 2*v + a*v = 50. What is the remainder when v is divided by 9?
1
Calculate the remainder when (2 - 2713*-2)/(11 - (-9)/(-1)) is divided by 227.
217
Let i = -61 + 468. What is the remainder when i is divided by 22?
11
Let m(b) = b**3 + 6*b**2 - b + 8. Suppose 6*r - 23 - 637 = 0. What is the remainder when r is divided by m(-6)?
12
What is the remainder when (-2 - 916*8)/(104 - 100)*-2 is divided by 47?
46
Let b(t) = -t**3 - 8*t**2 - 13*t - 2. Let v be b(-6). Suppose 4*i + v + 2 = -2*s, 33 = 4*s - i. What is the remainder when s is divided by 4?
3
Suppose 8*w = -3*n + 1375, n = w - 2*w + 450. Calculate the remainder when n is divided by 227.
218
Let p be (-764)/(-28) + 10/(-35). Let j = -36 + p. Calculate the remainder when 5 is divided by (-4)/(-8) + j/(-6).
1
Calculate the remainder when 11724 is divided by 14 + 7/((-161)/(-69)).
11
Let j(k) = -10*k - 5. Let a(i) = 61*i - 2193. What is the remainder when j(-4) is divided by a(36)?
2
Let p(v) = -36*v - 40. Let x be p(-8). Let i(g) = g**3 - 19*g**2 - 21*g + 44. Calculate the remainder when ((-12)/(-16))/(2/x) is divided by i(20).
21
Let u(k) = k - 32. Let x be u(-3). Let f = 66 + x. What is the remainder when 51 is divided by f?
20
Let q(c) = -c**2 - 42*c + 1017. What is the remainder when 1407 is divided by q(-59)?
7
Let q(m) = -m**2 - 20*m - 28. Let i be q(-8). Let z be i/((-3)/3) - -3. Calculate the remainder when 77 is divided by -1*z/(-15)*(-3 + 0).
12
Let b be (2/4)/(2/24). Let n(r) = -4*r - 58. Let l be n(-15). Suppose -l*u - u + 123 = -q, 0 = -2*q + b. Calculate the remainder when u is divided by 11.
9
Let t = 9462 + -9397. Calculate the remainder when 1163 is divided by t.
58
Let w(q) = 302*q**2 - 2*q. Let z be w(1). Calculate the remainder when 2/4 - (z/(-8) - -10) is divided by 10.
8
Let g = -202 - -204. Suppose g*d - 50 - 48 = 0. What is the remainder when 190 is divided by d?
43
Let j = -1680 + 1728. Calculate the remainder when 863 is divided by j.
47
Let w(a) = -2*a**2 - 71*a + 11. Let h(p) = 7*p + 234. What is the remainder when h(-10) is divided by w(-35)?
26
Suppose 0 = -3*w - 4*b - 854, 4*b - 6*b = -3*w - 824. What is the remainder when (1 + 3 - w)/((-6)/(-4)) is divided by 21?
20
Let f = -825 + 853. Suppose 9*r + f = 109. What is the remainder when r is divided by 8?
1
What is the remainder when (-1 + 208)*1728/144 is divided by 35?
34
Suppose -240*y + 16*y = -375424. What is the remainder when y is divided by 90?
56
Let i(b) be the second derivative of -59*b**5/4 - 3*b**3/2 - 5*b**2 + 8*b + 5. What is the remainder when i(-1) is divided by 11?
8
Suppose 864 = 43*i + 11*i. What is the remainder when -145*(-2 - (-24)/15) is divided by i?
10
Let c(o) = 3*o**2 - 14*o + 12. Let b(r) = -r**2 + r - 1. Let g(m) = -22*b(m) - 2*c(m). Calculate the remainder when g(2) is divided by 19.
17
Let g = 16 + -12. Suppose 0 = 12*i - 1130 - 46. Suppose 2*r = 15*b - 19*b + 80, 5*b - i = -3*r. Calculate the remainder when b is divided by g.
2
Let r = -25415 + 26765. What is the remainder when r is divided by 57?
39
Let k(h) = h**3 - 12*h**2 + 14*h - 38. Let d be k(8). Let p = d - -246. Calculate the remainder when p is divided by 18.
10
Let i be 1*15/(-6)*26. Let b be ((-2)/(-20))/((-3)/12)*i. Suppose -14 = -4*t + b. Calculate the remainder when 29 is divided by t.
9
Let p = -696 + 700. Suppose -p*k + 1598 = 30*k. Calculate the remainder when k is divided by 6*(0 - (-2)/1).
11
Let g be (30/9)/(52/78). Suppose w = -g*j + 6*j + 39, 2*j - 4 = 0. What is the remainder when 367 is divided by w?
39
Let w(x) = -213*x - 9378. Calculate the remainder when w(-47) is divided by 97.
51
Let x(q) = -q + 8. Let i be x(11). Suppose -3*g - l + 120 = 0, 0 = 4*g - l - 3*l - 176. What is the remainder when g is divided by ((-63)/i)/1 + 0?
20
Let v = -423 + 236. Let s = -178 - v. Let m(g) = 2*g - 5. Calculate the remainder when s is divided by m(4).
0
Let n(v) = v**2 + 4*v - 7. Let i be n(-5). Let g = i + 67. Let r = -321899 - -322089. Calculate the remainder when r is divided by g.
60
Calculate the remainder when 2280 is divided by (2/(-10))/((-13)/(-65))*832/(-13).
40
Calculate the remainder when (1 - -1)/((-3 - -6)/39) is divided by 22 - (-10 + (-2 - -9)).
