*l - 6*l**3 + 4/5*l**s - l**4 - 4*l**2. Solve o(g) = 0 for g.
-1, -1/4, 2
Let s(z) be the third derivative of -z**7/11340 + z**6/810 - z**5/180 + 7*z**4/6 + 23*z**2. Let f(y) be the second derivative of s(y). Factor f(i).
-2*(i - 3)*(i - 1)/9
Let p(x) be the third derivative of 0*x - 1/12*x**4 + 1/45*x**5 + 6*x**2 - 1/540*x**6 - 2/3*x**3 + 0. Let w(g) be the first derivative of p(g). Factor w(u).
-2*(u - 3)*(u - 1)/3
Let g = 558 + -551. Let f(k) be the first derivative of -g + 0*k - 3/16*k**4 + 0*k**2 + 0*k**3 + 3/20*k**5. What is c in f(c) = 0?
0, 1
Solve 9/5*a**5 + 0 - 2/5*a - 11/5*a**3 + 3*a**4 - 11/5*a**2 = 0.
-2, -1/3, 0, 1
Let i(m) = 2*m**4 - 4*m**3 + 10*m**2 + 16*m + 12. Let b(o) = 3*o**4 - 4*o**3 + 11*o**2 + 16*o + 13. Let p(h) = -4*b(h) + 5*i(h). Factor p(r).
-2*(r - 2)*(r + 1)**2*(r + 2)
Suppose 0 = 5798*i - 5799*i. Let g(n) be the third derivative of -1/90*n**5 + i*n - 5/36*n**4 - 8*n**2 - 1/3*n**3 + 0 + 1/180*n**6. Factor g(p).
2*(p - 3)*(p + 1)**2/3
Factor -18*b - 273*b**2 + 2*b**3 + 154*b**2 + 135*b**2.
2*b*(b - 1)*(b + 9)
Let o(v) = 4*v**4 - 16*v**3 + 44*v**2 + 52*v. Suppose 5*p - 3*c = -51, 4*p + 49 - 10 = 3*c. Let d(m) = m**3 + m**2 - m. Let a(t) = p*d(t) + o(t). Factor a(u).
4*u*(u - 4)**2*(u + 1)
Let l be -4 - -11 - 321/3. Let v be (l/125)/((-26)/10 + 2). Find u, given that -2/3*u**3 + v*u + 0 - 2*u**2 - 2/3*u**5 + 2*u**4 = 0.
-1, 0, 1, 2
Let p(i) = i**3 + 5*i**2 - 4*i + 14. Let c be p(-6). Suppose c*x + 5*u = 4*x - 199, x - 92 = u. Suppose 5*r**2 + 36*r + 80 + x*r - 83*r = 0. What is r?
-4
Let b(x) be the first derivative of -x**6/6 - 2*x**5/5 + 3*x**4/4 + 8*x**3/3 + 2*x**2 - 52. Factor b(f).
-f*(f - 2)*(f + 1)**2*(f + 2)
Let y(q) = -q**3 + 6*q**2 - 4*q. Let g be y(5). Let c = 1076 - 1032. Factor -3 + 34*s**4 - 3 + c*s**2 + 3 + g - 16*s - 8*s**5 - 56*s**3.
-2*(s - 1)**4*(4*s - 1)
Suppose 2*i = -l + 4*l + 23, 2*i + 17 = -5*l. Let p(h) be the first derivative of 0*h - 1/4*h**i - h**3 - h**2 - 4. What is s in p(s) = 0?
-2, -1, 0
Let a be 76/52 + (-16 - (-14 - 1)). Let -2/13*m**2 - a + 8/13*m = 0. What is m?
1, 3
Let v be (-405)/1134*40/(-25). Let q be (-2)/7 - 2/(-7). Factor q*w + 2/7*w**3 + 0 - v*w**2.
2*w**2*(w - 2)/7
Let o(a) be the first derivative of -a**5/4 + 13*a**4/16 - 3*a**3/4 - a**2/8 + a/2 + 798. Factor o(b).
-(b - 1)**3*(5*b + 2)/4
Suppose -5*c + 9 = -21. Suppose 5*k + 15 = 3*n, 3*n = -n - 2*k - c. Factor 0*i**2 - 1/4*i**4 + 0*i + n + 1/4*i**3.
-i**3*(i - 1)/4
Let v(g) = -3*g**2 - 66*g - 426. Let f(b) = 3*b**2 + 65*b + 425. Let l(u) = 6*f(u) + 7*v(u). Factor l(a).
-3*(a + 12)**2
Let g(k) be the second derivative of 49*k**5/15 - 91*k**4/24 + 5*k**3/3 - k**2/3 - 84*k. Solve g(o) = 0.
