 remainder when x(8) is divided by z?
16
Suppose -4*t + 154 - 30 = 0. Suppose -5*p = -3*p - y - 89, 0 = -4*p - y + 175. Suppose 6*q - 22 = p. Calculate the remainder when t is divided by q.
9
Suppose 6*w + 104 - 170 = 0. Calculate the remainder when 251 is divided by w.
9
Suppose 22*a - 18*a = 148. Calculate the remainder when a is divided by 19.
18
Let p(f) = f**3 + 8. Suppose -4*j + 17 = 4*m - 111, 2*j - 61 = -m. Calculate the remainder when j is divided by p(0).
5
Suppose 13*h - 5*h = 1520. Calculate the remainder when h is divided by 24.
22
Let f = -81 + 177. What is the remainder when f is divided by 9?
6
Suppose -2*w - w + 6 = 0, 3*d - 5*w - 608 = 0. What is the remainder when d is divided by 72?
62
Let b = -229 + 368. What is the remainder when b is divided by 18?
13
Let a(v) = 2*v**2 - 4*v + 8. Suppose 0 = 5*r - y - 2*y - 704, 2*y + 562 = 4*r. Suppose 4*f - r = -23. Calculate the remainder when a(6) is divided by f.
27
Let b be 44/3 - (-2)/(-3). Let f be 8 - (-1 + 6 + 0). Suppose -b = f*d - 68. Calculate the remainder when d is divided by 7.
4
Let z = 25 - 20. What is the remainder when 12 is divided by z?
2
Let m = 800 - 575. Calculate the remainder when m is divided by 46.
41
Suppose 16*a = 119 + 537. Calculate the remainder when a is divided by 6.
5
Suppose -4*r + 12 = 0, 4*w + 2*r + 1 = 5*r. Suppose -6 + w = -l. Let v(b) = 2*b**2 - b + 1. What is the remainder when v(l) is divided by 10?
9
Let j = 488 - 344. What is the remainder when j is divided by 37?
33
Suppose 4*o - 382 = -178. Calculate the remainder when 151 is divided by o.
49
Suppose 0*y - 4*y + 248 = 0. Suppose 184 = 3*v - q, -2*q - 335 = -5*v - 6*q. Suppose 10*c + v = 13*c. Calculate the remainder when y is divided by c.
20
Calculate the remainder when 285 is divided by 10 + (27/(-12))/((-3)/4).
12
Let b be (23/3)/((-5)/30). Let j = 102 + b. What is the remainder when j is divided by 24?
8
Let i = -207 - -316. What is the remainder when i is divided by 28?
25
Let p(x) = x**3 + 5*x**2 - x - 2. Let z = -5 + 17. What is the remainder when p(-3) is divided by z?
7
Let n = 10 + 28. Suppose -2*h - 3*h = -2*k - 739, 5*k - 15 = 0. What is the remainder when h is divided by n?
35
Suppose 4*z = 4*h - 6 - 10, -2*z + 2 = 0. Suppose 2*r + 32 = 2*m, 0 = -4*m + m + h*r + 40. What is the remainder when m is divided by 3/((-2)/2) + 14?
9
Suppose 10*q = 50*q - 560. Let d = 4 - 6. Let r = 2 - d. What is the remainder when q is divided by r?
2
Let f be 2/(-4 + 202/51). Let p = f + 94. Suppose 3*w = 8 + 19. What is the remainder when p is divided by w?
7
Let f = 647 + -202. What is the remainder when f is divided by 90?
85
Let a = -27 - -34. Suppose -a*r = -9*r + 14. What is the remainder when 47 is divided by r?
5
Let m = 19 + -11. What is the remainder when (-14)/35 + 681/15 is divided by m?
5
Suppose -3*f - 4*c + 21 = -c, -3*c + 27 = 5*f. What is the remainder when 4 is divided by f?
1
Let n(w) = -6*w + 3. Suppose -5*x + d - 20 = 0, 4*x + 0*d = -d - 7. Let j = x + 7. What is the remainder when n(-2) is divided by j?
3
Let w = -54 + -34. Let d = -59 - w. Let a(n) = n**3 - 4*n**2 - n - 4. Calculate the remainder when d is divided by a(5).
13
Let q be ((-14)/2 - -2)/(-1). Suppose 3*a = a + m + 83, 0 = 4*a - q*m - 169. Calculate the remainder when a is divided by 11.
8
Let y = 115 + -64. Calculate the remainder when 135 is divided by y.
33
Let t(h) = 2*h**2 - 5*h + 2. Suppose 14 = v - 2*s, -4*s - s = -v + 29. Let x be t(v). Calculate the remainder when 58 is divided by 212/7 + (-4)/x.
28
Let g = -14 - -17. Suppose -g*f + 76 + 104 = -4*q, 180 = -4*q + 2*f. Let s = -3 - q. Calculate the remainder when s is divided by 15.
12
Suppose 4*r = 6*j - 2*j + 380, 0 = -r. Let y = -63 - j. Calculate the remainder when y is divided by 11.
10
Suppose -17*r + 754 = 227. Calculate the remainder when 182 is divided by r.
27
Let m = 271 + -186. Let w(d) = d**3 + 8*d**2 + 11*d + 2. Calculate the remainder when m is divided by w(-5).
19
Let z(x) be the second derivative of 4*x**3/3 + x**2/2 - 7*x. Calculate the remainder when 27 is divided by z(2).
10
Suppose -3*n + 8*n = 355. Let d = -38 + 75. Calculate the remainder when n is divided by d.
