 is the remainder when h is divided by (p + 2)/(-3) - -2?
0
Suppose -2*l + 4*h + 20 = 0, -3*l - 5*h + 35 = -10*h. Suppose 2*s - 4 = 2*f, 1 = -2*s + 3*s. What is the remainder when (2/f)/(-1) + 96 is divided by l?
18
Suppose 14*l - 105 = 9*l. Let j be ((-49)/2)/((-1)/2). Let m = j - l. Calculate the remainder when m is divided by 15.
13
Suppose 0 = -16*f + 47 + 97. What is the remainder when 87 is divided by f?
6
Let b(h) = -5*h + 10. Let u be b(4). What is the remainder when (-78)/(-7) + u/70 is divided by 3?
2
Let r(m) = -m - 3. Let a(d) = -d**3 - 6*d**2 + 9*d + 7. Let c be a(-7). Calculate the remainder when 5 is divided by r(c).
1
Suppose 61*g - 20736 = 41423. Calculate the remainder when g is divided by 11.
7
Let t(h) = h**3 - 15*h**2 + 17*h - 7. Let l = 57 - 91. Let q = -20 - l. What is the remainder when t(q) is divided by 9?
8
Suppose -186 = -3*m + 2*b - 3*b, 0 = 5*b - 15. Calculate the remainder when 482 is divided by m.
55
Suppose -41*n + 33*n + 152 = 0. Calculate the remainder when 128 is divided by n.
14
Suppose 744*j = 745*j - 3. Calculate the remainder when 12 is divided by j.
0
Let v = 348 + -341. What is the remainder when 89 is divided by v?
5
Let g = 633 + -373. What is the remainder when g is divided by 19?
13
Let t = 24 - 14. Let v be 12*4*(-3)/(-36). Calculate the remainder when -38*2*(-1)/v is divided by t.
9
Let a(k) be the third derivative of k**4/12 + 3*k**3/2 - 2*k**2. Let u(j) = j**2 + 16*j - 26. Let h be u(-18). What is the remainder when 56 is divided by a(h)?
27
Let g(r) = -4 + 5*r**2 + 47*r - 52*r - r**3 + 2*r**3. Let j be g(-6). Calculate the remainder when (-2)/j + (-736)/(-20) is divided by 19.
18
Let i(d) = -d**3 + 15*d**2 - 6*d - 30. What is the remainder when i(13) is divided by 59?
53
Suppose -4*w = 3*c + 155 - 32, 5*w + 130 = c. Let b = 27 + w. Suppose b*g + 5 = g. What is the remainder when 23 is divided by g?
3
Let q(f) = 72*f - 17. What is the remainder when q(3) is divided by 8?
7
Let t = -65 - -101. Suppose -t = -4*s - 4*c, -2*c - 37 = -4*s - 5*c. Calculate the remainder when (-3)/5 - (-196)/s is divided by 10.
9
Let f be (-8)/(-6)*(-25 + 22). Let w = -50 + 71. What is the remainder when (-1)/f + (-1914)/(-24) is divided by w?
17
Suppose 3 = 3*a - 21. Let o = -81 - -46. Let y = o + 64. What is the remainder when y is divided by a?
5
Let n = -10 - -10. Suppose 2*r = -3*k + 14, n*k = 5*k - 2*r - 18. Suppose v = k*a + 5*v - 92, a - 5*v = 23. Calculate the remainder when 89 is divided by a.
20
Suppose 0 = 16*a + a - 2652. Calculate the remainder when a is divided by 40.
36
Let x = 13 - 14. What is the remainder when 74 is divided by x + 12/(-10)*80/(-6)?
14
Let i(l) = -l - 7. Let u(j) = j + 8. Let s(w) = 2*i(w) + 3*u(w). Suppose 0 = -d + 5 - 1. Calculate the remainder when d is divided by s(-7).
1
Let t be (0 + 0 + -2 - -3)/1. Calculate the remainder when 37 is divided by 16*t - (-9)/(-21)*7.
11
Suppose u + 2 = -2*v - 5, 0 = 2*v - 3*u - 13. Let g = 5 + v. Let r = -1571 + 1576. What is the remainder when r is divided by g?
1
Let x = 37 + -27. Calculate the remainder when (-5)/(-10)*-8 + x is divided by 3.
0
Let z = 8 - 5. Let x = -5 - z. Let d = x - -39. Calculate the remainder when d is divided by 16.
15
Let i(y) = -y**2 + 6*y - 3. Let a be i(2). Suppose -f - 23 = a*k, 2*k = -f + k - 3. What is the remainder when 20 is divided by f?
0
Let o(r) = -2*r**2 - 15*r + 17. Let b be o(-7). What is the remainder when (2 + 0 - 3)*-29 is divided by 2/(3*2/b)?
5
Suppose 150*i = 154*i - 28. Suppose 2*v - 6 = -0. What is the remainder when i is divided by v?
1
Let a = -77 - -127. Let p(c) = -2*c**3 - 2*c**2 - 18*c - 33. What is the remainder when a is divided by p(-2)?
6
Let m = -7 + 7. Suppose 3*l + n - 47 = m, 0*l = 3*l + 2*n - 43. What is the remainder when l is divided by 1 - -1 - (-7)/1?
8
Suppose 2*k - 3*n - 49 = 0, 10*n = -3*k + 5*n + 102. Suppose 0 = -0*f + 6*f - 90. What is the remainder when k is divided by f?
14
Suppose 49 = -g + 71. What is the remainder when 41 is divided by g?
19
Suppose -2*j - 4*p + 288 = 0, 3*j = -8*p + 9*p + 404. What is the remainder when j is divided by 46?
