uppose 7 - o = -m. Suppose -7 = -5*x + 28. What is the remainder when m is divided by x?
5
Suppose -m + 26 = m. Suppose c + m = 3*x, 3*c = 3*x - 18 - 3. Suppose 5*j - x*j + 3*g - 9 = 0, g + 13 = 2*j. Calculate the remainder when 11 is divided by j.
5
Let u be (-8)/(-24) + 2/(-6). Suppose u = 5*h - 26 + 6. What is the remainder when 24 is divided by 1*11 + (h - 6)?
6
Let m = 53 + -25. Let k(g) = -g**2 - 6*g + 5. Suppose 0 = 5*d + 2*i + 21, 7*d - 3*i + 31 = 2*d. What is the remainder when m is divided by k(d)?
8
Suppose 4 = 3*r - 8. Suppose r*h + 6 = n, 2*n - 5*n + 3 = 3*h. Calculate the remainder when n is divided by 1.
0
Suppose -18*g = -22*g + 324. Calculate the remainder when g is divided by 22.
15
Suppose 3*b = 3*c - 15, -b = -7*c + 5*c + 8. Suppose k = c - 1. Suppose 0*y - 2*y = -5*u + 101, 4*y = k*u - 50. Calculate the remainder when 36 is divided by u.
17
Let y = 3 + 23. Calculate the remainder when 101 is divided by y.
23
Suppose 3*k - 5 - 19 = 0. Let a = k + -5. What is the remainder when (2/a)/((-4)/(-114)) is divided by 7?
5
Let t(q) = q**2 - q - 16. What is the remainder when 45 is divided by t(7)?
19
Suppose 4*z - 62 = -5*s, z = -0*s + 4*s + 5. Calculate the remainder when 38 is divided by z.
12
Let z be 69/21 - (-4)/(-14). Suppose 2*k - 7 = z. What is the remainder when 14 is divided by k?
4
Suppose -5*u = 2*s - 21, -12 + 0 = -2*s - 2*u. Suppose 0 = 5*a + 5, -6 = 3*o - 4*o - s*a. Calculate the remainder when 33 is divided by o.
6
Let r = -71 + 84. Calculate the remainder when 41 is divided by r.
2
Let o(k) = -k**2 + 5*k + 7. Let m be o(6). Calculate the remainder when 28/m + (1 - -1) is divided by 8.
6
Let b be (-237)/(-7) + (-6)/(-42). Let t = b - 24. Calculate the remainder when t is divided by 6.
4
Let i = -5 + 8. Suppose 2*y = 19 + i. Let d = 22 - 16. Calculate the remainder when y is divided by d.
5
Let f(m) = -m**2 + 8*m + 5. Let v = 34 + -3. Calculate the remainder when v is divided by f(6).
14
Let w(b) = 8*b - 8. Let h be w(6). Calculate the remainder when 8/h + (-138)/(-10) is divided by 8.
6
Let t = -16 - -11. Let w = -14 - t. Let o = w + 10. Calculate the remainder when 1 is divided by o.
0
Let s(f) = -f**3 + 5*f**2 + 5. What is the remainder when 23 is divided by s(5)?
3
Suppose -3*s = 6, -3*o = -4*o - 5*s + 47. What is the remainder when o is divided by 10?
7
Let d(y) = y**2 - 2*y - 6. What is the remainder when 112 is divided by d(-5)?
25
Let o(b) = b**3 + b**2 - b. Let m be o(-2). Let l = m - -6. What is the remainder when (0 + -1)/(l/(-44)) is divided by 6?
5
What is the remainder when 50 is divided by (20/25)/(2/45)?
14
Let a = -59 + 94. Suppose 0 = 4*r + r - 110. Suppose 3*h + 0*h - x = 35, -2*x = -2*h + r. What is the remainder when a is divided by h?
11
Suppose -5*q + 1 = -14. Calculate the remainder when 15 is divided by 42/7 + q/1.
6
Suppose 4*x + 10 - 2 = 0. Calculate the remainder when 138/x*(-6)/18 is divided by 12.
11
What is the remainder when -59*(-1)/(-4*4/(-16)) is divided by 12?
11
Let u = 45 - 27. Calculate the remainder when 67 is divided by u.
13
Let z(p) = p + 2. Let o(a) = -a**2 - 5*a - 3. Let r be o(-3). Let l(v) = -v**2 - 6*v + 4. What is the remainder when l(-5) is divided by z(r)?
4
Let x(w) = -w**3 - 8*w**2 - 9*w - 10. Let b be x(-7). Suppose b*z = -0*z + 196. What is the remainder when z is divided by 25?
24
Let y be 3 - (2 + (-9)/3). Suppose j - 36 = -4*b, -b + 2*b - 24 = -y*j. Calculate the remainder when 14 is divided by b.
6
Let z = 1 - 25. Let a be (-90)/z - (-2)/8. What is the remainder when 47 - (2 - a - 0) is divided by 17?
15
Let f(a) = -9*a**3 - 21*a**2 - 13*a + 11. Let d(t) = -5*t**3 - 11*t**2 - 7*t + 6. Let m(x) = -7*d(x) + 4*f(x). What is the remainder when m(-7) is divided by 5?
3
Let o(z) = -7*z - 1. Calculate the remainder when o(-7) is divided by 13.
9
Suppose 1251 = 10*q - 79. Suppose -2*v - 2*w = -60, 5*v - 128 = v - 2*w. What is the remainder when q is divided by v?
31
What is the remainder when 59 is divided by (-9)/(135/40)*-6?
11
Let a(j) = j**3 - 7*j**2 - 8*j + 6. Let z be a(8). What is the remainder when (-68)/(-6)*(-3)/(-2) is divided by (-29)/(-3) + (-4)/z?
