s. Let z(k) = 6*k + 52. What is the remainder when n is divided by z(-7)?
9
Suppose 2*h - 4*q = 3*h - 320, 0 = 5*h + q - 1638. Calculate the remainder when h is divided by 66.
64
Suppose 77*b = 72*b - 80. Calculate the remainder when 251 is divided by 46*(20/b)/((-5)/2).
21
Let a(s) = s + 5. Let g(z) = 5 + z + 4 - 5. Let w(d) = -5*a(d) + 6*g(d). What is the remainder when w(12) is divided by 6?
5
Let d = 178 + -155. Suppose -d*s = -26*s + 261. Calculate the remainder when s is divided by (-10 + -1)/(2/(-4)).
21
Let w = 91 - -16. Let p = w + -86. What is the remainder when 145 is divided by p?
19
Calculate the remainder when 65 is divided by 5/(-10) + (-213)/(-6).
30
Let n = -1 - -11. Let l(m) = 22*m + 104. What is the remainder when l(-3) is divided by n?
8
Let n = 234 - 164. Calculate the remainder when 342 is divided by n.
62
Let f be ((-772)/6)/(7 - (-69)/(-9)). Suppose 3*g = 2*h + 273, 0*g - f = -2*g + 5*h. What is the remainder when g is divided by (23/2)/((-2)/(-4))?
20
Let r(p) = -15*p**3 + 96*p**2 - 6*p + 2. What is the remainder when r(6) is divided by 3?
2
Let g = -4 + 5. Let o be (g - -1) + (-4)/2. Suppose o*q - 3*q = 3*z - 27, -q - 2*z = -4. Calculate the remainder when q is divided by 5.
4
Calculate the remainder when -2 - -84 - (-5 + 0 - -1) is divided by 9.
5
Let u = 1053 - 1002. Calculate the remainder when u is divided by 2.
1
Suppose -160*o = -168*o + 4224. What is the remainder when o is divided by 10?
8
Let k(i) = -i**3 + 10*i**2 + 5*i - 7. Calculate the remainder when k(-6) is divided by 34.
29
Suppose 27 - 9 = 6*s. Let f = 3 - s. Suppose c + 0*c + 4 = f, -5*h = c - 36. Calculate the remainder when 31 is divided by h.
7
Suppose -3*a = 4*m - 53, 7*a - 3*m - 18 = 4*a. What is the remainder when 87 is divided by a?
10
Suppose 2 = -2*j + 12. Calculate the remainder when j - (1 + -1 + -2) is divided by -3 - (-50)/15*3/2.
1
Let v = 4 + -8. Let c be 0/(v*3/(-6)). What is the remainder when -1 - (-3 - (25 - c)) is divided by 7?
6
Let v(y) = y**3 + 7*y**2 - 6*y - 16. Let f(j) = -24*j + 4. Calculate the remainder when f(-3) is divided by v(-7).
24
Let k(i) = 123*i - 704. What is the remainder when k(7) is divided by 69?
19
Let k(z) = -z + 4. Let g be k(6). Suppose -2*a - d + 48 - 35 = 0, 0 = -4*a + 5*d - 9. What is the remainder when 3/3*g + 15 is divided by a?
1
What is the remainder when 372 is divided by ((-276)/(-24) + -13)/((-2)/20)?
12
Let x be (126/72)/(2/24). Let a = 11 + x. What is the remainder when 101 is divided by (a + -6)/(2 - 1)?
23
Suppose -45*z - 242 = -1007. Suppose 0 = -3*p + 234 + 3. What is the remainder when p is divided by z?
11
Let h(j) = -43*j**3 + j + 3. Calculate the remainder when 100 is divided by h(-1).
10
Let g = -12 + 21. Calculate the remainder when 86 is divided by g.
5
Suppose r = -4*p + 17, p - 5*r + 0 = -1. Suppose -2*c + 2*s + 12 = -0*c, -p*c - 2*s + 48 = 0. Calculate the remainder when 67 is divided by c.
7
Let u = -53 + 70. Let s = 92 + -61. Calculate the remainder when s is divided by u.
14
Suppose -33*l - 390 = -43*l. Calculate the remainder when l is divided by 14.
11
Let p = 172 - 103. Let y = -87 - -87. Suppose 0*o - 6*o + 108 = y. Calculate the remainder when p is divided by o.
15
Let h be (-1 - -15)/((-2)/(-11)). Suppose 0 = 5*k + h + 23. Let o = 90 + k. What is the remainder when o is divided by 18?
16
Let f(z) be the second derivative of -z**4/12 + 13*z**3/6 - 2*z**2 + 3*z. Let x(b) = b**2 + 7*b - 13. Calculate the remainder when f(9) is divided by x(-10).
15
Suppose 0*y + 480 = 6*y. Suppose 5*n + 5*c - y = 0, -4*c + 23 + 13 = 2*n. Calculate the remainder when n is divided by 4.
2
Suppose -5*h + 2*h - 4*p = -502, 4*p + 890 = 5*h. Calculate the remainder when h is divided by 66.
42
Let p be 16/6*1155/(-44). What is the remainder when p*(60/25 + -4) is divided by 29?
25
Suppose 3*d - 4*c = 2*d + 32, -86 = -3*d + 2*c. What is the remainder when 51 is divided by d?
23
Let h(c) = -2*c**3 - 13*c**2 + 3*c - 5. Calculate the remainder when 89 is divided by h(-7).
20
Let c(d) = 4*d**2 + 3*d - 21. What is the remainder when c(-7) is divided by 26?
