 = 3. What is the remainder when y is divided by c?
3
Let z(p) = -p. Let d(q) = 2*q + 1. Let j be d(-1). What is the remainder when z(j) is divided by (-6*1)/(-2) + -2?
0
Let y be (-1 + 77)*(-4)/(-8). Suppose -3*u + 3*t + y - 2 = 0, 50 = 4*u - 2*t. What is the remainder when u is divided by 5?
3
Calculate the remainder when (1 + 5/(-10))/((-1)/(-462)) is divided by 26.
23
Suppose -6*i = -2*i - 4. What is the remainder when 18 is divided by (-7 - -10) + i*4?
4
Let i(d) = 2*d**2 + 3*d + 7. What is the remainder when i(5) is divided by 38?
34
What is the remainder when 22/4 + (-27)/(-18) is divided by 4?
3
Let n = 4 - 4. Suppose -3*z - 15 = -n*z. Calculate the remainder when 20 is divided by (-66)/(-10) - 2/z.
6
Let f(d) = -3*d**3 + 3*d**2 + 6*d + 5. Calculate the remainder when f(-3) is divided by 24.
23
Suppose -2*x + 62 = 2*l, -3*l = -5*x + 28 + 127. Calculate the remainder when x is divided by 0 - (-3)/((-6)/(-22)).
9
Suppose -9*n = -19*n + 420. Calculate the remainder when n is divided by 27.
15
Suppose 2*t - 110 = -t - y, 3*t - 126 = 3*y. Let z = 19 - 12. Let g = 3 + z. What is the remainder when t is divided by g?
8
Let d(i) = 2*i**2 - 2*i - 2. Let m be d(5). Suppose 8*s = 6*s + m. Suppose -93 - 92 = -5*b. What is the remainder when b is divided by s?
18
Suppose -3*q = -3*h - 3, 3*h - 2*q = -6*q + 4. Suppose z + b = 33, -2*b + b = -5*z + 153. Calculate the remainder when z is divided by 16 - 0/(2 - h).
15
Calculate the remainder when (-195)/(-12) - (-4)/(-16) is divided by 14.
2
Suppose -25 = 5*f, -2*d + 3*d - 91 = 2*f. Calculate the remainder when d is divided by 14.
11
Calculate the remainder when 26 is divided by 6/(-4) + 2 + (-85)/(-10).
8
Let g = 8 + 25. Calculate the remainder when 127 is divided by g.
28
Suppose -4*s - 4*c + 58 = -2*c, 0 = 3*c - 9. Calculate the remainder when s is divided by 8.
5
Suppose 3*m = 7*m - 72. Calculate the remainder when ((-48)/18)/((-1)/m) is divided by 25.
23
Calculate the remainder when 39 is divided by (4 - 6)/((-4)/42).
18
Let v(l) = 6*l + 1. Let g be v(1). Let z = g - 4. Suppose 48 = z*b + 18. Calculate the remainder when b is divided by 4.
2
Suppose 4*f + 1 = -4*x + 9, -4 = -3*x - 5*f. Suppose 2*m = -x*m + 35. Suppose 3*l - 4*l = -m. Calculate the remainder when 13 is divided by l.
6
Suppose d = -d + 130. Suppose 3*w + 43 = 2*c, 4*c - 2*w - d = -3*w. Calculate the remainder when c is divided by 10.
7
Suppose 0 = -3*z - p - 24, z - 4*p = 2*z + 19. Calculate the remainder when (-1 + 5)/((-1)/z) is divided by 10.
8
Let q = 3 + -5. Let o be (8/10)/(q/(-15)). Suppose 4*u - 5*g = 53, 5*g - o - 9 = 0. Calculate the remainder when u is divided by 9.
8
Suppose -q = -2*q + 3. What is the remainder when q is divided by 1?
