. Let a be r(0). Suppose 2*i = 6*i + 28. Let n = a + i. What is the remainder when 9 is divided by n?
0
Let d be ((-3)/9)/((-2)/(-30)). Let g be ((-14)/d)/(6/15). Suppose 105 = -2*a + g*a. Calculate the remainder when 81 is divided by a.
18
Let b(p) = p**2 - 8*p + 13. What is the remainder when 28 is divided by b(7)?
4
Let n = -10 + 14. Suppose -486 = -5*d + 324. Suppose -n*y + 198 = 4*k + k, -4*k = 5*y - d. Calculate the remainder when k is divided by 20.
18
Let o be (-6)/(12/2) - (-2 + 140). Let f = 181 + o. What is the remainder when 82 is divided by f?
40
Suppose j = -5*g + 120, 4*j - j = -5*g + 120. Calculate the remainder when 80 is divided by g.
8
Let v be 10 + 7 - (-2)/(-2). Suppose -14 = -v*b + 15*b. Calculate the remainder when 27 is divided by b.
13
What is the remainder when 30 is divided by 2 + 159/7 + 4/14?
5
Let l be 93/(-9) - 2/3. Let o = l + 51. Calculate the remainder when o is divided by 14.
12
Let t(u) = 5*u**2 - 22*u + 56. What is the remainder when t(6) is divided by 35?
34
Let v(r) = r**2 + 13*r - 13. Let m be v(-11). Let y(p) = 49*p + 2. Let x be y(2). Let z = m + x. Calculate the remainder when z is divided by 23.
19
Let x(j) = j**3 - 13*j + 8. Let i(n) = n**3 + n**2 - 13*n + 7. Let a(d) = -5*i(d) + 4*x(d). What is the remainder when 9 is divided by a(-7)?
1
Calculate the remainder when 95 is divided by ((-91)/14 + 10)*4.
11
Let d = -24 + 28. Suppose -h - d = 0, 171 = 4*i - 4*h - 29. Calculate the remainder when i is divided by 7.
4
What is the remainder when (321/2)/(84/280) is divided by 67?
66
Let s = -24 + -97. Let q = s - -170. What is the remainder when 94 is divided by q?
45
Suppose 3*o - 40 - 8 = -2*n, 5*n + 27 = 3*o. Calculate the remainder when o is divided by 2.
0
Suppose 0 = -5*j + 7*j + i - 382, -5*j + 944 = -3*i. Suppose j = 3*s - 3*g + 37, 2*s - 3*g = 98. What is the remainder when 273 is divided by s?
53
Suppose 0 = 4*t - 7 - 5, -b + 3*t + 21 = 0. Suppose 80 = 5*k - 205. Calculate the remainder when k is divided by b.
27
Let l = 604 + -587. Calculate the remainder when 187 is divided by l.
0
Let m(y) = 5*y + 10. Calculate the remainder when (9 - (-24)/(-8) - 3) + 174 is divided by m(7).
42
Let h(w) = w**3 + 10*w**2 + 9*w - 39. What is the remainder when (-2 - 18)*(-12)/5 is divided by h(-8)?
14
Suppose -295 = -4*h + c, -34*h = -37*h + 4*c + 231. What is the remainder when h is divided by 8?
1
Let r = 1 - -3. Calculate the remainder when 256/18 - (32/(-18) - -2) is divided by r.
2
Suppose -15 = -8*d + 49. Suppose d*t - 448 = t. What is the remainder when 251 is divided by t?
59
Let d(j) = -17*j**2 + j - 2. Let q be d(2). Suppose 3*f = -104 - 181. Let t = q - f. What is the remainder when 106 is divided by t?
25
Suppose -f - 2 = -2*f. Suppose 0 = 11*u + 6*u + 5*u - 1232. What is the remainder when u is divided by f/9 + (-169)/(-9)?
18
Suppose -4*c + 0*d = d - 21, -5 = -d. Let z be (-40)/(-7) + c/14. Suppose -z*n + 69 = -15. Calculate the remainder when n is divided by 3.
2
Let v be 24/96 + 1 + (-5)/4. Suppose 160 = 5*u - v*u. What is the remainder when 190 is divided by u?
30
Suppose -5*j = 4*t - 46, -3*t - 13*j + 14*j + 44 = 0. What is the remainder when 405 is divided by t?
13
Suppose 44 = 2*s + 4*o, 4*o - 31 = -3*s + 25. Let n = -9572 + 9576. What is the remainder when s is divided by n?
0
Let a(f) be the second derivative of -f**4/6 + f**3/3 + 13*f**2/2 - 16*f. What is the remainder when 45 is divided by a(0)?
6
Suppose 5*p + 4*d + 39 = d, 2*d = -2*p - 18. Let w = -3 - p. Suppose w = c - 38. What is the remainder when c is divided by 14?
13
Let y(r) = 4*r**2 - 9. Let x be y(3). Let u = x + -17. What is the remainder when 17 is divided by u?
7
Let v(x) = -2*x**3 - 13 - 12*x**2 + x + 3*x**3 - 2*x**3. Let j be v(-12). What is the remainder when (-10)/j - (-546)/10 is divided by 14?
13
Let c(r) = 50*r + 69. Calculate the remainder when c(0) is divided by 29.
11
Let p = -449 - -1498. What is the remainder when p is divided by 105?
104
Calculate the remainder when (-186176)/(-448) + (-3 - (-24)/7) is divided by 82.
6
Suppose 42*c = 11*c + 1023. Calculate the remainder when c is divided by 18.
