2*z - 4 = -z - c, -5*c + 20 = 0. Let u be 1*(1 - z) + 2. Suppose -2 = -2*y - 3*g, 3*y + u*g - 14 = 4*g. What is the remainder when 14 is divided by y?
2
Let v = 2872 - 2175. Calculate the remainder when v is divided by 18.
13
Let i(l) = l - 2*l - 1 - 6*l + 0*l**2 - l**2. What is the remainder when ((-31)/2)/(2/(-4)) is divided by i(-4)?
9
Let r(t) = 19*t**2 - 18*t - 33. What is the remainder when r(-2) is divided by 22?
13
Let d(y) = y**3 - 43*y**2 + 52*y - 398. Suppose -p - 4*p - a = -648, 3*p + a - 388 = 0. Calculate the remainder when p is divided by d(42).
20
Suppose 17535 = 65*x - 16005. What is the remainder when x is divided by 173?
170
Let b(u) = 80*u - 543. Calculate the remainder when b(9) is divided by 90.
87
Let a(t) = t**2 + 4*t - 15. What is the remainder when 104 is divided by a(-9)?
14
Suppose 0 = 18*n + 145 - 217. What is the remainder when 64 is divided by n?
0
Suppose -2*t - 2*m + 24 = 0, 0 = m + m + 2. What is the remainder when 25 is divided by t?
12
Let a(n) = n**3 - 11*n**2 + 12*n - 15. Let h be a(10). Suppose 2*g - 83 = h. Let y = g - 12. Calculate the remainder when 127 is divided by y.
31
Let i be (-504)/40 + 6/10. Let t(v) = -v**3 - 9*v**2 + 30*v + 7. Calculate the remainder when t(i) is divided by 10.
9
Let m = -4 - -9. Suppose -122 = 2*v - 172. What is the remainder when v is divided by m?
0
Let x(y) = -2*y**2 + 21*y - 6. Let z be x(10). Calculate the remainder when 6 is divided by 1 - ((-2)/z)/((-3)/(-6)).
0
Suppose o - 10 = 11. Let a = 33 - o. Calculate the remainder when 34 is divided by a.
10
Suppose 5*h - 1160 = -4*p - p, 3*p = -4*h + 698. Suppose -2*l - 69 = -2*s - 5*l, -4*l - p = -5*s. What is the remainder when s is divided by 11?
9
Let z(c) = -55*c - 278. What is the remainder when 101 is divided by z(-6)?
49
Suppose 2*o = -18*x + 22*x - 1462, 5*x - 4*o - 1832 = 0. Calculate the remainder when x is divided by 37.
31
Calculate the remainder when 223 is divided by 70 - 14/21*-9.
71
Let n(f) = -f**3 - 4*f**2 + 4*f - 14. Let p be n(-6). Suppose -4*d + p = -2*d + 4*r, 0 = 3*d - 5*r - 51. Calculate the remainder when 81 is divided by d.
13
Suppose 0 = -p - 3*p + 2*p. Suppose p*t = -t - 1, 626 = 4*z + 2*t. Calculate the remainder when z is divided by 32.
29
Let x(t) = -21 - 3*t**3 - 14*t**2 + 5*t**2 + 4*t**2 + 2*t**3. Calculate the remainder when x(-6) is divided by 5.
0
Suppose 0 = -13*a + 894 + 3253. Calculate the remainder when a is divided by 23.
20
Let d = 72 + -7. Let k = d + -50. Suppose 0 = -3*h + 10 + 122. Calculate the remainder when h is divided by k.
14
Suppose x + 4*w = 0, 0 = 5*x - 3*w + 72 + 43. Let i be (-2)/9 - (-316)/(-36). Let z = i - x. What is the remainder when 19 is divided by z?
8
Suppose 0*v + 2*v = 0. Suppose -g - g + 4 = v. Suppose n - 5*m + m - 3 = 0, 0 = g*n - 3*m - 16. Calculate the remainder when 42 is divided by n.
9
Let d = -965 + 972. Calculate the remainder when 86 is divided by d.
2
Suppose p - 3*v = -4*v + 59, -v = -3*p + 185. Calculate the remainder when p is divided by 9.
7
Let r be ((-21)/(-6))/(-7)*0/2. Suppose -4*t + 19 = -1. Suppose r = -a + 4, 33 = t*j + a + a. Calculate the remainder when 13 is divided by j.
3
Let k be -3 - (-9)/3 - 4. Calculate the remainder when (k/(-8))/(2/100) is divided by ((-21)/(-15))/((-2)/(-10)).
4
Let a be (2/(-4))/(-5*5/(-150)). Let r(p) = p**3 + 6*p**2 + 4*p - 7. What is the remainder when 30 is divided by r(a)?
6
Suppose 139 = 3*n + 2*p, 5*n + 2*p - 90 = 3*n. Suppose 4*t = 3 + n. Let q(i) = 9*i + 9. Calculate the remainder when q(3) is divided by t.
10
Let u = -592 + 1001. Calculate the remainder when u is divided by 59.
55
Let z(t) = -3*t - 10. Let p be z(-4). Suppose r - 30 = -p*r. What is the remainder when 38 is divided by r?
8
Suppose -h = -2*h + 2. Suppose -3*d - h*z + 47 = 11, 4*d + 5*z - 41 = 0. Let j(n) = 2*n**3 + 9*n**2 - n + 5. Calculate the remainder when j(-4) is divided by d.
11
Calculate the remainder when 1310 is divided by (82/4*-3)/(108/(-72)).
39
Let j be 5 + 1 - 1*(2 + -2). Let w(v) = 2*v**2 - 9*v + 5. Calculate the remainder when w(j) is divided by 6.
