s + 5*x = 221, 3*s + 3*x - h = 303. Calculate the remainder when 323 is divided by s.
107
Let r(d) = -2*d**3 - 21*d**2 - 30*d - 26. Let x be r(-9). Calculate the remainder when 8/(-28) + x/((-35)/(-1060)) is divided by 27.
3
Suppose 5*o - 1097 = -4*a + 4*o, -2*a + 4*o + 562 = 0. Suppose -12*p - a + 659 = 0. What is the remainder when 6/(-21) + 858/14 is divided by p?
29
What is the remainder when 281 is divided by 104/364 - (-495)/7?
68
Let x(r) = r**2 + 10. Let m be (40/(-15))/(-3 - (-345)/117). Suppose 0 = 6*y - 362 - m. Calculate the remainder when y is divided by x(0).
9
Let m(l) = -3*l**2 + 94*l - 30. What is the remainder when m(5) is divided by 45?
5
Suppose 0 = 5*h - 29 + 14. Suppose 3*t = 4*t - h*t. Suppose 4*d - 5*k - 47 - 135 = t, -2*d = 4*k - 104. What is the remainder when d is divided by 14?
6
Suppose 3*b = 2*b + 60. What is the remainder when 8/b + (-1663)/(-15) is divided by 14?
13
Calculate the remainder when (((-24)/9)/1 - 0)/((-19)/1083) is divided by 32.
24
Let v be 6/((-9)/(-6) - 0). Suppose 4*r + 278 = j, -v*r = -j - 4*j + 270. Calculate the remainder when 114 is divided by (-2)/6 - r/6*2.
22
Suppose -1068 - 858 = -111*y - 372. Calculate the remainder when 374 is divided by y.
10
Let s = -211 - -223. What is the remainder when (s - (-12)/(-6))*(-114)/(-15) is divided by 7?
6
Suppose 5*p + 6 - 6 = 0. Suppose 13*s - 359 + 21 = p. What is the remainder when s is divided by 16?
10
Suppose -y + 115 = 4*y - m, -115 = -5*y + 2*m. Calculate the remainder when 5840 is divided by y.
21
Let p = -32144 + 32169. What is the remainder when 1484 is divided by p?
9
Calculate the remainder when (708/295)/(15/25750) is divided by 172.
164
Let t = 7717 - 7673. Calculate the remainder when 820 is divided by t.
28
Suppose -3*o = -5*p - 364, -5*o = 2*p - 530 - 87. Calculate the remainder when 973 is divided by o.
112
Let n = 709 + -248. What is the remainder when n is divided by 220?
21
Suppose -53 - 143 = -x. Suppose 13*l - 38 = x. What is the remainder when 44 is divided by l?
8
Let n = 3164 + -3001. Calculate the remainder when 6516 is divided by n.
159
Let d = 96 + -20. Suppose 4*g - d = -24. Suppose g = q + 5*p, 5*q + 0*p = 4*p + 94. Calculate the remainder when q is divided by 7.
4
Suppose 5*k = 4*y + 1149, -3*k = -10*y + 12*y - 663. Calculate the remainder when k is divided by 13.
4
Suppose w + w - 192 = -4*p, -194 = -4*p - w. Let n(j) = -j**3 - 2*j**2 - 5*j + 14. Calculate the remainder when n(-8) is divided by p.
46
Let h(c) = -c**3 + 19*c**2 - 19*c + 21. Let b = 36 + -33. Let x be (-12)/(b/(-1)) - -14. Calculate the remainder when 6 is divided by h(x).
0
Let h(q) = 99*q**2 + 102*q - 523. Calculate the remainder when h(4) is divided by 1459.
10
Let b(j) be the first derivative of -j**2/2 - 38*j + 3. Let z be b(17). What is the remainder when 54 is divided by 22/z - (-72)/5?
12
Let q(p) = p**2 - 71*p + 13. What is the remainder when 83 is divided by q(0)?
5
Let j = -10 + 187. Suppose 4*h - l - 2*l - 30 = 0, -5*l = 5*h - 20. Suppose y - 39 = h. Calculate the remainder when j is divided by y.
42
Suppose 3*i - 4*v - 85 = 0, 4*v = -10 - 6. Calculate the remainder when i is divided by 32 + -5*(-18 + 20).
1
Let r(c) = -c**3 + 10*c**2 - c + 19. Let b be r(10). Suppose -x - 180 = b*x. Calculate the remainder when (-1704)/x*12/8 is divided by 29.
26
Suppose 120 = 4*m - u, 171 = 4*m + 2*u + 51. Suppose 0 = -0*t - t + 5*q + 72, q + 60 = t. What is the remainder when t is divided by m?
27
Let m = 128 + -350. Calculate the remainder when 1/(m/56 + 4) is divided by 13.
2
Suppose 3*d - 5*t + 7 = 0, -4*d = -9*d - t + 35. What is the remainder when (8/d)/(-4 - (-1385)/345) is divided by 12?
8
Suppose 58*b = -1792 + 14320. Suppose 9*c - 9 = b. Calculate the remainder when 97 is divided by c.
22
Let j(l) = -48*l - 30. Suppose -k = -5*r + 24 - 8, -3*k - 2*r + 3 = 0. Calculate the remainder when 85 is divided by j(k).
13
Let r = -93078 + 93088. Let x be 21/(-2)*8/(-6). Suppose -f = 2*j + j - x, -42 = -3*f + 4*j. Calculate the remainder when f is divided by r.
4
Let g(r) = 5*r**2 - 43*r - 52. What is the remainder when g(12) is divided by 35?
