late the remainder when k(-4) is divided by 14.
7
Let a(s) = -241*s + 2755. What is the remainder when 471 is divided by a(11)?
55
Suppose -17*z + 1075 = 89. Calculate the remainder when (12/(-8))/((-1)/z) is divided by 25.
12
Calculate the remainder when 397 is divided by (36/(-48))/((-11)/3476).
160
Suppose -55*s - 233 = -398. What is the remainder when 846 is divided by s?
0
Let c = 818 + -389. Let k(n) = -n**3 - 5*n**2 + 10*n + 15. Calculate the remainder when c is divided by k(-7).
42
Let j = 562 + -558. Suppose j*c - 54 = 2*m, 5*m - 4 = 2*c - 11. What is the remainder when 93 is divided by c?
13
What is the remainder when 53 is divided by (5 - ((-40)/5 + 14))*-17?
2
Suppose -4*x = -6*x + 3*u + 14, -5*u + 14 = 2*x. Suppose -2*b + 3*k + 262 = 0, -4*k = 3*b - x*b + 520. What is the remainder when b is divided by 33?
29
Let z = 248 + -179. Let t(r) = 17*r + 1. What is the remainder when z is divided by t(1)?
15
Suppose -412 = -5*l - m - 337, -l + 3*m = -31. Let t = 8 + 117. Calculate the remainder when t is divided by l.
13
Suppose 11*h - 666 = 1160. Let m = 205 - h. Calculate the remainder when 155 is divided by m.
38
Calculate the remainder when 2645 is divided by ((-3024)/684)/(12/(-114)).
41
Suppose 2*i + 572 = 2*a, -5*a - 496*i + 1444 = -494*i. What is the remainder when a is divided by 5?
3
Suppose 248 = -5*y + 5*c - 422, 638 = -5*y - 3*c. Let p = y - -201. Calculate the remainder when p is divided by 24.
23
Let r(x) = 153*x - 8917. Calculate the remainder when r(59) is divided by 36.
2
Let n = 9 + -1. Suppose 5*h = 10, 4*c + 268 = 3*c + 5*h. Let q = c - -260. Calculate the remainder when n is divided by q.
0
Let j(s) = 3*s + 10. Let k be j(-2). Suppose -k*g + 123 = -5*l - 65, g - 4*l - 47 = 0. Calculate the remainder when g is divided by (-675)/(-105) + 9/(-21).
5
Suppose 6*i = -0*i + 30. Suppose x = 2*x - i*a - 118, -5*a + 191 = 2*x. Let v = x + 38. What is the remainder when v is divided by 48?
45
Suppose 197 = x - q, x - 588 = -2*x + 2*q. Let j = x + -183. What is the remainder when j is divided by 5?
1
Let g(p) be the second derivative of -p**3/3 - 9*p**2 + 150*p. What is the remainder when 19 is divided by g(-15)?
7
Let g = 135 - 130. Suppose 4*j = -6 + 162. Calculate the remainder when 1 + 2 - (-157 + g) is divided by j.
38
Suppose 2*t + 137 + 109 = 0. Let o = t + 133. Calculate the remainder when o is divided by 3.
1
Let z = 1802 + -1683. Let v(d) = 3*d. Let a be v(6). What is the remainder when z is divided by a/(-9) - 43/(-1)?
37
Suppose -w + 5 = -x + 4, 2*x - 7 = -w. Suppose 2*t - 7 = 3*m, x*m = 3*t - 3 + 5. Let j(f) = -f**2 - 9*f - 8. Calculate the remainder when j(t) is divided by 6.
0
Let f(d) = -3*d**3 - 20*d**2 + 27*d + 9. What is the remainder when f(-10) is divided by 32?
3
Suppose -25*z + 15*z = -50. Let a(b) = 3*b**2 - 6*b. What is the remainder when a(z) is divided by 3?
0
Let w(v) = 4*v**2 + 3*v - 6. Let u be w(2). Let j(f) = f**2 - 9*f - 4. Calculate the remainder when j(u) is divided by 23.
16
Let z(s) = -s + 1. Suppose 0 = -h + 3*w - 24, -3*h - 124 = -5*w - 44. Calculate the remainder when 5 - (2 + h/6 - -5) is divided by z(0).
0
Let k(g) = -g**3 - 43*g**2 - 5*g - 8. Suppose 0 = -b - 5 + 40. Calculate the remainder when k(-43) is divided by b.
32
Let o = -3838 + 4273. Calculate the remainder when o is divided by 142.
9
Suppose 2*c - 1010 = 5*h - c, -4*c + 20 = 0. Let x = 417 + h. Calculate the remainder when x is divided by 13.
10
Let x(k) be the second derivative of k**3/3 - 6*k**2 - 3*k. Suppose v - 4*n - 20 = 0, -3*n + 48 + 47 = 2*v. What is the remainder when v is divided by x(9)?
4
Suppose 3*y - 35 = 19. What is the remainder when 262 is divided by -1 - (-1210)/y - (-16)/(-72)?
64
Suppose -203*m = -4075 + 2045. What is the remainder when (1/2)/(1/164) is divided by m?
2
Suppose -2*y - 3*t = -59, -121 = -4*y - 8*t + 3*t. Let s = -3445 - -3457. What is the remainder when y is divided by s?
10
Suppose -501 = -27*a + 39. Suppose 86*x + a = 82*x, 0 = 2*j - 2*x - 156. Let s = 5 - -14. What is the remainder when j is divided by s?
