uppose -1 = -m, -6*c = -4*c + 2*m + 472. Let x = c - -394. Calculate the remainder when x is divided by y(-4).
29
Let j(l) = 447*l**2 - 451*l - 5. What is the remainder when j(5) is divided by 37?
35
Let z(c) = -129*c**3 + c**2 - 3*c - 3. Let d be z(-1). Let l = -79 + d. What is the remainder when l is divided by 15?
6
Let y be (224/(-21) - -6)*(-1 - -4). What is the remainder when 101*(y/91 - 30/(-26)) is divided by 13?
10
Let y = -3749 + 3814. Calculate the remainder when 510 is divided by y.
55
Let c(k) = -2559*k - 4173. What is the remainder when c(-5) is divided by 125?
122
Let h = 116 + -142. Calculate the remainder when 28 is divided by -2 - -3*7 - (-78)/h.
12
Let n(o) = 4*o - 52. Let y be n(14). Suppose 136 = -y*d + 156. Calculate the remainder when 92 is divided by d.
2
Suppose -3*t = -8*t + 500. Suppose -4453 + 23615 = -11*l. Let p = l - -1759. What is the remainder when t is divided by p?
15
Let s(b) = 4*b + 5. Let h = -50 - -50. Let u be s(h). Suppose 0 = 2*g - 25 + u. Calculate the remainder when 37 is divided by g.
7
Suppose -2*o - k = -8, 0 = 3*k - 0*k + 18. What is the remainder when 846 is divided by o?
6
Let o(t) = 15*t**3 + 2*t**2 - t - 9. Let s be o(-3). What is the remainder when (s - 0)/(31 + -32) is divided by 44?
41
Suppose -68*a = 190 - 1822. Suppose t + 4*b + b - 83 = 0, 2*t - 4*b - 96 = 0. What is the remainder when t is divided by a?
10
Let y be ((-20)/(-16) - 1) + 44075/20. Suppose 4*t + 15*t - y = 0. What is the remainder when t is divided by 41?
34
Suppose 0 = 2*f - 5*f + 168. What is the remainder when f is divided by (5 - (9 - 1))*(-11 + 7)?
8
Suppose 14*o - 12 = 11*o. Let y = 2 - 3. What is the remainder when (y - 11)/((-6)/3) is divided by o?
2
Suppose 3356 = 38*x - 34*x - 2*f, -5*x + 4*f + 4198 = 0. What is the remainder when x is divided by 104?
6
Suppose 8*d + 2*d = -4*q + 136, -2*d - 136 = -4*q. Calculate the remainder when q is divided by 15.
4
Suppose 3*l = 4*z - 567, 3*l + 434 = 5*z - 277. Calculate the remainder when 847 is divided by z.
127
Let i(b) = -b - 5. Suppose -10*f - 64 = -2*f. Let o be i(f). Suppose 3*r = 5*n + 159, -r - o*r - 3*n = -241. What is the remainder when r is divided by 30?
28
Calculate the remainder when 1/((-10)/50)*(-250 + 6) is divided by 37.
36
Let c = 4706 - 4678. What is the remainder when 334 is divided by c?
26
Let c be (0 - -2 - 2)/(-1). Let f be (-18)/(-6) - 0 - -2. Suppose 2*q - 231 = -2*q - 3*b, f*q - 5*b - 315 = c. What is the remainder when q is divided by 9?
6
Let r be 24/6 - (5 + 0). Let m be -1 - r*(4 + -3). Suppose m = -i - 0*i + 27. What is the remainder when i is divided by 7?
6
Let a(x) = 48*x**2 + x. Suppose 0 = -5*u + 4*p - 322 - 570, -3*u = 2*p + 522. Let h = u + 215. Calculate the remainder when a(2) is divided by h.
38
Suppose -2*t - 36 = -3*t. Let s = 40 - t. Suppose s*n - 3*n - 58 = -2*d, -3*d = 0. What is the remainder when 288 is divided by n?
56
Suppose 1277 - 3212 = -45*t. Suppose 1267 = 3*k + 2*r, -6*k = -2*k + 3*r - 1688. Calculate the remainder when k is divided by t.
38
Suppose 12586 = 71*n + 1936. Calculate the remainder when n is divided by 8.
6
Suppose -3*f - 5*p + 1775 = 0, -2*f - 5*p = -0*f - 1190. Let i(b) = 20*b - 148. Calculate the remainder when f is divided by i(8).
9
Suppose -450 = 255*t - 260*t. Suppose 78 - t = -6*m. What is the remainder when 12 is divided by m?
0
Let o be 22/6 - -4*(-5)/30. Suppose t - 6*t = 5*v - 760, -o*v - 486 = -3*t. What is the remainder when t is divided by 80?
77
Let x be (-21)/(-7) + -152 + 12/3. Let i = 408 + x. Calculate the remainder when i is divided by 30.
23
Suppose -93*m + 99*m - 2058 = 0. Let y = m + -279. What is the remainder when 186 is divided by y?
58
Suppose -3*f = -8*f. Let i(m) be the third derivative of -m**4/24 + 5*m**3/3 - 53*m**2. What is the remainder when 59 is divided by i(f)?
9
Suppose 0*s = -41*s + 18024 + 14120. Calculate the remainder when 1577 is divided by s.
9
Let n(u) = u**2 + 33*u + 32. Let a be n(-32). Calculate the remainder when 102 is divided by (-3 - -1 - 11)*(-1 - a).
11
Suppose 0 = -84*g + 85*g - 4. Suppose h = -4*l + 12, -2*h - 3*h + 36 = -g*l. What is the remainder when 51 is divided by h?
