= -b**3 + 4*b**2 + 8*b - 3. Suppose -4*p - r + 145 = 0, -78*p - 4*r = -75*p - 99. Calculate the remainder when p is divided by j(5).
1
Suppose -4*v + w + 854 = 0, -v = 4*w - 136 - 86. Suppose -1452 = 27*g - 74*g + 1086. Calculate the remainder when v is divided by g.
52
Let o(p) = -215*p - 4. Let j(i) = -i**3 - 45*i**2 + 40*i - 232. Calculate the remainder when o(-1) is divided by j(-46).
35
Suppose -o - 1296 = -30*o + 2*o. Calculate the remainder when 1/(-1 + (-576)/(-573)) is divided by o.
47
Suppose 30*q - 1485 + 315 = 0. What is the remainder when q is divided by (-284)/(-10) - 4/10?
11
Suppose d = -w - 62 + 292, -2*w + 440 = -2*d. Calculate the remainder when 1794 is divided by w.
219
Suppose -152 = -5*y + 3*r + 32, -5*r = 15. Suppose 31*k - 30*k + 123 = 0. Let s = k - -147. What is the remainder when y is divided by s?
11
Let b(f) be the third derivative of f**4/24 + 25*f**3/6 + 15*f**2 + f. What is the remainder when 72 is divided by b(-4)?
9
Let h = 717 + -502. Let j = h - 92. Let q(g) = 19*g**3 - g**2 - g + 1. What is the remainder when j is divided by q(1)?
15
Suppose 9*x - 11*x = -6. Suppose -x*t - 8 = -5*t. Calculate the remainder when 17 is divided by t.
1
Let d(f) = f**3 + 15*f**2 - 124*f - 1710. Let j(h) = -h**2 + 13*h + 13. What is the remainder when j(9) is divided by d(-16)?
13
Let n be 7/((-196)/(-24))*(-63)/(-18). Suppose 160 = 2*k + 4*w, -3*k + 2*w + 260 = n*w. Calculate the remainder when k is divided by 21.
4
Suppose 5*r + 16*h + 1192 = 14*h, 5*r = -4*h - 1184. What is the remainder when 321 is divided by 442/8 - r/(-192)?
51
Let z(w) = w**3 + 11*w**2 + 24*w + 75. What is the remainder when 104 is divided by z(-8)?
29
Suppose 0 = 7*q - 10*q. Suppose m + v - 32 = 0, -2*m + 2*v = -q*v - 68. What is the remainder when m is divided by 312/30 + 36/(-90)?
3
Let o(d) = -d**3 - 8*d**2 + 19*d + 14. Let p be o(-9). Let n = p + 90. Calculate the remainder when n is divided by 4.
2
Let t(a) = -7*a - 30. Let h be t(-5). Suppose 0 = 4*c - 4*n - 212, -h*n + 275 = 10*c - 5*c. Calculate the remainder when c is divided by 14.
12
Let o be ((-6)/(-4)*(-6 - 4))/1. Let r be -1*(-5)/o*0. Suppose -5*i - 2*i + 399 = r. Calculate the remainder when i is divided by 15.
12
Let c(i) = 37*i + 2591. What is the remainder when 230 is divided by c(-64)?
7
Let k(j) = 196*j**2 + 31*j - 23. What is the remainder when k(4) is divided by 90?
87
Let v(u) = 114*u - 60*u - 65*u + 8. Suppose -b + 3*b - 4*m = 36, -4*m + 118 = 5*b. What is the remainder when v(-3) is divided by b?
19
Let m(o) = o**2 + 32*o + 334. Calculate the remainder when m(-25) is divided by 81.
78
Let g = 215 + -212. Suppose -2*n - 4*m = m - 23, 0 = 2*n - g*m - 31. Calculate the remainder when 83 is divided by n.
13
Suppose 5*o = -56 + 491. What is the remainder when o is divided by 18/297 - 3156/(-198)?
7
Let j(c) = -c**3 - 32*c**2 - 40*c - 148. What is the remainder when j(-31) is divided by 48?
35
Let u = 234 - 149. Calculate the remainder when u is divided by ((-48)/(-9)*-3)/(1/(-2)).
21
Suppose 5*q - 5*g = -g - 133, -5*q - 2*g - 121 = 0. What is the remainder when 108 is divided by (6/(-5))/(1/q)?
18
Let r(q) = -q**2 - 2*q + 33. Suppose 41 = 4*s + 25. What is the remainder when 16 is divided by r(s)?
7
Suppose 0 = 5*t - 95 - 300. Suppose -5*c = 4*r - 2153, c + 8 - 1077 = -2*r. Let n = r - 516. Calculate the remainder when t is divided by n.
15
Let k(d) = -127. Let j(f) = -f + 379. Let z(w) = 3*j(w) + 8*k(w). Calculate the remainder when z(29) is divided by 21.
13
Let g = -178 - -181. Calculate the remainder when 192 is divided by ((-21)/6)/(g/(-42)).
45
Suppose 0 = -10*w + 13*w - 3*x - 126, x = -2*w + 96. What is the remainder when 870 is divided by w?
42
Suppose 0 = -2*x - 3*r + 113, 37*x - 35*x - 122 = -6*r. Calculate the remainder when 9878 is divided by x.
50
Suppose 4*v - 4*n + 19 - 367 = 0, -4*n = 5*v - 444. What is the remainder when 93 is divided by v?
5
Suppose 8*f + 180 = 12*f. Suppose -17*h - f + 232 = 0. What is the remainder when 172 is divided by h?
7
Suppose -24*q = -23*q - 7. Let j(s) = -s - 6. Let n be j(-4). What is the remainder when q is divided by (0 + (-28)/8)*n?
