6, -g - 15 = -j. Let a = -5 + j. Calculate the remainder when a is divided by 5.
4
Let y be 7/5 - 6/(-10). Suppose -y*n = -2*a + 5*a + 15, 0 = 5*n + 3*a + 42. Let g(d) = -5*d - 11. Calculate the remainder when g(n) is divided by 18.
16
Let u(g) = g**3 - 2*g**2 - g + 3. Let f be (-2)/4 + (-1)/(-2). Suppose -b = -f*b - 16. Calculate the remainder when u(4) is divided by b.
15
Let t = 54 - 52. Let l(v) = 4*v - 6. Let b be l(4). Suppose -t*m + 42 = 5*w - b, 4*m - 4 = 0. What is the remainder when w is divided by 6?
4
Suppose r + 2*r = 198. Suppose -j + r = 2*j. Let v(o) = o**3 - 4*o**2 - 5*o + 12. What is the remainder when j is divided by v(5)?
10
Suppose 0 = -6*i - 46 + 16. Let n = 4 - i. Calculate the remainder when 16 is divided by n.
7
What is the remainder when 2/((-4)/(-46)) + -2 is divided by 8?
5
Let y = 16 - 36. Let f = 35 + y. Calculate the remainder when 73 is divided by f.
13
Suppose 230 = 4*k - 2*i, 11*i = k + 15*i - 62. Suppose 3*n - 29 = 31. What is the remainder when k is divided by n?
18
Suppose 0 = -l - l + 80. Suppose -2*b + b + l = 0. Let c = 0 - -21. Calculate the remainder when b is divided by c.
19
Suppose 4*h + 0 = 4*k - 4, 0 = 4*h - 2*k - 2. Calculate the remainder when 29 is divided by h.
1
Let a = -40 - -58. What is the remainder when a is divided by 17/2 - (-3)/(-2)?
4
Suppose 0 = 4*s - 8 - 0. Let o(b) = 13*b**2 + b. Calculate the remainder when o(s) is divided by 19.
16
Suppose 3*b + 14 = 74. Let z(w) = w**3 - 2*w**2 + 2. Let a = 3 - 0. Calculate the remainder when b is divided by z(a).
9
Let k(b) = -3*b + 0*b + 6 - 5. Calculate the remainder when k(-4) is divided by 5.
3
Suppose -15*n + 12*n = -351. What is the remainder when n is divided by 20?
17
Let h be (0 - -1) + -4 + 59. Suppose b - 27 = -0*b + 4*i, -4*b = -3*i - h. Calculate the remainder when 42 is divided by b.
9
Let l(z) = -6*z - 116. Calculate the remainder when l(-31) is divided by 15.
10
Let t = -19 + 21. Suppose 2*q - 3*m - 2 + 6 = 0, 0 = 3*q + 4*m - 28. Suppose h = t + q. What is the remainder when 10 is divided by h?
4
Let x = 6 - 4. Suppose 2*q = 3*t - 27, t + q + x*q = -2. Let p(l) = l**3 - 5*l**2 + 4*l + 3. What is the remainder when t is divided by p(4)?
1
Let p(k) = -2*k**2. Let j be p(1). Let d = 3 - j. Calculate the remainder when 8 is divided by d.
3
Let x(k) = -k - k**3 + 7*k**2 + 0*k + 9 + 0*k. Suppose 5*d + 5*l - 55 = 0, -20 = 5*l - 10*l. Calculate the remainder when x(d) is divided by 1.
0
Let t(j) = -j**3 + 5*j**2 + 2*j + 6. Let o(r) = r**3 - 12*r**2 + 10*r + 16. Let a be o(11). What is the remainder when 31 is divided by t(a)?
15
Suppose 3*i - 88 = 2. Let q = 475 + -245. Calculate the remainder when i is divided by (-4)/(-6) + q/15.
14
Suppose -34 = -3*c - 7. What is the remainder when 23 is divided by c?
5
What is the remainder when -3 + (-405)/(-12) - 2/(-8) is divided by 11?
9
Let y(g) = 6*g - 4. Let m be y(3). Suppose 5*o - 89 = -m. Calculate the remainder when o is divided by 8.
7
Suppose -5*q = 2*j - 34, 3*j = 3*q + 7*j - 26. What is the remainder when 15 is divided by q?
3
Suppose -h = -4*h - 27. What is the remainder when (52/(-6))/(6/h) is divided by 4?
1
Let a(d) = d**2 - 10*d - 9. Let z be a(11). Suppose z*k = -k + 27. Calculate the remainder when 17 is divided by k.
8
Let f(w) = 3*w + 2. Let x(n) = 9*n + 6. Let q(s) = 11*f(s) - 4*x(s). Calculate the remainder when q(-6) is divided by 6.
4
Suppose 5*r - 26 = 3*r. Calculate the remainder when 148/(-6)*(-9)/6 is divided by r.
11
Let g = -1 + 2. Let p be 1/(g/2) - 0. Suppose -5*l + 5*k = -31 - 19, -l + p = k. Calculate the remainder when 10 is divided by l.
4
Let g(b) be the first derivative of 2*b**3/3 + b**2/2 + 1. Let i be g(1). What is the remainder when 37 is divided by (0 + 1)*22 - i?
18
Let x be 0 + 1 - (4 + -1). Calculate the remainder when -2*(1 + -14 - x) is divided by 8.
6
Let u(b) = b - 1. Suppose j = -0*j + 3. Let t be u(j). Suppose p = s, -s + 3*p - p - t = 0. Calculate the remainder when 5 is divided by s.
1
Let t(w) = -w**3 - 8*w**2 + 5*w - 11. What is the remainder when t(-9) is divided by 9?
