2 + 2). What is the remainder when 19 is divided by q + 2 - (-16 + 7)?
9
Suppose -i - 75 = 4*i. Let z be 1/(-3) - (-265)/i. Let l = 35 + z. Calculate the remainder when 32 is divided by l.
15
Let h = 9 + -13. Let m = 3 - h. Calculate the remainder when 12 is divided by m.
5
Suppose 4*l = -6*g + g + 212, -2*g + 104 = 2*l. What is the remainder when l is divided by 10?
8
What is the remainder when (-12)/(-9) - 1434/(-18) is divided by 21?
18
Suppose -2*l - 3*l + 50 = 2*c, 18 = l + 2*c. Let f be (5 - 1)/(0 - -1). Let v(a) = a**2 + a + 2. Calculate the remainder when v(f) is divided by l.
6
Let u(j) = j**3 + 6*j**2 - 6*j + 4. Let b be u(-7). Let f be (1 - 3/b)*2. Suppose -f*p = -g - 4, g = 3*g. What is the remainder when p is divided by 1?
0
Let f(t) = -t**3 + 10*t**2 - 10*t + 8. Calculate the remainder when f(6) is divided by 19.
16
Let w be (0 - (-3 - -3)) + 1. Calculate the remainder when ((-369)/(-27))/(w/3) is divided by ((-9)/(-6))/((-2)/(-28)).
20
Let s = 6 - 6. Suppose -245 = -3*y + 5*v, y + 3*v - 90 - 15 = s. What is the remainder when y is divided by 23?
21
Suppose o + 2*o = -6, -2*m + 12 = -o. What is the remainder when 17 is divided by 3*(0 + -2 + m)?
8
Let l = 13 - 5. Suppose -5*t + 57 = -l. Let r = -10 + 17. What is the remainder when t is divided by r?
6
Suppose -4*l + 5*d + 20 - 3 = 0, -l + 4 = -d. Suppose l*o - 18 = -3*c + 2*o, 22 = 2*c + 4*o. Calculate the remainder when 8 is divided by c.
3
Let d = 8 - 13. Calculate the remainder when 28 is divided by (d/3)/((-6)/54).
13
Let s = -8 + 18. Let q(w) = -w**3 + 11*w**2 - 9*w + 9. Suppose -c - 2*n = -3*c + 104, 0 = -4*c - 2*n + 226. Calculate the remainder when c is divided by q(s).
17
Let m = -18 + 43. Suppose 2*q + q + 5*k = m, 0 = 2*q - 3*k + 15. Suppose q*b + 2*b = -w + 12, 2*w - 9 = b. What is the remainder when 11 is divided by w?
5
Let q(o) = 2*o**2 + 4*o - 2. Suppose -4*f = 5*k + 46, 7*f = 2*k + 3*f - 4. What is the remainder when q(k) is divided by 16?
14
Let l = -59 + 66. Calculate the remainder when 23 is divided by l.
2
Suppose -2*v - 156 = -6*v. Suppose 5*d - 7 = -4*s + 77, -2*s + 52 = 3*d. Calculate the remainder when v is divided by d.
19
Let a = 117 + -89. Calculate the remainder when a is divided by 8.
4
Let s = -5 - -24. Let y = 3 - -7. What is the remainder when s is divided by y?
9
Suppose 4*h + h = 0. Suppose 2*a - a = -c + 10, h = 5*c + 4*a - 55. Suppose -2*p - 3*q + 76 = 2*q, q - 84 = -2*p. What is the remainder when p is divided by c?
13
Let m(a) = -a**3 - 12*a**2 - a - 7. Let k be m(-12). Suppose x - 6*s + s = 24, -5 = k*s. What is the remainder when 56 is divided by x?
18
Suppose 2*h - 3*h = 0. Suppose -t + 6*t - 30 = h. What is the remainder when 22 is divided by t?
4
Let k(y) = y**3 - 202. Let v be k(0). What is the remainder when ((-60)/(-14))/(9/42) is divided by (-2)/9 + v/(-18)?
9
Let r = 8 - 5. Let c = 0 + r. Suppose z + 2*z - c*a - 12 = 0, 3*a = -z + 8. Calculate the remainder when 13 is divided by z.
3
Let a = 29 + 58. Calculate the remainder when a is divided by 11.
10
Suppose -83 = -19*n + 886. Let y = -12 + 26. What is the remainder when n is divided by y?
9
Let z = -40 + 96. Suppose z + 80 = 2*o. Suppose 7*k - o = 3*k. What is the remainder when 32 is divided by k?
15
Let r be 4/16 - 22/(-8). Suppose -2*b - r*z + 43 = 0, 5*z - 30 = -2*b + 19. Suppose 2*d - b = d. What is the remainder when d is divided by 10?
7
Suppose -38 = 2*j - 3*j. Calculate the remainder when j is divided by 10.
8
Calculate the remainder when 36 is divided by (2*-5)/((-18)/(45/5)).
1
Suppose -3*l - 5*s = -217 - 203, 414 = 3*l + 3*s. Suppose 0 = -4*n - 4, -6*n + n + l = 4*v. Let u = 20 - 8. What is the remainder when v is divided by u?
11
Let o = 50 - 27. Let t be (-6)/(-4)*6/9. Suppose t = -a + 13. What is the remainder when o is divided by a?
11
Let u = -13 + 27. Suppose 39 = k - 1. Calculate the remainder when k is divided by u.
12
Let y(g) = -g**2 + 6*g + 35. Let a(u) = 4*u**2 - 3*u. What is the remainder when y(8) is divided by a(2)?
9
Let h(p) = p**2 - 2*p + 2. What is the remainder when 15 is divided by h(3)?
