3
Suppose 0*g = -5*g + 2*y + 6, g + 4*y = 10. Suppose 0 - g = -u. Suppose u*m - 13 = 5. Calculate the remainder when 24 is divided by m.
6
Let a(n) = 2*n - 10. Let j be a(6). Suppose 0 = 4*u + 4*s + 26 - j, u = 5*s. Let c = 14 + u. What is the remainder when 25 is divided by c?
7
Suppose -w = 2*w - 12, 5*j - 88 = -2*w. Let s = j - 12. Suppose 0 = 3*b - 12, -5*u + 19 + 52 = s*b. What is the remainder when u is divided by 3?
2
Suppose 3*k = 4*k - 51. Calculate the remainder when 100 is divided by k.
49
Suppose 2*s - 8 = 4. Let f = -207 + 231. Calculate the remainder when f is divided by s.
0
Suppose 5*w - 143 - 67 = 0. Calculate the remainder when 2393 is divided by w.
41
Let y be 1/2*0/2. Let h = -313 - -315. Calculate the remainder when 29 is divided by 10 + -2 + y + h.
9
Let b(v) = -v**3 - 4*v**2 + 6*v + 10. Let t(p) = p**2 - 4*p - 4. What is the remainder when b(-6) is divided by t(-3)?
12
Let w(u) = -11 - 12*u - 8 - u - 4. What is the remainder when w(-5) is divided by 23?
19
Let d be (0 - 6)/((-5)/(-5)). Suppose -2*r + 29 = -13. Calculate the remainder when 64*1 + 3 + d is divided by r.
19
Suppose -5*u = -4*v - 47, 7*v = -5*u + 2*v + 65. Calculate the remainder when 48 is divided by u.
4
Suppose -8*d + 255 = -465. Suppose 73*r - d = 67*r. Calculate the remainder when 99 is divided by r.
9
Let d(w) = 2*w**2 - 2*w + 1. Let t = -32 - -34. Let n be d(t). Suppose 0 = n*c + 5*g - 80, 0*c = -c - 4*g + 10. Calculate the remainder when 35 is divided by c.
17
Let v(z) be the second derivative of z**5/20 + 11*z**4/12 + 3*z**3/2 - 19*z**2/2 + 6*z. Calculate the remainder when v(-8) is divided by 34.
33
Let z = -463 - -521. What is the remainder when 204 is divided by z?
30
Let x be (0/2)/(8/(-8)). Suppose -6*f + 11*f - 115 = x. Let l = f - 6. Calculate the remainder when 33 is divided by l.
16
Let n(h) = h**2 + 17*h + 55. Let v be 170/20*(-2)/1. What is the remainder when n(v) is divided by 16?
7
Calculate the remainder when 143 is divided by (0 + 2)*-10*(-18)/45.
7
Let y = 2053 + -1725. Calculate the remainder when y is divided by 27.
4
Let m(r) = r**2 + 3*r - 5. Let i be m(2). Suppose -5*d = i*p - 80, 2*d = -2*p - 2*d + 40. What is the remainder when 94 is divided by p?
10
Let b = 3 + -4. Let y(w) = -36*w**3 + 1. Let m(x) = 20*x - 86. Calculate the remainder when y(b) is divided by m(5).
9
Let i(b) = 2*b - 4. Let j be i(0). Let p(h) = 5 + 2*h - 12*h + 17*h + 2*h**2. What is the remainder when 16 is divided by p(j)?
7
Calculate the remainder when 5*(15/(-60))/((-5)/148) is divided by 24.
13
Let m(n) = 3*n**2 + 2 - 2*n**2 + n**3 - 9*n + 5 + 7*n**2. Let h be m(-9). Let r = h - -5. What is the remainder when 33 is divided by r?
9
Suppose 10*t - 17*t + 553 = 0. Calculate the remainder when t is divided by 5.
4
Suppose 39 = 2*d - 3*i, 7*i = -2*d + 3*i + 18. Calculate the remainder when 28 is divided by d.
13
Let p(n) = n**3 - 2*n**2 + 2*n - 3. Calculate the remainder when p(3) is divided by -6 - (9 - 15 - 4).
0
Let q be 4 - (-3 + (-2 - -1)). Let r = q + 232. Suppose 0 = -5*t + r - 70. Calculate the remainder when t is divided by 18.
16
Calculate the remainder when (-22 - -19)/((-6)/370) is divided by 32.
25
Suppose 5*n + 185 = 5*v, v - n = 3*v - 59. Calculate the remainder when v is divided by 17.
15
Suppose -9 = -7*d + 5. Suppose -3*x + 3*o = d*x - 124, -5*o + 10 = 0. Calculate the remainder when x is divided by 14.
12
Let d be (24/(-18))/((-4)/(-114)). Let l = -5 + 8. Let p = l - d. What is the remainder when p is divided by 21?
20
Let a(t) = 9*t - 19. Let d be a(-13). What is the remainder when 102 is divided by (d/(-4))/2 - -4?
18
Suppose -4 = 3*z - 4*z. Let j = -1 + z. Calculate the remainder when 17 is divided by 1/(j/60*4).
2
Let s = 37 - 26. Suppose -w + 4*c - 30 = 4*w, -c + s = -3*w. What is the remainder when (2/2)/(w/(-30)) is divided by 8?
7
Let p = 35 - 27. Calculate the remainder when (26/p)/((-5)/(-180)*3) is divided by 7 + -1 + (3 - 1).
7
Let w = -452 + 463. What is the remainder when 75/4 - 1/(-4) is divided by w?
8
Let o be (-2)/2*(-1 - 8). Suppose 2*d = 4*l + 6, 5*d + l - 6 = o. Suppose a + 4*r = 5, 0 = 5*a - 2*r + 4*r - 43. What is the remainder when a is divided by d?
