1/3*r**v + 0 + 1/12*r**4 + 3*r. Factor n(g).
g*(g - 2)
Let f(w) be the third derivative of -1/135*w**5 - w**2 + 0 + 0*w + 0*w**3 + 1/108*w**6 + 0*w**4. Let f(p) = 0. What is p?
0, 2/5
Let b(l) = l**2 - l - 1. Let h(k) = -k**2. Let r be h(-1). Let c = 10 - 7. Let v(p) = 2*p**2 - 5*p - 3. Let u(x) = c*b(x) + r*v(x). Factor u(t).
t*(t + 2)
Let i be 10/(-36) - (-2)/4. Let d = 1/9 + i. Factor -1/3*z - d*z**2 + 0.
-z*(z + 1)/3
Let g(x) be the first derivative of 3*x**4/22 - 4*x**3/33 + 6. Factor g(s).
2*s**2*(3*s - 2)/11
Factor 0*f**4 + 0 - 1/4*f**3 + 0*f**2 + 1/8*f**5 + 1/8*f.
f*(f - 1)**2*(f + 1)**2/8
Suppose -12 = -2*z + z. Factor w**3 - z - w**4 + 12.
-w**3*(w - 1)
Let y(r) be the second derivative of -r**6/165 - r**5/55 + r**4/22 + 4*r**3/33 - 4*r**2/11 + 5*r. Solve y(c) = 0.
-2, 1
Suppose 0 = 4*c - 6*c + 4. Factor -2*d**4 - 2*d**4 + 18*d**3 + 24*d + 7*d**4 + 36*d**c.
3*d*(d + 2)**3
Let h(d) be the second derivative of -3*d**5/20 - 5*d**4/4 + 3*d**3 - 10*d. Factor h(j).
-3*j*(j - 1)*(j + 6)
Factor 2*q**2 + 17*q**2 - 6*q**2 + 4 - 16*q - 3*q**3.
-(q - 2)**2*(3*q - 1)
Factor 13/3*g**2 - 4*g + 1/3*g**4 + 4/3 - 2*g**3.
(g - 2)**2*(g - 1)**2/3
Let n(u) be the second derivative of -u**6/1080 - u**5/180 + u**3/6 - u. Let w(s) be the second derivative of n(s). Find j, given that w(j) = 0.
-2, 0
Suppose -2*b + 12 = 8. Let z(a) be the third derivative of 0*a + 0*a**4 + 1/24*a**6 + 0*a**3 + 0 + 1/30*a**5 + b*a**2. Let z(v) = 0. What is v?
-2/5, 0
Let i be -3*8 + 0/3. Let v be ((-6)/(-4))/(i/(-12)). Factor -v*c**3 - 15/4*c - 3*c**2 - 3/2.
-3*(c + 1)**2*(c + 2)/4
Suppose -33*i - 9*i**2 - 2 - i**3 + 26*i - 4*i**3 - i**4 = 0. Calculate i.
-2, -1
Suppose 25 = 7*i - 3. Let o(y) be the third derivative of 0*y**3 - 2*y**2 + 0*y + 0 + 1/3*y**i - 2/15*y**5 + 1/60*y**6. Factor o(k).
2*k*(k - 2)**2
Let z = 1 + -1. Let u = -4 + 8. Suppose 0*b - 2*b**u - b**5 - b**3 + z*b = 0. Calculate b.
-1, 0
Let b = 14 - 14. Let p(r) be the third derivative of 0*r**3 - 1/36*r**4 - 1/180*r**6 - r**2 - 1/45*r**5 + b + 0*r. What is q in p(q) = 0?
-1, 0
Let w(s) = s**3 + 8*s**2 + 5*s + 3. Let q be w(-7). Factor 18*f - q*f - 2*f**3 + f**3.
-f*(f - 1)*(f + 1)
Let j(b) be the third derivative of 0*b**4 + 0*b**5 + 1/210*b**6 - 7*b**2 + 1/1176*b**8 + 0 + 0*b + 0*b**3 + 1/245*b**7. Factor j(k).
2*k**3*(k + 1)*(k + 2)/7
Factor -1/11*x**4 + 1/11*x**2 - 2/11*x**3 + 2/11*x + 0.
-x*(x - 1)*(x + 1)*(x + 2)/11
Let w(n) = -n**3 - n**2 - n. Let z(r) = -3*r**4 + 15*r**3 + 18*r**2 + 18*r. Let p(a) = -18*w(a) - z(a). Solve p(g) = 0 for g.
-1, 0
Factor -12*v + 6*v**3 + 3*v**4 + 4*v**2 + 10 - 13*v**2 + 2.
3*(v - 1)**2*(v + 2)**2
Let g(j) = -2*j. Let m be g(-1). Factor -b**2 + 0*b + 2*b**m - 3*b.
b*(b - 3)
Let l(q) be the third derivative of -q**8/1008 + q**6/180 - q**4/72 + 5*q**2. Factor l(t).
