*q. Let i = q - -2. Suppose -5*t = 4*p - p - 35, -4*t + 28 = 3*p. What is the remainder when t is divided by i?
1
Suppose 0 = -3*j + 9 + 21. What is the remainder when j is divided by 4?
2
Suppose -z - 8 = -3*l, 0*l + 5*z + 28 = 3*l. Suppose 7*v + 12 = 13*v. Calculate the remainder when v is divided by l.
0
Let q be (-8)/(-36) - 248/(-18). Let u = -9 + q. Calculate the remainder when 18 is divided by u.
3
Suppose 0 = -q + 4*q + 4*n - 30, 5*q - 3*n - 79 = 0. Calculate the remainder when 55 is divided by q.
13
Let y = 19 - 41. Let f = y - -32. Calculate the remainder when f is divided by -1 - 5/(-1*1).
2
Let c(x) = -x**2 - 11*x - 7. Calculate the remainder when 29 is divided by c(-9).
7
Let y(o) = o**2 - 20. What is the remainder when y(10) is divided by 41?
39
Suppose n + 0*n = 19. Calculate the remainder when 73 is divided by n.
16
Let p(d) = -d**2 + 29*d - 40. Calculate the remainder when p(23) is divided by 20.
18
Suppose 4*s - 278 = 3*p + 21, 2*s - 117 = -5*p. What is the remainder when s is divided by 21?
8
Let r(f) = -f**3 + 6*f**2 + 9*f - 9. Let v be r(7). Let i = 13 - v. Calculate the remainder when 30 is divided by i.
6
Suppose -18*b + 44 = -16*b. Calculate the remainder when b is divided by 6.
4
Suppose -n - 1 = -4*s, -s - 3*n = 10 + 6. Let k be (-2 - (1 - -40)) + s. What is the remainder when 13 is divided by (-1)/3 + k/(-6)?
6
Suppose 0 = 5*s - 2*d + 20, 0*s - 3*d = 2*s + 27. What is the remainder when -8*(1 - (-21)/s) is divided by 7?
6
What is the remainder when 90/4 - 6/12 is divided by 5?
2
Let z = 31 + -7. What is the remainder when 69 is divided by z?
21
Suppose 0 = 5*n + 6 - 1. Let c be (n/2)/((-3)/12). Suppose c*z + 3 = 7. Calculate the remainder when 3 is divided by z.
1
Suppose 0 = -3*g - 2*g - 20. Calculate the remainder when 640/8 + g*1 is divided by 26.
24
Let i = 23 + -16. Let y = -10 + i. Let j(w) = -w**2 - 4*w - 2. What is the remainder when 1 is divided by j(y)?
0
Let d = 10 + -3. Let j(g) be the first derivative of g**4 - g**3/3 + g**2/2 - g - 5. Calculate the remainder when d is divided by j(1).
1
Let u(l) = 79*l - 3. Let s be u(1). Let o = s - -12. Calculate the remainder when o is divided by 30.
28
Let z = 44 + -20. What is the remainder when 44 is divided by z?
20
Let f be 1/(4/5)*4. Suppose -f*v = -2*r + 28 + 17, -r = v - 19. Calculate the remainder when r is divided by ((-2)/4)/(4/(-88)).
9
Suppose 4*v = 37 + 19. Let a = 8 + v. Let c(n) = n**2 + n + 2. Calculate the remainder when a is divided by c(2).
6
Suppose -40 = -0*f - 2*f. Let z(p) = -p**3 - 7*p**2 - p + 7. Let v be z(-7). Calculate the remainder when f is divided by v*1 - (-9)/(-3).
9
Let k = 0 + 1. What is the remainder when (0 + k)*2 + 27 is divided by (4 - 2)/2 - -14?
14
Let k = -1 + 4. Let a(p) = p**3 + 2*p**2 + p + 4. What is the remainder when a(k) is divided by (12/(-5))/(10/(-75))?
16
Let x(k) = -k**3 + 6*k**2 - k - 7. Suppose -24 = 5*o + y, -2*y - 12 + 4 = 0. Let r be (-27)/(-5) - o/(-10). What is the remainder when 24 is divided by x(r)?
11
Let m = 20 - 7. Calculate the remainder when 35 is divided by m.
9
Let z(h) = h**3 - 2*h**2 + 2*h + 2. Suppose 5*b - 9 - 11 = 0. Suppose 2 = l - b. Calculate the remainder when z(3) is divided by l.
5
Suppose 9*z = 7*z + 52. Calculate the remainder when z is divided by 10.
6
Calculate the remainder when (-4)/((-8)/126) - 3 is divided by 21.
18
Let v be (2 - (-2)/(-1))*1. Suppose r = -v*r. Suppose y + r*y - 40 = 0. Calculate the remainder when y is divided by 14.
12
Let k(z) = -z**2 + 7*z - 8. Calculate the remainder when k(5) is divided by 1.
0
Suppose -13 = -3*j - 5*p, -5*j = -0*j + 4*p - 26. What is the remainder when j is divided by 6?
0
Suppose 20*a - 16*a - 284 = 0. Calculate the remainder when a is divided by 38.
33
Let z = -132 + 187. Calculate the remainder when z is divided by 8.
7
Let r(h) = h**3 - 7*h**2 + 3*h - 5. Calculate the remainder when r(7) is divided by 9.
7
Let w = -110 - -219. Calculate the remainder when w is divided by 28.
25
Let p = -57 + 30. Let q = 53 - 101. Let l = p - q. What is the remainder when 61 is divided by l?
19
Let r(u) = -u + 1. Let m(h) = -3*h + 14. Let b(d) = m(d) - 4*r(d). Let j = -8 - -26. What is the remainder when j is divided by b(0)?
