e remainder when 8799 is divided by 14 + (20 - 14) + 0.
19
Let t(k) = -4*k. Let w be t(-3). Suppose -4*d + 5*x = -w - 38, -d + x + 12 = 0. Calculate the remainder when 86 is divided by 777/35 - 2/d.
20
Let m(d) = -12*d**2 + 21*d - 107. Let o(j) = -6*j**2 + 10*j - 54. Let f(q) = -6*m(q) + 11*o(q). What is the remainder when f(3) is divided by 21?
12
Suppose -2*i + 3*i + 4*u = -34, 86 = -3*i - 4*u. Calculate the remainder when 55 is divided by 2 + 3 - (-43 - i).
11
Let f(o) = 40*o - 25. Let t be f(7). Let j = t - 142. What is the remainder when j is divided by 29?
26
Let v = 1893 - 645. What is the remainder when v is divided by 104?
0
Suppose a - 395 = -3*g, -3*a + a + 10 = 0. Suppose -g = -2*d - 5*l, l + l + 214 = 3*d. Suppose 2*w - d = 80. What is the remainder when w is divided by 27?
21
Let v = -8911 + 11727. Calculate the remainder when v is divided by 7.
2
Suppose -296 + 328 = 4*s. What is the remainder when -6*(-2)/4*5 is divided by 11 + -6 + s + -7?
3
Let c(t) = 103*t + 670. What is the remainder when 8473 is divided by c(-6)?
49
Let o be 5 + (3 + -1 - 4). Suppose o*u - 4*u - 25 = -s, -2*s + u = -47. Suppose g + 0*g - 3 = 0. What is the remainder when s is divided by g?
1
Let h = -1468 - -1477. What is the remainder when 439 is divided by h?
7
Let d be 4 + 28*(66/(-21) - -4). Let x = d + 83. What is the remainder when x is divided by 34?
9
Suppose -3 = 6*z - 39. Suppose 0 = z*r - 197 - 199. Suppose 3*v = 12, -5*h + v = -75 - r. Calculate the remainder when h is divided by 11.
7
Suppose -39*f + 2881 + 17177 = -7632. What is the remainder when f is divided by 48?
38
Let z(r) = r**2 - 8 + 0 + 3*r + 4 + 1 + 10*r**2. Suppose -4*w = -3*b + 15, -w + 2 = 4*b + b. Calculate the remainder when 17 is divided by z(b).
6
Let a(i) = i**3 - 25*i**2 + 3*i - 38. Suppose 10*k + 3*u + 50 = 12*k, -k = 3*u - 25. Calculate the remainder when 131 is divided by a(k).
20
Suppose -d + 63 = 23. Suppose -7*n - d = -3*n. Let l(z) = -z**3 - 9*z**2 + 4*z - 17. What is the remainder when l(n) is divided by 9?
7
Let h(r) = 4*r + 57. Let l be (-2 - (-21)/7)*-4. Calculate the remainder when h(l) is divided by 39.
2
Let d(a) = a**3 - 2*a**2 - 23*a + 4. Let s be d(-4). Suppose s = 33*c - 37*c + 120. Calculate the remainder when 238 is divided by c.
28
Suppose 277 = 4*m - 531. Let v = m - 198. What is the remainder when 29 is divided by v?
1
Suppose -j - 3*g - 11 = 0, 4*g - 6*g - 11 = -3*j. Suppose -l + 16 = 3*u, 4*l - j = u - 2. Calculate the remainder when 43 is divided by 19/1 - 2*(1 + l).
13
Suppose 2 = 2*h, 2*h + 178 = u - 2*h. Suppose -u = -14*c + 112. Calculate the remainder when 144 is divided by c.
18
Suppose n + 20 = 4*x, 3*x + 5*n - 50 = -2*x. Let g(o) be the second derivative of -3*o**5/4 + o**4/12 - 28*o. What is the remainder when g(-1) is divided by x?
4
Let s = -74 - -66. Let v(l) = -13*l - 21. What is the remainder when v(s) is divided by 7?
6
Let c(y) = y**3 + 43*y**2 + 41*y - 45. Let r be c(-42). Calculate the remainder when 17 is divided by (10 - (r + 7))*1.
5
Let y(i) = i**3 + 4*i**2 + i + 2. Let g be y(-2). What is the remainder when (6/g)/(4/80) is divided by 7?
1
Let i = -144 - -319. Suppose 5*v + 5*m - i = 0, -7*v - 45 = -8*v + 4*m. What is the remainder when 138 is divided by v?
27
Let k = 26 - 15. Suppose -2115 = -k*h + 107. Suppose 5*m = h + 333. Calculate the remainder when m is divided by 37.
33
Let g(j) = 453*j + 5020. What is the remainder when 279 is divided by g(-11)?
20
Let g(s) be the third derivative of -1/6*s**3 + 0 + 15*s**2 + 7/60*s**5 + 0*s + 1/12*s**4. Calculate the remainder when g(6) is divided by 53.
51
Suppose -6 - 2 = 4*f. Let b(x) = x**2 - 2*x + 4. What is the remainder when ((19/2)/(f/4))/(-1) is divided by b(4)?
7
Let s(c) be the first derivative of -13*c**2/2 + 33*c - 20. Calculate the remainder when s(0) is divided by 9.
6
Let t = 224 + -196. Suppose -8 = -4*h - 0. Suppose 0 = h*d + 4*x + 27 - 195, -82 = -d - x. What is the remainder when d is divided by t?
24
Let s(n) = 17*n**2 + 154*n + 11. What is the remainder when s(-12) is divided by 10?
