e the remainder when 31 is divided by n.
7
Let w = 19960 + -19948. Suppose 5*s + 220 = 5*f, -2*f - 15 + 91 = s. What is the remainder when f is divided by w?
4
Let o(l) = -l**3 + 12*l**2 - 24*l + 59. Calculate the remainder when o(5) is divided by 19.
0
Suppose 5*t + 615 = -5*o, 0 = -18*o + 13*o + 3*t - 623. Let w = -10 - o. What is the remainder when 340 is divided by w?
112
Let a = -7998 - -8060. What is the remainder when 94 is divided by a?
32
Let o = 7499 + -6594. What is the remainder when o is divided by 19?
12
Suppose -4*c + 51 = -633. Let u = 302 - c. Suppose -5*s + 167 = -n, 13 - 87 = -2*s + 4*n. What is the remainder when u is divided by s?
32
Suppose 0 = -10*y + 8*y + 52. Let a = 39 + -40. Let i = a - -46. What is the remainder when i is divided by y?
19
Suppose 6*k = 79369 - 75649. What is the remainder when k is divided by 117?
35
Let k(y) = -3*y**2 - 14*y - 3. Let b(a) = -4*a**2 - 15*a - 2. Let h(w) = -4*b(w) + 5*k(w). What is the remainder when h(-5) is divided by (-2)/(1/1) - -38?
32
What is the remainder when -6 - (19/(-2))/((34/(-36))/(-17)) is divided by 23?
4
Suppose -216*o + 400 = -248. What is the remainder when 253 is divided by o?
1
Suppose 4*z - 1710 = h + 14669, -5*z + 3*h + 20458 = 0. Calculate the remainder when z is divided by 82.
79
Let h(l) = -68*l - 42. Let t be 1/(2 - 186/94). What is the remainder when h(-2) is divided by (0 + -3 - t)/(-2)?
19
Suppose -14422*p - 50454 = -14440*p. Calculate the remainder when p is divided by 46.
43
Let p(u) = 3*u**3 - 2*u**2 + 2*u - 14. Let o be p(6). Suppose 8*z + o = 22*z. What is the remainder when 940 is divided by z?
38
Suppose 0 = -u + 71 - 2. Let l = 5807 - 5777. What is the remainder when u is divided by l?
9
Suppose 4*g - 39 = -5*a, -5*a + 2*g = -62 + 29. What is the remainder when 131 is divided by a?
5
Let a be (-2)/(-9) - 590/(-18). Let x = a - 16. Let y = x - 7. Calculate the remainder when 119 is divided by y.
9
Let m = 11949 + -7987. What is the remainder when m is divided by 65?
62
What is the remainder when 4135 is divided by 2/(-3) - 1960/(-60)?
7
Suppose -110 - 105 = -5*v - 2*t, 5*v = t + 230. Suppose 69 = 3*l + 2*m, -2*m + 134 = 5*l - 5*m. What is the remainder when l is divided by (2 - -18) + (-270)/v?
11
Suppose 0 = -4*b + 414 + 210. Let v = b + -49. Let x = -126773 - -126782. Calculate the remainder when v is divided by x.
8
Suppose 3 = w, u + 4*w = 6*w + 7. Suppose l - 3 = 1, -5*p = 5*l - 2095. Let q = p + -368. What is the remainder when q is divided by u?
8
Let n(w) = -11*w**3 - 4*w**2 - w + 2. Let x be n(-2). Suppose -5*m = -484 - x. Let z = -74 + m. Calculate the remainder when 113 is divided by z.
37
Suppose 84*r + 132*r + 75*r - 34338 = 0. Suppose 68 = 6*n - 2*n. Calculate the remainder when r is divided by n.
16
Suppose -f + 2 = -2. Suppose -4*m - 12 = 2*k, 3*k + 180 = -2*m + 154. What is the remainder when f is divided by m?
0
Suppose -5*u - 41 = -2*s - 0*u, 0 = 2*s + u - 11. Suppose -13*o + 4*o - 111 = -363. What is the remainder when o is divided by (-15)/(-2)*s/12?
3
Suppose 3 = 4*n - 13. Suppose -4*l - 5*d = -d - 64, -d + 55 = n*l. What is the remainder when 25*(2 + -1) - 0 is divided by l?
12
Let y(f) = 3*f**2 - 2*f - 8. Suppose -88*p + 114*p = 104. Suppose 24 = j + 3*j. Calculate the remainder when y(p) is divided by j.
2
Let d be (-665)/(-15) - 36/27. Suppose -18 - 627 = -d*c. What is the remainder when 130 is divided by c?
10
Let a(o) = 31 - 7*o - 37 - 45. What is the remainder when 131 is divided by a(-10)?
17
Suppose 29*b - 40143 = -15*b - 4987. What is the remainder when b is divided by 207?
178
Let w be (220/5 - -1) + -5. Suppose 92 = -2*u + 4*t, 4*t = 3*u + w + 98. Calculate the remainder when 47 is divided by 6/9 + 0 + u/(-3).
15
Calculate the remainder when (-3 - -2*1103) + 9 + 3 + -18 is divided by 49.
41
Let z be 0 + -3 + 17 + -2. Let p = 19 - z. Suppose -a + 54 = p*h - 2*h, 326 = 4*a - 2*h. What is the remainder when a is divided by 16?
15
Let d(m) = 16*m**3 + m**2 - m + 255. Let j be d(0). Let q = 416 - j. Calculate the remainder when q is divided by 56.
49
Let a be -2 + (-3)/(-12) + 574/8. Let i = 75 - a. What is the remainder when 22 is divided by i?