34
Let t(n) = -84*n - 2. Let f = 84 - 61. Calculate the remainder when t(-1) is divided by f.
13
Let b(d) = 28*d - 81. What is the remainder when b(21) is divided by 85?
82
Calculate the remainder when 269 is divided by (15/(-4))/((-35)/168).
17
Suppose -59*q - 492 = -71*q. What is the remainder when 67 is divided by q?
26
Let k(w) be the third derivative of -6*w**2 + 1/12*w**4 - 4/15*w**6 + 0 + 0*w + 1/6*w**3 + 0*w**5. What is the remainder when 91 is divided by k(-1)?
29
Let w(q) = 9*q**3 - 7*q**2 + 7*q + 2. Let i(g) = -5*g**3 + 3*g**2 - 3*g - 1. Let d(p) = -5*i(p) - 2*w(p). Calculate the remainder when 13 is divided by d(1).
5
Let p(u) = 22*u - 300. Calculate the remainder when 38 + (1 - 2) + 2 is divided by p(14).
7
Suppose 0 = 24*t + 19*t - 258. Calculate the remainder when 75 is divided by t.
3
Suppose 608 = 28*d - 20*d. Calculate the remainder when d is divided by 39.
37
Calculate the remainder when (7 - -622) + -2*(1 + 0) is divided by 21.
18
Suppose 77*v - 75*v = 0. Let d = 13 + v. Calculate the remainder when 23 is divided by d.
10
Suppose -10*j - 71 + 221 = 0. Calculate the remainder when 69 is divided by j.
9
Suppose -4*f = 2 - 62. Calculate the remainder when f is divided by 12.
3
Let i(l) = l**3 + 3*l**2 - 2*l - 2. Let h be i(-3). Suppose h*r + 0 = 60. Suppose -7*f = -3*f - 116. Calculate the remainder when f is divided by r.
14
Suppose 0 = 5*l, 67*w - 66*w + l = 156. Calculate the remainder when w is divided by 80.
76
Let t(a) = -a**2 + 22*a + 27. Let q be t(19). Suppose 0 = p + 5*f - 64, -3*p + 4*f + 13 + q = 0. What is the remainder when p is divided by 10?
9
Suppose -12 = 4*n - 20. Suppose 2*j - 3*l - n = j, 5*j - 5*l = -30. Calculate the remainder when 7 is divided by (12/(-20))/(2/j).
1
Let l(u) = 87*u - 945. Calculate the remainder when 302 is divided by l(11).
2
Let h(k) = -k**2 + 2*k + 13. Let v(t) = -8*t. What is the remainder when h(0) is divided by v(-1)?
5
Calculate the remainder when 195 is divided by (1972/145)/(1/5).
59
Suppose z + 15 = c + 2*c, 10 = 2*c + z. Let n be (4/6)/(2/513). Suppose -15*r + n = -6*r. Calculate the remainder when r is divided by c.
4
Let l(u) = 11*u**3 + 2*u - 1. Let d(x) = 3*x + 25. What is the remainder when d(3) is divided by l(1)?
10
Let p(h) = 12*h - 23. Let z(c) = 25*c - 47. Let t(n) = -5*p(n) + 3*z(n). What is the remainder when t(8) is divided by 48?
46
Suppose 42 - 56 = -2*y. Let r(c) = c**2. Let w(k) = 5*k - 5. Let a(j) = 2*r(j) - 2*w(j). What is the remainder when a(y) is divided by 10?
8
Let h = -9 - -11. Let p = -19 - -33. What is the remainder when 26 is divided by (p/(-21))/(h/(-27))?
8
Suppose -5 = 4*c - 5*i, -4*c + 0*i + 35 = 3*i. Calculate the remainder when 114 is divided by c.
4
Suppose 4*i - 159 = 225. Suppose 3*y + y - x - i = 0, -72 = -3*y - 2*x. What is the remainder when 68 is divided by y?
20
Suppose 0 = 4*w - 8 - 20. Let z = w - 2. Suppose 3*h = -0*c + 2*c + 39, 0 = -z*c. Calculate the remainder when 37 is divided by h.
11
Let i(r) = 3*r + 15. Let y be i(8). Suppose 3*z + y = o - z, -2*z - 4 = 0. Calculate the remainder when o is divided by 17.
14
Let w(k) = -29*k - 3 + k**2 - 6 + 12*k. What is the remainder when 43 is divided by w(18)?
7
Suppose 0*z + 4*z = 4*u + 4, -4*u = z + 9. Let p be ((-154)/7)/(z/2). Suppose 0 = 5*w - p - 31. What is the remainder when w is divided by 9?
6
Suppose 0*t + 332 = 4*t. What is the remainder when t is divided by -14*((-1)/(-2))/((-13)/52)?
27
Suppose 5*a = 39*a - 102. Let w = 0 - -2. Calculate the remainder when 1/w - (-57)/6 is divided by a.
1
Suppose 7*y - 448 - 329 = 0. What is the remainder when y is divided by 10?
1
Let w(i) = 16*i + 5. Let p(f) = -f**3 + 9*f**2 - 2*f + 25. Calculate the remainder when p(7) is divided by w(2).
35
Let b = -23 - -46. Let o be 5/((-5)/(-236)) - (3 + -1). Let l = 346 - o. What is the remainder when l is divided by b?
20
Suppose -8*b + 495 = 143. What is the remainder when 128 is divided by b?
40
Let x = 2789 + -2715. Calculate the remainder when 287 is divided by x.
65
Let u = -29 - -21. Let n = u - -26. What is the remain