 the remainder when (g - 0)*(-4 - -77) is divided by r?
46
Let h = 144 - 226. Let u = 84 + h. Suppose u*f = -f + 75. What is the remainder when 96 is divided by f?
21
Let v(s) = 4*s**2 - 88*s - 645. Calculate the remainder when 1266 is divided by v(-6).
24
Let z = -3432 + 4240. Calculate the remainder when z is divided by 17.
9
Suppose -3940 = 442*m - 33112. What is the remainder when ((-591)/(-9))/((-3)/(-9)) is divided by m?
65
Let i = -78615 + 78714. Calculate the remainder when i is divided by ((-10)/(-3) - 1)*12.
15
Suppose 19 = 2*s - 5*f, -5*s + f + 25 = -4*f. Let u(t) = -2*t + 4*t**2 - 14 - 9*t**2 + 20*t + 4*t**s. Calculate the remainder when 50 is divided by u(16).
14
Let g(q) = q**2 + 35*q + 148. Let r be g(-30). Calculate the remainder when 5/r*((-3776)/40 + 4) is divided by 4.
2
Let s(f) = f**2 - 15*f + 75. What is the remainder when s(19) is divided by 98?
53
Suppose 1330 = 4*n + y - 93, -4*n - 5*y + 1419 = 0. Suppose -g = -4*d + n, -4*g = -2 + 18. What is the remainder when d is divided by 7?
4
Suppose -18*w + 48 = -24. Suppose 0 = -t - m, -t = w*m - 1 + 10. What is the remainder when 58 is divided by t?
1
Let t be 8*7/28 - 9. Let y(v) be the second derivative of -v**5/10 - 13*v**4/12 - v**3/2 + 7*v**2/2 - 8*v. What is the remainder when y(t) is divided by 27?
23
Let p be 165 - -1 - (-17 - -20). Let u = p + -32. Let d = -20 - -53. Calculate the remainder when u is divided by d.
32
What is the remainder when 3/4 + 2338/8 is divided by (4/(-6) - -1)/((-221)/(-33150))?
43
What is the remainder when ((-1486)/12)/(262/(-1572)) is divided by 29?
18
Suppose u + 878 = -4*t + 902, -18 = 3*t. What is the remainder when 130 is divided by u?
34
Let f = 258 - 250. What is the remainder when 68 is divided by (f/(-28)*2)/(1/(-14))?
4
Let m be ((-14)/8)/(1/(-18 + -2)). Let b be 21/(-12)*(-10)/m*2. Suppose -5*d - b = -v + 33, 2*v + 3*d = 3. Calculate the remainder when v is divided by 5.
4
Suppose -3*k + 6 = -15. Let y be (-6 - -19) + 4*-2. Suppose -y*v = 4*r - 184, 4*v + 5*r + 180 = 8*v. What is the remainder when v is divided by k?
5
Suppose -5*o + 46 = 2*n, 0 = -2*o - 2*o - 4*n + 44. Calculate the remainder when -1 - -8 - (87/(-29)*9/9 + -3) is divided by o.
5
Let p be (-13)/(-39) + (-89)/(-3). Suppose 3*i - 3*a - 39 = 0, -2*i + 4*a + p = -0*i. Let x = 38 + 1. What is the remainder when x is divided by i?
6
Suppose -5*k + 8*c = 10*c - 38, -3*c + 21 = 3*k. Let g(v) = 14*v - 28. What is the remainder when g(k) is divided by 27?
3
Suppose -a - 13 = -532. What is the remainder when a is divided by 242/9 - ((-84)/27 - -4)?
25
Let z = 161 - 129. Suppose -z - 10 = -14*r. Calculate the remainder when 28 is divided by r.
1
What is the remainder when ((-54)/72)/(((-4)/1968)/((-4)/(-18))) is divided by (-1)/(-5) - (-570)/25?
13
Suppose -17*y + 3*k + 44 = -13*y, -5*k - 36 = -4*y. Calculate the remainder when 1153 is divided by y.
5
Let b(l) = 6*l - 1. Let g be b(1). Suppose -3*q + 61 = -g*v, 0 = -5*v + 34 - 14. What is the remainder when q is divided by 13?
1
Suppose t - 35 + 10 = 0. Let r be (4 + 881)*(-3)/(-3). Suppose 3*a + 294 = r. What is the remainder when a is divided by t?
22
Suppose -3*n + 2*w + 0*w + 323 = 0, -2*n + 4*w = -210. What is the remainder when 352 is divided by n?
25
Let h(n) = 63*n + 1437. Suppose o - 14 + 3 = 0. What is the remainder when h(-22) is divided by o?
7
Suppose 53 = -4*p + 221. What is the remainder when -1*(-248)/3 - (-54)/7938*-98 is divided by p?
40
Let h = -14731 + 14741. Calculate the remainder when 8158 is divided by h.
8
Suppose -n - 12 = -5*q - 41, 3*n = -4*q + 106. Suppose -s + 72 = 3*c, 4*c = -4*s - 109 + 485. Calculate the remainder when s is divided by n.
3
Let f(a) = 4*a - 3. Let w be 0 + 2 - (3 + 0 + -10). Calculate the remainder when 9/((-135)/(-760)) + (-6)/w is divided by f(4).
11
Suppose 3*n + 3*a - 6*a - 2058 = 0, 5*n = a + 3406. Calculate the remainder when n is divided by 31.
29
Suppose 22*j = -5*s + 26*j + 25254, -5074 = -s - 5*j. Calculate the remainder when s is divided by 18.
14
Suppose 0 = 5*g, -3*g - 18 = 4*f - 74. Calculate the remainder when 15747 is divided by f.
