 2/3*v**2 + 4/3*v + 2*v**5 = 0. Calculate v.
-1, 0, 2/3, 1
Let o = -26 + 146/5. Let 0 + 32/5*l**5 + o*l**2 - 16/5*l**4 - 6*l**3 - 2/5*l = 0. Calculate l.
-1, 0, 1/4, 1
Let q(t) be the third derivative of 2*t**7/105 + 7*t**6/60 + 3*t**5/10 + 5*t**4/12 + t**3/3 + 22*t**2. Factor q(g).
2*(g + 1)**3*(2*g + 1)
Suppose 40*h + 21 = 47*h. Let x(s) be the third derivative of 0 + 1/8*s**h + 1/80*s**6 + 1/8*s**4 + 1/16*s**5 - 3*s**2 + 0*s. Factor x(y).
3*(y + 1)**2*(2*y + 1)/4
Let f = 3345/2 + -1671. Suppose 3/4*h**3 + 0 - f*h**5 - 9/4*h**4 + 9/4*h**2 + 3/4*h = 0. Calculate h.
-1, -1/2, 0, 1
Factor -2/3*v**4 + 16/3*v**3 + 0 + 0*v - 32/3*v**2.
-2*v**2*(v - 4)**2/3
Let u(b) be the first derivative of -2/5*b**5 + 0*b - 4 - b**4 + 0*b**2 - 2/3*b**3. Let u(d) = 0. Calculate d.
-1, 0
Suppose n - 6*n + 5*m + 15 = 0, -m - 12 = -4*n. Factor 8*g**3 - 2*g**4 - g**3 - 5*g**n.
-2*g**3*(g - 1)
Suppose 2*d + 0*d = 4*s - 10, 4*d = 4*s - 8. Let w(p) be the first derivative of 1/9*p**3 + 0*p**2 + 1/5*p**5 + s + 1/18*p**6 + 0*p + 1/4*p**4. Factor w(a).
a**2*(a + 1)**3/3
Let o(g) = -g**3 + 9*g**2. Let f be o(9). Suppose 5*c + f*c = 15. Let 7*t**4 + 9*t**c - 2 + 2 + 2*t**5 + 5*t**2 + t = 0. What is t?
-1, -1/2, 0
Let y(v) = -5*v**3 - v. Let m be y(-1). Suppose -4*h = -2*u + 48, m = -h + 1. Let u*i**4 - 4*i**5 + 10*i**3 + 4*i**2 + 10*i**5 - 2*i**2 = 0. Calculate i.
-1, -1/3, 0
Let i(t) be the third derivative of -t**9/13440 + t**8/2688 - t**7/1680 + t**5/30 + 3*t**2. Let q(w) be the third derivative of i(w). Solve q(f) = 0 for f.
0, 2/3, 1
Let u be ((-12*1)/2)/(-2). Let n(h) be the second derivative of 0*h**u + h + 0 - 1/3*h**4 + 1/2*h**2. Suppose n(m) = 0. Calculate m.
-1/2, 1/2
Let o(p) = -6*p**3 + 3*p**2 - 3*p. Let v(x) = 7*x**3 - 4*x**2 + 4*x. Let i(q) = -4*o(q) - 3*v(q). Solve i(s) = 0 for s.
0
Let k(j) be the third derivative of 0 + 1/30*j**5 + 6*j**2 + 5/48*j**4 + 0*j + 1/6*j**3 + 1/240*j**6. Factor k(y).
(y + 1)**2*(y + 2)/2
Let t(c) be the second derivative of 5/12*c**3 + 0 + 3*c + 2/3*c**4 - 1/2*c**2 + 9/40*c**5. Factor t(l).
(l + 1)**2*(9*l - 2)/2
Let z(n) be the second derivative of -n**7/210 + n**6/150 + n**5/100 - n**4/60 + 6*n. Factor z(m).
-m**2*(m - 1)**2*(m + 1)/5
Let m = -13/3 + 97/21. Factor 0*p + 0*p**2 + 0 - m*p**5 + 0*p**4 + 0*p**3.
-2*p**5/7
Let a(x) be the third derivative of 1/180*x**6 - 3*x**2 + 0*x + 0*x**3 + 0*x**4 + 1/45*x**5 - 1/315*x**7 + 0. Find m such that a(m) = 0.
-1, 0, 2
Let l(n) be the second derivative of -1/6*n**3 + 0 - 4*n + 1/20*n**5 + n**2 - 1/6*n**4. Factor l(a).
(a - 2)*(a - 1)*(a + 1)
Let z(t) be the third derivative of t**8/168 - t**7/35 - t**6/15 - 12*t**2. Factor z(l).
2*l**3*(l - 4)*(l + 1)
Factor -3*h**2 - 4/5 + 7/5*h**3 + 13/5*h - 1/5*h**4.
