
Suppose 0 = 5*a + 4*n - 964, 5*n - 101 = 3*a - 672. Suppose 4*o - a = -5*c, -3*c + 14*o = 12*o - 102. Calculate the remainder when c is divided by 11.
3
Suppose -k = 2*o - 103, 3*o - 4*o = -4*k + 376. Let t = k - 84. Calculate the remainder when 87 is divided by t.
10
Let a be (30/(-30))/((-3)/(-2) - 1). What is the remainder when 241 is divided by (((-8)/6)/a)/(16/1176)?
45
Let l(a) = 4*a**2 - 14*a - 8. Let v(w) = 5*w**2 - 15*w - 8. Let h(x) = 4*l(x) - 3*v(x). What is the remainder when 53 is divided by h(13)?
17
Let p(a) = a - 13. Let q(o) = 5*o - 66. Suppose 47 = 9*y + 245. Let v(s) = y*p(s) + 4*q(s). What is the remainder when v(8) is divided by 1?
0
Let h = -37 + 37. Suppose h = -0*d + 11*d - 242. What is the remainder when d is divided by 5?
2
Suppose -5*o + 0*o + 50 = 5*l, -35 = -l + 4*o. Suppose 5*u + 169 = 3*r - 23, -2*r = 3*u - 147. What is the remainder when r is divided by l?
9
Let i = 1630 + -794. Calculate the remainder when i is divided by 216.
188
Suppose -v = -3*t - 1759, 2*t + 990 = -5*v + 9717. What is the remainder when v is divided by 63?
46
Let d = -81 - -128. Let i(a) = a**2 + 12*a - 23. Let w be i(-14). Calculate the remainder when d is divided by w*(4 + (1 - 0)).
22
Let v be 19/4 + (-15)/20. Let q(a) = 19*a - a**2 + 4 - 1 - v*a - 4. Calculate the remainder when 104 is divided by q(12).
34
Let p be (-1 + (0 - 2))/(6/(-380)). Calculate the remainder when 18/((-12)/2) + p is divided by 47.
46
Suppose -957 = -v - 2*v. Suppose 2*w - 80 = -48. Calculate the remainder when v is divided by w.
15
Suppose 3*m + 4*f = 634 + 560, -1167 = -3*m + 5*f. Let r = -374 + m. Calculate the remainder when r is divided by 6.
2
Let r = 55 + -61. Let y be (-3)/1*1/(r/70). Suppose 0*u = -4*u - 3*p + y, 5*u - 3*p = 64. Calculate the remainder when 30 is divided by u.
8
Let o be (-2)/(-11) + (-4 - 482/(-11)). Let k = o - 10. Let r = k + -6. Calculate the remainder when 44 is divided by r.
20
Let l = 1452 + -582. Calculate the remainder when l is divided by 109.
107
Let o(c) = -8*c**3 - 3*c**2 + 12. Let f be o(-4). Suppose -f + 84 = -4*u. What is the remainder when u is divided by 50?
48
Suppose -4*m - 12 = 0, 0*m - m + 53 = 4*g. Let h = 470 - 470. Suppose 3*f = 4*q - h*f - 123, 2*q = f + 59. Calculate the remainder when q is divided by g.
13
Let i = 5117 + -5046. Let s = 82 + -35. Suppose -110 = 2*y - 7*y - 2*d, 3*y + 5*d - s = 0. What is the remainder when i is divided by y?
23
Let i be (-75)/2*(0 + 2/(-3)). Let g be 59/10*6 + (-10)/i. Suppose 2*o + 3*k = -3*o + g, 4*o - 28 = -4*k. Calculate the remainder when 24 is divided by o.
3
Suppose 6 = 2*g, 4*w + 2*g = -0*g + 1390. What is the remainder when w is divided by (20/(-25))/((-1)/45) - 1?
31
Let r(n) = -n**2 + 18*n - 70. Let t be r(6). Calculate the remainder when (-437)/(-3) - (t/(-6) + 0) is divided by 25.
21
Let j(i) = -4*i - 3. Suppose 0 = 2*y - 0 - 18. Let h be j(y). What is the remainder when (h/4)/((-45)/480) is divided by 35?
34
Suppose 2*c = h - 6*h + 16, -c = -4*h + 5. Suppose -3*u - 49 = -5*d, 2*d - 4 = -u - c*u. Calculate the remainder when 54 is divided by d.
6
Let r = 18 + -42. What is the remainder when 43 is divided by (-6)/(r/(-4)) + 38?
6
Let w(v) = v**2 + 5*v. Let u be w(-2). Calculate the remainder when 109 is divided by -2*(u/(-4))/(-3)*19.
14
Let z(l) = -2*l**3 + 18*l**2 - 7*l + 51. Calculate the remainder when 4427 is divided by z(8).
122
Suppose -3*q - 17 + 32 = 0. Suppose 0 = p + q*v - 18, 4*p + 4*v - 19 - 5 = 0. Calculate the remainder when 203 is divided by p.
2
Suppose 5*z - 2*c + 14 = 7*z, -5*z + 5*c = 5. Let h = -299 - -349. Calculate the remainder when h is divided by z.
2
Let y(t) = 20*t - 909. What is the remainder when 314 is divided by y(51)?
92
Let q = 162 - 80. Let m = -74 + q. What is the remainder when 46 is divided by m?
6
Suppose 3*h = 4*z + 170, -z - 3*h + 3 = 53. Let u = z - -77. Let p(w) = -3967*w - 39658. Calculate the remainder when u is divided by p(-10).
9
Suppose -14112 = -4*k + 11*k. What is the remainder when 107 is divided by (k/(-280))/(((-4)/10)/(-1))?
