ppose 5 = 4*w - u. Suppose 2*r = 4*a + 20, -w*r = -4*r - 3*a + 20. Calculate the remainder when r is divided by 6.
4
Let y = -17 - -6. Let q = y - -42. Calculate the remainder when q is divided by 16.
15
Suppose -5*y + 182 = 17. Let w(v) = v**3 + 7*v**2 + 9. Calculate the remainder when y is divided by w(-7).
6
Let f(l) = 7*l**2 + l - 3. What is the remainder when f(2) is divided by 14?
13
Let x(r) = 9*r - 3. Suppose 2*g + 39 = 4*k - 9, -2*k + 24 = -3*g. What is the remainder when x(4) is divided by k?
9
Let j(w) = -2*w**2 + 2*w + 1. Let q be j(3). Let l be (1 + 3)/(3/(-18)). Let z = q - l. What is the remainder when 38 is divided by z?
12
Let c = -19 - -41. Let z(o) = 11*o**2 - o. Calculate the remainder when c is divided by z(-1).
10
What is the remainder when 5/(-20)*4*(-55 - -1) is divided by 7?
5
Suppose 2*f + 3*g - 20 = 0, -3*f - 2*g = -f - 20. Calculate the remainder when 28 is divided by f.
8
Let y be 1*19/(-2)*-2. Suppose 0 = -i - y + 46. What is the remainder when i is divided by 15?
12
Suppose -5*m - 21 + 6 = 0. Let v = 15 - m. Suppose -v = -4*l + 42. What is the remainder when 44 is divided by l?
14
What is the remainder when 1926/30 + ((-12)/(-15) - 1) is divided by 24?
16
Suppose 2*o - 58 = c, 51 = -5*o + 4*c + 202. Calculate the remainder when 107 is divided by o.
26
Suppose 4*x = 2*o + 252, -x - 2*x = -4*o - 184. Calculate the remainder when x is divided by 17.
13
Calculate the remainder when 15 is divided by (0 + 3 + -4)*-8.
7
Let k be (-2)/(-2) + 10/2. Suppose 142 = 4*b + 2*q, 5*b = 3*q + 273 - 79. Calculate the remainder when b is divided by -39*(-1 - k/(-9)).
11
Let y(w) = 20*w**3 + w**2 - w. Let j be (4/(-6))/(4/(-18)). Suppose z + 22 = j*z. What is the remainder when y(1) is divided by z?
9
Let s = -19 - -26. Let l = s - 4. What is the remainder when 4 is divided by l?
1
Suppose 0 = 5*d - 3 - 22. Suppose f - 5*b - 38 = 0, 2*f - 4*f + 1 = d*b. Calculate the remainder when 38 is divided by f.
12
Suppose 4*w = 14 + 10. Let y(o) = -o**3 + 7*o**2 - 6*o + 3. Calculate the remainder when y(w) is divided by 2.
1
Suppose -5*n + 34 = -f, 0*n = -n - f + 8. Let j(c) = -2*c**2 + 4*c - 2. Let h be j(3). Let v = n - h. Calculate the remainder when 28 is divided by v.
13
Let s = -6 - -11. Calculate the remainder when 4/10 - (-830)/50 is divided by s.
2
Let n = -62 + 92. Suppose -3*c - 3 = -4*c, -c + 51 = 3*w. What is the remainder when n is divided by w?
14
Let o = -30 + 86. Let z = 37 + -18. Calculate the remainder when o is divided by z.
18
Suppose 4*l = 0, -2*l + 70 + 38 = 4*z. What is the remainder when z is divided by 7?
6
Suppose -s - 10 = -6*s. Suppose 5*u = -s*k - 15, k = 6*k + 5*u. Suppose -a - 5*n + 9 = 0, k = -0*a + a + n. Calculate the remainder when a is divided by 2.
0
Suppose -5*x + 69 + 13 = -2*g, 5*x - 94 = -g. Let c = x - 1. Calculate the remainder when 33 is divided by c.
16
Let a = 4 - 8. Suppose -4*f + 2*h + 26 = -h, -3*f + 5*h + 25 = 0. Let k = f - a. What is the remainder when 25 is divided by k?
7
Let k(x) = -x**2 - 11*x - 5. Let a(z) = -z**2 + 4*z + 4. Let g be a(6). Let p be k(g). What is the remainder when (-4)/(-1 - p/(-21)) is divided by 11?
9
Calculate the remainder when 4 is divided by (-28)/(-10) + (-64)/80.
0
Let u be 4/(-22) - 6088/(-88). Let v = u + -45. Calculate the remainder when v is divided by 9.
6
Let d = -55 + 166. What is the remainder when d is divided by 28?
27
Suppose -10*n + 144 = -2*n. Calculate the remainder when (53/(-2))/((-2)/4) is divided by n.
17
What is the remainder when 30 is divided by (2/(-8))/(1/(-28))?
2
Let w(d) be the third derivative of 5*d**4/24 - d**3/2 + 4*d**2. What is the remainder when w(3) is divided by 7?
5
Let h(c) = 7 + 3 + 7 + c - 6. Calculate the remainder when 21 is divided by h(-5).
3
Let h = -35 - -53. What is the remainder when 69 is divided by h?
15
Suppose -k + 15 = -2*k. Let v = 24 + k. What is the remainder when 33 is divided by v?
6
Let j = -17 - -70. Calculate the remainder when j is divided by 14.
11
Let r(n) = n**3 + 6*n**2 + 7*n + 5. What is the remainder when r(-4) is divided by 5?
