 + 1)/2
Let g(s) be the second derivative of 2*s**6/15 - s**5/5 - 2*s**4/3 + 11*s. Factor g(o).
4*o**2*(o - 2)*(o + 1)
Factor 9*g**2 + 5*g**2 + 0*g**3 - 4*g**3 - 6*g**2.
-4*g**2*(g - 2)
Let g be (-1 - -1) + -1 - -5. Let o be 13/18 - g/18. Determine z, given that 0 - z - o*z**2 = 0.
-2, 0
Let k(m) be the third derivative of 0*m - 5/12*m**4 + m**2 + 0 + 2/15*m**5 + 1/3*m**3. Solve k(f) = 0 for f.
1/4, 1
Factor -12 - 21*i - 3*i + 2*i**2 - 11*i**2.
-3*(i + 2)*(3*i + 2)
Let g(m) be the third derivative of -m**6/1080 + m**4/216 + 24*m**2. Factor g(f).
-f*(f - 1)*(f + 1)/9
Let t(j) = -j - 1. Let z be t(5). Let k be -6*((-8)/z)/(-4). Solve 1/4*g - 1/2*g**k + 1/4*g**3 + 0 = 0 for g.
0, 1
Let o be (-2)/11 - (-3 + 18/22). Suppose 0 + 2/5*c - 2/5*c**3 - 2/5*c**4 + 2/5*c**o = 0. What is c?
-1, 0, 1
Let w = -172 - -174. Factor 4/3*z + 2*z**w + 0 + 2/3*z**3.
2*z*(z + 1)*(z + 2)/3
Let u(c) be the third derivative of -c**6/120 + 7*c**5/20 - 33*c**4/8 - 121*c**3/6 - 59*c**2. Find w, given that u(w) = 0.
-1, 11
Let z = -120/11 + 688/55. Let k be (-12 - -11)*4/(-10). Factor k*y**3 - 4/5 - z*y**2 + 2*y.
2*(y - 2)*(y - 1)**2/5
Factor 6*g + 5/2*g**3 + 9*g**2 - 4.
(g + 2)**2*(5*g - 2)/2
Let a(p) = -2*p**4 + 8*p**3 + 4*p**2 - 8*p + 2. Let f(l) = -6*l**4 + 24*l**3 + 13*l**2 - 24*l + 7. Let m(u) = 7*a(u) - 2*f(u). Solve m(r) = 0 for r.
-1, 0, 1, 4
Let n(o) be the first derivative of -4/21*o**3 + o - 9/70*o**5 + 0*o**2 - 2 + 2/7*o**4. Let m(b) be the first derivative of n(b). Factor m(d).
-2*d*(3*d - 2)**2/7
Let i = -362 + 1457/4. Suppose 0 + 0*v + 3/4*v**2 + 9/4*v**4 + i*v**3 + 3/4*v**5 = 0. Calculate v.
-1, 0
Let i be (-2)/7 - 16/(-7). Let p be (12/(-16))/(i/(-8)). Let x(l) = -l**2 + l + 3. Let u(f) = f**2 - 2*f - 4. Let j(v) = p*u(v) + 4*x(v). Factor j(z).
-z*(z + 2)
Suppose 18 = -f + 4*w, 4*f + 3*w = 2 + 21. Factor -f*s**2 + 9*s**3 - 2 - s**3 - 2*s + 10*s**2.
2*(s + 1)*(2*s - 1)*(2*s + 1)
Let p(w) be the third derivative of -1/20*w**6 - 1/12*w**4 + 0*w - 3*w**2 + 0*w**3 - 1/105*w**7 + 0 - 1/10*w**5. Find b, given that p(b) = 0.
-1, 0
Let a(l) be the second derivative of -3*l - 1/3*l**3 + 1/2*l**2 + 0 + 1/12*l**4. Find u, given that a(u) = 0.
1
Solve -26*d**2 - 34*d**2 + 60*d**2 + 4*d**5 - 4*d**4 = 0.
0, 1
Let l(n) be the first derivative of -n**7/1260 + n**6/540 + n**5/90 - 4*n**3/3 + 2. Let k(u) be the third derivative of l(u). Solve k(p) = 0 for p.
-1, 0, 2
Let i = -7 - -11. Factor 8*y**2 - y - 2*y**2 + y**5 + 2*y**i - 8*y**2.
y*(y - 1)*(y + 1)**3
Let t be -4 + -3 + (-150)/(-18). Suppose t*w - 1/3*w**2 - 1 = 0. Calculate w.
1, 3
Let h be 1 + -1 + 1 + 0. Suppose 0*r + 5*u = 5*r - 5, 2*u = -4*r + 10. Factor k - k + k**r - h.
