- 22. Suppose -2*r - 5*n + 0*n = -18, -2*r + 54 = -4*n. Calculate the remainder when r is divided by g.
5
Let h(o) = -o**3 + 3*o**2 + o - 1. Let i be (-2)/(-8) - 55/(-4). Let p = -11 + i. What is the remainder when p is divided by h(3)?
1
Suppose 6*a - 42 = 3*a. Suppose -218 = -4*s + 2*c, 0 = -s - 0*c - 5*c + 49. Calculate the remainder when s is divided by a.
12
Suppose v = -0*v. Suppose 0*u - 12 = -3*u. Suppose -g + v = -u. What is the remainder when 15 is divided by g?
3
Let f(c) be the third derivative of -c**5/60 + c**4/24 + 3*c**3/2 - 2*c**2. Let l be f(0). Calculate the remainder when 16/(-12)*l/(-2) is divided by 4.
2
Let w(k) = k. Let z be w(5). Suppose 0 = -z*l + 3*o + 71, -3*l + 5*l + 4*o - 18 = 0. What is the remainder when 25 is divided by l?
12
Suppose 0 = p + 3*w - 24, -4*p + 61 - 15 = 2*w. Let i = 2 + p. Let o(m) = -4*m - 4. What is the remainder when o(-6) is divided by i?
9
Let w = 52 - 15. Suppose -2*q = -3 - w. Let z(m) = -m + 7. Calculate the remainder when q is divided by z(0).
6
Suppose 6*b + 6 = 4*b. Calculate the remainder when 21 is divided by (-36)/b*(-5)/(-10).
3
Let v = 22 - -16. Let r(w) = -9*w + 1. Calculate the remainder when v is divided by r(-1).
8
Suppose -11*s + 115 = -6*s. What is the remainder when s is divided by 13?
10
Let m(z) = 2*z - 1. Let v be m(2). Suppose -v*f + 5*f = 14. What is the remainder when f is divided by 4?
3
What is the remainder when 19 is divided by 1 - (18/(-6))/(1 - -2)?
1
Let h(l) = 137*l**2 - 1. Let a be h(1). Suppose y - a + 45 = 0. Calculate the remainder when y is divided by 23.
22
What is the remainder when 327/4 - ((-63)/12)/(-7) is divided by 43?
38
Suppose -22 = -u + 10. What is the remainder when u is divided by 11?
10
Let s = 7 + -10. Let n(q) = -q**3 + 3*q**2 + q - 4. Calculate the remainder when n(s) is divided by (-2)/4 + (-99)/(-6).
15
Suppose 2*f + 116 = 2*g, -4*f + 42 = g - f. Suppose -3*z + 80 = 5*a, 2*z + 5*a - a - g = 0. Calculate the remainder when z is divided by 13.
12
Let y(m) = m**2 + 2. Let s be y(0). Let x(j) = 3*j - 2. What is the remainder when 9 is divided by x(s)?
1
Let a(r) = 19*r. What is the remainder when 48 is divided by a(1)?
10
Suppose 7*h - 623 - 189 = 0. What is the remainder when h is divided by 24?
20
Let r = -8 - -8. Let f = r + 22. What is the remainder when (-2)/(-3)*258/4 is divided by f?
21
Suppose 3*p + i - 52 = -3*i, 5*p + 5*i - 85 = 0. What is the remainder when 46 is divided by p?
14
Let v = -76 - -115. Let o(s) = 5 - 1 - s + 20*s**2 - 19*s**2. What is the remainder when v is divided by o(3)?
9
Let k(l) be the first derivative of 1 - 2*l + 3/2*l**2. What is the remainder when 11 is divided by k(2)?
3
Suppose -3*z + 5*z - 6 = 0. Suppose 73 = z*y + 4*a, y + 0 = a + 29. What is the remainder when y is divided by 10?
7
Let i(b) = -b**3 + 10*b**2 - 12*b + 9. Calculate the remainder when i(8) is divided by 22.
19
Suppose -4*x = -x + v - 129, -5*x + 3*v + 201 = 0. Suppose y + 2*w + 2 - 14 = 0, w = 2*y - 49. Calculate the remainder when x is divided by y.
20
Let g(w) = -2*w**3 - 2*w - 1. Calculate the remainder when 7 is divided by g(-1).
1
Let g(y) = y**2 + 15*y - 14. Let q be g(-16). Suppose -2*o + 7 = v, q*o - 14 = -4*v + 44. What is the remainder when v is divided by 5?
2
Let p(h) = -h**3 + 7*h**2 - 6*h + 4. Suppose -18 - 12 = -5*w. Calculate the remainder when 2 + (1 - (0 + -3)) is divided by p(w).
2
Let b = 148 + -73. Calculate the remainder when b is divided by 16.
11
Suppose 0*f + f + 14 = 0. What is the remainder when 87 is divided by (-329)/f - 6/4?
21
Suppose -17 = 4*l - 5*l. Calculate the remainder when 65 is divided by l.
14
What is the remainder when 67 is divided by 2 - (6 - 1) - -26?
21
Let b(c) = -c**2 - 9*c - 6. Let v = 6 - 13. Calculate the remainder when 23 is divided by b(v).
7
Suppose y + 21 = w, 4*w - 109 = -5*y - 25. What is the remainder when 81 is divided by w?
18
Suppose -a + 6*a = 75. Let h = -7 - -7. Suppose 5*i - 44 = 4*g, 5*g + 21 = -h*i + 2*i. What is the remainder when a is divided by i?
7
Let o = 45 + -67. Let f be (-4)/o + (-60)/(-33). Suppose -f = p + 3*z, -3*z + 14 + 24 = 5*p. Calculate the remainder when 18 is divided by p.
