vative of 0 + 1/12*c**4 + 1/30*c**5 + 0*c**3 + 0*c - 2*c**2 - h*c**6 - 1/105*c**7. Factor i(z).
-2*z*(z - 1)*(z + 1)**2
Let n(z) = -4*z**2 - 8*z + 15. Let k(q) = -q**3 + 4*q**2 - 2*q + 5. Let h be k(4). Let w(t) = 1. Let p(c) = h*w(c) + n(c). Determine f so that p(f) = 0.
-3, 1
Let h(c) be the first derivative of -4*c**5/15 - c**4 - 8*c**3/9 + 12. Determine g so that h(g) = 0.
-2, -1, 0
Let y(h) be the second derivative of -1/100*h**5 + 0 + h + 1/10*h**2 + 1/30*h**3 - 1/60*h**4. Factor y(i).
-(i - 1)*(i + 1)**2/5
Suppose -4*y = -3*q - 13, 2*y - 3*q - 5 + 0 = 0. Let w(i) be the first derivative of -y + 0*i**2 - 1/16*i**4 - 1/12*i**3 + 0*i. Factor w(z).
-z**2*(z + 1)/4
Suppose 3*t = 4*i - 5 - 0, -4*t + 4 = 0. Let a be (-1)/5 + (468/(-210) - -3). Let -2/7*h**2 + 4/7 - 2/7*h**4 + i*h**3 - a*h**5 - 10/7*h = 0. Calculate h.
-2, -1, 1/2, 1
Let t(f) be the first derivative of -f**3 + 9*f**2 - 15*f + 3. Factor t(n).
-3*(n - 5)*(n - 1)
Let i = 12 - 9. Let d(l) be the first derivative of l - 1 - 1/3*l**i + 0*l**2. Solve d(b) = 0.
-1, 1
Let 4*f**2 - 9*f**3 + 30*f**3 + 14*f**4 - 12*f + 8*f**2 - 8*f**4 = 0. What is f?
-2, 0, 1/2
Let d(t) = 9*t**2 + 7*t. Let g(a) = a**3 - a**2 + 1. Let h(y) = -3*d(y) - 6*g(y). Solve h(f) = 0.
-2, -1, -1/2
Let q be (12/(-5))/(8/(-8)). Let v = q + -2. Let -2/5*a**4 + 0 + 2/5*a - 2/5*a**3 + v*a**2 = 0. Calculate a.
-1, 0, 1
Factor -18*m**3 + m**2 + 13*m**2 - 2*m**5 + 383*m**4 - 373*m**4 - 4*m.
-2*m*(m - 2)*(m - 1)**3
Factor -3*v**2 - 3/2*v + 0*v**3 + 3*v**4 + 3/2*v**5 + 0.
3*v*(v - 1)*(v + 1)**3/2
Let z(q) = 1 + 3*q + 0*q**3 - 2*q**3 - q + 3*q**3 - 2*q**2. Let d be z(2). Factor 7*s - d*s + 4*s - 2*s**2 - 4.
-2*(s - 2)*(s - 1)
Let f(n) be the third derivative of -n**6/210 - n**5/105 + 5*n**4/42 - 2*n**3/7 + 20*n**2. Factor f(k).
-4*(k - 1)**2*(k + 3)/7
Let t(n) be the third derivative of 0 - 1/10*n**5 + 1/15*n**6 + 5*n**2 - 1/84*n**8 + 0*n**3 - 1/6*n**4 + 1/35*n**7 + 0*n. Suppose t(b) = 0. Calculate b.
-1, -1/2, 0, 1, 2
Let n(v) be the first derivative of v**3/3 + 7*v**2 + 49*v - 37. Factor n(q).
(q + 7)**2
Let q(t) be the third derivative of -2*t**7/105 - t**6/15 - t**5/15 - t**2. Let q(p) = 0. Calculate p.
-1, 0
Let y be 2/(-6)*(-1)/((-1)/(-9)). Factor 0*s + 1/3*s**2 + 0 - 1/3*s**y.
-s**2*(s - 1)/3
Let i = -670/33 - -62/3. Suppose 4*o - 4 = -4*d, 6*d - 3*d = 4*o + 10. Factor 2/11 + 2/11*j**d + i*j.
2*(j + 1)**2/11
Let p(c) = 5*c**5 + 25*c**4 - 35*c**3 + 30*c + 25. Let f(d) = d**5 + 4*d**4 - 6*d**3 + 5*d + 4. Let j(w) = 25*f(w) - 4*p(w). Factor j(v).
5*v*(v - 1)**2*(v + 1)**2
Suppose 0 = -16*x + 11*x + 20. Let i(r) be the first derivative of 0*r**2 - 2 + 1/12*r**3 + 0*r**x + 0*r - 1/20*r**5. Factor i(o).