(k - 1)*(k + 1)
Let q(t) be the third derivative of -t**2 + 0*t + 2/5*t**5 + 0 + 1/30*t**6 + 16/3*t**3 + 2*t**4. Determine k, given that q(k) = 0.
-2
Let -2*k**2 + 4*k**5 - 4*k**4 + 7*k**2 - 4*k**3 + 4*k**2 - 5*k**2 = 0. Calculate k.
-1, 0, 1
Let t(y) be the first derivative of -y**6/720 - y**5/240 + 2*y**3 + 2. Let x(s) be the third derivative of t(s). Factor x(k).
-k*(k + 1)/2
Factor 0*w**4 - 1/5*w**5 - 3/5*w + 4/5*w**3 - 2/5 + 2/5*w**2.
-(w - 2)*(w - 1)*(w + 1)**3/5
Let r(h) = -8*h**3 - 8*h**2 + 9. Let b(q) be the third derivative of -q**6/60 - q**5/30 + q**3/3 - 5*q**2. Let y(f) = 9*b(f) - 2*r(f). Factor y(w).
-2*w**2*(w + 1)
Let b(h) = -h**2 + 4*h + 4. Let f be b(-3). Let z be (f/(-34))/((-2)/(-8)). Factor 0 + 2/7*i**3 + 2/7*i - 4/7*i**z.
2*i*(i - 1)**2/7
Factor -13*z**2 + 16*z**2 + 100*z - 85*z.
3*z*(z + 5)
Let n(m) be the first derivative of 0*m**3 - 2 + 0*m**5 - 2*m + 0*m**4 + 1/105*m**7 + 0*m**2 + 1/75*m**6. Let k(x) be the first derivative of n(x). Factor k(r).
2*r**4*(r + 1)/5
Let p(t) = -2*t**2 - 10. Let u(d) = d**2 + 1. Let v = 11 - 17. Let c(m) = v*u(m) - p(m). Solve c(k) = 0 for k.
-1, 1
Let o(y) be the third derivative of y**6/240 - y**5/60 - y**4/48 + y**3/6 - 21*y**2. Let o(g) = 0. Calculate g.
-1, 1, 2
Let q(l) be the first derivative of l**8/56 - 3*l**7/70 + l**5/20 - 7*l**2/2 - 7. Let h(b) be the second derivative of q(b). Let h(y) = 0. Calculate y.
-1/2, 0, 1
Let t = 479/12648 - -2/527. Let o(i) be the second derivative of -i + 1/12*i**3 + 0*i**2 - 1/60*i**6 - 1/40*i**5 + 0 + t*i**4. What is s in o(s) = 0?
-1, 0, 1
Let o(b) = 6*b**2 + 8 + 4*b + b**3 - 14*b + 11*b. Let p be o(-6). Factor 5*q**3 + 0 + 3/4*q**p - 1/2*q.
q*(4*q - 1)*(5*q + 2)/4
Let d(a) be the third derivative of -4*a**7/105 - a**6/30 + a**5/15 + a**2. Factor d(c).
-4*c**2*(c + 1)*(2*c - 1)
Let n(j) = -18*j**3 - 21*j**2 + 15*j + 21. Let s(a) = a**4 - 19*a**3 - 22*a**2 + 16*a + 20. Let r(w) = -4*n(w) + 3*s(w). Let r(m) = 0. What is m?
-2, 1
Factor -9/5*t**2 + 9/5*t - 3/5 + 3/5*t**3.
3*(t - 1)**3/5
Factor -b**4 - 2 + 5 - 5*b + 1 + b**3 - 2 + 3*b**2.
-(b - 1)**3*(b + 2)
Let h(w) be the third derivative of 3*w**7/70 + w**6/60 - 3*w**5/20 - w**4/12 + 7*w**2. Determine n so that h(n) = 0.
-1, -2/9, 0, 1
Let o(j) be the third derivative of -j**8/840 - j**7/175 - j**6/150 + j**5/75 + j**4/20 + j**3/15 - 39*j**2. Find f such that o(f) = 0.
-1, 1
Factor 2/5*m**2 - 8/5 - 6/5*m.
2*(m - 4)*(m + 1)/5
Determine j so that -4 + 415*j**3 + 7*j**2 + 11*j**2 - 441*j**3 + 2*j + 10*j**4 = 0.
-2/5, 1
Let r(a) be the second derivative of 1/50*a**5 + 2/15*a**3 - 1/10*a**2 + 0 - a - 1/12*a**4. Factor r(v).
(v - 1)**2*(2*v - 1)/5
Let w(g) = g - 7. Let u be 54/4*(-6)/(-9). Let s be w(u). Factor 2*m**3 + m**4 - m**5 + m**2 + 3 - m + 0*m**3 - 3*m**s - 2.
-(m - 1)**3*(m + 1)**2
Solve 3/4*l**3 + l + 0 + 2*l**2 = 0 for l.
