is divided by 19.
17
Let b(p) = p + 5. Calculate the remainder when b(12) is divided by 9.
8
Let z(x) = -6*x - 25. Calculate the remainder when 12 is divided by z(-5).
2
Calculate the remainder when 10 is divided by -8*(14/(-4))/7.
2
Calculate the remainder when 4 - 62/14 - (-1794)/21 is divided by 9.
4
Suppose v - 4 = 0, -4*v = -2*o - v + 6. Calculate the remainder when o is divided by 6.
3
Suppose 2*w - 10 = -3*w. What is the remainder when ((-4)/w - 0)*-14 is divided by 10?
8
Calculate the remainder when 54 is divided by (-340)/(-24) + 3/(-18).
12
Let r be 46/(-8) + 6/(-24). What is the remainder when 46/(-3 - r - 1) is divided by 5?
3
Let t(x) = 2*x + 42. What is the remainder when t(4) is divided by 8?
2
Suppose m + n + 41 = -m, 0 = -m - 2*n - 28. Let c = -6 - m. What is the remainder when 21 is divided by c?
9
Let j = 6 - 6. Suppose r - n = 54, r - 3*n = -5*n + 42. What is the remainder when r is divided by (j - -4)*(-91)/(-28)?
11
Suppose 3*j - 278 = -83. Calculate the remainder when j is divided by 22.
21
Let n be ((-16)/6)/(4/(-6)). Suppose 3*c - 13 = -4*x, n = c - x - 5. Let s = -1 - -5. What is the remainder when c is divided by s?
3
Let n(v) = 5*v**2 - v - 1. Calculate the remainder when 23 is divided by n(2).
6
What is the remainder when 49 is divided by 448/44 + 2/(-11)?
9
Suppose 0 = 11*c - 15*c + 76. Let p be (176/3)/(3/9). Suppose 3*v - 4*v = 4*k - 226, p = 3*k + 4*v. What is the remainder when k is divided by c?
18
What is the remainder when 66 is divided by (33/22)/(6/100)?
16
Let l = -88 - -151. Calculate the remainder when l is divided by 22.
19
Calculate the remainder when -3 - -1 - 630/(-14) is divided by 12.
7
Let v = -46 + 79. Let l = 47 - v. Calculate the remainder when 27 is divided by l.
13
Suppose 0 = 4*c - 2*r - 84, 0*c + 3*c = r + 62. Suppose -c = -5*w + 3*w. What is the remainder when 27 is divided by w?
7
Let y(x) = -3*x - 6. Let g be y(-4). Suppose -5*o + 18 = g*h - 2*h, 3*h + 2 = 4*o. Suppose -2*i + 40 = h*i. Calculate the remainder when 28 is divided by i.
8
Let z(i) = -8*i**2 - 4*i + 2*i**3 - 4*i - i + 12 - i**3. Calculate the remainder when 22 is divided by z(9).
10
Suppose -48 = 3*o + 3*k - 114, -2*o = 3*k - 49. Suppose o - 5 = 2*f. What is the remainder when f is divided by 2?
0
Let x(w) = 6*w + 1. Suppose r = g + 4*g - 74, 4*r + 44 = 2*g. What is the remainder when x(4) is divided by g?
11
Let h(o) = o**3 - 9*o**2 + 9*o + 14. Calculate the remainder when h(9) is divided by 32.
31
Suppose -2*w = -5*c - 123 - 78, -4*w - 2*c + 342 = 0. Calculate the remainder when w is divided by 9.
7
Let x(n) = n**3 + 7*n**2 + 2*n - 5. What is the remainder when 92 is divided by x(-6)?
16
Suppose -5*b = -3*y - 3, 3*b = y + 4 + 1. What is the remainder when b is divided by 2?
1
Let o = -69 - -138. What is the remainder when o is divided by 24?
21
Let d(h) = 3*h**2 - 2*h + 1. Let r be d(1). Let c = 4 + r. Calculate the remainder when c is divided by 2.
0
Suppose 0 = p - 5, 2*p + 39 = 2*l + p. Calculate the remainder when l is divided by 4.
2
Let n(m) = 10*m - 10. What is the remainder when 99 is divided by n(3)?
19
What is the remainder when ((-9)/((-63)/133))/(2/4) is divided by 21?
17
Let d = -3 + 33. Suppose -24 = -3*h - 3*c - 3, 4*h + 5*c = d. Calculate the remainder when 0 + -1 + 0 - -19 is divided by h.
3
Let l(h) = 4*h**3 - h - 25*h**3 - 3*h**2 + h**2. Calculate the remainder when (-4 + 2)*(-18 - 1) is divided by l(-1).
18
Suppose 0*o + 2*o - 2*h - 104 = 0, -260 = -5*o - 5*h. What is the remainder when o is divided by 11?
8
Let b(s) = s**3 + 10*s**2 + 9*s - 11. Suppose -c - 6 = -22. Calculate the remainder when b(-8) is divided by c.
13
Suppose 112 = 3*m + 10. Calculate the remainder when 133 is divided by m.
31
Suppose -3*z + 4 = -2*z + 4*b, 5*z - b = -64. Let k be 24/20*5/(-2). Let j = k - z. Calculate the remainder when 17 is divided by j.
8
Let s = 3 + 0. Suppose -4*v = 4*z - s*v - 34, -25 = -3*z - v. Let w = 17 + -12. Calculate the remainder when z is divided by w.
4
Suppose -3*m + 2 = -6*m + 4*i, 0 = -5*m - 3*i + 45. What is the remainder when 15 is divided by m?
3
Let r(p) = -3*p**3 - 3*p**2 - 2*p + 2. Let f be r(-2). What is the remainder when 27 is divided by 130/f - (-10)/(-45)?
