*4 + 6*x**3 + 11*x**2 - 8*x + 6. Let z(o) = -o**4 + o**2 - o + 1. Let k(m) = y(m) - 6*z(m). Solve k(n) = 0 for n.
-1/2, 0, 2/5, 1
Let o(z) be the third derivative of -6*z**2 - 1/20*z**5 + 0 + 0*z + 1/12*z**4 + 1/120*z**6 + 0*z**3. Factor o(s).
s*(s - 2)*(s - 1)
Let z be (-30)/21 + -4 + 6. Let o(j) be the first derivative of 1 - 2/7*j - z*j**2 - 2/7*j**4 - 2/35*j**5 - 4/7*j**3. Factor o(w).
-2*(w + 1)**4/7
Let j be (-4)/(-15)*3*5. Let h(s) be the second derivative of 2/21*s**3 + 1/42*s**j - 2*s + 1/7*s**2 + 0. Factor h(k).
2*(k + 1)**2/7
Suppose 0 = 3*c - 11 - 10. Let q(m) be the second derivative of 1/70*m**5 + 0 + 0*m**2 - 2/105*m**6 + 0*m**4 + 0*m**3 + 1/147*m**c - 3*m. Factor q(i).
2*i**3*(i - 1)**2/7
Let g(a) = 2*a**3 + 5*a**2 - 5*a - 1. Let x be g(-3). Factor 3/2*b**3 - 1/2*b**x - b**2 + 0*b + 0*b**4 + 0.
-b**2*(b - 1)**2*(b + 2)/2
Let u(o) be the third derivative of o**8/112 + 17*o**7/70 + 47*o**6/20 + 19*o**5/2 + 161*o**4/8 + 49*o**3/2 + 2*o**2 + 14. Factor u(t).
3*(t + 1)**3*(t + 7)**2
Factor -35/6*u + 15/2*u**2 + 5/3 - 25/6*u**3 + 5/6*u**4.
5*(u - 2)*(u - 1)**3/6
Let j(m) be the first derivative of -m**3/7 - 6*m**2/7 - 9*m/7 + 4. Factor j(t).
-3*(t + 1)*(t + 3)/7
Factor 1 - 88*w**2 + 91*w**2 - 9*w - 1.
3*w*(w - 3)
Solve 4 + 14*y**2 - 15*y**2 + 39*y - 35*y - y**3 = 0 for y.
-2, -1, 2
Let s(f) be the second derivative of -f**5/110 - f**4/22 + 16*f. Solve s(p) = 0.
-3, 0
Factor 261 + 8*d**5 + 12*d**3 - 261 + 2*d**2 + 18*d**4.
2*d**2*(d + 1)**2*(4*d + 1)
Let d be 20/(-16)*(-2 - 28/(-20)). Suppose -15/4*x**2 - d*x**3 - 3 - 6*x = 0. Calculate x.
-2, -1
Let s be 1/((-58)/(-435) - (-1)/5). Factor 4/7*n**s - 2/7*n**4 + 2/7 + 0*n**2 - 4/7*n.
-2*(n - 1)**3*(n + 1)/7
Let w(b) be the third derivative of -1/15*b**5 + 0 + 0*b**3 + 0*b - b**2 + 7/120*b**6 - 1/6*b**4 + 1/21*b**7 + 1/112*b**8. Find z such that w(z) = 0.
-2, -1, 0, 2/3
Let h(z) be the second derivative of -z**7/105 + 2*z**6/75 - z**4/15 + z**3/15 - 5*z. Determine y, given that h(y) = 0.
-1, 0, 1
Solve -3/2*p + 3/2*p**3 + 2*p**4 - 5/2*p**2 + 1/2 = 0 for p.
-1, 1/4, 1
Let k be ((-69)/92)/(3/(-2)). Factor 0 + 0*c + 1/2*c**2 + 0*c**3 - k*c**4.
-c**2*(c - 1)*(c + 1)/2
Let r be (-46)/115 + (12/5 - -1). Solve 0 + 0*i + 3/5*i**2 - 6/5*i**r - 9/5*i**4 = 0.
-1, 0, 1/3
Let d be 12/10*(1 + 6/4). Find t, given that -2/9 + 2/3*t**d - 2/3*t + 2/9*t**2 = 0.
-1, -1/3, 1
Let r = 146/3 - 48. Let 0*n + 0 - r*n**2 = 0. What is n?
0
Let v(m) be the third derivative of m**5/390 + m**4/78 - 4*m**2 + 3*m. Let v(w) = 0. Calculate w.
-2, 0
Let y(i) = 18*i**4 + 15*i**3 - 6*i**2 - 15*i + 3. Let c(b) = b**4 + b**3 - b. Let f(w) = -15*c(w) + y(w). Suppose f(l) = 0. Calculate l.
