y - 6 - 6. Calculate the remainder when 11 is divided by y.
5
Suppose -4*l - 3*z + 10 = 0, 3*l - l = z. Suppose -5*r - 12 = -2*m, -27*m + 30*m = -r + 52. Calculate the remainder when l - (-61 + -1 + 2) is divided by m.
13
Suppose z - 8 = -3. Let j = 5 - z. Suppose j = i - 2*i + 9. What is the remainder when 16 is divided by i?
7
Suppose 0 = h - 5*h + 2*v + 2, 5*h + 2*v - 16 = 0. Let s be ((-62)/(-4) - 3)*h. Suppose 16 + s = o. What is the remainder when o is divided by 11?
8
Let q(m) = m**2 + 12*m - 14. Let g be q(-13). Let i be g/(-4) + (-99)/(-36). Calculate the remainder when 11 + (-2 - (-12)/i) is divided by 4.
1
Suppose -2*z - 76 + 174 = 0. What is the remainder when z is divided by 13?
10
Let h = 10 - -26. Suppose -h - 23 = -x. Calculate the remainder when x is divided by 15.
14
Suppose -124 = 4*r - 0*r. Let g = r + 65. Suppose d + 2*d - 54 = 0. Calculate the remainder when g is divided by d.
16
Let d be (18/(-8))/(1/4). Let n(y) = -2*y - 2. Calculate the remainder when n(d) is divided by 9.
7
Let m(v) = -2*v - 3. Let b = 12 + -20. Calculate the remainder when (65/20)/((-2)/b) is divided by m(-4).
3
Let m be (-3)/(18/(-3))*0. Suppose 2*w + 12 = -w, m = -3*p + 3*w + 27. Calculate the remainder when 14 is divided by p.
4
Suppose 2*j = 16 + 4. Suppose 0 = -4*r + 3*r - 5*h - 7, 0 = -h - 2. Suppose r*c - 9 = 75. What is the remainder when c is divided by j?
8
What is the remainder when 2/8 - 14/(-8) is divided by (-6)/(-4) - (-5)/(-10)?
0
Let t(i) be the second derivative of i**4/12 + i**3/2 - 5*i**2/2 + i. Suppose 0*x = -x - 5. What is the remainder when t(x) is divided by 3?
2
Let n(i) = -i**2 + i - 1. Suppose -k - 7 = -2*k. Let h be n(k). Let j = -24 - h. What is the remainder when 56 is divided by j?
18
Calculate the remainder when (-4 + 1)*222/(-9) is divided by 19.
17
Let f(r) = r. Let d be f(2). What is the remainder when 10 + 2 + d/2 is divided by (2*2)/((-3)/(-6))?
5
Let j(v) = -v**2 + 13*v + 18. Let g be j(14). Suppose -2*d = 3*i - 43, g*d - 3*i + 0*i - 77 = 0. What is the remainder when d is divided by 11?
9
What is the remainder when 47 is divided by (-2)/(-4) + 434/28?
15
Let o(g) = -g + 14. Let p be o(0). Calculate the remainder when 34 is divided by ((-24)/p)/((-3)/21).
10
Let t(c) = c**2 + 2*c - 15. What is the remainder when 57 is divided by t(-7)?
17
Let v = 97 - 61. What is the remainder when v is divided by 20?
16
Suppose 4*p = 36 + 8. Let g(y) = 5*y**2 + 9*y + 3. Calculate the remainder when g(-3) is divided by p.
10
Let q(u) = 7*u - 5. Suppose -4*z - 20 = 4*y, 5*z + 75 = 6*y - y. What is the remainder when q(4) is divided by (-10)/3*24/z?
7
Suppose 3*u - 3 = -2*v, 2*v + 15 = u + 2*u. Suppose u*l + 30 = 2*x + x, -4*x - 4*l + 40 = 0. What is the remainder when 18 is divided by x?
8
Suppose -5*v = -104 + 64. Suppose 35 + 7 = 3*j. What is the remainder when j is divided by v?
6
What is the remainder when 3 + 0 + (-81)/(-3) is divided by 8?
6
Let s(k) = k**3 - 3*k**2 - 2*k. Calculate the remainder when 27 is divided by s(4).
3
Let i = 35 + -22. Calculate the remainder when 50 is divided by i.
11
Let w(v) = -v**3 - 8*v**2 - v - 2. Let l be w(-8). Suppose 24 = -l*j + 8*j. What is the remainder when 47 is divided by j?
11
Suppose 2*f + 5*n - 226 = -2*f, f = -4*n + 51. What is the remainder when f is divided by 17?
8
Suppose -3*j + 4*j + 3 = -5*f, -3*j - f = -5. Suppose j*w = 7*w - 10. Suppose p - 5*l = -5 - 3, 5*p = w*l + 29. What is the remainder when p is divided by 4?
3
Let m = 54 - 23. What is the remainder when m is divided by 17?
14
Suppose 0 = -2*y + 4 - 2. Suppose 0 = l - 0*l - 1. Calculate the remainder when l is divided by y.
0
Suppose 4 = 3*o - 2*o. Let z(p) = -p + 8. What is the remainder when z(o) is divided by 3?
1
Let x = 18 + -15. What is the remainder when 6 is divided by x?
0
Suppose -q = -4*h + 2, -2*q = 5*h + 11 - 46. Calculate the remainder when (38 - 0 - 2) + 2 is divided by q.
8
Suppose -3*t = m - 15, 3*m - 42 = 3*t + 3. What is the remainder when 42 is divided by m?
12
Suppose 5*p + 3*w = 123, -49 = -0*p - 2*p - w. Calculate the remainder when 70 is divided by p.
