hird derivative of y**8/1680 + y**7/525 + y**6/600 + 3*y**2. Factor m(x).
x**3*(x + 1)**2/5
Factor -19*f + 3*f**2 - 12*f + 4*f**3 + 6*f + 6.
(f - 2)*(f + 3)*(4*f - 1)
Let j = 16/5 + -8/15. Factor -6*d**3 - 2/3*d + 0 + j*d**4 + 4*d**2.
2*d*(d - 1)**2*(4*d - 1)/3
Let q(b) be the first derivative of -b**4/6 + 2*b**3/9 + b**2/3 - 2*b/3 - 40. What is h in q(h) = 0?
-1, 1
Let m(o) be the second derivative of 1/6*o**3 + 1/6*o**4 + 0 + 1/20*o**5 + 2*o + 0*o**2. Let m(n) = 0. Calculate n.
-1, 0
Let b(u) be the first derivative of -1/2*u**4 - 1 - 2*u**2 - 2*u**3 + 0*u. Determine q, given that b(q) = 0.
-2, -1, 0
Let x(q) be the second derivative of q**5/30 - 3*q**2/2 + 2*q. Let j(b) be the first derivative of x(b). Factor j(l).
2*l**2
Let k(z) be the third derivative of -z**5/90 - 11*z**4/9 - 484*z**3/9 - 6*z**2. Solve k(x) = 0.
-22
Factor 6 + 32*t**2 - 24*t - 128/9*t**3.
-2*(4*t - 3)**3/9
Find j such that 4*j**4 + 0*j - 4/3*j**3 + 4/3*j**5 + 16/3 - 28/3*j**2 = 0.
-2, -1, 1
Let s be 1 - 0 - (7 - -1). Let h(d) = -d**3 - 8*d**2 - 9*d - 10. Let f be h(s). What is n in -2*n**4 - 3*n**f - n + n**3 - n**2 + 6*n**4 = 0?
-1, 0, 1
Factor -58*c + 103*c + c**2 - 57*c + 36.
(c - 6)**2
Let y(d) be the first derivative of -4*d**3/21 - 12*d**2/7 + 3. Factor y(n).
-4*n*(n + 6)/7
Let m = -103 + 103. Suppose -1/4*l**4 - 1/4*l**3 + 0*l + m + 0*l**2 = 0. Calculate l.
-1, 0
Let s = -125/3 + 42. Factor 1/3 + s*t**3 - 1/3*t - 1/3*t**2.
(t - 1)**2*(t + 1)/3
Let t be (-3)/2*(-2 - -1)/2. Factor -t*f**2 + 0 - 3/4*f.
-3*f*(f + 1)/4
Let t(x) be the third derivative of 0*x - 1/192*x**8 + 1/70*x**7 + 1/32*x**4 + 1/12*x**3 + 0 + x**2 + 1/120*x**6 - 7/120*x**5. Find y, given that t(y) = 0.
-1, -2/7, 1
What is g in -3*g**2 - 290*g**3 + g**2 + 32*g + 8 + 282*g**3 = 0?
-2, -1/4, 2
Let d(h) be the first derivative of 20/3*h**3 + 16*h - 24*h**2 + 7. Solve d(c) = 0 for c.
2/5, 2
Let q(g) be the second derivative of g**4/60 - 11*g**3/30 + g**2 - g - 41. Factor q(r).
(r - 10)*(r - 1)/5
Let s(i) be the second derivative of i**6/15 + i**5/5 + 5*i. Factor s(m).
2*m**3*(m + 2)
Suppose 2*r + 6 = 3*s - 2*r, -2*r + 4 = 2*s. Determine t so that -7 - s*t + t**3 + 1 - t + 2*t**3 + 6*t**2 = 0.
-2, -1, 1
Let t(n) be the first derivative of n**3/36 + n**2/8 - 9. Factor t(q).
q*(q + 3)/12
Let y(m) be the third derivative of -m**8/280 + m**7/50 - m**6/100 - 11*m**5/100 + m**4/10 + 2*m**3/5 + 20*m**2. Solve y(x) = 0.
-1, -1/2, 1, 2
Let f(y) be the second derivative of 0 - 1/14*y**5 + 4/7*y**2 + 5*y + 3/49*y**7 + 0*y**3 + 1/7*y**6 - 5/14*y**4. Determine z, given that f(z) = 0.
-1, 2/3
Let p(h) = h**3 - 1. Let g(z) = -20*z**4 - 40*z**3 + 10*z**2 + 5. Let y(u) = g(u) + 5*p(u). Factor y(n).
-5*n**2*(n + 2)*(4*n - 1)
Let r(p) be the first derivative of -p**6/6 - 3*p**5/20 + 5*p**4/16 + p**3/4 - p**2/8 + 8. Determine m, given that r(m) = 0.
