emainder when ((-1)/(-3))/(2/78) is divided by k?
1
Let y(i) = i**2 - i + 5. Suppose -5*p + 28 = 2*l, -4*l - 4 = 4*p - 36. Let d(m) = 2*m**2 - 5*m + 1. What is the remainder when y(-4) is divided by d(p)?
12
Let h(f) = f**2 - 6 - 2*f**2 - 3*f - 3*f**2 - f**3. Let u = 57 + -41. Calculate the remainder when u is divided by h(-4).
4
Let q = -183 - -365. What is the remainder when q is divided by 46?
44
Let x(i) = 2*i**2 - 16*i + 22. What is the remainder when 29 is divided by x(7)?
5
Suppose 0 = 5*b - 12 + 37, 3*b = x - 17. Let y = -2 + 7. Suppose 5*i - x*i + y*j = 147, 0 = -3*i + 2*j + 147. What is the remainder when i is divided by 17?
15
Let r be -1 + -2 + 4 + -2. Calculate the remainder when 220/5 + 2 + r is divided by 16.
13
Let x = -4 - -4. Let v = 5 + x. Suppose 7*q - v*g - 185 = 2*q, 5*g - 165 = -5*q. What is the remainder when q is divided by 12?
11
Let f(r) = 2*r**3 - 17*r**2 + 11*r - 10. Calculate the remainder when f(8) is divided by 6.
2
Suppose 0 = -2*a - 0*a - 5*l + 70, 0 = -2*a + 5*l + 50. What is the remainder when a is divided by 11?
8
Suppose r + 3*o = -4*r + 265, 225 = 5*r - 5*o. Calculate the remainder when r is divided by 29.
21
Let a(k) = -15*k - 6. Let j be a(-4). Suppose n - 4*i - j = 0, 54 = n + 5*i + 9. Calculate the remainder when n is divided by 17.
16
Let z(v) = v**2 + 3*v - 4. Let u be z(-3). Let n(x) = -x + 2. What is the remainder when 2*17*(-2)/u is divided by n(-7)?
8
Let d(h) = -h**2 + h + 14. Suppose 0*j = j + 3. What is the remainder when ((-8)/(-6))/(j/(-90)) is divided by d(0)?
12
Calculate the remainder when ((16/(-3))/4)/(3/(-117)) is divided by 31.
21
Let w(s) = -s**3 + 9*s**2 - 16*s + 7. Calculate the remainder when 35 is divided by w(6).
16
Suppose -l - l - 2*b + 10 = 0, -1 = -l + 3*b. Suppose -3*q - l = -2*q. Let v(i) = i + 9. What is the remainder when 14 is divided by v(q)?
4
Let z(o) = o**2 - 11*o + 10. Let i be z(10). Let w(v) = -v**2 + v + 31. Calculate the remainder when w(i) is divided by 11.
9
Suppose m - 20 = -3*m, -5*d + 60 = 4*m. Calculate the remainder when d is divided by 3.
2
Let t = 7 + -6. What is the remainder when (46/t)/1 + -3 is divided by 15?
13
Suppose -41 + 1 = -4*i - 5*o, i = -5*o + 10. Suppose 5*r = 3*a - 7*a + 45, 3*a - r = i. What is the remainder when 9 is divided by a?
4
Suppose 3*i - 70 = -5*o, -3*o + 24 = 3*i - 24. Let w(h) = -11*h - 34. Calculate the remainder when w(-7) is divided by o.
10
Suppose x + 20 = -5*f, -2*x + 2*f - 3 = -11. Suppose 5*t - 8 = q + 22, x = 4*t - 2*q - 18. Let l = 26 + t. Calculate the remainder when l is divided by 17.
16
Let n(l) = 5*l**2 + 3*l + 2. Suppose -2*p - 14 = 3*o, 4*o - 3*p = o + 6. Let d = 9 + -3. What is the remainder when n(o) is divided by d?
