4*d, -3*d = -0*d - 2*x - 74. Suppose 4*f + 123 - 159 = 0. Calculate the remainder when d is divided by f.
8
Let k = 46 - 1. Suppose 3*o = -2*o + k. Let q(g) = 2*g - 6. Calculate the remainder when o is divided by q(6).
3
Suppose 4*c + 0*w - 52 = -4*w, -4*w + 16 = c. Suppose -3*t = l + l - 90, 3*l = -3*t + 132. Calculate the remainder when l is divided by c.
6
Calculate the remainder when 232 is divided by (-1)/((-143)/(-18) + -8).
16
Suppose -2*b - 3 = -5*b - 3*k, -5*b - 2*k = -17. Calculate the remainder when 5 is divided by b.
0
Suppose -3*z = 2*w - 6*w + 4, -4*w + 8 = -2*z. Suppose -7*m = -67 + w. Calculate the remainder when m is divided by 7.
2
Suppose -4*a + 14*a - 40 = 0. Let t be 1/((-4)/16*-1). Suppose 5*b + t = 6*b. What is the remainder when b is divided by a?
0
Let n(o) = -3*o + 8. Let c(g) = -g + 16. Let v be c(11). Suppose 5*z = v*a + 10, 0*a - 3*a - z = 26. Calculate the remainder when 114 is divided by n(a).
27
Suppose 5*s - 388 = -3*n, 4*s - 438 + 49 = -3*n. Calculate the remainder when n is divided by 1/(-4) + (-354)/(-8).
43
Suppose -86 = -2*k - 2*d, 5*d = k - 52 - 15. Calculate the remainder when 320 is divided by k.
38
Suppose 5*d - m - 10 = d, -16 = -5*d + 3*m. Suppose -d*w = -7*w - b + 146, -b + 117 = 4*w. Calculate the remainder when w is divided by 10.
9
Suppose 0 = -2*o - 4*l + 18, 5*l - 28 = o + 2*o. Let c = o - -6. Let k(a) = a**3 - 12*a**2 + a - 6. Calculate the remainder when k(12) is divided by c.
1
Let k(u) = 5*u - 10. Let r be k(6). Suppose -35*l - r = -37*l. What is the remainder when l is divided by 4?
2
Suppose -2*n - 3 = -5, -2*m - 4*n + 84 = 0. Let r = -41 - -44. Suppose -r - 25 = -2*k. Calculate the remainder when m is divided by k.
12
Let m be (-18)/(-4) + (-3)/6 + 0. Suppose -12 = m*a, 5*a + 28 - 82 = -3*i. Calculate the remainder when 76 is divided by i.
7
Let h(l) = l**3 + 11*l**2 + 12*l - 3. Let t be h(-10). Let p = -31 - t. Let f = 2 - p. Calculate the remainder when f is divided by 5.
0
Suppose 0 = -4*i - i + 270. What is the remainder when i is divided by (5/(-1) + 4)*-28?
26
Suppose -2 = -2*w + 18. Suppose -5*j = -12 + 2. Suppose -w = -3*s + c + j, -2*c - 12 = -3*s. What is the remainder when 11 is divided by s?
3
What is the remainder when (2 - (-554)/14) + 424/(-742) is divided by 4?
1
Suppose 5*z + 62 = 7. Let o(i) = -4*i - 10. Suppose -4*b - q = -265, 2*b - 4*q = -7*q + 145. Calculate the remainder when b is divided by o(z).
31
Suppose -2*f - 4*d = -f + 6, 5*f - 66 = 4*d. Calculate the remainder when 399 is divided by f.
9
Suppose -15 = 5*n - 10*n, g + 5*n - 24 = 0. What is the remainder when 1194 is divided by g?
6
Let d = -2 + 7. Let c(h) = -h + 65. What is the remainder when c(23) is divided by d?
2
Let b = 94 - 94. Let c(d) = 2*d**3 + 2*d**2 - d + 8. What is the remainder when 38 is divided by c(b)?
6
Let p(d) = -12*d - 29. What is the remainder when 35 is divided by p(-4)?
16
Suppose 4*c - 2*c - 305 = -3*x, -c = 3*x - 304. Calculate the remainder when x is divided by 17.
16
Suppose 0 = -5*s + z + 240 + 103, 4*z - 215 = -3*s. Suppose 20*l - s + 9 = 0. Let g = -6 + 8. Calculate the remainder when l is divided by g.
1
Let f = -1525 - -1541. Suppose -6*x = -x - 30. What is the remainder when (-1)/(-2) - (-267)/x is divided by f?
13
Let j(r) = -5*r**3 + 14*r**2 + 10*r - 7. Let v(k) = 4*k**3 - 13*k**2 - 9*k + 6. Let i(s) = -5*j(s) - 6*v(s). Calculate the remainder when i(-7) is divided by 8.
4
Let g(t) = t - 10. Let x be g(12). Let r be 4 - (1 - 3)/x. Suppose 2*k + 16 = 2*p - 0, 5*p + 2*k = r. What is the remainder when 7 is divided by p?
1
Suppose 11*u + 504 - 4013 = 0. Let n = -221 + u. Calculate the remainder when n is divided by 33.
32
Suppose 1 - 12 = b. Let t = 16 + b. Calculate the remainder when 8 is divided by t.
3
Let p = -42 + 41. Let r = -50 - -91. What is the remainder when r is divided by 2*(p - 8*-1)?
13
Suppose 0 = -12*i + 22*i - 330. Let q = -15 + 27. Let o = q + 5. What is the remainder when i is divided by o?
16
Let z be 18/2*(-7)/(-7). Let s = z + -9. Suppose -3*v + 23 + 22 = s. Calculate the remainder when 57 is divided by v.
