e 0 = 2*y + 4*j + 178 - 442, j = -y + 132. What is the remainder when y is divided by 9?
6
Suppose -3*l + 2 + 4 = 0. Calculate the remainder when 317/11 + l/11 is divided by 8.
5
Let x(v) = v + 13. Let r be x(-8). Suppose r*p = p + 104. What is the remainder when p is divided by 9?
8
Let f = -16 + 22. Calculate the remainder when 35 is divided by f.
5
Let b(f) = f**3 - f**2 - 2*f - 4. Let r be b(3). Let l be 4/r + 103/(-2). Let h = -26 - l. What is the remainder when h is divided by 13?
12
Let n(r) = r**3 + 6*r**2 - 6*r - 5. Let p be n(-6). Let u = -12 + p. What is the remainder when 74 is divided by u?
17
Let f(m) = -56*m - 2. Let j be f(-2). Suppose -18 = -4*x + j. Calculate the remainder when x is divided by 17.
15
Let d = 4 - -8. What is the remainder when 33 is divided by d?
9
Let f = 79 - 67. What is the remainder when 71 is divided by f?
11
Suppose r - 5 = 6. Let p = -5 - -7. Suppose p*a - 3*a = -5*t, -4*t - 64 = -4*a. What is the remainder when a is divided by r?
9
Let w(r) = -r**3 - 8*r**2. Let f be 3*(0 - -1) - 11. Let h be w(f). Calculate the remainder when 25 is divided by 0 - -7 - h/4.
4
Suppose d = -d. Suppose 0 = -4*l - 2*j + 26 - 2, d = l + 5*j - 6. Calculate the remainder when 11 is divided by l.
5
Let k(h) = -h + 18. Calculate the remainder when 19 is divided by k(9).
1
Suppose -124 + 13 = -f. What is the remainder when f is divided by 28?
27
Let m = -5 + 4. What is the remainder when (-2 - (-21)/m)*-1 is divided by 12?
11
Suppose -5*r - 4*n + 82 = 0, 3*n + 2*n - 62 = -4*r. Calculate the remainder when 34 is divided by r.
16
Let u = -14 - -59. What is the remainder when u is divided by 24?
21
Let o = 37 + -17. Suppose -2*x = y - o, -y - y = -2*x + 26. Suppose 0 = 5*q - 24 - x. What is the remainder when q is divided by 4?
3
Suppose -5*z - 2*g = -43, -28 - 9 = -4*z + g. Calculate the remainder when 107 is divided by z.
8
Suppose -2 = r + 3*x, -4*r + x = -20 + 2. Suppose 0 = 5*m + 2*p - 6, 0*m + r = m - p. Suppose 18 = m*j - 0*j. What is the remainder when 25 is divided by j?
7
Suppose i = -5*f + 164 - 0, f + 3*i - 44 = 0. What is the remainder when f is divided by 11?
10
Let x(g) = -2*g**3 + g**2 + 2*g + 4. Let k(z) = z + 2. Calculate the remainder when x(-2) is divided by k(5).
6
Let h = 5 + -6. Let t(f) = -3*f**3 - 2*f**2 + 1. Let l be t(h). Suppose -7 = -s + l. What is the remainder when s is divided by 5?
4
Let i(m) = m**3 - 10*m**2 + 11*m + 9. What is the remainder when i(9) is divided by 14?
13
Let s(l) = 12*l - 16. Let m(t) = -18*t + 11 + 10 + 3. Let w(a) = 5*m(a) + 8*s(a). What is the remainder when w(6) is divided by 15?
13
Suppose 17*s - 14*s = 4*s. Let p = 7 - -1. Suppose 4*g - 14 = -2*j + p, s = -4*j - g + 30. What is the remainder when j is divided by 2?
1
Let v(h) = h + 13. Calculate the remainder when 15 is divided by v(-9).
3
Let c(b) = -4*b**3 - 12*b**2 - 5*b - 6. What is the remainder when 26 is divided by c(-3)?
8
What is the remainder when 151 is divided by 100/6 - 6/(-18)?
15
Suppose 2*p + 3*o = 7, 0*o = -2*p + o + 11. Suppose -3*h + 28 = 4*s, -p*s - 74 = -5*h + 31. What is the remainder when 31 is divided by h?
15
Let k(y) = y**3 + y + 33. What is the remainder when k(0) is divided by 9?
6
Let k = 9 - -28. Let w be ((-1)/3)/(2/(-12)). Suppose -4*g = -w*g - 26. Calculate the remainder when k is divided by g.
11
Suppose 0 = -4*v + 4*r + 56, v + 5*r + 5 - 1 = 0. Suppose 4*w = 10 + 6. Suppose y - w - 2 = 0. What is the remainder when v is divided by y?
5
Suppose -2*i + 7*i = 5. Let n be 1 + 1 + i + 1. Let b(a) = 14*a - 6. Calculate the remainder when b(n) is divided by 17.
16
Suppose -49 = -x - 20. What is the remainder when 114 is divided by x?
27
Let g(p) = 3*p + 22. What is the remainder when g(10) is divided by 27?
25
Let h = 15 + -11. Calculate the remainder when 14 is divided by h.
2
Let m be 3 - (2 + -4)/(-2). Suppose -m*c - 10 = 2*q - 142, 0 = -5*q. Suppose x - 34 = 2*d, -2*x + 2*d - 2 = -c. Calculate the remainder when x is divided by 16.
14
Let j = 110 + -105. Calculate the remainder when 28 is divided by j.
