+ 6. Let o be i(8). Let d be (-10)/(-4)*(-36)/o. What is the remainder when 15/d - 12/18 is divided by 1?
0
Let q(p) = 3*p**2 + 123*p - 50. Calculate the remainder when 529 is divided by q(-42).
73
Suppose -5*n - y = -20, 1 = 4*n + y - 15. Calculate the remainder when 76 + -4*n/(-8) is divided by 6/(-21) - (-191)/7.
24
Let m(i) = -i**3 + 7*i**2 - 6*i + 4. Suppose 2*c + 2*c = -4*l + 484, 581 = 5*l - 3*c. What is the remainder when l is divided by m(5)?
22
Suppose 1180 = 5*a + 350. Suppose -a = -3*f + 6*t - 2*t, t + 254 = 5*f. Calculate the remainder when f is divided by 14.
8
Let o = 43 - 27. Suppose -4*z = o, -4*u - 5*z = -5*u + 73. What is the remainder when u is divided by 7?
4
Let n = -2044 + 2268. Calculate the remainder when n is divided by 6.
2
Suppose f + f - 5*j = 12, -3*j = 12. Let h(o) = 3*o**2 + 12*o + 32. What is the remainder when h(f) is divided by 17?
15
Suppose 2*k = -5*j - 0*k + 47, -4*j + 4*k + 32 = 0. Let o = -36 + 50. Calculate the remainder when o is divided by j.
5
Let a(r) be the third derivative of 10/3*r**3 - 3*r**2 + 1/60*r**5 + 0*r - 1/3*r**4 + 0. What is the remainder when a(6) is divided by 3?
2
Suppose -2*h + 6*h - 32 = 0. Suppose -2*x = -0*r - 3*r - 80, 4*r - h = 0. What is the remainder when x is divided by (-5)/((-5)/(-2)) - -25?
20
Let p = 60 + -38. Let v(g) = 2*g**3 - 30*g**2 + 102*g - 14. What is the remainder when p is divided by v(10)?
4
Suppose 3*z - 4*b - 115 = 0, -z + 3*b + 45 = -0*z. Suppose 4*d - z = 7. Calculate the remainder when 24 is divided by d/1 + 3/1.
11
Suppose -6*g + 132 = -2*g. Let d = 82 - g. Let t = d - 33. Calculate the remainder when t is divided by 6.
4
Suppose -10 = -6*v - 22. Calculate the remainder when 73 is divided by 19/(1/(-2)*v).
16
Suppose -6*x + 2*x + 4*n = 0, x + 3*n = -16. Suppose -4*p + 5*l = -67, -12 = -2*l + 6*l. What is the remainder when (x + 136/16)*(-34)/(-3) is divided by p?
12
Let w(s) = s - 1. Let k(o) = -1. Let q(a) = 10*k(a) - 5*w(a). Suppose 159*z + 6959 - 22382 = 0. What is the remainder when z is divided by q(-6)?
22
Let t(u) = 4*u + 7. Let n be t(2). Suppose 0 = -n*f + 9*f + 702. Calculate the remainder when f is divided by 40.
37
Suppose 31*g - 34*g - 18 = -3*x, -6 = -2*x - g. Let m = -29 + 48. What is the remainder when m is divided by x?
3
Let m = -742 + 761. Calculate the remainder when 150 is divided by m.
17
Let i(j) = -11*j**3 - 2*j**2 - 3*j - 5. What is the remainder when i(-2) is divided by 28?
25
Let f = -2535 + 11719. What is the remainder when f/84 + (-1 - (-10)/6) is divided by 8?
6
Let a(p) = -24*p. What is the remainder when a(-1) is divided by 3?
0
Let l(t) = -t**3 + 2*t**2. Let c be l(2). Suppose -2*y + 3*f - f + 110 = 0, 2*y = -2*f + 90. What is the remainder when y is divided by 17 + c + 0/8?
16
Suppose -890 + 3442 = 58*n. What is the remainder when 132 is divided by n?
0
Let k = 11 + -9. Let n(q) = 12*q - 2. Calculate the remainder when n(k) is divided by 4.
2
Let l(y) = y + 9. Let d be l(10). Suppose -5*z + 11 = -d. What is the remainder when 15 is divided by 4/(-12) - (-26)/z?
3
Suppose -i + 4*p - 34 = -3*i, 0 = -p - 1. Calculate the remainder when 207 is divided by i.
17
Let t be 278/(-10) - (-12)/(-60). Let n = -9 - t. Calculate the remainder when n is divided by 5.
4
Let w be 1/3 + 2 + (-1)/3. Suppose -26 = -2*g - 0*g + w*b, 0 = 5*b + 10. Calculate the remainder when g is divided by 7.
4
Suppose -21*q + 945 = 14*q. What is the remainder when 239 is divided by q?
23
Let g(f) = 2*f + 84. Suppose -2*c = -4*c + 44. Calculate the remainder when c is divided by g(-36).
10
Suppose -82*m + 88*m = 366. Calculate the remainder when 176 is divided by m.
54
Let l(u) = u - 6. Let v(x) = x**3 - 12*x**2 + 3*x - 1. Calculate the remainder when v(12) is divided by l(19).
9
Let l(b) = -8*b - 6. Suppose 0*h + 42 = -5*d + h, -5*d = -5*h + 50. Calculate the remainder when l(d) is divided by 20.
18
Suppose -w + 3*b = 5 + 6, 3*w + 1 = b. Let m(q) = 9*q + 1. Let g = -12 + 35. What is the remainder when g is divided by m(w)?
3
Suppose -14*h = -10*h - 248. What is the remainder when h is divided by 41?
