 4*a = 3*l + 14, -6*l = a - 3*l + 4. Calculate the remainder when 23 is divided by (3 - a)/((-1)/g).
5
Suppose -43 + 3 = 5*s. Let a(c) = c**3 + 8*c**2 - 3*c + 11. What is the remainder when a(s) is divided by 19?
16
Suppose 0*d - 60 = -5*d + 5*r, 4*d - 54 = -2*r. What is the remainder when 44 is divided by d?
5
Suppose 0*r - 4*r = -124. Let t(g) = g**2 + 7*g + 13. Calculate the remainder when t(-13) is divided by r.
29
Suppose 7 = -2*x - 5. What is the remainder when 27 is divided by 27/2 - 3/x?
13
Suppose -18*o = -13*o + 4*l - 61, -3*o + 39 = 3*l. Calculate the remainder when 42 is divided by o.
6
Suppose 0 = -5*c + 177 - 47. Calculate the remainder when 103 is divided by c.
25
Let w(b) = b**3 - 8*b**2 - 9*b. Let v be w(9). Suppose v = -4*f - 4*j + 32, -2*f = 3*j + 4 - 17. What is the remainder when ((-40)/6)/(6/(-18)) is divided by f?
9
Let i = -101 + 106. Calculate the remainder when 13 is divided by i.
3
Let r = 4 - 3. Suppose -4*x + 2*x = -8. Calculate the remainder when x is divided by 3/(-6)*r*-4.
0
Suppose 0*f + 3*f - 18 = 0. What is the remainder when 21 is divided by f?
3
Suppose 3*h - 6 + 3 = 3*q, 4*q - h = 5. Suppose 3*s + 2 + 4 = -3*z, -s = q*z + 5. What is the remainder when 1 is divided by s?
0
Suppose -2*g = -4*t + 16 - 0, g = 0. Suppose t*h - 71 = -3. What is the remainder when h is divided by 6?
5
Let k(b) = b**2 - 4*b + 4. Let d = 48 - 4. What is the remainder when d is divided by k(5)?
8
Let h(s) be the second derivative of -5*s**3/3 + s**2/2 - 4*s. Calculate the remainder when h(-1) is divided by 7.
4
Let j = -81 - -103. What is the remainder when 130 is divided by j?
20
Let s be (-3)/(3/(-24)*3). Let o = s - 11. What is the remainder when (39 + 0)*(-2)/o is divided by 9?
8
Suppose 3*g = 2*g + 15. What is the remainder when ((-2)/(-4))/((-2)/(-116)) is divided by g?
14
Suppose -38 = u + 4*r, -u + 4*r + 3 = 73. Let x = 99 + u. Calculate the remainder when x is divided by 16.
13
Suppose 3*a + 4*j - 33 = 2*a, 5*a + 5*j = 90. Let w(y) = 40*y - 2. What is the remainder when w(1) is divided by a?
12
Let o(r) = -2*r**2 - 6 - 3*r - r**3 + 1 + 10*r**2. Let p(y) = y + 1. Let c be p(4). What is the remainder when o(c) is divided by 19?
17
Suppose 90 = 5*u - 95. What is the remainder when u is divided by (-52)/(-6)*(-6)/(-4)?
11
Suppose 5 = -c, -q + 5*c + 28 + 9 = 0. Calculate the remainder when q is divided by 7.
5
Let f be (-872)/12 - 2/6. What is the remainder when 29 is divided by f/(-5) + 8/20?
14
Suppose 0*p + 5*l = p - 129, 8 = -2*l. Suppose 4*z + 44 = 3*q - 2*q, -2*q = -z - p. What is the remainder when q is divided by 15?
11
Let w(a) = -45*a. Let s = -337 - -361. Calculate the remainder when w(-1) is divided by s.
21
Let o(c) = -c**3 - c + 9. Let n be o(0). Calculate the remainder when 30/9*n/2 is divided by 8.
7
Let t(m) = -m**2 + 3*m + 2. Let g be t(5). What is the remainder when 19 is divided by g/24 - (-62)/6?
9
Let f(v) = -v**2 + 2. Let o be f(0). Let h be 1 + (-3 + o - -54). Suppose h = -4*c + 218. What is the remainder when c is divided by 14?
13
Let k = 1 - -14. Suppose -a = -5*n + 6*n - 23, 2*n - 5*a - 81 = 0. What is the remainder when n is divided by k?
13
Suppose 0 = y - 2*n - 30, 0 = 2*y - 3*y - n + 15. Let g = 35 - y. Calculate the remainder when g is divided by 4.
3
Suppose 2*h - 6 = -4*j, -12 = 5*j - 2*h - 2*h. Suppose 52 + j = 4*m. Calculate the remainder when 38 is divided by m.
12
Let o be 6/(-10) + 44/(-10). Let n(g) = g + 12. What is the remainder when n(o) is divided by 3?
1
Let o(g) = -2*g + 34. What is the remainder when 39 is divided by o(7)?
19
Calculate the remainder when 4 is divided by -3 - -2 - 1 - -4.
0
Suppose 8 = 2*r + 2*r. What is the remainder when (r + -1)/(1/17) is divided by 10?
7
Suppose -16 - 28 = -4*b. Let f(v) be the second derivative of v**4/12 + v**3/2 + v**2 - 2*v. Calculate the remainder when f(-6) is divided by b.
9
Let l(p) = p**3 - p**2 + 16. Let m(u) = -u + 7. Let y be m(5). Suppose -y*b - 4*c = 0, 3*c = -3*b + c. What is the remainder when 47 is divided by l(b)?
15
Let y be -1*(2 + -1)*-20. Suppose 0 = 4*o - y + 8. Suppose 4 - 13 = -o*n. What is the remainder when n is divided by 2?
