when l is divided by (280/24)/((-9)/(-216)*8).
32
Suppose -3*q - 36 = -5*g - 7*q, 0 = -5*g - 5*q + 40. Suppose 7*i - 133 = -14. Calculate the remainder when i is divided by g.
1
Let c be -10*(2 + 58)/(-3). Suppose -195*q + c*q = 185. What is the remainder when 182 is divided by q?
34
Suppose 8365 = 14*x + 21*x. Let w = -232 + x. What is the remainder when 20 is divided by w?
6
Suppose -3*d = -121 - 35. Suppose -d = -4*k + 2*k. Calculate the remainder when k is divided by ((112/100)/((-3)/(-15)))/((-32)/(-80)).
12
Let n(x) = 43*x - 3799. What is the remainder when n(100) is divided by 19?
7
Suppose -14*o + 905 + 285 = 0. Let p = -43 + o. Calculate the remainder when 76 is divided by p.
34
Suppose 3*r - 4*z = 6*r - 95, -5*r + 151 = 3*z. Let u(d) = -10 - 6*d**2 + 8 + 2*d - 2*d**2 + 3 + d**3. Calculate the remainder when r is divided by u(8).
12
Let a be 2/(-4 + 114/27). Let f(m) = -4*m**2 + 43*m - 11. Let k(b) = -b**3 - 7*b**2 - 9*b - 4. What is the remainder when f(a) is divided by k(-6)?
10
Suppose 0 = -86*z + 16*z + 69790. What is the remainder when z is divided by 100?
97
Let o = -2711 + 4420. Calculate the remainder when o is divided by 38.
37
Let c be 2/(4 - 6) - (-31)/(-1). Let r = 43 + c. What is the remainder when (-2)/(-4)*138/3 is divided by r?
1
Suppose i - 966 = -5*o + 490, 3*o - 4332 = -3*i. What is the remainder when i is divided by 111?
109
Let t(x) = x**2 + 32*x + 250. Let p(h) = h**2 + 6*h + 4. What is the remainder when t(-11) is divided by p(-6)?
3
Let t be (-13096)/64 + (-15)/40. Calculate the remainder when 122 is divided by (-261)/(-4) - (-10 + t/(-20)).
57
Let m be (38/6 + -1)/(73/657). What is the remainder when (m/60)/(2/10) is divided by 4?
0
Calculate the remainder when 112 is divided by (575/75 + -8)/(1/(-9)) + 107.
2
Suppose 0 = 2*g, 2*j = -g + 691 - 159. What is the remainder when j is divided by 28?
14
Suppose 4*d - 5*c = 2*d + 7, 3*d + 47 = -4*c. Let x be (d/2 + 1)*414/(-483). Let f(v) = v**2 - 4*v + 13. Calculate the remainder when 139 is divided by f(x).
9
Suppose -4*o = -4*w - 0 + 4, 2*o + 2*w + 14 = 0. What is the remainder when 68 is divided by (-8)/(-16)*(o - -42)?
11
Suppose 4*f + 3*j - 6 = 2, 0 = 3*f - 5*j - 6. Suppose 0*l - 3*l + 44 = -2*v, 2 = -f*v. What is the remainder when (-4)/l + (-970)/(-14) is divided by 19?
12
Let i(k) = -k**3 - 3*k**2 - 2*k + 14. Let c be ((-2)/(-6))/((-18)/108). Let q = c - 3. What is the remainder when i(q) is divided by 15?
14
Let m(a) = 13*a - 13. Let k be m(5). Let c = -43 + k. Suppose -2*n + c = 3*o - 26, -3*n = -2*o + 6. Calculate the remainder when 34 is divided by o.
7
Calculate the remainder when 573 is divided by (-1)/(9/51 - 4/22).
12
Calculate the remainder when 3744 is divided by (5*133/57)/(3/9).
34
Let g(s) be the third derivative of s**6/40 - s**5/15 + 7*s**4/24 - 5*s**3/6 + 46*s**2. What is the remainder when 50 is divided by g(2)?
16
Let p = -670 + 1818. What is the remainder when p is divided by 128?
124
Suppose 1246 = 25*g - 14 - 115. Calculate the remainder when 671 is divided by g.
11
Suppose -8612 - 3961 = -14*d + 6523. Calculate the remainder when d is divided by 21.
20
Let o be 0 + -114 + 10/16 + 42/112. Let b(x) = -28*x**2 + 2*x - 1. Let n be b(2). Let h = n - o. What is the remainder when 26 is divided by h?
2
Let c = 70 - 65. Suppose c*s + 4*q - 495 = 3*q, -s + 99 = -5*q. What is the remainder when s is divided by 24 + 2/(-1) + 3?
24
Suppose -r = -3*r + 12. Let a = 24207 - 24162. What is the remainder when a is divided by r?
3
Suppose 4*k - 272 = -2*c + 46, k = -2*c + 303. Let b = -53 + c. Calculate the remainder when b is divided by 29.
9
Let r(v) = -v**3 - 21*v**2 + 46*v - 7. Let l be r(-23). What is the remainder when -5 - -4 - (0 - 66) is divided by (4/(-14) + (-121)/l)*2?
31
Suppose -4*y + 32 = -3*y. Suppose y = 2*c + 3*v, -34 = 2*c - 7*c + 4*v. What is the remainder when (-81)/(-2) - (-165)/(-110) is divided by c?
9
Suppose -2*i - 51 = -145. Suppose -4*l - 2*v = -38, 0*l - 2*l - 4*v + 22 = 0. Suppose l*w - 208 = -4*w. Calculate the remainder when i is divided by w.
