*3/12 + 25*s**2/2 + 125*s + 18. Let v(o) = 0. Calculate o.
-10
Let y(l) = -4*l**2 + l + 8. Let s(x) = x**2 - x - 1. Let f(o) = -5*s(o) - y(o). Factor f(j).
-(j - 3)*(j - 1)
Let v(f) be the third derivative of f**7/4200 - f**6/1200 - f**4/24 - 3*f**2. Let y(l) be the second derivative of v(l). Determine a, given that y(a) = 0.
0, 1
Let w(v) = -v**3 + 2*v**2 - 2*v + 2. Let o be w(2). Let j = 1 - o. Factor 0*a - a**2 - 3*a**j + 0*a + 6*a**3.
a**2*(3*a - 1)
Let d(w) be the first derivative of 12*w**3 - 40*w**2 + 16*w - 15. Factor d(g).
4*(g - 2)*(9*g - 2)
Let o(p) be the first derivative of -3*p**3/7 + 12*p**2/7 + 9*p/7 - 8. Factor o(j).
-3*(j - 3)*(3*j + 1)/7
Let j(n) be the second derivative of -3*n**4/7 - 2*n**3/7 - n**2/14 - 11*n. Factor j(w).
-(6*w + 1)**2/7
Let h be 2 + 1/((-3)/6). Let p(k) be the second derivative of -2/3*k**3 - 1/2*k**2 + 2*k + h - 1/3*k**4. Let p(j) = 0. What is j?
-1/2
Let i(l) be the third derivative of l**8/480 + l**7/840 - l**3/6 + l**2. Let h(m) be the first derivative of i(m). Factor h(b).
b**3*(7*b + 2)/2
Let -2/7*g**5 - 2/7*g + 4/7*g**3 + 2/7*g**4 + 2/7 - 4/7*g**2 = 0. Calculate g.
-1, 1
Let r(j) be the second derivative of 0 - 1/4*j**4 + 0*j**3 + 4*j + 0*j**2. Solve r(u) = 0.
0
Let z(f) be the first derivative of -f**4/12 + f**3/6 + f**2 + 3*f + 2. Let d(v) be the first derivative of z(v). Factor d(j).
-(j - 2)*(j + 1)
Let v(c) be the first derivative of -2*c**5/35 - 3*c**4/14 - 4*c**3/21 + 8. Factor v(p).
-2*p**2*(p + 1)*(p + 2)/7
Let n = 15 + -8. Let g(o) = o**3 - 6*o**2 - 6*o - 3. Let c be g(n). Suppose -50/9*l**c - 40/9*l**3 - 8/9*l**2 + 0*l + 0 = 0. What is l?
-2/5, 0
Let i(p) be the third derivative of 0 + 7*p**2 + 1/5*p**5 + 0*p**3 + 0*p - 1/6*p**6 + 1/3*p**4. Factor i(q).
-4*q*(q - 1)*(5*q + 2)
Let s be (-4 - -5)/(-2 + 35/15). Determine l so that 3/5*l + 3/5 - 3/5*l**s - 3/5*l**2 = 0.
-1, 1
Suppose 0*k = -k + 4. Suppose 4 = 4*i, 10 = 3*q + k*i - 0. Factor 4*y**2 + 3*y + 2*y**q - 4*y**2 - 4*y - y**3.
-y*(y - 1)**2
Let f = -266 - -413. Let t be 12/f*21/6. Factor -2/7 + t*n**2 + 0*n.
2*(n - 1)*(n + 1)/7
Let x(a) be the second derivative of -a**4/24 - a**3/6 + 3*a**2/4 + 7*a. Let x(u) = 0. What is u?
-3, 1
Let p(c) = c**3 - c**2. Let k(i) be the third derivative of i**6/40 + i**5/60 - i**4/3 + 2*i**3/3 - i**2. Let r(n) = k(n) - 4*p(n). Factor r(z).
-(z - 2)**2*(z - 1)
Let k(b) = -3*b - 11*b + 5*b + 4 + 2*b**3 - 4*b + 7*b**2. Let j(w) = -w**3 - 3*w**2 + 6*w - 2. Let o(n) = 7*j(n) + 3*k(n). Find f such that o(f) = 0.
-2, 1
Suppose -c + 2*x = -0*c + 4, -2*c + 5*x - 11 = 0. Suppose -2/3*a**5 + 0 + 2/3*a**3 + 0*a + 4/3*a**c - 4/3*a**4 = 0. What is a?
-2, -1, 0, 1
Let o(a) be the second derivative of -a**5/150 - a**4/60 - a**2 + 3*a. Let d(j) be the first derivative of o(j). Factor d(u).
-2*u*(u + 1)/5
Let c = 3 + -5/2. Determine g, given that -g + 0 + c*g**4 + g**3 - 1/2*g**2 = 0.
