 4*j**5/3 - 5*j**4/6 + 22*j**2. Solve w(a) = 0 for a.
0, 2/5, 1, 2
Suppose 2*b + 14 = 10*u - 7*u, -4*u - 2*b = 0. Factor -15/7*w**u - 9/7*w**3 + 12/7 + 12/7*w.
-3*(w - 1)*(w + 2)*(3*w + 2)/7
Let z(p) = -8*p + 3*p**3 + 2*p**5 + 6*p**4 - 3*p**3 - 3*p**3 + 3*p. Let i(h) = -h**5 + h. Let b(l) = 5*i(l) + z(l). Suppose b(c) = 0. What is c?
0, 1
Suppose 2*u = -2*u - 60. Let x(q) = 4*q**5 + 4*q**4 - 6*q**3 + 4*q**2 + 4*q. Let b(k) = -k**5 - k. Let j(p) = u*b(p) - 3*x(p). Factor j(f).
3*f*(f - 1)**4
Let d(v) be the third derivative of 0*v - 4/525*v**7 + 0 - 3*v**2 - 1/15*v**3 - 1/30*v**4 + 1/50*v**5 + 1/75*v**6. Find o, given that d(o) = 0.
-1/2, 1
Factor 3*a + 9/2 + 1/2*a**2.
(a + 3)**2/2
Factor 100/3*f**3 - 2 + 40/3*f - 40/3*f**4 + 16/9*f**5 - 290/9*f**2.
2*(f - 3)**2*(2*f - 1)**3/9
Let h be (-3 + 8)*(-2)/(-2). Let u = -4 + h. Let l(c) = -c**3 - c**2. Let a(v) = v**3 + 2*v**2 + v. Let g(b) = u*a(b) + 2*l(b). What is k in g(k) = 0?
-1, 0, 1
Let q(b) be the first derivative of b**8/672 + b**7/210 - b**2/2 + 1. Let i(r) be the second derivative of q(r). Determine t so that i(t) = 0.
-2, 0
Let d(b) = b**3 - b**2 + 2*b - 3. Let j be d(2). Factor 2*g + 3*g**3 - j*g**3 + g**3 - g**2.
-g*(g - 1)*(g + 2)
Suppose -4*s = 3*z - 24, 0*s - s = z - 7. Factor -4 - z*j - 3 - 2*j**2 + 5.
-2*(j + 1)**2
Let z(w) be the second derivative of w**7/2940 - w**6/1260 - w**5/210 - 5*w**3/6 + 2*w. Let j(o) be the second derivative of z(o). Factor j(h).
2*h*(h - 2)*(h + 1)/7
Let o(y) be the first derivative of 2*y**3/45 - 2*y/15 - 2. Let o(q) = 0. Calculate q.
-1, 1
Suppose i = 4*c - 257, -i = 5*c + i - 318. Factor -c*t - t**3 + 64*t.
-t**3
Let l(u) be the third derivative of u**9/52920 - u**8/23520 - u**7/4410 - u**4/24 - 3*u**2. Let v(t) be the second derivative of l(t). What is o in v(o) = 0?
-1, 0, 2
Factor -2/5*s**3 + 0 + 14/5*s**2 - 4*s.
-2*s*(s - 5)*(s - 2)/5
Let l(k) = -k**3 + k**2 + 2*k + 2. Let h be l(0). Let v be 0/(1*(h - 0)). Let v*y + 1/3*y**2 - 1/3 = 0. Calculate y.
-1, 1
Let s be (-30)/4 - (-1)/2. Let c be -1*(1 + s) - 1. Factor 1 - 2*l**2 + 3*l**3 + 3*l**c - l**3 + l**4 - l - 4*l**5.
-(l - 1)**3*(l + 1)**2
Factor -8/5*u - 6/5*u**2 - 2/5.
-2*(u + 1)*(3*u + 1)/5
Factor -1/3*s - 7/6*s**2 + 0.
-s*(7*s + 2)/6
Let l(f) be the first derivative of -3 + 3*f**2 - 1/2*f**4 + 4*f + 0*f**3. Factor l(m).
-2*(m - 2)*(m + 1)**2
Find v, given that 4/9*v**2 + 32/9*v + 64/9 = 0.
-4
What is u in -6*u**2 - 2*u**2 + 5*u**2 - 2*u**2 + 45 = 0?
-3, 3
Let d(v) = -v**3 + 4*v**2 + 4. Let x be d(4). Factor 0 + 4 + 2*u - 2*u**2 - x*u.
-2*(u - 1)*(u + 2)
Let f(x) = 2*x - 2. Let o be f(2). Suppose -5*y = -y. Factor -2/3*s**3 + 4/3*s**o + y - 2/3*s.
