1. Let r(y) = y**3 - 8*y**2 + 3*y + 56. What is the remainder when o(-9) is divided by r(6)?
0
Let i(a) = a**3 + 7*a**2 + 6*a + 9. Let d be i(-6). What is the remainder when d*((-8)/(-2) + 2) is divided by (-43 + 49)*(-3)/(27/(-21))?
12
Suppose h - 12 = -k, k - 3*h - h = 22. Calculate the remainder when 65 is divided by k.
9
Suppose 70 = 5*k - 15. Let u = k + 21. What is the remainder when u is divided by 13?
12
Let j = -7 + 12. Let y(v) = 7*v - 5. Let t(g) = -6*g + 400. What is the remainder when y(j) is divided by t(64)?
14
Suppose 0 = 158*y - 153*y - 3*r - 133, 5*y + 2*r - 103 = 0. Let a = 44 + -31. What is the remainder when y is divided by a?
10
Let j(y) be the first derivative of -y**4/4 + y**3/3 + 12*y - 2. Let u = -36 + 70. Calculate the remainder when u is divided by j(0).
10
Let l be 12*4/6 - 3. Suppose -3*h = -0*h + 2*t - 2908, l*h = -t + 4856. What is the remainder when 78 is divided by 2/(-3)*h/(-24)?
24
Let b(x) = -3 + 0*x + 0*x + x - x**3 + x**2. Let r be b(-3). Suppose -3*t + 39 = -r. What is the remainder when 68 is divided by t?
22
Suppose n - 54 = -2*a, 5*n + 4*a = 9*n - 192. Calculate the remainder when n is divided by 3.
2
Let n(f) = f**2 - 3*f - 23. Let y be n(-4). Let t(x) = 36*x - 2. Let h be t(2). Suppose -y*z + h = -75. Calculate the remainder when z is divided by 10.
9
Let n(r) = -18*r - 50. Calculate the remainder when n(-4) is divided by 6.
4
What is the remainder when 30 is divided by ((-128)/(-96))/((-2)/(-30))?
10
Let l(y) = -y + 21. Let o be l(-12). Let a = o + -21. Calculate the remainder when 46 is divided by a.
10
Suppose 3*i = -2*y - 43 + 249, -4*y - i = -432. Calculate the remainder when 439 is divided by y.
3
Calculate the remainder when 2890/14 + (-12)/28 is divided by 7.
3
Suppose -6 = -2*r - 4. Let p = 0 + 3. Suppose 0 = p*h - 0*h - 3. Calculate the remainder when r is divided by h.
0
Calculate the remainder when 31/(-3)*-15 + -4 is divided by 76.
75
Let n(v) = -9*v - 236. What is the remainder when n(-28) is divided by 4?
0
Let z(n) = -n**3 + 4. Let r be z(2). Let p(w) = 3*w**2 + 11*w + 5. What is the remainder when 33 is divided by p(r)?
6
Let f = -4 + 9. Let d = 428 + -116. Calculate the remainder when ((-2)/(-6))/(13/d) is divided by f.
3
Let v(u) = -72*u + 152. Let y(b) = b**2 - 2*b - 9. Calculate the remainder when y(-6) is divided by v(2).
7
Suppose 5*s - 5*y = s + 81, -65 = -5*s - y. Let j(k) = -7*k**3 - 2*k**2 - 4*k - 2. What is the remainder when j(-2) is divided by s?
12
Let z = -13 + 11. Let c be (1 - z) + (8 - 1). What is the remainder when 11 is divided by (-1)/(-2)*(c + -2)?
3
Let u(b) = 2*b**2 - 32*b + 37. What is the remainder when u(16) is divided by 11?
4
Suppose -4*x + 21*x - 323 = 0. What is the remainder when 110 is divided by x?
15
Suppose -7*u + 23*u = 32. Suppose -u*r + 47 = -5*d, 4*d - 4 = -24. Calculate the remainder when 63 is divided by r.
8
Let v(p) = 2*p**2 + 6*p - 20. Let y(t) = 28*t**2 + 1. Calculate the remainder when y(-1) is divided by v(3).
13
Suppose 0 = -30*t + 1 + 479. What is the remainder when 103 is divided by t?
7
Let a(h) = -2*h**2 - 15*h - 3. Let o(v) = v**2 + 8*v + 1. Let g(b) = -2*a(b) - 5*o(b). Calculate the remainder when 74 is divided by g(-6).
24
Calculate the remainder when (-1)/((6/(-1671))/2) is divided by 43.
41
What is the remainder when 109 is divided by ((-110)/30 - -3) + 64/6?
9
Suppose -16*s + 20*s + x - 136 = 0, 0 = -4*s - 2*x + 140. Suppose -s = 4*c - 13, -w - 5*c = -2. What is the remainder when 106 is divided by w?
25
Suppose -3*d + 9 = 0, 0*r - r - 4*d = -38. Suppose -13 = -3*b + r. What is the remainder when 21 is divided by b?
8
Let f = 149 - 144. Calculate the remainder when 222 is divided by 228/10*f/2.
51
Let p be (-1)/(4*(-6)/(-16) + -2). Suppose -p*s = 9 - 51. Calculate the remainder when 39 is divided by s.
18
Calculate the remainder when (5 - -110) + -1 - -5 is divided by 40.
39
Let h be (-95)/(-20) - (-1)/4. Suppose -5*r + 87 = l, h*r + 4*l - 93 = -0*r. What is the remainder when r is divided by 10?
7
Let b(s) = -s**3 - 7*s**2 - 5*s + 10. Let t be b(-7). Let z = t - 35. Calculate the remainder when 47 is divided by z.
