l.
20
Suppose -4*l + 34 = 2*k, 3*k - k - 22 = -2*l. Let w be 63/(-18) - (-2)/4. Calculate the remainder when 20 + w/(3/4) is divided by l.
4
Let d(t) = t**3 + 10*t**2 - 4. What is the remainder when d(-9) is divided by 20?
17
Suppose 0 = 5*b - 47 + 17. Suppose 4*z - 4 = 2*h, 0*h - 3*h - b = -5*z. Calculate the remainder when 31 is divided by (1*-1)/(h/22).
9
Let l = -277 - -473. Calculate the remainder when l is divided by 50.
46
Suppose 3*k - 25 = -2*k. Suppose -m - 4*w - 1 = 5, m - 3*w - 8 = 0. Let o = k + m. Calculate the remainder when 26 is divided by o.
5
Suppose l + r - 14 = 0, -5*l + 5*r + 28 = -22. What is the remainder when 33 is divided by l?
9
Let r(y) = y**3 - 6*y**2 + 2*y + 2. Let a be r(6). Suppose -3*s = 4*d - 64, 2 = -3*s + a. What is the remainder when 25 is divided by d?
12
Let g(y) = -y**3 - 6*y**2 + 15*y + 28. What is the remainder when g(-8) is divided by 11?
3
Let n(g) = 61*g**2 + 2*g + 3. Calculate the remainder when n(-1) is divided by 32.
30
Let w(n) = n**3 - 2 + 9*n + 11*n**2 - 4 + n**2 - n**2. What is the remainder when 6 is divided by w(-10)?
2
Suppose -6 = t - 4*t. Suppose -3*q = -l + 16, 0*q + t = -q. What is the remainder when (76/(-8))/(1/(-2)) is divided by l?
9
Let w(d) = 10*d - 5. Let g be w(3). Suppose -g = -4*h + 2*j - 3*j, -j - 29 = -5*h. What is the remainder when h is divided by 4?
2
Let o(g) = -2*g**2 - 24*g - 9. What is the remainder when 231 is divided by o(-11)?
10
Let u = 38 - 8. Suppose -i + u = 2*i. Let k(f) = 5*f - 2. Calculate the remainder when k(6) is divided by i.
8
What is the remainder when (-62)/(-4) - (-9)/6 is divided by 4?
1
Suppose 0*b - b + 11 = 0. What is the remainder when 42 is divided by b?
9
Suppose 3*k + 2*n = 134, 3*k - 139 = -3*n + 2*n. What is the remainder when k is divided by 17?
14
Let c = -113 + 195. What is the remainder when c is divided by 28?
26
Let o be (18/8)/((-18)/96). Calculate the remainder when (o/(-3) - 3)*29 is divided by 15.
14
Let f(u) = 14*u**2. Let j be (-4 - -3)*2/2. What is the remainder when 40 is divided by f(j)?
12
Suppose 4*b + 2 = -0*x - 2*x, -x - 9 = 4*b. Let v(g) = -6*g - 16. What is the remainder when x is divided by v(-3)?
1
Let c = -15 - -22. What is the remainder when c is divided by 5?
2
Suppose -23 = -i + 14. What is the remainder when i is divided by 20?
17
Let a = 1 - 1. Suppose a = -2*d - p + 10, -3*p + 8*p = -3*d + 15. Suppose -d*k = -3*k - 46. Calculate the remainder when k is divided by 8.
7
Suppose 6 = 4*y - 3*x, 5*y - 2*x - 14 = -3. Let c(p) = 5*p**2 + 3*p - 1 + y + 1. Calculate the remainder when c(-2) is divided by 6.
5
Suppose -2*c + j = -28, -c + 6*j = 2*j - 21. Suppose -h + 3*k + c = 0, -h - 14 = -3*h + 3*k. Calculate the remainder when (13/(-2) + h)*-2 is divided by 7.
4
Suppose 15 = p - 2. What is the remainder when (-11 - -12)/((-2)/(-132)) is divided by p?
15
Suppose 2*m - 2*p = -38, 4*p + 84 = -5*m - 56. Let s = -3 + 2. Calculate the remainder when 23 is divided by s/((-46)/m + -2).
11
Suppose 5*i + 423 = 53. What is the remainder when 17 is divided by (-10)/35 - i/14?
2
Let d(j) = -j**3 - 15*j**2 - 14*j + 3. Let q(n) = n**2 - 11*n + 4. Let a be q(9). Calculate the remainder when 9 is divided by d(a).
0
Let z = 56 + -42. Calculate the remainder when 96 is divided by z.
12
Suppose -2*v = -3*b - 21 - 60, 192 = 4*v + 4*b. What is the remainder when v is divided by 16?
13
Suppose -l - 1 = 3, l - 20 = -3*r. Calculate the remainder when r is divided by 4.
0
Suppose -3*s + s - 2*p + 2 = 0, 4 = s - 2*p. Suppose 4*w - 28 = 4*b - 0*b, 2*b = -2*w + 14. Calculate the remainder when w is divided by s.
1
Let y = -30 + 50. What is the remainder when y is divided by 29/4 - 2/8?
6
Let p = -90 - -99. Calculate the remainder when 26 is divided by p.
8
Let j = 15 - 14. Suppose -4*z + 148 = 2*u, -2*u = 3*u + 4*z - 376. What is the remainder when u is divided by (26/(-5))/(j/(-5))?
24
Let l(j) = -j**2 - j + 14. Let o(b) = -b + 7. Let x be o(-6). Let p = x + -8. Calculate the remainder when l(0) is divided by p.
4
Suppose -5*t + 40 = 4*f, -2*f - 16 = -2*t + 2*f. Calculate the remainder when t is divided by 5.
