Let x be (0/(-4))/((-4)/(-1) - 3). Calculate the remainder when z(x) is divided by 14.
13
Suppose 0 = x + 2*c - 1, 2*x + 2*x + c = 11. Calculate the remainder when 19 is divided by x.
1
Let b be ((-1)/2)/(((-3)/3)/6). Suppose 5*l + 0*a - 609 = -3*a, -b*l = 4*a - 361. What is the remainder when l is divided by 25?
23
Suppose 18*a = 256 + 428. Suppose -5*l - 41 = -i - 3*i, 0 = -5*i - 5*l + 85. What is the remainder when a is divided by i?
10
Suppose -131*k + 6401 = -6437. Calculate the remainder when 3133 is divided by k.
95
Let l = 214 - 99. Calculate the remainder when l is divided by 11.
5
Let j(q) = -q**2 - 10*q + 4. Let i be j(-10). Suppose 0 = -3*u + i*u - 15. Calculate the remainder when u is divided by 9.
6
Let b(s) = -3*s + 7. Let r = -15 - -11. Calculate the remainder when 113 is divided by b(r).
18
Suppose 0 = -12*u - 45 + 501. What is the remainder when 227 is divided by u?
37
Let m = 138 - 203. Let x = m - -69. What is the remainder when 10 is divided by x?
2
Let j(p) = -2*p - 5. Let h(l) = l + 3. Let z(b) = 8*h(b) + 5*j(b). Let r = 5 + -9. What is the remainder when z(r) is divided by 4?
3
Let c(p) = -162*p + 1. Let w be c(-1). Suppose 8*u + 27 = w. What is the remainder when u is divided by 4?
1
Suppose -4*a + 14 = 2*q, 6 = -4*q + 3*a + 56. Calculate the remainder when ((-5)/(-3) + -1)*78 is divided by q.
8
Suppose 0 = 2*o + o - 57. Let v(x) = x**3 + 5*x**2 + 5. Let q be v(-5). Let i = q - 0. Calculate the remainder when o is divided by i.
4
Suppose -53*l + 48*l - x + 441 = 0, 3*l + x - 265 = 0. Calculate the remainder when 614 is divided by l.
86
Suppose -2*s = -68 - 82. Suppose 39 = 6*i - s. Calculate the remainder when 73 is divided by i.
16
Suppose -88*z + 204 = -84*z. What is the remainder when 110 is divided by z?
8
Let g = 133 + -127. Let a = -14 - -24. Calculate the remainder when a is divided by g.
4
Let a(t) = -3*t + 1 + 6*t + 0*t**2 + t**2. Let z(q) = -q**3 - 28*q**2 - 30*q - 26. What is the remainder when z(-27) is divided by a(-6)?
17
Suppose r + 3*f = 37 + 68, 4*r - 434 = 2*f. Calculate the remainder when r is divided by (5/(-50) - (-2979)/90) + 4.
34
Suppose q - 64 = -r - q, 0 = -r + 4*q + 58. Suppose -5*i + 118 + r = 0. Suppose l = 0, -2*h - 8 + i = -4*l. Calculate the remainder when h is divided by 4.
2
Suppose 18*u + 0*u - 180 = 0. Let w(q) = -q**3 + 5*q**2 - 3*q. Calculate the remainder when u is divided by w(4).
2
Let f(r) = r**2 + 11*r + 19. Calculate the remainder when f(-23) is divided by 50.
45
Suppose 32 = 3*x + 35. Calculate the remainder when 38 is divided by (-380)/(-16) + x/(-4).
14
Suppose 47 = -2*y + 4*i + 221, -3*i + 167 = 2*y. Let h(c) = c**3 + 9*c**2 + 3*c - 18. Let x be 16/10*-5*2/2. What is the remainder when y is divided by h(x)?
19
Let k(p) = -p**2 - 8*p + 3. Let a be 2/(-3) - 380/(-3). Suppose -z + 49 = 4*u, -3*u + a = 4*z - u. What is the remainder when z is divided by k(-6)?
14
Let l = 489 + -440. What is the remainder when l is divided by 22?
5
Suppose -5*n + 57 = -2*n. Let h(p) = p**3 - 7*p**2 + 4*p - 12. Let v be h(8). Let f = v - 74. What is the remainder when n is divided by f?
9
Let s(v) = 5*v - 6 + v**2 + 5 - 10. Suppose -30*w + 34*w = 3*t + 51, -5*w - 3*t + 30 = 0. What is the remainder when s(w) is divided by 29?
28
Suppose 2*r - 2*o = 30, r + o - 23 = -0*r. Let k = 21 - r. Suppose 0 = k*f - 133 - 109. What is the remainder when f is divided by 31?
28
Suppose 4*n + 70 = 2*i, 4*i - 60 = -2*n + 60. What is the remainder when 139 is divided by i?
15
Let l be (-3)/(-2)*4/(-6). Let i = 7 - l. Calculate the remainder when 31 is divided by i.
7
Let l be -5 + 0 + 4/2 + -2. What is the remainder when 9/3 + l + 0 - -43 is divided by 9?
5
Let g(m) = -m + 17. Suppose -2*j = -138 - 26. What is the remainder when j is divided by g(0)?
14
Suppose 2*s - 57 = -4*x + 117, 5*s - 505 = 4*x. Calculate the remainder when s is divided by 21.
13
Suppose z + 0 - 3 = 0. Let g be 2/(1/(-1 + 2)). Suppose -y - g*y + 32 = -r, -2*y + 5*r + 43 = 0. Calculate the remainder when y is divided by z.
0
Calculate the remainder when (444/(-10))/(312/(-780)) is divided by 27.
