4 - z**2 - z - 1. Let t(s) = -k(s) - 6*y(s). What is d in t(d) = 0?
-1, 2/3, 1
Let v(u) be the third derivative of 1/330*u**5 + 1/66*u**4 + 0*u + 3*u**2 + 0*u**3 + 0. Factor v(s).
2*s*(s + 2)/11
Let a(m) be the first derivative of 3*m**5/5 - 3*m**4/4 - 4*m**3 + 15*m**2/2 - 9*m + 2. Let d(c) = -c**2 - 1. Let y(s) = -a(s) + 3*d(s). Factor y(z).
-3*(z - 1)**3*(z + 2)
Let m(h) be the second derivative of -2*h + 0 - 1/15*h**6 + 1/63*h**7 + 1/10*h**5 - 1/18*h**4 + 0*h**3 + 0*h**2. Factor m(u).
2*u**2*(u - 1)**3/3
Let s(c) be the first derivative of -1/18*c**6 - 1/15*c**5 - 1/3*c + 1/6*c**4 - 1/6*c**2 + 2/9*c**3 - 2. Factor s(l).
-(l - 1)**2*(l + 1)**3/3
Factor -1/2*t**2 - 3/4*t**3 + 0*t + 0 - 1/4*t**4.
-t**2*(t + 1)*(t + 2)/4
Factor 0*t**2 - 1/5*t**5 + 0*t + 0 + 0*t**3 - 1/5*t**4.
-t**4*(t + 1)/5
Suppose 4*f - 12 = 12. Suppose -3*s = f, -2*d - 7 = -3*d + 2*s. Factor 4/9*n - 8/9*n**d + 2/9*n**2 - 2/3*n**4 + 0.
-2*n*(n + 1)**2*(3*n - 2)/9
Let h(u) be the third derivative of 0*u**5 - u**2 - 1/96*u**4 + 0 + 0*u**3 + 0*u + 1/480*u**6. Determine q, given that h(q) = 0.
-1, 0, 1
Let f(a) be the first derivative of 4 - 1/5*a + 1/20*a**4 - 1/10*a**2 + 1/15*a**3. Suppose f(t) = 0. Calculate t.
-1, 1
Let c(n) = -n**2 - 15*n - 22. Let f be c(-13). Suppose -7/2*v**3 - 31*v**f + 0 + 45/2*v**5 + 10*v**2 + 2*v = 0. What is v?
-2/5, -2/9, 0, 1
Let n(x) = -x + 2. Let k(d) = 4*d - 9. Let q(w) = -2*k(w) - 9*n(w). Let f be q(2). Factor -2*l**5 + 0*l**2 - f + 38*l**3 + 13*l - 32*l**2 + 7*l**5 - 22*l**4.
(l - 1)**4*(5*l - 2)
Let a be (36/(-48))/((-3)/2). Suppose -o**3 - a*o - 7/4*o**2 + 1/4 = 0. Calculate o.
-1, 1/4
Let r(g) be the first derivative of -g**6/240 + g**5/60 - g**4/48 + 2*g**2 - 1. Let h(s) be the second derivative of r(s). Factor h(w).
-w*(w - 1)**2/2
Let x(w) = -w**2 + 13*w + 9. Let g = 18 - 13. Let c(d) = 16*d - d**2 + 0*d + 4*d + 14 - d**2. Let z(p) = g*c(p) - 8*x(p). Factor z(h).
-2*(h + 1)**2
Let y(r) be the first derivative of r**7/3360 - r**5/160 + r**4/48 - 2*r**3/3 - 3. Let o(u) be the third derivative of y(u). Factor o(n).
(n - 1)**2*(n + 2)/4
Find v such that 11*v**3 - 3*v**4 - 21*v**3 + 5*v + 7*v**3 + 3*v**2 - 2*v = 0.
-1, 0, 1
Let d(s) be the third derivative of 0*s**3 + 0*s - 2/5*s**5 + 0 - 4*s**2 + 1/8*s**6 + 1/2*s**4 - 1/70*s**7. Factor d(x).
-3*x*(x - 2)**2*(x - 1)
Suppose 4*w - 8 + 0 = 0. Let n(t) be the second derivative of 0 - 1/20*t**5 + 0*t**w - 2*t + 1/6*t**4 - 1/6*t**3. Factor n(i).
-i*(i - 1)**2
Let o(u) be the first derivative of -2*u**5/75 + u**4/30 + 2*u**3/45 - u**2/15 + 11. Factor o(v).
-2*v*(v - 1)**2*(v + 1)/15
Let w be (-30)/75 + (-24)/(-10). Factor -2*n**5 - 10*n**4 + 4*n**3 - 8*n**w + n**5 - 20*n**3 - n**5.
