(w) = 9*w**2 + 93*w + 484. Let r(s) = 14*s**2 + 140*s + 726. Let v(l) = -8*b(l) + 5*r(l). Determine a so that v(a) = 0.
-11
Let m(q) = 2*q - 2. Let r(f) = f - 1. Let t(n) = 2*m(n) - 5*r(n). Let b be t(1). Factor 5 - 4*a + b*a - 5*a**3 - 10*a**2 + 2*a**3 + 3.
-(a + 2)**2*(3*a - 2)
Let h(m) = 2*m + 2. Let f be h(1). Factor 6*s + 7*s**3 + 2*s**4 + 6*s**2 - f + 4*s**4 - 21*s**3.
2*(s - 1)**3*(3*s + 2)
Let n = 0 + 5. Factor 8*f + 7*f + 8 + n*f - 12*f + 2*f**2.
2*(f + 2)**2
Let r(b) = 85*b**3 + 60*b**2 - 85*b - 60. Let i(p) = 7*p**3 + 5*p**2 - 7*p - 5. Let a(o) = -25*i(o) + 2*r(o). Factor a(s).
-5*(s - 1)*(s + 1)**2
Factor -4*l**3 + l**2 - 10*l**2 - 3*l**2 - 12*l + l**3.
-3*l*(l + 2)**2
Let m be 2/12*(-1 + 11). Factor 2/3*y + m*y**2 + 0.
y*(5*y + 2)/3
Determine m so that 18*m**2 + 0 + 6*m**3 + 18*m + 2/3*m**4 = 0.
-3, 0
Find a, given that 98/9*a**5 + 16/9 + 364/9*a**2 - 286/9*a**3 - 56/9*a**4 - 136/9*a = 0.
-2, 2/7, 1
Let j(o) be the third derivative of o**7/84 - o**6/240 - o**5/20 + o**4/6 + 3*o**2. Let l(u) be the second derivative of j(u). Factor l(n).
3*(2*n - 1)*(5*n + 2)
Factor 2*d + 26*d**4 - 21*d**4 + 45*d**2 + 30*d**3 - 2*d.
5*d**2*(d + 3)**2
Let k(f) = -6*f**2 - 10*f + 38. Let y(m) = m**2 - m + 1. Let a(q) = -k(q) - 2*y(q). Let a(n) = 0. What is n?
-5, 2
Let u(c) = -c**4 - 12*c**3 - 12*c**2 - 4*c - 3. Let r(o) = -12*o**3 - 12*o**2 - 4*o - 4. Let p(d) = 3*r(d) - 4*u(d). Factor p(y).
4*y*(y + 1)**3
Suppose -3*l + 4 = l. Let y(r) be the first derivative of 0*r - 1/9*r**2 - l - 2/27*r**3. Suppose y(q) = 0. What is q?
-1, 0
Let y(z) be the second derivative of -z**9/83160 - z**8/12320 - z**7/4620 - z**6/3960 - z**4/12 + 3*z. Let b(w) be the third derivative of y(w). Factor b(a).
-2*a*(a + 1)**3/11
Let k = 69 - 827/12. Let v(m) be the second derivative of m + 0 - 1/40*m**5 + 0*m**2 + k*m**4 - 1/12*m**3. Determine c, given that v(c) = 0.
0, 1
Let v = 17 + -203/12. Let c(k) be the second derivative of 1/6*k**3 - v*k**4 + 0*k**2 + 0 + k. Find w, given that c(w) = 0.
0, 1
Let k(n) be the second derivative of -n**5/80 - n**4/12 - 31*n. Find a, given that k(a) = 0.
-4, 0
Let y(z) be the second derivative of z**4/36 + z**3/18 - z**2/3 - z. Let y(o) = 0. Calculate o.
-2, 1
Let h(i) be the first derivative of -7 + 1/7*i**2 - 2/21*i**3 + 0*i. Factor h(x).
-2*x*(x - 1)/7
Factor -20*b + 43*b - 22*b - b**3.
-b*(b - 1)*(b + 1)
Let z(l) be the second derivative of l**4/12 - 3*l**3/2 + 11*l**2/2 + 4*l. Let v be z(8). Factor 4/7*b**2 + 2/7*b**v - 2/7*b**4 + 0*b + 0.
-2*b**2*(b - 2)*(b + 1)/7
Suppose 7*k = 4*k + 12. Find h, given that -12*h + k - 3*h**2 - 6*h**2 + 2*h**2 = 0.
-2, 2/7
Let b(c) = -2 + 8*c + 2*c**2 + 5*c - 2*c. Let x(r) = -r**2 - 6*r + 1. Suppose 43 - 10 = -3*d. Let v(w) = d*x(w) - 6*b(w). Find p such that v(p) = 0.
-1, 1
Factor 4/3*t + 2/3*t**2 + 0.
