+ 108, -5*s + 67*c = 63*c - 135. Let k = p - s. What is the remainder when k is divided by 2?
1
Suppose -48 = -n + 33. Let d(k) = -k**3 + 9*k**2 + 21. Calculate the remainder when n is divided by d(9).
18
Suppose -85*n - 4655 = -22505. What is the remainder when n is divided by 32?
18
Let k(b) be the second derivative of -b**3 + 24*b**2 + b - 3. Calculate the remainder when 17 is divided by k(7).
5
Suppose -4*g + 8 = 0, 0*g - 2*g = -5*s + 26. Let x = -9 - -4. Calculate the remainder when 17 is divided by (28/s)/(x + (-51)/(-9)).
3
Suppose 0 = -4*i + 8 + 4. Suppose 4*n + 10 = z, -i*n - 2*n = 2*z + 32. What is the remainder when (-361)/(-114) - (-1)/z is divided by 3?
0
Let y(t) = 30*t - 135. Let q be y(-43). What is the remainder when 143 is divided by (-4)/(-18) + (-2)/(54/q)?
37
Suppose u = 5*u - 12. Suppose 4*h = 4*s - 68, s - 34*h = -30*h + 17. What is the remainder when s is divided by u?
2
Let m = 1416 + -1341. Let y(f) = 369*f**2 + 8*f + 7. What is the remainder when y(-1) is divided by m?
68
Let t(d) be the first derivative of -d**4/4 + 3*d**3 + 3*d**2 - 9*d - 11. Let b be (-4)/(-32)*68 - 2/(-4). What is the remainder when t(b) is divided by 12?
9
Suppose 0 = 2043*w + 140066 - 495548. Let k = 15 - 40. What is the remainder when w is divided by (k/2)/(-1)*2?
24
Suppose 8*i = -4 + 36. Let f be 0 + (-5 - (-8)/i) + 308. Suppose -3*h - 2*r = -f, 0 = -h - h + r + 201. Calculate the remainder when h is divided by 21.
17
Let o(t) = 2*t**3 + t**2 - 69*t + 283. What is the remainder when o(4) is divided by 27?
16
Let q(o) = 50*o**3 - 2*o**2 + 3*o - 4. Let z be q(2). Let i = -339 + z. What is the remainder when 74 is divided by i?
19
Suppose -l = -181*f + 184*f - 18030, -l - 9 = 0. Calculate the remainder when f is divided by 27.
19
Suppose -3*c + 7 = -5. Suppose -73*h + 77*h = 68. What is the remainder when h is divided by c?
1
Suppose -44*f = -13*f + 3*f - 44030. What is the remainder when f is divided by 313?
43
Let k(x) = x**3 - 12*x**2 + 17*x + 38. Let p be k(10). Calculate the remainder when 10 is divided by (p/(-4))/(4/(-20)).
0
What is the remainder when (-4407)/(-52)*((-60)/(-14) - (-4)/(-14)) is divided by 112?
3
Let v = -14872 + 14878. Let m = 20 + -11. Calculate the remainder when m is divided by v.
3
Let v(d) = -6*d**2 + 44*d. Let f be 22/154 - 82/(-14). Calculate the remainder when 226 is divided by v(f).
34
Let r(q) = -2*q + 22. Suppose -4*d = 2*y - 5*y + 70, 0 = -3*d + 15. Let b = 39 - y. What is the remainder when r(0) is divided by b?
4
Suppose -3 - 9 = -4*d. Let b(x) = -x**3 + 8*x**2 - 8*x + 23. Let m be b(6). Suppose -d*p = -2*p - m. Calculate the remainder when p is divided by 16.
15
Suppose 3*u + 33 = 0, h + 0*h + 107 - 301 = 5*u. Suppose c = -2*c + 39. Calculate the remainder when h is divided by c.
9
Let p be -281*((4 + -3)*-1)/1. Let g = -209 + p. Calculate the remainder when g is divided by 28.
16
Let v(r) = -287*r + 16671. Calculate the remainder when (47/2)/((-1)/(-2)) is divided by v(58).
22
What is the remainder when 14/(-2) + ((-6)/21 - (-1360496)/112) is divided by 23?
19
What is the remainder when ((-1870)/(-8))/((-47)/(-188)) is divided by 104?
103
Let d = -16976 - -16991. Calculate the remainder when d is divided by 3.
0
Let v(c) = c**3 + 5*c**2 + 2*c - 1. Let w be v(-2). Suppose w*m + 232 - 477 = 0. What is the remainder when 139 is divided by m?
34
Let v be (1*-1)/(((-12)/21)/4). Suppose -15 = -v*w - 1. Suppose y + w = 9. What is the remainder when 16 is divided by y?
2
Let o = -4770 - -4782. What is the remainder when 315 is divided by o?
3
Suppose 3*y + 25 = f, -3*y + 1 = f - 0. Suppose 0 = 5*s + 5*u - 150, s = u + f + 27. What is the remainder when s is divided by 18 - (-1 + (-2)/(-2))?
17
Let x(g) = -g**3 - 14*g**2 + 28*g - 54. Let u = 174 + -190. Calculate the remainder when 35 is divided by x(u).
5
Let g = -43 - -54. Calculate the remainder when 76 is divided by g.
10
Suppose 5*f = -0*f - 25, 2*f - 355 = -5*i. Suppose 276 = -4*x - 3*o + 1448, -850 = -3*x + 5*o. What is the remainder when x is divided by i?
71
Suppose -k - 3*x + 119 = -136, -x = -3. Let c = 313 - k. Calculate the remainder when c is divided by 37.
