et a be o(b). Calculate the remainder when j(a) is divided by 11.
10
Suppose 14*i + 174 = 16*i. Calculate the remainder when 260 is divided by i.
86
What is the remainder when 34 is divided by (-38)/(-8)*(-10 - -5 - -9)?
15
Let d = 33 - 27. Suppose -2 - 18 = -2*r + 4*l, -4*r = l - 13. Suppose 5*f - 16 = r. What is the remainder when d is divided by f?
2
Suppose -3*f - 3*a = -17 - 31, 2*a = 4*f - 52. Calculate the remainder when 69 is divided by f.
13
Suppose -s - 15 = -2*j + 6, -3*j - s + 29 = 0. Let c = 15 - 71. Let r = -29 - c. Calculate the remainder when r is divided by j.
7
Suppose 2*j = -5*t + 38, 0*t = -2*t + 8. Let s = 1 + 2. What is the remainder when 5/(-2)*(-30)/s is divided by j?
7
Let k(r) = r**2 - 6*r - 6. Let b be k(-10). Let y = b - 77. What is the remainder when y is divided by 28?
21
Suppose -5*p = -p - k - 6, 18 = 5*p + 4*k. Suppose 3*s + 7 = 5*l, -5*s - 3*l + 33 = -p*s. Calculate the remainder when 9 is divided by s.
3
Let g = -900 + 918. What is the remainder when 33 is divided by g?
15
Suppose -3*q + 2*a = -46, 4*q = 2*a - 4*a + 80. Suppose -5*l + 44 = -2*b, -2*l + 0*b + b = -q. What is the remainder when 18 is divided by l?
2
Let r(p) = 16*p - 7. Let c(j) = 7*j + 57. Let y be c(-8). What is the remainder when 2/((-6)/(-105)) + -1 is divided by r(y)?
7
Suppose 4*t + 5*x = 128, 11*t - 16*t + 7*x + 160 = 0. Calculate the remainder when 75 is divided by t.
11
What is the remainder when 90 is divided by 4/16 + (-508)/32*-2?
26
Let x = -26 + 49. Calculate the remainder when x is divided by 5 + (9/(-3) - -3).
3
Suppose 33*q - 2*a - 76 = 31*q, 5*a + 145 = 4*q. What is the remainder when 1042/8 - (-1)/(-4) is divided by q?
40
Suppose -20 = -8*u + 3*u. Suppose 20 = g - 2*t - 3, -5*g = -u*t - 121. Let r = g - 15. What is the remainder when 28 is divided by r?
8
Let y(x) be the third derivative of x**6/15 - x**5/60 - x**4/12 - x**3/6 - x**2. Let p = -7720 + 7734. What is the remainder when y(2) is divided by p?
13
Calculate the remainder when -9 + 269 + (-16)/4 is divided by 81.
13
Let j be (0 - (-9)/6)*12. Suppose 52 = 7*b - j. What is the remainder when 37 is divided by b?
7
Let b = 7 + -2. Let k(u) = -u**2 - 11*u - 9. Let j be k(-9). Suppose -4*v + j = -43. Calculate the remainder when v is divided by b.
3
Suppose 2*g = 5*q + 66, q + 132 = 4*g + 5*q. Calculate the remainder when 2637 is divided by g.
30
Suppose 14*r = 19 + 23. Calculate the remainder when (-12)/(-20) + 44/10 is divided by r.
2
Suppose 4*r - 18*r = -196. What is the remainder when 82 is divided by r?
12
Suppose 5*f = -6 + 46. Suppose 4*j - 61 = 87. Calculate the remainder when j is divided by f.
5
Let a(o) = 10*o - 4. Let r be a(5). Suppose -85 = -3*g - l, 3*g - 88 = -g + 5*l. Let m = r - g. What is the remainder when 56 is divided by m?
18
Let n(d) = d**3 + 16*d**2 - 38*d - 32. Let h be n(-18). Suppose h*t = -4*q + 140, -3*q + 5*q = t + 58. Calculate the remainder when 154 is divided by q.
30
Suppose 0 = 2*w + o - 147, -3*w - 3*o = -131 - 88. What is the remainder when w is divided by 13?
9
Suppose -413 = 3*r + 2*x - 1717, 4*r + 4*x - 1740 = 0. What is the remainder when r is divided by 40?
34
Suppose 509 = 5*b + 4*u, -10*b - 2*u - 218 = -12*b. Calculate the remainder when b is divided by 19.
10
Suppose o = j - 6, 3*o - 2*o = 5*j - 22. Let b = 413 - 398. Calculate the remainder when b is divided by j.
3
Let d = 333 - 278. Calculate the remainder when 158 is divided by d.
48
Let k be (7 - 2) + 2 - 5. Let a(o) = 25*o + 13. Calculate the remainder when a(k) is divided by 13.
11
Suppose -z + 12 = -4*h, 5*z = -2*h - 3*h + 35. Calculate the remainder when 67 is divided by z.
3
Let k = -1444 - -1455. What is the remainder when 515 is divided by k?
9
Let z be (-1468)/16 - (-6)/8. Let l = -61 - z. Let h(c) = -c**3 + 2*c**2 + 3*c - 2. Calculate the remainder when l is divided by h(-2).
6
Let p(h) = h**2 - 5*h - 3. Let m be p(5). What is the remainder when (m/1)/(2/(-12)) is divided by 3?
0
Let n = 3 - 1. What is the remainder when -79*(-3 + n) - 2 is divided by 20?
17
Suppose 0*i = 4*i - 124. Let n = 3 - -8. What is the remainder when i is divided by n?
