e remainder when 1/(-4) - 10/k is divided by 1?
0
Suppose -r = -2*r + 5. Suppose 12 = 5*c + 2. Calculate the remainder when r is divided by c.
1
Suppose 6*z - z + 23 = a, 4*a = z + 16. Let q(b) = 23*b + 6. Let y(i) = 15*i + 4. Let u(d) = 5*q(d) - 8*y(d). What is the remainder when 34 is divided by u(z)?
16
Suppose 9*p - 7*p - 2*v - 32 = 0, 3*p - 68 = -v. What is the remainder when 76 is divided by p?
13
Let v(o) be the third derivative of o**6/60 - o**5/12 - 2*o**3/3 + o**2. Calculate the remainder when v(4) is divided by 23.
21
Suppose 0 = 5*q + 4*q - 234. Suppose 4*k - 24 = -5*c + 3*c, -4*k + 22 = 3*c. Calculate the remainder when q is divided by k.
5
Suppose -4*d + 70 + 6 = 0. What is the remainder when d is divided by (-4)/(-14) - (0 + (-300)/28)?
8
Let q(y) = 2*y - 3*y + 12 + 4*y - 4*y. Let i be q(9). Suppose h = -0*h - 1, 0 = 3*n - i*h - 42. Calculate the remainder when 25 is divided by n.
12
Let y = -1 - -2. Suppose 7*k - 25 = 2*k. What is the remainder when k - (9/(-3) + 7) is divided by y?
0
Let u(d) = 8*d**2 + 41*d - 2. Calculate the remainder when 197 is divided by u(-6).
37
Let c = -1 - -3. Suppose -645 = -4*y + c*n - 137, -n + 258 = 2*y. Suppose -3*b - y = -5*b. What is the remainder when b is divided by 22?
20
Suppose -2*m + 2 + 2 = 2*k, m - 8 = -3*k. Suppose 0*g = -k*g + 33. What is the remainder when g is divided by 6?
5
Let d(h) = -5*h + 5. Let a = 34 - 21. What is the remainder when d(-9) is divided by a?
11
Let v(p) = -p + 3*p - p + p**2 - 6*p**3 + 5*p**3 + 53. What is the remainder when v(0) is divided by 14?
11
Suppose 2*b + 150 = 5*b. Let v be ((-1)/(-2))/((-5)/b). Calculate the remainder when (-2)/v - (-390)/25 is divided by 6.
4
Let t(m) = 9*m**2 + 2*m + 1. Let c(s) = s**2 - 9*s - 8. Let y be c(10). What is the remainder when t(y) is divided by 14?
13
Let a = 180 - 161. Let b(w) = 4*w + 4 - w + 3*w**2 + w. What is the remainder when b(-4) is divided by a?
17
Let v(z) be the third derivative of z**4/4 + 5*z**3/6 + z**2. Let u be v(8). Let m = 74 - u. What is the remainder when m is divided by 11?
10
Suppose d - 4*n = -4*d + 83, d - n = 17. Calculate the remainder when 27 is divided by d.
12
Suppose -2*d - 9 = -0*d + 5*l, -d + 3*l = -12. Calculate the remainder when 288/(-54)*9/(-4) is divided by d.
0
Let b = 31 - 13. What is the remainder when 35 is divided by b?
17
Suppose -11*d + 450 = 7*d. What is the remainder when d is divided by 4?
1
Suppose 0 = -2*g - w + 28, -g + 60 = 4*g + 5*w. Calculate the remainder when 47 is divided by g.
15
Suppose 0 = -m + 93 - 86. Calculate the remainder when 19 is divided by m.
5
Let v = 900 + -616. Suppose 8*j - 3*j = 420. Suppose 4*y - v = -j. What is the remainder when y is divided by 17?
16
Suppose 6*d - 32 = 4*d. What is the remainder when 42 is divided by d?
10
Suppose -6*t + 9*t - 276 = 0. Calculate the remainder when t is divided by 48.
44
Suppose -9 - 6 = -3*x. What is the remainder when (22/55)/((-2)/(-70)) is divided by x?
4
Let k = 12 + -7. Suppose -5 = -5*z, -2*v - 39 = -7*v + z. Calculate the remainder when v is divided by k.
3
Let h(x) = -x**3 - 10*x**2 - 10*x + 4. What is the remainder when 51 is divided by h(-9)?
12
Suppose 5 = -9*w + 374. Calculate the remainder when 154 is divided by w.
31
Let x be (3/(-6))/(1/(-2)). Suppose -5*t + 16 = 2*g, 5*g + x = -t - 5. What is the remainder when (-9 + -1)*(-1)/1 is divided by t?
2
Let o = -2 + 1. Let g(h) = -h**2 + 6*h - 4. Let a be g(6). Calculate the remainder when 12 is divided by 2 + (o - a) + 2.
5
Suppose -i + 4*v + 5 = -2, 5*i + 3*v - 58 = 0. Calculate the remainder when 108 is divided by i.
9
Let a = -4 - -18. What is the remainder when 50 is divided by a?
8
Let b = 24 + -11. Calculate the remainder when 0*1/1 + 38 is divided by b.
12
Let d(x) = x**3 + x**2 - x + 48. What is the remainder when d(0) is divided by 17?
14
Suppose 42 = -i + 5*i - 2*v, -10 = -2*v. What is the remainder when 23 is divided by i?
10
Calculate the remainder when 137 is divided by (-696)/(-20) + 2/10.
32
Calculate the remainder when 47 is divided by 2 - -3*10/6.
5
What is the remainder when 1572/10*(9 - 143/22) is divided by 36?
