 Suppose 2*n = 3*d + 19, -4*n - 4 = -3*n + 3*d. Calculate the remainder when p is divided by n.
3
Let y(r) = -r + 8. Suppose -49 = -4*o + 115. Calculate the remainder when o is divided by y(-6).
13
Let u(w) = -7*w**3 + 4*w**2 + 4*w + 2. Let x be u(-2). Let p = x + -29. What is the remainder when p is divided by 13?
11
Let h(u) = -u**3 + 4*u**2 + 2*u - 5. Calculate the remainder when 8 is divided by h(4).
2
Suppose -137 + 9 = -4*l. Calculate the remainder when 125 is divided by l.
29
Let m = -195 - -276. Suppose 0 = -3*k - 2*k + 105. What is the remainder when m is divided by k?
18
Let q = 8 - 6. Let a(s) = s**2 - 7*s + 2. What is the remainder when a(7) is divided by q?
0
Let p = 2 - 1. Let t = p + 8. What is the remainder when t is divided by 5?
4
Suppose -83 + 2 = -3*c. Calculate the remainder when c is divided by 10.
7
Let s be 6/((21/2)/7). What is the remainder when 14 is divided by 8/s*(5 - 1)?
6
Suppose 5*a + 4*z = -0*z + 43, 4*a - 18 = 5*z. Suppose -5*s = 4 - 134. Calculate the remainder when s is divided by a.
5
Suppose -13*n + 625 = 40. What is the remainder when n is divided by 13?
6
Suppose 4*t - 51 = -l, -2*l + 58 = -3*t - 0*t. Let g = l + -25. Calculate the remainder when -1*(2/2 + -30) is divided by g.
9
Suppose 4*t - 32 = 4*i + 4, 3*t - 4*i = 25. Calculate the remainder when t is divided by 4.
3
Suppose -5*l - 12 = 3*q, -2*l + 0*l = 4*q + 16. Suppose l = g - 3*g + 24. What is the remainder when 47 is divided by g?
11
Let x = -7 + 5. Let q(m) = -4*m. Suppose -5*n + 5 = -0, -21 = -k + n. Calculate the remainder when k is divided by q(x).
6
Calculate the remainder when 129 is divided by 9/(-36) - (-106)/8.
12
Let z(m) = 3*m - 19. What is the remainder when 51 is divided by z(10)?
7
Suppose 15 = -3*a, -5*h + 0*a - a - 35 = 0. Let n = 3 - h. What is the remainder when 16 is divided by n?
7
Let d = 8 - 4. Suppose 0 = -2*w - 4*r - 0 + d, -2*w + 14 = -r. Let x = 19 - 2. Calculate the remainder when x is divided by w.
5
Suppose 55 = -5*o - 280. Let l = o - -107. Suppose -c + x - 4*x + 10 = 0, -x = 4*c - l. What is the remainder when c is divided by 4?
2
Calculate the remainder when (18/4)/(-3) + 5904/32 is divided by 31.
28
Let g be (-23)/(-4) + (-12)/16. Calculate the remainder when 37 is divided by 2*g + -2 + 5.
11
Let t(s) = s**2 + 18. What is the remainder when 70 is divided by t(0)?
16
Let p(w) = w**2 - 5*w - 21. Let z = 16 - -42. What is the remainder when z is divided by p(9)?
13
Let h = 41 + -20. Suppose 0 = l - 57 - 4. What is the remainder when l is divided by h?
19
Calculate the remainder when 0 + 2 + -3 + 36 is divided by 19.
16
Calculate the remainder when 106 is divided by (-10)/35 - (-191)/7.
25
Suppose 4*h + 55 = 531. Suppose 5*b = 3*d + 127, 0*b + d = 5*b - h. Suppose 22 + 14 = 3*v. Calculate the remainder when b is divided by v.
11
Suppose 3*v - 1 = -4, -5*v - 47 = -3*c. What is the remainder when c is divided by 9?
5
Suppose -2*b + 5*v = 4*v - 79, 3*b + 5*v - 138 = 0. What is the remainder when b is divided by 12?
5
Let w = 57 - 22. Suppose 4*p = 2*s + 106, -41 = -5*p + 3*s + 91. Suppose -7*k = -4*k - p. What is the remainder when w is divided by k?
8
Let a(k) = 3*k - 25. What is the remainder when a(17) is divided by 17?
9
Let l(d) = -d**2 + 8*d + 4. Let t = -1 + 7. Calculate the remainder when 63 is divided by l(t).
15
Suppose 4*l - b - 63 = -0*l, 0 = 2*l + 5*b - 37. What is the remainder when 60 is divided by l?
12
Calculate the remainder when 75 is divided by 3 + (-3)/(6/(-46)).
23
Suppose 1 = 4*w - 3. Let u(g) = 12*g**2 - 1. What is the remainder when u(w) is divided by 3?
2
Let k(h) = -5*h**3 + 2*h**2 - 3*h. Let b be k(2). Let g = b + 75. What is the remainder when g is divided by 13?
11
Suppose 5*m - 58 = 12. Suppose 0*c + 4*y = -4*c - 56, -3*y = -5*c - 102. Let z = 26 + c. What is the remainder when m is divided by z?
6
Suppose k + 2 = -1, 0 = -u + 2*k + 77. What is the remainder when u is divided by 18?
17
Suppose 3*b - 3*x - 87 = 0, 0 = 7*b - 2*b + 2*x - 159. What is the remainder when 52 is divided by b?
21
Let x(h) = -3 + 6 + 16*h - 5*h. Calculate the remainder when x(4) is divided by 16.
