2. Let w be n(-3). Let f be (-57)/9 - w/3. Calculate the remainder when q(f) is divided by 12.
10
Let l = 12 - 10. Suppose n - 144 = -l*n. Suppose 5*f = -k + 32, -5*k + 0*k + 4*f = -73. What is the remainder when n is divided by k?
14
Let b(o) = -8*o**3 - 3*o - 2. Let k be b(-1). Suppose -12*w + k = -11*w. Suppose 7 = -5*i + 92. What is the remainder when i is divided by w?
8
Suppose -7*n = 2*a - 4*n - 108, 2*a - n = 92. Calculate the remainder when 138 is divided by a.
42
Let r(i) = -i**3 - 6*i**2 - 4*i - 7. Let n be r(-6). Let c = -8 + n. Calculate the remainder when 4/10 - 163/(-5) is divided by c.
6
Suppose 64*m - 2263 = 7145. Calculate the remainder when m is divided by 49 - (1 + 0)*-1.
47
Let c = -776 - -855. Calculate the remainder when c is divided by 9.
7
Suppose 0*c - 54 = 2*c. Suppose -p + 206 = 4*p - 4*a, -5*a = -4*p + 172. Let m = c + p. What is the remainder when 20 is divided by m?
9
Suppose -53 = -3*s + 2*k, -4*k + 104 = -0*s + 4*s. What is the remainder when 11/4 - (-3906)/72 is divided by s?
15
Let v = 22 - 18. Let k(u) = -2*u + 5*u - v*u + 2*u. Calculate the remainder when 25 is divided by k(13).
12
Suppose -2*k - 2*k = -5*p + 159, 0 = -3*k + 2*p - 114. Calculate the remainder when 20 is divided by (-308)/66*k/14.
8
Suppose -y = 5*p - 235, 3*p - 2*y - 128 = -0. Calculate the remainder when p is divided by 6.
4
Let o be ((-4)/(-5))/((-2)/(-180)). Let r = 111 - o. What is the remainder when r is divided by 23?
16
Let i = 2493 + -2436. Calculate the remainder when 568 is divided by i.
55
Let o(r) = r**2 + 5*r - 11. Let b be o(-7). Suppose i = 3*w - 11, 15 = 2*i + b*i - w. What is the remainder when 19 is divided by i?
3
Let n = -860 - -874. Let s = 29 + -3. Calculate the remainder when s is divided by n.
12
Suppose -4*z = 4*o - z + 14, -5*o + 5*z = 0. Calculate the remainder when 29 + -1*(o - 2) is divided by 18.
15
Let r(i) = -i**2 + 12*i - 7. Let x(m) = -9 + 25*m - 4 - 3*m**2 - 1. Let h(n) = 7*r(n) - 3*x(n). What is the remainder when h(-10) is divided by 35?
33
Calculate the remainder when 11/22 - (-1078)/4 is divided by 39.
36
Suppose 5*w - 29 = 3*q - 6*q, 4*q = 2*w + 4. Suppose -m + 320 = w*m. What is the remainder when m + -1 + 0 + -3 is divided by 21?
18
Let w(n) = -3*n + 7. Let t(p) = 8*p - 20. Let d(j) = 4*t(j) + 11*w(j). What is the remainder when (-8)/4 - -29 - 4 is divided by d(-9)?
5
Let i be 16/20*(-15)/(-6). Suppose o - 18 = -i*o. Let p(h) = 27*h**3 + h**2 - h + 1. Calculate the remainder when p(1) is divided by o.
4
Let q = -17 - 16. Let p = 91 + q. Suppose 5*y + 0 - 105 = 0. What is the remainder when p is divided by y?
16
Suppose j = 5*s + 6*j - 5, 24 = 4*s - j. Suppose 3*u + 6 = s*u. Suppose 2*g + 6 - 34 = -2*i, 3*g = u*i + 42. What is the remainder when g is divided by 4?
2
Suppose 0 = -15*t + t + 560. Calculate the remainder when 113 is divided by t.
33
Let u(q) = 2*q**2 - 25*q - 141. What is the remainder when 90 is divided by u(-5)?
22
Let z(b) = b**2 - 8*b + 50. Let v = 23 + -13. What is the remainder when z(6) is divided by v?
8
Suppose 4*g + 8*n = 3*n + 543, -4*g = n - 563. Suppose 5*p + 3 + g = 0. Let w = p + 42. What is the remainder when w is divided by 5?
3
Let x = -42 + 68. Calculate the remainder when x is divided by 10.
6
Suppose -7 = -3*h + 5*g - 2, 3*h - 7 = 4*g. Suppose 0 = -5*a + 20, -a + 28 + 16 = h*w. Let n = 92 - 70. What is the remainder when n is divided by w?
6
Suppose 4*l - 30 = -5*i - 4, -l - 19 = -3*i. Suppose 3*v + 13 = 40. What is the remainder when v is divided by i?
3
Let i(j) = -j**3 + j**2 + j + 8. Let r be i(0). Let z = 10 - r. Let k(n) = -n + 12. What is the remainder when k(7) is divided by z?
1
Let i = 229 - 204. Calculate the remainder when 71 is divided by i.
21
Suppose 5*z - 144 = -504. Let a = z - -74. What is the remainder when 2 is divided by a?
0
Let u = 19 - -4. Let m be 8/((-64)/(-12))*(-8)/(-6). Suppose -20 = -3*x - m. What is the remainder when u is divided by x?
5
Let t be 87/4*40/10. Suppose -3*w - 3*k + t = 0, 0*w + 4*k + 58 = 2*w. Let g = 72 - w. Calculate the remainder when g is divided by 15.
13
Let n = 51 + -35. Let t = 87 - n. Suppose 2*u - 203 = -4*s - t, 5*s - 196 = -3*u. Calculate the remainder when u is divided by 16.