33
Let f = 7 - 5. Let u be (1 - -1)/(f/4). Suppose -5*s = 2*x - 73, 3*x + 9*s = u*s + 117. What is the remainder when x is divided by 15?
14
Let p(b) = -b**3 + 4*b**2 - 2*b - 1. Let s be p(2). Let g(l) = -l + 5*l - l**2 + 3*l**2. What is the remainder when g(s) is divided by 16?
14
Let w be 14/(-4) - 2/(-4). Calculate the remainder when 22/(2*w/(-6)) is divided by 8.
6
Let l(h) = h**3 + 9*h**2 + 6. Let d be l(-9). Let u = d + -2. What is the remainder when 5 is divided by u?
1
Let u = 134 + -124. What is the remainder when 30 is divided by u?
0
Let m(b) = b**3 - 2*b**2 + 2. What is the remainder when m(3) is divided by 3*3/(9/6)?
5
Let l(t) = t**3 - 9*t**2 + t - 10. Let i be l(9). Calculate the remainder when 21 - (4 + (i - 1)) is divided by 10.
9
Suppose 2 = 3*b - 4*b. Let k = b - -5. Calculate the remainder when 8 is divided by k.
2
Let y = -85 - -124. What is the remainder when 149 is divided by y?
32
Let r be (-1)/(-2 - -3) - 4. Let y(z) = z + 6. Calculate the remainder when 3 is divided by y(r).
0
Suppose 4*z - 26 = -2*c + 3*z, -3*z = -12. What is the remainder when 20 is divided by c?
9
Let l = 50 - 41. Calculate the remainder when l is divided by 8.
1
Let m(v) = -10*v + 1. Calculate the remainder when 39 is divided by m(-1).
6
Suppose -m = 2*i + i - 12, 3*i = 4*m - 3. Suppose -22 = -m*v + v. Calculate the remainder when v is divided by 5.
1
Let v = -5 + 3. Let n be (-14)/((v/3)/1). Suppose -5*u = -4*u - n. What is the remainder when 60 is divided by u?
18
Suppose 2*h - 4 = 0, -4*y + 20 = -h - h. Calculate the remainder when 51 is divided by y.
3
Calculate the remainder when 22 is divided by (-40)/12*3/(-2).
2
Let w(l) = l**2 - 4*l - 10. Calculate the remainder when 43 is divided by w(-4).
21
Let b(q) = -q**3 - 7*q**2 + 12*q - 20. Let o = -19 + 31. Calculate the remainder when b(-9) is divided by o.
10
Suppose 8*i - 8 - 48 = 0. What is the remainder when 23 is divided by i?
2
Let d = 13 - 23. Let c = 0 - d. Let j(a) = -a**2 - 2*a + 7. What is the remainder when c is divided by j(-3)?
2
Suppose -5*c - 2*b + 4*b + 35 = 0, b + 5 = 0. Suppose -c*x - 2*v = -152, -2*x + 2*v = 4*v - 62. Calculate the remainder when 117 is divided by x.
27
Let l(c) = -6*c - 5. What is the remainder when l(-2) is divided by 3?
1
Calculate the remainder when (2/(-4))/((-1)/(-126))*-1 is divided by 23.
17
Let k(w) = 3*w + 4. What is the remainder when 2 - (1 + 2) - -38 is divided by k(5)?
18
Suppose 2*v - 2*o = 718, -5*v + 1803 = -5*o + 4*o. Let r = v - 198. Suppose 5*h - 43 = 5*x - r, -88 = -3*x - h. Calculate the remainder when x is divided by 15.
13
Suppose -8 = 5*i + 4*h, -3*h = -5*i - 0*h + 6. Suppose i = u + u. Suppose -28 = -x - u*x. What is the remainder when x is divided by 15?
13
Let f(u) = 4*u**3 - 1. Let p be f(1). Suppose -p*z = -7*z + 16. What is the remainder when 9 is divided by z?
1
Suppose -u - u + 46 = 0. What is the remainder when 89 is divided by u?
20
Suppose 0 = 8*d - 3*d - 20. Let s be (-16)/(-7) - d/14. Suppose -s = -h + 7. Calculate the remainder when 17 is divided by h.
8
Suppose r + 0*r - 64 = 0. What is the remainder when r is divided by 22?
20
Suppose 7*n = 3*a + 2*n + 3, 4*n = -a + 16. Suppose 0 = -4*g - a*u + 172, -2*g + 24 = -5*u - 27. What is the remainder when 1*2 + (g - 2) is divided by 13?
12
Let w(g) = 39*g. What is the remainder when w(2) is divided by 20?
18
Suppose -42 = -c + 37. Calculate the remainder when c is divided by 20.
19
Let o = -158 - -240. Let i = o + -59. What is the remainder when i is divided by 8?
7
Let j(d) = -2*d**2 - 44*d - 20. Calculate the remainder when 87 is divided by j(-21).
21
Let c = -8 + 17. Calculate the remainder when c is divided by 4.
1
Let g be 147 + 1 + 2/(-2). Suppose -4*n + 145 = -g. Suppose -4*h = -c + 28, h = -3*c + 6*c - n. Calculate the remainder when c is divided by 13.
11
Let m be (-2)/(-3)*195/10. Suppose 3*r = m + 98. Suppose -25 = -2*p + 1. Calculate the remainder when r is divided by p.
11
Let v = 30 + -18. Suppose -5*c - 3*d = -103, -2*c + 6*d + 50 = 5*d. Calculate the remainder when c is divided by v.
11
Suppose 0 = -3*b + 14*b - 495. What is the remain