7. Let v = 169 + -328. Let f = b - v. What is the remainder when f is divided by 19?
17
Let g = 150 + -137. Let u be (2 + 5)*(1 + -2). Let m = g + u. What is the remainder when 21 is divided by m?
3
Suppose -4 + 6 = 2*l, -3*l + 207 = 4*n. What is the remainder when n is divided by 28?
23
Let j(c) = -c + 1. Let y(p) = -8*p + 5. Let k(w) = -4*j(w) + y(w). Let z be k(-6). What is the remainder when z/3 - 4/(-6) is divided by 3?
0
Let w(m) = -6*m - 5. Let v be w(-3). What is the remainder when (150/(-9))/((-6)/9 + 0) is divided by (-1 - (0 + -2)) + v?
11
Let x = 53 - 44. Let p be (-3 - -5)*(-1)/(-2). What is the remainder when 3 + p + -1 - -14 is divided by x?
8
Let t(j) = -4*j + 2. Let b be t(8). Let z be (14/(-21))/(4/b). What is the remainder when 22 is divided by (-3 + (-81)/(-15))*z?
10
Let x = -152 + 352. Suppose -3*y + 80 = n + n, 0 = 5*n + 3*y - x. Suppose 24 = 3*a - 4*t - t, -5*a + 2*t = -n. Calculate the remainder when a is divided by 5.
3
Suppose 4 = 4*z + 4. Calculate the remainder when (-1085)/(-7) + -3 + z + 1 is divided by (2/(-4))/(1/(-62)).
29
Suppose 0*m + i - 95 = -m, -4*i = -m + 120. Let k(c) = c**3 - 9*c**2 - 2*c + 114. What is the remainder when m is divided by k(8)?
32
Let y(d) = -d**2 + 2*d + 216. Calculate the remainder when 352 is divided by y(-13).
16
Let q(p) = -p**3 - 4*p**2 - 15*p - 58. What is the remainder when 2/1*(2 + 0) is divided by q(-4)?
0
Calculate the remainder when 226 is divided by (-4)/((-34)/(-38) - (16 - 15)).
36
Let f(g) be the second derivative of g**4/3 + 3*g**3/2 + 9*g**2/2 - 3*g. What is the remainder when f(-4) is divided by 19?
18
Let o be (-4)/12*((-25)/1 + 1). Suppose 0 = 4*n + 16, -2*g + 34 = -0*g + 2*n. What is the remainder when g is divided by (-6)/(-1)*((-12)/o + 2)?
0
Suppose c = 4*n + 74, -2*n = 4*c - 3 - 257. Suppose -5*i = 5*l - 170, -8 = -0*l - 4*l. Let j = c - i. What is the remainder when 100 is divided by j?
32
Let m = -595 + 712. Calculate the remainder when m is divided by 35.
12
Let b = 19 + -15. Suppose -b*l = -2*l + 84. Let o = 62 + l. Calculate the remainder when o is divided by 11.
9
Let j = 5 + -19. Calculate the remainder when 3 - 1/(2/j) is divided by 0 - (0 - -1 - 5).
2
Let y(z) = z + 24. Let t be y(-8). Let x = 16 + t. What is the remainder when x is divided by 18?
14
Let c be 672/(-20)*110/(-4). Let d be c/48 + (-1)/4. Let l = d - 15. What is the remainder when 13 is divided by l?
1
Let q(a) = 5*a + 226. Calculate the remainder when q(-45) is divided by 1.
0
Suppose 2*i - 5*b - 12 - 25 = 0, 0 = -2*i + 4*b + 34. Let o(h) = h**2 - 2. Calculate the remainder when i is divided by o(3).
4
Let j(x) = 25*x**3 + 2*x**2 + 4*x - 5. What is the remainder when 72 is divided by j(1)?
20
Let b be 84/22 - 14/(-77). Suppose b*c + 4 = -20. Calculate the remainder when 4 is divided by (c/(-4))/(6/8).
0
Let m be 4*((-60)/(-5))/3. Suppose -4*y - 2*v = -m, 0*v = -y + 5*v + 15. Let d = 10 + 1. Calculate the remainder when d is divided by y.
1
Suppose y + 4*j = -11, 2*y = -3*j + 2*j + 6. Suppose 4*n - 5*a + 22 = 0, 0 = -y*n + a - 6*a - 5. Calculate the remainder when 73 is divided by (n/(6/76))/(-2).
16
Suppose -b = 2*f + 16, 3*f = 3*b - 0*b - 33. Let q = -6 - f. Suppose 4 = 2*i - 4. What is the remainder when i is divided by q?
1
Let u = -126 + 152. Calculate the remainder when 412 is divided by u.
22
Let r be ((-1)/(-3))/((-2)/(-18)). Let h be 2/1 + (r - 4). Calculate the remainder when 2/h + 0 + 1 is divided by 3.
0
Let x = -66 + 83. What is the remainder when 21*((-76)/(-12))/1 is divided by x?
14
Suppose 3*t - 93 = 4*d, -4*t + 2*d - d + 111 = 0. What is the remainder when 89 is divided by t?
8
Let j = -46 + 74. Let w = -33 - 3. Let g = w + 52. What is the remainder when j is divided by g?
12
Let q = 98 - 175. Let c = q - -151. What is the remainder when c is divided by 38?
36
Let f(m) = m**2 + 10*m + 7. Let b be f(-5). Let a be 33/(-5)*(7 - 12). Let u = a + b. Calculate the remainder when 26 is divided by u.
11
Let b(u) = -u - 5. Suppose z - 3*z = 8. Let d be b(z). What is the remainder when (-1 + 2 + -8)*d is divided by 4?
