the remainder when ((-63)/(-12))/((-1)/(-4)) is divided by x?
5
Let v(q) = 6*q - 2. Let u be v(5). Suppose s + 3*s = -u. Let g = 18 + s. Calculate the remainder when g is divided by 4.
3
Let s be (-438)/18 - 1/(-3). Calculate the remainder when 6/s + (-81)/(-4) is divided by 12.
8
Suppose -9 - 16 = -5*w - 3*a, -w - 4*a = 12. Let k(l) be the first derivative of 4*l**3/3 - l - 3. Calculate the remainder when k(2) is divided by w.
7
Suppose 26 = y - 0*y. Calculate the remainder when y is divided by 10.
6
Let b = 32 - 18. What is the remainder when 95 is divided by b?
11
Suppose 93 = 5*t - 2*h, 32 = 3*t + 4*h - 3. Calculate the remainder when 460/16 + 4 + 1/4 is divided by t.
16
Let u(d) be the first derivative of 2*d**4/3 + d**2/2 + 2*d + 1. Let k(f) be the first derivative of u(f). What is the remainder when 25 is divided by k(-1)?
7
Suppose 0 = -3*m - 4*b + 8, 5*b - 4*b = 4*m + 2. Suppose -2*z + 14 = 2*h, m*h + h - 2*z = -2. What is the remainder when 13 is divided by h?
1
Let m = 52 + -17. Calculate the remainder when m is divided by 19.
16
Let u(t) = t**3 + 5*t**2 + 3*t + 3. Let x(p) be the second derivative of p**4/12 - p**3/6 + p**2/2 - 3*p. What is the remainder when u(-3) is divided by x(3)?
5
Let r(k) = k**2 - 5*k + 2. Let s be r(5). Let w = -420 + 437. What is the remainder when (s + -8)*16/(-3) is divided by w?
15
Let j(l) = -2*l + 2*l**2 + 2 + 2*l. Let s(u) = u**2 - 7*u - 10. Let b be s(8). Calculate the remainder when 28 is divided by j(b).
8
Let b = 78 + -51. Let l = 47 - b. What is the remainder when l is divided by 7?
6
Let a be 29 + (-4)/(-2) + 1. What is the remainder when 17 is divided by (-4)/(a/(-18))*4?
8
Let f = -74 - -51. Let g = f - -41. Suppose -6*j + 275 = -j + 3*k, 270 = 5*j + 2*k. What is the remainder when j is divided by g?
16
Let r = -6 + 14. Let a(v) = v**3 - 17*v**2 + 29*v + 30. What is the remainder when a(15) is divided by r?
7
Suppose -3*l - 3 = -3*i - 21, 0 = -5*i - 15. Suppose 2*v - 79 = -l. What is the remainder when v is divided by 13?
12
Let s be (-2 + 4)*(-1 + -11). Let t = -9 - s. Suppose -4*m + 154 - 40 = -d, 4*m = 3*d + 118. Calculate the remainder when m is divided by t.
13
Suppose -4*u + v + 0 = -1, 2*v = -10. What is the remainder when 43 is divided by 10 + -1 + (-2)/u?
10
Suppose 0*l = 4*l + 8. Suppose -20 = 4*o, -4*s + 2*o = o - 93. Calculate the remainder when s is divided by (0 + l)/((-1)/4).
6
Let m = 3 - 2. Let t = 8 - m. What is the remainder when 20 is divided by t?
6
Let m be (-4 + 1 + 2)*4. Let u(c) = c**3 + 5*c**2 - 3*c. What is the remainder when u(m) is divided by 10?
8
Let a = 97 - 80. Calculate the remainder when 46 is divided by a.
12
Suppose 4*y - 19 = m - 4, -2*m = 2*y. Suppose 7*z - 8*z + y = 0. Suppose 0 = 2*r - 0*r - 8. Calculate the remainder when r is divided by z.
1
Let y(i) = -2*i + 8. What is the remainder when 37 is divided by y(-6)?
17
Let j = 44 + -35. Calculate the remainder when 33 is divided by j.
6
Let a(r) be the first derivative of 5*r**2/2 + 1. Let x = 139 - 121. What is the remainder when x is divided by a(2)?
8
Let f = -15 - -24. What is the remainder when 24 is divided by f?
6
Let n(k) = k**3 + 2*k**2 - 2*k - 1. Calculate the remainder when 7 is divided by n(-2).
1
Let u be (60/(-8) + 1)*-2. Suppose -x + 1 = -u. Calculate the remainder when 25 is divided by x.
11
What is the remainder when ((-5)/(-5))/(4/292) is divided by 25?
23
Suppose 555 = 7*a + 261. Calculate the remainder when a is divided by -22*(-1 + 0/3).
20
Let s = 110 - 93. Let v(u) = 16*u**2 - 2*u - 2. Calculate the remainder when v(-2) is divided by s.
15
Let h = 204 + -189. What is the remainder when 55 is divided by h?
10
Let h(f) = -f**3 - 12*f**2 - 7*f - 2. Let l be h(-12). Suppose -2*k - 3 = 2*i - 79, -2*k - 5*i + l = 0. What is the remainder when k is divided by 10?
6
What is the remainder when 63 is divided by ((-8)/10)/((-19)/380)?
15
Suppose 30 = 2*y - 3*a, 2*y - 4*a = a + 38. Let g = 76 + -43. Calculate the remainder when g is divided by y.
6
Let u(t) = -t**2 - t. Let i be u(0). Suppose v - 70 = -5*n, -n + 4*n - 3*v - 60 = i. Calculate the remainder when n is divided by 8.
