ded by 23.
19
Suppose -s - 4 = -2*n + 8, 4*n - 4*s = 24. Let v = -59 - -82. Calculate the remainder when v is divided by n.
5
Let g(m) = -m**3 - 23*m**2 + 25*m + 35. What is the remainder when 29 is divided by g(-24)?
7
Suppose -u - s + 2*s + 217 = 0, 871 = 4*u - 3*s. What is the remainder when u is divided by 37?
35
Let o(a) = -a**3 - a**2 + 3*a + 2. Let m(k) = -4*k - 5. Let s be m(8). Let p = s + 79. What is the remainder when p is divided by o(-3)?
9
Let x be 0 + -2 + -1 - 1. What is the remainder when ((-4)/6)/(x/42) is divided by 4?
3
Let j be 28/(-6)*15/(-10). Let u = j - -10. Calculate the remainder when (196/(-12))/((-1)/3) is divided by u.
15
Suppose -3 - 3 = 2*q. Let s be q/(((-18)/15)/2). Let y(v) = 4*v + 5. What is the remainder when y(s) is divided by 9?
7
Suppose d + k = 0, -d + 3 = -3*k - 17. Suppose -d*q + q = -324. Calculate the remainder when q is divided by 21.
18
Suppose 2*r - 2 = 2. What is the remainder when ((-22)/(-3))/(r/3) is divided by 4?
3
Suppose 0 = 6*g + 5*g - 22. Suppose 0*x + 8 = 4*x. What is the remainder when x is divided by g?
0
Calculate the remainder when 77 is divided by 13/65 - 258/(-10).
25
Suppose 12 = u + 99. Let y be (-2)/6 + u/9. Let p = y + 14. Calculate the remainder when 10 is divided by p.
2
Let b(y) = y**3 - 4*y**2 + 4*y - 5. Calculate the remainder when 32 is divided by b(4).
10
Let i = -110 - -178. What is the remainder when i is divided by 15?
8
Let z = -4 - -6. Let s = 8 + z. What is the remainder when 18 is divided by s?
8
Let h = -5 - -6. Suppose h = 2*r + 3, 4*r = 5*i - 49. Calculate the remainder when 25 is divided by i.
7
Let i(y) = -y**2 + 11*y + 22. What is the remainder when 29 is divided by i(12)?
9
Suppose t + 5 + 8 = -5*j, 0 = 3*t + 3*j + 3. Let k be 4 - 2 - 4/(-2). What is the remainder when t is divided by k/10 - (-8)/5?
0
Suppose 0 = -5*l + 7 + 53. Suppose -2*v + t = -63, -5*v - 3*t = 80 - 265. Calculate the remainder when v is divided by l.
10
Suppose 43 = 2*a - 3*l, 6*l + 41 = 2*a + l. Calculate the remainder when 66 is divided by a.
20
Suppose -b = 2*b - 45. Let a = -4 + b. What is the remainder when a is divided by 7?
4
Suppose -60 = -6*x + x. Suppose 47*k - 1740 = 17*k. What is the remainder when k is divided by x?
10
Let l = -58 + 72. Let x(g) = -g**3 - 2*g**2 - g + 3. Calculate the remainder when x(-4) is divided by l.
11
Let r(y) = -y**2 + 9*y + 23. Let f(d) = d**2 + 3*d + 1. Calculate the remainder when r(10) is divided by f(-4).
3
What is the remainder when (14/(-42))/(1/(-141)) is divided by 16?
15
What is the remainder when 162 is divided by -29*8/(-7) - (-3)/(-21)?
30
Let p(z) be the third derivative of 3*z**4/8 + z**3/6 - z**2. Calculate the remainder when p(4) is divided by 19.
18
Suppose -5*g = 2*x - 347, -2*g + 0*x + 137 = -x. Let m(p) = -p**3 + 7*p**2 - 6*p - 2. Calculate the remainder when g is divided by m(5).
15
Suppose 0 = 3*k - 0*k - 69. Calculate the remainder when k is divided by 6*-1*(-5 - -3).
11
What is the remainder when 99/(-12)*288/(-27) is divided by 18?
16
Suppose 4*d + 4*l - 25 - 11 = 0, 36 = 4*d + 3*l. Calculate the remainder when 29 is divided by d.
2
Suppose 5*n + 0 = -5. Suppose 3*j + 5*w = 25, 0 = 4*j - 5*w - 42 - 3. Calculate the remainder when 224/4*n/(-2) is divided by j.
8
Calculate the remainder when 96 is divided by 5*((-6)/(-27) + 1148/180).
30
Let x(v) = 2*v + v - 4*v. Suppose 4*n = -s - 0*n + 19, -4*s = 3*n - 76. What is the remainder when s is divided by x(-5)?
4
Suppose -2*k - 4*q = -302, -4*k = -0*k + 2*q - 604. What is the remainder when k is divided by 17?
15
Suppose 3*m = 3*p - 0*m - 81, 4*p - 107 = 5*m. What is the remainder when p is divided by 10?
8
Calculate the remainder when 50 is divided by (-3 - -4) + -5 + 8.
2
Let w = 3 + 2. Let f(l) = -l**3 + 9*l**2 - 6*l - 6. Let j be f(w). Calculate the remainder when 23 is divided by (-3)/(-2)*j/12.
7
Suppose -q = q - 4*c, -3*q + 2*c = 0. Suppose 2*k = 3*x + 32, x - 6*x = q. Calculate the remainder when k is divided by 6.
4
Suppose -3*x = -5*x. Suppose -2*v = -x*v - 58. What is the remainder when v is divided by 16?