14
Suppose -20*r + 497 = -3863. Calculate the remainder when r is divided by 17.
14
Suppose 0 = q - 17 - 26. Suppose 2*y + 8 = -3*p, -2 + 5 = -y - 2*p. Let a = y + 30. What is the remainder when q is divided by a?
20
Let i = 689 + -631. What is the remainder when 460 is divided by i?
54
Let o(p) = -p**3 - 5*p**2 + 12*p - 29. Calculate the remainder when o(-8) is divided by 18.
13
Let b(l) = 48*l - 3. Let v be b(-4). Let r be v/35 + (-6)/14. Let z(c) = -4*c - 3. What is the remainder when 81 is divided by z(r)?
18
Let n = -509 - -538. Let u = -50 + 84. Suppose 0*k = 5*s - 3*k - 78, 4*k + u = 2*s. Calculate the remainder when n is divided by s.
14
Let s = -78 + 117. Suppose 3*o = -4*r + s, 2*r - 13 = -2*o + 7*o. What is the remainder when 16 is divided by r?
7
Let g = 98 - 84. What is the remainder when g is divided by 2?
0
Suppose 0 = 15*r - 19*r - 3*a + 100, 0 = 2*r + 5*a - 64. Calculate the remainder when 50 is divided by r.
6
Suppose -3*k + 156 = -5*r, 6*r - 2*r - 5*k = -130. Calculate the remainder when 22 is divided by (6/(-15))/(2 + 61/r).
10
Let t be 5 - (12/(-24) - (-6)/4). Suppose -m + 50 - 6 = -4*r, 172 = 5*m - t*r. Calculate the remainder when m is divided by 9.
5
Let g(j) = -j + 1. Let v be (6/(-10))/(2/10). Let f be g(v). Suppose -5*h = -f*w - h - 12, 0 = h - 5. What is the remainder when 8 is divided by w?
0
Suppose -241*j + 233*j = -272. Calculate the remainder when 270 is divided by j.
32
Suppose 188 = 5*m - 2*w, -2*m - 3*w = -0*m - 79. Suppose m + 14 = 2*z. Calculate the remainder when z is divided by (-63)/(5 - 12) - -6.
11
Let u = -59 + 90. Let f = 33 - 35. Calculate the remainder when u is divided by (22/1)/(2*(-1 - f)).
9
Let s(a) = 4*a**2 + 5*a + 4. Let f(x) = x**2 - x - 1. Let l(i) = 3*f(i) - s(i). Let b(o) = -o - 3. What is the remainder when l(-5) is divided by b(-5)?
0
Let t(p) = 2*p**2 - 5*p + 2. Let g be t(3). Let n(l) = l**2 - 5. Let d = -50 - -87. What is the remainder when d is divided by n(g)?
17
Calculate the remainder when 48 is divided by -45*((-264)/(-55))/(-6).
12
Let s(i) = -i**3 - 117*i**2 + 7*i + 0 + 1 + 111*i**2. Let z be s(-7). What is the remainder when z/(4/88) - 3 is divided by 10?
9
What is the remainder when (-1316)/(-20) - (-162)/(-90) is divided by 27?
10
Suppose -3*q = 0, o - 2*q + 5941 = -3*q. Let r be (-4)/14 - o/91. Suppose -3*i = -8*i + r. What is the remainder when 36 is divided by i?
10
Let u(a) = -a**2 + 22*a - 103. Suppose -2*n - 58 = -j, -67 - 63 = -2*j - 3*n. What is the remainder when j is divided by u(8)?
8
Let n(m) = m**3 - 9*m**2 + 29*m - 49. Calculate the remainder when 219 is divided by n(7).
51
Suppose 0 = 2*i - 21 - 33. Suppose u - 5*q - i = 0, -3*q - 3 = u - 6. Suppose n = w - 5*w - 15, -2*n = -2*w - 20. What is the remainder when u is divided by n?
2
Let m(l) = 5*l + 10. Let w be ((-8)/(-20))/(2/20). Suppose w*v - n - 46 = 0, -2*n + 40 = -0*v + 3*v. What is the remainder when m(7) is divided by v?
9
Let n = 152 + -136. Let j(a) = -a**2 + 2*a. Let v be j(5). Calculate the remainder when n is divided by v/9*(2 - 5).
1
Suppose 2*h + 2*h = -2*c + 46, -2*h + 81 = 3*c. Calculate the remainder when 82 is divided by c.
24
Suppose 35 = 4*w - x, 4*w = w - x + 35. Suppose 3*u = s + u - 11, s - w = u. Calculate the remainder when 15 is divided by s.
6
Let o(i) = 14*i - 131. Calculate the remainder when 273 is divided by o(11).
20
Calculate the remainder when (-381)/(-2)*(3 + (-84)/36) is divided by 24.
7
Calculate the remainder when (-216)/(-8) - 5 - -4 is divided by 14.
12
Suppose -5*s = 3*r + 12, s + 2*r + 8 = -0*s. Suppose 2*v - 62 + 42 = s. Calculate the remainder when (74/(-8))/(2/(-8)) is divided by v.
7
Let s(c) = 4*c - 2. Let o be s(8). Suppose o - 10 = 4*b. Suppose -b*t + t + 356 = 0. Calculate the remainder when t is divided by 23.
20
Suppose 0 = 3*t - z + 3*z - 25, -2*t + 4*z = -22. Let y be (65/(-10))/((-2)/4). Suppose 3*l - 32 = y. What is the remainder when l is divided by t?
6
Let d(o) = o**3 - 23*o**2 + 8. Suppose -2*s = l - 0*l - 2, 3*s - 17 = -5*l. Let b = 4