et y = w - -511. Calculate the remainder when y is divided by 54.
52
Suppose 0 = 160*l - 164*l + a + 41, 0 = 4*a + 4. Calculate the remainder when 1850 is divided by l.
0
Let p be 4*(1 - 3/(-12))*-2. Let s be 121/(-55) + (-2)/p. Calculate the remainder when 72 is divided by 3*(-1)/(s/10).
12
Let r(u) = 14*u - 32 - 30*u**3 + 9*u**3 + 11*u**3 + 9*u**3 + 10*u**2. Calculate the remainder when r(10) is divided by 53.
2
Suppose 0 = -a - 3 - 1. Let m(o) be the third derivative of -o**6/120 - o**5/30 + o**4/6 + 1498*o**2. What is the remainder when 142 is divided by m(a)?
14
Let j be 0 - 6/(-4)*38. Suppose o + 2*l = j - 11, -4*o + 184 = 4*l. Let a = o + 13. Calculate the remainder when a is divided by 15.
14
Suppose 54*h + 61*h - 118*h = -186. What is the remainder when 383 is divided by h?
11
Let k(i) = i**2 + 4*i**2 - 3*i - i**3 + 5*i**2 - 8 - 5*i**2. Let b be k(4). Calculate the remainder when 1*b - (-30 + -4) is divided by 17.
13
Suppose 192 = 10*p - 7758. Suppose 0 = -36*n + 37*n - 57. What is the remainder when p is divided by n?
54
Let w be (-271)/3 + 12/(-18). Let m = w + 111. Calculate the remainder when 56 is divided by m.
16
Suppose 16*t - 4*w - 1340 = 12*t, -w = -4*t + 1334. Let r = -322 + t. What is the remainder when 35 is divided by r?
2
Let q = -58 - -60. Suppose -q*z = 6*z - 192. Let v = z - 8. Calculate the remainder when 63 is divided by v.
15
Let l(a) = a**3 - 5*a**2 - a + 22. Let f be l(5). What is the remainder when 72 is divided by (f - 1) + (1 - 2)?
12
Suppose 250 - 3998 = -5*m + x, 0 = 2*m - 5*x - 1513. What is the remainder when m is divided by 75?
74
Suppose 0 = -k + 5, -5*p + 5*k = 6*k - 1170. Let z = p - 99. Let l(u) = 149*u + 2411. What is the remainder when z is divided by l(-16)?
26
Suppose -540*u - 17419 = -107059. Let v = -35 + 77. Calculate the remainder when u is divided by v.
40
Suppose 0 = 308*i - 320*i + 72. Calculate the remainder when 62 is divided by i.
2
Suppose 0 = -p + 2*b - 3*b - 194, 4*b = 3*p + 617. Let c = p - -378. Calculate the remainder when c is divided by 45.
44
Let s(g) = -10*g - 2*g**2 + g**2 - g**2 + 5*g**2 - 11. Let w be 13 - (-16)/8*-4. Calculate the remainder when s(w) is divided by 8.
6
Suppose -45 = -4*v + 5*g, -3*v + 5*g = -25 - 5. Let p(d) = 149*d + 2. Calculate the remainder when p(5) is divided by v.
12
Let b(k) = 7*k**2 - 6*k - 8. Let g be 10/((1 + -3)/1). Let a be (0 - g)*(2 - 1) - -1. What is the remainder when b(a) is divided by 35?
33
Let w = -21380 - -21400. What is the remainder when 1033 is divided by w?
13
Let l(f) = 6*f**2 + 250*f - 602. Let w be 2 - (6 - 2) - -2. Suppose w*x + x - 36 = 0. What is the remainder when x is divided by l(-44)?
8
Suppose -3364 = 5335*t - 5451*t. Let q(v) = -10*v**3 + 2*v**2. What is the remainder when q(-3) is divided by t?
27
Suppose -42 = -g + 2*z, 48 = -3*g - 2*z + 206. Suppose -x - 3*x + 68 = 0. Calculate the remainder when g is divided by x.
16
Let n be ((-9)/2)/3*-2. Let l be 34/n + 5/(-15). What is the remainder when 111 is divided by (-26)/(-143) + 207/l?
16
Suppose -7*s - 4*y = -10*s + 146, 4*s = -4*y + 204. What is the remainder when 846 is divided by s?
46
Let p = 1413 - 1259. Calculate the remainder when 532 is divided by p.
70
Suppose 2*o - 2*y = 48, -5*y = -0*o + 3*o - 40. Suppose 2*t - 3*t + o = 0. Calculate the remainder when 135 is divided by t.
15
Let p be (-568)/(-22) + (-4)/(-22). Let t = 97 - p. Let w = t - 28. What is the remainder when w is divided by 23?
20
Suppose -3*x + 3*v + 1347 = 0, 9*x - 1772 = 5*x - 2*v. What is the remainder when x is divided by 34?
3
Let f = -72 - -62. Let y be (-250)/4 + 15/f. Let x = 102 + y. What is the remainder when 75 is divided by x?
37
Let u = -155 + 273. Let k = 73 - u. Let n = k + 48. Calculate the remainder when 5 is divided by n.
2
Let h = -4810 + 5479. Calculate the remainder when h is divided by 58.
31
What is the remainder when -1 - (1546/(-6))/(55/165) is divided by 18?
16
What is the remainder when 77 is divided by 58 - 42/30*-5?
12
Suppose 4*i - 2*w = -0*w + 830, -3*w = -4*i + 833. Suppose -3*d = -d - i. Let f(p) = -7*p**2 + 157*p - 685. What is the remainder when d is divided by f(16)?