-2*n**2*(n + 1)*(n + 2)**2
Let s = 1 + 1. Let b be (-112)/(-49) + s/(-7). What is h in 2/9*h**4 + 0*h**b - 2/9*h**3 + 0*h + 0 = 0?
0, 1
Let o(l) = 6*l**2 - 4*l. Let m(v) = -v - v**2 + 3*v**2 + 3*v**2 - 4*v**2. Let t(h) = 8*m(h) - o(h). Determine s so that t(s) = 0.
0, 2
Suppose -18*u**4 - 2*u**3 + 12*u**4 + 4*u**3 - 2*u**5 + 6*u**2 = 0. Calculate u.
-3, -1, 0, 1
Let l = 115 + -77. Let h = l - 113/3. Factor 0*o + h - 1/3*o**2.
-(o - 1)*(o + 1)/3
Let l(c) be the third derivative of 0*c**4 + 0*c + 4*c**2 + 1/210*c**7 + 0*c**6 + 0 - 1/30*c**5 + 1/6*c**3. Find u, given that l(u) = 0.
-1, 1
Let d = 11 + -17. Let a(m) = -9*m**2 - 9*m - 12. Let u(i) = -8*i**2 - 9*i - 11. Let r(n) = d*u(n) + 5*a(n). Suppose r(w) = 0. Calculate w.
-2, -1
Let f(g) be the first derivative of -g**3 - 3*g**2 + 24*g + 34. Factor f(o).
-3*(o - 2)*(o + 4)
Let u be (-13)/(-5) + (-6)/10. Let -2*h**2 - 4 + 2*h + 3*h**2 + h**u = 0. Calculate h.
-2, 1
Let g(n) be the first derivative of n**4 - 20*n**3/3 + 13. Factor g(s).
4*s**2*(s - 5)
Let h(r) = 3*r**2 + 18*r - 54. Let w(p) = -2*p**2 - 19*p + 53. Let v(d) = -5*h(d) - 6*w(d). Factor v(y).
-3*(y - 4)**2
Find m such that -4/13 + 14/13*m + 40/13*m**2 + 22/13*m**3 = 0.
-1, 2/11
Let d(j) be the second derivative of 0 - 5*j + 1/48*j**4 - 1/24*j**3 - 1/4*j**2. Determine o, given that d(o) = 0.
-1, 2
Let f(h) be the second derivative of -h**6/180 + h**4/24 + h**3/18 - 31*h. Factor f(l).
-l*(l - 2)*(l + 1)**2/6
Suppose 5*f - 25 = 4*d, -5*f = 5*d - 0*d - 25. Let z be (-22)/55*f/(-4). Let 1/2 - w**2 - z*w = 0. What is w?
-1, 1/2
Let d(i) be the first derivative of -5*i**4/14 - 8*i**3/7 - 9*i**2/7 - 4*i/7 + 3. Solve d(s) = 0.
-1, -2/5
Suppose 0 = 3*m - m - 28. Let w = m + -55/4. Determine i so that -1/4*i - w*i**3 + 0 - 1/2*i**2 = 0.
-1, 0
Let y(x) be the first derivative of x**3/9 + x**2/3 - x - 8. Factor y(g).
(g - 1)*(g + 3)/3
Factor 1/4*t**3 + 0 + 1/2*t + 3/4*t**2.
t*(t + 1)*(t + 2)/4
Let d(p) be the second derivative of -p**4/3 - 8*p**3/3 + 10*p. Factor d(q).
-4*q*(q + 4)
Let m = -1448366/7 + 206538. Let t = 372 + m. What is h in -4/7*h**3 - 2*h**4 - 2/7 + 16/7*h**2 + 8/7*h**5 - t*h = 0?
-1, -1/4, 1
Let u(d) = 3*d**2 + d - 4. Let q(z) = -4*z**2 - z + 5. Let h(y) = -4*q(y) - 5*u(y). Suppose h(x) = 0. What is x?
0, 1
Let d(b) = -7*b**2 + 10*b + 2. Let y(k) = -15*k**2 + 20*k + 5. Let v(x) = 5*d(x) - 2*y(x). Factor v(s).
-5*s*(s - 2)
Let s(g) be the second derivative of g**5/20 - g**4/4 - g**3/2 - 2*g**2 + 9*g. Let o be s(4). Factor o + 2/3*q**4 + 0*q**3 + 1/3*q - 2/3*q**2 - 1/3*q**5.
-q*(q - 1)**3*(q + 1)/3
Let j(l) be the third derivative of l**6/24 - 2*l**5/15 + l**4/24 + l**3/3 + l**2. Let j(h) = 0. What is h?
-2/5, 1
Let x(o) be the first derivative of 3*o**5/10 + 3*o**4/8 + 3. What is r in x(r) = 0?
