-9) is divided by 53.
41
Let p(l) = -224*l + 1207. Let z = 38 + -23. Calculate the remainder when p(5) is divided by z.
12
Let c = 63 + -33. Let b be (-40)/c - 1/(-3). What is the remainder when 121 is divided by (1*-25)/(2*b/2)?
21
What is the remainder when 224 is divided by (-840)/(-105)*((-29)/5)/(2/(-5))?
108
Let h be (5 + -2)/((-2)/(-2)). Suppose -3*j + 0*j - h*p + 108 = 0, 5*p + 36 = j. Calculate the remainder when (-2 - 9)*-13 + (83 - 85) is divided by j.
33
Let s = -1302 + 1511. What is the remainder when s is divided by 23?
2
Suppose -28 = -4*r - 0*r. Let y be 3 + (-756)/49 - 6/(-14). Calculate the remainder when (-18)/(y/(-4)) + 75 is divided by r.
6
Let y = -23 + 42. Suppose -10*n - j - 49 = -13*n, 17 = n - j. Calculate the remainder when y is divided by n.
3
Suppose 3*p + 33*h = 36*h + 1020, -2*h - 1370 = -4*p. Calculate the r
|
{
"pile_set_name": "DM Mathematics"
}
|
base 13, what is 4 - -9a?
a1
In base 14, what is 120 - 1?
11d
In base 2, what is 1011111 + 11101?
1111100
In base 13, what is -c07 - 4?
-c0b
In base 11, what is 0 + -1547?
-1547
In base 7, what is -16115 + -1?
-16116
In base 10, what is 3 - 629?
-626
In base 8, what is 2 + -110?
-106
In base 9, what is -5 - -124?
118
In base 9, what is 175 + 27?
213
In base 8, what is 66 - 12?
54
In base 13, what is 49 + -12?
37
In base 16, what is 0 + 7a9?
7a9
In base 6, what is 335114 + 2?
335120
In base 4, what is 11 - 212?
-201
In base 8, what is 15 + 55?
72
In base 3, what is -1 - 20?
-21
In base 4, what is -10 + 1310?
1300
In base 9, what is 7 - 64?
-56
In base 12, what is -12 - -2?
-10
In base 6, what is -2 + 32?
30
In base 5, what is 3 - 240?
-232
In base 13, what is 0 + 64a?
64a
In base 8, what is 13 + 106?
121
In base 14, what is -37 + 3?
-34
In base 3, what is -12022000 + -2?
-12022002
In base 2, what is 10 - 101101?
-101011
In base 13, what is -4 + -27b8?
-27bc
In base 3, what is 12 - 1001?
-212
In base 6, what is -303 + 41?
-222
In base 11, what is -380 - 0?
-380
In base 6, what is 2001 - 1?
2000
In base 3, what is -1 + -102?
-110
In base 4, what is -2 - -1122?
1120
In base 10, what is 73 - -4?
77
In base 16, what is 22c - 0?
22c
In base 2, what is 10000 + 10001011?
10011011
In base 6, what is -3 + 33102?
33055
In base 11, what is 2a - -3?
32
In base 11, what is -4 - -200?
1a7
In base 2, what is -100 - -1000110111011?
1000110110111
In base 5, what is -2 + 3332?
3330
In base 7, what is -55 + 116?
31
In base 16, what is 24e - -6?
254
In base 13, what is 11 - c0?
-ac
In base 10, what is 8 + 114?
122
In base 10, what is 2911 + 2?
2913
In base 16, what is -4 - 3b?
-3f
In base 14, what is 90 + -4?
8a
In base 8, what is 3455 - -1?
3456
In base 16, what is 1f - 10?
f
In base 3, what is 112201 - 11?
112120
In base 4, what is 210 - 3?
201
In base 7, what is -4 + 32?
25
In base 11, what is 11 + 374?
385
In base 15, what is -3 + -26?
-29
In base 4, what is 10 - -31?
101
In base 4, what is 111 + -11111?
-11000
In base 6, what is -3 - 133?
-140
In base 11, what is 5 - -15?
1a
In base 14, what is 0 + -15?
-15
In base 8, what is -66 + -3?
-71
In base 2, what is 1001000011 + -111?
1000111100
In base 3, what is -102 + -2?
-111
In base 3, what is 1 - 200001?
-200000
In base 9, what is -1123 + 0?
-1123
In base 7, what is -3624 + -5?
-3632
In base 7, what is -115 + 4?
-111
In base 3, what is 101000 + -100?
100200
In base 10, what is 4 - 765?
-761
In base 3, what is 1 - -21020?
21021
In base 8, what is 5 - -773?
1000
In base 16, what is c79 - 4?
c75
In base 5, what is 10 - 4111?
-4101
In base 7, what is 23203 - 4?
23166
In base 3, what is 0 + -22120?
-22120
In base 9, what is -161 + -1?
-162
In base 3, what is -10200 + 2?
-10121
In base 5, what is 2 + -1413?
-1411
In base 8, what is 3 - 65?
-62
In base 6, what is 402 - 13?
345
In base 3, what is -1 - -102121112?
102121111
In base 5, what is 3 - -321?
324
In base 15, what is 0 + 2a?
2a
In base 4, what is -13 + -213?
-232
In base 15, what is -141 + -1?
-142
In base 4, what is -30 + -22130?
-22220
In base 11, what is -75 - -1?
-74
In base 6, what is 1010 - -3?
1013
In base 9, what is -18 - -256?
237
In base 3, what is 11101 + 1112?
12220
In base 9, what is 2 + 3736?
3738
In base 10, what is -3 - 288?
-291
In base 2, what is -10101011 + 1000?
-10100011
In base 5, what is -113330 + -4?
-113334
In base 2, what is -100 + 10100110?
10100010
In base 12, what is 1b + 165?
184
In base 12, what is -1 - -124a?
1249
In base 16, what is -7 - 1?
-8
In base 3, what is 112 - 1012?
-200
In base 5, what is 20 - -12?
32
In base 3, what is 1011011 + -11?
1011000
In base 5, what is 42 - 22?
20
In base 16, what is -7 - -a?
3
In base 2, what is -100 + -1110101?
-1111001
In base 15, what is 4 - -3b?
40
In base 5, what is 1 + -1410?
-1404
In base 4, what is 130 + 30?
220
In base 14, what is -31 - -17c?
14b
In base 9, what is 3 + 644?
647
In base 11, what is -4 + -2219?
-2222
In base 15, what is 11 + -4?
c
In base 11, what is -9 + -1?
-a
In base 7, what is -2421 + -13?
-2434
In base 10, what is 1 - -89?
90
In base 6, what is 124 + 0?
124
In base 15, what is 1 - bc?
-bb
In base 5, what is -1 + 220?
214
In base 9, what is 21 + 320?
341
In base 13, what is b08 + 4?
b0c
In base 3, what is 10100202 - 12?
10100120
In base 11, what is -1 + -34?
-35
In base 7, what is -235 + 0?
-235
In base 2, what is 110 - 11?
11
In base 10, what is 1015 + -2?
1013
In base 15, what is -3 - -465?
462
In base 15, what is -2 - -c?
a
In base 6, what is -1 - -15545?
15544
In base 15, what is 14c + 5?
152
In base 13, what is 4 + -15?
-11
In base 15, what is -a + 30?
25
In base 13, what is -5 - -1990?
1988
In base 11, what is 5 + 427?
431
In base 4, what is 20102 - -33?
20201
In base 2, what is -1111110101101 - -1?
-1111110101100
In base 2, what is -11 + 1011000?
1010101
In base 8, what is -2 - -254?
252
In base 6, what is -41 + 5?
-32
In base 14, what is -913 - -5?
-90c
In base 4, what is -3 + 11300?
11231
In base 10, what is -2513 + -4?
-2517
In base 11, what is 0 - 6?
-6
In base 12, what is -6a - 5?
-73
In base 10, what is -28 + 269?
241
In base 9, what is -54 - -84?
30
In base 2, what is 1 - 11010101?
-11010100
In base 15, what is 10 - -4?
14
In base 8, what is 1 - 503?
-502
In base 13, what is -95 + -5b?
-123
In base 5, what is -2 - -20303?
20301
In base 8, what is 7 + 20?
27
In base 7, what is -2 - 1246?
-1251
In base 16, what is a2a - -3?
a2d
In base 5, what is 4334 + 12?
4401
In base 16, what is -93 + -d?
-a0
In base 6, what is 2 - -12?
14
In base 7, what is -261 + -6?
-300
In base 2, what is -11 + 101110010110?
101110010011
In base 10, what is 82 + 18?
100
In base 13, what is 362 + 1?
363
In base 15, what is 4 - 55?
-51
In base 3, what is 220012 + -2?
220010
In base 8, what is 2776 + 0?
2776
In base 15, what is -ca - 0?
-ca
In base 15, what is 5 - 3e2?
-3dc
In base 8, what is 6517 + 1?
6520
In base 8, what is -7 + -263?
-272
In base 16, what is 19f + -17?
188
In base 3, what is 2220122 - 1?
2220121
In base 3, what is 1 + -2201211?
-2201210
In base 8, what is 60 + 0?
60
In base 8, what is 3273 + 1?
3274
In base 15, what is 1 - -107?
108
In base 5, what is -4122 + 3?
-4114
In base 9, what is 77 - -86?
174
In base 12, what is -3b + -7?
-46
In base 3, what is -10 - 1122?
-1202
In base 16, what is 1 + -a2?
-a1
In base 9, what is -6721 - 0?
-6721
In base 14, what is -5 + 4?
-1
In base 14, what is b + 286?
293
In base 15, what is 81 + -5?
7b
In base 2, what is -10101000011 - 101?
-10101001000
In base 5, what is -103 + -231?
-334
In base 9, what is -4 + 56?
52
In base 15, what is -3 + -59?
-5c
In base 7, what is 164 - -10?
204
In base 16, what is -8 - f?
-17
In base 6, what is -23 + -240?
-303
In base 7, what is 1 + -143?
-142
In base 5, what is 431 - 1023?
-42
In base 5, what is 0 - 20?
-20
In base 12, what is -2390b - 2?
-23911
In base 11, what is 4 - 409?
-405
In base 15, what is 0 - 28d?
-28d
In base 11, what is -3 - -109?
106
In base 2, what is 100001 + 101?
100110
In base 2, what is -10 - 100100111110?
-100101000000
In base 5, what is 3 + -213?
-210
In base 4, what is -30 + -103?
-133
In base 15, what is -19b + 0?
-19b
In base 5, what is 243 + -342?
-44
In base 16, what is fe1 - -4?
fe5
In base 13, what is -2c - 4?
-33
In base 2, what is 100011001011 + 0?
100011001011
In base 9, what is 13 - 0?
13
In base 2, what is -10 + -110111?
-111001
In base 14, what is -1 - 2?
-3
In base 5, what is 14 - 213?
-144
In base 12, what is 0 - 711?
-711
In base 5, what is -3021 + 210?
-2311
In base 9, what is -36 + 33?
-3
In base 7, what is -1316 + -14?
-1333
In base 3, what is -1112120 + -21?
-1112211
In base 6, what is -1341 - -5?
-1332
In base 5, what is -101324 - -2?
-101322
In base 15, what is -6e - 27?
-96
In base 13, what is 4 - -22?
26
In base 10, what is -5 + -5678?
-5683
In base 5, what is -221 - -2112?
1341
In base 10, what is -102 + 2?
-100
In base 10, what is -438 - 1?
-439
In base 2, what is -110100110 - -10?
-110100100
In base 7, what is 113 + 2?
115
In base 4, what is -11 - 230?
-301
In base 11, what is -3 - -4?
1
In base 6, what is -1253 + 24?
-1225
In base 7, what is -305 - -1?
-304
In base 8, what is -4 - -530?
524
In base 15, what is 145 + -5?
140
In base 6, what
|
{
"pile_set_name": "DM Mathematics"
}
|
e (0 - 8 - 1)*(2 - 1). Let z(o) = o**3 + 9*o**2 + 2*o + 21. Let q be z(n). What is the third smallest value in 1/7, -2/7, -1, q?
1/7
Let i be 4/(-14) + 37/7. Suppose -809*s + 800*s + 18 = 0. What is the smallest value in s, -2, i, 0.4?
-2
Let u = 24 + -21. Let d = 142 - 138. What is the fourth smallest value in 0.5, d, -4, u?
d
Let o = 2678 - 2677. Let y = 8 - 13. Suppose -2*b - 5*l + 35 = 0, 4*l = b - l + 20. What is the second biggest value in b, y, o?
o
Let i be 44/30 + 2/10. Let a = -27 - -137/5. What is the third biggest value in i, -0.3, a?
-0.3
Let u be ((-112)/12)/(2/6). Let r be u/8*12/(-21). Let o be 3/r*3/9. What is the second biggest value in o, 0.4, -3?
0.4
Let j = -23 - 12. Let r = j + 42. Let q = -1 - -0.6. Which is the biggest value? (a) 0.2 (b) q (c) r
c
Let m = -4 - -5. What is the third biggest value in -1/2, m, -53?
-53
Let o = 4/95 - -154/855. Which is the smallest value? (a) -48 (b) o (c) 4
a
Let a = -1.962 - -2.162. What is the third smallest value in 2/45, -1/3, a?
a
Let v = 438/5 - 88. Which is the second smallest value? (a) v (b) -1/3 (c) 5 (d) -1
a
Let x = -0.5636 + 0.6636. Let l = -68/225 - -2/25. What is the second smallest value in x, l, 2/11?
x
Let u = 0.4 + -0.2. Let l = -5509771/40335 - -2/8067. Let a = l - -137. What is the third biggest value in -4, u, a?
-4
Let p = -31.1 - -33. Which is the second smallest value? (a) 0 (b) p (c) 3 (d) -4
a
Suppose 0 = -g + 2. Suppose 0 = g*q - 5*q. Let p(k) = k + 2. Let m be p(2). What is the biggest value in q, 6, m?
6
Let m = -23 + 25.9. Let y = m + -3.9. Which is the second smallest value? (a) y (b) 0.2 (c) 2/13
c
Suppose -6*l + 6 = -4*l. Let a be l + (100/(-26) - -1). Let q = -3.4 + 3.8. What is the biggest value in q, -4, a?
q
Let l = -0.1 + -4.9. Let y = -1.66 + 1.86. Which is the fourth smallest value? (a) -2/3 (b) y (c) l (d) 3
d
Let u be (-1)/(-3)*(-198)/(-14) - 5. What is the biggest value in u, -0.2, 2/9, 7?
7
Suppose -4 = 3*j + 4*a + 4, 0 = 4*j - a - 2. Suppose j + 8 = 2*r. Let s(k) = k**2 + 6*k - 2. Let c be s(-6). What is the third smallest value in r, 2/5, c?
r
Let u(g) = g**3 - 5*g + 16. Let a be u(-3). What is the biggest value in 3/50, a, 5?
5
Let g = 39 + -39. Let y = g + 0.8. Which is the fourth smallest value? (a) 1 (b) -3/4 (c) -0.5 (d) y
a
Let n = 0.05 - 0. Let x = -2203 - -2204. Which is the second biggest value? (a) n (b) 4 (c) x
c
Let h be (-1 - (-40)/30)*2/(-19). Which is the second smallest value? (a) h (b) -0.4 (c) 4
a
Let u(k) = 17*k**3 + 2*k**2 - 2*k + 1. Let z be u(1). Let w = -15 + z. Which is the smallest value? (a) 9 (b) w (c) 4
b
Let h = 34 - 31. Which is the smallest value? (a) h (b) -80 (c) -0.3
b
Let x be 2 - 5 - (-10 - -3). Let k(t) = -t**3 + 3*t**2 + 8*t - 10. Let q be k(x). What is the fourth smallest value in 3, -3, 2/9, q?
q
Let k = 751 + -750.5. Which is the fourth biggest value? (a) 0.3 (b) k (c) 0.07 (d) 1
c
Suppose g = -2*m + 2*g - 27, 2*m + 2*g = -36. Let j = -9 - m. Let h be -6 - 1/((-3)/j). Which is the smallest value? (a) h (b) 1/5 (c) -1
a
Suppose 3*z = z + 2. Let p = 2 + z. Let i = 23/125 + 2/125. Which is the smallest value? (a) p (b) -1 (c) i
b
Let n be -3 + (-2 - (-106)/22). Let l(i) = 2*i - 32. Let t be l(15). Which is the third smallest value? (a) -1 (b) n (c) t (d) 2/19
b
Let y = 619/3 + -196. What is the second smallest value in y, -0.3, 0.1, -1/5?
-1/5
Let s = 469/540 - 16/135. Let t = -2 + 2.2. Let r be -2 + -6 + 1 + 2. Which is the second biggest value? (a) t (b) r (c) s
a
Let h = 4.312 + -4.412. Let a = -1 + 2. What is the second smallest value in -0.03, a, 5, h?
-0.03
Suppose -7*x + 12 - 26 = 0. Let l = -18 - -20. Which is the fourth smallest value? (a) x (b) -2/5 (c) -4 (d) l
d
Let z = 140 + -135. What is the second smallest value in -3, 2/5, z?
2/5
Suppose -3*q - b - 3 = -6*b, 2*b = -3*q + 18. Suppose p = 3*p - q. Suppose p*d = -1 - 1, -22 = -5*f - 3*d. What is the smallest value in 3/7, f, -0.3?
-0.3
Let t = 21 - 74. Let a = t - -53.2. What is the third biggest value in 0.3, 10, a?
a
Let z = 2 + 0. Let n be (-21)/12 - -3 - 1. Which is the second biggest value? (a) n (b) -5 (c) z
a
Let f = -2 + 3. Let y = 19 + -18.99. Let u = -11 + 16. What is the second biggest value in u, f, y?
f
Let f be ((-24)/38 - -1) + -1. Let i = -41/95 - f. Let z = -1655 - -1657. Which is the second biggest value? (a) z (b) i (c) -0.1
b
Let i = 137 + -133. Which is the fourth smallest value? (a) -0.2 (b) 0.4 (c) -5 (d) i
d
Let u = -464 - -467. What is the fourth biggest value in 2/19, 2, 5, u?
2/19
Suppose -q - 4 = -0. Let d be q + 3 - (-2 - 2). Let v = -3.1 - -3. What is the third smallest value in v, d, 2?
d
Let l = -889 + 875. Let r = 1.7 - 1.4. Which is the biggest value? (a) l (b) 4 (c) 5 (d) r
c
Let k = 8 - -18. Let n = 26.2 - k. Let l = n - -0.1. Which is the third biggest value? (a) -0.5 (b) l (c) 3/7
a
Let r = 10 + -17. Let k = 6.7 + r. Let f = 0.05 + -0.05. What is the biggest value in k, f, -5?
f
Let y = 166.2 - 166. Which is the smallest value? (a) -9 (b) 0.3 (c) y
a
Let b = 1 - -8. Let y = 3 - b. Let t = 1 - 0.9. What is the third smallest value in y, -1/4, t?
t
Suppose -7*s + 10 = -5*s. Let k be -2*(-2)/(-90)*s/1. What is the third smallest value in 7, k, 0.3?
7
Let o = -16.9472 + -0.0528. Which is the smallest value? (a) -4 (b) o (c) 0 (d) -0.1
b
Let r = 41 + -40.5. Let q = 608/5 + -122. What is the third smallest value in q, r, 0.01, -0.3?
0.01
Let v = -20 - -15. Let h be (-8)/68 + (-1484)/680. Let u = h - -9/5. Which is the biggest value? (a) 1 (b) v (c) u
a
Let p = -14 - 26. Let j = p + 33.8. Let y = -1.2 - j. Which is the second smallest value? (a) y (b) 3 (c) 1/4
b
Let k = -23.6 - -18.6. Let a = -4.4 + 4. Let u = 1343/14 - 193/2. What is the second biggest value in a, u, k?
u
Let z = 80 - 80.136. Let p = -0.836 - z. Which is the second smallest value? (a) -1 (b) p (c) -5 (d) -0.5
a
Let n be (-6 + 1)/10*-1. Which is the third smallest value? (a) -4 (b) n (c) 7/6 (d) -2
b
Let r(g) = -6*g**2 - 16*g - 3. Let m be r(-2). Which is the third biggest value? (a) -5 (b) m (c) -1 (d) 3/4
c
Let p be (-14)/(-25)*1890/112. Let v = -41/4 + p. What is the second smallest value in v, 2, 15?
2
Let y = 2257/11 - 205. Which is the second smallest value? (a) y (b) -4 (c) 1 (d) 21
a
Let y be 5 - (-1 + 0 + 3). Suppose -81*g + 87*g = 6. What is the second biggest value in 2, g, y?
2
Let j = 307 + -309. What is the third smallest value in 4/5, -3, -5, j?
j
Let z be 5/2 - 7/14. Let h = -2.2 + 1.1. Let s = h + 0.6. What is the smallest value in z, -5, s?
-5
Suppose -u = 4*s - 5*u + 20, 0 = -3*u + 15. Let z = -0.3 - 0.2. Which is the second smallest value? (a) s (b) z (c) 4 (d) 1
a
Let f = -6 - -2. Let y = 47 - 46.94. Let j = 57/11 + -318/55. What is the biggest value in y, j, f?
y
Let i be (12/(-54))/(0 + (-5)/18). Which is the fourth smallest value? (a) -0.3 (b) -33 (c) 3/5 (d) i
d
Let w = 8.9 - -0.1. Let g = -7 + w. Let f be 6/(-15) + (-8)/30. Which is the smallest value? (a) -1 (b) g (c) f
a
Let s = -72 + 42. Let f = 27 + s. Which is the second biggest value? (a) f (b) -2 (c) -1
b
Let d = 264 - 181. Let w = d - 413/5. What is the biggest value in -1, 0, w?
w
Let a(c) = 13*c**2 + 2*c - 1. Let y be a(1). Suppose -3*w + 0*r + y = -r, 0 = -4*w + 5*r + 37. Let p = -5 - -7. What is the second smallest value in -1/3, w, p?
p
Suppose 17*f - 8*f - 9 = 0. Which is the fourth smallest value? (a) f (b) 0 (c) 2/9 (d) -5
a
Let x = -3.27 + 3.39. Which is the third biggest value? (a) x (b) -3 (c) -0.1
b
Let u = 76.3 - 80. Let j = 0.3 - u. What is the second smallest value in -2, -7, j?
-2
Let d = 4242.1 + -4565. Let v = d + 340. Let t = 17 - v. Which is the second biggest value? (a) t (b) 2 (c) -4/9
a
Let y = 38 + -32. Let f be y/8 - (6 + 51/(-12)). Let v be ((-4)/10)/(9/(-5)). Which is the second smallest value? (a) v (b) 6 (c) f
a
Let i = 783 + -784. What is the second smallest value in -0.13, -0.2, i?
-0.2
Let q = 0.13 + -10.13. Let w = -9 - q. Which is the second biggest value? (a) 2 (b) w (c) -2
b
Let b(n) = -4*n. Let k be b(-1). Let y(s) = s**2 - 4*s - 4. Let f be y(k). Let i be (5 - 341/66)*2. What is the thir
|
{
"pile_set_name": "DM Mathematics"
}
|
-8.5 + -0.5. Let o = x - -8.6. What is the third smallest value in o, -0.6, -4?
o
Let n be -2 - (12 + -6)*52/(-162). What is the second biggest value in 0.5, n, -4?
n
Let x be (-1)/(-5) + (-5)/15. Let b be 8/(-5) + 2/1. What is the third smallest value in x, b, 4?
4
Let p = -0.8 + -4.2. Let k be 0*2/4*1. Suppose k = j + 1 + 1. Which is the second biggest value? (a) p (b) j (c) -4
c
Let t = 8 + -4. Let p = -139 + 138.6. What is the smallest value in -3/7, t, p?
-3/7
Let n = 17393/1054 + -1/527. Let y = 133/8 - n. Let j be (-3)/(-15)*-3*15/(-21). What is the biggest value in j, -0.4, y?
j
Let x = 14.86 - -0.14. Let h = x - 14.9. What is the second smallest value in 1/8, 0, h?
h
Let g be 2*(-2)/((-12)/249). Let y be g/9 - 2/9. Let q be 0 + (-1 - y/(-7)). Which is the third biggest value? (a) 4 (b) 0 (c) q
b
Let g = -2.6 + 3. Let r = -15 - -16. Which is the biggest value? (a) r (b) g (c) 0.3
a
Let s = -13.6 + 14. What is the biggest value in 4, s, 2?
4
Let x = 94.2 - 94. Let y = 5.3 + -5. What is the second smallest value in -4, y, x?
x
Let h = 17 - 17.7. Let d = 0.8 + h. What is the smallest value in 4, 2/11, d?
d
Let t = 1 - -4. Let c = 5 - t. Let q = c + -0.5. What is the second biggest value in 3, q, -0.2?
-0.2
Suppose 0 = -0*y + 3*y - 3. Which is the smallest value? (a) 6/11 (b) y (c) -3/7
c
Let o = 19.8 - 20. What is the smallest value in -1, -4/3, o?
-4/3
Let l = 0.7 - -0.3. Let o = l + -0.8. Let g = 2.4 + -0.4. Which is the second smallest value? (a) g (b) o (c) 0.4
c
Let v = -71 - -66. Let q = -3 - 0. What is the second biggest value in q, v, 1?
q
Let l = -2.4 - -0.4. Let a be 9/3 - (3 - 4). What is the smallest value in l, -2/9, a?
l
Let z = 6/37 + -184/1591. What is the third smallest value in -5, z, -4?
z
Let v = 14 + -9. Let o = v + -4. What is the second smallest value in o, 4, -2/3?
o
Let f = -11 - -14. Let j = 0.03 - -4.97. Let m = j - f. What is the third biggest value in -2/3, -1, m?
-1
Suppose 4*f = 5*g - f - 80, -5*g = -3*f - 70. Which is the second smallest value? (a) -1 (b) g (c) -1/4
c
Suppose 19*x = 51 + 6. Let g = 2 - 0. What is the third smallest value in x, g, -2/5?
x
Let s = -126/29 - -15333/3509. Let m = 257/605 - s. Let f be 0 + 5/((-20)/16). Which is the second smallest value? (a) m (b) -3 (c) f
b
Let u = 0.0839 - -12.8861. Let i = u - 13. What is the smallest value in 3, i, 2?
i
Let j = 0.6 + -16.6. Let y = j - -23. Which is the biggest value? (a) 2 (b) y (c) -2
b
Let j = 3.976 + 0.024. Which is the fourth biggest value? (a) -3/5 (b) -0.4 (c) 2 (d) j
a
Let j be 4/(-12) + (-11024)/84. Let x = j - -132. Which is the biggest value? (a) x (b) -0.4 (c) -3/5
a
Let g = -0.06 + -0.34. Let x = g + 0.1. Let l = -0.7 + 0.2. Which is the smallest value? (a) x (b) 5 (c) l
c
Let i be 4/(-10) - 120/(-175). Let y = 5.2 - 0.2. Which is the third smallest value? (a) y (b) -1 (c) i
a
Let f = 23 - 23.45. Let b = f + -0.05. What is the smallest value in b, 3, -3/5?
-3/5
Let v(f) = f + 7. Let p be v(-7). Suppose p = -2*t + t + 1. What is the second biggest value in -1/4, t, 2/15?
2/15
Let v = 1 - 6. Suppose 2*f - 7 = -1. Let t be f/(-21)*(3 + 1). What is the biggest value in t, -0.3, v?
-0.3
Let k(v) = v**3 + 3*v**2 + 2*v + 3. Let u be k(-3). Let s = 65/4 - 447/28. Which is the biggest value? (a) -1/8 (b) u (c) s
c
Let d = 0.243 - 0.093. What is the second biggest value in -1/4, 5, d?
d
Let n be -1 + 1 + (-4)/(-16). Which is the third smallest value? (a) n (b) -2/7 (c) 0.06
a
Let t = -0.19 - -8.19. Let z = 1 - t. Let f = z - -6.7. Which is the biggest value? (a) f (b) -1/4 (c) -1
b
Suppose -2*s = 2*s - 8. Let p be s - ((-237)/(-27) - 1). Let v = p + 355/63. Which is the second biggest value? (a) 0 (b) -2 (c) v
c
Let z be 3/5*(-10)/(-12). Let g = 1 + -1.3. What is the second smallest value in g, 1/11, z?
1/11
Let g = 3.366 - 0.456. Let y = 0.09 + g. What is the third biggest value in -4, 0.1, y?
-4
Let s be -1*(-4)/((-40)/(-5)). What is the biggest value in 2/11, 4/11, s, -4?
s
Suppose -17 = -3*o + 28. Let i be o/10*8/6. Let g be (6/4)/1 - i. What is the smallest value in g, -1, 0?
-1
Let v = -9 + 9.5. What is the biggest value in v, 0.06, -0.4?
v
Let p = -3 - -1. Let f = p - -2.5. Let c = 159 + -156. What is the biggest value in -2, c, f?
c
Let v = 1.5 + 1.3. Let o = 0 + -0.2. Let t = v - o. Which is the second smallest value? (a) 2 (b) -2 (c) t
a
Suppose 3*z - z = -8. Which is the second smallest value? (a) z (b) 1/7 (c) 4 (d) -1
d
Let n = 7.04 - 7. Let j = 0.24 - n. Which is the smallest value? (a) 1/3 (b) j (c) 2
b
Suppose -2*q + 0*q = 0. Let s be (-6)/84 - 3/(-6). Which is the smallest value? (a) 5 (b) s (c) q
c
Let i = 3 - 4. Let x = -1 - i. Let r = -0.247 - -0.047. What is the second biggest value in 4, r, x?
x
Let p = 13 - 12.5. Let s = 4.5 + -5. Which is the second biggest value? (a) s (b) 2 (c) p
c
Let t = -47/2 + 26. Let f(o) = -o**2 + o + 3. Let m be f(3). Which is the biggest value? (a) 2 (b) t (c) m
b
Let n = -8 - -13. Let f = 5.3 - n. Which is the biggest value? (a) f (b) -4 (c) 1
c
Let m = -0.07 - 0.03. Let g = m - -0.4. What is the biggest value in g, -0.2, -0.1?
g
Let t be (-6)/27 + 2/9. Let p be 2/5 + (-12)/(-70). Which is the smallest value? (a) p (b) 3 (c) t
c
Let t = -1.5 - -1.9. Which is the second biggest value? (a) 0.2 (b) t (c) -2
a
Suppose 0 = -2*y - 10. Which is the second biggest value? (a) y (b) 2 (c) 2/19
c
Let t = 2 - 3. Let c be (-9)/(-15) + (-2 - (-33)/20). What is the second smallest value in c, -2, t?
t
Let v = -39 - -55. Let h = v - 63/4. What is the biggest value in 2/9, 5/2, h?
5/2
Let z = 0.22 + -0.02. Let d be ((-4)/(-14))/(2/4). Which is the third biggest value? (a) 1 (b) z (c) d
b
Let u be 1 + 4 + (-460)/80. What is the second biggest value in 3, 5, -5, u?
3
Let g(f) = -f**3 - 4*f**2 - 4*f - 12. Let x(s) = -s**2 + s. Let j(i) = -g(i) - 2*x(i). Let h be j(-6). Which is the smallest value? (a) -0.2 (b) h (c) 0.3
a
Let o = -0.12 - -0.2. Let k = o + 0.22. Let s = 4.7 + k. What is the second smallest value in s, -5, -3?
-3
Let i = -1076/11 - -98. Let s be ((-2)/(-10))/((-2)/6). What is the biggest value in -4, i, s?
i
Let d = 1.96 + -3.96. Which is the second smallest value? (a) d (b) 9 (c) -1/5
c
Let m be (-2)/(-6) - (-4)/(-18). Let b = 121 + -1090/9. What is the biggest value in b, m, -0.05?
m
Suppose -2*h - 2*d = -371 + 37, -d = -4*h + 678. Let s = 679/4 - h. What is the second biggest value in s, 1, 4?
1
Let z = 21 + -18. Let p = 18 + -26. Let r = -6 - p. What is the second biggest value in r, -1, z?
r
Let s = 20 + -19.92. Let f = s - -0.42. Let k = 1 - 1.4. What is the second biggest value in f, k, 4?
f
Let d = 25 - 6. Let w = 22.6 - d. Let c = -0.6 + w. What is the third biggest value in 2, c, -4?
-4
Let q = 22.5 + -23. Which is the third biggest value? (a) q (b) 5 (c) 1/2
a
Suppose -4*t = 2*q, -t + 4 = 3*t. Let s be (-1 - -1)/(-3) + q. Which is the third biggest value? (a) s (b) 3 (c) -1
a
Let o = 0.41 - -2.59. What is the fourth smallest value in -0.3, o, -5, -0.09?
o
Let l = 4 - 3. Let n = l + -6. What is the third biggest value in -0.5, n, -6?
-6
Let g = 36 + -113/3. Let f = -0.1 - -0.1. What is the second smallest value in g, 2, f?
f
Suppose 0*m = 2*m + 10, -5*c - 2*m = 35. Let w(f) = f**2 - 2. Let z be w(c). Suppose z - 3 = 4*s. What is the second biggest value in s, 0.2, -2/3?
0.2
Let d(g) = -g**3 - 5*g**2 + 6*g + 2. Let t be d(-6). Let u be 6/(-2) + (0 - 1). Let i be (-2 - -5)/(30/u). What is the second biggest value in t, 1, i?
1
Let k be (10/100)/((-2)/4). Which is the biggest value? (a) 1/2 (b) k (c) 4
c
Let m = 5 - 4. Let c = -8/15 + 7/10. What is the second smallest value in m, -2, c?
c
Let o be (0/3)/(-1) + 1. Let x be -2 + (-1 - o)*-1. Let n = -113/2 - -569/10. Which is the third biggest value? (a) n (b) 5 (c) x
c
Let y be 7/(-42) + (-34)/12. Let k be -4*((-5 - y) + 3). Which is the biggest value? (a) k (b) -0.1 (c) 1/2
c
Suppose -6*n + 20 = -n. Let r(q) = -q**3 + 3*q**2 + 5*q - 2. Let j be r(n). What is the second biggest value in 0, 1, j?
1
Let r = -30 + 34. Which is the smallest value? (a) 0 (b) 18 (c) r
a
Let u = 16 + -15. Let i = -3.93 - 0.07. What is the second sm
|
{
"pile_set_name": "DM Mathematics"
}
|
, l: 3}. What is prob of picking 1 a and 1 w?
2/51
What is prob of picking 3 q when three letters picked without replacement from {q: 12, f: 6}?
55/204
Two letters picked without replacement from dqqb. What is prob of picking 1 d and 1 q?
1/3
Two letters picked without replacement from {d: 1, q: 2, n: 5, e: 4, w: 4}. Give prob of picking 1 d and 1 q.
1/60
Two letters picked without replacement from leqllellllqllvellll. What is prob of picking 2 q?
1/171
Calculate prob of picking 1 u and 1 f when two letters picked without replacement from zfdffzmfgzffuum.
4/35
Calculate prob of picking 2 a when two letters picked without replacement from iaakhhakikhhaiksp.
3/68
What is prob of picking 3 s when three letters picked without replacement from {a: 4, s: 8, x: 2, q: 1}?
8/65
Two letters picked without replacement from {e: 5, m: 2, i: 2}. What is prob of picking 2 i?
1/36
Two letters picked without replacement from {c: 2, r: 4, h: 1, g: 1, a: 3, x: 1}. What is prob of picking 1 x and 1 c?
1/33
Two letters picked without replacement from {d: 2, z: 1, x: 4}. What is prob of picking 2 d?
1/21
What is prob of picking 1 r and 2 w when three letters picked without replacement from {c: 1, g: 1, r: 5, w: 2, i: 1, o: 3}?
5/286
Calculate prob of picking 2 e when two letters picked without replacement from {e: 4, k: 2}.
2/5
Calculate prob of picking 1 e, 1 a, and 2 g when four letters picked without replacement from gegiaageiiaaeiaiiag.
9/323
Four letters picked without replacement from {d: 5, g: 7, s: 2}. Give prob of picking 3 g and 1 s.
10/143
Two letters picked without replacement from xxgqxxxxx. What is prob of picking 1 g and 1 x?
7/36
Calculate prob of picking 1 b and 1 r when two letters picked without replacement from rravrsvbbrrrb.
3/13
Two letters picked without replacement from {v: 1, h: 2, t: 2, r: 4}. Give prob of picking 2 r.
1/6
Four letters picked without replacement from {r: 2, f: 4, k: 6}. What is prob of picking 1 f, 2 k, and 1 r?
8/33
Two letters picked without replacement from {f: 3, v: 7}. Give prob of picking 2 v.
7/15
Four letters picked without replacement from {b: 7, a: 5}. Give prob of picking 1 a and 3 b.
35/99
Calculate prob of picking 2 x when two letters picked without replacement from {e: 7, x: 7}.
3/13
Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {l: 12, g: 1, n: 3, i: 4}.
1/190
What is prob of picking 2 n and 2 m when four letters picked without replacement from {v: 2, n: 2, m: 2}?
1/15
Calculate prob of picking 1 t and 1 b when two letters picked without replacement from wbbmbwogbttwtbw.
1/7
Three letters picked without replacement from cgccccccccgc. What is prob of picking 2 g and 1 c?
1/22
Two letters picked without replacement from dddddidid. Give prob of picking 1 i and 1 d.
7/18
Calculate prob of picking 2 z when two letters picked without replacement from {w: 1, t: 1, z: 2}.
1/6
What is prob of picking 2 t and 1 p when three letters picked without replacement from {t: 12, p: 1}?
3/13
Calculate prob of picking 1 b, 1 i, and 1 z when three letters picked without replacement from bbbcbebiz.
5/84
What is prob of picking 1 m and 2 x when three letters picked without replacement from {x: 2, m: 3, f: 15}?
1/380
What is prob of picking 1 f and 1 b when two letters picked without replacement from {w: 1, f: 1, b: 1}?
1/3
Four letters picked without replacement from {h: 1, b: 1, n: 5, w: 4}. Give prob of picking 1 h, 2 n, and 1 b.
1/33
Two letters picked without replacement from {u: 8, n: 3}. What is prob of picking 1 n and 1 u?
24/55
What is prob of picking 1 b and 1 r when two letters picked without replacement from rrbrbbbbrrrrrr?
45/91
Three letters picked without replacement from ekeeeeeeeeekekeeeeee. What is prob of picking 3 k?
1/1140
Three letters picked without replacement from rfttntdrctfd. Give prob of picking 2 d and 1 t.
1/55
Calculate prob of picking 3 c when three letters picked without replacement from cccrcccrc.
5/12
Two letters picked without replacement from {k: 4, o: 4, i: 3, d: 3}. What is prob of picking 1 o and 1 k?
16/91
Calculate prob of picking 1 j and 1 f when two letters picked without replacement from {f: 1, b: 1, j: 2}.
1/3
Two letters picked without replacement from mbrurhy. Give prob of picking 2 r.
1/21
What is prob of picking 1 o and 1 u when two letters picked without replacement from juquuqjjqjujo?
2/39
Three letters picked without replacement from {u: 8, a: 3, k: 7}. What is prob of picking 1 k and 2 a?
7/272
Calculate prob of picking 1 n and 3 u when four letters picked without replacement from {n: 10, u: 4}.
40/1001
Two letters picked without replacement from qhnxhqqnnhqnhqnqqhqq. Give prob of picking 1 x and 1 h.
1/38
Calculate prob of picking 1 g, 1 u, and 1 b when three letters picked without replacement from {z: 1, g: 2, b: 2, u: 1}.
1/5
Three letters picked without replacement from {n: 15, b: 3}. Give prob of picking 3 b.
1/816
Two letters picked without replacement from {s: 9, m: 2, d: 3, j: 2}. Give prob of picking 1 s and 1 j.
3/20
Two letters picked without replacement from {z: 15, b: 5}. What is prob of picking 1 z and 1 b?
15/38
Two letters picked without replacement from qqghgqgeglgqgqgh. Give prob of picking 1 g and 1 h.
7/60
What is prob of picking 3 g and 1 f when four letters picked without replacement from fggffggg?
3/7
Calculate prob of picking 4 c when four letters picked without replacement from cbcbbcocbob.
1/330
What is prob of picking 1 i, 1 m, and 1 n when three letters picked without replacement from nnzminnmgzgnigzznnm?
14/323
Three letters picked without replacement from ffffjjjfffkfkj. What is prob of picking 2 k and 1 f?
2/91
Three letters picked without replacement from lvlrlvriltvatll. What is prob of picking 2 l and 1 r?
6/91
Four letters picked without replacement from {x: 2, y: 1, l: 5, m: 2, r: 1, g: 4}. What is prob of picking 1 y, 2 m, and 1 g?
4/1365
Calculate prob of picking 2 e when two letters picked without replacement from fffee.
1/10
Two letters picked without replacement from {o: 1, h: 1, w: 1, n: 1, f: 2, v: 1}. Give prob of picking 1 h and 1 v.
1/21
Four letters picked without replacement from {s: 3, v: 8}. What is prob of picking 1 v and 3 s?
4/165
Two letters picked without replacement from cccciiccccciccc. Give prob of picking 2 c.
22/35
Four letters picked without replacement from aatatt. Give prob of picking 2 a and 2 t.
3/5
Calculate prob of picking 2 c, 1 k, and 1 t when four letters picked without replacement from ckwckcccwtckx.
9/143
Three letters picked without replacement from {m: 2, q: 12, j: 3}. What is prob of picking 1 j and 2 m?
3/680
What is prob of picking 2 x when two letters picked without replacement from {a: 16, x: 2}?
1/153
What is prob of picking 2 o when two letters picked without replacement from {r: 2, o: 8}?
28/45
What is prob of picking 1 x and 1 h when two letters picked without replacement from hxhxhhhhxhhh?
9/22
Calculate prob of picking 2 y and 1 w when three letters picked without replacement from {w: 1, y: 14}.
1/5
Four letters picked without replacement from nnnnnennnnnnn. What is prob of picking 4 n?
9/13
Three letters picked without replacement from {i: 2, y: 7, e: 3, n: 5, d: 2, v: 1}. Give prob of picking 1 e and 2 d.
1/380
Calculate prob of picking 2 h and 1 u when three letters picked without replacement from pvkhouvpvhkpoph.
3/455
Two letters picked without replacement from vvkkvvvvkvvvvvv. What is prob of picking 1 k and 1 v?
12/35
Calculate prob of picking 2 e and 2 z when four letters picked without replacement from wezdeaddze.
1/70
Calculate prob of picking 3 u when three letters picked without replacement from {u: 10, c: 10}.
2/19
What is prob of picking 3 f when three letters picked without replacement from jjfjjfjfjfjfj?
5/143
What is prob of picking 1 u and 3 v when four letters picked without replacement from vvkkvkkkxuy?
1/330
What is prob of picking 1 x and 3 r when four letters picked without replacement from {g: 1, v: 1, x: 2, r: 3}?
2/35
Two letters picked without replacement from {q: 2, k: 8, f: 5, p: 1, i: 2}. What is prob of picking 1 i and 1 p?
2/153
Two letters picked without replacement from ixuxxxuxxuxxxxxiuxix. What is prob of picking
|
{
"pile_set_name": "DM Mathematics"
}
|
, 3*s = 3*n + 3 for s.
2
Let o(u) = -4*u**2 + 5*u - 11. Let s(q) = q**2 + q + 1. Let r(a) = o(a) + 5*s(a). Let d be r(-11). Solve 2*z + 2*j = 6*z - 8, -3*z - 7 = d*j for z.
1
Let b(u) = u**3 + u**2 - 2*u + 3. Let s be b(-5). Let f = s + 91. Solve f*l + 2*d = 18, 3*l + 4 = 5*d - 2 for l.
3
Let a(w) = -w**3 + 8*w**2 + 22*w - 18. Let b be a(10). Solve b*x - 13 = 5*z, 3*x + 1 = 4*z + 10 for x.
-1
Let f(p) = p**2 - p - 1. Let d(t) = 6*t**2 + 11*t + 7. Let o(x) = -d(x) + 5*f(x). Let j be o(-15). Solve -5*r + 5 = 5*q, -5*r = j*q - 1 - 2 for q.
1
Suppose -9*y + 4*y + 10 = 0. Let x be y + (0/(-1))/3. Solve -2*j - a + x - 11 = 0, 0 = -5*j + 2*a for j.
-2
Suppose 4*j + 15 = 3*x, 2*j + 5 = x - 0*j. Suppose -5*h - 40 = -5*d, -d + x*d - 67 = -3*h. Solve 2*p - 9 = -3*z, -4*p = -4*z + d - 1 for z.
3
Let z be (14/(-4))/(6/(-12)). Suppose -2*v - 2*j = -j - z, 5*j - 7 = 4*v. Suppose 3*b - 8 = -l + 2, 5*l - 12 = 4*b. Solve v = -4*x - k, -l*k - 7 = 1 for x.
0
Suppose 0 = -5*j + 3*v + 15, -40 = -4*j - 2*v - 6. Suppose j*o - 28 = 20. Solve -o = -t + 2*y, -2 = 4*y - 3*y for t.
4
Let w(k) = -k**3 + 12*k**2 + 13*k + 7. Let m be w(13). Suppose 0 = -m*r + 6*r + 2. Solve r*h + 6 = -3*q, -3*h = 2*q - 5*h - 6 for q.
0
Suppose -3*b + 142 = -5*s + s, -3*s = -b + 49. Let q = 11 - b. Let h = -30 - q. Solve 5*p - h*u = -u - 5, -1 = p + 4*u for p.
-1
Let h be (-3)/(-9) - 154/(-6). Suppose -f + 4*i - h = -6*f, 0 = -4*f - 2*i + 16. Solve 3*c + 24 = -4*j, 0*c - 2*j = -c + f for c.
-4
Suppose 0 = 2*t + 2*t - 16. Suppose -2*a + 3*h + 2*h = -35, 2*h + 46 = t*a. Solve 2*b = 3*v + 7, -4*b + 2*v + a = -8 for b.
5
Suppose 3*t - 5*v + 9 = 0, v - 7 = t - 2*v. Suppose t = -3*j + 8. Solve -m = y, 4 = -j*y - 2*y - 2*m for y.
-2
Let l = -1953 - -1975. Solve 7*w = -h + 3*w + 7, 2*h + l = 4*w for h.
-5
Let o = 492 - 490. Solve -w - 3*s + 0*s + 13 = 0, 0 = w - o*s + 2 for w.
4
Let c(o) = -16*o**2 + 110*o + 17. Let u be c(7). Solve 5*b + l - 18 = 5*l, 0 = 3*b + u*l for b.
2
Let l = -3 - -25. Let t be (-1 + (-5)/(-4))/((-2)/(-24)). Suppose 2*u = 5*y + 3*u - 18, t*y = -u + 10. Solve -5*x - 5*o - l = -3*o, x + y*o = -8 for x.
-4
Let t be (-1)/3 - (-38)/6. Let h be -1*(-4)/(8/t). Suppose 2*r + a - 10 = -r, -3*a = -h. Solve 2 = 3*p - 2*g, 2*p - r*g - 3 = -2*p for p.
0
Let g(q) = 6 + 1 - 12*q**2 + 13*q**2 - 4*q. Let j be g(6). Solve -4*k = -6*d + 4*d + 10, -4*k - j = -5*d for d.
3
Let i(r) = 2*r + 2. Let c be i(-1). Suppose 2*p - 3*b + 7 = 0, c + 13 = -3*p + 5*b. Solve -p*a = -4*n + 4, 14 - 4 = 2*a + 2*n for a.
2
Let m(w) = -w**3 - 6*w**2 - 9*w + 1. Suppose -4*y - 2*k - 26 = 0, -21 - 20 = 4*y + 5*k. Let t be m(y). Solve 0 = -4*v + 3*v + t*n + 16, -2*n + 4 = -3*v for v.
-4
Let b be (-21)/14*(-8)/6. Suppose -80 + 6 = -b*a. Let d = -17 + a. Solve 4*w - s - 3 = d, -3*w = 5*s for w.
5
Let k = 859 + -849. Solve 2 = 3*v - k, 0 = -4*i - 4*v + 16 for i.
0
Suppose 0 = 5*o + 6 + 14. Let p = -10 - o. Let q be -10 + 9 - (p + 1). Solve -3*m - q*n - 5 = 0, 0*m + 2*n = -3*m + 5 for m.
5
Let r(z) = -z**2 + 6*z - 8. Suppose 19*x = x + 72. Let o be r(x). Solve -3*m - 12 = -o, 0 = -3*u - 3*m - 24 for u.
-4
Let h(d) = -2*d**2 - d + 7. Let l be h(-3). Let q = l + 11. Suppose 2*n = 7 - q. Solve -4*u - 22 = w, 10 = -3*w - n*u - 6 for w.
-2
Suppose 5*j - 2*p - 40 = 0, 33*p = -3*j + 38*p + 43. Solve 0 = -2*l - o + 3 + j, 2*l = -5*o + 5 for l.
5
Let i(l) be the first derivative of -l**3/3 - 3*l**2 - 3*l + 1. Let v be i(-5). Let u = -284 + 286. Solve x + 6 = -4*w, -u*w = v*x - 0*x + 6 for x.
-2
Let d be ((-116)/(-6))/(-2 + 16/6). Suppose 11*q = 4 + d. Solve x - 5 - 2 = -q*n, 4*n - 13 = -5*x for n.
2
Let j = 437 + -433. Solve j*p = 3*f + 3, 4*p - 3*p + 13 = -2*f for p.
-3
Let n(t) = 12*t + 72. Let x be n(-5). Solve 5*d + 4*k = -x, -5*k = -4*d - 10*k - 15 for d.
0
Suppose 4*z - 20 = 5*f, 4*z + 6*f = 7*f + 36. Let l be -3 + -1 + z - 3. Solve -2*c + 23 = -l*g, -g + 7 = 3*c - 0 for g.
-5
Suppose 0*v - v - 3 = 2*o, 0 = -4*o. Suppose 0 = -3*c + c + 4. Let k be 13/c + v/2. Solve 4*d - 8 = 2*d, 28 = k*p + 2*d for p.
4
Let r be (-2)/(-1) + 0 - 2. Suppose r = -3*g + 25 + 26. Solve 5*d - 16 = -2*b, 0 = 4*d + 2*b - g + 5 for d.
4
Let p(q) = -6*q + 161. Let g be p(26). Solve 0 = 3*j + 4*m + 16, -5*j + 2*m + 13 = g for j.
0
Let z = -28 - -42. Let f be 4/z + (-5)/(70/(-24)). Solve f*d = 4*d - 5*l - 18, -2*l - 12 = 4*d for d.
-1
Let g = 780 + -778. Solve -2*o + g*t + 3*t = -35, 2*o = 2*t + 20 for o.
5
Let q(n) = -5*n - 11. Let d be q(-3). Suppose p = 2*p + d*y + 7, y = -3*p + 23. Solve -5*h = j + p, -j + 3*j + 5*h = -8 for j.
1
Let z = 18 + -18. Suppose n + 3*d = 15, 3*n + 9 + 2 = 5*d. Solve 4*o = o - 5*m, n*o - 3*m = z for o.
0
Let w(v) = v**2 - 34. Let o be w(-6). Suppose 0 = -3*m + 12 + 3. Suppose -t + o*t + 2*r - 23 = 0, 1 = 2*t - m*r. Solve 3*h - 3*g = 6, 3*h + g = -3*g + t for h.
3
Suppose 2*w = 7*w - 20. Suppose 0 = -p + w*m + 6, -3*p = -2*p + 3*m + 1. Solve -5*q - 1 = -4*s, -4*q + p = s - 14 for s.
4
Let j be -1 + 1065/51 + (-42)/(-357). Solve 0 = -5*p - j, -c - 4*p = 4 + 9 for c.
3
Suppose -3*c + 5*a = -c - 22, -5*c = -4*a - 38. Let f = 10 + 44. Suppose -b = -19*b + f. Solve -u + 3*z + 9 = 0, c*u - b*u = 5*z + 15 for u.
0
Suppose 10*i - 467 = -447. Solve i*b = 3*o - 11, 4*b = -4*o + 4 + 4 for b.
-1
Let f = -55 + 62. Let q be f + 7/(21/(-6)). Solve -5 = -5*h - 5*r, -4*h - q*r = -4 - 1 for h.
0
Let j be 8/(-10)*45/(-6). Let t be (-28)/56*(-10 - 0). Solve 0 = 5*r - 4*u - 32, r + t*u + 35 = j*r for r.
4
Let t(b) be the second derivative of b**3/6 + 23*b**2/2 + 15*b. Let c be t(-14). Solve 0 = 3*h + 5*m + 4, -1 = h - 3*m - c for h.
2
Suppose -3*b = -7*x + 2*x - 45, -b + 29 = -4*x. Suppose 2 = 2*i - 20. Solve i = q + b*g, -5*g + 9 = -3*q + 2 for q.
1
Suppose 214 = 8*j + 190. Solve 0 = 4*s - j*u + 1, 0 = 3*s + 5*u + 6 - 27 for s.
2
Let p = 14 - 5. Let k(m) = m**2 - 4*m + 6. Let b be k(p). Suppose 0 = -5*o + 3*q + 63, 0 = 5*o - 5*q - 4 - b. Solve -2*n - o = -2*d - 5*n, -n + 6 = d for d.
3
Let q(j) = 6*j + 24. Let x be q(-11). Let c = -32 - x. Suppose -c = -5*p - 0. Solve p*y = -4*f - y - 8, -y - 2 = 2*f for f.
1
Suppose -8*z + 9*z - a = 6, z - 3*a = 12. Solve -17*y + 22*y + 20 = 5*b, z*b = -3*y for y.
-2
Suppose -x + 12 = -2*d, 3*x + 2 = -d + 3. Let p be x*(2 + 1/2). Suppose -4 = -v - 2*q + 5, -q + 18 = 2*v. Solve -7 = -3*m - p*l, 16 = 5*m - 5*l - v for m.
4
Let k be 4 + (-8)/(1 + 3). Solve 4*s + k*p - 2 = 0, 3*p + 0*p = 4*s + 23 for s.
-2
Let n be 6858/567 - 4/42. Solve 5*s = -3*x + 25, -4*s - 3*x - n = -7*x for s.
2
Suppose -2*t - 12 = -3*g, 7*g - 4*t - 14 = 6*g. Solve 7*q = 3*q - g*k, 0 = -4*k for q.
0
Let k(p) = p**3 - 5*p**2 - 2*p. Let g be k(4). Let d = -19 - g. Solve -5*z + 0*z = d*m - 35, 0 = m - 5*z + 23 for m.
2
Let o(c) = 10*c + 87. Let b be o(-6). Let z be (-2)/6 + 144/b. Solve z*f + 10 = r + 4*r, 5*f + 12 = 4*r for r.
-2
Let v be 10/(-20)*56/(-2). Let n = v + -9. Suppose -12 = -0*t - 2*t. Solve 3*d = -d + n*r - 7, 3*d = 4*r - t for d.
2
Let l = -17 + 13. Let k = 3 + l. Let w be k/(-5) + 159/5. Solve 3*s - 2*r + 0*r + 19 = 0, -4*r + w = -4*s for s.
-3
Let o = -126 + 256. Suppose 0 = 5*i + 5*s - o, i - 23 = -2*s + 3. Solve c + i - 1 = 4*a, -c = a for a.
5
Let k = -6 + 15. Let a be (-6)/k*-3*-2. Let o = -2 - a. Solve o*x - 11 = 7*q - 2*q, 0 = 5*x + 2*q + 16 for x.
-2
Suppose u + 13 = -5*m + 8*m, -9 = -2*m + u. Solve -33 = m*f - 5*n, 2*n - 10 = -2*f - 4 for f.
-2
Let r(j) = -j**2 + 9*j + 2. Let y be r(5). Let m = -20 + y. Solve -m*c + 5*p = -7, 6*p - 2 = -4*c + 4*p for c.
1
Let s = -1178 - -1182. Solve c = 4*k + 8, 0*c - c + s = -2*k for k.
-2
Suppose 0 = 4*g - 5*o - 8, 0 = 2*g + 2*g - 2*o - 8. Suppose -4 = 2*l, -g*s = -s + 2*l - 1. Let m = -14 + 18. Solve -s*h + 0*k + m = 2*k, 3*h - 2*k = -4 for h.
0
Suppose 2*k = -157 + 161. Solve 0 = p - 1, 0 = -n - p - k for n.
-3
Let q = -1462 + 1467. Solve -4*n - 10*m + 5 = -5*m, -1 = q*n - m for n.
0
Let d(t) = 3*t + 7. Let p(f) = f + 2. Let j(a) = -d(a) + 5*p(a). Let g be j(1). Solve 0 = -2*h + 2*o, -4*h + g*o - 3*o = 4 for h.
-2
Let i(m) = 6*m**2 - 7*m + 6. Suppose -10 = 2*v - 6*v - 3*r, 0 = 2*v + r - 4. Let k be i(v). Solve -4*d - k*z = 29, -3*d = -4*d - 2*z - 11 for d.
-1
Suppose -3*m = -9 - 18. Suppose 0 = 11*t - 14*t + m. Let x be (0 + -2)/(t/(-6)). Solve 4*w + 18 = 5*r, -5*w = x*r - 0 +
|
{
"pile_set_name": "DM Mathematics"
}
|
n g, 3, 5?
g
Let g = 19665 - 137657/7. What is the nearest to g in -2/1213, -2, -3/4?
-2/1213
Let t be (-106)/(-90) - 203/145. Which is the nearest to t? (a) -0.4 (b) 5 (c) -4/15
c
Suppose 0 = j + 4*j + x - 17, -9 = 3*x. Suppose -w - 5 = 4*h, -15 = -w + j*w. Let q be (-24)/(-35) + (-4)/10. Which is the closest to -0.2? (a) h (b) q (c) 2
a
Let f = -0.8896 + -0.4104. What is the nearest to 2 in -4, -1, -0.2, f?
-0.2
Let o = 2 - 2. Let y = -1617/3365 + 458/673. Which is the closest to 3? (a) y (b) -15 (c) 4 (d) o
c
Let v(k) = -7*k - 127. Let f be v(-18). Let q = 3.01 + -2.81. Which is the closest to -2? (a) q (b) -5 (c) f (d) -1/2
c
Let i = 230/427 + 2/61. What is the closest to 178 in 3, -3/7, i?
3
Let n = -76 + 89. Let b = -15 + n. Let a = -16.4 - -2.4. What is the closest to b in 0.2, -0.1, a?
