- 4. What is the remainder when m is divided by l(4)?
11
Suppose -9 = -2*z + 3. Suppose 0 = 2*y - z - 0. What is the remainder when 5 is divided by y?
2
Let n = 7 - 3. Suppose 5*i - 20 = -0*i. Suppose -i*q = b - 10, -n*q = q. What is the remainder when 18 is divided by b?
8
Suppose x + 64 = 5*h, -h + 2*h - 2*x = 11. What is the remainder when 49 is divided by h?
10
Suppose -n - 4*l + 0 + 12 = 0, -n = -2*l. What is the remainder when 5 is divided by n?
1
Suppose -6 = -2*u + 32. What is the remainder when 73 is divided by u?
16
Let d = -16 - -14. What is the remainder when 8 is divided by (9/(-6))/(1/d)?
2
Let i = 3 - -2. Let r(f) = -f**3 - 5*f**2 + 5*f + 10. Let h be r(-7). Suppose 4*n - 3 = h. Calculate the remainder when n is divided by i.
4
Let j be (-3)/((-2)/(-3) - 1). Let g = j - 5. Calculate the remainder when 860/28 - g/(-14) is divided by 11.
9
Let c(x) = x - 10. Let n be 2*(-3 - 13/(-2)). Let t be c(n). Calculate the remainder when 5 is divided by -2*(-1)/(-2)*t.
2
Let t(r) = r**3 - 15*r**2 - 14*r + 5. Calculate the remainder when t(16) is divided by 10.
7
Suppose 0*k = -3*k + 60. Calculate the remainder when 37 is divided by k.
17
Let m(j) = 2*j**2 - 7. Let q(p) = -3 + 3 - 8*p. Calculate the remainder when q(-4) is divided by m(3).
10
Let s = -36 - -54. Let j be (-20)/(-6)*(-6)/(-5). Suppose -m = -j*m + s. Calculate the remainder when 16 is divided by m.
4
Suppose 2*v - 10 = 18. Let j(g) = 1 - 2*g + g + 2*g. Calculate the remainder when v is divided by j(7).
6
Let w(a) = -a**3 - 11*a**2 - 9*a + 13. Calculate the remainder when w(-10) is divided by 3.
0
Let c = -7 - -14. What is the remainder when c is divided by 2?
1
Suppose 2*m = 5*y - 68 + 27, 3*y - m = 24. Let c(q) = -q**3 - 5*q**2 + 2*q + 7. Let o be c(-5). What is the remainder when 11 + (-3 + 0 - o) is divided by y?
4
Let k(b) = b + 8. Let r be k(-5). Suppose 4*x = -7*n + r*n - 20, -3*x + n + 1 = 0. Let i(o) = -7*o - 1. Calculate the remainder when 17 is divided by i(x).
5
Suppose 8 = -m + 7*r - 3*r, 5*r = -3*m + 27. Calculate the remainder when m is divided by 3.
1
Let n(j) = -j**3 - 3*j**2 - 2*j - 3. Let x(k) = k**2 - 6*k + 4. Let h be x(4). Let i = h + 7. What is the remainder when n(-3) is divided by i?
0
Let u(x) = 2 - 3*x**2 - 3*x**2 - 5*x + 5*x**2. Let g be u(-5). Calculate the remainder when (g/(-5))/((-2)/230) is divided by 16.
14
Suppose 0 = x - 0*x - 69. Suppose -5*h - 50 = -r - 11, -3*r - h = -x. Calculate the remainder when r is divided by 9.
6
Let l(c) = c + 9. Let h be l(-7). Suppose 2*d + 2*m = 5*m + 66, -h*d + m = -58. What is the remainder when 34 is divided by (8/6)/(3/d)?
10
Let w(f) = -4*f - 2. Let x be w(-2). Let u = x - -5. Suppose -4*j + 9 = 4*s - u, -4*s + 6 = 2*j. Calculate the remainder when j is divided by 3.
