y 12?
11
Suppose -5*d - 30 = -5*y, 4*d + 3*y + 22 = 2*d. Calculate the remainder when 3/(-2)*50/(-15) is divided by 95/76 - 6/d.
1
Suppose 0 = 5*f + 5 - 15. Suppose -10 = -f*m - 4*g + 20, -5*m + 5*g = -105. Calculate the remainder when 69 is divided by m.
12
Suppose 3*a - 46 = a. Suppose -7*p - 7*p = -56. Let x = p + a. What is the remainder when x is divided by 15?
12
Suppose 19 = 4*g + 5*x, 0 = 5*g + 4*x - 10 - 25. Let q = 20 - g. Calculate the remainder when (22/(-3))/(16/(-48)) is divided by q.
4
Let w = -161 - -202. What is the remainder when 41 is divided by w?
0
Let i = 70 + -37. What is the remainder when 194 is divided by i?
29
Let o = 61 - 33. Suppose 0 = g + 2, -3*g = 6*n - 7*n + 86. Calculate the remainder when n is divided by o.
24
Suppose 2*a = 4 + 2, -3*a = -3*c + 246. Suppose -3*f = 2*f - c. What is the remainder when 100 is divided by f?
15
Calculate the remainder when 261 + 7 + (8 - 5) is divided by 68.
67
Let x = -56 - -146. Calculate the remainder when x is divided by 8/10*-9*100/(-15).
42
Suppose q - 4 = 1. Let b(h) = 4*h**2 - 3*h + 15. Calculate the remainder when b(q) is divided by 34.
32
Suppose -5 = -3*s - 2*s. Let h(l) = 9*l**3 + l**2. Suppose -c + 4*n + 35 = 0, 5*c - 9*n = -11*n + 131. Calculate the remainder when c is divided by h(s).
7
Suppose -13 = -4*o + 2*t + 5, 24 = 5*o - 3*t. Suppose -o*c + 94 = 4*v - 6, 4*v - 92 = -c. What is the remainder when v is divided by 12?
10
Suppose 0 = -3*c - 7 + 16. Suppose c*l - l - 18 = 0. Suppose -9*i + 208 = -i. Calculate the remainder when i is divided by l.
8
Let q = 8 + 1. Let c(v) = v**3 - 10*v**2 + 9*v + 7. Let m be c(q). Suppose -3*r - 32 = -m*r. What is the remainder when 31 is divided by r?
7
Suppose 296 = -29*s + 31*s. Let w = s - 85. Suppose 177 + 8 = 5*v - 4*a, -3*a = -4*v + 147. Calculate the remainder when w is divided by v.
30
Let l(j) = -6*j - 1. Let h be l(-1). Suppose -70 = -2*n - 3*n - s, 0 = -n + h*s - 12. Let q(c) = 3*c - 35. Calculate the remainder when q(20) is divided by n.
12
Let m be (-6)/(-15) - (-9)/(45/(-2)). Calculate the remainder when m + 42 + 6/2 is divided by 13.
6
Let s(n) = -29*n - 20. Calculate the remainder when s(-14) is divided by 39.
35
Suppose 0 = -4*o + 834 + 1558. Suppose -7*u + 452 = -o. Suppose -4*i = -9*i + u. What is the remainder when i is divided by 16?
14
Suppose 5*f - x - 68 = 0, -2*x + 80 = 5*f - 7*x. Let y = 23 - f. Suppose 24*a = 17*a + 189. Calculate the remainder when a is divided by y.
7
Suppose -4 = -5*u + 2*n - 0, 2*u + n - 7 = 0. Calculate the remainder when 175 is divided by (12/u)/3 - (-1 + -8).
10
Let s = 25 - 10. Suppose -5*y = s, -4*q + y = -60 - 31. Calculate the remainder when 3 is divided by ((-3)/(-2))/(11/q).
0
Suppose 65*w - 66*w = -6. Suppose -4 = 5*q - x, 2*x = -3 + 1. Calculate the remainder when (46/(-8))/(q/4) is divided by w.
5
Calculate the remainder when (-2144)/(-20) - 1/5 is divided by 17.
5
Suppose 7*a = 14*a - 1162. Calculate the remainder when a is divided by 24.
22
Let z(m) = -31*m + 0 - 2 + 51*m. What is the remainder when 53 is divided by z(1)?
17
Let c(x) = x**3 + 2*x**2 - 6*x - 6. Let g be c(-4). Let y be (-284)/3*147/g. What is the remainder when 86 is divided by 3/5 + y/35?
28
Let s(a) = 13*a**2 - a. Suppose 0 = 3*i - n - 38, 0 = 5*i - 2*n + 5*n - 68. Let q = 1 + i. Calculate the remainder when s(-2) is divided by q.
12
Suppose 148*p - 154*p + 888 = 0. What is the remainder when p is divided by 33?
16
Suppose 32*x - 5*x - 270 = 0. Calculate the remainder when 58 is divided by x.
8
Let d(p) = p + 1. Let o(m) be the third derivative of m**4/24 + m**3/6 + 5*m**2. Let u(t) = 4*d(t) - 2*o(t). Calculate the remainder when 26 is divided by u(6).
12
Let b(z) = 2*z**2 - 13*z - 83. Calculate the remainder when 88 is divided by b(-5).
24
Suppose 0 = -g - 4, 0 = -2*r + 5*g + 47 + 1. Suppose 2*f - 92 = -k, 2*f + 2*k = -7 + 95. Calculate the remainder when f is divided by r.
6
Let q = 1579 - 1557. Let f(h) = 2*h**2 + 4*h - 3. Calculate the remainder when q is divided by f(-4).
