**2. Factor b(h).
-h**3*(h - 2)*(h - 1)
Let p(f) = -204*f**4 + 315*f**3 + 687*f**2 + 252*f. Let r(h) = 29*h**4 - 126*h**2 - 14*h - 45*h**3 - 22*h + 28*h**2. Let c(n) = 2*p(n) + 15*r(n). Factor c(m).
3*m*(m - 3)*(3*m + 2)**2
Let g(o) be the third derivative of 2*o**7/105 - o**6/6 + 2*o**5/5 + 2*o**4/3 - 16*o**3/3 + 7*o**2. Factor g(h).
4*(h - 2)**3*(h + 1)
Let c be (0/(-2))/((-4)/(-4)). Let v be 3/(-30)*4*-1. Find i such that c + 0*i + 2/5*i**2 + v*i**3 = 0.
-1, 0
Suppose 0*n**2 + 3/2*n**4 + 1/2*n**5 + 0 + 0*n + 0*n**3 = 0. What is n?
-3, 0
Let i(u) = -2*u + 4. Suppose 2*t - 6*t = -3*q - 9, -5*q - 4*t = 15. Let x be i(q). Factor 4*p**3 + 0*p**3 + x*p**4 - 16*p**4 + 2*p**5.
2*p**3*(p - 2)*(p - 1)
Suppose 0 = -t - t + 6. Factor 2*r**2 - 4*r**3 + 2*r**t - 3*r**3.
-r**2*(5*r - 2)
Let w(x) be the third derivative of -2*x**7/525 + x**6/30 - 11*x**2. Let w(u) = 0. What is u?
0, 5
Let h be 2/2*(1 - -2). Find x, given that 2 - h*x**3 + 6*x**2 + 7*x**3 + 8*x + 4*x**2 = 0.
-1, -1/2
Let g(m) be the second derivative of m + 1/80*m**5 + 1/8*m**3 - 1/16*m**4 + 0 - 1/8*m**2. Suppose g(j) = 0. Calculate j.
1
Let q(y) be the second derivative of -y**7/42 - y**6/10 - y**5/10 + y**4/6 + y**3/2 + y**2/2 + 2*y. Factor q(i).
-(i - 1)*(i + 1)**4
Let r = -129989/210 + 619. Let p(l) be the third derivative of 0*l**4 + 0 - r*l**7 - 1/6*l**3 - l**2 + 1/30*l**5 + 0*l + 0*l**6. Factor p(n).
-(n - 1)**2*(n + 1)**2
Let r(j) be the second derivative of j**7/48 - j**6/120 - 7*j**5/40 + j**4/12 + 10*j. Let r(y) = 0. What is y?
-2, 0, 2/7, 2
Solve 1/2*z**2 - 1/3*z - 1/6*z**4 + 0 + 0*z**3 = 0 for z.
-2, 0, 1
Let n(r) be the first derivative of 6*r**5/35 + r**4/7 - 2*r**3/3 + 2*r**2/7 + 51. Solve n(o) = 0 for o.
-2, 0, 1/3, 1
Let l be -4 + 3 + -4 + 4. Let g be ((-35)/(-25) + l)*2. Factor -38/5*o**4 - 2/5*o**2 + 0 + g*o - 6*o**3 - 14/5*o**5.
-2*o*(o + 1)**3*(7*o - 2)/5
Let x = -342994/521495 + 2100/1469. Let r = 2/71 + x. Suppose -r*w - 2/5*w**2 + 0 = 0. Calculate w.
-2, 0
Factor -2/21 + 2/21*g**2 + 0*g.
2*(g - 1)*(g + 1)/21
Let d = -196 + 4705/24. Let g(l) be the second derivative of -d*l**4 + 0*l**3 + 0 - 1/60*l**6 + l - 1/20*l**5 + 0*l**2. Solve g(z) = 0.
-1, 0
Let j(o) be the third derivative of -o**4/24 + o**3/3 + 2*o**2. Let m be j(0). Let -2/7*s**m + 2/7*s + 4/7 = 0. Calculate s.
-1, 2
Let p(c) be the third derivative of -c**7/420 + c**6/40 - c**5/24 + 19*c**2. What is h in p(h) = 0?
0, 1, 5
Let x(b) = 1 + 3*b + 5 - 2*b. Let m be x(-5). Factor -30*f + m + 38*f**3 + 3 + 48*f**2 - 6*f**3.
2*(f + 2)*(4*f - 1)**2
Let a be 3 + -5 + 16/7. Suppose -2/7*x**2 + 0 + a*x = 0. Calculate x.
0, 1
Solve -9*o**5 + 8*o**3 - 2*o + 48*o**2 + 3*o**5 - 52*o**2 + 4*o**4 = 0.
