ed by f.
8
What is the remainder when ((-3)/(-63))/((-4)/(-17988)) + 4/(-28) is divided by 180?
34
Suppose -2*x + 18 = 2*f - 2, 0 = 2*x - 2*f. Suppose x*a + 834 = 1439. Calculate the remainder when a is divided by 28.
9
Suppose -128 = v - x, 0 = -x - x + 6. Let o = v + 181. Calculate the remainder when o is divided by 29.
27
What is the remainder when 138 is divided by (-1794)/(-14) - (-15 - 1782/(-126))?
9
Let o(x) = 2*x**3 + 26*x**2 - 76*x - 17. What is the remainder when 535 is divided by o(3)?
19
Let x = 2356 + 284. Suppose -257*k + 245*k + x = 0. What is the remainder when k is divided by 74?
72
Let m = -14 - -11. Let g(i) = -5*i - 7. Let h be g(-5). What is the remainder when 108 is divided by 3 - (-4 - (m + h))?
20
Suppose -3300 = -2093*k + 2027*k. What is the remainder when (-16)/(-6)*(-1 + 94) is divided by k?
48
Let v(h) = -3*h**3 + 95*h**2 - 26*h + 6. Let q be v(32). Let b = q - -1856. Suppose -24 = 5*f - 99. Calculate the remainder when f is divided by b.
3
Let v(j) = -j**3 + 7*j**2 - 2*j - 2. Let l be v(6). Suppose 0 = -3*i - 7 + l. Suppose -37 = -i*a + 33. What is the remainder when a is divided by 8?
6
Let v(q) = -2*q**3 + 5*q**2 + 21*q + 78. Calculate the remainder when 363 is divided by v(-4).
161
Suppose -45*y + 51*y - 762 = 0. Let n = 143 - y. What is the remainder when 98 is divided by n?
2
Suppose -11*r = -3*r - 616. Let i be 3 - 5/(25/(-10)). Suppose 3*c - 101 = -i*n, -5*n - 42 = -5*c + 73. What is the remainder when r is divided by c?
23
Let p = 13483 + -13449. What is the remainder when 472 is divided by p?
30
Suppose -7040 = 9108*f - 9118*f. Calculate the remainder when f is divided by 51.
41
Suppose -13*j + 18*j - 750 = 0. Suppose 3*v - 5*v = -4. Suppose -v = 4*f - j. Calculate the remainder when f is divided by 14.
9
Let j be (-7)/3 + 200/150. Calculate the remainder when 78 is divided by j*(-22 - -7) - -5.
18
Suppose -3*l = -8*l + 75. Suppose -4*s + 211 = -3*d + 102, -3*s + 2*d = -81. Calculate the remainder when s is divided by l.
10
Suppose -4*q = 3*x - 235, 8*q - 13*q - 25 = 0. What is the remainder when x is divided by 5?
0
Let v(k) = 3*k + 17. Suppose -3*m = 179 - 185. Calculate the remainder when 88 is divided by v(m).
19
Let w = 1018 + -1010. Calculate the remainder when 2640 is divided by w.
0
Let i(r) = 9*r**2 - 3*r + 2. Let a be i(1). Let n(s) = -9*s**2 - s + a*s + 0*s**2 + s**3 - s**2 - 21. What is the remainder when n(10) is divided by 13?
10
Let u = -363 - -372. Suppose 0 = q - 2*k - 18, -5*q + 53 = -k - 55. Calculate the remainder when q is divided by u.
4
Let y be (12995/30 - 3) + 1/(-6). Suppose -42*n - y = -1774. What is the remainder when n is divided by 11?
10
Let v = -1725 - -3727. What is the remainder when v is divided by 59?
55
Let a(j) = -26*j + 19. Let l be a(-7). Let d = l + -116. Let u = -32 + d. Calculate the remainder when u is divided by 18.
17
Let w = 1334 - 1311. Calculate the remainder when 1698 is divided by w.
19
Let x(z) = -z + 56 + 6*z - 8*z + 6 + 6*z. Calculate the remainder when 262 is divided by x(9).
84
Suppose -4*z = 3*b - 11, 5*b - 8*b - 5*z + 7 = 0. Let d(x) = x**3 - 4*x**2 - 24*x + 19. What is the remainder when d(b) is divided by 30?
28
Let k(w) = -5*w + w**3 + 0*w + 1285 + w**2 - 1290. What is the remainder when k(4) is divided by 2/5 + 68/5?
13
Let k be 1/(-2)*(5 + -875). Let h = 441 - k. Calculate the remainder when 24 is divided by h.
0
Suppose -2*f + 298 = 310. Let z(n) = -n**3 - 5*n**2 + 6*n + 5. What is the remainder when 293 is divided by z(f)?
3
Calculate the remainder when (-111 - 39)*(-19)/6 is divided by 239.
236
Let k be (-1)/(-3)*-1*-2262. Suppose -7*f - k = -20*f. What is the remainder when 105 is divided by f?
47
Let y(k) = -k**3 + 8*k**2 + 2*k - 2. Calculate the remainder when y(7) is divided by 2/10 + (864/30 - -4).
28
Suppose -2*u + 7*u = 4*l - 741, 5*l - 20 = 0. Let w = u - -217. What is the remainder when w is divided by 14?
2
Suppose -5*y = 5*g - 75, 4*g - 9 = 5*y + 24. What is the remainder when 9563 is divided by g?
11
Suppose 62*m - 4902 = 31*m - 26*m. What is the remainder when 427 is divided by m?