1/8, 2/7
Let y(m) be the second derivative of -m**6/6 - 2*m**5 - 95*m**4/12 - 10*m**3 - 270*m. Find q such that y(q) = 0.
-4, -3, -1, 0
Let j = -3 - -6. Let r(m) be the first derivative of -4*m**3 + m + 3*m**j - m**2 - 4 + 0*m**3. Factor r(i).
-(i + 1)*(3*i - 1)
Let b(v) be the third derivative of v**5/540 - 5*v**4/108 + 7*v**3/18 + 172*v**2. Suppose b(m) = 0. Calculate m.
3, 7
Let y(l) be the first derivative of l**7/14 - 9*l**6/20 + 17*l**5/20 - 2*l**3 + 3*l**2 + 8. Let h(w) be the second derivative of y(w). Solve h(f) = 0.
-2/5, 1, 2
Let g(x) = -7*x**2 - 24*x - 32. Let f(q) = 36*q**2 + 120*q + 160. Let t(d) = -3*f(d) - 16*g(d). Factor t(i).
4*(i + 2)*(i + 4)
Let 48*k + k**3 + 12 - 24*k - 48 + 11*k**2 = 0. Calculate k.
-6, 1
Solve -9529569*n - 194481/2*n**2 - 1400846643/4 - 3/4*n**4 - 441*n**3 = 0 for n.
-147
Let o(b) be the first derivative of -2*b**5/25 + 7*b**4/10 - 34*b**3/15 + 17*b**2/5 - 12*b/5 - 171. Determine s, given that o(s) = 0.
1, 2, 3
Let l(v) = v**3 - 2*v**2 - 4*v - 1. Suppose -s = 2*s - 12. Let x be l(s). Determine p so that x*p**3 - 2*p**2 - 9*p**4 - p - p**2 - 2*p = 0.
-1/3, 0, 1
Let p(m) be the second derivative of -3*m**5/5 - 46*m**4/3 + 22*m**3 + 32*m**2 + 16*m + 1. Find w, given that p(w) = 0.
-16, -1/3, 1
Let q(z) = -6*z**2 + 18*z + 10. Let b(a) = 5*a**2 - 19*a - 12. Let r(g) = -7*b(g) - 6*q(g). What is j in r(j) = 0?
-24, -1
Factor 22/15*j - 14/15*j**2 - 2/3 + 2/15*j**3.
2*(j - 5)*(j - 1)**2/15
Let s be ((-9)/2 - -4)*0. Let m(q) be the first derivative of -3 + s*q**3 + 1/10*q**4 - 1/5*q**2 + 0*q. Let m(t) = 0. What is t?
-1, 0, 1
Let p(b) = -b**2 + 23*b + 52. Let s be p(25). Let i(r) be the second derivative of 0*r**s - 1/9*r**3 + 0 + 1/18*r**4 + 5*r. Factor i(u).
2*u*(u - 1)/3
Let r(a) = 9*a - 19. Let l be r(2). Let k be l/3*(-6 - -5). Find x such that -x - k - 1/3*x**3 - x**2 = 0.
-1
Let p(g) be the first derivative of -g**2 + 1/2*g**4 - 1/2*g**3 - 1/10*g**5 + 2*g - 8. Factor p(y).
-(y - 2)**2*(y - 1)*(y + 1)/2
Let y(z) be the first derivative of -1/50*z**5 + 0*z + 2/15*z**3 + 27 + 0*z**2 + 0*z**4. Let y(h) = 0. Calculate h.
-2, 0, 2
Let f = -1170 + 1174. Let q(u) be the first derivative of 1/10*u**5 + 1/4*u**f + 0*u**3 - 1/2*u - 1/2*u**2 + 9. Factor q(g).
(g - 1)*(g + 1)**3/2
Let q(d) be the second derivative of d**4/3 - 32*d**3/3 + 110*d**2 - 95*d. Let q(i) = 0. What is i?
5, 11
Let l = 20 - 1. Suppose -3*j - 2*k - l = 3*k, 5*j - 4*k - 30 = 0. Factor 1/5*n**j + 0 - 1/5*n.
n*(n - 1)/5
Let h = 26 + -21. Factor 0*i**4 + 4*i**h - 28*i**2 + 24*i**3 + 8*i + 12*i**3 - 20*i**4.
4*i*(i - 2)*(i - 1)**3
Factor -w + 0 + 4/3*w**2 - 1/3*w**3.
-w*(w - 3)*(w - 1)/3
Suppose 2*b - 23 = 3*y, 3*b - 2*b - 5 = -5*y. Let c(p) = 5*p**2 + 15*p. Let u(k) = k**2. Let l(q) = b*u(q) - c(q). Determine i so that l(i) = 0.
0, 3
Let m(x) be the first derivative of x**4/36 + 5*x**3/27 + x**2/9 - 8*x/9 + 142. Solve m(c) = 0.