-0.1
Let h = -2.399 - -2.299. Suppose 30 = -r - 5*r. Which is the nearest to r? (a) -2 (b) h (c) 0.3
a
Let p = -18.905 - -13. Let h = 0.095 - p. Which is the nearest to h? (a) 0.1 (b) -5 (c) -4
a
Let f = -119.1 - -119. Let s be (-1045)/(-150) + -5 + -2. What is the nearest to f in -3, -0.1, s?
-0.1
Let t = 0.06 + 0. Let b = 0.14 + t. Let p = 0.2284 - 2.2284. What is the closest to b in 0.3, 2, p?
0.3
Let o = -188 - -186.936. Let k = -0.064 - o. Let h = k + -0.9. What is the closest to h in -6/7, 4, -3?
-6/7
Let l = -8 + 8.1. Let h = -1111 + 1111.5. Let k = 2 + -2. Which is the nearest to k? (a) -1 (b) h (c) l
c
Let o be (-3)/(63/(-2))*((-980)/30 - -35). What is the closest to o in 0.2, -1, -280, -2?
0.2
Let z = 0.575 - 0.285. What is the closest to z in -3, 1/3, -21?
1/3
Let x = 0.26 + -0.36. Let q = -25.1 - -25.2. Which is the nearest to x? (a) 2/7 (b) q (c) -4
b
Let q be 15/40 - ((-148)/(-96) + -2). Let l = 7/6 - q. Which is the nearest to 2/7? (a) l (b) 4 (c) 2/7
c
Let d be 1*(-1)/6 + 0. Let t be 8/(-14)*5*(-3)/(-20). What is the closest to 1/6 in t, -3, d?
d
Let o = -1 - -1. Let q = -2 - 2. Let r = -4151 + 4150.9. Which is the nearest to o? (a) q (b) r (c) 5
b
Let g = 222.93 - -1.07. Let r = g + -236. What is the closest to r in 4/3, -0.3, 2?
-0.3
Let h = -57828/7 - -8233. Let l = h + 28. Let g = 0.093 - -0.107. Which is the closest to 2/11? (a) g (b) -2/5 (c) l
a
Let w be -4*((-56)/364 + (-17)/(-26)). Let p = -79 - -83. What is the closest to 2/3 in w, -0.65, -3/7, p?
-3/7
Let f = 2.14 + -2.24. Which is the closest to f? (a) 5 (b) 1 (c) 24 (d) 4
b
Suppose i = q - 175, 3*i = 5*q + 2*i - 867. Let s = -173 + q. Let x = -2/105 - 58/105. Which is the nearest to x? (a) s (b) 1 (c) -0.4
c
Let j be -1 - 52/360*-3. Let t = j + 7/30. Which is the closest to 2/5? (a) 1/7 (b) 14 (c) 3 (d) t
a
Let z = 20 + -15. Let j be (-180)/(-108)*-3*1. Which is the nearest to 3/4? (a) j (b) 4 (c) z
b
Let f be (-3)/45 - 2/(-5). Let i = -149 + 203.5. Let r = i - 55. Which is the closest to f? (a) r (b) 4 (c) 0.2
c
Let t = 1/3577 + 2043/3577. What is the closest to -1/3 in t, 0.2, -0.3, -8/7?
-0.3
Let l(p) = -p**3 + 7*p**2 + 20*p - 21. Let q(s) = -3*s - 24. Let m be q(-11). Let g be l(m). What is the nearest to 0.5 in -1/4, 0.4, g?
0.4
Let n = 34241 + -34233. Which is the closest to -5? (a) -0.4 (b) n (c) 0.88
a
Let m be (468/(-54))/((70/(-21))/5). Which is the nearest to m? (a) 0.01 (b) -1 (c) 0.09
c
Let p = -7.33 + -0.67. Let h = 52 - 41. Let i = p + h. Which is the closest to 5? (a) i (b) 0.3 (c) -2/13
a
Let r = 8.49 + 0.11. Let t = 3.6 - r. What is the nearest to 1 in -1/2, t, 4?
-1/2
Let r = -0.187 + 0.387. Let n = -34.43 - -39.43. What is the closest to 2/3 in r, 6, n, -3/8?
r
Let g = 0.15181 - 856.15181. What is the nearest to g in -4, 0.4, 0.1?
-4
Let i be (315/12)/(1/(-16)*-6). Let p be (1 - 1) + i/(-245). What is the nearest to -2 in -0.07, p, -4?
p
Let h(x) = -3*x - 5. Let y(z) = 7*z + 11. Let c(g) = 13*h(g) + 6*y(g). Let m be c(9). Suppose -7*s + m = -9*s. What is the nearest to 2/5 in s, 0.4, -0.1?
0.4
Let u = 16412.13 + -16412. What is the nearest to u in 0.4, -4, -1, 0?
0
Let a = 980.4 - 978.7. What is the nearest to -0.1 in -1, -1/4, a, -10?
-1/4
Let m = -15.07 + 0.07. Let v = m + 15. Let y = -0.014 - 0.186. Which is the nearest to v? (a) y (b) -6/7 (c) -4
a
Let d = 13.73 - 50.73. Which is the nearest to 1/11? (a) 5 (b) 3 (c) d
b
Let l = 162 - 1132/7. Let x(i) = i**3 - 40*i**2 - 175*i - 49. Let o be x(44). What is the closest to l in 0.6, o, 1?
0.6
Let h = 1139 - 1169. What is the nearest to -1 in -1, -1/7, h?
-1
Let u = -1.98 + -0.02. Let g = 19933 + -19932.9. Which is the closest to g? (a) 2 (b) u (c) -9
a
Let s = -13.6 + -4.7. Let p = -18.4 - s. Which is the nearest to p? (a) 4 (b) 26 (c) 1/3
c
Let h = -0.04848 - 4.95152. Which is the nearest to 4? (a) h (b) 1 (c) 11
b
Let f be (-6 + -2)/((-4)/(-34)). Let y = 64286/5 - 12925. Let d = y - f. What is the closest to 1 in 5, 0.5, d?
0.5
Let q(n) be the first derivative of -3*n**2/2 + 35*n + 73. Let l be q(12). Let s be 2/(-2)*(-4 - -1). What is the closest to l in s, -3/4, 3/8?
-3/4
Let h = -10133.8 + 10134.06. Let j = -2 - -2. What is the nearest to -1 in h, 1/2, j?
j
Suppose 20 = 3*c + 2*c. Suppose -56*f - 85 + 1297 = 146*f. What is the closest to 10 in 0.2, c, f?
f
Let j be (6/(-8))/((-142)/1704) + -308. What is the closest to -7 in j, 0.3, 4?
0.3
Let c = 1278 - 3839/3. What is the nearest to -1 in -9, 1, c, -2/5?
-2/5
Let z = 205 - 199.92. Let m = -1.094 + 0.014. Let p = z + m. Which is the closest to -2/5? (a) -2/7 (b) p (c) 0
a
Let i = -400.18 - 0.82. Let w = -400.6 - i. What is the closest to 1 in -1, w, -3/7, 6?
w
Let l be -2*((-33)/2)/(-11). Suppose 0 = 5*r + 3*c - 19, -5*r = -r + c - 18. What is the closest to 4 in -2/11, r, l?
r
Let s = -2886 - -11535/4. What is the closest to 1/5 in 6, 2/13, s?
2/13
Let l(g) = g**3 - 9*g**2 + 23*g - 16. Let z be l(4). Which is the nearest to -1/3? (a) z (b) -0.3 (c) 3.48
b
Let g = -30033 + 30028. Which is the nearest to -255/4? (a) -1/5 (b) g (c) -2/11
b
Let t = -27.29 + 27.25. What is the closest to -2/7 in t, -1/4, 1/4, -0.8?
-1/4
Let s = 0.1 - 0.1. Let m = 85803/343196 - 1/85799. Which is the closest to -2? (a) 4 (b) m (c) -1 (d) s
c
Suppose 6*t = 3*t + 621. Let r be (-46)/t + (5/3 - 1). Let s = -1 + 3. Which is the nearest to s? (a) r (b) 6 (c) -5
a
Let l = 91.101 - 3.101. What is the nearest to 2/3 in -2/11, 4, l, 1?
1
Let m be (8/30)/(2/(-5)). Let y(k) = k**3 - 7*k**2 + 2*k + 24. Let p be y(6). Let t = -0.98 - 0.02. What is the nearest to p in t, 0, m?
0
Let h(c) = -2*c - 17. Let n be h(-9). Suppose -2*d - 58*v = -59*v + 15, -5*v + 15 = 2*d. What is the nearest to 1 in -4, n, d, -2/21?
n
Let u = 103 - 111. Let o = 43.98 + -44.38. What is the nearest to 1 in 0.1, o, u?
0.1
Let q be 2/8*2 - 12/21. What is the closest to 2/9 in 2/7, 0.09, q?
2/7
Let k be 1/(-13)*(-2 - 0). Let l = 1155 + -1156. Which is the nearest to l? (a) 0.5 (b) k (c) 2/87
c
Let w = -2272/273 + 178/21. What is the closest to -1/2 in 1, w, -4/9?
-4/9
Let l = -39701/12810 + -1/1281. Let r = -119/40 - l. Which is the closest to -1/2? (a) 1/3 (b) 0.5 (c) r (d) -2
c
Let v = 1.4195 + -1.9195. Which is the nearest to 0.1? (a) 1/17 (b) 5 (c) v (d) -2/9
a
Let h(k) = -k**3 - 11*k**2 - 10*k - 111. Let j be h(-11). Let m = 14 + -13.9. Let t = m + -0.31. Which is the nearest to j? (a) -3 (b) -4/3 (c) t
b
Let j be (-1)/6*(-8)/(-6). Let w = -8802 - -8801. What is the nearest to 13 in 2, j, w?
2
Let t = -0.08457 + 0.58457. Which is the closest to -16? (a) 0.2 (b) 28 (c) t
a
Let u = -229.9 - -238.9. Which is the nearest to 6? (a) u (b) 1/7 (c) -1
a
Let o = -1.056 + 1.296. Let h be -2*1*(-3)/27. What is the closest to h in -2, -2/5, o?
o
Let x = 66259 + -66259.3. Let q = 298 + -5068/17. Which is the nearest to -1/4? (a) 0.5 (b) q (c) x
c
Let i = -22.51 - -0.51. Let s = -29.2 - i. Let y = 7 + s. Which is the nearest to y? (a) -2 (b) -1/5 (c) 0
b
Let j = -6 + 37.1. Let k = -31.4 + j. Which is the nearest to -1/4? (a) k (b) 0.5 (c) 2
a
Let j = 4389 + -4389.1. What is the closest to 0.3 in -12, 8, j?
j
Let p = 30 + -28. Let u be 21/77*(-15 + 4)/(-2 - -1). Which is the nearest to 23? (a) u (b) -3 (c) -1 (d) p
a
Let m = 1422 - 1418. What is the nearest to -0.1 in m, -2, -0.089?
-0.089
Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
0. Suppose 4005 = 5*b + 2*l - 7*l, u = 4*b + 3*l. Round b to the nearest 1000.
1000
Suppose -4133 = -3*u - n - 1256, 0 = 5*u - 5*n - 4815. Round u to the nearest one hundred.
1000
Let m = -26 + -17. Let u = 42.9999967 + m. Round u to 6 decimal places.
-0.000003
Let w = 336 - 333.03. Let y = -3 + w. Let m = 0.18 + y. Round m to 1 dp.
0.2
Let u(i) = -899*i**2 + 7*i + 2. Let t(v) = v**3 + 6*v**2 - 7*v + 7. Let n be t(-7). Let x be u(n). What is x rounded to the nearest 10000?
-40000
Let m = -5 - -5.0011. What is m rounded to three dps?
0.001
Let o = 2623.1994 - 2621.1. Let w = o - 2.1. Round w to four dps.
-0.0006
Let a be 2 + (-483862)/(5 + -3). Let t = -1088556 + 646627. Let q = t - a. What is q rounded to the nearest 100000?
-200000
Suppose -6*w - 1395388 - 104612 = 0. What is w rounded to the nearest 100000?
-300000
Let z = 0.00953222 + 4.99047378. Let a = 3.8 - -1.2. Let i = z - a. Round i to 6 dps.
0.000006
Let c = -1055 + 1054.9507. Round c to 2 decimal places.
-0.05
Suppose -4*j - 200730 = -2*r + 169062, -4*j = -r + 184900. Let d(y) = -10320*y - 12. Let q be d(9). Let x = r + q. Round x to the nearest ten thousand.
90000
Let s(d) = 474*d**2 + 3*d - 2. Let l be s(2). Round l to the nearest 1000.
2000
Let q = -5 + 9. Let j be 2 + (0 - -1) + -1. Suppose j*r + r + 99988 = 2*m, -r + q = 0. Round m to the nearest 10000.
50000
Let a = 96.6 + -83. Let j = -142.6 + a. Let u = 128.9999929 + j. Round u to six dps.
-0.000007
Let v = 13.7 - -2.9. What is v rounded to zero decimal places?
17
Let w = -309 - -207. Let g = w + 113.2. Let b = -10.73 + g. Round b to one dp.
0.5
Let j = -39 + 22. Let w = j - -17.000112. Round w to 5 decimal places.
0.00011
Let z = 32 - 30.8. Round z to 0 dps.
1
Let x be 2549/(-5) + 3/(-15). Round x to the nearest one hundred.
-500
Let d(k) = 1806*k**2 - 4*k + 8. Let p be d(6). Suppose 4*u - p = -u. What is u rounded to the nearest 10000?
10000
Suppose -3 = -2*x - 1. Let s be x/(-3) + 40/12. Suppose -6*z - 26800012 = -2*z - s*q, 3*z + 20099988 = -3*q. Round z to the nearest 1000000.
-7000000
Let j(s) = 738*s**3 - s**2 - 4*s. Let x be j(4). What is x rounded to the nearest 10000?
50000
Let u(i) = 245001*i**2 - 7*i + 10. Let v be u(2). What is v rounded to the nearest one million?
1000000
Let g = -22.00019 - -22. What is g rounded to 4 dps?
-0.0002
Let g(s) = 3 + 167*s + 105*s - 1 - 38*s. Suppose 2*j + 5*l - 14 = 0, -j = -3*l + 4 - 0. Let q be g(j). Round q to the nearest one hundred.
500
Let x = 1842.863 + -1842. Let f = x - 0.053. What is f rounded to 1 decimal place?
0.8
Suppose -12001 = x - 2*d - 2689468, 0 = -4*x - 4*d + 10709808. Suppose -b + x + 3322543 = 0. Round b to the nearest one million.
6000000
Suppose -12*a + 333577807 = 1177807. What is a rounded to the nearest 1000000?
28000000
Let n be (-4 - -7) + -3 + -80000. What is n rounded to the nearest 10000?
-80000
Let z = 0.06752 - 0.07. What is z rounded to four dps?
-0.0025
Let t = -0.803 + 0.8. Let i = -0.1005 + t. Let o = i + 0.1. What is o rounded to 3 decimal places?
-0.004
Let p = -2.200171 + 2.2. What is p rounded to 5 dps?
-0.00017
Let s = 4 + -2. Suppose -344 = b + s*b + f, -2*b = 3*f + 234. Round b to the nearest 10.
-110
Let r = -115.71 + 1.71. Let i = r + 113.13. Let d = i + 0.87000051. Round d to seven decimal places.
0.0000005
Let p = 48 + -47.99999852. What is p rounded to seven decimal places?
0.0000015
Let o = -0.08 + 18.08. Let q = o + -17.99999992. What is q rounded to seven decimal places?
0.0000001
Let h(t) be the third derivative of -t**5/60 - 5*t**3/3 - t**2. Let u be h(-7). What is u rounded to the nearest 10?
-60
Let r = -8 + 2. Let j be (1550/(-3))/(r/(-36)). What is j rounded to the nearest one thousand?
-3000
Let d be ((-24)/30)/(2/10). What is d rounded to the nearest 10?
0
Suppose -k - k - 57590 = 0. Let c be (1 - 1) + (0 - -73795). Let q = c + k. What is q rounded to the nearest ten thousand?
50000
Let n = 0.34 - -0.11. What is n rounded to 1 decimal place?
0.5
Let l be ((-34560)/(-56))/(4/8750). Round l to the nearest 100000.
1400000
Suppose 0 = -2*k - 19098748 - 39747432. Let w = k + 43738813. Suppose n = -w + 2815723. What is n rounded to the nearest one million?
-12000000
Suppose 3*k + 88699 + 28005 = -2*n, -10 = 5*n. What is k rounded to the nearest 1000?
-39000
Suppose 0 = -3*b - 5*h + 3239975, 4*b - 2*b = -4*h + 2159980. Suppose 2*i + b = -2*o, -5*o - 1204321 = -5*i + 1495679. Round o to the nearest 100000.
-500000
Let m = 795350 - 95350. What is m rounded to the nearest one hundred thousand?
700000
Let y = -1673259127.00000053 + 1673259015. Let k = y - -112. Round k to 7 decimal places.
-0.0000005
Let d = -0.75 - -0.13. Let y = d + -8.68. Let c = y + 2.6. Round c to 0 dps.
-7
Suppose -5*x = j + 701, 36 + 102 = -x + 2*j. Round x to the nearest 100.
-100
Let j = -46 + 46.00000182. Round j to 6 dps.
0.000002
Let p = -89 + 95.1. Let c = -7.1 - p. Let a = -13.83 - c. What is a rounded to 1 decimal place?
-0.6
Let a = -15.8023 + 15.89. Round a to two decimal places.
0.09
Let h = 21.000088 + -21. Round h to five dps.
0.00009
Let l = 1045.3726 + -2062.35344. Let v = l - -1023.9808379. Let m = 7 - v. What is m rounded to 6 decimal places?
0.000002
Suppose 2*l - y - 7 + 1 = 0, -2*l - 3*y = -14. Let m be 14803 - 6/(l - 2). Round m to the nearest one thousand.
15000
Suppose 7292 = 5*g - g. Let m(t) = -45*t**3 - 5*t**2 + 4*t - 3. Let n be m(-5). Let l = g + n. What is l rounded to the nearest 1000?
7000
Suppose -2*h - 2*p - 3 = 9, p = -4*h - 15. Let b = -3 - h. Round b to 7 dps.
0
Let o = 16212 + -16228.002. Let l = o + 16. Round l to three decimal places.
-0.002
Let m = 2288 - -598. Let f be 315/1 - (-2)/(-2). Suppose 5*q = f + m. Round q to the nearest 100.
600
Let v = -2.80000028 + 2.8. Round v to seven decimal places.
-0.0000003
Let q = -13166 - -19196. Let u(s) = q*s - 25 + 27 + 6971*s. Let d be u(-2). What is d rounded to the nearest ten thousand?
-30000
Let i = -126.0000198 - -126. What is i rounded to six decimal places?
-0.00002
Let w = 47 - 47.0684. What is w rounded to 3 dps?
-0.068
Let k(f) = 10*f + 10. Let r be -4*(0 + (-6)/3). Let d be k(r). Let p be (d/(-8))/((-3)/(-720)). What is p rounded to the nearest one thousand?
-3000
Let u = -7.811 - -8. Round u to two dps.
0.19
Let f = 355344 + -227344. What is f rounded to the nearest 10000?
130000
Let h = 0.094 + 0.13556. Let f = -0.052 + -0.178. Let m = f + h. Round m to four decimal places.
-0.0004
Let k = 5.99999944 + -6. What is k rounded to seven decimal places?
-0.0000006
Let p = 1.86 - 0.06. What is p rounded to the nearest integer?
2
Let m = -0.18 - 3.32. Let g = m + 4.78. Round g to one decimal place.
1.3
Suppose -88000002 = 4*v - q, -2*q = -3*v + 2*q - 66000008. Round v to the nearest 1000000.
-22000000
Let v = -0.61 + 0.92. Round v to 1 dp.
0.3
Let d = -0.07364 - -0.069. Round d to 4 decimal places.
-0.0046
Let f = -8.00092 - -8. What is f rounded to 4 decimal places?
-0.0009
Let a = 20.008 - 20. Round a to three dps.
0.008
Let n be (-6)/(-3) - (-446)/2. Let m = -85 + n. What is m rounded to the nearest one hundred?
100
Let r = -3 - -3.00001. What is r rounded to four dps?
0
Let w = -1084 + 1083.97545. Let s = -0.023 - w. What is s rounded to 4 dps?
0.0016
Let m = -1.4 - -15.4. Let p = 13.999999 - m. What is p rounded to five decimal places?
0
Let u = -7.22281 + 452286.22281. Let j = u - 452279.02000012. Let h = j + 0.02. Round h to 7 decimal places.
-0.0000001
Let n = 71 - 83.4. Let a = -7.9 + n. Let h = 20.29887 + a. What is h rounded to four dps?
-0.0011
Let o = 236 + -235.999714. Round o to five dps.
0.00029
Let w = 141 - 141.203. Let v = w + 0.203083. What is v rounded to 5 dps?
0.00008
Let r = -921926235.00000122 - -921926185. Let u = r - -50. Round u to seven dps.
-0.0000012
Let o = 2.9 - 0.9. Let f = 2.000014 - o. Round f to 5 decimal places.
0.00001
Let m(q) = -3499999*q**3 - q**2 + 2. Let j be m(-1). What is j rounded to the nearest 1000000?
4000000
Let i = -236683 + 121220. Let q = i + 72463. What is q rounded to the nearest ten thousand?
-40000
Let s be (2349853/22)/(2/(-4)). Let l = 122623 + s. Round l to the nearest ten thousand.
-90000
Let o = -27179539 + 27178262.1881. Let c = 1277 + o. Let i = c + -0.173. Round i to three decimal places.
0.015
Suppo
|
{
"pile_set_name": "DM Mathematics"
}
|
alse
Let o = -32/2833 - 373796/14165. Suppose -5*r = -4*u + 151, -2 = u - 6. Which is greater: o or r?
o
Let f = -0.12 - -3.62. Let s = 270 - 285.3. Let n = 16.3 + s. Which is bigger: f or n?
f
Suppose 57*w = -56*w + 3835 + 798. Which is greater: -32 or w?
w
Suppose 70*a - 62*a = 976. Let w = 121 - a. Is -3/220 greater than or equal to w?
True
Let m be (-1)/(296/90) - 2142/(-39627). Which is smaller: -2161 or m?
-2161
Let o be (-2*42/12)/(11/121). Is 11 less than or equal to o?
False
Let o be 6/(-8) + 741/(-276) + 3. Let z = o + -19/115. Which is smaller: -1/17 or z?
z
Let s be 11/(-14) + 26/(-7) + 4. Suppose 532 = -h + n + 129, -h = -4*n + 403. Which is greater: s or h?
s
Let l = 252/583 - -6/53. Let r = -42 - -46. Suppose 2 = -3*a - 13, -2*t - 18 = r*a. Is l at least as big as t?
False
Let b(v) = v. Let c be b(4). Let w(j) = 6*j - 26. Let z be w(c). Which is smaller: z or -0.12?
z
Let a be (-99)/(-21) + 1 + (-52)/13. Let i = a - 50/21. Is i less than or equal to 99?
True
Let a = 401.4 - 402.64. Which is bigger: -0.07 or a?
-0.07
Let x = -2209.977 + 2210. Are x and -0.22 non-equal?
True
Let h = -202/363 - -67522/363. Is 185 < h?
True
Let g = 1187.729 + -1188. Let d = g - -0.471. Let l = -8 - -14. Is d smaller than l?
True
Let j = -3788 - -3365. Is j <= -423?
True
Let b = 4659 + -4635. Which is smaller: b or 0.26?
0.26
Let g(k) = 10*k + 97. Let l be g(-7). Let d be ((-3)/(9/78))/(l + -29). Is d >= 10?
True
Let v = -238 - -239. Let a be (4/3 - v)*-81. Which is smaller: a or -26?
a
Let j be (-3)/((-244650)/489272) + -6. Does j = 1?
False
Suppose 114 = 2*u + 674. Let l be ((-6)/7)/(30/u). Let x be 4 + ((-44)/l - 4). Is x bigger than -7?
True
Let i be (-178020)/(-19092) - 9*1. Are i and -3/8 nonequal?
True
Let w = 919005581/10408 + -88298. Do -1 and w have the same value?
False
Suppose 5*l + 3*r = -2249, 0 = 2*l - r + 74 + 830. Is l less than -454?
False
Suppose 0 = 5*f - 845 - 235. Suppose 215*u = -n + f*u - 2, 0 = 3*n + 2*u - 4. Let c be 0 - 4/(-10)*1. Which is smaller: c or n?
n
Suppose -5*m + 17 = -4*c, -m - 10 = 3*c - 2*m. Suppose 13 - 13 = -10*k. Suppose 3*x = -3*i - k*x - 6, i = 3*x - 6. Is c > i?
False
Suppose -1352 = -103*g + 107*g. Let w = g - -129. Let s = w + 1466/7. Is -1/6 at most as big as s?
True
Let d = 11.7 - 6.4. Let s = d + -4. Let h = -0.08 - 0.12. Which is bigger: h or s?
s
Let s be 11/(19877/5)*3/15. Is s not equal to 2?
True
Let k = -0.55 - -5.55. Let l = -33 - k. Let p = 35 + l. Is 0.5 smaller than p?
False
Suppose 25 = -5*o, 0 = -5*r - 4*o + 3237 + 278. Is r at least as big as 708?
False
Suppose 252 = -19*h - 9*h. Let j(v) = -23*v - 226. Let p be j(h). Is -18 != p?
True
Let f(j) = -70*j + 561. Let x be f(8). Which is greater: -20/223 or x?
x
Let w(p) = 16*p + 214. Let s be w(-13). Suppose -s*b - 23*b = 0. Is b at least -14/45?
True
Let a(k) = 7*k - 15. Let y be a(-6). Let p = -29 - y. Suppose -2*f + 5*i = 2*i - 69, -2*f + 79 = -5*i. Which is smaller: p or f?
f
Let a be (-29 + 23)*4/30. Let q = -1.8 + -0.2. Is q less than a?
True
Let k be (-8)/4 - 7226966/(-3686302). Let s = k + 2/14513. Which is greater: s or 1?
1
Let d = 2081 + -1091. Suppose -14*k + d = -5*k. Which is smaller: k or 111?
k
Let l = -321.1 - -273.3. Which is greater: 3/4 or l?
3/4
Let i(s) = s**2 + 10*s - 3. Let y be i(-6). Let n = 1111 + -1014. Let t = n - 97.3. Which is bigger: t or y?
t
Let q be (-40)/(-10) - (-12)/(-3). Suppose q*k - 5*k + 105 = 5*p, 0 = 2*p + 4*k - 44. Suppose -p = 37*c - 35*c. Is c at most as big as -46/5?
True
Let h = -0.259 - -82.259. Let r = -140 + h. Which is bigger: 1/3 or r?
1/3
Let l = 0.4264 - 0.4644. Which is smaller: l or 3?
l
Let v = -15/44 + 1/11. Let q = -5.515 - 0.085. Let t = 5.4 + q. Which is greater: t or v?
t
Let i = 5269 - 5233. Which is greater: i or -3?
i
Let y(c) = -c - 6. Let o be y(-5). Let t be ((-734)/(-3000) - o/(-4))/2. Is 1 less than t?
False
Let r be ((-209)/5061)/(16/2712) - (-4 - 3). Which is greater: 0 or r?
r
Let a be (-1212)/42*300/(-90). Is 95 at most as big as a?
True
Let c be ((-31)/(-186))/((-2)/(-12)). Is 24/893 smaller than c?
True
Let m = -236/41 - -556139/96596. Is m greater than or equal to -1?
True
Let b = -154004 - -153910. Let d be (1/6)/((-2)/(-6)). Which is greater: b or d?
d
Suppose -2*w - 3 - 5 = o, -5*o = -5*w - 35. Suppose -2*v + v + 150 = -3*m, 0 = -3*v + o*m + 450. Is 149 less than v?
True
Suppose -5*u - 3*j - 19 = -37, -3*j - 12 = -5*u. Suppose 2*b = -0*v + u*v + 343, -5*b + 4*v = -847. Which is smaller: 169 or b?
b
Suppose -f = v - 109, 7*v + 436 = 4*f + 3*v. Is -4 greater than or equal to f?
False
Let o be 1 + 36/4 - (5 + -1). Suppose -4*r - 3*m = -o, -2*r - 3*m = m - 8. Which is smaller: -1/56 or r?
-1/56
Let n be (-4)/36*(7 - 5 - 4). Suppose -7*u - 25 = -2*u. Let h(l) = l**3 + 3*l**2 - 6*l + 5. Let z be h(u). Which is smaller: z or n?
z
Let m = 15.2 + -7.4. Let r = m - -68.2. Let c = 76.41 - r. Which is smaller: 0.1 or c?
0.1
Let b = -1527 - -1522. Is -10.4 greater than or equal to b?
False
Let r(i) = -i**3 - 2*i**2. Let t be r(-1). Let o be (-7054)/(-2178) - 3 - 6/27. Let z = o - -184/3509. Are t and z nonequal?
True
Let z = -13646 - -532502/39. Which is bigger: 9 or z?
9
Suppose 5*z - 2*f - 8 = 38, -f - 28 = -3*z. Let s be 2/z*(-50)/(-30). Which is smaller: s or 14?
s
Let v(j) = j - 6. Let w be v(5). Let n = -204 - -189. Let c be 35/n + (-6)/(-4). Is c <= w?
False
Let s = -183 + 182.7. Which is greater: s or 271?
271
Let o be (3 - 1)*8*-1. Let f = 253 - 197. Suppose 0 = 4*q + f - 0. Is q smaller than o?
False
Let q = 11/12 - 3169/3444. Do q and -1 have the same value?
False
Let u = -0.00777 + -0.19223. Which is greater: u or 2/103?
2/103
Let m = 155582/127 - -113/254. Which is greater: m or 1227?
1227
Let f be ((136224/286)/8)/((-6)/4). Is -40 smaller than f?
True
Suppose -3*a - 4*j = 3128, 3*j = 78*a - 73*a + 5194. Is a >= -1039?
False
Let k be -27*(0 + 3)/(-9). Suppose k*q - 214 = 7*q. Suppose 5*z + q = 227. Which is greater: z or 25?
25
Let b be (-12)/((49/3)/(-7)). Suppose 3*t = 9, -a - 9 = -4*a + 5*t. Let j be a/((-16)/(-12)*(-3)/(-2)). Do j and b have the same value?
False
Let v(s) = s**2 + 23*s + 41. Let c be v(-21). Let h be c/(5/(-25)*-5)*-205. Which is bigger: 206 or h?
206
Let u be 2/(-9) + 460/(-36). Let y = -2843 + 2829. Which is greater: y or u?
u
Let u = -3.8686 - 328.1214. Let m = -332 - u. Let v = 0.1 + -1.1. Which is bigger: m or v?
m
Let y be 4/22 + (-370)/(-22). Let j(a) = -14*a**3 - 2 + 18*a**2 + 15*a**3 - y*a + 14 + 27. Let u be j(-19). Which is bigger: u or 7/25?
u
Let s be (-2274)/(-63) - (-226)/(-2373). Is -19 at most s?
True
Let h = -127.4 + 127.267. Is h <= 15?
True
Let n be (-2 + (-91)/(-14))*4/36. Does n = 1122?
False
Let f(o) = 5*o**2 - 101*o - 107. Let t be f(-1). Is -2/77493 bigger than t?
True
Let k be (-198240)/(-2480) + -80 + (-33)/(-31). Let u = -129354/199 + 650. Is k not equal to u?
True
Let j be 3 - (6/(-18) - 2/(-6)). Let a be (2 - 9/j) + 25. Let r be (-626)/(-18) + a/108. Which is bigger: r or 34?
r
Let l = -358 - -230. Let y = l + 168. Suppose 0*n = -4*n + 164. Are n and y nonequal?
True
Let t = 673556/3 - 589361624/2625. Let i = t + -6/125. Let n = -7315 + 7315.2. Is i not equal to n?
True
Let c = -1.8354 + 1.8858. Which is greater: -25 or c?
c
Suppose -2*s + 417 = 2*w + 229, 4*s + 352 = 4*w. Do w and 6 have the same value?
False
Let m = -2681 - -9857. Let b = -35993/5 + m. Is -23 at most b?
True
Suppose -265 + 259 = -6*x. Suppose p + 12 + x = 0. Let q(n) = n - 6. Let u be q(-5). Which is smaller: p or u?
p
Let o be 12/(-27) + 1 + (-147)/(-27). Suppose 3*y - 2*m - 14 = 3*m, -2*y + 1 = 5*m. Suppose -o*s = -y*s - 12. Is 3 != s?
True
Let b = 5.8506 + -5.95. Let a = b + 0.0294. Which is greater: a or 1?
1
Let o be (-20)/(-50) - (2 + (-50884)/(-2210)). Let z = o - -320/13. Is 0 > z?
True
Let k(d) = -932*d - 2842. Let m be k(-7). Which is bigger: m or 3681?
m
Suppose 5*z + 44 = -2*m + 120, m = 3*z - 50. Let n be 40*(z/(-4) + 3). Are n and -155/4 unequal?
True
Suppose -1025 - 2939 = -21*d - 856. Which is bigger: d or 144?
d
Let f = 10491/2 - 20981/4. Let g = 64 + -202. Is f less than g?
False
Suppose 0 = 34*k - 427 - 3993. Let h be (-39)/k - 26/(-20). Let f = 0.043 + 25.957. Which is bigger: h or f?
f
Let m = 156 + -155.925. Let g =
|
{
"pile_set_name": "DM Mathematics"
}
|
et j(v) = -v**2 - 1900*v - 63067. Determine j(-34).
377
Let u(b) = -45*b - 3375. What is u(-72)?
-135
Let o(c) = c**3 - 19*c**2 - 104*c - 30. Determine o(-12).
-3246
Let r(o) = o**3 - 10*o**2 - 711*o + 8275. Determine r(12).
31
Let l(b) = 13*b**2 + 1086*b - 57989. Calculate l(37).
-10
Let y(c) = -c + 1495. Determine y(40).
1455
Let t(x) = 5*x**3 - 12*x**2 + 169*x - 719. Give t(5).
451
Let v(k) = 30*k**2 + 378*k - 7203. What is v(-23)?
-27
Let i(a) = a**3 + 56*a**2 + 298*a + 2230. What is i(-51)?
37
Let n(m) = -m**2 + 306*m - 11898. Calculate n(262).
-370
Let w(v) = -41*v**3 + 8*v**2 + 214*v + 404. Give w(-2).
336
Let z(i) = i**3 + 433*i**2 + 9604*i - 5090. Calculate z(-24).
-2
Let q(d) = 4321*d + 69129. Calculate q(-16).
-7
Let g(u) = 3*u**3 - 30*u**2 - 46*u - 212. What is g(-8)?
-3300
Let m(x) = x**3 + 382*x**2 + 1206*x - 256013. Give m(-377).
-30
Let p(x) = 4*x**2 + 1316*x + 42176. What is p(-36)?
-16
Let w(m) = -2*m**3 - 37*m**2 + 54*m + 1028. Determine w(-20).
1148
Let i(d) = 810*d**2 + 12152*d. Calculate i(-15).
-30
Let m(y) = -7*y**3 - 462*y**2 - 56*y - 44. Determine m(-66).
3652
Let d(h) = 300*h - 17388. Give d(48).
-2988
Let h(r) = -20*r**2 + 9671*r + 362989. Calculate h(-35).
4
Let k(t) = -370*t**2 - 10731*t + 21. Determine k(-29).
50
Let h(m) = 13*m**2 - 34*m + 26. Give h(3).
41
Let b(y) = y**3 - 92*y**2 - 267*y - 3392. Determine b(95).
-1682
Let t(x) = -1316*x - 463328. What is t(-352)?
-96
Let l(z) = 8*z**3 + 85*z**2 - 1129*z - 11529. Calculate l(-10).
261
Let k(v) = -240888*v - 10117310. Give k(-42).
-14
Let k(t) = -22139*t + 221239. Calculate k(10).
-151
Let o(y) = 9*y**2 + 460*y + 2989. What is o(-8)?
-115
Let l(u) = -218*u**2 - 711*u + 1308. What is l(2)?
-986
Let m(t) = -4*t**3 - 130*t**2 + 269*t + 6786. What is m(-33)?
87
Let s(c) = -1965*c + 13891. Calculate s(7).
136
Let k(x) = -16505*x**2 + 165041*x + 51. Give k(10).
-39
Let r(q) = 1946*q + 33368. Determine r(-17).
286
Let d(o) = -21422*o + 235638. Give d(11).
-4
Let k(t) = -5*t**3 + 24*t**2 + 64*t - 169. What is k(6)?
-1
Let a(i) = 118469*i - 13742404. What is a(116)?
0
Let c(b) = -2552*b - 94433. What is c(-37)?
-9
Let m(v) = -42*v**3 + 10*v**2 + 32*v + 21. Calculate m(-1).
41
Let w(b) = b**3 - 22*b**2 - 212*b + 5297. Calculate w(21).
404
Let u(z) = 33*z**2 + 7614*z + 53362. Give u(-7).
1681
Let c(w) = 54288*w + 108573. Calculate c(-2).
-3
Let x(t) = -4*t**3 + 58*t**2 - 147*t + 7. Determine x(7).
448
Let o(c) = 11*c**3 + 67*c - 187. What is o(3)?
311
Let h(o) = -o**3 + 37*o**2 + 183*o + 174. Determine h(-3).
-15
Let m(b) = 2*b**3 - 80*b**2 + 125*b - 172. Determine m(38).
-1198
Let l(s) = -2552*s + 17847. Give l(8).
-2569
Let f(z) = 111018*z - 3552587. Calculate f(32).
-11
Let y(u) = u**2 - 55*u - 1617. Determine y(-22).
77
Let i(f) = -f**2 - 8472*f - 59253. Determine i(-7).
2
Let m(s) = 18*s + 3030. Determine m(-124).
798
Let p(k) = -4487*k - 421777. Give p(-94).
1
Let b(v) = v**3 - 22*v**2 + 60*v - 846. What is b(19)?
-789
Let n(t) = t**3 - 120*t**2 - 197*t - 5674. Determine n(122).
60
Let y(p) = -38*p - 11389. Give y(-300).
11
Let t(m) = -20236*m - 206. Calculate t(0).
-206
Let y(b) = b**3 - 63*b**2 - 18*b - 3193. Give y(64).
-249
Let w(f) = 673*f - 3425. What is w(4)?
-733
Let z(i) = 55682*i - 723841. Determine z(13).
25
Let x(h) = -5791*h + 57619. Give x(10).
-291
Let o(w) = -w**3 - 4*w**2 - 70*w + 52. What is o(-13)?
2483
Let t(q) = 339*q**3 - 35*q**2 + 6*q + 3. What is t(-1)?
-377
Let w(a) = -1249*a - 53740. What is w(-43)?
-33
Let u(l) = 8916*l - 44573. Determine u(5).
7
Let y(w) = -11168*w - 402043. Calculate y(-36).
5
Let z(v) = -v**3 + 64*v**2 + 1743*v - 29643. What is z(81)?
3
Let r(v) = 1040529*v - 10405294. What is r(10)?
-4
Let t(a) = -a**3 - 51*a**2 - 295*a + 216. What is t(-44)?
-356
Let j(z) = z**3 + 2139*z - 13025. Give j(6).
25
Let k(z) = -10524*z - 484129. Calculate k(-46).
-25
Let k(x) = -2*x**3 + 119*x**2 - 390*x - 242. Give k(56).
-130
Let r(x) = 6641*x - 3666. What is r(0)?
-3666
Let i(x) = x**3 - 33*x**2 + 508*x - 6403. Determine i(23).
-9
Let s(j) = 2*j**3 + 2216*j**2 + 21946*j - 15366. Determine s(-1098).
6
Let j(h) = h**3 - 10*h**2 + 361*h + 11048. Calculate j(-15).
8
Let m(g) = 7*g**2 - 2227*g + 138874. Give m(233).
6
Let p(n) = 184*n - 30345. Give p(174).
1671
Let y(p) = -86*p + 1138. Give y(13).
20
Let g(y) = -y**2 + 469*y + 419683. What is g(-454)?
641
Let k(x) = -5540*x - 59633. Give k(-11).
1307
Let w(v) = v**3 + 4*v**2 - 512*v + 3385. What is w(8)?
57
Let u(a) = 102*a**2 + 7*a - 145. Give u(2).
277
Let c(a) = 61*a**3 + 969*a**2 - 66*a + 718. Determine c(-16).
-18
Let f(v) = -77*v - 13455. Give f(-180).
405
Let r(h) = 9992*h + 149276. Determine r(-15).
-604
Let l(m) = 2*m**3 + 62*m**2 + 487*m + 107. Determine l(-17).
-80
Let n(d) = 1320*d - 40954. What is n(29)?
-2674
Let g(w) = -1356*w - 25220. Give g(-19).
544
Let d(c) = -9511*c + 276. Calculate d(0).
276
Let m(l) = -l**2 + 9374*l + 880416. Give m(-93).
-15
Let v(g) = -158416*g - 63049572. What is v(-398)?
-4
Let s(y) = 248*y - 26003. Give s(105).
37
Let w(v) = v**3 - 12*v**2 - 288*v - 312. Give w(-11).
73
Let b(x) = 3*x**3 + 104*x**2 + 891*x - 228. What is b(-17)?
-58
Let c(v) = 8*v**2 - 238*v + 1331. What is c(8)?
-61
Let c(x) = -420*x**2 + 27722*x - 137. What is c(66)?
-5
Let m(d) = -2068*d**2 + 12420*d - 26. Calculate m(6).
46
Let t(u) = -3*u**3 - 105*u**2 - 8*u - 121. Determine t(-35).
159
Let g(l) = -764*l + 163486. What is g(214)?
-10
Let i(q) = -q**2 + 385*q - 15030. Calculate i(341).
-26
Let s(r) = 3*r**3 - 759*r**2 - 3868*r - 532. Calculate s(258).
-16
Let d(w) = -w**3 - 64*w**2 + 29598*w + 583. Determine d(143).
154
Let z(d) = 476*d + 28820. Calculate z(-61).
-216
Let a(b) = -15925*b - 1735888. Give a(-109).
-63
Let s(z) = 16*z**2 - 154*z + 106. Determine s(1).
-32
Let g(h) = 16*h**2 + 9644*h - 9647. Calculate g(1).
13
Let i(z) = z**3 + 17*z**2 - 3923*z - 73813. What is i(-19)?
2
Let k(t) = -84*t**2 + 988*t + 209. What is k(12)?
-31
Let i(y) = -141544*y - 849267. Give i(-6).
-3
Let t(y) = -3*y**2 + 61*y + 364. Give t(14).
630
Let g(o) = -11902*o - 95348. What is g(-8)?
-132
Let s(j) = -j**3 + 45*j**2 + 644*j - 22882. Give s(20).
-2
Let x(m) = 2*m**2 + 1138*m + 5604. Calculate x(-5).
-36
Let v(m) = -6*m - 434. Determine v(19).
-548
Let o(k) = -264807*k + 3442483. Give o(13).
-8
Let i(q) = -1181*q - 8460. Calculate i(-6).
-1374
Let g(z) = 144*z + 14411. Determine g(-129).
-4165
Let m(g) = -2*g**2 + 73*g + 19051. Calculate m(116).
607
Let v(u) = -2903*u + 493423. Determine v(170).
-87
Let t(g) = 2*g**3 - 127*g**2 + 1519*g + 14431. Calculate t(40).
-9
Let t(h) = -5*h**2 + 330*h - 253. Give t(63).
692
Let z(n) = -13*n**2 + 991*n + 153. Give z(76).
381
Let g(u) = -719*u + 146266. Determine g(203).
309
Let f(m) = -m**3 - 102*m**2 - 1868*m + 11780. Calculate f(-75).
5
Let j(a) = -11*a**3 + 400*a**2 + 693*a - 59. Give j(38).
283
Let l(q) = -425001*q + 1700025. Calculate l(4).
21
Let l(v) = 6*v**3 - 13*v**2 + 2*v - 56. Calculate l(7).
1379
Let q(r) = 356*r - 19020. Give q(54).
204
Let b(t) = -2238*t + 28057. What is b(12)?
1201
Let q(t) = -629*t**2 - 188*t - 6. Give q(0).
-6
Let d(n) = -n**3 - 31*n**2 + 37*n + 2406. Give d(-27).
-1509
Let j(g) = 10*g - 355. Give j(-24).
-595
Let q(o) = 67*o**2 + 372*o - 2768. Give q(7).
3119
Let x(u) = -86*u**3 - 11515*u**2 + 1209*u + 437. What is x(-134)?
35
Let p(s) = s**2 + 164*s - 33542. Calculate p(118).
-266
Let c(x) = 194*x**2 - 13758*x - 826. Give c(71).
310
Let t(s) = s**3 + 51*s**2 - 43*s - 46. Give t(-52).
-514
Let x(k) = 6*k**3 - 129*k**2 + 708*k - 296. What is x(12)?
-8
Let q(w) = -35*w**3 - 750*w**2 + 448*w + 211. Determine q(-22).
35
Let b(s) = -4214*s + 518328. Give b(123).
6
Let m(s) = s**3 - 20*s**2 - 348*s + 7358. Calculate m(19).
385
Let v(x) = 510*x + 235114. What is v(-461)?
4
Let b(w) = 3*w**2 - 117*w + 282. Give b(36).
-42
Let x(b) = b**2 + 678*b - 262129. What is x(275)?
-54
Let b(f) = 2663*f + 23514. Determine b(-9).
-453
Let d(n) = 4*n**2 + 304*n - 1196. Determine d(-80).
84
Let m(w) = -8631*w - 51345. Calculate m(-6).
441
Let h(f) = -21*f**2 - 36*f + 49. What is h(-5)?
-296
Let v(z) = -37*z**2 - 484*z + 105. Give v(-14).
-371
Let p(z) = -z**3 + 26*z**2 + 5608*z - 35. Give p(89).
54
Let p(q) = q**3 - 2279*q**2 + 15931*q
|
{
"pile_set_name": "DM Mathematics"
}
|
p**2 - 7*p + 3. Let h be x(8). Solve y = q, -2*z = -0*z + 5*q - h for z.
5
Suppose -12 = -2*r - 4. Suppose 0 = m + r*m. Solve 2*x = -4*w - 8, m = -5*w + x + 6 - 30 for w.
-4
Suppose 0 = -4*v + 2*v + 6. Let i = v + 0. Let x = 4 + 18. Solve 0 = -2*s + 10, -c - i*s + x - 5 = 0 for c.
2
Let p be -2 + ((-6)/(-30) - 27/(-15)). Solve p = 5*i + 2*y - 35, -3*i + 5*y = 2*y for i.
5
Suppose 0*n = 8*n + 336. Let f = -37 - n. Solve 0 = 3*w + 5*t - 7, 0 = -f*t + 3 + 7 for w.
-1
Suppose -5*r + 26 = l + l, -3*r - 96 = -5*l. Suppose 26 - l = 2*m. Solve -3*f + b + m = 2*b, 2*f + 4*b + 4 = 0 for f.
2
Suppose -5*b = -3*b - 18. Let z = 1316 + -1311. Solve -4*y + 0*y - 3*s = -11, -s - b = -z*y for y.
2
Suppose 4*v = -4*q + 24, -6 = -2*q - 4*v + 4. Let b be (6/3*q - 3) + -3. Solve z - 18 = 4*i, 0 = 3*z + z - b for i.
-4
Let x(u) = 6*u**2 - u - 2. Let y be x(-1). Solve 4*n - 18 = 3*n + y*t, 2*n = -5*t - 24 for n.
-2
Let r(i) = 2*i - 24. Let u be r(12). Suppose 5*c - 2 + 2 = u. Solve c = -5*s + 2*k - 1, -s + 3*k + 10 = -5*s for s.
-1
Let a(x) = -2*x**2 - 34*x + 5. Let b be a(-17). Solve -b*l = -5*v + 3*v - 16, -3*l = -3*v - 15 for l.
2
Suppose -15*u = -174 + 129. Solve 4*z = i - 0 - 5, 2*z = -u*i + 15 for i.
5
Suppose -150*n + 174*n - 72 = 0. Solve j + 17 = -5*t, -j = n*j + 3*t + 17 for j.
-2
Suppose -6*b + 14*b = 24. Solve -16 = -3*y - 2*i, 1 = b*y + 3*i - 20 for y.
2
Let b = 24 - 46. Let o be (-4)/b - (-210)/55. Solve o*q = 2*h + 8 + 14, -2*q + 13 = -3*h for h.
-1
Let u(v) = -v + 9. Let w be u(0). Let b be -33*3*1/w. Let i be (33/b)/((-3)/2). Solve -g + 2*g = -5*t - 25, -i*g - 15 = 3*t for t.
-5
Suppose 4*p - 2 = x, -50 = 4*x - 9*p + 7*p. Let b = x + 18. Solve -2*t + 5*t - 10 = -d, b*t - d = 11 for t.
3
Suppose 3*l - 7 = 4*w + 15, 3*l - 14 = -4*w. Suppose j = u + 8, -10 = -j + 3*u + l. Solve 5*k + 5*b - 40 = k, -j*b + 21 = k for k.
5
Let s(p) = -2*p - 10. Let g be s(-5). Suppose -v + 5*v - 8 = g. Let o = 2 - v. Solve -2*r - 10 = -o*r + 3*m, 5*m = -5*r - 25 for r.
-5
Suppose 5*a + o - 103 = 2*a, -3*o = -3. Suppose 8 = 4*t, 5*g + 3*t - a = -8. Solve -2*y - 10 = -3*y - 5*l, g*y + l = 2 for y.
0
Let t(g) = -g**2 - 12*g - 30. Let q be t(-4). Solve -5*y + 4*c = 4, 3*c + q*c - 5 = 0 for y.
0
Let z(y) = y**3 - 31*y**2 - 30*y - 62. Let w be z(32). Suppose w*j - 3 - 5 = 0. Solve j*d - 4*b - 20 = -0*b, -d + 5*b = -5 for d.
5
Suppose -356*s = -351*s. Solve y + 7 = k, -2*y - 2*k - 3*k = s for y.
-5
Let v = 449 + -444. Solve -g + 4*b = -3*g - 12, -3*b - 16 = v*g for g.
-2
Suppose 3*p - 17 = 4*p. Let m = p + 21. Let n = 0 + 4. Solve n*d = -d + m*k, -4*k = 20 for d.
-4
Suppose -3*t = 3*c + 27, 4*c + 11 = -2*t + 3*t. Let b(x) = 2*x + 10. Let f be b(t). Solve n = -3*k - 16, n + k = -f*n - 6 for n.
-1
Suppose -3*n + 14 = 2*t, -3*n + t + 29 = -0*n. Suppose -4*i = -n*i + 16. Let g = 6 - i. Solve -7*a - 20 = -2*a - y, 0 = -g*a - y - 8 for a.
-4
Let j(u) = u**2 - 13*u + 3. Let r be j(-1). Let m = 4 + -1. Solve -v - m*s = v - r, -s = -5*v for v.
1
Suppose 4*j - 22 = n - 6*n, -2*j + 20 = 4*n. Solve 11*i - n*i - 10 = 0, -4*m - 16 = 2*i for m.
-5
Suppose 0 = 5*v - 5*l - 85, -28*l + 26*l = -5*v + 88. Solve -5*h + 4*h + 5 = u, -4*h - 3*u = -v for h.
3
Suppose 4*u - 5 = 11. Let x(s) = 4*s - 49. Let t be x(12). Let l = u - t. Solve -18 = m + l*p - 2, 40 = 5*m - 5*p for m.
4
Let n(z) = 13*z + 46. Let l(c) = 7*c + 23. Let g(r) = -11*l(r) + 6*n(r). Let v be g(-16). Solve 3*i = -2*a + v*a + 8, 5*a = 5*i - 10 for a.
-1
Suppose -k - 1 = -0*t - 3*t, 0 = 2*t - 4. Let n = k - 4. Solve b - 10 = -3*h, 2*b + n = -2*h + 5 for h.
4
Let j be (-3012)/(-48) + 1/4. Let k = j - 30. Solve 5*y + 3*o - k = -o, 0 = 5*y + 2*o - 29 for y.
5
Let v = 359 - 355. Solve 5*i - 3 = 3*z, 9 = v*z + 2*i - 13 for z.
4
Let b(h) = 5*h**2 - 20*h + 13. Let f be b(4). Solve -3*u - 2*u + f = -3*k, -19 = -k - 3*u for k.
4
Let x be -1 - 0 - 45/5. Suppose 0 = -3*v + 2 + 37. Let o = v + x. Solve -z + 4 = 4*g, 4*g - 4 = -z + o*z for z.
0
Let q be (78/(-52))/((-3)/4). Solve 0 = -w - z + 5, 0 = 4*w - q*z - 8 for w.
3
Let l be (-3 + -2 - -1)*9/4. Let y = l - -12. Solve 4*i - y*g + 27 = 0, -i + 2*g = -g + 18 for i.
-3
Suppose -105*j + 111*j - 30 = 0. Solve j*y = -o + 8, 5*o + 6 + 2 = -y for y.
2
Suppose 5*u - 119 = 6. Suppose -31 = -2*l - 3*w, -5*l + u = -w - 78. Solve 0 = -5*h + b - l, -5*b + 3*b = 0 for h.
-4
Let d be 13/52 + 14/8. Suppose -2*q - d*f - 5 = -7*q, -2*q + 16 = 2*f. Solve 3*p = -4*g - 0*p + 3, -5*g - 4*p = -q for g.
3
Let d be ((-4)/(-3))/((-6)/(-9)). Suppose -d*l = -5*u + 26, 2*l - 6 = 3*u - 6*u. Suppose u*t = -1 + 25. Solve 5*s = 3*c - 20, -5*c + 6 = -3*s - t for s.
-4
Suppose -5*l + 0*l + t + 12 = 0, 5*t = -l + 18. Let x be (3 - 0) + 0/5. Suppose -x*h = -3 - l. Solve 0 = -h*b + 2*a - 18, 2*a = -4*b - 3*a for b.
-5
Let s(d) = d**3 + 23*d**2 - 76*d + 72. Let n be s(-26). Let k be 1/(-1) - -7 - 1. Solve 3*m - n = f, 3*f - 3*m = 5*f - k for f.
-5
Suppose 3*r + 12*r = 300. Solve g + 7 = m, -5*m = -2*g - 0*g - r for m.
2
Let u = -6 - -13. Suppose 3*f - 4*f = 2*t + 45, f = t + 18. Let b = 21 + t. Solve 10 = -5*x - a, b*x = 2*x + a + u for x.
-1
Suppose 2*k - 12 = -0. Let q(j) = 4*j**2 - 14*j**2 - j**3 + 4*j**2. Let c be q(-6). Solve -f = c, -2*a - a + f - k = 0 for a.
-2
Suppose -24 = -f - 0*u - 4*u, -3*u = -f - 11. Solve -f*b - 8 = 0, 2*c = -2*c + 2*b for c.
-1
Let j = 4 - 2. Let z = -18 - -20. Suppose z*o - 3*o - 3*v - 4 = 0, 0 = o - 3*v - 14. Solve 3*a + 0*m = -o*m + 7, -4*a = m + j for a.
-1
Suppose 63*g + 12*g - 300 = 0. Solve -3*n = l - 0*l + 4, 4*l - 8 = -g*n for l.
5
Suppose 0 = 38*q + 2 - 382. Solve -6*d - 8 = 4*j - 10*d, -2*d + q = j for j.
2
Let l(a) = 2*a - 35. Let q be l(24). Suppose 11*n = q*n - 8. Solve 3 = -3*u - 2*r, r + n - 2 = -2*u for u.
-1
Let t be 2*(4 + 225/(-10)). Let a = t - -42. Solve 2*p + 5*w = a, -2*p - 1 - 4 = -5*w for p.
0
Suppose -5*p = -3*w + 4 - 2, -3*w + 10 = -p. Suppose -w + 7 = u. Solve 0*x - 24 = a + 5*x, -14 = a + u*x for a.
1
Let r be -1 + -2 + 1 - -4. Solve -2*z = -2, 0 = -2*b + 6*b + 2*z - r for b.
0
Let p = 9 + -6. Let g(b) = 13*b**p - 6*b**3 + 5 + 4*b - 6*b**3 + 4*b**2 - b. Let w be g(-3). Solve -h + 4 = 3*i, h + w*i - 10 = -0*h for h.
-5
Let a = 57 - 55. Suppose 12*b = a*b + 40. Solve -i = 4*m - 9, -8 - 15 = -3*m - b*i for m.
1
Let v(r) = r + 16. Let u be v(-12). Suppose -15 + 3 = u*f - 5*d, 0 = -5*f - 3*d + 22. Solve -12 = 2*c - 2*y, 0 = -5*c - 2*y - f for c.
-2
Let i be ((-18)/20*4)/(8/(-60)). Suppose 3*o + o + 16 = -4*c, 3*c - 4*o = 16. Solve -1 = -3*q + 4*v + i, c = -4*q - 4*v for q.
4
Let x = 50 + -45. Let s be 0 - (x + -8) - 2. Solve f = 5*t - 5 + s, -4*t - f = 4 for t.
0
Let p be ((-2)/1)/12*-6. Suppose -3*s = h - p - 5, 5*s = -5*h. Solve 4*w + 23 = s*i, 3*i + w - 18 = -i for i.
5
Let u = -5 + 10. Let c = 142 - -17. Let g = 162 - c. Solve -s = 4*n + 4, -3*n = -2*s + u*s + g for n.
-1
Let k = 26 - 4. Let a be 8/(-56) - k/(-7). Suppose -a*z + 11 = -7. Solve -3*y = -3*i, 0 = -i + y - z*y + 6 for i.
1
Let v = 262 + -258. Solve -5*d + 2 = -v*d + h, -h - 1 = 0 for d.
3
Suppose -3*q - 5*d + 25 = 0, -4*q + 6*d = -0 - 8. Solve -4*t = -2*y - 5*t + 4, -y + 2 = q*t for y.
2
Let h(m) = 7*m - 76. Let o be h(13). Solve 5*b - 2*v = -9, -v - o = 4*v for b.
-3
Let f(q) = 4*q + 12. Let o be f(-10). Let j be (o/(-35))/(1/5). Suppose -c + 18 - j = 0. Solve 3*z - u - c = 0, -z - 5*u - 8 = -18 for z.
5
Let y be -9 - (-180)/9 - 9. Solve -5*m + y*m + 3*p = 0, 3 = 3*p for m.
1
Suppose -2*r - r = -12. Let i(n) = n**2 - 5*n + 6. Let b be i(4). Let c = -8036 - -8040. Solve 2*f + b + r = c*z, -z - 1 = -f for z.
