4 = -t*x. Calculate the remainder when x is divided by 20.
17
Let o(m) = -2*m**2 + 45*m - 89. Let a be o(18). Suppose -a = -3*k + 11. Calculate the remainder when k is divided by 16.
12
Let w = 2887 - 2828. What is the remainder when 548 is divided by w?
17
Let h(u) = 131*u - 2733. What is the remainder when h(24) is divided by 42?
33
Suppose 853 - 118 = 20*y + y. What is the remainder when y is divided by 28?
7
Suppose -33*u - 120 = -38*u. Suppose -3*l - 3*a = -51, -4*l + 3*a = -9*l + 85. Calculate the remainder when l is divided by 15 - (-11)/((-44)/u).
8
Let u = -163 + 191. Let k = u + -4. What is the remainder when k is divided by 16?
8
Let u = -148 + 153. Suppose 0*p + 245 = u*p. Calculate the remainder when 141 is divided by p.
43
Suppose 5*t + 15 + 5 = 0. Let p be t/(-22) - 150/(-22). Suppose 3*u - 5 = p. What is the remainder when 9 is divided by u?
1
Suppose 48750 + 73030 + 21192 = 31*o. What is the remainder when o is divided by 115?
12
Let i(x) = 1181*x + 14263. Calculate the remainder when i(-11) is divided by 632.
8
Let z(b) = 152*b**2 - 2*b - 9. Let t be z(-3). Suppose -4*q = -5*q - t. What is the remainder when 4*(q/(-20))/7 is divided by 10?
9
Let c = 78718 + -46762. Calculate the remainder when c is divided by 159.
156
Suppose 0*m - 5*y - 6 = -2*m, 4*m - 5*y - 22 = 0. Suppose 132 = m*j + 20. What is the remainder when j is divided by 3?
2
Let o(t) be the third derivative of -13*t**4/24 - t**3/6 + 47*t**2. Calculate the remainder when o(-1) is divided by 7.
5
Suppose i = 4*i - 780. Suppose -4*o + 5*g + 135 + 87 = 0, 3*g = -5*o + 111. What is the remainder when i is divided by o?
29
Suppose g = -3, -127*t + 130*t - 396 = -5*g. Calculate the remainder when 1779 is divided by t.
135
Suppose 16*x = -11*x - 162. Calculate the remainder when 16 is divided by (x/(-5))/((-15)/(-125)).
6
Suppose -1700*b + 3*y + 1569 = -1697*b, -3*y + 15 = 0. What is the remainder when 1601 is divided by b?
17
Let r(l) = 261*l + 578. Let d be r(-2). Let u be 87/3 - 0/(-2). Suppose u*k + d = 33*k. What is the remainder when 52 is divided by k?
10
Let f(k) = k**3 - 16*k**2 + 15*k + 10. Let x(d) = d**2 + 4*d + 3. Let p be x(-6). What is the remainder when ((-57)/19)/((-2)/12) is divided by f(p)?
8
Suppose 4*d + 2*y - 5*y = 4542, 5*d + 4*y - 5724 = 0. Calculate the remainder when d is divided by 164.
156
Suppose 201*o - 203*o - u = -155, 4 = -4*u. What is the remainder when o is divided by 202/5 - (-8)/(-20)?
38
Suppose 0 = 6*x + 250 + 74. Let b = x + 58. Calculate the remainder when 4 is divided by 9/1*(33/(-9) + b).
1
Suppose -18*q + 85 = -17*q. What is the remainder when 388 is divided by q?
48
Let o be (3/9)/(2/258). Suppose 2173*z = 2181*z + 128. Let k = o - z. Calculate the remainder when k is divided by 16.
11
Suppose 0 = -19*q + 4127 + 19908. Calculate the remainder when q is divided by 258.
233
Suppose -65*u + 2752 = 2622. Suppose 4*o + 3*g + 2 = g, 2*g + 6 = -2*o. What is the remainder when u is divided by o?
0
Suppose 476 = 4*z + 5*k - 7*k, -3*z + 4*k + 362 = 0. Suppose -5*c + z = -3*c. Let h = 65 - c. Calculate the remainder when 27 is divided by h.
3
Suppose 26*g + 6 = 29*g, -y + g + 127 = 0. Calculate the remainder when 405 is divided by y.
18
Let u(d) = -d**3 - 3*d**2 + 7*d + 4. Suppose 29*c + 44 + 508 = 37*c. Calculate the remainder when c is divided by u(-5).
12
Let d = 1852 - 1799. What is the remainder when d is divided by (-144)/(-5) - (-3)/15?
24
Let z(h) = -h**2 - 11*h + 2. Suppose 4*w = 5*j - 5 - 35, -w - 10 = j. Calculate the remainder when (-2)/2 + 19 + (6 - 3) is divided by z(w).
9
Let s(a) = a**2 - 53*a + 1153. What is the remainder when s(49) is divided by 60?
57
Calculate the remainder when (-1346)/(-2) - (-72)/(-12) is divided by 61.
57
Let y be (-1 - -2)*-2*(-180)/(-8). Let j be (-15)/y - 16/(-6). Suppose 0 = -j*q + 20 + 25. Calculate the remainder when 33 is divided by q.
3
Let u be 10 + -18 - -1*24. Let t(d) = -d**3 + 16*d**2 + 11*d + 17. What is the remainder when t(u) is divided by 15?
13
Let v be (-8)/(-6) - (-34)/51. Suppose v*x + 490 = 518. Calculate the remainder when x is divided by 12.
