196. Calculate the remainder when s(7) is divided by 250.
3
Suppose -2*d + 4*d - 60 = 0. Let r = 55 - d. Suppose 28*a - 23*a - 17 = -3*f, -a = 2*f - 9. Calculate the remainder when r is divided by f.
1
Let k(f) = -2*f + 1. Let c(w) = w**3 - 8*w**2 - 2. Let z be c(8). Let s be k(z). Let h(i) = -i + 13. What is the remainder when 31 is divided by h(s)?
7
Let z(h) = h**2 + 62*h + 384. Calculate the remainder when 4028 is divided by z(-6).
44
Suppose -5*x - 50*s + 165 = -55*s, 127 = 4*x - 3*s. What is the remainder when x is divided by 6?
4
Suppose -169*w - 132*w + 37324 = 0. Calculate the remainder when 1114 is divided by w.
122
Suppose -26 + 18 = 4*i, -5*f = -3*i - 4051. Calculate the remainder when f is divided by 162.
161
Suppose -1442 = -3451*c + 3437*c. What is the remainder when c is divided by 11?
4
Calculate the remainder when (-5)/(10/(-4))*29 is divided by 44.
14
Suppose 114*d - 138976 = 28*d. Let j = d + -1580. Let w = 3 + 174. Calculate the remainder when w is divided by j.
33
Suppose 0 = -26*a - 21 + 73. Suppose -23*f - a*f + 800 = 0. What is the remainder when 285 is divided by f?
29
Let a = -27 + 78. Suppose 0 = 4*x + 2*m + 320, 422 = -8*x + 3*x + 3*m. Let y = 19 - x. What is the remainder when y is divided by a?
50
Let t = 8882 + -8599. What is the remainder when t is divided by 249?
34
Suppose -i - 10 = -5*c, 5*c - 4*i = -5*i + 10. Suppose c*p - 16*p = -210. What is the remainder when 26 is divided by p?
11
Let y = -65 + 65. Suppose y = -4*u + 2*l + 129 - 13, 2*u - 34 = -5*l. Suppose 29*k - 10 = u*k. What is the remainder when 17 is divided by k?
2
Let c = -15654 - -16081. Calculate the remainder when c is divided by 72.
67
Let r(u) = u**3 - 21*u**2 - 41*u + 45. Let b be r(23). Suppose -171 = b*f - 169*f. Calculate the remainder when 52 is divided by f.
14
Let v be ((-1415)/15)/((-3)/(3 + 6)). Let k = 310 - v. Suppose 208 + 206 = 3*a - 5*x, -2*a = 3*x - 257. Calculate the remainder when a is divided by k.
25
What is the remainder when 1786 is divided by (126/70*-23)/(3/(-10) + 0)?
130
Let x(y) = -74*y - 92. Let p be x(-13). Suppose -6*w - 4*w = -p. Calculate the remainder when w is divided by 38.
11
Let a = -9119 + 9202. What is the remainder when 589 is divided by a?
8
Suppose 14860 = 5*d + 2*j, -4*d + 4*j + 5480 = -6380. What is the remainder when d is divided by 739?
14
What is the remainder when (2232/(-42))/(2/14*-1) is divided by 43?
28
Suppose 38*a = 37*a + 544. Let d = a - 493. Suppose 2*k - 7 - 19 = 0. What is the remainder when d is divided by k?
12
Let m = -20175 + 31048. What is the remainder when m is divided by 125?
123
Suppose -45*s + 1136 = -1926 - 1483. Calculate the remainder when s is divided by 41.
19
Let l(q) = 2*q**2 + 2*q + 49. Let d be l(0). Let i = 41 - d. Let s(p) = -p**3 - 8*p**2 - 3*p - 1. What is the remainder when s(i) is divided by 8?
7
Let z = -236 + 414. What is the remainder when 173 is divided by (-1)/4 + z/8?
19
Suppose 83 = 6*o - 271. Calculate the remainder when o is divided by (1/(-3))/(4/(-180)).
14
Calculate the remainder when 465 is divided by (-703)/(-6) - (-75)/90.
111
Suppose 65*t - 291*t + 9695 = -10419. Calculate the remainder when 642 is divided by t.
19
Let u = -5768 - -6431. Calculate the remainder when u is divided by 63.
33
What is the remainder when 540 is divided by 1 - -209 - (280/(-105))/(6/9)?
112
Let g = -1456 + 1678. Calculate the remainder when g is divided by 7.
5
Let p(j) = 3*j**2 - 61*j - 32. Let d be p(21). Let m = d - -1. What is the remainder when 184 is divided by m?
8
Let t(y) = -2*y + 17. Suppose 36 = 4*l + 4*n, 4*l + 5*n - 29 = 3*l. Suppose 2*c + 12 = l. Calculate the remainder when t(c) is divided by 16.
9
Let v be (-2004)/8*(-10)/(-15). Let m = v + 191. What is the remainder when (3 + 149/(-2))*-2 is divided by m?
23
Let g(k) = 5*k**2 - 17*k - 99. Calculate the remainder when 1122 is divided by g(-4).
44
Suppose 0*u = 3*u - l - 11, 5*u + l - 5 = 0. Suppose -3*v - 9 = 2*f, -u*f - 2*f - 5*v - 13 = 0. Calculate the remainder when (14/6)/(1/f) is divided by 6.
1
Calculate the remainder when (10 - -2519)*(-9 - (-6 + -4)) is divided by 5.
4
Suppose 25 = 71*h - 66*h. What is the remainder when 79 is divided by (1/h)/(21/945)?