1
Let u be -2*(-1 + -1) - -3. Let k = u - -44. Calculate the remainder when k is divided by 26.
25
Let i(w) = -3*w**2 - 10*w + 8. Let g be i(6). Let o = -107 - g. Let u(x) = x**3 + 9*x**2 - 3*x - 9. Calculate the remainder when o is divided by u(-9).
17
Suppose -3*o = -4*l - 66, 5*l + 0*l = o - 22. What is the remainder when 85 is divided by o?
19
Suppose 5*m = 2*m. Suppose m = -4*k - 2 - 18. Let r(q) = -3*q - 1. What is the remainder when 40 is divided by r(k)?
12
Let b be 4/(-14) + 1692/42. Suppose 23 = u + 2*m, -2*u - m = -3*m - b. Calculate the remainder when u is divided by 11.
10
Suppose -2 = -5*c - 2*x + 26, 5*x = c - 11. Suppose m - c = 4. Suppose 0 = 2*l + 5*f - 53, 3 = l - 5*f - 1. Calculate the remainder when l is divided by m.
9
Suppose -4*a + 4*n + 160 = 20, -n - 3 = 0. What is the remainder when 59 is divided by a?
27
Let w = 0 - 0. Suppose b - 4 = -w*b. Suppose 2*q - 22 - 4 = -5*j, q = 2*j - 14. What is the remainder when j is divided by b?
2
Let b be (56/(-20))/(1/(-5)). Let f(h) = -2*h + 3. Let n be f(6). Let g = n + b. What is the remainder when 8 is divided by g?
3
Let t(o) = -o + 2. Let m be t(2). Suppose m = -c + 10. Let p(v) = v**2 - 9*v + 15. What is the remainder when p(c) is divided by 9?
7
Suppose a = -4*a + 55. Let u(d) = d**2 + d + 2. Let r be ((-24)/(-20))/((-1)/5). What is the remainder when u(r) is divided by a?
10
Let h = 9 + -3. Let x(o) = -o**3 + 7*o**2 - 3*o - 2. Let c be x(h). Suppose 3*k = c + 29. Calculate the remainder when 28 is divided by k.
13
Suppose -2*f - 78 = -3*f. Suppose -3*p = n - 25, -12*p = -n - 14*p + 22. What is the remainder when f is divided by n?
14
Suppose 22 = 3*v + 2*b, 0 = 5*v - 0*b - b - 41. Suppose -5*a - 20 = 5*o, -5*o + 5*a + 10 = -0*a. What is the remainder when v is divided by (o/(-3))/(1/15)?
3
Let v(q) = q + 1. Let d be v(-3). Let k(o) be the third derivative of o**5/30 - o**4/12 - o**3/2 + 3*o**2. Calculate the remainder when 25 is divided by k(d).
7
Let n(m) = 3*m + 10. Let i(u) = 4*u + 11. Let j(g) = -2*i(g) + 3*n(g). Suppose 2*c = 4*c - 54. What is the remainder when c is divided by j(6)?
13
Suppose -4*t + 5*j = j + 4, -j = t - 7. Suppose 0*l + 2*l + 344 = 5*d, -4*d = 4*l - 292. Suppose d = t*s + 2*s. Calculate the remainder when 25 is divided by s.
11
Let l = 2 - -28. Suppose -x = 4*x + l. Calculate the remainder when ((-2)/x)/(3/171) is divided by 7.
5
Let t = 15 - 3. Suppose -1 = l - t. What is the remainder when 21 is divided by l?
10
Suppose 0 = -0*d - 13*d + 988. What is the remainder when d is divided by 16?
12
Let o(w) = w**2 - 9*w + 11. What is the remainder when 3 is divided by o(8)?
0
Let a(n) = 2*n**2 - 4*n + 2. Let i be a(-4). Let o = i + -103. Let m = 74 + o. What is the remainder when m is divided by 11?
