first derivative of 8*m**5/5 - 21*m**4/2 + 14*m**3 - 4*m**2 + 55. Suppose d(b) = 0. Calculate b.
0, 1/4, 1, 4
Let w(p) be the first derivative of 3/8*p**2 - 3/16*p**4 + 1/2*p - 1 - 1/12*p**3 - 1/20*p**5. Factor w(v).
-(v - 1)*(v + 1)**2*(v + 2)/4
Let f(s) be the third derivative of s**6/270 - s**5/15 + s**4/2 - 2*s**3 - 95*s**2. Find t, given that f(t) = 0.
3
Let l be 4*2 + 45/15 + 1*-8. Suppose -1 = 3*z - 7. Solve -1/3 - 8/3*h**z + 5/3*h + 4/3*h**l = 0.
1/2, 1
Let g(o) = 15*o**3 - 50*o**2 + 55*o + 5. Let h(n) = 2*n**3 + n**2 + n + 1. Let x(w) = -g(w) + 5*h(w). Find a, given that x(a) = 0.
0, 1, 10
Let s(w) be the first derivative of -2*w**5/15 + w**4/3 - 2*w**3/9 + 31. Factor s(k).
-2*k**2*(k - 1)**2/3
Let o(f) be the first derivative of 2/21*f**3 + 9 - 8/7*f + 3/7*f**2. Let o(d) = 0. Calculate d.
-4, 1
Let g(x) = -6*x + 2. Let v be g(-1). What is l in 15*l**2 + 3*l**3 - 91*l**4 + 7*l - 5*l**5 - v*l**3 + 76*l**4 + 3*l = 0?
-2, -1, 0, 1
Suppose -9/2*i**2 + 0*i + 1/4*i**3 + 0 = 0. Calculate i.
0, 18
Let r(l) be the first derivative of 1 + 0*l**2 - 5*l + 0*l**6 - 1/21*l**7 - 1/3*l**3 + 1/5*l**5 + 0*l**4. Let j(o) be the first derivative of r(o). Factor j(i).
-2*i*(i - 1)**2*(i + 1)**2
Let s(m) = -7*m**2 - 13*m - 12. Let d(p) = 6*p**2 + 8*p + 15. Let r(o) = o - 1. Let c(y) = -d(y) - 4*r(y). Let t(u) = -6*c(u) + 5*s(u). Let t(l) = 0. What is l?
-6, -1
Suppose -3*n - 58 = -5*y, 7 = 2*n - 4*y + 49. Let j = -8 - n. Factor 0*d**5 - 13*d**4 - 4*d**j + 4*d**5 - 4*d**2 + 17*d**4.
4*d**2*(d - 1)*(d + 1)**2
Let l(o) be the third derivative of 0*o + 1/12*o**4 + 0 - 1/105*o**7 - 1/60*o**6 + 19*o**2 + 0*o**3 + 1/30*o**5. Factor l(x).
-2*x*(x - 1)*(x + 1)**2
Let b be (-12 + 10)*48/(-21). Factor 64/7*a**3 + 0*a**2 + 0*a + 4/7*a**5 + 0 + b*a**4.
4*a**3*(a + 4)**2/7
Let s(n) be the first derivative of -n**6/14 - 12*n**5/35 - 9*n**4/14 - 4*n**3/7 - 3*n**2/14 - 169. Find m such that s(m) = 0.
-1, 0
Determine o, given that -8*o**2 + 0*o**4 + 2/5*o**5 - 6*o - 8/5 - 4*o**3 = 0.
-1, 4
Let j(b) = b**3 - 45*b**2 - b + 45. Let c be j(45). Let o(h) be the second derivative of -1/12*h**3 - 3*h + c - 1/8*h**2 - 1/48*h**4. Factor o(u).
-(u + 1)**2/4
Let u(x) = -11*x**3 - 20*x**2 - 37*x - 10. Let y(i) = i**3 + 2*i. Let p(r) = -u(r) - 6*y(r). Suppose p(t) = 0. Calculate t.
-2, -1
Let z(a) be the third derivative of a**5/30 + 8*a**4/3 + 256*a**3/3 - 257*a**2. Factor z(d).
2*(d + 16)**2
Let 34*j - 40*j**2 + 56 + 4*j**3 + 15*j + 43*j + 80*j**2 = 0. What is j?
-7, -2, -1
Let k(c) be the second derivative of -c**5/25 + 2*c**4/5 - 2*c**3/5 - 4*c**2 - 79*c. Factor k(w).
-4*(w - 5)*(w - 2)*(w + 1)/5
Find m such that 39/2*m - 3*m**3 - 1/2*m**5 + 9 + 10*m**2 - 3*m**4 = 0.
-3, -1, 2
Let n(x) be the third derivative of x**7/42 + 25*x**6/24 - 13*x**5/6 - 60*x**2. Factor n(s).
