- 2. Let b(w) = 3*w**2 - 16*w - 5. Let v(u) = -2*b(u) + 7*n(u). What is the remainder when v(-6) is divided by 13?
11
Let i(r) = -r**3 - 19*r**2 - 23*r - 45. Suppose -3*a - 2*a = -60. Calculate the remainder when i(-18) is divided by a.
9
Let u(t) = -t**2 + 6*t + 1. What is the remainder when 17 is divided by u(5)?
5
Suppose 11*w - 98 = 4*w. What is the remainder when 68 is divided by w?
12
Let b = 413 + -122. Suppose 0 = 4*t - 16, -9*t + 5*t + b = 5*q. Suppose -5*y + q = -220. What is the remainder when y is divided by 19?
17
Let j(c) = -5*c - 2. Let m = -10 + 20. What is the remainder when j(-4) is divided by m?
8
Let r be (-1)/((-3)/6) + -2. Let o(p) = -3*p + 1. What is the remainder when (-29 + r)/(-1) + -1 is divided by o(-3)?
8
Let a(o) = 2*o + 3. Let n be a(-8). Suppose -4*p + 9*p + 3*b = -27, p - 4*b = -10. Let h = p - n. Calculate the remainder when 12 is divided by h.
5
Let y(j) = -j + 10. Let n be -5 + 4 - (-14)/(-2). Let i be y(n). Suppose 4*f - i = f. What is the remainder when 17 is divided by f?
5
Let p be (-1 + (8 - 3))/(-2). Calculate the remainder when (-104)/12*(p - 1) is divided by 7.
5
Let c = -4 + 6. Suppose -c*x - 3*x = -165. Calculate the remainder when x is divided by 17.
16
Let j = 2 - -6. Calculate the remainder when 31 is divided by j.
7
Suppose -3*z = -20 - 85. Calculate the remainder when z is divided by 6.
5
Suppose 5*m + r - 97 = 0, -2*m + 4*m = 5*r + 28. What is the remainder when 67 is divided by m?
10
Let s(w) = w**2 - 5*w + 6. Let r be s(4). Suppose -d = 3*q - 32, -q + 4*d + r = -0*q. What is the remainder when 17 is divided by q?
7
Suppose 0 = -4*o + 5*f + 24, 5*o + 2 + 1 = -2*f. Suppose y = -0 + o. What is the remainder when 3 is divided by y?
0
Let x(k) = -k - 5. Let y(r) = 2*r - 3. Let q = -6 - -8. What is the remainder when y(q) is divided by x(-6)?
0
What is the remainder when (-123)/(-12) - -2 - (-3)/4 is divided by ((-21)/(-9))/(1/3)?
6
Let g = -151 + 95. Let o be (60/(-9))/(1/3). What is the remainder when 26 is divided by g/o*(1 + 4)?
12
Let u(q) = -q**2 - q + 14. Let v = -11 - -85. Suppose 147 = 5*o - 2*p - p, -2*o + 5*p + v = 0. What is the remainder when o is divided by u(0)?
13
Let h(i) = i**2 + 9*i + 19. What is the remainder when h(-8) is divided by 7?
4
Let u(f) = 7*f**2 - 3*f - 1. Let g be u(-2). Suppose -27 = -4*m + g. Calculate the remainder when 58 is divided by m.
13
Let i(c) = -c + 35. What is the remainder when 85 is divided by i(13)?
19
Let h = 156 + -67. What is the remainder when h is divided by 23?
20
Suppose 5 = -4*q + 3*q. Let p = q + 12. Suppose 4 = -d + p. What is the remainder when 7 is divided by d?
1
Let p be -8*3*(-2 - -1). Suppose -2*g + p = 2*g. Calculate the remainder when g is divided by 2.
0
Let r(n) = 15*n - 2. Let c = -59 + 114. Suppose -5*p = -5*w + c, -3*w - 3*p + 65 = 2*p. Calculate the remainder when r(4) is divided by w.
13
Let k(t) = -t + 1. Let o be (-3)/(-3)*(-1 - 6). Suppose -2*d + m - 54 = -6*d, -4*d = 2*m - 52. Calculate the remainder when d is divided by k(o).
6
Let g be ((-2)/4)/((-1)/(-12)). Calculate the remainder when 4/(-10)*20/(-1) is divided by ((-18)/15)/(g/15).
2
Let o be 1 - -1 - (2 - 5). Suppose -6 = o*i - 21. What is the remainder when 8 is divided by i?
2
Let s(o) = 4*o + 6. Let r = -14 + 23. Calculate the remainder when s(7) is divided by r.
7
Suppose -1 = 3*a + 5. Calculate the remainder when 3 is divided by 0*2/4 - a.
1
Suppose 0 = -2*d + 11 + 1. Calculate the remainder when 11 is divided by d.
5
Suppose -88 = -3*w + 62. Calculate the remainder when w is divided by 1*(0 - 26/(-2)).
11
What is the remainder when 3/(-27)*-3*(65 + -8) is divided by 6?
1
Let o(l) = -3*l - 5. Let u = -36 - -3. Let j = 63 + u. Calculate the remainder when j is divided by o(-7).
14
Let q be -1 - (3/(-3) + 0). Let c = q - -10. Let m(z) = z**3 - 5*z**2 + 4*z - 2. What is the remainder when m(5) is divided by c?
8
Suppose -4*v + 18 + 129 = -3*z, -v + 48 = -3*z. Suppose 5*b + 24 = -2*x + 4*x, -42 = -2*x - 4*b. Calculate the remainder when v is divided by x.
16
Suppose 2*u - 290 + 32 = 0. What is the remainder when u is divided by 26?
