ctor 2/5*x**3 + 2*x - 4/5 - 8/5*x**2.
2*(x - 2)*(x - 1)**2/5
Let u(w) be the third derivative of w**4/24 - w**3/3 + 4*w**2. Let o be u(5). Factor 4/5*q**2 - 14/5*q**4 + 0*q + 0 - 2*q**o.
-2*q**2*(q + 1)*(7*q - 2)/5
Suppose -111*p + 4 = -106*p + 3*z, -2*p = 5*z + 6. Suppose -6/13*g**p + 0 + 0*g + 2/13*g**3 = 0. Calculate g.
0, 3
Solve -5*t + 14*t - 39*t - 3*t**2 = 0 for t.
-10, 0
Let o be (-1)/12 + (-12)/(-36). Factor -3/4*i**2 - 1/4*i**3 - o - 3/4*i.
-(i + 1)**3/4
Let o(s) = -s - 1. Let y(k) = 2*k**2 - 2. Let m(z) = 6*o(z) - 2*y(z). Determine f, given that m(f) = 0.
-1, -1/2
Let m be (1/(-6))/((-8)/16). Let g(n) be the first derivative of 0*n - 1 - m*n**3 - 3/4*n**4 + 13/20*n**5 + 0*n**2 + 7/8*n**6. Determine k, given that g(k) = 0.
-1, -2/7, 0, 2/3
Let c(o) = 8*o**3 - 27*o**2 + 35*o - 16. Let p(n) = 4*n**3 - 13*n**2 + 17*n - 8. Let w(g) = 3*c(g) - 5*p(g). Factor w(m).
4*(m - 2)*(m - 1)**2
Factor -431 - 10*h - 14*h + 459 - 4*h**2.
-4*(h - 1)*(h + 7)
Let p = 9 + -24. Let i be 31/15 - (-6)/p. Factor -i*n + 7/3*n**2 - 2/3.
(n - 1)*(7*n + 2)/3
Find v such that 0 - 1/6*v**3 - 1/3*v**2 + 0*v + 1/6*v**4 = 0.
-1, 0, 2
Let k(x) be the second derivative of -x**5/60 + x**4/36 + x**3/18 - x**2/6 - 3*x. Find a, given that k(a) = 0.
-1, 1
Let p be (-9)/6*(-1 + -15). Suppose -2*d = 5*i - 5*d - 18, -2*i - 3*d = -p. Solve 2*h**2 + 5 + 6*h**3 - 5 + i*h**4 + 2*h**5 = 0 for h.
-1, 0
Suppose 2*l + 3 = 9. Let i(f) = -6*f - 2. Let x be i(-2). Solve t - t**4 - x*t**l + t + 7*t**4 + 2*t**2 = 0 for t.
-1/3, 0, 1
Let n(q) be the first derivative of 343/24*q**6 + 21/4*q**4 + 3 + 2/3*q**3 + 147/10*q**5 + 0*q**2 + 0*q. Factor n(x).
x**2*(7*x + 2)**3/4
Let a(y) be the third derivative of 16*y**8/21 - 1184*y**7/105 - 78*y**6/5 - 119*y**5/15 - 5*y**4/3 + 19*y**2. Factor a(m).
4*m*(m - 10)*(4*m + 1)**3
Suppose o + 7 - 8 = 0. Factor -s**2 + 10/3*s - o.
-(s - 3)*(3*s - 1)/3
Let v(w) be the third derivative of w**5/210 + 2*w**4/21 - 3*w**3/7 - 33*w**2. Factor v(f).
2*(f - 1)*(f + 9)/7
Let s(c) be the third derivative of 3*c**7/140 - c**6/16 - c**5/10 + c**4/4 - 6*c**2. Find w, given that s(w) = 0.
-1, 0, 2/3, 2
Let i(f) = 4*f - 30. Let h be i(8). Find y such that 0 - 4/13*y**h - 2/13*y - 2/13*y**3 = 0.
-1, 0
Let n be 4 - (-1)/(5 + (-55)/10). What is o in 2/3*o**n + 0 + 0*o - o**3 = 0?
0, 2/3
Let d(t) be the third derivative of -t**6/40 + t**4/8 - 4*t**2. Solve d(i) = 0.
-1, 0, 1
Let s(l) = -27*l**2 + 42*l + 24. Let b(g) = -190*g**2 + 295*g + 170. Let m(x) = -2*b(x) + 15*s(x). Factor m(p).
-5*(p - 2)*(5*p + 2)
Let y(j) be the second derivative of -j**6/420 - j**5/70 - j**4/28 - j**3/21 + j**2/2 - j. Let a(g) be the first derivative of y(g). Factor a(t).
-2*(t + 1)**3/7
Let h(d) be the first derivative of 5*d**4/4 + 5*d**3/3 - 5*d**2 + 26. Factor h(o).
