8*y + 4*y**3 + 2 - 13*y**2 + 11*y**2 = 0.
-3/2, 1
Let s(l) be the second derivative of -l**6/135 - l**5/90 + l**4/54 + l**3/27 - 7*l. Find g, given that s(g) = 0.
-1, 0, 1
Let o(y) = y**3 - 10*y**2 + 11*y - 10. Let l be o(9). Let d be l/9 - (0 - 0). Factor -2/9*s**4 - 8/9*s**3 - d*s - 4/3*s**2 - 2/9.
-2*(s + 1)**4/9
Let d(v) be the third derivative of v**3 - 1/20*v**5 + 0 - 3/8*v**4 + 3/40*v**6 - 11*v**2 - 1/70*v**7 + 0*v. Solve d(p) = 0 for p.
-1, 1, 2
Factor -3*r**4 + 20*r**3 - 24*r**2 - r**4 + 13*r + 32 - 18*r - 11*r.
-4*(r - 2)**3*(r + 1)
Let a = 113/42 + 9/14. Let g(f) be the first derivative of f**5 + a*f**3 + f - 5/2*f**4 - 1 - 1/6*f**6 - 5/2*f**2. Solve g(r) = 0 for r.
1
Let z = -873 + 128333/147. Let w(h) be the second derivative of 0 + z*h**7 + 9/70*h**5 + h + 1/21*h**3 + 5/42*h**4 + 1/15*h**6 + 0*h**2. What is s in w(s) = 0?
-1, -1/2, 0
Let m(x) be the second derivative of x**5/80 + x**4/16 - 3*x**3/8 + 5*x**2/8 + 8*x. Factor m(u).
(u - 1)**2*(u + 5)/4
Let z(k) = k**2. Let b(y) = y**3 - 3*y**2 - 5*y + 3. Let j(l) = -b(l) - 4*z(l). What is f in j(f) = 0?
-3, 1
Let v(a) = -2*a**2 - 4*a + 5. Let m(f) = -f**2 - 2*f + 3. Let n be (-3 - 6)*(-2)/6. Let t(s) = n*v(s) - 5*m(s). Solve t(l) = 0 for l.
-2, 0
Let d(m) = -m + 3. Let n be d(0). Suppose -4 = -n*k + 2. Factor 0*r**3 + 0 - 4/5*r**k + 2/5*r**5 - 2/5*r + 4/5*r**4.
2*r*(r - 1)*(r + 1)**3/5
Let n(z) be the second derivative of -1/120*z**6 + 0*z**2 + 1/48*z**4 + 0 + 1/12*z**3 + 2*z - 1/40*z**5. Find c, given that n(c) = 0.
-2, -1, 0, 1
Let t be 3/(-15)*15/(-6). Determine n so that -t*n + 1/2*n**2 - 1 = 0.
-1, 2
Let r(p) be the first derivative of -p**6/12 + p**5/5 - p**4/8 - 3. Factor r(f).
-f**3*(f - 1)**2/2
Let d(y) be the first derivative of -y**9/1512 + y**8/840 + y**7/420 - y**6/180 - 5*y**3/3 + 4. Let l(z) be the third derivative of d(z). Factor l(v).
-2*v**2*(v - 1)**2*(v + 1)
Let p(q) be the third derivative of 1/195*q**5 + 1/390*q**6 + 0 - 1/1365*q**7 - 1/156*q**4 + 4*q**2 - 1/2184*q**8 + 0*q - 1/39*q**3. Factor p(l).
-2*(l - 1)**2*(l + 1)**3/13
Let u = -93/44 - -7823/3696. Let w(p) be the third derivative of 0*p**4 + 0*p**3 + 1/120*p**6 - u*p**8 - 1/210*p**7 + 0 + 0*p + 1/60*p**5 + 2*p**2. Factor w(b).
-b**2*(b - 1)*(b + 1)**2
Let v be -1 + (2 - (-3 - 0)). Factor 3 - 3 - v + 3*k + 2 - k**3.
-(k - 1)**2*(k + 2)
Let t(x) be the third derivative of -x**7/70 + x**6/8 - x**5/20 - 21*x**4/8 + 9*x**3 + 6*x**2. Factor t(k).
-3*(k - 3)**2*(k - 1)*(k + 2)
Let a(q) be the third derivative of 0 - 3/20*q**6 + 0*q + 0*q**4 - 1/15*q**5 + 0*q**3 - 1/15*q**7 - 2*q**2. Factor a(u).
-2*u**2*(u + 1)*(7*u + 2)
Let y(m) be the third derivative of 2*m**7/105 + m**6/15 - 4*m**5/15 - m**4/3 + 2*m**3 - 34*m**2. Factor y(h).
4*(h - 1)**2*(h + 1)*(h + 3)
Let l(c) be the second derivative of -c**6/10 + 3*c**5/20 + 2*c**4 - 6*c**3 - 11*c. Let l(v) = 0. What is v?
