 2*k, -2*k + 5*i + 1181 = k. Calculate the remainder when k is divided by 132.
6
Let j be (-1)/2*80/(-10). Suppose -j*k = 7 + 1, -5*m - 5*k = -125. Suppose -3*v = -126 + m. What is the remainder when v is divided by 17?
16
Suppose 0 = 4*u - 3*u - 63. Suppose 0 = -3*q + 4*t + 63, 0*q + 3*q = -4*t + u. Let k = q - 8. Calculate the remainder when k is divided by 7.
6
Let j(h) = 3*h - 3. Let z be j(7). Let u be 28/(-126) - (-3352)/z. Suppose -r - u = -4*r. What is the remainder when r is divided by 16?
14
What is the remainder when 207/(6/(36/6)) is divided by 42?
39
Suppose 4*i = -4*i + 968. Suppose 4*s - i = 51. Calculate the remainder when s is divided by 22.
21
Let l(c) = 2*c + 3. Let g be l(-5). Let t(w) = 3*w**2 + 3*w - 8. Calculate the remainder when t(g) is divided by 20.
18
Let b = -137 - -248. Let v be b/(-2)*24/(-18). Suppose 3*o = -4*i - 0*i + v, 3*o - 69 = -3*i. What is the remainder when 51 is divided by o?
15
Let n(u) = 19*u + 401. Let f(k) = k**3 - k**2 + 20. What is the remainder when n(-16) is divided by f(0)?
17
Let h = -118 - -256. Calculate the remainder when ((-4)/(-8))/(3/h) is divided by 8.
7
Let u(q) = -q**3 + 6*q**2 + 9*q - 4. Let b be u(7). Suppose 5*y - b = 20. Calculate the remainder when y is divided by 2.
0
Let w(o) = 5*o - 48. What is the remainder when 178 is divided by w(11)?
3
Suppose -3*f + 9 = -0. Calculate the remainder when 2/18 - 248/(-36) is divided by f.
1
Let v = -5040 - -5043. Calculate the remainder when 2/4*(0 - -20) is divided by v.
1
Let m = 64 - 64. Suppose 3*k - 6*k = -4*f - 178, m = -4*k - f + 269. What is the remainder when k is divided by 23?
20
Let y(d) = 6*d - 29. Suppose 11*x = 621 - 115. What is the remainder when x is divided by y(6)?
4
Let y(z) = 2*z**2 + 26*z + 90. What is the remainder when 164 is divided by y(-7)?
2
Let z(n) = -3*n**3 - 3*n - 3. Let b(f) = 2*f**2 + 5*f + 3. Suppose -3*m + 3 = 15. Calculate the remainder when z(-2) is divided by b(m).
12
Let a be (-2)/(-2)*(-10)/(-5). Suppose a*z - 2*k - 98 = 0, 0 = 5*z - 3*k - 161 - 84. What is the remainder when z is divided by 25?
24
Let m = -474 - -516. What is the remainder when 251 is divided by m?
41
Let s(v) = -20*v - 12. Suppose 13*a + 114 = 16*a. What is the remainder when s(-8) is divided by a?
34
Let w(o) = -o**3 + 6*o**2 + 29*o - 11. Calculate the remainder when 425 is divided by w(9).
5
Let i(p) = p**3 + 13*p**2 + 27*p - 8. Let a be 1 + (-4 - (3 + -6)). Suppose -d + 19 = -a*d. Calculate the remainder when i(-9) is divided by d.
16
Let z(b) = 3*b - 1. Let o be z(0). What is the remainder when 0 + (30/1 - o) is divided by 17?
14
What is the remainder when 133 is divided by 2274/34 - (-15)/(2295/18)?
66
Suppose -4*v - 8 = 0, -2*d - 3*v + 254 = -0*v. Let u = -15 - d. Calculate the remainder when 30 is divided by u/(-13) + 8/(-52).
8
Let b = -11 - -15. Suppose -b*z - q = -4*q - 35, -3*z - q = -10. Let l(n) = 2*n**2 - 13*n + 9. Calculate the remainder when l(0) is divided by z.
4
Let s = 16 + -16. Suppose s = n + 8 - 46. Suppose 5*f = 4*f + 13. Calculate the remainder when n is divided by f.
12
Let r(c) = -c**2 - 8*c. Let u be r(-8). Suppose 3*k + 3*s - 27 = u, 2*k = -3*s - 2*s + 3. What is the remainder when k is divided by 8?
6
Let r = 4623 + -4565. Let m = -2 + 5. Let c = 12 + m. What is the remainder when r is divided by c?
13
Suppose 0 = 2*c - c - o + 14, 0 = 3*c + 3*o + 66. Calculate the remainder when (-6)/c + 538/6 is divided by 31.
28
Let r(v) = v**2 + 11 - 32 - v + 12. Let p(f) = 9*f**2 + 2*f - 2. What is the remainder when p(-2) is divided by r(-4)?
8
Calculate the remainder when 622 is divided by ((-1728)/360)/(1/(-10)).
46
Let n be ((-6)/4)/(2/(-4)). What is the remainder when 338/6 + 2/n + -1 is divided by 20?
16
Suppose -3*n - 173 - 211 = 0. Suppose -183 = 2*d + d. Let z = d - n. What is the remainder when z is divided by 17?
16
Let m = -1085 - -1141. What is the remainder when 258 is divided by m?
34
Suppose -4*b + 324 = f, 39*b - 81 = 38*b - 5*f. What is the remainder when b is divided by 14?
11
Let r = 5493 + -3054. Calculate the remainder when r is divided by 122.
