 remainder when h is divided by (16/(-3))/(7/(-21)).
15
Let q = -11 + 108. What is the remainder when q is divided by 14?
13
Suppose -2*u + 25 + 13 = 0. Let c = u + -8. Calculate the remainder when 20 is divided by c.
9
Let h(p) = -p**3 + 6*p**2 + 10*p - 9. Let y be h(6). Let q(v) = 11*v**3 + v + 2. Let d be q(2). Let a = d - y. Calculate the remainder when a is divided by 14.
13
Suppose 0 = -3*i + 5*m + 274, -307 = -4*i - 8*m + 3*m. Calculate the remainder when i is divided by 21.
20
Let p(k) be the second derivative of 13*k**5/4 - k**4/12 + k**2/2 - 6*k. Calculate the remainder when p(1) is divided by 22.
21
Let b(o) = o + 7. Let u be b(-7). Suppose u = 6*v - 2*v - 80. What is the remainder when 59 is divided by v?
19
Let x(w) = w**2 - 3*w + 3. What is the remainder when 50 is divided by x(5)?
11
Let w(a) = -a**2 - 8*a - 7. Let z be w(-6). Suppose -29 = -3*i - z. What is the remainder when 3 is divided by 8/10*20/i?
1
Suppose 5*i - 28 = 12. Calculate the remainder when 44 is divided by i.
4
Let m(s) = 5*s**2 + 10*s + 4. What is the remainder when m(4) is divided by 42?
40
Let n(b) = 34*b**2 + 9*b - 14. Calculate the remainder when n(2) is divided by 36.
32
Suppose 3*n = 16 + 20. What is the remainder when 106 is divided by n?
10
Suppose 9*t - 8*t - 40 = 0. Suppose -2*j + 21 = -j. Calculate the remainder when t is divided by j.
19
Suppose -3*a = 4*c - 31, 3*a - 3*c - 30 + 6 = 0. What is the remainder when 26 is divided by a?
8
Let q = 72 + -20. Calculate the remainder when q is divided by 29.
23
What is the remainder when (10/25 - (-6)/10)*118 is divided by 24?
22
Let w be (2/3)/((-20)/(-90)). Suppose x = 3*v - 31, -3*v + w*x + 21 = -2*v. Calculate the remainder when 15 is divided by v.
6
Suppose -2*v = -x - 8 + 2, -v + 3 = 0. Suppose -2*c = -p - 17, x*c + 30 = 3*c - 3*p. Suppose -548 - 73 = -23*d. Calculate the remainder when d is divided by c.
6
Suppose -3*j = -j - 122. Suppose 2*d - 1 = -2*l + j, 0 = -l + 2*d + 43. What is the remainder when 22 is divided by l/3 + 3/9?
10
Let u(s) = -s**3 + 8*s**2 - 8*s + 8. Let y be (-2 + 5)*4/3. Let c(o) = 5*o - 3. Calculate the remainder when u(6) is divided by c(y).
15
Let v = 5 + 4. Calculate the remainder when v is divided by (1 - (-11)/(-13)) + 1292/221.
3
Let i(g) = -g**3 - 7*g**2 + 11*g - 9. Let d(q) = 2*q**2 - 4. What is the remainder when i(-9) is divided by d(3)?
12
Let i = 9 + -9. Suppose 3*d + 2*w - 20 = 4*w, i = -d + 2*w. Calculate the remainder when d is divided by 4.
2
Let i(a) = -7*a - 45. Calculate the remainder when 127 is divided by i(-11).
31
Let t(g) = -g**2 - 6*g + 9. Let q be t(-7). Suppose -q*n + n = -15. Calculate the remainder when 28 is divided by n.
13
Let w = -35 - -42. Calculate the remainder when 19 is divided by w.
5
Suppose 0 = l - 2*w - 33, 0*l - 4*w - 33 = -l. Suppose 3*v - z = l, 0*v + 5*z - 15 = -3*v. Calculate the remainder when (-42)/((-2)/(-4) - 2) is divided by v.
8
Suppose r - 5*r = 5*k - 187, -5*k + 193 = r. What is the remainder when k is divided by 20?
19
Calculate the remainder when ((-10)/(-15))/((-4)/(-18)) is divided by 3.
0
Let g(n) be the third derivative of n**6/120 + 3*n**5/20 - n**4/12 + n**3/6 - 4*n**2. Suppose 6*d = d - 45. What is the remainder when g(d) is divided by 10?
9
Let l(m) = -2*m + 2. Let p be l(9). Let i = p + 97. What is the remainder when i is divided by 21?
18
Let p(v) = 5*v - 13. What is the remainder when 46 is divided by p(5)?
10
Let a = 22 - 19. Calculate the remainder when 7 is divided by a.
1
Suppose j - 2 = -0. Suppose 17 = 4*u + 1, 3*d - 134 = -j*u. What is the remainder when d is divided by 11?
9
Let s(n) = 2*n**2 + 6*n - 7. What is the remainder when s(4) is divided by 17?
15
Suppose -2*j = b - 25, 4*b + j = 2*j + 64. Suppose k - b = -3. Let x = 31 - k. What is the remainder when x is divided by 9?
8
Suppose 3*u - 3*x = -672, 0 = -5*u - 4*x + x - 1152. Calculate the remainder when 73 is divided by (1/3)/((-2)/u).
35
Suppose 0 = 2*i + 3*k - 38, -6*k = -2*k + 8. Calculate the remainder when 82 is divided by i.
16
Let z = 123 - 82. What is the remainder when z is divided by 22?
19
Suppose 0 = y - k - 4, -k + 4 = 3*y. What is the remainder when y/5 - (-123)/5 is divided by 7?
