2. Factor o(g).
(g - 2)**2*(g + 1)
Let n = 372421/180 - 2069. Let o(b) be the third derivative of 0 + 0*b - n*b**6 + 0*b**4 + 0*b**3 + 1/180*b**5 + 3*b**2. Factor o(c).
-c**2*(2*c - 1)/3
Let w(q) be the third derivative of -q**6/210 - q**5/21 + q**4/42 + 10*q**3/21 - 37*q**2. Factor w(j).
-4*(j - 1)*(j + 1)*(j + 5)/7
Let p(g) be the second derivative of g**5/110 + g**4/6 + 19*g**3/33 + 9*g**2/11 + 6*g. Factor p(j).
2*(j + 1)**2*(j + 9)/11
Let k = -572 + 5150/9. Let k*y - 2/9 + 2/9*y**2 - 2/9*y**3 = 0. What is y?
-1, 1
Let u(f) be the second derivative of f**7/18 + f**6/45 - 37*f. Factor u(b).
b**4*(7*b + 2)/3
Let r(c) be the third derivative of c**8/3360 + c**7/1260 + c**4/12 - 3*c**2. Let x(p) be the second derivative of r(p). Solve x(b) = 0 for b.
-1, 0
Let a = -5 + 10. Suppose -a = m + 3*s, -m + 4*s = m - 20. Factor -8*k**m - 4*k**3 - 6*k**3 + 2*k**2 + 4*k**3.
-2*k**2*(k + 1)*(4*k - 1)
Let r be (0 - (-2 - 2))/11. Solve -2/11 + 14/11*i**3 - 18/11*i**2 + 10/11*i - r*i**4 = 0 for i.
1/2, 1
Let c(y) be the second derivative of y**5/100 - 7*y**4/60 + y**3/2 - 9*y**2/10 + 17*y. Let c(m) = 0. Calculate m.
1, 3
Let a be (2 + -3 + 2)*4. Let k = 16 + -13. Factor -h + 7*h**a + 2*h**2 - 1 + 2*h**5 + 0*h**5 + 8*h**k - h.
(h + 1)**4*(2*h - 1)
Let k(q) be the second derivative of 0*q**2 + 0*q**3 - 1/60*q**6 + q - 1/40*q**5 + 1/84*q**7 + 0 + 1/24*q**4. Factor k(l).
l**2*(l - 1)**2*(l + 1)/2
Let t(y) be the first derivative of -2*y**5/45 + y**4/9 - 2*y**2/9 + 2*y/9 + 33. Factor t(g).
-2*(g - 1)**3*(g + 1)/9
Suppose -3*j = -t - 8, -4*j + t + 14 = j. Let u(m) be the second derivative of 3*m - 1/24*m**4 - 9/4*m**2 + 0 - 1/2*m**j. Factor u(n).
-(n + 3)**2/2
Suppose 2*b + 6 = 0, -3*y + y - 2*b = 0. What is i in -1/5*i**y - 1/5*i**2 + 1/5*i + 1/5 = 0?
-1, 1
Let u(k) = -6*k**4 + 7*k**3. Let y(x) = -x**4 + x**3. Let h(s) = 2*u(s) - 10*y(s). Factor h(q).
-2*q**3*(q - 2)
Let p(t) be the first derivative of -t**9/896 - 9*t**8/2240 - 3*t**7/560 - t**6/360 + t**3/3 - 4. Let c(i) be the third derivative of p(i). Solve c(j) = 0.
-2/3, 0
Let x(s) be the second derivative of 0*s**5 + 0 + 0*s**3 + 1/60*s**4 - 1/150*s**6 - 2*s + 0*s**2. Determine l so that x(l) = 0.
-1, 0, 1
Let 0 + 0*z + 0*z**2 - 3/5*z**4 + 6/5*z**3 = 0. What is z?
0, 2
Suppose 6 + 9 = 5*h. Let z = 8 + -5. Factor -7*r**h + 0*r + 3*r**3 - r - 5*r**z - 6*r**2.
-r*(3*r + 1)**2
Let f be 4 + (-7)/2 - (2 - 2). Factor -z - 1/2 - f*z**2.
-(z + 1)**2/2
Let w(a) = 5*a**3 - 4*a**2 - 9*a. Let p be (-12)/16 + 10/(-8). Let v(g) = 24*g**3 - 21*g**2 - 46*g - 1. Let k(u) = p*v(u) + 11*w(u). Factor k(s).
(s - 1)*(s + 1)*(7*s - 2)
Suppose -j = 2*j - 2*k - 2, -3*j + k = -1. Determine m, given that 1/2 - m**2 + 0*m + 1/2*m**4 + j*m**3 = 0.
-1, 1
Let u = -17 + 11. Let c be -1 - 2*9/u. Suppose f + 0*f + 3*f + 2*f**c = 0. What is f?
