
13
Suppose 2*u - 19*a + 26*a - 169 = 0, 0 = -5*u - 4*a + 409. What is the remainder when (-16)/(-2 + (-38)/(-20)) is divided by u?
79
Let b = -131 - -158. Let h = 59 + -53. Suppose 0 = -h*n - 7 + 55. Calculate the remainder when b is divided by n.
3
Let i be 1936/6 - (-8)/(-12). Let b = i + -259. What is the remainder when 185 is divided by b?
59
Let z(l) = l + l + 5 - 1 - 5. Let r be z(2). Suppose -r*h + 4 = -8. What is the remainder when 6 is divided by h?
2
Let x = -183 - -203. Suppose -22*m + x*m + 118 = 0. Suppose u + 4*u = 150. What is the remainder when m is divided by u?
29
Suppose 2*z = 3*y - 112, 0 = -4*y - 5*z + 885 - 728. Calculate the remainder when (-1)/5 - (-356)/5 is divided by y.
33
Suppose -2 = 2*i - 10. Suppose 5*f = 4*f - 2*z + 59, 4*z - 244 = -i*f. Suppose 1241 = -36*d + 109*d. What is the remainder when f is divided by d?
12
Suppose 110*p = 1168 + 83092. What is the remainder when p is divided by 154?
150
Suppose 0 = -2*u + 2, -5*x - 5*u = -0*u. Let z be (x + 2/8)*48 + 3. Let i = -27 - z. What is the remainder when i is divided by 2?
0
Let v = -559 - -557. Let y(x) = -5*x**3 - 2*x**2 - 2*x. What is the remainder when y(v) is divided by 14?
8
Let c(m) = 4*m**3 + 2*m**2 - 4*m - 11. Let i be c(-3). Let f = i + 226. Calculate the remainder when f is divided by 14.
11
Suppose 593*z - 598*z + 488 = t, -3*t = -2*z + 202. What is the remainder when 1405 is divided by z?
33
Let c(l) = 4*l**3 + 4*l - 38. What is the remainder when 3853 is divided by c(3)?
81
Calculate the remainder when 160 is divided by 18/(4/(-46) - (-37)/((-851)/(-48))).
7
Suppose -10 = -0*k - 5*k. Calculate the remainder when k is divided by 112/84*(-9)/(-6).
0
Let q(f) = -28*f**3 + f**2 - 2*f - 2. Let p = -1416 + 1618. Calculate the remainder when p is divided by q(-1).
28
Let q = 955 + -947. Calculate the remainder when 332 is divided by q.
4
Let q(d) = d**2 + 2*d + 6. Let m(l) = -l**2 - 5*l - 6. Let i be m(-5). What is the remainder when q(i) is divided by ((-2)/(-4))/(162/32 - 5*1)?
6
Let o be -5 + 11 + -5 + 449. Let p = o - 421. Suppose -18 = -3*g + 6. What is the remainder when p is divided by g?
5
Suppose -8*i - 120 = 80. Let p(q) = q**2 + 33*q + 206. Let r = 3 + -2. Calculate the remainder when p(i) is divided by r.
0
Suppose -10*l - 10 = -15*l. What is the remainder when (252 + 1)*(1 + 0/l) is divided by 51?
49
Let f be 608/(-2)*(-3 - (-5)/2). Let r be (5 + f/(-24))*(-1 + -143). Suppose -10*k = 2*k - r. Calculate the remainder when k is divided by 9.
7
Calculate the remainder when (1/(-2)*1)/((2415/(-7420))/69) is divided by 9.
7
Let i(c) = 2*c**3 - 5*c**2 + 3*c - 3. Let a(p) = -p**3 - 5*p**2 + 7*p + 9. Let f be a(-6). Let w = 127 - 123. Calculate the remainder when i(f) is divided by w.
3
Let r be (-28)/(-3) + (-1)/3. Suppose r*p = 14*p + 2*j, -j = p + 3. Suppose 4*u = -3*a + 20 + 11, 3*u - 2*a = 36. What is the remainder when u is divided by p?
0
Suppose -5*g + y + 30 = 0, -2*y = -4*g - g + 35. Suppose 3*v + 80 = -g*k - 0*k, -4*v - 2*k = 130. Let x = 49 + v. What is the remainder when x is divided by 10?
4
Suppose 2*q - 13 = 15. Suppose -4 - 9 = 3*t + a, -t - 15 = 3*a. What is the remainder when q is divided by (-4)/6*t + 4?
2
Let g(s) = 477*s + 4141. What is the remainder when g(-7) is divided by 136?
122
Let c(l) = 8*l - 5. Suppose 21*f = f + 220. Calculate the remainder when c(f) is divided by 8.
3
Let f = -5 + 8. Let j = 187 - -25. Suppose f*y - 136 = j. Calculate the remainder when y is divided by 17.
14
What is the remainder when (-203778)/(-18) + 14 - 10/(-2) is divided by 199?
196
Calculate the remainder when 15 + (-12016)/(-80)*10 is divided by 31.
29
Suppose 0 = -4*g - 2*r + 1178, -4*g + 35*r - 33*r = -1206. What is the remainder when 1530 is divided by g?
40
Let a(d) = -2*d**3 + 12*d**2 - 144*d + 688. Calculate the remainder when 36 is divided by a(5).
0
Let z = 76 - 15. Suppose -4*t + t + 21 = 0. Suppose -117 = -t*n - 5. Calculate the remainder when z is divided by n.
13
Suppose -21 = -7*r + 63. Calculate the remainder when 57 is divided by (3 + 6/r)*(-50)/(-35).
