te the remainder when 231 is divided by m(-6).
15
Suppose -2*f = -3*i, f + 4 = 5*f - 5*i. Let q(a) = -12*a**2 - 4*a - 2. Let k be q(-2). Let w = f - k. Calculate the remainder when w is divided by 13.
9
Let g(o) = 2*o**2 - o - 1. Suppose -10*w + 72 = -48. What is the remainder when g(-4) is divided by w?
11
Suppose 0 = -3*b - 12, p = -b + 367 - 15. What is the remainder when p is divided by 124?
108
Suppose -1329 = -19*b + 1483. What is the remainder when b is divided by 50?
48
Let x(j) = -9*j. Let f be x(2). Let o = -16 - f. What is the remainder when (-1)/(-1*o/58) is divided by 10?
9
Suppose 136 = t - 3*w, 5*w + 68 - 490 = -3*t. Let p = t + -45. What is the remainder when p is divided by 24?
22
Let n = 129 - 71. Suppose 0 = -p - 3*p + 24. Calculate the remainder when n is divided by p.
4
Let j = -106 + 120. Calculate the remainder when j is divided by (-10)/45 - 112/(-18).
2
Let h(b) = 2*b + 4. Let n be h(-3). Let p = -8 + 30. What is the remainder when n/(-4) - (-346)/4 is divided by p?
21
Suppose 2 = 5*s - 18. Suppose 2*y = -4*f + 170, 0*f + s*y = 4*f - 140. Calculate the remainder when f is divided by 16.
8
Let p(g) = 5*g + 66. Calculate the remainder when -2 + 32 - 2/(-1) is divided by p(-11).
10
What is the remainder when 154 is divided by (-44)/(-1) + (-4 - -5)?
19
Let p(q) = -5*q**3 - q**2 + q - 1. Let g be p(1). Suppose 0 = 5*b - 0*b - 75. Calculate the remainder when b is divided by (-12)/8 - 33/g.
3
Let n(h) = h**3 + 6*h**2 + 2*h - 4. Let a(p) = -2*p - 10. Let b be a(-5). What is the remainder when n(-4) is divided by (b + 7)*(18/21)/1?
2
Let d be 3 + (16/(-3))/(6/(-63)). Suppose -143 = -4*n + g, -2*g = -2*n + g + d. Calculate the remainder when n is divided by 20.
17
Let t = -180 - -478. What is the remainder when t is divided by 25?
23
Suppose 2*k + 5*g + 10 = 0, -g = -5*k + 5 + 24. What is the remainder when 12 is divided by k?
2
Suppose 504 - 108 = 4*p + 2*b, p + 2*b - 99 = 0. What is the remainder when p is divided by 24 - (2 + -1 + -2)?
24
Let b(c) = -c**2 + 12*c - 24. Let w be b(11). Let f(p) = -p - 1 + 8 + 11 - 6*p. Calculate the remainder when f(w) is divided by 28.
25
Suppose 97 = 3*g - 5*o, -2*o - 7 = 4*g - 145. Calculate the remainder when g is divided by 9.
7
Let w be ((-95)/(-30) - 3) + (-446)/12. Let c = -23 - w. What is the remainder when 26 is divided by c?
12
Suppose -5*s - 12 = -37. Suppose 100 = s*q - 45. Let k(v) = 6*v - 250. What is the remainder when k(51) is divided by q?
27
Suppose 0 = -l + 2 + 7. Let h be (6/15)/((-2)/(-20)). What is the remainder when -2 - -26 - h/(-4) is divided by l?
7
Let h(c) = 6*c**2 - 6*c - 5. Let f be h(5). Suppose -10*i + f = -95. Calculate the remainder when 125 is divided by i.
20
Let v be 5/(2*4/8). Suppose 7 = -2*y - v. Let x(p) = p**2 + 3*p + 1. Calculate the remainder when 54 is divided by x(y).
16
Let u = 54 + -49. Suppose 2*v + 182 = 2*k, 0 = u*k + 5*v - 746 + 281. Calculate the remainder when k is divided by 24.
20
Suppose -932 = -42*m - 260. What is the remainder when 30 is divided by m?
14
Let a(p) = -4*p**2 - 8*p - 17. Let o(w) = -w**2 - w - 1. Let y(z) = -2*a(z) + 6*o(z). What is the remainder when y(-4) is divided by 8?
4
Let m(b) = 2*b**2 - 2*b - 5. Suppose 3*c + 7 = -p + 59, 3*c = -4*p + 46. What is the remainder when m(-4) is divided by c?
17
Suppose -39*i = -1753 - 236. What is the remainder when i is divided by 35?
16
Suppose 4*z + 16 = -2*u, -2*u + 4*z = -0*u + 32. Let i(t) = -t**2 - 15*t - 25. What is the remainder when 41 is divided by i(u)?
8
Suppose -8*d + 15 = -5*d. Suppose -2*c - k + 209 = -4*k, c = d*k + 101. Calculate the remainder when c is divided by 36.
34
Let o(b) = -b**3 - 16*b**2 + 4*b + 71. Let a be (-21)/(-15) + (-4)/10. What is the remainder when o(-16) is divided by (-5 - -2)/(-2 + a)?
1
Let x(b) = -4*b**2 - 9*b + 37. Let t(w) = -3*w**2 - 6*w + 25. Let m(z) = -7*t(z) + 5*x(z). What is the remainder when m(4) is divided by 8?
6
Suppose 0 = 2*g - 0 + 646. Let i be 8/(-20) - g/(-5). Let b = -30 - i. Calculate the remainder when b is divided by 12.
