 the remainder when -9 + (-3 + -4 - -54) is divided by i?
8
Let c(n) = -6*n**2 - 4*n - 6. Let k(q) = -5*q**2 - 3*q - 5. Let p(b) = 2*c(b) - 3*k(b). Calculate the remainder when p(-3) is divided by 15.
12
Suppose 4*x - 4*u - 80 = 0, 2*x = 4*x + u - 46. Calculate the remainder when 84 is divided by x.
18
Let t(f) = f**3 - 18*f**2 - 2*f + 53. Calculate the remainder when 134/6*6/2 is divided by t(18).
16
Let o(m) = 7*m**2 + 3*m + 1. Calculate the remainder when o(3) is divided by 15.
13
Let v = 0 + 2. Suppose 0 = v*d - 2 - 4. Calculate the remainder when 3 is divided by d.
0
Suppose -2*z = -3*z. Suppose z = 3*j + 2*j - 50. Calculate the remainder when j is divided by 6 + -1 - (-1)/1.
4
Suppose 3*b - b = -4. Let k = b + 4. Calculate the remainder when -5*1*8/(-10) is divided by k.
0
Let l(p) = 3*p**2 - 8*p + 17. Calculate the remainder when l(7) is divided by 22.
20
Let z(w) = -5*w**2 + 3*w - 13*w**3 + 14*w**3 - 4 - 1. What is the remainder when 18 is divided by z(5)?
8
Let g(d) = -6*d + 12. Calculate the remainder when g(-10) is divided by 25.
22
Let h(r) = 3*r + 2. Let c = 6 + -1. Calculate the remainder when h(c) is divided by 3/5 + (-168)/(-20).
8
Let z = 50 - 22. Suppose -9*q - 31 = -121. Calculate the remainder when z is divided by q.
8
Suppose -4*x + 33 = 9. Suppose x*q - 3*q = 0. Suppose q = -0*l + l - 10. What is the remainder when 29 is divided by l?
9
Suppose 7 = -2*g + 47. Let x = -3 + g. Calculate the remainder when 49 is divided by x.
15
Suppose -9*f + 11 = -25. Calculate the remainder when 13 is divided by f.
1
Let g = -9 + -7. What is the remainder when 36/(-1)*12/g is divided by 15?
12
Calculate the remainder when 56 is divided by (-47)/(-4) + 9/36.
8
Let l(s) = -s + 9. What is the remainder when 16 is divided by l(0)?
7
Let c(i) = i**2 + 3*i - 2. Let b be c(-4). Let u = 2 + b. Suppose -y + 23 = -4*k, 4*k = -13 - 3. What is the remainder when y is divided by u?
3
Let j = -10 - -17. Let s = 914 - 881. Calculate the remainder when s is divided by j.
5
Suppose 5*v - 11 - 24 = 0. Calculate the remainder when 11 is divided by v.
4
Let n = 4 + -5. Calculate the remainder when 28 + n + (0 - 1) is divided by 9.
8
Let y(g) = g**3 + 12*g**2 + 10*g. Let l be (-514)/(-3) + 4/6. Suppose -5*v - 12 = -l. What is the remainder when v is divided by y(-11)?
10
Let n(m) be the second derivative of 3*m**3 + 2*m**2 - 2*m. What is the remainder when n(3) is divided by 20?
18
Suppose -5*i = 16 - 71. What is the remainder when i is divided by 4?
3
Let r(a) = -a**3 + 3*a**2 - 1. Let k be r(3). Calculate the remainder when 7 - -2*k/2 is divided by 4.
2
Let t(r) = 3*r**2 - 28*r + 13. Let z = -15 - -25. What is the remainder when z is divided by t(9)?
2
Let d(y) = y**2 - 7*y - 7. Let w be d(8). Let x be w/((4/(-106))/(-2)). Let l = x - 37. Calculate the remainder when 47 is divided by l.
15
Suppose -12 - 8 = -5*v. Suppose -3*z = 2*n + 31, -n = -z - 13 - v. Let r = -3 - z. What is the remainder when 28 is divided by r?
8
Let j = 13 + -7. What is the remainder when 18 is divided by j?
0
Let f be 5*-2*3/(-15). Calculate the remainder when 9 is divided by -3 + 5 - (f + -5).
4
Suppose 0*i + 2*i - 2*a = 286, 405 = 3*i + 5*a. What is the remainder when i is divided by 47?
46
Suppose 27*b - 23*b = -4. Calculate the remainder when ((-21)/6)/(b/2) is divided by 2 - 1 - (-5 + 1).
2
Suppose 8*o = 4*o - 72. Let j(n) = -n**3 - 18*n**2 + 7. Calculate the remainder when j(o) is divided by 5.
2
Let y(i) = -i**2 - 6*i - 2. Let c be y(-6). Calculate the remainder when (64 + (1 - 3))/2 is divided by (12 - -2) + 0 - c.
15
Let p = 2 - -20. Suppose -p - 44 = 3*c. What is the remainder when (-1)/((4/c)/2) is divided by 4?
3
Suppose 2*i - 13 = -3*v, 13 = i - v - 6. Let a = i + -10. What is the remainder when 10 is divided by a?
2
Let n(p) = p**2 + 3*p - 6. Let s be n(-5). Suppose -s*q + q + 195 = 0. Suppose 2*w - 7*w = -85. What is the remainder when q is divided by w?
14
Suppose 5*u - 18 - 12 = 0. Suppose 5*z + 4*i = 117, 4 = -5*i + 19. Let s = 43 - z. What is the remainder when s is divided by u?
