l) = l**4 + 3*l**3 - 3*l**2 - 7*l + 2. Let j(f) = 2*o(f) + 9*v(f). Factor j(c).
-(c - 4)*(c - 1)**2*(c + 1)
Let y(z) be the third derivative of 0*z**5 + 1/24*z**4 + 0*z - z**2 + 0 - 1/120*z**6 + 0*z**3. Factor y(q).
-q*(q - 1)*(q + 1)
Suppose 0 = 5*q - 0*q. Suppose 3*s = -q*s + 9. Factor -2/7*z**2 + 0*z - 4/7*z**s + 0 - 2/7*z**4.
-2*z**2*(z + 1)**2/7
Let c(r) = -r**2 - r + 4. Let p be c(2). Let d be p*(-6)/5 - 2. Determine v, given that -14/5*v**2 + d*v**3 - 18/5 + 6*v = 0.
1, 3
Let v be (8/6 - 0) + 32/48. Factor 3/2*x - 1/4*x**v - 9/4.
-(x - 3)**2/4
Let o(y) = -12*y**4 + 29*y**3 - 25*y**2 + 11*y - 3. Let k(v) = 36*v**4 - 88*v**3 + 76*v**2 - 32*v + 8. Let j(q) = 3*k(q) + 8*o(q). Factor j(c).
4*c*(c - 1)**2*(3*c - 2)
Solve 0 + 3/8*x**2 - 3/8*x**4 + 3/8*x - 3/8*x**3 = 0 for x.
-1, 0, 1
Let o(p) be the first derivative of -2 + 0*p**2 - 1/6*p**4 - 2*p - 1/3*p**3. Let z(k) be the first derivative of o(k). Find t such that z(t) = 0.
-1, 0
Let n(x) be the first derivative of -x**3/3 - 9*x**2/2 - 6*x - 11. Let z be n(-8). Factor 8/5*f**z - 14/5*f - 4/5.
2*(f - 2)*(4*f + 1)/5
Let k(c) = 2*c. Let q be k(10). Suppose -3*b - 14 = 4*p, 4*b - 4*p - q - 8 = 0. What is i in -1/3*i**5 - 2/3*i**3 + i - 1/3 - 2/3*i**b + i**4 = 0?
-1, 1
Let s be 1/2 + 4/(-8). Let j(k) be the second derivative of s*k**4 + 1/100*k**5 + 0 + 2*k - 1/30*k**3 + 0*k**2. Factor j(u).
u*(u - 1)*(u + 1)/5
Let w(r) be the first derivative of 5/2*r**4 - 8*r**3 + 9*r**2 + 5 - 4*r. Factor w(n).
2*(n - 1)**2*(5*n - 2)
Let m be (-8)/((-8)/3) - 3. Determine w so that m + 0*w + 1/4*w**2 = 0.
0
Suppose -j - 4*o + 19 = 0, -2*j - 2*o + 10 = -4. What is h in 0 - 4/9*h**2 - 2/9*h - 2/9*h**j = 0?
-1, 0
Let s(v) be the third derivative of 1/630*v**7 + 1/360*v**6 - 1/1008*v**8 + 0*v + 0*v**4 - 1/180*v**5 + v**2 + 0 + 0*v**3. Factor s(n).
-n**2*(n - 1)**2*(n + 1)/3
Factor -s**2 + 5*s**4 + 4*s**4 - 2*s**4 - 10*s**4 + 3*s**3 + s**5.
s**2*(s - 1)**3
Let h be 3/14*1272/1206. Let k = 4/67 + h. Suppose 0*o - 2/7*o**4 - k*o**3 + 0*o**2 + 0 = 0. Calculate o.
-1, 0
Let b(p) = 3*p - 11. Let o be b(5). Let z(y) be the second derivative of 5/12*y**o + 0 + 1/30*y**6 - 1/5*y**5 + 0*y**2 - 1/3*y**3 + 2*y. Factor z(t).
t*(t - 2)*(t - 1)**2
Let q(j) be the first derivative of -3/14*j**4 + 0*j - 1/14*j**6 + 0*j**3 + 0*j**2 + 9/35*j**5 - 6. Factor q(h).
-3*h**3*(h - 2)*(h - 1)/7
Let i be (-1)/(-7)*(-21 - -25). Factor 2/7 - i*z + 2/7*z**2.
2*(z - 1)**2/7
Let q(z) = z**3 + 10*z**2 - 12*z - 5. Let x = -6 - 5. Let g be q(x). Factor 3*o**5 + o**3 - g*o**2 + 6 + 0*o**5 - 6*o**5 - 9*o + 11*o**3.
-3*(o - 1)**3*(o + 1)*(o + 2)
Let 4*a + 2*a**2 + a - 4*a - 2*a - 1 = 0. Calculate a.
