t j = 16 + -5. What is the remainder when j is divided by 1*(-5)/(v/(-12))?
5
Calculate the remainder when ((-4)/20)/((-2)/10) is divided by 1.
0
Let a be (-1)/(2 + (-57)/27). Let b = -1 + a. What is the remainder when b is divided by (-20)/(-8) + (-2)/(-4)?
2
Suppose 2*b = -2*d - 3*d + 51, -5*d = -25. Let a = b + 17. What is the remainder when 18 is divided by 1/(63/a + -2)?
8
Suppose -247 = -6*r - 61. What is the remainder when 184 is divided by r?
29
Let a = 160 - 156. Calculate the remainder when 71 is divided by a.
3
Suppose -f = -4*p + 24, p + 3*f - 6 = 13. Calculate the remainder when 11 is divided by p.
4
Let j = 4 - -1. Suppose -j*g + 7 = -2*w, -2*w + 16 = 2*w - 4*g. Suppose -4*m + 24 = -4*x, 2*x - w = -4*m + x. What is the remainder when m is divided by 2?
1
Let b = -89 - -110. Calculate the remainder when b is divided by 11.
10
Let j(r) = 6*r + 3. Let k be j(-6). Let a = -19 - k. Let n(o) = o**2 + 2*o + 5. What is the remainder when n(-7) is divided by a?
12
Let k = 29 + -75. Let o = -21 - k. Calculate the remainder when o is divided by 13.
12
Suppose -3*m = 255 + 9. Let v = 93 + -156. Let p = v - m. Calculate the remainder when p is divided by 9.
7
Suppose -3*l = -2*c + 26, -5*c + 2*c = 3*l - 9. What is the remainder when 11 is divided by c?
4
Let x(g) = 19*g**2 - 1. Suppose -3 = -5*m + 2. Let h(b) = -b + 7. Calculate the remainder when x(m) is divided by h(-3).
8
Suppose 1115 = 5*u - 2*z, -2*u + z + 452 = -z. What is the remainder when u is divided by 56?
53
Let m(h) = h**2 - 6*h + 6. Suppose 5*f - 4 = 31. Suppose -5*o - 5*v = -0*o - 120, 0 = -5*o + 4*v + 111. Calculate the remainder when o is divided by m(f).
10
Suppose 0 + 1 = -4*b + l, -4*b + 5 = -3*l. Let g(x) = -2*x**3 - 3*x**2 - 3*x - 3. Calculate the remainder when (-1)/((-3)/(-39)*b) is divided by g(-2).
6
Let y(x) = x**3 - 3*x**2 - 6*x. Let l(v) = -v**2 + v. Let t(b) = -l(b) - y(b). Suppose 8 = 2*k - 0*k. What is the remainder when t(k) is divided by 7?
6
Let b(v) = -v**3 + 5*v**2 + 4*v + 3. Calculate the remainder when 87 is divided by b(5).
18
Suppose -u - 213 = -4*u. Calculate the remainder when u is divided by 18.
17
Suppose 0 = 5*p - 19 - 36. Suppose -p = -4*d + 37. What is the remainder when 47 is divided by d?
11
Suppose m = -98 + 149. Calculate the remainder when m is divided by 11.
7
Suppose -8*r = -52 + 28. What is the remainder when (2/(-2))/(2/(-16)) is divided by r?
2
Let o(m) = 13 - m**2 - 12*m - 9 + 4 + 0*m**2. What is the remainder when 75 is divided by o(-11)?
18
Let i(q) = -16*q + 2. Let k be i(3). Let j = k - -66. What is the remainder when 113/2 - 2/(-4) is divided by j?
17
Suppose 8 = 2*d + 2*u, 3*d - u - 32 + 8 = 0. What is the remainder when d is divided by 5?
2
Suppose -5*k + 156 = -19. What is the remainder when k is divided by 18?
17
Suppose 2*g + 25 - 55 = 0. What is the remainder when 69 is divided by g?
9
Let q(f) = -2*f**3 - f**2. What is the remainder when q(-2) is divided by (-4)/6 + (-23)/(-3)?
5
Suppose 0 = 2*p - 6*p. Suppose -3*x = 5*b - 11 - 29, p = 2*x + 3*b - 26. What is the remainder when x is divided by 3?
1
Suppose -6 = 2*o, -3*h + 21 = 4*o - 36. Suppose -2*p = 5 + 1, -3*x + 5*p + 39 = 0. Calculate the remainder when h is divided by x.
7
Let x = 67 + -58. Suppose -4*t = j - 33, -j + 3*t = -5*j + 80. What is the remainder when j is divided by x?
8
Let o = 66 - -5. What is the remainder when o is divided by 12?
11
Let k(r) = r**2 - r - 7. Calculate the remainder when 23 is divided by k(-4).
10
Let a = -59 + 95. What is the remainder when a is divided by 13?
10
Suppose -3*a + 4 = -11, -43 = -2*n - 5*a. Let p = 89 - 51. Let z = p - 12. Calculate the remainder when z is divided by n.
8
Suppose 2*n - 110 - 88 = -3*i, 6 = -3*i. What is the remainder when n is divided by 35?
32
Let b(w) = -11*w**2 + 7*w + 5*w**3 - 1 + w**3 + 5*w**2 - 5*w**3. Let p(t) = 2*t**2 + 5*t. Calculate the remainder when p(-5) is divided by b(5).
7
Let s = 33 + -18. What is the remainder when 42 is divided by s?
12
Calculate the remainder when 2 - ((-524)/22 - 18/99) is divided by 7.
5
What is the remainder when 2 - (-76 + -6 + 4) is divided by 21?