8
Suppose 6*j + 12 = 3*h + 3*j, -4*h + 17 = -3*j. Suppose 0 = -2*y + 3*l + 36, -h*y - l = -5*l - 90. What is the remainder when 32 is divided by y?
14
Suppose 5*c - 117 + 17 = 0. Suppose -v - 21 = -4*v. What is the remainder when c is divided by v?
6
Suppose 2*u - 15 = -4*k + u, -3*u + 5 = 4*k. Suppose 29 = 3*n - k*r - 26, 25 = -5*r. Calculate the remainder when 17 is divided by n.
7
Let i(h) = -h**2 + h**2 - 6*h - h**2 + 8. Let r be i(-7). What is the remainder when 37 is divided by (r*-2 + 1)*-13?
11
Let j(n) = n**2 + 2*n + 1. Let u be j(-5). Let t = u + -2. Calculate the remainder when (0 + 54/(-15))/((-7)/105) is divided by t.
12
Let h = -165 - -181. What is the remainder when 44 is divided by h?
12
Let g(y) = -3*y - 3. Let a(c) = -2*c**2 - c + 1. Let d be a(1). Calculate the remainder when 4 is divided by g(d).
1
Let b = -8 - -11. Suppose -14 - 1 = -b*s. Suppose 4*y = 2*y + 6. Calculate the remainder when s is divided by y.
2
Suppose 3*v = 4*v - 7. What is the remainder when v is divided by 6?
1
Let v = 33 + -21. Suppose 2*p = -u + 4*p + 28, 4*u = -3*p + 79. What is the remainder when u is divided by v?
10
Let c(a) = 32*a**2 + 3*a + 2. Suppose 0*j = -3*y + 3*j + 39, -29 = -3*y - 2*j. What is the remainder when c(-1) is divided by y?
9
What is the remainder when (22/10)/((-1)/(-5)) is divided by 3?
2
Let y(q) = -q**3 - 8*q**2 - 7*q + 8. Suppose 3*m + 4 = 19. Let a = -2 - m. What is the remainder when y(a) is divided by 3?
2
Let y(g) = -g**2 + 20. Suppose 4*z + j - 390 = 0, 2 - 4 = j. Calculate the remainder when z is divided by y(0).
18
Let s = -1 - -10. What is the remainder when 23 is divided by s?
5
Suppose -2*o - t - t = -16, -47 = -4*o - t. What is the remainder when 77 is divided by o?
12
Let z be (3/4)/(6/24). Suppose -z*u = -46 - 8. What is the remainder when 51 is divided by u?
15
Let k = -5 - -9. Suppose -3*o - 424 = -2*g + o, 1054 = 5*g - k*o. Suppose 4*v + 6 = v, 5*u + 5*v = g. Calculate the remainder when u is divided by 15.
14
Suppose 25 = 4*m - 7. Suppose 131 + 45 = 8*c. What is the remainder when c is divided by m?
6
Suppose 79 = 2*z + 7. Calculate the remainder when z is divided by 13.
10
Calculate the remainder when 84 is divided by (-6 + 4)/((-6)/87).
26
Suppose 2*a = -5*w - 10, -4*a - w = -4*w + 46. Let l = 52 + a. Suppose -i + 7*z - 2*z + l = 0, -2*i + 98 = 4*z. What is the remainder when i is divided by 12?
11
Let c be (1 + (-120)/3)*-1. Suppose 4*m - c = 5. Let s = -6 + m. Calculate the remainder when 13 is divided by s.
3
Suppose 7*m = 2*m + 85. Calculate the remainder when m is divided by 7.
3
Let d(i) = 2*i**2 - 5*i - 5. Let r be d(4). Let k = 2 + r. What is the remainder when k is divided by 4?
1
Suppose -13 + 3 = -5*f. What is the remainder when (-83 - f)*2/(-5) is divided by 12?
10
Let l(d) = -2*d - 1. What is the remainder when 32 is divided by l(-9)?
15
Let s be 4/18 + 620/45. Let n(i) = -i**3 + 14*i**2 + 9. Let d(t) = -t**3 + 4*t**2 - 4. What is the remainder when n(s) is divided by d(3)?
4
Suppose -2*v - 73 = -3*s, -2*s + 32 = -0*s + 2*v. What is the remainder when 41 is divided by s?
20
Let f(v) = v**2 - 6*v - 3. Suppose 5*u + 13 = 2*a, -u - 29 = 4*a - 0*a. Let q = 11 + a. What is the remainder when f(-2) is divided by q?
3
Let u be 15 + 0 + -1 + -2. Suppose u = 5*v - v. Calculate the remainder when (v/(-5))/((-3)/45) is divided by 4.
1
Let z = -22 - -78. Suppose 33 = 9*w - 6*w. Suppose 5*k - 61 = 3*x + w, 0 = -5*k - x + z. What is the remainder when k is divided by 5?
2
Suppose 5*x + 2*k + k - 158 = 0, 3*x - 82 = -5*k. Calculate the remainder when x is divided by 18.
16
Let f(y) = -13*y - 3. Let k be f(-2). Suppose -2*w - 5*d = -k - 0, -2*w + 5*d = -13. Calculate the remainder when 33 is divided by w.
6
Suppose -6*p + 2*p - 68 = 0. Let o = 34 + p. Calculate the remainder when o is divided by 9.
8
Let x be (50/(-1))/((-10)/5). Let g = 44 - x. What is the remainder when 75 is divided by g?
18
Suppose 1 = x - 3. Suppose -c + 55 = x*c. Calculate the remainder when 32 is divided by c.
10
Let