**3.
2*f**2*(f - 2)
Let n be ((-8)/(-12) + 0)/16. Let c(j) be the second derivative of 0 - 1/12*j**3 - 1/4*j**2 - 3*j + 1/40*j**5 + n*j**4. Factor c(p).
(p - 1)*(p + 1)**2/2
Let p = -5247 + 5247. Let q = 9/2 + -23/6. Factor -q*f**2 + 2/3*f**4 + 2/3*f - 2/3*f**3 + p.
2*f*(f - 1)**2*(f + 1)/3
Let x(m) be the second derivative of 5*m**4/12 - 75*m**3/2 + 110*m**2 - 66*m - 2. Factor x(q).
5*(q - 44)*(q - 1)
Let n be (-43)/9 - ((-114)/(-27) + -4). Let l(j) = j**3 - j**2 - j. Let y(v) = 9*v**3 - 10*v**2 - 7*v. Let f(a) = n*y(a) + 40*l(a). Solve f(b) = 0.
0, 1
Determine m, given that -8/3*m - 2/9*m**3 - 16/9 - 4/3*m**2 = 0.
-2
Let 198/7*f + 292/7*f**2 + 6*f**4 - 2/7*f**5 + 50/7 + 188/7*f**3 = 0. What is f?
-1, 25
Factor 0 + 10/3*s**2 - 1/3*s - 3*s**3.
-s*(s - 1)*(9*s - 1)/3
Let g(a) = a**2 + a - 1. Let d(s) = 2*s + 36*s**2 - 64 + 2*s - 5*s**3 - 28*s**2 + s**3. Let w(v) = d(v) + 8*g(v). What is u in w(u) = 0?
-2, 3
Let i be 3*(6/36)/(1/4). Let m(b) be the first derivative of -i + 4*b - 2/3*b**3 - b**2. Solve m(s) = 0 for s.
-2, 1
Let k = -63 - -68. Suppose k*g + 11 + 1 = -4*l, 2*l - 3*g - 16 = 0. Factor 12/7*d - 4/7*d**l - 8/7.
-4*(d - 2)*(d - 1)/7
Let l = 52 + -50. Factor 2*d**5 - 6*d + 4*d**4 + 4*d - d**2 - 3*d**l.
2*d*(d - 1)*(d + 1)**3
Let g(j) be the second derivative of -3*j**5/160 - 21*j**4/32 - 19*j**3/8 + 99*j. Factor g(v).
-3*v*(v + 2)*(v + 19)/8
Factor 21/2*q + 3/2*q**2 + 18.
3*(q + 3)*(q + 4)/2
Let k(o) be the third derivative of 7/60*o**4 + 0*o + 0 + 0*o**5 - 1/300*o**6 - 2/5*o**3 - 33*o**2. Find g, given that k(g) = 0.
-3, 1, 2
Let h(x) be the third derivative of -3*x**8/560 - 5*x**7/126 + x**6/30 - 7*x**4/12 - 10*x**2. Let b(t) be the second derivative of h(t). What is s in b(s) = 0?
-3, 0, 2/9
Let r(o) be the first derivative of 2*o**6 + 27/4*o**4 + 33/5*o**5 + 6 + 0*o - 3/2*o**2 + o**3. Find d, given that r(d) = 0.
-1, 0, 1/4
Factor -36/7*p**2 + 6*p**3 + 0 + 0*p - 16/7*p**4 + 2/7*p**5.
2*p**2*(p - 3)**2*(p - 2)/7
Let w(a) be the first derivative of -a**3/6 - 25*a**2/4 + 13*a + 158. Solve w(k) = 0.
-26, 1
Let f be (12/(-14))/(285/(-1330)). Let -14/3*s**2 - f - 46/3*s = 0. What is s?
-3, -2/7
Let v(j) be the third derivative of 10*j**2 + 0 + 0*j - 1/12*j**3 - 1/60*j**6 - 1/20*j**5 - 1/420*j**7 - 1/12*j**4. Factor v(z).
-(z + 1)**4/2
Suppose f = -0 + 5. Suppose -c - 3*c + 47 = 5*j, f*c = -2*j + 80. Solve 4*k - 12*k**2 - 18 + c = 0.
0, 1/3
Suppose 0 = -4*a + 60 - 0. Let k be (-3)/(a/5)*-3. Factor -5*p**2 + k*p + p**2 + 10*p**3 + 4 - 3*p**4 - 7*p - 3*p**2.
-(p - 2)*(p - 1)**2*(3*p + 2)
Suppose 0 = -5*k - 3 + 53. Factor -10*h + 3*h**2 + 45*h - 28*h**2 - k.
-5*(h - 1)*(5*h - 2)
Find u such that 49686/11*u - 1507142/11 + 2/11*u**3 - 546/11*u**2 = 0.