-4, -2, 1
Let l(f) = f**2 - 10*f - 171. Let x be l(19). Let n(a) be the first derivative of 3 - 2*a + x*a**2 + 2/3*a**3. Factor n(y).
2*(y - 1)*(y + 1)
What is u in -72*u**2 + 12*u**3 + 1287 + 3*u**4 - 48*u**3 + 972*u + 900 + 18*u**2 = 0?
-3, 9
Factor 14*d**2 + 50*d**5 + 13*d**2 - 27*d**2 - 21*d**4 + 30*d**3 - 47*d**5.
3*d**3*(d - 5)*(d - 2)
Let j(z) be the second derivative of -3*z**5/140 + 29*z**4/84 - z**3 + 8*z**2/7 + 3*z + 4. Factor j(o).
-(o - 8)*(o - 1)*(3*o - 2)/7
Let d(j) be the first derivative of -2*j**3/3 + 26*j**2 - 50*j + 125. Factor d(w).
-2*(w - 25)*(w - 1)
Let z(p) = p**2 + 7*p + 8. Let h be z(-6). Let o be h/3 + ((-1)/6 - 0). Solve 0*b**2 - 1/4*b**4 + 0*b + 0 + o*b**3 = 0 for b.
0, 2
Suppose 0 = 4*r - 3*r - 9. Let o be 2 - (-4)/(12/r). Factor 0*k + 4*k**2 + 2*k - o + 2 - 3*k**2.
(k - 1)*(k + 3)
Let i(u) be the second derivative of 1/4*u**4 + 1/20*u**6 - 21/80*u**5 + 0*u**2 + 0 + 0*u**3 + 4*u + 1/56*u**7. Let i(n) = 0. Calculate n.
-4, 0, 1
Let a(s) be the first derivative of 2*s**5/45 - s**4/6 - 2*s**3/9 + 7*s**2/9 + 4*s/3 + 217. Suppose a(d) = 0. What is d?
-1, 2, 3
Let y(t) be the first derivative of -14 + 3*t**5 - 5*t + 5/2*t**4 + 5/6*t**6 - 10/3*t**3 - 15/2*t**2. Determine b, given that y(b) = 0.
-1, 1
Find x such that 7 + 6*x - 4*x + x + 9*x**3 - 7 + 9*x**2 + 3*x**4 = 0.
-1, 0
Let c(j) = 4*j**5 - 21*j**4 + 16*j**3 + 8*j**2 - 25*j + 8. Let g(t) = 4*t**5 - 20*t**4 + 16*t**3 + 8*t**2 - 24*t + 8. Let p(w) = -4*c(w) + 5*g(w). Factor p(x).
4*(x - 2)*(x - 1)**3*(x + 1)
Let t be (11/(-3))/((-2)/6). Let q = t - 8. Factor -3*p**2 + 0*p**2 + 2 - 3*p + 6*p + 1 - 3*p**q.
-3*(p - 1)*(p + 1)**2
Let w be (-8)/(-3 + 20/8). Determine a, given that 24*a**2 - 16*a - w*a**3 + 4 + 1 + 0 + 4*a**4 - 1 = 0.
1
Let y be (616/352)/(14/4). Factor 1/2*a**2 + a + 0 - y*a**3.
-a*(a - 2)*(a + 1)/2
Factor -25/2 - 85/2*p - 53*p**2 - 1/2*p**5 - 29*p**3 - 13/2*p**4.
-(p + 1)**3*(p + 5)**2/2
Suppose -2*t + 81 = 7*t. Suppose -25 - 2 = -t*p. Factor s + 1/2*s**2 + 0 - 1/2*s**p.
-s*(s - 2)*(s + 1)/2
Let s be 36/70 - 8/(-28). Let p be ((1152/56)/(-9))/((-60)/42). Solve s*o**2 + 0 + p*o = 0 for o.
-2, 0
Let j(t) be the second derivative of t**7/210 - 13*t**6/360 + t**5/30 + 2*t**4 - 16*t. Let p(g) be the third derivative of j(g). Factor p(z).
2*(z - 2)*(6*z - 1)
Let i(y) = 5*y**2 + 10*y. Let u = 0 + -1. Let p(n) = 102*n - 49*n - 54*n. Let h(a) = u*i(a) - 5*p(a). Determine o so that h(o) = 0.
-1, 0
Let c be (-2)/(-16) - 18696/(-39360). Factor 0*p**2 - 3/5*p + c*p**3 + 0.
3*p*(p - 1)*(p + 1)/5
Let v be (-1050)/(-100) + -8*1. Let q = -4 - -6. Factor -1 + v*z - q*z**2 + 1/2*z**3.
(z - 2)*(z - 1)**2/2
Let t be (6/8)/(14/(-168)). Let g be (-4