 remainder when b is divided by 4.
1
Let m = 72 + -30. Let t(f) = 2*f**2 - 4*f + 3. Calculate the remainder when m is divided by t(3).
6
Suppose -36 - 10 = -4*h + 2*p, 0 = -5*h - 2*p + 62. Suppose 4*g = -2*l + 58, -77 = 5*l + 3*g - 236. What is the remainder when l is divided by h?
9
Let z(l) = 2*l - 2. Let h be z(4). Let a = 12 - h. What is the remainder when 16 is divided by a?
4
Let r(f) = -2*f**3 + 2*f**2 + 4*f + 2. Suppose -14*m + 318 = -8*m. What is the remainder when m is divided by r(-2)?
17
Let j(a) = 31*a**2. Calculate the remainder when j(1) is divided by (-4)/(-14) - (37400/(-119))/20.
15
Let b = 23 + -14. Suppose l + 2*q + 4 = -0, 4*q + 36 = 5*l. Calculate the remainder when b is divided by l.
1
Let p = 33 + -26. Let a(q) be the third derivative of -q**6/120 - q**5/12 - q**4/24 + 7*q**3/6 + 3*q**2. What is the remainder when a(-5) is divided by p?
5
Suppose 4*k - 17 = 7. What is the remainder when 9 is divided by k?
3
Let t = 5 - -2. What is the remainder when 35 is divided by t?
0
Let a(d) = 0 + 2 - d - 1 + 2. Let l be a(4). Calculate the remainder when 30*(0 + l - -2) is divided by 11.
8
Let y = 0 - -4. Let x be 1/2*y + 13. Let p = 2 + x. What is the remainder when p is divided by 6?
5
Suppose 6*f - 16*f + 170 = 0. What is the remainder when 50 is divided by f?
16
Let r = 8 - 6. What is the remainder when 4 is divided by r?
0
Let z(d) = -d**3 - d**2 + 3*d + 3. Let w be (-15)/21 + 6/(-21). What is the remainder when 1 + w + 7/7 is divided by z(-2)?
0
Let v(r) = -20*r + 16. Calculate the remainder when v(-4) is divided by 33.
30
Suppose -14 = t - 39. Let l = 39 - t. Calculate the remainder when l is divided by 8.
6
Let q = 0 + 31. Let w(r) = -18*r + 5. Let d(g) = g - 1. Let i(j) = 6*d(j) + w(j). Calculate the remainder when q is divided by i(-1).
9
Let k = 2 - -2. Let d = -86 - -134. Calculate the remainder when d is divided by k/16 - (-99)/4.
23
Suppose -2*f = -5*u + 55, 0 = -f + 4*f. Calculate the remainder when 53 is divided by u.
9
Suppose 7*l = 2*l + 70. Suppose -5*g + 2*g = 42. Let d = 41 + g. What is the remainder when d is divided by l?
13
Let f(t) = -47*t - 1. Let j be f(-1). Let l = j - 25. Calculate the remainder when 39 + (-1 - -3) + 0 is divided by l.
20
Calculate the remainder when 14 is divided by (1 + 0)*(-1 + 6).
4
Let u(s) = -s**3 + 5*s**2 - 4*s + 5. Let o = -5 - -1. What is the remainder when (-30)/o*(-6)/(-5) is divided by u(4)?
4
Suppose 2*n = -n - 27. Let y = n - -28. Let f = 35 + 20. Calculate the remainder when f is divided by y.
17
Suppose n + t + 0 - 7 = 0, -6 = -2*t. Suppose n*o - 4 = 0, 5 = 3*f + 4*o + 13. What is the remainder when 1/(-4) - 9/f is divided by 2?
0
Suppose 4*m - 38 + 5 = -x, -31 = -x - 3*m. Calculate the remainder when 148 is divided by x.
23
Suppose -35 = -3*h + 16. Let z(a) = a**3 + 5*a**2 - 2*a. Let t be z(-5). Let g = h - t. Calculate the remainder when 13 is divided by g.
6
Let m(l) = -2*l - 6. Let y be m(-4). Suppose 7*p - 15 = y*p. Calculate the remainder when 4 is divided by p.
1
Let p = 45 + -29. Let h = 3 + 6. What is the remainder when p is divided by h?
7
Calculate the remainder when (-107)/(-3) - 4/6 is divided by 19.
16
Let q(z) = 6*z**2 + 3*z - 3. Calculate the remainder when 15 is divided by q(1).
3
Let n = 4 + -1. Suppose -2*y - n = y. Let z(h) = -10*h - 1. What is the remainder when 15 is divided by z(y)?
6
Let n(b) = -2*b**2 - b**2 - 4*b - 3*b**3 + 4*b**3 - 2. Suppose 0 = -3*q + k + 41, 0 = -2*q + 4*q + 2*k - 38. What is the remainder when n(5) is divided by q?
13
Suppose 0 = -4*q + 16, 3*o = -o + 2*q + 268. What is the remainder when o is divided by 35?
34
Let z be -2*(1 - 9/3). Suppose -z*u + 73 = -39. Calculate the remainder when u is divided by 15.
13
Suppose -5*w = -110 - 45. Calculate the remainder when w is divided by 17.
14
Let j(c) = -c**2 + 5*c + 3. Let l be j(5). Suppose 179 = 4*f + 67. What is the remainder when f is divided by (-1)/l + 186/18?
8
Suppose 0 = -2*l + 27 + 3. Suppose -3*k = -3*r - 3, -k + 1 - 3 = 2*r. Suppose k = -0*v - v + l. What is the remainder when 43 is divided by v?
13
Let l(r) = r**3 + 4*r**2 + 3*r + 4. Let d be l(-4). Let h = 11 + d. Calculate the remainder when 7 is divided by h.