0
Suppose 4*i - 3 = 3*i. Let s(c) = c**3 - 2*c**2 + 2*c + 4. Suppose l = -b + 3*b - 16, 3*b = 4*l + 29. What is the remainder when s(i) is divided by b?
5
Let b(w) = 2*w**3 - 2*w**2 + w + 3. What is the remainder when b(4) is divided by 54?
49
Suppose 2*g - 118 + 28 = 0. Suppose 0 = -2*x - d + 4*d + 41, 4*x = -4*d + 52. Calculate the remainder when g is divided by x.
13
Let a = -45 + 65. What is the remainder when a is divided by 11?
9
Suppose 2*d - 1 = 3*u + 16, 0 = 4*u + 20. Calculate the remainder when 33 is divided by (-16 - d)/(-8 + 7).
16
Calculate the remainder when (-385)/(-15) + 2/6 is divided by 14.
12
Suppose -s = 2*j - 0*j - 1, -3*j = -5*s + 70. What is the remainder when s is divided by ((-3)/(-4))/(2/16)?
5
Suppose 0 = 4*j + 12, 2*n + 263 = 7*n - j. What is the remainder when n is divided by 27?
25
Let n(r) = 4*r**2 + r - 6. Let b(z) = -z**2 + z + 1. Let p(m) = 3*b(m) + n(m). Calculate the remainder when 52 is divided by p(3).
16
Let c(h) = 0*h + 4 + 2*h**2 + 6*h - 6. Suppose 0 = -5*i + 3*i - 12. Calculate the remainder when c(i) is divided by 12.
10
Suppose 2 = -l, 4*x = -0*l - 2*l - 8. What is the remainder when 71 + x*(1 - -2) is divided by 14?
12
Let o(p) = p**3 + 6*p**2 - p - 4. Let i be o(-6). Suppose 2*k - 41 = h, -i*k + 3*k + 3*h = 31. What is the remainder when k is divided by 6?
4
Let t(v) = v**2 + 4. Let x be t(-6). Suppose -4*g + 4*q = -x, 3*g = 3*q + q + 27. What is the remainder when 4*15*4/10 is divided by g?
11
Let b(u) be the third derivative of -u**5/60 - 3*u**4/8 + u**3 - 3*u**2. Let q be b(-6). Calculate the remainder when (0 - 1) + 0 + q is divided by 8.
7
Let w be 1 - 0 - -11 - 2. Suppose 3*i - 14 = w. What is the remainder when i is divided by 5?
3
Let j(r) be the second derivative of r**4/3 - r**2/2 + r. Let u be j(-1). Let x(p) = 4*p - 3. What is the remainder when 25 is divided by x(u)?
7
Suppose -47 = -5*j + 13. Suppose d + 2*d = j. Calculate the remainder when 6 is divided by d.
2
Let m = -17 + 24. Let l = 10 - m. Suppose 0*q + l*q = 111. Calculate the remainder when q is divided by 13.
11
Suppose -193 - 55 = -2*r + 2*l, -3*l = -2*r + 248. Calculate the remainder when r is divided by 32.
28
Let d = 114 + -78. Calculate the remainder when d/(-12) + (-38)/(-1) is divided by 12.
11
Suppose -5*f - 4*m - 12 = -84, 3*f - 30 = 2*m. Suppose 0 = 5*t - t - f. What is the remainder when 3 is divided by 2 + 0*t/(-3)?
1
Let f(h) = -h**3 - 16*h**2 - 16*h + 17. Suppose -j - 2*a - 26 = -3*j, 1 = j - 4*a. Calculate the remainder when f(-15) is divided by j.
15
Suppose 0 = 3*f - 12, 0 = -d + 5*f - 2 - 16. Suppose -14 + 52 = d*h. What is the remainder when h is divided by 10?
9
Let u be 1/5 + 29/5. Let r = 10 - 2. Calculate the remainder when 3/u*6 + 12 is divided by r.