-1, 0
Let j(s) be the second derivative of -4*s + 0 - 1/78*s**4 - 2/39*s**3 - 1/13*s**2. Factor j(o).
-2*(o + 1)**2/13
Let u(q) be the second derivative of q**6/60 + q**5/30 - q**4/6 - q**2 - q. Let k(z) be the first derivative of u(z). Suppose k(g) = 0. Calculate g.
-2, 0, 1
Find h such that -3 + 3*h**3 + 10*h + 0 + 7 + 8*h**2 - h**3 = 0.
-2, -1
Let b(o) = o**2 + 40*o - 37. Let q be b(-41). Solve 2/7*l**2 - 2/7*l**q - 1/7*l**3 + 0 + 0*l + 1/7*l**5 = 0 for l.
-1, 0, 1, 2
Let h(t) be the third derivative of -t**8/8400 + t**7/12600 + t**6/900 - t**5/600 + t**4/6 + t**2. Let d(p) be the second derivative of h(p). Factor d(o).
-(o - 1)*(o + 1)*(4*o - 1)/5
Let c be ((-116)/30 + 4)*6/4. Let d(i) be the second derivative of 1/6*i**4 + 0 - 1/10*i**6 + 2/3*i**3 - c*i**5 + 1/2*i**2 + 3*i. Factor d(f).
-(f - 1)*(f + 1)**2*(3*f + 1)
Factor 20*p + 91*p**3 - 36*p**2 - 30*p**4 + 5*p**5 - 26*p**3 - 24*p**2.
5*p*(p - 2)**2*(p - 1)**2
Let p be (-228)/(-288) - (-3 + (-75)/(-24)). Find n, given that 2*n**3 + 0*n + 0 - p*n**4 - 4/3*n**2 = 0.
0, 1, 2
Let g(k) = -6*k**4 + 6*k**3 + 5*k**2 - 5*k. Let q(j) = -j**4 + j**3 + j**2 - j. Let u(v) = -g(v) + 5*q(v). Find b such that u(b) = 0.
0, 1
Let f(p) = 3*p**3 - 3*p**2 + 7*p + 8. Let u(c) = -5*c**3 + 4*c**2 - 11*c - 12. Let k(h) = 8*f(h) + 5*u(h). Factor k(r).
-(r - 1)*(r + 1)*(r + 4)
Suppose 5/3*a**3 + 1/3*a**4 + 0 + 0*a**2 + 0*a = 0. Calculate a.
-5, 0
Suppose 4*c - 18 = -2*j - j, -2 = -j. Let r be (-10)/(-12) - (-2)/(-6). Factor -3/2*q**2 - 1/2*q**4 + 0 + r*q + 3/2*q**c.
-q*(q - 1)**3/2
Let t(y) be the second derivative of 5*y**7/126 - 2*y**6/15 + y**5/15 + 5*y**4/18 - y**3/2 + y**2/3 - 8*y. Find o, given that t(o) = 0.
-1, 2/5, 1
Solve 2/11*z**3 + 0 + 0*z - 2/11*z**2 = 0.
0, 1
Let w(c) be the first derivative of -c**4 - 4*c**3 + 8*c**2 + 3. Determine z, given that w(z) = 0.
-4, 0, 1
Let t be ((-2)/(-6)*1)/((-28)/(-24)). Determine o so that t*o - 2/7*o**2 + 4/7 = 0.
-1, 2
Let h(g) be the third derivative of 0 + 0*g + 4*g**2 + 0*g**3 + 1/30*g**5 + 1/12*g**4. Determine z so that h(z) = 0.
-1, 0
Let r(h) be the first derivative of -21*h**5/50 - 3*h**4/20 + h**3/5 + 4*h + 2. Let z(s) be the first derivative of r(s). Factor z(l).
-3*l*(2*l + 1)*(7*l - 2)/5
Let d = -16 + 20. Let l be 7/(-14)*d/(-9). Factor -l*y**3 - 2/9*y**2 + 2/9 + 2/9*y.
-2*(y - 1)*(y + 1)**2/9
Let o(s) = s**3 + 14*s**2 + 14*s + 16. Let x be o(-13). Solve 0 + 1/4*i + 1/2*i**2 + 1/4*i**x = 0.
-1, 0
Suppose 5 = -2*t - 3*s, 1 = 2*s + 7. Let d be 1/5 + 4/180. Factor 0 + d*n**t + 0*n.
2*n**2/9
Let o(y) = y**3 - 5*y**2 + 4*y + 2. Let k be o(4). Factor -1/2 - k*b - 3*b**2 - 1/2*b**4 - 2*b**3.
-(b + 1)**4/2
Let c(i) be the first derivative of -1 + 2*i - 2/5*i**5 + 0*i**3 - 2*i**2 + i**4. Factor c(t).
-2*(t - 1)**3*(t + 1)
Solve 0*x*