2*w**2*(w - 1)**2*(w + 1)
Factor -3/4*l**2 - 5/4*l + 1/2.
-(l + 2)*(3*l - 1)/4
Suppose 2*j - 3*z - 17 = 0, 0*z + 4*z = 3*j - 24. Find d such that 0*d**3 - 2*d**5 + 2 - d**j - 2*d + 3*d**4 - 4*d**2 + 4*d**3 = 0.
-1, 1
Let b(d) be the first derivative of -d**5/50 - 2*d**4/15 - 4*d**3/15 + d**2 - 5. Let k(g) be the second derivative of b(g). Factor k(c).
-2*(c + 2)*(3*c + 2)/5
Let -8/5*y**2 + 0*y + 0 - 4/5*y**3 = 0. Calculate y.
-2, 0
Let h(w) be the third derivative of -w**5/210 + 2*w**4/21 - 16*w**3/21 + 5*w**2. Factor h(n).
-2*(n - 4)**2/7
Let m(n) be the third derivative of 6*n**7/35 + n**6/5 - 8*n**5/15 - n**4 - 2*n**3/3 - 16*n**2. Factor m(l).
4*(l - 1)*(l + 1)*(3*l + 1)**2
Suppose h + 6 = -2*q, -h - 3*q - 22 = -6*h. Factor 18/7 + 12/7*p + 2/7*p**h.
2*(p + 3)**2/7
Let u = -9/20 + 93/140. Let z(o) be the second derivative of 2*o + 0*o**3 - 1/10*o**6 + u*o**7 - 1/10*o**5 + 0*o**2 + 0 + 0*o**4. Factor z(j).
j**3*(3*j - 2)*(3*j + 1)
Suppose 7*o - 3*o = n + 639, -2*n = -2*o + 312. Suppose o = 2*s + s + z, 0 = -s + 3*z + 57. Factor 30*a**2 + 8/3 + s*a**3 - 64/3*a.
2*(a + 1)*(9*a - 2)**2/3
Let u(h) be the first derivative of -h**2 - 1/2*h**4 - 1/10*h**5 - h**3 - 1/2*h + 1. Find m, given that u(m) = 0.
-1
Let a(m) = 2*m**2 - m. Let b be a(1). Determine q, given that 0 - 4*q**2 + 6*q**2 - q**2 - b = 0.
-1, 1
Let r(d) = -d**2 + 8*d - 2. Let l be r(7). Let h(m) be the third derivative of -1/150*m**l + 0*m + 0 - m**2 - 1/60*m**4 + 0*m**3. Find o, given that h(o) = 0.
-1, 0
Let o(i) be the third derivative of -i**7/1400 - i**6/600 + i**5/200 + i**4/40 + i**3/3 - 4*i**2. Let u(s) be the first derivative of o(s). Solve u(v) = 0.
-1, 1
Let s(p) = p**4 + 5*p**3 + 6*p**2 - 10*p + 1. Let h(c) = 2*c**4 + 6*c**3 + 6*c**2 - 10*c. Let k(a) = 3*h(a) - 4*s(a). Factor k(q).
2*(q - 1)**3*(q + 2)
Let t(y) be the second derivative of -1/10*y**5 - 4*y**2 - 9*y - 8/3*y**3 + 0 - 5/6*y**4. Factor t(v).
-2*(v + 1)*(v + 2)**2
Let i(a) be the first derivative of -1/2*a**4 - a**2 + 4/3*a**3 + 5 + 0*a. Determine n so that i(n) = 0.
0, 1
Suppose 2*i + 2*b - 1 = 15, -4*b = -5*i + 4. Suppose i*t = t. Find j, given that -1/4*j**3 + 0 + 1/4*j + t*j**2 = 0.
-1, 0, 1
Suppose 0 = 5*r - 3*w + 9, 3*w = -5*r + r + 9. Suppose r = 4*x - 0*x - 12. Solve 0*q + 0 + 5/4*q**4 + 2*q**x + q**2 + 1/4*q**5 = 0 for q.
-2, -1, 0
Let k(b) be the first derivative of 1/180*b**6 - b**2 - 1/36*b**4 - 1/90*b**5 + 0*b + 1/9*b**3 + 1. Let d(g) be the second derivative of k(g). Factor d(w).
2*(w - 1)**2*(w + 1)/3
Let h be -3*7/(63/(-12)). Let r(b) be the third derivative of 0*b**3 - b**2 + 0*b - 1/24*b**h + 0 + 1/60*b**5. What is l in r(l) = 0?
0, 1
Let q(f) = 5*f**2 + 2*f + 1. Let g(l) = l**2. Let r(c) = -2*g(c) + q(c). Let b be r(-1). Factor 1/2*m - 1/2*m**b + 0.
