by 3.
1
Let i(l) = 4*l**3 + l**2 - 2*l + 2. Let w be i(1). Suppose -2*j + 22 = j - 2*m, -m = w. Calculate the remainder when j is divided by 3.
1
Let p(t) = -4*t - 8. Suppose 7*i = 597 - 86. What is the remainder when i is divided by p(-7)?
13
Let y(c) = 2*c**3 - 2*c**2 + 5*c - 4. Let z be y(3). Suppose 2*a + 3*a - z = -4*h, -9 = -3*h. What is the remainder when a is divided by 5?
2
Suppose -3*t - 4*c - 7 = -0, 0 = 5*t - 2*c - 23. Suppose 4*b = -t*u + 178, 3*u - 285 = -2*u + 5*b. What is the remainder when u is divided by 10?
8
Let y(j) = -26*j - 21. What is the remainder when 968 is divided by y(-3)?
56
Let k(o) = o**3 + 8*o**2 - 12*o - 15. Let m be k(-9). Suppose -68 - m = -8*d. Calculate the remainder when 39 is divided by d.
9
Suppose 46*w - 15 = 43*w. Suppose w*j = -5*l + 183 - 28, 4*j + 2*l - 128 = 0. What is the remainder when j is divided by 17?
16
Calculate the remainder when 354*((-6)/(-45) + 5/25) is divided by 24.
22
Suppose -2*n + 3*z = -85, 0 = -5*n + 2*z + 2*z + 195. Suppose -896*u = -911*u + 90. What is the remainder when n is divided by u?
5
Let z = -132 - -135. Suppose -z*w + 0*w = -99. Calculate the remainder when w is divided by 18.
15
Calculate the remainder when 55 is divided by (-408)/(-30) - ((-88)/20 + 4).
13
Suppose i - 2*d - 423 = 0, 0 = 3*i - 47*d + 48*d - 1248. Calculate the remainder when i is divided by 139.
0
Let j = 1 + 1. Suppose -130*k = -75*k - 2255. Calculate the remainder when k is divided by (j - -12) + -1 + 1.
13
Let k(t) = 6*t**2 - 8*t + 1. Calculate the remainder when k(-7) is divided by 30.
21
Suppose -9*n - 55 = -4*n. Let s = 2 - n. Calculate the remainder when 45 is divided by s.
6
Let c = -39 + 43. Suppose 9 = 5*a - d - 54, 42 = c*a - 5*d. Let k = 57 + -33. Calculate the remainder when k is divided by a.
11
Suppose -3*x = 2*x + 40. Let r = x + 4. Let z(p) = -2*p**3 - 4*p**2 + 4*p - 2. What is the remainder when z(r) is divided by 16?
14
Suppose 0 = -43*r + 54*r - 33. Suppose -l + 9 = -0*l. What is the remainder when l is divided by r?
0
Let n(q) = -8*q**2 - q + 10. Suppose 5*p - 6 = 4*v, -2*v + 3 = 3*v - p. Let l = 4 - v. What is the remainder when n(0) is divided by l?
1
Suppose -84 - 76 = 5*q. Let c = 36 + q. Let r = 16 - 3. What is the remainder when r is divided by c?
1
Suppose -4*b + 28 = -0*b. Let a = 85 - 83. Suppose -72 = -a*y - y. What is the remainder when y is divided by b?
3
Let o(j) = 3*j + 11. Let l be o(-4). Let f = 102 + -48. What is the remainder when f is divided by l/((-6)/(-21))*-4?
12
Let s(i) = -6*i**2 + 66*i + 13. Let p be s(11). Suppose 4 = -3*y + 1. Let k = p + y. Calculate the remainder when 33 is divided by k.
9
Calculate the remainder when ((-104)/120*-5)/((-2)/(-30)) is divided by 54.
11
Suppose y - 4 = -9, -4*y - 68 = -4*b. Let a = b + -5. What is the remainder when a is divided by 3?
1
Let u(z) be the third derivative of z**5/12 + z**4/4 + 7*z**3/6 + z**2. Calculate the remainder when u(-4) is divided by 13.
11
Suppose -4*b + 1272 = 4*w, 0 = 4*b - 5*w - 1368 + 60. Calculate the remainder when b is divided by 109.
104
Suppose -3*j = 49*l - 45*l - 2512, -3145 = -5*l - 5*j. Calculate the remainder when l is divided by 33.
31
Suppose 54 = 7*d - 2. Calculate the remainder when 52 is divided by d.
4
Let g(l) = l**2 + 7*l - 15. Let j be g(-9). Suppose -j*a - 235 = -8*a. Calculate the remainder when a is divided by 1/(1 - (-11)/(-12)).
11
Let s be (-1*12)/(2/(-25)). Suppose -3*i = 2*i - s. Suppose i = l + l. What is the remainder when 58 is divided by l?
13
Let m = 8 - 6. Suppose m*y - 2*n = 10, 4*y - 5*n - 19 = -3. Suppose 3*p - 87 = -3*j + 8*j, 5*p - 3*j = 161. What is the remainder when p is divided by y?
7
Suppose -i - 45 = -4*i. Suppose 5*c - 2*c + 3*t - 24 = 0, -5 = -c - 4*t. What is the remainder when i is divided by c?
6
Let z(u) = -9*u**2 - 10 - 3*u**2 + 11*u**2 - 8*u. Suppose -i - 25 = 4*i. Calculate the remainder when 12 is divided by z(i).
2
Suppose f = -6 - 4. Suppose -l = r - 20, -5*r - 4*l = -6*l - 72. Let u = f + r. What is the remainder when 21 is divided by u?
3
Let k = 880 + -873. What is the remainder when 142 is divided by k?
