g + 15 = 0. Let y(v) = -v**2 + 4*v + 2. Let k(a) = a**2 - 3*a - 1. Let z(p) = 2*k(p) + 3*y(p). Calculate the remainder when 26 is divided by z(g).
8
Suppose -2*f - 32 = -s, 2*s - 47 - 12 = 3*f. Suppose -k - 58 = -5*v, 0*k = 3*v + 5*k - 46. Calculate the remainder when s is divided by v.
10
Suppose -5*r - 5*z = -5, 0 = -2*r + 5*r + 5*z + 5. Let h be (4/(-10))/(1/(-5)). Suppose h*d = -2*d + 56. What is the remainder when d is divided by r?
4
Suppose 3*a - 2*i = 116, 4*a - a = -3*i + 141. What is the remainder when a is divided by 23?
19
Suppose -3*p + 5*x = -15, -2*p = 2*x + 5 + 1. Suppose -4*d - k + 16 = 3*k, 3*k + 3 = p. What is the remainder when 11 is divided by d?
1
Let m(g) = g**3 + 11*g**2 - 14*g + 9. Let l = -33 - -21. Calculate the remainder when m(l) is divided by 9.
6
Suppose -2*h = -0*h + 3*g - 50, h + 5*g - 11 = 0. Let c = -1037 - -1048. What is the remainder when h is divided by c?
9
Suppose -2*j + 2 = 0, -4*y - 3*j + 152 = j. Calculate the remainder when y is divided by 13.
11
Let d be (-10)/(-3) + (-6)/18. Let a = 3 - 1. Suppose -d*b + 4*l = -26, a*b = 6*b - 4*l - 36. Calculate the remainder when 29 is divided by b.
9
Let t = -8 + 24. Calculate the remainder when 76/t - 1/(-4) is divided by 3.
2
Let m(f) = 2*f**3 - 8 + f - 2*f**3 - f**3 + 11*f**2. Calculate the remainder when 11 is divided by m(11).
2
Suppose x - 8 + 3 = 0. Let c = x + 20. What is the remainder when 48 is divided by c?
23
Suppose m + 8 = 2*a - a, -5*a + 2*m + 40 = 0. What is the remainder when a is divided by -1*(5 + 0)*-1?
3
Let g(d) = 4*d**2 + 4*d - 2. Calculate the remainder when 84 is divided by g(2).
18
Let z(k) = 5*k**3 + 2*k - 2. Let q = -4 - -19. Calculate the remainder when z(2) is divided by q.
12
Suppose 2*n - 16 - 54 = 0. What is the remainder when 69 is divided by n?
34
Suppose 2*p - 240 = -5*l, 0 = -l + 5 - 3. What is the remainder when p is divided by 39?
37
Let m = -2 + 4. Let k = 4 - m. Suppose k*w = 3*h - 26, 6*h - 12 = 4*h + 4*w. What is the remainder when h is divided by 4?
2
Let i = 0 - 0. Suppose y = 2*a - i*a + 123, 680 = 5*y + 3*a. What is the remainder when y is divided by 34?
31
Let x be (6/8 - 1)*-116. Let j = x - 16. What is the remainder when 37 is divided by j?
11
Let c = 15 + 39. What is the remainder when c is divided by 14?
12
Suppose 1 + 0 = w. Suppose -2*o + 4*c - 7 = 3, -c = 3*o + w. What is the remainder when (-3 - -1) + (o - -16) is divided by 7?
6
Suppose 5*b + 4 = 19. Let f = b + -1. Suppose a - 39 = -f*a. Calculate the remainder when 51 is divided by a.
12
Let d(i) = -i**3 - i**2 + 1. Let f(a) = -2*a**3 + a**2 + a - 3. Let k(b) = 3*d(b) - f(b). What is the remainder when 19 is divided by k(-4)?
9
What is the remainder when 78 is divided by -1 + (44 + -1 - 1)?
37
Let r be -1 + 41 + (0 - 0). Let j = -29 + r. What is the remainder when 20 - (1 + 0) - -1 is divided by j?
9
Let m(j) = j**3 + 7*j**2 + 4*j. Calculate the remainder when 237 is divided by m(-5).
27
Let a be -1 - 2 - (1 - -4). Let i(w) = -w - 8. Let s be i(a). Suppose s = -4*h - 46 + 122. Calculate the remainder when 56 is divided by h.
18
Let d(k) = -k**3 - 7*k**2 - k + 10. Calculate the remainder when d(-7) is divided by 10.
7
Let f = 61 + -33. Let k(t) = 3*t**3 - 2*t**2 - 1. Let y(b) = -2*b. Let w be y(-1). Calculate the remainder when f is divided by k(w).
13
Suppose l + 325 = 6*l. Suppose 0*y = 5*y - l. What is the remainder when y is divided by 9*1 + -1 + -1?
6
Suppose 0*b - 270 = -3*b. Suppose a = -g + 21, 3*g - 2*a + 6*a - 61 = 0. What is the remainder when b is divided by g?
21
Let p(s) = -11*s - 3. What is the remainder when 93 is divided by p(-2)?
17
What is the remainder when (-2)/10 + (-4 - 723/(-15)) is divided by 23?
21
Let m = -15 + 17. What is the remainder when 3 is divided by m?
1
Suppose -2*t + 192 = t. Calculate the remainder when (-3)/2*t/(-6) is divided by 9.
7
Let z(r) = -4*r - 2. Let t be z(-2). What is the remainder when 124/t - 2/3 is divided by 11?
9
Let x be ((-69)/(-6))/(1/(-4)). Let a = x - -33. Let p = 24 + a. Calculate the remainder when p is divided by 3.
2
Suppose 2*f = 5*v + 15, 0*v = -4*f - v + 19. Calculate the remainder when 18 is divided by f.
