v - 0*v, o = -v - 2*m + 56. Calculate the remainder when v is divided by 6.
4
Let d(l) = -l + 17. Let j be d(-12). Suppose 3*f + 2*r - 133 = j, -147 = -3*f + 3*r. Suppose 0 = 5*n - 138 - f. What is the remainder when 150 is divided by n?
36
Suppose -45*g + 142 = -43*g. Calculate the remainder when g is divided by 65.
6
Suppose 6*c = a - 56, -4*a + 112*c - 116*c = -56. What is the remainder when 2014 is divided by a?
14
Let t(d) be the third derivative of -7*d**4/24 - 4*d**3 + 2*d**2. Let c be t(-7). Let l = c + -12. What is the remainder when 20 is divided by l?
7
Suppose -9 = 8*j - 11*j. Calculate the remainder when (2 - -3*2/j) + 35 is divided by 15.
9
Suppose 176 = 2*z + 2*z + 4*r, 0 = -3*r + 12. Suppose 7 = l + x, -l + 5*x - 1 = -44. Calculate the remainder when z is divided by l.
1
Suppose 0 = -2*u + 6*u - 84. Let w(p) = -4*p**2 - 3*p + 69. Let l be w(-9). Let m = -152 - l. Calculate the remainder when m is divided by u.
13
Suppose -6*m + 5*m + 7 = 0. Let c(n) = n**2 - 9*n + 11. Let b be c(m). Calculate the remainder when 111 is divided by 0 + 3 + 2*(b + 16).
24
Suppose -c - 227 = -250. Suppose 29*g = c*g + 180. Calculate the remainder when g is divided by 5.
0
Suppose 5*f = -2*g + 3009, -4*g + 5028 + 983 = 3*f. What is the remainder when g is divided by 93?
14
Let z(h) = -h**2 + 2*h - 4. Let l be z(-3). Suppose b - 32 = -4*c + 1, 5*b - 121 = 2*c. Let w = l + b. Calculate the remainder when w is divided by 6.
0
Suppose 3 + 3 = -v. Let x be 2028/117 - (-2)/v. Let i = 47 + x. What is the remainder when i is divided by 11?
9
Suppose 5*t = -w + 4*t - 22, -46 = 2*w + 4*t. Let q(x) = x**2 + 16*x - 43. Calculate the remainder when q(w) is divided by 18.
8
Let o(x) = -3*x + 8. Let l = -24 - -29. Suppose 0 = -l*n - 11 + 106. What is the remainder when o(-15) is divided by n?
15
Let v be -2*9/(-18)*4. Suppose -5*o - 5*n + 195 = -2*n, -v*o = 4*n - 164. Calculate the remainder when o is divided by 32.
4
Let o(v) = v**3 - 369*v**2 + 315*v + 19539. Let u = -365 + 958. Calculate the remainder when u is divided by o(368).
33
Suppose -t + 95 = 20. What is the remainder when t is divided by (-9 - 539/(-35))*20/8?
11
Let v be 49/21*-4*-39. Suppose -25*a + 636 = -v. What is the remainder when 79 is divided by a?
39
Let r = -7236 + 7296. Calculate the remainder when 254 is divided by r.
14
Suppose 3*t - 1 = 17. Let j be t/8*(4/(-4) + 13). Let a(m) = 6*m - 41. Calculate the remainder when 44 is divided by a(j).
5
Let w(n) = 2*n**2 + 3*n + 2. Suppose -66*i + 189 = -59*i. What is the remainder when w(6) is divided by 108/90*-3*(-240)/i?
28
Let i(s) = -590*s - 1000. Let x = 13 + -5. Calculate the remainder when i(-2) is divided by x.
4
Let r(u) = 2*u**2 - 302*u - 7415. Calculate the remainder when r(-22) is divided by (-1)/(-1) + 9 - 1.
8
What is the remainder when 425 is divided by (-291819)/(-4107) + 4/(-74)?
70
Let u = -340 - -593. Suppose 0 = -6*s - 1 + 19. Suppose -36 = -2*g - 4*y, -g - 2*y + 21 = s*y. Calculate the remainder when u is divided by g.
13
Suppose 2*i = 4*j - 768, 0 = 3*j - 295*i + 291*i - 591. What is the remainder when j is divided by 59?
12
Suppose 16*y - 1016 = 104. Let t = y - 38. Calculate the remainder when t is divided by 6.
2
Let t(j) = j**3 - 15*j**2 + 2*j - 18. Let p be t(15). Suppose -396 = 16*y - p*y. Let s = -25 - y. Calculate the remainder when s is divided by 25.
24
Suppose -m = -4*n - 1887, -2*n = 11*m - 15*m + 7618. Calculate the remainder when m is divided by 83.
81
Let u = -22 + 27. Suppose -u*j - 12 = -57. Let x(p) = 17*p**3 - 2*p**2 - p + 2. What is the remainder when x(1) is divided by j?
7
Let j = -3501 - -3646. Calculate the remainder when 1594 is divided by j.
144
What is the remainder when (10*-23)/((-221)/(-85) + 1*-3) is divided by 45?
35
Suppose -13*m - 36 = -2*d - 9*m, d - 22 = 3*m. Let s = 81 + 7. Calculate the remainder when s is divided by d.
8
Let x(a) = 128*a + 2975. What is the remainder when 2624 is divided by x(-23)?
20
Let c(x) = -x**2 - 7*x - 8. Let m be c(-3). Let j = m + 62. Calculate the remainder when j is divided by 23.
20
Suppose w = -9*t + 4*t + 20, -20 = -5*t + 4*w. Suppose -y = t*y - 325. Calculate the remainder when y is divided by 11.
