ond derivative of 1/60*c**4 + 1/10*c**3 + 10*c + 1/5*c**2 + 0. Factor w(a).
(a + 1)*(a + 2)/5
Let o = -9 - -13. Suppose 0 = j + o*n + 9, -3*j = -n + 2 - 14. Factor h + h + 14*h**2 - h**5 - 22*h**2 - 8*h**4 + 12*h**j + 3*h**5.
2*h*(h - 1)**4
Solve 17*g**4 - 5*g**2 - 3*g**2 - 13*g**4 - 10*g**3 + 9*g**4 - 15*g**4 = 0.
-4, -1, 0
Let w(c) be the third derivative of -c**8/13440 - 11*c**7/1680 - 121*c**6/480 - 37*c**5/60 - 33*c**2. Let p(i) be the third derivative of w(i). Factor p(s).
-3*(s + 11)**2/2
Let d(f) be the first derivative of -f**7/840 + f**6/80 - 13*f**5/240 + f**4/8 - f**3/6 + 2*f**2 + 11. Let q(r) be the second derivative of d(r). Factor q(m).
-(m - 2)**2*(m - 1)**2/4
Let n = -9 - -15. Let u(q) = -q. Let y(v) = -28*v**2 - 42*v - 53*v**2 + 2 - 6. Let w(g) = n*u(g) - y(g). Suppose w(t) = 0. Calculate t.
-2/9
Find i, given that -2/13 - 4/13*i**3 + 0*i**2 + 2/13*i**4 + 4/13*i = 0.
-1, 1
Factor -2/3*g**2 + 40 - 56/3*g.
-2*(g - 2)*(g + 30)/3
Let b(r) be the first derivative of 35*r**4/16 - 5*r**3/6 - 35*r**2/8 + 5*r/2 - 57. Factor b(g).
5*(g - 1)*(g + 1)*(7*g - 2)/4
Find h such that 2/3*h**4 - 14/3*h - 6*h**3 + 0 + 10*h**2 = 0.
0, 1, 7
Determine c, given that -1/2*c**3 + 0 - 5/6*c + 4/3*c**2 = 0.
0, 1, 5/3
Let y(o) be the first derivative of 2*o**3/9 - 220*o**2/3 + 24200*o/3 + 289. Find d such that y(d) = 0.
110
Let o(l) = l**2 + l. Let v = 10 + -4. Let b(f) = 2*f**2 - f**2 + 4*f + 3*f**2 + 0*f**2. Let g(i) = v*o(i) - b(i). Factor g(c).
2*c*(c + 1)
Suppose 2*p - c = 4 - 7, p + 4*c + 15 = 0. Let n be p + -1 + 3 + 6. Find r, given that -3*r**n + r**5 + 8*r**2 + 6*r**3 - 2*r**4 - 2*r**4 - 8*r = 0.
-2, 0, 1
Let y be (1 - (-10)/(-6))*(-30)/(-4). Let o(t) = -2*t**3 - 11*t**2 - 2*t + 18. Let p be o(y). Suppose -3/2*h**p + 0*h**2 + 0 + 3/2*h**4 + 0*h = 0. What is h?
0, 1
Let o(x) be the first derivative of -3*x**5/5 + 9*x**4 + x**3 - 18*x**2 - 487. Factor o(g).
-3*g*(g - 12)*(g - 1)*(g + 1)
Let r(q) be the second derivative of q**7/35 - q**6/25 - 21*q**5/50 + 13*q**4/10 - 6*q**3/5 + 3*q - 38. Suppose r(w) = 0. What is w?
-3, 0, 1, 2
Let 99/2*t**2 + 49*t + 1/4*t**4 + 17*t**3 + 65/4 = 0. Calculate t.
-65, -1
Let l(m) = 3*m**3. Let f = -1 + 2. Let d be l(f). Factor 2*t - 4 - 2*t**d + 0*t + t + 3*t.
-2*(t - 1)**2*(t + 2)
Let j(w) be the third derivative of -2*w**2 + 0*w**3 + 1/112*w**8 + 0*w**4 + 0*w**7 + 0 - 1/10*w**5 - 3/40*w**6 + 0*w. Suppose j(d) = 0. What is d?
-1, 0, 2
Let p(w) be the second derivative of w**4/3 + 86*w**3/3 - 88*w**2 - 346*w. Factor p(j).
4*(j - 1)*(j + 44)
Let t(n) = -n - 19. Let l be t(-12). Let f be l + 3 - (-1 - (-13)/(-4)). Factor -f*a**2 + 0*a + 1/4.
-(a - 1)*(a + 1)/4
Let z be (7106/66)/17 - ((7 - 1) + -1). Factor 20/3*g**4 + z*g**2 + 8/3*g - 32/3*g**3 + 0.
