6/90 - v**3 + 1. Let d(x) be the third derivative of o(x). Factor d(q).
q**2*(5*q + 2)**2*(7*q + 2)/2
Let h(i) be the third derivative of -1/36*i**5 - 1/9*i**3 + 1/90*i**7 + 1/24*i**6 + 8*i**2 - 1/8*i**4 - 1/168*i**8 + 0*i + 0. Suppose h(y) = 0. Calculate y.
-1, -1/2, -1/3, 1, 2
Let r(n) = -n**2 - n + 1. Let h(g) = 31*g**2 - 27*g + 3. Let s be 1 + -5 + 2 - 20. Let f(u) = s*r(u) + 2*h(u). Factor f(b).
4*(3*b - 2)*(7*b + 2)
Suppose 2*j = -6, x - 5*j + 2*j = 13. Determine d so that 0 - 6*d**x + 2*d + 13*d**3 + d**3 - 10*d**2 + 0 = 0.
0, 1/3, 1
Let x(b) be the first derivative of -b**5/80 + b**3/2 - 3*b**2 + 4. Let v(i) be the second derivative of x(i). Let v(u) = 0. What is u?
-2, 2
Let q(l) = -l - 2. Let m be q(6). Let h = m - -13. Let -1 + 2*i**2 - h*i**2 - 3*i - i**3 + 0*i = 0. What is i?
-1
Let h(l) be the first derivative of 3*l**5/5 + 3*l**4/16 + 12. Determine i so that h(i) = 0.
-1/4, 0
Let g(x) = x**5 - 4*x**4 + 2*x**3 - 4*x**2 + x - 4. Let c(z) = -z**4 + z**3 - z**2 - 1. Let s(r) = 4*c(r) - g(r). Find a, given that s(a) = 0.
-1, 0, 1
Let x(z) = 6*z**2 - 3*z + 3. Let d(a) = -a**3 - 5*a**2 + a + 7. Let f be d(-5). Let u(o) = 5*o**2 - 2*o + 2. Let n(r) = f*x(r) - 3*u(r). Factor n(v).
-3*v**2
Let l = 7219/13 - 555. What is b in 2/13*b**3 + 6/13*b**2 + l*b + 0 = 0?
-2, -1, 0
Solve -10 + 21 + 5*f + 5*f**5 - 11 - 10*f**3 = 0.
-1, 0, 1
Let a(n) = 25*n**2 + 50*n - 200. Let x(y) = 5*y**2 + 10*y - 40. Let j(g) = 2*a(g) - 11*x(g). Solve j(h) = 0 for h.
-4, 2
Factor -4*a**4 - a**3 + 21*a**2 - a**4 - 19*a**2 + 4*a**4.
-a**2*(a - 1)*(a + 2)
Suppose 0 = 4*j - 3*j - 8. Let n = -8 + j. Factor -2*h**2 + h**3 + n*h + 7*h**3 - 4*h**3 - 2*h.
2*h*(h - 1)*(2*h + 1)
Let l(k) be the third derivative of -k**5/270 + k**4/36 - 2*k**3/27 - 4*k**2. Solve l(h) = 0.
1, 2
Suppose -2*g + 6 = -2. Suppose 2*s - 3*i - 13 = 2*i, 0 = -4*i - g. Factor 0 + 1/4*b - 6*b**4 + s*b**5 + 3/2*b**2 + 1/4*b**3.
b*(b - 1)**2*(4*b + 1)**2/4
Suppose 4*u + 5 = 3*r, u + 2 = 3*u. Factor 2/9*h**2 - 2/9*h**5 + 0 + 2/9*h**r - 2/9*h**4 + 0*h.
-2*h**2*(h - 1)*(h + 1)**2/9
Let d(c) be the first derivative of 1/4*c**2 - c + 5/6*c**3 - 3/10*c**5 + 2 - 1/8*c**4. Determine p, given that d(p) = 0.
-1, 2/3, 1
Determine q, given that -4/7 - 2/7*q**3 + 2/7*q + 4/7*q**2 = 0.
-1, 1, 2
Let b(p) be the second derivative of 3*p**5/80 - 3*p**4/4 + 6*p**3 - 24*p**2 + 3*p. Suppose b(g) = 0. Calculate g.
4
Let x be (-1)/(-2) - (-20)/8. Factor 6*u**2 - 12*u**3 - 15*u**4 - 2*u**x + 2*u - 3*u**2.
-u*(u + 1)*(3*u + 1)*(5*u - 2)
Let x(b) = -b**5 + 2*b**4 - 6*b**3 + 6*b**2 - b. Let l(h) be the first derivative of h**5/5 - h**3/3 + 2. Let k(p) = 2*l(p) + x(p). Factor k(a).
