 245*s**3 + 266*s**2 + 8 - 343/3*s**4 = 0.
-3, 2/7
Let f(y) be the first derivative of -y**3/2 + 6*y**2 - 24*y - 40. Factor f(s).
-3*(s - 4)**2/2
Let u be ((-24)/(-14))/((-2)/(-7)). Determine d, given that 6*d + 4*d + 2*d**2 - u*d = 0.
-2, 0
Let o(d) be the third derivative of 1/210*d**6 + 0 + 0*d**4 + 6*d**2 + 0*d**5 + 0*d + 5/1176*d**8 + 1/105*d**7 + 0*d**3. Suppose o(x) = 0. Calculate x.
-1, -2/5, 0
Let v = 42 + -40. Find m such that -2/5*m**v + 2/5*m - 2/5*m**3 + 2/5*m**4 + 0 = 0.
-1, 0, 1
Factor 3*v**4 - 982 + 982 - 3*v**2.
3*v**2*(v - 1)*(v + 1)
Suppose -4*y + 4*d = d + 3, 5*d = 2*y + 5. Let f(x) = 4*x + y + 2*x + 6*x**2 + 2. Let a(w) = -w**3. Let b(z) = -2*a(z) + f(z). Factor b(k).
2*(k + 1)**3
Suppose g**3 + 2*g - 3*g**3 - 2*g**4 + g**2 + 0*g**2 + g**2 = 0. Calculate g.
-1, 0, 1
Let i be 4/1 + (12 - 13). Let z(n) be the first derivative of -1/4*n**6 + 9/10*n**5 + 0*n - 9/8*n**4 + 0*n**2 - 2 + 1/2*n**i. Factor z(g).
-3*g**2*(g - 1)**3/2
Let i(j) be the third derivative of -j**5/120 - j**4/48 + 18*j**2. Suppose i(z) = 0. Calculate z.
-1, 0
Suppose 0 = 3*a + 2*a - 5*f - 15, f + 1 = 2*a. Let r be (a - -4) + (3 - 5). Determine s so that 0*s - 4*s**3 + 25/4*s**5 + s**2 + 5/4*s**4 + r = 0.
-1, 0, 2/5
Factor -2 - 8/3*h**3 - 14/3*h**2 + 28/3*h.
-2*(h - 1)*(h + 3)*(4*h - 1)/3
Suppose 4*i = -3*z + 9 + 4, 5*z = 2*i - 13. Solve 1/2*l**2 + 2*l**i - 5/2*l**3 + 0 + 0*l = 0 for l.
0, 1/4, 1
Let s(h) be the second derivative of h**6/1800 - h**5/300 - h**4/40 - 2*h**3/3 - 4*h. Let a(v) be the second derivative of s(v). Solve a(j) = 0.
-1, 3
Let w be 8/(-20) + (-34)/(-10). Let -14*k**5 + 8*k**4 + 6*k**5 + 0*k**w - 2*k**3 = 0. Calculate k.
0, 1/2
Let g(q) be the first derivative of -q**6/36 - q**5/30 + 5*q**4/24 - q**3/6 + 15. Factor g(x).
-x**2*(x - 1)**2*(x + 3)/6
Let l(i) be the third derivative of i**6/40 + i**5/10 + i**4/8 + 5*i**2. Determine x, given that l(x) = 0.
-1, 0
Factor 3*b**2 + 0*b - 8 + 4*b**2 - 4*b - 3*b**2.
4*(b - 2)*(b + 1)
Let x = 142 - 1276/9. Suppose -2/9*n**3 + 0*n + x*n**2 + 0 = 0. What is n?
0, 1
Let r(b) = -b**2 - b + 2. Let h be r(3). Let f(u) = 3*u**2 - 3*u - 1. Let a(j) = -j**2 + j. Let d(p) = h*a(p) - 4*f(p). Determine s, given that d(s) = 0.
-1, 2
Let t(x) be the third derivative of x**5/75 - x**4/120 - 5*x**2. Find k, given that t(k) = 0.
0, 1/4
Suppose h + v = -v - 4, 0 = -3*h + 4*v + 8. Find y such that h*y - 2*y**2 + 0*y + 8 - 6 = 0.
-1, 1
Let q(h) be the first derivative of -h**5/40 + h**4/8 + h**3/12 - 3*h**2/4 + 6*h + 4. Let m(j) be the first derivative of q(j). Factor m(c).
-(c - 3)*(c - 1)*(c + 1)/2
Factor 2 + 9*b**2 + 16*b - 4*b**2 + 10 - b**2.
4*(b + 1)*(b + 3)
Let j(k) be the third derivative of -k**6/24 + k**5/2 - 55*k**4/24 + 5*k**3 + 12*k**2. Solve j(o) = 0 for o.
