+ 2*s**2 + 6*s. Let p(m) = -13*h(m) + 6*y(m). Determine o so that p(o) = 0.
0, 2
Suppose 0*u + u - 4*c - 22 = 0, 3*u = -3*c - 9. Solve -i**u + 0*i**4 + 6*i**3 - 3*i**4 - 2*i**2 = 0 for i.
0, 1
Let o be 2*(-12)/16*(-2 - 0). Factor -2/11*b + 0*b**2 + 0 + 2/11*b**o.
2*b*(b - 1)*(b + 1)/11
Let n be (-64)/(-120)*10 - 5. Factor 1/3*i**2 + n*i**4 - i**3 - 2/3 + i.
(i - 2)*(i - 1)**2*(i + 1)/3
Let o(p) = p**3. Let n(s) = -5*s**4. Let t(q) = -n(q) - 5*o(q). Let t(c) = 0. Calculate c.
0, 1
Let s(m) be the first derivative of 2*m**2 - 2*m**4 + 2 + 4/3*m**3 - 2*m - 2/5*m**5 + 2/3*m**6. Determine h, given that s(h) = 0.
-1, 1/2, 1
Let n(y) be the third derivative of y**5/12 + 25*y**4/12 + 125*y**3/6 - 2*y**2 + 10*y. Let n(u) = 0. Calculate u.
-5
Let p be 1 + (-22)/18 + (-522)/(-162). Solve 0 + 4/5*y + 18/5*y**2 + 14/5*y**p = 0 for y.
-1, -2/7, 0
Let g = -4962/5 + 993. Factor -g*f**2 - 3/5*f + 0.
-3*f*(f + 1)/5
Let g = -2/11 - -28/33. Let z be 4/6 - 40/(-12). What is a in 8*a**2 + g + 2*a**z - 4*a - 20/3*a**3 = 0?
1/3, 1
Suppose 6*c = -3*y + 5*c + 9, 0 = -y - 4*c + 3. Factor 6/5*o**y - 3/5 - 6/5*o + 3/5*o**4 + 0*o**2.
3*(o - 1)*(o + 1)**3/5
Factor 1/2*i**2 + 0*i + 0 + 1/4*i**4 + 3/4*i**3.
i**2*(i + 1)*(i + 2)/4
Let n(d) be the third derivative of d**7/70 - d**6/20 - d**5/5 + d**4/4 + 3*d**3/2 + 2*d**2. Suppose n(j) = 0. What is j?
-1, 1, 3
Let d(a) = a**5 - a**3 + a**2 - 1. Let f(s) = -5*s**5 + 2*s**4 + 5*s**3 - 5*s**2 + 3. Let q(p) = 3*d(p) + f(p). Factor q(c).
-2*c**2*(c - 1)**2*(c + 1)
Let s = -23 - -26. Let t(b) be the first derivative of 0*b + 0*b**s - 1/8*b**2 - 1 + 1/16*b**4. Determine v, given that t(v) = 0.
-1, 0, 1
Let d be 20/(-15)*(-3)/2. Find i, given that 15*i**2 - 32*i**3 + 20*i**4 - 4*i**d + 10*i**2 - 4*i**5 - 5*i**2 = 0.
0, 1, 2
Factor -9/7*l**2 - 1/7*l**4 + 0 + 0*l + 6/7*l**3.
-l**2*(l - 3)**2/7
Suppose -c = 5*h - 2*c + 23, 4*h + 4*c + 28 = 0. Let r(t) = -t**2 - 4. Let p(f) be the first derivative of 2*f - 1. Let l(g) = h*p(g) - 2*r(g). Factor l(x).
2*(x - 1)*(x + 1)
Solve 2/3*z**2 + 0 + 0*z + 2/9*z**3 = 0.
-3, 0
Let x(c) be the second derivative of 1/30*c**5 + 0*c**3 - 1/9*c**4 + 4*c + 0 + 0*c**2 + 1/45*c**6. Let x(r) = 0. What is r?
-2, 0, 1
Determine y so that 6/5*y**2 - 8/5 + 0*y + 2/5*y**3 = 0.
-2, 1
Let y(r) be the third derivative of -2*r**7/105 + r**6/5 - 4*r**5/15 - r**4 + 10*r**3/3 + 20*r**2 + r. Factor y(m).
-4*(m - 5)*(m - 1)**2*(m + 1)
Let f(a) = a + 1. Let o be f(5). Factor 4*h - o + 6 + 2*h**2 - 6.
2*(h - 1)*(h + 3)
Let r(c) be the second derivative of c**4/12 + c**3/18 + 7*c. Factor r(d).
d*(3*d + 1)/3
Let c be 80/14 + 4/14. Let h be 3/c + (-10)/(-4). What is m in 0*m**2 - m - 1/2 + 1/2*m**4 + m**h = 0?
