e third derivative of 1/240*d**6 - 1/24*d**4 + 0*d - 1/120*d**5 + 0*d**3 + 0 - 3*d**2. Factor j(h).
h*(h - 2)*(h + 1)/2
Let u = 146/135 + -22/27. Let o(f) be the first derivative of 1/9*f**6 + 0*f - 4/9*f**3 - 2 + 0*f**4 - 1/3*f**2 + u*f**5. Solve o(r) = 0.
-1, 0, 1
Let v(t) be the first derivative of -3*t**4/4 - t**3 + 15*t**2/2 - 9*t - 1. Determine f, given that v(f) = 0.
-3, 1
Find s, given that 27/10 + 27/10*s + 1/10*s**3 + 9/10*s**2 = 0.
-3
Let x(z) = -3*z**2 + 3*z. Let g be x(1). Let u(a) be the first derivative of g*a + 2 - 2/15*a**3 + 0*a**2 - 1/10*a**4. Factor u(v).
-2*v**2*(v + 1)/5
Let r be (6 - 4)*2/22. Find x, given that 0*x**2 + 2/11*x + 0 - r*x**3 = 0.
-1, 0, 1
Let d(t) be the first derivative of -12*t**5/25 + 13*t**4/5 - 56*t**3/15 - 8*t**2/5 + 32*t/5 + 9. Determine b so that d(b) = 0.
-2/3, 1, 2
Let m = 289 + -2020/7. Factor 3/7*b**2 - 6/7 - m*b.
3*(b - 2)*(b + 1)/7
Let m(r) be the first derivative of r**3/3 - r + 11. Let p be 3/6*2/1. Let v(h) = -12*h**2 + 6*h + 18. Let j(y) = p*v(y) + 15*m(y). Factor j(z).
3*(z + 1)**2
Suppose -28 - 7 = -5*l. Factor 4*f**4 + 4*f**5 - 11*f**2 + 0*f**3 + 0*f**3 - 4*f**3 + l*f**2.
4*f**2*(f - 1)*(f + 1)**2
Suppose 2*s - 6*s + 20 = 0. Suppose q + 0*w + 8 = -s*w, 0 = -4*q + 3*w + 14. Factor 0 + 0*t - 1/3*t**q - 4/3*t**3.
-t**2*(4*t + 1)/3
Let d(o) = 3*o**3 + 2*o**2 - 4*o. Let b(k) = k**2 + k. Let u(s) = 3*b(s) - d(s). Let g(c) = 2*c**3 - 6*c. Let w(y) = 5*g(y) + 4*u(y). Solve w(n) = 0.
0, 1
Suppose -3*z + 15 = 2*z. Factor 5*x**2 + x**2 - x**2 - 2*x**z + 2*x - x**2 - 4.
-2*(x - 2)*(x - 1)*(x + 1)
Let m = 54 - 323/6. Let d(w) be the third derivative of -m*w**4 + 0 + 0*w + 0*w**3 - 1/30*w**5 - 2*w**2. Suppose d(s) = 0. Calculate s.
-2, 0
Let k = 275 + -1923/7. Factor -k*m**2 + 0 - 2/7*m**3 + 2/7*m + 2/7*m**4.
2*m*(m - 1)**2*(m + 1)/7
Factor -2/17 - 14/17*t**2 + 10/17*t + 6/17*t**3.
2*(t - 1)**2*(3*t - 1)/17
Let y(f) be the third derivative of f**5/360 + f**4/72 - f**3/12 - 4*f**2. Factor y(l).
(l - 1)*(l + 3)/6
Suppose c**5 + 15*c**4 + 0*c**5 - 7*c**3 - 4*c**5 - 5*c**3 = 0. What is c?
0, 1, 4
Let p(f) = -f**3 - 8*f**2 - 13*f - 6. Let k be p(-6). Factor k*c + 0*c**2 + 0 + 2/9*c**3 + 2/9*c**4.
2*c**3*(c + 1)/9
Suppose j + 2*x = 1 + 1, 0 = -3*j + x + 6. Factor -9/5*o - 7/5*o**j - 2/5.
-(o + 1)*(7*o + 2)/5
Factor 3/2*o**2 + 27/2 - 15*o.
3*(o - 9)*(o - 1)/2
Let p(x) be the first derivative of -2 - 2/15*x**3 + 0*x**2 - 1/5*x**4 + 0*x - 2/25*x**5. Solve p(d) = 0.
-1, 0
Let q(a) be the third derivative of -a**7/945 - a**6/180 - a**5/270 + a**4/36 + 2*a**3/27 + 13*a**2. Solve q(o) = 0 for o.
-2, -1, 1
Factor 36*a**2 + 43 - 39 + 22 - 4*a**3 + 82 - 108*a.
