8. Calculate the remainder when 2104/p - (-2)/17 is divided by a(10).
18
Suppose 4*b + 2*v - 4*v - 46 = 0, -v = 3*b - 22. Suppose -166 = -5*i - 4*m + m, 73 = 2*i - m. Calculate the remainder when i is divided by b.
8
Suppose 9*j - 108 - 54 = 0. Suppose 4*o - 54 = j. What is the remainder when 63 is divided by o?
9
Suppose -18*q = 7*q - 675. Calculate the remainder when 159 is divided by q.
24
Let m = 1073 + -1070. What is the remainder when (0 - -1)*0 - -4 is divided by m?
1
Let c = -3 - -29. Suppose 5*i - 3*i = c. What is the remainder when 450/6*(-4)/(-6) is divided by i?
11
Suppose 73 + 7 = 5*v. Suppose v*h - 22 = 170. Let g(f) = f**3 + 6*f**2 - 3*f + 1. What is the remainder when g(-4) is divided by h?
9
Let c(r) = -3*r - 15. Let m be c(-6). Suppose 2*i = -m*i. Suppose i*j + 48 = 3*j. Calculate the remainder when 45 is divided by j.
13
Let i = -286 - -301. What is the remainder when 74 is divided by i?
14
Suppose -5*r = -712 - 58. Calculate the remainder when r is divided by 39.
37
Let m(x) = x. Let f be m(-4). Let d be (-12)/f - (-2)/(-2). Suppose 0 = -2*t + 2*z - z + 91, 3*t - 133 = -d*z. What is the remainder when t is divided by 16?
13
Let y(h) = 104*h - 106. What is the remainder when y(9) is divided by 16?
14
Let u = -4 + 19. Suppose -o = -4*o + u. Let n = -106 + 108. What is the remainder when o is divided by n?
1
Suppose 13*b + 190 = 18*b - 2*c, -5*c = -25. Calculate the remainder when b is divided by 28.
12
Suppose -8*x + 2*x + 420 = 0. What is the remainder when 208 is divided by x?
68
Let x be ((-100)/8)/5*-2. Suppose -w = y - 8, x*w - 2*y - 52 = -y. Suppose 0 = -4*z + w + 26. What is the remainder when z is divided by 6?
3
Suppose -3*o + 9 = -18. Let s = o - -1. Let x = -21 + 48. Calculate the remainder when x is divided by s.
7
Suppose 0 = -2*h - h + 6. Suppose f + 2*o - 74 = 0, f - h*f + 81 = -5*o. Let s = f + -36. What is the remainder when s is divided by 14?
12
Suppose 79 = 5*z + 4. Let j = 30 - z. Let n = 101 - 59. Calculate the remainder when n is divided by j.
12
Let y = 479 - 284. Calculate the remainder when y is divided by 20.
15
Suppose -4*n + m + 168 = 0, 3*n + 3*m - m = 137. What is the remainder when 684 is divided by n?
39
Suppose -3*f = 4*j - 2*j - 150, 4*f + 4*j - 196 = 0. Calculate the remainder when f is divided by 31 + 1 + (-4 - -1).
23
Let p(r) = -r**3 + 6*r**2 - 6*r. Let d be p(4). Let z = d - -66. Calculate the remainder when z is divided by 13.
9
Suppose -5*x - 9 = -6*x. Suppose x*p - 87 = -24. What is the remainder when 31 is divided by p?
3
Calculate the remainder when 58 is divided by -4*(-1)/(5 + -4 + 0).
2
Let r be ((-2)/3)/(16/744). Let s = r + 36. Calculate the remainder when 12 is divided by s.
2
Suppose -2*i = 8 - 36. Let c(v) = -v**2 + 16*v + 14. What is the remainder when c(i) is divided by 9?
6
Let r(x) = -2*x - 1. Suppose -3*g = -2*s + 71, 3*s - 108 = 12*g - 7*g. What is the remainder when s is divided by r(-6)?
9
Suppose -404 = -27*z + 298. Suppose n = r + 45, -2*n = 2*r - 57 - 49. What is the remainder when n is divided by z?
23
Let p(i) = i**2 + 5*i - 5. Let k be p(-5). Let l = 7 - k. Suppose 0 = -3*b - 3, -t + 9 = -2*b - 0. Calculate the remainder when l is divided by t.
5
Let v(f) = f + 3. Let l(i) = 4*i**2 - i - 29. What is the remainder when v(3) is divided by l(3)?
2
Calculate the remainder when 568 + 10/(-5) - 6/(-1) is divided by 20.
12
Let y(l) = -l**2 - 6*l + 1. Let f be y(-5). Suppose -127 = -f*i + 269. Let u(b) = 4*b - 3. Calculate the remainder when i is divided by u(5).
15
Let l(o) = 7*o + 25. Calculate the remainder when l(7) is divided by 25.
24
Let s(o) = o**2 - 13*o - 17. Let r = -21 + 26. Suppose 0*m = -2*m - 8, -r*y + 91 = -4*m. Calculate the remainder when s(y) is divided by 4.
1
Let w be (-1808)/(-24) - 2/6. Suppose -w*o + 81*o = 126. What is the remainder when 124 is divided by o?
19
Let k(s) = s - 6. Let n be k(9). Suppose n*t = t + 5*g + 84, t - 45 = g. Calculate the remainder when t is divided by 24.
23
Suppose -m = -10*m + 198. Suppose -4*p + 6 = -m. What is the remainder when 13 is divided by p?
6
Suppose -4*t + 4*i = -232, 191*i + 12 = 187*i. Calculate the remainder when 107 is divided by t.
52
Suppose 12189 = 29*a - 977. What is the remainder when a is divided by 91?