21
Let w = 16 - 4. Let l be (16/w + -1)*123. Suppose 4 = -b + 5*o, -b + 2*b - l = -4*o. Calculate the remainder when 62 is divided by b.
20
Let y be (-4 + 5)*(0 - 0). Suppose 2*v + v - 39 = y. What is the remainder when (-134 + -19)*(-3)/9 is divided by v?
12
Let i = 765 - 719. Let m(f) = 5*f - 1. What is the remainder when i is divided by m(5)?
22
Suppose w + 4*m - 20 = 35, w = m + 45. Let k(q) = q**2 + q - 6. What is the remainder when w is divided by k(-6)?
23
Let u(m) = 20*m - 19. What is the remainder when 523 is divided by u(2)?
19
Let f(n) = n**2 - 2*n - 1. Let c be f(-1). Let o(g) = -5 + 7*g**c - 7*g**2 + 2*g**3 - 2*g**2 + 0*g**2. Calculate the remainder when o(4) is divided by 23.
22
Let q be 0 + -1 - (6 - 1). Calculate the remainder when ((-2)/q)/(9/459) is divided by 9.
8
Let y(l) = 3*l**2 + l + 27. Calculate the remainder when 106 is divided by y(0).
25
Suppose 2*z + 8 = 0, -6*o + 8*o - 46 = -z. Calculate the remainder when 47 is divided by o.
22
Suppose 20 = -4*l, -72 = -2*u + 5*l - 7. Calculate the remainder when 68 is divided by u.
8
Let f = 2 + 17. Let b(u) = 3*u + 95. What is the remainder when f is divided by b(-30)?
4
Suppose 4*m + 25 = s, -s + 2*m = 7*m - 7. Calculate the remainder when 36 is divided by s.
2
Let f(s) = 3*s - 21. Let a = -20 + 31. What is the remainder when 22 is divided by f(a)?
10
Let y(r) = -2*r**2 - 19*r + 14. Calculate the remainder when 341 is divided by y(-7).
47
Let p be (6 + 0)/((40/(-4))/(-5)). Suppose 0 = -5*b + 5, -2*b = -p*a + 60 + 10. What is the remainder when a is divided by 14?
10
Let v(a) = -11*a**2 + a + 4. Let n be v(-3). What is the remainder when n/(-4) + 9/(-6) is divided by 12?
11
Let t(w) = 2*w**3 - 27*w**2 - 10*w - 49. Calculate the remainder when t(14) is divided by 1.
0
Let u(i) = 43*i**3 - 4*i**2 + 4*i - 8. Calculate the remainder when u(2) is divided by 15.
13
Let j(g) = g**3 - 22*g**2 + 21*g. Let m be j(21). Suppose -4*u + 30 = -5*o - 32, 5*u + 2*o - 61 = m. Calculate the remainder when 16 is divided by u.
3
Let z = 97 - 85. Calculate the remainder when 92 is divided by z.
8
Suppose 3*h - 34 = 14. Let x(p) = 93*p + 1405. What is the remainder when h is divided by x(-15)?
6
Let p = 759 + -741. What is the remainder when p is divided by 3?
0
Let v(q) = 8*q + 527. What is the remainder when v(-23) is divided by 50?
43
Calculate the remainder when (0/1 + 159)*(-108)/(-162) is divided by 17.
4
Suppose -6*d - 1120 = -10*d. Let o be d/15 - 6/9. Suppose -2*m + 11 = -g, 0 = m - 5*m - 2*g + o. What is the remainder when 18 is divided by m?
3
Suppose -2*y - 3*q + 3 = 0, 0*y + 2*q = -y. Suppose -h - 10 = -y*h. Suppose -29 = -h*j - 3. What is the remainder when j is divided by 7?
6
Suppose 5*p = -z + 49, z + 38 - 117 = 5*p. What is the remainder when z is divided by 10?
4
Let b be 2*-38 + (-28 - -30). What is the remainder when 20 is divided by b/(-7) + 15/35?
9
Let o(a) = 3*a**2 - 34*a + 34. What is the remainder when 61 is divided by o(12)?
3
Let r(u) = 15*u**2 - 192*u - 26. Let d be (0 - 10)/(0 + 1). What is the remainder when r(13) is divided by (d + 2/1)/(-1)?
5
Suppose 6*w = -14*w - 1000. Let t = w - -83. Calculate the remainder when 64 is divided by t.
31
Suppose -5*w + 61 = 4*v, 4*v - 51 = -7*w + 12*w. Calculate the remainder when 41 is divided by v.
13
Let t be 200/56 - 9/(-21). Suppose o = -2*m + 21, -3*m = -0*m + t*o - 19. Calculate the remainder when 64 is divided by m.
12
Suppose 0 = -18*v - 10*v + 2380. Calculate the remainder when v is divided by 29.
27
Let g = -709 + 734. Suppose 8 - 44 = 3*p. Let k = p - -21. What is the remainder when g is divided by k?
7
Let u be (28/(-6))/(3/(-27)). Suppose 2 = -5*s + u. What is the remainder when 46 is divided by s?
6
Let s(z) = 6*z**2 + z + 1. Calculate the remainder when 13 + 4 + 2 + -2 is divided by s(-1).
5
Suppose 39*b - 253 = 215. Calculate the remainder when 20 is divided by b.
8
Suppose 3300*v = 3295*v + 950. Calculate the remainder when v is divided by 48.
46
Let w = -220 + 479. Calculate the remainder when w is divided by 13.
12
Suppose -6 - 22 = -2*v. Let d(o) be the third derivative of o**5/60 - o**4/3 + 4*o**3/3 - 5*o**2. Calculate the 