 + 8*h**2 + 0*h + 0*h**3 + 0 - 1/30*h**5. Factor t(l).
-2*l*(l + 3)
Let i be (1 + -4)*(-32)/12. Let x be (i/(-102))/((-6)/45). Find f, given that -10/17*f**3 - 4/17 + 4/17*f**2 + x*f = 0.
-1, 2/5, 1
Let y(u) be the first derivative of -2*u**3/21 + 32*u**2/7 - 512*u/7 + 53. Factor y(v).
-2*(v - 16)**2/7
Determine c so that 204*c + 2544 + 2171 - 642 - 605 + 3*c**2 = 0.
-34
Suppose -213*b - 12 = -217*b. Let z(w) be the second derivative of 0 + 0*w**2 - 11*w - 1/60*w**5 + 0*w**b + 1/36*w**4. Factor z(x).
-x**2*(x - 1)/3
Solve -5/4*h**2 - 78*h - 31 = 0.
-62, -2/5
Let v = 29 + -17. Suppose v*a - 6*a - 12 = 0. Factor -14*d**a + 25*d**2 - d + 13*d - 7*d**2.
4*d*(d + 3)
Determine x so that -14/3*x**3 - 130/3*x + 1/3*x**4 + 25 + 68/3*x**2 = 0.
1, 3, 5
Let n(h) = -5*h**4 - 14*h**3 + 15*h**2 + 4*h. Let f(y) = -y**5 - y**4 + y**3 + y**2. Let c(k) = 21*f(k) - 3*n(k). Suppose c(w) = 0. Calculate w.
-2, -2/7, 0, 1
Let x(s) be the third derivative of 0*s**3 - 1/40*s**6 - 9*s**2 - 1/70*s**7 + 0 + 1/20*s**5 + 0*s + 1/8*s**4. Factor x(i).
-3*i*(i - 1)*(i + 1)**2
Find z, given that -z**4 + 0 + 1/2*z**5 - 6*z + 10*z**2 - 7/2*z**3 = 0.
-3, 0, 1, 2
Let s(d) be the third derivative of -d**7/280 + d**6/120 + d**5/20 - 13*d**3/6 + 14*d**2. Let a(h) be the first derivative of s(h). Factor a(k).
-3*k*(k - 2)*(k + 1)
Let a(d) be the second derivative of 0 - d + 2/21*d**3 + 0*d**2 - 1/42*d**4. Find u, given that a(u) = 0.
0, 2
Let f(d) be the third derivative of -d**7/210 + d**6/90 - 29*d**3/6 - 33*d**2. Let o(z) be the first derivative of f(z). Determine g, given that o(g) = 0.
0, 1
Let m be ((-154)/28 - -13) + -7. Let n be 2*1 + (-15)/12. Factor m + 1/4*o**4 + 1/4*o**3 - 1/4*o - n*o**2.
(o - 1)**2*(o + 1)*(o + 2)/4
Let r(c) be the second derivative of -1/30*c**4 + 0*c**3 + 1/50*c**5 + 0*c**2 + 0 + 11*c. Let r(f) = 0. Calculate f.
0, 1
Let b(w) be the third derivative of w**8/336 - w**7/35 + w**6/15 + w**5/30 - 3*w**4/8 + 2*w**3/3 + 3*w**2 + 18. Factor b(i).
(i - 4)*(i - 1)**3*(i + 1)
Determine b, given that -7*b**3 + 36*b**4 + 10*b**3 + 214*b**5 - 36*b**2 - 229*b**5 + 12*b = 0.
-1, 0, 2/5, 1, 2
Let n(d) be the second derivative of -d**5/20 + 5*d**4/6 + 13*d**3/6 - 11*d**2 - 401*d. Suppose n(a) = 0. What is a?
-2, 1, 11
Let y = 114 - 111. Factor -4*v**y + 8 + 1/2*v**4 - 16*v + 12*v**2.
(v - 2)**4/2
Suppose 2 - 12*c**3 + 2*c**3 + 13 - 15*c - 25*c + 35*c**2 = 0. Calculate c.
1, 3/2
Let q(i) be the second derivative of 20*i**6/3 + 3*i**5/4 - 5*i + 2. Factor q(x).
5*x**3*(40*x + 3)
Let a = -268 - -1341/5. Factor 0*x + 0 + a*x**5 - 2/5*x**4 + 0*x**2 + 1/5*x**3.
x**3*(x - 1)**2/5
Let d(h) be the second derivative of -h**10/15120 + h**9/2520 - h**7/315 + h**4/2 + 2*h - 8. Let f(a) be the third derivative of d(a). Factor f(u).
-2*u**2*(u - 2)**2*(u + 1)
Let y = -9853 + 167505/17. Factor y*l**3 + 0*l**4 - 2/17*l**5 + 0*l**2 + 0 - 2/17*l.
