uppose -p = -4*x + 1107, 9*x - 6*x - 5*p - w = 0. Calculate the remainder when x is divided by 70.
67
Let h be (1*4 - 18/9) + 118. Calculate the remainder when h + 12/2 + 3*-1 is divided by 21.
18
Let p(u) be the second derivative of 7*u**4/12 + u**3 - u**2/2 - 173*u - 2. What is the remainder when 30 is divided by p(1)?
6
Suppose -45 - 17 = 31*z. What is the remainder when 27 is divided by (33/12)/(z/(-8))?
5
Suppose -20 = -5*t + 2*x, -2*x + 9 + 1 = 0. Let y(b) = -6*b + 47. What is the remainder when 54 is divided by y(t)?
10
Suppose -4*x - 3*a = -3*x, -13 = -3*x + 4*a. Calculate the remainder when (1 + x/15)*800/6 is divided by 41.
37
Suppose 13 = 5*h - 2. Let i(t) = -t**3 + 3*t**2 - 4*t + 3. Let x be i(h). Calculate the remainder when 23*(x/(-6))/((-6)/(-4)) is divided by 13.
10
Let p = 5 - 3. Suppose -p*l + 0*l = -50. Let r(n) = 377*n**2 - 36568*n - 88. What is the remainder when l is divided by r(97)?
7
Let j(m) = 43*m**2 - 556*m - 15. What is the remainder when 11495 is divided by j(13)?
23
Suppose -4*b + 1677 = -a + 387, 4*b = 3*a + 1294. Suppose 0 = -2*z - 12*z + b. Calculate the remainder when 156 is divided by z.
18
Let p be 10/(-6)*(6 + 111)/(-3). Let v = 1 + p. What is the remainder when 461 is divided by v?
65
Let x = 279 - 164. Let b(w) = w + 5. Let j be b(-9). Calculate the remainder when x is divided by (j/10)/((-2)/150).
25
Let j = -81 + 29. Let a = 106 + j. Suppose -a*p = -59*p + 80. What is the remainder when 42 is divided by p?
10
Suppose u + 35 = 2*n, 2*n = -u + 19 + 10. Let v = 62 - 62. Suppose 4*w - 137 - 103 = v. Calculate the remainder when w is divided by n.
12
Suppose 1836 = 4*m - 4*b, -5*b - 451 = -m - 8*b. Calculate the remainder when 1374 is divided by m.
3
Let r(d) = -5*d - 22. Let l be r(-5). Suppose -l*c - 4*i = i - 78, 25 = c + 2*i. What is the remainder when 83 is divided by c?
21
Let r(a) = 48*a**2 + 1203*a + 35. Calculate the remainder when r(-26) is divided by 26.
9
Let c(h) be the first derivative of h**2 - 24*h - 25. Let i be c(12). Suppose i = -17*m + 7*m + 2280. What is the remainder when m is divided by 46?
44
Let y(g) = 2*g**2 + 5*g + 2. Let l = -67 + 72. Suppose -l*b + 10 = 0, -4*q = 4*b + 80 - 252. Calculate the remainder when q is divided by y(-4).
13
Let c(k) = k**3 - 2*k**2 - 101*k - 6. Calculate the remainder when 69 is divided by c(-9).
9
What is the remainder when ((-312)/14)/((-34)/476) is divided by 77?
4
Let h be 6/15 + 6/(-15). Let r(f) = -f**2 + 9. Let c(l) = l**3 + 5*l**2 - l + 22. Calculate the remainder when c(-4) is divided by r(h).
6
Let a(i) = i**2 - 31*i + 297. Calculate the remainder when a(14) is divided by (-8)/(-10)*50/4.
9
Let i = 3403 + -3395. Let f(c) = 4*c - 2*c - 30 + 4*c. What is the remainder when 58 is divided by f(i)?
4
Let g = 847 + -491. Let z = g - 110. Calculate the remainder when z is divided by 19.
18
Let n(o) = 11*o + 1. Let u be n(6). Let i = -1187 - -1131. Let f = i + u. Calculate the remainder when 37 is divided by f.
4
Let p(i) = 3*i - 49. Let f be p(18). Suppose 3*g = 15, 4*g - 230 = -10*o + f*o. Suppose 4*n - o = n. Calculate the remainder when 26 is divided by n.
12
Let j(v) = -5*v + 147. Let f be j(29). Calculate the remainder when (f + 1)/(33/1551) is divided by 55.
31
Let a = -181 + 189. Calculate the remainder when (-7)/((-140)/352)*20/a is divided by 16.
12
Suppose 220*r = 5*g + 218*r - 5072, 2*g + 2*r - 2040 = 0. What is the remainder when 2053 is divided by g?
21
Let v = 72 + -66. Suppose 37 = v*s + 805. Let h = -11 - s. What is the remainder when h is divided by 24?
21
Suppose -7*d + 45 + 4 = 0. Let g(c) = 2*c**2 - 15*c + 40. Calculate the remainder when 63 is divided by g(d).
30
What is the remainder when 4744 is divided by (-28)/(-42) - 38/(-6)?
5
Let p(u) = -2*u**3 - 40*u**2 - 67*u + 144. Calculate the remainder when 4751 is divided by p(-18).
53
Let w = -51 + 53. Suppose -a - 119 = 4*p + p, -w*a - p - 238 = 0. Let q = -71 - a. What is the remainder when q is divided by 7?
6
Suppose -q + 0*l - 5*l = 22, -3*q + 3*l + 24 = 0. Suppose 0 = -5*s - 25, -s + 14 = q*r - 2*s. What is the remainder when 7 is divided by r?