83
Suppose 79*p - 87*p + 812 = 3*b, 0 = 2*b + 8. Calculate the remainder when 304 is divided by p.
98
Let d(b) = b**2 + 31*b + 13. Let k be d(-31). Suppose -8460 = -33*n + k*n. What is the remainder when n is divided by 71?
68
Suppose -37*x + 22*x = -765. What is the remainder when 2292 is divided by x?
48
Let z = 99 - 65. Calculate the remainder when 222 is divided by z.
18
Suppose 63*c + 7832 = -29086. Let o = -327 - c. What is the remainder when o is divided by 52?
51
Let f(j) = -35*j**3 + 3*j**2 + 2*j - 1. Let g be f(-1). Let w = g + -23. Calculate the remainder when 5 is divided by -3 - w*(-4)/6.
0
Let r = -3928 + 3942. Calculate the remainder when 1211 is divided by r.
7
What is the remainder when (9/(-5) - -1)/((-1406748)/175840 - -8) is divided by 47?
42
Let u(n) = -2*n**3 - 9*n**2 + 25*n + 125. What is the remainder when 173 is divided by u(-6)?
7
Suppose -d + 165 = 3*h, -2*d + 468 = 480. Let i = -24 - -46. Suppose -i = -5*m + 3. What is the remainder when h is divided by m?
2
Suppose -92*v + 125346 - 7678 = 0. Calculate the remainder when v is divided by 184.
175
Suppose -894 = -10824*m + 10818*m. Calculate the remainder when m is divided by 46.
11
Let d = 38 + -25. What is the remainder when (5/40*54 + -6)*120 is divided by d?
12
Suppose 0 = -10*b + 11*b - 3. Suppose 2*x + 3*g - 188 = 0, 8*g - b*g = 4*x - 332. Let i(j) = 7*j + 3. What is the remainder when x is divided by i(6)?
43
Suppose 20306 + 11908 = 14*l. Calculate the remainder when l is divided by 48.
45
Suppose 6*v = -8*v + 9*v. Suppose v = 12*b - 14*b + 5*u + 75, b - 36 = u. What is the remainder when b is divided by 13?
9
Let g be (-14)/(-3)*108/42. Suppose -5*f - g = -2, -u - f = -12. Let c = u - -34. Calculate the remainder when c is divided by 13.
9
Let w = -54 + 75. Let x = 388 - 384. Calculate the remainder when w is divided by x.
1
Suppose -24*q = -21*q - 123. Let f = -55 + q. Calculate the remainder when (((-264)/f)/3)/(6/21) is divided by 8.
6
Let x = 18395 + -18344. What is the remainder when x is divided by 26 + (2 - 3 - -1)?
25
Suppose 38 = 3*i - 4*w, 83 = 4*i + 4*w - 5. Suppose -5*t + 7*t - i = 0. Suppose 4*a - 47 = t. Calculate the remainder when 41 is divided by a.
13
Let i(a) = 605*a + 2322. Calculate the remainder when 2540 is divided by i(-3).
5
Suppose -11*h = -10*h. Suppose h = 24*n - 29*n + 10. What is the remainder when 32 is divided by n?
0
Let k(n) = n**3 - 17*n**2 + 92*n + 21. What is the remainder when k(13) is divided by 139?
124
Suppose 2*k + 4*v - 300 = 2*v, 8 = -4*v. Suppose -4*o + 52 = m + o, -5*m + 2*o = -k. Calculate the remainder when 126 is divided by m.
30
Suppose -g = -3*s + 1214, -4*s - 5*g + 2308 - 683 = 0. Suppose -s + 13 = -2*t. What is the remainder when t is divided by 73?
50
Suppose 4*v - 29 = 3*a, 6*v - 4*v = -2*a + 18. Suppose v*c = 7*c + 3. Suppose 2 = -c*s - 5*d - 9, 5*d = s - 23. Calculate the remainder when 17 is divided by s.
2
Suppose -95 = -3*j - 4*v + 114, -2*j - 4*v + 142 = 0. Suppose 5*r = -5*i + 40, -5*i + 3*r + 8 = -0. Calculate the remainder when j is divided by i.
3
Suppose -52556 = -47*y + 132765. What is the remainder when y is divided by 14?
9
Suppose -16*u + 11*u + 6 = -3*l, -3*u - 5*l = -24. Suppose 0 = -8*o + 4*o + 40. Suppose 24*h = 22*h + o. Calculate the remainder when h is divided by u.
2
Let t(u) = -12*u + 171. Let l be t(13). Let q(a) = 9*a - 115. Calculate the remainder when 176 is divided by q(l).
16
Let q = 77 - 32. Let a(s) = s - 1. Let c(p) = 72*p - 60. Let y(j) = 120*a(j) - 2*c(j). What is the remainder when q is divided by y(-1)?
21
Suppose -11*r + 9*r + 3*w = -102, 4*r - 214 = w. Let j be (-28)/(-6)*(-1 + -5). Let k = r + j. What is the remainder when k is divided by 14?
12
Suppose -3*f = -5*s + 1932, -4*f - 1936 = 21*s - 26*s. What is the remainder when s is divided by 138?
108
Let s = 106 - 107. Calculate the remainder when (179 + -7)*s/(-4) is divided by 23.
20
Calculate the remainder when 55 is divided by 60/16 - (-2)/40*-15.
1
Suppose 499*t - 10731 = 10726. Let c = -12 - -23. Calculate the remainder when t is divided by c.
10
Let p(y) = 19*y + 18. Let u(v) = -v**2 + 56*v + 53. Let g(n) = -7*p(