 - 2/9*g + 2/9*g**3.
-g*(g - 2)*(g - 1)*(g + 1)/9
Let j(x) be the first derivative of x**5/5 - x**4/2 - 20*x**3/3 + 33*x**2 - 45*x + 13. Factor j(k).
(k - 3)**2*(k - 1)*(k + 5)
Let z = 6 - 4. Let j be 0/(z + (-4 - -3)). Factor -f**2 + 0*f**2 + 0*f**2 + 3*f + j*f**2.
-f*(f - 3)
Let q(v) be the second derivative of -v**4/114 + 11*v**3/57 - 24*v**2/19 + 68*v. Solve q(m) = 0 for m.
3, 8
Let d be (36/96)/(86/1684). Let r = d - -39/43. Let r*s**3 - 27/4*s**2 + 3/4*s - 3*s**4 + 3/4 = 0. What is s?
-1/4, 1
Let i be (-20)/(-12) + (1/6 - (-4)/24). Determine w, given that 5*w + 2/3 + 11*w**i + 3*w**4 + 29/3*w**3 = 0.
-1, -2/9
Let b = -93 - -1954/21. Let z(l) be the third derivative of -b*l**3 + 8*l**2 + 0*l + 0 + 1/420*l**6 - 1/70*l**5 + 1/28*l**4. Factor z(p).
2*(p - 1)**3/7
Let 0 - 2/5*k + 2/5*k**2 = 0. What is k?
0, 1
Let h(z) be the second derivative of 1/6*z**4 - 7*z + z**2 + 0 - 2/3*z**3. Factor h(c).
2*(c - 1)**2
Suppose 8*m**2 - 45*m**3 + 50 + 49*m**2 + 102*m**2 + 5*m**4 - 4*m - 131*m - 34*m**2 = 0. Calculate m.
1, 2, 5
Suppose -2*u**5 - 25*u**2 + 36*u**3 + u**2 - 10*u**2 - 6*u**4 + 12*u + 0*u**5 - 6*u**3 = 0. Calculate u.
-6, 0, 1
Let f(d) = -d**5 - 25*d**4 - 72*d**3 - 85*d**2 - 58*d - 12. Let k(w) = 24*w**4 + 72*w**3 + 84*w**2 + 60*w + 12. Let y(z) = 4*f(z) + 3*k(z). Solve y(b) = 0.
-3, -1
Let m = -172 - -174. Let v be (-2)/(-3) - (-201)/9. Factor 3*z - 20 - 3*z**3 - 3*z**m + v - 2*z + 2*z.
-3*(z - 1)*(z + 1)**2
Let u be -12*((-728)/48 + 15). Let 2/13*b**u + 18/13 + 12/13*b = 0. Calculate b.
-3
Let x(k) = -26*k**2 - 9*k + 5. Let i(c) = 2*c**2 - c + 1. Let y(z) = 3*i(z) + x(z). Factor y(s).
-4*(s + 1)*(5*s - 2)
Let o = -131/7 - -19. Let z(n) = n**3 - 17*n**2 + 42*n. Let t be z(14). Factor 0 + t*p**4 + 16/7*p**2 + o*p**5 - 6/7*p - 12/7*p**3.
2*p*(p - 1)**3*(p + 3)/7
Let h(m) be the first derivative of 2/3*m**3 + 9 + 0*m + 0*m**2. Factor h(f).
2*f**2
Let x(b) be the first derivative of b**8/896 - b**7/280 + b**5/80 - b**4/64 + 3*b**2/2 + 10. Let t(f) be the second derivative of x(f). Factor t(m).
3*m*(m - 1)**3*(m + 1)/8
Let h = 13 - 9. Solve -10 + 2 - h + 2 - 5*l**2 + 15*l = 0 for l.
1, 2
Let -18/5*a**2 + 32/5 - 14/5*a = 0. Calculate a.
-16/9, 1
Suppose 0 = -3*a - 2*n + 17, -5*a - 3*n + 3 = -6*n. What is h in -2*h**2 - a*h**3 - h + 4*h**3 - 2*h**3 = 0?
-1, 0
Suppose -2/7*v**2 - 2/7*v**3 + 24/7 + 16/7*v = 0. What is v?
-2, 3
Let u be 26/(-40) + (-378)/(-168). Find y, given that -u*y + 0 + 2/5*y**5 + 6/5*y**3 - 8/5*y**2 + 8/5*y**4 = 0.
-2, -1, 0, 1
Let h(d) = -6*d**4 - 18*d**3 + 21*d + 18. Let r(g) = g**3 + g**2 - 1. Let c(p) = -h(p) - 9*r(p). Factor c(l).
3*(l + 1)**3*(2*l - 3)
Factor -9/7*l + 1/7*l**2 - 22/7.