2
Suppose 5*z + 27 = 4*o, -3*o + 20 = -o + 4*z. Let b = o - 0. Let j = 928 - 925. Calculate the remainder when b is divided by j.
2
Suppose -4*d + 89 = 3*s, -3*s = 5*d - 2*s - 125. Calculate the remainder when 56 is divided by (d/26)/(1/13).
4
Suppose 0 = -5*r - 0*r - h + 3400, 1343 = 2*r - 3*h. Calculate the remainder when r is divided by 23.
12
Let n(q) = -86*q + 444. Calculate the remainder when 7022 is divided by n(5).
8
Suppose -2170 = -44*j + 37*j. Calculate the remainder when 2/(14/35 - 104/j) is divided by 17.
14
Let x = -5699 - -5728. Calculate the remainder when x is divided by 11.
7
Let a(c) = -14*c + 85. Let q be a(22). Let u = -123 - q. Calculate the remainder when u is divided by 53.
47
Suppose -11*i = 15*i - 17*i - 711. Calculate the remainder when 246 is divided by i.
9
Let o = -3470 - -3509. What is the remainder when 350 is divided by o?
38
What is the remainder when 426/4 + (-2)/(-4) is divided by (-20)/(-16)*(-36)/135*-15?
2
Suppose 0 = -6*u + 8*u - 6. Suppose -u*f - 2 = -44. What is the remainder when ((-1)/1)/(-4) - 78477/(-1212) is divided by f?
9
Let f(h) = 21*h**2 + h. Let v(i) = 214*i - 2623. What is the remainder when v(13) is divided by f(-1)?
19
Let v = 82 - 52. Let b = 93 - 63. Calculate the remainder when b is divided by -3*(-2)/30 + 504/v.
13
What is the remainder when 135 - ((-96)/12 - -2) is divided by 52?
37
Suppose -5*a + 24 = 9. Let x(l) = -1 - 12 - l**2 - 6*l + a + 5. Calculate the remainder when 9 is divided by x(-3).
1
Let b = 9 + -7. Suppose -3*r = -b*r - 6. Calculate the remainder when (-28)/210 + (-257)/(-15) is divided by r.
5
Let s(f) = -23*f + 200. Suppose -4*w + 5*y + 144 = 24, 67 = 3*w + 2*y. What is the remainder when w is divided by s(8)?
9
Suppose a - 56 = -3*w, 0*a + 4*a + 31 = 3*w. Suppose -103 = -3*s - n, 5*s - 124 - 55 = 2*n. What is the remainder when s is divided by w?
1
Let b(d) = d**3 - 23*d**2 - 16*d + 44. What is the remainder when 909 is divided by b(24)?
201
Suppose w = o + 55 + 169, w + 2*o - 230 = 0. Suppose -6*s = -986 - w. Calculate the remainder when s is divided by 41.
38
Let o = 512 + -163. Let c = -43 - -43. Suppose 5*v - t - o = c, 0*t + t + 280 = 4*v. What is the remainder when v is divided by 24?
21
Suppose 12 = -308*j + 310*j. Let y(l) = -l**3 + 7*l**2 + 4*l - 41. What is the remainder when (-3 - (-5 - -1))*71 is divided by y(j)?
14
Let k = 3 - -8. Let t be (-2)/k - 414/(-99). Suppose 0 = -3*o - t*j + 269, 2*o + 2*j = -0*j + 182. Calculate the remainder when o is divided by 12.
11
Let h(p) = p**3 - p**2 + p - 3. Let y(x) = -x**3 + 14*x**2 - 15*x - 14. Let q(g) = -2*h(g) - y(g). Calculate the remainder when 53 is divided by q(-13).
13
Let l = 598 + -593. Let x(v) = 89*v. What is the remainder when x(1) is divided by l?
4
Let c(r) = -52*r - 19. Calculate the remainder when c(-2) is divided by (-24)/10*(-50)/18*3.
5
Suppose 17*r - 284 = 13*r + 2*g, 4*r - 284 = 5*g. What is the remainder when 2/(-5) - 1986/(-15) is divided by r?
61
Let b(d) = d**2 - 17*d - 59. Let q be b(23). Suppose -6*c + 41 + q = 0. What is the remainder when 38 is divided by c?
18
Let r(p) = p**3 + 15*p**2 + 7*p + 17. Calculate the remainder when r(-10) is divided by 110.
7
Let k be 8/((7/1113)/(24/9)). Suppose -k = -9*g + 3349. Suppose 10*h - g - 121 = 0. What is the remainder when h is divided by 19?
11
Suppose -3*m + 5*k + 22 = 0, 0 = -m - 0*k + 2*k + 8. Suppose -149 = -3*w + 2*z - 20, 0 = -m*z + 12. What is the remainder when 179 is divided by w?
44
Let i be (-21)/(-14) - 1154/(-4). Suppose -20*f = -3690 + i. Calculate the remainder when f is divided by 57.
56
Suppose 0 = -9*l + 15*l - 204. Let n = -43 - -31. Let b = n + l. Calculate the remainder when 129 is divided by b.
19
Let a be (10/6)/(3/9). Suppose -a*t + 55 = 3*p, -7 = 2*t + p - 30. Calculate the remainder when t is divided by 3.
2
Suppose -16*q - 31125 = -33957. Suppose 3*v - 5*r = 145, -3*v - 5*r = 2*v - 215. Calculate the remainder when q is divided by v.
42
Suppose 0 = 5*s + 63*y - 59*y - 5627, 2*y = -4*s + 4510. Calculate the remainder when s is divided by 70.
11
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