2
Suppose 2*x - 84 = -10*x. Suppose 8 = x*r - 125. Suppose -5*u - 52 = -2*s, -r = -s + 4*u + 4. Calculate the remainder when s is divided by 8.
7
Let i(m) = 17 + 51*m**2 + 8*m - 117*m**2 + 64*m**2. Suppose -4*x + 5 = r + 1, 0 = 3*r + 3*x - 30. Calculate the remainder when r is divided by i(5).
5
Suppose 4*z - 1441 = 1667. Suppose -i - 6*i = -z. Calculate the remainder when i is divided by 16.
15
Suppose -2*q = -2*t + t - 2569, q - 3*t = 1277. Calculate the remainder when q is divided by 99.
98
Suppose -8*r + 116 = -6*r. Let x(k) = -2 + 2*k + 13*k**2 - k - 3*k - 2 - 2*k**3. What is the remainder when r is divided by x(6)?
18
Let r(i) = 2*i**2 + 17*i + 34. Let u be r(-6). Suppose u*h - 346 = 150. What is the remainder when h is divided by 14?
12
Let m(u) = u**3 + 9*u**2 - 11*u + 3. Let t = 5231 - 5217. Calculate the remainder when t is divided by m(-10).
1
Suppose -5*n - 5 = -5*a + 5, 3*n - 3 = 0. Let y = -6 - -1. Let m = y - -6. What is the remainder when a is divided by m?
0
Let p be (-11)/((1 - (-4 + 6)) + 0). Let d = p + -76. Let w = d + 81. What is the remainder when 22 is divided by w?
6
Let h(q) = q**2 + 3*q - 11. Suppose 2*d = -5 + 15. Suppose 4*t = 2*o - 4*o, d*t = 5*o - 60. What is the remainder when h(o) is divided by 27?
23
Let x(t) = -t**2 - 33*t - 234. Suppose -3*u + 9 = 0, -3*n + 138 = u - 5*u. What is the remainder when n is divided by x(-22)?
2
Suppose -57 = -2*m - y + 22, 3*y + 43 = m. Suppose -2*k = k - 231. What is the remainder when k is divided by m?
37
Let w be (3/2)/(0 + 3/54). Suppose 20 = 5*a - 0*a, -24 = -z - 2*a. Calculate the remainder when 62 is divided by (z/(-6) - -3)*w.
8
Let n = 717 - 300. Suppose 0*s - 5*s + n = 3*a, 0 = -2*a + 8. Calculate the remainder when s is divided by 28.
25
Suppose 0 = -60*r + 63*r + v - 405, 695 = 5*r + 5*v. Calculate the remainder when 436 is divided by r.
37
Suppose 3*n - 42 = -3*u, -4*u + n = -8*u + 50. Calculate the remainder when 755 is divided by u.
11
Suppose -t - 3*b = 3*t - 11096, 2*b = -3*t + 8323. What is the remainder when 5564 is divided by t?
10
Suppose 95 - 27 = 4*c. Let o(a) = 67*a + 4*a**2 - 6 - 90*a + c - 3*a**2. Calculate the remainder when 69 is divided by o(24).
34
Let y(h) = -h - 22. Let a be y(-13). Let r = a + 55. Suppose -2*k - 32 + r = 0. What is the remainder when 34 is divided by k?
6
Suppose 2835 = d + 26*d. Let n = -52 - -88. Calculate the remainder when d is divided by n.
33
Let v(z) = 18*z**2 - 1128*z - 97. What is the remainder when v(65) is divided by 17?
15
Suppose -212 = 12*r - 14*r. Suppose -4*j = -h + 4, 0 = -4*h - 2*j - 0*j + r. Calculate the remainder when 67 is divided by h.
19
Suppose -q + 32 = -3*h, 4*h = 6 - 30. Let g = 74 - 27. Calculate the remainder when g is divided by q.
5
Let t(s) = s**3 - 2*s**2 + 2*s. Let b be t(2). Let w(r) = -3591*r + 40. Calculate the remainder when w(0) is divided by 3/12 - (-59)/b.
10
Suppose -123*d + 596 = -119*d. Calculate the remainder when d is divided by 121.
28
Let a = -81 - -138. Let y(p) = 16*p - 6. Let d be y(6). Suppose 0 = j - 4*j + d. What is the remainder when a is divided by j?
27
Let t(s) = -122 - 5*s + 51 + 61. What is the remainder when t(-3) is divided by 5?
0
Let v(n) = -n**3 - n**2 - 3*n - 2. Let y = 89 - 85. Suppose -3*d = 3*m - 12, -2*m + 0*d + 2 = y*d. Calculate the remainder when v(-2) is divided by m.
1
Suppose -4*w + 2 = -55 - 31. Calculate the remainder when w is divided by ((-2)/6)/(2/(-54)).
4
Suppose -15*q = -8*q + 882. Let m = -118 - q. Calculate the remainder when 47 is divided by m.
7
Suppose -1839 = 311*g - 314*g. Suppose -604 = -5*k - 2*j, -k = 4*k - j - g. Suppose u = 10 + 15. What is the remainder when k is divided by u?
22
Suppose 10*o - 2*o + 5*o = 3822. What is the remainder when o is divided by 19?
9
Let i(r) = -r**3 + r**2 + 35. Let g(z) = 44*z + 2. Let n be g(3). Suppose -44*a + n = -42*a. Calculate the remainder when a is divided by i(0).
32
Suppose 78*n - 4*s + 266 = 79*n, 0 = 4*s - 32. What is the remainder when 3494 is divided by n?
