te the remainder when n is divided by u.
49
Let b(u) be the second derivative of u**5/20 + u**4 + 13*u**3/3 - u**2/2 + 6*u + 1. What is the remainder when 14 is divided by b(-9)?
6
Suppose 7*o - 43670 = 414*o - 114081. Calculate the remainder when 332 is divided by o.
159
Let f = 762 - 759. Suppose -3*k = f*h - 375, 0 = 4*h + 2*k - 721 + 211. What is the remainder when h is divided by 50?
30
Suppose -5*j - 2*h = 160, -j + 4*h + 15 = 47. Let a = 27 - j. Suppose 3*z = -b - 14, -3*z - 71 + 47 = 0. Calculate the remainder when a is divided by b.
9
Let a(i) = -i**3 + 15*i**2 + 15*i + 19. Let y be a(16). Calculate the remainder when 17 is divided by y/(42/(-8))*(-357)/34.
5
Let c(i) = 22*i**2 - 180*i - 20. Calculate the remainder when c(9) is divided by 7.
2
Suppose 24*z - 5208 = -7*z. What is the remainder when 662 is divided by z?
158
Suppose -l = -k - 29, -10*l + 277 = 21*k - 18*k. Let r(y) = 2*y**2 - 5*y + 8. Suppose 2*n = -n - 18. Calculate the remainder when r(n) is divided by l.
26
Suppose 91*w + 19*w - 5390 = 0. What is the remainder when 1579 is divided by w?
11
Suppose 0 = 2*h + 5*y + 14, h + 2*y - 14 = 3*h. Let w(o) = 24 - 3*o - o**2 - 15 - 3*o. Calculate the remainder when w(h) is divided by 1.
0
What is the remainder when 2 - 4 - -13*(495/9 + 3) is divided by 375?
2
Let a = -95 - -98. Suppose 140 = 287*s - 277*s. What is the remainder when s is divided by a?
2
Let x(c) = 14*c + 617. Let q be x(0). Let o = -577 + q. What is the remainder when o is divided by 27?
13
Let c = 27 + -17. Let f(o) = -o + 39 + c*o + 7*o. What is the remainder when f(8) is divided by 43?
38
What is the remainder when 1946 - (-12 - -6)*(-6)/36 is divided by 4?
1
Let c be ((-2 - 18)/(-4))/1. Let i(v) = -3 - v + c*v + 13. Calculate the remainder when i(8) is divided by 9.
6
Let m(s) = -s**3 - 7*s**2 + 25*s - 20. Let d(l) = 2*l**2 + 3*l - 6. Calculate the remainder when d(5) is divided by m(-10).
29
Let c be -5 - ((-4 - 103) + -6). Suppose -6*k = -15*k + c. What is the remainder when 13 is divided by k?
1
Suppose -5*x = -2*p + 55, 6*p - 9*p + 142 = x. What is the remainder when 662 is divided by p?
32
Let t(d) = 2*d**3 - 48*d**2 - 45*d - 52. Calculate the remainder when 435 is divided by t(25).
70
Suppose 237*m - 242*m = 4*z - 330, 0 = -2*z - 4*m + 162. Calculate the remainder when 105 is divided by z.
20
Let u(i) = 40*i**2 - 40*i - 80. Suppose 4*y = 60 + 48. What is the remainder when u(-2) is divided by y?
25
Let y = -4476 - -4641. Calculate the remainder when y is divided by 5.
0
Suppose 4*g = -q - 27 + 131, g = 4*q + 26. What is the remainder when g is divided by 16?
10
Calculate the remainder when 2421 is divided by (2 + 2)*41123/68.
2
Let z = 7 - -18. Let f = 522 - 424. Calculate the remainder when f is divided by z.
23
Let q(p) = 2084*p**2 - 34*p - 5. Calculate the remainder when q(1) is divided by 108.
101
Let g(r) = 10*r - 1. Let k be -5 - (-4)/2 - -4. Calculate the remainder when g(2) is divided by -1 + 8 - 4*k/4.
1
Suppose 15*d = -47*d + 3844. What is the remainder when 451 is divided by d?
17
Suppose -2*g = -f + 4117, f - 3*g = 604 + 3508. What is the remainder when f is divided by 86?
85
Let t be 12/90 - (-6)/(-45). Suppose 4*l - 20 = -4*h, t = -3*h + 4*l + 9 + 6. Suppose 9*b - h*b - 36 = 0. What is the remainder when 20 is divided by b?
2
Suppose 58*m - 200*m = -337392. Calculate the remainder when m is divided by 39.
36
Suppose 3*n - 198 = -4*g + 69, 2*n - 181 = -3*g. Calculate the remainder when n is divided by 28.
21
Let j(w) = 852*w**3 + 11*w**2 - 11*w + 1. What is the remainder when j(1) is divided by 122?
121
Suppose 1469 = 343*d - 330*d. Suppose -4*a + g = -50 - 57, -5*g = 4*a - d. Calculate the remainder when 107 is divided by a.
26
Suppose -2*c + 382 = 31*k - 35*k, -578 = -3*c + 5*k. Let p = c + -197. What is the remainder when 11 is divided by p?
3
Let c = 307 - 311. Calculate the remainder when 1/(-3) - c/12*1963 is divided by 82.
80
Let p be ((-18)/2 - -11) + -8. What is the remainder when 6/(-1) - 348/p is divided by 45?
7
Let d(v) be the second derivative of -v**5/20 - 5*v**4/12 - 4*v**3/3 - 55*v**2/2 + 159*v. What is the remainder when 141 is divided by d(-6)?
