e -518*z - 4437 = -521*z. What is the remainder when z is divided by 40?
39
Let r = 3 - -3. Let p(j) = j - 4. Let y be p(r). Suppose 2*o - y = 0, -2*o = -a - o + 61. Calculate the remainder when a is divided by 13.
10
Suppose -195 = 37*p - 40*p. Let h be -1 - ((-86)/1)/(-2). Let x = h + p. What is the remainder when 60 is divided by x?
18
Let d = -6 - -17. Let t be 23/(-1) + -4 + (3 - 0). Let a = 54 + t. Calculate the remainder when a is divided by d.
8
Suppose -53*a + 44*a = -639. What is the remainder when a is divided by 23?
2
Let k = 90 + -5. Suppose 7*i = 2*i + k. Suppose -5*u = -20, -5*r = 3*u + 2*u - 350. Calculate the remainder when r is divided by i.
15
Let a = -788 + 946. What is the remainder when a is divided by 77?
4
Let v(b) = 25*b**3 + b**2 + 2*b + 1. Let g be v(-1). Calculate the remainder when 729/15 + (-10)/g is divided by 13.
10
Suppose -24 = -0*q - 3*q. Let u be 1 + 1/(3 + -2). Suppose 6*v - 124 = u*v. Calculate the remainder when v is divided by q.
7
Suppose -3*q - 47 = -4*u, 0 = -0*q - 3*q - 15. Calculate the remainder when ((-12)/u)/((-2)/36) is divided by 7.
6
Let o(m) = -m**2 - 8*m - 5. What is the remainder when o(-5) is divided by (6 + (-45)/6)/((-4)/8)?
1
Suppose -r - 5*p - 32 = 0, -3*r + 5*p - 70 = 2*r. Let s = r + 106. Calculate the remainder when s is divided by 13.
11
Let x(q) = 42*q + 318. What is the remainder when 192 is divided by x(-7)?
0
Let p(q) = q**3 - 17*q**2 - 31*q - 45. Calculate the remainder when p(19) is divided by 16.
8
Suppose 5*b + 3*n = -n, 0 = 5*b - n. Suppose -2*a + 30 = -b*a. Calculate the remainder when 71 is divided by a.
11
Let m = -162 + 249. Suppose 3*b = i + 5 + m, -b - 5*i = -4. Calculate the remainder when b is divided by 8.
5
Let b = 26 + -30. What is the remainder when ((-268)/(-16))/((-1)/b) is divided by 17?
16
What is the remainder when (76/(-32))/(2/(-304)) is divided by 88?
9
Let m = 7 - 2. Suppose -4*f - 4 = 0, q + 3*q + m*f - 183 = 0. Let c(y) = -2*y + 2. Calculate the remainder when q is divided by c(-7).
15
Suppose 4*f - 196 = -4*n, n + 5*f = -0*n + 65. What is the remainder when 298 is divided by n?
28
What is the remainder when 153 - 0 - 1*(-5 + 0) is divided by 7?
4
Suppose 0 = 6*t - 24 - 78. What is the remainder when 50 is divided by t?
16
Suppose 0 = 5*r - 426 - 599. Suppose 4*o = 9*o - r. What is the remainder when 81 is divided by o?
40
Suppose -i = -8*y + 4*y, 0 = -2*y + 4*i + 14. What is the remainder when (76/5)/(4/10) is divided by y/(3/78*-2)?
12
Let w(v) = -11*v**3 - 7*v**2 - 7*v - 1. What is the remainder when w(-1) is divided by 3?
1
Suppose -8*x + 44 + 12 = 0. Calculate the remainder when 61 is divided by x.
5
Let g(s) = -13*s**3 + s**2 + s - 1. Calculate the remainder when g(-2) is divided by 11.
6
Suppose 2*z + 4*z + 18 = 0. Let q(v) = 3*v**2 + 7*v + 8. Calculate the remainder when q(z) is divided by 4.
2
Suppose -1356 = -4*r - 436. What is the remainder when r is divided by 54?
14
Suppose 2*h = 4*d + 110, -3*d - 2*d + 335 = 5*h. Let n = 2415 + -2398. Calculate the remainder when h is divided by n.
12
Suppose 3*g - 9 = 75. Let o(r) = r**2 - 7*r - 3. Calculate the remainder when g is divided by o(8).
3
Suppose -5 = -2*m - j + 5, -m + 8 = 2*j. What is the remainder when 29 is divided by m?
1
Let m = -2648 - -2821. Calculate the remainder when m is divided by 42.
5
Let h be 51/7 + 2/(-7). Let d(x) be the first derivative of -x**4/4 + 8*x**3/3 - 7*x**2/2 + 10*x + 88. Calculate the remainder when 27 is divided by d(h).
7
Let h be 4740/40*(0 - (-2)/3). Suppose 2*o - 9 = h. What is the remainder when o is divided by 9?
8
Let x be (3 - -9)*(20/(-15) + 1). What is the remainder when (19/x)/((-1)/4) is divided by 3?
1
Let n = -219 - -309. Calculate the remainder when n is divided by 24.
18
Let s = -11 - -11. Suppose -7*q + 5*q + 3*r + 8 = s, 5*q + 3*r = -1. What is the remainder when 17 - (-2 - (0 + q)) is divided by 11?
9
Let c(j) = 81*j**2 - 4*j - 6. Let s(f) = 82*f**2 - 3*f - 5. Let r(w) = -4*c(w) + 5*s(w). Calculate the remainder when r(1) is divided by 29.
28
Let i(v) = 2*v - 2. Calculate the remainder when 111 is divided by i(15).
