= n**2 - 4*n - 8. Calculate the remainder when r(6) is divided by u.
1
Calculate the remainder when (5*15/50)/(6/104) is divided by 10.
6
Suppose 3*n = -5*z + 17 + 12, -z = n - 9. Let k = -7 - -11. Suppose -p = -10 - k. What is the remainder when p is divided by n?
6
Let i be 6/(-12) + (-62)/(-4). Let c = 20 + -4. What is the remainder when c is divided by 9/i + (-81)/(-15)?
4
Suppose -6*s + 5*s = -15. Calculate the remainder when 27 is divided by s.
12
Let r(k) = k**3 + 14*k**2 + 25*k + 19. Calculate the remainder when 33 is divided by r(-12).
5
Let t be (-3)/4 - (-45)/12. Suppose 0 = -0*v - 4*v + 20. Calculate the remainder when -21*((-11)/t - -3) is divided by v.
4
Suppose 0*n = 2*a + 2*n + 32, 0 = a + 2*n + 14. Let b be a/(-15)*(-10)/3. Let f = 10 - b. What is the remainder when f is divided by 8?
6
Let f(v) be the first derivative of -v**3/3 + 5*v**2 - 7*v + 1. Calculate the remainder when 40 is divided by f(7).
12
Suppose -54 = -j + 5*k, -3*j + 7*j = -5*k + 91. Calculate the remainder when 111 is divided by j.
24
Let w = -12 + 53. Suppose 28 = -10*i + 12*i. What is the remainder when w is divided by i?
13
Let h be 3/(-4) + 5/(-4). What is the remainder when 4 is divided by (0 + h)*(-1 + 0)?
0
Let p = 36 - 20. Suppose -p*h - 54 = -19*h. What is the remainder when 68 is divided by h?
14
Let h(z) = z**3 - 4*z**2 + 3*z + 3. Let k(s) = -23*s**3 + 2*s**2 - 1. Let o be k(-1). Suppose -5*q + 64 = o. What is the remainder when h(4) is divided by q?
7
Let r(u) be the third derivative of -u**4/24 + u**3 + 2*u**2. Let a be r(0). Suppose 0 = -3*m + a + 18. Calculate the remainder when 31 is divided by m.
7
Let j = -7 - -13. Let g(l) = -l + 2. Let y be g(-6). Let z = y - j. What is the remainder when 2 is divided by z?
0
Let v(b) = 14*b**3 - b**2. Let c(z) = -z**2 - 7*z - 6. Let m be c(-4). Let y(h) = h**2 - 6*h + 5. What is the remainder when v(1) is divided by y(m)?
3
Let k(r) = r**2 - 6*r - 10. What is the remainder when k(11) is divided by 23?
22
Let c be 3 + (-9)/(6/(-2)). Suppose -c*h + 20 = -h. Suppose -h*r + r + 126 = -3*a, 46 = r - 3*a. Calculate the remainder when r is divided by 14.
12
Suppose -2*f - 1 - 3 = 0, -3*s - 5*f = -35. What is the remainder when s is divided by 9?
6
Suppose 3*m = -3*q + 18, 2*m + 3*m = -2*q + 24. Suppose -5*x + 45 + 1 = 4*w, 0 = 5*x - w - 26. What is the remainder when x is divided by m?
2
Let i(w) = w**3 - 2*w - 1. What is the remainder when i(4) is divided by 29?
26
Let z(v) = 2*v**2 + 2*v - 20. Calculate the remainder when 119 is divided by z(-6).
39
Let h(n) = -8*n - 25. Let x(p) = 4*p + 12. Let z(c) = -2*h(c) - 5*x(c). Calculate the remainder when 36 is divided by z(-5).
6
Let k = 0 + 0. Let g(o) = -o**2 - o + 4. Let y be g(k). Suppose 3*f = y + 14. Calculate the remainder when f is divided by 4.
2
Suppose -5*l = -x + 51, -3*l + 27 = -x + 2*x. What is the remainder when x is divided by 19?
17
Suppose 0 = -3*g - 4*u + 42, 20 = g - 3*u - 7. Suppose 0 = 5*n - 0*n - 175. What is the remainder when n is divided by g?
17
Suppose -5*z + 0*z + 60 = 0. Suppose 3*q = 4*q - 7. What is the remainder when z is divided by q?
5
What is the remainder when 5 is divided by (-26)/(-7) - (-22)/77?
1
Calculate the remainder when 104 is divided by 4 - (0 + 6) - (1 - 57).
50
Calculate the remainder when 6/(-45) + (-1654)/(-30) is divided by 20.
15
Let u be 1*15/(-9)*-3. What is the remainder when 34 is divided by (-2)/u + 47/5?
7
Let r(c) = -c**2 - 7*c. Let x be r(-6). Let u = 1 + x. Let a = -109 + 121. What is the remainder when a is divided by u?
5
Suppose -2*q = -6*p + p - 10, -5*q - 4 = 2*p. Suppose q = -i - s + 65, -s + 6 = -3*s. Calculate the remainder when i is divided by 23.
22
Let t(h) = -h**3 - 4*h**2 - 3*h + 2. Let b be t(-3). Suppose 0 = -3*q + 3*m + 78, -2*q = b*q - 2*m - 110. What is the remainder when q is divided by 10?
9
Suppose -8*x + 270 + 290 = 0. Suppose -138 = -4*s - 42. Calculate the remainder when x is divided by s.
22
Let q be 1/(0 + 3/15). Suppose d = -0*d - 2*t + 7, -4*d + 19 = q*t. What is the remainder when 1/d*(4 + -1) is divided by 2?
