the remainder when (-4)/((-28)/(-16) - s) is divided by 10.
6
Suppose 4*c - 4*q - 50 = -14, 0 = -3*c - 3*q + 3. Let l = -145 + 535. Let x = -373 + l. Calculate the remainder when x is divided by c.
2
Let x(c) = -c**3 - 23*c**2 - 79*c - 128. Calculate the remainder when x(-20) is divided by 43.
37
Suppose 4*a + 4*g - 604 = 0, -4*g + 149 = a - g. Suppose -3*j + 224 - 35 = 3*w, 6 = 2*j. Suppose w + 42 = 2*y. Calculate the remainder when a is divided by y.
50
Let j = -211 + 247. Suppose 47*a - 45*a - j = 0. Calculate the remainder when 87 is divided by a.
15
Suppose 5*x - 78 - 42 = 0. Let k(n) = -n**3 - 4*n**2 + 79*n + 14. Let t be k(-12). Let h = t - 174. Calculate the remainder when h is divided by x.
20
Suppose 2*o + 11 = 37. Suppose 3*m - o = -19. What is the remainder when 5 - (15/(-5) + m) is divided by 1?
0
Let j(t) = 19*t**3 - 8*t**2 - 83*t + 90. Suppose -5*k + 498 = -112. What is the remainder when k is divided by j(1)?
14
Let c = -13 - -62. Suppose -2*h + c = l, 5*l - 71 - 186 = -4*h. What is the remainder when 315 is divided by l?
50
Suppose -46*t + 47*t = -2*x + 2991, -x = 27*t - 1681. What is the remainder when x is divided by 94?
82
Let n(y) = -4*y + 2 - 13*y**3 - y - 1 + 7*y. Let i be n(-1). What is the remainder when (7 - i) + 4 - -1*80 is divided by 21?
16
Let v be (6 + 76)*(3 - -7). Let l = v - 791. Calculate the remainder when 53 is divided by l.
24
Suppose -12*b - 157 + 172 = -117. Calculate the remainder when 74 is divided by b.
8
Suppose 1246 - 4524 - 4510 = -22*l. What is the remainder when l is divided by 22?
2
Let m = 106321 - 106078. Suppose -2*k = k - 15. What is the remainder when m is divided by k?
3
What is the remainder when (-7*21)/(-3) + 2 is divided by 4/(-136) + (-66057)/(-3298)?
11
Let q(a) = -6*a. Let z(m) = -5*m**2 + 308*m - 4142. Calculate the remainder when z(40) is divided by q(-2).
10
Let n = 165 - 157. Suppose 0 = 10*a - n*a - 58. What is the remainder when a is divided by 17?
12
Suppose -4*w + 50 = j + 11, -j = -w + 6. Let l = 153 - w. Calculate the remainder when l is divided by 21.
18
Let c(h) = 15*h**2 + 43*h + 3. What is the remainder when c(7) is divided by 318?
85
Suppose -96*s = -45608 - 29848. Calculate the remainder when s is divided by 121.
60
Suppose -5*h = 7*h - 312. What is the remainder when 854/7 + (-6 - 12/6) is divided by h?
10
Suppose -4*a = -5*x + 136, 50 = 2*x - 4*a - 14. Let q be 4/(-5)*45/(-18). What is the remainder when 69 + -3 + (q - -3) is divided by x?
23
Let q(l) = -1 - 6 - 12*l + 38 + 4. Calculate the remainder when q(-4) is divided by 28.
27
Let k = -3447 + 3475. What is the remainder when 149 is divided by k?
9
Suppose 5*l + 163 = 33. Let w = l + 33. Calculate the remainder when 134/3*(63/14)/3 is divided by w.
4
Let o(w) = -w**3 + 5*w**2 + 8*w - 3. Let u be o(6). Let c(d) = -d**2 + 10*d - 4. Calculate the remainder when (-6)/(-7)*1680/160 is divided by c(u).
4
Suppose 0 = 3*i - 5*c - 211, 3*i - 213 = -0*i + 3*c. Let z = i - 68. Let d = 10 + z. What is the remainder when 66 is divided by d?
10
Let s = -143 - 487. Calculate the remainder when 12/(s/(-102) + -6) is divided by 8.
4
Suppose -7*l - 168 + 259 = 0. What is the remainder when 18 is divided by l?
5
Let d = 7110 - 6624. Calculate the remainder when d is divided by 237.
12
Let x(i) = 14*i**2 - 127*i - 75. What is the remainder when x(11) is divided by 127?
95
Suppose -127*w = -128*w + 24. Let n = -26 - -39. Calculate the remainder when w is divided by n.
11
Let y(q) = 2*q**3 + 3*q - 8. Let l(g) = -g**2 - 14*g - 8. Let c be l(-13). Calculate the remainder when y(c) is divided by 26.
23
Suppose m = -4*p + 28, 3*m + 3*p - 136 + 25 = 0. Suppose -387*o = -306*o - 19197. Calculate the remainder when o is divided by m.
37
What is the remainder when (-24)/(-136) + (-156192)/(-408) is divided by 123?
14
Let u(a) = a**2 - 3*a - 6. Let p be u(5). Suppose 0 = p*c + 2*c - 24. Suppose b + 9 = -5*f - c, -b - 3*f - 3 = 0. What is the remainder when 95 is divided by b?
11
Suppose 14*w = 369 + 203 + 2102. Calculate the remainder when w is divided by 28.
23
What is the remainder when (50/(-425) + (-64)/34 - -746) + -1 is divided by 12?
