is divided by 23?
21
Suppose -53*t - 90 = -58*t. Let w(j) = j**2 - 16*j - 19. Calculate the remainder when 32 is divided by w(t).
15
Let t(g) = -2*g**2 - 9*g + 407. What is the remainder when 2207 is divided by t(12)?
7
Calculate the remainder when 1152 is divided by (-6)/(-10) + 972/30.
30
Let b(a) = -a**3 - 8*a**2 + 26*a - 12. What is the remainder when 192 is divided by b(-11)?
62
Let m be (6 - 0/3)/2. Let t be 60/32 + m/24. Suppose q + 2*u = -3*q + 142, t*u - 72 = -2*q. Calculate the remainder when q is divided by 19.
16
Suppose 68*o + 962 = 94*o. What is the remainder when 103 is divided by o?
29
Suppose p = 2*g - 3*g, g = 2*p - 12. What is the remainder when p is divided by 4?
0
Let q(r) = r**3 - 12*r**2 + 2. Let n be q(12). Suppose n*a = 29 + 9. Calculate the remainder when 51 is divided by a.
13
Let u(k) = k**2 + 10*k + 82. Calculate the remainder when u(24) is divided by 53.
50
Let h(q) = -4*q - 11. Let c = 12 - 18. Calculate the remainder when h(c) is divided by 8.
5
Suppose -4 = 4*i + 16, 2*i + 18 = q. Let c = -351 + 390. What is the remainder when c is divided by q?
7
Let c = -17 + 26. Suppose -4*o = 5*q - o - 74, -q = -3*o - 4. Suppose -q = -f + c. What is the remainder when 64 is divided by f?
20
Let t be -1*(-1)/(1/4). Suppose -t*n - 303 = -5*w - 0*n, 3*w - 173 = -2*n. Calculate the remainder when w is divided by 16.
11
Let p = 65 + -59. Let c(s) = -2*s**3 - 3*s**2 + 3*s - 3. Calculate the remainder when c(-3) is divided by p.
3
Let h(m) = m**3 + 2*m**2 - 19*m - 6. What is the remainder when 24 is divided by h(-5)?
10
Suppose -5*o + 49 = 9. Let l(x) = -x**2 + 12*x - 11. What is the remainder when 39 is divided by l(o)?
18
Suppose -3*x = -9 - 0. Suppose x*j - 18 = -3*j. Suppose -j*v = 5*y - 68, -2*y + 0*y + 145 = 5*v. Calculate the remainder when 122 is divided by v.
29
Let m(g) = -7*g + 100. What is the remainder when 87 is divided by m(11)?
18
Let j(y) = 2*y + 120. Calculate the remainder when j(-35) is divided by 9.
5
Suppose 3 - 144 = -3*d. Calculate the remainder when 115 is divided by d.
21
Suppose 0 = -r - 5*r. Suppose r = -2*q - 5*i + 66, -5*q + 43 = 3*i - 122. Calculate the remainder when q is divided by 2/(-9) - (-166)/18.
6
Let t(x) = 0*x**3 - 2*x**3 + x**3 + 8 - 3*x**2 - 4. Calculate the remainder when 11*2/4*2 is divided by t(-3).
3
Suppose -4*h + 6 = 4*k + 54, 3*k + 23 = -2*h. Let o(z) = 3*z**3 - 3*z**2 + z - 1. Let r be o(2). What is the remainder when 5 is divided by 0 + 5 + r/h?
1
Suppose -r = -0*r - 11. Suppose 0 = 3*a - 2*i, -4*i = 5*a - 10*a. Suppose a = 3*t + t - 124. Calculate the remainder when t is divided by r.
9
Let h(b) = b**2 + 8*b - 25. Calculate the remainder when h(14) is divided by 19.
17
Suppose 3*l - 2*f = 2*l + 29, -2*f = -5*l + 153. What is the remainder when l is divided by 4?
3
Let d(a) be the second derivative of 2*a**3/3 - 9*a**2/2 - 16*a. What is the remainder when 6 is divided by d(3)?
0
Suppose 0 = -2*r + 3*a + 100, -a + 4*a - 59 = -r. Suppose 0 = -2*f - 11 + r. Calculate the remainder when 39 is divided by f.
18
Suppose -3*p + 11 = -2*p. Suppose -22 - p = -l. What is the remainder when l is divided by 18?
15
Let q = -206 - -254. What is the remainder when q is divided by 28?
20
Let a(d) = -7*d - 31. What is the remainder when (-30)/(-12)*38/5 is divided by a(-6)?
8
Let z(o) = -9*o**3 - o**2 + 11*o + 16. Suppose 4*b - 18 = -3*w + 28, 3*w + 32 = 2*b. Calculate the remainder when z(-2) is divided by b.
10
Suppose 0 = -14*i - 211 + 645. What is the remainder when 153 is divided by i?
29
Suppose 498 = 5*h + 3*j, -h = j - 58 - 40. Let r(x) = 21*x**2 + 6*x - 6. Calculate the remainder when h is divided by r(1).
18
Let v = -225 + 302. What is the remainder when v is divided by 45?
32
Let a(m) = -2*m**2 + 31*m - 17. What is the remainder when a(11) is divided by 24?
10
Let k(r) = r**2 + 9*r - 12. Let u(j) = -4*j**2 - 28*j + 35. Let i(o) = -7*k(o) - 2*u(o). Calculate the remainder when i(10) is divided by 15.
14
Suppose -4*s - q + 227 = 0, -2*s + 230 = 2*s + 2*q. Let h = s + -19. What is the remainder when h is divided by 19?
18
Suppose 2*d - 104 = 4*z, -2*z - 118 = -2*d - 18. Let h = 25 - 0. Calculate the remainder when d is divided by h.
