 + 2. Let x(i) = l(i) + s(i). What is the remainder when x(-1) is divided by 13?
7
Suppose -5*f + 4*l = -8247, 353 = f + 2*l - 1288. What is the remainder when f is divided by 127?
123
Suppose 41790 = -23*u + 107087 + 49956. Calculate the remainder when u is divided by 88.
83
Let u(o) = -282*o + 552. Calculate the remainder when u(1) is divided by 256.
14
Let w = 21 + -3. Let z be (9 - 25/5) + -99. Let b = z + 128. What is the remainder when b is divided by w?
15
Let v(m) = m**3 - 15*m**2 - 17*m + 69. What is the remainder when 241 is divided by v(16)?
29
Suppose -15*t + 5*y - 148 = -17*t, 4*t - 296 = 4*y. What is the remainder when 577 is divided by t?
59
Suppose 3245 + 2943 = 14*k. What is the remainder when k is divided by 41?
32
Suppose 3 = y - 2*n, 5*y = 3*n + 2*n + 35. Suppose 0 = -l - 2*j + 19, -2*j - y = 2*l - 39. What is the remainder when 59 is divided by l?
5
Suppose -21*t + 128 = -19*t. Suppose -23*f + t*f = 492. Calculate the remainder when 37 is divided by f.
1
Let k(z) = z**2 + 170*z - 3791. Calculate the remainder when k(20) is divided by 2.
1
Let i be 117/21 + 39/91. Let s(x) = 28*x - 95. What is the remainder when s(i) is divided by 25?
23
What is the remainder when 12 - 0/(-14) - -357 is divided by 121?
6
Let q(g) = 23*g + 716. What is the remainder when 482 is divided by q(-29)?
41
Let h(k) = k**2 - 3*k - 9. What is the remainder when 7340/14 + 238/(-833) is divided by h(8)?
28
Suppose 1091 = d + 3*n, -3*d = -3*n - 594 - 2643. Suppose 0 = -2*r - 3*i + 543, -5*i + 3*i = 4*r - d. Calculate the remainder when r is divided by 39.
36
Let q = 519 - 281. Suppose 6*i - 446 = q. What is the remainder when i is divided by 58?
56
Suppose 0 = 5*h - 10, p + 0*h + 4*h = 39. What is the remainder when p is divided by (-14 + -6 - -20) + 9?
4
Suppose 5*d + 980 = 19*d. Suppose 0 = 3*o + d - 88. Let m = -32 - -47. What is the remainder when m is divided by o?
3
Let c(l) = -l**3 + l**2 + l + 121. Let k(u) = u**3 + 16*u**2 - 56*u - 165. Calculate the remainder when c(0) is divided by k(-2).
1
Let a(c) = 2*c**2 - 26*c + 26. Let j be a(12). Suppose j*m + 58 - 120 = 0. Calculate the remainder when 35 is divided by m.
4
Suppose -10*h = -14*h + 76. Suppose -h*v - 13 = -20*v. What is the remainder when 41 is divided by v?
2
Suppose 0 = -4*b + 5*f + 49 - 9, -2*f = 0. Let i be 0 - (3/3 - 1). Suppose 4*w - 3*w + 3 = i, -q + 5*w = -49. What is the remainder when q is divided by b?
4
Let f(v) = -3*v + 40. Let j(k) = k**3 - 8*k**2 + 6*k. Let b be j(7). What is the remainder when 178 is divided by f(b)?
56
Let j(y) = 7*y**3 - 2*y**2 + 20*y - 38. Calculate the remainder when 9011 is divided by j(2).
11
Let j = -19282 + 19603. Calculate the remainder when j is divided by 79.
5
What is the remainder when 4165/6 - (-112)/(-96) is divided by 12?
9
Let x(j) be the first derivative of j**3 + 25*j**2/2 + 18*j + 1. Let f = -346 + 336. What is the remainder when x(f) is divided by 14?
12
Let u(d) = d + 17. Let p be u(-5). Suppose k - 4 = 4*n, -5*n - 2*k + p = k. Let h = 6 - n. Calculate the remainder when 17 is divided by h.
5
Let u(z) = z**3 - 13*z**2 + 13*z + 1. Let l(w) = w**2 + 2*w. Let x be l(-6). Suppose 48 + x = 6*o. What is the remainder when 48 is divided by u(o)?
9
Let k = -40 - -41. What is the remainder when 44 is divided by 1 - 1 - (-17 + k)?
12
Let f(g) = -g**3 + 18*g**2 + 59*g + 50. Let a be f(21). Suppose -2 - 4 = -2*b, -3*y = 4*b + 39. Let i = y - a. Calculate the remainder when 32 is divided by i.
15
Let n(v) = -2*v**3 + 25*v**2 - 11*v - 5. Suppose 3*g = 2*z - 24, -5*z + 3*g = -0*z - 60. Calculate the remainder when 264/20 - 2/10 is divided by n(z).
6
Let i(r) = 39*r - 11 - 35 - 33*r. Calculate the remainder when i(15) is divided by 26.
18
Suppose -34*h + 38*h - 3*t = 6999, -2*h - 2*t + 3482 = 0. What is the remainder when h is divided by 76?
74
Suppose 0 = 11*d - 380 - 115. What is the remainder when 112 is divided by d?
22
Suppose 0 = -6*a - 1233 - 915. Let i = 374 + a. Calculate the remainder when i is divided by 3.
1
Let u = 333 - -214. Suppose 0 = -4*w + 3*q + u, 3*w = 2*w - q + 135. What is the remainder when w is divided by 40?
