uppose 4*a - d = 47, -3*d - 3 = -2*d. Suppose -g + 6*g - 25 = 0, -4*h = -3*g + a. Suppose -u + 11 = h. Calculate the remainder when u is divided by 4.
2
Suppose 3 = 2*o + 5*n, -3 + 8 = o - n. What is the remainder when (-6)/3*(-14)/o is divided by 3?
1
Suppose -3*c + 82 = 19. What is the remainder when c is divided by (-4 + 15/5)*-11?
10
Suppose -3*g + 68 = -1. Suppose 58 + 32 = 2*u. Calculate the remainder when u is divided by g.
22
Let n(f) = -f**3 - f + 2. Let b be n(2). Let a(i) = -3*i - 11. What is the remainder when a(b) is divided by 7?
6
Let g(p) = -6*p + 1. Let z be g(-2). Suppose 32 = -u + 2*u + 5*t, -49 = -2*u + 5*t. Let l = u - z. What is the remainder when 26 is divided by l?
12
Let w(m) = -4*m**3 + m**2 + 4*m - 4. Calculate the remainder when w(-3) is divided by 34.
33
Suppose -20*r + 335 = -15*r. What is the remainder when r is divided by 35?
32
Let n = 3 - 1. What is the remainder when n is divided by 6*(1/(-3))/(-1)?
0
Suppose -2*h + 5*n - 89 = -4*h, 5*h - 231 = -4*n. What is the remainder when h is divided by 10?
7
Suppose -5*z + o + 26 = -86, 57 = 3*z - 4*o. Calculate the remainder when z is divided by 5.
3
Suppose 5*x - 7*q + 3*q = 373, -5*x = 4*q - 357. What is the remainder when x is divided by 19?
16
Suppose -5*x + 0*x = -10. Let n = x - -1. What is the remainder when 8 is divided by n?
2
Let d be ((-2)/(-6))/((-2)/(-18)). Suppose 0 = -d*x - 0*x - 51. Let p = x - -30. What is the remainder when p is divided by 7?
6
Let i(y) = 2*y**2 + 9*y - 60. Calculate the remainder when i(-10) is divided by 13.
11
Let u(k) = 4*k - 23. What is the remainder when u(7) is divided by 2?
1
Suppose -2*p = -47 + 3. Suppose 5*q - 4*q = p. Suppose 6 = r + 2*b - 14, -4*r = -4*b - 32. What is the remainder when q is divided by r?
10
Let y(b) = b**3 + b**2 - 4*b + 2. Calculate the remainder when y(4) is divided by 17.
15
Let c(v) = v + 5. Let d be c(-6). What is the remainder when (1 + 6)/(d/(-4)) is divided by 10?
8
Let u = -535 - -782. Calculate the remainder when u is divided by 50.
47
Let m(d) = -d**3 - 5*d + 2. Let i be m(3). Let l = i + 22. What is the remainder when 1/(-3)*-3 - l is divided by 7?
5
Suppose -4*v + 35 = -y, -5*v - 5*y + 12 = -13. What is the remainder when 10 is divided by v?
2
Let c = 4 + 2. Let v = 17 + -7. Calculate the remainder when v is divided by c.
4
Let b = 4 - 3. Let u be -2 + (1 - b/(-1)). Suppose u*x + 36 = 3*x. Calculate the remainder when 35 is divided by x.
11
Let d be 171 + 12/((-4)/(-1)). Let q = d + -101. What is the remainder when q is divided by 19?
16
Let m(a) = 0*a + 5*a - 7 - 3*a. Let x be m(5). Let z(r) = r**3 - 3*r**2 + 3*r + 4. What is the remainder when 49 is divided by z(x)?
10
Let y(d) = -5*d - 57. What is the remainder when 101 is divided by y(-14)?
10
Suppose 0 = -3*p + 36 + 51. What is the remainder when 109 is divided by p?
22
Suppose -5*l + 110 = -0. Suppose -5*w - l = -4*u, -2*u + 0*u = 3*w - 22. Calculate the remainder when 23 is divided by u.
7
Suppose -4*l - 2 = -2*a, 3*a + 1 = -8. Let t(c) = -3*c**3 - 2*c**2 - c + 1. Suppose 5*b - 1 - 34 = 0. What is the remainder when t(l) is divided by b?
5
Suppose 13*y - 58 = 33. Calculate the remainder when y is divided by 4.
3
Suppose -3*m = -4*m. Suppose 4*b = -3*p + 17, -3*p - p - b + 14 = m. Suppose 4 - 16 = -p*l. What is the remainder when 11 is divided by l?
3
Let j be (-1)/(-2) + 93/6. Suppose 3*n = 5*n - j. Calculate the remainder when 22 is divided by n.
6
Let q be 1052/22 - 8/(-44). Let t = q + -29. What is the remainder when 55 is divided by t?
17
Suppose -50 = -5*v + 15. Calculate the remainder when 37 is divided by (v/(-3))/(7/(-21)).
11
Let q = 218 - 114. Calculate the remainder when q is divided by 35.
34
Let j = 4 + 21. Calculate the remainder when j is divided by 9.
7
Let x(d) = -d**2 + 17*d - 51. Let r = -2 + 7. Let w = 3 + r. What is the remainder when x(6) is divided by w?
7
Suppose f - 5*y + 5 = 0, -f + 3 = y - 4. What is the remainder when 19 is divided by f?
4
What is the remainder when 94 is divided by 22/(-8) + 3 - 195/(-4)?
