t.
53
Calculate the remainder when (5 - -137)*(-93)/(-62) is divided by 75.
63
Let y = -57 - -61. Suppose 24 = c - 2*t, c = -0*c - y*t + 30. Calculate the remainder when 127 is divided by c.
23
Let x(q) = 302*q**2 - q + 300*q**2 - 596*q**2 - 19. What is the remainder when x(5) is divided by 26?
22
Suppose 61 + 55 = f. Suppose 4*w - 4*c - f = 0, 0*w + 3*w - 5*c - 83 = 0. Calculate the remainder when 120 is divided by w.
27
Suppose -37 = 5*v + 43. Let i be (36/v)/3 - 2086/(-8). Suppose -i = -29*q + 24*q. Calculate the remainder when q is divided by 18.
16
Calculate the remainder when 532 is divided by 358/7697 + 6573/129.
22
Suppose 1289 = 3*p + k, -29*p + 30*p + 5*k = 439. Calculate the remainder when p is divided by 62.
57
Let o(v) = -223*v - 1519. Calculate the remainder when o(-9) is divided by 65.
33
Suppose 4 + 5 = d - i, 5*i - 11 = -2*d. Suppose 3*n = 5*f - d - 13, 3*n + 3*f = 3. Let s = n + 18. What is the remainder when 75 is divided by s?
11
Suppose 13*a = 2*a + 2167. Suppose -9*l + a = -199. Calculate the remainder when l is divided by (-38)/(-2) + -2 + 0.
10
Let c(g) = 93*g + 3. Let v be c(-1). Let p = v + 167. Let a = 4 + p. Calculate the remainder when a is divided by 21.
18
Let l(k) = -23 + k - k**3 + 53 - 20 - 2*k**2. Calculate the remainder when l(-6) is divided by 30.
28
Let c = 10549 - 8338. What is the remainder when c is divided by 27?
24
Suppose -239 = 5*q - 224. Calculate the remainder when 32 is divided by 8/(-2) + (q - (0 + -18)).
10
Suppose -3*i + 4*l = 0, 0 = -3*i - 5*l + 8*l. Suppose -q + m + 12 = i, q - 5*m - 16 = 4. What is the remainder when 116 is divided by q?
6
Let l(k) = 73*k**3 + 2*k**2 + 72*k - 228. What is the remainder when l(3) is divided by 43?
42
Suppose -3*g = -0*m + m - 137, -3*m + 451 = g. What is the remainder when 154 is divided by m?
2
Suppose -m + 2*q + 20 = 16, 56 = 3*m + 5*q. Suppose -d = d. Suppose 0 = 5*f - 3*u - 163, -2*f - 2*u = -d*f - 62. What is the remainder when f is divided by m?
8
Let k(a) = 4*a**2 + 48*a - 326. Suppose -4*u = -5*u + 40. Let g = u + -3. Calculate the remainder when g is divided by k(5).
9
Suppose z - 9*u = -13*u + 49, -2*z - u = -119. Suppose -3*p = -15, 5*p + 81 = 2*c - 88. Calculate the remainder when c is divided by z.
36
Suppose 5*v + 6595 = 5*i, -58*i = -57*i + 4*v - 1309. What is the remainder when i is divided by 220?
217
Suppose -4*r + 3*u = -23 - 9, 5*r = 3*u + 43. Suppose -2*n + a + 134 = 0, -5*a + 275 = 8*n - 3*n. Calculate the remainder when n is divided by r.
8
Let o(r) = 121*r + 11. Let s be o(3). Let b = s - 240. Let f = -112 + b. Calculate the remainder when 59 is divided by f.
15
Suppose 12*i = -10 - 2. Let r(m) = -9*m + 12. Calculate the remainder when 6/33 + (-1)/((-33)/2700) is divided by r(i).
19
Let m = -127 - -198. Suppose 0 = 2*v + 132 - 174. What is the remainder when m is divided by v?
8
Suppose 0 = 24*t - 30*t + 48. Let r(g) = -g + 18. Calculate the remainder when 57 is divided by r(t).
7
Suppose 30*y + 34*y - 42880 = 0. What is the remainder when y is divided by 35?
5
Suppose -42 - 22 = -32*i. Let n(k) = 5*k**2 + 37*k - 69. Calculate the remainder when 117 is divided by n(i).
17
Let n = 79 - 40. Suppose 324 = -9*l + 7*l - 2*p, -812 = 5*l + 4*p. Let k = l - -171. What is the remainder when n is divided by k?
4
Suppose -3*q = -3*j + 90, 5*j - 44*q - 174 = -47*q. Calculate the remainder when 1218 is divided by j.
30
Suppose 492 - 372 = 15*w. Let i = -56 - -61. Calculate the remainder when w is divided by i.
3
Suppose 0 = -144*l + 2978 - 530. Calculate the remainder when (-826)/(-10) + 4/10 is divided by l.
15
Let v(o) = -21*o + 378. What is the remainder when 118 is divided by v(16)?
34
Let t(u) = -u**2 + 15*u - 30. Let y(k) = k**3 - k**2 - 3*k - 5. Let x be y(3). Suppose 47 - 17 = 5*z. What is the remainder when t(x) is divided by z?
2
What is the remainder when (-433035)/(-165) - 18/(-33) is divided by 18?
15
Let w(j) = -j**3 + 4*j**2 + 8*j - 13. Let m be w(5). Suppose -42*i - 5*t = -44*i + 68, m*i = -t + 68. What is the remainder when i is divided by 1?
0
Suppose -59*p = -55*p + 5*b - 426, 2*b - 444 = -4*p. Calculate the remainder when 1042 is divided by p.
