ose a = d*v + 10. Calculate the remainder when 16 is divided by v.
7
Let c = 629 + -622. Suppose 12 = 4*b - 0*b. Calculate the remainder when c is divided by b.
1
Let m = -12 + 17. Suppose 5*r + 50 = m*l, 0*r - 4*r - 26 = -3*l. Let y = 44 + -17. What is the remainder when y is divided by l?
13
Let w be (18/15)/((-9)/(-30)). Suppose 10 = q + w*q. Calculate the remainder when 5 is divided by q.
1
Let m = -102 - -183. What is the remainder when m is divided by 28?
25
Suppose -2*g + f + 8 + 6 = 0, f = -4. Let k be 0/((-3)/(6/4)). Suppose k = 3*q + 4 - 10. Calculate the remainder when g is divided by q.
1
Let b be 10/4 - (-5)/(-10). Suppose -2*h + m + b*m = -54, -12 = 3*m. Let l(u) = -7*u + 6. What is the remainder when l(-5) is divided by h?
20
Let b be 47 + (-2)/1 + -2. Let x = 1 + b. Suppose 3*u - 1 = x. Calculate the remainder when 29 is divided by u.
14
Let r(d) = -2*d - 14. Let u be r(-7). Suppose -k + u*z + 2 = -4*z, -4*z - 30 = -3*k. Calculate the remainder when k is divided by 3.
2
Let h = -24 - -34. Let d = h - 8. Calculate the remainder when d is divided by (-4)/(-6)*3/1.
0
Suppose -4*k + 5*z + 224 = 3*z, 3*k + 4*z = 168. Calculate the remainder when k is divided by 29.
27
Suppose -6*b + b = -545. Let j = 61 - 126. Let k = b + j. What is the remainder when k is divided by 15?
14
Let p(i) = i**3 + i**2 + i + 5. Suppose 0 + 15 = 5*q. Let c = q - 0. What is the remainder when p(0) is divided by c?
2
Let u(z) = -z**3 - 8*z + 2*z + 3 + 7*z**2 + 2*z. What is the remainder when u(6) is divided by 8?
7
Let j be 3454/26 + (-12)/(-78). Calculate the remainder when (-1 - 4)*j/(-35) is divided by 4.
3
Let m(v) = -v**2 + 11*v - 11. What is the remainder when 75 is divided by m(8)?
10
Let r = -12 + 6. Let u be (r - 2)/((-4)/6). Calculate the remainder when 44 is divided by u + 5 + (-2 - 0).
14
Suppose 4*x - u + 0*u = 178, -u = 5*x - 218. Let w be (-1)/(1*(-1)/3). Suppose j = -w*j + x. Calculate the remainder when 41 is divided by j.
8
Suppose 3*w - 70 = -2*w. What is the remainder when 182/9 + 4/(-18) is divided by (-4)/w + (-79)/(-7)?
9
Suppose -2*y = -4*y + 16. Calculate the remainder when 21 is divided by y.
5
Suppose 12*h + 4*r + 2 = 15*h, 3*r - 6 = h. Let a be (3*1)/(6/8). Suppose -j = -a*q + 7 + 30, 4*j = -2*q + 32. What is the remainder when q is divided by h?
4
Let i(h) = h**3 + 6*h**2 - 9*h - 7. Let q be (-6)/(-15) - 96/15. What is the remainder when i(q) is divided by 24?
23
Suppose -5*k = -253 + 3. Calculate the remainder when k is divided by 19.
12
Let b = 50 - 81. Let y be (-2 - 1)*4 - 3. Let i = y - b. What is the remainder when 31 is divided by i?
15
Let l(i) = -6*i + 4. Let r(z) = -z**3 - z**2 + 8. Let g be (0/(-1))/((-4)/(-2)). What is the remainder when l(-3) is divided by r(g)?
6
Suppose -5*m = -2*m - 174. Calculate the remainder when m is divided by 12.
10
Let u(g) = 2*g**2 + 7*g - 1. Suppose -5*z = -4*w + 83, -2*w + z + 20 = -w. Calculate the remainder when u(-7) is divided by w.
14
Let g = 438 - 251. What is the remainder when g is divided by 47?
46
Suppose -5*r - 5 = 0, 5*y + r + 0*r - 64 = 0. Calculate the remainder when 33 is divided by y.
7
Let w = 4 - 1. Suppose -5*a + 58 = g, 0*a - a - 2*g + 8 = 0. Let d = a - 2. Calculate the remainder when d is divided by w.
1
Suppose -5*b + 2*b + 20 = 5*m, 5*b - 20 = -5*m. Let l(s) = -s**3 - s - 21. Let c be l(b). What is the remainder when (-4)/(-14) - 603/c is divided by 8?
5
Suppose n + l = -3*l + 60, 4*l = n - 20. Suppose -6*t + 44 = -2*t. Calculate the remainder when n is divided by t.
7
Let d(v) = 3*v**2 - 8*v + 11. What is the remainder when 22 is divided by d(2)?
1
Suppose 4*n = 7*n - 30. Calculate the remainder when 19 is divided by n.
9
Let a(t) = 3*t - 2. Calculate the remainder when a(9) is divided by 7.
4
Let p(d) = -d**3 + 7*d**2 + 3*d - 5. Let z be p(6). Let q = -24 + z. Calculate the remainder when q is divided by 13.
12
Let i(n) = n**3 + 1. What is the remainder when i(2) is divided by 5?
4
Let u = 78 - 34. What is the remainder when u is divided by 16?
12
Let z = -82 - -105. What is the remainder when z is divided by (-58)/(-7) - 6/21?