1
Let t be (16/3)/(4/6). Suppose 2*r + 3*w = 13, 6 = 4*r + 2*w - t. What is the remainder when 2508/68 + r/17 is divided by 14?
9
Let c = -3877 + 6013. Calculate the remainder when c is divided by 93.
90
Suppose 5*y + 0*y = 55. Let s = -326226 + 326654. Calculate the remainder when s is divided by y.
10
Suppose 116*k = 21*k - 144*k + 1911044. Calculate the remainder when k is divided by 125.
121
Let b = 44 - 16. Let x be 623/2*b/49. What is the remainder when (-2)/(11/33 + x/(-516)) is divided by 35?
32
Let m be (-5)/15*(1 + 2). Let x = m + 21. What is the remainder when 137 is divided by x?
17
Suppose -7*w - 41 = -8*w. Suppose 2*u = 5*u + 5*j - 17, -8 = 4*j. Suppose -4*x + 8 = 0, -12*k + 25 = -u*k + 2*x. What is the remainder when w is divided by k?
6
Let d(o) = -101*o + 1128. What is the remainder when 522/8 - 2/8 is divided by d(11)?
14
Suppose 3*f + 5*g = 2*f - 18, 3*f + 3*g + 6 = 0. Suppose -6*w - 24 = f*w. What is the remainder when (2 - 1)/(w - 1720/(-572)) is divided by 49?
45
Let k(z) = -3*z**2 + 0*z + 59 + 8 + 13*z**2 - 9*z**2 - 13*z. What is the remainder when 153 is divided by k(9)?
29
Let b(i) = 5*i**2 + 32*i + 25. Let j be b(-19). Suppose 43*q = 5*u + 42*q - j, 5*u - 2*q = 1224. Calculate the remainder when u is divided by 83.
78
Let w(z) = -503*z + 106658. What is the remainder when (-4568)/(-14) + 2/(-7) is divided by w(212)?
18
Let w be (-3 - -7)*(-1)/(-2). Let p(s) = -2 + 0*s - 10 - s**3 - s - 4*s**w - 3*s. Calculate the remainder when p(-4) is divided by 2.
0
Let p = 897 + 2015. Let b be 1/(4/p) - 2. What is the remainder when 76 is divided by (-4)/24 - b/(-36)?
16
Let n(z) = -15 + z - z**3 - 3*z - 21*z**2 + 27*z**2. Let o be n(5). Let j(h) = -h**3 + 2*h + 10. Calculate the remainder when 69 is divided by j(o).
9
Calculate the remainder when (1 + (-25)/(-2))/((-25 + 37)/312) is divided by 32.
31
Let f = 112 - 114. Suppose -5*n - 90 = -5*s, n + 2*n - 37 = -4*s. Calculate the remainder when (-7328)/(-192) + f/12 is divided by s.
12
Calculate the remainder when (-1702 - -4)*((-54)/(-6))/(-18) is divided by 104.
17
Suppose -286*w - 322*w - 1665 = -645*w. What is the remainder when 1687 is divided by w?
22
Let i = 1100 - 756. What is the remainder when i is divided by (5/4)/(24/288)?
14
Let i = 16973 + -16799. What is the remainder when 486 is divided by i?
138
Let p(v) = -2*v**2 + 32*v + 23. Suppose 2*j - 96 + 26 = -4*q, 10 = q - 2*j. Calculate the remainder when p(q) is divided by 13.
10
Suppose 0 = 8*o - 5*o - 57. Suppose -23*c = -o*c - 1024. Suppose -w + 5*w - 4*y = 132, -4*w - y = -152. What is the remainder when c is divided by w?
34
Suppose 0 = -44*n + 4387 + 6525. Calculate the remainder when 1498 is divided by n.
10
Let i(o) = -35*o + 14. Let n(q) = 28*q + 1038. Calculate the remainder when i(-6) is divided by n(-35).
50
Let j = 372 - 368. Suppose 4*f + j*l = 352, f - 15*l = -11*l + 103. What is the remainder when f is divided by 47?
44
Suppose -a = 2*f - 99, 5*f - 329 = 2*a - 68. Calculate the remainder when 524 is divided by f.
14
Suppose -273*k + 39 = -260*k. Suppose 5*u + 880 = 5*g, -2*g + 178 = -k*u - 172. Calculate the remainder when g is divided by 12.
10
What is the remainder when 266 is divided by ((-3)/7)/((-97)/8148)?
14
Suppose 0 = 119*a - 32*a + 126*a - 18744. Let q(u) = -u**3 - 3*u**2 - 2*u. What is the remainder when a is divided by q(-4)?
16
Suppose -2*q - 22*q = 19*q - 2795. Calculate the remainder when 613 is divided by q.
28
Let p(a) = 4296*a - 8571. Calculate the remainder when p(3) is divided by 36.
33
Suppose 0 = -n + 5*n - 20, -1378 = -3*c - 5*n. What is the remainder when c is divided by 8?
3
What is the remainder when (-350)/(-490) - 758/(-7) is divided by -12*(7/(-3) + 1)?
13
Let y be 8 - 120/100*5/2. Suppose -33 = -5*g - 3*p, -13 - 10 = -3*g - y*p. What is the remainder when 59 is divided by g?
5
Suppose -163*o + 8049 = 7928 - 100613. What is the remainder when o is divided by 27?
24
Let t(u) = -u**2 - 33*u - 43. Let f be 4/3 - 427/21. What is the remainder when t(f) is divided by 56?
55
Let x = -4548 + 5971. Calculate the remainder when x is divided by 61.
20
Suppose 3*a - 2*m - 10 = 3*m, 5*m = -a - 30. Let x be 0 + (2 - (-4 - a