+ f*p**5 + 1/840*p**8 + 0*p**3. Factor j(x).
2*x*(x - 1)**2*(x + 1)**2/5
Solve -43*d**2 + 6*d - 35*d**2 + 80*d**2 = 0.
-3, 0
Let t = 140 + -2799/20. Let c(j) be the first derivative of 0*j + 1/4*j**3 - 3/16*j**4 + t*j**5 - 1 - 1/8*j**2. Factor c(r).
r*(r - 1)**3/4
Let g(o) = o**3 + o**2 - o - 2. Let d be g(2). Factor 4 - h**3 - d - 110*h**2 + 113*h**2.
-(h - 2)**2*(h + 1)
Let b be (1/4)/(9/72). Let i(f) be the third derivative of 3*f**b + 0*f**3 + 0*f + 0 + 0*f**4 - 1/210*f**5. Determine n so that i(n) = 0.
0
Let k(s) be the first derivative of -s**3 - 16. Factor k(t).
-3*t**2
Let z(u) be the second derivative of 3*u**6/2 + 4*u**5 + 25*u**4/12 - 5*u**3/3 + 12*u. Determine l, given that z(l) = 0.
-1, 0, 2/9
Let z(j) be the second derivative of j**6/900 - j**4/60 + j**3/2 + 4*j. Let b(s) be the second derivative of z(s). Suppose b(r) = 0. What is r?
-1, 1
Suppose 7*d = -5 + 26. Let m(y) be the second derivative of d*y - 1/12*y**4 + 1/20*y**5 - 1/6*y**3 + 0 + 1/30*y**6 + 0*y**2. Solve m(g) = 0.
-1, 0, 1
Let x(v) be the first derivative of 12*v**3 - 22*v**2 + 8*v + 2. Let x(p) = 0. Calculate p.
2/9, 1
Determine h, given that 2 + 6*h**3 + 1 - 3*h**4 - h - 5*h + 0*h**4 = 0.
-1, 1
Determine q so that 0 - 4/3*q - 4/3*q**4 + 4/3*q**3 + 4/3*q**2 = 0.
-1, 0, 1
Let j(f) be the third derivative of f**8/8960 + f**7/10080 - f**6/1440 + f**4/6 + 4*f**2. Let q(k) be the second derivative of j(k). Factor q(t).
t*(t + 1)*(3*t - 2)/4
Suppose -6 + 2 = -2*u. Let q be (u/(-3))/(1/(-3)). Suppose 2*r**q + 1 + 8*r + 7 + 0 = 0. What is r?
-2
Let o(s) be the first derivative of 9*s**5/5 + 3*s**4/2 - 2. Factor o(t).
3*t**3*(3*t + 2)
Let c(d) be the third derivative of 2*d**5/15 + d**4/2 - 4*d**3/3 + 4*d**2. Solve c(i) = 0.
-2, 1/2
Let x = 12 + -6. Suppose 3*h + 4*h**2 - x*h**2 + 0*h - h = 0. What is h?
0, 1
Let s(m) = m**3 - 6*m**2 + 2*m + 3. Let t be s(5). Let w be 4/(-6) + (-56)/t. Find b, given that 6*b**4 + b**w - 2*b**4 + 2*b**3 = 0.
-2/5, 0
Let p(l) be the second derivative of -l**5/20 + l**4/6 - 9*l. Solve p(r) = 0 for r.
0, 2
Suppose -i - 2*i = -9. Let z(u) be the second derivative of 0*u**4 - 1/15*u**6 + 0*u**2 + 0*u**i - u - 1/10*u**5 + 0. Suppose z(j) = 0. Calculate j.
-1, 0
Let o = 12/25 - 23/100. Solve 1/4*g**2 - 1/2*g + o = 0.
1
Suppose 0 = 4*p - 4*f - 32, 2*p + f = -0*p + 4. Factor 16*j**p + 18*j**3 - 3*j**4 + j**4 - 24*j**2 - 8*j.
2*j*(j - 1)*(j + 2)*(7*j + 2)
Let a(p) be the third derivative of -p**7/840 + p**6/240 - p**4/12 + 3*p**2. Let z(f) be the second derivative of a(f). Factor z(k).
-3*k*(k - 1)
Let y = 29 + -25. Let u(d) be the third derivative of 0*d + 0*d**3 - 1/80*d**5 - d**2 + 0 + 1/16*d**y. Factor u(j).
-3*j*(j - 2)/4
Let q(h) = -h + 9. Let z be q(7). Let i be (z/2)/(4/12). What is s in -i + 0 - 1 + 3 + s**2 = 0?
-1, 1
Let q = -87 - -33. Let w be (-6)/(-15) + q/(-15). Let -1/4*p**2 + 0*p + 0 - 3/4*p**3 - 3/4*p**w - 1/4*p**5 = 0. Calculate p.
