ulate the remainder when s is divided by w(6).
0
Suppose -4*a + 69 = -0*a - l, -5*a = -3*l - 88. What is the remainder when 65 is divided by a?
14
Let i = 6 - -1. Let r = i - 6. Calculate the remainder when 1 is divided by r.
0
Let o(d) = d**2 - 11*d + 34. Calculate the remainder when 37 is divided by o(8).
7
Let i(f) = -f**2 - f + 82. Let h be i(0). Suppose -61 = -4*p + 115. Let x = h - p. What is the remainder when x is divided by 13?
12
Let a(b) = b**3 + 6*b**2 + 6*b + 4. Let w be a(-5). Calculate the remainder when 53 is divided by (-36)/(-2)*(0 - w).
17
Let a = 143 + -84. Calculate the remainder when a is divided by 21.
17
Let n(k) = -k**2 - 7*k - 1. What is the remainder when n(-6) is divided by 2?
1
Let v = 2 - -3. Calculate the remainder when v is divided by 3.
2
Suppose -2*g - 3*g = 45. Let i(t) = t**2 + 9*t. Let l be i(g). Suppose 2*o - o - 11 = l. What is the remainder when 32 is divided by o?
10
Let c = 82 + -52. Suppose 1 = 3*m - 47. What is the remainder when c is divided by m?
14
Let a(t) = -t**3 - 7*t**2. Let q be a(-7). Suppose 8*i = 4*i - 2*u + 242, -u + 5 = q. Calculate the remainder when i is divided by 15.
13
Let v be (-23)/(-1) - (1 + -2). Suppose 4*w - v = w. Let a(f) = f**3 + 7*f**2 + 8*f + 4. Calculate the remainder when a(-5) is divided by w.
6
Let t(l) = l**2 - l - 5. Suppose -8*q - 58 = -9*q. Calculate the remainder when q is divided by t(-4).
13
Suppose 0 = -2*a - a + 264. Calculate the remainder when a is divided by (2*-5)/((-16)/12 + 1).
28
Suppose -k - 4*k - 3*f = -1, 0 = 3*k - f - 9. Suppose -q = q - 6. Calculate the remainder when q is divided by k.
1
Suppose 22*s = 17*s + 65. Calculate the remainder when 102 is divided by s.
11
Let m(a) = a**3 + 9*a**2 - 2*a - 12. What is the remainder when m(-9) is divided by 4?
2
Suppose -5*n - 3 + 18 = 0. What is the remainder when 11 is divided by n?
2
Suppose 4*l + 2*q - 20 = 0, l + q - 1 = 2*l. Calculate the remainder when 4 is divided by l.
1
Let a(u) = 5*u + 2. Suppose 97 + 39 = 4*w. Calculate the remainder when w is divided by a(2).
10
Let p(c) = c + 1. Let f be p(4). Suppose 3*v = -3*x + 18, -x + v = -f*x + 24. Calculate the remainder when 17 is divided by x.
5
Suppose 9*b = 5*b + 96. What is the remainder when b is divided by 13?
11
Let b = 25 - 14. Suppose -2*t + t + 40 = -5*d, 0 = -5*d - 5*t - 40. Let a = 29 + d. Calculate the remainder when a is divided by b.
10
Let r = 55 + -26. What is the remainder when 114 is divided by r?
27
Suppose 6*i - 15 = 3*i. What is the remainder when i is divided by (24/(-16))/((-1)/2)?
2
Let x be 4/(5/(-3 - -13)). Let s = 15 + 7. Calculate the remainder when s is divided by x/2 + 32/8.
6
Suppose -5*r = r - 42. Calculate the remainder when 32 is divided by r.
4
Suppose 0 = -4*y - 2*q + 52, 0*y - 5*q = -2*y + 38. What is the remainder when y + -2*3/6 is divided by (1 + 1 + 5)*1?
6
Let q = -25 - -45. Suppose -2*k + 3*k - 2 = 0. Let f = q + k. What is the remainder when f is divided by 8?
6
Suppose -3*c = -f + 9, 7 + 3 = 4*f + c. Let y be 1/((-3)/6) - -25. Suppose y + 22 = f*o. What is the remainder when 27 is divided by o?
12
Suppose 100 = 3*d + 34. What is the remainder when 43 is divided by d?
21
Let x = -141 + 250. Calculate the remainder when x is divided by 28.
25
Suppose -3*i = -0*i - 27. What is the remainder when 74/3 + 1/3 is divided by i?
7
Let o(l) = 42*l - 39. Suppose -2*z = -5 - 19. What is the remainder when o(2) is divided by z?
9
Suppose -70 = -2*j + 4*z, -6*z - 12 = -2*z. Calculate the remainder when 111 is divided by j.
24
Let i(h) = h**2 - 7*h + 2. Let v be i(5). Let w = v + 13. What is the remainder when -1*(-2 - (-2 + 18)) is divided by w?
3
Let v(q) be the third derivative of -q**4/8 + q**3/6 - 3*q**2. What is the remainder when 19 is divided by v(-3)?
9
Let h = -167 - -302. What is the remainder when h is divided by 68?
67
Suppose 5*o + 4*n - 16 = 5, 0 = 4*n + 4. Let t(x) = -x**3 + 7*x**2 - x + 1. Suppose 3*z + z = 48. Calculate the remainder when t(o) is divided by z.
10
Let j(x) = -x**3 + 5*x**2 + 3*x - 5. Let f be j(6). Let l = f + 82. Let a = 29 + -9. What is the remainder when l is divided by a?
19
Let u be -1 - (-1 + 2*-114). Suppose -4*t = -3*n - 279, -3*t - 3*n + u = n. What is the remainder when t is divided by 15?
