der when p(35) is divided by 229.
60
Suppose 0 = -5*u + y + 2026, 3*u + 611*y - 607*y - 1257 = 0. Calculate the remainder when 1554 is divided by u.
333
Let z(m) = m**3 + 11*m**2 - m + 9. Let u be z(-8). Calculate the remainder when u - -3 - (3 - 6) is divided by 31.
29
Let k = -5 + 10. What is the remainder when 9/(-6)*3904/(-96) is divided by k?
1
Let v(u) = u**3 + 8*u**2 + u + 10. Let h be v(-8). What is the remainder when (6/30*5)/(h/20) is divided by 3?
1
Let r = 53 - 49. Suppose r*g - 4*k - 14 = g, -4*g = -2*k - 12. Suppose g*b - 66 = -3*x, -2*x = -7*x + b + 97. Calculate the remainder when 77 is divided by x.
17
Let t = 66 - 53. What is the remainder when -45*((-273)/27)/13 is divided by t?
9
Suppose -313*w + 104250 = 62*w. Calculate the remainder when 11115 is divided by w.
273
Let d(o) = 6*o**2 + 110*o - 737. What is the remainder when d(7) is divided by 133?
61
Let m = 167 - 122. What is the remainder when 607 is divided by ((-120)/m - -4)*(-261)/(-4)?
85
Let g be (-2)/7 + 16/56. Calculate the remainder when 11 + 6 + -2*(-1 - g) is divided by 14.
5
Let p = 70 + 27. Let a = p + -9. Let i = a + -75. Calculate the remainder when i is divided by 8.
5
Calculate the remainder when 2355 is divided by (-237 + 236)/((-2)/20).
5
Let t(f) = 6*f**2 - 288*f + 86. Calculate the remainder when t(49) is divided by 1/5 - 274/(-5).
50
Let q(u) = 8*u + 44. Let w be q(-6). Calculate the remainder when 66 is divided by (-12)/15*(-4 - (-54)/w).
10
Let k(v) = v**3 + 10*v**2 + 11*v + 17. Let x be k(-8). Let f = x - 4. What is the remainder when 150 is divided by f?
44
Suppose 2939 = -11*x + 3071. What is the remainder when 456 is divided by x?
0
Suppose 2*k = 7*k + 30. Calculate the remainder when (55/(-2))/((-15)/12 - -1) is divided by (4/k)/(3/(-27)) + 1.
5
Let x(h) = 0 - 6 + h**3 + 2 + 7*h**2 + 6. Let o be x(-7). Suppose 22 = 2*z + j, -3*j + 4 = o*z - 10. What is the remainder when 32 is divided by z?
6
Suppose 0 = -4*s + a + 64973, a + 337 - 340 = 0. Calculate the remainder when s is divided by 211.
208
Let v be 1/2 + 44/8. Let m(j) = 10*j**3 + 2*j**2 - 2*j + 1. What is the remainder when (-2)/(-11) - (v + 1420/(-55)) is divided by m(1)?
9
Let p = 11 + 38. Let a = p + -44. What is the remainder when 9 is divided by a?
4
Suppose 5*t = 16*t + 7216. Calculate the remainder when ((-2)/8)/(4 + 2628/t) is divided by 21.
20
Let y = 5 + 5. Let i = 0 + y. What is the remainder when ((-123)/41)/(6/(-32)) is divided by i?
6
Suppose 96*k - 99*k = 7*i - 5745, 4*i + 1953 = k. What is the remainder when k is divided by 121?
114
Suppose -6*o + 34 + 32 = 0. Let z be (7/7)/((-1)/21). Calculate the remainder when z*(-10)/6 + -3 is divided by o.
10
Let b(n) = 25*n - 6. What is the remainder when b(6) is divided by (-1388)/(-48) - (-9)/108?
28
Let w = -16 + 18. Let f(r) = 38*r**2 + 2*r - 5*r + 2 + 1 - 25*r**2. Calculate the remainder when f(w) is divided by 13.
10
Let k be -6 - (-2)/(2/233). Let n = k - -35. Let i = -2 - -55. Calculate the remainder when n is divided by i.
50
Let k(c) = 24*c**2 + 3*c + 5. What is the remainder when k(-4) is divided by 234/191763*149 + (-23)/11*-9?
16
Let s be (-1 - -2)/(1 + (0 - 2)). Let q be s*(-4)/18 - 5719/(-63). Let x = 191 - q. Calculate the remainder when x is divided by 17.
15
What is the remainder when 3*(1832/12 - -3) is divided by 136?
59
Let s(j) = 48*j - 1. Let n be 74*1 - (-28 + 8)/10. Suppose -b + n = 64. What is the remainder when s(1) is divided by b?
11
Let x = 9024 + -8718. What is the remainder when x is divided by 26?
20
Let n be 19104/40 + 12/30. Let r = n - 259. What is the remainder when r is divided by 55?
54
Let x be -2 + (40 - (6 + -3)). Let p be (-23)/1*(16 + -6 + -9). Let r = p + x. Calculate the remainder when 45 is divided by r.
9
Suppose -f + 113 + 195 = 2*h, -h + 145 = -4*f. Calculate the remainder when 394 is divided by ((-1)/(1/(-4)))/(h/1683).
42
Let q = 6368 + -5872. What is the remainder when 1515 is divided by q?
27
Suppose -4*d = 3*r - 313 + 1026, -d - 5*r - 174 = 0. Let c = d + 188. What is the remainder when 60 is divided by c?
6
Suppose -26*r = -45*r + 950. What is the remainder when 145 is divided by r?
