 1. Calculate the remainder when 37 is divided by z(j).
17
Suppose 4*s = 7*s + 5*i - 22, 2 = -2*s + 5*i. Suppose -75 = 5*d - 0*d. Let o(l) = l**3 + 16*l**2 + 16*l + 21. What is the remainder when o(d) is divided by s?
2
Let l(r) = -r**3 + 11*r**2 + 8*r + 29. Let q be l(12). Let k = 47 + q. Calculate the remainder when 53 is divided by k.
25
Let j = 246 + -173. Let c = -57 + j. What is the remainder when 61 is divided by c?
13
Let t = 58 - 20. Let y(j) = -127*j - 241. What is the remainder when t is divided by y(-2)?
12
Suppose 5*s - 320 = -0*s. Let k = s + -36. Calculate the remainder when k is divided by 11.
6
Suppose 0*h + 5*h - 68 = 3*g, h = -g + 20. What is the remainder when 77 is divided by h?
13
Let o(m) = m + 7. Let i be o(-5). Let f be (4 + -3)*34/i. Suppose -62 = -3*x - f. What is the remainder when 44 is divided by x?
14
Suppose 2*v + 31 = -0*v - 5*p, -4*v = -5*p + 137. What is the remainder when 78 is divided by -2 + 7/4 - 567/v?
18
Suppose -20 + 5 = -5*w - 5*j, -6 = -2*w + 4*j. Suppose -2*t = 10, 2*t + 1 + 144 = w*l. Let p(n) = n + 12. What is the remainder when l is divided by p(11)?
22
Calculate the remainder when 484 is divided by -5 + (-1239)/(-5) - 4/5.
0
Let j(p) = -p**3 - 8*p**2 + 8*p - 9. Let k be j(-9). Suppose h + z - 4*z - 10 = k, -z - 1 = 2*h. What is the remainder when 35 + (1 - h) - -1 is divided by 19?
17
Suppose -16 = 3*t + t. Calculate the remainder when 23 is divided by (198/(-55))/(t/((-40)/(-3))).
11
Let s(d) = d**3 + 9*d**2 + 12*d + 12. Let u be s(-8). Let m be (-197)/(-4) + (-15)/u. Let k = m - 35. What is the remainder when k is divided by 9?
6
Suppose 2*b = -3*w + 18, 0 = -3*w - 0*w - 5*b + 27. Suppose 0 = -3*d + f + 16 + 18, -d = w*f + 6. Calculate the remainder when 21 is divided by d.
1
Suppose 4*v - 29 - 19 = 0. Let d(c) = -c - 1. Let k be d(5). Calculate the remainder when 105/2 - k/v is divided by 14.
11
Suppose 0 = -8*x + 20 + 204. Suppose -34 = -3*t + j + j, -j + 1 = 0. Calculate the remainder when 916/x - (-8)/28 is divided by t.
9
Suppose 0 = -4*z - 2*z + 360. Suppose 100 = 5*p - 5*o, -5*p = -3*o - z - 30. What is the remainder when 162 is divided by p?
12
Suppose -4*m = -r + 314, 13*r - 4*m = 9*r + 1292. Calculate the remainder when r is divided by 22.
18
Let r(x) = x**3 - 2*x**2 - 8*x + 6. What is the remainder when 285 is divided by r(5)?
39
Let a(n) = -4*n + 17. Let b be a(7). Let m = b + 16. Suppose 3*i - 4*j - 29 = 0, -60 = -i - 4*i - m*j. Calculate the remainder when 39 is divided by i.
6
Suppose 0 = -7*m - 5 + 33. Calculate the remainder when 70 is divided by 2*(-6)/m - (-15 - 0).
10
Suppose -3*z = -4*y + 22, -4*y - z = -9 - 5. What is the remainder when 26/(-4)*(49 - 51) is divided by y?
1
Let b = -814 + 820. Calculate the remainder when 159 is divided by b.
3
Let l be (-2)/(-6)*(-30)/(-5). Suppose 3 = -2*p + 103. Suppose 2*c = 5*y - p, l*y + 2*y + 2*c = 22. Calculate the remainder when 29 is divided by y.
5
Suppose -8*j - 175 = -15*j. What is the remainder when 36 is divided by j?
11
Calculate the remainder when ((-560)/21)/(-20)*831/4 is divided by 87.
16
Suppose 0*t = -t - 2*n + 10, 0 = 2*t + 2*n - 10. Suppose 2*m - 13 + 1 = t. Calculate the remainder when 17 is divided by m.
5
Let c(n) = -n + 29. Suppose 106 = 4*q + 2*i, 0*q - 3*q = 2*i - 78. Calculate the remainder when q is divided by c(13).
12
Suppose -66 = -2*u + 3*s + 178, 5*s - 122 = -u. Let a(w) = -5*w + 1. Calculate the remainder when u is divided by a(-6).
29
Suppose 1206 = 17*y - 2551. What is the remainder when y is divided by 115?
106
Let d(o) = -13*o**2 - 3*o - 7. Let p(g) = 14*g**2 + 4*g + 8. Let v(y) = -7*d(y) - 6*p(y). Let i = 10 - 8. Calculate the remainder when v(i) is divided by 12.
11
Let w = -81 - -27. Let l = w + 90. What is the remainder when 250 is divided by l?
34
Let n = -1 + 13. Let c(o) = 32*o - 2. Let l be c(1). Suppose 2*p - 3*p + 3*j = -l, -5*p + 170 = 5*j. What is the remainder when p is divided by n?
9
Suppose -249 = -3*u - 2*c, -252 - 82 = -4*u - 2*c. Calculate the remainder when 508 is divided by u.
