 v - 22. What is the remainder when u is divided by 8?
7
Suppose -2*y + 6*d + 19 = 3*d, 0 = -5*y + 4*d + 37. Let u(m) = m**2 - 7*m - 6. Calculate the remainder when y is divided by u(8).
1
Let t(j) = j**3 + 2*j**2 + 13*j - 4. Let w(p) = -p**3 - 3*p**2 - 12*p + 5. Let v(m) = 4*t(m) + 5*w(m). Calculate the remainder when v(-7) is divided by 34.
31
Let n(x) = -x**2 - 17*x + 9. Calculate the remainder when 24 is divided by n(-17).
6
Let k = -1 + 3. Calculate the remainder when 2 + (2 - 6/k) is divided by 1.
0
Let t(w) = -w**3 + 3*w**2 - 4. Let m be t(-3). Suppose 2*o - m - 36 = 0. Calculate the remainder when o is divided by 11.
10
Let y = -19 - -33. Calculate the remainder when 65 is divided by y.
9
Calculate the remainder when 17/(-136) + (-898)/(-16) is divided by 31.
25
Let c = 101 + -71. Calculate the remainder when c is divided by (-852)/(-54) + (-4)/(-18).
14
Calculate the remainder when 12 is divided by (-2 + 7 + -1)*10/4.
2
What is the remainder when (-642)/(-27) - 10/(-45) is divided by 13?
11
Let p(c) = 5*c - 15. What is the remainder when 28 is divided by p(6)?
13
Suppose -5*q - 2*m = 0, 5*q + 2*m = -m - 5. Suppose q*z - 66 = 3*h, -2*z + 12 + 54 = -2*h. What is the remainder when z is divided by 17?
16
Let p(f) = -f**2 + 4*f - 1. Let r be p(3). Let a(w) = 3*w**2 - 2. Suppose -z - 30 = -2*k + 3, 12 = 4*z. What is the remainder when k is divided by a(r)?
8
Suppose 0 = -11*v + 9*v - 4. Let z(i) = 2*i. Calculate the remainder when z(5) is divided by 2 + (v + 0 - -4).
2
Let y be (1 + -2 + 1)/3. Suppose y*z - 46 = -2*z. What is the remainder when z is divided by 12?
11
Suppose -o = 3*o - 12. Suppose -h + o*h = 26. Let w = 32 - h. Calculate the remainder when w is divided by 7.
5
Calculate the remainder when 53 is divided by (-3)/((-34)/28 - -1).
11
Suppose -w = -2*w + 68. Calculate the remainder when w is divided by 23.
22
Let f = 32 - 23. Calculate the remainder when f is divided by 6.
3
Let w(v) = 2*v**2 + 4*v + 4. Calculate the remainder when w(-2) is divided by 2.
0
Suppose -f - 17 = -5*w, -w - 5*f - 7 = -0*f. Suppose -36 = s - w*s. Calculate the remainder when s is divided by (26/(-6) - -1)*-3.
8
Let b = -10 + 8. Let z be 0/b*6/(-12). Suppose z = 4*c - 2*d - 106, 2*c - 17 = -3*d + 24. Calculate the remainder when c is divided by 13.
12
Suppose 3*d - 5*i - 381 = 0, 6*i = 2*d + 3*i - 255. Suppose 2*y - 5*f + 0*f - d = 0, f - 164 = -3*y. Calculate the remainder when y is divided by 15.
11
Calculate the remainder when 89 is divided by 46/(3 + -1) - 0.
20
Suppose -40 - 1 = -p. Suppose 1 = -5*j + 91. Suppose -w - 3 + j = -4*r, -3*w = 3*r - 30. What is the remainder when p is divided by w?
8
Let o = -19 + 67. Suppose -2*n = 2*n - o. What is the remainder when 22 is divided by n?
10
Suppose 2*r = 4*h + 22, 4*h = 3*h - 5. Suppose 125 = 5*w - 0*w. What is the remainder when w is divided by 11 - 1*(r + 1)?
7
Suppose c + 5*i + 14 = 0, 5*c - 4*i = 6*c + 9. Let m = 24 - -7. Calculate the remainder when m is divided by c.
9
Suppose 3*h + 4 = 4*h, -4*o + 120 = h. Suppose -4*f = 3*i - 213, -2*i + 3*i + 5*f = 60. Suppose -5*r + i = -0*r. What is the remainder when o is divided by r?
14
Suppose 2*q + 28 = 5*b + 94, 2*b = -4*q + 84. Suppose 0 = -2*y + 2, f = 2*y - 3*y - 1. Let p = 10 - f. Calculate the remainder when q is divided by p.
11
Let g = 8 + -6. Let y be g - (0 + 0 - -8). Let f = 6 - y. What is the remainder when 34 is divided by f?
10
Let y = 24 + -6. What is the remainder when y is divided by 7?
4
Suppose -3*q + 66 = 18. Suppose -4*r + 88 - q = 0. Let c(h) = 8*h - 90. What is the remainder when c(20) is divided by r?
16
Calculate the remainder when 16 is divided by 96/(-336) + (1 - 74/(-14)).
4
Let h = 91 - 277. Let a be (h/(-9))/((-2)/(-3)). Let s = a + -15. Calculate the remainder when s is divided by 9.
7
Let r(l) = -8 + 1 + l**3 - 11*l**2 - 13*l - 2*l**3. What is the remainder when 43 is divided by r(-10)?
20
Suppose 6*x - 4 = 5*x. Calculate the remainder when 10 is divided by x.
2
Let r = -4 - -8. Suppose -4*i + r = w, -3*i - 2*w = -2*i - 8. Suppose i*y = 4*y - 32. What is the remainder when 13 is divided by y?
