the remainder when y(7) is divided by 5.
2
Let v = -758 - -939. What is the remainder when v is divided by 58?
7
Suppose 7*d - 4*f - 331 = 2*d, 3*f + 327 = 5*d. Suppose -2*p - 5*p + d = 0. Calculate the remainder when 53 is divided by p.
8
Let f = -42 + 72. Let h be (72/21)/(3/21). Suppose 3*w = -2*x + 24, 3*x - 8*x - h = -3*w. Calculate the remainder when f is divided by w.
6
Let i = -143 + 257. Calculate the remainder when i is divided by 62.
52
Let a = -195 + 198. What is the remainder when 62 is divided by a?
2
Let l(p) = p**3 + 13*p**2 - 2*p + 14. Calculate the remainder when l(-8) is divided by 8.
6
Let q = 0 - -8. Suppose -4*m = -12 - q. What is the remainder when 4*51/24*2 is divided by m?
2
Calculate the remainder when ((-6600)/(-750))/((-2)/(-5)) is divided by 6.
4
Suppose 0 = -x + 18 - 7. Let t(c) = -c**3 + 5*c**2 - 3*c + 6. Let w be t(4). Let r = 39 - w. What is the remainder when r is divided by x?
7
Let n be 5 + -1 - (2 - 0). Suppose -9 = 2*k - 13. Suppose -k*j + 156 = n*j. What is the remainder when j is divided by 14?
11
Suppose 6*a - 7*a = 1. Let v = 5 + 62. What is the remainder when v is divided by ((-115)/(-20))/(a/(-4))?
21
Let d = -129 - -130. Suppose 0 = -3*k + 6. Calculate the remainder when k/7 - 36/(-21) is divided by d.
0
Let h(l) = 7*l**3 - 4*l**2 - 17*l - 7. What is the remainder when h(6) is divided by 28?
27
Let x(s) = -2*s + 55. Let v be x(0). Suppose -5*k - 3*l = -v, -k - 4*k + 55 = -3*l. What is the remainder when 32 is divided by k?
10
What is the remainder when (-550)/(-55) - (0 - 561) is divided by 22?
21
Suppose -5*a = -d + 20, -4*a = a + 2*d + 5. Let q(k) = k - 4. Let i be q(7). Calculate the remainder when (-69)/(-3) - (i + a) is divided by 13.
10
Let n = -738 - -1071. What is the remainder when n is divided by 14?
11
Let i(u) = 32*u**3 + 1. Let m be 2*8/(48/(-9)). Let c = m - -10. Calculate the remainder when i(1) is divided by c.
5
Let j(i) = 2*i**3 - 74*i**2 + 17*i - 10. Calculate the remainder when j(37) is divided by 23.
21
Let o = 260 + -202. Calculate the remainder when 461 is divided by o.
55
Let x(w) = w**2 - 2*w + 3. What is the remainder when ((-3)/(9/30))/(8/(-16)) is divided by x(4)?
9
Let q(b) = 34*b - 258. What is the remainder when 195 is divided by q(8)?
13
Suppose 0 = -9*f + 40 + 149. Suppose 5*k + 5*i = 2*k - 26, 8 = 4*k - 4*i. Let b(p) = -4*p - 2. Calculate the remainder when f is divided by b(k).
3
Suppose -3*d - 26 = -83. Calculate the remainder when -1*(37*4)/(-2) is divided by d.
17
Suppose -10 = 2*a - 4*a. Suppose -73 - 32 = -a*u. What is the remainder when u is divided by 12?
9
Calculate the remainder when (0 + -5)*1872/(-195) is divided by 3.
0
Let q = 56 - 58. Let d(j) = 4*j**2 + 4*j + 1. Calculate the remainder when 16 is divided by d(q).
7
Suppose 63*q - 1139 = -38*q + 34*q. Let m = 3 - 7. Let l(f) = 3*f**2 - 5*f - 2. What is the remainder when l(m) is divided by q?
15
Suppose -2*u = -9*u + 385. Let b = u - 49. What is the remainder when 34 is divided by b?
4
Suppose -3*t = 7*d - 2*d - 32, -2*d + 12 = t. Suppose -3*s + 4 = -2. Suppose -s*m - 10 = -t*m. Calculate the remainder when 18 is divided by m.
3
Let w(o) = 40*o + 3. Let y = 7 - -7. Suppose 0 = -2*n + y + 16. What is the remainder when w(1) is divided by n?
13
Let l(a) = a**3 - a + 32. Suppose t - 2*o = 7, -4*t + 50 + 14 = 4*o. Calculate the remainder when l(0) is divided by t.
6
Suppose -7 = y - 2*y. Calculate the remainder when y is divided by (55/(-22) - -3)*10.
2
Let u(z) be the third derivative of 0 + 13/24*z**4 + 1/60*z**5 + 0*z + 2*z**2 - 5/6*z**3. Calculate the remainder when 24 is divided by u(-14).
6
Let r(o) be the third derivative of o**5/60 + 11*o**4/24 + o**3/2 + 15*o**2. Let t(a) = 7*a + 1. What is the remainder when r(-12) is divided by t(1)?
7
Let z(r) = r**2 + 15*r - 14. Calculate the remainder when z(10) is divided by 82.
72
Suppose 402 = 81*q - 408. What is the remainder when 157 is divided by q?
7
Suppose 708 = 5*d + 3*t, 3*d - 2*d - 5*t - 164 = 0. Calculate the remainder when d is divided by 30.
24
Suppose 2*l - 11 = -4*v - l, 5*l = 3*v - 1. What is the remainder when v/(-2)*(-3 + 584/(-4)) is divided by 38?
