e -9*j = 3*j - 1968. Let p = j - 142. What is the remainder when 85 is divided by p?
19
Let t(f) = 3*f + 7. Suppose 3*b + b - 36 = 0. Calculate the remainder when 2 - b*(-2 - 0) is divided by t(0).
6
Let l(g) be the third derivative of -g**6/120 - g**5/12 - 7*g**4/24 + 4*g**3/3 + g**2. Let p be l(-6). What is the remainder when (2/2)/(2/p) is divided by 15?
13
Let t(b) = b**2 - 5*b - 7. Let s(p) = p + 3. Let o be s(4). Calculate the remainder when 13 is divided by t(o).
6
Let w(h) = h**3 - 23*h**2 + 27*h - 42. Let p(c) = c**2 - 3*c - 4. What is the remainder when w(22) is divided by p(6)?
12
Let g = -11 + 12. Suppose -4*l = -4, d + 0 = 4*l + g. Suppose -5*k + 40 - d = 0. What is the remainder when 19 is divided by k?
5
Let d = -482 + 1089. Calculate the remainder when d is divided by 87.
85
Suppose -72 = -5*c + 4*m + 73, -m + 20 = c. Suppose 15 = 3*l - 3*h, -2*l + 6 = -3*h - 0. Calculate the remainder when c is divided by l.
7
Let p = -25 + 46. Let u be (-82)/(-7) - (-6)/p. Suppose u = b - 10. What is the remainder when b is divided by 6?
4
Suppose 45 = 2*q + 17. Let v = -85 - -86. Suppose -2*w - 49 = -z, 113 = 2*z + 4*w - v. What is the remainder when z is divided by q?
11
Suppose 0 = -0*p + 5*p + 5*m - 215, m + 233 = 5*p. What is the remainder when 183 is divided by p?
45
Let r = 1237 + -1156. What is the remainder when r is divided by 17?
13
Suppose 1 = 4*y + 9. Let l = y - -17. Suppose 5*i = -f + 42, 4*f + 3*i - 177 - 42 = 0. Calculate the remainder when f is divided by l.
12
Suppose 0 = w + 5*h - 3*h - 96, -4*w - 2*h = -402. What is the remainder when w is divided by 21?
18
Suppose -4*g = 9 - 49. Calculate the remainder when (-26 + -1)*(-10)/15 is divided by g.
8
What is the remainder when 35/(5 + 7*(-12)/18) is divided by 9?
6
Let z(r) = 4*r**2 - 14*r + 0*r**2 - 3*r**2. Let a be z(15). Let x = a - -23. Calculate the remainder when x is divided by 10.
8
Let f = 202 - 67. What is the remainder when 669 is divided by f?
129
Let w(a) = 2*a**2 + 2*a + 1. Let d = 4 - 2. Suppose 4*j + 0*j - 4*r = 96, -34 = -d*j - 5*r. Calculate the remainder when w(-5) is divided by j.
19
Let s(o) = o**2 + 15*o - 16. Calculate the remainder when 187 is divided by s(-18).
35
Suppose 13 = c + 4*y, -4*c - 5*y + 0*y = -30. Suppose -2*q - f + 1 = -11, -4*f = c*q - 27. What is the remainder when 11 is divided by q?
4
Suppose -120 = 4*o + 84. Let s = o - -91. Suppose -2*a - 2*a = -44. What is the remainder when s is divided by a?
7
Calculate the remainder when 177/(-2)*(7 - (-87)/(-9)) is divided by 14.
12
Suppose 2*w = v - 26, v + 2*w + 7 = 45. Calculate the remainder when 79 is divided by v.
15
Suppose 230 = 15*x - 175. What is the remainder when 105 is divided by x?
24
Let w = -20 - -45. Suppose -165 = w*k - 30*k. Calculate the remainder when 131 is divided by k.
32
Suppose 0 = -2*p - 2*p + 2*o + 528, -5*p + 651 = -o. Calculate the remainder when p is divided by (-12)/9*15/(-2).
9
Let o(h) = -2*h**3 + 8*h**2 + 3*h - 2. Let u be o(4). Let s(w) = -w**3 + 10*w**2 + 2*w - 8. Calculate the remainder when s(u) is divided by 5.
2
Let j = 197 + -170. Calculate the remainder when 59 is divided by j.
5
Let i = -205 - -79. Let w = -116 - i. What is the remainder when 28 is divided by w?
8
Let w = 25 - 2. Let g = 2781 + -2692. What is the remainder when g is divided by w?
20
Suppose 26 = t + a, -t - 5*a + 55 = t. Let n = 25 - t. Suppose -46 = -5*b - 2*q - n, 0 = -b - 5*q. Calculate the remainder when 27 is divided by b.
7
Let v be 1 - 1 - 4 - 0. Suppose 4*n - 5*f - 1 - 40 = 0, 5*n - 3*f - 48 = 0. What is the remainder when v/(-10) + (-272)/(-20) is divided by n?
5
Let z(m) = -m**2 - 71*m - 42. What is the remainder when z(-63) is divided by 31?
28
Let y be (-24)/10*(-25)/10. Let p(s) = 3*s**2 - 10*s + 11. Let g be p(y). Let r = -39 + g. Calculate the remainder when 38 is divided by r.
18
Let d = 215 - -33. What is the remainder when d is divided by 18?
14
Let b be 0*3*(-5)/30. Suppose -2*t - 4*o + 75 - 29 = b, -o + 22 = t. What is the remainder when 82 is divided by t?
