*(y - 1)*(y + 2)/9
Let o be (32/(-352))/(-2 + 19/11). Find s such that -2*s**3 + 4/3*s**2 - 1/3*s**5 - o*s + 4/3*s**4 + 0 = 0.
0, 1
Factor -1/11*x**2 + 1/11*x + 2/11.
-(x - 2)*(x + 1)/11
Let d = 1668/427 - 3/61. Let l = d - 74/21. Factor -l*n**3 + 1/3*n + 1/3*n**2 - 1/3.
-(n - 1)**2*(n + 1)/3
Factor 28/9*q**2 + 16/9*q - 4/9*q**4 + 0 + 8/9*q**3.
-4*q*(q - 4)*(q + 1)**2/9
Factor -6/7*k**2 + 0*k + 0 + 6/7*k**4 + 16/7*k**3.
2*k**2*(k + 3)*(3*k - 1)/7
Factor 15*w**2 - 30*w**3 + 19 + 5*w**4 + 50*w**2 + 1 - 60*w.
5*(w - 2)**2*(w - 1)**2
Let x be (0 - 1)/(4 + -5). Let b be (x/(-3))/((-1)/6). Find w, given that 3*w**b - 5*w**2 + 0*w**3 - 2*w**3 = 0.
-1, 0
Let w(p) be the first derivative of 1/2*p**2 - 1/10*p**5 - 1/4*p**4 - 7 + 1/2*p + 0*p**3. Factor w(s).
-(s - 1)*(s + 1)**3/2
Let q(u) be the second derivative of u**4/60 - u**3/10 + 5*u. Factor q(l).
l*(l - 3)/5
Let j(a) be the third derivative of -a**6/1020 - a**5/510 + 5*a**2. Factor j(q).
-2*q**2*(q + 1)/17
Let v(m) be the first derivative of -6/5*m**5 + 4/3*m**3 + 4*m**2 - 2*m**4 + 2 + 2*m. Let v(p) = 0. Calculate p.
-1, -1/3, 1
Suppose 0*f + 0 + 1/4*f**3 + 1/2*f**4 - 1/2*f**2 - 1/4*f**5 = 0. What is f?
-1, 0, 1, 2
Factor 7*c - 18*c**2 - 7*c + 4*c.
-2*c*(9*c - 2)
Let h = 13/204 + 1/51. Let z(w) be the third derivative of -w**2 + h*w**3 - 1/120*w**5 + 0*w + 0*w**4 + 0. Suppose z(c) = 0. Calculate c.
-1, 1
Let f be 3/(6/7)*6. Let a be f/35 - (-22)/5. Suppose 0*d + 1/2*d**a + 0*d**3 + 0 - 1/2*d**4 + 0*d**2 = 0. What is d?
0, 1
Let h be (-3 - 2) + (-1)/1. Let y(k) = k**2 + 5*k - 2. Let a be y(h). Factor -3*z**2 + 3*z**a + z**3 + z - 4*z + 3*z**3 - z**3.
3*z*(z - 1)*(z + 1)**2
Let g(t) be the first derivative of -t**6/33 + 6*t**5/55 - t**4/11 + 20. Factor g(j).
-2*j**3*(j - 2)*(j - 1)/11
Factor 39/4*u**3 - 36*u**2 + 27*u + 0 - 3/4*u**4.
-3*u*(u - 6)**2*(u - 1)/4
Find d such that d**5 - 7*d**2 - 2 - 4*d**3 + 5*d + 9*d**2 - 2*d = 0.
-2, -1, 1
Suppose 0 = w + 1 - 5. Let i = 6 - w. Determine t, given that -2*t**i - t + 0*t**2 - t = 0.
-1, 0
Factor 2/7 - 2/7*x**2 - 2/7*x + 2/7*x**3.
2*(x - 1)**2*(x + 1)/7
Let z(b) = b**2 - b - 1. Suppose -2*j + 2 = -4*j. Let m(a) = 3*a**2 + 17*a + 17. Let k(g) = j*z(g) - m(g). Factor k(p).
-4*(p + 2)**2
Let u(o) be the first derivative of -9*o**7/70 + 3*o**6/20 - o**5/20 + 2*o**2 - 1. Let i(j) be the second derivative of u(j). Determine y so that i(y) = 0.
0, 1/3
Let c(p) be the third derivative of p**6/1800 - p**5/600 - p**4/60 + p**3/3 - p**2. Let y(o) be the first derivative of c(o). Factor y(s).
(s - 2)*(s + 1)/5
Let y be (-1)/2 - (-20)/24. Let z = 1/15 + 4/15. Factor -y*v + 0 + z*v**2.
v*(v - 1)/3
Factor 12*p + 17*p**5 + 12*p**5 - 6*p**4 - 2*p**3 + 12*p**2 - 7*p**3 - 26*p**5.
