 1. Calculate the remainder when 14 is divided by b(-2).
6
Suppose 10*l + 19 = 11*l. What is the remainder when 74 is divided by l?
17
Let c(p) = 21*p**3 - p**2 + p - 1. Let h be c(1). Let i = h + -12. What is the remainder when 2/(-4) + 1098/36 is divided by i?
6
What is the remainder when 4 - (-10 + 9)/((-2)/(-12)) is divided by 2?
0
Suppose y = -y + 12. Let n = -16 - y. What is the remainder when 12/(-3)*n/4 is divided by 8?
6
Suppose -6 = -2*h, -53 = -3*b - h - 14. What is the remainder when 11/(-44) + 5/8*74 is divided by b?
10
Suppose -4*d - 145 = -5*w, 2*d - d + 130 = 5*w. Let f = 33 - 3. Suppose -2*q = -n - 19, -3*n - f = -q - 2*q. What is the remainder when w is divided by q?
7
Let b(c) = 44*c**2 - c + 1. Let g be -2*(-2)/(-8)*-2. Suppose 16 = o + g. What is the remainder when b(1) is divided by o?
14
Let o(z) = z**2 + 3*z - 2. Let q be o(-5). Calculate the remainder when (q/12)/(4/162) is divided by 10.
7
Let q(c) be the third derivative of 2*c**6/15 - c**4/24 - 4*c**2. Suppose -6*l = -5*l - 28. What is the remainder when l is divided by q(1)?
13
Let d(n) = n**3 + 6*n**2 - 25*n + 2. Calculate the remainder when 44 is divided by d(3).
4
Let g be ((-27)/6)/(-3)*22. Let x be (-4)/22 - (-4230)/g. Suppose 7*k - 3*k = x. Calculate the remainder when k is divided by 17.
15
Let u(q) = 3*q**3 + 1. What is the remainder when 2/1 + (-24)/(-2) is divided by u(1)?
2
Suppose 0 = -9*n + 6*n + 57. Let z be 3*3 - (1 + 1). Let u(b) = b**3 - 8*b**2 + 8*b + 3. Calculate the remainder when n is divided by u(z).
9
Let c be 6 + 0 + 4/(-2). Suppose 4*h + c = 3*h. Calculate the remainder when (-1)/h - (-254)/8 is divided by 11.
10
Suppose -46 = -2*z + 2. Suppose 0 = 3*p - 4*p + z. Suppose -2*n = 2*n - 36. Calculate the remainder when p is divided by n.
6
Let h be (-2)/(-6)*(-18)/(-3). Let k = 4 - h. Let q = 9 - k. Calculate the remainder when q is divided by 3.
1
Calculate the remainder when 55 is divided by ((-7)/3)/((-5)/15).
6
Let m(y) = y**2 - 6*y + 7. Let f be m(5). Suppose f*z + 58 - 218 = 0. Calculate the remainder when z is divided by 27.
26
Let q be -3*-3*(-2)/9. Let g be (q - (-6 + 1)) + -1. Suppose -f = g*f + x - 104, -f + 2*x + 37 = 0. What is the remainder when f is divided by 12?
11
What is the remainder when 58*(21/6)/7 is divided by 18?
11
Let x = -166 + 180. Suppose -5*d + 3*f - 11 = -45, 5*d + 5*f - 10 = 0. What is the remainder when x is divided by d?
4
Suppose 38 = -4*t - 2*b - 52, -t = -3*b + 33. What is the remainder when (2/(-4))/(3/t) is divided by 2?
0
Let m(j) = -j**2 - j - 1. Let x be m(-2). Let d = 1 - x. Calculate the remainder when 13 is divided by d.
1
Let d be -15 - 0 - (-3 - -3). What is the remainder when (-3 - 4)/(2/(-10)) is divided by (6/d)/(1/(-30))?
11
Calculate the remainder when (0 - -1) + (99 - 10) is divided by 23.