5*s**2*(s - 1)*(s + 26)
Let g = 29977/5 - 5995. Let -1/5 + 2/5*y**3 + 1/5*y**5 + 3/5*y**4 - g*y**2 - 3/5*y = 0. Calculate y.
-1, 1
Let t be (-1)/(-2) + 3536/4896. Let -4/9 + 4/3*w - t*w**2 + 1/9*w**3 - 1/9*w**5 + 1/3*w**4 = 0. Calculate w.
-2, 1, 2
Let t(k) = 7*k**2 + 36*k + 8. Let r(v) = -2*v**2 - 9*v - 2. Let l = 23 - 5. Let c = 2 - -2. Let h(z) = c*t(z) + l*r(z). Factor h(o).
-2*(o + 2)*(4*o + 1)
Suppose -176*g = -175*g - 4. Let k(m) be the second derivative of 3/40*m**5 + 9*m + 0*m**2 + 0*m**3 + 1/40*m**6 + 0 + 1/16*m**g. Factor k(n).
3*n**2*(n + 1)**2/4
Suppose -724*a = -734*a. Let y(s) be the second derivative of a*s**2 + 0 + 1/6*s**4 - 2*s + 1/6*s**3 - 3/20*s**5. Factor y(o).
-o*(o - 1)*(3*o + 1)
Factor 0*h - 92*h**3 + h + h - h**2 + 91*h**3.
-h*(h - 1)*(h + 2)
Let g be 48/72 - 14/(-6). Factor h**4 - 248 + 8*h**2 + 4*h**g - 6*h - 9*h**4 + 2*h**5 + 248.
2*h*(h - 3)*(h - 1)**2*(h + 1)
Factor 0 - 4/5*v**2 + 12/5*v.
-4*v*(v - 3)/5
Let w(j) be the second derivative of 2*j**6/75 + j**5/25 - 2*j**4/15 - j + 111. Factor w(p).
4*p**2*(p - 1)*(p + 2)/5
Let v(f) be the first derivative of -2*f**5/15 + 5*f**4/2 - 98*f**3/9 + 19*f**2 - 44*f/3 + 414. Determine h so that v(h) = 0.
1, 2, 11
Suppose -5*s = -7*s + 4. Let v(z) = -2*z**2 - 10 + 6 - z**2 + z**s. Let p(i) = 4*i**2 + 9. Let c(u) = 4*p(u) + 9*v(u). Factor c(h).
-2*h**2
Let i be 1 - (-3 + -81 + -4). Factor d - d**4 + 0*d**2 - 44*d**3 + i*d**3 - 46*d**3 + d**2.
-d*(d - 1)*(d + 1)**2
Let b = 22 - 17. Factor 9*z**4 + 2*z**5 - 2*z**b + 4*z**3 + 4*z**5 - 17*z**4.
4*z**3*(z - 1)**2
Let p be (-4)/(((-2)/(-6))/((-2)/12)). Let r be (48/120)/(p/10). What is d in -1/2*d**r + d - 1/2 = 0?
1
Suppose -5*u = -3*w + 8, 1 = 4*w + 5*u + 2. Let r(o) = o. Let l(a) = 9*a**3 - 15*a**2 - 11*a + 12. Let q(s) = w*r(s) - l(s). Factor q(d).
-3*(d - 2)*(d + 1)*(3*d - 2)
Let h = 2 + -2. Determine k so that 6*k**2 - 26*k**3 - 2*k + h*k**2 + 22*k**3 = 0.
0, 1/2, 1
Let -4*f**5 + 13*f**4 - 10*f**3 - 3*f**5 - f + 2*f**5 - 20*f**2 + 7*f**4 + 16*f = 0. What is f?
-1, 0, 1, 3
Factor 11*c - 16/7*c**2 + 1/7*c**3 - 14.
(c - 7)**2*(c - 2)/7
Let b(v) = v - 9. Let n be b(9). Determine q, given that -4*q**2 + 3*q**2 + q + q + n*q**2 = 0.
0, 2
Suppose -2*n = -6*n - 144. Let i be 202/18 + 8/n. Factor 6*g**2 + 2*g**4 + 0*g + i*g**3 - 5*g**3 + 2*g.
2*g*(g + 1)**3
Suppose -7*g + 10 = -5*g. Suppose -g*m = -10*m + 10. Factor 9/2 + 6*u + 3/2*u**m.
3*(u + 1)*(u + 3)/2
Let b be 150/54 + 615/(-2214)*(-8)/10. Solve t - t**4 - 1/3*t**5 + 1/3 - 2/3*t**b + 2/3*t**2 = 0 for t.
-1, 1
Let r(p) be the third derivative of p**7/1680 - 19*p**6/960 + p**5/6 + 25*p**4/48 - 185*p**2. Find x, given that r(x) = 0.
