t 8*o**j + 30*o**5 - 38*o**3 - 4*o + 9*o - 8*o**2 + 3*o = 0. Calculate o.
-1, -2/3, 0, 2/5, 1
Let o(g) = -4*g - 8. Let s be o(-2). Let l(x) be the third derivative of -1/24*x**4 + 3*x**2 - 1/60*x**5 + 0 + 1/3*x**3 + s*x. Factor l(a).
-(a - 1)*(a + 2)
Let l(r) = r**5 + 13*r**4 - r**3 - 8*r**2 - 5*r. Let h(p) = -p**5 - 7*p**4 + p**3 + 4*p**2 + 3*p. Let m(v) = 10*h(v) + 6*l(v). Suppose m(k) = 0. Calculate k.
-1, 0, 1, 2
Let p(g) be the second derivative of g**5/30 - g**3/3 - 2*g**2/3 + 17*g. Let p(s) = 0. What is s?
-1, 2
Factor -5*g**4 + 5*g**3 - 8*g**5 + 0*g**4 - 2*g**5.
-5*g**3*(g + 1)*(2*g - 1)
Let n = 14 + -12. Suppose 2*j + 3*j = 10. Factor -4*a**n + a**j + 2*a - 8*a.
-3*a*(a + 2)
Let w = -14 + 16. Let -1 + 6*d**w - 12*d**2 + 3*d**2 - 3*d**3 + 4*d**3 + 3*d = 0. Calculate d.
1
Let p(g) be the third derivative of 0 + 2*g**2 + 1/360*g**6 - 1/3*g**3 + 0*g**4 + 0*g**5 + 0*g. Let i(l) be the first derivative of p(l). Solve i(f) = 0.
0
Let p = -2 - -5/2. Let j(b) be the first derivative of 1 + 0*b + 1/4*b**4 + p*b**2 + 2/3*b**3. Let j(v) = 0. What is v?
-1, 0
Let m be ((-6)/(-10))/((-2)/(-50)). Suppose 4*z = z + m. Factor 14/5*f**z + 0 + 0*f - 24/5*f**4 + 4/5*f**2 + 6/5*f**3.
2*f**2*(f - 1)**2*(7*f + 2)/5
Let h(k) = 4*k + 0*k**3 - k**3 - 6*k**4 - 4*k**2 + 2*k. Let c(m) = m**4 + m**2 - m. Let z(u) = 2*u - 7. Let v be z(6). Let l(n) = v*c(n) + h(n). Factor l(b).
-b*(b - 1)*(b + 1)**2
Let b(u) be the third derivative of u**5/120 + u**4/24 + u**3/12 + 3*u**2. Suppose b(c) = 0. What is c?
-1
Let g = -25 - -30. Suppose 12*o**5 + 5*o**4 + g*o**3 - 5*o**3 - 9*o**5 + 2*o**3 = 0. Calculate o.
-1, -2/3, 0
Let y be -2 + -1 - (-687)/(-9). Let m = y + 80. Solve -2/3*c**3 + 0 - 4/3*c**2 - m*c = 0 for c.
-1, 0
Suppose 3*r - 4*r - 3 = -x, 0 = 5*x + 2*r + 6. Determine a, given that -2/3*a**2 + 0*a - 2/3*a**3 + x = 0.
-1, 0
Let w(q) be the first derivative of q**4/8 - 5*q**3/6 + q**2 + 54. Factor w(t).
t*(t - 4)*(t - 1)/2
Let u(b) be the third derivative of -1/21*b**3 + 0*b**4 + 0*b + 3*b**2 + 1/210*b**5 + 0. Let u(z) = 0. What is z?
-1, 1
Let 40*q**2 + 3*q**5 - 6*q**5 + 8*q**5 + 35*q**4 + 70*q**3 = 0. Calculate q.
-4, -2, -1, 0
Let -7*v**3 + 12*v**3 - 2*v**4 - 5*v**5 - 3*v**4 + 5*v**3 = 0. What is v?
-2, 0, 1
Let h(f) = -f**3 - 6*f**2 + 14*f - 11. Let r be h(-8). Suppose -m**4 + 0 + m**3 - 1/3*m**2 + 1/3*m**r + 0*m = 0. Calculate m.
0, 1
Let s = -93 - -93. Solve -8/13 + s*z + 6/13*z**2 + 2/13*z**3 = 0 for z.
-2, 1
Let j(b) be the second derivative of -b**7/70 - b**6/50 + 3*b**5/100 + b**4/20 - 21*b. What is n in j(n) = 0?
-1, 0, 1
Factor 0*i + 2/7*i**2 - 2/7*i**3 + 0.
-2*i**2*(i - 1)/7
Let z = 4 + -1. Solve 7 - 6*o**2 - o**3 + 4*o**3 - z*o - 1 = 0 for o.
