 Calculate the remainder when d(-4) is divided by m.
5
Let t = -12 + 26. Suppose -2*j = 3*y - 65, -8*j + 6*j + 5*y + 105 = 0. Calculate the remainder when j is divided by t.
12
Calculate the remainder when 994/18 - (-16)/(-72) is divided by 19.
17
Let j(t) = -4*t + 1. Let q be j(-1). Suppose 5*n = 5*l - 130, -q*l - n + 120 = 4*n. Calculate the remainder when l is divided by (2*2)/(-2) + 11.
7
Let n = 15 - 10. Let w = n - -4. What is the remainder when 15 is divided by w?
6
Suppose m + 7 = -0*m. Let r = m + 13. What is the remainder when 16 is divided by r?
4
Calculate the remainder when 46 is divided by ((-204)/(-18) - -2)/(4/6).
6
Suppose 2*g - 10 = 0, 0*q = -4*q - 3*g + 95. Suppose -2*h = h + 21. Let j = h + q. What is the remainder when 25 is divided by j?
12
Let q = -92 + 121. What is the remainder when q is divided by 17?
12
Let h(d) = 1. Let s(u) = -5*u + 6. Let i(a) = 6*h(a) + 2*s(a). Calculate the remainder when i(-8) is divided by 25.
23
Suppose 7*v - 2*v + 50 = 0. Let t = 31 + v. Let z = -5 + t. What is the remainder when z is divided by 9?
7
Let t = 101 - -60. Let k = t + -60. Calculate the remainder when k is divided by 34.
33
Suppose 0 = -z - 2*l + 26, -65 = -5*z - 3*l + 6*l. Let j(i) = -i**3 + 9*i**2 - 2*i - 2. What is the remainder when j(8) is divided by z?
14
Suppose 2*y - 63 = -4*l - y, 0 = 4*y - 20. Let b(r) = 2*r + 8. What is the remainder when b(13) is divided by l?
10
Let k(l) = l + 11. Let t = 4 + -6. Let z = 8 + t. Calculate the remainder when k(6) is divided by z.
5
Suppose 0 = -3*m - 0 + 9. Calculate the remainder when -1*(m*-25 + 2) is divided by 25.
23
Let p be (-6 + 0)/((-3)/2). Let f = 15 - p. Calculate the remainder when f is divided by 6.
5
Suppose 63 = 5*w - 87. Suppose 5*y - 4 = -19. What is the remainder when w is divided by (-2)/y - (-62)/6?
8
Suppose 2*r = -r - 93. Let y = r - -97. What is the remainder when y is divided by 23?
20
Let b = 81 + -17. What is the remainder when b is divided by 22?
20
Let a(o) = o. Suppose 5 = 2*l - 2*v + 15, 2*l + 4*v - 20 = 0. Let p be a(l). Suppose p*u - 174 = -3*u. Calculate the remainder when u is divided by 20.
18
Suppose 3*t - 72 = -9*t. What is the remainder when 16 is divided by t?
4
Let n be ((-2)/7)/((-7)/49). Suppose -n*j - 5 = -15, -4*j = -x - 12. What is the remainder when (-4)/(-10) - (-226)/10 is divided by x?
7
Let x = 18 - 27. Let n = x - -4. What is the remainder when 46 is divided by n/(-1)*12/5?
10
Let j(c) = -7*c - 4. What is the remainder when j(-8) is divided by 11?
8
Suppose -y - 5*u + 27 = 0, 4*y - 39 + 0 = 3*u. Calculate the remainder when y is divided by 5.
2
Let d(o) = 8*o**2. Let c be d(1). Let k(z) = -z**3 + 9*z**2 - 2*z - 2. What is the remainder when k(c) is divided by 16?
14
Let s = -430 - -435. Suppose 0*n - n + 23 = k, -n = -4*k + 67. What is the remainder when k is divided by s?
3
Calculate the remainder when 3/12 - 206/(-8) is divided by 9.
8
Let b(u) = u**3 + 3*u**2 - 6*u - 6. What is the remainder when 11 is divided by b(-4)?
1
What is the remainder when (-47 - -5)/((-5)/(35/2)) is divided by 30?
27
Suppose -5*k - 85 = 80. Let i = k + 95. Suppose -2*j - v + 48 = -3*v, 0 = 4*j + 4*v - 72. Calculate the remainder when i is divided by j.
20
Let r be ((-20)/(-8))/((-1)/(-4)). Calculate the remainder when 11 is divided by 12/r*35/14.
2
Suppose 7*u - 2*u - 15 = 0. Suppose -f + u*f = 116. What is the remainder when f is divided by 20?
18
Suppose -9*o + 10*o = 9. Calculate the remainder when 33 is divided by o.
6
Suppose 22*r = 997 - 315. What is the remainder when r is divided by 1/(-2 + 17/8)?
7
Suppose -2*j + 2*f - 4 = 0, 0 = -3*j + 6*f - f - 10. Let h = j + 2. Suppose 0 = h*u - u - 18. Calculate the remainder when 52 is divided by u.
16
Suppose 20 = 5*q - q, 0 = m - 3*q + 13. Suppose w + j = 18, -m*w = -5*j - 23 - 13. Suppose 0 = -4*i + 145 - 9. What is the remainder when i is divided by w?
16
Suppose 0*w = -4*w + 156. Calculate the remainder when w is divided by (9 - (-3 - -1)) + -1.
9
Suppose -12 = 4*z - 0, 0 = -3*v + 5*z + 81. What is the remainder when v is divided by 17?
5
Let w = -28 - -50. Let q = 26 - 14. What is the remainder when w is divided by q?
