q + 4*a - 51 = 0, t*q - q + 4 = -3*a. Calculate the remainder when 23 is divided by q.
10
Let p(t) = -t**3 - 33*t**2 - 35*t - 61. What is the remainder when p(-32) is divided by 9?
8
Let u = 12 + -8. Let t(v) be the third derivative of v**6/120 + v**5/15 + v**4/24 - 7*v**2. Calculate the remainder when t(-3) is divided by u.
2
Suppose 0 = 5*k - 2*v - 96, -4*v = -4*k + 72 - 0. Suppose 0 = 5*a - 5, -2*j + 5*a = -0*j - 17. What is the remainder when k is divided by j?
9
Let m = -35 - -53. What is the remainder when m is divided by 7?
4
Let c(f) = 2*f**2 + 7*f + 16. Let o = 30 + -7. Calculate the remainder when o is divided by c(-3).
10
Let o(f) = -f - 6. Let v be o(-6). Suppose 2*l + 4*n - 22 = v, l + 5*n + 5 = 16. What is the remainder when ((-14)/4)/(4/(-24)) is divided by l?
10
Suppose -m - 51 = -73. What is the remainder when 64 is divided by m?
20
Let m(i) = -i - 10. Suppose -3*t + 25 = u - t, -3*u - 3*t + 72 = 0. What is the remainder when u is divided by m(-18)?
7
Let s = 69 + -56. What is the remainder when 25 is divided by s?
12
Calculate the remainder when (4 - 309/(-18)) + (-1)/6 is divided by 5.
1
Let h(z) = z + 11. Let f be h(-9). Suppose 6 = f*w, -7*s = -2*s - 5*w - 30. What is the remainder when 43 is divided by s?
7
Let d(g) be the first derivative of 2*g**2 + 4*g + 1. Let h be d(4). Let q = h - -6. Calculate the remainder when q is divided by 9.
8
Let i(n) = n**3 - 2*n**2 + 4*n - 8. Let o be i(7). Suppose k - o = -4*k. What is the remainder when k is divided by 18?
17
Let l(f) = f + 10. Let i(q) = 9*q + 81. Let v(h) = 4*i(h) - 33*l(h). Suppose -p = -0*p - 6. Calculate the remainder when 23 is divided by v(p).
11
Let h(p) = p**2 - 5*p + 7. Suppose -t = -4*r - 8, -2*t - r + 28 = -6*r. What is the remainder when t is divided by h(6)?
11
Let f be -2 + (-7)/((-21)/6). Suppose -16 = -4*c - 2*y, 2*c - y - 8 = -f*c. What is the remainder when 6 is divided by c?
2
Let d(y) = y**3 + 7*y**2 - y + 3. Let i be d(-7). Let j(z) = z**2 + 0 - 10 - 8*z + 0*z. Calculate the remainder when j(i) is divided by 4.
2
Suppose 0*o + 2*o = 36. What is the remainder when o is divided by 10?
8
Suppose 0 = w - 4*w + 3*a + 12, -3*a = -w. Suppose w*u - u - 15 = 0. What is the remainder when 3*2/u + 34 is divided by 13?
10
Suppose 7*c - 412 - 134 = 0. Calculate the remainder when c is divided by 16.
14
Let m(a) = -a - 9. Let y be m(-7). Let q be -2 + y/(-4)*46. Suppose h + 3 - q = 0. Calculate the remainder when 34 is divided by h.
16
Let k = 12 + -9. What is the remainder when 3 is divided by k?
0
Let u(o) be the third derivative of -o**4/24 - o**3 - 3*o**2. Calculate the remainder when 23 is divided by u(-12).
5
Suppose -2*t = -0*t - 8, -2*h + t + 74 = 0. Calculate the remainder when 114 is divided by h.
36
Suppose 4*c + 2*x + 232 = -2*x, 2*c = 3*x - 106. Let q = c - -98. What is the remainder when q is divided by 11?
9
Let y(c) = c**2 + 3*c - 5. Suppose -f - f - 4 = 2*m, -m = -2*f + 11. Let x = f - -6. What is the remainder when x is divided by y(-5)?
4
Let o(g) = 69*g**3 + 2*g**2 - 2*g. What is the remainder when o(1) is divided by (9/(-4))/(6/(-48))?
15
Let z be (-1)/(-4) + (-44)/(-16). Suppose z*l = -l - 5*m + 63, 4*l = -2*m + 66. What is the remainder when 32 is divided by l?
15
Let s(f) = f**2 + f. Let u(l) = -l**2 - 2*l + 1. Let r(z) = 6*s(z) + 5*u(z). Calculate the remainder when 39 is divided by r(5).
9
What is the remainder when (37 - 4)/(15/4 - 3) is divided by 15?
14
Suppose m = -2*x - 3, 2*m + 7*x - 2*x = -9. Suppose -3*v - 5*f = -61, -m*f = -5*f - 2. What is the remainder when v is divided by 13?
9
Suppose -44 + 7 = -4*i - 5*t, 5*i = 3*t. Let x(a) = 2*a**2 - 4*a - 1. What is the remainder when 14 is divided by x(i)?
4
Let f(c) = c**3 - 7*c**2 + 13*c - 26. What is the remainder when 108 is divided by f(6)?
12
Calculate the remainder when (212/6)/(4/6) is divided by 11.
9
Suppose 0*i - 2*h + 32 = 4*i, -i + h = -8. Let t be 2/i + 332/16. Suppose 4*o = -5*s + t, -3*o + 1 = -3*s - 2*o. Calculate the remainder when s is divided by 1.
0
Let c = 105 + -83. Calculate the remainder when c is divided by 6.