13
Suppose 0 = -i - 6*g + g - 19, 2*i + g + 38 = 0. Let f = 2 - i. What is the remainder when 62 is divided by f?
20
Suppose k - 19 = -16. Let j = -5 - -1. Let w = -2 - j. Calculate the remainder when k is divided by w.
1
Let v(p) = -p**2 - 15*p + 11. Let k(r) be the third derivative of -r**5/60 + r**4/4 - r**3/2 - r**2. Calculate the remainder when v(-15) is divided by k(3).
5
What is the remainder when (-1*15)/((-10)/50) is divided by 19?
18
Let x(l) = l**3 - 4*l**2 - 3*l + 5. Calculate the remainder when 2/(((-12)/171)/(-2)) is divided by x(5).
12
Let w = 2 + 1. Suppose 3*t + 2*v - 5 = 20, -3*v - 45 = -w*t. What is the remainder when t is divided by 4?
3
Let j = -81 + 122. Calculate the remainder when j is divided by 16.
9
Let r = 27 + 7. What is the remainder when 134 is divided by r?
32
Suppose -4*p = -2*y + 4, -4*y + 3*p + 15 = -y. Suppose y = -0*k + k. Calculate the remainder when k is divided by 5.
3
Let w(t) = -t**2 + 6*t - 1. Suppose -4*c = 13 - 33. What is the remainder when w(c) is divided by 3?
1
Let y = -2 + 3. Let l be 0 - 3/(y + -2). Suppose -k + l*k - 4 = 0. What is the remainder when 5 is divided by k?
1
Let y = 2 - -44. Calculate the remainder when y is divided by 16.
14
Let w(d) = 18*d**3 + d**2 - 3*d + 2. Calculate the remainder when w(2) is divided by 21.
18
Let j = -74 - -162. Suppose 5*n = -38 + j. What is the remainder when n is divided by 4?
2
Suppose -8*l = -13*l + 225. What is the remainder when l is divided by 8?
5
Let w = 254 + -242. Calculate the remainder when w is divided by 1*(0 + 5*1).
2
Suppose -5*r + 10*r - 75 = 0. Let l = r - -1. Calculate the remainder when 46 is divided by l.
14
Let y(n) = 6*n + 1. Let d be y(1). Suppose d*g - 171 = 4*g. What is the remainder when g is divided by 30?
27
Suppose 0*s - 16 = 2*s. Let j = s + 11. Suppose -1 = 2*a - 11. What is the remainder when a is divided by j?
2
Let j(b) = 100*b + 15. What is the remainder when j(2) is divided by 56?
47
Suppose 0 = -23*a + 24*a. Suppose -8*x + 3*x + 15 = a. Suppose 2*p - 16 = -3*f, -2*p + 9 + 7 = -3*f. Calculate the remainder when p is divided by x.
2
Suppose -3*r + 16 = -2*y, -4*r + y + 3 + 15 = 0. Let v = 14 - 7. What is the remainder when v is divided by (6/r)/((-1)/(-2))?
1
Suppose 4*v - 4*s + 2 = s, 3*s - 6 = 0. Suppose -v*j + 6 = -28. What is the remainder when 33 is divided by j?
16
Suppose -3*r - 3*v = 2*r - 130, 5*r - 4*v = 95. Suppose -4*c = -5 - 15, c - r = -2*q. Suppose -34 = -2*k - 0. What is the remainder when k is divided by q?
8
Suppose -q + 0*q + 3 = 0. Suppose -d = -40 - q. What is the remainder when d is divided by 15?
13
Let m be 2 - 2/(-2)*3. Suppose 14 + 1 = m*b. Suppose -b*a + 26 + 4 = 0. Calculate the remainder when a is divided by 4.
2
Let m(w) = w - 8. Let a be m(12). Suppose 4*z + 64 = a*r, -1 - 3 = -r - 5*z. What is the remainder when 39 is divided by r?
11
Let l = -3 + 17. Suppose h - l = -0*h. Let a(z) = -z**3 - z**2 + 26. What is the remainder when a(0) is divided by h?
12
Let o = 28 - 4. What is the remainder when 70 is divided by o?
22
Let s(k) = -10*k - 5. What is the remainder when s(-3) is divided by 18?
7
Let f = -64 - -66. Let v = 58 - 26. Suppose -5*w = 3*c + 24 - 62, -v = -f*c - 5*w. What is the remainder when 23 is divided by c?
5
Let r be 3/(-18) - (-3)/18. Suppose -3*a - 2*a + 10 = r. Suppose a*q = -q + 36. Calculate the remainder when 22 is divided by q.
10
Suppose 27 = -5*x + 47. Calculate the remainder when 61/9 + (-4)/(-18) is divided by x.
3
Let f = 25 - 18. Calculate the remainder when 8 is divided by f.
1
Let a = 10 - 5. Suppose 4*k + a*p - 20 = 2*k, -10 = -5*p. Calculate the remainder when 12 is divided by k.
2
Suppose -3*h - 40 = -97. Let j(m) = -m**3 + 8*m**2 + 9*m + 1. Let k be j(9). Calculate the remainder when h is divided by (-7)/(-2)*(1 + k).
5
Suppose 2*c = 30 - 2. Calculate the remainder when 51 is divided by c.
9
Let y(q) = q**3 - 7*q**2 + 7*q + 1. Suppose -4*l + 3*p = -52, -l + 17 = -5*p - 13. Let u = 23 - l. Calculate the remainder when u is divided by y(6).
6
Let c = 93 - 20. What is the remainder when c is divided by 38?
35
Let b(t) be the third derivative of 0*t - 2*t**2 + 1/6*t**3 + 1/60*t