1, 2, 3
Let x(h) be the third derivative of -h**8/2240 - h**7/420 - h**6/240 + h**4/4 + 2*h**2. Let f(m) be the second derivative of x(m). Factor f(v).
-3*v*(v + 1)**2
Determine h so that 2*h**2 - 1 + 7*h**3 + 1 - 2*h**4 - 4*h - h**3 - 2*h**5 = 0.
-2, -1, 0, 1
Let x be (-12)/(-30) + (-218)/(-5). Let 14*v - 18*v**5 - 2 - x*v**3 + 3*v**2 + 5*v**2 - 60*v**4 + 8*v**2 - 2 = 0. Calculate v.
-2, -1, 1/3
Let p(v) be the third derivative of v**7/280 - 3*v**5/80 - v**4/16 + 6*v**2. What is y in p(y) = 0?
-1, 0, 2
Suppose 2*x + g - 7 = 0, -3*x - 2*g + 4 = -6. Solve 5*d**x - d**2 + 3*d**2 - 7*d**4 = 0 for d.
-1, 0, 1
Suppose 0 = -5*u + o - 4*o - 15, -5*u - 20 = 4*o. Suppose -3*z = -u*z - 6. Factor -1/5*b - 1/5*b**3 - 2/5*b**z + 0.
-b*(b + 1)**2/5
Suppose t = -4*o + 11, t - 2 = -3. Find r such that -5/4*r + 1/4*r**4 - 1/2 - 3/4*r**2 + 1/4*r**o = 0.
-1, 2
Let r(k) be the first derivative of k**8/5880 + k**7/1470 - k**5/210 - k**4/84 - k**3/3 + 3. Let b(x) be the third derivative of r(x). Factor b(i).
2*(i - 1)*(i + 1)**3/7
Let p be 3/(-9) + 4/(-6). Let t(d) = d**3 - d. Let z(w) = 15*w**4 - 11*w**4 - 5*w**3 + w + 10*w**4. Let g(o) = p*t(o) - z(o). What is r in g(r) = 0?
0, 2/7
Let r(k) = k**4 + k**2. Let p(n) = 13*n**4 + 7*n**2 + 2. Let v(l) = 2*p(l) - 22*r(l). Find u, given that v(u) = 0.
-1, 1
Let m(i) be the first derivative of i**3/9 + i**2/6 - 2*i/3 + 1. Find d, given that m(d) = 0.
-2, 1
Let j(t) be the second derivative of 1/45*t**4 + 4/15*t**3 - 1/225*t**6 + 0 - 2/75*t**5 - 3/5*t**2 - t. Factor j(u).
-2*(u - 1)**2*(u + 3)**2/15
Let p(q) be the second derivative of q**9/7560 - q**8/6720 - q**7/1260 + q**6/720 - q**4/4 - q. Let o(a) be the third derivative of p(a). Factor o(j).
j*(j - 1)*(j + 1)*(2*j - 1)
Find l, given that -5/3*l**5 + 0*l - 5*l**4 + 5/3*l**3 + 35/3*l**2 - 20/3 = 0.
-2, -1, 1
Let d(w) be the first derivative of w**6/21 - 2*w**5/35 - w**4/7 + 4*w**3/21 + w**2/7 - 2*w/7 - 7. Factor d(l).
2*(l - 1)**3*(l + 1)**2/7
Let m(s) be the third derivative of s**5/240 + s**4/96 - 5*s**2. Let m(j) = 0. Calculate j.
-1, 0
Let q(u) = -u**3 + 8*u**2 - 7*u + 2. Let v be q(7). Let f(c) be the second derivative of 1/12*c**4 + 0*c**v + 0 + 3*c + 1/6*c**3. Factor f(k).
k*(k + 1)
Suppose 15*r = 11*r + 20. Let s(h) be the third derivative of 1/120*h**6 + 0*h + 0 + 0*h**4 - 1/60*h**r + 0*h**3 - h**2. Determine q, given that s(q) = 0.
0, 1
Let j(t) = -t**3 - 3*t**2 + 1. Let n be j(-4). Factor -n*k**3 - 3*k**4 - k**4 - 14*k**2 - 4*k + 3*k**3.
-2*k*(k + 1)*(k + 2)*(2*k + 1)
Let p(i) be the first derivative of -7*i**5/20 + i**4 - i**3/2 - i**2 + 4*i - 2. Let o(d) be the first derivative of p(d). Factor o(z).