91
Let w be 2/((6/(-4))/(-3)). Factor -w*k**2 - 21 + k**2 - k**2 - 15 - 24*k.
-4*(k + 3)**2
Let k be (3/9)/(4/48). Let y be (k/(-8))/((-2)/12). Solve 2 + 2*s**3 - 6*s**3 + 4*s**2 - 5*s + y*s**3 = 0 for s.
1, 2
Factor 357*g**2 - 349*g**2 - 5*g - 4*g - g**3 + 3*g - g.
-g*(g - 7)*(g - 1)
Let h be -4*2/8*(434/(-28) - -15). Suppose h*r**2 + 1/2*r**3 + 0*r + 0 = 0. Calculate r.
-1, 0
Let u(b) be the second derivative of -b**5/30 - 7*b**4/18 - 14*b**3/9 - 8*b**2/3 + 317*b. Solve u(l) = 0 for l.
-4, -2, -1
Let j be (-5)/30*99/66 - 15/(-28). Let u = 6 + -4. Determine v so that 6/7*v**4 - 6/7*v**3 + 0*v + 0 - 2/7*v**5 + j*v**u = 0.
0, 1
Suppose 2*k - 21 = -4*w - 7, -3*w + 4*k + 16 = 0. Suppose -8 = -w*b + 4. Determine s so that 3*s**3 + s - 3*s**4 - b*s**2 + 0*s**4 + 0*s + 2*s**4 = 0.
0, 1
Let v(g) = -g**3 - g**2 + g - 5. Let c = -38 - -35. Let b(a) = -3*a**3 - 3*a**2 + 3*a - 11. Let q(u) = c*b(u) + 7*v(u). What is x in q(x) = 0?
-1, 1
Let z(t) be the first derivative of t**4/18 + 20*t**3/27 - 4*t**2/9 - 80*t/9 - 728. Suppose z(q) = 0. What is q?
-10, -2, 2
Let b(w) be the third derivative of -1/14*w**7 - 1/12*w**6 + 7*w**2 + 1/6*w**5 - 5/336*w**8 + 5/8*w**4 + 0*w + 0 + 5/6*w**3. Find t such that b(t) = 0.
-1, 1
Let j(o) be the second derivative of 11*o**5/80 + 3*o**4/4 + 31*o**3/24 + 3*o**2/4 + 7*o - 1. Suppose j(u) = 0. What is u?
-2, -1, -3/11
Let r be ((-15)/(-20)*6)/(7 - (-3)/(-3)). Factor 1/4*a**2 + 1/2 - r*a.
(a - 2)*(a - 1)/4
Find o such that -2/3*o**4 - 10/9*o**3 + 2/9*o**5 + 6*o**2 - 64/9*o + 8/3 = 0.
-3, 1, 2
Let j(p) = 50*p**2 + 3*p + 2*p**3 - 54*p**2 + 0 - 1. Let h(w) = w**3 - w**2 + w - 1. Let k(f) = -h(f) + j(f). Factor k(x).
x*(x - 2)*(x - 1)
Let w(j) be the third derivative of j**5/270 - j**4/36 - 2*j**3/3 + 53*j**2. Find y, given that w(y) = 0.
-3, 6
Let f be (-2)/(-2) + (-27)/(-5). Let q be 6/(0 + (-90)/(-528)). Factor 18/5*a**4 + f + 128/5*a + 96/5*a**3 + q*a**2.
2*(a + 2)**2*(3*a + 2)**2/5
Let n(z) be the second derivative of -z**5/80 - z**4/3 - 41*z**3/24 - 13*z**2/4 - 2*z + 53. What is f in n(f) = 0?
-13, -2, -1
Let h be (-27)/3 + (-609)/(-63). Suppose -4*d + 6 = -0*s - 3*s, -4*s = 3*d + 8. Find x such that -1/3*x**3 - x**2 + d - 1/3*x**5 + x**4 + h*x = 0.
-1, 0, 1, 2
Let g(o) be the first derivative of -12*o**5/5 - 16*o**4 - 68*o**3/3 - 8*o**2 - 3. Factor g(m).
-4*m*(m + 1)*(m + 4)*(3*m + 1)
Let a = -407/42 - -69/7. Let c(i) be the first derivative of 4/15*i**5 + 2 + 2/3*i - 2/3*i**3 - 1/3*i**4 + a*i**2 + 1/6*i**6. Factor c(q).
(q - 1)*(q + 1)**3*(3*q - 2)/3
Let z(b) be the third derivative of -25*b**2 - 1/180*b**5 - 1/1008*b**8 + 2 - 2/9*b**3 + 0*b + 1/9*b**4 - 7/360*b**6 + 1/126*b**7. Solve z(j) = 0.
-1, 1, 2
Let y(h) = 38*h**3 - 56*h**2 - 86*h + 160. Let j(o) = -8*o**3 + 11*o**2 + 17*o - 32. Let a(p) = -28*j(p) - 6*y(p). Determine x, given that a(x) = 0.
