 remainder when 19 is divided by s.
5
Let k(r) = 9*r**2 - 4*r + 4. Let y be k(3). Suppose -5*v - 184 - 1 = 0. Let u = v + y. Calculate the remainder when u is divided by 19.
17
Suppose -17 = -5*k + 33. Calculate the remainder when 37 is divided by k.
7
Suppose 0 = t - 6. Suppose -t = 4*g - 26, 4*g - 52 = -4*y. Calculate the remainder when y is divided by 5.
3
Suppose 0 = -3*i - 5*r + 29, r - 3*r + 61 = 5*i. What is the remainder when 49 is divided by i?
10
Suppose -3*p + 56 = p. Suppose -3*o + 43 = -p. Calculate the remainder when 55 is divided by o.
17
Let j(t) = -15*t - 5. Let a(s) = s**2 + 13*s + 34. What is the remainder when j(-6) is divided by a(-12)?
19
Let r be (0 - 1)*-1*18. What is the remainder when (-4)/18 - (-40)/r is divided by 2?
0
Suppose 0 = 2*v - 0*v - 58. Suppose -v = -a + 5. Calculate the remainder when a is divided by 12.
10
Let u(y) = -y**3 + 9*y**2 - 9*y + 10. Let q be u(8). Suppose -b = -4*v + q*v, 2*b - v = -6. Let a = b - -11. Calculate the remainder when 12 is divided by a.
5
Let v = 1 + 20. Suppose -v - 79 = -4*p. Calculate the remainder when 49 is divided by p.
24
Let n = 79 - 28. Suppose 2*y + 4*o - 44 = 0, 2*o + 107 - 25 = 3*y. What is the remainder when n is divided by y?
25
Let s(u) = -u**3 - 4*u**2 - 3*u + 1. Let b be s(-3). Calculate the remainder when (8/(-3))/(b/(-12)) is divided by 17.
15
Let a = 671 + -477. What is the remainder when 1 - (4 - a/2) is divided by 24?
22
Let f(w) = 15*w**2 + 10*w**2 - 24*w**2 - 6*w + 3. Calculate the remainder when f(6) is divided by 1.
0
Let d = -2 - -5. Let o(v) = -v**2 + 4*v - 3. Let a be o(d). Suppose a = -3*k, 4 = j + 2*k - 15. Calculate the remainder when j is divided by 7.
5
Let u = -55 - -70. Calculate the remainder when 44 is divided by u.
14
Suppose 462 - 97 = 5*x. Suppose -2*p + 7*p + 132 = -3*w, -3*w - p - 132 = 0. Let r = w + 63. Calculate the remainder when x is divided by r.
16
Let t(q) = 18*q + 34. Calculate the remainder when t(7) is divided by 9.
7
Let d(z) = z**3 + z + 118. Calculate the remainder when d(0) is divided by 30.
28
Suppose -5*a + 80 + 215 = 0. Calculate the remainder when a is divided by 20.
19
Calculate the remainder when 32 is divided by -6 + 20 + 0 + -3.
10
Suppose 12 = -k - 11*k. Suppose -26 = -0*c + 2*c. Let a = k - c. Calculate the remainder when 22 is divided by a.
10
Suppose -2*c + 5*r = -c - 9, -5*c - 4*r + 74 = 0. Calculate the remainder when 55 is divided by c.
13
Let r(d) = -2*d**2 - 109*d - 47. Suppose 0 = -4*g + g. Suppose -4*m = -g*m - 12. Calculate the remainder when r(-54) is divided by m.
1
Let x be 72/(-88) + (-4)/22. What is the remainder when 0 - (-54 + (x - -1)) is divided by 14?
12
Suppose -h = 2*h + 5*m + 4, -34 = -2*h + 4*m. Calculate the remainder when h is divided by 2.
1
Let i(r) = -r + 6. Let q be i(4). Let y(v) = 0*v**2 - v - 4*v + v**q - 12 + 3. What is the remainder when 8 is divided by y(7)?
3
Suppose 0 = 6*x + 5 - 113. What is the remainder when x is divided by 7?
4
Let z = -8 + 8. Suppose 2*k + 2*v - 52 = z, 5*k - v - 118 = -0*k. What is the remainder when 46 is divided by k?
22
Let u = 92 + -40. Calculate the remainder when u is divided by 20/1 - 2/1.
16
Let h be ((-2)/4)/(1/14). Let n = h - -17. What is the remainder when (-2 + -4 + -13)*-1 is divided by n?
9
Suppose -4*i = 3*q + 170, i = 2*i + 5. Calculate the remainder when q/3*12/(-5) is divided by 21.
19
Suppose -7 = -3*o - 5*g, 3*g - 24 = -4*o - 0*g. Calculate the remainder when 33 is divided by o.
6
What is the remainder when 107 is divided by 0 + -2 - -2 - -36?
35
Let s(n) = -12 + n**2 - 16 + 38 + 11*n. Suppose -u - 2 = 0, -5*q + u + 5 = 6*u. Calculate the remainder when s(-11) is divided by q.
1
Let u be (604*-1)/(-4) - -2. Let y = -108 + u. What is the remainder when y is divided by 23?
22
Calculate the remainder when 31 is divided by 20 + -7 + (0 - -4).
14
Let d be (-534)/27 + (-4)/18. Let q = -19 + 9. Let z = q - d. What is the remainder when 19 is divided by z?
9
Suppose l - 6 + 1 = 0. Calculate the remainder when l is divided by 3.
2
Suppose 4 = -2*w, -47 = -0*q - 3*q - 2*w. Suppose 3 + 5 = -4*r. What is the remainder when ((-10)/4 - r)*-100 is divided by q?