7
Let v(i) = i**2 - 5*i + 1. Let x be v(4). Calculate the remainder when 40 is divided by (-2 - -3)/(x/(-63)).
19
Suppose -4*l = -5*c - 154, 0 = 4*c - 5*l + 54 + 62. Let f = -20 - c. What is the remainder when 53 is divided by f?
11
Let a(j) be the first derivative of 45*j**2/2 + j + 3. Calculate the remainder when a(1) is divided by 16.
14
Let x be (-4)/(-3) - 6/(-9). Suppose 5*z = 2*g - 39, -x*g + z - 5*z = -30. Calculate the remainder when 32 is divided by g.
15
Suppose 149*s - 145*s - 184 = 0. What is the remainder when s is divided by 6?
4
Let y(n) = 50*n**2 - n. What is the remainder when 151 is divided by y(-1)?
49
Let s(c) = -c**3 - 13*c**2 - c + 28. Calculate the remainder when s(-13) is divided by 14.
13
Let y(s) = -s**2 + 10*s + 5. Let w = -25 - -35. What is the remainder when 17 is divided by y(w)?
2
Suppose x + 20 = 5*x. What is the remainder when 14 is divided by x?
4
Calculate the remainder when 26 is divided by 0/(-1) - (-3 + -6).
8
Let t be -1 + 2 + (7 - -2). Suppose 3*u = u + 14. What is the remainder when 490/25 - (-4)/t is divided by u?
6
Suppose -q - l - 13 = 5, -5*q + l - 102 = 0. Let a = -9 - q. What is the remainder when (-395)/(-20) + 1/4 is divided by a?
9
Let r be -3 - 8/6*-6. Let g(x) = x**3 - 6*x**2 + 8*x - 7. Suppose 0 = -3*o + 9, 0*o + 5*o = 4*y - 41. Calculate the remainder when y is divided by g(r).
6
Let u = -15 + 74. What is the remainder when u is divided by 12?
11
Let p(i) be the first derivative of 4*i**3 + i**2 + i + 2. Let q be p(2). Suppose 2*m - q = -1. Calculate the remainder when m is divided by 14.
12
Let c = -7 - -9. Suppose -19 = c*v - 95. Calculate the remainder when v is divided by 13.
12
Let b = -6 + 30. Calculate the remainder when 95 is divided by b.
23
Let f be (0 - -1)/(2/(-6)). Let k be (-3)/1 + 8 + f. What is the remainder when -21*k/(-4)*4 is divided by 22?
20
Suppose -4*g + 4*m = -240, -5*g - 3*m = 2*m - 260. Suppose 0 = 5*p - 2*x - 65, 0*p - 3*x + 30 = p. Calculate the remainder when g is divided by p.
11
Let s = -3 - -1. What is the remainder when 75 is divided by (-3 - -4)*(-38)/s?
18
Let z(f) = -f - 1. Let k be z(-6). Suppose -3*d + 6*d - a = 10, d = -k*a - 18. What is the remainder when 1/d + (-54)/(-4) is divided by 8?
6
What is the remainder when 12*(-4)/(-18)*69/4 is divided by 6?
4
Suppose 0*h + 402 = 3*h. What is the remainder when h is divided by 27?
26
Let v(n) = n**2 + n + 3. Let k be v(0). Suppose -j = -k*j - 4*d + 6, -4*j - 3*d = -17. Calculate the remainder when 14 is divided by j.
4
Let h(p) = p + 19. Let d be h(8). Suppose 0 = -3*y - 4*c + d, 2*c - 26 = -y - 3*y. What is the remainder when y is divided by 2?
1
Let c(u) = 4*u**2 - 5*u - 3. Calculate the remainder when c(4) is divided by 13 + 1*(-4)/2.
8
Let o(k) = 9*k**2 - 1. Calculate the remainder when 30 is divided by o(-1).
6
Let j = 4 - 2. Let k(w) be the third derivative of w**4/24 + w**3/6 + w**2. Calculate the remainder when 5 is divided by k(j).
2
Let l be 6/(-1) - (-3 - -1). Let m be ((-14)/3)/(l/30). Let r = -14 + m. Calculate the remainder when 41 is divided by r.
20
Let y(m) = 6*m**2 - m. What is the remainder when y(2) is divided by ((-413)/280 + 1/(-8))*-5?
6
Let a(k) = 2*k**3 - 5*k**2 - k + 2. Let v = -317 + 329. Calculate the remainder when a(4) is divided by v.
10
What is the remainder when (-4)/(-6) + -5 + (-289)/(-3) is divided by 48?
44
Let g = 26 + -20. What is the remainder when 46 is divided by g?
4
Suppose -3*d + 20 + 109 = 0. Calculate the remainder when d is divided by 22.
21
Let a(s) = -s - 6. Let n be a(14). Let d = n + 69. What is the remainder when d is divided by 13?
10
Let x(d) = -d + 2. Suppose -3*z + 10 = -z. Let f = -5 + z. What is the remainder when x(f) is divided by 1?
0
Calculate the remainder when 3/(6/4) + (-132)/(-4) is divided by 10.
5
Let w(q) = 3*q + 6. Let v be w(-6). Calculate the remainder when 51 is divided by (-50)/(-4) + (-6)/v.
12
Suppose 3*m - 12 - 51 = -4*n, 4*m = 5*n - 71. Calculate the remainder when 117 is divided by n.
12
Suppose 5*i - 13 = -2*b, 3*i - 3 - 3 = -b. Let p be 5/(-2)*64/(-40). Suppose -84 = -p*j + 20. Calculate the remainder when j is divided by b.
8
Let l be 0/((4 - 3) + 0).