- 5*o - 12 = 0, 4*a + 3*o - 19 = 0. Suppose -16*k + 171 = -a*k. What is the remainder when k is divided by 1?
0
Suppose 4736 = 3*i + 2*c, 50*c - 55*c = 11*i - 17377. Calculate the remainder when i is divided by 229.
208
Let w(d) = d**3 - 19*d**2 + 7*d + 202. Calculate the remainder when (4 - 5)*-10*2 is divided by w(18).
0
Suppose -41*g + 46*g - 230 = 5*v, -135 = -3*g + 2*v. What is the remainder when 358 is divided by g?
14
Let y be (-12)/(-27) - 86641/(-207). Suppose y = 3*t + i + 82, -5*i = -4*t + 481. Calculate the remainder when t is divided by 61.
53
Let q(k) = 168*k + 913. Calculate the remainder when 431 is divided by q(-5).
66
Let n(j) = -207*j + 20229. Let p = -6 + 37. What is the remainder when n(97) is divided by p?
26
Calculate the remainder when 344 is divided by 15/(-25) + -1 + 609/15.
32
Suppose 5*m = 4*m + 4. Let g = -10 + 37. Calculate the remainder when (m + -5)*(0 - 79) is divided by g.
25
Calculate the remainder when 14/(-21) - 12394/(-6) is divided by 34.
25
Let v(w) = w**2 + w - 47. Let j be v(-12). Suppose 41 = 18*o - j. Calculate the remainder when 40 is divided by o.
5
Suppose -3*d - l = -200, 3*d + 16*l - 210 = 13*l. What is the remainder when 6173 is divided by d?
63
Let a = -512 - -176. Let q = -279 - a. Let b(j) = -j**3 - 7*j**2 - 9*j - 2. Calculate the remainder when q is divided by b(-6).
9
Suppose 0 = -3*n + 18*j - 20*j + 27, 4*n = j + 58. What is the remainder when (2/(-2))/(1/(-63)) is divided by n?
11
Suppose -1791*v = -1780*v - 33. Calculate the remainder when 4689 is divided by v.
0
Let y be 1/2 - (-2)/4. Suppose k = d - 25 - 18, -221 = -5*d - k. What is the remainder when 0/(-4) + (176 - y) is divided by d?
43
Suppose 16*k - 7*k - 99 = 0. Suppose 0 = 5*j + 10, j + 51 = 5*p - k. Calculate the remainder when p is divided by 4.
0
Let b(y) = 6*y**2 + 306*y + 1246. Calculate the remainder when 1061 is divided by b(-4).
117
Suppose -c + 43 = 2*b, -9*b = b - c - 221. What is the remainder when 345 is divided by b?
15
Let v(f) = f**2 - 5*f + 6. Let i be v(7). Let k = i - 16. Suppose 2*l + 4*p = 38, 25 = 4*l + k*p - 71. What is the remainder when l is divided by 16?
13
Let k = 4682 - 4575. Calculate the remainder when 656 is divided by k.
14
Suppose 37*z + 480 = 5*r + 32*z, 3*z + 470 = 5*r. Calculate the remainder when 166 is divided by r.
75
Calculate the remainder when (-350154)/3087*((-7)/2 + 0) is divided by 137.
123
Calculate the remainder when 878 is divided by 15/(((-333)/(-74))/(63/3)).
38
Suppose 31*f - 36 = 37*f. What is the remainder when 50 is divided by (1537/(-159))/(2/f)?
21
Let s be (-15)/10*(-4)/3. Let x be 105*s + 1 + -2. Let y = x - 140. Calculate the remainder when y is divided by 12.
9
Let f(r) = r**2 - 29*r - 178. Let a be f(35). Suppose 39*i - a = 37*i. What is the remainder when 268 is divided by i?
12
Let z(l) = -l - 6. Let x be z(-6). Suppose 5*a - 327 + 92 = x. Calculate the remainder when a is divided by 24.
23
Suppose 0 = -34*i + 7451 - 1161. Calculate the remainder when i is divided by 54.
23
Let y(p) = 68*p - 44. Suppose -10 = -3*q - 1. Calculate the remainder when y(q) is divided by 23.
22
Let j(q) = 7*q + 578. Calculate the remainder when j(-39) is divided by 50.
5
Let s(c) = -c**2 + c + 35. Suppose y - 2*i = -6, 2*y + 6*i = 2*i + 4. Calculate the remainder when s(0) is divided by 12*(55/20 + y).
8
Suppose 0 = 9*s - 54, 3*i - 753 = -s - 150. Calculate the remainder when i is divided by 31.
13
Suppose -145*m + 150*m = -405. Let z = 104 + m. Calculate the remainder when z is divided by 14.
9
Suppose 549 = 3*u - 4*g + 5*g, 5*u + g - 915 = 0. Calculate the remainder when 1465 is divided by u.
1
What is the remainder when (750/45 + (-10)/2)/((-23)/(-483)) is divided by 30?
5
Calculate the remainder when (-33)/(-22)*(-3 + (-3039)/(-9)) is divided by 161.
19
Let x = -30623 + 30648. Calculate the remainder when 1/((-4)/(-296)) + 0 is divided by x.
24
Suppose -2*b + 0*t = 5*t - 31, -2*t + 10 = 0. Suppose -m = -4*f - 76, -2*m + 3*m = b*f + 79. Let d = m + -81. Calculate the remainder when 13 is divided by d.
6
Let k(q) = q**3 - q**2 + 2*q + 4. Let i be k(4). Let d = i + -58. Suppose -8 = -d*m + 22. What is the remainder when m is divided by 7?
