 6/5*t**3 - 2/5*t - 8/5*t**2 = 0. Calculate t.
-1, -1/3, 0
Let a = 5 - 3. Suppose 2*b = 3*b + 1, a*l - 4*b = 8. Factor -4*h**3 - 4 - 5*h + h**4 + h + 5 - 3*h**2 + 9*h**l.
(h - 1)**4
Let i = 7 - -5. Let g = 0 - -3. Factor i - v**g - 12 + v**5.
v**3*(v - 1)*(v + 1)
Let p = 84/817 + -541274/4085. Let a = -132 - p. Solve -a*k**3 + 2/5*k + 0*k**2 + 0 = 0 for k.
-1, 0, 1
Let u be 4/(-18) + (-4)/(-18). Suppose -30*s**3 + 14*s**2 - 2*s - 3*s**4 + u*s + 16*s**4 - 8*s**5 + 13*s**4 = 0. What is s?
0, 1/4, 1
Let p(u) = 4*u**3 - 6*u**2 - 5*u + 5. Let g(d) = -5*d**3 + 7*d**2 + 6*d - 6. Let t(y) = 5*g(y) + 6*p(y). Let t(n) = 0. What is n?
-1, 0
Let f = -20 - -10. Let b be 112/(-14)*4/f. Let 8/5 - b*q - 2/5*q**3 + 2*q**2 = 0. What is q?
1, 2
Let x(a) be the second derivative of -1/54*a**4 + 0*a**5 + 0*a**2 + 0 + a + 0*a**3 + 1/135*a**6. Factor x(y).
2*y**2*(y - 1)*(y + 1)/9
Let s(k) be the third derivative of 0 - 2/15*k**3 + 1/20*k**4 + 0*k - 4*k**2 + 0*k**5 - 1/300*k**6. What is t in s(t) = 0?
-2, 1
Let q(i) = 3*i**2 + 14*i + 23. Let d be -4*1/(-4) + 3. Let m(g) = 3*g**2 + 13*g + 22. Let w(j) = d*m(j) - 5*q(j). Factor w(k).
-3*(k + 3)**2
Let -20*z - 15*z**4 - 1 + 32*z**3 - 12*z**3 + 6 + 10*z**2 = 0. What is z?
-1, 1/3, 1
Let i = 5/7 - 61/105. Let p(z) be the first derivative of -2 - 2/5*z + 1/5*z**2 - 1/10*z**4 + i*z**3. Factor p(f).
-2*(f - 1)**2*(f + 1)/5
Let o(n) = -12*n**4 - 12*n**3 - 2*n**2 + 5 + 9 + 5*n + 18*n. Let p(a) = -4*a**4 - 4*a**3 - a**2 + 8*a + 5. Let x(l) = -4*o(l) + 11*p(l). Factor x(c).
(c - 1)*(c + 1)*(2*c + 1)**2
Let v(i) = -i**3 - 3*i**2 + 4*i - 5. Let s(c) = 4*c - 3 + 0 - 2*c**2 - 2*c. Let p(z) = -10*s(z) + 6*v(z). Solve p(r) = 0.
-2/3, 0, 1
Let w(h) = -4*h**5 - 2*h**4 + 6*h**3 - 4*h**2 - 2*h. Let z(n) = n**5 + n**4 - n**3 + n**2. Let p(c) = -w(c) - 3*z(c). Factor p(g).
g*(g - 2)*(g - 1)*(g + 1)**2
Let z(m) be the first derivative of -8/5*m - 2/15*m**3 - 4/5*m**2 - 2. Solve z(b) = 0.
-2
Let f(o) be the third derivative of o**9/1512 - o**8/420 - o**3/2 - 4*o**2. Let m(z) be the first derivative of f(z). Factor m(x).
2*x**4*(x - 2)
Suppose 15/2*u + 10*u**2 - 10*u**4 - 5/2*u**5 + 0 - 5*u**3 = 0. What is u?
-3, -1, 0, 1
Let l(f) be the first derivative of -11*f**4/26 + 8*f**3/13 - f**2/13 + 53. Suppose l(i) = 0. Calculate i.
0, 1/11, 1
Let c(t) be the second derivative of t**7/42 + t**6/30 + t**4/12 + t**2/2 - 4*t. Let j(n) = 4*n**5 + 4*n**4 + 5*n**2 + 5. Let w(f) = 5*c(f) - j(f). Factor w(i).
i**4*(i + 1)
Let u(g) be the second derivative of -g**6/30 + 3*g**5/20 - g**4/6 + 14*g. Factor u(y).
-y**2*(y - 2)*(y - 1)
Factor 3/5*p**3 + 0 - 9/5*p + 6/5*p**2.
3*p*(p - 1)*(p + 3)/5
Let y(i) = 32*i**3 - 32*i**2 + 12*i + 12. Let w(s) = -13*s**3 + 13*s**2 - 5*s - 5. Let u(g) = 12*w(g) + 5*y(g). What is r in u(r) = 0?