5*o*(o - 1)*(o + 2)
Let u be 2 - (-4 + 4 - 0). Let i be 12/5 + 0 + -2. Factor -i + 4/5*q - 2/5*q**u.
-2*(q - 1)**2/5
Suppose -5*j = -15, -5*g - 15 = -3*g - 5*j. Let q be -8 + 5 + (g - -3). Factor 2/5*l**5 + q*l**2 + 0*l - 4/5*l**4 + 0 + 2/5*l**3.
2*l**3*(l - 1)**2/5
Let v(n) be the third derivative of 0*n**3 - 1/480*n**6 + 0*n - 1/240*n**5 + 1/96*n**4 + 1/840*n**7 - 3*n**2 + 0. What is q in v(q) = 0?
-1, 0, 1
Let a(y) be the second derivative of 0*y**2 + 7*y + 1/48*y**3 + 0*y**4 - 1/160*y**5 + 0. Factor a(j).
-j*(j - 1)*(j + 1)/8
Determine n so that 4*n - 24/5 + 44/5*n**2 = 0.
-1, 6/11
Let x(r) = -5*r**3 + 41*r**2 - 49*r + 51. Let w(h) = h**3 - 8*h**2 + 10*h - 10. Let k(g) = 33*w(g) + 6*x(g). Factor k(m).
3*(m - 2)**3
Let x(h) be the first derivative of -5*h**6/24 + 9*h**5/10 + h**4/2 + 57. Determine d, given that x(d) = 0.
-2/5, 0, 4
Let c = 10 - -12. Let a be (-9)/(-132) - (-4)/c. Suppose -a*h + 3/4*h**2 - 1/2 = 0. Calculate h.
-2/3, 1
Suppose 4/3*v**2 + 1/3*v**3 - 4/3 - 1/3*v = 0. Calculate v.
-4, -1, 1
Let n(k) be the second derivative of -7*k**8/1440 + k**7/135 - k**6/270 + 5*k**4/12 + 4*k. Let t(r) be the third derivative of n(r). Factor t(i).
-2*i*(7*i - 2)**2/3
Let v = 17 - 15. Let j(y) be the first derivative of -1 + 0*y**3 + 0*y**5 + 0*y - 1/27*y**6 - 1/9*y**v + 1/9*y**4. Suppose j(t) = 0. Calculate t.
-1, 0, 1
Let w(h) = -h**5 - 4*h**4 - 4*h**3 - h**2 - 5. Let q(v) = v**5 + 3*v**4 + 3*v**3 + v**2 + 4. Let d(s) = -5*q(s) - 4*w(s). Factor d(p).
-p**2*(p - 1)**2*(p + 1)
Let u be ((-12)/(-30))/(4/5 + 0). Factor 5/4*i**3 + 1/2 - u*i**2 - 5/4*i.
(i - 1)*(i + 1)*(5*i - 2)/4
Let c = -64/39 - -30/13. Let c*g**2 + 4/3 - 2*g**4 - 10/3*g**3 + 10/3*g = 0. Calculate g.
-1, -2/3, 1
Suppose 77*a + 8*a**2 + 19 + 23*a + 13 + 4*a**2 = 0. Calculate a.
-8, -1/3
Factor -72 + 24*v - v**2 - v**2 + 0*v.
-2*(v - 6)**2
Let z(t) = 13*t**3 + 13*t**2 - 5*t + 7. Let q(j) = 4*j**3 + 4*j**2 - 2*j + 2. Let r(m) = -7*q(m) + 2*z(m). Factor r(i).
-2*i*(i - 1)*(i + 2)
Let k(s) = -4*s**4 - 7*s + s - 3 - s. Let o(q) = -7*q**4 + q**3 - 13*q - 5. Let u(m) = -10*k(m) + 6*o(m). Let u(d) = 0. What is d?
-1, 0, 2
Let v(h) = 4*h. Let o(r) = r**2 + 15*r. Let f(d) = -2*o(d) + 9*v(d). Determine z so that f(z) = 0.
0, 3
Let o be ((-663)/(-52) - 13) + (-11)/(-12). Let -2/15*a**3 + o*a**2 - 14/15*a + 2/5 = 0. Calculate a.
1, 3
Solve 145/2*o**3 + 45*o + 0 + 5/2*o**5 - 195/2*o**2 - 45/2*o**4 = 0.
0, 1, 2, 3
Factor 4*u + 7*u + 5 + 0*u**2 - 5*u**2 - 5*u**3 - 6*u.
-5*(u - 1)*(u + 1)**2
Let g be 2*(2*-1 - -3). Suppose i - 4*x - 2 = 0, 0 = x + g*x. Find f such that 1 + 0*f + i*f**2 - 2*f - f**2 = 0.
