l**5 - 1/20*l**4 + 2/5*l**2 + 0 + 2/15*l**3 - 1/150*l**6. Factor p(f).
-(f - 1)*(f + 1)*(f + 2)**2/5
Let l(b) be the first derivative of -2*b**6/33 + 14*b**5/55 - 4*b**4/11 + 4*b**3/33 + 2*b**2/11 - 2*b/11 - 14. Factor l(m).
-2*(m - 1)**4*(2*m + 1)/11
Find y, given that -12/7*y**2 + 16/7 + 4/7*y**3 + 0*y = 0.
-1, 2
Let g be (-3)/(-9)*-1*-6. Factor 2/5*l**g + 4/5*l + 2/5.
2*(l + 1)**2/5
Determine r so that -r**2 + 2*r**4 - 4*r**4 + r**2 - 2*r**3 = 0.
-1, 0
Let k(o) be the second derivative of o**7/28 - o**6/10 + o**4/4 - o**3/4 + 15*o. Find v such that k(v) = 0.
-1, 0, 1
Suppose 2*o**3 - 10*o**2 + 8*o**2 - 18*o + 6*o = 0. Calculate o.
-2, 0, 3
Let v(k) be the first derivative of -k**7/168 - k**6/40 - 3*k**5/80 - k**4/48 + 3*k - 1. Let z(q) be the first derivative of v(q). Let z(n) = 0. What is n?
-1, 0
Let t(x) be the third derivative of x**7/105 + x**6/30 - x**5/30 - x**4/6 - 3*x**2. Find k such that t(k) = 0.
-2, -1, 0, 1
Let v(b) be the third derivative of -b**6/270 - b**5/120 + b**4/72 - b**3/2 + 3*b**2. Let u(q) be the first derivative of v(q). Factor u(j).
-(j + 1)*(4*j - 1)/3
Let y be ((-4)/3)/(6/(-45)). Let j be -8*2/y - -2. Determine r, given that 4/5 - 2/5*r**2 - j*r = 0.
-2, 1
Let s be 12/5 - (-6)/(-45)*3. Let c(r) be the third derivative of -3*r**s + 0 + 1/240*r**5 + 0*r + 0*r**3 + 1/96*r**4. Let c(a) = 0. Calculate a.
-1, 0
Factor -3/8*v**2 - 3/8 + 3/4*v.
-3*(v - 1)**2/8
Let k(r) be the second derivative of 1/10*r**5 - 5/6*r**4 + 8/3*r**3 - 4*r - 4*r**2 + 0. Factor k(j).
2*(j - 2)**2*(j - 1)
Let y(q) be the first derivative of -2*q**6/15 + q**5/15 + 2*q**2 + 6. Let g(l) be the second derivative of y(l). Suppose g(n) = 0. What is n?
0, 1/4
Solve -3*f**3 + 4*f**5 + 32*f**2 + 10*f**3 + 5*f**3 + 4*f**2 - 20*f**4 = 0 for f.
-1, 0, 3
Suppose 11 - 22*s + 21 + 21*s + 49*s - 108*s**3 - 72*s**2 = 0. Calculate s.
-2/3, 2/3
Let h be (4 - (-60)/(-64)) + -1 + -2. Let s(f) be the second derivative of 2*f - h*f**4 + 0 + 1/4*f**2 + 5/24*f**3. Solve s(o) = 0 for o.
-1/3, 2
Let d(f) be the second derivative of f**8/224 - 3*f**7/140 + 3*f**6/80 - f**5/40 - 2*f**2 + 11*f. Let c(m) be the first derivative of d(m). Factor c(r).
3*r**2*(r - 1)**3/2
Let c be 5 + 30/(-9) + 1/3. Let s(l) be the second derivative of 0 - 1/10*l**5 - 7/24*l**4 + 1/4*l**c + 2*l - 1/6*l**3. Factor s(o).
-(o + 1)**2*(4*o - 1)/2
Suppose 29 - 6 = -f. Let u = 25 + f. Factor -2/5 + 3/5*s - 3/5*s**3 + 2/5*s**u.
-(s - 1)*(s + 1)*(3*s - 2)/5
Suppose 3*z - 12 = -p, 3*p - z + 7 = 3. Let t(l) be the first derivative of 0*l**2 - 1/2*l**5 + p*l - 7/8*l**4 + 3 - 1/3*l**3. Factor t(k).
-k**2*(k + 1)*(5*k + 2)/2
Let i(r) be the second derivative of r**7/49 + 19*r**6/105 + 9*r**5/35 - r**4/3 - r**3 - 5*r**2/7 + 3*r - 6. Let i(z) = 0. What is z?
-5, -1, -1/3, 1
Let j(u) be the first derivative of 4*u**3/3 + 36*u**2 + 324*u - 12. Suppose j(o) = 0. Calculate o.
