4 - 1/4*n + 1/2*n**3 + 1/2 - 1/4*n**5 = 0. What is n?
-1, 1, 2
Factor 6*r**5 + 8*r**4 + 4*r**3 - 2*r**5 + 0*r**3.
4*r**3*(r + 1)**2
Let b(y) be the second derivative of -5*y**4/12 - 10*y**3/3 - 15*y**2/2 + 9*y. Factor b(x).
-5*(x + 1)*(x + 3)
Let x(v) be the first derivative of -v**4 + 8*v**3/3 + 6*v**2 + 2. Factor x(b).
-4*b*(b - 3)*(b + 1)
Let l(b) be the third derivative of -b**7/1260 + b**5/60 - b**4/6 - 5*b**2. Let k(a) be the second derivative of l(a). Factor k(c).
-2*(c - 1)*(c + 1)
Let o be (-9)/(-15) + -3 + (-18)/(-6). Factor 0 - o*h**2 + 6/5*h - 3/5*h**3.
-3*h*(h - 1)*(h + 2)/5
Let n = 0 - 0. Let g = n + 0. Find z such that 8/9*z + 2/9*z**3 + g + 8/9*z**2 = 0.
-2, 0
Let y(a) = -3 + 5*a - 5*a**3 - 2 + a**3 + 8*a**2 + 2*a**3. Let s(h) = -3*h**3 + 9*h**2 + 6*h - 6. Let d(r) = 5*s(r) - 6*y(r). Factor d(t).
-3*t**2*(t + 1)
Let v(z) = -2*z + 12. Let g be v(6). Let 1/2*r**4 + 0*r**2 + g*r + 0 - 1/2*r**3 = 0. Calculate r.
0, 1
Let d(b) be the first derivative of -2/7*b - 1/14*b**4 - 2/7*b**3 - 3/7*b**2 - 4. Factor d(n).
-2*(n + 1)**3/7
Let g(p) be the third derivative of p**8/224 + p**7/56 + p**6/40 + p**5/80 + 11*p**2. Let g(l) = 0. What is l?
-1, -1/2, 0
Let r(u) be the second derivative of -u**4/30 + u**2/5 - 12*u. What is j in r(j) = 0?
-1, 1
Let k(r) = -r + 9. Let n be k(9). Let l(t) be the second derivative of n*t**2 + 1/24*t**4 + 3/40*t**5 + 1/20*t**6 + 1/84*t**7 + 0 + 0*t**3 + 2*t. Factor l(c).
c**2*(c + 1)**3/2
Suppose -5*n = -10 - 5. Suppose -2*y**2 - 2 - 6 - n*y + 4*y + 7*y = 0. Calculate y.
2
Let y(l) be the second derivative of -l**4/60 - l**3/30 - l. Let y(a) = 0. What is a?
-1, 0
Factor 3/5*u**2 - 9/5 + 6/5*u.
3*(u - 1)*(u + 3)/5
Suppose -4*n + 92 = 8. Let v(q) = q**3 - 22*q**2 + 20*q + 21. Let j be v(n). Factor -9/4*x**2 + 3/4*x - 3/4*x**4 + j + 9/4*x**3.
-3*x*(x - 1)**3/4
Let s(i) be the first derivative of -i**3 + 3*i**2 - 3*i + 27. Factor s(w).
-3*(w - 1)**2
Let -6/5 - 2/5*m**2 + 8/5*m = 0. What is m?
1, 3
Factor 10/7*b - 8/7*b**2 + 2/7*b**3 - 4/7.
2*(b - 2)*(b - 1)**2/7
Let u(c) be the first derivative of 2*c**3/9 - c**2 + 4*c/3 + 9. Suppose u(b) = 0. Calculate b.
1, 2
Let u = 2 + 4. Let o(t) be the third derivative of -1/36*t**4 + 1/18*t**3 + 0*t**5 + 1/180*t**u + 0 - 1/630*t**7 + 0*t - 2*t**2. Find m such that o(m) = 0.
-1, 1
Let t(j) be the third derivative of -j**7/350 - 7*j**6/200 - 3*j**5/20 - 9*j**4/40 - 3*j**2. Factor t(f).
-3*f*(f + 1)*(f + 3)**2/5
Solve -5/3*n**3 + 4/3 + 4/3*n - 5/3*n**2 + 1/3*n**4 + 1/3*n**5 = 0 for n.
-2, -1, 1, 2
Let z(l) be the second derivative of -1/84*l**7 + 4*l + 0*l**2 + 0 + 1/30*l**6 - 1/40*l**5 + 0*l**3 + 0*l**4. Factor z(r).
-r**3*(r - 1)**2/2
Let m be (-1)/(-2*(-2)/(-16)). Let s(a) be the third derivative of 0*a - a**2 + 1/21*a**3 + 0 + 1/210*a**5 + 1/42*a**m. Factor s(v).
