 z**2 + 19 - 9*z - 11.
3*(z - 1)*(z + 1)**2*(z + 2)
Let d = 205/24 - 63/8. Factor -d*m**2 + 1/6 - 1/2*m.
-(m + 1)*(4*m - 1)/6
Let g be ((-8)/12)/((-2)/6). Suppose 2*p = -g*p. Factor 2*u**4 + p*u**3 + 0*u**3 + 4*u**3 - 2 - 4*u.
2*(u - 1)*(u + 1)**3
Let t(y) be the first derivative of -1/4*y**2 - 1/6*y**3 + y - 2. Factor t(h).
-(h - 1)*(h + 2)/2
Let r be (-3)/(-8) - (6 + (-6)/1). Let l(f) be the first derivative of 0*f - 2 + 1/4*f**2 + 2/3*f**3 + r*f**4. Determine g, given that l(g) = 0.
-1, -1/3, 0
Suppose -h - 5 = -5*q, 0*h + 4*h = -4*q + 28. Suppose 0 = -2*s + 7*s - 3*o, h*s - 4*o = 0. Determine x, given that -1/2*x**2 + 0*x**3 + s*x + 0 + 1/2*x**4 = 0.
-1, 0, 1
Suppose 2*z + 12 = 4*h, -3*h + 2 = z - 7. Suppose -3 - h = -2*f. Factor -n + 0 + n**f + 1 - 3 + 3 - n**2.
(n - 1)**2*(n + 1)
Let y(c) = -c**2 + c. Suppose 6*j = 2*j + 72. Let n(v) = -8*v**2 + 3*v + 9. Let x(o) = j*y(o) - 2*n(o). Factor x(t).
-2*(t - 3)**2
Let s(i) be the second derivative of 0 + 0*i**5 - 1/50*i**6 + 0*i**3 - 2*i - 3/10*i**2 + 1/10*i**4. Let s(g) = 0. What is g?
-1, 1
Let p(u) = 4*u**4 + 3*u**2 - 2*u - 5. Let z(t) = -5*t**4 - 3*t**2 + 2*t + 6. Let r(f) = -6*p(f) - 5*z(f). Let r(m) = 0. What is m?
-2, 0, 1
Let k(q) = -2*q**4 - q**3 - 2*q**2 - 3*q. Let l(x) = -5*x**4 - 3*x**3 - 5*x**2 - 7*x. Let f(d) = -14*k(d) + 6*l(d). Factor f(b).
-2*b**2*(b + 1)**2
Let f = 17 - 11. Let q(l) be the second derivative of 0*l**3 + 1/6*l**4 - 1/2*l**5 + 8/15*l**f + 0 + 0*l**2 - 4/21*l**7 - l. Factor q(p).
-2*p**2*(p - 1)*(2*p - 1)**2
Let g(i) be the third derivative of i**7/315 - i**6/45 + 69*i**2. Determine s so that g(s) = 0.
0, 4
Let x(z) be the second derivative of 0 - 3/40*z**5 - 1/2*z**3 - 1/120*z**6 - 1/2*z**2 - 13/48*z**4 - 4*z. Factor x(u).
-(u + 1)**2*(u + 2)**2/4
Let p(u) = 5*u - 3. Let b be p(-1). Let l be (-10)/(-15) + 4/b. Factor 1/6*o**3 - 1/6*o**2 + 0 - l*o + 1/6*o**4.
o*(o - 1)*(o + 1)**2/6
Find n such that 5*n**2 - 3*n**2 - 4*n - 2*n + 2*n = 0.
0, 2
Let g be 1/(9/(-6) + 2). Let n be 3/3*g*1. Find w, given that 9 - 3*w + 3*w**3 + 3*w**n + 0*w**3 - 3*w**4 - 9 = 0.
-1, 0, 1
Let -14*j**4 + j**3 + 15*j**4 - 2*j**2 + 2*j**2 = 0. Calculate j.
-1, 0
Let k(h) = h**2 - 4. Let r be k(3). Let l(d) be the third derivative of 0*d + 1/105*d**r + 0 - 1/84*d**4 + 0*d**3 - 2*d**2 - 1/420*d**6. What is v in l(v) = 0?
0, 1
Let h(v) be the second derivative of -v**6/30 + v**5/10 + v**4/12 - v**3/3 + v. Suppose h(i) = 0. Calculate i.
-1, 0, 1, 2
Let g(x) be the second derivative of x**6/10 - 3*x**5/10 + x**4/4 + 11*x. Factor g(u).
3*u**2*(u - 1)**2
Let k(u) be the first derivative of -2*u**6/3 + 8*u**5/5 + u**4 - 8*u**3/3 + 14. Solve k(o) = 0.
-1, 0, 1, 2
Factor -4*w**4 - 3*w + 14*w**3 - 36*w**2 + 0*w + 22*w**2 + 7*w.