2
Let o(f) = -33*f**2 + 7*f - 1 + f**3 + 63*f**2 - 21*f**2. Calculate the remainder when o(-7) is divided by ((-34)/8)/((-2)/8).
14
Let c(t) = -t**3 - 39*t**2 - 5*t - 168. Calculate the remainder when 701 is divided by c(-39).
26
Let v(r) = 30*r + 30. Let h be v(-1). Suppose h = -8*p + 5*p + 4*j + 423, -5*j + 259 = 2*p. Calculate the remainder when p is divided by 48.
41
Let q be 8 + -6 - (8 - 3 - 0). Let n(x) = 13*x**2 + 17*x + 15. Let i(y) = y**2 - y + 2. What is the remainder when n(q) is divided by i(-4)?
15
Suppose -4284 = -0*t - 51*t. Let c(h) = 7*h**2 - 4*h + 9. What is the remainder when t is divided by c(2)?
26
Suppose 34*i - 764 = -2*x + 30*i, -2*i = -x + 398. What is the remainder when x is divided by 56?
54
Suppose -5*w - 15 = 4*z, 0 = -206*w + 207*w + 7. Suppose 0 = -0*b - b + 26. Calculate the remainder when b is divided by z.
1
Suppose p - 60 + 161 = 5*n, 4*n - 68 = 4*p. Calculate the remainder when 1004 is divided by n.
17
Suppose 0 = -4*d - 14 - 26. Calculate the remainder when (-15 - d)*(-159)/5 is divided by 4.
3
Let b be ((0 - -1)/1)/((-3)/(-465)). Let z = b + -110. Calculate the remainder when z is divided by 17.
11
Let s be (-7)/(5/(-30)*9/24). Let y = s - -991. Calculate the remainder when y is divided by 48.
47
Let l = 22350 + -22322. Calculate the remainder when 372 is divided by l.
8
Let c be (0 - 4)/(-3 - -1). Suppose -4*q + 0*t = c*t - 164, -4*t + 27 = q. What is the remainder when (3834/284)/((-2)/(-12)) + 2 + 0 is divided by q?
40
Suppose 0 = -4*d + 3*j + 1258, -10*d + 9*d + 349 = 5*j. Calculate the remainder when d is divided by 107.
105
Let f = -26328 + 27813. What is the remainder when f is divided by 492?
9
Suppose 1086 = 4*j + 3*i, -25*j - 556 = -27*j + 5*i. Calculate the remainder when j is divided by 265.
8
Suppose -27425*u = -27420*u - 1355. Calculate the remainder when u is divided by 48.
31
Let d = -6407 - -6812. What is the remainder when d is divided by 99?
9
Let b = -12841 - -13238. What is the remainder when 1242 is divided by b?
51
Suppose 0*x + 2*x - 4*n = 46, x - 4*n - 33 = 0. Let o(t) = 15*t - 9*t + 11 - 63. Calculate the remainder when o(17) is divided by x.
11
Suppose -42*c + 1638 = -29*c. Suppose -119*z = -c*z + 189. What is the remainder when 104 is divided by z?
23
Let o = -24 - -44. Let h(k) = -k**3 + 3*k**2 - 2*k + 7. Let q be h(3). Calculate the remainder when -5 + 4 + 40/q is divided by o.
19
Suppose -q - 68*k + 66*k + 20 = 0, 5*q - 2*k = 40. What is the remainder when 1058 is divided by q?
8
Suppose 0 = -3*t + 2*y + 155, -2*t + 24*y + 90 = 20*y. What is the remainder when 1587 is divided by t?
47
What is the remainder when 348 is divided by (19 + -10 - 0) + 0?
6
Let i(m) = 6*m**2 + 4*m - 38. Let a be (-1)/8*-4*(-90)/(-9). Calculate the remainder when i(a) is divided by 42.
6
Let c be (32/(-24))/(8/(-18)). Suppose -c*b - k = -2*k - 7, 11 = 3*b - 5*k. What is the remainder when -22*(-5)/b*1 is divided by 29?
26
Suppose 5*w + 2*k - 997 = 0, -4*w - 165 = 4*k - 965. Let g(b) = 795*b - 4765. Calculate the remainder when w is divided by g(6).
4
Let f = 162 + -63. Suppose 5*m + 521 = 4*g, -5*g = 2*m - m - 615. Let u = g + -99. What is the remainder when f is divided by u?
24
Let z be (135/(-36))/((-1)/(-4)). Let r = z + 20. Suppose -g = -5*x + g + 32, -x = r*g - 1. Calculate the remainder when 81 is divided by x.
3
Calculate the remainder when (-7772)/(-20) + -14 + 4/10 is divided by 9.
6
What is the remainder when 3/1 + 36/132 + 433389/121 is divided by 9?
3
Let i be (1/(-2))/(-2 + (-33)/(-18)). Suppose 5*v + 2*y = 62, -55 = -5*v + i*y + 2*y. Calculate the remainder when 166 is divided by v.
10
Let f be 8 + -696 - (-5 + 4). Let u = f - -858. Calculate the remainder when u is divided by 6.
3
Suppose -14419*h = -14429*h + 3990. Calculate the remainder when h is divided by 123.
30
Suppose -130*d + 108*d - 68992 = -86*d. What is the remainder when d is divided by 378?
322
Suppose -28*x + 30*x = -10*m + 1216, 5*x + 4*m - 3019 = 0. Suppose 0 = -k - 3*k + 76. What is the remainder when x is divided by k?
14
Suppose -270 = -2*o - 5*d + 45, -2*o = -3*d - 275. What is the remainder when 280 