 10. Calculate the remainder when l is divided by 13.
12
Suppose -50 = -2*v + 28. What is the remainder when 151 is divided by v?
34
Let u be (-4 + 2 - -2)/2. Suppose -4*v + u = -32. What is the remainder when -69*(5/3 + -2) is divided by v?
7
Suppose -4*b = -3*q + 59, -6*b - 51 = -2*q - b. Suppose 4*y = 3*y + q. Let k = 27 - 4. What is the remainder when k is divided by y?
10
Suppose -3*v + 10 = -v. Calculate the remainder when (-9)/(-4 - (-1 + -2)) is divided by v.
4
Suppose -2*k + 31 - 9 = 0. Suppose k = 5*f - 19. Suppose -3*s + h + 80 = f*h, 5*s - 2*h = 123. Calculate the remainder when s is divided by 9.
7
Suppose 9 + 9 = 2*l. Suppose -37 - l = -h. What is the remainder when h is divided by 16?
14
Let v = -6 + 7. Let b(n) = 12*n - 1. Calculate the remainder when 31 is divided by b(v).
9
Let p(s) = 7*s + 5. What is the remainder when p(2) is divided by 4?
3
Calculate the remainder when (40/6)/((-10)/(-195)) is divided by 34.
28
Let w be (1 + -16)*(-35)/21. Suppose u = 2*h + w, 6 = u - 4*h - 15. Suppose -3*v - 27 + 80 = -4*c, v - 5 = -5*c. Calculate the remainder when u is divided by v.
14
Suppose -9*x = -6*x - 195. What is the remainder when x is divided by 19?
8
Let z(s) = -s**3 + 17. Suppose 0 = -5*g - u + 3, -4*g - 4*u = -g - 12. Let r be g*3*3/9. What is the remainder when 49 is divided by z(r)?
15
Let d(t) = -2*t - 9. Let c be d(-6). Suppose 2*q - 3*f - 55 + c = 0, 8 = q + 3*f. What is the remainder when q is divided by 11?
9
Suppose -2 = 4*u - 70. Calculate the remainder when 50 is divided by u.
16
Let o be (-79 + 1)/(1 - 0). Let k = -44 - o. Suppose 0*q - 3*q = -36. Calculate the remainder when k is divided by q.
10
Let b(c) = 7*c - 13. Let m be (-1)/(2/(-18) - 0). What is the remainder when b(m) is divided by 17?
16
Suppose 6*g = 5*g + 54. Suppose -l = -4*l + g. Calculate the remainder when 33 is divided by l.
15
Let l(c) = 43*c**2 + 1. Let n be l(1). Suppose 2*b - 16 = n. Calculate the remainder when b is divided by 11.
8
Calculate the remainder when (62/8)/(1/16) is divided by 21.
19
Suppose 5*x - 120 - 165 = 0. Suppose -2 = -c + 2*c. Let u = 17 + c. Calculate the remainder when x is divided by u.
12
Calculate the remainder when 0 + -10*(-1 - 0) is divided by (1/(-1))/(2/(-6)).
1
Suppose 57*h = 53*h + 360. Calculate the remainder when h is divided by 24.
18
Suppose 4*h = t + 22, -4*t = 5*h - 0*t - 38. Suppose 4*i - 6*i = 26. Let r = -2 - i. What is the remainder when r is divided by h?
5
Suppose 11*u = 10*u + 62. What is the remainder when u is divided by 16?
14
Let o = 11 + -8. Suppose -3*g - 4*d = 0, -g - 4*d + 4 = o*g. What is the remainder when 18 is divided by g + -3 - 18/(-2)?
8
Suppose 2*o = 1 + 5. Suppose o*s + 2*s = 45. What is the remainder when 43 is divided by s?
7
Suppose -5*p = y - 2*y + 24, 4*p = -16. Suppose 0 = -0*m + y*m + 3*t - 38, 5*m = -4*t + 47. What is the remainder when (-1)/(-4) - (-246)/8 is divided by m?
9
Suppose -2*h - 4*w + 140 = 0, 3*w - 75 = 2*h - 3*h. Let n = h - 32. What is the remainder when n is divided by 15?
13
Let t be ((-10)/6)/((-4)/12). Let p = t + -7. What is the remainder when 17 is divided by ((-1)/2)/(p/24)?
5
Let a(f) be the first derivative of f**3/3 - 3*f**2/2 - 12*f - 9. What is the remainder when a(-8) is divided by 20?
16
Let x(n) = -n**3 + n**2. Let y be x(0). Suppose -3*v + 2*z + 118 = y, v - 2*v + 40 = -z. Suppose -12 + v = 2*k. Calculate the remainder when 37 is divided by k.
11
Let b = -25 + 35. What is the remainder when 67 is divided by b?
7
Suppose 3 = -0*w - w. What is the remainder when 52 is divided by (-1 - w - -17) + -1?
16
Let l = -85 + 95. What is the remainder when 36 is divided by l?
6
Let d = -1 + 7. Let i = -19 - -11. What is the remainder when d is divided by (-18)/(-4) + 4/i?
2
Let v(i) = 5*i**3 - 4*i**2 + i - 4. Suppose h = 2, 2*s + 2*h - 37 = s. Calculate the remainder when v(3) is divided by s.
32
Let r(h) = h + 10. What is the remainder when 5 is divided by r(-7)?
2
Let g(c) = 11*c - 2. Suppose -2*o = 3*l + 7, 0 = -5*l + 2*o - 5*o - 10. What is the remainder when 24 is divided by g(l)?
6
Suppose 4*c + m + 0*m = 13, -2*c + 3*m - 11 = 0. Calculate the remainder when 9 is divided by (1 - (-1 + c)) + 6.
