 6.
3
Let n(b) = b**3 + 8*b**2 + 9*b + 6. Let v be n(-7). Suppose 5*s = 2*m - 35, s + 0 = 2*m - 23. Calculate the remainder when m is divided by v/(-6)*(-1 + 4).
2
Suppose -4*p + m - 202 = -493, 348 = 5*p + 4*m. Suppose -2*k - k = -p. Suppose -2*j = -10 - 16. Calculate the remainder when k is divided by j.
11
Suppose j = -5*z + 25, 3*j + 0*j = 2*z + 41. Calculate the remainder when 59 is divided by j.
14
Suppose 5*n + 460 = 5*w, -5*w = 2*n - 5*n - 466. What is the remainder when w is divided by 32?
31
Let k(x) = -5*x + 7. Let i be k(3). What is the remainder when 11 is divided by (28/(-8) - -3)*i?
3
Let l be (-31)/(-3) - (-1)/(-3). Let h = -2 - -4. Suppose h*a = a + l. Calculate the remainder when 28 is divided by a.
8
Let v(l) = -l**3 + 10*l**2 + 17*l + 23. Calculate the remainder when v(11) is divided by 7.
5
Let c(f) = 2*f + 5. Let x be c(-4). Calculate the remainder when 40 is divided by (9/(-3))/(x/14).
12
Let b = 51 + -21. What is the remainder when 89 is divided by b?
29
Suppose 3*w + 40 = 3*m - m, 5*m + 4*w = 146. What is the remainder when m is divided by 14?
12
Suppose -2*l - 4*v + 24 = 0, v + 5 = 2*v. What is the remainder when l/(-6) + 82/3 is divided by 15?
12
Let f(y) = 4*y - 11. Calculate the remainder when 1 is divided by f(3).
0
Suppose 0 = -w + 5*w - 68. What is the remainder when 48 is divided by w?
14
Let q be (2/2)/((-2)/(-4)). Let a = 0 - q. What is the remainder when a + 10/(-2)*-4 is divided by 10?
8
Suppose 0*c + 8 = c. What is the remainder when 23 is divided by c?
7
Let m(x) = -x**2 - 13*x + 16. What is the remainder when m(-11) is divided by (20/(-6)*-3)/1?
8
Let z = 27 + 30. Suppose -q + o + 8 + 11 = 0, 3*q - 5*o = z. Suppose -2*u = -5*k - 45, -5*u + 2 = -k - 53. Calculate the remainder when q is divided by u.
9
Let o = 28 - 28. Suppose o = -0*f + 5*f - 55. Calculate the remainder when f is divided by 3.
2
Let b = 155 + -109. Suppose b = 4*y - 102. What is the remainder when y is divided by 13?
11
Suppose 43 = -0*w + w. Calculate the remainder when w is divided by 15.
13
Suppose f = -o + 6*o - 50, 0 = o - f - 6. Calculate the remainder when 32 is divided by o.
10
Suppose 0 = -3*a - a - 416. Let y = -59 - -69. What is the remainder when a/(-6) - 4/(-6) is divided by y?
8
Suppose 0 = 24*d - 23*d - 15. Let l = 58 + -14. What is the remainder when l is divided by d?
14
Let c = -10 - -30. What is the remainder when 78 is divided by c?
18
Let y = 6 - -4. Suppose -2*o + 31 = -33. Suppose -3*k - 22 = -8*k - 2*p, -o = -2*k + 5*p. What is the remainder when y is divided by k?
4
Let o be (6 - 12)/((-6)/4). What is the remainder when 606/18 + o/(-6) is divided by 9?
6
Suppose -5*h = -10*h + 130. What is the remainder when h is divided by 7?
5
Suppose -2*n + 13*n = 297. What is the remainder when n is divided by 6?
3
Let k(b) = 7*b - 4. Let s be k(3). Suppose -c + s = 5*r - 2*r, 5*r - 39 = -3*c. Suppose -3*h + 9 = -0. What is the remainder when c is divided by h?
2
Suppose -3*w + 2*d = -22, -d = 4*w - 21 - 1. Suppose -x - 64 = -5*x. What is the remainder when x is divided by w?
4
Suppose -129 = -6*t + 63. What is the remainder when 59 is divided by t?
27
Let x = 56 + -39. Let w = 5 + x. Suppose w + 48 = 5*n. What is the remainder when 27 is divided by n?
13
Let n(s) = 30*s. Let i be n(2). Suppose 4*x + 41 - 150 = -5*v, 3*v - i = 3*x. What is the remainder when 62 is divided by v?
20
Let t = -5 + 60. Calculate the remainder when t is divided by 20.
15
Let m(z) = -z. Let t be m(-1). Let n(q) = 14*q**3 - 2*q**2 + 1. Calculate the remainder when 24 is divided by n(t).
11
Let u be (-806)/18 - (-4)/(-18). Let x = u - -89. Let r = x - 30. Calculate the remainder when 41 is divided by r.
13
Let q = 8 + -8. Suppose -2*a + 3*i + 83 = q, i = 4*a + a - 227. What is the remainder when a is divided by 16?
14
Calculate the remainder when 21 is divided by 2*((-1)/(-1) - -3).
5
Calculate the remainder when ((-335)/10)/(1/(-2)) is divided by 23.
21
Calculate the remainder when 0 + (29 - 6/3) is divided by 7.
6
Let q(i) = 10*i + 1. Let w be q(3). Let t = -11 + 15. Suppose a = 3*c + w, -a - t*c = -2*a + 35. What is the remainder when 37 is divided by a?
