be the first derivative of w(s). Find r such that z(r) = 0.
0, 2/3
Suppose 3*v - 3*v**3 - 2*v**2 + 8*v**2 + 0*v - 6 = 0. Calculate v.
-1, 1, 2
Let 29*r - 5*r - 3*r**2 + r**2 - 2*r**2 + 64 = 0. What is r?
-2, 8
Let c(f) = 20*f**3 + 15*f**2 + 20*f. Let l(b) = -b**3 - b**2 - b. Let n(t) = c(t) + 25*l(t). Factor n(h).
-5*h*(h + 1)**2
Let i = -9 - -14. Let g(s) be the second derivative of 1/2*s**2 - 5/12*s**3 - s + 1/8*s**i - 1/12*s**4 + 0. Solve g(r) = 0 for r.
-1, 2/5, 1
Let g = -3 - -1. Let i = 5 + g. Find p, given that 2*p - p**2 - 3*p**2 + i + 2*p**3 - 3 = 0.
0, 1
Let p(c) be the first derivative of -121*c**3 - 66*c**2 - 12*c + 7. Factor p(x).
-3*(11*x + 2)**2
Factor -5/2*b**2 + 2*b**3 - 1/2*b**4 + 0 + b.
-b*(b - 2)*(b - 1)**2/2
Let a(y) = 7*y**2 - 4*y + 7. Let g(n) = 4*n**2 - 2*n + 4. Suppose -3*s + 8*s = -25. Let p(x) = s*g(x) + 3*a(x). Solve p(o) = 0.
1
Let x(h) be the first derivative of -8*h**5/5 - 55*h**4/14 + 8*h**3/21 + 4*h**2/7 + 7. Find w, given that x(w) = 0.
-2, -1/4, 0, 2/7
Let i(g) = g - 7. Let f be i(6). Let h be (4 + -3)/(f/(-3)). Factor 2*w**h + w - 2*w - w - 2 + 2*w**2.
2*(w - 1)*(w + 1)**2
Let t(h) be the second derivative of 4*h**6/105 - h**5/70 - h**4/14 + 5*h. Factor t(b).
2*b**2*(b - 1)*(4*b + 3)/7
Let a(v) be the first derivative of -3*v**5/5 + 26*v**4/7 - 8*v**3 + 48*v**2/7 - 16*v/7 + 1. Determine d so that a(d) = 0.
2/7, 2/3, 2
Let s(c) = -16*c**5 - 36*c**4 + 21*c**3 + 39*c**2 - 5*c - 14. Let a(p) = 3*p**5 + 7*p**4 - 4*p**3 - 8*p**2 + p + 3. Let w(z) = -11*a(z) - 2*s(z). Factor w(f).
-(f - 1)**2*(f + 1)**2*(f + 5)
Let t(j) be the first derivative of -2/45*j**5 + 1/9*j**4 - 3 + 0*j + 0*j**2 - 2/27*j**3. Factor t(b).
-2*b**2*(b - 1)**2/9
Factor 5/4*i**2 + 2*i + 1 + 1/4*i**3.
(i + 1)*(i + 2)**2/4
Let v = -282/7 - -1431/35. Factor 12/5 + v*b**2 - 12/5*b.
3*(b - 2)**2/5
Let l(j) be the second derivative of 3*j - 1/15*j**4 + 0*j**5 + 1/105*j**7 + 0*j**2 + 2/75*j**6 - 1/15*j**3 + 0. Factor l(i).
2*i*(i - 1)*(i + 1)**3/5
Solve -4/7*v**2 - 4/7*v**4 + 0 + 8/7*v**3 + 0*v = 0.
0, 1
Factor 0 - 45/4*x + 5/4*x**4 + 25/4*x**3 + 15/4*x**2.
5*x*(x - 1)*(x + 3)**2/4
Factor 8/7*i**4 + 12/7*i**2 - 18/7*i**3 + 0 - 2/7*i.
2*i*(i - 1)**2*(4*i - 1)/7
Let d(m) be the first derivative of -m**7/1260 - m**6/540 + m**5/90 + 5*m**3/3 - 4. Let u(b) be the third derivative of d(b). Let u(z) = 0. What is z?
-2, 0, 1
Suppose -4*y = -2*m - 16, -2*y + 15 = y. Factor 4*g + 0*g + g**m - g.
g*(g + 3)
Let p(z) = z**2 + 15*z + 18. Let r be p(-14). Factor 0*g + 0 + 1/3*g**r + 1/3*g**2 + 2/3*g**3.
g**2*(g + 1)**2/3
Let c be (4 - 2) + -2 + 2. Factor c + 2 - 2*i - 2*i**3 + 8*i.
-2*(i - 2)*(i + 1)**2
Let f = 13 - 9. Factor -1 + n + 2*n**5 + 2*n**4 - 4*n**2 + 5*n - f*n - 4*n**3 + 3.