3*p*(p - 2)**2*(p + 1)**2
Let w(j) be the first derivative of 0*j**2 - 3 + 1/10*j**5 + 0*j + 1/12*j**6 - 1/6*j**3 - 1/8*j**4. Find o such that w(o) = 0.
-1, 0, 1
Let a(b) be the first derivative of b**5/15 - 2*b**3/3 + 4*b**2/3 - b - 11. Let a(p) = 0. What is p?
-3, 1
Let u = -219 + 219. Solve u + 16/3*h**2 + 2/3*h**4 + 8/3*h + 10/3*h**3 = 0 for h.
-2, -1, 0
Let g(w) be the first derivative of -4*w**5/5 + w**4 + 4*w**3/3 - 2*w**2 + 8. Factor g(f).
-4*f*(f - 1)**2*(f + 1)
Let o(i) be the first derivative of -4/5*i - i**2 - 2/5*i**3 + 2. Factor o(g).
-2*(g + 1)*(3*g + 2)/5
Let f(c) be the second derivative of -c**7/1260 - c**6/504 + c**5/210 + c**4/12 + 2*c. Let m(l) be the third derivative of f(l). Factor m(k).
-2*(k + 1)*(7*k - 2)/7
Let d(l) = -3*l**3 - 19*l**2 + 33*l - 1. Let a(q) = -2*q**3 - 9*q**2 + 16*q - 1. Let k(n) = 5*a(n) - 2*d(n). Solve k(s) = 0.
-3, 1/4, 1
Let r(u) be the third derivative of u**5/150 - 2*u**4/15 + 16*u**3/15 + 44*u**2. Factor r(c).
2*(c - 4)**2/5
Let w(l) = -l**3 - l**2 + l. Let m(j) = -9*j**3 - 11*j**2 + 5*j + 4. Let z(a) = -2*m(a) + 6*w(a). Solve z(h) = 0.
-1, 2/3
Let z = 29/48 + 1/16. Factor z*p**2 + 0*p**3 + 1/3*p**5 + 0 - 2/3*p**4 - 1/3*p.
p*(p - 1)**3*(p + 1)/3
Let d be (-3)/((-2)/(-2)*18/(-24)). Suppose -5*t = -4*t - 12. What is v in t*v**3 + 24*v**2 - v**4 + 0*v**4 + 16*v + 3*v**d = 0?
-2, 0
Let y(c) = c**3 + 3*c**2 - 2*c + 2. Let n(q) = -3*q**3 - 7*q**2 + 5*q - 5. Suppose 0 = -3*j + 17 + 7. Let r = -6 + j. Let g(t) = r*n(t) + 5*y(t). Factor g(l).
-l**2*(l - 1)
Let p(g) be the second derivative of 3*g**5/100 - g**4/5 + g**3/2 - 3*g**2/5 - 6*g. Determine d, given that p(d) = 0.
1, 2
Let x(v) = v**2 - v. Let c(s) = 13*s**2 - 7*s. Suppose w - 2*a + 24 = -2*w, 2*w = 3*a - 11. Let b(y) = w*x(y) + 2*c(y). Determine z so that b(z) = 0.
0, 1/4
Determine o so that 7*o**2 + 6*o**4 - 9*o**3 - 4*o - o**5 + 2*o - o**4 = 0.
0, 1, 2
Let g = -6 - -7. Let f = g + 1. Let 0 + a + 1/2*a**f = 0. What is a?
-2, 0
Let x = 2 - 2. Suppose c - 5 + 1 = x. Solve -5 + 5 - 5*v - c*v**2 + v - v**3 = 0.
-2, 0
Let y be 5 + (112/(-24) - (-1)/(-6)). Solve 0*r**2 + 0 + 1/6*r**3 - y*r = 0.
-1, 0, 1
Let s(k) be the third derivative of -k**6/120 - k**5/20 + k**4/24 + k**3/2 - 3*k**2. Let d be s(-3). What is q in -1/2*q**3 + 0 + 1/2*q + d*q**2 = 0?
-1, 0, 1
Let q(v) be the third derivative of v**7/945 - v**6/180 + v**5/90 - v**4/108 + 4*v**2. Factor q(b).
2*b*(b - 1)**3/9
Let g(z) = z**2. Let m(d) = 9*d**2 + 20*d + 15. Let j(o) = 4*g(o) - m(o). Factor j(k).
-5*(k + 1)*(k + 3)
Let c(z) be the first derivative of -z**6/15 + 4*z**5/25 - z**4/10 - 13. Factor c(j).
-2*j**3*(j - 1)**2/5
Let b(p) = -2*p**2 + 2*p. Let u be b(-2). Let c be (4/u)/(2/(-12)). Factor 2*r**2 + 2*r - c*r - 2*r - 4.
2*(r - 2)*(r + 1)
Let t(i) be the third derivative of 0*i**6 + 0 + 1/12*i**4 - 1/168*i**8 - 3*i**2 + 0*i - 2/105*i**7 + 1/15*i**5 + 0*i**3. Let t(g) = 0. What is g?
