2 = 0. Calculate the remainder when d is divided by 3.
1
Let l be 186/(-4)*((-16)/(-12))/(-2). Let w = 41 - l. Calculate the remainder when w is divided by 3.
1
Suppose -577 = -f - 3*x, 3*f = 7*f + 4*x - 2268. What is the remainder when f is divided by 30?
22
Let i(x) = -9*x + 16. What is the remainder when i(-9) is divided by 27?
16
Let q(w) = w**2 + 4*w - 1. Let s be q(3). Let r = 139 - s. Calculate the remainder when r is divided by 20.
19
Let u(a) = 13*a**3 - 1. Let j(v) = -12*v - 2. Let c be j(2). Let n = c - -47. What is the remainder when n is divided by u(1)?
9
Suppose s = b - 27, -b + 0*s + 39 = -4*s. Let c = 22 - 9. What is the remainder when b is divided by c?
10
Suppose 2*u - 120 = -3*u - 5*b, 0 = -5*b + 10. Let s be 22/5 - (-14)/(-35). Suppose s*m - 26 = u. What is the remainder when m is divided by 3?
0
Suppose 8*m + 6 = 6*m. Let x be 1 + -1 + 0 - -35. Let p = x - m. What is the remainder when p is divided by 13?
12
Let o(c) = -3 + 3*c - 6 + 10*c - 2. Calculate the remainder when o(2) is divided by -2 - (-1 - 1)*3.
3
Let j(m) = -m**3 - 5*m**2 - 6*m - 5. Let v(x) be the first derivative of 2*x**4 - x**2 + x - 3. Calculate the remainder when v(1) is divided by j(-4).
1
Suppose -2*a - a + 107 = -2*i, 32 = a + 3*i. What is the remainder when 79 is divided by a?
9
Suppose -35*c = -34*c - 2*u - 26, -3*u = -5*c + 95. Calculate the remainder when 73 is divided by c.
9
Let r = -374 - -386. Calculate the remainder when 34 is divided by r.
10
Suppose 0 = -2*u + 5*l + 43, -3*u = -5*l - 65 + 3. What is the remainder when u is divided by 8?
3
Suppose 4*s + 272 = 4*d, 5*d = 3*d - 3*s + 156. Let b = -34 + d. What is the remainder when 112 is divided by b?
36
Suppose 4*u - 801 = -3*o, 0 = -5*o - 4*u + 3*u + 1318. Calculate the remainder when o is divided by 38.
35
Let h = -29 + 81. Let r = h - 21. Calculate the remainder when r is divided by 16.
15
Let d(x) = -9*x - 2. Calculate the remainder when d(-11) is divided by 1*((-8)/(-8) + 19).
17
Let w(h) = 5*h**2 - 2*h - 2. Let f = -5 + 8. Let l(a) = -a + 13. What is the remainder when w(f) is divided by l(3)?
7
Suppose -152 = -2*c + 36. Calculate the remainder when c is divided by 76/(-10)*(-115)/46.
18
Let l = 134 + -129. Let j = l + 41. Calculate the remainder when 136 is divided by j.
44
What is the remainder when 69 is divided by ((-54)/21)/((-45)/420)?
21
Let s(l) = -l**3 - 13*l**2 + 23. Calculate the remainder when s(-14) is divided by 11.
10
Suppose 18*d + 0*d - 756 = 0. What is the remainder when 62 is divided by d?
20
Let k be ((-9)/(-3) + -3)/3. Let u(m) = -m**3 + 3*m**2 - m + 119. Calculate the remainder when u(k) is divided by 15.
14
Let g = -2 - -11. Suppose -32 = 55*l - 63*l. What is the remainder when g is divided by l?
1
Let z be 2 + 14/(-8) - (-118)/8. Suppose 0 = -10*f + z*f - 125. Let j(r) = -3*r - 5. What is the remainder when f is divided by j(-6)?
12
Let v(r) = -r**3 + 3*r**2 + 4. Let z be v(3). Let n(t) = 2*t + 7 + 0*t**2 - 6 - 3*t**2 + 4*t**2. What is the remainder when n(z) is divided by 14?
11
Suppose -139 + 49 = -2*v + 2*f, 3*v + 2*f = 145. Calculate the remainder when 102 is divided by v.
8
Let m(x) = x**3 + 4*x**2 + x + 2. Suppose -39*z = -37*z - 4. Suppose -57 - 3 = -z*d. Calculate the remainder when d is divided by m(-3).
6
Let f be (0 - -15)*((-2)/2)/1. Let i be 12/9*3/(-2). Calculate the remainder when (f/(-6))/(i/(-28)) is divided by 9.
8
Let i = 67 + -38. Suppose 110 - 41 = 3*k + 3*y, k = y + i. Let c(q) = -42*q - 8. What is the remainder when c(-2) is divided by k?
24
Calculate the remainder when 180 is divided by ((-32)/(-40))/((-2)/(-125)).
30
Suppose 3*j + 3668 = m, 0 = -j - 4*j - 2*m - 6095. What is the remainder when 3/12 - 5/(60/j) is divided by 26?
24
Let y be (-6)/15 + (-68)/(-20). Suppose -2*q + 5 = y. Calculate the remainder when 33 is divided by q/((-2)/(-54)*3).
6
Calculate the remainder when 13/(416/7420) - 2/(-16) is divided by 18.
16
Let u(a) be the third derivative of -a**6/120 - a**5/20 - a**4/12 - a**3/6 - a**2. Calculate the remainder when 34 is divided by u(-3).
4
Suppose -5*q - 4*d + 198 = 0, 0 = q + 4*q + 5*d - 200. Let l = -8680 - -8690. What is the remainder when q is divided by l?
