er when p(6) is divided by 8.
7
Let l(x) = x**3 + 4*x**2 - 8*x - 3. Let g be l(-5). Let z be 3 + 4/(-2) + 21. Let y = z - g. Calculate the remainder when y is divided by 6.
4
Let g = -56 - -89. Calculate the remainder when g is divided by ((-18)/5)/((-4)/10).
6
Let q(l) = 23*l - 2. Suppose 3*r - 2*v = -5, 0*r - v = -4*r. What is the remainder when 62 is divided by q(r)?
20
Let z(h) = -h + 10. Let o = -41 + 65. Suppose 2*k + 3*t = o, 0 = -0*k - k - 2*t + 14. What is the remainder when z(0) is divided by k?
4
Suppose 5*a + 5*b - 1029 = -354, a - 138 = -4*b. What is the remainder when a is divided by 34?
32
Let o = 30 - 21. Let x = 15 - o. Calculate the remainder when 21 is divided by x.
3
Suppose -2*m - 12 = v, 2*m + 3*m - 5*v + 60 = 0. What is the remainder when -3*(m/(-4) + -5) is divided by 3?
0
Suppose 0 = -4*s - 2*s + 138. Suppose -28 - 39 = -w. Calculate the remainder when w is divided by s.
21
Suppose 5*j = 5*h - 120, 5*h - 126 = -2*j + 15. What is the remainder when 74 is divided by h?
20
Suppose 10*j - 215 = 5*j. What is the remainder when 123 is divided by j?
37
Let n(a) = a**3 + 10*a**2 + 4*a - 15. Calculate the remainder when n(-9) is divided by -1 - (-11 + -2 + 1).
8
Let m = -194 - -229. Calculate the remainder when 208 is divided by m.
33
Let x be 5/(-25) - (-14)/(-5). Let a(q) = -2*q**3 - q**2 + 4. Calculate the remainder when a(x) is divided by 25.
24
Let x = -10 - -10. Suppose -i + b + 3*b = 13, x = -5*i + 5*b - 35. What is the remainder when 7 is divided by (-3)/6 - i/2?
1
Calculate the remainder when 49 is divided by (1/((-3)/(-84)))/2.
7
Let z(d) be the first derivative of d**4/4 - 2*d**3 + 3*d**2 - 8*d - 5. Suppose -j = -3 - 3. Calculate the remainder when z(j) is divided by 10.
8
Let t = -1 + 5. Let z be (-4)/3*(-9)/6. Suppose -z*o = -t*w + o + 30, -5*w - o = -47. What is the remainder when 35 is divided by w?
8
Suppose -f = p - 5, f + 3*p = -0*p - 1. Let h(r) = 7*r - 7. What is the remainder when h(5) is divided by f?
4
Let q(m) = -m**3 - 11*m**2 - 15*m - 22. What is the remainder when q(-10) is divided by 11?
6
Let d(m) = m**3 + 4*m**2 + m + 2. What is the remainder when 31 is divided by d(-3)?
7
Let q = 32 + 31. Calculate the remainder when q is divided by 16.
15
Let g(b) = -2*b - 6. Let f be g(-4). Calculate the remainder when ((-1)/f)/(5/(-180)) is divided by 10.
8
Let y = -4 - -5. Let w be 16/4 + 1/y. What is the remainder when 28 is divided by 2*(225/6)/w?
13
Suppose -4*c + 26 = -0*c - 2*u, 0 = 4*u + 12. Suppose -c*w + 60 = x, 0 = 3*w - x - 37 + 1. Suppose 5*g - w = 4*g. What is the remainder when g is divided by 7?
5
Let c be (-4)/8 - 5/(-2). Suppose 3*p - 5*o = 3, -25 = -4*p - o + c. Calculate the remainder when 10 is divided by p.
4
Let t be 6/4*(-48)/36. What is the remainder when 19 is divided by 20/4 - t/1?
5
Suppose -2*l - l + 126 = 0. Calculate the remainder when 125 is divided by l.
41
Let q(l) = l**3 - 6*l**2 + 9*l - 14. Calculate the remainder when q(6) is divided by 11.
7
Suppose 5*i - 18 + 3 = 0. What is the remainder when 2 - (3 + -183)/i is divided by 21?
20
Let t(s) = -8*s - 2. Let j be t(2). Let l = -13 - j. Calculate the remainder when 19 is divided by l.
4
Let a = 15 - 13. Suppose 0 = f - a*h - 9, -2*f + 33 + 10 = h. What is the remainder when 75 is divided by f?
18
Suppose 2*d - 13 = -3. Suppose d*v = 2*v + 51. Calculate the remainder when 33 is divided by v.
16
Suppose 5*u - k = 0, -5*u - 2*k + k = 0. Suppose -5*i + c = u, -i + 6*i - 15 = -2*c. Calculate the remainder when i is divided by 1*2/4*2.
0
Calculate the remainder when 30 is divided by (2/4)/((-25)/(-600)).
6
Suppose 0 = -4*w + 6*w - 182. What is the remainder when w is divided by 16?
11
Let o(s) = s - 10. What is the remainder when 13 is divided by o(15)?
3
Suppose -3*d + 179 = -3*u + 4*u, d - 545 = -3*u. Let q = -109 + u. Calculate the remainder when q is divided by 25.
23
Suppose -2*s + 3*i + 23 = 0, -2*s + 37 = s - 5*i. Let z = 7 + -4. What is the remainder when s is divided by z?
1
Let s = -27 - -16. Let q = 7 - s. Calculate the remainder when 34 is divided by q.
16
Let i = -17 + 34. Calculate the remainder when 65 is divided by i.
