l + d = 1. Calculate the remainder when l is divided by 13.
12
Suppose -3*z + 0*z + 70 = 2*d, d - 2*z - 21 = 0. Calculate the remainder when 113 is divided by d.
26
Let k(p) = -p**3 + 5*p**2 + p - 3. Let r be k(5). Suppose y - 6 = -u, 0 = 2*y - r*u - 21 - 3. What is the remainder when 96 is divided by y?
6
Let t = 4 - 2. Suppose 2*o - 268 = -t*o. What is the remainder when o is divided by 0 + (-3)/(-1) + (31 - -1)?
32
Let f(z) = -2*z**2 + 2*z + 96. Calculate the remainder when f(0) is divided by 21.
12
Let i(w) = 5*w**2 - 150*w - 49. Let b be i(31). Let c = -73 + 50. Let h = b + c. Calculate the remainder when h is divided by 43.
40
Suppose -3*p - 2*o + 53 = 2*p, -5*o + 20 = 0. Let j be -3 - (-21)/6 - (-83)/(-2). Let m = -39 - j. Calculate the remainder when p is divided by m.
1
Suppose 2*k - 10 = -3*k, -k = -a + 43. Suppose -5*u = 3*v - 15, 3*v + 0 = 5*u - a. What is the remainder when u is divided by (-30)/(-9) + (-4)/(-6)?
2
Let w = -41 - -73. Calculate the remainder when w is divided by (8/(-18))/(-2) + 970/90.
10
Suppose 0 = -36*s + 412 + 272. Let w = 14 + -2. Calculate the remainder when s is divided by w.
7
Let u be (36/(-60))/(2/(-60)). Suppose 3*r = -3*r + u. Suppose 2*b + 12 = 2*z, 4*b + 0*b - 1 = -z. What is the remainder when z is divided by r?
2
Suppose 6*t = 17*t - 374. Calculate the remainder when 100 is divided by t.
32
Suppose 3*l + 13 = -2*t, 5*t - 3*l = -5*l - 38. Calculate the remainder when t/20 - (1 - 276/15) is divided by 8.
1
Let s(y) = y**3 + 3*y**2 - 6*y - 3. Let i(w) = 2*w**3 - 2*w**2 + 5*w - 2. Suppose 120*g = 116*g + 4. What is the remainder when s(-4) is divided by i(g)?
2
Let y = -1055 - -1129. Let i = -3 + 14. Calculate the remainder when y is divided by i.
8
Let f = 1138 + -1114. Calculate the remainder when 1558 is divided by f.
22
Suppose 3*p - 2*q - 24 = 3*q, 2*q = 6. What is the remainder when 56 is divided by p?
4
Let b = -222 + 230. Calculate the remainder when 43 is divided by b.
3
Suppose -5*g - 4*p = -618, 2*p = -2*g + 80 + 166. Calculate the remainder when g is divided by 33.
27
Suppose -2*u = -2*c - 304, -u + 6*c = 4*c - 147. What is the remainder when u is divided by 40?
37
Suppose -5*r - 3*s + 69 = 0, -s + 26 = 3*r - 17. Let i = r - 12. Suppose -t + 14 = i. Calculate the remainder when 31 is divided by t.
9
Calculate the remainder when 59 is divided by (120/270)/((-2)/(-54)).
11
Suppose -11*j + 4012 = 6*j. Calculate the remainder when j is divided by 49.
40
Let c = -542 + 545. Let v(f) = f**2 + 13*f + 15. Let p be v(-12). Suppose 5*s - 5*n = 45, -p*s - 3*n = -5*n - 22. What is the remainder when s is divided by c?
1
Let h be 4*1/10 - 7416/90. Let x = h - -126. Let c(o) = -o**3 + 5*o**2 - 2*o + 4. Calculate the remainder when x is divided by c(4).
8
Let v = 7 - -6. Suppose v*l - 224 = 11*l. Suppose -i + l = i - m, 16 = 4*m. Calculate the remainder when i is divided by 20.
18
Suppose 2*b + 548 = 4*f, 3*b - 206 = -3*f + 214. What is the remainder when f is divided by 7?
5
What is the remainder when 1761 is divided by 1*(-686)/(-21)*(-3)/(-2)?
46
Let a(x) = -3*x**2 - 49*x - 178. Let s be 2/(-3) - (-352)/(-3). What is the remainder when ((-1)/(-2))/((-1)/s) is divided by a(-10)?
11
Suppose 6*f - 4 = 8. Let g = 8 + f. What is the remainder when 38 is divided by g?
8
Let g be 4*1/(16/(-76)). Let a = g - -52. Calculate the remainder when a is divided by 7.
5
Let w(f) = -f**3 + 21*f**2 - 63*f - 13. What is the remainder when w(10) is divided by 92?
89
Let l be (-16)/(-6) + 29/87. Suppose -11 = l*v - 20. Calculate the remainder when 27 is divided by v.
0
Suppose 3*l + t - 39 = 5*t, 3*t - 9 = 0. Suppose 0 = -47*z + 43*z + 24. What is the remainder when l is divided by z?
5
Suppose 36 = -a + 10*a. Let w(k) = -3*k**3 + 12*k**2 + 5*k - 10. What is the remainder when 99 is divided by w(a)?
9
Let s(k) = -29 + 2*k - k**2 + 55 + 11*k. What is the remainder when 34 is divided by s(14)?
10
Let z(s) = 15*s - 6*s + 5 - 11. Let r = 59 + -36. Calculate the remainder when r is divided by z(2).
