**2.
-(m - 5)*(3*m + 1)/2
Let t = -319/2 - -160. Let b(i) be the second derivative of 2*i - 1/2*i**4 - t*i**3 + 3/20*i**5 + 0 + 3*i**2. Factor b(p).
3*(p - 2)*(p - 1)*(p + 1)
Let q(f) = 2*f**2 - 4*f. Let x be q(3). Let k be (x/(-4))/(75/(-20)). Factor k + 0*o - 2/5*o**2.
-2*(o - 1)*(o + 1)/5
Let b be (-2392)/(-48) - (-2)/12. Let c be b/20 - (0 + 1). Factor -c*f**4 - 3/2*f - 9/2*f**2 - 9/2*f**3 + 0.
-3*f*(f + 1)**3/2
Let f be (5 + -5)/(3*-1). Let g(j) be the first derivative of f*j**2 - 1/5*j**5 + 1/3*j**3 + 3 + 0*j + 0*j**4. Factor g(a).
-a**2*(a - 1)*(a + 1)
Let y = -8 - -14. Let g(l) = -l**2 + l. Let k(h) = 3*h**2 - 9*h + 6. Let c(b) = y*g(b) + k(b). Solve c(i) = 0.
-2, 1
Find s, given that 120*s + 42*s**3 - 16 - 159*s**2 - 93*s**2 + 56*s**3 = 0.
2/7, 2
Factor 480*y**4 - 508*y**4 + 19*y**5 + 17*y**3 - 2*y**2 - 6*y**5.
y**2*(y - 1)**2*(13*y - 2)
Factor 0 + 2/7*y + 2/7*y**3 - 4/7*y**2.
2*y*(y - 1)**2/7
Let w(u) be the third derivative of -u**6/600 - u**5/100 - u**4/60 - 10*u**2. Let w(z) = 0. Calculate z.
-2, -1, 0
Let t = -31/2226 - -2/53. Let l(o) be the second derivative of -2/7*o**2 - o + 0 + t*o**4 - 1/21*o**3. What is f in l(f) = 0?
-1, 2
Suppose -15 = -2*r + 17. Let h be (r/(-112))/(4/(-14)). Solve -1/4*l + 1/4*l**3 - h + 1/2*l**2 = 0 for l.
-2, -1, 1
Let t(u) be the first derivative of -u**6/540 + u**5/270 + u**2 - 1. Let p(h) be the second derivative of t(h). Factor p(o).
-2*o**2*(o - 1)/9
Let s(n) be the second derivative of -n**7/4620 + n**5/660 - n**3/3 + 5*n. Let o(p) be the second derivative of s(p). Factor o(c).
-2*c*(c - 1)*(c + 1)/11
Let x = -781/7 - -113. Factor 4/7 - 4/7*t**2 - 10/7*t**3 + x*t.
-2*(t - 1)*(t + 1)*(5*t + 2)/7
Let o(t) = 13*t**2 - 24*t - 5. Let z(n) = -84*n**2 + 156*n + 32. Let r(c) = 32*o(c) + 5*z(c). Factor r(d).
-4*d*(d - 3)
Let k = -804 - -12068/15. Let w(t) be the first derivative of 2/5*t + 3/10*t**2 - 18/25*t**5 - 1/6*t**6 - 11/10*t**4 - k*t**3 - 2. Factor w(f).
-(f + 1)**4*(5*f - 2)/5
Let r = 1 + 2. Let h be (2*-4)/(1 - r). Solve -2*i**2 + h*i**4 + 2*i + 2*i**5 - 4*i**5 - 2*i**2 = 0 for i.
-1, 0, 1
Let l(f) be the third derivative of 0 + 1/735*f**7 - 1/210*f**5 + 1/420*f**6 + 0*f**3 + 0*f - 1/84*f**4 + 2*f**2. Solve l(x) = 0 for x.
-1, 0, 1
Determine m, given that 2*m**3 + 4/7*m**2 - 4/7 - 2*m = 0.
-1, -2/7, 1
Suppose 4*q + 5 = 3*c, -3*c + 2*q = -q. Let z be (-9)/c - 5/(-25). What is t in 0 - 1/4*t**z - 1/4*t = 0?
-1, 0
Let w be (-8)/36 - 215/45. Let g = w + 7. Solve -1/2*p - 1/4*p**g + 0 = 0 for p.
-2, 0
Let j(x) be the third derivative of 0 + 1/27*x**3 - 1/270*x**5 - 2*x**2 + 0*x - 1/540*x**6 + 1/108*x**4. Factor j(y).
-2*(y - 1)*(y + 1)**2/9
Suppose -6 = 2*l - 12. Factor -w**4 - 5 + l + 5 - 4 + 2*w**2.
