 Let f = 116 + 18. Calculate the remainder when f is divided by z.
15
Let s(i) = 80 - i + i**2 - 19 + 10. Let h be ((3 + -3)/((-6)/(-6)))/(-3). What is the remainder when s(h) is divided by 24?
23
Let c be 92/(-6) - 5/(-15). Let v be 22/4 + (c/2 - -6). Suppose p - 12 = -v*y + 6, 5*y + 30 = 4*p. What is the remainder when 19 is divided by p?
9
Let c = -50 - 15. Let s = -62 - c. Suppose -4*o + s*r = -193, 2*o = -4*r + 3*r + 89. What is the remainder when o is divided by 12?
10
Let p(a) = 3*a**3 - 515*a**2 - 165*a - 1078. Suppose -4*m + 163 = -3*b, 3*b = 6*b + 15. What is the remainder when p(172) is divided by m?
15
Let t be -2 - (6 + (-23 - -2)). Suppose 11*u + 3*f = t*u - 8, -16 = -4*u + 3*f. Let l = 26 + -3. What is the remainder when l is divided by u?
3
Let h(l) = 7*l**2 + 1. Let r = -1235 - -1303. Calculate the remainder when r is divided by h(-1).
4
Let p = 259 + -76. Let a = 193 - p. What is the remainder when a is divided by 3?
1
Let w be 1*(5 - 0) + (49 - 52). Suppose -w*z = -2*x - 5*z + 39, 0 = 4*x + 4*z - 88. What is the remainder when x is divided by 7?
6
Suppose 197*t - 641688 = 19838. Calculate the remainder when t is divided by 15.
13
Suppose 6*g - 1720 = -5*y, -3*y - 269*g + 1101 = -270*g. What is the remainder when y is divided by (8/(-10))/(3/(-195))?
50
Let h = -12 - -36. Let r(m) = m**2 - 470*m + 29444. Calculate the remainder when r(396) is divided by h.
20
Let x = 57 + -51. Let k be (-648)/(-32) - x/(-8). Let d = 48 - k. Calculate the remainder when d is divided by 7.
6
Let d(n) = 3*n**2 - 5*n - 17. Let b be d(4). Let s(k) = -3*k**2 + 33*k + 23. What is the remainder when s(b) is divided by 5?
3
Let v(a) = 4*a. Let u = -127 - -129. What is the remainder when (u/(-6))/((-11)/165) is divided by v(1)?
1
Let c = 3502 + -3304. Calculate the remainder when c is divided by 34.
28
Let n(f) = -f**3 - 4*f**2 - 3*f + 1. Let g be n(-2). Let i be (-12 - -9) + 48/(1 - g). Suppose i = -2*u + 29. What is the remainder when 4 is divided by u?
0
Let g = -30 - -59. Suppose -3*y + 0*x - x + 23 = 0, 0 = 4*y + 3*x - g. Calculate the remainder when 23 is divided by 18 + -2 - y/2.
11
Suppose -79*n = 26*n + 30*n - 13635. What is the remainder when n is divided by (-2 - 32/(-3))*6?
49
Suppose 2*o = -3*o + 15. Let c(z) = -12*z**2 - z**3 + 2*z - 4*z - 22 + 0*z**o. What is the remainder when 7 is divided by c(-12)?
1
Suppose -5*x - 11 = -3*x + 5*j, 4*x = 4*j + 20. Suppose -117 = -x*i + 5*a - 37, -i + a + 34 = 0. Calculate the remainder when i is divided by 6.
0
Suppose 4*y = -r + 1910, 0*y - 2*y + 964 = 5*r. Suppose -4*n + 9 = -55. Calculate the remainder when y is divided by n.
13
Let y = 6089 + -5628. What is the remainder when y is divided by 49?
20
Suppose 3*z - 523 = -5*t, 13751*t + 40 = 13756*t. Let y = 24 + -9. Calculate the remainder when z is divided by y.
11
Suppose 0 = -s + 2*s - 70. Suppose -4*q = -5*h + 62, -3*h - 4*q + 7*q + 39 = 0. Suppose -h*b + 263 = -97. Calculate the remainder when s is divided by b.
34
Let k = -4270 - -7789. Suppose 19*v + 441 = k. Calculate the remainder when v is divided by 42.
36
Suppose -39287 - 8260 = -27*v. What is the remainder when v is divided by 88?
1
Let n(q) = 2*q**2 + 53*q - 82. Let v be n(-28). Calculate the remainder when (2 - 0/2) + 10 is divided by ((-114)/(-190))/(v/40).
0
Suppose -4*m + o + o + 16 = 0, -2*o = 2*m - 8. Suppose -m*v + 26 = -3*w, 4 = -2*w - 0. Calculate the remainder when 30 is divided by v.
0
Suppose -3*b + 470 = 71*b - 2490. What is the remainder when 1 - 2 - 5395/(-5) is divided by b?
38
Let c(n) = -38*n**2 - 15*n + 47*n**2 + n**3 - 26*n**2 + 27. Suppose -4*j = -w + j + 67, 193 = 4*w - 5*j. Calculate the remainder when c(18) is divided by w.
39
Suppose 0 = -5*r, -p - 3*r = -0*p + 12. What is the remainder when 43 is divided by 18*((-16)/(-20))/(p/(-20))?
19
Let r(o) = -19*o**2 - 295*o - 46. Suppose 0*x = -4*x + 60. Calculate the remainder when r(-15) is divided by x.
14
Suppose 2854 = 289*g - 32982. What is the remainder when 1024 is divided by g?
32
Let i(u) = -40*u**3 + 479*u**2 + 17*u - 11. What is the remainder when 618 is divided by i(12)?
