w = 440 + -830. Let r = w + 628. Calculate the remainder when r is divided by 40.
38
Let u(q) be the second derivative of -q**4/6 - 3*q**3/2 - q**2 + 54*q. Calculate the remainder when 24 is divided by u(-3).
3
Let y(d) = 3*d**3 + 2*d - 1. Let u be y(1). Let v(h) = 10*h. Suppose -279 - 544 = -182*a + 1725. Calculate the remainder when v(u) is divided by a.
12
Let f = 3208 - 3111. Calculate the remainder when 283 is divided by f.
89
Suppose -5*z + 164 - 19 = 0. Calculate the remainder when z is divided by (25 + -27)*((1 - (9 + 2)) + 4).
5
Suppose -92*g = -95*g + 5*s + 607, 201 = g - 3*s. What is the remainder when 1423 is divided by g?
199
Suppose 0 = -17*n + 9651 - 879. Suppose 0 = 15*t - n - 279. What is the remainder when 162 is divided by t?
3
Suppose -2*k - 2*w + 378 = 0, -4*k + 189 = -3*k + 3*w. What is the remainder when k is divided by -152*21/(-168)*2?
37
Suppose -1274 = -30*b + 946. What is the remainder when 1033 is divided by b?
71
Suppose -4*m - 16 = 0, -m + 144 = 5*h - 57. Calculate the remainder when 141 is divided by h.
18
Let g = 2115 + -2079. Calculate the remainder when 52 is divided by g.
16
Suppose 2*h + 854 = g + 299, -3*g = -9. Let w = -257 - h. Calculate the remainder when 37 is divided by w.
18
Suppose -14*t = -3*i - 16*t + 41682, -5*t + 55590 = 4*i. What is the remainder when i is divided by 92?
90
Suppose 0 = 5*t + 2*d - 40, 2 + 14 = 2*t - d. Calculate the remainder when 19 is divided by t + (-2 - (-4 - 2)).
7
Suppose r - 4*j - 23 = -j + 116, -4*j = 0. Calculate the remainder when 3474 is divided by r.
138
Let u(l) = -2*l**3 + 4*l**2 + 17*l - 31. Let s be u(5). Let x = -83 - s. What is the remainder when 191 is divided by x?
9
What is the remainder when 91 + (-256)/(-80)*5 is divided by 71?
36
Suppose 4*v = -2*l - 0*l, 2*v = l. Let o be l/7 + (2/2 - -4). Suppose o*u - 222 = -5*r + 178, r + 300 = 4*u. Calculate the remainder when u is divided by 13.
11
Let h(n) = n**3 - 20*n**2 + 2*n - 23. Suppose b + a = 18, -4*b + 3*a = -79 - 7. What is the remainder when h(b) is divided by -2 - (2 + -8)*2?
7
Let j(p) = 3*p**2 - 19*p + 17. Let f be j(6). Suppose 0 = -f*r + 122 + 142. What is the remainder when 90 is divided by r?
18
Let g(z) = -63*z - 32. Suppose 0 = 2*o + u - 33 - 0, 4*u = 12. What is the remainder when g(-5) is divided by o?
13
Suppose 85 = c - 233. Suppose 0*p = -3*p + c. Suppose 0 = 6*k - 56 - 160. Calculate the remainder when p is divided by k.
34
Let s be (5 + -3)*(0 + -1)/2. Let v be ((-39)/(-9) + s)/((-4)/(-30)). Suppose -44 = 23*h - v*h. What is the remainder when 129 is divided by h?
19
Let j = 90 + -61. What is the remainder when (5 + 2 + -62)/(-1 - 0) is divided by j?
26
Let t(l) = 77*l**2 + l. Let g(f) = -8*f**2 - 276*f - 408. What is the remainder when g(-32) is divided by t(1)?
76
Let h(x) be the first derivative of -5*x**4 - 4*x**3/3 - 4*x**2 - 4*x + 188. Suppose 0 = 2*c + c - 27. Calculate the remainder when h(-1) is divided by c.
2
Suppose 104 = -50*i + 37*i. Calculate the remainder when 58/i*(-21)/((-126)/(-24)) is divided by 5.
4
What is the remainder when (2/(-7))/((-419)/164248) is divided by 22?
2
Let v(t) = -411*t + 623. What is the remainder when 472 is divided by v(1)?
48
Suppose -9*q + 672 + 687 = 0. Let v = q + -148. Let z(h) = -h**2 + 6*h + 6. Calculate the remainder when z(5) is divided by v.
2
Let v(l) = 35*l + 219. What is the remainder when 1241 is divided by v(-6)?
8
Suppose -4*k + 228 + 948 = 0. Let d = k + -281. Calculate the remainder when 38 is divided by d.
12
What is the remainder when (-4)/5 - (-7420)/25 is divided by 4 + (-52)/12 + (-80)/(-6)?
10
Let n(t) = t**3 - 10*t**2 + 9*t - 12. Let c be (-18)/(-16) + -1 - 474/(-48). Calculate the remainder when n(c) is divided by 17.
10
Let l(r) = 622*r**2 + 16*r + 5. Calculate the remainder when l(-2) is divided by 82.
1
Let y be ((-1605)/30)/(1/2). Let s = 197 + y. Suppose 0 = -6*f + s + 282. What is the remainder when f is divided by 16?
14
Calculate the remainder when (-2236291)/(-2509) - 4/13 is divided by 876.
15
Let g be (5 - -38) + 0/(-2 - -5). Suppose 0*k + k - 55 = 2*r, k - g = -r. What is the remainder when k is divided by 10?
