- 3. Let z = -16 - -23. Calculate the remainder when o(-7) is divided by z.
4
Let o(i) = 40*i**2 + i. Suppose 4*v + 3*h = 2*h + 79, 0 = -4*v + h + 81. Calculate the remainder when o(-1) is divided by v.
19
Let x(d) = 2*d**2 + 3*d + 6. Calculate the remainder when x(-4) is divided by 14.
12
Calculate the remainder when (6/(-9))/((-8)/588) is divided by -1 + 0 + (3 - -23).
24
Suppose 10*c - 5*c + 2*d - 53 = 0, -40 = -4*c - 4*d. Suppose 4*y + 2*y = 12. Suppose -3*x + y*x + 20 = 0. Calculate the remainder when x is divided by c.
9
Suppose -3*a + a = -26. Calculate the remainder when (14/10)/((-4)/(-100)) is divided by a.
9
Let w = -12 - -20. Let h = w + -2. What is the remainder when (17/(-2))/((-1)/2) is divided by h?
5
Let t = -3 + 4. Let z(o) = 21*o**2 + o. What is the remainder when z(t) is divided by ((-4)/(-5))/(2/20)?
6
Let f = -3 - -4. Suppose 0 = -x - 0*x + f. Suppose x + 9 = q. What is the remainder when 19 is divided by q?
9
Let r(i) = -i**2 + 6*i - 4. Let y be r(6). What is the remainder when 1/(y/152*-1) is divided by 20?
18
Let n(o) = -6*o - 11. What is the remainder when 25 is divided by n(-5)?
6
Suppose 0 = -l - 4*a + 14, -2*l - 11 = -l - a. Let u(f) = -f**2 - 7*f + 2. Calculate the remainder when 23 is divided by u(l).
7
Let x = -2 - -8. Suppose 4*f - x = 10. Suppose 0*k - 68 = -f*k. Calculate the remainder when 65 is divided by k.
14
Calculate the remainder when 16 + -3 + 4/(-1) is divided by 5.
4
Suppose -16 = -2*q - 0*q. Suppose 3*h - 40 = -1. What is the remainder when h is divided by q?
5
Suppose -z - 136 = -4*i + 3*z, 0 = -3*i - 2*z + 82. Let d(r) = -r**2 - 12*r - 6. Let n be d(-10). Let l = n + -6. What is the remainder when i is divided by l?
6
Let v = 66 + -18. What is the remainder when v is divided by 17?
14
Suppose 0 = 5*a - 6 - 4. Suppose 2*x + 3*o - a*o - 37 = 0, 4*x - o - 65 = 0. What is the remainder when (-15)/(-4)*(-160)/(-12) is divided by x?
16
Let v = 4 + 2. Let j = -24 - -41. Calculate the remainder when j is divided by v.
5
Let w(j) = -j**3 - 4*j**2 + 3*j - 3. Suppose n - 2*l - 15 = -6*l, l = n + 10. What is the remainder when 27 is divided by w(n)?
6
Let o(d) = 7*d**3 + 9*d**2 - 7*d. Let p(u) = -4*u**3 - 4*u**2 + 3*u. Let y(g) = -3*o(g) - 5*p(g). Calculate the remainder when y(-8) is divided by 6.
4
Let c = 21 + -13. Suppose -7 = -3*v + 8. Calculate the remainder when c is divided by v.
3
Suppose 3*n - 4 - 71 = 0. Calculate the remainder when 97 is divided by n.
22
Let b(g) = -29*g - 4 + 10*g + 7*g**2 + 19*g. Suppose z = 3*z - 6. Calculate the remainder when b(z) is divided by 20.
19
Let r = -28 + 46. Let w(f) = 1 + f + 2*f**2 - 1. What is the remainder when r is divided by w(2)?
8
Let t = -9 - -8. Let c(q) = 6*q**2 + q. What is the remainder when c(t) is divided by 3?
2
Let s(o) be the third derivative of o**4/12 + o**3/3 + o**2. Calculate the remainder when 39 is divided by s(9).
19
Let g(p) = 2*p**3 - p**2 + 2*p - 1. Let c be g(1). Suppose -c*q + 46 + 24 = 0. Calculate the remainder when q is divided by 18.
17
Suppose -3*z + h = -8, -2*h - h = -z + 8. Calculate the remainder when (2 + -4)*(-21)/z is divided by 6.
3
Let c(j) = -j**2 - 4*j + 7. Suppose 4*g = -5*k - 47, 15 = -5*g + k - 22. Let n = g - -3. What is the remainder when 3 is divided by c(n)?
1
Let z(r) = r - 6. Let l(h) = h**2 + 4*h - 4. Let n be l(-6). Let a = 8 + -5. Calculate the remainder when a is divided by z(n).
1
Suppose 11 = n - 2*f, 0 = n + f - 5*f - 5. Suppose -3 - n = -5*c. What is the remainder when 11 is divided by c?
3
Let c = 7 + -5. Suppose -c*k + 43 = -117. What is the remainder when k is divided by 27?
26
Let o be (-1)/(-6) + (-33)/(-18). Suppose 0 = 4*r, -3*l + o*r + 2*r = -18. What is the remainder when 17 is divided by l?
5
Let d(i) = i**3 - 13*i**2 + i - 5. Calculate the remainder when 29 is divided by d(13).
5
Suppose -2*x = -36 + 2. Calculate the remainder when 67 is divided by x.
16
What is the remainder when 24/(-144) - (-1489)/6 is divided by 21?
17
What is the remainder when 34 is divided by (13/3)/((-3)/(-9))?
8
Suppose -3*a - 13 = -28. Calculate the remainder when 14 is divided by a.
