se 8*j = 1 + 15. Suppose -u + 3*u = -g + 18, -1 = u - j*g. Calculate the remainder when u is divided by 5.
2
Let n(g) = -g**3 - 2*g**2 - 4*g - 3. Let f be n(-7). Suppose 18*s = 8*s + f. Calculate the remainder when s is divided by 15.
12
Suppose 10*q = 20*q - 30. Suppose p = -3*w - q*p + 74, -5*w + 3*p + 162 = 0. What is the remainder when w is divided by 16?
14
Suppose -3*l - 112 = -190. Calculate the remainder when 125 is divided by l.
21
Suppose 4*t = -2*w - 4, -2*w - 4*t + 2 = -2*t. Suppose -74 = -4*l + 2*l. Calculate the remainder when l is divided by w.
1
Let u(a) = a + 13. Suppose 4*f - 5*t = -7*t + 52, 5*t + 80 = 5*f. Calculate the remainder when f is divided by u(-10).
2
Suppose -5*h = n - 150, 123 = n - 5*h - 77. Suppose 0 = 77*m + 802 - 4190. Calculate the remainder when n is divided by m.
43
Let n be (-2)/(-13) - (-22)/26. Let r = n - -5. Suppose -2*c + r*c = 44. What is the remainder when 42 is divided by c?
9
Suppose 183*h - 223*h + 1840 = 0. Suppose 2*v = -3*u + 466, -u + 424 = 5*v - 715. Calculate the remainder when v is divided by h.
43
Suppose -20*x + 13 = -19*x. Calculate the remainder when 0 + 3 - (-29 - -8) is divided by x.
11
Let t = -299 - -311. What is the remainder when (-1)/(-1) - (-19 + -2) is divided by t?
10
Let y be ((-42)/28)/((-1)/2). Calculate the remainder when (2 - y) + (5 - -53) is divided by (-1 + -5)*5/(-1).
27
Suppose r = 2*r - 5. Let t(h) = 2*h**3 - 8*h**2 + 19. Calculate the remainder when t(r) is divided by 18.
15
Suppose -89 - 1539 = -37*f. Calculate the remainder when 74 is divided by f.
30
Let i = -30 + 26. What is the remainder when (-30)/(-25)*(-230)/i is divided by 18?
15
Let c(o) = -10*o + 15. Let v be c(-5). Suppose 4*d - a = 339, 3*d - 4*a - 329 + v = 0. Suppose -5*f + 130 = 45. Calculate the remainder when d is divided by f.
16
Let g(z) = 8*z**3 + z**2 - 1. Let w be 4 + -7 + 4 + 2. Suppose w*l - 2 = 1. Calculate the remainder when 15 is divided by g(l).
7
What is the remainder when (-15818)/(-88) + 2/8 is divided by 37?
32
Suppose 0 = -c - 4*c + 170. Let l(g) = -g**3 + g**2 - g + 12. Suppose -x - x = 0. What is the remainder when c is divided by l(x)?
10
Let m(u) = -30*u - 8. Let a be m(-1). Calculate the remainder when 22 is divided by (-10)/30 + a/3.
1
Let u(j) = 52*j**2 + j. Let r = 4 + -5. Let a be u(r). Let n = -27 + a. Calculate the remainder when n is divided by 7.
3
Let m = -319 - -445. What is the remainder when m is divided by 33?
27
Suppose 0*k - 122 = 2*k. Let z = 71 + k. Let q(u) = -39*u. What is the remainder when q(-1) is divided by z?
9
Suppose -j = -137 + 127. Suppose 3*y - j = 68. What is the remainder when 1/((-1)/(-49) + 0) is divided by y?
23
Let k = 1188 - 816. Suppose -4*t = -10*t + k. What is the remainder when t is divided by 33?
29
Suppose 17*z - 3*a - 1724 = 16*z, 0 = 5*a + 25. What is the remainder when z is divided by 18?
17
Let l(q) = -2*q + 5. What is the remainder when l(-5) is divided by ((-8)/(-6))/(22/66)?
3
Let j be 20/(-15)*(-6)/(-4). Let v be 15*(12/4 + j). Let x = v - 8. Calculate the remainder when x is divided by 3.
1
Suppose -7*n + 8*n = 6. Calculate the remainder when 17 is divided by n.
5
Let g = -80 - -149. Calculate the remainder when g is divided by (-567)/(-28) - 3/12.
9
Suppose 0 = -272*i - 225*i + 57652. Calculate the remainder when i is divided by (-424)/(-14) - (-4)/(-14).
26
Suppose 2*y - 200 = -8*y. Suppose 7*t = 3*t + y. What is the remainder when 12 is divided by t?
2
Suppose -2*d - 3 + 31 = 0. Suppose -28 = -30*r + 23*r. What is the remainder when d is divided by r?
2
Suppose -x + 24 = 5*x. Let o = 14 - x. What is the remainder when 28 is divided by o?
8
Let l be (0 - (-1 + -1)) + -3. Let s be 15*l/(-9)*15. Suppose -o + 6*o = s. Calculate the remainder when 12 is divided by o.
2
Calculate the remainder when 1*45*(-4)/(-5) is divided by 23.
13
Suppose 4*w - 30 = -g, -5*w = 2*g + 5 - 50. Let f(d) = -2*d - 7. Let q be f(-5). Suppose 169 = q*z - 5. Calculate the remainder when z is divided by g.
8
Let j = 106 + -101. Calculate the remainder when 11 is divided by j.
1
Suppose -3*k - 44 = -4*k. What is the remainder when k is divided by (6 - 5)/((-12)/(-180))?
