der when 54 is divided by x?
25
Let n = -4412 - -11502. Calculate the remainder when n is divided by 9.
7
Suppose 4*s + 20 = 0, 415*s - 241 = -4*w + 420*s. What is the remainder when 1182 is divided by w?
48
Let s = 736 - 684. What is the remainder when 103 is divided by s?
51
Let o be 189/14*(-5)/5*-122. Suppose -4*r + o = 23*r. What is the remainder when r is divided by 19?
4
Suppose 0 = -3*t - 77*q + 76*q + 180, 3*q = 3*t - 180. Calculate the remainder when 352 is divided by t.
52
Let x = -51 - -97. Suppose -2*a + x + 18 = 0. What is the remainder when (-150)/((-12)/a - (-13)/(-8)) is divided by 13?
10
Calculate the remainder when 4805 is divided by 650/25*70/20.
73
Suppose 2*c + 4 = 4*c, -5*v + 2*c = -61. Suppose 3*o = 3*f + 147, 5*o + 14*f - 239 = v*f. Calculate the remainder when 524 is divided by o.
44
Suppose -2*s + n = -63, 0 = -n - 8 + 5. Let b(d) = 2*d**3 + 7*d**2 + d. Let o be b(-5). Calculate the remainder when s is divided by o/2*22/(-55).
14
Suppose -3*m = -575 - 295. Let j = 770 - 959. Let s = m + j. What is the remainder when s is divided by 26?
23
Suppose -9*v = -5*v. Suppose v = -5*w + 135 + 30. Let h = w + -26. What is the remainder when 55 is divided by h?
6
Suppose -355880 = -600*b + 544*b. What is the remainder when b is divided by 39?
37
What is the remainder when 367 is divided by 14/(-7 + -1 - -6)*12/(-7)?
7
What is the remainder when (2159/(-2))/((-35)/980*14) is divided by 113?
12
Let z(y) = 106*y**2 - 22*y - 24. What is the remainder when z(-5) is divided by 23?
22
Let l(z) = 19*z + 773. What is the remainder when l(-15) is divided by 49?
47
Let l(h) = -h**2 - 7. Let c be l(-9). Let i = -24 - c. Suppose 198 = -5682*o + 5691*o. Calculate the remainder when i is divided by o.
20
Suppose -5*t + 8*t + 3*n = 981, -2*n = -4*t + 1356. Calculate the remainder when t is divided by 12.
11
Let w(j) = -j - 16. Let h = -31 + 13. Let d be w(h). Suppose 2*q + 2*m - m = 15, -26 = -3*q + d*m. Calculate the remainder when 15 is divided by q.
7
Suppose 12000 = 93*g - 53*g. Calculate the remainder when 350 is divided by (-75)/g + 74/8.
8
Suppose 0 = -9*b + 90 - 81. What is the remainder when 172 is divided by (30 - (b - 10)) + -3?
28
Suppose -19*f + 24 = -17*f. Let j = 47 + -33. What is the remainder when ((-414)/f)/(2/(-4)) is divided by j?
13
Let n = 304 + -302. Let y(g) = 23*g**3 - 4*g**2 + 3*g - 2. What is the remainder when y(n) is divided by 6?
4
Suppose -77 = -5*h + 3. Let g(y) = -10*y + 271. Let r be g(27). Calculate the remainder when h is divided by (((-12)/(-30))/1)/(r/15).
4
Suppose -2*m - 50 = 2*d + 2*d, -4*d - 5 = -m. Let w(k) = 6*k + 2. Calculate the remainder when (-5)/(m/348) + 40/(-8) is divided by w(2).
13
Suppose -6*m + m = 135. Let q = 6183 + -6177. What is the remainder when 38 is divided by -33*q/m*(-3)/(-2)?
5
Let i = 5353 + -4201. Calculate the remainder when i is divided by 3.
0
Let k = 453 + -457. What is the remainder when 377 is divided by 3/k + (-391)/(-68)?
2
Suppose 87 = y - 15. Suppose 11*p - y = 140. Suppose 3*j = 2*j + 63. What is the remainder when j is divided by p?
19
Suppose -6*j + 3*p = -5*j + 6, 5*p - 3 = 4*j. Suppose -w - j = -7. Suppose -3*q + 13 = -4*m, 1 = q - 5*m + w. What is the remainder when 8 is divided by q?
1
Let k = 6 + -1. Suppose 0 = k*h - 285 - 75. Suppose 4*q = 1 + 59. Calculate the remainder when h is divided by q.
12
Let g be 33/(-2)*(-32)/(-24). Let i = -145 - g. Let c = i + 131. Calculate the remainder when 14 is divided by c.
6
Let r(g) = -2*g**3 + 21*g**2 + 13*g + 14. Calculate the remainder when 207 is divided by r(11).
27
Suppose -45 = o - 32*o + 30*o. Calculate the remainder when 2923 is divided by o.
43
Let r(l) = -l**3 - 57*l**2 + 30*l + 1779. Let u(n) = -n**2 + 7*n - 7. Let i be u(5). Calculate the remainder when r(-57) is divided by i/4*(2 - -22).
15
Let k(y) = 6*y**2 + 59*y + 15. Suppose -3*c - 3*i + 240 = -6*i, -c + 3*i + 72 = 0. Calculate the remainder when c is divided by k(-10).
9
Suppose 2*o = 207 - 237. What is the remainder when 96/((-15)/9 - 35/o) is divided by 19?
