erivative of -2*n**2 + 2/15*n**5 + 0*n + 0*n**3 + 0 + 0*n**4 + 1/30*n**6. Factor s(w).
4*w**2*(w + 2)
Factor 20*o**2 + 70*o**4 - 87*o**3 - 84*o**4 - 7*o**3 + 120*o**2 - 32*o.
-2*o*(o - 1)*(o + 8)*(7*o - 2)
Let n be 32/272 + 5136/1428. Factor 12/7*x**4 + 0 + 8/7*x + 24/7*x**2 + 2/7*x**5 + n*x**3.
2*x*(x + 1)**2*(x + 2)**2/7
Let t = 59 + -48. Determine m, given that -t*m + 6 + 25*m - 11*m - 3*m**2 = 0.
-1, 2
Let d(a) be the second derivative of a**6/6 - 33*a**5/2 + 6065*a**4/12 - 3410*a**3 + 9610*a**2 + 348*a. Solve d(x) = 0.
2, 31
Let c be (-21)/(-6) - 3/6. What is q in c*q**4 - 5*q**4 + 18*q**2 - 16*q**2 + 4*q - 4*q**3 = 0?
-2, -1, 0, 1
Factor -765*o**2 - 772*o**2 - 88 + 52*o + 1533*o**2.
-4*(o - 11)*(o - 2)
Let o be ((-99)/170)/(165/(-275)) - (-2)/(-4). Determine p, given that -2/17*p**4 + 0 - o*p**2 + 0*p + 8/17*p**3 = 0.
0, 2
Let z(y) be the first derivative of -4/3*y**3 - 13/2*y**2 + 8 - 6*y + 3/4*y**4. Factor z(h).
(h - 3)*(h + 1)*(3*h + 2)
Let s(g) be the second derivative of -g**7/21 + 3*g**6/5 - 29*g**5/10 + 43*g**4/6 - 10*g**3 + 8*g**2 + 290*g + 1. Factor s(q).
-2*(q - 4)*(q - 2)*(q - 1)**3
Let q(z) be the first derivative of 0*z**2 + 0*z + 4 - 10*z**4 - 3*z**5 - 20/3*z**3. Factor q(y).
-5*y**2*(y + 2)*(3*y + 2)
Let x(v) be the third derivative of -v**7/70 + v**6/8 + 8*v**5/5 + 9*v**4/2 - 9*v**2 - v. Let x(w) = 0. Calculate w.
-2, 0, 9
Suppose 7*g - 5*g + 16 = -4*m, 3*m + 15 = 0. Suppose p**4 - 1/3*p**3 - p**g - 1/3*p + 2/3*p**5 + 0 = 0. Calculate p.
-1, -1/2, 0, 1
Let g(w) be the second derivative of 0 - 1/66*w**4 - 36/11*w**2 - 14*w + 4/11*w**3. Let g(h) = 0. Calculate h.
6
Let d = 531 + -531. Let f(o) be the first derivative of d*o - 3 + 0*o**2 - 2/21*o**3. Factor f(b).
-2*b**2/7
Let z be (-258)/(-430)*4/6. Solve -8/5*x**2 + 0*x + 0*x**3 + 6/5*x**4 + 0 - z*x**5 = 0.
-1, 0, 2
Let a be (0 + 0)/(1 + 0). Let r(u) be the third derivative of 0 + a*u + 1/3*u**3 - 1/30*u**5 + 0*u**4 - 7*u**2. Factor r(p).
-2*(p - 1)*(p + 1)
Let t(r) be the first derivative of 2*r**3/3 + 10*r**2 + 18*r + 69. Suppose t(y) = 0. Calculate y.
-9, -1
Solve 312 - a**2 + 101*a + 24*a - 82 + 9*a**2 - 3*a**2 = 0 for a.
-23, -2
Let d = 8 - 6. Suppose 2*l - 14 = d. Let -c**2 + 4*c + 5*c**2 - l*c**2 = 0. Calculate c.
0, 1
Suppose -3*l = i - 5, -5*l - 13 + 20 = 3*i. Find s such that 8/9 - 2/3*s - 2/9*s**l = 0.
-4, 1
Let -1/2*p + 5/4*p**4 + 9/4*p**3 + 0 - 5/4*p**2 - 7/4*p**5 = 0. What is p?
-1, -2/7, 0, 1
Let j(u) be the first derivative of -2*u**5/15 + 2*u**4/3 + 2*u**3/9 - 4*u**2/3 - 56. Solve j(p) = 0 for p.
-1, 0, 1, 4
Let o(q) be the first derivative of -q**4/28 + 6*q**3/7 - 54*q**2/7 + 26*q - 23. Let u(b) be the first derivative of o(b). Factor u(r).
