Let l(z) = z**2 + 5*z + 4. Let r be l(-4). Let f = 15 - r. Calculate the remainder when f is divided by 9.
6
Suppose 0 = -4*x + 3*h - 9, 7*h = 3*h + 12. Suppose x = 3*l + 5*n - 1, -2*l - 2*n + 4*n = -22. What is the remainder when l is divided by 4?
3
Let l(p) be the third derivative of -p**4/24 + 5*p**3/3 + p**2. Calculate the remainder when l(6) is divided by 1.
0
Suppose 0 = x - 4*x + 9. Calculate the remainder when 8 is divided by x.
2
Let q = 23 - 19. Suppose 0*v - 4 = -2*v. What is the remainder when ((-4)/(-2))/(v/q) is divided by 3?
1
Let p(t) = -t - 2. Calculate the remainder when p(-5) is divided by 2.
1
Let y = -27 + 39. Suppose -y = -7*j + 6*j. Calculate the remainder when 34 is divided by j.
10
Let w(s) = -s**3 + 8*s**2 - 6*s - 4. What is the remainder when 14 is divided by w(7)?
2
Let g be -6*(24/(-9) - -2). Suppose -g*m = -40 - 4. Let z = -1 + 33. Calculate the remainder when z is divided by m.
10
Suppose -288 = -5*y + l, 0*l - 66 = -y + 3*l. Let t(q) = -q**3 - 4*q**2 - 5*q - 5. Calculate the remainder when y is divided by t(-4).
12
Suppose 5*j - 150 = -4*o, -30 = -2*j + j - 5*o. Calculate the remainder when 58 is divided by j.
28
Let c be 3*(0 + 2/3). Suppose -2*s - 3*w = c*s - 30, 2*w = 5*s - 49. Calculate the remainder when (-17)/2*(-14 - -12) is divided by s.
8
Let c(y) = 17*y**3 - 2*y**2 + 4*y + 1. Calculate the remainder when c(2) is divided by 35.
32
Let t = 27 + -15. Suppose -5*c + 63 = -102. Calculate the remainder when c is divided by t.
9
Let o = 25 - 15. Suppose 2*h = -0*h - 58. What is the remainder when h/(-4 + 1 - -2) is divided by o?
9
Let b(z) = z**3 + 8*z**2 + 10*z + 9. Suppose 0 = -3*l - 0*l + 156. Suppose -4*f + 12 = -0*f, -5*a + f + l = 0. What is the remainder when b(-6) is divided by a?
10
Suppose -18*a + 16*a = -154. What is the remainder when a is divided by ((-8)/(-3))/((-2)/(-15))?
17
Suppose -4*b = -2*a - 119 - 13, 0 = -3*a - 12. Let v = b - 22. Suppose -4*u + 35 + 33 = 0. What is the remainder when u is divided by v?
8
Let t(k) = 4*k - 3. Let s(l) = 12*l - 8. Let f = 6 + -3. Let i(u) = f*s(u) - 10*t(u). Calculate the remainder when i(-7) is divided by 12.
10
Suppose i = -3*d - 0*d + 729, 4*i - 972 = -4*d. Calculate the remainder when d is divided by 62.
57
Calculate the remainder when 79 is divided by (2 - (-28)/6)*3.
19
Suppose s - l = -13, 5*l - l = 5*s + 60. Let y = s + 14. Let n(m) = m**2 - m - 2. What is the remainder when n(4) is divided by y?
4
Let n(x) = 17*x + 6. What is the remainder when n(2) is divided by 15?
10
Let t = -3 + 23. What is the remainder when 37 is divided by t?
17
Let l(m) = -2*m - 9. Calculate the remainder when 48 is divided by l(-13).
14
Suppose j = 3*j + 132. Let m = j + 133. What is the remainder when m is divided by 23?
21
Suppose v = -0*v - k - 2, -4*v = 5*k + 12. Let l be 11*7/v*-2. Let n = l + 117. Calculate the remainder when n is divided by 14.
12
Suppose 0 = -5*r + 9 + 16. Suppose 2*o - 15 = -3*c, -r*o - c + 12 = -2*o. Suppose 10 = o*a - 2*a. What is the remainder when a is divided by 4?
2
Let u be (-8)/28 + (-23)/(-7). Suppose u*t - 13 - 276 = 2*r, -4*r = 8. What is the remainder when t is divided by 24?
23
Suppose 1 + 1 = r. Let o(w) = 2*w**2 - w - 2. Let z be o(r). Suppose -z*h + 127 + 9 = 0. What is the remainder when h is divided by 18?
16
Let u(q) = -q**2 - 7*q - 3. Let m be u(-6). Suppose -64 = j - m*j. Let i(y) = -y + 17. What is the remainder when j is divided by i(0)?
15
Suppose 2*f - f + 346 = c, -4*c + 1368 = 4*f. Suppose 0 = 4*i - 4*x - 280, 7*i + x = 2*i + c. Calculate the remainder when i is divided by 24.
21
Suppose 3*l + 44 = 116. What is the remainder when l is divided by 17?
7
Let i(k) = -13*k**3 + 2*k**2 + 2*k + 1. Let w be i(-1). What is the remainder when 192/w - 4/(-14) is divided by 5?
4
Suppose -3 = 5*z - 128. Calculate the remainder when z is divided by 15.
10
Let r(p) = -p**3 + 7*p**2 - 5*p + 7. Let t = 6 + 18. What is the remainder when t is divided by r(6)?
11
Let f = 4 + -3. Let k be f + 0 + (5 - 7). What is the remainder when (-2 - -38) + k + -3 is divided by 17?