3
Calculate the remainder when 17 is divided by 20/(1 + 3*1/3).
7
Let g = -32 - -45. Calculate the remainder when 24 is divided by g.
11
Suppose 34 = 5*g + 9. Let x(p) = p**2 - 4*p + 1. Calculate the remainder when 22 is divided by x(g).
4
Let f(j) be the first derivative of -j**4/4 - 2*j**3 + 3*j**2 + 5*j - 1. Calculate the remainder when 6/21 - 1180/(-35) is divided by f(-7).
10
Let o(j) = j**3 - 7*j**2 + 8*j - 2. Calculate the remainder when 29 is divided by o(6).
9
Let k be 1 + 1/((-3)/(-444)). Let w be (-1)/(-3) + k/3. Let q = 1 + w. What is the remainder when q is divided by 18?
15
Let f(v) = v**2 + 10*v + 1. Let i = 19 + -27. Let j be f(i). Calculate the remainder when 44 is divided by 3/j + 116/5.
21
Let f be (-5)/(-5) - 14*1. Let k = 11 - -18. What is the remainder when k is divided by (-3)/((-2)/(-2)) - f?
9
Calculate the remainder when (-24)/40 + (-328)/(-5) is divided by 17.
14
Let p = 42 - 29. Calculate the remainder when 38 is divided by p.
12
Let d = 45 - 32. Calculate the remainder when 37 is divided by d.
11
Let b = -5 + 9. Suppose -s - b*z - 12 = 0, -2*s + z + 2*z = -9. Suppose -k + 7 = -s. What is the remainder when 13 is divided by k?
6
Let u(a) = -a**3 + 9*a**2 + 12*a + 9. Let h(g) = -g**3 + 9*g**2 + 13*g + 10. Let k(j) = -2*h(j) + 3*u(j). What is the remainder when 13 is divided by k(10)?
6
Let z(v) = 2*v - 2 - v - 3 + 0. Let m be z(0). Let f = m - -17. What is the remainder when 34 is divided by f?
10
Let v(n) = -2*n + 4. Let a be (-2)/6 + 1263/9. Suppose k = 5*k - a. Calculate the remainder when k is divided by v(-4).
11
Suppose 2*s = 3*s + 4*o + 22, 64 = -5*s + 3*o. Let y = 22 + s. What is the remainder when 30 is divided by y?
6
Suppose 7*l - 3*l = 60. What is the remainder when l is divided by 4?
3
Let b be 25 + 3 + -2 - 2. What is the remainder when 69 is divided by (b/7)/(5/35)?
21
Let g(x) be the first derivative of x**4/4 + 2*x**3 + 2*x**2 + 3. What is the remainder when 46 is divided by g(-4)?
14
Let c = 15 - 8. Let a(y) = 5*y**2 + 0 - 5 - 3*y**2 + 6*y - y**2. Calculate the remainder when a(-8) is divided by c.
4
Let s(o) = -5*o + 6. Let n be s(4). What is the remainder when (54/(-21))/(2/n) is divided by 10?
8
Suppose 21 = 3*m - 3*k, 4*m - k - 7 - 18 = 0. Suppose -h = h - 22. Calculate the remainder when h is divided by m.
5
Let o(x) = x**3 + x**2 + x - 2. Let j be o(0). Calculate the remainder when (-2)/4*19*j is divided by 10.
9
Let b(j) = -2*j**2 + 2*j + 3. Let u be b(3). Suppose -3*v + 73 = -4*m, -2*m - v - 28 = 11. Let i = u - m. What is the remainder when 28 is divided by i?
8
Suppose -t + v - 4*v = 19, 0 = t + v + 9. Let l = 272 - 560. Calculate the remainder when ((-2)/t)/((-3)/l) is divided by 25.
23
What is the remainder when (4 - 21/6)*(157 - -1) is divided by 9?
7
Let x be (12/10)/(6/(-40)). Let k = 11 + x. Calculate the remainder when 6 is divided by k.
0
Let m = -16 + 21. Suppose -3*w + 110 = -g, -m*g = 5*w - 0*g - 190. What is the remainder when w is divided by ((-57)/6)/(1/(-2))?
18
Suppose -4*m + 6 = -6*o + o, 5*o - 14 = -m. Suppose m*d - a = 195 - 37, 0 = -4*a - 8. What is the remainder when d is divided by 14?
11
Suppose -6*w - 105 = -11*w. Calculate the remainder when 60 is divided by w.
18
Let y(b) = -115*b**3 - b**2 + b + 1. Let v be y(-1). Suppose -2*l = -5*l + v. What is the remainder when l is divided by -1 + (-3)/(6/(-28))?
12
Suppose -4*i = 11 - 171. Suppose i = 3*u + 7. Suppose -2*n - 12 = -5*n. Calculate the remainder when u is divided by n.
3
Let z(u) = u + 22. Let t(i) = -5*i**3 - i**2 - 2*i - 1. Let m be t(-1). Suppose 3*p - m*p = 0. Calculate the remainder when z(p) is divided by 8.
6
Calculate the remainder when 2 + 12*(0 + 2) is divided by (-152)/(-11) + (-10)/(-55).
12
Suppose -5*b = -6*f + 5*f - 78, 4*b + f - 57 = 0. Calculate the remainder when (7/(-1))/((-1)/4) is divided by b.
13
Calculate the remainder when 2 is divided by (10/(-30))/(2/(-6)).
0
Let i be 6*5/(-10) + 19. Let j(x) = -x**3 + 3*x**2 + 6*x - 3. Let k be j(4). Suppose -3*g + k*g - i = 0. Calculate the remainder when 23 i