8
Let z(q) = -q**3 - 8*q**2 - 8*q - 7. Let k be z(-7). Suppose k = -3*t - 6 + 39. Calculate the remainder when (3 - 2)*(31 + 1) is divided by t.
10
What is the remainder when (-3)/(-4)*42/7*6 is divided by 16?
11
Let y(x) = x**2 + 3*x - 3. Let t be y(-3). What is the remainder when 14 is divided by 8/2 - (3 + t)?
2
Let r = -17 - -27. Suppose -4*j = -d + 7, -2*d + 5 = -3*j - 4. Let u(o) = 2*o**2 + 6*o - 7. Calculate the remainder when u(d) is divided by r.
9
Suppose 0 = -k - 3*b + 13, -20*k = -16*k + 5*b - 38. Let s(r) = 8*r - 6. Calculate the remainder when s(4) is divided by k.
5
Let u be (8/6)/((-4)/(-6)). What is the remainder when 23 is divided by (u/(-1) - -1)*-8?
7
Suppose -3*y + 4*y = 1. Let n = 17 - -8. What is the remainder when n is divided by 9/(-1)*(y - 2)?
7
Let k(v) = 2*v**2 - 11*v + 4. Suppose -4*i + 14 = -2*i. Calculate the remainder when k(i) is divided by 9.
7
Let w(g) = -g**2 + 8 + 2*g**2 + 0*g**2 + 19. Calculate the remainder when 51 is divided by w(0).
24
Suppose -47 = -2*p - p + m, 5*p - 45 = -5*m. Calculate the remainder when (1 + -7)/((-2)/9) is divided by p.
13
Suppose -2*v + 176 = 2*v. What is the remainder when v is divided by 16?
12
Suppose 5*y = 17 + 63. What is the remainder when (-1)/(33/(-2052)) - (-4)/(-22) is divided by y?
14
Let k be (-57)/3 - -1 - 1. Let d = k - -29. Calculate the remainder when d is divided by 1 + -10*3/(-6).
4
Let u(i) = -i**2 - 3*i - 2. Let d be u(-2). Suppose 3*o - 118 = 2*m, d = -2*o - 3*o - 4*m + 204. Calculate the remainder when o is divided by 21.
19
Let b(j) = -2*j - 9. Suppose -2 - 2 = -g. Suppose 5*n - g = 6. Calculate the remainder when b(-6) is divided by n.
1
Suppose -2*f - f = 0. Suppose 4*o - 46 - 18 = f. Let d = o - 10. Calculate the remainder when 21 is divided by d.
3
Suppose 0*n + n + 3*g - 18 = 0, 0 = -3*n + 2*g + 76. Calculate the remainder when (-16)/n*81/(-2) is divided by 6.
3
Calculate the remainder when 40 is divided by 2*(-3 + 7 - -3).
12
Let b(u) = -u**3 - u**2. Let n(j) be the first derivative of j**4/4 + 2*j**3 - 7*j**2/2 + 3*j + 1. Calculate the remainder when b(-2) is divided by n(-7).
1
Let u = 15 + 29. Suppose 2*y - 20 - 12 = -2*l, 3*y - u = -l. Calculate the remainder when 0 - (0 + -1)*39 is divided by y.
11
Let k be (6/12)/((-1)/(-6)). Suppose 4 = -k*z + 1, -25 = -4*q + 5*z. Calculate the remainder when q is divided by 296/104 - (2 - 56/26).
2
Let a be (4/(-6))/((-10)/(-15)). Let m(z) = 9*z**2. What is the remainder when 17 is divided by m(a)?
8
Let j = -31 - -53. Suppose -4*x + 17 = -3*k, j - 1 = 3*x - 5*k. Suppose 5*f = -x*i + 41, 0 = 3*f - 0*i - 5*i - 6. What is the remainder when 19 is divided by f?
5
Suppose -4*t - b + 1 = -t, 0 = 2*t - b - 4. Let v be (-2 + 3)*-12*t. What is the remainder when v/42 + (-270)/(-14) is divided by 10?
9
Let r(q) = 14*q - 3. What is the remainder when r(2) is divided by (-1)/(-33)*11*(39 - 0)?
12
Suppose -5*o - 1 + 211 = 0. Let d = 25 + 12. Suppose p = 5*l - 2*p - 64, -2*l = -5*p - d. What is the remainder when o is divided by l?
9
Let l(v) = -v**3 + 12*v**2 + 12*v + 16. Let x be l(13). Suppose 0*n = -x*n + 186. What is the remainder when n is divided by 21?
20
Suppose 0 = 3*y + 69 - 354. What is the remainder when y is divided by 24?
23
Let j = -7 + 9. Let y = j + 5. What is the remainder when 27 is divided by y?
6
Let x = -44 - 5. Let b = x + 87. Let n = 20 + b. What is the remainder when n is divided by 20?
18
Let f = -10 + 21. Suppose -6*l + 2*l + 12 = 0, 0 = h - 5*l + 9. Suppose -2 = -2*b + h. Calculate the remainder when f is divided by b.
3
Let o = 1 + 2. Suppose -2*f - o*f = -50. Let w = 139 - 121. Calculate the remainder when w is divided by f.
8
Suppose 2*u = -14 - 28. Let w = u - -32. What is the remainder when 31 is divided by w?
9
Let d(z) = z + 1. Let y(q) be the first derivative of q**2/2 - 5*q - 2. Let f be y(5). Calculate the remainder when d(f) is divided by 1.
0
Let g(y) = y**3 - 4*y - 7*y**2 - 10 + 5*y + 4*y. What is the remainder when g(8) is divided by 32?
30
Let m(t) = 3*t - 5. Let z = -79 - -202. Calculate the remainder when z/9 - (-2)/(-3) is divided by m(4)