 5*d - 38. Calculate the remainder when (94/a)/(-2*(-2)/12) is divided by 18.
11
Suppose 5*p + i = 4356, -6*p = -4*p - 4*i - 1738. Calculate the remainder when p is divided by 19.
16
Suppose 3*j - 358 = 4*u, -3*j + 0*u + 356 = -2*u. Suppose 3*y + 0*y - 389 = -p, 2*p = y - j. What is the remainder when y is divided by 43?
42
Let q = 14 - 13. Suppose 0 = 3*b - 10 + q. Suppose 11*v - 62 - 59 = 0. What is the remainder when v is divided by b?
2
Suppose 3*j - 22 = 4*r, -4*r - r + 25 = 5*j. Suppose j*v - v - 6 = y, -4*y - 24 = -v. Calculate the remainder when 79 is divided by (8/y)/(6/(-72)).
15
Suppose 370 = 19*b - 219. Calculate the remainder when 70 is divided by b.
8
Let b = -294 - -338. Calculate the remainder when 171 is divided by b.
39
Let m = 2172 + -2142. What is the remainder when 105 is divided by m?
15
Let q = 22 + 6. What is the remainder when q is divided by 1?
0
Suppose 0 = -r - r + 168. Suppose -5*g + g = -r. Calculate the remainder when g is divided by -2 - (-2*8 + 1).
8
Let h(o) = -o**3 + 9*o**2 - 5*o - 7. Let f be h(7). Let b = f + -31. What is the remainder when 98 is divided by b?
23
Let b = -151 - -310. Let q(a) = a**3 + 11*a**2 + 7*a + 9. Let w be q(-9). Let p = b - w. Calculate the remainder when p is divided by 18.
15
Let v be (18/(-4))/(1 - (-14)/(-8)). Calculate the remainder when v/((-2)/(-5) + 21/60) is divided by 4.
0
Let a(o) = o**2 + 11*o + 28. Let r be a(-20). Let d = -51 + r. What is the remainder when d is divided by 40?
37
Let v(k) = -k**3 - 16*k**2 - k - 17. Let p be v(-16). What is the remainder when 48 is divided by 24 + (3 - p/(-1))?
22
What is the remainder when -80*28/(-22) + (-76)/(-418) is divided by 18?
12
Let y(c) = 14*c - 181. Calculate the remainder when y(18) is divided by 12.
11
Suppose 30*a - 15*a - 530 = -91*a. Suppose 0*i - 5*i + 90 = 0. What is the remainder when i is divided by a?
3
Suppose -3*r + 80 = r + 4*g, 2*r + 5*g = 46. What is the remainder when 17 is divided by (-2)/(-9) - (-176)/r?
7
Suppose 5*g + j = 683, -3*j = -5*j + 6. Calculate the remainder when 281 is divided by g.
9
Let y be 10 - ((4 - 0) + -3). Suppose -4*s - 3*k + 23 = 0, -2*s + 3*k = 4*k - y. What is the remainder when 4 is divided by s?
0
Let h(u) = 2*u + 16. Let b be h(-7). Suppose 2 = -b*d + 6. Let x(m) = -m**2 - 7*m - 3. Calculate the remainder when x(-5) is divided by d.
1
Let h be (-8)/12 - 177/(-9). Let i be 18/(-6)*h/1. Calculate the remainder when 13 is divided by i/(-76) - (-66)/8.
4
Suppose -19*p = 23*p - 1386. Let o(r) = r**2 + 3*r + 4. Let w be o(-3). Suppose w*x = -x + 60. Calculate the remainder when p is divided by x.
9
Let a = 71 - -92. Suppose 5*i + 60 = -2*j + a, 5 = -5*i. Calculate the remainder when j is divided by 19.
16
Suppose -6*w + w - 154 = -y, 7*y - 3*w - 1174 = 0. What is the remainder when y is divided by 10?
9
Suppose 0 = -3*l + 5*l - 62. Let z(b) be the first derivative of -b**4/4 + 10*b**3/3 - 4*b**2 + 2*b - 3. Calculate the remainder when l is divided by z(9).
9
Let k = 9 + -3. Let w(g) = 0 - 1 - 8*g - 2 + 10*g**2 + 6*g. What is the remainder when w(-1) is divided by k?
3
Suppose -u + 37 = 3*g - 11, -5*g - 2*u + 81 = 0. Suppose 0 = 5*s - 7 - 3. Let k(z) = 22*z - 1. What is the remainder when k(s) is divided by g?
13
Suppose 0 = 6*a - 1042 - 584. Calculate the remainder when a is divided by 55.
51
Let u(s) = s**2 + 9*s + 15. Suppose 3*i + 9 = -9. Let t be u(i). Let a = t - -32. Calculate the remainder when a is divided by 10.
9
Let n = 51 - 21. Let l(a) = a**3 - 13*a**2 + 17*a - 49. Let k(p) = -p**2 + 18*p + 12. Let s be k(18). What is the remainder when n is divided by l(s)?
8
Suppose v - 7 = 5*w - 3*w, 0 = 2*w + 5*v + 37. What is the remainder when 18 is divided by ((-42)/(-12))/((-3)/w)?
4
Suppose 0 = -2*z - 2*a + 108, 5*z + a - 203 = 75. Calculate the remainder when 275 is divided by z.
51
Suppose 4*p - 136 + 32 = -4*u, -5*p = -2*u + 24. What is the remainder when 288/30*(2 - (-16)/12) is divided by u?
10
Suppose -7 = 3*o - 22. Let f(c) = c**2 + 2*c - 7. Let y be f(o). Suppose -5*w + y = -3*w. What is the remainder when 67 is divided by w?
