ppose -12*c = -142 + 70. What is the remainder when 53 is divided by -1 - -45 - (-2 + c)?
13
Let v(o) = -3*o**2 - 29*o + 1. Let i be v(-9). Let p(j) = j**2 - 21*j + 80. Calculate the remainder when 124 is divided by p(i).
40
Let x = 164 + -161. Suppose x*t - 294 = 120. Calculate the remainder when t is divided by 1/(-4) + 282/8.
33
Suppose -3*v - 141 = -3*s, 5*s - 137 = 2*v + 113. What is the remainder when 120 is divided by s?
16
What is the remainder when 2343 is divided by (-15)/(-35) - (146248/(-252) + 2/(-9))?
19
Let i = 15373 + -14713. Calculate the remainder when i is divided by 7.
2
Suppose 3*g - 932 = -5*h + 272, -2*g - 3*h + 804 = 0. Let c = g + -373. Calculate the remainder when c is divided by 13.
9
Suppose -3*t + 3 = 0, 2*t = 5*f + 7*t - 110. Suppose f*m - 2750 = -m. What is the remainder when m is divided by 14?
13
Let a(t) = 14*t - 48. Let f be a(5). Suppose -f*y - 1890 = -29*y. Calculate the remainder when y is divided by 34.
32
What is the remainder when 93 is divided by (4/(-30)*-5)/(2/96)?
29
Let l(s) = -s**3 - 3*s**2 + 8*s + 56. Let a be l(-8). Let n = a - 270. What is the remainder when 249 is divided by n?
39
Suppose -25 = -12*u + 59. Suppose -613 - 1480 = -u*w. Calculate the remainder when w is divided by 43.
41
Suppose 0 = 5*u + 6*l - 4803, 2874 = -19*u + 22*u + l. Calculate the remainder when u is divided by 192.
189
Let o(y) = -12*y + 4. Suppose -2*v = -4*v - 2, -z + 1 = -5*v. Suppose -184*c = -37*c - 2058. What is the remainder when o(z) is divided by c?
10
Suppose 0 = -2*l + i + 268, -679 = -272*l + 267*l + 4*i. Calculate the remainder when 1837 is divided by l.
3
Let o be 4/14 + (-565)/(-7). Let r = o - 69. Suppose -41 - 72 = -5*t + q, 6 = -2*q. Calculate the remainder when t is divided by r.
10
Suppose -8*l + 70 = -6*l. Suppose -6*k = -l - 49. Calculate the remainder when 107 is divided by k.
9
Let v = 7 - 3. Suppose s + 51 = v*s. Let l = 7629 + -7620. What is the remainder when s is divided by l?
8
Let a be 5/3*(1 + 2). Suppose -a*f - 254 - 146 = 0. What is the remainder when 15 is divided by (f/60)/((-4)/9)?
0
Let n be (76 - 0)/((-1)/4*-1). Let d = n + -196. What is the remainder when d is divided by 22?
20
Suppose 1033 - 1235 = 211*q - 3789. Calculate the remainder when 25854 is divided by q.
14
Suppose 43*h - 3115 = 40*h - 5*t, h + 3*t - 1049 = 0. What is the remainder when h is divided by 9?
8
Let x(z) = 13*z + 2. Suppose -375 = 30*n - 5*n. Let d = 65 - n. What is the remainder when d is divided by x(2)?
24
Suppose 7*v = 5*v - 3*z + 118, 2*v - 3*z - 118 = 0. Suppose 3*t = -2*t + 185. Let u = v - t. What is the remainder when 129 is divided by u?
19
Let x(f) = -8*f. Let m(a) = 28*a**2 + 14*a + 11. What is the remainder when m(-1) is divided by x(-2)?
9
Let b = 273 - 288. Let u = 47 - b. Calculate the remainder when u is divided by 17.
11
Let u = 192 - 135. Let x(z) = 4*z - 9*z**2 + 21*z**2 - 52 + u. What is the remainder when x(-2) is divided by 12?
9
Let y(c) = 3*c + 6. Let x be y(1). Let b be -3*(-4 - (-111)/x). What is the remainder when (8/5)/(-2)*b is divided by 11?
9
Suppose 4*s = -2*s + 288. Let b = s + -39. Let q(f) = 7*f - 49. What is the remainder when 23 is divided by q(b)?
9
Let a(n) = 5*n**2 - 16*n + 60. Let x be a(9). Let v = 338 - x. Calculate the remainder when 40 is divided by v.
6
Suppose 0 = -32*x + 42*x - 1590. What is the remainder when 377 is divided by x?
59
Let j(a) = -40*a - 381. What is the remainder when 890 is divided by j(-10)?
16
Suppose 5769 = 15*v - 1461. Calculate the remainder when v is divided by 120.
2
Let d(v) = 13*v**3 + 2*v**2 + 6*v - 14. What is the remainder when 215 is divided by d(2)?
105
Suppose 66*u - 231*u + 318 = -177. Calculate the remainder when 33 is divided by u.
0
Suppose 4*b = -8, -4*u - 4*b - 7 = -11. Let f(p) = 55*p + 34. What is the remainder when f(u) is divided by 46?
15
Let j = 11111 + -10741. Calculate the remainder when j is divided by 130.
110
Let l = -22764 - -22779. What is the remainder when 4933 is divided by l?
13
Let y = 86 - 77. Suppose 0 = -7*v + 112 + 182. Calculate the remainder when v is divided by y.