4
Let q be (18/(-3 + 5))/1. Suppose 45 = 4*w - 5*d, 0 = 3*w - d - 11 - q. Solve 15 = -5*u + w*v, -v - 6 = -4*u - 24 for u.
-5
Suppose 4*z - 5*z = 0. Let n(f) = 0*f**2 - 17*f**2 - 8*f + f**3 + 2 - 9*f + z*f. Let k be n(18). Solve 2*i + 2*a + 0*a + 6 = 0, 4*a = 4*i - k for i.
1
Suppose 73 = -2*q - 5*s, -5*q - 82 = -5*s + 13. Let j(x) = -x**2 - 24*x + 17. Let w be j(q). Solve -3*a - 2*a = -4*n + w, n = -3*a - 17 for a.
-5
Let x(y) be the third derivative of y**5/10 - 7*y**4/24 + 2*y**3/3 + 8*y**2. Let d be x(1). Solve -d*g = f - 2, g = f + 11 - 5 for f.
-4
Let k = -5 - -8. Let r = -8 - -11. Suppose 0 = r*j + 1 - 25. Solve -5*c = -5, -k*c - 4 - j = -5*m for m.
3
Let d = 7 + -4. Suppose -3*k = z + 2, 2*z +
|
{
"pile_set_name": "DM Mathematics"
}
|
9*o**3
Expand (0 + 0 + g**2)*(-3 - 3 - 1).
-7*g**2
Expand (-54 - 5*f + 54)*(5*f - 2*f - f) + 0*f + 0*f + 2*f**2 + 2.
-8*f**2 + 2
Expand -4*p**2 + 0*p**2 + 3*p**2 + (-p + p + p)*(p - 4*p + p) + 2*p**2 - 6*p**2 + 3*p**2 + 10*p - 10*p - 3*p**2.
-7*p**2
Expand (14 - 12 + 10)*(l - 2*l + 3*l).
24*l
Expand (-2*w - 2*w + 6*w)*(-2 + 4 - 1) + (3*w + 0*w + 2*w)*(3 - 5 + 3).
7*w
Expand (-4*z**2 + 3*z**2 + 2*z**2)*(4 + 3 + 5*z - 4).
5*z**3 + 3*z**2
Expand -v + v**3 + v + (v + 3*v - 3*v)*(v**2 + 0*v**2 + 0*v**2) - 3*v**3 + 3*v**3 + 8*v**3 + (-v + 0*v - v)*(2*v**2 - 3*v**2 + 2*v**2).
8*v**3
Expand (w + 2 - 2)*(3*w**4 + 24*w + 24*w - 50*w).
3*w**5 - 2*w**2
Expand (2*h - 4*h + 3*h)*(-4 + 2 + 0)*(-6 - 1 - 9).
32*h
Expand (-2 + 0 + 1)*(0*s**3 - 3*s**3 + 5*s**3) + (0*s - 4*s + 0*s)*(-s**2 + 3*s**2 - 4*s**2) - s**3 + 4*s**3 - 2*s**3.
7*s**3
Expand (-2*o**2 + 2*o**2 - 2*o**2)*(2*o**3 + 0*o**3 + 0*o**3) + 4*o**5 + 0*o**5 + 3*o**5.
3*o**5
Expand -4*o**3 + 4*o**5 + 4*o**3 + (6*o - 2*o**4 - 2*o**4 - 5*o)*(5 - 5 + 3*o).
-8*o**5 + 3*o**2
Expand ((0 + 4 - 3)*(3 - 3 + 1) + 1 + 0 + 0)*(-j**5 + j - j).
-2*j**5
Expand (-2 + 2 + 2*p)*(0*p + 0*p - 2*p**2) + (-9 + 9 + 2*p)*(-5*p**2 + 4*p**2 - p + 2*p**2).
-2*p**3 - 2*p**2
Expand -j**2 + 3*j**2 - j**2 + (0*j - 2*j + 0*j)*(4 - 4 + j) + j**2 - j**2 - j**2 - 64*j**2 + 22*j**2 + 10*j**2.
-34*j**2
Expand (2*s + 2*s**2 - 2*s)*(-s**2 + 5*s - 5*s) + 0*s**3 - 2*s**3 + 3*s**3 - s**4.
-3*s**4 + s**3
Expand (v - v - 2*v**2)*(0*v**2 + v**3 + 0*v**2)*(-2 - 1 + 1)*(3 - 5 + 4).
8*v**5
Expand (q + q - 4*q + 2*q**3)*(6*q**2 + 4*q**2 + 4 - 14*q**2).
-8*q**5 + 16*q**3 - 8*q
Expand (-7 + 2 + 1)*(4*h - 2*h + h) - 4 + 4 + 2*h.
-10*h
Expand -2*f**3 - 3*f + 3*f + (-f - 6*f + 2*f)*(6*f + 2*f**2 - 6*f).
-12*f**3
Expand (0 + 2 - 4)*(-1 - 3 - 4)*(4*h - 5*h - 3*h).
-64*h
Expand (5 - 11 - 16)*(0*y + y - 3*y)*(-5*y**3 + 2*y**3 + 2*y**3).
-44*y**4
Expand -4 + 4 - y**2 + (-1 - 3 + 5)*(10*y**2 + 2*y**2 + 3*y**2).
14*y**2
Expand (32 + 38 - 76)*(5*a - 4*a + a).
-12*a
Expand (2*h - 3*h + 0*h)*(5*h - 5*h + 5*h**4) - 2 + 2 - h**5 + 3*h**5 + h**5 - 6*h**5 + (-3*h**3 + 4*h**3 - 3*h**3)*(2*h**2 + 3*h**2 - 3*h**2).
-12*h**5
Expand (11 - 11 - 9*p)*(-10 + 10 + p**3).
-9*p**4
Expand (-3 + 3 + 3)*(w - 2*w + 2*w + 3*w**3).
9*w**3 + 3*w
Expand (-2 - 2*l + 2)*(-5 - 3*l**2 + 5) - l**3 + 20*l - 20*l.
5*l**3
Expand (4 - 2 - 4 + (-1 + 1 + 1)*(1 - 1 - 2))*((-x**2 + 1 - 1)*(0*x**3 - 5*x**3 + 8*x**3) + 2*x**4 - 2*x**4 - 3*x**5).
24*x**5
Expand (0 + 0 - 2*h)*(-2*h + 5*h + 0*h)*(-h**3 + 4*h**3 + 0*h**3).
-18*h**5
Expand (-h - 4*h + 3*h)*(-h + 0*h + 2*h) - 2 + 2*h**2 + 2 - 3*h**2 - h**2 + 3*h**2 + (4*h**2 + 7 - 7)*(-1 - 2 + 2).
-5*h**2
Expand (0*y**2 + 0*y**2 - y**2)*(-1 - 1 + 5) - 2*y**2 + 3*y - 3*y + (3 - 2*y - 3)*(-2*y - 4 + 4) - 6*y**2 + 2*y**2 + y**2.
-4*y**2
Expand (0 + 1 - 3)*(37*u + 0 - 3 - 32*u).
-10*u + 6
Expand (5*t + 1 - 1)*(2*t**2 - t**2 - 2*t**2)*(t + 3*t - 6*t).
10*t**4
Expand -6*l**5 + 17 - 17 - 2*l**5 - l**5 + 4*l**5 + (2*l**3 - 3*l**3 + 3*l**3)*(-l**2 + 4*l**2 - l**2) + 2*l**5 - 2*l**5 - l**5.
-2*l**5
Expand (3 + 0 - 1)*(-4 + 4 - q)*(8*q**3 - 2*q**3 - 2*q**3).
-8*q**4
Expand (1 - 1 - 1)*(5*s + 0*s - 3*s) + 4*s + 0*s + 2*s.
4*s
Expand 3*v**2 + v**3 + v - 3*v**2 - 2 + (v**2 - 3*v**2 - 14*v**2)*(-2*v + v + 2*v).
-15*v**3 + v - 2
Expand -5*b + 2*b - 3*b + 0 + 2*b + 0 + (-3*b - 5*b + 6*b)*(-2 - 2 + 3) - 3*b - 2*b + 3*b.
-4*b
Expand -5*x**3 + 4*x**3 - 3*x**3 + (0 - x**2 + 0)*(-x + x + 2*x) - 3*x**3 - 7*x**3 + 8*x**3.
-8*x**3
Expand (3 - 2 + 0)*(3*d - 3*d - d) + (d + 1 - 1)*(-2 + 13 + 0).
10*d
Expand (3*q - 5*q + 0*q)*(3 - 3 + 2*q) - q**2 - q**2 + 4*q**2.
-2*q**2
Expand (-4*m**5 + 3*m**3 - 3*m**3)*(7 - 1 - 3).
-12*m**5
Expand (-4 + 5 + 4)*(b + 2*b - b)*(5 - 1 - 3).
10*b
Expand (730 - 730 - 40*n**3)*(2*n + 0*n - 4*n - 2*n**2).
80*n**5 + 80*n**4
Expand (-3*t - 2*t + 3*t)*(-3 + 3 + 3) + 3*t - t - t.
-5*t
Expand (0*d + 8*d - 2*d)*(-6 - 2 - 2 + (-3 + 4 + 1)*(-5 + 2 + 1)).
-84*d
Expand -14*x**2 + 11*x**2 + 25*x**2 - 2*x**2 + 2*x**2 - x**2 - 2*x**2 - x**2 + 4*x**2 + (-x + 2 - 2)*(2 - 2 - x).
23*x**2
Expand (-3*t**2 - 4*t**2 + 5*t**2)*(-t + 4 - 17 + 0*t).
2*t**3 + 26*t**2
Expand (-5 + 5 + l)*(13*l**2 - 7*l**2 + l**2) + 2*l**3 - 4*l**3 + 5*l**3.
10*l**3
Expand (0 + 0 - 2*v)*(-v**2 - 2*v**2 + v**2) + v**2 + 2*v**2 - 11*v + 2*v**3 + 13*v.
6*v**3 + 3*v**2 + 2*v
Expand (-4*o - o + 4*o)*((4 - 4 - 3)*(-2*o + 0*o + 3*o) + 5 - 5 + o).
2*o**2
Expand (13*b + 54 - 54)*(2 - 5 + 1 + (1 - 1 - 2)*(2 + 2 - 2) + 1 + 3 - 3).
-65*b
Expand 2*s**4 - 2*s + 2*s + (0 + 0 - 2*s**2)*(s - s + 2*s**2) - 2*s**4 - s**4 + s**4 - 4*s**4 - 3*s**4 - 7*s**4.
-18*s**4
Expand (4*d + 1 - 1)*(-d + 5*d - 3*d)*(-5 + 3 + 4*d + 3).
16*d**3 + 4*d**2
Expand (-j - 1 + 1 + (-11*j + 5 - 5)*(-1 + 1 - 1))*(0 - 2 + 3)*(2*j**3 + 0*j**3 - 4*j**3).
-20*j**4
Expand -d**3 - 2*d**2 + 2*d**2 + (4*d + 3*d - 5*d)*(-3*d**2 + d**2 + 0*d**2).
-5*d**3
Expand ((-2*d + 6*d - 3*d)*(-2*d + 4*d + 0*d) + 2*d**2 - 5 + 5)*(d**3 + d**3 - 3*d**3).
-4*d**5
Expand (15*m**3 - 87*m**3 + 37*m**3)*(-1 + 2*m + 1).
-70*m**4
Expand (3*r - 4*r - r)*(0*r**2 + 2*r**2 - r**2)*(-6 + 2*r**2 + 6).
-4*r**5
Expand (3*h + 2*h - 3*h)*(2*h + 2*h - 3*h)*(h - 2*h + 0*h).
-2*h**3
Expand (-4 + 0 + 1)*(-2 - 2*f**4 + 2) + (f**4 + 3*f**4 - 2*f**4)*(2 - 5 + 0)*(2 + 2 - 2).
-6*f**4
Expand (0 + 0 - 6)*(-2*b + 7*b + b)*(3 + 0 - 2).
-36*b
Expand (-6 + 3*f**2 + f**2 + 6)*(-8*f**2 - 6*f + 6*f).
-32*f**4
Expand (-l**2 + 4*l**2 + l**2)*(-3*l - 5*l + 2*l)*(-3*l + 0*l + 2*l).
24*l**4
Expand (6*l - 4*l - 3*l)*(-3*l**2 + 2*l**3 + 3*l**2) + 4*l**4 + 7*l**4 + 0*l**4.
9*l**4
Expand -f + 0*f + 0*f + (8*f + 18 - 18)*(2 + 0 - 1).
7*f
Expand -2*c**2 - 3*c**2 + 7*c**2 - 2*c**2 + 0 + 0 + (-3 + 1 + 3)*(-c**2 + 0*c + 0*c).
-c**2
Expand (-2*a + 8*a - 2*a)*(0 + 1 - 3)*(-2 + 1 - 1).
16*a
Expand (4*o - 3*o + 3*o)*(4*o + 1 + o - 2).
20*o**2 - 4*o
Expand -o**2 + o**2 + o**3 + (6 - 6 - o)*(-o + o + 2*o)*(2*o - o + 2*o).
-5*o**3
Expand -6*b + 14*b - 9*b + (3*b - b - 3*b)*(-6 + 1 + 3).
b
Expand v**2 + 2*v + 0 - 25 + 7 + (-v + 0*v - v)*(0 + 0 - 2*v).
5*v**2 + 2*v - 18
Expand (-1 + 4 - 2)*(3*p + p - 2*p)*(2*p - 4*p + 3*p).
2*p**2
Expand (4*z + 10*z - 24*z)*(z + 2 - 2).
-10*z**2
Expand (-t**2 + 0*t**2 + 3*t**2)*(-2*t**3 + 0*t**3 + 0*t**3) + t**2 + 91*t**5 + 0*t**2 - t**2.
87*t**5
Expand (-5*v + v + v)*(-2 + 3 - 2).
3*v
Expand (-5*t + t + 2*t)*(0 + 3 - 2) + 4*t + 1 - 6 - t.
t - 5
Expand (7*z - 7*z + 15*z + 1)*(-4 + 4 + 1).
15*z + 1
Expand (5 - 3 - 3)*(-4*x + 7*x - 2 - 4*x)*(-5*x**2 - 3*x**2 + 5*x**2).
-3*x**3 - 6*x**2
Expand -2*b + 3*b - 2*b + (3 + 0 - 2)*(b - b + b) + 2 + 2*b - 2 + 9*b + 13*b - 5*b.
19*b
Expand (-4 + 2 + 5)*(6 - 7*c - 6).
-21*c
Expand -5*j**4 + 2*j**4 + 2*j**4 + (-j**3 - 5*j**3 + 4*j**3)*(-2*j + 2 - 2) + 6*j**4 - 6*j**4 - 15*j**4 + 5*j**4 - 2*j**4 - 4*j**4.
-13*j**4
Expand -2 - 4*d + 3 + 2 + 3 - 2*d - 3 + (-d - 2*d + 4*d)*(6 - 3 - 1) - 3*d + 4*d + 0*d.
-3*d + 3
Expand (-1 + 1 - p)*(-5*p + 0 + 0) + 5*p**2 - 3*p**2 + 0*p**2 + 2*p**2 - 1 + 1 + (2*p + 1 - 1)*(0*p - 2*p + 4*p).
13*p**2
Expand 2*z**2 + z**2 + 3*z**2 + (-z + z + z)*(-2 - 2*z + 2).
4*z**2
Expand (-4*y + y + 2*y + (-2 - 2*y + 2)*(-6 + 4 + 4) + 0 - 2*y + 0 + 4*y - 2*y + 0*y - 2*y + 5*y - y + (-6*y + 3*y + 4*y)*(-3 + 9 - 1))*(y + 5*y - 3*y).
6*y**2
Expand 0 + d + 0 + 4*d - 4*d - 2*d + (0*d + 5*d - 2*d)*(0 - 2 - 1).
-10*d
Expand (3 + 3 - 2)*(i**5 + i**5 + i**5) + (-3*i**2 + i**2 + i**2)*(-3*i**2 + 2*i**3 + 3*i**2).
10*i**5
Expand (-1 + 7*w + 3*w - 20*w)*(5*w**3 - 4*w**3 - 3*w**3).
20*w**4 + 2*w**3
Expand (2*x**2 + x**2 + 1 - 2*x**2)*(x - x**2 - x + (168 - 168 - 7*x)*(3*x + 0*x - x)).
-15*x**4 - 15*x**2
Expand (-5 + 6 + 2)*(q**3 - 1 - 2*q**3 + 4*q**3).
9*q**3 - 3
Expand (8 + 0 - 4)*(-4*d + 6*d - 4*d).
-8*d
Expand ((2 + 1 + 0)*(0 - 3 + 5) - 6 + 10 + 3)*(m**3 + m**2 - m**2).
13*m**3
Expand (2*s + 3*s - 3*s)*(-s - s + 0*s) + 53*s + 53*s - 105*s + 2*s**2 + 47.
-2*s**2 + s + 47
Expand ((-b + 5*b - 6*b)*(6 - 5 + 12) - b - 4*b + 3*b)*(-4*b + 0*b + 5*b).
-28*b**2
Expand (2*s**2 + 2*s**2 - 2*s**2)*((-4*s + 0*s + 6*s)*(-s**2 + 3*s - 3*s) + (0 + 2 - 1)*(-20 - 8 + 8)*(0*s**3 - 4*s**3 + 2*s**3)).
76*s**5
Expand (0*h + 3*h - 4*h)*(5 + h**4 - 5 + (h**3 - 4*h**3 + 5*h**3)*(3*h + 3*h - 4*h) + h**4 + 4*h - 4*h + (0*h + 0*h + h**3)*(2*h - 3*h + 0*h)).
-5*h**5
Expand
|
{
"pile_set_name": "DM Mathematics"
}
|
0).
-34
What is -51 + (41 - 59) - -114?
45
What is (3 - (-2 + (-18 - -11))) + -37 + 12 - 83?
-96
What is 61 + (143 - 42 - 207)?
-45
Calculate 1 + 72 + 6 + -3 + -30 + 5 + 19.
70
What is 46 + 26 + (-96 - -50)?
26
25 + (8 - 96) + 182
119
What is (-7 + -8 - -17) + 13 - (-3 - 46)?
64
What is the value of 21 + 4 + (-13 - (73 - 7))?
-54
85 + (-112 - -148) + -86
35
What is the value of 57 - (-8 + -12 + 11 + 0 + 10 + 1)?
55
(-10 - 56 - -85) + -61
-42
Evaluate 30 - (8 - (-22 - -7)) - -21.
28
Calculate 10 - (5 - (-20 + -22)).
-37
Calculate 31 + -35 - ((-1 - (1 - 8)) + 10 + -24).
4
What is the value of (10 - 5 - 78) + (2 - (-14 - -16)) + -8?
-81
(-2 + -33 - -9) + -9 + 8 + -13
-40
Calculate -96 + 55 + -1 + 8.
-34
What is 21 + -59 + (-1 - -69)?
30
Evaluate (-27 - (-6 + -9) - 28) + -17.
-57
Calculate 40 - ((-6 + -8 - -2) + 7 + -5).
50
Evaluate (-3 - (-7 + 71)) + (34 - 14).
-47
-2543 - -2501 - (1 - 117)
74
What is the value of (617 + -580 - (27 - (-1 - -2))) + -1 + -70?
-60
Calculate -14 + -40 + 47 + (45 - -1) + -11.
28
What is the value of -6 + (-11 - (21 + -16)) + 10 - (3 + 64)?
-79
What is the value of (8 + -21 + 5 - 3) + 20 + -82?
-73
((-9 - 6) + -5 - -142) + -28
94
Calculate 28 - (3 + 66 + -101).
60
What is -523 - -629 - (83 + 2)?
21
Evaluate (19 - -1) + -67 + (73 - 36).
-10
Evaluate 70 + (-136 - -94) + 43.
71
-56 - (-2 + 7 - 0)
-61
Evaluate (-22 - -1) + 40 + 22 + -59.
-18
What is 0 + -6 + (-1 - 12 - (-62 + 20 + 25))?
-2
Evaluate 10 - 7 - (-103 - -88).
18
What is 21 + -12 + -26 + 32 + -36?
-21
9 - (13 + -6 + -9 - (46 + -29))
28
1 + (-17 - 1 - (-25 + 60 - 48))
-4
Evaluate -20 + 8 + 20 + -5 + (-12 - -14).
5
-2 + -3 + (-132 - (-13 - 94))
-30
Evaluate -16 + 3 - -10 - (-13 - -20).
-10
Evaluate -20 - -4 - (18 - (2 + 14 - -19)).
1
What is the value of (-9 + 7 - -6) + 5?
9
Evaluate (-49 - 18 - 35) + (11 - 3) - 22.
-116
Calculate (0 - -25 - 47) + -9.
-31
What is 10 - (278 + -246 - (1 - 9)) - 11?
-41
What is the value of (-284 - -309) + (-20 - -2) + -24?
-17
-34 + (-6 - (-14 + 30 + -15))
-41
-7 + (-3 + 7 - (-18 + -2 - -18)) - 134
-135
Evaluate (134 - 23 - 103) + (1 - -23).
32
What is the value of (30 - (34 - (41 - 9))) + -74?
-46
Calculate 221 + (135 - 48 - 234).
74
What is the value of 5 - (44 + (14 - 24))?
-29
Calculate (6 - -37) + -53 - (47 + -1 + 0).
-56
What is the value of 131 - (23 - 13) - (13 - 22) - 6?
124
What is (55 - (-25 - 2)) + -25?
57
(6 - 6 - -3) + -13 + -2 + 53
41
What is 16 + -22 - (0 - -2 - -5) - 18?
-31
Evaluate (-313 - -322) + (2 + -82 - 11 - 3).
-85
Calculate 3 + -3 - ((-28 - -17) + (14 - 2)).
-1
-91 - 0 - (33 - (17 - (-40 + 20)))
-87
Evaluate -40 + -2 + 2 + (22 - (6 - (-29 + 10))).
-43
Calculate -30 + (191 + -197 - (1 - 17)) - -40.
20
What is the value of -4 + 2 + (4 - 2) + (30 + -66 - -23)?
-13
What is the value of 32 - (-11 + -113 + 75)?
81
What is 2 - 5 - -6 - (-533 - -536)?
0
-52 - (32 - (50 - 18) - (4 - 0))
-48
Evaluate (4 - -5) + 36 + -34 + -3 + (2 - 30).
-20
What is -6 + (8 - (39 + -31) - (-2 + 3))?
-7
Calculate (0 + 28 + -14 - 4) + (-2 - -2) - -77.
87
(-5 - (10 + 30 + -34)) + (0 - 0 - 3)
-14
What is the value of -2 - (5 - (-2 - (9 + -1))) - -18?
1
What is the value of -84 - ((-28 - -8) + 24 - 25)?
-63
-9 + 100 - (-254 + 328)
17
Calculate -84 + 21 + -29 + 2 + -18.
-108
1 + 1 + (1 - (-9 - (-34 + 17))) + 45
40
Evaluate (131 - 2) + -6 + (-14 - -21) + -3 + -14.
113
-161 + 43 + 94 - (1 + -4)
-21
Calculate 5 + 4 + 0 + (127 - 96).
40
14 + 15 + (-8 - -11) + -18 + 6
20
Evaluate (19 + -5 - (34 + 24 + -5)) + 5 + -1.
-35
(-9 - 1) + (85 - 1 - ((14 - 118) + 98))
80
What is the value of -5 - ((13 - -21) + -10 + -62 + -5)?
38
Calculate 25 + 5 + (3 - 15) + (6 - (-14 - -11)).
27
What is 1 + (2 - (1 + 16 + (-45 - 0) + 33))?
-2
Evaluate -14 + -30 + 10 + 6 + 24 + 1.
-3
-313 + 235 + (23 - (6 + -7))
-54
What is -3 + -70 - (5895 - 5902)?
-66
What is the value of 67 - (40 + -39 + 40)?
26
-4 + -1 - (43 + -51 - -29) - (14 + -14)
-26
(-111 + 16 + 43 - -119) + (0 - (2 + -8))
73
27 + -76 + 60 + -7 + 9
13
What is the value of (-77 - -66) + 73 - (2 - -20)?
40
-16 - -70 - (19 + 24)
11
What is the value of (14 + 7 - (9 - 3)) + -35 - -49?
29
(37 - 52) + 48 + 50
83
Evaluate 4 - ((5 - 13) + 2 + 4 - 4) - -1.
11
What is the value of 1 + (17 - -59) + -50?
27
Evaluate (-1 - 27) + -57 + (2 - -49).
-34
What is -65 + 38 + 56 + -57?
-28
What is the value of (-12 - (-15 - 0)) + (0 + 1 - 31)?
-27
Calculate 6 + -2 - (1 + 4) - 4 - (6 - 66).
55
What is (-8 + 6 + -3 - -31) + (-5 - -15)?
36
Calculate 1 + 35 + -5 - (-7 + -21 + 4 + 17).
38
Calculate 93 + -83 + 37 + -84 + 133.
96
What is the value of -72 - (5 + -12 + (-7 - (-10 - -7)) - -10)?
-71
What is 16 + (12 - 20 - 26) - -44?
26
Calculate 27 + -66 + 32 + 1.
-6
(-8 - (-22 - 11)) + (23 - 29) + (-5 - -1)
15
Evaluate -643 - -595 - (21 + -5).
-64
What is the value of 4 + (-25 - -17) + 8 + -45?
-41
Evaluate -2 + -2 - (-7 - (-3 + -21)).
-21
What is the value of (2 - -1) + (46 - (-1 - -57)) - 5?
-12
Calculate 144 + 0 + (-2211 - -2125).
58
What is the value of 2 - ((4 - 3) + -66) - (143 + 156 + -302)?
70
Calculate (2 - 7 - ((-7 - -8) + 0 + -8)) + 10.
12
What is the value of -34 + (6 - -51) + (-1 - -2) + 15?
39
Evaluate 2 + -26 - ((145 - 120) + -143) - (0 - 0).
94
What is the value of (-17 - 16) + 40 + -83 + (-5 + 2 - 2)?
-81
What is (37 - 36) + -136 + 42 + (21 - -1)?
-71
What is the value of -32 - (-9 + (-12 - -7 - -7) - -3)?
-28
Calculate (149 - 30) + -123 - ((1 - 0) + 10).
-15
What is -140 - -138 - (-2 - (7 + -8 - (2 + -2)))?
-1
What is the value of -73 + (141 - (12 - -51))?
5
What is -44 - (50 - 59) - -54?
19
What is 28 + 15 + (14 + -16 - 78)?
-37
What is the value of -31 + 20 + 17 + (1 - 9) - 10?
-12
Evaluate (-5 - (-1 - 2) - 58) + (-24 - (-12 + -12)).
-60
What is (-68 - -124 - 63) + -57?
-64
What is 22 - (-4 + 12 + 2 + (1 - 24))?
35
Calculate 383 + -223 - (-21 - -97).
84
-32 - (14 - 42) - (5 - 4)
-5
Evaluate -71 + 76 - (0 - -45).
-40
Calculate 28 - (-5 + 8 + -20 - -35).
10
Evaluate 5 + 4 + 58 - (25 - (2 + 22 + -4)).
62
Evaluate 87 - (84 + (-12 - 1)).
16
What is (59 - (-19 - -13)) + -95?
-30
Calculate (10 - (21 + 9 + -2 + 3)) + 134.
113
What is the value of 29 - (-21 - (-134 - -61))?
-23
What is the value of 17 + -14 + (-11 + 23 - -5) + -2 + -4?
14
21 - (-16 - ((1 - -3) + -15))
26
Evaluate -159 + (-13 + 76 + -10 - 29).
-135
What is (-2 - -4) + -6 - (-16 - -28 - 0)?
-16
Calculate -12 - ((10 - (-28 + 15 - -10)) + -50).
25
Evaluate -38 - (-17 - (4 - (-17 - -32))) - 14.
-46
Calculate -11 + (4 + -25 - (38 + (-152 - -44))).
38
What is 0 + 132 - (17071 - 16830)?
-109
What is the value of (49 - (12 - (35 - -26))) + -8?
90
What is the value of -1 + -2 + (6 - (14 - (14 + -2))) - 29?
-28
What is the value of 49 + -43 - (4 + (-2 - 1) + 27 + -6)?
-16
What is the value of (13 - (8 + 16 + -16 + 6)) + -3 + 1?
-3
Calculate (-3 - 1) + 0 - (-40 + 4 + 20 + -124).
136
What is the value of (10 - -4) + -12 + 12 + -10 + 92?
96
What is -16 + -1 + 6 + -3 + -1 + (24 - 29)?
-20
3 + 41 + -105 + 13
-48
What is -67 + 127 - -32 - 47?
45
Evaluate 7 - (7 - (-22 + 11 + 17 - 16)).
-10
Calculate -63 + (284 - 185) - (39 - 1).
-2
-34 + (4 - (6 + -7 - -9))
-38
What is (117 - 63) + (-3 - 64)?
-13
What is -19 + -22 + 25 + 14 - -10 - 66?
-58
Evaluate 6 - (28 - 29 - -20).
-13
Calculate -14 + -18 + (-12 - (-1 - -9)) + -16.
-68
What is (237 + -116 - 104) + 27?
44
What is 53 + (-72 - (-13 + 3))?
-9
What is 2 + -10 + 29 + (-17 - 20)?
-16
Evaluate -23 + (13 - -28) - (-2 + -10).
30
What is -1 + 99 + (-1363 - -1252)?
-13
What is the value of 66 - (-55 + 33 + 60)?
28
-15 - (6 + (-6 - (-6 - -50)))
29
Calculate -136 - (28 + (37 - (-1 + 83))).
-119
Calculate -29 - (25 + 8 + 12 + -28).
-46
-83 + 14 - -8 - -143
82
(41 + -57 - -23) + -12 - (-48 + 1)
42
(88 - 76) + -13 + -40
-41
Calculate -8 + (-17 + -1 - (218 - 243)) - (-1 - -106).
-106
Evaluate -15 + -1 + -36 + 4 + 59 + -21.
-10
-14 - (-1 + 3 + 69 + -48)
-37
Evaluate (53 - -14 - 71) + -1 + 15.
10
What is the value of 17 + (16 - 67) + 36?
2
What is -1 + 35 + (-25 - -11 - -2) + 25?
47
Evaluate (20 + 14 + -5 - -3) + 6.
38
-88 + 101 - ((-1 - 0) + 68)
-54
What is the value of 9 + -29 + 49 + -23 + (-2 - -52)?
56
(6 - (-3 + 6)) + -70 + (-14 + 5 - -14)
-62
(23 + 7 - (26 + 4)) + -16
-16
What is the value of -5 + -1 + (-1836 - -1945)?
103
Evaluate
|
{
"pile_set_name": "DM Mathematics"
}
|
(m) be the first derivative of -2*m**2 + 5*m - 49. Let q = -251 + 254. Let c(o) = 4*o - 4. Give q*c(y) + 2*f(y).
4*y - 2
Let s(r) = -11*r**3 + 5*r**2 - 5*r - 5. Let x be (-6)/(-10)*((-949)/(-39) + -16). Let d(b) = 104*b**3 - 48*b**2 + 48*b + 48. What is x*d(p) + 48*s(p)?
-8*p**3
Let r(j) = 3*j + 3. Let i(t) = 71*t + 88. Calculate i(s) - 4*r(s).
59*s + 76
Let z(a) = 43*a + 221. Let j(g) = 150*g + 663. Give 2*j(q) - 7*z(q).
-q - 221
Let b(l) = -8*l**2 + 192*l + 67. Let v(o) = 3*o**2 - 88*o - 33. Determine -2*b(c) - 5*v(c).
c**2 + 56*c + 31
Let s be (3 + 167)*-5*3/30. Let n(a) = -15*a + 85. Let x(r) = r - 6. Determine s*x(z) - 6*n(z).
5*z
Let l(w) = -2*w + 15. Let z(k) = -k + 16. Let s(p) = p**3 - 45*p**2 + 233*p + 3. Let n be s(6). Give n*z(t) + 2*l(t).
-t - 18
Let b(n) = -n**3 + 2*n + 19. Let c(x) be the second derivative of -x**3/6 - x**2/2 - 4*x - 309. Give b(j) + 2*c(j).
-j**3 + 17
Let k(s) be the second derivative of 2*s**5/5 - s**4/2 + 17*s**3/6 - 3*s**2 + 190*s + 1. Let w(z) = -23*z**3 + 17*z**2 - 50*z + 17. Determine 17*k(q) + 6*w(q).
-2*q**3 - 11*q
Let t(x) = 3*x + 20. Let z(k) = k + 7. Let o(v) = -13*v**3 + 2*v**2 + 5*v + 11. Let w be o(-2). Suppose q - 116 = -w. Calculate q*t(d) - 8*z(d).
d + 4
Let s = -236 - -239. Let v(u) = 4 - 7 - 1 - s - 3*u. Let l(g) = 2*g + 4. Let m be -3*(-1)/((-3)/10). Calculate m*l(q) - 6*v(q).
-2*q + 2
Let y(i) = -38057*i + 99. Let h(s) = 28543*s - 72. Determine 11*h(q) + 8*y(q).
9517*q
Let t(k) = 6*k**3 - 88*k**2 + 30. Let s(w) = w**3 - w**2 + 2. What is -13*s(j) + t(j)?
-7*j**3 - 75*j**2 + 4
Let z(c) = -161*c + 10. Let g(f) = 189*f - 10. Let u(s) = 6*g(s) + 7*z(s). Let y(n) = 6*n + 9. Calculate 5*u(v) - 6*y(v).
-v - 4
Let r(p) = -852*p**2 - 2*p + 6. Let v(o) = -332280*o**2 - 781*o + 2343. What is 781*r(k) - 2*v(k)?
-852*k**2
Let d(y) = -2313*y + 51. Let h(q) = -4626*q + 85. Give -5*d(b) + 3*h(b).
-2313*b
Let y = 54 - -20. Let w = y + -39. Let q = 47 - w. Let n(x) = x**3 + x - 1. Let k(c) = 9*c**3 + 12*c - 12. Calculate q*n(i) - k(i).
3*i**3
Let d(s) = -5*s**3 + 403*s. Let x(n) = n**3 + 15*n. Give d(g) - 11*x(g).
-16*g**3 + 238*g
Let x be (-3)/5*(6 + -1). Let g(p) = -p**2 - p. Let c(k) = -2*k**2 + 2*k. Calculate x*g(t) + c(t).
t**2 + 5*t
Let b(t) = -6*t - 370. Let g(p) = -7*p - 387. What is -5*b(z) + 4*g(z)?
2*z + 302
Let w(v) = 190*v**2 - 17 + 19 + 3*v - 104*v**2 - 82*v**2. Let t(k) = 17*k**2 + 12*k + 9. Calculate -6*t(s) + 26*w(s).
2*s**2 + 6*s - 2
Let t(l) = -1262*l**2 + 4*l - 8. Let f(g) = 627*g**2 - 2*g + 4. Give 9*f(b) + 5*t(b).
-667*b**2 + 2*b - 4
Let r(c) = 2*c**3 - 3*c**2. Suppose -5*a = -10 + 5. Let u be -3 - (a - (-9)/(-2))*2. Let m(h) = u*h**2 - 20*h**2 - 2*h**3 + 18*h**2. Calculate -3*m(s) - 2*r(s).
2*s**3
Let y(m) be the first derivative of 3/4*m**4 - 81 - 2/3*m**3 + 13*m - 7/2*m**2. Let q(w) = w**3 - w**2 - 3*w + 6. Give -7*q(f) + 3*y(f).
2*f**3 + f**2 - 3
Suppose -132 = 2*c - 112. Suppose -3*l = -2*x + 4*x + 14, -2*x = -3*l + 2. Let w(h) = h**2 - 5*h - 4. Let a(f) = f + 1. Give c*a(d) + l*w(d).
-2*d**2 - 2
Suppose 212 = 3*i + 14. Suppose i + 60 = 6*d. Suppose y - k + 4 = k, 3*k - d = 4*y. Let f(b) = -b + 1. Let l(g) = -7*g + 6. Give y*f(n) + l(n).
-n
Let n(b) = -b**2 + 9*b. Let z(y) = -3*y**2 + 141*y - 18. Give 2*n(o) - z(o).
o**2 - 123*o + 18
Let a(f) = -17*f**3 - 8*f**2 - 10*f + 16. Let w(o) = 88*o**3 + 39*o**2 + 50*o - 84. Give -21*a(k) - 4*w(k).
5*k**3 + 12*k**2 + 10*k
Let l(p) = 30*p - 11 + 6 + 29*p - 56*p + 10*p**2. Let u(c) = 29*c**2 + 8*c - 14. Determine 8*l(x) - 3*u(x).
-7*x**2 + 2
Let c(k) = -2*k**2 + 46*k. Let j(t) = -3*t**2 + 47*t. Suppose -22*z + 21*z - 16 = -2*x, -20 = 3*x + 4*z. Give x*c(n) - 3*j(n).
n**2 + 43*n
Let a(u) = 6*u - 17. Let g be -6*((-9)/(-6))/1. Let n = g + 11. Let p(s) = 5 - 6 + 3*s - n*s - 2. Determine 6*a(o) - 34*p(o).
2*o
Let n(t) = 9*t + 1. Let l(p) = 5*p**2 + 26*p + 103. Calculate l(o) - 3*n(o).
5*o**2 - o + 100
Suppose -146*j - 722 - 300 = 0. Let m(s) = -s**3 + 2*s + 3. Let c(g) = 2*g**3 - g**2 - 4*g - 7. Determine j*m(z) - 3*c(z).
z**3 + 3*z**2 - 2*z
Let b(w) = -35*w**3 + 103*w**2 + 190*w - 57. Let q(o) = -7*o**3 + 20*o**2 + 38*o - 11. Give 6*b(s) - 31*q(s).
7*s**3 - 2*s**2 - 38*s - 1
Let k(r) be the first derivative of -7*r**2/2 - 3*r + 232. Let l(u) = 15 - 3*u - 5 - 11. Calculate 2*k(z) - 5*l(z).
z - 1
Let a(t) = -2*t**3 + t**2 - 3*t + 7. Let i(x) = 2*x**3 - 3*x**2 + 5*x - 14. Let n(d) = 5*a(d) + 3*i(d). Let v(z) = -z**3 - z**2 - 2. Determine 6*n(u) - 21*v(u).
-3*u**3 - 3*u**2
Let h(n) = -n**2 + 7*n. Let c(x) = -x**2 - 2*x + 3. Let b be c(2). Let t(f) = f**2 - 4*f. Let p be 0 - 10/(-15) - 44/12. What is b*t(d) + p*h(d)?
-2*d**2 - d
Let c(y) = 616*y**2 + 32*y. Let a(l) = -56*l**2 - 3*l. Let o be ((-9)/1)/(-36 - -20 - -19). Determine o*c(q) - 32*a(q).
-56*q**2
Let b(k) = 16*k**3 - k. Let u(h) = -74*h**3 - 8*h**2 + 2*h + 3. Determine 4*b(o) + u(o).
-10*o**3 - 8*o**2 - 2*o + 3
Let f(m) = -27*m**3 - 52*m**2 + 6*m + 6. Let l(z) = 9*z**3 + 17*z**2 - 2*z - 2. Determine 4*f(d) + 11*l(d).
-9*d**3 - 21*d**2 + 2*d + 2
Let o(h) = -832*h - 89. Let d(a) = -832*a - 74. What is 6*d(y) - 5*o(y)?
-832*y + 1
Let c(z) = -48*z**3 + 6*z**2 + 6*z + 6. Let m(j) be the second derivative of 49*j**5/20 - 5*j**4/12 - 5*j**3/6 - 5*j**2/2 + 105*j. Determine 5*c(a) + 6*m(a).
54*a**3
Let y(d) = 14*d - 2. Let j(r) = -24*r + 3. Let c(s) = -3*j(s) - 5*y(s). Let h(f) be the first derivative of -2*f**2 - 3*f + 207. Give 7*c(m) + 3*h(m).
2*m - 2
Let q = -1436 - -1447. Let h(v) = -3*v**2 + 6*v. Let w(i) = 8*i**2 - 17*i. What is q*h(f) + 4*w(f)?
-f**2 - 2*f
Let x(n) = 32*n**2 - 46*n - 1377. Let o(j) = -28*j**2 + 41*j + 1378. Determine -9*o(z) - 8*x(z).
-4*z**2 - z - 1386
Let w(l) = 82*l + 175. Let y be w(-10). Let g = -650 - y. Let q(a) = 4*a - 1. Let k(d) = 5*d - 1. Determine g*k(b) + 6*q(b).
-b - 1
Let s(l) be the third derivative of 0 - 2/3*l**3 + 3/20*l**5 + 0*l + 57*l**2 - 7/24*l**4. Let o(c) = 13*c**2 - 10*c - 6. Calculate -5*o(a) + 7*s(a).
-2*a**2 + a + 2
Let g(o) = 3*o**2 - 9*o - 4. Let m = 6127 - 6128. Let u(b) = b + 1. Give m*g(d) - 2*u(d).
-3*d**2 + 7*d + 2
Let p(r) = -3*r + 4 - 7*r - 12 + 4*r + 4*r. Let u(y) = -4*y - 5. Let w(g) = 2*g + 3. Let q(h) = 4*u(h) + 9*w(h). What is 3*p(a) + 4*q(a)?
2*a + 4
Let i(c) = -979*c**2 - 10*c - 2. Let w(a) = -489*a**2 - 6*a - 1. Give -3*i(b) + 5*w(b).
492*b**2 + 1
Suppose -v - 19 = -4*i - i, -5*v + 21 = 4*i. Let u be (72/28)/(6*9/378). Let r(o) = u*o - i + 1 + 21*o - 41*o. Let y(z) = 2*z + 2. What is -3*r(b) - 4*y(b)?
-2*b + 1
Let z(b) = -b**2 - b + 1. Let g be (24/9 - 3)*-18*7/42. Let x(u) = -u**2 + u + 1. Suppose t = -3*t + 4. What is g*x(q) + t*z(q)?
-2*q**2 + 2
Let n(t) = -526641*t**2 + 2094. Let g(j) = -4540*j**2 + 18. Give 698*g(d) - 6*n(d).
-9074*d**2
Let j(v) = -30*v - 3072. Let p(n) = 6*n + 585. Let m(g) = -4*j(g) - 21*p(g). Let s(i) = 7*i - 2. What is -5*m(t) - 4*s(t)?
2*t - 7
Let d(l) = l + 1. Let z(w) = -41 + 6 + 33 - 5*w - 5*w. Let u(q) = q**3 + 6*q**2 + 3*q - 6. Let y be u(-5). Give y*d(v) + z(v).
-6*v + 2
Let x(t) = 3*t**3 + 2*t - 21. Let u(p) = -16*p**3 - 11*p + 106. Suppose 118*d - 190 = -44*d + 1592. Give d*x(q) + 2*u(q).
q**3 - 19
Let s(w) = -3*w + 4. Let l(h) = -6*h + 9. Let y be -7 - (6 - 2)/2. Let d = 145 - 125. Suppose 5*g - 8 = -4*m + 2*m, -d = -5*m + 4*g. Determine m*l(b) + y*s(b).
3*b
Let l(r) = 63*r + 776. Let t(c) = -62*c + 1. Give -l(g) - t(g).
-g - 777
Let b be ((-3)/8 - (-15)/(-120))*8. Let k(g) = g**3 + 3*g**2 + 2*g + 3. Let u(w) = -4*w**3 - 13*w**2 - 9*w - 13. Calculate b*u(a) - 18*k(a).
-2*a**3 - 2*a**2 - 2
Let s(g) = -65*g**3 + 36*g**2 + 24*g**3 - 3 + 21*g**3 - 41*g**2 + 18*g**3 - 3*g. Let v(d) = -3*d**3 - 6*d**2 - 4*d - 4. Give 4*s(j) - 3*v(j).
j**3 - 2*j**2
Let f(g) = -3833*g**3 - 11*g**2 + 6*g + 11. Let i(c) = 1277*c**3 + 4*c**2 - 2*c - 4. Calculate 4*f(h) + 11*i(h).
-1285*h**3 + 2*h
Let a(i) = -3*i**2 + 62*i + 4. Let h(j) = 10*j**2 - 185*j - 13. What is -7*a(q) - 2*h(q)?
q**2 - 64*q - 2
Let r(i) = i - 492. Let d(h) = -h + 487. Give -3*d(k) - 2*r(k).
k - 477
Let l(r) = -45*r**2 - 36*r + 30 + 18*r + 2*r + 16*r. Let i(t) = -t**2 + 1. Determine -30*i(k) + l(k).
-15*k**2
Let z(h) = -128*h + 2. Let t(k) = 125*k - 3. Calculate -2*t(m) - 3*z(m).
134*m
Let w(p) = 10*p - 658. Let c(m) = -5*m + 319. What is 7*c(z)
|
{
"pile_set_name": "DM Mathematics"
}
|
-5.6. Let d = 28/5 + -24/5. Which is the third smallest value? (a) d (b) k (c) -0.4
a
Suppose g - 2*v = -11, 0 = -0*v - 2*v + 10. Let u = 147 + -1027/7. Which is the second smallest value? (a) 3/2 (b) g (c) u
c
Suppose -k = -2*k - 4. What is the smallest value in 1, k, 1/11?
k
Let r = -0.18 + 10.18. Let j be -2 + (-8)/(-6)*18/6. Which is the third biggest value? (a) -0.5 (b) r (c) j
a
Let g = 57 - 52. What is the third smallest value in -12, -0.1, g?
g
Let b(o) = 26*o + 4. Let i be b(3). Let y = i - 740/9. Let c = -19 - -17. What is the second smallest value in y, -3/8, c?
-3/8
Let u = -0.034 + 0.334. Let h = -8 - -11. Which is the third smallest value? (a) u (b) h (c) 1
b
Let z be (-3)/5 + (-1)/(-5). Let x = 43 + -45. Which is the third smallest value? (a) z (b) x (c) 2
c
Suppose 4 + 6 = -2*r. Let v(y) = -y**2 - 3*y + 7. Let u be v(r). Let j = 3.1 + -3. Which is the second biggest value? (a) 1/5 (b) u (c) j
c
Let j be 4/((-12)/(-3)) - 2. Which is the fourth biggest value? (a) j (b) -0.1 (c) -4 (d) 5
c
Let p = -0.4 - -0.8. Let w = -0.3 + p. Which is the second smallest value? (a) -2/7 (b) w (c) -0.1
c
Let q = 5 + -2. Let s = 40 - 38. Which is the third smallest value? (a) -3 (b) s (c) q
c
Let y = 757/11 - 69. Let b be (1/15)/(2/(-3)). What is the third smallest value in y, b, -1?
b
Let y = -20 - -20.2. Let p = -0.6 - -3.6. Which is the second biggest value? (a) p (b) y (c) 2/9
c
Let r = 3.2 - 28.2. Which is the smallest value? (a) 1 (b) r (c) 2/5
b
Let x = -2.4 - -0.4. Suppose 5*l = 3*d + 3, -4*d - 4 = -l - 4*l. Let s = l + 1. Which is the biggest value? (a) 1/4 (b) x (c) s
c
Suppose 5*d = 2*d + 6. Let p be -2 + (7/d - 0). Let s = -5.7 - -6. Which is the smallest value? (a) s (b) p (c) -4
c
Let y = 9 - 10. Let b = 911/44 - 85/4. Let w = 9 - 6. What is the second smallest value in w, b, y?
b
Let g = 7 + -7. Suppose 4 = -g*b - b. Let x be (1/(-2))/((-5)/b). What is the third smallest value in 4, -1/10, x?
4
Let q = -3 + -0.5. Let a = q - -4. Let h = a + 0. What is the third smallest value in -1, h, 1?
1
Let a = -0.039 + 8.239. Let u = a + -8. What is the second smallest value in -2/17, u, 0?
0
Let f = 141 - 140. Let z = -5.09 + 0.09. Which is the third smallest value? (a) 0.3 (b) f (c) z
b
Let s = 0.017 - -2.983. Let y = 0.2 - 0. Which is the biggest value? (a) 0.4 (b) y (c) s
c
Let n = -0.05 - 0.15. Which is the third smallest value? (a) -1/4 (b) -2/7 (c) n
c
Let m be -4 + 3 + (-5)/1. Let k = 11 + m. Which is the second smallest value? (a) -4 (b) -9 (c) k
a
Let w = 49 + -57.1. Let b = w + 8. What is the smallest value in b, 3, 2/5?
b
Let y = 2.4 - -0.6. Let u = -7 + y. Let w = 38 - 35. Which is the third biggest value? (a) w (b) u (c) -3
b
Let c = 0.3 + -0.3. Let y(p) = p**3 - 4*p**2 - 5*p - 3. Let a be y(5). Let f = -0.7 - 1.3. What is the third smallest value in f, a, c?
c
Let o = -4.14 + 0.14. Let h = -86/5 - -17. What is the biggest value in -3/4, o, h?
h
Suppose g + 2*g + 15 = 0. Let t = 58.8 - 59. Which is the second smallest value? (a) g (b) t (c) 1
b
Let y = -15 + 15.4. Let c = 1.2 + -0.2. What is the second smallest value in 3, y, c?
c
Let f = 365/6 - 60. Let n = -23/42 + f. Which is the third biggest value? (a) 0.4 (b) n (c) -0.4
c
Let r = -12.9 + 13. Let i = 2 + -2. Which is the second biggest value? (a) 5 (b) r (c) i
b
Let j = 5 + -3. Suppose 5*y - 6*y + 3 = -5*c, 5*y + 3*c = 15. Let v = -5 + 10. What is the third smallest value in y, v, j?
v
Let f = -0.01 - 0.09. Which is the fourth biggest value? (a) 0.1 (b) 3 (c) f (d) -3/4
d
Let j = 4.58 + 0.42. What is the third smallest value in -3, -2/13, 3, j?
3
Let n = -87 - -85. Which is the fourth biggest value? (a) -2/11 (b) -1 (c) 4 (d) n
d
Let z = 4.08 + -4. Let s = z - -3.92. Let x be 4/6*(-6)/(-8). What is the second biggest value in 5, x, s?
s
Let d = -44/5 + 9. Let u = 8/15 - d. Which is the third biggest value? (a) -3 (b) 3 (c) u
a
Let j = 5 + -3. Let r = 7/20 + -3/4. Let z = 2.5 - 2. Which is the second biggest value? (a) z (b) j (c) r
a
Suppose -2 = 2*k - 0*k, 5*i + 2*k = 3. What is the biggest value in i, -19/4, 5?
5
Let q = 81/44 + -12/11. Let w = q - 5/12. What is the second smallest value in -0.5, w, 1/8?
1/8
Let g = 0.1 - -0.2. What is the second biggest value in g, 0.5, -2/9?
g
Let x = 126 + -124. Suppose 2*g - 1 = 5*t - 3, -5 = 5*g + 4*t. Which is the second biggest value? (a) g (b) x (c) -3
a
Let i = 100 - 502/5. Which is the biggest value? (a) 5 (b) i (c) -3/2
a
Let g(o) = -o**3 + 6*o**2 + 7*o + 6. Let k be (-3)/(-6*1/14). Let i be g(k). Suppose -2 - i = -2*h. Which is the third biggest value? (a) 2 (b) h (c) 5
a
Let w = 136 + -133. Which is the second smallest value? (a) 2/5 (b) 1 (c) w
b
Let y be -15*(3 + (-309)/105). Let o = 0.9 + 0.1. Let v = -3 + o. What is the biggest value in y, 5, v?
5
Let n = 50 + -50. What is the biggest value in n, -5, 1?
1
Let x(f) = f**2 + 2*f - 4. Let n be x(-4). Let l be 10/4*2/20. Which is the second biggest value? (a) l (b) n (c) -1
a
Let d = -3364097/51915 + 1/10383. Let m = d + 65. Which is the third biggest value? (a) m (b) -3/5 (c) 0.5
b
Let z be 1 - (3 - 64/36). What is the third biggest value in 0.1, z, -0.5?
-0.5
Let q = 26.8 + -27. Which is the second biggest value? (a) q (b) -0.5 (c) -1/3
c
Let q = 1 - -3. What is the biggest value in -8, q, 5/2?
q
Let z = -8.14 + 0.14. Let p = -7.6 - z. Let n = p - 4.4. Which is the biggest value? (a) 1 (b) n (c) -5
a
Let r = -509 - -329. Let q be (-42)/r*2/(-28). Let y = -4/15 - q. What is the second biggest value in 5/6, 0.2, y?
0.2
Let b = 10 - 12. Let n be (1/b*4)/2. What is the biggest value in 8, n, 1/10?
8
Let i = 10 - 6. Let w = -8.3 + 8. What is the third smallest value in -0.2, w, i?
i
Suppose 4*k + 2 = 5*k. Suppose k*p - 28 + 8 = -4*q, -2*p = q - 11. Let u = 2 - 4. Which is the second biggest value? (a) u (b) -0.5 (c) p
b
Suppose 4*m = -2*p - 10, 3*p - 5 = -2. Let g = 5 + m. What is the second biggest value in -2/7, g, -4?
-2/7
Let d be 26/(-30) + 3/3. Let y be 2 - ((0 - -2) + -3). Let p be -6*-4*y/(-54). What is the third smallest value in d, 1/4, p?
1/4
Let m = 0.01 - 9.01. Let c = -14 - m. What is the biggest value in -1, 0, c?
0
Let i(x) = x**3 + 5*x**2 + 3*x - 4. Let f be i(-4). Which is the third smallest value? (a) -2 (b) -4 (c) f
c
Let r(q) = -3*q. Let m be r(-2). Let o be (4/m)/(10/45). Suppose -4*j - o = -j. Which is the smallest value? (a) 0.4 (b) 5 (c) j
c
Let r = 1 + 0. Suppose 5*x = 5*g + 30, -4*g + g + 2*x - 17 = 0. Let j = g + r. Which is the biggest value? (a) -1/3 (b) 2/15 (c) j
b
Let c(g) = -g**3 - 3*g**2 + 2*g + 10. Let z be c(-3). What is the third smallest value in 6, z, -1/4?
6
Let x = -4/25 - -14/25. What is the third biggest value in -2, 0.1, x, 2/11?
0.1
Let v = -47733 + 382587/8. Let s = -90 + v. Which is the third biggest value? (a) 5 (b) 0.2 (c) s
b
Let m = -1.3 + 1. Let p = 10.9 - 12. Let z = -1 - p. Which is the second biggest value? (a) 0 (b) z (c) m
a
Let m = -0.41 + 7.21. Let c = m - 7. What is the third biggest value in 4, 0.2, c?
c
Let t = 12 - 0. Let i = t - 9. What is the third smallest value in -2, i, 1/5?
i
Let j = 5 - 7. Let z = -7 + 6. Let y = z + j. What is the third biggest value in y, 1, -4/7?
y
Let s be (-1)/(-10)*(3 - -3). Let k be 135/(-399) - (-4)/14. Let v = k - 55/38. Which is the third smallest value? (a) s (b) -3/4 (c) v
a
Let f(z) = -z - 2. Let v be f(0). What is the biggest value in 1/2, 0, v?
1/2
Let k = -4.92 - 0.08. Let j = 86 + -82. Let z = k + j. What is the biggest value in z, -0.5, 0.1?
0.1
Let f = -27.4 - -27. What is the second biggest value in 4, -3, f?
f
Let s be (2/9)/((-2)/(-25)) + -3. Suppose -3*k = 0, -4*l + 4*k = 6 + 10. Which is the second smallest value? (a) l (b) s (c) 1
b
Let t(x) = x - 10. Let g be t(11). Which is the smallest value? (a) g (b) -1 (c) -2/7
b
Let z be ((-80)/(-45) + -2)*9/(-4). Which is the fourth smallest value? (a) 0 (b) -3 (c) z (d) -5
c
Let n = -0.5 - 0.1. Let q = n - -4.6. Which is the third biggest value? (a) -2/11 (b) -4 (c) q
b
Suppose l + 192 = -l. Let c = l - -387/4. What is the second biggest value in c, -0.5, 2?
c
Suppose -30 = 5*j - 11*j. Whi
|
{
"pile_set_name": "DM Mathematics"
}
|
42 + 2*u**2 - 98*u - 44 - 5*u**2.
-3*u**2 - 98*u - 2
Collect the terms in -116*c + 357*c - 115*c - 120*c.
6*c
Collect the terms in -31369*t + 15684*t + 15682*t.
-3*t
Collect the terms in -12*k + 50*k**2 - 20*k + 23*k - 18*k + 34*k.
50*k**2 + 7*k
Collect the terms in -119*l + 81*l + 26*l.
-12*l
Collect the terms in -15*q - 6 - 24*q + 46*q - 7*q + 2*q**2.
2*q**2 - 6
Collect the terms in -1 - 175534*w + 51851*w - 71342*w.
-195025*w - 1
Collect the terms in 422*j**2 - 138*j**2 - 152*j**2 - 149*j**2.
-17*j**2
Collect the terms in -259*s**2 + 2061*s**2 + 773*s**2 + 457*s**2.
3032*s**2
Collect the terms in -391*b**3 - 771*b**3 + 64*b**3.
-1098*b**3
Collect the terms in -45 - 6*t**3 - 8*t**3 - 11 + 7*t**3.
-7*t**3 - 56
Collect the terms in -53*i + 1 - 1 + 0 - 46*i + 102*i.
3*i
Collect the terms in 1329 - 4012 + 1327 - 2*z + 1356.
-2*z
Collect the terms in -9 + 17*k**3 - 5*k**3 - 3 + 0 + 10.
12*k**3 - 2
Collect the terms in -12958 - t + 6228 + 6730.
-t
Collect the terms in 467599 + 38*f - 34*f - 467599.
4*f
Collect the terms in -148*n**2 - 21*n**2 - 49*n**2.
-218*n**2
Collect the terms in -4*f**2 + 137*f + 114*f + 3*f**2 + 66*f.
-f**2 + 317*f
Collect the terms in 4455*b - 696*b + 2901*b.
6660*b
Collect the terms in -2054*n**2 - 2236*n**2 + 42*n**2.
-4248*n**2
Collect the terms in -205*j**2 - 245*j**2 + 397*j**2.
-53*j**2
Collect the terms in -18 - 22*k + 0 + 0 - 8.
-22*k - 26
Collect the terms in 19*i + 29*i - 48*i - 816*i**2 + 804*i**2.
-12*i**2
Collect the terms in -183*m - 219*m - 254*m - 106*m - 14*m.
