
4
What is the remainder when 40 is divided by -1 + 24 - (22 - 20)?
19
Let y be (-2)/2 - 1/(-1). Let q = 3 - y. Suppose 10*l - 12*l = -12. Calculate the remainder when l is divided by q.
0
Suppose 66*l - 71*l + 255 = 0. Calculate the remainder when l is divided by 9.
6
Let o(c) = -c**3 + 10*c**2 - 3*c - 19. Calculate the remainder when o(9) is divided by 9.
8
Suppose 5*z = -0*z + 35. Suppose -4*s = -5*x - z*s + 223, 0 = x + s - 43. What is the remainder when x is divided by 12?
11
Let z = 7 + -9. Let b(s) = -27*s - 3. What is the remainder when b(z) is divided by 18?
15
Let q(r) = r - 2 - 2*r + 1. Let a(k) = -2*k + 3. Let h(y) = a(y) - q(y). What is the remainder when 1 is divided by h(3)?
0
Calculate the remainder when 31 is divided by ((-11)/(-4))/((-1)/(-4)).
9
Let u(a) = -26*a - 11. What is the remainder when u(-5) is divided by 24?
23
Let v(b) = -2*b - 7. Suppose -2*l - 1 = -9. Let x = l - 9. Calculate the remainder when 5 is divided by v(x).
2
Suppose -2*k = -4*b - 110, 0 = k - 0*b - 4*b - 61. Let s = k + -25. Calculate the remainder when s is divided by 13.
11
Let c(r) = r**3 + 8*r**2 + 6*r - 4. Let p be c(-7). Suppose j - p*n = 47, 0 = j + 2*n + 2*n - 12. What is the remainder when 61 is divided by j?
29
Let h(w) = w**2 + 4*w + 12. Calculate the remainder when h(-3) is divided by 1.
0
Suppose -4*l - 436 = -5*d, 4*d - 54 = -2*l + 274. Calculate the remainder when d is divided by 29.
26
Suppose -9*j + 6 = -6*j. Suppose t - 6 = -t. What is the remainder when (t/2)/(9/12) is divided by j?
0
Let v = -2 + 0. Let t be 4 + (v - (-3 - -2)). Let y = t - 0. Calculate the remainder when y is divided by 2.
1
Let m = 0 + -4. Calculate the remainder when ((-62)/(-8))/((-1)/m) is divided by 16.
15
Let k(r) = -3*r + 13*r**2 + 5*r - r. Suppose -3*j + 109 - 12 = 4*s, 4*j = -s + 112. Calculate the remainder when j is divided by k(1).
13
Let w = 0 + 2. Suppose r = -2 - w. Calculate the remainder when 224/10 + r/10 is divided by 8.
6
Let a = -113 - -119. What is the remainder when 16 is divided by a?
4
Let a = 16 + -24. Let w(m) = -m**2 - 8*m + 2. What is the remainder when 5 is divided by w(a)?
1
Let u = 268 - 158. Suppose 2*y + 28 = 3*y. Calculate the remainder when u is divided by y.
26
Let h = -15 + 26. Let d = -65 + 96. What is the remainder when d is divided by h?
9
Suppose 2*i - 6 = i. Suppose 5*j = -5*t + 35, -i*t + t + 23 = 2*j. What is the remainder when 92/16 - (-1)/4 is divided by t?
0
Let n = -53 - -60. What is the remainder when (0 - (3 + -2))*-27 is divided by n?
6
Let v be (10/40)/((-1)/(-12)). What is the remainder when 15 is divided by 6*v/6 + 5?
7
Suppose 5*l - 20 = l. Let a = l - -1. Suppose -6 = -m - 0*m - b, 0 = -2*m - 4*b + 16. Calculate the remainder when a is divided by m.
2
Suppose -2*z = -5*t - 53, -4*z = -4*t - 24 - 52. Suppose -z = -5*d + 1. What is the remainder when 5/(1*-1 + 2) is divided by d?
2
Let c = -20 - -47. Let b be (-3)/4*2*-2. Calculate the remainder when c is divided by (2/5)/(b/105).
13
Suppose 6*q - 287 = -77. What is the remainder when q is divided by 18?
17
Let r(a) = a**2 + 17*a - 2. Suppose -8*o + 3*o - 10 = 0. What is the remainder when 5/o*-18 + 1 is divided by r(-18)?
14
Suppose 0*q = -3*q + 30. Let l = -1 + q. Calculate the remainder when 19 is divided by (21/l)/(2/6).
5
Suppose y = -3*u + 88, 3*u - 44 - 20 = 5*y. Suppose 7*b - 5*b - u = 0. What is the remainder when 41 is divided by b?
13
Let m(c) = 2*c**3 + 2*c**2 - 5*c - 3. Let q be m(-5). Let u(a) = -2*a + 8. Let h be u(9). Calculate the remainder when q/h + 3/15 is divided by 10.
8
Suppose 5*c - 16 = -m + 20, -3*m + 60 = 3*c. Suppose -10 = -2*j + m. Let r(a) = 7*a - 4. Calculate the remainder when r(4) is divided by j.
11
Suppose 5*o - 3*o = 192. Suppose 5*t = t - c + o, -33 = -t + 2*c. Suppose 4*v - t = -v. What is the remainder when 19 is divided by v?
4
Let f(t) = -t + 17. Calculate the remainder when f(-7) is divided by 7.
3
Let b = 152 - 146. Suppose 0 = v - 0*v - 8. Calculate the remainder when v is divided by b.
2
Suppose 125 = 8*g - 99. What is the remainder when 83 is divided by g?
