**2 + 1. Let s be h(2). Let p = s + -51. Calculate the remainder when -1 + p/3 - (-5)/15 is divided by 5.
1
Let j(s) = 7*s**2 + s - 1. Let y be (-2)/7*35/(-10). Calculate the remainder when 46 is divided by j(y).
4
Suppose 6*j = 3*j + 2*i + 329, -5*j - 2*i = -559. Suppose 3*x - 151 = 2. Suppose x = 2*c - 5*p, -2*p + 2 = -0*p. Calculate the remainder when j is divided by c.
27
Let f = 44 + -24. Suppose -1670 = 22*a + 1806. Calculate the remainder when (-1*a/(-4))/(4/(-8)) is divided by f.
19
Let n be (-10 - 0)*(-198)/15. Suppose 7*j = 8*j. Suppose j = 4*v - n. Calculate the remainder when 130 is divided by v.
31
Suppose -52 = -2*r + 3*g, -98*r - 4 = -99*r - 4*g. Let t(h) = h**3 - 5*h**2 + 5*h + 6. What is the remainder when t(6) is divided by r?
12
Suppose -1411*t + 1355*t + 229264 = 0. What is the remainder when t is divided by 6?
2
Let p = -30 - -57. Suppose 189 = b + 3*i, -2*b + 5*i - 749 = -6*b. Calculate the remainder when b is divided by p.
24
Let k(r) = -r**3 + 8*r**2 - 2*r - 4. Let i be k(7). Let s = i - -58. Let j = 23 + -5. Calculate the remainder when s is divided by j.
17
Suppose u = -c + 2088, 140*c - 10412 = 135*c + 2*u. Calculate the remainder when c is divided by 17.
10
Suppose -46*y + 11555 = 147*y - 8517. Calculate the remainder when 635 is divided by y.
11
Let x(h) = -16*h - 9. Let d(r) = r**2 - r. Let b be d(-1). Suppose b = -f - 3. What is the remainder when x(f) is divided by 15?
11
Suppose 3*y - p - 557 = 0, 0 = 2*y - p + 6*p - 343. What is the remainder when y is divided by 63?
58
Suppose 52*f - 36*f = 224. Let z(m) = 4*m**2 - 25*m + 15. Calculate the remainder when z(7) is divided by f.
8
Suppose 2187 + 5566 + 2907 = 52*o. What is the remainder when o is divided by ((4 - 2) + 28)/1?
25
Suppose -l = -3*l + 444. Suppose -m - 2*c = 0, -8*c = m - 3*c + 24. Calculate the remainder when l is divided by m.
14
Let g = -14724 - -14739. Let v = 175 + -123. What is the remainder when v is divided by g?
7
Suppose -52*a = -40*a + 1188. Calculate the remainder when 1079 is divided by (-8)/6 + (-4587)/a.
44
Suppose -1253 = 4*v - f - 1330, 44 = 3*v + 2*f. What is the remainder when 221 is divided by v?
5
Suppose 3*q + 3 + 0 = 0, 5*l + 2*q - 48 = 0. Let p = -25 + l. Let o = 41 - p. Calculate the remainder when o is divided by 15.
11
Let h(f) = f**2 + 12*f - 179. Let b be h(-31). Let v = -325 + b. Calculate the remainder when v is divided by 8.
5
Suppose 0 = 3*k + 21, 3*l + 484 = -5*k + 617. What is the remainder when 1156 is divided by l?
36
Suppose 2*t - 298 = -4*i, 4*i + 4*t - 15 - 301 = 0. Suppose -98 = -2*z + 314. Calculate the remainder when z is divided by i.
66
Let f be (2*-2)/(12/3390). Let n be 2 + f/(-7) + 6/(-14). Let w = 236 - n. Calculate the remainder when w is divided by 21.
10
Suppose 2*f - 5*j + 278 = -114, -3*f - 2*j - 588 = 0. Let i = -184 - f. Calculate the remainder when 59 is divided by i.
11
Let t = 6 - -7. Let c(l) = -9*l - 23. Let j be c(-12). Let n = 186 - j. What is the remainder when n is divided by t?
10
Calculate the remainder when 3328 is divided by (-144 - -145) + (-1)/((-2)/56) - -1.
28
Let u(j) = 2*j**3 - j**2 + 95*j + 5560. Calculate the remainder when u(0) is divided by 54.
52
Suppose 0 = 11*x - 13*x + 40. Suppose 0 = -x*d - 1530 + 4230. What is the remainder when d is divided by 64?
7
Suppose -5*m + 29 - 24 = 3*t, 0 = -4*t - 5*m + 15. What is the remainder when 105 is divided by t?
5
Suppose 156*s - 92*s - 213596 = -70*s. Calculate the remainder when s is divided by 13.
8
Calculate the remainder when 573 is divided by 371/9 - 126/567.
40
Let n = -171 - -71. Let q = n - -100. Suppose q = -o - 2*o + 39. Calculate the remainder when 35 is divided by o.
9
Let t(f) = 2*f**2 + 32*f + 31. Let w be t(-15). Calculate the remainder when 86 is divided by 9*5/w*(-12)/(-30).
14
Suppose -1436 + 1450 = 3*c - s, 5*c + 5*s + 10 = 0. Calculate the remainder when 59 is divided by c.
2
Let i(b) = -b**2 + 42*b - 211. Let d(o) = o**2 + 29*o + 34. Let s be d(-28). Calculate the remainder when i(s) is divided by 2/(-4)*(-3 - -1).
0
Calculate the remainder when 1050 is divided by (-3)/51 - 37149/(-357).