16
Suppose -4*j = -5*g - 284, 3*g + g = 2*j - 148. Let p(z) = z**3 - 6*z**2 + 13*z - 25. What is the remainder when j is divided by p(5)?
6
Let d = 17 - -20. Let h be ((-17)/4 - 4) + (-2)/(-8). Let l(o) = -6*o + 24. Calculate the remainder when l(h) is divided by d.
35
Let p = -664 - -687. Suppose -135 = -r - 4*z, 0 = 7*r - 3*r - z - 489. Calculate the remainder when r is divided by -1 - 1 - (-21 - p).
39
Suppose 0 = 372*h - 355*h - 68. Calculate the remainder when 566 is divided by h.
2
Suppose -j - 5*c - 22 = 0, 0*j + j - 4*c = -40. Let s = -12 - j. Let w = 166 - 69. Calculate the remainder when w is divided by s.
17
Suppose -4 = -5*n - 4. Suppose n = -21*o + 10*o + 143. Calculate the remainder when 180 is divided by o.
11
Let g = 19864 - 19231. What is the remainder when 1906 is divided by g?
7
Let p = 193 - 190. Suppose -3*l - 2*q = -15, 4*l = 5*l + p*q - 5. What is the remainder when 57 is divided by l?
2
Let y = -7487 - -7491. Calculate the remainder when 5 is divided by y.
1
Let c be -1*2/5 + 144/60. Suppose -2*m + 125 = 35. Suppose 0*p - 3*p - z + 38 = 0, -c*z - m = -5*p. What is the remainder when 32 is divided by p?
10
Suppose 8688 = 1109*o - 1101*o. What is the remainder when o is divided by 14?
8
Suppose k - 11 + 3 = -5*u, -4*u = -4*k + 80. Let h(g) = k*g**2 + 0*g**3 + 23*g**2 - 38*g**2 + 2*g - g**3. What is the remainder when 189 is divided by h(-2)?
13
Suppose 0 = -4*s - w + 285, 5*s = -w + 303 + 52. Calculate the remainder when s is divided by 31.
8
Suppose 0 = 9*w + 4 + 68. Let a(b) = 12*b + 127. Calculate the remainder when 122 is divided by a(w).
29
Suppose 57 = 3*t - 3*g, 3*g = -146 + 143. Calculate the remainder when 757 is divided by t.
1
What is the remainder when 103 is divided by 1448/905*(-190)/(-4)?
27
Let x(i) = 164*i - 1727. Calculate the remainder when x(11) is divided by 40.
37
Suppose 22*s = 9*s + 4745. Suppose 10*i = s - 65. What is the remainder when 76 is divided by i?
16
Let r = -1226 - -1226. Suppose o + 2 = r, 3*h + 113*o - 108*o - 89 = 0. What is the remainder when h is divided by 41/3 + 2/(-3)?
7
Let b(p) = -46*p - 3 - 36*p + 13*p - 16. Let x be b(-6). Suppose -n + 370 = 5*g, 5*g + 2*n + 25 = x. Calculate the remainder when g is divided by 16.
10
Let a be ((-36)/10 - 2) + (-10)/25. Suppose 104 = 4*t - 56. Calculate the remainder when t is divided by (117/36 + a)/(1/(-4)).
7
Calculate the remainder when 497 is divided by ((357/78)/7 + 10/(-65))*50.
22
Suppose -175 + 472 = -520*b + 625*b - 228. Suppose 0*n + 3*n - 375 = -3*l, 4*n = 2*l - 262. What is the remainder when l is divided by b?
2
Let u = 133 + -92. Suppose -13*f + 40 = -8*f, -39*k + 38*k - 2*f + 37 = 0. What is the remainder when u is divided by k?
20
Let c = -503 - -898. Suppose 4*l + l + 3*z = c, 5*z = 2*l - 189. Suppose a - l - 69 = 0. What is the remainder when a is divided by 31?
27
Suppose 3*n - 3 + 0 = 0, w = n + 345. What is the remainder when w is divided by 112?
10
Suppose 202 = q - w, -q - 5*w - 386 = -3*q. Calculate the remainder when 628 is divided by q.
4
Let i(b) = -36*b - 25. Let t be i(-3). Let y = t + -69. What is the remainder when 19 is divided by y?
5
Let z(g) = -g**2 - 10*g + 6. Let o be z(-10). What is the remainder when o/(-72)*2*-1074 is divided by 47?
38
Let m be 4 - (0 + (0 - 1)). Suppose 4*r - j = 14, -3*j + 11 - 2 = m*r. Suppose -r*k + 12 = -3. What is the remainder when 9 is divided by k?
4
Suppose -9*b - 132 = 102. Calculate the remainder when 125 is divided by (27 + b)/((-1)/(-16)).
13
Suppose -2*n - 3*s + 32 = -0*n, -4*s = 0. Suppose 3*p = 5*x - 714, -x - 6 = 3*p - 156. Calculate the remainder when x is divided by (59 - 1)/(n/72*9).
28
Suppose -14*s + 4484 + 80 = 0. Suppose 4*r + 5*h - 3*h = s, -15 = -5*h. Calculate the remainder when r is divided by 36.
8
Let o = 1 - 2. Let t be ((-1)/(7/(-19)) + o)*105. Suppose -5*s + 65 + t = 0. Calculate the remainder when s is divided by 17.
15
Let z(r) = 8*r**2 - 2*r. Suppose -4*q = -5*v - 38, 10*q + 62 = 14*q - v. What is the remainder when z(2) is divided by q?
11
Let n = -2077 + 1443. Let g = -616 - n. Calculate 