hat is the remainder when 41 is divided by h/(-5) - g/(-15)?
13
Suppose 0 = -5*k + 3*y + 33, -k = 4*k + 4*y - 61. Let h = -1 + 3. Suppose 4*d = 3*f - 90, -32 = -2*f + f + h*d. What is the remainder when f is divided by k?
8
Let u = -8 + 49. Suppose u = 4*h - 43. Suppose -11 = -0*r - r. Calculate the remainder when h is divided by r.
10
Let u(b) = -b**3 + 13*b**2 - 7*b + 11. Let g be u(13). Calculate the remainder when 10/g + (-409)/(-8) is divided by 27.
24
Let a be 3*-2*34/4. Let z = 86 + a. Calculate the remainder when z is divided by (-9)/15*(-330)/11.
17
Suppose 4*o = b - 0*o - 14, -2*b = 5*o - 28. Suppose -3*q + 2*d = -32, -5*q - d + 21 = -15. Calculate the remainder when b is divided by q.
6
Suppose -3*b + 87 = 4*f, 0 = 2*b - 6*b - 4*f + 112. Suppose 0 = -5*p - 2*o + 73, 5*p + o - 30 = 3*p. What is the remainder when b is divided by p?
12
Suppose -202 = -2*w + 84. What is the remainder when w is divided by 49?
45
Suppose w - 1 = -2*d, 5*w - 5*d + 11 = 31. Suppose 2*h = -4 + 34. What is the remainder when 1/(w/93) - 2 is divided by h?
14
Let j be (2/(-6))/(1/(-6)). Suppose 0 = x + j*x - 21. Calculate the remainder when x is divided by 7 - (4 - (-2)/(-1)).
2
Suppose -2*m + 4*m - 30 = 0. What is the remainder when 27 is divided by m?
12
Let k(f) = 3*f**2 + 15*f + 8. What is the remainder when k(-6) is divided by 17?
9
Let c = 19 - 13. What is the remainder when 24/9 + (-4)/c is divided by -3 + (-2 - 1) + 8?
0
Calculate the remainder when (10 + -9)/((-2)/(-6)) is divided by 2.
1
Let v be (0 + 0)/(-2 - -1). Suppose 2*t - 4*j - 74 = -v*t, 2 = j. Suppose 0*x - t = -x. Calculate the remainder when x is divided by 14.
13
Suppose 2*z - 7 = 5*t - z, 3*t + 2*z = 11. Let y(r) = 25*r**3 + 2*r**2 - 1. Calculate the remainder when y(t) is divided by 14.
12
What is the remainder when (77 + -1)*(-1)/(-4) is divided by 11?
8
Suppose -3 = -l - 0*l. Let p(v) = v + 7. Let i be p(-6). Suppose 13 = 2*m - i. Calculate the remainder when m is divided by l.
1
Calculate the remainder when (-2 - (-49)/21)/(2/114) is divided by 4.
3
Suppose l = 2*z + 7, -3*z - 17 + 1 = -2*l. Calculate the remainder when (54 - 55)/(2/(-42)*1) is divided by l.
10
Suppose 0 = 2*s + s. Suppose s = -2*m + 4*r + 22, -4*r + 9 = 5*m - 60. What is the remainder when m is divided by 7?
6
Suppose -1 - 4 = 5*j, 3*b - 115 = -5*j. What is the remainder when b is divided by 21?
19
Let n be 2/(-8)*-9*-4. Let y(l) = -5*l - 13. Calculate the remainder when y(n) is divided by 11.
10
Suppose -5*d + 211 = -354. What is the remainder when d/5 - (-12)/30 is divided by 12?
11
Let k = -4 + 4. Let y be k - 0/((-2)/2). Suppose -l = -y*l - 25. What is the remainder when l is divided by 9?
7
Let m(t) = -t**2 + 6*t - 3. Suppose n = -4*n + 20. Calculate the remainder when m(3) is divided by n.
2
Let n(o) = 4*o**2 + o + 1. Let y be n(-1). Let g(d) = -d**3 + 4*d**2 + 4*d - 2. Calculate the remainder when 40 is divided by g(y).
12
Suppose -15 = m + 2*q, -2*q = 5*m + 41 + 42. Let j = 26 + m. Let l(z) = z**2 - 3*z - 3. Calculate the remainder when l(-4) is divided by j.
7
Let m(b) = -b**2 + 8*b - 4. Let o be m(7). Let q(u) = -u**2 + 3*u + 3. Let s be q(o). Suppose 128 = s*l + l. What is the remainder when l is divided by 11?
10
Let g(c) = c**3 - 13*c**2 + 2*c - 2. What is the remainder when g(13) is divided by 10?
4
Let d = 19 - 12. Let n(o) = -o**3 - o**2 - o + 14. Let j be n(0). Suppose 3*a - 5*w = -0*w - 9, -4*a + j = 2*w. What is the remainder when d is divided by a?
1
Let d(y) be the second derivative of 3*y**3/2 - 3*y**2 + 4*y. Suppose -2*h = k - 7 + 1, -k - 5*h = -3. What is the remainder when d(4) is divided by k?
6
Suppose -35*b + 32*b = -78. What is the remainder when 1 + 99*(0 + 1) is divided by b?
22
Suppose 0 = 4*z - 5 - 55. Calculate the remainder when z is divided by 6.
3
Let m = -7 + 23. Let k = 0 + -8. Let c = -2 - k. Calculate the remainder when m is divided by c.
4
Let s(m) = m - 11. Let g be s(7). Let q = g + 9. Calculate the remainder when 14 is divided by q.
4
Let i = -31 + 40. What is the remainder when 34 is divided by i?
7
Let w = 15 - 3. Calculate the remainder when 142/6 - (-8)/(-12) is divided by w.
