 -4*n + 45, 6 = -n + 4*t - 9. What is the remainder when u(-7) is divided by n?
3
Let o = -32 - -65. Let n = -23 + o. Suppose -32*s + 27*s = -145. Calculate the remainder when s is divided by n.
9
Suppose 2*d + 133 = 6*d + 5*x, 0 = 4*x - 4. Let i = 19 + d. Calculate the remainder when 148 is divided by i.
46
Suppose 2*s = 5*v - 66 + 5, -2*s = -4. Calculate the remainder when v is divided by 7.
6
Let g = 1 - -2. What is the remainder when (-15)/(g - 2 - 2) is divided by 3 + 5/(-1) + 11?
6
Suppose -2*h - 42 = -2*j - 2*j, -3*h = 9. Suppose 0 = -17*l + 14*l + j. What is the remainder when 18 is divided by l?
0
Suppose 0 = 5*v - v - 16. Let x(h) = h**3 - 5*h**2 + 4*h + 1. Let b be x(v). What is the remainder when 32 is divided by 2 + 0 + (b - -8)?
10
Let r(d) = -d**2 - 4*d + 4. Let s be r(-4). Let h be ((-6)/s)/((-39)/130). Suppose h*m + 2 - 42 = 0. What is the remainder when m is divided by 5?
3
Suppose -j + 2*w + 65 = -51, -3 = w. Calculate the remainder when j is divided by 35 + -1 + (-9)/(-3).
36
Suppose u = 6*u - 60. Let i be (-11)/66 + (-238)/u. Let d = i + 29. What is the remainder when 24 is divided by d?
6
Suppose -j = -5*t + 9161, 4*t - 7885 + 565 = 3*j. Calculate the remainder when t is divided by 102.
99
Let u(n) = -n + 28. Let c = 130 - 78. Suppose 5*r + c = s, 6*s - 10 = s. Calculate the remainder when u(r) is divided by 20.
18
Let d = -28 + 48. Suppose -k = -2*p - 0*k + 13, k = -5*p + 50. Let w = d + p. What is the remainder when w is divided by 10?
9
Suppose -6 = 3934*f - 3937*f. Suppose -5*n = a, 0 = -2*a - 5*n + n. Suppose -5*p + a = -10. What is the remainder when p is divided by f?
0
Let r be 18*(7/2 + 3). Let z = 184 - r. Let k = z - 48. Calculate the remainder when k is divided by 7.
5
Let r be 45/21 + -2 + 81/21. Suppose -4*d = 4 + r, -d = -2*j + 48. Calculate the remainder when j is divided by 0/(-1) + 4 + 4.
7
Let u(s) = 9*s**3 - 2*s + 1. What is the remainder when u(1) is divided by (1 + (-40)/16)*-2?
2
Let w = 12 + -3. Let t = -857 + 875. Calculate the remainder when t is divided by -1*3/(w/(-21)).
4
Suppose -69 = -2*l - 5*n, -l + 8*n - 4*n = -28. What is the remainder when l is divided by 6?
2
Suppose 0 = -5*o + 6*o - 52. What is the remainder when o is divided by ((-18)/10)/((1 + 3)/(-60))?
25
Let c = -9 - -24. Suppose k - c = w, -93 + 16 = -5*k + 4*w. Suppose v = k + 26. What is the remainder when v is divided by 15?
13
Let q be (0 - -2)*(-2 + -6). Let b = q + 13. Calculate the remainder when (1*b)/((-6)/4) is divided by 1.
0
Suppose -6*u + 150 = 19*u. Calculate the remainder when 35 is divided by u.
5
Let w = 893 + -882. Suppose 3*n - 92 = -8. What is the remainder when n is divided by w?
6
Suppose 19 = w - z, -4*w - 3*z + z + 82 = 0. Calculate the remainder when (-2)/(-6)*3 + w is divided by 8.
5
Let s = 274 - 255. What is the remainder when 37 is divided by s?
18
Let u be -6*(-3)/2 - 1. Suppose 6 = -2*a - 4*a. Calculate the remainder when (23/(-4))/(a/u) is divided by 12.
10
Suppose 636 = -4*h + 760. Suppose 3*y = -m - 2*y + 147, m - 107 = 3*y. Calculate the remainder when m is divided by h.
29
Let s = -18 - -29. Calculate the remainder when 52 is divided by ((-2 - -2) + s)*1.
8
Suppose 3*p - 107 = 37. What is the remainder when 179 is divided by p?
35
Suppose -69 - 12 = 3*m. Let i = m - -30. Suppose -i*d = 2*d - 110. Calculate the remainder when d is divided by 8.
6
Calculate the remainder when (-42)/(-4)*5*24/45 is divided by 3.
1
Suppose 4*r - 40 = -3*m, 10*r - 33 = 7*r - 3*m. What is the remainder when 12 is divided by r?
5
Let n = -316 + 335. Suppose 0 = -2*p + 5*c + 30, -5*c - 11 = 9. Calculate the remainder when n is divided by p.
4
Suppose 2*n = 5*m - 53, -4*m + n + 3 + 37 = 0. Let g = -30 - -34. Suppose -2*f = g, -3*c + 2*f = -5*c + 26. What is the remainder when c is divided by m?
6
Let b = 1760 - 1726. Calculate the remainder when 438 is divided by b.
30
Let w(v) = v**2 + 9*v + 1. What is the remainder when 109 is divided by w(-11)?
17
Suppose 5*p - 3*p = 42. Let v = -273 + 314. Calculate the remainder when v is divided by p.
20
Suppose 0 = -7*h - 60 + 165. Calculate the remainder when 46 is divided by h.