21
Let c(p) = p**3 - 5*p**2 + p - 3. Let i be c(5). Suppose -18 = -4*a + i. Suppose 40 = a*g - 35. Calculate the remainder when 28 is divided by g.
13
Let l(b) = b**3 + 7*b**2 + 4*b - 7. Suppose -5*q + 135 = 40. What is the remainder when q is divided by l(-6)?
4
Let m(d) = d**3 + 6*d**2 - d - 5. Let s be m(-6). Suppose -u - s = -5. What is the remainder when 9 is divided by u?
1
Suppose -3*k = -5*n + 61, n + 2 = 5*k + 1. Let h(j) = j**2 - 6*j + 4. Let g be h(13). Let p = 136 - g. What is the remainder when p is divided by n?
13
Let v(s) = -s + 3. Let f be v(2). Suppose 0 = 5*j + 4*i - 52, 4*i + f = -j + 5. Suppose 2*n + 44 = 4*n. What is the remainder when n is divided by j?
10
Let j(v) = 2*v**2 - 8*v - 12. Suppose 4*d = 8*d - 36. What is the remainder when j(d) is divided by 27?
24
What is the remainder when 15/(-25) - 665/(-25) is divided by 3?
2
Suppose 0 = -3*l + 7 + 11. Calculate the remainder when 23 is divided by l.
5
Suppose -6*j + 12 = -2*j. Suppose -6*u = b - u - 17, 0 = -j*b + u + 19. Calculate the remainder when 13 is divided by (-2)/b + (-37)/(-7).
3
Let r = 62 - 53. Calculate the remainder when (-49)/(-3) - (-1)/(-3) is divided by r.
7
Let w = 27 - 18. Calculate the remainder when 33 is divided by w.
6
Let x(k) = 0*k + k + 8*k - 1 + 3*k. Let q = 4 + -3. Calculate the remainder when x(q) is divided by 6.
5
Let v be 20/(-4 - 0) - -2. Let m(y) = y**3 + 4*y**2 - 4. Calculate the remainder when m(v) is divided by (3/1)/((-6)/(-4)).
1
Suppose 5*z + 6 - 21 = 0. Suppose -z = -o + 6. Calculate the remainder when -5*8/(-15)*6 is divided by o.
7
Let h = -4 + 6. Let p(b) = 4*b**2 + 2*b + 1. Let n = 12 + -1. What is the remainder when p(h) is divided by n?
10
What is the remainder when 7 is divided by ((-72)/60)/(2/(-5))?
1
Let y = 64 + -45. Suppose 5*p = -d + 27, -3*d + 2*d + 19 = 3*p. What is the remainder when y is divided by d?
5
Let n(j) = -j**2 - 4*j. Let s be n(-4). Suppose 5 = -s*m + m. Suppose -x = 3*u - m, -x - 26 = -3*x + 2*u. What is the remainder when 21 is divided by x?
10
Let r = -7 - -4. Let i = 0 - -2. Calculate the remainder when i is divided by (-2)/r - 1/(-3).
0
Let t(w) = -w**3 + 9*w**2 + 3*w - 12. Let q(v) be the first derivative of -v**2/2 + 4*v + 3. Calculate the remainder when t(9) is divided by q(-5).
6
Suppose 0 = 2*p + 3*p. Suppose 2*g + p = -8. Let d(f) = f**3 + 5*f**2 - 5. What is the remainder when d(g) is divided by 6?
5
Let n be 62/8 - 3/(-12). Let g be (n/6)/((-2)/(-3)). Suppose g*r - 5*r = -39. Calculate the remainder when 23 is divided by r.
10
Suppose -f + 2*t = -2*t - 5, 12 = f + 3*t. Calculate the remainder when 51 is divided by f.
6
Let k = -18 + 49. Suppose -3*u + 30 = 3*y, -5*u - 5*y + 2*y + 46 = 0. What is the remainder when k is divided by u?