3
Let j = 752 + -724. What is the remainder when 51 is divided by j?
23
Suppose 111 = 4*c + 35. Let n be 6/((-2)/(-4) - 2). Let g = c + n. What is the remainder when g is divided by 9?
6
Let u(l) be the first derivative of 3*l**2/2 - 10*l + 19. What is the remainder when 137 is divided by u(10)?
17
Let o = 14 - 12. Suppose j + 3*x = 9, o*x = -j + 6*x + 16. Let m = 0 + j. What is the remainder when 21 is divided by m?
9
Let r = -10 + 38. Suppose -3*l - k = -26, -l - k = 1 - 7. Calculate the remainder when r is divided by l.
8
Let v = -92 - -130. Calculate the remainder when 75 is divided by v.
37
Let h = -4 + 6. Suppose -5*l - 85 = 3*c, 5*c + 69 = -l - 80. What is the remainder when 17 is divided by ((-12)/c)/(h/50)?
7
Let n = 76 + -43. What is the remainder when 118 is divided by n?
19
Let s be ((-9)/(-12))/(2 - 597/300). Let w = s - -26. What is the remainder when w is divided by 35?
31
Let s = 221 - 201. Calculate the remainder when 95 is divided by s.
15
Let v = 3 + 13. Let k(s) = s**3 + 12*s**2 + 15*s - 40. What is the remainder when v is divided by k(-10)?
6
Suppose 125 = 6*s - 37. Calculate the remainder when s is divided by (-10)/15 - (-23)/3.
6
Let d = -1902 + 1910. What is the remainder when d is divided by 3?
2
Let m(h) = 5*h**2 + h - 13. Let c(j) = j**2 - 1. Suppose 7*p = 2*p + 30. Let a(q) = p*c(q) - m(q). What is the remainder when a(7) is divided by 10?
9
Let s = 8 + 41. Calculate the remainder when 93 is divided by s.
44
Let b(c) = 347*c**2 + 12*c + 13. Calculate the remainder when b(-1) is divided by 27.
24
Let q(o) = -7*o - 32. Let w(b) = -b**3 - 12*b**2 + 15*b + 21. Let n be w(-13). Suppose 0 = -5*s - 8 + 28. What is the remainder when s is divided by q(n)?
1
Suppose 4*w = 2*w + 6. Suppose h - 34 = -w*h - 5*s, s = 2. Calculate the remainder when 33 is divided by h.
3
Let i(c) = 4*c**3 - 2*c**2 + 2*c - 1. Let w be i(1). Suppose -w*k = -4*k. Let s(f) = -f**3 - f**2 + 79. What is the remainder when s(k) is divided by 20?
19
Let i(w) = 85*w + 415. What is the remainder when i(-4) is divided by 11?
9
Let y(d) = 3*d - 16. Let h be y(10). Let v = h + 8. Calculate the remainder when v is divided by (7 - -3)*(-1)/(-2).
2
Let o = 1036 - 349. What is the remainder when o is divided by 16?
15
Let o(f) = f**2 + 188*f - 4945. Suppose 0*k - k = -4*x + 153, -3*k = -5*x + 200. Calculate the remainder when o(24) is divided by x.
32
Suppose -565*l - 165 = -566*l. What is the remainder when l is divided by 84?
81
Let d(c) = 3*c - 4. Let y be d(3). Suppose -30 = -4*j + y*k - 1, -k + 47 = 4*j. What is the remainder when 30 - (2 + -2*2) is divided by j?
10
Suppose -19*i + 18*i = -76. What is the remainder when 681 is divided by i?
73
Calculate the remainder when 150 is divided by (9/5)/(8/120).
15
Let x(q) = -4*q + 1. Let t be -5*3/((-12)/(-4)). What is the remainder when 62 is divided by x(t)?
20
Suppose -3*s + 3*o = -2616, -2*s + 3*o + 1736 = -o. What is the remainder when s is divided by 11?
7
Let t be (-1)/(2/84 + 3/(-18)). Suppose j + 4*j - 45 = -5*o, 0 = 4*o + 5*j - 39. Suppose -t*u + o*u = -3. Calculate the remainder when 6 is divided by u.
0
Let c(a) = 7 - 80*a + 81*a + 2. Let w be c(-8). Let i = w + 14. Calculate the remainder when i is divided by 4.
3
Let a(t) = 2*t**2 + 9*t - 20. Calculate the remainder when 41 is divided by a(-7).
11
Suppose -3*z = 3*a - 5*z, -3*z = 3*a. Suppose -j + a*j = 2*s - 12, -2*j + 5*s + 15 = 0. Calculate the remainder when 18 is divided by j.
8
Suppose -321 = -3*o + 2*z, 4*z = 18 - 6. Calculate the remainder when o is divided by 4.
1
Let z(s) = 3*s + 36. Let y be (3 + 3/(-1))/2. Let x be z(y). Suppose x - 4 = 4*h + 3*c, -h - c = -7. Calculate the remainder when h is divided by 4.
3
Suppose p + 3*r - 228 = 0, 3*p = 7*p + 5*r - 926. What is the remainder when p is divided by 40?
34
Let z = 35 + -40. Calculate the remainder when 2/z + (-208)/(-20) is divided by (-4)/((-4)/(-3))*-2.
4
Let c be 30/(-9)*(-18)/15. Suppose 0*a - 2*a = u - 4, c*a + 52 = 4*u. What is the remainder when 29 is divided by u?
9
Let s be 8/2*16/32. Let q(b) = -b + 5. Let c be q(s). Suppose -c*h - 4*x + 38 = 0, 3*x = -3*h - 2*x + 37. What is th