8
Let h(s) = s - 35. Let t be h(-11). Let b = t - -52. Suppose 3*m = -0*m + 27. Calculate the remainder when m is divided by b.
3
Let u(d) = -d**3 - 7*d**2 - 8*d + 5. Let f be u(-4). Let j(h) = h**2 + 9*h + 12. Calculate the remainder when 63 is divided by j(f).
29
Let w be ((-3)/(-6))/(4/32). Suppose -w*g + 72 = 5*l, l + l = -3*g + 33. Suppose 0*f - f - 3 = 0, 5*o - 5*f = 240. What is the remainder when o is divided by l?
9
Suppose 4*f + 386 = 2*q, -f + 5*q - 23 = 51. Let d = -23 - 36. Let w = d - f. Calculate the remainder when w is divided by 14.
12
Let y = 99 + -74. Suppose 0*g = 5*g - 45. What is the remainder when y is divided by g?
7
Let u(q) = 2*q**3 - 11*q**2 - q - 12. Calculate the remainder when 444 is divided by u(6).
12
Let q = -73 - -78. Suppose 5*f + 0*f = q*h + 165, 0 = -5*h. Calculate the remainder when f is divided by 21.
12
Let f(x) = 2*x**2 - 8*x - 3. Let o = 67 - 63. Suppose -o*z - 221 = -n - 2*n, 0 = 5*z - 20. Calculate the remainder when n is divided by f(6).
16
Suppose 2*t = 15 + 57. Suppose -5*l - 3*j + 74 = -4*l, 147 = 2*l + 5*j. Calculate the remainder when l is divided by t.
35
Suppose 9*h + 0*h - 657 = 0. Let y = h - 60. What is the remainder when 21 is divided by y?
8
Suppose 3*n - 8*m - 73 = -6*m, -3*n + 58 = m. Calculate the remainder when 77 is divided by n.
14
Let f(b) = -6*b + 170. Calculate the remainder when f(5) is divided by 71.
69
Let c(x) = -x**2 - 3*x + 11 - x**2 + x + 3*x. What is the remainder when 54 is divided by c(0)?
10
Suppose 51*s - 10248 = -117*s. Let h(x) be the first derivative of -x**4/4 - 2*x**3 - 2*x**2 - 3*x - 2. What is the remainder when s is divided by h(-6)?
19
Suppose -2*k - 2*u - 2*u + 96 = 0, k - 36 = 4*u. Calculate the remainder when k is divided by 12.
8
Suppose -5*c + 21 + 14 = 0. Suppose 2*d - 2*w = 50, -3*d + c*d = 5*w + 100. What is the remainder when d is divided by (1*-3)/(2/(-6))?
7
Let y(f) = 2*f + 3*f - f - 1. Suppose 0 = -c + 3*j + 15, -3*c + c + 2*j + 14 = 0. What is the remainder when 20 is divided by y(c)?
9
Let s(h) = -h**2 + 10*h - 7. Let p be (-2)/4 - (-19)/2. Let m be s(p). Suppose -m*b = -22 - 6. Calculate the remainder when b is divided by 4.
2
Let n = -14 + 19. Suppose n*u + 0*l = -3*l + 521, u - 107 = -2*l. What is the remainder when u is divided by 15?
13
Let r(x) = x**2 + 9. Let o = -108 - -49. Let w = o - -93. Calculate the remainder when w is divided by r(0).
7
Let p = 36 + -27. What is the remainder when (-3)/(p/(-97)) - (-4)/6 is divided by 12?
9
Let s(d) = -d**3 + 2. Let y = 40 + -42. Calculate the remainder when 36 is divided by s(y).
6
Let h be 1 - (1 - 3) - (-30)/3. Suppose 0*v = v - h. What is the remainder when 48 is divided by v?
9
Calculate the remainder when ((-273)/6)/(-7)*(-2 - -24) is divided by 78.
65
Let o = -339 - -372. What is the remainder when 657 is divided by o?
30
Let b be (-10)/25 - 72/(-5). Suppose -5*u + 70 = 4*s, b + 21 = 4*u - s. Let a(x) = -x**2 + 12*x + 3. Calculate the remainder when a(6) is divided by u.
9
Let n = -187 - -193. What is the remainder when 15 is divided by n?
3
Let p(m) = -9*m + 62. What is the remainder when p(-29) is divided by 81?
80
Let z = -10 - -2. What is the remainder when 11 - (4 + -8 - z) is divided by 3?
1
Let g(b) = 167*b**2 - b - 1. Let z be g(1). Suppose a = -29 + z. Suppose -2*d + 86 + a = 0. Calculate the remainder when d is divided by 19.
16
Suppose -6*t + 8*t + 76 = 2*q, -q + 50 = -4*t. Calculate the remainder when q is divided by 27.
7
Let i(d) = -2*d**3 - 10*d**2 + 11*d + 23. Calculate the remainder when 51 is divided by i(-6).
22
Let i(p) = -4*p + 97. What is the remainder when i(14) is divided by 4?
1
Suppose 0 = -4*x - x + 465. Let h(i) be the second derivative of 6*i**5/5 + i**3/6 - i**2/2 + i + 13. Calculate the remainder when x is divided by h(1).
21
Let h(z) = 18*z - 41. What is the remainder when 38 is divided by h(3)?
12
Let m be (-1 + -1)/(2/(-8)). Suppose 55 = m*p - 81. Calculate the remainder when p is divided by 10.
7
Let r = 6 + 2. Let z(j) = 3*j - 13. Let c be 7*(144/(-21))/(-4). Calculate 