90
Let g(c) = -14*c**2 - 30 + 10*c + 6*c - 25*c**3 + 10*c**3 + 16*c**3. What is the remainder when 14 is divided by g(13)?
5
Suppose 291 + 268 = 13*c. Calculate the remainder when 81 is divided by c.
38
Suppose -3*u - 9 = 4*o + 3, -15 = 5*o - 5*u. Let c be 14/(-21) + (-20)/o. What is the remainder when -7*(-3)/(c/2) is divided by 4?
3
Let n(z) = -z**3 + 17*z**2 + 23*z - 22. Let i(s) = -17*s + 1. Let g be ((-1)/(-2))/((-1)/2). Let w be i(g). What is the remainder when n(w) is divided by 18?
14
What is the remainder when (((-40)/8)/25)/(3/(-870)) is divided by 18?
4
Let n(y) = y**2 + 10*y + 31. Let w be n(-7). Calculate the remainder when (-2 + 15/w)*-186 is divided by 16.
13
Suppose 0 = n - 3*n + 4. Calculate the remainder when 2/1*(-5 + 10) is divided by n.
0
Let q(c) = -5*c. Suppose -2 = 5*k + 3. Let m = -13 + 25. Calculate the remainder when m is divided by q(k).
2
Let z be 6/(-4) - (-1)/2. What is the remainder when 26/(z*4/(-10)) is divided by 17?
14
Let q = -27 + 53. Let a be (32/(-24))/(2/(-27)). Calculate the remainder when 5 - 1 - -4*a is divided by q.
24
Let m(p) = p**3 + 3*p**2 - p - 1. Let n be m(-2). Suppose j - 3*x = -7*x - n, -20 = 5*x. Calculate the remainder when j is divided by 9.
2
Let d(m) = 19*m**3 - 2*m**2 + m. Let b be 65 - -1 - ((-3 - 5) + 6). Let r = 118 - b. Calculate the remainder when r is divided by d(1).
14
Suppose -h = -4*k, 3*h + 2*k - 22 = 3*k. What is the remainder when 42 is divided by h?
2
Suppose 0*r - 3*r - 2*i = -76, 2*r - 69 = -5*i. Suppose 4*o = -5*q + 73, -o + 5*q = 6*q - 17. Calculate the remainder when r is divided by o.
10
Suppose -22 = -5*t + 13. Suppose l + 3 = t, -3*l - 47 = -y. What is the remainder when y is divided by 15?
14
Let n be (-318)/(-4) - (9/6 - 0). Let y = 85 - n. What is the remainder when 46 is divided by y?
4
Let c be 0/(2/(3 - 1)). Suppose 5*j - 133 = y, 3*j + c*j = 4*y + 73. Calculate the remainder when 134 is divided by j.
26
Let m = -45 - -122. Suppose 24*x - 52 = -13*x + 35*x. What is the remainder when m is divided by x?
25
Suppose 0*a + a - 3*s - 11 = 0, s + 9 = a. Suppose 0 = -4*r + 3*r + a. Calculate the remainder when r is divided by (-4 - 4)*1/(-4).
0
Let d(v) = -4*v - 9. Let n be d(-4). Let t(w) = w**2 - 3*w + 29. Calculate the remainder when t(n) is divided by 30 - (-1)/(1*-1).
28
Suppose 5*y - 60 = y. Let b = 40 - y. Calculate the remainder when b is divided by 7.
4
Let g(k) = -3*k - 9. Let h be g(-13). Suppose 2*c = -2 + h. Calculate the remainder when 41 is divided by c.
13
Let x(w) = -w**2 + 15*w - 1. Let f be x(12). What is the remainder when 67 is divided by 4*14/f*(14 - -1)?
19
Let g = -969 + 1025. Calculate the remainder when 76 is divided by g.
20
Suppose 4*h + 35 = 5*h. Suppose -q - 16 = -h. Calculate the remainder when 75 is divided by q.
18
Let t(d) = -d**3 + 8*d**2 - 3*d - 2. What is the remainder when 131 is divided by t(7)?
1
Let n(h) = -5*h**3 - h**2 - 2*h + 20. What is the remainder when n(-4) is divided by 109?
5
Let u(n) = -15*n**2 + 135*n + 36. Let t(h) = 89*h + 1. Calculate the remainder when t(2) is divided by u(9).
35
Let h(u) = 24*u - 20. Let v be h(-10). Calculate the remainder when 51 is divided by (4/10)/((-4)/v).
25
Let v(g) = g**2 - 7*g - 6. Let b(n) = 3*n**2 + 3*n + 3. Let k be b(-2). What is the remainder when 46 is divided by v(k)?
10
Let q be 1/6 + (-4)/24. Let y be q/(3 - 0) - 4. Let w = 18 - y. Calculate the remainder when 108 is divided by w.
20
Suppose 7*b - 5*b - 16 = 0. Suppose -b = -3*o + 1. Suppose 2*j + 128 = 2*h, o*h - 246 = j - 64. Calculate the remainder when h is divided by 20.
19
Suppose r + 0*r - 35 = 0. Suppose -j = 2*h - 36, 5*h - 4*j - 140 = -24. Let w = r - h. Calculate the remainder when w is divided by 9.
6
Let a(p) = -p**3 + 7*p**2 + 20*p - 3. What is the remainder when 28 is divided by a(9)?
13
Suppose 3*o - 4*h = 20, -5*h + 2 = 12. Let m(i) = i**3 - 2*i**2 - 5. Calculate the remainder when 51 is divided by m(o).
24
Suppose -9*y + 15 = -4*y. Suppose k + 6 = y*k.