 is divided by z?
9
Let w(o) = -5*o**3 - 8*o + 5. Let x(q) = -11*q**3 - q**2 - 17*q + 11. Let i(p) = -9*w(p) + 4*x(p). What is the remainder when 72 is divided by i(4)?
12
Suppose p + 8 = 3*p. Suppose -3*f = -4*d + d - 9, p*d + 5*f - 15 = 0. Calculate the remainder when 3 - (-1 + d - 135) is divided by 20.
19
Suppose 0 = -4*u + 4*m + 16 + 60, -78 = -4*u + 5*m. Suppose -2*o = -7*o - 35. Let v = 17 + o. What is the remainder when u is divided by v?
7
Suppose 9*q = 6*q + 3. Suppose r - 4 = -2*t + 5*r, r + 4 = t. What is the remainder when (q + 2)*(-10)/(-3) is divided by t?
4
Let t(s) = 567*s**2 - 36*s + 37. Calculate the remainder when t(1) is divided by 88.
40
Suppose 0 = 39*r - 22*r - 3995. What is the remainder when 17 is divided by ((-1504)/r)/((-4)/10)?
1
Let j(v) = -v**2 - 16*v + 36. Let s be j(8). Let w = s + 197. Let y(q) = q + 14. What is the remainder when w is divided by y(0)?
13
Let d be (6 - 9)*(-11)/(-3). Let t = 13 + d. Suppose 4*m - 139 = -3*b, -m + 0*m + 86 = t*b. What is the remainder when 159 is divided by b?
36
Let l be (1*2*-1)/((-36)/54). Suppose l*z = 5*z - 40. Suppose -32 = -z*p + 16*p. What is the remainder when 38 is divided by p?
6
Let n = 13780 + -12406. Calculate the remainder when n is divided by 55.
54
Let c(p) = 3*p**2 + 8*p - 5. Let u(y) = y**2 + 25*y + 113. Calculate the remainder when u(-4) is divided by c(-4).
7
Suppose 0 = -19*o + 2*o + 136. Suppose 4*s + 80 = o*s. What is the remainder when (-1)/(-3 + (-173)/(-58)) is divided by s?
18
Calculate the remainder when -3 + 105 + 3 - 2 is divided by (87/15 + -5)*(65 - 0).
51
Let l(b) = 3*b**2 - 72*b + 219. Calculate the remainder when l(31) is divided by 46.
42
Suppose 2*s = s + 14. Calculate the remainder when (-286)/104 + 9303/84 is divided by s.
10
Suppose -228 = -265*l + 5867. Suppose -2*j - 31 = 4*z - 177, -5*j + 344 = 3*z. What is the remainder when j is divided by l?
21
Suppose -166*c = 152*c + 226*c - 1872448. Calculate the remainder when c is divided by 48.
34
Let h be 13/(-3)*(10 + 2). Let s = h - -121. Let b = -55 + s. What is the remainder when 41 is divided by b?
13
What is the remainder when 20/2 + 601 + -39 is divided by 9?
5
Suppose 99*v - 89*v = 260. Calculate the remainder when 77 is divided by v - 4/(6*-2)*-12.
11
Suppose -5*w + 11*h = 16*h - 1195, -2*w = 4*h - 480. Calculate the remainder when 256 is divided by w.
18
Let y = 6085 - 5926. What is the remainder when y is divided by 69?
21
Let b(c) = -55*c + 89. Calculate the remainder when b(-20) is divided by 17.
16
Let r = 894 - -4605. What is the remainder when r is divided by 19?
8
Suppose 8*c - 6 = 2. Let d be c/(-1 - (-10)/8). Suppose d*v - 119 = -3*v. Calculate the remainder when 62 is divided by v.
11
Let a = 112 + -110. Suppose 0 = a*b - 3*c - 13, b - 3*b = 3*c - 19. Suppose 11*z = b*z + 261. What is the remainder when z is divided by 19?
11
Suppose -3*m = 3*l + l - 62, 4*l - 5*m = 78. Suppose -29*i = -l*i - 252. What is the remainder when i is divided by 9?
3
Let y be (4/(-3))/(14/(-6) - -2). Let t(d) = 2*d**3 - 6*d**2 + 1. Let w be t(y). Suppose b - 4*b + w = 0. Calculate the remainder when 65 is divided by b.
10
Let b = 6 - 4. Suppose b*z - 36 = -3*h + h, 5*z - 4*h = 99. Suppose -6*n + 377 + 187 = 0. What is the remainder when n is divided by z?
18
Suppose 28*g - 8588 + 3296 = 0. Calculate the remainder when g is divided by 9.
0
Suppose 30 = 2*c - h, 0 = c - h + 2*h - 18. What is the remainder when c is divided by 4/((-728)/819)*(-32)/18?
0
Let s(v) = -v**2 - 26*v - 53. Let m be s(-24). Let i be (3 + 7)/5 - m. What is the remainder when 83 is divided by (i/2)/(2/12)?
20
Suppose -3 = -2*b - 29. What is the remainder when (-35)/15*(b - -4) is divided by (-4)/14 + (-258)/(-21)?
9
Let k(q) = 52*q**2 + 7*q - 1. Calculate the remainder when k(-3) is divided by 435.
11
Let f be 2/8 + 1143/4. Suppose 0 = -61*m + 2415 + 879. Suppose -8*t = m - f. What is the remainder when t is divided by 17?
12
Let s(k) = 4*k + 8. Let d = 71 + -71. What is the remainder when 9 is divided by s(d)?
1
Calculate the remainder when (-1 + -1)/(25 + (-37155)/1485) is divided by 6.
