008. What is the remainder when h is divided by 54?
33
Suppose -113*x = -115444 - 48138 + 29451. What is the remainder when x is divided by 63?
53
Let j(a) = -7*a - 3. What is the remainder when 5/((-45)/(-2)) - ((-59042)/477 + 60) is divided by j(-4)?
14
Let p(w) = -55*w + 648. Let r be p(9). Suppose 3*v + 339 = u + 3*u, -4*u = v - 351. Let a = r - u. What is the remainder when a is divided by 34?
32
Let a = -30654 - -30740. Calculate the remainder when 3095 is divided by a.
85
Suppose -17*f = 28*f - 28080. Suppose -276 = -12*d + f. Calculate the remainder when 673 is divided by d.
73
Let z = -139 + 139. Suppose 23*p - 22*p - 4 = z. Let d(g) = -g**2 - 6*g - 6. What is the remainder when p is divided by d(-4)?
0
Suppose 5*b - 3*m - 5390 = 10657, -9632 = -3*b - 2*m. Calculate the remainder when b is divided by 247.
246
Let p = -166 + 179. Let k = 41 - p. Calculate the remainder when 111 is divided by k.
27
Let x(q) = 36*q - 173. Suppose -59 = -3*g + 79. Suppose 0*s - 4*k - 92 = -4*s, 2*s = -3*k + g. Calculate the remainder when x(6) is divided by s.
20
Let b(s) = s**3 + 3*s + s**2 + 0*s**2 + 2 - 4*s. Let n(h) = h**3 - 33*h**2 + 222*h + 83. Calculate the remainder when n(10) is divided by b(0).
1
Suppose 12 = 4*r + 2*o, 0*o = 2*o. Suppose 4*u + r*p = -u + 382, -4*u + 304 = 2*p. Let y = 18 + 7. Calculate the remainder when u is divided by y.
24
Let i(r) = r + 13. Let j be i(15). Let s = 29 - j. Calculate the remainder when (1/3 + 502/6)*s is divided by 24.
12
Let z be (-873)/6*24/(-18). Suppose 4*t - 2*u = z, -4*u - 196 = -14*t + 10*t. What is the remainder when t is divided by 19?
10
Let c(s) = -s**3 - 33*s**2 + 2*s - 73. Let l be c(-33). Let a = 174 + l. Calculate the remainder when a is divided by 4.
3
Let c(n) = n**2 + 9*n - 5. Let y be c(24). Let u = y + -531. What is the remainder when u is divided by 26?
22
Let v = 5316 + -4552. What is the remainder when v is divided by 21?
8
Suppose -x + 8 = -18. Let m(p) = -3*p - 4. Let a be m(-2). Suppose a*d - 4*q = 34, 2*q = 3*d + 2*d - 77. Calculate the remainder when x is divided by d.
11
Let w = -563 + 593. Calculate the remainder when w*(9112/16)/17 is divided by 21.
18
Let n(p) = -83*p + 354. Calculate the remainder when (-1248)/(-42) + (-4)/(-14) is divided by n(4).
8
Suppose -4*c + 70 = c. Suppose -5*p + 91 = 2*x, -3*p - 145 = -5*x + p. Let q = 100 - x. What is the remainder when q is divided by c?
11
Let b(k) = -316 + 346 + 8*k**2 - 12*k + 2*k. Calculate the remainder when b(4) is divided by 15.
13
Let p be (-1)/3 + 48/9. Suppose 4*a = p*a - 56. Suppose -70 = -5*o + k, -3*o - 5*k + 9*k + 25 = 0. What is the remainder when a is divided by o?
11
Suppose 2*c = r + 7*c - 44, -3*c = -r + 44. Calculate the remainder when 3126 is divided by r.
2
Suppose 4*s + 25 - 77 = 0. Suppose 0 = 5*m + 14 - 104. Suppose -m + 8 = -2*g. Calculate the remainder when s is divided by g.
3
Let f be 2/((-2)/1) - -1. Suppose f = -m - 0*m + 9. Suppose -30101*u + 676 + 72 = -30084*u. Calculate the remainder when u is divided by m.
8
Suppose 59*o = 633 - 161. Calculate the remainder when 3439 is divided by o.
7
Suppose 0 = 2*i - 3*c - 219, 529*c + 327 = 3*i + 525*c. What is the remainder when 281 is divided by i?
71
Suppose -o = -2, 4*q = -4*o + 601 - 61. What is the remainder when 255 is divided by q?
122
Let o(v) = -v**3 - 10*v**2 - 20*v - 11. Suppose 111 = -f - 5*k, 4*f + 200 = -4*k - 180. Let j = -99 - f. Calculate the remainder when o(j) is divided by 11.
10
Let b(u) = 988*u - 565. Suppose 5*j - 71 = 14. Calculate the remainder when b(1) is divided by j.
15
Let v(k) = 18*k - 13. Let h be v(-8). Suppose 2*d = 52 - 12. Calculate the remainder when ((-3)/(-4 + 1))/(-1)*h is divided by d.
17
Suppose -111*i - 3527 = -7098 - 5642. What is the remainder when i is divided by 12?
11
Let i(y) = 52*y**2 + 460*y + 7. Calculate the remainder when 650 is divided by i(-9).
18
Let i(a) = 8*a**2 + 7*a + 11. Let l be i(-4). Let j = l + -57. Suppose 4*o = -k - k + j, -2*k + 42 = o. What is the remainder when k is divided by 7?
5
Let v = 362 + -359. Suppose 5*s = -5*y + 120, 2*s - 91 + 38 = -v*y. Calculate the remainder when 48 is divided by s.