-2, 0
Let b = 59/185 + 3/37. Suppose -o + 2 + 0 = 0. Solve -2/5*j - 4/5 + b*j**o = 0.
-1, 2
What is j in -160/7*j - 16/7 + 484/7*j**3 - 44*j**2 = 0?
-2/11, 1
Let k(t) be the first derivative of -2*t**5/35 + 4*t**3/7 - 8*t**2/7 + 6*t/7 + 18. Suppose k(m) = 0. Calculate m.
-3, 1
Let d(i) = i**4 + i + 1. Let r(g) = 4*g**5 + g**4 - 4*g**3 - 4*g**2 - 3*g - 3. Let x(s) = -3*d(s) - r(s). Factor x(w).
-4*w**2*(w - 1)*(w + 1)**2
Let d = 7 - 0. Solve -1 - 5*b**2 - 20*b - 7 - d*b**2 + 0 = 0.
-1, -2/3
Let g(w) be the third derivative of -w**5/20 + 4*w**2. Let p(y) = 4*y**2 - y + 1. Let z(h) = 5*g(h) + 4*p(h). Find n such that z(n) = 0.
2
Let r(f) be the third derivative of -f**7/8820 - f**6/630 - f**5/105 - 5*f**4/24 - 6*f**2. Let q(g) be the second derivative of r(g). Let q(l) = 0. What is l?
-2
Let v(g) be the second derivative of g**6/540 + 2*g**5/135 + 5*g**4/108 + 2*g**3/27 + g**2 - 2*g. Let h(s) be the first derivative of v(s). Factor h(t).
2*(t + 1)**2*(t + 2)/9
Let s(c) = 9*c**4 - 29*c**3 - 42*c**2 - 27*c - 12. Let w(x) = -x**4 + x**3 - x. Let a(u) = -2*s(u) - 22*w(u). Factor a(h).
4*(h + 1)**3*(h + 6)
Let s(w) = 2*w**4 + 7*w**3 - w**2 - 7*w + 9. Let k(g) = -2*g**4 - 8*g**3 + 8*g - 10. Let q(p) = -5*k(p) - 6*s(p). Factor q(r).
-2*(r - 1)**2*(r + 1)*(r + 2)
Factor -3*t - 49*t**3 + 0*t**4 + 2*t - 3*t**2 + 46*t**3 - t**4.
-t*(t + 1)**3
Let s be 2/3 + ((-4)/4)/6. Factor -s*k**2 + 1/2*k**3 + 0 + 0*k.
k**2*(k - 1)/2
Let 0 - 3*u - 3/4*u**2 = 0. Calculate u.
-4, 0
Let -2/7 - 8/21*b - 2/21*b**2 = 0. Calculate b.
-3, -1
Let f(t) be the second derivative of 2*t**6/15 - 2*t**5/5 - t**4/3 + 4*t**3/3 + 5*t. Factor f(u).
4*u*(u - 2)*(u - 1)*(u + 1)
Let x be 1/(-3) - (-114)/18. Factor 1 - 3 - x*i + 0 + 3*i**2 + 5.
3*(i - 1)**2
Let n(q) = -2*q**2 - q - 3. Suppose 0 = -2*m - 17 - 5. Let d(f) = -3 - 2*f - 4 - 5*f**2 - 1. Let u(g) = m*n(g) + 4*d(g). Factor u(s).
(s + 1)*(2*s + 1)
Suppose -11*g = -3*g. Let x(s) be the second derivative of 0*s**3 - 2*s + 0*s**2 + g - 1/48*s**4. Factor x(i).
-i**2/4
Factor -192 + 23*g + 35*g - 3*g**2 - 10*g.
-3*(g - 8)**2
Let w = 2 + 0. Solve 2*c**2 - 6*c**2 + 0*c**4 + 2*c**5 - w*c + c**4 + 3*c**4 = 0 for c.
-1, 0, 1
Let h(p) be the second derivative of 0 + 2/5*p**2 + 2*p + 11/15*p**3 + 3/10*p**4. Solve h(g) = 0 for g.
-1, -2/9
Let p(v) be the first derivative of v**8/120 - v**7/84 - v**6/90 - 2*v**3/3 + 3. Let s(c) be the third derivative of p(c). Determine d so that s(d) = 0.
-2/7, 0, 1
Let c(g) be the second derivative of -g**7/63 + 2*g**6/45 + g**5/30 - g**4/9 - 6*g. What is q in c(q) = 0?
-1, 0, 1, 2
Let j(p) be the second derivative of p**4/78 - 2*p**3/13 + 9*p**2/13 - 12*p. Factor j(d).
2*(d - 3)**2/13
Let u = -7 - -9. Factor 0*b**2 - 2*b**4 + 2*b**3 - 6*b**3 - 2*b**u.
