uppose -4*u = 2*q - 42, -4*u + 4*q + 12 = -0*u. What is the remainder when 9/2*(1 + u + 53) is divided by 36?
27
Suppose -f - 7 = 2*m, 0*f + 5*m + 13 = -4*f. Let u(b) = -3*b**2 + 6*b + 5. Let h be u(f). Let q = h - -82. What is the remainder when q is divided by 16?
14
Let h = -253 - -129. Let q = -112 - h. What is the remainder when q is divided by 7?
5
Let l = -51 + 108. Suppose 41 - 329 = -18*r. Calculate the remainder when l is divided by r.
9
Let z be 14*((-14)/4)/7. Let r be 6/(-210)*z - 18/(-10). Suppose 0*d - s - 71 = -r*d, 4*s = 5*d - 179. Calculate the remainder when d is divided by 20.
15
Suppose 6*v + 6*v - 368 = 10*v. What is the remainder when v is divided by 26?
2
Let w be 4/((9/225)/((-3)/(-15))). Suppose -w = -11*f + 1509. What is the remainder when f is divided by 43?
10
Suppose 27*y - 3891 = 3804. What is the remainder when y is divided by 60?
45
Let x = -320 + 834. Suppose -4*s - x + 638 = 0. Calculate the remainder when s is divided by 12.
7
Let r = 19 + -21. Let g(x) be the second derivative of -5*x**3/2 - 5*x**2/2 + 7*x. What is the remainder when g(r) is divided by 6?
1
Let z(y) = -y**3 + 43*y**2 + 9*y - 1142. Calculate the remainder when z(42) is divided by 492.
16
Let g = 5708 - 5691. Calculate the remainder when 241 is divided by g.
3
Let b(r) = -r + 19. Suppose -2*y + 15 = -3*y + 5*f, -4*y = 3*f - 32. What is the remainder when 69 is divided by b(y)?
13
Let f(v) = -173*v - 139. Suppose -l = -4*w + 1, w + 41 = -l + 5*l. Calculate the remainder when f(-1) is divided by l.
1
Suppose 4679 = -20*p + 1921 + 103518. What is the remainder when p is divided by 12?
10
Let n(r) = -4581*r + 40. Calculate the remainder when n(-2) is divided by 118.
116
Let q(f) = 6*f**2 - 412*f - 824. What is the remainder when 965 is divided by q(-2)?
5
Let t(z) be the second derivative of -z**5/20 + z**4/3 + 2*z**3/3 - z**2 + 4*z. Calculate the remainder when (-5 + 6)/((-4)/(-164)) - 2 is divided by t(4).
11
Let w be 2/(-3*1/(-33)). Let q be 40/w - (4 - (-92)/(-22)). Suppose -q*j - 16 = -6*j. What is the remainder when 7 is divided by j?
3
Let w be (95 + 5)*6/15. Calculate the remainder when w/(-6)*45/(-10) is divided by (102/(-119))/(1/(-21)).
12
Let v be (2 - 9)*4/(-28) - -1. Suppose -v*b - t = -104, -3*b + 4*t + 72 + 62 = 0. Calculate the remainder when 247 is divided by b.
47
Suppose -4284 = -379*l + 141*l. What is the remainder when 628 is divided by l?
16
Let b = 3366 + -3260. What is the remainder when b is divided by 18?
16
Let l = 3627 - 3597. Let a(t) = 180*t**2 + 2*t + 1. Calculate the remainder when a(-1) is divided by l.
29
Let v(r) = 274*r**2 - 5*r + 1. Let d be v(-1). Let n = d + -261. What is the remainder when 131 is divided by n?
17
Let k(i) = -i**3 - i**2 + 2*i + 5. Let a = -16 - -16. Let d be k(a). Suppose 3*r - 34 = -o, -r = d*o - 2*o - 22. What is the remainder when 108 is divided by r?
8
Let l = -127 - -190. Suppose 4*y - 18 = -5*f - 8, -4*f + 8 = 4*y. Suppose -l = -p - f. What is the remainder when p is divided by 21?
19
Let q = -3687 + 4336. Calculate the remainder when q is divided by 210.
19
Let j = -10 - -42. Suppose 5*a = -o + 533, 5*o + 314*a = 319*a + 2725. What is the remainder when o is divided by j?
31
Let l(d) = -17*d + 46. Let v be l(14). Let c = 204 + v. Let k(r) = 8*r - 2. What is the remainder when k(3) is divided by c?
10
Suppose -665 = 355*z - 362*z. Calculate the remainder when 373 is divided by z.
88
Let x(b) = -27*b + 91. Suppose -15*n = 147 + 18. Calculate the remainder when x(n) is divided by 49.
45
Calculate the remainder when 235 is divided by 352*(-11 - (-630)/56).
59
Let g be 10/15 + (-85)/15. Let x(t) = t**3 + 4*t**2 - 6*t - 5. Let r be x(g). Suppose -h + 2*h - 41 = r. Calculate the remainder when h is divided by 14.
13
Let y = 9783 + -9742. What is the remainder when 55 is divided by y?
14
Let p = -33801 + 33823. What is the remainder when 2279 is divided by p?
13
Let z be 4/12*435/5. Suppose -89 = -z*y + 1013. What is the remainder when y is divided by 8?
6
Suppose 5*h - 20 = -0*h - i, 0 = i. Suppose 14 = 3*p + h*p. Suppose z = 0, -p*k = -3*k - 3*z + 33. Calculate the remainder when 95 is divided by k.