-1, 1, 2
Let d(k) be the first derivative of k**3 - 6*k**2 + 9*k - 18. Factor d(j).
3*(j - 3)*(j - 1)
Let d(x) be the second derivative of x**7/70 - x**6/30 - x**5/100 + x**4/12 - x**3/15 - 4*x. Solve d(y) = 0 for y.
-1, 0, 2/3, 1
Suppose 0*z + 3*z = -9, -2*s - 3*z = 5. Factor s + 133*w - 2*w**2 - 7*w**2 - 126*w.
-(w - 1)*(9*w + 2)
Suppose 3*v - 4*w + 16 = -0*w, w = 4. Suppose -2/7*c**4 - 2/7*c**2 + 0 + 4/7*c**3 + v*c = 0. Calculate c.
0, 1
Let m(j) = j**3 - 7*j**2 - 7*j - 8. Let r be m(8). Factor 1/3*c + 1/3*c**2 + r.
c*(c + 1)/3
Let n(x) be the second derivative of 3*x - 1/20*x**5 + 0*x**3 + 0 + 1/12*x**4 + 0*x**2. Factor n(w).
-w**2*(w - 1)
Let k(n) be the first derivative of -n**2/2 + 2*n + 2. Let f be k(0). Suppose 4 + 2 - 4*t**f - 18*t - 2 + 18*t**3 = 0. Calculate t.
-1, 2/9, 1
Let d(y) be the second derivative of 1/18*y**4 + 0*y**2 - 1/30*y**5 + 2/9*y**3 + 0 - 3*y. Factor d(l).
-2*l*(l - 2)*(l + 1)/3
Let m(a) be the first derivative of 1/3*a**4 - 2/3*a - 4/9*a**3 + 2 + 1/9*a**6 - a**2 + 2/5*a**5. Let m(y) = 0. Calculate y.
-1, 1
Factor 12*l**4 + 18*l**2 + 2 + 1 - 24*l - 15*l**4 + 6.
-3*(l - 1)**3*(l + 3)
Suppose 0 - 1/4*r + 3/4*r**2 + 1/4*r**4 - 3/4*r**3 = 0. What is r?
0, 1
Let o = -7 - -9. What is v in 3*v**3 + 3*v**2 - 4*v**o + 0*v**2 - v**4 - v**3 = 0?
0, 1
Let l(t) be the third derivative of -t**7/3780 + t**5/180 - t**4/12 - t**2. Let m(a) be the second derivative of l(a). Factor m(b).
-2*(b - 1)*(b + 1)/3
Let b(j) be the first derivative of 1/20*j**5 - 1 - 1/12*j**4 + 0*j**2 - 2*j - 1/3*j**3. Let s(a) be the first derivative of b(a). What is w in s(w) = 0?
-1, 0, 2
Let w = -4 + 1. Let b be (-1)/(-1)*w + 3. Factor 2/3*u**2 + 0*u + b - 2/3*u**4 + 2/3*u**3 - 2/3*u**5.
-2*u**2*(u - 1)*(u + 1)**2/3
Let z(k) = k**3 - 3*k. Let x(w) = 5*w**3 - 15*w - 1. Let v(m) = -6*x(m) + 33*z(m). Solve v(p) = 0 for p.
-2, 1
Let x be (3/42)/(-1*5/(-10)). Factor 1/7*j**2 + 0 + x*j.
j*(j + 1)/7
Factor 2/13*y**5 + 0*y - 4/13*y**2 + 0*y**4 - 6/13*y**3 + 0.
2*y**2*(y - 2)*(y + 1)**2/13
Let f = -19/33 + -593/231. Let b = -37/14 - f. Suppose -u + 1/2 + b*u**2 = 0. Calculate u.
1
Let w be (-2)/5 - (-36)/15. Let -9*f**3 - 6*f**2 + 6*f**3 + 22*f**w - 81*f + 11*f**2 + 81 = 0. What is f?
3
Let s be 2/(3/114*8). Let t = s - 9. Suppose 1/4 - t*i**3 + 0*i - 3/4*i**2 = 0. Calculate i.
-1, 1/2
Find o such that -5*o**5 - 35 - 10*o + 35 + 25*o**4 + 35*o**2 - 45*o**3 = 0.
0, 1, 2
Let f(t) be the second derivative of -t**5/30 - t**4/6 + t**3/9 + t**2 - 24*t. Factor f(w).
-2*(w - 1)*(w + 1)*(w + 3)/3
Let f be 235/8*24/(-620). Let i = -12/31 - f. Suppose 3/4*p**4 + 3/4*p**5 - 9/4*p**3 - i*p**2 + 0 + 3/2*p = 0. Calculate p.
-2, -1, 0, 1
Let q(v) be the third derivative of -v**6/40 + 3*v**4/8 + v**3 - 10*v**2. Find o such that q(o) = 0.