27
Suppose 0 = j + h - 55, -103 = -2*j - 0*j + 5*h. Let v = 23 - 35. What is the remainder when j is divided by (v/8)/(3/(-28))?
12
Let i(r) = -r + 3. Suppose 0 = 2*k - 12 + 4. Let f be i(k). What is the remainder when 32 + f*6/2 is divided by 15?
14
Let r = -1371 - -1490. What is the remainder when 466 is divided by r?
109
Let r(m) = m**2 + 2*m + 4. Suppose 3*j - o = 215, 9*o = -j + 13*o + 79. Calculate the remainder when j is divided by r(-4).
11
Suppose -5*k + 33*p = 30*p - 2726, 4*p = -8. Calculate the remainder when k is divided by 13.
11
Let h(k) = 7*k + 1. Let i = 13 - 14. Let n be h(i). Let a(d) = d**3 + 6*d**2 - 3*d - 1. Calculate the remainder when 33 is divided by a(n).
16
Let h(y) = y**2 + 20*y + 19. Let f be h(-19). Suppose f = 5*r - 4*z - 324, 2*z = -2*r - 0*r + 144. Calculate the remainder when r is divided by 14.
12
Suppose k = 5 + 7. Suppose 309*o - 314*o = -105. What is the remainder when o is divided by k?
9
Let z = -45 + 50. Suppose 2*n = z*o - 44, -n = 2*o + 2*n - 29. Calculate the remainder when 48 is divided by o.
8
Let n = -16 + 8. What is the remainder when (-168)/(-6) - (3 - 0) is divided by (-68)/(-8) + 12/n?
4
Suppose 0 = -36*l + 33*l + 6. Calculate the remainder when 15 is divided by l.
1
Let j(q) = -q**3 + 4*q**2 + 47*q - 5. What is the remainder when j(8) is divided by 59?
56
Let y be (-4)/10 + 12/5. Suppose -y + 8 = 3*m. Suppose -m*i = 5*x + i - 33, 2*x - 17 = -5*i. What is the remainder when 29 is divided by x?
5
Let l(o) = -2*o**3 + 4*o**2 - 19*o - 69. Calculate the remainder when l(-5) is divided by 9.
7
Let k be (4/8)/(-2 - (-63)/30). Suppose -5*t + 111 = -4*l, t - k*l + 16 = 55. What is the remainder when (148/6)/((-4)/(-6)) is divided by t?
18
Let r be (-4)/(-6)*(-1 - -4). What is the remainder when 31 is divided by (-32)/(-4 + 4/r)?
15
Suppose -31*k = -46*k + 255. Calculate the remainder when 151 is divided by k.
15
Suppose 4*a = 3*n - 19 - 119, 5*a = -n + 46. Calculate the remainder when n is divided by 10.
6
Let o = 913 + -806. Calculate the remainder when 427 is divided by o.
106
Suppose -376 - 1850 = -7*f. Calculate the remainder when f is divided by 40.
38
Suppose 11*i = 16*i - 15. Suppose -j + 42 = -i. Calculate the remainder when 132 is divided by j.
42
Suppose 13*m - 150 = 10*m. What is the remainder when m is divided by 13?
11
Suppose -8*y = -11*y - 3*w + 45, -5*y + 55 = w. Let h be (2/(-4))/(3/(-294)). Let b = h - 12. What is the remainder when b is divided by y?
7
Let i be (-2)/5 + (-1884)/15. Let b be 20/(-3)*i/15. Suppose 20 - b = -3*z. Calculate the remainder when 33 is divided by z.
9
Suppose 0*k + 5*y = -k - 30, 3*y + 30 = -3*k. What is the remainder when 109 is divided by k/20 - 195/(-12)?
13
Let l = 0 + 2. Let h = -10 + 10. Let u = 5 + h. Calculate the remainder when u is divided by l.
1
Let k(y) = -15*y**2 - 47*y - 2. Let o(j) = -j - 4. What is the remainder when k(-3) is divided by o(-5)?
0
Let x(t) = -68*t - 777. Let g = -7 + 14. Calculate the remainder when x(-12) is divided by g.
4
Let h = 62 - 74. Calculate the remainder when ((-115)/15 - -4)*h is divided by 8.
4
Suppose 5*h - 35 = -2*u, 3*h - 25 = h - 3*u. Suppose 0 = 3*m + 3, 2*m + 12 = c + 3*m. Calculate the remainder when c is divided by h.
3
What is the remainder when (-3*800/210)/((-4)/14) is divided by 23?
17
Let h(q) = 17 - 7 - q - 20 + 3*q. Calculate the remainder when 28 is divided by h(10).
8
Suppose 0*l - 92 = -4*l. Let f = l - 12. Let v(b) = 8*b - 262. Calculate the remainder when v(38) is divided by f.
9
Suppose -6*j + 318 = -102. Suppose 5*n = -5*n + j. Calculate the remainder when 55 is divided by n.
6
Let b(s) = s**2 - 8*s + 31. Let q be b(3). Suppose -t = -0*t - 2. Suppose -5*g - t*a + q = -5*a, 5*a + 12 = g. Calculate the remainder when 6 is divided by g.
0
Suppose -3*u = 62 - 338. Calculate the remainder when u is divided by 26.
14
What is the remainder when (-5)/(15/2097)*(-3)/9 is divided by 18?
17
Suppose 4428 = 29*g + 7*g. Calculate the remainder when g is divided by 35.
18
Let y(n) = n**3 + 11*n**2 + 7*n - 14. Let z(x) = 8*x + 6. Let b(h) = h + 15. Let w be b(-8). What is the remainder whe