-(w - 1)**2*(w + 1)**2
Let g = 22 + -17. Let s(q) = 20*q**3 - 84*q**2 + 24*q. Let w(v) = -4*v**3 + 17*v**2 - 5*v. Let d(o) = g*s(o) + 24*w(o). Determine u, given that d(u) = 0.
0, 3
Let m = -72 + 506/7. Suppose 0*r + m*r**2 + 0 = 0. What is r?
0
Let o(x) be the second derivative of x**5/50 - x**4/10 + 2*x**3/15 + 51*x. Factor o(m).
2*m*(m - 2)*(m - 1)/5
Let z(u) be the second derivative of -6*u**7/7 + 11*u**6/10 + 21*u**5/10 - 3*u**4 - u**3 + 3*u**2/2 - u. Suppose z(s) = 0. Calculate s.
-1, -1/3, 1/4, 1
Determine q so that 3/2*q**2 + 9*q + 0 = 0.
-6, 0
Let y be -10*1*(-6)/15. Find b, given that 0 + 1/2*b**3 - 1/4*b**y + 1/4*b**2 - 1/2*b = 0.
-1, 0, 1, 2
Suppose 3*w - 2 = 4*w, -c + 3*w = -12. Factor -c*k**2 + k**3 + 3*k - 2*k**3 - 2*k**3 + 6*k**3.
3*k*(k - 1)**2
Let o(b) = 8*b**2 - 2*b. Let x(p) = -p**2. Let u(l) = 2*o(l) + 20*x(l). Solve u(g) = 0.
-1, 0
Let y(x) = 5*x**3 - 10*x**2 - 10*x. Let h(i) = -i**2 - i - 1. Let n(p) = 5*h(p) - y(p). Factor n(u).
-5*(u - 1)**2*(u + 1)
Let a(j) be the first derivative of 1/4*j**3 + 3/4*j - 6 - 3/4*j**2. Factor a(t).
3*(t - 1)**2/4
Let y be (-3)/(-2)*-2 - 30/(-9). Let z(j) be the third derivative of 0*j - j**2 + y*j**3 + 2/15*j**5 - 5/12*j**4 + 0. Factor z(m).
2*(m - 1)*(4*m - 1)
Let j(w) be the third derivative of 5*w**8/336 + w**7/21 - w**5/6 - 5*w**4/24 - w**2 + 32*w. Factor j(y).
5*y*(y - 1)*(y + 1)**3
Let z be (1/35)/((-3)/219). Let b = -9/5 - z. Find x such that 0*x**3 + 0*x + 0*x**2 - b*x**4 + 0 = 0.
0
Let u(q) be the second derivative of q**6/40 + 3*q**5/20 + 3*q**4/8 + q**3/2 + 3*q**2/8 + 5*q. Determine t so that u(t) = 0.
-1
Factor 10*o**2 + 5/3*o**3 + 15*o + 0.
5*o*(o + 3)**2/3
What is y in 15 + 36*y + 21 + 27*y**2 - 24 = 0?
-2/3
Suppose -10*g = -32 + 2. Factor -5/2*k**4 - 2*k**2 + 0*k + 0 + 1/2*k**5 + 4*k**g.
k**2*(k - 2)**2*(k - 1)/2
What is u in -8/3 + 0*u**2 - 4/3*u**3 + 4*u = 0?
-2, 1
Let u be ((-1)/2)/((-12)/56). Let v = u + -11/6. Factor -v - 1/2*z**2 + z.
-(z - 1)**2/2
Suppose -4*g**3 + 4*g**3 + 9*g**2 + 1 - 6*g + 2*g**3 - 6*g**3 = 0. Calculate g.
1/4, 1
Suppose n - 9 = -2*n. Factor 3*m - n*m**2 - m + 4*m - 3.
-3*(m - 1)**2
Let x(n) be the third derivative of -n**7/420 - n**6/60 + n**4/3 + n**3 - n**2. Let i(m) be the first derivative of x(m). What is s in i(s) = 0?
-2, 1
Suppose -56 = -5*o - 3*k, -4*o - k + 10 + 32 = 0. Suppose 5*a = -0 + o. Suppose 1/3 - c + c**a - 1/3*c**3 = 0. What is c?
1
Let q(g) = 6*g**2 + 6*g - 16. Let k(n) = 2*n**2 + 2*n - 5. Let h(p) = 16*k(p) - 5*q(p). Factor h(x).
2*x*(x + 1)
Let b(w) be the second derivative of 0*w**3 + 3*w + 0*w**2 + 0 - 1/12*w**6 - 1/6*w**4 + 1/5*w**5 + 1/84*w**7. Factor b(v).
v**2*(v - 2)**2*(v - 1)/2
What is p in 0 - 2/5*p**4 + 4/15*p - 2/15*p**5 + 2/5*p**2 - 2/15*p**3 = 0?
-2, -1, 0, 1
Find r, given that 0 - 36/5*r**2 + 6/5*r**3 + 6/5*r**4 + 0*r = 0.
