. Let x = -6 + 14. Let b = x - 1. Calculate the remainder when b is divided by m.
1
Let k(q) = -5*q. What is the remainder when 97 is divided by k(-4)?
17
Suppose 18 = -6*i - 12. Let d(o) = -o**3 - 5*o**2 - 3*o - 4. What is the remainder when (2/(-4))/(2/(-76)) is divided by d(i)?
8
What is the remainder when 21/(-84) + 97/4 is divided by 9?
6
Calculate the remainder when 1 - 0 - (-164)/2 is divided by 28.
27
Suppose 2*n - 82 - 18 = 0. Calculate the remainder when n is divided by 13.
11
What is the remainder when 34 is divided by 3 - (3 + -1 + -8)?
7
Let u = 31 - 19. Calculate the remainder when u is divided by 7.
5
Suppose 0 = q - 5*q + 8. Let s(j) be the third derivative of -j**5/60 + j**4/4 - j**3/3 - j**2. Calculate the remainder when s(5) is divided by q.
1
Let v = -5 + 4. Let s(n) = -49*n. What is the remainder when s(v) is divided by 17?
15
Let y = -140 - -211. What is the remainder when y is divided by 22?
5
Suppose -2*p - 6 = -p + 3*q, 0 = p + q. Let b = 55 + -25. Suppose -h + b = 5*y - 6*h, p = -h. Calculate the remainder when 7 is divided by y.
1
What is the remainder when 84/49*231/3 is divided by 45?
42
Let j be (0 - 1)/((-3)/27). Suppose -4*b + 5*v + 15 = -j*b, 0 = -4*b + 2*v + 6. What is the remainder when 2 - b - 5*-1 is divided by 3?
1
Let r = -21 - -24. Suppose r*f = 2 + 85. Calculate the remainder when f is divided by 10.
9
Let v = -6 - -1. Let g = 9 + v. Suppose -29 = g*u - 81. What is the remainder when 23 is divided by u?
10
Let h = 19 + -8. Calculate the remainder when 41 is divided by h.
8
What is the remainder when (-8370)/(-70) - (-3)/7 is divided by 31?
27
Let v be (3/3 - -17) + -4. Suppose v = 5*y - 71. Calculate the remainder when 66 is divided by y.
15
Let x(k) = -k**3 + 9*k**2 - 11*k + 2. Let s(g) = g. Let w(o) = 6*s(o) + x(o). What is the remainder when w(6) is divided by 27?
26
Let a = -2 - -13. Suppose 2*f = -5*y + 212, y + 5*f = 3*y - 79. What is the remainder when y is divided by a?
9
Suppose -5*t + 174 = 64. What is the remainder when t is divided by 5?
2
Suppose 21 = 2*s + 11. Calculate the remainder when 8 is divided by s.
3
Suppose 2*q + 2*o - 5*o - 18 = 0, -q = -5*o - 2. Suppose 10*t = q*t - 12. Calculate the remainder when 11 is divided by t.
5
Let v = -12 - -17. Suppose x - v*x = -88. Suppose -2*y = -2*c + 2*y + x, 0 = 4*c + y - 62. Calculate the remainder when c is divided by 8.
7
Let k(i) = -2*i**2 - 12*i - 2. Let b be k(-11). Let g = -37 - b. What is the remainder when g is divided by 26?
23
Let h(g) = -g**2 - 4*g + 29. What is the remainder when 1/(-3) - (-332)/6 is divided by h(-7)?
7
Suppose 0 = c - 0*m + 2*m - 4, -5*m - 15 = 0. What is the remainder when 37 is divided by c?
7
Suppose -m - 4*w = -w - 114, 5*m - 2*w = 638. Calculate the remainder when m is divided by 34.
24
Let l = 5 + -3. Let j(h) = -h**3 - 5*h**2 - 5*h - 2. Let k be (-1 - 1)/((-4)/(-8)). What is the remainder when l is divided by j(k)?
0
Suppose -7*n + 3*g + 478 = -2*n, 3*n - g - 286 = 0. Calculate the remainder when n is divided by 24.
23
Let j(i) = -i**2 + 9*i - 9. Calculate the remainder when 32 is divided by j(5).
10
Let z(n) = -n**2 + 7*n + 10. Let k be z(8). Let w(q) = 1. Let g(i) = 16*i + 3. Let a(r) = g(r) - 6*w(r). What is the remainder when a(k) is divided by 15?
14
Let k(a) = a**2 - 7*a + 3. Let v be k(7). Suppose -72 = -n - v*n. Calculate the remainder when n is divided by 10.
8
Suppose s - 4*s = -66. What is the remainder when s is divided by 6?
4
Let j(c) = c**2 - c + 9. Let y(z) = z - 4. Let k(d) = -3*j(d) - 7*y(d). Let m be k(-4). Calculate the remainder when 40 is divided by 1/2*(-3 - m).
12
Let n(p) = -p**3 + 2*p**2 + p + 5. Suppose -g = -2*u - 26, 0 = -4*u - 2 - 6. Let s = g - 13. What is the remainder when s is divided by n(0)?
4
Let p = -1 - -18. Calculate the remainder when 65 is divided by p.
14
Let v = -14 - -19. Suppose 0*i = v*i - 95. What is the remainder when i is divided by 7?
5
Let b(l) = -17*l**2 + 2*l - 1. Let g be b(1). What is the remainder when 126/8 - 4/g is divided by 6?
4
Suppose -7*j + 64 = -34. Calculate the remainder when 25 is divided by j.
