*4 + 1/18*k**6 + 1/9*k**3 + 1/5*k**5. Factor b(d).
d**2*(d + 1)**3/3
Let g be (-2)/(-5) + (-148)/20. Let y = 9 + g. Factor 2*f**3 - 2*f**2 + 4*f - 6*f + 4*f**4 - y*f**4.
2*f*(f - 1)*(f + 1)**2
Let l(p) be the third derivative of -p**6/300 + p**5/150 + p**4/60 - p**3/15 + 12*p**2. Factor l(d).
-2*(d - 1)**2*(d + 1)/5
Let v be (-3)/2*80/(-135). What is y in 2/3*y**2 + 0 + 2/9*y - v*y**3 = 0?
-1/4, 0, 1
Let o(h) = h**3 + 21*h**2 - h - 21. Let v be o(-21). Factor 0 + v*b**2 + 2/3*b**3 - 2/3*b**4 + 0*b.
-2*b**3*(b - 1)/3
Let i(w) = 2*w**2 + w - 1. Let j be i(-2). Factor 2*q**4 - q**4 - q**3 + 2*q**5 + 2*q**2 + j*q**4 + 7*q**3.
2*q**2*(q + 1)**3
Let t(y) be the first derivative of -2/7*y**3 - y**2 + 1/2*y**4 + 2/7*y**5 - 4/7*y - 7. Let t(p) = 0. Calculate p.
-1, -2/5, 1
Factor -25*p**2 - 4*p + 24*p**2 + 3 + 0 - 7.
-(p + 2)**2
Let a be 4/260*-311 + 5. Let g(q) be the first derivative of -a*q**5 - 4/13*q + 6/13*q**3 - 5/26*q**4 + 5/13*q**2 - 1. Determine w so that g(w) = 0.
-1, 2/7, 1
Let l(r) = -r**3 - 6*r**2 + 3. Suppose 2*u - 22 = 3*j + u, j + 2*u - 2 = 0. Let h be l(j). Find g, given that 3*g**2 - 3*g**2 + g**2 - g**h = 0.
0, 1
Let s(p) be the first derivative of 9*p**4/2 - 10*p**3 + 7*p**2 - 2*p - 19. What is g in s(g) = 0?
1/3, 1
Suppose g = 2*h - 12, 18 = -h + 4*h + 3*g. Factor -1 - h*x**3 + 9*x + 3 - 2*x**2 - 3*x.
-2*(x - 1)*(x + 1)*(3*x + 1)
Let l(v) be the second derivative of -v**7/840 + v**6/360 + v**3/6 + 4*v. Let y(u) be the second derivative of l(u). Solve y(z) = 0 for z.
0, 1
Suppose -24 = -j + 3*m, j - 2*m = -j + 40. Suppose -4*s - 3*l + j = 0, 0 = -3*s - 3*l - 0*l + 15. Factor 6*u**2 - 7 + 1 - 15*u + 15*u**s + 0.
3*(u - 1)*(u + 1)*(5*u + 2)
Let i = 3 + 2. Let d(t) = -3*t**4 - 4*t**3 + t**2. Let a be (-16)/12*3/(-2). Let r(b) = 7*b**4 + 9*b**3 - 3*b**2. Let h(j) = a*r(j) + i*d(j). Factor h(o).
-o**2*(o + 1)**2
Suppose -4 = -3*h + h. Find m such that -8/5 - 8/5*m - 2/5*m**h = 0.
-2
Let u(m) be the third derivative of -5*m**8/672 - 13*m**7/420 - 3*m**6/80 + m**5/120 + m**4/24 + 2*m**2. Suppose u(o) = 0. Calculate o.
-1, 0, 2/5
Let u(c) = c - 1. Let b(h) = -h**2 + 3. Let x(n) = -b(n) + 2*u(n). Let z(q) = q**2 + 2*q - 6. Let l(g) = 7*x(g) - 6*z(g). Find f, given that l(f) = 0.
-1
Let y(f) be the third derivative of 0 + 1/36*f**4 + 0*f**3 + 1/90*f**5 + 0*f - 2*f**2. Find g such that y(g) = 0.
-1, 0
Let d = -190 + 951/5. Factor -d*n + 0 - 1/5*n**2.
-n*(n + 1)/5
Let o(t) be the second derivative of -1/18*t**3 + 0 - 2*t + 1/36*t**4 - 1/180*t**5 + 2*t**2. Let k(g) be the first derivative of o(g). Factor k(r).
-(r - 1)**2/3
Let k(s) = 2*s**4 + 5*s**3 + 4*s**2 - 11*s + 5. Let i(g) = 3*g**4 + 9*g**3 + 9*g**2 - 21*g + 9. Let a(z) = 5*i(z) - 9*k(z). Suppose a(x) = 0. What is x?
-2, 0, 1
Let s be 1/(-10)*(-10)/70. Let i(r) be the second derivative of 2*r + 0*r**2 + 1/21*r**3 - s*r**5 + 0 + 0*r**4. Factor i(p).