-1, 0, 1/4, 1
Suppose -f = -2*f + 4*j - 45, 4*f + 120 = 4*j. Let d be -1*(-4 + (-95)/f). Let 1/5*m - d + 1/5*m**2 - 1/5*m**3 = 0. Calculate m.
-1, 1
Factor -1/2*p**5 + 2*p**4 + 2*p**2 - 3*p**3 - 1/2*p + 0.
-p*(p - 1)**4/2
Let v(f) be the third derivative of -f**5/20 + 2*f**3 + 4*f**2. Let v(i) = 0. Calculate i.
-2, 2
Let z = -1983/425 + 80/17. Let r(j) be the first derivative of z*j**5 + 0*j**3 + 1/20*j**4 + 0*j + 3 + 0*j**2. Solve r(l) = 0.
-1, 0
Suppose 45 = 2*i + 3*i. Let t be (2/(-3))/((-3)/i). Factor 0*r + 0*r**t + 0 - 2/9*r**3.
-2*r**3/9
Let y(i) = 6*i**3 - 2*i**2 - i. Let d be y(-1). Let h be (-161)/(-49) - (-2)/d. Suppose -1/3 + 1/3*x - 1/3*x**h + 1/3*x**2 = 0. What is x?
-1, 1
Let z(q) be the second derivative of -6*q**3 + 0 - 6*q**2 + 7/4*q**4 + 3*q. Find h, given that z(h) = 0.
-2/7, 2
Let l(f) be the second derivative of 0 + 1/27*f**3 - 1/54*f**4 - 6*f + 0*f**2. Factor l(a).
-2*a*(a - 1)/9
Factor 1/2*x**2 - 1/2 + 1/4*x - 1/4*x**3.
-(x - 2)*(x - 1)*(x + 1)/4
Let a(q) be the third derivative of q**5/240 - q**4/24 + q**3/8 + 2*q**2. Factor a(f).
(f - 3)*(f - 1)/4
What is a in 2/15*a**2 + 4/5*a - 14/15 = 0?
-7, 1
Let x(a) be the first derivative of -7*a**4/8 + 4*a**3 - 3*a**2 - 6*a - 10. Let d(w) be the first derivative of x(w). Suppose d(h) = 0. Calculate h.
2/7, 2
Let z(c) = 27*c - 3. Let h be z(1). Let d be 12/h*2/4. Solve 0*i + d*i**2 + 0 = 0.
0
Solve 2*d**2 - d**3 - 8*d + 6 - 11 - 3 + 3*d**3 = 0 for d.
-2, -1, 2
Let d = -27047/36 + 3027/4. Let v = d - 128/45. Factor 1/5*w**4 + 4/5 + v*w**2 + 6/5*w**3 + 12/5*w.
(w + 1)**2*(w + 2)**2/5
Let 4/9*o**2 + 2/9*o + 0 + 2/9*o**3 = 0. What is o?
-1, 0
Let b(y) be the second derivative of y**6/300 + y**5/150 - y**4/60 - y**3/15 + y**2/2 - 3*y. Let h(q) be the first derivative of b(q). Solve h(d) = 0 for d.
-1, 1
Let p(o) be the third derivative of -1/112*o**8 + o**2 + 0*o**4 - 27/40*o**6 - 9/70*o**7 + 0*o + 0*o**3 - 27/20*o**5 + 0. Find n, given that p(n) = 0.
-3, 0
Let i(l) be the second derivative of 5*l**7/42 + 2*l**6/3 - l**5/4 - 5*l**4/3 - 61*l. Factor i(o).
5*o**2*(o - 1)*(o + 1)*(o + 4)
Let l = 19 - 17. Determine h, given that 236*h + h**l - h**4 - 236*h = 0.
-1, 0, 1
Let l(d) be the third derivative of -d**5/60 - d**4/8 - d**3/3 + 2*d**2. Factor l(r).
-(r + 1)*(r + 2)
Let r = -24/13 + 386/195. Let 0*d + 0 - 4/15*d**4 + r*d**3 + 2/15*d**2 = 0. Calculate d.
-1/2, 0, 1
Let r(y) be the second derivative of -1/27*y**4 - 1/27*y**3 + 2/9*y**2 + 2*y + 0 + 1/90*y**5. Factor r(g).
2*(g - 2)*(g - 1)*(g + 1)/9
Find l such that -10/21*l**4 - 4/21*l**3 + 0*l**2 + 0*l + 0 = 0.
-2/5, 0
Let r be (6/15)/(1/5). Let o(m) = 3*m. Let c be o(r). Find s such that c*s**5 - s**5 + 2*s**4 - s - 4*s**5 - 2*s**2 = 0.