10
Suppose 0 = 3*n + 6, 5*t + 94 = -4*n + 2*n. Let r be 32/t + 2/(-9). Let b(s) = s**2 - s + 2. What is the remainder when 15 is divided by b(r)?
7
Let v be 2/(-5) + (-186)/(-15). Calculate the remainder when (85/(-15))/((-2)/v) is divided by 12.
10
Let w(r) = -r**2 + 7*r - 5. Let i be w(5). Suppose -i*u + 3*m + 490 = 0, 0 = u + 3*m + m - 75. Calculate the remainder when u is divided by 32.
31
Suppose 0*p + 10 = p. Suppose -254 = -4*l - 2*o, 5 = -3*o - p. What is the remainder when l is divided by 23?
20
Let x(l) = -l**2 - 15*l + 26. Calculate the remainder when 43 is divided by x(-16).
3
Suppose -48 - 17 = -5*d. Calculate the remainder when d is divided by 2 + 0 + 4 + -1.
3
Let y(a) = 27*a - 1. What is the remainder when y(1) is divided by 7?
5
Suppose -5*r = -28 + 8. Suppose r*p = 2*c + 8, 0 = -2*c + 2 + 2. What is the remainder when 2/p*(-6)/(-4) is divided by 1?
0
Let n(s) = -s**3 + 7*s**2 - 5*s - 5. What is the remainder when 2 is divided by n(6)?
0
Let m = -8 + 11. Let i(r) = -r**3 - 8*r**2 - 9*r - 10. Let k be i(-7). Suppose -14 + 54 = k*t. What is the remainder when t is divided by m?
1
Let l = 48 + -36. Calculate the remainder when 56 is divided by l.
8
Suppose 0 = 2*k + 3*j - 8 - 10, 0 = 5*k - 5*j - 95. What is the remainder when 43 is divided by k?
13
Suppose 0 = -2*o + 2*x + 16, 0*o = -2*o - x + 1. Suppose -36 = -3*k - 12. What is the remainder when k is divided by o?
2
Let h be (-2 - -6 - 2)*-1. Let a(r) = 5*r**2 + 4*r + 2. Let v be a(h). Suppose 0*m - v = -m. Calculate the remainder when 26 is divided by m.
12
Suppose -2*i - 9 = -5*i. Suppose 16 = i*t + 5*n, 7*n - 2*n = 2*t - 19. Let m = t - -20. What is the remainder when m is divided by 10?
7
Let h(q) = -q**2 + 3*q - 1. Let g be h(2). Let l = g - 0. Suppose 0 = -0*r + r - l. What is the remainder when r is divided by 1?
0
Let c(y) = -y**2 - 4*y - 1. Let q be c(-4). Let f(z) be the third derivative of -z**4/3 - z**3/6 - z**2. What is the remainder when 13 is divided by f(q)?
6
Suppose 9 = -3*a - 5*k + 3, 4*k = 12. Let s = 8 + a. Suppose 2*w + 0 = -2*m + 8, -6 = 3*w - 3*m. Calculate the remainder when s is divided by w.
0
Let g = 7 + -4. Suppose d + 16 = 5*s, -d - 3*s + 28 = 3*d. What is the remainder when d is divided by g?
1
Suppose 4*a - 4*j - 216 = 0, 3*j - 270 = -8*a + 3*a. Suppose 3*c - 5*c = 3*m - 51, 3*c - a = 3*m. Calculate the remainder when c is divided by 11.
10
Suppose 3*p - 4*p + 99 = 0. Let g = -171 - -196. Calculate the remainder when p is divided by g.
24
What is the remainder when 50 is divided by 3 - (-16 - 3 - -4)?
14
Let r = 6 + -4. Suppose 5*s - 8 = -0*u + u, -7 = 3*u + r*s. Calculate the remainder when (2 + -5)*23/u is divided by 12.
11
What is the remainder when 17 is divided by 15/2 + 1/(-2)?
3
Let p be (-4)/(-6) + 7/3. Suppose 0 = 4*s - 4*k - 68, s + 7*k - 2 = p*k. What is the remainder when 41 is divided by s?
13
Suppose 0 = 4*d - 5*b - 55, -d - 6*b + 18 = -3*b. Suppose -y + 2*u = -d, -u + 16 = 5*y - 26. Calculate the remainder when 15 is divided by y.
6
Let r = 13 - 6. Let h be (3/5)/((-6)/(-30)). Suppose -h*v + 1 = -8. What is the remainder when r is divided by v?
1
Suppose 5*j - n = 24, -j + n = -3*n - 20. Let v(y) = 5*y**2 + 3*y - 2. What is the remainder when v(1) is divided by j?
2
Let j = -8 - -25. Calculate the remainder when 49 is divided by j.
15
Let n be (-206)/(-14) + (-2)/(-7). Suppose 0 = y - 5*y - 5*l + 25, 5*l = -2*y + n. What is the remainder when 18 is divided by y?
3
What is the remainder when 46 is divided by 12/(-72) + (-194)/(-12)?
14
Suppose l + 5 + 1 = 0. Let a(f) = -4*f + 2. Let j = -3 + 12. What is the remainder when a(l) is divided by j?
8
Suppose 6*p = 148 + 146. Let d = 6 - 4. Suppose d*a - 85 = -3*a. What is the remainder when p is divided by a?
15
Let w = 44 + -37. What is the remainder when w is divided by 7?
0
Let g be 98/12 - (-1)/(-6). Suppose -g*n + 75 = -3*n. Calculate the remainder when n is divided by 4.
3
Suppose 0 = -4*i - 104 + 40. Let s = 18 - i. Calculate the remainder when s is divided by 7.
6
Let q = -16 - -43. Let w(j) = -3*j - 8. Calculate the re