third derivative of -q**6/180 + q**4/12 + 5*q**3/6 + 5*q**2. Let h(l) be the first derivative of p(l). Factor h(u).
-2*(u - 1)*(u + 1)
Let w(p) be the third derivative of -p**8/1848 + 8*p**2. Solve w(q) = 0.
0
Suppose -12*o + 6 + 18 = 0. Solve 4/3*a**3 + 5/3*a**o + 0 + 1/3*a = 0.
-1, -1/4, 0
Let w(h) = -h**3 - h**2 - 3 + 2 + h**3 + h**4. Let l(b) = -6*b**4 - 3*b**3 + 7*b**2 + 3*b + 1. Let t(n) = l(n) + 2*w(n). Factor t(u).
-(u - 1)*(u + 1)**2*(4*u - 1)
Let c(v) = v**3 - v**2 - v - 1. Let d(w) = 8*w**3 + 27*w**2 + 57*w + 37. Let q(p) = -3*c(p) + d(p). Factor q(t).
5*(t + 2)**3
Let w(d) be the third derivative of d**6/24 - d**5 - 59*d**2. Solve w(s) = 0 for s.
0, 12
Let f(i) = 76*i**2 - 208*i + 100. Let u(x) = 7*x**2 - 19*x + 9. Let g(t) = 3*f(t) - 32*u(t). Factor g(z).
4*(z - 3)*(z - 1)
Let d be (-2)/(-1)*(-235)/10. Let b = 142/3 + d. Find u, given that 0*u + 1/3 - b*u**2 = 0.
-1, 1
Let m be ((3 - 3) + 0)/(-3 - -2). Let k = -14 + 44/3. Solve 0*z + 0 + 1/3*z**5 - k*z**4 + m*z**2 + 1/3*z**3 = 0.
0, 1
Let g(s) be the first derivative of -2*s**3/27 + 2*s**2/3 - 10*s/9 - 10. Factor g(u).
-2*(u - 5)*(u - 1)/9
Factor -1 + 5/2*b - 2*b**2 + 1/2*b**3.
(b - 2)*(b - 1)**2/2
Let r(a) be the first derivative of 2*a**5/5 - a**4/2 - 2*a**3/3 + a**2 - 9. Let r(c) = 0. Calculate c.
-1, 0, 1
Suppose 6*z - 3*z + 12 = 0. Let i(b) = -5*b**2 - 3*b - 1. Let t(u) = -6*u**2 - 4*u - 2. Let s(d) = z*i(d) + 3*t(d). Let s(v) = 0. Calculate v.
-1, 1
Let k(a) = 15*a**4 + 30*a**3 + 27*a**2 - 12. Let b(w) = 6*w**4 + 12*w**3 + 11*w**2 - 5. Let m(i) = 12*b(i) - 5*k(i). Solve m(q) = 0.
-1, 0
Let t(d) be the second derivative of -d**7/105 + 2*d**6/75 + d**5/50 - d**4/15 + 7*d - 2. Determine a so that t(a) = 0.
-1, 0, 1, 2
Let s(r) be the second derivative of -1/20*r**5 - 2*r + 1/42*r**7 - 1/12*r**4 + 0*r**3 + 1/30*r**6 + 0*r**2 + 0. Find g such that s(g) = 0.
-1, 0, 1
Let y(j) = -9*j**2 - 18*j - 17. Let n(u) = -u**2 - 2*u - 2. Let a(t) = -51*n(t) + 6*y(t). Find b, given that a(b) = 0.
-2, 0
Let t(u) be the third derivative of -u**6/120 + u**5/20 - u**4/8 - u**3/3 - u**2. Let b(d) be the first derivative of t(d). Find q, given that b(q) = 0.
1
Let h(j) be the first derivative of -2*j**5/35 - 2*j**4/7 - 10*j**3/21 - 2*j**2/7 - 26. Factor h(t).
-2*t*(t + 1)**2*(t + 2)/7
Let n = -2 - -4. Suppose -n*h = 3*h - 10. Factor -1/4 - 1/2*x - 1/4*x**h.
-(x + 1)**2/4
Suppose -3*a + 4*a = -7. Let d(y) = -y**3 - 6*y**2 + 7*y + 3. Let l be d(a). Let -3*h**2 + 4*h**3 + 2*h**2 - 5*h**l = 0. Calculate h.
-1, 0
Let o be -5 - (1 + (-3)/(-3)). Let g = o - -7. What is k in 1/4*k**3 + 0*k + 0*k**2 + g = 0?
0
Suppose 0*l + r = 4*l - 11, 2*l - r - 3 = 0. Suppose 0*a - 1/4*a**3 - 1/4*a**5 + 0 + 1/2*a**l + 0*a**2 = 0. What is a?
