actor 12/7*h**2 + 24/7*h**3 + 0 + 16/7*h**4 + 2/7*h.
2*h*(2*h + 1)**3/7
Let s be 92/(-115) - (-4)/5. Let x(t) be the third derivative of 3/70*t**7 + s - 1/6*t**3 + 2*t**2 + 1/20*t**6 + 0*t - 1/4*t**4 - 2/15*t**5. Factor x(q).
(q - 1)*(q + 1)*(3*q + 1)**2
Let d(t) = -3*t - 1. Let r be d(-2). Suppose 2*y**2 - y - 2*y**4 + y**r - 3 + 3 = 0. Calculate y.
-1, 0, 1
Factor -1/5*z**3 - z - 2/5 - 4/5*z**2.
-(z + 1)**2*(z + 2)/5
Suppose -1 = -2*k + 5. Let p be 14/((4 + 11)/k). Factor -8/5*y - 4/5*y**3 + p*y**2 - 8/5.
-2*(y - 2)**2*(2*y + 1)/5
Let s(j) = j**4 + 3*j**3 - j**2 - 3*j - 5. Let w(m) = m**4 - m**3 - m**2 + m - 1. Let n(l) = s(l) - 5*w(l). Factor n(u).
-4*u*(u - 2)*(u - 1)*(u + 1)
Let v be (-2)/5*155/(-217). Factor 0*h**4 + 0*h + 4/7*h**2 + v*h**5 - 6/7*h**3 + 0.
2*h**2*(h - 1)**2*(h + 2)/7
Let q(m) be the second derivative of -m**6/30 - m**5/4 - 2*m**4/3 - 2*m**3/3 + 34*m. Solve q(o) = 0 for o.
-2, -1, 0
Suppose 15 + 1 = 4*z. Let p(y) be the first derivative of -2/5*y**5 + 2/3*y**3 - 1/8*y**z + 0*y + 1/4*y**2 - 3. Factor p(w).
-w*(w - 1)*(w + 1)*(4*w + 1)/2
Let p(c) be the first derivative of 1/6*c**2 - 1/15*c**5 + 2/9*c**3 + 1/18*c**6 - 1/6*c**4 - 1/3*c + 1. Factor p(f).
(f - 1)**3*(f + 1)**2/3
Let v(k) be the first derivative of -2*k**6/3 + 12*k**5/5 - 3*k**4 + 4*k**3/3 + 1. Find u such that v(u) = 0.
0, 1
Let v(r) = r**2 - r + 1. Let j(b) = -2*b**5 + 4*b**3 + 12*b**2 - 14*b + 12. Let g(q) = j(q) - 12*v(q). Solve g(x) = 0.
-1, 0, 1
Let v(i) be the second derivative of 0*i**2 + 2*i + 1/360*i**5 + 0*i**4 + 0 - 1/6*i**3 + 1/540*i**6. Let z(u) be the second derivative of v(u). Factor z(t).
t*(2*t + 1)/3
Let i(s) be the first derivative of s**3/9 - 7. Factor i(h).
h**2/3
Let 38*m + 5*m**3 + 3*m + 9*m**2 + 14*m - 25 - 44*m**2 = 0. What is m?
1, 5
Let w be -1 + 0 - 14/(-10). Let t be (-2)/6 + 125/15 + -6. Solve -w + 2*h - 6/5*h**t - 18/5*h**3 = 0 for h.
-1, 1/3
Suppose 4 = -2*z, 4*j = z + 2*z - 18. Let b be (j/(-20))/((-9)/(-12)). Factor 8/5*x**3 + b*x**2 - 8/5*x - 2/5.
2*(x - 1)*(x + 1)*(4*x + 1)/5
Let x(p) be the third derivative of -p**8/1848 - 3*p**7/385 - p**6/22 - 23*p**5/165 - p**4/4 - 3*p**3/11 + 3*p**2. Factor x(h).
-2*(h + 1)**3*(h + 3)**2/11
Let j(k) = -14*k**2 - 8*k - 11. Let r(n) = -n - 7. Let b be r(-3). Let u(l) = 5*l**2 + 3*l + 4. Let x(y) = b*j(y) - 11*u(y). Solve x(t) = 0 for t.
0, 1
Let l(w) be the second derivative of -1/10*w**6 - 1/6*w**3 + 0*w**2 - w + 0 - 1/12*w**4 + 1/4*w**5. Factor l(n).
-n*(n - 1)**2*(3*n + 1)
Factor -n - 1/2 - 1/2*n**2.
-(n + 1)**2/2
Let o(v) = v + 3. Let c be o(0). Let s be 12/(-8)*(-1)/c. Solve -1/2*j**3 + 1/2 + 1/2*j - s*j**2 = 0 for j.
-1, 1
Let m(y) = 3*y**2 + 8*y + 27. Let n(v) = -16*v**2 - 39*v - 136. Let o(u) = 33*m(u) + 6*n(u). Solve o(z) = 0 for z.
