. Calculate the remainder when 9 is divided by c.
4
Suppose 11*y - 489 = 380. Let r = -76 + y. Calculate the remainder when 8 is divided by r.
2
What is the remainder when ((-35)/2)/(7 + (-150)/20) is divided by 4?
3
Let g be (-520)/(-28) - (-6)/14. Let b = -19 + g. Suppose 3*r - 94 = -j, b = 6*r - 4*r - 4*j - 44. What is the remainder when r is divided by 16?
14
Let d = 48 + -45. Suppose 16 + 14 = d*m. Calculate the remainder when 36 is divided by m.
6
Let k(o) = -o**3 + o - 1. Let a(n) = -n**3 + 13*n**2 + 26*n + 6. Let f(z) = -a(z) + 2*k(z). Calculate the remainder when (-2 - 58/(-4))*2 is divided by f(-11).
11
Let c(m) = -62*m + 1. Let y be c(-4). Suppose -5*u = t + y - 695, 5*t - u = 2126. What is the remainder when t/8 - (-5)/(-20) is divided by 14?
11
Suppose 3*q = -2*m + 7*q + 68, -86 = -4*m - 2*q. What is the remainder when 58 is divided by m?
10
Let b(i) = 30*i**3 - 10*i + 9. What is the remainder when b(1) is divided by 20?
9
Let a(u) = -u**3 - 4*u**2 - u - 9. Let v be a(-4). Let g = 9 + v. Suppose -4*d + 0*t + 14 = 2*t, -4*d + 9 = -3*t. What is the remainder when g is divided by d?
1
Let i(b) = -3*b - 9. Let q(k) = 6*k + 19. Let m(r) = 5*i(r) + 2*q(r). Calculate the remainder when m(-10) is divided by ((-1 + 40)/3)/1.
10
What is the remainder when 91 - 1 - (-1 + 1) is divided by -13 + 41/((-41)/(-36))?
21
Suppose -5*y + 4*y + 2 = 0, h = 4*y + 46. Calculate the remainder when h is divided by 45.
9
Suppose 0 = -10*i - 143 + 663. What is the remainder when 253 is divided by i?
45
Let c(d) = 20*d - 1. Let t be c(1). Let u = t - 2. Calculate the remainder when u is divided by 18/9 + 3*4/3.
5
Suppose 0 = -13*h + 3332 - 953. What is the remainder when h is divided by 21?
15
Let t be 7 - 2 - 2 - -3. Suppose t*f - 70 = f. What is the remainder when ((-12)/(-4) - -37)/1 is divided by f?
12
Let t(r) = -26*r**2 - 3*r + 2. Let f be t(1). Let n be (36/f)/(1/(-3)). Let o(i) = 8*i - 16. What is the remainder when 44 is divided by o(n)?
12
Suppose -31 = -139*q + 138*q. What is the remainder when q is divided by 16?
15
Suppose -4*b + 2 = -2. What is the remainder when (648/42 - 12) + 6/(-14) is divided by b?
0
Suppose -3*y - 16 = -3*h - 5*y, 2*y + 24 = 2*h. What is the remainder when 52 is divided by h?
4
Let u = -19 + 35. What is the remainder when (24/(-8))/(1/(-20)) is divided by u?
12
Let d = 191 + 228. What is the remainder when d is divided by 15?
14
Let c(a) be the first derivative of 3*a**4 - 3*a**2 + 3*a + 25. Calculate the remainder when c(2) is divided by 23.
18
Suppose -28*d + 4363 - 443 = 0. Calculate the remainder when d is divided by 13.
10
Let s(h) = 12*h - 3. Let l = -43 - -54. What is the remainder when s(2) is divided by l?
10
Suppose 2*z + 51 + 160 = 5*i, 94 = 2*i + 4*z. What is the remainder when 126 is divided by i?
40
Let h(d) = -2*d**2 - 14*d - 28. Let v be h(-8). What is the remainder when 31 is divided by v/11*17/(-4)?
14
Suppose 0 = -3*k - 2*q + 959, q - 2*q - 1607 = -5*k. Calculate the remainder when k is divided by 36.
33
Suppose 0 = 3*x - d - 99, -2*x + 68 = -2*d + 2. Calculate the remainder when -7 + 99 + 2 + 2 is divided by x.
30
Let h = -1 + 3. Let p(s) = 2*s**3 - 2*s**2 - 2*s + 2. Suppose 15*l - 20*l = -15. What is the remainder when p(h) is divided by l?
0
Suppose -i - 39 = 5*u, -3*u + u = 5*i + 103. Let l = i + 11. Calculate the remainder when 9 is divided by ((-3)/(-2))/((-3)/l).
1
Let i(b) = -b**2 - 13*b - 1. What is the remainder when i(-7) is divided by 9?
5
Let d(s) = 6*s + 3. Let l(c) = -3*c - 1. Let v(h) = 4*d(h) + 9*l(h). What is the remainder when 34 is divided by v(-2)?
7
Let f be 612/(-20) + 9/15. Calculate the remainder when 63 is divided by (-4)/10 + (-492)/f.
15
Suppose -4*y = -12, -p = 3*p + 4*y - 28. Suppose -a = -p*a + 129. Calculate the remainder when a is divided by 15.
13
What is the remainder when 13*(276/34 + (-46)/391) is divided by (-4)/10 + (-276)/(-15)?
14
Let q(g) = 12*g**3 - 4*g + 5. Suppose -7*c = -9*c + 38. Calculate the remainder when q(2) is divided by c.
17
Let i be (-102)/(-12) - 2/4. Suppose 5*y = -4*a + 17 - i, y - 3 = -a. Calculate the remainder when 216/20 + 3/15 is divided by a.
