 Suppose -3*y = s - 8, -y - 30 = -2*s - 35. What is the remainder when n is divided by y?
0
Suppose 3*v + 42 = 17*v. Suppose 2*t + 171 = w, v*t + 334 + 370 = 4*w. What is the remainder when w is divided by 45?
44
Let a(k) = -3*k**2 - 12*k - 1. Let o be a(-5). Let g = -4 - o. What is the remainder when 81 is divided by g?
9
What is the remainder when 204/(-170)*(-110)/4 is divided by 16?
1
Let w(c) = -c**2 - 7*c - 6. Let p be w(-5). Suppose -p*f + 53 = 3*o, -6 = -o - 3. Suppose -1442 = -38*a + 154. What is the remainder when a is divided by f?
9
Suppose 336 = 68*k - 64*k. Suppose -314 = -5*v - 4*g, v + g + 22 = k. What is the remainder when v is divided by 17?
15
Suppose -o = -2, -3*g + 108 = -g - 2*o. Calculate the remainder when 1567 is divided by g.
55
Let w = 1179 + -1138. Calculate the remainder when w is divided by 4.
1
Suppose 0 = -5*s + 5*u + 35, 4*u = -15*s + 20*s - 39. What is the remainder when 130 is divided by s?
9
Let a = -215 + 374. Calculate the remainder when a is divided by 51.
6
Suppose p + 16 - 12 = 0. Let q(i) = -2*i**2 - 9*i. Let g be q(p). What is the remainder when 56 is divided by g/(-18) + 789/27?
27
Let h = 646 + -627. Suppose 5*i - 3*s + 7*s = -42, -2*i - 16 = 2*s. Let p = h - i. What is the remainder when p is divided by 16?
13
Let y = 45 - 16. Let p = 2767 + -2681. Calculate the remainder when p is divided by y.
28
Let v(h) = 2*h + 19. What is the remainder when 31 is divided by v(-3)?
5
Let y(h) = 2*h - 2. Let i be y(16). Suppose -6 - i = -3*m. Calculate the remainder when m is divided by 4.
0
Suppose -5*p = -2*g - 4, 0 = 4*g - 0*p - 2*p - 8. Suppose -a + g = -6. What is the remainder when -4*(0 + (-34)/8) is divided by a?
8
Suppose 0 = 4*c - 2*z - 74, -5*z - 6 = c + 3. Suppose 4*k + 13*s - 9*s = 16, s + 5 = 0. What is the remainder when c is divided by k?
7
Let t = 558 - 418. What is the remainder when t is divided by 63?
14
Suppose -3*m + 9 = 0, -2*x - 4*m = m - 77. Calculate the remainder when 103 is divided by x.
10
Let y = 14 - 5. Let k = y - 16. Let i = k - -22. What is the remainder when i is divided by 8?
7
Let h = 61 + -29. What is the remainder when 73 is divided by -2 + 8/(h/84)?
16
Let g(f) = -2*f**3 + 97*f**2 + 55*f - 157. Calculate the remainder when g(49) is divided by 14.
11
Let q be (12/8)/((-1)/(-18)). Let v = 70 - q. Calculate the remainder when v is divided by 11.
10
Let a(h) = 49*h + 1. Let k be a(-1). Let x be 6/4*206/3. Let c = x + k. Calculate the remainder when c is divided by 19.
17
Suppose -3*j - 1242 = -3*z, z + 3*j - 418 = -0*j. Suppose 0 = w - 0*w - g - 115, 5*g = -4*w + z. What is the remainder when w is divided by 16?
14
Let o be 108/16 + 6/(-8). Let p(g) = g + 8. What is the remainder when 55 is divided by p(o)?
13
Let h be (0 - (-15)/(-6))*-2. Let p be ((-63)/h)/(9/(-45)). Suppose -4*s + i = s - 61, 5*s - p = 3*i. What is the remainder when 21 is divided by s?
9
Let w = -168 - -80. Let v = 26 - w. What is the remainder when v is divided by 39?
36
Let o(q) = -1 + 0 + 2 + q**2 + 2*q. Calculate the remainder when o(2) is divided by (-15)/18*(17 - 23).
4
Let c = 24 + -22. Suppose -50 = -c*s - 3*s. What is the remainder when 49 is divided by s?
9
Suppose u = -u - 1740. Let p = -1780 - u. Calculate the remainder when 2/6 + p/(-15) is divided by 16.
13
Let o = 1305 + -1287. What is the remainder when -132*(6/4 - 2) is divided by o?
12
Let h(z) = -9*z + 15. What is the remainder when 29 is divided by h(1)?
5
Suppose -4*o = -5*r + 33, -3*o = 5*r - 9*r + 26. Suppose -r*j - 5*m = -100, j + 150 = 6*j - 5*m. What is the remainder when j is divided by 16?
9
Suppose 0 = -3*w + 558 - 486. Calculate the remainder when -2 - -2 - -1*43 is divided by w.
19
Calculate the remainder when 546 - 6/(-15)*75/(-6) is divided by 16.
13
Let a(q) = q - 9*q**2 + q + 5*q**2. Let y(d) = -3*d**2 + 3*d + 1. Let p(l) = -4*a(l) + 5*y(l). What is the remainder when 19 is divided by p(-7)?
4
Suppose w = 2, 5*a - w - 203 = -0*a. What is the remainder when 162 is divided by a?
39
Let u = -18 + 0. Let j = u + 27. Calculate the remainder when (-123)/j*(-6)/2 is divided by 21.
20
Suppose 4*w = 139 - 35. Let g = 1335 + -1287. Calculate the remainder when g is divided by w.