-t*(t - 1)**2*(t + 1)**2/3
Let q(x) be the third derivative of -x**6/240 + x**4/12 - 32*x**2. Factor q(h).
-h*(h - 2)*(h + 2)/2
Let h(a) be the third derivative of a**8/224 - a**7/140 - a**6/16 + a**5/40 + a**4/2 + a**3 - 7*a**2. Suppose h(y) = 0. What is y?
-1, 2
Suppose 8*p = 3*p + 40. Let -4*s**2 - p*s**2 + 2*s**2 + 2*s**2 + 6*s**3 - 8*s = 0. What is s?
-2/3, 0, 2
Suppose -3*b = -4*o + 21, 2*b = 5*o + 4*b - 9. Let i(u) be the first derivative of 0*u + 2*u**2 - 3 + 2/3*u**o. Factor i(g).
2*g*(g + 2)
Let k(y) = -156*y**2 + 66*y - 2. Let u(a) = -a**2 + a - 1. Let p be (12/(-10))/((-2)/(-10)). Let o(m) = p*u(m) - k(m). Find w such that o(w) = 0.
2/9
What is v in 2*v**4 + 53*v**2 + 10*v**3 + 52*v**2 - 97*v**2 = 0?
-4, -1, 0
Let v(j) = -j**2 + 5*j + 8. Let z be v(6). Suppose -2*x**3 - 2*x + 2*x**z + 2*x**2 + 0*x**3 = 0. What is x?
0, 1
Let k(v) be the third derivative of v**9/100800 + v**8/33600 + v**5/30 + v**2. Let r(b) be the third derivative of k(b). Suppose r(x) = 0. What is x?
-1, 0
Let q(o) = 4*o + 24. Let v be q(-6). Let a(l) be the third derivative of 0*l**3 - 1/36*l**4 + v*l + 0 - 3*l**2 - 1/20*l**5. Let a(f) = 0. Calculate f.
-2/9, 0
Let j = 21 - 12. Suppose 5*v = -0*p + 2*p + j, 4*v - 15 = -p. Let -2/7*f - 4/7*f**2 + 2/7*f**4 + 2/7 + 4/7*f**v - 2/7*f**5 = 0. Calculate f.
-1, 1
Let w = 1/25 - -4/25. Factor 0*u - 3/5*u**3 - w*u**2 - 3/5*u**4 + 0 - 1/5*u**5.
-u**2*(u + 1)**3/5
Let j(d) be the first derivative of d**5/5 - 3*d**4/4 + d**3 - d**2/2 - 1. Solve j(a) = 0 for a.
0, 1
Let d(z) = z**2 + 1. Let a = 11 - 6. Let b(m) = -3*m**2 - 5. Let v(f) = a*d(f) + b(f). Find u such that v(u) = 0.
0
Let q(a) = a**3 - 8*a**2 + 9*a + 6. Let w be q(7). Suppose 0 = n - 3, 4*z + 5*n + 5 = w. Determine l so that 2/3*l**2 + z + 2/3*l = 0.
-1, 0
Let g(w) be the first derivative of -w**4 - 20*w**3/3 - 6*w**2 + 36*w - 4. Factor g(m).
-4*(m - 1)*(m + 3)**2
Suppose -5*y = t - 19, 20 = -0*y + 4*y - 4*t. Suppose -4/3*r**3 + 0*r**2 + 2/3*r**y + 4/3*r - 2/3 = 0. What is r?
-1, 1
Let y be (-1 - (-18)/16)/(1/2). What is u in 1/4 + 1/4*u**3 - 3/4*u**2 - y*u + 1/2*u**4 = 0?
-1, 1/2, 1
Factor 0*i**2 + 1/4*i**4 + 1/2*i**3 - 1/4 - 1/2*i.
(i - 1)*(i + 1)**3/4
Suppose -5*j - 6 = 4*g, 11*j + 5*g + 22 = 12*j. Factor 3/5*i - 2/5 - 1/5*i**j.
-(i - 2)*(i - 1)/5
Let m be 4/(-6) - (-6)/9. Solve 2/5*g**2 - 2/15*g**4 - 4/15*g + m + 0*g**3 = 0 for g.
-2, 0, 1
Let b(t) be the second derivative of t**6/270 + t**5/90 + t**4/108 + 10*t. Factor b(q).
q**2*(q + 1)**2/9
Let g = 53 - 50. Let v(w) be the third derivative of -1/60*w**6 + 0*w + 0*w**4 + 0*w**g + 0 - 2*w**2 + 1/168*w**8 + 0*w**5 + 0*w**7. Solve v(z) = 0 for z.