9
Let z(g) = -g - 1. Let d be z(-3). Let t = -50386 + 50393. Calculate the remainder when t is divided by (-3)/(-2) + d/4.
1
Let z = 325 + -193. What is the remainder when z is divided by 27?
24
Let n(u) = -3*u**2 + 6*u + 1. Let b be n(3). Let j(i) = -i**2 - 12*i - 10. Calculate the remainder when j(b) is divided by 13.
9
Let m = -30 - -45. Let l = m + 1. What is the remainder when l is divided by 6?
4
Let r(q) = -2*q**3 + 5*q**2 + 3. Let o be r(5). Let l = -70 - o. Let m = 39 + -21. What is the remainder when l is divided by m?
16
Calculate the remainder when 228 is divided by (-335)/(-4) + (-2)/72*-9.
60
Suppose -204 = -3*u - u. Let r be ((1377/12)/9)/(3/8). Let i = u - r. What is the remainder when 67 is divided by i?
16
Let b(c) = 9*c + 1. Let k be b(1). Suppose -i + k = -8. Let n = i + -3. Calculate the remainder when 58 is divided by n.
13
Suppose -21*s + 1424 = -18*s - 2*z, -6 = -3*z. Calculate the remainder when s is divided by 125.
101
Let z(a) = 4*a - 16. Suppose -5*g = -3*c + 24, -5*c + 7*c = 2*g + 20. Calculate the remainder when c is divided by z(5).
1
What is the remainder when 9/((-45)/5)*-189 is divided by 11?
2
Suppose 6*s = 2*s + 112. What is the remainder when 53 is divided by s?
25
Suppose -h = -3*s + 3 - 37, -5*h - 4*s = -94. What is the remainder when 218*(2 - 24/16) is divided by h?
21
Let z(t) = 12*t**3 - t**2 + t. Let s = -3 + 4. What is the remainder when 55 is divided by z(s)?
7
Suppose -50*b - 252 = -53*b. Calculate the remainder when b is divided by 15.
9
Suppose 0 = b - 4*a + 10, -2*a - a = -4*b - 14. Let h = b - -57. What is the remainder when h is divided by 15?
10
Suppose -2*t + a = -7, -2*a + 19 = 2*t - 7*a. Calculate the remainder when 3 is divided by t.
1
Suppose 2*s + 752 = 776. What is the remainder when 107 is divided by s?
11
Let h(l) = l**3 + 8*l**2 - 3*l - 6. Let t(v) = v**2 - 7*v + 10. Calculate the remainder when h(-8) is divided by t(6).
2
Calculate the remainder when 9*(8 - -4 - 7) is divided by 38.
7
Let l(g) = 3*g - 5 - 4 - 11 - 2*g**2. Let b(z) = z**2 - z + 10. Let h(k) = -11*b(k) - 6*l(k). What is the remainder when 53 is divided by h(8)?
17
What is the remainder when 764 is divided by (189/(-28))/((-9)/12)?
8
Suppose 2*n - 4 = -4*m, -2*m - 2 = -2*n + 2. What is the remainder when 7 is divided by n?
1
Suppose -5*b - 12 = -2*z + 144, -3*b + 192 = 3*z. What is the remainder when z is divided by 9?
5
Let z = 9 + 2. Suppose -4*u = -5*b + 2*b - 155, -3*b - 196 = -5*u. Calculate the remainder when u is divided by z.
8
Let y = 144 - 277. What is the remainder when (-1)/2 - y/14 is divided by 4?
1
Suppose 0 = -24*c + 323 - 35. What is the remainder when 21 is divided by c?
9
Let l(g) = -2*g - 13. Let v(h) = 2*h**2 - 15. Suppose -q + 6*q = 0. Let j be v(q). Calculate the remainder when 32 is divided by l(j).
15
What is the remainder when 21 is divided by (5 - -1)/(12/40)?
1
What is the remainder when 119 is divided by (-10)/2 + (13 - (3 - 0))?
4
Let g be 3/(-5) - (-18)/5. Suppose -5*q = 4*o - 67, -9 - 21 = -3*o + g*q. Calculate the remainder when o is divided by 7.
6
Suppose 0 = -93*w + 88*w + 335. Let d = w + -57. Suppose 3*k + 5*y - 59 = 31, 0 = -3*k + 5*y + 60. Calculate the remainder when k is divided by d.
5
Suppose -59*q + 1060 = -79180. Calculate the remainder when q is divided by 29.
26
What is the remainder when 232 is divided by (-3759)/(-147) - 6/(-14)?
24
Suppose -4*t + 50 + 58 = 0. Suppose 2*j = -x + 2 + 1, 0 = 4*j - 5*x - t. Suppose j = u, k + 105 = 3*k + u. What is the remainder when k is divided by 11?
7
Let m = -52 - -93. What is the remainder when 160 is divided by m?
37
Let v = 58 + -41. What is the remainder when 66 is divided by v?
15
Suppose 4*n - 42 = 3*n. Calculate the remainder when n is divided by 24.
18
Let b(j) = -7*j - 16. Suppose 79*l = 81*l - 4. What is the remainder when b(-3) is divided by l?
1
Suppose 43 - 1 = 3*u. Suppose -4*z + 4*j + 32 = j, 4*z - 24 = j. Suppose -2*l - 2*b + 108 = 0, 0*b - z = 5*b. Calculate the remainder when l is divided by u.
13
Let l(q) be the first derivative of -q**4/4 + 11*q**3/3 + 17*q**2/2 - 5*q - 16. Let m = -18 - -30. Calculate the remainder when l(m) is divided by 19.
17
Suppose -2*u + 5*z + 26 = -0*u, 3*z = 0. Let q(c)