the remainder when z(h) is divided by 12?
8
Suppose -5*r + x + 24 = 0, -4*r + 0*r + 4*x = -32. Suppose -5 = 5*g, -g = 3*z - 59 + 21. Calculate the remainder when z is divided by r.
1
Suppose 360 = 3*z - z. Let n = 310 - z. Suppose 4*x - n = -2*c, -2*c - 2*c - 4*x + 252 = 0. What is the remainder when c is divided by 21?
19
Let o be (-91)/(-14) - 2/(-4). Suppose -3*t + f + 47 = -f, -t - o = 5*f. What is the remainder when 38 is divided by t?
12
Let u = -1 + 10. Suppose -5*p + 7 = -d + 27, 0 = -2*d - 3*p + 1. Suppose 0 = d*f - 80 - 5. What is the remainder when f is divided by u?
8
Suppose 0 = 2*b - 5*b + 33. Calculate the remainder when b is divided by 6.
5
Calculate the remainder when ((-3)/(-12)*-2)/(6/(-564)) is divided by 8.
7
Let p = 4 + -3. Let r(m) = -6 - 3*m + 0 - p - 1. Calculate the remainder when 29 is divided by r(-6).
9
Let r = 8 - 8. Suppose u + r*u = 50. What is the remainder when u is divided by 17?
16
Let x(g) = -g - g**2 + 22*g**2 - 4*g**2 + 26*g**2. What is the remainder when x(1) is divided by 22?
20
Calculate the remainder when (-64 + -1 + -2)/(-1) is divided by 23.
21
Let t(c) = -2*c**2 + 16*c + 5. What is the remainder when t(8) is divided by 3 + (2 - 2) - -1?
1
Let u = 1 - 1. Suppose -3*n + 31 + 32 = u. What is the remainder when 62 is divided by n?
20
Suppose -t = -1 - 2. Suppose -3*d = 3 + t. Let y(n) = -n**3 + 2*n. What is the remainder when 7 is divided by y(d)?
3
Let j = -34 + 42. What is the remainder when 31 is divided by j?
7
Let z(r) = -r**2 + 10*r - 3. Suppose -5*u + u = 3*d - 352, 0 = -5*d + 5*u + 610. Let a = d - 80. Calculate the remainder when a is divided by z(6).
19
Suppose -3*a - 3 = -3*b, -6*b - 5*a = -b - 55. Let m(t) = 1. Let h(n) = -3*n - 5. Let y(k) = -h(k) - 4*m(k). What is the remainder when 55 is divided by y(b)?
17
What is the remainder when 86 is divided by 20 - (4 + -15 - -6)?
11
Suppose -5 - 3 = -2*x. Suppose 76 = -0*s + x*s. What is the remainder when s is divided by 11?
8
Suppose 4*u - 6*u + 22 = -3*a, 4*a + 21 = u. Calculate the remainder when 8 is divided by (-20)/(-8) - 2/a.
2
Let u(z) = 8*z**2 + 12*z + 3. Calculate the remainder when u(-4) is divided by 22.
17
Suppose 76 - 13 = 3*a. What is the remainder when a is divided by 4?
1
Suppose 8 = 2*k, 95 = 3*f + k - 581. Calculate the remainder when f is divided by 25.
24
Suppose -6*q + 56 = -5*q. Let u(t) = 2*t - 6. Let y be u(5). Suppose -b + p + 10 = -4, y*b - 2*p = 66. What is the remainder when q is divided by b?
18
Let l(z) = -50*z + 1. Let m be l(-2). Let c = -8 + 11. Suppose -f + 34 = o, -m = -c*o + 4*f - 8*f. Calculate the remainder when o is divided by 12.
11
Let o(z) = -z**3 + 6*z**2 + 2*z - 4. Let r(a) = -a**2 + a + 4. Let p be r(3). Let x(g) = 5*g**2 + 2*g - 1. What is the remainder when x(p) is divided by o(6)?
7
Let z(v) = 5*v + 4*v + 8 - 3*v - v**3 + 5*v**2. Calculate the remainder when (-4)/22 - (-976)/44 is divided by z(6).
6
Suppose 3*c = 377 + 382. Calculate the remainder when c is divided by 32.
29
Let r = -16 - -32. Suppose 4*c - 5*m - 87 + r = 0, -3*m = 3*c - 60. Calculate the remainder when 35 is divided by c.
16
Let y = 16 + 18. Calculate the remainder when y is divided by 6.
4
Suppose 5*d - 17 = -2*s, 4*s - 56 = -5*d - 17. What is the remainder when s is divided by 2 + 3 + 4/4?
5
Suppose -3*f = -g - 145, -5*g - 53 = 2*f - 3*f. Let q = -37 - -62. Calculate the remainder when f is divided by q.
23
Let y(x) = x**2 - 1. Let f(g) = -4*g**2 - 3*g + 1. Let w(d) = -f(d) - 5*y(d). Let t(a) = -a + 7. What is the remainder when t(-3) is divided by w(3)?
2
Suppose -894 = 16*n - 2350. What is the remainder when n is divided by 31?
29
Suppose 3*a - 52 = 5*i - 9*i, 0 = 3*i + a - 34. Calculate the remainder when i is divided by 9.
1
Let y(n) = n**2 + 3. Let w be y(0). What is the remainder when 35 is divided by (18/(-10))/(w/(-20))?
11
Suppose -80 = -6*t + t. Let w = -21 - -25. Suppose q = -0*q + i + t, w*i + 19 = q. Calculate the remainder when 27 is divided by q.
12
Let x = 22 + -11. Suppose 3*w - 20 = 1. Calculate the remainder when x is divided by w.
