culate the remainder when z is divided by t.
3
Suppose -12*m + 13*m = 118. Suppose 4*y = -20, 3*k + y = 6*y + m. Suppose -3*g - 5*u = -g - 14, -3*g + k = 5*u. Calculate the remainder when g is divided by 5.
2
Let t be (-9)/3*-3*1/3. Suppose -3*a + 33 = t*z, 12 = -a - 3*a. What is the remainder when 178 is divided by z?
10
Suppose -t = t - 4*o - 48, -5*o = -3*t + 71. Let c(r) = 11*r**2 - 11*r - 8. What is the remainder when c(4) is divided by t?
14
Suppose 776 = -827*u + 835*u. Suppose 4*c - u + 29 = 0. Calculate the remainder when c is divided by 11.
6
Let o(b) = -b**2 - 82*b - 55. What is the remainder when o(-20) is divided by 198?
195
Let j(s) = -156*s - 1. Let b be j(-2). Let g be ((-34)/8)/((-12)/(-528)). Let z = g + b. Calculate the remainder when z is divided by 21.
19
Let z(r) = -r - 8. Let d be z(-13). Suppose -d*s - 2*l + 99 - 4 = 0, -3*s = -5*l - 57. What is the remainder when s is divided by 1/(-3) - 144/(-27)?
4
Suppose -n = 4*v - 7*v + 4, -4*v + 10 = n. Suppose -3*i = n*d - 302, d + 276 = 4*i - 134. Calculate the remainder when 508 is divided by i.
100
What is the remainder when 2*5/(-2) - (-8 - (271 + -7)) is divided by 9?
6
Suppose 2*d - 2 = -h, 3*h = 7*d - 3*d - 14. Suppose -d*k = -k - 25. Calculate the remainder when k is divided by (((-3)/2)/1)/((-6)/52).
12
Let o(h) = 4*h. Suppose 3*d = -n + 18, -3*n - 5*d - 13 + 55 = 0. What is the remainder when o(3) is divided by n?
3
Suppose 118*d - 56656 = 3*d + 384829. What is the remainder when d is divided by 160?
159
Let b(f) = 52*f - 111. Let x be b(6). Suppose -14*m = x - 593. Calculate the remainder when m is divided by 8.
4
Let s be ((-525)/14)/(-5)*18/5. Let t(w) = 5*w - 84. Calculate the remainder when 158 is divided by t(s).
5
Let g(f) = -f**3 + 10*f**2 + 31*f + 31. Let t(o) = o**3 - 9*o**2 - 31*o - 32. Let u(v) = 5*g(v) + 4*t(v). Calculate the remainder when 32 is divided by u(16).
10
Let z(y) = 3*y - 27. Let h = 267 + -254. Calculate the remainder when 32 is divided by z(h).
8
Let q = 519 - 452. Suppose 3*h = 2*f - 52 + 156, 0 = -2*h - f + q. What is the remainder when h is divided by 32?
2
Suppose -5*r = 4*q - 316, 12*q - 3*r = 16*q - 276. Suppose -5*i + 3*k - k - 68 = 0, 4*k = -2*i - 32. What is the remainder when q is divided by -2 - (1*i + -2)?
12
Let d(q) = -64 - 135*q - 156*q + 327*q. Calculate the remainder when 175 is divided by d(3).
43
Suppose 0 = -2*a - 4*c + 56870, -4*a + 80257 + 33435 = -4*c. What is the remainder when a is divided by 69?
68
Suppose -15 = -0*w - 5*w. Suppose -w*d + 236 - 88 = s, 82 = 2*d + 4*s. Calculate the remainder when 150 is divided by d.
48
Let o be 1 - (4 + -7) - 164. Let j = o - -190. What is the remainder when 146 is divided by j?
26
Suppose 20*x + 456987 = 89*x. What is the remainder when x is divided by 24?
23
Let i = -14773 - -14806. Calculate the remainder when 4058 is divided by i.
32
Suppose -5*y = 3*c - 1513, 5*c - 19 = -y + 266. Suppose -y - 101 = -14*l. What is the remainder when 54 is divided by l?
25
Suppose -66*v + 69*v = -9. Let t(n) = 4*n + 22. What is the remainder when t(v) is divided by 40/15*(-6)/(-4)?
2
Let z be 2 + 14/(-4) + (-7)/(-14). Let u be -60*(z + 0) - -2 - 2. Suppose 16*r = 14*r + u. What is the remainder when 87 is divided by r?
27
Suppose 1491*f - 1414*f - 7700 = 0. Calculate the remainder when 204 is divided by f.
4
Calculate the remainder when 1041 is divided by (-47)/(-2)*(-3 + (-329)/(-7)).
7
Let v = 378256 + -378107. Let l = 7 + -2. Suppose 0*m - 50 = -l*m. Calculate the remainder when v is divided by m.
9
Let n = -799 - -802. Suppose 2*l = -n*u + 1 + 38, -u = -5*l + 89. Let j(r) = 2*r**3 - 4*r**2 + 3*r - 6. What is the remainder when j(4) is divided by l?
16
Let h(k) = -k**2 - 12*k - 25. Let y be h(-5). Suppose -2*q = -n + y, 7*q - 11*q - 12 = 0. Let m(i) = -i + 1. What is the remainder when m(-5) is divided by n?
2
Let s = -1 - -1. Suppose b + 200 = 2*n + 196, 0 = 2*b + 2*n - 40. What is the remainder when -1 - -23*(1 + s) is divided by b?
10
Suppose 36*c - 32*c = b - 198, 5*c + 1095 = 5*b. What is the remainder when b is divided by 174?