11
Suppose -t + 5 = -0*t. Suppose -5*c + 26 = 3*x, -3*c - 9 + 33 = -x. Calculate the remainder when c is divided by t.
2
Suppose 4*x - 3*x - 14 = 0. Let i(z) = -1 + 29*z**2 - 28*z**2 + 2*z**3 + 23*z**3 + z. What is the remainder when i(1) is divided by x?
12
Let j = -72 + 153. What is the remainder when j is divided by 28?
25
Let y = -24 - -68. Suppose 14 = 4*w - 18. Calculate the remainder when y/2 + (0 - 0) is divided by w.
6
Suppose q + q - 126 = 0. What is the remainder when q is divided by 22?
19
Let m(p) = 6*p**3 - p + 3*p**3 + 7*p**2 - 4 - 8*p**3. Calculate the remainder when (0 + -2)*(-3 + 1) is divided by m(-7).
1
Let n(u) = u**3 - 2*u**2 + 2*u - 1. Let d be n(3). Suppose 0 = -0*i + 2*i - d. Suppose 0*o + 48 = 4*o. Calculate the remainder when o is divided by i.
5
Let n(s) = 2*s**3 - 5*s**2 + s - 2. Let g(h) = -h**3 - h**2 - 1. Let f(o) = -g(o) - n(o). What is the remainder when f(5) is divided by 8?
7
Suppose 4*p = 5*s + 338, -3*p + s + 172 = -p. Calculate the remainder when p is divided by 22.
21
Suppose 2*y + y = 0. Suppose 4*b - 36 = -4*c + 4, y = -3*c + 3*b + 60. Calculate the remainder when 57 is divided by c.
12
Let a(t) = 6*t**2 - t + 2. Suppose s - 13 - 2 = 0. What is the remainder when a(-3) is divided by s?
14
Let r = 21 - 6. Let v(k) = k + 21. What is the remainder when r is divided by v(-15)?
3
Suppose 7*y - 14 = 5*y. Calculate the remainder when 26 is divided by y.
5
Suppose -2*i - 5*z + 20 = 0, z + 0*z - 12 = -2*i. Suppose -2*l + i + 9 = 0. What is the remainder when (-172)/(-14) - (-4)/(-14) is divided by l?
5
Let o(a) = a + 6. Let k be o(-6). Let d(p) = -p. Let x be d(k). Suppose 2*u - 5 - 7 = x. What is the remainder when 9 is divided by u?
3
Let x(w) = 5*w**3 + 11*w**2 + 7*w - 10. Let n(k) = k**3 + k**2 - 1. Let s(u) = 4*n(u) - x(u). What is the remainder when 46 is divided by s(-6)?
10
Suppose 4*l + 1 = 5. What is the remainder when 25 is divided by 216/30 + l/(-5)?
4
What is the remainder when 18 is divided by 3/(-3*(-2)/20)?
8
Let v = -8 + 13. Suppose 0*c = v*c. Suppose c*s - 75 = -4*q + 3*s, -4*s = q - 33. Calculate the remainder when q is divided by 11.
10
Let v(k) = 7*k + 1. What is the remainder when 31 is divided by v(1)?
7
Let j = 2 - 3. Let x = 21 - j. What is the remainder when x is divided by 8?
6
What is the remainder when 44 is divided by ((-8)/12)/((-140)/69 + 2)?
21
Let n(m) = -m**3 + 6*m**2 + 9*m + 4. What is the remainder when 34 is divided by n(7)?
16
Suppose -y + 17 = l, 5*l - 2*y - 71 = -0*y. What is the remainder when 28 is divided by (-6)/(-27)*l*3?
8
Let z(q) = 2*q + 5. Let m be z(0). Let t(b) = -4*b - 7. Let j(k) = -3*k - 5. Let i(h) = -7*j(h) + 5*t(h). Calculate the remainder when i(m) is divided by 2.
1
Let r be 2 + 4 + -1 + 3. Calculate the remainder when 22 is divided by 36/(-8)*r/(-6).
4
Let z = 35 - 57. Let c = -16 - z. Let v = 10 + 7. Calculate the remainder when v is divided by c.
5
Suppose 31 = -5*m + 1016. Calculate the remainder when m is divided by 40.
37
Calculate the remainder when 7 is divided by (-6)/(-9) + 8/6.
1
Suppose 0*i - 4*i + 20 = 0. Suppose z = i*z - 92. Calculate the remainder when z is divided by 8.
7
Let x = 7 - 6. Let u = x - -5. Suppose u*o - 2*o = 156. What is the remainder when o is divided by 20?
19
Let s = -5 - -9. Let z be (-2)/(-5) + (-4)/10. Let w = z + s. What is the remainder when 7 is divided by w?
3
Let r = 63 + -1. What is the remainder when r is divided by 16?
14
Let k(g) = g - 2. Let w be k(4). Let d be 4/(-18) - 580/(-18). Suppose 2*y + w*y - d = 0. What is the remainder when 15 is divided by y?
7
Suppose 29*l = 28*l + 68. What is the remainder when l is divided by 18?
14
Suppose 4*c = c + 15. Suppose -c*r - 3 = -58. Calculate the remainder when r is divided by 4.
3
Suppose 2*o + 34 = 3*i + 3*o, 5*o + 30 = 5*i. Let x = 25 - i. Calculate the remainder when 42 is divided by x.
12
Let a be (6/(-9))/(3/(-9)). Suppose -n + 72 = a*n. Calculate the remainder when n is divided by 13.
11
Let f(y) = 2*y + 8. Calculate the remainder when 33 is divided by f(5).
15
Let d(j) = 2*j**2 + 10*j. Let l = -19 - -12