late the remainder when n is divided by 17.
16
Let i = 12273 - 12255. Calculate the remainder when (-1)/((1/70)/(-1)) is divided by i.
16
Suppose 33*a - 27*a = 462. What is the remainder when a is divided by 16?
13
Let i = 36 + -24. Calculate the remainder when -4 + 16*(-5)/(-20)*9 is divided by i.
8
Suppose -2*x - 11 = -35. What is the remainder when 93 is divided by x?
9
Let u(j) be the third derivative of j**6/120 + 13*j**5/60 + j**4/2 + 7*j**3/6 + 17*j**2. What is the remainder when 25 is divided by u(-12)?
4
Suppose 2*n + 6 - 18 = 0. Let a(r) = r + 6. Let t = -2770 - -2775. What is the remainder when a(n) is divided by t?
2
Let r = -1 - -5. Suppose -r*z = -23 - 33. Let c = 99 - 44. What is the remainder when c is divided by z?
13
What is the remainder when 75 is divided by (-52)/3*9*(-9)/54?
23
Suppose 7*z = 3*z + 2*q + 224, -3*z = 5*q - 194. Let n(h) = 2*h**2 + 4*h + 4. Let a be n(6). Let j = a - z. What is the remainder when j is divided by 11?
9
Let k = -7 + 474. What is the remainder when k is divided by 18?
17
Let j = 27 - 25. Suppose -5*w = -4*l + 6 + 41, -3*l = j*w - 18. What is the remainder when 70 is divided by l?
6
Let r(c) = 3*c. Let q be r(-4). Let v = 14 + q. Suppose -v*x + i + 4 = -10, 41 = 5*x - 4*i. Calculate the remainder when x is divided by 3.
2
Suppose 5*o - q = -4, -2*q + 4 = -6*q. Let m be (2 + -3)/(o/(-24)). Let d = 34 + m. Calculate the remainder when 39 is divided by d.
9
Let j = 17 - 29. Let k be 14*(-5)/30*j. Suppose 11 = 2*y - 3*m, -3*y + 4*y + 3*m - k = 0. What is the remainder when 38 is divided by y?
12
Suppose -37*m = -40*m + 387. What is the remainder when m is divided by 27?
21
Let u(d) = 231*d**2 + 2*d - 1. What is the remainder when u(1) is divided by 47?
44
Suppose i = 3*i - 6. Suppose i*q = q - b + 27, -2*q + b = -25. Calculate the remainder when q is divided by 7.
6
Suppose 348 = 3*c + 4*i, -c = -3*i - 151 + 48. What is the remainder when c is divided by 24?
16
Suppose i + i - 2*w = 16, 2*w = -3*i + 14. Suppose 4*j = -c + 33, -3*j - 138 - 36 = -3*c. What is the remainder when c is divided by i?
5
Let v be (-7)/((-21)/(-216)) - -2. Let a be 28/v + (-106)/10. Let n = 46 + a. What is the remainder when n is divided by 12?
11
Let x = 573 + -351. What is the remainder when x is divided by 28?
26
Suppose -3*u = 2*m - 2, 5*u = -3*m + 1 + 3. Let t(x) = x**2 + 2 - 2 - u. What is the remainder when t(-5) is divided by 6?
5
Suppose 13*b - 368 = 1790. Calculate the remainder when b is divided by 26.
10
Suppose -21 - 39 = -4*g. Suppose g + 9 = 4*o. Suppose c - o*c + 115 = 0. What is the remainder when 91 is divided by c?
22
Let c be (2 + -3)/((-3)/18). Suppose c*i = i + 70. What is the remainder when -1 + 25 + (-6)/(-2) is divided by i?
13
Let j = -189 - -292. Calculate the remainder when j is divided by 5.
3
Suppose -7*h + 14 = -21. Suppose -h*j = -107 + 7. Let d(v) = 60*v**2 + v. What is the remainder when d(-1) is divided by j?
19
Suppose -875 = -7*p - 322. Calculate the remainder when p is divided by 23.
10
Suppose -4*u - 5*z = -6*u - 10, 17 = 5*u - 2*z. Suppose -3*x + 19 = 2*b, b = -0 + u. Calculate the remainder when 16 is divided by x.
1
Suppose -3*x + 5*x + 4*s - 732 = 0, 0 = -4*x + 3*s + 1442. Calculate the remainder when x is divided by 100.
62
Let q(w) = 2*w**2 - 3*w. Let l = -600 + 773. Calculate the remainder when l is divided by q(5).
33
Suppose 47*g = 41*g + 66. What is the remainder when g is divided by 7?
4
Let z = -171 - -272. Suppose 0*x + 39 = x. Suppose 0*j + p + z = 4*j, 3*p + x = j. What is the remainder when j is divided by 9?
6
Suppose 3*t - 348 = 3*x, -t + 3*x = 12 - 134. What is the remainder when t is divided by 26?
9
Suppose -p + 5*a = -448, 3*p - 3*a + 4*a = 1264. What is the remainder when p is divided by 53?
52
Suppose -15 = -3*s - q - 4, 0 = s - q - 9. Suppose 2*a - 40 = -4*m, 4*a - m - 80 = -s*m. What is the remainder when 59 is divided by a?
19
Suppose 67*f = 53*f + 154. What is the remainder when 103 is divided by f?
4
Suppose 0 = -5*m - 5*b + 185, -4*b - 13 - 37 = -2*m. Calculate the remainder when 68 is divided by m.
2
Let q = 208 + -148. Calculate the remainder when q is divided by 43.
17
What is the remainder when 221 is divided by (0 + 0/(-4))/(-1) + 45?