-1, 0, 1
Let w(q) = 22*q**4 - 62*q**3 + 142*q**2 - 62*q - 10. Let n(u) = -7*u**4 + 21*u**3 - 47*u**2 + 21*u + 3. Let m(r) = -10*n(r) - 3*w(r). Factor m(o).
4*o*(o - 3)*(o - 2)*(o - 1)
Let 1/5*r**2 + 2/5 - 3/5*r = 0. Calculate r.
1, 2
Let o = -354/5 - -72. Let n(k) be the first derivative of -3/2*k**4 - 1 - 1/3*k**6 - o*k**5 - 2/3*k**3 + 0*k + 0*k**2. Factor n(r).
-2*r**2*(r + 1)**3
Let p(r) be the first derivative of -2*r**3/27 + r**2/9 - 1. Determine g, given that p(g) = 0.
0, 1
Let a be 10/(-4)*8/(-80). Let z(x) be the first derivative of -1/4*x - 1/2*x**3 + 1/2*x**2 + 3 + a*x**4 - 1/20*x**5. Factor z(s).
-(s - 1)**4/4
Let h(f) be the first derivative of -4*f**3/3 + 18. Find g, given that h(g) = 0.
0
Let z(p) be the first derivative of 2*p**5/95 - 4*p**3/57 + 2*p/19 - 8. Solve z(y) = 0.
-1, 1
Let y be 18/(-48)*(-1 + (-20)/(-36)). Find l such that 1/2 + 2/3*l + y*l**2 = 0.
-3, -1
Let q(x) be the second derivative of x**6/1980 - x**5/330 + x**4/132 + x**3/3 + 3*x. Let w(a) be the second derivative of q(a). Find u, given that w(u) = 0.
1
Let o(w) = -w + 11. Let f be o(6). Suppose -j = 2*j - f*y - 1, j - y - 1 = 0. Factor 0*u**j + 1/4*u**3 + 0 - 1/4*u.
u*(u - 1)*(u + 1)/4
Let o(h) = -h**3 + h + 2. Let a be o(-1). Let m be (-3)/18 - a/(-4). Factor 0*f + 0 + m*f**3 + 1/3*f**2.
f**2*(f + 1)/3
Let h(n) be the second derivative of 8/3*n**4 + n**5 + 0 + 0*n**2 + 8/3*n**3 + 2/15*n**6 - 10*n. What is z in h(z) = 0?
-2, -1, 0
Let r be ((-167)/20)/(3 - 2). Let n = -27/4 - r. Factor 2/5*i**5 - n*i**2 + 0 + 0*i - 2*i**4 + 16/5*i**3.
2*i**2*(i - 2)**2*(i - 1)/5
Let s(o) = -o**2 + 4. Let u be s(0). Suppose 4*k + k - 3 = -u*c, -2*k = c. Solve 4*f**2 + 1 - 6*f + 3 - 2*f**c = 0 for f.
1, 2
Let p(q) = q + 1. Let v(o) = 2*o**2 - 2*o - 10. Let m(k) = 2*p(k) + v(k). Factor m(h).
2*(h - 2)*(h + 2)
Let p(z) = -z**3 - 7*z**2 + z + 8. Let w be p(-7). Suppose 2*g - 3*d - 13 = 0, -2*g - 2*d = -w + 3. Find o such that o**2 - o**2 - g*o**3 = 0.
0
Let d be 8/10*(-60)/(-8). Factor -6*f**2 + 6 - 15*f**3 + d*f**3 + 4*f**2 - 3*f**4 - f**2 + 9*f.
-3*(f - 1)*(f + 1)**2*(f + 2)
Let y(m) be the second derivative of -m**7/28 - m**6/4 - 3*m**5/5 - m**4/2 - 13*m. Determine b, given that y(b) = 0.
-2, -1, 0
Let m = 2 + -4. Let c be m - -1*(-14)/(-4). Find x, given that 3/2*x - 3/2*x**2 - 3/2*x**3 + 0 + c*x**4 = 0.
-1, 0, 1
Let c(s) be the second derivative of 2*s**7/105 - s**6/60 - s**5/15 + s**4/12 - 3*s**2/2 + 2*s. Let n(r) be the first derivative of c(r). Factor n(v).
2*v*(v - 1)*(v + 1)*(2*v - 1)
Factor 3/5*z**3 - 1/5*z + 0 + 2/5*z**2.
z*(z + 1)*(3*z - 1)/5
Let k = 7/94 - -535/2914. Let t = k - -146/155. Determine y so that 3/5*y**4 + t*y**3 + 3/5*y**2 + 0 + 0*y = 0.
-1