/7*x.
4*x*(x - 2)/7
Let i(k) = -k - 6. Let p = 4 - 12. Let g be i(p). Factor 6*m + 2 - m + m**2 - g*m.
(m + 1)*(m + 2)
Factor 1 - 7/2*f**3 - 6*f**2 - 3/2*f.
-(f + 1)**2*(7*f - 2)/2
Let r(f) be the second derivative of f**7/70 - f**6/40 - f**5/20 + f**4/8 + 2*f**2 - f. Let l(k) be the first derivative of r(k). Factor l(q).
3*q*(q - 1)**2*(q + 1)
Suppose -g - 3 = -2*g. Let n(d) be the second derivative of -1/70*d**5 + 0 - 1/7*d**g - 1/14*d**4 + d - 1/7*d**2. Factor n(o).
-2*(o + 1)**3/7
Let h(a) = 5*a**4 - 3*a**2 - 6*a + 4. Let p(z) = z**4 - z + 1. Let s be -3 + 0/(3 + 1). Let g(l) = s*h(l) + 12*p(l). Let g(x) = 0. What is x?
-1, 0, 2
Let x(a) = 14*a**3 - a**2 + 1. Let f be x(1). Determine k, given that 6*k - 14*k - 3 - 54*k**2 - 52*k**3 + 11 - f*k**4 = 0.
-2, -1, 2/7
Let b(o) be the second derivative of -o**7/1260 + o**5/60 + o**4/12 - 2*o. Let u(w) be the third derivative of b(w). Let u(h) = 0. Calculate h.
-1, 1
Let j be 2/(-9) + (-141)/(-27). Factor 0 + j*x**2 - 5*x**2 - 2 + 2*x**2.
2*(x - 1)*(x + 1)
Let s be 435/75 + 1/5. Suppose 3*i - 2*p = s, 0*p + 12 = -4*p. Suppose 3/2*o**4 + 0*o + 5/2*o**5 - o**3 + 0*o**2 + i = 0. What is o?
-1, 0, 2/5
Let c(h) be the second derivative of 49*h**5/4 + 875*h**4/12 + 220*h**3/3 + 30*h**2 + 11*h. Factor c(i).
5*(i + 3)*(7*i + 2)**2
Let k(q) = -5*q**4 + 5*q**3 + 24*q**2 - 25*q + 7. Let n(u) = u**4 + u**3 - u + 1. Let c(p) = -k(p) + 3*n(p). Factor c(s).
2*(s - 1)**2*(s + 2)*(4*s - 1)
Let m(h) be the first derivative of 0*h**2 + 1/8*h**4 + 0*h + 1/6*h**3 + 3. Let m(w) = 0. What is w?
-1, 0
Factor 5/6*z**3 + 0 + 0*z + 5/3*z**4 + 0*z**2 + 5/6*z**5.
5*z**3*(z + 1)**2/6
Factor 8*j**3 - 64 + 78*j - 68*j**2 - 46*j + 29*j + 99*j.
4*(j - 4)**2*(2*j - 1)
Let b(q) be the third derivative of -1/96*q**4 - 1/160*q**6 + 0*q - 1/80*q**5 + 0 - 1/840*q**7 + 0*q**3 - q**2. Factor b(h).
-h*(h + 1)**3/4
Let w be 4/12 - (-34)/6. Factor -k**2 + 7*k**3 + 2*k**2 - w*k**2 + k - 3*k**4.
-k*(k - 1)**2*(3*k - 1)
Let k(f) = f**2 + 10*f - 18. Let p(x) = -3*x**2 - 21*x + 37. Let v(o) = -5*k(o) - 2*p(o). Find y, given that v(y) = 0.
4
Suppose 2*i - 3 - 5 = z, 3*i + 1 = -5*z. Let y be (2 + -1 + z)*-4. Determine f, given that 0 - 8/3*f**2 + 7*f**3 - 7/3*f**5 - 2/3*f**y - 4/3*f = 0.
-2, -2/7, 0, 1
Let w(s) be the third derivative of -s**8/84 + 2*s**7/35 - s**6/10 + s**5/15 - 3*s**2. Factor w(q).
-4*q**2*(q - 1)**3
Let -1/2 - 1/2*u**4 + 1/2*u**5 + 1/2*u + u**2 - u**3 = 0. What is u?
-1, 1
Let t(j) be the first derivative of j**3/9 + j**2/6 - 2. Factor t(u).
u*(u + 1)/3
Let y(p) be the first derivative of -29/5*p**5 + 5/3*p**6 + 15/2*p**4 + 3 - 13/3*p**3 + 0*p + p**2. Determine v, given that y(v) = 0.