-1, 0
Let n(m) = -2*m**3 - 6*m**2 - 3*m + 1. Let g(o) = o**3 + 3*o**2 + 2*o. Let d(x) = 5*g(x) + 3*n(x). Factor d(p).
-(p - 1)*(p + 1)*(p + 3)
Let v(n) be the third derivative of n**7/42 + 13*n**6/96 + 5*n**5/16 + 35*n**4/96 + 5*n**3/24 - 8*n**2. What is x in v(x) = 0?
-1, -1/4
Factor 12*n**2 + 10*n**2 + 174*n**3 + 8*n - 169*n**3.
n*(n + 4)*(5*n + 2)
Let c(m) = -10*m**3 - 27*m**2 + 14*m + 19. Let b(i) = -9*i**3 - 27*i**2 + 15*i + 18. Let s(z) = 4*b(z) - 3*c(z). Factor s(w).
-3*(w - 1)*(w + 5)*(2*w + 1)
Let o(b) be the second derivative of 0*b**3 + 1/168*b**7 + 0*b**4 + 0*b**2 + 0 + 1/120*b**6 + b + 0*b**5. Factor o(f).
f**4*(f + 1)/4
Let p = 2 - -3. Solve -i**3 - i**2 - 4*i**5 + 0*i**2 + i**4 + p*i**5 = 0.
-1, 0, 1
Let u(s) be the third derivative of -s**8/504 - 2*s**7/315 + s**6/60 + 2*s**5/45 - s**4/9 - 4*s**2 + 4. Let u(h) = 0. What is h?
-2, 0, 1
Suppose 3/4*x**2 - 1/4*x**4 + 1/2*x + 0*x**3 + 0 = 0. What is x?
-1, 0, 2
Let b(s) be the second derivative of s**5/20 - s**4/2 - 7*s**3/6 + s**2/2 + 2*s. Let q be b(7). Factor -9*p**2 + p**3 - q + 10*p**2 + p - 2*p**3.
-(p - 1)**2*(p + 1)
Let z(d) be the second derivative of -d**7/42 - d**6/30 + d**5/20 + d**4/12 + 4*d. Factor z(a).
-a**2*(a - 1)*(a + 1)**2
Let u be (-6)/(-4)*(-4)/(-18). Suppose 8*g = -3*q + 3*g - 15, -2*g - 6 = -q. Factor 1/3*t**3 + 0 - u*t + q*t**2.
t*(t - 1)*(t + 1)/3
Let z(g) be the second derivative of -g**5/14 + 11*g**4/21 - 4*g**3/3 + 8*g**2/7 - 4*g. Suppose z(j) = 0. Calculate j.
2/5, 2
Let n(c) be the first derivative of -c**5/30 + c**4/54 + c**3/9 - c**2/9 + 3*c + 4. Let m(h) be the first derivative of n(h). Factor m(a).
-2*(a - 1)*(a + 1)*(3*a - 1)/9
Suppose -5*j - 8 = -18. Let v(s) be the second derivative of j*s + 0 + 1/2*s**4 + 0*s**3 - 4*s**2 - 1/10*s**5. Factor v(m).
-2*(m - 2)**2*(m + 1)
Determine j, given that j - 1/2*j**4 - j**3 + 1/2 + 0*j**2 = 0.
-1, 1
Let i(p) be the second derivative of 1/3*p**3 + 0 - 5*p + 3/5*p**5 + 0*p**2 - 2/15*p**6 - 3/4*p**4. Factor i(c).
-c*(c - 2)*(2*c - 1)**2
Let v(g) = g**3 - 9*g**2 + 2*g - 8. Let p be v(9). Suppose -2*b + p = -b. Factor -5*r**4 + 7*r - 4 - 19*r - 33*r**2 + 2*r - 22*r**3 - b*r.
-(r + 1)**2*(r + 2)*(5*r + 2)
Factor -2/3*y + 1/3*y**5 + 1/3*y**3 + 0 + y**4 - y**2.
y*(y - 1)*(y + 1)**2*(y + 2)/3
Suppose -7*f = -11*f. What is t in 5/4*t**5 + f + 3/4*t**2 + 1/2*t - 3/4*t**4 - 7/4*t**3 = 0?
-1, -2/5, 0, 1
Let a be 5/(-10)*1*-6. Let u(n) be the first derivative of -a + 1/4*n**2 + 0*n - 1/6*n**3. Solve u(g) = 0.
0, 1
Let j be (3/2)/((-3)/(-6)). Factor -6*m**j - m**4 + 0 + 9*m**3 + 0 - 2*m**2.
