r when p is divided by x.
9
Let o(f) = f**2 - 2*f - 9. What is the remainder when 76 is divided by o(7)?
24
Suppose 0 = j + 5*p - 2*p - 12, -15 = -5*p. Suppose 70 = 5*c + 5*s, 2*c = -s + j*s + 36. Let i(m) = 6*m - 9. What is the remainder when i(9) is divided by c?
13
Let y(g) = 5*g**3 - 2*g**2 + 2*g - 1. Let u(m) = -m**2 + 6*m + 3. Calculate the remainder when u(4) is divided by y(1).
3
Let d(c) = -c**2 + 12*c - 5. Let n(s) = -s**2 + 9*s - 7. Let a be n(6). What is the remainder when 11 is divided by d(a)?
5
Let n be (-10)/3 + (2 - 5)/(-9). Let q(a) be the first derivative of -a**4/4 - a**3/3 + 3*a**2/2 + 4*a + 1. Calculate the remainder when 24 is divided by q(n).
11
Let h(n) = n**2 + 4*n + 6. Let c be 2/3*(-15)/2. What is the remainder when 42 is divided by h(c)?
9
Let p(k) = k**2 - 6*k - 10. Let x be p(8). What is the remainder when (-13)/(9/x + -2) is divided by 14?
12
Let l be 1 + 1 + 2 + -3. Calculate the remainder when (-4 + l + 2)*-43 is divided by (1 + -4)/((-2)/10).
13
Let t(p) = p**2 + p - 4. Let y be t(-3). Suppose -3*n = 5*l - 245, -y*l + 2*n = 3*l - 220. What is the remainder when l is divided by 16?
14
Suppose 3*f - 25 = j - 6*j, -j = 3*f - 17. Suppose 3*m - 20 = j*m. Let l = -21 - -32. Calculate the remainder when m is divided by l.
9
Let s be 1 - -1 - -21 - 0. Let d = 37 - s. What is the remainder when 27 is divided by d?
13
Let h = 2 - -1. Suppose 3*c - 21 + h = 0. Calculate the remainder when 21 is divided by c.
3
Suppose -21 = 3*i - 51. What is the remainder when 39 is divided by i?
9
Let r = 67 + -30. What is the remainder when r is divided by 19?
18
Let h(v) = v**2 - 7*v + 3. Let n be h(7). Suppose r = 5*p - 43 + 10, 4*p - n*r = 33. What is the remainder when 16 is divided by p?
4
Let b(v) = v**2 - 4*v + 19. What is the remainder when b(5) is divided by 9?
6
Let v = 176 + -110. What is the remainder when v is divided by 14?
10
Let l(g) = -8*g - 2. Calculate the remainder when l(-2) is divided by 3.
2
Let w = 1 + -6. Let v be (-2)/9 - 101/(-9). Let q = v + w. Calculate the remainder when 16 is divided by q.
4
Let l = -27 + 84. Suppose 3*b - 46 = -4*s, 4*s + 2*b - l = -9. What is the remainder when s is divided by 8?
5
Let u = -21 - -27. Suppose -8*n = -u*n - 156. Calculate the remainder when n is divided by 20.
18
Let a be -1 + (103 - (-6)/2). Let b = a + -39. What is the remainder when b is divided by 17?
15
Suppose 1 = 2*x - 5. Let z = -9 - -14. Calculate the remainder when z is divided by x.
2
Let s(f) = 9*f + 2. Let g be s(4). Let a = -11 + 17. Suppose 4*p = -a*j + 5*j + g, 0 = -2*j - 4. Calculate the remainder when 19 is divided by p.
9
Suppose a + 3*a = 192. What is the remainder when a is divided by 17?
14
Let h = 81 - 34. What is the remainder when h is divided by 24?
23
Let r be (-1)/(-5) + 102/15. Let g(o) = 6*o - 1. What is the remainder when (r/2)/((-3)/(-18)) is divided by g(2)?
10
Suppose -4*q - 3*o = -103, 2*o = -0*o - 6. Suppose 4*p - 8*p + q = 0. What is the remainder when 13 is divided by p?
6
Let n be 5*(-5 + 2)/(-3). Suppose -n*a - 9 = -4. Calculate the remainder when 21 is divided by (-3*(3 - a))/(-1).
9
Let y(n) = n**2 + 3*n - 3. Let a be y(2). Let d = a + 1. Calculate the remainder when 22 is divided by d.
6
Let h = 5 + -9. Let v(j) = j**2 + j - 2. Let z be v(h). Suppose -2*f + z = -f. Calculate the remainder when 18 is divided by f.
8
Suppose t + 9 = 2*q, 2*t + 8 = -q - 0*q. Let l(d) = -d**3 - 4*d**2 + 2*d + 1. What is the remainder when l(t) is divided by 6?
4
Suppose c - 1 = 19. Calculate the remainder when (-4)/5 + 398/10 is divided by c.
19
Let w(k) = 21*k**3 + k**2 - 4*k + 2. Calculate the remainder when 158 is divided by w(1).
18
Let l(c) = c**2 - 2*c + 2. Let x be l(2). Suppose x*t + 34 = 3*t. What is the remainder when t is divided by (-12)/5*5*-1?
10
Let z = -14 - -23. Let r be 0*3/z - -4. Suppose 2*i - 5*w - 78 = r, -205 = -5*i + 2*w. Calculate the remainder when i is divided by 14.
13
Let b = 186 + -129. Suppose d = 4*d - b. What is the remainder when d is divided by 10?
9
Let k = -3 - -10. Suppose b - 5*q + 9 = 0, -4*b + 2*q - 4*q + 8 = 0. What is the remainder when b - (2 - 1 - 13) is divided by k?