0, 2/5, 1/2, 1
Let u(o) be the third derivative of 0*o - 4/3*o**3 + 0 - 1/30*o**5 - 1/3*o**4 - 2*o**2. Factor u(v).
-2*(v + 2)**2
Let n(i) be the second derivative of -i**6/40 + i**5/20 + i**4/8 - i**3/2 + i**2/2 + 3*i. Let m(h) be the first derivative of n(h). What is q in m(q) = 0?
-1, 1
Factor 16/3*m**2 + 4/3 + 2/3*m**5 - 4/3*m**3 - 14/3*m - 4/3*m**4.
2*(m - 1)**4*(m + 2)/3
Let v(b) be the third derivative of b**5/240 + b**4/16 - 38*b**2. Let v(m) = 0. What is m?
-6, 0
Let s be ((-7)/21)/(1/(-6)). Find j such that -2/5*j**s + 0 + 2/5*j = 0.
0, 1
Let u = 70 + -50. Let j = 61/3 - u. Factor 0*n + 0 - j*n**2.
-n**2/3
Let x(d) = -d**2 - 19*d - 51. Let b(t) = -4*t - 10. Let i(o) = 22*b(o) - 4*x(o). Factor i(q).
4*(q - 4)*(q + 1)
Let d(p) = p - 7. Let n be d(9). Let a(j) be the third derivative of 1/240*j**5 + 1/480*j**6 + 0 + 0*j**3 + 0*j - 1/96*j**4 - 1/840*j**7 + 3*j**n. Factor a(i).
-i*(i - 1)**2*(i + 1)/4
Suppose -b + 3*b + 7*b = 0. Solve -2/5*l**3 + 0*l**2 + 0*l**4 + b + 1/5*l + 1/5*l**5 = 0.
-1, 0, 1
Let x(s) be the first derivative of 3*s**5/10 + 3*s**4/8 - 7. Factor x(y).
3*y**3*(y + 1)/2
Let c be 15/(-12)*1/(-5). Let p = -6 + 9. Factor c - m**p - 1/2*m - 7/4*m**2.
-(m + 1)**2*(4*m - 1)/4
Let o = 0 - -3. Suppose -2 = 2*s + 3*z, 9*s = 4*s - o*z + 4. Factor 6*l**s - 4*l**2 + 5*l + 2 + 2*l**3 + 4*l**2 + l.
2*(l + 1)**3
Let v = -3/4 + 5/4. Factor v*z**3 + 0 + 0*z**2 - 1/2*z.
z*(z - 1)*(z + 1)/2
Let g = 1/180 + 1/45. Let n(h) be the second derivative of g*h**4 + 1/6*h**2 - 2*h + 0 - 1/9*h**3. Let n(o) = 0. What is o?
1
Let l(g) be the second derivative of -g + 2/25*g**6 - 27/100*g**5 + 0 + 3/10*g**4 + 0*g**2 - 1/10*g**3. Factor l(p).
3*p*(p - 1)**2*(4*p - 1)/5
Suppose 0 = -3*y - 5*y + 16. Factor -4/3 + 14/3*j - 10/3*j**y.
-2*(j - 1)*(5*j - 2)/3
Let r = 320 + -2236/7. Let u(g) be the first derivative of r*g + 2 - 2/21*g**3 + 1/7*g**2. Factor u(t).
-2*(t - 2)*(t + 1)/7
Let y(a) be the third derivative of a**7/1050 - a**6/300 + a**4/60 - a**3/30 + 4*a**2. Factor y(g).
(g - 1)**3*(g + 1)/5
Let z be (2/2 - (-48)/(-32))/(-2). Determine n so that 0 + 1/2*n - z*n**2 = 0.
0, 2
Let a = -20 - -24. Suppose a*z = -4*o + 32, 5*o - o = 20. Let 1 - 2*d**2 - 3/2*d**z + 5/2*d = 0. Calculate d.
-2, -1/3, 1
Let o(n) be the second derivative of -4*n - 4/3*n**3 + 2*n**2 + 0 + 1/3*n**4. Solve o(h) = 0 for h.
1
Let x(y) = y**3 + 10*y**2 + 9*y - 4. Let s be x(-9). Let k = 6 + s. Factor p + 2 - k + p**2.
p*(p + 1)
Suppose 0 + 0*o - 2/3*o**2 - 2/3*o**3 = 0. Calculate o.
-1, 0
Let y(g) be the third derivative of g**8/10080 + g**7/3780 - g**6/540 - g**4/24 - 3*g**2. Let q(x) be the second derivative of y(x). Factor q(s).
2*s*(s - 1)*(s + 2)/3
Let p(h) be the first derivative of 1 + 3/16*h**4 + 1/4*h**3 + 0*h**2 + 0*h. Factor p(y).