-3*(r - 6)**2/7
Let i(n) = -166*n**2 - 2*n - 6. Let a(d) = -165*d**2 - d - 5. Let x(y) = 6*a(y) - 5*i(y). Solve x(j) = 0.
0, 1/40
Let h = 66 + -64. Let x(w) be the second derivative of -7/3*w**3 + 4*w - 2*w**h - 5/6*w**4 + 0. Factor x(g).
-2*(g + 1)*(5*g + 2)
Factor -1/3*v**4 - 17/3*v**2 + 30 - 11*v + 3*v**3.
-(v - 5)*(v - 3)**2*(v + 2)/3
Let j(b) = 5*b**2 - 258*b + 3382. Let o(h) = -5*h**2 + 257*h - 3383. Let z(g) = -3*j(g) - 2*o(g). Factor z(u).
-5*(u - 26)**2
Suppose -1/3*x**2 + 0 + 1/3*x = 0. Calculate x.
0, 1
Suppose 5*q - d - 2*d - 143 = 0, -5*q + 5*d + 145 = 0. Suppose 0 = 5*l - l - q. Factor l*s + 5*s + 9 + 3*s**2 + 0.
3*(s + 1)*(s + 3)
Let n(a) = 6*a**3 - 6*a**2. Let t(d) = -d**2 - d + 1. Let c be t(2). Let i(j) = -3*j**2 - 12*j**3 - 4*j**2 + 19*j**3. Let s(x) = c*n(x) + 4*i(x). Factor s(o).
-2*o**2*(o - 1)
Let c(o) be the second derivative of -8*o**6/15 + 41*o**5/5 - 42*o**4 + 218*o**3/3 - 40*o**2 - 110*o - 2. Find b, given that c(b) = 0.
1/4, 1, 4, 5
Factor -45/2*o**2 + 24*o - 3/2*o**3 + 0.
-3*o*(o - 1)*(o + 16)/2
Let r(o) be the second derivative of -5/12*o**4 + 0 + 5/3*o**3 + 10*o + 0*o**2. Determine b so that r(b) = 0.
0, 2
Let x(y) = y + 24. Let l be x(-20). Determine s so that -7*s**2 + 16*s**2 - 32*s**4 + 22*s**4 - 21*s**3 - 3*s**5 + 25*s**l = 0.
0, 1, 3
Let u = 13 - 11. Suppose 6 - 14 = -u*q. Suppose -g + 5*g**2 - g - q*g**2 + g**2 = 0. Calculate g.
0, 1
Let s(o) be the third derivative of 4/15*o**3 + 4*o**2 + 4/15*o**4 + 7/150*o**5 + 0 + 0*o. Solve s(z) = 0 for z.
-2, -2/7
Let c be ((-12)/10)/((-27)/360). Suppose c = 2*i + 2*i. Let -m**3 + m + 62 + m**i - m**2 - 62 = 0. Calculate m.
-1, 0, 1
Let o(v) = -v + 20. Let k be o(18). Suppose k*s = s + 2. Factor 0*j - 1/4*j**4 + 1/2*j**s + 1/4*j**3 + 0.
-j**2*(j - 2)*(j + 1)/4
Let k(z) be the first derivative of z**4/18 + 16*z**3/9 + 55*z**2/3 + 484*z/9 - 165. Solve k(t) = 0.
-11, -2
Suppose -4*l + 13 = -0*p - p, p - 2 = l. Factor p*i - 3*i**2 + 5*i**2 + 2*i**2 - 11*i.
4*i*(i - 1)
Let z(l) be the third derivative of -l**8/25200 - 7*l**5/15 + 6*l**2. Let p(w) be the third derivative of z(w). Factor p(y).
-4*y**2/5
Let u be (-13)/(-52) + (234/(-8))/(-3). Let k be u/4 + -5 + 4. Determine c, given that k + 3/4*c - 3/4*c**2 = 0.
-1, 2
Suppose -3*o = 143 - 149. Let d(h) be the second derivative of -2/25*h**5 + 4*h - 17/30*h**4 + 0 - 4/3*h**3 - 4/5*h**o. Find s such that d(s) = 0.
-2, -1/4
Let n(l) be the second derivative of -l**7/840 + l**6/288 - l**5/480 - l**3/2 - 9*l. Let z(t) be the second derivative of n(t). Factor z(q).
-q*(q - 1)*(4*q - 1)/4
Let x(j) be the second derivative of j**5/8 - 115*j**4/24 + 50*j**3 + 180*j**2 + 169*j. Factor x(q).
5*(q - 12)**2*(q + 1)/2
Let t(g) be the first derivative of 3/8*g**4 + 6 + 3/2*g**3 + 9/4*g**2 + 3/2*g. Factor t(k).