1
Let h = -65 + 117. What is the remainder when h is divided by 27?
25
What is the remainder when (1 + -2)/((-3)/147) is divided by 26?
23
Calculate the remainder when 81 is divided by (6 - -1 - 4) + 19 + -1.
18
Let h(i) = i**2 + 5*i - 2. Calculate the remainder when h(5) is divided by 13.
9
Let q(y) = -y + 2 - 2 + 7. Let b be q(0). Suppose -5*n = -w - 6, -2*w + b*w + 8 = 3*n. Calculate the remainder when 2 is divided by n.
0
Suppose -175 = -5*h - 5*s, -4*h - 4*s + 3*s = -137. Let d be ((-4)/(-3))/((-6)/(-9)). Suppose 4*f - h = -d. What is the remainder when f is divided by 3?
2
Suppose -12 = -4*f + 8*f. Let k(u) = 4*u**2 - 3. Let n be k(f). Let b = n - 16. Calculate the remainder when b is divided by 9.
8
Suppose a + 14 + 13 = 0. Let r = 60 + a. What is the remainder when r is divided by 17?
16
Suppose -36 = -5*t + 2*t. What is the remainder when 32 is divided by t?
8
Suppose -5*p = 2*s - 13, -3*s + 3 = -4*p - 5. What is the remainder when 14 is divided by s?
2
Suppose -2*t + 78 = 4*n, -8*t - 3*n = -11*t + 153. What is the remainder when 93 is divided by t?
46
Let w(o) = o**3 - 2*o**2 - 4. Suppose 5*j + 4*q - 50 = 0, -3*j + 4*q + 30 = -0*j. Calculate the remainder when w(4) is divided by j.
8
Let h(i) = i**3 - 11*i**2 + 10*i - 2. Let l be h(10). Let k = -5 - -15. Calculate the remainder when k is divided by 7/l*24/(-14).
4
Suppose -m - 4*m + 15 = 0. Calculate the remainder when -5*(-3)/((-12)/(-8)) is divided by m.
1
Let x(y) = -5*y**3 - 8*y**2 - 92. Let f(v) = 3*v**3 + 5*v**2 + 61. Let s(q) = 8*f(q) + 5*x(q). What is the remainder when s(0) is divided by 15?
13
Suppose -40 = -5*f + 35. What is the remainder when 44 is divided by f?
14
Suppose s + 4*s + 15 = 0. Let u be (1 + 85)*s/(-3). Suppose 2*f + 0*q - 44 = -2*q, -3*f = -q - u. What is the remainder when f is divided by 14?
13
Calculate the remainder when 21 is divided by 154/13 - (-18)/117.
9
Let z(s) = s**2 - 10*s + 11. Calculate the remainder when z(11) is divided by 12.
10
Suppose 0 = -5*q - 0*q. Suppose c + 3 = q, 0*c + 63 = 3*g + c. Suppose 0 = 2*y + 2*u - 14, 0*y = -3*y - 2*u + 22. What is the remainder when g is divided by y?
6
Let d(g) be the second derivative of -g**5/20 + g**4/2 + 2*g**2 + g. Calculate the remainder when 6 is divided by d(6).
2
Suppose 3*v = -4*m + 70, 5*v + m - 116 = -5. Calculate the remainder when v is divided by 5.
2
Suppose 4*l - 241 = -5*o - 0*l, 37 = o - 2*l. Suppose -5*u + o = -45. Calculate the remainder when u is divided by 5.
3
Let s(o) = 4*o**3 - 7*o**2 - 6*o + 6. Let n(c) = -9*c**3 + 15*c**2 + 11*c - 13. Let k(r) = -3*n(r) - 7*s(r). Calculate the remainder when k(5) is divided by 10.
7
Let w(d) = d**2 - 6*d - 24. What is the remainder when 2/(-3) - 11/(-3) is divided by w(9)?
0
Let q be (5 - 5)*(-2)/4. Let j = q + 1. Calculate the remainder when 3 is divided by j.
0
Let c = 5 - -49. Calculate the remainder when c is divided by 20 + (0 - 6)*1.
12
What is the remainder when 54/12 + 1/2 is divided by 2?
1
Let y(b) = -b**2 - 6*b - 5. Suppose 13 + 3 = -4*c. Let v be y(c). Suppose -5*k + 45 = v*l, k - 4*k = -2*l - 8. Calculate the remainder when 17 is divided by k.
5
Let t = 66 - 50. What is the remainder when 111 is divided by t?
15
Let v = -2 + 2. Suppose 0 = 5*q - 2*s - 18, -4*q + s + 3*s + 24 = v. What is the remainder when 37 is divided by q/1*7 - 1?
11
Calculate the remainder when 30 is divided by (-570)/(-35) - 2/7.
14
Suppose c - 8 = -2. Let p = 5 + -3. Suppose 6*l - p*t - 44 = l, -4*l = -2*t - 34. Calculate the remainder when l is divided by c.
4
Let c = -7 + 15. What is the remainder when 23 is divided by c?
7
Suppose -160 = 8*m - 12*m. Calculate the remainder when m is divided by 11.
7
Let o(k) = -k**3 - 15*k**2 - 18*k + 19. Calculate the remainder when o(-14) is divided by 13.
10
Let r = -53 - -56. What is the remainder when 16 is divided by r?
1
Let b(v) = 18*v + 3. Let f(p) = -17*p - 4. Let o(n) = -5*b(n) - 4*f(n). What is the remainder when o(-3) is divided by 23?
21
Let t(c) = c**3 - 10*c**2 + 2*c + 10. What is the remainder when 145 is divided by t(10)?
25
Suppose m - 87 + 75 = 0. Calcu