 remainder when 334 is divided by ((0 + -1)/((-147)/(-49)))/(4/(-1992)).
2
Suppose 4 = -2*u - v - 4*v, 0 = -u - 2*v. Suppose -2*j + 75 = 3*j. Let n = u + j. What is the remainder when n is divided by 5?
3
Let n(a) = 8*a**2 - 67*a + 1761. What is the remainder when n(32) is divided by 12?
9
Let v(k) = -90*k**3 + 4*k**2 + 19*k + 16. Calculate the remainder when v(-1) is divided by 45.
1
Calculate the remainder when 1731 is divided by (-3)/(12/(-67)) - (-28)/112.
14
Let h be (60/18 - 2)/(2/1986). Suppose 20*g - 14184 = -h. Calculate the remainder when g is divided by 34.
31
Suppose 34*t + 66 = 12*t. Let q = 40 + -17. What is the remainder when ((-6)/(-4)*3 + t)*44 is divided by q?
20
Let r be (-2 - -1)/((-4)/(-4)). Suppose -19*q + 47*q = 196. What is the remainder when q is divided by r + (-3)/6*-8?
1
What is the remainder when 1163 is divided by (-21 + -117)/(3/(-2)) + 10/(-5)?
83
Suppose 2*c - 359 = -3*f, c + 0*c - 5*f - 160 = 0. Suppose -56*w - 4*o + 8 = -53*w, 58 = 3*w - o. Calculate the remainder when c is divided by w.
15
Calculate the remainder when 802 is divided by ((-2)/7)/(2/(-232 + 8)) - -5.
25
Let p be (-1 + 61)*(-4 - (-48)/10). Suppose 3*r - p = -5*x, 5*x + 2*r = -0*x + 52. What is the remainder when 92 is divided by x?
8
Let q = -6081 + 6087. Calculate the remainder when 4*(-1)/2 + 37 is divided by q.
5
Let w(o) = -7*o - 7. Suppose -k + 2*v + 65 = -87, -4*k - v + 671 = 0. Calculate the remainder when k is divided by w(-5).
26
Suppose 0*r + 3*r - 3*s + 15 = 0, -5*r - 2*s = -10. Suppose -4*p - 5*k + 7 = -17, r = -5*k. Calculate the remainder when 95 is divided by p.
5
Suppose -1902 = -5*t - x, -47 + 53 = 3*x. Suppose -15064 = -52*b + t. Calculate the remainder when b is divided by 15.
12
Let y = -395 + 684. Let h be 6/(-14) + (-1966)/(-14). Let r = y - h. Calculate the remainder when r is divided by 50.
49
Let l(q) = q**3 + 8*q**2 - 10*q - 3. Let v be l(-9). Let c(b) = -6*b - 4. Let a be c(v). Calculate the remainder when 29 is divided by a/(-140) + (-103)/(-7).
14
Let m(o) = -o**2 - 12*o. Let i be m(-8). Suppose i = -116*a + 120*a. Calculate the remainder when (-56)/(-2) + 0/(-1) is divided by a.
4
Suppose 19*a = -4*z + 24*a + 440, -2*a + 307 = 3*z. Calculate the remainder when 58 is divided by (0 - z/(-6)) + (-36)/(-24).
1
Let t be 2*(4 - (-36)/(-8)). Calculate the remainder when -18*(t - (4 - 4)) is divided by 3.
0
Let q(t) = 2*t**3 + 3*t + 2. Let s be q(-1). What is the remainder when 354 is divided by (1/s)/(69/(-3726))?
12
Let z(k) = -25 - 4 + 13*k - 12*k. Let g be z(25). Calculate the remainder when 824/68 - g - 2/17 is divided by 5.
1
Let m(h) = -2*h**3 + 16*h**2 - 65*h - 40. What is the remainder when m(-21) is divided by 11?
8
Let u = 2005 + 1034. What is the remainder when u is divided by 160?
159
Let i = -6278 + 6379. What is the remainder when 400 is divided by i?
97
Let l be ((-37295)/10)/(-2 - 3/(-2)). Suppose 0 = -36*c - 223 + l. What is the remainder when c is divided by 34?
31
Let x = 6 - 4. Suppose -5*v - 1190 = -5*i, 3*i + 853 = -4*v - 64. Let s = v - -239. What is the remainder when s is divided by x?
0
Let m(u) = -64*u + 531. Calculate the remainder when m(-19) is divided by 25.
22
Let h = -5703 - -5754. Calculate the remainder when h is divided by 16.
3
What is the remainder when 435 is divided by (147 - 7) + (-14 - -8)?
33
Suppose -2*d - 4 + 22 = 0. Suppose 0 = 4*s - 3*o - 28, -3*s - s - 4*o = -28. Let x = 41 - s. Calculate the remainder when x is divided by d.
7
Let j = 57 + -56. Calculate the remainder when 59 + j*(-4 + -1) is divided by 7.
5
Let f = -283 + 279. Let m(a) = -31*a - 59. Calculate the remainder when 323 is divided by m(f).
63
Let t = -98 + 88. What is the remainder when (-72)/24*t/3 is divided by 16/6 + (-1)/(-3)?
1
Suppose -6*v + 7*v = 50. Calculate the remainder when 2305/(-2)*(-40)/v is divided by 14.
12
What is the remainder when 388 is divided by -2*(-8 + 29)/3*-1?
10
Let v = 67 + -65. Suppose -3*k = -4 - v. Suppose 5*i - f = 801, -k*f - f = 5*i - 817. What is the remainder when i is divided by 41?
38
Suppose -3*o - 3*i = -1470, 65*i = -4*o + 60*i + 1965. What is the remainder when o is divided by 4?
