 2. Factor o(x).
(x - 3)**2*(7*x + 2)/2
Let i = 0 + 4. Let h = 6 - i. Factor -h*w**2 + 4*w**3 + 2*w - 2*w**4 - 2*w.
-2*w**2*(w - 1)**2
Let o(m) be the third derivative of 25*m**8/336 - m**7/14 - m**6/12 + 17*m**2. Factor o(i).
5*i**3*(i - 1)*(5*i + 2)
Let f(t) be the third derivative of t**6/72 + t**5/12 - 5*t**4/72 - 5*t**3/6 + 12*t**2. Factor f(a).
5*(a - 1)*(a + 1)*(a + 3)/3
Let a(b) = 3*b**4 + 2*b**3 - 3*b**2. Let l(v) = -3*v**4 - 3*v**3 + 3*v**2. Let f(m) = 3*a(m) + 2*l(m). Suppose f(c) = 0. What is c?
-1, 0, 1
Let i be ((-2)/(-6))/(1/45). Solve 16*s + 24*s**2 - 4*s - 2*s**4 + 5*s**4 + i*s**3 = 0.
-2, -1, 0
Factor 2/3*t**3 + 0 - 1/3*t**4 - 2/3*t + 1/3*t**2.
-t*(t - 2)*(t - 1)*(t + 1)/3
Let r(w) be the second derivative of 3*w**5/20 + w**4/4 + 7*w. Find g, given that r(g) = 0.
-1, 0
Let k be (-68)/(-10) + 12/60. Let u(q) be the second derivative of 1/21*q**3 + 4/147*q**k - 3/70*q**5 + q - 4/105*q**6 + 1/21*q**4 + 0*q**2 + 0. Factor u(y).
2*y*(y - 1)**2*(2*y + 1)**2/7
Let z(v) be the third derivative of -v**7/945 - v**6/90 - v**5/30 - v**2. Suppose z(g) = 0. What is g?
-3, 0
Let u = -1465/9 - -163. Determine h, given that -u*h**3 + 0*h - 2/3*h**2 + 8/9 = 0.
-2, 1
Let f(n) = -4 - 2 - 18 - n**2 - 37*n - 18*n**2. Let q(s) = 9*s**2 + 18*s + 12. Let v(c) = -6*f(c) - 13*q(c). Solve v(a) = 0.
-2
Suppose -114 = 2*i + i. Let t be i/(-10) - (-3)/15. What is s in 4/5*s**3 + 0 + 0*s - 2/5*s**t - 2/5*s**2 = 0?
0, 1
Let l(m) be the first derivative of -m**6/2 + 12*m**5/5 - 3*m**4 - 2*m**3 + 15*m**2/2 - 6*m - 7. Find a such that l(a) = 0.
-1, 1, 2
Factor 1/6*v**5 + 0*v**3 + 0 - 1/6*v + 1/3*v**4 - 1/3*v**2.
v*(v - 1)*(v + 1)**3/6
Let p(w) be the first derivative of -3*w**4/2 - 2*w**3 + w**2/3 + 2*w/3 + 5. Determine x, given that p(x) = 0.
-1, -1/3, 1/3
Factor 0*u - u**3 - 27/8 + 9/4*u**2 + 1/8*u**4.
(u - 3)**3*(u + 1)/8
Let o(s) be the third derivative of -s**6/24 - s**5/3 - 25*s**4/24 - 5*s**3/3 + 11*s**2 + 2. Suppose o(h) = 0. Calculate h.
-2, -1
Let r be (108/(-480))/(3/(-4)). Let f(b) be the second derivative of -r*b**5 - 5/3*b**3 - 7/6*b**4 - 3*b + 0 - b**2. Factor f(j).
-2*(j + 1)**2*(3*j + 1)
Suppose 3*o + 1 = 7. Suppose -2*g - 2 = 2*a, 5 + o = 2*a - g. Factor -2*j**3 + 4*j**4 + 2*j**4 + 2*j**5 - 4*j**4 - a*j**2.
2*j**2*(j - 1)*(j + 1)**2
Suppose 3*r + 2*r - 14 = -4*v, -4*v = 2*r - 8. Let a(m) be the first derivative of -1/9*m**3 - 4/3*m - 2/3*m**r + 3. Factor a(w).
-(w + 2)**2/3
Let r(t) = 7*t**5 + 3*t**4 - 5*t**3 - 5*t**2 + 2*t. Let b(a) = 29*a**5 + 11*a**4 - 20*a**3 - 20*a**2 + 9*a. Let l(h) = 2*b(h) - 9*r(h). Factor l(p).
-5*p**2*(p - 1)*(p + 1)**2
Suppose -2*b + 2*t + 8 = 0, -2*t - 6 = -b + t. Let a(d) = 5*d**2 - 6*d + 8*d - b*d**2 - 4 + 8*d. Let g(w) = -w + 1. Let c(n) = -a(n) - 6*g(n). Factor c(h).
