*f - 1 - 3. Calculate the remainder when l is divided by 3.
2
Let r be 58/5 - (-2)/5. What is the remainder when 1 - 4/(r/(-21)) is divided by 3?
2
Let l = -37 - -64. Suppose -3*a = -l - 9. What is the remainder when 47 is divided by a?
11
Suppose 1 - 5 = -2*l. Suppose 5 = -2*g - q + 18, l*g - 5*q = 43. What is the remainder when 1*-2*-1 - -23 is divided by g?
7
Suppose 3*g = 64 + 44. Suppose p - g = -3*p. What is the remainder when 16 is divided by p?
7
Let l be (1 - (-3 + 10)) + 2. Let b be 1 - 9/(-1 - l). Calculate the remainder when 38 is divided by (-26)/2*b/2.
12
Let s be 9 + 3/(2 - -1). Suppose 41 = 3*z - s. Let q = -9 + 58. Calculate the remainder when q is divided by z.
15
Suppose -3*r + 12 = 4*c - 17, -3*r + 9 = 0. Suppose -i + 3*i = 38. Calculate the remainder when i is divided by c.
4
Let s(u) = -3*u - 5. Let k be (-32)/(-6) + 7/(-21). Suppose -37 = k*x - 6*x. What is the remainder when x is divided by s(-6)?
11
Let a = -11 + 8. What is the remainder when (4/a)/(8/(-12)) is divided by 2?
0
Let a(n) = -n - 3. Let w(g) = 2. Let m(t) = 3*a(t) + 4*w(t). Calculate the remainder when m(-9) is divided by (-4)/4 + 20/2.
8
Suppose t + 2*b - 4 = -0*b, 0 = -b + 2. Suppose -4*c + 136 = -t*c. Suppose 5*j = -1 + 61. What is the remainder when c is divided by j?
10
Let g = 112 + -86. What is the remainder when g is divided by 10?
6
Suppose 8 = 2*z - 6. Let t(w) = w**3 - 7*w**2 - 9*w + 11. Let a be 2/9 + (-140)/(-18). Calculate the remainder when z is divided by t(a).
1
Let f = -6 - -7. Calculate the remainder when -1*(-20 - -1)/f is divided by 10.
9
What is the remainder when 51/(-9)*(0 + -3) is divided by 9?
8
Suppose p + 5*a - 2 = -23, 0 = a + 5. Calculate the remainder when 35 is divided by 16/3*9/p.
11
Let p(x) = -10*x - 48. Calculate the remainder when p(-12) is divided by 20.
12
Suppose 4*u + p = 3*p + 36, -3*p = -12. Let y be 6/(-10) - (-8)/(-20). Let o = u + y. Calculate the remainder when o is divided by 6.
4
Suppose 133 - 357 = -14*g. Calculate the remainder when 95 is divided by g.
15
Let r(d) = -2*d + 27. Let b(f) = -f**3 - 4*f**2 - f - 6. Let q be 18/(-4) - 2/4. Calculate the remainder when b(q) is divided by r(7).
11
Let p(i) = i**3 + 11*i**2 + 16*i - 11. What is the remainder when 1/2 + (-25)/(-2) is divided by p(-9)?
6
Suppose -332 = 6*w - 10*w. Calculate the remainder when w is divided by 12.
11
Let v(r) = -6*r + 6. Let q(f) = f + 1. Let c(y) = 5*q(y) - v(y). What is the remainder when 39 is divided by c(2)?
18
Suppose 2*w - 5 = -3*w, 0 = c + 3*w - 6. Suppose 4*l - 34 = c*l. Suppose -2*i + 16 + 11 = v, i = 4*v. Calculate the remainder when l is divided by i.
10
Let i(b) = b + 8. Calculate the remainder when 67 is divided by i(6).
11
Let w(a) = 13*a**2 - 2*a - 2. Let k be w(-2). Let v = k - 8. What is the remainder when v is divided by 16?
14
Let h = -86 - -59. Let q = 84 + h. What is the remainder when q is divided by 20?
17
Let l(u) = u**2 - 9*u + 26. Calculate the remainder when 13 is divided by l(6).
5
Let o(w) = w**2 + w + 4. Let f be o(0). Suppose 7*h + 18 = f*h. What is the remainder when 3 is divided by (-4)/(3/(9/h))?
1
Suppose 1 = -3*s + 16. Suppose -s*g = -3*g - 46. What is the remainder when 44 is divided by g?
21
Suppose -6*i - 3 = -3*u - i, 0 = -3*i. Let x(v) = -10*v - 161. Calculate the remainder when x(-19) is divided by 2/(((-2)/(-10))/u).
9
Suppose 0 = -3*q + 71 - 17. Let u(c) = 5*c + 1. Let f(z) = 2*z. Let p(k) = -9*f(k) + 4*u(k). Calculate the remainder when q is divided by p(3).
8
Let l = 33 + -15. What is the remainder when 34 is divided by l?
16
Suppose 184 = j - 2*k, 0 = 4*k + 3 + 5. Suppose 16*v = 21*v - j. What is the remainder when v is divided by (26/4)/((-1)/(-2))?
10
Suppose 13 = 3*b - 32. Calculate the remainder when 47 is divided by b/5 - 26/(-2).
15
Let k be (-1)/(-3 + (-14)/(-5)). Suppose -s + 15 = -3*t, 2*t + k = 7*t. Calculate the remainder when s is divided by 10.
8
Let w(o) = o**2 - 2. Suppose -5*i + 0*i + 15 = 0. What is the remainder when 2/(-1) + i + 40 is divided by w(4)?
13
Let t(n) = 18*n + 5. Let q be t(4). Suppose -457 - q = -3*h. Suppose -4*p = 2*r - h, p - r = -4*p + 233. Calculate the remainder when p is divided by 16.