6
Let x(c) be the second derivative of c**3/3 - c**2 - 4*c. What is the remainder when 11 is divided by x(4)?
5
Let h(u) = -u**3 - 8*u**2 - 10*u + 1. Let g be h(-7). Suppose -o - g = -3*o. Calculate the remainder when 41 is divided by o.
8
Let x(u) = u**2 + 3*u + 10. What is the remainder when x(-7) is divided by 21?
17
Suppose -3*g = -n - 5 - 0, -3*n - 15 = g. Suppose 4*h - 2 - 2 = g. What is the remainder when h is divided by ((-1)/2)/((-2)/4)?
0
Suppose 5*j = 4*u + 4*j - 224, u = 3*j + 67. Suppose 0*m = 5*m - u. Calculate the remainder when ((-15)/(-2))/(6/16) is divided by m.
9
Let g = -23 - -35. Suppose 3*h - 2*f + 98 = -2*h, -2*f = -h - 18. Calculate the remainder when (46/8)/((-5)/h) is divided by g.
11
Let d = -57 + 74. What is the remainder when 66 is divided by d?
15
Calculate the remainder when 3/5 + (-3 - 110/(-25)) is divided by 2.
0
Suppose 3*o - 2 = 4. Suppose -2*l + 36 = o*l. Let j(u) = -u + 17. What is the remainder when j(0) is divided by l?
8
Suppose 2*q + 578 = 3*v + v, q = -v + 146. Calculate the remainder when v is divided by 21.
19
Let d(y) = -y**3 + y**2 - y + 38. Calculate the remainder when d(0) is divided by 10.
8
Let w(s) = 4*s**3 + s**2 - 1. Let j(z) be the first derivative of z**2/2 - 7*z + 2. Let a be j(8). What is the remainder when w(a) is divided by 2?
0
Suppose g + 1 = 5. What is the remainder when 11 is divided by g?
3
Suppose 3*p + 0*p = 27. Suppose 2*v = -2*v + 12. Calculate the remainder when p is divided by v.
0
Let a(u) = 24*u**2 + 4*u + 12. What is the remainder when a(-2) is divided by 17?
15
Suppose 67 = 4*r + 5*n, 2*r = r - 3*n + 22. What is the remainder when 58 is divided by r?
6
Suppose 7*b = 2*b + 160. Calculate the remainder when b is divided by 18.
14
Let d(y) = -y**3 + 6*y**2 - 5*y + 8. Calculate the remainder when d(5) is divided by 3.
2
Let b(s) = s + 1. Let l be b(-1). Let p = 2 + l. Suppose -q = 5*d + 1, q + 4*d = -p*q + 8. What is the remainder when 15 is divided by q?
3
Let p(r) = 4*r - 3. What is the remainder when p(7) is divided by 13?
12
Let u(s) = 4*s**2 + 16*s + 2. Let b(a) = 3*a**2 + 15*a + 2. Let y(m) = 5*b(m) - 4*u(m). Calculate the remainder when 47 is divided by y(10).
11
Suppose -3*y + 29 = 5. Suppose 4*k = 12, -k - 15 = -4*q - 6. Suppose 5 = 4*r + q*v + 2, -3*v = 3*r. Calculate the remainder when y is divided by r.
2
Let t(j) = j**3 + 2*j**2 + j + 75. Calculate the remainder when t(0) is divided by 38.
37
Let d(x) = -x**2 - 3*x + 6. Calculate the remainder when d(-3) is divided by 1.
0
Suppose 10 = 5*d - 5*f, 2*d = 6*d - f - 20. Let z be 2/(-4)*d/3. What is the remainder when 50 is divided by 17*(z - (-2)/1)?
16
Calculate the remainder when ((-136)/2)/((-20)/30) is divided by 35.
32
Let y = -29 + 21. Let b = 3 - y. Calculate the remainder when 21 is divided by b.
10
Let j = 2 + -1. Let l(v) = 12*v + 68. What is the remainder when l(-5) is divided by 5/(1*1/j)?
3
Let p = 22 - 12. Calculate the remainder when 59 is divided by p.
9
Suppose -4*x - 2*w = -48, 3*x + 4*w = -0*w + 41. What is the remainder when 32 is divided by x?
10
Suppose d + 0 = -10. Let z = d - -6. Let b = 9 + z. What is the remainder when 9 is divided by b?
4
Let i be 66/(-10) + (-3)/(-5). Let o(s) = s**2 - s + 2. What is the remainder when o(2) is divided by (i + 5)/((-1)/3)?
1
Let b(t) = 11*t**2 + 2*t - 1. Let f = -3 + 0. What is the remainder when b(1) is divided by (0 + 1)/(f/(-21))?
5
Suppose 9*l = 4*l + 55. Let v = l + -3. What is the remainder when 43/3 + (-6)/(-9) is divided by v?
7
Let b = -11 + 15. Suppose -b = -3*v + 2. Suppose -v*i + 4*i = 26. What is the remainder when 50 is divided by i?
11
Suppose -4*y + 3*u = -2*y - 115, 0 = y - 3*u - 62. Suppose 0 = 4*j - 3*k - y, -j + 15 - 4 = -3*k. Calculate the remainder when 35 is divided by (9 + -2)*24/j.
11
Suppose 3 - 9 = -3*z + s, -z + s + 2 = 0. Let b = 11 - z. What is the remainder when 34 is divided by b?
7
Let w be (-2)/(-5) + (-44)/10. Let q(l) = l**2 + 3*l - 3. What is the remainder when 3 is divided by q(w)?
0
Let a be (-1)/4 + (-21)/(-4). Suppose -3 = -s + a. Let k(t) = t**2 - 8*t + 1. 