4
Calculate the remainder when (5/2)/(4*(-5)/(-1000)) is divided by 32.
29
Let j(r) = 7*r**3 - 12*r**2 - 2*r - 9. Let n(u) = -8*u**3 + 13*u**2 + 3*u + 9. Let k(p) = -7*j(p) - 6*n(p). What is the remainder when k(4) is divided by 14?
11
Suppose -2*z + 77 = z + 5*h, 0 = -5*z - 2*h + 103. Calculate the remainder when 73 is divided by z.
16
Let a = -39 + 55. Calculate the remainder when 62 is divided by a.
14
What is the remainder when (-2 + -55)*(-6)/6 is divided by 30?
27
Let l(x) = 3*x - 6. Suppose 205 = 4*f + 45. Suppose 3*v = -v + f. What is the remainder when l(v) is divided by 13?
11
Let p(y) = y**2 - 30*y + 43. Calculate the remainder when p(29) is divided by 8.
6
Let p(b) = b - 10. Suppose -11 - 3 = -2*x. Let u be p(x). Let h = u + 11. Calculate the remainder when 15 is divided by h.
7
Suppose 4*v + 3 = 5*v. Suppose 10 = 2*n + 2. Suppose 0 = n*f + 6*z - z - 13, f + v = 5*z. Calculate the remainder when 3 is divided by f.
1
Suppose -3*v = -v - 4. Let d(n) = 8*n + 4 + n**v + 0*n**2 - 18. What is the remainder when 16 is divided by d(-10)?
4
Suppose 0 = 5*t - 4*j, -t - j = 4*t. Suppose 4*h - 3*h + 2*g = 90, -3*h + 3*g + 279 = t. Let v = 157 - h. What is the remainder when v is divided by 22?
21
Let s(h) = -h**3 + 15*h**2 - 12*h - 18. Let w = 10 + -6. What is the remainder when s(14) is divided by w?
2
Let z = -32 + 48. Let y(g) = -g**3 + 12*g**2 + 13*g + 6. What is the remainder when z is divided by y(13)?
4
Let c(v) = v**2 + 13*v - 14. What is the remainder when 63 is divided by c(-15)?
15
Let h(v) = v**2 - 15*v + 24. What is the remainder when h(21) is divided by 38?
36
Suppose 4*h = 5*i - 0*h + 12, i = -h + 3. Calculate the remainder when i - (-2 + 3 + -20) is divided by 5.
4
Let o(s) = 5*s + 2. Let c be o(-5). Calculate the remainder when 44 is divided by (c/(-3))/(1/3).
21
Let q = -56 - -97. Let s = 55 - 33. Calculate the remainder when q is divided by s.
19
Suppose 5 = -2*c - 7. Let h(l) = l**3 + 6*l**2 + 2. Calculate the remainder when 4 is divided by h(c).
0
Let o = -11 + 34. Let c(t) = t**2 - 5*t + 2. What is the remainder when o is divided by c(6)?
7
Let w(p) = 9 + 2*p - p**2 + 11*p - 5*p. What is the remainder when 30 is divided by w(7)?
14
Let u = -10 + 35. Calculate the remainder when u is divided by (-1*2)/(2/(-9)).
7
What is the remainder when 44 is divided by (12/9)/((-8)/(-72))?
8
Let g = -54 + 56. Calculate the remainder when g is divided by 2.
0
Suppose -p = 2*p - 9. Suppose -j = p*j. Suppose -53 = -4*m - 3*w - j*w, 2*m - 33 = 5*w. Calculate the remainder when 40 is divided by m.
12
Suppose -r - 25 = -2*r. Let d = -45 - -143. Calculate the remainder when d is divided by r.
23
Suppose 0 = o + 4*t - 14, 2*t - 19 = -2*o - 3*t. Suppose -o*h + 60 + 40 = 0. Calculate the remainder when h is divided by 13.