24
Let z(y) = 8*y + 265. What is the remainder when 141 is divided by z(-30)?
16
Suppose -5*k = 4*q - 40 - 156, -5*q = 2*k - 245. What is the remainder when q is divided by 8?
1
Calculate the remainder when 549 is divided by 23/(21/42*2/2).
43
Let l = 0 + -2. Let b(j) = 8*j**2 + 1. Let n(h) = -h**3 + 30*h**2 + h - 18. Calculate the remainder when b(l) is divided by n(30).
9
Suppose 8 + 7 = i. Let h(g) = -6*g**3 + 6*g**2 + 9*g + 3. What is the remainder when h(-2) is divided by i?
12
Suppose -6*v + 640 = -32. Calculate the remainder when v is divided by 30.
22
Let d(q) = q**3 - 24*q**2 + 2*q - 21. Let a = 0 + 0. Suppose a = -g - g + 212. What is the remainder when g is divided by d(24)?
25
Let q(z) = z**2 - 12*z - 18. Let t(o) = -6*o - 10. Let r be t(-4). Let w be q(r). Let c = w - -4. What is the remainder when 51 is divided by c?
9
Let h(l) = -17*l - 5. Let y(d) = d**2 - 3*d - 4. Let i be y(3). Let m be h(i). Suppose -3*w - m = -6*w. Calculate the remainder when w is divided by 8.
5
Suppose -3*q + 4*q - h - 153 = 0, 3*h - 9 = 0. Calculate the remainder when q is divided by 8.
4
Let v = 260 + -142. Suppose 5*w - 2 = v. What is the remainder when 141 is divided by w?
21
Suppose -24 = -2*r + 4*m, 6*r - 4*m = 3*r + 34. Suppose 0 = -9*x + 11*x + 42. Let j = r - x. Calculate the remainder when 121 is divided by j.
28
Suppose 0 = -37*i - 2*i + 7332. What is the remainder when i is divided by 7?
6
Let r be (-28)/(-2 + 2 + -2). Let f = r - 13. Suppose f = s - 3. What is the remainder when s is divided by 3?
1
Suppose 256 = -2*n - 4*c, 2*n - 39 = 3*c - 260. Let m = 147 + n. Calculate the remainder when m is divided by 11.
7
Suppose 2*o - 4*o + 5*z + 2027 = 0, 2*o - 3*z - 2029 = 0. What is the remainder when o is divided by 68?
64
Let y(u) = u**3 - 2*u**2 + 3*u + 3. Let i = 19 + -14. Suppose 8*d - i*d = 18. Calculate the remainder when y(3) is divided by d.
3
Suppose 2*a = 32 + 32. Let l = 262 + -255. Calculate the remainder when a is divided by l.
4
Let z(l) = -l**3 + 9*l**2 + 15*l - 9. Let q(d) = d**2 + d + 1. Let t(x) = 5*q(x) + z(x). Calculate the remainder when t(15) is divided by 24.
23
Let s(w) = -6*w + 15. What is the remainder when s(-12) is divided by 22?
21
Suppose 197 = 4*m - 23. Suppose 53*o + 62 = m*o. Calculate the remainder when 59 is divided by o.
28
Suppose 3*w - 48 = -0. Calculate the remainder when 63 is divided by w.
15
Suppose -4*d - 122*r + 118*r + 72 = 0, -d + 30 = -2*r. What is the remainder when 2265 is divided by d?
21
Let u(b) = b**2 - 5*b + 4. Let a be u(4). Suppose 5*n - 107 + 17 = a. What is the remainder when n is divided by 10?
8
Suppose -22 = 2*r - 5*h, 5*h + 7 = 27. Calculate the remainder when 83 is divided by (-3 - -17)*(r + 2).
13
What is the remainder when 131 is divided by 2 + ((-198)/(-15))/(12/30)?
26
Suppose 0 = 19*w - 287 - 283. What is the remainder when w is divided by 17?
13
Suppose 0 = 4*s - 4*p - 80, -s - 7*p + 3*p + 20 = 0. What is the remainder when 34 is divided by s?
14
Suppose -4*l - 200 = -4*j, 3*j - l = -j + 194. What is the remainder when j is divided by 29?
19
Suppose -c = 7 - 1. Let a be (-2)/4 + (-27)/c. Suppose 2*i + 0*d + 3*d - 61 = 0, -4*d = -a*i + 72. What is the remainder when i is divided by 6?
5
Suppose -6*d + 15 = -3*d. Suppose -4*x = -d*i - 32, -2*x - 2*i + 0*i = 2. What is the remainder when (126/24)/3*4 is divided by x?
1
Let z = -2697 + 4255. Calculate the remainder when z is divided by 26.
24
Suppose 0 = g + 4*w + 17 - 49, 6 = 3*w. Suppose 0*t + g = 8*t. Calculate the remainder when 6 is divided by t.
0
Suppose -22*a = -23*a + 83. Suppose 0 = -m + 51 - 28. What is the remainder when a is divided by m?
14
Suppose p = -3*p + 168. Let w = p - 25. Calculate the remainder when 65 is divided by w.
14
Suppose -6*f + 871 = 49. Let h = 196 - f. Let v = h + -8. What is the remainder when v is divided by 18?
15
Suppose 4*w = 5*f - 237, -f + 4*f - 157 = -5*w. What is the remainder when f is divided by 10?
9
Let q be 162 + (-1 - 1 - -2)*1. Suppose 62*d = 68*d - q. Calculate the remainder when 101 is divided by d.
20
What is the remainder when (48/14)/((-2)/(-21)) is divided by 2/(6/(-6)*(-8)/76)?