10
Let b = -106 + 367. Let w = b + -243. Calculate the remainder when w is divided by 11.
7
Suppose q - 5*t = -2*t + 128, 0 = -3*q - t + 364. Calculate the remainder when q is divided by 75.
47
Calculate the remainder when 737 is divided by 6/6 + (-138)/(-6).
17
Let b(g) = -g**2 - 48*g + 175. Calculate the remainder when b(0) is divided by 44.
43
Suppose -71*l = -32*l - 29*l - 1260. What is the remainder when l is divided by 21?
0
Let c = -3 - -43. What is the remainder when 38 is divided by ((-3)/1 - (-340)/c)*2?
5
Suppose 45 = -6*k + 15*k. Suppose 0*u - u = -5*d + 88, -5*d = k*u - 70. Calculate the remainder when 31 is divided by d.
14
Suppose 3*h - 226 = a - 65, -4*h - 5*a + 240 = 0. Let x = -33 + h. What is the remainder when x is divided by 8?
6
Let l(u) = 29*u**2 + 2*u - 2. Let x(h) = -152*h + 780. What is the remainder when l(2) is divided by x(5)?
18
Suppose 373*y - 133356 = 145310 + 98810. Let x(u) = u**2 - 3*u - 5. Calculate the remainder when y is divided by x(6).
11
Let y(p) = -p**3 + 31*p**2 - 80*p - 108. Suppose 5*q - 68 = -4*o, q - 3*o = -0*o + 6. Calculate the remainder when q is divided by y(28).
0
Let s = 37 + -44. Let z = 8 - s. Let k = z + 5. What is the remainder when 34 is divided by k?
14
Suppose -4*r - 420 - 37656 = -80*r. Calculate the remainder when r is divided by 3.
0
Suppose 0 = 10*f - 2380 - 240. What is the remainder when (f - 6) + 4 + (0 - 3) is divided by 52?
49
Suppose -3*a - 5*z = -8, -8 = -2*z - 0*z. Calculate the remainder when 32 is divided by -3 - (10 + a + -14).
2
Let s = 637 + -559. Let j = s + 8. What is the remainder when j is divided by 27?
5
Suppose 0 = 4*y - 5*d - 133, -3*d = 333*y - 329*y - 93. Calculate the remainder when 673 is divided by y.
25
Let r(x) = -179*x - 1160. Calculate the remainder when r(-12) is divided by 140.
8
Suppose 200 = -0*v + 8*v. Suppose -4*s + v*s - 420 = 0. Let k = 49 - -89. What is the remainder when k is divided by s?
18
Let q(h) = 2*h + 30. Let n = 38 - 16. Let m = n + -32. Calculate the remainder when 19 is divided by q(m).
9
Let i be (4 - 0/(-2)) + -4. Suppose -5*f = -i*f - 70. Let b(h) = -h**2 + 15*h + 15. What is the remainder when 85 is divided by b(f)?
27
What is the remainder when 75 is divided by 43 - (-7 + (-70)/(-7))?
35
Let f be 3 + 4/(2 - 1). Let v(n) = 6*n - 26. Let b be v(f). What is the remainder when 16 is divided by ((-36)/b - -3)*4?
1
Let w = 2026 - 1028. Let x(o) = -12*o**3 + 39*o**2 + 79*o + 6. What is the remainder when w is divided by x(-2)?
98
Let m = -220 - -225. Suppose 0 = m*j + 8 - 123. What is the remainder when 67 is divided by j?
21
Suppose -14*h + 47 - 5 = 0. Suppose 53*r - 49*r = -2*d + 26, -4*r - 4 = 0. Calculate the remainder when d is divided by h.
0
Let q(y) = 13*y**3. Let v(l) = -l**2 - 3*l - 8. Let a be v(-3). Calculate the remainder when q(1) is divided by (-4 + (a - 4))*1/(-2).
5
Let y = 10064 + -10014. Suppose -24 = -0*c + c. Let n = 2 - c. Calculate the remainder when y is divided by n.
24
Suppose -2*v = -2*g + 76, -2*v - 100 = -4*g - 28. Let i = -68 - v. Let q = 58 + i. What is the remainder when 58 is divided by q?
28
Suppose 4*c + 3*a + 1160 = 0, -4*c - 3*a - 1160 = -7*a. Let l = 297 + c. What is the remainder when l is divided by 1?
0
Let w(k) = 4*k**3 - k**2 - 22*k + 20. What is the remainder when 412 is divided by w(0)?
12
Let g(w) = w**3 - 6*w**2 + 4*w. Let y be g(5). What is the remainder when 18 is divided by 1/(-3)*(-12 + 15/y)?
3
Let b = 128 - 83. Suppose -130 + 0 - 30 = -16*d. What is the remainder when b is divided by d?
5
Calculate the remainder when 65 is divided by (-1)/(-9) + (-1)/(-2) + (-601)/(-18).
31
Suppose 0 = -25*a + 24*a - 2. Let y be 22/a - 6/(-1 - 1). Calculate the remainder when 9 is divided by (6/(-9))/(y/48).
1
Let y(x) = 31*x**2 - 1015*x + 2028. Let p(l) = 16*l - 1. What is the remainder when y(2) is divided by p(2)?
29
Suppose 7*q - 2132 = -19*q. Let x = 73 + -52. What is the remainder when q is divided by x?
19
Let f = 36 - 21. Suppose 0 = -955*u + 957*u - 5*k - 344, 4*u + k - 710 = 0. Calculate the remainder when u is divided by f.
12
Let x(z)