-776*m
Collect the terms in 26*l - 8 + 33*l + 19 + l - 14*l.
46*l + 11
Collect the terms in 3*p**2 + 2*p**2 - 90*p**3 - 6 + 2.
-90*p**3 + 5*p**2 - 4
Collect the terms in -65*s + 275*s - 71*s - 70*s - 62*s.
7*s
Collect the terms in 14*c - 14*c + 152656*c**2.
152656*c**2
Collect the terms in 8 - 17 + 4179*i**2 + 9.
4179*i**2
Collect the terms in -430*f**3 - 431*f**3 - 1170*f**2 + 1170*f**2.
-861*f**3
Collect the terms in -13*t**3 + 42*t**3 - 20*t + 130*t**3 + 23*t.
159*t**3 + 3*t
Collect the terms in 31*f**2 + 1608437 - 1608437.
31*f**2
Collect the terms in 300*r**3 - 871*r**3 + 277*r**3 + 265*r**3.
-29*r**3
Collect the terms in -22358523*d - 22358523*d + 2*d**3 + 44717046*d.
2*d**3
Collect the terms in -17*m**2 - 135736 + 135737 + 91*m**2.
74*m**2 + 1
Collect the terms in 2*h + 171*h**2 - 3*h**3 + h**3 - h.
-2*h**3 + 171*h**2 + h
Collect the terms in -5 + 34563*v - 34579*v + 5.
-16*v
Collect the terms in -1974 + 4217 - 2243 + 2*b.
2*b
Collect the terms in -4*n - 10 - 6*n + 1 + 5*n - 5.
-5*n - 14
Collect the terms in 517*i - 177*i - 3 - 170*i - 173*i.
-3*i - 3
Collect the terms in 12821 + 3*q - 12821.
3*q
Collect the terms in 543*s**3 + 464*s**3 - 1008*s**3.
-s**3
Collect the terms in 4*w**2 - 4473*w**3 + 4812*w**3 - 4*w**2.
339*w**3
Collect the terms in 79*z**2 - 8*z**2 - 5*z**2 - 13*z + 175*z**2.
241*z**2 - 13*z
Collect the terms in 201*c + 1 + 2 + 442*c.
643*c + 3
Collect the terms in -95*l - 143*l + 353*l - 109*l.
6*l
Collect the terms in -10120*w**2 - 2519*w**2 - 3690*w**2 + 1995*w**2.
-14334*w**2
Collect the terms in -1207*q + 2421*q - 3 - 3 - 1213*q + 6.
q
Collect the terms in -1718 + 679 + 216*u - 215*u.
u - 1039
Collect the terms in 44*t - 39*t - 18 - 3*t + 13.
2*t - 5
Collect the terms in -1744*t - 1733*t - 1746*t + 6894*t - 1710*t.
-39*t
Collect the terms in -12*h**2 + 43*h**2 - 21*h**2 - 13*h**2.
-3*h**2
Collect the terms in 34*i + 68*i + 30*i - 130*i.
2*i
Collect the terms in 34*c**2 - 22*c**2 - 69*c**2 + 4*c**2.
-53*c**2
Collect the terms in -73*d**3 + 94*d**3 + 100*d**3.
121*d**3
Collect the terms in 66*a - 59*a - 10*a**3 - 7*a.
-10*a**3
Collect the terms in 38*d**3 - 35*d**3 - 98*d + 92*d.
3*d**3 - 6*d
Collect the terms in -774*s + 389*s + 403*s.
18*s
Collect the terms in -8*h**3 + 3*h**3 + 0*h**3 - 30*h**3 - 6*h**3.
-41*h**3
Collect the terms in 208*v**2 + 169*v**2 + 356*v**2 + 33*v**2.
766*v**2
Collect the terms in -6*h - 3434 + h + 12*h + 3434.
7*h
Collect the terms in -29*g + 5*g + 17*g + 2*g.
-5*g
Collect the terms in -164*l**3 - 2*l**2 + 6*l**2 + 344*l**3 + 227*l**3.
407*l**3 + 4*l**2
Collect the terms in 3115492 - 3115492 - 9*b.
-9*b
Collect the terms in -20*g + 40*g - 14*g - 12*g.
-6*g
Collect the terms in 50*g - 8*g - 223*g - 89*g - 92*g.
-362*g
Collect the terms in 34139*w + 51660*w - 6107*w + 14863*w.
94555*w
Collect the terms in -38*t**3 + 24*t**3 + 21*t**3.
7*t**3
Collect the terms in 77 - 20*a**2 - 58 + 12*a**2 + 10*a**2.
2*a**2 + 19
Collect the terms in 197*w**3 - 103*w**3 - 104*w**3.
-10*w**3
Collect the terms in 12*h**2 - 63*h + 28*h + 35*h - 2831*h**3 + 2834*h**3.
3*h**3 + 12*h**2
Collect the terms in -753*b + 496*b - 746*b.
-1003*b
Collect the terms in 1317136605 - 3*z - 1317136605.
-3*z
Collect the terms in -1196*x**3 + 2374*x**3 - 1180*x**3.
-2*x**3
Collect the terms in -228*s - 46*s**3 - 267*s + 495*s.
-46*s**3
Collect the terms in -367*c**2 + 5*c**2 - 244*c**2 - 232*c**2 - 327*c**2.
-1165*c**2
Collect the terms in 1563*v**2 - 759*v**2 - 773*v**2.
31*v**2
Collect the terms in -7243*c**2 - 7268*c**2 + 14516*c**2.
5*c**2
Collect the terms in 489*f + 429*f - 858*f.
60*f
Collect the terms in 3 + 21 + 14 - 24 - 930*n.
-930*n + 14
Collect the terms in -56*u - 1341 + 1341.
-56*u
Collect the terms in t + 0*t + 30*t**3 + t - 16*t**2 + t.
30*t**3 - 16*t**2 + 3*t
Collect the terms in 13*a**2 - 150*a**2 - 4*a**3 - 114*a**2 + 26*a**2.
-4*a**3 - 225*a**2
Collect the terms in -27*a**2 + 6*a**2 + 2*a**2 - 8*a**2 + a**2.
-26*a**2
Collect the terms in -11*r - 4*r + 4*r**2 + 4*r - 9*r.
4*r**2 - 20*r
Collect the terms in -989*w**2 + 221*w**2 + 228*w**2 + 314*w**2 + 227*w**2.
w**2
Collect the terms in 84*k**2 + 42*k**2 + 11*k**2.
137*k**2
Collect the terms in -141*z + 8*z + 55*z + 45*z.
-33*z
Collect the terms in 14*v + 11*v**2 - 5*v**2 - 12*v.
6*v**2 + 2*v
Collect the terms in -34*t + 49*t - 14*t - 39.
t - 39
Collect the terms in 3*t**2 + 3*t**2 - t**2 - 1525*t**3.
-1525*t**3 + 5*t**2
Collect the terms in 1893*z**2 - 633*z**2 - 622*z**2 - 635*z**2.
3*z**2
Collect the terms in -104 + 55 + z**2 + 49.
z**2
Collect the terms in -10*f**2 + 67*f**2 - 59*f**2 - 126*f**2.
-128*f**2
Collect the terms in -1746*t - 1749*t - 1755*t + 5269*t.
19*t
Collect the terms in -98899*l**2 + 32970*l**2 + 32969*l**2 + 2 + 32967*l**2 - 2.
7*l**2
Collect the terms in 1149*s**2 - 2296*s**2 + 1126*s**2.
-21*s**2
Collect the terms in 4910*a + 4636*a - 9546*a + 3*a**2.
3*a**2
Collect the terms in 805*m + 253*m**3 - 251*m**3 - 805*m.
2*m**3
Collect the terms in 653*a - 596*a - 55*a.
2*a
Collect the terms in 955629 - 955629 - 2*l**3.
-2*l**3
Collect the terms in -8*s**2 + 5*s**2 + 0*s**2 - 8*s**2.
-11*s**2
Collect the terms in -7146*b + 1 + 14286*b - 1 - 7142*b.
-2*b
Collect the terms in -88*l + 320*l - 79*l - 83*l - 80*l.
-10*l
Collect the terms in 100*o**3 + 36779*o - 36779*o.
100*o**3
Collect the terms in -668 - a - 592 - a + 1260.
-2*a
Collect the terms in -p**2 - 1 + 1 + 512*p**3 + 2 - 2*p**2.
512*p**3 - 3*p**2 + 2
Collect the terms in -3 + 2*w**2 + 157*w**3 + 3 + 2514*w - 160*w**3.
-3*w**3 + 2*w**2 + 2514*w
Collect the terms in -39379*x**2 + 19685*x**2 + 13*x**3 + 19693*x**2.
13*x**3 - x**2
Collect the terms in 4*f**3 - 4665 + 14*f - 4656 + 9321.
4*f**3 + 14*f
Collect the terms in 133*v**3 + 135*v**3 + 132*v**3 - 411*v**3.
-11*v**3
Collect the terms in -318*o**3 - 305*o**3 + 621*o**3.
-2*o**3
Collect the terms in -102 - 4 + 83*s**2 - 76*s**2.
7*s**2 - 106
Collect the terms in -200 + 42*l**2 + 97 + 103 - 29*l**2.
13*l**2
Collect the terms in -830*x - 26556*x - 39262*x + 10968*x.
-55680*x
Collect the terms in 1237*o**3 - 2429*o**3 + 1220*o**3.
28*o**3
Collect the terms in -3*l**2 + 2258*l + 2266*l - 8*l**2 - 6761*l + 2237*l.
-11*l**2
Collect the terms in -2*s + 11*s + 46*s + 5*s - 50*s.
10*s
Collect the terms in -52 - 808065*m + 808065*m - 2*m**2.
-2*m**2 - 52
Collect the terms in -9*h + 9*h + 33*h**2 - 43*h**2.
-10*h**2
Collect the terms in 11093*h + 20005*h + 25347*h.
56445*h
Collect the terms in 248*l**2 + 265*l**2 - 95*l**2 + 411*l**2.
829*l**2
Collect the terms in 6*c**3 + 3098*c**2 - 6 - 13*c**3 - 3098*c**2.
-7*c**3 - 6
Collect the terms in 29686 - 29686 - 5*r.
-5*r
Collect the terms in 510*a**2 + 1074*a**2 + 456*a**2 - a.
2040*a**2 - a
Collect the te
|
{
"pile_set_name": "DM Mathematics"
}
|
4*g + 16. Is v a composite number?
False
Let y(w) = 170*w**2 - 8*w - 5. Let l be y(-4). Suppose -l = -6*h + 2575. Is h a composite number?
False
Is (6/9)/(16/118488) a prime number?
True
Let x(t) = -63*t + 2. Suppose 4*g + 5 + 7 = -4*f, -5*g - 15 = f. Is x(g) prime?
True
Let h(g) = g**2 + 3*g - 7. Let j be h(-5). Suppose -2*t = -j*m - 2, -3*m = -3*t - 1 - 2. Is -2 + (-161 - 3)/m a prime number?
False
Suppose 0 = -87*y + 99*y - 46788. Is y a prime number?
False
Suppose -h + 12385 = 4*j, 5*h = 2*j - 5*j + 9276. Is j a prime number?
False
Let c be (-6)/((-6)/1 + (6 - 2)). Suppose -5*z + 4 + 1 = 0, 0 = -c*n - z + 3283. Is n a composite number?
True
Let j = -32 + 29. Let s(d) = -6*d - 13. Let r(n) = 5*n + 13. Let h(a) = j*s(a) - 4*r(a). Is h(-17) a composite number?
True
Suppose -n + p - 1254 = -2*n, 0 = -3*n + 4*p + 3797. Is n a prime number?
True
Suppose 0 = -5*u + s - 567, -5*u - s + 3*s - 564 = 0. Let q = 44 - u. Is q a composite number?
True
Let o(d) = -d**2 - 15*d - 49. Let q be o(-7). Let p(s) = 29*s - 5. Let h be p(5). Let v = h - q. Is v prime?
False
Let s(f) be the first derivative of 32*f**3/3 - 7*f**2/2 - 14*f + 42. Is s(5) prime?
True
Let z = -25 - -22. Let u be (-8)/z + (-2)/(-6). Is u/4*3516/3 prime?
False
Suppose -66 + 21 = 5*i. Is -6 - i - (-62 + 0) composite?
True
Let f(j) = -j**3 + 5*j**2 + 5*j - 1. Let v be f(6). Let r(t) = 1 - 1 + 4*t - 2 + 9*t**2. Is r(v) a composite number?
True
Let d(p) = 93*p. Let m be d(-2). Suppose -3 = -i, -2*k + 12 = 4*i - 6. Is k + 0 - m/3 composite?
True
Suppose 4*o - 6*o + z = -23359, 2*o + 3*z - 23339 = 0. Is o a prime number?
True
Let d be (0 + 3)*(1 - (-140)/6). Let f = 142 - d. Is f composite?
True
Let z = -12 + 14. Suppose -z*u - 394 = -3*k, 3*k + 3*u = u + 410. Suppose -2*d + 0*d + 3*p = -134, 0 = 2*d - p - k. Is d a composite number?
False
Suppose -14 = -9*q + 4. Suppose q*v = -r + 4008, -2*v - 3*r = 796 - 4800. Is v a prime number?
False
Suppose -5*f - 10 = -0*f. Is (-97)/(3/(-1) - f) prime?
True
Suppose 0 = -2*y - 0 + 2. Suppose -x - y = -2, -v = 2*x - 6. Is (-1434)/(-10) + v/(-10) a composite number?
True
Let m = -174 - -475. Is m a composite number?
True
Let w(x) be the first derivative of 4*x**3/3 + x**2 + x + 4. Let m be w(-1). Suppose 2*y + 518 = 4*s, -65 + 207 = s - m*y. Is s composite?
False
Suppose 26*j - 182291 = 9*j. Is j prime?
True
Let a = 107 - 230. Let u = 1036 + a. Let l = -408 + u. Is l a prime number?
False
Let k(z) = 78*z**2 - 22*z + 67. Is k(6) prime?
False
Suppose -t = -5*z + 21, -4*t = 3*z - 0*z - 8. Suppose 0*x = -z*x + 172. Let n = x - -28. Is n a composite number?
False
Suppose -7*t + 5207 + 1716 = 0. Suppose -4*v + 5*v - t = 0. Is v composite?
True
Is ((-129175)/(-10) + 0)*(-10 - -12) a prime number?
False
Let w be 9 + 4/(-3 - -2). Suppose -v + 352 = 3*i + 4*v, w*v + 481 = 4*i. Is i composite?
True
Is -7 + (-296)/(-40) - (-106833)/5 composite?
True
Let n(s) = -s**3 + 5*s**2 + 2. Let c be n(5). Suppose -8 = -6*t + c*t. Suppose 0 = -t*p + 469 - 99. Is p composite?
True
Suppose -5*s + 22 = 4*z - 10*s, -3*z - 4*s = -1. Suppose -f - 777 = -3*f - 5*l, 0 = -3*l - z. Is f a prime number?
False
Let q(h) = 152*h - 163. Is q(18) prime?
False
Let r(v) = -v**3 + 5*v**2 + 8*v - 9. Let x be r(6). Suppose x*f = -5*q - 0*f - 2, 14 = -q - 4*f. Suppose -3*t - d = -1441, 6 - q = d. Is t a composite number?
False
Let v be 6 + -5 - (-3)/1. Suppose -c + 0*l = -l, v*c + 21 = -3*l. Let f(u) = -5*u + 6. Is f(c) composite?
True
Let l(h) = 6991*h - 819. Is l(6) a composite number?
True
Let w = 25 - 22. Is 4 + 1 + 388*w prime?
False
Is -25 + 32 + (241 - (3 + -6)) prime?
True
Suppose -9 = -6*l + 3*l. Is (-29)/((9/l)/(-39)) composite?
True
Let d = -58 + 108. Suppose -125 = -5*z - d. Let x = 82 - z. Is x a composite number?
False
Suppose 6*v + 7824 = 3*v. Is v/(-6) + 11/33 - -2 a prime number?
False
Let k = 145 + -249. Let d = -175 - k. Let q = d + 158. Is q prime?
False
Let h(d) be the third derivative of d**6/120 + d**5/6 + d**4/6 + d**3/3 + 3*d**2. Let q be h(-8). Suppose 0*z = -2*z + q. Is z prime?
False
Let t be (-1 - (-15)/10)*(-1 - 133). Let o = 51 - t. Is o prime?
False
Suppose 0 = -5*f + 5*x + 11011 + 8874, -2*f = -x - 7954. Is f a prime number?
False
Let x(m) be the first derivative of 7*m - 4*m + 2 - 3*m - m**2 + m. Is x(-4) composite?
True
Suppose 0*d - 5*h - 903 = 4*d, -5*d - 1107 = -h. Let b = -73 - d. Is b prime?
True
Suppose -4*d = 5*f - 6532 - 1073, -4*d = -20. Is f a composite number?
True
Let c = -10 + 17. Suppose -5*x - 13 = -4*z + c, 0 = -z + 4*x - 6. Is (37/2)/(5/z) composite?
False
Suppose 6*p = 7*p - 6708. Is p/16 + (-1)/4 prime?
True
Suppose 5*a - 55281 = 3*w - 2*w, -2*a = 4*w - 22130. Is a a prime number?
True
Let h be (1/2)/((-1)/(-7 - 3)). Suppose -9*q = -h*q - 1156. Is q a prime number?
False
Suppose 0 = 5*p + 5*x, p - 4*x - 18 - 2 = 0. Suppose -2*d + 5*d = p*t - 1555, -2*t = 4*d - 794. Is t prime?
False
Suppose -5*f + 24 = -51. Is 5 + f/(-5)*-147 composite?
True
Let u be 2/(-4) - 15/(-6). Suppose -4*d + 2782 = -2*b, u*d = 3*d + 3*b - 692. Is d a composite number?
True
Let n(y) = -y**2 + 6*y + 21. Let a be n(8). Suppose -3*s + 34 = j - 71, -a*j + 551 = 2*s. Is j prime?
False
Let s = 2 - 0. Suppose 0 = s*i - 3*n - n - 1402, 2*i = -n + 1377. Is i prime?
True
Let j(q) = -q + 213. Let a be (1/3*0)/(-1). Let l be j(a). Let i = -64 + l. Is i a composite number?
False
Let q(d) = -3 - 10*d**2 - 2*d + 5*d + 1 + 4*d - 2*d**3. Is q(-7) composite?
True
Let g(p) = p**3 + 57*p**2 - p - 10. Is g(11) a prime number?
False
Let q(u) = 26*u**2 - 2*u - 15. Let b be q(9). Suppose -5*r + 4*n + 2155 = 84, -5*r + b = -2*n. Is r composite?
True
Suppose -1769 = -2*r + 989. Is r prime?
False
Is (-221)/39 + 6 - 109796/(-3) a prime number?
True
Let t(l) = 497*l - 3. Suppose 7*m - 4 = 5*m. Is t(m) a prime number?
True
Suppose 0 = -r + 16 - 7. Let q be (-2 - -1)/(r/(-45)). Suppose -660 = -q*n - 5*o, -2*o + 3*o + 122 = n. Is n prime?
True
Suppose 0 = -t + 9 - 6. Suppose 2*n + 3133 - 1030 = 3*o, -n = -t*o + 2103. Is o a prime number?
True
Let v(y) be the first derivative of y**3 - 7*y**2/2 + 10*y - 10. Let t be v(-12). Suppose -2*a + t = 3*s - 7*a, 3*a - 319 = -2*s. Is s prime?
True
Let z be (-1)/(-1 + 3/6). Suppose -4*f - 646 = -z*y, -2*f + 5*f - 12 = 0. Is y composite?
False
Suppose 4*h - 18 = 7*h. Let j be 34/8*(-792)/h. Suppose -14*k + j = -11*k. Is k prime?
False
Let p be (25975/45 - 0) + 4/(-18). Let r = -14 + p. Is r prime?
True
Suppose 8 = -4*z - 4*r, z - 3*z - 16 = -r. Let h(x) = -17*x - 3. Let y(l) = -9*l - 1. Let s(p) = 4*h(p) - 7*y(p). Is s(z) a prime number?
False
Let j(a) be the second derivative of a**3/3 + 69*a**2/2 + 10*a - 9. Let q = 0 + 0. Is j(q) composite?
True
Let q = -27 - -33. Suppose -11*x + 275 = -q*x. Is x prime?
False
Let u be 21/(4 + -1) - 1. Suppose u*n - n + 25 = 0. Let v(b) = -11*b. Is v(n) composite?
True
Suppose 5*s = -f + 1272, -1220 = -f + 4*s + 61. Is f a composite number?
False
Suppose 0 = 6*d - d - 610. Let i = 59 - d. Is 2*(i/(-2) + 2) a composite number?
False
Suppose -4680 = 4*d - 9*d. Let q = d - 215. Is q prime?
False
Is 5*((-7614)/(-30) - -3) - 1 a prime number?
True
Let v(q) = 4*q - 18. Let b be v(5). Suppose b*n = 5*n + 4*z - 2997, -2*z = -6. Is n a prime number?
False
Suppose 0*p + 5*n = 5*p + 45, -3*n = -9. Let u be p*4/(-8)*1. Suppose -4*m + 3*s + 391 = 0, -5*s + 114 + 172 = u*m. Is m a composite number?
False
Let f(q) = -1232*q + 673. Is f(-8) a prime number?
True
Let p(b) = -3*b + 18. Let k be p(8). Is 8/k*3/(-2) + 555 a composite number?
False
Let o(c) = -385*c + 48. Suppose 2*n = -10*n - 60. Is o(n) prime?
True
Suppose 18*j - 21*j + 12 = 0, 2*z + 4*j = 12822. Is z a composite number?
True
Let v be (-6 - -1)*(-7 - 109). Suppose -2 + 4 = p. Suppose 0 = p*x + 2*x - v. Is x prime?
False
Let f(t) = -24*t - 5 - 5*t + t. Suppose -2*v - 2 = 0, 2*p + 4*v + 22 = -p. Is f(p) a composite number?
False
Let d(p) = -p**3 + 23*p**2 - 8*p - 127. Is d(17) a prime number?
True
Suppose -3*m = -6*t - 21579, 11*m = 12*m - 5*t - 7190. Is m a prime number?
False
Let p be 36/10*76740/18. Is (-2)/(-10) + 11/(110/p) a prime number?
False
Let s(n) = -2*n + 11. Let v be s(3). Suppose -b - v*o - 375 = -988, -4*o = 16. Is b a prime number?
False
Suppose -615*t - 4673 = -616*
|
{
"pile_set_name": "DM Mathematics"
}
|
lve 2*t - 3*l - 8 = 0, -t + 2 + 0 = -l for t.
-2
Solve 0 = -2*b + 4*b - 3*n - 25, 10 = -3*b - 5*n for b.
5
Solve 0 = 5*f - 3*y + 22, 30*f = 29*f - 2*y + 6 for f.
-2
Solve -3*t - 15 = 3*k, 4*k - t = -3*t - 12 for k.
-1
Solve 5 = 2*c - m, -3*c = -5*m + 6*m for c.
1
Solve 0 = -m + 3*z + 13, 30 = 4*m - 2*z + 8 for m.
4
Solve 0 = -5*r + 13*q - 8*q - 10, -17 = -2*r - 5*q for r.
1
Solve 5*o + 5 = 4*b, -o - 1 = 2*b - 4*b for b.
0
Solve i + 11 = -i + m, -5*m = -3*i - 34 for i.
-3
Solve 6*i - 3*i - 4 = 4*w, -5 = 5*w - 5*i for w.
-1
Solve 3*h + 21 = 3*c, 6*c - 4*c - 11 = h for c.
4
Solve 6*r - 7 = -b + r, 0 = -3*b + 2*r - 13 for b.
-3
Solve i + n + 9 = 0, -6*i - 13 = -i - 3*n for i.
-5
Solve -5*d = -d + q + 12, 0 = -4*d + 2*q for d.
-2
Solve 3*q = m - 0*m + 14, -q = -5*m for m.
1
Solve 5*w + 13 = -2*l, 7*w + l - 7 = 9*w for w.
-3
Solve 4*j + 4 = 5*c, 4 = 2*c - 6*j + 5*j for c.
4
Solve -3*c - 17 = 2*u, -29*u - 21 = 3*c - 26*u for c.
-3
Solve 5*f = -5*q + 10, 142*f - 146*f = 2*q - 4 for f.
0
Solve 0 = r + 3*w + 12, 14 = -4*r - 5*w + 1 for r.
3
Solve 0 = 3*j + 3*s - 5*s - 13, -2*j = 2*s - 12 for j.
5
Solve -4*a - 2*z = 4, a - 3 + 14 = -3*z for a.
1
Solve 3*o - 25 = -4*k, o - 2*k + 5 = -0*k for o.
3
Solve 5*z - 5*b - 11 = 3*z, -4 = -z + 2*b for z.
-2
Solve -j + 15 = -4*z, -35*j = -38*j - 4*z - 3 for j.
3
Solve -35 = -3*b - 5*u, 4*u - 2*u - 28 = -4*b for b.
5
Solve 0 = -6*d + d + 2*k + 3, -3*d - 5*k - 23 = 0 for d.
-1
Solve -l + 1 = -a, -3*a - 3 = 10*l - 9*l for l.
0
Solve 3*w - 13 = 2*b, 0*w = -w + 3*b + 2 for w.
5
Solve 5*x = -2*y + 35, 0*y - 3*y = 2*x - 25 for y.
5
Solve 24 = -3*m + 5*k, 11*m - 3*k = 9*m - 15 for m.
-3
Solve 0 = 3*k + 3*q, k = 2*q - 0*q + 9 for k.
3
Solve 30*x - 35*x = c + 8, -4 = 2*x for c.
2
Solve 2*t + 5*b - 5 = 0, -2 - 4 = -2*b for t.
-5
Solve 2*u = -3*z - 0 + 1, 0 = -4*z - 4*u + 8 for z.
-3
Solve 32 = -4*g - 4*q, 0 = -24*g + 22*g + 3*q + 4 for g.
-4
Solve -4*z - 29 = 3*q + 2, 10 = -2*q for z.
-4
Solve -2*v - f = -3, -5*v - 9*f = -4*f - 20 for v.
-1
Solve -4*z + 32 = -4*s, 5*z = -s + 12 + 4 for s.
-4
Solve -y - 18 = 5*n, 4*y + 3*n + 9 = -12 for y.
-3
Solve -4*z + 6*z - 20 = 4*p, -20 = 3*p - 4*z for p.
-4
Solve -y = 5*w + 22, 0*y = -3*y - 4*w - 22 for y.
-2
Solve -4*d + 4*s = 29 - 61, 4*d = 2*s + 24 for d.
4
Solve -5*w = 46*u - 44*u - 24, u - 2 = 0 for w.
4
Solve 0 = -26*j + 22*j + 4*q - 8, 0 = -3*q + 12 for j.
2
Solve 5*h - 25 = -g, -6*h + 11*h - 25 = 3*g for g.
0
Solve -3*i + 20 = -5*h, 3*i + 8*h = 10*h + 17 for i.
5
Solve 0 = -3*i + 2*b - 9, 5*i + 13 = 9*b - 5*b for i.
-5
Solve z + 9 = -2*l + 6, 5*z + 5 = 0 for l.
-1
Solve -3*t - 7 = -2*n, -9*n + 10*n = -4*t - 2 for t.
-1
Solve -2*p - 3*k + 4 = 0, 4*p - 8 = -5*k - 0 for p.
2
Solve 4*x + 22*u + 24 = 24*u, -2*x + 3*u - 16 = 0 for x.
-5
Solve -j - f = 9, -4*f + 54 = -4*j + 58 for j.
-4
Solve v - 4*z + 20 = 4*v, -2*v - 3*z + 15 = 0 for v.
0
Solve 0 = 4*b - 4*m - 24, -9 = -b + 5*m + 5 for b.
4
Solve -f + 3 = 2*a, -5*a = 7*f - 2*f - 15 for f.
3
Solve -2*w - 2*t = -4*t + 10, w - 15 = -3*t for w.
0
Solve 0 = 4*n - 2*y, 0 = -2*n - 7*y + 2*y for n.
0
Solve -3*d + 2 = -l + 3, 3*d - 2*l = 4 for d.
-2
Solve 3*w - o = 8, -12 = -4*w - 2*o + 3*o for w.
4
Solve 4*z = 4*t + 16, 0 = 5*t - 2*z + 8 for t.
0
Solve 0 = b - 3, -10*l - 15 = -7*l - 5*b for l.
0
Solve -4*o - 5*p = 3 + 25, 5*p + 10 = 5*o for o.
-2
Solve -2*o = 4*l + 18 + 10, -o + 4*l = -22 for o.
-2
Solve 5*d = -k - 102 + 122, -2*d - 2*k = 0 for d.
5
Solve 3*u + 11 = 2*a, -5*u - 4*a + 23 - 12 = 0 for u.
-1
Solve 24 = -x + 5*h, 4*h + 7 = 2*x + 25 for x.
1
Solve -4*u - i = 3*i + 8, 4 = -4*u - 3*i for u.
2
Solve -2*h - d - 9 = 0, h + 12 = -3*d - 5 for h.
-2
Solve g - 2 = n + 1, g - 4*n - 18 = 0 for g.
-2
Solve -4*x + 16 = -5*i + 3, 3*x = -3*i + 3 for x.
2
Solve 0 = -5*o + 4*i - 40, -i = 4*o - 3*i + 26 for o.
-4
Solve 3*y + 1 = -4*t - 25, -5*y - 4*t - 30 = 0 for y.
-2
Solve 2*m - 37 = 5*o - 55, 0 = 5*o - 20 for m.
1
Solve 3*o - 6*n + 7 = -n, n = 4*o + 15 for o.
-4
Solve 5*u + 87 - 71 = -f, 0 = 5*f + u - 16 for f.
4
Solve o - 1 = -3*w + 13, -3*w + o + 4 = 0 for w.
3
Solve -6*d + 18 = -7*d - 4*b, 3*d - 6 = 3*b for d.
-2
Solve -2*i + 5*d - 19 + 6 = 0, 3 = d for i.
1
Solve 2*b + 6*l - 11*l - 7 = 0, 5*l = -15 for b.
-4
Solve -1779*m + 1775*m = -h - 14, -m + 4*h = 4 for m.
4
Solve -2*i + 2*z - 8 = 0, 5*z - 5 - 11 = 4*i for i.
-4
Solve -3*x - 8 = g, -7*g - 3*x - 6 = -4*g for g.
1
Solve 2*h - 3*h + 5*u = -25, 4*h - 4*u - 20 = 0 for h.
0
Solve -3*f - 5*i - 14 = -1, 3*i = 5*f - 1 for f.
-1
Solve 2*j + 2*j - 8 = -4*y, -2*y = 5*j - 7 for y.
1
Solve o + 5*r - 12 = -38, r = 4*o - 1 for o.
-1
Solve 4*x + 3*i = -28, -2*x - 4*i + i - 20 = 0 for x.
-4
Solve -3*s = -283*z + 285*z + 17, 5*z = 5*s - 5 for z.
-4
Solve 0 = s + 3*w, 6*s - 3*s - 2*w = 0 for s.
0
Solve -2*y = -5*r - 17, 34*y + 16 = 35*y - 4*r for y.
-4
Solve 20 = 6*g - g + 3*p, 4*g - 16 = -4*p for g.
4
Solve k + 17 = 3*g + 2*k, 2*g = k + 3 for g.
4
Solve 2*r = 3*w - 5, 2*w = -4*r + 1 + 13 for r.
2
Solve -4 + 0 = 5*m - 4*g, -2*m + 4*g - 4 = 0 for m.
0
Solve -o = -23*c + 18*c + 7, 15 = 5*o for c.
2
Solve -m - 2*h + 7 = 0, 1 = m - h - 3 for m.
5
Solve -2*z + 8 = 2*p, 2*z + p = -2*p + 7 for z.
5
Solve -20 = -5*j - 13*q + 8*q, -30 = -5*j + 5*q for j.
5
Solve 5*h = -0*h + 4*c - 33, h = -3*c + 1 for h.
-5
Solve 5*w = -2*x + 6, 4*x - 2 - 10 = -5*w for w.
0
Solve -g = 2*f + 9 - 5, 4*f + 5*g = -8 for f.
-2
Solve -f + 4 = -5*a, -9*a + 20 = -11*a + 5*f for a.
0
Solve 0 = -3*x - 3*n, 5*x = 2*x - 2*n + 5 for x.
5
Solve -8*u = 4*j - 13*u - 27, -3 = u for j.
3
Solve 0 = 2*o + 2*o + 4*t + 8, 3*o + 5*t = -6 for o.
-2
Solve n - k + 7 = 0, n + 2*n + 17 = k for n.
-5
Solve -5*c - 5*m = -25, 3*c - 15 = 4*m - 0*m for c.
5
Solve 5*t = 3*q + 20, q - 2*t - 3*t = -20 for q.
0
Solve 0 = 4*p, -3*b - 3*p = -8*p - 3 for b.
1
Solve -4*l - 2 = 4*c - 6, 4*l - 5*c + 23 = 0 for l.
-2
Solve q - 7 = -3*i, i + 3*q + 3 = -0*q for i.
3
Solve 13*r - 2 = 14*r + 3*a, -2*r - 3*a - 4 = 0 for r.
-2
Solve 5*t - 4*m = 35, -2*t - 3*m - 9 = -0*m for t.
3
Solve 9*d - z + 1 = 7*d, -17 = 4*d + z for d.
-3
Solve -4*c - 5*m - 1 = -9, 2*c - 4 = -2*m for c.
2
Solve -4*z = 2*b - 10, 3*z - b = 4*z - 1 for z.
4
Solve 63*p + 8 = 67*p, y + 5*p = 5 for y.
-5
Solve -3 = -2*k - j, -2*k + 5*j + 9 = -12 for k.
3
Solve 2*q = -3*p - 9, 3*p + 13 = -4*q - 2 for p.
-1
Solve 3*w = -t - 15, 2*t + w + 5 = 3*t for t.
0
Solve 4*x - j - 15 = x, 5*x + 4*j = 8 for x.
4
Solve -3*m + p + 11 + 0 = 0, -5*m + 4*p + 9 = 0 for m.
5
Solve -23 = 2*t + 5*m - 15, -5*m + 16 = -4*t for t.
-4
Solve -12*m - 27 = -8*m - 5*d, -d + 3 = 0 for m.
-3
Solve -u = -93*l + 88*l + 10, 5*l = -3*u - 10 for u.
-5
Solve 17*t - 18*t + 10 = 2*k, 3*k - 15 = 3*t for t.
0
Solve 2*d = 14*f - 9*f, 0 = 5*d - 4*f for d.
0
Solve -4*j - 22 = 5*u + 7, 4*u = 4*j - 16 for j.
-1
Solve 6 = 5*z - 2*h, -2*h - 3*h = 4*z - 18 for z.
2
Solve -3*m + 12 = 3*c, -c = 4*c - 5 for m.
3
Solve 3*w + 0*q - 13 = -q, -5*w - 5*q = -25 for w.
4
Solve -2*w = -c + 8, -13 = -w + 2*c - 20 for w.
-3
Solve 0 = 3*d - 2*m - 5, 7*d - 5*d + 5*m + 22 = 0 for d.
-1
Solve 19*z - 16*z - 4*m = -10, -2*m = -4*z for z.
2
Solve -3*o - g = -19, 0 = -3*o - 2*o + 2*g + 17 for o.
5
Solve -2*f - v = -f + 6, 6 = -4*f + 5*v for f.
-4
Solve -3*p = 7 + 2, 5*f - 15 = 5*p for f.
0
Solve -2*l - 24*f + 12 = -20*f, 15 = l + 5*f for l.
0
Solve x = -f + 7, 2*f + 3*x = 3 + 14 for f.
4
Solve -p + w = 0, 4*p - p = -4*w + 28 for p.
4
Solve 0 = q - 4, -2*q - 2 = 2*k for k.
-5
Solve 10 = -v + 5*s, 2*s - s + 19 = -4*v for v.
-5
Solve 5*s - 25 = -a, 0 = -5*s - a - 3*a + 40 for s.
4
Solve 3*p + 36 = -p - 5*h, -3*p + 3*h = 0 for p.
-4
Solve 5*t + 2*c = -19, 10 = -2*c - 3*c for t.
-3
Solve -3*j - x + 18 = 0, -2*j + 5 = 2*j - 5*x for j.
5
Solve -y = -1, 3 = -3*i + 6*i - 3*y for i.
2
Solve -3*l + 7*l - 3*j = -15, -5*l + j - 16 = 0 for l.
-3
Solve 0 = 4*d + 8, 4*h - d = -33 + 19 for h.
-4
Solve 4*k - 16 = -4*x, 0 = -2*k + 5*x - 48 + 35 for k.
1
Solve 5*t + 3*g + 24 = 0, 4*g + 3 = 3*t - 0*t for t.
-3
Solve -8 = 4*y + 4, 5*y = 5*s + 5 for s.
-4
Solve -5*w - 7 = -3*m, 4*m = -w - 5 + 22 for w.
1
Solve 23*h - 19*h = -5*j - 20, 3*j - 4*h - 20 = 0 for j.
0
Solve 14 - 24 = -3*f - r, -14 = -5*f - r for f.
2
Solve -3*t - d = 11, 2*d = -4*t - 7 - 7 for t.
-4
Solve -5*x = -n - 6, 2 = 5*n - 18 for x.
2
S
|
{
"pile_set_name": "DM Mathematics"
}
|
many minutes are there between 5:08 PM and 4:50 AM?
702
What is 154 minutes after 9:21 AM?
11:55 AM
How many minutes are there between 4:25 PM and 12:41 AM?
496
What is 703 minutes before 10:35 AM?
10:52 PM
What is 402 minutes before 3:40 AM?
8:58 PM
How many minutes are there between 3:49 PM and 3:58 PM?
9
What is 505 minutes after 11:29 PM?
7:54 AM
How many minutes are there between 7:03 PM and 4:33 AM?
570
What is 710 minutes after 7:40 PM?
7:30 AM
How many minutes are there between 4:07 AM and 3:27 PM?
680
What is 331 minutes before 8:46 PM?
3:15 PM
How many minutes are there between 3:36 AM and 9:21 AM?
345
How many minutes are there between 1:22 AM and 11:21 AM?
599
What is 543 minutes before 4:39 AM?
7:36 PM
What is 244 minutes after 2:25 AM?
6:29 AM
What is 359 minutes after 10:00 PM?
3:59 AM
How many minutes are there between 2:41 PM and 11:31 PM?
530
What is 456 minutes before 2:53 PM?
7:17 AM
How many minutes are there between 4:42 PM and 7:22 PM?
160
How many minutes are there between 4:52 AM and 5:51 AM?
59
How many minutes are there between 8:02 PM and 10:17 PM?
135
What is 238 minutes before 4:11 PM?
12:13 PM
How many minutes are there between 12:06 AM and 10:13 AM?
607
What is 296 minutes after 11:56 PM?
4:52 AM
What is 410 minutes after 11:30 PM?
6:20 AM
How many minutes are there between 10:36 AM and 6:49 PM?
493
What is 667 minutes after 4:58 AM?
4:05 PM
How many minutes are there between 10:25 PM and 6:49 AM?
504
How many minutes are there between 5:03 AM and 2:36 PM?
573
What is 223 minutes before 2:26 PM?
10:43 AM
How many minutes are there between 8:31 PM and 6:36 AM?
605
How many minutes are there between 1:56 PM and 6:49 PM?
293
How many minutes are there between 3:14 PM and 1:32 AM?
618
What is 657 minutes after 1:00 AM?
11:57 AM
What is 50 minutes after 3:22 AM?
4:12 AM
How many minutes are there between 12:29 PM and 3:07 PM?
158
How many minutes are there between 12:47 PM and 3:37 PM?
170
How many minutes are there between 1:10 AM and 3:00 AM?
110
What is 277 minutes after 7:36 AM?
12:13 PM
What is 14 minutes after 11:46 PM?
12:00 AM
What is 289 minutes after 3:39 AM?
8:28 AM
What is 63 minutes after 10:20 PM?
11:23 PM
How many minutes are there between 1:57 PM and 1:51 AM?
714
What is 410 minutes after 11:00 AM?
5:50 PM
How many minutes are there between 8:53 AM and 4:41 PM?
468
How many minutes are there between 4:26 PM and 6:21 PM?
115
What is 132 minutes before 4:40 PM?
2:28 PM
How many minutes are there between 10:44 PM and 1:19 AM?
155
How many minutes are there between 6:46 PM and 12:03 AM?
317
How many minutes are there between 3:16 AM and 8:26 AM?
310
How many minutes are there between 1:55 AM and 7:37 AM?
342
How many minutes are there between 8:27 AM and 12:10 PM?
223
How many minutes are there between 1:13 PM and 5:33 PM?
260
What is 41 minutes before 11:35 AM?
10:54 AM
How many minutes are there between 12:37 PM and 1:21 PM?
44
What is 419 minutes after 1:15 AM?
8:14 AM
How many minutes are there between 9:46 AM and 10:37 AM?
51
How many minutes are there between 8:47 AM and 2:53 PM?
366
How many minutes are there between 12:26 AM and 4:36 AM?
250
How many minutes are there between 1:03 PM and 10:59 PM?
596
What is 202 minutes before 9:40 AM?
6:18 AM
What is 291 minutes before 8:08 PM?
3:17 PM
How many minutes are there between 8:23 AM and 11:02 AM?
159
How many minutes are there between 9:04 AM and 9:40 AM?
36
What is 670 minutes after 11:22 PM?
10:32 AM
What is 41 minutes before 3:10 PM?
2:29 PM
How many minutes are there between 9:10 PM and 10:00 PM?
50
How many minutes are there between 3:05 PM and 8:29 PM?
324
How many minutes are there between 1:09 PM and 4:31 PM?
202
What is 678 minutes after 11:20 AM?
10:38 PM
How many minutes are there between 12:29 PM and 7:17 PM?
408
How many minutes are there between 4:26 PM and 12:27 AM?
481
What is 466 minutes after 11:24 PM?
7:10 AM
How many minutes are there between 10:50 AM and 11:49 AM?
59
What is 12 minutes after 6:43 PM?
6:55 PM
How many minutes are there between 7:09 AM and 11:39 AM?
270
What is 366 minutes after 9:26 AM?
3:32 PM
What is 141 minutes after 5:46 PM?
8:07 PM
How many minutes are there between 2:37 AM and 1:29 PM?
652
What is 160 minutes before 12:28 PM?
9:48 AM
How many minutes are there between 8:59 AM and 5:49 PM?
530
How many minutes are there between 10:35 PM and 3:18 AM?
283
What is 166 minutes before 7:08 PM?
4:22 PM
What is 591 minutes before 1:55 PM?
4:04 AM
What is 710 minutes before 10:30 PM?
10:40 AM
What is 514 minutes after 8:41 AM?
5:15 PM
What is 459 minutes before 5:58 PM?
10:19 AM
How many minutes are there between 6:35 AM and 4:03 PM?
568
What is 110 minutes before 9:22 AM?
7:32 AM
How many minutes are there between 8:26 PM and 4:28 AM?
482
How many minutes are there between 8:13 PM and 7:50 AM?
697
What is 643 minutes before 2:53 AM?
4:10 PM
What is 689 minutes before 11:45 PM?
12:16 PM
How many minutes are there between 8:15 AM and 8:27 AM?
12
What is 166 minutes after 8:40 AM?
11:26 AM
What is 44 minutes before 9:20 PM?
8:36 PM
How many minutes are there between 10:23 PM and 3:54 AM?
331
What is 321 minutes after 9:39 PM?
3:00 AM
How many minutes are there between 5:55 PM and 8:29 PM?
154
How many minutes are there between 1:50 PM and 10:57 PM?
547
How many minutes are there between 11:13 AM and 6:41 PM?
448
What is 160 minutes after 2:59 AM?
5:39 AM
What is 404 minutes after 5:12 PM?
11:56 PM
What is 473 minutes before 10:12 PM?
2:19 PM
What is 69 minutes before 3:43 PM?
2:34 PM
What is 186 minutes after 11:20 PM?
2:26 AM
How many minutes are there between 9:00 AM and 11:45 AM?
165
What is 171 minutes after 9:32 PM?
12:23 AM
How many minutes are there between 5:53 PM and 2:45 AM?
532
What is 641 minutes after 11:10 AM?
9:51 PM
How many minutes are there between 4:40 AM and 9:42 AM?
302
How many minutes are there between 2:58 AM and 5:59 AM?
181
What is 568 minutes after 9:35 AM?
7:03 PM
How many minutes are there between 10:34 PM and 4:46 AM?
372
How many minutes are there between 3:39 AM and 2:46 PM?
667
What is 611 minutes before 1:10 AM?
2:59 PM
How many minutes are there between 6:14 AM and 8:09 AM?
115
How many minutes are there between 12:39 AM and 2:21 AM?
102
How many minutes are there between 8:05 PM and 10:40 PM?
155
What is 707 minutes before 11:32 AM?
11:45 PM
How many minutes are there between 6:59 AM and 10:54 AM?
235
What is 424 minutes before 1:53 AM?
6:49 PM
What is 704 minutes after 1:35 PM?
1:19 AM
How many minutes are there between 7:23 AM and 1:51 PM?
388
What is 708 minutes before 6:28 AM?
6:40 PM
How many minutes are there between 7:52 AM and 1:36 PM?
344
How many minutes are there between 5:28 PM and 4:46 AM?
678
How many minutes are there between 7:31 AM and 6:46 PM?
675
How many minutes are there between 4:30 AM and 5:11 AM?
41
What is 98 minutes before 12:05 PM?
10:27 AM
What is 322 minutes after 5:47 PM?
11:09 PM
What is 664 minutes after 1:52 PM?
12:56 AM
What is 289 minutes after 7:18 AM?
12:07 PM
What is 430 minutes after 11:51 PM?
7:01 AM
What is 454 minutes before 9:49 PM?
2:15 PM
How many minutes are there between 7:47 PM and 5:30 AM?
583
How many minutes are there between 12:54 PM and 12:37 AM?
703
How many minutes are there between 8:48 AM and 2:15 PM?
327
How many minutes are there between 9:35 AM and 10:42 AM?
67
What is 504 minutes after 7:29 AM?
3:53 PM
How many minutes are there between 1:11 AM and 3:33 AM?
142
How many minutes are there between 7:10 AM and 8:01 AM?
51
How many minutes are there between 1:49 AM and 3:05 AM?
76
How many minutes are there between 4:57 AM and 7:21 AM?
144
What is 82 minutes after 10:49 AM?
12:11 PM
What is 252 minutes after 7:13 PM?
11:25 PM
What is 679 minutes before 10:30 AM?
11:11 PM
What is 597 minutes before 5:29 PM?
7:32 AM
What is 609 minutes after 3:34 AM?
1:43 PM
What is 264 minutes before 10:00 AM?
5:36 AM
What is 238 minutes after 7:07 PM?
11:05 PM
What is 627 minutes after 9:35 PM?
8:02 AM
What is 126 minutes after 11:10 PM?
1:16 AM
How many minutes are there between 5:45 AM and 8:41 AM?
176
How many minutes are there between 8:43 PM and 11:34 PM?
171
How many minutes are there between 4:42 AM and 3:18 PM?
636
How many minutes
|
{
"pile_set_name": "DM Mathematics"
}
|
**2 - 4*x - 2. Let y(c) = 2*c**3 + 3*c**2 - 3. Let z be y(-2). Let m(w) = -w - 3. Let b be m(z). What is the least common multiple of 8 and o(b)?
56
Suppose 1081 = 3*d + 5*p, 5*d + 6*p - 9*p = 1745. What is the smallest common multiple of 224 and d?
2464
Suppose 0 = 5*m, -o + 160 = o + m. What is the common denominator of 169/o - (-2)/10 and ((6/(-15))/1)/(64/(-1180))?
16
Let f = -26 - -75. Suppose n + 43 = f. Calculate the lowest common multiple of 8 and n.
24
Let d = 2/9797 + 519223/88173. Find the common denominator of -23/18 and d.
18
Calculate the common denominator of -19/8 and (8 - 76/8)/((-411)/(-47)).
1096
Suppose 2*i = 5*h + 26 - 4, -4*h = -5*i + 21. Suppose n - 5 = -i. Suppose p + 0*p - 1 = 5*v, -n*v - 14 = -3*p. What is the least common multiple of p and 18?
18
Let c(u) = u**3 - 3*u**2 - 19*u + 14. Calculate the lowest common multiple of c(6) and 917.
7336
Let m be 12/14*(-14)/(-3). Suppose 0 = 2*a + 4*f - 72, -155 = -a - m*a - 5*f. Suppose -s = 4 - a. What is the least common multiple of s and 6?
66
Find the common denominator of -19/77 and (1 - 66/(-105)) + 10/35.
385
Let d = -186 + 190. Calculate the least common multiple of 598 and d.
1196
Let r = 11 + 385. What is the least common multiple of 264 and r?
792
Suppose -4*i - 40 = -4*q, -30 = -4*q - i + 30. Let z = -5 + 10. Suppose -5*n + 29 = z*u + 4, 15 = 5*n. What is the lowest common multiple of u and q?
14
Let z(y) = y**3 - 13*y**2 + 16*y - 30. What is the least common multiple of 36 and z(12)?
36
Let s(f) = 21*f - 54. What is the smallest common multiple of 66 and s(4)?
330
Let f = 153/28 - 2417/140. Find the common denominator of 16/11 and f.
55
Suppose 0 = -5*v - 51 + 71. Suppose 100 = 5*k - v*j, 4*j + 28 = 2*k - 0*k. What is the lowest common multiple of 4 and k?
24
Let z = 28 + 1. Suppose 46 = 5*s - z. Calculate the least common multiple of 33 and s.
165
Suppose -5*r + 7*r - 38 = 0. Suppose -17*h + r*h = 0. Suppose -x = -h*x - 11. What is the least common multiple of x and 2?
22
Let n be 2212/(-16) - 9/12. Let t = n - -535/4. What is the common denominator of t and -83/2?
4
Suppose -83 = 5*a - 43. What is the smallest common multiple of (-134)/(-16) + 3/a and 3?
24
Let w = 40 - 36. Calculate the smallest common multiple of 5 and 3/((1/w)/((-1)/(-6))).
10
Let u(q) = -q**2 - 6*q + 33. Find the common denominator of -73/4 and u(-11).
4
Find the common denominator of 1515/(-42) + (-3)/7 and 12/115.
230
Let l(c) = c**3 - 13*c**2 + 14*c - 16. What is the least common multiple of (-31 + 9)*(-1)/(4/8) and l(12)?
88
Suppose -4*f - 2*d + 160 = 0, -5 + 125 = 3*f + 3*d. Calculate the smallest common multiple of 31 and f/(-4)*1/(-2).
155
Let p = 87 - 85. Suppose 0 - 10 = -p*l. Calculate the smallest common multiple of l and 4.
20
Suppose -79*z - 6006 = -92*z. Calculate the smallest common multiple of 22 and z.
462
Let u = 12 + -6. Let q(p) = -2*p**2 - 4*p - p - 2*p**3 - 4 - p + 5*p. What is the least common multiple of q(-2) and u?
6
Let d be -3*(-3 - 69/(-9)). Calculate the common denominator of 37/14 and ((-87)/d)/(30/(-21)).
140
Let v(l) = -l**2 - 5*l + 7. Suppose -6 + 17 = d. What is the smallest common multiple of v(-5) and d?
77
Let p(z) = -z**3 + 5*z**2 + 3*z + 2. Let d be p(6). Suppose 0 = 2*h - 4*u + 4, 4*u = -2*h + h - 8. Calculate the lowest common multiple of 6 and 1*12/(d/h).
6
Let b be (-34)/(-12) + 3/18. Let h = b - 9. What is the lowest common multiple of 6 and (h/9)/((-6)/27)?
6
Suppose -20 = -5*k - 15. Suppose -g + 2*g + 5*t + k = 0, -5*t = 10. What is the common denominator of -27/10 and g?
10
Let n = 12 - 2. Suppose -4 = -q + n. What is the lowest common multiple of 8 and q?
56
Let n = -2717/4 + 654. What is the common denominator of 77/46 and n?
92
Let u(g) = -6*g - 6. Let p be u(5). Let d be ((-3)/p)/(15/(-1418931)). Let i = d + 7886. Calculate the common denominator of -103/20 and i.
20
Let m = 927 - 4614/5. Find the common denominator of m and 6/2 - 62/3.
15
Let q = -1438/1931061 - -3/1793. Let a = q + -15439/2154. Find the common denominator of 79/8 and a.
24
Let c = 41558960407/3729710952 + 4/4709231. Let i = 23/99 + c. Calculate the common denominator of -89/18 and i.
72
Let c = -1924/5 + 15227/40. Let h = 2789/355 - 4/71. Calculate the common denominator of h and c.
40
Suppose -3*l + 12 = -2*l. Suppose -3*j = -2*b + 7*b - 51, 5*b - 63 = j. Calculate the least common multiple of l and 16/3 + b/18.
12
Let b = 2 - 2. Suppose 2*k + b*k - 14 = 0. Suppose 110 = 8*q + 6. What is the least common multiple of q and k?
91
Let q = 5910/13 + -117537/260. Let l be ((-1)/(-2))/((-1)/(-30)). Calculate the common denominator of q and (1/l)/(2/(-111)).
20
Let j = -6234 + 99801/16. Calculate the common denominator of 2/(-6) - 349/60 and j.
80
Suppose 2*r + 4*c = -3*r + 13937, 2*c + 13919 = 5*r. Let a = -44483/16 + r. Find the common denominator of -74/9 and a.
144
Let y = 1159 - 336109/290. Calculate the common denominator of -95/174 and y.
870
Suppose -4*f - 64 = m - 145, 236 = 3*m + 5*f. Calculate the smallest common multiple of 35 and m.
385
Suppose 195 = 4*s + s. Suppose 5*a - s = -4*o + 2*o, 3*o + 3*a - 63 = 0. Let d = o - 2. Calculate the smallest common multiple of d and 2.
20
Let t = -1329 + 1569. What is the smallest common multiple of 14 and t?
1680
Suppose -x - 6 = -3*d + x, 5*x + 6 = 3*d. Suppose -2*o + 4 = -16. What is the least common multiple of o and d?
10
Let u = 7781483/175 + -44469. Let m = -44/25 + u. What is the common denominator of (24/132)/((-2)/5) and m?
77
Let c = -7010 + 11390. Let u be c/(-16) - (-2 - -4). Let n = -274 - u. What is the common denominator of n and -3/4?
4
What is the common denominator of 53/200 and ((-142)/(-5))/((-10)/(-25) - 2)?
200
Suppose -2*l - 10 + 46 = 0. Let v(m) = -m**3 - 15*m**2 - 28*m + 12. Let w be v(-13). Let j = w - l. Calculate the smallest common multiple of j and 22.
220
Suppose -k + 5*r + 30 = 0, 4*k + 3*r = 6*k - 32. Calculate the least common multiple of (-4 + (-1 - -3))/(-1) and -6*(2 - k/3).
8
Suppose h - 3*k + 9 = 0, 18*h - 13*h = k + 25. Suppose -f + 12 = 1. What is the least common multiple of f and h?
66
Let k be -5 + (-1)/(1/(-49)). Suppose 8 = -k*n + 48*n. Calculate the smallest common multiple of n and 11.
22
Find the common denominator of (100 - 5)/(141 - -1) and 82/15.
2130
Suppose 8*j - 199 = 817. Let o = 130 - j. What is the smallest common multiple of 3 and o?
3
Let s = -84 + 90. Let o(v) = 3*v**2 - 8*v. Let l(y) = -y**2 - 1. Let z(w) = -2*l(w) - o(w). What is the lowest common multiple of 5 and z(s)?
70
Let i = -28/93 + 4837/930. Find the common denominator of i and 8 - (-3)/((-567)/2030).
270
Suppose 4*g - 3*g - 4*r - 2 = 0, 3*g + 5*r = 23. Suppose 4*q - 2*y = 24, -69*q = -71*q + 3*y + 12. Calculate the smallest common multiple of g and q.
6
Suppose l - 62 = 2*u, 2*l + 4*u + 22 = 178. What is the least common multiple of 20 and l?
140
Let w = -4335038/1989 + 28338/13. What is the common denominator of 5/57 and w?
2907
Let b(g) = 1 + 3 - 5 + 2*g**2 + 5*g + 2*g. Suppose 3*j = -2*j + 50. What is the smallest common multiple of j and b(-5)?
70
Let j be 5/1 - (0/(-1) + -2). Suppose -c = -j + 5. Calculate the smallest common multiple of 106 and c.
106
Let b be 1*-4*(-4)/((-52928)/(-12)). Let f = b + 50327/33080. What is the common denominator of -61/8 and f?
40
Let o be 89205/(-5810) + 4 + 4. Let m = o - 2/581. Calculate the common denominator of -65/6 and m.
42
Calculate the common denominator of (-579)/252 + ((-56)/49)/4 and 17/1110.
2220
Suppose 2*l - 5*w - 46 = 0, 2*w - 136 = -5*l + 37. What is the least common multiple of 18 and l?
198
Let b = -3 - -3. What is the common denominator of b + ((-71)/(-30) - -1) and 1020/(-40)*(-1)/3?
30
Let m be ((4 - 5) + 3)/2. Let h(t) = -t. What is the smallest common multiple of h(-6) and (18/(-12))/(m/(-28))?
42
Suppose 4*n - n + 3*a = -36, -4*n - 54 = a. Let p = n + 21. What is the lowest common multiple of 10 and p?
70
Let n = 4329/5 - 17761/20. Suppose -h + 838 = -2*h. What is the common denominator of n and h/36 + 12/(-54)?
4
Suppose -16 = q - 2*g, -3*q - g - 4 = 9. Find the common denominator of (-149)/q - 12/9 and ((-23)/(-3))/((-3)/(-6)).
6
Let x = -57 - -101. Let k = 62 - x. What is the least common multiple of 4 and k?
36
Let r = -325 + 337. Calc
|
{
"pile_set_name": "DM Mathematics"
}
|
rest ten?
-60
Round -19.6785 to 1 dp.
-19.7
Round 0.96 to the nearest integer.
1
What is -0.2206 rounded to two decimal places?
-0.22
What is 0.08474 rounded to 3 decimal places?
0.085
Round 4527000 to the nearest one hundred thousand.
4500000
What is -0.00011766 rounded to 4 dps?
-0.0001
What is 1555.8 rounded to the nearest ten?
1560
Round -0.00012056 to 5 dps.