2
Suppose 3*i - 2*w - 123 = 0, 1056*i + 83 = 1058*i - w. Calculate the remainder when i is divided by (-12 + (0 - -1))*-1.
10
Suppose 3*u - 21 = j, -2*j = -3*u + 1 + 17. Let b = 29 - 22. Calculate the remainder when (3 + u)/(5 + -2 - 2) is divided by b.
4
Let a(u) = -u**3 + 20*u**2 + 42*u + 48. Let c be a(22). Suppose 6*q - c*q = 6, f - 4*q - 8 = 0. What is the remainder when 136 is divided by f?
16
Suppose -12*m = -682 + 370. What is the remainder when 3534 is divided by m?
24
Suppose -3*y + 4*a - 1213 = 2*y, 5*y + 1222 = a. Let s = 424 + y. What is the remainder when s is divided by -65*(18/(-15))/3?
23
Suppose 5*x = 430 - 1130. Let p = x + 378. What is the remainder when p is divided by 80?
78
Suppose -2*w = -17*r + 76, 3*w - 12 - 51 = -4*r. Suppose -j - 2*u = -123, j + u + 0*u = 119. Calculate the remainder when j is divided by w.
11
Let z(l) = 3*l**2 - 8*l + 13. Let i be z(2). Suppose 0*c = -i*c + 108. Calculate the remainder when 177 is divided by c.
9
Suppose 0 = -132*v + 74*v + 33466. What is the remainder when v is divided by 27?
10
Suppose -10*r = 3*v - 5*r - 278, 4*v + 3*r - 378 = 0. Calculate the remainder when v is divided by 27.
15
Suppose 54*y - 2252 = -66*y + 508. Let d = 547 + -367. What is the remainder when d is divided by y?
19
Suppose -346*t + 351*t - 443 = 3*c, 5*t - 401 = -4*c. Let r = 8 - -16. Calculate the remainder when t is divided by r.
13
Suppose 0 = 2*h + 4*w - 50, -2*h = -0*h + w - 65. Suppose 3*d - 956 + 1098 = 2*p, -4*d = p - 71. Calculate the remainder when p is divided by h.
1
Suppose -3*v + 5*g = -170, -19*v = -24*v + 2*g + 277. What is the remainder when 98 is divided by v?
43
Suppose 2*d + 7 = -1, -3*n = 3*d + 9. Let h be (-2)/n + -1 - (-6 - 1). Suppose s = g - 2*g + 5, -s = h*g - 14. Calculate the remainder when 4 is divided by g.
1
Let k = 23822 + -23802. Suppose -841 = -4*h - 133. Calculate the remainder when h is divided by k.
17
Suppose -7*w = 160 - 482. Let t(u) = u**3 - u - 3. Let s be t(-3). Let z = s + 39. What is the remainder when w is divided by z?
10
Let j = 43 - -8011. What is the remainder when j is divided by 38?
36
Let s(m) be the first derivative of -m**4/4 - 4*m**3/3 + 114*m - 37. What is the remainder when s(0) is divided by (1 - 2) + 14/1?
10
Suppose -224*t + 174*t + 1550 = 0. What is the remainder when 1104 is divided by t?
19
Let c = 175 - 173. Suppose -z + c*g + 24 = 0, 3*g = 4*z - 45 - 41. Calculate the remainder when 159 is divided by z.
19
Suppose 9*n + 3*n = 2400. Suppose 73*r - 77*r + n = 0. What is the remainder when r is divided by 17?
16
Suppose 5*u = d + 9, -3*d - 5*u - 8 + 1 = 0. Calculate the remainder when (-34)/d - (-1)/2 is divided by 4.
1
Let f = 18521 + -16016. Calculate the remainder when f is divided by 28.
13
Suppose -94 + 159 = 5*i. Suppose 3*z + 6 = -6, 5*z - 55 = 5*l. Let w = -7 - l. Calculate the remainder when i is divided by w.
5
Let a(o) = -o - 14. Let l be a(-14). Let h(q) = q + 24. Suppose -n - n = 2*x - 158, 2*n = 2*x + 166. Calculate the remainder when n is divided by h(l).
9
Let j = -57 + 57. Let f be 1 - j - (-22 + -3 - -1). Suppose y - 78 = -f. What is the remainder when y is divided by 32?
21
Suppose 14*h + 393 = 19*h - 4*p, -h + 87 = -5*p. Let b = 580 + -348. Suppose 72 - b = -4*t. Calculate the remainder when h is divided by t.
37
Let v = -16 + 34. Let s be 3*(-9)/(-6) + (-9)/v. Suppose -3*r + 4*r + j = s, -8 = -r - 5*j. Calculate the remainder when 31 is divided by r.
1
Suppose d - 244 = i - 1, 734 = 3*d + 2*i. What is the remainder when 761 is divided by d?
29
Suppose 0 = 2*c - 0*c - 74. Suppose 2*b + 7 = 17, 268 = -3*s - 4*b. What is the remainder when ((-18)/(-4))/(((-18)/s)/3) is divided by c?
35
Suppose 36 = 162*a - 153*a. Suppose 9 + 67 = a*f. Calculate the remainder when 435 is divided by f.
17
Suppose 25*i - 2514 - 6682 = -13*i. What is the remainder when i is divided by 49?
46
Let p(i) = -178*i + 349*i - 9 - 177*i. Calculate the remainder when 89 is divided by p(-3).
8
Suppose -60*y - 26931 = -201*y. Calculate the remainder when 3421 is divided by y.
174
Let s = 2829 - 2813. Calculate the remainder when 91 is divided by s.
11
Suppose 7*d + 3510 = 3706. Calculate the r