e 3*z - 15*z = -60. Suppose 3*q = -3*a + 6*a - 315, -4*a - z*q + 465 = 0. Calculate the remainder when a is divided by 16.
14
What is the remainder when 866 is divided by (-8)/10 + (72/(-40))/9 - -15?
12
Let p = 73 + -194. Let k = p - -154. Calculate the remainder when 128 is divided by k.
29
What is the remainder when 1210 is divided by 28/(-6)*(54/(-45) - (-4224)/(-280))?
70
Let g be -5 - 21/(63/(-9)). Calculate the remainder when 275 is divided by (g + -5 + 5)*95/(-2).
85
Let o = 85 + -59. Let h = o - 3. Suppose -8 + h = a. What is the remainder when 55 is divided by a?
10
Suppose 5*j - 123 = -2*w, 2*w - 3*w = -3*j + 65. Calculate the remainder when ((108/(-8))/(-1))/((-3)/(-18)) is divided by j.
12
Let d(v) = -v**2 + 14*v - 23. Let g be d(22). Let i = -175 - g. Suppose q + q - 4*s - 194 = 0, -5*s = 5*q - 440. Calculate the remainder when q is divided by i.
19
Suppose 164 = 7*r - 3*r. Suppose 27*n + 1386 - 4680 = 0. Calculate the remainder when n is divided by r.
40
What is the remainder when 270/2*((-408)/(-36))/17 is divided by 41?
8
Suppose 2*d + 213 = 731. Let n = 263 - d. What is the remainder when n is divided by 4?
0
Suppose 2*o = n, -2*n - 7*o + 3*o + 40 = 0. Calculate the remainder when 347 is divided by n.
7
Calculate the remainder when 1192 is divided by -4 + (-7 + 78/6 - -90).
88
Suppose 4*q + 24 = 0, -839*m + q = -840*m + 1669. What is the remainder when m is divided by 335?
0
Let m(h) = h**2 - 4*h + 688. Suppose 4*k = -k + 3*k. Let z be m(k). What is the remainder when (z/12)/(4/6) is divided by 11?
9
Let c = -16306 - -16880. Calculate the remainder when c is divided by 144.
142
Suppose 9 = -3*n, 15*v - 1758 = 14*v + 4*n. What is the remainder when v is divided by 46?
44
Suppose 3*v - 162 = 5*y + 367, -2*y = -5*v + 888. Let k = v + -92. What is the remainder when 262 is divided by k?
4
Let t be (-5)/(-20) - (-287)/4. Let m(o) = o**3 - 11*o**2 - 40. Let l be m(10). What is the remainder when (-5)/(l/t)*21 is divided by 15?
9
Let q(s) = s**2 - 4*s - 14. Let n be q(12). Suppose 0 = 6*u - n - 2. Calculate the remainder when 27 is divided by u.
13
Suppose -c - 766 = -n, 3*n = -n - 6*c + 3144. Calculate the remainder when n is divided by 28.
18
Let z(s) = s**3 + 22*s**2 - 51*s - 633. Calculate the remainder when 1085 is divided by z(-23).
7
Suppose -5*u - 1241 = -4*x, -x = u - 330 + 49. Calculate the remainder when x is divided by (-2)/2 - (-150)/2.
72
Suppose 24*r - 972 = -492 + 1944. What is the remainder when r is divided by 6?
5
Suppose 0 = 2*g + 46 - 60, 2*a - 25539 = 3*g. Calculate the remainder when a is divided by 77.
75
Suppose 50*z - 374 = -90*z + 1306. Suppose -9*l = l - 120. What is the remainder when z is divided by l?
0
Suppose -36567 = -82*q - 34353. Suppose 5*d - 4*m - 34 = 0, 0 = -0*d - 4*d + 3*m + 27. Calculate the remainder when q is divided by d.
3
Let c = 31 - 28. Let m(h) = -2*h - 5. Let v be m(c). Let b = v - -30. What is the remainder when 73 is divided by b?
16
Let o(a) = a**3 - 52*a**2 - 48*a - 159. What is the remainder when o(53) is divided by (-108)/(-21)*42/4?
52
Let t = 42 - 38. Suppose 0 = r - t. What is the remainder when (9/15)/(r/540) - 0 is divided by 21?
18
Let w = -11750 + 11767. What is the remainder when 3075 is divided by w?
15
Suppose -648 = -3*u - i + 5*i, 2*i + 1122 = 5*u. What is the remainder when 401 is divided by u?
173
Suppose -q = 3*y + q - 64, -y - 5*q = -17. Suppose -7*u + 11*u = 16*z + 328, -2*u + 4*z + 168 = 0. Calculate the remainder when u is divided by y.
20
Suppose x - 72 = -4*i + i, -4*x = 2*i - 48. Suppose 4*f - 12*f = -i. What is the remainder when 6 is divided by f?
0
Calculate the remainder when 2005 is divided by (-28 - -30) + 330/((-9)/(-3)).
101
Suppose r - 2*v = 3*r - 60, -r + v + 40 = 0. Calculate the remainder when (-2379)/(-7) + 5/r is divided by 86.
82
Let g(v) = v**3 - 17*v**2 + 19*v - 122. Let r be g(16). Calculate the remainder when (-18 + 24)/((-3)/r) is divided by 75.
73
Suppose 189*l + 5166 = 231*l. Calculate the remainder when 242 is divided by l.
119
Let s(z) = -2*z + 14. Let l(g) = -g**2 - 14*g - 46. Let b be l(-7). Let x be s(b). Suppose -10*w + x*w = -142. What is the remainder when w is divided by 18?
