6559. What is the remainder when 404 is divided by z?
14
Let o = 84 - 73. Suppose 0 = 4*l + 2*z - 682, -3*l - 3*z = -0*z - 507. Suppose -5*w + w + l = 0. What is the remainder when w is divided by o?
10
Suppose a = 4*c + 1269, -4*c = 3*a - 618 - 3205. Calculate the remainder when a is divided by 216.
193
Suppose 4*s - 4204 = -5*y, 4*s - y = 3*s + 1060. Calculate the remainder when 153 is divided by s/20 + (-44)/55.
49
Suppose 0 = -6*j + 8*j - 0*j. What is the remainder when j*3/6 - -7 is divided by 4?
3
Let o(v) be the first derivative of v**2 + 19*v + 4. Let k be o(-8). Suppose 2*r + 18 = k*r. What is the remainder when 124 is divided by r?
16
Calculate the remainder when 1110 is divided by 1/1 + -18 + 825/33.
6
Suppose -5*z - 48 + 124 = 3*c, 3*c + 22 = 2*z. Calculate the remainder when 222 is divided by z.
12
Suppose 0 = -5*i - 117 + 212. Suppose 0 = -9*p + 10*p + 5*u - 14, u = -2*p + i. What is the remainder when 27 is divided by p?
0
Let j(u) = u - 2. Let y be j(1). Let t be (0 + -4)/(y/6). Suppose -2*l + 60 = t. Calculate the remainder when 53 is divided by l.
17
Suppose 58 = 2*s + 2*p, 5*s - 5*p = -0*p + 105. Let u = 13 + s. Suppose -4*y + u = -38. Calculate the remainder when 72 is divided by y.
15
Let x(m) = -45*m - 8. Let s be x(-2). Let a = s + -73. Calculate the remainder when 40 is divided by a.
4
Let z be ((-172)/(-6))/(56/(-24) - -2). Suppose 0*s = -s + 50. Calculate the remainder when ((-22)/2)/(z/774) is divided by s.
49
Let x(f) = -4*f**3 - 5*f**2 - 2*f - 7. Let i(m) = 2*m. Let a(v) = -3*i(v) - x(v). What is the remainder when a(4) is divided by 55?
52
Let v(l) = -49*l + 1. Let p(j) = -j + 5. Let m be p(6). Suppose 11*u = 29294 - 29173. Calculate the remainder when v(m) is divided by u.
6
Let f = 203 - 131. Suppose 3*x - 606 = -3*t, 5*t - 37*x - 1019 = -41*x. What is the remainder when t is divided by f?
67
Let r(a) = -a**3 + 10*a**2 - 208*a - 2397. Calculate the remainder when r(-11) is divided by 70.
52
Let t(g) be the first derivative of -g**4/2 - g**3 + g**2/2 - 18*g - 83. What is the remainder when t(-5) is divided by 39?
35
Suppose -65*f + 73*f = -24. What is the remainder when 89 is divided by (-64)/f*27/12?
41
What is the remainder when -18 - ((-1656)/12 - 19) is divided by (24/14)/((-2)/(-42))?
31
Let c = -11 + 65. Suppose 1690 + 1520 = 10*w. Calculate the remainder when w is divided by c.
51
Suppose 4*n = 4*f - 0*f + 92, n - 26 = 2*f. Let t be 1795/n - (-1)/4. Let j = t - 66. What is the remainder when j is divided by 14?
10
Suppose -9*m - 19 = 3*y - 14*m, -3*m + 6 = 0. What is the remainder when 120 is divided by -31*y/3*(2 - 1)?
27
Calculate the remainder when 2507 is divided by (6/11)/(299/36179).
65
Suppose -16*f + 32 = 5*f - 640. What is the remainder when 5405 is divided by f?
29
Suppose 159*k - 1208 = 4834. What is the remainder when 111 is divided by k?
35
Let z be (-6)/(-5)*20/6. Let f(v) = v**3 - 3*v**2 + v + 1. Let q = -4616 - -4656. What is the remainder when q is divided by f(z)?
19
Let i = 157 + -94. Let x = -7625 + 7638. Calculate the remainder when i is divided by x.
11
Suppose -3*k = -m + 27, -k = -5*m + 13 + 66. Calculate the remainder when ((-3021)/(-106))/((-3)/(-21)*14/4) is divided by m.
12
Calculate the remainder when 2171 is divided by 8/(-12)*3 - (11 + -8 - 27).
15
Suppose -2*n + 148 = -314*a + 318*a, 0 = 2*n - 5*a - 49. What is the remainder when -205*(1 + 0 + -2) is divided by n?
49
Suppose -3*h = 3*h - 486. Let p(x) = x**2 - 25*x + 158. What is the remainder when p(28) is divided by h?
80
Suppose -1308 = -70*f + 58*f. Let y = 114 - f. Suppose -3*i + 21 = -0*i. What is the remainder when i is divided by y?
2
What is the remainder when (27 - 23) + 4 + 317 is divided by 132?
61
Suppose 30*j = 25*j - 2*y + 20428, 5*j = 7*y + 20482. What is the remainder when j is divided by 36?
20
Let v(l) = -l**3 + 96*l**2 - 85*l + 260. Calculate the remainder when v(95) is divided by 266.
146
Suppose 2475 = 123*w + 42*w. Calculate the remainder when 408 is divided by w.
3
Let t = -729 + 734. Suppose 25 = t*r, -455 = -3*j + r + 4*r. What is the remainder when j is divided by 11?
6
Let i be 1/2 - 638/(-4)*1. Suppose -i = 22*o - 26*o. Calculate the remainder when 72 is divided by o.
