).
0
Let r(s) = -55*s - 120. Let m be r(-16). Suppose 8*w + m = 28*w. Calculate the remainder when 162 is divided by w.
10
Let r(g) = 2*g**2 - 33*g + 336. What is the remainder when r(8) is divided by 28?
4
Let a = -33870 - -37798. Calculate the remainder when a is divided by 1305.
13
Let t(y) = 996*y + 19130. What is the remainder when t(-19) is divided by 18 + (-9)/3 + 0?
11
Let p(b) = b**2 + 6. Suppose 4*a - 1503 = -271. Calculate the remainder when a/6 - 34/102 is divided by p(0).
3
Let l be (-5 - 0)*12/(-10). Suppose -3*y - 39 = -l*y. Let x(v) = -v**2 + 14*v. What is the remainder when 23 is divided by x(y)?
10
Suppose 3*j = -2*u + 861, -6*u = -4*u. Let v = -262 + j. What is the remainder when 94 is divided by v?
19
Let b(p) = p**3 - 5*p**2 + 5*p - 10. Let w be b(7). Suppose -18 = 5*k - w. Let y = 1094 + -970. What is the remainder when y is divided by k?
19
Suppose n - 91 = 4*g - 5*g, 0 = -3*n - 4*g + 276. Let d = n - 10. What is the remainder when 150 is divided by d?
72
Suppose 5*r - 80 = 10*r. Let v be r*(0 + 4 + -2). Let c = v + 36. What is the remainder when 13 is divided by c?
1
Let a = 455 - 420. What is the remainder when 82 is divided by ((-196)/a)/(16/(-120))?
40
Let y = 609 - 609. Suppose 12*q = 9*q - 3, 2*f + 4*q - 676 = y. What is the remainder when f is divided by 19?
17
Let q be 1/(110/420 - 4/42). Suppose -64 + 40 = -q*a. Calculate the remainder when 51 is divided by a.
3
Suppose 481*s = 349293 + 1215400. What is the remainder when s is divided by 7?
5
Suppose -t + 4*t = -45. Let n = 26 + t. What is the remainder when 88 - (51 - -1104)/33 is divided by n?
9
Suppose 5*v + 27 = w, -2*w - 11 = 6*v - 3*v. Calculate the remainder when 15 + 5 + (-40)/(-5) is divided by w.
0
Let x(i) be the second derivative of -i**5/20 - i**4/4 - i**3/3 + 3*i**2/2 - i. Let m = -783 - -779. Calculate the remainder when 105 is divided by x(m).
24
Suppose 3*k + 2*a - 10 = 0, 11*k + a + 8 = 16*k. Suppose k = -7*r + 198. Calculate the remainder when 111 is divided by r.
27
Let s(a) = a**2 - 56*a - 483. What is the remainder when 158 is divided by s(65)?
56
Let q(u) = u**2 + 82*u + 219. What is the remainder when q(0) is divided by 93?
33
What is the remainder when 30157783/4759 - ((-1 - 7) + -1) is divided by 219?
214
Let j(z) = 10610*z - 243869. What is the remainder when j(23) is divided by (1 + 17)/(1/1)?
17
Calculate the remainder when 1671 is divided by 16*(-20)/(3040/(-323)).
5
Suppose 4*z = 2*z - 5*g + 150, 0 = -5*z - 4*g + 358. Let u = 110 - z. What is the remainder when 47 is divided by u?
7
Let m = 6 - 2. Calculate the remainder when (2 - -10)*(-590)/(-1416) is divided by m.
1
Suppose -88 - 64 = -4*i. Let s be ((-1)/(-1))/((-1)/224) - 5. Let r = 239 + s. What is the remainder when i is divided by r?
8
Suppose -126654 = -29*b - 23*b - 5*b. What is the remainder when b is divided by 42?
38
Let x(y) = -y**2 - 15*y + 36. Suppose 3*s + 18 - 15 = 0. Let h be (-3)/(-2) + s + (-280)/16. What is the remainder when 14 is divided by x(h)?
0
Let y(a) = -31*a - 313. Let r(s) = 60*s + 628. Let m(d) = 2*r(d) + 5*y(d). What is the remainder when 374 is divided by m(-11)?
70
Suppose -3*b + 81 = -0*b. Let m(o) = 4*o - 86. Let c be m(36). Suppose c*h - 53*h = i + 255, -i - 47 = -h. What is the remainder when h is divided by b?
25
Let q(w) = w**3 + 7*w**2 - 4*w. Let d be q(-6). Let x be (16/12 - 0)*d. Calculate the remainder when 2/5 - (-3568)/x is divided by 12.
9
Let o(f) = f**3 + 6*f**2 - 6*f - 15. Let t be o(-6). Let m(p) = -t*p + 8*p + 9 + 12*p. Calculate the remainder when 31 is divided by m(-3).
7
Suppose -433 = -11*s + 165 - 136. Suppose 0 = -q - 2*q + 45. Suppose 12 + q = 3*c. What is the remainder when s is divided by c?
6
Let o = 2214 - 2207. What is the remainder when 52 is divided by o?
3
What is the remainder when 2573 is divided by (-2)/(-12) - (918/(-54) + (-38)/(-12))?
11
Suppose 0 = 19*r - 1371 - 6894. Let c = -191 + r. What is the remainder when c is divided by 41?
39
Suppose -44*t - 17*t = 108*t - 389545. What is the remainder when t is divided by 1151?
