v**6/180 - v**5/30 + 2*v**2. Let p(g) be the third derivative of t(g). Factor p(l).
-2*(l - 2)*(l - 1)
Let k be 2 + 4 - (-3)/(-1). Let q(o) be the second derivative of -2*o + 1/6*o**4 + 1/2*o**2 + 1/2*o**k + 0. Factor q(j).
(j + 1)*(2*j + 1)
Solve 2/9*f + 2/3*f**3 - 2/9*f**4 + 0 - 2/3*f**2 = 0.
0, 1
Let y(v) be the second derivative of 0 + 4/7*v**2 + 4*v - 1/42*v**4 + 0*v**3. Suppose y(r) = 0. Calculate r.
-2, 2
Let i(l) be the second derivative of l**10/211680 - l**9/52920 + l**7/8820 - l**6/5040 - 2*l**4/3 + 9*l. Let t(o) be the third derivative of i(o). Factor t(v).
v*(v - 1)**3*(v + 1)/7
Let t(d) be the first derivative of -3*d**6/4 - 9*d**5/5 - d**4/4 + 2*d**3 + 3*d**2/4 - d + 11. Let t(y) = 0. Calculate y.
-1, 1/3, 2/3
Factor -1/2*r**4 + r**2 + 0*r + 0 + 1/2*r**3.
-r**2*(r - 2)*(r + 1)/2
Let b(s) = -7*s**4 + 9*s**3 - 2*s**2 - 5*s. Let z(y) = y + 2*y**4 - 10*y**3 + 2*y**2 - 5*y**4 + 11*y**4 + 5*y. Let n(p) = 6*b(p) + 5*z(p). Factor n(j).
-2*j**2*(j - 1)**2
Let m(j) be the third derivative of j**8/1176 + 2*j**7/245 + 13*j**6/420 + 2*j**5/35 + j**4/21 + 60*j**2. Find t such that m(t) = 0.
-2, -1, 0
Let h(p) be the third derivative of 1/150*p**5 + 0*p + 1/600*p**6 + 1/120*p**4 + 0*p**3 + 3*p**2 + 0. Factor h(y).
y*(y + 1)**2/5
Let y be (-4)/10 - 4/(-10). Factor 2/7*h - 2/7*h**2 + y - 4/7*h**3.
-2*h*(h + 1)*(2*h - 1)/7
Suppose -2/3*d**2 + 20/3*d**4 + 0 + 0*d - 7/3*d**3 - 11/3*d**5 = 0. Calculate d.
-2/11, 0, 1
Let l(f) be the second derivative of 3*f**5/40 + 9*f**4/8 - 5*f**3/2 + 2*f - 34. Factor l(c).
3*c*(c - 1)*(c + 10)/2
Let h be 3*(-2)/14 + (-187)/(-420). Let x(j) be the second derivative of -3*j - h*j**4 + 0 - 2/15*j**3 - 2/5*j**2. Let x(d) = 0. Calculate d.
-2
Find y, given that -1/2 - 5/2*y**3 - 3/4*y**5 + 0*y**2 + 5/4*y + 5/2*y**4 = 0.
-2/3, 1
Let h(j) = j**3 + 4*j**2 - j - 7. Let q(d) = -3*d**3 - 8*d**2 + 3*d + 15. Let v(t) = -14*h(t) - 6*q(t). Let v(f) = 0. Calculate f.
-1, 1, 2
Let a(s) be the first derivative of -s**3/3 - s + 5. Let q(r) = 3*r**2 - 2*r - 11. Let x(f) = 5*a(f) - q(f). Find l, given that x(l) = 0.
-3/4, 1
Let g be -9 + 175/10 + (-8)/2. Factor -3/4 - 9/4*w**5 + g*w**2 - 21/2*w**3 + 33/4*w**4 + 3/4*w.
-3*(w - 1)**4*(3*w + 1)/4
Let r(z) be the second derivative of -z**5/160 + z**4/32 - z**3/16 + z**2/16 + 6*z. Let r(b) = 0. What is b?
1
Let b = -24 + 49/2. Factor 7/4*r - b + 9/4*r**2.
(r + 1)*(9*r - 2)/4
Let o(w) be the first derivative of -1/4*w**4 - 4 + 0*w**2 - 1/6*w**3 + 0*w - 1/10*w**5. Find m such that o(m) = 0.
-1, 0
Let a(k) be the third derivative of k**9/15120 - k**8/6720 - k**7/2520 + k**6/720 - k**4/8 + 2*k**2. Let l(j) be the second derivative of a(j). Factor l(r).
r*(r - 1)**2*(r + 1)
Let j(n) = n. Let d(r) = -2*r**2. Let a(x) = -d(x) - 2*j(x). Factor a(b).