-1, 0, 1
Let g(x) = x**3 + 11*x**2 + 9*x - 10. Let s be g(-10). Let z be s/(-4)*3/(-6). Let z*q - 3*q**4 - 9/4*q**3 + 0 + 3/4*q**2 = 0. Calculate q.
-1, 0, 1/4
Suppose -7*f - 9 = -10*f. Let l(r) be the second derivative of 0*r**2 + 0*r**4 + 1/40*r**5 + 0*r**f + 0 + r. What is s in l(s) = 0?
0
Suppose 5*a + 4*d + 0*d + 20 = 0, 0 = -4*a + d - 16. Let b be a + 4 + 1 + 1. Find c such that 0*c**3 - 2/3*c**4 + 0 + 4/3*c + 2*c**b = 0.
-1, 0, 2
Let w(p) be the second derivative of 10*p**7/21 + 23*p**6/6 + 21*p**5/2 + 25*p**4/3 - 20*p**3/3 + 43*p. Factor w(f).
5*f*(f + 2)**3*(4*f - 1)
Let n be -2 + -1 - 350/(-14). Solve -8*b + 27*b**2 - n*b - 81*b**2 + 1 - 5 = 0 for b.
-1/3, -2/9
Let v(q) be the second derivative of 0 + 1/2*q**3 - 3/2*q**2 + 1/4*q**4 + 3*q - 3/20*q**5. Factor v(p).
-3*(p - 1)**2*(p + 1)
Let r(j) be the first derivative of -1 + 0*j + 1/16*j**4 + 0*j**2 - 1/6*j**3. Factor r(k).
k**2*(k - 2)/4
Let x be (-3 - -2)/(90/(-144)). Suppose 4/5 + x*g - 13/5*g**2 + 3*g**4 - 14/5*g**3 = 0. Calculate g.
-2/3, -2/5, 1
Let b(g) be the first derivative of 196*g**5/5 - 77*g**4 + 128*g**3/3 - 8*g**2 - 5. Factor b(u).
4*u*(u - 1)*(7*u - 2)**2
What is w in 3/5*w + 2/5*w**2 - 3/5*w**3 - 2/5 = 0?
-1, 2/3, 1
Let s(r) = 9*r**3 + 29*r**2 + 41*r + 11. Let w(j) = -5*j**3 - 15*j**2 - 21*j - 5. Let d(m) = -3*s(m) - 5*w(m). Factor d(u).
-2*(u + 1)**2*(u + 4)
Let a be (-48)/(-14) - 12/28. Let j(q) be the second derivative of 1/20*q**5 + 4/3*q**2 + q + 2/9*q**a - 5/18*q**4 + 0. Factor j(x).
(x - 2)**2*(3*x + 2)/3
Find w, given that 0*w**2 + 2/3*w**4 + 0*w + 1/3*w**5 + 0 + 0*w**3 = 0.
-2, 0
Determine t, given that -4/3*t + 0 - 16/3*t**3 - 22/3*t**2 + 14*t**4 = 0.
-1/3, -2/7, 0, 1
Let i(l) be the second derivative of 0 + 0*l**4 + 0*l**3 - 2*l + 1/60*l**5 + 0*l**2. Let i(j) = 0. What is j?
0
Let f = -10 - -12. Suppose -d - d + 8 = f*r, -r = -1. Suppose -2/7*j**4 + 2/7*j**2 + 0 - 2/7*j**5 + 2/7*j**d + 0*j = 0. Calculate j.
-1, 0, 1
Suppose -2 = p + 2*q - 1, 0 = 5*p - q - 17. Solve 18*f**2 + 42*f**p + 9*f**5 + 31*f**4 + 7*f**4 - 3 - 5*f**4 - 3*f = 0.
-1, 1/3
Factor -35*x**2 + 35*x**2 + 5*x - 5*x**3.
-5*x*(x - 1)*(x + 1)
Let m = 773/28 - 107/4. Factor m*s + 4/7 + 2/7*s**2.
2*(s + 1)*(s + 2)/7
Let 2/11 + 2/11*n**2 + 4/11*n = 0. What is n?
-1
Let n = -2/5 - -13/20. Suppose 3*r - 6*r = -9. Factor -1/4*b**4 + 0*b - 1/4*b**5 + 0 + n*b**r + 1/4*b**2.
-b**2*(b - 1)*(b + 1)**2/4
Let z(o) = 7*o**3 + 4*o**4 - o**3 - o**3 - 5*o**2 - 2*o**4. Let p(t) = -2*t**4 - 4*t**3 + 4*t**2. Let q(l) = 5*p(l) + 4*z(l). Factor q(r).
-2*r**4
Let d(o) be the second derivative of o**5/20 + o**4/12 - 17*o. Factor d(