-1, 2
Let o be (-4*2/32)/(1/(-2)). Let g = -2/73 - -223/146. Factor g*l + 1/2*l**3 + 3/2*l**2 + o.
(l + 1)**3/2
Let u(h) be the second derivative of -h**5/60 + h**4/36 + h**3/18 - h**2/6 - 5*h. Factor u(q).
-(q - 1)**2*(q + 1)/3
Let b(r) = -4*r**4 + 18*r**3 + 52*r**2 + 72*r + 42. Let l(j) = -j**4 - j**2 - j + 1. Let h(o) = -b(o) + 6*l(o). Suppose h(v) = 0. Calculate v.
-3, -2, -1
Factor 9*y**5 + 7*y**4 - 8*y**5 + 5*y**3 + 4*y**5 + 3*y**4.
5*y**3*(y + 1)**2
Let o(f) be the third derivative of f**10/831600 - f**8/110880 + f**5/20 - 3*f**2. Let q(k) be the third derivative of o(k). Find t, given that q(t) = 0.
-1, 0, 1
Let w(z) be the second derivative of -z**5/20 + z**4/6 - z**3/3 + z**2/2 - z. Let k be w(1). Suppose -2/3*r + k - 2/3*r**2 = 0. What is r?
-1, 0
Let g(y) be the third derivative of -y**5/60 + 11*y**4/12 - 121*y**3/6 + 55*y**2. Factor g(m).
-(m - 11)**2
Suppose 0 = -5*z + z + 16. Let i be 4/(-5) - z/(-5). Factor 0*b**2 + 0 + 1/5*b**3 + i*b.
b**3/5
Let z(v) be the third derivative of -v**6/60 + 2*v**5/15 - 5*v**4/12 + 2*v**3/3 + 10*v**2. Factor z(l).
-2*(l - 2)*(l - 1)**2
Let y(u) = u**2 - 3*u - 2. Let z be (-16)/4*(-51)/(-4). Let g(c) = 8*c**2 - 25*c - 16. Let o(h) = z*y(h) + 6*g(h). Factor o(i).
-3*(i - 2)*(i + 1)
Suppose 5 = -d + 6*d + q, 2*q = -4*d - 2. Factor n - 3*n**2 - 2*n + 3*n**2 + n**d.
n*(n - 1)
Let q(h) = -h**4 - 7*h**3 - h**2 - 9*h + 18. Let b(m) = m**3 + m - 2. Let n(y) = -36*b(y) - 4*q(y). Determine i, given that n(i) = 0.
0, 1
Let f = 22 + -22. Factor -1/2*n**4 - n**3 - 1/2*n**2 + f + 0*n.
-n**2*(n + 1)**2/2
Let u(c) = -c**2 - c - 1. Suppose -2*z + 0 = 6. Let l(m) = -4*m**2 - 5. Let p(k) = z*u(k) + l(k). Suppose p(a) = 0. What is a?
1, 2
Let h(f) be the first derivative of -4/11*f - 3/11*f**2 + 2 + 10/33*f**3. Factor h(s).
2*(s - 1)*(5*s + 2)/11
Suppose -5*h + 16 = -14. Suppose 3*u - h = 5*w, 2*u + 3*w - 6 = -u. Factor -2/3*y**4 + 0*y + 4/3*y**u + 0*y**3 - 2/3.
-2*(y - 1)**2*(y + 1)**2/3
Let i = 698 + -696. Let 0 + 0*j**3 - 4/5*j**4 + 2/5*j - 2/5*j**5 + 4/5*j**i = 0. What is j?
-1, 0, 1
Let p = 293 - 10547/36. Let s(z) be the third derivative of p*z**4 + 0 + z**2 + 0*z + 1/18*z**3 + 1/180*z**5. Suppose s(y) = 0. Calculate y.
-1
Let x(d) be the first derivative of -d**4/16 + d**3/3 - 5*d**2/8 + d/2 + 12. Factor x(u).
-(u - 2)*(u - 1)**2/4
Let f(i) = -5*i**5 + 35*i**3 + 25*i**2 + 20*i + 25. Let z(p) = -p**3 - p**2 - p - 1. Let r(a) = f(a) + 25*z(a). Factor r(v).
-5*v*(v - 1)**2*(v + 1)**2
Find a, given that 3*a - 3/4*a**2 - 3 = 0.
2
Suppose 6*g - 5*g - 3 = 0. Let k(c) be the second derivative of 1/18*c**4 + 0*c**g + 2*c + 0*c**2 - 1/45*c**6 + 0 + 0*c**5. Factor k(n).
-2*n**2*(n - 1)*(n + 1)/3
Suppose -c = 22 - 17. Let w be 3/(-6)*(-5 - c). Factor 0*i + w + 3/4*i**3 - 3/4*i**2.
3*i**2*(i 