t l be m(-16). Let w(r) be the second derivative of 1/6*r**3 + 0 - 4*r + 0*r**2 - 1/20*r**l + 0*r**4. Factor w(x).
-x*(x - 1)*(x + 1)
Suppose 0 + 3 = j, 0 = -5*g + 3*j + 6. Factor 14/5*s + 2*s**g - 4/5 - 2/5*s**4 - 18/5*s**2.
-2*(s - 2)*(s - 1)**3/5
Factor 2*f**4 + 0*f**4 - 2*f + f - 2*f**2 - f + 2*f**3.
2*f*(f - 1)*(f + 1)**2
Let s be (-2)/7 + (-210)/(-49). Let v(p) be the second derivative of 1/18*p**s + 0*p**2 + p + 0 + 0*p**3. Solve v(g) = 0 for g.
0
Factor -1/2*m**2 + 0 + 3/2*m.
-m*(m - 3)/2
Determine v so that -8/21*v + 0 - 2/21*v**2 = 0.
-4, 0
Let z(p) be the third derivative of 2*p**7/1155 + p**6/220 - p**5/330 - p**4/44 - p**3/33 - 12*p**2. Let z(x) = 0. What is x?
-1, -1/2, 1
Let k(i) be the first derivative of -i**4/4 + i**3/3 - i**2/2 + 1. Let r(b) = 4*b**2 - 2*b. Let h(a) = -2*k(a) + r(a). Factor h(z).
2*z**2*(z + 1)
Suppose -3*r = j - 34, -r - j + 10 = -4. Let y be (3/r)/(5/20). Find m such that 8/5 + 0*m - 2/5*m**3 - y*m**2 = 0.
-2, 1
Let f(n) be the first derivative of -1/10*n**5 - 4 + 0*n**3 + 1/12*n**6 + 0*n + 0*n**2 + 0*n**4. Solve f(i) = 0.
0, 1
Factor 2/13*c**2 + 12/13*c + 0.
2*c*(c + 6)/13
Let u(q) be the third derivative of -10*q**2 + 0*q**3 + 1/270*q**5 + 0 + 1/108*q**4 + 0*q - 1/378*q**8 + 11/945*q**7 - 1/60*q**6. Factor u(k).
-2*k*(k - 1)**3*(4*k + 1)/9
Suppose -6*f + 4 + 3*f**2 - 1/2*f**3 = 0. What is f?
2
Suppose q - 3*y - 5 = y, 0 = -5*y. Let w(g) be the first derivative of -1/3*g**4 + 0*g - 2/15*g**q + 0*g**2 + 2 - 2/9*g**3. Factor w(k).
-2*k**2*(k + 1)**2/3
Let v = 6 + -1. Suppose -v*r = -3*c + 31, 5*r = -5*c + 3*r. Find u such that 6 + 4*u**2 + 10*u + 4*u**2 - c + 2*u**3 = 0.
-2, -1
Suppose 0 - 3/4*o**4 - 3/8*o**5 + 0*o**3 + 0*o + 0*o**2 = 0. Calculate o.
-2, 0
Let p = 196/5 + -377/10. Factor -1/2*t**5 - 1/2*t**2 - p*t**4 - 3/2*t**3 + 0 + 0*t.
-t**2*(t + 1)**3/2
Let w(f) = -f. Let b(v) = -2*v + 1. Let z(o) = -b(o) + w(o). Let g be z(3). Find u such that -u**3 + 6*u + g*u + 2*u**2 - 3*u - 4*u - 2 = 0.
-1, 1, 2
Suppose 5*l - 4*l - 4 = 0. What is q in 11*q**3 - 11*q**2 - l*q**3 - 8 - 20*q - 3*q**3 - q**2 + 4*q**4 = 0?
-1, 2
Let z(x) = -x**3 - 3*x**2 + 3. Let k = 12 - 15. Let d be z(k). Factor 1/2*v**2 - 1/2*v**d - 1/2 + 1/2*v.
-(v - 1)**2*(v + 1)/2
Suppose 5*l = 2*p + 146, 3*l + 2*p - 59 - 35 = 0. Suppose 7*n - 3 + l*n**2 - n + 3*n = 0. Calculate n.
-1/2, 1/5
Suppose 5*x - 9*x + 20 = 0. Suppose -64 - 1440*l + 14923*l**3 - 21098*l**3 - 131220*l**4 - 118098*l**x - 12960*l**2 - 52145*l**3 = 0. Calculate l.
-2/9
Factor q**3 - q - 1/2 + 1/2*q**4 + 0*q**2.
(q - 1)*(q + 1)**3/2
Let w(b) be the first derivative of 1 + 2*b + 2/3*b**3 - 2*b**2. Factor w(m).