33
Let l(w) = -w**3 - 9*w**2 + 51*w + 18. Suppose -14*y = 45 + 137. What is the remainder when l(y) is divided by (27/15)/(2/10)?
4
Suppose b - 40 = -0*b + 4*y, -47 = -b - 3*y. Let i = 265 - b. What is the remainder when i is divided by 4?
1
Suppose 70*l + 5740 = 105*l. What is the remainder when 221 is divided by l?
57
Suppose 3*b - 2*o - 126 = o, -2*b - 5*o = -112. Suppose b*i - 84 = 39*i. Calculate the remainder when ((-64)/(-10))/(3/15) is divided by i.
8
Let a(k) = -87*k**2 + 3*k. Let o be a(1). Let y(b) = -2*b**3 - 10*b**2 - 10*b - 7. What is the remainder when y(-6) is divided by 24/o + (-300)/(-21)?
13
Suppose 0 = 4*i + 236 - 256. Suppose -2*n - 2*s = -3*n + 443, 4*s - 2257 = -i*n. Calculate the remainder when n is divided by 116.
101
Suppose -239 = -3*h + 5*x, -h + 0*x + x = -81. Let l(n) = -8*n + 9. Let w be l(-6). Calculate the remainder when h is divided by (-4)/(-12)*(w + 6).
20
Let a(l) = 254*l + 3685. What is the remainder when 4124 is divided by a(-14)?
125
Suppose -2*d - 11*f = -12*f - 44, -5*d + 104 = -f. Calculate the remainder when 262 is divided by d.
2
What is the remainder when 1990 is divided by (-1)/((-8)/2637) - 2*27/(-144)?
10
Suppose 3*i = 5 + 13. Let g(r) = -r**2 + 77. Calculate the remainder when g(0) is divided by 69/(-46)*(1 + (-70)/i).
13
Let c = 746 + -740. What is the remainder when (-13 - -11)*(-141)/c is divided by 11?
3
Let j(f) = -f**3 - 41*f**2 - 35*f + 213. Calculate the remainder when 128 is divided by j(-40).
11
Let t(x) = x**2 - 5*x + 16. Let y be t(5). Suppose -20*o + 292 = -y*o. Let d = -18 - -43. Calculate the remainder when o is divided by d.
23
Suppose d = -2*d + 15. Let o be 1/d + (-476)/(-20). What is the remainder when 1 + (-16)/(-4) + o is divided by 6?
5
Calculate the remainder when 2481 + (-10 - (-2 - 7) - -5) is divided by 8.
5
Let p = -1423 - -1545. What is the remainder when 248 is divided by p?
4
Let k be (-6)/(-4)*(-480)/(-36). Suppose 5*r - 631 = 4*s, -k*s + 8 = -22*s. What is the remainder when r is divided by 42?
39
Let f(q) = -q**2 - 3*q + 2. Let v be f(0). Suppose v*r - 36*a + 31*a = 60, -24 = -r + a. Calculate the remainder when 124 is divided by r.
4
Let q(s) = s**2 + s - 73. Let h = 97 + -94. Let i(y) = -3*y**2 - 2*y + 220. Let p(d) = h*i(d) + 8*q(d). Calculate the remainder when p(0) is divided by 16.
12
Let q = 72 + -121. Suppose -5*l + 8*l - 102 = 0. Calculate the remainder when l is divided by (-1)/4 - q/4.
10
Let y = -882 - -857. Let d(l) = -l**3 - 25*l**2 - l - 13. Suppose -55 = -5*g + 115. Calculate the remainder when g is divided by d(y).
10
Let i = 1597 + -1371. What is the remainder when i is divided by 39?
31
Let x(c) be the second derivative of -c**5/20 - 5*c**4/6 + c**3 - 13*c**2 + 37*c. Calculate the remainder when 74 is divided by x(-11).
16
Let k(o) = -o**3 + 6*o**2 - 4*o - 4. Let a be k(5). Suppose -7*h = -8 + a. Let g(n) = 38*n + 5. Calculate the remainder when g(h) is divided by 22.
21
Suppose -83*c + 156*c = 161184. Calculate the remainder when c is divided by 34.
32
Let j(h) = 6*h**3 - 23*h**2 + 10*h + 25. Calculate the remainder when j(6) is divided by 111.
109
Let w(z) = z**2 - 5*z + 9. Let p = 0 + 6. Let t be w(p). Suppose -4*m - 2*o = -34, -4*m + 5*o + t + 54 = 0. Calculate the remainder when 30 is divided by m.
8
Let v(r) = -r**3 + 4*r**2 + 14*r - 10. Let l be (-296)/(-56) + (-4)/14 + 0. What is the remainder when 139 is divided by v(l)?
34
Suppose -63 = 49*k - 1484. Calculate the remainder when 287 is divided by k.
26
Let m = -2786 + 2872. Calculate the remainder when 780 is divided by m.
6
Let j = -104 + 265. Let p = -56 + j. Calculate the remainder when p is divided by 47.
11
Suppose 2*l + 2 = 4*j, -4*l + j - 2*j + 14 = 0. Suppose 0 = 4*i - 16, 41*c + l*i = 42*c - 67. What is the remainder when c is divided by 16?
15
Let x = -165 - -111. Let j(o) = 2*o**2 + 13*o - 348. Let r be j(10). Let z = r - x. What is the remainder when z is divided by 19?
17
Let k(d) = -d**3 + 27*d**2 - 111*d + 1531. Let q(z) = 14*z - 2. Calculate the remainder when q(3) is divided by k(25).
4
Calculate the remainder when 984