*3/2 + 2*d + 2. Let s(z) be the first derivative of t(z). Factor s(a).
-3*a*(a - 2)*(a + 1)/2
Let t = 1 - 4. Let w be (138/(-21))/(-2) + t. Find x such that w*x + 2/7*x**2 - 4/7 = 0.
-2, 1
Let -2/3*v**4 + 2/3*v + 0 + 2*v**3 - 2*v**2 = 0. Calculate v.
0, 1
Let q(i) be the third derivative of -1/9*i**3 - 4/45*i**5 + 0*i - i**2 - 1/8*i**4 - 1/105*i**7 + 0 - 7/180*i**6 - 1/1008*i**8. Factor q(m).
-(m + 1)**4*(m + 2)/3
Let b be (-2)/(-4)*(-24)/(-20). Let k(z) be the second derivative of -b*z**5 - 5/9*z**3 + z - 11/12*z**4 - 1/6*z**2 + 0. Let k(d) = 0. Calculate d.
-1/3, -1/4
Let d(v) be the first derivative of -v**6/3 - 6*v**5/5 - 18. Let d(y) = 0. Calculate y.
-3, 0
Let j(s) be the third derivative of -1/20*s**6 + 1/70*s**7 + 1/112*s**8 + 0*s + 0 + 1/2*s**3 - 1/10*s**5 + 1/8*s**4 + 5*s**2. Factor j(i).
3*(i - 1)**2*(i + 1)**3
Let g(f) be the first derivative of f**5/150 - f**4/20 + 2*f**3/15 + 3*f**2/2 + 4. Let l(w) be the second derivative of g(w). Factor l(q).
2*(q - 2)*(q - 1)/5
Let s(y) = y**3 + 12*y**2 + 12*y + 4. Let v(d) = 2*d**3 + 12*d**2 + 12*d + 4. Let i(q) = -2*s(q) + 3*v(q). Factor i(j).
4*(j + 1)**3
Let r(b) be the second derivative of -b**9/7560 + b**8/4200 + b**3/3 - b. Let q(n) be the second derivative of r(n). Solve q(c) = 0 for c.
0, 1
Let g = -1 - 2. Let h be (-5 + 5)/(g - -1). Factor -5/2*d**3 + h - 2*d**4 - 1/2*d**2 + 0*d.
-d**2*(d + 1)*(4*d + 1)/2
Suppose -19 = 8*g - 43. Factor -3/5*u**g - 9/5*u**2 - 9/5*u - 3/5.
-3*(u + 1)**3/5
Let q be 5/(25/10) + -32. Let r = q + 61/2. Solve -1/2*a + 0 + r*a**2 = 0.
0, 1
Let d(n) = 5*n**2 + 4*n + 9. Let u(z) = -z**2 - z - 2. Let h(i) = -i**3 + 4*i**2 + i - 2. Let v be h(4). Let w(r) = v*d(r) + 9*u(r). Factor w(j).
j*(j - 1)
Let f(g) be the third derivative of g**7/15 + 3*g**6/20 - g**5/6 - 3*g**4/4 - 2*g**3/3 - 8*g**2. Factor f(s).
2*(s - 1)*(s + 1)**2*(7*s + 2)
Let l(u) = 11*u**3 - 5*u**2 - 8. Let a(c) = -7*c**3 + 3*c**2 + 5. Let g = 16 + -11. Let z(s) = g*l(s) + 8*a(s). What is v in z(v) = 0?
-1, 0
Let b = -3/4 - -1. Let g(u) be the first derivative of -1/2*u**2 + 2 - 1/4*u + 1/12*u**6 - 1/3*u**3 + b*u**5 + 1/8*u**4. Suppose g(k) = 0. What is k?
-1, -1/2, 1
Suppose -5*q - 3*r = 0, -4*r - 28 + 5 = -q. Suppose 5*i + 20 = v, 5*v - q*i + 7*i + 16 = 0. Factor 0*o**3 - 2/3*o**4 + 0 + 2/3*o**2 + v*o.
-2*o**2*(o - 1)*(o + 1)/3
Let x(u) be the first derivative of -1/24*u**4 + 4 + 1/30*u**5 + 0*u + 1/12*u**2 - 1/18*u**3. Factor x(d).
d*(d - 1)**2*(d + 1)/6
Let k(u) be the third derivative of -u**5/15 - u**4/6 + 4*u**3/3 - 31*u**2. Factor k(d).
-4*(d - 1)*(d + 2)
Let u = -13 + 18. Let z(r) be the second derivative of -1/60*r**u + 0 + 0*r**4 + 1/126*r**7 + 0*r**2 - r + 0*r**6 + 0*r**3. Factor z(f).
f**3*(f - 1)*(f + 1)/3
Let d be (1 - 40/16)/((-42)/8). Determine j, given that -2/7*j**2 + 4/7*j - d = 0.
