e remainder when 1342/((-44)/(-4)) - 7 is divided by 3?
1
Let n(o) = -o**2 - o + 68. Let k(d) = d**2 - 14*d - 5. Let x be k(17). Let v = x - 23. Calculate the remainder when n(0) is divided by v.
22
Suppose 4*g = -0*g + 48. Let t be -4 + (g - 4) - 2. Calculate the remainder when 39 is divided by t + 18*4/8.
6
Suppose 0 = 3*v - 99 - 21. What is the remainder when 437 is divided by v?
37
Let f = 261 + -257. Let h be 1*2 + (1 - 1). What is the remainder when 3 - (h + f) - -35 is divided by 9?
5
Suppose 3*o - 42 = 3*w + 5*o, 2*w = -o - 28. Let b(r) = 6*r**2 - 91*r + 22. Calculate the remainder when 4/14 + (-248)/w is divided by b(15).
4
Let w(y) = 2*y**2 + 16*y + 29. Calculate the remainder when w(-13) is divided by 10.
9
What is the remainder when (-1)/((-6)/(-8))*-3 is divided by 20/14 - (-1872)/728?
0
Suppose -a - 1 = 4*s - 10, -3*s = -3*a + 57. Calculate the remainder when 116 is divided by a.
14
Suppose -4*q = -0*q - 300. Calculate the remainder when q is divided by (1 - (4 + -29))*(-3)/(-3).
23
Suppose 73 = 2*z + 5*x, 4*z - 210 + 51 = 3*x. Let t(y) = -y**2 + 10. What is the remainder when z is divided by t(0)?
9
Suppose 4*o + 2*l - 53 = l, 2*o = 5*l + 43. Suppose o*r = 12*r + 102. Calculate the remainder when r is divided by 27.
24
Let v(p) = 4*p**3 + 128*p**2 + 4*p + 138. Let t(o) = -2*o**3 - 3*o**2. Calculate the remainder when v(-32) is divided by t(-2).
2
Let w = -23 - -27. Suppose -5*u + 22 = g, u + w*g - g + 4 = 0. Suppose -4*x = 2*s - 50, -132 = -u*s - 6*x + 3*x. Calculate the remainder when s is divided by 6.
3
Let d(p) = 4*p + 13. Let l be d(-5). Calculate the remainder when 1710/42 - 2/l is divided by 23.
18
Let o be (1 - -2) + 7/(-7). Suppose 5*s - 80 = -5*n - 0*n, -n + 16 = o*s. Calculate the remainder when 123 is divided by n.
11
Let v = -181 + 204. What is the remainder when 67 is divided by v?
21
Suppose 0 = -u - 5*d + 4, -6 = 3*u - 4*d + d. Let s be (-13 - -12)/(0 - u). Calculate the remainder when -7*(4 + -6 + s) is divided by 11.
10
Let x = -208 - -221. Let a = 287 + -197. Calculate the remainder when a is divided by x.
12
Let r be (-26 - -15)*1*-33. Suppose 13*j = -25 + r. What is the remainder when j is divided by 14?
12
Suppose 11*s - 5*s - 228 = 0. Calculate the remainder when 189 is divided by s.
37
Let d(j) = -2*j. Let q(w) = -w**2 + 11*w + 32. Let h(a) = -4*d(a) + q(a). Calculate the remainder when 297 is divided by h(18).
47
Let c(u) = -u**3 - 6*u**2 + 35*u + 221. Let n = 129 + -208. Let v = 4 - n. What is the remainder when v is divided by c(-5)?
20
Suppose 2*l + 4*a + 16 = 0, -a + 8 = -3*l - 3*a. Let z(x) = 33 - 20 - x + 0*x. What is the remainder when 51 is divided by z(l)?
12
Suppose 0 = 2*m + 2*s - 68, -5*m + 3*s + 2*s + 140 = 0. Let i = -30 + m. Calculate the remainder when (-7)/(-2) + (-3)/(-6) is divided by i.
0
Let n(y) = -3*y - 2. Let w(p) = 1. Let x(k) = -n(k) + 6*w(k). Let a be x(-7). Let q = a - -18. What is the remainder when q is divided by 3?
2
Let u(w) = -w - 48. Let t be u(-7). Let n = t - -67. Calculate the remainder when 102 is divided by n.
24
Let p(u) = 5*u. Let j(g) = 2*g + 14. Let l be j(-9). Let r(s) = -7*s + 1. Calculate the remainder when r(l) is divided by p(3).
14
Suppose b - 12 = -3*l, 3*l - 59 = 4*b - 152. Calculate the remainder when b is divided by 10.
1
Suppose 0 = -37*t - 23*t + 6420. What is the remainder when t is divided by 29?
20
Let i(z) = -9*z + 75. Calculate the remainder when i(-7) is divided by 20.
18
Suppose -11*g = -491 + 62. What is the remainder when 386 is divided by g?
35
Suppose -4*z - 31 - 1 = -2*q, 3*q = z + 38. Suppose 17*n - q = 14*n. Calculate the remainder when 13 is divided by n.
1
Suppose -6 = 5*g + v, 3*v - 5 + 1 = -4*g. Let j(r) = r**2 + 29*r - 71. Calculate the remainder when j(-33) is divided by (g/(-5))/(2/80).
13
Let a = 44 - 42. Suppose -2*p = -3*x - a*x + 135, 3*x - 5*p - 62 = 0. Calculate the remainder when x is divided by 8.
5
Let b(x) = x**3 + 5*x**2 - 7. Let y be b(-5). Let n(h) = -3*h - 8. Calculate the remainder when ((-1)/3)/(14/(-1470)) is divided by n(y).
