 1 = 0. Let i be 6 - (k*(-4)/(-8) - -1). Suppose -i*y = -q - 3, -3*y + 15 = -0*y. Calculate the remainder when 151 is divided by q.
15
Let z(h) = -153*h + h**3 - 12 + 76*h + 89*h - 3*h**2. What is the remainder when 107 is divided by z(3)?
11
Suppose -119*k + 116*k + 5*x = -80, -3*x - 52 = -2*k. Calculate the remainder when 74 is divided by k.
14
Suppose -2*r + 5*n = -791 - 55, -5*r = -n - 2069. Calculate the remainder when r is divided by 6.
5
Suppose -3*t + n = -6, 7*t - 10*t - 4*n + 6 = 0. Suppose -t*h - 47 = -x, 62*x - 2*h = 59*x + 141. Calculate the remainder when x is divided by 7.
5
Suppose -2*w - 2*x + 29 = 3*x, -4*w + 4*x = 12. Suppose -w*n - 52 = -2*t, -4*n - 102 = -4*t + n. Calculate the remainder when 167 is divided by t.
27
Suppose 82*f - 2*q = 89*f - 1121, -4*f - 3*q + 648 = 0. Calculate the remainder when 1109 is divided by f.
155
Let h(a) = 2*a**2 - 43*a - 16. Suppose -4*m + 3*f = -179, -3*m + 21 = -2*m + 4*f. Calculate the remainder when h(23) is divided by m.
12
Let p(m) = -m**3 - 11*m**2 + 12*m + 18. Let j be p(-8). Let o = j - -329. What is the remainder when 122 is divided by o?
4
Let y = 339 - 530. Let m = 237 + y. Suppose -4*w = w - 130. What is the remainder when m is divided by w?
20
Let w = -480 + 484. Suppose w*v = 216 + 112. Calculate the remainder when v is divided by 33.
16
Suppose -189 - 26 = -5*g. Suppose -3*i + m = -31, 5*m = -42*i + 39*i + 43. Calculate the remainder when g is divided by i.
10
Suppose 12 = 3*z - z. Suppose 40*d - 10031 = -8031. Calculate the remainder when d is divided by z.
2
Let r(d) = 3*d + 5*d + 1 + 3*d. Suppose 0 = -11*v - 0*v + 1111. What is the remainder when v is divided by r(3)?
33
Let y = 10496 + -9753. What is the remainder when y is divided by 251?
241
Suppose -102 = -5*b + 63. Let t(k) = -10*k - 332. Let o = 884 - 919. Calculate the remainder when b is divided by t(o).
15
Suppose 93 + 87 = 2*l. Let k = l + -29. Suppose -10*j - k = -231. Calculate the remainder when 31 is divided by j.
14
Suppose 2*x = 5*b - 79, 3*b = -b - 5*x + 50. Suppose -6 = -2*n - 0*n. Calculate the remainder when b is divided by n.
0
Suppose -18*i = -22*i + 2*d + 182, i = -3*d + 56. Calculate the remainder when 515 is divided by i.
45
Let m(o) = o**2 + 3*o - 24. Let s be m(-7). Suppose w + 7*z - 4*z = 7, -84 = -s*w + 2*z. Let f = 58 + w. What is the remainder when f is divided by 10?
7
Suppose -5*d + 32 = -4*y, 0 = 2*y - 1 - 3. Suppose d*s + 78 - 742 = 0. Let f = 193 - s. Calculate the remainder when f is divided by 37.
36
Let x(c) = c**3 + 20*c**2 + 18*c + 6. Let d(j) = -10*j + 81. Let w be d(10). Let u = 179 - 80. Calculate the remainder when u is divided by x(w).
24
Let y = 8082 + -7997. What is the remainder when 436 is divided by y?
11
Suppose 5*j - 25 = 0, -4*s - 3*j - 1874 = 3883. Calculate the remainder when 1 + -2*s/6 is divided by 21.
20
Suppose -5856 = 19*b - 6863. Calculate the remainder when b is divided by 41.
12
Let n = 292 - 124. Let r(l) = l**3 - 24*l**2 - 27*l + 59. Calculate the remainder when n is divided by r(25).
6
Let z = -152 - -438. Suppose -5*r - 7*s + 435 = -12*s, 2*r - 168 = 3*s. What is the remainder when z is divided by r?
7
Let r(q) = -3*q**3 - 44*q**2 + 15*q + 21. Suppose 6*o + 177 = 4*i + o, 0 = 2*i - 4*o - 90. Calculate the remainder when i is divided by r(-15).
1
Let w be -6 - 90805/35 - 6/(-14). Let d be (w/6)/(-2) + (-6)/(-18). Suppose -10*j + 757 = d. What is the remainder when j is divided by 11?
10
Suppose -5*j + 991 = -4*a, 0*a = -2*j - 3*a + 401. Suppose 3*t - 508 = -j. Suppose 2*b = -b + 105. What is the remainder when t is divided by b?
33
Suppose -40*t = -37*t + 2*s - 98, 5*t = 2*s + 190. What is the remainder when 71 is divided by t?
35
Let j = 151 - 133. What is the remainder when (-18)/(-27)*(-1854)/(-12) is divided by j?
13
Let i(r) = r**2 - 7*r + 13. Let m be i(5). Suppose -u - 355 = -t, -m = 4*u - 3*u. Calculate the remainder when t is divided by 59.
57
Let g = -418 + 293. What is the remainder when g/(-15) - 2 - 2/(-3) is divided by 3?
1
Suppose 0 = 198*q - 226*q + 952. What is the remainder when 84 is divided by q?
