 is the remainder when n(c) is divided by 27?
24
Let r(m) = 14*m**3 - m**2 + 1. Suppose -3952 = 172*w - 191*w. Calculate the remainder when w is divided by r(1).
12
Let f(w) = -w**3 + 10*w**2 + 2*w - 18. Let l be f(10). Suppose -4*b + 4*x + 1 = -39, -4*x + l = -b. Calculate the remainder when b is divided by 2/4 - 7/(-2).
2
Suppose -3*d + 33 = 3*s, -4*s + s + 34 = 2*d. Suppose -3*t + 4*f + 197 = 0, 3*t + 0*t = 5*f + 193. What is the remainder when t is divided by s?
11
Suppose -3*h - 111 = -6*h. What is the remainder when h is divided by (4 - 1)*(8 + (-4)/3)?
17
Let v(t) = 3*t + 9. Let r be v(7). Suppose r = j + 5*x, x = -0*x + 4. What is the remainder when 27 is divided by j?
7
Suppose a - 41 = 5*b + 16, 4*a + b = 165. Suppose 0*g - a = -2*v - 2*g, -3*g = 0. Calculate the remainder when v is divided by 6.
3
Let i be (-60)/100 + (-46)/(-10). Suppose 0*d + 68 = d - i*t, -3*d + 4*t = -164. What is the remainder when d is divided by 5?
3
Suppose 2*j = -2*p + 22, 0*p + 5*j = -3*p + 33. Suppose -29 - p = -5*t. Let m = t + 3. Calculate the remainder when 42 is divided by m.
9
Let a = 67 - 62. Suppose 0 = -a*f - 10 + 115. Calculate the remainder when f is divided by 6.
3
Let j be (-4 + 40/(-12))*-3. Let k = -12 + j. What is the remainder when 58 is divided by k?
8
Let n(m) = -44*m - 124. Suppose d - 20 = -3*d. Suppose p - 2*p = -d. What is the remainder when n(-3) is divided by p?
3
Suppose -39 = -4*x + 37. Let k = -3 - -58. What is the remainder when k is divided by x?
17
Suppose -2*p + 55 - 3 = 5*m, -3*m = -5*p + 130. Let c = p + -3. Calculate the remainder when 45 is divided by c.
22
Let q(o) be the third derivative of -o**4/6 - 17*o**3/2 + 18*o**2 - 1. What is the remainder when q(-16) is divided by 3?
1
Calculate the remainder when (-6 + 104/16)/((-1)/(-724)) is divided by 73.
70
Let n be ((-245)/77 + 4/22)/1. Calculate the remainder when 70 is divided by 27 + n + (-2)/(-2).
20
Let f be (-35)/(-10)*(-1348)/(-7). Suppose -g - 519 = -4*n, 4*g - f = -4*n - 130. What is the remainder when n is divided by 22?
21
Let b(i) = 41*i**2 - 2*i + 3. Let w be (-92)/(-23) - 2*6/4. Calculate the remainder when b(w) is divided by 24.
18
Suppose -11*j = -8*j - 60. Suppose w = -5*w + 342. Calculate the remainder when w is divided by j.
17
Suppose 2*t = -5*u - 32 + 153, 3*t - 165 = -2*u. Calculate the remainder when t is divided by 12.
5
Let p(j) = j - 1. Suppose -h - 589 = -4*z - 2*h, -2*z + 311 = -5*h. Suppose -2*c - 2*c + z = 0. What is the remainder when c is divided by p(11)?
7
Let m be 204/(-21) + (-4)/14. Calculate the remainder when 12 is divided by (16/m)/(10/(-25)).
0
Let b = 5 - -4. Let y be ((-492)/b)/((-8)/12). Let f = y + -19. Calculate the remainder when f is divided by 32.
31
Suppose 3*x - 5*i = 120 - 11, 3*x - 93 = -3*i. Calculate the remainder when 38 is divided by 99/x + 3 + 1.
3
Let v(p) = 6*p - 98. Calculate the remainder when v(19) is divided by (-9)/(-6)*(-104)/(-12).
3
What is the remainder when 139 is divided by (-9)/6*280/(-42)?
9
Let u = 14 + -11. Suppose 0*t - 5*t = b + 14, -u*t - 2 = -b. What is the remainder when (-375)/(-9) - t/(-3) is divided by 7?
6
Suppose -4*g - 4*v = -124, 55*g = 53*g + v + 65. Calculate the remainder when 510 is divided by g.
30
Suppose 7*k - 2*k = -2*n + 51, -5*n - 5*k = -90. Suppose 0 = j + 4*c - 20, -4*c = -3*j - 1 + n. What is the remainder when j is divided by 3?
2
Suppose -2*r - 116 = -2*p, -3*p + 0*r = -2*r - 175. Let w = 74 - 36. Let h = -23 + w. Calculate the remainder when p is divided by h.
14
Let c be 6*((-2)/6)/(-1). What is the remainder when 1*(2/c)/(1/13) is divided by 3?
1
Let d(z) = -z**3 + 6*z**2 - 3*z - 6. Let j be d(5). Suppose 11 + 181 = j*q. Let g = 16 + -3. Calculate the remainder when q is divided by g.
9
Suppose 0 = 3*k + 2*k - 20. Suppose -k = -4*p + 24. What is the remainder when 33 is divided by p?
5
Suppose -4*h - 38 - 6 = -4*r, -3*h + 3 = 0. Let o = 96 + -39. What is the remainder when o is divided by r?
9
Suppose -24*u - 384 = -48*u. Calculate the remainder when 351 is divided by u.
15
Suppose -3*x + 27 - 3 = 0. Let w = -10 - -13. What is the remainder when -46*(35/(-10) + w) is divided by x?
