e 3*o = 4*r - 30, -5*r - 12 = 4*o - 65. Let w = r + -6. Suppose -6*a = -a - 5*n - 35, 0 = 2*a - w*n - 18. Calculate the remainder when a is divided by 2.
1
Suppose -18*u + 16*u - 3*r + 99 = 0, 0 = 3*u - r - 132. What is the remainder when 717 is divided by u?
42
Let j be (0 + 1)/((-4)/(-72)). Suppose -2*p - 2*n = p + j, -5*n = -p - 6. Let x(k) = -2*k. What is the remainder when x(p) is divided by 5?
2
Let d = -38 - -39. What is the remainder when 7 is divided by d?
0
Suppose 0 = -52*s + 54*s - 126. Let q = 6 + s. What is the remainder when q is divided by 14?
13
Let h(p) = -p**2 + 15*p - 6. What is the remainder when 264 is divided by h(4)?
36
Suppose 16*h - 15*h = 3. Suppose -c = -h*w + 28, c + 30 = 4*w - 4*c. Calculate the remainder when 68 is divided by w.
8
What is the remainder when 48 is divided by (-6)/10 + ((-204)/5)/(-3)?
9
Let d = 881 - 878. Let c = 6 + -4. Calculate the remainder when c - (1 + -13)/2 is divided by d.
2
Let v be (-270)/1 - 12/4. Let c = 452 + v. What is the remainder when c is divided by 45?
44
Suppose 135 = 4*k + 5*o, 0*k + 3*o = -2*k + 65. Suppose -4*y = 4, -5*y = -2*i + 3*i + k. Let g = i - -39. Calculate the remainder when 18 is divided by g.
2
Let t = -624 - -871. Calculate the remainder when t is divided by 21.
16
Suppose 0 = 2*f, 2*n + 3*n + 2*f - 680 = 0. Calculate the remainder when n is divided by 14.
10
Let g(r) = 36*r**2 - 2*r - 2. Let j = 46 + -33. What is the remainder when g(-1) is divided by j?
10
Let l = 1249 - 855. What is the remainder when l is divided by 37?
24
Let y(j) = -j**2 - 6*j - 6. Let k be y(-4). Let r be (-1 + -174)*10*6/(-150). Let g = k + r. Calculate the remainder when g is divided by 19.
15
Calculate the remainder when (-12)/24*(-101 - (-6)/2) is divided by 31.
18
Let a(k) = 2*k**2 - 66*k + 307. Let f be (0 - 1)*(0 - 22). Let i = 37 - f. What is the remainder when a(5) is divided by i?
12
Let n(r) = -3*r + 14. Let b(y) = 1. Let w(f) = 3*b(f) - n(f). What is the remainder when w(12) is divided by 13?
12
Suppose 0 = -14*a + 13*a + 57. Calculate the remainder when 566 is divided by a.
53
Suppose -5 + 25 = 5*f. Suppose 2*p - 12 + 42 = 0. Let u = 17 + p. What is the remainder when f is divided by u?
0
Suppose -4*g = 3*i - 1297, 3*g + i + 167 - 1136 = 0. Calculate the remainder when g is divided by 37.
26
Let v = 104 + -112. Let f = v + 37. Calculate the remainder when 142 is divided by f.
26
Suppose y + 9 = 5*p - 5, p - 6 = -3*y. Suppose d = -2*d - 3*z + 48, -p = -z. Calculate the remainder when d is divided by 4.
1
Calculate the remainder when 2/11 + 3143/77 is divided by 6.
5
Let l = 1 + 2. Suppose -o = -l*o + 8. Suppose 2*s + 6 = 3*s. What is the remainder when s is divided by o?
2
Suppose 3*b = 4*r + 19, b - 15 = -2*b. Let n = r + 29. What is the remainder when n is divided by 5?
3
Suppose 0 = 124*y - 121*y - 258. Calculate the remainder when y is divided by (-3)/1 - 125/(-5).
20
Calculate the remainder when 56 is divided by (10/(1 + 1))/(16/32).
6
Calculate the remainder when 53 is divided by 4/(140/609) - (-3)/5.
17
Let u = 830 - 704. What is the remainder when 626 is divided by u?
122
Let a(c) = 5*c - 4. Let w(s) = s**3 + 8*s**2 - 2*s - 44. What is the remainder when a(7) is divided by w(-7)?
12
Let g(j) = -j. Suppose -2*r - 2 = -f, -f - 9 - 1 = 4*r. Let w be g(r). Calculate the remainder when (500/30)/(w/3) is divided by 7.
4
Suppose -48 = -18*m + 6. Calculate the remainder when 16 is divided by m.
1
Let h = 4 + 21. Suppose 3*q - 86 = -5*o, h = 2*o + q - 9. What is the remainder when 30 is divided by o?
14
Suppose -31*o = -32*o + 2*y + 46, 0 = -o - y + 58. Calculate the remainder when 105 is divided by o.
51
Suppose g + 116 = 2*u, 624 = -5*g + u - 2*u. Let i = g - -168. What is the remainder when i is divided by 32?
12
Let m(t) = -t**3 - 18*t**2 - 21*t - 61. What is the remainder when 104 is divided by m(-17)?
6
Let p = -48 - -48. Suppose -w + 3*b + 21 = p, -w = 4*w + 5*b - 65. What is the remainder when 29 is divided by w?
14
Suppose j = -5*n + 62, 59*j + 204 = 63*j - 2*n. What is the remainder when j is divided by 1?
