x) = 9*d(x) + 4*w(x). Calculate the remainder when (-1)/((-33)/(-12) - 3) is divided by m(0).
1
Suppose 4*n = -y + 39, n - 5*y - 21 = -3*n. What is the remainder when 26 is divided by n?
8
Let f = 3 + -9. Let x(z) = z**3 + 7*z**2 + 5*z + 7. Calculate the remainder when 23 is divided by x(f).
10
Suppose 0 = -2*j - 0*j + 4. Let h be 20/(2/8*4). Let l = -16 + h. What is the remainder when l is divided by j?
0
Let n(m) = -m**2 + m + 7. Let j be n(3). What is the remainder when 36 is divided by 38/3 - j/(-3)?
10
Let d(f) = -f + 4. Let l be d(4). Suppose l*k - 60 = -4*k. What is the remainder when k is divided by 1/(3/(-48)*-2)?
7
Let c(a) = a**3 - 11*a**2 - 11*a + 11. Let g be c(12). Suppose -w - 2 = -g. What is the remainder when w is divided by 8?
5
Suppose 324 + 32 = 4*n. Calculate the remainder when n is divided by 23.
20
Let g = -168 - -244. Suppose 4*n = 8*n - g. What is the remainder when n is divided by 7?
5
Suppose 2*i + 2*i - 8 = 0. Suppose i*q - 32 - 48 = 0. Calculate the remainder when q is divided by 14.
12
Let s = 5 - -17. What is the remainder when s is divided by 12?
10
Suppose 3*f = 5*p + 18 - 104, -4*p = -4*f - 72. Suppose 4*w = -6*u + 4*u + 184, 2*u = -5*w + 231. Calculate the remainder when w is divided by p.
15
Let g = -4 + 9. Suppose w + 29 = 4*n - 12, -3*n - g*w + 25 = 0. What is the remainder when n is divided by 6?
4
Suppose 3*l + 5*b + 64 = 0, -2*b - 39 = 4*l + 51. Let i = -14 - l. Calculate the remainder when 33 is divided by i.
6
Let s be 68/7 + (-2)/(-7). Let w = -5 + s. What is the remainder when 12 is divided by w?
2
Let a(j) = 4*j**2 - j. Calculate the remainder when 13 is divided by a(-1).
3
Suppose 66*h - 70*h + 64 = 0. What is the remainder when 29 is divided by h?
13
Suppose 4*x = -x + 5. Let p(w) = 12*w**3 - w**2 + 1. What is the remainder when 23 is divided by p(x)?
11
Let l(i) = -2*i**2 + 10*i + 12. What is the remainder when (6/4)/(1/22) is divided by l(5)?
9
Let q = -183 - -263. What is the remainder when q is divided by (2 + -122)/(-5) - 3?
17
Suppose 5*k - 2*k - 51 = 0. Let i(x) = x + 13. What is the remainder when k is divided by i(-4)?
8
Let x(t) = -t**3 + t**2 - t + 3. Let m = -3 + 6. Suppose 13 = m*y + 1. What is the remainder when y is divided by x(0)?
1
Suppose -6*z + 155 = -67. Suppose 5*p + 28 = 2*a, 0 = 3*p - 6*p + 3*a - 15. What is the remainder when z is divided by 52/p*(-3)/2?
11
Let t = 15 - 12. Suppose -t*i + 63 = -0*i. What is the remainder when 2/(-9) - (-1462)/18 is divided by i?
18
Let q be (-8)/(-2) - (-1)/(-1). Suppose 2*x = -q*u, 0 = -0*u + u. Let l = 2 - x. Calculate the remainder when 5 is divided by l.
1
Let r(c) = c**3 + 8*c**2 + 7*c + 13. Let s be (-2)/3 - (-32)/(-6). Calculate the remainder when r(s) is divided by 11.
10
Let j = 1 - -1. Suppose -3*a + d + 69 = 0, -j*d - 3*d = 4*a - 73. Suppose -a = -5*f + 133. What is the remainder when f is divided by 8?
7
Suppose 0*m + 3*m - h = 17, -13 = -2*m - h. What is the remainder when 21 is divided by m?
3
Let n(v) be the first derivative of -v**3/3 + 7*v**2/2 - 5*v - 7. Calculate the remainder when 13 is divided by n(5).
3
Suppose -v + 1450 = -4*a, -v + 3*v + 1806 = -5*a. Let g(w) = -w**3 - 6*w**2 - 2*w + 2. What is the remainder when a/(-9) - (-12)/(-54) is divided by g(-6)?
12
Suppose q - 88 = -3*q. Calculate the remainder when q is divided by 12.
10
Let x = 198 - 179. Calculate the remainder when 243 is divided by x.
15
Suppose 0*s = -s + 17. What is the remainder when 46 is divided by s?
12
Let v(g) = 7*g**3 - 2*g + 1. What is the remainder when 11 is divided by v(1)?
5
Let d(z) = -z - 3. Let s be d(0). Calculate the remainder when 201/9 - 2/s is divided by 12.
11
Suppose -4*c + 58 = -10. Calculate the remainder when c is divided by 12.
5
Let y(h) = -28*h**2 - 2*h. Let r be y(-1). Let t = 56 + r. Calculate the remainder when t is divided by 16.
14
Suppose -b + 5*t = 2*b - 8, 2*t = -5*b + 3. Suppose 35 = 3*a - b. Calculate the remainder when 34 is divided by a.
10
Let l = 0 - -14. Suppose 5*p = -3*w + 13 + 16, -5*w + 35 = 5*p. Calculate the remainder when (p + 1 + -4)*54 is divided by l.
