1/15*n**5 + 1/2*n**2 + 1/9*n**3 - 2/3*n. Factor t(l).
(l - 2)*(l - 1)**2*(l + 1)/3
Let r be (-3)/(-6)*6 - -1. Suppose 16 = -2*m + 6*m, -r*p - 4*m + 20 = 0. Factor -1/2*v**2 + p + 3/2*v**3 - 3/2*v - 1/2*v**4.
-(v - 2)*(v - 1)**2*(v + 1)/2
Suppose -5*z + 2*z = -4*a + 8, 4*z - 1 = 3*a. Let -11*f**2 + z*f**2 + 6*f**5 - 2*f**4 - 16*f**3 - f**2 = 0. What is f?
-1, -2/3, 0, 2
Let n(i) be the second derivative of i**5/120 - i**3/36 + 13*i. Determine u so that n(u) = 0.
-1, 0, 1
Factor 3/4*u**3 - 3/4*u + 3/2*u**2 - 3/2.
3*(u - 1)*(u + 1)*(u + 2)/4
Let z(h) be the third derivative of 7*h**5/66 - h**4/22 - 8*h**3/33 + 40*h**2. Factor z(b).
2*(5*b + 2)*(7*b - 4)/11
Let z(i) be the third derivative of -i**8/1344 - i**7/84 - i**6/12 - i**5/3 - 5*i**4/6 - 4*i**3/3 - 8*i**2. Factor z(r).
-(r + 2)**5/4
Let p(y) be the third derivative of 0*y + 0 - 1/210*y**7 + 1/36*y**5 - 1/72*y**4 - 1/9*y**3 + 1/360*y**6 - 3*y**2. Find u, given that p(u) = 0.
-1, -2/3, 1
Let 4*g - 10/3 + 16/3*g**2 = 0. What is g?
-5/4, 1/2
Let x be (-1)/(-4) - (3 - 12/4). Factor 1/4*u**3 - x*u + 0*u**2 + 0.
u*(u - 1)*(u + 1)/4
Let 6/7*b**5 + 0 + 0*b**2 - 4/7*b**4 + 8/7*b - 18/7*b**3 = 0. What is b?
-1, 0, 2/3, 2
Let c = -137/637 + 3/49. Let b = c - -19/39. Suppose -b*i**3 - 1/3*i + 2/3*i**2 + 0 = 0. Calculate i.
0, 1
Let r(h) = h**2 + h + 2. Let x(w) = w**2 + 3. Let t(s) = -3*r(s) + 2*x(s). Factor t(j).
-j*(j + 3)
Let k(m) be the third derivative of 3*m**7/350 - m**6/100 + m**5/300 - 8*m**2. Factor k(o).
o**2*(3*o - 1)**2/5
Let q(p) be the third derivative of 5*p**7/273 - 4*p**6/39 + 47*p**5/195 - 4*p**4/13 + 3*p**3/13 + p**2. Factor q(z).
2*(z - 1)**2*(5*z - 3)**2/13
Suppose -4/9*i**2 + 2/9 - 2/9*i = 0. Calculate i.
-1, 1/2
Factor -1/3*w - 1/6*w**2 + 4/3.
-(w - 2)*(w + 4)/6
Let x(i) be the third derivative of -1/15*i**4 + 0 + 0*i - 1/5*i**3 - 7*i**2 - 1/150*i**5. Determine a, given that x(a) = 0.
-3, -1
Let l(s) be the first derivative of -s**5/40 + s - 6. Let u(k) be the first derivative of l(k). Factor u(v).
-v**3/2
Let s(a) be the third derivative of a**10/15120 + a**9/22680 - a**8/3780 - a**7/2835 + a**4/12 - a**2. Let v(u) be the second derivative of s(u). Factor v(p).
2*p**2*(p - 1)*(3*p + 2)**2/9
Let j(y) = -y**2 + 13*y + 9. Let c(t) = 2*t**2 - 14*t - 10. Let g(q) = -5*c(q) - 6*j(q). Determine z, given that g(z) = 0.
-1
Let t = 5 - 1. Let m be (t/3)/((-4)/(-6)). Suppose 2*w**2 - 2*w**2 - m*w**2 = 0. Calculate w.
0
Let l(q) be the first derivative of q**7/735 - q**6/210 + q**5/210 + 3*q**2/2 + 3. Let d(v) be the second derivative of l(v). Factor d(y).
2*y**2*(y - 1)**2/7
Let m = 52 - 101/2. Factor -3/4*x - 3/4*x**4 + m*x**3 + 3/2*x**2 - 3/4*x**5 - 3/4.
-3*(x - 1)**2*(x + 1)**3/4
Let r(d) be the second derivative of -d**5/70 - d**4/14 + 4*d**2/7 + 7*d. Suppose r(i) = 0. Calculate i.