32
Suppose -3 = 4*z - 11. Suppose -v + 10 = -4*t, 0 = z*v + 4*t - 11 - 9. Let b(r) = -32*r. Calculate the remainder when b(-4) is divided by v.
8
Suppose 16 = 5*i - i, 4*k + 2*i + 229048 = 0. What is the remainder when k/(-112) + 2 + 32/(-14) is divided by 57?
55
Let d(q) = -2*q**2 - 77*q + 572. Calculate the remainder when d(-40) is divided by 220.
12
Let f = 2110 - 1919. What is the remainder when f is divided by 28?
23
Let g(d) be the first derivative of d**3/3 + 7*d**2 + 61*d + 68. What is the remainder when g(-8) is divided by 2?
1
Let v(u) = 3*u - 15. Let s = -35 + 35. Suppose p - 8 = -s*p. What is the remainder when 52 is divided by v(p)?
7
Let v(d) = -d**3 + 3*d**2 + 3. Let t = 88 + -85. Let u be v(t). What is the remainder when ((-564)/24)/((u/2)/(-3)) is divided by 26?
21
Suppose 4625 = 3*r - 2*x, -5*x = -3*r + 284 + 4353. Calculate the remainder when r is divided by 27.
0
Let n(u) = -u**2 - u + 29. Let m be (-2 - -4)/4*0. What is the remainder when (-166880)/(-1176) + 6/63 is divided by n(m)?
26
Calculate the remainder when 157 is divided by 69/(-6)*(1 + (-3)/1).
19
Let x be (-57)/133 + ((-22462)/(-14) - 3). Suppose -1605*u + x*u = -328. What is the remainder when 245 is divided by u?
81
Calculate the remainder when (-7 - (-10452)/30)*(1 + 4 + 0) is divided by 171.
168
Let x = -11800 + 11822. Suppose 0 = -2*w + 234 - 30. What is the remainder when w is divided by x?
14
Let b(t) = t**3 - 3*t**2 + 11*t - 6. Let q be b(6). What is the remainder when (54/24)/(6/q) is divided by 13?
11
Suppose -4*f + 212 = 4*s, 151 = 5*s + 2*f - 99. Let r = s - 30. Let q = 130 + -117. What is the remainder when r is divided by q?
5
Suppose 0 = 21*t - 488 - 352. Suppose -2674 = -23*h + t. Calculate the remainder when h is divided by 60.
58
Let z(a) = -3*a - 9. Let g be z(0). Let i be ((-6)/18)/(1/g). What is the remainder when 33 is divided by 7 + -4 + -15*i/(-3)?
15
Let j = -2956 + 3012. What is the remainder when 238 is divided by j?
14
Let j(x) = -x**3 - 10*x**2 + 15*x - 99. Suppose g + 136 = 2*f, 75 - 400 = -5*f - 5*g. Let u = 129 - f. What is the remainder when u is divided by j(-12)?
8
Let u(d) = -28*d + 120. Let f = -14 - -33. What is the remainder when u(3) is divided by f?
17
Let t(b) = -5*b - 124. Let o = -64 - -32. What is the remainder when 112 is divided by t(o)?
4
Let y be 1/((-72)/40 + (-2)/(-1)). Calculate the remainder when (y - -81)/(2/6) is divided by 26.
24
Suppose -2*q + 11 = 3*t, 2*t = 5*q + 8 + 12. Suppose -4*w + 5*u = w - 205, -125 = -3*w + t*u. Calculate the remainder when 118 is divided by w.
38
Suppose 3*b + 46 = 2*d, 0*b = b - 3*d + 27. Calculate the remainder when 240 is divided by (-6)/b*162*1/3.
24
Let i be 8/60*-5 - (-6646)/6. Suppose -i = -15*p - 12*p. Calculate the remainder when 201 is divided by p.
37
Let y(w) = -4*w + 6. Let k be y(-11). Suppose 5*g - 5*x = k, 3*g - 5*g + 5*x + 14 = 0. What is the remainder when (-190)/(-8) + -3*2/8 is divided by g?
11
Let p(b) = -145 - 44*b - 73 + 46 - 69. What is the remainder when 79 is divided by p(-6)?
10
Let k = 99 - 95. Suppose -3*d + 52 = 5*s, -k*d - s + 77 = 2. Suppose 79 = 4*y - 141. Calculate the remainder when y is divided by d.
17
Let a(z) = -z**3 + 31*z**2 + 33*z - 30. Let p be a(32). Suppose -p*m - 4*k + 16 = 0, 6*m - 44 = 2*m - 5*k. What is the remainder when 141 is divided by m?
13
Let u(n) = n**2 - 8*n + 1. Let i be u(9). Let y(h) = -h**3 + 9*h**2 + 14*h - 3. What is the remainder when y(i) is divided by (120/3)/(2*1)?
17
What is the remainder when 969 is divided by (136/(-425))/(2/(-1010))*90/36?
161
Let j = -6680 - -7382. What is the remainder when j is divided by 76?
18
Suppose 6*w - 58 = 7*w. Let j = -47 - w. Let q(k) = 8*k - 20. Calculate the remainder when q(7) is divided by j.
3
Let d be (11 - 0) + (-4221)/469. Let c = -12 - -21. Suppose -3*r = -c, g - 3 - 15 = -d*r. Calculate the remainder when 46 is divided by g.
10
Suppose a + 10*a - 4*t = 6706, 3*a - 4*t - 1826 = 0. Calculate the remainder when a is divided by 128.
98
Let y(t) = 24*t**2 - 20