-o**2*(o - 1)*(o + 1)/4
Suppose 3*b - 24 = -3*b. Let d(p) be the second derivative of p - 1/8*p**b + 0 + 0*p**2 - 1/4*p**3. Factor d(x).
-3*x*(x + 1)/2
Let r(l) be the first derivative of -l**6/630 - l**5/420 + l**4/84 + l**3/3 - 1. Let c(m) be the third derivative of r(m). Factor c(v).
-2*(v + 1)*(2*v - 1)/7
Let w(r) be the first derivative of -r**6/12 + 3*r**5/10 - r**4/8 - r**3/2 + r**2/2 - 8. What is q in w(q) = 0?
-1, 0, 1, 2
Let a(i) = i**4 + i. Let w(q) = -4*q**4 + 2*q**3 + q**2 - 5*q. Let t = 0 + -6. Let x(k) = t*a(k) - 2*w(k). Determine n, given that x(n) = 0.
-1, 0, 1, 2
Let n be 0 + 116/216*3. Let y = n + -10/9. Let 2*i**3 + 2*i - 1/2*i**4 - 3*i**2 - y = 0. What is i?
1
Let d(v) be the first derivative of v**6/45 - 8*v**5/75 + 2*v**4/15 + 4*v**3/45 - v**2/3 + 4*v/15 + 40. Find i, given that d(i) = 0.
-1, 1, 2
Let x(q) be the third derivative of -q**6/30 + 4*q**5/15 + q**4/6 - 8*q**3/3 - 32*q**2. What is z in x(z) = 0?
-1, 1, 4
Let h(m) be the second derivative of -3*m**5/4 - 65*m**4/12 - 5*m**3/3 + 20*m**2 - 4*m. Factor h(j).
-5*(j + 1)*(j + 4)*(3*j - 2)
Let m(v) be the first derivative of -2*v**3/3 + v**2 - 3. Suppose m(r) = 0. Calculate r.
0, 1
Let d = -4 - -4. Suppose 0 = -2*z + p + 8 - 0, z + 5*p + 18 = d. Factor v + 3*v**z + 2*v**2 - 4*v**2.
v*(v + 1)
Let s be 19 + -5 - 6 - 4. Factor 0 + 3/4*k**2 + 3/4*k**s + 0*k + 3/2*k**3.
3*k**2*(k + 1)**2/4
Suppose 3*b = -2*x, 5*b - 5*x = -5 + 30. Factor -1/3*z - 4/3*z**b + z**3 + 2/3.
(z - 1)**2*(3*z + 2)/3
Let c(z) be the first derivative of z - 1. Let n be (9/18)/((-2)/4). Let y(j) = 2*j**2 - 5. Let m(r) = n*y(r) - 3*c(r). What is i in m(i) = 0?
-1, 1
Let t(b) be the third derivative of -b**7/630 + b**6/180 + 4*b**2. Factor t(n).
-n**3*(n - 2)/3
Suppose 3 - 2 = 2*l + 3*x, 2*l = 5*x + 9. Let p be 4/10 + 18/5. Find y, given that y**l + y**3 - y**4 - p*y**3 + 2*y**3 + y**5 = 0.
-1, 0, 1
Let p = 27 + -23. Let z be (-5)/p*2 + 3. Factor -1/2*h**2 + 1/2 + z*h**3 - 1/2*h.
(h - 1)**2*(h + 1)/2
Let i be (44/6 - (-3 + 10))*2. Find z, given that -i*z**2 + 4/3*z**3 - 2/3*z**4 + 0*z + 0 = 0.
0, 1
Let p(g) be the first derivative of -2*g**3/9 + 3*g**2 + 20*g/3 - 16. Factor p(q).
-2*(q - 10)*(q + 1)/3
Suppose -2*x + 1 = -3. Factor -5*l**2 + 7*l + 2 + x*l**2 - l**2.
-(l - 2)*(4*l + 1)
Find i such that -74 + 74 + 2*i**2 + 6*i = 0.
-3, 0
Find i such that -2*i**3 + 0*i**5 + 6*i**4 - 3*i**5 + 0*i**5 - i**3 = 0.
0, 1
Let -27/7*i**4 - 12/7 - 39/7*i**2 + 60/7*i - 90/7*i**3 = 0. Calculate i.
-2, 1/3
Factor 3*g**5 + 2*g + 0*g**2 + 4*g**3 - 12*g**2 - 12*g**4 + 14*g**3 + g.
3*g*(g - 1)**4
Let l(y) be the third derivative of y**5/30 - 7*y**4/12 - 12*y**2. Suppose l(q) = 0. What is q?
0, 7
Factor -3/4*o**2 - 3*o - 9/4.
-3*(o + 1)*(o + 3)/4
Let w(s) be the second derivative of s**6/120 + s**5/10 + s**4/2 - s**3/2 + 3*s. Let y(g) be the second derivative of w(g). Factor y(t).