-2*w*(w - 2)*(w - 1)*(2*w - 1)
Suppose -27 = -4*h - 7. Let f(y) be the first derivative of 2/3*y**3 + 0*y**2 - 2/5*y**h + 0*y + 2 + 0*y**4. Factor f(g).
-2*g**2*(g - 1)*(g + 1)
Let k = -18 - -21. Let z(a) be the first derivative of 0*a + 2/9*a**3 - 2/15*a**5 - k + 1/3*a**4 - 2/3*a**2. Factor z(s).
-2*s*(s - 2)*(s - 1)*(s + 1)/3
Suppose 2*b - 6*b + 4*x = -4, 3*b - x = 1. Solve b + 40*f + 5*f + 19*f - 100*f**3 - 16 - 20*f**2 = 0.
-1, 2/5
Let m(r) be the first derivative of 1 + 1/18*r**3 - 1/60*r**5 - r + 0*r**2 - 1/36*r**4 + 1/90*r**6. Let j(c) be the first derivative of m(c). Factor j(u).
u*(u - 1)**2*(u + 1)/3
Factor 379*h - 373*h - 6*h**2 - 3 + 1 + 2*h**3.
2*(h - 1)**3
Let q be -2 - 2/(-6) - -2. Let t be (1/(-1))/((-3)/18*2). Let 0 + 1/3*a**2 - 1/3*a + 1/3*a**t - q*a**4 = 0. Calculate a.
-1, 0, 1
Let d(c) be the first derivative of -9*c**5/20 + 9*c**4/8 + c**3/3 - c**2 + 12. Determine b, given that d(b) = 0.
-2/3, 0, 2/3, 2
Let o(z) be the first derivative of -1/8*z**2 + 0*z**5 - 3 + 0*z + 0*z**3 + 1/8*z**4 - 1/24*z**6. Determine h so that o(h) = 0.
-1, 0, 1
Let o = 3/136 - -937/680. Let x = 2348/5 - 468. Factor -18/5*k**2 - x + o*k**3 + 4*k - 1/5*k**4.
-(k - 2)**3*(k - 1)/5
Let r be -4 - (5 + 330/(-36)). Factor 1/3 + 1/2*c + r*c**2.
(c + 1)*(c + 2)/6
Let x = -87 - -785/9. Factor x*q**2 + 0*q - 2/9*q**3 - 2/9*q**4 + 2/9*q**5 + 0.
2*q**2*(q - 1)**2*(q + 1)/9
Let o(a) = -15*a**2 - 37*a. Let p(i) = -5*i**2 - 12*i. Let t(b) = 3*o(b) - 8*p(b). Factor t(k).
-5*k*(k + 3)
Let r be (2/(-9))/((-168)/189). Solve -1/2 + 7*i**3 - r*i + 29/4*i**2 = 0 for i.
-1, -2/7, 1/4
Suppose -5*u = -6*u + 3. Find j, given that -j**u + 0*j + 7*j**2 + 4*j - 3*j + 1 - 8*j**2 = 0.
-1, 1
Let t(b) be the first derivative of -3 + 0*b**5 + 3/2*b**2 + 0*b + 3/2*b**4 - 1/6*b**6 - 8/3*b**3. Factor t(x).
-x*(x - 1)**3*(x + 3)
Let q(y) be the second derivative of 1/3*y**3 + 0*y**2 - 1/21*y**7 - y + 0*y**5 + 1/3*y**4 - 2/15*y**6 + 0. Let q(v) = 0. What is v?
-1, 0, 1
Let b(u) be the second derivative of -2*u + 0*u**3 + 1/18*u**4 + 0*u**2 - 1/45*u**6 + 0*u**5 + 0. Factor b(w).
-2*w**2*(w - 1)*(w + 1)/3
Let t(f) be the first derivative of f**5/10 + f**4 + 7*f**3/2 + 11*f**2/2 + 4*f + 53. Factor t(h).
(h + 1)**2*(h + 2)*(h + 4)/2
Let j be 1*24/6*2/4. Let c(b) be the first derivative of 0*b + 0*b**j + 0*b**3 + 3 - 1/6*b**4. Find k, given that c(k) = 0.
0
Let f be 170/75 - 12/20. Solve 1/3*p**3 + 4/3*p**2 + 2/3 + f*p = 0.
-2, -1
Let z(t) = t**2 - 1. Let n(y) = 2*y**3 + 3*y**2 + 2*y + 2. Let x be n(-2). Let c(i) = 2*i**2 + 2*i - 3. Let f(b) = x*z(b) + 2*c(b). Factor f(a).
-2*a*(a - 2)
Let b(s) be the third derivative of -s**5/120 + s**4/48 + s**3/6 - 2*s**2. Find h such that b(h) = 0.