4
Let s = -4 + 24. Let d = -18 + 28. Let k(n) = n - 3. Calculate the remainder when s is divided by k(d).
6
Suppose 0 = -5*n - 5 - 5. What is the remainder when (n - 99/(-6))*2 is divided by 10?
9
Let x(m) = -m**3 - 8*m**2 - 4*m - 7. Let r be x(-8). Suppose -4*t - t = -r. Calculate the remainder when 18 is divided by t.
3
Suppose -k + 0*k + 7 = 0. Suppose -5*i + 13 = -s, -i + 0*i + 11 = 4*s. What is the remainder when k is divided by s?
1
Let k = -4 + 12. Let x(y) = 2*y + 2. Calculate the remainder when x(10) is divided by k.
6
Let n(d) = -d + 9. What is the remainder when n(0) is divided by 6?
3
Let l be (-41 - -1)/((-10)/(-15)). Let s = -32 - l. What is the remainder when s is divided by 15?
13
Suppose -j + 11 = -2*o, 8 = j - o - 3. Calculate the remainder when 34 is divided by j.
1
Let x(v) = -4*v**3 - v**2 + 4*v + 7. Calculate the remainder when x(-4) is divided by 26.
23
Suppose 6*j - 2*f - 130 = 2*j, -59 = -2*j - 5*f. What is the remainder when j is divided by 18?
14
Suppose -x - 30 = -6*x. Suppose -x*o + 2*o = -120. Let k = 57 - o. Calculate the remainder when k is divided by 10.
7
Suppose f - 4*f = -141. What is the remainder when f is divided by 8?
7
Let g = -5 - -11. What is the remainder when 20 is divided by g?
2
Suppose -4*z + 0*z = -72. Calculate the remainder when 69 is divided by z.
15
Let m(s) = s**3 + 5*s**2 - 14*s - 21. What is the remainder when 105 is divided by m(-6)?
24
Let n = 193 - 182. Suppose 1 = w - 0*w. Let u = w - -2. What is the remainder when n is divided by u?
2
Let t(l) = 39*l**2 - 5*l + 6. What is the remainder when t(2) is divided by 39?
35
Let x(m) = -2*m + 2. Let u be x(0). Suppose -d + 3*n = u*d - 144, -d - 4*n = -38. Calculate the remainder when d is divided by 16.
14
Suppose -7 - 41 = -2*b. Calculate the remainder when 93 is divided by b.
21
Let g(v) = v**3 - v**2 + v + 2. Let a be g(0). Suppose 0 = 3*b, -3*t = -t + a*b - 30. Calculate the remainder when t is divided by 9.
6
Let x(u) = -18*u**3 - u**2 + u + 1. Suppose -68*g = -75*g + 231. What is the remainder when g is divided by x(-1)?
16
Suppose -16*m + 13*m = -51. Calculate the remainder when m is divided by 10.
7
Let c(n) = -5*n - 6. Let d be (-28)/6 + 4/6. Suppose -2*v = -u + 2*v + 44, -5*v - 125 = -3*u. What is the remainder when u is divided by c(d)?
12
Let s = 1 + 0. Calculate the remainder when (5 + -8 - -18)/(6/4) is divided by (4/5)/(s/5).
2
Suppose 5*l - 7 = 33. Let m = 34 + -11. What is the remainder when m is divided by l?
7
Suppose 5*d - 2*v = 482, 354 = 4*d - 5*v - 35. Suppose -4*h = -h - d. Calculate the remainder when h is divided by 115/10 + (-1)/2.
10
Calculate the remainder when 68 is divided by (-70)/(-4 - 1) - 4.
8
Suppose -4*m = -55 + 15. Suppose 3*v - 53 - 31 = 0. What is the remainder when v is divided by m?
8
Suppose 4*l + 104 = -0*l. Let d = -25 - l. Calculate the remainder when 1 is divided by d.
0
Let c(z) = 16*z**2 + 76*z + 66. Let n(m) = 3*m**2 + 15*m + 13. Let q(f) = 2*c(f) - 11*n(f). Calculate the remainder when q(-11) is divided by 3.
2
Let h be (12/10)/((-2)/5). Let m = -3 - -7. What is the remainder when 4 + 5 + h + 1 is divided by m?
3
What is the remainder when 176 is divided by (-16 + -2)/1*25/(-10)?
41
Let t(o) = o**3 - 6*o**2 + o + 1. Let d be 0 - (-2)/(-2) - -7. Calculate the remainder when 26 is divided by t(d).
5
Suppose 3*j + 3*i - 2 - 7 = 0, 4*j = -3*i + 17. Calculate the remainder when j is divided by 5.
3
Suppose 6 = 5*r + 1. Let u(f) = 2*f**3 + 0 - 2 - r - 3*f - 3*f**2. What is the remainder when u(3) is divided by 8?
7
Let r = -1 - -7. What is the remainder when 44 is divided by 162/12 - r/(-4)?
14
Let y be ((-12)/10)/((-8)/(-20)). What is the remainder when 82*y/(-12)*2 is divided by 14?
13
Let k(s) = -s**2 - 3*s - 2. Let g be k(-6). Let b = g + 36. Let o = -30 + 60. Calculate the remainder when o is divided by b.
14
Let g be 1/(2/(0 + -12)). Let l be 7/((g/(-15))/2). What is the remainder when (1*l)/(2 + -1) is divided by 9?
8
Let k(t) = 4*t - 11. What is the remainder when k(12) is divided by 20?
17
Let d(b) = b**3 - b**2. Let i(x) = -x**2 + 8*x - 6. Let w be i(7). Let o be d(w). Suppose 2*l + o*l = 62. Ca