**2.
2*r*(r - 2)*(r - 1)*(r + 1)**2
Let m(u) be the second derivative of -u**7/3360 + u**6/240 - 3*u**5/160 - u**4/2 + 5*u. Let j(b) be the third derivative of m(b). Solve j(d) = 0 for d.
1, 3
Let q = -9 - -14. Factor y + 0*y**3 - 12 + 2*y**2 + y**q - y**4 + 11 - 2*y**3.
(y - 1)**3*(y + 1)**2
Let j(t) be the second derivative of -4*t**2 + 2*t**3 - 1/5*t**5 - 7*t + 0 + 0*t**4. Factor j(s).
-4*(s - 1)**2*(s + 2)
Let q(l) be the second derivative of 1/13*l**3 + 0 + 1/78*l**4 + 0*l**2 + 6*l. Factor q(t).
2*t*(t + 3)/13
Let v be 156/(-630) + 6/45. Let y = 17/35 - v. Factor 2/5 - 4/5*q**2 + 1/5*q - y*q**3.
-(q + 1)**2*(3*q - 2)/5
Let h(b) be the third derivative of b**5/50 - 3*b**4/40 + b**3/10 - b**2. Factor h(j).
3*(j - 1)*(2*j - 1)/5
Let -2/3*t**2 + 2*t - 4/3 = 0. Calculate t.
1, 2
Suppose -t + 23 = t - 3*j, -1 = t + j. Suppose -5*l = 3*q - 5, -4*l + 3 = t*q - 1. Find p, given that -4/5*p**2 + q*p + 0 + 2/5*p**3 = 0.
0, 2
Let c(r) be the first derivative of -r**3/3 - r**2/2 - 6. Solve c(w) = 0 for w.
-1, 0
Suppose 2*o + 9 = 5*o. Let n - 24*n**o - 2*n + 5*n + 0*n**2 + 10*n**2 = 0. What is n?
-1/4, 0, 2/3
Let j(n) = n**4 + 3*n**3 - n**2 - n - 2. Let q(r) = -6*r**4 - 19*r**3 + 6*r**2 + 6*r + 13. Let k(m) = -39*j(m) - 6*q(m). Factor k(f).
-3*f*(f - 1)*(f + 1)**2
Let x(a) be the first derivative of 2*a**3/27 + 2*a**2/9 - 9. Factor x(q).
2*q*(q + 2)/9
Let y(n) be the second derivative of 5*n**4/12 - 40*n**3/3 + 160*n**2 + 13*n. Suppose y(k) = 0. What is k?
8
Let n be 24/(-345) - 3/(-15). Let i = 75/46 - n. Factor -i*x**3 + 0*x + 0*x**2 + 0.
-3*x**3/2
Let h(d) = 14*d**4 - 3*d**4 + d**2 - 2 + d - 6*d**3 + 2*d**3 - 7*d**5. Let k(u) = -3*u**5 + 5*u**4 - 2*u**3 + u - 1. Let c(r) = 4*h(r) - 10*k(r). Factor c(b).
2*(b - 1)**4*(b + 1)
Let g(c) = -17*c**2 + 4*c + 13. Let t(o) = 6*o**2 - 3*o - 3. Let m(k) = k**2 - k. Let h(f) = -2*m(f) + t(f). Let d(b) = -6*g(b) - 26*h(b). Factor d(r).
-2*r*(r - 1)
Let f(g) be the first derivative of g**7/1050 - g**5/150 + g**3/30 - g**2 - 5. Let c(x) be the second derivative of f(x). Solve c(m) = 0.
-1, 1
Let t(w) = -18*w**4 + 6*w**3 + 23*w**2 - 13*w - 5. Let q(g) = -6*g**4 + 2*g**3 + 8*g**2 - 4*g - 2. Let p(h) = 7*q(h) - 2*t(h). Determine c so that p(c) = 0.
-1, -2/3, 1
Let f(s) be the first derivative of s**4/24 + s**3/3 + s**2 - 4*s + 8. Let p(t) be the first derivative of f(t). Determine j so that p(j) = 0.
-2
Let f(a) = 8*a**5 + 13*a**4 + 5*a**3 - 13*a + 13. Let d(x) = 2*x**5 + 3*x**4 + x**3 - 3*x + 3. Let v(n) = -26*d(n) + 6*f(n). Factor v(g).
-4*g**3*(g - 1)*(g + 1)
Suppose 0 = -5*b + 2*p + p + 24, 0 = 2*p - 4. Factor 8*q + 0*q - q**2 - b*q.
-q*(q - 2)
Let o(h) be the second derivative of -h**9/3024 + h**8/1680 + h**7/840 - h**6/360 + 2*h**3/3 + h. Let v(j) be the second derivative of o(j). Factor v(l).