3
Let z(o) = -14*o + 1. Let a be (-2 + 4)*2/(-4). What is the remainder when (27 - 0) + 3 + -1 is divided by z(a)?
14
Let s(g) be the first derivative of 2*g**3/3 - 2*g**2 + 3*g + 2. Let q(p) be the first derivative of s(p). Calculate the remainder when 30 is divided by q(5).
14
Let n(t) = 15*t - 2. Let f be n(2). Suppose -3*x - 20 = -i - 8*x, x - f = -5*i. Suppose v - 65 = -4*v. What is the remainder when v is divided by i?
3
Suppose -5*a + 4*c + 290 = 5*c, -a + 58 = -4*c. Let s = -32 + a. What is the remainder when s is divided by (-2)/(-9) + 248/18?
12
Suppose 95 = -l + 6*l. What is the remainder when 37 is divided by l?
18
Let n(v) = 4*v - 11. Calculate the remainder when n(7) is divided by 9.
8
Suppose 4*z = 2*f + 3 - 13, 4*z = -5*f + 11. Suppose f*w - 22 + 1 = 0. What is the remainder when 27 is divided by w?
6
Suppose -5*p = 2*s + 57 - 11, -3*s + 5*p = 44. Let l = -37 - s. Let b = -4 - l. What is the remainder when 43 is divided by b?
13
Let r(s) = s**3 - 8*s**2 + 7*s - 2. Let m be r(7). Let z = m + 4. Suppose -5*c + 2 = l, 4*l - z = -2*c + 6. What is the remainder when 5 is divided by l?
1
Let r(k) be the third derivative of k**5/60 - k**4/24 + 16*k**3/3 - k**2. Suppose 2*l - 4*l = -34. Calculate the remainder when r(0) is divided by l.
15
Suppose -3*x = -x - 22. What is the remainder when 42 is divided by x?
9
Let x be (-2)/2 + 5 + 46. Let a = x - 15. Suppose 60 = 4*d + d. Calculate the remainder when a is divided by d.
11
Let j = -102 - -155. Suppose 138 = r + j. Suppose 0 = -4*a + 27 + r. What is the remainder when a is divided by 15?
13
Let d = 0 - -10. Let i = d - 3. Suppose i = a - 1. What is the remainder when 15 is divided by a?
7
Let w(n) = -n**3 + 6*n**2 - n. Suppose -9*u + 7*u = -30. Calculate the remainder when w(4) is divided by u.
13
Let p(x) = x - 5. Let s be p(6). Let i be (-1)/(s/8) + 2. What is the remainder when 23 is divided by i/9 + (-52)/(-6)?
7
Suppose -3*r = -4*r + 65. What is the remainder when r is divided by 17?
14
Let g = 37 - 16. Suppose t = -3*t + 328. What is the remainder when t is divided by g?
19
Suppose -3*r = 5*z - 10, 2*r - 4*r = 3*z - 7. Calculate the remainder when r is divided by 4.
1
What is the remainder when 26 is divided by (-5*1)/(2 + (-5)/2)?
6
Let g = -27 - -43. Calculate the remainder when 28 is divided by g.
12
Suppose -137 = 6*r - r + u, 12 = 4*u. Calculate the remainder when (r/(-5))/((-14)/(-35)) is divided by 5.
4
Suppose -2*u = -5*b - 55, 3*u + 2*b + b = 51. Let m = 29 - u. Suppose 0 = -12*s + 7*s + 80. What is the remainder when s is divided by m?
7
Let g = 23 - 45. Let d = g + 32. Calculate the remainder when 28 is divided by d.
8
Suppose 4*c = 6*c + 2. What is the remainder when (c - -2)/((-10)/(-1130)) is divided by 29?
26
Let k = -11 - -30. What is the remainder when 111 is divided by k?
16
Suppose 0 = 4*n + h - 13, -n + 26 = 4*n - 2*h. Let f(x) = x - 10 + 7 - n*x. What is the remainder when 5 is divided by f(-2)?
2
Let f = 3 - 3. Suppose f*c = -5*c + 10. What is the remainder when c is divided by 2?
0
Suppose 0*p - 28 = -2*p. What is the remainder when 41 is divided by p?
13
What is the remainder when (-1 + -21)*10/(-4) is divided by 19?
17
Let k(i) be the first derivative of i**4/4 + 4*i**3 - 15*i**2/2 - 19*i + 9. What is the remainder when 13 is divided by k(-13)?
6
Suppose -5*s + 61 = -39. Let b = s - 13. Let v(w) = w**3 - 17*w**2 + 16*w + 3. What is the remainder when b is divided by v(16)?
1
Let y(b) = -b**2 + 14*b - 2. Calculate the remainder when 29 is divided by y(13).
7
Suppose c = -5*s + 14, -4*c + 0*s + 79 = -3*s. What is the remainder when c is divided by (-18)/(-45) - (-33)/5?
5
Let h = -4 + 6. Suppose h*m + 0 - 6 = 0. Suppose -4*s + 3*d = -20, m*s - 3 - 12 = 2*d. Calculate the remainder when s is divided by 2.
1
Calculate the remainder when 18 is divided by (140/(-49))/(2/(-7)).
8
Let t = -7 - -28. Suppose 0 = u + 4*u - 195. Calculate the remainder when u is divided by t.
18
Suppose 0*n = 8*n - 688. What is the remainder when n is divided by 22?
20
Let q = -43 + 78. What is the remainder when -1 + 0 + q - 1 is divided by 12?
9
Let o(i) = -i**3 + 2*i**2 - 3*i + 3. Let j be o(2). Let r = j - -5. What is the rema