4
Let a(d) = 2*d**2 - 3*d + 6. Let w(t) = t**2 - 4*t + 7. Let v(u) = 6*a(u) - 5*w(u). What is the remainder when v(-3) is divided by 20?
18
Suppose 3*t - 4*y - 1 = 0, 0 = 3*t - 6*y + y + 1. Suppose d - 5 = -t, -4*x - 4*d = -108. Calculate the remainder when x is divided by 7.
4
Let m(a) = -a**2 - 20*a - 7. Calculate the remainder when m(-13) is divided by 17.
16
Suppose 7*m = 10*m - 198. Calculate the remainder when m is divided by 34.
32
Suppose 2 = 2*k + 2*o, -3*k + 6*k + 4 = 4*o. Let j = k - -10. What is the remainder when 37 is divided by j?
7
Suppose -5*y + 5 = 4*a - 2*y, -y = -2*a + 15. What is the remainder when 18 is divided by a?
3
What is the remainder when 30 is divided by (1 - 0)*(5 + 11)?
14
Let y = 4 + -1. Suppose 0*m - y*g = -5*m + 300, -3*m - 4*g = -180. Suppose -3*r - m = -8*r. Calculate the remainder when r is divided by 7.
5
Let w(f) = 4*f**3 - 4*f + 7. Calculate the remainder when w(2) is divided by 5.
1
Suppose a - c = -37, -2*a + 4*a + 53 = -5*c. Suppose -h = h - 32. Calculate the remainder when 5/((-5)/a) - 3 is divided by h.
15
Let f = 6 + -5. Calculate the remainder when 45 is divided by (-1)/(f/(-12)*1).
9
Let f(x) = 3*x - 7. What is the remainder when (93/6)/(1/2) is divided by f(6)?
9
Let q be 3 + -3 - (92 - -4). What is the remainder when 6/(-4)*q/18 is divided by 5?
3
Let l(h) = 8*h - 50. Calculate the remainder when 20 + (1 + 1)/2 is divided by l(7).
3
Let g = 4 + -2. Calculate the remainder when (-2 - (g - 2)) + 9 is divided by ((-2)/3)/((-3)/18).
3
Suppose 17 = g - 3. Let t = 38 - g. Calculate the remainder when t is divided by 10.
8
Let t = -7 - -9. Suppose 6 = -t*o + 2, 12 = -4*s + 2*o. Let m = s - -12. What is the remainder when 31 is divided by m?
7
Let b(z) = 2*z + 2. What is the remainder when 10 is divided by b(1)?
2
Let w(i) = 2*i - 4. Let x be w(6). Suppose 3*v - 1 = -4. Let p = x - v. Calculate the remainder when 26 is divided by p.
8
Let p be (9 - 3) + (1 - 3). Suppose m - 4 = 0, -p*m + 2 = j - 3*j. What is the remainder when 12 is divided by j?
5
Let y = 31 - 0. Suppose -5*s + 5 = 2*m - m, -5*m = -2*s - 106. Let t = m - 9. Calculate the remainder when y is divided by t.
9
Let r = -38 - -58. What is the remainder when 38 is divided by r?
18
Suppose i + 27 = 4*i. Let n(m) = -9*m - 1. Let t be n(-7). Suppose -38 - t = -4*d. Calculate the remainder when d is divided by i.
7
Suppose -2*s + p + 44 = 0, 2*p + 58 = -5*s + 168. What is the remainder when s is divided by 14?
8
Calculate the remainder when 18 is divided by 86/8 - 21/(-84).
7
Let z = 179 + -125. What is the remainder when z is divided by 14?
12
Suppose 16 + 19 = 5*m - 4*s, 5*m = 2*s + 25. Suppose 6*p - 559 = -5*c + 5*p, -4*p - 317 = -m*c. What is the remainder when c is divided by 28?
27
Suppose -5*k - 2*c = -5*c - 2, -6 = -5*k - c. Let j = k - -2. Suppose 2*v = v + j*n + 14, -2*v + 18 = -n. What is the remainder when 14 is divided by v?
6
Suppose 2*n = -5*f + 12, 28 = 5*f - 3*n + n. Suppose -33 = -4*t + f*g - 9, g = 3*t - 26. Calculate the remainder when 19 is divided by t.
9
Let u(p) be the first derivative of -41*p**2/2 + 2*p - 4. Calculate the remainder when u(-1) is divided by 11.
10
Let j(a) = -a + 9. Calculate the remainder when 16 is divided by j(0).
7
Let z(v) = 2*v**2 - 6*v - 6. What is the remainder when z(6) is divided by 17?
13
Let w = -51 - -29. What is the remainder when (w/8)/(4/(-16)) is divided by (-7)/(84/16)*-3?
3
Let a be 20/3 - 2/(-6). Let h = a - 5. Let x(p) = 24*p - 2. Calculate the remainder when x(h) is divided by 16.
14
Suppose -4 = -3*r - r. What is the remainder when 17 is divided by (5 - 2)*(r + 2)?
8
Suppose 0 = n + 3 - 9. Calculate the remainder when 40 is divided by n.
4
Let j = -22 + 30. Calculate the remainder when 27 is divided by j.
3
Let h(l) = 8*l**2 - 3. Calculate the remainder when 114 is divided by h(-2).
27
Let u(s) = -2*s**3 - 7*s**2 + 2*s + 6. Let j be u(-5). Let h = -36 + j. What is the remainder when h is divided by 18?
17
Calculate the remainder when 25 is divided by (-4)/14 + 765/105.
4
Suppose y + 4*y = 30. What is the remainder when 20 is divided by y?
2
Suppose 4*c - 7*j = -4*j - 