 2*a**2 - 5/3*a + 0.
-a*(a - 5)*(a - 1)/3
Let n(z) = 11*z**3 - 9*z**2 + 14. Let l(k) = k**3 + k**2 - 1. Let x(s) = 6*l(s) - n(s). Find r such that x(r) = 0.
-1, 2
Let w(k) be the third derivative of 3*k**2 - 3/112*k**8 + 0*k + 2*k**3 - 11/20*k**5 + 3/40*k**6 + 0 + 1/10*k**7 + 0*k**4. Solve w(o) = 0 for o.
-1, -2/3, 1, 2
Let n(r) be the first derivative of 3*r**4/4 + 21*r**3 + 27*r**2 - 120*r + 44. Factor n(f).
3*(f - 1)*(f + 2)*(f + 20)
Solve 10/9*c**4 + 8/3*c**2 + 0*c + 0 - 28/9*c**3 - 1/9*c**5 = 0.
0, 2, 6
Let c(n) be the first derivative of 0*n**2 + 64/7*n + 1/14*n**4 - 4/7*n**3 - 23. Suppose c(h) = 0. Calculate h.
-2, 4
Let a(o) be the third derivative of 1/600*o**5 + 0*o + 0 + 0*o**3 - 27*o**2 + 1/120*o**4. Find d such that a(d) = 0.
-2, 0
Suppose -6*k + 2*k - 7 = -u, 2*k + 2 = 0. Factor -2/7*l**5 + 4/7*l**u + 0*l**2 + 0*l**4 + 0 - 2/7*l.
-2*l*(l - 1)**2*(l + 1)**2/7
Factor -3/7*a**3 - 33/7*a - 27/7*a**2 + 9.
-3*(a - 1)*(a + 3)*(a + 7)/7
Suppose -15*x**3 + 0*x + 6*x**2 + 0 - 3/2*x**4 + 15/4*x**5 = 0. What is x?
-2, 0, 2/5, 2
Let h = 17 - 2. Solve 7*y**2 - y**3 - 2*y - 31 + h - 6*y = 0.
-1, 4
Let m(d) be the third derivative of 35*d**8/32 - 109*d**7/20 + 891*d**6/80 - 97*d**5/8 + 31*d**4/4 - 3*d**3 + 63*d**2. Find u, given that m(u) = 0.
2/7, 2/5, 3/7, 1
Suppose 100/13 - 18/13*q**3 - 2/13*q**4 - 2*q**2 + 90/13*q = 0. Calculate q.
-5, -1, 2
Suppose 0 = -3*x + 2*o - 10 - 1, -5*o = 5*x + 10. Let z be (-4)/x + 154/(-165) + 0. Solve -4/5 + z*f**2 - 2/5*f = 0.
-1, 2
Let s(g) be the third derivative of g**8/1344 + 3*g**7/280 + 29*g**6/480 + 13*g**5/80 + 3*g**4/16 - 611*g**2. Let s(y) = 0. What is y?
-3, -2, -1, 0
Let k(l) be the third derivative of -l**6/60 + 201*l**5/10 - 40401*l**4/4 + 2706867*l**3 - 2*l**2 - 430. Factor k(q).
-2*(q - 201)**3
Let y(f) be the second derivative of -f**6/150 + 3*f**5/10 - 193*f**4/60 - 16*f**3 - 128*f**2/5 + 5*f - 6. Determine g, given that y(g) = 0.
-1, 16
Factor -28*t**2 + 16*t**2 + 15*t**2 + 87*t + 84.
3*(t + 1)*(t + 28)
Let g = 36 + -33. Find k, given that -20*k**2 - 15*k**g + 8*k**4 - 7*k - 2*k**5 + 15*k + 16 + 13*k**3 = 0.
-1, 2
Suppose -9*n + 13*n = 5*q - 38, -5*q - 2*n - 4 = 0. Factor 2/9*a**q + 4/9*a**3 - 4/9*a + 0 - 2/9*a**4.
-2*a*(a - 2)*(a - 1)*(a + 1)/9
Let b(l) be the second derivative of l**7/63 - 2*l**6/45 - 7*l - 11. Factor b(s).
2*s**4*(s - 2)/3
Determine f, given that 27/2*f - 128*f**5 - 112*f**4 + 234*f**3 - 405/4*f**2 + 0 = 0.
-2, 0, 3/8
Factor -6*h**2 - 13*h**3 - 43 + 39 + 14*h**3 + 9*h.
(h - 4)*(h - 1)**2
Let h(c) = 2*c + 10. Let n be h(-4). Determine m, given that 2*m**4 + 4*m**3 - 25*m + 21*m - m**4 + n - 3*m**4 = 0.
-1, 1
Factor -8/9 - 2/9*g + 8/9*g**2 + 2/9*g**3.