30
Let g(q) = 6*q - 2. Let z be g(7). Suppose 0 = -5*m - 6*x + 9*x + z, -4*x + 8 = m. What is the remainder when 34 is divided by (-14)/3*(1 - (m + -4))?
6
Let n(i) = -9*i - 6. Suppose 4*m = 2*a + 18 + 8, -5*a - 4*m = -5. Let l be n(a). Calculate the remainder when l/(((-26)/(-12))/13) is divided by 32.
30
Suppose 337*s = 37232 + 53758. What is the remainder when 962 is divided by s?
152
Let r(v) be the second derivative of v**5/20 + 7*v**4/12 - 4*v**3/3 + 9*v**2 + 125*v. Calculate the remainder when 104 is divided by r(-8).
14
Suppose -3*a - 4*c + 17 - 27 = 0, -a - 4 = c. Calculate the remainder when 185 + (-13 - a) - -5 is divided by 2 - 5 - -1 - -39.
35
Let d(s) = 4*s**3 - 8*s**2 - 144*s + 562. What is the remainder when 1096 is divided by d(4)?
70
Let w = -126 + 146. What is the remainder when (-4)/((-20)/(-35)) + 125 is divided by w?
18
Let t = -120 - -155. Calculate the remainder when 186 is divided by t/(-28)*4/(-10)*94.
45
Suppose 5*f = 8 + 7. Suppose 2*g + f - 11 = 0. Calculate the remainder when -9*(g + 11/(-3)) + 65 is divided by 13.
10
Suppose 3*s + d - 37197 = 0, 3*s - 52*d = -49*d + 37209. What is the remainder when s is divided by 18?
16
Suppose -234*l - 1286 = -2327 - 17679. Calculate the remainder when l is divided by -1*((2 - 3) + -29).
20
Suppose -11*l + 16*l = 10. Suppose l*q - 5 = 33. Suppose r + 324 = 7*r. Calculate the remainder when r is divided by q.
16
Let r = 37 + -73. Let b = 37 + r. Let p = b - -3. Calculate the remainder when 14 is divided by p.
2
Suppose 3*v + 5*x = 613, -79 - 327 = -2*v - 4*x. Suppose -c + 2*y = 4*y - 17, 0 = -5*c + 8*y + 139. What is the remainder when v is divided by c?
4
Suppose -l + 2*i + 252 = 0, 2*l - 5*i = 486 + 18. Suppose 100*z - 102*z + l = 0. What is the remainder when z is divided by 26?
22
Suppose 320*b = 747 + 12553 + 15820. Calculate the remainder when b is divided by 85.
6
Let r = -2512 + 2607. What is the remainder when r is divided by 24?
23
Suppose 4*l - 15 = -7. Suppose l*h - 9 = -1. Suppose -5*q - 132 = -h*j, j + 99 = 4*j - q. What is the remainder when 60 is divided by j?
27
Suppose 3*g + 33230 = 5*r, 311*g - 13292 = -2*r + 315*g. What is the remainder when r is divided by 277?
275
Let z(n) = n**2 - 57*n - 522. Calculate the remainder when z(-10) is divided by 44.
16
Suppose -k + 3 = -1. Suppose -k*w + 2*w = -6. Let b(o) = 8*o**2 - 3*o - 8. Calculate the remainder when b(w) is divided by 10.
5
Let q(p) = 2992*p**2 + 974*p - 1953. What is the remainder when q(2) is divided by 31?
28
Let a(f) = f**3 + 21*f**2 - 8*f - 116. What is the remainder when a(-21) is divided by 28?
24
Suppose 4 = z + 4*h - 20, 63 = 4*z + 5*h. Let o(v) = -43*v + 5. What is the remainder when o(-4) is divided by z?
9
Let a(p) = -14*p + 6 + 149*p**2 + 11*p + 10*p. What is the remainder when a(-1) is divided by 50?
48
Let b(d) = 53*d - 1. Suppose 27*n - 8*n - 760 = 0. What is the remainder when b(1) is divided by (1 - 3) + (n - 27)?
8
Suppose -3*w + 6*w - 18 = 0. Suppose 0 = -4*t + 16, -5*k + 4*t + 523 = w*t. What is the remainder when k is divided by (-236)/(-9) - (968/(-99) - -10)?
25
Suppose -130 = -4*f - 5*h, -f - 2*h = -7 - 21. Calculate the remainder when 129 is divided by f.
9
Let q = -1611 + 1634. Suppose -5*j = 3*y - 8*y - 30, -2*j = 4. Let n = y + q. What is the remainder when 41 is divided by n?
11
Let n(c) = -c - 9. Let d = 61 + -56. Suppose 6*i = 7*i + 4*f - 1, -d*i - 2*f - 85 = 0. What is the remainder when 69 is divided by n(i)?
9
Calculate the remainder when 255 is divided by 32 + -17 - 24 - -26.
0
Calculate the remainder when -8 - (5/3 + 1580/(-3)) is divided by 48.
37
Suppose 0 = 3*m + 3*m + 30. Let j(q) = -18*q - 78. Suppose -4*v + 160 = 4*k, 4 = -k - 0. What is the remainder when v is divided by j(m)?
8
Let y = 27 - 20. Let n(m) = 4 + y + 35*m - 39*m - m**2. What is the remainder when 19 is divided by n(-5)?
1
Let b(h) = -63*h - 49. Let q(n) = -15*n - 12. Let k(d) = 4*b(d) - 18*q(d). What is the remainder when 150 is divided by k(1)?
36
Let b(j) = -j**2 - 11*j - 10. Suppose 3*l - v = -2*v - 26, 5*v = 20. Let p be b(l). Suppose p = -0