16
Suppose -23*n = 7*n + 39*n - 16146. What is the remainder when n is divided by 108?
18
Suppose -38 = -2*c - 0*c + 3*o, 2*o = 2*c - 38. Let l(n) = -n**2 - 3*n + 1. Let j be l(-4). Calculate the remainder when c is divided by (1 + 11/j)/(80/(-120)).
3
Let b(g) = 320*g - 16203. Suppose -3*h - 62 = -5*h. Calculate the remainder when b(51) is divided by h.
24
Let x = 19 - -79. Suppose -5*f = -302 - x. Suppose -9*a + f = -5*a. What is the remainder when 59 is divided by a?
19
Let d = -449 - -451. Suppose 146 = 4*z - d*g, 4*z - 144 = g + 3*g. What is the remainder when z is divided by 18?
1
Let r(b) = -8*b**2 - 187*b + 131. What is the remainder when 4418 is divided by r(-24)?
7
Suppose 1004*p - 1009*p + 40785 = 0. What is the remainder when p is divided by 22?
17
Let l = 4674 + -4439. What is the remainder when l is divided by 60?
55
Let a be (-1*(5 + -6))/((-5)/(-25)). Suppose -298 = -3*w - a*o - 42, 2*w - 162 = o. What is the remainder when w is divided by 4?
2
Calculate the remainder when (102 - -10)/(9 - (-238)/(-28)) is divided by 138.
86
Suppose 25*u - 11 = -11. Suppose 12*v - 3721 + 1405 = u. What is the remainder when v is divided by 97?
96
Suppose 0 = -4*f + x + 8593, -370 + 6805 = 3*f - 4*x. Calculate the remainder when f is divided by 10.
9
Suppose 0 = -4*t - 12*o + 13*o + 10605, -5327 = -2*t - 3*o. What is the remainder when t is divided by 28?
21
Suppose 0 = 25*f - 1103 - 447. What is the remainder when 348 is divided by f?
38
Let x(c) = 5*c**2 + 2*c. Let u(a) = -a**3 + 8*a**2 - 6*a. Suppose 3*n = -4*t + 19, 5*n + 3*t - 15 - 13 = 0. What is the remainder when u(n) is divided by x(2)?
21
Suppose 0 = -0*l - 2*l + 5*f + 156, 0 = 4*f - 16. Let d be (0 - -1)/(1 + 0). Calculate the remainder when l is divided by 17 - 4/(d + (2 - 2)).
10
Suppose -3*n - 10 = -1, 0 = -5*q + 2*n - 39. Let m = 49 - q. Let x = 109 - 89. Calculate the remainder when m is divided by x.
18
Let n(q) = -7*q**2 + 2*q + 16. Let a be n(-6). Let r = 8 + 1. Calculate the remainder when 1/(-1)*11/(88/a) is divided by r.
4
Suppose 5*a - 12*r = -11*r + 4507, 0 = -4*a - 2*r + 3614. Suppose -a*i - 189 = -905*i. Calculate the remainder when 123 is divided by i.
60
Suppose 2*l - 5*h - 2282 = 0, 6*h = -l + 3*h + 1152. Suppose -74 - 308 = -f - 5*b, -3*f = 2*b - l. Calculate the remainder when f is divided by 32.
30
Suppose -74*f + 12579 = -57*f - 4*z, -5*f - z + 3691 = 0. What is the remainder when f is divided by 14?
11
Suppose 4*u = 339 - 331, -5*c + 3022 = -4*u. What is the remainder when c is divided by 589?
17
Let f = -2411 - -2437. Calculate the remainder when f is divided by 5 + 7 - (-3 - -1).
12
Suppose 1385*q + 3586 - 21424 = 21834 - 3662. Let n = 37 - 22. Calculate the remainder when q is divided by n.
11
Let x(k) = -5*k - 2. Let d = -35747 - -35861. Calculate the remainder when d is divided by x(-3).
10
Let r = 248 - 78. Suppose 4*v - 628 = 4*j, -2*v + 147 = -3*j - r. Calculate the remainder when v is divided by 41.
31
Suppose 12*o - 15*o = -462. Suppose -4*w + 13*p + o = 12*p, 0 = 2*w + 3*p - 70. What is the remainder when 68 is divided by w?
30
Let f(n) = 3*n + 19. Let u = 22 + -17. Let p(i) = 3*i + 19. Let g(k) = u*f(k) - 6*p(k). Calculate the remainder when 31 is divided by g(-12).
14
Let g = -5051 - -5059. What is the remainder when 349 is divided by g?
5
Suppose 18*s - 2509 = 5*s. Let o = s - 165. What is the remainder when 137 is divided by o?
25
Let o(b) = 12*b**2 + 26*b + 105. Calculate the remainder when o(-15) is divided by 6.
3
Suppose -3*k + 9*h + 15 = 6*h, 5*h + 25 = -4*k. Suppose k = l + 2*y + 3*y - 86, -3*l - y = -300. Calculate the remainder when l is divided by 33.
2
Let j = -594 - -69. Let d = 551 + j. What is the remainder when 50 is divided by d?
24
Let i(l) = -2*l**3 + 81*l**2 + 51*l + 35. What is the remainder when i(41) is divided by 91?
81
Let o = 31761 - 31727. What is the remainder when 17644 is divided by o?
32
Suppose 4*j + 1 - 9 = 0. Suppose -91 - 59 = 3*s + p, 200 = -4*s - j*p. Let c = -40 - s. What is the remainder when 18 is divided by c?
8
Suppose -b - d + 206 - 66 = 0, 4*b = -3*d + 553. Calculate the remainder when 216 is divided by 