9
Let u(y) = -2*y**2 - 37*y - 56. Calculate the remainder when u(-16) is divided by 22.
2
Suppose -25*j = 503 - 1828. What is the remainder when j is divided by 7?
4
Let x be (-554)/(-6) - (-34)/51. Let r = x - 73. Calculate the remainder when 58 is divided by r.
18
Let d = 833 + -825. What is the remainder when 12 is divided by d?
4
Let y(z) = 2*z**3 - 2*z**2 + z + 332. Calculate the remainder when y(0) is divided by 67.
64
Let f(z) = -28*z + 296. Calculate the remainder when (66/(-4))/(1/(-2)) is divided by f(10).
1
Suppose 0 = 3*h + 3 - 9. What is the remainder when (3 + 44/8)*h is divided by 8?
1
Suppose 5*d - k - 129 = 0, -4*d - 2*k + 3*k = -104. What is the remainder when 53 is divided by d?
3
Let m = 15 + -7. Let u be m - (15/(-5) + 1). What is the remainder when 45 is divided by (-20)/6*(-48)/u?
13
Let t = 107 - 79. Let b = t - 10. Calculate the remainder when 87 is divided by b.
15
Let b = -79 - -86. What is the remainder when 48 is divided by b?
6
Let g = 102 + 16. Suppose -5*h + 5*s = -g + 38, h + 5*s = 10. Let x(v) = 89*v - 170. What is the remainder when h is divided by x(2)?
7
Suppose -234 + 81 = -9*t. Let b = 0 - -98. What is the remainder when b is divided by t?
13
Suppose -3*i + 3 - 2 = 5*w, -36 = -4*i + 2*w. Let l = -36 + 32. What is the remainder when l/(-4) - (-17 + 0) is divided by i?
4
Suppose 2 = -4*n + 4*a + 10, 4*n = 5*a + 8. Suppose 72 = 3*s - 3*h - 2*h, -5*s + h + 98 = 0. What is the remainder when (-148)/(-2)*n/4 is divided by s?
18
Let b(j) = j**3 + j**2 - 2*j - 4. Let l be b(-3). Suppose -h + 3 = -2. Calculate the remainder when 20 is divided by (-44)/l*(h + -1).
9
Let b(g) = -g**3 - 5*g**2 - 3*g + 3. Suppose -237*t - 128 = -241*t. What is the remainder when t is divided by b(-5)?
14
Let m(n) = 25*n - 164. Calculate the remainder when m(11) is divided by 25.
11
Let g = -27 + 25. Let o(j) = 27*j**2 + 7*j. Calculate the remainder when o(g) is divided by 32.
30
Let f(o) = 9*o + 4. Let r be f(-1). Suppose 3*c = -s + 24, 0 = 2*c + 3*s + s - 16. What is the remainder when c is divided by ((-6)/(-10))/(r - (-255)/50)?
2
Let a = 103 - 100. Suppose w + g = -w + 8, 0 = 4*w - 5*g - 30. Suppose 2 = -4*t + w*t. What is the remainder when a is divided by t?
1
Let b = 997 - 962. What is the remainder when 311 is divided by b?
31
Let b = -77 - -116. Suppose 5*k + 4*j + 34 = 6*k, 3*j + 1 = -k. What is the remainder when b is divided by k?
11
Suppose 0 = -0*h + h - 1. Let p = h - -25. What is the remainder when p is divided by 7?
5
Let q = 16 + -3. Suppose -161 = -81*p + 4618. Let i = p - q. What is the remainder when i is divided by 13?
7
Suppose -c + 3 = -5. What is the remainder when 62 is divided by (-41)/(-2) - ((-12)/c + 1)?
20
Suppose 2*w - 4*t - 28 = 0, -45 = -5*w + 7*t - 2*t. Let f(m) = m**2 + 2*m. Let p be f(-2). Let l = w + p. What is the remainder when 7 is divided by l?
3
Let x(d) = d + 1. Let t be x(11). Suppose s = -2*s + t. Calculate the remainder when (-177)/(-6) - 6/s is divided by 10.
8
Calculate the remainder when 185 is divided by (-11 - (-242)/33)/(1/(-3)).
9
Suppose 3*b - 16 = 17. Let h(n) = n**2 - 12*n + 13. Let r = 3 - 2. Calculate the remainder when h(b) is divided by r.
0
Suppose -5*x - 7 = -87. Let c = -522 - -553. What is the remainder when c is divided by x?
15
Suppose -3*d = -7*d + 20. Suppose -19 = -4*j + 33. Calculate the remainder when 49/(d - 16/4) is divided by j.
10
Suppose 0 = 4*j - 2*k - 188, -2*j + 3*k + 0*k = -98. Let s = j + -70. What is the remainder when 61 is divided by (6 - 2)/((-6)/s)?
13
Let f(a) = 10*a**2 - 4*a - 2. Calculate the remainder when 94 is divided by f(-1).
10
Let j(g) = g**3 + 4*g**2 + 4. Suppose 3*f + 720 = 7*f. Suppose 0 = 5*x - 0*x - f. What is the remainder when x is divided by j(-3)?
10
Let j be -1 + (-7)/(35/(-20)). Suppose -5*n + 3*c = -161, n - j*c = -2*c + 33. Calculate the remainder when n is divided by 8.
7
Suppose -5*d + 6*l - l = -115, 4*d - 86 = 2*l. Suppose 0 = 4*r - 28 - 0. Let i(z) = -z**2 + 11*z - 17. Calculate the remainder when d is divided by i(r).
9
Calculate the remainder when 602 is divided by 7/(28/8) + 126 + -7.
118
Let c