5*a**2 - a**i + 3/5*a**3 + 2/5*a + 0 = 0. Calculate a.
-1, -2/5, 0, 1
Let f be 6/(-3) + (-256)/(-108). Let o = f + -1/27. Factor -1/3*b**3 + 1/3*b + 1/3*b**4 + 0 - o*b**2.
b*(b - 1)**2*(b + 1)/3
Let n(o) = 15*o**3 + 29*o**2 + 18*o - 1. Let l(y) = -44*y**3 - 86*y**2 - 54*y + 2. Let f(m) = 5*l(m) + 14*n(m). Factor f(g).
-2*(g + 1)**2*(5*g + 2)
Let d(w) = -w**3 + 5*w**2 - 2*w - 11. Let x be d(5). Let s be ((-3)/9)/(x/14). Let 8/9 - 8/9*h + s*h**2 = 0. What is h?
2
Suppose v = -2*v - 39. Let r = -8 - v. Factor 0*u**2 + 1/3*u**4 + 0*u**3 + 1/3*u**r + 0 + 0*u.
u**4*(u + 1)/3
Suppose -24 = k - 2*k. Suppose 32 - k = 4*m. Find f such that 3/2 + 9/2*f - 6*f**m = 0.
-1/4, 1
Let v(x) be the third derivative of x**2 - 1/240*x**5 + 1/96*x**4 + 1/12*x**3 + 0 + 0*x. Factor v(f).
-(f - 2)*(f + 1)/4
Let i = -21 - -23. Let y(j) be the second derivative of -1/72*j**4 - i*j - 1/9*j**3 - 1/3*j**2 + 0. Let y(s) = 0. Calculate s.
-2
Let g(n) be the first derivative of -2/3*n**3 - 2*n**2 - 2*n + 1. Factor g(v).
-2*(v + 1)**2
Let u(n) be the second derivative of -2*n**6/15 + 3*n**5/5 - 2*n**4/3 - 6*n. What is x in u(x) = 0?
0, 1, 2
Let w = 4 - 7. Let o be (-4 - w)*4/(-2). Factor -2/9*b**3 + 8/9*b**o - 10/9*b + 4/9.
-2*(b - 2)*(b - 1)**2/9
Let g(s) be the second derivative of -s - 2/3*s**3 - 1/6*s**4 - s**2 + 0. Factor g(u).
-2*(u + 1)**2
Suppose 2*r + 2*t - 14 = 0, 4*t + 1 = -r + 5*t. Let c be (12/(-9))/((-2)/r). Factor 2*f + c + f**2 - 1 + 0.
(f + 1)**2
Let k(x) be the third derivative of -x**9/6048 - x**8/3360 + x**7/840 - x**3/2 - 3*x**2. Let f(i) be the first derivative of k(i). Find t, given that f(t) = 0.
-2, 0, 1
Let w(q) = -8 + 5 - 23*q - 9 - q**2. Let c(g) = -2*g**2 - 34*g - 18. Let y(n) = 5*c(n) - 7*w(n). Determine a, given that y(a) = 0.
-2, -1
Let a be 15/9*(1 - -2). Let r(i) be the first derivative of 1/2*i**2 + 3/2*i**4 + 0*i + 1/6*i**6 + 4/5*i**a + 4/3*i**3 + 4. Factor r(y).
y*(y + 1)**4
Let w(p) be the second derivative of -5*p**7/42 + p**6/6 + 5*p**5/4 - 5*p**4/12 - 20*p**3/3 - 10*p**2 - 28*p. Factor w(y).
-5*(y - 2)**2*(y + 1)**3
Let b(p) = -p**3 + 2*p**2 + 5*p - 4. Let r be b(3). Let m = r + -1. Find a such that -2*a**4 - 4*a - 2*a**3 + m + 3 - 15*a**2 + 7*a**4 = 0.
-1, 2/5, 2
Let j = 54140/9 - 3788117/630. Let l = j + -21/10. Determine n, given that -2/7*n**2 - 2/7*n + l = 0.
-2, 1
Suppose -5 = 3*d + 19. Let n(h) = -h**3 - 8*h**2. Let o be n(d). Factor 2/7*z + o + 2/7*z**2.
2*z*(z + 1)/7
Let l be (-14)/7*3/(-1 - 2). Let 48/5*t**l + 2/5 + 18/5*t + 32/5*t**3 = 0. Calculate t.
-1, -1/4
Let g(v) = -2*v**2 - 8*v - 4. Let n = -7 + 10. Let u be (-14)/(-6) - (-2)/n. Let o(j) = -j**2 - 7*j - 3. Let p(t) = u*g(t) - 4*o(t). Solve p(c) = 0 for c.
0, 2
Factor 15/2*k**3 + 9/2*k**2 + 3/2*k**4 - 27/2*k + 0.
