tive of -5*d**4/14 + 8*d**3/7 - 9*d**2/7 + 4*d/7 - 2. Factor u(f).
-2*(f - 1)**2*(5*f - 2)/7
Let l(a) be the first derivative of 1/5*a**2 + 2/15*a**3 + 8 - 4/5*a. Factor l(t).
2*(t - 1)*(t + 2)/5
Let x = -226 - -226. Determine o so that -1/5*o**3 - 1/5*o**5 + 2/5*o**4 + 0*o**2 + x + 0*o = 0.
0, 1
Let m(i) be the first derivative of i**6/10 - 12*i**5/25 + 9*i**4/10 - 4*i**3/5 + 3*i**2/10 + 1. Determine y so that m(y) = 0.
0, 1
Let a(k) be the first derivative of -14*k**3 + 343/15*k**5 + 6 + 8/3*k + 245/12*k**4 - 10/3*k**2. Suppose a(r) = 0. Calculate r.
-1, -2/7, 2/7
Let r(f) = f**3 + 11*f**2 + 9*f - 7. Let o be r(-10). Solve -6*n**4 + 0*n**3 + 12*n**4 - 4*n**o - 2*n**5 = 0 for n.
0, 1, 2
Let k(w) be the third derivative of 0 + 0*w - 1/24*w**4 + 0*w**3 + 1/20*w**5 + 3*w**2. Solve k(n) = 0 for n.
0, 1/3
Let w(g) = 18*g**5 + 30*g**4 - 10*g**3 - 23*g**2 + 1. Let t(f) = 9*f**5 + 15*f**4 - 5*f**3 - 11*f**2. Let n(i) = -7*t(i) + 4*w(i). Factor n(d).
(d + 1)**3*(3*d - 2)**2
Determine h so that 6*h**2 + 2*h**2 - 3*h**2 = 0.
0
Let a be -3 - (-68)/12 - 0. Determine n so that 0 + 2/3*n**4 + 16/3*n**2 - 10/3*n**3 - a*n = 0.
0, 1, 2
Let m(l) be the third derivative of -l**8/96 - l**7/210 + 7*l**6/240 + l**5/60 - 22*l**2. Let m(p) = 0. Calculate p.
-1, -2/7, 0, 1
Let c(f) = 9*f**3 + 6*f**2 + 3. Let h(v) = 4*v**3 + 3*v**2 + 1. Let m(i) = 4*c(i) - 10*h(i). Factor m(s).
-2*(s + 1)**2*(2*s - 1)
Let c = -151/3 - -51. Let o(j) be the second derivative of j**2 + 2*j + 0*j**4 - 1/15*j**6 - c*j**3 + 0 + 1/5*j**5. Factor o(b).
-2*(b - 1)**3*(b + 1)
Let l(a) be the third derivative of -5*a**8/672 - 11*a**7/420 - 7*a**6/240 - a**5/120 + 7*a**2. What is j in l(j) = 0?
-1, -1/5, 0
Determine x so that 3/2*x - 2*x**3 + 0*x**4 - x**2 + 1/2*x**5 + 1 = 0.
-1, 1, 2
Suppose -q + 4 = 2*c, 4*c - q = q - 8. Let 0 - 1/4*u**5 - 1/2*u**4 - 1/4*u**3 + c*u**2 + 0*u = 0. What is u?
-1, 0
Let i(g) = 3*g - 6. Let x be i(2). Let j(v) be the third derivative of -v**2 + 0*v**3 + 0 + 0*v + x*v**4 + 1/240*v**5. Suppose j(r) = 0. Calculate r.
0
Let w(h) = 3*h**4 + 4*h**3 - 5*h + 5. Let r(g) = -3 + 1 - g**4 + 0*g**2 + 2*g - 2*g**3 + 0*g**2. Let n(k) = -10*r(k) - 4*w(k). Factor n(y).
-2*y**3*(y - 2)
Let p be 20/16 + (-3)/(-4). Let j be ((-9)/((-9)/4))/p. Solve -6*t**j + 0 + 14/3*t**3 + 4/3*t = 0.
0, 2/7, 1
Let c(s) be the first derivative of -s**3/3 + 2*s**2 + s - 5. Let x(f) = -f**2 + 5*f + 2. Let j(z) = -3*c(z) + 2*x(z). Factor j(d).
(d - 1)**2
Let b(f) = -5*f**2 - 5*f - 12. Let k(r) = -r**2 - 1. Let h(l) = b(l) - 6*k(l). Factor h(a).
(a - 6)*(a + 1)
Factor 0*u**3 + 0 - 5/2*u**4 + 0*u + 5/2*u**2.
-5*u**2*(u - 1)*(u + 1)/2
Let f(u) be the second derivative of u**5/150 + u**4/30 - 2*u**2 - 5*u. Let x(h) be the first derivative of f(h). Let x(m) = 0. Calculate m.
