Let y(p) be the first derivative of -g*p**4 + 8/3*p - 2 + 10/9*p**3 + 16/3*p**2. Let y(j) = 0. Calculate j.
-1, -2/7, 2
Let z(b) be the second derivative of 0 + 0*b**3 + 2*b - 1/150*b**6 + 0*b**4 + 0*b**2 + 1/100*b**5. Factor z(n).
-n**3*(n - 1)/5
Factor -a**3 + 0 - 4/3*a**2 + 0*a**4 + 1/6*a**5 - 1/2*a.
a*(a - 3)*(a + 1)**3/6
Let r(j) = 23*j**2 - 17*j + 11. Let x(i) = 3*i**2 - 2*i**2 + 2 + 3*i**2 - 3*i. Let q(t) = 6*r(t) - 34*x(t). Suppose q(a) = 0. What is a?
-1, 1
Let x(v) = 23*v**2 - 37*v - 52. Let k(u) = 8*u**2 - 12*u - 17. Let a(n) = -8*k(n) + 3*x(n). Solve a(r) = 0.
-1, 4
Let k(z) be the first derivative of -3/10*z**2 + 1/15*z**3 + 7 + 2/5*z. Solve k(b) = 0.
1, 2
Determine k, given that 0*k + 0 + 3/5*k**2 = 0.
0
Let f(w) = -4*w**2 - 8*w - 1. Let p(b) = -2 - 8*b**2 - 3*b - 13*b + 1. Let d(s) = -7*f(s) + 3*p(s). Find x, given that d(x) = 0.
-1
Suppose -9 = -2*l - l. Factor 5*y**4 + y**2 + 10*y**l + y**2 - 3*y**3.
y**2*(y + 1)*(5*y + 2)
Suppose 1 + 7 = 5*c + 2*z, 2*z - 6 = -4*c. Suppose 5*v = 15, -5*g = -0*v + c*v - 16. Factor -5*b - g*b**4 + 5*b + 4*b**2 - 2.
-2*(b - 1)**2*(b + 1)**2
Let x = -7 - -7. Let i(g) be the second derivative of 0 - 1/20*g**5 + x*g**3 - 1/30*g**6 - 2*g + 0*g**2 + 0*g**4. Factor i(b).
-b**3*(b + 1)
Let t(n) be the first derivative of -n**6/39 + 8*n**5/65 - 5*n**4/26 + 4*n**3/39 - 10. Let t(b) = 0. Calculate b.
0, 1, 2
Let g be (-341)/93 + 0/2 + 4. Let v(l) be the second derivative of -7/12*l**4 + 7/30*l**6 + 2*l + 0*l**2 + 1/10*l**5 - g*l**3 + 0. Factor v(f).
f*(f - 1)*(f + 1)*(7*f + 2)
Let b(y) be the third derivative of -y**6/80 + y**5/40 + y**4/8 + 4*y**2. Solve b(u) = 0.
-1, 0, 2
Factor 33*r**4 - 3*r**5 + 24 + 25 + 219*r**2 - 1 - 103*r - 65*r - 129*r**3.
-3*(r - 4)**2*(r - 1)**3
Let k be 102/(-1)*(-15 + 16). Let u be 4/(-22) - k/198. Factor u*x**4 - 1/3*x**2 + 0 - 1/3*x + 1/3*x**3.
x*(x - 1)*(x + 1)**2/3
Let g(h) be the second derivative of -h**4/78 + h**3/13 - 2*h**2/13 - 14*h. Factor g(r).
-2*(r - 2)*(r - 1)/13
Let r(w) = 14*w**5 + 12*w**4 + 26*w**3 + 24*w**2 + 20*w. Let j(b) = -b**5 - b. Let l(t) = -12*j(t) - r(t). Factor l(a).
-2*a*(a + 1)**2*(a + 2)**2
Let p(v) be the first derivative of 1/2*v**2 + 0*v**3 + 1/30*v**5 + 0*v + 0*v**4 - 1/120*v**6 + 4. Let j(n) be the second derivative of p(n). Factor j(g).
-g**2*(g - 2)
Suppose 4*z = -8*l + 4*l, 0 = 2*z + 5*l. Factor 0*s**3 + z + 0*s + 1/4*s**4 + 0*s**2.
s**4/4
Let j(x) be the second derivative of 0*x**4 + 1/5*x**5 - x**2 - 2/3*x**3 - 5*x + 0 + 1/15*x**6. Factor j(v).
2*(v - 1)*(v + 1)**3
Let i(p) = p + 8. Let m be i(-3). Let f(w) be the second derivative of 3*w + 0*w**3 + 1/10*w**m + 0 + 0*w**4 + 0*w**2. Factor f(o).
