the remainder when 3/4 + (-119700)/(-720) is divided by 66.
35
Let u(m) = 2*m**3 - 15*m**2 + 16*m - 57. What is the remainder when u(7) is divided by 6?
0
Let x = 4050 + -4031. Let u(v) = 10*v + 6. What is the remainder when u(5) is divided by x?
18
Suppose -13 - 7 = -2*k. Suppose 0 = -k*n + 5 + 15. What is the remainder when 2313/12 + n/8 is divided by 15?
13
Suppose 4*q - 274 - 54 = 0. Let d = q - 53. Let l(r) = -r**2 + 43*r - 301. What is the remainder when d is divided by l(9)?
4
Let w(q) = -18 + 33 - 16 + q. Let g be w(6). Suppose -2*d - d + g*k + 77 = 0, 5*d - k = 121. Calculate the remainder when d is divided by 7.
3
Suppose -193 = -2*z + 3*c, -2 - 1 = 3*c. Calculate the remainder when 840 is divided by z.
80
Let i = -15864 - -18025. What is the remainder when 4327 is divided by i?
5
Let f = 431 - -1581. What is the remainder when f is divided by 24?
20
Suppose 0 = -11*o + 7*o + 16. Suppose o*c - 504 = -2*c. Suppose -9*g + c = -5*g. What is the remainder when g is divided by 6?
3
Let t be 62 - ((4 - 0)/1 - 2). Calculate the remainder when (-7 - 192/(-30))/((-3)/t) is divided by 5.
2
Suppose 3*y = -5*o + 84, -40*o = -5*y - 44*o + 114. Let f(n) = n**3 - n**2 - 3*n - 3. Calculate the remainder when f(4) is divided by y.
15
Let h = 230 + -350. What is the remainder when 326 is divided by (-9860)/h - (-1)/(-6)?
80
Suppose 5703 = 2*a - 5*g, a - 8537 = -2*a + 4*g. Calculate the remainder when a is divided by 7.
4
Suppose -h + 233 = 2*v, 4*h - 2*h = -10. Let w(l) = l**2 + 155*l - 1984. What is the remainder when v is divided by w(12)?
19
Let j = 43 - 25. Let b(m) = 11*m**2 + 68*m - 667. What is the remainder when b(-14) is divided by j?
15
Suppose -f + 2*v = -2, -f + v - 4 + 10 = 0. Suppose -278 = -3*m + 163. Calculate the remainder when m is divided by f.
7
Suppose -168 = -8*m - 40. Let i(q) = -3*q - 12. Calculate the remainder when i(-16) is divided by m.
4
Let c be (-1)/((-2)/8)*(-145)/116 - 29. Let r be ((-106)/(-4))/((-3)/6). Let v = c - r. Calculate the remainder when 72 is divided by v.
15
Let b be 9/(-27) - 493/(-3). Let j = -32 + b. Calculate the remainder when j is divided by 46.
40
Let w(i) = 33*i + 1231. Calculate the remainder when w(-4) is divided by 11.
10
Let v = 129 + 100. Let a(o) = -14*o**3 + o**2 - 3*o - 4. What is the remainder when v is divided by a(-2)?
111
Suppose 5*v + 13245 = 5*u, 220*v + 13189 = 5*u + 223*v. What is the remainder when u is divided by 23?
20
Let o = 779 + -763. Suppose 4*z = 5*t - 2*t - 193, -60 = -t - 3*z. Calculate the remainder when t is divided by o.
15
Let p(f) = f**2 - 22*f + 88. Suppose -5 = -5*b, 2*j = 5*b - b + 30. Calculate the remainder when 13 is divided by p(j).
1
Let w be (7 + 2 + -255)*(-15)/6. Let q = 626 - w. Calculate the remainder when q is divided by 8.
3
What is the remainder when 610 is divided by ((-51)/(-68))/(6/(-16)) + 49?
46
Let o = 1785 + -2825. Let b be o/6*(-72)/(-32). What is the remainder when 36 is divided by 28/6*b/(-91)?
16
Suppose -3*a - a + 88 = 0. Let q(b) = b**3 + 22*b**2 + 214*b + 724. What is the remainder when q(-5) is divided by a?
13
Suppose 5*h = 3*h + 18. Suppose 7*a - 379 = 335. Suppose 3*w = 3*o - a, -4*o = -6*o - w + 68. Calculate the remainder when o is divided by h.
7
Let v(u) = 12*u - 32. Let h be v(3). What is the remainder when 42 is divided by ((15/6)/(-5))/(h/(-72))?
6
Let f = 189 + -128. What is the remainder when f is divided by 0 + 31 + (2 - 14/7)?
30
Let l(s) = -s**3 + 39*s**2 + 41*s - 826. What is the remainder when l(37) is divided by 39?
36
What is the remainder when (-3)/45 + 21 + 142810/150 is divided by 244?
241
Let g be 25/(75/(-18)) - 528. Let q = g - -562. Calculate the remainder when 95 is divided by q.
11
Suppose o - 4*o = 0. Suppose -4*p + 22 - 2 = o. Calculate the remainder when 140/(-15)*6/(-4) is divided by p.
4
Suppose 5*n = 5*j - 55, n = -0*j + 4*j + 1. Let i be 5/(40/12)*(-182)/(-273). What is the remainder when 6/n + i + (-1035)/(-25) is divided by 22?
20
Calculate the remainder when 198 + -210 - (4 - 799) is divided by 99.
90
Let p(h) = 478*h**3 + 32*h**2 - 34*h + 2. Calculate the remainder when p(1) is divided by 16.