-0.00012
Round 0.09645 to 1 decimal place.
0.1
What is -671.68 rounded to the nearest one hundred?
-700
Round 0.00081 to three decimal places.
0.001
Round -0.005415 to 4 decimal places.
-0.0054
What is 84380000 rounded to the nearest 1000000?
84000000
Round 0.84833 to 1 dp.
0.8
Round 3.677 to one decimal place.
3.7
Round -0.0001895 to 5 decimal places.
-0.00019
Round 0.0091562 to 3 decimal places.
0.009
Round -18120 to the nearest 1000.
-18000
What is -5.6806 rounded to one dp?
-5.7
What is 2545900 rounded to the nearest ten thousand?
2550000
What is -1355.91 rounded to the nearest 10?
-1360
What is -0.0019337 rounded to four dps?
-0.0019
What is 0.008683 rounded to 4 dps?
0.0087
What is 103.54 rounded to the nearest integer?
104
Round -145811000 to the nearest 1000000.
-146000000
What is -3250000 rounded to the nearest one million?
-3000000
Round 40.52 to the nearest integer.
41
What is -3.61 rounded to the nearest integer?
-4
Round -108810 to the nearest one thousand.
-109000
What is 0.0000001349 rounded to 7 dps?
0.0000001
Round 0.00000152 to six dps.
0.000002
What is -28.14 rounded to zero dps?
-28
What is 1503300 rounded to the nearest one hundred thousand?
1500000
What is 0.125792 rounded to three decimal places?
0.126
What is 2173800 rounded to the nearest ten thousand?
2170000
What is 0.0000034754 rounded to 6 decimal places?
0.000003
What is -33.4 rounded to the nearest 10?
-30
What is 10093800 rounded to the nearest 100000?
10100000
Round 81.8 to the nearest integer.
82
Round -19050000 to the nearest 1000000.
-19000000
Round -752200 to the nearest one hundred thousand.
-800000
Round 0.4206 to two dps.
0.42
What is 0.0004541 rounded to 5 dps?
0.00045
What is 34820 rounded to the nearest ten thousand?
30000
What is -0.000009275 rounded to seven dps?
-0.0000093
What is -48.08 rounded to the nearest integer?
-48
What is -0.0451 rounded to two decimal places?
-0.05
Round 1629100 to the nearest one hundred thousand.
1600000
What is -605 rounded to the nearest 100?
-600
What is 20.65 rounded to the nearest integer?
21
Round 0.01247 to four decimal places.
0.0125
What is -0.000002666 rounded to seven dps?
-0.0000027
What is -3.7978 rounded to 2 decimal places?
-3.8
What is 7247 rounded to the nearest one hundred?
7200
Round 2430 to the nearest 10000.
0
What is -0.0112201 rounded to five dps?
-0.01122
What is 0.2538 rounded to 3 decimal places?
0.254
Round -38911000 to the nearest one hundred thousand.
-38900000
What is -0.29932 rounded to three decimal places?
-0.299
What is 7.151 rounded to 0 decimal places?
7
Round 0.0002442 to 4 dps.
0.0002
What is -3.36 rounded to one dp?
-3.4
Round -1161400 to the nearest ten thousand.
-1160000
What is 23108 rounded to the nearest 1000?
23000
Round 3356000 to the nearest 100000.
3400000
What is -0.005503 rounded to 4 dps?
-0.0055
Round 0.00001525 to six dps.
0.000015
Round 0.008274 to three dps.
0.008
Round -0.0042936 to 3 decimal places.
-0.004
Round -0.0001131 to 6 decimal places.
-0.000113
Round -3080400 to the nearest 10000.
-3080000
What is -5708.1 rounded to the nearest one hundred?
-5700
What is -2061090 rounded to the nearest 10000?
-2060000
What is -0.60135 rounded to two dps?
-0.6
What is -0.3754 rounded to 2 dps?
-0.38
What is 10370000 rounded to the nearest one hundred thousand?
10400000
What is -13209 rounded to the nearest 1000?
-13000
What is 0.0000076894 rounded to 6 decimal places?
0.000008
Round 119252 to the nearest ten thousand.
120000
What is -25.696 rounded to the nearest integer?
-26
Round 0.69659 to 1 decimal place.
0.7
Round -0.06254 to two decimal places.
-0.06
What is -637.4 rounded to the nearest 100?
-600
Round 3.66 to the nearest integer.
4
Round -0.0000034355 to 6 dps.
-0.000003
What is 3376 rounded to the nearest one thousand?
3000
Round -0.009645 to 3 dps.
-0.01
What is -20.254 rounded to 0 decimal places?
-20
What is -0.0000008588 rounded to seven decimal places?
-0.0000009
What is -0.0000499908 rounded to six dps?
-0.00005
Round -7590000 to the nearest 100000.
-7600000
What is -0.3909 rounded to two decimal places?
-0.39
Round -0.7655 to one dp.
-0.8
Round 0.000225 to four dps.
0.0002
Round 0.00000272 to six decimal places.
0.000003
What is -0.05298 rounded to 3 dps?
-0.053
What is 873.56 rounded to the nearest 100?
900
What is 6580000 rounded to the nearest 1000000?
7000000
What is -0.000952 rounded to 4 dps?
-0.001
Round -0.00000867 to 6 decimal places.
-0.000009
Round 0.336 to one dp.
0.3
Round 32803 to the nearest 100.
32800
What is 0.000031749 rounded to 7 decimal places?
0.0000317
What is -160708 rounded to the nearest one thousand?
-161000
What is 1205000 rounded to the nearest one hundred thousand?
1200000
What is -658.23 rounded to the nearest 10?
-660
Round 0.0066521 to 5 dps.
0.00665
Round -10300 to the nearest 10000.
-10000
What is -0.0000008825 rounded to seven decimal places?
-0.0000009
What is 0.0003042 rounded to 5 decimal places?
0.0003
What is -0.00000879 rounded to 6 dps?
-0.000009
What is 6907.4 rounded to the nearest one hundred?
6900
What is 1844100 rounded to the nearest 100000?
1800000
What is -23135000 rounded to the nearest one hundred thousand?
-23100000
Round 0.00000704 to seven decimal places.
0.000007
Round -14.82 to the nearest integer.
-15
What is 12.061 rounded to the nearest integer?
12
Round -0.512 to 1 dp.
-0.5
What is -0.000979 rounded to five dps?
-0.00098
What is -38.18 rounded to 1 dp?
-38.2
What is 383530 rounded to the nearest 10000?
380000
What is -11.2023 rounded to 1 dp?
-11.2
What is -8356000 rounded to the nearest 100000?
-8400000
Round 18876 to the nearest 1000.
19000
What is 0.00000555936 rounded to 7 decimal places?
0.0000056
Round 0.000001205 to five decimal places.
0
Round -1.969 to 1 decimal place.
-2
What is -0.000244 rounded to 6 decimal places?
-0.000244
Round 0.00016192 to 4 decimal places.
0.0002
Round -768 to the nearest ten.
-770
What is -0.20449 rounded to one decimal place?
-0.2
What is 1397.47 rounded to the nearest 10?
1400
Round -0.000585 to 4 decimal places.
-0.0006
Round 6.25 to one decimal place.
6.3
Round -0.000059361 to seven dps.
-0.0000594
Round -0.066556 to two dps.
-0.07
Round -32150 to the nearest one hundred.
-32200
Round -30.48 to the nearest integer.
-30
Round -2704000 to the nearest one hundred thousand.
-2700000
Round -61745 to the nearest 100.
-61700
What is 328200 rounded to the nearest 10000?
330000
What is 18031000 rounded to the nearest 100000?
18000000
What is 0.000020165 rounded to 7 dps?
0.0000202
What is 213400 rounded to the nearest 1000?
213000
Round -0.00000341 to 6 dps.
-0.000003
What is -1.06307 rounded to two dps?
-1.06
What is 0.0000067653 rounded to 7 dps?
0.0000068
What is 5594 rounded to the nearest one thousand?
6000
What is 0.0000365 rounded to 5 decimal places?
0.00004
Round -0.00001522 to seven decimal places.
-0.0000152
Round 0.007391 to four dps.
0.0074
What is -285700 rounded to the nearest ten thousand?
-290000
What is -7.075 rounded to 2 dps?
-7.08
Round 444.46 to 0 decimal places.
444
Round 0.00308146 to 5 decimal places.
0.00308
Round 0.15206 to one dp.
0.2
Round 254900 to the nearest one hundred thousand.
300000
What is 19890000 rounded to the nearest one million?
20000000
Round 5236 to the nearest 100.
5200
Round 79806 to the nearest 1000.
80000
What is -0.000010786 rounded to seven dps?
-0.0000108
Round -42429000 to the nearest 1000000.
-42000000
Round 222.225 to the nearest 10.
220
Round -0.004263 to four dps.
-0.0043
What is -0.000123824 rounded to six decimal places?
-0.000124
Round -0.550849 to two dps.
-0.55
What is -31090 rounded to the nearest 1000?
-31000
Round 0.009404 to 3 dps.
0.009
What is -0.059199 rounded to two dps?
-0.06
What is -19798000 rounded to the nearest one hundred thousand?
-19800000
Round -0.00020022 to five decimal places.
-0.0002
What is 184040 rounded to the nearest
|
{
"pile_set_name": "DM Mathematics"
}
|
s picked without replacement from {o: 2, q: 10, i: 3, n: 3}.
45/272
Calculate prob of picking 2 x when two letters picked without replacement from xxmxxxxgxxxxx.
55/78
Two letters picked without replacement from {l: 1, u: 1, e: 1, j: 1, x: 1}. What is prob of picking 1 j and 1 e?
1/10
Three letters picked without replacement from mmbbbqbmbmb. Give prob of picking 1 b and 2 m.
12/55
Two letters picked without replacement from xwwwwxw. What is prob of picking 2 w?
10/21
Two letters picked without replacement from {e: 4, v: 4, b: 2, r: 5}. What is prob of picking 2 v?
2/35
Three letters picked without replacement from ikiibibikiiir. What is prob of picking 1 b, 1 r, and 1 k?
2/143
Two letters picked without replacement from {y: 6, k: 4}. What is prob of picking 1 k and 1 y?
8/15
Two letters picked without replacement from zzdedzdzdzddzd. What is prob of picking 1 z and 1 d?
6/13
What is prob of picking 1 d and 3 x when four letters picked without replacement from {d: 2, x: 4}?
8/15
Calculate prob of picking 1 d and 1 j when two letters picked without replacement from {y: 1, j: 7, d: 2}.
14/45
Calculate prob of picking 1 i, 1 n, and 1 w when three letters picked without replacement from {w: 3, v: 3, n: 3, i: 3, g: 1, s: 1}.
27/364
Three letters picked without replacement from {c: 3, o: 3, p: 1, u: 2, f: 1}. What is prob of picking 3 c?
1/120
Three letters picked without replacement from {v: 2, b: 1, g: 8, s: 2}. Give prob of picking 2 s and 1 g.
4/143
Calculate prob of picking 3 c when three letters picked without replacement from ccseeccs.
1/14
Two letters picked without replacement from gbbbpubbgbgbpgs. What is prob of picking 1 b and 1 u?
1/15
Two letters picked without replacement from {i: 6, g: 3, a: 1, p: 4}. Give prob of picking 1 i and 1 g.
18/91
What is prob of picking 2 c and 1 b when three letters picked without replacement from {c: 6, b: 4}?
1/2
Calculate prob of picking 3 r and 1 g when four letters picked without replacement from {r: 3, z: 3, y: 4, g: 4}.
4/1001
Calculate prob of picking 2 o and 2 h when four letters picked without replacement from {o: 6, h: 12}.
11/34
Calculate prob of picking 1 k and 3 w when four letters picked without replacement from izwpppzkwixwxpkpp.
1/1190
What is prob of picking 2 y, 1 n, and 1 p when four letters picked without replacement from {n: 5, p: 1, w: 6, y: 2, s: 1, t: 1}?
1/364
Three letters picked without replacement from {t: 2, j: 7, k: 5}. What is prob of picking 2 k and 1 j?
5/26
Four letters picked without replacement from {k: 2, x: 5, h: 3, f: 3, c: 2}. Give prob of picking 2 f and 2 k.
1/455
Two letters picked without replacement from {r: 7}. What is prob of picking 2 r?
1
Four letters picked without replacement from vvvvvssvvsvvssvvvv. Give prob of picking 3 v and 1 s.
143/306
Two letters picked without replacement from {o: 4, d: 3}. What is prob of picking 1 o and 1 d?
4/7
What is prob of picking 2 z when two letters picked without replacement from zzlzlzzzzzzzzzlz?
13/20
Four letters picked without replacement from ojojoofojj. What is prob of picking 3 o and 1 f?
1/21
Four letters picked without replacement from syptspk. What is prob of picking 1 k, 2 s, and 1 p?
2/35
Three letters picked without replacement from {b: 3, p: 3, r: 2, w: 4, q: 4, o: 1}. Give prob of picking 1 q and 2 r.
1/170
Calculate prob of picking 1 l and 2 a when three letters picked without replacement from {l: 4, a: 2}.
1/5
Calculate prob of picking 2 f when two letters picked without replacement from yxyyxxxxxfxxfxxfxxx.
1/57
Two letters picked without replacement from bxgxxjjxgjxjxxx. Give prob of picking 2 g.
1/105
Three letters picked without replacement from aafmvfaffjffjvm. What is prob of picking 3 a?
1/455
What is prob of picking 1 h, 1 l, and 2 k when four letters picked without replacement from {k: 2, h: 2, g: 1, l: 1}?
2/15
What is prob of picking 2 x when two letters picked without replacement from {s: 1, q: 1, p: 2, x: 2, h: 8}?
1/91
Two letters picked without replacement from iiilxiixxxlxxxll. Give prob of picking 1 l and 1 x.
7/30
Four letters picked without replacement from ooovooovoovovo. Give prob of picking 1 o and 3 v.
40/1001
Two letters picked without replacement from iiyiyggiiiiieiiegiie. What is prob of picking 2 g?
3/190
What is prob of picking 2 d when two letters picked without replacement from ddwddddwwdddwwhwddd?
22/57
Calculate prob of picking 3 p when three letters picked without replacement from {a: 2, y: 6, p: 10}.
5/34
Calculate prob of picking 1 u and 1 n when two letters picked without replacement from {e: 7, u: 2, n: 2}.
4/55
Three letters picked without replacement from {d: 9, i: 9}. What is prob of picking 2 i and 1 d?
27/68
What is prob of picking 1 i and 3 q when four letters picked without replacement from miqm?
0
What is prob of picking 1 q and 2 w when three letters picked without replacement from qwqwwwq?
18/35
Two letters picked without replacement from {r: 3, n: 1, g: 2, f: 1, d: 7}. What is prob of picking 1 d and 1 f?
1/13
What is prob of picking 1 e, 1 d, and 2 h when four letters picked without replacement from {e: 6, i: 3, k: 1, f: 4, d: 1, h: 3}?
1/170
Four letters picked without replacement from {c: 1, h: 10, l: 1, s: 1, d: 1}. What is prob of picking 1 s, 1 c, 1 d, and 1 h?
10/1001
What is prob of picking 1 n, 1 z, and 1 x when three letters picked without replacement from dzznxznddy?
1/20
Four letters picked without replacement from tgieitgwn. Give prob of picking 2 w and 2 i.
0
Calculate prob of picking 2 k and 1 v when three letters picked without replacement from vkuullu.
0
What is prob of picking 3 t and 1 h when four letters picked without replacement from tteeettettetttehte?
2/51
Three letters picked without replacement from iiowooooiioooioio. What is prob of picking 1 o and 2 i?
15/68
Two letters picked without replacement from {t: 5, e: 13}. Give prob of picking 2 e.
26/51
Three letters picked without replacement from {b: 1, t: 2, i: 1, k: 2, a: 2}. Give prob of picking 2 k and 1 a.
1/28
Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, x: 3, b: 1}.
1/7
Four letters picked without replacement from rrrhvrprrrrpmhrhra. Give prob of picking 1 r and 3 a.
0
Calculate prob of picking 1 h and 1 a when two letters picked without replacement from jaxxxxxxxihhxiiixh.
1/51
Four letters picked without replacement from accignacagfiaac. Give prob of picking 1 g, 1 a, and 2 i.
2/273
Four letters picked without replacement from bxbbxxhbbxbxbxb. What is prob of picking 1 h and 3 x?
4/273
Three letters picked without replacement from vcvvvcvccvv. Give prob of picking 2 c and 1 v.
14/55
Calculate prob of picking 1 j and 1 b when two letters picked without replacement from jwebekxexewj.
1/33
Four letters picked without replacement from {h: 3, z: 3, l: 1, g: 5}. Give prob of picking 1 l, 2 h, and 1 z.
1/55
Two letters picked without replacement from vvnvn. What is prob of picking 2 v?
3/10
Three letters picked without replacement from {t: 1, h: 1, o: 1, b: 1, y: 3}. What is prob of picking 1 b, 1 t, and 1 y?
3/35
What is prob of picking 2 n, 1 a, and 1 c when four letters picked without replacement from annocoaoano?
3/110
Four letters picked without replacement from zzooozozozoooooo. What is prob of picking 1 o and 3 z?
11/182
What is prob of picking 1 s, 1 h, and 1 a when three letters picked without replacement from {a: 5, h: 4, s: 6}?
24/91
Four letters picked without replacement from hhhhhhhhhhhxhxhx. What is prob of picking 4 h?
11/28
Three letters picked without replacement from {g: 2, z: 7}. What is prob of picking 3 z?
5/12
What is prob of picking 1 o, 1 a, and 1 g when three letters picked without replacement from aggggogrgaga?
21/220
What is prob of picking 1 c and 1 s when two letters picked without replacement from {o: 4, c: 1, z: 2, u: 1, s: 1}?
1/36
Two letters picked without replacement from bffggffbbgfggfgffbgg. Give prob of picking 1 b and 1 f.
16/95
Two letters picked without replacement from grkgkkkgrkukukrkkk. Give prob of picking 1 k and 1 u.
20/153
What is prob of picking 2 r when two letters picked without replacement from {v: 2, e: 2, r: 2, n: 3}?
1/36
Three letters picked without replacement from undddgonnodud
|
{
"pile_set_name": "DM Mathematics"
}
|
u = u - 5*q - 11. Let d(j) = -j**2 - 2*j - 7. Let n(m) = -m + 0*m - 1285*m**2 + 1284*m**2 - 6. Let p(g) = u*d(g) - 4*n(g). Give p(2).
3
Let j(y) be the third derivative of y**5/15 + 5*y**4/24 + 7*y**3/3 + 3*y**2. Let m(u) = u**2 + 2*u + 5. Let x(t) = 2*j(t) - 7*m(t). Calculate x(5).
-2
Let p(z) = -5*z**3 + 9*z**2 + 6*z + 1. Let v(i) = 0 - i**2 + 0*i**3 + 1 + 2*i**2 - i**3. Let a(u) = p(u) - 4*v(u). Determine a(6).
-3
Let o(u) be the first derivative of -u**3/3 + 3*u**2/2 - 3*u - 25. Calculate o(2).
-1
Let i = -27 - -28. Let k(p) be the third derivative of p**4/6 + p**3/3 - p**2. Let b(h) = -2*h - 1. Let t(s) = -5*b(s) - 3*k(s). Calculate t(i).
-3
Let i = -8 + 2. Let v = i - -4. Let r = 0 + v. Let t(s) = s**2 + 2. Determine t(r).
6
Let g(o) be the first derivative of -o**2/2 - 11*o + 1. Let k(f) = -f + 5. Let r be k(10). Calculate g(r).
-6
Let l(x) = -2*x**3 + x**2. Suppose g - u - 2 = -g, 0 = 4*g - 4*u - 4. Give l(g).
-1
Let m(b) = 3*b**3 - 3*b**2 + 5*b + 3. Let x(j) = -4*j**3 + 2*j**2 - 6*j - 4. Let y(f) = 3*m(f) + 2*x(f). Calculate y(4).
-3
Suppose 0 = -f - f. Let o(s) = s + 5. Let m be o(f). Let z(t) = t - 2. Determine z(m).
3
Let i = 37 - 32. Let j(l) = -l - 2. What is j(i)?
-7
Let m(y) = y + 3. Let u(z) = -z**3 - 8*z**2 + 2*z + 12. Let t be u(-8). What is m(t)?
-1
Suppose -2 = -3*g + 1. Let m = 29 + -19. Let i(o) = -m - 7*o + 10. What is i(g)?
-7
Let d(i) = -i + 4. Suppose 6 = -2*b + b - 2*c, 4*b + 2*c = 0. Let w(y) = -y + 1. Let p be w(-4). Let q(z) = z - 8. Let v(l) = b*q(l) + p*d(l). What is v(4)?
-8
Let k(b) = -b**2 + 7*b - 8. Let h(f) = -2*f + 1. Let l be h(9). Let z = 6 + l. Let c be (-6)/(-12) - z/2. What is k(c)?
-2
Suppose -2*m + 3*m = 4. Suppose -m*d - d + 15 = 0. Let z(q) = q**2 + q - 1. Determine z(d).
11
Suppose 4*q - 8 - 31 = -3*s, -2*s + 3*q + 9 = 0. Let t(d) = -3*d - d**2 + 0*d + 2*d + s - 2. What is t(0)?
7
Suppose 0 = 2*s + y + 1 - 9, 3*s - 14 = -y. Suppose 4 = 2*i - s*i. Let m(r) = 10*r. Let l(n) = 5*n. Let u(v) = -5*l(v) + 3*m(v). Calculate u(i).
-5
Suppose 4*i - 2*i + 24 = 0. Let r be i/(-2)*(-2)/(-3). Let m(x) be the third derivative of -x**4/24 - x**3/6 + 6*x**2. Give m(r).
-5
Suppose 3*h + h = 12. Suppose -h*x + 7 + 2 = 0. Let a(i) = i + 0 + 4 - 3*i**x + 2*i**3 - 4*i**2. What is a(-4)?
0
Let p = -8 - -3. Let q(l) = -l - 10. Calculate q(p).
-5
Let o(u) be the first derivative of 2*u**3/3 - u**2/2 + 2*u - 3. Determine o(2).
8
Let u be (12/(-8))/(2/(-4)). Suppose -2*b - u*c - 2*c - 8 = 0, 2*c + 4 = 0. Let l(v) = 1 - 2*v - v**2 + 0 - 6*v**2. What is l(b)?
-8
Let b = 0 + 5. Let y(v) = -20*v**3 + 15*v**2 - 14*v - 3. Let i(q) = 7*q**3 - 5*q**2 + 5*q + 1. Let o(h) = 17*i(h) + 6*y(h). Determine o(b).
4
Let v(w) = w**3 - 3*w**2 - 5*w + 6. Suppose -2*u = -u - 7. Let z(r) = r**3 - 8*r**2 + 8*r - 3. Let b be z(u). Determine v(b).
2
Let q(r) = -r**3 - r - 8. Let x be ((-6)/8)/(3/(-60)). Suppose -4*f - 2*b + 4 - 14 = 0, -3*b = 5*f + x. Give q(f).
-8
Let i = -19 + 16. Suppose h - 4 = -h. Let w(n) = 0 - 4 + h - 2*n. What is w(i)?
4
Suppose -3*d + 10 = 22. Let y(l) = -l - 7. Let h be y(d). Let c(f) = f**2 + 4*f + 2. What is c(h)?
-1
Let t = 14 - 11. Let x(o) = -o**2 + 3*o + 4. Calculate x(t).
4
Let s be 1/(3/15*1). Suppose -37 = -4*o + 7*t - 2*t, -25 = s*t. Let w(c) = -c**3 + 2*c**2 + 2*c + 3. Determine w(o).
0
Suppose 3*n = -2*n + 10. Let a(g) = -14*g**2 - 12*g + 26. Let i(k) = -5*k**2 - 4*k + 9. Let o(c) = 6*a(c) - 17*i(c). Give o(n).
-1
Let s(l) = -l**3 + 3*l - 3. Let h be s(2). Let a(q) = q**3 + 4*q**2 - 6*q + 2. Calculate a(h).
7
Let o(c) = -4*c + 10. Let j(r) = 5*r - 11. Let b(h) = -3*j(h) - 4*o(h). Suppose a = -4*a + 25. Calculate b(a).
-2
Let z(x) = x**2 - x + 1. Let r(q) = 36*q**2 - 30*q + 30. Let o(h) = 3*r(h) - 90*z(h). Calculate o(1).
18
Suppose -5*w = -3*w - 30. Let l be 12/w - 2/(-10). Let f(v) = -3*v**3 - v. Give f(l).
-4
Let x(k) = -3*k**2 - 8*k + k**2 - 9 + k**2. Give x(-7).
-2
Let k(v) = v**3 + 3*v**2 - v - 1. Suppose 2*t + h = -3*h + 24, 0 = -4*t + 4*h - 12. Suppose 3*w = t*q - 11, 2*w + 3*q - 6 = 3*w. What is k(w)?
2
Let z(q) = -q - 2. Suppose 4*v - 2*g + 4 = 0, 0*g - 4*g = 5*v + 31. Let c be 0 - (3/v + -3). Let l be ((-10)/c - -3)*6. Give z(l).
-5
Let y(b) = b**2 - 3*b - 2. Let t(v) = 4*v + 31. Let l be t(-7). Determine y(l).
-2
Let y(w) = -w**3 - w**2 - w + 6. Suppose -3*z = -5*z. Let p be (z*2/(-6))/(-2). Calculate y(p).
6
Let y(k) = 4*k - 1. Let d be (4 + -2 - 5) + 2. Give y(d).
-5
Let h(z) = -3*z - 13. Let c(a) = 3*a + 11. Let y(m) = 6*c(m) + 5*h(m). Give y(4).
13
Let f(q) = 5 + 10*q**2 - 7*q**2 - 2*q**2 - 2*q**2 + 3*q. Determine f(4).
1
Let o(r) = -2*r - 1. Let g be o(-2). Let t(d) be the second derivative of d**4/12 - d**3/6 + d**2 + 50*d. Calculate t(g).
8
Let g(p) = -3*p**2 + p - p - 10 + p + 9. What is g(-2)?
-15
Let r be 1/(-5)*-2*10. Let w(y) = y**2 - 3*y + 6. Determine w(r).
10
Let d(h) = 8 - h - 6*h**2 - 1 + h**3 + h**2. Let a(n) = n**3 - 9*n**2 + 3*n - 22. Let z be a(9). Give d(z).
2
Let c(j) = -6*j + 6. Let w(y) = y - 1. Let i(a) = -c(a) - 5*w(a). Determine i(0).
-1
Let k(p) = p**2 - 1 + p + 7*p**2 + 2 + 2*p**2. Suppose -7 + 10 = -3*j. Determine k(j).
10
Let z = -13 - -19. Let x(u) = -u**3 + 6*u**2 - u + 7. Calculate x(z).
1
Let r(j) = 2*j + 3. Let p(n) = 5*n + 7. Let k(i) = -4*p(i) + 9*r(i). Let h be k(-1). Let v(g) = -g**3 + g**2 - g + 1. What is v(h)?
0
Suppose 5 = 2*h + 3. Let l(c) = 5*c + 1. Calculate l(h).
6
Let w be (-1)/2 - 35/(-14). Suppose 0 = -0*v + w*v - 6. Suppose 8 = -3*c - v*t - 1, -5*t = 5. Let i(o) = -o**3 - 2*o**2 + o + 1. Determine i(c).
-1
Let n be ((2 + -3)*4)/(-1). Let m be (n/(-3))/(4/(-6)). Let u(h) = -h**m + 4*h**2 + h**2. What is u(1)?
4
Suppose 5*g + 12 + 13 = 0. Let c(q) = 4*q**2 - q**3 + 0 - 5*q - 2 + 2*q**3. What is c(g)?
-2
Let l(s) = -s + 4*s**2 + 3*s - 2*s - s**3 + 3. Suppose 2*q + 8 = 4*q. Determine l(q).
3
Let o(n) = -n**2 - n + 9. Let u = -7 - -14. Let f = 7 - u. What is o(f)?
9
Let d(a) be the first derivative of 3*a**2/2 + 8*a + 37. What is d(-4)?
-4
Let u(i) = i**3 + 4*i**2 - 5*i + 5. Let v be u(-5). Suppose -v*b - 4 = 1. Let p(a) = -2*a**2 - a - 1. Calculate p(b).
-2
Suppose -3*g - 22 = -4*t, -2*t - 2*t = 5*g + 26. Let l(f) = -f**2 - 6*f + 7. What is l(g)?
7
Let m(n) = 3*n + 2. Let j = 10 + -6. Suppose -3*i + 4 = -j*i. Determine m(i).
-10
Let m be (-8)/(-6)*(-12)/(-8). Suppose -i + m*i = 0. Let w(p) = -14*p + 23. Let b(q) = -5*q + 8. Let s(y) = -11*b(y) + 4*w(y). What is s(i)?
4
Let w(n) = -3*n - 7*n + 11*n. Let o(k) = k**3 - 5*k**2 + 3*k - 1. Let u(x) = -o(x) + 2*w(x). Calculate u(4).
13
Let d(r) = 3 - r**2 + 2*r**2 + 2*r**3 - r**3. Let w(v) = v**3 - 5*v**2 - 7*v + 6. Let m be w(6). Give d(m).
3
Suppose 4 + 1 = d. Suppose 2 = 4*a + 2*s, -d*a - 4*s + 0 + 7 = 0. Let w(j) = -2*j - 1. Give w(a).
1
Let z(q) = 11*q**3 - q**2 + q - 1. Suppose 1 = 3*i + 5*h, -4*i + 0 + 3 = 5*h. Suppose y = -y + i. Determine z(y).
10
Let i(v) be the third derivative of -7*v**4/12 - v**3/6 - 25*v**2. Give i(1).
-15
Suppose -5*b + 29 = -1. Let d(c) = -c**3 + 7*c**2 - 2*c - 2. Determine d(b).
22
Let r(g) = 2*g + 10. Let z be r(-7). Let n = -1 - z. Let f(d) = -4 + d**2 + 0 + n - 3*d. What is f(3)?
-1
Let c(h) = 3*h - 22 + 15 + 0*h. Give c(5).
8
Let u(j) = -j**3 - 5*j**2 + 3*j - 6. Let g(f) = -5*f**2 - f - 2. Let b be g(-1). What is u(b)?
12
Let v = 8 + -3. Suppose 3*n = -v*m - 5, m + 3*n = -n + 16. Let t(r) = 38 - 4*r - 43 + 2*r. Determine t(m).
3
Let l(i) be the third derivative of -i**6/12 - i**5/30 + i**4/12 - i**3/6 - 8*i**2. Let m be 0 - -2 - (0 - -1). Calculate l(m).
-11
Let n(y) be the second derivative of y**4/12 - y**3/6 + 3*y**2/2 + 3*y. Let j be (-3)/(-2 - 1) - -2. Give n(j).
9
Let z(w) = 6*w - 1. Let x be z(1). Let g(h) = h. Let q(a) = -a**2 + 4*a - 2. Let f(n) = -g(n) - q(n). Give f(x).
2
Let z = -5 - -7. Suppose -z*l - 4 = -4*l. Let s(p) = p**2 - p - 1. Determine s(l).
1
Let c(n) be the third derivative of n**4/8 - n**3/6 + 6*n**2. Determine c(-1).
-4
Let u(x) = -x**2 + 4*x - 1. Suppose -2*v = -3*v + 5. Suppose -4*i + v*i - 4 = 0. Suppose i*w = 3*r + 14, 4*r = 2*w - 6*w + 28. Give u(w).
-6
Let x(h) = -2*h**3 - 2*h**2 + 4*h - 1. Let r(s) = 3*s**3 + 5*s**2 - 7*s + 2. Let w(j) = -3*r(j) - 5*x(j). Let b be w(5). Let o(t) = -t**2 + 3*t + 5. Give o(b).
1
Let f(i) = i**3 + 3
|
{
"pile_set_name": "DM Mathematics"
}
|
f 33238 to the nearest integer?
182
What is the ninth root of 2108 to the nearest integer?
2
What is the square root of 1605 to the nearest integer?
40
What is the cube root of 19111 to the nearest integer?
27
What is 13094 to the power of 1/2, to the nearest integer?
114
What is 838 to the power of 1/3, to the nearest integer?
9
What is 55991 to the power of 1/2, to the nearest integer?
237
What is the third root of 14679 to the nearest integer?
24
What is the fourth root of 896 to the nearest integer?
5
What is the fifth root of 15706 to the nearest integer?
7
What is the ninth root of 4416 to the nearest integer?
3
What is the third root of 58275 to the nearest integer?
39
What is 955 to the power of 1/2, to the nearest integer?
31
What is the tenth root of 58665 to the nearest integer?
3
What is the third root of 1236 to the nearest integer?
11
What is the cube root of 4475 to the nearest integer?
16
What is 1526 to the power of 1/9, to the nearest integer?
2
What is 64487 to the power of 1/6, to the nearest integer?
6
What is 1093 to the power of 1/4, to the nearest integer?
6
What is the square root of 43359 to the nearest integer?
208
What is the seventh root of 3519 to the nearest integer?
3
What is 45460 to the power of 1/4, to the nearest integer?
15
What is the third root of 1023 to the nearest integer?
10
What is the third root of 38346 to the nearest integer?
34
What is 1600 to the power of 1/2, to the nearest integer?
40
What is the seventh root of 59764 to the nearest integer?
5
What is the cube root of 10113 to the nearest integer?
22
What is the sixth root of 53751 to the nearest integer?
6
What is the square root of 1201 to the nearest integer?
35
What is 11471 to the power of 1/2, to the nearest integer?
107
What is the third root of 27496 to the nearest integer?
30
What is 3005 to the power of 1/2, to the nearest integer?
55
What is 5531 to the power of 1/2, to the nearest integer?
74
What is the seventh root of 474 to the nearest integer?
2
What is 260 to the power of 1/10, to the nearest integer?
2
What is the ninth root of 1529 to the nearest integer?
2
What is 3630 to the power of 1/2, to the nearest integer?
60
What is 64614 to the power of 1/8, to the nearest integer?
4
What is the cube root of 11058 to the nearest integer?
22
What is 11110 to the power of 1/6, to the nearest integer?
5
What is the fourth root of 54557 to the nearest integer?
15
What is the square root of 31002 to the nearest integer?
176
What is the square root of 211 to the nearest integer?
15
What is 2464 to the power of 1/3, to the nearest integer?
14
What is the fourth root of 19647 to the nearest integer?
12
What is the square root of 8765 to the nearest integer?
94
What is the cube root of 19432 to the nearest integer?
27
What is 40874 to the power of 1/3, to the nearest integer?
34
What is 606 to the power of 1/3, to the nearest integer?
8
What is 31551 to the power of 1/3, to the nearest integer?
32
What is the eighth root of 61723 to the nearest integer?
4
What is the cube root of 3184 to the nearest integer?
15
What is the eighth root of 718 to the nearest integer?
2
What is the third root of 14791 to the nearest integer?
25
What is 388 to the power of 1/3, to the nearest integer?
7
What is 42625 to the power of 1/9, to the nearest integer?
3
What is the square root of 1993 to the nearest integer?
45
What is the square root of 122917 to the nearest integer?
351
What is the cube root of 4343 to the nearest integer?
16
What is the cube root of 2525 to the nearest integer?
14
What is the cube root of 24499 to the nearest integer?
29
What is the square root of 38001 to the nearest integer?
195
What is the square root of 408 to the nearest integer?
20
What is the sixth root of 36069 to the nearest integer?
6
What is the third root of 2023 to the nearest integer?
13
What is the fourth root of 70 to the nearest integer?
3
What is 21594 to the power of 1/3, to the nearest integer?
28
What is the fifth root of 5870 to the nearest integer?
6
What is 22062 to the power of 1/10, to the nearest integer?
3
What is 7529 to the power of 1/3, to the nearest integer?
20
What is the third root of 1433 to the nearest integer?
11
What is the third root of 200 to the nearest integer?
6
What is the seventh root of 8172 to the nearest integer?
4
What is the sixth root of 45265 to the nearest integer?
6
What is 15167 to the power of 1/2, to the nearest integer?
123
What is the third root of 44 to the nearest integer?
4
What is the fourth root of 9563 to the nearest integer?
10
What is the cube root of 62361 to the nearest integer?
40
What is 9470 to the power of 1/3, to the nearest integer?
21
What is the third root of 1463 to the nearest integer?
11
What is 15598 to the power of 1/2, to the nearest integer?
125
What is 88967 to the power of 1/6, to the nearest integer?
7
What is 5235 to the power of 1/6, to the nearest integer?
4
What is the seventh root of 104723 to the nearest integer?
5
What is the fifth root of 1367 to the nearest integer?
4
What is the tenth root of 863 to the nearest integer?
2
What is 16921 to the power of 1/2, to the nearest integer?
130
What is the third root of 156922 to the nearest integer?
54
What is 397 to the power of 1/9, to the nearest integer?
2
What is the cube root of 422 to the nearest integer?
8
What is 5111 to the power of 1/6, to the nearest integer?
4
What is 157178 to the power of 1/6, to the nearest integer?
7
What is the ninth root of 10973 to the nearest integer?
3
What is the third root of 8483 to the nearest integer?
20
What is 6551 to the power of 1/2, to the nearest integer?
81
What is the cube root of 1250 to the nearest integer?
11
What is 61558 to the power of 1/3, to the nearest integer?
39
What is the fifth root of 380 to the nearest integer?
3
What is the fifth root of 90 to the nearest integer?
2
What is the ninth root of 13489 to the nearest integer?
3
What is the third root of 3715 to the nearest integer?
15
What is 37998 to the power of 1/3, to the nearest integer?
34
What is 1802 to the power of 1/3, to the nearest integer?
12
What is the third root of 29786 to the nearest integer?
31
What is the tenth root of 19583 to the nearest integer?
3
What is 115597 to the power of 1/2, to the nearest integer?
340
What is the eighth root of 115623 to the nearest integer?
4
What is the eighth root of 599 to the nearest integer?
2
What is the third root of 5131 to the nearest integer?
17
What is 45695 to the power of 1/2, to the nearest integer?
214
What is 563 to the power of 1/5, to the nearest integer?
4
What is the third root of 2506 to the nearest integer?
14
What is the third root of 6850 to the nearest integer?
19
What is 52800 to the power of 1/3, to the nearest integer?
38
What is 13725 to the power of 1/2, to the nearest integer?
117
What is 8516 to the power of 1/2, to the nearest integer?
92
What is 65 to the power of 1/10, to the nearest integer?
2
What is the sixth root of 3098 to the nearest integer?
4
What is 6712 to the power of 1/10, to the nearest integer?
2
What is 22291 to the power of 1/3, to the nearest integer?
28
What is the square root of 24334 to the nearest integer?
156
What is 15603 to the power of 1/8, to the nearest integer?
3
What is the square root of 7817 to the nearest integer?
88
What is the eighth root of 122990 to the nearest integer?
4
What is the third root of 3743 to the nearest integer?
16
What is 142 to the power of 1/3, to the nearest integer?
5
What is 7871 to the power of 1/9, to the nearest integer?
3
What is the square root of 754 to the nearest integer?
27
What is 1434 to the power of 1/4, to the nearest integer?
6
What is 47344 to the power of 1/5, to the nearest integer?
9
What is the cube root of 51108 to the nearest integer?
37
What is 57080 to the power of 1/2, to the nearest integer?
239
What is 21440 to the power of 1/9, to the nearest integer?
3
What is the square root of 99274 to the nearest integer?
315
What is 2244 to the power of 1/8, to the nearest integer?
3
What is the cube root of 66271 to the nearest integer?
40
What is 2182 to the power of 1/3, to the nearest integer?
13
What is the square root of 3549 to the nearest integer?
60
What is the cube
|
{
"pile_set_name": "DM Mathematics"
}
|
147) - sqrt(147))) + 4 + 0)*4 + 0)**2.
3584*sqrt(3) + 37888
Simplify (sqrt(13) + 2)*3 + sqrt(65)/sqrt(5)*-4 - (-4 + 1 + sqrt(832) + -4)**2.
-875 + 111*sqrt(13)
Simplify (2*(sqrt(2736) + 1)*-6 + 2)**2 + 5.
2880*sqrt(19) + 394089
Simplify sqrt(1584) - (2 + sqrt(1584) + -2)**2 - (sqrt(1584) - (sqrt(1584) + -1 + 4)).
-1581 + 12*sqrt(11)
Simplify 0 + 3 + (-5 + (sqrt(1216) - (1 + sqrt(1216))) + sqrt(1216) - (4 + sqrt(1216) + (3*sqrt(1216) - sqrt(1216)))**2).
-10963 - 184*sqrt(19)
Simplify ((2 + 5 + (sqrt(1700) + 1 + -4 - sqrt(1700)))*-3)**2*1.
144
Simplify (-3 + sqrt(288) + 0)**2 + sqrt(22)/(sqrt(44)/sqrt(4)) + -1*(sqrt(2) - (sqrt(2) + 1)).
-71*sqrt(2) + 298
Simplify (2 + ((sqrt(500) + -1*sqrt(500))/sqrt(10))/(5*sqrt(70)/sqrt(7)))**2.
4
Simplify -5*(4 + (sqrt(12)*-2)/sqrt(4)*-5*-6)**2*6.
-324480 + 14400*sqrt(3)
Simplify 5 + ((-1 + sqrt(1331) - sqrt(1331)) + -3)**2 - (sqrt(1331) + 0 + 1 + (5 + -1*sqrt(1331) + sqrt(1331))**2).
-11*sqrt(11) - 5
Simplify 3 + (3*3*(1 + sqrt(1331) + 1))**2.
3564*sqrt(11) + 108138
Simplify (3*((-1 + sqrt(1900))*-5 + -2 + -1 + sqrt(1900) + sqrt(1900)))**2*3.
-3240*sqrt(19) + 461808
Simplify ((3*(-3 + -2 + sqrt(28) + sqrt(28) + 1) + 3)*6)**2.
-7776*sqrt(7) + 39204
Simplify 2 + (sqrt(17) + (sqrt(119)*2)/sqrt(7) + 2)**2 - ((sqrt(102)/sqrt(6)*5)**2 - (sqrt(612) - (sqrt(612) - (sqrt(612) - (sqrt(612) + -2)) - sqrt(612)))**2).
36*sqrt(17) + 350
Simplify (-1*sqrt(65)*-1)/(sqrt(5) + sqrt(5) + sqrt(45)*-1) + 5*(((1*sqrt(78))/sqrt(6))**2 + -3).
-sqrt(13) + 50
Simplify ((sqrt(891)*3 + -5)**2 - (sqrt(891)*3 + 0 + sqrt(891) + sqrt(891) + sqrt(891))**2)*-3*-4.
-288384 - 3240*sqrt(11)
Simplify ((3*sqrt(120)/sqrt(3) - sqrt(40))/sqrt(2))/(sqrt(400)*-2*5) + -1.
-1 - sqrt(5)/50
Simplify -1 + (2*(sqrt(1300) + (sqrt(1300) - (sqrt(1300) + 0)) + 5 - (3*2*sqrt(1300) + sqrt(1300))))**2.
-2400*sqrt(13) + 187299
Simplify 3 + (1*(2 + sqrt(245) + -1))**2 + -1.
14*sqrt(5) + 248
Simplify (0 + ((-5 + sqrt(1900) + 1)**2 - sqrt(1900)) + sqrt(1900) + (sqrt(1900)*-1 + -5)**2 + -2 + (sqrt(1900) + sqrt(1900) + 1)**2)*-1.
-11440 - 60*sqrt(19)
Simplify ((sqrt(136)*2 + sqrt(136))*-3 - sqrt(136) - -2*sqrt(136)*2)/(1*(sqrt(8) - sqrt(8)*-1)*-4).
3*sqrt(17)/4
Simplify sqrt(12)/sqrt(54) + -2 + sqrt(2)*1 + (sqrt(8) + sqrt(32)*-1 - sqrt(8))/sqrt(4).
-2 - 2*sqrt(2)/3
Simplify 2 + (sqrt(76)*-4*-1)/((sqrt(48)/sqrt(3))/sqrt(4)).
2 + 4*sqrt(19)
Simplify 2 + sqrt(2880) + 1 + sqrt(45) + 2.
5 + 27*sqrt(5)
Simplify sqrt(15)/(sqrt(80)*1) - ((sqrt(147) + -1*sqrt(147) + sqrt(147))**2 + -5 + sqrt(3)*-1).
-142 + 5*sqrt(3)/4
Simplify (sqrt(252)/sqrt(6))/sqrt(6)*6 + -4*((sqrt(7) + -2)**2 + sqrt(7) + -2).
-36 + 18*sqrt(7)
Simplify (sqrt(605) + 2 + 2 + -1)**2*-2.
-1228 - 132*sqrt(5)
Simplify 2 + -5 + (sqrt(2057) + -2 + 3 - sqrt(2057))**2 + -1.
-3
Simplify (6*(2 + (sqrt(245) - (sqrt(245) + sqrt(245) + 2 + 3)) + sqrt(245))*5)**2.
8100
Simplify 5 + 2 + -4 + 0 + (sqrt(76) + 6*sqrt(76))/sqrt(4).
3 + 7*sqrt(19)
Simplify (2 + (sqrt(198)/(-2*sqrt(11)) - sqrt(18)))**2*5 + -2.
-90*sqrt(2) + 441/2
Simplify (-2 + (sqrt(208) - (sqrt(208) + -1))*3 + sqrt(208) + -5*(0 + sqrt(208) + sqrt(208)) + sqrt(208))**2.
-64*sqrt(13) + 13313
Simplify -4 + -5*(-2*(0 + sqrt(684)) - ((sqrt(684) - (sqrt(684)*1 + sqrt(684)))**2 + -5)).
60*sqrt(19) + 3391
Simplify -1*(sqrt(8)*-2)/sqrt(4)*-6 - (4*(sqrt(200) - (sqrt(200) - (sqrt(200) + -4 + (sqrt(200) - sqrt(200)*-2) + sqrt(200)))))**2.
-80256 + 6388*sqrt(2)
Simplify ((sqrt(525) + sqrt(525)*-2*2)/(sqrt(63)/sqrt(36) + sqrt(112)*-1))**2.
2700/49
Simplify 2 + (sqrt(77) - (-3*sqrt(77)*-1 + sqrt(77)))/(sqrt(84)/(sqrt(96)/sqrt(8))).
-3*sqrt(11) + 2
Simplify 3 + (-5*((sqrt(288) - (1*sqrt(288) + sqrt(288))) + sqrt(288)))**2 + (1*sqrt(288))**2*-5 + 1.
-1436
Simplify 3 + (sqrt(637) + 6*(sqrt(637) + 1 + sqrt(637)) + sqrt(637) + 0)**2*-2.
-249773 - 2352*sqrt(13)
Simplify 4*(0 + sqrt(637) - (-4 + sqrt(52)/sqrt(4))).
16 + 24*sqrt(13)
Simplify (sqrt(245)/(sqrt(252)*-1))/(sqrt(5) + (sqrt(320)*2 - sqrt(5)) + sqrt(5) + -1*sqrt(180)).
-sqrt(7)/66
Simplify (1*((sqrt(204) + sqrt(204) + sqrt(204)*1 + sqrt(204) + sqrt(204))*-2 + sqrt(204)))/((-3*sqrt(6912))/sqrt(4)).
sqrt(17)/4
Simplify ((sqrt(156) - (sqrt(156)*-2 - sqrt(156)))*-1 + sqrt(156)*2*4)/(sqrt(36)/(sqrt(3) + (sqrt(27) - sqrt(3)))*2) + -1.
-1 + 6*sqrt(13)
Simplify ((1 + 3 + sqrt(75) - -2*sqrt(6)/sqrt(2)*-4) + 5)**2.
-54*sqrt(3) + 108
Simplify ((sqrt(50) + sqrt(200)*-2)*-1)/((sqrt(10) + sqrt(490)*1 - sqrt(10)) + sqrt(30)/(sqrt(3)*1)).
3*sqrt(5)/8
Simplify ((sqrt(105)/sqrt(3))/sqrt(7) + sqrt(5) - (sqrt(125) + 1)) + (sqrt(20)/((sqrt(432) + sqrt(48))/sqrt(12)))**2.
-3*sqrt(5) - 11/16
Simplify (-2*(sqrt(875) - 2*sqrt(875)))/(sqrt(175) + -3*-3*sqrt(175)).
sqrt(5)/5
Simplify ((sqrt(2592) + 2 - sqrt(2592) - sqrt(32) - sqrt(32)) + sqrt(32) + 5*sqrt(2)*5*6)**2.
584*sqrt(2) + 42636
Simplify -1 + 2*(-2*sqrt(7)*-3 + 1)*6.
11 + 72*sqrt(7)
Simplify 1*(-1*(sqrt(19) + -1)*5 - (2*sqrt(57)/sqrt(3) + (-2 + sqrt(76))**2)).
-75 + sqrt(19)
Simplify ((sqrt(33) + -6*(sqrt(33) - (sqrt(33) + sqrt(825) - sqrt(33))))*3)/(sqrt(704)*-2 + sqrt(704) - -1*sqrt(275)).
-25*sqrt(3)
Simplify ((2*sqrt(891)*-4)**2 + sqrt(891))*-3 + ((-2*sqrt(891))**2 + 3 - -5*-1*sqrt(891)).
-167505 - 72*sqrt(11)
Simplify (-1 + sqrt(27)*3)*-4*6.
-216*sqrt(3) + 24
Simplify 2 + sqrt(75) + 0 + 1 + -1*sqrt(6)/sqrt(2) + (sqrt(108) - 2*sqrt(108)).
-2*sqrt(3) + 3
Simplify 1 + (2*sqrt(1512)*-4)/(sqrt(24)/(1*sqrt(196))).
-336*sqrt(7) + 1
Simplify (sqrt(1216) + 3 + 2 + 1 + -5)**2.
16*sqrt(19) + 1217
Simplify (sqrt(308) - (-2*(-2*sqrt(308) - sqrt(308)) + sqrt(308)))/(-4*1*sqrt(11)).
3*sqrt(7)
Simplify 0 + 1*(5 + sqrt(396)*2).
5 + 12*sqrt(11)
Simplify (-3 + sqrt(98) + sqrt(98) + sqrt(98) + 2 + -5)**2 - (3*(sqrt(98)*-1)**2 - sqrt(98) - (5 + -2 + sqrt(98))).
-238*sqrt(2) + 627
Simplify (-4 + 1 + -1 + (0 + sqrt(128) + 4)*-6)**2.
2688*sqrt(2) + 5392
Simplify sqrt(768)/sqrt(6) + sqrt(12)/(sqrt(36)/sqrt(6))*3.
11*sqrt(2)
Simplify (((sqrt(52) + 1)*2 - -6*(sqrt(468) + 0 + sqrt(468))) + -1)**2.
152*sqrt(13) + 75089
Simplify 2*((0 + sqrt(448))**2 + -1)*-2.
-1788
Simplify (((sqrt(104)*3 - sqrt(104) - sqrt(104))*-5 - sqrt(104))/(sqrt(128) - -2*sqrt(128)) + 5)**2.
-5*sqrt(13) + 113/4
Simplify (-1*sqrt(5000) + sqrt(5000) + sqrt(50))/sqrt(10) + (4 + (sqrt(15)/sqrt(3) + sqrt(5))*-5)**2.
-79*sqrt(5) + 516
Simplify -5 + 2 + (sqrt(11) + sqrt(275)*-2 + sqrt(11))**2 - ((-2*sqrt(121))/sqrt(11) + -3*sqrt(1100))**2.
-10563
Simplify ((sqrt(300) + 0)*6)**2 - (sqrt(3)*2*-6 - (1 + sqrt(300))).
22*sqrt(3) + 10801
Simplify (-1 + -2 + -4*sqrt(4)/(sqrt(4)/(sqrt(6)/sqrt(3))))**2.
24*sqrt(2) + 41
Simplify (-5*(sqrt(2) + -1)*5 - (sqrt(16)/(sqrt(8)*-1) - -3*sqrt(8)/sqrt(4)))**2.
-1350*sqrt(2) + 2083
Simplify (-1 + 1 + 0 + (1 + sqrt(833) + 2 - sqrt(833)))**2.
9
Simplify (5 + -6*((sqrt(50) - sqrt(800)) + (sqrt(2) - sqrt(22)/(-1*sqrt(11) - sqrt(11)))))**2.
810*sqrt(2) + 13147
Simplify ((-6*(1 + sqrt(720)) + sqrt(720) + 2 + sqrt(720) + sqrt(720) + 4)*4)**2.
103680
Simplify sqrt(110)/sqrt(1210)*-6 + (((sqrt(11) + -1)*2)**2 - (-5*(sqrt(275))**2 + sqrt(11))).
-105*sqrt(11)/11 + 1423
Simplify ((1 + sqrt(242))*-3 + ((0 + sqrt(242))*-2)**2 + 5)*6.
-198*sqrt(2) + 5820
Simplify (((sqrt(78) - 1*sqrt(78)*2) + sqrt(78) + sqrt(78)*-2*6)/(3*sqrt(6)*1 - (sqrt(6) - (sqrt(726)*2 + sqrt(726)))))**2.
1872/1225
Simplify ((-2*(sqrt(1216) + -4) + 1)*-2)**2.
-1152*sqrt(19) + 19780
Simplify -1 + 1 + (sqrt(425)*1*-5)**2.
10625
Simplify ((-5*-3*sqrt(693))/(3*sqrt(704)))**2.
1575/64
Simplify (-2*sqrt(10)*-5 + sqrt(20)/(sqrt(8)/sqrt(4)))/(sqrt(50) + (sqrt(450) - (sqrt(450) - (sqrt(450) + sqrt(450) + 2*sqrt(450))))).
11*sqrt(5)/65
Simplify sqrt(49)/(sqrt(448) - sqrt(28))*-1 - (1 + 0 + (sqrt(35)/(-1*sqrt(5)))**2).
-8 - sqrt(7)/6
Simplify ((sqrt(637) + 2)*-4*3)**2 + -5 + -1 + sqrt(637) + -3.
4039*sqrt(13) + 92295
Simplify (2*1*sqrt(32)*6)**2 + -4.
4604
Simplify -2*(sqrt(91)/(sqrt(1575)/sqrt(9)) + (sqrt(1573) + -3 + 1)**2).
-3154 + 438*sqrt(13)/5
Simplify 4 + -6*(sqrt(896)*-4)/sqrt(8).
4 + 96*sqrt(7)
Simplify (-2*((sqrt(480) - sqrt(480)*-2) + sqrt(480)))/(sqrt(48)/(sqrt(288) + sqrt(288) + sqrt(288)*-1))*-2.
384*sqrt(5)
Simplify ((sqrt(40)*2)/sqrt(2) - (1*-1*sqrt(20))**2) + 0.
-20 + 4*sqrt(5)
Simplify (-1 + -5*(sqrt(2299)*-1 - sqrt(2299)) + 2 + 5)**2.
1320*sqrt(19) + 229
|
{
"pile_set_name": "DM Mathematics"
}
|
- 1 for m.
4
Let b(s) = -s**3 - 13*s**2 + 32*s + 40. Let r be b(-15). Suppose v + 5*i = -v + 54, 2*v - i = 54. Solve 2*c - v + 7 = 2*u, -5*c + r = 3*u for c.
5
Let u(o) = -o**2 - 49*o - 323. Let g be u(-41). Solve g*w + 3*n = 19, 3*w = w - n + 8 for w.
5
Let y = 62 - 59. Suppose 0*a - 4*x - 13 = -y*a, 0 = a + 4*x + 1. Solve 0 = 2*l - 3*t, -2*l - 1 = -5*t + a for l.
3
Let p = -2 + 7. Suppose a - 3 - 5 = -4*f, -a = -2*f + 4. Suppose f*z + 5*h + 1 = 16, -4*h = -3*z - 12. Solve z = p*l - 3*n + 3 + 3, -n + 2 = 2*l for l.
0
Suppose 306 = -0*w + 6*w. Let f = 54 - w. Solve 6*l - 1 = f*l - 2*v, -3*l - 4*v = -11 for l.
-3
Suppose 4*r = 3*w - 6, -r + 3*w + 0*w - 6 = 0. Solve 0 = 4*x - 5*f + 11, -x = -r*x + 2*f - 7 for x.
1
Let a be 51/(-119) + 92/(-14). Let q be (((-21)/(-4))/a)/((-6)/120). Solve 4*y - l = -q, -2*y + 6 = 3*l + l for y.
-3
Let g = -13 + 26. Let b be 0/(1 - (-1)/((-5)/10)). Solve 0 = -2*c + 3*x + g, b = c + x - 4*x - 14 for c.
-1
Suppose -2*w + 1 = -w. Solve -2*q - 12 + 9 = 3*j, j + w = 4*q for q.
0
Let z(t) = 2*t**2 - 17*t + 8. Let i be 8 + 0/(-9)*2/6. Let u be z(i). Solve u*d + 3*d - 4*m + 17 = 0, 5*d + 2*m = 15 for d.
1
Let q(w) = -w**3 - 9*w**2 - 7*w + 5. Suppose -7 = -4*j - 39. Let d be q(j). Let m be 1 + (-3 - d) + 2. Solve 0 = -m*r + r + 4*i - 18, -16 = -4*i for r.
-1
Let v(y) = -y**3 + 8*y**2 + 2. Let u be v(7). Let w = -31 + u. Suppose -3*o = 2*o - w. Solve 2*i = 2*a + 10, -2*i + 2*a - 6 = o*a for i.
1
Let v be 10/10 + 10/2. Let r(o) = -o**3 + 7*o**2 - 5*o + 13. Let b be r(v). Solve -5*d = 4*s - b, -2*s + 0*s + 3*d = 7 for s.
1
Suppose -5*u = -9*u. Let l(j) = j**3 - j + 4. Let t be l(u). Suppose 7*z = t*z + 15. Solve -z*g + 32 = -4*d, 4*d - 2*d = -4*g + 10 for g.
4
Let g(n) be the second derivative of n**4/12 + 5*n**3/6 + 4*n**2 - 5*n. Let k be g(-9). Suppose 5*i = i + k. Solve v + 19 = 5*w, 3*v + i = w - 4 for v.
-4
Let v = 168 - 166. Solve 2*m - 5*r + 8 = 0, v*m - 2*r + 3 = -5 for m.
-4
Suppose 0*a - 3*a - 18 = 0. Let l(p) = 20*p - 21 + 13*p - 37*p. Let q be l(a). Solve -q*w + 2*w = 1, 3*w + 2 = -f for f.