6
Let p(f) = f**3 + 7*f**2 + 3*f - 2. Calculate the remainder when 58 is divided by p(-6).
10
Let k(h) = 4*h**2 - h + 2. Let o = 86 + -48. Let u = 9 + o. What is the remainder when u is divided by k(2)?
15
Let r(v) = 495*v**2. Let d be r(1). Suppose 0 = -5*q - 0*q + d. Suppose -4*f + q = -3*i, -f + 17 = 2*i - 5. Calculate the remainder when f is divided by 13.
11
Suppose 5*b - 3*c + 276 = 0, 0 = -5*b - 4*c - 0*c - 262. Let d = -13 - b. Calculate the remainder when d is divided by 11.
8
Suppose -3 = -5*x + 7. Suppose 4*j - 60 = -4*s, -61 + 1 = -x*j + 4*s. Calculate the remainder when 37 is divided by j.
17
Let w = 4 + 65. Let j = -44 + w. What is the remainder when j is divided by 7?
4
What is the remainder when 44 is divided by -8*5/(-180) - (-214)/9?
20
Suppose 0 = 3*m - y - 459, 47 - 200 = -m + 5*y. What is the remainder when m is divided by 22?
21
Suppose -3*k - 2*i = -41, 2*k + 3*i + 2*i - 31 = 0. What is the remainder when (-2 + 104)/(2 + 0/(-3)) is divided by k?
12
Suppose -m + 40 = -3*r, 0*r - 4*m - 95 = 5*r. What is the remainder when 23 is divided by (-3 + 2)*(r + 2)?
10
Suppose r - 33 = -2*r. Suppose 66 = 2*o + 26. What is the remainder when o is divided by r?
9
Let i(p) = p**3 + 6*p**2 + 4*p - 6. Suppose -4 = 3*w + 11. Let o be i(w). Calculate the remainder when o + 1 + 2 + 0 is divided by 1.
0
Suppose 0*f + 5*f = 30. Calculate the remainder when 46*(2 - -1)/6 is divided by f.
5
Suppose -3*g - 9 = 0, -3*g - 3 - 11 = -v. Calculate the remainder when 24 is divided by v.
4
What is the remainder when ((-1)/3)/((-3)/387) is divided by 9?
7
Let w(m) = -m**2 + 6*m. What is the remainder when 13 is divided by w(5)?
3
What is the remainder when 1 - 95/(-2) - (-72)/48 is divided by 13?
11
Let d(k) = 6*k**2 + k + 1. What is the remainder when 22 is divided by d(-1)?
4
Suppose -2*t + 4*t = 14. Let r(x) be the third derivative of x**5/60 - 7*x**4/24 - 5*x**3/3 - x**2. What is the remainder when r(10) is divided by t?
6
Suppose 9 = 2*g + u, -2*u - 22 = -5*g - 4. Suppose -w = -3*w + 5*z - 22, 3*w = -g*z - 10. Calculate the remainder when 27 is divided by (-42)/(-4)*(-4)/w.
6
Let k(t) = -t**2 + 13*t - 6. What is the remainder when 1*11 + -1 + 1 is divided by k(12)?
5
Suppose -k = 2*t - 0*k - 1, 3*t + 2*k = 0. Let z = 1 + 1. Suppose 17 = 3*o + z. What is the remainder when o is divided by t?
1
Let m be 46/14 + (-2)/7. Suppose -m*w + 8 = n, -5*w = 2*n - 5*n - 4. Let v = -3 + 8. What is the remainder when v is divided by n?
1
Suppose 22 = -2*c + 4*c. Suppose 0 = 10*h - 15*h + 35. Calculate the remainder when c is divided by h.
4
Let j(z) = -z**3 + 7*z**2 + 19*z + 8. Calculate the remainder when j(9) is divided by 11.
6
Suppose -48 = -3*k + k. Let j(c) = c**3 - 11*c**2 + 13. Suppose 4*u + 4*r = -0*u + 52, u - 3 = 4*r. Calculate the remainder when k is divided by j(u).
11
Let a = 3 + 8. What is the remainder when 31 is divided by a?
9
Let v(m) = -m**3 + 3*m**2 + 9*m - 4. Let y be v(6). Let c = 106 + y. Calculate the remainder when c is divided by 17.
14
Let g(w) = -w**3 + 4*w**2 + 7*w - 6. Let i be g(5). Let d = 1 + i. What is the remainder when 8 is divided by d?
3
Let j = -15 + 10. Let f = 5 + j. Calculate the remainder when 1 is divided by 1 + 0 + f/2.
0
Suppose 14 + 42 = 4*o. What is the remainder when o is divided by 4?
2
Let o = -46 + 29. Let i = o + 31. What is the remainder when i is divided by 8?
6
Let l = 64 - 46. Calculate the remainder when -33*3/l*-2 is divided by 6.
5
Let h be (-3)/((-5)/(50/6)). Suppose j - 3*z - 3 = 0, -h*j - z = -0*z - 63. Calculate the remainder when j is divided by 7.
5
Let o = 13 - 6. What is the remainder when 13 is divided by o?
6
Suppose -4*d - 57 = -3*n + d, d - 67 = -5*n. Calculate the remainder when 54 is divided by n.
12
Let b be 53/4 + 3/(-12). Let m = b + -3. What is the remainder when 1 - 9*1*-2 is divided by m?
9
Suppose 2*y - 4 = 22. Let v = y - 8. Calculate the remainder when 19 is divided by v.
4
Let b(y) = 3*y**3 - 4*y**2 + 5*y - 6. Calculate the remainder when b(3) is divided by 14.
12