17
Let o(g) = g**2 + 22*g - 46. Let q(v) = v - 11. Let c be q(-14). Calculate the remainder when 1/((21/(-171))/(-7)) is divided by o(c).
28
Let u(k) = 3*k**2 - 13*k + 39. Calculate the remainder when 93 is divided by u(3).
12
Let d(v) = -238*v - 4327. What is the remainder when 452 is divided by d(-19)?
62
Calculate the remainder when ((7/3)/(-7))/(14/(-54348)) is divided by 12.
10
Let t(u) = -21*u + 76. Let i be t(3). Suppose -i*j = -60*j + 26978. Calculate the remainder when j is divided by 48.
46
Suppose 715 = 3*u + 640. Let q = -6 - -9. Suppose i + q*i - 28 = 0. Calculate the remainder when u is divided by i.
4
Suppose -1 = g, -45*g = -4*k - 49*g + 68. Suppose 2*j - 2*a - 2 = 4*j, 3*a = j + 5. What is the remainder when k is divided by (j + 4)/(3/15)?
8
Let j(t) = t**2 - 14*t - 22. What is the remainder when j(24) is divided by 162?
56
Let o be (-2 - -1)*(-1 + 2). Let h = 4259 - 4246. Calculate the remainder when 28 + (3 - (5 - o)) is divided by h.
12
Let k be 1 - (3 - 4/1). Suppose -k*y = 1216 - 1358. What is the remainder when y is divided by 24?
23
Suppose 0 = -470*w + 463*w + 4417. Suppose 4 = -w*f + 633*f. Calculate the remainder when 11 is divided by f.
1
Suppose 3*x - 648 = -0*x - 2*p, -4*p - 844 = -4*x. Let v = x + 49. Calculate the remainder when v is divided by 19.
16
Calculate the remainder when 48 is divided by (-17 + 3 + -6)*(-15 + 6 - -8).
8
Suppose -3*g = 4*i - 127, g - 48 = -5*i + 119. Suppose 0 = -8*v + 658 + 414. What is the remainder when v is divided by i?
32
Let j(z) = z**3 - 15*z**2 - 4*z + 55. Let c be j(15). What is the remainder when 1 + c - (3 - 112) is divided by 36?
33
Suppose -76 = 3*s - 319. Let q = -47 + s. Let z(p) = -p**2 - 47*p + 953. Calculate the remainder when z(14) is divided by q.
31
Suppose -47*j + 57*j = -2860. Let d = j - -357. What is the remainder when 137 is divided by d?
66
Suppose -5*s = 5*t - 312 - 1558, -746 = -2*t - s. What is the remainder when t is divided by 125?
122
Let h = 34 + 108. Let f = 334855 + -334806. What is the remainder when h is divided by f?
44
Let f(k) = k**3 - 10*k**2 - 199*k - 249. What is the remainder when f(21) is divided by 44?
27
Let k(p) = -3*p**3 + 5*p**2 + 52*p + 317. Calculate the remainder when k(-5) is divided by 144.
125
Let u(k) = 6*k - 2. Let p be u(-2). Let o = -6 - p. Let b = -190 + 227. Calculate the remainder when b is divided by o.
5
Let l(d) = -d**2 - 8*d - 7. Let f be l(-5). Let x = -4 + f. Suppose 51124 = -211*r + 54711. What is the remainder when r is divided by x?
1
Let q = 112 + -106. Suppose 0 = -5*w + 2*o + 30, 4*w - 27 = -5*o + q*o. What is the remainder when 43 is divided by w?
3
Let t(j) be the third derivative of j**5/30 + 3*j**4/8 + 7*j**3/6 - 10*j**2 + 6*j. What is the remainder when t(7) is divided by 36?
24
Suppose 1202 + 852 = 2*h + 3*n, -2*n + 2050 = 2*h. Calculate the remainder when h is divided by 77.
20
Let w = 524 + -402. Suppose -w*v + 114*v + 704 = 0. Calculate the remainder when 351 is divided by v.
87
Suppose -3*w = q - 3*q + 317, -5*q + 4*w + 796 = 0. Let d = q - 79. Suppose -10 = -5*v, 2*y - 4*v - 58 = -5*v. Calculate the remainder when d is divided by y.
25
Calculate the remainder when 15*2/(-4)*(-12 + (-6528)/36) is divided by 133.
120
Let g = 3 - 10. Let x(r) = -5*r + 28. What is the remainder when x(g) is divided by 34?
29
Let s = 30953 + -30742. Calculate the remainder when s is divided by 108.
103
Suppose -8*x + 3*x = -40. Let m(v) = 2*v + 87. What is the remainder when m(7) is divided by x?
5
Suppose -3*a - 5*j = -6, 2*a = 14*j - 15*j + 4. Suppose -55*g - a*g = -2166. Let h(l) = -4*l + 1. Calculate the remainder when g is divided by h(-3).
12
Suppose 29 = 12*g - 11*g. Suppose -4*l + 176 = -184. Calculate the remainder when l is divided by 3/(-1) + g - 3.
21
Let r(k) = -31*k**3 - 8*k**2 - 56*k - 20. What is the remainder when r(-4) is divided by 105?
65
Suppose y + 13 = -2*o - 7, o = -4. What is the remainder when 37 is divided by 1 - y - 5/(15/(-18))?
18
Let j(r) = r**3 + 112*r**2 + 119*r + 1916. Calculate the remainder wh