pose 29 = -z + x - 0*x, 4*z = -x - 96. Let s(k) = -k**3 - 25*k**2 + k + 62. Calculate the remainder when s(z) is divided by 12.
1
Let c(u) = -2*u - 20. Let z(a) = -a - 21. Let n(j) = 4*c(j) - 3*z(j). What is the remainder when 40 is divided by n(-9)?
12
Let s be (-8)/(-6)*(-39)/26. Calculate the remainder when -4 + ((-6)/(-2) - (s - 98)) is divided by 35.
29
Let x = -470 + 625. What is the remainder when x is divided by 4?
3
Let n(f) = f**3 + 5*f**2 - 6*f + 5. Suppose 4*q + 5*l - 4 = 3*l, -5*q = -5*l - 35. Suppose -q*u + 47 + 10 = 0. What is the remainder when n(-5) is divided by u?
16
Let o(d) = 92*d - 3. Suppose -5*w + 17 + 13 = 5*r, -2*r = -2*w + 8. Calculate the remainder when o(r) is divided by 31.
27
What is the remainder when 155 is divided by (-740)/15*(-42)/28?
7
Calculate the remainder when (-291)/39*-11 - (-13)/(-169) is divided by 5.
2
Calculate the remainder when 10*((-11)/(-33) + 26/12) is divided by ((-7)/(-3))/(7/21).
4
Suppose -27*z = -720 - 900. What is the remainder when z is divided by 31?
29
Suppose 21*m - 17*m = 400. Let b = -79 + m. What is the remainder when 54 is divided by b?
12
Suppose 8*g + 609 = 11*g. Let j = 310 - g. Calculate the remainder when j is divided by 27.
26
Let g(o) = -o**2 - 7*o + 90. What is the remainder when 128/3 - 3/(-9) is divided by g(-13)?
7
Let g(v) = 13*v**2 + 2*v - 1. Let r = 2 - 1. Calculate the remainder when g(r) is divided by (1 - -4) + (-1 - -1).
4
Let h = -15 - 18. Let u = h + 63. What is the remainder when 88 is divided by u?
28
Let n = 32 + -4. What is the remainder when 27/15*(-1850)/(-30) is divided by n?
27
Suppose 0 = -3*x + 9, 5*n - 4*x = -8 + 6. Suppose -3*v - 4*t = -v - 24, -2*v - 3*t = -19. Suppose n - 40 = -v*s. What is the remainder when s is divided by 7?
5
Let m(h) = 15*h**2 + h - 21. Let z(f) = f**3 - f**2 - f - 1. Let b = -21 - -22. Let x(q) = b*m(q) + z(q). Calculate the remainder when x(-13) is divided by 30.
27
What is the remainder when ((8 - -75) + -3)/2 is divided by 15?
10
Let d = 559 + 52. Calculate the remainder when d is divided by 68.
67
Let g(l) = 6*l**2 - 5*l - 4. Let o = -6 + -1. Let j be g(o). Suppose 3*a - 8*a = -j. What is the remainder when a is divided by 17?
14
Let k(r) = -r**3 - 18*r**2 + 16. Let w = -35 - -17. Calculate the remainder when 142 is divided by k(w).
14
Suppose 0 = -0*n + 4*n - 4. Let h = n - 1. Suppose h = -5*t - 15, -5*w + 3*t = -0*t - 44. What is the remainder when 13 is divided by w?
6
Suppose -2 = 3*f + 10, 0 = -4*y - f + 640. Calculate the remainder when y is divided by 42.
35
Let z(t) = -86*t + 527. Suppose 0 = 5*m - 65 - 35. What is the remainder when m is divided by z(6)?
9
Suppose -3*u + 2*o = -16, 218*o - 221*o = 6. What is the remainder when 32 is divided by u?
0
Suppose -5*q - 310 = -5*t, -3*t - 32 = -4*t - 5*q. Calculate the remainder when 225 is divided by t.
54
Let w(c) = -3*c**2 + 165*c + 36. What is the remainder when 3058 is divided by w(55)?
34
Suppose -3*b + 5 = -7. Suppose b*g - 146 = -2*p, -220 = 2*g - 7*g + 5*p. Suppose 2*r = 3*r - 10. Calculate the remainder when g is divided by r.
9
Let o = 282 - 255. Calculate the remainder when 66 is divided by o.
12
Let x = 38 + 57. What is the remainder when x is divided by 10?
5
Let z(o) = -o**2 + 4*o + 7. Let y be z(6). Let n = y - -24. Let g(x) = 116*x + 701. Calculate the remainder when n is divided by g(-6).
4
Suppose -2*b - 11 + 139 = 0. Let g = 297 + -264. What is the remainder when b is divided by g?
31
Let d(s) = s**3 + 4*s**2 - 15*s - 1. What is the remainder when d(-6) is divided by 10?
7
Suppose 18*s - 3411 = -1017. Calculate the remainder when s is divided by 8.
5
Suppose 72 = 5*i + 3*m - 5*m, -4*i - 4*m + 52 = 0. Calculate the remainder when 54 is divided by i.
12
Let w = 275 - 228. Calculate the remainder when 468 is divided by w.
45
Let k(g) = g**3 - 4*g**2 - 5*g + 6. Let o = 10058 + -10057. Calculate the remainder when k(5) is divided by o.
0
What is the remainder when (-5)/(40/56) - -546 is divided by 18?
17
Suppose 0 = -46*x + 41*x - 35. What is the remainder when 55 is divided by x/21*-6 + 6*2?
