9
Let k = 57 + -40. Let a(s) = -2*s + 2. Let t(q) = -2*q + 3. Let u(d) = -6*a(d) + 7*t(d). Calculate the remainder when k is divided by u(0).
8
Suppose -302*l = -308*l + 462. What is the remainder when 2147 is divided by l?
68
Let k = -29317 - -29335. Suppose -f = -4*a - 77, -5*f + 309 = -a - 0*a. What is the remainder when f is divided by k?
7
Suppose -k + 47 = 5*q, -5*k + 198 = -2*q - 10. Let b(i) = -2*i + 118. What is the remainder when k is divided by b(51)?
10
Suppose -2*y + 61 = -t, 2*y = -4*t + 30 + 46. Let g = y - 16. What is the remainder when 54 is divided by g?
6
Suppose 2*s = 2*c + 12, 10*c = 5*c + s - 10. Let i(g) = 275*g**2 + 5*g + 6. What is the remainder when i(c) is divided by 56?
52
Suppose -30789*g - 3145 = -30806*g. Calculate the remainder when g is divided by 72.
41
Suppose -16*o + 530472 = 30*o. Suppose -5*m + 36*m - o = 0. Calculate the remainder when m is divided by 75.
72
Let s = -1955 + 1993. Suppose 0*b = 2*b - 2*m + 8, -6 = b - 3*m. Calculate the remainder when s is divided by 12 - (b/1)/3.
12
Let n be 178/11 + 1 + (-26)/22. Suppose -3*l = -c - 222, -4*l - 5*c + 296 = -0*l. Calculate the remainder when l is divided by ((-7)/7 + 2)*n.
10
Let w(v) = v**2 + 18*v + 11. Let d(m) = m**3 + 16*m**2 - 15*m + 36. What is the remainder when w(-19) is divided by d(-17)?
0
Let w(s) = s**2 - s - 50. Calculate the remainder when 58 is divided by w(8).
4
Let u(f) = 8*f - 1. Let g(w) = -17*w + 2. Suppose -3*y - 2*y = -65. Let o(z) = y*u(z) + 6*g(z). Calculate the remainder when 8 is divided by o(3).
3
Let a be (3 + 0)*597/3. Suppose -a = -7*v + 4*v. What is the remainder when v is divided by (-1 - -11)*(-740)/(-296)?
24
Let m = 47 - -137. Let n = 169494 + -169483. Calculate the remainder when m is divided by n.
8
Let v(h) = 9*h + 80. Let s be v(-8). Let b(x) = 10*x - 71. Calculate the remainder when b(s) is divided by 6.
3
Let j be 3/(-6)*(-3)/(6/16). Suppose 2*p - p = j. Suppose -p*u - 1 = -37. What is the remainder when 32 is divided by u?
5
Let o(j) be the first derivative of j**4/2 + 14*j**3/3 - 3*j**2/2 + 33*j - 241. Calculate the remainder when 105 is divided by o(-7).
51
Suppose 190*a = 182*a + 384. Suppose 0 = -2*n + 8*q - 3*q + a, 78 = 4*n - q. Calculate the remainder when 24 is divided by n.
5
Let m = -210 + 624. Suppose 0 = -29*p + 27*p + m. What is the remainder when p is divided by 42?
39
Let v = 14210 - 11465. Calculate the remainder when v is divided by 12.
9
Suppose -2 = n - 56. Suppose 3*t - 5 + 17 = 0, -404 = -4*m - 3*t. Calculate the remainder when m is divided by n.
50
Let q = -51 + 53. Suppose -q*s - 309 = -5*m + 2*s, 4*s - 16 = 0. Let g = m - 51. Calculate the remainder when g is divided by 5.
4
Let m(v) be the first derivative of -v**4/4 + 2*v**3 + 3*v**2/2 - 8*v - 4. Suppose -928 = 19*s - 1144 - 468. Calculate the remainder when s is divided by m(6).
6
Let g(a) = -11 - 4*a**3 + 18*a**2 + 12*a + 52*a + 3*a**3. What is the remainder when g(21) is divided by 8?
2
Let m(p) = p - 3. Let j = -135 + 151. Let w(a) = a**3 - 15*a**2 - 14*a - 10. What is the remainder when w(j) is divided by m(11)?
6
Suppose -d + 172 = -s - 0*s, -2*d + 329 = s. Let z be (-12)/3 + (-1 - 155). What is the remainder when d is divided by (0 - -2) + z/(-5)?
31
Suppose -8*p = 1087 - 2591. What is the remainder when 1144 is divided by p?
16
What is the remainder when 447 is divided by (5 - 7) + 16 + -2 + -3 + -3?
3
Let l = -30712 + 31072. What is the remainder when 2516 is divided by l?
356
Let v(k) = 110*k**2 + k + 9. Calculate the remainder when 136 is divided by v(0).
1
Suppose -497*g - 349 = -501*g - 97. What is the remainder when g is divided by 8?
7
Let f(d) = -d**3 - 6*d**2 + 5*d - 7. Let r be f(-7). Let n be r/(-28) + 82/8. What is the remainder when (105/n)/1*14/3 is divided by 17?
15
Suppose -86*x + 293669 = 246*x - 88131. Calculate the remainder when x is divided by 294.
268
Let r(l) = -l**2 - 20*l + 3. Suppose -2*a + 3*j = -340, -4*a + 857 - 209 = 2*j. What is the remainder when a is divided by r(-6)?
77
Let k(d) = -d**3 - 12*d**2 - 27*d - 30. Let r be k(-10). Suppose -2*p = -4*p - 4, -2*w - 3*p = -r. Calculate the remainder when 389 is divided by w.
