5*x, 2*x = 3*x - y - f. Calculate the remainder when (-8)/20*7*-5 is divided by x.
4
Let l(p) be the third derivative of p**4/24 - p**3/2 + p**2. Let m be l(3). Suppose m*g = -3*g + 33. What is the remainder when g is divided by 6?
5
Suppose -u - 5*s + 16 = -8, 50 = 4*u - 3*s. Let c(p) = -8*p - 40. What is the remainder when c(-10) is divided by u?
12
Suppose f + 2 = 5. Suppose 2*v = -3*s + 23, 0*s = -2*v + f*s + 29. What is the remainder when 62 is divided by v?
10
Let z = 1 + 1. Let b = 5 + z. Calculate the remainder when b - 6/((-6)/(-2)) is divided by 3.
2
Let l = -12 - -79. Calculate the remainder when l is divided by 15.
7
Let n be (-1)/(4/8) - -12. Suppose 2*o = -0*o + f + 10, -2*o + 4*f = -n. Let b(x) = 2*x**2 + 6*x - 7. What is the remainder when b(-5) is divided by o?
3
Let m(n) = -n**3 - n**2 + 39. Suppose 2*p = 2 + 2. Suppose p*j + 8 + 10 = o, 56 = 4*o - 4*j. What is the remainder when m(0) is divided by o?
9
Suppose -10 = -2*p + c, -14 = -4*p + p + c. Suppose 223 = p*w + 7. Calculate the remainder when w is divided by 14.
12
Let s(y) = y**2 - 2*y - 2. Let k be s(4). Calculate the remainder when 47 is divided by 4/k - 46/(-3).
15
What is the remainder when (5 + (-135)/25)*-495 is divided by 67?
64
Suppose -3*x - 65 = -3*n - 293, -4*n = -2*x + 148. Calculate the remainder when x is divided by 20.
18
Suppose -i = -5, 4*f - 4*i - 61 = 91. Suppose 5*m - 64 = 3*k, -k = -2*k - 3*m + 2. Calculate the remainder when f is divided by 6/(-39) - 197/k.
13
Let b = -39 + -1. What is the remainder when 99 is divided by 2/(36/b - -1)?
19
Let v(h) = 3*h + 3. What is the remainder when 16 is divided by v(2)?
7
Suppose 0 = 3*i - i - 8. Suppose -i = 5*t - t. Let b = 3 + t. What is the remainder when 2 is divided by b?
0
Let o(g) = g**3 + 3*g**2 - 1. Let l be o(-2). Suppose -5*c - 38 = -3*b, -5*c + 9 = b - l*c. Calculate the remainder when b is divided by 4.
3
Let c = -34 - -48. Let s be -5*1/((-15)/6). Suppose -y + 15 = s*y. What is the remainder when c is divided by y?
4
Let r(j) = 5*j - 1. Suppose 3 = a, -a - 56 = -5*w - 3*a. Calculate the remainder when r(6) is divided by w.
9
Suppose -2*t + 28 = 2*r, 85 = 5*t - 2*r + 15. Let f = -21 - -46. What is the remainder when f is divided by t?
11
What is the remainder when 61 is divided by 35 - ((-2)/(-10) - 2/10)?
26
Suppose -5*n + 9 = m, 5*n - 2*n + m = 5. Suppose -n*w + 17 = -17. What is the remainder when (2 - 1)*1 - -48 is divided by w?
15
Let o(r) = -r**2 + 4*r + 3. Let f be o(7). Let w = f + 30. What is the remainder when 59 is divided by w?
11
Suppose -9*s - 110 = -317. Let j = 14 - 2. Calculate the remainder when s is divided by j.
11
Suppose 38 = 3*g - 31. What is the remainder when 90 is divided by g?
21
Let a = 32 + -47. Let w = a + 23. Let u(v) = -v**3 + 9*v**2 - 9*v + 10. Calculate the remainder when 3 is divided by u(w).
1
Let r = -64 + 69. What is the remainder when r is divided by 5 + 0 + (-2)/1?
2
Suppose -6*l = -l - 10. What is the remainder when -4 + (l - 0) + 16 is divided by 8?
6
Let s(t) = t - 1. Let h(l) = -16*l - 4. Let f(m) = h(m) - 5*s(m). What is the remainder when f(-2) is divided by (-28)/(-2) - (-2 - -1)?
13
Let v(s) = -41*s. Let m be (6/4 - 2)*2. What is the remainder when v(m) is divided by 21?
20
Let d = 12 + -3. Calculate the remainder when 9*-17*(-3)/d is divided by 27.
24
Suppose 4*g - 17 = -u, -4*u - g - 1 = -9. Let i = 13 + u. Calculate the remainder when 27 is divided by i.
13
Suppose -2*t + 4 + 7 = p, 5*t + 10 = 0. What is the remainder when 73 is divided by p?
13
Suppose 0*m + 2*m = -3*l + 52, 0 = 2*l - 4*m - 24. What is the remainder when (-5)/(-10)*122*1 is divided by l?
13
What is the remainder when 122 is divided by 2*(-25)/(-6)*3?
22
Let o(u) be the second derivative of -u**3/6 + 2*u**2 + u. Let t be o(5). Calculate the remainder when (4*t)/((-8)/124) is divided by 21.
20
Let u(m) = 4*m - 3*m + 7*m - 1 - 2*m. Calculate the remainder when u(4) is divided by 12.
11
Suppose 0 = -5*z + 194 + 31. Let n(g) = 3*g + 1. Calculate the remainder when z is divided by n(5).
13
Suppose 5*l - 10 = 5. Suppose 0*n + 2*n = 3*y + l, n - 12 = -2*y. What is the remainder when 16 is divided by n?