-2*(h + 1)**2
Let o(z) = -z**2 + 4. Let p(l) = 10 - 2*l**2 - 1 + 0. Let y(r) = 9*o(r) - 4*p(r). Let y(d) = 0. What is d?
0
Factor 2*o**3 - 18*o**2 - 26 + 16 + 10.
2*o**2*(o - 9)
Let n(o) be the first derivative of -2*o**3/21 + 2*o/7 - 4. What is p in n(p) = 0?
-1, 1
Let i(o) = -4*o. Let l be i(3). Let v = 14 + l. Factor 3/4*r**v - 3*r + 3.
3*(r - 2)**2/4
Suppose 0*l + 20 = -5*l. Let t be -1 - ((-2 - -4) + l). Factor -2*o**2 + o + 3*o - 1 - t.
-2*(o - 1)**2
Let f(m) be the third derivative of m**5/12 - 5*m**4/6 + 10*m**3/3 - 5*m**2. Factor f(i).
5*(i - 2)**2
Factor -2*o**2 - 4*o - o**4 + 2 - 4*o**2 - 3 - 4*o**3 + 0.
-(o + 1)**4
Suppose -6*r + 13*r = 0. Let q(j) be the first derivative of -1/12*j**4 + 1/18*j**6 + 1/9*j**3 + 3 - 1/15*j**5 + 0*j + r*j**2. Factor q(o).
o**2*(o - 1)**2*(o + 1)/3
Let x(g) be the first derivative of 4*g - 7 - 2*g**3 + g**2 + 2/5*g**5 - 1/2*g**4. Factor x(f).
2*(f - 2)*(f - 1)*(f + 1)**2
Suppose -3/2*r**2 + 9/2 + 15/4*r - 3/4*r**3 = 0. What is r?
-3, -1, 2
Let f(g) be the first derivative of 1/2*g**2 + 0*g - 4 - 1/6*g**3. Factor f(m).
-m*(m - 2)/2
Factor -4*t**4 + t**4 - 9*t**3 - 14*t + t**2 - 10*t**2 + 11*t.
-3*t*(t + 1)**3
Let z = -236 - -239. Let c be ((-4)/(-5))/(2/10). Factor -2/3*h**c + 0*h**z + 0 + 4/3*h + 2*h**2.
-2*h*(h - 2)*(h + 1)**2/3
Suppose 6 + 24 = -5*n. Let o be n/(-21) - (-38)/14. Find h such that 0*h + 0 - 2/3*h**2 + 0*h**o + 2/3*h**4 = 0.
-1, 0, 1
Let c(w) be the second derivative of -w**6/15 + 2*w**5/15 + 11*w**4/54 + 2*w**3/27 - 3*w. Suppose c(q) = 0. Calculate q.
-1/3, 0, 2
Let c(l) = -l**2 + 1. Let a(m) = -18*m**4 - 2*m**3 - 11*m**2 + 11. Let q(o) = 2*a(o) - 22*c(o). Find u, given that q(u) = 0.
-1/9, 0
Let s(k) = k**2 + 9*k + 1. Let f be s(-9). Let m(l) = 4 - 2 - 1. Let j(x) = -2*x**2 + 8*x - 12. Let g(n) = f*j(n) + 4*m(n). Factor g(i).
-2*(i - 2)**2
Suppose -y - 3*x = -0 - 14, 0 = -3*y + x + 2. Find g such that -2/7*g**3 + 6/7*g + 0*g**y - 4/7 = 0.
-2, 1
Let u(p) = 3*p**2 + p. Let z(r) = -19*r**2 - 6*r. Let x = -5 + -34. Let k(q) = x*u(q) - 6*z(q). Factor k(y).
-3*y*(y + 1)
Let x(h) be the first derivative of -h**5/45 - h**4/12 - h**3/27 + h**2/6 + 2*h/9 + 17. Factor x(j).
-(j - 1)*(j + 1)**2*(j + 2)/9
Let o = -6/85 + 301/3060. Let y(r) be the third derivative of -1/180*r**5 + o*r**4 - 2*r**2 + 0*r**3 + 0 + 0*r. Solve y(v) = 0.
0, 2
Let x = 18/145 - -8/29. Suppose -2/5*p**3 + x*p + 0 + 1/5*p**4 - 1/5*p**2 = 0. What is p?
-1, 0, 1, 2
Suppose 11 = 2*q + m, 7 = 3*m - 2. Suppose l - 3 = -4*w - 0*w, -4*l = 2*w - 12. Factor -q + w*j**2 + j + 5*j - 2*j**2.
-2*(j - 2)*(j - 1)
Let a(u) be the first derivative of -2*u**3/27 + 7*u**2/9 - 4*u/3 - 25. Solve a(h) = 0 for h.
