 4 - 1. Let b(v) = -2*v**2 + 2*v**k - 2*v**2 - v**3 + 5 - 5*v. Calculate the remainder when b(5) is divided by 3.
2
Let l(y) = 2*y**2 + 2*y - 1. Let h be l(1). Suppose -h*b + 153 = 3*r, 5*b - b - 222 = 2*r. Let s = 75 - b. What is the remainder when s is divided by 11?
10
Let i(j) = -2*j + 4. Suppose 3*p = -17 - 1. What is the remainder when i(p) is divided by 9?
7
Let x(a) = a**2 + 6*a + 17. Suppose -315 = -5*y - 5*p, 0*y = y - 3*p - 71. Calculate the remainder when y is divided by x(-8).
32
Let i = 42 + -34. Calculate the remainder when 31 is divided by i.
7
Suppose 0 = -4*d + 2*a + 14 - 0, -2*a = 3*d - 14. Let o(p) be the first derivative of 2*p**2 + 3*p - 2. What is the remainder when 56 is divided by o(d)?
18
Suppose -1760 = -8*k + 4*k. Let u be (k/25)/((-2)/(-10)). Suppose -u = -4*m + 40. Calculate the remainder when m is divided by 11.
10
Suppose 2*w = -2*w + 44. Calculate the remainder when w is divided by 4.
3
Let d(n) = n**2 - 3*n - 9. Let o(r) = -r**2 + 5*r - 4. Let p be o(4). Suppose 6 = -3*q, p = -f - f + 4*q + 82. What is the remainder when f is divided by d(7)?
18
Let y = 41 - 13. What is the remainder when 137 is divided by y?
25
What is the remainder when 9/(((-8)/10)/(-4)) is divided by 24?
21
Let q be 3/((-2)/(-148)*6). Let z = q + -22. What is the remainder when z is divided by 8?
7
Suppose -4*b = -b - 12. Suppose -6*r = -b*r - 12. Suppose 3*u + 0*u = 66. Calculate the remainder when u is divided by r.
4
Let m(g) = -18*g - 61. Suppose 4*x - 144 = -5*d, -5*x + 0*d + 163 = 2*d. Calculate the remainder when x is divided by m(-4).
9
Let h(x) = 4*x. Let k be h(6). Suppose -32 = 4*p - 3*f, -2*f - 6 = -2*p - k. What is the remainder when (6/p)/(1/(-20)) is divided by 13?
11
What is the remainder when 17 is divided by ((-20)/4)/((-5)/6)?
5
Let c(x) = 27*x**2 + x + 6. Calculate the remainder when c(-2) is divided by 38.
36
Suppose t = -13 + 39. Suppose -t = -4*i + 14. Calculate the remainder when i is divided by 6.
4
Let t(h) = -4*h + 1 - h + 4*h. Suppose -5*u = -10*x + 9*x - 9, -5*x + 5*u = -35. What is the remainder when x is divided by t(-5)?
5
Let k = 3 + -4. Let g = -99 - -105. Calculate the remainder when k - -2 - 0 - -10 is divided by g.
5
Let b(j) = -j**3 + 15*j**2 + 4*j + 6. Calculate the remainder when b(15) is divided by 23.
20
Let j(q) = -q**2 + q. Let d be j(0). Suppose 2*n + d - 13 = -a, 4*a = -n + 24. Calculate the remainder when 14 is divided by n.
2
What is the remainder when (-1 - 15/(-9))*66 is divided by 3/((-26)/70 - (-40)/70)?
14
Let o = -3 - -24. Suppose -2*f + 3*n = -0*f - 42, -o = -f + 3*n. Let l(a) = 14*a**2 - 4*a - 3. What is the remainder when l(-2) is divided by f?
19
Suppose -2*s = -9 - 9. Let y be 2/6 - (-2)/(-6). Suppose y = -4*w + 3*z - 5 + 25, z = 5*w - 25. What is the remainder when s is divided by w?
4
Let n(r) = -r**3 - r**2 - 2*r + 3. Let d be (-10)/(-1) - (-5 + 6). Suppose d = x - 5. Calculate the remainder when n(-3) is divided by x.
13
Suppose 0 = 2*t + 3*t - 10. Suppose t*q + 67 = 3*q. What is the remainder when q is divided by 17?
16
Suppose -4*o = -3*x - 2*o + 11, 10 = 3*x - o. Calculate the remainder when 9 is divided by x.
0
Let l = 117 - 106. What is the remainder when 15 is divided by l?
4
Let u be 0/(-3) - (1 - -4). Let s be 2/(-5) - 172/u. Suppose -f + s = 8. Calculate the remainder when f is divided by 9.
8
Let m(v) = -7*v - 1 - 4 + 4. Calculate the remainder when 16 is divided by m(-1).
4
Let w be (-2)/(-10) + (-255)/25. Let m be -2*42/(-4) - 1. Let a = w + m. Calculate the remainder when 18 is divided by a.
8
Calculate the remainder when 46/(0 - (-2 + 1)) is divided by 12.
10
Suppose -97 - 63 = -5*q. Suppose 0 = 5*r + 1 - 11. Suppose r*z = z + 11. Calculate the remainder when q is divided by z.
10
Let v(n) = -n**2 + 6*n - 3. Let z be (-8)/((-6)/9*-3). What is the remainder when z*10/(-4)*1 is divided by v(3)?
4
Let i be (33/12)/((-2)/(-16)). Let u = 354 - i. Calculate the remainder when u/6 - 2/(-3) is divided by 19.
18
Suppose 2*q - q - 6 = 0. Let w(z) = -z**3 + 7*z**2 - 5*z + 1. What is the remainder when 20 - 3/6*2 is divided by w(q)?