11
Let u be (-38)/10 - (-1)/(-5). Let c be 10/6 - u/12. Suppose -5*v + 5 + 0 = 5*y, 2*v - c*y - 10 = 0. What is the remainder when v is divided by 1?
0
Let b be (-1)/(-4) - (-5)/(-4). Suppose -21 = 5*l - 86. Let q = l - b. Calculate the remainder when 54 is divided by q.
12
Suppose -4*b + 9 = -0*b - m, 5*b + 3*m - 24 = 0. Let z(j) = b - 4 + 5 - j + 1. What is the remainder when 43 is divided by z(-6)?
10
Suppose 3*b = -4*m + m + 177, -m + 1 = 0. Calculate the remainder when b is divided by 15.
13
Suppose -2*d = -4, t - 4*t = 5*d - 31. Suppose -5*p - 3*o + 9 = 0, 0 = 2*p - 0*p + 2*o - 2. What is the remainder when t is divided by p?
1
Suppose 8 + 27 = 5*t. What is the remainder when t is divided by 3?
1
Let w(y) = -y + 11. Let q be w(9). Suppose -q*i + 3 = -u - 31, -3*i - u + 46 = 0. Suppose -i - 28 = -4*r. Calculate the remainder when r is divided by 6.
5
Let m(r) = -r**3 + 7*r**2 - r + 7. Calculate the remainder when m(6) is divided by 8.
5
Let p = 126 + -84. Let x = -5 - -14. Suppose -20 + x = -d. Calculate the remainder when p is divided by d.
9
Let s = -9 - -9. Suppose t + 4*t - 85 = s. What is the remainder when 67 is divided by t?
16
Let t = -46 - -63. Calculate the remainder when t is divided by 10.
7
Suppose 2*c - 33 = -c. Let p(t) = -4*t - 20. Calculate the remainder when p(-13) is divided by c.
10
Suppose 20 = -10*t + 5*t. What is the remainder when t/6*-3 - -3 is divided by 4?
1
Let b(h) = 2*h**2. Let d be b(1). Suppose -d*m + 4 = 5*s, -5*s - 3*m + 10 = 2*m. Suppose s = -3*y - 20 + 134. What is the remainder when y is divided by 13?
12
Let n = -4 - -24. What is the remainder when 58 is divided by n?
18
Let h(s) = 5*s - s**2 - 13*s + 2 - 1 - 3. Calculate the remainder when 40 is divided by h(-4).
12
Let j(t) = t**2 + t + 16. Let z be j(0). Let h = z + 10. Let f = h - 15. Calculate the remainder when 20 is divided by f.
9
Suppose 3*q - 23 = -0*f + f, -2*q - 22 = 4*f. Calculate the remainder when 100*2/f*-2 is divided by (2 - 1)*(-5)/((-5)/17).
16
Let v = 9 - 5. Suppose 0 = -v*i + 5*n + 35, 4*i - 13 - 13 = 2*n. Suppose -i*s = -s - 40. Calculate the remainder when s is divided by 3.
1
Let q(i) = -9*i + 4. Let a(d) = -18*d + 9. Let j(c) = -2*a(c) + 5*q(c). Let g = -41 + 52. What is the remainder when j(-2) is divided by g?
9
Let w = 31 + -20. Suppose 22 + 174 = 4*b - 5*f, 3*f = 12. What is the remainder when b is divided by w?
10
Suppose -12 - 13 = -w. Let h = 2 - 14. What is the remainder when w is divided by (-4)/h*(2 + 37)?
12
Let x be ((-40)/(-12))/(2/3). Suppose 2*w - x = -1. Calculate the remainder when 2 is divided by w.
0
Let q(p) = 2*p**2 - 20*p + 11. What is the remainder when q(11) is divided by 9?
6
Let l = 15 + -11. Let x(v) = -v + 16. Let a be x(11). Suppose -l*i = -a*y - 76, -y = 2*i + 4*y - 38. What is the remainder when i is divided by 7?
5
Let x(h) = h**2 - 2*h - 2. Let a be x(6). Let c = a - 10. Let i(j) = -33*j + 1. What is the remainder when i(-1) is divided by c?
10
Let p be (-9)/3*2/(-3). Suppose p*t - t - 86 = -3*u, -2*t = 5*u - 143. Calculate the remainder when u is divided by 16.
13
Suppose -5*n = 8*n - 104. Calculate the remainder when (1 + 1)/(4/46) is divided by n.
7
Let d(o) = -o**3 - 14*o**2 - o - 6. Let f be d(-14). Let n = f - -16. What is the remainder when n is divided by 13?
11
Let s = 8 - -28. Calculate the remainder when 141 is divided by s.
33
Let s(d) = d**3 - 2*d + 1. Let c be s(-2). What is the remainder when 19 is divided by (9 - (c + 1))/1?
8
Let q(r) = -r**3 + r**2 + 3*r + 4. Calculate the remainder when 18 is divided by q(-2).
8
Let l = 39 + -18. Let s = -9 - -18. Calculate the remainder when l is divided by 33/s*(-9)/(-3).
10
Suppose 38 = 2*u - 4*g, -g + 4 = g. What is the remainder when 43 is divided by u?
20
Calculate the remainder when (-3)/2*(-102)/9 is divided by 9.
8
Suppose -j = -0 - 2. Suppose -5*s + 15 = 5*o, -o - 2*s + 1 = -3. Let h = 6 - o. Calculate the remainder when h is divided by j.
0
Suppose 0 = 5*z - 10*z + 85. Calculate the remainder when 43 is divided by z.
9
Let m = -29 - -44. Calculate the remainder when 59 is divided by m.
14
Suppose -3*i + 4 = -2. Suppose -2*z + 7*z = 5