1
Suppose 378*v - 377*v + 5*w - 630 = 0, 0 = w + 3. What is the remainder when v is divided by 162?
159
Let u(j) = -j**3 + 7*j**2 + 49*j - 44. Calculate the remainder when u(6) is divided by 146.
140
Suppose -11*s = -4*s - 42. Suppose -s*i = -0*i - 96. Calculate the remainder when 63 is divided by i.
15
Let w = 58 - 122. Let r be 2431/(-26) + (-4)/8*-3. Let d = w - r. What is the remainder when 54 is divided by d?
26
Suppose 1035 = 179*d - 156*d. Calculate the remainder when 103 is divided by d.
13
Suppose -39*z = 154*z - 290840 + 86260. Calculate the remainder when z is divided by 134.
122
Calculate the remainder when (-12132)/(-2) + (-13620)/681 is divided by 126.
124
Let y(b) = -19 - 9*b - 7*b - 4*b**2 - 6 + 3*b**2. Let x = 65 + 24. Calculate the remainder when x is divided by y(-12).
20
Let y = -15600 - -18011. What is the remainder when y is divided by 36?
35
Let d = 3822 - 3494. Calculate the remainder when d is divided by 88.
64
Suppose -3219 = -3*f - 2*q, 2*f + 9*q = 8*q + 2144. What is the remainder when f is divided by 72?
61
Let t(g) = 14*g + 119. Let b be t(0). Suppose -123*w = -b*w - 188. What is the remainder when w is divided by 29?
18
Suppose 0 = 2*g + 8*y - 790, 5*y - 247 = -3*g + 917. Calculate the remainder when g is divided by 132.
119
Let j = -514 - -247. Let d = j - -278. Calculate the remainder when 29 is divided by d.
7
Let b = 43 + -43. Let r be ((-4 - -3)*b)/2. Calculate the remainder when 32 is divided by -2 - -22 - r/2.
12
Let f(z) = 2*z**3 + 34*z**2 + z + 20. Let a be f(-17). Let h = -23 + 43. Let n = a + h. Calculate the remainder when n is divided by 14.
9
Let p = 27 + -1. Suppose 2*f - 52 = -2*f. Calculate the remainder when (-4)/6 + f*(-22)/(-6) is divided by p.
21
Let n(l) = -l**3 + l**2 - l - 6. Let s be n(3). Calculate the remainder when 41 is divided by 0 + 6 - (-28 - s).
6
Let u = -120 - -132. What is the remainder when (-335)/(-11) - 8 - 12/(-22) is divided by u?
11
Suppose -10*m + 24*m - 56 = 0. Suppose 2*o = 5*u + 8, 2*o - 4*u = m + 8. What is the remainder when 69 is divided by o?
13
Suppose 948 + 752 = 17*l. What is the remainder when 366 is divided by l?
66
Suppose 0 = -106*r + 124*r - 83790. What is the remainder when r is divided by 12?
11
Suppose 297*c + 1527 = 311*c + 155. Calculate the remainder when 444 is divided by c.
52
Suppose 888 = -15*q + 1455 + 1938. Suppose 0 = -5*m + 35 + 70. Calculate the remainder when q is divided by m.
20
Suppose -210*y = -88*y + 120*y - 273460. What is the remainder when y is divided by 56?
10
Let y = 27 + -25. Suppose -m + 28 - y = 0. Let l(f) = -42*f + 1. Calculate the remainder when l(-3) is divided by m.
23
Let y(n) = -7*n + 330. What is the remainder when 146 is divided by y(27)?
5
Suppose -4*z - 4*x = -1112, 2666*z = 2667*z + 2*x - 279. Calculate the remainder when z is divided by 146.
131
Let y(v) = 8*v + 19*v**2 + 5 - 28 - 20*v**2 + 22*v - 51*v. Let w = -3 - 9. What is the remainder when y(w) is divided by 44?
41
Suppose 4*w - 3*b = 524, -19*b + 20*b = -4*w + 524. Calculate the remainder when 921 is divided by w.
4
Suppose -2616 = 5*n - 431. Let h = n - -475. Calculate the remainder when h is divided by 14.
10
What is the remainder when 504 is divided by (19/(-2))/(17/(-106 - -4))?
48
Let j(g) = 1061*g - 6329. What is the remainder when ((-15)/(-10))/(2/140) is divided by j(6)?
31
Let x(b) = -b**3 - 5*b**2 + 4*b + 2. Let y be x(1). Suppose -43 = -5*r - 4*q + 30, y = -5*q + 10. What is the remainder when 21 is divided by r?
8
Let o = -31480 + 32176. Calculate the remainder when o is divided by 60.
36
Suppose 0 = 5*a - 235 - 420. What is the remainder when a is divided by 942/18 + -8 + (-1)/3?
43
Calculate the remainder when (-2266)/(-8) + (-132)/528 is divided by 57.
55
Let q(w) = 2*w**2 + 3*w + 6. Suppose 23 = -2*t - l, 0 = 4*t - 4*l - l + 25. What is the remainder when q(t) is divided by 36?
32
What is the remainder when 3742 is divided by ((-904)/(-113))/(1/6)?
46
Let j = 42 - 19. Suppose 3*o + l - 263 = 0, 245*o = 250*o - 2*l - 464. Calculate the remainder when o is divided by j.
21
Let b = 26 + -17. Suppose 0 = -b*y + 11*y - 8. Suppose -4*n = -y*j - 108, -2*j - 100 = -6*n + 2*n. What is the remainder when 44 is divided by n?