3
Let y(z) = -z**3 - 12*z**2 - z + 2. Let v be 12/(-9)*(16 + (0 - 7)). Calculate the remainder when 24 is divided by y(v).
10
Suppose 33*d - 32*d = -4*u + 857, -2*u - d = -427. What is the remainder when u is divided by 96?
23
Let y be (2/((-8)/54))/((-9)/90). Let x = y + -87. Calculate the remainder when x is divided by 17.
14
Suppose -34*t + 38*t = 900. Calculate the remainder when t is divided by 11.
5
Suppose 10 = 30*d - 28*d - 5*h, -3*h = -3*d + 42. What is the remainder when 7739 is divided by d?
19
Suppose -8553 = -41*j - 2034. Calculate the remainder when 320 is divided by j.
2
Suppose 0 = 46*k - 1008 - 17353 + 2583. Suppose 29*q - 33*q = -92. Calculate the remainder when k is divided by q.
21
Let a = 1516 + -826. Let t = -618 + a. Calculate the remainder when 207 is divided by t.
63
Suppose 3*z - 609 = -q, 3*z = 4*q - 2035 - 476. Let n = q - 577. What is the remainder when 515 is divided by n?
45
Suppose 1641 = 14*f - 924 + 871. What is the remainder when f is divided by 7?
2
Let a(f) = f**3 + 14*f**2 - 55*f - 40. Let v be a(-18). Let g = -338 - v. Calculate the remainder when 74 is divided by g.
2
Suppose -3*s - 5*r + 1414 = -2170, 0 = -5*s + 5*r + 6000. What is the remainder when s is divided by 48?
46
Suppose -467*t = -459*t - 160. Let l(y) = y + 18. Let h be l(-10). Calculate the remainder when (-4 - 0)/(h/(-196)) is divided by t.
18
Let i = 470 + -917. Let x = -338 - i. What is the remainder when x is divided by 28?
25
Let i(c) = c**2 + 115*c - 4706. What is the remainder when 733 is divided by i(-149)?
13
Let k = -12496 - -2662. Calculate the remainder when k/(-231) - (-3)/(-14)*-2 is divided by 35.
8
Let p(h) = 8*h - 55. Let k(y) = 19 - 2*y + 5 - 10. Let a(o) = -26*k(o) - 6*p(o). What is the remainder when 38 is divided by a(12)?
10
Calculate the remainder when -3 + (13220/2)/5 is divided by 40.
39
Suppose u - 4*v = -59, -2*u - 3*v + 38 - 101 = 0. Let p = u + 41. Suppose p*z + 30 = 5*o - 2, -4*o = -5*z - 29. What is the remainder when o is divided by 4?
2
Let s(w) = 7*w**2 - 2*w + 2. Suppose 1610*n - 193170 - 218990 = 0. What is the remainder when n is divided by s(2)?
22
Let n(x) = -x**3 + 10*x**2 + 14*x + 18. What is the remainder when n(7) is divided by 131?
1
Let j = -191 - -155. Let v = j + 278. Calculate the remainder when v is divided by 27.
26
Let z(v) = v**3 + 44*v**2 + 7*v - 1004. What is the remainder when z(-43) is divided by 13?
11
Let s(j) = -j**2 - 21*j + 9. Let n be s(-21). Suppose n*v - 12*v + 99 = 0. What is the remainder when v is divided by 9?
6
Let j = 123 + -106. Suppose 5*s + n = 50, 4*n + j = 4*s + 1. Let u = s - -4. What is the remainder when 140 is divided by u?
10
Suppose -3*c = 60*g - 64*g - 9875, 4*g = 5*c - 16469. Calculate the remainder when c is divided by 165.
162
Let p = -7407 - -7499. Calculate the remainder when 35050 is divided by p.
90
Let z(c) = -c**2 - 22*c + 285. What is the remainder when 1347 is divided by z(8)?
42
Suppose 5*j + 3*x = 43, 4*x - 2*x - 36 = -4*j. What is the remainder when (-2 + 50)/((-3)/(-2)) is divided by j/((-24)/(-18) - (-1)/(-3))?
10
What is the remainder when 8204 is divided by (22/(-1))/(-265 - -263)?
9
Suppose 0 = -4*l - 3 + 23. What is the remainder when 226/10 - (-2)/l is divided by 19386/1080 + 2/40 - 10?
7
Suppose 3213 = -42*u + 93*u. Calculate the remainder when 1258 is divided by u.
61
What is the remainder when 556 is divided by 8/1*((-399)/(-42) + 5)?
92
Let w(k) = -k**2 + 133*k - 858. What is the remainder when 738 is divided by w(125)?
28
Suppose 266*c - 262*c + 1120 = 0. Let r = 307 + c. Suppose 2*x = 3*x - 132. What is the remainder when x is divided by r?
24
Let y(m) = -2 - 2 - 7 - 2*m. Let a be y(-8). Suppose -a*f + p + 138 = -54, -5*p = f - 54. What is the remainder when 154 is divided by f?
37
Suppose -5*a + 8 = -4*o, -2*o + 10 = 2*a - a. Suppose -a*y + 2*j - 15 = -69, 4 = -4*j. Calculate the remainder when 181 is divided by y.
12
Let l = -68 - -53. Calculate the remainder when l*(96/(-10) + (-10)/(-5)) is divided by 29.
27
Suppose 0 = 8*k - 13*k + 4*j + 1219, -j - 1201 = -5*k. What is the remainder when 517 is divided by k?
39
Suppose -9*k = -14*k + 300. Suppose -3*d - 4*h + 19 = -16, 2*