te the remainder when n is divided by 16.
3
Let x = 13900 + -11973. What is the remainder when x is divided by 274?
9
Suppose -2*p = -98 + 16. Suppose -4*o - 3*t = -99, 8*t + 30 = o + 7*t. Calculate the remainder when (198/o)/((-1)/(-39)) is divided by p.
40
Let s = 284 - 280. What is the remainder when (-7)/(-1) + 248/s is divided by 20?
9
Let r = 1742 + -36. Suppose -16*o - 314 + r = 0. What is the remainder when o is divided by 25?
12
Suppose 11 = -4*d - 3*u, 2*d + u = 3*d - 6. Let l be d/1 - 2/6*-3. What is the remainder when (-12733)/(-102) - l/(-12) is divided by 21?
20
Let f = 68 - 62. Suppose 225 = f*m - m. Calculate the remainder when m is divided by 23.
22
Suppose -5*i - 2877 = 4*a - 20719, 0 = -i + 3*a + 3557. Calculate the remainder when i is divided by 14.
10
Suppose -5*h - 110 = -3*b, -b - h - 7 = -41. Suppose -6*u + b = -7. Suppose 0 = -4*a - 5*o + 445, u = 5*o - 18. Calculate the remainder when a is divided by 27.
24
Suppose -3*w + 15 = 0, -4*a + 2*w = 52 + 322. What is the remainder when (4238/a)/(2/(-7)) is divided by 24?
19
Let a(z) = 5*z**3 + 45*z**2 - 7*z + 11. What is the remainder when a(-4) is divided by 49?
47
Suppose -5*z = 4*l - 1552, -4*z + 8*z - 4*l = 1220. Calculate the remainder when 2168 is divided by z.
12
Let l = 49 + -24. Suppose -v - 180 = -5*v - a, -255 = -5*v - 5*a. Calculate the remainder when v is divided by l.
18
Let g = 3 + -2. Suppose -3*c = -2235*i + 2239*i - 65, 2*i - 90 = -4*c. What is the remainder when c is divided by (-1)/(2/g)*-14?
2
Let o(y) be the second derivative of y**3/3 + 9*y**2 + 23*y. Let h be o(-17). Calculate the remainder when 99 is divided by (-316)/h - 3/12*-1.
19
Suppose 0 = -g - 33 - 111. Let x = -117 - g. Calculate the remainder when 71 is divided by x.
17
Let p(x) = 2*x**2 + 7*x - 5. Suppose 0 = 19*w - 16*w - 4*o - 197, 2*w - 4*o - 142 = 0. What is the remainder when p(6) is divided by w?
54
Suppose -3*p - 5*q = -2868, -3*p + 39*q = 36*q - 2892. What is the remainder when p is divided by 18?
7
Suppose 0*w - 12*w + 1872 = 0. Let l = -133 + w. What is the remainder when 64 is divided by l?
18
Suppose -42*i - 15 = -39*i, -17*i = -w + 2347. What is the remainder when w is divided by 15?
12
Let a(h) = -1200*h - 7445. Calculate the remainder when a(-14) is divided by 49.
45
Let g = 21 - -86. Suppose g*n = 101*n. Suppose 13*u = -n*u + 221. What is the remainder when 83 is divided by u?
15
Suppose 355 - 430 = -5*c. Suppose -20*m - q + 1690 = -c*m, 0 = 5*m + 2*q - 1685. What is the remainder when m is divided by 31?
29
Suppose 18*a - 19*a = 5*d - 5114, -5*a + 3042 = 3*d. What is the remainder when d is divided by 366?
292
Let l(n) = 2*n**3 + 2*n**2 - 2*n. Suppose -2*g = -6, -g = -v + 4*g - 17. Let x be l(v). Calculate the remainder when 51 is divided by (-1017)/(-36) - (-1)/x.
23
Suppose 4462 = -4*v + 238. Let s be 32/14 + -2 + v/(-28). Suppose -16 - s = -3*x. Calculate the remainder when 31 is divided by x.
13
Suppose -m + 5 = -12. Let a(q) = -2*q**3 - 6*q**2 + 35*q + 133. What is the remainder when a(-4) is divided by m?
8
Let b be 36/(-24) + 198/(-4). Let n = 51 + b. Suppose n = -2*i + 126 - 12. Calculate the remainder when i is divided by 20.
17
Let v(d) = -d**3 - 20*d**2 + 20*d - 15. Let c be v(-21). What is the remainder when 105 is divided by 9/c*(-2 + -34)/(-1)?
51
Suppose -37*l + 36*l + 487 = -6*q, -942 = -2*l + 4*q. Calculate the remainder when l is divided by 35.
8
Let l(v) = v + 14. Let j = -410 - -194. Let p = -121 - j. Calculate the remainder when p is divided by l(0).
11
Let a = -8273 + 8277. Suppose -2*i + 329 = -0*i + h, h = 3*i - 496. Calculate the remainder when i is divided by a.
1
Suppose 40*q = 38*q + 223 + 9. What is the remainder when 2314 is divided by q?
110
Let q = 90 - 10. Let o = q - 79. Let x(b) = b**2 + 2*b - 2. Calculate the remainder when x(o) is divided by 1.
0
Suppose -248 = -5*m - 4*r, 0 = -4*m + r + 31 + 159. Suppose -10*f + 153 = -7. Calculate the remainder when m is divided by f.
0
Let n be 1/3 + (-840)/(-18). Let j = n + -34. Suppose -r = -3, f - 4*r = -0*f + 26. Calculate the remainder when f is divided by j.