14
Let u(v) = -v**3 + 7*v**2 - 7*v + 5. Calculate the remainder when u(5) is divided by 8.
4
Suppose -3*j - 5*j + 240 = 0. What is the remainder when 82 is divided by j?
22
Suppose -s - c - 34 = -2*s, -5*s + 2*c = -179. Let b = 197 + -187. Calculate the remainder when s is divided by b.
7
Suppose 2 = -3*j + 4*j. Suppose 2*p + 32 = 4*n, n + 0*p = -4*p - 1. What is the remainder when n is divided by j?
1
Suppose -3*k = -2 - 28. Let i(t) = -1 - 1 + t**3 + 8 - 2. Calculate the remainder when k is divided by i(0).
2
Suppose -3*v - 44 = -4*l, 5*l + 0*v - 2*v = 48. Calculate the remainder when 7 is divided by (-2)/(-6)*(-2 + l).
1
Suppose 2*c = -2*c + 12, t - 36 = -3*c. What is the remainder when 51 is divided by t?
24
Let d(r) = -r**2 + 16*r + 4. What is the remainder when d(11) is divided by -1*12/20*-25?
14
Let t(l) = l**3 + 3*l**2 - 5*l. Suppose -2*i - 5 = 3. What is the remainder when t(i) is divided by 3?
1
Let m(h) = 0*h - 21 - h + 2*h. Let f be m(0). Calculate the remainder when 26 is divided by (-2)/((-6)/f)*-2.
12
Suppose 3*x - 63 = -3*z, z - 2*x = -z + 26. Let g be (-6)/9 - 14/(-3). Let y = 36 - g. Calculate the remainder when y is divided by z.
15
Let x(k) = -k**3 + 7*k**2 - 7*k + 5. Let a be x(6). Let o be (1/a)/((-2)/6). Suppose -110 = -o*f - 2*f. What is the remainder when f is divided by 12?
10
Let v(i) = i**3 + 7*i**2 + 6*i - 1. Suppose -2 = -a - 7. What is the remainder when 36 is divided by v(a)?
17
Suppose -x = -4*b + 3, 0*x = -2*x - 4*b - 42. Let z = -7 - x. What is the remainder when 29 is divided by z?
5
Let y(z) = -5*z - 4. Let d be y(4). Let a be 1102/8 + (-6)/d. Suppose -5*t + 23 = f, 0 = -2*f + 7*f + 2*t - a. What is the remainder when f is divided by 15?
13
Let g = 14 + -11. Suppose 3*k - k - 10 = 0. What is the remainder when k is divided by g?
2
Suppose 4*k = -0*w - w, w - 5*k = 36. What is the remainder when w is divided by 3?
1
Let i(y) = 3*y + 3 - 4 + 3. Calculate the remainder when 57 is divided by i(6).
17
Let r(y) = -y - 1. Let i be r(-5). Suppose -j + i = j. Suppose 0 = -3*q + 3*d + 39, 2*q - j*d = -3*q + 62. What is the remainder when 34 is divided by q?
10
Let g = -33 - -63. Calculate the remainder when g is divided by 16.
14
Let j = -59 - -121. Suppose -39 = -2*r - 3*h, h = -2*h - 3. Calculate the remainder when j is divided by r.
20
Let l(g) = -g**3 + 12*g**2 + 15*g + 18. What is the remainder when 85 is divided by l(13)?
41
Let m = 79 - 118. Let d(i) = i**3 - 18. Let t be d(0). Let l = t - m. Calculate the remainder when 40 is divided by l.
19
Let w be 4/(-6) - 14/(-3). Suppose 5*z + 108 = w*f + z, -5*f + 3*z + 131 = 0. Let i(s) = 13*s**2 + 2*s + 2. What is the remainder when f is divided by i(-1)?
12
Let r be 1/4 - 3/(-4). Let f(t) = 5*t + 1. Calculate the remainder when f(r) is divided by 4.
2
Suppose 13 + 5 = 3*o. Let t(k) = k**3 - 4*k**2 + 3*k + 3. Calculate the remainder when o is divided by t(3).
0
Suppose 4*k - 9 = k. What is the remainder when 7 is divided by k?
1
Suppose 2*a - 3*a + 5*q + 7 = 0, -4 = -4*q. What is the remainder when 46 is divided by a?
10
Let a(p) = p**2 + 8*p - 6. Let g be a(-9). Suppose -2*y + 205 = g*y. Calculate the remainder when y is divided by 11.
8
Let i(w) = -w + 24. Calculate the remainder when 33 is divided by i(15).
6
Let o(f) = f**2 + 4*f - 11. Calculate the remainder when o(-8) is divided by 11.
10
Let a = -4 - -16. Suppose -2*n - 8 = -3*u, 2*n + 0*u = -2*u + a. What is the remainder when n is divided by 1?
0
Let w(h) = -h**3 - 14*h**2 - 17*h - 10. Suppose -10*l = -6*l. Suppose d = -4*k + 34, l = 2*k - 3*k + 3. Calculate the remainder when w(-13) is divided by d.
20
Let l(s) = s + 62. Let a be l(0). Suppose 0 = -2*r - h - 1, 4*r - 5*h = 2*r + 5. Suppose r = c + c - a. What is the remainder when c is divided by 11?
9
Let r(d) = 3*d - 8. Let i(u) = 4*u**3 - 2*u + 1. What is the remainder when i(2) is divided by r(6)?
9
Let o(s) = 4*s - 12*s + 2 + 7 + s**2. What is the remainder when 34 is divided by o(8)?
7
Let l = 65 + -29. Suppose 5*s + 30 = h, -h + 0*h - 2*s = -2. Let f = h - -9. What is 