30
Let h(w) = -w**2 - 14*w - 11. Suppose -11*o = -0*o + 121. What is the remainder when 83 is divided by h(o)?
17
Suppose 1155 = 8*h + 75. Suppose 0*r = -5*r + h. What is the remainder when r is divided by 1 + 1 + (5 - 1)?
3
Let q(l) = l**3 - 7*l**2 + 4*l - 9. Let j(y) = 3*y - 11. Let s be j(10). Suppose s = b - z, 4*b + z - 56 = 15. What is the remainder when q(8) is divided by b?
15
Suppose -4*t = 5*g - 398, -3*g = -5*t + 427 + 52. Calculate the remainder when 422 is divided by t.
34
Let x(z) = 2*z**3 + 71*z**2 - 23*z + 21. What is the remainder when x(-12) is divided by 35?
30
Let j = 38 - -5. Let l = 56 + -52. Suppose -5*g + 45 = 2*z, -3*z + l = 19. Calculate the remainder when j is divided by g.
10
What is the remainder when 1*-2 + 53/(-159)*-8895 is divided by 421?
16
Let i(v) = v**2 - 20*v + 33. Let h be i(18). Calculate the remainder when 1 - (h - (1 + 183)) is divided by 32.
28
Let d = 5976 + -5967. What is the remainder when 723 is divided by d?
3
Suppose 5 - 107 = -3*h + 3*v, 4*h + 3*v = 108. Let y = -503 - -343. Let q = y - -247. Calculate the remainder when q is divided by h.
27
Let o(f) = -3*f + 1. Suppose -2*s - 5*s + 1302 = 0. Suppose -3*y - s = -5*z, z - 3*z - 2*y = -84. What is the remainder when z is divided by o(-3)?
9
Suppose 18*o - 41*o = -69. Suppose 0 = -5*h - 2*b + 5*b + 97, 0 = 2*h + 2*b - 26. What is the remainder when h is divided by o?
2
Let n(w) = 4*w**2 - 4*w - 5. Let l(x) = 4*x**2 - 4*x - 5. Let h(p) = 3*l(p) - 2*n(p). Calculate the remainder when 46 is divided by h(-2).
8
Suppose 0 = -8*u + 24283 - 403. What is the remainder when 11946 is divided by u?
6
Let v(y) = -13*y + 31. Let k(r) = r + 12. Let h be k(-15). Calculate the remainder when v(h) is divided by 6.
4
Let c be 2/2 - (201 - 0). Let v = -116 - c. Suppose -4*n = -k - 124 + 40, 4*n = -2*k + v. Calculate the remainder when 81 is divided by n.
18
Suppose 4*n - 109*n + 4440 = 15*n. What is the remainder when (214/3)/((-4)/(-6)) is divided by n?
33
Let a = 37 - 37. Let o be (a - -1) + (-5)/(-10)*6. Suppose -o*m + 5*x + 63 = 0, 2*m + 3*m + 3*x - 51 = 0. What is the remainder when 29 is divided by m?
5
Let s(d) = 6*d + 2*d**3 + 6*d - 4*d - 1 - 14*d**2. Let p be s(7). Suppose 3*f = 8*f - p. Calculate the remainder when 120 is divided by f.
10
Let q(b) = 13*b - 80. Let j be q(7). Suppose j*u = 16*u - 90. Suppose -2*v + 7 = -3. What is the remainder when u is divided by v?
3
Suppose -356*v + 11 = -1413. Suppose 10*y = 5*y + 2500. Suppose -298 = -v*g - 2*u + 102, 0 = -5*g - 5*u + y. What is the remainder when g is divided by 13?
9
Suppose 22*n = 24*n - 48. Suppose 18*l - 14*l - n = 0. What is the remainder when l is divided by (-12)/10*(-80)/24?
2
What is the remainder when 142 is divided by (-1 - 7/(-6)) + (2680/48 - 7)?
44
What is the remainder when -178 + 2532 - (-14)/(-1) is divided by 465?
15
Let y(j) = 19*j**2 - 224*j - 31. Calculate the remainder when 1863 is divided by y(12).
10
Suppose -4*j - 29 = -w, 50*j - 54*j = 20. Calculate the remainder when 835 is divided by w.
7
Let m(n) = 3*n**2 - 29*n + 76. Calculate the remainder when m(12) is divided by 38.
8
Suppose 4*r + 37*f - 35*f - 6266 = 0, 0 = 5*f + 5. What is the remainder when r is divided by 14?
13
Let a(x) = 2*x**3 - x**2 + 8*x + 3. Let y be a(3). Let g = y + -61. Calculate the remainder when 34 is divided by g.
1
Suppose 425*a = 429*a - 320. Calculate the remainder when 524 is divided by (32/14)/(a/560).
12
Let g = -7761 + 7920. Calculate the remainder when 545 is divided by g.
68
Let x = -250 - -252. Suppose x*z - 3*i + 7 = -6*i, 0 = 5*z + 4*i. What is the remainder when 42 is divided by z?
2
Let f = 458 + 1. Suppose 12*j - f = 10*j - 3*a, -a = 3*j - 671. Calculate the remainder when j is divided by 58.
48
Suppose -t = t - 246. Let m(n) = 3*n**2 + 9*n + 2*n**2 - n**2 - 102 + 116 - 3*n**2. Calculate the remainder when t is divided by m(-9).
11
Let a = 24008 - 23984. What is the remainder when 41 is divided by a?
17
Suppose -24*z + 28*z + 176 = 4*i, 9 = -3*z. What is the remainder when 1393 is divided by i?
40
Let r = -135 - -137. Suppose -r*n + 2388 = 10*n. What is the remainder when n i