11
Let f(j) = j**2 - 5 + j**2 - j - 3*j**2 + j**3. Let b be f(0). Calculate the remainder when 2 is divided by ((-24)/(-30))/((-2)/b).
0
Let u(p) = 2*p**3 - 3*p**2 - 27*p - 27. Let h(w) = w**3 - w**2 - 14*w - 14. Let s(j) = 11*h(j) - 6*u(j). Calculate the remainder when 31 is divided by s(8).
7
Let r(a) = -16*a**2 - 2*a - 1. Let f be r(-1). Let l be (-10)/(-4)*(-18)/f. What is the remainder when 110/3 + 1/l is divided by 13?
11
Let j be -1 + (6 - 0) + -2. Suppose 2*y = -5*g + 11, -5*g + 2*y + 22 - j = 0. Let i(c) = -c + 3. Calculate the remainder when g is divided by i(2).
0
Suppose 2*j - 72 = -a, 4*j - 57 = -a + 5*j. Calculate the remainder when a is divided by 25.
12
Let y = 16 + -10. Calculate the remainder when 15 is divided by y.
3
Let a = -2 - -7. Suppose -a*j - 21 = 4*n + 298, -5*n + 184 = -3*j. Let i = -31 - j. What is the remainder when i is divided by 11?
10
Calculate the remainder when 104 is divided by 117/(-26)*(-28)/6.
20
Let s be (34/3)/(10/15). Let n = s - -3. What is the remainder when 8 is divided by (15/n)/(2/8)?
2
Suppose w = -5*b - w - 10, w + 5 = 0. Suppose 4*o + b = 28. What is the remainder when 12 is divided by o?
5
Let p = 11 + 7. Suppose -4*g - 4 - 16 = 0. Let a = 5 - g. What is the remainder when p is divided by a?
8
Let u(s) = -2*s + 13. Suppose 8 = 2*x + 4*f, 0 = 2*f - 4*f + 4. Calculate the remainder when 37 is divided by u(x).
11
Let s = 2 + -2. Suppose 2*f = -s*f - 18. Let y(x) = -x + 4. Calculate the remainder when y(f) is divided by 4.
1
Suppose -2*g + 8 = 0, i - 4*g = -4*i - 36. Let n(b) = -b - 5. Let j be n(i). Calculate the remainder when 37 is divided by (52/(2*j))/(-2).
11
Suppose 3*x - 3*v = 48 + 66, -4*v = -x + 47. Suppose -p + 90 = 4*p. What is the remainder when x is divided by p?
17
Let v(t) = -5*t + 2. What is the remainder when v(-2) is divided by 5?
2
Let g = 334 - 200. Calculate the remainder when g is divided by 27.
26
Calculate the remainder when (66/9)/(1/3) is divided by 45/7 + (-12)/28 + 0.
4
Suppose 2*f = f. Suppose -32 = 4*o - 3*t, 5*o + f*t = 5*t - 45. Let c(u) = -3*u + 4. Calculate the remainder when c(o) is divided by 10.
9
Let h = -76 - -135. Calculate the remainder when h is divided by 17.
8
Let i(t) = -t - 4. Let u be i(-8). Let o = 5 - u. Calculate the remainder when 18 is divided by (1/(-2))/(o/(-20)).
8
Let j(y) = y**3 - 4*y**2 - 4*y - 2. Let r be 1 + -3 + -1 - -8. What is the remainder when 11 is divided by j(r)?
2
Let f = 271 - 171. Let t = -174 - -108. Let u = f + t. Calculate the remainder when u is divided by 12.
10
Let p(n) = -4*n**2 - 2 - 32*n**3 + 3*n + 31*n**3 + 16*n**2. What is the remainder when p(12) is divided by 12?
10
Suppose 2*v - 10 = -2*g + 6, -2*g + 7 = -v. What is the remainder when 6 is 