l + 31. Calculate the remainder when 38 is divided by l.
10
Suppose 0 = f + 15*q - 20*q - 382, -4*f + 3*q + 1545 = 0. What is the remainder when f is divided by 28?
23
Suppose -4*w + 5*f + 65 = 0, -5*f + 36 + 4 = 3*w. What is the remainder when -1 + 5/(w/309) is divided by 26?
24
Let m(h) be the first derivative of -13*h**2 + h - 6. What is the remainder when m(-3) is divided by 40?
39
Calculate the remainder when 50 is divided by (-50)/(-5)*(-9)/(-6).
5
Suppose -3*n + 12 = 0, -3*a + 0*a - 15 = -3*n. Let w = a - 7. Let o = 8 - w. Calculate the remainder when 31 is divided by o.
15
Let f be (12/(-14))/((-15)/70). Suppose -w = -f*w + 450. Let j = -81 + w. Calculate the remainder when j is divided by 18.
15
Let t(v) = -v**2 - v + 2. Let c be t(-2). Suppose -m - 15 + 41 = c. Calculate the remainder when m is divided by 9.
8
Suppose -c - 45 = -4*o, 7 = o + c + 3*c. Calculate the remainder when o is divided by 5.
1
Let b be 2*(1/(-2) + 3) - -3. Suppose -b*v + 56 = -192. Calculate the remainder when v is divided by 8.
7
Let j be 5 - (-2 + -4 + 7). Suppose m = 5*z + j - 29, -4*z + 44 = 4*m. Calculate the remainder when 49 is divided by (4/z)/(2/39).
10
Let i be (8/12)/((-2)/15). What is the remainder when 19 is divided by (4/10 - 13/i) + 4?
5
Let l(j) = j**3 + 14*j**2 - 32*j + 21. Suppose 101 = -13*b - 107. Calculate the remainder when l(b) is divided by 9.
3
Let t(h) = h**3 - h**2 + 4*h - 1. Suppose -31 = -3*k + 2. Calculate the remainder when t(3) is divided by k.
7
Suppose 0 = -39*t + 33*t + 102. What is the remainder when (-8)/(-36) + (-1148)/(-18) is divided by t?
13
Let i(a) = -a**3 - 15*a**2 + a + 52. What is the remainder when i(-15) is divided by 2?
1
Let w(g) = -32*g - 77. Calculate the remainder when w(-5) is divided by 29.
25
Let z be 0 + -2 + (-8 + 7 - -92). Suppose -4*j - 41 = -z. Let k(m) = 2*m**3 - m**2 + 3*m + 4. Calculate the remainder when k(3) is divided by j.
10
Let j(p) = -p**3 - 2*p - 1. Let i be j(-1). Suppose 5*x + i = h - 3, -4*h + 112 = 3*x. What is the remainder when 1 - ((-291)/3)/1 is divided by h?
23
Let n(y) = -y**3 - y**2 - y + 134. Let s be n(0). Let h = -79 + s. What is the remainder when h is divided by 4/(29/7 + -4)?
27
Suppose 62*o - 10080 = -2640. What is the remainder when o is divided by 33?
21
Suppose -2*s = 2*k + 12, -11 - 5 = 4*k. Calculate the remainder when (s/(-1))/((-4)/(-148)) is divided by 25.
24
Suppose 68*a - 72*a = -24. What is the remainder when 14 is divided by a?
2
Let b = -335 - -364. What is the remainder when b is divided by 10 + (1 - 2) + 1?
9
Let b(p) = 43*p**2 - 9*p - 7. What is the remainder when 121 is divided by b(-1)?
31
Let g(p) = -40*p. Let l be g(-2). Suppose b = 111 - l. Calculate the remainder when b is divided by 16.
15
Suppose 9*v = 121 + 140. Calculate the remainder when 231 is divided by v.
28
Let f be 36/20 - 2/(-10). Suppose f*m - 4*m + 108 = 0. Let h = 99 - 71. Calculate the remainder when m is divided by h.
26
Let n(y) = 55*y - 168. What is the remainder when n(4) is divided by 14?
10
Let t(k) be the third derivative of 7/6*k**3 + 0*k - 1/24*k**4 - 6*k**2 + 0. What is the remainder when 19 is divided by t(-3)?
9
Let m = 151 + -148. Let g be -3*2/2 + -18. What is the remainder when 8/(-2)*g/28 is divided by m?
0
Let f(g) = -g - 1. Let d be f(-5). What is the remainder when 53 is divided by 12/d + -2 + 13?
11
Suppose -y + 64 = 5*u, -33*u + 37*u - 214 = -3*y. What is the remainder when 297 is divided by y?
1
Suppose -2*b - t = -5*t - 78, -5*b = -t - 150. What is the remainder when b is divided by 8?
5
Suppose 4*i - 33 = -4*g - 5, 0 = i - 3*g + 13. What is the remainder when 57 is divided by (-1 - 2/i*2) + 18?
12
Suppose 34*c - 278 = 300. Let u(d) = 102*d - 1. What is the remainder when u(1) is divided by c?
16
Suppose -7*r = -3*r - 3*f - 57, r + 5*f = 20. Suppose -6*a + 20 = -a. Calculate the remainder when r is divided by a.
3
Suppose 0 = -3*c - 6*c + 54. Suppose 15 = i - c. Let v = -16 + 27. Calculate the remainder when i is divided by v.
10
Let o be 2/5 + 2268/(-70). Let x = -25 - o. What is the remainder when 27 is divided by x?
6
Let j be (6/12)/(1/2). Suppose v + 14 = 3*c, 0 = -v - 4 - j. Let w = 23 + c. What is the remainder when 75 is divided by w?
