 229. Calculate the remainder when a(50) is divided by 6.
3
Let s = -2552 - -2569. Suppose -4*v - 5*j + j + 112 = 0, -59 = -2*v + j. Calculate the remainder when v is divided by s.
12
Let a be (-822)/(1 - 7)*7. Suppose 5*q + 2*q = a. Calculate the remainder when q is divided by 28.
25
What is the remainder when 473 is divided by 58 + 4 + -8 - -13?
4
Suppose 5*r + 3*j = -12, 4*r - 2*j = -0*j - 14. Let f be ((-23)/(-2))/(r/(-6)). What is the remainder when (391/f)/(1 + 0) is divided by 11?
6
Suppose 8594*q + 5717 = 8619*q - 16008. Calculate the remainder when q is divided by 88.
77
Suppose 0 = -7*l - 0*l + 210. Suppose -2*d = k - 40, -l = -k - 3*d + 11. What is the remainder when 189 is divided by k?
37
Let x = 112 - 50. Suppose -r = -15 + 8, 4*y - r = 229. Calculate the remainder when x is divided by y.
3
Calculate the remainder when 719 is divided by 47/5 + -1 + (-13)/((-1690)/78).
8
Suppose -11*j + 56 = -9*j. Suppose -n - 3*f + j = 0, -106 = -4*n - 3*f - 39. Calculate the remainder when 36 is divided by n.
10
Suppose 0 = -84*t + 80*t - p + 5614, 4*t - 5*p - 5626 = 0. What is the remainder when t is divided by 38?
36
Let c be (-14 - -12)*(19 + -1). Let j = c - -56. Let m = 51 - j. Calculate the remainder when 92 is divided by m.
30
Calculate the remainder when 19188 is divided by (-1150)/(-12) - (-620)/(-744).
93
Suppose -17*y = -10171 - 11725. Suppose -y = -13*j + 9*j. What is the remainder when j is divided by 9?
7
Suppose -3*y - 5*s + 45 = -786, -y = -s - 277. Let g = -226 + y. Suppose 0 = b - 0*b - 13. What is the remainder when g is divided by b?
12
Suppose 68 = 4*x - 28. Suppose 13119 = -178*d + 21476 + 25285. Calculate the remainder when d is divided by x.
21
Suppose -9*n + 7812 = 5*f, -1710 = 59*n - 61*n - 4*f. Calculate the remainder when n is divided by 209.
37
Let v(u) = -u**3 - 17*u**2 + 11*u + 52. Let x be v(-17). Let a = -57 - x. What is the remainder when 295 is divided by a?
61
Suppose 0 = -5*z - 15, -110*v = -114*v - 2*z + 414. Suppose 4*r - 122 = -5*g, 4*g - 94 = -2*r + 6. What is the remainder when v is divided by g?
1
What is the remainder when 3 + ((-2)/10)/(48/(-89520)) is divided by 14?
12
Let l(y) = -37*y - 200. Let x(a) = -150*a - 796. Let s(w) = -9*l(w) + 2*x(w). What is the remainder when s(0) is divided by -1 - (0 + 2 - 45)?
40
Let h(o) = 91*o + 1321. What is the remainder when 557 is divided by h(-14)?
40
Suppose x = 2*x + 3, -1521 = -2*t + 5*x. Calculate the remainder when t is divided by 58.
57
Let f = 63 - 58. What is the remainder when 53 is divided by (-22)/f + 4 + 186/15?
5
Suppose c + l - 68 = 0, 0 = 5*c - 3*l - 103 - 205. Let u(x) = 26*x**2 - 11*x + 10. What is the remainder when c is divided by u(1)?
14
Suppose 13*q - 220 = -51. Suppose 10*t - q*t - 3*s + 33 = 0, -3*s - 37 = -4*t. What is the remainder when 78 is divided by t?
8
Let z = -37003 - -37329. Calculate the remainder when 3905 is divided by z.
319
Let v = -4377 - -4749. Calculate the remainder when v is divided by 72.
12
Let g be (-4)/((-7)/(105/10)). Suppose g*k + 101 - 335 = 0. Calculate the remainder when 220 is divided by k.
25
Let b be (12/9)/((-8)/60). What is the remainder when (-814)/b - (-216)/360 is divided by 18?
10
Let i = 53 - 27. Let p = 3106 - 3099. What is the remainder when i is divided by p?
5
Let i(f) = -2*f**3 - 13*f**2 - 8. Calculate the remainder when i(-7) is divided by (3 - 2)*2*55/22.
1
Suppose f + 2*x = -2*f + 142, -182 = -4*f + x. Let n = -55 - -86. What is the remainder when n is divided by f/2 + -6 + 2?
12
Let l = 387 - 263. Suppose 9*j - 764 = 136. Suppose -2*b - j = -6*b. Calculate the remainder when l is divided by b.
24
Suppose -6 = -8*j + 26. Suppose -g + 5*w = 2 - 16, j*g + 2*w - 34 = 0. Let y(i) = -i**3 + 9*i**2 + 7*i - 16. What is the remainder when y(g) is divided by 7?
5
Let n = 49 + -44. Suppose n*x - 128 = x. Suppose -x*q + 30*q = -54. What is the remainder when q is divided by 7?
6
Suppose 0 = -j - 2*a + 103 + 50, 2*j = 2*a + 336. Let k = 194 - j. Calculate the remainder when 152 is divided by k.
28
Let y(x) = -5*x + 90. Suppose -5 = -r - 5*p - 1, 0 = 5*r - 3*p - 48. Calculate the remainder when y(r) is divided by 23.