11
Let t(s) = -2*s**3 + 2*s + 58. What is the remainder when 175 is divided by t(0)?
1
Let l(v) = v**3 - 13*v**2 + 25*v - 225. What is the remainder when l(13) is divided by 46?
8
Suppose -3*y - 4*u = -8, -64*y + 60*y - u + 28 = 0. Suppose 5*h + 0 = 35. What is the remainder when y is divided by h?
1
Let h = 27 - 25. Suppose 0 = 9*d - 10*d - h. What is the remainder when 44 + 7 + -1 + d is divided by 17?
14
Let n be -1*(4 + -3 + -25). Let j be (n/(-10))/((-2)/(-10)). Calculate the remainder when (1/1)/(j/(-348)) is divided by 15.
14
Let d(h) = -h**3 + 18*h**2 + 18*h + 58. Suppose a = -2*a + 342. What is the remainder when a is divided by d(19)?
36
Let a be (-5 + 7)/((-3)/9). Let s(j) = -j**3 - 5*j**2 + 6*j + 3. Calculate the remainder when 4 is divided by s(a).
1
Let w(r) = -60*r + 21. Calculate the remainder when -2 + (-1 + -1 - -84) is divided by w(0).
17
Let k = -485 - -492. Calculate the remainder when 20 is divided by k.
6
Let x be (-2)/(2/2) - -22. What is the remainder when 3 + (x/5 - -31) is divided by 20?
18
Suppose -t = -2*c - 6, -3*t + 7 = -3*c - 14. What is the remainder when t is divided by 8?
0
Let i(p) be the third derivative of 0*p + 4*p**2 + 2/3*p**3 + 0 + 1/24*p**4. Calculate the remainder when 50 is divided by i(9).
11
Suppose -2*g = 4*s - 88, 72 = 8*s - 4*s - 2*g. Suppose -4*f - 4*k = -48, -4*k = -0*f + f - 12. Calculate the remainder when s is divided by f.
8
Let n be (-2 + (-765)/(-10))/(1/(-2)). Let i = n - -173. What is the remainder when 42 is divided by i?
18
Let k = -43 - -71. Suppose -3*z = -n - 1, -3*n - 4*z + k = n. Suppose 24 = -n*l + 99. Calculate the remainder when 42 is divided by l.
12
Suppose 5*h = 0, 13*u = 8*u + 2*h + 105. Calculate the remainder when 39 is divided by u.
18
Let d(r) be the first derivative of -r**3/3 + 15*r**2/2 - 6*r - 5. What is the remainder when 56 is divided by d(12)?
26
Suppose -5*q - 2*j + 298 = 0, q + 3*q - 212 = 5*j. Let g = q + -52. What is the remainder when 23 is divided by g?
5
Suppose 14*q = -35 + 189. Calculate the remainder when 217 is divided by q.
8
Let p = 11 + -7. Let z(n) = -n**2 + 10. Let o be z(-3). What is the remainder when o/(-3 + (-172)/(-56)) is divided by p?
2
Suppose 0 = 9*h + 579 - 1731. What is the remainder when h is divided by 41?
5
What is the remainder when 566 is divided by (-23 - -22) + -2*9/(-2)?
6
Let z be ((-100)/(-15))/((-2)/(-3)). Suppose 4*n + 2*d = -43 + 223, 0 = -3*n + 3*d + 153. Calculate the remainder when n is divided by (z/(-15))/((-5)/90).
11
Suppose -9*c + 0*c + 729 = 0. What is the remainder when c is divided by 28?
25
Suppose -x + 68 = -14. Let h = -165 + 177. What is the remainder when x is divided by h?
10
Calculate the remainder when 178 is divided by 94/4*(-30 + 32).
37
Let z = 295 + -204. Let x(p) = 6*p**2 - 1. What is the remainder when z is divided by x(-2)?
22
Suppose 0 = -13*f + 10*f - 6, 454 = 9*d - 2*f. Let b = 12 - -8. Calculate the remainder when d is divided by b.
10
Calculate the remainder when 9 - (3 + -1) - (-1325)/5 is divided by 25.
22
Let y(i) = -11*i - 81. Calculate the remainder when 169 is divided by y(-10).
24
Let q(i) = -i**2 + 9*i - 4. Let g be q(8). Let u = 45 - 29. What is the remainder when u is divided by 34/g - (-1)/2?
7
Let o(l) = -2*l**2 - 7*l + 19. Let r be o(-7). Let u = -13 - r. What is the remainder when u is divided by 6?
5
Suppose -2*p + 2*l - 434 = 0, -5*l + 10 = 35. Calculate the remainder when (0 + 3)*p/(-9) is divided by 19.
17
Let x = 1368 - 1288. What is the remainder when x is divided by 39?
2
Let n = 109 - 76. Suppose 67 = 5*x - n. Calculate the remainder when 79 is divided by x.
19
Suppose r - 4*j + 5 = 0, 4*r + r = -5*j + 75. Suppose k - 18 = -2*x, -r*x + 14*x - 2 = k. What is the remainder when 15 is divided by k?
5
Suppose 3*n = -n - 80. Let t = n - -26. Let s(y) = -2*y - 4. Calculate the remainder when s(-7) is divided by t.
4
Let c = 911 - 434. What is the remainder when c is divided by 32?
29
Suppose -4*h - 1646 = -4*j + h, -2*j + 2*h = -824. What is the remainder when j is divided by 52?
50
Let y(z) = -4*z - 1. Let f be y(-2). Suppose 704 = v + f*v. Calculate the remainder when v is divided by 18.
16
Let o(z) be the second derivative of