13
Let z(m) = -23*m + 9. Suppose -o = 5*n - 75, 2*o + 5*n - 90 - 65 = 0. Suppose 5*j - 210 + o = 0. What is the remainder when z(-4) is divided by j?
23
Suppose 35 = w - 17. Let s = 90 - w. Calculate the remainder when s is divided by 13.
12
Let f be (-2)/(-2 + -3 + 27/6). Let z(c) = -2*c - 22. Let s(h) = h + 9. Let n(x) = 12*s(x) + 5*z(x). Calculate the remainder when 21 is divided by n(f).
3
Suppose -20*m + 15*m + 5*n = -2845, 4*m = 5*n + 2277. What is the remainder when m is divided by 140?
8
Let n(g) = -56*g**3 + g**2 + g + 1. Let s(h) = -18*h - 2. Let y be s(1). Let z = 35 + y. What is the remainder when n(-1) is divided by z?
12
Let x(a) = 29*a - 172. What is the remainder when x(29) is divided by 24?
21
Suppose -5*x + 2*x = k - 113, -x - k + 39 = 0. Suppose -40 = 5*l - 565. Suppose -n + l = p, 5 = -p + 2. Calculate the remainder when n is divided by x.
34
Let s = 2 + 45. Let u(a) = a**2 + 4*a. What is the remainder when s is divided by u(-6)?
11
Let h = 409 + -295. Calculate the remainder when h is divided by 21.
9
Suppose 5*i + q - 22 = 5*q, -2*q = -5*i + 16. Let a = 1 + i. Suppose -318 = -43*b + 26. What is the remainder when b is divided by a?
2
Let b(y) = -y**3 - y + 3. Let s be b(0). Suppose -r + 2*h + 11 = h, 5*r - 51 = s*h. Calculate the remainder when 13 is divided by r.
4
Let x(a) be the first derivative of a**4/2 - 5*a**3/3 - a**2 - 5*a - 3. Let r(t) = 2*t - 24. Let z be r(14). What is the remainder when x(z) is divided by 12?
11
Let r(w) = w**3 - 5*w**2 + 7*w - 1. Let u be (-7)/(-1) + 2 + -3. Calculate the remainder when r(u) is divided by 8.
5
Let n be 8/28 - (-10)/(-35). Let j be (-16)/(-5)*(n - -30). Let i = j + -47. Calculate the remainder when i is divided by 13.
10
Let i(g) = -g**3 - 34*g**2 - g - 31. Calculate the remainder when 3 is divided by i(-34).
0
Let g(u) = -9 + 2*u + 19*u**2 + 5 - u. What is the remainder when g(-2) is divided by 36?
34
Suppose -2*q + 86 = -0*x + 3*x, 0 = -2*q - 2*x + 90. What is the remainder when q is divided by 7?
0
Let l = 7 + -12. Calculate the remainder when -47*(2/l - 9/15) is divided by 24.
23
What is the remainder when 48 is divided by (-772)/(-52) - (6/(-13))/3?
3
Let v(q) = -98*q - 202. What is the remainder when 330 is divided by v(-3)?
54
Suppose -119*u = -114*u - 95. Calculate the remainder when 226 is divided by u.
17
Let z(y) = -y**2 - 22*y + 48. What is the remainder when z(-20) is divided by 18?
16
Let o(b) = -2*b**2 - 5*b + 11. Let a be o(4). Suppose 3*m + 246 = -4*i, -5*i = -4*m - 202 - 95. Let d = a - m. Calculate the remainder when d is divided by 13.
11
Let h be 0/(2/(-4 - -3)). Suppose h*s + 5 = s. Suppose -5 = -s*m + 110. Calculate the remainder when m is divided by 9.
5
Let k(q) = 9*q**3 - 2*q**2 + 3*q - 2. What is the remainder when k(3) is divided by 50?
32
Suppose -51*z + 2618 = 26*z. What is the remainder when 268 is divided by z?
30
Let w = -171 + 183. Calculate the remainder when 79 is divided by w.
7
Let d(x) = -6*x + 36. Let i be d(12). Let w = -20 - i. Calculate the remainder when 95 is divided by w.
15
Suppose 7*n - 24 = 39. Let j = 25 - n. What is the remainder when j is divided by 9?
7
Let w(k) = k**2 + 2*k - 3. Let r(t) = -8*t + 7. Let n be r(6). Let b = n - -76. Calculate the remainder when b is divided by w(3).
11
Let s(a) = 2*a**2 - 15*a + 18. Let f be s(10). Let i = -57 + f. What is the remainder when 36 is divided by i?
3
Let j(w) = -w**3 - 10*w**2 + 32*w + 38. What is the remainder when j(-16) is divided by 56?
54
Suppose -2*a - h = -58, -24*h + 167 = 5*a - 27*h. Calculate the remainder when 308 is divided by a.
29
Calculate the remainder when 81 is divided by ((-408)/(-16))/(-3)*-2.
13
Let h(p) = -p + 24. Let d be h(10). Let x = 8 + d. Calculate the remainder when x is divided by 12.
10
Let l(i) = i**3 + 12*i**2 - 9*i + 68. Let m(b) = -7*b**3 + 3*b**2 + 4*b + 2. What is the remainder when m(-2) is divided by l(-13)?
14
Suppose -2*b - 39 = -4*z - 7*b, -3*z = b - 43. What is the remainder when 73 is divided by z?
9
Suppose -7*o - 300 = -3*o. Let h = 52 - o. What is the remainder when h is divided by 13?
10
Suppose -r = 4*g - 28, 57*r - 62*r + 4*g + 44 = 0. What is t