2*(n - 1)**2*(n + 1)**3
Let s be (-6)/(-135) + (1 - 1). Let k(r) be the first derivative of -1/9*r**2 + 1/18*r**4 + 1 + 2/27*r**3 - s*r**5 + 0*r. Factor k(i).
-2*i*(i - 1)**2*(i + 1)/9
Let u(y) be the third derivative of y**7/525 - y**6/150 + y**5/150 - 5*y**2 + 2*y. Factor u(m).
2*m**2*(m - 1)**2/5
Let q be (38/(-2) - -1)*(-2)/8. Factor 0 + 3/2*z - q*z**2 - 3/2*z**4 + 9/2*z**3.
-3*z*(z - 1)**3/2
Determine g, given that -g**2 + 1/4*g**5 + g**4 + 0 - g + 3/4*g**3 = 0.
-2, -1, 0, 1
Let t(k) = k**2 + 3*k - 4. Let x(w) = -2*w**2 - 2*w + 4. Let d(f) = 4*t(f) + 3*x(f). Factor d(u).
-2*(u - 2)*(u - 1)
Let f(x) be the third derivative of -x**8/168 + x**7/35 - x**6/20 + x**5/30 - 5*x**2. Factor f(h).
-2*h**2*(h - 1)**3
Let v(z) = -2 + 3*z - z**3 - 5*z**2 - 3*z + 3 + 3*z. Let l(x) = -6*x**2 + 3*x. Let a(p) = 2*l(p) - 3*v(p). Solve a(h) = 0 for h.
-1, 1
Let o = 3/11 - -7/55. Factor 16/5*z - 2*z**2 - 8/5 + o*z**3.
2*(z - 2)**2*(z - 1)/5
Let r(j) = 7*j**2 + 3*j + 4. Let w(i) = 13*i**2 + 6*i + 7. Let q(x) = 7*r(x) - 4*w(x). Find u such that q(u) = 0.
-1, 0
Let y be 272/24*(-1)/(-6). Let c = 20/9 - y. Determine h so that -h + 1/3 + h**2 - c*h**3 = 0.
1
Suppose -2*b + 2*l + 16 = 0, 3*l - 2*l - 4 = -2*b. Suppose -b*q = -5 - 11. Factor -4*j - 5*j**5 + 4*j**q + 2*j**5 - 4*j**2 + 4*j**5 + 3*j**3.
j*(j - 1)*(j + 1)*(j + 2)**2
Let s(k) be the second derivative of -k**7/21 - k**6/3 - 9*k**5/10 - 7*k**4/6 - 2*k**3/3 + 3*k. Suppose s(g) = 0. What is g?
-2, -1, 0
Let n be 34/85 - 2/5. Let r(s) be the first derivative of 1/30*s**5 + 1/18*s**3 - 3 - 1/12*s**4 + 0*s + n*s**2. Determine m, given that r(m) = 0.
0, 1
Suppose 14/11*c**4 + 10/11*c**2 + 2/11*c + 0 + 4/11*c**5 + 18/11*c**3 = 0. What is c?
-1, -1/2, 0
Suppose 5*m - 46 = 4. Factor 4*b**4 + m*b**2 - b**4 + 18*b**3 + 17*b**2.
3*b**2*(b + 3)**2
Let o(g) = 2*g**5 + g**4 + 5*g**3 + 9*g**2 - 7*g. Let a(m) = 3*m**5 + m**4 + 7*m**3 + 13*m**2 - 10*m. Let l(s) = -5*a(s) + 7*o(s). Factor l(z).
-z*(z - 1)**3*(z + 1)
Let f(s) = s**2 - s - 1. Let t(q) = 8*q**3 + 14*q**2 + 28*q + 14. Let r(c) = 10*f(c) + t(c). Find i, given that r(i) = 0.
-2, -1/2
Let m(q) = q**2 - 5*q. Let a be m(5). Factor -2/9*w**4 + a*w + 0*w**3 + 0 + 0*w**2.
-2*w**4/9
Let w = 16 - 9. Suppose w*x = 5*x. Factor -1/4*y + x + 1/4*y**2.
y*(y - 1)/4
Let v(q) = q**2 - 7*q - 2. Let p(w) = 6*w + 2. Let t(y) = -3*p(y) - 2*v(y). Factor t(r).
-2*(r + 1)**2
Suppose 3 = 3*g, 0*g + 1 = o - 2*g. Let 2*h**3 + 2*h**2 - 3*h**2 + 2*h**4 - h**2 + o*h - 5*h = 0. What is h?
-1, 0, 1
Let b(t) = 4*t**4 - 16*t**3 - 10*t - 10. Let i = -12 - -22. Let r(w) = w**4 - 5*w**3 - 3*w - 3. Let l(m) = i*r(m) - 3*b(m). Factor l(o).
-2*o**3*(o + 1)
Let c(o) be the second derivative of -o**5/20 + o**4/6 - o**3/6 - 5*o. Solve c(r) = 0.