3*k*(k - 1)*(k + 3)**2/2
Let j be (-44)/(-90) - (1180/(-90) + 13). Factor 0*t + j - 3/5*t**2.
-3*(t - 1)*(t + 1)/5
Let n be (2/(-5))/(12/20). Let h = -1/3 - n. Determine y, given that h*y**3 + 0 - 1/3*y**2 - 2/3*y = 0.
-1, 0, 2
Factor 2/7*y**2 + 162/7 + 36/7*y.
2*(y + 9)**2/7
Suppose -1 - 3*l**2 - 5*l + 0 + 9*l**2 - 10*l**2 = 0. Calculate l.
-1, -1/4
Let h(p) be the second derivative of p**9/18900 + p**8/5600 - p**6/1800 - 3*p**4/4 - 5*p. Let j(d) be the third derivative of h(d). Factor j(c).
2*c*(c + 1)**2*(2*c - 1)/5
Find w, given that -78 + 4*w**2 - 4*w - 75 + 4*w**3 + 149 = 0.
-1, 1
Let m(k) be the first derivative of -k**4/2 - k**3/3 + 5*k**2/2 - 2*k - 1. Let m(c) = 0. Calculate c.
-2, 1/2, 1
Let u be 176/(-110) - -2*1. Determine z so that 0*z - 2/5*z**3 + 0 + u*z**2 = 0.
0, 1
Suppose 0 = 4*o - 12 - 4. Let t be 0*o/8*1. Factor 2/3*d**4 - 2/3*d**2 + t*d + 0 + 0*d**3.
2*d**2*(d - 1)*(d + 1)/3
Suppose -1/4*j**4 + 0*j + 1/2*j**3 - 1/4*j**2 + 0 = 0. What is j?
0, 1
Let b = -636 + 636. Factor 1/3*s**2 + s + b.
s*(s + 3)/3
Factor 4/3*n**2 + 2/3*n + 0 + 2/3*n**3.
2*n*(n + 1)**2/3
Let q(h) be the third derivative of h**5/45 + h**4/6 + 4*h**3/9 - 3*h**2. Factor q(x).
4*(x + 1)*(x + 2)/3
Solve 4*q**4 - 9 - 8*q**3 - q**2 + 8*q + 9 - 3*q**2 = 0.
-1, 0, 1, 2
Let r(t) be the first derivative of -2*t**5/15 + 2*t**4/3 + 4*t**3/9 - 4*t**2 - 6*t + 36. Factor r(s).
-2*(s - 3)**2*(s + 1)**2/3
Let y be 124/168 - 4/7. Let i(u) be the second derivative of -1/6*u**2 + 0 - y*u**3 - 2*u - 1/12*u**4 - 1/60*u**5. Factor i(t).
-(t + 1)**3/3
Let x be 2*4/8*2. Let c(g) be the first derivative of 0*g**x - 1 - 16/3*g**4 + 0*g + 154/15*g**5 + 8/9*g**3 - 49/9*g**6. Factor c(y).
-2*y**2*(y - 1)*(7*y - 2)**2/3
Let o(r) be the second derivative of -r**7/60 - 13*r**6/360 - r**5/30 - r**4/3 - 7*r. Let f(b) be the third derivative of o(b). Factor f(m).
-2*(3*m + 1)*(7*m + 2)
Let i(c) be the first derivative of c**6/24 + c**5/10 - c**3/6 - c**2/8 + 10. Solve i(z) = 0.
-1, 0, 1
Let g(z) be the second derivative of 0*z**4 - 1/105*z**7 + 0 - 1/25*z**6 + 5*z + 0*z**3 + 0*z**2 - 1/25*z**5. Let g(v) = 0. What is v?
-2, -1, 0
Let r = -2/87 - -20/29. Factor -r + 2/3*o - 1/6*o**2.
-(o - 2)**2/6
Let q(m) be the second derivative of -1/480*m**6 + 1/2*m**2 + 0 + 0*m**5 + 0*m**3 + 2*m + 1/96*m**4. Let n(y) be the first derivative of q(y). Factor n(l).
-l*(l - 1)*(l + 1)/4
Let n(s) be the third derivative of -3*s**5/80 - 7*s**4/96 + s**3/12 - s**2 - s. Factor n(x).
-(x + 1)*(9*x - 2)/4
Let w = -16 - -10. Let q be (-2)/w - (-7)/105. Suppose -3/5*t + 1/5*t**2 + q = 0. Calculate t.
1, 2
Suppose -32 = -5*j - 12. Factor -1/2*t**j + 0 + 1/2*t**2 + 1/2*t**3 - 1/2*t.
-t*(t - 1)**2*(t + 1)/2
Let l(s) be the second derivative of -s**6/15 - s**5/20 + 5*s**4/12 - s**3/3 - 20*s. Find w such that l(w) = 0.