4
Let l be (20/15)/((-2)/(-123)). Suppose -2*u = 3*w - 6*w - 80, -3*u + l = 5*w. Let i = u - 21. Calculate the remainder when 23 is divided by i.
10
Let b = 104 + -73. Suppose -3*s + 4*s = b. Let v = 3 + 8. What is the remainder when s is divided by v?
9
Let k be 24/(-5)*(-30)/4. Suppose -2*q + 6*q = k. What is the remainder when 16 is divided by q?
7
Let l(d) = -d**2 + 14*d - 8. What is the remainder when l(6) is divided by 21?
19
Suppose -5*h - h + 132 = 0. Calculate the remainder when h is divided by 12.
10
Let t = 41 - 26. Calculate the remainder when 71 is divided by t.
11
Let l = 35 - 17. Suppose -3*o = 3*b - 18, -5*b + 0 = -o - l. What is the remainder when 9 is divided by b?
1
Let a(z) = -12*z + 3. Let p be a(-4). Suppose -3*x + p = -0*x - 3*t, 4 = t. Let h(b) = 13*b - 4. Calculate the remainder when h(5) is divided by x.
19
Let y(d) = 2*d - 5. Let q be y(4). Suppose q*k = 5 + 4. Calculate the remainder when 4/(-10) + 114/10 is divided by k.
2
Suppose -16*x + 14*x = -14. What is the remainder when 14 is divided by x?
0
Suppose 4*k - 4*f = 52, k - 4*f - 13 = 12. Calculate the remainder when 15 is divided by k.
6
Calculate the remainder when (1 - -49)*(-6)/(-2) is divided by 51.
48
Suppose -2*h + 66 = q - 16, 4*q - 340 = -4*h. Suppose -q = -2*t - 2*t. Calculate the remainder when 41 is divided by t.
19
Let v(y) = -y**3 + 3*y**2 + 3*y + 8. What is the remainder when v(4) is divided by 2?
0
Suppose -l + 5*f = -0*l + 5, f = -l + 7. Suppose -4*b - 2*n = 102, -n = l*b - 2*n + 110. Let i = 41 + b. Calculate the remainder when 53 is divided by i.
17
Let k = -5 + 40. Suppose -10 = -2*f + 4*x, 5*f - k = 3*x + 2*x. What is the remainder when 26 is divided by f?
8
Let z = 37 + -11. Let o = 5 + 0. Suppose -o*g = -2*g - 27. What is the remainder when z is divided by g?
8
Suppose -3*k = -3*a - 39, 0 = -2*k - 5*a + a + 32. Calculate the remainder when 92 is divided by k.
8
Suppose 39 = y + 11. What is the remainder when 55 is divided by y?
27
Suppose -3*j - 17 = 5*a, 4*a + 37 = -5*j - 0*j. Let r = -5 - j. Calculate the remainder when 6 is divided by r.
2
Let g(k) = -k**3 + 8*k**2 - 2*k + 9. Let r be g(8). Let i = r - 0. Calculate the remainder when 38 is divided by 1 + 11 - (6 + i).
12
Let w be 18/(-21)*(-14)/3. Let d(f) = f**3 + f**2 - 4*f - 3. Calculate the remainder when d(w) is divided by 16.
13
Let k = -16 + 26. Calculate the remainder when 17 is divided by k*((-6)/(-10))/1.
5
What is the remainder when 72 is divided by (2/3)/(14/315)?
12
Let v = -11 + 7. Let x(y) = y**3 + 5*y**2 + 3*y - 1. What is the remainder when x(-4) is divided by (v/10)/(1/(-5))?
1
Suppose 5*z = 4*v + 66, 5*z = -2*v - v - 32. Let c = 32 + v. Calculate the remainder when 53 is divided by c.
17
Let f = 10 + -16. What is the remainder when 23 is divided by 32/f*15/(-10)?
7
Suppose 3*k = 6*k - 108. Suppose k = -5*p + 251. Let x = 18 - 3. What is the remainder when p is divided by x?
13
Suppose 3*r + r = -4. Let d be (2/4)/((-1)/46). Calculate the remainder when r - -4 - (d + 1) is divided by 13.
12
Let m be 6*(16/6)/(-4). Let s = m - 1. Let k = 4 - s. What is the remainder when 17 is divided by k?
8
Suppose -2 - 28 = -3*p. Calculate the remainder when (14/(-28))/((-1)/52) is divided by p.
6
Let s(z) = 2*z + 87. Suppose 33 = 2*a - 1. What is the remainder when s(-11) is divided by a?
14
Suppose 6*u + 36 = 462. What is the remainder when u is divided by 18?
17
Suppose -5*g + 4*s = -49, -5*s + 23 = g - 10. What is the remainder when 23 is divided by g?
10
Let o(x) = -x**3 - x**2 - x - 88. Let f be o(0). What is the remainder when 29 is divided by f/(-2)*(-1)/(-4)?
7
Calculate the remainder when (16/(-104) - (-1094)/13) + -2 is divided by 17.
14
Let t = -77 + 88. What is the remainder when t is divided by 2/((-1)/7*-2)?
4
What is the remainder when 77 is divided by 10/3*(2 + 4)?
17
Calculate the remainder when 45 is divided by 4/10*(-11 + 41).
9
Suppose -2*i + 185 = 3*i. Let r = 58 - i. Let s = r + -15. What is the remainder when 23 is divided by s?
5
Suppose -q - 5 = -2*k, -k - 3*q + 5 = -1. Suppose -h - 1 + k = 0. Calculate the remainder when (-2 - -1)/((-2)/6) is divided by h.
1
Suppose n + n - 102 = 0