23
Suppose -i + 23 = 16. Suppose -65 + i = -2*a. Suppose -3*u - 18 = -2*g, 10 = 3*g + 5*u - u. Calculate the remainder when a is divided by g.
5
Let t(g) = 37*g - 150. Calculate the remainder when t(8) is divided by 52.
42
Let r(k) = -k**3 + 14. Suppose -2*s = -4*s + 124. Let x = -57 + s. What is the remainder when r(0) is divided by x?
4
Let j(q) = 3*q**2 - 22*q + 22. Calculate the remainder when 94 is divided by j(7).
4
Suppose -3*a + 4*a - 29 = 5*l, -2*a - 2*l - 2 = 0. Suppose -m - 2*s = 2*s + 6, 0 = a*s + 12. What is the remainder when -2 + 1 + (-14 - -26) is divided by m?
5
Suppose 12 = 4*t, -i - t - 117 = 3*i. Calculate the remainder when 22 is divided by 12/15*i/(-3).
6
Suppose 58 = 4*p - 3*w, -58 - 2 = -4*p + 4*w. What is the remainder when 36 is divided by p?
10
Let w = 819 - 778. What is the remainder when 240 is divided by w?
35
Suppose 4*n - 66 = -46. Suppose -x + 2*m + 14 = 0, 4*x + 0*x + n*m = 4. Calculate the remainder when 23 is divided by x.
5
Let t = 5 + -12. Let j(v) = 16*v + 86. Let m(d) = -3*d - 17. Let w(y) = -2*j(y) - 11*m(y). What is the remainder when 23 is divided by w(t)?
7
Calculate the remainder when (-54 + -1 + 6)*-1 is divided by 18.
13
Suppose 0*s + 10 = -2*s, -4*p - 2*s + 234 = 0. Suppose 2*d - 2*u - 40 = 0, 44 = 4*d + 3*u - 43. Calculate the remainder when p is divided by d.
19
Let t(d) = -2*d**2 + 37*d - 4. What is the remainder when t(14) is divided by 18?
14
Suppose 0 = 3*m - 28 + 73. Let d = 50 + m. Calculate the remainder when d is divided by 9.
8
Let h(a) = -5*a - 2. Suppose -16 = f + 3*f + o, 0 = 2*o - 8. What is the remainder when (-2700)/(-195)*(-13)/(-2) is divided by h(f)?
21
Suppose 2*p - 5 = 5, 0 = -5*s + 2*p + 390. Let h = s + -39. What is the remainder when h is divided by 22?
19
Calculate the remainder when 5 - 1 - 219/(-1) is divided by 75.
73
Let v = 9 + -9. Let q = 7 - v. Calculate the remainder when 8*(18/8)/1 is divided by q.
4
Let p(i) = i**2 - 26*i + 113. Suppose 0 = -5*n + a + 22, 0 = -a + 1 - 3. What is the remainder when p(21) is divided by n?
0
Suppose -p = -18*p + 22627. Calculate the remainder when p is divided by 43.
41
Suppose 3*z = -4*c + 2247, 5*c - 2468 = 3*z + 307. Calculate the remainder when c is divided by 40.
38
Let u = 22 - 14. Suppose -44 = -3*r - f + 47, -5*r + 3*f = -133. What is the remainder when r is divided by u?
5
Suppose 12*t + 109 = 4*j + 7*t, 3*j - 77 = -t. Calculate the remainder when 174 is divided by j.
18
Let y(u) = u**2 + 2*u + 58. Let a be y(0). Suppose a = -5*t + 163. Suppose t + 15 = 4*v. What is the remainder when 43 is divided by v?
7
Suppose 3*c = -c + 48. Suppose 25 = -13*u + c*u. What is the remainder when 10/u + 744/10 is divided by 19?
17
Let i be (-1)/2 - (-6)/((-12)/(-29)). Suppose -i*z = -136 - 46. What is the remainder when 23 is divided by z?
10
Suppose 11*n - 13*n - 5*u = -19, -2*n - 3*u = -13. Calculate the remainder when 18 is divided by n.
0
Let a = 12 - 11. Let d(x) = x**3 - 3*x**2 + 2*x. Let n be d(2). Suppose 4*l - o - 3 + n = 0, l = 5*o - 4. Calculate the remainder when a is divided by l.
0
Suppose 13*g = 5*f + 10*g - 43, 0 = 5*f + 5*g - 35. What is the remainder when (-4)/6 - 136/(-6) is divided by f?
6
Let z(k) = -16*k + 97. What is the remainder when z(0) is divided by 29?
10
Let t(a) = 23*a**2 + 16*a**2 + 2*a - 2*a. Calculate the remainder when t(1) is divided by 21.
18
Suppose -25*a + 6*a = -931. Suppose -j + l - 9 = 0, 0 = j - 2*l + 3 + 3. Let z = j - -38. Calculate the remainder when a is divided by z.
23
Let d(t) = 4*t**2 + 2*t + 37. What is the remainder when d(5) is divided by 19?
14
Let k be (-4)/((-16)/(-12)) - -74. Let y = 147 - k. Calculate the remainder when y is divided by 11.
10
Let p(q) = -q**2 - 19*q - 31. Suppose 0 = -4*y + 3 - 51. Calculate the remainder when p(y) is divided by 28.
25
Let r(i) = 16*i**2 + 2*i. Let q = 19 + 5. What is the remainder when r(-1) is divided by ((-16)/5)/(q/(-60))?
6
Suppose 0 = 8*h - 31 - 49. Let z(t) = -t**3 - 3*t**2 + 8*t + 7. Let k be z(-5). Suppose 17 = 2*c - k. What is the remainder when c i