 is divided by w.
51
Suppose 5*m + 5*a = 280, 18*m = 28*m - 3*a - 651. What is the remainder when 1390 is divided by m?
4
Let q = -17167 - -17172. Let x = -31 + 45. Calculate the remainder when x is divided by q.
4
What is the remainder when 843 is divided by (584/(-56) - 4/7)*13*-1?
128
Let v(r) = r + 25. Let s(h) = h**3 + 5*h**2 - 7*h - 6. Let u be s(-6). What is the remainder when 124 is divided by v(u)?
24
Let q = -2115 + 2168. Calculate the remainder when 423 is divided by q.
52
Suppose -9 = 3*s, 5345 = 5*q + s + 4*s. Suppose 0 = -4*x + 5*a - q, 4*x + 2*a + a = -1072. Calculate the remainder when 78 is divided by 1/5 - (-9)/((-90)/x).
24
Suppose -135 = -2*o - 13*o. Suppose o*f = -0*f + 450. What is the remainder when f is divided by 9?
5
Suppose -4309*u = -4297*u - 96. Let z(v) = v**3 - 19. Let h be z(0). Let m = h - -33. What is the remainder when m is divided by u?
6
Let h(f) = -f**3 - 9*f**2 - 11*f + 8. What is the remainder when h(-9) is divided by 312/(-1456) - 311/(-14)?
19
Suppose 0 = 4*m + 2*p - 28, m - 125*p + 130*p + 2 = 0. What is the remainder when 5221 is divided by m?
5
Suppose 3*r - 2*x + 6*x + 7 = 0, -r - 6 = 5*x. Let q be ((-203)/(-14))/((-2)/(-4)). Calculate the remainder when q - (5 + -1 + r) is divided by 9.
8
Suppose -4 = o, -b - 4*b = -o + 71. Let k = b - -21. Suppose 560 = 47484*q - 47470*q. What is the remainder when q is divided by k?
4
Suppose 3*v + 38 = 50. Suppose 2*r = -0*r + 2. Calculate the remainder when 282 is divided by 1 + (60 - v/r).
54
Let t = -117 + 260. Suppose -5*y - 45 = 3*x - t, 4*y - 16 = 0. Let r = 109 + x. Calculate the remainder when r is divided by 46.
43
Suppose -6*d + 4382 + 3209 = 2311. Calculate the remainder when 891 is divided by d.
11
Let q(j) = 75*j**2 + 130*j + 626. Calculate the remainder when q(-5) is divided by 29.
24
Suppose -3*z - 4*n = -7*z + 1072, -2*z - 3*n = -541. Suppose -102*g + 220*g - 98*g = 600. Calculate the remainder when z is divided by g.
29
Suppose -2*h = 4*x - 34, x - 3 = 2*h - 2. Let i(t) = -8*t + 96. What is the remainder when 117 is divided by i(x)?
37
Suppose 0 = -12*h + 8*h. Suppose h = -14*v + 288 + 566. What is the remainder when v is divided by 9?
7
What is the remainder when 52 is divided by 101/(-606) - ((-454)/12 - 6/(-9))?
15
Suppose -154*q + 183*q - 728 = 2085. Calculate the remainder when 208 is divided by q.
14
Suppose -1491 = -22*m + 15*m. Let q = 119 - m. Let k = q - -161. Calculate the remainder when k is divided by 17.
16
Let b = 9 + 107. Suppose 2*w = -2*t + b, -t - 5*w = -3*w - 53. What is the remainder when t is divided by 4?
3
Let k(f) = 2*f**2 - 54*f - 470. Calculate the remainder when 384 is divided by k(-7).
0
Suppose 3*z - 209 = 2*o + 45, 5*o = -20. Calculate the remainder when 270 is divided by z.
24
Let w(r) = 15*r - 166. Let h be w(17). Suppose g = 4*q + 84, 4*q + q = g - 88. Let i = h - g. What is the remainder when 103 is divided by i?
19
Let q be 6/69 - (-2076)/(-69). What is the remainder when (-135)/(-3)*(336/q)/(-7) is divided by 11?
6
Let n(q) = 4*q + 4. Let w be n(6). Suppose 2*b - 8 = -w. What is the remainder when (-23)/(-2) + (b/4)/(-5) is divided by 5?
2
Suppose w - 4 = -2*x, 0 = -3*w + 2*w + 3*x - 1. Let v(r) = 2*r**2 + 18*r + 23. Let i = -7 - 1. Calculate the remainder when v(i) is divided by w.
1
Suppose 3*v = -4*b + 9461 - 1485, 0 = -4*b + 5*v + 7976. Calculate the remainder when b is divided by 95.
94
Let x(g) = 21*g + 309. Let d(t) = 140*t**2 + 3*t - 2. What is the remainder when d(1) is divided by x(-13)?
33
Suppose 4 - 2 = 2*z. Suppose -j = -2*o + z - 8, 0 = 2*j - 5*o - 10. Let n = -4086 + 4137. Calculate the remainder when n is divided by j.
6
Suppose 2 = -9*l - 70. Let t be (-2030)/l + ((-36)/(-16) - 2). Suppose 46 = -8*d + t. Calculate the remainder when d is divided by 10.
6
Let a(z) = 1528*z + 5297. What is the remainder when a(-2) is divided by 317?
22
Let o(p) = p**3 - 7*p**2 - 10*p. Let g be o(8). Let y = g - -36. Let j(s) = 9*s**2 - 1. What is the remainder when y is divided by j(1)?
4
Let w = 5343 + -5314. Calculate the remainder when 259 is divided by w.