83
Let m(w) = -w**3 + 17*w**2 - 2*w + 62. What is the remainder when 151 is divided by m(17)?
11
Let z = 267 + -260. What is the remainder when 29 is divided by z?
1
Suppose 7 + 2 = 3*n. What is the remainder when 2/2 - (-20)/70*7 is divided by n?
0
Let j(f) = f**3 + 8*f**2 + 7*f + 1. Let g be j(-7). Let x be -4 + 15/3 - g. Suppose 3*w - 8*w + 70 = x. What is the remainder when w is divided by 4?
2
Let v be 8/(-60) - 32/(-15). Suppose -v*u - 22 = -0*u. Let a = 16 + u. Calculate the remainder when 9 is divided by a.
4
Let t = 87 + -87. Suppose 3*y - 2*m - 55 = -m, 2*y + 5*m - 48 = t. What is the remainder when y is divided by 11?
8
Let h(y) = -8*y. Let v be h(3). Let j = v - -40. Calculate the remainder when (-44)/(-1) + (5 - 4) is divided by j.
13
Suppose -m - 6 + 53 = 0. Let p = -16 + m. Suppose 2*s = 8 + 8. What is the remainder when p is divided by s?
7
Suppose 0 = 5*h - 1044 - 931. Calculate the remainder when h is divided by 36.
35
Let a = 0 + 10. Let r = 489 - 456. What is the remainder when r is divided by a?
3
Let l(n) = n**3 - 13*n**2 + n - 6. Let k = 47 - 34. Calculate the remainder when 34 is divided by l(k).
6
Let n be 147 - (2 + -3 + 1). Suppose 10*r - 33 = n. What is the remainder when r is divided by 10?
8
Suppose -52*o + 40*o + 408 = 0. Calculate the remainder when 94 is divided by o.
26
Let g(t) = -t**3 + 22*t**2 + 27*t - 48. What is the remainder when 439 is divided by g(23)?
43
What is the remainder when 192 is divided by 11 - (1 + (6 - 10))?
10
Suppose 4*v + 6 + 22 = 2*d, v = d - 9. Suppose -3*t + 3*j - 54 = 6*j, 0 = 3*t + 2*j + 54. Let c = -6 - t. Calculate the remainder when c is divided by d.
0
Suppose y - 5 = 0, -4*b + 2156 = 2*y - 2250. What is the remainder when b is divided by 20?
19
Let c(o) = o**3 - 4*o**2 + o - 4. Let f be c(6). Let z = f + -64. Suppose 116 = 2*s + 2*s. What is the remainder when s is divided by z?
9
Suppose 18 = 5*c - 7. Suppose b + 117 = c*n, 42 = -2*n + 4*n + 2*b. What is the remainder when n is divided by 15?
8
Let b be (-548)/12 - (-1)/(-3). Let t = 57 + b. Calculate the remainder when t is divided by 3.
2
Let a = 1172 + -819. What is the remainder when a is divided by 21?
17
Let x = 176 - 69. What is the remainder when x is divided by 11?
8
Let j(r) = -31*r - 274. Calculate the remainder when 35 is divided by j(-9).
0
Suppose -5*y - 5*i = -290, 9*i = -y + 7*i + 56. What is the remainder when y is divided by 16?
12
Let x(m) = -16*m + 106. What is the remainder when x(4) is divided by 21?
0
Suppose -3*h + 357 - 51 = 0. Suppose 5*v + 17 = h. Calculate the remainder when v is divided by (5*(-24)/220)/((-1)/11).
5
Let g = 153 + -148. What is the remainder when 17 is divided by g?
2
Let h = 2462 + -2435. Calculate the remainder when 141 is divided by h.
6
Let o be (-18)/(6*4/12). Calculate the remainder when 7 is divided by (o - -18) + (-3 - 1).
2
Let p(x) = x + 1. Let g be p(1). Let w be g/10 - 42/(-15). Calculate the remainder when 39 is divided by (w + 37)/4 + 0.
9
Suppose -4*w + 24 = -0*n - n, -4*n + w - 21 = 0. What is the remainder when -2 - -46 - -6*2/n is divided by 11?
8
Suppose -11*b - 16*b + 135 = 0. What is the remainder when 26 is divided by b?
1
Let i(q) = q**2 + 3*q + 10. Let w(a) = -2*a + 12. Let x be w(4). Suppose 4*l + 21 = d, -l + 16 = -0*d + x*d. What is the remainder when i(-7) is divided by d?
3
Let l = 1322 - 749. Calculate the remainder when l is divided by 96.
93
Let h(o) = -o - 3. Let a be h(-8). Suppose -s + a = -t + 2*s, s + 1 = t. Calculate the remainder when 38 is divided by t/10 - 630/(-50).
12
Let i be -3 + (4 - 2) - 8. Let m(k) = -k**2 - 10*k. Let a be m(i). Suppose h - a = 12. What is the remainder when 83 is divided by h?
20
Suppose 3*q + 130 = 4*r, r - 8 - 25 = q. Calculate the remainder when 90 is divided by r.
28
What is the remainder when 74 + -14 - (9 - 1) is divided by 27?
25
Let n = -19 - -34. Suppose -2*f + n = f. Suppose -8*o = -f*o - 72. What is the remainder when o is divided by 13?
11
Let l(i) = -i**3 - 3*i**2 - 2*i - 2. Let a be l(-3). Calculate the remainder when (4/(-3))/(4/(-18)) is divided by a/16 - 7/(-4).
0
Let x = -27 - -31. Suppose -4*s + 0*s = 4*b - 52, 0 = 2*b + x*s - 34. Suppose -k + 57 = -p, 0 =