7
Suppose -125 = 5*i + 10. Let r = i + 17. Let m = r + 14. What is the remainder when m is divided by 3?
1
Let c = -2 - -5. Suppose -4*x = -n - 30, 2*n = 3*x - c*n - 31. Suppose 4*y + x*j - 64 = 3*j, 0 = j - 5. What is the remainder when y is divided by 4?
3
Let q(l) = 12*l**2 - 2*l - 1. Calculate the remainder when (-4)/8 + (-150)/(-4) is divided by q(-1).
11
Let l = 62 - 35. What is the remainder when 132 is divided by l?
24
Let w = 50 + 104. Suppose 4*t - 102 = w. What is the remainder when t is divided by 25 + -4 + 2 + -1?
20
Let u(t) = -t - 2. Let a be u(13). Let r = a - -18. Calculate the remainder when 5 is divided by r.
2
Let h(x) = 3*x**2 - 8*x - 22. What is the remainder when h(-7) is divided by 46?
43
Suppose -4*g + 104 = r, -5*g + 73 + 57 = 2*r. Calculate the remainder when 23 is divided by g*(-1 + 3/2).
10
Let z = -39 - -49. Calculate the remainder when 37 is divided by z.
7
Let v(b) = -16*b - 2. Let p(w) = -w**3 + 8*w**2 - 4*w - 5. Calculate the remainder when v(-2) is divided by p(7).
14
Let n(v) = 4*v. What is the remainder when 93 is divided by n(6)?
21
Let f = 2 + -4. Suppose 0*p + 2*p = -4*a - 10, -5*p - a + 2 = 0. Calculate the remainder when p is divided by (2/(-4))/(f/4).
0
Let z(t) = 2*t**2. Let g be z(3). Let y = g - 13. What is the remainder when 13 is divided by y?
3
Suppose -9 - 14 = -j + h, 5*h + 89 = 4*j. What is the remainder when 259 is divided by j?
25
What is the remainder when 3/4 + (-9)/((-288)/2120) is divided by 1/2 - (-132)/8?
16
Let b be ((-7)/(-4))/((-8)/32). Let i = 17 + b. What is the remainder when 37 is divided by i?
7
Suppose 4*f = 177 - 13. Let i(r) = 12*r**2 - r. Calculate the remainder when f is divided by i(1).
8
Let k be (3/2)/(1/(-12)). Let o(c) = 57*c**2 + 2*c - 1. Calculate the remainder when o(1) is divided by -2 + 4 - 0 - k.
18
Let p(k) = -k**3 + 9*k**2 - k + 9. Let v be p(9). Suppose v = 9*b - 4*b - 10. What is the remainder when 2 is divided by b?
0
Let u(k) = k**2 - 3. Let x be u(-3). Let s = 21 - x. Calculate the remainder when 27 is divided by (-6)/(-10) + 216/s.
12
Let c = 89 - 45. What is the remainder when c is divided by -15*3/6*-2?
14
Let b = 5 - 0. Suppose 0 = 5*m - 2*q + q - 54, -b*m = 5*q - 60. Calculate the remainder when 41 is divided by m.
8
Suppose 0 = y - 15. What is the remainder when y is divided by 4?
3
Suppose -109 = -3*x - w, -6*x + 2*w = -2*x - 152. What is the remainder when 143 is divided by x?
32
Suppose 0 = -7*l + 92 + 846. What is the remainder when l is divided by 27?
26
Suppose -2*s - p + 11 = 29, -20 = 3*s - 2*p. Let u(m) = -m**3 - 8*m**2 + 6. What is the remainder when 49/3 - (-4)/6 is divided by u(s)?
5
Let p = -15 - -50. Let r(k) be the first derivative of k**4/4 - 3*k**2/2 + 1. Calculate the remainder when p is divided by r(3).
17
Suppose 2*g = -0*g + 18. Let j(c) = -c**2 + 11*c - 2. What is the remainder when 45 is divided by j(g)?
13
Let d = -165 + 172. What is the remainder when 7 is divided by d?
0
Suppose 106 - 10 = 3*l. Calculate the remainder when 61 is divided by l.
29
Let y be 28 - 1/(-1) - 3. Let x = y - -2. What is the remainder when x is divided by 15?
13
Suppose 5*w + 6 = 4*o - 4, 4*o - 30 = -5*w. What is the remainder when (-4)/(-1 + -3 + w) is divided by 2?
0
Let t(l) = -2*l**2 - 3*l + 64. What is the remainder when t(0) is divided by 13?
12
Let d = 230 + -44. Suppose -b - 9 = -0*b. What is the remainder when (d/b)/2*-3 is divided by 11?
9
Suppose 3*l + 34 = 7*l + 2*q, 5*q + 5 = 0. Suppose -2*m + 5*m - l = 0. Calculate the remainder when m is divided by 1.
0
Let b(t) = -4*t + 1. Let j = 285 - 402. Let p = -67 - j. What is the remainder when p is divided by b(-4)?
16
Suppose -38 = -4*y - 2. What is the remainder when 25 is divided by y?
7
Suppose 28 + 28 = 4*v. Let n(z) = -4*z + 6. Calculate the remainder when n(-12) is divided by v.
12
Suppose -4*z = -0*z - 2*u + 42, 0 = -2*z - 2*u - 30. Calculate the remainder when -5 - (-6 - -3) - z is divided by 4.
2
Let f(s) = -15 + 15 - 11*s. Calculate the remainder when f(-2) is divided by 12.
10
Let x(s) = -3*s + 15. Calculate the remainder when x(-13) is divided by 14.