-4*(a - 3)**3
Let d(y) be the second derivative of -y**7/5040 - y**6/360 - y**5/60 + y**4/12 - 6*y. Let k(j) be the third derivative of d(j). Suppose k(p) = 0. Calculate p.
-2
Let a = -349/9 + 39. Let v(y) be the first derivative of -a*y**3 + 0*y**2 + 1 - 1/6*y**4 + 0*y. Factor v(p).
-2*p**2*(p + 1)/3
Let h = -312091 - -2181115/7. Let k = h - -504. Let -2/7*d**2 + k*d - 4/7 = 0. Calculate d.
1, 2
Factor 2*q**2 + 1 - 17*q + 8*q**2 - 9 + q.
2*(q - 2)*(5*q + 2)
Let t(o) be the third derivative of 0*o**3 + 0*o + 1/60*o**6 + 4*o**2 + 1/42*o**7 + 1/112*o**8 + 0 + 0*o**5 + 0*o**4. Find i, given that t(i) = 0.
-1, -2/3, 0
Suppose -9*h - 2 + 38 = 0. Determine n, given that 0*n**2 + 0*n - 5/4*n**5 + 0 + 1/2*n**3 + 3/4*n**h = 0.
-2/5, 0, 1
Factor -1/3*f**4 + 0 - f**5 + 0*f**2 + 2/3*f**3 + 0*f.
-f**3*(f + 1)*(3*f - 2)/3
Let o(g) be the second derivative of 0*g**3 - 3*g + 0 + 0*g**5 + 1/60*g**6 - 1/24*g**4 + 0*g**2. Solve o(l) = 0.
-1, 0, 1
Let i(t) = t**5 - t**2 - t - 1. Let r(p) = -4*p**5 - p**4 + 2*p**3 + 3*p**2 + 2*p + 2. Let v(o) = -2*i(o) - r(o). Let v(s) = 0. Calculate s.
-1, -1/2, 0, 1
Let f(u) = u + 3. Let i be f(2). Let w(d) be the first derivative of -1/12*d**6 + 1/10*d**i + 0*d**2 + 1/8*d**4 - 1 - 1/6*d**3 + 0*d. What is t in w(t) = 0?
-1, 0, 1
Factor 0*y - 8/5 + 6/5*y**3 + 14/5*y**2.
2*(y + 1)*(y + 2)*(3*y - 2)/5
Let d = -2/2297 - -20693/22970. Let v = -2/5 + d. Solve 0 + 1/2*u - v*u**2 = 0.
0, 1
Let o(r) be the first derivative of -r**4/2 - 8*r**3/3 + 7*r**2 + 20*r - 3. Find l such that o(l) = 0.
-5, -1, 2
Let v(f) be the first derivative of f**6/27 + 2*f**5/45 - 7*f**4/18 - 2*f**3/27 + 2*f**2/3 + 20. Determine w so that v(w) = 0.
-3, -1, 0, 1, 2
Let p = 82/3 + -27. Find l such that p*l**3 - 1/3*l**2 + 1/3 - 1/3*l = 0.
-1, 1
Let t be (2*-5 - -2)*1. Let s = -4 - t. Factor 2*d**3 + 6*d**2 - 1 - 3 - s.
2*(d - 1)*(d + 2)**2
Let b(p) be the first derivative of -5 + 4/3*p**3 + 3*p**2 - 4*p. Factor b(u).
2*(u + 2)*(2*u - 1)
Let s = 27 - 21. Let b(d) be the second derivative of 1/3*d**3 + 0*d**2 - 1/15*d**s + 3/10*d**5 - d + 0 - 1/2*d**4. Factor b(f).
-2*f*(f - 1)**3
Find y such that -5 + 5/6*y**2 + 25/6*y = 0.
-6, 1
Let w = -9 + 12. Factor s**2 - 5*s**2 - 2*s**3 + 4*s**w.
2*s**2*(s - 2)
Let g(c) be the third derivative of -c**8/36960 + c**4/8 + c**2. Let s(r) be the second derivative of g(r). Factor s(q).
-2*q**3/11
Let d be (-4)/(1 - (-1 - -3)). Let j(t) be the first derivative of 1 - 1/6*t**d - 5/9*t**3 - 2/3*t**2 - 1/3*t. Solve j(m) = 0.
-1, -1/2
Let s be 2294/372 + (0 - 6). Factor 1/6*u**2 - 1/3 - s*u.
(u - 2)*(u + 1)/6
Let p = -52 - -59. Let h(u) be the third derivative of 0*u + 0 - 1/220*u**6 - 1/1848*u**8 - 1/330*u**5 + 4*u**2 + 0*u**3 + 0*u**4 - 1/385*u**p. Solve h(w) = 0.
-1, 0
Let w(m) be the second derivative of 4/15*m**3 - 3/100*m**5 + 0 - 3*m - 1/60*m**4 - 2/5*m**2. Find c such that w(c) = 0.
