4
Let t be (-1918)/(-49) + 1/(-7). Let q = t + -54. Calculate the remainder when 374/10 - q/25 is divided by 20.
18
Let x(p) = 161*p + 5. Let s be x(-1). Let a = s + 392. Calculate the remainder when a is divided by 60.
56
Calculate the remainder when 117 is divided by (5/(-2))/(35241/(-1598) + 22).
23
Suppose 3*y - 56 = 9*f - 4*f, 0 = -3*y - 5*f + 16. Let o(z) = 9*z + 16. What is the remainder when o(y) is divided by 27?
16
Let y be (-3 + (-30)/(-4))/(12/16). Suppose 4*d = 8, 2*j - 2*d + 1080 = y*j. Calculate the remainder when j is divided by 54.
53
Let a(r) = -252*r**3 - 9*r**2 - 6*r + 4. Calculate the remainder when 511 is divided by a(-1).
5
Suppose -3*c + 77 = -3*b + 20, b + 35 = 2*c. Suppose 0 = 4*s - 535 - 149. What is the remainder when s is divided by c?
11
Suppose -5*d + x + 9 = -15, -4 = -4*x. Suppose d*p - s = p - 4, -4*s + 1 = -p. What is the remainder when 58 is divided by (2*p/(-3))/((-18)/(-459))?
7
What is the remainder when 132/66 + (-2 - -5)*116 is divided by 71?
66
Suppose -58314 + 30810 = -317*q + 152235. What is the remainder when q is divided by 114?
111
Let y be 3 + -13 + -9 + 5 - 0. Calculate the remainder when 220 is divided by -4 + (-58)/y - (-2068)/28.
72
Suppose 4*y + 8 = 0, 133*y + 132 = 4*m + 137*y. Calculate the remainder when m is divided by 33.
2
Let k = 5801 - 5764. What is the remainder when 479 is divided by k?
35
Let u(n) = 122*n - 6925. Calculate the remainder when u(78) is divided by 72.
71
Suppose 5*a - 1464 + 1619 = 0. Calculate the remainder when (a/2)/(7 - (-135)/(-18)) is divided by 17.
14
Let y = -105 + 171. Calculate the remainder when y is divided by (17940/(-207))/(52/(-24)).
26
Suppose -28700 = -61*z + 17538. Calculate the remainder when z is divided by 248.
14
Suppose -5*z = -3*z - 138. Calculate the remainder when z is divided by 23.
0
Let w(p) = p**2 + 32*p + 193. Let a be w(-25). Suppose a*m + 42 = 25*m. What is the remainder when 19 is divided by m?
1
Suppose -206 = -5*j + 164. Suppose 4*p = h + j, 37 + 12 = 3*p - 4*h. Suppose -53*c + 47*c + 18 = 0. Calculate the remainder when p is divided by c.
1
Suppose -3*r + 3*l = 26 - 125, 5*r + 5*l = 95. Calculate the remainder when 6316 is divided by r.
24
Let h = 129 + -64. Suppose 5*g + h = 5*l, -4*l + 9*l - 2*g - 56 = 0. Suppose l*m - 239 = -59. What is the remainder when 50 is divided by m?
14
Let m = 9 + -9. Suppose 0 = j - m*j - 17. Let t(l) = l**3 - 2*l**2 - 9*l + 9. What is the remainder when j is divided by t(4)?
2
Let s = -138 - -143. Suppose -s*h - 220 = -5*c, -5*h + 20 = 12*c - 11*c. Calculate the remainder when 237 is divided by c.
37
Calculate the remainder when 1824 is divided by (856/12 - (-3)/9) + (-24)/(-18).
72
What is the remainder when (14812/(-966))/(2/(-3)) is divided by 1/((-3)/99*-3)?
1
Suppose -119*h - 300 = -69*h - 65*h. Calculate the remainder when 216 is divided by h.
16
Suppose -33*k + 5 = -32*k. Suppose k*j = -29 + 39. Suppose -40 = -5*v + o, j*v = -0*v + 4*o + 16. Calculate the remainder when 12 is divided by v.
4
Suppose 4*g = 2*q - 8 - 10, 2*g + 4 = 0. Suppose -q*d + s + 564 = -2*s, -4*s - 123 = -d. Calculate the remainder when d is divided by 35.
6
Suppose 0 = 93*l - 32929 - 43424. Calculate the remainder when l is divided by 118.
113
Let n be -1*(-8 + (-1 + 2)*5). What is the remainder when (-21400)/(-280) + n/(-7) is divided by (-2)/(-11) - (-987)/77?
11
Let o = -109 - -157. Let s be o/22 - (-56)/(-308). Suppose -s*c - 32 = -6*c. What is the remainder when 39 is divided by c?
7
Let w be ((-2)/(-18)*6)/(3/18). Suppose 0 = -w*y + 3*v + 99, -v + 58 = 4*y - y. What is the remainder when y is divided by 7?
0
Let w(x) = -12*x + 932. Calculate the remainder when 222 is divided by w(76).
2
Suppose 3*j + 12*y - 4464 = 9*y, -j + 3*y + 1456 = 0. What is the remainder when j is divided by 27?
22
Let y be -1 + (20/5 - 0). Suppose 0 = y*c + r - 106, -6*r = 3*c - r - 98. Suppose 0 = -2*b + c - 16. What is the remainder when 67 is divided by b?
7
Let w(t) = 2*t**3 - 5*t**2 - t + 3. Let o be ((-132)/12)/((15/10)/(-3)). Let x(k) = -4*k + 104. What is the remainder when w(4) is divided by x(o)?