0
Let f(n) = 0*n + n + 3 - 4*n + 2*n. Let j = 38 - 15. What is the remainder when j is divided by f(-5)?
7
Suppose 3*h + 3*h = 114. What is the remainder when 74 is divided by h?
17
Let v(h) = -5*h - 104. Suppose -4*f = 4*n - 176, -3*n - 54 = -2*f + 29. What is the remainder when f is divided by v(-23)?
10
Suppose -5*z + 7*z - 62 = 0. Calculate the remainder when z is divided by 11.
9
Suppose 2*v - 38 = -q, -q = -2*v + 21 + 9. Suppose 0 = 3*a - 39 + 12. Calculate the remainder when v is divided by a.
8
Let h = 4 - -3. Let s(j) = -h*j**2 + 0*j**2 + 8*j + 2 + j**3 - j**2. Calculate the remainder when 26 is divided by s(7).
8
Let q = -52 - -84. Suppose 3*l + q = 5*l. What is the remainder when l is divided by 9?
7
What is the remainder when 35 is divided by 34/28*10 - 5/35?
11
Let r be (-3)/2*40/(-12). Suppose -2*n = 3*n + v - 9, 3*n = -v + r. What is the remainder when 3 is divided by n?
1
Suppose 2*f - 4*g - 46 = 0, 2*g = -2*g - 16. What is the remainder when 70 is divided by f?
10
Let k(o) = 3*o - 7 - 4*o + 0. Let c be k(-6). Let y = 3 + c. What is the remainder when 4 is divided by y?
0
Let z = 1 + 20. Calculate the remainder when 79 is divided by z.
16
Calculate the remainder when (21/(-84))/((-2)/72) is divided by 3.
0
Suppose -4*r = 2*z - 106, -5*r + 2*r = 4*z - 92. Let f = r + -6. Let b(h) = -9*h + 1. Calculate the remainder when f is divided by b(-1).
8
Suppose 0 = y - 19 - 19. Calculate the remainder when y is divided by (-1 - (-4)/(-6))/(9/(-54)).
8
Suppose -4*d = -3*j + d - 19, 5*j + 4*d + 81 = 0. Let x = j + 23. Let y(p) = p**3 + 5*p**2 - 2*p - 4. Calculate the remainder when x is divided by y(-5).
4
Suppose -3*c - y = -16 - 166, -2*c + 138 = 4*y. What is the remainder when c is divided by 13?
7
Suppose 3*f - 5*q - 14 = 0, 5*q = -f - f + 26. Suppose -2*w + 5*y = -f - 5, -5*y + 5 = 0. Calculate the remainder when w is divided by 6.
3
Suppose 43 = m + 4*z + 1, 4*m - 5*z - 84 = 0. What is the remainder when 49 is divided by m?
23
Let u = 2 + 4. What is the remainder when 22 is divided by u?
4
Let a = -258 + 363. Suppose 25 = -4*j + a. Calculate the remainder when 57 is divided by j.
17
Suppose -n = 3*s, -3*n + 3*s - 7*s = -15. Suppose -5*f - 3*t - 5 + 20 = 0, -4*f - 4*t = -12. What is the remainder when n is divided by f?
0
Suppose -4*d = -2*a - 154, -5*d + 218 - 28 = -5*a. Calculate the remainder when 426 is divided by d.
36
Let k(n) = n**3 + 7*n**2 + 5*n + 4. Let a(w) = 6*w + 7*w**2 - 2*w**2 + 0*w - 3*w**2 + 6. What is the remainder when k(-3) is divided by a(-4)?
11
Suppose -n - 3*i = -61, -n - n + 116 = 4*i. What is the remainder when n is divided by 18?
16
Let i(b) be the first derivative of -b**3/3 + 13*b**2/2 - 10*b + 2. What is the remainder when 4 is divided by i(12)?
0
Suppose 0 = -5*s + 4*n + 76, 4*n + 0*n = -4*s + 32. What is the remainder when 21 is divided by s?
9
Let p(d) = -5*d + 4. Let n(i) = 11*i - 8. Let c(x) = -2*n(x) - 5*p(x). Calculate the remainder when c(12) is divided by 11.
10
Suppose -r - 6 + 1 = 0, -5*y - 4*r - 30 = 0. Suppose 0 = -s, 3*s + 12 = 2*m - 0*m. What is the remainder when y/(-8) - (-201)/12 is divided by m?
5
Suppose 98 = 5*n - 72. What is the remainder when 99 is divided by n?
31
Calculate the remainder when (0 + -20)*-2*1 is divided by 21.
19
Suppose 2*j - 17 = 9. Calculate the remainder when 38 is divided by j.
12
Suppose 2*j + j + 2 = o, o - 6 = j. What is the remainder when 20 is divided by o?
4
Let c = 1 - 3. Let w(m) = m**3 + 2*m**2 + 2. Let t be w(c). Suppose 0 = t*y + y - 105. What is the remainder when y is divided by 12?
11
Calculate the remainder when 1*(-3)/(-6)*30 is divided by 8.
7
Calculate the remainder when 96 is divided by (4/(-6))/((-5)/105).
12
What is the remainder when -2 - 1 - (-4 - 116) is divided by 30?
27
Let y(w) = w**3 - w**2 - 4*w - 4. What is the remainder when y(4) is divided by 10?
8
Let c(k) = -k**3 + 8*k**2 - 6*k - 4. What is the remainder when c(7) is divided by ((-36)/45)/((-2)/5)?
1
Let u = -18 - -36. Calculate the remainder when 53 is divided by u.
17
Suppose -4*w - 13 = -45. Calculate the remainder when 21 is divided by w.
5
Let a(z) = 3*z**3 - 2*z**2 + 3*z - 3. Let x(v) = 4