4
Suppose -2*h + 2*d = -d - 248, -4*d - 16 = 0. Calculate the remainder when h is divided by 30.
28
Let p = -115 - -254. Suppose 3*w = -2*c + 91, -4*c + 7*c + p = 5*w. Calculate the remainder when w is divided by 10.
9
Suppose 2*h - 3 = -h. What is the remainder when ((-14)/(-7))/(2/3) is divided by h?
0
Suppose 0 = -6*g + 2*g + 168. Calculate the remainder when g is divided by 22.
20
Suppose -r - 2*r = -4*l + 11, 3*l + 8 = -r. Let i = 67 - 58. Calculate the remainder when i is divided by -1 + l + 1 - -7.
3
Suppose 30 = 4*p - 58. Suppose -4*j + 6*j - 26 = 0. Let o = 25 - j. What is the remainder when p is divided by o?
10
Let g(v) = v**3 - 3*v. What is the remainder when 52 is divided by g(3)?
16
Let f(j) = -j**2 + 13*j + 10. Calculate the remainder when f(11) is divided by 7.
4
What is the remainder when 27 is divided by 620/35 - 4 - 4/(-14)?
13
Let m(p) = -p**2 - 12*p. Calculate the remainder when m(-10) is divided by 11.
9
Let a = -79 + 92. What is the remainder when 63 is divided by a?
11
Suppose -432 = -9*u + 27. What is the remainder when u is divided by 11?
7
Suppose 23 = -0*a + 4*a + o, 2*a = -5*o + 7. Calculate the remainder when 30*1*(-4)/(-12) is divided by a.
4
Let a = -138 + 226. Calculate the remainder when a is divided by 13.
10
Suppose 5*r - b = 83 + 65, 0 = -4*r - 5*b + 130. Calculate the remainder when r is divided by 8.
6
Suppose -s = 4*s - 235. Let x(v) = -v**2 - 7*v + 10. Suppose d - 25 + 1 = 4*h, -2*d = -h - 6. Calculate the remainder when s is divided by x(h).
15
Suppose -4*u - j = -119 - 16, -u - 3*j = -42. Let n(c) = 2*c**2 - 10*c + 6. What is the remainder when u is divided by n(6)?
15
Let f be ((0/2)/3)/1. Suppose -3*l - 2*l + 115 = f. What is the remainder when l is divided by 8?
7
What is the remainder when 21 is divided by ((-3)/6)/(0 - (-4)/(-24))?
0
Suppose -42 - 6 = -4*r. What is the remainder when 46 is divided by r?
10
Let p = -41 + 99. Suppose -6*z - 70 = -z. Let w = 1 - z. Calculate the remainder when p is divided by w.
13
Calculate the remainder when (0 - 6/(-2)) + 4104/72 is divided by 32.
28
Let k = 169 - 95. What is the remainder when k is divided by 19?
17
Let t(d) = -d**2 - 7*d. Let h be t(-6). Suppose h = -2*q - 2. What is the remainder when 26 is divided by 18/q*(-8)/4?
8
Let n(d) = d**3 + 5*d**2 - 2. Let h be n(-5). Let w be (1/h)/((-6)/60). Suppose 2*q - 5 + 1 = 0, w*q = 5*m. What is the remainder when 2 is divided by m?
0
Let z(o) = -o**3 - 12*o**2 - 13*o - 3. Calculate the remainder when z(-11) is divided by 10.
9
Suppose 0 = -5*b + 68 + 77. Calculate the remainder when b is divided by 8.
5
Let j be ((-7)/(-14))/((-2)/160). What is the remainder when 23 is divided by (-2)/(-1) - j/4?
11
Calculate the remainder when 25 is divided by ((-8)/9)/(8/(-36)).
1
Suppose -4*t + t + 156 = 0. What is the remainder when t is divided by ((-6)/(-10))/(1 + 29/(-30))?
16
Let i = 22 + 2. Let b = i + -17. Calculate the remainder when 25 is divided by b.
4
Suppose -20*h = -22*h + 8. What is the remainder when 35 is divided by h?
3
Let o(g) = -g**3 + g**2 - g + 14. Let k be o(0). Let c = k - -2. Calculate the remainder when 30 is divided by c.
14
Suppose p - 3 - 73 = -4*g, 3*p = 3*g - 57. Let k = 171 + -117. Calculate the remainder when k is divided by g.
16
Suppose k - 29 = 21. Suppose 0*l - 2*l = 312. Calculate the remainder when k is divided by l/(-9) + 1/(-3).
16
Let n = 3 - 2. Let m(k) = 6*k**3 - k. Let y be m(n). Let i = y - -4. What is the remainder when 25 is divided by i?
7
Suppose -8 = -4*n - s, -7 = s - 3. Suppose -5*r + 29 = 3*d, 4*d + n*r = -d + 27. Calculate the remainder when 7 is divided by d.
1
Let d(k) = -k**3 - 5*k**2 + k + 7. Let j be d(-5). What is the remainder when j/6 - (-406)/6 is divided by 14?
12
Suppose -2*t + 2 + 62 = 4*j, 0 = 5*t - 3*j - 225. Calculate the remainder when t is divided by 15.
12
Suppose 41 = 4*t - 95. Calculate the remainder when t is divided by ((-14)/(-8))/((-1)/(-4)).
6
Suppose 0*l - 3*w + 2 = l, -2*l + 13 = -3*w. Let b(g) = -g + 7. Let i be b(l). What is the remainder when 31 is divided by ((-22)/8)/(i/(-8))?
9
Let o(p) = 3 - 9*p + 2*p**2 + 0 + 4 - p**3 - 12*p**2. Suppose -4*v - 14 + 0 = -2*t, -2*t + 