04. Calculate the remainder when y is divided by (-4)/(-14) - (-61)/7.
8
Let s = -12 - -26. Suppose -2*x = 2*j - 4, j + 4*x = -0*j - 4. Calculate the remainder when s is divided by j.
2
Let b = 8 - -2. Let d = b - -16. Let q = d + -17. Calculate the remainder when 25 is divided by q.
7
Let x(j) = j + 5. Suppose -3*v = 4*d + 7, 5*d - 3*v = -0*v + 25. Calculate the remainder when x(-3) is divided by d.
0
Suppose 78 + 12 = 3*o. Calculate the remainder when o is divided by 11.
8
Let l be 49*(-22*1 - -2). Calculate the remainder when 2/9 - l/45 is divided by 12.
10
Suppose 5*y - 557 = -167. What is the remainder when y is divided by 20?
18
Suppose 0 + 36 = 2*h. Calculate the remainder when 49 is divided by h.
13
Let j(l) = l**2 - 2*l + 3. Let w(r) = -r**3 + 5*r**2 + r - 1. Let s be w(5). Calculate the remainder when 41 is divided by j(s).
8
Let c(z) = z**3 - 12*z**2 + 12*z - 5. Let w be c(11). Suppose -92 = -w*m + 2*m. Calculate the remainder when m is divided by 13.
10
Let i(o) = o**2 - 12*o + 2. Calculate the remainder when 27 is divided by i(13).
12
Let w be (-1 - -22) + (-1 - -4). Suppose 0 = -6*y + 10*y - w. Calculate the remainder when 9 is divided by y.
3
Suppose 3*i = 7*i - 100. What is the remainder when 1335/i + 4/(-10) is divided by 14?
11
Let h(u) = -2*u - 8. What is the remainder when 22 is divided by h(-8)?
6
Let s = 52 - 27. What is the remainder when s is divided by (3/9)/(1/27)?
7
Let m(x) = -x**2 + x + 36. Let r be m(0). Suppose r = 6*o - 3*o. What is the remainder when o is divided by 7?
5
Suppose 48 = 7*h - 15. Let v = 15 - 0. What is the remainder when v is divided by h?
6
Suppose 2*t = 6*t - 104. Let z(d) = -4*d**2 + 34*d + 5. What is the remainder when z(5) is divided by t?
23
Suppose -4*r + 3*r = -2*z - 33, 5*z = 5*r - 75. Let g = z + 35. What is the remainder when 32 is divided by g?
15
Let c(w) = 5*w - 4. Let u be c(11). Let k be 278/8 - 1/(-4). Suppose -5*p - 5 + k = 5*l, 4*l = 5*p + u. What is the remainder when 26 is divided by l?
8
Let x = 1 + 3. Suppose -i - i - x = -4*n, -5*n + 8 = -i. Calculate the remainder when 5 is divided by n.
1
Let i(x) = -x**3 - x**2 + x + 1. Let m(c) = -6*c**3 + 3*c**2 + 12*c + 13. Let a(q) = 5*i(q) - m(q). Calculate the remainder when a(9) is divided by 6.
4
Suppose -3*k - 475 = -8*k. Let j = 141 - k. Suppose 3*r = -p + 34, -39 - 5 = -4*r - 2*p. Calculate the remainder when j is divided by r.
10
Let v be (18/15)/(3/15). Let y be 46/3 - 2/6. Calculate the remainder when 11 is divided by ((-70)/y)/((-4)/v).
4
Let r(p) = p**3 + 7*p**2 + 6*p + 7. Let m(i) = i + 16. Let a be m(-13). Suppose 2*s - 41 = -a. Calculate the remainder when s is divided by r(-6).
5
Let x = 8 + -24. Let d = x - -37. Calculate the remainder when d is divided by 11.
10
Suppose 0 = -4*c + 416 - 128. Suppose 3*h + h = 12, -5*h = 3*d - c. Calculate the remainder when d is divided by 10.
9
Suppose -2*z - 60 = -5*z. Calculate the remainder when 3/(-2) - (-770)/z is divided by 10.
7
Calculate the remainder when 44 is divided by 89/4 + (-27)/(-36).
21
Let f(h) = -8*h. Let d(k) = 0*k**3 - k**2 - k**3 + 2 - 2*k**2 + 6*k. What is the remainder when d(-5) is divided by f(-1)?
6
Suppose -2*m + 5*m - 48 = -3*j, 2*m - j = 32. Let n = -2 + m. What is the remainder when 26 is divided by n?
12
Let l(g) = -g**3 + 3*g**2 + 4*g. Let r be l(4). What is the remainder when r - (0 - 3*18) is divided by 14?
12
Let k = 154 - 72. What is the remainder when k is divided by 69/92*(2 - 26/(-1))?
19
Suppose 0 = -3*s - 5 - 4. Calculate the remainder when 6 is divided by s/(-2)*2 - -1.
2
Calculate the remainder when (6 + -7)*(0 - (-107)/(-1)) is divided by 18.
17
Suppose -37 + 85 = 4*g. What is the remainder when 45 is divided by g?
9
Let s(c) = -3*c + 2*c + 1 + 0. Let r be s(0). Calculate the remainder when 23 is divided by 14 + 2/(r + -2).
11
Calculate the remainder when 13 is divided by (1*-2)/(18/(-27)).
1
Suppose w = -w - 42. Let x be (16/6)/((-14)/w). Suppose -4*o = -2*j - 26, x*j = -0*o - 5*o + 39. What is the remainder when 27 is divided by o?
6
Suppose -4*m = -2*q - 500, 5*m - 3*q - 626 = -0*m. What is the remainder when m is divided by 25?