14
What is the remainder when 8/10 - (9310/(-50) - 13) is divided by 67?
66
Let m = 8 + -9. Let v = 3 + m. Let u = v - -7. What is the remainder when 24 is divided by u?
6
Suppose -2*y = 2*n - 190, -3*n + 5*y = -86 - 175. Calculate the remainder when 168 is divided by n.
76
Suppose 15*z = 12*z + 786. Suppose -z = -2*q + 3*h + 89, -3*h = q - 180. Calculate the remainder when q is divided by 9.
6
Suppose j = c + 19, -5*c - 13 = -2*j + 25. Let p = 29 - j. Let y = 17 + 11. What is the remainder when y is divided by p?
8
Suppose o + 0*c = 4*c + 70, -446 = -5*o - 4*c. Calculate the remainder when o is divided by 32.
22
Let q(y) = y**3 - 19*y**2 - 14*y - 19. Calculate the remainder when q(20) is divided by 34.
33
Let a(t) = 55*t. Let z be a(1). Let v = -22 + z. What is the remainder when v is divided by 3?
0
Let b(h) = h**2 - 6*h + 9. Let k = -23 + 23. Suppose -r + 27 - 22 = k. Calculate the remainder when 18 is divided by b(r).
2
Let r = 25 + -23. Suppose 7 = -w + 5*i, -3*w = -7*w - r*i + 60. What is the remainder when 49 is divided by w?
10
Let z(k) = k**2 - 7*k - 9. Let j be z(11). Suppose -j = g - 9. Let i = g - -53. Calculate the remainder when i is divided by 6.
3
Let o(w) be the third derivative of -w**6/120 + 3*w**5/20 + w**4/12 - 5*w**3/2 + 23*w**2. Calculate the remainder when 13 is divided by o(9).
1
Let i be (-1 - 42/(-12))*(3 + -1). Suppose -21 = 2*m - 5*m - i*f, 0 = -3*m + 2*f + 21. Let k = 25 + -14. Calculate the remainder when k is divided by m.
4
Suppose -6*u = 17*u - 828. What is the remainder when 357 is divided by u?
33
Suppose -3*y + 2*m + 470 = -116, 2*y + m - 379 = 0. What is the remainder when y is divided by 41?
28
Let a(k) = 37*k - 1. What is the remainder when a(2) is divided by -2 + 1 + 2 + 18?
16
Suppose 0 = 4*b - 19 + 87. Let a = 1 - b. What is the remainder when 6 is divided by 4/a - (-160)/90?
0
Let f be ((-2)/4)/((-1)/392). Suppose 2*q - f = -2*q. Suppose 0 = 4*l + 21 - 1, 0 = 4*z + 3*l - 85. What is the remainder when q is divided by z?
24
Suppose 0*f = f - 3. Let q(w) = 2*w**3 + 40*w**2 + 0 - 4 - 44*w**2. What is the remainder when 26 is divided by q(f)?
12
What is the remainder when 256 is divided by 4/3*1458/72?
13
Let r(n) be the third derivative of -7*n**4/24 - 3*n**3 - 6*n**2. What is the remainder when r(-12) is divided by 17?
15
Let i = 5 - 2. Suppose 3*o = -z + 99, 0*z + 5*z - 87 = -i*o. Suppose 2*d + 84 = 9*d. Calculate the remainder when o is divided by d.
10
Suppose 3*o = r - 22, -o - o - 8 = 0. Suppose 0*y + y = -4, 2*u + 2*y = 4. What is the remainder when r is divided by u?
4
Let c = -870 - -469. Let m = -184 - c. Calculate the remainder when m is divided by 20.
17
Let l = 51 - 30. Calculate the remainder when 249 is divided by l.
18
Let t be 200/15*6/4. Let g = 23 - t. What is the remainder when 10 is divided by g?
1
Let n = 1789 - 1729. What is the remainder when 118 is divided by n?
58
Let t be (2168/6)/2 - 1/(-3). Suppose c + 131 = 5*n - t, 4*n - 264 = -4*c. Let a(h) = h**2 - 2*h - 2. Calculate the remainder when n is divided by a(-5).
30
Let f = 409 + -399. Calculate the remainder when 96 is divided by f.
6
Suppose 0 = 17*w - 4*w - 312. Suppose 19*m + 45 = w*m. Let z(l) = 50*l**3 + l**2. What is the remainder when z(1) is divided by m?
6
Let p = -394 - -480. Let l(t) = -6*t + 5. Let v be (-3)/(((-27)/12)/(-3)). Calculate the remainder when p is divided by l(v).
28
Let i = -230 + -41. Let f = i + 400. Suppose 107 = 3*m + 3*s - s, -8 = -2*s. What is the remainder when f is divided by m?
30
Let s(b) = -b**3 - 5*b**2 - 3*b - 1. Suppose 0 = -h + 11*h - 3130. Suppose -h + 41 = -4*j. What is the remainder when j is divided by s(-5)?
12
Let f(j) = j**3 + 3*j**2 - 1. Let b be f(-1). Calculate the remainder when 75 is divided by b/(-1 + 60/57).
18
Suppose 3*t = 6*t - 2628. Suppose -8*f + 2*f = -t. Suppose -5*n + 3*u = 2*u - f, -3*u = -n + 18. What is the remainder when n is divided by 11?
8
Let b = -57 + 56. What is the remainder when (b - 0)*(-1 + -126) is divided by 26?
23
Let a = 22 + -14. Let o(m) = 12*m**2 - 5 - 3*m**2 + 2*m - m**3 - 6 + m.