(l - 11)*(l + 2)/7
Let k(c) be the third derivative of c**7/1400 - c**6/150 + c**5/40 - c**4/20 + 4*c**3/3 + 14*c**2. Let s(y) be the first derivative of k(y). Factor s(w).
3*(w - 2)*(w - 1)**2/5
Let k(f) be the third derivative of f**6/60 + 23*f**5/10 - 47*f**4/4 + 71*f**3/3 - 165*f**2. Factor k(u).
2*(u - 1)**2*(u + 71)
Let m(n) be the third derivative of n**8/1344 + 11*n**7/210 + 121*n**6/80 + 1331*n**5/60 + 14641*n**4/96 - 5*n**2 + 2. Factor m(d).
d*(d + 11)**4/4
Solve -2/3*d**4 + 0*d - 4/3*d**3 + 0 + 2*d**2 = 0.
-3, 0, 1
Factor 11*y - 131*y**4 + 28*y**2 + 135*y**4 + 64 - 64 - 2*y**5 + 24*y**3 - y.
-2*y*(y - 5)*(y + 1)**3
Let w(u) = 2*u**2 - 46*u - 2. Let v(f) = -2*f**2 + 48*f + 3. Let c(n) = 4*v(n) + 6*w(n). Factor c(l).
4*l*(l - 21)
Let u(q) be the third derivative of -13*q**8/15680 - q**7/245 + q**6/420 + 29*q**4/24 - 3*q**2. Let k(f) be the second derivative of u(f). Factor k(t).
-3*t*(t + 2)*(13*t - 2)/7
Let v(c) be the third derivative of -1/33*c**4 + 0*c + 4/33*c**3 + 44*c**2 + 1/330*c**5 + 0. Factor v(y).
2*(y - 2)**2/11
Let r = 20047/35070 + -1/5010. Factor 0 + r*j - 4/7*j**2.
-4*j*(j - 1)/7
Let m(b) = -b**3 + 5*b**2 + 2. Let x be m(5). Suppose -2*i + 6 = x. Factor -2*a**2 - 2*a**i + 5*a - 4 + 6*a**2 - 3*a.
2*(a - 1)*(a + 2)
Let u be (3 - (5 - (-3 + 4))) + 1. Factor 0*n**3 - 1/4*n**4 + u*n + 0 + 1/4*n**2.
-n**2*(n - 1)*(n + 1)/4
Let r = -155 + 199. Let b be (-24)/18 - r/(-15). Factor b*s**2 + 0 - 2/5*s - 6/5*s**3.
-2*s*(s - 1)*(3*s - 1)/5
Let q(x) be the first derivative of 0*x + 1/21*x**3 - 7*x**2 + 1/210*x**5 - 1/42*x**4 + 8. Let c(s) be the second derivative of q(s). Factor c(i).
2*(i - 1)**2/7
Let l(o) be the first derivative of -o**6/21 + 12*o**5/35 - 6*o**4/7 + 16*o**3/21 + 277. Factor l(s).
-2*s**2*(s - 2)**3/7
Let d be 4/8*(-4 + 10). Let p be -20 - 2/(1 + 1). Let i(w) = w**2 - 22*w. Let s(f) = -3*f. Let b(x) = d*i(x) + p*s(x). Factor b(j).
3*j*(j - 1)
Let n = -215143/7 + 30598. Let j = n + 137. What is f in 0*f + 0 + j*f**3 + 2/7*f**4 - 4/7*f**2 = 0?
-2, 0, 1
Suppose v - 125 = 4*j, 3*j = j + 5*v - 67. Let b = j - -36. Factor 1/2*x**3 + 1/2*x**2 - 1/4*x**b - 1/4*x**4 - 1/4 - 1/4*x.
-(x - 1)**2*(x + 1)**3/4
Let x(t) be the third derivative of -1/12*t**4 - 2/5*t**3 - 1/150*t**5 + 0*t + t**2 + 0. Let x(h) = 0. Calculate h.
-3, -2
Let o be ((-240)/(-330))/(4/22). Let -2/9*m**2 + 0 + 2/9*m + 4/9*m**5 + 2/9*m**o - 2/3*m**3 = 0. What is m?
-1, 0, 1/2, 1
Suppose 0 = -28*u + 26*u + 8. Suppose -u*p + 11 = -5. Factor 0 - 4/5*x**2 - 2/5*x**5 - 2*x**3 + 0*x - 8/5*x**p.
-2*x**2*(x + 1)**2*(x + 2)/5
Let n = -26 + 2. Let z = n + 24. Let z + 0*i**2 + 1/5*i**4 + 0*i + 0*i**3 = 0. What is i?
0
Let f = -500 + 326. Let y = f - -178. Solve 4/3*x**3 + 0 + 2/3*x**2 + 0*x + 2/3*x**y = 0 for x.
-1, 0
Let p be -14 + 210/26 + 7. Factor -6/13 - p*g - 8/13*g**2.