3
Let s(t) = t**3 + 5*t**2 - 3*t - 5. Let p be 45/(-10) - -3 - 117/(-2). Let l = p + -51. What is the remainder when s(-4) is divided by l?
5
Let v(t) = 2*t**2 - 56*t + 416. What is the remainder when v(9) is divided by 11?
8
Suppose 3*z - 14 = 43. Let x = -1 + z. Calculate the remainder when x is divided by 10.
8
Suppose -7*i + 121 = 37. Let q = i - -17. What is the remainder when q is divided by ((-32)/(-12))/((-2)/(-6))?
5
Suppose 2*s - z = 3*s - 16, s - 3*z - 8 = 0. Let o = 2 + -3. Calculate the remainder when 2*26 - 2*o is divided by s.
12
Let c be (-3 - 1*-2)*-5. Let r = c - 0. Suppose -4*s + 79 - 139 = -72. Calculate the remainder when r is divided by s.
2
Let d = 116 - 83. What is the remainder when ((-4)/10)/((-10)/1600) is divided by d?
31
Suppose 6 = d + 4. Let c(s) = 1 - 4 + 0*s + 2*s - 3*s + 6*s**d. What is the remainder when c(2) is divided by 11?
8
Suppose 0 = 12*c - 9*c - 147. Suppose -2*l = 3*o - c, 2*l - 73 + 18 = -5*o. What is the remainder when 59 is divided by l?
19
Suppose -4*y + 30 = 2*y. Let w be -1 - (2 - 3 - y). Suppose 100 = w*d - 50. Calculate the remainder when 119 is divided by d.
29
Suppose 264 = c + 3*c. What is the remainder when (-11)/c - 926/(-12) is divided by 20?
17
Suppose 6*l + 5 = 89. Suppose -4*s - 2*i + 102 = 0, 0 = -4*s - 3*i + 117 - l. What is the remainder when 71 is divided by s?
21
Suppose 5*n + i = -0*i - 12, 0 = -2*n + 5*i + 6. Calculate the remainder when 27 is divided by 3/n*140/(-15).
13
Let h(a) = 12 + 3*a - 3*a**2 + 0*a + 4*a**2. What is the remainder when h(5) is divided by 14?
10
Suppose 37 = -2*s - u, s = 2*u - 4*u - 11. Suppose 0 = m - 4*m + 174. Let c = s + m. Calculate the remainder when c is divided by 8.
5
Suppose 21*x - 6628 = 743. Calculate the remainder when x is divided by 16.
15
Let c(r) = -r**3 + 6*r**2 + 6*r - 27. What is the remainder when 165 is divided by c(5)?
25
Suppose -20*l + 11*l + 324 = 0. Calculate the remainder when 61 is divided by l.
25
Let r = 41 - 38. Suppose 7*w = r*w + 16. What is the remainder when 9 is divided by w?
1
Let l(y) = y**3 - 11*y**2 - 9*y - 6. Suppose -5*j = 2*z - 11, -5 = 6*j - j. Calculate the remainder when l(12) is divided by z.
6
Suppose 0 = -5*o + 2*w + 240, 0 = -o - 0*o + 2*w + 40. What is the remainder when o is divided by 13?
11
Suppose 0 = 6*k - 42 - 6. Let v(z) be the third derivative of -z**4/24 + 13*z**3/6 + 6*z**2. What is the remainder when k is divided by v(11)?
0
Let r(o) = o**3 + 41*o**2 + 78*o + 41. What is the remainder when r(-39) is divided by 11?
8
Let b(t) = -t**3 + 6*t**2 + 1. Calculate the remainder when (-20)/(-6 + (-161)/(-28)) is divided by b(3).
24
Suppose -3*n = -z - 111, -n - n - 4*z + 88 = 0. Calculate the remainder when n is divided by 15.
8
Suppose -24*a - 444 = -1236. What is the remainder when 725 is divided by a?
32
Suppose 7*g = 2*g + i - 71, 0 = -g + 5*i - 19. Let o = g + 17. Suppose z - 3*z + s + 18 = 0, 5*s - 36 = -4*z. Calculate the remainder when z is divided by o.
0
Let a(n) = -23*n - 4 + 4*n - 1 - 10. What is the remainder when a(-8) is divided by 20?
17
Let g(p) = p**2 + 3*p - 4. Let w be (42/9)/((-4)/6). Let y be g(w). Let f = y + 50. What is the remainder when f is divided by 25?
24
Let x(z) = -11*z + 12. Let y(f) = -2*f + 2. Let b(l) = -6*x(l) + 34*y(l). Calculate the remainder when 67 is divided by b(-11).
13
Calculate the remainder when (-4)/(-10) + (-1416)/(-10) is divided by 38.
28
Let f(z) = -z**3 - 7*z**2 + 8*z + 8. Let n be (-6 - -2)*(-1)/2. Suppose n*l - 4*l + 44 = 0. What is the remainder when l is divided by f(-8)?
6
Let r(k) = k + 9. What is the remainder when 61 is divided by r(7)?
13
Let l be 10/8*12/10*28. Suppose 0*d - l = -3*d. Calculate the remainder when 66 is divided by d.
10
Let o(t) = -16*t + 104. What is the remainder when o(-7) is divided by 31?
30
Let d(r) = -r**3 + 21*r**2 - 34*r - 11. Calculate the remainder when 517 is divided by d(19).
62
Let x be (12/(-8) - -3)*12. Let n = -5 + x. Calculate the remainder when 35 is divided by n.
9
Let p(b) = -b**3 - 5*b**2 + 4*b + 8. Let t be p(-5). What is the remainder when 22/(2 + 21/t) is divided by 30?
28
Suppose 5*s = -4*t + 164, -4*t + 100 = -5*s 