15
Suppose -q + 2*q = 69. Suppose 0 = -3*z - l + 23 + 21, 3*z = 5*l + 14. Suppose -54 = z*m - 16*m. What is the remainder when q is divided by m?
15
Suppose 3*u + 235 = 5*n, 3*n + 0*u = 4*u + 152. Suppose -n*a + 126 = -41*a. What is the remainder when a is divided by 22?
20
Suppose 18*p - 18771 = 9921. What is the remainder when p is divided by 47?
43
Suppose 5*k - h + 425 = 0, 8*k + 4*h + 106 = 7*k. Let r = 104 + k. What is the remainder when r is divided by 7?
4
Suppose 0 = 4*l - 4*b + 4, -5*l - b + 25 = 4*b. What is the remainder when 5 - (-1 - 0)*1 is divided by l?
0
Let g(u) = -u**2 - 21*u - 32. Calculate the remainder when 55 is divided by g(-18).
11
Suppose h - 2*h + 2 = 0. Calculate the remainder when (-2)/4*(-152 - h) is divided by ((-48)/((-36)/8 + -3))/((-42)/(-105)).
13
Let o = -9 + 13. Let w(s) = s + 5. Calculate the remainder when w(2) is divided by o.
3
Suppose -42 + 30 = 6*f. Let q(y) = 4*y**2 - 4. What is the remainder when 43 is divided by q(f)?
7
Suppose -5*i + 37 = -2*a - 119, -i = 4*a - 40. What is the remainder when 252 is divided by i?
28
Let d(i) = 2*i**3 - 6*i**2 + 7*i - 3. Calculate the remainder when 159 is divided by d(3).
15
Let i = 966 + -956. Suppose z = -2*c + 6*z + 56, -4*c = -5*z - 132. Let f = 87 - c. Calculate the remainder when f is divided by i.
9
Let l = -98 + 202. Suppose -31 = 5*a - 136. What is the remainder when l is divided by a?
20
Let q be 2/10 - -3*1304/(-60). Let j = q - -82. What is the remainder when j is divided by 9?
8
Suppose 30*i - 873 = 147. What is the remainder when 54 is divided by i?
20
Let g be (39/5)/((-4)/(-60)). Let n = -68 + g. Calculate the remainder when n is divided by 10.
9
Let x(a) = -3*a**2 + 6*a + 0*a**2 + 2*a**2 - 3 + 12. Let h be x(8). Let u(d) = -9*d - 10. Calculate the remainder when u(h) is divided by 14.
11
Let k(h) = 15*h - 14. Let o(c) = -48*c - 2. Let g be o(-2). Suppose 0*m + 2*b = 2*m - g, 3*m - 5*b - 141 = 0. Calculate the remainder when m is divided by k(2).
15
Suppose 0 = -5*z + 45 + 60. What is the remainder when z is divided by 0 + (1 - 2) + 7?
3
What is the remainder when 115/3 - (640/48)/10 is divided by (24/10)/(6/20)?
5
Let z(r) = r**3 + 4*r**2 - r + 2. Let d be z(-4). Suppose 0 = d*y - 0*y - 420. Calculate the remainder when y is divided by 8.
6
Suppose -l + 3 = 7. Calculate the remainder when l - -2 - (-178 - 3) is divided by 15.
14
Suppose -4*n + 4*k = -456, 7*k - 16 = 3*k. Suppose -o + 47 = -5*g, g + n = 4*o + 25. What is the remainder when 175 is divided by o?
21
Suppose -40*p + 45*p - 490 = 0. What is the remainder when 17 is divided by (p/(-66) + 26/(-143))*-3?
2
Suppose 61 = 5*x - 0*g - 3*g, 3*x - 27 = 5*g. Let b(t) = 4*t - 4. What is the remainder when b(x) is divided by 28?
24
Suppose -4*j + 115 = -5*v + 27, -3*j + 73 = -2*v. Suppose -25*x - 234 = -j*x. What is the remainder when x is divided by 12?
9
Let p = 17 - -16. Let z be (-8)/36 - 842/18. Let g = 65 + z. Calculate the remainder when p is divided by g.
15
Let l(y) be the first derivative of -y**4/4 - y**3/3 - 5. Let a be l(2). Let w = -5 - a. What is the remainder when 19 is divided by w?
5
Let l(p) = 5*p - 4. Let o be l(-10). Let c = -46 - o. Calculate the remainder when c is divided by 8.
0
Let t = -33 + 2. Let j = t - -62. What is the remainder when j is divided by 12?
7
Suppose 0 = -b - 2*t + t - 5, 2*t = 3*b + 10. Let v be -2*1/b*10. Let c = 11 - v. What is the remainder when 15 is divided by c?
3
Let w(j) = -5*j - 8. Let l be w(-5). Let i(u) = -u + 13. Let q be i(l). What is the remainder when 69 is divided by (q + 68/8)*4?
15
Let q(v) = v + 1. Let d(i) be the first derivative of -i**4/4 + 2*i**3 - 5*i**2/2 + 7*i - 2. Let o be d(3). Calculate the remainder when q(o) is divided by 7.
6
Suppose 5*g - 2277 = 4*z, 18*z - 14*z = -3*g + 1379. Calculate the remainder when g is divided by 27.
25
Suppose -24*t = -670 - 3986. Calculate the remainder when t is divided by 52.
38
Let d(x) = 3*x - 16. Let p be d(6). Suppose 72 = c - 3*b, -c - p*b = -5*c + 238. Calculate the remainder when c is divided by -2 - (-22 + 0) - 0.
17
Suppose 0 = -2*v - 2, -2*d - d - 2*v + 8