2*(m - 1)**2
Let t(x) be the third derivative of x**6/30 + 2*x**5/15 + x**4/6 + 8*x**2 + 2*x. Factor t(d).
4*d*(d + 1)**2
Let 5*z**2 - 9*z**2 + 3*z**2 + 2 + z = 0. What is z?
-1, 2
Let v(d) be the third derivative of -d**5/390 + d**4/39 - 4*d**3/39 + 3*d**2. Factor v(k).
-2*(k - 2)**2/13
Let i(a) = -2*a**5 - 16*a**4 - 2*a**3 - 6*a**2. Let m(h) = h**4 - h**3 + h**2. Let x(z) = i(z) + 6*m(z). Factor x(b).
-2*b**3*(b + 1)*(b + 4)
Suppose 3 = z + 2*i, -3*z - 5*i + i = -9. Let c(w) be the first derivative of -2/9*w**z + 0*w + 2 + 1/12*w**4 + 1/6*w**2. What is r in c(r) = 0?
0, 1
Factor -4*c**5 + 20*c**4 + 318 - 36*c**3 + 28*c**2 - 318 - 8*c.
-4*c*(c - 2)*(c - 1)**3
Factor 4/7*y + 2/7*y**2 + 2/7.
2*(y + 1)**2/7
Let b = 2/35 - -54/35. Let b*f + 3/5*f**2 - 3/5 = 0. What is f?
-3, 1/3
Let r(z) be the third derivative of 2*z**2 + 0*z**4 - 1/2*z**3 + 1/1620*z**6 + 0*z + 0*z**5 + 0. Let c(h) be the first derivative of r(h). Solve c(p) = 0.
0
Let d(v) be the third derivative of -v**8/13440 - v**7/1680 - v**6/480 - v**5/60 - 3*v**2. Let h(w) be the third derivative of d(w). Factor h(c).
-3*(c + 1)**2/2
Let g(r) = 114*r**3 - 50*r**2 + 11*r. Let q(f) = -23*f**3 + 10*f**2 - 2*f. Let t(n) = -2*g(n) - 11*q(n). Let t(a) = 0. Calculate a.
0, 2/5
Let j be (5/10)/((-1)/(-6)). Let c be ((-3)/(-6))/(j - 1). Suppose -c*d**5 - 1/4*d + 1/4 + 1/4*d**4 - 1/2*d**2 + 1/2*d**3 = 0. What is d?
-1, 1
Suppose 4*y = -4*s - 8, 0 = -4*y + 4*s - 5*s + 4. Factor -4/7*j + 2/7 + 2/7*j**y.
2*(j - 1)**2/7
Let n(b) be the second derivative of -b**8/13440 - b**7/5040 - b**4/6 - 2*b. Let q(j) be the third derivative of n(j). Factor q(z).
-z**2*(z + 1)/2
Suppose -h - 4*n - 6 = -n, 4*n + 8 = -4*h. Factor 4/5*k**2 + h*k + 0*k**3 - 2/5*k**4 - 2/5.
-2*(k - 1)**2*(k + 1)**2/5
What is z in -2/9*z**2 + 1/9*z - 1/9*z**3 + 2/9 = 0?
-2, -1, 1
Determine o so that 4/5*o**3 + 0 + 12/5*o**2 + 8/5*o = 0.
-2, -1, 0
Factor -v - 3/4 - 1/4*v**2.
-(v + 1)*(v + 3)/4
Let i be ((1/(-48))/(-1))/(63/36). Let s(r) be the third derivative of 0 + 0*r**3 + i*r**4 + 0*r + r**2 + 1/70*r**5. Factor s(m).
2*m*(3*m + 1)/7
Let z(r) be the second derivative of r**8/6720 + r**7/1260 + r**6/720 + r**4/12 - 3*r. Let l(v) be the third derivative of z(v). Factor l(k).
k*(k + 1)**2
Suppose m + 3 = -2*y, 0 = 5*m - 0*m - 5. Let v = -2 - y. Find z such that 20*z**3 - 3 + 1 + 23*z**2 + v + 5*z - 4*z = 0.
-1, -2/5, 1/4
Let x be (-65)/156 - (2 + 8/(-3)). Factor 0*h + 1/4*h**2 - x.
(h - 1)*(h + 1)/4
Let w(d) be the first derivative of d**4/4 - d**3/3 + 5. Find r such that w(r) = 0.
0, 1
Let z = 513 - 4615/9. Factor 0 - z*a + 2/9*a**2.
2*a*(a - 1)/9
Let a(j) be the first derivative of -2*j**5/15 + j**4/6 + 2*j**3/9 - j**2/3 + 44. Factor a(m).