3
Let g = -1081 - -1834. Let q = g - 726. What is the remainder when 215 is divided by q?
26
Let m(a) = a**3 + 5*a**2 - 5*a + 4. Let y = 29487 - 29454. What is the remainder when m(4) is divided by y?
29
Suppose -13*c + 19*c - 1344 = 0. Suppose -52*i + 38*i + c = 0. Calculate the remainder when 23 is divided by i.
7
Let p(b) = b**2 - 26*b + 91. Let d be p(22). Suppose 75 = 5*j - d*u - 694, -j + 164 = -4*u. What is the remainder when j is divided by 18?
8
Let a be (59/3 + -1)*171/(-76). What is the remainder when 160 is divided by (-12)/a - (-376)/7?
52
Suppose -4*r = 5*j - 546, -259 = -3*j - 3*r + 68. Calculate the remainder when 207 is divided by j.
97
Let b(g) = g**2 + 14*g - 12. Let t be b(-15). Let n(v) = 3*v - 9. Let q be n(t). What is the remainder when 27 is divided by (q - -2 - -14) + -5?
5
Suppose -194 = -3*w + 589. Suppose -9*y + w = -171. Calculate the remainder when y is divided by 10.
8
Let a(j) = -117*j + 18. Let i be a(-4). Let t = i + -252. Calculate the remainder when t is divided by 47.
46
Let j = -8643 - -9329. What is the remainder when j is divided by 219?
29
Let i be (-2)/(-5)*(2 + 43). Let b = i - 14. Calculate the remainder when (-2)/(-2)*51 - b is divided by 17.
13
Suppose -4*i + 105 + 23 = 0. Suppose 0 = l + n - 37, -l + 5*n + i = -11. What is the remainder when l is divided by 13?
12
Suppose -2*q = 5*v - 259 - 315, -5*q = -2*v + 247. Calculate the remainder when 433 is divided by v.
85
Let t = 12 - -2. Let n(s) = -s**3 - 20*s**2 - 4. Let u be n(-20). Calculate the remainder when -1 + 4 - 252/u is divided by t.
10
Let k = 6468 + -4310. Calculate the remainder when k is divided by 35.
23
Let n be -1018*(-12)/(-56) - (-3)/21. Let q be (3*n/2)/(6/(-4)). Suppose 38 = -5*v + q. Calculate the remainder when v is divided by 11.
3
Let d = 8 - 6. Let c(v) = -9*v - v**3 + 0*v**3 + 4*v**2 + 10*v + 3*v**d + 8. What is the remainder when c(6) is divided by 13?
11
Let c = 147 + -130. What is the remainder when 13990/110 + (-6)/33 is divided by c?
8
Let u(n) = -10*n**3 - 24*n**2 - 78*n + 75. Calculate the remainder when u(-6) is divided by 23.
22
Let l = -29 + 31. Let k(w) = -5 + w**l + 11 + 0*w**2 - 8*w. Calculate the remainder when k(-8) is divided by 27.
26
Let o = 8167 - 3870. Calculate the remainder when o is divided by 39.
7
Let g(b) = b**2 + 11*b + 14. Let y = 31 + -41. What is the remainder when (-1)/(-3)*3 + 7 is divided by g(y)?
0
Suppose -94 = -2*h - 2*d, 5*d - 3*d = -4*h + 182. Calculate the remainder when (-6)/3 - (-252)/3 is divided by h.
38
Let s = 6587 + -6364. What is the remainder when 7580 is divided by s?
221
Suppose 0 = -5*x + 11 + 129. Suppose -l = q + q + 13, 3*q - 5*l = 0. Calculate the remainder when (q/(-3))/((-120)/(-5616)) is divided by x.
22
Suppose -2*l - 6*i = -3*i - 35, -3*l + 2*i + 59 = 0. What is the remainder when 968 is divided by l?
18
Let i = 260 + -123. Let d(k) = 4*k**3 - 2*k**2 + k - 6. What is the remainder when i is divided by d(2)?
17
Suppose 0 = -3*q + 46 + 56. Calculate the remainder when q is divided by 31*((-43602)/(-806) - 54).
1
Suppose 19*n + 28 = 294. Calculate the remainder when 88 is divided by (-133)/n*14/(-7).
12
Suppose 0 = 3*w + w, -6 = -2*g - w. Suppose 35 = g*v - 16. Calculate the remainder when 25 is divided by v.
8
What is the remainder when 20544 is divided by 84/(-9)*(2/24 + (-1679)/438)?
34
Let y(d) = 5 + 2 - 1 - 7 - 523*d**2. Let g be y(1). What is the remainder when 51 is divided by 22/(-143) - g/26?
11
Let s(m) be the second derivative of 2*m**3/3 + 25*m**2/2 + 428*m. Let a = 18 - 10. What is the remainder when s(a) is divided by 30?
27
Let h(x) = x + 18. Let s be h(-6). Let r = s + -8. What is the remainder when 108 is divided by 77/11*r*1?
24
Suppose -42*t + 35*t - 2436 = 0. Let r = t + 364. What is the remainder when r is divided by (3/(-2))/(1/(-2))?
1
Let f(u) = -12*u**2 + 205*u - 774. Let t = -90 + 132. What is the remainder when t is divided by f(6)?
18
Suppose 3*p + c = 4 - 19, 4*p + 4*c = -12. Suppose 4*x + 81 - 269 = 0. Calculate the remainder when x is divided by -25*(p/(-1))/(-6).
22
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