et r(t) be the third derivative of -t**6/120 + 5*t**3/6 - t**2. Let j be r(0). What is the remainder when (20/(-6))/(j/(-75)) is divided by 26?
24
Suppose -23*p - 648 = -18*p - 14*p. What is the remainder when 5399 is divided by p?
71
Suppose -3*l - 3*g - 399 = 0, 4*l + 135 = -5*g - 396. Let z = l + 148. Let m = -21 - -104. What is the remainder when m is divided by z?
13
Let u(m) = -2*m**2 - 95*m + 368. Calculate the remainder when u(-47) is divided by 16.
15
Suppose 5*d + k - 295 = 0, 4*k + 8 = d - 72. What is the remainder when (9960/1020)/((-14)/(-119)) is divided by d?
23
Let y(x) = 15*x**3 - 2*x**2 + 18*x - 50. Calculate the remainder when y(3) is divided by 99.
94
Let l(s) = -2*s - 9. Let j be l(-9). What is the remainder when j*9 + (0 - -2) is divided by (-3)/(42/3528*-12)?
20
Suppose -23*h + 58 = -599 - 10. Suppose 0*c - 2*c + 158 = 0. Calculate the remainder when c is divided by h.
21
Suppose -46*z = -118*z - 49*z + 38236. What is the remainder when z is divided by 65?
56
Let h(v) = v**3 - 71. Let x be h(0). Let p = 40 + x. Let m = p + 33. Calculate the remainder when 11 is divided by m.
1
What is the remainder when 16/(-64)*(-5 + 5) - (3 - 20) is divided by (1 - (0 - 14)) + 0?
2
Let n = -61 + 102. Suppose 4*t - 5 + n = 0. What is the remainder when t/((-3 - 2) + 4) is divided by 2?
1
Let o = 5305 - 4987. Calculate the remainder when o is divided by 126.
66
Let g be -6 - (-23 - (3 - 5)). Calculate the remainder when -3 - 190/(-15)*g is divided by 64.
59
Suppose 34*y + b = 29*y + 40, 4*y + b - 32 = 0. Let f = -117 + 202. Calculate the remainder when f is divided by y.
5
Let z = -42334 - -43807. Calculate the remainder when z is divided by 290.
23
Calculate the remainder when 526 is divided by (102/(-6))/(17 + -18).
16
Let s = -170 - -184. Suppose 277 = s*y + 11. Calculate the remainder when 182 is divided by y.
11
Suppose 3706 + 2811 = 19*t. What is the remainder when t is divided by 21?
7
Suppose -17*s + 9958 = -2010. Calculate the remainder when s is divided by 47.
46
Let f be (3 - 33/6)*-6. Suppose -k - 2*k + 6 = -m, -4*m - k = -f. Suppose 2*s - s - 35 = 5*r, -s + 11 = m*r. What is the remainder when 139 is divided by s?
19
Suppose 0 = 3*y - 5*r - 163, -y + 3*r + 0*r = -49. What is the remainder when 95 is divided by y?
34
Suppose 4*p = 2*k - 416, 3*p + 200 = -30*k + 31*k. What is the remainder when k is divided by 144?
80
Let g(z) = -4*z - 7. Suppose -4*a + 14 = 50. Suppose 2*o + 0*o = -5*m + 37, m - 81 = -5*o. Calculate the remainder when g(a) is divided by o.
13
Suppose 0 = 42*u - 537 + 285. What is the remainder when 401 is divided by u?
5
Let n be 628/6*(-21)/(-14). Let h = n + -112. Suppose -4*m = 9 - h. What is the remainder when m is divided by 3?
0
Suppose l = 4*l + 156. Let p be 117/l*(-8)/6. Suppose w = p*w - 120. What is the remainder when w is divided by 21?
18
Let b = -24 + 55. Let g = -251171 + 251248. Calculate the remainder when g is divided by b.
15
Suppose 4*v + 81436 = 4*g, -2*g + 34787 = 4*v - 5913. Calculate the remainder when g is divided by 174.
172
Suppose -6*z = -7*z + 28. Let d = 78 - 93. Calculate the remainder when (d - -14)*53*(-2 + 1) is divided by z.
25
Let w = 238 + -109. Calculate the remainder when w is divided by 27.
21
Let h be 7 + 114/(-30) + 2/(-10). Let o(q) = q**3 - q**2 + q - 6. What is the remainder when o(h) is divided by 4?
3
Let d(p) = p**3 + 3*p**2 + 2*p - 5. Let n be d(-4). Let f = -14 - n. What is the remainder when f is divided by 10 - 8*(-1)/(-2)?
3
Suppose 0 = 2*t - x - 144, -294 = 4*t - 8*t - x. Suppose 0 = 71*y - t*y + 6. What is the remainder when 18 is divided by y?
0
Let b(x) = x**2 + 16*x + 82. Suppose 3*o = -i - 26, -5*i - 49 + 14 = -4*o. Calculate the remainder when 79 is divided by b(i).
25
Let h(n) = 2*n**2 - 19*n + 46. Let c be h(6). What is the remainder when c + (-10 + 0)*-10 is divided by (-692)/(-20) + 2/5?
34
Calculate the remainder when (-30 - (-1372)/42)/((-1)/(-1509)) is divided by 134.
4
Let l = 39 - 1. Let r be 2 + (-3)/(-2) - (-7)/14. Suppose -y = -r*o + y + 36, 0 = -2*o + 4*y + 30. Calculate the remainder when l is divided by o.