-2, 0, 1/2, 1
Let n(r) be the second derivative of r**4/48 - r**3/8 + r**2/4 + r. Factor n(d).
(d - 2)*(d - 1)/4
Let y(a) be the first derivative of 8*a**3/33 - 21*a**2/11 + 10*a/11 - 66. Factor y(b).
2*(b - 5)*(4*b - 1)/11
Let u(a) be the third derivative of -a**7/84 - 17*a**6/240 - 2*a**5/15 - a**4/12 + 4*a**2. Suppose u(w) = 0. What is w?
-2, -1, -2/5, 0
Let f be 3 - -2 - 304/64. Let r = -1/59 - -63/236. Factor 0*b + 0 + f*b**2 + r*b**3.
b**2*(b + 1)/4
Let w(k) = 3*k - 4*k**2 + 0 - 5*k - 4. Let n(s) = -7*s**2 - 4*s - 7. Let u(y) = -6*n(y) + 10*w(y). Let u(g) = 0. Calculate g.
-1
Let b(r) be the second derivative of r**5/20 + r**4/12 + 6*r. Factor b(a).
a**2*(a + 1)
Factor 2/5*a**4 + 2*a**3 + 0 + 16/5*a**2 + 8/5*a.
2*a*(a + 1)*(a + 2)**2/5
Let y be (-55731)/182 - 4/14. Let t = y + 320. Suppose 1/2*z + 9/2*z**2 + 0 + t*z**3 + 27/2*z**4 = 0. Calculate z.
-1/3, 0
Suppose -3*f + 2 = 3*d - 13, 5*f = 15. Let h be -3*2/2*-1. Determine s so that d*s**2 + 5*s + h*s + 0*s + 8 = 0.
-2
Let r = 41/66 + 1/22. Let n(p) be the second derivative of 0*p**2 + p + 0 + 1/6*p**4 + r*p**3 - 1/10*p**5. Factor n(g).
-2*g*(g - 2)*(g + 1)
Suppose -2*h = -a + 30, -5*h + 2*a + 2 = 76. Let z = h - -14. Factor -2/5*b**3 + 0 + z*b**2 + 0*b - 1/5*b**4.
-b**3*(b + 2)/5
Let z be (-22)/(-33)*(-3)/(-4). Factor -z*d**2 - 1/2*d**4 + 3/2*d**3 - 3/2*d + 1.
-(d - 2)*(d - 1)**2*(d + 1)/2
Let v be 4/(-1) - (-14)/2. Suppose 21*a - 10*a**4 - 9*a**5 + 34*a**4 - 18*a**2 - 6 - 3*a**v - 9*a**3 = 0. Calculate a.
-1, 2/3, 1
Let r = -65/14 - -36/7. Factor -r*u**2 - 1/2*u + 1.
-(u - 1)*(u + 2)/2
Let m(g) be the first derivative of 8/3*g + 1/4*g**4 - 10/9*g**3 + 2/3*g**2 + 4. Factor m(n).
(n - 2)**2*(3*n + 2)/3
Let y(x) be the second derivative of -3*x**4/10 - 13*x**3/10 - 3*x**2/5 + 2*x - 27. Let y(w) = 0. Calculate w.
-2, -1/6
Let o = 6 - 6. Let h(p) be the second derivative of 1/24*p**4 - 2*p + 0 + 1/40*p**5 + 0*p**3 + o*p**2. Factor h(j).
j**2*(j + 1)/2
Let b(u) be the third derivative of 7*u**7/50 + 7*u**6/40 - 13*u**5/100 + u**4/40 + 15*u**2. Solve b(p) = 0.
-1, 0, 1/7
Let c be 1/(33/(2 + 1)). Let n = 31/99 - c. Factor 4/9*f**2 + 0 + 2/9*f + n*f**3.
2*f*(f + 1)**2/9
Determine q, given that 1/4*q + 1/4*q**5 - q**2 + 3/2*q**3 - q**4 + 0 = 0.
0, 1
Let y = -6 - -3. Let b be 0 + 0 - y/9. Factor r + 1/3 + r**2 + b*r**3.
(r + 1)**3/3
Let y = 64 - 60. Let d(c) be the second derivative of -2*c - 1/24*c**y + 0 - 1/6*c**3 + 0*c**2. Suppose d(h) = 0. Calculate h.
-2, 0
Let z(f) = 4*f**3 - 33*f**2 + 6*f + 20. Let t be z(8). Factor 8/5 + 1/5*x**5 - 12/5*x + 11/5*x**3 - 2/5*x**2 - 6/5*x**t.
(x - 2)**3*(x - 1)*(x + 1)/5
Factor -16 + 0*j**2 + 0*j**2 - 3*j**2 - 9*j**2 + 24*j + 2*j**3