52
Let u(c) = c**2 + 5*c + 37. Let y be u(-6). Suppose 0 = 39*q - y*q + 92. Calculate the remainder when 60 is divided by q.
14
Suppose 183957*g = 183960*g - 60 - 51. Let z(m) = -39*m**3 - 2*m**2 - m. What is the remainder when z(-1) is divided by g?
1
Let s(o) = 2*o - 12. Let k be s(8). Suppose -k*f = -6*f + 60. Let x = -156 + 173. Calculate the remainder when f is divided by x.
13
Let t = 15832 - 14101. Calculate the remainder when t is divided by 97.
82
What is the remainder when 6620/105*7 - (-3)/(-9) is divided by 110?
1
Let q = -32 + 100. Calculate the remainder when q is divided by 27/((-405)/(-6))*35.
12
Let a(w) = -7*w - 25. Suppose 0 = 2*d - 5*d + 3*k - 39, -k - 5 = d. Let n be d + 8/((-8)/(-3)). What is the remainder when a(n) is divided by 9?
8
Suppose -u = -2, 3*u + 5 = -r + 13. Suppose 0 = -r*m - 4*l + 58, -m + l + 4*l + 29 = 0. What is the remainder when m is divided by 12?
5
Suppose -13*q + 46*q = 429. What is the remainder when 191 is divided by q?
9
Suppose -406 + 294 = 2*k. Let p(q) = -q**2 + 14*q - 1. What is the remainder when p(6) is divided by (-4)/(-5)*(-700)/k?
7
Let h(f) = 8*f**3 + f**2 - 38*f + 71. What is the remainder when 259 is divided by h(2)?
7
Let f(k) = 3*k**2 - 136*k - 680. Let i(a) = -19*a. What is the remainder when i(-2) is divided by f(50)?
18
Calculate the remainder when 9/12*(-115876)/(-177) is divided by 236.
19
Let x = -24683 + 26840. Calculate the remainder when x is divided by 360.
357
Let g be (-6 + -4 - -9)/1. Let s(j) = 28*j**2 + 3*j + 5 - 5*j**2 - 3. Calculate the remainder when 64 is divided by s(g).
20
What is the remainder when 45/(-60) - (-2373)/12 is divided by 69?
59
Suppose 62*y + 1892 = 84*y. What is the remainder when 242 is divided by y?
70
Suppose 35 = -4*o - 349. What is the remainder when 48 - (1 - (-2 - -5)) is divided by ((-4)/(o/136))/((-1)/(-3))?
16
Suppose -14*u + 19*u = 140. Suppose 2*p - 10 = -2. Suppose -m + 10 = -0*o + 2*o, p*m + 3*o - 40 = 0. What is the remainder when u is divided by m?
8
Let n be (9108/(-20))/(-3) - (-8)/(-10). Let i = n + 56. What is the remainder when i is divided by 15?
12
Suppose 4*j = 5*x + 117, 177 = -7*j + 12*j + 4*x. Suppose j*l - 90 = 28*l. Calculate the remainder when 39 is divided by l.
3
Suppose -7*n - 2 = 3*x - 5*n, -2*n = 2. Suppose -3*h + 78 = 5*t, x = -4*t + 3*h + 109 - 25. What is the remainder when t is divided by 13?
5
Let u(d) = -d**3 + 12*d**2 + 4*d - 8. Suppose -3*m - 31 + 28 = v, 90 = 2*v - 6*m. What is the remainder when u(11) is divided by v?
10
What is the remainder when (8178/4)/(-3)*((-88)/(-11) - 10) is divided by 31?
30
Suppose 5*w = 3*m + 7, 0 = -5*m + 5*w - 3 - 2. Let i = -3559 - -3573. Calculate the remainder when i is divided by m.
0
Let u(x) = x**3 - 3*x - 68. Let q be u(0). Let a = q - -91. What is the remainder when 41 is divided by a?
18
Let y(m) = -33*m + 95*m - 11*m - 103 + 31 - 12*m. What is the remainder when (-2)/2 - 172/(-2) is divided by y(3)?
40
Let v(f) = f + 15*f**2 + 6 - 5*f - 2. Let a = 12 + 0. What is the remainder when v(2) is divided by a?
8
Let p(y) = -4*y**2 + 76*y + 33. Let m be p(26). Let d = m + 1388. Calculate the remainder when d is divided by 87.
84
Let p be 9 + (-1 + 3 - 4). Suppose 68 = p*r + 33. Suppose 0 = -3*m + 5*i + 41, r*i - 14 = -2*m + 30. What is the remainder when m is divided by 9?
8
Let y = 114 - 112. Suppose -4*x + y*x = 198. Let t = x - -144. Calculate the remainder when t is divided by 26.
19
Suppose 0 = 5*w + 3*o + 110, -6*w + o - 71 = -2*w. Let v(n) = 19*n**2 + 0*n**2 + 191*n - 193*n + n**3 - 7 - 2. What is the remainder when v(w) is divided by 8?
5
Suppose 68*p - 32*p = 37*p - 18. What is the remainder when 2652 is divided by p?
6
Suppose 3*u + 193 = 163. Calculate the remainder when 6735/75 + (-2)/u is divided by 16.
10
Suppose -12*s + 117 = 45. Suppose -s*b - 1149 = -9*b - 2*t, -2*b + 747 = -5*t. What is the remainder when b is divided by 24?
21
Let x = 275 + -196. Let m = -101 + 511. Suppose m = 2*q + 8*q. Calculate the remainder when x is divided by q.
38
Let o = 3088 - 3070. Calculate the remainder when 663 is divided by o.
15
What is the remainder when 24544 is divided by (1*-38)/(29 +