 a(y).
2*(y + 2)*(y + 3)/7
Let s(k) be the third derivative of -k**5/510 - k**4/102 - k**3/51 - 8*k**2. Factor s(v).
-2*(v + 1)**2/17
Factor 2/11*s**5 - 2/11*s**4 + 2/11*s + 4/11*s**2 - 2/11 - 4/11*s**3.
2*(s - 1)**3*(s + 1)**2/11
Let n(a) be the third derivative of 4*a**7/175 - 11*a**6/100 + 21*a**5/100 - a**4/5 + a**3/10 - 7*a**2. Let n(f) = 0. What is f?
1/4, 1/2, 1
Let x = 19 - 19. Let b(u) = -u**3 + 2*u + 2. Let l be b(x). Determine s so that -1/2*s + 1/2*s**3 - 1/2 + 1/2*s**l = 0.
-1, 1
Suppose 0 = -2*y + y - 6. Let f = y + 6. Find d such that -d**3 + 6*d**2 + 1 + f - 3*d - 3*d**2 = 0.
1
Let u = 74/39 - 16/13. Factor u*f**3 - 4/3 + 0*f**2 - 2*f.
2*(f - 2)*(f + 1)**2/3
Let v = -80 + 85. Let o(a) be the third derivative of 0 + 0*a**4 + 0*a + 1/3*a**3 + 2*a**2 - 1/30*a**v. Factor o(q).
-2*(q - 1)*(q + 1)
Let s(w) = w**4 + 8*w**3 - 12*w**2 - 8*w + 9. Let c(z) = z**4 + 17*z**3 - 24*z**2 - 17*z + 18. Let x(p) = -2*c(p) + 5*s(p). Factor x(d).
3*(d - 1)**2*(d + 1)*(d + 3)
Let p(n) be the first derivative of -n**4/5 - 23. Factor p(l).
-4*l**3/5
Determine f, given that 2/17 + 2/17*f**4 + 12/17*f**2 + 8/17*f**3 + 8/17*f = 0.
-1
Suppose -3*g + 7*g - 4 = 0. Let m be g - ((-10)/15)/(-2). Factor 2*j + 2/3*j**3 - m - 2*j**2.
2*(j - 1)**3/3
Factor 4*p - p - 3*p + p - p**2.
-p*(p - 1)
Factor 0*n + 0 + 4/9*n**3 + 0*n**2.
4*n**3/9
Let f(s) be the first derivative of -s**6/15 - s**5/5 + 2*s**3/3 + s**2 + 4*s + 1. Let k(q) be the first derivative of f(q). What is c in k(c) = 0?
-1, 1
Suppose 5*u - 3*b = -b + 10, 2*u + 3*b - 4 = 0. Let c(l) be the third derivative of 7/60*l**6 - 4/3*l**3 - 4/3*l**4 + 0*l - 1/6*l**5 - l**u + 0. Factor c(g).
2*(g - 2)*(g + 1)*(7*g + 2)
Let l(r) be the third derivative of r**7/1050 - r**5/100 - r**4/60 + 52*r**2. Determine b, given that l(b) = 0.
-1, 0, 2
Factor 0 - 3/2*q**3 + 0*q**4 + 0*q**2 + 0*q + 3/2*q**5.
3*q**3*(q - 1)*(q + 1)/2
Let w(y) be the first derivative of -5*y**3/3 - 5*y**2 - 5*y + 14. Find a such that w(a) = 0.
-1
Let s(d) be the third derivative of -d**5/30 - d**4/6 + 2*d**2. Find q such that s(q) = 0.
-2, 0
Let c(n) = 8*n**3 - 20*n**2 + 16*n - 4. Let r(v) = -9*v**3 + 21*v**2 - 15*v + 3. Let b(y) = -5*c(y) - 4*r(y). Factor b(a).
-4*(a - 2)*(a - 1)**2
Let d(n) be the third derivative of 0 + 0*n + 1/20*n**5 + 0*n**4 + 0*n**3 + 1/40*n**6 + 4*n**2. Factor d(q).
3*q**2*(q + 1)
Solve 2*r**2 - 19*r**2 - 12*r**3 + 9*r**5 + 5*r**2 + 15*r**4 = 0.
-2, -2/3, 0, 1
Let w(r) be the third derivative of 2/3*r**3 + 1/30*r**5 - r**2 - 1/4*r**4 + 0*r + 0. Factor w(h).
2*(h - 2)*(h - 1)
Let m(i) = 45*i**4 + 170*i**3 + 160*i**2 + 45*i - 5. Let n(u) = -67*u**4 - 255*u**3 - 240*u**2 - 68*u + 8. Let d(z) = 8*m(z) + 5*n(z). Factor d(x).