3*(t + 2)**2
Let k(l) = l**3 - 2*l**2 + 3*l - 2. Let r be k(2). Let g = -1 + r. Suppose -1/3*y**g + y**2 - y + 1/3 = 0. What is y?
1
Let s(y) be the second derivative of -4/5*y**2 + 1/25*y**5 - 2/15*y**3 + 10*y + 2/15*y**4 + 0. Factor s(w).
4*(w - 1)*(w + 1)*(w + 2)/5
Let i(l) be the first derivative of 1/2*l**6 + 3/5*l**5 - 2*l**3 + 3/2*l**2 + 3*l + 4 - 3/2*l**4. Factor i(m).
3*(m - 1)**2*(m + 1)**3
Suppose -3*u - 10 = m, 15 = 5*m - 2*m. Let t = u - -5. Factor 3*h**3 + t*h**2 - 2*h**2 + h - 2*h**3.
h*(h - 1)**2
Let q be 9/(-6) - 45/(-10). Let h(p) be the third derivative of 0*p + 0 + 1/6*p**4 + 1/60*p**6 + 0*p**q - 2*p**2 + 1/10*p**5. Determine s so that h(s) = 0.
-2, -1, 0
Let s(u) = u**2 + 11*u - 5. Let n be s(-12). Let k(b) = 3*b**3 + b**2 - 7*b. Let h(w) = -w**3 + 2*w. Let y(m) = n*h(m) + 2*k(m). Find f such that y(f) = 0.
0, 2
Let r(k) = 6*k**2 - 2*k - 5. Let w = -9 + 4. Let y(b) = 7*b**2 - 2*b - 6. Let v(a) = w*y(a) + 6*r(a). Factor v(i).
i*(i - 2)
Suppose b = 5*p - 8, 3 = 2*b + 4*p - 9. Suppose -4*m - b = -14. Solve 4*y - 2*y**3 - 5*y + m*y**3 = 0.
-1, 0, 1
Let j(n) = 20*n**2 - 30*n + 53. Let d(s) = -7*s**2 + 10*s - 18. Let g(r) = 17*d(r) + 6*j(r). Let y be g(9). Solve 4*u**2 + 7/2*u + 1/2 - 8*u**y = 0.
-1/4, 1
Let k = -99 - -99. Let s(j) be the second derivative of -4*j + k + 0*j**3 + 0*j**2 + 1/12*j**4. Find r such that s(r) = 0.
0
Let j(s) be the third derivative of -s**6/30 + 4*s**5/15 - 2*s**4/3 - 3*s**2. Factor j(r).
-4*r*(r - 2)**2
Let -4/17*k**4 - 2/17*k**3 + 0 + 2/17*k**5 + 0*k + 4/17*k**2 = 0. Calculate k.
-1, 0, 1, 2
Suppose -3*v + 21 = 3*j, 4*j - 23 = -v - 2*v. Factor 7 - 2*t**2 - j*t**3 - 7.
-2*t**2*(t + 1)
Let f(h) = h**3 - h + 1. Suppose -2*m + 1 = 3. Let v(l) = -6*l**3 + 2*l**2 + 5*l - 5. Let q(s) = m*v(s) - 5*f(s). Factor q(p).
p**2*(p - 2)
Let w = -377/627 + 12/19. Let h(v) be the third derivative of w*v**3 + 1/66*v**4 + 0*v - v**2 + 1/330*v**5 + 0. Find b, given that h(b) = 0.
-1
Let h(a) be the third derivative of 1/315*a**7 + 0*a + 1/504*a**8 + 0*a**4 + 0*a**3 - 5*a**2 + 0*a**5 + 0 + 0*a**6. Factor h(z).
2*z**4*(z + 1)/3
Factor -2/7*z**2 - 8/7 - 10/7*z.
-2*(z + 1)*(z + 4)/7
Let o(l) be the third derivative of 1/504*l**8 + 4/9*l**4 - 1/45*l**7 + 0 + 19/180*l**6 + 0*l + 9*l**2 - 5/18*l**5 - 4/9*l**3. Factor o(r).
2*(r - 2)**2*(r - 1)**3/3
Let c = -15 - -18. Let q(o) be the second derivative of 2/3*o**c + 0 + 2*o - 2*o**2 - 1/12*o**4. Factor q(f).
-(f - 2)**2
Let q = 190 + -188. Solve 1/4*x**q + 1/4 - 1/2*x = 0 for x.
1
Factor -64 - 32*n - 32*n**2 - 28*n**2 + 56*n**2.
-4*(n + 4)**2
Suppose 0*x = 3*r - 4*x + 9, 8 = r - 5*x. Let k(y) = -y**3 - 6*y**2 + 8*y + 9. Let h be k(r). Factor -2/7*q**3 + 0 - 2/7*