0, 1
Let b(z) = z**4 + z**3 + 6*z**2 + 4*z + 4. Let d(y) = -2*y**4 - y**3 - 12*y**2 - 8*y - 9. Let v be (-80)/6 - 2/3. Let t(g) = v*b(g) - 6*d(g). Factor t(p).
-2*(p + 1)**4
Let h(p) = -p**2 - 10*p - 9. Let a be h(-8). Solve q**2 + 0*q**2 - 2*q**2 - 3*q + a*q**2 + 9*q**3 = 0.
-1, 0, 1/3
Let f be (-2 - -3) + -4 + 5. Suppose -4*x = -f*x - 4. Determine m so that 5/2*m**x - 2*m + 1/2 - m**3 = 0.
1/2, 1
Let t(v) be the second derivative of -v**6/90 + v**5/60 + v**4/36 - v**3/18 - 12*v. Factor t(r).
-r*(r - 1)**2*(r + 1)/3
Let k = -6 + 6. Suppose -g = -k*g. Factor g*h - 1/4 + 1/4*h**2.
(h - 1)*(h + 1)/4
Let q(y) = 3*y**2 + 9*y + 8. Let l(m) = -13*m**2 - 36*m - 31. Let p(g) = 2*l(g) + 9*q(g). Let r be p(-8). Solve -c**r - 2*c - 1 - c - 1 = 0 for c.
-2, -1
Suppose -5*b + 26 = -4*v, -v - v = -5*b + 18. Factor i**4 - 18*i**2 + 6*i**3 + 24*i**2 + b*i + i**4.
2*i*(i + 1)**3
Let b(t) be the first derivative of t**6/3 - 2*t**5/5 - 3*t**4/2 + 2*t**3/3 + 2*t**2 + 14. Factor b(k).
2*k*(k - 2)*(k - 1)*(k + 1)**2
Let s(r) = 2*r**2 + 7*r + 13. Let l(u) = -u**2 - 6*u - 14. Let h(c) = 7*l(c) + 6*s(c). Factor h(t).
5*(t - 2)*(t + 2)
Suppose -3*a + 16 = a. Factor -2/3 - 4*d**2 + 8/3*d**3 - 2/3*d**a + 8/3*d.
-2*(d - 1)**4/3
Let d(o) be the first derivative of -o**4/18 - 14*o**3/27 - 8*o**2/9 + 32*o/9 - 14. Suppose d(l) = 0. What is l?
-4, 1
Let y(a) = 3*a + 0*a**2 - 4*a + a**2 + 4. Let n be y(0). Let -2*f + 2*f - 2*f**2 - n*f**3 - 2*f**4 = 0. Calculate f.
-1, 0
Let -2/7*r**5 + 0*r**3 + 0 + 0*r**2 + 0*r - 2/7*r**4 = 0. What is r?
-1, 0
Let d(v) = 2*v - 4. Let p be d(3). Suppose 0 = -5*r + 19 + 6, 2*r - 4 = p*o. Factor 1/2*u**o - 1/4*u**4 + 0*u + 0 - 1/4*u**2.
-u**2*(u - 1)**2/4
Factor 1/6*c**5 - 2/3*c**4 + 1/3 - 5/6*c + 1/3*c**2 + 2/3*c**3.
(c - 2)*(c - 1)**3*(c + 1)/6
Let g = -789 - -5529/7. What is r in 5/7*r**3 - g*r + 0 - 13/7*r**2 = 0?
-2/5, 0, 3
Let -112*c - 174*c**2 + 42*c**4 - 12 + 237*c**4 + 31*c**3 + 60*c**2 + 81*c**5 - 153*c**2 = 0. Calculate c.
-3, -1, -2/9, 1
Let d(s) be the second derivative of 0 - 1/5*s**6 + 4*s - 1/2*s**5 + 0*s**2 + 1/3*s**3 - 1/6*s**4. Factor d(x).
-2*x*(x + 1)**2*(3*x - 1)
Let s = 10 - 0. Let y = -8 + s. What is b in 2/3 + 2/3*b**3 + 2*b**2 + y*b = 0?
-1
Let j be 8/12*2/8. Let o(t) be the third derivative of -1/20*t**5 + 0*t - j*t**3 - 1/8*t**4 + 0 - 1/120*t**6 - 2*t**2. Factor o(u).
-(u + 1)**3
Suppose -2*g = -0*g - 3*p - 13, -2*p = 3*g. Suppose -3*m = -4*b - g, -4*b - 5 = 5*m - 19. Let 3/2*y**3 + 0 + 3*y**m + 3/2*y = 0. Calculate y.
-1, 0
Let q(u) = -4*u**2 + 2*u. Let d(g) = 9*g**2 - 5*g. Let n(t) = 6*d(t) + 14*q(t). Suppose n(s) = 0. What is s?
