late the remainder when r(-34) is divided by 3.
1
Let y = 84 - 75. What is the remainder when 6/y + (-777)/(-9) is divided by 15?
12
Let w be -9*(-3 + 2 + 0). Suppose -1220 - 535 = -w*k. What is the remainder when k is divided by 49?
48
Let j(w) = w**2 + 5*w - 5. Let x(c) = -c**3 + 8*c**2 - 8*c + 8. Let k be 1/(-1)*1*-7. What is the remainder when x(k) is divided by j(-6)?
0
Let s(i) = -i - 1. Let y be s(-9). Suppose -3*u + 35 - y = -4*z, 5*u = -3*z + 16. Suppose -u*v + 6 = -99. What is the remainder when v is divided by 12?
9
Suppose -28*b = -30*b - 12. Let p(f) = f**3 + 6*f**2 + 2*f + 17. Calculate the remainder when 24 is divided by p(b).
4
Calculate the remainder when (((-16)/(-12))/4)/((-28)/(-6552)) is divided by 16.
14
Let s(g) = -g - 5. Let f be s(-9). Suppose 49 = f*h + 21. What is the remainder when 33 is divided by h?
5
Suppose -3*j - 2*j = 30. Suppose 546 = 18*b - 120. What is the remainder when (-650)/j + (-4)/(-6) is divided by b?
35
Let v(w) = w**2 - 13*w - 12. Let o be v(11). Let z = o + 49. Suppose -h + 2 = -4. What is the remainder when z is divided by h?
3
Suppose 5*d = -w + 91, 309 = 3*w + 21*d - 18*d. What is the remainder when w is divided by 16?
10
Suppose 0 = -6*b + 240 - 42. Let j = -27 + 45. Calculate the remainder when b is divided by j.
15
Let b(d) = 2*d + 12. Suppose -5 = -2*v + 7. What is the remainder when b(v) is divided by 8?
0
Let v(p) = 5*p - 1. Let q be v(4). Suppose 3*y - 2*h - 14 = y, 0 = -5*y + h + q. What is the remainder when (15/6)/((-45)/(-198)) is divided by y?
2
Let i = 3 - -11. Let o = 258 + -153. Suppose 5*h = -2*c + 141, h + 3*h = c + o. What is the remainder when h is divided by i?
13
Let s(t) = t**2 + 11*t + 14. Let q be ((-1)/1)/((-1)/17). Suppose q + 11 = 2*f. What is the remainder when s(-13) is divided by f?
12
What is the remainder when (-2)/7 + 550/14 is divided by ((27 - 30) + (5 - 1))*21?
18
What is the remainder when 277 is divided by (-2152)/(-36) + (-18)/(-81)?
37
Let w(b) = -b**2 - 10*b - 8. Let r be (-224)/32 - -1*1*2. What is the remainder when 77 is divided by w(r)?
9
Let j(q) = -7*q. Let c = -13 - -12. Let u be (7 - 8) + c*1. What is the remainder when 41 is divided by j(u)?
13
Let d(r) = -2*r**2 + 17*r - 17. Let k be d(15). Let h = k + 337. What is the remainder when h is divided by 32?
29
Suppose -47*a - 54 = -4*z - 49*a, 0 = -2*a + 6. Calculate the remainder when 71 is divided by z.
11
Calculate the remainder when 97 is divided by (-140)/(-50) + -3 + (-182)/(-10).
7
Suppose 0 = 46*g - 42*g + p - 87, 0 = -3*g + 5*p + 48. What is the remainder when 1343 is divided by g?
20
Suppose 0 = -2*g - g - q - 14, 5*g = q - 34. Let s(h) = -6 - 13*h - 3 + 3*h + 7*h. Calculate the remainder when 17 is divided by s(g).
8
Let p = 3000 + -2971. What is the remainder when p is divided by 8/6*(16 - 1)?
9
Let y(i) = 8*i + 15. Calculate the remainder when 119 is divided by y(6).
56
Suppose -3*t = -3*s + s + 6, 3*s + 2*t = 9. Let k be ((-7)/3)/(s/9). What is the remainder when 24 is divided by 177/21 + (-4)/k?
6
Let s = -92 - -110. What is the remainder when 106 is divided by s?
16
Let y = 23 + -18. Suppose -5*o + 10*o - 4*v - 10 = 0, 0 = -v. Suppose o*h - 2 = 16. Calculate the remainder when h is divided by y.
4
Let r = -231 - -370. Let y be -60*((-24)/9 + 4). Let k = -45 - y. What is the remainder when r is divided by k?
34
Let m(s) be the second derivative of -s**5/20 + s**4/3 - s**3/2 + s**2 + 6*s. Let h be m(3). Calculate the remainder when (4/(-12))/(h/(-114)) is divided by 5.
4
Suppose 3*u + 0*u = 39. Let i = -120 - -47. Let j = -68 - i. Calculate the remainder when u is divided by j.
3
Suppose z = 2*v - 41, 51 = 5*v + 2*z - 47. Suppose 6*y = y + 70. Calculate the remainder when v is divided by y.
6
Suppose -3*v + 4*g - 17 = 0, 4*g + 1 = -2*v + 3. Let u = v - -36. Suppose -u - 7 = -4*n. Calculate the remainder when 17 is divided by n.
7
Suppose -6*m = -3*m - 12. Suppose -44 = -3*n - 4*c, m*n - n = -5*c + 49. Calculate the remainder when 31 is divided by n.
7
Suppose 4*w + 4*q - 48 = 0, -3*q - 64 = -3*w + q. Let y(d) = 129*d**3 - 2*d. What is the remainder when y(1) is divided by w?
