lculate the remainder when h is divided by 127.
2
Suppose 4*n - 40 = -5*a, 14*a = n + 17*a - 17. Suppose -2*t + 426 = 2*p, n*p = -t - t + 426. What is the remainder when t is divided by 54?
51
Let b(v) = 10*v**2 - 30*v - 32. Calculate the remainder when 1950 is divided by b(-1).
6
Suppose j - 4 = 2*m, 0 = 11*m - 7*m - 4*j. Let i(y) = 7*y**2 - 3*y + 5. What is the remainder when i(m) is divided by 13?
12
Suppose 0 = 3*s - 6*s + 3*d + 3, s + 2*d - 7 = 0. Suppose -15 = s*i - 3. What is the remainder when i/(8/218)*(-3 + 2) is divided by 29?
22
Let i be (32/12)/((-2)/(-12)). Let r = 130 - i. Suppose -5*m + 151 = -r. Calculate the remainder when 105 is divided by m.
52
What is the remainder when 1387/(0 + (-4)/(-3) - 117/351) is divided by 154?
1
Let m(g) = 995*g + 3025. Suppose 5*k + 6*h = h + 655, -5*h = -5*k + 685. What is the remainder when k is divided by m(-3)?
14
Let b(n) = 10*n**3 + n**2 - n + 1. What is the remainder when 179 is divided by b(2)?
13
Suppose 0*y = -j - 3*y + 9, 4*j = 2*y + 22. Suppose 0 = 5*m - 3*b - 9, b + b + j = -3*m. Let f = 17 + m. What is the remainder when f is divided by 6?
5
Let j(l) = -l**3 + 8*l**2 + 12*l + 68. What is the remainder when 2136 is divided by j(-4)?
16
Let p(n) = -3*n**3 - 5*n**2 + 2*n + 4. Let g be p(-2). Suppose 5*i = -a - 232 + 646, 4*a - 1680 = g*i. Calculate the remainder when a is divided by 28.
27
Suppose 3*x = o - 2, 2*o - 3*x - 2 = 2. Let i be (-3*1/(-6))/(2/32). Suppose 4*d - i - 4 = 0. Calculate the remainder when d is divided by o.
1
Let p be (0 + 1)/(3/(10 + -4)). Let v be (-4)/(-12)*p - 70/(-3). Suppose 8 = 5*z + 3*a, z - 5*a = -0*z + v. What is the remainder when 10 is divided by z?
2
Calculate the remainder when 479 is divided by 20/(((-100)/(-30))/5).
29
Let k(d) = 2*d**3 - 21*d**2 - 8*d - 19. Let u be k(11). Suppose 0 = -u*v + 17*v - 225. What is the remainder when v is divided by 28?
19
Let d be 1542/18 - 4/(-12). Suppose -3*n + d = -31. Calculate the remainder when n is divided by 7.
4
Suppose -11*v + 10 = -6*v, -v + 97 = 5*w. Suppose 4*d = 4*n - 740, -5*d = 3*n - 437 - 150. Calculate the remainder when n is divided by w.
18
Let w = 3416 - 3364. Calculate the remainder when w is divided by ((-1)/2)/(2/(-36)).
7
Let z(p) = -p**3 - 3*p - 2. Let h be z(3). Suppose 3*v - 35 = 16*t - 21*t, -2*t = -4*v + 64. What is the remainder when 73 is divided by (15/v)/((-1)/h)?
35
Suppose 5*d - 138 = -5*s + 4*s, 33 = d + 2*s. Calculate the remainder when d is divided by 14.
13
Suppose -98*t = -100*t + 8. Suppose -5*y - 2*b + 119 = -64, -t*b = -16. What is the remainder when y is divided by (1 + 0)*6 + 3?
8
Let i be (23 - -36)/(2/22). Suppose -6*m + 143 = -i. What is the remainder when m is divided by 23?
17
Suppose 23*x - 574 - 553 = 0. Suppose 3*v = -3*r + 429, 4*v + 0*v = r - 153. What is the remainder when r is divided by x?
47
Let l = -1723 + 1857. Calculate the remainder when 674 is divided by l.
4
Let z = 12791 - 12563. Calculate the remainder when 2267 is divided by z.
215
Let g be (-56)/21*(-6)/4. Let o(y) = y**3 - 3*y - 2. Let r be o(g). Let c = r - 43. What is the remainder when 19 is divided by c?
5
Let h(m) = -m**2 - 8*m - 13. Let a(l) = 3*l**2 + 15*l + 26. Let w(g) = -4*a(g) - 10*h(g). Let q = 0 + 3. What is the remainder when w(10) is divided by q?
2
What is the remainder when 629 is divided by 9*(-36)/1134 - 492/(-7)?
69
Let c(v) = 4*v**2 - 2*v - 1. Suppose -280 = -61*t + 39*t - 170. What is the remainder when c(-5) is divided by t?
4
Let f(u) = -u**3 - 81*u**2 - 164*u - 200. What is the remainder when 1384 is divided by f(-79)?
14
Let c be 3 + (-3)/(-6)*-2. Suppose c*m = 13*m - 44. Let h = 18 - m. What is the remainder when 55 is divided by h?
13
Let u(p) = 11*p**2 + 225*p + 99. What is the remainder when u(-21) is divided by 217?
8
Let c = 49 + -25. Suppose -12*b = -20 - 4. Calculate the remainder when ((-5)/b*19)/(24/(-48)) is divided by c.
23
Let r(k) = 3*k**3 - k**3 - 7*k**2 + 13 - k**3 + 5 - 12*k. Let l be r(9). Let i = l - 66. Calculate the remainder when 8 is divided by i.
