 -4)) + -3. Let w(o) be the second derivative of -o - 4/7*o**3 + 0 - 8/7*o**n - 1/70*o**5 - 1/7*o**4. Factor w(y).
-2*(y + 2)**3/7
Factor -8*l**4 + 6*l**3 + 33*l**2 - 15*l - 27*l**3 + 11*l**4.
3*l*(l - 5)*(l - 1)**2
Let b = 3/404 + 793/2020. Factor -4/5*l**3 + b*l**5 + 0*l**2 + 0*l**4 + 2/5*l + 0.
2*l*(l - 1)**2*(l + 1)**2/5
Let g(p) be the first derivative of p**2 - p + 2/3*p**3 - 1/3*p**6 - 4 + 7/5*p**5 - 2*p**4. Factor g(w).
-(w - 1)**4*(2*w + 1)
Let y = 5 + -2. Find f, given that -2 - y*f**2 + 2 + 3*f = 0.
0, 1
Let g(k) = k**5 + k**4 - k**2 + 1. Let s(d) = 15*d**5 - 99*d**4 - 9*d**3 + 99*d**2 - 18*d - 12. Let w(n) = 12*g(n) + s(n). Determine z so that w(z) = 0.
-1, 0, 2/9, 1, 3
Let v(b) = b**2 - 1. Let h(a) = a**2 - 2*a - 3. Let d(k) = -h(k) + 2*v(k). Factor d(r).
(r + 1)**2
Let b(w) be the third derivative of -1/540*w**6 + 0*w**4 + 0*w**3 + 0*w**5 + 0 - 1/1512*w**8 + 0*w + 2/945*w**7 + 3*w**2. Factor b(d).
-2*d**3*(d - 1)**2/9
Solve 2/3 - 5/3*a**2 - 1/3*a**3 + 1/3*a + a**4 = 0.
-1, -2/3, 1
Let b(g) be the third derivative of -g**2 + 1/105*g**7 + 0*g**3 + 1/30*g**5 + 1/48*g**4 + 0 + 1/40*g**6 + 1/672*g**8 + 0*g. Factor b(l).
l*(l + 1)**4/2
Let n be (2/(-2) - 0)*-5. Let o(q) = q**2 + 1 - 3*q + 10*q + 6*q**2. Let h(i) = -3*i**2 - 3*i. Let j(l) = n*h(l) + 2*o(l). Factor j(u).
-(u - 1)*(u + 2)
Let m be 1/(-2)*(0 + -4). Let b(y) = -3*y**3 + 3*y**2 - 3*y - 3. Let c(x) = 3*x**3 - 2*x**2 + 2*x + 2. Let i(w) = m*b(w) + 3*c(w). Factor i(s).
3*s**3
Let t(z) be the second derivative of z**8/3360 + z**7/1260 - z**4/6 - z. Let o(f) be the third derivative of t(f). Factor o(s).
2*s**2*(s + 1)
Let s(g) = g**2 - g. Let u(p) = p - 4. Let m be u(8). Suppose 4 = 5*k - n - m, 0 = -2*k + 2*n + 8. Let z(y) = -2*y + 2. Let c(a) = k*z(a) + 2*s(a). Factor c(q).
2*(q - 1)**2
Suppose -4*p + 4 = 4*y - 4, 0 = -5*y. Factor -3/4 + 3/2*j - 3/4*j**p.
-3*(j - 1)**2/4
Let v(q) be the first derivative of -q**5 + 25*q**4/4 - 35*q**3/3 + 15*q**2/2 + 3. Let v(m) = 0. Calculate m.
0, 1, 3
Let a(w) be the second derivative of 2*w**7/147 - 2*w**6/105 - w**5/7 - w**4/7 + 3*w. Let a(t) = 0. What is t?
-1, 0, 3
What is w in -7 - 5*w**4 + 22 - 3*w + 30*w**2 - 37*w = 0?
-3, 1
Let w(n) = -16*n**4 + 8*n**3 - 20*n - 20. Let q(a) = -a**4 + a**3 - a - 1. Let g(l) = 20*q(l) - w(l). Factor g(p).
-4*p**3*(p - 3)
Let t(w) be the first derivative of -w**4/10 + 2*w**3/3 - 7*w**2/5 + 6*w/5 + 52. Let t(y) = 0. Calculate y.
1, 3
Let q(k) = k**3 - 7*k**2 + 5*k + 9. Let b be q(6). Suppose -8/11*c**b + 0 + 0*c + 2/11*c**2 = 0. What is c?
0, 1/4
Let l(k) be the third derivative of 0 + 0*k + 1/2*k**3 + 3/70*k**7 + 3/5*k**5 - 3/4*k**4 - 1/4*k**6 - 6*k**2. Factor l(x).
