 4. Let y be q(0). Let t be (-90)/(-21) + y/14. Calculate the remainder when 35/4*(t - 0) is divided by 12.
11
Let d = -2 - -2. Suppose 2*t - 3 = g, -g + 1 = -d. Suppose 5*m + c - 30 = 2*c, 0 = -5*m - t*c + 30. Calculate the remainder when m is divided by 3.
0
Suppose 0 = 5*u - 4*r - 165, -r + 120 = 5*u + 4*r. Let f = 44 - u. Calculate the remainder when 29 is divided by f.
14
Let a(d) = -d**2 - 9*d - 6. Let u be a(-9). Suppose 0 = -3*n + 2*n + 31. What is the remainder when n is divided by u/(-24) - 43/(-4)?
9
Let r be 5*3*2/(-15). Let a be (-3 - -5)/(3 + r). Suppose -5*x = 4*i - 183, i + a*x = 2*i - 62. What is the remainder when i is divided by 18?
16
Let n = -2 - -4. Let v be (0 - 2) + n + 58. Suppose 0 = -p + 3*b + v, 2*b + 3 = 1. What is the remainder when p is divided by 14?
13
Suppose 4*a = 15 + 13. Calculate the remainder when 17 is divided by a.
3
Suppose -5*f - 5*t = -87 + 7, -66 = -4*f - 3*t. Suppose -4*p + r = -279, -4*r + 147 = 2*p - 3*r. Calculate the remainder when p is divided by f.
17
Suppose -2*h - 3 - 6 = -5*t, 5*t = 3*h + 6. Let u be (-1)/(-3) + (-13)/h. What is the remainder when 13 is divided by (-6)/u*56/12?
6
Let w(v) = 5*v + 1. Suppose a - 100 = -4*a. What is the remainder when a is divided by w(2)?
9
Let g(x) = x**3 - 22*x**2 + 21*x + 18. Calculate the remainder when 88 is divided by g(21).
16
What is the remainder when (66/(-10))/(57/(-190)) is divided by 6?
4
Let r(b) = b**2 + 2*b + 4. Let a be r(3). Suppose z + w = -2*w - a, -4*z = w + 43. Let n = 16 + z. Calculate the remainder when 23 is divided by n.
5
Suppose 0 = 2*s + 2*s + 8. Let z be (2 + -6)/(4/s). Suppose 0 = -4*m - 3*w + 96, -z*m - 2*w + 29 = -m. Calculate the remainder when 61 is divided by m.
19
Let c(w) = 5*w**2 + 12*w + 10. Let l(o) = 3*o**2 + 6*o + 5. Let i(t) = 4*c(t) - 7*l(t). What is the remainder when i(5) is divided by 4?
2
Suppose 3*t - 2*t = 6. Calculate the remainder when 15 is divided by t.
3
Suppose 104 = j - 2*g + 4, 5 = 5*g. What is the remainder when j is divided by 26?
24
Let u = 93 - 90. Calculate the remainder when 3 is divided by u.
0
Let f = 12 + -7. Let d = 12 - 12. Suppose f*s = -5*p + 80, -4*p - s + 64 = -d*p. What is the remainder when p is divided by 6?
4
Suppose 4 - 19 = -f + 4*j, f + j = 25. Calculate the remainder when f is divided by 19/3 + (-1)/3.
5
Let w(m) = m**2 - 3*m + 4. Let d be w(3). Suppose -36 = d*u - 6*u. What is the remainder when u is divided by 6 + (2 - 0 - 1)?
4
Let r be ((-45)/25)/(6/(-20)). Calculate the remainder when ((-9)/r)/(6/(-248)) is divided by 21.
20
Let q = 19 - 0. Suppose -n = 3*s + 2*n - 21, 7 = s + 2*n. Calculate the remainder when q is divided by s.
5
Let h(u) = -4 + 5 + 4 - 2*u. Suppose 2*f - 140 = -3*f. What is the remainder when f is divided by h(-5)?
13
Suppose -33 = -5*d + 2. Let o(k) = 2*k - 3. Let f be o(3). Calculate the remainder when d is divided by 10/f - (-14)/21.
3
Let y(t) = -t**3 - 5*t**2 - 3*t - 8. Calculate the remainder when 12 is divided by y(-5).
5
Let m = -11 + 36. Suppose 5*p + m = c + 3*c, c = 0. Let r = 8 + p. Calculate the remainder when r is divided by 2.
1
Let a be -22 - (2 - 3)*-2. Let i(w) = -w**3 + 10*w**2 - 12*w + 6. Let h be i(8). Let r = h + a. Calculate the remainder when 40 is divided by r.
12
Suppose 0 = -4*g + 9*g. Calculate the remainder when 50 is divided by -39*(6/(-9) + g).
24
Let h(s) = -s**2 - 8*s + 11. Let j(k) = 3*k - 4. Let f(v) = -4*h(v) - 11*j(v). What is the remainder when 63 is divided by f(3)?
30
Let k = -84 - -118. Let f = 102 - k. Suppose h + 2*h - 3*a - 78 = 0, 2*h - 4*a = 58. What is the remainder when f is divided by h?
22
Let k be 2/(-4) + (-696)/(-16). Suppose l + 3*z = -l + k, 0 = -2*z + 6. Calculate the remainder when l is divided by 10.
7
What is the remainder when -4*3/(-48) + 1068/16 is divided by 18?
13
Suppose 0 = 65*v - 61*v - 84. Calculate the remainder when 40 is divided by v.
19
Suppose 3*x + 4*y = -x + 96, 75 = 5*x - 4*y. Let z(w) = -7*w - 21. What is the remainder when z(-11) is divided by x?
