 -z + 23 = -11. What is the remainder when z is divided by 9?
7
Suppose -a + 0*a = 0. Let y be 7 - (-1 + 0 + a). What is the remainder when 11 is divided by y/((2*-2)/(-2))?
3
Let v be (2/(-6))/((-1)/123). Let t = v + -29. What is the remainder when (207/45)/((-1)/(-5)) is divided by t?
11
Let d = -43 + 86. What is the remainder when d is divided by 15?
13
Let i(b) = -b**2 - 10*b - 9. Let y be i(-6). Let t = 9 - y. Let l = t - -23. Calculate the remainder when l is divided by 9.
8
Let g be (0 - 0) + 5 + -2. Suppose -2*r + 314 = 2*z - 0*z, 0 = -r - 2*z + 158. What is the remainder when 2/g*r/8 is divided by 5?
3
Let d(f) = -f + 6. Let v be d(5). Suppose k + v - 16 = 0. Calculate the remainder when 42 is divided by k.
12
Let q be (-6)/(-33) + 768/11. Suppose q = 4*h - 6. What is the remainder when 56 is divided by h?
18
Suppose 5*d = 7*d - 4. Suppose -2*r - 3*y + 61 = 0, r - y - 29 - 14 = 0. Suppose r - 186 = -d*b. What is the remainder when b is divided by 25?
24
Calculate the remainder when 138 is divided by ((-20)/6)/(122/42 + -3).
33
Let q(k) = k**3 - 8*k**2 + 8*k + 2. Let d be q(6). Let f = 36 + d. Let o = 71 + -30. What is the remainder when o is divided by f?
13
Let r = 10 - 7. Suppose r*x + 67 = 4*f - 2*x, -5 = -x. Calculate the remainder when f is divided by (-1)/(-3) - (-35)/3.
11
Let n(a) = 17*a - 1. Let j be n(1). Let c = j + -10. Calculate the remainder when 0/(-19) + -1 + 12 is divided by c.
5
Let i = -13 - -22. Suppose -2*k = -5 - 19. Calculate the remainder when k is divided by (-2)/i + (-65)/(-9).
5
Suppose -7 = -4*p + 5. Suppose -p*n - 12 = -4*n. Let x(i) = i**2 + 10*i + 23. What is the remainder when n is divided by x(-8)?
5
Let v = -133 + 94. Suppose 5*k + z - 48 = 0, -k - k - 2*z = -24. What is the remainder when v*3/((-18)/4) is divided by k?
8
Calculate the remainder when 21*4/4*3/9 is divided by 2/(1/(-3) + 1).
1
Suppose 25 + 11 = 4*y. Let w = y + -4. Suppose -w*a - 16 = -9*a. Calculate the remainder when a is divided by 3.
1
Let c(f) = 8*f - 6. Let h be c(5). Suppose b - 5*t = h, b = -4*t + 3 + 4. What is the remainder when b is divided by 5?
4
Let s be -60 + -1 + (1 - -1). Let i = 85 + s. Suppose -3*z + 25 = 2*v, 24*z - 19*z - 5*v = 25. What is the remainder when i is divided by z?
5
Suppose -4*g = 5*o - 26, -6 = -3*g - o + 8. Suppose -w = -i - g, 0 = -3*i - 0*i + 3. Calculate the remainder when 17 is divided by w.
2
Let f be 1/((-3)/(-15) + 0). Suppose 0 = f*d - 55 - 35. What is the remainder when d is divided by 10?
8
Let t = 38 + -14. What is the remainder when 94 is divided by t?
22
Let s = 8 + 10. Let k(v) = v**3 + 2*v**2 - 3*v. Suppose -q = -4*x - 10, 5*x + 8 = -2*q + 2. What is the remainder when s is divided by k(q)?
8
What is the remainder when 23 is divided by 9 + ((-6)/(-2))/(27/(-18))?
2
Suppose 7 + 1 = 4*h + 4*s, 2*h - 4*s = -2. Let o(x) = 12*x**2 + x. What is the remainder when 24 is divided by o(h)?
11
Suppose 2*w + 40 = -44. What is the remainder when 72/w*(-7)/2 is divided by 2?
0
Suppose 2*j + 8 - 88 = 0. Suppose j + 24 = 2*w. What is the remainder when w is divided by 11?
10
Let z(s) = -38*s**3 + 2*s**2 - 1. What is the remainder when z(-1) is divided by 20?
19
Let u(m) = -m + 5. Let p(t) = -t - 3. Let q be p(-5). Suppose -f = -5, -4*j = 4*f - q*f - 66. Calculate the remainder when j is divided by u(0).
4
Suppose 4 = -a + 18. Suppose 25 = b - 10. Let i = 76 - b. Calculate the remainder when i is divided by a.
13
Suppose 4*k - 3*k = 0. Suppose k*c - 5*c = 160. Calculate the remainder when 14 is divided by ((-5)/10)/(2/c).
6
Let r be -1*2/(-2 - 0). Let y(j) = -r + j**3 + 2*j**2 + 2*j**2 - 4 + j**2. What is the remainder when y(-4) is divided by 7?
4
Suppose -13 = -4*p - 4*z + 7, -4*p = -5*z + 7. Suppose -36 = -5*y - 1. What is the remainder when p/(-4) + 82/4 is divided by y?
6
Let k(h) = -9*h - 4. Suppose -2*o = 3*b - 3*o - 161, -4*o + 166 = 3*b. Calculate the remainder when b is divided by k(-2).
12
Let u(h) = h**2 + 3. Let g = 14 + -10. Let q(t) = -t**3 + 6*t**2 + 18*t - 6. What is the remainder when u(g) is divided by q(8)?