1
Suppose 3*g + 2*b + 4 = -2*b, g - 2*b - 2 = 0. Let m(j) be the third derivative of 1/30*j**5 - 1/12*j**4 + g*j**3 + 0 + 0*j - 3*j**2. Factor m(f).
2*f*(f - 1)
Let b(h) = -8*h + 3. Let x be b(0). Let s(k) be the third derivative of 0*k**x - 1/20*k**5 + 0 + 0*k + 1/8*k**4 - 4*k**2. Factor s(z).
-3*z*(z - 1)
Let v(c) = -c**2 - 8*c - 16. Let y(q) = -2*q - 4. Let k(l) = -2*v(l) + 9*y(l). Factor k(r).
2*(r - 2)*(r + 1)
Let d(l) = 11*l**2 - 18*l + 17. Let k(s) = -6*s**2 + 9*s - 9. Let p(r) = -3*d(r) - 5*k(r). What is x in p(x) = 0?
1, 2
Suppose 0 = -3*i + 5*l - 37, -8*i + l - 38 = -4*i. Let b be 1/(-1)*0 - i. Factor b*k + 2*k**2 - 15 - 5*k**2 + 9.
-3*(k - 2)*(k - 1)
Factor 16/13 - 2/13*n**2 + 4/13*n.
-2*(n - 4)*(n + 2)/13
Let c(g) be the second derivative of -1/6*g**4 + 0*g**2 + 0*g**3 - 2*g + 0. Factor c(i).
-2*i**2
Let f(x) be the third derivative of x**8/84 + 2*x**7/21 - x**6 + 10*x**5/3 - 35*x**4/6 + 6*x**3 + 41*x**2. Solve f(o) = 0 for o.
-9, 1
Let j(p) be the third derivative of -5*p**8/112 - 13*p**7/35 - 9*p**6/8 - 7*p**5/5 - p**4/2 + 14*p**2. Solve j(c) = 0 for c.
-2, -1, -1/5, 0
Let m be 5/(-5) + (-3)/(-3). Factor -1 - 4*b**2 + 5*b**2 + 0 + m*b**2.
(b - 1)*(b + 1)
Let h = -14 + 16. Let r(x) be the second derivative of x + 0*x**6 - 1/189*x**7 + 0*x**h + 0*x**4 + 1/45*x**5 + 0 - 1/27*x**3. Factor r(o).
-2*o*(o - 1)**2*(o + 1)**2/9
Suppose -5*j + g + 4*g - 10 = 0, -12 = -3*g. Factor -8 + 49*n**j + 7*n + 5*n + 41*n**2 + 81*n**3.
(3*n + 2)**2*(9*n - 2)
Let o be 34/(-84) + 5/10. Let s(m) be the first derivative of 1/14*m**4 + 2/35*m**5 - 1/7*m**2 + 2 + 0*m - o*m**3. Factor s(z).
2*z*(z - 1)*(z + 1)**2/7
Let v(r) be the second derivative of 0 + 1/195*r**6 + 0*r**2 + 0*r**3 + 0*r**5 + 0*r**4 + 3*r. Find j such that v(j) = 0.
0
Let z(y) = -y**3 - 4*y**2 - y + 1. Let s be z(-4). Let g(q) be the third derivative of 0*q**3 + 0*q**4 + 0 + 1/240*q**s + 0*q - q**2. Factor g(p).
p**2/4
Suppose 2*u - u - 6 = 0. Let k(v) be the third derivative of -1/300*v**u + 0*v - 1/75*v**5 - 1/60*v**4 + v**2 + 0*v**3 + 0. Let k(l) = 0. What is l?
-1, 0
Let w(d) be the second derivative of d**6/360 - d**5/20 + 3*d**4/8 + d**3 - 2*d. Let u(y) be the second derivative of w(y). What is o in u(o) = 0?
3
Suppose m - 2 = 3. Let q(j) be the first derivative of -4*j + 1 - m*j**3 - 25/8*j**4 + 9*j**2. Determine g so that q(g) = 0.
-2, 2/5
Factor 3 - 9/4*b**2 + 3/4*b**3 + 0*b.
3*(b - 2)**2*(b + 1)/4
Let x be 110/(-60) + (2 - (0 + 0)). Let f(r) be the second derivative of 2*r + 0 + 0*r**3 - 2/5*r**5 - x*r**4 + 0*r**2. Factor f(h).
-2*h**2*(4*h + 1)
Factor 6*w**2 + 1 + 2*w - 4*w**2 + 0*w**2 - w**2.
(w + 1)**2
Let d(b) be the second derivative of b**7/273 - 4*b**6/195 + 3*b**5/65 - 2*b**4/39 + b**3/39 + 2*b. What is h in d(h) = 0?
0, 1
Let g be 3/1 + 9 + -9. Let p be 4 - (1 + (0 - 1)). Find b such that 13*b**3 + 11*b**4 -