 6*z**2 + 7*z + 3. Let l be j(7). Let b(a) be the first derivative of -4*a**3 + 4*a**l + a**3 - 1 - 3*a**2. Factor b(w).
3*w*(w - 2)
Suppose -29*x + 18*x = -33. Suppose 2/7*w - 2/7*w**2 - 2/7*w**x + 2/7 = 0. Calculate w.
-1, 1
Let g(q) be the first derivative of 3/5*q - 9/10*q**2 - 2 - 4/5*q**3. Factor g(s).
-3*(s + 1)*(4*s - 1)/5
Suppose 4/5*q + 2/5*q**2 - 6/5 = 0. Calculate q.
-3, 1
Let z(q) be the second derivative of -q**8/2240 - q**7/420 - q**6/240 + q**4/4 + 4*q. Let n(j) be the third derivative of z(j). Solve n(k) = 0 for k.
-1, 0
Let l(f) be the first derivative of -f**7/105 + f**5/15 - f**3/3 - 3*f**2/2 - 1. Let a(w) be the second derivative of l(w). Find y, given that a(y) = 0.
-1, 1
Let p(f) be the first derivative of -f**6/30 - 2*f**5/25 + 2*f**3/15 + f**2/10 - 1. Suppose p(d) = 0. What is d?
-1, 0, 1
Let m(n) be the first derivative of -2*n**5/75 + 2*n**3/45 - 13. Factor m(r).
-2*r**2*(r - 1)*(r + 1)/15
Let w = 35/12 - 9/4. Factor 0 - w*k**2 + 0*k.
-2*k**2/3
Let q(p) be the first derivative of 1 - 3/4*p**2 - 1/2*p - 1/2*p**3 - 1/8*p**4. Determine d so that q(d) = 0.
-1
Let o(t) be the second derivative of -t**7/63 + t**6/15 - t**5/10 + t**4/18 - 3*t. Factor o(m).
-2*m**2*(m - 1)**3/3
Let x = -88 + 265/3. Find c such that c**3 - c**4 - 1/3*c**2 + 0 + 0*c + x*c**5 = 0.
0, 1
Factor 2*l**2 - 3*l**2 + 2*l**5 + l**2 + 4*l**4 - 4*l**2 - 2*l.
2*l*(l - 1)*(l + 1)**3
Let l = 247/6 - 41. Let z(b) be the first derivative of 5/3*b**2 - 4/3*b - 8/9*b**3 + l*b**4 + 2. Find a, given that z(a) = 0.
1, 2
Let u(x) be the third derivative of -1/240*x**6 + 0 + 1/672*x**8 - 1/120*x**5 + 0*x**4 - 4*x**2 + 1/420*x**7 + 0*x + 0*x**3. Factor u(r).
r**2*(r - 1)*(r + 1)**2/2
Determine l so that 2/9*l**2 + 2/9 - 4/9*l = 0.
1
Let x(z) be the first derivative of z**6/2340 - z**5/260 + z**4/78 - z**3 + 3. Let a(c) be the third derivative of x(c). Factor a(m).
2*(m - 2)*(m - 1)/13
Let f(q) be the first derivative of q**6/1440 + q**5/160 + q**4/48 + 5*q**3/3 + 2. Let o(n) be the third derivative of f(n). Solve o(z) = 0 for z.
-2, -1
Let l(n) be the first derivative of -1/21*n**6 - 4 + 0*n + 1/14*n**4 + 2/21*n**3 + 0*n**2 - 2/35*n**5. Factor l(c).
-2*c**2*(c - 1)*(c + 1)**2/7
Let u(i) be the third derivative of 0*i**5 + 0*i - 3/70*i**7 - 2*i**2 + 0*i**3 + 0*i**4 - 1/20*i**6 - 1/112*i**8 + 0. Factor u(x).
-3*x**3*(x + 1)*(x + 2)
Suppose 0 = -2*v - f + 4, 3*f - 6 = -3*v. Factor 8/3*x - v - 2/3*x**2.
-2*(x - 3)*(x - 1)/3
Solve 1/2*b**2 + 1/4*b**5 - 1/2*b**4 - 1/4*b + 0 + 0*b**3 = 0 for b.
-1, 0, 1
Let z(h) be the second derivative of h**4 - 4*h**3/3 + 6*h. Factor z(d).
4*d*(3*d - 2)
Let r(w) = -w**2 + 8*w - 5. Let f be r(7). Let h be 3/(-30) + (-6)/(-10). Determine a, given that -h*a - 1/2*a**3 + 0 + a**f = 0.
0, 1
Factor -8/5*i**3 + 2/5*i**4 + 12/5*i**2 + 2/5 - 8/5*i.