-2*p*(p - 1)*(p + 1)/7
Let d(u) be the second derivative of -u**6/15 + u**5/2 - 4*u**4/3 + 4*u**3/3 - 2*u. Factor d(q).
-2*q*(q - 2)**2*(q - 1)
Let f be ((-2)/5)/((-14)/105). Suppose -1/3*t**4 - 7/3*t - 2/3 - 5/3*t**f - 3*t**2 = 0. Calculate t.
-2, -1
Let c(r) be the first derivative of 2*r**5/11 + 9*r**4/22 + 2*r**3/11 - r**2/11 - 4. Let c(t) = 0. Calculate t.
-1, 0, 1/5
Determine c, given that 0*c - 2*c + 9*c**3 - 3*c**3 - c**4 + 1 - 4*c**3 = 0.
-1, 1
Let w(p) be the first derivative of 5*p**6/24 - 15*p**4/16 - 5*p**3/6 - 17. Factor w(d).
5*d**2*(d - 2)*(d + 1)**2/4
Let a = -335/4 + 87. Let t = a - 3. Find q such that -t*q**3 - 5/4*q**5 + 2*q**4 - 1/2*q**2 + 0*q + 0 = 0.
-2/5, 0, 1
Factor 3*c + 4*c**2 + 494 + 9*c - 486.
4*(c + 1)*(c + 2)
Let q be ((-4)/50)/((-2)/10). Suppose 2/5*c**2 - q*c + 0 = 0. Calculate c.
0, 1
Let y(t) = 3*t**2 - 5*t + 2. Let k(q) = -q**2 + q. Let v(f) = -4*k(f) - y(f). Let a be v(-2). Factor 0*c + 1/3*c**3 + a + 1/3*c**2.
c**2*(c + 1)/3
Find y such that 0 + 0*y**2 + 2/5*y**3 - 1/5*y**5 - 1/5*y + 0*y**4 = 0.
-1, 0, 1
Let k = 7 + -10. Let r(s) = -6*s**5 + 3*s**3 + 6*s**2 + 3. Let q(m) = 7*m**5 - m**4 - 3*m**3 - 7*m**2 - 4. Let t(o) = k*q(o) - 4*r(o). Factor t(i).
3*i**2*(i - 1)*(i + 1)**2
Factor -4/9*j**2 + 4/9 - 2/9*j + 2/9*j**3.
2*(j - 2)*(j - 1)*(j + 1)/9
Let b be (-5)/((-25)/(-20)) - (-40)/9. What is k in -2/9*k**2 - b*k**3 + 0 + 2/9*k = 0?
-1, 0, 1/2
Let g(v) = -v**3 + 8*v**2 - 6*v - 4. Let u be g(7). Suppose u*o - 2 = 4. Find l such that 1/2*l**5 + 0*l - 1/2*l**o - 1/2*l**3 + 1/2*l**4 + 0 = 0.
-1, 0, 1
Let o(j) be the second derivative of -1/21*j**4 + 4/7*j**2 - j + 0 + 2/21*j**3. Factor o(k).
-4*(k - 2)*(k + 1)/7
Factor 3/2*b - 7/2*b**3 + 3/2*b**2 + 3/2*b**4 - 1.
(b - 1)**3*(3*b + 2)/2
Let c(w) = w**3 + 14*w**2 + 14*w + 16. Let s be c(-13). Let o(u) be the first derivative of -1 + 2/3*u**s + 2*u - 2*u**2. Factor o(t).
2*(t - 1)**2
Let k(o) be the third derivative of 0*o**4 + 0*o**3 + 1/60*o**6 + 0*o**5 + 0*o - 9*o**2 + 0. Factor k(r).
2*r**3
Suppose t + 5 - 3 = 0, 5*t + 10 = -4*g. Suppose -3*s + 0 = q - 3, 14 = s - 4*q. Determine o so that g + 2/3*o**s - 2/3*o**4 + 0*o**3 + 0*o = 0.
-1, 0, 1
Let j = 18 + -14. Let m(b) be the second derivative of 1/15*b**6 + 0*b**3 + b + 1/6*b**j + 1/5*b**5 + 0 + 0*b**2. Factor m(n).
2*n**2*(n + 1)**2
Let m(o) be the third derivative of -12*o**7/35 + 7*o**6/5 - 5*o**5/6 + o**4/6 - 23*o**2. Find x, given that m(x) = 0.
0, 1/6, 2
Let w = 160 + -160. Factor -4/3*x**3 + 0*x**2 + 0*x + w + 2/3*x**4.
2*x**3*(x - 2)/3
Suppose 3*o + 4*c = 13, -4*c + 2 = -2*o + 4. Determine l so that 9*l**2 - 2*l**2 - o*l**3 + 6 - 3*l**4 + 2*l**2 + 15*l = 0.
