 a is divided by k.
48
Suppose -5*u - 5*r = -u - 153, -r - 45 = -u. Let a be (12/u)/((-2)/(-7)). Calculate the remainder when 63 is divided by a/5*-2 + 224/10.
19
Let z(g) = -g + 3. Let n be z(0). Suppose -12*i + 13*i - 2 = 0. Suppose i*v - 455 = -n*v. What is the remainder when v is divided by 24?
19
Let u = 13 + -8. Suppose 94 + 51 = u*o. Let m = -155 - -240. What is the remainder when m is divided by o?
27
Suppose p - 3*a - 13 = 0, -4*a = 2*p - 3*a - 5. Suppose -p*z + 166 = 2*v, 2*z = -6*v + 11*v + 77. What is the remainder when z is divided by 11?
8
Let d(x) = -10*x**2 - 471*x + 24. What is the remainder when 492 is divided by d(-47)?
66
Let j(m) = 8*m**2 - 4*m - 3. Let q be j(1). What is the remainder when (25 - (q - -3)) + (1 - 1) is divided by 4?
1
Suppose 4*y + 4*t = 4128, 2*y = 1908*t - 1906*t + 2056. What is the remainder when y is divided by 105?
85
Let r(h) = -81*h - 5841. Calculate the remainder when r(-76) is divided by 61.
10
Let i = -30 - -42. Let r(h) = h**3 - 14*h**2 + 22*h + 16. Let k be r(i). What is the remainder when ((-2)/k)/(1/116) is divided by 20?
9
Let c(w) = 1183*w - 28273. Suppose 5*l = 3*g - 74, -41 = -2*g + 4*l + 11. Calculate the remainder when c(24) is divided by g.
11
Let x(y) = -81*y**3 + 3*y + 2. Let a be x(-1). Suppose -2*t + 62 + a = 4*d, -2*d - 67 = -t. What is the remainder when 272 is divided by t?
65
Suppose -1031*m = -996*m - 81620. Calculate the remainder when m is divided by 32.
28
Suppose -4*l + 1107 + 101 = 2*a, 2*a + 4 = 0. Let z = -240 + l. Calculate the remainder when 185 is divided by z.
59
Suppose -o + l - 5*l = 49, -4*o = -4*l + 156. Let c be (-26 - 4)*(1 - o/(-3)). Suppose -14*h + c = -10*h. What is the remainder when h is divided by 8?
7
Suppose -5*s + 3*v = -2880 - 3699, -6591 = -5*s - 3*v. What is the remainder when s is divided by 15?
12
Let f(x) = -16*x**3 - 3*x**2 + 2. Let d be f(-2). Let a be (110/8 - (-1 - 0))*-4. Let z = a + d. Calculate the remainder when z is divided by 15.
14
Let j be (-7)/(-3) - (-2)/(-6). Let d = -208 + 268. Suppose 3*n - 3*l - d = 0, 5*n - 100 = j*l + 2*l. Calculate the remainder when n is divided by 6.
2
Suppose -5*s = z - 727 - 523, 16*z = s + 20324. Calculate the remainder when z is divided by 312.
22
Suppose 0 = 2*p + o - 16, 0 = 3*p + 4*o - 0*o - 14. Calculate the remainder when 469 is divided by p.
9
Let q = -1101 - -1236. What is the remainder when q is divided by 86?
49
Suppose 2*q = 3*q - 3 + 9, -4*i + 1806 = 5*q. Let o = 101 - 68. Calculate the remainder when i is divided by o.
30
Let f(k) = 5*k + 32. Let a = 105 - 104. What is the remainder when (-2)/((-4)/(-2))*-71 is divided by f(a)?
34
Let u be (-18)/12 - (-105)/10. Let j(v) = v**3 - 11*v**2 + 27*v - 4. Calculate the remainder when 243 is divided by j(u).
12
Suppose 12*h + 423 = 63. Let y = h - -33. Suppose 3*f - 3 = y. What is the remainder when 7 is divided by f?
1
Let k = -223 + 484. Let n = 385 - k. Calculate the remainder when n is divided by 19.
10
Let w = 60 + 435. Calculate the remainder when 430 is divided by 40*11/(w/81).
70
Let h be 13 + (-3 + 12)/(-3) + -2. Let n(y) = y**3 - 8*y**2 + 4*y - 20. Calculate the remainder when 130 is divided by n(h).
10
What is the remainder when (6/(-9))/(156/117)*-2248 is divided by 71?
59
Let y(c) = -192*c - 8797. Calculate the remainder when 1 - 3/((-3)/55) is divided by y(-46).
21
Let w(q) = 4*q**2 - 78*q + 440. What is the remainder when 422 is divided by w(16)?
206
Let t = -12 + 7. Let k(o) = -o**3 - 6*o - 14. Let d be k(t). Suppose 4*g + 188 = 4*r + g, 3*r - d = -g. Calculate the remainder when 138 is divided by r.
44
Suppose 3*t = -0*t + 36. Let s = 163250 - 163155. What is the remainder when s is divided by t?
11
Let l(p) = p**2 + 3*p + 2. Suppose -54 = m - 359. Let y = m - 283. Calculate the remainder when y is divided by l(-4).
4
Suppose 3*u + 4*d - 64 = 0, -u = -4*d - 20 + 4. Suppose 5*o = 3*r + 218, -4*o = u*r - 23*r - 175. What is the remainder when o is divided by 12?
7
Let j(u) = -9*u**2 + u + 2. Let z be j(-2). Let n(w) = -35*w - 520. Let s be n(-16). Let o = s + z. What is the remainder when 22 is divided by o?