1
Suppose 5*w + 42 = 172. Let c(t) = t**3 - t + 6. Let a be c(0). Suppose 0 = q - i - a, -32 - 16 = -5*q - i. Calculate the remainder when w is divided by q.
8
Let p be ((-3)/(-6))/((-2)/(-40)). Let g = 14 - p. Calculate the remainder when g is divided by 2.
0
Let h = -8 - -5. Let c = 38 + h. Suppose -4*k + c = -17. Calculate the remainder when k is divided by 5.
3
Calculate the remainder when 62 is divided by (0 - (-12)/10)/(42/560).
14
Let q(u) = 225*u**2 + 12*u - 12. Calculate the remainder when q(1) is divided by 57.
54
Let h = 129 - 94. What is the remainder when 65 is divided by h?
30
Suppose -5*z + 39 = 2*g, -30 = -5*z - 0*z - 5*g. Let v = 46 + -31. What is the remainder when v is divided by z?
6
Let s(c) = -c**2 - 3*c + 6. Suppose 5*u + 15 = 2*u. Let t be s(u). Calculate the remainder when 12 is divided by (-29)/(-4) + t/16.
5
Let g = -13 + 23. Calculate the remainder when 42 + (-6)/5*(-20)/(-6) is divided by g.
8
Let a(t) = 2*t + 32. Calculate the remainder when 4 is divided by a(-15).
0
Suppose l - 3*m = -2*l + 15, -2*l - 2*m - 10 = 0. Suppose 5*v - 15 - 100 = l. Calculate the remainder when v is divided by 13.
10
Let q = 1 + 26. Calculate the remainder when q is divided by 10.
7
Let o(b) = 40*b + 266. Let j be 2/((-2)/4 + 1). Suppose -t + 4*t = j*u + 251, -3*t = -5*u - 256. Calculate the remainder when t is divided by o(-6).
25
Let h = 130 + -92. Calculate the remainder when 227 is divided by h.
37
Suppose 8*l = 5*l - 30. Suppose -2*s + 3*g - 19 = -3*s, 0 = 2*s - 3*g - 29. Let t = s + l. What is the remainder when 10 is divided by t?
4
Suppose 0 = 2*w + 4*t - 41 - 5, -t = -w + 17. What is the remainder when w is divided by (5 - 7) + (-14)/(-2)?
4
Suppose -2 = -3*j + h - 1, h = -3*j - 7. Let w be -1 + 0/j - -75. Suppose -3*l = -5*y - w, y = -3*l + 13 + 73. Calculate the remainder when l is divided by 15.
13
Suppose -145 = -4*q + 7. What is the remainder when q is divided by 8?
6
Suppose -5*h + 103 + 32 = 0. Let c(g) = 4*g - 11. Let v be c(8). Let o = 28 - v. Calculate the remainder when h is divided by o.
6
Let z = -9 + -3. Suppose 4*x = -6 - 10. Let h = x - z. What is the remainder when h is divided by 3?
2
Let f = 11 + -7. What is the remainder when 19 is divided by f?
3
Let c = 6 + -2. Suppose 0 = 4*z - z - 2*f - 49, -c*z = 3*f - 54. Calculate the remainder when z is divided by 9.
6
Let j = 3 - 1. What is the remainder when j is divided by 1?
0
Suppose -7*j + 2*b = -2*j - 81, 4*j = 2*b + 66. What is the remainder when 134 is divided by j?
14
Suppose -2*r = -5*r. Suppose -4*u + r*u + 5*h + 68 = 0, 5*u - 3*h = 72. Calculate the remainder when 21 is divided by u.
9
Let w(h) = -2*h - 3. Let p be w(-4). Suppose -p - 9 = -f. What is the remainder when f is divided by 5?
4
Let x = -10 - -21. Suppose x = -4*l + 31. Calculate the remainder when 8 is divided by l.
3
Suppose 2 = -4*x - j + 48, -40 = -4*x + 2*j. What is the remainder when x is divided by 2?
1
Let f(l) = -l**2 + 8*l - 6. Let w be f(6). Let j = w + 11. Suppose -2 = a, -n + 2*a + 35 = a. What is the remainder when n is divided by j?
16
Let j(i) = i**3 - 2*i**2 - 3*i - 1. What is the remainder when j(5) is divided by 16?
11
Suppose y = 4*y. Suppose 2*v + 4*j + 4 = y, -v + j - 4*j - 5 = 0. Calculate the remainder when 11 is divided by v.
3
Suppose -13 + 1 = -3*m. Suppose 4*c - 52 = 16. Calculate the remainder when 198/m - (-6)/12 is divided by c.
16
Suppose 144 + 98 = 11*l. What is the remainder when l is divided by 8?
6
Suppose 0 = 2*f + 2*f. Let k(j) = j**2 + j**3 + j + 4*j + 8 - 4*j. Calculate the remainder when 14 is divided by k(f).
6
Let u = 91 - 20. What is the remainder when u is divided by 24?
23
Let l = 3 - 0. Suppose 3*m - l*w - 30 = 0, w = 5*w - 8. What is the remainder when 34 is divided by m?
10
Let n(w) be the second derivative of 0 - 1/6*w**3 - 3*w + 0*w**2 + 1/6*w**4. Calculate the remainder when n(4) is divided by 15.
13
Let o be 3/(1 - -8)*6. Suppose -100 = -0*v - o*v. What is the remainder when v is divided by 13?
11
Let b(n) = 2*n + 15. What is the remainder when 85 is divided by b(7)?
27
Suppose g + 4*g - 15 = 0. Let i(c) = 7*c**2 + c - 4. What is the remainder when i(g) is divided