 m**5/4 - 5*m**4/6 + 15*m. Factor l(n).
5*n**2*(n - 1)*(n + 2)
Let z(k) be the second derivative of -k**4/72 + k**3/36 - 4*k. Factor z(h).
-h*(h - 1)/6
Let n(m) = -7*m**3 + 23*m**2 - 25*m + 9. Let i(a) = a - 1. Let j(f) = -15*i(f) - 3*n(f). Factor j(d).
3*(d - 2)*(d - 1)*(7*d - 2)
Let b = -37 + 17. Let o be 2/(-10) - 14/b. Solve 1/2*g + 1/2 - 1/2*g**3 - o*g**2 = 0.
-1, 1
Factor 8*g + 6*g**3 - 9*g**3 - 4*g**2 - g**3.
-4*g*(g - 1)*(g + 2)
Let b be 5/(-35) - (-274)/7. Let i be (6/(-8))/(b/(-26)). Factor 0*z + 0 - 1/2*z**4 + i*z**2 + 0*z**3.
-z**2*(z - 1)*(z + 1)/2
Solve -665*n**2 + 313*n**2 + 319*n**2 - 6*n = 0 for n.
-2/11, 0
Let z(b) be the second derivative of b**6/5 - 2*b**5/5 - 5*b**4/6 + 2*b**3/3 + 14*b. Determine v so that z(v) = 0.
-1, 0, 1/3, 2
Determine t so that -4/5*t**2 - 12/5*t + 16/5 = 0.
-4, 1
Suppose 0 = -u + 3, -14 = -4*w - 3*u + u. Solve 2*q**3 + q**2 - 7*q + q**w + 0*q**3 + 3*q = 0.
-2, 0, 1
Let t = 349/6 - 58. Let y(a) be the second derivative of -a**2 + t*a**3 + 1/42*a**7 + 0 + 4*a + 1/3*a**4 - 1/10*a**5 - 1/15*a**6. Factor y(s).
(s - 2)*(s - 1)**2*(s + 1)**2
Factor 16/5*z**2 + 168/5*z + 441/5.
(4*z + 21)**2/5
Suppose -285 = 2*p + 3*c, -4*p = p + 3*c + 708. Let o = p - -1285/9. Suppose 8/9*h**5 - 2/9 + 56/9*h**3 - 34/9*h**4 + o*h - 44/9*h**2 = 0. Calculate h.
1/4, 1
Let f(z) be the first derivative of 2*z**5/5 - 2*z**4 - 2*z**3/3 + 4*z**2 + 11. Factor f(h).
2*h*(h - 4)*(h - 1)*(h + 1)
Let b(h) = -h**3 + 8*h**2 - 6*h + 10. Let w be b(7). Let r(g) = -g + 17. Let s be r(w). Suppose u**3 + 0*u + s + 1/3*u**5 - u**4 - 1/3*u**2 = 0. Calculate u.
0, 1
Suppose 0 = -4*y + 2*v + 2 + 2, -4*y + 4*v = -8. Factor w + y*w**2 + w - 22*w**4 - 3*w**2 + 23*w**4.
w*(w - 1)**2*(w + 2)
Suppose 2 = -5*i + 22. Let v(j) be the first derivative of 1/4*j + 1/20*j**5 + 1/2*j**3 - 1/4*j**i + 1 - 1/2*j**2. Factor v(k).
(k - 1)**4/4
Let o(n) be the second derivative of -n**5/30 - n**4/24 - n**2/2 - n. Let w(j) be the first derivative of o(j). Find v, given that w(v) = 0.
-1/2, 0
Let n(z) = z**2 - 5*z + 4. Let a be 6/3 + 0 + 2. Let f be n(a). Factor -4/3*o**3 + 2/3*o**5 + f*o**4 + 0*o**2 + 0 + 2/3*o.
2*o*(o - 1)**2*(o + 1)**2/3
Let k be 2 + (-23)/24 + -1. Let d(b) be the third derivative of -3*b**2 + 0*b**3 - k*b**4 - 1/60*b**5 + 0*b + 0. Determine f, given that d(f) = 0.
-1, 0
Let z(o) be the second derivative of 3*o + 1/6*o**4 + 0*o**3 + 0*o**2 + 0 - 1/10*o**5. Factor z(k).
-2*k**2*(k - 1)
Factor 2*c**2 + 4*c + 4*c**2 - 2*c**2.
4*c*(c + 1)
Let i(k) be the first derivative of 4/9*k + 1/3*k**2 + 2/27*k**3 + 2. Solve i(u) = 0 for u.
-2, -1
Let s(y) = 2 + 4 - 4*y + y**2 + y**2. Suppose 0*c + 3*c = -12. Let q(f) = -f**2 + 3*f - 5. Let w(t) = c*q(t) - 3*s(t). Determine r so that w(r) = 0.