-(z - 1)**2*(7*z + 2)
Let d be 1/3 - 11/(-3). Let q = -5 - -7. Factor 2 + 3*j**5 - 3*j**2 - 2 - q*j + 3*j**3 + 7*j**d.
j*(j + 1)**3*(3*j - 2)
Let r(w) = -6*w**2 - 3*w + 4. Let p(i) = -i**2 - i. Suppose 0*u + 3*u = -63. Let g(l) = u*p(l) + 3*r(l). Factor g(o).
3*(o + 2)**2
Let v(f) be the second derivative of f**7/63 + f**6/45 - f**5/6 - f**4/18 + 8*f**3/9 - 4*f**2/3 - 8*f. Suppose v(x) = 0. Calculate x.
-2, 1
Let h(a) be the second derivative of -1/21*a**7 + 0*a**2 + 1/5*a**5 - 1/3*a**3 + 0*a**6 + 0 + 0*a**4 - 2*a. Determine s so that h(s) = 0.
-1, 0, 1
Let w = -131 - -131. Let 2*a**2 + 4/3*a + 0 + w*a**3 - 2/3*a**4 = 0. What is a?
-1, 0, 2
Let x(n) = n**2 - 3*n + 2. Let b be x(3). Find r, given that 0*r + 0 - 1/4*r**4 + 0*r**3 + 0*r**b + 1/4*r**5 = 0.
0, 1
Let r = -3/16 - -47/80. Let x(k) be the first derivative of -2/5*k + 1 - 2/15*k**3 - r*k**2. Factor x(v).
-2*(v + 1)**2/5
Let v be (-4)/24*-10*3. Let r(n) be the third derivative of 0*n**3 - 1/8*n**4 + 0*n + 0 + 2*n**2 - 1/40*n**6 + 1/10*n**v. Factor r(f).
-3*f*(f - 1)**2
Let m be ((-220)/14)/(36/(-168)). Let k = 74 - m. Find b, given that k + 1/3*b**2 + b = 0.
-2, -1
Suppose 0 = 3*x - m - 10, 9 = 4*x + 4*m - m. Determine a so that -5*a**4 + x*a**5 + 3*a**4 - 2*a**5 = 0.
0, 2
Suppose -4*w - 10 = -2*h - h, -30 = -5*h + 4*w. Let c be 4/(-3) + h/3. Factor -1/2*r**4 + 0 - 1/4*r + 1/4*r**3 + 1/2*r**c.
-r*(r - 1)*(r + 1)*(2*r - 1)/4
Let v(y) be the first derivative of -3/4*y**4 + 0*y**2 + 0*y + 0*y**3 + 0*y**5 + 2 + 1/2*y**6. Let v(n) = 0. What is n?
-1, 0, 1
Let g(f) be the first derivative of -f**6/540 - f**5/30 - f**4/4 + 2*f**3/3 - 2. Let d(t) be the third derivative of g(t). Solve d(q) = 0.
-3
Let w be (-16)/(-48) - 2/(-6). Let a(k) be the first derivative of 0*k - 1 + 1/4*k**4 + 1/2*k**2 + w*k**3. Factor a(v).
v*(v + 1)**2
Let f(h) be the first derivative of -h**3 + 3*h**2/2 - 8. Factor f(r).
-3*r*(r - 1)
Let r(l) = -4*l - 30. Let m be r(-8). Let n(p) be the first derivative of 3/5*p + 3/5*p**m + 1/5*p**3 - 4. Factor n(i).
3*(i + 1)**2/5
Let n(s) be the first derivative of -14*s**5/5 - 9*s**4/2 + 10*s**3/3 + 9*s**2 + 4*s - 4. Find i, given that n(i) = 0.
-1, -2/7, 1
Factor 4/13*c**3 + 0*c**2 - 4/13*c + 2/13*c**4 - 2/13.
2*(c - 1)*(c + 1)**3/13
Let m(w) = w**3 - 8*w**2 - 2*w - 6. Let g be m(8). Let v(o) = -o - 1. Let h(i) = i**3 - 3*i**2 - 8*i - 12. Let p(k) = g*v(k) + 2*h(k). Factor p(j).
2*(j - 1)**3
Let u = 151/240 + 3/80. Let b = 1 + -1. Find q, given that b - 2/3*q + 2/3*q**3 - u*q**4 + 2/3*q**2 = 0.
-1, 0, 1
Let z(h) be the third derivative of -h**5/140 + h**3/14 + 21*h**2. Factor z(i).
-3*(i - 1)*(i + 1)/7
Let t(s) be the second derivative of 0*s**4 - 1/120*s**5 - 6*s + 0 + 0*s**2 + 1/36*s**3. Factor t(m).
-m*(m - 1)*(m + 1)/6
Let a be 3/(3 - 3/2). Suppose -a*d - 14 = -4*p, -4*d = -2*p - 1 - 1. What is n