-1, 1
Suppose -2*w + 2*p - 7*p + 4 = 0, 5*w + 5*p - 10 = 0. Suppose 8/5 + 16/5*x - 38/5*x**3 - 10*x**5 + 22*x**4 - 46/5*x**w = 0. What is x?
-2/5, 1
Determine r, given that 10*r**2 + 26/3*r**3 + 8/3*r**4 + 14/3*r + 2/3 = 0.
-1, -1/4
Let s(c) be the first derivative of -c**3/4 + 3*c + 65. Factor s(v).
-3*(v - 2)*(v + 2)/4
Suppose 4*s + 9 = -3. Let j be 4/3*s/(-2). Factor -j*y - 4*y**3 - 3*y + 6*y - 3*y**2.
-y*(y + 1)*(4*y - 1)
Factor 0 - 2/17*o**2 + 6/17*o.
-2*o*(o - 3)/17
Let i be 5 + -3 + (-2)/12*11. Solve -1/3*n**2 + 0 - 1/6*n - i*n**3 = 0.
-1, 0
Let n = -8 + 16. Suppose 2*l + 2*i + n = -0, 3*l + 2*i = -8. Determine j so that -2/5*j**2 + 2/5*j**4 + 0*j + 0*j**3 + l = 0.
-1, 0, 1
Let d(p) = -p**3 + p**2 - p - 1. Let g(q) = 43*q**3 - 19*q**2 + 8*q + 7. Let r(b) = -35*d(b) - 5*g(b). Let r(k) = 0. What is k?
0, 1/6
Suppose 11*u - 25 = -3. Let z(y) be the second derivative of -1/12*y**4 - 3*y + 0*y**u + 0 - 1/20*y**5 + 0*y**3. Solve z(i) = 0 for i.
-1, 0
Let a(t) = 11*t**3 - 3*t**2 - 11*t - 1. Let y(b) = 12*b**3 - 3*b**2 - 12*b. Let k(h) = -3*a(h) + 4*y(h). Factor k(d).
3*(d - 1)*(d + 1)*(5*d - 1)
Suppose 0 = -2*w + 24 + 4. Let n = w - 10. Factor 3*g**4 - 6*g**2 + 0*g**n - 5*g**4 - 6*g**3 - 2*g.
-2*g*(g + 1)**3
Let v = -331 + 2337/7. Factor 0 + 4*q**3 + 8/7*q**2 + v*q**4 + 0*q.
4*q**2*(q + 1)*(5*q + 2)/7
Let v(p) be the second derivative of -4/3*p**3 + 8*p + 5/12*p**4 - 1/20*p**5 + 0 + 2*p**2. Factor v(o).
-(o - 2)**2*(o - 1)
Factor -8/11*x**2 + 2/11*x**3 + 8/11*x + 0.
2*x*(x - 2)**2/11
Let n be (16/4)/2 - (-47)/(-24). Let v(m) be the first derivative of -1/16*m**4 - 1/20*m**5 + n*m**6 + 1/12*m**3 + 0*m - 2 + 0*m**2. Factor v(b).
b**2*(b - 1)**2*(b + 1)/4
Let n(l) = -l**3 + 4*l - 3. Let c = -6 + 10. Let o(i) = i**3 - 3*i + 2. Let y(b) = c*n(b) + 6*o(b). Factor y(k).
2*k*(k - 1)*(k + 1)
Let a be -1 - (-28)/8*2. Suppose a*c - 14 = -2. Determine g, given that -1 - 3/2*g - 1/2*g**c = 0.
-2, -1
Let a(g) be the first derivative of -2*g**6/3 + 8*g**5/5 + 4*g**4 - 8*g**3/3 - 6*g**2 + 7. Solve a(u) = 0 for u.
-1, 0, 1, 3
Let t(i) be the first derivative of -7 - 7*i**2 + 3*i**3 + 3*i**2 + 4*i - 2*i**2. Let t(d) = 0. Calculate d.
2/3
Suppose 0*k + k + 4 = 0. Let c = 6 + k. Factor -2/5*g + 2/5*g**4 + 0 - 2/5*g**c + 2/5*g**3.
2*g*(g - 1)*(g + 1)**2/5
Let o(j) be the first derivative of -j**4/12 + 4*j**3/9 + 2. Let o(i) = 0. Calculate i.
0, 4
Factor d**4 + 1/2*d**3 + 0*d**2 + 0*d + 0 + 1/2*d**5.
d**3*(d + 1)**2/2
Let z(f) be the third derivative of f**8/336 + f**7/35 + 7*f**6/60 + 4*f**5/15 + 3*f**4/8 + f**3/3 - 12*f**2. Factor z(v).
(v + 1)**4*(v + 2)
Let g = 10 - 16. Let j be (-1)/(-3) + (g - -6). Solve 1/3 - j*x**2 + 0*x = 0.
-1, 1
Let x = -10 + 16. Suppose x = o + 2*o. Let a**o + 4 - 4 = 0. Calculate a.