45
Let a(o) = -o**3 - 2*o**2 + 6*o + 5. Suppose 0*h = z + h, 0 = -5*z + 3*h. Suppose z*v = -v + 25. What is the remainder when v is divided by a(-4)?
12
Let x = -30292 - -30512. Calculate the remainder when 1332 is divided by x.
12
Suppose 2*n + 6*n + 56 = 0. Let m be 2*-1*(3 - (-14)/n). What is the remainder when 72 is divided by (-10)/((-2)/(-1) + 8/m)?
2
Let i(z) = -z**3 + 4*z**2 + 7*z + 8. Let a be i(-8). Suppose 344 + a = 19*s. Calculate the remainder when s is divided by 30.
26
Suppose -36*a - 461 = -1325. What is the remainder when 645 is divided by a?
21
Suppose 0 = -4*m + 3*m + 6. Let g be (-264)/(-10)*45/m. Suppose -g = -7*i + i. What is the remainder when i is divided by 17?
16
Suppose r - 5*d - 49 = 0, -4*r = -d - 134 - 157. Let h be (-6)/39 + 3220/(-26). Let g = -105 - h. What is the remainder when r is divided by g?
17
Calculate the remainder when (-431)/(6 + -7 - 4/(-6)) is divided by 12.
9
Suppose 4*l - o - 13 = 0, 3*o = l + 6*o. Suppose -4*y + 8*y + 12 = l*m, -5*y = 0. Calculate the remainder when 15 is divided by m.
3
Suppose -28*u + 30*u - 5030 = -4*f, -3*u = -3*f - 7617. What is the remainder when u is divided by 12?
11
Let t = 403 - 203. Suppose 31 - 154 = -3*s + 4*o, 0 = 5*s - 5*o - t. Calculate the remainder when 56 is divided by s.
19
Suppose 14*n + 68 - 1874 = 0. Calculate the remainder when 543 is divided by n.
27
Let x = 10 - 21. Let k(u) = -3*u - 20. Let g be k(x). Let v = g + 3. What is the remainder when 30 is divided by v?
14
Suppose -2 = b - 0, 5*t - 2*b = 34. Suppose 0 = -844*x + 842*x + 22. Suppose 425 = t*z + x*z. What is the remainder when 198 is divided by z?
23
Let h(z) = 35*z**2 + 15*z - 14. Let o be h(1). Suppose o*i - 33*i = 33. Let j = -81 - -135. Calculate the remainder when j is divided by i.
10
Let u be (-1)/3*((-6)/1 + 6). Suppose -j - 4*b + 33 = u, 3*j - 31 = -15*b + 20*b. Calculate the remainder when j is divided by 8.
1
Let z be (-4)/(-6)*672/64. Suppose 0 = z*s + 21*s - 1820. Calculate the remainder when s is divided by 22.
21
Let v(t) = -t**2 - 42*t + 676. What is the remainder when v(11) is divided by 70?
23
Suppose -145*p + 20394 = -46*p. What is the remainder when p is divided by 88?
30
Let j(p) = 7*p**2 - 2*p - 2. Suppose 5*i = 9*i - 12. What is the remainder when j(i) is divided by 1*11 - (71 - 75)?
10
Calculate the remainder when ((-275)/(-44))/(5 - (-859)/(-172)) is divided by 181.
170
Let r(l) = l**3 - 25*l**2 - 55*l + 515. What is the remainder when r(27) is divided by 25?
13
Suppose 273 = 9*i + 4*i. Suppose 0 = -5*w + 5*k + 945, -3*w - k + 727 = 180. Calculate the remainder when w is divided by i.
16
Let t(p) = 2*p**2 - 134*p + 3939. Calculate the remainder when t(60) is divided by 36.
3
What is the remainder when ((-7269)/(-45) + (-30)/(-225))*(-24)/(-10) is divided by 6?
4
Let q(y) = y**3 + 18*y**2 + 1. Let t be q(-18). Suppose 5*p - 2*b = -5*b - t, -5*p = -b - 7. What is the remainder when 6 is divided by p?
0
Suppose -48 = -4*a + 4*s, 2*s - 7*s + 75 = 4*a. Let z be 6*(a/(-6) + 2). Calculate the remainder when 21 is divided by (-5)/((-10)/12) - z.
3
Let q(l) be the first derivative of -l**3/3 + 8*l**2 - 25*l + 5. Calculate the remainder when (-2)/(6/(-81)) - 1 is divided by q(13).
12
Let s = -666 + 255. Let d = s - -423. Calculate the remainder when 40 is divided by d.
4
Let y(o) = 29*o**2 - o. Let t(g) = 3*g**2 + 538*g + 1820. Calculate the remainder when t(-176) is divided by y(1).
4
Let u be 12/36 + 5/3. Suppose 80 - 36 = u*h. Calculate the remainder when 25 is divided by h.
3
Let v = -111 - -137. Suppose -j - 110 = -4*w, 4*j - 10 = -w + v. Suppose 0 = -4*y + 28 + 32. What is the remainder when w is divided by y?
13
Let q(p) = -p + 14. Let h be q(11). Suppose -3*i + 46 = 4*j - 0*j, h*j - i = 28. What is the remainder when 48 is divided by j?
8
Let i = 3111 - 2994. What is the remainder when 350 is divided by i?
116
Calculate the remainder when (-24)/(-56)*-7*14/(-6) + 65 is divided by 23.
3
Let b(v) = -3*v + 1 - 8 + 1 + 2*v**2. Let i(a) = 3*a**3 + 97*a**2 - 70*a - 17. What is the remainder when i(-33) is divided by b(5)?
28
Let 