x. What is the remainder when 68 is divided by y(1)?
20
What is the remainder when ((-20)/(-2))/(-14 + 16) is divided by 3?
2
Let x(t) = 3*t**2 - t - 2. Suppose -3*j + 2*d - 3*d = -99, 0 = 3*j + 2*d - 96. Calculate the remainder when j is divided by x(-2).
10
Suppose 6 = 3*p - p. Let w(f) = 12*f - 4. Let t(n) = n**3 + 5*n**2 - 7*n + 5. Calculate the remainder when w(p) is divided by t(-6).
10
Suppose 4*p = 4*n + 364, -5*p + 462 = 2*n - 0*n. What is the remainder when p is divided by 19?
16
Let o be (5/10)/(1/(-2)). Let i = o - -1. Suppose i*s - 36 = -s. What is the remainder when s is divided by 19?
17
Suppose w + 2*w + 6 = 0. Let i(k) = -2*k**3 - 3*k**2 - 4*k - 2. What is the remainder when i(w) is divided by (-1)/((-44)/(-24) + -2)?
4
Suppose -3*x = 2*x - 20. Let o = x + 10. What is the remainder when 26 is divided by o?
12
Let t(n) = -n**3 - 35*n**2 - 68*n - 57. Suppose 2*q = 62 - 14. What is the remainder when q is divided by t(-33)?
6
Let k = -17 - -26. Suppose 4*y + 4 + 40 = 0. Let s = y + 16. What is the remainder when k is divided by s?
4
Let o(g) = 3*g**2 - 3. Let i(t) = 2*t - 3. Calculate the remainder when o(3) is divided by i(8).
11
Let i(t) = t**3 + 9*t**2 - 10*t + 5. Let d be i(-10). Suppose r + 17 = d*y, y - 5*r = -y + 16. What is the remainder when y is divided by 3?
0
Suppose -q - 4*t = -23, 152 = 4*q - 0*q - 4*t. Suppose -53 = -3*j + b, -5*b - 18 = -0*j - 2*j. What is the remainder when q is divided by j?
16
Let y = 5 - 13. Calculate the remainder when 7 is divided by y/20 - 22/(-5).
3
Suppose -3*s - 3*b = -5*s + 60, 5*s - 150 = 5*b. What is the remainder when s is divided by (0 + 32)*((-2)/2)/(-2)?
14
Suppose -n - 6*c = -c - 21, 5*n - 4*c - 134 = 0. Calculate the remainder when n is divided by 7.
5
Let d = -41 + 103. What is the remainder when d is divided by 16?
14
Suppose 2*a - 9 = a. Calculate the remainder when (a - -1)*(-42)/(-35) is divided by -1 + 1 - 42/(-6).
5
Let d = -3 + 7. Suppose 3*b + 89 = 5*y + d*b, 5*y = 3*b + 73. Calculate the remainder when y is divided by 10.
7
Let c = 65 - -16. What is the remainder when c is divided by 28?
25
Suppose -2*m = -3*u + 19, -7 = -5*u - 2*m + 14. Suppose 0 = -3*y + u*y - 4. What is the remainder when y is divided by 2?
0
Let i be 6/(-12) - (-1)/2. Suppose 0*f + f = i. Suppose 3*g - 5*g + 12 = f. What is the remainder when 10 is divided by g?
4
Let o(d) = 8*d - 7. Suppose -x = 4*x - 25. What is the remainder when o(x) is divided by 18?
15
Suppose -k = -4*b + 93, 2*b + 2*k - 67 = -b. Suppose -39 = -3*f - 0*j - 3*j, -5*f + 63 = 3*j. What is the remainder when b is divided by f?
11
Suppose a + 3*k = 68, -2*a + 4*k - 46 = -152. Calculate the remainder when a is divided by 10.
9
Let v(c) = c**3 - 9*c**2 + 7*c + 11. Let o be v(8). Suppose 34 = l + r, -3*l + 0*r = -o*r - 126. Let t = -9 - -22. What is the remainder when l is divided by t?
12
Suppose -5*z = 4*r - 4*z - 82, 5*r - 115 = 5*z. Calculate the remainder when 81 is divided by r.
18
Let r be ((-2)/(-3))/(22/(-99)). What is the remainder when r/15 + 648/15 is divided by 22?
21
Suppose 4*b - 14 = 70. Calculate the remainder when b is divided by 12.
9
Let c = -2 + 3. What is the remainder when (17/(-4))/(c/(-4)) is divided by (-3 - (-425)/35) + 2/(-14)?
8
Let t be 0/1 - (1 - 0). Let o = 3 + t. Let q(y) = -y**2 - 15*y + 1. Calculate the remainder when o is divided by q(-15).
0
Suppose 59 = 4*v - 5*p - 7, 0 = -v + 3*p + 20. Let a(s) be the second derivative of -s**3 - 3*s**2/2 - 2*s. What is the remainder when a(-5) is divided by v?
13
What is the remainder when 68*-6*2/(-24) is divided by 9?
7
Suppose 6*p + 3*f + 3876 = p, 2*f - 6 = 0. Let y = 33 - 18. What is the remainder when p/(-18) - 3/18 is divided by y?
13
Suppose u + 4*c = -3*u + 60, 0 = -3*c + 15. Suppose -p + 4 = -0*p. What is the remainder when u is divided by p?
2
Let r = -6 - -10. Suppose 5*c = i + 186, -r*i = 2*c - 70 - 0. What is the remainder when c/3 - (-10)/15 is divided by 7?
6
Suppose -2*c - 8 - 19 = -r, -71 = -3*r - 4*c. What is the remainder when r is divided by 7?
4
Let d = -29 + 46. Suppose 5*s - d = -2. Calculate the remainder when 8 is divided by s.
