- -54. Calculate the remainder when q is divided by 5.
3
Let o(f) = 65*f**2 - f - 1. What is the remainder when o(-1) is divided by 11?
10
Let s = 83 - 51. Calculate the remainder when 91 is divided by s.
27
Suppose -d - 20 = -5*d. Suppose -d*l + l + 4*b = 0, 5*b - 1 = 4*l. Calculate the remainder when 1 is divided by l.
0
Suppose -2 = 2*y + 3*x, -2*y - 7 = 5*x + 3. Suppose -y*n + 6 = -9. Suppose -n*s + 4*s = 13. What is the remainder when 37 is divided by s?
11
Let a(t) = t**3 + 9*t**2 + 11*t + 5. Let x(i) = i**3 - i**2 - 5*i + 2. Let z be x(3). Suppose n + z = 19. Calculate the remainder when a(-7) is divided by n.
12
Suppose 4*r = 6*k - 3*k + 14, -5*k = -10. What is the remainder when 18 is divided by r?
3
Let q(h) = -h**3 + 12*h**2 - 2*h - 11. Let g be q(8). Suppose -2*s + 92 = 3*k - k, 5*s - g = -4*k. Calculate the remainder when s is divided by (480/75)/(2/5).
13
Let o(i) = i**3 + 2*i**2 + 2*i + 10. What is the remainder when 15 is divided by o(0)?
5
Let t(i) = 4*i - 10. Let k(y) = -3*y + 11. Let n(d) = 3*k(d) + 2*t(d). What is the remainder when n(6) is divided by 5?
2
Let y = 92 + -171. Let f = y - -115. Let z = 24 + -11. Calculate the remainder when f is divided by z.
10
Let i(a) = 14*a - a - 2*a - 4 - 6 - 2*a**2. Let v be i(7). Let x = v + 43. What is the remainder when x is divided by 5?
2
Let a(u) = -u**3 - 6*u**2 + 6*u + 8. Calculate the remainder when 44 is divided by a(-7).
14
Suppose -5*n + 5 = -85. Suppose 4*w - 50 = -22. Calculate the remainder when n is divided by w.
4
Let u = 29 + -17. Let o be ((1 + 2)/3)/(-1). Calculate the remainder when u is divided by 2/(o - 18/(-14)).
5
Suppose 5*w - 50 = -10. Let m(y) = y**2 - 3*y - 1. What is the remainder when w is divided by m(4)?
2
Let i be 2/(3/(0 - -6)). Suppose -10 = -9*l + i*l. Suppose l*t + 2*t - 104 = 0. What is the remainder when t is divided by 9?
8
Let r = -11 - -15. Suppose r*f = -4 - 16. Let a = 8 + f. What is the remainder when 8 is divided by a?
2
Let k(y) = 52*y**3 + 4*y**2 - 4*y + 1. What is the remainder when k(1) is divided by 14?
11
Let s(d) = 2*d + 12. Let c be s(-8). Let p(t) = t**2 + t - 4. Suppose -3 = 4*y - 5*r, 5*r - 28 + 1 = -4*y. What is the remainder when p(c) is divided by y?
2
Let x(p) = -p**3 + 6*p**2 + 2*p - 9. Let d be ((-6)/4)/((-2)/(-12)). Let q = 1 - d. What is the remainder when q is divided by x(6)?
1
Suppose 61*v - 80 = 57*v. What is the remainder when 78 is divided by v?
18
Suppose -3*z = 4*g + 9, -3*g - 5 = -2*g - 2*z. Suppose 2*q + 5*s - 6 = 11, -q + s - 2 = 0. What is the remainder when (1 + g)*(-4)/8 is divided by q?
0
Let k(z) be the second derivative of -z**3/3 - 5*z**2 + z. Let w = -1 + -8. Calculate the remainder when 14 is divided by k(w).
6
Let j(d) = 4*d - 4. Let w be j(3). Suppose w*i = 3*i + 80. Calculate the remainder when i is divided by 9.
7
Calculate the remainder when 88 is divided by ((-10)/6)/(12/(-216)).
28
Let x be (-1)/(2/(-4)*-1). Let h(c) = c**2 - 1. Let u(v) = -v**3 + v**2 + 7*v + 3. Let m(t) = x*h(t) - u(t). Calculate the remainder when 40 is divided by m(5).
12
Let o(v) = 2*v - 5. Let d be o(7). Let f(u) = -u + d + 3 - 2. What is the remainder when 8 is divided by f(7)?
2
Suppose 10*p = 8*p + 32. What is the remainder when 56 is divided by p?
8
Suppose -x = -6*x + 175. What is the remainder when x is divided by 12?
11
Suppose 5*c = 5*h + 185, -7*c + 2*c + h + 165 = 0. Let w = 53 - c. Let t(i) = -5*i - 4. What is the remainder when w is divided by t(-3)?
10
Suppose -2*a = -t - 97, 3*a + 44 - 190 = t. Calculate the remainder when a is divided by 19.
11
Let z(x) = -x**3 + 6*x + x**2 - 2*x**2 + 0*x**3 + 5*x**2 - 5. Let s be z(5). Calculate the remainder when 5 is divided by 3/1 - (s - 0).
2
Let f(i) = i**2 + 16. Let t be f(0). Let n = -9 + t. Calculate the remainder when n is divided by 4.
3
Let k be (-4)/14 + 84/(-49). Calculate the remainder when (-2)/(k/1)*5 is divided by 3*1/1*1.
2
Suppose 5*b + 264 = -3*r, 3*b = 3*r - 73 - 71. Suppose 136 = -3*d + 1. Calculate the remainder when b/d*3*5 is divided by 9.
8
Suppose 0*v - 32 = -4*v. Calculate the remainder when 55 is divided by v.