7
Let h(g) = 86*g**2 - 241*g + 2008. Calculate the remainder when h(8) is divided by 49.
47
Let s be (-6 + 0)*(1 - 3/6). What is the remainder when (-15)/(s*6/306) is divided by 65?
60
Suppose -2347 + 2187 = -8*p. What is the remainder when 2/(-7) + 6870/35 is divided by p?
16
Suppose -2*m + 4 = -8. Suppose -12 = -3*g - 5*q + 25, -3*g - 3*q + 51 = 0. Calculate the remainder when g is divided by m.
0
Suppose 680 - 12078 = -202*p - 76*p. Calculate the remainder when 90 is divided by p.
8
Suppose -b + 5 - 6 = 0, -5*h + 165 = 5*b. Let k = 17 + -12. Calculate the remainder when h is divided by k.
4
Suppose 18 = 35*c - 52. Suppose 0*u + 5*u + 122 = 3*x, u - 77 = -c*x. What is the remainder when 84 is divided by x?
6
Let r(v) = 2*v**3 - 32*v**2 - 4*v + 329. Calculate the remainder when 1637 is divided by r(16).
47
Let o(y) = 560*y + 3780. What is the remainder when o(-5) is divided by 34?
28
Suppose -587 = 2*n - 11*n - 11. Calculate the remainder when n is divided by 41.
23
Let g(c) = -3*c + 13 - c**3 - 10*c**2 - 3*c - 4*c. What is the remainder when (30/(-18))/(4/(-420)) is divided by g(-9)?
21
Let z(i) = -46*i - 294. What is the remainder when z(-11) is divided by 73?
66
Suppose -50880 = -74*s + 14388. Calculate the remainder when s is divided by 277.
51
Suppose -3*s + 2*h + 45 = -0*h, 2*h - 6 = 0. Suppose 187 = 3*y - 4*u, 258 = 5*y - y - u. Suppose 35 = -5*a + y. What is the remainder when s is divided by a?
5
Let l = 33 + -13. Calculate the remainder when l is divided by ((-60)/(-75)*-4)/(-3 - (-13)/5).
4
Suppose -5*v + n - 7 = 0, -2*v + 3 = -3*n - 2. Calculate the remainder when 56/8 + (-654)/v is divided by 20.
14
Let v = -2191 - -2216. Calculate the remainder when (-9810)/(-12) - -8 - (-6)/(-4) is divided by v.
24
Let t(b) = 4*b**2 - 32*b - 162. Suppose -5*i - 5*f = 50 - 190, -5*i - 3*f = -138. Calculate the remainder when t(12) is divided by i.
3
Let s(y) = -27*y**3 - 35*y**2 - 39*y + 60. Calculate the remainder when s(-9) is divided by 9.
6
What is the remainder when 500 is divided by (-2488)/(-44) + (-72)/132?
52
Suppose -80 = -7*n - 3*n. Suppose -z - 23 = -5*a - 0*z, 2*a - n = z. Calculate the remainder when a is divided by 4.
1
Let h(m) be the first derivative of -2*m**3/3 - 13*m**2/2 - 6*m + 5. Let p be h(-5). Let f(d) = 4*d - 20. What is the remainder when 44 is divided by f(p)?
12
Let z(v) = 4*v**2 + 5*v**2 - 9 - 12*v - 3*v - 10*v**2. What is the remainder when 18 is divided by z(-14)?
3
Let l(q) = -q**2 - 5*q + 2. Let d = 38 - 34. Suppose 0 = -d*k - 3*v + 88, k + 2*v - 22 = -0*k. What is the remainder when k is divided by l(-4)?
4
Let x(a) = 2*a**2 - 20*a + 8. Let q be x(10). What is the remainder when 18 is divided by q/(-3)*87/(-58)?
2
Suppose 66*k = -64*k + 124*k + 4968. What is the remainder when k is divided by 17?
12
Let s = -114 - -117. Suppose s*u - 30 = -3*u. Suppose -2*c = -4 + 2, 0 = -2*i + 2*c + 36. Calculate the remainder when i is divided by u.
4
Let s(l) = -20*l**2 - 1185*l + 312. Calculate the remainder when s(-58) is divided by 302.
252
Suppose 3*a - 4*a + 31 = -5*h, 5*h + 20 = 0. Let p(l) = -l**2 + 12*l + 1. Let z be p(6). Suppose -z = 3*t - 103. What is the remainder when t is divided by a?
0
Suppose 73*o + 2922 = 11252 + 6416. What is the remainder when o is divided by 55?
37
Suppose 6*l = 9*l + 9, 3*j + 6 = -2*l. Suppose -4*z + 939 + 773 = j. Calculate the remainder when z is divided by 54.
50
Let c = -91 - -162. Let q(v) = -v**3 - 40*v**2 + 3*v + 126. Let l(p) = p**2 + 27*p - 40. Let h be l(-27). Calculate the remainder when c is divided by q(h).
5
Let q(m) = -22*m - 582. Calculate the remainder when q(-102) is divided by 32.
30
Let j = 559 - 429. Suppose -74 - j = -17*v. Suppose -5*l = -217 - 3. What is the remainder when l is divided by v?
8
Suppose -3*g + 224 - 11 = 0. Suppose 0 = -5*q + 8*q - 72. Suppose q*n - 19 = 23*n. Calculate the remainder when g is divided by n.
14
Suppose 8 = -11*h + 7*h + 3*u, 0 = 2*h - 4*u + 14. Calculate the remainder when 76 is divided by 4/16*12 + h.
0
Let i = 41 + -7. Suppose -5*l + 336 = 4*t, -t + 8 = t. Calculate the remainder when 