he remainder when (0 + (-2)/b)*-2*31 is divided by 11.
9
Let a(m) = -3*m**3 + 1. Let u be a(-1). Suppose -463 = -2*k + 3*h + 2*h, 2*k + u*h = 418. Calculate the remainder when k is divided by 20.
19
Suppose 5*f = -4*x + 40, -31 = -4*f - 5*x + 2*x. Suppose f*p - 88 - 36 = 0. What is the remainder when 58 is divided by p?
27
Let p(t) = t**2 - 10*t - 140. Calculate the remainder when p(22) is divided by 33.
25
Let c(f) = -34*f + 62 - 24*f**2 - 11 + 13*f - f**3. Calculate the remainder when 26 is divided by c(-23).
1
What is the remainder when (-35)/(-2) + (-2)/(-4) is divided by 8?
2
Suppose 12*q - 5*q = -1099. Let m = -294 - q. Calculate the remainder when (-8)/36 + m/(-9) is divided by 8.
7
Suppose 2 - 17 = -5*i. Calculate the remainder when ((-6)/(-21))/(2/14) - -14 is divided by i.
1
Let r be (-134280)/(-198) - (-2)/(-11). What is the remainder when (-4)/6 + r/18 is divided by 20?
17
Let m = 8229 + -8208. Let a(i) = i - 1. Let s be a(-3). Let b = 10 + s. Calculate the remainder when m is divided by b.
3
Suppose 6*v = 103 + 89. What is the remainder when 382 is divided by v?
30
Let f(q) = q**2 - 7*q - 35. Let g(i) = 3*i + 9. Calculate the remainder when f(11) is divided by g(-2).
0
Suppose 0 = -3*n - 5*b + 15, 3*n - 3*b = -2 - 7. Suppose n = -9*i + 4*i + 205. Calculate the remainder when i is divided by 11.
8
Suppose -4*t - z = -484, -z + 5 = 1. Let x = t + -74. Calculate the remainder when x is divided by 12.
10
Suppose -14*z + 1983 = 5*i - 18*z, -2*i - 3*z = -807. Calculate the remainder when i is divided by 10.
9
Let m be (-6)/(-2) - 3 - -2. Suppose 0 = -2*y - m*p - p + 24, -y + 7 = 4*p. Calculate the remainder when 73 is divided by y.
13
Suppose -4*p - r = -318, -2*p - 3*r = -8*r - 170. Let w = 96 - p. What is the remainder when 109 is divided by w?
13
What is the remainder when 364 is divided by 146/3*27/18?
72
Let b(z) = -z**2 + 9*z. Let r be b(7). Suppose -3*y = -3*d - 15, 4 - r = 3*d - 4*y. Let p(c) = -3*c - 10. What is the remainder when p(d) is divided by 7?
6
Let v = 2 + 2. Suppose 0 = -2*u + 3*u - 33. Suppose 3*w = -0*w + u. What is the remainder when w is divided by v?
3
Suppose -115 = 10*v - 5*v. Let n = v - -31. What is the remainder when 14 is divided by n?
6
Let q = 82 - 73. Suppose -q*n = -3*n - 162. What is the remainder when 105 is divided by n?
24
Let p be (12/18)/(2/3) + 3. Suppose -139 = -p*n - 11. Calculate the remainder when 94 is divided by n.
30
Let l = 4 + 154. Let f = -31 - -71. What is the remainder when l is divided by f?
38
Let n = -40 + 67. Let u = n + -20. What is the remainder when 19 is divided by u?
5
Let y(k) = 6*k**2 - 8*k + 13. What is the remainder when y(3) is divided by 15?
13
Suppose 5*j - 11*z - 809 = -12*z, -5*z = -4*j + 624. Calculate the remainder when j is divided by 28.
21
Suppose 0 = f - 251 + 94. Calculate the remainder when f is divided by 10.
7
Let i(l) be the third derivative of -l**6/120 - l**5/20 - l**4/12 + 5*l**3/6 + 19*l**2. Let a = -11 - -7. What is the remainder when i(a) is divided by 10?
9
Let h(u) = -u**3 + 46*u**2 - 46*u + 57. Calculate the remainder when h(45) is divided by 10.
2
Let b = 1249 - 1048. Calculate the remainder when b is divided by 44.
25
Suppose -4*v + 12 = -0*v. Suppose 4*r = v*r + 46. What is the remainder when r is divided by 6?
4
Suppose 0 = 4*q - 12*t + 16*t - 400, -2*q + t = -200. What is the remainder when 1097 is divided by q?
97
Let x = -12 - 16. Suppose 334 = 5*v - 2*l, -v - l = 3*l - 58. Let b = v - x. Calculate the remainder when b is divided by 24.
22
Let z = 15 - -23. Let x be 8/28 + z/14. Suppose -x*j + 16 = 2*d, 3*j = -0*j - 4*d + 14. Calculate the remainder when 22 is divided by j.
4
Let c = -60 - -92. Let x = -37 - -60. Calculate the remainder when c is divided by x.
9
Let y(t) = 3*t + 89. Calculate the remainder when y(-12) is divided by 15.
8
Suppose k - 4*k - 2*b + 44 = 0, -5*k = -4*b - 66. Let h = -9 - -14. Suppose n = 36 + h. What is the remainder when n is divided by k?
13
Suppose t + 44 - 196 = 0. Suppose -d = 7*d - t. Calculate the remainder when d is divided by 17.
2
Let c(a) = 48*a**2 - 14*a + 15. Calculate the remainder when 104 is divided by c(1).
