4 - 2*z - 1/25*z**5. Factor j(t).
-2*(t - 1)*(t + 1)**3/5
Let g(j) be the third derivative of 1/108*j**4 + 0 - 2/27*j**3 - 1/540*j**6 + 1/135*j**5 + 0*j - 3*j**2. Factor g(z).
-2*(z - 2)*(z - 1)*(z + 1)/9
Let u(c) be the third derivative of 2*c**7/35 - c**6/8 - 3*c**5/20 + 5*c**4/8 - c**3/2 + 5*c**2. Factor u(s).
3*(s - 1)**2*(s + 1)*(4*s - 1)
Factor 3*k**2 - 9*k + 7*k - 7*k.
3*k*(k - 3)
Let h be -6 - 3/(1 - 4). Let l be (h + 3)*(-6)/10. Find c such that -22/5*c**4 - 12/5*c**2 + 2/5 - 28/5*c**3 - l*c**5 + 2/5*c = 0.
-1, 1/3
Let z = -3 + 3. Suppose -1/2*l**3 + z*l**2 - 1/2*l**4 + 0 + 0*l = 0. What is l?
-1, 0
Let v be (-2)/(-3) - ((-268)/(-60) - 5). Let -8/5 + v*y**2 + 4/5*y + 1/5*y**4 - y**3 = 0. What is y?
-1, 2
Let o = 375 + -2623/7. Find s such that 0*s**2 + 0 + 0*s + o*s**5 + 0*s**3 + 0*s**4 = 0.
0
Suppose o - 2 = -4*k, o - k - 6 + 4 = 0. Let -2/5*n - 2/5*n**o + 2/5 + 2/5*n**3 = 0. What is n?
-1, 1
Let l(r) = r - 1. Let q be l(5). Factor -2 + 0*w + q*w + 5*w**2 - 7*w**2.
-2*(w - 1)**2
Let r be (-93)/(-1116) - -1*2/8. Factor -7/6*b**3 + r - 11/6*b + 8/3*b**2.
-(b - 1)**2*(7*b - 2)/6
Let x be 4/(-14) + (-128)/(-56). Factor 2/5*z**x + 2/5*z + 0.
2*z*(z + 1)/5
Suppose -2*n + 4*d + 14 = 0, 3*n + 0*n - 11 = d. Let 2/5*w**2 + 0*w**n + 0 - 2/5*w**4 + 0*w = 0. What is w?
-1, 0, 1
Let o(g) be the second derivative of -g**7/63 - 4*g**6/45 - g**5/5 - 2*g**4/9 - g**3/9 + 17*g. Factor o(r).
-2*r*(r + 1)**4/3
Let u(v) be the third derivative of -v**8/840 + 2*v**7/525 - v**5/75 + v**4/60 + 9*v**2. Factor u(y).
-2*y*(y - 1)**3*(y + 1)/5
Let p(u) be the second derivative of u**7/1260 - u**6/180 + u**5/60 - u**4/6 - u. Let v(g) be the third derivative of p(g). Solve v(z) = 0 for z.
1
Let h(u) be the first derivative of 3*u**4/4 + 2*u**3 - 3*u**2/2 - 6*u - 8. Suppose h(c) = 0. Calculate c.
-2, -1, 1
Suppose 44*v - 29 = 235. Factor -18*s + v - 21/2*s**2.
-3*(s + 2)*(7*s - 2)/2
Let s(n) = -n - 1. Let g be s(-5). Factor -2*z**g - 2*z**2 + 2*z**2 + 2*z**2.
-2*z**2*(z - 1)*(z + 1)
Let j(c) = 3*c**3 + 3*c - 2. Let z(h) = h**3 - h**2 + h - 1. Let x(y) = -3*j(y) + 6*z(y). Let x(l) = 0. Calculate l.
-1, 0
Factor 4*y - 2/3*y**2 - 6.
-2*(y - 3)**2/3
Let o be 15/25 + 4*2/4. Factor o*m**3 + 2/5 + 28/5*m**2 + 17/5*m.
(m + 1)**2*(13*m + 2)/5
Let v = 10 + -1. Let w(n) = -n**3 + 10*n**2 - 8*n - 1. Let k be w(v). Factor 60/7*f**2 + 16/7 + k*f + 18/7*f**3.
2*(f + 2)*(3*f + 2)**2/7
Let t(z) = -28*z**2 + 53*z + 16. Let x(v) = -14*v**2 + 26*v + 8. Let d(a) = -2*t(a) + 5*x(a). Find n such that d(n) = 0.
-2/7, 2
Factor 32/3*g + 34/3*g**2 + 8/3 + 10/3*g**3.
2*(g + 1)*(g + 2)*(5*g + 2)/3
Factor -1/3*f**2 + 0 - 2/3*f.
-f*(f + 2)/3
Suppose 4*v + 2*a = 0, 3*a + 4 = 4*v - 16. Suppose 5*f - 13 - 2 = 0. Let -1 + h**f - 3*h**v + 5 - 2*h**3 = 0. Calculate h.