-l**2*(l - 1)**2*(l + 1)
Factor -4/9*i**4 - 4*i**3 + 0*i + 0 - 32/9*i**2.
-4*i**2*(i + 1)*(i + 8)/9
Let h(c) be the third derivative of 4*c**6/5 - 4*c**5/15 + c**4/36 - 3*c**2 + 2*c. Factor h(n).
2*n*(12*n - 1)**2/3
Let z(n) be the third derivative of -n**9/332640 - n**8/36960 - n**7/13860 - n**5/60 - 4*n**2. Let j(l) be the third derivative of z(l). Factor j(g).
-2*g*(g + 1)*(g + 2)/11
Solve -40*t - 71 + 5*t**2 + 5*t**3 + 2 + 9 = 0 for t.
-2, 3
Suppose 2*m + m = 3*c - 6, -3 = -3*c + 2*m. Let z be (-3)/(45/3)*c. What is p in 0*p**3 + 3/5*p**2 - z*p**4 - 2/5*p + 0 = 0?
-2, 0, 1
Let m(s) be the first derivative of 3*s**4/20 - s**3/5 - 30. Factor m(h).
3*h**2*(h - 1)/5
Let h(x) be the third derivative of -7*x**2 + 1/32*x**4 - 1/24*x**3 + 0*x - 1/120*x**5 + 0. Factor h(s).
-(s - 1)*(2*s - 1)/4
Let i(d) be the first derivative of -d**4/4 - d**3 + 6. Find k such that i(k) = 0.
-3, 0
Let n(w) be the second derivative of w**4/30 + 4*w**3/15 + 4*w**2/5 + 5*w. Determine q, given that n(q) = 0.
-2
Let k(q) = -q + 9. Let g be k(0). Let v = 12 - g. Factor -6/7*m**2 - 2/7*m**v - 6/7*m - 2/7.
-2*(m + 1)**3/7
Let b(z) be the third derivative of z**7/280 + 3*z**6/80 - 7*z**5/80 + 29*z**2. Solve b(v) = 0 for v.
-7, 0, 1
Let x(z) be the third derivative of -z**6/40 + 7*z**5/10 + 31*z**4/8 + 8*z**3 - z**2 + 6*z. Factor x(b).
-3*(b - 16)*(b + 1)**2
Factor 9/4 - 2*j**3 + 11/2*j**2 - 6*j + 1/4*j**4.
(j - 3)**2*(j - 1)**2/4
Suppose 5*d = 3*c, 3*c - 9*d = -6*d. Factor c + 0*n**3 - 2/3*n**4 + 2/3*n**2 + 0*n.
-2*n**2*(n - 1)*(n + 1)/3
Suppose -9/4*m + 3/2 + 3/4*m**2 = 0. What is m?
1, 2
Suppose -8 = -8*l + 4*l. Factor -l*c**2 + 2/5*c**3 - 6/5 + 14/5*c.
2*(c - 3)*(c - 1)**2/5
Let u(w) be the first derivative of -w**4/2 - 8*w**3/3 - 3*w**2 + 10. Solve u(l) = 0.
-3, -1, 0
Let f(o) = -o**2 - 20*o + 23. Let k be f(-21). Find d such that -1/2 - 1/2*d**k - d = 0.
-1
Let x be (7 + -8)*(-2)/(-2). Let f be (-3)/x + -2 + 1. Let -4/3 - 4/3*o - 1/3*o**f = 0. What is o?
-2
Let w(b) be the second derivative of -b**7/210 + b**6/120 + b**5/30 - b**2/2 + 9*b. Let l(c) be the first derivative of w(c). Let l(m) = 0. What is m?
-1, 0, 2
Let i be (-1)/6 + (-155)/(-30). Suppose 2*w - 5 = 1, 0 = 5*f + 2*w - 16. Factor o**3 - o**i + o**2 - o**4 - 6*o**f + 6*o**2.
-o**2*(o - 1)*(o + 1)**2
Let u = -16 + 19. Let 0 + 0*b**2 + 1/2*b**4 + 0*b - 1/2*b**u = 0. What is b?
0, 1
Let h be (-32)/12 - 4/(-6). Let l be (14/49)/(h/(-14)). What is y in 0 + 1/4*y - 1/2*y**l + 1/4*y**3 = 0?
0, 1
Let y(z) be the second derivative of -z**7/189 - z**6/135 + z**5/45 + z**4/27 - z**3/27 - z**2/9 - 6*z. Factor y(f).
-2*(f - 1)**2*(f + 1)**3/9
Let p(z) = -2*z - 2. Let d be p(-2). Suppose -d*m = m. Solve m - 4/7*y**3 + 2/7*y**2 + 2/7*y**4 + 0*y = 0 for y.
0, 1
Suppose -4/7*z**2 + 2/7*z**4 - 6/7*z**3 + 3/7*z + 2/7 + 3/7*z**5 = 0. What is z?