18
Let i = 83 - 46. Let d = -1 + 3. Suppose 3*g - 15 = 0, -2*a + g = d*a - 35. Calculate the remainder when i is divided by a.
7
Suppose 0 = 2*c + 27 - 131. Suppose -4*o + 8 = 0, -g + 12 = o - 4*o. What is the remainder when c is divided by g?
16
Suppose 3 = 3*d - 4*d. Let k = d - -31. Suppose 2*v - 3*v - 5*r = -24, 3*v + 4*r = k. What is the remainder when 11 is divided by v?
3
Suppose -3 = -j + 2*y + 16, -j + 4*y = -23. Suppose -5*v - 45 = -5. Calculate the remainder when v/(-28) + (-194)/(-7) is divided by j.
13
Suppose 11*j = 13*j - 4. Suppose -3*y = 4*a - 2, 0 = 5*y - 0*a + 2*a - 8. What is the remainder when j is divided by y?
0
Let w = -2 + 14. Calculate the remainder when 35 is divided by w.
11
Let b = 59 - -5. Let c = 29 - -40. Suppose j + 19 = i, 3*i = -2*j + j + c. What is the remainder when b is divided by i?
20
Let a(m) = 2*m**2 - 7*m - 6. Let b(s) = -s**2 - 17*s + 188. Calculate the remainder when a(-5) is divided by b(7).
19
Suppose -2*a + 49 = -9. What is the remainder when 113 is divided by a?
26
Let p = -2 - -34. Suppose -q - 3*q + 44 = 0. Calculate the remainder when p is divided by q.
10
Suppose -30 = -2*x - 0. Calculate the remainder when 57 is divided by x.
12
Suppose -2*k + 0 + 8 = z, k - 16 = -2*z. Let h = z + 8. Calculate the remainder when 47 is divided by h.
15
Let c(g) = -g**2 + 6*g - 3. Suppose 2 - 26 = -4*a + 4*q, 5*a + 5*q = 0. Let t be c(a). Let f(b) = b + 8. Calculate the remainder when f(t) is divided by 8.
6
Let w(z) = -2*z**3 - 5*z**2 + 4*z + 7. Suppose 0 = j - 4*j + 63. Calculate the remainder when w(-4) is divided by j.
18
Calculate the remainder when -1 + 86/2 + -1 is divided by 14.
13
Suppose 5*l - o - 29 = 2*o, -5*o = 3*l + 3. Suppose 3*v = 0, -4*w - l*v + 33 = -11. What is the remainder when 43 is divided by w?
10
Calculate the remainder when 41 is divided by (0 + (-6)/4)/(12/(-88)).
8
Let w = 1 - 0. Let i = -5 - -4. Let n = 0 - i. What is the remainder when w is divided by n?
0
Let j be (-2)/(3/3 - 0). Let o be 1*j/4*-10. Let r = 7 - o. What is the remainder when 5 is divided by r?
1
Suppose t - 2*n = -n + 197, -5*t + 3*n = -985. What is the remainder when t is divided by 25?
22
Suppose k + 16 - 28 = 0. Suppose -2*c = 2*m - 64, c - 5 + 75 = 2*m. What is the remainder when m is divided by k?
10
Suppose 3 = 3*o + 12, -4*t = -o - 115. What is the remainder when t is divided by 16?
12
Suppose 3 + 12 = 5*b. Suppose -b*v + 0*v + 21 = 0. Suppose -f + 6 + v = 0. What is the remainder when 24 is divided by f?
11
What is the remainder when (4/(-3))/((-4)/102) is divided by 1/(-1)*(13 + -12) - -19?
16
Let f(d) = -15*d + 4. Let n(l) = -14*l + 3. Let a(o) = 2*f(o) - 3*n(o). What is the remainder when 67 is divided by a(2)?
21
Let v(m) = 7*m + 1. Let s be v(-1). Let z = s + 15. What is the remainder when 16 is divided by z?
7
Let i(d) = -3*d - 10. What is the remainder when (0 + 0 + -16)*-2 is divided by i(-7)?
10
Suppose 0 = -3*d - 22 + 31. What is the remainder when 43 is divided by d?
1
Let l(p) = p**2 - p + 1. Let m(k) = -k**3 - 8*k**2 + 9*k - 3. Let q be m(-9). Calculate the remainder when 38 is divided by l(q).
12
Suppose 55 = 7*j - 8. What is the remainder when 24 is divided by j?
6
Let v(y) = y + 6. Calculate the remainder when 35 is divided by v(13).
16
Let t = 6 - 8. Let y be t/4 - (-6)/(-4). Calculate the remainder when 24 is divided by y/(-8) - 153/(-12).
11
Let z be 0 - (0 + -1) - 0. Suppose z = -h + 8. Calculate the remainder when 20 is divided by h.
6
Let l = -72 + 91. Calculate the remainder when 54 is divided by l.
16
Suppose 3*w - 5*r = 0, r = w + 3*r - 11. Let i(x) = 5*x + 7. What is the remainder when i(w) is divided by 18?
14
Let h = 4 + 3. Calculate the remainder when h is divided by 3.
1
Calculate the remainder when 32 - ((1 - -2) + 0) is divided by 16.
13
Let f = 27 - 16. Suppose 3*r = -3 + 24. What is the remainder when f is divided by r?
4
Let q be (-687)/(-9) + 2/3. Let x be q + 7 - -1*3. Let z = -53 + x. What is the remainder when z is divided by 12?
10
Suppose 20 = f + 5*b, -2*f - b = b - 16. Suppose -o - 4*v = -f, -v + 105 = 4*o - 2*v.