 0 = 5*t - 4 - w. Calculate the remainder when t is divided by 4.
1
Suppose 4*m = 4*z + 120, -3*z - 2*z = 5*m - 160. Let i be -1 + -300 + (-3 - -1). Let f = -181 - i. What is the remainder when f is divided by m?
29
Suppose -11*u = -6*u + 3*b - 97, 4*u - 75 = -5*b. What is the remainder when u is divided by 11?
9
Let h(u) = -2*u**3 - 8*u**2 - 2*u + 31. Let t be h(-6). Let z = t - 173. Calculate the remainder when 2*((-70)/(-4) + 2) is divided by z.
11
Let s = 114 - 30. Suppose -29 = 114*m - 115*m. What is the remainder when s is divided by m?
26
Let a be 8682/4*2/3. Let f = a - 1032. Calculate the remainder when 59 is divided by (-3)/(f/(-100) + 4).
19
Let v be 5 + -1 - (5 + (3 - 8)). What is the remainder when v/(-7) - (-2154)/21 is divided by 50?
2
Let q(w) = -2*w + 30. Suppose 0 = -5*s + 5*o + 230, -3*s - o + 154 = 4*o. Calculate the remainder when s is divided by q(10).
8
Let c = -53 - 1. Let x = c + 71. Let m = 74 + -43. What is the remainder when m is divided by x?
14
Let w(d) = d**3 + 2*d**2 + 3*d - 1. Let k be w(3). Suppose -11*v = 9 - k. Calculate the remainder when 42 is divided by v.
2
Let a = -468 - -469. What is the remainder when (a + 0/2)*(38 - 2) is divided by ((-26)/(-4))/((-1)/(-2))?
10
Let i = 12 + 27. Let m = 1501 - 1431. What is the remainder when m is divided by i?
31
Suppose -d + 60 = -5*w, 13*d - 4*w = 14*d - 51. Calculate the remainder when 92 is divided by (d/10 + -6)/((-2)/48).
8
Let p(t) = -t**2 + 2*t + 90. Let z be p(-8). Calculate the remainder when ((-96)/4)/(-12 + z) is divided by (-42)/4*(-2)/3.
5
Let z = 10812 - 10236. What is the remainder when z is divided by 283?
10
Let i be (-8)/(-36) - 100/(-36). Suppose -303 - 50 = -i*l - 5*v, 230 = 2*l + 2*v. Calculate the remainder when l is divided by 14.
13
Let a = 2 - -14. Calculate the remainder when (3/3 - 2)*-67 is divided by a.
3
Suppose 4*j + 28 = o - 0*o, -2*o + 91 = -j. Suppose 75*b = 90*b - 2805. Calculate the remainder when b is divided by o.
43
What is the remainder when 777 is divided by (2 - 1)/((902/594)/41)?
21
Let a(f) be the third derivative of -11*f**4/24 - 29*f**3/6 + 2*f**2 + f. Calculate the remainder when 231 is divided by a(-8).
54
Suppose 3*v + j = 90, -5*j + 3*j = -v + 23. Let s = 642 - 139. Suppose s*h - 509*h = -516. Calculate the remainder when h is divided by v.
28
Let n be ((-24)/15)/(6/(-30)). Let c(a) = -a**3 + 10*a**2 - 15*a - 5. Let i be c(n). Suppose -19 = -i*t + 5. Calculate the remainder when 18 is divided by t.
2
Let n = 15620 - 15614. Calculate the remainder when 2215 is divided by n.
1
Suppose -5*m = 4*j - 3980, 2385 = 3*m - 8*j + 11*j. Let n = m - 778. What is the remainder when 388 is divided by n?
14
Suppose 6*c + 2 - 14 = 0. Suppose -c*y + 146 = 2*b, 3*b - 171 = 2*y + 73. Calculate the remainder when b is divided by 20.
18
Calculate the remainder when (1/(-4))/((-491448)/(-35104) + -14) is divided by 61.
60
Calculate the remainder when (-270)/(-81)*444*12/15 is divided by 585.
14
Let c = -1057 + 1643. Let o = c + -435. Calculate the remainder when o is divided by 40.
31
Let w = -4543 - -4613. Let a(r) = -3*r**3 - 4*r**2 + 2*r + 1. Let f be a(2). Let i = w + f. Calculate the remainder when i is divided by 9.
8
Let o(h) = 2*h**2 + 5*h + 9. Let v be o(-4). Calculate the remainder when (v/28)/((-6)/(-296)) is divided by 21.
16
Let g(o) = -o**3 + 6*o**2 - 113*o + 2255. Let d(x) = x**3 + x**2 - x + 128. Calculate the remainder when d(0) is divided by g(12).
23
Let y be 1/7 - 625/(-35). What is the remainder when 185 is divided by 8/(17/(2907/y))?
33
Let x be ((-8)/(-20))/(57/(-15) - -4). Suppose -3*u + 84 = x*d, 2*d = -0*u + 2*u - 56. What is the remainder when 390 is divided by u?
26
Let v(s) = 7267*s**2 - 25*s + 9. Calculate the remainder when v(3) is divided by 54.
51
Let u(z) = 2*z**3 - 8*z**2 + 11*z + 3. Let b be u(7). Suppose -b = -12*s + s. What is the remainder when 88 is divided by s?
20
Let c(f) = -f**2 + 6*f + 2. Let d be c(6). Let r be 2 + 5 - (0 + d). Suppose -23 - 27 = -r*h. What is the remainder when 19 is divided by h?
9
Let x(m) = 1780*m - 17573. What is the remainder when x(15) is divided by 17?
