n a is divided by x.
2
Let v = 7 - 11. Let a(x) = -5*x + 4. What is the remainder when a(v) is divided by 9?
6
Suppose 3*u = 2*x + 4, -2*u + 5*u + 11 = -x. Let a(i) = -5*i - 8. Calculate the remainder when a(x) is divided by 6.
5
Calculate the remainder when 167*((-12)/(-2) + -5) is divided by 19.
15
Let t = 9 + -3. Let r(n) = -n**2 + 7*n - 4. Let i be r(t). Suppose i*h + 4*a = -a - 3, -2*h - a = -17. Calculate the remainder when h is divided by 6.
5
Let g = 16 + -11. Suppose 5*b - 13 = -138. What is the remainder when (70/b)/((-2)/10) is divided by g?
4
Let w(n) be the first derivative of n**3/3 - n**2 - 8*n + 7. Calculate the remainder when 26 is divided by w(5).
5
Suppose -2*o + 4*w + 0*w + 48 = 0, 2*o - 3*w - 43 = 0. Calculate the remainder when 151 is divided by o.
11
Let y = 113 - 80. What is the remainder when y is divided by 12?
9
Let m be (4/(-6))/((-4)/66). Let h = -41 - -56. Calculate the remainder when (-2 - m/(-4))*76 is divided by h.
12
Let a(m) = -m + 2. Let w be a(0). Suppose 24 = w*t + 10. Let y(c) = 3*c**3 - c - 2. Calculate the remainder when y(2) is divided by t.
6
Suppose 11*b - 13*b + 18 = 0. What is the remainder when 14 is divided by b?
5
Let p(t) = 3 + 3*t**2 - 5*t**3 + 2*t - 3*t + 2*t + 4*t. What is the remainder when p(-2) is divided by 3/(-12) - (-186)/8?
22
What is the remainder when 24 is divided by -5*(4 + (-54)/10)?
3
Let s(k) = -3*k**3 - 3*k**2 + 2. Let c be s(-2). Let j = c + 1. Suppose -3*o = -4*o + 8. What is the remainder when j is divided by o?
7
Suppose 3*n - q = q + 129, 2*n - 4*q - 78 = 0. Calculate the remainder when n is divided by 12.
9
Let k(u) = u**3 + 12*u**2 - 29*u - 1. What is the remainder when k(-14) is divided by 11?
2
Suppose 5*p - w = -65, 4*p - 3*w + 65 = -p. Let g(n) = -6*n - 1. Let u be g(1). Let r = u - p. What is the remainder when 16 is divided by r?
4
Calculate the remainder when 34 is divided by -3 - (-3 + 18)/(-1).
10
Suppose 4 = -2*l + 4*d, -3*l - d + 2 = -3*d. Let s = -1 - -2. What is the remainder when s is divided by (3/2 + -1)*l?
0
Suppose 2*l + 2*l = 5*n - 1, 0 = 3*l - 3*n. Suppose 2*o + l = -1. Let d = 3 - o. What is the remainder when 6 is divided by d?
2
Suppose 3*i - 18 = -3*i. Let g be (-2)/(-5) - 86/(-10). Calculate the remainder when (-22)/(-3) - (-6)/g is divided by i.
2
Let u be 2 - 1 - 692/(-2). Suppose 115 = -4*j + u. Let v(o) = 4*o. Calculate the remainder when j is divided by v(5).
18
Suppose -8*j + 143 = 5*j. Calculate the remainder when 18 is divided by j.
7
Suppose 6 + 4 = 5*i. Let v = 4 + -13. Calculate the remainder when i/6 + (-78)/v is divided by 5.
4
Suppose -5*r + 0*r - 59 = 2*b, -2*b + 5*r = 29. Let p = -10 - b. Calculate the remainder when p is divided by 7.
5
Let t(q) = -10*q - 7. Calculate the remainder when 4 is divided by t(-1).
1
Let s(x) = -4*x + 1. Let f be s(-1). Suppose y - 62 = -3*b - 18, -f*b + 5*y = -100. Suppose -3*u = -u - 60. What is the remainder when u is divided by b?
14
Suppose 4*w - 51 = x, -19 = -4*w + 3*w - x. Calculate the remainder when 27 is divided by w.
13
Let j = 2 - 5. Let t = j + 8. What is the remainder when t is divided by 2?
1
Suppose 3*r + 2*r + 2*v = 10, 5 = -2*r + v. Let n(k) = r*k + 3*k**3 - 2*k**3 + 7 + 4*k**2 - 4*k - k. Calculate the remainder when n(-5) is divided by 4.
3
Suppose -4*f + 39 = -69. Let m(n) = 2*n - 3. What is the remainder when f is divided by m(5)?
6
Let p(q) = -2*q**3 - 6*q**2 - 2*q - 8. Let i be p(-6). Suppose 0 = -2*y - 3*y + i. Calculate the remainder when y is divided by 10*(-3)/2*-1.
14
Let h = 26 + -21. Suppose 62 = h*i - 23. Suppose 3*q - 35 = 112. Calculate the remainder when q is divided by i.
15
Suppose -38 = -n - 23. What is the remainder when 102 is divided by n?
12
Let t(f) = -4*f + 1. Let k be t(-1). Suppose -2*v - 93 = -k*i + 1, 4*v - 32 = -i. Suppose -n = 3*n - i. What is the remainder when n is divided by 2?
1
Let s(x) = 87*x - 1. Calculate the remainder when s(1) is divided by 22.
20
Suppose r + z = -z - 3, 4*r + 2*z = 6. Let k(f) = -3*f + f - f**r - 2*f**2 - f**2 + 4. What is the remainder when 28 is divided by k(-3)?