-1/2, 1
Let s(g) = g**2 - 11*g - 10. Let i(q) = 12*q**2. Let u be i(-1). Let o be s(u). Find n, given that -4/3*n**o - 2/3*n - 2/3*n**3 + 0 = 0.
-1, 0
Suppose 4*d + 4*p = 28, 0*p - 2*p = -5*d + 7. Suppose -5*n = -5*z - 30, 0 = d*n - z + 5*z + 10. What is h in 4/7 + 2/7*h**n + 6/7*h = 0?
-2, -1
Find n, given that 0*n + 0 + 21/2*n**4 - 27/2*n**3 + 3*n**2 = 0.
0, 2/7, 1
Let l(h) = h + 15. Let y be l(0). Let j be (2 - y/9)*1. Factor 2/3*b - 1/3*b**2 - j.
-(b - 1)**2/3
Suppose 3*j + 2*s = -3, 3*j + 2*s + 3 = 3*s. Let p(l) = -3*l**3 - l - 1. Let a be p(j). Factor 2*u**a - u**3 - u - u**2 + u**2.
u*(u - 1)*(u + 1)
Let u be ((-42)/(-49))/((-8)/(-28)). Let s(a) be the third derivative of -5*a**2 - 1/60*a**4 + 2/15*a**u + 0 - 2/75*a**5 + 1/100*a**6 + 0*a. Factor s(g).
2*(g - 1)**2*(3*g + 2)/5
Let l = 124 + -120. Let c(s) be the third derivative of 0 + 0*s - 1/28*s**l - s**2 - 1/210*s**5 - 2/21*s**3. Determine g so that c(g) = 0.
-2, -1
Let r(q) be the second derivative of -q**4/20 + q**3/5 + 9*q**2/10 + 33*q. Factor r(h).
-3*(h - 3)*(h + 1)/5
Factor 6*k**2 - 6*k**2 - 6*k - 9*k**2.
-3*k*(3*k + 2)
Let d be (-10)/(-30)*1*-3*-3. Let l(t) be the first derivative of 2/9*t**3 - d + 0*t + 0*t**2. Factor l(i).
2*i**2/3
Let o = -3 + 6. Let l = 7 - o. Factor -2*m**4 + 1 + 2*m + 2*m**5 + 6*m**2 - 3 + 3*m**2 - 5*m**2 - l*m**3.
2*(m - 1)**3*(m + 1)**2
Let o(x) be the first derivative of -x**4/28 + 3*x**3/7 - 15*x**2/14 + x + 53. Factor o(g).
-(g - 7)*(g - 1)**2/7
Let c(a) be the third derivative of -a**6/20 - 2*a**5/15 - a**4/12 - 8*a**2. Determine q, given that c(q) = 0.
-1, -1/3, 0
Suppose -7*q + 10 = -2*q. Let s be 2 + (-1 - (-4)/q). Factor 0*b**s - b**3 - b**3.
-2*b**3
Let m be -4 + (0 - -4) - -25. Let r be ((-18)/(-15))/(10/m). Factor -3/5*t**2 + 3/5*t**r - 3/5*t + 3/5*t**4 + 0.
3*t*(t - 1)*(t + 1)**2/5
Let k = 29 - 23. Let v(w) be the third derivative of 0*w - 13/120*w**k - 3/112*w**8 + 0*w**4 + 0*w**3 + 2*w**2 + 0 - 2/21*w**7 - 1/30*w**5. Factor v(c).
-c**2*(c + 1)**2*(9*c + 2)
Let y(f) be the third derivative of -f**5/150 - 7*f**4/120 - f**3/6 - 8*f**2 + 1. Factor y(l).
-(l + 1)*(2*l + 5)/5
What is s in -2/7 + 0*s**3 - 2/7*s**4 + 4/7*s**2 + 0*s = 0?
-1, 1
Determine j, given that -8/7*j**3 - 8/7*j + 2/7*j**4 + 12/7*j**2 + 2/7 = 0.
1
Let x be (-20)/6*(-11)/55. Suppose 0 + x*b - 1/3*b**2 = 0. What is b?
0, 2
Let 0*h + 2/5 - 2/5*h**2 = 0. Calculate h.
-1, 1
Suppose -2*y - 2*m - 13 = -23, 2*y = m - 5. Let 0*d**3 + 1/2*d**2 + 1/3*d + y - 1/6*d**4 = 0. What is d?
-1, 0, 2
Let l(o) be the first derivative of -2*o**5/5 - o**4 - 12. Find s such that l(s) = 0.
-2, 0
Let y be -2 + (-30)/(-9) - (-160)/240. Suppose 1/9*o**3 - 1/9*o**4 - 1/9*o - 2/9 + 1/3*o**y = 0. What is o?