-m*(m - 1)/2
Let s(c) = c**3 - c**2 - c + 1. Let g(r) = r**4 - 3*r**3 + 6*r**2 - 3*r + 3. Let a(d) = -g(d) + 3*s(d). Let a(l) = 0. Calculate l.
0, 3
Find t, given that 6*t + 7*t + 12*t**2 - 8*t**3 - 16*t**4 - 6*t**5 - 1 + t + 5 = 0.
-1, -2/3, 1
Let g(f) be the third derivative of -f**6/120 + f**5/10 + 7*f**4/24 + 15*f**2. Factor g(d).
-d*(d - 7)*(d + 1)
Suppose 2*d**2 + 3*d**2 - 27*d**4 + d**2 - 3*d**3 - 6*d**3 = 0. What is d?
-2/3, 0, 1/3
Let l(x) be the second derivative of -x**5/40 - x**4/12 - x**3/12 - 10*x. Find s, given that l(s) = 0.
-1, 0
Let m(d) = -2*d**3 - 8*d**2 - 24*d - 16. Let u(c) = c**2. Let p(w) = -m(w) + 4*u(w). Suppose p(l) = 0. Calculate l.
-2
Suppose -38/3*g**3 - 14/3*g**4 - 50/3*g**2 - 2/3*g**5 - 32/3*g - 8/3 = 0. Calculate g.
-2, -1
Factor -24/13*y - 12/13*y**2 - 16/13 - 2/13*y**3.
-2*(y + 2)**3/13
Suppose -n**5 + 8*n + 3*n**4 + 16 - 15*n**2 + 2*n**3 - 16 + 3*n**2 = 0. Calculate n.
-2, 0, 1, 2
Let c(o) be the first derivative of -o**4/40 + 3*o**2/20 + o/5 + 20. Solve c(p) = 0 for p.
-1, 2
Let b be (-7)/(-3)*8/(-56)*-4. Determine c, given that -2/3*c - 2/3 - 2/3*c**5 + 4/3*c**2 + b*c**3 - 2/3*c**4 = 0.
-1, 1
Let z(i) be the first derivative of 2/15*i**3 - i - 1/6*i**4 - 2 - 7/50*i**5 + 0*i**2. Let p(h) be the first derivative of z(h). Factor p(u).
-2*u*(u + 1)*(7*u - 2)/5
Let b be 8/3*(5 - 17/4). Let s = 1185/13 + -91. Factor 4/13*a - s*a**b + 0.
-2*a*(a - 2)/13
Let q(y) be the second derivative of y**5/50 + y**4/30 - y**3/3 + 3*y**2/5 - 3*y. Suppose q(o) = 0. Calculate o.
-3, 1
Let l(m) be the first derivative of m**3/9 + m**2/6 - 4*m + 66. Factor l(v).
(v - 3)*(v + 4)/3
Factor m**5 - 12*m**3 + 2*m**5 - 6*m + 15*m - 6*m**4 + 6*m**2.
3*m*(m - 3)*(m - 1)*(m + 1)**2
Let b(h) be the third derivative of h**7/630 + h**6/120 + h**5/60 + h**4/72 + 5*h**2. Factor b(g).
g*(g + 1)**3/3
Factor 0*y**2 - 1/2*y**4 + 0 + 0*y - 1/4*y**3 - 1/4*y**5.
-y**3*(y + 1)**2/4
Let r(g) be the third derivative of -g**5/90 - g**4/12 - 2*g**3/9 - 13*g**2. Determine t, given that r(t) = 0.
-2, -1
Let j(g) be the third derivative of g**6/40 - 7*g**4/8 - 3*g**3 - 17*g**2. Determine z, given that j(z) = 0.
-2, -1, 3
Let o = -6 - -10. Factor g**5 + 5*g**4 - 3*g**4 + 0*g**5 - o*g**4.
g**4*(g - 2)
Let y be ((-28)/8)/7*-4. Suppose y*a = -0*a + 8. Factor 2/7*o**a + 2/7*o**5 + 0*o - 2/7*o**3 - 2/7*o**2 + 0.
2*o**2*(o - 1)*(o + 1)**2/7
Solve -3/4*v**3 + 0 - 3/4*v - 3/2*v**2 = 0 for v.
-1, 0
Let u(c) be the second derivative of -2*c**7/21 + 8*c**6/15 + c**5/5 - 4*c**4/3 - 14*c. Find x, given that u(x) = 0.
-1, 0, 1, 4
Let -2/3*c**2 - 2/3*c + 4/3 = 0. What is c?
-2, 1
Let n(t) be the third derivative of t**7/10 - t**6/20 - 7*t**5/20 + t**4/4 - 32*t**2. Let n(b) = 0. Calculate b.
-1, 0, 2/7, 1
Factor 1/6*t**4 + 1/6 + 0*t**3 + 0*t - 1/3*t**2.