5
Let l(p) = -6*p - 2. What is the remainder when l(-9) is divided by 0/2*-1 + 11?
8
Let j(d) = d**3 - 10*d**2 - 12*d + 14. Calculate the remainder when 4 is divided by j(11).
1
Let l(h) = 12*h**2 - 6*h - 9. What is the remainder when l(5) is divided by 53?
49
Suppose 4*n = -0*n - 12. Suppose 0 = -4*l + 62 + 18. Calculate the remainder when l is divided by ((-33)/15)/(n/15).
9
Let w be (-100)/6 - 7/21. Let q = w - -41. Suppose -2*m + m = -13. What is the remainder when q is divided by m?
11
Let a = -1 + 10. Suppose -3*q + 67 + 5 = 0. Calculate the remainder when q is divided by a.
6
Let j = -45 - -73. Calculate the remainder when j is divided by 10.
8
Let t = -21 - -30. What is the remainder when 26 is divided by t?
8
Let s(f) be the first derivative of f**4/4 - f**3/3 + 6*f + 2. Suppose -2*u = u. What is the remainder when 16 is divided by s(u)?
4
Let h(t) = -t**3 + 3. Let w be h(0). Suppose -1 = -m + 1, -4*p = w*m - 26. What is the remainder when 7 is divided by p?
2
Let o(u) = u**2 + 2*u - 2. Calculate the remainder when (-1 + 20)/((-2)/(-4)) is divided by o(-5).
12
Let x(d) = -15*d**3 + 0*d - 4*d - 25*d**3 + 3*d. Let w be x(1). Let o = 61 + w. What is the remainder when o is divided by 11?
9
Let x(j) = 20*j - 107. What is the remainder when x(10) is divided by 50?
43
Suppose -2*h - 7 = -u - 4*h, 0 = -4*u - h. Calculate the remainder when (-85 - u)*11/(-22) is divided by 11.
9
Let y = -38 + 55. Let l = 15 + -9. Suppose 0 = -4*c + 3*c + l. Calculate the remainder when y is divided by c.
5
Let m be 1255/2 - 3/6. Let y be 2/6 + m/9. Suppose -g = g - y. What is the remainder when g is divided by 9?
8
Let a be (6/2)/3 + 2. Suppose 0 = a*h + 32 - 128. Calculate the remainder when 93 is divided by h.
29
Calculate the remainder when 17 is divided by (-183)/(-15) + (-4)/20.
5
Let u(w) = w. Let k(q) = 7*q**2 - q + 1. Calculate the remainder when k(2) is divided by u(7).
6
Let b(d) = d**2 - d. Let a be b(-1). Suppose -v - a*v = 0. Suppose 0 = -3*o + 6 - v. What is the remainder when 5 is divided by o?
1
Let m(w) = -3*w - 3. Let p be m(-2). Suppose -15 = p*a - 4*a. What is the remainder when 42 is divided by a?
12
Suppose 0 = -5*f - 4*x + 34, 3*x = 3*f - 2*x - 50. Let k(q) = -3*q + 9. Let p be k(6). Let j = p - -13. Calculate the remainder when f is divided by j.
2
Let z(o) = -o**2 - o - 1. Let d be z(-2). What is the remainder when 2 is divided by d - 0 - 2*-2?
0
Suppose -8 = -h - 3*i + 17, -3*h = -5*i - 19. What is the remainder when 64 is divided by h?
12
Let z = -14 - -43. Calculate the remainder when z is divided by 16.
13
Suppose 2*g = 10 - 2. Let z = -11 + g. Calculate the remainder when 11 is divided by 4/((-4)/z) - 1.
5
Suppose 11 - 1 = 2*c, c - 175 = -5*q. Suppose -2*j = 4 - q. Calculate the remainder when 72 is divided by j.
12
Let k be -1 - (-1 + (1 - -12)). Let i = -9 - k. Calculate the remainder when 11 is divided by i.
3
Suppose -j - 3*y = 33, 5*j - 4*y + 105 = -7*y. Calculate the remainder when 34 is divided by j*(0 - (-1)/(-2)).
7
Suppose 0 = 2*i + r - 4*r - 41, 3*i - 2*r = 69. Calculate the remainder when 47 is divided by i.
22
Let p be 5*(8 - (-2 + 4)). Let i be 13 + -13 + 6/4*-14. Let v = i + p. Calculate the remainder when 17 is divided by v.
8
Suppose 3*c - i = 54, -c + 10 = -2*i - i. Calculate the remainder when 2/(-8) + 423/12 is divided by c.
16
Suppose -14*i + 6*i + 56 = 0. Calculate the remainder when 55 is divided by i.
6
Let g(c) = 2*c**2 - 2*c + 4. What is the remainder when g(4) is divided by 8?
4
Suppose 0 = -0*o + o - 12. Suppose -m - o = -g, -m = -2*g + 26 - 6. Let s(a) = -a**3 + 3*a + 1. Calculate the remainder when g is divided by s(-2).
2
Suppose -3*n - 3 = 3, 4*n = -3*s + 109. Let t be 2/(-2)*s*-1. Let b = t + -7. Calculate the remainder when b is divided by 17.
15
Let x(t) = -2 - 3*t + 3*t**2 - 4*t**2 - 3*t. Calculate the remainder when 10 is divided by x(-4).
4
Suppose 0 = -2*i - 2*d + 6 + 4, -i - 4*d + 14 = 0. Let l be 5/(-5)*2/i. What is the remainder when (-5 + 0)/(l/3) is divided by 4?
3
Let v(d) = -d**2 - 14*d - 11. What is the remainder when 85 is divided by v(-11)?
19
Suppose -3*y = g - 8*y - 31, 5*y = -2