10
Suppose 3*s + 55 = 5*j, 4*j + 0*j = -3*s + 17. Let p = 15 - j. Calculate the remainder when p is divided by 2.
1
Let u = -8 + 3. Let j = 1 - u. Suppose v = -4*x, -2*v + 0*x - 2*x + j = 0. Calculate the remainder when 10 is divided by v.
2
Let p = 5 - 11. Let k be 1 + (-1)/(-2)*58. Let x = p + k. Calculate the remainder when x is divided by 13.
11
Let m(s) = -s**2 + 6*s - 4. Let v be m(4). What is the remainder when 2/v*0 - -31 is divided by 17?
14
Suppose 3*s = 5*u + 363, -4*s - u = s - 633. Calculate the remainder when s is divided by 43.
40
What is the remainder when 29 is divided by -6 + 2 + 0 + 10?
5
Let l(o) = -o**2 - 12*o - 14. What is the remainder when l(-10) is divided by 5?
1
Let w(i) = 4*i - 2*i - i + 0*i. Calculate the remainder when w(3) is divided by 2.
1
Let u(d) = 10*d - 6. Suppose 4*i + 2*s = 12, i + 6*s = 2*s - 4. What is the remainder when 134 is divided by u(i)?
32
Suppose 3*c + 0*o + 7 = 2*o, -5*o + 21 = -4*c. Calculate the remainder when c is divided by 1.
0
Suppose -100 = 33*d - 37*d. What is the remainder when 71 is divided by d?
21
Let n(j) = -6*j - 3. Let v be n(5). Let c = v + 50. What is the remainder when c is divided by -3*6/((-4)/2)?
8
Let n(s) = 2*s + 7. Let o be n(-5). Let g = o + 3. Suppose -2*m = g, -81 = -3*d + 3*m + m. Calculate the remainder when d is divided by 14.
13
Suppose -1 = u - 32. Suppose 0*k - 4*l = 3*k - u, k - 4*l - 21 = 0. Suppose -i = -4*g + 9, i - 39 = -4*i - g. What is the remainder when k is divided by i?
6
Suppose -y - 3*b - 14 = 0, -b + 6 = -4*y - 3*b. Calculate the remainder when 1 is divided by y/(-3)*(-4 - -1).
0
Let s = -13 + 18. Suppose 8 = s*g - 3*g. Let u = 17 - g. Calculate the remainder when 37 is divided by u.
11
What is the remainder when (121/(-5))/1*-5 is divided by 31?
28
Suppose 5*x + 9 = 8*x. Suppose 9 = -5*j + 4, 8 = x*l - 5*j. What is the remainder when 2 is divided by l?
0
What is the remainder when (3*13)/(4/(8/2)) is divided by 16?
7
Let l(w) = -2*w**3 + 2*w**3 + 8*w**3 - w**2 + 9*w**3 + 1. What is the remainder when l(1) is divided by 9?
8
Let t(r) = -r**2 - 11*r + 16. Let l be t(-11). Suppose 2*o = l + 54. Calculate the remainder when o is divided by 9.
8
Let h be 12/(-8)*(-76)/(-6). Let a = 32 + h. Suppose 3*k + 6*f - 22 = f, -4*f = -k + a. Calculate the remainder when 15 is divided by k.
6
Let k(h) = 3*h - 7. Calculate the remainder when 30 is divided by k(6).
8
Let f(r) = -r**3 + 14*r**2 + 6*r + 5. Calculate the remainder when f(14) is divided by 7.
5
Let d be -2 + (-2 - -1) - -5. Let m(v) = 3 - d*v - 2 - 3. What is the remainder when 21 is divided by m(-5)?
5
Suppose -6 = 2*t, 3*n + 2*t + 2*t + 6 = 0. Suppose -2*u + 128 = n*u. Suppose -2*g + 2 = 0, -f = 4*f + 5*g - 60. 