11
Suppose -12*i - 7*i + 209 = 0. Calculate the remainder when 14 is divided by i.
3
Suppose -18 = -2*f - 4*x, -2*x = -f - x. Suppose -f*k + 2*b - 6*b = -81, 0 = -2*k - b + 59. Calculate the remainder when k is divided by 17.
14
Calculate the remainder when 239 is divided by -16*(-4)/(-8)*-6.
47
Let a(d) = -12*d - 6. Let r(y) = y + 11. Let o be r(-8). Suppose o*t + 12 = -t. Calculate the remainder when 58 is divided by a(t).
28
Let p(v) = -89*v - 17. What is the remainder when 84 is divided by p(-1)?
12
Calculate the remainder when 25 is divided by (-5 + 2)*3/(18/(-28)).
11
Let f(b) = 0*b + 3 + 2*b - 8. Let r(x) = x**2 + 8*x + 44. What is the remainder when r(-9) is divided by f(8)?
9
Let k = -506 - -336. Let v = -68 - k. What is the remainder when v is divided by 35?
32
Let q = 7 - -3. Calculate the remainder when q is divided by (-2)/((-2)/5) - 8/4.
1
Calculate the remainder when 9909/72 - (-12)/32 is divided by 4.
2
Suppose -48*k = 252 - 876. Calculate the remainder when k is divided by 7.
6
Suppose 2*a - 7*a = w - 60, -23 = -a + 2*w. Suppose -3*o + a = -5*n - 119, -3*o + n + 120 = 0. Calculate the remainder when o is divided by 14.
11
Suppose 0 = 17*n - 98 - 72. Calculate the remainder when 197 is divided by n.
7
Suppose 4*p - 168 = o, 4*o - 145 = -0*p - 3*p. Calculate the remainder when p is divided by 23.
20
Let q(r) = -53*r - 253. What is the remainder when 92 is divided by q(-5)?
8
Let u(w) = 2*w**2 - 11*w + 6. Calculate the remainder when 1699 is divided by u(7).
25
Suppose 125*j + 621 = 128*j. Calculate the remainder when j is divided by 38.
17
Suppose -5 = -b - 3. Suppose -10 = 4*h - b*h, 180 = 5*j - 4*h. Calculate the remainder when j is divided by 12.
8
Let m = 948 - 821. What is the remainder when m is divided by 31?
3
Let k(d) = d**3 - 8*d**2 - 6*d - 13. Let o be (-27)/(-2)*(-18)/(-27). What is the remainder when 41 is divided by k(o)?
13
Let p = 5 - -35. Suppose 4*b = -26 + 14, -2*b = 4*w - 50. Calculate the remainder when p is divided by w.
12
Let w be 10/4*(2 - -2). Let z(l) be the second derivative of l**4/12 - 4*l**3/3 - 6*l**2 - 4*l. What is the remainder when z(w) is divided by 3?
2
Let r(i) = -7*i - 40. Calculate the remainder when r(-15) is divided by 10.
5
Suppose -559 = -8*t + 4*t + 3*b, 5*t - 4*b = 699. What is the remainder when t is divided by 20?
19
Let h = 180 - 170. What is the remainder when (3/6)/(1/118) is divided by h?
9
Let c = 424 - 411. Let x = 8 + -13. Let k(y) = 2*y**2 - 4*y - 6. Calculate the remainder when k(x) is divided by c.
12
Let d = 1933 + -1847. Calculate the remainder when 597 is divided by d.
81
Let d = -28 + 50. Suppose 4*b + 0*b - 2*m = 4, -20 = -5*m. Suppose -3*c + 72 = b*c. Calculate the remainder when d is divided by c.
10
Let p(v) = -69*v + 1163. Calculate the remainder when p(15) is divided by 43.
42
Suppose 0 = 29*c - 30*c - 3*l + 6, c = -4*l + 4. Calculate the remainder when 45 is divided by c.
9
Suppose g = -0*g + 52. Let q = -122 - -216. Let z = q - 67. What is the remainder when g is divided by z?
25
Let l(y) = y + 8. Let g be l(-5). Suppose -11 = -3*i - 2, -g*i - 3 = -4*s. Suppose 6 + 0 = u. Calculate the remainder when u is divided by s.
0
Suppose -n + 12 = x, -x = 4*x + n - 56. Calculate the remainder when 260 is divided by x.
7
Suppose 135*q + 10 = 137*q. Calculate the remainder when 42 is divided by q.
2
Let c = 140 - 126. What is the remainder when 473 is divided by c?
11
Suppose 9*j = 134 + 1. Calculate the remainder when 51 is divided by j.
6
Suppose 5*j + 1462 = 2*i, 0 = 4*j + 5*i + 109 + 1054. Let y = 482 + j. Calculate the remainder when y is divided by 24.
22
Let v(m) = -m**2 + 11*m - 17. Calculate the remainder when (-18)/8*80/(-6) is divided by v(7).
8
Let x(i) = i**2 + 46*i - 903. Calculate the remainder when 27 is divided by x(15).
3
What is the remainder when 5/(10/404)*(62 - 60) is divided by 69?
59
Suppose 215 = s - 142. Calculate the remainder when s is divided by 122.
113
Suppose -2*o + 155 = 5*j - 4*j, 2*o + 4*j = 140. What is the remainder when o is divided by 41?
39
Let y(w) = w**3 + 5*w**2 - 39*w - 1. Calculate the remainder when 243 is divided by y(-9).
9
Suppose 1174 = -7*t + 1636. What is the remainder when 115 is divided by t?
49
Let u(z