21
Let o be (-63)/(-45) + 3 - (-2)/(-5). Suppose 3*r - o*s - 170 = 0, -11*s - 130 = -3*r - 15*s. Calculate the remainder when r is divided by 31.
19
Suppose 0*l - 3*l = 15, 3*r + 2*l = 41. What is the remainder when -5*(-6 + (-6 - -6)) is divided by r?
13
Let t(s) = -s**2 + 25*s + 115. What is the remainder when 684 is divided by t(19)?
226
Let f = -89 + 207. Suppose -3*r - 3*i = -171, -6*r + 2*i + f = -4*r. Calculate the remainder when r is divided by 16.
10
Let y(u) = u - 13. Let l be y(10). Calculate the remainder when 8/16 + 258/12 is divided by -3 + 3 + l + 10.
1
Suppose 4*h = -769 + 285. What is the remainder when (6 - 13)/35 - h/5 is divided by 1 - (-9 - -1)/2?
4
Let u(o) = 857*o + 192. Calculate the remainder when u(0) is divided by 16.
0
Let y = -33 - -87. What is the remainder when (-10016)/(-56) - (-15)/105 is divided by y?
17
Suppose 0 = -o + 20 + 60. Suppose -o = -3*v - v. Suppose -136 = 3*b - 7*b. Calculate the remainder when b is divided by v.
14
Let q = 74 - -60. Let j(x) = -x**2 - 22*x - 54. Calculate the remainder when q is divided by j(-6).
8
Suppose -t = 42 - 281. Calculate the remainder when t is divided by 67.
38
Let m = -199 + 228. Suppose -2*y - 4*s - 14 + 44 = 0, 5*y - 4*s = 61. Calculate the remainder when m is divided by y.
3
Let q = 11384 - 8500. Calculate the remainder when q is divided by 80.
4
Let a(x) = -2*x + 1. Let q(o) = 2*o - 2. Let n(y) = -11*a(y) - 6*q(y). Calculate the remainder when n(12) is divided by 42.
37
Calculate the remainder when 342 is divided by (((-73)/(-3))/1)/(-12*34/(-1224)).
50
Let j(f) = -f**2 + 5*f + 1. Let g be j(5). What is the remainder when ((-72)/(-16) - 6)*(-142)/3 is divided by (g + 2)/((-11)/(-22))?
5
Let p = -6673 - -8747. Calculate the remainder when p is divided by 189.
184
Let t = 2853 + -2831. What is the remainder when 258 is divided by t?
16
Suppose 28*z - 708 = 188. Suppose -2*u + 0*u + z = 4*m, 0 = 5*u - 5*m - 110. What is the remainder when u is divided by 6?
2
Let d(w) be the third derivative of 7*w**5/12 + 23*w**4/24 + 29*w**3/3 + w**2 - 108*w. What is the remainder when d(-3) is divided by 14?
10
Let o be ((-56)/3)/(1*8/(-12)). What is the remainder when 36 is divided by 374/14 + 8/o?
9
Let i be (-48)/(-84)*(7 + 2 + -2). Suppose 2*y - 3*b - 203 = 0, y - 130 = i*b - 36. Calculate the remainder when y is divided by 31.
13
Suppose -23*o + 4715 = -2783. Let t = o - 225. What is the remainder when t is divided by 13?
10
Suppose 3*v + 5*v - 32 = 0. Suppose 179 = 3*j - 4*q, 3*j - v*q + 276 = 7*j. What is the remainder when 256 is divided by j?
61
Suppose 0 = u + 3*a - 4*a - 43, 3*u - 105 = -a. Calculate the remainder when 177 is divided by u.
29
Let i(q) = -73*q + 202. Calculate the remainder when i(-2) is divided by 16.
12
Suppose -5*v = -31*w + 35*w - 848, -2*v = w - 206. What is the remainder when 676 is divided by w?
10
Suppose -d = -3*u + 1337, 0 = -5*u + d - 348 + 2579. What is the remainder when u is divided by 678/113 - 9*-1?
12
Let o(u) = 2*u + 71. Let m(g) be the third derivative of g**5/60 - 5*g**4/12 + g**3/6 + 9*g**2. What is the remainder when o(-14) is divided by m(11)?
7
Suppose 4 = -j, 91 = 14*r - 17*r - 4*j. What is the remainder when (r/(175/1176))/(-2) is divided by 31?
22
Suppose -r = 2*g - 16, 3*g - 5*r = -3 + 1. Suppose g*a = -197 + 689. Calculate the remainder when a is divided by 11.
5
Let o = 2448 + -2367. Calculate the remainder when 301 is divided by o.
58
Suppose 0*a = a + 4, -2*u + 24 = -3*a. Let b be (((-189)/u)/(-7))/(9/12). Calculate the remainder when 57 is divided by ((-58)/b)/(8/(-24)).
28
Let v(x) = -12*x**2 + 263*x - 36. Calculate the remainder when v(11) is divided by 32.
29
Calculate the remainder when (84/(-7) + (-700)/(-40))*(37 - 1) is divided by 40.
38
Let d(u) = 17*u**2 - 951*u + 76. Calculate the remainder when 912 is divided by d(56).
120
Let o = 5485 - 5325. Calculate the remainder when 2398 is divided by o.
158
What is the remainder when 144 is divided by 134 - (-16)/(192/84)?
3
Suppose c = 3*c - 108. Suppose c = 9*b - 2214. Suppose -25*i + 29*i = b. Calculate th