0
Suppose -5*z + 2*j = -38, -2*j - 2*j = -2*z + 12. Let p(b) = -b**3 + 7*b**2 - 6*b + 1. Calculate the remainder when p(5) is divided by z.
5
Suppose 53 = g + 2*g + 4*s, 0 = -4*g + 4*s + 52. Let r = 12 + 35. Suppose -5*v - 3*y = -r, -2*v + 3*y = -5*v + 27. What is the remainder when g is divided by v?
5
Let n be 0 + -4 + 4 + 3 + 2. Suppose 2*v = 4*u - 34, 3*v - n*v = -5*u + 45. Calculate the remainder when 51 is divided by u.
7
Suppose -3*c + 5*c - y = -25, -5*c + 3*y - 61 = 0. Calculate the remainder when (-300)/(-9) + c/(-21) is divided by 9.
7
Let t(v) = -4*v**3 - 4*v**2 - 5*v - 3. What is the remainder when 66 is divided by t(-2)?
20
Suppose 14*j - 343 - 203 = 0. What is the remainder when j is divided by 8?
7
What is the remainder when 36/30*5 - -61 is divided by 23?
21
Let r(a) = 11*a**2 + 3*a + 27. Calculate the remainder when r(-4) is divided by 13.
9
What is the remainder when (-5 + 1)/((12/(-88))/3) is divided by 41?
6
Suppose 6 = q + 4*l - 9, 3*q - l - 58 = 0. What is the remainder when 67 is divided by q?
10
Suppose -910 = 8*g - 9398. Calculate the remainder when g is divided by 38.
35
Let q(r) = 5*r**2 + 4*r + 5. Let u be q(-1). Let b = 43 - u. Suppose -4*z + 47 = 3*o - 2*z, 10 = 2*o - 4*z. Calculate the remainder when b is divided by o.
11
Let a(k) = -24*k + 1. Let r be a(-1). Suppose 5*u = 10*u - r. Calculate the remainder when u is divided by 4.
1
Let q(h) = -h - 27 + 13*h**2 - 16*h - 2*h + h**3. What is the remainder when q(-14) is divided by 6*3/(-6) + 14?
10
Let f(u) = 5*u**3 - u**2 + 10. Let r(c) = c**3. Let s(w) = f(w) - 6*r(w). Let y = -353 - -353. What is the remainder when 18 is divided by s(y)?
8
Suppose -2*r = 3*d - 34, -4*r + 0*d + 56 = 3*d. Suppose 0*n + n = 2*l + 37, -8 = 2*l. Calculate the remainder when n is divided by r.
7
Calculate the remainder when 2/16*1 + (-127)/(-8) is divided by 10.
6
Suppose 4*j + 0*b = 4*b - 632, -3*j + 5*b = 482. Let l = j + 236. Suppose -4*x + l = -2. What is the remainder when 39 is divided by x?
18
Suppose -3*s = -6*s - 54. Let k = -16 - s. Suppose 0 = -4*z - 3*c + 168, k*c - 6*c + 119 = 3*z. What is the remainder when z is divided by 16?
13
Let a be 0 + -5 - -1 - (-1173)/17. Suppose -3*l + 8*l - a = 0. Calculate the remainder when 36 is divided by l.
10
Let z(f) = f**2 + f - 3. Let l be z(7). Let h = l + -27. What is the remainder when 48 - 7/(28/(-12)) is divided by h?
25
Let m(n) = 8*n + 2*n**3 - 3*n**3 - 8*n**2 + 0 + 11. Let h be m(-9). Let k = 24 - h. What is the remainder when 17 is divided by k?
1
Suppose -68 = -5*i - 3*a - 249, 0 = i + 3*a + 29. Let y = i + 26. Let t = y + 17. Calculate the remainder when 9 is divided by t.
4
Calculate the remainder when 7 + (13 - 7) + -4 is divided by 6.
3
What is the remainder when (-4968)/(-230)*20/6 is divided by 12?
0
Let y be (-12)/(4/(18 - 2)). Let f = -35 - y. What is the remainder when 19 is divided by f?
6
Suppose 0 = -88*b - 67 + 1739. Calculate the remainder when 286 is divided by b.
1
Suppose -11*y - 13 = -57. What is the remainder when 247 is divided by y?
3
Let m(a) = -a**3 + 8*a**2 - 4*a - 9. Suppose 0 = -5*z + 5*s + 120, 5*z = 6*z + 5*s - 6. Calculate the remainder when z is divided by m(7).
9
Let o be 8/(-14) + 190/14 + -3. Suppose o = 3*p - 80. Calculate the remainder when 40 is divided by p.
10
Suppose -50*p - 3735 = -95*p. Calculate the remainder when p is divided by 23.
14
Suppose -178 = -s - 0*s. Suppose 0 = 3*w - 2*w + 298 - 328. Calculate the remainder when s is divided by w.
28
Suppose 7*u = -u + 2384. Suppose -14 + u = 4*t. Calculate the remainder when t is divided by 24.
23
Suppose -w + 2*w = 15. Suppose -30*c + 33*c = 219. Calculate the remainder when c is divided by w.
13
Suppose -4*t + 17 = -19. Suppose -t*o - 10 = -10*o. What is the remainder when o is divided by 4?
2
Let y(g) = g**3 - 5*g**2 - g + 5. Let z be y(2). Let r(f) = -f**3 - 7*f**2 + 9*f - 3. What is the remainder when r(z) is divided by 27?
24
Let b(h) = -h**2 - 7*h + 4. Let r be b(-6). Calculate the remainder when 7 is divided by -4 - (5/r - 57/6).
2
Let j be (-2)/(5*(-1