7
Suppose -74 = -17*f + 96. Suppose -86 = -f*v + 34. What is the remainder when 107 is divided by v?
11
Suppose -2242 + 99 = -13*k - 167. Calculate the remainder when k is divided by 26.
22
Suppose 0 = 5*j - j + 3624. Calculate the remainder when 47 is divided by 10/65 - j/26.
12
Let r(m) = -m**2 + 16. Let b be 0/((-2 - -1) + 2). Suppose -2*l + 78 = -4*d, -5*l + d = -32 - 172. Calculate the remainder when l is divided by r(b).
9
Suppose -4*x - 65 = n, 0*x + 11 = -x - 2*n. Let v = -228 + 319. Let z = v + x. Calculate the remainder when z is divided by 19.
17
Let m(v) = v**3 - 21*v**2 + 45*v - 3. Calculate the remainder when 906 is divided by m(19).
126
Let s = 44 - 43. Suppose 2*y = -4*h + 26, -y - s = 4*h - 24. Suppose -m + 2 + 17 = 0. Calculate the remainder when m is divided by h.
4
Suppose q - 490 = -3*l - 0*q, -635 = -4*l - 5*q. Suppose -1217*m + 1215*m = -88. What is the remainder when l is divided by m?
33
Let w(v) = v**3 - 7*v**2 + 7*v + 13. Let n be w(5). What is the remainder when ((-3)/(-2))/(2*n/(-328)) is divided by (-1100)/(-35) - (-6)/(-14)?
30
Suppose 50796 = 380*t - 176*t. What is the remainder when t is divided by 43?
34
Let k = 15390 - 13256. Calculate the remainder when k is divided by 29.
17
Let o(k) = k**3 - 4*k**2 - 27. Let g be o(5). Calculate the remainder when -31 + 70 + g/(-2) is divided by 1.
0
Let i = -152 - -163. Suppose i*m = -m + 396. Calculate the remainder when 59 is divided by m.
26
Suppose 10*z - 2427 = -367. What is the remainder when z is divided by 48?
14
Let q(y) = -y**3 + 7*y**2 + 7*y - 2. Suppose -4*f - 1024 = -2*l, f + 5*l + 254 + 24 = 0. Let z = 268 + f. What is the remainder when q(7) is divided by z?
7
Let w be 3/(15/5) - -2. Let a(z) = -5*z**2 + z**w - 22*z + 15*z + 7 + 9*z. Calculate the remainder when 66 is divided by a(5).
15
Suppose -124*n + 17778 = -9254. What is the remainder when 4790 is divided by n?
212
Suppose 0 = 4*v - 0*v - 24. Let i = v - -6. Calculate the remainder when 41 is divided by 5 - (i/18)/(2/(-3)).
5
Let s = 270 - 514. Let o = -190 - s. What is the remainder when 268 is divided by o?
52
Let l = 28 - -3. Let b = 19 + 1233. Suppose -12*p + 140 = -b. Calculate the remainder when p is divided by l.
23
Suppose 7 = -j + 6, -5*n = 11*j - 109. Calculate the remainder when 796 is divided by n.
4
Suppose 10*t = -3*z + 8*t + 1252, 1244 = 3*z + 4*t. What is the remainder when z is divided by 76?
40
Suppose -5*l + 9 = -4*h, -4*h - 4*l - 12 = 24. Let v(f) = -13*f - 50. What is the remainder when 87 is divided by v(h)?
3
Let m(d) = -d**3 - 51*d**2 - 55*d + 26. What is the remainder when m(-50) is divided by 73?
57
Let t be 44/7 - 4/14. Suppose 2*x - 30 = 2*o - t*o, -4*x - 3*o + 75 = 0. What is the remainder when 3/6 + 126/4 is divided by x?
11
Let l = 32 - 17. Suppose 7*s - 2144 - 719 = 0. Suppose 9*c + 31 = s. Calculate the remainder when c is divided by l.
12
Let p = 17 - -26. Let g = p - 11. Calculate the remainder when g is divided by 13.
6
Let n(o) = -32*o - 165 - 64*o + 79*o. What is the remainder when 54/(-8)*(-16)/6 is divided by n(-10)?
3
Let c = -83 + 184. Suppose 3*k + 48 = 3*d, 61*k = -3*d + 56*k - 8. Calculate the remainder when c/3 - 2/3 is divided by d.
6
Let t(j) = 29*j + 188. Calculate the remainder when 205 is divided by t(-3).
3
Let y be 4/(-5) + 8/10. Suppose -5*z + y*z = -15. Suppose 3*c + 6 = 0, -z*c - c - 176 = -4*j. Calculate the remainder when 250 is divided by j.
40
Suppose 0 = -3*k + 2*q - 14, q - 2*q = 2*k + 14. Let a be k/(-24) - 22/(-8). Suppose p - a*p = -88. What is the remainder when p is divided by 15?
14
Let a(k) = k**3 + 11*k**2 + 9*k + 14. Let j be a(-10). Let r = 49 - j. Calculate the remainder when r is divided by (-41)/82*(-60)/2.
10
Suppose 4*o + 336 = 2*i - 146, 4*i - 946 = 2*o. What is the remainder when i is divided by 14?
11
Let m = 2267 - 2254. What is the remainder when 671 is divided by m?
8
Let i = 146 - 130. Suppose 19*y + 126 = 22*y. Suppose -17 - y = -o. What is the remainder when o is divided by i?
11
What is the remainder when ((-986