1
Let d be 15/(-10) + (-3)/(-6). Let h be (d/2)/((-3)/2). Factor h*k + 0*k**2 - 1/6*k**4 - 1/3*k**3 + 1/6.
-(k - 1)*(k + 1)**3/6
Suppose 2*t + a = -5, 2*t = a - 0*a + 5. Suppose 0 = -t*b + 4*b. Factor 1/2*v**2 + 1/2*v + b.
v*(v + 1)/2
Let -l**4 + 4*l**2 - 23*l**2 + 15*l**2 + 4*l**3 = 0. Calculate l.
0, 2
Let f(y) be the third derivative of -5*y**6/156 + y**5/26 + 3*y**4/52 + y**3/39 + 9*y**2. Factor f(r).
-2*(r - 1)*(5*r + 1)**2/13
Let h = -2 - -7. Suppose 0 = h*p + o - 11, -5*p + 3*o = -6 - 21. Determine w, given that -w**p + 0*w - 1/2*w**2 + 0 = 0.
-1/2, 0
Let u(l) = -3*l**4 + 8*l**3 + 3*l**2 - 12*l. Let k(n) = -5*n**4 + 15*n**3 + 5*n**2 - 25*n. Let d(o) = -2*k(o) + 5*u(o). Determine g so that d(g) = 0.
-1, 0, 1, 2
Factor -3/7*h**2 + 9/7*h**3 - 6/7*h + 0.
3*h*(h - 1)*(3*h + 2)/7
Let b(o) be the first derivative of 2 - 3/5*o**5 - 3/2*o**2 + o**3 + 0*o + 3/4*o**4. Factor b(d).
-3*d*(d - 1)**2*(d + 1)
Solve 0 - 2/3*f**3 + 0*f + 0*f**2 - 7/2*f**5 + 10/3*f**4 = 0.
0, 2/7, 2/3
Let l be 1*4 - (4 + 1)/5. Factor 0*q + 32/5*q**4 - 14/5*q**5 + 4/5*q**2 + 0 - 22/5*q**l.
-2*q**2*(q - 1)**2*(7*q - 2)/5
Let p(w) = -9*w**4 - 27*w**3 + 42*w**2 - 47*w - 11. Let j(u) = -5*u**4 - 14*u**3 + 21*u**2 - 24*u - 6. Let c(o) = 11*j(o) - 6*p(o). What is b in c(b) = 0?
0, 2, 3
Let b(h) be the second derivative of -1/15*h**3 - 2*h - 1/10*h**2 - 1/60*h**4 + 0. Factor b(c).
-(c + 1)**2/5
Suppose -6*r = -3*r - 12, 0 = -5*t + 4*r + 4. Let 3*v**2 - t*v - 5*v - 13 + 19 = 0. Calculate v.
1, 2
Let l = 136 + -1631/12. Let i(d) be the first derivative of -1/16*d**4 - l*d**3 + 1/8*d**2 + 1 + 1/4*d. Find u such that i(u) = 0.
-1, 1
Let o(j) be the third derivative of -j**5/150 - j**4/20 - 2*j**3/15 + 3*j**2. Determine d, given that o(d) = 0.
-2, -1
Suppose 1 - 10 = 3*d, 2*p = 5*d + 11. Let q(v) = -v**4 + 3*v**3 + 3*v**2 + 5*v. Let j(a) = -4*a**3 - 4*a**2 - 4*a. Let h(b) = p*q(b) - 3*j(b). Factor h(l).
2*l*(l + 1)**3
Let q(t) = 20*t**2 - 16*t - 18. Let w be -36*(-2 + 0 - -3). Let r(i) = i**2 - i - 1. Let y(a) = w*r(a) + 2*q(a). Factor y(d).
4*d*(d + 1)
Suppose 5*c = 9*c. Factor -1/4*s**2 + c + 0*s - 1/4*s**3.
-s**2*(s + 1)/4
Let w(b) be the second derivative of -b**4/9 + 2*b**2/3 - 8*b. What is q in w(q) = 0?
-1, 1
Let t(k) = -3*k + 2. Let l be t(3). Let c(q) = -5*q**2 - 3*q - 3. Let y(x) = 11*x**2 + 7*x + 7. Let a(p) = l*c(p) - 3*y(p). What is b in a(b) = 0?
0
Let h(z) be the first derivative of 1/30*z**5 + 0*z - 1/360*z**6 + 1 - 1/6*z**4 + 2/3*z**3 + 0*z**2. Let k(f) be the third derivative of h(f). Factor k(o).
-(o - 2)**2
Let y = 24 - 22. Let t = -3 + 6. Determine b so that -2 + t*b + 3 - 3 - b**y = 0.