22
Calculate the remainder when 1044/108*5/((-15)/(-162)) is divided by 11.
5
Suppose -6*z = 4*a - 5*z - 16, 3*z = -a + 15. Suppose -2*p - 2*v + 234 = 0, -a*p = -v + 2*v - 357. What is the remainder when p is divided by 32?
24
Let x(u) = 16*u. Let j be (-12)/(0 + -4) - -51. Suppose 0*s = 6*s - j. What is the remainder when x(1) is divided by s?
7
Suppose -27*q + 66 = -177. What is the remainder when 113 is divided by q?
5
Let a(l) = 6*l + 22. Let i be a(9). Suppose -2*y + i = 4*k, 16 = 4*k - 3*k + 2*y. What is the remainder when 35 is divided by k?
15
Let z(i) be the third derivative of -13*i**4/12 - i**3/6 - i**2. What is the remainder when z(-3) is divided by 16?
13
Suppose 0 = -2*w, 3*g - w + 11 = 2. Let z(y) = -y + 13. Calculate the remainder when -1 - (-114)/(g/(-1)) is divided by z(0).
11
Let b(k) = 5*k - 4. Let p(h) = -6*h + 5. Let z(g) = 5*b(g) + 4*p(g). What is the remainder when 6 is divided by z(4)?
2
Let c = -269 - -321. Calculate the remainder when c is divided by 19.
14
Suppose 0 = -79*z + 99*z - 18880. Calculate the remainder when z is divided by 119.
111
Let i(k) = -2*k**2 + 8*k - 6. Let a be i(9). What is the remainder when 138 is divided by 4/10 - a/10?
8
Let y = 3 - 0. Let k(p) = p**3 - p**2 - 3*p - 3. Calculate the remainder when (-1)/(-4) - (-1 + (-87)/4) is divided by k(y).
5
Let s = 50 + -41. Suppose t + 0 - 3 = 0. Suppose -4*j = t*o - s, -2*j = 3*j. What is the remainder when o is divided by 2?
1
Let k = -2184 - -2257. Calculate the remainder when 200 is divided by k.
54
Let b(s) = 3*s**2 + 7*s. Let o = 11 - 11. What is the remainder when (-150)/(-2) + o + 3 is divided by b(-4)?
18
Let h = -825 + 918. Calculate the remainder when 176 is divided by h.
83
Let c(q) = -q**3 + 4*q**2 + 5*q + 2. Let n be c(4). Suppose n*p + 60 = 24*p. What is the remainder when p is divided by 15/2 + 2/4?
6
Let i = -72 + 81. Calculate the remainder when 170 is divided by i.
8
Suppose -4*n + 681 - 9 = 0. Let j = -4500 - -4517. Calculate the remainder when n is divided by j.
15
Suppose 0 = -0*d - 2*d + 54. Let h(l) = -l**2 - 9*l - 20. Let p be h(-12). What is the remainder when ((-1 - p) + (-4 - -2))/1 is divided by d?
26
Let t be (-492)/30 + (-4)/(-10). Let q = 19 - t. What is the remainder when q is divided by 9?
8
Let f(j) = 7*j. Let k be 2 - 2/(-4)*-2. Let c(m) = 16*m - 203. Calculate the remainder when f(k) is divided by c(13).
2
Suppose -4*b + 16 = 0, 5 - 26 = -u + 3*b. Calculate the remainder when u is divided by 12.
9
Let p be (-5)/(5/2) + 34. Suppose 0 = -4*y + 6*y - p. Calculate the remainder when 45 is divided by y.
13
Let n(a) = -90*a + 2. Suppose j + 0 + 4 = 3*f, -5*f = -5. Calculate the remainder when n(j) is divided by 31.
30
Suppose -3 = -h - x, 0 = -3*h - 0*h - 5*x + 11. Suppose -5*v - 10 = f, h*f + 7 = f - 4*v. What is the remainder when 8 is divided by f?
3
Calculate the remainder when (20/(-50) - (-28)/20) + 277 is divided by 28.
26
Suppose 4*t - 5*c - 84 = -4*c, 0 = -5*c + 20. Calculate the remainder when 81 is divided by t.
15
Suppose 0 = -8*z + 58 - 26. Calculate the remainder when z is divided by 2.
0
Suppose 0 = 5*b - 3*y - 280, -2*b - y + 64 = -b. Suppose -4*z + 101 = -107. Let w = z + -37. What is the remainder when b is divided by w?
14
Let x(y) = -3*y**2 - 13*y - 9. Let v be x(-4). Let f = -2 - v. What is the remainder when 21 is divided by f?
0
Let o = 22 + 31. Let r(j) = -8*j. Let g be r(-5). Let f = g + -22. Calculate the remainder when o is divided by f.
17
Let d(r) = -4*r + 4. Let l(k) = 3*k - 6. Let f be l(3). What is the remainder when 59 + (1 + f - 6) is divided by d(-4)?
17
Suppose 0 = -l - 40 + 39. Let b(x) = -6*x**3 - x**2 + 1. Calculate the remainder when 9 is divided by b(l).
3
Let n(b) = 16*b - 264. What is the remainder when n(29) is divided by 29?
26
Suppose -v = -0*v - 121. Let y(x) = -x**3 + 13*x**2 - 3*x - 77. Calculate the remainder when v is divided by y(12).
28
Suppose 0 = -15*w + 443 + 1717. Calculate the remainder when w is divided by ((-7)/2)/(5/(-70)).
46
What is the remainder when -4 + 11 + -6 + 18