-m**2*(m - 2)*(m - 1)
Let c be 2/(-5)*380/(-57). Determine x so that c*x - 8/3 - 2/3*x**2 = 0.
2
Let t = 32 - -5. Suppose -157 = -5*v - t. Factor 4 - 10*u**3 + 7*u**2 - 39*u**3 + 14*u**2 + v*u.
-(u - 1)*(7*u + 2)**2
Let p(y) be the second derivative of -1/24*y**4 - 1/12*y**3 + 3*y + 1/2*y**2 + 0. Solve p(x) = 0 for x.
-2, 1
Determine f so that 0 + 0*f + 2*f**3 + 8/5*f**4 + 2/5*f**2 = 0.
-1, -1/4, 0
Suppose -1/3*u**2 + 0*u + 0 = 0. Calculate u.
0
Let o = -4 - -5. Factor p**2 - 4*p + p + o + 1.
(p - 2)*(p - 1)
Let o(u) = -3*u**3 + u + 4. Let n(g) = -10*g**3 + 2*g + 13. Let f(i) = 2*n(i) - 7*o(i). Factor f(v).
(v - 2)*(v + 1)**2
Let i be ((-21)/(-42))/((-1)/(-10)). Let l(r) be the second derivative of -3*r + 0*r**2 + 0*r**6 + 0*r**3 - 1/60*r**i + 0*r**4 + 1/126*r**7 + 0. Factor l(w).
w**3*(w - 1)*(w + 1)/3
Let m(x) be the second derivative of 0*x**2 - 2*x + 0*x**3 + 0 + 1/48*x**4. Solve m(s) = 0.
0
Let d(z) be the first derivative of -z**4/4 - 2*z**3/15 - 1. Factor d(t).
-t**2*(5*t + 2)/5
Factor 1/3*u**2 + 3 + 2*u.
(u + 3)**2/3
Let k(m) be the first derivative of -2*m**3/21 + 2*m/7 + 4. Factor k(u).
-2*(u - 1)*(u + 1)/7
Let h(i) = -9*i**3 - 4*i**2 + 45*i - 27. Let z(w) = 4*w**3 + 2*w**2 - 22*w + 14. Let r(b) = 2*h(b) + 5*z(b). Determine u, given that r(u) = 0.
-4, 1, 2
Let i(u) = -4*u**2 + 10*u - 8. Let s(m) = -5*m**2 + 11*m - 8. Let j(y) = -3*i(y) + 2*s(y). Factor j(v).
2*(v - 2)**2
Factor -n + n + n**2 - 5*n**2 + 8*n.
-4*n*(n - 2)
Let l(z) be the first derivative of z**3/4 + 3*z**2/8 + 1. Factor l(j).
3*j*(j + 1)/4
Let q(p) be the third derivative of -p**4/24 + 3*p**3/2 + p**2. Let h be q(7). Determine d so that -2*d - 4 + 4 - 8*d**h = 0.
-1/4, 0
Let q = 6 - 4. Solve -2*k**q + 3*k**4 + 0*k**2 + 0*k**4 - k**4 = 0.
-1, 0, 1
Let a = -34 + 39. Let o(u) be the third derivative of -1/15*u**4 - 2/75*u**a + u**2 + 0 - 1/300*u**6 + 0*u**3 + 0*u. Factor o(j).
-2*j*(j + 2)**2/5
Suppose -4*s + 12 = 4*v - 8*s, 5*v - 3*s = 9. Suppose 8/7*w + v - 4/7*w**2 = 0. What is w?
0, 2
Let k = -70 + 70. Solve 0*q - 1/3*q**5 + 1/3*q**3 + 1/3*q**2 - 1/3*q**4 + k = 0.
-1, 0, 1
Let f(b) = 6*b**2 - b - 6. Let s(l) = -2*l**2 + 2. Let h(i) = 3*f(i) + 8*s(i). Solve h(r) = 0.
-1/2, 2
Let x(f) = 2*f**2 + 3. Let b(t) be the third derivative of t**5/20 + 2*t**3/3 + t**2. Suppose -3*k = k - 28. Let d(v) = k*x(v) - 5*b(v). Factor d(g).
-(g - 1)*(g + 1)
Let d(g) be the third derivative of -g**9/211680 - g**8/14112 - g**7/2205 - g**6/630 + g**5/30 - 2*g**2. Let v(w) be the third derivative of d(w). Factor v(t).
-2*(t + 1)*(t + 2)**2/7
Let m(a) be the first derivative of 49*a**6/9 + 28*a**5/3 - a**4/2 - 40*a**3/9 + 4*a**2/3 + 14. Let m(z) = 0. Calculate z.
-1, 0, 2/7
Let x = -683/4 - -171. Factor x*d**2 + 0*d - 1/4.
(d - 1)*(d + 1)/4