
Let z = -68 + 161. Suppose -73 = b + y, 5*b = 4*b + 4*y - z. Let j = 90 + b. Calculate the remainder when 76 is divided by j.
11
Suppose 5*g - 29 - 16 = 0. Let x(y) = y**3 + 7*y**2 - y - 21. Let j be x(-6). Suppose j*s - 29*s + 272 = 0. What is the remainder when s is divided by g?
7
Suppose 2*l - 10 = 7*l, 2*j - 4*l = 2. Let m = j - -21. Calculate the remainder when (-71)/1*(-3 + 2) is divided by m.
17
Let t be (704/55 + -14)/(2/(-210)). Suppose -15*a - t = -22*a. Calculate the remainder when 87 is divided by a.
15
Let b = 17 - 37. Let l be 8/b + (-27)/(-5). What is the remainder when 91 is divided by (15/l)/((-9)/(-57))?
15
Suppose -2*o + 3*f + 1178 = 0, -2*o + 2364 = 2*o - 4*f. Suppose -245*c + 794 + 1534 = -4042. Calculate the remainder when o is divided by c.
23
Suppose -99 + 294 = 65*h. What is the remainder when 2567 is divided by h?
2
Let z(a) = 3*a**2 + 11*a - 22. Suppose 5*b + p + 32 = 0, -7*b + 3*p = -2*b + 24. Suppose -80 - 18 = -g. Calculate the remainder when g is divided by z(b).
18
Suppose k + 3*o - 34 = 0, -o = -3*k - 254 + 286. Suppose -645 = -5*q - i - 3*i, q + 2*i = 135. What is the remainder when q is divided by k?
8
Let z(k) = -k**3 - 6*k**2 + 146*k + 1285. Calculate the remainder when 6814 is divided by z(-11).
282
Suppose 225*n = 200*n + 550. What is the remainder when 9436 is divided by n?
20
Let i be 72 + 5/(-15)*0. Suppose -110 = -14*c + i. Calculate the remainder when 310 is divided by c.
11
Suppose -281 = -23*r + 5308. Let n = 36 + r. Calculate the remainder when n is divided by 14.
13
Let h = 12422 - 12346. Calculate the remainder when 1975 is divided by h.
75
Let x = 16921 - 16820. Calculate the remainder when x is divided by 50.
1
Let v be ((-1)/2)/((-3)/(-6)). Let z(a) = -18*a + 1. What is the remainder when (-48804)/(-441) - (-8)/6 is divided by z(v)?
17
Let v(i) = -i**3 - 14*i**2 - 191*i + 38. What is the remainder when 3547 is divided by v(-8)?
1
Let j = 311 + -275. Calculate the remainder when 375 is divided by -2 + (-210)/(-9)*j/15.
51
Suppose 220*o + 2*i = 217*o + 114, -5*o + 204 = i. Calculate the remainder when 2139 is divided by o.
39
Suppose 2 = 4*b + a - 42, -4*b = 3*a - 44. Let s = -166 - -185. What is the remainder when s is divided by b?
8
Let w(m) be the second derivative of 13*m**3/6 + m**2/2 + m + 2. Calculate the remainder when 710 is divided by w(6).
78
Suppose 414*w = -432*w + 870*w - 17280. What is the remainder when w is divided by 46?
30
What is the remainder when 10/((-50)/(-6655)) + 3 is divided by 273?
242
Let s(p) = -3*p**3 + 3*p**2 - p + 22. Let q(z) = z**3 - z**2 + z - 10. Let m(l) = 5*q(l) + 2*s(l). What is the remainder when 209 is divided by m(-3)?
20
Suppose 5*l - 44 = l. Suppose -32*k + 28*k + 100 = -i, 5*i - 98 = -3*k. What is the remainder when k is divided by l?
4
Let x = 4826 + -4740. Calculate the remainder when x is divided by 31.
24
Let h = -2 - -60. Let j = 980 + -869. What is the remainder when j is divided by h?
53
Suppose 5*j - 1249 = -3*y, y + 164 = 2*j - 351. Calculate the remainder when 1802 is divided by j.
24
Let z be (-16)/12 - (-4490)/15. Suppose -33*m + 1385 = -z. Let r = -83 - -337. What is the remainder when r is divided by m?
50
What is the remainder when 164 is divided by 14*4/8 - -8?
14
Suppose 24*s = 22*s - j + 802, -2*j = 3*s - 1203. Calculate the remainder when s is divided by 11.
5
Let h be 2 + -2*(0 + 1). Suppose -5*o - 10 = h, 4*o = -2*a + 4*a - 30. Let x(p) = -p**2 + 83*p - 63. What is the remainder when x(82) is divided by a?
8
Let l = 91 - 28. Let w = l - 152. Let b = w - -108. What is the remainder when b is divided by 7?
5
Let i(d) = d**3 + 7*d**2 - 13. Let s be i(-7). Let q(h) = h**2 - 2*h + 13*h - 14 + 0*h. Calculate the remainder when 46 is divided by q(s).
10
Suppose -11*g - 70 = -g. What is the remainder when 251 is divided by (8/(-6))/((-760)/108 - g)?
35
Let a(y) = y + 33. Suppose 225*j + 299*j - 146240 = -390*j. What is the remainder when j is divided by a(0)?
28
Let j = -10924 - -11002. What is the remainder when 10061 is divided by j?
77
Suppose -84 = 220*m - 223*m. Suppose -5*l = 3*b - 553, 59 + 384 = 4*l + 3*b. Calculate the remainder when l is divided by m.
26
Let g(c) = 9*c + 11. What is the remainder when ((-580)/(-6))/((-2)/(-3) + 0) is divided by g(3)?