-2*s*(s - 1)**2/3
Let w(s) be the first derivative of 3*s**5/20 - s**3/4 - 3. Suppose w(o) = 0. Calculate o.
-1, 0, 1
Let o be (-418)/5 - (-18)/30. Let l = o + 251/3. Solve l*y**2 - 8/3*y**3 + 0*y + 0 = 0.
0, 1/4
Let y = 78 + -153/2. Let f(k) be the first derivative of -y*k + 15/4*k**4 + 1/4*k**6 - 2 - 3/2*k**5 - 5*k**3 + 15/4*k**2. Determine c, given that f(c) = 0.
1
Let z be (2/(-8))/(102/(-72) - -1). Factor -z*c**5 + 0*c + 0 + 0*c**4 + 0*c**3 + 0*c**2.
-3*c**5/5
What is t in 4*t + 3*t + 3*t**3 - 6*t**2 + 0*t**3 - 4*t = 0?
0, 1
Let u(s) be the third derivative of s**7/840 - s**6/240 - s**5/240 + s**4/48 + 7*s**2. Factor u(z).
z*(z - 2)*(z - 1)*(z + 1)/4
Let a(w) = -5*w + 1. Let d be a(-6). Let b = -62 - -91. Suppose -10*s - d + b - s - 12*s**2 = 0. What is s?
-2/3, -1/4
Let m = 140 + -140. Let -2/9*g**2 + m*g + 0 = 0. Calculate g.
0
Find k such that 8/3*k**2 + 0 + 0*k + 2/3*k**3 = 0.
-4, 0
Let m(v) be the second derivative of -3*v - 9/70*v**5 + 0 + 2/21*v**3 + 13/105*v**6 - 5/147*v**7 + 0*v**2 - 1/42*v**4. What is j in m(j) = 0?
-2/5, 0, 1
Let u(l) be the first derivative of l**6/1260 - l**5/70 + 3*l**4/28 + 4*l**3/3 + 2. Let t(j) be the third derivative of u(j). Factor t(r).
2*(r - 3)**2/7
Determine g so that -3/2 - 1/2*g**2 - 5/2*g + 1/2*g**3 = 0.
-1, 3
Suppose 42*i = 47*i - 10. Find g such that 0 - 2/7*g**3 - 4/7*g**i - 2/7*g = 0.
-1, 0
Let d(j) be the second derivative of -j**5/10 + j**4 - 4*j**3 + 8*j**2 + 5*j. Let d(q) = 0. Calculate q.
2
Let p = -52 - -55. Let 1/4*g + 1/2*g**2 + 0 + 1/4*g**p = 0. Calculate g.
-1, 0
Let i(g) be the first derivative of g**7/420 - g**5/20 + g**4/6 - g**3/3 - 2. Let m(z) be the third derivative of i(z). Find v such that m(v) = 0.
-2, 1
Suppose -2/7*k**4 + 8/7*k + 0*k**2 + 0 - 6/7*k**3 = 0. Calculate k.
-2, 0, 1
Let w(m) = -m**3 + m**2 - m - 1. Suppose 0 = -0*l - 3*l - 9. Let y = -4 - -3. Let h(z) = 6*z**3 + 5*z**2 + 6*z + 1. Let r(v) = l*w(v) + y*h(v). Factor r(a).
-(a + 1)*(a + 2)*(3*a - 1)
Let d(b) be the first derivative of b**3/12 + b**2/8 + 7. Factor d(q).
q*(q + 1)/4
Let j(t) be the second derivative of -t**5/5 - t**4/3 - t. Factor j(r).
-4*r**2*(r + 1)
Let h(n) be the third derivative of -n**8/3360 + n**7/840 - n**5/120 + n**4/6 + 7*n**2. Let x(y) be the second derivative of h(y). Factor x(r).
-(r - 1)**2*(2*r + 1)
Let s(d) be the second derivative of d**5/50 - 2*d**4/15 - d**3/3 + d. Factor s(u).
2*u*(u - 5)*(u + 1)/5
Let g(y) be the first derivative of -2*y**5/45 - 2*y**4/9 - y**3/3 - 2*y**2/9 - 4*y - 2. Let s(c) be the first derivative of g(c). Factor s(l).
-2*(l + 2)*(2*l + 1)**2/9
Let x(p) be the third derivative of p**8/2520 + p**7/630 + p**6/540 + 4*p**3/3 - 3*p**2. Let w(a) be the first derivative of x(a). What is f in w(f) = 0?
-1, 0
Let u(k) be the third derivative of -1/48*k**4 + 0 + 0*k**3 - 1/60*k**5 + 0*k - 7*k**2 - 1/240*k**6. Factor u(t).