5*x*(x + 1)*(x + 2)*(5*x + 2)
Suppose -m - 4*t + 3*t + 4 = 0, -4*t = -3*m + 5. Solve -i + 0*i**3 + i**m + 0*i**3 = 0.
-1, 0, 1
Let r = -39/4 - -125/12. Let d(v) be the first derivative of -1 + r*v**3 - 2*v - v**2 + 1/2*v**4. Let d(l) = 0. What is l?
-1, 1
Let k = 0 + 2. Suppose -4*h - k = -5*h. Solve 4/5*j - 4/5*j**3 - 2/5 + 0*j**h + 2/5*j**4 = 0 for j.
-1, 1
Let g(h) be the third derivative of h**5/60 - 11*h**2. Factor g(f).
f**2
Suppose 49/2*p**2 + 2 + 14*p = 0. Calculate p.
-2/7
Let y = 138 - 1238/9. Factor 2/9*s**3 - 2/9*s + y - 4/9*s**2.
2*(s - 2)*(s - 1)*(s + 1)/9
Determine t, given that 2/5*t**4 - 2/5*t**3 + 0*t - 4/5*t**2 + 0 = 0.
-1, 0, 2
Let x(w) be the second derivative of -2*w**6/15 + 7*w**5/5 - 5*w**4 + 26*w**3/3 - 8*w**2 - 72*w. Determine o so that x(o) = 0.
1, 4
Suppose b = -3*o + 13, -2*o - b + 0*b + 10 = 0. Let a(i) be the second derivative of 0 + 1/30*i**o + 0*i**2 + 3*i - 1/60*i**4. Let a(l) = 0. Calculate l.
0, 1
Let q(v) be the second derivative of 0 - 27/8*v**2 + 4*v - 1/16*v**4 + 3/4*v**3. Find r, given that q(r) = 0.
3
Factor 1/4*l**4 - 1/4 + 0*l**2 + 1/2*l**3 - 1/2*l.
(l - 1)*(l + 1)**3/4
Find h such that -2/3 + 2/3*h**3 + 2*h - 2*h**2 = 0.
1
Solve 13*u**2 + 4*u - 10*u**2 + 2*u = 0.
-2, 0
Let s(o) be the first derivative of -o**4/4 - 2*o**3 + 4*o**2 + 10*o + 4. Let p be s(-7). Solve 2*g**3 + 0*g + 3*g**2 + p*g**2 - g + 5*g = 0.
-2, -1, 0
Let m(p) = -3*p - 11. Let w(s) = -2*s - 7. Let j(l) = 5*m(l) - 8*w(l). Let h(o) = 2*o**2 - 14*o - 16. Let c(t) = h(t) + 12*j(t). Solve c(q) = 0.
-1, 2
Let t(u) = -3*u**2 + 4*u - 4. Let l(p) = 12*p**2 - 15*p + 15. Let k be (-102)/(-27) - (-2)/9. Let f(j) = k*l(j) + 15*t(j). Factor f(y).
3*y**2
Suppose 0 = 3*s - 17 + 2. Let g = -7 + 9. Solve -l + 9*l - l**g - s*l**2 + 6 + l = 0.
-1/2, 2
Let s(m) be the second derivative of -1/96*m**4 + 2*m + 0 - 1/480*m**6 + 1/120*m**5 + m**2 + 0*m**3. Let h(j) be the first derivative of s(j). Factor h(o).
-o*(o - 1)**2/4
Let a = -1541 - -1546. Let 0 + 0*b + 2/3*b**4 + 1/3*b**2 - 5/6*b**3 - 1/6*b**a = 0. What is b?
0, 1, 2
Let l be (-4)/6 + (-40)/(-6). Solve l*n**3 + n - 4*n**2 + 0*n**2 + 5*n**5 - 4*n**5 - 4*n**4 = 0 for n.
0, 1
Suppose -8/9*v - 2/3 - 2/9*v**2 = 0. What is v?
-3, -1
Let r = 4711/5 - 942. Factor 1/5*q**3 - 1/5*q - 1/5*q**2 + r.
(q - 1)**2*(q + 1)/5
Let w(c) be the first derivative of c**4/18 + 22*c**3/27 + 35*c**2/9 + 50*c/9 - 20. What is r in w(r) = 0?
-5, -1
Let p(c) = 6*c**3 + 6*c**2 + 4*c - 13 + c**3 + 3*c**3. Let m(s) = -3*s + 3*s**3 - 4 + s**2 + s**2 + 4*s. Let f(r) = -7*m(r) + 2*p(r). Factor f(k).
-(k - 1)*(k + 1)*(k + 2)
Let u(y) be the second derivative of -y**4/36 - y**3/9 + y**2/2 - 12*y. Determine i, given that u(i) = 0.
-3, 1
Suppose -9*g = -8*g. Let h(d) be the second derivative of 1/168*d**7 + g*d**6 + 0*d**4 - 1/80*d**5 + 0 + 0*d**2 + 0*d**3 + 2*d. Determine p so that h(p) = 0.