1
Let z(a) = -5*a**2 - a. Let w be z(1). Let r(c) = -43*c**2 + 5*c + 21. Let l be r(w). Calculate the remainder when (-3)/5 + l/(-45) is divided by 25.
9
Let g(u) = 19*u**2 + 68*u - 262. What is the remainder when g(4) is divided by 112?
90
Suppose -5*u + 710 = 5*a, a + 174*u - 134 = 175*u. Let w(n) = -5*n**3 - n**2 + 2. Calculate the remainder when a is divided by w(-2).
24
Let r be 3/9 - 21/9. Suppose 0 = -155*g + 76*g + 4345. Calculate the remainder when g is divided by (1 - 2) + (-18)/r.
7
Let w = -41793 + 42141. What is the remainder when 2431 is divided by w?
343
Suppose -86*b + 294*b = -40*b + 1037136. Calculate the remainder when b is divided by 93.
90
Let t be (2 + 42/(-18))/(2/(-48)). What is the remainder when 32/(-6)*-3*(t - 3) is divided by 28?
24
Let f = 14725 - 14443. Calculate the remainder when f is divided by 30.
12
Let a(z) = 56*z - 25. Let d be a(18). Let r = d - 507. What is the remainder when 38 is divided by (-1)/(-6) + r/24?
18
Suppose -32*v + 3*g + 78 = -30*v, -3*v + 4*g = -116. Calculate the remainder when 39 is divided by v.
3
Suppose -139*u = -142*u - 9. Calculate the remainder when 67 is divided by 1 - -27*(-2)/(2*u).
7
Let j = 24218 - 21707. Calculate the remainder when j is divided by 4.
3
Let l be (6*3)/(14/7). Suppose -4*p - 3*t + l = -1, 5*p + t - 18 = 0. Suppose 2*i = 5*k + i - 151, -5*i = 5. Calculate the remainder when k is divided by p.
2
Let f = 50 - 29. Let o(i) be the first derivative of i**4/4 - i**3 + i**2 - 17*i - 86. What is the remainder when f is divided by o(4)?
0
Suppose 44*g - 57031 - 42231 - 48974 = 0. Calculate the remainder when 3374 is divided by g.
5
Suppose 1747 = -5*j + 1817. Suppose -3*u + 3*t = -21, 0 = -5*u - t - 3 + j. Calculate the remainder when 181 is divided by u.
1
Let m(f) = -f**2 - 52*f - 195. What is the remainder when 73 is divided by m(-47)?
33
Let o = 2052 + -2045. Calculate the remainder when -4 + (9 - 3) - -80 is divided by o.
5
Let r be (3 - (-20)/9) + 4/(-18). Suppose -r*j + 4 = -2*w + 77, 4*w + j = 113. Let t(m) = -4*m + 21. Calculate the remainder when t(-23) is divided by w.
26
Suppose 8*l - 33 = -3*l. Let x(k) = 6*k**2 - 3*k + 6. Calculate the remainder when x(l) is divided by 26.
25
What is the remainder when 308 is divided by 4/(-10) + (6 + -3 - 2082/(-30))?
20
Suppose 8 = 5*b - 3*b, 0 = j - 5*b + 622. Let i = 642 + j. Calculate the remainder when 118 is divided by i.
38
Suppose 13*r - 10*r = 0. Suppose r = -5*l - 11 + 26. Suppose 3*b - 4 = -2*z - 0*b, -l*b = z + 4. What is the remainder when 31 is divided by z?
7
Let y(w) = 4*w**3 - 28*w**2 - 3*w**3 + 20*w**2 - 10*w + 19. Let r be y(9). Suppose r*h + 19 = 11*h. Calculate the remainder when 48 is divided by h.
10
Let q(r) = 176*r + 261. Calculate the remainder when q(1) is divided by 146.
145
Let o = 3 - 4. Let i(s) = 43*s**3 + s**2 - 2*s - 2. Let t be i(o). Let n = 54 + t. What is the remainder when 31 is divided by n?
7
Suppose -p + 0*p = -177. Let k = 94114 - 94084. Calculate the remainder when p is divided by k.
27
Suppose 4*v - 4 = 2*v. What is the remainder when 13 is divided by (3 + -4)/(0 + v/(-4))?
1
Let y = -17137 + 18372. Calculate the remainder when y is divided by 615.
5
Let w(k) = 57*k**3 + k**2 - 56*k**3 - 4*k**2 + 1 - 15*k. Let s be w(6). Let r(v) = -v**2 + 22*v + 12. Calculate the remainder when r(s) is divided by 18.
15
Suppose 2*m = -3*h + 41, 4*m + 6*h - 4*h - 78 = 0. Suppose -2442 = m*f - 23304. Calculate the remainder when f is divided by 44.
42
Let t = 17 - -1. Let p(b) = 2*b**3 - 34*b**2 + 40*b - 5. Let z = 212 + -196. What is the remainder when p(z) is divided by t?
15
Suppose 82*u - 83*u - 13428 = -4*q, 3*q + 2*u - 10082 = 0. Calculate the remainder when q is divided by 10.
8
Let l = 540 - 480. Suppose 4*o - 13*w = -8*w + 81, -l = -2*o - 4*w. Calculate the remainder when 82 is divided by o.
10
Suppose -2*x + 80 = 2*b - x, -2*b = -3*x - 88. Let y(h) = 67*h - 15. Let z be y(2). Let o = z + -105. Calculate the remainder when b is divided by o.
13
Suppose -3*v = -42*v + 4095. Calculate the remai