10
Suppose 377 + 15 = 7*v. Let s = v - 46. What is the remainder when 18 is divided by s?
8
Suppose w = 5*m - 2866, -5*w + 587 = -2*m + 1761. Calculate the remainder when 2288 is divided by m.
0
Suppose 33 = a - l - 107, 5*l - 388 = -3*a. Suppose a*q = 150*q - 140. What is the remainder when 26 is divided by q?
6
Suppose 0 = 2*j + 5*v, -7*j - 41*v + 241 + 74 = -46*v. Suppose -h = -3*h + 218. Calculate the remainder when h is divided by j.
4
Let w be 257/2 + 25/10. Suppose w - 635 = -8*j. Let c = 16 + 6. Calculate the remainder when j is divided by c.
19
Suppose -8 = -4*d, -24*o + 25*o - 39 = -d. Calculate the remainder when 1218 is divided by o.
34
Suppose -5*x = 15, 732*x + 23 = 2*s + 729*x. Let r be (-40)/(-4)*(-36)/15. Calculate the remainder when r/7*(-70)/4 is divided by s.
4
Suppose -3*n = -40*x - 23, 24 = 5*n - 4*n + 3*x. Calculate the remainder when 63 is divided by n.
0
Suppose -10*v - 14*v + 106704 = 0. Suppose -v - 7698 = -48*g. What is the remainder when g is divided by 86?
81
Let m be 44*-3*(-1)/6. Let c = -13 + m. Suppose -c*d - 9 = -81. What is the remainder when d is divided by 6?
2
Let c(p) = 5*p + 9. Let n be c(-2). Calculate the remainder when 35/4 + n + (-1)/(-4) is divided by (-224)/(-28) - 6/1.
0
Let x = 251 + -246. Suppose 4*u + 2*b = -3*u + 187, 0 = 5*b + x. Let p = 117 - 43. What is the remainder when p is divided by u?
20
Suppose 2*b = -4*l + 176, -35*b = 4*l - 34*b - 174. What is the remainder when 164 is divided by l?
35
Suppose -a - 4*g + 111 = -218, -3*g = -5*a + 1737. What is the remainder when 362 is divided by a?
17
Let t(p) = 51*p**2 + 196*p - 22. What is the remainder when t(4) is divided by 394?
2
Suppose 146 = -5*i + 2*f + 789, 4*f = 3*i - 383. Suppose -6*k + 110 = -k. Calculate the remainder when i is divided by k.
19
Let f = -3079 + 3687. What is the remainder when f is divided by 74?
16
Let u(x) = -x**3 - 4*x**2 - 14*x + 12. What is the remainder when 752 is divided by u(0)?
8
Suppose 5*q = 10, q + 81 + 77 = -4*v. Let b = -7927 + 7972. Calculate the remainder when b is divided by v/(-15)*(5 + 1).
13
Suppose 3*u + 55*w = 54*w + 78, u - 2*w = 19. What is the remainder when 180 is divided by u?
5
Let r be (-70)/4*(4/10 - 2). Suppose -4*k - 6*y = -2*y - 8, r = 5*k - 4*y. Calculate the remainder when 4/(-1) + k + 6 is divided by 2.
0
Suppose 2*u + 5*r - 3449 = 0, 2*u - 2*r - 3407 = -r. Calculate the remainder when u is divided by 7.
6
Let y be ((-725)/(-5))/(-3 + 30/9). Suppose 0*p = 5*p - y. Suppose -i - 2*i - 3 = -k, 0 = 4*k + i - 77. Calculate the remainder when p is divided by k.
15
Let j = 1413 - 1362. What is the remainder when 106 is divided by j?
4
Suppose -15*j - 4 = -16*j, t = 4*j - 25. Let p be (-352)/6 + (-6)/t. Let o = p - -84. What is the remainder when 72 is divided by o?
20
Suppose -3*y = -4*y. Let x(b) = -4*b**3 + b**2 - 20. Let s(p) = -p**3 + p**2 - 1. Let u(i) = 3*s(i) - x(i). What is the remainder when 64 is divided by u(y)?
13
Let x(f) = -29*f - 16. Let n = 44 - 44. Suppose n = -6*h + 8*h - 44. Calculate the remainder when x(-5) is divided by h.
19
Let i(j) = -j**3 - 13*j**2 - 16 - j + 69 - 17 - 24. Let x = -26 - -13. Calculate the remainder when i(x) is divided by 14.
11
Suppose -7*b - 5 = 9. Calculate the remainder when (-17)/(51/18) + 97 is divided by 1095/35 + b/7.
29
Suppose 5*w - 17 = -2*i, 3*i + 4 = -2*w + 13. Suppose 110 + 29 = x + w*m, x - 3*m - 115 = 0. What is the remainder when x is divided by 22?
17
Suppose -5*x = r - 446, -16*r + 12*r = -4*x - 1856. What is the remainder when r is divided by 15?
11
Let f = 2314 - 705. What is the remainder when f is divided by 108?
97
Suppose -39*b - 1289 = -4*j - 36*b, -5*j + 1610 = -4*b. Calculate the remainder when j is divided by 18.
2
Let t = 2711 - 2111. Calculate the remainder when t is divided by 154.
138
Calculate the remainder when 532 is divided by (786/9)/(11*(-14)/(-462)).
8
Let a(r) = -21*r + 1453. Calculate the remainder when 1787 is divided by a(68).
12
Suppose 0 = -2386*v + 2376*v + 2880. What is the remainder when 589 is divided by v?
13
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