-1, 1
Let g be -4 - (6 + 1 - 13). Let -2/11*n + 0*n**g + 0 + 2/11*n**3 = 0. Calculate n.
-1, 0, 1
Solve 4/9*j + 2/9*j**4 - 2/9*j**2 - 2/3*j**3 + 2/9*j**5 + 0 = 0.
-2, -1, 0, 1
Let z = 105 - 101. Factor -2/3*i**4 - 8/3*i - 8/3*i**3 - z*i**2 - 2/3.
-2*(i + 1)**4/3
Let v(c) = c + 10. Let l be v(-8). Let p = -2 + l. Let 0*z**4 + z - 3*z**2 - 2*z**4 - 5*z**3 + p*z + 1 = 0. Calculate z.
-1, 1/2
Suppose -3*d - 22 = -3*v - 5*d, -2*d = v - 14. Factor a**4 + 2*a**2 + a**v - 3*a**4 - a**2.
-a**2*(a - 1)*(a + 1)
Suppose 0 = 4*s - 0*g + g + 1, 0 = 2*s + 5*g + 5. Find n such that -2/7*n + 0 + 2/7*n**3 + s*n**2 = 0.
-1, 0, 1
Let m(y) be the third derivative of y**7/70 - 3*y**6/10 + 23*y**5/10 - 15*y**4/2 + 25*y**3/2 - 12*y**2. Factor m(x).
3*(x - 5)**2*(x - 1)**2
Suppose 0 = 5*f, -12 = p - 5*p - 5*f. Let q = 121/265 + -3/53. Let q - 2/5*y**p - 2/5*y**2 + 2/5*y = 0. Calculate y.
-1, 1
Factor -68/5*u - 2/5*u**2 - 578/5.
-2*(u + 17)**2/5
Let h(w) = w**3 - 2*w**2 + 1. Let m be h(1). Suppose m*x - x = -10. Factor 14*s**2 + 2*s - 4 - x*s - 2*s.
2*(s - 1)*(7*s + 2)
Let y(w) = -2*w**5 - 2*w**4 + 2*w**3 + 2*w**2 - 2. Let v(c) = -1. Let a(q) = -2*v(q) + y(q). Find f such that a(f) = 0.
-1, 0, 1
Let h(p) be the third derivative of -7*p**2 + 0*p - 1/60*p**6 + 1/30*p**7 + 0 + 1/84*p**8 + 1/6*p**3 - 1/12*p**4 - 2/15*p**5. Factor h(b).
(b - 1)*(b + 1)**3*(4*b - 1)
Let a be (1/45)/((-16)/(-16)). Let j(x) be the third derivative of 0*x**4 + 0*x + x**2 + a*x**5 - 1/315*x**7 + 0*x**3 + 0 + 1/180*x**6. What is s in j(s) = 0?
-1, 0, 2
Let h(i) be the first derivative of i**3/9 - 4*i/3 + 4. Solve h(b) = 0.
-2, 2
Let c(i) be the first derivative of 2/33*i**3 - 6 + 8/11*i + 4/11*i**2. Factor c(w).
2*(w + 2)**2/11
Let p be 3/(1/(-3) + 0). Let n = p - -15. Factor -o - n*o**4 - 3*o + o**4 + 2 + 3*o**4 + 4*o**3.
-2*(o - 1)**3*(o + 1)
Suppose 1 + 3 = 4*u, 4*f - 5*u = 3. Let w(i) be the first derivative of 0*i + 2/15*i**3 + 1/5*i**f - 2. Determine q, given that w(q) = 0.
-1, 0
Let a(t) = t**3 + 2*t**2 + 6*t + 3. Let j be a(0). Find x, given that 5/4*x - 1/4 + 3/4*x**j - 7/4*x**2 = 0.
1/3, 1
Let y(k) be the second derivative of k**6/75 - 4*k**5/25 + 11*k**4/15 - 8*k**3/5 + 9*k**2/5 - 8*k. Let y(p) = 0. What is p?
1, 3
Suppose -y - 2*a - 2 = 0, 0*y - y + 3*a + 8 = 0. Determine v so that y - 3*v + v + 2*v - 2*v**2 = 0.
-1, 1
Suppose -3*a = 4*v + 30, 5*a - 2*v = v - 21. Let s be 3 + 2/a*0. Solve -2/3 + 4/3*u**s + 0*u**2 + 2/3*u**4 - 4/3*u = 0.
-1, 1
Let n(u) be the third derivative of u**5/20 + u**4/8 - 6*u**2. Factor n(t).
3*t*(t + 1)
What is h in 2917 - h**5 + 4*h**2 - 2*h**3 - 4*h**4 + 3*h - 2917 = 0?
-3, -1, 0, 1
Let v(m) be the second derivative of 0 + 7/2*m**3 - 8*m + 1/2*m**4 + 9/2*m**2. Find b, given that v(b) = 0.