2
Let s = -5788 - -5854. Calculate the remainder when 1534 is divided by s.
16
Suppose -25*o + 10 = -165. What is the remainder when 200/(-2 + o) + 8 is divided by 28?
20
Suppose 5*h = -5 + 130. Let f = -75 + 270. Calculate the remainder when f is divided by h.
20
Let r(p) be the first derivative of 2*p**2 - 37*p + 18. What is the remainder when 41 is divided by r(12)?
8
Let s = 5 + -8. Let p be ((48/(-9)*s)/2)/2. Suppose p*w + 4*o = 264, -5*o + 0*o = -2*w + 139. Calculate the remainder when w is divided by 14.
11
Suppose 2*s - 76 = -5*a, 4*a - 4*s - 30 = a. Suppose -2*p = -p - 54. Calculate the remainder when p is divided by a.
12
Let c = -300 + 302. Let h(r) = 17*r**3 - 2*r**2 - 2. What is the remainder when h(c) is divided by 11?
5
Let b = 160 - 157. Suppose -2*r + 4*t + 796 = 0, -10 = 2*t + b*t. Calculate the remainder when r is divided by 11.
9
Suppose -124 - 308 = -d. Suppose -795*r + 156948 = 1009*r. What is the remainder when d is divided by r?
84
Let k(u) = u**3 - u**2 - 4*u. Let h = 166 + -166. Suppose 0 = 3*m + 4*g - 53, -17 = -h*m - m - 2*g. What is the remainder when m is divided by k(3)?
1
Suppose 56 = 2*w - 2*z, -w = 4*w + 5*z - 190. Suppose 0 = -w*m + 25*m + 312. What is the remainder when m is divided by 20?
19
Suppose -42*k + 2888 = 28*k + 6*k. Calculate the remainder when 676 is divided by k.
30
Let j(s) = 7*s - 34. Let x be j(5). Calculate the remainder when (-2 - -29)*13/x is divided by 59.
56
Suppose -3*x + m = -1678, -5*x + 2810 = -9*m + 4*m. Let p = 583 - 503. What is the remainder when x is divided by p?
78
Suppose -2*y + 310 = 8*y. What is the remainder when (-9)/(-18) - 117/(-2) is divided by y?
28
Let w(l) = 42*l**2 + 550*l + 262. What is the remainder when w(-13) is divided by 2/(-4)*1*-36?
12
Let q(r) = -14*r - 168. Let p be q(-12). What is the remainder when 1*-2 + 143 + -4 is divided by (1*(-1 + p))/(16/(-560))?
32
Let m be (113328/(-40))/9 + 1/(-5). Let j = -287 - m. What is the remainder when 137 is divided by j?
25
Suppose 4433 = 5*z + 2*t, 2*z = -10*t + 2075 - 311. Calculate the remainder when z is divided by 27.
23
Let r(a) = -a**3 - 18*a**2 - 2*a + 91. What is the remainder when r(-18) is divided by 24?
7
Let u be 9*6/9 - 1. Suppose 31*q - 52*q = 0. Suppose -u*b - 2*i + 103 = q, 4*i + 38 = 3*b - 29. What is the remainder when b is divided by 4?
1
Let t(n) = n + 266. Let r be t(-55). Suppose -25*y = -r - 514. What is the remainder when y is divided by 12?
5
Let x = -258 - -262. Calculate the remainder when 225 is divided by (-2340)/(-51) - x - (-8)/68.
15
Let h(l) = 3*l - 13. Let k be h(10). Let a(x) = 3*x**2 - 47*x - 47. Calculate the remainder when 206 is divided by a(k).
17
What is the remainder when 2740 is divided by (301 - 7)*(32/39 + (-54)/351)?
192
Let z = 55 + -45. Let q(i) = 14 + 7*i**2 + 0*i**2 - z*i - 2*i**2 - 4*i**2. Calculate the remainder when 17 is divided by q(9).
2
Let w(x) = -x**3 - 43*x**2 + 742*x + 47. What is the remainder when w(-57) is divided by 135?
134
Let j(g) = g - 1. Let k be j(4). Suppose -11 + 53 = -k*f. Let d = 54 - f. What is the remainder when d is divided by 14?
12
Suppose 1619*z + 6670 = 1629*z. Suppose 0 = -5*n + 2*i + 56, 4*i + 2 = 2*n - 3*n. What is the remainder when z is divided by n?
7
Let k = 794 - 1311. Let t = k - -539. What is the remainder when 131 is divided by t?
21
Suppose -47*k = -28837 - 6319. Let c = k + -427. What is the remainder when c is divided by 54?
51
Let s = 38 - 29. Let d(x) = -x**2 + 21*x - 19. Let k be d(s). Suppose 5*m = k - 34. Calculate the remainder when m is divided by 7.
4
Let r = 24 + 122. What is the remainder when 1478 is divided by r?
18
Suppose 108 = 12*x - 372. Let b = -94 + 22. Calculate the remainder when x is divided by ((-2)/(-6))/((-4)/b).
4
Suppose -40 + 8 = -2*l. Suppose 13*d + 209 = -6*d. Let h(w) = -2*w**2 - 21*w + 22. Calculate the remainder when l is divided by h(d).
5
Let l(u) = 28*u - 972. What is the remainder when 582 is divided by l(40)?
138
Suppose -6 + 29 = t - 2*o, 5*o = 3*t - 70. Calculate the remainder when (-2 - 10/(-4))*186 + -1 is divided by t.
17
Suppose 4*o - 97 = -b, -112 = -4*o + 7*b 