) is divided by 15.
9
Suppose -r = -12*r + 44. Let q(i) = 8*i - 1. Let z be q(-2). Let a = -6 - z. Calculate the remainder when a is divided by r.
3
Let t(z) = z**3 - z**2 - 4*z. Let k be t(3). What is the remainder when 18 is divided by (k/(-8))/(8/(-128))?
6
Suppose -12*k + 8*k = -564. What is the remainder when k is divided by 21?
15
Let b(n) = 3*n - 6. Let i(r) = 17 + 4*r + r**2 + r - 19. Let w be i(-6). What is the remainder when 8 is divided by b(w)?
2
Let p = -29 + 29. Suppose -3*c - v = -p*c - 43, 4*c - 49 = -3*v. Calculate the remainder when c is divided by 9.
7
Suppose 20*a = 13*a + 35. Suppose 2*w - 54 = -a*u, -4*u - 16 = -0*u. Calculate the remainder when w is divided by 13.
11
Suppose 0 = -49*t + 4456 - 438. What is the remainder when 207 is divided by t?
43
Let n(h) = -16*h**3 + h**2 - h - 1. Let j be n(-1). Suppose -2 = -t + j. Suppose 4*u - 459 + 419 = 0. Calculate the remainder when t is divided by u.
9
Suppose -2*r + 7*r + n - 228 = 0, 0 = 5*n - 15. Suppose 0 = 5*f - 2*f - r. Calculate the remainder when 57 is divided by f.
12
Calculate the remainder when ((-1)/3)/(17/(-13413)) is divided by 44.
43
Let v = 443 + -236. Let h = v - 30. Calculate the remainder when h is divided by 36.
33
Let s(d) = 17*d + 34. Let v be s(-9). Let n = v + 152. What is the remainder when 65 is divided by n?
32
Let k = -302 - -322. Calculate the remainder when 117 is divided by k.
17
Suppose -4*g - 20 = 4*o, 2*g - 4*o - 14 = 6. Suppose g = -n + 51 + 23. Let k = 33 + -18. Calculate the remainder when n is divided by k.
14
Suppose 0 = -4*f + 5*f - d + 67, -f + 3*d = 67. Let q = f - -70. What is the remainder when q is divided by 2?
1
Let p(i) = -6*i + 296. Calculate the remainder when 48 is divided by p(45).
22
Suppose -25*z + 21*z = -184. Suppose 5*b - 3*v = 51, -3*v + 66 = 5*b - v. Calculate the remainder when z is divided by b.
10
Suppose -4*m + 34 + 4 = 2*x, -55 = -5*m + 5*x. Calculate the remainder when 108 is divided by m.
8
Suppose -3*u + 0*u + 306 = 0. Calculate the remainder when u is divided by (52/7)/(118/413).
24
Let t(u) = 2*u**2 + 9*u + 12. Let q be t(-2). Suppose -3*x + 4*m + 34 = 0, 66 = 5*x + q*m - 4*m. What is the remainder when 54 is divided by x?
12
Let b(i) = i**2 + 2*i - 6. Let m be b(-5). Suppose m*p - 8*p = 104. What is the remainder when p is divided by 7?
6
Suppose 2*p - 9*p + 994 = 0. Let b = -97 + p. What is the remainder when 178 is divided by b?
43
Suppose -15 = -2*v + 4*s + 9, -s + 66 = 4*v. What is the remainder when 45 is divided by v/((-2)/2)*-1?
13
Suppose -2*v + 21 - 3 = 2*c, -5*v + 29 = c. Suppose 0*g + v*g = 60. What is the remainder when g is divided by (7 - 21)*1/(-2)?
5
Let t = 329 + -163. What is the remainder when t is divided by 40?
6
Suppose 15*o = -541 + 1621. Calculate the remainder when o is divided by 4.
0
Let f(t) = -t**2 + 35*t - 277. Let h be f(23). Suppose 5*u - 115 - 175 = 0. What is the remainder when 3/(-6)*h*u is divided by 10?
9
What is the remainder when 103 is divided by -1*(3 - 1) + 10?
7
Let c(o) = 2*o**3 + 13*o - 25. What is the remainder when 250 is divided by c(2)?
12
Let o(m) = 101*m + 17. What is the remainder when o(2) is divided by 44?
43
Let m = 487 - 478. What is the remainder when 12 is divided by m?
3
Suppose 273 = 4*i + 17. What is the remainder when i is divided by 11?
9
Suppose -3*k - 30 = -2*n, 2*k = 3*n - 87 + 32. Calculate the remainder when 33 is divided by n.
12
Suppose -r = r - 146. Let x = -1 - -2. Calculate the remainder when r is divided by ((-23)/4 + x)*-4.
16
Suppose -66*j = -18*j - 288. What is the remainder when 8 is divided by j?
2
Let b(p) = p**3 + p**2 + 3*p. Let h be b(-3). Let t be h/3 + (-1 - -4). Let m(f) = -f**3 - 6*f**2 - 2*f - 2. What is the remainder when 18 is divided by m(t)?
8
Suppose -2*y + 18*p = 22*p - 298, -p - 4 = 0. What is the remainder when y is divided by 40?
37
Suppose -28*n = 6*n - 340. Let w = 202 - 292. Calculate the remainder when n is divided by (-4)/14 + w/(-21).
2
Let h(k) = 32*k + 11. Calculate the remainder when h(2) is divided by 17.
7
Let c = 65 + -67. Let j = c - -47. Calculate the remainder when 88 is divided by j.
43
Let v(c) = -7*c**3 + 4*c**2 + 2*c + 1. What is the remainder when v(-2) is divided by 4?