-1, 1, 2
Suppose 0 = 2*i + 4*s + 9 - 27, 12 = 4*s. Factor i*d**3 + d**4 - 3*d**4 - 5*d**3.
-2*d**3*(d + 1)
Let k(d) be the third derivative of d**6/600 + 7*d**5/300 + d**4/8 + 3*d**3/10 - 20*d**2. Factor k(r).
(r + 1)*(r + 3)**2/5
Let n(c) = -3*c**3 - c**2 - 23*c - 5. Let p(r) = 2*r**3 + 2*r**2 + 22*r + 6. Let m(g) = -4*n(g) - 5*p(g). Solve m(y) = 0 for y.
-1, 5
Let s(w) be the third derivative of -w**8/5040 - w**7/2520 - w**5/15 - 5*w**2. Let h(z) be the third derivative of s(z). Suppose h(v) = 0. What is v?
-1/2, 0
Let m(b) be the first derivative of b**4/42 - 2*b**3/21 - 3*b - 7. Let w(p) be the first derivative of m(p). Solve w(s) = 0.
0, 2
Suppose f - 52 = -2*l - 8, 3*f = -l + 147. Suppose 5*m = -r + f, -2*m - 2*m = 3*r - 51. Factor o**2 + m + 0*o**2 + 4*o - 5.
(o + 2)**2
Let o(n) be the first derivative of n**5/240 - n**4/48 - 3*n**2 - 6. Let g(p) be the second derivative of o(p). Factor g(i).
i*(i - 2)/4
Let i(a) = -7*a**3 - 7*a**2 + 8*a. Let j(d) = 15*d**3 + 15*d**2 - 15*d. Let h(r) = -5*i(r) - 2*j(r). Factor h(g).
5*g*(g - 1)*(g + 2)
Let s(u) be the second derivative of -u**4/60 + u**3/15 - u**2/10 + 7*u. Determine l, given that s(l) = 0.
1
Let m = 168 + -163. Factor 14/15*l + 16/15*l**2 + 4/15*l**3 + 4/15 - 4/15*l**4 - 2/15*l**m.
-2*(l - 2)*(l + 1)**4/15
Let h(s) be the first derivative of -7*s**4/6 + 23*s**3/3 - 6*s**2 + 2*s + 1. Let u(c) be the first derivative of h(c). Suppose u(x) = 0. What is x?
2/7, 3
Let j(x) be the third derivative of -2*x**7/35 - x**6/6 - 2*x**5/15 - 37*x**2. Factor j(h).
-4*h**2*(h + 1)*(3*h + 2)
Let v(f) be the first derivative of -3 - 1/4*f**4 + 0*f**2 + 0*f + 2/3*f**3. Factor v(x).
-x**2*(x - 2)
Let p = -53/3 + 18. Let x(y) be the second derivative of 1/30*y**6 - p*y**3 + 0 + 1/10*y**5 + 0*y**4 - 1/2*y**2 + 2*y. Find v such that x(v) = 0.
-1, 1
Let a(p) = p - 3. Let o be a(-6). Let b be (-14)/(-6) - (-3)/o. Let 2/3*m**b - 2/3*m + 0 = 0. What is m?
0, 1
Let 14/5*z**5 + 0*z - 24/5*z**4 + 4/5*z**2 + 6/5*z**3 + 0 = 0. What is z?
-2/7, 0, 1
Let q = -50/7 + 157/21. What is v in 4/3*v + 1/3*v**4 + 4/3*v**3 + 2*v**2 + q = 0?
-1
Let g(y) be the second derivative of y**7/28 + 43*y**6/180 + 71*y**5/120 + 5*y**4/8 + y**3/9 - y**2/3 + 5*y. Factor g(d).
(d + 1)**3*(d + 2)*(9*d - 2)/6
Let j be 2 - (3 - 6/2). Factor 5*i**2 - 2*i**j + i - 2*i**2.
i*(i + 1)
Let l(q) be the second derivative of 3*q**6/10 + 51*q**5/20 + 31*q**4/4 + 23*q**3/2 + 9*q**2 - 28*q. Determine o, given that l(o) = 0.
-3, -1, -2/3
Let i(d) be the first derivative of d**6/18 - 2*d**5/15 + 2*d**3/9 - d**2/6 + 7. Factor i(z).
z*(z - 1)**3*(z + 1)/3
Factor 18*w**2 + 3*w**2 - 684*w**3 + 657*w**3 + 15*w**4 - 6*w - 3*w**5.
-3*w*(w - 2)*(w - 1)**3
Let q be (906/154)/3 + -2. Let s = 299/231 - q. Factor 4/3*g**3 + s*g + 1/3 + 2*g**2 + 1/3*g**4.
(g + 1)**4/3
Factor 8/3*x**3 + 0 - 10/3*x**2 - 2/3*x**4 + 4/3*x.
-2*x*(x - 2)*(x - 1