 u(v) = -v**3 + 9*v**2 - 20*v + 101. Let m be u(8). Suppose -28 = m*q - 113. What is the remainder when 181 is divided by q?
11
Suppose 20*o - 248 = 18*o + 2*t, 0 = 2*o - 4*t - 236. What is the remainder when 513 is divided by o?
123
Suppose -472*b + 464*b = -23392. Calculate the remainder when b is divided by 12.
8
What is the remainder when 153 is divided by ((-63)/(-90) - 4/20)/(7/350)?
3
Suppose -5*g - 32 = -2*w, -3*g = 11*w - 14*w + 66. What is the remainder when (-8 + 16)/(-8) + 130 is divided by w?
25
Suppose 0 = -63*r + 48334 + 24809. What is the remainder when r is divided by 576?
9
Let t = -7523 + 7551. What is the remainder when 2546 is divided by t?
26
Let p be ((-20)/(-12) + -2)/((-1)/6). Suppose -3*b = -p*i + 91 + 14, 4*i - 189 = -b. Calculate the remainder when 76 is divided by 12/5*320/i.
12
Let q be (-2)/2 + (-42)/(-2) + -5. Let u(f) = -f - 3. Let j be u(8). Let o = j + q. Calculate the remainder when o is divided by 4.
0
Suppose -6*r = -r. Suppose r*l = -3*j - 3*l + 27, 5*j - 2*l = 10. Suppose j*c = -x + 31, 2*x - 25 = -3*c + 17. What is the remainder when 25 is divided by x?
10
Suppose -5*r - 2804 = -2*l, 3*l = 4*l + 3*r - 1391. Calculate the remainder when l is divided by 40.
37
Suppose 1128 = 12*b - 432. What is the remainder when 116 is divided by (5/25)/(2/b)?
12
Suppose 0 = -c + 258 + 80. Suppose 0 = -2*q - 112 + c. Suppose -5*y + 116 + 22 + 7 = 0. Calculate the remainder when q is divided by y.
26
Calculate the remainder when ((-777)/148)/((-161)/(-276))*374/(-18) is divided by 2/2 + (-18)/(-1).
16
Let x(s) = -s**3 + 7*s**2 + 20*s + 10. Let f be x(10). Let o = f - -118. What is the remainder when 165 is divided by o?
25
Let b be (2 - 2/2) + (0 - -4). Suppose -6*v + b + 13 = 0. Suppose -4*c + 68 = v*x, 3*x - 4*c = -16 + 92. Calculate the remainder when x is divided by 7.
3
Suppose 2*g + 240 = 7*g. Suppose 0 = -5*o - g - 57. Calculate the remainder when (-489)/(-12) - (-1 + o/(-12)) is divided by 7.
5
Suppose 0 = -2*w + 91 - 11. Suppose -55*c + 5658 = -0*c + 83*c. Calculate the remainder when (-2)/8 - (-6490)/w is divided by c.
39
Let u be -5 - 13/(3 + -6 + 2). Calculate the remainder when 40 is divided by ((-171)/36 + 1)/((-6)/u).
0
Suppose -38 = 5*v - 53. Let u be 127/v - 20/(-30). Suppose -2*c = 3*m - u, m + 0*m = 2*c + 1. Calculate the remainder when 29 is divided by m.
7
Let o(p) = p**2 - 21*p + 51. Let r be o(21). Let v = 70 - r. Calculate the remainder when v is divided by 2.
1
Let n be (2 - 0/(-4))/((-2)/(-7)). Suppose 9*k - 74 = n*k. What is the remainder when k is divided by 8?
5
Let k(t) = -22*t + 0*t**2 + 3*t**2 + 5*t - 8*t + 7. Suppose 4*w + 20 = 56. What is the remainder when k(w) is divided by 14?
11
Let m(t) = -5*t + 219. Let q(d) = 17*d - 658. Let l(z) = -17*m(z) - 6*q(z). Suppose 2*i = -0*i + 8. Calculate the remainder when l(12) is divided by i.
1
Let r = 12452 + -11925. What is the remainder when r is divided by 169?
20
Calculate the remainder when (12/10)/((-42)/(-4060)) is divided by 56 - ((-112)/84 + (-4)/(-12)).
2
Let m = 67 + -323. What is the remainder when 72 is divided by 32/m + (-2 - (-274)/16)?
12
Let o = 2925 - 2915. Calculate the remainder when 397 is divided by o.
7
Let i = -129 + 99. Let m = 204 + i. What is the remainder when m is divided by 60?
54
Suppose -13*j + 722 - 3270 = 0. Let d = 604 + j. What is the remainder when d is divided by 41?
39
Suppose -11*a = 14*a - 1550. Suppose 0 = -i - 3*i - 2*j + a, -3*i + 5*j = -27. Calculate the remainder when i is divided by 7.
0
Let u = 13 - 10. Suppose r = -5, u*o - 3*r = -r + 13. Suppose 51 = c + 2*p, -2*p - 1 - o = 0. What is the remainder when c is divided by 8?
5
Let q = 204 - 183. Let y(o) = o**3 - 20*o**2 - 19*o + 37. Let x = 57 + -17. What is the remainder when y(q) is divided by x?
39
Let b(r) = 6*r**2 - 11*r + 12. Let z be 16/((-72)/(-9)) + (-2 - -1). Calculate the remainder when b(z) is divided by 2.
1
Suppose 4*r + 3 = -25. Suppose -3*q + 58 = -2*q. What is the remainder when q is divided by (-3 + -1 - r) + 9?