6
Let x be 0 + 0/(3 - -2). Let m be (-6)/(-4)*(-6*7 + x). Let z = m - -96. Calculate the remainder when z is divided by 18.
15
Let n = 17815 - 16331. What is the remainder when n is divided by 70?
14
Suppose 4*f = -4*y + 1940, -5*f + 2*y + 288 = -2137. What is the remainder when f is divided by 67?
16
Suppose -48*b = 789 - 69. Suppose -5*d = -7 - 3, 0 = -4*l - 2*d - 16. What is the remainder when 18 - b/l - -3 is divided by 7?
4
Calculate the remainder when 916 is divided by 2090/209 - (2 + -48).
20
Let d = 7025 - 6928. Let q(w) = 2*w + 19. What is the remainder when d is divided by q(-5)?
7
Suppose 25*a - g = 27*a - 782, -3*a = -g - 1178. What is the remainder when a is divided by 218?
174
Let x(n) = -n**2 + 20*n - 84. Suppose m + h + 64 = 68, 0 = -m + h + 10. What is the remainder when 52 is divided by x(m)?
3
Suppose -4896 = -168*y + 96*y. What is the remainder when 400 is divided by y?
60
Suppose -4*h - x = -1336, -5*h - 16*x + 1624 = -9*x. What is the remainder when h is divided by 13?
11
Suppose 0 = -5*d + 1617*j - 1618*j + 822, -3*d = -j - 482. Let k(n) = -n**3 + 2*n**2 + 4*n + 2. Calculate the remainder when d is divided by k(-4).
81
Let g(p) = 26*p - 131. Suppose 56 + 14 = 10*f. What is the remainder when g(f) is divided by 42?
9
Let y = 534 + -362. Suppose 4*v = 2*o + 2*o + 136, -5*v + y = -4*o. What is the remainder when v is divided by (-2)/3*63/(-6)?
1
Let a(l) = -3*l**2 + 226*l + 414. Calculate the remainder when 1 + (-1)/((-1)/109) is divided by a(77).
23
Let p = 56 - 49. Suppose -p*a = -6*a - 11. Suppose -a*y - y + 552 = 0. Calculate the remainder when 182 is divided by y.
44
What is the remainder when 4980 is divided by (2490/150 + -15)/((-2)/(-70))?
52
Let c = 1157 - 1050. What is the remainder when 5240 is divided by c?
104
Let v = 2941 + -2710. Calculate the remainder when v is divided by 3.
0
Suppose 381*h - 6390 = 363*h. What is the remainder when h is divided by 11?
3
Let z = -1855 - -1905. What is the remainder when 548 is divided by z?
48
Let c be 1/(-2*2) + 193/4. Calculate the remainder when 76/6 - 32/c is divided by 5.
2
Let y be (51/6)/((-2)/4). Suppose -v - 2*l + 2 = -3*v, 3*v = -5*l - 11. Let f = v - y. What is the remainder when 72 is divided by f?
12
Let m(j) = j**3 - 9*j**2 + 9*j. Let i be m(8). Let g(a) = -a**2 + 19*a - 16. What is the remainder when g(i) is divided by 27?
18
Let u = 237 - 237. Suppose -4*g + 7*g - 5*h - 148 = u, h - 4 = 0. Calculate the remainder when g is divided by 23.
10
Suppose 0 = 4*n - n - 5*c - 292, 3*n = -3*c + 324. Let v = n + -87. What is the remainder when 56 is divided by v?
5
Let z(u) = -53*u**2 + u**3 + 36 + 35*u - 52*u**2 + 69*u**2. Calculate the remainder when 171 is divided by z(35).
27
Let u = 73 - 54. Let t(y) = 3*y**2 - 55*y - 19. Calculate the remainder when 51 is divided by t(u).
13
Let w(i) = i**3 + 6*i**2 - 12*i + 111. Calculate the remainder when 277 is divided by w(-8).
40
Let c = 5815 + -5186. What is the remainder when c is divided by 307?
15
Suppose 300*t - 44 = 296*t. Calculate the remainder when 180 - (t - 7 - 6/2) is divided by 30.
29
Suppose 3*n + s = 1361, -5*n = 4*s - 3940 + 1667. Let a = -13 - -89. Calculate the remainder when n is divided by a.
73
Let w(a) = 2*a**2 - a - 2. Let i be w(-3). Suppose 0 = -4*y + 45 + i. What is the remainder when 31 is divided by y?
15
Suppose o + 2 = 0, -o = -3*p - 0*p + 485. Suppose 18*v - p = 127. Calculate the remainder when 125 is divided by v.
13
Suppose 0 = 3*a + 3*u, -a - 5*u - 24 = -8. Suppose -48 = -a*i - 7*w + 10*w, 0 = i - 4*w + 1. Let z = -6 - -35. What is the remainder when z is divided by i?
14
Let x = -100 + 353. Suppose 10*d - 77 - x = 0. Calculate the remainder when (-372)/(-8)*(3 - 1) is divided by d.
27
Let t(d) = -7*d - 1. Suppose -5*l = -5*n - 2*l - 16, 2*n = -l - 2. Calculate the remainder when 1*-13*(-74)/13 is divided by t(n).
9
Let h = 3 + -12. Let z be h/(-3) + (-2)/2. Suppose 3*r - 84 = -r - 4*m, 5*r = z*m + 119. What is the remainder when 89 is divided by r?
20
Suppose -m + 37 = -2*q, 57*m - 55*m + 3*q = 95. Calculate the remainder when 1246 is divided by m.
42
Suppose -5*p - 39 = -7*p - 3*