1
Let z = 3 - 1. Solve l - d + 2 = 0, 4 = -z*l + 6*d - d for l.
-2
Let v = -32 - -41. Let u(s) = -s**2 + 8*s + 10. Let h be u(v). Suppose 9 = t - h. Solve 3*l - l = -5*r - t, -5*l = -2*r - 33 for r.
-4
Let t = 2 - 2. Let j be 15*(t + 2*(-4)/(-24)). Solve -4*s + 20 = -j*v, 0 - 4 = v + 4*s for v.
-4
Let u = -9 + 11. Suppose 7*w = 11*w - w. Suppose -6 + w = -u*i. Solve d = -3*n - 1, i*d + 2*n + 7 - 18 = 0 for d.
5
Let c = 44 - 43. Solve 5*t + c = -3*f - 1, -4*f - 10 = 3*t for t.
2
Let q(h) = -h**2 + h + 2. Let b be q(0). Let x be (-6 - -3)*(-1)/(-3). Let g = x - -9. Solve -f + b*u = -3*f - 18, 0 = 2*u + g for f.
-5
Let r(p) = 3*p**2 - 21*p + 6. Let q be r(7). Solve -3*l - 2*t + q = 1, -4*l = -2*t + 12 for l.
-1
Let t = 9 + -7. Suppose 0 = c + t*c. Let z be ((-10)/(-4))/(90/108). Solve -7 = -y - z*a, c = 2*y - 5*a + 19 for y.
-2
Suppose -6*s - 59 = -161. Solve -3*j - s = 4*g, 4*g = 3*g + j + 1 for g.
-2
Let c be 4 - 39/9 - 10/(-3). Suppose 7*g - c*g - 33 = -5*m, 29 = 2*g + 5*m. Solve -2*f + 3*i = g*i - 5, 0 = -4*f + 5*i + 13 for f.
2
Let c be (-110)/(-44)*16/10. Suppose 0 = -c*i - 0*i. Solve i = 4*t - 5*k + 3, -5*t = -2*t - k + 5 for t.
-2
Suppose 10*o = 6*o + 12. Let r(g) = g + 5. Let p be r(-5). Let y = 5 - p. Solve -17 = -w - o*d, y*d = -8 + 28 for w.
5
Let a(j) = 3*j**2 + 4*j - 3. Let p be a(1). Suppose -4*z = 2*s + 4, -10 = 5*s + 6*z - z. Let l = s - -2. Solve 0 = u - 2*r - p, -u + l*r = r + 8 for u.
-4
Let f be 3 - -3 - (1 + 2). Let h(r) = -r**2 + 7*r - 10. Let w be h(f). Let x be w/(-1) - (8 + -12). Solve -5*y - x*i + 19 = 0, 5*i + 2 = -13 for y.
5
Suppose -3*f + 2*x + 0 = -82, 0 = 5*f - 2*x - 142. Solve -4*w - o + 15 = 0, -5 + f = -5*o for w.
5
Let h(d) = -d**3 - 5*d**2 - 2*d - 6. Let u be h(-5). Solve 2*g = -u*t - 20, -4*t + g = t + 11 for t.
-3
Let h be 5 + 0 - (2 + -3). Let k be h + (-5)/(15/9). Suppose 5*r = k*f - 14, -3*r - r - 10 = -2*f. Solve b - 2*b = 4, 4*x + f*b = -12 for x.
0
Suppose 121*v - 117*v = 472. Let q = v + -115. Solve -2*u = -3*b - 9, u = q*b + 8 + 4 for u.
-3
Let w(g) = -g**3 - 2*g**2 - 6*g - 7. Let a be w(-2). Solve -a*k = -2*p + 9, p + 6*k = 4*k for p.
2
Let y(l) = -12*l - 280. Let u be y(-25). Solve r + 6*o - 2*o = -4, 5*r - 3*o + u = 0 for r.
-4
Let z = 119 - 113. Let r be (z/15 - (-4)/(-10))/2. Solve -5*l + r*l + 31 = 4*a, 0 = -2*l - 5*a + 26 for l.
3
Suppose -4*o + 22 = -38. Solve 5*j + 5*b + 20 = 0, -2*j - o = 2*j + 3*b for j.
-3
Let c(b) = b**2 + 19*b + 3. Suppose 2*d + 3*d + 2*f + 91 = 0, 2*d - 4*f + 46 = 0. Let g be c(d). Solve i - 4 = 0, g*a = 6*a + 4*i - 10 for a.
-2
Suppose 5 = -4*u + 29. Suppose r - u = -r. Solve -4*n - r = -0*v - v, -4*n + 2*v + 2 = 0 for n.
-2
Let o(r) = -r - 3. Let s be o(-7). Let h(m) = 5*m**3 - 3*m**2 + m + 1. Let v be h(1). Suppose 0 = -0*n - v*n + 64. Solve -s - n = 5*y, 23 = -a - 5*y for a.
-3
Let v be -3 + (4 - 0) + 7. Let p = -41 - -33. Let f = v - p. Solve 2*h - 14 = -h - 4*s, -4*h - 4*s = -f for h.
2
Let k(p) be the first derivative of -p**2 + 10*p + 9. Let j be k(5). Solve -q + 2*q - 3*x + 1 = j, 7 = 3*q - 4*x for q.
5
Let n = -79 - -79. Suppose 12 = k + k. Let m = 73 + -61. Solve 2*b = -4*p + k, 4*b + n*b - m = p for p.
0
Let m = -88 - -92. Solve -6*j - m*b - 8 = -2*j, 1 = -b for j.
-1
Let r = -124 + 124. Suppose -4*v - t = -8, 2*v + 2*t - 4 = -r*t. Suppose 4*g - 5 - 11 = 0. Solve -g*w + 1 + v = -3*p, -5*w - 4*p - 4 = 0 for w.
0
Suppose -13 + 13 = -i. Let o(x) = -x**2 - 4*x + 3. Let n be 6/(18/(-4) - -3). Let y be o(n). Solve y*d - 5*w = 10, d - 4*w = -i*d + 1 for d.
5
Suppose -5*s - 35 = -5*y, 0 = -s + 20 - 24. Let w be 4*-1 + 38 + 2 + -5. Suppose -3*d + 2*d = -5. Solve -14 = v + y*f, -w + 2 = -4*v + d*f for v.
1
Suppose -102*h = -100*h - 52. Solve -2*l + 3*x - 19 = -6*l, 5*x = -l + h for l.
1
Let y = 354 + -350. Solve -y*b + 16 = 0, 0 = -h + 4*b - 24 + 5 for h.
-3
Let k(d) = -d**3 - 4*d**2 + 4*d + 16. Let n be k(-4). Let j be (-4 - -3)*3 - -3. Solve -2*p = -j*p - 5*x, -3*x = n for p.
0
Suppose 2*d - 50 = -w, 4*d - 132 = -d - 6*w. Solve 4*v + v - 4 = -4*q, q = 5*v - d for q.
-4
Let l = 23 + -21. Suppose 2*y + l*y - 5*q = -12, 0 = 2*y - 2*q + 4. Solve 0 = y*o + 4*i + 2, -18 = 5*o - 3*o - 4*i for o.
-5
Let i(p) = 6*p**2 - 228*p + 2. Let j be i(38). Solve 5*d + 5 = -0, 5*r = 3*d - j for r.
-1
Let s(m) = m**2 + 9*m + 4. Let c be s(-9). Solve -5*d + 19 = z, 0*z - 3*z - 19 = -c*d for z.
-1
Let u be (-160)/(-30) + (-4)/(-6). Suppose -4*n + u = -18. Solve f = -2*o + n, -6 = -3*f + 5*f - 5*o for f.
2
Let n(s) = s - 6. Let w be n(8). Let o(h) = h**3 - 2*h**2 + 3*h. Let r be o(w). Let z = r - 4. Solve -z*u - 9 = 2*q + 5, -4*u - 18 = 2*q for q.
-5
Let c(p) = -5*p - 9. Let n(f) = -4*f - 8. Let l(i) = -3*c(i) + 4*n(i). Let m be l(-10). Solve m*j + 2*b = 5*b + 8, j - 20 = -4*b for j.
4
Suppose -n + 1 = 3*s - 4*s, 0 = 2*s. Solve 11 = 4*l - 3*a, -3*a = -l + n + 4 for l.
2
Suppose -2*j - 2 = -14. Let i be (-3)/1 - (j - 9). Let t be (i/3 + -1)*0. Solve t = -4*d + 4*s, 0*d + 2*s = 4*d + 8 for d.
-4
Suppose 1 = -2*k + 3. Let t = k - -1. Let y = -3640 - -3640. Solve y = -t*b - 5*u - 10, -2*b + 5*u + 25 = -7*b for b.
-5
Let l(g) = g**2 - 2*g - 4. Let w be l(3). Let p be 8/(-10)*w*10. Suppose p = -d + 11. Solve d*i + 4*s = 8*i - 10, 4*s + 16 = 2*i for i.
-2
Let w be (-16)/2*(1/2 + -1). Let x(g) = -g**2 - 8*g - 7. Let t be x(-7). Suppose 5*z - 10*z = t. Solve 2*s - w*v + 22 = z, -v = 2*s + v - 2 for s.
-3
Suppose 0 = -5*n + 2*y + 14, -9 = -3*n + 14*y - 13*y. Solve -n = 2*t + 3*b - 0*b, -2*b = -3*t - 19 for t.
-5
Let i(x) = x**2 + 13*x - 20. Let k be i(-15). Let v = k + -8. Let f be -1*2*9/(-6). Solve r + 3*t - v - 5 = 0, f*r = t + 11 for r.
4
Let u be 6/(-5) - (-1)/5. Let a be (-10)/4 - u - (-120)/16. Solve -n + 5*l - 13 = 0, 2*l = 3*n - 2*l + a for n.
2
Let q be (-4)/(7 + -9) + 13. Solve d + 5*b = 13 + q, -3*d + 14 = b for d.
3
Suppose -5*i = -3*i - 10. Suppose -30 = -0*w - i*w. Suppose -3*o + w*o = 6. Solve 2*s + 4 = -4*c + 2, c + 3 = o*s for s.
1
Let q(k) = -81*k. Let s(z) = 5*z. Let l(c) = -2*q(c) - 33*s(c). Let y be l(-1). Let o = -2 - -4. Solve 4*i - 5*w - 35 = 0, -i + o*w + 26 = y*i for i.
5
Let o be (-2)/2*-4 - (-2)/(-2). Suppose r + 6*d = o*d + 10, -5*r + 30 = 5*d. S
|
{
"pile_set_name": "DM Mathematics"
}
|
cement from {l: 1, o: 1, q: 2, v: 3, s: 3, i: 1}. What is prob of picking 2 q?
1/55
What is prob of picking 2 z when two letters picked without replacement from mmnzntznnnmzm?
1/26
What is prob of picking 1 e and 1 h when two letters picked without replacement from eztttzektohk?
1/33
What is prob of picking 2 n and 2 g when four letters picked without replacement from snvgsvnng?
1/42
Calculate prob of picking 1 r and 1 e when two letters picked without replacement from eeveurrreveerererre.
7/19
What is prob of picking 2 d and 1 g when three letters picked without replacement from dgddddggdgggggdgdd?
27/68
Three letters picked without replacement from iviiaiivivvvvvai. Give prob of picking 1 i and 2 v.
21/80
Calculate prob of picking 1 d and 1 o when two letters picked without replacement from {b: 3, d: 1, o: 1}.
1/10
Calculate prob of picking 3 a when three letters picked without replacement from {a: 10}.
1
What is prob of picking 1 i and 1 j when two letters picked without replacement from {g: 1, z: 14, i: 2, j: 1, p: 2}?
1/95
Three letters picked without replacement from mjmmjzsjsssmuuzums. Give prob of picking 1 z, 1 u, and 1 s.
5/136
Two letters picked without replacement from {e: 6, x: 1, s: 1, a: 4, y: 1}. What is prob of picking 1 e and 1 y?
1/13
Calculate prob of picking 3 l when three letters picked without replacement from {m: 4, a: 7, l: 4}.
4/455
What is prob of picking 1 d and 2 z when three letters picked without replacement from czdzzzdcz?
5/21
What is prob of picking 1 j and 2 k when three letters picked without replacement from {k: 3, j: 12}?
36/455
What is prob of picking 1 p and 1 g when two letters picked without replacement from {y: 2, p: 3, x: 2, r: 3, g: 5}?
1/7
Two letters picked without replacement from aelllaell. What is prob of picking 1 e and 1 a?
1/9
Two letters picked without replacement from paaappavappppppppvp. Give prob of picking 1 v and 1 a.
10/171
Calculate prob of picking 4 d when four letters picked without replacement from {g: 15, d: 3}.
0
Calculate prob of picking 3 a and 1 c when four letters picked without replacement from {c: 2, a: 5}.
4/7
What is prob of picking 1 w and 1 c when two letters picked without replacement from {w: 6, c: 6}?
6/11
Four letters picked without replacement from {x: 2, y: 3, c: 1, u: 7, g: 6}. What is prob of picking 2 g, 1 y, and 1 c?
15/1292
Four letters picked without replacement from zpppzpzzzzpz. Give prob of picking 4 p.
1/99
Two letters picked without replacement from {l: 3, g: 1, n: 4}. Give prob of picking 2 l.
3/28
What is prob of picking 1 v and 1 c when two letters picked without replacement from {d: 1, v: 11, c: 4, q: 1, t: 1, p: 1}?
44/171
What is prob of picking 1 r and 1 j when two letters picked without replacement from lrorogrorjolrjjorjj?
10/57
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from {j: 1, t: 1, u: 2, k: 1}.
1/5
Four letters picked without replacement from aaaaayaa. What is prob of picking 1 y and 3 a?
1/2
What is prob of picking 1 k, 1 d, and 1 m when three letters picked without replacement from {d: 1, m: 6, o: 2, e: 5, k: 2}?
3/140
Three letters picked without replacement from {a: 16, q: 2}. What is prob of picking 3 a?
35/51
Three letters picked without replacement from uqjxb. Give prob of picking 1 q, 1 u, and 1 j.
1/10
What is prob of picking 1 n and 1 e when two letters picked without replacement from nuttueuttutren?
4/91
Four letters picked without replacement from wiydeie. Give prob of picking 1 d, 1 y, and 2 i.
1/35
Three letters picked without replacement from {a: 6, p: 4, x: 1}. What is prob of picking 2 a and 1 p?
4/11
Three letters picked without replacement from mvbvbbbbvmbvnnvbb. Give prob of picking 2 n and 1 m.
1/340
Two letters picked without replacement from hebbzxj. Give prob of picking 1 j and 1 h.
1/21
Three letters picked without replacement from {d: 1, x: 1, u: 5, j: 1, s: 2}. Give prob of picking 1 x, 1 j, and 1 d.
1/120
What is prob of picking 1 w and 2 i when three letters picked without replacement from {r: 7, w: 8, i: 5}?
4/57
What is prob of picking 1 z, 1 c, and 1 e when three letters picked without replacement from czemu?
1/10
Three letters picked without replacement from kpmkmnxxxkggknn. What is prob of picking 1 n, 1 x, and 1 p?
9/455
Calculate prob of picking 2 d and 2 a when four letters picked without replacement from {x: 2, v: 1, b: 1, q: 3, d: 3, a: 2}.
1/165
Four letters picked without replacement from hlhojhhlwolhhhwlo. Give prob of picking 2 w and 2 o.
3/2380
Four letters picked without replacement from {z: 1, i: 1, j: 1, a: 3, n: 5}. Give prob of picking 1 z, 1 j, 1 n, and 1 i.
1/66
Four letters picked without replacement from ysjssjsejssessy. Give prob of picking 1 y, 2 j, and 1 e.
4/455
What is prob of picking 3 t and 1 g when four letters picked without replacement from gtgttttttgtttttt?
33/70
What is prob of picking 1 v and 1 e when two letters picked without replacement from {r: 3, e: 1, t: 1, v: 2}?
2/21
Four letters picked without replacement from {i: 7, p: 2}. Give prob of picking 4 i.
5/18
Calculate prob of picking 2 x and 2 r when four letters picked without replacement from rxxxyxyyry.
1/35
Calculate prob of picking 3 t and 1 i when four letters picked without replacement from {t: 6, i: 4}.
8/21
Three letters picked without replacement from vgavvgvyvyyyvyysgqvy. Give prob of picking 1 g, 1 v, and 1 a.
7/380
Calculate prob of picking 3 u when three letters picked without replacement from fffuffuffuuufuffff.
5/204
Calculate prob of picking 2 v, 1 d, and 1 u when four letters picked without replacement from {v: 7, u: 2, d: 3}.
14/55
Calculate prob of picking 1 y and 2 e when three letters picked without replacement from {e: 13, y: 3}.
117/280
Two letters picked without replacement from uvuvuvuauvaprppvu. What is prob of picking 1 u and 1 a?
3/34
Calculate prob of picking 3 w and 1 u when four letters picked without replacement from wswunwsuuwwwwesu.
1/13
What is prob of picking 2 r, 1 w, and 1 n when four letters picked without replacement from {n: 10, w: 1, i: 1, a: 2, r: 3}?
3/238
Two letters picked without replacement from acss. What is prob of picking 1 c and 1 a?
1/6
What is prob of picking 1 z and 1 x when two letters picked without replacement from {t: 4, x: 1, z: 1, g: 1, w: 1}?
1/28
Two letters picked without replacement from gcpvwlpwcwvg. What is prob of picking 1 c and 1 g?
2/33
What is prob of picking 3 u when three letters picked without replacement from nucuceuceueee?
2/143
Calculate prob of picking 1 e and 1 v when two letters picked without replacement from {c: 1, e: 2, w: 3, v: 1, g: 4}.
2/55
What is prob of picking 2 f when two letters picked without replacement from {k: 7, f: 9}?
3/10
Two letters picked without replacement from ycycyoioicyc. Give prob of picking 2 o.
1/66
Calculate prob of picking 2 w when two letters picked without replacement from wjjrjjryrwwj.
1/22
Three letters picked without replacement from {x: 10, z: 2, f: 6}. What is prob of picking 2 x and 1 f?
45/136
Two letters picked without replacement from foooodooofoodo. Give prob of picking 1 o and 1 f.
20/91
What is prob of picking 2 n when two letters picked without replacement from nnfoxdnnfoon?
5/33
Two letters picked without replacement from {y: 5, u: 4, x: 1, a: 1}. Give prob of picking 1 u and 1 y.
4/11
What is prob of picking 2 u when two letters picked without replacement from {o: 1, u: 2, n: 1, k: 1, t: 2}?
1/21
Three letters picked without replacement from nuiuanniinnnwawnn. Give prob of picking 1 u, 1 n, and 1 a.
4/85
Three letters picked without replacement from {i: 11, p: 1, x: 2, z: 1, b: 2, n: 1}. Give prob of picking 1 i, 1 p, and 1 n.
11/816
What is prob of picking 1 s, 1 i, and 1 g when three letters picked without replacement from sgsi?
1/2
Three letters picked without replacement from {q: 4, x: 1, o: 1, c: 2, u: 3, j: 1}. Give prob of picking 2 c and 1 j.
1/220
Two letters picked without replacement from {t: 1, r: 5, j: 6, p: 3, f: 2, o: 2}. What is prob of picking 1 p and 1 r?
5/57
What is prob of picking 2 j when two letters picked without replacement from adjhj?
1/10
What is prob of picking 1 y, 1 k, and 1 p when three letters picked without replac
|
{
"pile_set_name": "DM Mathematics"
}
|
2*c**3 - 19*c**3 - 9*c**3 - a wrt c?
-18*c**2
Let a(l) be the second derivative of -l**7/14 - 2*l**6/3 + 53*l**3/3 + 14*l + 1. Find the second derivative of a(z) wrt z.
-60*z**3 - 240*z**2
Let f = 2865 - 2865. Let m(w) be the second derivative of 0*w**2 + f*w**4 - 5*w + 0 - 1/6*w**3 + 1/2*w**5. Find the second derivative of m(b) wrt b.
60*b
Let c(k) be the first derivative of 642*k**5/5 - 291*k - 452. What is the derivative of c(y) wrt y?
2568*y**3
Let y = -97 - -101. Suppose u = -4*u + 10. Find the third derivative of -5*o**4 + 9*o - 9*o + y*o**u wrt o.
-120*o
Suppose 24 = 4*i - 7*i. Let t be -2 - -1 - (i + 4). Find the third derivative of 231*p + p**t - 2*p**2 - 231*p wrt p.
6
Let w(d) = -223*d**5 + 5*d**2 + 17*d + 4. Let l(c) = 222*c**5 - 7*c**2 - 16*c - 5. Let i(j) = -4*l(j) - 5*w(j). Find the third derivative of i(q) wrt q.
13620*q**2
Let v(a) = 31*a**2 + 2*a + 391. Let s(q) = q**2 + 1. Let o(i) = 6*s(i) - v(i). Differentiate o(u) wrt u.
-50*u - 2
Let g(s) be the second derivative of 107*s**6/30 - 81*s**2/2 - s - 9. Differentiate g(j) wrt j.
428*j**3
What is the derivative of 25 - 24 - 113 + 25*n - 12*n + 205*n wrt n?
218
Let m(x) = x - 1. Let k(p) = -5*p + 6. Let j(b) = k(b) + 6*m(b). Let s(t) = 24*t + 41. Let y(n) = -5*j(n) - s(n). What is the derivative of y(r) wrt r?
-29
Let u(a) be the third derivative of 0 + 0*a**7 + 0*a**3 - 12*a**2 + 0*a**6 + 0*a**4 - 9/112*a**8 + 0*a + 8/15*a**5. What is the third derivative of u(q) wrt q?
-1620*q**2
Let q(o) = 41*o**4 + 2*o**3 - 2*o**2 - 52. Let p(m) = 82*m**4 + 5*m**3 - 5*m**2 - 105. Let h(x) = -2*p(x) + 5*q(x). Differentiate h(a) with respect to a.
164*a**3
Find the first derivative of -876*d**2 + 876*d**2 + 107*d**3 - 31 wrt d.
321*d**2
Suppose 2*c - 4 + 23 = 5*n, -2*n + 5*c + 16 = 0. Suppose -n*h + 3 = -2*h. What is the third derivative of h*m**2 - 2*m**2 + 3*m**2 - 5*m**5 wrt m?
-300*m**2
Let s(a) = -43*a - 255. Let p be s(-6). Let q(k) be the first derivative of -1/2*k**4 + 0*k**p + 2*k**2 + 0*k - 5. What is the second derivative of q(g) wrt g?
-12*g
Let m(l) = -46*l**3 + l**2 - 1. Let d be ((-6)/18)/(1/3). Let z be m(d). Find the second derivative of -46 + z + 3*i + 2*i**3 wrt i.
12*i
Let m(r) be the first derivative of -33*r**3 - r**2/2 + 505*r - 598. Differentiate m(j) wrt j.
-198*j - 1
Let a(h) be the second derivative of -h**5/20 - 35*h**4/12 + h**3/3 + 19*h**2/2 - 20*h. Find the second derivative of a(p) wrt p.
-6*p - 70
Let x(f) be the third derivative of 23*f**5/60 + f**4/6 + 5*f**3/6 + 69*f**2. What is the second derivative of x(v) wrt v?
46
Let f(g) = 13*g - 8. Let h(p) = -2*p - 11. Let o be h(-5). Let s(y) = y. Let z(j) = o*f(j) - 5*s(j). What is the first derivative of z(k) wrt k?
-18
Let c(p) = -p**4 - 2*p**3. Let z(h) = -481*h**4 + 6*h**3 + 218*h**2. Let a(o) = -3*c(o) - z(o). Find the third derivative of a(k) wrt k.
11616*k
Let f(a) be the third derivative of -41*a**6/30 - 2*a**5/3 - a**4/12 - 378*a**2. Find the third derivative of f(b) wrt b.
-984
Suppose -11*t + 155 = -6*t. Let i = t + -27. What is the second derivative of -5*r**5 - 3*r**5 - 4*r - i*r + 4*r wrt r?
-160*r**3
Let i(z) = z**2 - 5*z - 20. Let u be i(8). What is the third derivative of 25*r**4 - 11*r**2 - 26*r**4 + 25*r**u wrt r?
576*r
Let w(n) be the first derivative of 0*n**2 + 0*n - 20 - 20/3*n**3 + 5/4*n**4. What is the third derivative of w(o) wrt o?
30
Let m(n) be the second derivative of 113*n**5/20 - 7*n**4/2 + 6*n + 13. What is the third derivative of m(j) wrt j?
678
Let i(t) = t - 4. Let o be i(8). What is the second derivative of 45*x**3 - 5*x**o + 12*x - 45*x**3 wrt x?
-60*x**2
What is the third derivative of -2*v**2 - 51*v - v**2 - 50*v - 80*v**6 + 91*v wrt v?
-9600*v**3
Let u be 38/20 - 2/(-20). What is the second derivative of -3*n**u + 8*n**2 + 13*n - 33*n**2 + 19*n wrt n?
-56
Let d = -67 - -69. Find the third derivative of -4*f - 3*f**4 + 20*f**d + 7*f**3 - 18*f**2 + 0*f**4 wrt f.
-72*f + 42
Let u = 4 + 0. Find the first derivative of -13 + 14*f**3 + f**3 - u*f**3 wrt f.
33*f**2
Find the second derivative of 6*b - 50*b**3 - 8*b + 107*b**3 + 266*b**3 - 7 - 92 wrt b.
1938*b
Find the second derivative of 16*z**2 + 907 + 28*z - 907 wrt z.
32
Let t(x) be the second derivative of -42*x**5/5 + 5*x**4/4 - x**3/6 + x - 5. Find the third derivative of t(v) wrt v.
-1008
Let t = -3 - -5. Find the second derivative of 0*q**2 - 72*q**5 + 61*q**5 + 20*q + 0*q**t wrt q.
-220*q**3
Let b(i) = i**2 + 2*i. Let g be b(-4). Let d = g - 6. Find the third derivative of -3*r**5 - 3*r**5 + 5*r**5 + 2*r**d wrt r.
-60*r**2
Differentiate -105*r + 75 - 41 + 179*r + 205*r - 36 wrt r.
279
Let r(u) = -u**3 + 2. Let g(p) = -p**3 + 4*p**2 - 5*p + 6. Let d be g(3). Let k be r(d). Find the second derivative of 3*j + 2*j + j**k - 6*j**2 wrt j.
-10
Let c be ((-5)/(-6))/((-2)/(-12)). Let y be (-5)/(-10)*(-1 + c). Find the second derivative of 0*t**2 - 18*t**5 + 20*t**5 + 0*t**y + 9*t wrt t.
40*t**3
What is the third derivative of 64*t**4 - 33*t**4 - 35*t**4 - 3*t + t + 81*t**2 + 28*t**3 wrt t?
-96*t + 168
Differentiate -15*z**3 + 39*z**3 - 11*z**3 + 80 - 15*z**3 - 8 + 3*z**2 wrt z.
-6*z**2 + 6*z
Suppose 267 = 5*b + 7. What is the third derivative of 25*y**2 - y**2 + 19*y**2 - b*y**6 + 30*y**6 wrt y?
-2640*y**3
Let a be 1/(-2) + 5/2. Let d be (a - 3)*-4*1. What is the derivative of -13*c**d + 70 - 137 + 82 wrt c?
-52*c**3
What is the third derivative of 18*p**2 - 38*p**5 - 96*p**2 - 4*p**6 - 30*p**2 + 0*p**6 wrt p?
-480*p**3 - 2280*p**2
Let q(o) = o**2 - 5*o. Let g be q(6). Differentiate 4*n**3 + n**3 + 6*n**3 - g*n**3 + 18 with respect to n.
15*n**2
Suppose -16 = -0*m - m. Suppose q = -j + 4, 4*j + 0*j = -3*q + m. What is the derivative of -1 + q*u**4 - 4*u**4 + 6*u**4 - 3 wrt u?
8*u**3
Let g(j) = -115*j**2 - 6*j - 397. Let h(p) = 459*p**2 + 27*p + 1588. Let w(r) = 9*g(r) + 2*h(r). What is the first derivative of w(a) wrt a?
-234*a
What is the second derivative of -292*y**2 + 343*y + 785*y**2 + 168*y + 40*y + 253*y wrt y?
986
Let i(q) be the second derivative of 33*q**5/10 + 9*q**3/2 - q + 1. Find the second derivative of i(a) wrt a.
396*a
Let a(z) be the second derivative of 11*z**6/30 + 8*z**3 - 2*z - 7. What is the second derivative of a(f) wrt f?
132*f**2
Let v be (18 - 33)*4/(-10). What is the third derivative of 24*r**6 + 23*r**v - 46*r**6 + 10*r**2 wrt r?
120*r**3
What is the first derivative of 6*o**2 + 49*o - 8*o**2 - 332 - 192*o - 270 wrt o?
-4*o - 143
Let z(g) = -205*g**3 + 12*g**2 - 11*g - 7. Let b(l) = -204*l**3 + 10*l**2 - 10*l - 8. Let p(h) = 6*b(h) - 5*z(h). Find the second derivative of p(r) wrt r.
-1194*r
What is the derivative of 68*t + 28*t + 54 + 63*t + 29 - 14*t wrt t?
145
Find the third derivative of -3*f + 3*f - f**4 + 166*f**5 - 143*f**2 + 182*f**5 - 462*f**5 wrt f.
-6840*f**2 - 24*f
Let j(p) be the second derivative of -p**6/10 - 9*p**5/20 - 31*p**2 + 2*p + 3. What is the derivative of j(q) wrt q?
-12*q**3 - 27*q**2
Let m(j) be the second derivative of j**4/6 - 107*j**3/6 + 2*j + 140. Find the second derivative of m(k) wrt k.
4
Find the second derivative of -161*x**3 - 47*x - 87*x + 32*x - 58*x wrt x.
-966*x
Let n(h) = h + 2. Let y be n(5). What is the second derivative of -y*d + 4*d**4 - 2*d + 18*d**4 - 3*d wrt d?
264*d**2
Suppose 2*h = 3*h - 7. What is the third derivative of -n**2 - h*n**6 + 11*n**2 + 16*n**6 wrt n?
1080*n**3
Differentiate 4*a - 30 - 4*a - 21*a**3 - 27*a**3 - a**2 with respect to a.
-144*a**2 - 2*a
Differentiate -82*v + 64 + 3*v**2 - 87*v + 169*v wrt v.
6*v
Let c(d) = -3*d**3 + 14*d**2 - 7*d + 44. Let g(s) = -2*s**3 + 8*s**2 - 3*s + 22. Let x(z) = -4*c(z) + 7*g(z). What is the first derivative of x(w) wrt w?
-6*w**2 + 7
Let k(g) = 2*g**2 - 6*g. Let p be k(4). Suppose p*x = 4*x. Differentiate x - 6 + 1 + 0*o**2 - 5*o**2 with respect to o.
-10*o
Suppose -11*y + 10*y + 6 = 0. What is the derivative of 30*c + y - 13*c - 16*c - 11*c wrt c?
-10
Let p(i) be the third derivative of 13*i**6/24 + i**5/6 - i**4/12 - 60*i**2. Find the third derivative of p(r) wrt r.
390
Suppose -11*o = -19*o + 7*o. Let g(b) be the second derivative of b**2 + 2/3*b**4 + 0*b**3 + o + 2*b. Find the first derivative of g(j) wrt j.
16*j
What is the derivative of -54562*d**3 - 66 - 6*d**2 + 161 + 54559*d**3 wrt d?
-9*
|
{
"pile_set_name": "DM Mathematics"
}
|
1?
4
Calculate the remainder when 9825 is divided by 36.
33
Calculate the remainder when 5073 is divided by 12.
9
What is the remainder when 407 is divided by 120?
47
Calculate the remainder when 3930 is divided by 127.
120
What is the remainder when 626 is divided by 35?
31
What is the remainder when 1537 is divided by 35?
32
Calculate the remainder when 1430 is divided by 181.
163
What is the remainder when 957 is divided by 25?
7
Calculate the remainder when 1391 is divided by 17.
14
What is the remainder when 3149 is divided by 38?
33
What is the remainder when 1015 is divided by 46?
3
Calculate the remainder when 619 is divided by 125.
119
What is the remainder when 1470 is divided by 25?
20
What is the remainder when 77 is divided by 33?
11
Calculate the remainder when 19 is divided by 2.
1
Calculate the remainder when 91 is divided by 19.
15
Calculate the remainder when 1221 is divided by 13.
12
What is the remainder when 784 is divided by 280?
224
Calculate the remainder when 2412 is divided by 150.
12
Calculate the remainder when 436 is divided by 132.
40
Calculate the remainder when 1213 is divided by 9.
7
Calculate the remainder when 422 is divided by 4.
2
What is the remainder when 718 is divided by 45?
43
What is the remainder when 7134 is divided by 27?
6
Calculate the remainder when 238 is divided by 19.
10
Calculate the remainder when 56794 is divided by 13.
10
What is the remainder when 271 is divided by 101?
69
Calculate the remainder when 213 is divided by 155.
58
Calculate the remainder when 62 is divided by 13.
10
Calculate the remainder when 824 is divided by 9.
5
Calculate the remainder when 555 is divided by 47.
38
Calculate the remainder when 7621 is divided by 25.
21
What is the remainder when 408 is divided by 41?
39
What is the remainder when 784 is divided by 381?
22
What is the remainder when 846 is divided by 203?
34
What is the remainder when 151 is divided by 49?
4
What is the remainder when 88 is divided by 28?
4
What is the remainder when 2245 is divided by 41?
31
Calculate the remainder when 3059 is divided by 153.
152
What is the remainder when 234 is divided by 60?
54
Calculate the remainder when 2131 is divided by 294.
73
Calculate the remainder when 110 is divided by 28.
26
What is the remainder when 74 is divided by 47?
27
What is the remainder when 616 is divided by 125?
116
What is the remainder when 471 is divided by 110?
31
Calculate the remainder when 2948 is divided by 982.
2
Calculate the remainder when 1776 is divided by 534.
174
Calculate the remainder when 398 is divided by 21.
20
What is the remainder when 58 is divided by 19?
1
What is the remainder when 595 is divided by 120?
115
Calculate the remainder when 431 is divided by 24.
23
Calculate the remainder when 2637 is divided by 165.
162
What is the remainder when 374 is divided by 62?
2
What is the remainder when 168 is divided by 43?
39
Calculate the remainder when 128 is divided by 26.
24
Calculate the remainder when 65 is divided by 11.
10
What is the remainder when 3607 is divided by 899?
11
What is the remainder when 710 is divided by 82?
54
Calculate the remainder when 372 is divided by 40.
12
Calculate the remainder when 356 is divided by 89.
0
Calculate the remainder when 544 is divided by 14.
12
What is the remainder when 40 is divided by 14?
12
Calculate the remainder when 28 is divided by 24.
4
Calculate the remainder when 38699 is divided by 25.
24
What is the remainder when 387 is divided by 64?
3
What is the remainder when 2727 is divided by 26?
23
Calculate the remainder when 4046 is divided by 156.
146
What is the remainder when 295 is divided by 13?
9
What is the remainder when 3323 is divided by 16?
11
Calculate the remainder when 404 is divided by 339.
65
Calculate the remainder when 309 is divided by 26.
23
Calculate the remainder when 1631 is divided by 32.
31
Calculate the remainder when 6553 is divided by 16.
9
What is the remainder when 242 is divided by 58?
10
What is the remainder when 35 is divided by 25?
10
Calculate the remainder when 494 is divided by 90.
44
Calculate the remainder when 14 is divided by 2.
0
Calculate the remainder when 1359 is divided by 62.
57
What is the remainder when 633 is divided by 321?
312
Calculate the remainder when 185 is divided by 17.
15
Calculate the remainder when 22 is divided by 14.
8
Calculate the remainder when 22 is divided by 15.
7
What is the remainder when 1620 is divided by 1619?
1
What is the remainder when 74 is divided by 34?
6
What is the remainder when 142 is divided by 67?
8
What is the remainder when 104 is divided by 53?
51
What is the remainder when 68 is divided by 35?
33
What is the remainder when 864 is divided by 429?
6
Calculate the remainder when 115 is divided by 43.
29
Calculate the remainder when 401 is divided by 81.
77
What is the remainder when 596 is divided by 560?
36
What is the remainder when 156 is divided by 153?
3
What is the remainder when 136 is divided by 6?
4
What is the remainder when 3665 is divided by 7?
4
Calculate the remainder when 1519 is divided by 39.
37
Calculate the remainder when 1994 is divided by 105.
104
Calculate the remainder when 429 is divided by 87.
81
Calculate the remainder when 400 is divided by 130.
10
Calculate the remainder when 127 is divided by 21.
1
Calculate the remainder when 934 is divided by 354.
226
Calculate the remainder when 389 is divided by 18.
11
What is the remainder when 1667 is divided by 19?
14
Calculate the remainder when 226 is divided by 23.
19
What is the remainder when 50 is divided by 13?
11
Calculate the remainder when 1087 is divided by 204.
67
Calculate the remainder when 47 is divided by 5.
2
What is the remainder when 94 is divided by 10?
4
Calculate the remainder when 151 is divided by 27.
16
Calculate the remainder when 614 is divided by 31.
25
Calculate the remainder when 75 is divided by 26.
23
Calculate the remainder when 226 is divided by 19.
17
Calculate the remainder when 145 is divided by 23.
7
What is the remainder when 7471 is divided by 53?
51
What is the remainder when 6091 is divided by 53?
49
What is the remainder when 6497 is divided by 325?
322
What is the remainder when 56229 is divided by 72?
69
Calculate the remainder when 1767 is divided by 13.
12
What is the remainder when 355 is divided by 39?
4
Calculate the remainder when 194 is divided by 33.
29
Calculate the remainder when 808 is divided by 22.
16
What is the remainder when 404 is divided by 27?
26
What is the remainder when 887 is divided by 7?
5
Calculate the remainder when 221 is divided by 28.
25
What is the remainder when 191 is divided by 65?
61
What is the remainder when 829 is divided by 83?
82
Calculate the remainder when 334 is divided by 85.
79
What is the remainder when 125 is divided by 52?
21
Calculate the remainder when 120 is divided by 11.
10
Calculate the remainder when 525 is divided by 24.
21
What is the remainder when 596 is divided by 152?
140
Calculate the remainder when 83 is divided by 5.
3
What is the remainder when 137 is divided by 3?
2
What is the remainder when 314 is divided by 105?
104
What is the remainder when 50 is divided by 17?
16
What is the remainder when 2827 is divided by 23?
21
Calculate the remainder when 878 is divided by 291.
5
What is the remainder when 607 is divided by 13?
9
Calculate the remainder when 254 is divided by 37.
32
Calculate the remainder when 444 is divided by 95.
64
Calculate the remainder when 515 is divided by 43.
42
What is the remainder when 371 is divided by 351?
20
Calculate the remainder when 359 is divided by 24.
23
What is the remainder when 2816 is divided by 561?
11
What is the remainder when 300 is divided by 11?
3
What is the remainder when 17172 is divided by 226?
222
Calculate the remainder when 4169 is divided by 15.
14
Calculate the remainder when 1152 is divided by 378.
18
What is the remainder when 440 is divided by 49?
48
Calculate the remainder when 353 is divided by 12.
5
Calculate the remainder when 78 is divided by 69.
9
Calculate the remainder when 1614 is divided by 15.
9
What is the remainder when 25917 is divided by 90?
87
What is the remainder when 274 is divided by 257?
17
What is the remainder when 587 is div
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{
"pile_set_name": "DM Mathematics"
}
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6
Let t(w) = 12*w - 13. Let q(y) = 35*y - 38. Suppose 0 = 18*o + 68 + 40. Let a = -32 + 49. Let v(p) = a*t(p) + o*q(p). Differentiate v(l) wrt l.
-6
Let u = -5 - -10. Find the second derivative of -24*k + 8*k**2 + 17*k**u + k - 8*k**2 wrt k.
340*k**3
Let w(z) be the first derivative of z**7/15 + 5*z**3/3 - 12*z**2 + 27. Let a(o) be the second derivative of w(o). Find the first derivative of a(j) wrt j.
56*j**3
Let d(c) = -19*c**4 + 5*c**2 - 5*c + 38. Let f(z) = -18*z**4 + 6*z**2 - 6*z + 39. Let y(m) = 6*d(m) - 5*f(m). What is the first derivative of y(r) wrt r?
-96*r**3
Suppose 0 = 6*s - 2*s - 8. Let m be 30/(-3)*s/(-4). What is the second derivative of 2*q**3 - 2*q**3 + m*q + 3*q**4 wrt q?
36*q**2
Let h be (3/6)/(4 + 174/(-44)). What is the second derivative of -28*t**3 - 23*t - h*t**3 + 18*t**3 wrt t?
-126*t
Let w(k) be the second derivative of -5*k**2 + 1/10*k**5 + 0 + 0*k**3 + 0*k**4 - 3*k. What is the derivative of w(p) wrt p?
6*p**2
Let b(d) be the second derivative of 205*d**7/21 - 37*d**3/2 - 3*d**2/2 + 238*d + 1. Find the second derivative of b(n) wrt n.
8200*n**3
Let x(z) be the second derivative of 299*z**7/42 + 37*z**4/2 + 289*z. Find the third derivative of x(j) wrt j.
17940*j**2
Let h(g) be the third derivative of g**7/105 + 7*g**6/15 - 47*g**5/30 + 29*g**2. What is the third derivative of h(m) wrt m?
48*m + 336
Let p(l) = 160*l**2 - 15*l - 699. Let r(h) = 240*h**2 - 24*h - 1049. Let k(f) = 8*p(f) - 5*r(f). What is the derivative of k(v) wrt v?
160*v
Let y be 4*4*((-45)/(-12))/5. Differentiate 12 + 3*q**3 - 8*q**3 + 11*q**3 + y*q**3 wrt q.
54*q**2
What is the first derivative of -41 + 356*j**4 - 4*j**3 - 364*j**4 + 85 wrt j?
-32*j**3 - 12*j**2
Let g(q) = -185*q**3 - 933*q - 5. Let x(u) = 185*u**3 + 936*u + 6. Let n(d) = -6*g(d) - 5*x(d). Find the second derivative of n(m) wrt m.
1110*m
Find the third derivative of -4*m**3 - 74*m**2 + 0*m**3 - m**4 + 0*m**3 - m**3 wrt m.
-24*m - 30
Let d(f) = f**3 + 9*f**2 + 14*f + 8. Let s be d(-7). Differentiate -13*c**4 + 11 + s + 0 wrt c.
-52*c**3
Let q(s) be the first derivative of 6*s**5 - 7*s**4/4 + 367*s**3/3 + 13. Find the third derivative of q(z) wrt z.
720*z - 42
Suppose -a = -6 + 3. Let i(d) = -d**3 + 3*d**2 + d - 1. Let x be i(a). Find the second derivative of -x - 6*n + 54*n**2 + 2 - 44*n**2 wrt n.
20
Let u(o) = o**2 + 2*o. Let i(y) = 7*y**2 + 63*y. Let f(s) = -i(s) + 3*u(s). Find the second derivative of f(c) wrt c.
-8
Let v be (-2)/(-2)*-1 - 2*-2. What is the derivative of 19 - 16*o + 2*o**v + 16*o wrt o?
6*o**2
Find the second derivative of 7 - 4 + 0 + 2*u - 60*u**2 wrt u.
-120
Let f(u) = -5*u**4 + u**3 + u + 1. Let j(x) = 56*x**4 - 3*x**3 - 3*x - 5. Let s(r) = 6*f(r) + 2*j(r). Differentiate s(w) with respect to w.
328*w**3
Let p(f) be the second derivative of -61*f**5/20 + f**3/6 + 151*f**2/2 + 330*f. Find the second derivative of p(n) wrt n.
-366*n
Let r(u) be the third derivative of -19*u**9/14 - 8*u**5/5 - 48*u**2 + 2. What is the third derivative of r(h) wrt h?
-82080*h**3
Let z be -2 + 1 - (4 + 2*-475). What is the second derivative of -z*v**5 + 917*v**5 - 11*v + 37*v wrt v?
-560*v**3
Find the second derivative of -916*u - 4*u**3 + 23*u**3 + 0*u**3 - 4*u**2 + u**2 + 1492*u wrt u.
114*u - 6
Let f(m) = -5*m**2 + 3*m + 9. Let g(a) = 16*a**2 - 10*a - 28. Suppose -4*r + 7 = -17. Let y(d) = r*g(d) + 20*f(d). Find the first derivative of y(k) wrt k.
-8*k
Let k(d) be the third derivative of -d**7/210 + d**6/60 - 32*d**5/15 + 135*d**2. What is the third derivative of k(c) wrt c?
-24*c + 12
Let v(s) = 879*s**3 - 23*s - 13. Let n(k) = 1760*k**3 - 45*k - 26. Let x(m) = -4*n(m) + 7*v(m). What is the second derivative of x(h) wrt h?
-5322*h
Let p(m) be the first derivative of -m**8/112 + m**4/12 + 6*m**2 - 9. Let h(j) be the second derivative of p(j). Find the second derivative of h(i) wrt i.
-60*i**3
Let q(i) be the third derivative of -5/112*i**8 + 0 + 0*i**7 + 0*i**6 + 0*i + 2/15*i**5 - 16*i**2 + 0*i**3 + 0*i**4. What is the third derivative of q(h) wrt h?
-900*h**2
Let v(g) = -79*g**3 + 9*g**2 - 92*g. Let n(i) = -237*i**3 + 30*i**2 - 277*i. Let z(d) = 3*n(d) - 10*v(d). Find the second derivative of z(f) wrt f.
474*f
Let b(l) = -6*l**2 - 20*l - 40. Let j(v) = 7*v**2 + 22*v + 40. Let o(y) = -4*b(y) - 3*j(y). What is the derivative of o(t) wrt t?
6*t + 14
Suppose 42 = -3*m - 33. Let r = 27 + m. What is the second derivative of 3*g + 14*g**r - 2*g + 6*g - 3*g**2 wrt g?
22
Let j(l) be the third derivative of -51*l**7/70 - l**6/60 - 7*l**5/15 - l**4/24 - 28*l**2. Find the third derivative of j(c) wrt c.
-3672*c - 12
Let i(v) be the third derivative of -v**8/960 + v**6/240 - v**4/8 + 9*v**2. Let l(y) be the second derivative of i(y). Find the second derivative of l(u) wrt u.
-42*u
Let j(v) be the first derivative of -15*v - 25 + 5/2*v**2. Differentiate j(w) with respect to w.
5
Suppose -d + 5*d - 48 = 0. Suppose 15 = d*i - 7*i. What is the third derivative of -3*o**i + 2*o**2 - 2*o**3 - o**2 wrt o?
-30
Let d = 591/220 - 29/11. Let l(c) be the second derivative of 0*c**4 + 3*c**2 + 0 + 0*c**3 - d*c**5 - 7*c. Find the first derivative of l(o) wrt o.
-3*o**2
Suppose 3*h - 5*h + 24 = 0. What is the third derivative of -11*x**3 + 16*x**4 + 23*x**3 - h*x**3 + 10*x**2 wrt x?
384*x
Suppose 3*d - 21 = 15. Suppose -5*g + d + 13 = 0. What is the first derivative of -g*v**4 + 11 - 17 + 10*v**4 wrt v?
20*v**3
Let c be -7*(-2)/(-4)*24/(-21). Differentiate 19 + 0*m**4 + 30*m**c - 18 wrt m.
120*m**3
Let t be (0/(-4) - -7) + (-3 - -2). Find the third derivative of 2*s**5 + 0*s**5 + 3*s**5 - 15*s**2 + t*s**5 wrt s.
660*s**2
Suppose 8*k - 104 = -0*k. What is the third derivative of -27*f**4 + 34*f**4 - k*f**2 - 36*f**4 wrt f?
-696*f
Let a be -3 + 2 - -1*11. Let t be (-12)/(1 + 3) + a. What is the first derivative of 8 - 1 - t*q**3 + 0 wrt q?
-21*q**2
Let o = 10 + -10. Suppose n + 2*x - 13 = o, 4*n - x = n + 11. What is the second derivative of n*q - 9 - 3*q**2 + 9 wrt q?
-6
Suppose -9 = 6*o - 33. What is the derivative of 0*q**o + 98 - 86 - q**4 - 2*q**4 wrt q?
-12*q**3
Let s(i) be the first derivative of 0*i**4 - 7 + 0*i - 1/5*i**5 + 0*i**2 - 4/3*i**3. What is the third derivative of s(n) wrt n?
-24*n
Let u(b) be the first derivative of -7*b**4/4 + 78*b - 117. Differentiate u(n) wrt n.
-21*n**2
Let t(x) = 9*x**2 - 9 + 4*x**2 - 3*x**2. Let a = 2 - 3. Let o(p) = p**2 - 1. Let k(j) = a*o(j) + t(j). What is the first derivative of k(h) wrt h?
18*h
Let m = 199 + -197. Let h(u) be the first derivative of -6 + 1/2*u**m + 0*u + 2*u**3. What is the second derivative of h(j) wrt j?
12
Let i(t) = t**3 - 8*t**2 + 9*t - 14. Let p be i(7). What is the second derivative of p*u**2 - u - 9*u**2 + 4*u wrt u?
-18
Let h(b) be the first derivative of b**2 + 3 - 2*b - 5/6*b**3. Let i(w) be the first derivative of h(w). What is the derivative of i(u) wrt u?
-5
Let g(r) = 11*r + 5 - 8 + 2*r + 21*r**3. Let y(z) = 64*z**3 + 39*z - 8. Let v(l) = 8*g(l) - 3*y(l). What is the second derivative of v(m) wrt m?
-144*m
Find the third derivative of -a**2 - 37 - 3*a**3 + 1 + 3*a**3 - 337*a**5 + 12 wrt a.
-20220*a**2
Let r(u) be the third derivative of u**6/120 + 11*u**5/12 + u**4/4 - u**3/2 - 151*u**2. Find the second derivative of r(c) wrt c.
6*c + 110
Let p(y) = 84*y**3 + y**2 + 251*y - 17. Let h(i) = -21*i**3 - 62*i + 4. Let g(d) = -9*h(d) - 2*p(d). Find the second derivative of g(j) wrt j.
126*j - 4
Suppose 5*o - 3*o + 2*h = 74, -5*o + 3*h = -153. What is the second derivative of o*v + 36*v - 75*v - 51*v**5 wrt v?
-1020*v**3
Find the third derivative of 79*y**3 + 2*y + 91*y**3 - 3 + 2*y - 35*y**2 - 4*y wrt y.
1020
Let r(x) be the first derivative of -149*x**4/4 + 125*x**3/3 - 66. What is the third derivative of r(n) wrt n?
-894
Let a be ((-24)/(-4) - 3) + 2. What is the second derivative of -9*y - 13*y + 31*y + 7*y**a wrt y?
140*y**3
Differentiate -18 - 207*m**4 - 99 - 25 - 234*m**4 - 62 with respect to m.
-1764*m**3
Let p(k) be the first derivative of -55/4*k**4 + 0*k**3 + 0*k - 12 + 61/2*k**2. What is the second derivative of p(j) wrt j?
-330*j
Let z(n) be the second derivative of 0 - 1/3*n**3 - 13/20*n**5 + 0*n**2 - 7*n + 0*n**4. Find the second derivative of z(c) wrt c.
-78*c
Let h(c) = -47*c**3 - 8*c**2 - 14*c + 195. Let p(n) = -
|
{
"pile_set_name": "DM Mathematics"
}
|
)/q))/q)**16*(q**(2/7))**(-1/24)*((q**(1/2)/q)/((q*q*q**(-1/4))/q))/(q**(-6)/q*q*q*q*q*q**(9/4)) assuming q is positive.
q**(131/12)
Simplify (((n*n/(n*n**32))/n)/(n*n**(-9/8)*n)*(n*n/(n**(1/11)*n))/(n**(-43)*n))**(-5/9) assuming n is positive.
n**(-4415/792)
Simplify ((b**(-1/4)/((b/((b/b**(-9))/b))/b))/(b**(-2/19)/b**(-2/31)))**50 assuming b is positive.
b**(517775/1178)
Simplify (p**(-1/21)*p**(-13/4))/(p**(-16)/p)**22 assuming p is positive.
p**(31139/84)
Simplify (u*u**(3/5)*u*u**1)/(u**(-1/6)/(u/(u*u*u**(1/2)*u)))*(u**1)**40*u/((u/(u**(-1/4)*u))/u)*u**0 assuming u is positive.
u**(2581/60)
Simplify x**6*x*x*x*x**(-6)*x*(x/x**(-1/2))**(1/16)*((x**(-1/3))**42)**(-7) assuming x is positive.
x**(3267/32)
Simplify (j*j**(7/5)*(j/(j**9*j))/j*j*j*j*(j**2*j)/j*(j**(-10)/j)/j*j)**(-30) assuming j is positive.
j**408
Simplify a**(4/11)/(a**1*a)*a**(1/26)/a**46 assuming a is positive.
a**(-13613/286)
Simplify (((c**1)**(27/5)*(c*c*c/(c**1/c)*c*c)**41)**(-23))**(-19) assuming c is positive.
c**(459724/5)
Simplify (l**2/l**(-2))**(9/5)*((l/(l/l**(2/5)))/l*l**(1/2)/l)**23 assuming l is positive.
l**(-181/10)
Simplify ((x/x**(-2/5)*x)**19)**(-10/13)*x**(-4)/x**(2/17)*(x**(1/4))**44 assuming x is positive.
x**(-6231/221)
Simplify (q*q**(-1/30))**35/(q**(2/101)/(q/q**19*q)) assuming q is positive.
q**(10189/606)
Simplify (((d*d/(d*(d**(-7)*d)/d)*d*d)/d**(16/3))/(d**(-12/11)*d**7))**33 assuming d is positive.
d**(-41)
Simplify (v**5*v/((v**(-3/4)/v*v)/v))**(-2/17)/(v/(v**(-1/4)*v)*v**(-6))**(-1/17) assuming v is positive.
v**(-5/4)
Simplify (l/((l**(2/23)/l)/l)*(((l*l*l**(-2/53)*l)/l*l)/l)/l)/(l**(-1/10)*l**(4/9)/l) assuming l is positive.
l**(497081/109710)
Simplify (j**14*j**29*j*j)/(j/(j**7/j)*(j/(j*j/(j/(j/(j*j**42*j)*j))))/j*j) assuming j is positive.
j**8
Simplify (x**0*x*x*x*(x/x**(-7))/x)**(-4/7)/((x**(-1/6)*x**1/x)/((x/(x**(-1/4)*x)*x)/(x*x**(1/7)))) assuming x is positive.
x**(-457/84)
Simplify ((((k*(k/k**9*k)/k)/(k/(((k*k/k**(-3)*k*k)/k)/k)))**(-18))**(-31))**(1/67) assuming k is positive.
k**(-1674/67)
Simplify (s**(2/9)/((s/(s*s/(s*s**(2/7)*s)))/s))**(-6)*(s/s**(-2)*s)/(s*s**(3/5)*s)*(s**(-1))**27 assuming s is positive.
s**(-2648/105)
Simplify ((g*(g**(2/5)/g)/g)/(g*g**(-3))*((g*g**(1/2)/g)/g)**(-1/15))/(g**(-5)*g**7*(g**(1/4))**31) assuming g is positive.
g**(-499/60)
Simplify (((u**(-3/5))**(-29)/(((u*u/(u/(u/(u/u**(-5))*u)))/u)/u)**20)**34)**(-7) assuming u is positive.
u**(-139706/5)
Simplify ((g**1)**(2/37)*(g/(g/(g/g**1)))/(g/(g*g**(2/15)*g)))/(g/g**(3/10)*g*g*g**(2/37)*g)**(-32) assuming g is positive.
g**(67331/555)
Simplify (v**(-19))**20*((v/v**(-26))/v*v)**(-3/26) assuming v is positive.
v**(-9961/26)
Simplify ((s*s**(-6/11)*s)**7*s/(s/s**(2/9))*s**20)**(-46) assuming s is positive.
s**(-138460/99)
Simplify ((h**(4/7)*h**(-3/25)/h)/(h/h**(-8/5)*h*h**(-21)))**(1/4) assuming h is positive.
h**(2949/700)
Simplify ((v*v*v/(((v/v**(-1))/v)/v)*v)/(v/(v/v**(-4)))*v**(2/3)*v**(1/2))/(v**(2/7)/v**(-1/5)*(v*v**0)/v*v**4) assuming v is positive.
v**(983/210)
Simplify (((g/(g**2/g))**50/(g*g/(g/(g*g**(-6)))*g**(3/4)/g))**(-25))**(4/9) assuming g is positive.
g**(-425/9)
Simplify (r**(-1)/((r*r/(r**(-9)/r))/r)*(r/(r/r**8))/r**(-8))/(r/r**(-1/2)*r*r*r**11)**(-1/12) assuming r is positive.
r**(125/24)
Simplify (((z**(-2/5)/z*z)/((z/(z**(2/5)/z))/z*z))/(z**(-11)*z**(-1/11)))**46 assuming z is positive.
z**(4600/11)
Simplify ((((c/((c**(-4)/c*c*c)/c*c))/c*c)/c**(-8))/((c/c**(3/4)*c)/(c**(-8/7)/c)))/((c*c/(c*c**(-4))*c*c/(c**3*c))/(c**8*c*c**(-2))) assuming c is positive.
c**(353/28)
Simplify ((o**(-2)/o*o)**(3/25)/(o**(2/13)/(o/(o/((o*o*o**(-6/5))/o)))))/((o/(o**(-3/7)/o))/(o/(o*o/o**2))*(o/(o**9/o))/(o/o**(-6))) assuming o is positive.
o**(27249/2275)
Simplify ((o**(1/12)/(o*o*o/((o/(o**(-3)/o)*o)/o)*o*o)*o**(-5/6)/o**(1/3))**(-48))**(-22/9) assuming o is positive.
o**(-1144/9)
Simplify w*w**(1/5)*w**(2/9)*((w/(w/(w**23*w))*w)/w)**(-2/79) assuming w is positive.
w**(2896/3555)
Simplify ((((s/s**11)/(s**(-11)*s))/(s**(-13)*s**(1/10)))**21)**(-39) assuming s is positive.
s**(-105651/10)
Simplify ((q/q**(-1))/(q**(-4)*q))/(q**(3/2)*q*q**5)*q**(-1)/q**(-5)*(q**3*q*q)/q**(-1/4) assuming q is positive.
q**(27/4)
Simplify (c**(-3/13)*c*c/c**(2/23))**(-8/5)*(c/(c/c**(2/17))*c**(-14)*c)**(-21) assuming c is positive.
c**(6807097/25415)
Simplify (((((w**(-17)*w)/w*w*w)/w)/(w/(w/w**(1/4))*w))/(w*w/w**(-3))**(-6/19))**(-3/37) assuming w is positive.
w**(3573/2812)
Simplify (x*x**(-2/5))**14*x**(-6)*x**0*(x*x/(x/x**6)*x)/(x*x**(2/5))*((x**(-1)/x)/x)**19 assuming x is positive.
x**(-48)
Simplify ((i**(-1/7)*i)/i*i*i**(-1/9)*(i*i*i*i/(i/(i*i*i**(-1/3)/i*i)))/(i**(-5)/i))/((i**3/i**5)/((i/i**(-2/5))/i**(-2/11))) assuming i is positive.
i**(51956/3465)
Simplify (h**0*h)**(-10)*h/h**(-3/10)*h**(-2)*h*((h/(h**(-2/7)/h))/(h*(h*h**(1/4))/h))**(-41) assuming h is positive.
h**(-7303/140)
Simplify (q**(-7)/(((((q*q**3)/q)/q*q)/q)/q*q)*q**3/q*q**(2/3))/((q/(q*(q/(q*q*q**(-6)/q*q))/q)*q*q**(2/19))/(q**8*q/q**(2/9))) assuming q is positive.
q**(913/171)
Simplify (u*u**2)**(-3/44)/(u*u/((u/u**(2/13))/u)*u**6)*(u/(u/u**(1/4)*u))**(19/6)*u**(-3/4)*u*u*u**(7/5) assuming u is positive.
u**(-46237/5720)
Simplify ((m**0/m)/((m/(m**(-7)/m))/m))**(-30)/((m/m**(8/7)*m)/m**10)**(-1/65) assuming m is positive.
m**(122786/455)
Simplify (w*w**(1/7)*w*w*w/(w/w**(-6)))**(-6)/((((w/(w**(2/3)/w))/w)/w)**(4/21)/((w**5*w)/w**0)) assuming w is positive.
w**(1466/63)
Simplify ((t**(2/11)*t**(-3/5))/(t**(-2/5))**18)/((t*t**(4/7))/(t/(t**(4/5)/t*t)))**(-31) assuming t is positive.
t**(18979/385)
Simplify ((b*b*b**(-21))/b*b/(b/b**(10/7))*(b**(-2/7)/b)/(b*b/((b/(((b*b/b**(-1/4))/b)/b))/b)))**(-17/2) assuming b is positive.
b**(10523/56)
Simplify (i**(-9)*i*i/(i/(i/(i/i**(1/6))*i*i)*i))**(-41)/((i*i**(-1)*i**(2/15))/((i/i**(2/11))/i*i*((i*i**(-7/3))/i)/i)) assuming i is positive.
i**(30527/110)
Simplify (i**(-1/8)*i*i*i*i/i**13)**5/(((i**(-1)*i)/i)**9)**(-13) assuming i is positive.
i**(-1301/8)
Simplify p*(p/p**2)/p*p*p*p/p**(-1/11)*p**(7/10)*p**9 assuming p is positive.
p**(1297/110)
Simplify ((o**2)**(3/28)*(o**(-4)/o)**(-46))**(-7/5) assuming o is positive.
o**(-3223/10)
Simplify (m**17*m**29/m)/((m*m/(m/(m/(m*m/m**(-3/10)))*m)*m)/m**(-33)) assuming m is positive.
m**(123/10)
Simplify ((((r**(2/11))**(4/5))**31)**(-12/11))**(-15) assuming r is positive.
r**(8928/121)
Simplify (n**(2/35))**(1/37)*n**(-2/13)/(n*n*n**(-10/3)*n*n) assuming n is positive.
n**(-41362/50505)
Simplify ((((d/d**(-2/9))/d)/(d/d**(-9)))/((d**(6/11)/d)/(d/(d*d**(-7)))))**(3/44) assuming d is positive.
d**(-115/726)
Simplify (((r**(13/4)*((r*r**(-17))/r)/r)**(-50))**(3/5))**37 assuming r is positive.
r**(32745/2)
Simplify (l**(1/11)*l**(2/3)/l)**6*((l**(-14)/l)/(l/(l/(l*l**(2/17)))))**26 assuming l is positive.
l**(-78636/187)
Simplify (n**(3/8)/n**(-6))/(((n*(n/(((n*n*n**(-25))/n)/n))/n)/n)/n**(-3/5)) assuming n is positive.
n**(-769/40)
Simplify ((n*n**22*n*n**(-2/11)*n)/(n**(14/5)/(n/n**4)))**39 assuming n is positive.
n**(40794/55)
Simplify (((j*j**31)/j)/j*j*j**(-26/9))/((j*j*j**(-2)/j)/j)**37 assuming j is positive.
j**(919/9)
Simplify ((t**(-3)*t)/t**5)**(-43)*((t**(-2/3)*t)/t)/(t*t**(-1/5)*t)*(t*t**(1/4)/t)**(-3/13) assuming t is positive.
t**(232811/780)
Simplify ((p**(-1/4)/p)**(6/5))**(-3/23)*(p**7*p*p*(p/(((p*p*(p/p**1)/p)/p)/p))/p)**(-8) assuming p is positive.
p**(-3671/46)
Simplify ((f**(4/7)*f*f*f**(-2/31)/f*f*(f**(-1/3))**(-13))**(-39))**(-42) assuming f is positive.
f**(347334/31)
Simplify (l**(1/2)/l*l/l**(-7))**(-11)*(l/(l*l**(-1/3)*l))**(1/5)/(l**(-2/7))**3 assuming l is positive.
l**(-17173/210)
Simplify ((k/k**(2/5))**7/((k*k*(k*k**(-3))/k)/(k**(4/7)*k*k)))**(-1/68) assuming k is positive.
k**(-4/35)
Simplify a*a/(a*a/(a*(a**(-40)*a)/a))*(a*(a**(2/15)*a)/a*a)/a*a*((a**(-11/4)*a*a*a)/a)/a*a/(a**(-2/47)*a*a) assuming a is positive.
a**(-111599/2820)
Simplify (a**4/(a/((a**(-2/5)/a)/a)))/((a**0/a)/a**(-2))*a*a**6*a/a**(-8)*((a**(-2/17)*a)/a)/a*a*a**(-2/11) assuming a is positive.
a**(14306/935)
Simplify (u**(-1/2)/(u*u**4)*(u*(u/(u**(-1/4)*u))/u*u)**(-4/27))/((u*u*u**1)/(u**(1/5)*u))**15 assuming u is positive.
u**(-1765/54)
Simplify (i**(-1/5)*i)/i**(1/4)*i**4/i*i**(-8)*i**(1/14)*i**(-2/3)*i**(-2
|
{
"pile_set_name": "DM Mathematics"
}
|
b of picking 1 i and 1 y when two letters picked without replacement from {l: 2, a: 3, y: 1, n: 4, i: 1, p: 1}?