-1, 0, 10
Let d(z) = 662*z**2 - 4574*z + 7744. Let j(a) = -655*a**2 + 4573*a - 7744. Let f(u) = 3*d(u) + 2*j(u). Factor f(c).
4*(13*c - 44)**2
Factor 0 - 4/5*r**3 + 16*r - 32/5*r**2.
-4*r*(r - 2)*(r + 10)/5
Let t(q) be the third derivative of 13/12*q**5 + 1/42*q**7 - 1/4*q**6 + 0*q + 10/3*q**3 - 21*q**2 - 5/2*q**4 + 0. Factor t(z).
5*(z - 2)**2*(z - 1)**2
Let t be ((-9)/(-36))/(1/8). Find r, given that -80 - 35*r**t + 28*r + 122*r + 139*r + r = 0.
2/7, 8
Let a(o) = -9*o - 18. Let c be a(-2). Factor 2/13 + c*b - 2/13*b**2.
-2*(b - 1)*(b + 1)/13
Solve 1/5*o**4 + 0 + 0*o**2 - 108/5*o + 9/5*o**3 = 0.
-6, 0, 3
Let x be (-27)/(243/(-24))*3 + 58/(-9). Factor 0*c + 0 + x*c**3 - 8/9*c**2 - 1/3*c**4.
-c**2*(c - 4)*(3*c - 2)/9
Let p(w) be the first derivative of -w**6/48 + w**5/40 + w**4/4 - w**3/2 - 284. Factor p(s).
-s**2*(s - 2)**2*(s + 3)/8
Let g = 294 - 294. Let p(b) be the second derivative of -3/20*b**5 + 1/10*b**6 + 0*b**4 + 0*b**2 + g*b**3 + 0 - 4*b. Suppose p(c) = 0. What is c?
0, 1
Let d(c) be the first derivative of c**4/20 - 5*c**3 - 38*c**2/5 - 298. Let d(j) = 0. Calculate j.
-1, 0, 76
Factor -8 + 2/3*x**3 + 10/3*x**2 - 16/3*x.
2*(x - 2)*(x + 1)*(x + 6)/3
Let z(h) be the first derivative of h**6/72 - h**5/12 + 13*h**3/3 + 7. Let u(k) be the third derivative of z(k). Let u(c) = 0. Calculate c.
0, 2
Solve -1/2*h**4 - 1/2*h**5 + 5/2*h**2 + 9/2*h**3 - 8*h - 6 = 0.
-3, -1, 2
Suppose -29*h + 74 = 8*h. Let k(z) be the first derivative of z**3 - 3/4*z**4 - 3*z + 4 + 3/2*z**h. Find r, given that k(r) = 0.
-1, 1
Let u(v) = -4*v**3 + 11*v**2 + 21*v + 11. Let o(a) = 21*a + 10*a**2 + 7*a**3 + 10 - 3*a**3 - 6*a**3 - 3*a**3. Let j(z) = -5*o(z) + 4*u(z). Factor j(w).
3*(w - 2)*(w + 1)*(3*w + 1)
Let k(u) be the third derivative of u**6/240 - 589*u**5/360 + 1813*u**4/9 - 2401*u**3/9 + 99*u**2 - u. Factor k(b).
(b - 98)**2*(3*b - 1)/6
Let x(z) be the second derivative of z**4/12 + z**3/3 - 3*z**2/2 + 186*z. Factor x(g).
(g - 1)*(g + 3)
Factor -8/7 - 16/7*a**2 + 4/7*a**3 + 20/7*a.
4*(a - 2)*(a - 1)**2/7
Let v = 27 + -51/2. Find t such that 0 + v*t**5 + 0*t**2 - 3/2*t**4 - 3*t**3 + 0*t = 0.
-1, 0, 2
Let s(p) be the first derivative of 0*p**2 - 1/32*p**4 + 0*p - 20 + 1/48*p**6 - 1/12*p**3 + 1/20*p**5. Factor s(w).
w**2*(w - 1)*(w + 1)*(w + 2)/8
Let t(a) be the first derivative of -a**6/60 - a**5/5 - 7*a**4/8 - 3*a**3/2 + 24*a - 13. Let u(m) be the first derivative of t(m). Factor u(b).
-b*(b + 2)*(b + 3)**2/2
Let m(z) be the second derivative of z**6/150 + 9*z**5/100 + 29*z**4/60 + 13*z**3/10 + 9*z**2/5 - 233*z. Factor m(u).
(u + 1)*(u + 2)*(u + 3)**2/5
Let b(m) be the second derivative of -m**4/12 - 4*m**3 - 72*m**2 + 4*m. Factor b(t).
-(t + 12)**2
Let x(m) be the second derivative of 1/2*m**2 - 8 - 1/48*m**4 - 3*m + 1/160*m**5 - 1/12*m**3. F