ird derivative of 0 + 3/28*o**4 + 0*o + 2/21*o**3 + y*o**5 - o**2. Factor f(v).
2*(v + 1)*(7*v + 2)/7
Let g(t) be the first derivative of -6*t**5/55 + 6*t**3/11 - 6*t**2/11 - 19. Solve g(k) = 0 for k.
-2, 0, 1
Let f be ((-6)/(-10))/(-3)*(-30)/72. Let a(y) be the second derivative of -1/12*y**4 + 0 - 1/40*y**5 + f*y**3 + y + 1/2*y**2. Factor a(j).
-(j - 1)*(j + 1)*(j + 2)/2
Factor 5/3*z + 5/3*z**3 + 10/3*z**2 + 0.
5*z*(z + 1)**2/3
Let y = -374/5 + 75. Let j(p) be the first derivative of -3 - 1/25*p**5 + 1/5*p - y*p**2 + 1/10*p**4 + 0*p**3. Let j(u) = 0. What is u?
-1, 1
Let i(b) = -17*b**3 + 33*b**2 + 8*b - 15. Let f(r) = -4*r**3 + 8*r**2 + 2*r - 4. Let j(a) = -18*f(a) + 4*i(a). Solve j(z) = 0.
-1, 1, 3
Suppose -1 + 11 = 5*a. Suppose -3*u + 10 = 5*p, -u + 2 = p - 4*u. Let -5*l - 2*l**a + 3*l**3 + p + 4*l**3 - 7*l**2 + 7*l**4 - 2*l**3 = 0. Calculate l.
-1, 2/7, 1
Let z(g) be the third derivative of g**8/1008 + 2*g**7/315 - g**6/90 - 11*g**5/90 + g**4/24 + g**3 + 6*g**2. Find k, given that z(k) = 0.
-3, -1, 1, 2
Let r be (-3 + (-10)/(-4))*-6. Let f(l) be the third derivative of -1/60*l**6 - 1/45*l**5 + 0 + 0*l + 1/36*l**4 - l**2 + 0*l**r. Suppose f(s) = 0. What is s?
-1, 0, 1/3
Let v(x) = x**5 - 6*x**4 - 8*x**3 + 6*x**2 + 2*x. Let m(o) = -o**5 + 5*o**4 + 7*o**3 - 5*o**2 - 2*o. Let c(b) = -5*m(b) - 4*v(b). Factor c(f).
f*(f - 2)*(f - 1)*(f + 1)**2
Let g(f) be the third derivative of f**2 - 1/30*f**4 + 1/60*f**6 + 0*f + 0 + 1/525*f**7 - 1/150*f**5 + 0*f**3 - 1/280*f**8. Solve g(p) = 0.
-1, -2/3, 0, 1
Factor -21*m**5 + 19*m**4 - 28*m**3 + 22*m**3 + 8*m**4.
-3*m**3*(m - 1)*(7*m - 2)
Suppose -5*d + 7 = -3. Let -d - 18*s + 0*s**2 + 38*s**3 - 30*s**2 + 12*s**3 = 0. What is s?
-1/5, 1
Suppose 3 = 3*w + 5*k - 22, -k = 2*w - 5. Solve 3/5*l**2 + 0*l + 0 + w*l**3 - 3/5*l**4 = 0.
-1, 0, 1
Factor -2/5 + 1/5*m + 3/5*m**2.
(m + 1)*(3*m - 2)/5
Suppose -8/5*z**3 - 1/5 - 6/5*z - 12/5*z**2 = 0. What is z?
-1/2
Let u(d) be the first derivative of d**4/20 - d**3/15 - 2*d**2/5 + 4*d/5 + 22. Factor u(v).
(v - 2)*(v - 1)*(v + 2)/5
Suppose 5*c = -t + 21, -4*t - 15 = -5*t + c. Determine q so that 2*q + q**2 + 16 + t*q + 2*q**2 + 11 = 0.
-3
Let v(b) = -b**2 - 2*b + 15. Let n be v(-5). Factor 2/11*g**3 - 2/11*g**2 + n - 4/11*g.
2*g*(g - 2)*(g + 1)/11
Solve n**4 - 2*n**2 + 237*n**5 - 240*n**5 + n**3 + 3*n**4 = 0.
-2/3, 0, 1
Let w(x) be the second derivative of 1/4*x**4 - 4*x + 0*x**2 + 0 + 3/2*x**3. Solve w(p) = 0.
-3, 0
Let a(m) be the first derivative of -m**6/360 + m**5/80 + m**4/24 + 5*m**3/3 + 5. Let k(s) be the third derivative of a(s). Suppose k(f) = 0. Calculate f.
-1/2, 2
Determine t, given that 2/9*t**2 - 2/3*t + 0 = 0.
0, 3
Let i = 47 - 45. Factor 10/9*u + 4/9 + 8/9*u**i + 2/9*u**3.
