 that -z**2 + 10*z - 6*z**3 - 16 + 0*z**4 + 3*z**4 + 14*z - 4*z**4 = 0.
-4, 1
Let r(t) be the first derivative of -2*t**5/55 + 8*t**4/11 - 128*t**3/33 + 14. Suppose r(l) = 0. Calculate l.
0, 8
Suppose 5*z + 6 = -2*b - 0*b, -b + 2*z = -6. Factor -5*q**4 - 3*q**b + 0*q**4 + q**4 + 7*q**2.
-4*q**2*(q - 1)*(q + 1)
Determine q so that 8/5 - 22/5*q**2 + 14/5*q**4 + 26/5*q**3 - 2*q**5 - 16/5*q = 0.
-1, 2/5, 1, 2
Factor -6/7*y**2 - 4/7*y - 2/7*y**3 + 0.
-2*y*(y + 1)*(y + 2)/7
Let w be 11/6 - (-2)/12. Suppose w*i = i + 5. Factor 0*t**2 + 1/2*t**3 - 1/2*t**i + 0 + 0*t + 0*t**4.
-t**3*(t - 1)*(t + 1)/2
Let q(t) be the second derivative of 0 - 1/15*t**6 + 0*t**2 + 1/3*t**3 + 3/10*t**5 - 1/2*t**4 - 3*t. Factor q(p).
-2*p*(p - 1)**3
Let v(c) = -c**2 + 12*c + 4. Let p be v(12). Factor -6 + 3*s**3 + 5*s + 9*s**2 + s - 9*s - 3*s**p.
-3*(s - 2)*(s - 1)*(s + 1)**2
Let m(k) be the second derivative of -k**10/60480 + k**8/13440 + 5*k**4/12 - 3*k. Let d(s) be the third derivative of m(s). Let d(o) = 0. Calculate o.
-1, 0, 1
Suppose 3*f + 2*k - 1 = 0, 3*k - 1 + 0 = -4*f. Let y be 2/5 + f/(-15). What is h in y*h**2 + 0*h + 0 = 0?
0
Let d(h) be the first derivative of h**5/15 + h**4/12 - h**3/9 - h**2/6 - 2. What is s in d(s) = 0?
-1, 0, 1
Suppose 0 - 2/17*f**2 + 6/17*f = 0. What is f?
0, 3
Let f(z) be the first derivative of -z**6/90 - z**5/20 - z**4/36 + z**3/6 + z**2/3 - 5*z - 3. Let g(t) be the first derivative of f(t). Factor g(q).
-(q - 1)*(q + 1)**2*(q + 2)/3
Suppose h**4 + 16*h**3 + 11*h**2 - 12*h**2 - 15*h**3 - h**5 = 0. What is h?
-1, 0, 1
Let y(s) = 4*s - 12. Let o be y(3). Suppose o = -5*z + 21 - 11. Determine l so that 1/2*l**z + 1/2 + l = 0.
-1
Suppose -5*x + 16 = 3*m, 3*m = 5 + 1. Factor 14*v**2 - 12*v - 9*v**3 + 1 + 3*v**4 - 3*v**3 + x + 4*v**2.
3*(v - 1)**4
Let j(m) be the second derivative of m**7/280 + m**6/96 + m**5/240 - m**4/96 - 3*m**2 + 6*m. Let l(v) be the first derivative of j(v). Let l(a) = 0. What is a?
-1, 0, 1/3
Suppose z - 3 + 3 = 0. Determine w so that 4/3*w - 34/3*w**3 - 2/3*w**2 + 32/3*w**4 + z + 8*w**5 = 0.
-2, -1/3, 0, 1/2
Let w(j) = j - 6. Let l be w(8). Suppose 3*y + f - 2*f + 1 = 0, 0 = 2*f - l. Factor 0*m**3 + 1/2*m**4 - 1/2*m**2 + y*m + 0.
m**2*(m - 1)*(m + 1)/2
Let t be 5/((12/(-8))/3). Let h(b) = 13*b**4 - 3*b**3 - 11*b**2 + 3*b - 2. Let i(m) = 7*m**4 - m**3 - 6*m**2 + m - 1. Let o(w) = t*i(w) + 6*h(w). Factor o(z).
2*(z - 1)*(z + 1)*(2*z - 1)**2
Suppose 4*j**2 - 11 + 12 - j**3 + 2*j**2 - 3*j - 3*j**2 = 0. Calculate j.
1
Factor 6*o + 6*o - 2 + 0*o - 6 - 4*o**2.
-4*(o - 2)*(o - 1)
Suppose -5*c = m + 8 + 17, 5*m + 20 = -4*c. Find u such that 2/3*u**2 - 2/3*u**4 - 2/3*u**3 + m + 2/3*u = 0.
-1, 0, 1
Let d(w) be the first derivative of 1/15*w**3 + 9 + 0*w + 1/10*w**2. Factor d(t).
t*(t + 1)/5
Let u = 5 - 9/2. Factor -1/2*o**3 + 0 + o - u*o**2.