5
Suppose 0 = -53*f + 7562 + 3515. What is the remainder when f is divided by 44?
33
Let j be 672/192 - (-3)/2. Let m(y) = 6 - 9*y - 3 - y**2 + 3*y**2. What is the remainder when 23 is divided by m(j)?
7
Let j = -10 - -14. Suppose 5*z + 20 + 25 = j*c, 5 = -2*c - 3*z. Suppose 0 = 3*n - n - 38. Calculate the remainder when n is divided by c.
4
Suppose a + 2 - 3 = 0. Let p = -6003 - -6004. Calculate the remainder when a is divided by p.
0
Suppose -6*d + 35 = -d. Suppose -8 = 4*f, 2*u + 46 = 4*u - 5*f. Calculate the remainder when u is divided by d.
4
Let p(b) = b + 11. What is the remainder when 38 is divided by p(11)?
16
Let h(y) = -y + 7. Let m be h(4). Suppose 0 = 2*v - 5 - m. Suppose 0 = 7*b - 3*b + 3*o - 87, -82 = -v*b - 2*o. What is the remainder when 69 is divided by b?
15
Let d be 39/5 - 20/(-100). Let i(w) be the second derivative of -w**4/12 + 3*w**3/2 + 13*w**2/2 + 3*w. What is the remainder when 82 is divided by i(d)?
19
Suppose -3*j - 116 = 2*y, 15 + 105 = -3*j - 3*y. Let h = -26 - j. Let f = -94 + 132. What is the remainder when f is divided by h?
8
Let f(m) = m + 14. Let u = -15 - -18. Calculate the remainder when (4/u)/((-22)/(-891)) is divided by f(0).
12
Let y(p) = p**2 + 9*p + 8. Calculate the remainder when 201/6 - 3/6 is divided by y(-10).
15
Suppose 2*c - 62 - 1 = m, 4*c = -2*m + 106. Let p = -6 + c. Let u = -10 + p. Calculate the remainder when u is divided by 5.
3
Suppose -31*y = -1001 - 3432. Calculate the remainder when y is divided by 16.
15
Let k = -129 + 134. Calculate the remainder when k*8/220 - 4154/(-22) is divided by 19.
18
Let r(q) = q**3 + 2*q**2 - 39*q + 31. What is the remainder when r(6) is divided by 11?
8
Suppose -56 = -3*d - 4*s, 83 = 4*d + 5*s - 8*s. Suppose -2 = -2*g + d. What is the remainder when 107 is divided by g?
8
Suppose 3*u + 318 = 42. Let i = u - -130. Let b = -27 - -47. What is the remainder when i is divided by b?
18
Suppose -9 = -2*u - u. Suppose -u*w + 286 + 92 = 0. Suppose -3*j + 2*y + w = 26, y = j - 33. Calculate the remainder when j is divided by 9.
7
Let f = 226 - 188. What is the remainder when 110 is divided by f?
34
Let d = 704 - 480. What is the remainder when d is divided by 15?
14
Let p(v) = -35*v + 16. Let x be p(-4). Suppose -9*k = -7*k - x. Calculate the remainder when k is divided by 16.
14
Let w(g) = -g**3 + 10*g**2 - 22*g - 8. What is the remainder when 36 is divided by w(5)?
1
Let c = -82 - -166. Suppose -s - 4*i = -c, 6*i = 5*s + 3*i - 374. Let h(b) = 26*b**2 + b + 1. Calculate the remainder when s is divided by h(-1).
24
Suppose 300 = 3*r - 15. Calculate the remainder when r is divided by 9.
6
Suppose -34*d + 248 = -26*d. Let k be (6/(-4))/(3/(-8)). Suppose k*v - t = t + 46, v = -2*t + 9. Calculate the remainder when d is divided by v.
9
Suppose -2*o - 66 = -2. Suppose -g - 8 = g, -2*g = 2*y. What is the remainder when (-1)/y + (-808)/o is divided by 9?
7
Let t(v) = -v**2 + 5*v + 4. Let u be t(5). Suppose u*h - 111 = -3*q, -83 - 40 = -4*q + 3*h. What is the remainder when 96 is divided by q?
30
Suppose 0 = -r - 2*r. Calculate the remainder when 31/(-62) - ((-46)/4 + r) is divided by 3.
2
Let k(h) = -h**3 - 5*h**2 + 4. What is the remainder when -19*(6/(-6) - 0/1) is divided by k(-5)?
3
Suppose 0 = 5*w + 20, 5*k - 42 = 3*w + 55. Calculate the remainder when 40 is divided by k.
6
Let x be -1 - 10/(3 + -5). Suppose 2*q - 5*t = -3, x*t = -2*q + 30 - 6. Suppose -5*a = -6 - 4. What is the remainder when q is divided by a?
0
Suppose k + 2*g - 66 = 0, 2*k - 2*g - 190 = -k. Suppose -5 = -k*h + 63*h. Calculate the remainder when 9 is divided by h.
4
Let k(d) = 25*d + 193. Let g = -128 + 192. Calculate the remainder when g is divided by k(-7).
10
Suppose -80*w + 75*w = -1505. What is the remainder when w is divided by 70?
21
Suppose -390 = -5*m + 8*m. Let h = m + 194. Calculate the remainder when h is divided by 17.
13
Suppose 21*t - 64*t + 1634 = 0. What is the remainder when 871 is divided by t?
35
Suppose 0 = 7*f - 4*f - 9. Let o be 5 + -3 - (21 + -2). Let d = 25 + o. Calculate the remainder when d is divided by f.
2
Let w be (-259)/(-9) + 2/9. Let f = w + -59. Calculate the remainder when 92 is divid