2*(u + 1)**2*(u + 2)/9
Let j(u) be the second derivative of -u**5/10 + u**4/2 + u**3/3 - 3*u**2 + 5*u. Factor j(l).
-2*(l - 3)*(l - 1)*(l + 1)
Let m(i) = 25*i**4 + 85*i**3 + 130*i**2 + 60*i. Let h(a) = -8*a**4 - 28*a**3 - 43*a**2 - 20*a. Let w(j) = -10*h(j) - 3*m(j). Factor w(q).
5*q*(q + 1)*(q + 2)**2
Factor -1/8*p**4 + 0*p**3 + 1/4*p**2 - 1/8 + 0*p.
-(p - 1)**2*(p + 1)**2/8
Let n(s) = 8*s - 12. Let d(o) = -o**2 + 8*o - 13. Let j(b) = -2*d(b) + 3*n(b). Find q such that j(q) = 0.
-5, 1
Let t = -12 + 14. Let a(n) be the third derivative of 0*n**4 + 1/840*n**7 + 0 + 0*n + 0*n**3 + 0*n**5 + 0*n**6 - 2*n**t. Factor a(h).
h**4/4
Let s be ((-6)/(-135))/(-3 + 52/12). Let d(q) be the second derivative of -2*q + 0*q**2 - 2/15*q**3 - s*q**4 + 0. Find c such that d(c) = 0.
-2, 0
Let f(q) be the third derivative of -q**2 + 0*q + 1/42*q**5 + 0 + 1/7*q**4 + 4/21*q**3. Factor f(b).
2*(b + 2)*(5*b + 2)/7
Let g(x) be the first derivative of x**7/490 + 3*x**6/280 + 3*x**5/140 + x**4/56 + 3*x**2 - 3. Let f(j) be the second derivative of g(j). Factor f(q).
3*q*(q + 1)**3/7
Suppose 3*m + 4*s + 4 + 1 = 0, 0 = 2*m - 4*s - 30. Factor -k + k**2 - 2 + m*k + 3 - 2*k.
(k + 1)**2
Let l(t) be the second derivative of -t**8/3360 + t**7/315 - t**6/72 + t**5/30 - t**4/4 + t. Let g(d) be the third derivative of l(d). Factor g(a).
-2*(a - 2)*(a - 1)**2
Let h be (2 - 1)*-1 - -1. Suppose 0 = 4*r - 16, -5*a = -3*r + 2*r - 6. Find x, given that h - 1/4*x**a + 0*x = 0.
0
Let n = 17 - 15. Let m(x) be the first derivative of x - 3/2*x**n - 2 - 4/3*x**3. Determine j so that m(j) = 0.
-1, 1/4
Let p(s) be the second derivative of 21*s**5/20 + 79*s**4/24 - s**3 - s**2 + 20*s. Factor p(n).
(n + 2)*(6*n + 1)*(7*n - 2)/2
Let k = 2926 - 17495/6. Let h = -23/3 + k. Suppose -s + 1/2*s**2 + h*s**4 + 0 + 4*s**3 = 0. Calculate s.
-1, 0, 2/5
Let w(q) = 2*q - 8. Suppose -2*g = 4*g - 30. Let p be w(g). Factor 4/3 + p*s + 2/3*s**2.
2*(s + 1)*(s + 2)/3
Let q(p) be the third derivative of 9*p**5/50 + p**4/4 - 4*p**3/5 - 3*p**2. Factor q(y).
6*(y + 1)*(9*y - 4)/5
Suppose 0 = 5*q + 13 - 53. Let s = q + -4. Factor -30*l**2 - 2 - 15*l - 21*l**s - 4*l**5 - 30*l**2 + 23*l**2 - 41*l**3.
-(l + 1)**3*(l + 2)*(4*l + 1)
Let p(u) = -5*u + 2*u**2 + u - 2*u**3 + 7*u - 3. Let v(b) = -5 + 10*b - 5 - 6*b**3 + 6*b**2 + 0*b**3. Let t(s) = 10*p(s) - 3*v(s). Factor t(o).
-2*o**2*(o - 1)
Let h(q) = q + 2. Let a be h(-6). Let k be (-6)/(-5)*(1 - a). Factor 4 + 4*n - k + 1 + 2*n**2 + 3.
2*(n + 1)**2
Let j(n) = -n**2 - n + 1. Suppose w = 2 - 6. Let q(k) = -k**2 - k. Let s(y) = w*j(y) + 2*q(y). Factor s(m).
2*(m - 1)*(m + 2)
Suppose -2 = -2*w + 2*h, 19*h = 18*h + 1. Factor 2/5*a**w - 2/5 + 0*a.
2*(a - 1)*(a + 1)/5
Let b = -2/139 - -151/834. Factor -1/3 + b*z**2 + 1/6*z.