-a*(a - 1)**4
Let g be (-1)/(-2)*(-4)/(-4)*0. Let l(x) be the third derivative of 0*x - 1/50*x**6 + 0 - 3*x**2 + 1/20*x**5 - 1/40*x**4 + g*x**3. Solve l(j) = 0 for j.
0, 1/4, 1
Let j = 9 - 4. Let y(o) = o**3 + 3*o**2 - 6*o - 6. Let u be y(-4). Factor -3*i**u + i - j*i - i - 2.
-(i + 1)*(3*i + 2)
Let t(j) be the second derivative of 14*j**6/15 + 11*j**5/3 + 49*j**4/9 + 34*j**3/9 + 4*j**2/3 - 10*j. Let t(x) = 0. What is x?
-1, -1/3, -2/7
Factor 8/7*x**2 - 20/7*x + 4/7*x**5 + 8/7 - 16/7*x**4 + 16/7*x**3.
4*(x - 2)*(x - 1)**3*(x + 1)/7
Factor -20/3 + 20/3*y - 5/3*y**2.
-5*(y - 2)**2/3
Suppose 2*i - 12 = -16. Let l(a) = -a**5 + a**3 + a**2 - a + 1. Let b(h) = 7*h**5 + 8*h**4 - 6*h**3 - 12*h**2 + h. Let q(z) = i*l(z) - b(z). Factor q(r).
-(r - 1)*(r + 1)**3*(5*r - 2)
Let w(x) be the first derivative of x**5/30 + x**4/6 - 3*x**2/2 - 2. Let v(p) be the second derivative of w(p). Determine s, given that v(s) = 0.
-2, 0
Find k such that -12/5*k**3 + k**4 + 0*k + 4/5*k**2 + 0 = 0.
0, 2/5, 2
Let n(i) = 0*i + 5*i - 9 - 3*i. Let r be n(6). Suppose r*f**2 - f**2 + f**4 - 3*f**4 = 0. Calculate f.
-1, 0, 1
Let a(h) be the first derivative of -h**4/4 + 3*h**3 - 15*h**2/2 - 25*h + 12. Let a(r) = 0. Calculate r.
-1, 5
Let m = -7/6857 + -26255390/61713. Let w = -425 - m. Let 0 - w*n + 14/9*n**2 = 0. What is n?
0, 2/7
Factor 0 + 4/3*c + 2/3*c**2.
2*c*(c + 2)/3
Determine c so that 6*c**5 - 10*c**2 + 10*c**4 - 4*c + 65*c**3 - 67*c**3 + 0*c = 0.
-1, -2/3, 0, 1
Suppose -7*p + 2*p + 220 = 0. Find d such that 11*d**3 + p*d**4 + 4*d**4 - 3*d**3 + 2*d - 13*d**2 = 0.
-2/3, 0, 1/4
Let w = 1/15 + 2/15. Let u(s) be the first derivative of 2/25*s**5 + 2/5*s**2 + 0*s - 2 - w*s**4 - 2/15*s**3. Factor u(h).
2*h*(h - 2)*(h - 1)*(h + 1)/5
Let g(j) be the second derivative of -j**4/54 - 28*j**3/27 - 196*j**2/9 - 54*j. Factor g(y).
-2*(y + 14)**2/9
Let t = 2 + 0. Suppose -4 = i + t*m - 6, 4*m = 0. Factor 2/11*c - 2/11*c**3 + 2/11*c**4 - 2/11*c**i + 0.
2*c*(c - 1)**2*(c + 1)/11
Let b = -53 - -55. Let g(o) be the first derivative of -3/14*o**4 + 3 + 2/7*o**5 + 0*o + 0*o**b - 4/21*o**3. Find t such that g(t) = 0.
-2/5, 0, 1
Suppose -5*t - 25 - 20 = 0. Let x(y) = -y - 6. Let i be x(t). Factor -i*o + 0*o - o - 2 - 2*o**2.
-2*(o + 1)**2
Factor 8/15*t**2 - 2/15*t + 0.
2*t*(4*t - 1)/15
Let c = -10/9 - -77/45. Factor -6/5*l**2 + c + 3/5*l.
-3*(l - 1)*(2*l + 1)/5
Let j = 38/31 + -173/217. Factor 3/7 - j*l**3 + 3/7*l - 3/7*l**2.
-3*(l - 1)*(l + 1)**2/7
Suppose q - 4*x - 4 = -1, 2*q = -2*x + 6. Let f be -1 + (4 - (q - 0)). Factor 3/4*z**2 - 3/4*z**3 - 1/4*z + f + 1/4*z**4.
z*(z - 1)**3/4
Let t(n) be the third derivative of 0*n**3 + 0*n - 5*n**2 + 0 - 1/270*n**5 - 1/54*n**4. Find g, given that t(g) = 0.