2
Suppose -q - 3*q = 2*n - 16, 0 = -n + 2*q - 4. Suppose -16 = -n*x - 6. Let j = 13 - x. Calculate the remainder when 13 is divided by j.
5
Let g be -2*11*(-15)/(-10). Let j = g - -55. What is the remainder when 63 is divided by j?
19
Let a = 144 - 108. What is the remainder when (1*-3 - 695/(-5)) + 4 is divided by a?
32
Calculate the remainder when 41 is divided by ((-34)/4)/(-1) - 2/(-4).
5
Let p(r) = 3*r**2 + 148*r - 45. Let t = 8 - 0. What is the remainder when p(-50) is divided by t?
7
Suppose 120 = -k - 4*k. Let w be 20*-2*k/20. Suppose j = -2*j + w. What is the remainder when 30 is divided by j?
14
Suppose 0 = 2*y - 3*p - 49, -2*y - 2*y - 3*p + 107 = 0. Let o = 61 - y. Suppose 36 = 12*k - 10*k. Calculate the remainder when o is divided by k.
17
Suppose -6*v + 7*v = 18. Suppose -m = 3*m. Let h = 5 + m. Calculate the remainder when v is divided by h.
3
Suppose -2*t + 5*t + 20 = a, 4*a - 3*t = 35. Calculate the remainder when 113 is divided by a.
3
Let r be (15/3)/(1 - (-1 - -1)). Suppose -r*z = -5, u + 6 = -2*z + 57. What is the remainder when u is divided by 10?
9
Suppose 4 = -v - x, -6*x + 20 = -5*v - 3*x. Let w be (-8)/16 - 6/v. Calculate the remainder when 37 - -6 - 2/w is divided by 14.
13
Suppose 3*y - 3175 = 4*k, -7*y + 5*k - 1033 = -8*y. What is the remainder when y is divided by 48?
45
Let x(d) = -137*d - 87. Calculate the remainder when x(-2) is divided by 48.
43
Let c(f) = 23*f - 198. What is the remainder when 194 is divided by c(9)?
5
Let z(c) = -c**2 - c - 1. Let y(w) = -w. Let o(f) = 5*y(f) - 3*z(f). Calculate the remainder when o(4) is divided by 11.
10
Let j = 48 - 0. Suppose j = -3*y + 171. Calculate the remainder when y is divided by 14.
13
Suppose 0 = -3*x + 2*x + 53. Suppose 4*c = s - 12 - 25, -4*c + 14 = 2*s. What is the remainder when x is divided by s?
2
Suppose 45*u = 43*u - 2*w + 1926, 0 = -4*u - 2*w + 3856. What is the remainder when u is divided by 46?
45
Suppose -d - 511 = -598. Calculate the remainder when d is divided by 19.
11
Suppose 5*g = -3 + 13, 4 = -3*v + 5*g. Suppose 314 = 3*o + v*s, -o + 5*o = 3*s + 447. Calculate the remainder when o is divided by 28.
24
Let z be ((-26)/2)/(1*(-7)/42). Suppose y - 2*t - z = -y, 3*y - 120 = 2*t. Calculate the remainder when y is divided by 11.
9
Let i(h) = 2*h**3 - 3*h**2 + 3*h - 6. Let b be i(2). Suppose -2 = -c, -b*j = 2*c + 2*c - 320. Calculate the remainder when j is divided by 16.
14
Let p(x) = -37*x**3 + 2*x**2 - 3*x + 2. Let h be p(1). Let f = -34 - h. Let d = 3 + 0. Calculate the remainder when d is divided by f.
1
Let n(a) = -18*a + 6. Let d be n(-1). Let b = 31 - d. Let l = 26 - 3. Calculate the remainder when l is divided by b.
2
Suppose -2*d = -d - 4*m - 16, 2*d + m + 13 = 0. Let n be (-330)/(-2) - (5 + d). Suppose 5*t = 6 + n. What is the remainder when t is divided by 12?
10
Let n(r) = 14*r + 8. What is the remainder when n(3) is divided by 15?
5
Let g(r) = 15*r**2 + r + 2. Let s be g(-2). Let k = 3 + s. Calculate the remainder when k is divided by 16.
15
Let w = 69 - 117. What is the remainder when 89 is divided by (-6)/(w/68) + 3/(-2)?
5
Let s(t) = -t**3 - 6*t**2 + 11*t + 30. What is the remainder when 37 is divided by s(-7)?
1
Let k be 1 - (-683 - (-4 - -3)). Suppose -k = -5*r - l, -6*l = -3*l + 6. What is the remainder when r is divided by 20?
17
Let g = -108 + 32. Let b = 46 - g. Calculate the remainder when b is divided by 31.
29
What is the remainder when 178 is divided by 21/((-21)/(-4)) - -95?
79
Let v(b) = b**3 + b**2 - 7*b. Let t be v(4). Suppose -3*d + 8*d - 2*i = 46, 0 = 5*d + i - t. What is the remainder when 59 is divided by d?
9
Let w(f) = -f - 1. Let b(c) = -c. Let u(k) = -6*k + 21. Let j(r) = 12*b(r) - u(r). Let s(z) = j(z) + w(z). Calculate the remainder when s(-9) is divided by 22.
19
Calculate the remainder when 48 is divided by -45*-4*(-1)/(-10).
12
Suppose -4*l = -7 + 3. Calculate the remainder when 21 is divided by (-28)/(-4) - (l + -2).
5
Let l = -124 + 128. What is the remainder when 30 is divided by l?
2
Let u = 70 + -68. Suppose 0 = u*n + 3*c - 16, 5*n - 15 = -3*c + 16. What is the remainder when 13 is divided 