 by a?
6
Suppose -11*v = -265 - 285. Calculate the remainder when 55 is divided by (-11)/((-55)/v) - -4.
13
Suppose 0 = 42*s - 40*s. Let p be s + 3 - -8*2/(-4). Calculate the remainder when -4 + 845/15 - p/(-3) is divided by 27.
25
Suppose 18*n - 984 = -138. Let m = -20 - -41. What is the remainder when n is divided by m?
5
Let k(x) = x**2 - 75*x - 2427. What is the remainder when k(-26) is divided by 13?
4
Let y = 3872 + -2916. What is the remainder when y is divided by 31?
26
Let n(c) = 24*c**3 - 2*c + 1. Let v = -20 + 21. Suppose 42 = 3*o - t, -o = 5*t - 0*t + 2. Calculate the remainder when n(v) is divided by o.
10
Let a(t) = -3*t - 28. Let n(f) = -f + 1. Let r(p) = a(p) + 2*n(p). Calculate the remainder when 24 is divided by r(-8).
10
Let q(c) = -c**2 - 9*c - 8. Let t be q(-7). Let u(r) = 2*r**3 - 7*r**2 + r + 3. What is the remainder when u(t) is divided by 24?
21
Suppose -4290*h = -4309*h + 1615. Suppose 377 + 124 = 3*l. Calculate the remainder when l is divided by h.
82
Let t(q) = 68 - 6256*q - 6249*q + 12509*q. Suppose -24 = 3*r - 4*s + s, 3*r = -4*s - 45. Calculate the remainder when 46 is divided by t(r).
22
Let x = -731 + 802. Let n be 8 - (0/2 - -3). Suppose -x = -n*p + 24. What is the remainder when p is divided by 10?
9
Let g(i) = -i**2 + 38*i + 89. Let s be g(41). Let q = 52 + 18. What is the remainder when q is divided by (323/s)/(1/(-2))?
13
Let z = -1886 + 13409. What is the remainder when z is divided by 25?
23
Let m(t) = -572*t**2 - 554*t**2 + 3*t - 10 + 1127*t**2. Suppose -o + 2*w = 0, o - w - 2*w + 5 = 0. What is the remainder when m(o) is divided by 41?
38
Let o(i) = -57*i + 4. Let a = -30055 - -30115. Calculate the remainder when o(-4) is divided by a.
52
Suppose -1212*v + 1232*v = 1620. Calculate the remainder when 390 is divided by v.
66
Let h(a) = 2*a**3 - 64*a**2 - 71*a + 353. What is the remainder when h(33) is divided by 122?
66
Suppose j + 112 = 3*z, 5*z - 228 - 96 = 3*j. Let k = j + 195. Calculate the remainder when k is divided by 51.
41
Let v(h) = h**2 - 7*h - 5. What is the remainder when v(-7) is divided by (-8)/((-16)/(-5))*(-376)/20?
46
Let f(r) = 13*r - 119. Suppose -37*y + 476 = -3*y. Calculate the remainder when f(y) is divided by (-2)/4 - (-46)/4.
8
Let f(c) = -354*c - 2446. What is the remainder when 119 is divided by f(-7)?
23
Suppose -37 = -4*u + 5*n, 9 = -5*u - 4*n + 45. Suppose -5*r = -3*r - u. Suppose 70 = y + r*y. Calculate the remainder when y is divided by 8.
6
Let q(a) = -34*a - 310. Suppose v + 88 = -7*v. Calculate the remainder when 133 is divided by q(v).
5
Let y be (-502)/14 - (-5)/(-35). Let w be 1/(-2)*y*16/6. Suppose -46*l - w = -48*l. Calculate the remainder when 70 is divided by l.
22
Suppose -5*p = -3*c + 18, -5*c + 4*p + 30 = -p. What is the remainder when 701 is divided by c?
5
Suppose -2762 = -29*j + 7881. What is the remainder when j is divided by 53?
49
What is the remainder when 425 is divided by (96/80)/((-12)/(-4100))?
15
Let m = -320 - -325. Suppose -w = -5*p - 27, m*w = -4*p - 27 + 162. What is the remainder when 35 is divided by w?
8
Suppose 0 = -2*n - 5*l + 120, 5*n - l + 2*l - 277 = 0. What is the remainder when n is divided by (-66)/10 - (-246)/(-615) - -17?
5
Let q(i) = -i**3 + i**2 + 6*i. Let t be q(3). Suppose t = j - 2*j + 118. Suppose 3*f = 23 + j. What is the remainder when f is divided by 25?
22
Calculate the remainder when (-4)/(-6) - 1846/(-39) is divided by (-14)/49*(-7 - 35).
0
Let j(v) = -487*v - 460. Suppose -6 = -3*y, -2*m + 248 = -y - 4*y. Calculate the remainder when m is divided by j(-1).
21
Let k(u) = u**3 - 9*u**2 - 8*u + 1. Calculate the remainder when k(10) is divided by 20/6 + (-150)/(-225).
1
Let i(r) = 5*r - 30*r**2 + 50*r**2 - 26 - 14*r**2 + r**3 - 20*r**2. Calculate the remainder when 174 is divided by i(14).
42
Let v(t) = -t**3 - 18*t**2 + 38*t - 34. Let g = 291 + -311. What is the remainder when 305 is divided by v(g)?
5
Let a be 2*(-2)/4 + 4. Let d = 4 + a. What is the remainder when d is divided by 6/9 + ((-640)/(-24))/8?
3
Let x(l) = -l**3 + 5*l - 4. Let o be x(1). Suppose o = 14*t - 736 - 1532. What is the remainder when t is divided by 42?