41
Suppose -3*b = 4*x - 5*b - 128, 0 = 4*x - b - 126. Let n(z) = z**2 - 3*z - 32. What is the remainder when x is divided by n(-5)?
7
Let l(z) = 15*z + 142. Calculate the remainder when 674 is divided by l(-6).
50
Let v(x) = -x - 12. Calculate the remainder when 5/20 + 0 - (-225)/12 is divided by v(-15).
1
Let z be 3/(-3 - -4)*-1. Let h(s) = 2*s - 4 + 0*s**2 + 2*s**2 + 11. What is the remainder when h(z) is divided by 10?
9
Suppose -141 = -70*r + 67*r. Suppose 0 = 3*i - r - 10. Calculate the remainder when 49 is divided by i.
11
Suppose 25*j = 1150 + 1875. Calculate the remainder when j is divided by 119.
2
Let c(h) = h - 4. Suppose 0 = o + 5*s + 2, -3*s = 4*o - 43. Suppose -2*t + 24 = 2*t. Calculate the remainder when c(o) is divided by t.
3
Let x = 406 - 213. Let w = x - 113. Calculate the remainder when w is divided by 9.
8
Suppose a - 19 = -4*l, -2*l + 22 = 2*l - 2*a. Suppose 2*f - l = 43. What is the remainder when 45 is divided by f?
21
Let q be -4 - (-4 + -38 - (4 - 2)). Let b = q - 32. Calculate the remainder when 28 is divided by b.
4
Let d = -15 - -31. Let n(c) = 136*c - 601. Calculate the remainder when n(5) is divided by d.
15
Suppose 4*p + 5*x - 41 - 268 = 0, 4*x = -p + 80. What is the remainder when p is divided by 21?
13
What is the remainder when ((4 - 3)/(-2))/((-2)/1596) is divided by 20?
19
Let w(j) = j**2 - 9*j - 1. Let a(o) = 0 - 3*o + 14*o - 3 - 1. What is the remainder when w(-5) is divided by a(2)?
15
Suppose 0*f - 131 = 2*r + 3*f, -2*f + 318 = -5*r. Let h = 103 + r. Calculate the remainder when 154 is divided by h.
37
Suppose -15*o + 19*o - 184 = 0. Calculate the remainder when o is divided by 24.
22
Let z = 45 - 43. Calculate the remainder when (32 - (z + -6))/((-2)/(-3)) is divided by 15.
9
Let k = -17 - -37. Let i be (-1)/3 + (-1)/(-3). Suppose -u + 4 = -4*t + 64, i = -5*u - k. Calculate the remainder when 68 is divided by t.
12
Let z = -11 - -94. Let a(h) = h**2 - 20*h + 112. What is the remainder when z is divided by a(6)?
27
Suppose 4*s - 22 = 6*u - u, 0 = -s + 2*u + 4. Calculate the remainder when 3 + -2 + (38 - 0) is divided by s.
7
What is the remainder when 11 + -7 + 102 + 12 is divided by 40?
38
Let j(p) = 7*p**2 + 14*p + 2. Let b be j(-2). Suppose 5*y = 2*r - 120, -y = -r - b*y + 53. Calculate the remainder when r is divided by 15.
10
Let u = 2794 + -2714. Calculate the remainder when 262 is divided by u.
22
Let d(j) = -2*j**3 + 11*j**2 - 12*j. Let b(h) = -h**3 + 6*h**2 - 6*h. Let k(z) = 13*b(z) - 6*d(z). What is the remainder when k(11) is divided by 14?
13
Let j = 127 - 124. Suppose -2*i = 3 - 7. Suppose 5*t - 2*p = -5, i*t + 5 = p + 2. What is the remainder when j is divided by t?
0
Suppose 5*k = 33 + 7. Suppose 13*a = 10*a + 12. Suppose -5*y - a*z = -55, 3*y - 49 + 9 = -z. What is the remainder when y is divided by k?
7
Suppose 0*h - h = -4*u - 1, h - 3 = 2*u. Calculate the remainder when (-140)/(-6) + (-1)/3 is divided by (-3)/u + 2 - 0 - -13.
11
Let c(k) = k**2 - 5*k - 2. Let r(i) = 2*i**2 + 23*i + 11. Let d = 44 + -56. Calculate the remainder when r(d) is divided by c(6).
3
Suppose -4*q - 4 = 0, 0 = -2*h + 7*h - 2*q - 122. Let g = 46 - h. Let k = 125 + -82. What is the remainder when k is divided by g?
21
Calculate the remainder when 144 - -9*4/(-6) is divided by 64.
10
Let w(l) = -l**3 - 11*l**2 - 12*l - 11. Let q be 2/(-2)*(15 - (-15)/(-3)). Calculate the remainder when 23 is divided by w(q).
5
Let g = -4 - 8. What is the remainder when 43 is divided by -19*-3*-1*4/g?
5
Suppose -3*p + d = -21, -3*p - 4*d + 52 = 16. What is the remainder when 133 is divided by p?
5
Suppose -4761 = 68*j - 26657. Calculate the remainder when j is divided by 54.
52
Suppose 114 = 3*u - n, 0*u + 5*n + 24 = u. Suppose -9*r + u = -33. What is the remainder when (-2)/(-9) - (-392)/18 is divided by r?
6
Let v(f) = 2*f**2 - f. What is the remainder when 100 is divided by v(3)?
10
Suppose 10*q - 13*q = -1827. What is the remainder when q is divided by 51?
48
Let d = -40 - -44. Suppose -5*n = 5*v - 16