5
Calculate the remainder when (-1)/(-2) - 82/(-4) is divided by 13.
8
What is the remainder when 2/4 - (-3045)/58 is divided by 11?
9
Let a(t) = t**3 + t**2 + 47. What is the remainder when a(0) is divided by 9/27 + (-148)/(-6)?
22
Suppose 5*p + 0*l - 90 = -4*l, -p + 3*l - 1 = 0. Suppose 0 = 3*d - 5*k - 58, d - p - 12 = 3*k. Let y = 8 + d. Calculate the remainder when 37 is divided by y.
18
Calculate the remainder when (86/(-6))/(8/(-24)) is divided by 11.
10
Let z(a) = 8*a**3 + 5*a**2 - 2*a - 1. Calculate the remainder when z(2) is divided by 20.
19
Let u be 30/6 - 6/2. Suppose -2*l + 50 = -u*p, 5*l - 2*p - 114 - 23 = 0. Let t = 23 - 13. Calculate the remainder when l is divided by t.
9
Suppose -2*q = 4*m - 60, 2*m - 21 = m - 2*q. Suppose -3*r + 299 = 4*t, -t = 3*r - 8*r - 69. Suppose -d - d = -t. What is the remainder when d is divided by m?
11
Let y(k) = 11*k - 4. Let x be y(-6). Let j = -136 - x. What is the remainder when (-8)/(-6)*j/(-4) is divided by 8?
6
Suppose 39 = -0*c + 3*c. Suppose -3*u = -9, c = j - 0*j + 4*u. Calculate the remainder when j/2*(46 - 0) is divided by 12.
11
Let z(p) = p**3 + 5*p**2 + 4*p + 2. Let w be z(-4). Suppose -b + 129 = w*b. Suppose -2*n + 36 = 6. Calculate the remainder when b is divided by n.
13
Let s be (8 + 16/4)*2. Suppose -s = -3*u + 2*k, 3*k + 10 = 3*u - 11. What is the remainder when 38 is divided by u?
8
What is the remainder when 4/3*231/7 is divided by 25?
19
Let u(h) = 58*h + 14. Let g be u(6). Suppose -6*w + g = -w - 3*q, q + 214 = 3*w. Calculate the remainder when w is divided by 18.
16
Let t(p) = 4*p**2 + p - 1. Let b = -10 - -32. Let u = -11 + b. What is the remainder when t(-3) is divided by u?
10
Let o be 5/2*8/10. Suppose 7*m = 4*z + o*m - 29, -2*m + 61 = 5*z. Calculate the remainder when z is divided by 4.
3
Calculate the remainder when 49 is divided by (-153)/(-6) - (1 + (-5)/2).
22
Suppose 2*x = 3*x - 75. Calculate the remainder when x is divided by 19.
18
Suppose 0 = -t - t + 8. What is the remainder when 98*(2 + 3/(-2)) is divided by 20*1 + -7 + t?
15
Suppose 7*r - 168 = 2*r - 2*w, -2*r + 44 = -5*w. Calculate the remainder when r is divided by 20.
12
Let w(d) = 8*d + 71. What is the remainder when w(0) is divided by 36?
35
Suppose 3*w + 2*o - 311 = 3030, -3*w = 4*o - 3337. Suppose w = 3*b + 2*b. Suppose -4*p - 75 + b = 0. Calculate the remainder when p is divided by 13.
11
What is the remainder when (3/(-2))/((-3)/64) is divided by 17?
15
Let r = 95 - 91. What is the remainder when 10 is divided by r?
2
Suppose -114 = 3*u - 162. What is the remainder when 687/15 - 1/(-5) is divided by u?
14
Suppose -g - 39 = 5*l, -2*g - 2*l - 48 = 2*l. Let p = -10 - g. Suppose s = p*s - 30. Calculate the remainder when 19 is divided by s.
9
Let d = 81 - 35. What is the remainder when d is divided by 12?
10
Let k(r) = r**2 - 2*r. Let s be k(8). Let x = s + -28. Suppose -x = -i - i. What is the remainder when 19 is divided by i?
9
Let z(c) = -c - 13*c - 1 - 15*c. Let r be z(-1). Calculate the remainder when 2/(-7) - (-624)/r is divided by 8.
6
Calculate the remainder when 21/1 - (-10)/(-5) is divided by 5.
4
Suppose 37*c = 33*c + 100. What is the remainder when 72 is divided by c?
22
Let s = -9 - -52. What is the remainder when s is divided by 22?
21
Let d(c) = 6*c**3 - 2*c. Suppose l - 6 = -2. Suppose 2*z = 3*p - 2*p - 7, -4*z = -l*p + 44. What is the remainder when d(2) is divided by p?
14
Let w be (8/5)/(4/110). Let i = w - 36. Let n = 5 + -2. What is the remainder when i is divided by n?
2
Let b be (-3)/(-7) + 32/7. Suppose 23 = 4*c - b. What is the remainder when 12 is divided by c?
5
Let n = 3 - -16. Suppose 2*z + 6 = 5*z. Let p = 5 + z. What is the remainder when n is divided by p?
5
Let c(v) = -v + 4. Let o be c(3). Let l(q) = 9*q + 1. What is the remainder when (-1384)/(-48) - (-3)/(-36)*-2 is divided by l(o)?
9
Let w = -174 - -38. Let v = -97 - w. Calculate the remainder when v is divided by -25*1/((-20)/8).
9
Calculate the remainder when 34 is divided by (-65)/(-7) + -6*(-5)/(-105).
7
Let u = 83 + -76. What is the remainder when 9 is divided by u?
2
Let n be (4/(-3))/(3/(-9)).