3*(x - 1)**3*(3*x - 1)
Factor 2*x**4 + 24*x**2 - 5*x**3 + 3*x**4 + 5*x - 29*x**2.
5*x*(x - 1)**2*(x + 1)
Let k(r) be the third derivative of -1/480*r**6 + 0*r**5 + 0 + r**2 + 1/32*r**4 + 0*r - 1/12*r**3. Determine p, given that k(p) = 0.
-2, 1
Find z, given that 22*z**3 - 36*z**3 - 78*z + 564*z + 16*z**3 - 54*z**2 - 1458 = 0.
9
Let l(d) be the third derivative of 0*d + 3*d**2 + 1/105*d**7 + 0 + 0*d**4 - 1/100*d**6 + 0*d**3 - 1/75*d**5. Let l(i) = 0. Calculate i.
-2/5, 0, 1
Let r be 1 + (-2 - 0) + 1. Factor -98/9*b**5 + 16/3*b**3 + r - 8/9*b**2 - 14/3*b**4 + 0*b.
-2*b**2*(b + 1)*(7*b - 2)**2/9
Let f(c) be the third derivative of c**7/2940 - c**6/420 + c**5/140 - c**4/84 + c**3/6 - 4*c**2. Let y(l) be the first derivative of f(l). Factor y(p).
2*(p - 1)**3/7
Suppose 10/7*m - 2/7*m**2 + 0 = 0. What is m?
0, 5
Let g(u) be the second derivative of u**7/12600 + u**6/3600 + u**4/6 + u. Let t(f) be the third derivative of g(f). Solve t(a) = 0 for a.
-1, 0
Let o(r) be the first derivative of 4 - 1/18*r**4 + 2/45*r**5 + 0*r + 0*r**2 + 0*r**3. Find l, given that o(l) = 0.
0, 1
Let h(l) be the second derivative of l**6/10 + 3*l**5/5 + 3*l**4/2 + 2*l**3 + 3*l**2/2 + 20*l. Factor h(p).
3*(p + 1)**4
Let z = -61 - -65. Let s(t) be the second derivative of 0 + 0*t**z - 1/21*t**7 + 1/10*t**5 - 3*t + 0*t**3 + 0*t**2 + 0*t**6. Factor s(v).
-2*v**3*(v - 1)*(v + 1)
Let l be 1/3 - 58/435. Suppose 0 + 1/5*g**2 - l*g = 0. What is g?
0, 1
Let p(o) = o**3 + 20*o**2 + 18*o - 19. Let h be p(-19). Solve 9/5*q**2 + 3/5*q**3 - 12/5 + h*q = 0 for q.
-2, 1
Find q, given that 18*q**2 - 67 - 6*q**4 + 4*q**3 + 126 - 67 = 0.
-1, 2/3, 2
Suppose 0 = -39*c + 12*c + 54. Factor 3/2 + 13/2*l + 8*l**2 + c*l**3.
(l + 3)*(2*l + 1)**2/2
Let y(f) be the second derivative of f**8/336 + f**7/70 + f**6/120 - f**5/20 - f**4/12 - 4*f**2 - 6*f. Let q(b) be the first derivative of y(b). Factor q(m).
m*(m - 1)*(m + 1)**2*(m + 2)
Let w(a) = -a**3 + 6*a**2 + a - 1. Let y be w(6). Suppose 0 = l + 3*f + 6 + 3, -y*l = -3*f - 27. Let -x**3 - 1 - 3*x + 2*x - 2*x - l*x**2 = 0. Calculate x.
-1
Suppose -5*l = -i + 2*i - 20, 16 = i + l. Let k be 3/1 + (15 - i). Factor 2/9*x**k + 8/9 - 2/3*x**2 + 0*x.
2*(x - 2)**2*(x + 1)/9
Let z = 8/67 - 461/4422. Let r(m) be the second derivative of 1/11*m**3 - 2/11*m**2 + 0 - z*m**4 + m. Let r(q) = 0. What is q?
1, 2
Suppose q = -2*q + 9. Let x(r) = -r + 2. Let l be x(0). Solve 4*n**4 + n**5 + 0*n + n**5 - n**l - q*n**2 - 2*n = 0 for n.
-1, 0, 1
Let x(r) be the second derivative of 0 - 1/3*r**3 + 2*r**2 - 1/3*r**4 + 1/10*r**5 - 3*r. Factor x(v).
2*(v - 2)*(v - 1)*(v + 1)
Let f(n) = 5*n - 6 - 1 - n**2 + 3. Let u be f(3). Determine q so that -q + u*q**2 - 5*q + 0*q**2 + 4 = 0.
1, 2
Suppose 4*k - 20 = 0, 5*k - 2 = 4*l + 3*k. Let -2/3*x**l - 1/3*x**3 + 0*x + 0 = 0. What is x?