3
Let i(f) be the third derivative of f**5/60 + 5*f**4/24 - f**3/6 - 2*f**2. Suppose 3*n + 65 = 8*n. Calculate the remainder when n is divided by i(-6).
3
Suppose -2*c - g + 69 = 0, 5*c = c - g + 133. What is the remainder when 125 is divided by c?
29
Let w(v) = v**3 + 9*v**2 + 6*v + 2. What is the remainder when w(-4) is divided by 30?
28
Let w(y) = -12*y - 1. What is the remainder when 30 is divided by w(-1)?
8
Let x be (-3)/(-6)*(1 - 1). Suppose 4*p - 2*p = 10. Suppose -p*a - 9 = -8*a + 4*f, a + 3*f - 3 = x. Calculate the remainder when a is divided by 2.
1
Let o(l) be the second derivative of -l**3/2 - 3*l**2/2 + l. Calculate the remainder when 71 is divided by o(-7).
17
Suppose -1045 = -11*y - 22. Suppose w + 32 = 2*w. What is the remainder when y is divided by w?
29
Let o = 4 - -17. Calculate the remainder when o is divided by 6.
3
Suppose 2*b + 16 = -0*b. Let y(i) = -i**2 - 11*i - 20. Calculate the remainder when 13 is divided by y(b).
1
Let m = -16 + 7. Let c be 0/(m/(-3)) - -12. Suppose -4*l = -c - 32. What is the remainder when 21 is divided by l?
10
Let k(q) = -q - 6. Calculate the remainder when k(-15) is divided by 2.
1
Suppose -a = -7*k + 2*k + 330, 62 = k - a. What is the remainder when k is divided by 17?
16
Let a(q) = q**3 + 7*q**2 + 4*q - 6. What is the remainder when 23 is divided by a(-6)?
5
Let p = 2 - 1. Suppose 3*i + 0*i = 0. Suppose -3*s = 3*n - 9, -2*s = -4*n - i*s + 6. Calculate the remainder when n is divided by p.
0
Suppose 4*x = -h + 439, -x + h - 73 = -184. What is the remainder when x is divided by 37?
36
Let f = -27 - -34. Calculate the remainder when 32 is divided by f.
4
Suppose 2*s - 4*u = 34, 136 - 23 = 5*s + 4*u. What is the remainder when s is divided by 12?
9
Let z(i) = 3*i + 8. Let b(k) = 20*k + 52. Let p(r) = -5*b(r) + 32*z(r). Let a be p(-6). Let v = a - 8. Calculate the remainder when 35 is divided by v.
11
Let u = -2 - -4. Suppose 3*b + 3 = 4*k, b + 3 = u*k - 0*b. Suppose k*n + n - 64 = 0. Calculate the remainder when n is divided by 6.
4
Let b(p) = 20*p - 44. What is the remainder when b(4) is divided by 21?
15
Let f be (-2 - (4 - 2))*-1. Suppose 5*y - 5 = -3*w, 0*w - f*w + y = -22. What is the remainder when 10 + 1/2*-2 is divided by w?
4
Let x(u) = u**2 - 7*u - 8. Let i be x(8). Suppose i = s + 5 - 3. What is the remainder when (1 - (-4)/s)*-7 is divided by 3?
1
Let a = -46 - -109. Calculate the remainder when a is divided by (32/10)/((-17)/(-85)).
15
Suppose -2*k + q + 19 = -0*k, -4*q = -3*k + 31. Suppose 0 = -2*z - 2*y + 9 + 1, -5*z + 4*y = -34. Calculate the remainder when 3*3/k + 15 is divided by z.
4
Suppose -2*u = u + 90. Calculate the remainder when (-81)/(-15) - (-12)/u is divided by 5.
0
Suppose -2*u - z + 53 = 0, 2 = 2*z - 0. What is the remainder when 50 is divided by u?
24
Let i = -31 + 43. Let z(n) = -n**2 + 19*n - 15. What is the remainder when z(i) is divided by 18?
15
Suppose -l = 3*l - 204. Suppose -2*h + l = h. Suppose -63 = -4*y + 69. What is the remainder when y is divided by h?
16
Let w be (-4)/6 + 26/3. Suppose -13 = -3*u + w. Calculate the remainder when 27 is divided by u.
6
Let s be (-1 + 3)/((-5)/20). Let c = 11 + s. Suppose c*x = 141 + 57. What is the remainder when x is divided by 17?
15
Let w = -6 + 15. Let a(x) = x**3 - 8*x**2 - 8*x + 13. Suppose 6 = p - 0*p + 2*g, 2*p + 2*g = 18. What is the remainder when a(w) is divided by p?
10
Let s(a) = a**2 + 5*a + 4. Let h be s(-4). Suppose -3*u - 11 = -f, 3*f + h*f - 2*u - 26 = 0. Calculate the remainder when 14 is divided by f.
6
Calculate the remainder when 28 is divided by (-253)/(-33) + (-2)/(-6).
4
Let g(p) be the first derivative of -p**2 - 4*p - 3. Let s be g(-3). Suppose -3*j - h + 11 = -0*j, s*h = 4. Calculate the remainder when 8 is divided by j.
2
Let t(y) = 10 + 2 - 3 + y. Let g(l) = 6*l - 1. What is the remainder when g(1) is divided by t(-6)?
2
Let m(k) = 3*k - 34. What is the remainder when m(14) is divided by (5/2)/(2/4)?
3
Let n(x) = -2*x**3 - x**2 + 2. Let l be n(2). Let f = l - -45. Calculate the remainder when 51 is divided by f.
24
Let c(f) = -f**3 + 7*f**2 - 3*f - 4. Let o be 12/(-7)*(-7)/2. Let