11
Let o(f) = f**3 - 16*f**2 + 4*f - 129. Suppose 0 = -u - 4*k + 13, -2*u - 5*k + 140 = 3*u. What is the remainder when o(17) is divided by u?
30
Let u(j) = 6*j - 6. Suppose 4*k + 3*y - 25 = 0, 3*k = k - 3*y + 5. Calculate the remainder when u(k) is divided by 29.
25
Let i(m) = 50*m - 5827. What is the remainder when i(128) is divided by 142?
5
Let n = -6423 + 6484. Calculate the remainder when n is divided by 31.
30
Suppose 2*d - 110 = 3*i, 4*i - 3*i = -2*d + 94. Let l = 50 + d. Let h = -59 + l. What is the remainder when 117 is divided by h?
37
Suppose -3*r = -0 - 6. Suppose -41*u + 3*u - 1558 = 0. Let k = r - u. What is the remainder when k is divided by 11?
10
Let n = 36 - -55. Let u = n - 21. What is the remainder when u is divided by 37?
33
Suppose -2*d + 20*s = 23*s - 1091, -5*d - 5*s + 2705 = 0. What is the remainder when d is divided by 526?
6
Let a = 32 + 7. Let n be 4/36*a + 2/(-6). What is the remainder when 6/n*(-68)/(-6) is divided by 6?
5
Let w = -11346 + 11417. Suppose -7 - 17 = -i. Calculate the remainder when w is divided by i.
23
Calculate the remainder when 382 is divided by 1*(-5 + (-12 - -69)).
18
Suppose 6*w - 90 - 12 = 0. Suppose -t + 66 = -s + 4, 4*t + 5*s = 221. Suppose -t = -i + w. Calculate the remainder when i is divided by 7.
6
Let t(d) = 10 - 7 + 10 - d + 6. Let k be t(16). Suppose k*w - 26 = w. Calculate the remainder when w is divided by 5.
3
Let w(o) = -o**2 - 11*o - 14. Let r be w(-9). What is the remainder when ((-45)/(-10) - r)*-6 - -32 is divided by 6?
5
Suppose 6*a - 22*a - 29*a = -10845. Calculate the remainder when a is divided by 72.
25
Let d = 2276 - 2238. Calculate the remainder when 2049 is divided by d.
35
Suppose -44*f + 1212 = 655 - 2655. Calculate the remainder when 391 is divided by f.
26
Suppose -a + 3*a - 8 = 0. Suppose -t - 11 - 3 = -2*g, -4*t = -a*g + 24. Let j(y) = -y**2 + 10*y + 15. Calculate the remainder when 123 is divided by j(g).
30
Suppose -34*f + 3154 = -4938. Suppose -5*z + f = -2*k, -11*z - 3*k - 150 = -14*z. What is the remainder when z is divided by 32?
14
Let y = 4162 - 3478. What is the remainder when y is divided by 147?
96
Let u = 19 + 6. Calculate the remainder when (-1)/7 + (-26670)/(-98) is divided by u.
22
What is the remainder when -410*(2 + 46/(-20)) is divided by -2 + 2 - -3 - -3?
3
Let a = 70 - 128. Suppose 25*f = 28*f + 153. Let h = f - a. Calculate the remainder when 32 is divided by h.
4
Let p = -4721 - -8620. Calculate the remainder when p is divided by 156.
155
Let v(h) = 336*h - 602. Calculate the remainder when 165 is divided by v(2).
25
Suppose 2*o - 412 = 5*z, 3*o - 5*z - 78 = 540. What is the remainder when o is divided by 5?
1
Suppose 312 = 109*y - 111*y. Let g = y + 159. Calculate the remainder when g is divided by 3.
0
Let t = 169 + -167. Calculate the remainder when 117 is divided by (1/2)/(t/68).
15
Suppose -26668*b - 37014 = -26854*b. Suppose c + 83 = 2*s - 15, 158 = 3*s + 4*c. Calculate the remainder when b is divided by s.
49
Let d be -2*2 - (-14 + 9). Let v(a) = -49 + 2*a + 88 - 42 + a**2 + 42*a**3. What is the remainder when v(d) is divided by 15?
12
Let n(b) = -2*b - 14. Let o be n(-9). Suppose 3*x = 6*x + 3*g - 36, -2*x - o*g = -16. Suppose x*h = 15*h + 164. What is the remainder when h is divided by 33?
32
Let w(o) = -o**3 + o**2 - 2*o - 6. Let b be w(0). Suppose -4*m - 189 - 11 = 0. Calculate the remainder when 23 is divided by m/b - (2 + (-24)/9).
5
Suppose 14*y + 2043 + 43 = 0. Let r = -115 - y. What is the remainder when r is divided by 20?
14
Let d = -26130 + 26152. Calculate the remainder when 188 is divided by d.
12
What is the remainder when (-16 - (-8436)/(-16))/(2/(-8)) is divided by 94?
11
Suppose -2*a - 40 = -76. Let i be 0*(1/3 - (-12)/a). Suppose -3*z + 15 = i, 5*n - 2*z - 18 = 72. What is the remainder when 77 is divided by n?
17
Let h = -26 - -25. Suppose -w + 165 + 96 = 5*a, 0 = -4*a + w + 216. What is the remainder when a is divided by (2 - 19/5)*(h + -14)?
26
Calculate the remainder when (-2655)/(-54) - 65/(-78) is divided by 17.
16
Suppose 1453 - 5863 = -21*d. Calculate the remainder when d is divided by 9.
3
Let h(g) = -6*g. Suppose -2*u = u - u. Suppose -8*k + 23 + 529 