25
Suppose -158*c = 4441 + 436 - 22889. What is the remainder when 192 is divided by c?
78
Let w(n) = 5*n**3 + 122*n**2 - 20*n + 21. What is the remainder when w(-10) is divided by 256?
253
Let z = 53 - 31. Let o(y) = -8*y**3 + 3*y**2 - 4*y - 1. Let u be o(-4). Suppose u = 9*r - 208. What is the remainder when r is divided by z?
21
Suppose 0 = -3*u - 3*s + 38 + 28, 0 = s. What is the remainder when u is divided by 18?
4
Suppose -6*z + 5018 = 5*u - 5*z, -4*u + z = -4009. Calculate the remainder when u is divided by 282.
157
Suppose c - 4 = 0, 0 = x - 2*x + 2*c - 8. Let t be (x + 242)*((-42)/12 + 3). Let j = -85 - t. What is the remainder when 140 is divided by j?
32
Suppose -3*t + 5*t = 26. Let l(v) = -13*v - 44. Suppose 0 = w - 0*y - 4*y + 7, -5*w = 4*y + 35. Calculate the remainder when l(w) is divided by t.
8
Let b(k) = k**3 - 6*k**2 + 2*k + 5. Let f = 18 - 12. Let x be b(f). Suppose 0 = -4*a + x - 1. What is the remainder when a is divided by 3?
1
Let i = 270 - 164. What is the remainder when i is divided by 3/(-2)*((-3820)/105 - (-92)/(-322))?
51
Let x = 1313 - 1186. What is the remainder when 615 is divided by x?
107
Suppose -3554 = -3*t + 1801. Suppose -t = -5*b - 5*d, d = -5*b - 2*d + 1775. Let l = b + -204. What is the remainder when l is divided by 38?
34
Let j(c) = 36*c**2 - 12*c. Let p = 160 - 161. Calculate the remainder when 221 is divided by j(p).
29
Let s = -226 + 747. What is the remainder when s is divided by 27?
8
Let h = -4348 + 4556. Calculate the remainder when 421 is divided by h.
5
Let l be (-15)/(-20) + (-8181)/12. Calculate the remainder when (1 - 5/3)/(2/l) is divided by 57.
56
Let a(c) = -37*c**3 + 4*c**2 - 33*c - 34. What is the remainder when 556 is divided by a(-1)?
36
Suppose -22 + 42 = 5*l. Calculate the remainder when 25 - 1 - (12/1)/(-4) is divided by l.
3
Let v(a) = 17*a + 6. Let l(z) = 3. Let w(m) = -3*l(m) - v(m). What is the remainder when w(-4) is divided by 8?
5
Suppose 5*v + 8 = -4*f, 2*f + 7 = -4*v + 3. Suppose v = x - 17 - 23. What is the remainder when x is divided by 6?
4
Let p = -66 + 133. What is the remainder when p is divided by (-19)/38 - 2/((-8)/70)?
16
Suppose 99 = -2*b + 101. Calculate the remainder when b/(1/(-12)*-3) is divided by 2.
0
Let n(b) = -43*b**3 + b**2 + b + 1. Let l be n(-1). Suppose -17*y + 19*y - l = 0. Calculate the remainder when 167 is divided by y.
13
Let v(c) = -11*c + 104. Let g(q) = 20*q - 209. Let m(i) = 3*g(i) + 5*v(i). What is the remainder when 75 is divided by m(24)?
10
Let s(p) = -p**2 + p + 467. Let v(u) = 2*u**2 + 302*u - 13860. What is the remainder when s(0) is divided by v(-188)?
51
Let i be (-7 - -4) + 5 + (-1 - -63). Suppose -5*m - 9 = 5*b - 219, -3*b - i = -2*m. What is the remainder when 149 is divided by m?
35
Suppose 2*i - 4*b - 26 = -6, 3*i - 30 = 4*b. What is the remainder when 19 - (0/(-1) + 1) is divided by i?
8
Let t = -77 - -96. Let z = t - -19. Calculate the remainder when 151 is divided by z.
37
Suppose -3*w = 32*v - 30*v - 94, 5*v - 165 = -5*w. Calculate the remainder when 7081 is divided by w.
25
Suppose -208*u = -153*u - 935. Let z = -235 - -453. Calculate the remainder when z is divided by u.
14
Let q = -307 + 244. Let h = -151 + 85. Let o = q - h. Calculate the remainder when o is divided by 1.
0
Calculate the remainder when -2 + (-8)/4 + 1 + 640/2 is divided by 156.
5
Let t(h) = h**2 - 31*h + 131. Let d be t(5). Calculate the remainder when 185 is divided by ((1 - d) + -57)*52/(-78).
33
Suppose -4*i - 5*s = -257, -4*s = i + 752 - 808. Calculate the remainder when 2036 is divided by i.
64
Suppose -7 = -n - 8. Calculate the remainder when 74 is divided by 19 + -1 + 18 - (1 + n).
2
Suppose 302*s = 297*s + 40. Let m(n) = -n**3 + 11*n**2 - 11*n + 7. Let b be m(10). Let k = s + b. What is the remainder when 8 is divided by k?
3
Let q = -936 + 1335. What is the remainder when q is divided by 132?
3
Suppose 25*z - 9*z = 544. Let g be 2240/12 - 2/(-6). Suppose -b + 672 = 5*x, -b - 221 - g = -3*x. Calculate the remainder when x is divided by z.
33
Suppose 4 + 6 = 5*y, 3*q - 3*y - 68