7
Let t(i) = -3*i**3 - 6*i**2 - 2*i + 5. What is the remainder when t(-4) is divided by 28?
25
Suppose -2*n + i = n - 56, -2*n = 2*i - 40. Suppose -4*t + 2*t = 10, -2*g = -5*t + 9. Let a = g - -24. Calculate the remainder when n is divided by a.
5
Let r = -13 - -52. Calculate the remainder when 69 is divided by 14/91 + 540/r.
13
Let u = -31 + 102. Suppose 0 = -m - 13 + u. Let v = 30 - 15. Calculate the remainder when m is divided by v.
13
Suppose 2*f + 11 = 4*d + 3, 40 = 5*f + 5*d. What is the remainder when 51 is divided by f?
3
Let u(o) = 7*o + 1. Let v = -2 - -6. Suppose -4 = -c, v*s + 4*c = -s + 91. What is the remainder when u(4) is divided by s?
14
Let n be ((-6)/(-4))/(6/(-56)). Calculate the remainder when 14 is divided by n/(-3) - 3/(-9).
4
Suppose 0*m = 2*m. Suppose -2*r = -k + 3 - 2, k + 3*r - 21 = m. Calculate the remainder when 24 is divided by k.
6
Suppose 4 = 3*d - 0*d - 4*g, -g - 1 = -3*d. What is the remainder when (-6 - d)*(-5 + 0) is divided by ((-12)/(-9))/(1*1/12)?
14
Let a = -6 + 6. Suppose a*c = 2*v - c - 14, 0 = -v + 5*c + 16. Let o(l) = -l + 7. What is the remainder when 1 is divided by o(v)?
0
Let m(v) = 2*v. Let p be m(2). What is the remainder when ((-76)/(-10))/(2/10) is divided by (-3)/p + (-166)/(-8)?
18
Let z(o) = 9*o - 2. Suppose 6*g - 2*g = -4*i + 24, 4*i = -5*g + 26. Calculate the remainder when z(4) is divided by 20 - g - 0/(-2).
16
Suppose -2*p - 2 = -4*y, 5*y + 5*p + 23 - 3 = 0. Let l be (-1 - (0 + -1))*y. Suppose -4*s = -l*s - 44. What is the remainder when 31 is divided by s?
9
Suppose 3*n - 3*p + 18 = 0, 2*p - 7*p + 22 = 3*n. Suppose 258*x - 88 = 250*x. Calculate the remainder when n/(-3) + 384/9 is divided by x.
10
Let c(a) = a**2 + 27*a + 1. Calculate the remainder when c(-31) is divided by 42.
41
Let m = -61 + 77. What is the remainder when 78 is divided by m?
14
Let z = 1 + -1. Suppose z = 2*b - 4 - 2. Suppose -b*f - 2*f = -65. Calculate the remainder when 24 is divided by f.
11
Suppose -4*q - 2*h = h - 40, -20 = -2*q + h. Suppose -5*d - 3*n - n = -179, -3*d = 4*n - 101. What is the remainder when d is divided by q?
9
Let n(k) = 6*k + 15. What is the remainder when n(9) is divided by 36?
33
Calculate the remainder when 157 is divided by (-20)/((-4)/18 - 5/18).
37
Suppose -4*v + 2*v = -16. Suppose -g = -3*g + 2*o + 4, 5*o = 5. Calculate the remainder when v is divided by g.
2
Suppose -61 + 181 = 5*h. Let j = 111 + -65. Suppose -5*d = -3 + 28, 2*s - 4*d - j = 0. What is the remainder when h is divided by s?
11
Suppose 0 = -6*v - 0*v + 186. Suppose -6 = -5*g + 4. Let m(p) = 4*p**2 + 2*p - 3. What is the remainder when v is divided by m(g)?
14
Let v(d) = 11*d - 47. Calculate the remainder when 55 is divided by v(6).
17
Let g = 16 + -4. Suppose -8 = p - 5. C