*c = 440. Calculate the remainder when c is divided by 45.
43
Let k(u) = -21*u**3 - u**2 - u. Let i be (-4)/6 - (-15)/(-45). What is the remainder when k(i) is divided by 4?
1
Let g(o) = -o**3 + o**2 - 2*o + 10. Let i be g(0). Suppose -i = -2*w - 2. Suppose -20 + w = -4*u. Calculate the remainder when 5 is divided by u.
1
Suppose 8*u = -153 + 529. Calculate the remainder when 160 is divided by u.
19
Suppose -13*y + 28 = -6*y. Suppose 4*h = -3*p + 20, -y*p + 2*p + 5*h = -44. Calculate the remainder when 21 is divided by p.
9
Let u = 19 - 60. Let v = 79 + u. Let y(g) = -126*g + 1526. What is the remainder when v is divided by y(12)?
10
Suppose -8*a + 312 = -34*a. Suppose 6 = -s - 0. Let z = s - a. What is the remainder when 23 is divided by z?
5
Suppose 5*h - 2*s = -0*s + 130, 0 = -3*h + 3*s + 78. Let f = h + -21. Let k = -23 - -37. Calculate the remainder when k is divided by f.
4
Suppose 0 = 3*h - 27 - 117. What is the remainder when h is divided by 33?
15
Let n(a) = a**2 + 10*a - 1. Let p be n(-10). Calculate the remainder when 57 is divided by p/(92/(-30) - -3).
12
Let p(j) be the first derivative of -1/4*j**4 + 2*j**2 + j + 4 - 8/3*j**3. What is the remainder when p(-9) is divided by 16?
14
Suppose -5*y + 9*s + 174 = 10*s, -s - 30 = -y. What is the remainder when y is divided by (3/9)/((-4)/(-108))?
7
Let q = -33 + 52. Calculate the remainder when (-30)/50 - (-346)/10 is divided by q.
15
Let z(s) = -3*s - 57. Suppose -p + 3*o = -19, o + 10 = 2*p + 2*o. Let d = p - 4. What is the remainder when z(-22) is divided by d?
0
Let v(h) = -h + 14. Let d be v(-15). Suppose 3*c - 4*c = -d. What is the remainder when c is divided by 19?
10
Suppose 5*y + 2*d - 243 = 2*y, -y - d + 82 = 0. Suppose -b = -240*s + 243*s - 46, -3*b = 5*s - 82. Calculate the remainder when y is divided by s.
9
Let d be 6*(-5)/(-20)*2. Suppose -a = -3*p + 9, a - p - 4 = -d. What is the remainder when 14 is divided by a?
2
Let b(h) = 3*h**3 + 35 + h**3 - h - 5*h**3 + 0*h. Suppose -2*x + 44 = 3*v - 7*x, 62 = 5*v + 3*x. What is the remainder when b(0) is divided by v?
9
Let m = 230 + -171. What is the remainder when m is divided by 18?
5
Let m be 6515/(-45) - 6/27. Calculate the remainder when (1*(3 - m))/2 is divided by 15.
14
Calculate the remainder when 266/5 - 7/35 is divided by 19.
15
Suppose 0*r = 3*r + 5*t - 130, -4*t = -20. Suppose -4*x + 5*h - 90 + r = 0, -4*x + h - 43 = 0. Let f = 1 - x. What is the remainder when f is divided by 6?
5
Let z(k) = k + 1. Let x(g) = -4*g. Let u(d) = x(d) + 2*z(d). Let f be u(-4). Suppose -8 = -y + f. Calculate the remainder when 69 is divided by y.
15
Let s(p) = 34*p - 259. Calculate the remainder when 17 is divided by s(8).
4
Let r = 0 + 0. Let g(u) = u**3 - u**2 - u + 152. Let d be g(r). Suppose 22 = 3*c - d. What is the remainder when c is divided by 20?
18
Calculate the remainder when 201 is divided by 1 + 3/(-9) - (-147)/9.
14
Suppose -3*i - 5 = 5*f - 2, -3*i + 3 = 3*f. Let y be 0*(8/20)/((-4)/(-10)). Suppose y = -j + i*j - 51. Calculate the remainder when j is divided by 6.
5
Suppose -118 = -2*y - 6. Suppose 2*l = -f + 20, -57 = -5*f + 3*l + y. What is the remainder when f is divided by 7?
1
Suppose 0 = -5*y - 3*j + 71, 4*j = 2*y + j - 20. What is the remainder when 324 is divided by y?
12
Let n = -36 - -33. What is the remainder when (-4 - -1*(-6)/n) + 31 is divided by 8?
5
Calculate the remainder when 422 is divided by (12/(-10))/((-264)/(-45) - 6).
8
Suppose -i + 24 = -2*d, -16*d = -11*d. Calculate the remainder when 47 is divided by i.
23
Let d = -75 + 152. Let u = 184 - 172. Let b = u + 14. What is the remainder when d is divided by b?
25
Let r = -8 + 23. Suppose 0 = -4*l - 35 - 25. Let s = 24 + l. Calculate the remainder when r is divided by s.
6
Suppose -15*z + 12*z = -u + 72, -3*u + 276 = 3*z. What is the remainder when 433 is divided by u?
85
Calculate the remainder when 57 is divided by 3 + (-24)/12 + 12.
5
Suppose -3*x + x + 110 = 0. What is the remainder when 381 is divided by x?
51
Let v = 48 + -34. Suppose -3*d - v = -4*d. Calculate the remainder when 43 is divided by 79/7 + (-4)/d.
