3*b, -196*h = -198*h - 2*b + 30. What is the remainder when (-3)/12 + 1282/8 is divided by h?
7
Suppose -2*u = -2*r - 38, -95*u - 6*r - 14 = -97*u. What is the remainder when u is divided by 1/((3/(-27))/(-1))?
7
Let n(z) = -z**3 + 28*z**2 - 69*z - 146. What is the remainder when 2683 is divided by n(25)?
3
Let n(h) = 6*h. Suppose 4*i + 6 = i, -i - 3 = k. Let t be n(k). Calculate the remainder when 46/t*(-5 - (-1 - -5)) is divided by 18.
15
Suppose -2*k - 110 = -2*s - 5*k, -5*s = -5*k - 225. Let v = 1705 - 1703. Calculate the remainder when s is divided by v.
1
Let k = 14262 - 13840. What is the remainder when k is divided by 153?
116
Suppose -483 = -4*y + 3*a, -55*a - 5 = -50*a. Calculate the remainder when y is divided by 31.
27
Let u be (-4 - (-46)/9)*9. Suppose 4*h + h - u = 0. Suppose h*z = -3*g + 5*z + 51, -4*z - 42 = -2*g. What is the remainder when 36 is divided by g?
10
Suppose -130 = -26*n + 26. What is the remainder when 291 - (-6 + (n - -5)) is divided by 12?
10
Let p = -27 + 149. Let u = -108 + p. What is the remainder when 26 is divided by u?
12
Suppose 4*i - 4*d - 184 = 0, 4*d + 15 = -5. Suppose -4*k - 30 = 2*c, 7*c + 140 = 2*c + 3*k. What is the remainder when (-3 - -18)*(-135)/c is divided by i?
40
Let j be (0 + -1)*(4 - 7). Suppose -j = d - 6. Suppose -d*c - 54 = -5*u + 37, -2*u + c + 36 = 0. What is the remainder when 130 is divided by u?
11
Let w = 4908 + -3662. What is the remainder when w is divided by 48?
46
Suppose 20*k + 748 = u + 16*k, 2*k = 2*u - 1508. What is the remainder when u is divided by 23?
20
Suppose 3*c - 138 = 3*w, -4*c + 0*w - 3*w + 177 = 0. Let r(g) = g**2 + 112*g - 1345. Calculate the remainder when c is divided by r(11).
5
Let z be 1347*6/(-18) + 8. Let k = -397 - z. Calculate the remainder when k is divided by 14.
2
Let k = 11059 - 11014. Calculate the remainder when 5082 is divided by k.
42
What is the remainder when (103350/21)/10 - 3/21 is divided by 19?
17
Suppose 3*u - 2*l - 742 = 177, 934 = 3*u - 5*l. Let b = u - 166. Calculate the remainder when b is divided by 47.
43
Let p = 49 - 16. What is the remainder when 9 - -6 - (-13 + -103 + 24) is divided by p?
8
Let k = 80 + -14. Let r(p) = 3*p - 18. Let y be r(-9). Let x = k + y. Calculate the remainder when 81 is divided by x.
18
Calculate the remainder when 3/(-42) - (11343/42)/(-1) is divided by 11.
6
Let b(q) = q**3 + 24*q**2 - q - 3. Let k = 228 - 217. What is the remainder when b(-24) is divided by k?
10
Let r(k) = k**3 - 11*k**2 - 11*k - 8. Let o be r(12). Suppose -4*w + 126 = -w + 2*p, 3*p + 185 = o*w. Calculate the remainder when w is divided by 28.
16
What is the remainder when 71 is divided by (15/24)/(12/960)?
21
Suppose 198*p - 1587 = 387*p - 212*p. What is the remainder when 627 is divided by p?
6
Let l(g) = 20*g**2 + 13*g - 2. What is the remainder when 818 is divided by l(-2)?
38
What is the remainder when (39/(-4))/((-1)/4) is divided by ((1/5)/(2/28))/((-2)/(-5))?
4
Let p = -379 - -567. Let x = 193 - p. What is the remainder when 47 is divided by x?
2
Let a(v) = -v**3 - 66*v**2 + 14. Calculate the remainder when 329 is divided by a(-66).
7
Suppose 121*t - 4012 = 87*t. Calculate the remainder when t is divided by 6.
4
Let o = 134 + -132. Suppose -40 = -4*b + 4*m, -b + o*b - 8 = -m. What is the remainder when 34 is divided by b?
7
Suppose 5*h - 3*k + 1267 = 15972, -4*h = 3*k - 11737. What is the remainder when h is divided by 964?
46
Let q = 5746 + -5587. What is the remainder when 23370 is divided by q?
156
Let o = 7218 - 6712. Calculate the remainder when o is divided by 151.
53
Let h be (1/2)/((-6)/(-1284)). Suppose h + 21 = 16*a. What is the remainder when a is divided by 3?
2
Let x = 340 - 541. Let k = x - -119. Let z = -64 - k. What is the remainder when 36 is divided by z?
0
Suppose 3162 = 45*u + 48*u. Calculate the remainder when 58 is divided by u.
24
What is the remainder when (31 - 299)*(-4 - 4) is divided by 86?
80
Let p = -1720 + 1743. Let o(d) = -9*d**3 - 3*d**2 - 3*d - 1. Let n be o(-2). Calculate the remainder when (n - -2) + (-5 - -2) is divided by p.
18
Suppose -2*g + 793 = v, 114*v + 5*g + 807 = 115*v. Calculate the remainder when v is divided by 41.
