 the remainder when 30 is divided by l?
8
Let g(i) = 5*i - 21. Suppose u + 28 = 3*u. Suppose -3*w + 85 = 5*s, -4*s - 17 = w - 2*w. Calculate the remainder when g(u) is divided by w.
24
Let w be 3 + (0 - (-3 - -6)). Suppose -3*s + 24 = -w. Calculate the remainder when 18 is divided by 8 - (s/4 - 4).
8
Suppose -4*b = 4*j - 72, j + 2*j - 44 = -b. What is the remainder when 49 is divided by j?
10
Let b(a) = -a**2 - 3*a + 12. Let r be b(6). Calculate the remainder when (4 - r/(-9))*-33 is divided by 12.
10
Suppose -2*j - 10 + 26 = -2*d, j - 10 = 2*d. Suppose j = 2*u - 6. Calculate the remainder when 16 is divided by u.
4
Suppose 4*v = v - 15, -5*b - 5*v + 155 = 0. Calculate the remainder when ((-33)/(-6) + -2)/(2/b) is divided by 16.
15
Let b(j) = 2*j**2 - 3*j + 3. Let a be b(2). Suppose -a*y + 50 = 5. Suppose h - 3 = -4*p + 21, 29 = h + 5*p. Calculate the remainder when y is divided by h.
1
Suppose 3*s + 0*s = 0. Suppose 33 = -p + 4*u, s = u + 2 + 3. Let i = -33 - p. Calculate the remainder when 58 is divided by i.
18
Let d(a) = -18*a - 14. Calculate the remainder when 6/27 - (-763)/9 is divided by d(-2).
19
What is the remainder when ((-120)/84)/((-1)/28) is divided by 24?
16
Let i = 73 - 61. What is the remainder when 598 is divided by i?
10
Suppose 4*i + 52 = -40. Let c = 40 + i. Calculate the remainder when c is divided by 6.
5
Let t(r) = -r**3 - 6*r**2 + 6*r - 39. Calculate the remainder when 135 is divided by t(-8).
12
Let l(f) = 10*f**2 - 11*f - 19. Calculate the remainder when 642 is divided by l(-2).
40
Let w = -7 - -35. Suppose u - w = -4*c, -4*c + 0*u + 28 = -3*u. Let q = 84 + -79. Calculate the remainder when c is divided by q.
2
Let f = 870 + -868. Let r(v) = v**2 + 3*v + 3. Let w be r(-5). Let k = w - 7. What is the remainder when k is divided by f?
0
Suppose -3*v = 11*v - 2212. Calculate the remainder when v is divided by 15.
8
Suppose -37 = 5*f - 402. Let p = 1 + 3. Suppose 5*a = -5*n + 105, 0 = -a + p*n - 3 + 14. Calculate the remainder when f is divided by a.
16
Let d(f) = 2*f**2 - 47*f + 54. What is the remainder when d(27) is divided by 19?
15
Suppose 0 = 3*z + 5*k - 898, 18*z + 5*k + 632 = 20*z. Calculate the remainder when z is divided by 62.
58
Let g = 106 + -74. Let m = -11 + g. What is the remainder when (-1)/((-1)/4) + 78 is divided by m?
19
Let m(p) = -6*p**3 + 2*p**2 + 3*p + 3. Let w(j) = 3*j**2 - 4*j + 1. Let f be w(-2). Suppose 2*g - 57 = -f. Calculate the remainder when m(-2) is divided by g.
17
Suppose -2*f + 3*f = 2*k + 64, 3*f + k = 171. Let p(u) be the second derivative of -3*u**5/20 - u**4/12 - u. Calculate the remainder when f is divided by p(-2).
18
Let u = -702 - -725. Calculate the remainder when 193 is divided by u.
9
Suppose 2*o + 3*s - 19 = 4, s = -3*o + 17. Suppose 4*x - o = -2*p, 0*p + p = 3*x - 13. Let t = -12 - -27. Calculate the remainder when t is divided by x.
0
Suppose 4*w - 241 = -5*k, -216 = -5*k - 3*w + 26. Calculate the remainder when 1223 is divided by k.
47
Let a be 4 - (4 + -3 + 0). Suppose a*f - 96 = -f. Calculate the remainder when f is divided by 10.
4
Let k = -6 - -14. Suppose 0*j = -j + 2*p, 5*p - 5 = 0. What is the remainder when -12*25/(-20)*j is divided by k?
6
Suppose 3*v + 20 = -3*b - 13, -3*v - 1 = -5*b. Let w(j) = j**2 - 8*j - 6. Let d be w(v). What is the remainder when (d/(-18))/((-1)/2) is divided by 4?
3
Calculate the remainder when 3/(18/600) + 1/(-1) is divided by 17.
14
Let x be (20/(-6) + 2)/((-3)/9). Suppose 68 = -x*c + 228. Calculate the remainder when c is divided by 22.
18
Suppose 54*y - 166 = 914. What is the remainder when 535 is divided by y?
15
Let m(i) = -24*i - 173. Calculate the remainder when m(-10) is divided by 16.
3
Suppose 1073*x - 1067*x = 1620. What is the remainder when x is divided by 34?
32
Let g(f) = 4*f**2 - 17*f - 8. Calculate the remainder when 403 is divided by g(7).
58
Let s(o) = -23*o + 23. Suppose 2*f - 3*f + 9 = v, -5*f + 2*v = -45. What is the remainder when s(-2) is divided by f?
6
Let q = 743 - -311. Calculate the remainder when q is divided by 24.
22
Let h = -28 - -49. Let f = 39 + 17. Calculate the remainder when (2 - f)*(-6)/4 is divided by h.
