t j(z) = 33*z**3 - 4*z + 3. What is the remainder when j(1) is divided by 13?
6
Suppose 4*c = -0*c + 168. Let q(o) = o**3 + 10*o**2 + 15. Calculate the remainder when c is divided by q(-10).
12
Let f(n) be the first derivative of -n**2/2 + 7*n - 1. Let s(p) = p**2 + 6*p + 1. Calculate the remainder when f(5) is divided by s(-6).
0
What is the remainder when 16 is divided by (-11)/(-3) + (4 - (-44)/(-12))?
0
Let v be (2*17/(-2))/(-1). Let l = v - 11. Suppose -4*p = -l*p + 44. What is the remainder when 43 is divided by p?
21
Let s = 54 - -49. Calculate the remainder when s is divided by 36.
31
Let j(s) = -4*s + 2. Calculate the remainder when j(-3) is divided by 4.
2
Suppose -39*i + 34*i + 65 = 0. Calculate the remainder when i is divided by 8.
5
Let o = -7 + 41. Let b = o - 10. What is the remainder when b is divided by 1*(-15 - -2)*-1?
11
Let h be (-24)/(-16) + ((-1)/2)/1. Suppose -5*k = -3*a, 5*k - 5*a + 1 = -9. Let x = h + k. Calculate the remainder when 11 is divided by x.
3
Let k = -14 + 16. Let x(v) = -v**3 + 5*v**2 + 5*v + 8. Calculate the remainder when k is divided by x(6).
0
Suppose 0 = -4*z - 44 + 180. Let s(q) = -6*q + 13. What is the remainder when s(-9) is divided by z?
33
Let q be (5 - 7)*(0 + -2). Suppose a - q*u = 6*a - 193, 0 = 3*a + 3*u - 117. Calculate the remainder when a is divided by 8.
5
Suppose 5*a + 187 - 587 = 0. Let l be a/36 + (-6)/27. Suppose 80 = l*y - 2*q - 20, 3*q = -3*y + 168. Calculate the remainder when y is divided by 18.
17
Let i(s) = -11*s - 1. What is the remainder when 126 is divided by i(-4)?
40
Let n be 1*(2 - 0) + -1. Let k be 8/3 - n/(-3). What is the remainder when (18 - -1)*(5 - k) is divided by 20?
18
Let t = 23 - 16. Suppose -5*o + 2*w = -73, -o = -5*o + 2*w + 60. What is the remainder when o is divided by t?
6
Suppose 4*k + 31 = 311. Let l = k + -50. What is the remainder when l is divided by 7?
6
Suppose -2*v + 2*t + 13 = -11, t = 4*v - 39. What is the remainder when 24 is divided by v?
6
Suppose 10 = -2*a, 0 = 2*v - a + 4*a - 43. Calculate the remainder when 144 is divided by v.
28
Suppose 0 = 4*d + d. What is the remainder when 15 is divided by 4 - (d + 0)/2?
3
Let b = 12 - 9. Suppose 4*w = 0, 4*w - 6 = -2*o - w. Suppose -2*f + 11 = v, -o*f - 3*v + 13 = -f. Calculate the remainder when f is divided by b.
2
Let v(s) = s**3 + 8*s**2 - 15*s - 22. What is the remainder when 89 is divided by v(-9)?
25
Let f(n) = -3*n + 2*n + 0*n. Let s be f(-5). Suppose 0 = g - 3 + s, 5*y = -3*g + 64. What is the remainder when 26 is divided by y?
12
Let n(y) = y**3 - 11*y**2 + 12*y - 6. What is the remainder when 25 is divided by n(10)?
11
Calculate the remainder when (3/1 - 1) + 34 is divided by 13.
10
Suppose 84 = 3*a + 3*h, 2*h + 0 + 82 = 4*a. Suppose -2*o = -a - 49. Calculate the remainder when o is divided by 19.
17
What is the remainder when 35 is divided by 0 - -27*6/9?
17
Let s = -40 + 95. Calculate the remainder when s is divided by 28.
27
Suppose -5*m - 3*y + 66 = -0*y, 0 = y + 3. What is the remainder when 28 is divided by m?
13
Let u(n) = -7*n. Let j be u(1). Let g = 24 + j. Let s = 52 - 47. Calculate the remainder when g is divided by s.
2
Let n be (-92)/(-6) + (-12)/(-18). Suppose n = -4*b, 2*p - b = 5*p - 89. Let y = -16 - -27. What is the remainder when p is divided by y?
9
Let z = 84 + -72. What is the remainder when z is divided by 12?
0
Let c(y) = -y + 31. Let j(h) = -h**3 - 9*h**2 - 23*h - 4. Calculate the remainder when c(0) is divided by j(-5).
9
Suppose 5*c + 5*i = 4*c + 71, -5 = -i. Calculate the remainder when c is divided by 24 + 0/((-7)/((-7)/(-2))).
22
Let q(h) = -h**2 + 12*h - 9. What is the remainder when q(8) is divided by 5?
3
Let m = 4 + -14. Let g(h) = 2*h**2 - 6*h - 7. What is the remainder when g(5) is divided by (1 - m/4)*2?
6
Let t(o) = o**2 + 5*o + 7. Let a be t(-5). Let n = a - 11. Let l(x) = -7*x + 3. What is the remainder when l(n) is divided by 11?
9
Suppose 16*j - 14*j = 52. Calculate the remainder when 76 is divided by j.
24
Let x(k) = 3*k - k**3 + 6*k**2 - 6*k - 2*k. Let h be x(4). Suppose 0 = 2*m - y - h, 2*m - 15 + 3 = 5*y. Calculate the remainder when 17 is divided by m.
