e -2*t - 4 = -w, -5*w + t - 2*t = -42. What is the remainder when w is divided by l(-6)?
3
Suppose -33 = -5*p - 4*x, x + 4*x - 25 = -3*p. Suppose p*z - t - 284 = z, -8 = 2*t. Calculate the remainder when z is divided by 9.
7
Let v = -27 - -53. Let m(q) = -27*q - 283. Calculate the remainder when v is divided by m(-11).
12
Let a(w) = 99*w**2 - w - 1. Let p be a(-1). Suppose -17*h + 14*h = -p. What is the remainder when h is divided by 7?
5
Let o = 7 + -2. Suppose -3*f + o*u + 2 = -39, -5*f + 15 = 5*u. Suppose 0 = a + 4*d + 5 - 34, a - 4*d - 21 = 0. Calculate the remainder when a is divided by f.
4
Suppose -2*s + 1 = -113. Suppose -8*r + 30 = -6*r. Calculate the remainder when s is divided by r.
12
Let w = -31 - -40. Suppose -4*d = -2*k - 60, 4*d - 45 = d - 3*k. What is the remainder when d is divided by w?
6
Suppose 19*a - 15*a - 8 = 0. Suppose -60 = -a*q + 108. Calculate the remainder when q is divided by 43.
41
Let f(i) = -7*i - 3*i + 4*i. Let q be f(-1). Suppose 9*w - 81 = q*w. What is the remainder when w is divided by 7?
6
Suppose 0 = 3*b + l + 2*l - 81, 0 = 2*l + 2. Calculate the remainder when 69 is divided by b/6 - 4 - 104/(-6).
15
Let g(v) = -22*v - 24. Calculate the remainder when g(-2) is divided by 3.
2
Suppose 4*k = -3*g + 439, 110 = 2*k + g - 109. Calculate the remainder when k is divided by 16.
13
Let t = 259 + -249. Calculate the remainder when 287 is divided by t.
7
Let x(o) = o**3 - 11*o**2 + 9*o + 11. Let s be x(10). What is the remainder when (-434)/(-10) - 16/40 is divided by 15 + 0/(s + 2)?
13
Let v be 2/8 + (-21)/(-12). Let z be (74/v)/((-3)/(-6)). Let u = z + -49. Calculate the remainder when u is divided by 7.
4
Let i(n) = 4*n**2 - 3*n - 7. Let u be (1 + 0)/((-2)/6). Calculate the remainder when i(u) is divided by (-13 + 0)*(0 + -1).
12
Let q(l) = -70*l + 5. Let s be q(-7). What is the remainder when 29 is divided by (-4)/18 - 11/(s/(-280))?
5
Let q(m) = -m**2 + 4*m + 2. Let v be q(4). Suppose -l - 33 = -v*l. Suppose -3*f + 21 = -l. Calculate the remainder when f is divided by 5.
3
Let q(g) = -g**3 + 11*g**2 + 13*g + 10. Suppose 0 = -2*v + v + 64. Calculate the remainder when v is divided by q(12).
20
Let m(d) = 4*d - 15. Let a be (1 - (-1 - 0))/((-4)/(-14)). Let i(j) = 4*j - 1. What is the remainder when i(6) is divided by m(a)?
10
Suppose 7*v = 3*v + 5*l - 7, -4*v - 3*l = 15. Let y be v/9 - (-1)/3. Suppose y*c - c + 23 = 0. What is the remainder when 89 is divided by c?
20
Let n(l) = -l**3 + 14*l**2 - 12*l - 10. Let g be n(13). Suppose -2*y + 350 = g*y. Calculate the remainder when y is divided by 9.
7
Let j(m) = 3 + 10*m - m**2 - 2 + 10 - 2. Let r be j(10). Suppose 3*v + 2*s = 62, -2*v + r = 3*s - 39. What is the remainder when 33 is divided by v?
15
Let l(x) = 840*x**2 - x + 1. Let j be l(1). Calculate the remainder when 77 is divided by (3/9)/(10/j).
21
Suppose 3*r = -2*g + 33, 2*r + 11 = 3*r + 3*g. Suppose 5*i - 5*v = 15, 2*i + 4*v = 5*i - r. Suppose -o + i = -0. Calculate the remainder when 2 is divided by o.
0
Suppose 2*y + 3*c = 33, 4*y + 9*c - 91 = 8*c. Calculate the remainder when 69 is divided by y.
21
Suppose -4*u = -2*w - 26, 3*u + 4*w = 7*u - 16. Calculate the remainder when 77 is divided by u.
5
Let x(c) = -66*c + 8. Calculate the remainder when x(-3) is divided by 11.
8
Let x = -14 - -14. Let q = 40 - x. What is the remainder when q is divided by 11?
7
Let r be (0 + 4)*5/(-10) - -1. Let z = r - -44. Calculate the remainder when z is divided by 23.
20
Let v = -19 + 43. Let k be (1888/v)/(4/6). Let p = k + -56. What is the remainder when p is divided by 21?
20
Calculate the remainder when 51 is divided by (-1 - -4 - 4)*-13.
12
Suppose -3*r = -7*r + 16. Suppose r*a - 5*a + 103 = 0. Let f = 6 + 20. What is the remainder when a is divided by f?
25
Let j(h) = -h + 4. Let n be j(4). Suppose 0 = 5*r - 3*q + 3 - 71, r + 3*q - 10 = n. Suppose 24*t - 266 = 17*t. What is the remainder when t is divided by r?
12
Let y(j) = j - 5. Let q be y(6). Let h be 3/3*4 + q. Suppose 5*u - 35 = -h*w, 24 = -5*w + 5*u + 69. What is the remainder when 13 is divided by w?