3*(k + 1)**3/2
Let r be (6 + 0 + 2)*(-3)/4. Let z be (5 - 10)*1*r/15. What is c in -2/5*c**z + 8/5 + 0*c = 0?
-2, 2
Let f(y) be the first derivative of y**4/120 - y**3/20 - y**2/2 + 26*y + 11. Let z(m) be the first derivative of f(m). Let z(n) = 0. What is n?
-2, 5
Factor 1/4*d - 1/4*d**3 + 3/4*d**2 - 3/4.
-(d - 3)*(d - 1)*(d + 1)/4
Suppose r = -3*y, -3*r + 4*y = -2*r - 7. Let j be (8/(-45))/((-4)/30*r). Solve -j*h**2 + 14/9*h - 2/9*h**3 - 8/9 = 0.
-4, 1
Suppose 4*o - i - 51 = 0, -2*o - 2*i + 30 = o. Let u be o/48 - 22/(-8). Factor 2/7*x**5 - 8/7 - 2/7*x**2 - 10/7*x**u + 16/7*x + 2/7*x**4.
2*(x - 1)**3*(x + 2)**2/7
Let f(n) = -n**2 + n + 1. Suppose 0 = -5*y - 61 + 11. Let p = -11 - y. Let s(x) = -x**3 - 8*x**2 - 28*x - 28. Let j(r) = p*f(r) - s(r). Factor j(z).
(z + 3)**3
Let n(f) = f**2 + 3*f - 338. Let y be n(-20). Factor 0 + 1/4*s**y + 5/4*s.
s*(s + 5)/4
Suppose 5*w + 266 = 4*s, 0 = -3*w + s + 2*s - 162. Let g be (1/(-5))/(5/w). Determine u, given that 2*u - g + 3*u + u**2 + u**2 - u**3 - 4*u = 0.
-1, 1, 2
Suppose -7*l - l = -4*l + l. Factor 1/8*b**2 - 1/4*b + l.
b*(b - 2)/8
Let i(s) = -s**5 - 5*s**4 + 3*s**3 - s**2 + 4*s + 3. Let g(u) = -u**5 - 4*u**4 + 2*u**3 + 3*u + 2. Let t(r) = -3*g(r) + 2*i(r). Let t(y) = 0. What is y?
-1, 0, 1
Suppose 13*q - 14 - 116 = 0. Suppose 6*n + q*n = 5*n. Factor 0*g + 0*g**2 + n + 4/5*g**5 + 8/5*g**4 + 4/5*g**3.
4*g**3*(g + 1)**2/5
Suppose 4*m + 13 = 49. Let h be (64/108)/(6/m). Determine a, given that h + 2/9*a**3 + 10/9*a**2 + 16/9*a = 0.
-2, -1
Let n(v) be the first derivative of -1/15*v**4 - 5*v + 1/10*v**5 + 0*v**2 + 4 + 0*v**3. Let l(z) be the first derivative of n(z). Solve l(k) = 0 for k.
0, 2/5
Let -37/2*t**3 - 1 + 39/4*t**2 + 35/4*t**4 + t = 0. Calculate t.
-2/7, 2/5, 1
Find b such that -1 + 29/6*b - 3/2*b**2 = 0.
2/9, 3
Let g = 1964 - 1964. Factor g + 2/7*t - 1/7*t**2.
-t*(t - 2)/7
Let a(g) = 21*g + 23. Let f be a(-1). Find u such that -1/5*u**f + 2/5 + 1/5*u = 0.
-1, 2
Suppose 0*v + 12 = 2*v. Factor -11 + 10*q**2 + 0 - 5*q**4 + v.
-5*(q - 1)**2*(q + 1)**2
Let z(d) be the third derivative of d**7/105 - d**5/15 + d**3/3 - 4*d**2 - 2*d. Factor z(q).
2*(q - 1)**2*(q + 1)**2
Factor 36/13*j - 2/13*j**2 - 162/13.
-2*(j - 9)**2/13
Factor -64/5 + 96/5*h - 32/5*h**2 - 2/5*h**5 + 12/5*h**4 - 16/5*h**3.
-2*(h - 2)**4*(h + 2)/5
Let y(b) be the first derivative of -10/3*b + 35 - 5/6*b**2 + 5/9*b**3. Factor y(l).
5*(l - 2)*(l + 1)/3
Let g(r) be the second derivative of r**4/18 - 313*r**3/27 + 104*r**2/9 + 428*r. Find y such that g(y) = 0.
1/3, 104
Let r be 0*(-3)/(-9) + (67 - 65). What is b in 0*b - 2/7*b**r + 0 + 2/7*b**3 = 0?
0, 1
Let r be -1*(-10 + 5) + -1. Let k(v) be the second derivative of -1/30*v**r + 0*v**2 + 2/15*v**3 - 2*v + 0. Factor k(b).
-2*b*(b - 2)/5
De