4*g*(g - 1)**2*(5*g + 2)/3
Suppose 0 = 34*s - 200 + 98. Let v(a) be the first derivative of -4*a - 1/12*a**s + a**2 + 5. Factor v(f).
-(f - 4)**2/4
Let k(l) be the first derivative of -2*l**3/3 - l**2 + 24*l - 236. Find c such that k(c) = 0.
-4, 3
Let l(m) be the second derivative of -m**5/210 + m**4/28 - 2*m**3/21 - m**2/2 + 8*m. Let k(z) be the first derivative of l(z). Suppose k(h) = 0. What is h?
1, 2
Suppose -p = -3*h - 59, p - 3*h + 189 = 4*p. Let c be (-53)/(-38) - p/(-589). Find l, given that 12 + 18*l + 9*l**2 + c*l**3 = 0.
-2
Factor 0 - 3/4*i**2 + 15/4*i.
-3*i*(i - 5)/4
Let z(g) be the first derivative of -g**7/5880 + g**6/840 + g**5/210 - 6*g**3 - 4. Let q(j) be the third derivative of z(j). Factor q(c).
-c*(c - 4)*(c + 1)/7
Let g(u) = -2*u**2 + 79*u + 42. Let k be g(40). Suppose 49/3*l**3 - 8/3 - 70/3*l**k - 52/3*l = 0. What is l?
-2/7, 2
Let i be -1 + -1 + 13/((-208)/(-80)). Let l(z) be the second derivative of -8*z + 0 - 64/21*z**4 - 2/7*z**2 + 32/21*z**i. Factor l(y).
-4*(8*y - 1)**2/7
Let z(x) be the second derivative of x**4/12 + 22*x**3/3 - 230*x. Factor z(l).
l*(l + 44)
Find j such that -675/7*j**2 - 15/7*j**4 - 42*j**3 + 204/7 - 192/7*j = 0.
-17, -2, -1, 2/5
Let d(u) = 19*u**2 - 34*u - 3. Let m(t) = 20*t**2 - 36*t - 4. Let f(z) = -4*d(z) + 5*m(z). Solve f(h) = 0 for h.
-1/6, 2
Factor -40/11*h - 42/11 + 2/11*h**2.
2*(h - 21)*(h + 1)/11
Let d(b) be the second derivative of b**7/168 + b**6/80 - b**5/40 - b**4/32 + b**3/24 - 89*b. Solve d(q) = 0.
-2, -1, 0, 1/2, 1
Find r such that 0 - 1/5*r**3 + 3/5*r**2 + 0*r = 0.
0, 3
Suppose -f = -0*f + 2. Let p be (-1)/f + (-3)/(-2). Find o, given that 32*o**5 + 80*o**4 - 3 + 62*o**3 + 4*o**p - 28*o**3 + 3 = 0.
-2, -1/4, 0
Solve -1 - z - 1/4*z**2 = 0.
-2
Let k = 1370/9 + -152. Let x(a) be the first derivative of 4 - k*a + 2/27*a**3 - 1/18*a**4 + 1/9*a**2. Factor x(u).
-2*(u - 1)**2*(u + 1)/9
Factor -195/4 - 297/2*k**2 - 51*k**3 - 3/4*k**4 - 147*k.
-3*(k + 1)**3*(k + 65)/4
Let c(i) be the first derivative of 0*i**2 + 0*i + 1 - 2*i**3 - 2/5*i**5 - 2*i**4. Suppose c(j) = 0. What is j?
-3, -1, 0
Let f(r) be the third derivative of -r**5/48 - r**4/24 + r**3/24 + 63*r**2 - r. Factor f(v).
-(v + 1)*(5*v - 1)/4
Let h(f) be the first derivative of f**4/5 + 52*f**3/15 - 58*f**2/5 + 12*f + 78. Factor h(m).
4*(m - 1)**2*(m + 15)/5
Let h be (6/(-5))/((-3)/10). Solve -4*v**4 + 3*v - 3*v**5 - v**h - v**4 + 6*v**2 = 0.
-1, 0, 1
Suppose h = -3*g + 5*g, 4 = h + 2*g. What is v in 8/7*v + 2/7*v**h + 8/7 = 0?
-2
Let g(f) be the third derivative of f**8/70560 - f**7/4410 + 17*f**5/60 + 19*f**2. Let o(t) be the third derivative of g(t). Factor o(k).
2*k*(k - 4)/7
Suppose -5*v = -4*v + 3*v - 18*v. Suppose 15/8*y**4 + 9/2*y**3 + v*y + 0 + 3/2*y**2 = 0. Calculate y.