35
Let p = 20 + 0. Suppose -2*d = -6*d + 48. What is the remainder when (231/d)/(5/p) is divided by 26?
25
Suppose 9*k + 4 = 11*k, 3*o + 3*k = -27. Calculate the remainder when 40 is divided by 30*(o/(-2) + -5).
10
What is the remainder when 125 is divided by (122/(-8))/(-2 + 49/28)?
3
Let i(q) = q**3 + 2*q**2 - 7*q + 5. Let g(z) = -z**2 + 4*z + 8. Calculate the remainder when i(2) is divided by g(5).
1
Let h = 268 + -219. Calculate the remainder when h is divided by 9.
4
Suppose 3*k = 2*r + 8, -4*k = -r - 7 - 2. Let w be r - (0/1)/2. Calculate the remainder when 41 is divided by (14/(-5))/(w/5).
13
Suppose 5*m - 2*h - 12 = -3*h, -6 = -2*m - h. Suppose -i + m*i - 58 = 0. Let k(y) = 4*y - 1. What is the remainder when i is divided by k(4)?
13
Let z(q) = q**2 + 12*q + 12. What is the remainder when 53 is divided by z(-12)?
5
Let v(d) = -d**3 - d**2 + 4*d + 8. Suppose 0 = 62*u - 52*u - 140. What is the remainder when u is divided by v(-2)?
2
Let h(g) = g**3 - 5*g**2 - 7*g - 58. Calculate the remainder when h(10) is divided by 54.
48
Suppose 0 = 4*r - 20, 3*h + 5*r - 156 = 2*r. Calculate the remainder when h is divided by 4*3 - (0 + 0).
11
Suppose -8 = 4*i, -4*z - 18*i + 76 = -22*i. Calculate the remainder when z is divided by 1/(-3) + (-31)/(-3).
7
Suppose -29 = -0*z - z - 3*o, 3*o = 2*z - 13. Suppose 4*p + 2*x = 2*p, 5*p - 2*x = -z. Calculate the remainder when (-1 + 2 + p)*-15 is divided by 7.
1
Let o(j) = j**3 - 16*j**2 + 6*j + 149. Suppose 0 = -2*z + 91 - 11. What is the remainder when z is divided by o(15)?
12
Let k = 10 + -3. Let r(w) = w - 10. Let d be r(k). What is the remainder when 65 is divided by 19 - (1 + -1 + d)?
21
Let i be (-58)/(-7) - 2/7. Let r(v) = v + 2. Let f be r(1). Let a = i - f. Calculate the remainder when a is divided by 2.
1
Let d(u) = -u + 4. Let c be d(-10). Let j = c + 1. What is the remainder when (15 - 12)/((-1)/(-9)) is divided by j?
12
Suppose 3*i - 4*o - 52 = o, 2*o = -4*i + 78. Calculate the remainder when 320 is divided by i.
16
Let i be (-245)/(-28) + (-2)/(-8). Let l = 46 + i. Calculate the remainder when l is divided by 14.
13
Calculate the remainder when 12 is divided by (-8)/68 - 1548/(-153).
2
Let s(w) = 5*w - 7*w + 1 + 3*w**2 + 2. Let y be s(1). Suppose -63 = -y*r + 97. Calculate the remainder when r is divided by 21.
19
Suppose 2*h = 5*h + 30. Let y = 18 - h. Let l = -8 + y. What is the remainder when 79 is divided by l?
19
Let z(l) = 3*l + l + 2 + l - 3*l. What is the remainder when z(9) is divided by 7?
6
Let g(i) = i**3 + 9*i**2 + 17*i + 6. Calculate the remainder when 39 is divided by g(-5).
18
Let c(t) = 25*t + 11. What is the remainder when c(1) is divided by 8?
4
What is the remainder when 1978 is divided by (-13)/((-91)/(-770))*6/(-15)?
42
Let l = -164 + 193. Calculate the remainder when l is divided by 21.
8
Suppose -5*i = c - 45, 4*c + 5*i - 3*i = 252. Calculate the remainder when c is divided by 39.
26
Let v = 195 + -179. Calculate the remainder when 78 is divided by v.
14
Suppose c = -4*o - c - 120, -148 = 5*o + 3*c. Suppose 0 = -5*r - 70 - 10. Let b = r - o. Calculate the remainder when b is divided by 6.
4
Suppose -4*y - 215 = -5*z, z - 43*y + 38*y = 43. Let u(d) = 2*d**3 - 3*d**2 - 2*d + 1. Calculate the remainder when z is divided by u(3).
21
Suppose -2*a - 5*k - 1916 = -6*a, -479 = -a - 4*k. Calculate the remainder when a is divided by 40.
39
Suppose -5*h + 29 = 4*b - 42, -87 = -3*b + 3*h. Let w be (-170)/(-6) + 16/b. Let x = 1 + w. Calculate the remainder when x is divided by 11.
8
Let w(n) = 3*n**2 - 17*n - 2. Let m be w(8). Let b = m - 39. What is the remainder when b is divided by 9?
6
Suppose -10 = -2*x, 2*x = 13*u - 11*u - 534. What is the remainder when u is divided by 11?
8
Let m = 274 - 233. Calculate the remainder when 83 is divided by m.
1
Let g be (-2)/(-9) - (-204)/54. Suppose -g*y = -3*j - 61, 14 = -y + 3*y + 4*j. Suppose -8*x + y = -7*x. Calculate the remainder when 62 is divided by x.
10
Let a = -16 - -27. Let j(d) = 3*d**3 + 3*d**2 + 4*d + 2. Let g be j(-2). Let i = 3 - g. What is the remainder when i is divided 