2
Suppose j + 4*i - 44 = 0, 5*i - 143 = j - 5*j. Calculate the remainder when j is divided by -5 + 11*(-5 - -7).
15
Suppose -143*x + 1085 = -38*x - 74*x. What is the remainder when 1463 is divided by x?
28
Let k(r) = r**3 - 53*r**2 + 52*r + 34. Suppose -6*x = -3*x - 1524. What is the remainder when x is divided by k(52)?
32
Suppose -l - 23618 = -38*l - 61*l. What is the remainder when l is divided by 80?
1
Let q = -184 + 865. Calculate the remainder when q is divided by 36.
33
Suppose 70*j - 3131 - 49350 = -6421. Suppose -2*m + 75 = 3*m. Calculate the remainder when j is divided by m.
13
Suppose 50*u - 782 = 47*u + 4*s, -5*s = 10. Calculate the remainder when 14187 is divided by u.
255
Let g be (-1)/2*-2 - 1. Let a = -3573 - -3575. Calculate the remainder when (14 - -58) + (a - g) is divided by 15.
14
Let j(p) = p**2 - 3*p - 95. What is the remainder when j(-15) is divided by 23?
14
Let g = -3715 + 3723. Calculate the remainder when 100 is divided by g.
4
Let y(n) = -13*n - 283. Let m be y(-33). Let j = 195 - m. Calculate the remainder when j is divided by 14.
7
Suppose 25*t - 71 = 29. Suppose -3*m + 2*w = -53, 0 = t*w + w + 5. What is the remainder when 47 is divided by m?
13
Let t(m) = -32*m + 232. Let y = 41 - -37. Calculate the remainder when y is divided by t(7).
6
Let r = -81 - -263. Suppose 3*f - r = -44. What is the remainder when f is divided by 18?
10
Let u = -221 - -291. Let v = u - 53. Calculate the remainder when 202 is divided by v.
15
Suppose 52*u - 2495 = 1024 + 3657. Calculate the remainder when 971 is divided by u.
5
Suppose -248*m - 246*m + 492*m = -212. Calculate the remainder when m is divided by 20.
6
Suppose 5*b + 3*a = -0*a - 464, -b - 104 = -5*a. Let d = -60 - b. Let p = d + -23. Calculate the remainder when 16 is divided by p.
5
Suppose 14*y + 5*y - 364 = 320. Calculate the remainder when y is divided by 22.
14
Suppose -210 = 5*g - 205. Let i(q) = -14*q - 1. Calculate the remainder when i(g) is divided by 4.
1
Let z = 76 + -65. Let k = z - 17. What is the remainder when 22 is divided by ((-2 + 8)/(-2) - -2)*k?
4
Let s be 2*(-4)/(-2) - -733. Suppose 1638 = 5*m - s. Suppose 3*g - m = -2*g. What is the remainder when g is divided by 32?
31
Suppose -13*y + 82*y - 131 = 214. What is the remainder when 1949 is divided by y?
4
Suppose u - 3*u = -5*n - 22, -4*u = -4*n - 32. Calculate the remainder when u is divided by (-2 - 0 - -1)*(65 - 68).
0
Let k = -314 - -353. Suppose -32*w = -k*w + 70. What is the remainder when 246 is divided by w?
6
Let j(m) = -3*m - 11. Let y(i) = -7*i + 15. Let h be y(4). Let a be j(h). Let x = a - -28. Calculate the remainder when x is divided by 15.
11
Let u(j) = 43*j + 142. Let m(a) = -22*a - 70. Let x(l) = 9*m(l) + 4*u(l). Calculate the remainder when x(-15) is divided by 22.
20
Let a = 32 - 30. Let l be a/4*8 - -21. Let c = 32 + l. Calculate the remainder when c is divided by 10.
7
Let f be 54 - (-5 + 9 - 10). Suppose -18*k + 14*k = -f. Suppose 0 = -3*i - 5*q + 482, -3*i + 2*q = -103 - 393. What is the remainder when i is divided by k?
14
Suppose -h = 5*v + 91 - 13, 0 = -2*h - v - 111. What is the remainder when 121 is divided by (h/1)/(7 + -8)?
15
Suppose -64*x = -28*x + 87*x - 19803. Calculate the remainder when x is divided by 80.
1
Suppose -2*f - 5*a = -295, 17*a - 433 = -3*f + 19*a. What is the remainder when 1156 is divided by f?
141
Let x = 7074 - 7052. What is the remainder when 772 is divided by x?
2
Suppose 3*u - 29 = 7. Let s be 1/1*(-2669)/17. Let m = -63 - s. What is the remainder when m is divided by u?
10
Suppose k - 2*j - 28 = 0, -6*k + 4*j + 92 = -2*k. Let v(c) = 9*c**2 + 3. What is the remainder when v(-3) is divided by k?
12
Suppose 4*k = -3*t + 182, 2*k = 13 - 3. Let o = 81 + -73. Calculate the remainder when t is divided by o.
6
Suppose -67*y = -33*y + 20*y - 42012. Calculate the remainder when y is divided by 60.
58
Let f(y) = y**2 - 7*y - 282. What is the remainder when f(36) is divided by 4?
2
Let d(k) = 6*k**2 + 2*k - 2. Let l be (9/(-12))/((-6)/456). Let s = 55 - l. What is the remainder when d(s) is divided by 4?
2
Suppose 0 = 4*h + s - 13, -7*h + 6*s = -5*h. What is the remainder when 1549 is divided by h?
1
Let r = 5 + -5.