-2, 0
Suppose -5 = -z + 3*b, -2*z - 7*b + 2*b = 1. Let 3/2*s - 3/4*s**4 + 9/4*s**z + 0*s**3 + 0 = 0. Calculate s.
-1, 0, 2
Let k = -33 + 397/12. Let i(c) be the second derivative of k*c**3 - 1/24*c**4 + 1/2*c**2 + 0 - 2*c. Factor i(h).
-(h - 2)*(h + 1)/2
Let r(c) be the third derivative of 121*c**5/60 - 11*c**4/6 + 2*c**3/3 - 9*c**2. Determine i so that r(i) = 0.
2/11
Let u be (-4)/10*(-65)/104. Let v be -7 - -4 - -5*1. Let 3/4*d - 3/4*d**v - 1/4 + u*d**3 = 0. What is d?
1
Let q = 49943/6597 - 11/733. Solve -16/9*c**2 + 2*c**5 + 0 + 56/9*c**3 + 0*c + q*c**4 = 0.
-2, 0, 2/9
Let j(q) = -2*q - 6. Let z be j(-4). Suppose 3*r + 52 = 2*p, -5*r = -3*p - 0*r + 80. Factor -6*k**z - k**4 - 15*k**2 - 7*k**3 + 3*k**2 - p*k - 8.
-(k + 1)*(k + 2)**3
Let h(t) be the first derivative of 3 - 1/360*t**6 - 1/24*t**4 + t**2 + 0*t - 1/18*t**3 - 1/60*t**5. Let r(u) be the second derivative of h(u). Factor r(b).
-(b + 1)**3/3
Let f(r) be the second derivative of -1/7*r**7 - 1/3*r**3 + 0*r**2 - 2*r + 1/3*r**4 - 2/15*r**6 + 2/5*r**5 + 0. Suppose f(h) = 0. What is h?
-1, 0, 1/3, 1
Let i(m) = -12*m**2 + 18*m - 33. Let f(k) = -k**2 - 1. Let u(x) = -9*f(x) + i(x). Solve u(q) = 0 for q.
2, 4
Let w(h) be the second derivative of -3*h**5/20 - h**4 - 5*h**3/2 - 3*h**2 + 5*h. Factor w(o).
-3*(o + 1)**2*(o + 2)
Factor 0*j + 0*j**2 - 2/3*j**4 + 0 - 2/3*j**3.
-2*j**3*(j + 1)/3
Let w = -16 - -23. Find b, given that w*b**2 - 3*b**3 + 0*b**2 - 3*b**2 + b**3 = 0.
0, 2
Let p(z) be the first derivative of z**3 + 24*z**2 + 192*z + 11. Factor p(s).
3*(s + 8)**2
Suppose 4*x + x + 2*f - 23 = 0, 3*f - 3 = 3*x. Suppose 3*u - 4*u - d + 3 = 0, 0 = -u + 5*d - x. Factor -u*i**3 - 2 - 18*i**4 + 4*i**2 + i**3 - 8*i + 25*i**3.
-2*(i - 1)**2*(3*i + 1)**2
Factor 2/9*y**2 - 2/9*y + 2/9*y**3 - 2/9.
2*(y - 1)*(y + 1)**2/9
Let a(s) be the second derivative of s**7/42 - 7*s**6/90 + s**5/12 - s**4/36 + s. Factor a(l).
l**2*(l - 1)**2*(3*l - 1)/3
Let o(m) be the third derivative of -m**8/1008 + 2*m**7/315 - m**6/360 - m**5/18 + m**4/18 + 4*m**3/9 - 5*m**2. What is b in o(b) = 0?
-1, 2
Let n(q) be the third derivative of -q**5/12 + 25*q**4/3 - 1000*q**3/3 + 44*q**2. Factor n(y).
-5*(y - 20)**2
Let s(g) be the third derivative of 0 + 3*g**2 - 1/270*g**5 + 0*g + 2/27*g**3 + 1/108*g**4. Factor s(x).
-2*(x - 2)*(x + 1)/9
Let h be 20/(-225) + 1/5. Let z(b) be the first derivative of 1/6*b**4 + 0*b**2 + h*b**6 + 0*b**3 + 1 + 0*b + 4/15*b**5. What is o in z(o) = 0?
-1, 0
Let o(z) be the third derivative of -z**7/10 - 13*z**6/20 - 27*z**5/20 - z**4/2 + 2*z**3 + 3*z**2. Determine y so that o(y) = 0.
-2, -1, 2/7
Let j(c) be the second derivative of -1/10*c**4 + 0*c**5 + 0*c**2 - c + 2/15*c**3 + 0 + 1/75*c**6. Solve j(l) = 0.
-2, 0, 1
Let w(t) be the first derivative of 1/2*t**4 + 2/3*t**3 + 2 - 2*t**2 + 0*t. What is p in w(p) = 0?
-2, 0, 1
Let k(v) be the third derivative of 0 +