8
Let p(i) = 2*i**3 + 3*i - i**3 - 2*i**2 - 3*i**2. Suppose -z - 2*w = -4*w - 13, w = -3*z + 11. What is the remainder when 28 is divided by p(z)?
13
Let k(u) = u**2 - 9*u - 19. What is the remainder when 64 is divided by k(12)?
13
Suppose 0 = v - 80 + 8. Calculate the remainder when v is divided by 25.
22
Let q = 96 + -88. Calculate the remainder when 8 is divided by q.
0
Suppose -77 - 35 = -4*d - 2*c, -2*d = -c - 48. Calculate the remainder when 50 is divided by d.
24
What is the remainder when ((1 + -3)/2)/(30/(-1110)) is divided by 11?
4
Let m = 80 + -54. Let y(o) = -o**2 + 2. Let c be y(0). Suppose c*d - 14 = 2*a, 71 - 22 = 5*d + 2*a. Calculate the remainder when m is divided by d.
8
Let q be (36/(-14))/((-6)/28). What is the remainder when (15/9)/(2/q) is divided by (-1 - 3/9)*-3?
2
Calculate the remainder when (67 - (0 + -1)) + -4 is divided by 22.
20
Let n = 20 + -8. Suppose 0 = -3*u + 15, 2*u + 0*u - n = -h. What is the remainder when 2 is divided by h?
0
Suppose -8 = 2*z, 5*z = 3*t - 23 - 18. What is the remainder when 23/t + 8/(-28) is divided by 4/(-5)*(-10)/4?
1
Let l = 94 + -176. Let q = -27 - l. Calculate the remainder when q is divided by -2*1/((-2)/19).
17
Suppose 10*c - 5*c - 100 = 0. Calculate the remainder when 77 is divided by c.
17
Suppose 816 = 9*z - 219. What is the remainder when z is divided by 29?
28
Let g be (8 - 2) + 7 + -4. Calculate the remainder when (g/(-15))/((-3)/30) is divided by 4.
2
Suppose 5*y = y + 168. Suppose 5*a + 2*c - c - 133 = 0, -a - 4*c = -38. Let n = a + -15. What is the remainder when y is divided by n?
9
Let m(y) = y + 4. Let h(x) = -x**2 + 5*x + 5. Let q be h(4). Calculate the remainder when 38 is divided by m(q).
12
Suppose 8*t - 4*t - 20 = 0. Suppose -35 = -d + 4*m, d + d - t*m - 67 = 0. What is the remainder when d is divided by 16?
15
Suppose -23 = -2*j - 2*s + 7, 2*j - 4*s - 24 = 0. Calculate the remainder when 52 is divided by j.
10
Let m(a) = 5*a. Let g(p) = 10*p - 1. Let f(x) = 2*g(x) - 5*m(x). Calculate the remainder when 37 is divided by f(-3).
11
Let t be (-2)/4*0/(-2). Let k be 3 - t - 0/4. Suppose -15 = k*d - 135. Calculate the remainder when d is divided by 21.
19
Let z(a) = a**3 - 7*a**2 - 7*a + 3. Suppose b + 3*g - 17 = 0, b + g + 5 = 16. Suppose 4*o - 59 - 69 = 0. Calculate the remainder when o is divided by z(b).
10
Let u(n) = 28*n + 11. Calculate the remainder when u(2) is divided by 35.
32
Let j = 66 - 44. Suppose 2*b + 3*l - 74 = -l, -3*l = -b + j. What is the remainder when b is divided by 16?
15
Suppose 3 = 3*o - 6. Suppose 0 = -o*v + 3*c + 27, 0 = -v - v + 3*c + 17. Let k = 5 + v. Calculate the remainder when k is divided by 9.
6
Let b = 114 + -61. Suppose -2*g = -4*g - v + 44, 5*v + b = 3*g. Calculate the remainder when 60 is divided by g.
18
Let o = -14 + 14. Suppose o = 2*v - 91 + 15. Suppose -18 - 17 = -3*w + s, 0 = -4*w + 3*s + 40. What is the remainder when v is divided by w?
12
Suppose -5*f = -10*f + 220. Let q = -35 - -58. Calculate the remainder when f is divided by q.
21
Let y = -78 + 82. What is the remainder when 6 is divided by y?
2
Suppose 7*m + 97 = 321. Let r(w) = 4*w - 5. Suppose 3*a - h + 5*h - 16 = 0, -5*a + 16 = -4*h. Calculate the remainder when m is divided by r(a).
10
Let r = 11 + -19. Let z be (-11)/4 + 2/r. Calculate the remainder when 8 is divided by (-9)/(-2)*(-2)/z.
2
Let v = -18 - 21. What is the remainder when 0 + v/(-6)*2 is divided by 5?
3
Suppose -4*g + 30 = -38. Suppose 5*y - 165 = -0*y. What is the remainder when y is divided by g?
16
Suppose -3*z = -4*n - 1 - 57, -5*n = -3*z + 71. Let y = n - -33. What is the remainder when y is divided by 11?
9
Suppose -5*h + 2 + 3 = 0. Let l be ((h - 1) + -1)*-1. Calculate the remainder when 3 is divided by (0 - 0) + 1 + l.
1
Suppose -5*x + 35 = 5*n, 0 = -n - 2*n - x + 15. Suppose -4*z + 12 = -3*t, z + 0*z + n*t - 3 = 0. What is the remainder when z is divided by (-10)/(-4)*16/20?
1
Let v(c) = 4*c - 5. What is the remainder when 71 is divided by v(6)?
14
Let m = 29 - 13. What is the remainder when 62 is divided by m?
14
Let d(j) = j + 4. Let l be d(-9). Calculate the remainder when (l/(-1))/1*5 is divided by 14.
1