7
Let x(o) = -o**2 + 10*o - 6. Let t be x(9). Let n(l) = 5*l**2 + 8 - t*l - l**2 + 5*l - 11. What is the remainder when n(-3) is divided by 7?
6
Let o(s) = -s**2 - 5*s + 1. Let l be o(-5). Suppose -x - l = 2. Calculate the remainder when 21 is divided by (-2)/(x*(-4)/(-36)).
3
Let f(r) = 243*r - 45. What is the remainder when f(2) is divided by 26?
25
Suppose -n + 5*d + 0 = -15, -n + 3*d + 9 = 0. Suppose h - y = 5*h - 37, n = h + 2*y - 18. Calculate the remainder when 2*58/h*2 is divided by 8.
5
Suppose -547 = -28*w + 909. What is the remainder when 157 is divided by w?
1
Suppose 4*z + 5*f - 77 = 0, 72 = 9*z - 5*z + 4*f. What is the remainder when 36 is divided by z?
10
Let v = -44 + 49. Suppose -2*l = v*g - 40, -5*l - 3*g + 0*g + 138 = 0. Calculate the remainder when 148 is divided by l.
28
Calculate the remainder when 21 is divided by ((-12)/9 + 2)/((-4)/(-18)).
0
Let u(j) = 2*j**2 + 2*j + 16. Calculate the remainder when 44 is divided by u(-3).
16
Suppose m - 320 = -3*p, 2*p = 5*p + 5*m - 340. Let l = 309 - 282. What is the remainder when p is divided by l?
24
Suppose 599*t - 18090 = 572*t. Calculate the remainder when t is divided by 24.
22
Let y(p) = -253*p + 1. Let g be y(1). Let o = -477 - g. Let t = 332 + o. Calculate the remainder when t is divided by 27.
26
Suppose -4*b = -2*b - 10. Suppose -4*g - t = -2*t - 72, b*g = 5*t + 105. Calculate the remainder when g is divided by 9.
8
Let i = 126 - 105. Let o be 2/4 - 166/(-4). Suppose 8*f = -4*j + 3*f + 34, 4*j - o = -f. Calculate the remainder when i is divided by j.
10
Calculate the remainder when -3 + (-2504)/(-40) - 9/15 is divided by 33.
26
Let h = -2 + 2. Suppose -4*f = 3*r - h*r - 36, -5*r + 65 = 5*f. What is the remainder when r is divided by 6?
4
Let d = 92 + -43. Let f(i) = i**2 + 9*i - 11. What is the remainder when d is divided by f(-11)?
5
Let f(y) = -y. Suppose 3*b + 2*s + 36 = b, -8 = 2*s. Let u(t) = t + 23. What is the remainder when u(b) is divided by f(-5)?
4
Suppose -p - 15 = 2*p, -3*p = -h - 96. Let i = h + 194. Calculate the remainder when i is divided by 4/(-2) - 10*-3.
27
Let v = 31 - 12. Let i = 72 + -109. What is the remainder when (i - 0)*(-6 - -5) is divided by v?
18
Suppose 296 - 191 = 7*w. Calculate the remainder when 281 is divided by w.
11
Let m = -24 + 16. Let n(k) = -k**3 - 8*k**2 - 4*k - 13. Calculate the remainder when 56 is divided by n(m).
18
Let g(c) = 6*c**2 + 16 - 23 - 4*c**2 - 6*c. Let k be ((-3)/3)/(1/(-5)). What is the remainder when 37 is divided by g(k)?
11
Let s(c) = 20*c - 507. What is the remainder when s(28) is divided by 10?
3
Let s be (-3 - -4)*-1*-2*1. Suppose 0 = s*t + 2*t - 44. What is the remainder when t is divided by 6?
5
Let x = -222 - -237. Calculate the remainder when 89 is divided by x.
14
Suppose 7*w - 316 = -295. Calculate the remainder when 4 is divided by w.
1
Let b(u) = -2*u + 5 + 0 - 4. Let m be b(-1). What is the remainder when 6 is divided by (m - 2)/((-1)/(-4))?
2
Calculate the remainder when 10 is divided by ((-1)/3)/(18/(-270)).
0
What is the remainder when ((-9)/2)/(4 + 1033/(-258)) is divided by 83?
82
Let z = -230 + 246. What is the remainder when z is divided by 3?
1
Let s be 1/((4/28)/1). Let n = s - -11. Calculate the remainder when n is divided by 4.
2
Suppose 13 = -4*m - 5*j, j - 2*j = -m + 8. Suppose 0 = -5*k + m*c + 32, -2*k - 30 = -7*k + 5*c. Calculate the remainder when 39 is divided by k.
4
Suppose 5*h = -2*f + 48, 58*f - 18 = -3*h + 55*f. Let z = -49 + 81. Calculate the remainder when z is divided by h.
8
Let u = -190 + 307. Suppose -5*o - 4*t + 15 = -4*o, 0 = 3*o - 2*t - 3. What is the remainder when 51 is divided by ((-7)/(-21))/(o/u)?
12
Suppose 645 = -19*h + 34*h. Calculate the remainder when 299 is divided by h.
41
Suppose 0 = o + 2*l - 4*l, 3*l = 2*o - 2. Let f = o - 2. Suppose 5*z - 37 = -7. Calculate the remainder when z is divided by f.
0
Let v = 308 + -156. Suppose 0 = -8*r + 96 + v. Calculate the remainder when 247 is divided by r.
30
Let i be (12/(-30))/(1/10). Let x = 2 + i. What is the remainder when 1/x*149*-2 is divided by 38?
35
Let l = -27 - -29. What i