16
Let h(j) = j**2 - j - 4. Let y(m) = -2*m - 8. Let i be y(-7). Calculate the remainder when (-570)/i*2/(-5) is divided by h(4).
6
Let u = 12519 - 12363. What is the remainder when 17937 is divided by u?
153
Let l(s) be the second derivative of 7*s**3/2 + s**2 + 47*s + 3. What is the remainder when l(6) is divided by 33?
29
Suppose 4*x - 384 = -c, -39*c + 36*c = -3*x + 318. What is the remainder when 939 is divided by x?
57
Let b(s) = 4*s**2 + 3*s - 4 - 26*s - 2. Suppose -13*g = -g - 180. Calculate the remainder when b(7) is divided by g.
14
Let q(v) = 2*v**3 - 23*v**2 + 60*v + 91. Let m(o) = -6*o**3 - 3*o**2 - 4*o - 3. What is the remainder when q(8) is divided by m(-2)?
0
Suppose 32*a - 939 - 744 = 173. Suppose 346 = w + 3*g + 11, -2*w + 702 = -2*g. What is the remainder when w is divided by a?
57
Let c(s) = s**3 + 16*s**2 + 54*s + 14. Suppose 4*v + 39 = -v - 4*d, -2*v - 6 = 4*d. What is the remainder when 116 is divided by c(v)?
16
Let j(q) = -q**2 + 234*q - 99. Calculate the remainder when j(167) is divided by 188.
186
Let k(f) = -5*f + 187. Let s be k(-47). Let d = -406 + s. What is the remainder when 27 is divided by d?
11
Let m(l) = 10*l - l + 5 - l**2 - 25 + 2*l. What is the remainder when 37 is divided by m(6)?
7
Let p(s) = -3*s**3 + 247*s**2 - 75*s - 81. What is the remainder when p(82) is divided by 83?
78
Calculate the remainder when 600*(-4)/4*-1 is divided by 14.
12
Let o(c) = 501*c**2 + 505*c**2 - 6 - 1 - 1002*c**2 + 6*c. Let l = -2 - -4. What is the remainder when 80 is divided by o(l)?
17
Suppose 0 = -87*q + 19446 + 2826. What is the remainder when q is divided by 69?
49
Suppose 97 = 3*u + 4*k - 253, 0 = k + 1. Suppose -m = -3*a + 30, 15*m - 54 = -4*a + 14*m. What is the remainder when u is divided by a?
10
Suppose -102 = t + 2*f - 48, 2*f = -3*t - 154. Let r(m) = 4*m**2 - m - 2. Let v be r(-4). Let p = v + t. Calculate the remainder when 78 is divided by p.
14
Let z(l) = -2*l**3 + 22*l**2 - 63*l + 48. What is the remainder when 1485 is divided by z(6)?
15
Let x = 94 + -91. What is the remainder when 53 is divided by 20/1 - -1*3/x?
11
Let j(i) = -83*i + 19. Calculate the remainder when 42 is divided by j(0).
4
Let a = 29 - 3. Let x = a - -1. Calculate the remainder when x is divided by 5.
2
Suppose 0 = -5*x + 3*k + 195, -4*k - 22 = -0*x - x. Suppose 5*z - 264 = z. Suppose 3*l + z = 9*l. Calculate the remainder when x is divided by l.
9
Suppose -4*i = -2*i, -2*i + 0*i = -4*v + 508. Calculate the remainder when 4695 is divided by v.
123
Suppose -25*q + 87*q = -41*q + 1133. Let i be (-2)/(-3)*(-9)/(-3). Suppose -c + 129 = i*c. Calculate the remainder when c is divided by q.
10
Let f(j) = -j**3 + 12*j**2 - 10*j - 4. Let d be f(11). Suppose -d*b - 1368 = b. What is the remainder when b/(-6) - 2/(-4) - -3 is divided by 9?
5
Calculate the remainder when 984 is divided by (10/(-45)*-135)/(1/2).
24
Let v = -7745 - -7762. What is the remainder when 1031 is divided by v?
11
Calculate the remainder when (8824/(-24))/(15/45*(0 - 1)) is divided by 364.
11
Suppose -4*c + 346 + 386 = 4*d, 5*d + 380 = 2*c. Suppose 0 = -5*f + 2*f + 144. Calculate the remainder when c is divided by f.
41
Let c = -20352 - -27774. What is the remainder when c is divided by 11?
8
Let n(p) = -2*p**3 + 164*p**2 - 163*p + 158. Calculate the remainder when 321 is divided by n(81).
13
Suppose 14*j - 18*j + 244 = r, j - r - 61 = 0. Let z = j + -53. What is the remainder when 76 is divided by z?
4
Let z(x) = 24*x - 19. Let o(q) = -q - 1. Let h be o(10). Let a be z(h). Let s = a + 403. Calculate the remainder when s is divided by 41.
38
Let w be (135/(-6))/(6/(-36)). Suppose w = 2*r + 31. What is the remainder when r is divided by 9?
7
Calculate the remainder when 197 is divided by (-1)/((325/(-273))/25).
8
Suppose 7*z - 93 = -30. Let r be 2/6 + (-562)/(-6). Suppose 2*m + 2*k - r + 28 = 0, 0 = m - 3*k - 25. What is the remainder when m is divided by z?
4
Suppose b - 4196 = -17*b + 1186. What is the remainder when 1166 is divided by b?
269
Suppose -3*i - 5 = 5*m, 0 = -5*i - 18*m + 19*m - 55. Calculate the remainder when 36/i*(-3)/((-6)/(-85)) is divided by 22.
21
Let g = 902 - 817. Calculate the remainder when 