2*b*(b - 1)
Let c be ((-1)/(-6))/((-20)/(-8)). Let k(w) be the third derivative of -1/25*w**5 + 0 + c*w**4 + 1/75*w**6 - 1/15*w**3 + 0*w - 1/525*w**7 - 2*w**2. Factor k(i).
-2*(i - 1)**4/5
Let g(h) be the second derivative of -h**4/18 - 8*h**3/9 - 16*h**2/3 + 30*h. Let g(l) = 0. Calculate l.
-4
Let v(o) be the first derivative of -2*o**4/9 - 2*o**3/27 - 5. Factor v(h).
-2*h**2*(4*h + 1)/9
Let p(h) = -12*h**3 - 10*h. Let q(i) be the third derivative of i**6/30 + i**4/8 - 5*i**2. Let b(m) = 3*p(m) + 10*q(m). Factor b(f).
4*f**3
Let z(g) be the second derivative of g**9/6048 + g**8/1680 - g**6/360 - g**5/240 + 5*g**3/6 + 3*g. Let x(v) be the second derivative of z(v). Factor x(f).
f*(f - 1)*(f + 1)**3/2
Suppose 0*s - s = -5. Suppose 5*x - 3 + 8 = 5*n, -s*x - n = -13. Find c such that 1/2*c**x + 1/2*c + 0 = 0.
-1, 0
Let d(l) be the third derivative of -l**7/350 + l**6/100 + l**5/100 - l**4/20 - 6*l**2. Factor d(a).
-3*a*(a - 2)*(a - 1)*(a + 1)/5
Let m be (11/165)/((-2)/6). Let h = 1/20 - m. Factor z**4 + 1/4*z - h + 9/4*z**2 + 11/4*z**3.
(z + 1)**3*(4*z - 1)/4
Solve 1/5*f**4 + 0 + 1/5*f - 1/5*f**3 - 1/5*f**2 = 0 for f.
-1, 0, 1
Suppose 4*y + 14 = -v, -2*v + 20 = -0*y - 4*y. Factor 0 - 1/3*z**4 + 1/3*z - 1/3*z**3 + 1/3*z**v.
-z*(z - 1)*(z + 1)**2/3
Suppose -5*u + 11 = -9. Suppose -6*j + j = -u*y + 115, 5*j + 40 = y. Factor 2*m**4 - m**3 - m**5 + 25*m - y*m.
-m**3*(m - 1)**2
Let h be (-78)/(-66) + 2/(-11). Let t(f) = 2*f**4 - 4*f**3 + 4*f**2 + 4*f. Let d(p) = p**3 - p**2 - p. Let u(x) = h*t(x) + 6*d(x). Find s such that u(s) = 0.
-1, 0, 1
Let a(z) be the second derivative of z**7/14 - z**6/5 - 3*z**5/10 + z**4 + z**3/2 - 3*z**2 + 10*z. Determine o, given that a(o) = 0.
-1, 1, 2
Let u(o) be the first derivative of o**3 - 3*o**2/2 - 3. Factor u(i).
3*i*(i - 1)
Suppose -1/6*a**2 + 2/3 + 2/3*a - 1/6*a**3 = 0. Calculate a.
-2, -1, 2
Let l(r) be the first derivative of -r**6/12 - r**5/5 + r**3/3 + r**2/4 - 5. Factor l(q).
-q*(q - 1)*(q + 1)**3/2
Determine f so that -1/3*f**3 + 1/3*f**2 - 1/3 + 1/3*f = 0.
-1, 1
Suppose 0 = -5*i - 0*i + 10. Solve -3*c**2 - c**3 + 4*c**3 - 2*c**3 + 2*c**i = 0.
0, 1
Suppose 896/13*u**4 + 608/13*u**3 + 512/13*u**5 + 32/13*u + 200/13*u**2 + 2/13 = 0. Calculate u.
-1/2, -1/4
Let a be 5*(1 + 2 - 4). Let c be (0/1)/(-6 - a). Suppose 0 + 3/4*n**3 + 1/2*n**2 + c*n = 0. What is n?
-2/3, 0
Let z(t) be the second derivative of -5*t**7/14 - t**6/6 + 3*t**5/4 + 5*t**4/12 - 14*t. Determine n so that z(n) = 0.
-1, -1/3, 0, 1
Let q(p) be the first derivative of -7*p**7/3 + 14*p**6/3 + 26*p**5/5 + 4*p**4/3 + p + 1. Let c(u) be the first derivative of q(u). Factor c(j).
-2*j**2*(j - 2)*(7*j + 2)**2
Let k = 55 - 52. Determine p so that 0*p**k + 1/4 + 0*p + 1/4*p**4 - 1/2*p**2 = 0.