-1, 0, 1
Let h(y) = 7*y**3 - 2*y**2 - 7*y. Let x(f) = -36*f**3 + 11*f**2 + 36*f. Let a(v) = -11*h(v) - 2*x(v). Factor a(j).
-5*j*(j - 1)*(j + 1)
Suppose -20 + 12 + 8 + 2*w**4 = 0. Calculate w.
0
Let i be (-105)/21 + (-34)/(-6). Let f(v) be the second derivative of 1/3*v**3 - 4*v - 1/18*v**4 + 0 - i*v**2. Factor f(a).
-2*(a - 2)*(a - 1)/3
Let r be -3 - 211/(-11) - 6/33. Find g such that -12*g**2 - 8 - r*g - 1/2*g**4 - 4*g**3 = 0.
-2
Let f be (-2 - (4 + -6))/((-4)/(-2)). Factor 2/3*g**5 - 4/3*g**3 + 2/3*g + f*g**2 + 0 + 0*g**4.
2*g*(g - 1)**2*(g + 1)**2/3
Let d be 5/6 + (16/6 - 2). Factor 3/2*c**2 + 1/2 - 1/2*c**3 - d*c.
-(c - 1)**3/2
Determine v so that -1/2*v**2 - 1/2*v + 0 = 0.
-1, 0
Factor 0*y**3 + 2/3*y**4 + 0 - 1/3*y**5 - 2/3*y**2 + 1/3*y.
-y*(y - 1)**3*(y + 1)/3
Let d(f) be the second derivative of -f - 2/15*f**3 - 2/25*f**5 + 0 - 1/5*f**2 + 7/30*f**4. Factor d(c).
-2*(c - 1)**2*(4*c + 1)/5
Let k = -1456/5 + 294. Determine b, given that -32/5*b**2 - 4/5 - 22/5*b - k*b**3 = 0.
-1, -2/7
Let l(k) be the third derivative of -k**5/40 - 3*k**4/4 + 13*k**3/4 - k**2 - 23*k. Solve l(n) = 0 for n.
-13, 1
Let g(j) be the first derivative of -3*j**5/20 + 7*j**4/16 + j**3/2 + 31. Suppose g(i) = 0. Calculate i.
-2/3, 0, 3
What is r in -r**2 + 0*r + 1/2*r**4 + 0 + 1/2*r**3 = 0?
-2, 0, 1
Let 84*d**3 - 18*d**2 + 57*d**4 + 5*d**5 + d**5 - 27*d**3 + 6*d**5 = 0. Calculate d.
-3, -2, 0, 1/4
Let o(c) be the second derivative of 1/6*c**3 + c**2 - 5/12*c**4 - 2*c + 0 + 1/10*c**6 - 1/20*c**5. Factor o(h).
(h - 1)**2*(h + 1)*(3*h + 2)
Let b(w) be the first derivative of -3*w**5/5 + w**3 + 3*w**2 + 6. Let l(p) = -p**4 + p**3 + p. Let q(o) = -b(o) + 6*l(o). Factor q(s).
-3*s**2*(s - 1)**2
Let r = -35 - -18. Let s = -15 - r. Factor -8/3*x - 8/3 + 2*x**s.
2*(x - 2)*(3*x + 2)/3
Suppose 2*n - 8 = -4. Let a(t) be the first derivative of -1/8*t**4 + 1/2*t - 1 + 1/4*t**n - 1/6*t**3. Find b such that a(b) = 0.
-1, 1
Suppose 0 + 5/4*h**4 - 5*h - 35/4*h**2 - 5/2*h**3 = 0. Calculate h.
-1, 0, 4
Let r = -170/3 - -343/6. Factor r - 1/2*d**2 + 0*d.
-(d - 1)*(d + 1)/2
Let 6*s**4 + 0*s**5 - 3*s**3 - 4*s**2 + s**2 - 3*s**4 + 3*s**5 = 0. Calculate s.
-1, 0, 1
Suppose -2*x = -6*x - 16, 14 = 3*n - 2*x. Factor -1 + 4*r + r**4 + 7*r**2 + 2 - r**n + 4*r**3.
(r + 1)**4
Let c(p) be the third derivative of p**7/210 - 7*p**6/600 - 23*p**5/300 - p**4/24 + p**3/5 - 18*p**2. Determine d, given that c(d) = 0.
-1, 2/5, 3
Let q(n) be the first derivative of n**7/2100 + n**6/900 + 2*n**3/3 - 2. Let y(x) be the third derivative of q(x). Determine l, given that y(l) = 0.
-1, 0
Let m(x) be the second derivative of 0 + 1/120*x**5 + 1/2*x**2 + 1/96*x**4 + 0*x**3 + 1/4