1
Let i(g) = -2*g**2 - 62*g - 90. Let j(p) = 26*p**2 + 2*p + 3. Calculate the remainder when j(-2) is divided by i(-29).
25
Let f(g) = g**2 - 3*g + 4. What is the remainder when 41 is divided by f(3)?
1
Let f = 3 + 1. Suppose -5*q + 0*q = -0*q. Suppose q*d + 20 = 4*u - 3*d, f*d - 24 = -u. Calculate the remainder when 22 is divided by u.
6
Suppose -5*o = o - 72. What is the remainder when 45 is divided by o?
9
Suppose -4*n + n + 2*p + 16 = 0, -10 = -4*n - 3*p. What is the remainder when 13 is divided by n?
1
Suppose -63 = -7*k + 35. What is the remainder when 55 is divided by k?
13
Let o = 1 + -3. What is the remainder when (1/3)/(o/(-102)) is divided by 2/(-4)*(-12 - 0)?
5
Let p = -7 - -9. Suppose v - 18 = -3*a, v - a - 12 = -p*a. What is the remainder when 26 is divided by v?
8
Let q be (9/(-3) - -3)*-1. Suppose -2*z - 4*b + 18 = q, -3*z = b + 2*b - 27. What is the remainder when 25 is divided by z?
7
Suppose 2*a = 68 + 12. Suppose f + 21 = 2*f. Calculate the remainder when a is divided by f.
19
Suppose 3*m - 92 = -m. Suppose -m = -v + 3*s, -v + 8 + 19 = -4*s. Suppose -r + 2*k = -22, -r + 5*k = -4*r + 121. Calculate the remainder when r is divided by v.
10
Suppose 71 = 4*d - 49. Calculate the remainder when 58 is divided by d.
28
Let r = -1 + 1. Let v be 120/(-32)*(-32)/3. Suppose 5*h - v = -r*h. What is the remainder when 14 is divided by h?
6
Suppose 0 = -2*o - 3*u + 3, -5*o = -2*u - 3*u - 70. Let i(q) = 10*q - 4. Calculate the remainder when i(o) is divided by 29.
28
Let r = -42 + 108. Calculate the remainder when r is divided by 17.
15
Suppose 251*w = 258*w - 154. Calculate the remainder when w is divided by 8.
6
Let c(m) = m**3 + 12*m**2 - 14*m - 10. Suppose 5*j + 54 = d - 14, -4*j = -d + 55. What is the remainder when 7 is divided by c(j)?
1
Let x = 49 - 28. Calculate the remainder when x is divided by 12.
9
Calculate the remainder when 3294/81 - (-1)/((-3)/(-1)) is divided by 24.
17
Suppose 4*j + 2*t = 72, 2*t + 20 = 4*j - 68. Let c be 204/28 + 4/(-14). Suppose 4*g - c = 3*g. Calculate the remainder when j is divided by g.
6
Let g = -77 + 121. Let k(x) = 12*x - 2. Let n be k(2). Suppose -3*i - 2*a + 53 = 0, 3*i - 2*a = i + n. Calculate the remainder when g is divided by i.
14
Let l(b) = 2*b**2 - b - 4. Calculate the remainder when 11 is divided by l(-2).
5
Suppose 2*a + 49 = 3*f + 238, -486 = -5*a + 3*f. Calculate the remainder when a is divided by 25.
24
Let s(h) = h**2 - 5*h + 7. What is the remainder when 19 is divided by s(5)?
5
Let c = -201 + 248. What is the remainder when c is divided by 17?
13
Suppose 2*d + 0 = -4*s - 2, -2*s - 4 = -2*d. Suppose j + j - 2 = 0, -2*a + 32 = 4*j. What is the remainder when a is divided by 9 + 1*(-2 - s)?
6
Let n(a) = -a - 3. Let j be n(-4). Suppose 4*p - 9 = -d, -4 = p - 5*d - j. Let o(r) = r**2 + 4*r + 3. Calculate the remainder when o(-4) is divided by p.
1
Suppose 0 = -5*s + 53 + 7. What is the remainder when (-4)/((-12)/105) - 2 is divided by s?
9
Let w = 17 - 7. Suppose 0 = s - w + 2. Calculate the remainder when 15 is divided by s.
7
Suppose 75 = -0*f + 5*f. Suppose 6 = -4*g + 2. Let a = g + f. What is the remainder when 40 is divided by a?
12
Let p(y) = -y**3 - 28*y**2 - 51*y + 36. What is the remainder when p(-26) is divided by 6 + (-9)/3 + 1?
2
Let c(y) be the third derivative of -y**5/20 - y**4/24 + y**3/6 - 2*y**2. Let k be c(1). What is the remainder when (1 - 102/k) + 0 is divided by 18?
17
What is the remainder when 3/42*6 - (-273)/49 is divided by 4?
2
Let s = -47 + 29. Let u = s + 48. What is the remainder when u is divided by 8?
6
Let z(l) = -l**2 + 6*l - 3. Let j be z(5). Suppose -j*y + u - 16 = -3*u, -5*y - 5*u = -35. What is the remainder when 5 is divided by y?
1
Suppose 4*b + 0*b + 5*o = 20, -3*b + 3*o - 12 = 0. Suppose s - 4 = -b*s. Suppose -18 = -s*v + 2*v. What is the remainder when 16 is divided by v?
7
Let d(k) = k**3 + 0*k**3 - 5 + 2*k**2 + 4*k**2 - k. Let x = -1 + 2. Calculate the remainder when x is divided by d(-6).
0
Suppose 0 = 4*j - 4*n - 0*n - 104, 3*j - 53 = -2*n. Calcula