-1, 0
Suppose -7*g - 5*g + 36 = 0. Let c(x) be the third derivative of 1/180*x**5 + x**2 + 0 + 0*x + 0*x**4 + 0*x**g. Factor c(z).
z**2/3
Let f(v) = -v**2 - 5*v + 2. Let o be f(-5). Suppose j + j + 4*j**2 + 0*j**2 - 4*j - o*j**3 = 0. Calculate j.
0, 1
Let r(l) be the first derivative of -l**6/11 - 4*l**5/55 + 3*l**4/11 + 8*l**3/33 - 3*l**2/11 - 4*l/11 + 2. Suppose r(a) = 0. Calculate a.
-1, -2/3, 1
Let k(t) be the second derivative of -t**5/60 + t**4/12 - t**3/9 - 26*t. Factor k(o).
-o*(o - 2)*(o - 1)/3
Suppose -653*n = -655*n. Let c = -15 + 47/3. Solve n - c*q**2 + 2/3*q = 0 for q.
0, 1
Let p = -14 + 17. Let t(z) be the first derivative of -1 + 1/2*z**2 - 1/4*z**4 + z - 1/3*z**p. Factor t(k).
-(k - 1)*(k + 1)**2
Let g be 1351/21 - (-4)/6. Let i be ((-13)/g)/((-3)/5). Find t such that 0*t + 1/3*t**3 - 2/3*t**2 + 0 + i*t**4 = 0.
-2, 0, 1
Let c(q) be the first derivative of 9*q**5/10 + 21*q**4/8 + 3*q**3/2 - 9*q**2/4 - 3*q - 6. Factor c(i).
3*(i + 1)**3*(3*i - 2)/2
Suppose 0 = s - 3*s + 2. Let o be -9*2*s/(-6). Find p, given that o*p**4 + 3*p**4 - 4*p**4 + 24*p - 5*p**4 + 18*p**3 - 36*p**2 = 0.
0, 2
Suppose -590 = -8*t - 574. Solve -4/7 + 2/7*n**3 + 0*n**t - 6/7*n = 0.
-1, 2
Let z = 13488 + -647453/48. Let t = 1/16 - z. Solve -2/3*y - t*y**2 + 0 = 0.
-1, 0
Let d = 239 + -235. Factor -4/15*m**3 - 2/15*m**d + 2/15*m**5 - 2/15 + 2/15*m + 4/15*m**2.
2*(m - 1)**3*(m + 1)**2/15
Solve 2/3*r**2 + 14/3*r**5 + 25/3*r**4 + 13/3*r**3 + 0*r + 0 = 0.
-1, -1/2, -2/7, 0
Let x be -2 - (-3)/((-12)/(-16)). Factor 0 - 8/7*l**4 - 6/7*l**5 + 0*l**x + 0*l + 8/7*l**3.
-2*l**3*(l + 2)*(3*l - 2)/7
Let q(i) be the first derivative of i**8/168 - 2*i**7/105 + i**5/15 - i**4/12 - 3*i**2/2 - 3. Let g(y) be the second derivative of q(y). Factor g(w).
2*w*(w - 1)**3*(w + 1)
Let q(d) be the second derivative of -2*d**6/25 - 7*d**5/50 + d**3/15 + 5*d. Suppose q(a) = 0. Calculate a.
-1, -1/2, 0, 1/3
Let -4/7*t**4 + 8/7*t - 2/7*t**5 + 0 + 6/7*t**3 + 16/7*t**2 = 0. What is t?
-2, -1, 0, 2
Let c(g) be the third derivative of g**6/420 + g**5/14 + 3*g**4/4 + 7*g**3/3 + 21*g**2. Factor c(z).
2*(z + 1)*(z + 7)**2/7
Let d(z) = 54*z**3 - 96*z**2 + 43*z + 12. Let y(s) = -9*s**3 + 16*s**2 - 7*s - 2. Let j(o) = -6*d(o) - 39*y(o). Factor j(v).
3*(v - 1)**2*(9*v + 2)
Let a(b) be the third derivative of b**10/604800 - b**8/80640 + b**5/30 - 2*b**2. Let j(m) be the third derivative of a(m). Find v such that j(v) = 0.
-1, 0, 1
Suppose 25 = -7*g + 81. Let h(o) be the third derivative of 0 + 0*o**3 + 0*o**4 + 0*o**5 + 0*o + 1/336*o**g - 2*o**2 + 1/120*o**6 + 1/105*o**7. Factor h(l).
l**3*(l + 1)**2
Factor 2/3*p**3 + 8/3*p + 10/3*p**2 + 0.
2*p*(p + 1)*(p + 4)/3
Let d(i) = -i**2 - 1. Suppose -56 = 2*g + 2*g. Let j(y) = 12*y**2 + 7*y + 9. Let f(u) = g*d(u) - 2*j(u). Factor f(c).
-2*(c + 1)*(5*c + 2)
Let u(g) = 3*g**5 - 2*g**4 + 2*g**3 + 2*