e 0 = m + m - 84. Let s = m - 28. Suppose -r + s = -0*r. Calculate the remainder when r is divided by 8.
6
Suppose 16*v = 14*v + 200. Calculate the remainder when v is divided by 34.
32
Let o(k) = 5*k**2 - 5*k + 3. Calculate the remainder when o(-4) is divided by 21.
19
Let o = -10 + 9. Let y be (-3)/(5 - 2) - o. Suppose 0 = -5*p, -4*h - 2*p - 43 + 111 = y. Calculate the remainder when h is divided by 6.
5
Suppose -2*j + 18 = 2*m, -7 = -5*j + 8. Calculate the remainder when 7 is divided by m.
1
Let a(k) = 2*k + 6. Let g be a(-9). Let h = -5 - g. Calculate the remainder when 26 is divided by h.
5
Suppose -3*k - 2*y = 44, 5*k + 68 = -y - y. Let g = 16 + k. What is the remainder when 5 is divided by g?
1
Suppose -f = 3*f + 188. Let t = f + 78. What is the remainder when t is divided by 16?
15
Let i(y) = y**2 + 5*y - 3. Let x be i(-6). Suppose -p + 13 = 2*m - 4*m, -3*m - 45 = -x*p. Calculate the remainder when 30 + 0 + (2 - 0) is divided by p.
15
Suppose -2*n = -5*n + 33. What is the remainder when 75 is divided by n?
9
Let n = 60 - 32. What is the remainder when 82 is divided by n?
26
Let r(d) = d**2 - d + 65. Let k be (-4)/6 - 2/(-3). Calculate the remainder when r(k) is divided by 2/4 + (-132)/(-8).
14
Suppose 3*m = -v + 4, -3 = 3*m + m + 3*v. Suppose m*o = 6*x - 2*x + 41, 22 = o - 3*x. What is the remainder when 13 is divided by o?
6
Suppose 0 = 11*x - 6*x - 160. What is the remainder when x is divided by 18?
14
Suppose 0 = 4*u - 28 - 60. Calculate the remainder when 65 is divided by u.
21
Suppose 16 = 2*z + 2*z. Suppose 2*b - 22 = -z*w, -5*w = -2*w + 3. What is the remainder when 51 is divided by b?
12
Let u(v) = 2*v + 6. Let x be u(-4). Let p(r) = -r**3 - 4*r**2 - r + 4. What is the remainder when p(-5) is divided by x - 2*-1 - -12?
10
Let l = 376 - 265. Calculate the remainder when l is divided by 23.
19
Let p(t) = -t**3 + 6*t**2 + t. Let z be p(6). Suppose -z*q + 68 = -2*q. Calculate the remainder when q is divided by (-10)/(-2) - (-3 + 2).
5
Calculate the remainder when 1 - 4 - -8*13 is divided by 34.
33
Suppose 0 = -6*w + w + 20. Suppose -w*b = -9*b + 145. Suppose -j = 2*j - 30. What is the remainder when b is divided by j?
9
Let f(n) be the third derivative of -n**6/120 + n**5/15 + n**3/6 + n**2. Calculate the remainder when 19 is divided by f(3).
9
Suppose 4*f = -f - 2*c + 34, 5*c = 2*f - 2. Let t(p) = -p**2 - 5*p - 3. Let r be t(-3). Suppose -f = r*a - 63. What is the remainder when a is divided by 7?
5
Let n be (-5)/(-20) + 35/4. Suppose 2*o - j + n = 0, 2*o + 2*j + 24 = 6*j. Calculate the remainder when 19 is divided by (30/3*-1)/o.
4
Let s(v) = 2*v**2 - 6*v + 5. What is the remainder when 54 is divided by s(5)?
4
Let o(u) = u**3 + 11*u**2 - 16*u + 7. What is the remainder when o(-12) is divided by 14?
13
Let w(t) = t**2 + 2*t - 3. Let a(n) = -n + 2. Let m be a(-2). Suppose 0 = 4*v - d + 15, 0*d - 30 = m*v + 2*d. What is the remainder when 34 is divided by w(v)?
10
Suppose 5*a - 2*x = 265, 5*a - 148 = 2*a - x. Calculate the remainder when a is divided by 13.
12
Suppose -4*m + 168 = 4*h, -4*h + 0*m + 180 = m. Calculate the remainder when h is divided by 12.
10
Let f(t) = -t**2 - 8*t - 7. Suppose 4*n = 2*d + 4, -8 + 2 = 3*n. What is the remainder when f(d) is divided by 3?
2
Let g be (-12)/21 - 15/35. Calculate the remainder when 13 is divided by (1/(-1))/(g/5).
3
Suppose 2*k = 0, 0 = -5*r + r - 5*k. Suppose -g = -r*g - 7. Calculate the remainder when g is divided by 2.
1
Let l(b) = 1. Let w(g) = 3*g + 1. Let p(k) = -4*l(k) - w(k). Calculate the remainder when 37 is divided by p(-6).
11
Let g = 6 + -15. Suppose -2*u + 19 + 15 = 0. Let i = u + g. Calculate the remainder when 23 is divided by i.
7
Let r = 5 - 8. Let p(n) = 11*n**3 + n. Calculate the remainder when 4/(-6) - 68/r is divided by p(1).
10
Suppose y = 3*o - 8, 3*o - 6*o + 15 = 0. Let q = 3 - 0. Suppose -q*k + 11 + y = 0. Calculate the remainder when 17 is divided by k.
5
Suppose 2*y - 6 = -0*y. Let k(v) = -4 + 8*v**2 - 2*v - v**3 + y*v**2 - 20*v**2. Calculate the remainder when 27 is divided by k(-9).