-9
Let k(i) be the third derivative of -2*i**5/135 - i**4/36 - 48*i**2. Suppose k(h) = 0. Calculate h.
-3/4, 0
Let r(l) be the second derivative of l**7/1260 - l**6/360 + l**4/3 - l. Let w(a) be the third derivative of r(a). Factor w(y).
2*y*(y - 1)
Let d be 2/6*(-13 - -4). Let p be (d/(-2))/((-27)/(-24)). Factor -4/3 - 1/3*k**2 + p*k.
-(k - 2)**2/3
Suppose -4*u + 12 = 2*u. Let r be -4 - -4 - u/(-4). What is v in -7/4*v**2 + r*v + 0 + 5/4*v**3 = 0?
0, 2/5, 1
Suppose -4*w + r + r = -18, w + 5*r = -23. Factor 4*f**4 - 3*f**3 + 2*f**3 - w*f**4 + 0*f**4.
f**3*(2*f - 1)
Let q(l) = l - 41. Let k be q(17). Let j be 3*(k/(-9) - 2). Factor 2/11*y**4 + 0*y + 2/11*y**3 + 0 - 4/11*y**j.
2*y**2*(y - 1)*(y + 2)/11
Let 7*p**2 + 2 + 3 - 14 + 33*p + 5*p**2 = 0. Calculate p.
-3, 1/4
Let b(j) be the second derivative of -7/15*j**3 + 0 - 1/75*j**6 + j - 1/10*j**5 - 2/5*j**2 - 3/10*j**4. Factor b(u).
-2*(u + 1)**3*(u + 2)/5
Let p = 7 - 41. Let t be p/(-119)*(-14)/(-6). Determine y so that 2/3*y**5 + 2/3*y**2 + 0*y - t*y**3 - 2/3*y**4 + 0 = 0.
-1, 0, 1
Let i be (4/(-10))/(4/(-20)). Let -3*c**2 - 5*c**2 + 32 + 4*c**3 + 15*c**i + 48*c + 17*c**2 = 0. What is c?
-2
Determine f so that 4*f**2 + 62 + 30*f - 8*f**2 + 163 + 5*f**2 = 0.
-15
Let q = -2 - 6. Let t = q + 11. Determine l so that 8*l - t*l**2 - 24*l**3 - 53*l**2 + 122*l**3 = 0.
0, 2/7
Let u = 2 - -1. What is y in 3 + 2*y - 2*y**5 + 4*y**u - 5 - 2*y**4 - 4*y + 4*y**2 = 0?
-1, 1
Let j = 129 - 129. What is k in 3/2*k**3 + 3/2*k**5 + j - 3*k + 9/2*k**2 - 9/2*k**4 = 0?
-1, 0, 1, 2
Let s = 3044/7 + -434. Find y such that s*y**4 - 4/7*y**3 + 0 - 2/7*y**2 + 0*y = 0.
-1/3, 0, 1
Solve -1/3*f**5 + 0 + 5/3*f**4 - 2*f**3 + 8/3*f - 4/3*f**2 = 0 for f.
-1, 0, 2
Factor 0 - 3/7*f**4 + 0*f + 0*f**2 - 3/7*f**3.
-3*f**3*(f + 1)/7
Let a = 40 + -38. Let k(u) be the first derivative of -1/3*u**3 - 3/4*u**a + 3 - 1/2*u. Find z, given that k(z) = 0.
-1, -1/2
Let g(t) = -t**3 - 8*t**2 - 5*t - 12. Let n be g(-8). Let x be 24*(32/n - 1). Suppose 2/7 + 2*f + x*f**2 = 0. Calculate f.
-1/3, -1/4
Let s(h) = 5*h**2 + 25*h + 17. Let c(j) = 5*j**2 + 25*j + 18. Let z(m) = -3*c(m) + 2*s(m). Determine t so that z(t) = 0.
-4, -1
Let y(j) = 2*j**3 + 20*j. Let m = 9 + -10. Let i be 0/2 - (m - -5). Let x(k) = k**3 + 7*k. Let l(r) = i*y(r) + 11*x(r). What is q in l(q) = 0?
-1, 0, 1
Let u(a) = 4*a + 1 + 3 - 5. Let m be u(1). Factor -j**2 - j**2 + 2 + m*j**3 - 2*j - j**3.
2*(j - 1)**2*(j + 1)
Let t = -2/25 - -79/675. Let y(h) be the third derivative of 1/90*h**5 + 0*h + t*h**3 + 0 + 1/540*h**6 + 1/36*h**4 - 3*h**2. Let y(q) = 0. What is q?
-1
Let t(l) be the second derivative of -1/60*l**6 + 1/4*l**2 - 1/20*l**5 + 0*l**4 + 6*l + 1/6*l**3 + 0. Factor t(q).