17
Suppose 5*y = 14 + 46. Suppose 0*u - 12 = -4*v - 2*u, 2*v + 4*u = y. What is the remainder when 7 is divided by v?
1
Let f(g) = -10*g - 1. Suppose 3*w - 39 = -3*z, -w + 2*z + 25 = -3*z. Calculate the remainder when w is divided by f(-1).
6
Suppose 0 = 2*f - 4*f + 56. Suppose -33 = -m + f. What is the remainder when m is divided by 21?
19
Suppose -110 = -11*k + 6*k. Let p = k - 5. Calculate the remainder when 49 is divided by p.
15
Suppose 0 = -m - 3*m + 2*y, 4*m = -y - 6. Let t be 3/(m - -7)*2. Let x = 3 + t. Calculate the remainder when 15 is divided by x.
3
Suppose 0 = -5*o + 30 - 0. Calculate the remainder when o is divided by 2.
0
Calculate the remainder when 33 is divided by 103/6 - 21/126.
16
Let z(i) = -2*i + 19. Calculate the remainder when 51 is divided by z(5).
6
Calculate the remainder when 65 is divided by (-2)/(-4) - 4/(16/(-66)).
14
Suppose -73 - 44 = -3*b. Let g(y) = 3*y - 7. Calculate the remainder when b is divided by g(9).
19
Let v = 59 - 21. Calculate the remainder when 75 is divided by v.
37
Let g = 9 + -4. Suppose 2*z - 18 = -g*o - 0, -4*o - 5*z = -11. Suppose -2*d - o*h = -103 + 33, 2*d + 3*h = 69. What is the remainder when d is divided by 17?
16
Suppose b = -0*b - 4. Calculate the remainder when 2 is divided by 5 + b/2 + -2.
0
Suppose 3*l - 40 = -5*t, 2*l + 2*l = -5*t + 50. Calculate the remainder when 12 is divided by l.
2
Let t(p) = 0*p - 1 - 4 + 5*p. What is the remainder when t(6) is divided by -3 - (-3 - -1 - 10)?
7
Let l(j) = -2*j - 2. Let u be l(-2). Let k = -16 + 26. What is the remainder when 22 is divided by u/(-4)*-4 + k?
10
Let u be -1 + (4 - (-2 + 2)). Let w(c) = -c + u*c - c + 12. Calculate the remainder when w(-6) is divided by 4.
2
Suppose 0 = 3*q - 0 - 3, -3*v = -4*q - 5. Suppose 3*p = 44 + 34. What is the remainder when p is divided by 35*(1 - v/5)?
12
Let k(a) = a**3 + 10*a**2 + 8*a + 4. Calculate the remainder when 49 is divided by k(-9).
10
Suppose 2*m = 3*m - 37. What is the remainder when m is divided by 20?
17
Calculate the remainder when 37 is divided by 12*1 + (-1)/(-1).
11
Let y = 89 + -53. What is the remainder when y is divided by 19?
17
Suppose 0 = 3*s - 2*o - 41, -3*o + 20 + 1 = s. Suppose 3*w - 285 = -2*w. What is the remainder when w is divided by s?
12
Let s be 4/(-10) - 38/5. Let l(o) = -o + 3. Calculate the remainder when (32/3)/((-1)/(-3)) is divided by l(s).
10
Let z be (-1)/(-2)*2*5. Suppose 2*f = z*r - 4, 5*r + 4*f + 0 = 22. Let d = 15 - 11. What is the remainder when d is divided by r?
0
Let a(l) = l**3 - 4*l**2 + 5*l - 4. Let t(w) = -w + 2. Let r be t(-2). Calculate the remainder when a(r) is divided by 6.
4
Let s = 92 + -76. What is the remainder when 44 is divided by s?
12
Suppose -2*n - 29 = -11. What is the remainder when 15 is divided by (1 + n/3)*-3?
3
Let w(s) = 6*s - 4. Let u be w(-6). Let i be (1/(-2))/(4/u). Suppose 3*r - i*x = -22, 8 = 3*x - 7. What is the remainder when 1 is divided by r?
0
Let g(n) be the first derivative of n**3/3 - n**2/2 - n - 2. Let b be g(3). Let o(r) = r**2 + 4. Calculate the remainder when o(b) is divided by 10.
9
Let z(q) = 17*q**2 + 3*q + 6. What is the remainder when z(-3) is divided by 38?
36
Let z(j) = -2*j + 5. Calculate the remainder when 37 is divided by z(-4).
11
Let z(y) = y - 3. Let a be z(6). Let i = a + -4. What is the remainder when 32 is divided by i*(-51)/(9/3)?
15
What is the remainder when (-55)/(-22)*(2 - 1 - -17) is divided by 12?
9
What is the remainder when 60 is divided by (-20)/(-1) - (-8 - -12)?
12
Suppose r - 4*f - 19 = 0, f + 7 = r - 15. Suppose -5*c + 5*a + 50 = 0, 0*c + 3*a + 25 = 2*c. What is the remainder when r is divided by c?
3
Let a = -154 - -159. Calculate the remainder when 12 is divided by a.
2
Let a = 30 + -16. Let m(n) = -2*n**3 - 2*n**2 + n - 1. What is the remainder when a is divided by m(-2)?
4
Let w = -39 - -61. Suppose 2*i + 3*z - 10 = i, 0 = 3*i + 3*z - 36. What is the remainder when w is divided by i?
9
Let c(b) be the first derivative of b**4/4 + 2*b**3 + 3*b**2 + b - 2. What is the remainder when 34 is divided by c(-4)?
7
Calculate the remainder when 21 is divided 