-2, -1, 0, 1
Let z(k) = 3*k**4 + 8*k**3 - 15*k**2 - k. Let v(d) = d + d + d**2 - d - d**4. Let y(u) = 5*v(u) + z(u). Factor y(g).
-2*g*(g - 2)*(g - 1)**2
Suppose -3*f - f = 0. Let n(m) be the first derivative of 7/10*m**5 + 0*m + 1/4*m**4 - 1 + 0*m**2 + 5/12*m**6 + f*m**3. Suppose n(p) = 0. Calculate p.
-1, -2/5, 0
Factor 40*o + 5*o**5 + 2*o**3 + 8*o**4 + 88*o**3 - 43*o**4 - 100*o**2.
5*o*(o - 2)**3*(o - 1)
Let q(f) be the second derivative of -7*f**5/90 + 2*f**4/9 + 4*f**3/27 + 8*f. Let q(w) = 0. Calculate w.
-2/7, 0, 2
Let m(r) be the third derivative of -r**5/120 + r**4/16 - 3*r**2. Factor m(n).
-n*(n - 3)/2
Let a = -78 + 80. Factor 0*x**2 + 0 + 10/3*x**4 + 4/3*x**3 + 0*x - a*x**5.
-2*x**3*(x - 2)*(3*x + 1)/3
Let v(b) be the first derivative of -3 + 0*b**2 + 2/15*b**5 + 0*b + 2/9*b**3 + 1/3*b**4. Factor v(y).
2*y**2*(y + 1)**2/3
Let j(d) be the first derivative of -d**3 + 15*d**2/2 - 12*d - 10. Suppose j(y) = 0. Calculate y.
1, 4
Let c(k) = -k**3 + 2*k**2 + 2*k - 2. Let i be c(3). Let h = 7 + i. Solve -2*t - t**3 + t**4 - 3 + 3*t**3 + 4 - h = 0 for t.
-1, 1
Suppose 47 = 5*n - 0*q + 3*q, 4*n - 5*q = 45. Factor 7 + 0*t - n - t - t**2 + 5*t.
-(t - 3)*(t - 1)
Determine p, given that 3*p**3 + 9*p**2 - 10*p**2 - 5*p + 7*p**2 + 8*p = 0.
-1, 0
Let w(u) be the second derivative of 5*u**7/18 - 23*u**6/18 + 9*u**5/4 - 65*u**4/36 + 5*u**3/9 + 10*u. Determine t, given that w(t) = 0.
0, 2/7, 1
Let i(t) be the first derivative of -3/11*t**2 - 2/11*t + 2/33*t**3 - 2 + 3/22*t**4. Factor i(o).
2*(o - 1)*(o + 1)*(3*o + 1)/11
Let c(x) be the third derivative of x**5/180 - x**4/36 + x**3/18 - 4*x**2. Factor c(y).
(y - 1)**2/3
Determine h so that -2/3*h - 4/3*h**2 + 0 - 2/3*h**3 = 0.
-1, 0
Let m(j) be the second derivative of 14/9*j**4 - 13/9*j**3 - 2*j**2 + 8*j + 0. Let m(u) = 0. Calculate u.
-2/7, 3/4
Let w(q) be the third derivative of -q**5/90 + q**4/36 - 8*q**2. Suppose w(c) = 0. What is c?
0, 1
Let r(m) = m**3 + m**2 + 4. Let l(s) = 1. Let x(d) = 12*l(d) - 3*r(d). Let x(o) = 0. What is o?
-1, 0
Let p be 0/((-81)/9 + 3). Let 0 + p*y**2 + 1/7*y**4 - 1/7*y**3 + 0*y = 0. Calculate y.
0, 1
Let m be (6/10)/((-6)/(-180)). Let u = 55/3 - m. Let 0 + 0*n - 2/3*n**2 - u*n**3 = 0. What is n?
-2, 0
Let q(n) be the second derivative of -7*n**5/20 - n**4/3 + 47*n + 2. Find x, given that q(x) = 0.
-4/7, 0
Let f(d) be the second derivative of -d**5/120 - 7*d**4/72 - 5*d**3/12 - 3*d**2/4 + 27*d. Determine y so that f(y) = 0.
-3, -1
Let i = 4 + 6. Let s be 4/(-10) - (-24)/i. Factor -2/5*j**s + 0*j + 2/5.
-2*(j - 1)*(j + 1)/5
Factor -4/11*t + 10/11*t**2 + 0 + 2/11*t**4 - 8/11*t**3.
2*t*(t - 2)*(t - 1)**2/11
Suppose 3*x**2 + 0*x**2 + 2*x + 6*x - x**2 = 0. What is x?