2*(v + 1)**2/7
Suppose -2*p + 0*p = 5*s + 5, -5 = -4*p + 5*s. Let q(n) be the first derivative of 2/3*n**3 + p*n - n**2 - 1. Factor q(u).
2*u*(u - 1)
Let p(l) be the first derivative of 0*l**2 + 4/5*l**5 + 0*l + 0*l**4 + 0*l**3 - 1. Find o, given that p(o) = 0.
0
Let h(z) be the second derivative of -z**6/180 - z**5/20 - z**4/6 - 2*z**3/9 + 4*z. Solve h(b) = 0 for b.
-2, 0
Let v(z) be the first derivative of 27*z**5/25 + 33*z**4/20 - 7*z**3/5 - 33*z**2/10 - 6*z/5 + 41. Suppose v(n) = 0. Calculate n.
-1, -2/9, 1
Let d(l) be the first derivative of -10*l**5 + 10*l**4 - 8*l**3/3 - 4. Factor d(q).
-2*q**2*(5*q - 2)**2
Let o(f) be the third derivative of -f**5/150 - 19*f**4/30 - 361*f**3/15 + 19*f**2 + f. Let o(s) = 0. What is s?
-19
Let y(o) be the first derivative of -6 + 2/15*o**5 - 1/2*o**4 + 0*o + 4/3*o**2 + 0*o**3. Suppose y(k) = 0. What is k?
-1, 0, 2
Suppose -8 = v + 3*v. Let f = v - -5. Solve -f*w**3 - w**3 - 4*w**2 + 5*w**3 + w**4 + 2*w**2 = 0.
-2, 0, 1
Let x = -49/20 - -13/4. Factor 2/5*i**4 + 0*i**2 + 0*i + 0 - x*i**3.
2*i**3*(i - 2)/5
Let q be (6/(-4))/(-3)*38. Let j = -14 + q. Factor 2/5*y + 12/5*y**3 - 8/5*y**2 + 2/5*y**j + 0 - 8/5*y**4.
2*y*(y - 1)**4/5
Let d(v) be the first derivative of 1/3*v**6 + 0*v + 2/3*v**3 - 1 - 1/2*v**4 - 2/5*v**5 + 0*v**2. Determine x so that d(x) = 0.
-1, 0, 1
Let p(j) be the second derivative of -j**5/140 - j**4/28 - j**3/21 - 10*j. Suppose p(w) = 0. Calculate w.
-2, -1, 0
Factor 0 + 0*t - 6/11*t**4 + 0*t**2 + 2/11*t**3 + 4/11*t**5.
2*t**3*(t - 1)*(2*t - 1)/11
Let x be (1/(-1))/(3/(-6)). Let p = x - 0. Solve c**3 - 2*c**3 - 2*c + p*c**2 + c = 0 for c.
0, 1
Suppose -5*y + 3*l - 105 = 0, -y + 115 = -6*y + 5*l. Let u be (-4)/9 - 12/y. Let 0 + u*p + 2/9*p**3 - 4/9*p**2 = 0. Calculate p.
0, 1
Suppose -5*c - u + 3 = -10, u = 3. Suppose 5*r = -c*j - 10, -j - 1 = -2*r - 5. Factor -2*l**4 + 0*l**2 + j*l**2 - l**5 + l + 2*l**2.
-l*(l - 1)*(l + 1)**3
Suppose 3*u + 5*i + 8 + 17 = 0, 10 = -u - 2*i. Let n(r) be the second derivative of u*r**4 + 0 - 1/20*r**5 + 1/6*r**3 - r + 0*r**2. Let n(g) = 0. Calculate g.
-1, 0, 1
Let k = 2924/209 - 252/19. Solve -54/11*r**2 - k - 48/11*r = 0 for r.
-2/3, -2/9
Determine u so that -u - 20*u**2 + 20*u**2 - 20*u**2 - 4*u = 0.
-1/4, 0
Factor 5/2*o**2 - 9/2 - 3/2*o - 1/2*o**3.
-(o - 3)**2*(o + 1)/2
Solve 6*r - 3*r**2 - 4 - 1 + 2 = 0.
1
Let d(w) = -12*w**3 - 56*w**2 - 152*w - 88. Let q(o) = -8*o**3 - 38*o**2 - 101*o - 59. Let s(y) = -5*d(y) + 8*q(y). Suppose s(k) = 0. Calculate k.
-2
Let u = 4 - 0. Let v(g) = g**2 - 3*g - 2. Let j be v(u). Suppose 5*h**2 - 4*h - j*h**2 - h**2 = 0. What is h?
0, 2
Let d(n) = n**3 + 10*n**2 + 3. Let h be d(-10). Let o be (-2)/(-3) + 4/h. Factor -4*i**5 + 12*i**3 + 2*i**5 + 2*i + 2*i**o - 8*i**4 + 4*i**5 - 10*i**2.