36
Let i(p) = 2*p**2 - 3*p - 9. Suppose 78 = 8*m + 22. What is the remainder when i(m) is divided by 18?
14
Suppose -39822 - 76566 = -159*t. What is the remainder when t is divided by 25?
7
Let j = 2734 - 2087. What is the remainder when j is divided by 27?
26
Suppose -7*n + 7*n = -3*n. Suppose -37*v + 6*v + 186 = n. What is the remainder when 89 is divided by v?
5
Let b(c) = c**2 - 2*c - 4. Let n be (2/4)/((-1)/(-12)). Suppose -48*y = -51*y - 3*p + 150, 0*p = -2*p + 26. Calculate the remainder when y is divided by b(n).
17
Let x(z) = z**3 - 4*z**2 + 6*z - 7. Let q be 2 - -1 - 0/2. Let s be x(q). Suppose -3*f - s = -14. What is the remainder when 11 is divided by f?
3
Let q(v) = -7*v**3 + v**2 + 48*v - 10. Let o be q(-5). Let c = 683 - o. Let y = 288 - 126. Calculate the remainder when y is divided by c.
30
Let v(t) = -48*t + 994. What is the remainder when 234 is divided by v(19)?
70
Suppose f = -4, -60*f + 300 = 2*q - 55*f. Calculate the remainder when 4646 is divided by q.
6
Let k(l) = -3*l + 6*l**2 + 2 + 3*l**2 - 2*l. Suppose 5*b + 55 = 0, -392 = -5*v - 3*b - 335. What is the remainder when k(3) is divided by v?
14
Let c(v) = 16*v**3 - v + 1. Suppose 0 = 16*o - 13 - 3. What is the remainder when 43 + 1 + 0 + o is divided by c(1)?
13
Let o = 241 - 237. Suppose -y - 990 = -4*r - 198, 0 = -o*r + 4*y + 792. Calculate the remainder when r is divided by 50.
48
Suppose 2*s + 1620 = 8*s. Let w = -351 + 385. What is the remainder when s is divided by w?
32
Let d = -15 - -25. Suppose -5*g - 11 = -5*y - 3*g, 4*g + d = -2*y. Suppose -6 - y = -u. Calculate the remainder when 34 is divided by u.
6
What is the remainder when (14/(84/117))/((-6)/(-96)) is divided by 64?
56
Let n(r) = 7260*r - 146. Let f be n(-6). Calculate the remainder when 174 is divided by (-4)/18 + f/(-738).
56
Let o = 20405 + -20283. Calculate the remainder when 160 is divided by o.
38
Suppose 2427*l = 2390*l + 4699. Calculate the remainder when l is divided by ((-2)/2)/((-2)/22).
6
Let z(j) = -j**2 + 18*j - 2. Suppose -16*o + 15*o + 18 = 0. Let b be z(o). Calculate the remainder when 53 is divided by 1*b/((-8)/108).
26
What is the remainder when (-9 + -11 - 2120)*-1 is divided by 4?
0
Let c = -71 - -75. Suppose 27 = p - c*i - 12, 0 = 2*p - 3*i - 68. Calculate the remainder when p is divided by (-2)/3 - 106/(-6).
14
Let d(j) = j**3 + 6*j**2 - 10*j + 1. Suppose -319 = 2*b - 13*b. Let p = b - 36. What is the remainder when 84 is divided by d(p)?
18
Let f = -5 + 11. Suppose -r - f = -150. What is the remainder when r is divided by (-279)/(-6) - 5/(-10)*5?
46
Suppose -3*l + 5112 = 59*l + 10*l. Calculate the remainder when 102 is divided by l.
31
Let f = 30 + -9. Suppose 2861 = 11*l - 1231. Suppose -2*o + 255 = 11*p - 6*p, -3*o + 3*p + l = 0. What is the remainder when o is divided by f?
20
Suppose -17*w - 1105 + 18139 = 0. Calculate the remainder when w is divided by 333.
3
Suppose -13*s - 3*y = -10*s - 6, -s - 5*y = 2. Let o(a) = 20*a - 28. Calculate the remainder when o(s) is divided by 11.
10
Let a be (-120)/(-57) - 4/38. What is the remainder when 106 is divided by (-11)/a*(-4)/6*3?
7
Let l = -1412 - -1920. What is the remainder when l is divided by 146?
70
Let h = -5164 - -5228. Calculate the remainder when h is divided by 40.
24
Let v be (4/(-10))/(3/(-15)). Let j(t) = 7 - 19 + 6*t**v + t**3 + 281*t + 12*t**2 - 266*t. What is the remainder when j(-17) is divided by 8?
6
Suppose -6*n + 936 + 576 = 0. Suppose 2*a - n = -28. Suppose 0 = 9*c - a - 302. What is the remainder when c is divided by 8?
6
Let b = -31 + 51. Suppose 13*m + 3*l = 9*m + 1168, -5*l - 40 = 0. What is the remainder when m is divided by b?
18
Let f = 1 - -8. Let y = 374 - 367. Calculate the remainder when f is divided by y.
2
Let y(v) = -v**2 - 28*v - 146. Let x = 227 - 205. Calculate the remainder when y(-11) is divided by x.
19
Suppose -534*c + 8911 = -467*c. Let y(h) = h**3 - h**2 - 1. What is the remainder when c is divided by y(4)?
39
Let p = -3933 + 3944. Calculate the remainder when 1613 is divided by p.
7
Suppose 6*p - 131 = -461. Suppose -2*a + 3*a + 3*n + 60