-1, 1
Let s be 0 + (8 - -1) + -1. Let u be (-2 + s/5)*-5. Factor -3*v**4 - 2*v**3 + 4*v**4 - v**2 - u*v**4.
-v**2*(v + 1)**2
Let r be -2 + ((-1)/(-1) - 24). Let v be 8/10 + (-10)/r. Factor -2/5 - 6/5*z**2 - v*z - 2/5*z**3.
-2*(z + 1)**3/5
Let u = 4 - 2. Factor k**4 + 6*k**2 + 0*k**2 - 3*k**3 - 4*k**u.
k**2*(k - 2)*(k - 1)
Let o = -45/4 + 12. Factor o*s**2 - 3/4*s**3 + 1/4*s**4 - 1/4*s + 0.
s*(s - 1)**3/4
Let a(i) = -i**3 - 2*i**2 + 2*i. Let r be a(-3). What is f in -9/5*f**2 + 3/5*f + 9/5*f**4 - 3/5*f**r + 0 = 0?
-1, 0, 1/3, 1
Find q, given that 4/15*q - 2/15*q**2 + 0 = 0.
0, 2
Let d(x) = x**3 - 2*x**2 + 5*x - 4. Let p be d(1). Factor 0*o + 1/5*o**4 + p*o**2 + 0 - 1/5*o**5 + 0*o**3.
-o**4*(o - 1)/5
Let t(q) be the third derivative of -q**6/40 - q**5/10 - q**4/8 - 5*q**2. Factor t(g).
-3*g*(g + 1)**2
Let p(q) = -q**5 + q**3 - q**2. Let n(c) = 6*c**5 - 12*c**4 + 9*c**3 + 3*c**2. Let m(i) = -n(i) - 3*p(i). Factor m(r).
-3*r**3*(r - 2)**2
Suppose 5*i = 4*i - 7. Let s = -5 - i. Factor -1/4*j**3 + 0*j - 3/4*j**5 - 1/4*j**s + 0 + 5/4*j**4.
-j**2*(j - 1)**2*(3*j + 1)/4
Solve 1/2*b**3 + 5/2*b - 2*b**2 - 1 = 0 for b.
1, 2
Let t be (-1)/(-2) + 12/(-8). Let d be (-3 - -3)*1/t. Find u such that 28/3*u**4 + 0*u + 2*u**3 + d - 4/3*u**2 = 0.
-1/2, 0, 2/7
Let g = -3 - -6. Let b(k) be the first derivative of -k**4 - 3*k**5 + g*k**4 - k**2 - 2 - 3*k**3 + 2*k**5 - 5*k**4. Factor b(n).
-n*(n + 1)**2*(5*n + 2)
Let f(w) be the second derivative of 5*w**4/12 - 50*w**3/3 + 250*w**2 + 49*w. Factor f(m).
5*(m - 10)**2
Let j be (-6)/(-4)*4/3. Factor 0*k**2 - 12*k + 12*k**3 - 4*k**4 - 2*k**j + 0*k**2 + 8 - 2*k**2.
-4*(k - 2)*(k - 1)**2*(k + 1)
Let b(a) be the second derivative of -a**5/80 + a**4/48 + a**3/3 - 3*a**2/2 - 8*a. Let b(t) = 0. Calculate t.
-3, 2
Let b be 7 - (5 + (-1 - 0)). Let l(i) be the first derivative of 0*i**2 + 1/3*i**b + 1/2*i**4 - 4 - 3/5*i**5 + 0*i. Suppose l(w) = 0. Calculate w.
-1/3, 0, 1
Let r = 3/71 - 2775/142. Let l = r - -125/6. Factor -2/3*c**2 + l*c - 2/3.
-2*(c - 1)**2/3
Let k = -164 - -1480/9. Factor 2/9 + 4/9*g**3 - 2/9*g**4 + 0*g**2 - k*g.
-2*(g - 1)**3*(g + 1)/9
Let k(h) be the third derivative of h**6/60 - h**5/30 - h**4/12 + h**3/3 + h**2. Factor k(j).
2*(j - 1)**2*(j + 1)
Factor 17/3*m - 12*m**2 - 2/3.
-(4*m - 1)*(9*m - 2)/3
Let r(o) = 6*o**4 - 11*o**3 - 17*o**2 + 17*o - 17. Let b(j) = j**4 - 2*j**3 - 3*j**2 + 3*j - 3. Suppose 30 = -4*y + 6. Let x(g) = y*r(g) + 34*b(g). Factor x(c).
-2*c**3*(c + 1)
Let j(w) be the third derivative of 0*w + 4*w**2 - 1/420*w**6 + 1/21*w**3 + 1/84*w**4 + 0 - 1/210*w**5. What is v in j(v) = 0?
-1, 1
Find n such that -2/9*n**2 + 0 - 4/9*n = 0.
-2, 0
Let j(q) = 126*q**2 - 64*q + 3. Let h(d) = 9*d**2 + 39*d**2 + 2 + 58*d**2 - 64*d + 20*d**2. Let i(m) = -5*h(m) + 6*j(m). Factor i(r).