2*t*(t + 2)/3
Let d be 2/(-2) + 3512/2860. Let s = d - 3/65. Factor 2/11*k**4 + 0*k + 0*k**2 + s*k**5 + 0 + 0*k**3.
2*k**4*(k + 1)/11
Let d(i) be the third derivative of 1/390*i**5 + 0*i - 9*i**2 - 1/39*i**3 + 1/156*i**4 + 0 - 1/780*i**6. Factor d(q).
-2*(q - 1)**2*(q + 1)/13
Let y be 5 + (-5)/(-15)*(-18)/2. Find u, given that -2*u - 1/4*u**y + 5/4*u**4 + 1/4*u**5 + 7/4*u**3 - 1 = 0.
-2, -1, 1
Let u(w) = 14*w**4 - 25*w**3 - 15*w**2 + 31*w - 5. Let x(v) = -15*v**4 + 25*v**3 + 15*v**2 - 30*v + 5. Let t(b) = -5*u(b) - 6*x(b). Find r such that t(r) = 0.
-1, 1/4, 1
Let u be 4/(4/(-3))*-1. Suppose t**2 - u*t + 0*t + 2*t**2 = 0. Calculate t.
0, 1
Let y(g) = -g**3 - 6*g**2 - 7*g - 7. Let m be y(-5). Factor 2/9*n + 0 - 2/9*n**4 - 2/3*n**2 + 2/3*n**m.
-2*n*(n - 1)**3/9
Let a(g) = 1. Suppose -3*r = r + 4. Let d(n) = -7*n**3 + 2*n**2 + 2. Let l(t) = r*d(t) + 2*a(t). Factor l(v).
v**2*(7*v - 2)
Factor -4/5*z**2 - 4/5*z - 1/5*z**3 + 0.
-z*(z + 2)**2/5
Let u = -3/142 - 1343/284. Let q = 5 + u. Factor o**2 - 3/2*o**3 + o**4 - q*o - 1/4*o**5 + 0.
-o*(o - 1)**4/4
Determine p, given that -6/13*p**2 + 8/13*p + 2/13*p**4 - 4/13*p**3 + 8/13 = 0.
-1, 2
Let n be 16/6 - 10/15. Let -4 + 3*w**2 + n*w + 4*w + 7 = 0. Calculate w.
-1
Suppose 4*d + 1 = 9. What is n in 0*n + 0 - 2/11*n**d = 0?
0
Let b(k) = -14*k**3 + 2*k**2 - 1. Let w be b(-1). Let p be (30/5)/(w/2). Solve 2*v**2 + p + 14/5*v = 0 for v.
-1, -2/5
Let z(n) be the first derivative of -2*n**3/33 - n**2/11 + 21. Solve z(u) = 0 for u.
-1, 0
Suppose -1 = -n, -2*v + 3*n + 6 = v. Let a(o) = o**2 - o - 3. Let s be a(v). Factor 2*k + 4/7 - 4/7*k**2 - 2*k**s.
-2*(k - 1)*(k + 1)*(7*k + 2)/7
Let j(c) = -c**3 + 4*c**2 - 8*c + 10. Let l be j(4). Let n = l - -25. Factor 0*k + 0*k**n + 0*k**2 + 0 - 3/4*k**5 - 1/4*k**4.
-k**4*(3*k + 1)/4
Let r(o) be the second derivative of 0 + 0*o**5 + 0*o**3 - 1/2*o**2 - 1/72*o**4 - 4*o + 1/360*o**6. Let n(s) be the first derivative of r(s). Factor n(f).
f*(f - 1)*(f + 1)/3
Let y(x) = 12*x**2 + 85*x + 181. Let c(t) = -4*t**2 - 28*t - 60. Let l(r) = 11*c(r) + 4*y(r). What is p in l(p) = 0?
-4
Let h = -20 + 23. Suppose -h*p + 5*c + 31 = 0, -2*p - 2*c - 21 = 3*c. Factor -32/7*z**4 - 72/7*z - 8/7 - 144/7*z**3 - 194/7*z**p.
-2*(z + 2)**2*(4*z + 1)**2/7
Factor -2/7*u**2 + 4/7*u - 2/7.
-2*(u - 1)**2/7
Let v be ((-18)/24)/(39/(-16)). Suppose 0*c**4 + 0*c**2 + 0 + v*c**3 - 2/13*c**5 - 2/13*c = 0. What is c?
-1, 0, 1
Let q(o) be the third derivative of 4*o**7/21 + o**6/30 - 13*o**5/15 - o**4/6 + 2*o**3 - 3*o**2. What is v in q(v) = 0?
-1, -3/5, 1/2, 1
Let t = -6 - -8. Factor 6*j**3 + j**2 - 6*j - 3*j**2 - 5*j**2 + 3*j**t + 4.
