(y) = 3 + 0*y**2 - 2*y**2 + 7*y - 2*y**2 + 3*y**2. Let f(u) = 24*u. What is the remainder when f(1) is divided by r(6)?
6
Let z(j) = j**2 - 51*j - 16. Calculate the remainder when z(57) is divided by 55.
51
Let m(v) = 3*v + 4. Calculate the remainder when 54 is divided by m(4).
6
Calculate the remainder when (398 - 0/9)/2 is divided by 32.
7
Suppose 0 = -6*c + 73 + 5. Calculate the remainder when 24 is divided by c.
11
Suppose 0 = f + 10*f + 11. Suppose r - 5*r = -32. Let q = f + r. Calculate the remainder when 17 is divided by q.
3
Suppose -2*n - 18 = 2. Let u be 2/4 + 5/n. Suppose 4*z - 39 - 9 = u. Calculate the remainder when 21 is divided by z.
9
Suppose -91 = -7*k - 0*k. Calculate the remainder when 50 is divided by k.
11
Let m(f) = -21*f. Suppose 0 = 4*i - 4*a - 76, 20 = 5*i + 4*a - 30. Let k(y) = y**2 - 9*y + 11. What is the remainder when k(i) is divided by m(-1)?
18
Let f(g) = 5*g - 1. What is the remainder when f(11) is divided by ((-1)/12)/(4/(-12))*76?
16
Let o(m) = m**3 - 8*m**2 + 3. Let t be o(8). What is the remainder when (165 + -2)/(t + -2) is divided by 33?
31
Let b(h) = h**3 + 7*h**2 + 4. Let a = -1700 - -1859. What is the remainder when a is divided by b(-6)?
39
Let b(y) = y**2 - 2*y - 2. Let l be b(-4). Let c = -14 + l. Calculate the remainder when c is divided by (-6)/((-8)/(3 + 1)).
2
Let f(k) = k**3 - k**2 + 36. What is the remainder when 71 is divided by f(0)?
35
Suppose 0 = -2*u + 4, -4*q - 4*u = -0 + 56. Let v be (-50)/q - (-2)/(-16). Calculate the remainder when 17 is divided by v + 1 - (3 + -4).
2
Let o be ((-10)/20)/((-1)/2) - 1. Suppose o = 4*g + g - 90. What is the remainder when 68 is divided by g?
14
What is the remainder when 691 is divided by -2*7/(-21) + 291/9?
31
Suppose -6*k = -0*k - 24. Suppose 12*z - k*g = 15*z - 100, z = -4*g + 36. Calculate the remainder when 47 is divided by z.
15
Let g(z) = z**3 - 7*z**2 - 5*z - 11. Let c = -14 - -89. Let y = c - 52. What is the remainder when y is divided by g(8)?
10
Let d = -128 - -131. Let o(m) = 5*m - 3. What is the remainder when 70 is divided by o(d)?
10
Let b(a) = 4*a**2 + 98*a + 52. Let l = -8 - -9. Calculate the remainder when b(-24) is divided by l.
0
Let m(h) = h**2 + 2*h - 10. Calculate the remainder when m(-10) is divided by 25.
20
Let x = 400 - 327. Calculate the remainder when x is divided by 10.
3
Suppose -x - 102 = -3*x. Suppose 345*a - 5631 = 3339. Calculate the remainder when x is divided by a.
25
Suppose 24*u - 975 = 11*u. Calculate the remainder when u is divided by 13.
10
Let f(j) = 34*j - 214. Let n = -2 - -4. Suppose 150 = n*d + 3*d. What is the remainder when f(8) is divided by d?
28
Let w = -31 + 29. Let b(t) = -2*t**3 - 2*t**2 + t + 1. Calculate the remainder when 19 is divided by b(w).
5
Let w = 2 - 4. Let b be 7*((9 - w) + -3). Suppose 0 = 15*h - 11*h - b. Calculate the remainder when 54 is divided by h.
12
Let a = -1632 + 2367. Calculate the remainder when a is divided by 19.
13
Suppose -173*o + 194*o - 2352 = 0. Calculate the remainder when o is divided by 12.
4
Suppose 3*x = 9, 19*i - 21*i + 85 = -3*x. What is the remainder when 273 is divided by i?
38
Let j(a) = -2*a**2 - 22*a - 4. Let b(k) = 3*k**2 + 43*k + 8. Let z(x) = 3*b(x) + 5*j(x). What is the remainder when z(15) is divided by 22?
20
Let p be (-3 - (-7)/4)/((-1)/4). Suppose -p*b - 3 = -4*g + 46, -7 = -g - 4*b. Calculate the remainder when 31 is divided by g.
9
Suppose -2*g = u - 16, -u - 56 = -6*u - 2*g. Suppose 4*i - u = 2*i. Calculate the remainder when 14 is divided by i.
4
Suppose 12*t - 14*t - 4626 = 0. What is the remainder when t/(-54) - (-1)/6 is divided by 16?
11
Suppose -2*a + 62 = -4*b - 0*b, -3*a - b + 128 = 0. What is the remainder when a is divided by 28?
13
Let t(w) = -w - 6. Let v be t(-10). Suppose 0 = -2*d - q + 21 + 40, -58 = -2*d - v*q. Calculate the remainder when d is divided by 8.
7
Let f(v) = v. Suppose 3*w = 16 + 2. What is the remainder when -6 + 252/15 + 1/5 is divided by f(w)?
5
Let i(g) = 2*g**3 - 4*g**2 + 5*g - 4. Let y be i(3). Let d = y + -23. What is the remainder when 14 is divided by d?