(z - 1)*(z + 2)/6
Let k(i) = 4 - 2 + 3*i - 1. Let o be k(1). Find h, given that -14*h - o + 7 + 14*h**3 - 10*h**4 + 1 + 6*h**2 = 0.
-1, 2/5, 1
Let b = -7 + 11. Suppose 0 = b*r - 3 - 21. Suppose 2 - 12*p + r*p + 2*p**2 + 2*p = 0. Calculate p.
1
Let s(o) = o**3 - o**2 + 1. Let r(y) be the first derivative of 3*y**4/2 + 3*y - 3. Let g(l) = -r(l) + 3*s(l). Let g(a) = 0. Calculate a.
-1, 0
Let y = 225 + -225. Factor 0*o**2 - 2/13*o**4 + y*o + 0*o**3 + 2/13*o**5 + 0.
2*o**4*(o - 1)/13
Let v be (-4 - 0)*(-1)/1. Suppose -5 + 4 - v*z**3 - 2*z + z**2 + 6*z**2 = 0. Calculate z.
-1/4, 1
Let t(z) be the second derivative of -z**7/84 - z**6/12 - z**5/5 - z**4/6 - 5*z. Factor t(k).
-k**2*(k + 1)*(k + 2)**2/2
Suppose 77*h**3 - 12*h**4 + 75*h - 118*h**2 - 8*h**2 - 2*h**3 - 12 = 0. What is h?
1/4, 1, 4
Let i(m) = -m**2 - 4*m - 8. Suppose 3*h = 3*d - 11 + 32, -10 = 5*d. Let l(s) = -2*s**2 + s**2 - 10 - 4*s + 1. Let u(q) = h*i(q) - 4*l(q). Factor u(j).
-(j + 2)**2
Let y = 32 - 15. Factor 0 - 2*a**2 + 12*a - y*a + 2 + 5*a**3.
(a - 1)*(a + 1)*(5*a - 2)
Let d(k) = -7*k**4 + k**3 + 4*k. Let p(c) = -c**4 + c**3 - 2 + c + 2. Let o(h) = d(h) - 4*p(h). Let o(x) = 0. What is x?
-1, 0
Suppose 4*d = 4*v, 0 = 4*d - v - 6 - 0. Factor -8/3*f + 2/3*f**d + 8/3.
2*(f - 2)**2/3
Suppose 2*w = -4*l - 20, -l - 15 + 10 = 0. Let y be (2/(-6))/(1 - 2). Factor w*j - 1/3 + y*j**2.
(j - 1)*(j + 1)/3
Suppose 4/3*v + 4/3*v**4 - 2*v**3 - 2*v**2 + 0 = 0. Calculate v.
-1, 0, 1/2, 2
Let y be (-11 + -4)*2/(-6). Factor -2*j**4 + 0 + j**3 + j**y + 0.
j**3*(j - 1)**2
Let z be 1*(-2 - 723/(-360)). Let t(j) be the third derivative of 1/600*j**6 - 1/300*j**5 + 0*j - j**2 - z*j**4 + 0 + 1/30*j**3. Factor t(m).
(m - 1)**2*(m + 1)/5
Let a(h) = h**2 - 8*h + 9. Let i be a(7). Let g(f) = -f + 8. Let d be g(8). Let i - 4 + 2*u**4 + 4*u**3 - 4*u + d = 0. What is u?
-1, 1
Let g(b) = -b - 6. Let v be g(-6). Let h be (-3 - v)*-1 + 0. What is n in 2*n - 8*n - 3*n**3 - 9*n**2 + 6*n**h + 9*n**4 + 0*n**5 + 3*n**5 = 0?
-2, -1, 0, 1
Let i(m) = m - 12. Let y be i(7). Let b = y - -8. Factor -2*n**b + n**3 + 3*n**3 - 4*n**3.
-2*n**3
Let n(v) be the second derivative of -8*v**2 - 21*v**4 + v + 0 - 81/10*v**5 + 68/3*v**3. Factor n(d).
-2*(d + 2)*(9*d - 2)**2
Let g(n) be the first derivative of n**6/30 + n**5/25 - 3*n**4/20 - n**3/15 + n**2/5 - 1. Factor g(m).
m*(m - 1)**2*(m + 1)*(m + 2)/5
Let q(r) be the third derivative of 1/18*r**3 + 4*r**2 + 0 - 1/144*r**4 + 0*r - 1/120*r**5. Let q(b) = 0. What is b?
-1, 2/3
Let j be 4/(-14) + 777/(-196) + 5. Let u(f) be the first derivative of -j*f + 3/2*f**2 - 3/4*f**3 - 2. Suppose u(t) = 0. What is t?
1/3, 1
Find q such that 1/3 - 1/2*q**2 - 1/6*q**3 + 1/6*q + 1/6*q**4 = 0.
-1, 1, 2
Let c(t) = t**3 - 6*t**2 - 6*t - 1. Let h be c(7). What is 