4
Let d(r) = -2*r. Let o be d(-2). Suppose 26 = f - 5*z, 2*f - 3*z + 7*z + o = 0. Calculate the remainder when 17 is divided by f.
5
Let p(d) = -2*d - 3. Calculate the remainder when 12 is divided by p(-5).
5
Let t be -1 + 1/(3/9). What is the remainder when ((-3)/(3/(-28)))/t is divided by 8?
6
Suppose 17 - 128 = -f. What is the remainder when f is divided by 38?
35
Let w be 420/18 + 2/3. Let q(t) = t - 2. Let v be q(5). Suppose -w = -v*h + h. What is the remainder when 22 is divided by h?
10
Let k(d) = -d + 1. Let w be k(5). Let c be (10 + w + 3)*12. Suppose 0*z - 3*z = -c. What is the remainder when z is divided by 13?
10
What is the remainder when (-22)/(-55) - (-369)/15 is divided by 13?
12
Suppose -2*z - 3*h - 16 = 0, h = 2*z + 6*h + 24. What is the remainder when 10 is divided by (4/z)/(2/(-6))?
4
Suppose -2*k - 4 = -0*k. Suppose 0*n - 5*n = -40. What is the remainder when n is divided by (-2)/(-4)*(8 + k)?
2
Suppose 3*m - 4*k + 3 = -k, 5*m + 3*k - 19 = 0. Let d(p) = 6*p**2 + 4*p - 3*p**2 - 4*p**2 - 3 + 2*p**3. Calculate the remainder when 65 is divided by d(m).
14
Let m = 32 - 11. What is the remainder when m is divided by 1*-3 + 2 - -12?
10
Calculate the remainder when (16 - -15) + (1 - 0) is divided by 17.
15
Suppose o + 5*z = 17, -4*o + 13 = 3*z - 72. Calculate the remainder when 131 is divided by o.
21
Suppose 5*v = -4*d + 157, -d + 112 - 15 = 3*v. Calculate the remainder when v is divided by 7.
5
Let x(f) be the first derivative of -7*f**2 + 4*f**2 + 0 - 2 - 5*f**2. Calculate the remainder when 61 is divided by x(-1).
13
Let z = -41 - -90. Calculate the remainder when z is divided by 18.
13
Let h(m) = m**3 + 15*m**2 - m + 1. What is the remainder when 62 is divided by h(-15)?
14
Suppose 0*s + k - 1 = -s, s + 2 = 2*k. Suppose 4*n + 4 = 2*y + 3*n, s = -y + 2*n - 1. Suppose y*h = -2*h + 290. What is the remainder when h is divided by 20?
18
Let d(s) be the second derivative of -s**4/12 + 2*s**3/3 + s**2 + 3*s. What is the remainder when 7 is divided by d(4)?
1
Suppose 0 = -5*s - 10, -m + 11 = s - 21. Suppose 14 + m = 3*d. What is the remainder when d is divided by 9?
7
Let m = -179 + 202. Calculate the remainder when m is divided by 12.
11
Let h(f) = 3*f + 10. Let a(b) = 2*b + 9. Let j(i) = -6*a(i) + 5*h(i). Calculate the remainder when j(5) is divided by 4.
3
Let p = -56 + 90. Suppose 3*u = 17 + p. Calculate the remainder when u is divided by 5.
2
Suppose 2081 = 3*v + 665. Let o be (3 - 2)/((-1)/(-3)). What is the remainder when 2/o + v/12 is divided by 21?
19
Let x be (-1048)/(-6) - (-12)/36. Suppose 0 = -2*v + x - 35. Calculate the remainder when v is divided by 18.
16
Suppose 5*z = 18 - 83. Let o = -8 - z. Suppose 0 = -2*m + 3*a - 4*a + 37, -o*m = 2*a - 91. Calculate the remainder when m is divided by 6.
5
Let c(w) = 7*w + 18. Calculate the remainder when c(10) is divided by 18.
16
Suppose 3*m - 6*m + 12 = 0. Calculate the remainder when 30 is divided by m.
2
Let m = 15 + -10. Let v be (14/m)/(3/15). Calculate the remainder when 25 is divided by (v/6)/((-4)/(-24)).
11
Suppose -8*u = -u - 420. What is the remainder when u is divided by 9?
6
Let l = 61 + -37. What is the remainder when (7 - -39)*9/6 is divided by l?
21
Let a = 1 + 1. Suppose a*l + z = 2*z + 125, -182 = -3*l - 4*z. Suppose 0*h = 2*h - u - l, -u = 2*h - 62. Calculate the remainder when h is divided by 11.
9
Suppose -11*w - 150 = -14*w. What is the remainder when w is divided by 26?
24
Suppose 2*u + 130 = 2*g, -112 - 91 = 3*u - 5*g. What is the remainder when (-7)/21 + 1 + (-138)/(-9) is divided by (-2)/(-7) + u/(-7)?
7
Let x(l) = l**3 - 3*l**2 + 3*l + 4. Suppose -338 = -4*f + 74. Suppose -28 = 3*v - f. What is the remainder when v is divided by x(3)?
12
Suppose -d - 3*i = -27, 5*i = 5*d + 9*i - 102. What is the remainder when 48 is divided by d?
12
Let b(j) = -12*j + 21. Let t be b(4). Let q(r) = -r + 39. Let w be q(0). Let i = t + w. What is the remainder when 35 is divided by i?
11
Suppose -7*b + 99 = -4*b. Calculate the remainder when 195 is divided by b.
30
Let t = 4 + 3. Suppose 16 = p - t. Calculate the remainder when p is divided by 12.
11
Calculate the remainder when (36/(-8) - -2)*(-14 + -2) is div