17
Suppose 102*k - 3469280 = 15*k - 73*k. What is the remainder when k is divided by 52?
51
What is the remainder when (1 - -7) + (-1568)/(-9) + (-8)/36 is divided by 137?
45
Let b be ((2 - 2)/5)/(4/(-4)*2). Let j(s) be the first derivative of -s**4/4 - s**3/3 + 39*s + 1. What is the remainder when 114 is divided by j(b)?
36
Suppose 16 = 4*y, h + h = y + 42. Suppose -9*a - 3*o + 132 = 0, -4 = -2*a + 4*o + 2. What is the remainder when h is divided by a?
10
Let t = -6263 + 6280. What is the remainder when 2817 is divided by t?
12
Let u = 62 + -55. Let p = 9 - u. Suppose -p*z + 2 = 0, v - 5*z - 117 = -v. What is the remainder when v is divided by 16?
13
Suppose 3*v + 5*z = -v - 7, -4*v + 3*z = -17. Suppose -t + 3*u + 41 = 0, 3*t - u - 93 = v*u. What is the remainder when 337 is divided by t?
25
Let z(q) = 4 + 2 - 1 + 1 + 33*q**2 + 7*q. Let k be z(-1). Let y(t) = t**2 - 32*t + 15. Calculate the remainder when 116 is divided by y(k).
11
Let d = 4889 + -4305. Calculate the remainder when d is divided by (15/1)/((-3)/(-3)).
14
Let t(d) = -6*d**3 + 37*d**2 - 2*d + 68. What is the remainder when t(6) is divided by 47?
45
Suppose 0 = -2*k + 14 + 58. Suppose 60 = 10*f - 60. Suppose k - f = 4*b. What is the remainder when b is divided by 4?
2
Let v(y) = -171*y + 4458. What is the remainder when -4*(55/(-4) - -2) is divided by v(26)?
11
Let c = -597 - -735. Calculate the remainder when 3724 is divided by c.
136
Let p = 0 + 0. Suppose p = 2*h + 2*h - 84. Suppose 5870*d - 26015 = 5655*d. What is the remainder when d is divided by h?
16
Suppose c + 5*t = 13, -3*c + 0 - 17 = t. Let m(j) = j**2 + 6*j - 12. Let g be m(c). What is the remainder when 156 is divided by (-160)/2*(-2)/(-20)*g?
36
Suppose 10*s - 6*s = 16, -4*s + 581 = 5*t. What is the remainder when t is divided by 15?
8
Let a = 96 + -46. Suppose 3*r = -15, 0 = -4*h + 4*r + a + 30. Calculate the remainder when 44 is divided by h.
14
Let z be -1 + 3/(-3) + 2 + 2. Suppose 3*t - z*s - s = 171, -3*s + 189 = 3*t. What is the remainder when 296 is divided by t?
56
Suppose 0 = 3*v + 8080 - 8122. What is the remainder when 633 is divided by v?
3
Let g(c) = 50*c + 173. What is the remainder when 223 is divided by g(-3)?
16
Calculate the remainder when 100/175 + 948/7 is divided by 59.
18
Let w(o) = -2*o**3 + o**2 + o. Let c be w(-1). What is the remainder when (84/14)/(3/5) is divided by ((-8)/6)/(c/(-6))?
2
Suppose 3*c + 6 = 36. Calculate the remainder when -13 + (-4140)/(-81) + (-1)/9 is divided by c.
8
Suppose 0 = -4*f + 189 - 69. Let p = -124 + 159. Calculate the remainder when p is divided by 3/(-2) - f/(-4).
5
Let b(x) = 49*x - 2449. What is the remainder when 895 is divided by b(51)?
45
Let v = 8549 - 8399. What is the remainder when v is divided by 55?
40
Suppose 55 = 2*x - 19. Suppose 4*n = 4*w - 5*w + 96, -264 = -4*w + 4*n. What is the remainder when w is divided by x?
35
Let s(m) = m**2 - 62*m + 617. What is the remainder when 155 is divided by s(9)?
15
Suppose -41*g + w = -43*g + 431, 5*g = 3*w + 1105. Calculate the remainder when g is divided by 110.
108
Let x(w) = -w**2 + 11*w + 4. Let a = 38 + -35. Suppose -22 = -4*c + c - m, 0 = 3*c + a*m - 24. What is the remainder when x(4) is divided by c?
4
What is the remainder when 313 + (6 - (-13 - -13)) is divided by 30?
19
Let c = -164452 - -164464. Let q(l) = -1 - l**3 - 5*l - 4*l**2 + 0 - l. Calculate the remainder when q(-4) is divided by c.
11
Let u(p) = 23*p - 49. Let v(d) = -47*d + 98. Let y(q) = 7*u(q) + 3*v(q). What is the remainder when y(5) is divided by 19?
13
Suppose -7*o + 40 = 3*o. Let x be (8/o)/((-4)/14) - 1. Let t(s) = s**3 + 7*s**2 - 9*s + 12. Calculate the remainder when t(x) is divided by 6.
2
Suppose 0 = -r + 8*a + 133, -107*r + 106*r = -3*a - 168. Let c(g) = g + 13. What is the remainder when r is divided by c(-6)?
0
Suppose 2*q - 28 = 4*q. Let t be 16/q*35/(-10). Suppose 4*c - 468 = -t*s + 9*c, -5*s - 3*c = -585. Calculate the remainder when s is divided by 20.
17
Let q = 118 - 115. Let o be (-2 + 1)/(q/(-9)). Suppose o*c - 3*j - 54 = 0, 4*c + 4*j + j = 72. Calculate the remainder when 31 is divided by c.
13
Let j(h) = 470*h - 8351. What is the remainder when 1842 is divi