ppose 2*p - p = -3*q + 29, q + p = 7. Calculate the remainder when q is divided by t.
5
Suppose -11 = -5*i + 4. Let c(z) = z**2 - 9*z - 14. Let d be c(10). Calculate the remainder when 26/4 - (-6)/d is divided by i.
2
Suppose q = -3*t + 3, q + 4*q - 4*t - 91 = 0. Let j = 33 - 4. What is the remainder when j is divided by q?
14
Let h(m) = -m**3 + 6*m**2 + 9*m - 9. Let v be h(7). Calculate the remainder when 31 is divided by (v - 0)*32/10.
15
Let k(i) = -i**3 + 4*i**2 + 2*i + 2. Suppose -t = 4*r - 21, -5*r + 30 = -6*t + 8*t. What is the remainder when 38 is divided by k(r)?
8
Suppose 2*s = -k + 26, 2*k = 4*k + 5*s - 54. What is the remainder when (-43)/(((-2)/1)/2) is divided by k?
21
Let f = -12 + 17. Let y = -110 - -137. Suppose f*c - 2*c = y. Calculate the remainder when 26 is divided by c.
8
Suppose -3*z = -z - g + 5, -2*z = -5*g + 25. Suppose z = 4*x - 9*x + 80. What is the remainder when -138*(-3)/(8 + 1) is divided by x?
14
Suppose 0 = -0*z + 4*z - 28. Let u be 7/2*(-4 - -6). What is the remainder when ((-14)/4)/u*-22 is divided by z?
4
What is the remainder when 25 + (4 - (-8)/(-2)) is divided by 9?
7
Suppose 0 = -2*f + 6 + 2. Suppose p = 2*p + f*g - 23, -5*p - 2*g = -61. Suppose -2*y = -l - 1 + 7, y + 17 = 4*l. What is the remainder when p is divided by l?
3
Let i(z) = 4*z**2 - 2*z. Suppose 5*d = 5*r + 10, 4*r + 13 - 3 = 5*d. What is the remainder when 33 is divided by i(d)?
9
Suppose 5*a - 5*u - 40 = 0, -4*a + 2*u = -0*a - 38. Suppose -3*d - 20 = -2*g, 0 = 4*g - 5*g - 2*d + 3. Calculate the remainder when a is divided by g.
4
Let f(l) = -l**2 - 8*l - 3. Let z be f(-7). Suppose 205 = a + z*a. Calculate the remainder when a is divided by 24/9*(-84)/(-16).
13
Let z = 15 + -13. Calculate the remainder when ((-9)/z)/3*-34 is divided by 18.
15
Let v be (8/6)/(-2)*21. Let n = v - -44. Calculate the remainder when n is divided by 11.
8
Let x = 6 + -8. Let g be (-6 + 3 - -4) + x. What is the remainder when (g - (-9)/6)*38 is divided by 7?
5
Suppose 0*j = j - 78. Let s be 64/(-10) - (-14)/35. What is the remainder when j/18 - (-2)/s is divided by 2?
0
Suppose 3*d = 2*r + 3*r, 0 = 2*d - 10. What is the remainder when 11 + 1 + 2/(-2) is divided by r?
2
Suppose -2 + 32 = 2*b. What is the remainder when b is divided by 4?
3
Suppose 175 = -7*k + 714. Calculate the remainder when k is divided by 6.
5
Let p = -15 + 30. Calculate the remainder when 44 is divided by p.
14
Let m(h) = -3*h - 2*h + 8*h. Let r be (-23)/(-7) + (-2)/7. Calculate the remainder when 16 is divided by m(r).
7
Let n be 10/6 + (-1)/(-3). Suppose 2*u + 3*u + 4*j - 66 = 0, -n*u + 2*j + 12 = 0. Calculate the remainder when 29 is divided by u.
9
Let l = -29 + 51. Let a = 13 - l. Let m = a - -14. What is the remainder when m is divided by 2?
1
Let n = -111 + 136. Calculate the remainder when n is divided by 8.
1
Let c be (-3)/(-1 - 0) - -1. Suppose c*r - 56 = 3*d - 4*d, 2*d + 2*r = 88. Calculate the remainder when d is divided by (-1)/(-4) - (-110)/8.
12
Let h = 9 - 7. Suppose -5*m + h*o = -1 - 84, -13 = -2*m + 5*o. Calculate the remainder when 74 is divided by m.
17
Let j(p) = 2*p + 3. Calculate the remainder when j(4) is divided by 1 + (-5)/((-15)/9).
3
Let s = 5 - -4. Calculate the remainder when 23 is divided by s.
5
Suppose -5*o = -2*a + 8, -3 = a + 2*a. Let x = o + 19. Calculate the remainder when 32 is divided by x.
15
Let r = -1 - -3. Suppose r*p - 55 = -3*p. Suppose 18 = 2*u - 24. Calculate the remainder when u is divided by p.
10
Let n(l) = 9*l**2 - 7*l + 14. What is the remainder when n(3) is divided by 6?
2
Let z(l) = l + 2. Let h be z(-2). Suppose h = -a + 2*d + 1 + 1, -2*a = d - 14. What is the remainder when 16 is divided by a?
4
Suppose 5*g = 7*g - 38. Suppose t + 7 = -2*r + g, 0 = t - 4*r - 30. What is the remainder when 34 is divided by t?
16
Let b(t) = t**3 + 10*t**2 + 7*t - 1. Suppose -5*r = g - 4, g - 5*g - 18 = 3*r. What is the remainder when b(g) is divided by 34?
33
Suppose -4*a = -8*a + 2*p + 68, 3*a - 57 = 3*p. What is the remainder when 44 is divided by a?