11
Let p = -51 + 93. Let g(c) = 63*c + 590. Calculate the remainder when p is divided by g(-9).
19
Suppose 32 = h + 3*h. Let p(w) = -69 + 20 + 15 + 21 + 3*w. What is the remainder when p(h) is divided by 10?
1
Let s(b) be the third derivative of b**4/24 - b**3/6 - b**2 - 5. Suppose 2*j = 59 - 15. Calculate the remainder when j is divided by s(8).
1
Suppose -2*n + 14 = -2. Suppose 37*z = 1119 + 2581. Calculate the remainder when z is divided by n.
4
Suppose 29394 = 4*j - 10*k, -5*k + 47538 = 5*j + 10708. Calculate the remainder when j is divided by 254.
249
Let n = -5068 - -5105. What is the remainder when 220 is divided by n?
35
Let b(u) = 7*u - 26. Let h be b(4). Let y(c) = 13 + c**3 - 12*c + 6*c**2 + 8*c**2 - 5*c**h - 13*c. What is the remainder when y(-11) is divided by 16?
14
Let v(o) = -6*o - 61. Let a = 93 - 104. Let b = 10 + -8. What is the remainder when v(a) is divided by b?
1
Suppose 93 = 311*t - 343*t + 317. Let q(y) = y**2 + 2*y - 9. Calculate the remainder when q(6) is divided by t.
4
Let w(m) = -6*m - 2*m + 73 + 2*m**2 - 3*m - 71. Let p(v) = v**3 + 7*v**2 - 3*v - 10. What is the remainder when w(8) is divided by p(-7)?
9
Let n = -5531 + 6509. Calculate the remainder when n is divided by 11.
10
Let d = -320 + -436. What is the remainder when 345 is divided by ((-4)/(-18))/((-12)/d)?
9
Suppose -15 = -h + 2*z - 13, 0 = 4*h - 3*z - 18. What is the remainder when 551 is divided by h?
5
Let d(k) = 9*k**2 - 5*k. Suppose -7 = w - 24*z + 22*z, z - 8 = 5*w. Calculate the remainder when 143 is divided by d(w).
3
Let x(i) = i**3 - 13*i + 4. Let b be x(5). Suppose 0 = -9*d - b + 577. Calculate the remainder when 109 is divided by d.
52
Let t be 15/(-3) - (7 + 134). Let r = -138 - t. What is the remainder when 110 is divided by r?
6
Let k(l) = -l**2 + 73*l + 677. Suppose -n = -3*a - 18, -6*n + 4*a = -n - 46. What is the remainder when k(81) is divided by (n/(-5))/(1/(-5))?
5
Let h(d) = 3*d**2 + d. Suppose -b = -2*k - 718, 4*k - 13*b + 12*b = -1436. Let z = k + 363. What is the remainder when z is divided by h(1)?
0
Suppose -3*a + 176*t - 175*t = -85, a = -4*t + 24. What is the remainder when 3917 is divided by a?
25
Suppose -71 = -5*o + 4*g, 1630 = 2*o - g + 1601. What is the remainder when 2826 is divided by o?
6
Suppose -146 - 6 = -2*u. Calculate the remainder when 6 + u + (-1*30)/(-6) is divided by 19.
11
Let n(y) = 2*y - 1. Let z be n(10). Let c(i) = z*i**2 - 65*i**3 + 20*i + 14 + 64*i**3 + 8. Calculate the remainder when c(20) is divided by 8.
6
Let t = -86 + 122. Suppose 19 = n - t. Suppose 114 = -6*k, -2095*r + 2096*r - 65 = 3*k. What is the remainder when n is divided by r?
7
Let m(a) = -59*a + 329. Let r be m(6). Let q(s) = s**3 + 24*s**2 - 26*s - 8. What is the remainder when 95 is divided by q(r)?
10
Let v = 6191 + -6013. What is the remainder when 1239 is divided by v?
171
Let o = 10363 + -10335. Let x = 338 - 240. Calculate the remainder when x is divided by o.
14
Let v = -199 - -202. Suppose -5*k - v*l + 176 = -4*l, -3*k + 88 = -5*l. What is the remainder when 141 is divided by k?
33
Let d = -186 - -222. Suppose -d - 8 = -4*z. What is the remainder when 54 is divided by z?
10
Let i be ((-126)/10)/((-1)/(-5)). Let v = i + 65. Suppose 2*u - 3*l - 35 = 0, v*u - 4 - 10 = -4*l. Calculate the remainder when 88 is divided by u.
10
Suppose -8*v + 235 = -3*v. Let k = -72138 + 72231. What is the remainder when k is divided by v?
46
Suppose -16*a - 24*a + 36*a = -20. Calculate the remainder when 63 is divided by a.
3
Let p = -89 + 93. Let j be 3203/p - ((-162)/(-24) + -6). Calculate the remainder when (-1)/3 - j/(-6) is divided by 46.
41
Let z be 103/((-7)/(-14) - 0). Let u = 256 - z. What is the remainder when u is divided by 12?
2
Suppose 2119 = 4*o - 3*x, -1598 = -3*o - 295*x + 299*x. Calculate the remainder when o is divided by 16.
14
Let n(s) = -2*s - 4. Let j be n(-2). Suppose -b + 7*b - 192 = j. Let h = -27 + b. What is the remainder when 21 is divided by h?
1
Let y = -24 + 64. Suppose l = -183 + y. What is the remainder when 15 is divided by (-1)/(-2) + l/(-26)?
3
Calculate the remainder when ((-529)/(-8) - (-16)/(-128