1. Suppose -w - 4*c = 0, i*w - c = 4*c + 39. Calculate the remainder when (-8)/(-12) - 103/(-3) is divided by w.
11
Let z be 1125/6*(-4)/(-5). What is the remainder when 77 is divided by (-8)/(-5)*z/12?
17
Suppose 0*r + 124 = 4*r. Calculate the remainder when r is divided by 11.
9
Suppose 6*a + a = 133. What is the remainder when 34 is divided by a?
15
Let m = 2 + 1. Let p = 5 - m. Calculate the remainder when 3/(p + (-274)/140) is divided by 24.
22
Let v = 190 + -75. What is the remainder when v is divided by 29?
28
Let t = 6 + -3. Suppose -10 = -k + 2*c - t*c, -5*c = 10. What is the remainder when 34 is divided by k?
10
Let a = -33 - -58. Calculate the remainder when a is divided by -1*1 + 15 + -7.
4
Suppose 0 = 4*w + 12, -3*w + 4*w + 41 = -2*b. Let c = b + 24. What is the remainder when 13 is divided by c?
3
Suppose 15 = -m - 3*x + 58, x = -m + 39. What is the remainder when m is divided by 13?
11
Let m = -27 - -133. What is the remainder when m is divided by 9?
7
Let d = -89 - -163. What is the remainder when d is divided by 19?
17
Suppose -3*u - 18 = -0*t - t, -3*u = 5*t - 18. Let j = t + -16. Let o = 19 + j. What is the remainder when 25 is divided by o?
7
What is the remainder when 8/(-20) - (-112)/5 is divided by (4 - 7) + (14 - (-3 - -2))?
10
Let x(c) = 6*c**2 - c + 1. Let l(q) = 73*q + 1. Let k be l(2). Let y = k - 79. Calculate the remainder when y is divided by x(2).
22
Calculate the remainder when 55 is divided by ((-42)/(-1))/(-6)*-1.
6
Let w = -183 + 82. Suppose 2*l + 578 = 4*m, -86 + 243 = m - 3*l. Let v = m + w. What is the remainder when v is divided by 11?
8
Suppose -2*i + 4 = 2. Calculate the remainder when (-392)/(-12) + (-1)/(-3) is divided by i/(-1 + (-18)/(-17)).
16
Let g(q) = 19*q**3 - 2*q + 3. Calculate the remainder when g(1) is divided by 2.
0
Let h = 6 - 4. Suppose 0 = -h*q + q + 8. What is the remainder when q is divided by 5?
3
Let w(u) = -14*u + 7. Suppose 3*r + 34 = 2*n, 0*r - 5*r = 5*n - 85. Calculate the remainder when w(-3) is divided by n.
15
Let h = -76 - -106. What is the remainder when h is divided by 11?
8
Let i(u) = u**2 - 6*u - 1. Let g = -10 + 21. What is the remainder when g is divided by i(7)?
5
Suppose -3*p - 2 - 1 = 3*q, -q = 3. Suppose 3*j + 4*a - 53 = 0, p*a + 6 = 2*j - 34. Calculate the remainder when j is divided by (20 + 0)*2/4.
9
Suppose -689 - 475 = -12*z. What is the remainder when z is divided by 50?
47
Let d be (-1)/2 - (-34)/4. Suppose 5*z - d = 22. What is the remainder when z is divided by 2?
0
Suppose -2*b - 2 = 10. Calculate the remainder when 2 is divided by b/4*4/(-6).
0
Let d = 5 - 12. Let a = -4 - d. What is the remainder when 3 is divided by a?
0
Suppose 0 = -j - j + 60. Suppose -4*b + j = 6. Suppose -5*p + 73 - 18 = 0. What is the remainder when p is divided by b?
5
Let z = -198 - -301. Calculate the remainder when z is divided by 8.
7
Calculate the remainder when -1*(-15)/(-5) - -41 is divided by 13.
12
Let v(b) = -7*b - 2. Let t be v(-2). Let p = t + -7. Suppose 5*w = 2*g - 1, -6*g + 2*g + 2*w = -42. Calculate the remainder when g is divided by p.
3
Let c = 96 - 34. What is the remainder when c is divided by 16?
14
Suppose 12*l - 17*l = -50. Calculate the remainder when l is divided by 3.
1
Let y(j) = 5*j - 10. What is the remainder when 97 is divided by y(6)?
17
Let s = 139 - 121. Suppose 5*n - 39 = -r, 2*r = 4*r - 8. What is the remainder when s is divided by n?
4
Let z(o) = 2*o + 17. Calculate the remainder when 11 is divided by z(-7).
2
What is the remainder when 4 + (0 - (-103 + -4)) is divided by 38?
35
Let h be 2/(-9) + 6/27. Let s(u) = u**2 + 4. Let r be s(h). Suppose r*z = -w + 38, -6*w + 4*w + 82 = 2*z. What is the remainder when w is divided by 22?
20
Suppose 70 = -2*j + 7*j. Suppose -18*v - 2 = -74. What is the remainder when j is divided by v?
2
Let p = -69 - -99. Calculate the remainder when p is divided by 16.
14
Let n(z) = -z - 1. Let o be -2*1*10/(-4). Suppose 24 = -2*l + o*l. Calculate the remainder when l is divided by n(-6).
3
Suppose 0 = -2*i + i - 2. Let j be (-3 + 1/i)*4. Calculate the remainder when 2*1*j/(-4) is divided by 3.
1
Let s be ((-4)/2)/((-4)/6). Let q = s - 1. Suppose 111 = -q*k + 5*k. What is the remainder when k is divided by 19?