-2*b**2*(b + 1)**2
Solve -a + 1/2*a**2 + 1/2 = 0.
1
Let j be ((-4)/12 - 0)*0. Suppose j*a = -7*a. Let -2/9*c**4 - 2/3*c**2 - 2/3*c**3 + a - 2/9*c = 0. What is c?
-1, 0
Let a(t) be the first derivative of -t**3/3 + 4*t**2 - 16*t - 2. Factor a(r).
-(r - 4)**2
Let d(s) be the third derivative of s**6/120 - s**5/20 + s**4/8 - s**3/6 - 6*s**2. Factor d(z).
(z - 1)**3
Let h(t) = -12*t**2 - 16*t - 12. Suppose -19 = -5*c + 21. Let l(d) = -d**2 - d - 1. Let s(i) = c*l(i) - h(i). Determine j, given that s(j) = 0.
-1
Suppose 21/5*m**4 + 0 + 0*m - 6/5*m**2 - 3*m**3 = 0. Calculate m.
-2/7, 0, 1
Let v(b) = -b**3 - 11*b**2 + 11*b - 10. Let t be v(-12). Determine c, given that 0*c**2 - 2*c**4 + 2*c + c**2 - c**2 + 6*c**3 - 6*c**t = 0.
0, 1
Let d(x) = -x**3 + 4*x**2 - 3*x + 1. Let m be d(2). Let g = -7/3 + m. Solve 4*u**2 + g - 8/3*u**3 - 8/3*u + 2/3*u**4 = 0.
1
Let n = 36 + -28. Let o(r) be the first derivative of -4*r + n*r**2 - 1 - 7/3*r**3. Determine y so that o(y) = 0.
2/7, 2
Factor 23*a**3 - 4 - 42*a**2 + 0*a**2 - 8*a**4 + 7*a**3 + 26*a - 2.
-2*(a - 1)**3*(4*a - 3)
What is n in 2/11*n + 0 + 2/11*n**4 - 2/11*n**3 - 2/11*n**2 = 0?
-1, 0, 1
Let q(w) be the second derivative of 0 - 2/3*w**2 + 1/3*w**3 - 1/18*w**4 + 2*w. Factor q(a).
-2*(a - 2)*(a - 1)/3
Let z(h) be the third derivative of -2*h**7/735 - h**6/70 - h**5/35 - h**4/42 - h**3 - 6*h**2. Let s(x) be the first derivative of z(x). Factor s(i).
-4*(i + 1)**2*(4*i + 1)/7
Let l(n) be the third derivative of n**8/4480 + n**7/5040 - n**6/180 + n**5/60 - n**4/6 + 4*n**2. Let o(d) be the second derivative of l(d). Factor o(s).
(s - 1)*(s + 2)*(3*s - 2)/2
Suppose -5*u + 4*h - 1 - 7 = 0, 0 = 3*u - 4*h. Let d be (-4)/(-10) + u/10. Factor 1/2*t**2 + 0 + 5/4*t**4 + d*t - 7/4*t**3.
t**2*(t - 1)*(5*t - 2)/4
Let n(o) = o**2 + o + 1. Let u(q) = -3*q**2 - 3*q - 3. Let z(a) = -4*n(a) - u(a). Let v(w) = -12*w**2 - 12*w - 6. Let k(g) = v(g) - 10*z(g). Factor k(d).
-2*(d - 1)*(d + 2)
Suppose -2*b = 3*b - 15. Suppose -b*l = -6, -3*l + 10 = 5*r - 6. Factor 2*a + 1 - 6*a - 3 - r*a**2.
-2*(a + 1)**2
Find h, given that -1/4*h**2 + 3/4*h - 3/4*h**3 - 1/4*h**4 + 1/2 = 0.
-2, -1, 1
Factor -4/5*p + 4/5*p**3 + 0*p**2 + 2/5*p**4 - 2/5.
2*(p - 1)*(p + 1)**3/5
Let s = -8 + 8. Let a(y) be the first derivative of 0*y**2 + 1/4*y**4 + 0*y**3 + s*y + 2. Suppose a(j) = 0. Calculate j.
0
Let t = 16 - 10. Factor 4*k**2 - t*k**2 + 1 - 2*k**4 + 3*k**4.
(k - 1)**2*(k + 1)**2
Let k be 1/(-4)*-23 - (-11)/44. Solve 3/2*j**3 + k*j - 6*j**2 + 0 = 0 for j.
0, 2
Factor 2*v**3 + 2/3*v - 2*v**2 - 2/3*v**4 + 0.
-2*v*(v - 1)**3/3
Suppose -5*l = -5*j + 75, 5*l + 1 + 2 = -j. Suppose u**2 + j*u + u**2 - 10*u = 0. Calculate u.
-1, 0
Let