2*(g - 1)*(g + 1)*(g + 4)/9
Let s(r) be the first derivative of 0*r + 7 + 0*r**3 - 4/25*r**5 + 0*r**4 + 0*r**2. Factor s(u).
-4*u**4/5
Suppose -5*y = -2*y - 18. Let a(d) = 2*d**2 - 8*d + 5. Let w be a(4). Factor y*n + w + 3*n**2 - 5*n + 5*n - 2.
3*(n + 1)**2
Let z(a) = -6*a**3 + a**2 + 2*a + 15. Let i(l) = -48*l**3 + 9*l**2 + 15*l + 123. Let d(b) = -4*i(b) + 33*z(b). Factor d(r).
-3*(r - 1)*(r + 1)*(2*r + 1)
Let p(w) be the first derivative of 3*w**4/8 - 31*w**3/2 - 51*w**2/2 + 96*w + 584. Factor p(u).
3*(u - 32)*(u - 1)*(u + 2)/2
Suppose 60 = -48*q + 54*q. Let v(r) be the second derivative of 0 + 1/3*r**2 - q*r + 1/15*r**5 + 13/36*r**4 + 11/18*r**3. What is x in v(x) = 0?
-2, -1, -1/4
Let t = -252 - -252. Let x(w) be the first derivative of -1/18*w**6 + 2/9*w**3 + 1/6*w**2 + t*w - 2/15*w**5 - 1 + 0*w**4. Factor x(c).
-c*(c - 1)*(c + 1)**3/3
Let p = 448 - 448. Let s(a) be the first derivative of p*a + 2/15*a**3 + 3/5*a**2 - 10. Let s(i) = 0. What is i?
-3, 0
Let x(p) be the first derivative of p**5/120 - 5*p**4/48 + p**3/3 - 5*p**2/2 + 8. Let c(g) be the second derivative of x(g). Solve c(i) = 0.
1, 4
What is x in x**2 - 149*x**3 + 2*x**2 + 3*x**2 + 71*x**3 + 37*x + 30 + 77*x**3 = 0?
-3, -1, 10
Let p(v) be the second derivative of -16*v + 5/2*v**2 + 15/8*v**4 + 0 + 5/8*v**5 + 1/12*v**6 + 35/12*v**3. Factor p(x).
5*(x + 1)**3*(x + 2)/2
Let w(n) be the first derivative of -n**4/2 + 8*n**3/3 + 15*n**2 - 36*n - 84. Let w(t) = 0. What is t?
-3, 1, 6
What is h in -h**2 - h + 3*h - 7*h - 16 - 5*h = 0?
-8, -2
Let k(t) be the third derivative of -2*t**2 + t**4 + 4/3*t**3 + 1/6*t**5 + 0 + 0*t. Factor k(j).
2*(j + 2)*(5*j + 2)
Determine u, given that -34*u**4 - 3*u**2 + 35*u**4 - 228*u**3 - 17*u - 10 + 233*u**3 = 0.
-5, -1, 2
Let f(h) = 8*h**2 + 32*h - 54. Let d(a) = -2*a**2 - 1. Let r(l) = 6*d(l) + f(l). Factor r(u).
-4*(u - 5)*(u - 3)
Let n = 112 + -101. Suppose 4*r - n = 13*a - 12*a, r + 4 = -2*a. Factor 6/5*s**r - 8/5 + 8/5*s.
2*(s + 2)*(3*s - 2)/5
Let p(v) be the first derivative of 0*v + 0*v**3 + 5 - 1/180*v**5 - 1/72*v**4 - 5/2*v**2. Let f(t) be the second derivative of p(t). Factor f(g).
-g*(g + 1)/3
Let u be ((-5)/(-14))/(46/161) + -1. Factor -c**5 + 7/4*c**4 + 0 - u*c**2 - 1/2*c**3 + 0*c.
-c**2*(c - 1)**2*(4*c + 1)/4
Let k(d) be the second derivative of -d**4/60 - d**3/30 + 12*d + 2. Determine i, given that k(i) = 0.
-1, 0
Let t = -406 + 817/2. Factor -2 - 1/2*w**3 - 4*w - t*w**2.
-(w + 1)*(w + 2)**2/2
Let w(b) = b**3 + b**2. Let j(r) = -40*r**3 + 170*r**2 + 380*r - 180. Let x(f) = j(f) + 15*w(f). Factor x(d).
-5*(d - 9)*(d + 2)*(5*d - 2)
Suppose s - 21 = 5*l, -4*s = -2*s + l - 9. Let m(t) = -t**2 + 7*t - 4. Let w be m(s). Factor -9*y + 2*y - w*y + 4 + 4*y**2 + y.
4*(y - 1)**2
Let z(a) = -a**2 + 38. Let b be z(-6). Factor 3*x**2 - 4*x + 2*x**4 + 4*x**b - 6*x**3 + 2*x**5 + 12*x**2 - 29*x**2.