15
Let i = 16 - 6. Let m = -324 - -432. Suppose 123*f - 60 = m*f. What is the remainder when i is divided by f?
2
Let s = 47 + -43. Suppose -4*p = p - 55. What is the remainder when 3 - ((-3)/1 + -17 + s) is divided by p?
8
Let c = -2687 - -3358. What is the remainder when c is divided by 51?
8
Suppose 0 = 5*c + m - 22902, -4*c + 6*m = 7*m - 18321. Suppose 5*j - 695 = -n + 439, -4*n - 5*j = -c. Calculate the remainder when n is divided by 8.
5
Suppose 0 = 2*k - 5*n - 241, 3*k - 41*n + 45*n = 350. Suppose 0*r - 4*y - 92 = -2*r, 4*y + 12 = 0. Calculate the remainder when k is divided by r.
38
What is the remainder when 150 is divided by (-18)/(-27)*(1 - 1/(10/(-1745)))?
33
Suppose -4*q = 2*f - 2610, -4*f = -8*q - 6467 + 1343. What is the remainder when f is divided by 42?
33
Suppose -4*c + 63 = -33. Suppose 207 - 207 = -5*z. Calculate the remainder when (z + -1)/((-24)/1704) is divided by c.
23
Let r = -45 + 54. Suppose r*k = -2*k. Suppose k = -3*o - 3*z + 39, 0*z + z + 20 = 2*o. What is the remainder when 40 is divided by o?
7
Suppose 2*d = 3*g + 12, -5*d - 2*g = -13 + 2. Suppose v = 2*f - 104, d*f = -v - 51 - 53. Let a = v + 112. What is the remainder when 44 is divided by a?
4
Let f(x) = -4*x + 57. Let q be f(-34). Let w = q + -154. Calculate the remainder when 49 is divided by w.
10
Suppose 2*k - 3 = -3. Suppose -5*q = p - 25 + 8, p + 2*q - 2 = k. Let t(o) = -31*o - 10. What is the remainder when t(p) is divided by 48?
46
Let b(w) be the first derivative of -w**4/4 + w**3/3 + 3*w**2 + 3*w + 6. Let r be b(4). Let h = r + 33. What is the remainder when 46 is divided by h?
10
Suppose 449540 = 130*k + 72*k + 292*k. Calculate the remainder when k is divided by 105.
70
Let i = 24128 + -23734. Calculate the remainder when i is divided by 112.
58
What is the remainder when 1143 is divided by ((-3912)/(-16))/(2 - 8/16)?
2
Let v(u) = 20 - 39*u**2 - 33*u**2 + u + 74*u**2 - 11*u. What is the remainder when 8 is divided by v(3)?
0
Suppose -103 = -2*b + 5*f + 120, -583 = -5*b + 4*f. What is the remainder when 184 is divided by b?
65
Calculate the remainder when 867 is divided by (17104/124 - -7) + 18/279.
142
Let a(j) be the second derivative of -4*j**3 + 31*j. Suppose -v + u + 13 = 0, 4*v = v - u + 55. Calculate the remainder when a(-2) is divided by v.
14
Suppose 4*j = 8*j - 684. Let r(b) = 14*b - 662. What is the remainder when j is divided by r(51)?
15
Let i = 1457 + -1425. Calculate the remainder when 475 is divided by i.
27
Let w = 5870 - 5785. What is the remainder when w is divided by 22?
19
Let f = -1269 + 1323. Suppose -4*j - 4*t = -3*t - 111, 5*j - 5*t = 145. Calculate the remainder when f is divided by j.
26
Let s = -1675 + 795. Let i = -821 - s. What is the remainder when 352 is divided by i?
57
Suppose -2*k = 17*k + 2*k - 1827. Calculate the remainder when 5563 is divided by k.
82
Suppose 97056*f = 97037*f + 64087. Calculate the remainder when f is divided by 225.
223
Let y(p) = 378*p**2 + 430*p + 1273. What is the remainder when y(-3) is divided by 3385?
0
Calculate the remainder when 1880*4/(-12)*855/(-228) is divided by 238.
208
Let p(z) = 3*z - 5. Suppose 46 + 18 = 4*f. Calculate the remainder when p(f) is divided by 31.
12
Suppose -2*t = -58*c + 60*c - 774, 402 = t + 4*c. Calculate the remainder when t is divided by 89.
26
Suppose -17*j + 354 = -14*j. Let g(b) = b**2 + 32*b - 165. What is the remainder when j is divided by g(5)?
18
Suppose 4*m + 2*h - 25430 = 0, m - h - 6353 = -0*h. Calculate the remainder when m is divided by 13.
12
Suppose 1 = -h - 4, 85 = -5*l - 2*h. Calculate the remainder when 70 is divided by 3/l + (-380)/(-25).
10
Suppose 4*r - z - 1030 = 5538, 0 = -3*r - 5*z + 4926. What is the remainder when r is divided by 137?
135
Let s be 0 + (-1 - 1) + -1 + 6. Suppose -s*w + 0*w - g = -59, 2*w + 3*g - 37 = 0. What is the remainder when w is divided by 7?
6
Suppose 21*b = 137 + 472. What is the remainder when 848 is divided by b?
7
Let y(t) = 29*t**2 - t + 2. Let j be y(-1). Let p = j - 26. Calculate the remainder when 49 is divided by 1 + -1 - (-20 + (p - 4)).
13
What is the remainder when 4/12 + (3 - (-400)/6) is 