1
Let q = 126 - 11. What is the remainder when q is divided by 24?
19
Let t = -13 + 39. Let z(x) = -x**3 + 7*x**2 - 2*x - 10. Calculate the remainder when t is divided by z(6).
12
Suppose 4 = 2*l, 0 = -4*i - 0*l + 5*l + 10. Suppose 3*u = -4*k + 3475 + 1962, -4*u + 6796 = i*k. What is the remainder when 12/(-10)*k/(-24) is divided by 23?
22
Let w(l) = l**2 + 12*l + 11. Calculate the remainder when w(6) is divided by 10.
9
Let o(v) = -6*v**3 - 2*v**2 - v - 2. Let q be o(-1). Suppose -2*s - 27 = -q*i, 4*s + 13 = -5*i + 58. What is the remainder when 16 is divided by i?
7
Suppose 1 = -5*x + 16. Let p be -2 + 3/x + 4. Suppose -r - p*w - 48 = -3*r, -w = 5*r - 120. What is the remainder when 69 is divided by r?
21
Suppose q - 6*b - 33 = -2*b, -3*q + 65 = 5*b. Suppose -2*z + 255 = -3*h, 3*h = 4*z - 181 - 320. Calculate the remainder when z is divided by q.
23
Let m = 22 + 39. Let k(h) = 0*h + 2*h - 4*h + 4. What is the remainder when m is divided by k(-6)?
13
Let o(l) = -3*l - 2. Let d = 9 - 6. Suppose -7*n + d*n - 5*g = 40, -5 = 5*n - 5*g. What is the remainder when 38 is divided by o(n)?
12
Let a(z) = 4 - 3*z**2 + 7 + z**3 + 6 - 4*z - 8. Calculate the remainder when 26 is divided by a(4).
8
Let z be 155/62 - 1/2. Let w be (-20)/(-16)*(0 - -4). Suppose -3*l = -z*q - 89, w*q = -3*l - l + 111. What is the remainder when l is divided by 15?
14
Suppose -20*h = -13*h - 1148. What is the remainder when h is divided by 11?
10
Calculate the remainder when 10/35 + (-5368)/(-28) is divided by 15.
12
Let p(r) = -16*r + 1. Let u(k) = -36*k - 17. What is the remainder when u(-5) is divided by p(-2)?
31
Suppose -13*r + 319 = -2*r. Let y = 41 - r. Calculate the remainder when 58 is divided by y.
10
Let f = -318 - -411. Let c(x) be the third derivative of x**6/120 + x**5/10 + x**4/24 + 2*x**3/3 - x**2. Calculate the remainder when f is divided by c(-5).
21
Let h(r) = r - 30. Let s be h(0). Let n = 57 + s. Calculate the remainder when n is divided by 7.
6
Suppose -162*z + 157*z + 815 = 0. Suppose -2*w - 2*n = -90, -6*w + n = -w - 201. Calculate the remainder when z is divided by w.
40
Let v be (-28)/(-21) - (-11)/3. Suppose 3*x + v = 23. What is the remainder when 14 is divided by x?
2
Let n be (-6)/5*(-70)/21. Suppose -4*u - n*t = -24, 4*u + 16 = 7*u + 2*t. Suppose -y - 4*c + 14 = y, u*c = 0. Calculate the remainder when 11 is divided by y.
4
Let g(b) = b**2 + 14*b. Suppose u + 4*s + 15 = 0, 16 + 14 = -2*u - 5*s. What is the remainder when 58 is divided by g(u)?
13
Let k(n) be the second derivative of n**4/12 - 5*n**3/3 - 9*n**2/2 - 4*n. Let a be k(8). Let m = 36 + a. Calculate the remainder when 42 is divided by m.
9
Let g = 87 - 58. Suppose -g = -3*o - 3*u + 22, 73 = 4*o - u. Calculate the remainder when 70 is divided by o.
16
Suppose 4*i - 620 = -5*d + 8*i, -4*i = -4*d + 496. What is the remainder when d is divided by 64?
60
Let d(r) = -24*r - 18. Let o be d(3). Let v = o - -98. Calculate the remainder when 30 is divided by v.
6
Suppose -3*y + 8*y - 4055 = -5*r, 3*y + 12 = 0. What is the remainder when r is divided by 16?
15
Let r(g) = -g - 8. Let n(b) = b - 1. Let w(v) = -2*n(v) - r(v). What is the remainder when (57/38)/((-3)/(-28)) is divided by w(6)?
2
Let w = 24 - 10. Let u(n) = 17*n + 18. Calculate the remainder when u(3) is divided by w.
13
Let y(m) = -2*m**2 + 9*m + 5. Let z be y(7). Let p = -27 + 47. What is the remainder when (z/p)/((-3)/2) is divided by 1?
0
Suppose 2*o = -3*o + 4*z + 26, -4*o + 2*z + 16 = 0. Suppose -o*w + 31 = -0*s - s, 0 = 2*s + 6. Calculate the remainder when 55 is divided by w.
13
Let m(j) = 6*j**2 - 8*j - 12. What is the remainder when m(5) is divided by 94?
4
Let b = -53 - -79. Calculate the remainder when b is divided by 45/2*(-1)/((-55)/22).
8
Suppose -3*g + 22 - 16 = 0. Suppose 3*o = z + 2*o - 26, -g*z - 4*o = -52. What is the remainder when z is divided by 9?
8
Suppose 5*f + u - 36 - 94 = 0, -4*u - 105 = -5*f. Suppose -185 = -4*v + j, 118 = -v - 5*j + 138. What is the remainder when v is divided by f?
20
Let o(c) = -24*c - 455. Calculate the remainder when -2 - (-3)/((-6)/(-10)) i