25
What is the remainder when 397 is divided by 8/(((-42)/12)/(-7))?
13
Suppose 4*b + 16 = 3*q, -2*q + 3*q - 3*b + 3 = 0. Calculate the remainder when 32 is divided by q.
8
Suppose 5*o - 1 = -g, -3*o = -4*g + 2*o + 54. What is the remainder when 65 is divided by g?
10
Let m = 2 + -3. Calculate the remainder when ((-12)/20)/(m/95) is divided by 20.
17
Let f = -17 - -34. Suppose -h - w = -f, 3*h - 45 = -0*w - w. Let s(z) = 2*z**2 - 2*z - 1. Calculate the remainder when s(-4) is divided by h.
11
Suppose 0 = -2*y - 4*z + 14, -5*z + 21 + 3 = 3*y. Suppose n - 103 = -4*b + y, 0 = -5*b - 5*n + 145. What is the remainder when b is divided by 10?
9
Suppose 2*i = 4*i - 76. Suppose -2*j - 6 = 4*f - 114, 3*j + i = 2*f. Calculate the remainder when f is divided by 9.
7
Let s = -22 + 16. Suppose -7*n = -6*n - 9. Calculate the remainder when (4/s)/(8/(-204)) is divided by n.
8
Let x = 18 - 0. What is the remainder when 33 is divided by x?
15
Suppose -2*i + 30 = 3*z, -5*z - 4*i + 30 = -2*z. Let w(m) = 2*m + 3. What is the remainder when w(7) is divided by z?
7
Suppose 2*d + z = 18, -3*z + 27 = -d + 4*d. Let w be (-3)/(-2*d/1272). Suppose 3*p - w = 7. Calculate the remainder when p is divided by 19.
16
Suppose 5*b - 3*d - 71 = 0, -2*b + 32 = 2*d - 6. Suppose f - b = -f. What is the remainder when f is divided by -4 + 1 + (11 - 3)?
3
Let i = -12 + 23. Calculate the remainder when 18 is divided by i.
7
Let g = -49 + 57. Calculate the remainder when 13 is divided by g.
5
Suppose -3*o = -4*o - 3, 5*o = 4*y - 51. Suppose 13 = 3*k - 2*w, 5*k + 2*w = 5*w + 22. What is the remainder when y is divided by k?
4
Let y(n) = n + 1. Let s(m) = -m**2 - 8*m + 1. Let b(l) = s(l) - 2*y(l). Calculate the remainder when 59 is divided by b(-8).
14
Let o = 58 + -20. Calculate the remainder when o is divided by 10.
8
Suppose -3*l = -2*t + 33, -6*l = 2*t - l - 41. Calculate the remainder when 51 is divided by t.
15
Let c = -55 - -87. What is the remainder when 61 is divided by c?
29
Suppose -r = -3*n + 2*r + 54, -4*n - r + 97 = 0. Let i = n + 95. What is the remainder when i is divided by 30?
28
Let a(f) = 3*f - 1. Let q be a(1). Suppose -14 = -3*g - q*b, 0*g - 2*g + 3 = -5*b. What is the remainder when 19 is divided by g?
3
Let p = 19 + -12. What is the remainder when 54 is divided by p?
5
Let k(f) be the first derivative of 61*f**4/12 + f**2/2 - 4*f + 3. Let i(z) be the first derivative of k(z). What is the remainder when i(-1) is divided by 16?
14
Let q(w) = -42*w**3 + w**2. Let t be q(-1). What is the remainder when (1 - 3 - -2) + t is divided by 11?
10
Let p(i) = i**2 - 4*i - 2. Let h = 128 + -73. What is the remainder when h is divided by p(-3)?
17
Calculate the remainder when 58 is divided by 1 + (-20)/(-4) + 4.
8
Suppose 3*x + q = 3*q + 53, 0 = 3*q - 6. What is the remainder when x is divided by 7?
5
Suppose -v + 33 = 3*z + 2*v, 10 = -5*v. What is the remainder when 35 is divided by z?
9
Suppose -3*c = -t - 230, 3*c + 0*t = 4*t + 245. What is the remainder when c is divided by 11?
9
Calculate the remainder when 45 is divided by ((-2)/(-6))/((-1)/(-24)).
5
Let h(d) = 5*d + 5*d**2 + 4*d - 6*d**2 - 2. What is the remainder when 22 is divided by h(8)?
4
Let s = -2 - -2. Suppose s*i + l = -i + 28, 3*l - 3 = 0. Calculate the remainder when i is divided by 7.
6
Suppose -k = -4*k + 12. Suppose -k*d + 2*d = -18. Suppose -4*b + 0*b = 2*s - 32, 16 = s + 5*b. What is the remainder when s is divided by d?
7
Suppose -24 = -4*p + 24. Calculate the remainder when 29 is divided by p.
5
Suppose 0 = 4*o - 2*o - 42. What is the remainder when o is divided by 8?
5
Let t = 34 + -16. Suppose 3*c + 3*g = 5*c - 20, 5*c = 3*g + 41. Calculate the remainder when t is divided by c.
4
Let j(y) = y**2 + 5*y - 2. Let k be j(-6). Let n = k + 1. Suppose 2*i - 6*i + 4*l = -220, -3*i + n*l = -175. Calculate the remainder when i is divided by 17.
16
Let n(v) = v**2 + 3*v + 2. Let u be n(-2). Suppose u = j + j - 38. Suppose c + 1 = p - 5, -2*c = -8. What is the remainder when j is divided by p?
9
Let y(x) = 11*x**2 - 29*x + 31. Let i(q) = 17*q - 9 - 3*q - 5*q**2 - 5 - 1. Let n(u) = -9*i(u) - 4*y(u). Cal