12
Suppose 7 = o - 3*d - 3, 3*o + 2*d + 3 = 0. What is the remainder when 34 is divided by (4/6)/(o + 25/(-27))?
7
What is the remainder when 6410/40 - ((-13)/(-4) + -3) is divided by 34?
24
Suppose 4*q + 5*u = 327, 0 = -5*q + 3*u + u + 460. Suppose -6*w = -2*w - q. Suppose -5*b + 33 = -w. What is the remainder when b is divided by 4?
3
Let l = -9 + 45. Let v be l/24*(-28)/6. Let f(u) = 2*u + 16. Calculate the remainder when 2 is divided by f(v).
0
Let o be 2*((2 - -2) + -2). Let b(a) = a**2 + a - 5. Calculate the remainder when 37 is divided by b(o).
7
Let q(l) = 933*l + 2816. Let d(w) = w**3 - w**2 + w + 1. What is the remainder when q(-3) is divided by d(2)?
3
Let b(p) = 19*p**2 + 2*p - 1. Let n(o) = o**2 - 2*o + 3. Let y = 13 + -9. Calculate the remainder when b(1) is divided by n(y).
9
Let m = -115 + 345. Calculate the remainder when m is divided by 78.
74
Let k be ((-5)/((-5)/(-6)))/((-38)/57). Suppose 0 = -2*b + k*b - 28. What is the remainder when 6 is divided by b?
2
Suppose s + 36 = -2*a + 139, a - 49 = 2*s. Let i = a + -47. What is the remainder when 7 is divided by i?
3
Let b(d) = d**2 + d - 3. Let c be b(-3). Suppose 5*q - 36 = c*q. Calculate the remainder when q is divided by (16/(-4))/16 - 42/(-8).
3
Suppose -17*c = -429 + 140. Calculate the remainder when 78 is divided by c.
10
Let y(t) = 2*t**2 - 15*t - 30. What is the remainder when y(13) is divided by 20?
13
Let m = 702 - 350. Suppose 8*v = 16*v - m. What is the remainder when 219 is divided by v?
43
Let b = -998 + 1029. Let u(s) = -4*s. Let n = -5 - -2. Calculate the remainder when b is divided by u(n).
7
Suppose 98*u - 92*u = 1554. What is the remainder when u is divided by 10?
9
What is the remainder when 29 is divided by 3/2*2*(-35)/(-21)?
4
Let c = 11 - 14. Calculate the remainder when 22 is divided by (9/(-6))/(c/10).
2
What is the remainder when (7/(-1) + 5)/(4/(-730)) is divided by 61?
60
Let r = -186 - -190. Calculate the remainder when 11 is divided by r.
3
Suppose -58 = -5*c + 2*t, -18 = -4*c + 5*t + 25. Calculate the remainder when 85 is divided by 777/27 + c/54.
27
Let z = 17 - 13. Suppose -4*a + j = -5*a + 8, 4*a - 48 = z*j. Suppose a = -0*x + 2*x. What is the remainder when 13 is divided by x?
3
What is the remainder when 214 is divided by (-1)/(6/(-228)) - -5?
42
Let i(t) = 2*t**3 - 4*t**2 - 12*t - 9. What is the remainder when i(5) is divided by 25?
6
Calculate the remainder when -1 + (-3)/((-6)/46) is divided by 20.
2
Let t = 86 + -86. Suppose -4*u = -5*v - 8*u + 49, -2*v + 4*u + 42 = t. What is the remainder when 75 is divided by v?
10
Let m(r) be the second derivative of r**3/3 + 20*r**2 + 7*r. Calculate the remainder when ((-8)/(-10))/((-4)/(-110)) is divided by m(-14).
10
Suppose -49*i - 888 = -61*i. Let l(f) = -f**3 - 5*f**2 - 4*f - 4. Let a be l(-4). What is the remainder when i is divided by (-1 - 1)*38/a?
17
Suppose 2*y + 1 = -5*p + 19, -17 = -4*p + y. What is the remainder when (p + 35/(-14))/((-6)/(-40)) is divided by 17/4 + (-1)/4?
2
Let t be -4*(3 - 6)/6. Let r(f) = -f**3 + 3*f**2 + 2*f + 1. What is the remainder when (17/2)/((-4)/(-8)) is divided by r(t)?
8
Suppose 0 = -2*o + 53 - 45. Suppose -v + 2*v + 5*p - 29 = 0, 5*p - 116 = -o*v. What is the remainder when v is divided by 5?
4
Let i(m) = 3*m - 5. Let s be i(5). What is the remainder when (32/s)/(8/100) is divided by 14?
12
Let x(s) be the second derivative of -22*s**3/3 - s**2/2 + 3*s. Suppose 5 = a - 10. Calculate the remainder when x(-1) is divided by a.
13
Suppose -2*v + 4*d + 74 = -328, 4*v - 791 = -5*d. What is the remainder when v is divided by 40?
39
Let f(t) = t**2 + 3*t - 2. Let a be f(-4). Suppose -6*x + a*x - 28 = 0. Let u(k) = -3*k - 9. What is the remainder when 22 is divided by u(x)?
10
Calculate the remainder when (30/120)/((-1326)/1328 + 1) is divided by 90.
76
Suppose 17 + 165 = 2*z. Calculate the remainder when z is divided by 5 + -1 + ((-9)/3 - -45).
45
Suppose 4*k = k + d - 8, -5*k = 5*d + 20. What is the remainder when 23 is divided by 2*(k + 0 + 7)?
7
Let b(w) = -33*w - 10. Let h be (1/2 + 12/(-8))*1. What is the remainder when 114 is divided by b(h)?
22
Let k = 112 - -9