5*h. What is the remainder when h is divided by 14?
12
Let b be (-14)/(-4) + 2/(-4). Suppose -4*l + u + 41 = -2*u, -5*l + u + 43 = 0. Let q = l + b. Calculate the remainder when 20 is divided by q.
9
Let v(o) = 5*o - 5. Let u be (-648)/(-10) + (-12)/(-60). Suppose 8*w - 3*w - u = 0. Calculate the remainder when v(6) is divided by w.
12
Let y(g) = 27*g**3 + 3*g**2 - 2*g - 1. What is the remainder when 78 is divided by y(1)?
24
Suppose -v = 2*v - 36. Calculate the remainder when 34 is divided by v.
10
Suppose c - 16 = -5. Let r be (-2)/c - (-262)/(-11). Let z = r + 46. Calculate the remainder when z is divided by 12.
10
Suppose -262 = -2*r - 26. Suppose v - r = -v. Suppose v + 37 = 3*u. What is the remainder when u is divided by 11?
10
Suppose -4*h + 154 = -0*h + 5*c, -3*c + 150 = 4*h. What is the remainder when h is divided by 21?
15
Let n(b) = 2*b**2 - 12*b - 33. Calculate the remainder when n(11) is divided by 20.
17
Let h(i) = i**3 + 8*i**2 + 2*i - 26. What is the remainder when h(-5) is divided by 7?
4
Let t(b) = b**2 - 2*b + 1. Let n(d) = d + 9. Let k be n(-7). Suppose -m + 219 = k*m. Calculate the remainder when m is divided by t(6).
23
Let t(p) = -p**3 + 5*p**2 - 7*p + 4. Let j be t(4). Let u = j + 20. What is the remainder when 35 is divided by u?
11
Let m = 53 - 25. Calculate the remainder when 83 is divided by m.
27
Let m be (-6)/(-15)*(4 + 1). Calculate the remainder when 6/m*219/9 is divided by 19.
16
Let c = -19 - -31. Suppose -w - 2*w = -c. Suppose 2*j = w, -2*k - j + 90 = 2*k. Calculate the remainder when k is divided by 8.
6
Suppose -2*z - 3 = -7. Suppose 3*a + z*f = 67, -3*f + 2*f - 14 = -a. Calculate the remainder when a is divided by 11.
8
Let g(j) = j**3 + j**2 - 2*j. Suppose -4*c = -0*c - 12. Let v = 51 + -35. Calculate the remainder when g(c) is divided by v.
14
Let i(q) = -23*q + 5. Calculate the remainder when i(-2) is divided by 13.
12
Let k = 92 - 39. Calculate the remainder when k is divided by 18.
17
Let o(w) = -w**3 + 4*w**2 + 5*w + 2. Let x be o(5). Suppose x*r = -0*r + 38. Let b(d) = d + 2. Calculate the remainder when r is divided by b(5).
5
Suppose 0 = -w, n + 2*w + 2 = 1. Let g = n - -2. Suppose 0 = 2*r + 2*f - 4, 0 = -4*r - 2*f + f + 5. What is the remainder when g is divided by r?
0
Suppose 5*x - 44 = -14. Suppose -3*a = -3*w + 21, -37 = -4*w + a - 0*a. Calculate the remainder when w is divided by x.
4
Let o = -4 - -3. What is the remainder when (-10)/5*17/(-2) is divided by 7 + (1 + 0 - o)?
8
Suppose 3*a = -5 + 26. What is the remainder when 12 is divided by a?
5
Let s = 202 + -133. What is the remainder when s is divided by 10?
9
Let m = 139 + -88. What is the remainder when m is divided by 11?
7
Suppose -4*s + 86 - 22 = 0. Calculate the remainder when s is divided by (9/15)/((-2)/(-30)).
7
Suppose -5*u - 11 - 64 = 0. Let q = 40 - 13. What is the remainder when q is divided by 144/10 - (-6)/u?
13
Suppose -5*a + j = -59, -4*j + 27 = 2*a - j. Calculate the remainder when a is divided by 7.
5
Let l(b) = b**2 - 4*b + 6. Let y be l(5). Suppose -11 - y = -2*n. What is the remainder when 41 is divided by n?
8
Let x be -3 + 5 + -3 - -4. Suppose -x*j = -54 - 78. Calculate the remainder when j is divided by 15.
14
Let q(w) = w**3 - 2*w**2 + 5*w - 5. Let z be q(2). Let m(h) = h**2 + 5*h - 3. What is the remainder when m(z) is divided by 24?
23
Suppose 745 = 15*q - 2195. What is the remainder when q is divided by 40?
36
Let p = 2 - -14. Calculate the remainder when p is divided by 9.
7
Let q = 54 - 31. Suppose -6 = m - 2. What is the remainder when 10 is divided by (-1)/m - q/(-4)?
4
Suppose -2*p + 107 - 37 = 0. Let k be (-57)/(-21) + 4/14. Suppose 0 = -0*n - k*n + 36. What is the remainder when p is divided by n?
11
What is the remainder when 24 is divided by (0 + 2)*(-50)/(-20)?
4
Suppose -3*w - 27 + 3 = 0. Let v = 13 + w. Let n = 35 + -16. Calculate the remainder when n is divided by v.
4
Suppose -4*o = 3*g - 750, -3*o = 2*o. What is the remainder when g is divided by 42?
40
Suppose -3*x - g + 5 = -2*x, 0 = -5*x + 4*g + 52. Calculate the remainder when x is divided by 3*((-16)/(-6) - 1).