18
Let n be 0 + 0 + (-1 - -1). Suppose n*c = c - 12. Let p(v) = -v**3 - 3*v**2 + 9*v + 17. Calculate the remainder when p(-5) is divided by c.
10
Let u be (3 + 57/3)/2. Calculate the remainder when 229/u + 2/11 is divided by 6.
3
Let k(t) = -2*t**2 - 47*t - 1. Calculate the remainder when 57 is divided by k(-23).
13
Let i(w) = w**2 + 3*w - 14. What is the remainder when i(-7) is divided by 3?
2
Let p be (-1 + -3)/((-5)/35). Suppose -3*o + p = o. Calculate the remainder when o is divided by 2.
1
Let s(b) = -2*b. Let w be s(-5). Suppose -21 = -w*f + 7*f. Calculate the remainder when 19 is divided by f.
5
Let d = 19 + -2. Calculate the remainder when 2/(-10) - (-312)/10 is divided by d.
14
Let m = -7 + 20. Calculate the remainder when 36 is divided by m.
10
Let a be (-3 - -3)*(-2)/(-6). Suppose a = 2*p + 3*o - 41 + 9, -p - 5*o + 30 = 0. What is the remainder when 19 is divided by p?
9
Suppose l - 4*m = -1, -l + 8*m = 5*m - 1. Let v = 12 - l. Suppose -u + 22 = v*c - 4, -2 = -2*u. What is the remainder when 8 is divided by c?
3
Let c = 6 - 6. Suppose -5*f + 5*l + 120 = c, 7*f + 3*l - 80 = 2*f. What is the remainder when f is divided by 10?
9
Suppose 3*c - 3*g - 16 = -2*c, 0 = -g - 2. Calculate the remainder when (3/c)/((-6)/(-28)) is divided by 4.
3
What is the remainder when (-2)/(-1)*(-5 - -27) is divided by 12?
8
Let v be 4/22 - (-294)/77. Let g be (-2)/v + (-66)/(-12). Suppose 0 = -5*h + g*i + 125, -5*h - i + 4*i + 127 = 0. What is the remainder when 76 is divided by h?
24
Suppose 0*d = 3*d - 42. What is the remainder when d is divided by 4?
2
Suppose -i - 2*i - 5 = -m, -2*m = -5*i - 10. Calculate the remainder when 5 is divided by m.
0
Suppose 5*c = 2*w - 121, -5*w = -3*c - 6 - 306. What is the remainder when w is divided by ((-8)/10)/((-6)/165)?
19
Let u = -25 - -43. Suppose -u = -0*g - 2*g. What is the remainder when 16 is divided by g?
7
Let f = 0 + 0. Let d(z) = 3*z**2 - 12*z. Let x be d(5). Suppose 3*j = 4*a + x + 1, a + 1 = f. Calculate the remainder when 11 is divided by j.
3
Let c(h) = 2*h**2 - h + 1. Calculate the remainder when 5 is divided by c(1).
1
Suppose -4*p = 2*u - 4*u - 28, 0 = -4*u + 8. Let b(y) = 16*y - 1. What is the remainder when b(2) is divided by p?
7
Suppose 3*b = 5 + 10. Suppose 4*k - 2*k + b*z = 25, -41 = -4*k - z. Calculate the remainder when 29 is divided by k.
9
Let p = -12 + 42. Let j = p - 15. Suppose 0 = 4*i + j - 63. What is the remainder when 35 is divided by i?
11
Suppose 8 = -4*l, 2*l = 5*w + 7*l - 60. Calculate the remainder when 26 is divided by w.
12
Let g = 33 + -10. Calculate the remainder when 67 is divided by g.
21
Let k(r) = -14*r. Suppose 4 = 2*g - 2*s, -3*g = -0*s + s - 6. Suppose 0 = g*y + 2*y + 4. What is the remainder when 41 is divided by k(y)?
13
Let t be 6*(5/(-6))/(-5). What is the remainder when 30 is divided by t/(-2) - 33/(-2)?
14
Suppose 6*h - 26 - 52 = 0. Suppose 2*q = 13 - 5. What is the remainder when h is divided by q*(3/(-12) - -2)?
6
Let u be 2/3 - 16/6. What is the remainder when 10 is divided by 8 + u + 3 + -3?
4
Let s(q) = -q**3 + 3. Let z be s(0). Suppose 0*w = -5*w + z*y - 15, w + 3 = 4*y. What is the remainder when 37 is divided by 52/6*w/(-2)?
11
Let m = -96 + 221. What is the remainder when m is divided by 42?
41
Suppose 5 + 0 = z. Suppose 0 = -4*b + 29 - z. Calculate the remainder when (-32)/(-3) + b/(-9) is divided by 6.
4
Suppose -3*x - 2*i - 10 = 3*i, 0 = 2*x - 5*i - 10. Calculate the remainder when 17 is divided by 1 + 4 + (1 - x).
5
Let d(h) = h**3 - 3*h**2 + 2*h - 2. Let y be d(3). Let n(x) = -x**3 + 4*x**2 + 2*x + 4. What is the remainder when 35 is divided by n(y)?
11
Suppose 3*a - 4*a = 4*x + 1, 5 = -5*x. What is the remainder when a is divided by 1?
0
Suppose -3 = -v - 5*n + 19, 2*v - n = 0. Calculate the remainder when 9 is divided by v.
1
Suppose -3*x + 7*x = 16. Suppose 12*d + 10 = 17*d. Calculate the remainder when x is divided by d.
0
Suppose 0 = 4*k + 4 - 208. Calculate the remainder when k is divided by 16.
3
Let k be