 535*q + 1395. Calculate the remainder when y(-9) is divided by r.
9
Let r = 379 - 199. What is the remainder when r is divided by 91/((-164)/(-205) + (-12)/15 + 1)?
89
Let c(r) = -r**2 - 10*r + 28. Let t be c(-12). Suppose -2*v + t*j - 392 = -0*v, -4*j = v + 208. Calculate the remainder when v/(-12) - (-1)/3 is divided by 9.
8
Let t(f) = 10*f**2 + 110*f + 165. What is the remainder when 580 is divided by t(-10)?
60
What is the remainder when 1488 is divided by (-43 - 1434/(-30))/(1/40)?
144
Suppose -46*n - 47304 - 18384 = 0. What is the remainder when ((-1)/2)/(1/(-190)) is divided by 96/14*n/(-306)?
31
Suppose 6*y - 160 = 2*y + 2*w, -4*w + 58 = y. Let c(s) = 23*s**3 - s**2 + s. Calculate the remainder when (y/5)/(((-312)/65)/(-24)) is divided by c(1).
19
Calculate the remainder when (-72)/(-162) - 471/54*-88 is divided by 624.
144
Calculate the remainder when 8/6*(-166260)/(-272) is divided by 400.
15
Suppose -216 = -2*j - 19*b + 17*b, -214 = -2*j - 3*b. Calculate the remainder when j is divided by 45.
20
Let c = 2062 + -2061. Calculate the remainder when 313 is divided by c.
0
Let v(s) = s**2 - 114*s + 2943. Let b = 29 + 240. Suppose -5*n = -4*a + b, -6*a + 275 = -2*a - 3*n. What is the remainder when a is divided by v(39)?
17
Suppose -6*j + 13*j - 377 - 92 = 0. Calculate the remainder when 118 is divided by j.
51
Suppose -143 = -5*r + 27. Let x = -26 + r. Calculate the remainder when 39 is divided by x.
7
Let a(u) = -119*u - 1249. What is the remainder when a(-16) is divided by 144?
79
Let y be (8/10)/(8/40). Suppose y*o = o + 2*s + 214, -3*s = 5*o - 382. What is the remainder when o is divided by 27?
20
Suppose -3*h - 3*f = -3, -4*h = -14*f + 9*f - 40. Suppose h*n - 7 = 128. Calculate the remainder when 46 is divided by n.
19
Let t = 7 - 2. Let g = -381 - -386. Suppose -s + 0*j - 5 = t*j, -s + g*j + 25 = 0. Calculate the remainder when 18 is divided by s.
8
What is the remainder when 678 is divided by ((-10)/(-6))/((-150)/(-15570))?
159
Suppose -v - 9 = -12, 54172 = 5*r - v. Calculate the remainder when r is divided by 28.
27
Suppose -2 = -5*h + 3, 4*u = -2*h + 22. Let x = 302 + -300. Suppose 0 = -x*c + q + 69, 3 = -4*q + 3*q. Calculate the remainder when c is divided by u.
3
Suppose 0 = -20*j + 3296 + 1744. Suppose i + 2*o = -3*o, 0 = -5*i - 5*o + 60. Calculate the remainder when j is divided by i.
12
Let m(s) = -6*s**2 + 703*s - 652. What is the remainder when m(115) is divided by 293?
257
Let g be (-1 + 2 + 24)*(-12)/(-15). Let j = 30 - g. Let x = j + 12. Calculate the remainder when 63 is divided by x.
19
Suppose 12527 = 2*b - o, 3 + 1 = -4*o. What is the remainder when b is divided by 13?
10
Let c(t) = t**3 + 14*t**2 + t - 138. Let y(n) = 3*n - 25. Let o be y(4). What is the remainder when 136 is divided by c(o)?
10
Let m(p) = -p**2 - 23*p - 57. Suppose -357*a = -352*a + 80. What is the remainder when m(a) is divided by 20?
15
Let x be (1 - 11) + 7 + 4/(-4). Let c(a) = a**2 - 14*a - 3. What is the remainder when 199 is divided by c(x)?
61
Let t = 106 - 72. Suppose 2133*q - 8094 - 11103 = 0. Calculate the remainder when t is divided by q.
7
Let i(a) be the third derivative of -a**4/4 - 35*a**3/6 - 182*a**2 - a. Let w(t) = -t - 10. Let s be w(0). Calculate the remainder when 95 is divided by i(s).
20
Let s(c) = -c**3 - 5*c**2 - 4*c + 2. Let o be s(-4). Suppose -3*y + 3 = -2*y, 0 = 3*m - o*y + 66. Let n = m + 36. What is the remainder when 60 is divided by n?
12
Suppose 3*u + 14 = 19*p, 48 = 15*p - 11*p + 5*u. Calculate the remainder when 1199 is divided by p.
1
Suppose 0 = 4*t - 0*t + 4*m - 8, -m = 3*t - 8. Let z(x) = -7*x + 9 - 5*x**2 + 4*x**2 + 2*x**2. Calculate the remainder when t is divided by z(6).
0
Let r be (-1)/(2/3) + 7328/64. Let z = -56 + r. Calculate the remainder when z is divided by 15.
12
Let c(i) = 487*i**3 - i**2 + 10*i - 9. Let h be c(1). Suppose 161 + h = 12*w. Calculate the remainder when w is divided by 22.
10
Suppose 0 = 2*x - 3*n - 9 - 31, -x + n + 19 = 0. Suppose 12*r + 80 = x*r - 2*v, 2*v = 4*r - 62. What is the remainder when 45 is divided by r?