-3, 0, 2
Let g = 204 - 68. Suppose 12*u + 178*u**3 + g*u**4 + 5*u + 112*u**2 + 4 + 17*u + 40*u**5 = 0. What is u?
-1, -1/2, -2/5
Let t(f) be the third derivative of f**7/8 + 29*f**6/96 - f**5/2 + 5*f**4/24 - 34*f**2. Let t(j) = 0. Calculate j.
-2, 0, 2/7, 1/3
Determine i, given that -12*i**3 - 3*i**2 - 18*i - 3*i**5 + 12*i**4 - 6 - 3*i**2 + 33*i = 0.
-1, 1, 2
What is i in 3*i - 10*i**4 - i**3 + 53*i - 5*i**3 - 12*i**2 + 12*i**4 - 48 = 0?
-3, 2
Solve 1/2*d - 1/2*d**4 + 1/2*d**2 + 0 - 1/2*d**3 = 0 for d.
-1, 0, 1
Let w = 1/12 - -1/6. Suppose 6 = 6*f - 3*f. Let 1/4*l**3 - 1/4 - 1/4*l + w*l**f = 0. What is l?
-1, 1
Determine w so that 0*w + 1/3*w**4 + 0 + 1/3*w**2 - 2/3*w**3 = 0.
0, 1
Suppose 1 = 2*q + 9. Let m be (-10)/q*4/5. Factor 1 + m - 5 + 2*a**2.
2*(a - 1)*(a + 1)
Let s be (-3)/(-4)*(-48)/(-162). Factor 0 + 0*x + 0*x**2 + 0*x**3 - s*x**4 - 2/9*x**5.
-2*x**4*(x + 1)/9
Let g(x) be the first derivative of x**4 + 8*x**3 + 18*x**2 + 16*x + 1. What is z in g(z) = 0?
-4, -1
Let f(p) be the first derivative of -1 + 4*p - 7/8*p**4 - 3/10*p**5 + 7*p**2 + 5/3*p**3. Determine d so that f(d) = 0.
-2, -1/3, 2
Let g = 10 - 19. Let a be 1 - 1 - 6/g. Find t such that -2/9*t**2 - 4/9 + a*t = 0.
1, 2
Let o(m) be the first derivative of 2*m**6/3 - 4*m**5 + 10*m**4 - 40*m**3/3 + 10*m**2 - 4*m - 4. Factor o(g).
4*(g - 1)**5
Solve -3/5*n**4 - 3/5*n**3 + 12/5*n**2 + 0 + 12/5*n = 0 for n.
-2, -1, 0, 2
Let 9*u - 1 - 4*u**2 - u + 1 = 0. What is u?
0, 2
Let n(a) = -a**2 - 7*a - 6. Let m be n(-6). Suppose m = -0*l - l + 20. Solve -3*v**3 - 3*v**2 + 15*v**3 + 5*v**4 - l*v**4 + 6*v**5 = 0 for v.
0, 1/2, 1
Let a(y) = y**2 - y - 5. Let u(q) be the second derivative of q**4/6 - 2*q**3/3 - 8*q**2 + 2*q. Let i(z) = 10*a(z) - 3*u(z). What is n in i(n) = 0?
-1, 1/2
Let f be (-21)/28 + (-86)/(-8). Factor -32/5*n**3 + 2*n**4 + 0*n + 0 + f*n**5 + 8/5*n**2.
2*n**2*(n + 1)*(5*n - 2)**2/5
Suppose -4*y = -3*b - 13, 2*y - b - 11 = -4*b. Factor 5/3*i**3 + 1/3*i + 0 + 2/3*i**y + 4/3*i**2.
i*(i + 1)**2*(2*i + 1)/3
Let y(l) be the second derivative of l**7/105 + 4*l**6/75 - 8*l**4/15 - 16*l**3/15 - 32*l. Factor y(p).
2*p*(p - 2)*(p + 2)**3/5
Let i(n) be the first derivative of n**7/63 + 2*n**6/45 + n**5/30 - 4*n + 3. Let g(a) be the first derivative of i(a). Let g(b) = 0. What is b?
-1, 0
Solve 6*l**4 + 162 + 3*l**3 + 3*l**5 - 162 = 0.
-1, 0
Let y be 1 + 1*2*-2. Let o be -6*y/((-27)/(-6)). Let -2*f**3 + 2*f - 7*f - o*f**4 + 5*f = 0. Calculate f.
-1/2, 0
Solve 2/19*j**4 + 0 + 6/19*j**2 - 2/19*j - 6/19*j**3 = 0.
0, 1
Let h = 117 - 117. Find r such that 0*r + 0*r**2 - 1/4*r**5 + h*r**4 + 0 + 1/4*r**3 = 0.
