 - 2. Let h be w(4). Let r = h + 6. Calculate the remainder when q is divided by r.
11
Suppose 8 = -7*c + 3*c. What is the remainder when 2*172/(-16)*c is divided by 23?
20
Suppose -z = -v + 5*v + 33, -2*v - 4*z - 34 = 0. Calculate the remainder when -62*(-4 + v/(-2)) is divided by 17.
14
Let v = -63 - -75. What is the remainder when 47 is divided by v?
11
Let g = 388 + -348. Suppose -5*v = -7*v - 12. Calculate the remainder when g is divided by (6/(-4))/(v/56).
12
Let v = 30 + -21. What is the remainder when 2/6 + (-222)/(-9) is divided by v?
7
Let d(b) = b**3 - 6*b**2 + b - 6. Let h be d(6). Suppose 0 = -h*p + 3*p - 36. Calculate the remainder when 22 is divided by p.
10
Suppose 2*k = -4*f + 30, 3*f = -2*k - 2*k + 80. Let v = k + -14. What is the remainder when 22*1/2*3 is divided by v?
6
Suppose 2*c = 5*q + 117, 3*c = -2*c + 2*q + 282. What is the remainder when c is divided by 29?
27
Suppose 7 = 2*y + 3. Suppose y*h = 4*h - 32. Calculate the remainder when 18/(-6)*62/(-6) is divided by h.
15
Suppose 4*v = 3 + 25. Let g = 15 + -3. Calculate the remainder when g is divided by v.
5
Suppose -68 = -4*k + 3*b, -3*k + 3*b - 5*b = -51. What is the remainder when k is divided by 10?
7
Suppose -57*t = -61*t + 4. Suppose -2*f - 1 = -3. Calculate the remainder when t is divided by f.
0
Let p(s) = 5*s - 57. What is the remainder when p(23) is divided by 20?
18
Suppose -3*x = -0*m + 5*m - 179, 0 = 3*x + 6. What is the remainder when 184 is divided by m?
36
Let y be (-7)/((-98)/20)*7. What is the remainder when 29 is divided by (15/y)/((-6)/(-64))?
13
Let k(a) = -a**2 - 5*a - 1. Suppose -2*x - 4 = -x. Let u be k(x). Suppose 25 - 10 = u*c. What is the remainder when 9 is divided by c?
4
Let d(p) = -17*p - 8. What is the remainder when d(-4) is divided by 21?
18
Let q = -90 + 96. Let b = -21 - -36. Calculate the remainder when b is divided by q.
3
Let n = -246 - -154. Let v = n - -152. Calculate the remainder when v is divided by 31.
29
Let b(y) = 3*y + 22. What is the remainder when 5 is divided by b(-6)?
1
Suppose -5*n = 0, n - 65 = -5*c - 2*n. Suppose 2*b = c + 5. Let u = 38 + -13. What is the remainder when u is divided by b?
7
Suppose 2*v = -2*v - 3*c + 32, -5*c - 16 = -2*v. Let n = v - 0. Suppose 4*t - 44 - n = 0. Calculate the remainder when t is divided by 7.
6
Let o = 3 - -26. Let m(p) be the second derivative of p**4/12 - p**3/2 + 5*p**2/2 + 2*p. Calculate the remainder when o is divided by m(5).
14
Let s = -107 - -116. What is the remainder when 11 is divided by s?
2
Let f(d) = -d**3 - 9*d**2 - 8*d + 1. Let g be f(-8). Let r(x) = -g + 2*x**3 + 0*x + 3*x + x - 4*x**2. Calculate the remainder when r(3) is divided by 10.
9
Suppose 25 = -5*d, -t - 5*d = 27 - 4. Suppose -4 = -3*w + 2. Suppose 0 = w*i - 0*i - 4. What is the remainder when t is divided by i?
0
Let r be (1 - 0)*7*1. Let s = r - 5. Suppose 4*t - 2 = y + 4, -2*y = s*t - 28. Calculate the remainder when 29 is divided by y.
9
Suppose -c = -0*c + 2. Let a be ((-99)/(-6))/(1/c). What is the remainder when (33/(-9) + 3)*a is divided by 12?
10
Let r = 69 + -30. What is the remainder when r is divided by 10?
9
Let j(f) = 3*f**2 + 8*f + 2. Let o be j(-6). Suppose -4*s + o = -3*y + 13, -3*s + 23 = -5*y. What is the remainder when 63 is divided by s?
15
Let c(n) = n**2 - n + 5. Let z = 5 + -5. Let t be c(z). Suppose -l - 2*l + t*u + 1 = 0, 0 = -l - 2*u + 15. Calculate the remainder when l is divided by 3.
1
Suppose -3*o + 1 - 16 = 0. Let h = o - -2. Let x = h - -6. What is the remainder when 4 is divided by x?
1
Let y(n) = 15*n + 4. What is the remainder when y(9) is divided by 36?
31
Suppose 0 = 10*o - 195 + 15. What is the remainder when o is divided by 14?
4
Suppose 0 = -4*g + 141 - 1. What is the remainder when g is divided by 18?
17
Let r(q) = -q**3 - 14*q**2 - 14*q + 4. Let y be r(-13). Let m = 33 - y. Calculate the remainder when m is divided by 6.
4
Suppose 0*x + 4 = x. Let b be 2/(-4) + 66/4. Let r = b - x. What is the remainder when 23 is divided by r?
11
Let o = -297 - -528. Suppose 3 = -4*c + 5*c, -o = 3*t + 3*c. Let x = t + 120. What is the remainder when x is divided by 14?
12
Let n = -69 - -133. Let d = n + -37. Calculate the remainder when d is divided by 10.