15
Suppose 0 = 123*h - 82*h - 35383. Calculate the remainder when h is divided by 124.
119
Let p(n) = n**3 + n**2 + n - 3. Let r = -5 + 8. Let z(g) = g**2 + 62*g + 930. What is the remainder when z(-41) is divided by p(r)?
33
Let t(n) = 423*n**3 - 1 - 2*n - n**2 + 0 - 478*n**3. Let x = -29 - -28. Calculate the remainder when t(x) is divided by 21.
13
Suppose -27 = -4*r + 4*z + z, 0 = -z - 3. Suppose r*u - 3*p - p = 154, -4*p = -2*u + 108. Calculate the remainder when u is divided by 12.
10
Suppose -4*v + 2451 = 5*j, 64*v - 59*v + 2460 = 5*j. What is the remainder when 594 is divided by j?
103
Let x(a) = -a + 1. Let d be x(-4). Let u = 19 - 23. Calculate the remainder when (u - d)/(2/((-12)/9)) is divided by 3.
0
Let s(u) = 5*u**2 - 6*u + 4. What is the remainder when ((-2)/(-5))/(-1) + -1776*(-20)/300 is divided by s(4)?
58
Suppose -16*z + 19*z - 28*z = -2550. Calculate the remainder when 156 is divided by z.
54
Suppose 77*o - 6720 = 61*o. Suppose 0 = 583*l - 576*l - o. Let i(c) = 34*c - 1. Calculate the remainder when l is divided by i(1).
27
Let g(i) = -32*i - 13. Let r be g(-2). Suppose -r*l + 76*l = 500. Calculate the remainder when 229 is divided by l.
9
Suppose 31*s - 55198 = -112*s. Calculate the remainder when s is divided by 47.
10
Suppose -o + 3*z + 156 = 0, o = 65*z - 70*z + 172. Calculate the remainder when 1192 is divided by o.
58
Calculate the remainder when 1015 is divided by (-124 + 127)/(6/226).
111
Suppose -3*f - 266 = -p + 157, 3*f = -18. What is the remainder when p is divided by 11?
9
Suppose 262*f = 249*f + 2837 - 380. What is the remainder when 846 is divided by f?
90
What is the remainder when (-17562)/(-18) - 6/9 is divided by 43?
29
Let f = 982 + -981. Suppose 2*p + a - 121 = 0, -2*a = -3*p + 3*a + 214. What is the remainder when p is divided by 1 + 7 - 1 - f*-1?
7
Suppose -58189*m - 553 = -58196*m. Calculate the remainder when m is divided by (1 - -4)*(-68)/(-10).
11
Suppose 0 = 40*a + 100251 - 100971. Suppose -6 = 2*y - 2*o, 5*o = -3*y - 2*y - 35. What is the remainder when y/5 + 69 + 0 is divided by a?
14
Let s(l) = l**3 - 46*l**2 - 878*l + 2. What is the remainder when s(-14) is divided by 162?
48
Let c(x) = -x**3 + 9*x**2 - 4*x + 1. Suppose 2*s - 3*u + 107 = -0*s, -5*s - 3*u = 236. Let g = -43 - s. Calculate the remainder when c(8) is divided by g.
3
Let i(p) = -8*p + 14. Let w be i(4). Let t(k) = -k**3 - k - 1. Let f be t(-1). What is the remainder when 189 is divided by ((-12)/w)/(f*1/72)?
45
Let y = 34 - 34. Suppose y*x = -5*x + 25. Suppose 10*r - 11*r + 22 = -5*g, -x*r - 4*g = -110. Calculate the remainder when 28 is divided by r.
6
Let f = 196 - 252. Calculate the remainder when 297 is divided by (120/f)/(1/(-2))*7.
27
Suppose 5655*n = 5659*n - 1112. Calculate the remainder when n is divided by 275.
3
Suppose 38*r + 63 = 215. Calculate the remainder when 454 is divided by -4 + 66 + 12/r.
64
Suppose 0 = -3*n - 2*z + 1616, -3*n - 3*z - z + 1624 = 0. What is the remainder when 546 is divided by n?
10
Let o(h) = 6*h - 132. Let g be o(22). Suppose -10*u + 120 = -g*u. Calculate the remainder when 298 is divided by u.
10
Suppose 0 = 2*s - 3*s + 114. Let g(j) = -s - 13*j + 103 + 3*j. What is the remainder when g(-6) is divided by 13?
10
Suppose -5*r + 12 + 53 = 0. Let t(u) = -5*u + 5 - 8*u + 30*u - r*u - u**2. What is the remainder when 22 is divided by t(3)?
6
Let v = 117 - -61. Let u be (-505)/10 + -1 + (-3)/2. Let y = u + 89. What is the remainder when v is divided by y?
34
Suppose -47*o + 19 + 19627 = 0. Calculate the remainder when o is divided by 127.
37
Let k(u) = 155*u**2 + 86*u - 316. What is the remainder when k(4) is divided by 1244?
20
Let q be -6*2*7/(-6). What is the remainder when q + (0 - (-1 - 4)) is divided by ((-378)/15)/(-3) + 2/(-5)?
3
Let j(t) = 8*t - 83. Let p be ((-5)/(-15))/(1/6). Calculate the remainder when j(21) is divided by ((-3 - -1)*-8)/p.
5
Let h(p) = 2*p**2 - 9*p + 16. Let w be (72/(-45))/((-4)/10). Calculate the remainder when 34 is divided by h(w).
10
Let d = 13 - 51. Let c = 84 + d. Let o(l) = -l**3 - 108*l**2 + 1178*l + 28. What is the remainder when 