-2, 0
Let z = -38 - -38. Let -2*s**4 + 10/3*s**3 + 0*s + z - 4/3*s**2 = 0. What is s?
0, 2/3, 1
Factor -2/5*j + 0 + 9/5*j**2.
j*(9*j - 2)/5
Let z be ((-2)/4)/(1/8*-1). Suppose i = 1 + 1. What is k in -6*k**2 + i*k**3 + 2*k + 4*k**3 + 4*k**4 - 6*k**z = 0?
0, 1
What is f in -32/3 + 272/3*f**3 + 80*f**2 - 64/3*f + 70/3*f**4 = 0?
-2, -2/7, 2/5
Let k(j) be the second derivative of j**6/6 - 5*j**5/4 + 15*j**4/4 - 35*j**3/6 + 5*j**2 + 10*j. Factor k(l).
5*(l - 2)*(l - 1)**3
Let w = -84/11 + 179/22. Factor 3/4*h + 1/4*h**2 + w.
(h + 1)*(h + 2)/4
Let r(u) be the first derivative of -u**4/2 - 10*u**3/3 + u**2 + 10*u + 5. Factor r(l).
-2*(l - 1)*(l + 1)*(l + 5)
Suppose 14*u = 10*u. Let f(l) be the second derivative of 1/80*l**5 + 0 + 0*l**2 - 1/24*l**3 + u*l**4 - 2*l. Factor f(g).
g*(g - 1)*(g + 1)/4
Let k(j) be the third derivative of -j**5/180 - 2*j**4/9 - 5*j**3/6 + 27*j**2 - 2*j. Find x such that k(x) = 0.
-15, -1
Let g(c) be the first derivative of c**7/4200 - c**5/200 - c**4/60 + 4*c**3/3 - 5. Let k(h) be the third derivative of g(h). Let k(m) = 0. Calculate m.
-1, 2
Factor 12/5*s**2 + 0 + 2/5*s**3 + 18/5*s.
2*s*(s + 3)**2/5
Suppose 5*j + 5*r = 0, -24 = 5*j - 8*j + 5*r. Factor o**2 + 4*o**2 + 2 - 4*o**2 - j*o.
(o - 2)*(o - 1)
Suppose 0*h = -3*h. Suppose h = -3*g - 0 + 6. Solve -2/9*m + 2/9*m**g + 2/9*m**3 - 2/9 = 0 for m.
-1, 1
Let n = -10 - -13. Find l such that -6*l**2 + 5 - n + 3*l**3 - 2 = 0.
0, 2
Let r(z) be the second derivative of z**7/105 + z**6/40 - z**4/24 - z**2/2 + z. Let b(d) be the first derivative of r(d). Factor b(k).
k*(k + 1)**2*(2*k - 1)
Let j(l) be the first derivative of 3*l**5/25 + 2*l**4/5 + 7*l**3/15 + l**2/5 + 7. Find r such that j(r) = 0.
-1, -2/3, 0
Factor -2/11*d**2 + 0*d + 0 - 2/11*d**3.
-2*d**2*(d + 1)/11
Let k(p) be the first derivative of 3*p**5/20 - 3*p**4/8 + 3*p**2/4 - 3*p/4 - 5. Solve k(f) = 0.
-1, 1
Let g be (-3)/(-1) - (-2)/(-2). Let -6*i**5 + g*i**4 + 9*i**5 - 5*i**5 = 0. What is i?
0, 1
Factor 6*f**3 + 1 - 3*f**5 - 6*f**4 + 34*f**2 + 5 - 10*f**2 + 21*f.
-3*(f - 2)*(f + 1)**4
Factor -1 + c**2 + 0 + 3*c + 1 + 2.
(c + 1)*(c + 2)
Let y(c) be the first derivative of 2*c**5/35 + 2*c**4/7 + 4*c**3/7 + 4*c**2/7 + 2*c/7 + 16. Let y(v) = 0. What is v?
-1
Let k(g) = g**3 + 3*g**2 + 2*g + 4. Let d be k(-3). Let x be (-28)/14*3/d. Factor -3/2*z**4 + 0*z + 0 - 3/2*z**2 - 3*z**x.
-3*z**2*(z + 1)**2/2
Let f(j) be the third derivative of -j**3 + 7/8*j**4 + 0 - 7/40*j**6 + 1/10*j**5 - j**2 + 0*j. Let f(b) = 0. Calculate b.
-1, 2/7, 1
Let z(i) = i**2 + i. Let v(w) = -2*w**2 + w + 4. Let b(t) = -v(t) - 3*z(t). Let b(l) = 0. Calculate l.
-2
Let o(q) be the first derivative of 0*q**2 - 1/15*q**5 - 1/6*q**4 - 2 - 1/9*q**3 + 0*q. Factor o(z).