12
Suppose -70*z + 51*z = -1957. Calculate the remainder when z - 0 - (0 - (4 + 0)) is divided by 18.
17
Let f = 6177 - 6088. What is the remainder when f is divided by 18?
17
Let k(b) = b**3 + 17*b**2 + b + 37. Suppose -5*o = -5*x - 75, -2*o - 27 = x + 3*o. Calculate the remainder when 72 is divided by k(x).
12
Let s(o) = 3*o**3 - 24*o + 44. What is the remainder when 153 is divided by s(2)?
13
Let j = -35153 + 36024. What is the remainder when j is divided by 182?
143
Suppose 2*y = 0, 5*u - 60 = -320*y + 323*y. What is the remainder when 470 is divided by u?
2
Let q(i) = 6*i + 18*i - 3*i**2 + 3 + 5 + 0*i**2. What is the remainder when 23 is divided by q(8)?
7
Let c(p) = -3*p - 8. Let q(b) = -4*b - 9. Let x be q(3). Let g = x - -16. What is the remainder when 19 is divided by c(g)?
5
Let j = -1679 + 2700. Let y = -2167 - -2183. What is the remainder when j is divided by y?
13
Suppose 120 = 2*p + 10*p. Suppose -p*h = -15*h + 40. What is the remainder when 39 is divided by h?
7
Suppose 1138 = 39*j + 865. What is the remainder when 118 is divided by j?
6
Let z = -6740 + 6958. Calculate the remainder when 662 is divided by z.
8
Suppose -3*c + 40*i = 36*i - 308, 2*c + 3*i - 245 = 0. Calculate the remainder when 325 is divided by c.
101
Let w(q) be the third derivative of q**5/2 - q**4/24 - q**3/3 + 31*q**2 - 2*q. Calculate the remainder when 288 is divided by w(-1).
27
Calculate the remainder when ((-4)/(-8))/(1/(-4)) - 7872/(-3) is divided by 4.
2
Let g(j) = 75*j + 85. Let m be g(2). Suppose 0 = 2*q - q - 2. Suppose 4*u - 188 = q*r - r, -2*r = -5*u + m. Calculate the remainder when u is divided by 4.
3
Suppose u - 578 = 2*d - 543, 4*u + 2*d = 40. Calculate the remainder when 106/(-8)*-2*2 is divided by u.
8
Let x(v) = v**2 - 4*v - 6. Let a = 5456 + -5342. Calculate the remainder when a is divided by x(7).
9
Let l(f) = 97*f**3 - 22*f**2 + 39*f - 2. Suppose 0 = 14*w - 9*w - 45. What is the remainder when l(2) is divided by w?
8
Suppose 2 + 13 = p - s, -s + 40 = 4*p. What is the remainder when 547 is divided by p?
8
Let b(g) = -2*g**3 + 5*g**2 + g + 11. Let q be 34/10 - 10/25. What is the remainder when 16/(-3)*(-45)/12 is divided by b(q)?
0
Let g(s) = -s**3 + 4*s**2 - 8*s - 16. Let d(n) = -n**3 + 10*n**2 + 20*n - 2. What is the remainder when d(10) is divided by g(-2)?
6
Let i(n) = 28*n + 98. Let t(q) = 15*q + 49. Let g(b) = 6*i(b) - 11*t(b). What is the remainder when -3 + 42 - -3*-1*1 is divided by g(-12)?
10
Let f = -287 + 289. Suppose -f*a - 355 + 377 = 0. Suppose 2*b - 134 = -2*c, -3*b - 122 = -3*c + 55. What is the remainder when c is divided by a?
8
Let g(x) = x + 6. Let r be g(6). Let t = r - 10. Suppose v + t = 6, v = 4*j - 456. Calculate the remainder when j is divided by 29.
28
Let q = 532 - 364. Calculate the remainder when 1358 is divided by q.
14
Let r(k) be the second derivative of 11*k**5/10 - k**3/3 - 5*k**2/2 + 67*k. Calculate the remainder when r(2) is divided by 12.
11
Let q(k) = -25*k + 206. Let s(x) = -x**2 + x - 1. Let a(v) = q(v) - s(v). Calculate the remainder when 279 is divided by a(19).
57
Suppose -2*r = -41 - 75. Suppose 25 = 3*f + 5*l, 2*f = 5*l - 5 + 55. What is the remainder when r is divided by f?
13
Let r(a) = -175*a + 76. What is the remainder when r(-6) is divided by 3?
1
Let z(w) = -98 + 7*w - 78 + 116. Calculate the remainder when 134 is divided by z(15).
44
Suppose 4537 = 13*s + 533. Suppose s - 92 = 9*v. What is the remainder when 165 is divided by v?
21
Suppose -5*y = 6*p - 3*p - 137, -y = 3*p - 145. Calculate the remainder when (-33)/(-22) + (-939)/(-6) is divided by p.
11
Calculate the remainder when (273/28)/(117/2964) is divided by 46.
17
Suppose 530 - 316 = 2*f. What is the remainder when f is divided by 2/4 - 62/(-4)?
11
Let o = 1088 + -4. Suppose -m + 799 = 2*m + 4*v, 4*v + o = 4*m. What is the remainder when m is divided by 54?
53
Calculate the remainder when 599 is divided by ((-138)/(-4))/((-2)/14*(-154)/44).
47
Let c(z) = -6*z**3 + 6*z - 9. Let o(w) = -5*w**3 + w**2 + 5*w - 8. Let q(b) = -4*c(b) + 5*o(b). Calculate the remainder when 56 is divided by q(2).
6
Suppose -