) = 3*d(v) + 4*j(v). Solve s(q) = 0 for q.
-1, 0, 1
Let l(v) be the second derivative of -v**5/40 + v**4/24 - 20*v. Factor l(o).
-o**2*(o - 1)/2
Factor -34*g**3 - 4 - 77*g**2 + 67*g**3 + 16*g**3 + 32*g.
(g - 1)*(7*g - 2)**2
Let b = 582 - 40739/70. Let a(g) be the third derivative of 1/60*g**5 - 3*g**2 - 1/40*g**6 + 0 + 0*g**3 + b*g**7 + 0*g - 1/336*g**8 + 0*g**4. Factor a(q).
-q**2*(q - 1)**3
Let p(w) be the third derivative of 3*w**6/160 + w**5/20 - 5*w**4/32 - w**3/4 - 8*w**2. Find g, given that p(g) = 0.
-2, -1/3, 1
Let v = 3 - 3. Let t(d) = 2*d. Let o be t(1). Factor v + 0*h**o + 0*h**4 - 2/9*h + 4/9*h**3 - 2/9*h**5.
-2*h*(h - 1)**2*(h + 1)**2/9
Let r(o) = -2*o**3 + 1. Suppose n + 8 = -6*z + z, n = -3. Let g be r(z). Factor 0 - 4/3*d**4 - 2/3*d - 8/3*d**2 - 10/3*d**g.
-2*d*(d + 1)**2*(2*d + 1)/3
Let r(a) be the first derivative of -a**9/3528 + a**8/1176 + a**7/1470 + 4*a**3/3 + 6. Let s(i) be the third derivative of r(i). Factor s(u).
-2*u**3*(u - 2)*(3*u + 1)/7
Let h be -7*(-27)/126*4/9. Solve 0 - o**2 - 1/3*o**3 - h*o = 0.
-2, -1, 0
Let o(i) be the third derivative of 13*i**8/70560 - i**7/8820 - i**5/12 - 7*i**2. Let l(s) be the third derivative of o(s). Factor l(h).
2*h*(13*h - 2)/7
Let w(t) be the third derivative of t**5/150 - t**4/30 + t**3/15 - 14*t**2. Suppose w(u) = 0. What is u?
1
Let a(b) be the second derivative of b**4/90 - b**3/15 + 2*b**2/15 - 7*b. Let a(z) = 0. Calculate z.
1, 2
Suppose -2*x = -0*x - 3*o - 21, 4*o = 2*x - 26. Factor -9*g**2 + 0*g**3 - 9*g - 5*g**x + 2*g**3 - 3.
-3*(g + 1)**3
Let f(k) be the second derivative of k**7/5880 - k**6/1680 + 5*k**4/12 + k. Let m(d) be the third derivative of f(d). Factor m(r).
3*r*(r - 1)/7
Let p(d) = -7*d**3 + 7*d**2 + 5*d. Suppose -4*x = -18 + 2. Let q = -1 - x. Let m(u) = 10*u**3 - 10*u**2 - 7*u. Let w(t) = q*m(t) - 7*p(t). Factor w(k).
-k**2*(k - 1)
Let t(r) be the second derivative of r**7/105 + r**6/60 - r**5/30 - r**4/12 + r**2/2 + 6*r. Let b(f) be the first derivative of t(f). Factor b(o).
2*o*(o - 1)*(o + 1)**2
Let o(i) = i**3 + 4*i**2 - 2*i + 2. Let z be o(-4). Suppose r = -4*r + z. Factor -2*l**r - 2/3 - 8/3*l.
-2*(l + 1)*(3*l + 1)/3
Suppose 0 = 5*d + 2*x - 25, 0 = 7*x - 5*x - 10. Suppose 0 = -5*h + 4*h + 2. Determine c so that -1/4*c**h + 0*c - 1/4*c**d + 0 = 0.
-1, 0
Let o(j) be the second derivative of 0*j**4 - 1/10*j**5 - 2/15*j**6 + 0*j**3 - 1/21*j**7 + 0 + 0*j**2 - j. Factor o(h).
-2*h**3*(h + 1)**2
Let o be 1*2/7 - 0. Let k = -60 - -62. Factor 8/7 - 8/7*y + o*y**k.
2*(y - 2)**2/7
Suppose 50*a - 32*a = 0. Factor -1/3*w + 1/3*w**3 + a*w**2 + 0.
w*(w - 1)*(w + 1)/3
Let g(b) be the second derivative of 17/4*b**5 + 9/4*b**4 + 0 + 19/30*b**3 + 1/10*b**2 + 5*b + 10/3*b**6. Factor g(m).