1
Suppose a - 5*m - 22 = 0, -3*m + 0 + 14 = a. Let f be 0 - 1 - 7 - 2. Calculate the remainder when 4/10 - 666/f is divided by a.
16
Calculate the remainder when 83 is divided by (2 - 1)*(20 - 7) - 5.
3
Let p = 88 - -8. Let k = -49 + p. Let s = k - 5. What is the remainder when s is divided by 9?
6
What is the remainder when 5 is divided by 4/16*144/12?
2
Let a = -2021 - -2047. Calculate the remainder when -2 + 1 + (50 - -1) is divided by a.
24
Let k = 111 - 59. What is the remainder when k is divided by 16?
4
Suppose 5*y + 1 = q - 4, q = y - 3. Calculate the remainder when (-2)/((6/135)/((-2)/6)) is divided by (y - -3) + (1 - -6).
7
Let q(j) = 13*j**2 + 7*j - 3. Let p(k) = 3*k**2 + 2*k - 1. Let y(w) = 9*p(w) - 2*q(w). Let i be y(3). Calculate the remainder when -3 + i/3*4 is divided by 6.
3
Suppose -p + 408 = 3*p - 4*y, 286 = 3*p + y. What is the remainder when p is divided by 27?
16
Suppose 0 = -8*x - 60 + 108. What is the remainder when 423 is divided by x?
3
Let t(q) = 6*q - 72. Calculate the remainder when 140 is divided by t(16).
20
Suppose 0 = 5*c + l - 86, -2*c + 27 = 3*l + 3. What is the remainder when c is divided by 7?
4
Let d = -1200 - -1302. What is the remainder when 289 is divided by d?
85
Let b(x) = 3*x**3 + x**2 + x. What is the remainder when 40 is divided by b(1)?
0
Let a(s) = s + 59. Suppose -103*x + 44*x + 1239 = 0. What is the remainder when a(0) is divided by x?
17
Suppose 2*s = -2*y - 12, 3*s + 0*s - 4*y = 17. Let f = s - -1. Suppose -2*a + 5 - 1 = f. What is the remainder when 4 is divided by a?
0
Suppose 2*f = -2*h + 35 + 1, -4*h - 2*f + 82 = 0. Suppose 3*r - 5 = 2*g + 2*g, 12 = -4*r - 4*g. Calculate the remainder when h is divided by 11 - (-10)/(r + 6).
10
Suppose 2*x - 5*n - 18 = 0, -5*n - 12 = -x - n. Suppose 2*w = -l + 3*l - 16, l - x*w = 14. Let o = 1841 + -1832. What is the remainder when o is divided by l?
3
Suppose -33*v + 12*v + 798 = 0. What is the remainder when 104 is divided by v?
28
Let n be 3 + (-94)/(-6 + 4). Suppose 5*u = -2 + 17. Suppose -2*l = u*l - n. What is the remainder when 49 is divided by l?
9
Let o(g) = g**3 + 15*g**2 + 16*g + 16. Let f be o(-11). Suppose -f - 231 = -b. Suppose 0 = -w - 4*w + b. What is the remainder when w is divided by 28?
27
Let y(l) = -l**3 - 8*l**2 - 14*l - 39. What is the remainder when 1128 is divided by y(-7)?
8
Calculate the remainder when -2*(-6)/3 - -328 is divided by 9.
8
Let i(v) = 2*v**2 - 3*v - 2. Let b be -1 - (0 + 8/(-12)*15). Suppose -b*z - 23 = -10*z. What is the remainder when z is divided by i(3)?
2
Suppose 5*w + 68 = c, w - 144 = -3*c - 4*w. Suppose -22 = -u - 5*a, c = 3*u + 3*a - a. Let k = 0 + u. Calculate the remainder when 50 is divided by k.
16
Suppose 3*v = 5*v + 6. Let z be 1/(v/(-12)) + -1. Suppose z*s = 16 + 122. Calculate the remainder when s is divided by 12.
10
Suppose 0 = -30*l + 31*l - 82. What is the remainder when l is divided by 29?
24
Suppose 2*y - 23 - 51 = -3*x, 3*x = 6. Calculate the remainder when 47 is divided by y.
13
Suppose 0 = t + 3*t - 56. What is the remainder when (-54)/(-4)*(-12)/(-3) is divided by t?
12
Let c(n) = -7*n + 18. Calculate the remainder when c(-8) is divided by 7.
4
Suppose q + 5 = 0, -4*y = -15*q + 7*q - 448. Let s be (-56)/(-12) - 2/3. Suppose 105 = c + s*c. What is the remainder when y is divided by c?
18
Suppose 5 = -5*j + 25. Let t = 80 + -64. What is the remainder when 2/(-4) - (-242)/j is divided by t?
12
Suppose -4*o + 6*w = 5*w - 80, 3*w = -5*o + 117. Suppose -2*m + 104 + 16 = 0. What is the remainder when m is divided by o?
18
Let z(i) be the first derivative of -i**2 + 2*i - 5. Calculate the remainder when z(-1) is divided by (-4)/(-5) - (-6)/5.
0
Let a(d) = d**3 - 33*d**2 + 21. Suppose -171 = 5*f - 996. Calculate the remainder when f is divided by a(33).
18
Calculate the remainder when 105 is divided by 42 - 41 - (-33)/(2 - -1).
9
Suppose -69*w + 56*w = -767. What is the remainder when 216 is divided by w?
39
What is the remainder when 20 is divided by 15 + (-1 - -4)*(-34)/51?