2*x*(x - 2)*(x + 1)**3
Let f = 24855/4 + -6213. Factor -3/4*k**3 + f*k**2 + 3/4*k - 3/4.
-3*(k - 1)**2*(k + 1)/4
Suppose -10*u + 321 = 241. Let r(a) be the third derivative of -1/24*a**4 - 1/30*a**5 + 1/6*a**3 + 0*a + 0 - u*a**2. Factor r(k).
-(k + 1)*(2*k - 1)
Let 6/5*t**3 + 0*t + 0*t**2 + 0 = 0. Calculate t.
0
Factor -n**4 - 2*n**3 - 110*n + 59*n - 12*n**2 + 16 + 59*n + n**4 + 2*n**4.
2*(n - 2)**2*(n + 1)*(n + 2)
Let j(m) be the second derivative of m**6/165 - 3*m**5/110 - m**4/11 + 8*m**3/33 + 2*m + 27. Suppose j(g) = 0. What is g?
-2, 0, 1, 4
Let h(v) be the second derivative of v**5/130 - 5*v**4/26 + 9*v**3/13 - v**2 - 62*v. Factor h(n).
2*(n - 13)*(n - 1)**2/13
Let v(w) = 5*w**2 - 7*w - 3. Let m(z) = 58*z**2 + 2*z - 4 - 59*z**2 + 5. Suppose 5*y - 13 = 7. Let l(p) = y*v(p) + 18*m(p). Let l(k) = 0. Calculate k.
-3, -1
Let d(y) = -385*y + 1161. Let o be d(3). Factor -4/3*k**2 + 1/3*k**3 + o - k.
(k - 3)**2*(k + 2)/3
Let q(h) = h**3 + 2*h**2 - h + 4. Let i be q(0). Let t(v) be the first derivative of 2/3*v**3 - i*v + v**2 - 1. Factor t(x).
2*(x - 1)*(x + 2)
Suppose 69*q - 18*q - 255 = 0. Determine j, given that -j**2 + 1/2*j**4 + 1/2 + 1/2*j**q - j**3 + 1/2*j = 0.
-1, 1
Let u be 1*469 - 0/(6/(-2)). Let -443*w**3 + 879*w**3 + 6*w**2 - u*w**3 = 0. What is w?
0, 2/11
Let l(i) = 3*i**3 - i**2 + 2*i - 2. Let g be l(1). Factor 5 - 6*r**2 - g + 3*r**3 - 5 - r**3 + 6*r.
2*(r - 1)**3
Let u(a) = a**3 + 58*a**2 - 116*a + 240. Let c be u(-60). Factor c + 0*g - 1/2*g**2 - 1/4*g**4 - 3/4*g**3.
-g**2*(g + 1)*(g + 2)/4
Let q(y) be the first derivative of -5/8*y**3 + 3*y**2 + 24 + 8*y + 1/32*y**4. Suppose q(p) = 0. Calculate p.
-1, 8
Let k(t) = -t**3 + t**2 - 1. Let r be (3 + -1)*(-45)/30. Let f(l) = -2*l**3 + 3*l**2 + 7*l. Let x(i) = r*f(i) - 6*k(i). What is q in x(q) = 0?
-1, 1/4, 2
Suppose r = 2*c + 480, -4*r + 1440 = -r + 5*c. Let y = r + -3354/7. Let 6/7*h + 2/7 + 2/7*h**3 + y*h**2 = 0. Calculate h.
-1
Let d = -483 - -486. Let t(c) be the first derivative of 0*c**2 + 0*c + 36/5*c**5 + 7 - 2*c**d + 7/2*c**6 + 9/4*c**4. Factor t(k).
3*k**2*(k + 1)**2*(7*k - 2)
Let t(q) = 9*q**3 + 45*q**2 - 124*q + 77. Let f(b) = -6*b**3 - 30*b**2 + 83*b - 52. Let m(z) = 7*f(z) + 5*t(z). Factor m(h).
3*(h - 1)**2*(h + 7)
Let x be 4 + (-39)/12 + (-42)/56. Factor -3/2*y**4 - 5/2*y**5 + x*y**2 + 0 + y**3 + 0*y.
-y**3*(y + 1)*(5*y - 2)/2
Let j = -2797/124117 + 2/833. Let h = 283/745 - j. Factor 0*m**2 - h - 3/5*m + 1/5*m**3.
(m - 2)*(m + 1)**2/5
Let v(g) be the first derivative of -g**4 - 8*g**3/3 + 2*g**2 + 8*g - 1. Let v(o) = 0. Calculate o.
-2, -1, 1
Determine t, given that -22*t**4 - 16*t**4 + 95*t**3 - 37*t**4 + 80*t**4 = 0.
-19, 0
Let v(h) be the first derivative of