-(q - 1)*(q + 1)**3/2
Suppose -5*c = -d - 10, 0 = -5*c - 5*d - 0*d + 10. Let 1 + c - q + q**2 - 3 = 0. What is q?
0, 1
Factor 1/3*g + 1/6*g**2 - 1/6*g**3 + 0.
-g*(g - 2)*(g + 1)/6
Suppose 0 = -3*x + 2*f, -3*f + 2*f = 4*x. Factor 2/9*j + x - 4/9*j**2 + 2/9*j**3.
2*j*(j - 1)**2/9
Let d(l) = -l**2 + 1. Let x(k) = 8*k + 0*k**2 - 10*k - 5 - k**2 + 7*k**2. Let h(p) = 5*d(p) + x(p). Factor h(q).
q*(q - 2)
Let u(y) be the third derivative of 2*y**7/105 + y**6/15 + y**5/15 - 14*y**2. What is p in u(p) = 0?
-1, 0
Determine d, given that 15/2*d + 12*d**2 + 6*d**3 + 3/2 = 0.
-1, -1/2
Let c be (1/2*-6)/(-1). Factor 1 + b**2 - 3*b**2 + 2*b + c*b**2.
(b + 1)**2
Let s(m) = -m**2 - m - 1. Let k(n) = 2*n**2 + 16*n + 17. Let l(v) = k(v) + s(v). Let z be l(-14). Factor -2/5*j**z - 1/5*j**3 + 2/5 + 1/5*j.
-(j - 1)*(j + 1)*(j + 2)/5
Find l such that -412*l + 31*l**2 - 22 + 40 - 3*l**2 - 138 = 0.
-2/7, 15
Let o(l) be the second derivative of -4/165*l**6 - 2*l - 1/22*l**5 + 0*l**3 - 1/231*l**7 - 1/33*l**4 + 0*l**2 + 0. Factor o(z).
-2*z**2*(z + 1)**2*(z + 2)/11
Let t(u) = -u**2 + 3*u - 10. Let p(q) = q + 2. Let w be p(0). Let z(m) = w*m + m**2 - 4*m + 2*m + 1. Let i(h) = -t(h) - 4*z(h). Solve i(r) = 0.
-2, 1
What is i in -1/6*i + 1/3 - 1/6*i**2 = 0?
-2, 1
Suppose 4*k = -k + 10. Suppose 0 = -3*i, -k*i = 3*v + 2*i - 15. Factor 2*t**2 - t**v - 2*t**4 + 7*t**3 - 7*t**3 - t + 2*t**5.
t*(t - 1)**3*(t + 1)
Suppose 0 = -d + 5*c + 3, -5*d - 2*c + 0 = -15. Suppose 3/7*x**d + 3/7 + 9/7*x**2 + 9/7*x = 0. What is x?
-1
Let z = -15 - -18. Factor -r**2 + 5*r**2 - z*r**4 - r**2 - 3*r**3 + 3*r + 0*r**3.
-3*r*(r - 1)*(r + 1)**2
Solve 6*w**2 - w**3 + 9 + 9*w - 4*w**2 - 3*w**2 = 0.
-3, -1, 3
Factor -126*u**3 + 245*u**3 - 122*u**3 + u**2 + 2*u.
-u*(u - 1)*(3*u + 2)
Let y(s) be the third derivative of 0 + 0*s + s**2 + 3/5*s**5 + 8/3*s**3 - 2*s**4. Solve y(a) = 0 for a.
2/3
Suppose l = -4*j - 8, -3*j - j = -l + 8. Factor l + 1/2*v**2 - 5/4*v**3 + 0*v - 7/4*v**4.
-v**2*(v + 1)*(7*v - 2)/4
Let g = 1/143 + 569/429. Factor -2/3*a**2 - 2*a - g.
-2*(a + 1)*(a + 2)/3
Let z = -31 - -31. Let k(g) be the second derivative of z - 1/3*g**6 + 17/10*g**5 - 7/2*g**4 - g - 2*g**2 + 11/3*g**3. Suppose k(q) = 0. Calculate q.
2/5, 1
Suppose 2*a - 4*a = -3*d + 8, 0 = -4*a + 3*d - 4. Let 5*y**2 + a*y - 2*y**2 - 3*y**2 - y**2 = 0. Calculate y.
0, 2
Let x = 50 - 46. Let v(m) be the first derivative of 1/2*m**x + 2/3*m**3 - 2*m**2 + 0*m + 2. Solve v(j) = 0.
-2, 0, 1
Suppose 4*x = 3*o + 3, 4*o = 3*x - 4*x - 4. Factor 0*h + 0*h**2 - h**4 + x*h**3 + 3/2*h**5 + 0.
h**4*(3*h - 2)/2
Let r(o) be the third derivative of 1/60*o**5 - 1/6*o**3 + 1/120*o**6 + 0*o + 3*o**2 - 1/24*o