-1, 2
Suppose -42 = -2*f + 2*y, 4*f - 2*y - 6 = 72. Factor 8*r**2 - f*r**5 - 70 - 32*r**3 + 70 + 42*r**4.
-2*r**2*(r - 1)*(3*r - 2)**2
Let t = 0 - -5. Suppose -2*g - 2*g + 7 = -r, -2*g + t = r. Solve -2*p + g + 1/2*p**2 = 0.
2
Let q(i) be the first derivative of -i**4/7 + 8*i**3/21 - 2*i**2/7 + 39. Solve q(a) = 0.
0, 1
Suppose 32 - 2 = -5*v. Let m = 10 + v. Factor -m*l + l**4 + 6*l**2 - 4*l**3 + 2 + 3 - 4.
(l - 1)**4
Let i(h) be the second derivative of h**6/30 + 3*h**5/100 - 7*h**4/60 - h**3/10 + h**2/5 - 3*h. Let i(l) = 0. Calculate l.
-1, 2/5, 1
Let n be 8/7 + (-3)/(126/12). Suppose -4/7*q**3 - 8/7*q**2 + 4/7*q + 2/7 + n*q**4 = 0. What is q?
-1, -1/3, 1
Let q(s) be the second derivative of -s**6/6 + s**5 - 5*s**4/6 - 10*s**3/3 + 15*s**2/2 + 20*s. Suppose q(z) = 0. What is z?
-1, 1, 3
Suppose 5*g + 0*g + 50 = 0. Let n be 8/6*(-3)/g. Factor 4*s**2 + 2*s + 2/5*s**5 + n + 4*s**3 + 2*s**4.
2*(s + 1)**5/5
Let l be (-34)/(-3)*9/6. Suppose -10 = -w + 7. What is y in l - w - 2*y**2 = 0?
0
Let r(a) = a**2 - 8*a - 8. Let n be r(9). Determine v, given that 0*v**2 + 3/2*v - n - 1/2*v**3 = 0.
-2, 1
Let w(t) = t**3 + 4*t**2 + 4. Let c be w(-4). Factor c*x**3 - 4*x**4 - x**5 - x**3 - x**5 - 5*x**3.
-2*x**3*(x + 1)**2
Let 0 - 7/3*x**2 - 4/3*x - 2/3*x**3 + 1/3*x**4 = 0. Calculate x.
-1, 0, 4
Factor 7*i**3 - 11*i**3 + 2*i**3 + 6*i**3 - 4*i.
4*i*(i - 1)*(i + 1)
Let m(z) = -2*z**5 + 4*z**4 - 13*z**3 + 11*z**2 - 11*z - 11. Let t(h) = h**3 - h**2 + h + 1. Let s(p) = 2*m(p) + 22*t(p). Solve s(b) = 0 for b.
0, 1
Let p = -13 + 7. Let g = -4 - p. Solve 8*q**4 - 3*q**5 + g*q**3 - 2*q**4 + 7*q**5 = 0 for q.
-1, -1/2, 0
Let d be 4/(-16)*0 - (-2)/10. Factor 1/5*s - 1/5*s**2 - 1/5*s**3 + d.
-(s - 1)*(s + 1)**2/5
Let y be ((-2)/36)/(35/15 - 3). Let s(q) be the second derivative of -3*q + y*q**4 - 7/40*q**5 + 0*q**2 + 0 + 0*q**3. Factor s(u).
-u**2*(7*u - 2)/2
What is u in 51*u - 31 + 7 - 3*u**2 - 24*u = 0?
1, 8
Let l be (-38)/6 - (-4)/(-6). Let w be ((-2)/(-4))/(l/(-56)). Find x such that 4*x**w - 12*x**2 - 2*x**4 + 14*x**2 - 4*x**3 = 0.
0, 1
Let c(s) be the first derivative of 2/15*s**5 - 1/2*s**4 + s**2 + 0*s + 6 - 2/9*s**3. Suppose c(p) = 0. What is p?
-1, 0, 1, 3
Suppose -5*t = -3*g - 54, 8 = -0*t + t - 2*g. Let b = t + -8. Determine u so that 9*u**2 - 12*u**3 - 5*u**3 - 2 + 2*u - 15*u**b + 7*u = 0.
-1, 1/5, 2/3
Let x(r) = -5*r**2 + 7*r + r**3 - 4*r**3 + 4*r**3 + 5*r. Let p(s) = -s**3 + 5*s**2 - 11*s + 1. Let m(q) = 4*p(q) + 3*x(q). Determine y so that m(y) = 0.
1, 2
Solve -5*v**2 - 3 - 25*v - 8 + 11 = 0.
-5, 0
Let z(w) be the third derivative of 0 + 0*w**4 - 1/3*w**3 + 0*w**6 + 0*w + 0*w**5 - w**2 + 1/840*w**7. Let r(i) be the first derivative of z(i). Factor r(s).
s**3
S