1/66
Three letters picked without replacement from {t: 10}. Give prob of picking 3 t.
1
Calculate prob of picking 1 l, 1 a, and 2 h when four letters picked without replacement from tqqhphqlqqlla.
3/715
What is prob of picking 1 a and 3 p when four letters picked without replacement from bppa?
0
What is prob of picking 3 d and 1 n when four letters picked without replacement from nnndddn?
4/35
Two letters picked without replacement from ttigiwwqqqtwui. Give prob of picking 2 q.
3/91
Two letters picked without replacement from xtxwiiaaawnx. Give prob of picking 1 a and 1 w.
1/11
Four letters picked without replacement from bizxxbvbvqxbxxx. What is prob of picking 1 i, 1 v, 1 b, and 1 z?
8/1365
Two letters picked without replacement from {i: 3, j: 15}. Give prob of picking 2 i.
1/51
Calculate prob of picking 3 k and 1 r when four letters picked without replacement from rkrrkrrrrrrrrkr.
4/455
Two letters picked without replacement from nwxwwwnwrwxw. Give prob of picking 1 x and 1 r.
1/33
Four letters picked without replacement from bbbbibbbbiiiiibibibi. Give prob of picking 1 i and 3 b.
99/323
Four letters picked without replacement from sjjjrsrsjj. Give prob of picking 2 r and 2 j.
1/21
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from nnnhnnh.
10/21
Four letters picked without replacement from {j: 2, n: 1, l: 2, f: 1, u: 1, e: 1}. What is prob of picking 1 u, 1 e, and 2 j?
1/70
Calculate prob of picking 3 b when three letters picked without replacement from {b: 9, i: 5}.
3/13
Calculate prob of picking 3 p when three letters picked without replacement from pppppp.
1
Two letters picked without replacement from {b: 7, i: 3, y: 2, k: 1, l: 5}. Give prob of picking 1 k and 1 l.
5/153
Four letters picked without replacement from rmlemmeqlemm. What is prob of picking 1 e, 2 l, and 1 q?
1/165
Calculate prob of picking 1 r, 1 t, and 1 n when three letters picked without replacement from rltrfnlth.
1/21
Calculate prob of picking 1 f and 3 x when four letters picked without replacement from xxpxpfpfxp.
4/105
What is prob of picking 2 b and 1 c when three letters picked without replacement from vevrdbrbc?
1/84
Two letters picked without replacement from sksssxxxkszxsst. What is prob of picking 1 k and 1 z?
2/105
Calculate prob of picking 1 p and 1 i when two letters picked without replacement from ppmpgpiippiipm.
4/13
Calculate prob of picking 1 f, 1 p, and 2 r when four letters picked without replacement from krkfrkrkrrkpfkff.
2/91
Four letters picked without replacement from rarctaatccatcartcac. Give prob of picking 2 c and 2 r.
15/1292
Four letters picked without replacement from zzzz. Give prob of picking 4 z.
1
Two letters picked without replacement from jmfsjgsmmmjw. Give prob of picking 1 f and 1 w.
1/66
Two letters picked without replacement from {c: 1, g: 1, w: 3, t: 2}. What is prob of picking 1 t and 1 g?
2/21
Two letters picked without replacement from iininnxiieee. Give prob of picking 1 n and 1 i.
5/22
Calculate prob of picking 1 d and 2 h when three letters picked without replacement from {u: 2, k: 2, h: 8, d: 1}.
14/143
Four letters picked without replacement from mtdrdrd. What is prob of picking 1 t, 1 m, and 2 d?
3/35
Calculate prob of picking 2 g and 1 u when three letters picked without replacement from wuwugwggwuwwu.
6/143
Three letters picked without replacement from {f: 1, s: 9, r: 5, e: 2, m: 1}. What is prob of picking 1 e, 1 r, and 1 m?
5/408
Four letters picked without replacement from zjjzzjjzsszj. Give prob of picking 3 j and 1 s.
4/99
Four letters picked without replacement from {a: 1, t: 10, r: 7}. What is prob of picking 1 t, 1 a, and 2 r?
7/102
Calculate prob of picking 1 l and 1 n when two letters picked without replacement from {x: 8, n: 5, i: 1, l: 4}.
20/153
Four letters picked without replacement from uxxggxyjx. What is prob of picking 1 u and 3 x?
2/63
What is prob of picking 4 k when four letters picked without replacement from kkkkkfkkkkkk?
2/3
Two letters picked without replacement from {t: 1, g: 1, a: 1}. Give prob of picking 1 g and 1 a.
1/3
Calculate prob of picking 2 e and 1 a when three letters picked without replacement from {e: 1, a: 2, s: 2, j: 1}.
0
Three letters picked without replacement from wjjwjjjjjjjjj. What is prob of picking 3 j?
15/26
Two letters picked without replacement from aajaaapaaanannwaaya. Give prob of picking 1 a and 1 p.
4/57
Calculate prob of picking 4 h when four letters picked without replacement from {h: 7, y: 5}.
7/99
Calculate prob of picking 1 j and 1 x when two letters picked without replacement from {x: 5, l: 3, i: 1, j: 1}.
1/9
Two letters picked without replacement from hrstwdw. What is prob of picking 1 r and 1 t?
1/21
Calculate prob of picking 1 n and 1 s when two letters picked without replacement from {b: 1, n: 5, p: 3, i: 1, s: 1, k: 1}.
5/66
Two letters picked without replacement from {c: 2, g: 7, a: 1}. What is prob of picking 1 c and 1 a?
2/45
Calculate prob of picking 1 r, 1 y, and 1 f when three letters picked without replacement from raarraaaaafayaatrttt.
1/285
Four letters picked without replacement from {g: 1, m: 1, t: 2, j: 2, s: 1}. What is prob of picking 2 t, 1 g, and 1 s?
1/35
Calculate prob of picking 1 m and 1 l when two letters picked without replacement from tttmmtlhh.
1/18
What is prob of picking 1 f and 3 t when four letters picked without replacement from {f: 3, t: 8}?
28/55
Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvvvv.
1
Two letters picked without replacement from hpphpppphp. Give prob of picking 2 h.
1/15
Two letters picked without replacement from nonmhohnnsnmnm. What is prob of picking 1 o and 1 h?
4/91
Two letters picked without replacement from {o: 1, r: 3, f: 2, p: 2, l: 1, t: 3}. What is prob of picking 1 f and 1 o?
1/33
What is prob of picking 1 z and 1 f when two letters picked without replacement from {f: 2, n: 3, z: 4, u: 2}?
8/55
Four letters picked without replacement from {u: 3, r: 4}. What is prob of picking 1 u and 3 r?
12/35
Four letters picked without replacement from yysts. Give prob of picking 2 s and 2 y.
1/5
Calculate prob of picking 1 v, 1 f, and 1 x when three letters picked without replacement from {f: 2, v: 1, c: 1, x: 2}.
1/5
Three letters picked without replacement from {t: 1, f: 4, x: 1, c: 4}. What is prob of picking 2 f and 1 x?
1/20
Two letters picked without replacement from kxoooooxoo. Give prob of picking 1 k and 1 o.
7/45
What is prob of picking 2 x and 2 f when four letters picked without replacement from {j: 3, v: 5, x: 3, f: 4, p: 1, z: 4}?
6/1615
Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {y: 2, e: 1, n: 4}.
8/21
Calculate prob of picking 2 t when two letters picked without replacement from {p: 1, y: 1, z: 4, u: 1, w: 4, t: 7}.
7/51
Two letters picked without replacement from kayvvbky. Give prob of picking 1 k and 1 b.
1/14
Calculate prob of picking 1 v and 1 a when two letters picked without replacement from aykvkvkyvqvq.
2/33
What is prob of picking 1 s and 3 i when four letters picked without replacement from {i: 11, s: 3}?
45/91
Four letters picked without replacement from {i: 3, b: 4}. Give prob of picking 4 b.
1/35
What is prob of picking 2 j and 1 b when three letters picked without replacement from {s: 4, y: 10, b: 1, j: 3, n: 1}?
1/323
Four letters picked without replacement from yyyeyeyyyyy. What is prob of picking 3 y and 1 e?
28/55
What is prob of picking 2 r and 1 b when three letters picked without replacement from rrburbrsr?
5/21
What is prob of picking 2 v when two letters picked without replacement from {y: 1, f: 1, v: 2, i: 3}?
1/21
Calculate prob of picking 1 u, 1 f, and 2 y when four letters picked without replacement from {y: 5, t: 1, u: 2, f: 11}.
55/969
Calculate prob of picking 2 x and 1 q when three letters picked without replacement from {x: 1, f: 4, q: 5}.
0
What is prob of picking 2 w, 1 h, and 1 x when four letters picked without replacement from wwwwwwwwwwxwhxwww?
13/170
Two letters picked without replacement from {d: 4, h: 2}. Give prob of pi
|
{
"pile_set_name": "DM Mathematics"
}
|
. Calculate -3*h(p) + 7*y(p).
-5*p + 3
Let w(a) = 5*a - 6. Let t = -2 + 6. Let p be -12*(-1)/t*-2. Let o(f) = -14*f + 17. Determine p*o(i) - 17*w(i).
-i
Let x(m) = 4*m**3 + 3*m**2 - 4*m + 3. Suppose -4*j - 7 = 4*k - 3*j, -k + j = 3. Let s(n) = n**3 + n**2 - n + 1. Give k*x(f) + 6*s(f).
-2*f**3 + 2*f
Let d(f) = f**2 + 5*f + 7. Suppose -4*p - 10 = -2*p. Let c(i) = 4*i + 6. Determine p*c(s) + 4*d(s).
4*s**2 - 2
Let h(n) = n**2 - n + 2. Let j(d) = 2*d - 2*d**2 + 18 - 34 + 10. Let o = -9 + 1. What is o*h(r) - 3*j(r)?
-2*r**2 + 2*r + 2
Suppose -q + 5*o = -20, 4*o - 45 = 4*q + 9*o. Let t(f) = 5*f + 7. Let i(n) be the first derivative of 2*n**2 + 6*n - 1. Give q*t(l) + 6*i(l).
-l + 1
Let f(a) be the first derivative of 7*a**4/4 + 5*a**3/3 - 3*a**2 + 6*a + 39. Let x(j) = -5 - j**2 + 7*j - 5*j**2 - 2 - 8*j**3. Give 7*f(g) + 6*x(g).
g**3 - g**2
Let g(m) = -4*m**3 + 2*m**2 + 2*m - 5. Suppose -30 = -5*q - q. Let v(n) = n**3 + 1. What is q*v(l) + g(l)?
l**3 + 2*l**2 + 2*l
Let p(j) = j**3 + j**2 - 1. Let s(w) = 9*w**3 + 11*w**2 - 12. Suppose -9*v + 5*v = 88. Determine v*p(r) + 2*s(r).
-4*r**3 - 2
Let a(d) = -d**2 + 2*d - 2. Let y(r) be the first derivative of -r**3 + 5*r**2/2 - 5*r + 5. Determine 15*a(c) - 6*y(c).
3*c**2
Let u(z) = -7*z**2 + 2*z + 4. Let v(g) = 20*g**2 - 6*g - 11. Calculate 11*u(h) + 4*v(h).
3*h**2 - 2*h
Let p(u) = 3*u**2 + 9*u. Let g(y) = -y**2 + 3*y**2 + 2*y**2 - 2*y**2 + 5*y. Give -9*g(k) + 5*p(k).
-3*k**2
Let j(s) = -3*s + 6. Let l(v) = 9*v - 7. Let m(w) be the second derivative of 19*w**3/6 - 7*w**2 + 2*w. Let o(c) = -13*l(c) + 6*m(c). Calculate 7*j(n) - 6*o(n).
-3*n
Suppose 0*c + 25 = 5*n - c, c = 2*n - 13. Let t(w) = -2*w**3 - 4*w**2 - 6*w - 4. Let p(k) = 2*k**3 + 5*k**2 + 7*k + 5. Determine n*p(f) + 5*t(f).
-2*f**3 - 2*f
Let i(r) = -7*r - 1. Let j(l) = -8*l - 1. What is 4*i(c) - 3*j(c)?
-4*c - 1
Let f(i) be the second derivative of -i**3/6 - 3*i**2 + i. Let t = 220 + -227. Let s(r) = -2*r - 13. Calculate t*f(p) + 3*s(p).
p + 3
Let v(m) = 187*m. Let p(u) = 17*u. Give 34*p(i) - 3*v(i).
17*i
Let u(a) = -8*a - 4. Let p(j) = 23*j + 12. Calculate -6*p(t) - 17*u(t).
-2*t - 4
Let y(a) = 3*a - 10 + 8*a - 1. Let k(f) = 5 - 4*f - 3*f - f + 3*f. Determine -13*k(h) - 6*y(h).
-h + 1
Let v = 6 - 15. Let n(m) = -3*m**2 - 3*m - 1. Let q(c) = 4 - 3 + 13*c + 4 + 13*c**2. Suppose -5 = 5*h + o, o - 1 = 3*h + 2*o. Calculate h*q(y) + v*n(y).
y**2 + y - 1
Let a(y) be the second derivative of -1/6*y**3 + 0*y**4 + 0 + 0*y**2 - 1/20*y**5 - 6*y. Let l(c) = 2*c**3 + c**2 + 2*c. What is -a(r) - l(r)?
-r**3 - r**2 - r
Suppose 3*o = -6*u + 3*u + 3, -4*o + 3*u - 24 = 0. Let r(p) = -2*p - 4. Suppose -5 + 2 = 3*h. Let s(q) = q + 1. Calculate h*r(l) + o*s(l).
-l + 1
Let j(k) = 4*k**3 - 9. Let s(h) = 9*h**3 - 17. What is 7*j(m) - 3*s(m)?
m**3 - 12
Let p(v) be the second derivative of v**4/6 - v**2 + 4*v. Suppose 0*n + 9 = 3*n. Let r(t) = 0*t**3 + 2*t**2 - 3*t**2 - t**n + 1. Determine p(a) + 2*r(a).
-2*a**3
Let r be -1 + -3 + 2 - -3. Let s(n) be the second derivative of -n**3/6 + n**2/2 + 2*n. Let o(p) = -p**3 - 2*p + 2. What is r*o(w) - 2*s(w)?
-w**3
Let z(k) = -k. Let s(y) = y**2 + 5*y. What is s(n) + 3*z(n)?
n**2 + 2*n
Let k(m) = m**3. Suppose 0 = -4*g + 12, 4*g = -5*d + 2*d + 27. Suppose 3*u - 4*v = 14, u - d*v = -3*u + 17. Let w(b) = 4*b**3 - b. Determine u*w(f) + 9*k(f).
f**3 + 2*f
Let r(u) = -8 + 10 + 2 - 1. Let v(g) = g**2 - 1. What is -r(a) - 3*v(a)?
-3*a**2
Let k = 8 - 3. Let w(z) = 2*z + 4. Let o(p) = 9. Let a(i) = 5. Let n(l) = 7*a(l) - 4*o(l). Determine k*n(s) + w(s).
2*s - 1
Let u(d) = d**2 + d. Let q(h) = 7*h**2 + 7*h + h**2 + 0*h**2 + 0*h**2. Give 3*q(p) - 21*u(p).
3*p**2
Let c(q) = -11*q - 5. Let r(t) = 21*t + 9. Determine 11*c(a) + 6*r(a).
5*a - 1
Let j(k) = -5*k**2 + 2. Let l(w) = -135*w**2 + 55. Calculate 110*j(f) - 4*l(f).
-10*f**2
Let s(y) = -6*y + y - y. Let x = -92 + 87. Let r(i) = -i. Give x*r(l) + s(l).
-l
Let b(f) = -16*f - 6. Let c(g) = -17*g - 5. Determine 5*b(y) - 6*c(y).
22*y
Let n(l) = -l**3 - 4*l + 1. Let d be n(-2). Let k(z) = 7*z**2 + z - 1. Let i(o) = -20*o**2 - 3*o + 3. Determine d*k(r) + 6*i(r).
-r**2 - r + 1
Let x(u) = u + 1. Let p(o) = -5*o. Give p(r) + 6*x(r).
r + 6
Let l(r) = 5*r**2 + 2*r - 6. Let a(z) = 16*z**2 + 7*z - 19. What is 2*a(k) - 7*l(k)?
-3*k**2 + 4
Let y(a) = a**2 + 8*a - 7. Let t be y(-9). Let p(x) = x + 0*x + t*x. Let q(m) = -13*m + 1. What is 9*p(h) + 2*q(h)?
h + 2
Let f(i) = 20*i**2 - 5. Let q(c) = -30*c**2 + 8. Determine -8*f(m) - 5*q(m).
-10*m**2
Let p(c) = 10*c + 8. Let z(s) = -29*s - 23. Calculate -17*p(u) - 6*z(u).
4*u + 2
Let d(l) = -3*l**3 - 2*l**2 + 5. Let t(j) = j**3 + j**2 - 1. Let s(c) = -c**2 - 7*c - 13. Let q be s(-4). Give q*d(v) - 2*t(v).
v**3 - 3
Let t(d) = -5*d**2 - d - 5. Let s(m) = 4*m**2 + m + 4. Let h = 31 - 35. What is h*s(u) - 3*t(u)?
-u**2 - u - 1
Let w(a) = 2*a**2 - 4*a. Let n(h) = -h**2 + 4*h - 1. What is -3*n(u) - 2*w(u)?
-u**2 - 4*u + 3
Let t(n) = n**3 - n - 1. Let b(w) = -7*w - 5. Give b(a) - 5*t(a).
-5*a**3 - 2*a
Let x(w) = 8*w**3 + 6*w**2 - 6*w - 1. Let q(h) = 23*h**3 + 17*h**2 - 17*h - 2. Determine -6*q(d) + 17*x(d).
-2*d**3 - 5
Let a(h) = -32*h + 6. Let w(f) = -11*f + 2. Let i be ((-24)/(-16))/(1/(-4)). What is i*a(n) + 17*w(n)?
5*n - 2
Let h be -2*(3 + (-9)/6). Suppose -5 = -3*x - 29. Let k(u) = -11*u**2 + 11*u - 8. Let r(z) = 1 + 5 - 1 - 4*z - 2 + 4*z**2. Determine h*k(j) + x*r(j).
j**2 - j
Let v(q) = 3*q**2 - 2*q. Let i(j) = -7*j**2 + 3*j + 2. Let s(a) = -a + 1. Let w(n) = i(n) - 2*s(n). Give 10*v(t) + 4*w(t).
2*t**2
Let i(o) = 2*o + 6. Let r(b) = 2*b + 7. Let z(g) = 7*g**3 - 2*g - 1. Let p be z(-1). Calculate p*i(y) + 5*r(y).
-2*y - 1
Let u(k) = 2*k**3 + 4*k - 4. Let y(q) = 3*q**3 + 5*q - 5. Let b be 5 - (-2 + (-1 - -1)). Let z = b + -12. Determine z*u(i) + 4*y(i).
2*i**3
Let w(d) = -d**2 + d + 1. Let o(v) = 17*v**2 - 3*v - 2. What is -o(r) - 4*w(r)?
-13*r**2 - r - 2
Let o be (-4)/(-16) + 26/(-8). Let z(g) = 2*g. Let w(l) = -1 + 1 + 2*l. Determine o*w(c) + 2*z(c).
-2*c
Let s(p) = p**2 - 3*p - 31. Let m(f) = f**2 - 2*f - 16. What is 5*m(b) - 3*s(b)?
2*b**2 - b + 13
Let j(v) = -v**2 - 5. Let t(d) = d - 1. What is j(z) - 3*t(z)?
-z**2 - 3*z - 2
Let l(x) = 2*x + 5. Let n(g) = g + 2. Let c = -35 - -29. Give c*l(h) + 14*n(h).
2*h - 2
Let m = 23 + -29. Let t(o) = -4*o - 6. Let c(i) = 3*i + 5. What is m*c(f) - 5*t(f)?
2*f
Let b(o) be the third derivative of o**5/15 - o**4/24 - 6*o**2. Let i(y) = 9*y**2 - 3*y + 1. Calculate 5*b(x) - 2*i(x).
2*x**2 + x - 2
Let w(a) = -17*a - 2. Let x(v) = 17*v + 1. Calculate -3*w(o) - 4*x(o).
-17*o + 2
Let t(p) = -p**3 - 1. Let r(v) = 2*v**3 + 5. Calculate -r(u) - 4*t(u).
2*u**3 - 1
Let k(n) = -7*n**3 - 7*n**2 + 5*n + 3. Let f(c) = 138*c**3 - 11*c**2 + 8*c - 74*c**3 - 75*c**3 + 5. Give 5*f(s) - 8*k(s).
s**3 + s**2 + 1
Let b(q) = -4*q**2 - 4*q - 2. Let a(n) = 6*n**2 + 6*n + 3. Let h(z) = z**2 - 15*z - 7. Let y be h(15). Determine y*b(t) - 5*a(t).
-2*t**2 - 2*t - 1
Let d(p) = p + 9. Let l be d(-12). Let q(y) = -y**3 - 3*y**2 - y - 2. Let m be q(l). Let t(a) = -2*a - 5. Let f(h) = 1. What is m*t(z) + 5*f(z)?
-2*z
Let q(s) = 9*s**3 - 5*s. Let a(b) be the third derivative of b**6/30 - b**4/12 - b**2. Let n = 44 - 42. Give n*q(v) - 5*a(v).
-2*v**3
Let f(c) = 11*c**3 - 3*c**2 + 3*c + 3. Let s(x) = -198*x**3 + 55*x**2 - 55*x - 55. Give -55*f(g) - 3*s(g).
-11*g**3
Let v = 9 + -20. Let k = v - -7. Let t(h) = -1. Let n(u) = -3. Let b(s) = n(s) - 2*t(s). Let d(x) = x**2 + 3. Determine k*b(f) - d(f).
-f**2 + 1
Let a(n) = 5*n - 3. Let j(i) = 16*i - 8. Calculate -10*a(s) + 3*j(s).
-2*s + 6
Let x(m) = 6*m - 4. Suppose -3*z - 3*z = 18. Let y(p) = 13*p - 9. What is z*y(b) + 7*x(b)?
3*b - 1
Let r be (3/2)/(9/(-18)). Let x(b) = -b**3 - 3*b. Let l be 18/10 - 2/(-10). Let y(u) = -3*u + l*u + 3*u. Determine r*y(a) - 2*x(a).
2*a**3
Let v be (40/6 + -7)*(16 + -1). Let q(b) = -3*b**3 - 5*b - 5. Let r(o) = o**3 + o + 1. Determine v*r(h) - q(h).
-2*h**3
Let c(m) = -m**3 + 4*m**2 - m - 2. Let q(w) = -3*w**3 + 13*w**2 - 4*w - 7. Calculate 7*c(x) - 2*q(x).
-x**3 + 2*x**2 + x
Let g(b) = 49 + 63*b**2 - 3712*b + 3712*b. Let l(h) = -4*h**2 - 3. What is -3*g(j) - 49*l(j)?
7*j**2
Let w(y) = 4*y**2 + 6*y**3 - 2*y**2 + 4 - 10*y**3. Let d(g) = g - 12. Let o be d(6). Let i(s) = s**3 - 1. C
|
{
"pile_set_name": "DM Mathematics"
}
|
p) = -3*p**2 - 23*p - 7. Let h be ((-1)/(-2) - 0)/(17/(-238)). Let o be l(h). Is q(o) a composite number?
False
Is ((-765976)/(-6))/(268/201) composite?
False
Let h be -2*2/22 - 1002/(-66). Let f be (-60)/(-45)*h/2. Suppose f*q - 319 = 9*q. Is q a prime number?
False
Let t = -732 + 1125. Suppose -18*v + 14*v = -736. Let j = t - v. Is j prime?
False
Suppose 3*c = -2*j - 51, 5*j + 0*c + 4*c + 124 = 0. Is (-518595)/(-180) + 2/j a prime number?
False
Suppose 604 = 4*j - 396. Let f = 959 - j. Is f a prime number?
True
Let d(f) = 130*f**2 - 230*f + 89. Is d(-33) a prime number?
True
Let p be 5/((-125)/80)*(-3015)/6. Suppose -p - 1642 = -2*w. Let c = w - 60. Is c prime?
False
Let h(d) = 13*d + 16. Let u(n) = -5*n - 14. Let q be u(-12). Suppose 45*z = q*z - 15. Is h(z) a prime number?
True
Let x be 2/(-7) - 1844505/105. Is x/(-4) + 72/(-96) a composite number?
False
Let s be 2*2/(-8)*-8. Suppose 0 = s*d - 4503 - 1857. Suppose -d = -7*p + p. Is p prime?
False
Suppose 29*q - 26*q - 5*f = 259028, -5*q = -f - 431706. Is q prime?
True
Suppose -22 = 6*p + 5*p. Is ((-141715)/70)/(1/p) composite?
False
Suppose 3*v + 14 = 44. Let d(g) = 2*g + 2*g**2 - 7*g + 25 - 5*g + 2*g. Is d(v) prime?
False
Let g be (5 + -4 + -5)/((-12)/9). Suppose 3*n + 3*z - 2682 = 7374, -g*n + 2*z + 10061 = 0. Is n composite?
True
Suppose -45*l - 24*l + 853781 = -2*l. Is l a prime number?
True
Suppose 56 = 15*k - 79. Is 224490/k - -4*5/(-60) a prime number?
True
Let p = 27 - 14. Suppose 2*c = 3*l + p, c = -2*c + 5*l + 21. Suppose 0 = 4*m + 4*i - 792, 0*m + c*m = i + 411. Is m composite?
True
Let t = 36883 + -5876. Is t a composite number?
True
Let b be (0/(2 + -1))/3. Suppose b = 11*c - 9*c - 4*w - 13818, w = 2*c - 13821. Is c composite?
False
Let u = -31387 - -65618. Is u a composite number?
False
Suppose 104*h - 17894110 = -26*h. Is h a composite number?
True
Suppose -218305 - 123428 = 24*t - 2066637. Is t prime?
False
Let m = 3382034 - 1823107. Is m a prime number?
False
Suppose -163*c + 17*c = -10597994. Is c a composite number?
True
Let x(j) = -309*j**3 + 27*j**2 + 34*j + 11. Is x(-10) prime?
True
Suppose 4*a - c - 9 = 0, 5*a + 5*c = 6*c + 12. Suppose -k - 12 + 0 = 0. Is a*((-136)/k - -1) prime?
True
Suppose 5*c = -5*m - 35, 2*c - m = 2*m - 14. Let l(g) = -30*g**3 + 11*g**2 + 7*g - 9. Is l(c) a composite number?
False
Let d = 529636 - 339747. Is d composite?
True
Let s = 230 + -452. Let g = s + 2531. Is g prime?
True
Let f be ((-3514)/(-4) + 2 - 5)*2. Suppose -74*i + 73*i + f = 0. Is i composite?
True
Is 29963112/(-7 + 31) + -20 a prime number?
False
Is (21*15/(-1260))/(2/(-360952)) composite?
False
Let y be 6/(-4)*(-2 - 4*13). Let r = 97 + y. Suppose 5*q - 3*q = 2*b - 178, 2*b = -4*q + r. Is b prime?
True
Suppose -4*m = -5*w - 2*m + 20, 0 = 3*m + 15. Suppose w*a - 28 = -10. Let c(f) = -f**3 + 11*f**2 + 5*f - 8. Is c(a) a prime number?
True
Let z(k) be the first derivative of -106*k**2 + 39*k + 116. Is z(-10) prime?
False
Suppose -9 = -2*f + 2*d + 9, -5*f + 2*d + 30 = 0. Suppose f*c = -0*c - 2248. Let i = c + 969. Is i composite?
True
Suppose 1 = -l - 0*n - n, -5*n - 15 = 0. Let x be (0 - -1)/((-103425)/(-51710) - l). Is 5/15 + (3 - x/(-6)) prime?
False
Let a(w) = w**2 + 1. Let k(p) = -85*p**3 + 10*p**2 + 8. Let b(u) = -6*a(u) + k(u). Is b(-3) a prime number?
True
Suppose -3*t + 43 = 1. Let v(x) = 5*x**2 - 5 + 14 + x**3 + 0*x**3 - t*x + 4*x**2. Is v(-7) prime?
False
Let t be ((-8)/36*-31107)/((-7)/21). Let r = -13083 - t. Is r a composite number?
True
Let p(a) = -2530*a + 751. Is p(-12) a prime number?
False
Let q = 52 + -52. Suppose -d + 0*d - 2*b + 7104 = 0, q = 2*b - 10. Suppose 0 = -5*g - 184 + d. Is g prime?
False
Is 3/(-9)*15 + 7 + 174327 composite?
False
Suppose -r + 2012137 = 5*v, 3*r - 5*v - 4392698 - 1643753 = 0. Is r composite?
False
Let i(n) = -3826*n - 102. Let c be i(-8). Let g = c + 19799. Is g a prime number?
False
Let s(j) = 388*j**2 - 262*j - 5097. Is s(-22) prime?
True
Suppose -2*x = -4*p - 119538, -4*x + 8*x - 2*p - 239082 = 0. Is x composite?
False
Suppose 0 = s + 20 - 16, 4*i - s = 24128. Is i a composite number?
True
Suppose q + 3*n - 5881 = -3*q, -2*q + n = -2923. Is q prime?
False
Let u be 20/170 - (-75)/85. Let f(z) = 34*z + 36*z + 149*z - 2. Is f(u) composite?
True
Suppose -u + 17528 = 3*o, 3*u = 8*o - 3*o + 52542. Let y = u + -9664. Is y a prime number?
False
Let o(x) = x**2 - 13*x + 2. Let h be o(14). Let m be (-32)/h + 0 + 6. Suppose -4*v + 4*r - 1434 = -6*v, -m*r - 3655 = -5*v. Is v a prime number?
True
Suppose 28*s + 66*s = -54*s + 22672564. Is s prime?
False
Let p(g) = 2*g - 342279 + 2*g - 5*g + 343394. Let r = 2 + -2. Is p(r) a prime number?
False
Suppose -s + 3*v + 2900 = 0, -4*v - 3798 = 5*s - 18165. Is s a composite number?
False
Suppose -5*x = -11*x + 24. Suppose x*d = 1461 + 95. Is d prime?
True
Suppose 2 = -4*r + 10. Let f be 1966/(3/((-1)/r*-3)). Let g = f - 484. Is g a prime number?
True
Let t(y) = y**2 + 13*y + 42. Let q be t(-5). Suppose -5*s + 930 + 1287 = q*z, 0 = -5*z - 4*s + 5568. Let a = 1633 - z. Is a composite?
True
Suppose -7*a = -0*a + 35. Is 44320/64*(-1)/(a/6) a prime number?
False
Let c(y) = 16303*y**2 - 118*y + 231. Is c(2) composite?
True
Suppose -29*v + 347024 = -123623 - 230254. Is v a composite number?
False
Let l = -604 + -1110. Let o = l + 2856. Is o prime?
False
Suppose r - 812156 = -4*p, -2*p - 5*r = -180944 - 225134. Is p prime?
True
Let v be -1*55/22*(-1 - -3). Is 3/(-3) + v - (2 + -3601) prime?
True
Let a be 6/(-4)*16/(-12). Suppose 5*i + 4*y - 36 = 0, a*i - 4 = 4*i - 3*y. Suppose i*j = -j + 75. Is j composite?
True
Let x = -451 - -450. Let s(j) = 988*j**2 + 6*j + 1. Is s(x) a composite number?
False
Suppose -2*a + 2102510 = -4*s, -a - 43899 = -15*s - 1095206. Is a a composite number?
False
Let d be (-22)/77 - 12/7. Let a(o) = 55*o**3 - 7*o**2 + 4*o - 1. Let l(p) = -p**3 + p**2 - p. Let r(s) = -a(s) - 5*l(s). Is r(d) prime?
False
Let d = 438 + -452. Is (-14)/d*(-4)/((-4)/391) prime?
False
Let s = -82 + 83. Let t be 13 + (3/s)/1. Suppose t*q - 11*q - 115 = 0. Is q prime?
True
Suppose -4*t - 17 = 3. Let b = t + 2. Is (-457)/(b - -4)*-3 a prime number?
False
Let y(v) = 6*v**3 + 2*v + 66574. Is y(0) a prime number?
False
Let m(k) = 6*k + 45. Let r be m(-7). Suppose 4*p + 7*x - 6*x = 16359, -12288 = -r*p + 3*x. Is p a composite number?
False
Is 1/11 + 25/(2475/2053548) composite?
False
Suppose -47*c - 46*c + 62547744 = 3*c. Is c a composite number?
True
Let f(a) = 175*a**2 + 5*a - 10. Let y = -120 - -113. Let x be f(y). Suppose 5*j - 7*j = -x. Is j composite?
True
Let v be (4 + -1)*3/(18/(-4)). Let s be (2/3)/(v/(-12)). Suppose -3*d + 580 = 2*n, 4*n - 301 = 3*n + s*d. Is n prime?
True
Let o be -40 + 41 - (-1 - 0). Is o/(-3)*2637/(-6) prime?
True
Let a(i) = 216*i**2 - 275*i - 445. Is a(34) composite?
True
Let b(w) = -w**2 - 1. Let s = 43 - 42. Let k(u) = 45*u**2 - 9*u + 4. Let i(q) = s*k(q) + 3*b(q). Is i(6) composite?
False
Suppose 4*f - p + 6 = -2, -4*f - 4*p - 28 = 0. Is (5844/(-9))/(2/f) composite?
True
Let b be 1548/252 + 2/(-14). Let s(w) = 337*w**2 - 9*w + 71. Is s(b) a composite number?
False
Let w = -604 - -589. Is 10/w + (-4085)/(-3) prime?
True
Let c(z) = 3*z**2 + 2*z + 194. Let h be c(0). Suppose -a + 1099 = -h. Is a a prime number?
False
Is (-1271844)/(-156) + (-21 + 24 - (-74)/(-26)) a composite number?
True
Suppose 245904 = 59*n + 73447. Is n prime?
False
Let l be (-1)/2 + (-56994)/(-28). Let p = -818 + l. Is p prime?
True
Suppose -186520 = -3*s - w, -18*w + 248697 = 4*s - 13*w. Is s prime?
False
Let f(v) = -v**3 - 190*v**2 - 335*v + 1500. Is f(-194) a prime number?
False
Suppose 2*k - 3*g = 33, 2*k - 11*g = -10*g + 27. Is 1771 - k/6*(-6)/4 composite?
True
Let u = 3365352 + -1487461. Is u a prime number?
True
Let v(b) be the second derivative of 2*b**4/3 - 4*b**3 - 13*b**2/2 + 80*b - 1. Is v(-17) a composite number?
False
Let u(y) = -4*y**3 + 3*y**2 - 13*y + 11. Let t = 18 - 11. Suppose 12*k = t*k - 30. Is u(k) prime?
True
Suppose -4*r + 62*z + 845932 = 67*z, 845932 = 4*r + 3*z. Is r prime?
False
Suppose 17*c - 83183 = 74186. Is c a prime number?
True
Is (-1060864)/(-18) + ((-304)/18 - -17) a composite number?
False
Suppose 8*h = 5939 - 531. Let u = h + 245. Is u prime?
False
Is ((-42)/54 - (-4)/(-18))
|
{
"pile_set_name": "DM Mathematics"
}
|
520 to the nearest integer?
1627
What is the seventh root of 186791 to the nearest integer?
6
What is 14068730 to the power of 1/4, to the nearest integer?
61
What is 6903663 to the power of 1/3, to the nearest integer?
190
What is the square root of 354413 to the nearest integer?
595
What is 5012922 to the power of 1/4, to the nearest integer?
47
What is the tenth root of 6195581 to the nearest integer?
5
What is the third root of 2965436 to the nearest integer?
144
What is the cube root of 157184 to the nearest integer?
54
What is the cube root of 4162731 to the nearest integer?
161
What is 5314655 to the power of 1/8, to the nearest integer?
7
What is the square root of 1745112 to the nearest integer?
1321
What is 4050955 to the power of 1/4, to the nearest integer?
45
What is the fourth root of 838320 to the nearest integer?
30
What is the fourth root of 788621 to the nearest integer?
30
What is the third root of 18421689 to the nearest integer?
264
What is the third root of 1194 to the nearest integer?
11
What is 234481 to the power of 1/10, to the nearest integer?
3
What is the third root of 394993 to the nearest integer?
73
What is the cube root of 1550840 to the nearest integer?
116
What is 36768162 to the power of 1/7, to the nearest integer?
12
What is 27734985 to the power of 1/7, to the nearest integer?
12
What is the cube root of 57114 to the nearest integer?
39
What is 1330596 to the power of 1/2, to the nearest integer?
1154
What is 9821212 to the power of 1/9, to the nearest integer?
6
What is the third root of 589300 to the nearest integer?
84
What is the third root of 498331 to the nearest integer?
79
What is 2007647 to the power of 1/3, to the nearest integer?
126
What is the third root of 5656298 to the nearest integer?
178
What is 1567304 to the power of 1/9, to the nearest integer?
5
What is 2968101 to the power of 1/2, to the nearest integer?
1723
What is the square root of 7060960 to the nearest integer?
2657
What is the square root of 1296473 to the nearest integer?
1139
What is 4102657 to the power of 1/2, to the nearest integer?
2026
What is 4560702 to the power of 1/2, to the nearest integer?
2136
What is the fourth root of 3974051 to the nearest integer?
45
What is the square root of 25656952 to the nearest integer?
5065
What is 2122007 to the power of 1/2, to the nearest integer?
1457
What is 36583 to the power of 1/2, to the nearest integer?
191
What is 1034298 to the power of 1/4, to the nearest integer?
32
What is 2304118 to the power of 1/3, to the nearest integer?
132
What is 115625 to the power of 1/2, to the nearest integer?
340
What is the cube root of 3902 to the nearest integer?
16
What is the square root of 676261 to the nearest integer?
822
What is 9669281 to the power of 1/10, to the nearest integer?
5
What is 366208 to the power of 1/3, to the nearest integer?
72
What is the ninth root of 16241587 to the nearest integer?
6
What is the sixth root of 75729 to the nearest integer?
7
What is the square root of 1077596 to the nearest integer?
1038
What is the ninth root of 823211 to the nearest integer?
5
What is the third root of 16567648 to the nearest integer?
255
What is the third root of 344421 to the nearest integer?
70
What is the sixth root of 305562 to the nearest integer?
8
What is the cube root of 7132809 to the nearest integer?
192
What is the cube root of 52888 to the nearest integer?
38
What is the third root of 9129 to the nearest integer?
21
What is the square root of 9084675 to the nearest integer?
3014
What is the sixth root of 2657603 to the nearest integer?
12
What is the square root of 1671966 to the nearest integer?
1293
What is 432653 to the power of 1/3, to the nearest integer?
76
What is 3058345 to the power of 1/3, to the nearest integer?
145
What is 2222005 to the power of 1/5, to the nearest integer?
19
What is 1298882 to the power of 1/4, to the nearest integer?
34
What is 13187514 to the power of 1/2, to the nearest integer?
3631
What is 105117 to the power of 1/7, to the nearest integer?
5
What is 4126000 to the power of 1/2, to the nearest integer?
2031
What is the ninth root of 197378 to the nearest integer?
4
What is the third root of 22083970 to the nearest integer?
281
What is the seventh root of 157142 to the nearest integer?
6
What is the third root of 114364 to the nearest integer?
49
What is 31989283 to the power of 1/9, to the nearest integer?
7
What is the third root of 526611 to the nearest integer?
81
What is 1248051 to the power of 1/2, to the nearest integer?
1117
What is the cube root of 24761724 to the nearest integer?
291
What is 14097858 to the power of 1/2, to the nearest integer?
3755
What is 617277 to the power of 1/2, to the nearest integer?
786
What is 433096 to the power of 1/2, to the nearest integer?
658
What is 639479 to the power of 1/5, to the nearest integer?
14
What is 2103882 to the power of 1/2, to the nearest integer?
1450
What is 5641839 to the power of 1/2, to the nearest integer?
2375
What is 458950 to the power of 1/9, to the nearest integer?
4
What is 7545962 to the power of 1/6, to the nearest integer?
14
What is the square root of 7098113 to the nearest integer?
2664
What is the cube root of 959439 to the nearest integer?
99
What is the third root of 325280 to the nearest integer?
69
What is the cube root of 504000 to the nearest integer?
80
What is 3039600 to the power of 1/3, to the nearest integer?
145
What is 576057 to the power of 1/2, to the nearest integer?
759
What is the square root of 239603 to the nearest integer?
489
What is 1714456 to the power of 1/2, to the nearest integer?
1309
What is 13847731 to the power of 1/3, to the nearest integer?
240
What is 564678 to the power of 1/4, to the nearest integer?
27
What is the square root of 3509791 to the nearest integer?
1873
What is 28763558 to the power of 1/7, to the nearest integer?
12
What is 135080 to the power of 1/3, to the nearest integer?
51
What is the cube root of 8292949 to the nearest integer?
202
What is the seventh root of 1981371 to the nearest integer?
8
What is the square root of 14420289 to the nearest integer?
3797
What is 775371 to the power of 1/2, to the nearest integer?
881
What is 16752807 to the power of 1/2, to the nearest integer?
4093
What is 9912687 to the power of 1/2, to the nearest integer?
3148
What is the seventh root of 539953 to the nearest integer?
7
What is the cube root of 24562505 to the nearest integer?
291
What is 18097876 to the power of 1/4, to the nearest integer?
65
What is the third root of 1971274 to the nearest integer?
125
What is the sixth root of 10180877 to the nearest integer?
15
What is 17844915 to the power of 1/8, to the nearest integer?
8
What is the third root of 8052889 to the nearest integer?
200
What is the square root of 273013 to the nearest integer?
523
What is 7809280 to the power of 1/6, to the nearest integer?
14
What is the third root of 27966631 to the nearest integer?
304
What is the cube root of 5600162 to the nearest integer?
178
What is 2504419 to the power of 1/2, to the nearest integer?
1583
What is 884846 to the power of 1/7, to the nearest integer?
7
What is 3361174 to the power of 1/7, to the nearest integer?
9
What is 2011841 to the power of 1/10, to the nearest integer?
4
What is 1279448 to the power of 1/2, to the nearest integer?
1131
What is the square root of 261695 to the nearest integer?
512
What is 346692 to the power of 1/7, to the nearest integer?
6
What is 30834 to the power of 1/3, to the nearest integer?
31
What is 1292469 to the power of 1/7, to the nearest integer?
7
What is 13796299 to the power of 1/3, to the nearest integer?
240
What is 193974 to the power of 1/8, to the nearest integer?
5
What is the fourth root of 12745588 to the nearest integer?
60
What is the square root of 824490 to the nearest integer?
908
What is the square root of 803555 to the nearest integer?
896
What is the square root of 1039417 to the nearest integer?
1020
What is the cube root of 248580 to the nearest integer?
63
What is 544402 to the power of 1/4, to the nearest integer?
27
What is the square root of 119751 to the nearest integer?
346
What is the ninth root of 728463 to the nearest integer?
4
|
{
"pile_set_name": "DM Mathematics"
}
|
fy (x**(-1/6)/x*(x*x/(x*x*(x/(x**(-3/5)*x))/x))/x)/(x*x**0*(x*x**(-8))/x) assuming x is positive.
x**(157/30)
Simplify ((b*(b/((b/(b/b**(-2/3)))/b))/b*b)**(11/2))**(-6/13) assuming b is positive.
b**(-121/13)
Simplify (v**(-1/4)*v)**6 assuming v is positive.
v**(9/2)
Simplify (i**(-2/5))**26*i**(-2/5)*i/i**(-9) assuming i is positive.
i**(-4/5)
Simplify ((n/(n/(n**(-1/2)*n))*n)**(-3/19))**(-16) assuming n is positive.
n**(72/19)
Simplify (v/(v*(((v**(1/8)/v)/v)/v)/v*v))/(v*v**(-1/5))*v**4*v**4 assuming v is positive.
v**(403/40)
Simplify ((i*i*i**(-6))/i*i)/(i**(1/2)*i)*i**(2/3)*i/(i/((i*i**0/i)/i)) assuming i is positive.
i**(-35/6)
Simplify (x**3/(x/(x/(x*x/(x*x**(-6))))))/(x**(-2)/x**(-1)) assuming x is positive.
x**(-3)
Simplify (p**(-5)*p**(-1)/p)**(10/3) assuming p is positive.
p**(-70/3)
Simplify ((q*q*q*q**(-5))/q)**(-9/5) assuming q is positive.
q**(27/5)
Simplify ((u/u**(1/3))/(u*u/((u**2/u)/u)))/(u*u**(-1))**(-3/38) assuming u is positive.
u**(-4/3)
Simplify (m**3/(m**(-3)/m))**13 assuming m is positive.
m**91
Simplify ((z*z**(2/5))**(-11/2))**(-21/8) assuming z is positive.
z**(1617/80)
Simplify (z**(-4)*z/((z/z**3)/z))/((z**6*z)/(z**(-5)/z)) assuming z is positive.
z**(-13)
Simplify j**39*j**(2/9) assuming j is positive.
j**(353/9)
Simplify ((u/(u*u*u**(4/11)))/u*u*u)/((u*u*u**(1/16)/u*u)/u)*u**1/u*u/u**(-2/17) assuming u is positive.
u**(-923/2992)
Simplify (b**(-1/5)*b**5)/(b**(-1/2))**31 assuming b is positive.
b**(203/10)
Simplify s**(2/5)*s*s**(-10) assuming s is positive.
s**(-43/5)
Simplify f**(-14)/f*f/((f/(f*f/((f/(f**(-7/2)/f))/f*f))*f)/f)*f assuming f is positive.
f**(-35/2)
Simplify ((b*b**(1/4))/b)**(-2/63)*(b/((b*(b/(b/b**(-1)))/b*b*b)/b))**(-18/11) assuming b is positive.
b**(-2279/1386)
Simplify (o*o**(1/5)/o*o*o/(o*o*o**(1/9)/o))**(-1/6) assuming o is positive.
o**(-49/270)
Simplify ((t**(-8))**(-2/11))**(-18) assuming t is positive.
t**(-288/11)
Simplify (i**(-2))**26/(i**(1/10)/(i**2/i)) assuming i is positive.
i**(-511/10)
Simplify (y**(1/2)*y)/y**(-1/15)*((y/(y/(y*y**(-2/9)*y)))/y)/(y*y**(2/7)*y*y) assuming y is positive.
y**(-593/630)
Simplify (c**(-7))**(20/3) assuming c is positive.
c**(-140/3)
Simplify (x**1)**4*x**(-4)*x*x*x**6 assuming x is positive.
x**8
Simplify k**19/(k**(-1/5)*k*k) assuming k is positive.
k**(86/5)
Simplify (c**0/c**(2/11))**(-47) assuming c is positive.
c**(94/11)
Simplify (k*k/k**7*k/(k/((k**2*k)/k)))/(k**2)**(-1/2) assuming k is positive.
k**(-2)
Simplify (a/(a/(a*a/a**(3/11))))/(a/((a*a*(((a**(-8)*a)/a)/a)/a)/a)) assuming a is positive.
a**(-91/11)
Simplify g**(-34)/(g**15*g) assuming g is positive.
g**(-50)
Simplify (q/q**(1/3)*q**(-6))**(1/2) assuming q is positive.
q**(-8/3)
Simplify l*l/(l*l**(2/25)*l*l)*l*l*l**(-22) assuming l is positive.
l**(-527/25)
Simplify (u**(3/5)/u**(-5))**(-1/5) assuming u is positive.
u**(-28/25)
Simplify c**(-1)/(c*c**(-2/9))*c**5*c*c*c*c*c**(-1/3)*c assuming c is positive.
c**(71/9)
Simplify p**(-13)*p/(p**14/p) assuming p is positive.
p**(-25)
Simplify o/o**(-6/7)*(o*o/(o*o*o**(2/3)))/o assuming o is positive.
o**(4/21)
Simplify (b/(b/(b*b*b*(b*b*b**(-1))/b)*b))**(-37)*b**1*b*b**3*b assuming b is positive.
b**(-68)
Simplify (((o**2*o)/o)**(-2/3))**50 assuming o is positive.
o**(-200/3)
Simplify (v**(-2/15)/v)**(-1/14) assuming v is positive.
v**(17/210)
Simplify (z/((z*z*z/(z*(z**8*z)/z))/z)*z**(1/11)*z)/(z/z**(-2)*z**(-2)) assuming z is positive.
z**(89/11)
Simplify ((f/f**(-2/9))/f)**(-46)*f*f*f*f**(1/3)/f*f/((f**(-1/11)/f)/f) assuming f is positive.
f**(-475/99)
Simplify (l**10*l)/(l*l/(l**(2/15)*l))*l**(-9)/(l*l*(((l**(-2/33)*l)/l)/l)/l*l) assuming l is positive.
l**(32/165)
Simplify (h/(h/(h*(h*h**(-5)*h)/h))*h*h*h**1)/((h/h**(-3/2)*h)/h**(-4/3)) assuming h is positive.
h**(-29/6)
Simplify k**(3/11)/k**9*(k*k**(-6))/k**(-7) assuming k is positive.
k**(-74/11)
Simplify g**(-10)*g/(g/(g*g/(g**(-10)*g*g))) assuming g is positive.
1
Simplify ((d/d**(-4/5))/d)/(d*d**(-2/81)) assuming d is positive.
d**(-71/405)
Simplify ((p**(7/4)*p)/p)/p**(1/23) assuming p is positive.
p**(157/92)
Simplify w**0/(w**(-1)/w) assuming w is positive.
w**2
Simplify (c*c**(2/7))**(-2/63)*(c**1)**45 assuming c is positive.
c**(2203/49)
Simplify (u**(-1)*u)**(-43)/(u/(u/((u**6*u)/u))*u/(u*u/(((u/(u/u**0)*u)/u*u)/u))) assuming u is positive.
u**(-5)
Simplify (t/t**(-42))**(-4/3) assuming t is positive.
t**(-172/3)
Simplify (l*l*(l**(2/5)/l)/l*l)**(-2/13)*(l**0)**(2/75) assuming l is positive.
l**(-14/65)
Simplify q*q**21*((q*q/((q/(q*(q/(q*q**(-23)))/q*q))/q)*q)/q)/q*q assuming q is positive.
q**48
Simplify ((z/(z**(6/5)*z*z))/z**(-1/11))**(1/81) assuming z is positive.
z**(-116/4455)
Simplify d/(d**(7/12)*d*d*d)*d*d*d/((d/(d/((d*(d/d**(1/6))/d)/d))*d)/d) assuming d is positive.
d**(7/12)
Simplify (l*l/(l**4/l))/l**(3/17) assuming l is positive.
l**(-20/17)
Simplify ((k**(2/29)*k)/k**(2/9))**(3/8) assuming k is positive.
k**(221/696)
Simplify ((u/(u*u/(u/u**(-5))))/(u/u**(-2)))/(u**(-1)/(u**(-3/4)/u)) assuming u is positive.
u**(5/4)
Simplify v/(v*(v/(v**(-9)*v))/v)*v*v*v**(-1/3)/v*v assuming v is positive.
v**(-19/3)
Simplify (((j/((j/j**(-2/11))/j))/j)/((j*j**(-3/7))/j))/(((j**(1/6)/j)/j*j)/j*j/(j*j/(j/(((j/(j*j**5))/j)/j)))*j) assuming j is positive.
j**(-2735/462)
Simplify (l*l**(2/29)*l*l)/(l*l/(l**(-17)/l)) assuming l is positive.
l**(-491/29)
Simplify o**12*(o**18/o)/o assuming o is positive.
o**28
Simplify (a*a**(-2)/a)/(a/a**(5/2)*a)*(a/a**(-4))/((a/(a*a/(a/((a*a/a**(-6/5)*a*a)/a))*a))/a) assuming a is positive.
a**(97/10)
Simplify ((g**(-1/4))**(-14))**6 assuming g is positive.
g**21
Simplify (w*w**(2/7))**(-2/9)/(w*w**(-2/3))**(3/37) assuming w is positive.
w**(-81/259)
Simplify (y/y**(-19))**(-2/11) assuming y is positive.
y**(-40/11)
Simplify ((b/((b/((b/b**5*b)/b))/b))/(b/(((b/(b/b**(-1/4)))/b)/b)))**26 assuming b is positive.
b**(-325/2)
Simplify ((r/(r*r**6*r))/r*(r*r**(-4/7)*r)/r)**30 assuming r is positive.
r**(-1590/7)
Simplify f**(7/5)/((f**41*f)/f) assuming f is positive.
f**(-198/5)
Simplify v**(-11)*v*v/v**(-45) assuming v is positive.
v**36
Simplify (y**1/y)**(-2/17) assuming y is positive.