16
Let z = -16 - -36. Suppose -3*u - 4*b + 127 = 0, b - z = -4*b. Calculate the remainder when u is divided by 13.
11
Suppose 0 = w + 4 - 5. Let z(b) be the second derivative of 7*b**3/2 + b. Calculate the remainder when z(w) is divided by 11.
10
Suppose -5*x = 2*m - 1, -3*m + 1 + 12 = -4*x. Let p(y) = -3*y**3 + y**2 + 2*y + 1. Calculate the remainder when 3 + -4 + 4 + (-15)/(-3) is divided by p(x).
2
Let c(k) = 2*k + 4. Suppose -4*g + 0*l + 44 = 2*l, -5*g + 69 = -l. Let o = g + -8. Calculate the remainder when c(5) is divided by o.
4
Let d(a) = -a**2 - a - 1. Let x(k) = -3*k**2 + 8*k + 5. Let l(f) = 4*d(f) - x(f). Calculate the remainder when l(-9) is divided by 10.
8
Suppose -4*m - 68 + 312 = 0. Let s = m - 28. Calculate the remainder when s is divided by 17.
16
Suppose -4 = -s + 4*r + 1, 0 = -5*s - 2*r + 91. Calculate the remainder when s is divided by 9.
8
What is the remainder when 1*96 - (-20)/(-5) is divided by 24?
20
Suppose 2*q = b - 44, -2*b + 186 = 2*b + 2*q. Suppose 72 = 12*a - 9*a. Calculate the remainder when b is divided by a.
22
Let w = -36 + 113. Calculate the remainder when w is divided by 16.
13
Let t = -13 + 17. What is the remainder when 17 is divided by t?
1
Suppose 2*l - 8 = -4. Suppose q - 45 = -l*q. Calculate the remainder when 43 is divided by q.
13
Let z(j) = -7*j + 5. Let k(a) = -a. Let o(s) = 3*k(s) - z(s). Let i be o(8). Suppose -5*b = -i - 13. What is the remainder when 22 is divided by b?
6
Let a be 4 - 2 - -1*6. Let m(j) = -j + 24. What is the remainder when 62 is divided by m(a)?
14
Suppose 10 = 2*x - 46. What is the remainder when 12 is divided by ((-2)/8)/((-1)/x)?
5
Suppose -4*j - 22 = -5*v, -3*v - 2*j - 2 = -v. What is the remainder when 30/4*(-8)/(-6) is divided by 40/6 - v/3?
4
Let f = -39 + 68. What is the remainder when f is divided by 7?
1
Suppose -18*r + 17 + 163 = 0. Let b(o) = 15*o**2 - o - 2. Let h be b(2). Let t = h + -28. Calculate the remainder when t is divided by r.
8
Let i(r) = 16*r**2 - 2*r - 3. What is the remainder when i(-1) is divided by 4?
3
Let y(r) = r**2 + 7*r + 9. Let o be y(-6). Let u(i) = 2*i + 4. Suppose 4*a - 71 = 45. Calculate the remainder when a is divided by u(o).
9
Let h = -73 - -136. Suppose -8*g + 110 = -3*g. Calculate the remainder when h is divided by g.
19
Let u = -7 + 9. Suppose -u*r + 58 - 14 = 3*x, 0 = 4*r - 4. Calculate the remainder when x is divided by 5.
4
Suppose 5*p + 4*j = 334, 2*j + 2 = 4*j. Calculate the remainder when p is divided by 15.
6
Calculate the remainder when 11 is divided by (36/27)/((-4)/(-6)).
1
Suppose 0 = 5*k + 3*a - 44, -2*k = -6*a + 2*a - 28. What is the remainder when 39 is divided by k?
9
Let y(p) = p**3 + 4*p**2 + p - 3. Let r(v) = -v. Let j be r(6). What is the remainder when 4/(-6) - 52/j is divided by y(-3)?
2
Let y = 170 + -121. Suppose -4*d = 5*s - 45, -80 = -5*s - 0*d + 3*d. What is the remainder when y is divided by s?
10
Let r(m) = 2*m. Let s(f) = -f. Let k(v) = r(v) + s(v). Calculate the remainder when k(13) is divided by 4.
1
Let y = 116 - 79. Suppose 0 = 2*h - d - 3*d + 6, -5*h + y = 3*d. Suppose -k = -14 + 5. What is the remainder when k is divided by h?
4
Suppose -5*c + 68 + 277 = 0. What is the remainder when c is divided by 24?
21
Suppose -9 + 1 = 2*b, 8 = i + b. Calculate the remainder when 59 is divided by i.
11
Let g(w) = w**3 - 7*w**2 - 2*w - 4. Let l(x) = -x**3 + x**2 - x + 1. Let v(r) = -g(r) - 2*l(r). What is the remainder when 23 is divided by v(-2)?
5
Let v = 65 + -39. What is the remainder when v is divided by (-114)/(-8) - (-7)/(-28)?
12
Let h be (8/(-10))/(6/(-45)). Let g be (28/(-5))/(h/(-30)). Let c = g + -2. Calculate the remainder when c is divided by 9.
8
Suppose 0 = -2*q - 0*q. Suppose 3*p = -t - q*t + 287, -2*p + 2*t + 186 = 0. Calculate the remainder when p is divided by 24.
23
Suppose 3*z = -6, -5*u - 4 = 3*z - 18. Let i = u + 0. Suppose 5*x - 49 = 4*x - 3*d, i*d = -x + 53. What is the remainder when x is divided by 13?
11
Suppose p - 21 = 5*c - 0*c, 0 = c + 5*p - 1. Let o(b) = b**2 + 2*b + 6. What is the remainder when o(c) is divided by 8?
6