 Calculate the remainder when 73 is divided by z(-7).
34
Suppose 0 = -4*m + 404 + 148. Suppose -5*i - 28 + m = 0. Suppose 0 = 3*u - 5*l - 215, -2*u - 2*l = 2*u - 252. What is the remainder when u is divided by i?
21
Suppose -5*x + 38 = -5*z + 3, -z + 8 = 4*x. Suppose -2*s - 5 = 5*p, -p + 18 = 3*s - 2*p. Let j = s - x. Calculate the remainder when 4 is divided by j.
0
Suppose 0 = -5*b - n + 39, 2 = 2*b - 6*n + 3*n. Calculate the remainder when 26 is divided by b.
5
Let q(j) = -3*j**2 + 2*j - 1. Let o be q(1). Let t(g) = g**2 - g + 2. What is the remainder when 13 is divided by t(o)?
5
Let n = 222 - 91. Suppose -3*b - 8 + n = 0. What is the remainder when b is divided by 22?
19
Calculate the remainder when (-6)/(-15)*(-110)/(-4) is divided by 6.
5
Suppose -a = 4*s - 7, 2*a = 6*s - s - 25. Suppose 0*d - 5*d + 21 = -t, -t - 13 = -s*d. Suppose 27 = d*k - 5. Calculate the remainder when 14 is divided by k.
6
Let i(f) = -9 - 2*f - 2*f + 2*f. Let t be i(-7). Let g = -2 + t. What is the remainder when 8 is divided by g?
2
Suppose -19 = -9*f + 17. What is the remainder when 12 is divided by f?
0
Suppose 3*p - 12 = -v, 4*v = 4*p + v - 3. Let a(i) = -i**2 + 6*i - 1. What is the remainder when a(5) is divided by p?
1
Let q = 40 - 6. Suppose 0 = 4*x - 30 - q. Suppose 2*s + 4 - x = 0. What is the remainder when 11 is divided by s?
5
Let o = 22 + -1. Calculate the remainder when 82 is divided by o.
19
Let b(n) be the first derivative of 1 - 9*n - 1/3*n**3 + 6*n**2. Calculate the remainder when b(8) is divided by 8.
7
Suppose -3*p + 15 = h - 0*p, 11 = h + 2*p. What is the remainder when 4 is divided by h?
1
Suppose 0 = 5*p - c - 145, 6*p - c = 2*p + 116. Suppose -14*i = -3*i - 1243. Calculate the remainder when i is divided by p.
26
Let q(l) = l**2 - 3*l - 5. Let x be q(-4). Let g be x + 1/2*-2. Let k = g + -11. Calculate the remainder when k is divided by 4.
3
Let j(u) = u**2 + 4*u + 8. Calculate the remainder when j(-7) is divided by 15.
14
Let b = 12 + -10. Suppose f + 0*f = 4*y - 9, -b*y = 4*f. Suppose 305 = y*d + 3*d. Calculate the remainder when d is divided by 21.
19
Suppose -5*c - 27 = -3*y, y + 4*c = 2*c + 9. Calculate the remainder when 15 is divided by y.
6
Let s = -362 + 511. Calculate the remainder when s is divided by 50.
49
Calculate the remainder when 115 is divided by (-3 + (-58)/(-6) + -4)*9.
19
Suppose -6*z - z = -63. What is the remainder when 16 is divided by z?
7
Suppose 0 = -d - 4*u + 27, 3*u - u = -4*d + 52. Let v = -7 + d. Calculate the remainder when 7 is divided by v.
3
Let w be (-6)/8 + (-1449)/(-28). Suppose -5*b = 2*n - 40, w = 5*n + 2*b - 7. What is the remainder when 18 is divided by n?
8
Let x(i) = i**2 + i. Let a(v) = -v**3 + 3*v**2 - 3*v + 2. Let l(f) = a(f) + 5*x(f). Let g = 6 + 46. Calculate the remainder when g is divided by l(8).
16
Calculate the remainder when (-3)/6*(-140)/21*12 is divided by 14.
12
Let d(u) = -11*u - 50. Calculate the remainder when 6/27 + 718/9 is divided by d(-7).
26
Let m(a) = a**2 + 26*a - 72. What is the remainder when 41 is divided by m(-29)?
11
Suppose 0 = -0*v - v - 4*r + 25, -4*r = -3*v + 11. Let z = -6 + v. Calculate the remainder when z is divided by 1.
0
Let p(n) = -n**2 - 19*n - 14. What is the remainder when p(-11) is divided by 38?
36
Suppose 13 = 4*j - 3*j. Calculate the remainder when 37 is divided by j.
11
Let n(g) = -g**3 - 6*g**2 + 5*g - 2. Calculate the remainder when n(-7) is divided by 7.
5
Let h(k) = -k + 8. Let z be h(4). Let u = z + 3. What is the remainder when 27 is divided by u?
6
Suppose -4 + 26 = q. Calculate the remainder when 42 is divided by q.
20
Let g(y) = y**2 - 1. Let q = -169 + 191. What is the remainder when q is divided by g(3)?
6
Suppose 29 = 3*d + 4*v, -2*d + 6*v = v - 4. What is the remainder when 10 is divided by d?
3
Let j be 10/8*4/1. Suppose -q + 41 + 27 = -4*g, -j*g + 84 = 2*q. Calculate the remainder when q is divided by 14.
10
Let k(m) = m**2 - 7*m + 8. Let q be k(6). Suppose h - 2 = q. Calculate the remainder when 14 is divided by h.
2
Let g = 0 + -4. Let f be g/(12/219) + -1. Let p = 119 + f. Calculate the remainder when p is divided by 16.