-(h - 4)*(h - 1)**3/5
Factor 2*m**4 - 4*m**2 - 9*m**4 + 4*m**4 + 5*m**4 + 2*m**3.
2*m**2*(m - 1)*(m + 2)
Let m(h) be the third derivative of -h**7/70 - h**6/40 + h**5/20 + h**4/8 + h**2. What is p in m(p) = 0?
-1, 0, 1
Factor 2/5*p**2 - 14/5*p + 12/5.
2*(p - 6)*(p - 1)/5
Let t be (-45)/(-12) - 2/(-8). Suppose -t*b = -2*u - 46, -158 = -5*b - 5*u - 63. Let -4*d**3 - b*d**4 + 0*d + 9*d**2 + 8*d**5 + 7*d**2 - 4*d - 2 = 0. What is d?
-1, -1/4, 1
Let q be 2 + 2*1/1. Suppose -2*m + 4 = -q*g + 12, 4*m + 16 = 5*g. Solve -2*s**4 + 7*s**3 + 4*s**4 - 3*s**3 + g*s**4 = 0 for s.
-2, 0
Let u(w) be the third derivative of -w**8/5040 - w**7/420 + w**5/12 + 6*w**2. Let q(y) be the third derivative of u(y). Find c such that q(c) = 0.
-3, 0
Let p(m) be the second derivative of 5/56*m**7 + 3/80*m**5 + 4*m + 0*m**3 + 0 + 0*m**2 + 1/5*m**6 - 1/8*m**4. Factor p(g).
3*g**2*(g + 1)**2*(5*g - 2)/4
Let l = -1/102 + 944/51. Let a = l - 18. Factor 0 - a*i - 1/2*i**2.
-i*(i + 1)/2
Let c = -86 + 345/4. Suppose -c*x + 1/4*x**2 + 0 = 0. Calculate x.
0, 1
Factor -90*d**2 - 16 + 100*d - 28 + 0 + 4 + 35*d**3 - 5*d**4.
-5*(d - 2)**3*(d - 1)
Let n(k) be the first derivative of -k**3 + 9*k**2/2 - 6*k + 2. Determine f, given that n(f) = 0.
1, 2
Let g(o) be the first derivative of -5*o**4 + 32*o**3/3 - 2*o**2 - 8*o + 6. Factor g(i).
-4*(i - 1)**2*(5*i + 2)
Let d(z) = -17*z - 99. Let x be d(-6). Let f(s) be the first derivative of 2/27*s**3 + 1/18*s**4 + 0*s**2 + 0*s + x. Let f(a) = 0. Calculate a.
-1, 0
Let v(g) be the second derivative of 0 - 2/21*g**7 + 0*g**6 + 0*g**2 + 0*g**3 + 1/5*g**5 + 0*g**4 + 2*g. What is l in v(l) = 0?
-1, 0, 1
Solve 37/8*i**3 - 7/8*i**4 - 1 - 33/4*i**2 + 11/2*i = 0 for i.
2/7, 1, 2
Let f(y) be the third derivative of -1/33*y**3 - 1/330*y**5 + 2*y**2 + 0*y + 0 + 1/66*y**4. Factor f(m).
-2*(m - 1)**2/11
Let z(b) be the third derivative of 0 + 0*b**3 + 0*b**6 - 5*b**2 - 1/630*b**7 + 0*b**5 + 0*b**4 - 1/1008*b**8 + 0*b. Determine i, given that z(i) = 0.
-1, 0
Let f(k) be the third derivative of k**7/105 - k**6/20 - k**5/5 + 7*k**4/3 - 8*k**3 + 12*k**2. Suppose f(s) = 0. Calculate s.
-3, 2
Let i = 27/13 - -9/52. Determine x so that 3/4*x**4 + 9/4*x**3 - 3/2 + 3/4*x**2 - i*x = 0.
-2, -1, 1
Let n(x) be the third derivative of 0 - 1/240*x**5 - 3*x**2 + 0*x - 1/12*x**3 - 1/32*x**4. Factor n(c).
-(c + 1)*(c + 2)/4
Factor -2/5*s + 4/5 - 2*s**2 - 4/5*s**3.
-2*(s + 1)*(s + 2)*(2*s - 1)/5
Suppose h - 5*c - 31 = 0, -4*h + 2*c + 100 = 6*c. Let j = 30 - h. What is d in -4/9*d**j + 0 + 2/9*d**3 + 2/9*d**5 + 0*d + 0*d**2 = 0?
0, 1
Let o(s) be the second derivative of 3*s**5/80 - 3*s**4/8 + 9*s**3/8 - 3*s**2/2 - 8*s. Let o(u) = 0. What is u?