-2, 1
Suppose 5*s = -4*p + 27, 2*p + s + 4*s = 21. Let -4*w - 3*w**3 + 5*w**p + 2*w**3 = 0. What is w?
-1, 0, 1
Suppose -10 - 2 = 2*f. Let r(b) = b**3 + b**2 + b. Let l(y) = -4*y**3 - 2*y**2 - 2*y - 1. Let o(q) = f*r(q) - 2*l(q). Find v, given that o(v) = 0.
-1, 1
Suppose 4*b = -j + 25, 3*j + 23 = 5*j - b. Let i(p) = -p**3 + 12*p**2 + 16*p - 1. Let x be i(j). Factor -7*f + x + 3*f**2 - 3*f - 8*f - 11.
3*(f - 3)**2
Let z = 4 + -2. Determine s so that -2*s**2 - s**2 + 2 + 2*s**2 - s**z = 0.
-1, 1
Suppose 4*o + 0*o - 8 = 0. Suppose o*q = 3*q. Factor 1/4*j**3 + q + 1/4*j**2 - 1/4*j - 1/4*j**4.
-j*(j - 1)**2*(j + 1)/4
Let x(w) be the third derivative of 0*w**3 + 0*w + 4*w**2 + 1/10*w**5 + 1/70*w**7 + 0 + 0*w**4 - 3/40*w**6. Suppose x(j) = 0. Calculate j.
0, 1, 2
Let i(l) = -l**5 - l**4 - 2*l**3 + 4*l**2 - 3*l. Let s(f) = 4*f**5 + 6*f**4 + 10*f**3 - 20*f**2 + 14*f. Let n(k) = -28*i(k) - 6*s(k). Factor n(z).
4*z**2*(z - 2)*(z - 1)*(z + 1)
Factor 3/4*j**4 - 9/4*j**2 - 3/4*j**3 - 3/2 + 15/4*j.
3*(j - 1)**3*(j + 2)/4
Let f(m) = m**3 - 4*m**2 + 2*m + 4. Let s be f(4). Let o be ((-9)/s)/(-1*3). Determine t, given that -1/4*t + o*t**2 - 1/2 = 0.
-1, 2
Let c(g) = -5*g**3 - 5*g**2 + 6. Let r(s) = -13*s**3 - 15*s**2 + s + 19. Let a(q) = 8*c(q) - 3*r(q). What is i in a(i) = 0?
-1, 3
Let k(r) = -3*r**3 + 6*r**2 + 6*r + 7. Let p(g) = -10*g**3 + 18*g**2 + 18*g + 22. Let m(h) = -16*k(h) + 5*p(h). Find s, given that m(s) = 0.
-1
Let p(y) be the third derivative of 0 + 1/240*y**5 + 0*y + 0*y**3 + 4*y**2 + 1/240*y**6 + 0*y**4 + 1/840*y**7. Factor p(v).
v**2*(v + 1)**2/4
Let j(t) be the first derivative of -t**4/12 + t**2/2 - 10*t + 6. Let r(x) be the first derivative of j(x). Suppose r(g) = 0. Calculate g.
-1, 1
Let w(h) be the first derivative of 4*h**3/3 - 2*h**2 - 8*h - 8. Find j, given that w(j) = 0.
-1, 2
Let c(a) be the third derivative of a**8/1176 + 4*a**7/735 + a**6/70 + 2*a**5/105 + a**4/84 - 5*a**2. Let c(i) = 0. What is i?
-1, 0
Let s(o) be the second derivative of -4*o + 0 + 0*o**2 + 1/24*o**3 + 1/48*o**4. Factor s(t).
t*(t + 1)/4
Let v(u) be the first derivative of 3/5*u**4 + 1/5*u**6 - 1/5*u**2 - 4 + 0*u**3 + 0*u + 16/25*u**5. Let v(a) = 0. Calculate a.
-1, 0, 1/3
Let z(w) be the third derivative of 0*w + 2/3*w**3 + w**2 - 1/4*w**4 + 0 - 1/6*w**5. Factor z(v).
-2*(v + 1)*(5*v - 2)
Let f be (-1 - -1) + 15 + -12. Let j(g) be the second derivative of -5/12*g**f + 1/4*g**2 + g + 0 + 1/6*g**4. Factor j(h).
(h - 1)*(4*h - 1)/2
Let o(f) be the first derivative of f**3/12 + f**2/4 + f/4 - 6. Let o(y) = 0. Calculate y.
-1
Let y = 56/5 - 163/15. Solve -y*n**3 - n**2 + 0*n + 0 = 0 for n.
-3, 0
Let k(o) = 6*o**5 + o**4 + 18*o**3 - 11*o**2 - 17*o - 17. Let x(n) = n**5 + 3*n**3 - 2*n**2 - 3*n - 3. Let m(r) = 6*k(r) - 34*x(r). Factor m(d).