0
Let y(w) = -w**3 + 25*w**2 - 25*w + 28. Let q be y(24). Suppose -5*j - 1 = 5*v - 36, q*v - 5*j = 37. Calculate the remainder when v is divided by 5.
3
Let n = 347 + -121. Let f = n - 213. Calculate the remainder when 75 is divided by f.
10
Let y(p) = -2*p - 5. Let i be y(-6). Suppose r = i*r. Suppose -2*l + 20 + 158 = r. What is the remainder when l is divided by 15?
14
Let k(q) = q**3 + 6*q**2 - 7*q + 3. Let t be k(-7). Suppose j - 1 = 0, 0*j - t*j + 431 = 4*w. What is the remainder when w is divided by (6 + -3)*9/6*2?
8
Suppose -2*n = -9 + 5. Suppose -3*d + 26 = 4*x + n*d, 5*x - 35 = -5*d. What is the remainder when 34 is divided by x?
7
Let p be ((-517)/22)/(2*(-3)/36). Let q = 263 - p. What is the remainder when q is divided by 38?
8
Suppose 0 = -175*t + 1941 - 191. Suppose -c = -a + 65, -4*c + 10 + 2 = 0. What is the remainder when a is divided by t?
8
Let q(l) = 8*l**2 + 3*l + 1. Let k = -58267 - -58309. Calculate the remainder when q(3) is divided by k.
40
Let r be 1536/6 - (0 - (3 + -2)). Suppose -4*n + 2*o = -o - r, 4*n - 263 = -3*o. What is the remainder when n is divided by 18?
11
Let g(x) = x + 36. Let c be g(-34). Suppose -u = -0*u - 4. Suppose 196 = 2*s + c*a, u*s - 2*a + 7*a - 394 = 0. What is the remainder when s is divided by 25?
21
Let h(u) = -79*u**2 + 16*u - 6. Let w be h(2). Let n = 107 - 31. What is the remainder when n is divided by 78/(-5)*w/116?
37
Suppose -q + 183 = -0*i - 3*i, -3*q + 569 = i. Let g(s) = 66*s**2 + 43*s + 25. What is the remainder when q is divided by g(-1)?
45
Let w(b) = -4*b + 40. Let f be w(9). Suppose 2*t - 28 + f = 0. What is the remainder when 118 is divided by (-8)/t - -1 - 59/(-3)?
18
Let z(y) = y**3 - 48*y**2 - 48*y - 9. Let w(o) = 2*o**2 - 2*o - 18. Calculate the remainder when z(49) is divided by w(4).
4
Let i = 316 + -299. Suppose -5*z + 30 = 2*d, -5*z - 3*d = -i - 18. What is the remainder when z is divided by 2?
0
Suppose -2*k = -z - 296, -7*k - 1598 = -18*k - 2*z. What is the remainder when k is divided by 136?
10
Let c(i) = 17*i**2 + 13*i - 198. Calculate the remainder when c(9) is divided by 163.
155
Suppose 0 = -t - 4*z + 937, -2*t + 74*z + 1973 = 71*z. What is the remainder when t is divided by 197?
185
Let k(z) = 2*z**3 + 35*z**2 - 29*z - 77. Let y(o) = o**3 + 1. Let g(u) = k(u) - 3*y(u). Calculate the remainder when 449 is divided by g(34).
89
Let d(m) be the third derivative of -m**5/30 - m**4/6 + 43*m**3/6 + 25*m**2 - m. Calculate the remainder when 168 is divided by d(0).
39
What is the remainder when 1055 is divided by (-91)/(-13) + -19 - -78?
65
Let x(j) = -5*j - 56. Let w(b) = -b**3 - 2*b**2 - 27*b - 180. Calculate the remainder when x(-23) is divided by w(-5).
29
Let g(b) = b**3 + 8*b**2 - 6*b - 26. Let p be g(-8). Suppose 0 = -18*k + p*k - 2*n - 60, 36 = 2*k - 4*n. What is the remainder when 54 is divided by k?
12
Suppose -5*j - 10 = 5*r + 5, -4*j - 12 = 5*r. Suppose 24*f - 6554 + 2546 = r. What is the remainder when f is divided by 34?
31
Suppose -38*j - 65*j - 30*j + 4256 = 0. Suppose v - 7 = -0*v. Calculate the remainder when j is divided by v.
4
Let x be -5*(-2 + 7)*(-6)/10. Calculate the remainder when 5/(5/358)*(-14 + x) is divided by 72.
70
Suppose 2*j - 57 = 79. Let q = -91 + -57. Let v = q - -171. Calculate the remainder when j is divided by v.
22
Suppose -6*m - 658 = -4906. Calculate the remainder when m is divided by 701.
7
Suppose -2*t = -34*v + 31*v + 107, -v = 2*t - 41. Suppose -5*k + 4*k - 4*r = -v, -131 = -3*k - 2*r. What is the remainder when k is divided by 30?
15
Let s(n) = 1503*n + 10527. What is the remainder when 102 is divided by s(-7)?
0
Suppose 26*d = 3*y + 23*d - 27252, -2*y + 6*d = -18196. What is the remainder when y is divided by 227?
224
Let d be (-4)/42 + 4376/84. Calculate the remainder when (-1)/4 - 267/(-12) is divided by (-2)/4 + (-7)/((-56)/d).
4
Let l(s) = -s**3 + 5*s**2 - 2*s - 5. Let i be 578/8 - (-4)/(-16). Suppose 16*a = -2*a + i. What is the remainder when 22 is divided by l(a)?
1
Let v(w) = -w**2 - 34*w - 178. Let u be v(-21). Suppose 5*y + 22 = f + 3, y - u = -5*f. Calculate the remainde