ive of 0*c**5 + 0 + 0*c - j*c**2 - 1/140*c**6 + 1/14*c**3 - 1/490*c**7 + 1/28*c**4. Factor i(y).
-3*(y - 1)*(y + 1)**3/7
Let r(g) = g + 1. Let w be r(5). Suppose -3 = -t + w*c - 2*c, 3*t - 9 = -2*c. Factor 0*i + 0*i**t + 6*i**4 + 8*i + 2*i**3 - 16*i**2.
2*i*(i - 1)*(i + 2)*(3*i - 2)
Let g(s) be the second derivative of s**6/270 + s**5/30 - 2*s**4/27 - s**3/9 + 7*s**2/18 - 4*s + 84. Factor g(h).
(h - 1)**2*(h + 1)*(h + 7)/9
Let m(f) be the third derivative of 1/40*f**6 - 2*f**3 - 4*f**2 - 6*f + 0 + f**4 - 1/4*f**5. Factor m(i).
3*(i - 2)**2*(i - 1)
Let k(h) be the second derivative of h**8/10920 + h**7/2730 - h**6/2340 - h**5/390 + 7*h**3/3 - 22*h. Let l(a) be the second derivative of k(a). Factor l(r).
2*r*(r - 1)*(r + 1)*(r + 2)/13
Let s = 115 - 87. Let g be 6/(s/8 - (2 + 0)). Factor -10/11*l**3 - 2/11*l**g + 0 - 8/11*l - 16/11*l**2.
-2*l*(l + 1)*(l + 2)**2/11
Let l = 20 - 16. Factor -38*b + b**3 - l*b**2 + 6*b**2 + 39*b.
b*(b + 1)**2
Factor 1/6*z**2 + 0 + 1/6*z.
z*(z + 1)/6
Suppose 12*i - 977 = -953. Let y(p) be the third derivative of 0*p**3 - 1/60*p**4 + 0*p + 1/300*p**5 + 3*p**i + 0. Factor y(s).
s*(s - 2)/5
Suppose 5*l - 7 = 13. Let z = 36 + -3. Factor z*j - 1 - 25*j - 3 - l*j**2.
-4*(j - 1)**2
Suppose 29 = 3*o + 5*h, -o - o - 4*h + 22 = 0. Let r = o + 0. Factor -p**5 - 4*p**2 + 8*p + 3*p**5 - 3*p**5 + 4*p**4 - 4*p - r*p**3.
-p*(p - 2)**2*(p - 1)*(p + 1)
Factor 2*r + 2/5*r**2 + 12/5.
2*(r + 2)*(r + 3)/5
Let k = -19 + 29. Suppose -4*s = -4*v + 18 + k, -16 = 2*v + 4*s. Factor -2*j**2 + 2*j - v*j - 2*j - 6*j.
-2*j*(j + 4)
Let h(k) be the second derivative of -12*k**3 + 0 + 45*k - 67/5*k**5 - 4*k**2 - 55/3*k**4 - 7/12*k**7 - 91/20*k**6. Solve h(d) = 0 for d.
-2, -1, -2/7
Let x(s) be the third derivative of s**5/15 - 29*s**4/3 + 38*s**3 - 271*s**2. Suppose x(c) = 0. Calculate c.
1, 57
Suppose -5*z + 5*i + 35 = 2*i, -4*z + i + 21 = 0. Suppose -3*r - z*s = -4, s = 5*s - 4. Solve -2/3*o + r + 1/3*o**2 = 0 for o.
0, 2
Solve -342*p**2 + 377*p**2 - 8*p**3 + 80*p + 60 + 13*p**3 = 0 for p.
-3, -2
Let p = 3472/2195 - -8/439. Let f(g) be the first derivative of -16/5*g**2 + 1 + 14/15*g**3 + p*g. Determine i so that f(i) = 0.
2/7, 2
Let u = -282/5 + 57. Let b be -2 + (-1 - 10/(-6))*3. Factor 6/5*i + b*i**2 + 3/5 - u*i**4 - 6/5*i**3.
-3*(i - 1)*(i + 1)**3/5
Let i = -8/5 - -114/65. Let f = 9/26 + i. Factor f*o**2 + 1/2*o**5 + 0 - 1/2*o**4 + o - 3/2*o**3.
o*(o - 2)*(o - 1)*(o + 1)**2/2
Let f be (-6)/12 - (-3914)/4. Let o be ((-20)/(-15))/(4/f). Determine m so that -o*m + 3*m**4 + 326*m - 3*m**2 = 0.
-1, 0, 1
Suppose -3*h**3 + 22*h - 45*h**2 - 7*h - 57*h = 0. Calculate h.
-14, -1, 0
Let t(g) be the second derivative of g**6/2880 + g**5/120 + g**4/12 - 2*g**3/3 + 4*g. Let f(u) be the second derivative of t(u). Factor f(q).