-3, -1/2
Suppose -4*l = -3*f - 10, -4*l = f + 4*f - 26. Suppose -f = -w + u, 5*w - 5*u - 6 = 2*w. What is d in -d**4 - d**4 + w*d**5 + 0*d**5 = 0?
0, 1
Let b be 1/(-3) - (-38)/6. Factor -6*f**2 + 3*f**3 - 3*f + b*f - 2*f**4 + 3*f**3 - f.
-2*f*(f - 1)**3
Find g such that 1 - 7/2*g**3 + 22/3*g**2 - 29/6*g = 0.
3/7, 2/3, 1
Let d(x) be the first derivative of -4/21*x**3 + 6 - 2/35*x**5 + 0*x**2 + 3/14*x**4 + 0*x. Let d(f) = 0. What is f?
0, 1, 2
Let z(d) be the second derivative of d**7/4620 - d**5/660 - 2*d**3/3 + 5*d. Let s(y) be the second derivative of z(y). Factor s(i).
2*i*(i - 1)*(i + 1)/11
Let d(y) = 10*y**3 - 14*y**2 + 2*y + 4. Let x(c) = 21*c**3 - 29*c**2 + 5*c + 8. Suppose -2*r - 3 = -7. Let t(o) = r*x(o) - 5*d(o). Factor t(p).
-4*(p - 1)**2*(2*p + 1)
Let x(l) be the second derivative of 0*l**2 + 2/15*l**3 + 1/10*l**4 - 1/10*l**5 + 0 - l. Determine c so that x(c) = 0.
-2/5, 0, 1
Let y(s) be the second derivative of 3/40*s**5 - 1/8*s**4 + 1/12*s**3 - s + 0 - 1/60*s**6 + 0*s**2. Let y(w) = 0. What is w?
0, 1
Let j(z) = -z**3 + 4*z**2 - 1. Let o be j(4). Let g be (-9)/15*o*5. Let y(x) = -x**2 - 4*x. Let a(d) = d. Let r(i) = g*a(i) + y(i). Let r(s) = 0. Calculate s.
-1, 0
Let a(h) be the third derivative of 2*h**7/21 + 5*h**6/6 + 37*h**5/12 + 25*h**4/4 + 15*h**3/2 - 3*h**2. What is s in a(s) = 0?
-3/2, -1
Determine j so that 18 - 4 + 1 + j + 5*j**2 + 19*j = 0.
-3, -1
Let f(s) be the third derivative of s**7/140 - s**5/40 + 4*s**2. Factor f(i).
3*i**2*(i - 1)*(i + 1)/2
Suppose 4*q - 4 = 4. Factor -3*f**3 - f**2 + 0*f**3 + q*f**3 + 4*f**3.
f**2*(3*f - 1)
Let x(r) be the second derivative of 1/8*r**3 + 2*r + 3/4*r**2 - 1/16*r**4 + 0. Factor x(w).
-3*(w - 2)*(w + 1)/4
Suppose 0*u**2 + 0 - 3/5*u**3 + 0*u - 1/5*u**4 = 0. Calculate u.
-3, 0
Factor 0 + 1/3*l**3 + 1/3*l**2 + 0*l.
l**2*(l + 1)/3
Let y(d) be the second derivative of -2*d**7/21 + 4*d**5/5 + 2*d**4/3 - 2*d**3 - 4*d**2 - 28*d. Factor y(r).
-4*(r - 2)*(r - 1)*(r + 1)**3
Let f(z) be the second derivative of -z**4/36 - z**3/9 - z**2/6 - z. Factor f(w).
-(w + 1)**2/3
Let q(c) be the first derivative of c**5/5 - 5*c**4/16 - c**3/6 + 3*c**2/8 + 19. Factor q(h).
h*(h - 1)**2*(4*h + 3)/4
Let k(j) be the third derivative of j**6/480 + j**5/40 + j**4/8 - j**3/3 - 3*j**2. Let n(m) be the first derivative of k(m). Factor n(h).
3*(h + 2)**2/4
Let i = 283 + -280. Factor 0 + 4/3*u**i - 4/3*u**2 + 1/3*u.
u*(2*u - 1)**2/3
Let z(s) be the third derivative of s**5/20 - s**4/12 + 42*s**2. Factor z(j).
j*(3*j - 2)
Let j = 54 - 50. Determine y, given that -8/11*y + 12/11*y**2 + 2/11*y**j + 2/11 - 8/11*y**3 = 0.
1
Let n(q) be the third derivative of q**5/12 + q**4/2 + 22*q**2. Factor n(r).
r*(5*r + 12)
Factor -15 + 9*k**4 + 33*k + k**5 + 32*k**2 + 24 + 30*k**3 + 14*k**2.
(k + 1)**3*(k + 3)**2
Let o(l) = 2*l**3 - 18*l**2 - 32*l. Let y(