121
Suppose 0 = -5*h + 2*q + 66, -3*h = -0*q + q - 44. Let t be ((-21)/h)/((-2)/288). What is the remainder when 4/14 + t/28 is divided by 5?
3
Let p(o) = o**2 + 99. Suppose 25*b = 20*b. Calculate the remainder when p(b) is divided by 17.
14
Let y(b) = -8*b + 87. Suppose 6*m = m + 30. What is the remainder when y(8) is divided by m?
5
Let q = 2293 + -2222. Let g(y) = -26*y - 1. What is the remainder when q is divided by g(-1)?
21
Suppose 0 = 2*q - 2*r + 57 - 173, -3*r = 9. What is the remainder when q is divided by 10?
5
Suppose 2*l + 5*y = -2 + 33, 2*l = -4*y + 26. Let n = -2 + l. Let h(b) = 33*b**2. Calculate the remainder when h(n) is divided by 12.
9
Suppose 3*j + 3*p - 285 = -0*j, 190 = 2*j + 4*p. Suppose -j*q + 38 = -94*q. Calculate the remainder when q is divided by (-4)/14 + 447/21.
17
Suppose 298 = 8*b - 886. What is the remainder when 577 is divided by b?
133
Let r be (-3)/6*0 - -4. Suppose j - 4*j + 48 = -4*o, 5*j - 40 = r*o. What is the remainder when 112 is divided by (-4)/6 - 355/o?
20
Let s = 9 + -6. Suppose -s = -2*r - 5. Let w(x) = 47*x**2 - 3*x - 2. What is the remainder when w(r) is divided by 10?
8
Let n = -340 - -234. Let d = n + 139. Calculate the remainder when d is divided by 3.
0
Let q = 9 - -11. What is the remainder when 4 is divided by 5/(q/6)*2?
1
Suppose 0 = -d + 1 + 1, 3*d = -3*h + 117. Suppose -2 = -y + 4. Suppose 10 = -y*s + 7*s. What is the remainder when h is divided by s?
7
Suppose 36 = -5*y + 26. Let u be (-9 + 6)/(y + -1). Calculate the remainder when (-2 - -1 - u) + 13 is divided by 7.
4
Let o = 1780 + -1375. Calculate the remainder when o is divided by 3.
0
Suppose 1 - 61 = -3*x - 5*n, -n + 22 = x. What is the remainder when 96 is divided by x?
21
Let c(s) = -s**3 + 7*s**2 - 3*s - 2. Let p(i) = 11*i**3 - 2*i**2. Let q be p(2). Let a = q + -34. What is the remainder when a is divided by c(6)?
14
Let o(t) = t**3 + 21*t**2 - 27*t - 17. Let y = 27 + -49. Calculate the remainder when o(y) is divided by 16.
13
Let v = -10 + 55. Calculate the remainder when 403 is divided by v.
43
Let o(l) = l**2 - 70*l + 185. Calculate the remainder when o(68) is divided by 18.
13
Let i(u) = -4*u - 1. Let m be i(-1). Let x be (0 + -4 - -4)/3*-1. Let z = m + x. Calculate the remainder when 4 is divided by z.
1
Suppose 0 = -7*y - 190 + 309. Calculate the remainder when 129 is divided by y.
10
Suppose 0 = -5*p - 4*r - r + 1470, -5*p + 5*r = -1450. Calculate the remainder when p is divided by 49.
47
Let r be 1*-18*(-1 - -2). Let c = -18 - r. Suppose 3*f + c*f - 3*u = 21, 3*u - 3 = 0. Calculate the remainder when 31 is divided by f.
7
Suppose -3*i + 3 = m - 5*m, -4*i = -m - 17. Suppose l = 2*s + 19, 107 + 63 = i*l + 5*s. Calculate the remainder when l is divided by 6.
5
Suppose 13 = -2*d + 3*d. Suppose -d*h = -17*h + 128. Let u = -6 + h. Calculate the remainder when u is divided by 7.
5
Suppose -5*z - 210 = 4*y, z + 72 + 80 = -3*y. Let l(u) = 9*u + 6. Let w be l(9). Let c = y + w. What is the remainder when c is divided by 20?
17
Suppose 4*o - 263 = -2*m - 107, 159 = 2*m + o. Let r = -54 + m. Let w(n) = -4*n**2 + 52*n - 19. What is the remainder when w(10) is divided by r?
23
Calculate the remainder when 38 is divided by (-3 - (6 + -4)) + 50/2.
18
Suppose 1020*a = 1011*a + 117. Suppose 23 = 3*m - 52. Calculate the remainder when m is divided by a.
12
Let f(b) be the third derivative of -b**6/60 + 7*b**5/30 + 7*b**4/24 + b**3/6 + 4*b**2. Calculate the remainder when f(7) is divided by 27.
23
Let x = -434 - -617. Let i = -154 + x. What is the remainder when i is divided by (-3)/(-2 - 34/(-20))?
9
Let f be (-3 + 1)*1/((-8)/180). What is the remainder when 6/15 - (-3087)/f is divided by 8?
5
Suppose 0 = -g - 2*o + 53, 5*g = -89*o + 91*o + 229. Calculate the remainder when 121 is divided by g.
27
What is the remainder when 150 + (-1)/(3/6) is divided by 30?
28
Let m(j) = 5*j**3 - 3*j + 2. Let r be m(1). Suppose r*l + g - 125 = 0, l = 3*g - 8*g + 36. Calculate the remainder when 57 is divided by l.
26
Suppose -47 = -3*w - 2*w + 3*o, 0 = -w + 3*o + 7. Suppose -4*l + d + 25 = 0, w*l - 7*l = -4*d - 5. Calculate the remainder when 9/(-6)*26/(-3