2
Suppose 36 = 3*i - i. Suppose 5*w - i = 3*w. What is the remainder when w is divided by 4?
1
Let v(p) = 2*p**2 + 4*p + 3. Let k be v(-2). Let m = k - -1. Suppose -m*w - 5 = 4*g + 7, -g = -3*w - 13. What is the remainder when g is divided by 1?
0
Let w = -17 + 13. Calculate the remainder when 20 is divided by (-273)/(-26)*w/(-6).
6
Suppose -5*m = -4*m - 12. Suppose 0 = 4*n - 2 - 18. What is the remainder when m is divided by n?
2
Suppose -2*k + 31 = 5*h + 6, k = 2*h - 1. Let q(l) = l - 2. What is the remainder when 6*(0 - 4/(-3)) is divided by q(k)?
2
Suppose -5 = 5*p + 5, p = -4*f + 126. What is the remainder when 57 is divided by f?
25
Suppose 5*c + 8 + 7 = -5*x, 0 = -x. Let q be ((-47)/(-2))/(c/(-6)). Let i = q - 33. What is the remainder when 41 is divided by i?
13
Let b(g) = -3*g + 5. Let r = -69 + 101. Calculate the remainder when r is divided by b(-4).
15
Let n = 10 - 7. Let g be n + 1/(-1) + -49. Let a = 93 + g. Calculate the remainder when a is divided by 12.
10
Suppose -3*y + 8 = y - 4*g, -2*g + 16 = 3*y. Suppose -o + 2 = 3*o - z, -o - y*z + 9 = 0. Let h(f) = -f + 5. Calculate the remainder when h(4) is divided by o.
0
Suppose -3*s = -2*k + 9, 2*k + 4*s - 3 = -1. Suppose -5*a - 2*v = -10*a + 93, 0 = -3*v + k. Calculate the remainder when a is divided by ((-2)/4)/(3/(-42)).
5
Let v(d) = -d**3 - 5*d**2 - 5*d - 2. What is the remainder when 10 is divided by v(-4)?
0
Let h = 16 - 8. Suppose -4*a - h*x = -3*x - 33, 5*a - 69 = 3*x. Calculate the remainder when 34 is divided by a.
10
Let w(c) = 48*c**2 - c + 1. Let g be w(1). Let r = -8 + g. Calculate the remainder when r is divided by 14.
12
Suppose 8*q = 5*q + 84. What is the remainder when 53 is divided by q?
25
Let v = -3 - 21. Let u = v - -42. Calculate the remainder when 33 is divided by u.
15
Let c(z) = z**3 - 8*z**2 - 8*z - 3. What is the remainder when 16 is divided by c(9)?
4
Suppose -7*p = -11*p + 84. Calculate the remainder when 41 is divided by p.
20
Let f = 37 + -25. Let k(d) = -d**2 + 14*d - 7. Calculate the remainder when 66 is divided by k(f).
15
Let v be 74/10 - 6/(-10). Let p(g) = g**2 - 5*g - 3. What is the remainder when 61 is divided by p(v)?
19
Let n(w) = 8*w - 20. Calculate the remainder when n(5) is divided by 3.
2
Suppose -h + 0*h + 28 = -5*w, 2*w = -2*h + 20. Let u = h - -25. What is the remainder when u is divided by 12 - (-13 - -11)*(-1)/(-2)?
12
Let j(m) = 4*m**3 - m**2. Let o be j(1). Let t be 1 + (12/o)/2. Suppose q + 0 - 38 = -t*w, 0 = -3*w + q + 46. What is the remainder when w is divided by 8?
6
Suppose -42 = -3*p + f, 2*f = -3*p - 2*p + 59. What is the remainder when p is divided by 4?
1
Let x be (-22)/18 - (-8)/36. Let t = -3 + 16. What is the remainder when x/((-2)/(-24))*-2 is divided by t?
11
Suppose 0 = -2*r + 4*b + 7 + 37, 0 = -r - 3*b + 7. Calculate the remainder when 30 is divided by r.
14
Suppose -p + 90 = 2*m + 38, 4*m = 2*p + 104. Let g(c) = c - 6. Let q be g(8). Let n = m - q. What is the remainder when n is divided by 13?
11
Let j(m) = m**3 - 4*m**2 + 5*m - 4. Let a(w) = w**2 - 2*w + 3. Let i be a(2). What is the remainder when 4 is divided by j(i)?
0
Let k = -4 + -5. Let f = k + 13. Calculate the remainder when 6 is divided by f.
2
Let s = 25 - 16. Let p(t) = t**2 + t - 3. Let u be p(4). Suppose 2*a + 19 = 5*z, -4*z = -0*z - a - u. Calculate the remainder when s is divided by z.
4
Let c = 39 - 26. What is the remainder when c is divided by 7?
6
Let w = 10 - 4. Suppose -3*i + 6 = 2*z - 7*i, 4*i = z + 5. What is the remainder when z is divided by w?
5
Let i(p) = -5*p**2 - 4*p - 4. Let r be i(-3). Let g(j) = j**3 - 3*j**2 - 1. Let k be g(3). Calculate the remainder when (r/3)/(k/3) is divided by 10.
7
Let v(a) = a**3 - 10*a**2 - 11*a + 2. Let d be v(11). Suppose -d*q = -4*y + 1 - 3, 4*y - 1 = q. What is the remainder when q is divided by 2?
1
Let h(c) = 2*c**3 - 3*c + 1. What is the remainder when 183 is divided by h(3)?
45
Suppose -2*f - 30 = 3*f. Let j(w) = -2*w - 1. What is the remainder when 30 is divided by j(f)?
8
What is the remainder when -4 + 1*(27 + 0) is divided by 5?
3
Suppose -5*q = -2*q. Suppo