12
Suppose 2*m = -5*c + m + 27, 2*m - 24 = -5*c. Let r be c - -2*1/2. Let k = r + 24. Calculate the remainder when k is divided by 16.
15
Calculate the remainder when 286 is divided by (-20)/3*(-144)/30.
30
What is the remainder when 53 is divided by (-15)/(-10)*56/3?
25
Let v(m) = m**2 - 6*m. Let z be v(9). Let f = -15 + z. Suppose j - 141 = -2*j. Calculate the remainder when j is divided by f.
11
Let l = 98 - 55. Let i(p) = 4*p - 9. Let g be i(6). Let n = g + 0. Calculate the remainder when l is divided by n.
13
Let c = 13 - 8. Suppose -3*m + 3*w = 6, m = -w + 5*w - 17. Suppose 0 = 5*s - 10, 5*f - m*f = 4*s - 2. What is the remainder when c is divided by f?
2
Let n be 3/(-5)*25/(-5). Suppose -n*x = 28 - 148. Calculate the remainder when x is divided by 14.
12
Let x(c) = c**2 - 10*c - 1. Suppose 4*u + 31 = 11. Calculate the remainder when x(11) is divided by (-1)/u + (-57)/(-15).
2
Let o = -32 + 73. Suppose -7*t = -6 - 15. Suppose -2*d - p + 42 = 0, -t*p = 4*d - 8*p - 84. What is the remainder when o is divided by d?
20
Let l = 19 + 2. What is the remainder when l is divided by 12?
9
Suppose -4*x + 3775 = -9*x. Let n be x/(-30) + (-2)/12. Suppose -211 - n = -4*w. Calculate the remainder when w is divided by 15.
14
Suppose -4 + 1 = -j. Suppose a = j*a - 24. Calculate the remainder when 35 is divided by a.
11
Suppose 4*i + 3*o = 43, 3*i = 2*o - 5*o + 33. Let j(f) = f**2 + f - 2. Calculate the remainder when j(-5) is divided by i.
8
Let p(b) = -b - 3. Let t be (-7 - 2*-1)/1. Let j be p(t). Suppose -4*i + 2*k + 4 = 0, i - 3*k - j = -1. Calculate the remainder when 1 is divided by i.
0
Suppose -3*c - 15 = b, -2*c = b + b + 10. Suppose b*s - 3 = -s. Let v(u) = u**2 + 5*u + 5. What is the remainder when v(-5) is divided by s?
2
Let w = -118 - -171. What is the remainder when w is divided by 11?
9
Let t be 14/3*6/4. Suppose -20 = 6*v - t*v. Suppose q - 5*a + 1 = -8, -5*q + 4*a + 39 = 0. Calculate the remainder when v is divided by q.
9
Let t = -2 + 6. Suppose -100 = -3*y + t*j, -3*y + 102 = 4*j - 7*j. Suppose -3*n = -0*n - 57. Calculate the remainder when y is divided by n.
17
Let i(k) = -1 - k - 2*k + 4*k. Let n(y) = 5*y - 11. Let s(o) = 6*i(o) - n(o). Calculate the remainder when 8 is divided by s(0).
3
Let m(j) = j**3 + 12*j**2 - 4*j - 27. What is the remainder when 92 is divided by m(-12)?
8
Let k(o) = 8*o - 5. What is the remainder when k(6) is divided by 22?
21
Let j = -14 + 13. Suppose -t = -5*t + 72. What is the remainder when (68/(-16))/(j/8) is divided by t?
16
Suppose -a - a + 10 = 0. Let i = a - -3. Let n = 2 + 20. What is the remainder when n is divided by i?
6
Suppose -3*u + 30 = o + 4*o, 0 = 2*u. Let x(k) = -11*k - 6. What is the remainder when x(-2) is divided by o?
4
Let t(v) = -16*v**3 + 25*v**2 + 19*v - 19. Let c(j) = 3*j**3 - 5*j**2 - 4*j + 4. Let u(k) = 11*c(k) + 2*t(k). What is the remainder when 10 is divided by u(6)?
4
Suppose -319 + 79 = -2*p. Suppose 5*s - 2*z - p = -5*z, -3*s = -4*z - 43. What is the remainder when s is divided by 8?
5
Let a = -1 - -1. Suppose -3*d - 5*f = -2 + 4, a = -2*d - 3*f. Suppose 9 = 3*w - 3. Calculate the remainder when d is divided by w.
2
Let u = 24 - -271. Suppose -8*r - u = -13*r. Calculate the remainder when r is divided by 18 + 5/(10/4).
19
Suppose -20 = -6*d + d. Suppose 2*p + d = -2. Calculate the remainder when (9/6)/(p/(-28)) is divided by 5.
4
Let a(c) = -c - 1. Let b be a(-3). Suppose -b*t + 3*t = 8. What is the remainder when t is divided by ((-6)/4)/(2/(-4))?
2
Suppose -d + 5 = 0, -d = -3*t + 2*d - 3. Calculate the remainder when 2*t + 9/(-9) is divided by 4.
3
Let l = -14 - -19. Calculate the remainder when 7 is divided by l.
2
What is the remainder when 35 is divided by 18*4*5/40?
8
Suppose -3*t - 20 = 2*t, 10 = 2*a + 2*t. What is the remainder when 31 is divided by a?
4
Let a(j) = -j**2 + 95 + 2*j**2 + 2*j**2 - 93 - j. Suppose -4*g + 14 = y, 4*y - 7 = g - 2. Calculate the remainder when a(1) is divided by g.
1
Let v(x) = -x**