10
Suppose -5*g + 138 = 2*w, 5*w = -130*g + 125*g + 315. Let c be -2 - -6*(3 + -1). Suppose q - 6 = c. Calculate the remainder when w is divided by q.
11
Suppose 422*t - 487 - 3570 = 20841. Let f = 9 - 6. What is the remainder when t is divided by f?
2
Suppose 0 = 6*a - 5*a - 184. Suppose -a = -4*o + b, 3*o = o + b + 92. Calculate the remainder when o is divided by 13.
7
Let y be (-3 - 8/(-3))*-15. Suppose -y*a + 24 - 14 = 0. Suppose -a*x + 39 = 5*o, -6*o = -x - 2*o. Calculate the remainder when 70 is divided by x.
10
Let m = -101 + 106. Suppose -2*s + 5*w = -s + m, -w + 1 = -4*s. Suppose s = -4*f + 170 + 138. Calculate the remainder when f is divided by 40.
37
Let d(n) = -369*n - 220. Calculate the remainder when d(-13) is divided by 14.
13
Let p be ((-805)/10)/7*2. Let c be p/(-2) + (-8)/(-16). Suppose -4*m = -68 + c. Calculate the remainder when 55 is divided by m.
13
Let p(a) = 440*a - 870. Calculate the remainder when 206 is divided by p(2).
6
Let w(k) = -3*k. Let f be w(-9). Suppose 25*p = f*p - 22. What is the remainder when 78 is divided by 2/p + 590/(-66)*-3?
24
Suppose -4*x + 916 = -4*k, 2*x + 3*k = 456 + 27. Suppose 4*m - x - 238 = -4*b, -2*m - 5*b + 245 = 0. Calculate the remainder when m is divided by 20.
15
Suppose 0 = -52*q + 71*q - 1292. Suppose 5*s - 145 = 5*t, 5*t - 101 = -5*s + 64. Calculate the remainder when q is divided by s.
6
Let t(b) = -2*b**2 + 134*b - 381. Calculate the remainder when t(55) is divided by 53.
38
Let d = -6576 - -9412. What is the remainder when d is divided by 11?
9
Suppose -53*z = -96*z + 56*z - 663. What is the remainder when 182 is divided by z?
29
Suppose -5*u = -0*r + r - 57, -3*r + 4*u = -247. Let o = -788 - -814. Calculate the remainder when r is divided by o.
25
Let i(c) = 2*c**3 - 2*c**2 + 8*c - 5. Let a = 116 - 113. What is the remainder when i(a) is divided by 7?
6
Let j(f) = -10*f - 37. Let h be j(3). Let c = 70 + h. What is the remainder when 17*5*6/45*c is divided by 22?
12
Let l = -16168 + 16435. What is the remainder when 819 is divided by l?
18
Let d = 23 + -12. Suppose -4 = x, -5*c = -x - 104 - 270. Calculate the remainder when c is divided by d.
8
Calculate the remainder when 3232 is divided by (80 + -74)/((-6)/(-21)).
19
Suppose 24*a + 30*a = 68*a - 784. What is the remainder when a is divided by 17?
5
Let f be (16/10)/((-12)/(-30)). Suppose 2 = -v + f*n, 3*v + 2*n = -2*n + 10. What is the remainder when 2 is divided by v?
0
Let q(k) = k**3 + 3*k**2 - 3*k + 1. Suppose 0 = v, 3*m + 2*v + 76 = -92. Calculate the remainder when 0/(8/(-2)) - m is divided by q(2).
11
Let v(p) = -p**2 - 7*p - 5. What is the remainder when (-73 - (-2 - 4))/(-3 - (-6 + 4)) is divided by v(-4)?
4
Let n be ((-3)/81*-9)/((-2)/(-312)). Suppose 2*z = n + 22. What is the remainder when 109 is divided by z?
35
Let x = 124 - -18. What is the remainder when x is divided by -38 + (69 - (-86 + 73))?
10
Suppose -3*u - 561 + 480 = -30*u. Let t be (-1 - -2)*3*-3. Let c(z) = -z**2 - 9*z + 3. What is the remainder when u is divided by c(t)?
0
Suppose -2*f + 52*f - 31088 = -66*f. What is the remainder when 1107 is divided by f?
35
Suppose 0 = 27*o - 31*o + 8. Let i(g) = -3*g**o - 3 - g**3 - 4 - 12*g - 3*g**2. Calculate the remainder when 110 is divided by i(-5).
26
Let b = 18371 + -18287. Calculate the remainder when 949 is divided by b.
25
Suppose 143160*m + 74613 = 143347*m. Calculate the remainder when m is divided by ((-1)/(-2))/((-2)/(-408)).
93
Let c = -35320 + 35485. Calculate the remainder when c is divided by 127.
38
Let f(c) = -3*c + 18. Suppose -9*k = 18 - 9. Calculate the remainder when 32 is divided by f(k).
11
Let k(g) = -34*g + 52. Let j be k(-13). Suppose 0 = -3*t - 4*o + j, 3*t + 3*o + 139 = 628. What is the remainder when t is divided by 40?
38
Let v(g) = -3*g**2 - 9*g - 70. Let c be v(-10). Let b = -230 - c. Calculate the remainder when b is divided by 1/(-6) + (-237)/(-18).
11
Let c = 6414 + -5554. What is the remainder when c is divided by 8?
4
Let l(b) = b**3 - 18*b**2 - 6*b + 64. Let z be l(17). Let x = z + 376. What is the remainder when x is divided by 16?
1
Suppose 32*g - 25598 = -5086. Calculate the remainder when g is divided by 629.
12
Suppose 5 = -3*z + 11. Suppose 4*h -