-z**2*(z + 1)**2/3
Let w = 1 - 1. Let n(k) be the first derivative of -2/3*k**2 - 2/9*k**3 + w*k + 2. Factor n(p).
-2*p*(p + 2)/3
Let z be (1 - 2)*4 + 6. Let h(t) be the second derivative of 0 + z*t + 0*t**2 - 1/54*t**4 + 0*t**3 + 1/90*t**5. Factor h(b).
2*b**2*(b - 1)/9
Let g = -4 + 8. Let u(p) be the third derivative of -1/56*p**8 - 11/12*p**g - 13/30*p**6 + p**2 + 0 + 2/3*p**3 + 2/15*p**7 + 0*p + 4/5*p**5. Factor u(y).
-2*(y - 1)**4*(3*y - 2)
Let d(j) be the second derivative of -j**9/22680 + j**4/3 - 4*j. Let w(l) be the third derivative of d(l). Factor w(x).
-2*x**4/3
Suppose -1/4*m**3 - 3/4*m**2 + 3/4 + 1/4*m = 0. What is m?
-3, -1, 1
Let k(h) = 20*h**5 + 20*h**4 - 8*h**2. Let j(n) = -7*n**5 - 7*n**4 + 3*n**2. Let i(x) = -8*j(x) - 3*k(x). What is t in i(t) = 0?
-1, 0
Solve 20 - 15*g**2 - 2*g**4 + 2*g**4 - 4*g**4 - 20*g**3 - g**4 + 20*g = 0 for g.
-2, -1, 1
Find f, given that 2/17*f**2 - 2/17*f**3 + 2/17*f**5 - 2/17*f**4 + 0*f + 0 = 0.
-1, 0, 1
Let y(v) be the first derivative of v**6/3 - 4*v**5/5 - 3*v**4/2 + 8*v**3/3 + 4*v**2 - 4. Factor y(n).
2*n*(n - 2)**2*(n + 1)**2
Determine y, given that 32*y - 5 - 16 - 20*y**2 + 5 + 4*y**3 = 0.
1, 2
Suppose -98*g + 20 = -94*g. Let v(q) be the second derivative of 1/18*q**3 + 1/18*q**4 - 4*q + 0 + 0*q**2 + 1/60*q**g. Factor v(r).
r*(r + 1)**2/3
Let i(m) be the first derivative of -2*m**5/45 + m**4/9 + 2*m**3/27 - 2*m**2/9 + 38. Factor i(t).
-2*t*(t - 2)*(t - 1)*(t + 1)/9
Let o(l) = l**3 + l - 1. Let z(r) = 2*r + 7*r**3 + 2*r - 2*r**2 - 3 - 3*r**3. Let w(t) = -6*o(t) + 2*z(t). Factor w(v).
2*v*(v - 1)**2
Let n be 2/(-1*(-1 + -4)). Let q = -23/5 - -5. Suppose -4/5*v + q*v**2 + n = 0. Calculate v.
1
Let i(p) be the first derivative of 1/12*p**4 - 2 + 0*p**3 - 1/2*p**2 - 4*p. Let a(w) be the first derivative of i(w). Factor a(m).
(m - 1)*(m + 1)
Let v = 9/2 - 13/3. Let t(d) be the second derivative of -1/20*d**5 + 0*d**4 - 1/4*d**2 + d + 0 + v*d**3 + 1/60*d**6. Suppose t(l) = 0. Calculate l.
-1, 1
Factor 0 - 2/9*g**3 - 2/9*g + 4/9*g**2.
-2*g*(g - 1)**2/9
Solve 0 + 2/7*q + 2/7*q**2 = 0.
-1, 0
Let x = -27419/60 + 457. Let b(d) be the third derivative of 2*d**2 + 0*d**3 + 0 + 0*d + 1/24*d**4 + x*d**5. Find z such that b(z) = 0.
-1, 0
Let m = 286 + -12869/45. Let i(o) be the third derivative of -2*o**2 + 1/36*o**4 + 1/180*o**6 + m*o**5 + 0 + 0*o + 0*o**3. Find y such that i(y) = 0.
-1, 0
Let o(w) = w + 1. Let m be o(2). Let x(z) be the first derivative of 1/2*z**4 - 2*z + 10/3*z**3 + 4/3*z**6 - z**2 + m - 16/5*z**5. Factor x(c).
2*(c - 1)**3*(2*c + 1)**2
Suppose 6*d - 4*d = 4. Suppose -2*r + 6 = 3*r - 2*t, -d*t = -4*r + 4. Factor -11/2*f**r + 3/2*f**3 + 6*f - 2.
(f - 2)*(f - 1)*(3*f - 2)/2
Let j(r) be the second derivative of -r**8/36960 + r**7/138