9
What is the remainder when 8/(-20) - (-651)/15 is divided by 23?
20
Let q = 393 + -385. What is the remainder when 220 is divided by q?
4
Suppose -4*p - 4*p + 64 = 0. Suppose 2*v = 0, 2*v + 0*v + 115 = 5*z. What is the remainder when z is divided by p?
7
Let x(u) = 18*u - 6. What is the remainder when x(4) is divided by 17?
15
Let i(y) = y**2 - 6*y + 8. Suppose -3*z + z + 14 = -4*r, 5*z = -r + 2. Let t be (12/8 + r)*-4. Calculate the remainder when 13 is divided by i(t).
5
Suppose u = -2*f + 7, -2*u + 6 - 2 = -f. Suppose -k + 22 = f. Calculate the remainder when 39 is divided by k.
19
Suppose 0 = g + 583 - 1915. Calculate the remainder when g is divided by 58.
56
Let x(f) = f + 28. Let q be x(-15). Suppose 2*j - q = 17. Calculate the remainder when 59 is divided by j.
14
Suppose 17 = 2*r + 7*i - 2*i, 0 = -r - 3*i + 9. What is the remainder when 36 is divided by r?
0
Suppose 5*i - 843 = q, -3*i - 4*q + q + 495 = 0. What is the remainder when 509 is divided by i?
5
Let l be (2 - 16)/((-8)/4). Let z = l - -6. Calculate the remainder when z is divided by 3.
1
Let t(j) = -j**2 + 18*j - 6. What is the remainder when 204 is divided by t(16)?
22
Let x = -142 - -329. What is the remainder when x is divided by 47?
46
Calculate the remainder when (-424 - 38)*(-2)/3 is divided by 26.
22
Let w = -28 + 154. Let h = w - 88. What is the remainder when 151 is divided by h?
37
Let u be (-30)/7*(-308)/33. Suppose -3*s = 2*h - 571, -2*s + 410 - u = 4*h. Calculate the remainder when s is divided by 49.
46
Suppose 4*l + 20 + 20 = 0. Suppose -157 = -2*p - 121. Let w = p - l. What is the remainder when w is divided by 15?
13
Let f(g) = 7*g - 195. What is the remainder when 309 is divided by f(29)?
5
Suppose 31*w = 13*w + 288. Calculate the remainder when 74 is divided by w.
10
Let v(z) = 17*z - 24 + 34 + z**2 + 27. What is the remainder when 167 is divided by v(-16)?
20
Suppose 5*k = -3*g - 26, -5*g - 20 = 2*k + 3*k. Let p = 27 + -15. Calculate the remainder when (-247)/k + (-10)/35 is divided by p.
11
Let k = -260 + 318. Let q(v) = 15*v**2. Let s be q(1). Calculate the remainder when k is divided by s*2 - (0 + 0).
28
Suppose 28 = k + 5*m - 10*m, 5*m = -5*k + 230. Let h(b) = -2*b - 3. Let i be h(-4). Suppose -33 = -i*x + 2*x. Calculate the remainder when k is divided by x.
10
Suppose 3*c = 7*c + b - 27, -5*c - 5*b + 45 = 0. Suppose 11*m - 405 = c*m. Calculate the remainder when m is divided by 28.
25
Let z(r) = -r**2 - 7*r. Let x be z(-6). Calculate the remainder when 24 is divided by 1/(1/x) - (-6 + 3).
6
Suppose 5*r - 15 = -0*r. Let p(z) = 20*z**3 + 14*z**3 + 9*z**r - 13*z + z**2 + 12*z. What is the remainder when p(1) is divided by 11?
10
Suppose -703 - 638 = -9*f. What is the remainder when f is divided by 36?
5
Suppose 381 = 4*n - n + l, 4*l - 264 = -2*n. Calculate the remainder when n is divided by 32.
30
Suppose 3*x - 24 = -3. Let f(z) = z**3 - 9*z**2 + 10*z + 3. Calculate the remainder when f(8) is divided by x.
5
Let d(s) = s**3 + 2*s**2 - 5*s - 4. Let x be d(-3). Suppose -237 = -5*r + x*r. Calculate the remainder when r is divided by 20.
19
Let c(s) = -s**2 - 20*s - 21. Calculate the remainder when c(-10) is divided by 20.
19
Suppose 119*z = 14*z + 1680. What is the remainder when 124 is divided by z?
12
Let d = 4 - 4. Suppose 2 = -4*x + 22. Suppose d = x*r + m - 7, 3*r - 7 = 6*r - 5*m. Calculate the remainder when 1 is divided by r.
0
Let z(q) be the first derivative of q**4/4 + q**2/2 + 5*q + 1. Let i be z(-5). What is the remainder when 23 is divided by i/(-10) + (-1)/2?
11
Let l = 5086 + -2763. Suppose -4*f + l = 11. What is the remainder when f/10 - 32/40 is divided by 20?
17
Let g be (-6368)/(-56) + 1 + (-10)/14. Suppose g - 19 = 5*w. What is the remainder when w is divided by 10?
9
Suppose f - 10 = -3*u, 0*f - 18 = -2*u + 5*f. Suppose -95 = -u*s + d - 26, 3*d = 9. Calculate the remainder when s is divided by 10.
8
Let t be (-2)/(-6) + (-28)/(-6). Suppose -t*j + 35 = 4*c, 28 = j + 3*j - c. Let x = -2093 + 2097. Calculate the remainder when j is divided by x.
3
Suppose -4*n - 90 = -9*n. Calculate the remainder when -3*(-20)/(-6)*n/(-4) is divided by 13.
6
Suppose 15 = 3*l, 5*y + 2*l = -0*l + 