pose 19*t - 21*t = n - 25, 0 = 5*n - 35. What is the remainder when 384 is divided by t?
6
Suppose 32 = 5*q - 158. Let a = -225 - -528. What is the remainder when a is divided by q?
37
Let q(y) = -38*y - 2900. What is the remainder when q(-89) is divided by 79?
8
Let f(c) = -7*c - 48. Let a(t) = -15*t - 95. Let u(b) = 6*a(b) - 13*f(b). What is the remainder when u(7) is divided by 9?
7
Let x be (726/5)/(6/20). Suppose 9*m = x + 38. Suppose 0 = -4*i + 933 - 21. Calculate the remainder when i is divided by m.
54
Let f = 443 - 351. Calculate the remainder when 345 is divided by f.
69
Let o(m) = -2*m**2 - 20*m. Let a = 564 + -533. What is the remainder when a is divided by o(-9)?
13
Suppose 0 = 17*c + 4*c - 21. Calculate the remainder when ((20/4)/(-5))/(c/(-165)) is divided by 14.
11
Suppose -3*n + 4*h + 9 = -6*n, 0 = -5*n + 5*h - 15. What is the remainder when 47 is divided by -1 + 8 - ((n - -1) + 2)?
5
Let a be (-1 - 5/10)*(-12)/6. Suppose 2*r - 2*w - 42 = 0, a*w = -r + 5*r - 83. Calculate the remainder when 40 is divided by r.
0
Let m = 174 + -172. Suppose -15 = -v - 3*i - m, i = -5*v + 23. What is the remainder when 77 is divided by v?
1
Suppose -335 = -30*i + 4*v + 149, 3*v = -3. Let h(s) = 5*s**3 + 5*s**2 - 3*s + 3. Calculate the remainder when h(3) is divided by i.
14
Let m(v) = 3*v + 78. Let a be m(11). Suppose 119 = h - 4*q - a, 0 = 3*q - 9. Calculate the remainder when h is divided by 27.
26
Let s = 4436 + -8180. What is the remainder when (-2)/(-4)*s/(-18) is divided by 53?
51
Suppose -38 = -5*o + 3*o. What is the remainder when o is divided by (-17 - -5)*(-8)/12?
3
What is the remainder when 856 is divided by (47 + -95)/(2*-1) + 9?
31
Let w(h) = 4*h**2 + 2*h - 1. Let l = -144 - -54. Calculate the remainder when (-17)/(-3*(-6)/l) is divided by w(-2).
8
Let m be (-2)/(-6)*-2 + 7866/54. Suppose 5*b - m = f, 54*f - 59*f = 5*b - 175. What is the remainder when ((-29)/(-2))/((-2)/(-8)) is divided by b?
28
Let j(w) = 6*w - 30. Let k = -44 + 58. Calculate the remainder when j(9) is divided by k.
10
Let t = -11572 + 11610. Calculate the remainder when t is divided by 22.
16
Let z be 842/4 + (189/14)/(-9). Let o be (-7 - -5)*z/(-2). Suppose 0 = -5*h + 3*x + 551, -2*h = -2*x - 3*x - o. Calculate the remainder when h is divided by 38.
36
Suppose 38*y + 13*y = y + 17200. What is the remainder when 677 is divided by y?
333
Let s = 1886 - 1743. What is the remainder when s is divided by 2 + 1 + 252/12?
23
Let p = 2148 + -1969. What is the remainder when p is divided by 13 + 2 - (2 - 2)?
14
Suppose t + 68 = 3*t. Let v = -15332 + 15426. What is the remainder when v is divided by t?
26
Suppose 4 = -3*s + 16. Suppose -s*p = -3*p - 27. What is the remainder when 34 is divided by p?
7
Suppose -a = -2*a + 3. Suppose -s + 19 = 3*s + a*j, -5 = -s - j. Suppose 33 - 6 = 3*k. Calculate the remainder when k is divided by s.
1
Calculate the remainder when -4*(-88765)/40 + 1/2 is divided by 111.
108
Let y(w) = w**3 + 3*w**2 + 4*w + 2. What is the remainder when y(5) is divided by ((180/(-63) + 3)/(-1))/(7/(-2793))?
51
Let p(q) = 2 + 5 - 37*q - 3 - 179*q**2 + 172*q**2. Calculate the remainder when 83 is divided by p(-5).
13
What is the remainder when 8056/40 + (-15)/(-30)*4/(-5) is divided by 157?
44
Suppose 57*j - 48*j - 86*j + 1232 = 0. Suppose -2*w - w = 5*s - 70, 5*w = -5*s + 110. What is the remainder when w is divided by j?
4
Let g(p) = 26*p + 184. Let s be g(-15). Let z = s - -363. What is the remainder when z is divided by 15?
7
Suppose -2*h - 8112 = -210*h. What is the remainder when 233 is divided by h?
38
Let z = 903 - 1514. Let q = z - -648. Calculate the remainder when q is divided by 23.
14
Suppose -4*r + 1419 = 411. Suppose r = -3*k + 10*k. Calculate the remainder when 42 is divided by (-3)/(k/(-172)) + 4/6.
12
Let j(q) = -q**2 - 9*q - 2. What is the remainder when 3/(-9 - (-19908)/2208) + 2 + 4 is divided by j(-6)?
14
Let z(d) = -d**2 + 6*d + 9. Let j be z(7). Let i = -568 + 573. Calculate the remainder when (17/j)/(4/8) is divided by i.
2
Suppose -3*g - 14*g + 43 = -g - 405. Suppose -388 = -4*o + 4*m - m, -4*m = 4*o - 388. What is the remainder when o is divided by g?