31
Suppose 0 = -3*o - 5*x + 1025, -351 = -o - 7*x + 3*x. Let k(g) = -g + 21. Calculate the remainder when o is divided by k(-35).
55
Suppose k - 8 - 9 = 0. Suppose 2*c + 3 - 7 = -2*f, 2*c - 24 = 3*f. Suppose -c*u + 66 = 5*u. What is the remainder when k is divided by u?
5
Let b(t) = -t**3 + 8*t + 3. Let i be b(-6). Let u = 254 - i. Let r(l) = 2*l**3 - 101*l**2 + 237*l + 173. What is the remainder when u is divided by r(48)?
25
Suppose 66 = 7*h + 3. Suppose g + n + 69 = 3*g, 4*g - n - 133 = 0. Let s = 62 - g. Calculate the remainder when s is divided by h.
3
Suppose 247 = 13*n - 65. Calculate the remainder when 173 is divided by n.
5
Let m(x) = 7*x + 162. Let i(t) = 16*t - 238. Let o be i(14). Calculate the remainder when 164 is divided by m(o).
36
Let u = -3594 + 3618. Suppose -16 = -3*g + 5. Let m(a) = -a**2 + 7*a + 5. What is the remainder when u is divided by m(g)?
4
Let n(q) = -q**2 - 5*q - 1. Let b be n(-4). Let v = -359 + 363. Suppose 2*w + 5 = b*y - 1, -8 = -v*y - w. Calculate the remainder when y is divided by 1.
0
Suppose 0 = 2*l - 88 + 98. Let z(t) = 3*t**2 - 11*t - 11. What is the remainder when z(l) is divided by 5/20 + (-119)/(-4)?
29
Let z(i) = i**2 + 7*i - 79. Let u be z(6). Let v(w) = -42*w - 1. Calculate the remainder when v(u) is divided by 35.
6
Let b(x) = 2*x**2 - 6*x + 10. Let c = 96 - 92. Let t = -6 + 75. Calculate the remainder when t is divided by b(c).
15
Suppose -5*o = -5*k + 950, 77*k = 71*k - 3*o + 1068. What is the remainder when 908 is divided by k?
180
Suppose -4*d = -4*h - 6556, 4*d - 6550 = -0*h + 3*h. Calculate the remainder when d is divided by 182.
177
Suppose i = 3*i - 180. Suppose 91*r - i*r + 51 = 0. Let j = -43 - r. Calculate the remainder when 13 is divided by j.
5
Let p(v) = v + 4. Let w be p(11). Calculate the remainder when 257 is divided by (234/w)/((-12)/(-40)).
49
Suppose 5*v - 225 = 215. What is the remainder when v is divided by (-25)/(-4)*216/54?
13
Suppose -3*t + 105 + 414 = 0. Suppose t*u = 175*u - 108. Suppose -4*z + 194 = 4*m + 38, -m - 4*z = -u. What is the remainder when 167 is divided by m?
31
Let z(u) = -u + 8. Let r be z(14). Let a be (-30 - 1)/(-1) + r/(-2). What is the remainder when 0/(-1) + 1 + a is divided by 12?
11
Suppose -714 - 1332 = 7*w - 29*w. Calculate the remainder when w is divided by (-1 - -4)*1*7.
9
Let a(k) = 33*k**2 - 26*k + 25. Let p be (0/(-2 + 5))/1. Suppose -3*x + 7 = -4*x + 5*d, p = -3*x + 4*d + 34. Calculate the remainder when a(1) is divided by x.
14
Let v(g) = -g**3 + 26*g**2 - 74*g + 78. Suppose o + 2 = l - 3, 5*l + 2*o - 60 = 0. What is the remainder when v(8) is divided by l?
8
Calculate the remainder when 15687/30 + 184/1840 is divided by 121.
39
Suppose -9 = 8*g - 5*g. Let s = 26 + g. Calculate the remainder when 1/3 - (-3380)/30 is divided by s.
21
Let s(d) = 23*d - 3. Suppose -69*x + 37 = -66*x - w, -5*w = -25. What is the remainder when s(3) is divided by x?
10
Suppose -7 = -w + 2. Let c(d) = d**3 - 10*d**2 + 10*d + 2. Suppose 2*k - 4*s = 75 + 25, k - 11*s + 4 = 0. Calculate the remainder when k is divided by c(w).
7
Let j(h) = 40*h**2 + h - 1. Let o(d) = -11 + 4*d**2 + 22*d**3 + 12 - 6*d**2. What is the remainder when j(1) is divided by o(1)?
19
Let f = 7772 - 7277. What is the remainder when f is divided by 265?
230
Let r(x) be the third derivative of -x**5/20 - x**4 - x**3/6 + 34*x**2. Calculate the remainder when 30 is divided by r(-7).
10
Let d(g) be the first derivative of -g**2 + 127*g + 219. What is the remainder when 147 is divided by d(27)?
1
Let m(x) = -x**2 - 17*x - 6. Let j = 74 + -71. Suppose j = -h - 4*c, 5*c - 5 = 5. Calculate the remainder when m(h) is divided by 16.
12
Let k = 2259 - 2250. Suppose -5*g = -h - 27 - 7, 0 = h + 4. Suppose -g*v + 117 + k = 0. Calculate the remainder when 125 is divided by v.
20
Let l(q) = -27*q - 2 - 15 + 0*q - 33*q. Let d be l(-3). Suppose 0 = 3*t - r - 81 - 80, -2*r - d = -3*t. Calculate the remainder when t is divided by 9.
8
Let n