2*(i - 1)**4/5
Let l(u) be the third derivative of -1/100*u**5 + 0*u + 0 - 1/15*u**4 + 6*u**2 - 2/15*u**3. Factor l(o).
-(o + 2)*(3*o + 2)/5
Let g(j) = -j**2 + 6*j + 10. Let w be g(7). Factor 0 + h**2 - 1/2*h**w - 1/2*h.
-h*(h - 1)**2/2
Let b(x) be the third derivative of x**8/6720 + x**7/1680 - x**5/15 - x**2. Let y(z) be the third derivative of b(z). Factor y(c).
3*c*(c + 1)
Suppose -5*y**5 + 8*y**3 - 4*y + 4*y**5 - 3*y**5 = 0. What is y?
-1, 0, 1
Let g(t) be the second derivative of -t + 0*t**2 + 0*t**5 - 1/1800*t**6 + 1/6*t**3 + 0 + 1/120*t**4. Let s(d) be the second derivative of g(d). Factor s(r).
-(r - 1)*(r + 1)/5
Let g(u) be the second derivative of -1/6*u**3 - 1/12*u**4 - 6*u + 0 + u**2. Factor g(n).
-(n - 1)*(n + 2)
Let c(m) = m**3 + 1. Let o be c(-1). Find i, given that -2/7*i**2 + 4/7*i + o = 0.
0, 2
Let v = -8 - -13. Solve i + 4*i**4 - 4*i**2 - 3*i**5 + i + i**v = 0.
-1, 0, 1
Let g(v) = 12*v**3 - v**2 + 1. Let b be g(-1). Let j be (40/b + 3)*0. Factor j + 4/9*s - 2/9*s**2.
-2*s*(s - 2)/9
Let s(q) be the third derivative of -q**7/420 - q**6/80 - q**5/40 - q**4/48 - 4*q**2. Factor s(p).
-p*(p + 1)**3/2
Let n(f) be the first derivative of -f**4 - 4*f**3/3 + 8*f**2 + 16*f + 18. Suppose n(x) = 0. What is x?
-2, -1, 2
Let k(x) be the first derivative of -3 - 32/5*x + 56/5*x**2 - 18/5*x**4 - 16/3*x**3 + 9/10*x**6 + 54/25*x**5. Factor k(y).
(y + 2)**2*(3*y - 2)**3/5
Let q be 2 + (1 - 0/3). Let 4*o**q + o**4 - 5*o**4 + 2*o**4 + 2 - 2*o - 2*o = 0. What is o?
-1, 1
Let w(s) be the first derivative of -4*s**5/3 - 35*s**4/12 - 10*s**3/9 + 5*s**2/6 - 8. Solve w(h) = 0 for h.
-1, 0, 1/4
Let f(t) be the second derivative of -t**7/350 + t**5/100 + 5*t**2/2 + t. Let u(y) be the first derivative of f(y). Suppose u(d) = 0. What is d?
-1, 0, 1
Suppose 20 = 4*r + 4*l, -r = -4*r + l - 5. Let o be (r/2)/(0 + 1). Find z such that -1/4*z**3 + 1/4*z**5 + 0*z + 0*z**4 + 0 + o*z**2 = 0.
-1, 0, 1
Let i(y) be the third derivative of y**6/60 - 7*y**5/30 + 5*y**4/4 - 3*y**3 + 3*y**2. Factor i(t).
2*(t - 3)**2*(t - 1)
Let n(l) = -l**3 - l. Let t(u) = 3*u**3 + 6*u**2 + u - 8. Let i(h) = h - 5. Let o be i(6). Let f(v) = o*t(v) + n(v). Solve f(a) = 0.
-2, 1
Factor -4 - 2*f**3 - f**3 + 6*f - f**3 + 2*f**3.
-2*(f - 1)**2*(f + 2)
Let -3/7*p**2 + 15/7*p + 0 = 0. Calculate p.
0, 5
Let x(v) = 34*v**2 + 6*v - 4. Suppose 0 = -4*z + z + 12. Let k(a) = -33*a**2 - 5*a + 4. Let y(f) = z*k(f) + 3*x(f). Let y(n) = 0. Calculate n.
-2/5, 1/3
Let z(q) be the second derivative of q**5/35 + 5*q**4/21 + 2*q**3/7 - 18*q**2/7 + 7*q. Factor z(b).
4*(b - 1)*(b + 3)**2/7
Let c = -14 + 23. Let b(a) = a**2 - 4*a + 3. Let v(q) = -2*q**2 + 9*q - 7. Let u(j) = c*b(j) + 4*v(j). Factor u(g).
(g - 1)*(g + 1)
Suppose -4 = 6*g - 7*g. What is i in -2*i**5 - 2/3*i + 20/3*i**g - 8*i**3 + 0 + 4*i**2 = 0?
