 is the remainder when m is divided by k?
17
Suppose 11*m - 8*m - 40 = 5*b, -2 = -m - 4*b. Suppose 0*g - 4*g + 28 = p, 2*g + 228 = 5*p. Calculate the remainder when p is divided by m.
4
Let l(y) = -22*y + 739. Calculate the remainder when l(6) is divided by 32.
31
Suppose 2*z - 108 = 3*o, 0 = -3*z - 2*o - 2*o + 145. Suppose -2*h - 3*n + 33 = -0*h, 2*h = -4*n + 38. What is the remainder when z is divided by h?
6
Suppose -2*k - 4 = -0*k, 0 = -4*d + k + 58. Suppose -u - 4*y - 6 = 0, -u - y + 2*y = -d. Calculate the remainder when u is divided by 3.
1
Let d(s) = s**2 - 19*s + 101. Calculate the remainder when d(12) is divided by 4.
1
Let h(m) = m**2 - 4*m + 5. What is the remainder when 15 is divided by h(2)?
0
Suppose 5*m - 154 = 216. Calculate the remainder when m is divided by 32.
10
Let v = -389 + 680. What is the remainder when v is divided by 14?
11
What is the remainder when 60/(-150) + 322/5 is divided by 14?
8
Let p(x) be the third derivative of x**5/60 - x**4/6 + 5*x**3/2 - 3*x**2. What is the remainder when p(4) is divided by 6?
3
Let i = 191 + -102. Suppose 192 = 8*f - 240. Suppose z - 146 = -5*j + 6, 3*z + f = 2*j. Calculate the remainder when i is divided by j.
29
Let m(v) = -v**3 + 4*v**2 + 8*v - 28. Calculate the remainder when 55 is divided by m(3).
0
Let c be (3 - 3/(12/14))*-4. Calculate the remainder when -5 + c - (-156)/12 is divided by (-3)/6*(0 + -8).
2
Let o(q) = q**3 - 22*q**2 + 107*q - 11. What is the remainder when 151 is divided by o(15)?
18
Suppose 0 = p - 157 - 175. Suppose 2*k - p = -4*s, -4*s - 118 + 462 = -k. Calculate the remainder when s is divided by 22.
19
Suppose -n + 26 = -0*h - 5*h, 2*h - 52 = -2*n. Suppose -3*q = -9, 0 = i - 3*i + q - 3. Suppose a + a - n = i. Calculate the remainder when 24 is divided by a.
11
Suppose -5*p - 3*n = 32, 2*p + n + 14 = 2. What is the remainder when 255 is divided by 3 + (-4 - -2) + p + 46?
40
Let l(v) = 3*v - 1. Let r be l(1). Let t(s) = s**3 + s**2 - 3*s - 2. Calculate the remainder when 23 is divided by t(r).
3
Let z(o) = -o**3 + 9*o**2 - 4*o + 7. What is the remainder when 384 is divided by z(7)?
76
Let b = 29 - 24. Suppose b*m + 11 = 136. What is the remainder when m is divided by 7?
4
Let l = -2 + 13. Suppose l*t = -140 + 514. What is the remainder when t is divided by 14?
6
Suppose -w - 16 = 4*f - 0, -w = -3*f - 12. Let y(j) = 3*j + 33. Calculate the remainder when y(w) is divided by 7.
5
Suppose 0*v = 2*v - 8, 0 = -3*o - v + 10. Suppose 5*f - 100 = -4*d, -o*f = -4*f + 2*d + 58. What is the remainder when 45 is divided by f?
21
Let j(v) = 3*v + 1 - 2 + 5 + 4 + v**2. Calculate the remainder when 69 is divided by j(4).
33
Suppose 1344 + 1376 = 20*u. What is the remainder when u is divided by 35?
31
What is the remainder when -6 + -1 + (-76)/(-1) is divided by 22?
3
Suppose 3*j = -3*k + 1068, 0 = 5*k - 3*j - 475 - 1305. What is the remainder when k is divided by 17?
16
Let w(x) = 4*x**2 + 10*x - 40. What is the remainder when 186 is divided by w(4)?
58
Suppose v - 6*v - 3*i + 17 = 0, -v + 5*i = 19. Suppose 5*u - 2*m = 52, 3*u - 5*m - 17 = -v. What is the remainder when 19 is divided by u?
7
Let l(v) = -2*v**3 + 40*v**2 + 4*v - 40. What is the remainder when 759 is divided by l(20)?
39
Let q(u) = u**3 - 6*u**2 - 7*u - 10. Let x be q(7). Let v = x - -11. What is the remainder when 2 is divided by v?
0
Suppose -4*x = x - 30. Calculate the remainder when (-50)/70 + 248/14 is divided by x.
5
Let t(b) = 11*b**2 + 5*b + 6. Let n be t(5). Suppose 5*f = 4*k - 263, n + 27 = 5*k - 2*f. Calculate the remainder when k is divided by 14.
11
Suppose -8*a - 294 = -1286. Suppose 20 = m - 5. What is the remainder when a is divided by m?
24
Suppose -9*y = -8*y + 3*l - 26, -y + 3*l = -38. Calculate the remainder when 92 is divided by y.
28
Let b(u) = -4*u**3 - 2*u**2 - 2*u - 1. Let m be b(-1). Suppose -26 = -7*z - 89. Calculate the remainder when 7 is divided by (m/(-2))/(z/24).
3
Let b(h) = h**3 - 3*h**2 - 2*h + 2. Suppose -3*g + 73 = -4*z - 0*g, 2*g - 55 = 3*z. Let i = 23 + z. Calculate the remainder when 19 is divided by b(i).
