e remainder when 69 is divided by x(3)?
12
Suppose -3*r - 2*r + f = -1, -2*r + 5*f = -5. Let x be -14*(r - (-1)/(-2)). Let v = 26 + x. Calculate the remainder when v is divided by 12.
9
Suppose -5*x - 2*u + 82 = 0, -5*u = 2*x - u - 36. Calculate the remainder when 142 is divided by x.
14
Suppose 14 = -5*z + i + 524, 3*z = i + 306. What is the remainder when 308 is divided by z?
2
Let n be (28/(-4))/(1/2). Calculate the remainder when 95 is divided by (-94)/(-4) - (4 - (-63)/n).
23
Suppose 34*a + 4 = 32*a. What is the remainder when 73 is divided by (0 + 19)*(a + 3)?
16
Let z(b) = b**3 - 3*b**2 + 3*b + 5. Let v = 162 + -157. What is the remainder when z(v) is divided by 18?
16
What is the remainder when 20 is divided by ((-60)/4)/(-4 + 3)?
5
Suppose 3*f = -a + 22 + 15, -3*a - 15 = 0. Let j(l) = l**2 - 13*l - 4. Calculate the remainder when j(f) is divided by (-10)/(-3) - 3/9.
1
Let m(u) = 2*u + 16. Let w be m(-10). What is the remainder when 104 is divided by (-7)/(38/10 + w)?
34
Suppose -7*q = -23*q + 16. What is the remainder when 1 is divided by q?
0
Let k(n) = 2*n**2 + 7*n - 7. Let v be k(-6). Let x = v + 29. Calculate the remainder when x is divided by 14.
10
Let o(u) = 2*u**3 + u**2 - 4*u + 33. Calculate the remainder when 418 is divided by o(3).
82
Let s = 30 + -28. Suppose -3*z - s*u + 3*u + 54 = 0, 5*u = 5*z - 90. Calculate the remainder when 57 is divided by z.
3
Let y(v) = v**2 - 2*v + 12. Let b be y(5). Suppose -2*c + b = c. Let t(n) = n**3 - 8*n**2 - 4*n - 3. What is the remainder when t(c) is divided by 11?
9
Suppose -152 = -5*c + 3*b + 47, 6*b + 153 = 3*c. Suppose 3*i = 162 + 246. What is the remainder when i is divided by c?
31
Let i = -634 - -745. Calculate the remainder when i is divided by 65.
46
Suppose 287 = 44*u - 65. Suppose 0 = -5*i + 144 + 181. Suppose -3*r - 2*r + i = 0. Calculate the remainder when r is divided by u.
5
Let t = 1007 - 996. What is the remainder when 37 is divided by t?
4
Suppose -85*t + 96*t = 385. Calculate the remainder when 67 is divided by t.
32
Suppose -2*c = -3*c + 5*g + 119, 3*c + 4*g = 414. Suppose 430 = 8*l + c. Calculate the remainder when l is divided by 19.
18
Suppose 0 = -7*c + 4*c + 3*y + 141, 4*y - 199 = -5*c. Calculate the remainder when 296 is divided by c.
38
Let d(w) = -w**3 + 33*w**2 - 258*w + 42. Calculate the remainder when d(19) is divided by 54.
32
Let r = -148 - -311. Calculate the remainder when r is divided by 55.
53
Let b = 102 - 114. Calculate the remainder when 9 is divided by 2/(((-2)/14)/(b/42)).
1
Suppose 0 = -3*c - 376 + 109. Let z = -48 - c. What is the remainder when z is divided by (8 - 7)/((-3)/(-33))?
8
Let t(w) = 11*w - 67. Calculate the remainder when 608 is divided by t(8).
20
Suppose 3*m + 4*d - 408 = 0, 499 + 55 = 4*m + 2*d. Calculate the remainder when 28 is divided by ((-84)/m)/(1/(-30)).
10
Calculate the remainder when (-46 - (-6 - -12))*-1 is divided by 8.
4
Let j = 35 + -12. Suppose 0 = 2*y + 3*y + 5*x - 55, 28 = 2*y + 5*x. Let d(z) = z**3 - 9*z**2 + 7*z + 4. What is the remainder when d(y) is divided by j?
21
Suppose 7*a + 4*a = 22. Suppose -a*t - 11 + 21 = 0. What is the remainder when 10 is divided by t?
0
Let q(o) = -6*o + 58. Let s be q(8). Suppose g + 324 = s*g. What is the remainder when 71 is divided by g?
35
Suppose 0*n - 8 = 4*n + 4*r, 5*n = -3*r - 6. Suppose n = -q, -x + 10 - 2 = q. Suppose 0 = 5*d - x - 32. Calculate the remainder when 14 is divided by d.
6
Let o = 51 - 22. Let j(z) = -8*z. Let s be j(-4). Suppose 12*v = 14*v - s. Calculate the remainder when o is divided by v.
13
Let o(h) = h**2 + 28*h - 123. What is the remainder when o(-35) is divided by 26?
18
Let y = -69 - -84. Let s = -26 - -14. Let z = y + s. What is the remainder when 11 is divided by z?
2
Suppose 180*g - 190*g + 300 = 0. Calculate the remainder when 1018 is divided by g.
28
Suppose 809*a = 820*a - 4785. Calculate the remainder when a is divided by 19.
17
Suppose -3*p - 4*g = -2*p - 238, 4*p = 2*g + 1042. What is the remainder when p is divided by 66?
60
Let x(f) = f + 17. Let u be x(-13). Suppose 5*o + 61 = p, u*p - 71 - 173 = 5*o. What is the remainder when p is divided by 31?