7
Let h(i) = i + 7*i - 6 + 0*i**2 - i**2. Suppose 2*x + 15 = 5*x. Calculate the remainder when 16 is divided by h(x).
7
Let y = 3 + 0. Suppose 2*w + y*w - 2*h + 34 = 0, 16 = -2*w + 2*h. Let u(i) = i**3 + 6*i**2 - 2*i - 4. Calculate the remainder when 15 is divided by u(w).
7
Let l(t) = -t**2 - 4*t - 1. Suppose 5*n + 20 = -0*n. Let s be l(n). Calculate the remainder when 13 is divided by 10/2 - (s - -1).
3
Let k(o) = -2*o - 4. Suppose 0 = 4*m - n - 72, n + 17 = 2*m - 19. What is the remainder when m is divided by k(-7)?
8
Suppose 0*w = 2*w - 4. Suppose 5*j - v + 36 = w*v, 0 = 5*v + 15. Let u = 13 + j. What is the remainder when u is divided by 2?
0
Suppose -3*z = -0*z + 2*f - 4, 0 = -z - 4*f - 2. What is the remainder when (z - 3)/(3/(-129)) is divided by 15?
13
Let b be 3/7 - (-221)/(-91). What is the remainder when 0 - 8/b - -40 is divided by 15?
14
Calculate the remainder when 2/(5 - 616/124) is divided by 22.
18
Let u = 56 - 38. What is the remainder when u is divided by 69/15 - (-6)/15?
3
What is the remainder when 16 is divided by (18/(-2))/(-3) + 4?
2
Suppose -5*s = -s - 32. Let h = -6 + s. Suppose 5*i - 6 = -4*n, 3*n = -h*i + 4*n + 5. What is the remainder when i is divided by 2?
0
Suppose -4 = v - 9. Calculate the remainder when 17 is divided by v.
2
Let y(d) = d**3 - 2*d**2 - 5*d - 5. Let u(z) = z**2 + 1. Let l(g) = -2*u(g) - y(g). Suppose 14 = 2*i - 18. What is the remainder when l(-4) is divided by i?
15
Let y(i) = -i**2 + 5*i - 2. Let t be y(3). Let d(a) = -a**3 + 6*a**2 - 6*a + 4. What is the remainder when 1 - 2 - (-33 + -1) is divided by d(t)?
9
Suppose y - 2 = -y. Suppose -q = -y - 0. Calculate the remainder when 1 is divided by q.
0
Suppose 5*u - 7*o = -2*o + 90, 2*o - 10 = 0. Suppose -5 = -4*t + 267. Calculate the remainder when t is divided by u.
22
Let b(i) = -i**3 - 8*i**2 - 4*i - 11. Suppose -n + 234 = -0*n. Suppose n = 5*h - 71. What is the remainder when h is divided by b(-8)?
19
Suppose 2*y - 125 = -3*y + 2*h, -3*h - 107 = -4*y. What is the remainder when y is divided by 6?
5
What is the remainder when 188/(-6)*48/(-32) is divided by 25?
22
Calculate the remainder when 122 is divided by 12/20 - (-488)/20.
22
Let r(b) = -b**2 - 8*b + 13. Let x be r(-9). Suppose -13 = -x*u + 3. What is the remainder when u is divided by 2?
0
Let g be (288/40)/((-1)/(-5)). Suppose -5*v + g = -4*p, -4*v - p + 20 = -13. What is the remainder when 29 is divided by v?
5
Suppose 0 = 4*r + 2 - 34. Suppose -o + 30 = -0*o. Calculate the remainder when o is divided by r.
6
Suppose 0 = h + h - 54. What is the remainder when h is divided by 14?
13
Let a = 18 - 13. Suppose 4*k + k = -a*s, 3*s + k - 6 = 0. Suppose 2*m = -4*x