r. Suppose 2*l + 8*x - 3*x - r = 0, -5*l = -4*x - 776. What is the remainder when l is divided by 31?
28
Let f be (-5)/20 + 125/4. Let t = f - -21. Suppose -5*u = -299 - 201. Calculate the remainder when u is divided by t.
48
Let v = -29 - -49. Let c = -8281 + 8537. What is the remainder when c is divided by v?
16
Let d(s) = -s**3 + 2*s - 80. Let h be d(0). What is the remainder when 147 is divided by (30/(-4))/(15/h)?
27
Let f(y) = y**3 - 9*y**2 - y - 24. Let m be f(9). Let i = -6 + m. Let q = i - -86. Calculate the remainder when q is divided by 10.
7
Suppose -4*l = -2*t + 978, t - 5*l - 471 = -9*l. Let a = -438 + t. What is the remainder when a is divided by 9?
0
Suppose 120*i = 3548 + 1732. Calculate the remainder when (218/4)/(9/36) is divided by i.
42
Let w(g) be the first derivative of g**2 + 25*g - 10. Let h be w(-10). What is the remainder when 70 is divided by (2/h)/(12/720)?
22
Suppose -5*t - 5*q + 2 = -23, -2*t + 5*q + 31 = 0. Calculate the remainder when (t/24)/(4/564) is divided by 25.
22
Let q(b) = -23*b + 396. Let z be q(17). Let u(m) = -m**3 + 7*m**2 - 5*m. Calculate the remainder when 393 is divided by u(z).
18
Let u(z) = 8*z - 63. Let j(a) = 9*a + 3. What is the remainder when u(15) is divided by j(2)?
15
Suppose 4*x - 2*s - 762 = 0, -5*x + 1043 = -s + 98. Calculate the remainder when x is divided by 79.
30
Let k = 9 + -2. Let o(g) = g - 8. Let u be o(0). Calculate the remainder when (-2 - 92/u)/(2/4) is divided by k.
5
Let k be 13 + (-315)/24 - 50/(-16). Suppose -k*g + 319 = 8*g. Calculate the remainder when 107 is divided by g.
20
Let l = -42 - -160. Suppose 0 = -2*n - 4*b + 90, 2*n - l = 6*b - 3*b. Calculate the remainder when 123 is divided by n.
17
Let a(z) = z**3 + 5*z**2 - 7*z + 8. Calculate the remainder when (4508/138)/(8/12) is divided by a(-6).
7
Let v(y) = 6*y**2 + 11*y + 13. Let p(i) = 8*i**2 + 11*i + 12. Let a(m) = 5*p(m) - 6*v(m). Calculate the remainder when a(6) is divided by 32.
28
Let j(z) = 32*z**2 - 22*z - 259. What is the remainder when j(-7) is divided by 67?
56
Suppose -316*w + 13918 = 962. Let c(f) = 14*f**2 + 1. Calculate the remainder when w is divided by c(-1).
11
Let n be 8/68 - 4140/(-68). Suppose -2*z - z + x + n = 0, -4*z + 72 = x. Calculate the remainder when 31 is divided by z.
12
Suppose 0 = 3*r - 0*r - 9. Let u(s) = -s**2 + 3*s + 2. What is the remainder when 5 + -1 + (282/35 - (-72)/(-1260)) is divided by u(r)?
0
Let m(w) = 2*w**2 - 31*w + 12. Let k(l) = -l**2 + l + 2. Let r(o) = -3*k(o) - m(o). Calculate the remainder when 18 is divided by r(-29).
7
Let y(c) = -c**3 + 4*c**2 + 26*c + 9. Let n be ((-9)/2)/((-1)/4). Suppose -2*q + 0*q = -n. Calculate the remainder when y(-4) is divided by q.
6
Suppose 2*m - 22 = 2*a + 184, 4*m + 3*a = 440. Let l(p) = -21*p - 37. Let w be l(-2). Suppose -w*x = x - 132. What is the remainder when m is divided by x?
19
Suppose -40*d + 753 = 35*d - 522. Let c = 487 - 49. What is the remainder when c is divided by d?
13
Suppose 3*z = p + 56, z = 5*p + 2*z + 248. What is the remainder when 210 is divided by 27/((45/p)/(24/(-20)))?
30
Suppose -139496 = -67*h - 675*h. What is the remainder when h is divided by 350/6 + (-2)/(-3)?
11
Let v(f) = -19*f**2 - 18*f**3 + 2 - 4*f + 19*f**3 - 4*f + 3*f. What is the remainder when v(20) is divided by 38?
36
Suppose -194*m - 135*m = -110325 - 105170. Calculate the remainder when m is divided by 163.
3
Suppose -75*f + 6280 = 38*f + 44*f. What is the remainder when 3077 is divided by f?
37
Suppose 10*j + 28 = 248. Suppose -j*o - 7*o + 87 = 0. Calculate the remainder when 85 is divided by o.
1
Let g = -3281 - -3865. What is the remainder when g is divided by 283?
18
Suppose 108*o = 162*o - 1014876. What is the remainder when o is divided by 127?
125
Suppose 15 = 3*t - 12. Suppose -3*k = 7*c - 4*c - t, c + 3 = k. Calculate the remainder when (-1005)/(-21) - (2/(-14) + c) is divided by 17.
14
Let h = 195 + -121. Let t = 5284 - 4917. Calculate the remainder when t is divided by h.
71
Suppose 3*f - 8*l + 4*l = 30, 0 = 2*l + 6. Suppose 0 = f*p - 109 - 11. Calculate the remainder when 14 is divided by ((-3)/5 + 52/p)*2.
