pose 0*l + 2*l = 4*g + 18, -5*l = 4*g - 45. What is the remainder when l is divided by k(9)?
1
Let w = 15 + -4. What is the remainder when 50 is divided by w?
6
Suppose -4*z + 20 + 0 = a, -a - 2*z = -12. Suppose a*k + 7 - 31 = 0. What is the remainder when 22 is divided by k?
4
Let g = -32 + 45. Let j(k) = -k**2 + 11*k + 13. What is the remainder when j(8) is divided by g?
11
Suppose -3*j - 2*h = -2, 0 = 4*j - 3*h + 4 - 18. Suppose -2*o = -8 - j. Let x(s) = -s**3 + 5*s**2 + 1. What is the remainder when x(o) is divided by 1?
0
Let u = 11 - 5. Suppose 90 = -l + u*l. Calculate the remainder when 34 is divided by l.
16
Let c(t) = -t + 114. Let h be c(0). Suppose 2*x - 6 = 0, 2*x + 1 = 4*i - 25. Calculate the remainder when 1/5 - h/(-5) is divided by i.
7
Let q be -1*(2 - 3) - 2. Let w be 3/((-2)/(-4) - q). Suppose -3*p - 4*n = -29, p + n = -w + 11. What is the remainder when p is divided by 4?
3
Let z = -7 + 11. Suppose 0 = z*d - 16 - 8. Let b = 19 + -15. Calculate the remainder when d is divided by b.
2
Calculate the remainder when 155 is divided by 4 + (48/7)/((-7)/(-49)).
51
Suppose -6*h + 5*s + 90 = -h, 2*h - 30 = 4*s. Calculate the remainder when h is divided by 12.
9
Let r(x) = -x + 7. Let z be r(5). Suppose -24 = -z*k + 2. Calculate the remainder when k is divided by 4/(-2) + (12 - 3).
6
Suppose -4*r + 322 = 5*v + 27, -5*v - 5*r = -300. Let m = -13 + 32. What is the remainder when v is divided by m?
17
Let q = 127 + -84. Let g(s) = -s**2 + 5*s + 10. Let p be g(8). Let u = p + 29. Calculate the remainder when q is divided by u.
13
Suppose g - 17 = 15. What is the remainder when g is divided by (-24 - (-4 - -2))/(-2)?
10
Suppose 185 = 5*q - 5*m, 3*m = 5*q - q - 143. Let f be -8*(3/(-1))/6. Suppose -3*c = 5*z - 46, f*c = 8 - 20. Calculate the remainder when q is divided by z.
10
Let t be (-78)/(-21) + 4/14. Suppose t*j + 1 = 5. What is the remainder when 2 is divided by j?
0
Suppose 8*b - 63 = b. Calculate the remainder when 32 is divided by b.
5
Let a = -18 - -26. Let v(m) = -m**3 - 8*m**2 - m - 7. Let o be v(-8). Calculate the remainder when a is divided by 0 - (o*-2 - 1).
2
Suppose 3 = -2*z + 17. Calculate the remainder when -5 + 4 - (-2 - 19) is divided by z.
6
Let n be 1/(-3) + 4/12. Suppose 69 = 4*s - 3*l - 110, n = 2*l + 10. Suppose 4*v = -v + 70. What is the remainder when s is divided by v?
13
Suppose 0*y - 14 = -2*y - 2*v, -5*v = y - 27. Suppose 0*h = -y*h + 68. Calculate the remainder when h is divided by 12.
10
Let x(w) = w**2 + w + 47. Suppose -4*h = -2*k - 2*h + 18, 4*k - 5*h = 33. What is the remainder when x(0) is divided by k?
11
Let g = -36 + 47. Calculate the remainder when 52 is divided by g.
8
Suppose -3*m - m + 2*j + 160 = 0, 4*m - 174 = -5*j. Calculate the remainder when m is divided by 11.
8
Suppose 0 = -l + 5*h + 36, -4*h + 2*h = l - 22. What is the remainder when l is divided by 15?
11
Let s(i) = -i**3 - i**2 + 2*i - 2. Let d be s(2). Let n = -1 - d. What is the remainder when 17 is divided by n?
8
Let h(t) = t - 8. Let m(l) = l - 1. Let d(z) = h(z) - 3*m(z). Let g be d(-6). Suppose -25 = 2*b - g*b. Calculate the remainder when b is divided by 2.
1
Suppose -u = -2*x - 6 + 2, 0 = 4*u + 4*x + 8. Suppose u = -2*d + 5*d - 36. What is the remainder when 45 is divided by d?
9
Let o(v) = 4*v - 16. What is the remainder when 278 is divided by o(11)?
26
Suppose a - 7 = 19. Let f = 26 + 24. Calculate the remainder when f is divided by a.
24
Calculate the remainder when (53 + -12)*3/(3/2) is divided by 12.
10
Let a(r) = -r + 15. Let x(i) = i**2 + i - 5. Let t be x(-4). Let b be a(t). Let o = b - 5. Calculate the remainder when 8 is divided by o.
2
Suppose -3*u = -5*v + 13, -3*u + 4 = -8. Let h(c) = -c**3 + 5*c**2 - c + 2. Calculate the remainder when h(4) is divided by v.
4
Suppose -5*m = -5*a - 110, 2*a + 82 = 4*m + a. Let v = m - 10. What is the remainder when 29 is divided by v?
9
Let d(j) = 44*j**3 + 2*j - 1. Let k be d(1). Let m = k + -22. What is the remainder when 91 is divided by m?
22
Let j = -36 - -68. What is the remainder when 76 is divided by (39/12)/(4/j)?
24
Suppose -13 = -13*x + 12*x. What is the remainder when 49 is divided by x?