-5
Let y(k) = 3*k**2 + 4*k + 4. Let b(g) = g**2 + g + 1. Let t(f) = -4*b(f) + y(f). Factor t(n).
-n**2
Let d be 0 + 7/((-7)/(-2)). Let k(n) = -16*n**2 - 6*n + 10. Let w(s) = 3*s**2 + s - 2. Let i(c) = d*k(c) + 11*w(c). Determine b so that i(b) = 0.
-1, 2
Let j(g) be the second derivative of -4*g**6/195 + 3*g**5/26 - 2*g**4/13 - 4*g**3/39 - 24*g. Let j(t) = 0. What is t?
-1/4, 0, 2
Factor s**4 - s**3 + 3*s**2 + 23*s - 2*s**3 + 15*s - 39*s.
s*(s - 1)**3
Let s(n) be the third derivative of 1/6*n**4 - 2*n**2 + 1/60*n**5 + 2/3*n**3 + 0*n + 0. What is h in s(h) = 0?
-2
Let q(u) be the first derivative of 1/12*u**3 - 1/2*u**2 + 0*u - 3 + 1/24*u**4 + 1/120*u**5. Let p(b) be the second derivative of q(b). Factor p(m).
(m + 1)**2/2
Let a(b) be the first derivative of 4*b**5/5 + 5*b**4/4 - b**3 - 5*b**2/2 - b + 5. Determine f so that a(f) = 0.
-1, -1/4, 1
Let h(r) = 2*r**2 - 2*r. Let f be h(1). Factor 0 + 1/3*l**3 + 0*l - 1/3*l**5 + f*l**4 + 0*l**2.
-l**3*(l - 1)*(l + 1)/3
Let u = 581/234 - -2/117. Factor -2 - 8*q - u*q**2 + 7/2*q**3.
(q - 2)*(q + 1)*(7*q + 2)/2
Solve 0*v - 2*v**2 + 8/3 + 2/3*v**3 = 0 for v.
-1, 2
Suppose -2*v = 10, 0 = t - 3*v - 0*v - 18. Factor -2*q**5 - t*q**2 - 2*q**4 + 0*q**5 + 5*q**2 - 2*q**3 + 4*q**3.
-2*q**2*(q - 1)*(q + 1)**2
Factor -15*q**2 + 15*q**3 + 15/2*q - 3/2 - 15/2*q**4 + 3/2*q**5.
3*(q - 1)**5/2
Let a(c) be the first derivative of -c**8/1680 + c**7/840 - c**3/3 - 1. Let i(h) be the third derivative of a(h). Find r such that i(r) = 0.
0, 1
Let n = -41 + 45. Factor 1/3*w**n - 1/3*w**2 - 1/6*w**5 + 0*w**3 + 0 + 1/6*w.
-w*(w - 1)**3*(w + 1)/6
Let a = -314/21 + 114/7. Factor -2/3 - 2/3*i**4 + a*i**3 - 2/3*i - 2/3*i**5 + 4/3*i**2.
-2*(i - 1)**2*(i + 1)**3/3
Suppose 2*n + 2*n - 12 = 0. Let y be n - (-3 + (-1 - -4)). Factor -3/2 + 0*o**3 - 3/2*o**4 + y*o**2 + 0*o.
-3*(o - 1)**2*(o + 1)**2/2
Let z(j) = -j**4 + j**2 - 1. Let i(s) = 4*s**5 - 15*s**4 + 15*s**3 - 5*s**2 + s - 2. Let o(c) = -i(c) + 2*z(c). Let o(k) = 0. Calculate k.
0, 1/4, 1
Factor -3*n**4 - 6*n**3 + 19 - 19.
-3*n**3*(n + 2)
Suppose -4*z = -0*z - 12. Let r be (-5)/((-10)/12) + -3. Factor -2*c**3 - 2*c**r + 3*c**z - c**2.
-c**2*(c + 1)
Let s = 8/15 + 169/105. Find d, given that s*d**4 - 24/7*d - 60/7*d**2 + 0 + 6/7*d**3 = 0.
-2, -2/5, 0, 2
Let j(p) be the second derivative of -p**7/1260 - p**6/270 - p**5/180 - 3*p**3/2 - 9*p. Let c(f) be the second derivative of j(f). Solve c(w) = 0 for w.
-1, 0
Let d(y) be the first derivative of y**4/8 - 2*y**3/3 - 19. Determine g so that d(g) = 0.
0, 4
Let p = 2/249 - -488/1245. Factor -p*b**2 - 2/5*b**3 + 0*b + 0.
-2*b**2*(b + 1)/5
Suppose 0 = -2*t + 3*y + 10, -t = -3*t + y + 6. Factor 0 + 2/3*c**4 + 2/3*c**3 + 0*c + 0*c**t.