30
Calculate the remainder when 446 is divided by (-1)/((3 - -1) + (-195)/48).
14
Calculate the remainder when (-30)/(-15) + 365/(8 - 3) is divided by 39.
36
What is the remainder when 59409/399 - (-4)/38 is divided by 6?
5
Let z(r) = -2 - 2*r**3 + r - 5*r**2 + 4*r**3 - r**3. Let x(w) = 81*w + 1708. What is the remainder when x(-21) is divided by z(5)?
1
Suppose 0 = 26*o - 1127 - 771. Calculate the remainder when 364 is divided by o.
72
Let x = -155 - -175. Calculate the remainder when x is divided by 16.
4
Let i = -97 - -152. Calculate the remainder when 70 is divided by i.
15
Let z(s) = 43*s - 3. Let h be z(1). Suppose -3*y = -j - 34, -4*j + 19 = 3*y - h. Calculate the remainder when 46 is divided by y.
7
Let d be (0 + 1)*(0 - 9). Let v(r) = -5*r + 3*r + 0*r - 5. What is the remainder when v(d) is divided by 5?
3
Suppose -5*z + 5*q + 1540 = 0, 2*q - 1202 = -7*z + 3*z. What is the remainder when z is divided by 34?
31
Suppose 45*f = 11*f + 680. What is the remainder when f is divided by 2?
0
Suppose 0 = -12*g + 4 - 28. Suppose 0 = -3*x - 3*o - 3, -2*o + 5 = -2*x - o. Calculate the remainder when 36 is divided by 13*g*x/4.
10
Suppose -9*r + 10*r - 32 = -3*l, 5*l + 4*r = 51. What is the remainder when 424 is divided by l?
6
Let t = -762 + 778. Suppose -14 = -u - 0*c - 3*c, -18 = -3*u - c. Calculate the remainder when t is divided by u.
1
Let f = 1906 - 1888. Calculate the remainder when 550/8 - 1/(-4) is divided by f.
15
Suppose 3*o = v + 6*o + 1, -28 = -2*v + 4*o. Calculate the remainder when (-2)/1 - -1 - -55 is divided by v.
6
Suppose -2*y = y - 75. Suppose -3*s + w + y = 0, -5*s + 39 - 9 = -4*w. Suppose -2*i = -4, -5*q = 3*i - 76 - 25. What is the remainder when q is divided by s?
9
Let h = 20 + -14. What is the remainder when (h - (-413)/21) + 2/(-3) is divided by 10?
5
Let q = -3 - -34. Suppose -201 = -8*s - 169. What is the remainder when q is divided by s?
3
Let w(j) = 4*j**2. Suppose -4*s = -5*s - 1. Let g be w(s). Let c(o) = o**3 - 3*o**2 - 2*o + 3. What is the remainder when 41 is divided by c(g)?
8
Let w = 84 - 57. Suppose 216 = 3*a - 21. What is the remainder when a is divided by w?
25
Suppose -33 = -2*a + 55. Calculate the remainder when a is divided by 5.
4
Suppose 3*w + 7*f - 379 = 9*f, -3*w - 2*f + 371 = 0. Calculate the remainder when w is divided by 40.
5
Suppose -5*t - a + 943 = 323, -4*t + 3*a = -496. What is the remainder when (-1448)/(-12) - (1/(-3) + 0) is divided by ((-1)/4)/((-1)/t)?
28
Suppose 5*p = 4*p - 3. Calculate the remainder when (-1)/(1/57)*p/9 is divided by 4.
3
Let l(x) = 3*x**2 + 40*x + 281. Calculate the remainder when l(-12) is divided by 119.
114
Let d(h) = 2*h + 19. Let k be d(-9). Let z(m) = m. Calculate the remainder when (-12)/(-12) - -10*k is divided by z(4).
3
Let a(k) = 77*k + 2. Let q be a(-1). Let m = 87 + q. Calculate the remainder when 23 is divided by m.
11
Suppose 14 = 3*g - 2*x, 2*g - x - 88 = -80. Let d = 1 - -3. What is the remainder when d is divided by g?
0
Let w = 2 - 0. Suppose 4*l - 17 - 19 = -5*i, -3*i = 5*l - 32. Suppose -3*d + w*d - i*g + 27 = 0, 78 = 5*d + g. Calculate the remainder when 29 is divided by d.
14
Let z be (-516)/4 + (-3)/(3 - 0). Let v = 146 + z. Calculate the remainder when 93 is divided by v.
13
Suppose -4 = -4*u, 3*l + 128*u - 130*u - 52 = 0. Suppose 2*t = t + 53. What is the remainder when t is divided by l?
17
Suppose -d - 8 = 1. Let l = 14 + d. Suppose -6*v + l*v = -27. Calculate the remainder when v is divided by 15.
12
Let z(w) = 54*w - 75. Let o = -47 - -97. What is the remainder when z(5) is divided by o?
45
Let q(g) = -3*g**2 + 13*g - 15 - 3*g**2 + 7*g**2 + 6*g**2 - g**3. Let y be q(8). Let i = y + -13. What is the remainder when 33 is divided by i?
9
Let g = 347 - 326. Suppose s + 304 = 5*y, 3*y - 4*y - 5*s = -66. Calculate the remainder when y is divided by g.
19
Let d = 217 - 177. What is the remainder when 54 is divided by d?
14
Suppose 2*a = -3*a + 10. Suppose a*f + 3*f = 325. Suppose -5*b = -u + 6*u - f, 23 = 2*u - b. What is the remainder when u is divided by 5?
2
Suppose 139*d = 142*d - 267. 