remainder when y is divided by 5.
2
Suppose -12 = -2*k + x, 2*k = -5*x + x + 22. Suppose 4*r - 48 = 56. Calculate the remainder when r is divided by k.
5
Let h = 102 - 70. What is the remainder when (1/(-1))/((-1)/94) is divided by h?
30
Let z be 17*-1 - (-4)/(-4). Let b(y) = y**2 + 6*y - 9. What is the remainder when b(-8) is divided by ((-2)/(-3))/((-4)/z)?
1
Let u be -3 + (78/2 - 1). Let g = -13 + u. Calculate the remainder when g is divided by 8.
6
Let h be (-2)/8 + (-51)/(-12). Suppose d - h*d + 150 = 0. Let b(r) = -2*r + 3. What is the remainder when d is divided by b(-7)?
16
Let o(g) = 29*g - 1. Let j be o(1). Suppose -4*i + j = 2*t - 12, 8 = i + t. What is the remainder when 46 is divided by i?
10
What is the remainder when 49 is divided by 2/(-10) + 917/35?
23
Let x be (-56)/(-21)*18/(-8). Let k(a) = -2*a + 7. Calculate the remainder when 73 is divided by k(x).
16
Suppose -26*n + 38*n = 384. What is the remainder when 126 is divided by n?
30
Suppose 3*r - 22 = r. Suppose -19 - r = -6*p. Calculate the remainder when p is divided by 4.
1
Suppose 3*z = 2*q - 242, -328 = -z + 5*z - 4*q. Let r = 110 + z. Suppose -5*n = -3*y - 0*y + 38, -41 = -4*y - 3*n. What is the remainder when r is divided by y?
10
Let g(m) = -m**3 + 7*m**2 + 2*m + 2. Let z = -7 - -11. Suppose -z*h + 5*x = -18, -3*x + 9 + 4 = h. Calculate the remainder when 30 is divided by g(h).
14
Let n(m) be the first derivative of 5*m + 1/4*m**4 + 0*m**3 + 0*m**2 + 1. Calculate the remainder when n(0) is divided by 3.
2
Suppose 6*x - 8 = 4. Suppose 2*k + 2*p = 20, 3*p + 25 = 3*k - k. Let f = -6 + k. Calculate the remainder when f is divided by x.
1
Suppose -3*w + w + 4 = 0. What is the remainder when 3 is divided by (3/w)/(3/4)?
1
Suppose -p + 4*g = 5*g - 2, -5*p = -3*g - 34. Let r(t) = 4*t**2 - 1. Let j be r(1). Suppose -j - 5 = -q. What is the remainder when q is divided by p?
3
Let f = 11 - -4. Let t(b) = b**3 - 9*b**2 - 6*b - 14. Calculate the remainder when t(10) is divided by f.
11
Calculate the remainder when 99 is divided by (-102)/(-4)*20/15.
31
Suppose 4*b + 23 = 5*a - 37, 4*a + 3*b - 48 = 0. Calculate the remainder when 47 is divided by a.
11
Suppose 10 = -o + 3*h, 0 = -3*o + 3*h - 18 - 18. Suppose 11*s + 224 = 3*s. Let x = o - s. What is the remainder when 28 is divided by x?
13
Let o be 2*1*(-18)/9. Let w(g) = -17*g - 5. Let s = -18 - -34. What is the remainder when w(o) is divided by s?
15
Let f(t) = 2*t**2 + 4*t - 5. Suppose -c + 6*c = 0. Calculate the remainder when f(-5) is divided by 8 - (-1 + 0 - c).
7
Suppose 5*u - 5 = r + u, 0 = 5*r - u - 13. Suppose -r*a + 2*a = -53. What is the remainder when a is divided by 14?
11
Suppose -2*g - 2*u + 14 = 0, 0 = g - 2*u - u + 9. Suppose 3 + 0 = 3*p - g*t, 4*p + t = 24. What is the remainder when (56/10)/(1/p) is divided by 15?
13
Let g = 11 + -9. Suppose 0 = -g*u + 3*j + 90 + 56, j = 5*u - 339. What is the remainder when u is divided by 17?
16
Let c(b) = -b**2 + 12*b - 16. Let a be c(10). Suppose 4*k = -a*u + 2*u + 164, -4*u + 298 = 2*k. What is the remainder when u is divided by 15?
12
Let r(m) be the second derivative of m**3/3 + m**2/2 + 9*m. What is the remainder when 24 is divided by r(6)?
11
Let l = -10 - -19. Let g = -5 + l. Calculate the remainder when 6 is divided by g.
2
Let s = -41 - -58. What is the remainder when s is divided by 4?
1
Let v = 79 + -52. Suppose -3*c - 2*r = -r - 94, c = -4*r + 24. Suppose 36 = 5*d - 2*w - c, -4*w = -4*d + 52. What is the remainder when v is divided by d?
13
Let n = 0 + 12. What is the remainder when 35 is divided by n?
11
Suppose -3*k = -4*x - 131, 4*x + 98 + 74 = 4*k. Calculate the remainder when k is divided by 14.
13
Let b(d) = -d**3 - 6*d**2 + 2*d - 6. Let x be b(-7). Let z = x - 19. What is the remainder when 13 is divided by ((-32)/z)/(16/(-40))?
5
Let p(n) = n**2 + n + 3*n**3 + 0 + 0 - 4*n**3. Let i be p(0). Suppose -a + i*a + 16 = 0. What is the remainder when a is divided by 9?
7
Let u(p) = 629*p**2 + p - 1. Let z be u(1). Let m = z - 425. Suppose -m = -5*j + 31. Calculate the remainder when j is divided by 12.
11
Let p(q) = 2*q**3 - q**3 + 9 - 5*q**2 + 0 - 4*q. What is the remainder when (-2)/(-10) + 1520/25 is divided by p(6)?