44
Suppose 5 = 2*x - 0*a + 3*a, -5*x - 3*a - 10 = 0. Let y = -7 - x. Let l = y - -5. Calculate the remainder when 5 is divided by l.
2
Let a = -1074 + 1396. Calculate the remainder when a is divided by 108.
106
Suppose -22*u - 145 = -2235. Calculate the remainder when u is divided by 43.
9
Suppose -94 = 25*a - 23*a. Let m(p) = p**3 - 5*p**2 + p - 1. Let t be m(5). Let b = t - a. Calculate the remainder when b is divided by 26.
25
Suppose 6*o = 15 + 9. Let c(n) = 4*n**3 - 3*n**2 - 6*n - 7. Calculate the remainder when c(o) is divided by 36.
33
Let m = -646 - -986. Suppose 3*l + m = 7*l. Let c(b) = -5*b**2 - 35*b - 8. What is the remainder when l is divided by c(-6)?
19
Let a(k) = 3*k + 1. Let j be 36/10 - 6/(-15). Let g(x) = x**3 - 3*x**2 - x - 7. Let r be g(j). What is the remainder when 28 is divided by a(r)?
12
Let c be (-36)/48 - (-10)/(-8). Let s(x) = -1. Let d(a) = -3*a - 10. Let t(n) = c*s(n) + d(n). What is the remainder when t(-20) is divided by 14?
10
Suppose 0 = 6*o - 37*o + 10230. Calculate the remainder when o is divided by 56.
50
Let d = 2311 + -2261. Calculate the remainder when 152 is divided by d.
2
Let j(c) = 2*c**3 - 16*c**2 - 18*c + 17. What is the remainder when 48 is divided by j(9)?
14
Let z(s) = 2*s**2 - 20*s - 44. Calculate the remainder when 202 is divided by z(14).
66
What is the remainder when (7 - 0)/7 - -9 is divided by 9?
1
Suppose 1148 = 11*o - 106. Calculate the remainder when o is divided by 15.
9
Let l = -4 - -6. Suppose 0 = t + l*t - 21. Let v = 64 - 32. Calculate the remainder when v is divided by t.
4
Let q(n) = n**3 + 11*n**2 + 9*n - 8. Let t be q(-10). Suppose r - 23 = -2*y, -2*y - t*r + 29 = r. Calculate the remainder when 17 is divided by y.
7
Let w = 31 + 23. Suppose 0 = -2*m - 5*r + 1, -3*r - w = -4*m + 13. Let h(s) = s**3 + 9*s**2 + 10*s + 7. What is the remainder when h(-7) is divided by m?
9
Let i = -2818 + 3057. What is the remainder when i is divided by 130?
109
Suppose -27 = -5*z + 68. Suppose -17*d + 4876 = 32*d + 4*d. Calculate the remainder when d is divided by z.
16
Suppose 0 = 7*i - 9*i + 218. What is the remainder when i is divided by 10?
9
Suppose -2*w = -6, n + 3*n = 4*w. Suppose -l + 7 = -3*c - 3*l, -l - 8 = -n*c. Let u(p) = 3*p. What is the remainder when 4 is divided by u(c)?
1
Let s = -11 - -21. Suppose 11*l + 3*p - 35 = 10*l, 2*l - 49 = p. What is the remainder when l is divided by s?
6
Suppose 5*b + 3*m = -0*m + 77, -b + 17 = -m. What is the remainder when 222 is divided by b?
14
Suppose 20*t - 3934 = 6*t. Calculate the remainder when t is divided by 22.
17
Let n(u) = -u**2 - 9*u + 38. Suppose b + 2*b = -c + 11, 0 = 5*c + 4*b - 66. Calculate the remainder when n(0) is divided by c.
10
Suppose -3*n = -2*y - 327, 2*n + 4*y + 54 = 256. Calculate the remainder when n is divided by 33.
8
Let h(q) = q**2 + 11*q + 8. Let o be h(-10). Let k(y) = y**2 - y + 1. Suppose 0 = j - 28 + 1. Calculate the remainder when j is divided by k(o).
6
Let y = -103 - -92. Calculate the remainder when 41 is divided by 56/(-14) - 1*y.
6
Let m(g) = g**2 + 5*g - 10. Let z be m(-7). Suppose -4*d + 21 = -z*v - 115, v + 139 = 4*d. Suppose 124 = 3*k - d. What is the remainder when k is divided by 18?
17
Suppose 32*t = -9*t + 1927. Calculate the remainder when t is divided by 4.
3
Suppose 2*p + 3*f - 19 = 0, -6*f + 58 = 4*p - 4*f. Calculate the remainder when p is divided by 11.
6
Let s = 11 - 8. What is the remainder when 18 is divided by 40/(s + 2) - 1?
4
Suppose 0 = -23*y + 300 + 275. What is the remainder when 141 is divided by y?
16
Let s be (4/(-3))/((-6)/(-18)). What is the remainder when 49 is divided by 2/((-16)/26)*s?
10
Suppose 284*f = 276*f + 248. Calculate the remainder when 400 is divided by f.
28
Let k = -69 + 127. What is the remainder when 185 is divided by k?
11
Let z(s) = -15*s**3 + 2*s**2 + s + 1. Let o(d) = -d**3 - 5*d**2 - d + 10. Let x be o(-4). What is the remainder when z(x) is divided by 32?
31
Let u(a) = 8*a**2 - 35*a - 9. Let l = 0 - 1. Let k = l - -6. Calculate the remainder when u(5) is divided by k.
1
Let b(n) = -n**2 - 9*n + 32. What is the remainder when 103 is divi