10
Let v(y) = 410*y**2 - 174*y + 173. Calculate the remainder when v(1) is divided by 5.
4
Let x(s) = 14*s - 4. Let t be (-3570)/136*(24 + 0). Let h = 651 + t. What is the remainder when x(3) is divided by h?
17
Suppose 2*d + 2*c = 12, -17*c + 12*c = 3*d - 26. Calculate the remainder when 238 is divided by (d/(-16)*2)/((-24)/1056).
7
Let x = -50 - -79. Suppose -2*o + 3*b + 120 = 0, 0 = -3*o - 50*b + 51*b + 166. Calculate the remainder when o is divided by x.
25
Suppose -40*o - 40*o = 90*o - 78880. What is the remainder when o is divided by 10?
4
Let x = -21 + 41. Let r be (-20)/10 - (-233 - 2). Suppose -5*a = -7*c + 11*c - 394, -r = -3*a + c. What is the remainder when a is divided by x?
18
Let g(b) = b**2 - 1. Let d(p) = -5*p**2 - 15*p - 17. Let h(r) = -d(r) - 6*g(r). Let a = -172 + 188. Calculate the remainder when 32 is divided by h(a).
4
Suppose -38 + 13 = 5*g, 5*m + 2*g - 1170 = 0. Suppose -j + 2*l = -m, 2*j = -2*l + l + 487. Calculate the remainder when j is divided by 82.
78
Let g be 42*2*13/52. Suppose 0 = g*b - 15166 + 3238. Calculate the remainder when b is divided by 15.
13
Suppose 2*s - 5 = 23. Suppose -2*o - 702 = -11*o - 9*o. What is the remainder when o is divided by s?
11
Let d(c) = -c**3 + 20*c**2 + c + 18. Let i be d(20). Let w = i + -36. What is the remainder when 38 is divided by ((-4)/(-12))/(w/90)?
8
Suppose -47 = -3*r + 43. Suppose 0*p - 4*p = 0. Calculate the remainder when 18 is divided by p + 2 + r/(3 - 0).
6
Let n = 569 + 2002. Calculate the remainder when n is divided by 83.
81
Let y(l) be the second derivative of -1/12*l**4 + 0 - 6*l**2 - 17/6*l**3 + 30*l. Calculate the remainder when y(-15) is divided by 7.
4
Let d = -598 - -722. Suppose -d*u - 798 = -145*u. What is the remainder when u is divided by 16?
6
Suppose -2*f + 45 = 5*b + 5, 0 = 3*b - 3*f - 24. What is the remainder when 3639 is divided by b?
7
Suppose -x + 5*c = -927, 5*x + 3*c = 6063 - 1344. Let t = 969 - x. Calculate the remainder when 55 is divided by t.
1
Suppose 3*a = -0*a - 2*h + 331, -10 = -2*h. Let q = 624 - a. Suppose -5*y + y + o + q = 0, 0 = 2*y + 2*o - 246. What is the remainder when y is divided by 33?
29
Suppose 69 = 2*v - 3. Let w = -22 + v. Let u(y) = 12*y - 53. What is the remainder when u(10) is divided by w?
11
Let w = 47 - 13. Let n = 39 - w. What is the remainder when 74 is divided by n/2*(-120)/(-12)?
24
Suppose -5*p - 2*y + 21 = -4*p, 0 = 2*p + 5*y - 40. What is the remainder when 8005/p + (-54)/(-30) is divided by 13?
10
Calculate the remainder when (-14)/(-2) + -3 + (-103875)/(-45)*6 is divided by 396.
390
Calculate the remainder when 712 is divided by (-1 + 3/(-6))/((-678)/(-348) + -2).
16
Calculate the remainder when (-17)/(17/(-5)) + 69 is divided by 9.
2
Let l be ((-636)/(-8))/(3/(-6)). Let f = l + 266. What is the remainder when f is divided by 16?
11
Let d be 1/(1/(-3)*(-21)/(-7)). What is the remainder when 47 is divided by -1 + 396/30 + d/5?
11
Suppose -3*o + 0*o - 3*u + 144 = 0, 2 = 2*u. Suppose -o = 16*x - 17*x. Suppose z - 65 = -4*z. What is the remainder when x is divided by z?
8
Let q(o) = 355*o - 272. Calculate the remainder when q(4) is divided by 5.
3
Calculate the remainder when (-6 - -2)*3/4 + 136 is divided by 45.
43
Let m = 16128 + -16070. Calculate the remainder when 307 is divided by m.
17
Suppose 32*r + 51 = -13. Calculate the remainder when ((-8)/12 - r) + 8519/21 is divided by 41.
38
Let a(q) = 2*q**2 + 380 - 383 - 12*q - q**2. Suppose -4*m - d = 3*d - 100, -m + 3*d = -13. Calculate the remainder when a(-3) is divided by m.
20
Suppose 5*o + 1190 = 5*k, -5*k - 3*o - 84 = -1274. Let q = 331 - k. Calculate the remainder when q is divided by 49.
44
Suppose -1760 = -12*k + 2128. Calculate the remainder when k is divided by ((-52)/6)/((-23)/(483/14)).
12
Let d(f) = 24*f + 3. Let s = -112 + 131. Calculate the remainder when d(s) is divided by 93.
87
Suppose -29*t + 24 = -27*t. Suppose 2*n + 3*n = -3*w + 101, n = w + 17. Calculate the remainder when n is divided by t.
7
Suppose 22*d - 1937 + 5347 = 0. Let h = 370 + d. What is the remainder when h is divided by 18?
17
Let h(p) = -47*p - 1. 