2
Suppose 5*g = -5*s + 235, 2*s + 3*g - 6*g = 69. What is the remainder when 459 is divided by s?
39
Let l = 393 + -226. Calculate the remainder when l is divided by 52.
11
Let c(g) = g**2 - g + 2. Let y be c(0). Let a = -388 - -404. What is the remainder when ((-1)/y)/(4/(-488)) is divided by a?
13
Let j(f) = 3*f**2 - 6*f - 4. Let n be j(3). Suppose n*s - 75 = g + 4*g, -5*s - 5*g + 105 = 0. What is the remainder when 70 is divided by s?
16
Suppose 4*a = 31 + 21. Let b(d) = d**2 - 10*d - 6. Calculate the remainder when b(a) is divided by 7.
5
Calculate the remainder when (((-25)/10)/(-5))/(7/1022) is divided by 27.
19
Let r be (510/45)/(4/114). Suppose 0 = -10*k - 73 + r. What is the remainder when k is divided by 10?
5
Suppose 6*u + 214 = 7*u - d, -5*d = -4*u + 861. What is the remainder when u is divided by 121?
88
Let p(d) = -78*d - 4. Let c be p(-3). Suppose -4*t = t - c. Let x = t + -18. What is the remainder when 109 is divided by x?
25
Suppose -3*f = -0*o + 4*o - 139, 5*o + 2*f - 179 = 0. What is the remainder when o is divided by 11?
4
Suppose -3040 = -37*h - 58*h. What is the remainder when h is divided by 17?
15
Suppose -15 - 23 = 5*o + 2*d, 0 = -3*d - 12. Suppose -f + 4 = 3*t, -52 = 19*f - 20*f + 5*t. Calculate the remainder when f is divided by (-50)/o + 2/(-6).
6
Suppose 5*z - 81 = 6*n - 7*n, 317 = 5*n + 3*z. What is the remainder when n is divided by 31?
30
Suppose -19*l = -30*l + 253. What is the remainder when l is divided by 4?
3
Let x = -450 + 503. Calculate the remainder when x is divided by 15.
8
Let h = 100 + -182. Let n = -47 - h. What is the remainder when 137 is divided by n?
32
Let c(d) be the first derivative of d**4/4 - 25*d**3/3 + 13*d**2 + 2*d + 16. Let p(b) = 18*b - 1. What is the remainder when c(24) is divided by p(1)?
16
Suppose -6*p - 330 = -9*p. Let s = p + -106. Let a = -15 - -21. What is the remainder when a is divided by s?
2
Suppose -2*u - 11 + 3 = 0. Let c(h) = -6*h - 6. What is the remainder when 69 is divided by c(u)?
15
Suppose -2*r - 46 = -a, 4*a - 8*a + 3*r = -169. What is the remainder when 277 is divided by a?
37
What is the remainder when 693 is divided by (-135)/15 + (-500)/(-4)?
113
Suppose 119*a = 118*a + 198. What is the remainder when a is divided by 10?
8
Suppose 43 = -4*q + 2*c + 131, 3*q - 4*c = 76. What is the remainder when q is divided by 11?
9
Suppose 5*x + 5*k - 260 = 0, 60*x - 61*x = -2*k - 67. What is the remainder when 103 is divided by x?
46
Let i(x) = x + 20. Suppose -5*n + 4 = -3*n. Suppose -n*d + d = -47. Calculate the remainder when d is divided by i(-4).
15
Let h be ((-24)/(-2) - 4)*(-1)/(-2). Let r(w) = -w**3 + 7*w**2 - 7*w + 5. What is the remainder when r(h) is divided by 15?
10
Suppose -4*h - 39 - 29 = 4*y, -2*h - 8 = 0. Let v = -7 - y. Calculate the remainder when 9 is divided by v.
3
Suppose -663 = -75*b + 87. Calculate the remainder when 32 is divided by b.
2
Let g(t) = 19*t - 41. Let d be g(5). Suppose -k = 5*k - d. Suppose 5*v - 3*v - 50 = 2*r, -126 = -5*v + 4*r. What is the remainder when v is divided by k?
8
Suppose 0 = -h + 19*h - 72. Suppose -3*y - 2*r + 35 = 0, 3*y - 4*r + 38 - 103 = 0. Calculate the remainder when y is divided by h.
3
Suppose -148 = 14*g - 18*g. Calculate the remainder when 174 is divided by g.
26
Let b(r) = 6*r + 3. What is the remainder when (-20)/(-50) + (-1929)/(-15) is divided by b(5)?
30
Suppose 5*j + y + 2*y = 702, 5*j - 678 = 3*y. What is the remainder when j is divided by 7?
5
Suppose -2*t = 3*t - 25. Suppose -4*k + q + 10 = -18, 3*k - 21 = 5*q. Suppose -t*c + k*c = 44. Calculate the remainder when 86 is divided by c.
20
Suppose -5*z + 5*c + 825 = 0, -8*z + 10*z - 4*c - 326 = 0. What is the remainder when z is divided by 32?
7
Calculate the remainder when 211 is divided by ((-3)/(-15))/(1/345).
4
Suppose -2*f = 2*x + 4, 2*f + 7 = 4*x - 15. Suppose x*q + 3*l = -3, -3*q = l + l. Suppose q*a - 12 - 6 = 0. Calculate the remainder when 25 is divided by a.
7
Let u(z) = z**3 + 5*z**2 + 2*z - 9. Let v be u(-3). Suppose -2*y = -s + 25, 2*s + y - 46 = v*y. What is the remainder when s is divided by 11?
10
What is the remainder when ((-82)/5)/(-3*6/45) is 