x = 55 + f. Calculate the remainder when x is divided by 6.
4
Suppose 9*o - 5*u - 89 = 0, 116*o + 4*u + 58 = 121*o. Calculate the remainder when 785 is divided by o.
5
Let k(z) = 36*z. Let w(b) = -b**3 - 2*b**2 + 4*b + 5. Let p be w(-4). Let r = p + -20. What is the remainder when k(r) is divided by 19?
17
Let t(q) = q**2 + 98*q - 1347. What is the remainder when t(14) is divided by 37?
36
Suppose 10*l - 6*l + 5*r = 5, r = 2*l - 13. Calculate the remainder when (-6)/(-27) + 124/9 is divided by l.
4
Let v = -1617 - -1736. Calculate the remainder when v is divided by 106.
13
Let x be (-13566)/(-1 - (-4)/(-12)*0). Suppose -34*i = -0*i - x. What is the remainder when i is divided by 50?
49
Let z(j) = -j**3 - 27*j**2 - 52*j + 84. Calculate the remainder when 248 is divided by z(-25).
114
Let o be (3/(-2))/(15/(-40)). What is the remainder when (-5)/((-50)/(-35))*o*-7 is divided by 11?
10
Suppose -10*n - 1 = -11. What is the remainder when ((-1)/n - -4)*7 is divided by 6?
3
Let g(s) = 808*s - 6461. Let l(r) = 45*r**2 - r. What is the remainder when l(1) is divided by g(8)?
2
Suppose 418 = 2*o - 3*n, -2*o + 5*n = -o - 209. Suppose 0*s + 4*s - o = -d, 5*d = -s + 988. What is the remainder when d is divided by 67?
63
Suppose -2*s = 5*j, -5*s - j = -0*j. Let m be s + (-4)/(-4)*4. Suppose m*i - 7*i + 249 = 0. Calculate the remainder when i is divided by 21.
20
Let a be (17 - -3)*(-3)/(-6). Suppose -c = -2*c - 5*z + a, -2*z = c - 7. Let b(s) = -3*s - 12. Calculate the remainder when b(-13) is divided by c.
2
Let s = 106 - 94. Let m(d) = -4*d**3 - 6*d**2 - 9*d - 3. What is the remainder when m(-2) is divided by s?
11
Let i be -5 - ((-40)/4 - -6). Calculate the remainder when (-1 - -16 - i)/((-14)/(-42)) is divided by 26.
22
Suppose 5*m = 3*k + 199, 0 = 2*m - 4*k - 88 + 14. Calculate the remainder when m is divided by (-2)/(-10) + 3536/170.
20
Let h = -5873 - -6282. What is the remainder when h is divided by 45?
4
Suppose -11*l + 208 = -10*l. Let w = 19 + -1. Suppose w*c = 26*c - 240. Calculate the remainder when l is divided by c.
28
What is the remainder when (-1 - 27)*1/(13 - 136565/10504) is divided by 121?
118
Let r = -3987 - -7463. What is the remainder when r is divided by 232?
228
What is the remainder when (-189 - -15)/(6/(-4)) is divided by 13?
12
Let h = 258 - 234. Suppose 3*y = z + h, -5*z + 29 = 2*y - 4. What is the remainder when 37 is divided by y?
1
Let o = 4982 - 4805. What is the remainder when 206 is divided by o?
29
Let m = 12 - 6. Suppose -4*y - 4*k - m - 10 = 0, -16 = 4*k. Suppose y*j = 5*j - 55. Calculate the remainder when j is divided by 6.
5
Let p be (-1 + 10)/(2 - (-135)/(-69)). Let w = 233 - p. Calculate the remainder when 103 is divided by w.
25
Calculate the remainder when 2146 is divided by 272 + (144/(-9) + 18)*3/(-2).
263
Suppose 0 = 47*t - 6320 - 5195. What is the remainder when t is divided by 89?
67
Let w(i) = 22*i**2 - 415*i + 136. Calculate the remainder when 2887 is divided by w(19).
185
Let v = 307 - -417. Suppose a - 70 = -0*a. Calculate the remainder when a is divided by (-4)/30 - v/(-30).
22
Let j(p) be the first derivative of 19*p**3/3 + p**2/2 - 3*p - 18. Suppose -11 = -4*m + w, 7*m + w - 7 = 2*m. What is the remainder when j(m) is divided by 26?
23
Let j = -130 - -135. Suppose 0 = j*h + f - 376, h - 2*f = f + 72. What is the remainder when h is divided by 30?
15
Let u = -185 + 187. Suppose 4*v - 52 = -3*t, -4*t + 5 = u*v - 11. Calculate the remainder when v is divided by 4.
0
Let z(g) = 6*g**2 + 1779*g + 8914. Calculate the remainder when 7425 is divided by z(-5).
158
Suppose -2*c = c - 4*t - 19, -4*c = 5*t - 46. Let v be (16/6)/(-1) - 3/c. What is the remainder when -10*(4 + -5 + v) is divided by 14?
12
Let w = 7103 + -4394. Calculate the remainder when w is divided by 34.
23
Suppose 0 = 3*s - 3*l - 20 - 43, -l = 5*s - 69. Let t = -1 + 3. Let w = t - -4. What is the remainder when s is divided by w?
3
Let s(m) = 7*m + 38. Let v be s(-5). Let a(w) = w**3 - 26*w + 62. What is the remainder when 30 is divided by a(v)?
8
Let i be 6/(-8) - (-253)/44. Suppose -3*q - 2*f + 417 = -0*q, -5*q - i*f = -700. What is the remainder when q is divided by 35?