-3, 0, 2
Let b(k) be the first derivative of 0*k - 4 + 0*k**2 + 2/21*k**3 + 1/14*k**4. Factor b(f).
2*f**2*(f + 1)/7
Find b such that -6*b**2 + 0 - 9*b - 155*b**3 + 154*b**3 + 0 = 0.
-3, 0
Let x(o) be the second derivative of -o**4/3 + 2*o**3 - 4*o**2 + 9*o. Factor x(c).
-4*(c - 2)*(c - 1)
Suppose 19*p - 12 = 16*p. Factor 2/7*b**p - 4/7*b**5 + 0*b + 0*b**3 + 0 + 0*b**2.
-2*b**4*(2*b - 1)/7
Let f = 12 + -25. Let x = f - -19. Factor 16*k**2 + 13*k**3 - x*k**3 + 2 + 8*k + 3*k.
(k + 1)**2*(7*k + 2)
Let a(c) be the third derivative of 0*c**5 + 0*c + 0*c**3 + 3*c**2 + 0 - 1/36*c**4 + 1/180*c**6. Let a(m) = 0. What is m?
-1, 0, 1
Let y(d) = d**2 + 3*d - 4. Let v be y(2). Let k = v + -4. Factor 6/7*b + 4/7 + 2/7*b**k.
2*(b + 1)*(b + 2)/7
Let v(a) be the second derivative of -a**6/60 + a**5/80 + a**4/6 - a**3/6 - 14*a. Determine l, given that v(l) = 0.
-2, 0, 1/2, 2
Let k(r) = r**3 + 12*r**2 + 10*r - 11. Let t be k(-11). Factor -1/4*n + t + 1/4*n**2.
n*(n - 1)/4
Let -4*b**5 + 4 + 0 - 12*b**4 + 0 - 8*b**3 + 8*b**2 + 12*b = 0. What is b?
-1, 1
Let l(p) = p - 3. Let o be l(6). What is n in 0*n**4 + 1 - 2*n + 0*n**3 - n**4 + 2*n**o = 0?
-1, 1
Let h(z) be the third derivative of -z**8/6720 - z**7/2520 + z**6/720 + z**5/120 - z**4/24 - 6*z**2. Let x(a) be the second derivative of h(a). Factor x(m).
-(m - 1)*(m + 1)**2
Let m be 63/6 + (-2)/4. Let x be (-4)/m - (-12)/5. Factor 2*w - w**x - 6*w + 3*w.
-w*(w + 1)
Let u be (12/(-5))/((-7)/14). Let z be (-2)/(-2) - ((-14)/10 - -2). Factor 0 + u*o**3 - z*o + 2/5*o**2.
2*o*(3*o + 1)*(4*o - 1)/5
Factor -1/2*s**2 - 1/2*s**3 + 1/2*s**5 + 0*s + 1/2*s**4 + 0.
s**2*(s - 1)*(s + 1)**2/2
Let c(z) be the first derivative of -z**3/2 - 6*z**2 - 24*z + 1. Let c(g) = 0. Calculate g.
-4
Let z = 10 - 6. Suppose -3*q + z*o = -17, 3*q + o - 10 = -3. Factor 2 + w**2 + 4*w**2 - 2*w**q - w**3 + 3*w - 6*w**2 - w**4.
-(w - 1)*(w + 1)**2*(w + 2)
Let q be ((-4)/(-4))/(2/6). Determine w so that -2*w**4 - w + 4*w**4 + q*w - 6*w**2 + 2*w = 0.
-2, 0, 1
Let b(u) = 6*u**2 + 5*u - 7. Let l = 2 + -2. Suppose 3*s + 21 = -l*s. Let f(c) = 4*c**2 + 3*c - 5. Let r(n) = s*f(n) + 5*b(n). Let r(v) = 0. Calculate v.
-2, 0
Let n = -26 - -28. Suppose -2/5*t + 2/5 - 4/5*t**n = 0. Calculate t.
-1, 1/2
Solve -10*g**4 + 2*g**3 + 5*g**5 - 6 + 2*g**3 + 8 + 10*g**2 - 9*g - 2*g**4 = 0 for g.
-1, 2/5, 1
Let v(m) = 20*m**4 - 511*m**3 + 4309*m**2 - 14069*m + 10240. Let n(c) = 4*c**4 - 102*c**3 + 862*c**2 - 2814*c + 2048. Let h(k) = -11*n(k) + 2*v(k). Factor h(a).
-4*(a - 8)**3*(a - 1)
Let c(v) be the first derivative of 16*v**3/3 + 14*v**2 - 8*v + 12. Determine z, given that c(z) = 0.
-2, 1/4
Let g(i) be the second derivative of -i**5/60 + i**4/18 - i**3/18 + i. Factor