29
Let j = 60 - 77. Let i = -26 - j. What is the remainder when ((-126)/3)/(4 - (-39)/i) is divided by 32?
30
Calculate the remainder when (286659/324)/((-2)/(-16)) is divided by 120.
118
Let o(r) = -r**3 - 6*r**2 - r + 23. Suppose 3*n + 3*y - 51 = 0, 9*y + 12 = 6*y. Calculate the remainder when o(-7) is divided by n.
16
Suppose -3*y = -34 - 50. Let d(r) = -4*r**3 - r**2 - 2*r - 1. Let f be (0 - -2)/(-11 + 9). What is the remainder when y is divided by d(f)?
0
Suppose -4*c + 240 = 2*l + 2*l, -4*c = -5*l - 285. Let f = 179 - 194. Calculate the remainder when c is divided by (-1350)/(-80) + (f/8 - -2).
14
Let b = -391 + 228. Let s = -124 - b. Let c(z) = -5*z - 4. Calculate the remainder when s is divided by c(-5).
18
Suppose 20 = 2*r + 3*g, -4*r + 5*g + 25 = 29. Let z = 304 - 214. What is the remainder when z is divided by r?
2
Let h(a) = -11*a + 6. Let q be h(-7). Let d = q + -61. Suppose -p = -2*p + 4*n, 2*n = -5*p + d. What is the remainder when p is divided by 3?
1
Suppose -5*q + 22 + 18 = 0. Let l(o) = 105*o - 1. Let i be l(1). Suppose -2*v = b - 143, -2*b - i = 5*v - 460. Calculate the remainder when v is divided by q.
6
Suppose 0 = -z + 4*o + 530, 1335*z + 2*o + 1560 = 1338*z. Calculate the remainder when z is divided by 8.
6
Let c(v) = 2*v**3 - 14*v**2 + 14*v + 3. Let o(m) = -17*m - 4*m - 6*m. What is the remainder when o(-1) is divided by c(6)?
12
Let w(i) = i**2 - 7*i + 4. Let d(j) = 71*j + 1. Let y be d(-1). Let q be (-476)/y + (-1)/(-5). Calculate the remainder when 9 is divided by w(q).
1
Let q(j) = 247*j**2 + j + 1. Let p = 14 - 7. What is the remainder when q(-1) is divided by 7884/252 + (6/p)/(-3)?
30
Let i = 31586 + -30322. Calculate the remainder when i is divided by 200.
64
Suppose 0 = 9*w + 3782 - 1100. Let m = -219 - w. Calculate the remainder when m is divided by 29.
21
Suppose -5*m - 30 = 5*d, 4*m + 18 = -d - 0*d. Let r be ((-30)/35)/(d/266). Suppose -2*k + r - 50 = 0. What is the remainder when k is divided by 12?
8
Let i(t) = -4*t - 3. Let b be i(-4). Let c = b - 8. Suppose -c*f + 95 = -90. What is the remainder when 72 is divided by f?
35
Suppose -j - 2*s - 2776 = -5*j, -5*s - 3475 = -5*j. What is the remainder when j is divided by 170?
13
Let n be (0 + 5)*3916/55. Suppose c + 214 = 5*r, -2*c - n = -5*r - 138. Calculate the remainder when 121 is divided by r.
37
Let l(t) = 4*t**2 - 9*t - 30. Let a be l(-5). Suppose 104*z + 55 = a*z. What is the remainder when 9 is divided by z?
4
Let k be (198/(-42) - -5) + 159/7. Suppose 32 = 5*m + 2. Let c = k + m. What is the remainder when 57 is divided by c?
28
Calculate the remainder when ((-12)/24 - 150/(-252)) + 5689/21 is divided by 41.
25
Suppose 38*b - 120 = 18*b. Suppose 16 - 3 = -2*k + 5*l, -15 = -3*l. Let r(n) = 5*n - 21. Calculate the remainder when r(k) is divided by b.
3
Suppose 4*b = 45 - 21. Suppose 0 = 32*p + b*p - 10526. What is the remainder when p is divided by 10?
7
Suppose -4047 = -33*i + 2989 + 4085. What is the remainder when i is divided by 176?
161
Let u(w) = -w**3 + 20*w**2 - 5*w + 15. Let v be u(18). Suppose -12*q + v = -27. Calculate the remainder when 135 is divided by q.
35
Let i(k) = 9 - 2 + 5*k + 3*k - 47*k**2 + 48*k**2. Let z be i(-3). Let m(l) = 3*l**2 + 2*l - 24. What is the remainder when m(z) is divided by 31?
28
Let z(f) = 99*f**2 - 203*f**2 + 104*f**2 + 28*f**3. What is the remainder when 223 is divided by z(1)?
27
Let x(p) = -101*p + 150. What is the remainder when x(-8) is divided by 30?
28
Let z = -6 + 31. Suppose -5*b + 10 = z. Calculate the remainder when ((-220)/(-33))/((-1)/b) is divided by 7.
6
Let w(d) = -2*d**3 + 310*d**2 - 301*d - 914. What is the remainder when 321 is divided by w(154)?
157
Suppose u + 405*l - 139 = 401*l, 0 = -4*u - 2*l + 598. What is the remainder when 285 is divided by u?
134
Let w = -324 - -344. What is the remainder when (987/(-12))/((-5)/w) is divided by 37?
33
Suppose 12 = -4*y + 108. Let d = 84 - 68. Suppose -d*m + 718 = -1570. What is the remainder when m is divided by y?
23
Let o = -2569 - -2259. What is the remainder when 7/(0 + 2/8) is divided by ((