-o*(o - 1)*(o + 2)/2
Let v(k) be the second derivative of k**7/105 - k**6/75 - k**5/50 + k**4/30 + k. Factor v(c).
2*c**2*(c - 1)**2*(c + 1)/5
Let v(b) = b**5 + b**4 + 10*b**3 - 2*b**2 - 5*b + 5. Let r(i) = -i**5 - 2*i**4 - 11*i**3 + 2*i**2 + 6*i - 6. Let z(h) = -5*r(h) - 6*v(h). Factor z(c).
-c**2*(c - 2)*(c - 1)**2
Let m = -22 + 16. Let h be (-64)/(-80)*(-5)/m. Factor h*l**2 + 0*l - 2/3.
2*(l - 1)*(l + 1)/3
Let w(v) = -v + 8. Let y be (3/(-5))/(9/(-90)). Let c be w(y). Factor 0 - 2/9*u**3 + 0*u - 2/9*u**c.
-2*u**2*(u + 1)/9
Let m be 1/2 + 10/4. Let g**2 + 4*g**3 + g - m*g**3 + 2*g**3 - 1 - 4*g**3 = 0. What is g?
-1, 1
Let l(y) be the first derivative of -3*y**4/4 - 6*y**3 + 3*y**2/2 + 18*y - 40. Factor l(b).
-3*(b - 1)*(b + 1)*(b + 6)
Let d(r) be the first derivative of 3*r**2 + 3 - r**4 - 4/3*r**3 - 2*r + 6/5*r**5 - 1/3*r**6. Let d(x) = 0. What is x?
-1, 1
Let t(k) be the second derivative of -2*k**7/21 + 3*k**5/5 + 2*k**4/3 + 10*k. Solve t(u) = 0.
-1, 0, 2
Let t(v) = 5*v**4 - 5*v**3 + 3*v**2 + v. Let i(n) = -2*n**4 + 2*n - 9*n**3 + 0*n**2 + n + 13*n**4 + 5*n**2. Let w(a) = 2*i(a) - 5*t(a). Factor w(l).
-l*(l - 1)**2*(3*l - 1)
Factor 2/3*g**4 - 2/3*g - 4/9 + 2/3*g**2 + 14/9*g**3.
2*(g + 1)**3*(3*g - 2)/9
Let x(u) be the third derivative of u**7/1260 + u**6/180 - 7*u**4/24 - 3*u**2. Let i(g) be the second derivative of x(g). What is c in i(c) = 0?
-2, 0
Suppose 0 = 6*w - 3*w + 45. Let k(f) = -6*f**4 - f**3 - 14*f**2 + 5*f + 5. Let n(a) = -a**4 + a**3 - a**2 + a + 1. Let i(s) = w*n(s) + 3*k(s). Factor i(x).
-3*x**2*(x + 3)**2
Let j = -14 - -43/3. Factor k**2 + k + j + 1/3*k**3.
(k + 1)**3/3
Factor 6*w**4 + 0*w**2 + 8/5*w**3 + 0 + 0*w - 8/5*w**5.
-2*w**3*(w - 4)*(4*w + 1)/5
Let z be -1 - -2 - ((-40)/(-15))/8. Factor 0 + 0*y - 2/3*y**3 + 2/3*y**5 - z*y**2 + 2/3*y**4.
2*y**2*(y - 1)*(y + 1)**2/3
Let r be 27/6 - (-5)/(-10). Determine z, given that 2/5*z**3 + 0*z + 1/5*z**r + 0*z**2 + 0 = 0.
-2, 0
Let c(z) be the first derivative of 0*z + 1/20*z**5 - 1 - 1/2*z**2 - 1/4*z**4 + 0*z**3. Let x(m) be the second derivative of c(m). Factor x(i).
3*i*(i - 2)
Let j(r) = 20*r**2 - 72*r + 50. Let o(q) = -q**3 - 59*q**2 + 217*q - 150. Let a(u) = -7*j(u) - 2*o(u). Factor a(z).
2*(z - 5)**2*(z - 1)
Let q be 0*(2 - 5)/(-6). Let x be -2*(1 - q) - -6. What is d in 55*d**3 + 6*d + 49*d**3 + 45*d**2 - 2*d**3 + 26*d**4 + 37*d**x = 0?
-1, -1/3, -2/7, 0
Let n(y) = 5*y**3 + 5*y**2 + y - 2. Let x(d) = -4*d**3 - 4*d**2 + 2. Let r(g) = 2*n(g) + 3*x(g). Factor r(z).
-2*(z - 1)*(z + 1)**2
Let m be (1 + 5)*6/9. Let y(p) be the second derivative of 0*p**2 - 1/2*p**3 + 0 + 0*p**m + p + 3/20*p**5. Factor y(f).