15
Suppose c = 9*c - 296. What is the remainder when 107 is divided by c?
33
Let z(d) = -d**2 - d + 6. Let l be z(8). Let u = l + 117. What is the remainder when u is divided by 13?
12
Let c = 160 + -152. Calculate the remainder when 46 is divided by c.
6
Suppose -4*n = -5*f - 98, 5*n + 2*f - 143 = -2*f. What is the remainder when 295 is divided by n?
25
Let g = 143 - 93. Calculate the remainder when g is divided by 30.
20
Let l = 28 - 26. Let o(w) = -l*w**2 - 22 - 9*w - 3*w + w**2 + 2*w**2. What is the remainder when 28 is divided by o(14)?
4
Suppose 7 = -i - u, -3*i = -2*u + 2 - 6. Calculate the remainder when ((4 + i)*-1)/(4/(-86)) is divided by 13.
4
Let w = 15 - 15. Suppose j + n - 20 = w, 0 = j - 2*j + 4*n + 5. Calculate the remainder when 65 is divided by j.
14
Let k be 2*(1/(-2) + -1). Let u be (63/k)/(4/(-8)). Suppose -11*o = -8*o - u. What is the remainder when 51 is divided by o?
9
Suppose 343*y - 86 = 341*y. Calculate the remainder when 426 is divided by y.
39
Suppose 6*s + 83 = 185. Calculate the remainder when 611 is divided by s.
16
Let c(a) = -3*a**3 - 5*a**2 - 6*a - 8. What is the remainder when 137 is divided by c(-3)?
45
Let u(s) = s**2 - 5*s. Let i be u(5). Suppose -p - 4*j + 7 + 0 = i, 0 = -p - 5*j + 3. Calculate the remainder when (71 - 0*3/(-9)) + -3 is divided by p.
22
Let t = 783 + -542. Suppose -6*k + 137 = -t. Calculate the remainder when k is divided by 32.
31
Suppose -4*w + 1504 = 4*j - 828, 3*j = -w + 1739. What is the remainder when j is divided by 20?
18
Let s(f) = -f**3 + 4*f**2 - 2*f + 4. Suppose -12*c + 13 = -83. Suppose 0 = -4*z - c*z + 60. Calculate the remainder when s(3) is divided by z.
2
Let z = -56 + 56. What is the remainder when (-12 - (-5 + z))*(-90)/7 is divided by 31?
28
Suppose -4*p = -5*s + 1533, -4*s + 10*p - 5*p = -1221. Let l = s + -194. What is the remainder when l is divided by 29?
28
Let q = 945 + -578. What is the remainder when q is divided by 62?
57
Let c(o) = 33*o - 7. Let p(u) = 15*u**2 - u. Calculate the remainder when c(1) is divided by p(1).
12
Let y(i) = -i**2 + 12*i - 15. Let f be y(10). Suppose f*w + a - 366 = 0, a - 2*a + 218 = 3*w. Calculate the remainder when w is divided by 19.
17
Let r(b) be the third derivative of b**5/30 - b**4/8 + b**3/2 - b**2. Calculate the remainder when r(6) is divided by 15.
12
Suppose 0*j = j - v - 28, 3*j - 5*v = 74. What is the remainder when j is divided by 17?
16
Let o(i) = -6*i**2 - 404*i - 97. What is the remainder when 80 is divided by o(-67)?
6
Let g = -1 + 6. Suppose -f + 5 + g = 0. What is the remainder when 14 is divided by f?
4
Suppose 59*h - 762 = 5. Calculate the remainder when 18 + 1 + 3 + -2 is divided by h.
7
Suppose -17*x + 228 + 826 = -102. Suppose -5*i - 4*s = -76, -30 = 5*i - s - 86. What is the remainder when x is divided by i?
8
Let f = 2763 - 2755. What is the remainder when 382 is divided by f?
6
Suppose 0 = -4*b + 3*g - 4, 2*b + 2*g - 20 = -8. Suppose -4*l + 27 = 2*y + 1, 3*l - 2*y - b = 0. Calculate the remainder when 5 is divided by l.
1
Suppose -2*q = -4*k + 18, 4*q + 8 = 6*k - 2*k. Suppose 328 = k*n - 29. What is the remainder when n is divided by 9?
6
Suppose -8*d = -4*d - 1304. Suppose s + 330 = 2*a, a = 3*a - 3*s - d. Calculate the remainder when a is divided by 8.
6
Suppose -6*i = -2*i + 16. Let x(q) = -q**3 - q**2 + 4*q. Calculate the remainder when 127 is divided by x(i).
31
Let t(i) = -i - 2. Suppose 2 = -5*r + 37. Let b be t(r). Let s = b + 14. Calculate the remainder when 22 is divided by s.
2
Let h be ((-42)/8)/((-3)/20). Suppose -2*q - 4*l + 14 = 0, -5*q - 4*l - l = -h. What is the remainder when 12 is divided by q?
5
Let o = -4 - -6. Suppose 2*s = 2*b + 14, 4*b + 6 + o = 2*s. Suppose 3*n - 102 = -3*k, 2*n + k = -0*k + 72. What is the remainder when n is divided by s?
8
Let x = -33 + 33. Suppose 7*s - 15 = -4*w + 2*s, x = -5*w + 2*s + 27. Suppose w*g - 21 = -6. Calculate the remainder when 15 is divided by g.
0
Let g(u) = u**2 - u + 2. Let w = 5 + -5. Let j be g(w). Suppose j*b = -2, -2*v = v - 2*b - 62. What is the remainder when 38 is divided by v?
18
Let u = -2770 - -278