7
Let h = 631 - 590. Calculate the remainder when 140 is divided by h.
17
Suppose -4*b + 9*b - 5*u = 35, -4*b + 33 = -3*u. Suppose 2*t + n - 4 = -3, -2*n = 2*t + 4. Calculate the remainder when b is divided by t.
0
Suppose 4*s - 3 + 2 = r, -10 = -2*r - 4*s. Let v be 0/2 - (0 - r). Suppose v*g + 0*g - 129 = -3*o, -4*o = 16. Calculate the remainder when g is divided by 10.
7
Suppose w + 4 = 6. Suppose w*v = 17 + 9. Calculate the remainder when (57*(-4)/(-3))/1 is divided by v.
11
Let v = -98 + 187. What is the remainder when v is divided by 23?
20
Let g(l) be the first derivative of l**3/3 - 5*l**2/2 - 20*l + 1. Calculate the remainder when 30 is divided by g(9).
14
Let m(a) = 2*a**2 + 101*a - 151. Suppose 0 = -3*k + 2*x + 17, 2*k - 16 = x - 3. What is the remainder when k is divided by m(-52)?
4
Suppose -3*q + 61 = 5*p, 4 = -q - p + 25. Let s(g) be the first derivative of g**3 + 5*g**2/2 - 2*g + 4. What is the remainder when s(3) is divided by q?
18
Let g(b) = b + 1. Let a be g(2). Let z = 34 - 21. Calculate the remainder when 54 - 2 - a - 0 is divided by z.
10
Let g = 576 - 565. Calculate the remainder when 547 is divided by g.
8
Let o(f) = -3*f + 7. Suppose 2*k - 3*g + 31 = -6*g, -15 = -5*g. Let l = k - -34. Calculate the remainder when l is divided by o(1).
2
Suppose -4*k = 4*q - 176, q + 4*q = -k + 216. What is the remainder when q is divided by ((-34)/170)/(4/(-460))?
20
Suppose 4*d - 443 - 425 = 0. Suppose d = 8*y - y. What is the remainder when y is divided by 16?
15
Suppose 562 = 7*k + 30. What is the remainder when 298 is divided by k?
70
Let b(d) = d**3 - 2*d**2 + 2*d. Let t(x) = 2*x - 2. Let k be t(2). Let z be b(k). Suppose z*i - 174 = 78. Calculate the remainder when i is divided by 22.
19
Let f be (-6)/18 - 10/(-3). Suppose -4*r + 115 = -i, -3*r + f*i = -7*r + 103. What is the remainder when 53 is divided by r?
25
Let p(v) = 2*v**2 + 8. Let w be p(-5). Let x = 83 - w. Let q = x - 15. Calculate the remainder when 18 is divided by q.
8
Let w(f) = -f**2 - f + 52. Calculate the remainder when 129 is divided by w(-6).
19
Let k = 29 + -26. What is the remainder when 48 is divided by (170/(-15))/((-2)/k)?
14
Suppose f = 2*h + 10, 18 = -3*f + 2*f - 5*h. Suppose -2*r + r = -3, f*d + 2*r = 24. What is the remainder when 22 is divided by d?
4
Let g be -8 + 6 + 18 + 2. Suppose 0 = 6*z - g - 30. What is the remainder when 438/z - (-1)/4 is divided by 19?
17
Let o(f) = f**3 - 5*f**2 + 3*f - 8. Let i = 17 + -35. Let v = i - -38. What is the remainder when v is divided by o(5)?
6
Calculate the remainder when (-10)/((-14)/(-84) + (1 - 2)) is divided by 5.
2
Suppose -h + 279 + 339 = 0. Calculate the remainder when h is divided by 39.
33
Suppose 0 = -0*o + 2*o + 3*r + 23, -4*o + 4*r + 4 = 0. Let j(s) = -s**2 + 6*s - 6. Calculate the remainder when (-3)/(o/((-16)/(-4))) is divided by j(4).
1
What is the remainder when (-4)/(-12)*21 + 232 is divided by 25?
14
Let c be (50 + -2)*(-7 + 6). Let x = c + 83. Suppose 0 = 3*a + 2*a - x. Calculate the remainder when 17 is divided by a.
3
Let o(w) = w**3 - 7*w**2 - 8*w + 4. Let m be o(8). Suppose -m*a = -a - 177. Suppose -a = 2*c - 3*c. Calculate the remainder when c is divided by 31.
28
Suppose -5*n - 33*n + 1444 = 0. Calculate the remainder when 109 is divided by n.
33
Let w(f) = f**2 + 5*f - 7. Let s(m) = 2*m + 17. Let x be s(-16). Let z be w(x). Suppose 659 = 6*u + z. Calculate the remainder when u is divided by 22.
20
Calculate the remainder when 11/(-22)*59*-4 is divided by 11.
8
Let m(s) = 4*s - 3. Let b = 19 - 11. What is the remainder when m(6) is divided by b?
5
Suppose 5*v - 5*i = 100, -v + 9 = -3*i - 5. What is the remainder when 152 is divided by v?
14
Let f be ((-2)/(-12)*-2)/(1/(-18)). Let i(t) = t**3 - 6*t**2 + 3*t - 2. Calculate the remainder when 61 is divided by i(f).
13
Suppose -2*a + 2 + 2 = 0. Let w(n) = -n**2 - 3*n - 1. Let m be w(-2). What is the remainder when 21 is divided by a + 5 + m + -2?
3
Let j(l) = l**3 - l**2 + l - 7. Let r be j(5). Let w(z) = 65*z**2 + 2*z. Let h be w(1). Let b = r - h. Calculate the remainder when 121 i