1, 4
Let c(a) be the first derivative of 15*a**4/4 + 2*a**3 + 3. Factor c(n).
3*n**2*(5*n + 2)
Let i(k) = -4*k**3 + 2*k**2 + 10*k + 10. Let z(m) = m**2 + m + 1. Suppose -8 = -4*l + 16. Let f(x) = l*z(x) - i(x). Factor f(n).
4*(n - 1)*(n + 1)**2
Let a(f) be the third derivative of 0*f**3 - 1/120*f**5 + 0 + 0*f**4 + 1/840*f**7 - 1/480*f**6 + 3*f**2 + 0*f. Factor a(x).
x**2*(x - 2)*(x + 1)/4
Let d(z) be the third derivative of z**7/945 - z**6/540 - z**5/135 - 12*z**2. Factor d(t).
2*t**2*(t - 2)*(t + 1)/9
Let d = 365/2 + -166. Let z = d + -227/14. Let z + 4/7*w + 2/7*w**2 = 0. Calculate w.
-1
Factor 1/2*q**3 + 1/2*q**5 + 0 + 0*q - q**4 + 0*q**2.
q**3*(q - 1)**2/2
Let w(q) be the first derivative of -2*q**5/95 + 3*q**4/38 - 4*q**2/19 - 8. Let w(b) = 0. What is b?
-1, 0, 2
Let c = 89643/56 + -18365/8. Let q = c - -696. Factor -2/7*j**2 + 0*j - 10/7*j**4 + 0 + q*j**3 + 4/7*j**5.
2*j**2*(j - 1)**2*(2*j - 1)/7
Let x(j) be the third derivative of -j**8/72 + 26*j**7/315 - j**6/9 - 4*j**5/45 - 3*j**2. Factor x(c).
-2*c**2*(c - 2)**2*(7*c + 2)/3
Let q(j) be the third derivative of -2/3*j**3 - 1/15*j**5 + 1/3*j**4 + 0*j + 0 - 3*j**2. What is i in q(i) = 0?
1
Let w(m) be the first derivative of 5*m**3/18 + m**2/6 - m/2 - 11. Find x such that w(x) = 0.
-1, 3/5
Let j be 10/(-6)*(-4)/30. Factor j*h**2 + 2/9*h - 4/9.
2*(h - 1)*(h + 2)/9
Let n(w) be the third derivative of 0*w + 0*w**5 - 1/525*w**7 + 1/300*w**6 + 0*w**3 + 0 + 0*w**4 + 2*w**2. Factor n(t).
-2*t**3*(t - 1)/5
Let o(d) be the first derivative of -d**4/42 + d**2/7 + 4*d/21 - 12. Let o(w) = 0. Calculate w.
-1, 2
Let u(c) be the second derivative of -c**5/160 + c**4/48 + c**3/48 - c**2/8 - 6*c. Factor u(x).
-(x - 2)*(x - 1)*(x + 1)/8
Let z(m) be the first derivative of -m**6/14 - 9*m**5/35 - 3*m**4/14 - 5. Determine q, given that z(q) = 0.
-2, -1, 0
Factor -3/4*y**3 + 1/4*y**5 - 1/2*y**2 + 0 + 0*y + 0*y**4.
y**2*(y - 2)*(y + 1)**2/4
Factor 45*w**3 + 18 - 6 + 65*w + 100*w**2 - 2.
5*(w + 1)**2*(9*w + 2)
Let q(j) be the second derivative of j**7/1260 + j**6/150 + j**5/75 + j**4/6 + j. Let p(u) be the third derivative of q(u). Suppose p(c) = 0. Calculate c.
-2, -2/5
Let p(g) be the third derivative of -g**5/300 - 2*g**4/15 - 32*g**3/15 - 3*g**2 + 18. Factor p(m).
-(m + 8)**2/5
Let q(d) be the second derivative of 3*d**5/100 + d**4/4 + 7*d**3/10 + 9*d**2/10 + 8*d. Factor q(r).
3*(r + 1)**2*(r + 3)/5
Let z = -1986 - -9964/5. Factor -2/5 - z*m**2 - 21/5*m**3 - 3*m.
-(m + 1)*(3*m + 1)*(7*m + 2)/5
Let m be 6/((-1)/4*-4). Let v be 6/m - (1 - 0). Factor 0 + 2/9*w**3 - 2/9*w**2 + v*w.
2*w**2*(w - 1)/9
Suppose -g = g - 2. Let a(v) be the first derivative of 2/11*v - g + 2/11*v**3 - 1/22*v**4 - 3/11*v**2. Suppose a(u) = 0. Calculate u.
1
Let z(p) = -p**2 + p. Let u(y) = 8*y**2 + 12*y + 16. Let v(g) = u(g) + 4*z(g). Let v(s) = 0. Calculate s.
-2
Let n(