8
Suppose -3*m = -x + 17, -4*m + 3 = 5*x - 6. Suppose t + 64 = 3*p, -x*p + 112 = -3*t - 0*t. What is the remainder when p is divided by 11?
9
Suppose -12*z + 3 = -11*z, 4*y + 2*z = 582. What is the remainder when y is divided by 37?
33
Suppose 3*o + 5*r = -0*o + 178, -4*o + 184 = -4*r. What is the remainder when o is divided by 11?
7
Let j = 3 + 6. Calculate the remainder when 26 is divided by j.
8
Let l(w) = w**3 - 6*w**2 + 3*w - 1. What is the remainder when l(7) is divided by 24?
21
Suppose -r = -4*b + 5 + 4, -2*r + 4*b - 18 = 0. Let j(v) = 21*v**2 + v. Let t be j(-1). Let i = r + t. Calculate the remainder when 31 is divided by i.
9
Suppose 5*j - 2*k - 61 - 22 = 0, 0 = j + k - 11. Suppose 18 - 102 = -2*m. Calculate the remainder when m is divided by j.
12
What is the remainder when 16 is divided by 5*1*(-55)/(-25)?
5
Let n = 153 + -143. Let u(x) = 23*x - 2. What is the remainder when u(3) is divided by n?
7
Let b(j) = j**3 - 4*j**2 + 3*j. Let d be b(2). Let c = 8 + d. Suppose -3*y + 4*m = -2 - 62, 5*y - 3*m - 92 = 0. Calculate the remainder when y is divided by c.
4
Suppose 2*b + 4*g = 4, 3*b - g = -2*b + 43. Let o be (-88)/(-12)*(-6)/4. Let v = 11 - o. Calculate the remainder when v is divided by b.
6
Suppose -3*w - 64 = -2*p, -3*p + 89 = -w - 0*w. Let g(f) = -f**3 - f**2 + 8. Calculate the remainder when p is divided by g(0).
5
Let f = -15 + 49. What is the remainder when 65 is divided by f?
31
Let y = -1 + 17. Let m(i) = -i**3 - 12*i**2 - i - 3. What is the remainder when y is divided by m(-12)?
7
Calculate the remainder when ((-1)/(-3))/((-7)/(-399)) is divided by 6.
1
Let a = 10 - 7. Let h = -25 - -29. What is the remainder when 9/((9/2)/a) is divided by h?
2
Let u = -27 - -38. Calculate the remainder when 37 is divided by u.
4
Let o(g) = g**3 - 13*g**2 + 6*g. Let j be o(12). Let m = j + 106. What is the remainder when m is divided by 12?
10
Let v(k) = -3*k - 9. Let b be v(-4). Suppose -g - b*g + 12 = 0. What is the remainder when 4 is divided by g?
1
Suppose 5 = -3*p + 20. Suppose -8*l + 54 = -p*l. Calculate the remainder when 53 is divided by l.
17
Let c be (0 - 1)/(-1) - 1. Suppose c + 1 = -s. What is the remainder when (-2)/((-75)/69 - s) is divided by 12?
11
Suppose 5*g + s = 4, 4*g - g + 2*s - 1 = 0. What is the remainder when (g + 4)/(2/6) is divided by 9?
6
Let s(t) = 3*t - 6. Let j = 19 - 3. Calculate the remainder when (j/(-5))/(4/(-20)) is divided by s(4).
4
Let m = 41 + -76. Calculate the remainder when 19 is divided by (-255)/m + (-2)/7.
5
What is the remainder when 27 is divided by -3 + 2 + 48/3?
12
Suppose 4*s - 6 = 6. Suppose 3*k + s*n = 48 + 24, 2 = -n. What is the remainder when k is divided by 9?
8
Let l = 12 - -11. What is the remainder when l is divided by 8?
7
Let f = -23 - -43. What is the remainder when 77 is divided by f?
17
Let v(k) = k**2 + 3*k + 11. Let s be v(10). Suppose s = 5*l + 26. Let d = 17 + -9. What is the remainder when l is divided by d?
7
Let x(f) = f + 6. Let s = 0 + -1. Calculate the remainder when 30 + s - (2 - 4) is divided by x(5).
9
Let l(o) = -o**3 + 7*o**2 - 6*o + 1. Suppose 0*w + 2*w - 2 = 4*z, 3*z = 9. Calculate the remainder when l(4) is divided by w.
4
Let q(u) = 2*u + 25. What is the remainder when q(-7) is divided by 0 - (-1)/((-2)/(-8))?
3
Suppose 4*j + 3*s = 122, s - 1 = 1. What is the remainder when 84 is divided by j?
26
Suppose -42 = -5*v - d, 4*v = 7*v - d - 22. Let y = -22 + 45. Calculate the remainder when y is divided by v.
7
Let p(b) = -2*b**2 - 4*b**2 - 4*b + 4*b**2 + b**2. Let o be p(-3). Suppose 2*u + u + 75 = o*v, 3*v + u = 75. What is the remainder when v is divided by 9?
7
Let n = 12 - -7. Let f = -32 - -60. Suppose 0 = -5*x + 7 + f. Calculate the remainder when n is divided by x.
5
What is the remainder when 45 is divided by (-78)/4*(-46)/69?
6
What is the remainder when 2/((-8)/396*-3) is divided by 17?
16
What is the remainder when 87 is divided by -1*(-6)/(-9)*-12?
7
Let q be (4 - -3) + (-1 - 1). Suppose s - q = -w + 4, 5*w + 10 = 0. What is the remainder when 32 is divided by s?
10
Let i = 7 + 24.