11
Let t be (-16 - -15)*(-3)/1 - 1. Suppose -181 = -4*f + 3*x, -t*f + 4*x = 3*x - 93. Calculate the remainder when f is divided by 16.
1
Suppose 0 = -4*c + 3*c + 2*f + 764, 1529 = 2*c - 3*f. What is the remainder when c is divided by 253?
7
Let y(l) = 45*l + 14. Let o be y(9). Let r = o + -208. Calculate the remainder when r is divided by 72.
67
Suppose 1865 = -49*b + 54*b - m, -5*b + 1840 = 4*m. Calculate the remainder when b is divided by 22.
20
Let i be 472/12 - 2/3*-1. Let h = i + -93. Let l = h - -56. What is the remainder when 10 is divided by l?
1
Let r(l) = -l**2 - 22*l - 21. Suppose 0 = 2*x + 7 + 33. What is the remainder when 10/(-3)*(-90)/4 is divided by r(x)?
18
Suppose -3*d - 2*g + 261 = g, -5*d - 4*g = -432. Let t = 960 + -883. What is the remainder when d is divided by t?
7
What is the remainder when 793 is divided by (-36693)/(-1215) + (9/5 - 2)?
13
Let k(p) = p**3 - 9*p**2 + 7*p - 10. Suppose 0 = -595*m + 2905 + 3045. What is the remainder when k(9) is divided by m?
3
Let w(b) = b**3 + 14*b**2 - 15*b + 33. Let v(g) = -g**3 - 27*g**2 + 30*g - 63. Let q(f) = 4*v(f) + 7*w(f). What is the remainder when q(5) is divided by 9?
8
Suppose 120 = x - 11*x. Calculate the remainder when 51 + (-2 - (-1 - 2)) is divided by 142/8 - 3/x.
16
Suppose -2*r + 8 = 2*x, r - 10 = -3*x - 0*x. Suppose -8*d + 10*d = -5*o + 138, -2*o + 53 = x*d. Calculate the remainder when 107 is divided by o.
23
Let q(s) = 2*s**2 + 15*s + 30. Let v be q(-4). Suppose 2*i + 55*a - 58*a - 2250 = 0, 3375 = 3*i - v*a. Calculate the remainder when i is divided by 47.
44
Let j = 6242 - 6049. What is the remainder when j is divided by 109?
84
Let d be 7 - ((-5)/1 + 3). Suppose 0 = 10*w - d*w - 3*f - 255, -3*f + 1065 = 4*w. Suppose -3*k + 24 = -135. What is the remainder when w is divided by k?
52
Let i be 0 - (1*4/(-4) - 7). Let d(k) = k**3 - 9*k**2 + 10*k - 9. Calculate the remainder when 12 is divided by d(i).
5
Let t = 23 - 20. Let m = 13 + -13. Suppose t*u + 7 - 23 = -2*x, m = 2*u. What is the remainder when 71 is divided by x?
7
Let c = -66 - -155. Let b = -161 - -180. What is the remainder when c is divided by b?
13
Suppose -95*q = -96*q + 114. Calculate the remainder when 2393 is divided by q.
113
Let c = 5576 - -1837. What is the remainder when c is divided by 18?
15
Let u(y) = 2*y**2 + 6*y - 14. Let g = -88 - -262. Suppose -178*r = -g*r - 24. What is the remainder when u(-6) is divided by r?
4
Let r(g) = 16*g**3 - 7*g**2 - g + 4. Suppose 4*w - 228 = -4*d, 5*w - 409 = 2*d - 152. Calculate the remainder when r(3) is divided by w.
52
Suppose -17*c + 5*w = -12*c - 65, -5*c = 4*w - 20. Calculate the remainder when 105 is divided by c.
1
Suppose -656*m + 646*m = -73480. What is the remainder when m is divided by 49?
47
Let l = 18 + -39. Let s(w) = -w**3 - 20*w**2 + 19*w - 25. Let t be s(l). Let z = t + 42. Calculate the remainder when z is divided by 16.
11
Let i be 3/(9/16*4/6). Suppose q - 21 = -i. Calculate the remainder when 31 is divided by q.
5
Let s = -8873 + 8903. Calculate the remainder when 3474 is divided by s.
24
Let y(s) = -4*s**2 + 77*s + 17. Let b = -6 + 12. Let l(c) = -c**2 + 9*c - 5. What is the remainder when y(19) is divided by l(b)?
10
Let i = 21 - 18. Suppose -35 = -i*k + 52. What is the remainder when k is divided by (3 + 35/(-14))*12?
5
Let t(b) = -b**3 + 41*b**2 + 131*b + 107. What is the remainder when 881 is divided by t(44)?
62
Suppose -10989*p = -10979*p - 2210. What is the remainder when 911 is divided by p?
27
Suppose 206*m - 42*m - 12792 = 0. Calculate the remainder when 154 is divided by m.
76
Suppose -3*v - 18 = -243. Suppose 418*l - 415*l + 2*x = 45, 5*l - 5*x = 50. What is the remainder when v is divided by l?
10
Let m(x) = 5*x**3 - 22*x**2 + 48*x + 16. Calculate the remainder when m(6) is divided by 61.
43
Let s = 64 - 10. Suppose 71 = 4*f - 5*l - s, 5*f = l + 172. Suppose 12*r = 25 + f. What is the remainder when 47 is divided by r?
2
Let b be (1 + 1 + -6 - 8288)*-1. Suppose -16*w + b = 3396. Calculate the remainder when w is divided by 22.
20
Let k(w) = w**2 - 8*w - 82. What is the remainder 