-1, 2
Let a(x) be the third derivative of -x**8/672 + x**7/90 - 23*x**6/720 + 2*x**5/45 - x**4/36 - 23*x**2. Let a(c) = 0. What is c?
0, 2/3, 1, 2
Let i(k) be the third derivative of -k**5/15 + k**4/6 + 4*k**3/3 - 10*k**2. Factor i(w).
-4*(w - 2)*(w + 1)
Let u(a) be the first derivative of a**3/9 - a**2/2 + 2*a/3 + 3. Solve u(t) = 0 for t.
1, 2
Let b be (-1)/(-2)*(-4 + 8). Suppose 3 - 11 = -b*h. Factor -n**3 + n**h + 3*n**3 - n**2 + 2*n**2.
n**2*(n + 1)**2
Suppose 2*w - 5 - 1 = 0. Let l be (-1)/(w/(-12)) + -2. Suppose 1/4*j**4 - 1/4*j**5 - 1/4*j - 1/2*j**l + 1/4 + 1/2*j**3 = 0. Calculate j.
-1, 1
Let l(a) = 9*a**4 - 17*a**3 + 8*a**2 + 5*a - 5. Let x(m) = 4*m**4 - 8*m**3 + 4*m**2 + 2*m - 2. Let c(v) = -2*l(v) + 5*x(v). Let c(z) = 0. Calculate z.
0, 1, 2
Let b(v) be the third derivative of -5*v**2 + 1/315*v**7 + 1/90*v**6 + 0*v**3 + 0*v**4 + 1/90*v**5 + 0*v + 0. Factor b(k).
2*k**2*(k + 1)**2/3
Let o(i) be the third derivative of 25*i**8/84 + i**7/42 - 23*i**6/40 - 8*i**5/15 - i**4/6 - 4*i**2. Find g such that o(g) = 0.
-2/5, -1/4, 0, 1
Suppose 1 = l + 4, -3*f - 4*l = 6. Let b(u) be the second derivative of -1/12*u**4 + 0 + 0*u**f + 1/42*u**7 - u - 1/10*u**6 + 3/20*u**5 + 0*u**3. Factor b(o).
o**2*(o - 1)**3
Let x be (2/(-7))/((-20)/35). Find d, given that -3*d**2 - x*d**4 + 2*d**3 + 2*d - 1/2 = 0.
1
Let z(t) be the second derivative of t**6/2 + t**5/4 - 5*t**4/6 + 13*t. Factor z(s).
5*s**2*(s + 1)*(3*s - 2)
Let m be 21/15 + (-3)/(-5). Factor m*g + 0*g + 3*g**2 + 6*g**2.
g*(9*g + 2)
Find l such that 8*l**3 - 8*l**2 + 13*l**3 + 4*l**5 - 16*l**4 - l**3 = 0.
0, 1, 2
Let u be (6 - 0) + (-3 - -4) + -5. Let -1/2*p - 1/4*p**u + 0 = 0. Calculate p.
-2, 0
Let m(c) = -10*c**2 + 2*c + 1. Let v be m(-1). Let h be 1/(v/4 - -3). Factor -2*n**h + 2*n**2 - 2*n + 3*n + 2*n**3 - 3*n.
-2*n*(n - 1)**2*(n + 1)
Let n(g) be the first derivative of -1/10*g**6 - 3/20*g**4 + 0*g**2 + 0*g**3 + 0*g + 6/25*g**5 + 2. Find m such that n(m) = 0.
0, 1
Let d(b) be the second derivative of -3*b**5/10 - 3*b**4/4 + 3*b**2/2 - 12*b. Factor d(y).
-3*(y + 1)**2*(2*y - 1)
Factor 0*m + 0*m**3 - 12/7*m**2 + 0 + 3/7*m**5 + 9/7*m**4.
3*m**2*(m - 1)*(m + 2)**2/7
Let b(z) be the third derivative of -z**8/84 - 2*z**7/105 + z**6/30 + z**5/15 - 9*z**2. Factor b(y).
-4*y**2*(y - 1)*(y + 1)**2
Suppose -3*s - b - 4*b - 25 = 0, -4*s + 3*b = -15. Factor -2/7*n**4 + s*n + 4/7*n**2 + 0*n**3 - 2/7.
-2*(n - 1)**2*(n + 1)**2/7
Let u(x) be the first derivative of x**5/20 - 3*x**4/16 + x**3/6 - 22. Suppose u(c) = 0. Calculate c.
0, 1, 2
Let q(m) be the second derivative of 8*m**5/25 + 12*m**4/5 + 11*m**3/5 + 4*m**2/5 - 7*m. Solve q(z) = 0 for z.
-4, -1/4
Let b be (-3)/7*(-47 - 8). Let d = b - 23. Factor d*f + 0 + 2/7*f**2.
2*f*(f + 2)/7
Let s = 2695 - 67366/25. Let q(g) be the first derivative of 3/4*