22
Let o(v) = -v**2 + v + 2. Let i be o(0). Let q(f) = -2*f**2 + i + 3*f**2 - 2 + 4*f + 10. What is the remainder when q(-7) is divided by 8?
7
Let i(h) = 6*h - 17. What is the remainder when 61 is divided by i(8)?
30
Calculate the remainder when (-40)/(-3)*96/20 is divided by 22.
20
Let g = 10 - -6. Calculate the remainder when 29 is divided by g.
13
Suppose -2*i + 23 + 18 = u, 7 = -i + 5*u. What is the remainder when 33 is divided by i?
15
Suppose 5*t - 33 = -3*f - f, f + 4*t = 22. Calculate the remainder when 8 is divided by f.
0
Suppose 6 = 4*s - 2*d - 6, s = -d + 9. What is the remainder when s is divided by 2?
1
Suppose 0*s + 211 = 4*g + 5*s, s = 5*g - 271. Suppose t + 72 = 4*t + 3*c, g = 2*t - 4*c. Calculate the remainder when t is divided by 9.
7
Suppose -4*v = 2 + 2. Let f be (v/2)/(2/12). What is the remainder when 48*f*3/(-18) is divided by 13?
11
Let c(j) = j**2 - 5*j + 2. Let i be (4/(-8))/((-2)/20). Let t be c(i). Suppose 0 = -3*x - t*x + 35. What is the remainder when 12 is divided by x?
5
Let r(m) = -7*m**2 - 2*m - 1. Let i be r(2). Let d = -15 - i. What is the remainder when 34 is divided by d?
16
Let a = 90 + -75. Calculate the remainder when 82 is divided by a.
7
Let u(b) = -3*b - 2. Let g = 2 - 4. Calculate the remainder when u(g) is divided by 3.
1
Suppose 5*g = 78 + 12. Calculate the remainder when 69 is divided by g.
15
Let g(y) = -y**2 - y. Let p be g(-2). Let s be 3585/10*p/(-3). Let a = s - 162. Calculate the remainder when a is divided by 20.
17
Let u = 95 - 9. Calculate the remainder when u is divided by 22.
20
Let q be 9*(-7)/((-7)/2). Calculate the remainder when (28/6)/(12/q) is divided by 4.
3
Let f(n) = n. Let y be f(3). Suppose -y*k + 24 + 3 = 0. Suppose 0*r = 3*r - 51. What is the remainder when r is divided by k?
8
What is the remainder when 116/(-3 + 7) + -4 is divided by 9?
7
Let k = -2 - -4. Suppose -5*d - 5*r - 132 = -442, -5*d = -3*r - 286. Suppose -3*f - 6*n + n = -d, -n = k*f - 30. What is the remainder when f is divided by 5?
3
Let m(l) be the second derivative of -l**5/20 + l**4/3 + l**3/2 - l**2/2 - 3*l. Let o be m(4). Let x = -4 + o. What is the remainder when 12 is divided by x?
5
Let l = 36 + -27. Calculate the remainder when 25 is divided by l.
7
Suppose -192 = -8*n + 4*n. Suppose -5*b = -0*b + 4*v - 27, -4*b = -2*v - 32. What is the remainder when n is divided by b?
6
Let k(x) = -126*x**2 - x + 1. Let l be k(1). Let d = 182 + l. Calculate the remainder when d is divided by 19.
18
Let o(r) = -r**3 - r**2 + 3*r - 2. Let z be o(-3). Let a be z + -6 + 2*10. What is the remainder when 45 is divided by 54/a*14/3?
9
Let y(f) = -4*f. Let m be y(2). Let x = -4 - m. What is the remainder when (42/(-8))/((-1)/x) is divided by 11?
10
Let h(u) = 2*u - 10. Let v be h(7). Suppose v = -2*s + 16. Suppose 2*b + 2*c = s, b = 3*b - c - 18. Calculate the remainder when b is divided by 3.
1
Suppose 0 = 2*z + 1 - 23. Calculate the remainder when z is divided by 3.
2
Suppose -6 = -s - 2. Let v(p) = -p**3 + p + 2. Let a(r) = -r + 2. Let y be a(2). Calculate the remainder when s is divided by v(y).
0
Let a = 22 - 4. Let v(m) = -m**3 + 7*m**2 - 3*m - 3. Let d be v(5). Suppose -5*p + 3 = 3*t - d, 2*t + 3*p = 23. Calculate the remainder when a is divided by t.
8
Let o = 106 - 102. Calculate the remainder when (14/2)/(3/6) is divided by o.
2
Calculate the remainder when -1 + -1 - (-11 + 6 + -4) is divided by 5.
2
Suppose -3*t - 3*n = -147, 0 = 5*t - 10*t - 3*n + 239. Suppose 5*o - 4*m = 128, 2*o = -0*o - m + t. Calculate the remainder when 46 is divided by o.
22
Suppose -10 = -0*l - 5*l. Suppose l*b - 10 = 0, -7 + 23 = -j + 5*b. Calculate the remainder when 33 is divided by j.
6
Let w = 34 + -5. Suppose o - 9 = 3*y, 0 = -y + 6*y - 10. Calculate the remainder when w is divided by o.
14
Let k = -12 + 16. Suppose -5*z + k*z - 4 = -4*a, 2*a = 2*z - 22. What is the remainder when 62 is divided by z?
14
Suppose 5*q + 35 + 65 = 5*i, 0 = 5*q + 5. Suppose m - i = -0*m. Let x(h) = -3*h - 14. Calculate the remainder when m is divided by x(-7).
5
Suppose -f - 3*f = -4*i + 112, -3*i = 2*f - 64. Let j(q) = -4*q - 2 + q + 5 - 3*q**2 + 