14
Suppose -x - 4*x - 8 = 2*h, 0 = 2*x + 5*h + 20. Suppose -5*c - 10 = x, 14 + 29 = 3*p - 2*c. Calculate the remainder when 51 is divided by p.
12
Let w(g) = -3*g - 2. Let m be w(-2). Suppose p = -p + 2*s - m, 0 = p - 3*s - 2. Calculate the remainder when 13 is divided by (-16)/p - (-1 - 0).
3
Let j = -16 + -10. Calculate the remainder when 8/52 - 490/j is divided by 11.
8
Suppose -44 = 17*v - 21*v. Calculate the remainder when v is divided by 4.
3
Suppose 16 + 3 = j. What is the remainder when j is divided by 5?
4
What is the remainder when 30 is divided by -5 - (2 - 5) - -10?
6
Let z = 8 + 34. Let h = z - 24. Calculate the remainder when 35 is divided by h.
17
Suppose 0*y - 15 = -3*y. Suppose 2*r = y*r - 24. What is the remainder when 23 is divided by (-2 + -14)*(-6)/r?
11
Suppose -23 = 4*q - 131. Let m = -5 + q. Calculate the remainder when 63 is divided by m.
19
Let d(m) = -7*m**2 + 195*m + 36. Let r(j) = 29*j + 1. Let u be r(4). Suppose -u + 7 = -5*p. Calculate the remainder when p is divided by d(28).
6
Suppose -4*q + 8 = -32. What is the remainder when 26 is divided by q?
6
Suppose l - 59 = -3*d - 3*l, 25 = d - 4*l. Calculate the remainder when d is divided by 8.
5
Let s = -44 + 62. Suppose 4*f = 5*n - 70, 2*n + 5*f = 6*n - 65. What is the remainder when s is divided by n?
8
Suppose 2*c = -5*o + 3*o + 44, 14 = o - 3*c. Calculate the remainder when 77 is divided by o.
17
Suppose x + 3 = -1, 0 = 2*h - 4*x - 16. Suppose h = 4*m - 0*m - 52. Suppose 0*s = -4*s + 96. What is the remainder when s is divided by m?
11
Let j(r) = 2*r**3 + 3*r**2 - 5*r + 2. Calculate the remainder when j(2) is divided by 7.
6
Let s(x) = 3*x + 1. Let y(n) = -n**2 + 9*n + 14. Let a be y(10). Let f = 34 - 10. What is the remainder when f is divided by s(a)?
11
Suppose -3*z + 2*z + 33 = 5*x, -2*z + 38 = 3*x. What is the remainder when 76 is divided by z?
11
What is the remainder when (98/4)/((-10)/(-20)) is divided by 13?
10
Let k be 46/14 + (-2)/7. Suppose -k*m + 3*v = 2*v - 7, -5*m - 5*v = -5. Calculate the remainder when (-3)/(m/2) + 14 is divided by 3.
2
Let a(m) = 5*m + 3*m**2 + 2 - 1 + 0*m. Suppose -4*g + 0*g + 40 = 0. Calculate the remainder when a(-4) is divided by g.
9
Let l = 33 - 18. What is the remainder when l is divided by 4?
3
Calculate the remainder when 28 is divided by 0/(-1) - (-10 + 0).
8
Suppose 51 = -2*m - 9. Let u be (-3)/5 + (-78)/m. Suppose -13 = -u*i + 35. What is the remainder when i is divided by 13?
11
Let n = 19 + 12. Calculate the remainder when n is divided by 12.
7
What is the remainder when (4/(-8) + -1)*-2 is divided by 1?
0
Let a(m) = -m**3 - 22*m**2 + 19*m - 76. What is the remainder when 110 is divided by a(-23)?
14
Let p(t) = 7*t. Let l be p(-2). Let u = 2 - l. What is the remainder when u is divided by 6?
4
Suppose 34 = 5*k - b + 5*b, -4*k + b + 23 = 0. Let o(w) = 2*w. Let h = 19 - 12. What is the remainder when o(k) is divided by h?
5
Let u = 25 + -14. What is the remainder when 19 is divided by u?
8
Let k(s) = 13*s**2 - 2*s + 1. Suppose -5*u - 4 = 2*q - 6, -3*u + 39 = -3*q. Let x = 31 + q. What is the remainder when x is divided by k(1)?
10
Let k(c) = -2*c - 4. Suppose -5*v + 30 = -0*v. What is the remainder when k(-13) is divided by v?
4
Let h = 5 - 14. Let v = 3 - h. Calculate the remainder when -5*((-44)/10 - 0) is divided by v.
10
Let y(b) = 22*b + 1. Let p be y(-3). Let d = -24 - p. What is the remainder when d is divided by 14?
13
Suppose -5*f + 47 = 4*m, -2*f = 2*m + 2*m - 50. Suppose 3*i = 55 - m. What is the remainder when ((-106)/(-6))/(1/3) is divided by i?
11
What is the remainder when 18 is divided by 4/(-12) - 16/(-3)?
3
Calculate the remainder when 93 is divided by (4 + 40/(-6))*-6.
13
Suppose 5 = 3*a - 10. Suppose 0 = -a*m + 3*m + 46. What is the remainder when m is divided by 12?
11
Let l = -13 - -22. What is the remainder when 17 is divided by l?
8
Let b be -2*((-42)/4)/7. Calculate the remainder when 38 is divided by 2 + 5 + b - -3.
12
Calculate the remainder when 43 is divided by 1 - ((3 - 0) + -10 + -15).
20
Let w(q) = 16*q + 9. Let b be w(7). Suppose -b = -4*j +