19
Let v be 242/55 + (-3)/(-5). Suppose 5*p + 0*u = v*u + 125, -p + 2*u = -20. What is the remainder when p is divided by 10 - ((-4)/2)/2?
8
Suppose 4*m + 4*y - 103 - 121 = 0, -5*m + 5*y + 240 = 0. What is the remainder when m is divided by 8?
4
Let m(c) = c**3 - 17*c**2 + 27*c + 17. What is the remainder when m(16) is divided by 52?
37
Let k(x) = 5*x**2 + 74*x - 12. What is the remainder when 271 is divided by k(-16)?
19
Let s = -550 - -768. Calculate the remainder when s is divided by 76.
66
Suppose -2*r - 105 = -8*t + 3*t, 105 = 5*t - 5*r. Suppose -2*c = -2*i - 18, c - 2*i = -4*i + t. Calculate the remainder when -1*6/(-2) - -21 is divided by c.
11
Let n(x) = x**2 + x. Let a be n(0). Suppose 4*v - 53 - 19 = a. Calculate the remainder when v is divided by 10.
8
What is the remainder when 0 - -2 - 19/((-95)/340) is divided by (-37)/(-3) + 2/(-6)?
10
Let y be (6/18)/((-1)/12). Calculate the remainder when 138 is divided by 9/((-90)/y)*70.
26
Calculate the remainder when 70 - 9/(54/66) is divided by (6/5)/(6/100).
19
Suppose 10*y - 664 - 3686 = 0. Calculate the remainder when y is divided by 23.
21
Suppose 0 = -0*q - 3*q + 15. Let h = 1892 - 1891. What is the remainder when q is divided by h?
0
Let w(g) be the third derivative of -7*g**4/24 - 22*g**2. Calculate the remainder when 13 is divided by w(-1).
6
Suppose 0 = 2*k - 6*k + 5*u + 36, 0 = 5*k + u - 16. Suppose 4*i - 158 = 2*o, 0*o + 128 = k*i + 4*o. What is the remainder when i is divided by 7?
2
Suppose 4*f = -2*y + 534, -2*f = -5*y + 4*y - 273. What is the remainder when f is divided by 46?
43
Suppose -5*p - 59 = -3*n, -4*p + 60 = 4*n - 6*p. What is the remainder when 37 is divided by n?
11
Let b = -871 + 875. Calculate the remainder when 118 is divided by b.
2
Suppose 5*g + 20 = 0, g = 4*r + r - 134. Suppose 4*w - r = 14. What is the remainder when w is divided by (-17)/(-3) - 1/(-3)?
4
Let x = 299 - 261. Calculate the remainder when 187 is divided by x.
35
Calculate the remainder when 13 is divided by ((-7)/(-35))/(9/495).
2
Suppose -4*d + 6*m - 11*m + 86 = 0, -8 = -4*m. Calculate the remainder when 37 is divided by d.
18
Let s(k) = -k. Let m be s(-16). Suppose 0 = -11*x + m*x - 370. Calculate the remainder when x is divided by 38.
36
Let j = -19 - -17. Calculate the remainder when 74 is divided by -2*((-13)/((-13)/(-6)) + j).
10
Let i = 20 - -419. Calculate the remainder when i is divided by 10.
9
Let w = 15 + -3. Suppose 2*t - w = -t. Suppose -4*i - p = 3*p - 84, t*i - 88 = -5*p. Calculate the remainder when i is divided by 9.
8
Let s = 5 + -3. Let c(h) = 3*h**2 + 1 - 11*h - 15*h**3 - 7*h**2 - 7*h**s + 14*h**3. Calculate the remainder when c(-10) is divided by 6.
5
Suppose 5*c - 830 = -5*u, -5*c - 3*u + 226 = -602. Calculate the remainder when c is divided by 60.
45
Let c be (-14)/3 + (-16)/(-24). Let j = -1 - c. Suppose -j*b - b = -316. What is the remainder when b is divided by 27?
25
Let y = -256 + 627. Calculate the remainder when y is divided by 6.
5
Suppose 3*s - i = 5*s - 91, -2*i - 205 = -5*s. What is the remainder when 142 is divided by s?
13
Let i(v) be the first derivative of -v**3/3 - 9*v**2 + 17*v + 9. What is the remainder when i(-15) is divided by 16?
14
Suppose -888 = 376*j - 388*j. What is the remainder when j is divided by 37?
0
Let v be 12/(-5) - 18/30. Let z = -1 - v. Suppose 110 = -z*c + 3*c. Calculate the remainder when c is divided by 28.
26
Let m(d) = -d**2 + 5*d + 11. What is the remainder when m(6) is divided by 4?
1
Let r be (4 + (-1 - 3))/(-3). Suppose r = -4*c + 5*c - 22. Let g = c - 8. Calculate the remainder when 40 is divided by g.
12
Suppose 6 = -b + 15. Calculate the remainder when 61 + -23 + 2/(4/(-10)) is divided by b.
6
Let o(h) = -4*h - 3. Let v = -68 - -64. Calculate the remainder when 50 is divided by o(v).
11
Let m = -325 - -349. Suppose -3*d - 18 = -5*d. Suppose -4*h = -d*h + 25. Calculate the remainder when m is divided by h.
4
Let j(x) = -71*x + 14. Calculate the remainder when (-3)/6 - (-55)/2 is divided by j(0).
13
Let b = 367 + -226. Calculate the remainder when b is divided by 51.
39
Suppose 4 = -i + 14. Let g = -47 + 213. Suppose -4*y + g = -2*r, -3*y + 3*r + 54 = -2*y. Calculate the remainder when y