0, 1
Let l(g) be the second derivative of -2*g**6/45 + 7*g**5/60 - g**4/18 - g**3/18 + 15*g. Factor l(h).
-h*(h - 1)**2*(4*h + 1)/3
Let s = 45 + -40. Let b(o) be the third derivative of 1/24*o**3 - 2*o**2 + 0 + 0*o + 0*o**4 - 1/240*o**s. Factor b(y).
-(y - 1)*(y + 1)/4
Find r, given that 0 - 3*r**3 + 2/5*r**4 + r**5 + 4/5*r + 4/5*r**2 = 0.
-2, -2/5, 0, 1
Factor -940*r + 940*r - 4*r**2.
-4*r**2
Let o be (3/(-18)*4)/(8/(-6)). Factor o*z**4 + 0*z**2 - z + z**3 - 1/2.
(z - 1)*(z + 1)**3/2
Suppose -t = 3*c - 6, 6 = 3*c - t + 3*t. Let c*z**3 + 2*z - 2*z**2 - 6*z + 0*z**3 = 0. Calculate z.
-1, 0, 2
Let n = 122 - 119. Factor -4/3*g**2 + g**n - 4/3*g + 0.
g*(g - 2)*(3*g + 2)/3
Let x(t) be the second derivative of -t**5/90 - t**4/9 - 4*t**3/9 + 5*t**2/2 - 7*t. Let k(w) be the first derivative of x(w). Find z, given that k(z) = 0.
-2
Let o be (4/(-5))/(-6*(-2)/(-20)). Factor o*l - 2/3*l**2 - 2/3.
-2*(l - 1)**2/3
Factor 14*i**3 - 30*i**3 - 6 + 5 - 8*i**2 + 7*i.
-(i + 1)*(4*i - 1)**2
Let p(a) be the first derivative of a**6/24 - a**5/20 - a**4/16 + a**3/12 - 1. Let p(c) = 0. Calculate c.
-1, 0, 1
Let m be -3*1 + (0 - 18). Let a be 1/(-3) - 70/m. Let -q**5 - 10 - 4*q**4 - 5*q**a - 2*q**2 + 10 = 0. Calculate q.
-2, -1, 0
Let x(s) be the second derivative of 0 - 1/40*s**5 + 1/24*s**4 + 1/12*s**3 + 4*s - 1/60*s**6 + 0*s**2. Factor x(a).
-a*(a - 1)*(a + 1)**2/2
Find k, given that 2/5 - 2/5*k**2 - 2/5*k + 2/5*k**3 = 0.
-1, 1
Factor 2/13*t**2 - 8/13*t + 8/13.
2*(t - 2)**2/13
Solve 7/5*k**4 + 2/5*k**3 + 0*k - 1/5*k**2 + 0 + 4/5*k**5 = 0 for k.
-1, 0, 1/4
Let y(q) be the third derivative of 11*q**5/390 - q**4/78 - 21*q**2. Determine d so that y(d) = 0.
0, 2/11
Factor d**4 - 6*d**3 + 3*d**4 - d**4 + 1 - 4 + 6*d.
3*(d - 1)**3*(d + 1)
Let v(r) be the second derivative of -r**7/14 + 9*r**5/20 + r**4/2 - 8*r. Factor v(l).
-3*l**2*(l - 2)*(l + 1)**2
Let v = -56 - -56. Solve 3/2*h**3 + v*h + 0 + 0*h**2 = 0.
0
Let z(g) be the second derivative of -2*g - 2/9*g**2 + 1/9*g**3 - 1/54*g**4 + 0. Factor z(l).
-2*(l - 2)*(l - 1)/9
Let v(o) be the second derivative of -1/6*o**3 - 1/3*o**2 - 1/36*o**4 + 0 + 2*o. Factor v(f).
-(f + 1)*(f + 2)/3
Suppose 0 = 2*t - n - 7 + 6, -2*t + 4 = 2*n. Factor 1/2*k**4 - 3/2*k**3 + 1/2*k**2 - t + 3/2*k.
(k - 2)*(k - 1)**2*(k + 1)/2
Factor 3/4 + 33/4*f + 105/4*f**2 + 75/4*f**3.
3*(f + 1)*(5*f + 1)**2/4
Let m(s) = s**2 - 3*s - 3. Let p be m(4). Let o be 0 + -3*(p + -2). What is y in -2*y**4 + y**4 + 2*y**o + 4*y**2 - 5*y**2 = 0?
0, 1
Let n = -403/9 - -1754/45. Let c = -27/5 - n. Find h, given that 1/5*h**3 + 1/5*h - c*h**2 + 0 = 0.
0, 1
Let c(u) = -18*u - 2. Let h be c(-5). Let p = -37 + h. Determine z, given that 10 - 78*z**2 - 2 + 19*z**3 + p*z**3 = 0.
-2/7, 2/5, 1
Let i = -1175 + 1180. Suppose -7/5*a**4 + 7/