-1, -1/3, 0, 1
Let z(r) = -r + 1. Suppose -3*p - 6 = d + 8, 5*p + 24 = -2*d. Let o be z(d). Factor -j**2 - j**4 + 2*j**5 + 0*j**5 + 3*j**4 - j**2 - 2*j**o.
2*j**2*(j - 1)*(j + 1)**2
Let y(b) be the first derivative of -b**6/6 - 3*b**5/5 - 3*b**4/4 - b**3/3 - 2. Determine c, given that y(c) = 0.
-1, 0
Find t, given that -t**3 + 9/4 + 3*t + 1/4*t**4 - 1/2*t**2 = 0.
-1, 3
Let a(l) be the second derivative of l**6/135 - l**5/45 + l**4/54 + l. Factor a(i).
2*i**2*(i - 1)**2/9
Let q(r) = r**2 + r - 3. Let t be q(3). Let x be t*(4/(-6) + 1). Factor 7/2*s**5 + 11/2*s**x + 0 + s**2 + 8*s**4 + 0*s.
s**2*(s + 1)**2*(7*s + 2)/2
Suppose 0 = -4*n - 0 - 4. Let b be n/(-3)*(10 - 4). Factor -2*g**3 + 2*g - g**2 + 1 + 3*g**b - 3.
-2*(g - 1)**2*(g + 1)
Let l(v) be the first derivative of -1/2*v**4 - 1 + 1/5*v**5 + 1/3*v**3 + 0*v**2 + 0*v. Factor l(s).
s**2*(s - 1)**2
Let h(m) be the third derivative of -m**8/504 - 2*m**7/105 - 13*m**6/180 - 2*m**5/15 - m**4/9 + 12*m**2. Factor h(w).
-2*w*(w + 1)**2*(w + 2)**2/3
Let z(c) = c**3 + c. Let g(w) = -49*w**4 - 73*w**3 + 66*w**2 + 56*w + 8. Let s(y) = -g(y) + 4*z(y). Factor s(h).
(h - 1)*(h + 2)*(7*h + 2)**2
Let u be -3 - (-1)/1*10. Let k(x) be the third derivative of 0*x**4 + 0*x + 0 + x**2 - 1/30*x**5 - 1/105*x**u - 1/30*x**6 + 0*x**3. Factor k(g).
-2*g**2*(g + 1)**2
Let d(u) be the first derivative of -u**7/35 + u**6/30 + u**5/10 - u**4/6 + 3*u**2/2 - 2. Let r(v) be the second derivative of d(v). What is c in r(c) = 0?
-1, 0, 2/3, 1
Let x be (-59)/150 + 2/20*4. Let i(d) be the third derivative of 0 + 1/60*d**4 + 0*d + 4*d**2 - x*d**5 + 0*d**3. Factor i(r).
-2*r*(r - 1)/5
Factor -3*r**3 + 0*r + 0 + 7/3*r**4 + 2/3*r**2.
r**2*(r - 1)*(7*r - 2)/3
Let m(j) be the first derivative of -j**4/4 + 5*j**3/6 - j**2/4 - j + 13. Factor m(t).
-(t - 2)*(t - 1)*(2*t + 1)/2
Let l(m) = -6*m**3 + 3*m. Let w(h) = h**4 - 6*h**3 + h**2 + 4*h. Let i(a) = 4*l(a) - 3*w(a). Solve i(d) = 0 for d.
-1, 0
Let k(l) = -l**3 + 3*l**2 + 5. Let x be 9 + -7 + (-14)/2. Let i(q) = -q**3 + q**2 + 1. Let b(u) = x*i(u) + k(u). Solve b(j) = 0 for j.
0, 1/2
Let g(t) = 6*t**2 + 5*t - 6. Let h(o) = 3*o**2 - 4*o - 9. Let i(k) = 9*k**2 - 11*k - 26. Let j(a) = 17*h(a) - 6*i(a). Let c(s) = -2*g(s) - 5*j(s). Factor c(x).
3*(x - 1)*(x + 1)
Let s(l) = -l**4 - l**3 + 3*l**2 - 4*l + 8. Let y(v) = v**3 - v**2 - 1. Let r(m) = -s(m) - 5*y(m). Determine q so that r(q) = 0.
-1, 1, 3
Let r(w) be the second derivative of 2*w**6/25 + 16*w**5/25 + 29*w**4/15 + 8*w**3/3 + 8*w**2/5 + w - 20. Determine k so that r(k) = 0.
-2, -1, -1/3
Let z(p) = p - 10. Let y be z(8). Let r be (-1)/y - (-2)/(-12). Solve 1/3*s**2 + 2/3*s + r = 0 for s.
-1
Let b(t) be the first derivative of -t**3 + 3*t**2/2 + 6*t - 10. Solve b(q) = 0 for q.