23
Let t(v) = -v**3 - 2*v**2 + v + 1. Suppose 0 = 4*r + 23 + 13. Calculate the remainder when r + 29 - (-2)/(-1) is divided by t(-3).
4
Suppose 3*y - 36 = -0*g + 2*g, 3*g = 0. Suppose 0 = -9*j + 505 - 91. Calculate the remainder when j is divided by y.
10
Let r(w) = -w + 7. What is the remainder when 93 is divided by r(-5)?
9
Let g be -32*(-4)/(-32)*6. Let u = 27 + g. Suppose 5*d = b + 60, 5*d - 5*b - 60 = -u*b. What is the remainder when 22 is divided by d?
10
Suppose 0*k = 2*k - 4. Suppose -2*y + 8 = -y. Suppose 5*n - y - 7 = 0. What is the remainder when n is divided by k?
1
Suppose -3 = -3*n + 39. What is the remainder when 206 is divided by n?
10
Let g = -44 - -26. Let b be (1/(1/g))/(-2). What is the remainder when ((-4 - -5) + 0)*b is divided by 4?
1
Suppose -37 + 80 = q - v, -79 = -2*q - 5*v. Calculate the remainder when 514 is divided by q.
10
Let i(c) = -10 - 7*c - 5*c + 9*c. Calculate the remainder when i(-11) is divided by 6.
5
Let q = 277 + -195. Calculate the remainder when q is divided by 23.
13
Let o = 1 + 2. Let n = -184 - -212. What is the remainder when n is divided by ((-20)/6)/(o/(-9))?
8
Suppose -5*l + 2*l - 27 = 0. Let k = -3 - l. Suppose -18 = 4*d - k*d. What is the remainder when 25 is divided by d?
7
Suppose -9*c + 6*c = -6. Suppose -4*n + 39 = -n. Calculate the remainder when n is divided by c.
1
Let y(a) = a**3 - 19*a**2 + 17*a + 18. Let g be y(18). Suppose -12*j + 7*j + 25 = g. What is the remainder when 7 is divided by j?
2
Let z(y) = -4*y + 2. Let m(v) = 5*v - 3. Let f(o) = 4*m(o) + 6*z(o). Let n be f(-2). What is the remainder when 29 is divided by (17 + 3)*n/10?
13
Let w be ((-219)/9 + 1)*(-3)/2. Suppose -8*l = -21 - w. Calculate the remainder when l is divided by 5.
2
Suppose 0*z = -2*z + 48. Suppose -2*n - s = -16, -z = 2*n - 5*n + 4*s. What is the remainder when n is divided by 3?
2
Suppose m + 4*m = 60. Let y(v) = 2*v**2 - 24*v + 11. Calculate the remainder when 53 is divided by y(m).
9
Suppose -55*c = -44*c - 924. Calculate the remainder when c is divided by 29.
26
Suppose 4*p + 3*i - 31 = 0, -2*p + 2*i + 46 = 2*p. Calculate the remainder when 32 is divided by p/4 + 58/4.
15
Suppose 0 = -5*z - 3*k + 577, -z + 2*k - 32 = -137. Calculate the remainder when z is divided by 57.
56
Suppose 5*h + 2*x = 58, -9*h - 5*x = -7*h - 19. What is the remainder when 42*-2*1/(-4) is divided by h?
9
Let w be ((-30)/(-45))/((-4)/66). Let m(k) = k**3 + 10*k**2 - 12*k + 10. What is the remainder when m(w) is divided by 11?
10
Let r be (-6 - -8)/((-2)/(-6)). Suppose -r*b = -b. Suppose 68 = 4*u - b*u. Calculate the remainder when 31 is divided by u.
14
Let h = -364 + 392. What is the remainder when 71 is divided by h?
15
Suppose 0 = -5*x - 4*o + 2039, x + 4*o = -x + 818. Suppose 8*z - x = -3*z. Calculate the remainder when z is divided by 13.
11
Let k = -102 - -107. Suppose k*i - 74 = i - a, 0 = -5*a - 10. Calculate the remainder when 34 is divided by i.
15
Let s be -1 - -8 - (1 + -1). Suppose s + 3 = j. What is the remainder when 46 is divided by j?
6
Let a be (-111)/(-39) - 6/(-39). Suppose 0 = -2*q + 2*y + 38 + 14, 4*q - a*y - 99 = 0. What is the remainder when 83 is divided by q?
20
Let n(y) = -y**3 + y**2 + 2*y + 2. Suppose 2*m + 4*f + 8 = -0, 2*f = -3*m. What is the remainder when m is divided by n(-1)?
0
Let d(c) = c**2 + 9*c + 9. Let h(j) = j**3 - 11*j**2 - 10*j - 8. Suppose 0 = 3*w - w - 24. Calculate the remainder when h(w) is divided by d(-9).
7
Suppose 5*s = -y + 140, y = 3 + 2. Let u be (2 - 8)*6/12. Let p(b) = -3*b**3 - 2*b**2 + 2*b - 4. Calculate the remainder when p(u) is divided by s.
26
Let j(r) = r**3 + 5*r**2 - 6*r - 2. Suppose -8*p + 11*p = 237. Let t = p + -64. What is the remainder when j(-5) is divided by t?
13
Let g = -376 + 560. Calculate the remainder when g is divided by 32.
24
Calculate the remainder when ((-1140)/8)/(36/(-24)) is divided by 49.
46
Suppose 2*l + 22 = 4*c, -2*c = l - 21 + 4. Suppose 0 = -3*y + c*y - 40. Calculate the remainder when 37 is divided by y.
7
Let j b