10
Let y(f) = f**3 + 2*f**2 - 8*f - 2. Let x be y(-3). Let o(u) = -u**3 + 13*u**2 + u + 19. Calculate the remainder when o(x) is divided by 7.
4
Let c(o) = -2*o**3 - 6*o**2 - 3*o + 5. What is the remainder when c(-4) is divided by (-69 - -1)*(-2)/8?
15
Suppose -18 + 0 = 3*q - 3*w, 0 = w - 1. Let p = -2 - q. Suppose p*t - 20 = f, -2*t - 5*f - 1 = -3. Calculate the remainder when 10 is divided by t.
4
Calculate the remainder when 38 is divided by ((-12)/10)/((-4)/70).
17
Let o(v) = -10*v - 5. Calculate the remainder when o(-3) is divided by 13.
12
Let x(j) = -6*j**3 - 2*j**2 - 2*j. Let v(b) = b - 5. Let l be v(3). Suppose -2*t + 22 + 8 = 0. What is the remainder when x(l) is divided by t?
14
Suppose 54 = 3*l + 3*z, 5*z + 5 = 2*l - 24. Calculate the remainder when l is divided by 10.
7
Let b = -11 + 5. Let w(z) = z**2 + 3*z - 5. What is the remainder when 25 is divided by w(b)?
12
Let o(g) = 4*g**2 + 7. Let n(u) = -u**2 - 1. Let r = -4 - -7. Let c(z) = r*n(z) + o(z). Calculate the remainder when 7 is divided by c(0).
3
Let d be (3 + 13)*(0 + 1). Suppose -d = -p + 5. What is the remainder when p is divided by (-11)/(-2)*(2 + 0)?
10
Let a(j) = j**3 - 8*j**2 - 10*j + 6. Let m be a(9). Let y = m - -8. Suppose 0 = y*u + 32 - 112. Calculate the remainder when 30 is divided by u.
14
Suppose -c + 4*c - 199 = -n, n - 219 = c. What is the remainder when n is divided by 43?
42
Let l = -3 + 4. Let b = 3 - l. Let v(r) = 6*r. Calculate the remainder when v(b) is divided by 7.
5
Suppose 0 = 2*m + 4*f - 90, -4*m - 13*f = -9*f - 168. Calculate the remainder when m is divided by 12.
3
Suppose 0 = -2*s - p + 3, 3*p + 29 = 4*s - 2. Suppose 0 = -5*z - 4*i - 128, s*z = -z + i - 143. Let c = 0 - z. Calculate the remainder when c is divided by 10.
8
Let v = -182 + 316. Let q = -77 + v. Calculate the remainder when q is divided by 15.
12
Let z be 4/(-28) - 113/(-7). Let j = z + 20. Let v = j - 13. What is the remainder when v is divided by 8?
7
Suppose -4*k - 35 = -5*x - 0*k, k = -5. Let j = -4 - -13. What is the remainder when j is divided by (x/(-6)*-10)/1?
4
Suppose 3*q - 1 - 5 = 0. Suppose r - q = 12. What is the remainder when 54 is divided by r?
12
Let v(g) = -g**3 + 7*g**2 - 8*g + 6. What is the remainder when 45 is divided by v(5)?
13
Let j = 18 - 16. Let i(c) = 8*c**2 + c + 1. Let b be i(-1). Let w = 11 - b. What is the remainder when w is divided by j?
1
Suppose -4*j = -2*b - 16, j + b = -j. Let c = 9 - 6. Calculate the remainder when c is divided by j.
1
Let q = -2 + -8. Let o = q + 18. What is the remainder when 15 is divided by (-1)/(-2 - (-15)/o)?
7
Let r be 3/(-15) - 28/10. What is the remainder when (-3)/((-1)/(-16)*r) is divided by 6?
4
Suppose 0 = 4*y, 0 = 2*z + 5*y + 31 + 29. Let k = z + 67. Let t(j) = j**3 + 11*j**2 - 2*j - 9. What is the remainder when k is divided by t(-11)?
11
Suppose g - 30 = -8. What is the remainder when (13 + -1)*(-16)/(-3) is divided by g?
20
Suppose -2*f = 4 - 16. What is the remainder when 23 is divided by f?
5
Suppose -h = -3*h + 360. Suppose -3*d + d = -h. Suppose d = r + 4*r. Calculate the remainder when r is divided by 7.
4
Suppose 6*w = -0*w + 48. Calculate the remainder when 39 is divided by w.
7
Suppose -4*y + 8*y - 8 = 0. Suppose i - 7 = y. Suppose -2*d + 3*g = -i, -4*d - g = -0*g - 53. Calculate the remainder when 23 is divided by d.
11
Suppose 3*w = 5*w - 6. Suppose -q + w*q - 82 = 0. What is the remainder when q is divided by 21?
20
Let s = -95 + 207. Suppose -4*u = -0*m + 4*m - s, 0 = 5*m + u - 140. Calculate the remainder when m is divided by 10.
8
Let q be ((-2)/(-6))/((-1)/(-6)). Suppose 27 = -4*y - 5*h, q*y + 0*h - 9 = 5*h. Calculate the remainder when 1 - (-20 + y/(-3)) is divided by 7.
6
Suppose 5*a - 91 = 94. Calculate the remainder when a is divided by 19.
18
Let p = 14 + -10. Suppose p*x = -5*j + 34 + 4, 17 = 2*j + x. Let w(n) = -n**2 - 14*n - 5. What is the remainder when w(-11) is divided by j?
8
Suppose -21*l = -22*l + 166. What is the remainder when l is divided by 42?
40
Let a = 3 - 5. Let u = a + 2. Let z = 8 - u. What is the remainder