24
Suppose 2 = -5*m + 27. Let t(x) = -x**2 - x. Let c(k) = 5*k**2 + 5*k + 6. Let q(j) = -c(j) - 6*t(j). Calculate the remainder when q(-5) is divided by m.
4
Suppose -4*f - 8*f = -252. Let b(v) = 5*v + 2. Calculate the remainder when f is divided by b(2).
9
Let g = -11 + 18. Suppose 7*l - 2*l - 4*k - 147 = 0, -k = -l + 30. Calculate the remainder when l is divided by g.
6
Let x(a) = -a - 6. Let c be x(-6). Suppose k + 2*k + 4*q = 63, -4*q + 97 = 5*k. What is the remainder when k is divided by (c - (-7 + -1)) + -2?
5
Suppose -3*b = -46 - 428. What is the remainder when b is divided by 23?
20
Let y(c) = c**3 + 6*c**2 + 2*c - 9. Let l(q) = q**3 + 12*q**2 - 12*q + 8. Let x be l(-13). What is the remainder when 14 is divided by y(x)?
2
Suppose -5*a + 0*i - 20 = 4*i, 15 = -5*a - 3*i. Suppose a = -3*p + 187 + 341. Suppose -p = -6*f + 2*f. Calculate the remainder when f is divided by 15.
14
Let n(t) = 2 + 4*t**2 - 3*t**2 + 3 - 6. Let x be n(1). Let l(y) = -y**3 + y**2 + 32. Calculate the remainder when l(x) is divided by 11.
10
Suppose 101 - 497 = -12*l. What is the remainder when l is divided by 7?
5
Calculate the remainder when 18/(-1)*(-1 - 0) is divided by 10.
8
Let r be (7 + -9)/(4/26). Let w(v) = -v**2 + 6*v + 2. Let k be w(7). Let j = k - r. What is the remainder when 30 is divided by j?
6
Let c be 1 - 0/3 - -7. What is the remainder when 93 is divided by -4*4/c - -26?
21
Suppose 3*s - 114 = d, -108 = -3*s + d + 2*d. What is the remainder when s is divided by 21?
18
Suppose 87 = 5*l - 208. What is the remainder when l is divided by 16?
11
Suppose -t - 87 = -4*t. What is the remainder when t is divided by 8?
5
Let n(t) = -t - 4. Let r be n(-4). Suppose g - 2 + 1 = r. What is the remainder when 1 + g + 33 + 2 is divided by 13?
11
What is the remainder when 51 is divided by (-1)/7 + (-197)/(-7)?
23
Let f = -88 - -49. Let r = 14 - 25. Let d = r - f. What is the remainder when d is divided by 10?
8
Suppose -h + 17 = -37. Calculate the remainder when h is divided by 19.
16
Suppose -q = -4*q. Suppose 5*s = 2*m - 0*s - 45, 4*m - s - 135 = q. What is the remainder when m is divided by 12?
11
Suppose 2*c + 4 - 22 = 0. Calculate the remainder when 13 is divided by c.
4
Let q(f) = f**2 - f + 8. Calculate the remainder when 75 is divided by q(-5).
37
Let p = 137 + -83. Suppose p = 2*c + c. Calculate the remainder when 46 is divided by 49/3 + (-6)/c.
14
Let l(t) = -9*t + 13. Let m(u) = 5*u - 6. Let i(f) = 4*l(f) + 7*m(f). Suppose -1 = 4*d - 17. Calculate the remainder when i(0) is divided by d.
2
Suppose -3*l + 4*l = 3. Let u = l - 7. What is the remainder when 13 is divided by (-105)/14*u/6?
3
Let u(h) = -h + 26. Let k(o) = o + 12. Let g be k(-12). Calculate the remainder when u(g) is divided by 9.
8
Let m = 114 - 90. What is the remainder when 70 is divided by m?
22
Let w(r) = 2*r**3 + r**2 - 4*r. Let l = 3 + 0. Calculate the remainder when w(l) is divided by 26.
25
Let p be 5/1 + (-1 - -1). Suppose p*j - 24 = 21. Calculate the remainder when 24 is divided by j.
6
Suppose -s + 0*s = 3*g - 154, -g + 2*s = -63. Let m = -37 + g. What is the remainder when 47 is divided by m?
15
Let f(y) = y**2 + 2*y - 5. Suppose 3*h - 7 - 26 = 0. What is the remainder when f(-7) is divided by h?
8
Let n = -9 + 4. Let d(k) = k**3 + 4*k**2 - 6*k + 5. Calculate the remainder when (-2)/3 - (-178)/6 is divided by d(n).
9
Suppose -p + 13 = 2. What is the remainder when p is divided by 4?
3
Let g(h) = 5*h**2 + 8*h + 11. Suppose -5*k + 3*k = -30. What is the remainder when g(-4) is divided by k?
14
Suppose -19 = -g - 4*d, -4*g + 30 = 4*d + 2. Suppose -2*i + 20 = g*i. Calculate the remainder when 15 is divided by i.
3
Let r(b) = 21*b - 3. Let l be r(6). Let p = -75 + l. Let q = p - 27. Calculate the remainder when q is divided by 11.
10
Let r(d) = d**2 + 2*d - 3. What is the remainder when 18 is divided by r(2)?
3
Suppose -68 = -3*w + y, -y + 5*y = -5*w + 85. Let f = -7 + w. What is the remainder when 41 is divided by f?
13
Suppose m + 4*p = 10 + 7, -5*p = 3*m - 30. Suppose 4*n + 20 = m*g, -3 = -2*g + 3*n + 12. Suppose -3*f = -6 - g. What is the