0, 1
Let z = -277/5 + 56. What is n in 3/5 - z*n**2 + 0*n = 0?
-1, 1
Let y(r) = -r**2 - 2*r. Let m(g) = 2*g**2 + 5*g. Let i = 0 + 14. Let u(v) = i*y(v) + 6*m(v). Factor u(q).
-2*q*(q - 1)
Let o(y) be the first derivative of -5*y**4/4 + 5*y**3 + 5*y**2/2 - 15*y + 19. Determine i, given that o(i) = 0.
-1, 1, 3
Let a(d) be the third derivative of -1/1344*d**8 - 1/80*d**6 - 1/60*d**5 - 1/96*d**4 + 0 + 0*d**3 - 1/210*d**7 + 4*d**2 + 0*d. Factor a(k).
-k*(k + 1)**4/4
Let j be 20/15 + (-4)/(-6). Factor j*w**3 + 3 + 2*w**2 + 0*w**3 - 2*w - 5.
2*(w - 1)*(w + 1)**2
Let m be ((-6)/15)/(39/15). Let t = 20/39 - m. Determine r so that 4/3*r**4 + 0*r - t*r**2 + 2/3*r**3 + 0 = 0.
-1, 0, 1/2
Factor 5 + s**2 + 5*s - 6*s**2 + 0*s**2 + 0*s**3 - 5*s**3.
-5*(s - 1)*(s + 1)**2
Suppose -4 = -m, 0 = -5*o - 5*m + 32 - 2. Factor -2/7*j + 6/7*j**o + 10/7*j**4 + 18/7*j**3 + 0.
2*j*(j + 1)**2*(5*j - 1)/7
Let b be (-1 - 20/(-50))*-9. Factor 21/5*k**2 + 9*k + 3/5*k**3 + b.
3*(k + 1)*(k + 3)**2/5
Let y(t) be the second derivative of t**8/336 - t**7/70 + t**6/40 - t**5/60 + 3*t**2/2 - 4*t. Let m(x) be the first derivative of y(x). Factor m(p).
p**2*(p - 1)**3
Let l(y) be the second derivative of y**5/10 - 5*y**4/6 - 2*y**3 + y + 8. Factor l(r).
2*r*(r - 6)*(r + 1)
Let i(t) be the first derivative of t**4/24 + t**3/18 - t**2/12 - t/6 + 16. Factor i(o).
(o - 1)*(o + 1)**2/6
Let f(r) be the third derivative of r**8/1344 - r**6/80 + r**5/30 - r**4/32 - 18*r**2. Find a, given that f(a) = 0.
-3, 0, 1
Let c(p) be the third derivative of p**11/831600 - p**10/189000 + p**9/151200 + p**5/60 + 2*p**2. Let v(z) be the third derivative of c(z). Solve v(j) = 0.
0, 1
Let w(u) = u**2 - u - 1. Let i(a) = -6*a**2 + 10*a + 2. Let l(b) = -i(b) - 2*w(b). Suppose l(q) = 0. What is q?
0, 2
Let k(i) = i + 5. Let t be k(-5). Suppose t*a - a = -4. Factor 7*q**a + q**5 - q**3 - 9*q**4 + 2*q**4.
q**3*(q - 1)*(q + 1)
Suppose -p + 0*p + n - 3 = 0, -3*p = 4*n - 26. Let k(t) be the first derivative of -3/10*t**2 + p - 3/5*t**4 + t**3 + 0*t. Factor k(c).
-3*c*(c - 1)*(4*c - 1)/5
Let x(g) be the first derivative of g**9/1512 - g**8/420 + g**7/420 - g**3/3 - 2. Let w(l) be the third derivative of x(l). Factor w(j).
2*j**3*(j - 1)**2
Factor -1/4*d**4 - 1/4*d**3 + 1/4*d**2 + 0 + 1/4*d.
-d*(d - 1)*(d + 1)**2/4
Let c(k) be the first derivative of 0*k**3 + 0*k**2 + 0*k - 2/5*k**5 - 2 + 1/2*k**4. Factor c(f).
-2*f**3*(f - 1)
Let b(v) be the third derivative of v**8/168 + 8*v**7/105 + 11*v**6/30 + 4*v**5/5 + 3*v**4/4 - v**2 + 13*v. Suppose b(t) = 0. Calculate t.
-3, -1, 0
Let y(k) be the third derivative of k**5/240 + k**4/24 - 13*k**2. Let y(z) = 0. Calculate z.
-4, 0
Let k(t) be the second derivative of -1/12*t**4 - 1/15*t**6 + 0 + 0*t**2 + 1/8*t**5 + 1/84*t**7 + 3*t + 0*t**3. Suppose k(p) = 0. Calculate p.