3
Let z be ((-62)/(4 + -2))/(-1). Let n be ((-24)/10)/(12/(-80)). Let w = z - n. What is the remainder when 42 is divided by w?
12
Let k(z) = -z**2 + z + 94. Calculate the remainder when k(0) is divided by 19.
18
Let g = -10 - -45. Calculate the remainder when g is divided by 9.
8
Let p(a) = -25*a - 9. Calculate the remainder when p(-2) is divided by 15.
11
Let x = 120 - 21. Let z = x - 34. Suppose -b = -6*b + z. Calculate the remainder when b is divided by 5.
3
Suppose 2 - 10 = 2*z. Let y be 1/(-6) + z/(-24). What is the remainder when 4 is divided by 1/(y + (-1)/(-3))?
1
Let j = 31 + -14. Let q(u) = u**3 - 6*u**2 + u - 1. Let p be q(5). Let a = 30 + p. What is the remainder when j is divided by a?
8
Suppose 27 = 2*p + 5*a, -3*a - 2*a = -4*p - 21. Calculate the remainder when 2 is divided by p.
0
Calculate the remainder when 2/(-11) - (16128/(-22))/6 is divided by 31.
29
Calculate the remainder when 40 is divided by 6/(-10) - 192/(-20).
4
Let q(p) = 2*p - 7. What is the remainder when 13 is divided by q(7)?
6
Let c = 23 + -15. Calculate the remainder when 21 is divided by c.
5
Suppose 5*q - 989 = -294. What is the remainder when q is divided by 47?
45
Suppose -4*k + 20 = -2*k. What is the remainder when k is divided by 3?
1
Suppose 4*o + 182 - 562 = 0. What is the remainder when o is divided by 24?
23
Suppose -4*z = -9*z + 75. What is the remainder when 42 is divided by z?
12
Let a = 68 - 55. Suppose 2*h + s = 4*h - 5, 3*h = -5*s - 25. Suppose h = -3*k + 15. Calculate the remainder when a is divided by k.
3
Let s(c) = -c**3 + 6*c**2 + 2*c + 3. Let o be (0 - -3)/(-3) - -7. What is the remainder when 57 is divided by s(o)?
12
Calculate the remainder when (-2)/7 + 573/21 is divided by 15.
12
Let p(i) = 31*i - 3. Calculate the remainder when p(3) is divided by 23.
21
Let b(r) = -3*r**2 + r + 2. Let d be b(-2). Suppose 2*t + 20 + 24 = 0. Let x = d - t. Calculate the remainder when 29 is divided by x.
9
Let a be (-20)/6*(-36)/30. Let o be (a/(-8))/(1/(-2)). Suppose -u + 12 - o = 0. Calculate the remainder when 20 is divided by u.
9
Let t = 2 - -36. Let k be (3 - 15/6)*-2. What is the remainder when t is divided by (k - -2) + -1 + 13?
12
Let f(w) = w + 9. What is the remainder when f(22) is divided by 11?
9
Suppose 0 = 4*n - 3*h - 85, -4*n - 16 = 3*h - 83. Let s be (-1)/(-1 + 12/15). Suppose 0 = -p + s*p - 40. Calculate the remainder when n is divided by p.
9
Suppose 2*u + 4 = 12. Suppose 0 = -u*s - 14 + 82. Calculate the remainder when s is divided by 5.
2
Let l = -39 + 44. What is the remainder when 11 is divided by l?
1
Let w(f) = f**3 - 4*f**2 + 3*f + 2. Let z be w(3). Suppose -26 - 2 = -z*g. Calculate the remainder when (-9)/(-2 - (-5)/3) is divided by g.
13
Suppose 2*c = -5*m + 85, c - 3*m = 2*m + 50. Suppose 16 = 3*v - 2*v. What is the remainder when c is divided by v?
13
Suppose 0 = q + 3*q. Suppose q = -0*v - 4*v + 16. Suppose 3*y - 86 = -3*n + 40, -v*y = -3*n - 133. What is the remainder when y is divided by 13?
11
Suppose 3*t - 210 = -4*t. Let y(n) = 4*n**2 + n - 2. What is the remainder when t is divided by y(2)?
14
Let i = 22 + 35. Suppose -9*o = 48 - 156. What is the remainder when i is divided by o?
9
Suppose 0 = -3*v - 5*w + 46, v + 0*w - 18 = -3*w. What is the remainder when v is divided by 9?
3
Let p(b) = b**3 - b**2 + 2*b - 3. Let y be p(2). Suppose 16 = 2*u - 0*u. What is the remainder when u is divided by (y*1)/(-4 + 5)?
3
Calculate the remainder when 7/(28/30)*8/2 is divided by 13.
4
Let d(m) = m**3 - 5*m**2 - 7*m. Let k be d(6). Let o(c) = c**2 + 6*c + 6. What is the remainder when 21 is divided by o(k)?
3
Let h(b) = -b**3 + 8*b**2 - 3*b - 8. Calculate the remainder when h(7) is divided by 11.
9
What is the remainder when 2/4*12/(-10)*-10 is divided by 6?
0
Let z = 2 - 7. Calculate the remainder when 27 is divided by (56/(-10))/(2/z).
13
Suppose 4 = b - 0. Calculate the remainder when (4/10)/(3/75) is divided by b.
2
Suppose 2*p - 146 = -2*p - 2*a, -4*p + 139 = -5*a. What is the remainder when p is divided by 10?
6
Let s = -6 - -9. Let n = s - 1. Calculate the remainder when 3 is divided by n.
1
Let d = 4 + -5.