-t*(t + 1)**2/2
Let w(j) be the third derivative of 0 + 1/30*j**5 + 3*j**2 + 0*j + 0*j**4 + 0*j**3. Find m such that w(m) = 0.
0
Let k(x) be the first derivative of x**3 + 9*x**2/2 + 10. Determine f, given that k(f) = 0.
-3, 0
Factor 3/4*c + 3/8*c**2 + 3/8.
3*(c + 1)**2/8
Factor 5*r**3 + 1 - 1 + 8*r**2 - r**3.
4*r**2*(r + 2)
Let x(b) be the second derivative of -7*b**8/24 - b**7/5 + 2*b**6/5 - 2*b**5/15 - b**2 - 2*b. Let j(p) be the first derivative of x(p). Factor j(v).
-2*v**2*(v + 1)*(7*v - 2)**2
Let f be 29/(-261)*(-3 + 1). Factor -f + 4/9*v - 2/9*v**2.
-2*(v - 1)**2/9
Let r(b) be the first derivative of 2*b**5/5 + b**4 - 2*b**2 - 2*b + 13. Factor r(n).
2*(n - 1)*(n + 1)**3
Find f, given that 10*f**2 - 2*f - 8 + 13 - 7 + 0 - 6*f**3 = 0.
-1/3, 1
Let f be 1/(0 - -1)*12. Let q be (1/(-3))/(7/(-63)) - -3. Suppose -q*s**2 + f*s - 2 - s - 4*s = 0. What is s?
1/2, 2/3
Let r(y) = y**4 - 11*y**3 - 10*y**2 - y - 3. Let a(h) = -h**4 + 21*h**3 + 20*h**2 + 3*h + 5. Let o(v) = -3*a(v) - 5*r(v). Determine j so that o(j) = 0.
-2, -1, 0
Let a be ((-2)/(-6))/((-15)/(-6) - 2). Factor -7/3*o**4 + 0 + a*o**5 - 5/3*o**2 + 3*o**3 + 1/3*o.
o*(o - 1)**3*(2*o - 1)/3
Let b(z) = z**3 - 4*z**2 - 6*z + 7. Suppose -q + 2 = -3. Let d be b(q). Find o such that 2*o + d - 4*o + 0*o - 2*o**2 + 2*o**3 = 0.
-1, 1
Let j(u) = u. Let c be j(2). Factor -y**3 - y - y**2 + 0*y**2 - 3*y**2 + 2*y**c.
-y*(y + 1)**2
Determine c, given that -3*c**2 + c**2 - 2*c**5 + 0*c**4 + 2*c**3 + 2*c**4 = 0.
-1, 0, 1
Let v(l) be the second derivative of l**7/10080 - l**5/480 + l**4/6 + l. Let h(j) be the third derivative of v(j). Find n, given that h(n) = 0.
-1, 1
Suppose -5*b + b = 0. Let y(i) be the third derivative of 0*i**3 + 0 - 1/90*i**5 + 0*i**4 + 1/315*i**7 + b*i + 0*i**6 - i**2. Factor y(g).
2*g**2*(g - 1)*(g + 1)/3
Let y be 7/105*10/4. Let o(w) be the first derivative of 1/4*w + 3/8*w**2 - 1 + y*w**3. Find v such that o(v) = 0.
-1, -1/2
Let m(y) be the first derivative of y**6/27 - 4*y**5/45 + y**4/18 + 6. Suppose m(s) = 0. What is s?
0, 1
What is m in 2/23*m**2 + 2/23 - 4/23*m = 0?
1
Let t(a) be the second derivative of -a**4/48 + 5*a**3/24 - a**2/2 - 3*a + 6. Determine m, given that t(m) = 0.
1, 4
Let g(b) be the second derivative of b**6/30 - b**4/6 + b**2/2 - 3*b. Determine c, given that g(c) = 0.
-1, 1
Let u(q) = -243*q**2 - 108*q - 9. Let s(p) = 243*p**2 + 108*p + 8. Let f(k) = -3*s(k) - 4*u(k). Let f(x) = 0. What is x?
-2/9
Factor 5*c**4 + 110*c**2 + 45 - 38*c - 40*c**3 - 30*c - 70*c + 18*c.
5*(c - 3)**2*(c - 1)**2
Suppose -4*s + d + 3*d + 28 = 0, 5*d + 23 = s. Factor -5*q**s + 6*q**3 - 4*q**4 - 5*q + 4*q + 4*q**2.
-q*(q - 1)*(q + 1)*(4*q - 1)
Suppose -2/3*j**3 + 2/3*j**2 + 1/3*j**5 - 1/3*