(q + 4)**2/8
Let q(d) be the first derivative of -d**5/360 + d**3/36 - 3*d**2 + 7. Let v(b) be the second derivative of q(b). Factor v(j).
-(j - 1)*(j + 1)/6
Let p(m) be the first derivative of -20/3*m**3 - 6*m**2 - 18 + 3*m**4 + 16*m + 4/5*m**5. Factor p(v).
4*(v - 1)**2*(v + 1)*(v + 4)
Let s(x) = 2*x**3 - x**2 - 5*x + 3. Let v(l) = 0*l**2 + 0*l**3 - 2 + 4*l - 2*l**3 + 2*l**2 - 2. Let o(k) = -4*s(k) - 5*v(k). Factor o(u).
2*(u - 2)**2*(u + 1)
Let 5746*k - 306*k**2 + 5036*k - 2309*k + 3*k**3 - 670*k = 0. Calculate k.
0, 51
Let x = 1788 - 5363/3. Factor -x*q**2 - 4/3 - 4/3*q.
-(q + 2)**2/3
Let y be 0 - (-1 - 0/(-3)). Suppose -4*m - y = -13. Factor -2/5*o**2 + 1/5*o**m + 1/5*o + 0.
o*(o - 1)**2/5
Suppose 4*w + 4 = 16. Factor 239*h + 0 + 9*h**2 + h**4 - 4*h**4 - 6 - 242*h + 3*h**w.
-3*(h - 2)*(h - 1)*(h + 1)**2
Let m(x) be the first derivative of -x**6/5 + 3*x**5/5 - 3*x**4/4 + x**3/2 + 5*x**2 + 8. Let s(w) be the second derivative of m(w). Let s(i) = 0. Calculate i.
1/2
Let v(k) = 27*k**3 + 9*k**2 + 12*k - 12. Let y(l) = 2*l**3 + l**2 + l - 1. Let a(t) = -v(t) + 12*y(t). Solve a(m) = 0 for m.
0, 1
Let h(q) = -16*q**3 + 52*q**2 - 24*q + 4. Let b(f) = f**2 + 2*f - 1. Let u(v) = -8*b(v) + h(v). Factor u(a).
-4*(a - 1)**2*(4*a - 3)
Suppose -i - 3*i + 7 = -5*t, -4*t + 16 = 4*i. Let k be 10*i/6 - 1. Find z, given that 0*z**2 - z**3 + k*z**3 + z**4 + 6*z**2 - 4*z**4 = 0.
-1, 0, 2
Let s be ((-69)/23)/(((-6)/8)/1). Suppose 4*m**s + 8*m**3 + 0*m**3 - 2*m**5 - 30*m**2 + 14*m**2 = 0. What is m?
-2, 0, 2
Let v(p) be the third derivative of 13*p**5/48 - 55*p**4/96 - 5*p**3/12 + p**2 + 46*p. Factor v(x).
5*(x - 1)*(13*x + 2)/4
Let a be 13/2*5/((-585)/(-36)). Determine l so that -2/11*l + 0*l**3 + 0 + 2/11*l**5 - 4/11*l**4 + 4/11*l**a = 0.
-1, 0, 1
Let j(p) be the first derivative of 12*p**2 - 10 + 3/4*p**4 + 7*p**3 - 48*p. Find k, given that j(k) = 0.
-4, 1
Let u(o) = 19*o - 167. Let z be u(9). Let h(p) be the first derivative of -z + 1/14*p**4 + 0*p**3 + 0*p**2 + 0*p - 2/35*p**5. Factor h(s).
-2*s**3*(s - 1)/7
Let d(y) = 2*y**3 + 54*y**2 - 48*y + 4. Let t(i) = 3*i**3 + 55*i**2 - 48*i + 5. Let o(q) = -5*d(q) + 4*t(q). Factor o(v).
2*v*(v - 24)*(v - 1)
Let p(k) be the third derivative of k**7/525 + k**6/150 - k**5/50 - 5*k**2 + 2. Factor p(u).
2*u**2*(u - 1)*(u + 3)/5
What is x in 10*x**3 + 15*x - 45/2*x**2 - 5/2 = 0?
1/4, 1
Let o(q) be the first derivative of -1/15*q**5 + q + 0*q**4 - 4/3*q**2 + 2/3*q**3 - 12. Factor o(c).
-(c - 1)**3*(c + 3)/3
Let f(k) be the third derivative of k**8/50400 - k**7/6300 + k**6/1800 + k**5/6 + 9*k**2. Let u(g) be the third derivative of f(g). Factor u(y).
2*(y - 1)**2/5
Let g(s) be the first derivative of -25/14*s**5 + 6*s + 3 - 20/7*s**3 + 8/7*s**2 + 25/7*s**4. Let f(p) be the first derivative of g(p). Factor f(d).