-2*(g + 1)*(4*g + 3)/13
Let b(w) = -w**5 + w**3 - w**2 + 2. Let p(g) = 15*g**5 - 15*g**4 + 75*g**3 - 111*g**2 + 54*g - 36. Let d(h) = 18*b(h) + p(h). Solve d(j) = 0 for j.
-9, 0, 1, 2
Let j be (-1)/2 + 14/4. Factor -8*c**3 + c + 7*c - 2 + 0*c**j + 2*c**2.
-2*(c - 1)*(c + 1)*(4*c - 1)
Let h be 492/451 + 338/154. Let w**2 + 6/7 - h*w = 0. Calculate w.
2/7, 3
Let a(p) be the first derivative of p**5/15 - p**4/12 - p**3/3 + p**2/6 + 2*p/3 - 1. Solve a(z) = 0.
-1, 1, 2
Let a(d) be the second derivative of d**7/252 + d**6/60 + d**5/40 + d**4/72 - 28*d + 2. Factor a(p).
p**2*(p + 1)**3/6
Let y(g) = 9*g**3 + 4*g**2 - 5*g + 2. Let v be y(1). Let i be ((-4)/v)/(8 + 348/(-30)). Factor 0*p + 0*p**2 - i*p**4 - 1/9*p**3 + 0.
-p**3*(p + 1)/9
Let p(a) = -a**3 + 6*a**2 - 22*a + 132. Let c be p(6). Factor -8/3*k**4 + c*k + 4/3*k**3 + 0*k**2 + 0 + 4/3*k**5.
4*k**3*(k - 1)**2/3
Let b = -12/5 + 41/15. Let h be -2*(-6)/(-20) - (-5206)/4110. Factor b*s**2 + h*s + 1/3.
(s + 1)**2/3
Let w(o) be the third derivative of -o**9/15120 - o**8/2520 - o**7/1260 + o**5/5 - 15*o**2. Let r(p) be the third derivative of w(p). Factor r(f).
-4*f*(f + 1)**2
Determine r so that 224*r**2 - 112*r**2 - 116*r**2 - 68*r = 0.
-17, 0
Let n(h) be the second derivative of -h**5/40 + h**4/8 + h**3/3 - 3*h**2 - 37*h. Factor n(m).
-(m - 3)*(m - 2)*(m + 2)/2
Let o(a) = 3*a + 40. Let j be o(-12). Let p(m) be the first derivative of m**j + m**2 - 3 + 0*m - 5/3*m**3 - 1/5*m**5. Solve p(i) = 0.
0, 1, 2
Let t(i) be the third derivative of -i**5/240 + 7*i**4/48 + 10*i**2 - 5. Let t(l) = 0. What is l?
0, 14
Let v(y) be the first derivative of 0*y**2 + 0*y - 13/10*y**4 - 40 - 2/3*y**3 - 1/10*y**5. Factor v(n).
-n**2*(n + 10)*(5*n + 2)/10
Let i be 1*1/(2 - 15/10). Let j(b) be the third derivative of -5/8*b**4 - 1/2*b**3 - i*b**2 - 1/35*b**7 + 0*b + 0 - 7/40*b**6 - 9/20*b**5. Solve j(y) = 0.
-1, -1/2
Let s(n) = -41*n - 214. Let k be s(-6). Let v(y) be the second derivative of -1/3*y**4 + 16/3*y**3 - k*y**2 + 0 - 6*y. What is x in v(x) = 0?
4
Factor -1/3*j**2 + 1/3*j**3 + 4/3 - 4/3*j.
(j - 2)*(j - 1)*(j + 2)/3
Let s(r) be the second derivative of 4*r - 1/20*r**5 - 1/6*r**3 + 0 + 1/6*r**4 + 0*r**2. Let s(v) = 0. What is v?
0, 1
Let w(b) = 4*b**2 - 6. Let v(g) = g**3 + 8*g**2 - g - 13. Let c(i) = -2*i**2 + i - 2. Let f be c(0). Let l(n) = f*v(n) + 5*w(n). Factor l(a).
-2*(a - 2)*(a - 1)*(a + 1)
Let w = 2839/11682 - 27/1298. Factor 0 - w*v**3 + 2/9*v**4 + 0*v + 2/9*v**5 - 2/9*v**2.
2*v**2*(v - 1)*(v + 1)**2/9
Let b = 5101/5 - 1013. Solve 2/5*p**3 + 42/5*p - b - 16/5*p**2 = 0.
2, 3
Let v be 5/6*(42/6 - 1). Let o(u) be the first derivative of -v + 0*u - 1/4*u**2 + 1/12*u**3. Solve o(l) = 0.
0, 2
Let m(g) = -g**2 - 3. Let z(p) = 2*p**2 + 3. Suppose r + 5*c -