 -k**2 + 3*k + 4. Let j be m(4). Let i = j - -3. Suppose -5*r = -7 - 3. Calculate the remainder when i is divided by r.
1
Let z(j) = j**2 - 5*j + 6. Let w be z(4). Suppose w*a + 0*a + 9 = y, -3*y - a + 48 = 0. Calculate the remainder when y is divided by 9.
6
Suppose 0 = -4*a - 3*j + 33, -j = -2*a - 3*j + 14. Let f be (-2)/(-13) + 178/26. Let r(y) = y**2 - y - 8. Calculate the remainder when r(f) is divided by a.
10
Suppose 66 = 3*n + 12. Let t(i) = 2*i + 1. Calculate the remainder when n is divided by t(5).
7
Let i = -3 + 1. Suppose 0*c = -2*c + 86. What is the remainder when c is divided by (i + 1)/((-2)/30)?
13
Suppose 2 = 4*x - 2. What is the remainder when 51 is divided by (1*-26*x)/(-2)?
12
Suppose -2*l = 2*l - 4, -3*z + l = -89. Calculate the remainder when 59 is divided by z.
29
Suppose -3*v = -a + v, -4*v = a - 32. What is the remainder when 73 is divided by a?
9
Suppose 0 = 18*k - 17*k - 10. Calculate the remainder when 19 is divided by k.
9
Suppose -3*p = -3*f + 81, f - 5*f + 5*p + 113 = 0. Let g = 114 - 14. Suppose 0 = 2*x - 28 - g. Calculate the remainder when x is divided by f.
20
Let a = 33 - 12. What is the remainder when 41 is divided by a?
20
Suppose -l - 2 = -2*l. Let p(g) = 6*g**3 + 4*g - 3. Let q(i) = -i + 18. Calculate the remainder when p(l) is divided by q(0).
17
Let v(x) = -x**2 - 5*x. Let s be v(-3). Suppose s*i - 10 = 5*i. Calculate the remainder when i is divided by (-4)/3*9/(-3).
2
Let h(y) = 3 + y**3 + 4*y**2 - 4 + 3 + 4*y. Let t be (2 + -3)/(3/6). What is the remainder when 5 is divided by h(t)?
1
Let v be (-5)/((-10)/(-48))*-1. Suppose -16 - v = -w. What is the remainder when w is divided by 21?
19
Suppose 5*j + 4*d = -84 + 230, 2*j - 3*d - 40 = 0. Let x = j - 16. Calculate the remainder when 28 is divided by x.
8
Suppose 4*s - 84 + 0 = 0. What is the remainder when 30/45*(-123)/(-2) is divided by s?
20
Let m = 34 - -14. Calculate the remainder when 334 is divided by m.
46
Calculate the remainder when 2*(18 + (-3)/(-3)) is divided by 13.
12
Suppose -3*p - 2*z + 131 = 0, -z - 12 = -4*z. What is the remainder when p is divided by 22?
19
Let n = -52 + 63. Suppose 205 = 2*a + 3*a. What is the remainder when a is divided by n?
8
Let b(d) = -3*d + 96. Calculate the remainder when 42 is divided by b(27).
12
Let w = -6 + 11. Let j(x) = x**2. Suppose s = -s + 18. Calculate the remainder when j(w) is divided by s.
7
Let q = -28 - -62. Suppose -i = -2*i + 12. What is the remainder when q is divided by i?
10
Let u(r) = r**3 - 1 - r**2 + 2*r + 5*r**2 - 4*r**2. Calculate the remainder when 31 is divided by u(2).
9
Let i = -21 - -25. Let c(y) = -y**2 + y + 10. Let j(s) = s**2 - 2*s - 11. Let f(n) = -7*c(n) - 6*j(n). What is the remainder when i is divided by f(-6)?
0
Calculate the remainder when (-7378)/(-210) - 4/30 is divided by 18.
17
Suppose 0 = -56*v + 53*v + 51. Calculate the remainder when 203 is divided by v.
16
Let k(g) = 3*g**2 + 3*g. Let i be k(-2). Suppose -5*y = -4*y - 2. Suppose -2*z + i = -y. What is the remainder when 15 is divided by z?
3
Let m = -11 - -7. Let u(o) = o**2 - o + 22. Calculate the remainder when u(0) is divided by -1 - 12/m*3.
6
What is the remainder when 115 is divided by (-459)/(-36) - 1/(-4)?
11
Suppose -2*x + 13 + 9 = -b, 4*b = -16. Let f = -3 + x. Suppose 3*u - 5*j - 42 = 0, 3*u - 3*j = -u + 45. What is the remainder when u is divided by f?
3
Let k(i) = i**2 - 4*i - 2. What is the remainder when k(-5) is divided by 16?
11
Let c(q) be the first derivative of -q**3/3 - 4*q**2 - 7*q - 2. What is the remainder when 8 is divided by c(-6)?
3
What is the remainder when (1 + -2)/((-5)/1220*2) is divided by 31?
29
What is the remainder when 45*(0 - -1) - (2 + 1) is divided by 15?
12
Let x(c) = c**3 + 3*c**2 + c. Let s be x(-2). Suppose 0 = 3*m + s*b - 106, -5*m - 24 + 202 = 3*b. What is the remainder when m is divided by 20?
18
Let c(u) = u**3 - 6*u**2 + 6*u - 12. Let x be c(6). Let p = -5 - -9. Let j = x - p. What is the remainder when 39 is divided by j?
19
Let w(a) = -a**2 + 3*a. Let i be w(8). Calculate the remainder when 39 is divided by i/50 + 74/5.