-2*l*(l - 1)**2*(l + 1)**2/17
Let v = -89 - -109. Suppose 10*f - 10 - v = 0. Solve -4/7 - 2*w + 10/7*w**2 + 8/7*w**f = 0.
-2, -1/4, 1
Factor 2/9*t - 8/3 - 2/9*t**3 + 8/3*t**2.
-2*(t - 12)*(t - 1)*(t + 1)/9
Let f(u) be the third derivative of 0*u - 1/75*u**5 + 1/24*u**4 + 1/600*u**6 + 7*u**2 - 1/15*u**3 + 0. Factor f(w).
(w - 2)*(w - 1)**2/5
Let h(i) = 2*i**3 - 35*i**2 - 55*i - 24. Let b(j) = -2*j**3 + j**2 + j. Let p(s) = 3*b(s) + h(s). Factor p(n).
-4*(n + 1)**2*(n + 6)
Let k(z) be the first derivative of 0*z**2 - 1/4*z**4 + 1/10*z**6 + 0*z**5 + 3*z + 3 + 0*z**3. Let g(l) be the first derivative of k(l). Factor g(x).
3*x**2*(x - 1)*(x + 1)
Let f = -1/438 - -239/8760. Let c(l) be the second derivative of 0 - 3/80*l**5 + 1/8*l**4 - f*l**6 + l + 0*l**3 + 0*l**2. Factor c(k).
-3*k**2*(k - 1)*(k + 2)/4
Let j be 3/(-660)*-4 + 40/220. Suppose -6*b = -b - 15. Suppose -3/5*u - j*u**b + 9/5 - u**2 = 0. Calculate u.
-3, 1
Let l = 36 - 33. Suppose -l*o + 5 = -4*q + 5*q, 2*q - 9 = -5*o. Factor -15*g**2 - 9*g**2 + 20*g**q - 64 - 32*g.
-4*(g + 4)**2
Let d = -48774 - -6487184/133. Let k = d - 12/7. Let 0*a**2 + 0 - k*a + 2/19*a**3 = 0. Calculate a.
-1, 0, 1
Let i(y) be the first derivative of 23*y**6/45 - 2*y**5/3 - 7*y**4/10 + 10*y**3/9 - 2*y**2/15 - 1. Suppose i(g) = 0. What is g?
-1, 0, 2/23, 1
Factor -15*u + u**2 + 20*u**3 + 3*u**5 - 5 - 11*u**2 - 8*u**5 + 15.
-5*(u - 1)**3*(u + 1)*(u + 2)
Determine h so that 0*h + 0 + 2*h**3 - 4/3*h**2 - 2/3*h**4 = 0.
0, 1, 2
Determine v, given that -25/2*v - 65/3 - 5/6*v**2 = 0.
-13, -2
Determine l, given that -22 + 2/5*l**2 - 108/5*l = 0.
-1, 55
Determine d so that 46*d - 14*d**2 + 68*d**2 + 6*d - 2*d**3 + 4*d**3 = 0.
-26, -1, 0
Let i be -2 - ((-34)/8 + 5/20). Determine s, given that -20*s - 4*s**i - 2*s**2 + 13*s**2 - 2*s**2 = 0.
0, 4
Let b = 623/6 + -310/3. Let 0*l - 1/8*l**4 + 1/2*l**3 - b*l**2 + 0 = 0. Calculate l.
0, 2
Let x(l) be the second derivative of -l**6/120 - l**5/40 + l**4/4 - 5*l**3 + 24*l. Let v(z) be the second derivative of x(z). Factor v(s).
-3*(s - 1)*(s + 2)
Let s(a) be the second derivative of 2*a**2 + 0*a**4 - 2/5*a**3 + 1/100*a**5 + 3*a + 0. Let x(u) be the first derivative of s(u). Factor x(q).
3*(q - 2)*(q + 2)/5
Factor 6*p**2 + 3/5*p**3 + 168/5 - 156/5*p.
3*(p - 2)**2*(p + 14)/5
Factor 0 + 0*l + 5/3*l**4 - 10*l**3 + 40/3*l**2.
5*l**2*(l - 4)*(l - 2)/3
Find z, given that -18/5*z**3 + 0*z + 18/5*z**4 + 6/5*z**2 + 0 - 6/5*z**5 = 0.
0, 1
Let g(r) be the second derivative of r**6/15 + r**5/5 + r**4/6 + 2*r + 57. Factor g(i).
2*i**2*(i + 1)**2
Let k(p) be the second derivative of 176/9*p**3 + 0 - 175/9*p**4 + 49/15*p**5 - 12*p - 8*p**2. Let k(w) = 0. What is w?