9
Let h(x) be the third derivative of x**4/24 + 8*x**3/3 - 10*x**2. What is the remainder when -3 - 235/(-5) - (-1 - 1) is divided by h(0)?
14
Let x(c) = -c**3 + 6*c**2 + c + 1837. Calculate the remainder when x(0) is divided by 1829.
8
Suppose -139*y - 231*y - 47*y + 1004553 = 0. What is the remainder when y is divided by 1?
0
Let a = -68 - -68. Let o(k) be the first derivative of 3*k**2/2 + 34*k - 18. Calculate the remainder when o(a) is divided by 12.
10
Let a be (2/(-6))/((-2)/306). Suppose -a = -14*q + 11*q. Let o(p) = -p**3 + 9*p**2 + 9*p + 19. What is the remainder when q is divided by o(10)?
8
Suppose -3*p - 105 = -3*h, 0 = -2*h - p + 27 + 19. Let t(d) = 142*d**2 - d - 1. Let g be t(-1). Let z = g + 18. Calculate the remainder when z is divided by h.
25
Let g = 4823 + -4729. Calculate the remainder when 2055 is divided by g.
81
Let l(w) = -12*w**2 + 2*w - 1. Let g be l(-2). Let v = -27 + 111. Let h = g + v. What is the remainder when 152 is divided by h?
28
Suppose -3*f = -2*c + 3*c, -4*f - 20 = 0. Let m = 2 + c. Let j(d) = 6*d**3 - d + 2. What is the remainder when j(2) is divided by m?
14
Suppose b = 2*b - 180. Suppose -3827 + 4789 = 37*j. What is the remainder when b is divided by j?
24
Suppose 3*j = 2*f - 12394, -2*j = 21*f - 20*f - 6225. What is the remainder when f is divided by 90?
89
Let i = -67 + 80. Suppose -3586 = -9*f - i*f. Calculate the remainder when f is divided by 56.
51
Let s(r) = -r**2 + 18*r + 35. Suppose -98 = 4*t - 9*t - 4*k, -4*t + 74 = k. Calculate the remainder when s(t) is divided by 4.
3
Suppose -2*i = 2, 3*t + i = 40 + 127. Let z = 91 - 42. Let q = -19 + z. What is the remainder when t is divided by q?
26
Suppose 0 = -6*h + 4*h - 106. Let j = h - -34. Let x(i) = i**2 + 19*i + 38. Calculate the remainder when 74 is divided by x(j).
36
Suppose 0 = 3*w - 15, j + 13*w - 11*w = 1018. Calculate the remainder when j is divided by 497.
14
Let j = 3884 + -3859. Let i = 218 + -124. Calculate the remainder when i is divided by j.
19
Suppose 4*w + w = 215. Suppose -4343*t + 123157 = -4050*t + 43893 - 147225. What is the remainder when t is divided by w?
42
Let l = 36 - 52. Let g = 20 + l. Suppose 0*j + 112 = g*j. What is the remainder when 54 is divided by j?
26
Let j(z) = -z**3 + 3*z**2 + 20*z + 5. Suppose 0*r = 3*r - 12. Calculate the remainder when j(r) is divided by 29.
11
Let k(g) = 6*g**2 - 12*g - 2. Let l be (-42)/11 - 4/22. What is the remainder when (-1)/l - 1091/(-4) is divided by k(4)?
43
Suppose 4*n = 2*a - 8, -3*n = -2*a - 5*n + 14. Let j(l) = -l**2 + 31*l + 380. What is the remainder when j(-9) is divided by a?
2
Suppose -82*j + 78*j - 588 = 0. Let v = 164 + j. What is the remainder when 764 is divided by v?
16
Let h = 378 + -258. Suppose 0 = -3*t - 0*t - 6, -q + h = t. Let m(b) = -b**3 - 3*b**2 + 25*b + 4. Calculate the remainder when q is divided by m(-7).
22
Suppose 75 = -3*q - 2*q. Let j = -9 - q. Let u = 15707 - 15691. Calculate the remainder when u is divided by j.
4
Let c(a) be the second derivative of 7*a**4/12 - 5*a**3/2 + a**2 + 19*a - 2. What is the remainder when c(-3) is divided by 7?
5
Let l = -431 - -295. Let s = l + 178. What is the remainder when 251 is divided by s?
41
Let h be (16 - 61)*(-15)/25. What is the remainder when 61 is divided by (819/h + 3)*12/10?
21
Let s(o) = 62*o**2 - o. Let j(n) = -3096*n + 24776. Calculate the remainder when s(1) is divided by j(8).
5
Let t = 6144 - 6096. What is the remainder when 1151 is divided by t?
47
Let m = 3 + 0. Suppose m*h = 2 + 10. Suppose -33 + 1012 + 46 = 41*p. What is the remainder when p is divided by h?
1
Let d(h) = 55*h - 943. What is the remainder when 159 is divided by d(18)?
18
Let i = 47 + -91. Let u = 81 + i. Let r = 58 - 44. Calculate the remainder when u is divided by r.
9
Calculate the remainder when 417 is divided by -3 + 1605/214*(-12)/(-5).
12
Let f be ((-30)/(-25))/((-4)/(-10)). Suppose f*w - 45 = 51. Let j = 44 - w. What is the remainder when j is divided by 6?
0
Suppose -7*a + 1085 = -1113. Calculate the remainder when a is divided by 46.
38
Let u = 63 - 31. Suppose 4*s = 4*k + 116, -3*s + 2*k + 139 = 2*s. Let r = u - s. Calculate the remainder