-2*m*(m - 1)**2*(m + 1)/3
Suppose 0 = -q - 0*q + 3*q. Factor 1/2*m**2 - 1/4*m**5 + 0 - 1/2*m**4 + 1/4*m + q*m**3.
-m*(m - 1)*(m + 1)**3/4
Let s(p) be the third derivative of -p**5/180 - p**4/24 + 2*p**3/9 + 8*p**2. Factor s(u).
-(u - 1)*(u + 4)/3
Let i(g) be the third derivative of -g**7/210 + g**5/30 - g**3/6 + 8*g**2. Solve i(m) = 0 for m.
-1, 1
Let s(j) be the second derivative of -j**7/735 + 3*j**2/2 - 4*j. Let l(b) be the first derivative of s(b). Let l(g) = 0. What is g?
0
Let a(l) be the second derivative of -l**7/630 + l**6/180 - l**5/120 + 5*l**4/12 + 7*l. Let s(z) be the third derivative of a(z). Factor s(m).
-(2*m - 1)**2
Let g(f) be the second derivative of -2*f**7/21 - 4*f**6/15 + f**5/5 + 2*f**4/3 + 3*f - 12. Determine q so that g(q) = 0.
-2, -1, 0, 1
Let l(m) be the first derivative of m**7/1680 + m**6/360 + m**5/240 + 4*m**3/3 - 4. Let s(j) be the third derivative of l(j). Factor s(d).
d*(d + 1)**2/2
Let k(i) = 2*i - 10. Let n(l) = 6*l - 31. Let w(p) = 11*k(p) - 4*n(p). Let m be w(7). Factor m - 1/3*j + 1/6*j**2.
j*(j - 2)/6
Let x(c) be the second derivative of c**5/90 + 33*c - 2. Determine b, given that x(b) = 0.
0
Let y(w) = -5*w**5 - 21*w**4 + 15*w**3 + 20*w**2 - 20*w - 11. Let a(p) = -p**5 - 4*p**4 + 3*p**3 + 4*p**2 - 4*p - 2. Let h(o) = -33*a(o) + 6*y(o). Factor h(j).
3*j*(j - 1)**2*(j + 2)**2
Let v(w) be the second derivative of -w**6/50 + 9*w**5/50 - 3*w**4/5 + 4*w**3/5 + 7*w. Determine k so that v(k) = 0.
0, 2
Let t(u) be the first derivative of u**7/735 - u**6/210 - u**5/210 + u**4/42 - 2*u**2 + 5. Let j(g) be the second derivative of t(g). Factor j(b).
2*b*(b - 2)*(b - 1)*(b + 1)/7
Let k(b) = -2*b**3 + 4*b**2 - b - 1. Let m be k(5). Let d = m + 472/3. Factor -1/3*w**4 - 2*w**2 - 1/3 + 4/3*w + d*w**3.
-(w - 1)**4/3
Let c(f) be the second derivative of -3*f**5/160 + f**4/4 - 21*f**3/16 + 27*f**2/8 - f. Factor c(s).
-3*(s - 3)**2*(s - 2)/8
Let z(g) be the first derivative of g**6/2 - 3*g**4 + 2*g**3 + 9*g**2/2 - 6*g - 5. Factor z(m).
3*(m - 1)**3*(m + 1)*(m + 2)
Let j(d) be the third derivative of -d**7/350 + 3*d**6/200 - d**4/10 + 6*d**2. Solve j(i) = 0.
-1, 0, 2
Let j(h) be the first derivative of 0*h + 1/10*h**5 + 3 + 0*h**2 - 1/6*h**3 + 0*h**4. Factor j(m).
m**2*(m - 1)*(m + 1)/2
Let f = -614 - -10442/17. Factor f*g - 2/17 - 4/17*g**3 + 0*g**2 + 2/17*g**4.
2*(g - 1)**3*(g + 1)/17
Suppose d + 3 - 5 = 0. Let j be (-6)/1*d/(-6). Factor -6 - x**2 + j + 0*x + 4*x.
-(x - 2)**2
Let d(u) be the second derivative of -u**5/60 + 5*u**4/12 - 7*u**3/2 + 49*u**2/6 + 29*u. Find q such that d(q) = 0.
1, 7
Let u(x) = -4*x**2 + 64*x - 262. Let a(p) = -1. Let h(j) = 6*a(j) - u(j). Factor h(t).
4*(t - 8)**2
Let u(w) be the third derivative of w**8/2688 - w**7/1680 + 6*w**2. Factor u(f).
f**4*(f - 1)/8
Let g(d) be the first derivative of -d**6/10 + 12*d**5/25 - 3*d**4/5 - 2*d**3/5 + 3*d**2/2 - 6*d/5 + 15. Suppose g(h) =