-1, 0, 1
Suppose -4*d = -4*q - 4, 0 = -2*d - q - 4*q + 30. Let g(c) = -c**2 + 5. Suppose -12 = y - 4*y. Let t(k) = k**2 - 6. Let p(b) = d*g(b) + y*t(b). Factor p(j).
-(j - 1)*(j + 1)
Factor 16/3*l**3 + 11/3*l**2 + 2/3*l + 0 + 7/3*l**4.
l*(l + 1)**2*(7*l + 2)/3
Let o be 0 - (3 - 2 - 4). Factor -2*n - n - n**2 - 3*n**o - 3*n**4 + 3*n - n**5.
-n**2*(n + 1)**3
Suppose -5*a + a + 8 = 0. Factor -t - a*t**2 + 0 + 9/4*t**4 + 3/4*t**3.
t*(t - 1)*(3*t + 2)**2/4
Let x be 9/36 - (-19)/4. Suppose 0 = m - x*m + 20. Factor 0*d**3 + 0*d + 0 + 1/5*d**m + 0*d**2 + 1/5*d**4.
d**4*(d + 1)/5
Let v(f) be the second derivative of -1/12*f**4 - 1/90*f**6 + 0*f**2 - 1/20*f**5 + 0 - 3*f - 1/18*f**3. Factor v(j).
-j*(j + 1)**3/3
Let c(f) = -f**3 + 2*f**2 + f + 1. Let l be c(2). Determine i so that -i**3 - 6*i + 0*i**l + i**3 + 3*i**4 - 9*i**2 = 0.
-1, 0, 2
Let g(f) = f**2 + 2*f + 3. Let s be g(-3). Suppose 4*r - 3 = -2*u + 9, 4*r = u + s. Factor -i**2 - i + u - 3*i - 6.
-(i + 2)**2
Let i(w) be the second derivative of -4*w**4 + 0 + 0*w**2 + 7/10*w**6 + 3/4*w**5 + 7*w + 2*w**3. Let i(q) = 0. What is q?
-2, 0, 2/7, 1
Let h(l) = l + 3. Let s be h(0). Suppose -18*j + 47 = 11. Solve -i**s + j*i**4 + i**3 = 0 for i.
0
Let l = 9 - 2. Let g(f) be the third derivative of 0 + f**2 - 1/90*f**5 + 0*f**4 + 0*f**3 + 1/315*f**l + 0*f + 0*f**6. Factor g(z).
2*z**2*(z - 1)*(z + 1)/3
Let q be ((-2)/(-5) - 28/20)*-3. Let y(r) be the first derivative of 1/20*r**5 + 0*r**2 + 1/8*r**4 + 0*r + 1/12*r**q - 2. Factor y(v).
v**2*(v + 1)**2/4
Let x(p) be the first derivative of 2/5*p**5 - 2/3*p**3 + 3 - p**2 + 1/2*p**4 + 0*p. Factor x(m).
2*m*(m - 1)*(m + 1)**2
Let i(g) be the second derivative of 0*g**2 + 1/3*g**3 + 0*g**6 - 1/5*g**5 + 1/21*g**7 + 0 + 0*g**4 + g. Let i(t) = 0. Calculate t.
-1, 0, 1
Let a be -4*6/(3 + -45). Suppose a + 2/7*o - 2/7*o**2 = 0. Calculate o.
-1, 2
Let f(v) = -6*v**4 + 5*v**3 - 14*v**2 + 7*v - 2. Let w(p) = p**4 + p**2. Let b(c) = f(c) + 5*w(c). Suppose b(y) = 0. Calculate y.
1, 2
Let b(t) = -8*t**3 - 6*t**2 - 3*t. Let y(k) = 39*k**3 + 30*k**2 + 15*k. Let d(a) = -24*b(a) - 5*y(a). Factor d(q).
-3*q*(q + 1)**2
Suppose 7*f - 2*f = -2*f. Let o(m) be the third derivative of f*m - 1/70*m**7 - 1/336*m**8 + 5*m**2 + 0*m**5 - 1/60*m**6 + 0*m**4 + 0 + 0*m**3. Solve o(l) = 0.
-2, -1, 0
Let b(m) be the third derivative of -m**6/30 + m**5/30 + m**4/6 - m**3/3 + m**2 - 15*m. Suppose b(c) = 0. What is c?
-1, 1/2, 1
Let m(l) be the first derivative of 7/5*l**2 - 4/5*l + 1/2*l**4 + 1 - 2/25*l**5 - 6/5*l**3. What is v in m(v) = 0?
1, 2
Factor 0 + 1/2*w**2 + 1/2*w.
w*(w + 1)/2
Let k = 1 - 4. Let x(u) = -9*u**3 + 2*u - u + 3*u**3 - 4*u. Let f(z) = -7*z**3 - z**2 - 4*z. Let q(r) = k*f(r) + 4*x(r). Factor q(w).
-3*w**2*(w - 1)
Find b such 