18
Suppose 17*x = 2*x - 90. Calculate the remainder when 2/3*(465/(-2))/(-5) is divided by (-38)/x*(-7 - -10).
12
Suppose -n = -3*n + 4. Suppose -45 = -b - n*m + 6*m, -2*m = 5*b - 335. What is the remainder when b is divided by 33?
32
Suppose -8*h + 749 = -7*h. Let i = -436 + h. Suppose i = 3*b - n - 96, -3*n = -4*b + 552. Calculate the remainder when b is divided by 34.
33
Let v be -2 - (-3 + 3) - -4. Let z = 284 + -284. Suppose -5*q - v*l + 105 = z, 5*q - 7*l + 4*l = 130. Calculate the remainder when 44 is divided by q.
21
Suppose -64*p + 10416 + 2192 = 0. Let i(y) = y**3 - 2*y - 1. Let q be i(2). Let r = 28 - q. Calculate the remainder when p is divided by r.
22
Let o(i) = i**3 - 11*i**2 + 10*i + 5. Let w be o(10). Suppose 0 = -8*m + w*m + 609. Suppose 4*r - 5 - m = 0. Calculate the remainder when 310 is divided by r.
50
Let v(m) = m**2 + 90*m - 724. What is the remainder when 343 is divided by v(8)?
43
Let x = 525 + -461. Suppose -79*o + x*o = -825. Calculate the remainder when o is divided by 12.
7
Let g = 12224 + -12196. What is the remainder when 1144 is divided by g?
24
Suppose 0 = 3*k + 2*c - 22, -5*c = -4 - 21. Suppose -h = -1, k*i + h = 4*h + 981. Calculate the remainder when i is divided by 31.
29
Let i = 477 - 456. Suppose 14*c = i*c - 1372. Calculate the remainder when c is divided by 29.
22
Let s = 14 - -3. Let n be (4/(-6))/(-2*(-5)/(-60)). Let g(l) = l**3 + 8*l + 3. What is the remainder when g(n) is divided by s?
14
Let o(u) = -u**3 + u**2 + 7*u + 10. Let c be o(-3). Suppose 34*v = c*v + 576. What is the remainder when 191 is divided by v?
63
Suppose -5*c + 4*u + 73 = 84, -5*u + 15 = -5*c. Calculate the remainder when 1 is divided by c.
0
Let d(i) = -8*i + 181. Let w(p) = 46*p - 6. What is the remainder when w(6) is divided by d(20)?
18
Let z = -1730 + 1102. Let s = z + 631. Calculate the remainder when 52 is divided by s.
1
Calculate the remainder when 10130 - ((-1)/5)/((-15)/((-6525)/(-29))) is divided by 48.
47
Let b = 2582 - 2534. Calculate the remainder when 1341 is divided by b.
45
Let w = -84 - -157. Suppose 2*p - 3*d = -2*p + 40, -5*p = 2*d - w. What is the remainder when 49 is divided by p?
10
Let c = -12360 - -12532. Calculate the remainder when c is divided by 95.
77
Suppose -i = -5*i + 144. Let v = i + -22. Suppose 5*u - 3*x + 887 = 920, 4*u - 2*x = 24. Calculate the remainder when v is divided by u.
2
Let k = -4010 - -4154. What is the remainder when 583 is divided by k?
7
Suppose v + 60 = 3*k, -3*v - 46 = -64. What is the remainder when 540 is divided by k?
12
Let t be 0 - 1 - 6/(-12)*2. Suppose t = -23*v + 24*v - l - 261, -2*l + 768 = 3*v. What is the remainder when v is divided by 26?
24
Let w be (-4)/(-1 + -2 + 1). Let b(x) = x**3 - 4*x**2 - w*x + 50*x**3 + 2 + 6*x**2 - 3. What is the remainder when b(1) is divided by 13?
11
Suppose -3*l - 750 = -23*u + 19*u, -u - 5*l = -199. What is the remainder when u is divided by 19?
18
Let v = 8 + -15. What is the remainder when 8/28 - 187/v is divided by (1092/(-351))/((-8)/(-56) + 46/(-126))?
13
Suppose -10 - 15 = 5*i, -2*a + 543 = i. What is the remainder when a is divided by 33?
10
Suppose -2 = -6*h + 5*h. Suppose 0 = h*l - 5*l + 15. Suppose 0 = g + w - 4, -l*g - 2*w + 16 = w. Calculate the remainder when 8 is divided by g.
0
Let p(k) = -35*k + 768. What is the remainder when p(7) is divided by 16?
11
Let p(q) = q**3 - 5*q**2 - 74*q - 11. What is the remainder when p(12) is divided by 2?
1
Suppose 0 = -3*n + 3*v + 45, -3*n = 5*v - 701 + 560. What is the remainder when ((-2)/4)/(1/(-424)) is divided by n?
23
Let a(d) = -d**3 - 17*d**2 - 33*d - 28. Let t be a(-16). Let n = t - 207. Calculate the remainder when 147 is divided by n.
36
Let w(f) = 29*f**2 + 22*f - 545. Calculate the remainder when w(15) is divided by 12.
10
Suppose -2*x + 3*f + 4 = 0, f - 12 = -0*x - 2*x. Suppose 4*d = 20, -x*t - d = 2*d - 125. Let c = 77 - 12. Calculate the remainder when c is divided by t.
21
Let y(d) = d**3 - 15*d**2 - 107*d + 1735. What is the remainder when y(14) is divided by 26 - ((-6)/3 + 4)?
17
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