16
Suppose 187*b - 57*b - 58287 = 49743. Calculate the remainder when b is divided by 66.
39
Let k = -8697 - -8766. Calculate the remainder when k is divided by 41.
28
Suppose -3*k - 5*a + 936 = 0, -2*k + 374 + 250 = 4*a. What is the remainder when k is divided by 102?
6
Let b = 38 + -33. Let y be 1 + b/(20/104). Let i = 50 - y. What is the remainder when 45 is divided by i?
22
Let u(y) = 3*y**2 - 2. Calculate the remainder when -8*12/(-48) + 4/(-6) + (-5356)/(-78) is divided by u(-3).
20
Let j(x) = -15*x**2 + 5*x**2 - 78 + x**2 - x**3 - 10*x**2 + 8*x. What is the remainder when j(-20) is divided by 41?
39
Let r(n) = -n**2 - 66*n + 287. Calculate the remainder when 4826 is divided by r(-70).
3
Suppose -652 = -4*b + 141*q - 145*q, 3*q - 169 = -b. Calculate the remainder when 12477 is divided by b.
157
Suppose -187*x + 82544 + 14513 + 35900 = 0. Calculate the remainder when x is divided by 43.
23
Let c(i) = -i**2 + 7*i + 63. Let g be c(-5). Suppose 21*w - 26*w = 5*d - 200, 0 = -g*d - 4*w + 119. What is the remainder when d is divided by 11?
8
Let c = 4144 + -4128. What is the remainder when 831 is divided by c?
15
Suppose -321 = -33*i + 3243. Let y be -2 - -9*(-4)/6. Let p = 30 + y. Calculate the remainder when i is divided by p.
20
Suppose -190*a + 2031 + 629 = 0. Calculate the remainder when a is divided by (-104)/(-18) + (-4)/(-18).
2
Suppose -3*x - x = 8. Let b be 4 + 229 - x/(-2). Suppose 0 = -9*j + j + b. Calculate the remainder when 81 is divided by j.
23
Let d(n) = -n**3 + 14*n**2 + 14*n + 54. Let k be d(16). Let b = k + 250. Calculate the remainder when b is divided by 9.
7
Let d(z) = -z**3 - 4*z**2 - 8*z - 3. Let c be d(-2). Calculate the remainder when 54 is divided by (5 - (c + 5)) + 21 + 3.
16
What is the remainder when 2*75/(-180) + 85174/12 is divided by 142?
139
Suppose 5*j - 2*p + 2668 - 10942 = 0, -4*p + 6580 = 4*j. What is the remainder when j is divided by 9?
5
Let n = 201 + -144. Let w = -50 + n. Suppose -j = 3*s + w, 4*j + s - 18 + 2 = 0. What is the remainder when 52 is divided by j?
2
Let t = -3091 + 3146. Calculate the remainder when t is divided by 49.
6
Suppose 4*y = -y + 30. Let f(j) = j**3 - 16*j**2 - 21*j + 84. Calculate the remainder when f(17) is divided by y.
4
Suppose 4*k - 300 = -5*a, 155*a = 167*a - 2*k - 720. Calculate the remainder when 778 is divided by a.
58
Let r(b) = -b**2 - 89*b - 967. Calculate the remainder when 3734 is divided by r(-14).
82
Let t(l) = -44*l + 635. Calculate the remainder when 90 is divided by t(14).
14
Suppose -10*m - 4*i + 576 = 0, -4*m + 5*i = -m - 148. What is the remainder when 14893 is divided by m?
53
Suppose 59 = -5*p - 21. Calculate the remainder when -14*2/(p/68) is divided by 176/(-22) + 20 + 0.
11
Let r = 19378 - 19360. What is the remainder when 603 is divided by r?
9
Let y(t) = -93*t + 1375. Calculate the remainder when 444 is divided by y(13).
112
Let p be (-22)/165 - (0 - 77/15). Suppose -84 = p*c - 4*m, -2*m - 3*m = -c. Calculate the remainder when (-44)/(-10) + c/50 is divided by 3.
1
Let f = -160 - -259. What is the remainder when 161 is divided by 79/3 - (-66)/f?
26
Let w(a) be the third derivative of 2*a**5/15 - 5*a**4/24 - a**3/6 - 74*a**2. Calculate the remainder when w(-6) is divided by 53.
52
Let y = 292 - 289. Calculate the remainder when 136 is divided by (y - 0)/(27/369).
13
Suppose 65*h - 63*h - 4 = 0. Suppose 0 = 5*y + 5*o - 1915, 1154 = 3*y - 0*o - h*o. Calculate the remainder when y is divided by 23.
16
Let s be ((-2)/(24/(-33)))/((-2)/16). Let b = -20 - s. Calculate the remainder when -15*(-3)/((-5)/(-4) + 1) is divided by b.
0
Suppose 2400 = 28*h - 372. Calculate the remainder when 314 is divided by h.
17
Let r(m) = -5*m + 9*m**2 + 8 - 5 - 12 + 2*m**3. What is the remainder when 46 is divided by r(-4)?
19
Suppose o + q - 647 + 57 = 0, -3*q = -2*o + 1185. Calculate the remainder when o is divided by 96.
15
Suppose 0 = -19*s - 1006 + 4578. Suppose 0 = -198*g + s*g + 80. What is the remainder when 165 is divided by g?
5
Let l(y) = y**3 - 11*y**2 + 15*y + 65. Calculate the remainder when l(13) is divided by 39.
13
Suppose 5*j