-2, -2/3, 0
Let i(y) be the third derivative of 0*y - 5/108*y**4 + 1/270*y**6 - 1/270*y**5 - 2/27*y**3 + 0 + 2*y**2. Factor i(s).
2*(s - 2)*(s + 1)*(2*s + 1)/9
Let h(q) be the first derivative of 2*q**7/315 + q**6/180 - q**5/90 - 3*q**2/2 - 1. Let s(b) be the second derivative of h(b). Factor s(y).
2*y**2*(y + 1)*(2*y - 1)/3
Factor -18/7*k**2 + 3/7*k**3 + 0 + 27/7*k.
3*k*(k - 3)**2/7
Let t(h) be the third derivative of -h**9/11340 + h**8/20160 - h**4/24 + 4*h**2. Let d(x) be the second derivative of t(x). Factor d(y).
-y**3*(4*y - 1)/3
Let c(s) be the first derivative of -2*s**7/21 + 2*s**6/5 - 3*s**5/5 + s**4/3 - 3*s - 9. Let l(x) be the first derivative of c(x). Let l(h) = 0. What is h?
0, 1
Let g = -2/507 - -1048/8619. Factor 0 + 0*d**2 + g*d - 2/17*d**3.
-2*d*(d - 1)*(d + 1)/17
Let p(v) = v**4 + 6*v**3 - 12*v**2 - 6*v + 9. Let b(u) = 12*u**4 + 78*u**3 - 156*u**2 - 78*u + 117. Let j(s) = 2*b(s) - 27*p(s). Suppose j(w) = 0. Calculate w.
-3, -1, 1
Let y(s) = 3*s**3 + 31*s**2 - 221*s + 437. Let m(d) = 5*d**3 + 46*d**2 - 332*d + 656. Let h(u) = -5*m(u) + 8*y(u). Factor h(a).
-(a - 6)**3
Let j(w) be the second derivative of -w**8/336 + w**6/120 - 3*w**2/2 - 4*w. Let k(a) be the first derivative of j(a). What is i in k(i) = 0?
-1, 0, 1
Suppose 0*q - 4 = -q. Factor -1 + 3*m**4 + 3*m + m**4 + 2*m**2 - 3*m**2 - 3*m**3 - 2*m**q.
(m - 1)**2*(m + 1)*(2*m - 1)
Factor -75*r**4 + 7*r**3 - 22*r**2 + 8*r**3 + 70*r**2 + 0*r + 12*r.
-3*r*(r - 1)*(5*r + 2)**2
Let v(s) be the second derivative of s**4/72 + 8*s**3/9 + 64*s**2/3 + 19*s + 1. What is o in v(o) = 0?
-16
Suppose -2*w + 2*d = 3*d - 9, -3*w - 14 = -4*d. Let c be (6/(-10))/(w/(-10)). Determine g, given that 0*g**2 - 1/4*g**4 + 1/4*g**c + 0 + 0*g = 0.
0, 1
Suppose 4*o + 5*i = -98 - 62, 0 = -4*i - 16. Let g = o - -141/4. Factor 0*f - g*f**4 - 1/4*f**2 + 0 - 1/2*f**3.
-f**2*(f + 1)**2/4
Let f = -20 + 24. Factor 2*k**3 + 20 - 6*k**2 + f*k + 3*k**4 - 5*k - k**5 - 17.
-(k - 3)*(k - 1)**2*(k + 1)**2
Factor 5*y + 3*y**2 + y**3 - 2*y - 63 + 64.
(y + 1)**3
Factor -14*f + 19*f**2 - 15*f**3 + 4*f - 4*f**2 + 40*f**3.
5*f*(f + 1)*(5*f - 2)
Find w such that -1/2*w**2 + 0 - 1/6*w = 0.
-1/3, 0
Let r(j) be the third derivative of -2*j**7/35 + j**6/40 + j**5/5 - j**4/8 - 10*j**2. Factor r(l).
-3*l*(l - 1)*(l + 1)*(4*l - 1)
Suppose 9 = 2*k + 5. Let c(l) be the first derivative of 2/5*l**5 + 3 + 5/2*l**4 - 1/3*l**6 - 2/3*l**3 - 8*l - 8*l**k. Factor c(t).
-2*(t - 2)**2*(t + 1)**3
Factor 0 + 1/2*x**3 + 0*x**2 - 2/3*x - 1/6*x**4.
-x*(x - 2)**2*(x + 1)/6
Suppose 0 - 1/3*c**2 + 1/3*c = 0. What is c?
0, 1
Let x(m) be the first derivative of m**6/60 + m**5/15 + m**4/12 + m**2/2 - 1. Let f(a) be the second derivative of x(a). Factor f(p).
2*p*(p + 1)**2
Factor