3
Calculate the remainder when (236/3)/(25/300) is divided by 86.
84
Let u(b) = 17*b - 268. Let q be u(16). Suppose 4*z - 159 + 39 = 0. Let p = q + z. Calculate the remainder when p is divided by 12.
10
Suppose 4*f = -w + 96, 14*f - 90 = -w + 9*f. What is the remainder when 1064 is divided by w?
104
Suppose -2*o + 469 = -1351. Calculate the remainder when o is divided by 15.
10
Suppose -2*y + 33 = 29. Let s(g) = -2*g + 4. Let k be s(2). Suppose -n + 0 + 7 = k. What is the remainder when n is divided by y?
1
Suppose -7 = -5*t + 13. What is the remainder when (-651)/(-6) - 2/t is divided by 22?
20
Suppose 0 = 3*z - 5*w - 983, -36*z + 4*w - 1626 = -41*z. Let b = -313 + z. Calculate the remainder when ((-38)/(-4))/((-1)/(-6)) is divided by b.
5
Calculate the remainder when 6238 is divided by 28 + 56 - -2*10.
102
Suppose 13*a - 207 = 10*a. Suppose -44*w = -48*w + 40. Suppose i + 0*i = w. Calculate the remainder when a is divided by i.
9
Suppose -u = -2*u - 6. Let m(w) = -2*w - 1. Suppose 2*g + 12 = 3*d, -3*d + 30 = 3*g + 3. What is the remainder when m(u) is divided by d?
5
Let x(m) = 7*m**3 + 260*m**2 - 31*m + 73. Calculate the remainder when x(-37) is divided by 70.
69
Suppose z + 3*n - 219 = 0, -5*z + 1232 = -2*n + 137. What is the remainder when z is divided by 45?
39
Suppose f - i - 27 = 0, 351*f = 352*f + 2*i - 27. What is the remainder when 1102 is divided by f?
22
Let b(z) = z**3 - 14*z**2 + 6*z + 12. Let t be b(5). Let y = t - -238. Calculate the remainder when y is divided by 15.
10
Let l = -53 - -57. Suppose l*t + 426 = 66. Let j = 13 - t. Calculate the remainder when j is divided by 26.
25
Calculate the remainder when 1081 is divided by ((-20)/3)/(32/336*(-63)/279).
151
Let t(y) = -8*y - 79. Let w be t(-13). Suppose w + 227 = 4*j + 4*v, -2*j + 2*v + 126 = 0. Calculate the remainder when j is divided by 22.
19
What is the remainder when 52 is divided by (-5*(-6)/10 - (-1 - 40)) + -1?
9
Suppose 0 = -k + 3*z + 30 - 6, 5*z + 15 = 0. Suppose 5*v = l - 15, -11*l - 129 = -k*l - 3*v. What is the remainder when l is divided by 1/4 - 201/(-12)?
13
Suppose -4*d = -2*u - 16706, -57*d + 60*d + 4*u - 12491 = 0. What is the remainder when d is divided by 11?
4
Suppose -15*n + a + 191 = -11*n, -5*n = 2*a - 255. What is the remainder when 277 is divided by n?
32
Let l(y) = y**2 - y - 634. Suppose -5*w + 10*w + 2671 = 4*m, 2*w = 4*m - 2674. Calculate the remainder when m is divided by l(-25).
13
Let l be (-14)/((-126)/(-27)) - 562. Let m = -535 - l. What is the remainder when 45 is divided by m?
15
Let y = 160 - 162. Suppose i = -2*t + 3 + 7, 2*i - 36 = 4*t. What is the remainder when (y + -11 + 0)/((-18)/36) is divided by i?
12
Suppose 4*t = 4*q + 8*t - 224, -4*q + 197 = -5*t. Suppose -w - 2 = -q. Suppose -4*a + 82 = 30. What is the remainder when w is divided by a?
12
What is the remainder when 5165 is divided by -151 - -132 - 1*-37?
17
Let d be (63 + -2)*(-5 + (12 - 6)). Let b = d - 58. What is the remainder when 13 is divided by b?
1
Let p = 9411 - 9353. What is the remainder when 104 is divided by p?
46
Suppose -3*t - 38*t + 5170 = -19*t. Calculate the remainder when t is divided by 61.
52
Let g = 3628 + -3572. Calculate the remainder when 2127 is divided by g.
55
Suppose 2*b = -71*k + 75*k - 3490, 15 = 5*b. What is the remainder when k is divided by 867?
7
Let g be (6/(-4))/(8/(-16)). Suppose 2*w = 3*l - 42, -3*w - 33 - 6 = -g*l. Calculate the remainder when 143 is divided by l.
15
Suppose -1339 + 1789 = 3*t. What is the remainder when 310 is divided by t?
10
Suppose 2*o + 10 = -12. Let i(t) = -t**2 - 17*t - 34. What is the remainder when i(o) is divided by 3?
2
Suppose o = 5, z - 5*z = -5*o + 4753. Calculate the remainder when -3 + -1 - z/(-18)*-3 is divided by 28.
25
Let m(q) = 129 + 60*q + 71*q - 149*q. What is the remainder when m(-21) is divided by 34?
31
Suppose -2*z - 155 = -5*u, -z - 25 = 4*z. Let c = 19557 + -19504. What is the remainder when c is divided by u?
24
Suppose -3*c + 3*t = -66, -2*c - 3*t + 24 = -0*t. What is the remainder when (c/3)/(2/((-816)/(-18))) is divided by 35?
31
What is the remainder when 134979/65*2/6*5 is 