218
Let n(p) = p. Let r(f) = 2*f + 1. Let i(o) = -7*n(o) + 4*r(o). Let g be i(7). What is the remainder when g/((-55)/(-180)) - 1 is divided by 13?
9
Suppose -782*n - 2735 = -787*n + 60. What is the remainder when n is divided by 205?
149
Let o(m) = 58*m - 143. Let h(w) = -w + 23. Let z be h(15). Calculate the remainder when o(z) is divided by 54.
51
Suppose 0 = -8*b + 28 + 28. What is the remainder when 12/b*4/8*147 is divided by 18?
0
Suppose 4*v - 60 = -0*v. Let a be (-2 - -5)*1 + 109. Suppose a = -36*d + 40*d. Calculate the remainder when d is divided by v.
13
Suppose -3*t = 2*g + 1199, t + 403 = -5*g + 6*g. Let x = 798 + t. Calculate the remainder when x is divided by 19.
17
Let l(c) = -25 + 5*c**2 - 4663*c + 4653*c - 4*c**2. Calculate the remainder when 25 is divided by l(-3).
11
Suppose 121*j = 4*d + 126*j - 1451, 0 = 2*d + j - 739. Calculate the remainder when d is divided by 15.
14
Let n = 13742 + -3474. Calculate the remainder when n is divided by 16.
12
Let w(m) = 2*m**3 + 53*m**2 + 24*m - 46. Calculate the remainder when 36 is divided by w(-26).
0
Let d = 7257 - 7245. Calculate the remainder when 2261 is divided by d.
5
Let x(a) = 72*a**2 - 174*a - 3. What is the remainder when x(-3) is divided by 16?
15
Let s be (42 + 0)/(0 + 2). Suppose -16*m + s*m = -395. Let d = -27 - m. Calculate the remainder when d is divided by 27.
25
Let t = -750 + 539. Let n = -181 - t. Calculate the remainder when 136 is divided by n.
16
Calculate the remainder when -8 + 15 + 6432 - -4 is divided by 24.
11
Suppose -476 = -2*d - 4*m, 10*d + m + 1223 = 15*d. Suppose 6*b = -5*h + 11*b + 565, -2*h = 4*b - d. What is the remainder when h is divided by 30?
26
Suppose -12*r = -5*r - 35. Suppose -r*q = c - 95, 0*q = 5*q + 4*c - 110. Let f = 77 - -30. Calculate the remainder when f is divided by q.
17
What is the remainder when 685 is divided by 2/(4/109) + ((-39)/26 - -1)?
37
Let d(s) = -11*s - 253. Let n be (4/(-6))/(5/225). Calculate the remainder when 225 is divided by d(n).
71
Let s(h) = -89*h + 449. What is the remainder when 21 is divided by s(5)?
1
Suppose 3*q = 5 + 16. Suppose -q*t + t = -6. Calculate the remainder when (82*1/2 - 3) + t is divided by 10.
9
Suppose -379 - 341 = -12*y. Suppose 2*j - 125 = -3*x, 2*x - 3*x + y = -3*j. Calculate the remainder when x is divided by 24.
21
Suppose 2*m = -2*z + 2, -12*m = -13*m + 4*z - 4. Suppose 2238*n - 2247*n + 171 = m. What is the remainder when ((-4)/(-10))/(2/180) is divided by n?
17
Let r(o) = 3*o**2 - 2*o - 4. Let i be (14/(-4) + 5)*12/9. Suppose -8*q + 4*q = -5*b + 339, b = i*q + 69. What is the remainder when b is divided by r(3)?
16
Let w = 10530 + -10506. Suppose x = -q + 16, -q - 4 = -2*x + 31. What is the remainder when w is divided by x?
7
Suppose 0 = -3*m + 3*b + 36, 2*m + b - 9 = -0*b. Let v(s) = s + 32. Let n be v(14). Let z = n - m. What is the remainder when 194 is divided by z?
38
Let u(q) = -1130*q + 372. Calculate the remainder when u(-1) is divided by 138.
122
Suppose -4*a = 5*g - 20, -5*a - 20 = -18*g + 13*g. What is the remainder when 212 is divided by 36/(-48)*(-48 - a)?
32
Suppose -19*c - 74*c + 12276 = 0. What is the remainder when 917 is divided by c?
125
Calculate the remainder when (6/15 + 48/(-20))*-224 is divided by 7.
0
Suppose -4*f + 29*a - 26*a = -76, 64 = 5*f + 4*a. Let u = 237 + -48. What is the remainder when u is divided by f?
13
Let h = -38 - -38. Suppose h*y = 5*y - 135. Calculate the remainder when 23 is divided by 40/(-2)*y/(-36) - -2.
6
Calculate the remainder when 39 is divided by (-109 - -105)/((-8)/42).
18
Let v(h) = 100*h - 1. Suppose 0 = 242*j - 244*j - i + 21, i = 7. What is the remainder when v(1) is divided by j?
1
Suppose x = 4*t - 4 - 0, 5*x - 24 = -2*t. Let d be 426/9 + 2/(-6). Let u = d - x. What is the remainder when u is divided by 11?
10
Let k(m) = 58*m**2 + 5*m + 4. Calculate the remainder when k(5) is divided by 20.
19
Let g(d) = 10*d + 1303. Calculate the remainder when g(-46) is divided by 65.
63
Let j(r) = -40*r + 1865. What is the remainder when j(30) is divided by 74?
73
Let g(a) = 4*a**3 - 233*a**2 + 59*a + 54. What is the remainder when 669 is divided by g(58)?
109
Let w(k) = k**3 - 3*k**2 + 2*k + 4. Let q be w(3). Let f be q/6 + (-8)