18
Suppose 166 = 4*m - 174. Calculate the remainder when m is divided by 47.
38
Suppose 180 + 41 = 13*t. Calculate the remainder when 217 is divided by t.
13
Calculate the remainder when 2/(-3) + 1 - 1480/(-24) is divided by 12.
2
Let z be (-3)/54*-4 - (-8)/(-36). Suppose 0 = -2*b - 2*h + 90, z*b + 2*h + 192 = 4*b. Calculate the remainder when b is divided by 12.
11
Let k be (-143)/169 - (1 + (-11)/13). Let i(c) = 0*c + c + 15*c**2 + 28*c**2. Calculate the remainder when i(k) is divided by 22.
20
Calculate the remainder when (-5)/(-65) + 26316/117 is divided by 77.
71
Let m(s) = -s**3 + 4*s**2 + 2*s - 5. Let d be (-18)/2*(-60)/9. Let j = d - 46. Calculate the remainder when j is divided by m(4).
2
Let s(a) = -a + 12. Let r be s(0). Suppose -167*t + 169*t + 3*d - 9 = 0, 0 = -3*t - 2*d + 26. Calculate the remainder when (33/6)/(2/r) is divided by t.
9
Suppose 31 = 8*u - 169. What is the remainder when 49 is divided by u?
24
Let m(z) = -z**3 + 2*z**2 + 12*z - 2. Suppose y + 15 = 40. Calculate the remainder when y is divided by m(-3).
4
Suppose 4*q - 4*b = 1560, 7*q = 2*q - b + 1944. What is the remainder when q is divided by 17?
15
Suppose -1360*s + 1343*s = -680. Calculate the remainder when 319 is divided by s.
39
Suppose -5*q + q = -160. Calculate the remainder when q is divided by 1/(-4)*(151 - 203).
1
Suppose -4*x - 2*f + 32 = -10, 2*f - 12 = -x. Calculate the remainder when 28 is divided by x.
8
Suppose 100*m - 1175 - 2225 = 0. Calculate the remainder when 781 is divided by m.
33
Suppose i + 51 = -2*i - 3*m, -3*m = i + 27. Let b = i + 46. Calculate the remainder when b is divided by 7.
6
Let n(j) = 5*j + 107. What is the remainder when n(-5) is divided by 23?
13
Let b(g) = -g**3 + 2*g**2 - 8*g. Let r(q) = -2*q**3 + 3*q**2 - 17*q. Let a(o) = -5*b(o) + 2*r(o). What is the remainder when 12 is divided by a(3)?
3
Let v = 42 + -38. Suppose -2*a = -6*a + 4*k + 24, -8 = v*k. Let u(s) = 19*s - 17. Calculate the remainder when u(a) is divided by 15.
14
Let w(b) = -b**2 + 15*b + 8. Let x be w(14). Suppose x*j = 23*j - 7. Calculate the remainder when 9 is divided by j.
2
Suppose -3*s = 5*t - 37, t - 6*t = 4*s - 41. Let o = 2 + 16. Suppose -s*d + 22 = -o. Calculate the remainder when 29 is divided by d.
9
Suppose -9*z = 2 + 25. Suppose 5*k + 4*s - 60 = 0, -3*k + 3*s + 53 = 2*s. What is the remainder when 4 - -75 - (0 - z) is divided by k?
12
Suppose -5*u - 7 = -52. Suppose -118 + 10 = -d + 3*p, 0 = 2*p - 2. Let v = -85 + d. What is the remainder when v is divided by u?
8
Suppose 0 = -4*q - 0*q + 56. Let z(t) = q + 12*t - 6*t**3 + t**3 - 7*t**2 - 7*t**2 + 4*t**3. What is the remainder when z(-15) is divided by 10?
9
Suppose 5*d - 48 = -i, i - 5*i + 307 = -3*d. Suppose -5*o = -20, 2*o - 6*o = 3*t - i. What is the remainder when t is divided by 7?
5
Let h(m) = 14*m + 68. What is the remainder when h(10) is divided by 5?
3
Let d = -14 - -16. Suppose 0 = -z - d, -n + 3 = 5*z - 5. Suppose -4*k = 3*b - 163, 4*k - 89 = -2*b + 21. Calculate the remainder when b is divided by n.
17
Suppose v + 3*q + 93 = 0, -q = v + v + 186. Let f be -165 + 0 + 2 + -4. Let d = v - f. What is the remainder when d is divided by 19?
17
Suppose 0 = -3*d + 20 + 16. Let y(f) = 2*f**2 - 4*f + 6. Calculate the remainder when y(4) is divided by (-4)/(-6) - (-136)/d.
10
Suppose 11 = -y - 0. Let f = -11 - y. Suppose -x - 4*x + 25 = f. What is the remainder when x is divided by 2?
1
Suppose -3*h - 55 = -4*l, -4 = 4*l - 8. Let s = h - -19. What is the remainder when (s - (1 - 0))*14 is divided by 4?
2
Suppose 3*y - 19 = -2*o, 5*o + 40 = 5*y - 0*y. Let k = -81 + 89. Suppose 0 = -k*g + 147 + 69. Calculate the remainder when g is divided by y.
6
Let w = -528 + 650. Calculate the remainder when w is divided by 8.
2
Let a(o) = -39*o - 11. Let f(i) = 6 + 12*i + i + 7*i. Let g(d) = 3*a(d) + 5*f(d). Calculate the remainder when g(-2) is divided by 16.
15
Let o = 1216 + -1176. Calculate the remainder when 121 is divided by o.
1
Let p(o) = -o**2 - 6*o + 4. Let k be p(-5). Suppose 0 = -6*f + k*f - 21. Suppose -3*a + 29 + 22 = 0. What is the remainder