0, 1, 2
Let d(z) = -3*z**5 - 17*z**4 - 19*z**3 - 11*z**2. Let f(p) = 48*p**5 + 273*p**4 + 303*p**3 + 177*p**2. Let w(r) = -33*d(r) - 2*f(r). Factor w(q).
3*q**2*(q + 1)**2*(q + 3)
Let h(p) = 5*p**2 + 36*p + 165. Let i(c) = c**2 + 1. Let v(a) = -h(a) + 3*i(a). Suppose v(q) = 0. Calculate q.
-9
Let u(s) = s + 2*s + 1 - s**3 - 3*s - s. Let f(t) = t**5 - t**4 + 7*t**3 + t**2 + 8*t - 8. Let l(z) = 3*f(z) + 24*u(z). Factor l(q).
3*q**2*(q - 1)**2*(q + 1)
Suppose -3*p - 12 = -5*p. Let w be 74/19 - p/(-57). Suppose 10/9*h**2 + 0 - 10/9*h**w - 2/3*h**3 - 2/9*h + 8/9*h**5 = 0. Calculate h.
-1, 0, 1/4, 1
Let j be (-6)/(-20) + 1/5. Factor 1/2*g**2 + 0 + g - j*g**3.
-g*(g - 2)*(g + 1)/2
Let r(o) be the third derivative of -3*o**2 - 1/330*o**5 + 0*o - 4/33*o**3 - 1/33*o**4 + 0. Let r(t) = 0. Calculate t.
-2
Let k be (3 - (1 + 2))/2. Let p be k/(-2)*(-3 - -4). Determine o so that p*o - 1/3*o**2 + 1/3 = 0.
-1, 1
Let i(a) be the third derivative of -a**5/15 + 2*a**3/3 + 2*a**2. Find z, given that i(z) = 0.
-1, 1
Let w(n) = 4*n - 14. Let v be w(4). Determine l so that -4/7*l - 2/7*l**v - 2/7 = 0.
-1
Let m(f) = 3*f - 23. Let a be m(9). Let g(p) be the second derivative of -1/9*p**3 + 0 + 0*p**2 - 1/6*p**a + p. Factor g(o).
-2*o*(3*o + 1)/3
Let a(k) = -4*k**2 + 30*k - 126. Let f(x) = 5*x**2 - 29*x + 125. Let m(n) = 3*a(n) + 2*f(n). Factor m(g).
-2*(g - 8)**2
Let g(c) be the second derivative of -c**9/5040 - c**8/2240 + c**7/840 + c**6/240 - c**4/2 + 6*c. Let x(f) be the third derivative of g(f). Factor x(u).
-3*u*(u - 1)*(u + 1)**2
Let s(h) be the second derivative of h**7/3360 - h**6/1440 - h**5/480 + h**4/96 - h**3/2 + h. Let m(o) be the second derivative of s(o). Factor m(j).
(j - 1)**2*(j + 1)/4
Let u = 26 - 24. Let x(g) be the third derivative of 1/1344*g**8 - 2*g**u - 1/48*g**4 + 0*g + 1/80*g**5 - 1/280*g**7 + 0 + 0*g**3 + 1/480*g**6. Factor x(p).
p*(p - 2)*(p - 1)**2*(p + 1)/4
Suppose 2*m = 3*a + m - 10, 3*m = a + 2. Let -27*g**4 - 9*g**3 + 30*g**4 - 3*g - a*g**2 + 13*g**2 = 0. Calculate g.
0, 1
Let r(i) be the second derivative of 0*i**2 + 0 + 6*i + 1/120*i**5 - 1/72*i**4 + 1/180*i**6 - 1/36*i**3. Factor r(c).
c*(c - 1)*(c + 1)**2/6
Let -36*v**2 - 5 + 4*v**4 + 244*v - 11 + 4*v**3 - 200*v = 0. Calculate v.
-4, 1
Suppose 4/7*t**5 + 72/7*t**3 - 30/7*t**4 - 12/7*t + 18/7 - 52/7*t**2 = 0. Calculate t.
-1/2, 1, 3
Let k(w) be the first derivative of 4*w**5/5 - 32*w**4 + 512*w**3 - 4096*w**2 + 16384*w - 28. Factor k(g).
4*(g - 8)**4
Let 2/3*a**3 + 0 + 2/9*a**4 - 2/9*a**2 - 2/3*a = 0. What is a?
-3, -1, 0, 1
Determine q, given that 30/11*q**3 - 24/11 + 10/11*q**2 - 32/11*q + 14/11*q**4 + 2/11*q**5 = 0.
-3, -2, -1, 1
Let q(r) be the third derivative of -4/3*r**3 - 1/30*r*