15
What is the remainder when 55 is divided by 118/6 + (-8)/12?
17
Let z(k) = 5*k + 5. Let l(r) = -10*r - 11. Let d(j) = -4*l(j) - 9*z(j). Calculate the remainder when d(-2) is divided by 5.
4
Suppose 3*g = -g + 12. Let j = -1 + g. Suppose j*d = -2*d + 44. What is the remainder when 32 is divided by d?
10
Let b = 67 + -41. Calculate the remainder when 101 is divided by b.
23
Suppose 0 = -8*h + 3*h - 100. Let l be (-4 - -11)*(0 - 1). Let z = l - h. What is the remainder when z is divided by 7?
6
Let b = 14 - 2. Suppose -4*i - 7 + 35 = 0. What is the remainder when b is divided by i?
5
Let p be 1 + -2 + (-32)/(-2). Suppose -13 = -2*y + p. Calculate the remainder when 40 is divided by y.
12
Suppose 9*n - 259 = 2*n. Let q(t) = -t**2 - t + 10. What is the remainder when n is divided by q(0)?
7
Suppose 0 = 2*v - 1 - 55. Suppose v = 2*a - 2*h, -a - 4*a - 4*h + 52 = 0. Calculate the remainder when 0/(-4) - -44 - 2/(-2) is divided by a.
9
Suppose -3*d - 2*x = 2*x - 22, 0 = 2*d - x. Suppose -3*f = d*f. What is the remainder when 20 is divided by ((-11)/(-4) - f)*4?
9
Let o(a) = a + 1. Let b be o(1). Suppose 7 = b*u - 1. Suppose 2*j - u*f = 48, f + 0*f + 4 = 0. Calculate the remainder when 30 is divided by j.
14
Let x = 65 + -39. What is the remainder when x is divided by 8?
2
Let l = 21 - 13. Suppose 2*y - 6 = l. What is the remainder when 18 is divided by y?
4
Let k be (-1)/(-2) - 39/6. Let q = -4 - k. What is the remainder when 41/2*4/q is divided by 21?
20
Let m(i) = 7*i**2 - 3*i - 2. Calculate the remainder when 20 is divided by m(-1).
4
Let v = -10 + 17. Let c(j) = -j**2 + 7*j + 4. Let p be c(8). What is the remainder when v is divided by (-1)/p - 11/(-4)?
1
Suppose v = 2*p - 3*p + 5, -16 = -3*v - 2*p. Let d(k) = -k**2 - 10*k - 6. Let t be (-12)/2 - 2/1. Calculate the remainder when d(t) is divided by v.
4
Let k(l) = -9*l. Calculate the remainder when (21/(-12))/((-2)/40) is divided by k(-1).
8
Suppose 4*y + 3*w - 19 = 2*y, -4*y - 3*w = -29. Let g = y + 4. What is the remainder when 17 is divided by g?
8
Let j = 21 - 19. Suppose -c + 2*c = 6. Suppose -w + c = w. What is the remainder when w is divided by j?
1
Let i = 156 - 85. Calculate the remainder when i is divided by 24.
23
Suppose 5*q - 38 = 162. Calculate the remainder when q is divided by 14.
12
Let j = -52 - -67. Calculate the remainder when 42 is divided by j.
12
Let a(f) = -f**3 - 5*f**2 + 2*f - 2. Let x be a(-3). What is the remainder when 36 is divided by (x/10)/((-7)/35)?
10
Let k(y) = -4*y - 20. Calculate the remainder when 58 is divided by k(-10).
18
Let h = 38 + -12. Let z(q) = 2*q**2 - q - 1. Let w(d) = d + 1. Let k be w(-3). Calculate the remainder when h is divided by z(k).
8
Let i = -5 + 18. What is the remainder when 37 is divided by i?
11
Let k be 1/(9/(-6) + 2). Suppose 0*f - 4*f = 0. Let y = k + f. What is the remainder when 3 is divided by y?
1
Suppose 5*t = 4*b + 272, -3*t - b - 31 = -184. Calculate the remainder when 204 is divided by t.
48
Let v = 32 - 11. Suppose -5*z + v = -2*z. Calculate the remainder when 13 is divided by z.
6
Let h(s) be the second derivative of 101*s**4/12 - s**2/2 + s. Let z be h(-1). Suppose 3*i + z = 8*i. Calculate the remainder when 58 is divided by i.
18
Let n = -99 + 139. What is the remainder when n - 6/(-3 + 1) is divided by 15?
13
Let b be ((-12)/1)/(-1 + -1). Let u be ((-48)/(-9))/(2/b). Suppose 0 = -0*k - 2*k + u. What is the remainder when 15 is divided by k?
7
Let s(b) = 10*b**3 - b + 1. Let g be s(1). Suppose l = -2*p + 5*l + 12, 0 = 2*l + g. Calculate the remainder when p/2 + 32 - -2 is divided by 11.
10
Let w(t) = -t**3 - 8*t**2 - 3*t + 11. Let p be (-8)/16 - 15/2. Calculate the remainder when w(p) is divided by 12.
11
Let u(d) = -20*d + 2. Suppose -2*c = 2 - 0. Calculate the remainder when u(c) is divided by 6.
4
Let y be 0 - -1 - 7*1. Calculate the remainder when 34 is divided by (y/4)/1*-6.
7
Let t be (-4)/(-5) - 2/(-10). Let y = t - -6. Let c(b) = 4*b - 9. What is the remainder when c(y) is divided by 10?
9
Let v(w) = 12*w**2 - 8*w + 3. Calculate the remainder when 23 is divided by v(1).
2
Suppose 4*d 