2*(7*r - 2)*(9*r - 2)
Let -4/5 - 19/5*b**2 - 3*b**3 + 4*b = 0. Calculate b.
-2, 1/3, 2/5
Find q such that 1/8 + 1/8*q**2 - 1/4*q = 0.
1
Let u(c) = -c**3 + c**2 + 5*c. Let x(k) = k**3 - k**2 - 6*k. Let a be (2/(-2))/(1/5). Let y(j) = a*x(j) - 6*u(j). Factor y(q).
q**2*(q - 1)
Factor 0 - 3/4*v**4 - 9/4*v - 15/4*v**3 - 21/4*v**2.
-3*v*(v + 1)**2*(v + 3)/4
Let a(g) be the first derivative of 14*g**5/15 + 5*g**4/6 - 4*g**3/9 - 7. Factor a(o).
2*o**2*(o + 1)*(7*o - 2)/3
Suppose -2*n + 28 = 2*n. Let -4*y - 4*y + n*y + 4*y**2 + 2*y**3 + 3*y = 0. Calculate y.
-1, 0
Let t(z) = -7*z**4 - 7*z**3 - 3*z**2 + 5*z - 4. Let a(d) = d**4 + d**3 + d**2 + 1. Let c(q) = q + 5. Let i be c(-11). Let o(s) = i*a(s) - t(s). Factor o(k).
(k - 2)*(k + 1)**3
Suppose -18*y + 63 = 3*y. What is o in 2/7*o**y - 8/7*o**2 + 8/7*o + 0 = 0?
0, 2
Suppose -771*p**4 + 769*p**4 - p**2 - 7*p**2 - 8*p**3 = 0. Calculate p.
-2, 0
Let x(g) = g**2 - 5*g + 3. Let y be x(5). Find v such that -5*v - 3*v + v + v + 2*v**y - 4 = 0.
-1, 2
Let u = 9910196/585 + -84728/5. Let o = u - -72/13. Factor 2/9 + 4/9*n**2 - o*n**3 - 2/9*n**5 - 2/3*n**4 + 2/3*n.
-2*(n - 1)*(n + 1)**4/9
Let a(i) be the second derivative of -5*i**7/42 - 5*i**6/6 - 5*i**5/2 - 25*i**4/6 - 25*i**3/6 - 5*i**2/2 + 8*i. Determine n, given that a(n) = 0.
-1
Suppose 0 = 7*f + 135 - 23. Let t be (4/f)/(3/(-8)). Factor -t*q - 2*q**2 + 0.
-2*q*(3*q + 1)/3
Let q be (-6)/(-27) + (-474)/189. Let m = 71/28 + q. Find r, given that m + 1/4*r**2 - 1/2*r = 0.
1
Let l = 36 + -36. Let s(v) be the third derivative of 1/60*v**6 + 0*v - 1/30*v**5 + 0*v**4 + l*v**3 - v**2 + 0. Solve s(d) = 0 for d.
0, 1
Factor 50/3*k**2 + 0 - 10/3*k + 10/3*k**4 - 85/6*k**3.
5*k*(k - 2)**2*(4*k - 1)/6
Let l(p) be the second derivative of -8/21*p**4 + 3/7*p**3 - 2/7*p**2 + 1/147*p**7 + 1/5*p**5 + 0 + 3*p - 2/35*p**6. Factor l(v).
2*(v - 2)*(v - 1)**4/7
Let m = 254 - 1267/5. Determine r so that 0*r**4 - 4/5*r**3 - 2/5*r**2 + 1/5*r**5 + 2/5 + m*r = 0.
-1, 1, 2
Let q(i) be the second derivative of 0 + 0*i**2 + 0*i**6 - 9*i + 0*i**3 + 0*i**4 + 0*i**5 + 1/14*i**7. Factor q(h).
3*h**5
Let s(w) be the first derivative of -2/3*w**3 + 0*w + w**4 + 0*w**2 - 2/5*w**5 + 1. Determine a so that s(a) = 0.
0, 1
Let c(i) be the first derivative of -i**7/70 + i**6/120 + i**5/10 - i**4/8 - 5*i**3/3 + 1. Let n(g) be the third derivative of c(g). Factor n(v).
-3*(v - 1)*(v + 1)*(4*v - 1)
Let r(g) = 5*g**3 + 5*g + 2. Let l(u) = u**3 + u**2 + 1. Let m(h) = -h - 1. Let o be m(0). Let f(k) = o*r(k) + 4*l(k). Suppose f(w) = 0. Calculate w.
1, 2
Let v = -1280 + 230401/180. Let w(q) be the third derivative of v*q**5 + 0 + 0*q + 1/72*q**4 + 0*q**3 + 2*q**2. Find a such that w(a) = 0.
-1, 0
Suppose -2*x = -4*h + 5