2*o**3
Let 3/2*i - 1/2*i**2 - 1/2*i**4 - 3/2*i**3 + 1 = 0. Calculate i.
-2, -1, 1
Let q(n) = -8 - 3*n - 5 + 4 - 1. Let g be q(-4). Factor 4/3*w + 2/3*w**g + 2/3.
2*(w + 1)**2/3
Let s be (-3)/(2 + 4)*-2. Suppose a + s = 3*v - 8, 5*a + 6 = 2*v. Suppose a*r**4 - 2*r**3 + 0*r**4 - r**4 + r**3 = 0. Calculate r.
-1, 0
Let j(w) be the third derivative of w**5/180 + w**4/48 - w**3/18 - 6*w**2. Factor j(c).
(c + 2)*(2*c - 1)/6
Let g(q) be the first derivative of 1/15*q**4 + 3*q + 3 - 1/6*q**3 + 1/10*q**2. Let n(j) be the first derivative of g(j). Factor n(a).
(a - 1)*(4*a - 1)/5
Let q(m) be the first derivative of m**4/30 - 7*m + 5. Let d(s) be the first derivative of q(s). Factor d(x).
2*x**2/5
Let w(u) be the first derivative of u**5/10 + u**4/2 + u**3 + u**2 - 5*u - 6. Let v(m) be the first derivative of w(m). Factor v(o).
2*(o + 1)**3
Let w be (12/(-18))/((-6)/15). Let -w*j - 2/3 + 5/3*j**3 + 2/3*j**2 = 0. What is j?
-1, -2/5, 1
Let h = -150 + 758/5. Let m(i) be the second derivative of -h*i**5 - 64/15*i**6 - 11/3*i**3 - 3*i + 0 + 6*i**4 + i**2. Factor m(v).
-2*(v + 1)*(4*v - 1)**3
Let o(g) be the second derivative of -g**7/56 - g**6/20 - 3*g**5/80 + 3*g. Factor o(c).
-3*c**3*(c + 1)**2/4
Let v(f) be the second derivative of -f**6/30 + f**4/4 - f**3/3 + 4*f. Factor v(a).
-a*(a - 1)**2*(a + 2)
Factor -1/5*i**5 - 3/5*i**4 + 2/5*i**2 - 2/5*i**3 + 3/5*i + 1/5.
-(i - 1)*(i + 1)**4/5
What is o in 2*o**3 - 5*o**3 + 0*o - o**2 + 2*o**3 + 2*o = 0?
-2, 0, 1
Let b(c) be the third derivative of c**5/150 + c**4/20 - 8*c**2. Let b(i) = 0. Calculate i.
-3, 0
Let p(v) = v**2 + 8*v - 14. Let t be p(-10). Determine o so that -3*o**2 - 4*o**3 - 2*o**2 + 9*o**2 + 2 - 2*o**5 + 0*o**5 + 6*o - t*o**4 = 0.
-1, 1
Let k(v) be the second derivative of -v**5/20 + v**3/2 - v**2 - 26*v. Solve k(b) = 0 for b.
-2, 1
Let p = 1 + 1. Suppose -2*x + 3*x = p. Find l, given that -5*l - 9*l**3 + 2*l + 4*l**4 + 2*l + 6*l**x = 0.
0, 1/4, 1
Let s(v) be the second derivative of v**7/126 - v**6/18 + 7*v**5/60 + v**4/36 - 4*v**3/9 + 2*v**2/3 + 30*v. Find z such that s(z) = 0.
-1, 1, 2
Let c(p) = p**2 - 2*p - 2. Let q(f) = 2 + 4 + 0 - 2*f**2 + 2*f - 3. Let v(g) = 6*c(g) + 4*q(g). Factor v(b).
-2*b*(b + 2)
Let y(a) be the second derivative of 3*a + 1/50*a**6 - 4/5*a**2 + 0 + 2/5*a**3 - 11/100*a**5 + 1/10*a**4. Factor y(u).
(u - 2)**2*(u + 1)*(3*u - 2)/5
Let j(w) be the third derivative of w**6/360 + w**5/45 + 5*w**4/72 + w**3/9 - 4*w**2. Factor j(l).
(l + 1)**2*(l + 2)/3
Let d be 3 - 6 - 36/(-10). Let -d*w**2 + 0 + 0*w = 0. Calculate w.
0
Let c(s) = 7*s**3 - 4*s - 4. Let m(i) = 6*i**3 - 3*i - 3. Let w(z) = -3*c(z) + 4*m(z). Suppose w(g) = 0. What is g?
0
Let u**4 + 35*u**2 + u**3 + 4*u**3 - u**5 - 32*u**2 = 0. What is u?
-1, 0, 3
Let w(p) be the second derivative of 2*p**7/315 + p**6/36 + p**5/30 - p**4/4 - 2*p. Let o(s) be the third derivative of w(s). Let o(v) = 0. Calculate v.