4
Let x be (-1)/3 - (-3)/9. Suppose 3*f + 2*r - 24 = -r, -3*r = -3*f. Suppose -f*u + 40 = -x*u. Calculate the remainder when 19 is divided by u.
9
Let u = 1 - -17. Let q(t) = t**2 - t. Let w(z) = z**2 - 9*z - 7. Let f(b) = 2*q(b) - w(b). Calculate the remainder when u is divided by f(-7).
4
Suppose 65 = o + 4*o. What is the remainder when 20 is divided by o?
7
Suppose 0*i + 192 = 4*i. Let g = i - 34. Calculate the remainder when g is divided by 8.
6
Let w(p) = 2*p**2 + 2. Let i(g) = -g**2 + 13. Let f be i(0). Let q be 37/f + 6/39. Calculate the remainder when w(q) is divided by 7.
6
Let b(o) be the first derivative of o**4/4 + 7*o**3/3 - 2*o**2 - 14*o + 6. Calculate the remainder when b(-7) is divided by 5.
4
Calculate the remainder when 31 + 3/((-1)/(-1)) is divided by 12.
10
Suppose 0*m = -3*m + 3. Calculate the remainder when 2*m*(-148)/(-8) is divided by 10.
7
Let q(a) be the second derivative of -a**4/12 - a**3/2 + 2*a**2 - 3*a. Let y be q(-3). Suppose -12 = -y*s + 3*s. What is the remainder when 35 is divided by s?
11
Let o be (-4 + 0)/(1/(-1)). Suppose 0*i = o*i - 16. Calculate the remainder when i is divided by 2.
0
Let m = -184 - -213. What is the remainder when m is divided by 10?
9
Suppose 3*v = 0, -2*i - 2*i - 5*v = -12. Suppose 3*k + 2 = -t - i, 4*k - 4*t - 20 = 0. Suppose k*g = g - 20. What is the remainder when 38 is divided by g?
18
Suppose -18 = 3*f - 0*f. Let n(k) = -k**3 - 7*k**2 - 7*k - 4. Calculate the remainder when ((-2)/(-4) + -1)*f is divided by n(-6).
1
Let b(a) = a**2 + 2*a - 3. Calculate the remainder when 47 is divided by b(-5).
11
Let p be (-8)/6 - 468/(-27). Let d = -3 + p. Calculate the remainder when 37 is divided by d.
11
Let d(j) = -37*j - 6. What is the remainder when d(-1) is divided by 9?
4
Suppose f + 18 = 2*f. Calculate the remainder when f is divided by 5.
3
Suppose -u + 33 = 9. Suppose 0 = 3*z - 4*h - u, 10*h + 27 = 3*z + 5*h. Calculate the remainder when 11 is divided by z.
3
Suppose m + 2 = 4*j - 4*m, 0 = 3*m - 6. Calculate the remainder when 9 is divided by j.
0
Suppose -3*w + 4*w = 48. Let c = 6 - w. Let v = -23 - c. Calculate the remainder when v is divided by 10.
9
Let y = -82 + 146. Let v(k) = k + 22. Suppose -2*m - 8 = 4*w, 3 = -4*m - 13. What is the remainder when y is divided by v(w)?
20
Let w(g) = -2*g. Let q be w(-1). Suppose -z = -q*v - 6, -3*z - 26 = -4*z - 2*v. Calculate the remainder when 31 is divided by z.
15
Let l be (8/(-16))/((-2)/12). Suppose -l = -0*a - a. Calculate the remainder when (-3)/15 + 82/10 is divided by a.
2
Suppose -y + 2 = y. What is the remainder when 19 is divided by (19 - -2)*y/3?
5
Suppose 2 + 2 = i. Suppose 2*s = 4*f - 214, -5*f + 208 = -f + i*s. Suppose 422*l = 419*l + 54. What is the remainder when f is divided by l?
17
Suppose -13*y + 8*y + 45 = 0. What is the remainder when 62 is divided by y?
8
Let c(v) = 5*v + 1. Let i be (-10)/30 - (-10)/3. What is the remainder when (-1 - 2)*31/(-3) is divided by c(i)?
15
Let p(m) = 3*m**2 + 4*m + 1. Suppose 4*a = 43 + 9. Suppose 0 = 4*y - d - 0*d + a, -5*y = 5*d + 10. What is the remainder when 30 is divided by p(y)?
14
Let p(u) = -u - 24. Let v be p(0). Let j = v + 37. Calculate the remainder when j is divided by 8.
5
Suppose -3*v = -46 + 7. What is the remainder when 24 is divided by v?
11
Calculate the remainder when 232 is divided by ((-1)/(-3))/(1266/(-423) - -3).
44
Let q = 4 - 2. Let f = -14 - -35. Suppose q*t - f = 3. What is the remainder when t is divided by 7?
5
Let a(d) = 3*d**3 - d**2 - 2*d + 3. Calculate the remainder when (-5)/((4/(-22))/(1 - -1)) is divided by a(2).
17
Let w(x) = x**2 - 9*x - 2. Let d be w(9). Calculate the remainder when 5 is divided by -2*4/d + -2.
1
What is the remainder when 17 is divided by (-17)/(-5) - (3 - (-26)/(-10))?
2
Suppose -2*z = -16 - 14. Let h = 2 + -5. Let n(l) = 2*l**2 + 3*l - 3. Calculate the remainder when z is divided by n(h).
3
Suppose -2*c - 26 = -120. What is the remainder when c is divided by 25?
22
Let c be ((-102)/(-10))/(8/(-40)). What is the remainder when (c/(-9) + -2)*3 is divided by 4?
3
Suppose 3