13
Suppose -68 = -3*j - j - l, 2*l - 64 = -4*j. What is the remainder when j is divided by 7?
4
Let k be ((-60)/(5 + -3))/(-2). Suppose -8 = -3*v + 7*v. Let g = k + v. What is the remainder when 49 is divided by g?
10
Let h be (-6)/14 + 118/14. Suppose -7*m - 71 = -h*m. Calculate the remainder when m is divided by 18.
17
Suppose 0 = -2*q + 22 + 34. Calculate the remainder when q is divided by 16.
12
Let j be 4/(4*3/12). Suppose 3 = -4*u + 75. Suppose 0 = -a - 2*i + u, j*i - 3*i - 20 = -a. What is the remainder when a is divided by 12?
10
Suppose -5*u - 5*p + 142 = -13, -3*p + 123 = 4*u. Calculate the remainder when 115 is divided by u.
25
Suppose 0 = 4*n + n + 2*v + 40, -40 = 5*n + 5*v. Calculate the remainder when 16 is divided by (18/n)/((-2)/8).
7
Let p = -9 - -13. Suppose 0 = -p*r + h + 41, -h + 3*h + 2 = 0. Calculate the remainder when 17 is divided by r.
7
Suppose -4*u = -5*d - 57, -2*d = 2*u + 13 - 55. What is the remainder when u is divided by 12?
6
Let c = 130 - 55. Suppose -c = -4*y + y. What is the remainder when y is divided by 14?
11
Let a = 33 + -23. Let n(w) = w**2 - 9*w - 6. Calculate the remainder when 15 is divided by n(a).
3
Suppose -44 = -3*n - n. Suppose -80 + n = -3*l. What is the remainder when 43 is divided by l?
20
Let g = -9 - -22. What is the remainder when 34 is divided by g?
8
Let b(l) = l**3 - 10*l**2 + 12*l. Calculate the remainder when b(9) is divided by ((-2)/(-3))/(4/42).
6
Let s = 15 - 2. Suppose 4*q + 0*q + 1632 = 0. Calculate the remainder when ((-3)/2)/(12/q) is divided by s.
12
Let w = 3 - 7. Let c(h) = -4*h + 1. Calculate the remainder when (-188)/(-6) - (-16)/24 is divided by c(w).
15
Let a be 20*((-1 - 1) + 1). Let q = -11 - a. Let m = 1 + q. What is the remainder when m is divided by 4?
2
Let d be (-3)/(-9)*21 + 3. Suppose c - 2*c = -d. What is the remainder when 28 is divided by c?
8
Let n = -59 + 74. Calculate the remainder when n is divided by 8.
7
What is the remainder when 836/11 - (-1 + 5) is divided by 25?
22
Suppose 0 = -l - 3 + 20. What is the remainder when l is divided by 6?
5
Let f(x) = x**3 + 8*x**2 + 10*x + 4. What is the remainder when 43 is divided by f(-6)?
11
Suppose -4*z - 5*b + 0*b = -78, z = 2*b + 26. Let c be ((-4)/12)/((-2)/12). Let p = 10 - c. Calculate the remainder when z is divided by p.
6
Let x = 0 + 22. What is the remainder when 43 is divided by x?
21
Suppose j = -1 + 5, -j + 34 = 5*h. Calculate the remainder when h is divided by (1*-4*1)/(-2).
0
What is the remainder when 48/(-6)*(-5)/2 is divided by 6/(-4)*(-44)/6?
9
Let z be (-474)/(-8) - 6/24. Suppose -5*t + z = -46. Calculate the remainder when 41 is divided by t.
20
Let v(j) = -2*j**2 - 15*j - 1. What is the remainder when 32 is divided by v(-6)?
15
Suppose 0*y + 4 = -2*y, 5*k - 5 = -5*y. Suppose 5*x = k*d - 109, 0 = -4*x + 4 - 0. Let g = 15 + -2. Calculate the remainder when d is divided by g.
12
Let b(c) = 2*c - 9. What is the remainder when b(11) is divided by 10?
3
Suppose 5*x + 3*l - l = 93, 55 = 3*x + l. Let r(s) = s**3 + 8*s**2 - 11*s + 12. Let q be r(-9). Let o = q - 21. Calculate the remainder when x is divided by o.
8
Let l = 20 + -9. Calculate the remainder when 31 is divided by l.
9
Let g(n) = 8*n**2. Let y be g(-1). What is the remainder when 41 is divided by (11/(-4))/((-2)/y)?
8
Let s = -97 + 160. What is the remainder when s is divided by 22?
19
Suppose 0*x = 5*x + 100. Let a = x + 39. Let f = -26 - -36. Calculate the remainder when a is divided by f.
9
Suppose -95 = -11*g + 136. What is the remainder when 81 is divided by g?
18
Suppose 10 = h - 2*s, 0*h + 15 = -h - 3*s. Suppose h = -4*i + 2*i + 8. Suppose 5*v = 3*a + 2*a, -i*a + 5*v = 4. Calculate the remainder when a is divided by 3.
1
Let d(b) = 6*b + 2. Suppose 0*f - 25 = 5*f. Let m(v) = 7*v + 2. Let k(s) = f*m(s) + 6*d(s). What is the remainder when 19 is divided by k(3)?
4
Let r = 11 + -1. Suppose -r = -4*x - z, 4*z + 6 = 4*x + 3*z. What is the remainder when (-3 - -4)*(-3 - -5) is divided by x?
0
Let l be (4/5)/((-3)/(-375)). Calculate the remainder when 4 is divided by (-4)/(-18) - l/(-36).
1
Suppose 39 = -3*x + 3*f - 39, -5*f = -10. Let k = 49 + x. What is the remainder w