 is the remainder when -1 + 1/(a/(-32)) is divided by 8?
7
Suppose -3 + 24 = -3*b. Let o(i) = -2*i + 6. Let k be o(b). Suppose 0 = -5*r + 2*v + 25, -k = -2*r - 3*r + 3*v. What is the remainder when 25 is divided by r?
4
Suppose 3*l - 8 = -l. Suppose h - 1 = 0, 4*h - 30 = -5*d - h. What is the remainder when d is divided by l?
1
Suppose 0 = -3*y - 3*o + 27, -3*y + 3*o + 2 = 5. Suppose -y - 5 = x. Let z = -5 - x. Calculate the remainder when 10 is divided by z.
2
Let t(l) = 2*l**2 - 5*l - 3. Let i = 27 + 73. Suppose -i = -g - 3*g. Calculate the remainder when g is divided by t(4).
7
Suppose -4 = 3*a + 2. Calculate the remainder when 17 is divided by (45/(-20))/(a/8).
8
Let a(j) = j**3 - 9*j**2 + 10*j - 6. Let m be (2/(-3))/(1/(-12)). Let w = 2 + 2. Calculate the remainder when a(m) is divided by w.
2
Suppose -b + d + 29 = 6*d, 3*b - 36 = 2*d. What is the remainder when 40 is divided by b?
12
Suppose 2*b - 2 - 6 = -2*w, b = -5*w + 12. Suppose 0 = 3*i + w*i - 25. Calculate the remainder when 13 is divided by i.
3
Let i(k) = k**3 + 5*k**2 - 5*k - 1. What is the remainder when i(-4) is divided by 6?
5
Suppose -63*w = -56*w - 28. What is the remainder when ((-1)/2)/(1/(-12)) is divided by w?
2
Calculate the remainder when ((-220)/(-25))/((-2)/(-20)) is divided by 45.
43
Let o = 1 - -3. Let t = -4 + o. Suppose t*f - 3*f + 32 = 2*u, -34 = -2*u - 2*f. Calculate the remainder when u is divided by 7.
5
Let a = -16 + 72. Let r = a - 24. Calculate the remainder when r is divided by (-168)/(-10) + (-16)/(-80).
15
Calculate the remainder when 36 is divided by (-40)/25*50/(-4).
16
Let u = 11 + -6. Let m = 26 + u. What is the remainder when m is divided by 17?
14
Suppose 0 = -10*z + 5*z. Suppose 116 = 5*l - z*f - f, 2 = -2*f. What is the remainder when l is divided by 12?
11
Let k(b) = -2*b + 7. Calculate the remainder when 18 is divided by k(0).
4
Let x = 78 + -39. Let o = 4 - 2. Suppose 2*a - 48 = -o*w, 2*w + 19 = 5*a - 73. What is the remainder when x is divided by a?
19
Let c(s) = -24*s. Let g be c(-2). Let z = 74 - g. Calculate the remainder when z is divided by (-61)/(-7) - (-2)/7.
8
Let r = 3 - 6. What is the remainder when 14 is divided by ((-8)/r)/((-1)/(-3))?
6
Suppose 0 = d + l - 9, d = 2*l + 4 - 10. Calculate the remainder when (-16)/(-2) - (-14 + 17) is divided by d.
1
Let t = -10 - -41. What is the remainder when t is divided by 11?
9
Suppose -3*y = y - 76. Suppose 0 = a + 4*a - 280. Calculate the remainder when a is divided by y.
18
Let m(b) = -2*b**2 + 2*b + 10. Let z be m(8). What is the remainder when (z/5)/((-8)/20) is divided by 26?
25
Let v = 0 - -40. Let h = v - 24. Calculate the remainder when 3/1 - -11*4 is divided by h.
15
Suppose -4*k + 0 = 4. Let r(z) = -35*z**3 + 2*z**2 + 3*z + 2. What is the remainder when r(k) is divided by 19?
17
Suppose 0 = -a + 4*t + 23, -55 = 2*a - 7*a + 5*t. Suppose -5*y + 95 + 0 = 0. What is the remainder when y is divided by a?
5
What is the remainder when 2/8 + 1233/12 is divided by 43/(-430) - 351/(-10)?
33
Let t(v) = -v**3 - 5*v**2 - 3*v + 3. Let j(x) = 2*x**2 - 5*x - 8. Calculate the remainder when j(6) is divided by t(-5).
16
Suppose 0 = -3*c + 52 + 14. Calculate the remainder when (34/4)/((-1)/(-10)) is divided by c.
19
Let v be (4/(-2))/((-4)/(-98)). Let m = v + 84. Calculate the remainder when m is divided by 12.
11
Suppose -2*b + 18 = 4. What is the remainder when b is divided by 40/240 - 29/(-6)?
2
Let q(k) = 23*k - 12. What is the remainder when q(6) is divided by 32?
30
Suppose -2*l = -0*l - 36. Suppose 4*s - 36 = -4*m, -s + 3*s + 4*m = 12. Let b = s + -2. Calculate the remainder when l is divided by b.
8
Let y(k) = -2*k + 24. What is the remainder when y(-10) is divided by 15?
14
Suppose 0 = -5*l - 2*c + 7, -4*c + 0 = 5*l - 9. Let f be 2 + (l - 2)*0. What is the remainder when (-4)/(f - (-20)/(-9)) is divided by 7?
4
Suppose -5*a + 11 = 2*z - 53, 4*a - 143 = -5*z. Calculate the remainder when z is divided by 10.
7
Let g = 269 + -183. Suppose 0*l - 2*l = -g. What is the remainder when l is divided by (-23)/(-2) + (-2)/4?
10
Let t = 237 - 161. What is the remainder when t is divided by 21?