7
What is the remainder when 56 is divided by (-3 + 2)/(3/(-87))?
27
Let g = -7 + 30. Calculate the remainder when 89 is divided by g.
20
Suppose -5*n - 2*s + 35 = -2*n, s - 49 = -5*n. Let p(b) = -b**2 + b - 1. Let x be p(1). Let r = x + n. Calculate the remainder when 22 is divided by r.
6
Suppose -6*c + 4*c = -18. Calculate the remainder when c is divided by 4.
1
Suppose 3*w = -w. Let a be (16/(-3))/(2/(-12)). Suppose -a = -4*n - w*n. Calculate the remainder when n is divided by 3.
2
Let f(r) = -3*r**3 - 6*r**2 + 4*r - 1. Let z(n) = 5*n**3 + 9*n**2 - 6*n + 1. Let l(w) = 8*f(w) + 5*z(w). What is the remainder when 3 is divided by l(3)?
0
Suppose 6*w - 6 = 3*w, -2*v + 22 = 3*w. Calculate the remainder when 47 is divided by v.
7
Suppose 2*y = 112 + 24. Calculate the remainder when y is divided by 36.
32
Suppose 4*q = -6*q + 90. Calculate the remainder when 80 is divided by q.
8
Let z(j) = -j - 2. Let d be z(-5). Suppose d*h - 15 = -2*h. Suppose 3*x - 21 = -y, 105 = 6*y - y - h*x. What is the remainder when y is divided by 11?
10
Let r = -39 + 65. Let z(g) = g + 26. What is the remainder when r is divided by z(-17)?
8
Calculate the remainder when (2/(-6))/(1/(-57)) is divided by 10.
9
Let l(n) = n + 3. Let b be l(4). Let y = -38 - -40. Let a = b + y. Calculate the remainder when 25 is divided by a.
7
Let u(f) = 5*f**3 + 3*f**2. Let k be u(-2). Suppose -3*z - 2*z + 75 = 0. What is the remainder when (-230)/(-8) + (-7)/k is divided by z?
14
Suppose j = -j - 3*z + 2, 0 = 4*j - 3*z - 22. Suppose 4*w - 35 = -j*g + 53, -16 = -2*w + 5*g. Calculate the remainder when 53 is divided by w.
17
What is the remainder when 429/15 - (-4)/10 is divided by 8?
5
Let x(l) = 4*l**2 - 6*l. Let b be x(4). Suppose 2*u - b = 50. What is the remainder when u is divided by 12?
9
Let j be -5*(127/(-5) + -1). Suppose 0 = -3*b + b + j. Calculate the remainder when b is divided by 17.
15
Let d be 1/3 - 57/9. Let o(c) = -2*c - 3. What is the remainder when 26 is divided by o(d)?
8
Let c(y) = 10*y - 31. What is the remainder when c(10) is divided by 18?
15
Let p(v) = 20*v**3 + 7*v - 2. Let w(y) = -30*y**3 - 10*y + 3. Let l(q) = -7*p(q) - 5*w(q). Calculate the remainder when 17 is divided by l(1).
7
Let m be (-172)/36 - (-4)/(-18). Let x = 11 - m. Calculate the remainder when x is divided by 6*(-1)/(2/(-3)).
7
Let u(r) = r + 1. Suppose -5*n = -n + 20. Let w be u(n). Let a = 23 - w. What is the remainder when a is divided by 14?
13
Suppose 9*a - 240 = -a. What is the remainder when 93 is divided by a?
21
Let b be (-54)/(-4) - 3/2. Let s = b - 1. What is the remainder when 30 is divided by s?
8
Let z = -94 - -156. Let y = -29 + 45. What is the remainder when z is divided by y?
14
Suppose 0 = -5*j - 4*r + 4 + 10, -2*j = 3*r - 7. Suppose j*n - 10 = 6. Calculate the remainder when 29 is divided by n.
5
Let p = 20 - 18. What is the remainder when 5 is divided by p?
1
Suppose 4*j - 2 = -2*h, 0 = j + 2*h + 7 - 3. What is the remainder when ((-63)/36)/(j/(-16)) is divided by 4?
2
Let z(i) = i**2 + i + 5. Let j be z(0). Suppose 3*u + 24 = -4*k, -k = 4*u - j*u - 1. Calculate the remainder when 4 is divided by u + 3 + 1 + 2.
0
Suppose -4*k + 2*p + 464 = 0, -5*k - 8*p + 4*p = -606. What is the remainder when k is divided by 17?
16
Suppose -j - 3*t + 3 = -2, -2*j + 50 = -4*t. What is the remainder when 65 is divided by j?
14
Let s(c) = 4*c - 2. Let h be s(-2). Let a be (-10)/(-3)*(-12)/(-10). Let m = a - h. What is the remainder when m is divided by 5?
4
Let o = -2 - 3. Let g(j) = -9*j - 5. What is the remainder when g(o) is divided by 21?
19
Let f(q) = q**2 + 2*q - 5. Let h be f(-4). Let u be ((-1)/h)/((-1)/12). Suppose u*m + 0*m = 8. What is the remainder when 2 is divided by m?
0
Suppose 2*g - g + 3*v - 32 = 0, 3*g + 4*v - 81 = 0. What is the remainder when 67 is divided by g?
21
Let h be 1 + 0 - (7 + -1). Calculate the remainder when (-2 - -1)/(1/(-29)) is divided by h/(((-10)/4)/5).
9
Let s(n) = n**3 + 5*n**2 - 8*n - 3. Suppose 0 = -2*j - 2*j - 24. Suppose 4*b - 68 = 2*p, 3*p - 10 = -4*b + 3*b. What is the remainder when b is divided by s(j)?
7
Suppose 2*d - 79 = -d - z, 0 = -4*