19
Let p = 52 + -14. Calculate the remainder when p is divided by 40*(-2 - 15/(-6)).
18
Suppose -o + 4 = -0. Suppose -o*h - 5*s = -97, -h = 3*s - 5*s - 8. Calculate the remainder when 33 is divided by h.
15
Let w(n) = -2*n**2 - 15*n - 14. What is the remainder when 7 is divided by w(-6)?
3
Let n(d) = -d**2 + 6*d + 10. Let b be n(7). Calculate the remainder when 14/(-1 + b/2) is divided by 10.
8
Let v(z) = -14 + 2*z**2 + 18 - 3*z - z**2. Calculate the remainder when v(-3) is divided by 8.
6
Let u(p) = -p - 17. Calculate the remainder when 128 is divided by u(-27).
8
Suppose m + h + 15 = 6*h, 0 = -3*m - 5*h + 55. Let y = -21 - -49. Suppose -4*p - r + 2*r = -81, 0 = 2*p + 2*r - y. What is the remainder when p is divided by m?
9
Suppose -4*n + 16 = 3*d - 13, d + 2*n = 13. Suppose 18 = d*l - 0. Let b(c) = -c**2 + 16*c + 17. Calculate the remainder when b(16) is divided by l.
5
Let j be ((-1)/2)/((-5)/30). Suppose -5*r - x + 130 = 0, j*x + 26 = -r + 2*r. Calculate the remainder when r is divided by 9.
8
Let m(x) = 4*x**3 - 2*x**2 - x. Calculate the remainder when ((-172)/6)/(2*4/(-12)) is divided by m(2).
21
Let d be -1*(-3)/(-3)*-3. Suppose -2*q = -6, 0*q = -g + d*q + 2. Calculate the remainder when 0/4 - (-41 + -1) is divided by g.
9
Let c = 22 - 8. What is the remainder when 54 is divided by c?
12
Calculate the remainder when (3830/(-55))/(-2) + 6/33 is divided by 18.
17
Suppose 0 = 11*b - 7*b - 40. What is the remainder when b is divided by (-2)/12 + 703/114?
4
Let h = 71 + 46. What is the remainder when h is divided by 24?
21
Let w = 4 - -30. Suppose 5*n + 10 = 70. Calculate the remainder when w is divided by n.
10
Let g = 11 - -4. Calculate the remainder when 74 is divided by g.
14
Let o be (-8)/(-6)*(6 - -114). Suppose 4*y - o = 248. What is the remainder when y is divided by 26?
24
Suppose 5 = -5*f - 0. Let m be 1*(0 - -2) - f. Suppose -i + 4*q = -5*i + 92, 0 = 3*i - m*q - 81. Calculate the remainder when i is divided by 9.
7
Let y(x) be the first derivative of -x**4/4 + x**3/3 - x**2/2 + 2. Let a be y(2). Let s = a - -10. Calculate the remainder when s is divided by 2.
0
Suppose 2*d + 47 = 121. Let n = 4 + d. Let k(h) = -h**3 + 7*h**2 - 2*h - 10. Calculate the remainder when n is divided by k(6).
13
Let o(h) = h**3 + 4*h**2 - 1. Let r be o(-2). Let y be 1*-1 - (-2 + 6). Let m = y + r. What is the remainder when m is divided by 2?
0
Suppose -147 = 5*s - 8*s. Calculate the remainder when s is divided by 14.
7
Let r = -1 + 6. Suppose 0 = -r*f + 2*n - 13, -5*n + 10*n + 14 = -3*f. Let i(m) = -2*m + 2. What is the remainder when 14 is divided by i(f)?
6
Let z(a) = -a**2 + 9*a - 1. What is the remainder when 50 is divided by z(7)?
11
Suppose 0 = 5*o - o - 8. Suppose o*p = 5*c, -c + 2*p = 5*p - 17. Calculate the remainder when 35 is divided by (-4)/(15/9 - c).
11
Let x = 154 + -75. Calculate the remainder when x is divided by 20.
19
Suppose 16 = 4*t + 4. Suppose -k + 2 = -t. Suppose -w = -2*m + 3*w + 18, -k*m + 101 = 4*w. Calculate the remainder when m is divided by 6.
5
Let m = 52 - 29. Suppose 5*z - m - 27 = 0. Calculate the remainder when 37 is divided by z.
7
Let s(y) = -2*y + 4*y - 2*y + 5*y. Let z(u) = 38*u**2 - u + 1. Calculate the remainder when z(1) is divided by s(4).
18
Suppose 3*l - 2*l - 83 = 0. Suppose -2*v - 28 = -d + 2*v, 2*d - 56 = -4*v. What is the remainder when l is divided by d?
27
Suppose 0 = -2*b + 4*b - 4*l - 20, l - 20 = -2*b. Calculate the remainder when 35 is divided by b.
5
Suppose r - 5*h + 8*h = 2, 5*r + 4*h + 1 = 0. What is the remainder when (4/1)/(4/34) is divided by 3*r/(-3)*12?
10
Let g = -1 + -7. What is the remainder when (3/(-6))/(1/(-10)) is divided by (-16)/(-10) - g/20?
1
Suppose 0 = -2*z - h, -5*z + 20 = -5*h - 10. What is the remainder when 3 is divided by z?
1
Let a be 5*(0 + (-2 - -1)). Calculate the remainder when (5/(-1) + 1)/(6/(-12)) is divided by 13/5 + (-2)/a.
2
Let c(j) = j - 4. Let h be c(4). Suppose 2*o - 3*u = 27, h = -o + 3*o - 5*u - 33. Let g(l) = -l**2 + 9*l + 3. Calculate the remainder whe