-1, 0, 1
Let s(l) = 5*l**2 + 9*l - 7. Let u(y) be the first derivative of -2*y**3/3 - 2*y**2 + 3*y + 1. Let r(w) = 3*s(w) + 7*u(w). Factor r(a).
a*(a - 1)
Let b(f) = -5*f**2 + 7*f - 9. Let u(s) be the second derivative of -1/2*s**3 + 2*s**2 + 1/6*s**4 - s + 0. Let r(k) = 3*b(k) + 7*u(k). Factor r(p).
-(p - 1)*(p + 1)
Let i(y) = 4*y + 0*y**2 + 3*y**2 + 1 - 2*y**2 - 6*y**2. Let v(k) = -4*k**2 + 4*k. Let h(n) = 2*i(n) - 3*v(n). Let h(c) = 0. Calculate c.
1
Let z(q) be the third derivative of -q**8/392 + 16*q**7/735 - 23*q**6/420 - q**5/35 + q**4/3 - 8*q**3/21 + q**2. Solve z(f) = 0.
-1, 1/3, 2
Let b(z) be the first derivative of 6*z**2 + 1 + 8*z + 0*z**5 + 1/6*z**6 - 2/3*z**3 - 7/4*z**4. Factor b(h).
(h - 2)**2*(h + 1)**2*(h + 2)
Factor 0 - 3/5*g - 7/5*g**2.
-g*(7*g + 3)/5
Let b(d) be the first derivative of -d**7/105 + d**6/30 - d**5/30 + 3*d**2/2 + 1. Let h(w) be the second derivative of b(w). Factor h(z).
-2*z**2*(z - 1)**2
Factor 2*v**2 + 4/3*v**3 + 2/9*v**4 + 0 + 0*v.
2*v**2*(v + 3)**2/9
Let q be 1534/2366 - (-6)/14. Let 4/13 + q*r**2 - 14/13*r - 4/13*r**3 = 0. What is r?
1/2, 1, 2
Let d(p) = p + 9. Let a be d(-7). Factor x + x**a + 1 - 4 + 3.
x*(x + 1)
Let 0 - 6/11*q**3 + 0*q + 2/11*q**4 + 0*q**2 = 0. Calculate q.
0, 3
Let r be 3/(-30)*(5 - (3 - -6)). Determine k so that r*k**2 + 2/5 + 4/5*k = 0.
-1
Let l(z) be the second derivative of 5*z + 1/30*z**4 + 0*z**2 + 0 - 1/15*z**3 - 1/75*z**6 + 1/50*z**5. Let l(f) = 0. Calculate f.
-1, 0, 1
Let s(k) be the third derivative of -3*k**6/8 - 19*k**5/6 + 185*k**4/24 + 25*k**3/3 - 6*k**2. Factor s(r).
-5*(r - 1)*(r + 5)*(9*r + 2)
Suppose -3/4*u**3 + 3/4*u + 0 + 3/8*u**2 - 3/8*u**4 = 0. Calculate u.
-2, -1, 0, 1
Let j(l) be the third derivative of -l**7/350 - l**6/50 - l**5/25 + 7*l**2 - 6. Factor j(u).
-3*u**2*(u + 2)**2/5
Let y(j) be the third derivative of -j**7/105 + j**6/4 - 8*j**5/5 - 16*j**4/3 - 31*j**2. Factor y(s).
-2*s*(s - 8)**2*(s + 1)
Let y(c) = -2*c + 5. Let p be y(0). Let k(i) be the second derivative of -2*i**2 + 1/5*i**6 + 3*i**3 + 2*i - 3/2*i**4 + 0 - 1/10*i**p. Factor k(j).
2*(j - 1)**2*(j + 2)*(3*j - 1)
Let s be 1/1*9/54. Let m(n) be the first derivative of 3/16*n**4 + 1 + s*n**3 - 1/4*n**5 + 0*n + 0*n**2. Factor m(c).
-c**2*(c - 1)*(5*c + 2)/4
Let -8*b**2 - b**4 - 4*b**3 - 3*b**3 - 4*b + 2*b**3 = 0. Calculate b.
-2, -1, 0
Solve -15/2*p - 6*p**2 - 3/2*p**3 - 3 = 0.
-2, -1
Let q = 22 + 3. Let d be 4/(-20) + 80/q. Let -10/3*l**2 + 8/3*l**d + 0 - 2/3*l**4 + 4/3*l = 0. Calculate l.
0, 1, 2
Suppose -2*u + 3*u = 5*u. Factor u*f**2 + 0 + 1/4*f**3 - 1/4*f**4 + 0*f.
-f**3*(f - 1)/4
Let q(f) be the first derivative of 5*f**3/3 + 5*f**2/2 - 10*f - 55. Find m such that q(m) = 0.
-2, 1
Factor 94*k**5 + 8*k**3 + 1 - 1 - 98*k**5 - 4*k.
-4*k*(k - 1)**2*(k + 1)**2
Let y(b) be the second deriva