(t - 1)**2*(t + 1)**2/6
Suppose -4*v + 8 = -0*v. Factor -15*i**2 + 2*i + 18*i**4 - i**v - 10*i + 6*i**3.
2*i*(i - 1)*(3*i + 2)**2
Suppose 8 = s - 7. Let z = s + -29/2. Determine f so that 3/2*f - z + 1/2*f**2 - 3/2*f**3 = 0.
-1, 1/3, 1
Let c(q) = -6*q**3 - 15*q + 20*q**2 - 4*q**4 - 4*q**2 - 1 + 2*q**4 + 5. Let o(i) = i**4 - i**2 + i. Let l(r) = -c(r) - 3*o(r). Factor l(x).
-(x - 2)**2*(x - 1)**2
Let i be (2 - 0)*(-15)/5. Let y be (-1)/i + 3/9. Factor y*q**3 - 1/2*q + 0 + 5/4*q**2 - 5/4*q**4.
-q*(q - 1)*(q + 1)*(5*q - 2)/4
Let v(r) = -4 + 6 + 6 - 17*r**2. Let o(t) = 0 + 2*t**2 + 2*t**2 - 2. Let z(u) = 9*o(u) + 2*v(u). Determine q so that z(q) = 0.
-1, 1
Suppose 9*n + 1 - 28 = 0. Factor 0 + 0*l**2 + l**n + 1/2*l**5 + 3/2*l**4 + 0*l.
l**3*(l + 1)*(l + 2)/2
Solve 12/5*w + 0*w**2 - 8/5 - 4/5*w**3 = 0 for w.
-2, 1
Let q(n) be the third derivative of -n**6/24 - n**5/12 + 5*n**4/12 - 2*n**2. Factor q(u).
-5*u*(u - 1)*(u + 2)
Let w(b) be the first derivative of b**5 - 5*b**4/2 - 5*b**3/3 + 5*b**2 - 13. Factor w(g).
5*g*(g - 2)*(g - 1)*(g + 1)
Let m(w) be the third derivative of -2*w**7/105 + w**6/20 - w**4/12 - 6*w**2. Let m(b) = 0. Calculate b.
-1/2, 0, 1
Let x(t) be the second derivative of t**4/6 - t**2 - 2*t. Factor x(l).
2*(l - 1)*(l + 1)
Let o be (24/9)/((-2)/(-3)). Let c(t) be the second derivative of t + 1/40*t**5 + 0*t**2 + 0*t**o - 1/12*t**3 + 0. Determine z, given that c(z) = 0.
-1, 0, 1
Suppose -2*p + p = h - 4, -11 = -2*h - 5*p. Factor 12*k**2 - 6*k**h + 18*k**2 - 18*k + 5 - 1 - 10*k**2.
-2*(k - 2)*(k - 1)*(3*k - 1)
Suppose 80 = 4*r + r. Suppose 2*b = -2*b + r. Suppose 2*l**2 - 3*l**2 - b*l**2 + 3*l**2 = 0. Calculate l.
0
Let f = 3 + -4. Let k(r) = -12*r**2 + 12*r + 27. Let h(q) = -q**2 + 1. Let x(t) = f*k(t) + 15*h(t). Factor x(v).
-3*(v + 2)**2
Let u(z) be the first derivative of -2*z**5/5 - 3*z**4/2 - 2*z**3/3 + 3*z**2 + 4*z + 21. Determine n so that u(n) = 0.
-2, -1, 1
Let n(b) = -b + 6. Let a be n(4). Factor a*j**4 + 13*j + j**4 - 9*j**2 - 7*j.
3*j*(j - 1)**2*(j + 2)
Let b(m) = 31*m - 2. Let f be b(2). Suppose 2*q = -3*q + f. Factor -q*x**2 - 2 - 5*x**4 - x**4 - 8*x - 8*x**3 + 4*x**4.
-2*(x + 1)**4
Let f(h) = 2*h**3 - 1 - 6*h**2 + 2*h - h - 5*h**3 - 9*h. Let a(z) = 3*z + 1 - 3*z - z**2. Let v(j) = 5*a(j) + f(j). Find t such that v(t) = 0.
-2, 1/3
Solve -8/7*o**4 + 6/7*o + 10/7*o**2 - 2/7 - 6/7*o**3 = 0.
-1, 1/4, 1
Let p(t) be the second derivative of -t**7/84 + t**5/10 + t**4/12 - t**3/4 - t**2/2 - 15*t. Suppose p(f) = 0. Calculate f.
-1, 1, 2
Suppose -q = 4*g - 3, -3*q = -4*g + 35 - 12. Let s be (-4)/18 - (-13)/18. Let 0 - s*n**3 + 0*n + 1/2*n**g = 0. Calculate n.
0, 1
Let u(x) be the second derivative of 1/3*x**3 + 0