2*i*(i - 1)**4
Let r(i) = 8*i**2 + 18*i. Let g(x) = 3*x**2 + 7*x. Let h(k) = 12*g(k) - 5*r(k). Factor h(u).
-2*u*(2*u + 3)
Let b(n) be the second derivative of n**5/30 - n**4/6 + n**3/3 - n**2/3 + 10*n + 4. What is z in b(z) = 0?
1
Let y(w) = -w**2 - 6*w + 7. Let s = 12 - 19. Let g be y(s). Determine j, given that 0*j**2 + g*j + 0 + 2/7*j**3 = 0.
0
Determine t, given that -1/2*t**4 + 1/3*t**3 + 1/6 + 1/6*t**5 - 1/2*t + 1/3*t**2 = 0.
-1, 1
Let t(z) = -5*z**2 + 12*z + 42. Let q(b) = -9*b**2 + 24*b + 83. Let i(c) = 6*q(c) - 11*t(c). Let i(m) = 0. Calculate m.
-6
Suppose 3*c**2 - 8*c**2 - 15*c**4 + 15*c**3 + 3*c**5 + 2*c**5 = 0. What is c?
0, 1
Let m = 49 + -587/12. Let g(j) be the first derivative of 0*j**3 + 0*j**2 + 2 + 0*j**5 - 1/18*j**6 + 0*j + m*j**4. Factor g(f).
-f**3*(f - 1)*(f + 1)/3
Suppose 2*w - 6 = -2*h, 4*w = h + 2*h + 12. Let y(k) be the third derivative of -1/90*k**5 + 2*k**2 + 0*k + 0 + 0*k**3 - 1/180*k**6 + h*k**4. Factor y(x).
-2*x**2*(x + 1)/3
Let m(g) be the second derivative of -g**6/30 + g**4/6 - g**2/2 - 9*g. Factor m(u).
-(u - 1)**2*(u + 1)**2
Suppose 3*u + 0 = 15. What is w in 3 - 3*w + u*w**2 + 3 - 5 - 3 = 0?
-2/5, 1
Suppose 3*t = 7*t - 8. Suppose 0 = -t*p + 3*w + 3, -5*p = -7*w + 3*w - 4. Factor -1/2*a**4 + a**2 + 0 + p*a - 1/2*a**3.
-a**2*(a - 1)*(a + 2)/2
Let a be (-7)/(-2) + (-12)/(-24). Let p be (-2)/(-10) - a/20. What is q in 0*q + p + 0*q**2 + 1/4*q**4 - 1/4*q**3 = 0?
0, 1
Let q be (1/2)/((-70)/(-210)). Suppose 3/4*v + 3/4*v**3 + 0 + q*v**2 = 0. Calculate v.
-1, 0
Suppose 3*j = -2*k + 7 + 4, -3*j + 9 = 0. Suppose -4*h - 3*q - 7 = 0, -22 = -h + 3*q + q. Factor b**2 - k + 0*b**2 + 0*b**h + 0*b**2.
(b - 1)*(b + 1)
Let i(h) be the second derivative of -h**5/30 - 5*h**4/9 - h**3 - 23*h. Factor i(k).
-2*k*(k + 1)*(k + 9)/3
Let w be 5 + (8/2)/1 + -5. Factor 1/4*o**w + 1/4*o**5 - 1/4*o**2 + 0*o + 0 - 1/4*o**3.
o**2*(o - 1)*(o + 1)**2/4
Let s(x) be the third derivative of -x**5/24 + 13*x**4/48 + x**3/2 + x**2. Factor s(b).
-(b - 3)*(5*b + 2)/2
Let a(s) be the first derivative of -4*s**5/35 + 2*s**4/7 - 4*s**3/21 + 38. Factor a(y).
-4*y**2*(y - 1)**2/7
Factor -24*o + 66*o**2 + 24/11.
6*(11*o - 2)**2/11
Let y(i) be the first derivative of 0*i + 7/12*i**4 + 2/9*i**3 - 1/6*i**2 + 4/15*i**5 - 1. Solve y(k) = 0 for k.
-1, 0, 1/4
Let z = -36 + 36. Let p(m) be the second derivative of 0*m**2 + 0*m**3 - 3*m + 0*m**4 + 0*m**5 + z + 1/21*m**7 - 1/15*m**6. Factor p(g).
2*g**4*(g - 1)
Determine o so that 1/3*o**4 + 1/3*o + 1/3 - 2/3*o**3 + 1/3*o**5 - 2/3*o**2 = 0.
-1, 1
Factor 0 - 1/4*r**4 - 1/4*r**3 + 0*r + 1/4*r**2 + 1/4*r**5.
r**2*(r - 1)**2*(r + 1)/4
Let m be 1 - (-21)/24 - 1. Let s = m + -13/24. Fa