11
Let a = 7 - -8. Let v(l) = 3*l - 5*l**2 - 2*l**2 + 37 - 4*l**2 - l**3. Calculate the remainder when a is divided by v(-11).
3
Let m = 104 - 82. Calculate the remainder when m is divided by 8.
6
What is the remainder when (-6)/(-10) + (-172584)/(-510) is divided by 31?
29
Let s = -600 + 617. Calculate the remainder when 62 is divided by s.
11
Suppose 0*z - 67 = -4*z + 3*g, 60 = 5*z + g. Let v(c) = 2*c**3 + 73*c**2 + 33*c - 61. Calculate the remainder when v(-36) is divided by z.
8
Calculate the remainder when 77 is divided by (-660)/(-16) - (15/(-4))/(-3).
37
Let w(n) = -n**2 + 10*n + 17. Let v(l) = -l**3 + 4*l**2 + 6*l + 6. Let k be v(5). What is the remainder when 14 is divided by w(k)?
2
Calculate the remainder when 191 is divided by (-19 + 21)/((-2)/(-32)).
31
Suppose 0 = 22*u - 73 + 116 - 87. Suppose -3*j + 9 = -b, 0*j = 4*b - j + 14. Calculate the remainder when u is divided by 10/4 - b/(-6).
0
Suppose -15 - 15 = -3*v. Suppose -3*t = -v*t + 35. What is the remainder when 14 is divided by t?
4
Suppose 1613 + 2257 = 18*n. Calculate the remainder when n is divided by 72.
71
Let m = -117 + 266. What is the remainder when m is divided by 31?
25
Let p(i) = i**3 - 7*i**2 - 8*i + 3. Let n be p(8). Suppose -8 = -4*y, -5*b = 7*y - n*y - 123. Let v = 70 - -21. Calculate the remainder when v is divided by b.
22
Suppose -181 - 71 = -6*r. Suppose 4*y = -5*a + a + 96, -5*a = -y + r. Calculate the remainder when 44 is divided by y.
17
Let n(k) = -k**3 - 8*k**2 - k - 7. Let g be n(-8). What is the remainder when 54 is divided by (9 - (3 + -2))*g?
6
Let k be (1 + -3)/((-1992)/(-330) + -6). Let h = -28 - k. Calculate the remainder when 77 is divided by h.
23
Let o = -6 - -9. Let z(q) be the third derivative of q**5/60 - q**4/6 + 2*q**3/3 - 4*q**2 + 1. Calculate the remainder when 1 is divided by z(o).
0
Suppose 4*t - 34 - 130 = 0. Let h = 65 + -43. Let q = 44 - h. What is the remainder when t is divided by q?
19
Suppose -34*r + 3392 = 94. Calculate the remainder when 483 is divided by r.
95
Suppose -39 + 144 + 7 = 28*k. Suppose s = 25 + 2. Calculate the remainder when s is divided by k.
3
Let u(a) = -a**2 + 4*a - 15. Let z be u(7). Let w = -27 - z. Calculate the remainder when 33 is divided by w.
6
Suppose -5*t - 256 = -5*i - t, 2*i - 76 = -5*t. Let z be ((-6)/(-5))/(i/(-320)). What is the remainder when z/12*-15*3 is divided by 11?
8
Suppose -3*w + 116 = 2*f, 0 = -5*f - 4*w + w + 272. What is the remainder when 89 is divided by f?
37
Let y be (-94)/(-18) - 26/117. Suppose t - 18 = -3*t - 2*v, -5*t + y*v = -15. Suppose t*w - 3*w = 6. Calculate the remainder when w is divided by 4.
2
Let w(q) = 2*q**2 + 71*q - 33. Let v = 68 - 47. What is the remainder when v is divided by w(-36)?
0
Let z(w) = -w - 9. Let x be z(4). What is the remainder when 50 is divided by -9 - -8 - (-1 + x)?
11
Let x(b) = 25*b**2 - b + 1. Calculate the remainder when 197 is divided by x(2).
98
Suppose 82*d - 76*d = 48. What is the remainder when 31 is divided by d?
7
Let f = -50 + 160. Calculate the remainder when f is divided by 7.
5
Suppose 0 = -14*d + 133 + 189. Suppose 2*o = n, 4 = -4*o + 7*n - 3*n. What is the remainder when d is divided by o - -3*5 - 1?
8
Suppose -3*k + 2*k + 1530 = -5*z, -5*z - 12345 = -8*k. Calculate the remainder when k is divided by 91.
89
Calculate the remainder when 566 is divided by 135/(-27) + (-1)/((-2)/28).
8
Let k = -27 + -1. What is the remainder when (k/(-8))/(-1 + (-49)/(-48)) is divided by 43?
39
Let p(h) = -h + 39. Calculate the remainder when 32 is divided by p(34).
2
Let a be 0 + -4 + 4 - 2. Let j = 139 + a. What is the remainder when j is divided by 28?
25
Suppose 0 = 5*x + 3*u + 305, 0*x = -3*x + 5*u - 149. Let m = 6 - x. What is the remainder when m is divided by 22?
20
Let i(c) = c**2 - 6*c - 11. Let j be i(5). Let a = j - -24. Calculate the remainder when 12 is divided by a.
4
Let p = -25 + 8. Let l = p - -28. Suppose -3*u + 42 = -u. What is the remainder when u is divided by l?
10
Suppose 15 = -14*h + 17*h. Calculate the remainder when 43 is divided by h.
3
Let d(g) = -2*g**2 - 27*g - 11. Let b be d(-13). Suppose -2*s + 120 = 2*u, -b*s + 299 