6
Let k(m) = 12*m**3 + 2*m**2 - 3*m + 1. Let z(v) = 2*v**2 + 11*v - 9. What is the remainder when z(-8) is divided by k(1)?
7
Suppose 0 = 3*h - 40 - 14. What is the remainder when ((-50)/20)/((-1)/26) is divided by h?
11
Suppose -10*a + 132 - 2 = 0. Calculate the remainder when 1*-1*2 - -24 is divided by a.
9
Suppose -11*d + 1787 = 280. What is the remainder when d is divided by 35?
32
Let j = -72 - -127. What is the remainder when j is divided by 21?
13
Let b(h) = -h**2 - 12*h - 5. Let p(g) = 17*g - 20. What is the remainder when b(-8) is divided by p(2)?
13
What is the remainder when (-2910)/(-54) + 5/(-405)*-9 is divided by 25?
4
Suppose -3*v + 7*v - 60 = 0. Suppose -2*z - 3*y = -10, 0 = z + 5*y + 24 - 22. What is the remainder when v is divided by z?
7
Suppose -7*y - 57 = 20. Let f(r) = -r**2 - 8*r - 6. Calculate the remainder when (-1 + y/(-3))*6 is divided by f(-6).
4
Let w(t) = 22*t**3 - t**2. Let a be (-4)/(-22) - (-5 + (-276)/(-66)). Let y = 42 - 30. Calculate the remainder when w(a) is divided by y.
9
Suppose -2*d + 86 + 92 = 2*t, -4*t + 358 = 2*d. What is the remainder when 1168 is divided by t?
88
Let k(y) = 11*y + 2. Let m be k(1). Suppose 2*f + 5 = -m. What is the remainder when 4/18 - 421/f is divided by 12?
11
Let t = 557 + -507. What is the remainder when t is divided by 9?
5
Let o = 32 - 69. Let p = 5 - o. What is the remainder when p is divided by 11?
9
Suppose -5*l + a + 1065 = 0, 2*a = -2*l + 564 - 150. Suppose -678 = -m - 5*m. Let p = l - m. Calculate the remainder when p is divided by 25.
24
Suppose f + 4*d - 51 = 19, 6 = 3*d. Suppose -2*v + 63 = v. Calculate the remainder when f is divided by v.
20
Let k = 28 + -29. What is the remainder when -2 + 136*(-1)/k is divided by (9/2)/((-4)/(-24))?
26
Let k be (45/10)/(6/(-16)). What is the remainder when 28 is divided by (80/k)/(2/(-3))?
8
Let a(i) = -25*i - 140. What is the remainder when a(-8) is divided by 7?
4
Suppose 2*x - 58 + 68 = 0. Calculate the remainder when 4/x + 1 - 408/(-10) is divided by 11.
8
Let b = -4 + 19. What is the remainder when -1*2*516/(-24) is divided by b?
13
What is the remainder when 83/1 + (-5 - 8 - -10) is divided by 24?
8
Let z(c) = 10*c. Suppose o = 4*o - 2*l - 181, -2 = l. Calculate the remainder when o is divided by z(3).
29
Let b(i) be the third derivative of -i**6/120 + 7*i**5/30 - 2*i**4/3 + 11*i**3/3 + 21*i**2. Calculate the remainder when b(12) is divided by 10.
8
Let v(x) = -4*x**2 + 18*x - 12. Calculate the remainder when 77 is divided by v(2).
5
Let d = 93 - 91. Suppose -2*x = 3*k - 13 - 30, 2*k + d*x = 32. Calculate the remainder when 51 is divided by k.
7
Let n = 71 - 34. Let c = -18 + 7. Let x = 9 - c. What is the remainder when n is divided by x?
17
Let f be (-7)/(7/(-4)) + -4. Suppose f = 5*h - 25, -p - 29 = 2*h - 76. What is the remainder when 71 is divided by p?
34
Let p = -61 + 75. Let u = -21 - -46. Calculate the remainder when u is divided by p.
11
Suppose -3*w + 22 = -20*t + 22*t, 4*w - t - 22 = 0. Calculate the remainder when 40 is divided by w.
4
Let b(z) = -z**3 - 3*z**2 - 6*z - 6. Let d be b(-2). Calculate the remainder when (23 - (2 - 2))*d is divided by 10.
6
Let a(b) = 484*b - 23. What is the remainder when a(1) is divided by 58?
55
Let i = -315 - -371. What is the remainder when 279 is divided by i?
55
What is the remainder when 4/((-8)/6) + 86 is divided by (6 - (-22)/(-4))*58?
25
Calculate the remainder when 41 is divided by 69 + -66 + (1 - (1 - 11)).
13
Let f be (4/14)/(10/350). Suppose 3*n = 5 + f. What is the remainder when 6 is divided by n?
1
Let x(p) = -p**3 - 5*p**2 + 17*p + 25. Let y be x(-7). Suppose 2*v = -0*s - y*s + 422, 540 = 5*s + 5*v. Calculate the remainder when s is divided by 27.
22
Suppose -14 = -j - 3*i, 3*i + 116 = 4*j - 0*i. Let w = -28 + j. Calculate the remainder when 3 is divided by w/10 + 54/45.
0
Suppose 130*d - 85*d = 6165. What is the remainder when d is divided by 53?
31
Let y(u) be the first derivative of 21/2*u**4 + 1/2*u**2 - 4 + 0*u**3 + 0*u. Calculate the remainder when y(1) is divided by 11.
10
Suppose -3*z - o = z - 153