53. What is the remainder when (-781)/(-22) + 6/4 is divided by p?
18
Let a be (-2 + 8/6)/(12/(-11430)). Suppose a*f = 627*f + 312. What is the remainder when 190 is divided by f?
34
Suppose -3288*b = -3290*b + 102. Let k(t) = -t**3 + 4*t**2 - 6*t - 1. Calculate the remainder when k(-4) is divided by b.
49
What is the remainder when 254 is divided by 28 - ((-2695)/(-315) - 8/(-18))?
7
Let u(j) = 30*j**2 + 51*j + 13. What is the remainder when 432 is divided by u(-2)?
29
Let b(n) = 55*n + 511. What is the remainder when 236 is divided by b(-8)?
23
Suppose 113*h + 67*h = 5040. Calculate the remainder when 96 is divided by h.
12
Let h(y) = -y**3 + 5*y + 1. Suppose -390*b + 125085 = 305*b - 230*b. Calculate the remainder when b is divided by h(-4).
44
What is the remainder when 1 + -42*(-5 - (-570)/(-42)) is divided by 205?
166
Suppose -2*p + 20 = -8. Let k(g) be the first derivative of -6*g**2 - 7*g - 8. What is the remainder when k(-4) is divided by p?
13
What is the remainder when ((-330)/15 - -7 - -10)/(10/(-8484)) is divided by 1413?
3
Let l(w) = -44*w - 3504. What is the remainder when l(-102) is divided by 55?
49
Suppose -q - 4*f + f + 128 = 0, 0 = 4*f + 12. Calculate the remainder when q is divided by 32.
9
Let v = -185 - -345. Calculate the remainder when 811 is divided by v.
11
Let p be (-220)/(-76) + (-2)/(-19). Suppose 0 = 38*f - 35*f - p*u - 147, 5*u - 15 = 0. What is the remainder when 212 is divided by f?
4
Let d be (6/(-7))/((-3)/14). Suppose -d*w + 222 = 2*w. Let k = w - 32. What is the remainder when 14 is divided by k?
4
Let x = -286 + 317. What is the remainder when 62 is divided by x?
0
Let k = -47 + 13. Let y be (-2)/(-1) + (-30)/(-1). Let j = y - k. Calculate the remainder when j is divided by 14.
10
Suppose 12*u + 156 + 2664 = 0. Let v = -213 - u. What is the remainder when 166 is divided by v?
12
Calculate the remainder when 14694 is divided by -33 - -52 - (-135)/(-9).
2
Let u(d) = 32*d + 9. Let a be u(3). Suppose -a = -6*g + g. Let y = g + -19. Calculate the remainder when 2 is divided by y.
0
Suppose 68310 = 318*h + 103*h - 7*h. Calculate the remainder when 1992 is divided by h.
12
Calculate the remainder when (2/13 - 497283/299)/(2/(-4)) is divided by 32.
30
Suppose 11*t - 8*t - 4*h - 128 = 0, -86 = -2*t + 3*h. What is the remainder when 205 is divided by (2/16*-70)/((-5)/t)?
65
Suppose -83*v = 3*v - 432 - 2578. Calculate the remainder when 1114 is divided by v.
29
Suppose 11*o - 56 = -23. Suppose -5*i + 1162 = 4*b, o*b + 22*i - 23*i - 862 = 0. What is the remainder when b is divided by 59?
52
Let v(x) = 93*x**3 + 2*x**2 + 6*x. Let j be v(-2). Let h = j - -802. What is the remainder when 186 is divided by h?
24
Let s(g) = 6*g**3 - 6*g**2 - 3*g - 45. Calculate the remainder when s(4) is divided by 20.
11
Suppose -q + 4*a + 140 = -3*q, 2*q + 116 = 2*a. Let k = -56 - q. Calculate the remainder when 3 + (-28)/12 - (-368)/k is divided by 17.
11
Let q = -2629 - -2956. Calculate the remainder when q is divided by 157.
13
Suppose -5*a - t + 216 = -146, -5*t = 2*a - 108. What is the remainder when 569 is divided by a?
51
Calculate the remainder when 418 is divided by -3*(1/2 + (-161)/6 + 6).
52
Suppose -z = -7*l + 2794, -2*z - 1997 = -99*l + 94*l. What is the remainder when l is divided by 10?
9
Suppose -2089 = -56*k - 1531 + 2354. Calculate the remainder when 81 is divided by k.
29
Let d(w) = 78 - w + 77 + w**2 - 158. Let s be d(4). Suppose -s*m = -5*m - 32. What is the remainder when 39 is divided by m?
7
Suppose 9 - 3 = 2*k. Suppose -2*a + 4 = 0, k*c = 3*a + 21 + 39. What is the remainder when 153 is divided by c?
21
Let l = 71 - 19. Calculate the remainder when (-273)/l*(-3)/(9/16) is divided by (19/(-4))/((-7)/28).
9
Let p(s) = -8*s**3 - s**2 + 2*s + 8. Let b(l) = -4*l**3 - l**2 + l + 4. Let z(m) = -9*b(m) + 4*p(m). What is the remainder when z(3) is divided by 51?
44
Let s be 104/39*(30/4)/5. Let w be (-2)/s + (-4)/(-8). Suppose -6*b + 26 = j - 3*b, w = -j - 2*b + 21. Calculate the remainder when j is divided by 7.
4
Let r = -40 - -39. Calculate the remainder when (-3 + 0)*((-140)/12 + r) is divided by (-19)/(-2) + 3/6.