7
Suppose 74 - 6 = 4*x. Suppose -5 = -r - 2. Suppose -2*c + 3*w + 6 = -r*c, -5*w = -c + 34. Calculate the remainder when x is divided by c.
8
Let o(x) = -9*x**3 - x**2. Let g(u) = -u**2 + 13*u - 13. What is the remainder when g(9) is divided by o(-1)?
7
Suppose -p + 5*p = 44. Let s(v) = -v. Let a be s(1). What is the remainder when 28/(-35)*(-26 - a) is divided by p?
9
Let u(p) = -43*p + 1. Let c be u(-3). Suppose -3*m - 5*b = -m - 124, 2*m + 2*b - c = 0. What is the remainder when m is divided by 17?
16
Suppose 0 = -5*d + 36 + 24. Let q(a) = a**2 + 3*a - 9. Calculate the remainder when q(6) is divided by d.
9
Suppose 10*k = 5*k + 635. Calculate the remainder when k is divided by 13.
10
Suppose 0 = -3*z + 2*u + 226, -2*z - 4*u + 142 = -u. Calculate the remainder when z is divided by (-1 + 4/12)/(4/(-114)).
17
Let r = -35 + 46. What is the remainder when 43 is divided by r?
10
Let m(h) be the third derivative of -h**4/24 + 19*h**3/6 + 3*h**2. What is the remainder when 36 is divided by m(0)?
17
Let q(k) = -k**3 + 6*k**2 + k + 3. Calculate the remainder when q(3) is divided by (-67)/(-4) - 2/(-8).
16
Suppose -4*p = 4, h + 5*p - 3 = 4. Calculate the remainder when 33 is divided by h.
9
Suppose -26*s + 23*s + 66 = 0. Calculate the remainder when 43 is divided by s.
21
Suppose -3*v - 2*h - 3*h = 51, 2*h + 85 = -5*v. Let p = 13 - -15. Let a = v + p. What is the remainder when 30 is divided by a?
8
What is the remainder when 117 is divided by (-5 - -15)/(4/6)?
12
Suppose x = -0*x + 11. Suppose 5*m - 211 = u, -6*m + 133 = -3*m + u. Calculate the remainder when m is divided by x.
10
Calculate the remainder when (-5324)/(-55) + (-2)/(-10) is divided by 25.
22
Calculate the remainder when 25 is divided by -1 + 24/30 + (-92)/(-10).
7
Let f = -8 - -84. What is the remainder when f is divided by 20?
16
Let u(s) = 2*s - 4. Let v be u(-4). What is the remainder when (v/(-2))/((-10)/(-55)) is divided by 12?
9
Suppose -59 = -8*h + 205. What is the remainder when h is divided by 18?
15
Let x(q) be the third derivative of q**6/120 + q**5/10 - 7*q**4/24 + q**3/2 + 2*q**2. Suppose -4*y - y = 35. Calculate the remainder when 4 is divided by x(y).
1
Suppose t = -2*t - 3. Let k be (36/(-5))/(t/5). What is the remainder when 19 is divided by 352/k + (-2)/(-9)?
9
Suppose -2*m + 18 = 3*r, 2*m + 5*r = 19 - 5. Calculate the remainder when 45 is divided by m.
9
Let t be (-116)/14 + 2/7. What is the remainder when 20 is divided by (-28)/10*20/t?
6
What is the remainder when 57 is divided by 9/(-21) + (-609)/(-49)?
9
Let x(c) = -c + 7. Calculate the remainder when (-4 + -1)*(-16)/10 is divided by x(2).
3
Suppose 6*q - 72 = -0*q. Calculate the remainder when 28 is divided by q.
4
Let p(l) = -l**2 + 11*l - 7. What is the remainder when p(9) is divided by 5?
1
Suppose 0 = -38*r + 37*r + 2. What is the remainder when 5 is divided by r?
1
Let i = -51 - -72. What is the remainder when i is divided by 12?
9
Suppose 3*i + 2*r = 2*i + 14, 0 = 3*i - r - 28. What is the remainder when 67 is divided by i?
7
Suppose 5*r + 2*r = 126. Calculate the remainder when 52 is divided by r.
16
Let c(z) = -z + 6. Suppose t + 2*n - 13 = -n, 4*t - 24 = 2*n. What is the remainder when c(-7) is divided by t?
6
Suppose -7*u = -8*u + 43. Let c = 1 + 10. What is the remainder when u is divided by c?
10
Calculate the remainder when 30*(-4)/(3 - 7) is divided by 3.
0
Let s = 62 + -22. What is the remainder when 118 is divided by s?
38
Let l(x) = 3*x**3 + 20*x**2 + 12*x + 6. What is the remainder when 27 is divided by l(-6)?
3
Suppose 0 = 3*a - 2*x - 55, -a - 5*x = -2*x - 11. What is the remainder when a is divided by 8?
1
Let y = 17 + -1. Calculate the remainder when y is divided by 9.
7
Let a(n) = n + 1. Calculate the remainder when ((-4)/5)/(1/(-5)) is divided by a(2).
1
Let c = -14 + 6. Let b(a) = -4*a - 3. Suppose y - 4 = 4. What is the remainder when b(c) is divided by y?
5
Calculate the remainder when 87 is divided by (1 + (-4)/16)*24.
15
Suppose -19 = -3*t - k, -2*t + 2*k = k - 16. Let l be (4/5)/((-2)/(-30)). Suppose -y = -2*y + l. What is the remainder when y is divided by t?
5
Let s(z) = 