9
Calculate the remainder when 65 is divided by 13 - (-4)/((-1)/(-1)).
14
Let a = -1 + -2. Let q(d) = 3*d**2 + 6*d + 6. Calculate the remainder when q(a) is divided by 9.
6
Suppose 0 = x + 2*f - 5*f, -5*x - 4*f = -38. What is the remainder when 35 is divided by x?
5
Suppose -y - 3*y = -3*c + 11, -y = 2*c - 11. What is the remainder when 17 is divided by c?
2
Suppose 0*d = -d. Suppose 4*v - 28 = -5*n + 66, 4*v - 2*n - 108 = d. Calculate the remainder when v is divided by 7.
5
Let q(s) = -s + 28. Calculate the remainder when q(12) is divided by 9.
7
Let b = 73 - 43. Let v = 20 + b. Calculate the remainder when v is divided by 13.
11
Suppose -2*a - 345 = -1845. What is the remainder when 39 is divided by a/36 + (-2)/(-12)?
18
Suppose 2 - 12 = -2*k. Suppose -2*i + 10 + 19 = -5*d, k*d + 95 = 5*i. Calculate the remainder when 65 is divided by i.
21
Suppose -2*f + 7 + 15 = 0. Calculate the remainder when (-1)/(21/(-897)) - 4/(-14) is divided by f.
10
Suppose 0 = 2*p + u - 458, -5*u - 661 = -3*p - 0*p. Calculate the remainder when p is divided by 46.
43
Suppose 0 = 4*w - 4, -2*r = -4*r + 4*w. Suppose 114 = r*g - 38. Calculate the remainder when g is divided by 13.
11
Suppose -3*v + 255 = 2*v. What is the remainder when v is divided by (-1266)/(-48) + (-1)/(8/3)?
25
Let l(s) = s**3 - 11*s**2 + 13*s + 5. Let o be l(10). What is the remainder when 25 is divided by 7/o + 88/10?
7
Let l be (-6)/21 + (-54)/7. Let a(j) = -4*j - 2. What is the remainder when a(l) is divided by 16?
14
Let y be -2 - (-120 - -2*1). Let g = -81 + y. Suppose 3*c - 7*c = -48. What is the remainder when g is divided by c?
11
Let f = 12 + 0. Let s = -7 + f. Calculate the remainder when 8 is divided by s.
3
Let y be 5*(-2)/5*-1. Calculate the remainder when y/((-3)/282*-4) is divided by 16.
15
Let l(m) = m**3 + 5*m**2 + 2*m + 5. What is the remainder when (-6)/(-12) + 73/2 is divided by l(-4)?
11
Let o(h) = -2 + 7*h + 2*h**2 - 4*h**2 + h**2. Let w be o(7). Let k = w - -23. What is the remainder when k is divided by 11?
10
Suppose 2*u = 25 + 15. Calculate the remainder when 55 is divided by u.
15
Let k be 5 + -5 - (-4)/(-2). Let t(a) be the third derivative of a**5/6 - a**4/8 - a**3/6 + 2*a**2. Calculate the remainder when t(k) is divided by 16.
13
Suppose -3*h + 123 = 2*h + 2*w, -12 = -3*w. Let z(o) = o**3 + 6*o**2 - 2*o + 1. What is the remainder when h is divided by z(-6)?
10
Let t(x) = -5*x**2 - 2*x + 2. Let m be t(-5). Let c be m/(-3) - 3/(-9). Suppose 0 = -0*d + 2*d - c. What is the remainder when 36 is divided by d?
17
Suppose 4*o = 3*o + 58. Let w(q) = -3*q. Let x be w(-1). Suppose 2*u - o = -x*u - 3*l, -l - 18 = -u. Calculate the remainder when u is divided by 5.
4
Let d = -42 - -56. Calculate the remainder when d is divided by 5.
4
Suppose 5*w - 2*s - 189 = 0, 0 = 2*w - 3*w + 4*s + 45. Let b be (19/(-3))/(1/(-3)). Calculate the remainder when w is divided by b*(0 + 1 + 0).
18
Let h = -65 + 99. Suppose 2*p - 6 = -0*p. Suppose m + 48 = 4*u, -4*u - p*m - 7 + 55 = 0. Calculate the remainder when h is divided by u.
10
Let g = -5 + 7. Suppose 9 = g*u - 49. Calculate the remainder when u is divided by 11.
7
Let z(l) = -2*l**2 - l + 2*l**3 - 2*l**3 + 1 + 2*l**3 + l**3. What is the remainder when 57 is divided by z(2)?
12
Let c = 79 - 59. What is the remainder when c is divided by 8?
4
Let k be (-10)/(-6)*(1 - -2). Suppose -3*i - 2*i = -l - 170, -k*i + 180 = l. Calculate the remainder when i is divided by 18.
17
Let x = -68 + 112. What is the remainder when x is divided by 16?
12
Suppose -2*j = 2*j - 16. Suppose j*z - 47 = 3*z. What is the remainder when z is divided by 16?
15
Let n = 47 + -33. What is the remainder when 51 is divided by n?
9
Let u = -34 - -59. Calculate the remainder when u is divided by 7.
4
Suppose -184 = -4*l - 12. Calculate the remainder when l is divided by 11.
10
Let i = 16 - -13. Suppose -2 = -4*z - 6. What is the remainder when i is divided by (3 + z)/((-3)/(-12))?
5
Let y = 101 - 7. What is the remainder when y is divided by 24?
22
Let u = 8 + 5. Calculate the remainder when 22 is divided by u.
9
Calculate the remainder when 6/4 - 339/(-6) is divided by 15.
13
Suppose -2*k = 0, a - 2*k = -