-1, -2/3, 1
Factor -1/4*o**4 + 1/4*o**2 + 0 - 1/2*o**3 + 1/2*o.
-o*(o - 1)*(o + 1)*(o + 2)/4
Let k(z) = -z**2 + 1. Let c = 19 - 23. Let b(y) = 3*y**2 - 3. Let x(w) = c*b(w) - 11*k(w). Solve x(d) = 0 for d.
-1, 1
Let j be ((-2)/(-5))/(1/5). Let a(f) be the first derivative of 1/4*f**j + 1 + 3/16*f**4 + 0*f + 7/12*f**3. Determine b so that a(b) = 0.
-2, -1/3, 0
Suppose -16 = -4*a - 0. Let z(m) = -2*m**3 - 4*m**2 - 3*m - 2. Let k be z(-2). Let a*y**3 - 10*y**k + 10*y**2 - 3 - 4*y + 3 + 0 = 0. Calculate y.
-1, 0, 2/5, 1
Let h(s) = -s**3 + 4*s**2 + 4*s + 5. Let y be h(5). Suppose 2 = f - y. Suppose 5*z**f - 4*z**2 + 2 - 3*z**2 = 0. Calculate z.
-1, 1
Let j(q) be the first derivative of -4*q**3/3 + 2*q**2 + 9*q - 1. Let b(z) = -5*z**2 + 4*z + 10. Let a(x) = 5*b(x) - 6*j(x). Let a(p) = 0. Calculate p.
-2
Let c(r) be the third derivative of -r**6/160 + r**5/48 + r**4/24 - r**3/6 - 21*r**2. Factor c(i).
-(i - 2)*(i + 1)*(3*i - 2)/4
Let 5*g**4 - 7*g**4 + g**2 + g**2 = 0. Calculate g.
-1, 0, 1
Suppose 0*u = -3*u + 24. Let f = u + -4. Determine l so that 0*l**f + 2/3*l**3 - 1/3*l**5 + 0*l**2 + 0 - 1/3*l = 0.
-1, 0, 1
Let 2/3 - 2/3*l**3 - 2*l + 2*l**2 = 0. What is l?
1
Let g = -29 - -25. Let o be (-6)/g + (-2)/(-4). What is k in 2/9*k**3 + 0*k**o + 8/9*k**4 + 0*k + 0 = 0?
-1/4, 0
Let d be ((-1092)/270 + 4)*-3. Let -4/15*q**2 - 2/15*q + 0 - d*q**3 = 0. Calculate q.
-1, 0
Let a(y) be the third derivative of y**8/112 - 3*y**7/70 - y**6/8 + 3*y**5/20 + y**4/2 - 12*y**2. Factor a(u).
3*u*(u - 4)*(u - 1)*(u + 1)**2
Let n be 2/(-3) - (-69)/9. Let w be n/12 - 2/8. Factor -w*p**2 - 2/3*p - 1/3.
-(p + 1)**2/3
Let u be 24/(-9)*(-6)/4. Factor 7*r - 9*r**2 - 4*r**u - 1 + 4*r**3 - 6*r**2 + 9*r**3.
-(r - 1)**3*(4*r - 1)
Let h(r) = 11*r - 3. Let d be h(2). Suppose 2*x**2 - 8 + 21*x + 11*x + 3*x**2 - d*x**2 = 0. What is x?
2/7, 2
Let n(l) = -l**2 + 6*l - 1 - l**2 + l**2. Let y be n(5). Suppose 3*z**2 - y*z**2 - 5*z**2 - 16*z + 0 - 8 = 0. Calculate z.
-2, -2/3
Let k be (0 + 1)*(-28)/14. Let z = k - -4. Factor o + 2/3 + 1/3*o**z.
(o + 1)*(o + 2)/3
Let n be 2/(((-27)/3)/(-18)). Factor -d**2 - 4/9*d**n + 1/9*d + 1/9 + 11/9*d**3.
-(d - 1)**3*(4*d + 1)/9
Factor 0 - 2/5*w**2 + 2/5*w**3 - 4/5*w.
2*w*(w - 2)*(w + 1)/5
Let y(f) be the third derivative of -1/30*f**5 + 0*f + f**2 + 1/105*f**7 + 0*f**3 - 1/24*f**4 + 1/336*f**8 + 0*f**6 + 0. Factor y(m).
m*(m - 1)*(m + 1)**3
Let c = -18 - -20. Factor -20*j**3 + j**2 - 2*j**c + 4*j + 0*j - j**2.
-2*j*(2*j + 1)*(5*j - 2)
Suppose -3 = 4*h - 11. Find i, given that 31*i**3 + 6*i - 51*i**h + 70*i**3 - 48*i**4 + 12*i**3 + 7*i**3 = 0.
0, 1/4, 2
Suppose 0 = -w 