-2*(5*d - 2)**3/7
Let m(z) be the first derivative of 1/5*z**2 + 6*z - 2/45*z**3 + 1 - 1/90*z**4. Let y(i) be the first derivative of m(i). Factor y(g).
-2*(g - 1)*(g + 3)/15
Suppose 7*u - 2*u = 11*u. Let t(d) be the third derivative of 0*d + 1/42*d**4 - 1/60*d**6 - 11*d**2 + u + 0*d**3 - 1/42*d**5. What is w in t(w) = 0?
-1, 0, 2/7
Let w(x) = x**2 + 28*x - 162. Let l be w(5). Let y(t) be the first derivative of 1/2*t**4 + t - t**2 - l + 1/4*t**5 - 3/4*t**3. Suppose y(a) = 0. What is a?
-2, -1, 2/5, 1
Let s be 26/39 - (-574)/(-6). Let z = 191/2 + s. Determine o so that 0*o + z*o**2 + 0 = 0.
0
Let b(k) = 7*k**3 - 213*k**2 - 212*k + 4. Let w(o) = 2*o**3 - o**2 - o + 1. Let i(a) = -b(a) + 4*w(a). Factor i(c).
c*(c + 1)*(c + 208)
Factor 99/5*z**2 + 1/5*z**4 - 20 - 4*z + 4*z**3.
(z - 1)*(z + 1)*(z + 10)**2/5
Let x be (-4)/(-6) + (-520)/1365. Factor -2/7*r + x*r**2 + 0.
2*r*(r - 1)/7
Find l such that -3*l - 12 + 3/2*l**2 = 0.
-2, 4
Let y be -1 - 18/36*-218. Find j such that 3*j**3 - 27*j**2 + y*j - 162 - 1/8*j**4 = 0.
6
Let 48*h - 27*h**2 - 97*h**2 + 4*h**5 - 7*h**4 + 108*h**3 - 22*h**4 - 7*h**4 = 0. What is h?
0, 1, 3, 4
Suppose -16*g = -15*g - 2. Let -8*u**2 + 5*u**3 + 7*u**2 + 41*u - 11*u - 24*u**g = 0. What is u?
0, 2, 3
Let s(i) = i**3 - i - 1. Let o(k) = -3*k**3 - k**2 + 3*k + 5. Let l(t) = -o(t) - 4*s(t). Find g such that l(g) = 0.
-1, 1
Let r(l) be the third derivative of -5/96*l**4 + 0 - 9*l**2 - 1/24*l**3 + 1/336*l**8 + 0*l - 7/240*l**5 + 1/480*l**6 + 1/105*l**7. What is q in r(q) = 0?
-1, -1/2, 1
Let l(f) be the second derivative of 3*f**5/20 - 13*f**4/6 - 13*f**3/2 - 5*f**2 - 117*f. Let l(b) = 0. Calculate b.
-1, -1/3, 10
Let j(c) be the first derivative of c**7/56 - c**6/20 + c**4/8 - c**3/8 - 13*c - 9. Let u(k) be the first derivative of j(k). Solve u(v) = 0.
-1, 0, 1
Let q(x) = -x**5 - 16*x**4 - 5*x**3 + 5*x**2 - 16*x - 11. Let k(y) = -y**4 - 2*y - 1. Let w(s) = -44*k(s) + 4*q(s). Find o, given that w(o) = 0.
-3, -2, -1, 0, 1
Suppose -p + 5*f + 3 = 3*p, -8 = -3*p - 2*f. Let 6/5*j**3 - 2/5*j**5 + 2/5*j**4 - 4/5*j - 2/5*j**p + 0 = 0. Calculate j.
-1, 0, 1, 2
Suppose 0 = -2*n + 3*p + 16, 3*n + 38*p - 18 = 41*p. Solve -5/3*r**n + 0 + 0*r - 35/6*r**3 + 10/3*r**4 = 0 for r.
-1/4, 0, 2
Factor 3 + 5*w + 64*w**2 - 64*w**2 - 6*w**3 - 3*w**4 + w + 0*w.
-3*(w - 1)*(w + 1)**3
Let p(n) be the first derivative of -3*n**4/16 - n**3/2 + 3*n**2/2 + 6*n - 49. What is u in p(u) = 0?
-2, 2
Let v = -1647 + 9883/6. Factor 1/3*q + 0 + 7/6*q**2 + v*q**5 + 5/6*q**4 + 3/2*q**3.
q*(q + 1)**3*(q + 2)/6
Factor -67/3*l + 22/3 - 25/3*l**3 + 1/3*l**4 + 23*l**2.
(l - 22)*(l - 1)**3/3
Solve 1524/5*w + 3/5*w**2 + 193548/5 = 0.
-254
Le