Let h = a - -2. Calculate the remainder when 23 is divided by h.
7
Let s(y) = y**2 - 2*y + 1. Suppose 3*w - 4 = z + 4, 0 = -3*w + 3*z + 6. Let i be s(w). Suppose -51 = -7*x + i*x. Calculate the remainder when x is divided by 9.
8
Suppose 2*f - 478 = -4*n, -2*n - 3*n + 3*f + 570 = 0. Calculate the remainder when 2*(n/6 + 3) is divided by 16.
13
Let j = 1530 - 1057. Suppose 5*n = -8 + j. Calculate the remainder when n is divided by 24.
21
Suppose -11*i + 30 = -8*i. Calculate the remainder when 28 is divided by i.
8
Suppose a - 2*a = 2. Let v be 27/6 - a/(-4). Suppose y + v*y = 160. Calculate the remainder when y is divided by 11.
10
Suppose -3*l = -2*w - 42, -l = w - 2*l + 20. Let v = 93 + -62. Let c = w + v. What is the remainder when 37 is divided by c?
11
Let t be (6 - -3)/3*-1. Calculate the remainder when 50/(2/(-6)*t) is divided by 13.
11
Let s be 4/18 - 215/(-45). Suppose 5*r = -u + 8, 4*u - 26 = 2*u - s*r. What is the remainder when u is divided by 10?
8
Let p(s) = s**3 + 13*s**2 + 13*s + 15. Let r be p(-12). Suppose r*x - 127 = h, -x + h = -3*x + 78. What is the remainder when x is divided by 14?
13
Suppose 9*b = 7*b + 54. What is the remainder when b is divided by 15?
12
Let i = 44 + -28. What is the remainder when 31 is divided by i?
15
Suppose 13*k - 19*k + 72 = 0. What is the remainder when 33 is divided by k?
9
Suppose -d + 40 = 3*s, d + 7 = s - 9. Suppose 0*f + 2*f - s = 0. Calculate the remainder when f is divided by 5.
2
Suppose 3*d = 4*f + f - 223, f = 5*d + 49. Let h(s) be the third derivative of -s**4/6 - 5*s**3/6 - 2*s**2. Calculate the remainder when f is divided by h(-5).
14
Let h(x) = 4 + x**3 - 5 - 9*x**2 - 8*x - 2 - 1. Calculate the remainder when 63 is divided by h(10).
15
Let z(s) = -4*s - 4. Let u(j) = j**2 - 6*j + 3. Let m be u(5). What is the remainder when 1 + 5 + (-1 - -1) is divided by z(m)?
2
Let q = -99 + 177. What is the remainder when q is divided by 20?
18
Suppose 7*x - 9*x + 10 = 0. What is the remainder when x is divided by 3?
2
Suppose 2*l - 10 = 7*l, -4*v - 2*l = 44. Calculate the remainder when 2/(-10) - 332/v is divided by 9.
6
What is the remainder when 57 is divided by 11*2 - 20/10?
17
Let y(z) = -z**3 - 13*z**2 + 14*z + 12. What is the remainder when 47 is divided by y(-14)?
11
Let q(s) = 5*s - 2. Let w be q(-3). Let i = 24 + w. What is the remainder when 13 is divided by i?
6
Suppose -2*t + 10 = -4*t, 2*i + 2*t = 38. Suppose -2*v - i = v. Calculate the remainder when 28 is divided by (10/4)/((-2)/v).
8
Let u = 12 + -5. What is the remainder when u is divided by 14/4 - (13 - (-184)/(-16))?
1
Let c = 65 + -41. Calculate the remainder when c is divided by 13.
11
Suppose -8*n + 10 = -6*n. What is the remainder when n is divided by 4?
1
Suppose 2*l = 5*l + 39. Calculate the remainder when 54 is divided by (-14)/91 + (-249)/l.
16
Let s be 668/6 + (-2)/(-3). Suppose -2*n + s = 2*n. What is the remainder when n is divided by 15?
13
Let d(u) = -42*u - 3. What is the remainder when d(-2) is divided by 21?
18
Let z = 3 + 3. Suppose -q - 2*q + 4*c = -69, 2*q = 3*c + 46. Calculate the remainder when q is divided by z.
5
What is the remainder when 41 is divided by (2/12 - 91/42) + 19?
7
Let t(d) = -d**2 - 15*d - 18. Let u be 0 + (-4)/(-2) - 14. What is the remainder when 34 is divided by t(u)?
16
Let o(s) = 5*s**2 + 2*s + 5. What is the remainder when o(-3) is divided by 23?
21
What is the remainder when (676/(-6) - -4)/((-2)/3) is divided by 41?
40
Let b(q) = -q**3 + 11*q**2 + 13*q + 4. What is the remainder when b(12) is divided by 5?
1
Suppose 0*q - 3*q + 45 = 0. What is the remainder when 27 is divided by q?
12
Suppose -3*u = -0*t + 2*t - 5, u = -3. Calculate the remainder when 25 is divided by t.
4
Suppose -79 = -4*v + 417. Calculate the remainder when v is divided by 42.
40
Let g(i) = i + 3. Let c be g(-4). Let o = 35 + c. What is the remainder when o is divided by 9?
7
Suppose -2 = -8*f + 86. Let d(s) = 20*s + 2. Calculate the remainder when d(2) is divided by f.
9
Let r = -371 - -635. What is the remainder when r is divided by 38?
36
Suppose 4*l + 65 + 48 = 5*x, x = 4*l + 13. What is the remainder when x is divided by 14?