0
Suppose -17 = 4*f + 3, -4*x - 5*f = -379. Let q = x - 67. Calculate the remainder when q is divided by (-107)/(-6) - 1/(-6).
16
Let y(s) = 15*s + 15. What is the remainder when y(0) is divided by 3?
0
Suppose 2*z = x - 29, 0 = 4*x - 4*z + 9*z - 129. What is the remainder when 307 is divided by x?
28
Let j(p) = p**3 + 8*p**2 + p - 15. Suppose -2*m - 18 = -4. What is the remainder when 80 is divided by j(m)?
26
Let m(s) = 2*s**3 + 10*s**2 + s - 3. Let a be m(-5). What is the remainder when (11/(-2))/(3/(-6)) is divided by (-46)/a + (-6)/(-24)?
5
Suppose -5*z - 365 = -5*t - 0*z, 0 = t - 4*z - 73. Calculate the remainder when t is divided by (-186)/(-10) - 4/(-10).
16
Let r(z) = -14*z - 13. Let f be r(-5). Let h = f + -30. What is the remainder when h is divided by 10?
7
Suppose -6*j - 2134 = -17*j. Calculate the remainder when j is divided by 49.
47
Suppose 0*l - 2*l + 14 = 0. Suppose -l*a = -6*a - 2. Suppose w = 9 + a. Calculate the remainder when 19 is divided by w.
8
Calculate the remainder when 329 is divided by (-50)/(-10) + -2 - (-110 + 1).
105
Suppose 37*x - 26*x - 176 = 0. What is the remainder when x is divided by 4?
0
Let t = 39 + -26. Let y(m) = 44*m**2 + m - 2. Let c be y(1). Let a = c - 5. Calculate the remainder when a is divided by t.
12
Let h(k) = 11*k**2 - 9*k - 3. Calculate the remainder when 411 is divided by h(3).
66
Calculate the remainder when (-4)/5 + (-4074)/(-30) is divided by 57.
21
Suppose 2*q = -3*n + 3*q + 12, -2*n = -2*q - 8. Let i = 2 + n. Calculate the remainder when 41 is divided by i.
5
Suppose 1141 = 29*i + 126. What is the remainder when i is divided by 18?
17
Let h = -2 - -43. Let s = h + -14. Calculate the remainder when s is divided by 10.
7
Suppose 0 = -2*k - 0*k + 2, -222 = -5*b - 2*k. Suppose 6*p + 82 = -b. Let w = 39 + p. Calculate the remainder when 33 is divided by w.
15
Let a(j) = -j**2 - 2*j - 4. Let g be a(-3). Let f = 3 - g. Suppose 2*c + 2*c = 72. What is the remainder when c is divided by f?
8
Let m = -189 + 268. Let b = 144 - 123. What is the remainder when m is divided by b?
16
Suppose -27*a + 937 = -2546. What is the remainder when a is divided by 45?
39
Let h = 247 + -227. What is the remainder when 78 is divided by h?
18
Let o = 29 - 25. Suppose o*l - 49 = -5*m, 42 = 4*l + m + 13. Calculate the remainder when l is divided by 5.
1
Let f be 142/1 + 1 + 4 + -3. Suppose 0 = -10*l + 19*l - f. What is the remainder when l is divided by 8?
0
Let i = -89 + 29. Let a = i - -128. Let y(v) = v**3 + 7*v**2 - 3*v + 2. What is the remainder when a is divided by y(-7)?
22
Let r(m) = -m**2 + 6*m. What is the remainder when 110 is divided by r(2)?
6
Suppose 5*q - 5*j - 4 = -j, 3*q - 20 = -2*j. Suppose -18 = -q*h + 10. What is the remainder when h is divided by 4?
3
Suppose -62*p = -6*p - 3584. Calculate the remainder when p is divided by 15 + -1 + (-3 - -2).
12
Suppose 172 = 4*x + 4*j - 0*j, 5*j - 51 = -x. Suppose x = 5*o - 24. Let u(m) = m**2 - 4*m + 4. What is the remainder when u(7) is divided by o?
12
Let t be 5/((-5)/(-3)) - (-6)/(-2). Suppose 89*r - 84*r - 140 = t. Calculate the remainder when 111 is divided by r.
27
Suppose 2*h + u - 2*u + 50 = 0, -53 = 3*h + 4*u. Let y(p) = -2*p**2 - 47*p + 26. Calculate the remainder when y(h) is divided by 10.
9
Let d = -183 + 527. Let p = 27 + -22. What is the remainder when (-4)/14 - d/(-28) is divided by p?
2
What is the remainder when 88 is divided by (15/4)/((-59)/(-236))?
13
Let n(s) = s**3 - 2*s**2 - 7*s - 4. What is the remainder when n(6) is divided by 51?
47
Let d(w) = -w**3 - 13*w**2 - 2*w - 4. Let n be d(-13). Let m = n - 17. What is the remainder when 13 is divided by m?
3
Let z = 13 - 8. Suppose 5*w = b - 4, -z*b = -10*b + 5*w + 80. What is the remainder when b is divided by 5?
4
Let h = -68 - -77. Let r(u) = -u**3 + 10*u**2 - 6*u - 10. What is the remainder when 66 is divided by r(h)?
15
Let h be 183/9 - 4/12. Let k be 6/9 + h/(-3). Calculate the remainder when 21 is divided by (-4 + 9)*k/(-5).
3
Suppose -j = 3*j. Let r = 10 - j. Let f = -3 - -31. Calculate the remainder when f is divided by r.
8
Suppose -5*p + 15 - 20 = 0. Let b be (-2 - (p + -1))/2. Suppose -h - 4