15
Let z(v) = -7*v**2 - 2*v + 1. Let s be z(1). Let k = 36 + -25. Calculate the remainder when 54 + (s - -2) - 5 is divided by k.
10
Suppose -287*w + 3173560 - 362969 = 0. What is the remainder when w is divided by 1398?
7
Let b(d) = 116*d**2 - 1741*d + 1742. Calculate the remainder when 435 is divided by b(1).
84
Let i(m) = 72*m**2 + 9*m + 23. Let w(g) = -36*g**2 - 4*g - 12. Let d(r) = 4*i(r) + 7*w(r). Calculate the remainder when 248 is divided by d(-1).
32
Suppose -28*f + 4113 = -1235. Let i = f - 116. Calculate the remainder when i is divided by 29.
17
Suppose 87*p - 43*p = 6204. What is the remainder when p is divided by 18?
15
Suppose 25668 = 199*q - 3585. What is the remainder when 1318 is divided by q?
142
Let x be (-70)/(-8) + 1/4. Let j(l) = l + 119. Let v be j(-5). Suppose 0 = x*y - 12*y + v. What is the remainder when y is divided by 8?
6
Let n = -388 + 388. Suppose n = -3*j - 12, -d + 4*j = -5*d + 260. What is the remainder when 342 is divided by d?
66
Calculate the remainder when 4678 is divided by 40/((-64)/(-8)) - -8.
11
Suppose 6*m - 35 = 25. Suppose 4*n - 2*s + 0*s - 66 = 0, -5*s - 75 = -4*n. Calculate the remainder when 12/n*105/6 is divided by m.
4
Let g = 764 - 529. Let r = -172 + g. Calculate the remainder when r is divided by 11.
8
Let r = 224 + -148. Calculate the remainder when (-138)/(-4)*r/114 is divided by 14.
9
Let u(l) = 60*l - 61. Let y be u(7). Let g = y - 356. Suppose -11 + 3 = -x. Calculate the remainder when x is divided by g.
2
Suppose 3 - 3 = -5*d. Let y = 39 - 36. Suppose -5 = -j, -y*a + d*a - 3*j = -102. What is the remainder when 112 is divided by a?
25
Calculate the remainder when (680/(-160))/(4/(-1456)) is divided by 50.
47
Suppose -3*t = 2*j + 12, -4*j - 9 = -3*t + j. Let h = 51 + t. Calculate the remainder when 240 is divided by h.
44
Suppose 4*f + 20 = 9*f, -3*f + 12 = w. Suppose -145 = -2*p - 0*t - t, 2*p + 5*t - 149 = w. Calculate the remainder when p is divided by 26.
20
Suppose 4*j - 2*u - 535 = -3*u, 3*j = -3*u + 399. What is the remainder when 529 is divided by j?
127
Let w = -201 + 205. Suppose 4*b - 3 = 3*b, -w*b - 40 = -2*p. Calculate the remainder when p is divided by 15.
11
Suppose -12*t = -11*t. Suppose j - 1 - 3 = t. Suppose l - 129 = -j*h + h, 0 = -5*l + 4*h + 550. What is the remainder when l is divided by 29?
27
Suppose 0 = 2*b - 5*h - 321, 14*h - 161 = -b + 17*h. Calculate the remainder when 573 is divided by b.
99
Suppose -10*q = -10012 + 2202. What is the remainder when q is divided by 207?
160
Let m(u) = u**2 - u - 66. Let k(w) = w + 22. Let t be k(-12). What is the remainder when 69 is divided by m(t)?
21
Let f be (2/(-4))/(3 + 1981/(-658)). Let x = f - 37. What is the remainder when 100 is divided by x*(0 + 2/(-5)) + 38?
32
Let t = 809 - 523. Suppose -2*v - 9*v = -t. Suppose 0 = 2*c - 4*a - 10, -2*c - 3*a - a + v = 0. What is the remainder when 25 is divided by c?
7
Let y(u) = -631*u + 6321. What is the remainder when 4153 is divided by y(10)?
6
Let g = 6 + -18. Let o(n) = n**3 + 13*n**2 + 10*n + 14. What is the remainder when o(g) is divided by 16?
6
Suppose -i = -3*m - 49, 3*i - 5 - 142 = -3*m. Let t = -44 + i. Suppose 79 = -t*b + 274. Calculate the remainder when b is divided by 22.
17
Let y = 25 - 22. Suppose -y*a - 3 = 4*s, 2*s - 7*s - 18 = -a. Let h = 13 - a. Calculate the remainder when 98 is divided by h.
8
Suppose 2*m - 4399 = 6521. Suppose -27*p + m = 8*p. What is the remainder when p is divided by 48?
12
Let m(q) = 2*q**3 + 3*q**2 - 3*q - 3. Let p be m(2). Suppose a - 28 = 14*y - 16*y, 2*a = y - p. What is the remainder when 444 is divided by y?
9
Let m(c) = 2449*c**2 + 94*c + 92. What is the remainder when m(-1) is divided by 18?
17
Let t(p) = -16*p**3 - 3*p**2 + 4*p + 29. What is the remainder when t(-2) is divided by 11?
5
Let f(o) = -o**2 - o + 6. Let s be f(-3). Suppose z - 3*a - 83 = s, 0*z - 4*a - 224 = -3*z. What is the remainder when 265 is divided by z?
61
Let p(s) = 3855 - 2*s - 3846 + s**2 + 5*s. Let m be (4/5)/((-1)/5). What is the remainder when 34 is divided by p(m)?
8
Let y(w) = 2*w**3 - 3*w**2 - 4*w - 3. Suppose 0 = -364*f + 731 + 941 + 16528. What is the remainder when y(6) is divide