13
Let f(b) = 2*b**2 - 7*b + 1. Let s be f(5). Suppose -s + 0 = -2*p. Calculate the remainder when 15 is divided by p.
7
Let i(k) = k**3 + 7*k**2 - 4*k - 9. What is the remainder when 37 is divided by i(-7)?
18
Let m = 10 + -6. Suppose m*x = 44 + 52. Suppose -h - 3*r = -19, h + 7 = 2*h - 3*r. What is the remainder when x is divided by h?
11
Let t = 13 - 9. Let n(o) = -o**2 + 5*o - 2. Let k be n(t). Calculate the remainder when 10/(-3)*(-24)/k is divided by 14.
12
Let o(w) = w**3 - 8*w**2 + 3*w - 5. Calculate the remainder when o(8) is divided by 4.
3
Let h = -4 + 37. Let i = 77 - -8. Suppose -2*f + f = 0, i = 5*p + f. What is the remainder when h is divided by p?
16
Suppose -5*o = -10, 2*o = -u + 42 - 5. Calculate the remainder when u is divided by 19.
14
Let x be (38/2)/(1/5). Let w be 5 + -3 + x + 0. Suppose u = -3*l + 2*u + 68, -w = -4*l - 5*u. Calculate the remainder when l is divided by 13.
10
Let v(n) = n**2 + 3*n - 15. Calculate the remainder when v(-8) is divided by 13.
12
Let z(c) = c**3 - 8*c**2 + 3. Calculate the remainder when z(8) is divided by 3.
0
Let c = 7 - -17. Suppose -3*d + c = d - 2*v, -v = -5*d + 24. Let f(n) = -n**3 - 2*n**2 - 2*n - 6. Calculate the remainder when f(-3) is divided by d.
1
Calculate the remainder when 39 is divided by (-3)/((-3)/7)*(6 + -4).
11
Let m = 14 - 4. Calculate the remainder when 27 is divided by m.
7
Let a be ((-15)/6 + 1)*-18. Suppose -2*i - a = -5*i. Suppose 2*t = -u + 53, -1 - i = -2*t. What is the remainder when u is divided by 11?
10
Let o(c) = 3*c - 8. Suppose -6 = 4*q + 2*j - 40, 0 = -j + 3. Calculate the remainder when 64 is divided by o(q).
12
Suppose 10 = 4*g - 3*g. What is the remainder when 27 is divided by g?
7
Suppose 0 = -3*l, -u + 4*u + 4*l - 12 = 0. Let h(x) = -x**2 - 8*x + 3. Calculate the remainder when h(-7) is divided by u.
2
Let z = 0 + 12. Suppose 5*b = -4*u + 250, 0*u + u = 5*b - 225. What is the remainder when b is divided by z?
10
Let k(i) = 9*i**3 - 2*i**2 + 4*i - 2. Let q(j) = -j**3 + 4*j**2 + j - 2. Let m be q(4). Calculate the remainder when k(m) is divided by (-1)/((-1)/1) - -23.
22
Calculate the remainder when 5 is divided by -3*(82/(-42) + (-4)/(-14)).
0
Let i(t) = -t**2 + 11*t - 13. Calculate the remainder when 59 is divided by i(7).
14
Suppose 0 = 4*w - 12*w + 248. What is the remainder when 184 is divided by w?
29
Let z = -24 + 34. Let f(s) = -s**2 - 11*s. Calculate the remainder when f(-7) is divided by z.
8
Let a = -134 - -67. Let o = -40 - a. Suppose 5*s = -3*m + 64, -4*s + 48 = -m + 5*m. What is the remainder when o is divided by s?
13
Suppose -2*x + 17 = 5*p - 17, 33 = 3*p - 3*x. Suppose -2*f + p = -0*f, 2 = -2*c + 4*f. What is the remainder when 13 is divided by c?
6
What is the remainder when 41 is divided by ((-5)/10)/(1/(-44))?
19
Let m(i) = i**3 + 10*i**2 + 8*i. Let j be m(-9). Let k = 15 + j. Calculate the remainder when k is divided by 13.
11
Suppose 0 = -5*b + z + 63 + 29, 22 = b - 2*z. Let a = b - -2. Calculate the remainder when 58 is divided by a.
18
Suppose -5*i = -16 - 4. Let m be 1 + 0 - (7 + -5). What is the remainder when 3*m*(-50)/15 is divided by i?
2
Let z = -39 - -50. What is the remainder when z is divided by 6?
5
What is the remainder when -3 + (3 - 0 - -19) is divided by 5?
4
Suppose -2*b + 3*a + 182 = 0, 5*b - 3*b = -3*a + 194. What is the remainder when b is divided by 19?
18
Let a(g) = -g**2 - 5*g - 2. Let k be a(-2). Suppose -k*p = -2*p + 2, 4*o + p - 155 = 0. What is the remainder when o is divided by 14?
11
Let w(f) = -f**2 - 8*f - 5. Let d be w(-5). Let m = d + -5. Calculate the remainder when 50 is divided by (17/(-5))/(m/(-25)).
16
Let j = 91 + -90. Let s(x) = -2*x + 49*x + 18*x. What is the remainder when s(j) is divided by 22?
21
Suppose -3*i = 0, -y + 3*i + 20 = 4*y. Let g = -57 + 156. Suppose y*p = p + g. Calculate the remainder when p is divided by 18.
15
What is the remainder when 23 is divided by (-12)/(-2)*(-24)/(-18)?
7
Let d = 181 + -6. Suppose b - d = -5*a + 4*b, 70 = 2*a + 5*b. What is the remainder when a is divided by 19?
16
What is the remainder when ((-2)/(-4))/((-7)/(-68