 c be (-24)/144 - z/(-12). Suppose 0 = -10*x + c*x + 455. What is the remainder when x is divided by 31?
29
Let j(a) be the third derivative of a**6/24 + a**5/20 - a**4/24 - 2*a**3/3 - 2*a**2. Calculate the remainder when j(2) is divided by 23.
0
Calculate the remainder when ((-4812)/(-14))/((-16)/(-1120)*15) is divided by 15.
14
Suppose -3123 = -19*n + 1285. Let p = n - 202. Calculate the remainder when 74 is divided by p.
14
Suppose 1490 = 10*p - 3500. What is the remainder when p is divided by 157?
28
Let n = 4984 + -4862. What is the remainder when 370 is divided by n?
4
Let l(r) = 14*r**2 + 23*r + 68. Let p be l(-8). Suppose -26*g + 52 + p = 0. Calculate the remainder when g is divided by 14.
4
Let y = 0 - -5. Suppose -z - l + 2*l = -15, y*z - 4*l = 71. What is the remainder when z is divided by (6/9)/((-866)/(-6495))?
1
Calculate the remainder when (762/6)/(15/135) is divided by 28.
23
Suppose 3641 = -14*b + 6091. Calculate the remainder when b is divided by 24.
7
Let j(g) = -14*g**2 + 38*g - 17. Let q(d) = -d**2 + 4*d - 1. Let k(v) = -j(v) - 3*q(v). What is the remainder when k(6) is divided by 24?
20
Let p be (35/(-21))/(-1*(-2)/162). Let u = p - -224. Calculate the remainder when u is divided by 18.
17
Let z = -115 - -71. Let h = z + 64. Suppose -21*c = -20*c - h. Calculate the remainder when 37 is divided by c.
17
Let x(t) = -15*t**2 + 309*t - 8. Suppose -2*r = -f + 29, 4*f - 3*r = -2*r + 137. Calculate the remainder when x(20) is divided by f.
32
Let r(c) = 15*c + 8. Let v be r(8). Suppose 4*z + 4*p + 36 = v, 3*z - 62 = 4*p. Calculate the remainder when z is divided by (((-3)/3)/1 - -5) + (-80 - -84).
6
Let y = -180 - -267. Suppose 3*v - 204 = y. Calculate the remainder when v is divided by 14.
13
Suppose -d - 4*d + 145 = 0. What is the remainder when ((-3)/(-33))/((-58)/(-348)) - 2670/(-66) is divided by d?
12
Suppose -4*d + 4*g + 6 = -2, 4*g = 3*d - 9. What is the remainder when (-85 + (2 - 4))/d is divided by 23?
18
Suppose -16*v - t = -30*v + 485, -t - 100 = -3*v. Calculate the remainder when 359 is divided by v.
9
Let j be (-12)/(-15) - 4/(-20). What is the remainder when -1 + j - (-144 - -2) is divided by 16?
14
Let y = -127 + 127. Suppose -4*s + 277 = 3*z, y*s + 469 = 5*z + 3*s. Let j = 111 - z. Calculate the remainder when 30 is divided by j.
14
Let o = 102 + -102. Suppose o = -4*k + 310 - 258. Calculate the remainder when 348 is divided by k.
10
Let g(x) = x**3 + 6*x**2 + 11*x - 161. What is the remainder when g(5) is divided by 89?
80
Let t = -3466 - -3467. What is the remainder when 1443 is divided by t?
0
Suppose 1833 = 5*q + 178. Suppose x = 107 + q. What is the remainder when x is divided by 55?
53
Let d be 1*6176/(-24)*3. Let m = d + 787. Calculate the remainder when 53 is divided by m.
8
Suppose 5*q + 5*d = -37 - 18, 0 = -2*q + d - 22. Let t(n) = -n**3 - 10*n**2 + 22*n + 176. What is the remainder when 66 is divided by t(q)?
11
Suppose 0 = 226*o - 166992 - 355520. Calculate the remainder when o is divided by 13.
11
Let s(x) = 49*x - 3378. What is the remainder when s(78) is divided by 227?
217
Let c(m) = 30*m + 109. Let n be (-450)/210 - (-12)/(-14). Calculate the remainder when c(n) is divided by 3.
1
Let s = -28 + 48. Let y = 18 - s. Calculate the remainder when 12 is divided by 4 + -3 - y - -1.
0
Suppose -2*m = z + 3, -3*z + 5*m + 6 = 6*m. Let w = 195 + -168. Calculate the remainder when w is divided by ((-2)/z)/((-2)/42).
13
Let l(v) = -v**3 - 7*v**2 - 15*v - 34. Suppose -28*z + 36 = -34*z. What is the remainder when (-4)/14 - (-1026)/14 is divided by l(z)?
13
Let v be -4*(1/(-4))/((-4)/(-12)). Suppose 5*s = -2*u - u + 32, 53 = 2*u - v*s. What is the remainder when 75 is divided by u?
18
Let b = 5997 + -4638. What is the remainder when 4079 is divided by b?
2
Let j = 90 - 91. Let g(h) = -83*h - 3 + 1 + 80*h + 38*h**2. Calculate the remainder when 111 is divided by g(j).
33
Calculate the remainder when 2153 is divided by 69*(276/180 - (-18)/(-15)).
14
Suppose 4*k = -k - 30. Let x be ((-580)/k)/((-28)/(-42)). Let l = x + -101. What is the remainder when l is divided by 15?
14
Let l(w) = w**2 - 6*w - 8. Suppose 2867 = -10176*k + 10237*k. What is the remainder when k is divided by l(10)?