(4*m + 1)*(5*m + 1)**3/5
Let p = -2/57 + 102/19. Let p*a**2 - 5*a**3 - 2/3 + 1/3*a = 0. Calculate a.
-1/3, 2/5, 1
Let u be ((-18)/12)/((-35)/20). Factor -3/7*h - u + 3/7*h**3 + 6/7*h**2.
3*(h - 1)*(h + 1)*(h + 2)/7
Find r, given that 12/19*r - 12/19*r**3 + 0 - 2/19*r**4 + 2/19*r**2 = 0.
-6, -1, 0, 1
Let z(j) be the third derivative of 0 + 0*j + 1/12*j**4 + j**2 - 1/60*j**6 + 1/20*j**5 - 1/70*j**7 + 0*j**3. Factor z(w).
-w*(w - 1)*(w + 1)*(3*w + 2)
Let r(i) be the third derivative of -i**10/151200 + i**8/20160 + i**5/30 + 3*i**2. Let z(a) be the third derivative of r(a). Factor z(y).
-y**2*(y - 1)*(y + 1)
Let v(m) be the second derivative of 0*m**2 + 0 - 2/5*m**5 - 1/3*m**4 + 2*m + 0*m**3 - 2/15*m**6. Determine b so that v(b) = 0.
-1, 0
Let t(y) be the third derivative of y**6/300 - y**5/75 + 9*y**2. Factor t(m).
2*m**2*(m - 2)/5
Suppose y + 3 = 3*z + 4*y, -4 = 2*y. Suppose 1/6*c**z + 5/6*c + 2/3*c**2 + 1/3 = 0. Calculate c.
-2, -1
Let w(c) = c**3 + 7*c**2 + 7*c - 3. Let d be w(-6). Let h be (-2)/d + 8/126. Factor h*n**2 + 4/7*n + 2/7.
2*(n + 1)**2/7
Let q = 175/6 + -35/2. Let h = q + -11. Find j, given that -h*j**2 + 0*j + 8/9 + 2/9*j**3 = 0.
-1, 2
Let v = 33866 - 4503984/133. Let x = v + -6/19. Suppose 138/7*s**2 + x + 10/7*s**3 - 200/7*s**4 - 64/7*s = 0. Calculate s.
-1, 1/4, 2/5
Let m(b) be the first derivative of -4*b**5/15 + b**4/6 + 2*b**3/9 + 6. Factor m(t).
-2*t**2*(t - 1)*(2*t + 1)/3
Let a be (-2)/(-4) - (-25)/(-10). Let x(r) = -r**4 + r**2. Let o(f) = f**5 + 7*f**4 + 10*f**3 + 8*f**2 + 5*f + 1. Let b(n) = a*x(n) - o(n). Factor b(w).
-(w + 1)**5
Let k(b) = b**2 + b + 1. Let y(s) = -8*s**3 + 80*s**2 - 94*s - 14. Let l(a) = 36*k(a) - 2*y(a). Let l(q) = 0. Calculate q.
-1/4, 4
Let g(h) be the second derivative of h**10/75600 + h**9/37800 - h**8/16800 - h**7/6300 + h**4/2 + 3*h. Let b(c) be the third derivative of g(c). Factor b(j).
2*j**2*(j - 1)*(j + 1)**2/5
Determine q so that 0 + 3*q**2 - 3/2*q**3 + 9/2*q = 0.
-1, 0, 3
Let v(l) = 2*l**2 + 6*l + 4. Let n(o) = 2*o**2 + 6*o + 4. Let u be ((-2 + 3)*-10)/2. Let a(c) = u*n(c) + 4*v(c). Factor a(p).
-2*(p + 1)*(p + 2)
Let -1/4*z + 1/4*z**3 + 0 + 0*z**2 = 0. Calculate z.
-1, 0, 1
Let v(j) be the first derivative of -j**3 + 3*j**2/2 + 6*j + 3. Solve v(d) = 0 for d.
-1, 2
Let w = -476/3 - -160. Let k = 17/6 - 3/2. Find f, given that 1/3 + 2/3*f**2 + w*f - k*f**3 - f**4 = 0.
-1, -1/3, 1
Let l(r) be the first derivative of 2 + 0*r**2 - 1/9*r**3 - 1/18*r**4 + 4*r. Let j(v) be the first derivative of l(v). Factor j(n).
-2*n*(n + 1)/3
Let t(j) be the second derivative of -2/7*j**2 - 8*j - 1/42*j**4 + 0 - 1/7*j**3. Factor t(i).
-2*(i + 1)*(i + 2)/7
Suppose y = 4*y. Let t(l) be the second derivative of -l - l**4 - 3/10*l**5 - 1/30*l**6 + 0*l**2 - 4/3*l**3 + y. Factor t(o).