1
Let s = 7766 - 7340. Calculate the remainder when s is divided by 420.
6
What is the remainder when 255 is divided by 7/(-2) - ((-837)/(-93) + (-49)/2)?
3
Let t(a) = 11*a + 155. What is the remainder when 1301 is divided by t(3)?
173
What is the remainder when 2806 is divided by (14/2 - (10 - 4 - 5)) + 12?
16
Suppose -22*u + 3*b + 280 = -18*u, 3*u - 3*b = 207. Calculate the remainder when 5033 is divided by u.
69
What is the remainder when 60 is divided by 4/(-8)*(7 + 3 + 4) - -23?
12
Let i(x) = x + 14. Let v be i(-9). Suppose -5*m - 20 = 0, m = -5*s - 3*m - 46. What is the remainder when 53 + s/(-15)*v is divided by 30?
25
Let m = 644 + -589. Suppose -6*b = 13 - m. Calculate the remainder when 51 is divided by b.
2
Suppose 9354*p - 6156 = 9327*p. Calculate the remainder when 1373 is divided by p.
5
Suppose 21 = -3*f, 28*l - 997 = 25*l + f. What is the remainder when l is divided by 76?
26
Let k(h) = h - 47. Let b(o) = -o - 1. Suppose -4*s + 0*r - 4*r = 8, -3*s = 2*r + 6. Let g(l) = s*b(l) + k(l). What is the remainder when 34 is divided by g(18)?
7
Let n = 5104 - 4900. What is the remainder when n is divided by 64?
12
Let p(b) = -117*b - 83. Calculate the remainder when 377 is divided by p(-1).
3
Let v(h) = -2*h**3 + 14*h**2 + h + 15. Let m be v(7). Let o(w) = 2*w**3 - 43*w**2 - 16*w - 52. Calculate the remainder when 238 is divided by o(m).
78
Suppose 24*b - 22*b - 26 = -3*m, -2*b + 10 = m. What is the remainder when 1/(-2)*(-40 - m) is divided by 5?
4
Suppose 2*f - 44 = -2*j, -11*j - 4*f + 34 = -10*j. Suppose 0 = -4*p + 120 + 4. Let q = 63 - p. What is the remainder when q is divided by j?
14
Let f = -328 - -375. What is the remainder when 159 is divided by f?
18
Suppose -4*r + 5*d + 178 = 0, 3*d = r - 2*r + 19. Calculate the remainder when 3601 is divided by r.
12
Suppose 5*x + g + 44 = 6*x, 2*x - 3*g = 86. Let t(j) = -2*j**3 - 396*j**2 + 4161*j + 216. Calculate the remainder when x is divided by t(-208).
6
Let z(h) = h**3 + 5*h**2 + 2*h + 3. Let c be z(-5). Let a(o) = -o**3 - 7*o**2 - 2*o + 2. What is the remainder when a(c) is divided by 14*(-6 - (-65)/10)?
2
Let g be (3/15)/1 + 164/5. Calculate the remainder when ((-15)/2)/(g/(-198)) - 2 is divided by 30.
13
Let i(t) = -265*t - 2968. Calculate the remainder when i(-14) is divided by 50.
42
Let g = -3 + -3. Let w = g + 11. Calculate the remainder when (35 - 7)*3/6 is divided by w.
4
Let z(g) = -g**3 - 16 - 4*g + 0*g**3 - 6*g**2 + 2*g**3. Suppose 23*r + 8*r - 287 = -10*r. What is the remainder when 9 is divided by z(r)?
4
Let n = -36646 + 37098. What is the remainder when n is divided by 111?
8
Let d(r) = 2*r**3 + 25*r**2 - 53*r - 143. Calculate the remainder when 241 is divided by d(-14).
10
Suppose 7 = w, 86*y - 2040 = 84*y - 2*w. Calculate the remainder when 2057 is divided by y.
31
Suppose -g + 980 = p, -9*g = -18*g - 2*p + 8806. What is the remainder when g is divided by 164?
158
Suppose 19*n - 21*n = -c + 281, -c = 2*n - 277. What is the remainder when 880 is divided by c?
43
Suppose -3*g = b + 12, -b + 0*b = -g. Let u(n) = 3*n**2 + 4*n + 16. What is the remainder when u(-4) is divided by (g/(-9))/((-3)/(-171))?
10
Let t = 79 + -68. Suppose t*i = 5*i + 4*i. Suppose -p - 203 = -2*n + 137, i = 2*n + p - 348. What is the remainder when n is divided by 44?
40
Let d = -19487 - -19616. Calculate the remainder when 183 is divided by d.
54
Suppose 12 = 2*z - 2*v, v + 5 - 2 = 0. Let c = z + 0. Calculate the remainder when c - (-3)/((-6)/(-26)) is divided by 6.
4
Suppose 3*a = -23 + 8. What is the remainder when 320 is divided by (-19)/(20/a - -3)?
16
Suppose -23*m = -49*m + 19*m + 2282. Calculate the remainder when m is divided by 321.
5
Let l(t) = 4*t + 69. Let w be l(-10). Suppose -5*a + 4*f = 10, 2*a - w = 4*f - 9*f. What is the remainder when 82 is divided by a?
0
Let u(q) = -q**2 - q + 4. Let x(t) = -2*t**3 + 31*t**2 + 18*t - 12. Let k be x(15). Let j = k - 452. Calculate the remainder when j is divided by u(0).
3
Let d = 323 + -637. Let j = d + 480. Let l = j - 142. What is the remainder when 46 is divided by l?
22
Suppose 8*t -