-2, -2/5, 0
Let u(y) = -6*y + 3. Let t be u(13). Let o be -3 - (t/10 - -3). Find g, given that 15/8*g + 3*g**2 + o*g**3 + 3/8 = 0.
-1, -1/2
Let f(n) = -2*n**2 + 12*n + 6. Let y be f(6). Determine b so that 8*b + 7*b - y - 5*b**3 + 1 - 5 = 0.
-2, 1
Let b(v) be the second derivative of -1/21*v**4 - 2/7*v**3 + 0 + 2/105*v**6 + 3/35*v**5 + 0*v**2 + 10*v. Factor b(l).
4*l*(l - 1)*(l + 1)*(l + 3)/7
Let u(y) = 85*y**4 - 1190*y**3 + 5830*y**2 - 11865*y + 8500. Let g(o) = 5*o**4 - 70*o**3 + 343*o**2 - 698*o + 500. Let x(f) = 35*g(f) - 2*u(f). Factor x(z).
5*(z - 5)**2*(z - 2)**2
Let z(x) be the first derivative of x**6/30 + x**5/15 - 5*x**2 - 12. Let a(k) be the second derivative of z(k). Solve a(w) = 0.
-1, 0
Factor 68 - 32*y - 32*y + 10*y + 4*y**2 - 18*y.
4*(y - 17)*(y - 1)
Let r(b) be the second derivative of b**9/25200 + b**8/11200 - 19*b**4/6 - 18*b. Let y(x) be the third derivative of r(x). Factor y(a).
3*a**3*(a + 1)/5
Let n(o) = -2*o**3 + 74*o**2 + 328*o + 2. Let c be n(-4). Factor 0 - 2/7*g**c - 6/7*g.
-2*g*(g + 3)/7
Let d(q) = 24*q - 408. Let f be d(17). Factor 0*v + 0*v**2 + f + 1/2*v**3.
v**3/2
Let w = 47 - 985/21. Let f(t) be the first derivative of -w*t**3 + 1 - 32/7*t - 8/7*t**2. Let f(g) = 0. What is g?
-4
Suppose -5*y - 110 = 4*r, 57 = -3*y - y + 3*r. Let k be 4/y - ((-4403)/819 + 5). Suppose -4/13 + 2/13*p + k*p**2 = 0. Calculate p.
-2, 1
Let g(q) = 2*q**3 + q**2 + 4*q - 5. Let v(b) = -b**2 - 1. Suppose 3*x + 6 = 3. Let y(i) = x*g(i) + 5*v(i). Factor y(r).
-2*r*(r + 1)*(r + 2)
Let l(w) = 25*w**4 - 25*w**3 + 15*w**2. Let v(z) = -z**5 + 13*z**4 - 13*z**3 + 7*z**2. Let d(a) = 2*l(a) - 5*v(a). Factor d(g).
5*g**2*(g - 1)**3
Let o = 7 - 0. Let g = 12 - o. Find y, given that 4*y**3 + 2*y - 5*y**3 - y**3 + 1 + 4*y**2 - g = 0.
-1, 1, 2
Let g = 17/25 + -1/75. Let a = -2/21 + g. Solve a + 8/7*z**2 + 2/7*z**3 + 10/7*z = 0 for z.
-2, -1
Find z, given that 5/6*z**3 + 0 - 58/3*z - 48*z**2 = 0.
-2/5, 0, 58
Let k(w) be the first derivative of w**6/2 - 21*w**5/5 + 33*w**4/4 - 5*w**3 - 637. Factor k(z).
3*z**2*(z - 5)*(z - 1)**2
Let j be ((-3)/(-6) - -5 - 5)/(3/3). Factor j*s**2 - 3 - 5/2*s.
(s - 6)*(s + 1)/2
Factor -9 + 16*t**2 - 6557*t + 2*t**2 + 6608*t.
3*(t + 3)*(6*t - 1)
Let d = -143/6 + -911/30. Let m = 55 + d. Determine r so that -m*r**3 - 2/5*r**2 + 0 + 0*r = 0.
-1/2, 0
Let l(m) be the second derivative of 2*m**7/21 - 7*m**6/15 - 9*m**5/10 + 11*m**4/3 - 8*m**3/3 + 57*m - 1. Solve l(x) = 0 for x.
-2, 0, 1/2, 1, 4
Let y(l) be the second derivative of -l**4/4 - 25*l**3/18 - 8*l**2/3 + 191*l. Factor y(n).
-(n + 1)*(9*n + 16)/3
Let h be (1001/(-88) + 11)*(-4550)/6. Let s = h - 284. Factor s*a**3 + 0*a - 1/8*a**2 - 3/8*a**4 + 0 + 1/8*a**5.
a**2*(a - 1)**3/8
Let a(z) be the third deri