-2, 0
Let -121/4 + 11/2*q - 1/4*q**2 = 0. Calculate q.
11
Let j = 5 + -3. Suppose -x + 0*x + 3 = 0. Solve 3*l**2 + 4 + j*l - 6*l + l**2 - x*l**2 = 0.
2
Determine g, given that 8*g - 4/5*g**2 - 12/5*g**4 + 16/5 - 58/5*g**3 + 18/5*g**5 = 0.
-1, -2/3, 1, 2
Let t(d) = 6 + 8*d + d - 4 - d**2 + 2*d. Let x be t(11). Solve 18*j**4 + 6*j**x + 0 + 18*j**3 + 2/3*j = 0.
-1/3, 0
Let y be (2/36)/((-2)/(-8)). Let h = y + 1/9. Find o, given that 0*o - h*o**3 + 1/3*o**4 - 1/3*o**2 + 1/3*o**5 + 0 = 0.
-1, 0, 1
Let r(d) = 42*d - 252. Let j be r(6). Factor -2/3*c**2 + j*c**4 - 4/3*c**3 + 2/3 + 1/3*c**5 + c.
(c - 2)*(c - 1)*(c + 1)**3/3
Let k(x) be the first derivative of -x**6 + x**5 + 3*x**3 + 3*x**2 - 7*x - 1. Let o(i) = -i**5 + i**4 + i**2 + i - 1. Let b(s) = -3*k(s) + 21*o(s). Factor b(q).
-3*q*(q - 1)**3*(q + 1)
Determine t so that -18/5*t - 9/5*t**4 + 0 - 39/5*t**2 - 1/5*t**5 - 29/5*t**3 = 0.
-3, -2, -1, 0
Let v(a) be the first derivative of -a**6/39 + 8*a**5/65 - 3*a**4/13 + 8*a**3/39 - a**2/13 - 3. Factor v(r).
-2*r*(r - 1)**4/13
Let b(r) be the first derivative of -3*r**5/40 - 9*r**4/16 - 3*r**3/2 - 15*r**2/8 - 9*r/8 + 4. Factor b(c).
-3*(c + 1)**3*(c + 3)/8
Let t = -15 - -18. Let k(y) be the first derivative of -1/9*y**t - 1 - 1/6*y**2 + 0*y + 1/12*y**4 + 1/15*y**5. Factor k(m).
m*(m - 1)*(m + 1)**2/3
Let d(m) be the first derivative of -2*m**6/15 + m**5/2 - m**4/2 - m**3/3 + m**2 + 6*m + 2. Let c(i) be the first derivative of d(i). Solve c(t) = 0 for t.
-1/2, 1
Let g(w) be the second derivative of w**4 + 1/5*w**5 + w - 2/3*w**3 - 6*w**2 + 0. Determine p, given that g(p) = 0.
-3, -1, 1
Let t(m) be the second derivative of m**7/56 + m**6/40 - 3*m**5/16 - m**4/16 + m**3 - 3*m**2/2 + 36*m. Factor t(i).
3*(i - 1)**3*(i + 2)**2/4
Let u(c) = -c + 12. Let j be u(6). Suppose 2*x - x - j = 0. Factor -z**3 + 0*z**2 - x*z**3 - 2*z**2 - 5*z**4.
-z**2*(z + 1)*(5*z + 2)
Let i(z) be the third derivative of 0*z**3 - 224/15*z**5 + 0 + 196/5*z**6 - 784/15*z**7 + 0*z + 10*z**2 + 8/3*z**4 + 343/12*z**8. Find y such that i(y) = 0.
0, 2/7
Let h be (-1)/(-5)*7/7. Let j(a) be the second derivative of -4/15*a**4 + h*a**2 - 9/100*a**5 - 1/6*a**3 - 2*a + 0. Let j(f) = 0. Calculate f.
-1, 2/9
Let o(s) be the first derivative of -5*s**6/6 + 2*s**5 + 5*s**4/2 - 20*s**3/3 - 5*s**2/2 + 10*s - 15. Let o(m) = 0. Calculate m.
-1, 1, 2
Let o(c) be the third derivative of -c**6/60 + c**5/30 + c**4/2 + 25*c**2. Suppose o(g) = 0. What is g?
-2, 0, 3
Let g(x) be the second derivative of -x**6/6 - 11*x**5/16 - 15*x**4/16 - 5*x**3/24 + 5*x**2/8 + 6*x. Find k, given that g(k) = 0.
-1, 1/4
Suppose -d - 3*m + 24 = 0, -4*d + 5*m + 80 = m. Let c = d + -21. Let 14/11*k**3 - 4/11*k + 10/11*k**2 + c = 0. What is k?
-1, 0, 2/7
Let g(n) = -n**3 - 6*n**2 - 4*n + 