0
Let w(m) = -15*m**4 - 3*m**3 + 11*m**2 - 8*m - 7. Let t(y) = 4*y**4 + y**3 - 3*y**2 + 2*y + 2. Let q = 32 - 54. Let v(z) = q*t(z) - 6*w(z). Factor v(a).
2*(a - 1)**3*(a + 1)
Suppose 11 = 3*j - 7. Determine q so that -12*q - 52*q**3 + 5 - 1 - 68*q**2 + 16*q**5 + 12*q**4 - j + 10 = 0.
-1, 1/4, 2
Let p = 13/3 - 4. Let a be (-1 - -3) + (-20)/12. Factor -2/3*l**2 - 1/3*l + 2/3*l**3 + p*l**4 + a - 1/3*l**5.
-(l - 1)**3*(l + 1)**2/3
Suppose -1/3*p**2 - 3 - 2*p = 0. Calculate p.
-3
Let g(n) be the first derivative of -2*n**3/3 + 7*n**2 - 12*n + 30. Find o such that g(o) = 0.
1, 6
Let n be 2 - 3 - (-4 + 1). Factor 2*x**3 - 47*x**3 - 3*x + 39*x**4 - 4*x**5 + 0*x**5 - 8*x**5 + 21*x**n.
-3*x*(x - 1)**3*(4*x - 1)
Let f(k) be the second derivative of 2*k**6/15 - k**4/3 - 7*k. Find l, given that f(l) = 0.
-1, 0, 1
Factor 8/9*k**3 + 2/9*k**4 + 2/9 + 4/3*k**2 + 8/9*k.
2*(k + 1)**4/9
Let u(g) be the first derivative of g**7/1155 + g**6/330 - g**5/110 - g**4/33 + 4*g**3/33 - g**2/2 + 3. Let b(p) be the second derivative of u(p). Factor b(w).
2*(w - 1)**2*(w + 2)**2/11
Let s(n) = n**2 - 3*n + 2. Suppose -p = 3, 2*w + 7 = p - 4*p. Let h be s(w). Factor -2/5*i**2 + 0*i - 3/5*i**3 - 1/5*i**4 + h.
-i**2*(i + 1)*(i + 2)/5
Let u(k) be the first derivative of 3*k**4/28 - 6*k**3/7 - 45*k**2/14 - 24*k/7 + 5. Factor u(q).
3*(q - 8)*(q + 1)**2/7
Determine a, given that -63/2*a + 6*a**2 + 15/2 = 0.
1/4, 5
Let d(b) = -5*b + 10. Let l(y) = -y**2 - 4*y + 9. Let z(v) = -4*d(v) + 5*l(v). Find n such that z(n) = 0.
-1, 1
Let u be 2/14*(18/24 - -1). Factor 1/4*m**2 + 0*m + 0 + u*m**4 - 1/2*m**3.
m**2*(m - 1)**2/4
Let r be (-16)/(-5 + 3) + 1. Suppose 2*n = -n + r. Factor 3*t**2 - t**4 - 2*t**2 - 2*t + 0*t**2 - 5*t**n + 7*t**3.
-t*(t - 2)*(t - 1)*(t + 1)
Suppose -11 = -5*b + 2*f - f, -f = b - 1. Factor -4*n**2 + 2*n**2 + 0*n**2 - b*n + 4*n**2.
2*n*(n - 1)
Let m(n) be the third derivative of n**6/60 - n**5/15 - n**4/12 + 2*n**3/3 + 3*n**2. Find o, given that m(o) = 0.
-1, 1, 2
Let r(w) be the first derivative of 2*w**7/35 - w**6/40 - w**5/5 + w**4/8 - 9*w**2/2 - 7. Let y(b) be the second derivative of r(b). Factor y(c).
3*c*(c - 1)*(c + 1)*(4*c - 1)
Factor -14/3*q**2 - 2*q**3 + 2 + 14/3*q.
-2*(q - 1)*(q + 3)*(3*q + 1)/3
Let y be 2/(-1) + (-119)/(-51). Let q(a) be the first derivative of 0*a**2 + 0*a + 3 + y*a**3. Factor q(f).
f**2
Let n = 641/2268 - -1/324. What is c in 0 + n*c**2 + 2/7*c - 4/7*c**3 = 0?
-1/2, 0, 1
Suppose -12 = -5*d + r, 0 = 2*d + 4*r - r + 2. Factor -q + 129 - q**d - 129.
-q*(q + 1)
Suppose -22*h + 25 = -17*h. Find c such that -2*c**h + 2/3*c**4 + 0 + 16/9*c**3 - 8/9*c**2 + 0*c = 0.
-1, 0, 2/3
Let i(h) = -h**3 + 2*h**2 - h. Let k be i(-2). Let w = k + -15. Factor w*g - 1 + 3/2*g**3 - 13/4*g**2 - 1/4*g**4.
-(g - 2)**2*(g - 1)**2/4
Let b be (-4)/(3/(3/(-2)