2*(j - 1)*(j + 1)*(3*j - 2)
Let x(g) = 24*g**3 + 6*g**2 - 11*g + 11. Let b be (-1 + -2)*8/6. Let o(j) = 8*j**3 + 2*j**2 - 4*j + 4. Let w(d) = b*x(d) + 11*o(d). Factor w(s).
-2*s**2*(4*s + 1)
Suppose -9*d = -68 + 41. Factor -1/4 + 5/4*x + 1/4*x**5 - 5/2*x**2 - 5/4*x**4 + 5/2*x**d.
(x - 1)**5/4
Let m = -18 + 11. Let i(j) = -2*j**3 + 8*j**2 - 8*j - 7. Let w(a) = -a**3 - a**2 + 3*a**3 + 8*a - a**2 - 6*a**2 + 6. Let o(l) = m*w(l) - 6*i(l). Factor o(f).
-2*f*(f - 2)**2
Let z(f) = -2*f + 10. Let h(q) = -6*q - 1. Let v be h(-1). Let m be z(v). Solve m*o - 2/3 + 2/3*o**2 = 0 for o.
-1, 1
Suppose -15 = -5*y - 0. Let u(f) be the first derivative of -1/16*f**4 + 0*f + 1 - 1/6*f**y - 1/8*f**2. Solve u(c) = 0.
-1, 0
Let f(d) be the third derivative of d**8/84 + 2*d**7/15 + 19*d**6/30 + 5*d**5/3 + 8*d**4/3 + 8*d**3/3 + 11*d**2. Suppose f(x) = 0. What is x?
-2, -1
Let n = -14 - -17. Let i(c) be the first derivative of -2 - 1/10*c**4 - 2/15*c**n + 0*c**2 + 0*c. Factor i(f).
-2*f**2*(f + 1)/5
Let c be (-273)/728 + 86/144. Factor 4/9*i - c*i**2 + 0.
-2*i*(i - 2)/9
Let b(m) be the second derivative of 5*m**4/12 + 5*m**3/2 + 6*m. Factor b(w).
5*w*(w + 3)
Let m(u) be the second derivative of u**6/210 + 3*u**5/140 - u**4/21 - 8*u. Suppose m(c) = 0. Calculate c.
-4, 0, 1
Let h(j) be the third derivative of -3/112*j**8 + 0*j**3 + 0*j + 1/35*j**7 + 5*j**2 + 0*j**5 + 0*j**6 + 0*j**4 + 0. Determine y so that h(y) = 0.
0, 2/3
Factor -14*j - 3 + 22*j**2 - 1 - 14*j**2.
2*(j - 2)*(4*j + 1)
Let l(s) be the third derivative of 0 + 1/30*s**5 + 0*s**3 - 1/120*s**6 + 0*s - 1/35*s**7 - 3*s**2 + 0*s**4. Determine c so that l(c) = 0.
-2/3, 0, 1/2
Suppose -5 = -3*x + 7. Suppose 2*m + m + 2*s = 22, -x*m + 21 = s. Factor 5/2*u**3 + 6*u + m - 9*u**2.
(u - 2)**2*(5*u + 2)/2
Let k(a) be the third derivative of -3*a**6/220 + 13*a**5/110 - 4*a**4/11 + 4*a**3/11 - 21*a**2. Factor k(n).
-6*(n - 2)**2*(3*n - 1)/11
Let p(c) be the third derivative of -1/20*c**4 - 1/300*c**6 + 3*c**2 + 0*c + 1/15*c**3 + 0 + 1/50*c**5. Factor p(j).
-2*(j - 1)**3/5
Find c, given that 3*c**3 + 2*c**2 + 0*c**2 - c**3 + 0*c**2 = 0.
-1, 0
Let p(v) = -3*v**2 + 7*v + 1. Let w(z) = -4*z**2 + 10*z + 1. Let l(q) = -7*p(q) + 5*w(q). Factor l(j).
(j - 1)*(j + 2)
Let l be -1 + (-7)/(-2) - 2. Let w = 4 + -1. Factor 0*j**2 + 0*j**4 + 0 - j**w + 1/2*j**5 + l*j.
j*(j - 1)**2*(j + 1)**2/2
Let y(u) = -7*u**3 + 7*u**2 + 4*u + 5. Let c(o) = 22*o**3 - 22*o**2 - 12*o - 16. Let j(d) = -5*c(d) - 16*y(d). Factor j(b).
2*b*(b - 2)*(b + 1)
Let p(y) be the second derivative of -25*y**4/12 + 115*y**3/6 + 25*y**2 + 56*y. Factor p(c).
-5*(c - 5)*(5*c + 2)
Let o = 1 - -4. Let u(p) be the third derivative of 0 + 0*p + 0*p**o + 1/36*p**4 - 1/180*p**6 + 0*p**3 - p**2. Factor u(d).
-2*d*(d - 1)*(d + 1)/3
Let k = -7/6 - -3/2. Let r(d) be the