27
Let q be 2*-6*1/2. Suppose -4*o - 74 = 2*h - 5*h, 2*o = -3*h + 80. What is the remainder when 4 is divided by q/(-15) - h/(-10)?
1
Let g = 4 + -1. Suppose 2*v + 6 = g*l, -28 + 8 = -5*l. Suppose 0 = 2*q - 2*p - 22, -p = q - v*p - 9. Calculate the remainder when 24 is divided by q.
11
Let l(q) = -30*q - 11. What is the remainder when l(-4) is divided by 37?
35
Suppose -d + 4*d = 0, -2*d = -3*l + 33. What is the remainder when l is divided by 6?
5
Suppose -w = -50 + 16. Let x(j) = j + 1. Let k be x(3). Suppose 0 = -5*n + k*n + 12. Calculate the remainder when w is divided by n.
10
Let q = 14 + -15. Let a(n) = 6*n**2 + 2*n + 1. What is the remainder when 10 is divided by a(q)?
0
Let k = 2 + 8. Suppose 0 = 2*d - r - 3*r + 76, -r = -d - 35. Let i = d + 51. Calculate the remainder when i is divided by k.
9
Let j = 3 + 30. Suppose 4*q - 2*k = j + 13, -q + 3*k = -14. Suppose 5*s = -5*p + 10, 3*p + 2*s - 1 - 7 = 0. Calculate the remainder when q is divided by p.
3
Let z = 29 - 21. What is the remainder when 15 is divided by z?
7
Suppose -j + 13 = -1. Let d be (-78)/18 - (-4)/(-6). Let n = j - d. Calculate the remainder when 55 is divided by n.
17
Let m be (10/6)/((-1)/(-3)). Let t = 8 - 4. Suppose -t*r = 2*p - 2, -p - r + 13 = -m*r. Calculate the remainder when 13 is divided by p.
3
Let h = 35 - 23. Let o = 7 + -5. Calculate the remainder when o/(-7) - 988/(-28) is divided by h.
11
Let c(f) = -f - 1. Let q be c(0). Let r = -4 - q. Let z = r + 16. Calculate the remainder when 38 is divided by z.
12
Suppose -4*y = 10*y - 420. What is the remainder when y is divided by 18?
12
What is the remainder when 35 is divided by -2 - 0 - 105/(-7)?
9
Let j(m) = -m - 1. Let o be j(-3). Suppose 2*c - 25 + 4 = -5*h, -21 = -3*c - 4*h. Calculate the remainder when (1 - c)*(-3 + o) is divided by 2.
0
Suppose k - 1 = -4*b + 7, 4*k = -b - 13. Suppose -2*x - 5*v = -3*x + 19, 3*v = -b*x + 21. What is the remainder when x is divided by 4?
1
Suppose -2*f - 5 = -3*f. Suppose 46 = 2*g - u, -f*g + 113 - 3 = -5*u. Let p = g + -16. What is the remainder when 23 is divided by p?
7
Let a(h) = h**2 - 9*h - 4. Suppose 0 = -3*j - 2*j + 15. Suppose -p + j*p - 20 = 0. Calculate the remainder when p is divided by a(10).
4
Let j be 4/14 + 2011/(-7). Let f = 413 + j. What is the remainder when f is divided by 32?
30
Let c = -24 + 57. Let x = 43 - 26. Calculate the remainder when c is divided by x.
16
Let c = 46 - 2. Let t(o) = o**3 - o**2 - o + 15. Calculate the remainder when c is divided by t(0).
14
Suppose -5*s = -3*s - 38. Calculate the remainder when s is divided by 11.
8
Let r be 3/3*2 - 0. Suppose -4*z + 235 = z + r*n, -n + 5 = 0. Suppose 0*m + 3*m - z = 0. Calculate the remainder when 28 is divided by m.
13
Suppose -q + 27 = -12. What is the remainder when q is divided by 21?
18
Let v(p) = -p**3 + 16*p**2 - 11*p + 12. Calculate the remainder when v(15) is divided by 25.
22
Let d(x) = 19*x. Suppose 0 = -o - 3 + 5. What is the remainder when d(o) is divided by 20?
18
Let y = -21 - -38. What is the remainder when 31 is divided by y?
14
Let u(h) = 7*h**2 - 5*h + 11. What is the remainder when u(4) is divided by 26?
25
Let l = -39 - -45. Calculate the remainder when 21 is divided by l.
3
Suppose -2*q + 3*q = 6. Let k(o) = 3*o + 5. Calculate the remainder when k(q) is divided by 12.
11
Suppose 0 = -3*g - 0*g. Let x be ((g/3)/(-3))/(-2). Calculate the remainder when 2 + x/(3/(-3)) is divided by 2.
0
Suppose -4*u = -3*o + 118, 2*u = -u + 6. What is the remainder when o is divided by 11?
9
Suppose 5*s - 127 = -0*n + 3*n, 31 = s + 5*n. Calculate the remainder when 74 is divided by s.
22
Let k(o) = o**2 + 12. Suppose 2*t + 2*r = -2*t + 80, -4*r - 16 = 0. Calculate the remainder when t is divided by k(0).
10
Let f = 6 - 3. Suppose -f*t + 5*d = d + 17, -t + 3*d = 9. What is the remainder when 15 is divided by 2 + (t - 0) - -10?
6
Let k(n) = n + 6. Let q be k(-3). What is the remainder when 13 is divided by q*4/(-6)*-2?
1
Calculate the remainder when (-3 - 1206/(-8)) + (-3)/4 is divided by 30.
27
Let r(p) = 14*p - 14*p + 13*p. Calculate the remainder when r(2) is divided by 1*0/(-2) + 9.
8
Suppose -242 = 3*o - 5