15
Let v(r) = -r**2 + 13*r + 9. Let z be (-2)/6*(-2 - 235). Let i = z + -72. What is the remainder when v(i) is divided by 19?
13
Let z = 109 - 91. Suppose -o = -1 + 3. Calculate the remainder when z is divided by 6 + (o - 0 - -3).
4
Let q(v) = -v**3 + 22. Let x(m) = m**3 + m - 44. Let l(h) = 7*q(h) + 3*x(h). What is the remainder when l(-5) is divided by 51?
48
Let o(m) be the second derivative of m**4/12 + 11*m**3/6 - 75*m**2/2 + 3*m - 12. What is the remainder when 36 is divided by o(-16)?
1
Suppose 20 = 5*h - 5*s, 3*h - 38 = -5*s + 6. Suppose h*y - 696 = -21*y. Calculate the remainder when 142 is divided by y.
22
Suppose 0 = -10*b + 23*b + 65. Calculate the remainder when (0/1 + b)/2*-34 is divided by 45.
40
Let d(f) = f**3 + 7*f**2 + 10*f + 9. Let w be d(-5). What is the remainder when 189 is divided by 1*((-30)/(-2) - (-13 + w))?
18
Suppose 2*u + 7 - 31 = 0. Let h = -706 + 382. Let w = -320 - h. Calculate the remainder when u is divided by w.
0
Let m(s) = s**3 + 21*s**2 + 20*s. Let n be m(-20). Suppose n = 4*q + 4*g - 20 - 76, -5*q + 100 = -5*g. Calculate the remainder when 570 is divided by q.
20
Let d(o) = 7*o**3 - 6*o + 5. What is the remainder when 159 is divided by d(1)?
3
Let g = -85 + 82. Calculate the remainder when 1962/30 - 6*g/30 is divided by 35.
31
Let n = 73 - 39. Let l = n - -1. Calculate the remainder when 137 is divided by l.
32
Suppose 74*c = -10171 + 13427. Let f(o) = -o**3 + o**2 + 218. Calculate the remainder when f(0) is divided by c.
42
What is the remainder when (1/3)/((-32)/1056) + 308 is divided by 167?
130
Suppose -3*a = 4*i - 20, -5 - 5 = 3*i - 4*a. Suppose -v - 24 = i*v - 2*m, -v + 4*m = -2. What is the remainder when 22 is divided by -26*((-1)/(-3) + v/12)?
9
Let j be ((-10)/56*-8)/((-2)/(-14)). What is the remainder when (203 - -2)*((-11 - -2) + j) is divided by 8?
5
Let b(i) be the second derivative of -3*i**5/20 - i**4/4 - i**3/2 - 11*i**2/2 + 6*i. What is the remainder when 258 is divided by b(-3)?
50
Let u(b) = b**2 - 3*b + 10. Let l be u(4). Suppose l - 2 = 4*k, j = k - 393. Calculate the remainder when 359*(-2)/(-15) + (-52)/j is divided by 17.
14
Let t(p) = 2*p**2 - 12*p + 22. What is the remainder when t(-7) is divided by 16?
12
Let v(n) = -91*n - 51. Let m be v(-6). Suppose 3*f = 12*f - m. What is the remainder when f is divided by 8?
7
Suppose -2444 + 2184 = -10*h. What is the remainder when 984 is divided by h?
22
Suppose 6*p = -364 + 8542. Suppose 17*s = p + 48. Let y(u) = -u**3 - u + 17. What is the remainder when s is divided by y(0)?
15
What is the remainder when (-48)/(-60)*14545/4 is divided by 32?
29
Let w(h) be the second derivative of h**3/2 + 3*h**2 - 10*h. Suppose p + 5 + 10 = -4*k, 5*p = -5*k. What is the remainder when w(4) is divided by p?
3
What is the remainder when 10 + -4 + (22338/6 - -2) is divided by 12?
11
Suppose 3*l + 5*b = 4688, 7533 = 5*l - b - 243. What is the remainder when l is divided by 193?
12
Let h(j) = -j**2 + 28*j + 604. Calculate the remainder when 1359 is divided by h(42).
15
Calculate the remainder when 12446 is divided by 462/16 - 4965/2648.
26
Let b(c) = c**3 - 26*c**2 - 29*c + 81. Let l be b(27). Suppose -7*o = -3*o - 636. Suppose -l + o = 4*i. Calculate the remainder when i is divided by 5.
3
Suppose 2*o = -0*o + 136. Let b(j) = 37*j**2 + 15*j - 18*j**2 - 2 + 2*j - 20*j**2. What is the remainder when o is divided by b(16)?
12
Let p(k) = 26 - 2*k + 38 - 62. Suppose 0 = -3*t - 3*d - 18, -3*t + 0*d = -d + 14. What is the remainder when 19 is divided by p(t)?
7
Let m(a) = 5 + 1 + 5*a**2 + a**3 - 2*a**3 + 2*a**2 - 10*a. Let g be (-116)/(-20) + ((-108)/(-15) - 8). What is the remainder when 58 is divided by m(g)?
4
Let s be (410/(-70))/((-1)/7). Suppose -i = -2*p + 4*i + s, 1 = i. Calculate the remainder when 88 is divided by p.
19
Let d = -7734 - -9207. What is the remainder when d is divided by 12?
9
Let b(p) = 9*p**3 - p**2 + 3*p - 1. Let l be b(1). Let s(x) = 14*x - 19*x + x**2 + 0*x**2 - 6. Calculate the remainder when 87 is divided by s(l).