-2, 1
Suppose -2*z = -2*t + 32, -z + 6*z - 18 = -2*t. Let n = t - 9. What is l in l**3 - 2*l**3 + 2*l**n - 3*l**4 - l + 5*l**2 - 2*l**2 = 0?
-1, 0, 1/2, 1
Let f(z) be the first derivative of -5 + 2/11*z + 2/33*z**3 - 2/11*z**2. Find r, given that f(r) = 0.
1
Suppose 4*m = -m + 45. Suppose -2*z = -x + 4*x - m, -z = 4*x - 7. Determine g so that -2*g + 2*g**2 + g - z*g + 2 = 0.
1
Let k(g) = -g**2 - 5*g - 1. Let n = 0 + -4. Let x be k(n). Factor a**4 + a - 3*a + a**2 + 2*a**2 + x*a**3 + 3*a.
a*(a + 1)**3
Let q(d) be the third derivative of -d**5/75 + d**4/5 - 6*d**3/5 - 3*d**2. Factor q(x).
-4*(x - 3)**2/5
Let l be ((-483)/36)/(-7) + 20/(-16). Let p be -1*(2 + -1) + 5. Factor -l*i**3 + 1/3*i**2 + 1/3*i**p + 0 + 0*i.
i**2*(i - 1)**2/3
Let h(l) be the first derivative of -2*l**3/3 - 18*l**2 - 162*l - 17. Determine n so that h(n) = 0.
-9
Let g(a) = 8*a**5 - 13*a**4 + 8*a**3 - 3*a + 3. Let t(s) = -17*s**5 + 27*s**4 - 17*s**3 + 7*s - 7. Let v(f) = 7*g(f) + 3*t(f). Suppose v(r) = 0. What is r?
0, 1
Suppose -y + 5 = n, 4*n + 5*y - 14 = 8. Solve 6/5*b**n + 2/5*b - 2/5*b**4 + 0 - 6/5*b**2 = 0 for b.
0, 1
Factor -3*l**2 - 16 + 43*l - 17*l**2 + 5*l.
-4*(l - 2)*(5*l - 2)
Let t(w) be the third derivative of 0 + 0*w**3 + 0*w - 1/48*w**4 - 1/40*w**6 + w**2 - 1/672*w**8 - 1/30*w**5 - 1/105*w**7. Let t(n) = 0. What is n?
-1, 0
Let z(g) be the third derivative of g**8/30 + 12*g**7/175 + g**6/20 + g**5/75 - g**2. Suppose z(s) = 0. What is s?
-1/2, -2/7, 0
What is g in -4/3*g + 2/15*g**2 + 10/3 = 0?
5
Let t(s) be the first derivative of 2*s**5/35 + 3*s**4/14 + 2*s**3/21 - 3*s**2/7 - 4*s/7 - 12. Determine o so that t(o) = 0.
-2, -1, 1
Suppose -35*g - 5*g**4 - 13 + 0*g**4 - 45*g**2 - 25*g**3 + 3 = 0. Calculate g.
-2, -1
Let d(q) be the second derivative of -q**4/30 - 22*q**3/15 - 121*q**2/5 - 19*q. Factor d(c).
-2*(c + 11)**2/5
Suppose 2*h - 19 = r, -3*h = -4*r - 43 + 12. Factor -h + f**3 + 16 - 5 - 3*f.
(f - 1)**2*(f + 2)
Let g(i) = -i**3 + 2*i**2 + 3*i - 5. Let v be g(4). Let a be (-4)/(-1) - (-90)/v. Factor a + 0*h**3 - 4/5*h**2 + 0*h + 2/5*h**4.
2*(h - 1)**2*(h + 1)**2/5
Let t(f) = -2*f**2 + 4*f - 8. Let v(q) = 7 - q**2 - q**2 - 2*q**2 + 6*q**2 - 4*q. Let d(w) = -5*t(w) - 6*v(w). Factor d(j).
-2*(j - 1)**2
Suppose 4*p - 2*p - 6 = 0. Suppose -w = -p*w. What is k in 2/11 - 2/11*k**2 + w*k = 0?
-1, 1
Suppose -18*k = -15*k + 12. Let s be (-5)/k*4/10. Factor 0*m - s*m**2 + 0.
-m**2/2
Let j(c) = -8*c**4 + 2*c**3 - 10*c**2 + 10*c + 6. Let z(b) = -b**4 - b**3 + b + 1. Let n(v) = -j(v) + 6*z(v). Let n(s) = 0. Calculate s.
0, 1, 2
Let y(h) be the second derivative of 2*h**7/3 - 6*h**6/5 + 2*h**5/5 + 13*h. Find s such that y(s) = 0.
0, 2/7, 1
Let m(l) = 11*l**3 + 5*l**2 - 16*l - 6. Let g(v) = -21*v**3 - 10*v**2 + 31*v + 11. Let c(d) = -6*g(d) - 11*m(d). Factor c(j).