32
Let u(q) = 12*q + 121. Let n be u(-8). Suppose -7*v - n = -8*v. Calculate the remainder when v is divided by 7.
4
Let t(r) = r**2 - 540*r + 10902. Suppose -3*v + 30 = -0*v. What is the remainder when v is divided by t(21)?
1
Let u(p) = -p**2 + 11*p - 17. Let d = 333 - 330. Let r = 6 + -4. Calculate the remainder when u(d) is divided by r.
1
Suppose -92*m = -94319 - 89405. What is the remainder when m is divided by 332?
5
Suppose 4*t - 8*t + 52 = 0. Let o(m) = 43*m + 82. Let v be o(-7). Let a = 295 + v. Calculate the remainder when a is divided by t.
11
Suppose 0*p = -2*p + 68. Suppose -4*r = 5*u - 528, -2*u + 4*r = -u - 96. Let x = -95 + u. Calculate the remainder when p is divided by x.
7
Let m(o) = 3*o**2 - 13*o + 66. Let u be m(6). Suppose 105 = 3*n - u. What is the remainder when n is divided by (-8)/24 + (-43)/(-3)?
11
Suppose -33 - 84 = -3*r. Let f = r + 49. Let p = -50 + f. Calculate the remainder when 151 is divided by p.
37
Let q = 16704 - 16645. What is the remainder when 115 is divided by q?
56
Let r = 26 - 16. Suppose 2*o - 2*k - 2390 = 0, 3*k + 933 = 4*o - 3846. Let j = 1221 - o. Calculate the remainder when j is divided by r.
7
Suppose 2*d - 20 = d. Let g(c) = 6*c**3 + 4*c**2 + 12*c + 6. Let n be g(-3). Calculate the remainder when (-13)/26*(n - -2) is divided by d.
17
Let j(r) = 21*r - 282. What is the remainder when j(27) is divided by 24?
21
Suppose -4*g + 5*t + 148 = 0, -13*t = -5*g - 11*t + 168. Let j = -106 + 329. What is the remainder when j is divided by g?
31
Suppose w - 80 = 32*n - 36*n, 3*n + 301 = 4*w. Calculate the remainder when 2885 is divided by w.
73
What is the remainder when 870/10 + -1 + 1 + -3 is divided by 81?
3
Let c(d) = 5*d**2 + 2*d - 103. Let h(j) = 2*j**2 + j - 52. Let i(b) = 3*c(b) - 7*h(b). What is the remainder when 216 is divided by i(0)?
51
Let u(w) = -3*w**2 + 16*w + 19. Let z be u(-8). Let g = z + 308. Suppose 0 = 2*s + 2*c + 3*c, -3*s = -3*c - 21. What is the remainder when g is divided by s?
2
Let g(n) = -2*n**2 - 10*n + 3. Let j be g(-5). Suppose -j*q = 0, -3*q - 23 - 432 = -5*i. What is the remainder when i is divided by 19?
15
Let a = 659 + -516. Calculate the remainder when 750 is divided by a.
35
Suppose -y - 132 = -3*x, 0 = 4*x - 145*y + 150*y - 176. Calculate the remainder when 600 is divided by x.
28
Let t(o) be the first derivative of -o**4/4 - 26*o**3/3 - 13*o**2 + 16*o + 10. Suppose -26 = -u - 11. What is the remainder when t(-25) is divided by u?
11
Let l = 18357 + -18255. What is the remainder when 4281 is divided by l?
99
Suppose 0 = -2*b - 5*j + 33, 6*j = 3*b + j - 37. Suppose 4*z = 4*r - 388, -b*z = -17*z - 15. What is the remainder when r is divided by 21?
8
Let z(r) = 2*r - 18. Let n be z(9). Suppose n*q - 2*q = -2. Calculate the remainder when 42 is divided by q*15/(-1)*-1.
12
Let v = -123 - -109. Let c(y) = -2*y + 42. Calculate the remainder when c(v) is divided by 38.
32
What is the remainder when 2/(((-4)/18)/(-2)) is divided by -28*80/(-84)*63/210?
2
Suppose -m = m - 24. Suppose -3*x + 2 = 17, -3*d + x + 20 = 0. Suppose 0 = 3*j - d*j + 64. What is the remainder when j is divided by m?
8
Let g = -45 + 70. Suppose 11 + 21 = 3*i - k, -4*i + 4*k + 48 = 0. Suppose -3*t + 130 = i*t. Calculate the remainder when g is divided by t.
5
Suppose 0 = -10*y + 15*y - 815. Let z = -120 + y. Calculate the remainder when z is divided by 16.
11
Let t(y) = -y**2 - 18*y + 139. What is the remainder when 104 is divided by t(-22)?
2
Let i = -27 + 3. Suppose 5*v = 3*v + 26. Calculate the remainder when (i/10)/(2/(-95)) is divided by v.
10
Let z = 130 - -571. Let x = z - 692. Calculate the remainder when 94 is divided by x.
4
Suppose -4*a = 5*d - 10, 0*d - 5*a = -4*d + 8. What is the remainder when 61 is divided by 330/10 - (2 - -3) - d?
9
Suppose -310*y = -348*y + 298984. What is the remainder when y is divided by 21?
14
Suppose 2*i + 460 = 2*b, -23*i = -4*b - 22*i + 917. Calculate the remainder when 1080 is divided by b.
164
Suppose 66*r - 920 = -128. What is the remainder when 148 is divided by r?
4
Suppose -2*t = 