3
Let y(h) = 2*h**2 - 3*h - 7. Let q be y(3). Suppose 0 = 2*r + 5*s - 24, 10 - 62 = -q*r + 2*s. What is the remainder when r is divided by 17?
5
Let f = -19 + 36. Suppose -4*g + 4 = 4*r, 5*r = 3*g + r - f. Suppose 3*p + g*b = b + 14, 0 = -p - 5*b - 4. Calculate the remainder when 21 is divided by p.
3
Let h = 7431 + -3368. Calculate the remainder when h is divided by 19.
16
Suppose -5*p - 39*c = -41*c - 284, 106 = 2*p + 3*c. What is the remainder when 92 is divided by p?
36
Let q(f) = -7*f + 23. Let z be q(3). Suppose -m - m - 32 = -c, z*m + 116 = 3*c. What is the remainder when c is divided by 18?
6
Let n(u) be the second derivative of -u**5/20 - u**4/6 - 2*u**3/3 - u**2/2 - 66*u. What is the remainder when 38 is divided by n(-3)?
18
Suppose -2*f = -2*a - 6, 111 - 106 = f. Suppose q = 3*g - 17, -g + a*g = 2*q + 4. Calculate the remainder when g is divided by 5.
1
Let w(s) = 45*s - 3. Let q(n) = 6*n - 28. Let i be q(5). What is the remainder when w(i) is divided by 11?
10
Suppose -j - 5*v - 2 = 0, 0 = 4*j + 2*v + 16 + 28. What is the remainder when 35 is divided by (-3 + 7 - 8) + (0 - j)?
3
Let u = 23430 - 23405. What is the remainder when 3118 is divided by u?
18
Suppose 3*y + 303 = 23*w - 21*w, -4*w + 585 = y. Suppose -2*v - 32 = -i, -2*i + 0*i = 4*v - 96. Calculate the remainder when w is divided by i.
27
Suppose 123*h + 109*h = 201*h + 48608. What is the remainder when h is divided by 45?
38
Suppose 24*w - 10 = 22*w, 0 = -5*h + 4*w + 9845. Calculate the remainder when h is divided by 42.
41
Suppose 14766*g + 2228 = 14768*g. What is the remainder when g is divided by 276?
10
Let j be ((-9)/6)/(2/(-20)). Suppose -j - 15 = -5*k. Suppose -v - 360 = -k*v. Calculate the remainder when v is divided by 25.
22
Suppose 0 = u + 6*w - 402, 4*u - 5*w - 1009 = 512. What is the remainder when u is divided by 98?
90
Suppose 4*j = 8, 3*s - 94 = s - 2*j. Calculate the remainder when s is divided by 17.
11
Let t(z) = -z**3 + 3*z**2 - 6*z - 27. Let i be t(5). What is the remainder when (-1)/(1/1)*i is divided by 27?
26
Let m be 2*2 - (7 + -8). Let w(a) = a**3 - 4*a**2 - 3*a. Let t = -24 - -63. What is the remainder when t is divided by w(m)?
9
Suppose -2*x + 4 = 0, 0 = -5*g + 2*x - 166 - 173. Let w = g + 86. What is the remainder when 106 is divided by w?
11
Suppose 0 = -18*u + 20*u - 80. Let x = -72 - -140. What is the remainder when x is divided by u?
28
Suppose -11 = -z + x + 44, -4*z - 3*x + 213 = 0. Let q = z + -70. Let c = -7 - q. What is the remainder when 17 is divided by c?
8
Let j(o) = -90*o - 876. Suppose -116 - 70 = -2*i. Calculate the remainder when i is divided by j(-10).
21
Suppose -16*z + 5*z = -1705. Suppose -2*u = -z + 5. What is the remainder when 223 is divided by u?
73
Let q = -4 + 8. Let v(j) = -4*j**3 + 2*j**2 + 7*j - 2. Let u be v(-2). Suppose q*a - 2*a - u = 0. What is the remainder when a is divided by 3?
0
Let o = -16868 - -16911. Let u = -50 - -72. Let h = u + -13. What is the remainder when o is divided by h?
7
Let z = -183 - -183. Suppose z = 33*n - 20 - 871. What is the remainder when 211 is divided by n?
22
Let v(i) = 40*i**3 + 278*i**2 + 223*i - 4. Suppose -3*f - 54 = -732. What is the remainder when f is divided by v(-6)?
18
Suppose -4*y + 5*j + 130 = 0, 27*y - 31*y - j = -142. Calculate the remainder when 419 is divided by y.
34
Let y(g) = -14*g**3 - 141*g**2 - 14*g - 31. Let p = 5 - -3. Suppose z = -p + 22. What is the remainder when z is divided by y(-10)?
5
Suppose -4*o + p = 112 + 135, -4*o + 3*p - 237 = 0. Let g = 69 - o. Calculate the remainder when g is divided by 45.
42
Let g = 303 - 283. Calculate the remainder when 136 is divided by g.
16
Let h(i) = -3*i - 5. Let d(g) = -16*g - 32. Let k(x) = -x**2 - x + 1. Let a be k(-3). What is the remainder when d(a) is divided by h(-5)?
8
Suppose 12*s - 10*s = -4*m + 838, -2*m + 1676 = 4*s. What is the remainder when s is divided by 84?
83
Let n = 226 - 423. Let z = -34 - n. Let o = -48 + 90. What is the remainder when z is divided by o?
37
Let z be (278/(-4))/((-2)/(-4)). Suppose l + 3*t = -112, 2*l - l + 122 = -5*t. Let x = l - z. Calculate the remainder when 