13
Suppose 218*a - 92 = 214*a. Suppose -3*b - 27 = -4*b - p, b = -3*p + a. Calculate the remainder when b is divided by 27.
2
What is the remainder when 11 - (-42 - 21) - -5 is divided by 10?
9
Let t = -1458 + 2895. What is the remainder when t is divided by 476?
9
Let c(g) = -g**3 - g**2 + 4*g + 4. Let s be c(3). Let m(i) = i**3 + 23*i**2 + 46*i + 15. Calculate the remainder when m(s) is divided by 23.
19
Let u = 171 + -174. Let z = 126 - u. Calculate the remainder when z is divided by 33.
30
Suppose -r = -q - 3*q - 42, -3*q + 187 = 5*r. Suppose p + 7*p - 160 = 0. Calculate the remainder when r is divided by p.
18
Let m(k) = -4*k**2 + 7*k + 203. What is the remainder when 8 is divided by m(8)?
2
Let a(z) = -z**2 - 45*z - 172. Suppose 2*u - 25 = 2*g + 9, 3*g = 2*u - 39. What is the remainder when a(-36) is divided by u?
8
Suppose -2*a + 24 - 8 = 0. What is the remainder when 89/((-2581)/145)*(0 - 21/5) is divided by a?
5
Let g = 250 - 248. Suppose 2*v = g*b - 270, 992 - 309 = 5*b - 3*v. Calculate the remainder when b is divided by 10.
9
Let h = 1096 + -886. Calculate the remainder when h is divided by 107.
103
Let w = 90 + -96. Let d(a) = -a - 2. Let s be d(w). Suppose -i = s*r - 33, -216 + 51 = -5*i + 3*r. Calculate the remainder when 164 is divided by i.
32
Let t(c) = -18*c**2 - 33*c + 4. Let r be t(-5). Let p = r - -309. Calculate the remainder when 110 is divided by p.
26
Let u = 440 - 423. Let o(g) = g**3 + 14*g**2 - 9*g + 4. Let c be o(-14). Suppose 2*j - c = 72. What is the remainder when j is divided by u?
16
Let o be (551 - 3)*7/7. Let c = 595 - o. What is the remainder when c is divided by 17?
13
Calculate the remainder when (9 - 186/18)/(-2 + (-178)/(-90)) is divided by 5.
0
Suppose -2*r = -5*n + 3*n + 40, 4*r = 8. What is the remainder when 1180 is divided by n?
14
What is the remainder when 2/(-5) + (-12012)/(-105) - 6 is divided by 4?
0
Let v = 1913 + -1585. Calculate the remainder when v is divided by 13.
3
Let m(a) = a**3 - 26*a**2 + 15*a - 390. Calculate the remainder when m(28) is divided by 18.
14
Suppose 0 = 4*f - 3*z - 320, -27*z + 28*z = 0. Calculate the remainder when 2079 is divided by f.
79
Calculate the remainder when (166314/4)/(10/((-540)/(-81))) is divided by 105.
104
Suppose -453*f = -445*f. Suppose f = -31*t + 6*t + 1625. Calculate the remainder when 252 is divided by t.
57
Let z = -24 + -22. Let t = -37 - z. Calculate the remainder when t is divided by 42/(0 - -6) - 1.
3
Let h(s) = s**3 - 38*s**2 + 67*s + 194. What is the remainder when 220 is divided by h(36)?
10
Let q(u) = 8*u**2 + 2808*u + 9*u**2 - 3005*u + 15. Calculate the remainder when q(12) is divided by 39.
21
Let j = 539 - 53. Suppose -7*v = -16*v + j. What is the remainder when 862 is divided by v?
52
Suppose 43 = 2*f + 11. Suppose a + 69 - 57 = 0. What is the remainder when 123/((a/2)/(-2)) is divided by f?
9
Suppose 1165 - 4378 = 21*o. Let v = 170 + o. What is the remainder when v is divided by 10?
7
Suppose 20242*p - 20291*p + 98 = 0. Let h = -76 - -133. Calculate the remainder when h is divided by p.
1
Let c(m) = -6*m**3 + 0 - 8 + 5*m**2 - 15*m + 7*m**3. Let a be c(-6). Let d = 87 - a. Calculate the remainder when 79 is divided by d.
38
Let l(i) = 7*i - 33. Let f be l(7). Calculate the remainder when (-56)/(-6 + f/4) is divided by 2/5 + 106/10.
6
Let s(u) = -u**3 + 57*u**2 + 116*u + 130. What is the remainder when 114 is divided by s(59)?
6
Suppose j = -4*q - 571, 106 = 2*q + j + 393. Let v = 159 + q. Let u(x) = x**3 + 4*x**2 + x + 4. Calculate the remainder when v is divided by u(-3).
7
Suppose 2*k + 15 = 10*m + 65, 5*k - 2*m = 125. Let v = 635 + -313. What is the remainder when v is divided by k?
22
Suppose -q - 2*n + 1 = 0, q - 6*q + 5 = -n. Let s be (6/q)/3 + 8. Suppose 40 - s = 2*l. Calculate the remainder when 42 is divided by l.
12
Suppose -5*w + 3*a = -52, -a - 4*a + 49 = 4*w. Suppose -w*u = -12*u. What is the remainder when (-128)/(-24) - (4/(-6) + u) is divided by 6?
0
Let c(k) = -7*k - 4*k + 20*k - 10*k + 49. What is the remainder when c(17) is divided by 17?
15
Suppose 0 