1
Simplify (m**9)**(-37) assuming m is positive.
m**(-333)
Simplify (g**(-2)/g)**(-3/2) assuming g is positive.
g**(9/2)
Simplify (m**(1/66)*m)/(m/m**(3/7)*m) assuming m is positive.
m**(-257/462)
Simplify (u**(-1/2)*u)**(-2/7)/(u**7/(u**(2/27)*u*u)) assuming u is positive.
u**(-958/189)
Simplify b*b**6*b/(b/b**(-6))*(b**(-1)*b)**12 assuming b is positive.
b
Simplify a**23*a/a**26 assuming a is positive.
a**(-2)
Simplify r**7/r*r**36 assuming r is positive.
r**42
Simplify k**(5/6)*k*k*k/(k*k**(2/9)/k)*k**(-2/25)/k**(-7) assuming k is positive.
k**(4739/450)
Simplify z*z/(z*z/z**(-1/10))*z**7 assuming z is positive.
z**(69/10)
Simplify w**(-1/2)/w*(w**(-1/4)*w)/w*(w/(w**(-2)*w))/w**(-2/15) assuming w is positive.
w**(23/60)
Simplify ((d**(-1/7)*d)/(d*d**0*d))**33 assuming d is positive.
d**(-264/7)
Simplify ((m/m**2)/m)**(-29)*(m**(-2/5)*m*m)**(-3/14) assuming m is positive.
m**(2018/35)
Simplify (t**(-1/5))**(-4/7)/(t**(-2/7))**(1/30) assuming t is positive.
t**(13/105)
Simplify i/(i/(i/(i*i*i**(-4/11)/i*i))*i)*i**(2/7)/i*i assuming i is positive.
i**(-104/77)
Simplify (n**6)**(-1/37) assuming n is positive.
n**(-6/37)
Simplify (v**(16/3)*v)/v**(-17/4) assuming v is positive.
v**(127/12)
Simplify (w*w*(w/(w/((w**(-1/4)/w)/w)))/w)**(1/10) assuming w is positive.
w**(-1/8)
Simplify (r/(((r/((r**(-18)*r)/r*r)*r)/r*r)/r))/r**(4/5) assuming r is positive.
r**(-89/5)
Simplify k**4/(k**(-2)/k)*k**(3/5)*k*k**(-1/8) assuming k is positive.
k**(339/40)
Simplify (x*(x/(x**(-1/7)/x))/x*x/((x**2*x*x)/x)*x*x)**40 assuming x is positive.
x**(600/7)
Simplify r**(1/4)/(r*(r**(7/3)/r)/r*r) assuming r is positive.
r**(-25/12)
Simplify (a/(a**(4/5)/a)*a*a/(((a/(a/a**(1/6)))/a)/a))/(a*a**2/a*a*a*a)**(-1/11) assuming a is positive.
a**(1811/330)
Simplify (s**(-2))**(1/26)*(s*s**(-8)/s)/(s/s**6) assuming s is positive.
s**(-40/13)
Simplify (j**(-8)/j)**(-23) assuming j is positive.
j**207
Simplify (r*r/(r**4/r*r)*r)**(9/13) assuming r is positive.
r**(-9/13)
Simplify (m**(3/4)/m**(2/17))/(((m**(-1/3)*m)/m)/(m*m*((m*m*m**(2/27)*m)/m)/m*m*m*m)) assuming m is positive.
m**(12925/1
|
{
"pile_set_name": "DM Mathematics"
}
|
69*v**4 + 236*v**2 - 1 wrt v.
104856*v
Find the third derivative of -118*x**6 - 2*x**4 - 128*x**2 + 2*x.
-14160*x**3 - 48*x
What is the third derivative of 10758*l**4 - 3*l**2 + 7*l - 15 wrt l?
258192*l
Find the third derivative of -3*p**3*v*w**2 - 2*p**3*v*w + 826*p**3*v + 9*p**2*v*w**2 + 2*p*w**2 - 3*v*w**2 - v wrt p.
-18*v*w**2 - 12*v*w + 4956*v
Find the second derivative of 38*x**3*z**2 - 1491*x**3*z - x**2*z - 2*x*z**5 + 7*x*z**3 wrt z.
76*x**3 - 40*x*z**3 + 42*x*z
What is the second derivative of 133*b**5 - 3*b**4 + 6*b - 8 wrt b?
2660*b**3 - 36*b**2
What is the second derivative of 200*u**4*w**2 - 7*u**4 - 6*u*w + 96*u + 2*w**2 + 1 wrt u?
2400*u**2*w**2 - 84*u**2
What is the third derivative of -3312*f**3 + 1353*f**2 + 2*f + 7 wrt f?
-19872
Differentiate -3146*b - 1690 wrt b.
-3146
What is the first derivative of 2*g**4*y**2 + 7*g**2*y**3 - g**2 - 794*y**3 wrt g?
8*g**3*y**2 + 14*g*y**3 - 2*g
What is the third derivative of -621*h**5 + 720*h**2 - 2*h wrt h?
-37260*h**2
Find the second derivative of 15303*m**4 - 8373*m.
183636*m**2
What is the second derivative of 5532*s**2 - 3*s + 70 wrt s?
11064
Differentiate -m**2 + 93*m - 631 with respect to m.
-2*m + 93
Find the third derivative of 7950*v**3 + 7*v**2 + 213*v.
47700
Differentiate 1618*c + 743.
1618
Find the second derivative of 15*m**3 - m**2*r**3 + 9*m**2*r - 2*m**2 + 2*m*r**3 + 23*m*r**2 - m - 199*r**2 wrt m.
90*m - 2*r**3 + 18*r - 4
What is the first derivative of 429*u**3 - 792 wrt u?
1287*u**2
What is the second derivative of -1391*z**2 + 1241*z wrt z?
-2782
Find the second derivative of 657*b*n**2 - b*n - 206*n wrt n.
1314*b
What is the third derivative of -104*h**4 + 7*h**3 - 2416*h**2 wrt h?
-2496*h + 42
Find the second derivative of u**3 - 118*u**2 + 17*u + 3.
6*u - 236
What is the third derivative of -2*r**5 + 20*r**4 - 4*r**3 - 69*r**2 + 4*r - 2 wrt r?
-120*r**2 + 480*r - 24
Find the second derivative of -h**3*x**3 + 225*h**3*x**2 + h*x**3 + h*x**2 + 34 wrt h.
-6*h*x**3 + 1350*h*x**2
What is the third derivative of 8*c**3*o**2 + c**3*o + 149*c**3 - 2*c**2 + 15*c*o**2 + 11*o wrt c?
48*o**2 + 6*o + 894
What is the second derivative of -46*o*y**3 + 8*o*y**2 - 14*o*y + 29*y wrt y?
-276*o*y + 16*o
Find the third derivative of 223*d**2*z**5 - 2*d**2*z**2 + 2*d**2 - 13*d*z**2 wrt z.
13380*d**2*z**2
What is the first derivative of -d**2*j**2 - d**2*t**2 + 2*d**2*t + 11*j**2 - t**2 - 3 wrt d?
-2*d*j**2 - 2*d*t**2 + 4*d*t
What is the second derivative of 3014*i**2 + 6692*i wrt i?
6028
What is the second derivative of 49*d**3 - 5*d**2 + 5*d - 10 wrt d?
294*d - 10
What is the second derivative of 3*r**2*u**3 + 4*r**2*u**2 - r**2*u - 359*u**2 + 14979 wrt u?
18*r**2*u + 8*r**2 - 718
What is the second derivative of 49*o**3 - o**2 + 20113*o?
294*o - 2
What is the third derivative of -2*o**4 + 120*o**3 + 211*o**2?
-48*o + 720
What is the derivative of m**2*o**2 - 12*m**2 - 5*m + 120*o**2 wrt o?
2*m**2*o + 240*o
Differentiate -1165*m*p + p - 89 with respect to m.
-1165*p
What is the second derivative of 3*k**3 - 19*k**2 - 33*k - 1?
18*k - 38
Find the second derivative of -1593*c**2*l**4 - 3859*c**2*l wrt l.
-19116*c**2*l**2
Find the second derivative of -6587*l**2 + 2613*l - 2.
-13174
Find the first derivative of 2*f*i*q**2*r + f*q - 12*i*q**2*r + 7*q**2*r wrt i.
2*f*q**2*r - 12*q**2*r
Find the first derivative of 24*m*q*v**3 - 9*m*q*v - m*v**3 - m*v**2 + 4*v**2 wrt q.
24*m*v**3 - 9*m*v
What is the derivative of 3178*h**2 - 365?
6356*h
What is the derivative of -3*j**4*p**3 + 134*j**4 + 2992*p**3 + p wrt j?
-12*j**3*p**3 + 536*j**3
What is the second derivative of 880*y**5 + 10122*y wrt y?
17600*y**3
Find the second derivative of -2*c**3*d**2*q - 3*c**3*d - 2*c**2*d*q**2 + c**2*q**2 + 169*d**2*q**2 - 8*d*q**2 wrt d.
-4*c**3*q + 338*q**2
Differentiate -363*k**2*u - 128*k**2 with respect to u.
-363*k**2
What is the second derivative of -5*i**3*z - 2*i**2*m*z**2 - i*z**2 - 4*i + 4*m - 1 wrt i?
-30*i*z - 4*m*z**2
Find the first derivative of 2*v**2*w**2 + v**2 - 51*w**2 + 1 wrt v.
4*v*w**2 + 2*v
Find the second derivative of 159*f**2 + 5*f + 8.
318
What is the third derivative of 108*r**5 + r**3 + 281*r**2 + r wrt r?
6480*r**2 + 6
Differentiate -4*b**4*c**2 - 7*b*c**2 - 3*c**2 - 1 with respect to b.
-16*b**3*c**2 - 7*c**2
Find the second derivative of -109*d**5 + 73*d wrt d.
-2180*d**3
What is the first derivative of 2*g**3 + 3*g**2 + 85*g - 3787?
6*g**2 + 6*g + 85
Find the second derivative of -a**5 - 56*a**4 - 209*a + 2.
-20*a**3 - 672*a**2
What is the second derivative of 3*v**5 - 263*v**3 + 2*v - 556?
60*v**3 - 1578*v
What is the second derivative of 4458*w**4 - 4107*w?
53496*w**2
What is the second derivative of 5*j**2*m**3*x**3 + 21*j**2*m**2*x**3 - 6*j*m**2*x - 5*j*m*x**3 + m**3*x**2 wrt j?
10*m**3*x**3 + 42*m**2*x**3
Find the second derivative of 1662*m**2 + 5315*m wrt m.
3324
Find the third derivative of h**5 - 41*h**3 + 73*h**2 - h wrt h.
60*h**2 - 246
What is the first derivative of -9358*s*y**2 + 2*s - 1458 wrt y?
-18716*s*y
What is the second derivative of -8*k**3*q**2 - 2*k**3 - 8*k**2*q + 2*k*q**2 + k*q + 1137*k wrt k?
-48*k*q**2 - 12*k - 16*q
Differentiate 8024*c - 576.
8024
What is the third derivative of 795*r**3 + 82*r**2 + r?
4770
What is the third derivative of 8*f**3*x**3 - f**3 - 83*f*x**3 - 3*f*x**2 + 7*f - 29*x wrt x?
48*f**3 - 498*f
Find the first derivative of h**3 - 6*h**2 + 313 wrt h.
3*h**2 - 12*h
Find the third derivative of 311*h**3 + 24*h**2.
1866
Find the second derivative of -17*f**2*r**3 - 44*f**2*r + f**2 + 2*f*r**3 + 2*r**3 + r wrt r.
-102*f**2*r + 12*f*r + 12*r
What is the third derivative of -16773*o**3 + 7365*o**2 wrt o?
-100638
What is the third derivative of -12*f**3*k*o*w**2 + 4*f**3*k*w**2 + 3*f**3 + 2*f**2*k*w**2 + 5*f*k*o*w**2 + k*w**2 + 10*o wrt f?
-72*k*o*w**2 + 24*k*w**2 + 18
What is the derivative of -u*z**3 - 95*u - z**3 + 63 wrt u?
-z**3 - 95
Find the third derivative of -4*i**5 + 451*i**4 - 2*i**3 - 2*i**2 + i - 434 wrt i.
-240*i**2 + 10824*i - 12
Find the second derivative of 25*d*n**4 - d*n**3*p - 2*d*n**2*p - 2*d*n*p - 8*d*n - 4*n*p wrt n.
300*d*n**2 - 6*d*n*p - 4*d*p
Find the first derivative of 39*g**4 + 5*g**2 + 769.
156*g**3 + 10*g
Differentiate d*t**4 - 49*d*t**3 - 194*d wrt t.
4*d*t**3 - 147*d*t**2
Find the third derivative of -4*l**4*w**3 + 39*l**3*w**3 + 33*l**2*w**2 - l - 3*w**3 wrt l.
-96*l*w**3 + 234*w**3
Find the second derivative of 10987*g**2*i**2 - 2*g*i - 2167*i**2 wrt g.
21974*i**2
Find the third derivative of 9376*i*n**3 - 10*i*n**2 + 519*i wrt n.
56256*i
Find the second derivative of 24*f**5*r**3 + 4*f**5 - 3*f*r**2 - 30*r**3 wrt f.
480*f**3*r**3 + 80*f**3
Find the first derivative of -354*r**3 + 6 wrt r.
-1062*r**2
Find the first derivative of 17*u**2 + 2*u - 717.
34*u + 2
Differentiate -35*b*g + 2091*b with respect to g.
-35*b
Find the third derivative of -9*q*r**4 - 5*q*r**3 + 2*q*r**2 - 4*q*r - 365*q + 2*r**3 wrt r.
-216*q*r - 30*q + 12
Find the first derivative of 5*d**2 - 86*d + 30374 wrt d.
10*d - 86
Find the second derivative of -15*b**2*d**2*f + b**2*d**2 + b**2*f + 2*b*d + 2*d**2*f + 14*f wrt b.
-30*d**2*f + 2*d**2 + 2*f
What is the third derivative of o**3*t**2 + 1776*o**3 + 2*o**2*t**2 + o**2*t - 9*o*t**2 - 17*t**2 wrt o?
6*t**2 + 10656
Differentiate -5*x**3*y + x**3 - x**2*y + 49*y - 7 with respect to x.
-15*x**2*y + 3*x**2 - 2*x*y
Differentiate -f**3 + 2*f**2 + 6*f*h + 183*f - 6131*h with respect to f.
-3*f**2 + 4*f + 6*h + 183
What is the third derivative of -4*o*x**3 + 2*o*x**2 + 344*o*x - 61*x**4 - 6*x**3 - 5 wrt x?
-24*o - 1464*x - 36
What is the second derivative of 2305*m*z**2 - 598*m*z wrt z?
4610*m
What is the third derivative of a**5*m + 2*a**4*m**2 - 21*a**4 + a**2*m - 964*a*m**2 wrt a?
60*a**2*m + 48*a*m**2 - 504*a
Find the third derivative of -2*k**3*q*t**3 + 2*k**3*q*t**2 - 3*k**3*q*t - 6*k**3*t**2 + 3*k**2 + k*q*t**3 - 10*q*t**3 wrt t.
-12*k**3*q + 6*k*q - 60*q
Find the first derivative of 152*q**2 + 254.
304*q
Find the first derivative of -65*z**4 - 158 wrt z.
-260*z**3
Find the second derivative of 322*a**3*z**3 + 333*a**3 + 17*a*z - 40*z**4 wrt z.
1932*a**3*z - 480*z**2
What is the third derivative of -l**5 - 162*l**3 + l**2 - 69 wrt l?
-60*l**2 - 972
What is the derivative of -17*m*
|
{
"pile_set_name": "DM Mathematics"
}
|
= 0 for x.
-5
Suppose 0 = -2*z + 3*x + 25, -3*z + 2*z + 10 = -x. Suppose 1 = -z*t + 26. Solve t*b + 6 - 1 = 0 for b.
-1
Let i be 220/35 - (-4)/(-14). Let v(t) = t**3 - 6*t**2. Let p be v(i). Suppose -4*n = -2*z + 3 + 11, 3*z + 5*n = 10. Solve p = -0*c + z*c - 15 for c.
3
Let j(z) be the first derivative of -z**3/3 - z**2/2 + 12*z + 3. Let d be j(0). Solve -3*h + 0*h = -d for h.
4
Let c = -6 + 3. Let p = -3 - c. Solve p = -2*m + 2 for m.
1
Suppose 18 = 3*g + 12. Solve g*y - 3*y = 3 for y.
-3
Let a(f) = -2*f + 21. Let v be a(11). Let i(p) = p**2 - p. Let t be i(v). Solve t = 4*d - 5*d for d.
-2
Suppose -w - 4*u = 4, 7 - 3 = -2*w - 4*u. Let d(r) = 8*r**3 + 1. Let m be d(1). Solve 2*z + z - m = w for z.
3
Let g = 2 - 4. Let t = g - -3. Suppose n + 4*s = -1 - 12, t = -n - s. Solve -n*f + 2 = -4*f for f.
-2
Let l = 6 - 8. Let v(f) = f**2 - 2. Let h be v(l). Let q be (-294)/(-35) - (-4)/(-10). Solve -2 + q = h*x for x.
3
Let n = 160 - 160. Solve n = -0*u + 3*u + 3 for u.
-1
Let h(w) be the third derivative of w**4/24 - 3*w**2. Let n be h(2). Solve -n*o = -o for o.
0
Let f = -22 + 22. Solve -5*b = -f*b - 10 for b.
2
Suppose -2*z + 0*z = 0. Let b(r) = -r - 9. Let s be b(z). Let q be (-11)/(-3) - (-6)/s. Solve -q*k = -0*k - 12 for k.
4
Let y(m) = m**2 + 13*m - 14. Let c be y(-14). Suppose c = 2*f - 0*f - 10. Solve -f - 7 = -3*g for g.
4
Suppose 12*p = 10*p + 8. Solve 3*k + p = 5*k for k.
2
Suppose 3*w = -6 + 24. Let u = w - 7. Let r = u + 10. Solve 3*f = -0*f + r for f.
3
Let r(v) = v - 3. Let c be r(7). Let s = 5 - -7. Let p be 6/(-4) + s/8. Solve p = -2*l + 4*l + c for l.
-2
Suppose 4 = -4*n - 4*i, 0*n + 8 = n - 2*i. Solve k - n*k = 0 for k.
0
Let a be 2/(-7) - (-4)/14. Suppose -2*g - 16 = -6*g. Solve g*o = -a*o for o.
0
Suppose -2*s + 2 = 0, -5*s + 8*s - 7 = -4*u. Solve -5*j - u = 24 for j.
-5
Suppose 0 = 7*v - 11 - 3. Suppose -2*l + 0 = -v. Solve -l - 7 = 2*t for t.
-4
Suppose 7*c = 2*c + 3*b, 0 = -2*c - 3*b + 21. Solve 0 = k + c + 2 for k.
-5
Let k(y) = -y**3 + 6*y**2 - 4*y - 5. Let t be k(5). Let l = t - -2. Solve l*w = 4*w - 4 for w.
2
Let p(h) = 4*h**3 + h**2 - 2*h + 2. Let w be p(1). Let a = w - -3. Solve a - 23 = 3*o for o.
-5
Let b = 11 - 8. Let m(h) = h - 2. Let f be m(5). Suppose -4*u + f = -5. Solve -w + b = u*w for w.
1
Let x(p) = 2*p**3 - 2*p**2 - 3*p + 4. Let m be x(2). Solve 0 = -2*r - m for r.
-3
Suppose 2*r + 44 = 2*h, 4*h - 4*r - 84 = -2*r. Suppose 0 = -2*z + 7*z - h. Solve z*g = g for g.
0
Suppose -3*o + 0 = -3. Let r be 4/6 + 10/(-15). Let q be (-9)/(-45) - (-138)/10. Solve r = -5*k - q - o for k.
-3
Let s(g) = -7*g - 5. Let f be s(-1). Solve -f*w = -w for w.
0
Let l(p) = -p**2 - 7*p - 2. Let h be l(-6). Let d(n) = -n**2 - 4*n + 3. Let z be d(-4). Solve -h + z = -q for q.
1
Let a(y) = y + 3. Let s be a(-3). Solve s = 3*r - r for r.
0
Let z(f) = -f - 1. Let u be z(-5). Suppose -u*o + 0*o = 0. Suppose -3*k = -3*l - 9, 0 = 2*k + 2*l - o*l - 22. Solve -k*y + 3*y = 4 for y.
-1
Suppose 3 = -l + 10. Let p be (-1 - -2) + 12/3. Solve -8 = -p*m + l for m.
3
Let c(s) = -s**2 - s. Let t(r) = -3*r**2 - 6*r + 5. Let g(x) = 2*c(x) - t(x). Let z be g(-5). Solve z = u - 2 + 1 for u.
1
Let f be 2*(2 - (2 - 2)). Suppose -58 = -j + 5*j - 3*g, g - 67 = 5*j. Let x = -11 - j. Solve 10 - x = -f*i for i.
-2
Suppose -18*h + 9 = -15*h. Solve -3 = -h*f + 2*f for f.
3
Let m = 25 + 0. Solve q - m = 6*q for q.
-5
Suppose -3*q = -2*d - 3*d - 4, 4*q = -3*d + 15. Suppose -x - q = -4. Solve j = x - 5 for j.
-4
Let o = 82 + -79. Solve -h + 4 = o*h for h.
1
Suppose -76 = -5*h + 29. Let b = -15 + h. Let s = 110 - 110. Solve s = -b*n + 2*n - 20 for n.
-5
Let m(v) = -v**2 + 4. Let o be m(2). Solve -5 = -o*d - 5*d for d.
1
Suppose -4*r + 46 = 2*k + r, 5*k - 4*r - 82 = 0. Let b(u) = u + 9. Let w be b(-7). Solve -w*g + 8 - k = 0 for g.
-5
Let w be 76/10 - (85/(-25) - -3). Solve 6*k - w = 4*k for k.
4
Let k(w) = -1. Let i(v) = -v**3 + 6*v**2 - v - 2. Let g(o) = -i(o) + 6*k(o). Let m be g(6). Solve 7*f - m*f = 25 for f.
5
Let y be (-4 + 12/3)*-1. Solve 4*x - 5*x + 1 = y for x.
1
Let l be (-8)/68 + (-174)/(-34). Solve -3 + l = -q for q.
-2
Let u = 3 + 2. Suppose -4*o - o = 4*x - 26, -3*o + 26 = u*x. Solve b = o*b for b.
0
Let y be 3*(-2 - -4 - 1). Solve -7*r + y*r = -16 for r.
4
Let s(w) = 8*w - 37. Let o be s(5). Solve o*m - 2 = 4 for m.
2
Let n(r) = 4*r - 10. Let x be n(6). Let s = -2 + x. Solve 4*g + 0*g - s = 0 for g.
3
Let c = -5 + 8. Suppose a - 5*y = -4*a + 15, c*a - 5 = 5*y. Suppose 0 = -a*v - 10, 2 = -4*t - v - 2*v. Solve -t - 8 = 3*j for j.
-3
Let m(r) = r**2 - 7. Let z be m(3). Suppose -3*j + 4 = c + 4*c, -5*c + 16 = -3*j. Suppose -4*g + 3*g = -c. Solve g = -z*o - 0 for o.
-1
Let k(m) = 2*m - 7. Let g be k(5). Suppose 3*n + 1 = -2, -4*p = -3*n - g. Solve 7*a - 4*a - 6 = p for a.
2
Suppose 3*a = -0*a. Suppose -3*i - q = -16, -2*q + 2 + 6 = a. Solve n = i*n for n.
0
Suppose -j + 4 = 1. Solve -3 = -j*n + 6 for n.
3
Let j(u) = -2*u + 22. Let w be j(10). Solve -w = 5*p + 8 for p.
-2
Suppose u - m = 3, 3*u + 9*m = 4*m - 15. Solve -7*j + 10*j = u for j.
0
Let w(k) = 3*k**3 + 10*k**2 + 2*k - 1. Let u(j) = 2*j**3 + 5*j**2 + j. Let z(g) = -5*u(g) + 3*w(g). Let h be z(5). Solve h*p - 3 + 7 = 0 for p.
-2
Let o(n) = -5*n - 62. Let d be o(-13). Solve 4 = -d*m + 1 for m.
-1
Let d(r) = -r - 5. Let v be d(-6). Solve v = 2*z - 3 for z.
2
Suppose 2*b - 18 = -o - b, 5*o = 4*b - 5. Let x be 21 - (3 + -4 + 2). Solve -o*i = i - x for i.
5
Let u = 22 + -36. Let a be (-24)/u + 4/14. Solve 3 = -a*d - 1 for d.
-2
Suppose 2*m = 2*f - f - 12, -5*m = 4*f + 17. Solve -f*y = -6*y + 12 for y.
3
Let r = -19 - -7. Let l = r + 15. Solve -l + 1 = g for g.
-2
Let h(o) = -o**2 - 7*o + 6. Let n = -17 - -7. Let f be h(n). Let d be -3 + (-3)/(9/f). Solve 27 = d*w + 7 for w.
4
Suppose -2*k - 3*k + 20 = 0. Solve k*o + o = 5 for o.
1
Suppose 0 = -12*s + 11*s + 11*s. Solve 12 = -3*h - s for h.
-4
Let d(f) = -f**3 + 4*f**2 + 7*f - 7. Let v be d(5). Solve 0 = i - v + 6 for i.
-3
Suppose 2*q - 4 = q. Solve 0*u - q = -4*u for u.
1
Let q(b) = 17*b**2 - b. Let o be q(1). Solve o = -3*z + 1 for z.
-5
Suppose 0*z - s = -z - 3, 2*z = s - 10. Let a = z - -3. Let k = 4 + a. Solve k = -w - 2*w for w.
0
Suppose 6 = z - 19. Suppose z = -2*n + 3*n. Solve 2*s - n = -3*s for s.
5
Let p be 5/(15/(-9))*-1. Solve 0 = -4*w + p*w - 3 for w.
-3
Suppose 0*s = -4*s + 16. Suppose 4 = -s*o - 4. Let f be -1 - (1 - 2) - o. Solve f*w + 12 = 2 for w.
-5
Let w be (-1)/((-3)/((-21)/1)). Let r be 4/(-14) + (-16)/w. Solve r*a - 1 = -3 for a.
-1
Let k(p) = -p**2 - 6*p + 5. Let s be k(-6). Let i(n) = 2*n - 1. Let g be i(s). Solve 3*t = -3 + g for t.
2
Let t be 4 + -3 + 1 - -1. Let w = 4 + -2. Solve a - t = w for a.
5
Suppose 0*w = 4*w - 16. Solve -6*x + w = -4*x for x.
2
Suppose 0 = -3*i + 5*q - 9 + 1, -3*q = i - 16. Solve 0 = -4*b + 6*b - i for b.
2
Suppose 2 = -4*z + 14. Let h be (z - 1)*(-8)/(-4). Solve -4*l + h = -0 for l.
1
Suppose 3*f = -f. Let m(w) = -w**2 + w. Let c be m(f). Solve c = -a + 2 + 1 for a.
3
Let b(m) = -m**2 + 8*m. Let o(s) be the second derivative of s**4/12 + 5*s**3/6 + s**2 + 2*s. Let i be o(-6). Let h be b(i). Solve d + 3 - 2 = h for d.
-1
Let a = 89 - 86. Solve -a*n = -2*n - 1 for n.
1
Let w = -3 - -3. Suppose 0 = 3*t - 7*t - 8. Let o = w - t. Solve -o*h + 0*h = -4 for h.
2
Let t(u) = 4*u + 26. Let k be t(-5). Solve 3*d + 21 = k for d.
-5
Suppose -5 = -2*o - 3*o - 4*i, 4*o = -5*i - 5. Solve o - 13 = -4*c for c.
2
Suppose -2*l - 4*b = -6, -l - 4*b = -4 - 1. Solve -l = -3*w + 4*w for w.
-1
Suppose 3*r = -5*w + 6, -r - 4 = -2*w - 6. Solve -r*z = z for z.
0
Suppose 4*h + 4 = 12. Solve d = -h*d - 3 for d.
-1
Let u = -2 - -4. Suppose u*x + 5 = 3*x. Suppose x*p - 4*s = -3*s - 3, -3*p - 2*s + 6 = 0. Solve -4*f - 8 = -p*f for f.
-2
Suppose 5*x = 5*d + 20, x - 2*d + 3*d - 6 = 0. Let y = -10 + 18. Suppose o + y = x*o. Solve 0 = -o*s + s - 5 for s.
-5
Let d be 5 + 1 + -2 + 0. Suppose 10 = d*a - 6. Solve a*m - 8 = -0*m for m.
2
Let u be (-8)/44 - (-92)/22. Solve -u*q - 12 = -0 for q.
-3
Let t(a) = 4*a + 32. Let n be t(-8). Let x(v) = -6*v - 4. Let r be x(-4). Solve n*g + 4*g = r for g.
5
Let c be (-2 + 1)*-1 + 2. Suppose -z = 3*a - c, -3 = -z + 2*z. Solve a = 2*d - 4 for d.
3
Suppose -5*z - 123 = d, -3*d + 127 - 16 = -5*z. Let t
|
{
"pile_set_name": "DM Mathematics"
}
|
- w**2 - 3*w**2. Let d(t) = -2*t**2 - t + 4. Let x(k) = d(k) + 3*l(k). Determine -2*h(z) + x(z).
-z**2 - z + 3
Let c = -193 - -190. Let w(s) be the second derivative of -s**4/6 + s**3/2 - 3*s**2/2 - s. Let f(b) = 10*b**2 - 14*b + 14. Calculate c*f(l) - 14*w(l).
-2*l**2
Let h(t) = -43*t + 5. Let m(b) = -41*b + 4. What is 5*h(g) - 6*m(g)?
31*g + 1
Let r(q) = -32*q - 3. Let n(l) = -10*l - 1. Calculate -7*n(h) + 2*r(h).
6*h + 1
Let y(c) = 14*c - 65. Let g(s) = 11*s - 63. Determine 5*g(r) - 4*y(r).
-r - 55
Let u(k) = -50*k + 3. Let c(j) = -152*j + 10. Give -2*c(a) + 7*u(a).
-46*a + 1
Let k(u) = -u**2 - u - 4. Let j(h) = -6*h**2 - h. Let p(b) = -37*b**2 - 7*b - 5. Let z(s) = 6*j(s) - p(s). Let r be -1*(1 + (2 - 0)). Determine r*k(t) - 2*z(t).
t**2 + t + 2
Let c(z) = 14*z**2 + 6*z - 1. Let i(y) = -2*y**2 - y - 2. Determine c(l) + 5*i(l).
4*l**2 + l - 11
Let n(d) = -6*d**2 - 10*d + 152. Let z(k) = k**2 + 2*k - 30. What is -3*n(q) - 16*z(q)?
2*q**2 - 2*q + 24
Let v(b) = -12*b - 10. Let a(y) = 11*y + 9. Let n(t) = 4*a(t) + 3*v(t). Let g(p) = -21*p - 2 - 2 + 41*p - 1 - 27*p. Calculate 5*g(m) + 4*n(m).
-3*m - 1
Let a be 4*(15/(-2))/(-15). Let u(d) = 2 + 4*d**3 - 2 - 2*d - 2 + 2*d**2. Let y(w) = -5*w**3 - 3*w**2 + 2*w + 3. What is a*y(i) + 3*u(i)?
2*i**3 - 2*i
Let v(d) = 29*d - 5. Let n(r) = -42*r + 8. Determine -5*n(c) - 7*v(c).
7*c - 5
Let w(i) = 2*i + 2. Let m(u) = -691*u - 4. Calculate -m(j) - 3*w(j).
685*j - 2
Let w(h) be the third derivative of -209*h**4/24 + 163*h**2. Let p(i) = 16*i. What is -66*p(v) - 5*w(v)?
-11*v
Let x(b) = b**3 - 4*b + 3. Let h be x(2). Suppose -2*t = h*s - 49, -s + 5*t + 73 = 3*s. Let z(l) = 2*l - 9. Let c(r) = 6*r - 26. Determine s*z(k) - 6*c(k).
-2*k + 3
Let d(t) = -7*t**3 - 3*t**2 + 5*t + 7. Let z(m) = 23*m**3 + 9*m**2 - 16*m - 22. Give -7*d(v) - 2*z(v).
3*v**3 + 3*v**2 - 3*v - 5
Let c(o) = 5*o + 3. Let n = 40 + -34. Let q be (8/4)/(-5 - -6). Let l(k) = -k - 1. Calculate n*l(r) + q*c(r).
4*r
Let p(m) be the second derivative of m**3/2 + 5*m**2/2 + m. Let n(s) = -3*s - 11. Let g(o) = o + 4. Let t(d) = -8*g(d) - 3*n(d). Determine p(k) - 4*t(k).
-k + 1
Let j = -110 - -115. Let u(l) = -8*l + 6. Let f(v) = -v. Let m(r) = 5*r - 2. Let y(b) = 2*f(b) + m(b). Let d be ((-1)/(-2))/(2/56). Give d*y(c) + j*u(c).
2*c + 2
Let m(j) = 171*j + 2. Let l(t) = -4*t. Determine 5*l(h) - m(h).
-191*h - 2
Suppose -16*p - 2257 = -2529. Let w(a) = 23*a - 23. Let f(r) = 8*r - 8. What is p*f(s) - 6*w(s)?
-2*s + 2
Let p(u) = 6*u**2 + 2*u - 3. Let k(a) be the second derivative of -7*a**4/12 - a**3/3 + 2*a**2 - 3*a. Let n be (-724)/1267 + 24/(-7). Calculate n*p(y) - 3*k(y).
-3*y**2 - 2*y
Let r(v) = 50*v - 39. Let f be r(1). Let k(s) = s**2 - 2. Let p(o) = -6*o**2 + o + 11. What is f*k(d) + 2*p(d)?
-d**2 + 2*d
Let x(r) = -4*r**2 - 13*r + 13. Suppose 0 = -112*f + 111*f + 26. Let l(o) be the first derivative of 3*o - 3/2*o**2 + 1 - 1/3*o**3. What is f*l(n) - 6*x(n)?
-2*n**2
Let f(d) = -6*d**2 - 17*d. Let g(u) be the second derivative of -1/12*u**4 + 0*u**2 - 1/2*u**3 + 14*u + 0. What is 6*f(x) - 34*g(x)?
-2*x**2
Let g(a) = -17*a + 2. Let p(s) be the third derivative of -13*s**4/12 + s**3/2 - s**2 + 6. Determine 8*g(v) - 5*p(v).
-6*v + 1
Let b(n) = -20*n - 10. Let m(v) = -4*v - 2. Let p = -135 - -82. Let u = p + 55. What is u*b(x) - 11*m(x)?
4*x + 2
Let x(t) = -6*t**2 - 6*t + 1. Let s be 2*(-56)/(-24) - 1/(-3). Let u(k) = -5*k**2 - 5*k + 1. Calculate s*u(l) - 4*x(l).
-l**2 - l + 1
Let i(u) = -77*u**2 + 11*u + 29. Let o(s) = 39*s**2 - 6*s - 16. Determine -4*i(n) - 7*o(n).
35*n**2 - 2*n - 4
Let d(k) = -44*k**2 + 28*k. Let j(y) = -8*y**2 + 5*y. Suppose -5*l - o + 5*o + 20 = 0, 5*l = 5*o + 20. Suppose -l*i + 2 - 22 = 0. Calculate i*d(v) + 28*j(v).
-4*v**2
Let g(i) = 21*i + 16. Let a(t) = 24*t + 17. Calculate -4*a(m) + 5*g(m).
9*m + 12
Let z(l) = 2*l + 7. Let g(h) = 1. What is 6*g(f) - z(f)?
-2*f - 1
Let x(a) = 7*a - 7. Let k(n) = -10*n + 6. What is -3*k(s) - 4*x(s)?
2*s + 10
Suppose 4*k + 0 - 36 = 0. Let u(v) = 5*v + 4. Suppose 2*z - 5*w + 12 = 0, 0 = -3*w + 13 - 1. Let c(l) = 3 + 6 + z*l + 7*l. Calculate k*u(m) - 4*c(m).
m
Let f(a) = 8*a - 2. Let w(y) = -7*y + 2. Let l(z) = -35*z - 391. Let n be l(-11). Give n*f(g) - 7*w(g).
g - 2
Let q(c) = 5 - 2 + 1 + 9*c. Let w = 4 + -11. Let j(g) = -3 - 4*g + 8 - 7 + 0. What is w*j(l) - 3*q(l)?
l + 2
Let p(g) = -3*g**2 - 1. Let b(f) = -7*f**2 + f + 29. Give -b(j) + 2*p(j).
j**2 - j - 31
Let y be 4/(-5)*(1 + -6) + -7. Let g(l) = 4*l**3 + 4*l**2 - 4*l. Let z(p) = 4*p**3 + 3*p**2 - 3*p. Let i = 9 - 5. Calculate i*z(r) + y*g(r).
4*r**3
Let j(x) = 5*x - 4. Let w(t) = 12*t - 7. What is -7*j(y) + 3*w(y)?
y + 7
Suppose -32*h + 31 - 159 = 0. Let c(f) = 11*f + 5. Let k(a) = -12*a - 6. What is h*k(t) - 5*c(t)?
-7*t - 1
Let y(b) = -4*b - 74. Let f(k) = -11*k - 221. Determine 6*f(z) - 17*y(z).
2*z - 68
Let c(q) = -5*q - 52. Let i(k) = -9*k - 103. What is -5*c(t) + 3*i(t)?
-2*t - 49
Let u be (-6)/14 - (-1)/((-28)/(-68)). Suppose 2*h - 5 = i + u, -4*i + 3*h = 28. Let w(q) = -4*q. Let m(v) = 3*v. What is i*m(l) - 5*w(l)?
-l
Let t(b) = 7*b**3 - 7*b**2 - 3. Suppose -14*g - 100 = -34*g. Let y(h) = -h**3 + h**2 + 1. What is g*y(f) + t(f)?
2*f**3 - 2*f**2 + 2
Let r(g) = 2*g - 3. Let f(q) = -9*q + 2. Let w(d) = -11*d + 2. Let b(u) = -3*u + 4. Let v be b(3). Let z(n) = v*f(n) + 4*w(n). Give 2*r(o) - 3*z(o).
o
Let m = -21 + 54. Let w(v) = -15*v**2 + 11*v. Let z(l) = -3*l**2 + 2*l. Determine m*z(r) - 6*w(r).
-9*r**2
Let s(t) = 6*t**2 - 5*t + 20. Let g(m) = -2*m**2 + 2*m - 7. Let w = -229 - -225. Determine w*s(u) - 11*g(u).
-2*u**2 - 2*u - 3
Let d(i) = 5 - 2 - 2. Let z(b) = -2*b. Let k = -7 + 5. Determine k*d(w) + z(w).
-2*w - 2
Let f(a) = a**2. Suppose 17*j = 13*j + 8. Let z(g) = -3*g**2. What is j*f(r) + z(r)?
-r**2
Let z(w) = -16*w - 1. Let h(r) be the third derivative of -47*r**4/24 - r**3/2 + 12*r**2 - 8. Calculate -2*h(g) + 7*z(g).
-18*g - 1
Let j(d) be the second derivative of -d**5/10 + d**4/12 + d**3 - 8*d + 2. Let u(k) = 6*k**3 - 3*k**2 - 17*k. Determine 17*j(a) + 6*u(a).
2*a**3 - a**2
Let j(i) = 96*i + 88. Let t(v) = v + 1. What is -2*j(h) + 176*t(h)?
-16*h
Let b(d) = -d. Let r(g) = g**3 - 16*g**2 + 4. Let k be r(16). Suppose 2*a + 0 = -4*n + 32, k*n - 2 = 3*a. Let s(w) = w. Determine a*b(q) + 5*s(q).
-q
Let d(z) = 6*z**2 - 4*z - 5. Let n = 9 - 12. Let o(h) = -22*h**2 + 16*h + 12. Let i(v) = 7*v**2 - 5*v - 4. Let y(w) = -7*i(w) - 2*o(w). What is n*d(t) - 4*y(t)?
2*t**2 - 1
Let q(p) = p**2 + 6*p. Let a(i) = -5*i**2 - 18*i - 46. What is -a(f) - 3*q(f)?
2*f**2 + 46
Let j(p) = 9*p + 16. Let w(u) = 8*u + 14. Let h(f) = -3*j(f) + 4*w(f). Let i(m) = m - 1. Give h(t) + 6*i(t).
11*t + 2
Let v(w) = w**2 + w - 1. Let u(x) = -8 + 2*x**2 + 7*x + 2 + 3. What is -u(g) + 5*v(g)?
3*g**2 - 2*g - 2
Let r(x) = -298*x**2. Let z(g) = g**2. Give 2*r(i) + 6*z(i).
-590*i**2
Suppose -17*w + 92 + 27 = 0. Let b(q) = 2*q**3 + q + 2. Let h(a) = -3*a**3 - a - 2. Give w*b(d) + 6*h(d).
-4*d**3 + d + 2
Let y(d) = -2*d + 4. Let n = 20 + -8. Let h be (-3)/(-6)*n*1. Let v(z) = -z + 2*z - 3*z + 5. What is h*y(i) - 5*v(i)?
-2*i - 1
Let b(c) = 7*c**2 - 7*c - 7. Let m(o) = o**3 + 7*o**2 + 14*o + 55. Let d be m(-6). Let w(y) = 7*y**2 - 6*y - 6. Determine d*w(t) - 6*b(t).
7*t**2
Let i(l) = 4*l**3 - 5*l**2 - 2*l. Let b = 5 - 0. Let x(o) = 3*o - 2*o**3 - o**3 + o**3 + 8*o**2 - 4*o**3 + 0*o**2. Give b*x(p) + 8*i(p).
2*p**3 - p
Let u(s) = -16*s + 22. Let j(f) = 14*f - 18. Let r(z) = -4*j(z) - 3*u(z). Let v(c) = 1 - 4 - 8 + 15*c. Calculate 11*r(l) + 6*v(l).
2*l
Let p(v) = 5*v - 1. Suppose -a = l + l + 11, -3*l = 4*a + 9. Let g(m) = -16*m + 4. Give l*p(d) - 2*g(d).
-3*d - 1
Let y(w) = 16*w**3 + 4*w**2 - w + 4. Let r(v) = 31*v**3 + 7*v**2 - v + 7. What is -4*r(n) + 7*y(n)?
-12*n**3 - 3*n
Let f(k) = -18*k**3 + 10*k**2 + 1088*k + 2. Let z(v) = 7*v**3 - 4*v**2 - 544*v - 1. What is 2*f(n) + 5*z(n)?
-n**3 - 544*n - 1
Let b(r) = -6*r**2 - 4. Let g(o) = -6*o**2 - 3. Calculate -4*b(d) + 5*g(d).
-6*d**2 + 1
Let w(r) = 2*r - 1. Let n(c) = 546*c**2 - 6*c + 3. Determine -n(x) - 3*w(x).
-546*x**2
Let n(p) = -6*p + 8. Let b(z) = -z**3 - 31*z**2 - 133*z - 70. Let x be b(-26). Let g = -3 + 0. Let i be 3*g/(-9) + 0. Let q(f) = f - 1. What is i*n(v) + x*q(v)?
2*v
Let h(b) be the second derivative of
|
{
"pile_set_name": "DM Mathematics"
}
|
).
39*n**3 - 2*n + 1
Let f(k) = -3*k**3 + 11*k**2 - 5*k + 9. Let p(u) = 2*u**3 - 6*u**2 + 2*u - 5. Calculate 4*f(n) + 7*p(n).
2*n**3 + 2*n**2 - 6*n + 1
Let g(o) = -7*o - 129. Let w(i) = -6*i - 128. Determine 5*g(t) - 6*w(t).
t + 123
Let b(m) = 16*m**3 - 16*m - 30. Let g(o) = -3*o**3 + 3*o + 6. Determine 2*b(c) + 11*g(c).
-c**3 + c + 6
Let i(u) = -2*u**2 - 10*u + 2. Let j be i(-5). Let p(t) = 13*t + 4 + 22*t**2 - 21*t**2 + j. Let q(m) = -4*m - 2. What is 2*p(c) + 7*q(c)?
2*c**2 - 2*c - 2
Let b(x) = 3*x**2 + 5*x + 7. Let h(o) = 5*o**2 + 5*o + 8. Let p(z) = -4*b(z) + 3*h(z). Let a(c) = -c**2 + 1. Calculate -4*a(t) - p(t).
t**2 + 5*t
Let k(q) = 18*q**2 - 7*q - 1. Let j(p) = 9*p**2 - 3*p - 1. Give -7*j(v) + 3*k(v).
-9*v**2 + 4
Let b(s) = 4 + 414*s - 411*s - 4. Let d(p) = -p - 1. Calculate -b(k) - 2*d(k).
-k + 2
Let t(j) = 16*j**2 - 33*j - 3. Let p be t(2). Let u(a) = a. Let z(o) = -15*o**2 - 5*o. What is p*u(i) - z(i)?
15*i**2
Let a(m) = 35*m - 11. Let j be 133/(-798) + (-131)/6. Let l(i) = 7*i - 2. Calculate j*l(y) + 4*a(y).
-14*y
Let p(j) be the first derivative of j**2/2 + 7*j - 1181. Suppose 0 = -2*w - 4, -4*g = -5*w + w + 20. Let k(o) = -o - 5. Give g*k(d) - 5*p(d).
2*d
Let y(a) = -a**2 - a + 1. Let g(n) = -5*n**2 - 4*n - 19. Calculate g(c) - 3*y(c).
-2*c**2 - c - 22
Let z(k) = -23*k**3 + 5*k**2 - 14*k - 14. Let s(v) = 12*v**3 - 2*v**2 + 7*v + 6. Calculate 7*s(n) + 3*z(n).
15*n**3 + n**2 + 7*n
Let d(h) = -3*h - 2. Let r(v) be the second derivative of v**3/6 + 77*v. Give d(q) + 4*r(q).
q - 2
Suppose 179*w - 185*w = -6. Let r(y) = -y + 1. Let k(t) = -2*t - 2 - 2*t + 5*t + 0*t. Give w*k(n) + 3*r(n).
-2*n + 1
Let o(s) = -10*s**3 - 5*s**2 + 8. Let b(g) = 9*g**3 + 3*g**2 - 8. Give -3*b(j) - 2*o(j).
-7*j**3 + j**2 + 8
Let l(h) = h**2 - 2*h. Suppose 0 = -u - 0*u - 12. Let o = -19 - -33. Let s = o + u. Let c(n) = 3*n**2 - 5*n - 1. Calculate s*c(q) - 5*l(q).
q**2 - 2
Let n(g) = g**2 - 3*g. Let q(a) = -178*a**2 + 15*a + 1. Calculate 10*n(v) + 2*q(v).
-346*v**2 + 2
Let o(k) = -8*k**3 - 2*k**2 + 2*k. Let a(n) = -11*n**3 + 7*n**2 + 8*n + 5. Let d(m) = 2*m**2 + m + 1. Let v(z) = 3*a(z) - 15*d(z). Calculate -9*o(c) + 2*v(c).
6*c**3
Let n(w) = 12*w**2 + 237*w + 10. Let r(a) = 14*a**2 + 237*a + 12. Give 6*n(k) - 5*r(k).
2*k**2 + 237*k
Let t(x) = 18*x**2 - x + 84. Let h(o) = -14*o**2 + o - 85. Determine 4*h(s) + 3*t(s).
-2*s**2 + s - 88
Let q = -6 + 10. Let y(x) = -48*x + 140*x - 49*x - 5 - 51*x - 1. Let i(d) = 3*d + 2. Suppose -3*r + 2*m + 36 = 5, 2*r + m - 23 = 0. Determine q*y(w) + r*i(w).
w - 2
Let m(b) = 2*b**2 + 5*b - 5. Let n(f) = 19*f + 62. Let t be n(-3). Let u(y) = 4*y**2 + 9*y - 10. What is t*m(q) - 3*u(q)?
-2*q**2 - 2*q + 5
Let m(l) = 16*l**3 - 20*l**2 + 20*l. Suppose v + 16 = a, 4*v + 3*a = -0*v - 92. Let f(z) = -z**3 + z**2 - z. Give v*f(n) - m(n).
4*n**3
Let h(x) = -25*x**3 + 4*x**2 - 4*x + 4. Let z be ((-180)/(-120))/((-6)/16). Let d(t) = -126*t**3 + 21*t**2 - 21*t + 21. Calculate z*d(r) + 21*h(r).
-21*r**3
Let i(f) = -679*f**3 + 7*f - 6. Let v(h) = -680*h**3 + 8*h - 7. Give -7*i(k) + 6*v(k).
673*k**3 - k
Let y(b) = -40*b**2 + 6*b - 16. Let z(f) = 27*f**2 - 4*f + 11. What is 5*y(s) + 8*z(s)?
16*s**2 - 2*s + 8
Let o(z) = -1. Let p(h) = h + 1. Let b(t) = -2*t - 7. Let k be b(-5). Suppose -5*q - 12 = k*y, 8 + 2 = y - 3*q. Suppose -y = -9*a + 10*a. What is a*p(m) - o(m)?
-m
Let i(z) = 22*z + 88. Let a(t) = -11*t - 47. Calculate -5*a(j) - 3*i(j).
-11*j - 29
Let n(u) = 11*u + 4. Let p be n(2). Let q(l) = -4*l. Let h(d) = 51*d - 6*d - 28*d. Calculate p*q(j) + 6*h(j).
-2*j
Let f(m) = 6*m + 2. Let k(p) be the third derivative of -p**4/24 - p**3/6 - 106*p**2. Calculate -f(b) - k(b).
-5*b - 1
Let l(x) = 11*x**2 + 6*x - 5. Let k(w) = -6*w**2 - 3*w + 3. Suppose 71*h = 133*h + 310. What is h*k(o) - 3*l(o)?
-3*o**2 - 3*o
Let i(u) = u. Let x be (-8)/(-4) + (1 - 5). Let l(a) be the first derivative of -a**2 + a - 157. Determine x*i(c) + l(c).
-4*c + 1
Let a be (3 - 2)/((-1)/(-1)). Let v(y) = y**3 + y**2. Let o(u) be the first derivative of 3*u**4/4 + u**3/3 + 67. Determine a*o(n) - v(n).
2*n**3
Let v be (-5)/(-2)*(-48)/(-40). Let l(q) = 11*q**3 + 3*q. Let c(t) = -5*t**3 - 2*t. Determine v*l(i) + 5*c(i).
8*i**3 - i
Let z(j) be the second derivative of -j**5/10 + 5*j**3/6 - 3*j**2/2 + 74*j. Let y(u) = u**3 - 5*u + 2. Determine -3*y(c) - 2*z(c).
c**3 + 5*c
Let f(i) = -i**2 + i. Let t = 219/422 - 4/211. Let v(z) be the second derivative of -1/2*z**2 + t*z**4 + 3*z - 1/2*z**3 + 0. Give 5*f(w) + v(w).
w**2 + 2*w - 1
Let b(l) = 30*l**2 + 42*l - 5. Let f(y) = -46*y**2 - 64*y + 8. Determine -8*b(c) - 5*f(c).
-10*c**2 - 16*c
Let s(f) = -415*f**3 + 4*f**2 + 4*f + 4. Let k(q) = -413*q**3 + 3*q**2 + 3*q + 3. Calculate 4*k(c) - 3*s(c).
-407*c**3
Let g(v) = 1 - 18*v - 6*v + 25*v. Let m(y) = -2*y - 4. Let n be (48/6)/(1 + 1). Suppose -4*f + 16 = 4*q, n*f - 6 - 17 = 3*q. Determine q*m(r) - 4*g(r).
-2*r
Let q(k) = 43*k**2 - 2*k + 3. Let s(u) = -42*u**2 + u - 2. What is 3*q(p) + 4*s(p)?
-39*p**2 - 2*p + 1
Let o(a) = a - 2. Let k(r) = -2*r + 3 - 1 - 3 + 6. Suppose -6*h = -3*h + 3*d + 21, 5 = -5*d. What is h*k(m) - 15*o(m)?
-3*m
Let d(m) = 67*m**3 + 6*m**2 + 6*m + 6. Let n(g) = 133*g**3 + 13*g**2 + 13*g + 13. Determine 13*d(y) - 6*n(y).
73*y**3
Let i(u) = 175*u - 115. Let h(l) = 22*l - 14. Calculate 25*h(v) - 3*i(v).
25*v - 5
Let k(h) = -40*h + 70. Let u(z) = -14*z + 23. Calculate 6*k(y) - 17*u(y).
-2*y + 29
Let s(p) = 2*p + 12. Let g(d) = d + 1. What is -6*g(q) + s(q)?
-4*q + 6
Let t(d) = d**2. Let c(g) = 592*g**2. What is -c(y) + 444*t(y)?
-148*y**2
Suppose 22 = t + 19. Let c(f) = -3 + t - 2*f - 4 + 5*f. Let s(x) = -x + 1. Determine c(a) + 5*s(a).
-2*a + 1
Let p(c) be the third derivative of 3*c**6/40 + c**5/20 - c**4/8 - c**3/2 + 7*c**2 - 4. Let u(i) = 9*i**3 + 4*i**2 - 4*i - 4. Give -4*p(m) + 3*u(m).
-9*m**3
Let x(s) = -s - 1. Let h(a) = -a - 5. Let v(z) = 15*z + 81. Let d(k) = -33*h(k) - 2*v(k). Let o = 7 - 6. Determine o*x(t) + d(t).
2*t + 2
Let q(r) = -r**3 + 5*r**2 - 7*r - 38. Let m(u) = -u**3 + 3*u**2 - 5*u - 25. Give 7*m(g) - 5*q(g).
-2*g**3 - 4*g**2 + 15
Let s(t) = 3146*t. Let d(l) = 85*l. Give -110*d(a) + 3*s(a).
88*a
Let l(a) = -1. Let r(g) = -4 - 9*g**3 + 8*g**3 + 2 + 5*g**3 + 2*g**2. What is -2*l(q) + r(q)?
4*q**3 + 2*q**2
Let g(j) = -3 + 3 - 7*j - 6 - 2*j. Let d(l) = 13*l + 9. Let x(i) = -5*d(i) - 7*g(i). Let y(b) = -b - 2. Determine 4*x(z) - 7*y(z).
-z + 2
Let j(g) = -18*g**2 + 53*g + 15. Let y(k) = 9*k**2 - 27*k - 7. What is 6*j(z) + 13*y(z)?
9*z**2 - 33*z - 1
Let p(h) = -2*h**2 + 2*h + 88. Let x(l) = -4*l**2 + 4*l + 175. Give -11*p(k) + 6*x(k).
-2*k**2 + 2*k + 82
Let x be (5 + -6)/(2/22). Let w(y) = y - 5. Let f(a) = -9*a**2 + 9*a - 19. Let m(s) = -f(s) + 3*w(s). Let l(p) = 17*p**2 - 11*p + 7. What is x*m(k) + 6*l(k)?
3*k**2 - 2
Let g(u) = 9*u**2 - 4*u + 7. Let b = 9 - 7. Let a(t) be the third derivative of -t**5/15 + t**4/12 - t**3/2 + 8*t**2. What is b*g(h) + 5*a(h)?
-2*h**2 + 2*h - 1
Let z(j) = 4*j + 3*j**3 + 2*j**2 - 2*j**2 - 5. Let w(c) = 246 + 253 - c - 498. Calculate -4*w(u) - z(u).
-3*u**3 + 1
Let l(f) = -5*f**3 - 467*f**2 + 4*f - 8. Let z(i) = -6*i**3 - 466*i**2 + 5*i - 10. Give -5*l(g) + 4*z(g).
g**3 + 471*g**2
Let p(b) be the second derivative of -b**3/2 + 3*b**2/2 + 4*b. Suppose -c = c. Let x(v) = c*v + 0*v - 4*v + 4. Determine 5*p(d) - 4*x(d).
d - 1
Let j(g) = -4*g**3 + 3*g**2 + 7*g - 1. Let o(b) = -3*b**2 + 54*b**3 + 1 - 102*b**3 + 2*b**2 + 49*b**3 - b. What is j(v) + 3*o(v)?
-v**3 + 4*v + 2
Let g(m) = 2*m**2 + 8*m - 4. Suppose 16 = 4*n, -4*c - 14 + 2 = 3*n. Let h(k) = -k + 1. Suppose 6 = -2*r - 2*j, 3*r = 4*j - 4 + 9. What is c*h(f) + r*g(f)?
-2*f**2 - 2*f - 2
Let j(w) = 6*w**2 - 11*w. Let y(u) be the first derivative of -u**3/3 + u**2 - 1. Suppose 2*s - 3*p = -27, -3*s - 2*p - 14 = s. Calculate s*j(q) - 33*y(q).
-3*q**2
Let h(m) = -m**3 - 4*m**2 + 4*m. Let i(t) = 4*t**2 - 42*t + 25. Let x be i(10). Let n(o) = o**3 + 5*o**2 - 5*o. Give x*h(j) + 4*n(j).
-j**3
Let x(u) = -u + 1. Let a(g) = 4*g - 123. Determine a(f) + 3*x(f).
f - 120
Let f(q) = q**3 + 16*q**2 - 130*q + 47. Let j be f(-22). Let r(p) = 12*p**3 - 5*p**2 - 4*p. Let w(g) = -6*g**3 + 3*g**2 + 2*g. Determine j*r(l) + 5*w(l).
6*l**3 - 2*l
Let i(f) = 1702*f - 6. Let x(h) = 3094232*h - 10907
|
{
"pile_set_name": "DM Mathematics"
}
|
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