-2, 2/3, 1
Let x be (-1)/(-6) - 130/(-120). Factor -x*r**4 + 5/4*r**2 + 5/4*r**5 - 5/4*r**3 + 0 + 0*r.
5*r**2*(r - 1)**2*(r + 1)/4
Let x be 1/((-5)/(-3)) - 252/630. Factor 0 + 1/5*f**2 + x*f.
f*(f + 1)/5
Let b be (24/(-27))/((-1)/(-3)*-3). Let s(m) be the first derivative of b*m + 2/27*m**3 + 4/9*m**2 - 4. Factor s(l).
2*(l + 2)**2/9
Let m(v) be the third derivative of v**7/420 + v**6/48 - 7*v**5/120 - 5*v**4/48 + v**3/2 - 23*v**2 - 1. Factor m(c).
(c - 1)**2*(c + 1)*(c + 6)/2
Suppose -2 - 3 + 10*j**2 - 11*j**2 + 6 = 0. What is j?
-1, 1
Suppose 4 = 3*h + 2*s, -3*h - s + 2 = 3*s. Find n, given that n + 8*n**2 - 3*n - 2*n**3 - 4*n**h = 0.
0, 1
Factor 2/11*y**2 - 16/11*y + 32/11.
2*(y - 4)**2/11
Let s(y) be the third derivative of -y**8/672 + y**7/420 + y**6/80 - y**5/120 - y**4/24 + 8*y**2. Suppose s(l) = 0. What is l?
-1, 0, 1, 2
Let a = -187/12 - -47/3. Let l(b) be the third derivative of 0 + 0*b - 1/70*b**7 - a*b**4 - b**2 + 0*b**3 + 1/20*b**5 + 1/120*b**6 + 1/336*b**8. Factor l(i).
i*(i - 2)*(i - 1)**2*(i + 1)
Let g be ((-28)/21)/((-12)/3). Factor -1/3*w + 0 + 0*w**2 + g*w**3.
w*(w - 1)*(w + 1)/3
Let b = -4 + 10. Suppose 0 = l + 3 - b. Factor -l*h**5 + 2*h**3 + h**5 + h**5 - h.
-h*(h - 1)**2*(h + 1)**2
Let o = 22 + -12. Suppose 3*m - t = 4 + 6, 4*m - 6 = 5*t. Factor 4*c + 0 - 4*c**3 - o*c**2 + 0 + 10*c**m.
2*c*(c - 1)*(c + 1)*(5*c - 2)
Let j(a) = -a**3 + 3*a**2 + 5*a - 2. Let x be j(4). Let k = 0 + x. Factor 5 + 72*z - 490*z**3 - 21 - 3*z**2 + 87*z**k.
-2*(5*z + 2)*(7*z - 2)**2
Let v = 8 + -11. Let s = 6 + v. Let -5/3*k**s - 2/3 - 1/3*k + 8/3*k**2 = 0. Calculate k.
-2/5, 1
Let q(b) = 2*b**4 + 25*b**3 + 51*b**2 + 85*b + 43. Let u(m) = -m**4 - 12*m**3 - 26*m**2 - 42*m - 21. Let d(j) = 3*q(j) + 7*u(j). Factor d(t).
-(t + 1)*(t + 2)*(t + 3)**2
Let j(t) be the second derivative of -t**4/36 - t**3/9 - t**2/6 + 4*t. Factor j(n).
-(n + 1)**2/3
Let p(j) be the third derivative of -j**8/10080 - j**7/3780 + j**5/30 - 2*j**2. Let k(x) be the third derivative of p(x). Find l, given that k(l) = 0.
-2/3, 0
Let g(j) be the first derivative of j**8/2184 - j**7/455 + j**6/260 - j**5/390 + 2*j**2 + 4. Let t(b) be the second derivative of g(b). Factor t(r).
2*r**2*(r - 1)**3/13
Let h(k) be the first derivative of -k**6/90 - k**5/60 - 2*k + 1. Let n(s) be the first derivative of h(s). Let n(a) = 0. Calculate a.
-1, 0
Let r(l) be the third derivative of -l**8/56 + 19*l**7/105 - 3*l**6/4 + 49*l**5/30 - 2*l**4 + 4*l**3/3 + 7*l**2 - l. Let r(d) = 0. Calculate d.
1/3, 1, 2
Let y = 13/14 - 23/70. Factor -6/5 - y*j + 3/5*j**2.
3*(j - 2)*(j + 1)/5
Let q(g) be the third derivative of g**8/28 + 34*g**7/105 + 37*g**6/30 + 13*g**5/5 + 10*g**4/3 + 8*g**3/3 + 45*g**2. Factor q(u).
4*(u + 1)*