5
Let d be 10/6*(4 + -1). Suppose -7*o = d*l - 5*o - 148, 0 = 4*o - 16. What is the remainder when 51 is divided by l?
23
Let z = 136 - 126. What is the remainder when (1/2 - 1)*-56 is divided by z?
8
Let p be 2/(-4) + 5/2. Suppose -5 = -4*w + 3*x, 2*w = 7*x - 3*x. Let j = w + p. What is the remainder when 10 is divided by j?
2
Let d = 459 + -114. What is the remainder when d is divided by 25?
20
Suppose -5*c + 18 + 47 = 0. Suppose 3*i = -4 + c. Let v(q) = q**3 - 3*q**2 + 2*q - 4. What is the remainder when 6 is divided by v(i)?
0
Suppose -5*k = -3*r - 2*r - 875, r - 2 = 0. Suppose -h + 4*h - k = 0. Calculate the remainder when h is divided by 15.
14
Calculate the remainder when (-71)/5*(-52 - -42) is divided by 36.
34
Suppose 0 = -4*l + 20, 2*z - 4*z + 41 = 3*l. Calculate the remainder when 42 is divided by z.
3
What is the remainder when 58731/81 + 10/(-135) is divided by 23?
12
Suppose 4 = -2*m, -5*p - 4*m = 5 - 32. What is the remainder when (-1)/(1/(-18) - 0) is divided by p?
4
Let l = -766 + 1067. What is the remainder when l is divided by 111?
79
Let g(x) = -10*x - 7 + 7*x**2 - 11*x**2 + 2*x**2 + x**2. What is the remainder when 34 is divided by g(-8)?
7
Let m(o) = -3*o**2 - 5*o - 1. Let n(d) = 4*d**2 + 5*d. Let y(i) = -3*m(i) - 2*n(i). Calculate the remainder when 15 is divided by y(0).
0
Let g = 37 + -31. Calculate the remainder when 2/(-10) + ((-738)/(-15) - g) is divided by 12.
7
What is the remainder when 285 is divided by ((-8)/12)/(1/(-24))?
13
Let w be ((-50)/(-15))/((-6)/(-9)). Suppose -2*j - z = j - 48, w*z - 36 = -3*j. Calculate the remainder when 46 is divided by j.
12
Suppose 0 = 11*o - 248 - 401. What is the remainder when o is divided by 35?
24
Calculate the remainder when 316/237*1*15/1 is divided by 11.
9
Let r(k) = -11*k + 37. Let p be r(3). Suppose 2*w - 414 = -p*w. Calculate the remainder when w is divided by 10.
9
Let u = 183 - 48. Calculate the remainder when u is divided by 47.
41
Suppose 77 + 168 = 5*s. Calculate the remainder when s is divided by 24.
1
Let z(b) = 2*b**3 - 20*b**2 + 3*b - 24. Let h(x) = x**3 - 10*x**2 + 2*x - 12. Let l(f) = 11*h(f) - 6*z(f). What is the remainder when l(10) is divided by 9?
7
Let z(t) = -9*t - 2. Suppose s + 5*h + 13 = 0, -4*s + 2*h - 1 = -15. Suppose -59 = -s*j + 31. What is the remainder when j is divided by z(-2)?
13
Suppose -15*h + 23*h - 696 = 0. Suppose 4*w + 3*m - h = 0, 0 = 3*m + 4 + 5. Calculate the remainder when w is divided by 5.
4
Let l(x) = -5*x**2 + 3*x**3 - 5*x**3 + x**3 + 2 - x. Let s be l(-6). Suppose 4*t + 0*t = s. What is the remainder when 31 is divided by t?
9
Suppose -474 = -4*n + 162. What is the remainder when n is divided by 27?
24
Suppose 35*j - 693 = 4627. What is the remainder when j is divided by 53?
46
Let r(a) = -a**3 + 8*a**2 - 5*a + 1. Suppose i - 9 = -2*i. Let j(o) = o**2 - 3*o + 7. Let l be j(i). What is the remainder when 59 is divided by r(l)?
14
Suppose 0 = -4*t - 3*t + 322. Suppose -5*i - o + 62 = 0, 3*i - 2*o - 45 + 13 = 0. Suppose 0 = -0*v - v + i. What is the remainder when t is divided by v?
10
Let l(j) = -23*j + 14. Let h(r) = -22*r + 15. Let v(f) = 3*h(f) - 4*l(f). Calculate the remainder when v(3) is divided by 17.
16
Suppose 0 = -2*l - 0*l + 16. Let t = -25 - -31. Let i = t - -14. Calculate the remainder when i is divided by l.
4
Let u(i) = -i**3 + 3*i**2 + 17*i + 11. Let x be u(6). Suppose -5*w - x*z = -45, 0 = -4*w + 2*z + 5 + 55. Calculate the remainder when 38 is divided by w.
12
Let x(o) = -o**3 + o**2 + 2*o + 19. Let g be 33/(-2 - 17/(-10)). What is the remainder when x(0) is divided by (-4)/(-22) + (-1190)/g?
8
Suppose 55 = -5*k + 510. Let y = k - 75. Suppose -3*h + 9 = -21. Calculate the remainder when y is divided by h.
6
Suppose 165 = 6*i - 3*i. Suppose 0 = -3*m - 7 + i. What is the remainder when 57 is divided by m?
9
Let p = -65 - -67. What is the remainder when 15 is divided by p?
1
Suppose 12*z - 7*z = 55. Suppose 24 = 2*a - 24. Suppose 2*q - 2*l = -6*l + a, -2*l = -4*q + 88. What is the remainder when q is divided by z?
9
Suppose -7*z + 4 = 25. Let i = z - -12. Let a = 13 - i. What is the remainder when a is divided by 3?
1
Suppose 0