11
Suppose 3*m - 224 - 187 = 0. What is the remainder when m is divided by 28?
25
Let v(p) = -4*p - 52. Calculate the remainder when 12 is divided by v(-15).
4
Let f(l) = -l**3 + 6*l**2 + 10*l - 3. Let d be f(7). Suppose -3*t + 3*v + 54 = 0, -t = -4*v - d - 0. What is the remainder when t is divided by 5?
3
Let g(t) = -t + 32. Calculate the remainder when 86 is divided by g(19).
8
Suppose 3*z + 4*f = 55, 2*f = z - 2*f - 45. What is the remainder when z is divided by 7?
4
Let c(n) = -n**2 + 7*n - 1. What is the remainder when c(6) is divided by 4?
1
Suppose 5*n - 15 = -p, -p - 3*n - 63 = -4*p. Let m(f) = f. Let a be m(7). Calculate the remainder when p is divided by 204/28 - 2/a.
6
Suppose -3*z - 186 = -3*w - 30, -2*z - 153 = -3*w. What is the remainder when 193 is divided by w?
46
Let j = 10 - 1. Calculate the remainder when (-380)/(-15) - 4/(-6) is divided by j.
8
What is the remainder when (-2)/5 - 2135/(-25) is divided by 22?
19
Suppose 3*m - 3*n = 21, -3*m - n = -0*m - 41. Suppose -4*g = 4*g - 456. Calculate the remainder when g is divided by m.
9
Let m = -71 - -146. Let o = -22 + m. Calculate the remainder when o is divided by 18.
17
Let m(t) = t**3 - 3*t**2 + 4*t + 2. Let k be m(5). Suppose 2*r - k = -r. Calculate the remainder when 93 is divided by r.
21
Let o be -8*((-42)/8)/(-7). Let q = 10 + o. Calculate the remainder when 11 is divided by q.
3
Let p(m) = -m**2 - 30*m - 5. What is the remainder when p(-14) is divided by 17?
15
Suppose 3*s - 396 = -6*s. Calculate the remainder when s is divided by 18.
8
Let j be 3*(-4)/6 + 133. Let c = -94 + j. Calculate the remainder when c is divided by 13.
11
Suppose 48 + 64 = -2*c. Calculate the remainder when 26 is divided by (-3)/((-44)/c + -1).
12
Suppose -2*w - 10 = 0, -2*k + 5*w + 238 = k. Calculate the remainder when k is divided by 24.
23
Let o(m) = -m + 13. Let x be o(11). Suppose -4 = i + 5*u, i + 1 = -4*u - 0*u. Calculate the remainder when x + (-4)/(4/(-41)) is divided by i.
10
Calculate the remainder when (0/1 + -3 - -74) + 2 is divided by 16.
9
Let y(d) = -79*d. Let a(x) = -20*x. Let f(c) = 22*a(c) - 6*y(c). Let n = -1 + 2. Calculate the remainder when f(n) is divided by 12.
10
Suppose 0 = 5*x + 4*g + 9 - 23, 5*x - 6 = 4*g. Suppose x*l + f = -0*l + 27, 0 = -5*l + 3*f + 40. Calculate the remainder when l is divided by 6.
5
Let z(y) = -2*y**3 - 2*y**2 + y + 5. Let l be (-2 - (-22)/8)*-4. What is the remainder when 112 is divided by z(l)?
36
Suppose 3*k - k = 0, -4*u = 2*k - 324. Calculate the remainder when u is divided by 14.
11
Suppose -3*s + 15 = -4*d, 5*d + 2*s + s = -39. Let q = 14 + d. What is the remainder when 23 is divided by q?
7
Calculate the remainder when 118 is divided by (-464)/(-12) + 2 + 4/(-6).
38
Let r(w) be the third derivative of -w**5/60 - w**4/6 + 5*w**3/6 + w**2. What is the remainder when r(-4) is divided by ((-9)/(-6))/((-2)/(-4))?
2
Let t = 123 - 108. What is the remainder when 67 is divided by t?
7
Let d(m) = -2 - m**3 - m - m + 2*m**3. Suppose -4*q + 35 = q. Calculate the remainder when d(3) is divided by q.
5
Let a(s) = -s**2 + 4*s. Let f be a(4). Let r(n) = n**3 + n**2 + 29. Calculate the remainder when r(f) is divided by 8.
5
Suppose 2*z + 3*q + 11 - 34 = 0, -2*z - 4*q = -18. Suppose 4*u + f - z = 1, -f - 20 = -4*u. What is the remainder when u is divided by 2?
1
Suppose 22 + 6 = 4*i. What is the remainder when (-6 + 0)*(i - 9) is divided by 7?
5
Let o(g) = 22*g - 3. Let z(k) = k**3 - k**2 - 2*k - 1. What is the remainder when o(2) is divided by z(3)?
8
Let f = -48 - -72. Calculate the remainder when f is divided by 13.
11
Let w(x) = -36*x + 20. Let n(f) = -7*f + 4. Let r(q) = -11*n(q) + 2*w(q). Calculate the remainder when r(5) is divided by 8.
5
Suppose -2*j - 4*h + 3*h = 2, 0 = -j + 5*h - 1. Let f(x) = -6*x**3 + x**2. What is the remainder when 12 is divided by f(j)?
5
Let a = -81 - -109. What is the remainder when 80 is divided by a?
24
Let u = 57 - 16. Suppose -2*q + 4*n - 44 = -6*q, 0 = 5*q - 2*n - u. Calculate the remainder when 17 is divided by q.
8
Suppose 8*f - 23 = 41. Suppose -39 = -5*r + 3*s - 0*s, -r - 3 = 3*s. What is the remainder when f i