22
Suppose 4*a + 4*k - 764 = 0, 4*k + 899 = 4*a + 119. Let r = -67 + 131. Calculate the remainder when a is divided by r.
1
Suppose 0 = -3*v - 2*v + 425. Let j = 19587 + -19574. What is the remainder when v is divided by j?
7
Let m(a) = 201*a**2 + 33*a - 34. Calculate the remainder when 2798 is divided by m(1).
198
Suppose 475 + 3299 = 102*x. Calculate the remainder when 871 is divided by x.
20
Suppose 3*j + 2*l + 3*l - 2619 = 0, 0 = 4*j - 3*l - 3434. Calculate the remainder when j is divided by 147.
128
Suppose -4*d + 5*d = -4*d. Suppose d = -4*q - 3*x + 17, 10 = 6*q - 5*q - 5*x. Suppose q*p - 906 + 166 = 0. Calculate the remainder when p is divided by 25.
23
Let o be (-132)/(-12) + 0*2/(-6). Suppose -16*p = -o*p + 5*n - 350, 4*p = -5*n + 278. Calculate the remainder when p is divided by 15.
12
Let o(h) = h**3 - 22*h**2 - 46*h - 31. Let r be o(24). Let p(t) = t**3 - 16*t**2 - 14*t - 25. Calculate the remainder when p(r) is divided by 15.
11
Suppose -75 = -4*r - 31. Let j(w) = -4*w**2 + 46*w - 14. What is the remainder when 110 is divided by j(r)?
6
Let a(g) = 501*g**2 + 7*g - 7. Calculate the remainder when a(-3) is divided by 249.
248
Let a = 2750 - 2593. Calculate the remainder when 464 is divided by a.
150
Suppose -5*p - 3*q = 21, p - 5*q = 5 + 2. Let u be (4 + 4 + -7)/(p/27). Let z = 48 + u. What is the remainder when 75 is divided by z?
36
What is the remainder when 215 is divided by (-9)/3*((-88)/36 - -2)*24?
23
Let y(h) = -2*h**3 + 1. Let o be y(2). Let a = 41 + o. Suppose -w - 345*r + 341*r + 21 = 0, -3*w + 48 = -3*r. Calculate the remainder when a is divided by w.
9
Let h(v) = 5*v**3 - 4*v**2 - v + 100. What is the remainder when h(8) is divided by 60?
56
Let n(u) = -28*u - 1. Let o(x) = 3*x. Let k(m) = 3*n(m) + 3*o(m). What is the remainder when k(-2) is divided by 37?
36
Let l(d) = -d**3 - 10*d**2 - d + 9. Let o be l(-10). Suppose o*c - 14*c - 45 = 0. Suppose r - 36 = 7. What is the remainder when r is divided by c?
7
Let z(t) = 10*t**2 - 117*t + 610. What is the remainder when z(7) is divided by 91?
8
Let x(f) = 8*f - 10. Suppose -17*g - 503 = -2611. Calculate the remainder when g is divided by x(4).
14
Let v(d) = 2*d**2 + 10*d + 2. Let z = 6275 + -6250. What is the remainder when z is divided by v(-6)?
11
Let l(s) = 4*s**3 - 4*s**2 - 2*s + 3. Let k be 2 + (-10)/2 - (-7 - -1). Let a be l(k). Let y = -30 + a. Calculate the remainder when y is divided by 21.
18
Suppose -40 = -18*a + 14*a. Suppose -3*c = 4*s - 2*s - 44, 3*c - 76 = -4*s. Calculate the remainder when -2 + (4/a)/((-5)/(-375)) is divided by s.
12
What is the remainder when ((8/6)/(-1))/((-195)/29835) is divided by 30?
24
Let z(n) = 147*n + 4. Let u be z(6). Suppose b + 4 = 2*b, -5*w + u = 4*b. Calculate the remainder when w is divided by 127/3*1 + 25 + (-1050)/45.
42
Let r = -37 - -54. Suppose r = -s + 75. Calculate the remainder when 288 is divided by s.
56
Suppose 4*z = -x + 353, 6*x - 92 = -z + 5*x. Calculate the remainder when 434 is divided by z.
86
Suppose -262 + 950 = 16*h. What is the remainder when 411 is divided by h?
24
Let q be (-4893)/(-56) + (-9)/24. What is the remainder when q/58 + (-5)/(-2) is divided by 1?
0
Let u(g) = -59*g - 13. Let z(l) = 2*l - 1. Let f be z(0). Calculate the remainder when u(f) is divided by 29.
17
Let v(f) = -f**3 + 16*f**2 - 2*f + 40. Calculate the remainder when 78 is divided by v(16).
6
Suppose -2*v - 15 + 51 = -w, -2*w + 8 = 0. Calculate the remainder when 378 is divided by v.
18
Calculate the remainder when 317 is divided by (78/12 + -6)/(665/332 - 2).
151
Let z = 6540 + -5797. Calculate the remainder when z is divided by 147.
8
Suppose -8*w = -4*w. Suppose -5*j - 18 - 42 = w. Let f = 18 + j. Calculate the remainder when f is divided by 2.
0
Let t(o) = -5*o - 108. Let z(f) = 2*f + 2. Let i(a) = t(a) + 6*z(a). Calculate the remainder when i(17) is divided by 8.
7
Suppose 2*x - 38*v = -43*v + 340, 4*x = 3*v + 654. Let l = 429 - x. Calculate the remainder when l is divided by 55.
44
Suppose -7*b + 9940 = 7*b. What is the remainder when b/((6 - 0) + -4) is divided by 89?
88