2*c**3*(c + 1)/3
Factor -24*k**2 - 15*k**3 - 17*k - 3 - k**3 - 4*k**4 + k - 1.
-4*(k + 1)**4
Suppose 2*u - 4 = -4. Let t(w) be the third derivative of 0*w**3 + 0 + u*w + 1/60*w**5 - 1/24*w**4 + w**2. Determine a, given that t(a) = 0.
0, 1
Let f(s) be the second derivative of s**6/10 + 3*s**5/10 - s**3 - 3*s**2/2 - 2*s. Factor f(p).
3*(p - 1)*(p + 1)**3
Let w be (-6)/10 + 98/140. Let s(m) be the first derivative of -3/20*m**4 + 0*m + 4/15*m**3 - w*m**2 + 2. Factor s(p).
-p*(p - 1)*(3*p - 1)/5
Let w(f) = 2*f**4 + f**3 - f. Let b(k) = 5*k**4 - 6*k**3 - 27*k**2 - 30*k. Let d(q) = b(q) - 3*w(q). Suppose d(v) = 0. What is v?
-3, 0
Let v be (-1 + (-10)/(-4))*2. Suppose -11 = 2*o + 2*g - 19, -2*o + 4*g = 16. Factor 0*m + 1/2*m**2 - 1/4*m**v + o.
-m**2*(m - 2)/4
Suppose 94 + 151 + 70*h - h**2 + 6*h**2 = 0. Calculate h.
-7
Factor 0 + 1/7*d**2 - 3/7*d.
d*(d - 3)/7
Factor -12/5*k**2 - 8/5*k + 0 + 4/5*k**4 + 0*k**3.
4*k*(k - 2)*(k + 1)**2/5
Suppose z + 20 = 4*x, -x - 1 = -5*z - 6. Let i be ((-3)/30)/((-2)/x). Factor -i*n**2 + 1/4 + 0*n.
-(n - 1)*(n + 1)/4
Let n(c) be the second derivative of -c**7/3780 + c**4/12 - 6*c. Let d(b) be the third derivative of n(b). Find y, given that d(y) = 0.
0
Factor -3 - 13*d + 3 + d**3 - 2*d**2 + 14*d.
d*(d - 1)**2
Let i(c) = 3*c + 30. Let v be i(-10). Find q, given that 10/3*q**2 + 4/3*q + v = 0.
-2/5, 0
Let v = 893/708 + -2/177. Let q(w) be the first derivative of 2 - w + v*w**4 + 11/4*w**2 - 19/6*w**3. Solve q(s) = 0 for s.
2/5, 1/2, 1
Suppose 5*c = u + c - 15, -3 = c. Factor p + 1/2*p**2 - 3/2*p**u + 0.
-p*(p - 1)*(3*p + 2)/2
Let j = -183 + 550/3. Determine x, given that -1/3*x + 0 - 2/3*x**2 + 2/3*x**4 + j*x**3 = 0.
-1, -1/2, 0, 1
Let y(f) be the second derivative of f**8/5880 + f**7/1470 + f**6/1260 - 7*f**3/6 - 6*f. Let v(p) be the second derivative of y(p). Solve v(h) = 0.
-1, 0
Suppose 2*d = -3*t + 10, -2*d + 3*t + 8 = 5*t. Determine v so that -d*v**3 + 2*v**2 + 0*v**2 - 3*v**2 - 3*v**2 = 0.
-2, 0
Let h(v) be the second derivative of 0*v**2 + v + 1/20*v**5 + 0*v**4 - 1/6*v**3 + 0. Determine q, given that h(q) = 0.
-1, 0, 1
Let y be (-400)/160 + 0 + 0 + 3. Factor 1/4 - y*b + 1/4*b**2.
(b - 1)**2/4
Let w(z) be the second derivative of 0 + 0*z**2 + 1/12*z**3 - 2*z + 1/48*z**4. Solve w(n) = 0.
-2, 0
Let j be (-2)/20 + 1/10. Determine l so that 0 + j*l - 1/3*l**2 = 0.
0
Let a(g) be the first derivative of 2*g**2 - 2 + 1/4*g**4 + 0*g - 4/3*g**3. Solve a(x) = 0.
0, 2
Let i(k) = 19*k - 13. Let q(w) = 9*w - 6. Let s(o) = -6*i(o) + 13*q(o). Let p(t) = -t**3 - t**2 - 3*t + 1. Let m(z) = -3*p(z) - 4*s(z). Factor m(f).
3*(f - 1)*(f + 1)**2
Suppose 2*l + 2*l = 12. Factor -3*k**3 + 3*k - 3*k + k**l + 2*k.
-2*k*(k - 1)*(k + 1)
Let b(d) = 14*d**3 + 15*d**2 - 21*d - 11. Let r(y) = -28*y**3 - 31*y**2 +