2
Suppose 5 = -0*f + 5*f, 2*j + 1 = 5*f. Suppose 0 = -199*p + 250*p - 1377. What is the remainder when (28/j)/((-6)/(-33)) is divided by p?
23
Let m be (-229 - 1/1)/(-1 - 1). Suppose -2*r = 43 - m. Let g = 73 - r. What is the remainder when 140 is divided by g?
29
Let s(d) = -d**2 - 35*d - 261. What is the remainder when 2504 is divided by s(-12)?
14
Suppose 44 = -43*a + 45*a. What is the remainder when 253 is divided by (a/(-22))/((-3)/87)?
21
Calculate the remainder when (8/10)/((-4)/(-570)) is divided by 100.
14
Suppose 5*d - 667 = 4*k, -d + 22*k - 27*k = -116. Calculate the remainder when d is divided by 24.
11
Suppose -13*d - 29486 = -59*d. What is the remainder when d is divided by 311?
19
Let y = 280 + -131. Let o(h) = h**3 + h**2 - 4*h + 3. Let r be o(-5). Calculate the remainder when y is divided by ((-836)/r)/((-4)/(-14)).
35
Let y = -8930 + 8960. What is the remainder when 34 is divided by y?
4
Suppose -3*t = -5*g + 2267, -g + 70*t + 455 = 71*t. Calculate the remainder when g is divided by 38.
36
Let q(n) = 7*n**3 + 65*n**2 + 11*n + 198. What is the remainder when q(-9) is divided by 11?
8
Suppose 18*u - 507 - 213 = 0. Suppose 6*n = 248 + u. Calculate the remainder when 284 is divided by n.
44
Let r = 62 + -77. What is the remainder when 1/1 + 136/4 is divided by -3 + (6/r)/(5/(-275))?
16
Let n(y) = 280*y - 979. Calculate the remainder when n(4) is divided by 1*-1 - (-12 + -1).
9
Suppose 4*h - 7434 = -6*c, -39*h + 9310 = -34*h + 5*c. Calculate the remainder when h is divided by 52.
49
Suppose 8 = 2*y - 20. Let h(k) = -4*k - 31. Let x be h(-8). Suppose -j - i + 133 = 0, x - 9 = 4*i. Calculate the remainder when j is divided by y.
9
Suppose 64642*c - 255 = 64625*c. Let b be 3/3*8 + 1. Let k = b - 1. What is the remainder when c is divided by k?
7
Let l be ((-4)/14*2)/((-2)/14). Let a be (-2)/(((-10)/l)/5). Suppose 3*d + 3*z = -2 + 5, -2*d = a*z. What is the remainder when d is divided by 1?
0
Let o(u) = 16*u**2 - 993*u + 70. What is the remainder when 8141 is divided by o(62)?
5
Let t(g) = -2*g + 45. Let f be t(19). Let b = 5 + f. Calculate the remainder when (-3 + 2)/(1/(-71)) is divided by b.
11
Suppose 0 = -45*y + 3846 + 1823 - 359. What is the remainder when 1632 is divided by y?
98
Let c be ((-4)/8)/(3/(-18)). Suppose -c*t = -2*j - t + 16, -3*t = -3. Suppose -j*u + 0*u = -189. What is the remainder when 35 is divided by u?
14
Suppose 2*n = n. Suppose 2*r + 3*w + 5 = 0, n = 3*r - 4*r + 4*w + 25. Suppose -6 - 79 = -r*h. What is the remainder when h is divided by 9?
8
Suppose -4772 = -2*p - o, -4*o + o - 9534 = -4*p. Suppose p + 2490 = 15*b. What is the remainder when b is divided by 66?
61
Suppose -b = -i - 42, -2*b - i - 29 = -95. What is the remainder when 3345 is divided by b?
33
Let t = -510 - -531. Suppose t*o - 637 = -112. What is the remainder when 48 is divided by o?
23
Suppose -4*a + 20 = 0, -3*o + 1050 = -a - 388. Suppose -41 = -18*f + o. Calculate the remainder when 103 is divided by f.
16
Suppose -g - 28*g = 63*g - 79856. Calculate the remainder when g is divided by 79.
78
Let b = -19902 - -19934. What is the remainder when 815 is divided by b?
15
Calculate the remainder when (-102787)/(-92) + ((-198)/(-24))/11 is divided by 1101.
17
Let h(b) = b - 3. Let m be h(-2). Let n(z) = -2*z**3 - 4*z**2 + 33. Calculate the remainder when n(m) is divided by 64.
55
Suppose 2*x - 288 = -22. Suppose 4*k - 86 = 5*o + 106, -x = -3*k + o. What is the remainder when 339 is divided by k?
38
Let u(l) = -6*l**3 + 56*l**2 - 18*l + 11. What is the remainder when 1110 is divided by u(9)?
10
Suppose -2*m + 7*m - 24 = 4*d, -11 = -3*m - d. Let f be (-3)/(-12)*m + 96/(-3). Let x = f - -40. What is the remainder when x is divided by 2?
1
Suppose -q - 5*y = -54, y + 2*y - 6 = 0. Let z = q + -11. Calculate the remainder when 127 is divided by z.
28
Let t(i) = 1463*i + 16374. Calculate the remainder when t(-11) is divided by 112.
57
Let p(v) = 3*v**2 - 2*v + 1. Suppose 0 = -4*w + 4*x + 68, -4*w + 8 = 4*x - 20. Suppose w*o = 15*o - 69. Calculate the remainder when o is divided by p(-1).
5
Suppose 2*k = 13*a - 18*a + 713, 