3*f*(f - 1)*(f + 1)
Let w(t) be the first derivative of 35*t**4/4 - 10*t**3/3 - 35*t**2/2 + 10*t + 4. Factor w(j).
5*(j - 1)*(j + 1)*(7*j - 2)
Factor -o - 2*o - o**3 + 4*o + o**4 - o**2.
o*(o - 1)**2*(o + 1)
Let v(a) be the second derivative of -a**7/21 - a**6/5 - 3*a**5/10 - a**4/6 - 15*a. Factor v(z).
-2*z**2*(z + 1)**3
Let x(j) be the second derivative of 0 - 5*j - 6*j**2 - 6*j**3 + 3/4*j**5 - 3/4*j**4. Let x(a) = 0. What is a?
-1, -2/5, 2
Suppose -10 = -7*t + 11. Let h(w) be the first derivative of 1/6*w**t - 3/4*w**2 - 1 + w. Find y such that h(y) = 0.
1, 2
Let i(w) = -w**3 + 4*w**2 - 4*w + 3. Let b be i(2). Factor 0*n**5 + 2*n - 4*n**b + n**5 + n**5.
2*n*(n - 1)**2*(n + 1)**2
Let h be -5*(23/5 - 3). Let u be 2/(-8) + (-2)/h. Let 2/5 + 0*d**3 + u*d + 2/5*d**4 - 4/5*d**2 = 0. What is d?
-1, 1
Factor -2*t + 1105 - 3*t**2 - 10*t - 1117.
-3*(t + 2)**2
Let l(d) be the first derivative of 0*d**2 + 0*d - 10*d**6 + 5 + 0*d**3 - 39/5*d**5 - 3/2*d**4. Determine y so that l(y) = 0.
-2/5, -1/4, 0
Let r(m) = -16*m**2 - 181*m - 1445. Let x(u) = 3*u**2 + 36*u + 289. Let s(v) = 2*r(v) + 11*x(v). Factor s(a).
(a + 17)**2
Let t(v) = -v**3 + 3*v**2 - 3*v + 3. Let x(s) = -4. Let w(r) = 1. Let b(g) = 5*w(g) + x(g). Let n(q) = -4*b(q) + 2*t(q). Solve n(f) = 0.
1
Let q = -2 + 5. Let t = 1 + q. Factor -4/5*m**t - 3/5*m**5 + 2/5*m**2 + 1/5*m**3 + 0*m + 0.
-m**2*(m + 1)**2*(3*m - 2)/5
Let p be (-33)/(-7) + 16/56. Let v be 0 - 4/(8/(-6)). Factor k**4 - 2*k**2 - 4*k**3 + k**4 + 2*k**v + 2*k**p.
2*k**2*(k - 1)*(k + 1)**2
Let f(t) be the third derivative of t**8/1428 - t**7/595 + t**6/1020 - 14*t**2. Solve f(n) = 0.
0, 1/2, 1
Let m be 3 - (-2)/(-1) - -2. Suppose 4*u - 6*u + 5*u**2 - u**3 + 2*u - m*u - 9 = 0. Calculate u.
-1, 3
Let y be 15/10*4/3. Let l = 2 + y. Suppose j**l + j**3 - 2*j**3 + 0*j**4 = 0. Calculate j.
0, 1
Let k(y) be the third derivative of 2*y**2 + 0*y**4 + 0*y + 1/3*y**3 + 0 + 1/540*y**6 + 1/180*y**5. Let g(p) be the first derivative of k(p). Factor g(t).
2*t*(t + 1)/3
Let s = -10 + -134. Let f be s/(-66) - 2/11. Solve -2*m**2 - 2/3*m + 0 - 2/3*m**4 - f*m**3 = 0 for m.
-1, 0
Let l(h) be the third derivative of -h**8/10080 + h**6/1080 + h**4/6 - h**2. Let o(i) be the second derivative of l(i). Factor o(x).
-2*x*(x - 1)*(x + 1)/3
Suppose -3*f = -4*f - 2*f. Solve 0 + f*m + 0*m**2 - 3/5*m**5 + 9/5*m**4 - 6/5*m**3 = 0.
0, 1, 2
Factor -2/13*r**4 - 2*r**2 - 8/13 - 24/13*r - 12/13*r**3.
-2*(r + 1)**2*(r + 2)**2/13
Suppose -3 - 17 = -5*l. Suppose 7*g - 6*g - l = 0. Factor 8/13*b**3 - 8/13*b**g - 2/13*b**2 + 0 + 0*b.
-2*b**2*(2*b - 1)**2/13
Let a(t) = -13*t**2 - 4*t - 13. Let u(p) = 7*p**2 + 2*p + 7. Let r(v) = 6*a(v) + 11*u(v). Factor r(z).
-(z + 1)**2
Suppose 0*f + 3*f - 12 = 0. Let u(i) = 5*i**3 + 3*i**2 - 11. Let w(p) = 6*p**3 +