12
Let k(t) = 26*t. Suppose -x - 2*x = -3*f, 0 = -4*x + 4. What is the remainder when (-32)/(-368) + (-5838)/(-46) is divided by k(f)?
23
Calculate the remainder when 1600 is divided by -3*((-128)/2 + 23).
1
Let a = -232 + 331. Let j = 143 - a. Calculate the remainder when 171 is divided by j.
39
Suppose 2*z + 15 = 4*z + k, 2*k + 10 = 0. Let s(f) = -f**3 + 9*f**2 + 21*f - 35. What is the remainder when 295 is divided by s(z)?
70
Suppose -59*v + 129*v = 5320. What is the remainder when 141 is divided by v?
65
Suppose 5*a + 5*x + 11 = 1, 0 = 5*a - x - 14. Suppose -11*s - a*s = -325. Calculate the remainder when 85 is divided by s.
10
Let x(s) = -s**3 - 10*s**2 - 18*s + 5. Suppose 30 = 2*c - 46. Suppose 6*w + 10 + c = 0. Calculate the remainder when x(w) is divided by 11.
10
Suppose 18*b - 5*b - 45 = 10*b. What is the remainder when (-2 - -1*44) + (-60)/(-15) is divided by b?
1
Let m = -3775 + 4383. Calculate the remainder when m is divided by 67.
5
Let i(y) = -3*y**3 - 36*y**2 - 2*y - 14. Let d be i(-12). What is the remainder when (1 + 54/d)*(-30)/(-4) is divided by 7?
6
Suppose 3*u + 176 + 7 = -3*p, 122 = -2*u + p. Let z = 137 - u. Calculate the remainder when z is divided by 41.
34
Let i(s) = 3*s**2 + 26*s - 7. Let o be i(-9). Suppose o*n = 5*t - 1130, -4*n = -2*t - 8*n + 452. Calculate the remainder when t is divided by 23.
19
Suppose 3*p - 1019 = 2*x, 19*p + 4*x = 17*p + 690. Calculate the remainder when p is divided by 18.
17
Suppose 10*n - 13*n + 5*z = -2547, -z = -n + 847. What is the remainder when n/20 + (-6)/30 is divided by 25?
17
Suppose 3*t - 4*n = -100, -t + 4*t + 4*n + 92 = 0. Calculate the remainder when ((-40)/(-30))/((-9)/((-7533)/12)) is divided by 2 - (-1 - -3) - t.
29
Let v be 22 - (3/3 - (-1 + 0)). Suppose 6*u - 2*u + v = 0. Calculate the remainder when 33 is divided by 2/u*(-3 + 2 + -29).
9
Let o = 143 + 48. Suppose -35 = -7*q + 21. Suppose -l + 53 = v, -7*v = -q*v - 4*l + 68. What is the remainder when o is divided by v?
47
Let a(z) = 24*z - 65. Let k be a(-10). Let i = k + 432. What is the remainder when i is divided by 33?
28
Let y = 6606 + -6556. Calculate the remainder when 11696 is divided by y.
46
Let i(q) = q**2 - 29*q - 76. Suppose 13*y = -5*y - 54. What is the remainder when 2/3 - (-464)/6 is divided by i(y)?
18
Let g(c) = 18*c + 6. Let z be g(3). Let u = z + 8. Calculate the remainder when u is divided by 63/3 - (1 + -1).
5
Suppose 2*b = 4*m - 770, 4*b = 5*m + 7*b - 979. What is the remainder when m is divided by 70?
54
Suppose o + 5*f = 944, 4*f - 2216 = -4*o + 1592. Calculate the remainder when o is divided by 65.
44
Suppose 9*k - 224 = -7*k. Suppose k*x = 17*x - 90. What is the remainder when 100 is divided by x?
10
Suppose 636 = 88*d + 18*d. Let l = 162 + -86. What is the remainder when 32 is divided by d/(-9) - l/(-6)?
8
Let l(n) be the first derivative of 10*n**2 + 44*n - 30. What is the remainder when l(4) is divided by 43?
38
Suppose 62*z - 15625 - 43041 = 108176. What is the remainder when z is divided by 25?
16
Suppose 13*m = 361 + 81. Calculate the remainder when 199 is divided by m.
29
Suppose -548 = -4*i - 3*l, -27*l + 411 = 3*i - 26*l. Calculate the remainder when 1094 is divided by i.
135
Calculate the remainder when 682 is divided by -1 + (-8405)/(-25) + (-351)/(-45) + -8.
12
Let j(t) = 261*t + 3744. Calculate the remainder when 5579 is divided by j(-14).
89
Let w = 258 + -229. Let s(n) = 2*n**2 + 23*n + 549. What is the remainder when s(0) is divided by w?
27
Let h(a) = -2*a**3 + 15*a**2 - 3*a - 18. Calculate the remainder when h(5) is divided by 69.
23
Let n(f) = -f**3 - 12*f**2 - 10*f - 19. Let a be n(-8). Let w = -47 - a. Calculate the remainder when w is divided by 2 - 75/(-3) - (8 + -6).
23
Let o(u) = 11*u - u - 2 + 23*u. Suppose 14*s = 39*s - 850. What is the remainder when o(2) is divided by s?
30
Suppose -255 + 816 = 33*j. Let p(m) = -4*m**3 - 3*m**2 + 1. Let q be ((-3)/4)/((-3)/(-12)). Calculate the remainder when p(q) is divided by j.
14
Let v be (-6 + 0)/(9/((-9)/2)). Suppose 0 = -2*m - 2*l - 2 + 126, 0 = v*m - 3*l - 168. Calculate the remainder when m is divided by 33.
26
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