27
Let m = -76 + 136. Let f = 3491 + -3132. Calculate the remainder when f is divided by m.
59
Let p = 4 + -39. Let j = p - -37. Suppose 5*g - 5*z = 60, 5*g + j*z - 5*z = 58. What is the remainder when 28 is divided by g?
6
Let m = 295 + 362. Calculate the remainder when m is divided by 171.
144
Let t(u) = 2*u**2 - 23*u - 533. Let l be (3/2)/(-3)*20. Let j = 28 + l. What is the remainder when t(24) is divided by j?
13
Calculate the remainder when (4 - (-7 - -10))*131 is divided by 129.
2
Suppose -104*k + 99*k = -255. Let w = k + -29. Calculate the remainder when 81 is divided by w.
15
Let u(g) = -11*g**2 + 23*g + 33. Let l(k) = -13*k**2 + 24*k + 32. Let n(i) = 6*l(i) - 7*u(i). What is the remainder when 197 is divided by n(-6)?
8
Suppose 917 = 36*q + 305. Calculate the remainder when 282 is divided by q.
10
Suppose 0 = -25*p + 2*o + 135802, -13*o + 5430 = p - 11*o. What is the remainder when p is divided by 12?
8
Suppose -30490 - 21350 = -205*v - 35*v. What is the remainder when 429 is divided by v?
213
Let s = -1511 + 1643. Suppose -62*h - s = -504. Let p = 26 - 10. Calculate the remainder when p is divided by h.
4
Let t(z) = 88*z + 944. What is the remainder when t(-8) is divided by 139?
101
Calculate the remainder when 920 is divided by 19/((-665)/(-1210)) + ((-18)/(-7))/6.
10
Suppose -2*l - 2*c = 20, -c - 4*c = -3*l + 10. Let u(o) = -7*o + 14. Calculate the remainder when u(l) is divided by 4.
1
Let f = -33 - -32. What is the remainder when 140 is divided by (-1)/(-2)*-2*(f - 17)?
14
What is the remainder when 2481 is divided by (25734/21 - -13) + (-12)/(-21)?
3
Suppose -2*i - 350 = -5*c, -2*i = c - 5*i - 70. Suppose 3*b - c - 29 = 0. What is the remainder when b is divided by 9?
6
Let o = -55 + 88. Let f = 53 - o. Suppose -217 = -3*p - 46. What is the remainder when p is divided by f?
17
Let l(c) = 15*c**2 + 1. Let r = 9 + 3. Suppose r*o = 6*o + 468. What is the remainder when o is divided by l(1)?
14
Suppose -3*n - 296 + 449 = 0. What is the remainder when 304 is divided by n?
49
Let n be (2/(-4) + 1)/(1/254). Let p = -101 + n. Suppose 0 = -25*d + p*d - 4. Calculate the remainder when 31 is divided by d.
3
Suppose 13 + 6 = q. Let o = 36 - q. Suppose -5*d - 2*p + 231 = 0, -p + 233 = 43*d - 38*d. Calculate the remainder when d is divided by o.
13
Let f = 10146 - 9746. Let y(v) = -v**3 + v + 13. What is the remainder when f is divided by y(0)?
10
Let c(n) = 235*n - 5104. Suppose 2*g - f = 128 - 36, 5*g - 260 = -5*f. Calculate the remainder when c(22) is divided by g.
18
Let p(y) = 10*y - 21. Calculate the remainder when (90/(-12))/5*-26 is divided by p(6).
0
Suppose -3*z = -5*l - 432, -3*z + 9*l = 14*l - 492. Calculate the remainder when z is divided by 41.
31
Let n(i) = i**2 - 15*i + 6. Suppose 0 = 3*o - 2*j + 49 - 225, o = 2*j + 60. What is the remainder when o is divided by n(16)?
14
Suppose -5*a - 216 = -4*f, 2*f = -a + 3*f - 44. Let r = a - -87. Suppose 0 = -52*w + r*w + 35. Calculate the remainder when 13 is divided by w.
6
Let p(n) be the second derivative of -n**5/20 - 5*n**4/6 + 13*n**3/6 + 19*n**2 - 100*n. Calculate the remainder when 47 is divided by p(-11).
15
Suppose 42 = 11*q - 5*q. What is the remainder when 43 is divided by q/56*-6*(-35 - 1)?
16
Suppose -58*u + 510 = -7*u. Let o be (-1 + 0)/((-1)/14). Let j = -10 + o. What is the remainder when u is divided by j?
2
Let y(m) = 37*m**3 + 2*m - 3. Let h = -137 + 156. Calculate the remainder when y(1) is divided by h.
17
Let l = -8102 - -8516. What is the remainder when l is divided by 22?
18
Let p = -24806 - -24825. Let o = -32 + 68. Calculate the remainder when o is divided by p.
17
Let y(w) = 19*w - 15. Calculate the remainder when y(8) is divided by -8 - (20 - 12 - (54 + 3)).
14
Let v(l) = -l**3 - 5*l**2 - 3*l. Suppose -256 = 16*b + 19*b - 1691. Calculate the remainder when b is divided by v(-5).
11
Let b = 236 - 190. Suppose -7*n + 515 = b. Let y(u) = -3*u + 5. What is the remainder when n is divided by y(-6)?
21
Let s = -19 - -19. Suppose 4*p - 3*p + 3*a - 126 = s, 0 = 2*a - 10. What is the remainder when p is divided by 36?
3
Let j(o) = 261*o - 74. Let l be j(2). Let i = l - 41