5
Let f = -84 - -119. What is the remainder when f is divided by 6?
5
Suppose 37*u - 26 = 35*u. Calculate the remainder when u is divided by 5.
3
Let g = 16 - 1. Let s(q) = 10*q**2 - q + 2. Let v = 9 - 11. What is the remainder when s(v) is divided by g?
14
Suppose -33 - 2 = -d. What is the remainder when 138 is divided by d?
33
Let l(t) = 12*t + 20. Let c(w) = -3*w - 5. Let s(i) = 9*c(i) + 2*l(i). What is the remainder when s(-5) is divided by -9*((-2)/(-6) + -1)?
4
Let g = -29 + 62. What is the remainder when g is divided by 9?
6
Suppose 4*m = m - 45. Let c = 34 + m. Suppose -h + 5 = 2*j - 12, 45 = 3*j - 5*h. What is the remainder when c is divided by j?
9
Suppose -a + 5*a = -5*t + 288, 3*t - 168 = -4*a. Suppose 2*u - 6*u = -t. Let f = -74 - -103. Calculate the remainder when f is divided by u.
14
Suppose t = 6*t - 25. What is the remainder when 28 is divided by t?
3
Suppose 5*j = 4*s - 0*s - 272, 4*j - 68 = -s. Calculate the remainder when s is divided by 10.
8
Calculate the remainder when 182/7 - 3/1 is divided by (2/(-3))/(10/(-195)).
10
Calculate the remainder when 47 - (0 + -4)*2/(-4) is divided by 12.
9
Suppose -4*y - 4*p = p - 14, 5*y - 32 = p. What is the remainder when 9 is divided by y?
3
Let w(u) = -6*u + 5. Let k(f) = -13*f + 11. Let l(n) = 2*k(n) - 5*w(n). Let q = 65 - 39. Calculate the remainder when q is divided by l(3).
8
Suppose 0 = -2*i + 201 - 119. Calculate the remainder when i is divided by 22.
19
Suppose -6*f = f - 504. Calculate the remainder when f is divided by 25.
22
Suppose -2*b = -4*r - 56, -b + 3*r + 8 = -23. Suppose 2*u + 36 = 164. What is the remainder when u is divided by b?
20
Suppose 1 = -3*y - 5, 0 = -x + 5*y + 25. Let l = 0 - -28. What is the remainder when l is divided by x?
13
Let q(s) = 5*s**3 - 2 - 4*s**2 + 3*s**2 + s + 1. Calculate the remainder when 2 + -2 + -2 + 15 is divided by q(1).
1
Let g(l) = 2*l**2 - 14*l + 8. What is the remainder when g(10) is divided by 19?
11
Suppose 0 = 3*y - 6*y + 9. Calculate the remainder when 10 is divided by y.
1
Let d(j) = -5*j**3 - 3*j**2 - 7*j - 4. What is the remainder when d(-3) is divided by 64?
61
Let v(o) be the first derivative of 11*o**4/4 + o**2/2 - o + 1. Let a(s) = s**3 - 16*s**2 - 16*s + 25. What is the remainder when a(17) is divided by v(1)?
9
Let c(l) = 4*l + l**2 + 3*l**2 - 3*l**2 + 5. What is the remainder when c(-10) is divided by 22?
21
Suppose 0 = -0*a - 3*a + 81. Calculate the remainder when a is divided by 72/5 + (-6)/15.
13
Let o(f) = f**3 + 3*f**2 - 5*f + 1. Let c be o(-4). Suppose c*y = 4*i - 8 + 19, 0 = -4*i + 4. Calculate the remainder when 5 is divided by 6/9*y - -1.
2
Let y(m) = -3*m. Let o be -3 - -4*(-1)/2. Suppose 3*f = -2*f + 285. Calculate the remainder when f is divided by y(o).
12
Let l(b) = 2*b - 2. Let f be (-1)/6 + 37/6. Let v = 13 - -6. Calculate the remainder when v is divided by l(f).
9
Let g = 87 + -60. Calculate the remainder when 53 is divided by g.
26
Let c be 4/(-26) + (-4156)/26. Let z = 245 + c. What is the remainder when z is divided by 22?
19
Let f(l) = -2*l**2 - 2*l. Let t be f(2). Let z = 4 - t. What is the remainder when 45 is divided by z?
13
Suppose -15 = 3*f, h - 5*f = -0*h + 95. Calculate the remainder when h is divided by 12.
10
Let t(d) = 2*d**2 + d + 0*d**2 - 5*d**2 + 5*d**3. Let f be t(2). Calculate the remainder when 17 is divided by 162/f - (-2)/(-5).
2
Suppose 2*k = -v + 39, 4*v = -v + 15. Suppose 3*y + 2*r = 155, -4*y + r + 157 = -57. Calculate the remainder when y is divided by k.
17
Let j(l) = -l**2 - 6*l + 5. Let t(x) = -x**3 - 12*x**2 - 5. Let n be t(-12). Calculate the remainder when 28 is divided by j(n).
8
Suppose 32 = 4*a + 3*z, 15 = 5*a - 5*z - 25. Calculate the remainder when a is divided by 5.
3
Suppose a + 4*r - 2 = 2*r, a - r = 14. Let x be a/2*(-1 - -2). Suppose i + 2 = -l + x*i, 2*l + 2*i - 36 = 0. Calculate the remainder when 27 is divided by l.
13
Let n = -179 + 193. What is the remainder when 110 is divided by n?
12
What is the remainder when (-18)/6*(-32)/3 is divided by 9?
5
Let k(z) = 2*z**3 - 4*z**2 - 4*z + 1. Let c be 42/9 + 4