7
Let i(y) be the third derivative of -y**6/120 + 3*y**5/20 - y**4/12 - y**3/3 + 4*y**2. What is the remainder when i(8) is divided by 12?
10
Let i = -62 + 94. What is the remainder when i is divided by 18?
14
Let k = 41 - 26. Let a(b) = -8*b - 4. Let o = 12 - 18. What is the remainder when a(o) is divided by k?
14
Suppose -24 = -5*g - 4*h + 3*h, 2*g = -2*h + 16. Suppose 5*l - g = 2*m, -5*l + 28 = 8. What is the remainder when m is divided by 5?
3
Suppose -v - 5*d = -28, -v - 2*d = 4*v - 71. What is the remainder when v is divided by 8?
5
Suppose -r + 4 = -6. What is the remainder when 58 is divided by r?
8
Let l = 2 + -2. Suppose -2*v + 14 = 4*m, -3*m + 4*v = -v + 9. Calculate the remainder when m - (-2 - l/(-3)) is divided by 2.
0
Suppose 0 = -3*w - 2 + 26. What is the remainder when w is divided by 3?
2
Suppose -3*u + 58 = 2*u - 3*t, 7 = u + 4*t. Suppose 0 = i - 2 - 20. What is the remainder when i is divided by u + (3/1 - 2)?
10
Let w be (-31)/(-3)*(-6 + 12). Let t = w + 37. Calculate the remainder when t is divided by 25.
24
Suppose 0*u = -3*u - 3*f + 75, 2*u = -5*f + 35. Suppose 14 = -o + 2*o - 3*s, -5*o + 5*s = -u. Calculate the remainder when 4 is divided by o.
0
Let f(v) = v**3 - 21*v**2 + 23*v - 16. Calculate the remainder when f(20) is divided by 15.
14
Calculate the remainder when -2 + (-231)/(1 - 4) is divided by 19.
18
Let n(r) = 5*r + 0 + r**2 + 2*r + 1 - 4*r. Calculate the remainder when 32 is divided by n(-5).
10
Suppose -y + 14 = 3*p, 5 = y - 6*y. Calculate the remainder when 19 is divided by p.
4
Suppose 0 = -2*u + 2*f + 2, f - 2 + 5 = 0. What is the remainder when (-72)/2*1/u is divided by 10?
8
Suppose -2*u = -1 - 71. Let b(q) = -q**3 + 4*q**2 - 3*q + 3. Let k be b(3). Calculate the remainder when u is divided by (1/(-1))/(k/(-57)).
17
Let s be (10/4)/((-3)/(-6)). Let w = s + -5. Suppose 5*f = -w*f + 5. What is the remainder when 1 is divided by f?
0
Let b be -1 - 4/(-8)*6. Let t(h) = -h + 9. Let c be t(-7). Suppose -c - 24 = -b*w. Calculate the remainder when w is divided by 11.
9
Suppose 26 - 6 = 4*a. Calculate the remainder when 12 is divided by a.
2
Let s(d) = 7*d - 7. Let c be s(4). What is the remainder when 41 is divided by 6/4*154/c?
8
Suppose 64 = 5*k - 3*k. Suppose -3*z + k = g, 3 = z + 5. What is the remainder when g is divided by 20?
18
Let j = 5 - -6. What is the remainder when j is divided by 1*6*50/75?
3
Let d(a) = -4*a**3 - 3*a**2 + 2*a - 1. Let o = 110 - 29. Suppose -3*b = -3*n + o, n + 4*b + 1 = 18. What is the remainder when d(-3) is divided by n?
24
Let i = -5 - 0. Let l = i + 10. Suppose 3*f + u = 106, u + 132 = -f + l*f. Calculate the remainder when f is divided by 12.
10
Let z(x) = -2*x + 14. Calculate the remainder when 4 is divided by z(6).
0
Suppose -11*v + 7*v = -48. What is the remainder when 47 is divided by v?
11
Let y(v) = -6*v**3 - 4*v**2 - 2*v + 2. Suppose -a = 4*a + 10. Calculate the remainder when y(a) is divided by 20.
18
Suppose 5*y - 4*p = 3 + 1, -5*y + 8 = -3*p. Suppose 0 = r + 1 - y. Let u = -1 + r. Calculate the remainder when 3 is divided by u.
1
Suppose 2*d - 34 = 4*r, -8*d + 3*d = -2*r - 101. Calculate the remainder when 83 is divided by d.
20
Let b(r) = r - 1. Suppose 15 = -g + 4*g. Let x be b(g). Calculate the remainder when (-56)/(-21)*6/x is divided by 3.
1
Let s(w) = -2*w**2 - 9*w - 7. Let h(z) = -3*z**2 - 2*z**2 - 10*z - 7 + 2*z**2. Let d(m) = 3*h(m) - 4*s(m). What is the remainder when 19 is divided by d(6)?
5
Suppose -6*t = -t. Suppose w + 3*w - 212 = t. What is the remainder when w is divided by 18?
17
What is the remainder when 4/2 + -8*(-3 + 1) is divided by 10?
8
Let g(d) = d**3 + 8*d**2 + 5*d + 8. Let j be g(-7). Suppose 0 = -3*x + 4*x - j. What is the remainder when 85 is divided by x?
19
Let g(q) = -q**3 + 7*q**2 + 8*q - 16. What is the remainder when 78 is divided by g(7)?
38
Let n be 12/18 + 43/3. Let i = 18 - n. Suppose 5*t = 3*t + 16. What is the remainder when t is divided by i?
2
Suppose x + 2*d + 16 = 4, -d - 4 = 0. Let j = -10 - x. Calc