12
Let t(f) = -20*f**3 + f**2. Let h be t(-1). Suppose -p = -4*p + h. What is the remainder when 13 is divided by p?
6
Suppose 2*u + 4*g = 0, 1 = 3*u + 4*g - 1. Suppose -j - u*j - 3*l - 9 = 0, -5*l = 2*j + 12. What is the remainder when (2 + j)/((-3)/(-99)) is divided by 17?
16
Suppose -21 = -3*d + 5*a + 60, -38 = -2*d - 2*a. Suppose 82 = -5*c + 7*c. Calculate the remainder when c is divided by d.
19
What is the remainder when 33 is divided by 6/(-2) + (-96)/(-8)?
6
Suppose -w = w - 38. Calculate the remainder when 37 is divided by w.
18
Let v = -88 + 138. Let j = -32 + 58. What is the remainder when v is divided by j?
24
Let t(u) = -4*u - 44. What is the remainder when 119 is divided by t(-17)?
23
Let t(j) = 0*j - 9*j + 2*j**2 + 2 + 0*j. What is the remainder when t(6) is divided by (-11)/2*-2*1?
9
Let w = 19 - 3. Calculate the remainder when 46 is divided by w.
14
Suppose 2*x + 15 = -5*h, 3*h - 3 = 2*x - 12. Let b be 1/(x - (-3)/135). Let d = 70 - b. Calculate the remainder when d is divided by 13.
12
Suppose 2*b - 92 + 28 = -3*z, 148 = 4*b - 4*z. What is the remainder when b is divided by 12?
11
Let q be -1*(1 + (-6)/(-3)). Let w = q - -18. What is the remainder when 43 is divided by w?
13
Let s = 20 + -11. Calculate the remainder when 33 is divided by s.
6
Suppose -2*n - v = -0*v - 52, 3*v = 5*n - 130. What is the remainder when 101 is divided by n?
23
Suppose -184 = 10*h - 14*h. What is the remainder when h is divided by 12?
10
Let x(a) = -a + 19. Calculate the remainder when 40 is divided by x(-8).
13
Suppose 2*b - 236 = -4*x - 2*b, -5*x + 265 = -b. Suppose a = 5*j - a - x, -3*j = 2*a - 26. What is the remainder when 29 is divided by j?
9
Let c = 6 - 11. Let y = c + 6. Calculate the remainder when y is divided by 1.
0
Let k be -1 - 1 - (0 + -2). Let s(r) be the second derivative of r**4/12 + 19*r**2 - r. What is the remainder when s(k) is divided by 13?
12
Suppose 39 = 5*y + 4*o - 24, 0 = y + 2*o - 9. Suppose 0 = 6*m - 9*m + 18. What is the remainder when y is divided by m?
3
Suppose -5*x = -4*i + 47, x + 63 = 5*i - x. Let s = 112 - 108. What is the remainder when i is divided by s?
1
Suppose -8 = -3*w + 2*t + 10, 3 = -t. Calculate the remainder when w/(-14) + (-1692)/(-42) is divided by 14/1*3/2.
19
Suppose -2*u - 2*u = 4. Let n be (9 - u) + 0 + -1. What is the remainder when 2/((-6)/n) - -12 is divided by 6?
3
Let p = 78 + -50. Suppose -m + 18 = 2*i, -4*m - 2*i = -p - 26. What is the remainder when (19 - -6) + (-2)/1 is divided by m?
11
Let b = -12 + 1. Suppose -5*c + z = -105, 0 = -c - 3*c + 3*z + 95. Let x = b + c. Calculate the remainder when 25 is divided by x.
7
Let t(w) be the first derivative of w**2 + 6*w - 1. Calculate the remainder when t(8) is divided by 12.
10
Let q(w) = w - 4. Let c be q(6). Suppose 0*s + 16 = c*s. What is the remainder when 0 + (5 - 2) + s is divided by 4?
3
Let n(f) = -f**3 + 12*f**2 - 14*f - 11. Calculate the remainder when n(10) is divided by 25.
24
Suppose v + 19 = y, 0 = -4*y + v - 15 + 97. Calculate the remainder when y is divided by 63/6 + (6/(-12))/(-1).
10
Suppose x = 2*x - 10. Suppose 4*z - 33 = -k - 4*k, 11 = 3*z + k. Suppose -q - 6 = z*g, 3*g = q - 7 - 12. Calculate the remainder when x is divided by q.
2
Let q be (-4)/(-6) - (-124)/(-6). Let w = 6 - 4. What is the remainder when (-3)/2*q/15 is divided by w?
0
Suppose 3*y + 140 = 8*y. Calculate the remainder when y is divided by (-39)/(-4) + 1/4.
8
Let o(b) = -2*b - 3. Calculate the remainder when (-2)/1 + (60 + 6)/3 is divided by o(-7).
9
Suppose 2 = 2*p - 0*p - 2*m, m = -5*p + 5. Let i(z) = -z + 2. Let x be i(1). Suppose 4*d - x = 3. Calculate the remainder when p is divided by d.
0
Let f(b) = -2*b**3 - 4*b**2 - 2*b + 1. Let i be f(-2). Suppose 8 = -4*q + i*q. What is the remainder when 3 is divided by q/5 - 4/(-10)?
1
Calculate the remainder when 127 is divided by (-2)/4 + 333/18 + -2.
15
Suppose -4*d = -m + 18, -m + 2*m + 10 = -3*d. Suppose -m*q - 3*q = -40. Calculate the remainder when 12 is divided by -5 + q - (-3 + -1).
5
Let b be 1 - (0 - 1*4). Suppose -y = -6*y. Suppose -8*w + b*w + 75 = y. What is the remainder when w is divided by 9?