8
Calculate the remainder when 335 is divided by (-4)/(-18) + 2482/204*(-14)/(-3).
50
Let v = -8571 - -9407. What is the remainder when v is divided by 75?
11
Suppose 49*x + 1898 = 55357 + 100744. Calculate the remainder when x is divided by 63.
60
What is the remainder when 254 is divided by 36 + -30 - (-2 - 0 - 12)?
14
Suppose 16*x - 36 = -2*x. Suppose -x*w = 4*v - 162, -2*v = -5*v - 12. Calculate the remainder when w is divided by (-2)/(0 - (-2)/(-13)).
11
Suppose -12270 + 2764 = -49*o. What is the remainder when 1546 is divided by o?
188
Let o(h) = 49*h - 81. Let d be 16/(-72) - (-282)/54. Calculate the remainder when o(d) is divided by 56.
52
Let k be (1 - -5)*3/(-9). Let x be (55/2 - -5)/(k/(-4)). Suppose -7*y + 40 + x = 0. Calculate the remainder when 51 is divided by y.
6
Let g(a) = 8*a + 380. What is the remainder when 1381 is divided by g(-19)?
13
Let x = -3237 + 3613. What is the remainder when x is divided by 51?
19
Let x(h) = 37*h + 17. Let f be x(5). Suppose -3*w + f = -140. Suppose 81 = 3*g - 2*i, 2 = -2*i + 8. Calculate the remainder when w is divided by g.
27
Let h(o) = 2*o**3 + 41*o**2 - 11*o - 60. Calculate the remainder when h(-15) is divided by 123.
120
Let r be (-12 + 0)*(-13)/4. Suppose r*b - 12 = 35*b. Suppose -11 = -g - c, 0 = 5*g + b*c + 8 - 53. What is the remainder when 15 is divided by g?
3
Suppose -4*j + 60 = 8*j. Suppose -j*a = 5*a - 30. Calculate the remainder when 18 is divided by a.
0
What is the remainder when ((-1)/4 + 2354/88 + -21)*76 is divided by 57?
19
Let r be (37 + 1)/(9 - 11). Let d(w) = w**3 + 18*w**2 - 17*w + 60. Calculate the remainder when 26/(-3)*60/(-4) is divided by d(r).
20
Let s be (-3)/(-2)*(6/2 + -1). Suppose -90 - 6 = -s*f. Suppose 2*a - f + 126 = 2*m, 3*m + a = 161. Calculate the remainder when m is divided by 28.
24
Let y(w) = -13*w - 6. Let r(q) be the second derivative of -q**3/6 + 4*q**2 - 13*q. Let d be r(10). Calculate the remainder when 138 is divided by y(d).
18
Suppose -4*y = -5*a - 63 - 115, -2*y - 2*a = -98. What is the remainder when y is divided by 0 + 31/((-31)/(-6))?
5
Calculate the remainder when (-45)/225 - (5 + 232082/(-10)) is divided by 51.
49
Let m(j) = -47*j + 237. Let s be m(5). Suppose 0 = s*h + 3*l - 504, -252 = h - 2*h + l. What is the remainder when h is divided by 68?
48
Let j(t) = t**3 + 15*t**2 + 13*t + 4. Let s = 148 + -162. Calculate the remainder when j(s) is divided by 11.
7
Let d(r) = -3*r**2 - 75*r - 134. What is the remainder when 915 is divided by d(-15)?
283
Suppose 8 = 2*r - 6*r. What is the remainder when (-3)/(3/(-7)) - 0 is divided by (-12)/36*3*r?
1
Suppose 50 = -2*y + 44. Let a be (-7 + y)*18/(-5). What is the remainder when (18/a)/(2/164) is divided by 23?
18
Let l(g) = -g**2 + 8*g + 3. Suppose 3*n + h + 2*h - 12 = 0, -2*n = 5*h - 2. Suppose 0*k = -n*k + 426. Calculate the remainder when k is divided by l(6).
11
Let r(z) = 634*z**2 + 141*z + 277. Calculate the remainder when r(-2) is divided by 5.
1
Let m = -26252 - -27040. Calculate the remainder when m is divided by 57.
47
What is the remainder when 8/16*968 + -12 is divided by 221?
30
Suppose 3*k = 3*q + 4875, 0 = 2*k + 2*q - 2035 - 1231. What is the remainder when k is divided by 51?
48
Suppose -g = 4*i - 53, -33*i = -28*i + 5. Calculate the remainder when g is divided by 51.
6
Let q = -21 + 24. Let f be ((-8 + -4)/q)/(-2). Suppose -f*y = -56 + 2. Calculate the remainder when y is divided by 7.
6
Let b = -13995 + 14065. Calculate the remainder when 317 is divided by b.
37
Suppose 4*s - 41 = -3*p + 358, -2*s = p - 199. Suppose -24*x + 15*x = -s. Let i = -45 + 174. Calculate the remainder when i is divided by x.
8
Let x(i) = i**3 - 11*i**2 + 1. Let s be x(11). Suppose 7*l - s = -8. Let t(g) = -74*g**3 + g. What is the remainder when t(l) is divided by 15?
13
What is the remainder when (-1428)/105 + 13 + (-23218)/(-5) is divided by 18?
17
Let r = 134 - 130. Suppose -5*t = -f + 25 + 10, 3*t + 89 = r*f. What is the remainder when f is divided by 15?
5
Let p = -2610 - -1699. Let i = -896 - p. What is the remainder when 206 is divided by i?
11
Suppose -1