21
Let s(n) = -15*n - 56. Let y be s(-12). Suppose 3*f + q - 48 = 43, -4*f - 2*q = -y. Calculate the remainder when 37 is divided by f.
8
Let k = 10259 - 10071. What is the remainder when k is divided by 127?
61
Let n(q) = q**2 + 9*q - 90. What is the remainder when 1562 is divided by n(-17)?
44
Let f = -175 - 121. Let d = f - -429. What is the remainder when d is divided by 18?
7
Let l = -210 + 199. Let b = l - -66. Calculate the remainder when b is divided by 31.
24
Calculate the remainder when 556 is divided by ((-2)/8)/((-24372)/(-12192) + -2).
48
Suppose -3*n = -5*k - 57, -2*n = 7*k - 6*k - 25. Calculate the remainder when 964 is divided by n.
12
Suppose 116 = t - 0*g + 5*g, 5*g + 136 = t. Let k = t + -101. What is the remainder when 148 is divided by k?
23
Suppose 115919 = c + 66*c + 18903. Calculate the remainder when c is divided by 239.
14
Let w(a) = 5*a - 3. Let d(y) = 9*y - 6. Let i(u) = 4*d(u) - 9*w(u). Let g be i(-1). Suppose g*v = 8*v + 280. Calculate the remainder when v is divided by 19.
13
Suppose 0*k + k = 2*c - 9, -3 = 5*k + 4*c. What is the remainder when 303 is divided by (k - (-4 - 1)) + 4 + 45?
48
Let w be 660/99*(-2 + -1). Calculate the remainder when 568 is divided by w*(3 + -1)/((-16)/12).
28
Let y be -12 - (18/(-24) - 22/(-8)). Let p be y*(-4)/(32/20). Let a = 46 - p. Calculate the remainder when a is divided by 6.
5
Let m(v) = -v**3 + 4*v**2 + 5*v + 2. Suppose i = -6*i + 728. Let y = -66 + i. Calculate the remainder when m(-4) is divided by y.
34
Suppose 0 = 1439*v - 1466*v + 18306. Calculate the remainder when v is divided by 168.
6
What is the remainder when 6 is divided by 2/8 + 143/52 + 2?
1
Suppose -34 = -3*d - 4*b, -5*b + 2*b - 37 = -4*d. What is the remainder when 1135 is divided by d?
5
Suppose -48 + 44 = f, b - 27 = 4*f. Calculate the remainder when 436 is divided by b.
7
Suppose 4*l = -2*v + 624, 2*l + 333*v = 338*v + 324. What is the remainder when l is divided by 4 - (1 - -49)/(-1)?
49
Let k(o) = -256*o - 808. What is the remainder when 439 is divided by k(-4)?
7
Let o = 3816 + -3340. What is the remainder when o is divided by 60?
56
Calculate the remainder when (-18 - -4) + 1283 + -13 is divided by 28.
24
Suppose 5*s = 2*j + 15, 0 = -4*j - 3*s + 6*s - 9. Let u(r) = -r**3 + 2*r**2 + r + 310. What is the remainder when u(j) is divided by 78?
76
Suppose -7500 = 124*p - 174*p. Calculate the remainder when p is divided by 26.
20
Suppose 0 = 8*k - 4*k - 1856. Suppose -7*d = -3*d - k. Let p = 257 - 218. What is the remainder when d is divided by p?
38
Let g = -101981 + 101990. Let c be (-6)/(2*(-2)/6). Calculate the remainder when (-156)/c*3*-1 is divided by g.
7
Suppose -l - 21589 = -5*a, 4*a + 4*l + 17268 = 8*a. Calculate the remainder when a is divided by 2156.
6
Suppose -34*g - 356 = -2013 - 6809. Let q = 78 + -27. Calculate the remainder when g is divided by q.
45
Let q(m) = -m**3 + 8*m**2 + m - 6. Let v(h) = h**2 - 41. Let g be v(7). Let w be q(g). Suppose -w*j = -35 + 27. What is the remainder when j is divided by 1?
0
Let x = 11476 - 7777. What is the remainder when x is divided by 161?
157
Let a(v) = 10*v**3 + v**2 - v + 2. Let x be a(1). Let l = -104 + 149. Suppose -x*h = 3*h - l. What is the remainder when 3 is divided by h?
0
Let y = -10247 - -10333. Calculate the remainder when 541 is divided by y.
25
Suppose 4*v = -4*o + 20, 4*v = -3*o + 4*o - 10. Let b(l) = 10*l - 9. What is the remainder when 152 is divided by b(o)?
50
Let l(r) = 64*r**2 - r. Suppose -1276*g = -2*x - 1272*g + 44, 66 = -4*x - 14*g. Calculate the remainder when l(1) is divided by x.
7
Calculate the remainder when 946 is divided by (-72)/(-180)*(5 + 40).
10
Let z(m) = 73*m + 7398. Calculate the remainder when 604 is divided by z(-101).
4
Let r(i) = 10*i - 46. Let b be r(4). Let o(l) = 45 - 2*l + 9*l + 0*l. What is the remainder when 31 is divided by o(b)?
1
Suppose q + 10*b - 102 = 177, 5*q = -4*b + 1119. Calculate the remainder when 1745 is divided by q.
212
Suppose w - z - 3*z - 95 = 0, -3*w + 5*z = -271. Let a 