15
Let w be (0 + -5)*(-16)/40. Suppose w*p = -3*k + 56, 5*p - 59 = -2*k - k. Calculate the remainder when k is divided by 10.
8
Suppose 4*n - 2*s - 3*s = 52, 2*n + s = 40. Let c = 1 + -1. What is the remainder when (1 - 2 - -35) + c is divided by n?
16
Let r(s) = s**3 - 7*s**2 + s + 4. What is the remainder when 53 is divided by r(7)?
9
Let m be 2/(6/3) - -3. Suppose 0 = -5*z - d + 123, 3*z - m*d + 21 = 104. What is the remainder when z is divided by 13?
12
Let p = 14 - 3. Let h(q) = -q**3 + 12*q**2 - 7*q - 9. Suppose 0 = 5*b + 5*w - 20, 2*b - 4*w - 56 = -2*b. Calculate the remainder when h(p) is divided by b.
8
Suppose -5*h + 168 = -h. Suppose 33 = 5*p - h. Suppose -l = -48 + p. What is the remainder when l is divided by 17?
16
Suppose -9 = 2*y - 3*y. Suppose 2*i = 6*i - 60. What is the remainder when i is divided by y?
6
Let k(n) = n**2 + n - 2. What is the remainder when k(-10) is divided by 46?
42
Suppose -12 = 3*t, 4*c + 3*t = -0*t - 4. Suppose 5 + 5 = -c*i. Let b = 8 + i. Calculate the remainder when 9 is divided by b.
0
Let z be ((-8)/(-10))/(2/5). Suppose -5*o = 3*m + 32 - 4, -4*m = o + 26. Calculate the remainder when (z/m)/(1/(-21)) is divided by 3.
1
Let t = 157 - 55. Calculate the remainder when 25 is divided by t/15 - 4/(-20).
4
Let x = -17 - -53. Suppose -p + x = -50. Suppose a + a = p. What is the remainder when a is divided by 15?
13
Let b = -27 - -43. Suppose -q + b = q. Let c(h) = -h**2 - 12*h + 3. Calculate the remainder when c(-11) is divided by q.
6
Let t = 43 - 22. Let p = 36 - t. What is the remainder when 58 is divided by p?
13
Suppose -3*g + 52 = 2*p, 101 = 5*p + 2*g - 18. Suppose 3*i - 37 = -3*n + 14, -n + 65 = 5*i. What is the remainder when p is divided by i?
11
Let f = 113 + -80. What is the remainder when f is divided by 9?
6
Suppose 0 = 4*f - 3*f. Suppose -5*s + 71 + 64 = -3*r, -3*r + s = 123. Calculate the remainder when (0 + (-1 - f))*r is divided by 14.
12
Let w(s) = 54*s**2 + 1. What is the remainder when w(1) is divided by 14?
13
Let k be 16/6 - (-6)/(-9). Suppose 5*v - 5*t = 300, -k*t - 178 = -2*v - v. Let r = 36 + -16. What is the remainder when v is divided by r?
18
Suppose -g + 11 = 3*g + 3*a, -1 = -3*g + 5*a. What is the remainder when 4/16*4 + 3 is divided by g?
0
Let x(c) = 7*c - 41. What is the remainder when 86 is divided by x(10)?
28
Suppose -17*c - 16 = -18*c. What is the remainder when 62 is divided by c?
14
Suppose 0 = 2*k - 2 - 10. What is the remainder when k is divided by 3?
0
Calculate the remainder when 97 is divided by (-330)/5*(-1)/2.
31
Suppose 3*t - 2*v - 28 = 0, -v - 6 = 2*v. Calculate the remainder when t is divided by 3.
2
Let f(d) = 2*d**2 - 7*d - 3. What is the remainder when f(7) is divided by 14?
4
Let i(r) = r**3 - 3*r**2 - 10*r - 20. Calculate the remainder when i(9) is divided by 27.
25
Suppose 2*t - 1 = 3. Let l be 3/(-2) + (-7)/(-2). Calculate the remainder when 57 is divided by 30/t*(3 - l).
12
Let t(h) = -11*h - 21. What is the remainder when t(-9) is divided by 27?
24
What is the remainder when 61 is divided by 6/3 - 33/(-3)?
9
Let y = -5 + 7. Suppose 0*k = y*k - 170. What is the remainder when k is divided by 22?
19
Let g(j) = j**3 - 5*j**2 + j - 2. What is the remainder when ((-7)/14)/(2/(-24)) is divided by g(5)?
0
Suppose 31 = h + 2. What is the remainder when 114 is divided by h?
27
Calculate the remainder when 21 is divided by 18/(-42) - 52/(-7).
0
Suppose o - 3*o = p - 181, 0 = -3*o - 3*p + 264. Calculate the remainder when o is divided by 12.
9
Let y be ((-3)/(-6))/(1/(-2)). Calculate the remainder when 11 is divided by 1 - 2/y*1.
2
Suppose 39 = -5*g + 4*k, -g + 0*k - 27 = 4*k. Calculate the remainder when 22 is divided by (g + -1)/(5/(-5)).
10
Let f(y) = 3*y + 1. Let v(a) = 6*a + 1. Let c(b) = -5*f(b) + 3*v(b). Calculate the remainder when c(6) is divided by 9.
7
Let y(n) = n**2 + 3*n + 8. Suppose -4*h + 2*h + 10 = 0. Suppose -2*f = -h - 13. What is the remainder when y(-6) is divided by f?
8
Suppose 3*t + v - 7 = 0, 5*v - 2*v = -15. Calculate the remainder when (-6)/30 + (-46)/(-5) is divided by t.
1
Suppose -270 = -5*v - 3*d, 4*v + 0*v - 216 = -d. Calculate the remainder when v is divid