-o*(o + 2)**3
Let r be (32/3)/4 - (-2 + 4). Determine u so that r*u**2 + 2*u + 4/3 = 0.
-2, -1
Let k = 6 - 1. Determine u, given that 0*u**2 + 2*u**5 - 8*u**4 - 2*u**3 + u**2 + u**4 - 6*u**k = 0.
-1, 0, 1/4
Let i be -4*1 + 176/33. Find f, given that -i*f + 4/3*f**3 + 0 + 14/3*f**2 - 14/3*f**4 = 0.
-1, 0, 2/7, 1
Let t(v) be the first derivative of -77/6*v**4 - v - 4*v**2 + 32/3*v**3 + 49/10*v**5 - 1. Let h(j) be the first derivative of t(j). Factor h(c).
2*(c - 1)*(7*c - 2)**2
Let y(c) be the second derivative of -c**7/10080 + c**6/2880 + c**4/6 + 2*c. Let d(x) be the third derivative of y(x). Factor d(l).
-l*(l - 1)/4
Let c = 7 + -7. Let m(q) be the third derivative of -1/1344*q**8 + 0*q**3 + c*q + 0 + 2*q**2 - 1/240*q**5 - 1/160*q**6 + 0*q**4 - 1/280*q**7. Factor m(p).
-p**2*(p + 1)**3/4
Let q(y) = y + 14. Let s be q(-11). Let 3*l**2 + 0*l**2 + 24*l**4 - 51*l**s + 21*l**3 + 3*l = 0. Calculate l.
-1/4, 0, 1/2, 1
Let v(l) be the third derivative of -l**6/40 - 3*l**5/20 - l**4/4 - 6*l**2. Factor v(g).
-3*g*(g + 1)*(g + 2)
Let w(j) be the second derivative of j**5/28 - 2*j**4/21 - 19*j**3/42 - 3*j**2/7 - 3*j. Factor w(b).
(b - 3)*(b + 1)*(5*b + 2)/7
Let c(y) be the first derivative of -2*y**5/45 + y**4/2 - 16*y**3/9 + 16*y**2/9 + 7. Find i such that c(i) = 0.
0, 1, 4
Let p(o) be the first derivative of -o**7/525 + o**6/300 - o**2/2 - 1. Let j(q) be the second derivative of p(q). Factor j(a).
-2*a**3*(a - 1)/5
Let 56/9*o + 8/9 + 2*o**4 + 106/9*o**2 + 76/9*o**3 = 0. Calculate o.
-2, -1, -2/9
Let a = 6/23 + 5/69. Let c(t) be the second derivative of 2*t - 1/3*t**4 + a*t**3 + t**2 + 0. Factor c(n).
-2*(n - 1)*(2*n + 1)
Factor 3 - 3/4*a**3 + 15/4*a**2 - 6*a.
-3*(a - 2)**2*(a - 1)/4
Let p(u) = u**3 - 3*u**2 - 10*u - 2. Let t(a) = -a**3 - a**2 + a - 1. Let c(b) = b**2 - 3*b + 1. Let x be c(3). Let s(y) = x*p(y) + 2*t(y). Factor s(w).
-(w + 1)*(w + 2)**2
Let v(r) be the first derivative of -2/27*r**3 - 3 - 2/9*r**2 + 0*r. Factor v(f).
-2*f*(f + 2)/9
Let x(k) be the third derivative of 4*k**2 + 0*k - 1/360*k**6 + 0 + 1/24*k**4 - 1/9*k**3 + 0*k**5. Factor x(h).
-(h - 1)**2*(h + 2)/3
Let q be -4 + (-4)/(72/(-138)). Let a(h) be the first derivative of -4 + h - 3*h**4 - q*h**3 + h**2. Factor a(v).
-(v + 1)*(3*v - 1)*(4*v + 1)
Let p(y) be the third derivative of y**8/1848 + 2*y**7/1155 - y**5/165 - y**4/132 - 9*y**2. Determine f so that p(f) = 0.
-1, 0, 1
Suppose 11 = 4*y - 9, 3*q - 32 = -4*y. Let -q + 3*z**2 + 4*z**2 - 2*z + z**2 - 6*z**2 = 0. What is z?
-1, 2
Let o be 28/(-864)*-3*3. Let w(i) be the second derivative of 1/20*i**5 + 0*i**2 - 7/60*i**6 - 1/6*i**3 + o*i**4 + 0 + 2*i. Solve w(h) = 0.
-1, 0, 2/7, 1
Let b(p) be the third derivative of 0*p**3 + 1/540*p**6 - 8*p**2 + 0*p + 0 - 1