13
Let n(f) = 2*f**3 + 2*f**2 - 3*f + 2. Suppose 0*m - 11 = -4*s - 3*m, -2*s + m + 3 = 0. Calculate the remainder when n(s) is divided by (-6)/(-27) - 122/(-18).
6
Let t(o) = -o + 29. Calculate the remainder when 91 is divided by t(5).
19
Let x(h) = -4*h + 4. What is the remainder when 61 is divided by x(-3)?
13
Let n(w) = w**3 - 6*w**2 + 5*w + 4. Let g be n(4). Let u = g - -24. What is the remainder when (-426)/(-9) - 2/6 is divided by u?
15
Let q be 6/2*5/3. Suppose -f = -q*b + b + 8, 3*b = 9. Suppose -4*d + 18 = 3*i - 3*d, -3*i = -d - 18. What is the remainder when i is divided by f?
2
Suppose y - 3 - 20 = 0. Let n = 38 - y. Calculate the remainder when n is divided by 1*(3 + -1) + 2.
3
Suppose -15 = -5*r - 5*k, -2*r - k = 3*k - 8. What is the remainder when (1 - 1) + (5 - r) is divided by 3?
0
Let d(a) = 3*a - 2. Calculate the remainder when 24 is divided by d(5).
11
Let y = 0 - -3. What is the remainder when -7 - (-28 + (3 - -1)) is divided by y?
2
Let i = 3 - 4. What is the remainder when (0/(-2))/i + 16 is divided by (-4)/6*(-9 - 0)?
4
Suppose 0 = -2*h - 2*y + 40, 0*h - 3*y - 4 = -h. Calculate the remainder when h is divided by 92/15 + 6/(-45).
4
Let i = 170 - 72. Calculate the remainder when i is divided by 11.
10
Suppose -18 = -4*s - 2*x, -2*s - 3*x = -s - 12. Suppose -v = -3*p + 52, v + s = 2. What is the remainder when 49 is divided by p?
15
Suppose 4*v + 16 = 4*u, 2*v + v = -9. Suppose -3*p - 117 = 4*k, -p = 4*p + 2*k + 181. What is the remainder when u is divided by (-2)/(-7) + (-25)/p?
0
Suppose 0 = -3*r - 3 + 9. Suppose 4*n = 5*v - 19, 2*v - 26 = r*n - 5*n. Let z(u) = -7*u - 9. Calculate the remainder when z(-4) is divided by v.
5
Suppose 19 + 5 = 3*u. Suppose 2*p - u - 5 = -w, 3*p - 51 = -5*w. What is the remainder when 52 is divided by w?
7
Suppose -o = -k + 40, -k - 3*o + 49 = -o. What is the remainder when k is divided by 15?
13
Suppose 32 = 2*l - 90. What is the remainder when l is divided by 9?
7
Suppose -5*i + 8 = -47. Let t(s) = -3*s**3 + s. What is the remainder when t(-2) is divided by i - -1 - (0 + 0)?
10
Suppose 5*b - 22 - 6 = -3*f, -2*f + 27 = 5*b. What is the remainder when (b - 24)*(0 + -1) is divided by 10?
9
Suppose g + 26 = 42. What is the remainder when 43 is divided by g?
11
Let u(d) = 9*d**2 + 3*d - 10. Let l be u(-5). Suppose 4*p - 2*c - l = -48, 4*p + 4*c - 140 = 0. Calculate the remainder when p is divided by 10.
7
Let l = 473 - 467. Calculate the remainder when ((-4)/2)/((-2)/15) is divided by l.
3
Let b = -5 + 11. Let j = 19 + -6. Calculate the remainder when j is divided by (-15)/(-2)*4/b.
3
Let v(l) = -2*l**2 - 2*l - 3. Let j be v(3). Let w = 27 + -24. Calculate the remainder when (-5 + 2)/(w/j) is divided by 14.
13
Let t = 17 + -11. Suppose 3*x - 2*x - 15 = s, 0 = 5*s + 25. What is the remainder when x is divided by t?
4
Let u be (2/(-3))/(4/(-6)). Let c = u + 1. Suppose l + 158 = 3*w + 2*l, 5*w - 265 = -c*l. What is the remainder when w is divided by 13?
12
Calculate the remainder when 25 is divided by (-13)/((2 - 1) + -2).
12
Let r = 13 - 1. Let z = r - -4. Calculate the remainder when 31 is divided by z.
15
Suppose -2*r - 36 = -5*r. What is the remainder when 46 is divided by r?
10
Let c = 8 + 17. What is the remainder when c is divided by 9?
7
Suppose -5*s + 13 = -4*s - 2*x, -3*s + x + 39 = 0. What is the remainder when 24 is divided by s?
11
Let y(d) = -22*d + 5. Let q(a) = a - 1. Let j(i) = 6*q(i) + y(i). What is the remainder when 58 is divided by j(-1)?
13
Let w = 4 + 1. Suppose 0 = -4*s + 2*l + 171 - 51, -3*l = w*s - 172. What is the remainder when s is divided by 11?
10
Suppose 276 = -5*b - 3*a, 0*b - 2*a - 220 = 4*b. Let f = 78 + b. Calculate the remainder when f is divided by 13.
11
Suppose -9 = -w - 2*w. Let l(s) be the second derivative of s**3/6 - 2*s**2 + 2*s. What is the remainder when l(8) is divided by w?
1
Suppose 0 = h + 5*x - 7, -1 = -5*x + 9. Calculate the remainder when (-17)/(-3) + (-2)/(-6) is divided by 3 + 3*(-1)/h.
2
Let j(n) = -n + 1. Let i be j(-1). Let x(c) be the second derivative of c**4/6 - c**3/6 - c. What is the remainder when 23