9
Let r = -2794 - -2814. Suppose -11 = -5*n + 24. What is the remainder when r is divided by n?
6
Let a(s) = -6*s + 49. Let p(t) = t**3 + 7*t**2 + 5. Calculate the remainder when a(7) is divided by p(-7).
2
Suppose 30 = -0*j - 2*j. Let b = 33 - j. What is the remainder when b is divided by 26?
22
Let a(z) = 2*z**3 - 6*z**2 + 3*z - 3. Let k = 23 - 19. Calculate the remainder when 161 is divided by a(k).
38
Suppose 52*h = 56*h - 992. Calculate the remainder when h is divided by 25.
23
Let t(o) = 11*o - 12. Suppose 2*u - 2*m - 16 = 0, 2*u - 7*u - 3*m + 32 = 0. Calculate the remainder when t(u) is divided by 18.
11
Suppose -z - 10 + 234 = 0. Calculate the remainder when z is divided by 76.
72
Suppose 52 = 2*l - 2*g, l + 4*l - 4*g = 131. What is the remainder when l is divided by 5?
2
Let s(c) = -c**3 + 33*c**2 - 57*c - 125. Calculate the remainder when 1 - (-2 - 56) - 1 is divided by s(31).
28
Let y(g) = 4*g**2 - 13*g - 18. What is the remainder when y(-9) is divided by 61?
57
Suppose -z + 3*q + 312 = -59, 0 = -2*z + q + 717. Calculate the remainder when z is divided by 21.
20
Let d = -59 - -60. Calculate the remainder when 12 is divided by ((-20)/(-15) + 1)/(d/3).
5
Let k(p) = 2*p**2 + 21*p - 97. Calculate the remainder when 207 is divided by k(4).
17
Let l(a) = 12*a**3 - 2*a**2. Let d be l(1). Suppose 0 = 3*c - d*c + 28. Calculate the remainder when c is divided by 3.
1
Let g(o) = -o**3 + 20*o**2 + 12. Calculate the remainder when 262 is divided by g(20).
10
Suppose -96 = 2*a - 5*a. Calculate the remainder when 139 is divided by a - (0 - (4 - 8)).
27
Suppose 5*u - 11 = -1. Suppose 37 - 133 = -u*k. Calculate the remainder when k is divided by 25.
23
Let b(j) = -5*j**3 + 21*j**2 - 6*j - 2. What is the remainder when 267 is divided by b(3)?
29
Suppose -910 - 630 = -22*w. Calculate the remainder when 220 is divided by w.
10
Let i(m) = 4*m**2 - 2*m - 1. Let u be i(-1). Calculate the remainder when ((-4)/u)/2 - 5310/(-150) is divided by 13.
9
Let w(x) = 15*x - 1. Let d be w(1). Let l = -7 + d. Let b = 197 + -195. Calculate the remainder when l is divided by b.
1
Suppose 4*s + 4*l = 1133 + 3683, 5*l = 10. Calculate the remainder when s is divided by 14.
12
Suppose 5 = m - 5. What is the remainder when m is divided by 4/2 + (-2 - (-3 - 1))?
2
What is the remainder when -7*42/(-49) + 65 is divided by 51?
20
Let d(h) = -h**2 - h + 1. Let a(o) = 5*o**3 + o**2 + o - 1. Let v(x) = a(x) + 3*d(x). What is the remainder when (-48)/(-64)*944/6 is divided by v(2)?
28
Let x be -2 + (14 - 4/(-4)). Let f = x + -8. Suppose 3*t + 2*u = 19, 3*u = -f*t - 0*u + 31. Calculate the remainder when t is divided by 2.
1
Let m = -7509 + 7544. Suppose -389 - 19 = -4*j. What is the remainder when j is divided by m?
32
What is the remainder when (0 - 4)/(2/(-145)) is divided by 80?
50
Let p be (-26)/(-10) - (-16)/40. Suppose -1 = f - p. Let g = 14 - f. What is the remainder when 46 is divided by g?
10
What is the remainder when 122 is divided by (-3075)/(-99) + 6/(-99)?
29
Suppose 52 - 2848 = -6*x. What is the remainder when x is divided by 67?
64
Suppose 0*y - 10 = -3*s + 5*y, 4*s - 2*y = 18. Suppose 3*f = 3, s*a = -0*f - 3*f + 63. Calculate the remainder when 35 is divided by a.
11
Suppose -2*u + 2*k + 35 = -3*k, 5*k - 40 = -u. Suppose 6*s - u = s. What is the remainder when 10 is divided by s?
0
Let c = 249 - -576. Calculate the remainder when c is divided by 23.
20
Suppose 0 = -7*d + 218 + 293. Calculate the remainder when d is divided by 16.
9
Let j = 0 - -2. What is the remainder when j/10 + 89/5 is divided by 4/16 + 78/8?
8
Let q be 700/42 - 1/(-3). Suppose -34 = -3*s + d, -3*s - 4*d - q = -61. Let m = 17 - s. What is the remainder when 24 is divided by m?
4
Suppose 3*v + 27 = 63. What is the remainder when 83 is divided by v?
11
Let u = 348 + -245. What is the remainder when u is divided by 53?
50
Let c(u) = 13*u**2 + 3*u + 2. Suppose 2*f - 5*i = 24, 0 = -3*f + i + 2*i + 18. Calculate the remainder when c(f) is divided by 31.
29
Suppose -12 = -3*t - 21. What is the remainder when 39 is divided by ((-18)/(-12))/(t/(-30))?
9
Suppose 0 = -2*s - 2, -q - 306 = -8*q + 5*s. What is the remainder whe