1, 2
Let a(w) = 2*w**3 + 2*w**2 + 1. Let j be a(2). Factor 3*r**2 + 0*r**2 - 13 + j + 12*r.
3*(r + 2)**2
Factor 8/3 + 52*z**2 + 44/3*z**4 + 140/3*z**3 + 68/3*z.
4*(z + 1)**3*(11*z + 2)/3
Let w(u) be the second derivative of u**6/75 - u**5/10 + 2*u**4/15 - u. Suppose w(y) = 0. Calculate y.
0, 1, 4
Let v(h) be the third derivative of h**7/630 + h**6/90 + h**5/30 + h**4/18 + h**3/18 + 3*h**2. Suppose v(q) = 0. What is q?
-1
Let x(n) be the second derivative of 0*n**5 + n**2 + 1/15*n**6 + 0 + 0*n**3 + 6*n - 1/3*n**4. What is m in x(m) = 0?
-1, 1
Let v(f) be the first derivative of 2*f**5/35 + 3*f**4/14 + 2*f**3/7 + f**2/7 + 35. Let v(s) = 0. What is s?
-1, 0
Let s(f) be the first derivative of -f**4/14 - 2*f**3/21 + 2*f**2/7 + 6. Determine h, given that s(h) = 0.
-2, 0, 1
Let c(d) = -5 - d**2 + 3*d + 2*d + 8*d**2. Let z(q) = 5 - 5*q**2 + 10*q + 9*q**2 + 10*q**2 - 14. Let g(f) = 5*c(f) - 3*z(f). Factor g(k).
-(k + 1)*(7*k - 2)
Let k(n) = 60*n + 360. Let l be k(-6). Factor 4/3*v**4 - 2/3*v + 2*v**3 + l*v**2 + 0.
2*v*(v + 1)**2*(2*v - 1)/3
Let r be (-3)/(-2) + 1/2. Let a(h) be the first derivative of -5/7*h**r + 2/7*h + 8/21*h**3 - 2. Factor a(p).
2*(p - 1)*(4*p - 1)/7
Find a such that 11*a**2 + 7*a**2 + a**2 - 5*a**3 + 10*a - 14*a**2 = 0.
-1, 0, 2
Factor -3/2 + 15/2*p - 15*p**2 - 15/2*p**4 + 3/2*p**5 + 15*p**3.
3*(p - 1)**5/2
Let y be (-3 - -2)*-1 + 1. Suppose 8 = -h - 5*k, 2*h - y = -0*h - k. Factor -w - h*w**3 - w**2 + 2*w**3 + 1 + w**3.
(w - 1)**2*(w + 1)
Suppose -v - a = 0, -2*v + 3*v - 10 = 4*a. Let s(c) = -4*c - 1. Let r be s(-1). Factor v*l**2 - l**3 + r*l**3 - l**4 - 3*l**2.
-l**2*(l - 1)**2
Suppose o = 8 - 5. Factor 5*x - 2 - 6*x**2 + 4*x**3 - 2*x**o + 2*x**2 - x**3.
(x - 2)*(x - 1)**2
Suppose -19 = 2*n - 5*n + 2*w, n - w = 5. Suppose -5*y + 1 = -n. Let -3/2*r - 1 - 1/2*r**y = 0. What is r?
-2, -1
Let m(p) be the first derivative of -1/30*p**4 + 1/30*p**3 + 0*p**2 - 2 + 1/100*p**5 - 2*p. Let n(y) be the first derivative of m(y). Factor n(g).
g*(g - 1)**2/5
Let x be -2 + -24 - (1 + -3). Let i be 6/8 - (-2)/x. Factor -1/3*g**5 + g - i*g**3 + 1/3 + 2/3*g**2 - g**4.
-(g - 1)*(g + 1)**4/3
Let a = 56 - 53. Factor -18/7*y - 8/7*y**a + 4/7 + 24/7*y**2.
-2*(y - 2)*(2*y - 1)**2/7
Let o(f) be the third derivative of -1/90*f**5 - 2/9*f**3 + 1/12*f**4 + 0 + 0*f + 3*f**2. Determine v, given that o(v) = 0.
1, 2
Let u be (-8)/(-10) + 208/(-360). Let -2/9*g**2 + u + 0*g = 0. What is g?
-1, 1
Let x = -2/5 + 9/10. Determine m, given that -x*m**2 - 1/2 + m = 0.
1
Let w(r) be the second derivative of -r**4/150 + 2*r**3/75 - r**2/25 - 2*r. Factor w(h).
-2*(h - 1)**2/25
Suppose 2*h = p - 7, 2*p - 10*h + 12*h = 2. Factor -2/7*b**2 - 2/7*b**p + 0*b + 0.
-2*b**2*(b + 1)/7
Determine i so that 1/3*i + 1/3*i**2 - 2/3 = 0.
-2, 1
Let f(y) = -2*y - 16. Let o be f