14
Let l be ((-42)/(-4))/(3/(-4)). Let a = l + 29. Suppose -3*d = -5*m - 107, -2*d + 3*d + m = 25. What is the remainder when d is divided by a?
14
Suppose 0 = -4*z - 5*x - 4 - 1, 3*x = 2*z - 25. Suppose 68 - z = 3*p + 3*u, u = -1. Calculate the remainder when 42 is divided by p.
20
Let v(f) = 6*f**2 - f - 5 + f**3 + 0 + 2 + 0. Calculate the remainder when 6 is divided by v(-6).
0
Suppose -78 = -7*n + 153. Calculate the remainder when 62 is divided by n.
29
Suppose -22 = -5*t + 3. Let n = -6 + 9. Suppose -n*a + 4 = -a. Calculate the remainder when t is divided by a.
1
Suppose 4*w + 44 = 2*i, -86 = -4*i - i + 4*w. What is the remainder when 111 is divided by i?
13
Calculate the remainder when 60 is divided by 10/35 + (-290)/(-14).
18
Suppose -280 + 62 = -2*i + 2*l, -431 = -4*i + 3*l. Calculate the remainder when i is divided by 27.
23
Let u(r) = -r**3 + 5*r**2 - 2*r - 5. Let j be u(4). Suppose -3 = -2*t + j. Calculate the remainder when (7 - 1)/3*2 is divided by t.
1
Suppose 1 = f - 0*f - 3*q, -q + 5 = -f. Let y = f + 4. Let r = 14 - y. What is the remainder when 53 is divided by r?
17
Suppose -o - 81 = -5*r, 5*o - 18 = -3*r + 25. Calculate the remainder when 44 is divided by r.
12
Let k(i) = 2*i**2 + 16*i - 6. Calculate the remainder when k(-10) is divided by 13.
8
Let h(a) = 3*a**2 + 9*a - 7. Let f = -13 + 29. Calculate the remainder when h(-6) is divided by f.
15
Let f(v) = v**2 + 13*v + 18. What is the remainder when 19 is divided by f(-12)?
1
Suppose -2*g - 18 = -5*g. Let r = 5 - 1. Calculate the remainder when g is divided by r.
2
Let p = -7 + 17. What is the remainder when 37 is divided by p?
7
Let l(j) = 3*j - 16. What is the remainder when 35 is divided by l(12)?
15
Suppose 4*x - 3*i - 3 = 132, 5*i - 159 = -4*x. What is the remainder when 178 is divided by x?
34
Let t be 12 - (-2)/(1 + 0). Suppose 0 = -2*p - f + t, p - 4*f + 1 = -1. Suppose -34 = -2*y + p. Calculate the remainder when 58 is divided by y.
18
Suppose -j = 3*c + 4, -3*c - 2 = 4. What is the remainder when j is divided by 1?
0
Suppose v + 2*m = 23, -m = 2*v - 46 - 0. Suppose -4*i - 32 = -2*j, -3*j + 11 + 9 = i. Calculate the remainder when v is divided by j.
7
Let m = -6 + -6. Let s = 30 + m. What is the remainder when s is divided by 7?
4
Let x(d) = -d**2 + 8*d - 7. What is the remainder when 13 is divided by x(6)?
3
Suppose 3*a - 2*w - 24 = -3*w, -4*w - 39 = -3*a. Calculate the remainder when 25 is divided by a.
7
Let j(m) = m**2 - 5*m - 8. Calculate the remainder when 53 is divided by j(-4).
25
Suppose 0 = -p - 15 + 30. Calculate the remainder when 40 is divided by p.
10
Let i(k) = -k**3 - 2*k**2 - k + 11. Calculate the remainder when 41 is divided by i(0).
8
Suppose -3*p = -4*f - 8, -f + 0*f + p - 3 = 0. Let c(m) = 13*m. What is the remainder when 51 is divided by c(f)?
12
Let m = -2 - 0. Let f be 186 - ((1 - m) + -3). Suppose w + f + 53 = 4*v, -3*v - 4*w = -203. What is the remainder when v is divided by 21?
19
Let n be (-1)/((-1)/6*-3). Let g = n + 9. Let j = 1 + g. What is the remainder when j is divided by 5?
3
Suppose 2*v - 26 - 4 = 0. Let a(z) = 2*z**2 - 4*z**3 + z**3 + 3*z + 2 - 2*z**3. Calculate the remainder when a(-2) is divided by v.
14
Let f = 2 + -1. Let w = -10 - -13. Calculate the remainder when w is divided by f.
0
Suppose -3*z + 24 = -2*z. What is the remainder when z is divided by 7?
3
Let d(k) = -8*k - 1. Calculate the remainder when 59 is divided by d(-2).
14
Suppose -203 = -2*l - 55. Calculate the remainder when l is divided by 20.
14
Let j = -14 - 7. Let x = j + 48. Calculate the remainder when x is divided by 14.
13
Let g(r) = -2*r - 8. Calculate the remainder when g(-12) is divided by 5.
1
Let f(v) = -v. Suppose h + t - 4*t = 9, 3*t = -h - 3. Let r = 5 + h. What is the remainder when r is divided by f(-5)?
3
Calculate the remainder when (-2)/(-1) + 12 + 147 is divided by 41.
38
Suppose 0 = 5*s + 1 - 76. What is the remainder when s is divided by 8?
7
Let f(v) = -62*v + 5. What is the remainder when f(-2) is divided by 44?
41
Suppose 9*l = 5*l - 44. Let g = 14 + l. What is the remainder when 6 is divided by g?
0
Let d(g) = -g**2 + 8*g + 25. What is the remainder when 97 is divided by d(8)?
22
Suppose 0 = 2*