5*j*(j - 1)*(j + 2)
Let g(q) = -q**3 - 3*q**2 - 15*q - 7. Let r(o) = 4*o**2 + 16*o + 8. Let c(t) = 4*g(t) + 6*r(t). Find f such that c(f) = 0.
-1, 5
Let u(w) be the first derivative of -w**3/3 - w**2/2 - w + 1. Let m(d) = 2*d**4 - 4*d**3 - 2*d**2 + 2*d - 4. Let h(g) = -m(g) + 2*u(g). Factor h(b).
-2*(b - 1)**3*(b + 1)
Let h(l) be the first derivative of -2/39*l**3 + 4/13*l**2 + 4 - 6/13*l. Factor h(c).
-2*(c - 3)*(c - 1)/13
Let f(i) = i**2 - i. Let k(x) = 2*x. Let p(m) = -2*f(m) - 2*k(m). Solve p(l) = 0 for l.
-1, 0
Let k(w) be the first derivative of 1/3*w**2 - 1/9*w**3 - 7 - 1/3*w. Factor k(c).
-(c - 1)**2/3
Let y(k) = k**5 - k**4 - k**3 - k - 1. Let d(p) = -9*p**5 - p**4 + 14*p**3 + 4*p + 4. Let h(u) = -d(u) - 4*y(u). Factor h(r).
5*r**3*(r - 1)*(r + 2)
Let x(h) = h + 1. Suppose 4*b = -8 + 28. Let p be x(b). Factor -4*q**3 + 3*q - 7*q**3 - 9*q**2 + p + 8*q**3 + 3*q**4.
3*(q - 2)*(q - 1)*(q + 1)**2
Solve 0 - 2/13*j**4 + 6/13*j**3 + 0*j - 4/13*j**2 = 0 for j.
0, 1, 2
Let a(l) be the second derivative of l**5/150 - 4*l**4/45 + 16*l**3/45 + 44*l. Solve a(k) = 0.
0, 4
Let s be (-71)/(-4) - 36/48. Suppose -22*x = -s*x. What is d in 0*d + 1/2*d**4 + 0 + x*d**2 + 0*d**3 + 1/2*d**5 = 0?
-1, 0
Let -5*t**3 - 17*t**2 + 5*t + 17*t**2 = 0. Calculate t.
-1, 0, 1
Let z(t) be the second derivative of 0*t**3 + 1/21*t**7 + 1/10*t**5 - 2/15*t**6 + 0*t**2 - t + 0*t**4 + 0. Let z(n) = 0. Calculate n.
0, 1
Solve 5*f**5 - 15*f**3 + 15*f**4 - 13*f**4 + 7*f + 5*f**2 + 3*f - 7*f**4 = 0.
-1, 0, 1, 2
Let o = 2233/35550 + -2/711. Let f(v) be the second derivative of o*v**5 + v + 0*v**2 + 1/10*v**4 + 1/75*v**6 + 0 + 1/15*v**3. Factor f(i).
2*i*(i + 1)**3/5
Let k(w) = w + 14. Let h be k(-6). Let d be (-3)/1*h/(-12). Suppose 0*n**d - 2/9*n**4 + 2/9*n**3 + 0 + 0*n = 0. Calculate n.
0, 1
Let k be (-4)/10 + (-24)/(-10). Let w(y) be the first derivative of 2/3*y**3 + 0*y - 2 + 0*y**k. What is u in w(u) = 0?
0
Let v be (10/(-4))/((-6)/4). Find r, given that 1/3*r**2 + 2/3 + v*r - 5/3*r**3 - r**4 = 0.
-1, -2/3, 1
Let t(f) be the second derivative of -1/21*f**7 + 0*f**2 - 3/10*f**5 + 1/5*f**6 + 1/6*f**4 + 0 - 5*f + 0*f**3. Determine q, given that t(q) = 0.
0, 1
Find w such that 4 + 12*w + w**5 - 5*w**3 - 5*w**5 + 10*w**2 - 3*w**3 - 12*w**4 - 2*w**2 = 0.
-1, 1
Let j(m) = m**2 - m. Let f be j(1). What is s in 6 - 4 + f*s**3 + 2*s**3 - s - 4*s**2 + s**3 = 0?
-2/3, 1
Factor -1/2*v**3 - 5/2*v - 1 - 2*v**2.
-(v + 1)**2*(v + 2)/2
Let f(y) be the first derivative of -y**5/10 + y**4/4 + 2*y**3 + 7*y**2/2 + 5*y/2 - 26. Factor f(v).
-(v - 5)*(v + 1)**3/2
Factor 0 - 3/4*j**2 + 3/4*j**4 + 3/4*j**3 - 3/4*j.
3*j*(j - 1)*(j +