3*y**2*(y + 1)/4
Let v = 19 + -6. Suppose 1 = -2*j + v. Factor -4 - 2*a - 2*a**4 + a**3 + j*a**2 + a**3 + 0*a**3 + 0*a.
-2*(a - 2)*(a - 1)*(a + 1)**2
Suppose y = 3*y - 4. Factor -1/3*r**y - 2/3 + r.
-(r - 2)*(r - 1)/3
Let n = -2/7 + 17/35. Factor -2/5*u**2 + 1/5 + n*u.
-(u - 1)*(2*u + 1)/5
Suppose 6*z - 5 = -4*g + 9*z, 15 = 4*g - z. Let s(x) be the second derivative of 9/20*x**g + 3*x**2 + 1/2*x**4 - 7/2*x**3 - x + 0. Factor s(o).
3*(o - 1)*(o + 2)*(3*o - 1)
Let x(p) = -5*p**4 + 4*p**3 + 3*p - 2. Suppose 5*d - 32 = 3. Let y(c) = -2*c**4 + 2*c**3 + c - 1. Let q(w) = d*y(w) - 3*x(w). What is f in q(f) = 0?
-1, 1
Let k(u) be the third derivative of u**6/180 + u**5/90 - 3*u**2. Suppose k(x) = 0. Calculate x.
-1, 0
Let m(t) be the first derivative of t**7/280 - t**6/60 + t**5/40 - t**3 - 1. Let s(u) be the third derivative of m(u). Solve s(z) = 0 for z.
0, 1
Let u(x) be the third derivative of x**8/1176 + x**7/245 + x**6/210 - x**5/105 - x**4/28 - x**3/21 - 50*x**2. Factor u(b).
2*(b - 1)*(b + 1)**4/7
Determine g so that 0*g**3 + 13*g**2 + 8*g - 3 - 6*g**3 - 5 - 3*g**2 = 0.
-1, 2/3, 2
Let f(d) be the first derivative of d**7/175 - d**6/150 - d**5/150 - d**2 - 5. Let a(b) be the second derivative of f(b). Factor a(m).
2*m**2*(m - 1)*(3*m + 1)/5
Let j(o) = -5*o**2 + 3*o + 28. Let i(c) = -c - 1. Let y(f) = 2*i(f) - j(f). Factor y(w).
5*(w - 3)*(w + 2)
Let p = 2/41 + 17/492. Let s(z) be the first derivative of -p*z**3 + 1 + 0*z - 1/8*z**2. Factor s(q).
-q*(q + 1)/4
Let i(a) be the third derivative of -a**9/211680 + a**8/35280 - a**7/17640 - a**5/10 - a**2. Let r(k) be the third derivative of i(k). Factor r(g).
-2*g*(g - 1)**2/7
Let k(o) be the third derivative of -o**5/60 - o**4/6 - o**3/3 - 2*o**2. Let q be k(-2). Factor h**2 + h**4 + h**5 - h**3 + 0*h**3 - q*h**4.
h**2*(h - 1)**2*(h + 1)
Let g(v) be the first derivative of -5*v**5 - 5*v**4 + 5*v**3/3 + 14. Factor g(y).
-5*y**2*(y + 1)*(5*y - 1)
Let u = 454/645 - 8/215. Factor 0 + 5/3*p**2 + 4/3*p**3 + u*p + 1/3*p**4.
p*(p + 1)**2*(p + 2)/3
Let h(b) be the first derivative of 2*b**5/35 - b**4/14 - 2*b**3/21 + b**2/7 + 6. Find l, given that h(l) = 0.
-1, 0, 1
Let c = 2785/11 - 253. Factor -2/11*g**2 + 4/11*g - c.
-2*(g - 1)**2/11
Let j(n) = n**2 - 12*n. Let o(y) = 3*y**2 - 25*y + 1. Let h(q) = 0*q - q**2 - 3*q + 2*q**2. Let w be h(4). Let z(x) = w*o(x) - 9*j(x). Solve z(l) = 0 for l.
-2, -2/3
Let i(z) be the first derivative of 4 - 3/5*z**2 - 4/5*z - 2/15*z**3. Factor i(a).
-2*(a + 1)*(a + 2)/5
Let f(o) = -9*o**4 - 8*o**3 - 13*o**2 - 6*o. Let m(y) = 17*y**4 + 17*y**3 + 25*y**2 + 11*y. Let q(d) = -7*f(d) - 4*m(d). Factor q(z).
-z*(z + 1)**2*(5*z + 2)
Let b(m) be the second derivative of m**8/4704 - m**7/735 + m**6/280 - m**5/210 + m**4/4 - m. Let y(k) be the third derivative of b(k). Factor y(w).
2*(w - 1