2*d**2*(d + 1)**3
Factor -1/5*b**4 - 2/5*b**3 + 0*b**2 + 0 + 0*b + 3/5*b**5.
b**3*(b - 1)*(3*b + 2)/5
Let v(q) be the second derivative of q**6/30 - q**5/4 + 5*q**4/12 - 2*q**3/3 + 3*q. Let f(j) = j**2. Let g(y) = -3*f(y) - v(y). Let g(p) = 0. Calculate p.
0, 1, 2
Let p(u) = u**2 - 4*u + 3. Let z be ((-3)/3)/((-2)/8). Let o(s) = 3*s - 3. Let j(a) = z*o(a) + 3*p(a). Factor j(m).
3*(m - 1)*(m + 1)
Let z(s) be the third derivative of 0*s**3 + 1/210*s**5 + 7*s**2 + 0*s + 0*s**4 + 0. Suppose z(a) = 0. What is a?
0
Let 4/7*x**3 - 16/7 - 4/7*x + 16/7*x**2 = 0. What is x?
-4, -1, 1
Let a(m) be the second derivative of m**4/4 - m**3 - 17*m. Factor a(d).
3*d*(d - 2)
Let u(a) be the second derivative of -a**5/40 + 11*a**4/24 - 2*a**3 - 9*a**2 - 20*a. Factor u(f).
-(f - 6)**2*(f + 1)/2
Let w(o) be the third derivative of o**7/420 + o**6/180 - o**3/2 + 3*o**2. Let f(u) be the first derivative of w(u). Factor f(h).
2*h**2*(h + 1)
Let d(n) = n**2 + 2*n + 1. Let y be d(-3). Factor 2*w + w**2 - y*w**2 + 4*w**2 + w**2.
2*w*(w + 1)
Let l(q) = 56*q**3 + 208*q**2 + 165*q - 64. Let r(n) = 84*n**3 + 312*n**2 + 247*n - 96. Let o(p) = -7*l(p) + 5*r(p). Suppose o(c) = 0. What is c?
-2, 2/7
Let l(c) = 13*c**4 - 8*c**3 + 5*c**2 - 5. Let x(m) = -72*m**4 + 44*m**3 - 28*m**2 + 28. Let h(w) = -28*l(w) - 5*x(w). Factor h(b).
-4*b**3*(b - 1)
Let k(v) = -11*v**2 - 3*v - 4. Let i(x) = -3 + 6*x + 12*x**2 + 10 + 16*x**2 - 7*x**2. Let f(q) = -6*i(q) - 11*k(q). Factor f(g).
-(g + 1)*(5*g - 2)
Suppose -13 - 5*m**4 - 4*m**2 - 5*m + 19*m**2 - 3 + 5*m**3 + 6 = 0. Calculate m.
-1, 1, 2
What is n in -7/6*n**4 + 19/6*n**3 - 2/3*n + 0 - 4/3*n**2 = 0?
-2/7, 0, 1, 2
Suppose 5*t + 4*y - 1 - 15 = 0, -2*t = 2*y - 8. Suppose 2*k + k = t. Factor k*s + 0 - 2/5*s**2 - 2/5*s**5 + 2/5*s**4 + 2/5*s**3.
-2*s**2*(s - 1)**2*(s + 1)/5
Let u be 3/(8 - (-117)/(-18)). Find p, given that -2/3*p**5 + 2*p**u + 22/9*p**3 - 2/9*p**4 - 8/9*p - 8/9 = 0.
-1, 2/3, 2
Suppose -3*a + 4*a = 2. Factor 11*o**2 - 15*o**2 + 6*o**a.
2*o**2
Suppose 4*r + 160 = 5*b + 62, 4*r - 82 = -5*b. Suppose -b = -3*z - 0*z. Factor 0 + 14/3*g**2 - 2/3*g - 10*g**3 + z*g**4.
2*g*(g - 1)*(3*g - 1)**2/3
Let x = -4 - -7. Factor 2*t**2 - t**x - t - 2 + 2 + 0*t.
-t*(t - 1)**2
Suppose 71*z + 74*z + 2*z**2 - z**3 - 146*z = 0. What is z?
0, 1
Let j(m) be the second derivative of m**4/24 - m**2/4 + 11*m. Factor j(t).
(t - 1)*(t + 1)/2
Let z = 4 + -2. Factor k**3 - z*k + 1 + 2 - 1 - k.
(k - 1)**2*(k + 2)
Determine j so that 1/4*j**3 + 1/4*j**2 - 1/4*j**4 - 1/4*j + 0 = 0.
-1, 0, 1
Let t be (-28)/(-35) - (-4)/(-30). Find z such that -t*z**5 + 2/9*z - 4/3*z**3 + 0*z**2 + 16/9*z**4 + 0 = 0.
-1/3, 0, 1
Let p = 242/9 + -362/9. Let j = -1