4
Let a(p) = p**3 + 7. Let h be (-6)/(-4) - 55/(-22). Suppose -4*x = h*c - 56, 0 = 2*x + 4*c + 2 - 34. Calculate the remainder when x is divided by a(0).
5
Let h be (-6)/4*86*-1. Suppose -5*u = -2*u - h. What is the remainder when u is divided by 15?
13
Let k = -10 + 12. Suppose 0 = -4*b + 5*z - 7, 2*z - 4 - 6 = 4*b. Let o = k - b. Calculate the remainder when 13 is divided by o.
3
Suppose -12*c + 8*c = -188. Calculate the remainder when c is divided by 12.
11
Suppose -3*x - 1 + 2 = -2*r, 2*r + 3*x = 29. Suppose -4*m + 96 = -m. Let z = m - 20. What is the remainder when z is divided by r?
5
Let d(n) = n**3 + 3*n**2 - 2*n - 1. Let g(t) = -5*t**2 + 0*t**2 + 2*t**2. Let c be g(1). Calculate the remainder when 14 is divided by d(c).
4
Let i(v) = -v**3 - 25*v**2 + 24*v + 41. Let q = 34 + -2. Calculate the remainder when i(-26) is divided by q.
29
Suppose 2*h + 34 = 4*i, 4*i - 3*h = -4*h + 43. Calculate the remainder when i is divided by 3.
1
Let k be (-2)/((-5)/(15/(-2))). Let d = 5 + k. Suppose 0*m - 44 = -4*p - 4*m, d*p - m = 19. Calculate the remainder when 29 is divided by p.
9
Let b(g) = g**2 - 7*g - 6. Let u be b(8). Suppose -2*o = 3*l - 25, 4*o + l - u*l = 15. Suppose 247 = o*s + 2. Calculate the remainder when s is divided by 17.
15
Let f = 4 + -3. Let h be (20/16)/(2/8). What is the remainder when h/(-2)*(-4)/5 is divided by f?
0
Let o = 47 - 36. What is the remainder when 54 is divided by o?
10
Suppose -5*m + 135 + 20 = 0. Suppose 0 = -3*w - 2*i - 0*i + 25, 0 = -w - 5*i + 30. Suppose -w = -x + 6. Calculate the remainder when m is divided by x.
9
Calculate the remainder when 52 is divided by (9/(-2))/(8/(-32)).
16
Let g(a) = -a**2 - 4*a + 1. Let j be g(-3). Suppose -j*c = -5*c + 73. Calculate the remainder when c is divided by 19.
16
Suppose -2*w = 3*w + 30. Let z be (-20)/w*(-12)/(-10). Suppose 4*a - 216 = z*r, -2*a + 4*r - 90 = -4*a. What is the remainder when a is divided by 13?
12
Let g = 13 + 3. Calculate the remainder when 47 is divided by g.
15
Let u(f) = -f + 7. What is the remainder when u(-6) is divided by 5?
3
Let l(y) = 8*y + 7. What is the remainder when l(5) is divided by 16?
15
Suppose -4*j + 272 = -56. Calculate the remainder when j is divided by 21.
19
Let z(g) be the second derivative of g**4/4 + g**3/6 - 5*g. Calculate the remainder when 7 is divided by z(-1).
1
Let m = -98 - -156. Let x = m - 27. What is the remainder when x is divided by 11?
9
What is the remainder when 2/7 + (-423)/(-63) is divided by 6?
1
Suppose -5*a = -5*p - 525, 4*a + 4*p - 412 = -0*p. What is the remainder when a is divided by 35?
34
What is the remainder when (-2)/7 - -11*117/21 is divided by 16?
13
Let y(f) = -f**3 - 4*f**2 + 6*f + 7. Let v be y(-5). Suppose w = 4*s - 187, -v*s - 2*w = -s - 58. Calculate the remainder when s is divided by 17.
14
Let x(o) = 9*o**3 + 2*o**2 + 16*o + 13. Let a(c) = 6*c**3 + c**2 + 11*c + 9. Let v(b) = 7*a(b) - 5*x(b). Calculate the remainder when 31 is divided by v(-2).
15
Suppose 5*p - 5*g = 290, -4*p + 214 = 3*g + 17. What is the remainder when p is divided by 11?
9
Suppose 0 = b + 3*u - 5*u + 7, -u + 7 = 3*b. Suppose -n - 4 = -0*n. Calculate the remainder when b is divided by n/8*(-4)/2.
0
Let p = -28 + 35. Calculate the remainder when 4/(-8) + 74/4 is divided by p.
4
Let l = -16 - -19. Suppose -2*f - l*f + 15 = 0. What is the remainder when 7 is divided by f?
1
Let z = 188 + -102. Calculate the remainder when z is divided by 22.
20
Calculate the remainder when 19 - 0/(-4) - -1 is divided by 11.
9
Let x = 157 + -105. What is the remainder when x is divided by 9?
7
Let m = 25 - 13. Suppose -4*f + 58 = 2*g, -6 = 2*f - 0*f. What is the remainder when g is divided by m?
11
Let c = -3 - -4. Let b be (c + 3/(-1))*-2. Suppose -2*l - b + 0 = 3*g, 0 = -g - 4. Calculate the remainder when 7 is divided by l.
3
Let i = 24 - 15. Let k(r) = -11*r**2 + 27*r - 1. Let p(u) = -7*u**2 + 18*u - 1. Let l(s) = 5*k(s) - 8*p(s). Calculate the remainder when 8 is divided by l(i).
2
Suppose 0 = -2*k - m + 39, 2*m = 3*k + 20 - 75. Calculate the r