-1, -1/4
Let u(t) be the first derivative of 8/9*t**3 - 3 + 7/18*t**4 - 4/9*t + 1/3*t**2. Suppose u(y) = 0. What is y?
-1, 2/7
Let v(y) = 7*y**2 + 1. Let l be v(1). Suppose -c = 3*s - l, -s + 4*c - 5 - 1 = 0. Factor -2*z**s - 2*z - 2/3 - 2/3*z**3.
-2*(z + 1)**3/3
Let b = -72 + 189. Let o = b - 583/5. Factor 0 - o*d - 2/5*d**4 - 6/5*d**3 - 6/5*d**2.
-2*d*(d + 1)**3/5
Find u such that 2*u + 2*u - 3*u**2 + 4*u**2 - 5*u = 0.
0, 1
Let n(d) be the third derivative of d**6/180 + d**5/180 - d**4/18 - d**3/6 + 7*d**2. Let n(h) = 0. Calculate h.
-1, 3/2
Let r(b) be the first derivative of -5*b**6/6 + b**5 + 15*b**4/2 - 70*b**3/3 + 55*b**2/2 - 15*b - 2. Determine a so that r(a) = 0.
-3, 1
Let d(v) = -v**2 - 2*v + 3. Let f(x) = -2*x**2 - 4*x + 6. Let s(i) = 9*d(i) - 4*f(i). Factor s(c).
-(c - 1)*(c + 3)
Let j(t) be the third derivative of 2*t**7/105 + t**6/15 + t**5/15 + 7*t**2. Factor j(u).
4*u**2*(u + 1)**2
Let j(v) = 3*v**2 + 4*v. Let a = -8 - -6. Let u(c) = c**2 + c. Let p(k) = a*j(k) + 7*u(k). Factor p(d).
d*(d - 1)
Let w(p) = p + 7. Let v be w(-5). Let s be -3 - (-5 - -2 - 0)*2. Factor 2/9*i**v + 0 - 8/9*i**s + 0*i.
-2*i**2*(4*i - 1)/9
Let t(n) be the second derivative of 0*n**2 + 0 - 1/36*n**3 - 1/120*n**5 - 1/36*n**4 - n. Factor t(h).
-h*(h + 1)**2/6
Let n(v) be the third derivative of -v**5/12 + 5*v**4/4 - 25*v**3/6 + 54*v**2. Let n(d) = 0. What is d?
1, 5
Let m(w) be the second derivative of 0 + 3*w - 1/13*w**3 + 1/78*w**4 + 0*w**2. Factor m(b).
2*b*(b - 3)/13
Let x(z) be the second derivative of -z**5/60 + z**4/18 - z**3/18 + 15*z. Factor x(u).
-u*(u - 1)**2/3
Let f(w) be the first derivative of -3*w**5/25 - w**4/20 + w**3/5 + w**2/10 + 28. Solve f(b) = 0 for b.
-1, -1/3, 0, 1
Suppose -p + 51 = -4*j, 0 = -4*j + p + p - 46. Let r be (6/j)/((-3)/21). Determine s so that 6/7*s**r + 2/7*s**4 + 2/7*s + 6/7*s**2 + 0 = 0.
-1, 0
Let f = 472 - 472. Factor 2/5*j**2 + 4/5*j + f.
2*j*(j + 2)/5
Suppose 0*u - f - 21 = 2*u, 4*f = 4. Let v = 15 + u. Factor 2*k**4 + 2*k + 2*k**2 - 2*k + v*k**3.
2*k**2*(k + 1)**2
Let o(x) = -x**3 + 11*x**2 - 11*x + 9. Let v be o(10). Let h be 1*(v - 0 - -1). Factor 2 + h*s**3 + 2*s**3 - 2*s - s**2 - s**2.
2*(s - 1)**2*(s + 1)
Factor 2/7*x**5 + 8/7 + 38/7*x**3 + 32/7*x + 50/7*x**2 + 2*x**4.
2*(x + 1)**3*(x + 2)**2/7
Let t(i) be the first derivative of -i**6/45 + i**5/30 + i**4/18 - i**3/9 + 4*i - 6. Let a(w) be the first derivative of t(w). Factor a(j).
-2*j*(j - 1)**2*(j + 1)/3
Factor -2/9*i + 0 + 2/9*i**3 + 0*i**2.
2*i*(i - 1)*(i + 1)/9
Let t(j) be the second derivative of -j**6/135 + 2*j**5/45 - 5*j**4/54 + 2*j**3/27 + 3*j. Solve t(n) = 0.
0, 1, 2
Let p(q) = -q + 5. Let d = 19 + -14. Let x be p(d). 