1, 6
Let u(s) be the second derivative of -2*s**6/315 - s**5/42 + 5*s**3/63 + 2*s**2/21 + 36*s. Let u(f) = 0. Calculate f.
-2, -1, -1/2, 1
Let x(i) = 14*i**3 + 13*i**2 - i. Let k(v) = -7*v**3 - 7*v**2. Let m be 2/3*(-3 + 0). Let n(r) = m*x(r) - 5*k(r). Solve n(c) = 0.
-1, -2/7, 0
Let x = -9 - -7. Let i be x/6 + 21/9. Let -s - s - s**i + 2*s = 0. What is s?
0
Factor -12/7*r**2 + 3/7 - 9/7*r.
-3*(r + 1)*(4*r - 1)/7
Let w be (-135)/35 - -4 - 40/(-14). Factor 2/15*a**5 + 2/15*a**w + 0 - 4/15*a**4 + 0*a + 0*a**2.
2*a**3*(a - 1)**2/15
Let n(z) be the third derivative of -z**8/1680 + z**7/350 - z**6/200 + z**5/300 - 8*z**2. Factor n(t).
-t**2*(t - 1)**3/5
Let k(g) be the second derivative of g**7/189 + 2*g**6/135 + g**5/90 - g. Factor k(h).
2*h**3*(h + 1)**2/9
Let d be 4/132*303 + -7 + -2. Factor -2/11*s**2 + d + 0*s.
-2*(s - 1)*(s + 1)/11
Let z = 20680/7 - 2974. Let w = z - -20. Find l such that -8/7*l - 8/7*l**4 + w*l**5 + 8/7*l**2 + 6/7*l**3 + 0 = 0.
-1, 0, 1, 2
Let s be 9/162*(-18)/(-4). Suppose -1/4*q**3 - s + 1/4*q + 1/4*q**2 = 0. What is q?
-1, 1
Let j(f) be the first derivative of -2*f**5/35 - f**4/7 + 2*f**3/7 + 4*f**2/7 - 8*f/7 + 34. Factor j(u).
-2*(u - 1)**2*(u + 2)**2/7
Let c be ((-50)/(-100))/(3/8). Factor -1/3 + 4/3*q**3 + c*q - 2*q**2 - 1/3*q**4.
-(q - 1)**4/3
Let i(d) be the third derivative of d**6/90 - d**5/30 + 5*d**3/6 - 4*d**2. Let s(w) be the first derivative of i(w). Factor s(o).
4*o*(o - 1)
Let m = -12 + 10. Let l(y) = -y**3 + y**2 - 1. Let q(n) = n**3 - n**2 - 6*n - 2. Let s(d) = m*l(d) + q(d). Factor s(a).
3*a*(a - 2)*(a + 1)
Let w(d) = -14*d**4 + 8*d**3 + 14*d**2 + 26*d + 17. Let z(p) = 5*p**4 - 3*p**3 - 5*p**2 - 9*p - 6. Let x(i) = -6*w(i) - 17*z(i). Factor x(f).
-f*(f - 3)*(f - 1)*(f + 1)
Let q(r) be the second derivative of r - 1/60*r**6 + 0*r**3 + 0 + 0*r**4 + 0*r**2 + 1/40*r**5. Find i such that q(i) = 0.
0, 1
Let i be (2/(-3))/((-28)/63). Find s such that -i*s**2 + 3/2*s + 1/2*s**3 - 1/2 = 0.
1
Let z be (51/34)/((-6)/(-2)). Factor -k**3 + 0 - 1/2*k**4 - z*k**2 + 0*k.
-k**2*(k + 1)**2/2
Let g(j) be the first derivative of j**3/3 + j**2/2 - 4*j - 7. Let a be g(-3). Suppose -3/4*w**a - 3/4*w**3 + 0 + 0*w = 0. What is w?
-1, 0
Let m = 427/132 - -17/33. Solve -3*i**2 + 0 + m*i**3 + 9/4*i**4 - 3*i = 0 for i.
-2, -2/3, 0, 1
Let g(v) = v**2 - 7*v - 12. Let f be g(9). Let s be 2 + 8/(2 - f). Suppose 0 + 1/2*u**2 + 1/2*u**5 - 1/2*u**4 - 1/2*u**3 + s*u = 0. What is u?
-1, 0, 1
Let n(y) be the third derivative of -3*y**8/112 - y**7/14 - y**6/40 + y**5/20 - y**2. Factor n(v).
-3*v**2*(v + 1)**2*(3*v - 1)
Let x be 9/6*16/3. Let m(p) = p - 3. Let d be m(x). Factor -3*r + 4*r + 6*r**4 - 4*r + 3*r**d - 6*r**2.
3*r*(r - 1)*(r + 1)**3
Let i(u) = 3*u**4 + 7*u**3 - 9*u**2 - 21*u - 10. Let c(h) = -h**5 - h**3 - h**2 + 1. Let z(t) = -