3
Let n(r) = r**2 - r + 2. Let k be n(2). Suppose 0 = -k*t + 102 - 34. Calculate the remainder when 33 is divided by t.
16
Let g = -58 + 78. Calculate the remainder when 56 is divided by g.
16
Calculate the remainder when 27*(-3)/((-36)/28) is divided by 11.
8
Let p(u) = -u**3 - 2*u**2 - u - 2. Suppose -10*g + 71 = -89. Calculate the remainder when g is divided by p(-3).
6
Let g(d) = 2*d + 14. Let y(a) = a + 13. Let r(m) = -3*g(m) + 4*y(m). Calculate the remainder when 58 is divided by r(-5).
18
Let n(j) = -j**3 - 4*j**2 - 2*j - 3. Let c be n(-4). Let h = c - 4. What is the remainder when 2 is divided by h?
0
Suppose 3*p - 51 = -m, -2*m = -m - 4*p - 30. What is the remainder when m is divided by 11?
9
Suppose 2*s = -0*s + 6. Let p be (1 + (-14)/6)*-3. What is the remainder when 3/(6/4)*p is divided by s?
2
Suppose -6*l + 4*l + 18 = 0. What is the remainder when l is divided by 2?
1
Let s be -7 + 5 - (1 - 6). Suppose s*h = 5*u + 59, -14 = -h - u + 11. What is the remainder when 44 is divided by h?
21
Let y(q) = 3*q + 1 - q + 2. Let p(c) = c**3 + 8*c**2 + 8*c + 10. Let j be p(-7). What is the remainder when y(j) is divided by 5?
4
Suppose 10*j - 2372 = -722. Calculate the remainder when j is divided by 21.
18
Let h = 16 - 10. Suppose a + 4*a = 10. Suppose 0 = x - a*y - 22 - 3, 63 = 3*x - 3*y. What is the remainder when x is divided by h?
5
Let j(r) = -r**3 - 7*r**2 + 5*r - 11. Let p be 30/12 + (-2)/(-4). Let d be 1*p/6*-16. What is the remainder when j(d) is divided by 5?
3
Let w(l) = -4*l**2 + 2*l - 3. Let r be w(3). Let h be 4/22 + (-786)/r. What is the remainder when (-5)/(1 - h/21) is divided by 12?
11
Suppose -4 = -5*z + 1. Suppose 2*g - 5 - 1 = 0. Suppose 3*y + g*b = -12, 0 = -y + b + 5 + 1. Calculate the remainder when y is divided by z.
0
Let r(f) = 2 + f + 2 - 7. Let c(b) = 3*b - 12. Let d(a) = -2*c(a) + 9*r(a). Calculate the remainder when d(5) is divided by 7.
5
Suppose -b + 244 = 3*b. Calculate the remainder when b is divided by 21.
19
Let i(m) = -m - 10. Let t be i(-10). Let q be (t/2)/(-3 - -4). Calculate the remainder when (q - -12) + -1 - 0 is divided by 7.
4
Let k = 11 + -6. Suppose -k*c + 284 = t, 5*c - 3*t + t = 272. Calculate the remainder when c is divided by 19.
18
Let x be 0/(-3) - (-1 - -1). Suppose q = -4*l - 14, -2*q - q - 4*l - 2 = x. Calculate the remainder when 23 is divided by q.
5
Let t(b) = b + 15. Let d be -4*1/4*2. Let c(j) = j**3 + 2*j**2 - j - 1. What is the remainder when t(-14) is divided by c(d)?
0
Let g = 21 + -9. Suppose 3*z + 5*n - 86 = 0, 6*n - n = -4*z + 108. Calculate the remainder when z is divided by g.
10
What is the remainder when 69 + (-4)/(-6)*-3 is divided by 17?
16
Suppose 15 = 5*y, 2*a - y + 15 = 4*y. Suppose i - 21 = -a. Suppose -v = 3*d - 101 + 25, 0 = 4*v - 4*d - 336. What is the remainder when v is divided by i?
19
Suppose -39 = c - 4*c. What is the remainder when 24 is divided by c?
11
Let g(v) = v**2 - 8*v + 12. Calculate the remainder when g(11) is divided by 16.
13
Suppose l - 16 = -3*l. Suppose -39 = -l*b + 57. Calculate the remainder when 94 is divided by b.
22
Let z(o) be the second derivative of 43*o**4/12 + o**3/3 + o**2/2 + 3*o. What is the remainder when z(-1) is divided by 11?
9
Let j be (-3 + 1)/2 - -5. Let h = 12 + j. Calculate the remainder when 46 is divided by h.
14
Let k be 1*(-1)/(1/(-7)). Suppose 0 = -2*h + 21 + k. Suppose -5*g + 11 = -h. What is the remainder when g is divided by 2?
1
Let r(l) = 3*l**3 - 3*l**2 - 4*l + 5. Calculate the remainder when r(3) is divided by 12.
11
Suppose 7*r - 4*r + 4*h = 52, -2*h + 68 = 5*r. Suppose -2 + r = p. What is the remainder when p is divided by 6?
4
Let h = 5 - 3. Let o be (-5 + 5)*1/h. Suppose 0 = p + 4*f - 33, 3*p + o*p + 4*f = 83. What is the remainder when p is divided by 9?
7
Let i be 2/(2 + 16/(-12)). Suppose -4*c + 199 = -t, i*c - 196 = -c + 4*t. What is the remainder when c is divided by 26?
24
Suppose h + 2*h - 5*x - 16 = 0, -3*x - 14 = -4*h. Suppose h*y = y. Let z(b) = b**2 + b + 13. What is the remainder when 24 is divided by z(y)?
11
Let o = 33 - 7. Let q 