1
Calculate the remainder when 104 is divided by (-2 - -9) + (-43)/(387/(-810)).
7
Suppose -41*s + 5130 = -10573. What is the remainder when s is divided by 37?
13
Let b = 234 - 238. Let u(j) = -4*j**2 - 21*j - 13. What is the remainder when 139 is divided by u(b)?
6
Suppose -9*o = -7*o + 14*o. Suppose o = -2*k + 4 + 8. Let v = 60 - 41. Calculate the remainder when v is divided by k.
1
Suppose 0 = 3*z - 11 + 2. Suppose 0 = z*x - 2*x + 18. Let h = x - -56. What is the remainder when h is divided by 8?
6
Let j(m) = m**2 + 10*m + 9. Let t be j(-4). Let q(b) = -b**3 + 20*b**2 + 25*b + 3. Calculate the remainder when q(21) is divided by (-1 - 0/(-2))*t.
12
Calculate the remainder when (-12886)/(-1) + 9 + -3 + 6 is divided by 75.
73
Let d = 80 - 81. Let t(h) = h**3 - 2*h + 1. Let x be t(1). What is the remainder when x - d - 1/(-1)*91 is divided by 47?
45
Let k be (3/2)/((-2)/216). Suppose -31*y = -30*y + 279. Let i = k - y. Calculate the remainder when i is divided by 12.
9
Suppose 0 = 5*p + 2*v - 6, 2*v - 8 = -5*p + v. Let h(w) = 4*w - 4. Let z be h(p). What is the remainder when 93 + 16/z + 0 is divided by 25?
22
Let f(w) = 2*w**2 - 1. Let v be f(2). Let u(j) = -43*j**2 + j - 19 - 3*j + 44*j**2. Calculate the remainder when u(v) is divided by 9.
7
Let b = 89 + -55. Calculate the remainder when 93496/572 + (60/11)/10 is divided by b.
28
Suppose -4*w + 4 = -0*m - 2*m, 0 = 5*m + 3*w + 10. Calculate the remainder when 15 is divided by (90/40)/(87/(-48) - m).
3
Suppose 3*s + v = 870, -4*s + 344 = v - 817. What is the remainder when s is divided by 81?
48
Let r(b) = b**3 - 9*b**2 + 9*b - 8. Let m be r(8). Suppose -2*n - 3*n + 120 = m. Let t = n + 7. What is the remainder when t is divided by 11?
9
Suppose -4*a - 4*r = -7800, 0 = -3*a - 81*r + 83*r + 5855. What is the remainder when a is divided by 32?
31
Suppose 0 = 7*m + m. Let z(n) = -8*n - 2*n**2 + 3*n**2 + 6 + m + 7*n. Calculate the remainder when 141 is divided by z(-5).
33
Let j = -846 + 1006. Calculate the remainder when j is divided by 45/(-6)*54/(-15).
25
Let y(j) = 3*j**2 + 70*j + 27. Let f be y(-22). Let t = f - -120. Calculate the remainder when 352 is divided by t.
57
Let t be (((-2)/(-1))/2)/((-54)/(-162)). Let y(w) = 29*w**2 - 4*w + 4. What is the remainder when y(t) is divided by 15?
13
Suppose 2*l - 4*l + 46 = 0. Suppose -345*p + 739 + 296 = 0. What is the remainder when l is divided by p?
2
Let j = -4571 + 5266. Calculate the remainder when j is divided by 342.
11
Let i(t) = -47*t - 817. Calculate the remainder when i(-46) is divided by 269.
0
Let m(o) = -o**2 - 42*o - 318. Let l be m(-11). Suppose 0 = 4*y + 2*d - 78, l = -2*y - 4*d + 71. What is the remainder when 32 is divided by y?
14
Let g(l) = 12*l - 80. Suppose 16*b + 132 = 27*b. What is the remainder when g(b) is divided by 3?
1
Suppose 1302*i - 1317*i + 8430 = 0. What is the remainder when i is divided by 47?
45
Suppose 2977 - 507 = 19*t. Suppose q - 3*d = 241, 5*d = -2*q - 194 + 621. Let l = q - t. What is the remainder when l is divided by 9?
6
Suppose 21*r - 1860 = r. Suppose 15 + r = 6*q. Calculate the remainder when 65 is divided by q.
11
Let q = 624 + 157. What is the remainder when q is divided by 60?
1
Let g = 398 + -116. Let q = 516 - g. What is the remainder when q is divided by 59?
57
What is the remainder when 361 is divided by 10/(-6) - (3 + (-604)/6)?
73
Let a be ((-2)/(-14))/(28/392). Suppose -2*b - 99 = -a*c - 379, 0 = b + 3*c - 140. What is the remainder when b is divided by 39?
23
Suppose 0 = -29*s + 40*s - 132. Suppose 0 = -21*a + 16*a + 20. Suppose 3*t - 113 = -a*b, 4*t + 4*b = -0*b + 148. Calculate the remainder when t is divided by s.
11
Let f = 284 + -146. Let z = 171 - f. Suppose 5*l + 2 = -13, 0 = -5*h + l + 653. Calculate the remainder when h is divided by z.
31
Suppose -4*v = -2*f + 6*f - 676, -f + 497 = 3*v. Let o = 208383 + -208349. Calculate the remainder when v is divided by o.
28
Let f(m) = -m**3 + 108*m**2 + 432*m - 2. Calculate the remainder when 197 is divided by f(-4).
11
Suppose -4 - 12 = -4*f. Suppose 5*z + 5*k - 240 = 0, f*z + k - 174 = 3*k. Calculate the remainder when 312 i