45
Let z(f) = 4*f - 2. Suppose -4*r + 4 = 0, -4*w + 3 = -3*r + 74. Let j = -11 - w. What is the remainder when 65 is divided by z(j)?
21
Suppose -5*z - 14 - 1 = 0, 0 = -4*i - 5*z - 3. Let q = i - 18. Calculate the remainder when 132/5 - (-6)/q is divided by 9.
8
Let u = 11 - -17. Let i(n) = 2*n**2 + 4*n + 4. Suppose -3*j + 7*j = 5*h + 11, -j = -4*h - 11. What is the remainder when u is divided by i(h)?
8
Let v(i) = -15*i - 5. Let u be 6/(2 - (-14)/(-6)). Let a be 188/(-36) - 4/u. What is the remainder when v(a) is divided by 24?
22
Let h = 2 - -8. Calculate the remainder when (-5)/(-30) - (-214)/12 is divided by h.
8
Calculate the remainder when 112 is divided by 414/14 - 48/84.
25
Suppose 0*j = -8*j + 184. Calculate the remainder when 111 is divided by j.
19
What is the remainder when ((-4)/10)/((-1107)/(-555) + -2) is divided by 19?
17
Suppose -a = 7 - 0. Let s(c) be the first derivative of -c**2 - 7*c - 1. What is the remainder when 20 is divided by s(a)?
6
Let r be (4 + -1)/(3/52). Suppose -6*v - 11 = -29. Suppose v*w - r = -w. What is the remainder when 38 is divided by w?
12
Suppose 0 = -4*p - 5*a + 7, 5*p - a = 4*a + 65. Let k = 12 - p. Calculate the remainder when 15 is divided by k.
3
Let o be ((-16)/10)/((-9)/405). Let i = -50 + o. What is the remainder when i is divided by 12?
10
Let x be -1*7 - (-6 + 6). Let v = -5 - x. Calculate the remainder when 6 is divided by v.
0
Suppose 4*t - 276 = 64. Calculate the remainder when t is divided by 22.
19
Let l(c) = 3*c**3 - 2*c. Calculate the remainder when 289/10*2 - (-1)/5 is divided by l(2).
18
Let v(q) = -2*q - 5. Let k(y) = y + 2. Let p(b) = -13*k(b) - 6*v(b). What is the remainder when p(-5) is divided by 1/(-4) - 63/(-12)?
4
Let w(h) = -16*h**3 - h**2 - h - 1. Suppose -m + 3*g + 15 = 0, -4*m + 3*g + 121 = 25. Calculate the remainder when m is divided by w(-1).
12
Let h = 74 - 44. Let o = 97 + -55. Suppose -2*z + o = 10. What is the remainder when h is divided by z?
14
Let x = -11 - -15. Suppose x*g = g + 33. What is the remainder when g is divided by 4?
3
Suppose -5*d + 4 = -6. Calculate the remainder when 34 is divided by (-8)/3*(-9)/d.
10
Suppose 3*r + 2*y = -1, 3*r - 2*y - 29 = 2*y. Suppose -j + 4*q + 14 = 0, -44 = -r*j - q - 15. Calculate the remainder when 18 is divided by j.
8
Suppose -5*r + 69 + 46 = 0. Suppose -5*l - 59 = -284. What is the remainder when l is divided by r?
22
Let k(o) = o**2 + 2. What is the remainder when (207 - 0)*1/3 is divided by k(4)?
15
Let h(x) = -4*x - 1. Let o(y) = y**3 + 5*y**2 - 3*y + 3. Let b(s) = -4*s**2 - s + 1. Let g be b(1). What is the remainder when o(g) is divided by h(-3)?
9
Let k = 225 - 117. What is the remainder when k is divided by 37?
34
Suppose 2*v = -2*v + 252. What is the remainder when v is divided by 22?
19
Let f be (-2 + (-8)/(-3))*15. Let c(y) = y - 2. What is the remainder when 29 is divided by c(f)?
5
Let c(h) = h + 8. Let z be c(-6). Suppose z*v + v - 21 = 0. Suppose 3*i = v*i - 20. What is the remainder when i is divided by 3?
2
Suppose k - 4*s - 153 = 0, 4*k = -k - 4*s + 765. Calculate the remainder when k is divided by 52.
49
Suppose 0 = -4*g + 1 + 7. Let o = -2 + -7. What is the remainder when (9/6)/(o/(-12)) is divided by g?
0
Let c = 100 - 44. Suppose -4*s + c + 108 = 0. What is the remainder when s is divided by 22?
19
Let j(c) = -13*c + 3. Let o be j(3). Let s = 50 + o. Calculate the remainder when 25 is divided by s.
11
Let s(u) = -u**3 + 6*u**2 - 4*u - 5. Let x be s(5). Suppose x = t + t - 76. Calculate the remainder when t is divided by 13.
12
Suppose -2*a = -v - 4, a + 3 = -2*v - 0. Let u(c) be the second derivative of c**4/4 - c**3/6 + c. What is the remainder when u(v) is divided by 5?
4
Let n = 24 - 10. Let s(j) = 7*j - 3. Let d(u) = 2*u - 6. Let r be d(6). What is the remainder when s(r) is divided by n?
11
Let c(j) = -j + 12. Let v be c(12). Let p = v + 10. What is the remainder when p is divided by 3?
1
Let o(p) = 2*p**2 + p. Let a be o(-1). Let s = a + 4. Suppose 21 = u + b, u + 108 = s*u - 2*b. Calculate the remainder when u is divided by 13.
12
Suppose -132 + 522 = 10*w. What is the remainder when 231 is divided by w?
36
Calculate the remainder when 3*1 - (-8 - 