10
Let x = 204 - 179. What is the remainder when 49 is divided by x?
24
Let y = -12 - -11. Let s be ((-1)/4)/(y/116). Let c = -19 + s. What is the remainder when 17 is divided by c?
7
Suppose 3*o + 5*i = 219, -100*o = -97*o - 4*i - 246. What is the remainder when o is divided by 55?
23
Let x = -24 + 36. Suppose 0*i - i - x = 0. What is the remainder when (-548)/(-16) + (-9)/i is divided by 9?
8
Let w(g) = g**2 + 1. Let x be w(2). Suppose 0*h - 2*t = -x*h + 70, -4*h = 3*t - 33. What is the remainder when h is divided by 8?
4
Let y(r) = -13*r - 15. Calculate the remainder when 88 is divided by y(-3).
16
Suppose 0*k + 3*k = -3, 2*k = -5*x + 1043. Calculate the remainder when x is divided by 53.
50
Let d(b) = -16*b + 116. Calculate the remainder when 76 is divided by d(6).
16
Let k(c) = c**2 - 2*c - 5. Let s be k(-2). Calculate the remainder when (31 - s) + (2 - 2) is divided by 10.
8
Let b(o) = 20*o - 1. Let k be b(4). Let r = k - 140. Let n = -17 - r. What is the remainder when n is divided by 15?
14
Let r(z) = 49*z**2 - 77*z + 553. What is the remainder when r(7) is divided by 62?
59
Let d(m) = 14*m**3 - 2*m**2 + 15*m - 76. Calculate the remainder when d(4) is divided by 25.
23
Let q = 12 + 2. Suppose 5*n = 4*t + 33, q = 4*n - 2*t + 5*t. Suppose -n*c + 3*u = -253, c = -2*c - 4*u + 175. What is the remainder when c is divided by 14?
11
Let t(w) = w**2 - 8*w - 1. Let n = 18 - 9. What is the remainder when 30 is divided by t(n)?
6
Let u = -320 + 821. What is the remainder when u is divided by 84?
81
Calculate the remainder when 335 is divided by -1 + (969/(-85))/((-2)/10).
55
Let i = -798 - -2266. What is the remainder when i is divided by 105?
103
Let m = -100 - -110. What is the remainder when 39 is divided by m?
9
Let f(x) = -8*x + 309. Calculate the remainder when f(-23) is divided by 26.
25
Suppose -4*i - 3*r = -6*i - 4, -4*i - 3*r = -10. Let a = -18 + 14. What is the remainder when i is divided by (-3)/a + (-2)/(-8)?
0
Suppose -47*c - 325 = -52*c. What is the remainder when c is divided by 35?
30
Let c(j) = 5*j**2 - 2*j + 2. Let d be c(2). Let n(o) = -3*o**2 - 34*o - 8. What is the remainder when n(-11) is divided by d/8 + (-1)/4?
1
Suppose j + 73 = 4*f, 4*f - 4*j + 19 - 95 = 0. What is the remainder when 67 is divided by f?
13
Let t = 76 - 62. Calculate the remainder when 1*-1 - (-126)/3 is divided by t.
13
Suppose 4*p - 50 + 2 = -4*m, -2*p + m = -30. What is the remainder when 143 is divided by p?
3
Let m = -10 + -5. Let h(n) = n**2 + n - 1. Let c be h(2). What is the remainder when 3/c - 861/m is divided by 15?
13
Let z be (-4)/(24/(-15)) - 11/22. Suppose -1206 = z*n - 8*n. What is the remainder when n is divided by 34?
31
Let o(t) = -t**2 + 18*t + 19. Let u be o(18). Suppose 24*b - u*b = 115. What is the remainder when b is divided by 8?
7
Let a(r) = -6*r + 22*r**3 - 21*r**3 + 0*r**2 + 4*r**2 - 12. Let o be a(-8). What is the remainder when (4/(-8))/(2/o) is divided by 14?
13
Let a = 161 - 30. Suppose -5*c + a = -24. Suppose -10*y - y + 121 = 0. What is the remainder when c is divided by y?
9
Let s = 0 - 5. Let r(i) = -13*i + 1. Calculate the remainder when r(s) is divided by ((-4896)/6)/8*2/(-6).
32
Let k(q) = -36*q - 77. Calculate the remainder when 120 is divided by k(-3).
27
Suppose 0 = -4*n + 3*i + 129, 47 - 151 = -3*n - 5*i. Calculate the remainder when n is divided by 20.
13
Let s = 24 - 21. Let d = -7 + 13. Let k = s + d. What is the remainder when k is divided by 3?
0
Suppose 0 = 2*n + 4, 0 = -54*v + 59*v - 4*n - 958. Calculate the remainder when v is divided by 33.
25
Let n = 116 - 212. What is the remainder when 1/(-1 + n/(-94)) is divided by 24?
23
Let f(u) = 51*u + 10. What is the remainder when f(2) is divided by 23?
20
Let a be (-2)/(-1)*(-1 - 142/4). Let d = a + 121. What is the remainder when d is divided by 17?
14
Suppose 2*n = 3*i + n - 240, 3*n - 160 = -2*i. Calculate the remainder when i is divided by 80.
0
Let y be 2/5 + 91/35. Suppose -s = 2*p - 4*p + y, -2*s = 4*p - 10. Calculate the remainder when 36 is divided by p/(-11) + (-725)/(-55).
10
What is the remainder when 4 - (-5 + (-2)/2 + -174) is divided by 3