2/7, 3
Let z be 4/14*(1 + 7 - -6). Let k(h) be the third derivative of 2/15*h**3 + 1/60*h**5 + 1/24*h**6 + 0 + 0*h - 2/15*h**z + 5*h**2. Factor k(w).
(w + 1)*(5*w - 2)**2/5
Let 123/4*g + 59/2*g**3 + 27/4*g**4 + 91/2*g**2 - 1/4*g**5 + 31/4 = 0. What is g?
-1, 31
Let -4/5 - 2/5*f**2 - 6/5*f = 0. Calculate f.
-2, -1
Suppose 0 = n + 9, 8 = -4*s - n - 1. Factor 2/3*w**3 + 2/3*w + 4/3*w**2 + s.
2*w*(w + 1)**2/3
Let i = 35 - 32. Suppose h + i - 5 = 0. Factor -h*n**4 - 13*n**3 + 19*n**3 + 5*n**4 + 3*n**2.
3*n**2*(n + 1)**2
Suppose -2*z = 5*o - 20, 0 = -3*z - 2*z + 25. Let h be ((-36)/(-14) - 2)/o. Factor -2/7 + 2/7*w**3 + 2/7*w**2 - h*w.
2*(w - 1)*(w + 1)**2/7
Let h(n) be the third derivative of 361*n**5/180 + 19*n**4/18 + 2*n**3/9 - 33*n**2. Find p, given that h(p) = 0.
-2/19
Let p(n) be the first derivative of 2*n**3/33 - 148*n**2/11 + 10952*n/11 + 175. Determine x, given that p(x) = 0.
74
Suppose -125*b = 8 - 258. Factor 18/5 + 74/5*h + 8/5*h**b.
2*(h + 9)*(4*h + 1)/5
Let q(y) be the first derivative of 3 - 9/2*y - 3/2*y**2 + 1/2*y**3. Determine z so that q(z) = 0.
-1, 3
Let u(a) = -11*a**4 - 54*a**3 - 240*a**2 + 46*a + 227. Let s(l) = 7*l**4 + 36*l**3 + 160*l**2 - 31*l - 152. Let w(x) = -8*s(x) - 5*u(x). Factor w(t).
-(t - 1)*(t + 1)*(t + 9)**2
Let f(s) be the third derivative of -s**7/210 - s**6/90 - s**5/180 + 19*s**2 - 11*s. Factor f(x).
-x**2*(x + 1)*(3*x + 1)/3
Suppose -5*b - 19 = -s, 0 = -5*b - 1 - 14. Solve 12*u**3 + 39 + s*u**5 - 9*u - 7*u**3 + 12*u**4 - 10*u**2 - 41 = 0 for u.
-2, -1, -1/2, 1
Factor 1/2*l**4 + 0*l**3 + 0 - 3/2*l**2 - l.
l*(l - 2)*(l + 1)**2/2
Let u be 3/5 + (-24)/(-10). Determine z, given that -5*z + 0*z**2 - u - z**2 + 12*z - 3*z = 0.
1, 3
Let x(j) be the first derivative of j**3/3 - 149*j**2 + 22201*j - 414. What is g in x(g) = 0?
149
Let m be 1484/21 + (-15)/3. Let i = 66 - m. Factor 1/2*h + 1/6*h**2 + i.
(h + 1)*(h + 2)/6
Solve 88*o**2 - 67 + 59 - 86*o**2 = 0 for o.
-2, 2
Suppose -1744 + 1771 = 9*j. Factor 2/3*y**2 + 1/3*y - 1/3*y**j - 2/3.
-(y - 2)*(y - 1)*(y + 1)/3
Let a be -1 + -2 - -22*4/8. Suppose -13 + 2*c**5 + 0*c**5 + 6*c + 4*c**2 + 0*c**5 + 9 - a*c**3 = 0. What is c?
-2, -1, 1
What is l in 6/5*l**2 + 2/5*l**3 - 8/5 + 0*l = 0?
-2, 1
Let z(o) be the third derivative of -o**5/45 + 13*o**4/18 + 136*o**3/9 - 269*o**2. Factor z(l).
-4*(l - 17)*(l + 4)/3
Factor -29*v**2 - 29*v + 13*v**2 - 12 + 2*v**2 - 17*v.
-2*(v + 3)*(7*v + 2)
Let i(j) = j**2 - 13*j + 9. Let k be i(12). Let m = k + 26. Solve -27*x**2 - m*x**3 + 231*x**4 + 39*x**2 + 147*x**5 + 119*x**3 = 0 for x.
-1, -2/7, 0
Let t = 1/238 - -271/238. Factor t*h**2 - 2/7*h**3 + 0*h + 0.
-2*h**2*(h - 4)/7
Let k(a) = -3*a**2 - 13*a + 3. Let l(w) = -w**2. Let g(h) =