0, 1/3, 1
Let b = 10 + -4. Let g = b + -3. Solve -1/2*s**g + s**2 - 1/2*s + 0 = 0 for s.
0, 1
Factor 0*m**4 + 0*m + 1/2*m**3 + 0 - 1/2*m**5 + 0*m**2.
-m**3*(m - 1)*(m + 1)/2
Let b(n) = n**4 + n**3 - n - 1. Let z(k) = -15*k**4 - 31*k**3 - 18*k**2 + 7*k + 9. Let i(y) = 5*b(y) + z(y). Determine x, given that i(x) = 0.
-1, 2/5
Let h(g) be the third derivative of -1/140*g**7 + 1/80*g**6 + 1/40*g**5 + 0*g - 1/16*g**4 + g**2 + 0*g**3 + 0. Factor h(a).
-3*a*(a - 1)**2*(a + 1)/2
Suppose 7*y**3 + 4*y**2 - 1 - 7*y + 3*y**2 - 1 - 5*y**2 = 0. What is y?
-1, -2/7, 1
Let v = 878/5 + -12217/70. Let d(a) be the first derivative of 0*a + 22/35*a**5 - 2/7*a**2 - 1 - 1/7*a**6 + 6/7*a**3 - v*a**4. What is h in d(h) = 0?
0, 2/3, 1
Let d(b) = -b**3 - 4*b**2 - b + 3. Let u be d(-3). Let w(h) = -h**3 - 2*h**2 + 4*h + 7. Let f be w(u). Factor -2/7*m**2 - 2/7*m + 2/7*m**3 + 2/7*m**f + 0.
2*m*(m - 1)*(m + 1)**2/7
Let t(c) be the second derivative of -c**3/6 + c**2/2 - 5*c. Let d(z) = 6*z**2 - 4*z - 22. Let s(j) = -d(j) - 10*t(j). Factor s(m).
-2*(m - 3)*(3*m + 2)
Let m be (-114)/(-8) - 2/8. Let s be ((-4)/(-7))/(4/m). Factor -2 + 4 - 1 - 2*q + q**s.
(q - 1)**2
Let t(j) be the second derivative of j**5/5 - j**3/2 + j**2/2 - 7*j. Suppose t(c) = 0. Calculate c.
-1, 1/2
Let q(a) be the first derivative of a**3/3 + 2*a**2 + 4*a - 4. Solve q(s) = 0 for s.
-2
Let n = 1 - -3. Factor s - n*s**4 + 3*s**2 + 11*s**3 + 6*s**2 - 1 + 8*s**4.
(s + 1)**3*(4*s - 1)
Let v be (-30)/150*-1*4. Factor -1/5 - 3/5*j + v*j**2.
(j - 1)*(4*j + 1)/5
Let x be -2 + -1 + 10 + -4. Let b(t) be the first derivative of t**2 - 2/5*t**5 - 1/2*t**4 + 0*t + 2 + 2/3*t**x. Factor b(l).
-2*l*(l - 1)*(l + 1)**2
Let u be 3/(-2) + (-6)/(-20)*5. Factor -h**2 + u + h + 1/4*h**3.
h*(h - 2)**2/4
Let q be 6/(-12) - (18/(-12) + -2). Factor 2*m**2 + 5/4*m**q + 1/4*m**4 + m + 0.
m*(m + 1)*(m + 2)**2/4
Let n(l) be the second derivative of l**7/2100 - l**5/300 + 2*l**3/3 - l. Let h(y) be the second derivative of n(y). Find i such that h(i) = 0.
-1, 0, 1
Factor -3/2 - 9/2*t + 3*t**3 + 3/2*t**5 - 3*t**2 + 9/2*t**4.
3*(t - 1)*(t + 1)**4/2
Let g = -74 + 519/7. Suppose 1/7 - g*q**2 + 0*q = 0. What is q?
-1, 1
Let g(h) = -2*h**3 - 4*h**2 - h + 2. Let v be g(-2). Factor -3*m + 45*m**2 + 3 - 4 - 7 + 21*m**v - 57*m**3 + 2.
3*(m - 1)**3*(7*m + 2)
Let d(w) be the first derivative of 2/21*w**3 + 0*w - 2/7*w**2 - 1. Factor d(n).
2*n*(n - 2)/7
Suppose j = 3*r + 26, -5*j = -4*r + 14 - 56. Let a(f) = f**2 + 9*f + 12. Let k be a(r). Suppose -k*u**2 - 2*u - 2*u**2 - 2*u + 0*u = 0. Calculate u.
-2/3, 0
Let d = -11 - -5. Let o(x) = x**3 + 6*x**2 - 2*x - 7. Let 