5
Let g be (5 - 1) + 2 + -2. Let u(z) = 4*z - 8. What is the remainder when 47 is divided by u(g)?
7
Let i(n) = n**3 + 7*n**2 - 12*n - 13. Let d(q) = -q**3 + 11*q**2 - 4. Let u be d(11). What is the remainder when i(-7) is divided by u/(-1 - (-10)/12)?
23
Let f = 36 - 0. Calculate the remainder when 100 is divided by f.
28
Suppose 155 = 5*f + 5*y, -12*f + 106 = -8*f - 2*y. Calculate the remainder when 209 is divided by f.
13
What is the remainder when 2/4*-7*(-219 - -175) is divided by 8?
2
Let f(z) = -z**2 - 17*z - 20. Let w be f(-11). Let d = w - 16. What is the remainder when 117 is divided by d?
27
Let w(k) = -14*k. Let j(t) = -216*t + 1219. What is the remainder when j(5) is divided by w(-1)?
13
Suppose 0 = -2*h + 19 - 7. Suppose -h = -a + 9. What is the remainder when 44 is divided by a?
14
Suppose -136 = -4*w + 2*h, 5*w + 2*h = 5*h + 172. Calculate the remainder when (249 - -1)/((-10)/(-5)) is divided by w.
29
Suppose i - 5*z - 24 = 0, 0 = -2*z - z + 12. Let t(k) = -3*k + 3 + 0 + 3*k - 2*k. Calculate the remainder when i is divided by t(-3).
8
Let k(c) = 3*c + 2. Let l(a) = a**2 - 2*a + 1. Let o be l(2). Let x be -3 - o/((-3)/18). Calculate the remainder when k(x) is divided by 4.
3
Let t = 85 - 41. Calculate the remainder when t is divided by (45 + 3)/3 + 0.
12
Suppose 4*g + 52 = 6*g. Let i = g - 8. What is the remainder when i is divided by (4/(-4))/((-1)/12)?
6
Suppose -7*c + 12*c + 1370 = 0. What is the remainder when (1 - -3)*c/(-8) is divided by 20?
17
Let b(u) = -u**2 + 12*u - 14. Let x be b(5). Suppose 28*o - 168 = x*o. What is the remainder when o is divided by 13?
11
Let i(a) = a**3 + 9*a**2 - 20*a + 26. Calculate the remainder when (0 - 0) + 1 + 37 is divided by i(-11).
2
Suppose -6*x + 3*x = 2*s - 55, 0 = -x - 2*s + 21. What is the remainder when 52 is divided by x?
1
Suppose 1251 = 10*g - 879. Calculate the remainder when g is divided by 25.
13
Let m = 34 + -13. Let h = -7 + m. What is the remainder when 25 is divided by h?
11
Let d be 4/((-6)/3) + (7 - -89). Let a = -24 + d. Calculate the remainder when a is divided by 19.
13
Let y = 0 - 0. Suppose y = -3*h + 3*p + 9, -5*h + 2*h - 4*p = 5. What is the remainder when 38/6*3*h is divided by 11?
8
Suppose -s + 28 = 3*s. Let d be (4/s)/((-1)/(-7)). Suppose -29 = -u + d. What is the remainder when u is divided by 17?
16
Suppose k + 12 = 5*k. Suppose 4*h = -20, -2*h + k*h = -5*y + 100. Calculate the remainder when -93*6/9*-1 is divided by y.
20
Let p(i) = 33*i - 219. Calculate the remainder when 152 is divided by p(9).
74
Suppose -2*r = -d + 6, r = -d - 0*r. Suppose 10 = 4*o - 3*k, 5*o = -4*k - 1 - d. Suppose 2*l = -o + 9. Calculate the remainder when 6 is divided by l.
2
Let a be -2*1/2*-21. Let d = a + -10. Let y(p) = 10*p**2 - 116*p - 16. Calculate the remainder when y(12) is divided by d.
10
Let x(a) = -12*a**2 + 1 + 13*a**2 + 0 - 7 + 8*a. Calculate the remainder when 50 is divided by x(-10).
8
Calculate the remainder when 25 is divided by (1/6)/((-7)/(-294)).
4
Let s(p) = 24*p**2 - 2*p - 2. Calculate the remainder when s(-1) is divided by 220/18 + 2 - (-2)/(-9).
10
Suppose 5*l + 3 = -2*v + 20, 5*l - 3*v - 37 = 0. Suppose -44 - 16 = -l*r + g, 12 = r - 4*g. What is the remainder when r is divided by 6?
0
What is the remainder when 21 + (-4 - (-7 - -4)) is divided by 9 - (-6)/(-4)*(-40)/(-30)?
6
Suppose a - 4*j - 248 = -2*a, -a + 5*j + 79 = 0. Let w = 55 - 33. What is the remainder when a is divided by w?
18
Let i = -21 - -30. Suppose -j + 3*j = 0. Suppose 52 = 2*s - 4*a, 3*s + 2*s + 5*a - 55 = j. Calculate the remainder when s is divided by i.
7
Let f = -170 - -243. Let l(j) = j**2 + 13*j + 5. Calculate the remainder when f is divided by l(-14).
16
Suppose 0 = -2*j - 4*u + 154, j = 13*u - 17*u + 71. What is the remainder when 330 is divided by j?
81
Suppose 45*c = 4390 + 2810. Calculate the remainder when 1438 is divided by c.
158
Let z(l) = 60*l**3 + 3*l**2 - 3*l. Calculate the remainder when 230 is divided by z(1).
50
Suppose -5*m - 264 = -4*n + 153, 2*n + m - 191 = 0. Suppose 3*v - 5*r = n, -5 = 4*r + 11. What is the remainder