18
Suppose 2*d = 10 - 112. Suppose k = -66 - 12. Let u = d - k. What is the remainder when 52 is divided by u?
25
Let v(c) = -c**2 + 4*c + 7. Let m be v(5). Suppose 0 = 3*w - 10 - m. Suppose w*x - 32 = 4. Calculate the remainder when 16 is divided by x.
7
Let w = -18 + 27. What is the remainder when 15 is divided by w?
6
Suppose -6*o + 176 = -64. What is the remainder when o is divided by 14?
12
Suppose 4*v - 643 = w, -6*v + 482 = -3*v - w. What is the remainder when v is divided by 41?
38
Suppose -b - 264 = 3*b. Calculate the remainder when (b/(-10))/(5/50) is divided by 17.
15
Suppose 0 = 5*q + 6 + 19. What is the remainder when 38 is divided by (6 + 2)*q/(-2)?
18
Let x = 17 + -6. Suppose -44 = -5*z + x. Calculate the remainder when z is divided by 4.
3
Suppose 88 = 3*k + 31. What is the remainder when k is divided by 3/1*21/9?
5
Let n = -30 - -59. Calculate the remainder when 113 is divided by n.
26
Let n(d) = -d**2 - 15*d - 13. What is the remainder when n(-11) is divided by 8?
7
Calculate the remainder when 113 is divided by 5 + -4 - (3 - 40).
37
Let q(w) = -5*w - 5. What is the remainder when 38 is divided by q(-3)?
8
Suppose 0 = -2*m + 4*m - 4. Suppose -y - 1 + m = 0. What is the remainder when y is divided by 1?
0
Suppose u + 95 = 5*g, -g + 1 = -u - 18. Calculate the remainder when g is divided by 9.
1
Let n = -95 - -147. What is the remainder when n is divided by -12*((-6)/4 + 0)?
16
Suppose 7*c - 3*c - 284 = 0. Let b = c - 42. Calculate the remainder when 56 is divided by b.
27
Let w = -11 + 1. Calculate the remainder when 34 is divided by ((-6)/w)/((-5)/(-75)).
7
Calculate the remainder when (-4)/12 + 246/9 is divided by 14.
13
Let p = -63 - -137. Suppose 14 = 5*q - 81. Calculate the remainder when p is divided by q.
17
Let d(p) = p**3 + 3*p**2 + p + 3. Let b be d(-3). Suppose b*m - 5*m + 170 = 0. What is the remainder when m is divided by ((-12)/(-15))/((-1)/(-15))?
10
Let v(k) = 2*k - 3*k + 8*k**3 + k - k. What is the remainder when 18 is divided by v(1)?
4
Suppose 0 = 2*u - 13 - 15. What is the remainder when 39 is divided by u?
11
Let b = -11 + 21. Suppose -2*r + 195 = 3*r. What is the remainder when r is divided by b?
9
Let s(d) = -2*d - 1. Suppose -3*q - 27 = -156. Calculate the remainder when q is divided by s(-5).
7
Let t(y) = y**2 - 8*y + 19. Let b be t(13). Suppose 0 = m + 16 - b. Calculate the remainder when m is divided by 4/10 - 113/(-5).
22
Let u be 1082/9 + 8/(-36). What is the remainder when (u/(-32))/(2/(-16)) is divided by 11?
8
Let z = -14 + 32. What is the remainder when (-8 + 10)*(-53)/(-2) is divided by z?
17
Let p = 13 - 0. Let b = 566 + -543. Calculate the remainder when b is divided by p.
10
Suppose -31 = -3*x + 152. What is the remainder when x is divided by 32?
29
Suppose 4*k - 13 = 3. What is the remainder when k is divided by 2/3*(-1 - -4)?
0
Let h(r) = 2*r + 23. Calculate the remainder when 9 is divided by h(-9).
4
Suppose -4*w + 2*j = -7*w + 34, -3*j + 16 = w. Calculate the remainder when 36 is divided by w.
6
Let q = 5 + -1. Suppose -4*v = 4*a - 32, 0*a = 2*v + 3*a - 17. What is the remainder when v is divided by q?
3
Calculate the remainder when 41 + 1 - (10 + -6) is divided by 10.
8
Suppose 0 = -4*r + 6*r - 228. What is the remainder when 45 is divided by r/7 + (-8)/28?
13
Suppose -2*q + 0*q + 10 = 0. Let c(s) = s**3 - 2*s**2 - 3*s. What is the remainder when c(q) is divided by 21?
18
Let l(v) = v**2 + 6*v - 10. Calculate the remainder when 12 is divided by l(-8).
0
Suppose -3*l + 2*l = -2. Suppose 7 = y + 3*b, -l*b + 1 = 2*y - 21. What is the remainder when y is divided by 4?
1
Suppose 4*h = -3*o + 172, -2*h + 54 + 46 = -2*o. Calculate the remainder when 321 is divided by h.
45
Suppose 3*i = 4*r - 99, -4*r + 3*i = -2*i - 109. Calculate the remainder when 102 is divided by r.
18
Calculate the remainder when (-76)/6*(-6)/4 is divided by 3.
1
Let j = -2 - -5. Suppose k - 28 = j. Calculate the remainder when k is divided by 16.
15
Suppose -17*a + 22*a = 585. Suppose 0 = -0*w + 3*w - 90. Calculate the remainder when a is divided by w.
27
Let m(z) = -z**2 + 10*z + 15. Let j be m(11). Suppose -2*k + 14 = -0*q + q, -4*q - 4 = -j*k. What is the remainder when 6 is divided by q?
2
Let k(h) = -7