-2, 1, 8
Let i be ((-40)/3900)/((-1)/15). Factor 2/13*t**3 - 2/13*t**5 + 0 + 2/13*t**4 + 0*t - i*t**2.
-2*t**2*(t - 1)**2*(t + 1)/13
Let x(b) = -b**2 + 4. Let k be x(3). Let v be k/(-2)*(2 - 0). Find g, given that 10*g**2 - 12*g**2 + v*g**2 + 6*g = 0.
-2, 0
Suppose -u - 6 = 3. Let m be (-20)/u + (-16)/72. Factor -m - v + 2*v**2 + 0 + v.
2*(v - 1)*(v + 1)
What is g in -1 + 1/2*g**2 - 1/2*g = 0?
-1, 2
Let x(h) = 2*h**2 - 16*h + 14. Let o be x(7). Let w(n) be the first derivative of -3/10*n**5 - 1/4*n**6 + 1/2*n**3 + 3/8*n**4 - 3 + o*n**2 + 0*n. Factor w(j).
-3*j**2*(j - 1)*(j + 1)**2/2
Let q(p) be the first derivative of -p**5/4 + 7*p**4/4 + 47*p**3/12 + 7*p**2/4 + 57. Factor q(g).
-g*(g - 7)*(g + 1)*(5*g + 2)/4
Let s(d) = -d**5 + d**4 + d**3 + 2*d**2 + d - 1. Let y(n) = -12*n**5 + 5*n**4 + 31*n**3 + 48*n**2 + 20*n - 7. Let h(f) = 28*s(f) - 4*y(f). Factor h(o).
4*o*(o + 1)**3*(5*o - 13)
Let z(q) = -q**2 - 11*q - 16. Let w be z(-7). Determine p so that 4*p**2 - 4*p**2 + 4*p**2 - p**2 + 12 + w*p = 0.
-2
Let a(c) be the third derivative of 7*c**5/60 - 31*c**4/24 - 10*c**3/3 - 75*c**2 + 3. What is y in a(y) = 0?
-4/7, 5
Let m be 2/(-6)*(-2 + (4 - 2)). Let l be (m + 1 + 2)*(-27)/(-45). Factor -7/5*c**2 + 0 - 1/5*c**5 - 2/5*c - c**4 - l*c**3.
-c*(c + 1)**3*(c + 2)/5
Let d(h) be the third derivative of -h**5/240 + 5*h**4/16 - 29*h**3/24 + 16*h**2 + 14*h. Factor d(g).
-(g - 29)*(g - 1)/4
Let d = -5804/65 - -1166/13. Factor -2/5*g**2 + 2/5*g**3 - 2/5*g + d.
2*(g - 1)**2*(g + 1)/5
Let s = 1365511 - 86025302/63. Let v = -207/7 + s. Suppose -v*h**5 + 0 + 0*h + 8/9*h**2 - 14/9*h**4 - 8/9*h**3 = 0. What is h?
-2, 0, 1/2
Let c(u) = -5*u - 15. Let b be c(-4). Solve 51 - 49 + z - b*z + 2*z**2 = 0.
1
Let f(g) = 5*g**2 + 283*g + 3923. Let t(m) = 5*m**2 + 282*m + 3922. Let x(q) = -2*f(q) + 3*t(q). Suppose x(d) = 0. Calculate d.
-28
Suppose 0 = -721*k + 715*k + 12. Let -1 + 1/2*x**3 - 1/2*x + x**k = 0. What is x?
-2, -1, 1
Let o(v) be the second derivative of -5/12*v**4 + v**2 + 1/20*v**5 + 0 + 1/10*v**6 + 6*v - 1/6*v**3. Factor o(g).
(g - 1)*(g + 1)**2*(3*g - 2)
Let m = 741298913/620 + -1195643. Let k = -1/124 + m. Determine w, given that -6/5*w**2 - 2/5*w**4 + 0 + 6/5*w**3 + k*w = 0.
0, 1
Let h(u) = u**2 - 72*u - 3. Let d(n) = 3*n**2 - 142*n - 7. Let f(i) = 6*d(i) - 14*h(i). Factor f(l).
4*l*(l + 39)
Let d(o) be the second derivative of o**7/420 - o**6/180 - o**5/360 + o**4/72 - 7*o**2/2 - 16*o. Let k(r) be the first derivative of d(r). Factor k(s).
s*(s - 1)**2*(3*s + 2)/6
Let k(u) = -8*u**2 + 655*u. Let s(j) = -2*j**2 + 164*j. Let m(h) = 2*k(h) - 9*s(h). Let m(a) = 0. What is a?
0, 83
Let k(l) be the second derivative of -l**5/80 - l**4/24 + l**