-4, 0
Suppose 2*a + a + 10 = -4*m, 0 = 3*a + 3*m + 6. Let 3*p**3 - 4*p**4 + p**2 + p**a + 8*p**4 + 3*p**3 = 0. Calculate p.
-1, -1/2, 0
Let l(a) = -2*a**2 - 5*a + 3. Let r(f) = -7*f**2 - 19*f + 11. Suppose 0*u = -5*u - 110. Let k(d) = u*l(d) + 6*r(d). Find o such that k(o) = 0.
0, 2
Let p(r) = -r**5 + r**3 + r**2 + r + 1. Let n be 2/((-4)/(-8)*4). Let z(v) = -2*v**5 + 3*v**4 - v**3 - v**2 + 4*v. Let w(g) = n*z(g) - p(g). Factor w(d).
-(d - 1)**4*(d + 1)
Let x(k) be the third derivative of -k**7/945 + k**6/180 - k**4/27 + 16*k**2. Determine n, given that x(n) = 0.
-1, 0, 2
Let x(a) be the first derivative of a**7/2100 - a**5/300 + 2*a**3 - 9. Let b(u) be the third derivative of x(u). Solve b(z) = 0 for z.
-1, 0, 1
Let s(b) = -8*b**4 - 17*b**3 + 33*b**2 + 20*b - 28. Let z(y) = -y**4 + y**3 + y**2 - 1. Let j(c) = -s(c) + 3*z(c). Factor j(g).
5*(g - 1)**2*(g + 1)*(g + 5)
Let t = -25 + 28. Suppose -2*s = -0*s - 64. Factor 40*o**t - s*o + 12*o**2 + 8 + 25/2*o**4.
(o + 2)**2*(5*o - 2)**2/2
Factor 2/9*p**2 + 0 + 0*p.
2*p**2/9
Suppose 0 = -t - 203 + 205. Determine h so that 14/15*h**t - 2/3*h - 2/5*h**3 + 2/15 = 0.
1/3, 1
Let q be (70/4)/5*2. Suppose -q = -5*u + 8. Factor -3*s**2 - 2*s**3 + 6*s**3 - 3*s**u + 2*s.
s*(s - 2)*(s - 1)
Let u = 16 + -16. Find w such that -w**4 + u*w**4 - 5*w**5 + 6*w**5 = 0.
0, 1
Suppose -6 = u - 3*u. Suppose 4*f - 4 = -4*m, 3*f + u*m = 2*m + 1. Factor f*v - 2/3*v**2 + 2/3.
-2*(v - 1)*(v + 1)/3
Let p(k) be the second derivative of 1/10*k**6 + 0*k**2 - 1/4*k**4 - 3*k + 3/20*k**5 + 0*k**3 - 1/14*k**7 + 0. Determine i, given that p(i) = 0.
-1, 0, 1
Suppose -36 = 2*n - 40. Solve -2/3*p - 2/3*p**n + 0 = 0 for p.
-1, 0
Let z(r) be the third derivative of -3*r**2 - 1/3*r**3 + 0*r**4 - 1/105*r**7 + 0*r**6 + 0 + 0*r + 1/15*r**5. Factor z(h).
-2*(h - 1)**2*(h + 1)**2
Let w(m) be the third derivative of m**6/90 + 13*m**5/60 + 5*m**4/4 - 25*m**3/18 - 7*m**2. Factor w(y).
(y + 5)**2*(4*y - 1)/3
Let w be (-1)/4*80/(-10). Factor 0 + f**w + 1/2*f**3 + 1/2*f.
f*(f + 1)**2/2
Let m(l) = l**4 - 2*l**3 + l**2 + 4. Let n(z) = 2*z**4 - 5*z**3 + 2*z**2 + 9. Let u(b) = 9*m(b) - 4*n(b). Factor u(a).
a**2*(a + 1)**2
Let k(a) be the third derivative of 0*a + 0*a**3 - 1/140*a**6 - 2/735*a**7 - a**2 + 1/21*a**4 + 1/1176*a**8 + 2/105*a**5 + 0. Factor k(b).
2*b*(b - 2)**2*(b + 1)**2/7
Let r(z) be the third derivative of 1/36*z**5 + 1/252*z**7 + 1/72*z**6 + 0 + 0*z + 5/144*z**4 + 1/2016*z**8 - 4*z**2 + 1/36*z**3. What is w in r(w) = 0?
-1
Let c = 5/12 + 9/4. Suppose 8*u = 3*u + 10. Factor c - 2*m**u - 2/3*m**3 + 0*m.
-2*(m - 1)*(m + 2)**2/3
Let j be (-2)/6 + -1 + 4. Let o be 18/(-12)*(-4)/18. Factor -o*d**3 - 5/3*d**2