-1, 1
Let -49/4*a**2 + 21/2*a - 9/4 = 0. What is a?
3/7
Let d(l) be the third derivative of -l**5/150 + l**4/30 - 8*l**2. Find r such that d(r) = 0.
0, 2
Let d = 5 - 3. Suppose 0 = -2*w - t - d*t + 2, 4*t = 5*w - 28. Suppose -4 - 2*n + 0*n**2 - 2*n**2 + w = 0. Calculate n.
-1, 0
Let c(k) be the first derivative of -1 + 1/2*k + 3/8*k**2 - 5/12*k**3. Solve c(i) = 0.
-2/5, 1
Let n(j) be the third derivative of -j**8/50400 + j**7/12600 + j**5/12 + 4*j**2. Let f(w) be the third derivative of n(w). Factor f(t).
-2*t*(t - 1)/5
Suppose -5*v + 9 = -6. Solve 4*c**2 - 4*c**3 + 1 + v*c - c**2 + 5*c**3 = 0 for c.
-1
Let d = 65 - 63. Let t(c) be the first derivative of 0*c - 1/3*c**d + 2 - 2/9*c**3. Factor t(x).
-2*x*(x + 1)/3
Suppose -g = b - 3*g - 2, -6 = -3*b + 3*g. Let f(x) be the second derivative of 0 + 5/6*x**3 - 1/3*x**4 - x + 1/20*x**5 - x**b. Factor f(n).
(n - 2)*(n - 1)**2
Let h = 182 + -180. Solve -2/3*x - 2/3*x**h + 0 = 0 for x.
-1, 0
Let y(m) be the first derivative of -8*m**3/9 - 5*m**2/3 - 2*m/3 - 2. Solve y(t) = 0 for t.
-1, -1/4
Let h = -25 + 25. Let c(o) be the first derivative of 21/2*o**4 + 32/3*o**3 + 18/5*o**5 + 4*o**2 + h*o + 2. Factor c(f).
2*f*(f + 1)*(3*f + 2)**2
Factor -35*v**3 - 46*v**3 - 9*v + 84*v**3 - 6*v**2.
3*v*(v - 3)*(v + 1)
Let o(k) be the third derivative of 1/300*k**6 + 0 - 1/100*k**5 - 1/30*k**4 + 0*k + 2/15*k**3 - 4*k**2 + 1/1050*k**7. Let o(j) = 0. Calculate j.
-2, 1
Let k(h) be the third derivative of -h**8/21 + 26*h**7/105 - 7*h**6/30 - 11*h**5/15 + 11*h**4/6 - 4*h**3/3 + 6*h**2. Solve k(x) = 0 for x.
-1, 1/4, 1, 2
Let b(i) be the third derivative of 0*i**3 + 0*i**4 + 0*i - 2*i**2 + 1/210*i**5 + 0. Factor b(f).
2*f**2/7
Let y = 2 + 0. Let v(i) be the third derivative of -1/40*i**5 + 0 - 1/6*i**3 - i**y + 0*i - 5/48*i**4. Factor v(s).
-(s + 1)*(3*s + 2)/2
Factor -2*v - 15*v**2 - 3*v - v - 3*v**4 - 6*v**3 - 6*v**3.
-3*v*(v + 1)**2*(v + 2)
Let i(b) be the second derivative of -b**5/80 - b**4/16 + b**2/2 - 20*b. Determine r so that i(r) = 0.
-2, 1
Factor 4/3*h + 0 - 1/3*h**2.
-h*(h - 4)/3
Let b(l) be the second derivative of 3*l**5/80 + 3*l**4/16 + 3*l**3/8 + 3*l**2/8 + 6*l. Factor b(i).
3*(i + 1)**3/4
Suppose 12*x + 0*x**3 - 2*x**3 + x**5 - 11*x = 0. What is x?
-1, 0, 1
Let v(d) be the second derivative of -d**5/4 + 5*d**4/6 + 5*d**3/6 - 5*d**2 - 18*d. Determine i so that v(i) = 0.
-1, 1, 2
Factor -8*c**4 - c**5 + 3*c**2 + 3*c**5 - 2*c**3 + 4*c**4 + c**2.
2*c**2*(c - 2)*(c - 1)*(c + 1)
Let u = -119 + 121. Let v(n) be the first derivative of 0*n + 1 - 1/20*n**4 - 2/15*n**3 - 1/10*n**u. Determine h so that v(h) = 0.
-1, 0
Let s(z) be the second derivative of -1/2*z**2 + 0 + 1/20*z**5 + 1/2*z**3 - 2*z - 1/4*z**4. Suppose s(f) = 0. Calculate f.
1