-1, 2
Let p(w) = -5*w**5 + 2*w**4 - 2*w**3 + 2*w**2 + 7*w - 4. Let z(o) = o**5 - o**2 - o + 1. Let q(h) = p(h) + 6*z(h). Solve q(a) = 0.
-2, -1, 1
Suppose 0 = 2*a + 4*o - 26, 5*a + 5*o = 2*o + 30. Suppose a*t = 6*t. Factor -2/7*f**2 + t - 2/7*f.
-2*f*(f + 1)/7
Let o(h) be the second derivative of -3*h**5/190 - 5*h**4/114 - 2*h**3/57 + 24*h. Solve o(g) = 0 for g.
-1, -2/3, 0
Let x(z) be the first derivative of -2*z**3/27 - 8*z**2/9 - 32*z/9 - 20. Find y such that x(y) = 0.
-4
Let c = 3 - -7. Let p = -6 + c. Suppose -4 - p*i + 8*i + 0*i - i**2 = 0. Calculate i.
2
Let k(b) be the first derivative of 0*b**3 - 2*b + 0*b**4 + 1/80*b**5 - 2 + 1/120*b**6 + 0*b**2. Let t(h) be the first derivative of k(h). Factor t(j).
j**3*(j + 1)/4
Suppose 60 = 9*y + 24. Let l(d) be the first derivative of 27*d**5 + 4 + 0*d**2 - 18*d**y + 4*d**3 + 0*d - 25/2*d**6. Solve l(h) = 0 for h.
0, 2/5, 1
Find a, given that -24*a**3 + 0 - 6*a**2 - 39/2*a**4 - 9/2*a**5 + 0*a = 0.
-2, -1/3, 0
Let z(m) = m**2 - 4*m + 4. Let k be z(4). Let u be (-6)/k*(-1)/6. Solve -3/4*f + 1/4 + 3/4*f**2 - u*f**3 = 0.
1
Let a be -10*12/(-30) - 0. Factor 0*x**2 + 0*x - 2/3*x**5 + 1/2*x**a + 0 + 1/6*x**3.
-x**3*(x - 1)*(4*x + 1)/6
Let a = -28 - -32. Let x(t) be the first derivative of a - t**2 - 1/9*t**3 - 3*t. What is i in x(i) = 0?
-3
Let l(a) be the first derivative of -a**4/4 + 15*a**3 - 675*a**2/2 + 3375*a - 28. Find x such that l(x) = 0.
15
Let d(f) be the first derivative of -5*f + 8*f - 2*f**2 - 1 + f**4 - 3*f. Factor d(i).
4*i*(i - 1)*(i + 1)
Let y = -59/2 - -417/14. Let b = 3 - 0. Factor 0 - y*l**4 + 0*l - 2/7*l**b + 0*l**2.
-2*l**3*(l + 1)/7
Solve 0 - 2/21*r**2 - 8/21*r = 0 for r.
-4, 0
Let -123 + 10*w**2 + 2*w**4 + 123 + 12*w**3 = 0. Calculate w.
-5, -1, 0
Let u be 4/(-120)*5/(-10). Let i(y) be the second derivative of 0*y**2 + y - 1/18*y**4 + 0*y**3 - u*y**5 + 0. Factor i(k).
-k**2*(k + 2)/3
Let p = -1487/6 - -248. Factor p*h**2 + 2/3 - 1/6*h**4 + 4/3*h - 5/6*h**3 + 1/6*h**5.
(h - 2)**2*(h + 1)**3/6
What is j in -5 + 5*j**4 + 21*j**5 - 10*j**3 + 10*j**2 + 5*j - 16*j**5 - 10*j**4 = 0?
-1, 1
Let d(h) = 5*h**3 + 131*h**2 + 949*h + 2571. Let x(i) = i**3 + 26*i**2 + 190*i + 514. Let m(g) = 2*d(g) - 11*x(g). Let m(r) = 0. What is r?
-8
Let n be -1*(-2 - -6) - -4. Let f = 13 - 10. Factor 3/2*q**5 - 3*q**2 + 3*q**4 + n*q**f + 0 - 3/2*q.
3*q*(q - 1)*(q + 1)**3/2
Let g(v) be the first derivative of -v**5/30 + v**4/6 - v**3/6 - 20. Factor g(o).
-o**2*(o - 3)*(o - 1)/6
Let y(c) = -5*c + 45. Let a be y(9). Let o(b) be the second derivative of a - b**2 + 3/4*b**4 - 1/4*b**5 + 5/6*b**3 - 2*b - 7/30*b**6. Factor o(p).
-(p - 1)*(p + 1)**2*(7*p - 2)
Let s(z) be the second derivative of -z**7/2100 + z**6/900 + 7*z**3/6 + 5*z. Let r(v) be the second derivative of s(v). What is d in r(d) = 0?
0, 1
Factor 