1
Suppose -a = 4*a - 100. Calculate the remainder when ((-14)/4)/(80/(-1568)) - 6/(-15) is divided by a.
9
Suppose -19*n = -11*n + 320. Calculate the remainder when 25 is divided by (18/10)/((24/n)/(-3)).
7
Suppose 332 = 4*a - 2*y, 0*a + 5*y = 3*a - 263. Suppose -a = -163*s + 162*s. Suppose -2 = 4*t - 114. Calculate the remainder when s is divided by t.
25
Let z = -449 - -685. Suppose 4*m + 127 = 2*b - 1, 2*m = -4*b + z. What is the remainder when b is divided by 13?
8
Let r = -4536 - -4598. Calculate the remainder when 15807 is divided by r.
59
Let o = -20 + 25. Suppose -o*g + 98 + 157 = 0. Let w = g + -31. Calculate the remainder when w is divided by 8.
4
Let c(y) = 10*y**2 - 175*y + 86. Calculate the remainder when 162 is divided by c(17).
0
Let o = -3399 - -3405. Calculate the remainder when o is divided by 4.
2
Let q = -5605 - -6625. Calculate the remainder when q is divided by 78.
6
Suppose 22148 = -157*r + 206*r. What is the remainder when r is divided by 14*((-11)/(-2) - 3)?
32
Let c be -2 + 9/((-9)/(-8)). Suppose 9 = 2*t - 3. Calculate the remainder when 8/(5*c/75) is divided by t.
2
Let f = -187 - -166. What is the remainder when 35 is divided by f/(-2) + ((-15)/6 - -2)?
5
Let g(p) = 14*p**3 + 98*p**2 - 10*p + 18. What is the remainder when 93 is divided by g(-7)?
5
Suppose 2*x - 156 = -2*b, 0 = 5*x - 4*b + 6*b - 405. Let r = 107 + -77. Calculate the remainder when x is divided by r.
23
Let d(i) = i**3 + 3*i**2 - 7*i - 10. Let v be d(-4). Suppose 0 = -a - 3 - v. Calculate the remainder when a - -1 - (-1)/((-1)/(-18)) is divided by 4.
2
Suppose 0 = -3*a - 2*l + 545 + 101, l = 4*a - 865. Calculate the remainder when 2367 is divided by a.
207
Let l(f) = 2805*f - 21. Let s be l(-3). Let b be s/(-180) - -1*4/30. Suppose 2*x + 33 = b. Calculate the remainder when 27 is divided by x.
6
Suppose 34*h - 3*h = 3782. Suppose 2*g = 17 + 75. Calculate the remainder when h is divided by g.
30
Let k = -32 - -54. Let s(n) = n**2 - 8*n + 9. Let d be s(7). Suppose -y + 2 = -2*a, 0 = -5*y + d*a + 61 - 11. Calculate the remainder when k is divided by y.
10
Let y(g) = g**3 - 15*g**2 + 34*g + 49. Let x be y(15). Suppose -x = -17*j + 597. Calculate the remainder when 268 is divided by j.
64
Let u(w) = w**2 - 12*w + 21. Suppose 2*j = -4*f + 4, -3*j + 13 = -3*f - 38. Calculate the remainder when 79 is divided by u(j).
16
Suppose 5*a = -28*q + 29*q - 2006, -4*a - 2007 = -q. What is the remainder when q is divided by 19?
16
Let g = -3214 + 3354. Calculate the remainder when 6157 is divided by g.
137
Let n(p) = -p**3 - 9*p**2 + 10*p. Let w be n(-10). Suppose w = 2*u - 4*i - 132, 4*u + 37*i = 39*i + 258. Calculate the remainder when 72 is divided by u.
8
Suppose q - 17 = -15. Suppose 0 = q*a - 5*a + 288. Suppose 5*z = 3*z + 28. Calculate the remainder when a is divided by z.
12
Suppose 24*y = 662 + 1549 + 69. What is the remainder when 326 is divided by y?
41
Suppose 2*l - o - 18 = 0, 36*l - o = 32*l + 40. Suppose 6*v - v = 4*b + 277, -3*b - 199 = -2*v. Let s = b + 92. What is the remainder when s is divided by l?
7
Suppose 4*q + 364 = -4*s, -5*s = 5*q - q + 460. Let d = s - -67. Let m = d - -48. Calculate the remainder when 94 is divided by m.
18
Let n = 13282 + -12301. Calculate the remainder when n is divided by 326.
3
Let p(l) = -l**3 - 17*l**2 + 20*l + 38. Let s be p(-18). Let a = -4 + 22. Calculate the remainder when s/(5/((-2610)/(-12))) is divided by a.
15
What is the remainder when 350 is divided by ((-11)/(-1) - 1) + 862 + -760?
14
Suppose -4*v + 170 = -178. Let g = 87 - v. Suppose 7*i - 8*i + 57 = g. Calculate the remainder when i is divided by 20.
17
Let h = -33 + 38. Suppose -h*d - 4*a + 49 = -58, -2*a = -3*d + 51. Let i = d + -6. Calculate the remainder when 63 is divided by i.
11
Suppose 988*x = 1015*x - 20439. Calculate the remainder when x is divided by 20.
17
Let l = -73 + 179. Suppose -s - 1 = -2*i - 2, 3*s - 4*i + 1 = 0. Let d(q) = -9*q. Calculate the remainder when l is divided by d(s).
25
Let l(b) = b**2 + 15*b - 51. Let z be l(3). Calculate the remainder