11
Let a(s) = s**3 - 10*s**2 + 8*s + 13. Let p = 9 - -1. Calculate the remainder when p is divided by a(9).
2
Let f = 60 - 43. Suppose w - f = 1. Let r(i) = 3*i - 5. Calculate the remainder when w is divided by r(5).
8
Let q be (-4)/(-6) - 103/(-3). Let b = q + -12. Calculate the remainder when b is divided by 13.
10
Suppose -5*y + 2*y = -51. What is the remainder when y is divided by 4?
1
Let q(l) = l**2 + 2*l + 2. Suppose -d - 3*d = -3*u - 21, -d + 9 = 3*u. Calculate the remainder when q(-5) is divided by 3/d - 34/(-4).
8
Suppose 2*d = 5*g - 92, -3*d + 6*d = 12. Let j be (0 - -7) + 14/7. Suppose i + 4*i = 2*q - j, -q - 2*i + 9 = 0. What is the remainder when g is divided by q?
6
Suppose -3*y = 9, 2*w = y + 4*y + 53. Let a(v) = v - 8. Let j be a(0). What is the remainder when (j + 2/1)*-6 is divided by w?
17
Let p = 11 + -25. Suppose 0 = -3*l - 8 + 80. Let a = l + p. Calculate the remainder when 29 is divided by a.
9
What is the remainder when 1475/40 + (-1)/(-8) is divided by 13?
11
Let u(m) = -1. Let s(l) = 2*l + 13. Let y(q) = s(q) + 4*u(q). What is the remainder when y(7) is divided by 8?
7
Suppose -60 = 6*t - t. Calculate the remainder when (t/9)/((-4)/150) is divided by 13.
11
Let l(h) = -h**3 + 7*h**2 + 7*h + 2. Let j be l(7). Suppose 3*s - 4*w = -j, 17 = -s - 3*w - w. Calculate the remainder when 32 is divided by (-1)/(-1 - 16/s).
15
Let q = 13 - -4. Calculate the remainder when 30*((-48)/10)/(-3) is divided by q.
14
Let o = 5 + -3. What is the remainder when 5 is divided by o?
1
Suppose 4*k - k - 15 = -3*w, -9 = -3*k. What is the remainder when 21 is divided by w?
1
Calculate the remainder when 115 is divided by ((-4)/3)/(32/(-216)).
7
Let n(b) = 7*b + 1. Let c(q) = -q - 12. Let l be c(-12). Suppose 6*a - 3*a - 9 = l. Calculate the remainder when n(1) is divided by a.
2
Let f = -71 + 122. What is the remainder when f is divided by 13?
12
Let u(m) = -m**3 + 7*m**2 - 2*m + 7. Let i(l) = l**3 + l**2 + l + 16. Suppose -v = -5*v. Calculate the remainder when u(5) is divided by i(v).
15
Suppose 4*o = -o + 10. What is the remainder when 2 + (o - (-18 - -3)) is divided by 7?
5
Suppose -3*g = 5*w - 23, 5*g - 1 + 4 = 2*w. Calculate the remainder when 4 is divided by w.
0
Suppose 3*w - 8 = 7. Let p = 7 - w. Suppose -5*i + p*i = -84. What is the remainder when i is divided by 15?
13
Let y be 5/(1*(0 - -1)). Suppose -3*b = 3*g + 9, 0*g + 17 = -3*g - y*b. What is the remainder when -4 - -6 - (-17)/g is divided by 7?
5
Suppose -4*c + 10 = -26. What is the remainder when 41 is divided by c?
5
Let k(v) = 26*v**2 + 1. Suppose -4*g + 24 = -5*a, -4*g - 2*a - 8 = a. What is the remainder when k(g) is divided by 7?
6
Let x(p) = -15*p**3 + 0*p + 3 + 14*p**3 - p + 4*p**2. What is the remainder when x(3) is divided by 5?
4
Suppose 4*o - 49 = -3*k, 5*k + 18 = -0*o + o. Let g = o - 8. Suppose g*m - m = 60. What is the remainder when 29 is divided by m?
14
Let m = 8 - 17. Let u = -5 - m. What is the remainder when u/(-10) - 561/(-15) is divided by 13?
11
Let j = 287 + -205. What is the remainder when j is divided by 28?
26
Let k(j) = j**2 + j - 1. Let a be k(-2). Suppose 0 = -5*t - y - 3*y + a, -5*y - 9 = -4*t. What is the remainder when t is divided by 1?
0
Let n = 111 + -23. What is the remainder when n is divided by 15?
13
Let t(j) = j**3 + 4*j**2 + 4*j + 3. Let g be t(-2). Let q = g + 12. Calculate the remainder when 42 is divided by q.
12
Let g = 0 - -5. Suppose 0 = -5*v + 4*z, 3*v + g*z = 2*v. Suppose 0 = 2*t - 4*t - 3*b + 140, -2*t - 2*b + 136 = v. What is the remainder when t is divided by 22?
20
Calculate the remainder when 75 is divided by (-314)/(-8) + -4 + (-45)/(-12).
36
Let j(r) = 2*r**2 - 1. Calculate the remainder when j(-5) is divided by 18.
13
Suppose 215 = 7*m - 2*m + q, -2*m + 86 = -q. Let d(i) = i**3 + 8*i**2 + 4*i - 10. What is the remainder when m is divided by d(-7)?
10
Suppose -3*a + 2*c + 41 = 6*c, -3*a + 3*c = -6. Calculate the remainder when 25 is divided by a.
4
Let u(q) = -q - 5. Let c be u(-3). Let i be (-10)/3 + (-4)/6. Let g = c - i. What is the remainder when 2 is 