14
Suppose -8*g + 194 = -6*g. Let r = 0 + g. What is the remainder when r is divided by 7?
6
Suppose -6*q + 87 = 11*q - 355. Calculate the remainder when 465 is divided by q.
23
Let d(l) = 18*l**2 - 1. Suppose 64 = -5*o + 79, -3*p = -2*o - 54. Calculate the remainder when d(-2) is divided by p.
11
Let v = 580 - 535. What is the remainder when 310 is divided by ((-318)/(-27))/(5/v)?
98
Let d(i) = -2*i**2 + 25*i + 93. Let f be d(17). Calculate the remainder when (95 - 1) + 0*6/f is divided by 12.
10
Let g = -9578 + 12263. What is the remainder when 8063 is divided by g?
8
Suppose -180 = 4*u - 9*u + 2*d, 0 = 5*d. Calculate the remainder when 2118 is divided by u.
30
Let l(d) = -3*d**3 - 274*d**2 - 102*d - 665. Calculate the remainder when 342 is divided by l(-91).
6
Suppose -72 = -23*v - 26. Suppose l - 88 - 4 = -3*p, -v*l + 3*p + 193 = 0. What is the remainder when 282 is divided by l?
92
Let n = 3801 - 3718. What is the remainder when 652 is divided by n?
71
Let u = -43 - -91. Suppose u = -r + 55. Suppose -r = -2*s + 17. Calculate the remainder when s is divided by 2.
0
Let t(i) = 7*i + 0*i**2 - 6 - 11 + i**3 - 6*i**2 + 2*i. Let u be t(5). Suppose u*z = 62 + 1. Calculate the remainder when z is divided by 11.
10
What is the remainder when 344 is divided by 35 + -46 - ((-2 - 44) + -3)?
2
Let c be -1*(-15)/(9/3). Suppose 2*u = -5*n + 20, n = c*u + 4*n - 88. Calculate the remainder when 37 is divided by u.
17
Suppose 4763*z + 4773*z = 9488*z + 7152. What is the remainder when z is divided by (-2)/9 - 598/(-18)?
17
Let x = 24 + 18. Calculate the remainder when 20*4 + (80/(-100) - 49/(-5)) is divided by x.
5
Let g be (-12)/(-6)*2 - 868/4. Let v = -200 - g. Calculate the remainder when 84 is divided by v.
6
Let t(k) = -20*k**2 - 6*k + 4. Let a(l) = l**2 - 2*l + 1. Let h(v) = 6*a(v) - 2*t(v). What is the remainder when h(-1) is divided by 16?
12
Suppose h = 6*h - 215. Let v(s) = 185*s + 4413. What is the remainder when v(-23) is divided by h?
29
Let t = 39 + -35. Let c = 121 - 74. Calculate the remainder when c is divided by t/(-14) - -6*(-192)/(-63).
11
Suppose -2*z = 3*d - 0 + 1, -1 = -2*d - 3*z. What is the remainder when 137 is divided by (-7 + (-6)/d)*-10?
7
Suppose 0 = y + 3*u + 45, 8*u - 13*u = -y - 21. Suppose -4*g = 3*s + 161, 2*g + 0*g = -4*s - 198. Let o = y - s. What is the remainder when 30 is divided by o?
8
Suppose 290*c - 322*c + 3808 = 0. What is the remainder when 16539 is divided by c?
117
Suppose 4*h = 53 + 47. Let z be 126/((-44)/(-20) - 2/10). Suppose 66*p = z*p + 21. Calculate the remainder when h is divided by p.
4
Let d be 8/((-116)/56 - -2). Let m be (-3 - -1 - 3)*396/(-10). What is the remainder when 123 is divided by m/14 - (-16)/d?
11
Let d = 7 + 3. Let p(n) = -n + 22. Let f(l) = -l**2 - 17*l + 44. What is the remainder when f(0) is divided by p(d)?
8
Suppose 7607 = 2*w + 3*s, 4*w - 395 = -5*s + 14822. Calculate the remainder when w is divided by 15.
13
Let g = 7438 + -6631. Calculate the remainder when g is divided by 44.
15
Let l be 67 - (3/(-6))/((-2)/(-4)). Let m = l - -218. Calculate the remainder when m is divided by 12.
10
Let x = -497 - -512. Suppose 10*w = -x*w + 75. What is the remainder when 6 is divided by w?
0
Suppose 9*m = 4*m + 245. Calculate the remainder when m is divided by 4*2/(-22) - (125936/(-748) - -140).
21
Let w = -11484 - -11511. What is the remainder when 18573 is divided by w?
24
Let k be ((-28)/(-35))/((-2)/(-30)). Suppose -5*b = 2*c - 49, k = 8*b - 4*b. Calculate the remainder when 49 is divided by c.
15
Suppose -12*q = -13*q + 3*a + 400, -1220 = -3*q - a. Let o(v) = -4*v**2 + 43*v - 29. What is the remainder when q is divided by o(9)?
32
Suppose -5*i = 3*g + 306, -g - 14 = -2*i + 77. Let l = g - -231. Let z = 222 - l. What is the remainder when z is divided by 18?
16
Let z = -12265 + 14368. Calculate the remainder when z is divided by 81.
78
Let j(h) = -189*h - 3057. Calculate the remainder when j(-17) is divided by 74.
8
Suppose 3*m = 3*i + 24, -3*m - 2*m + 3*i + 48 = 0. Let f = -27 + 59. Calculate the remainder when f is divided by (2/(-3) - (-116)/m) +