5*g - 5. Let z(q) = q**3 - 12*q**2 + 23*q + 2. Let t(y) = -2*w(y) - 5*z(y). Factor t(b).
-b*(b - 5)**2
Let o = -55271/84 + 658. Let j(y) be the second derivative of 0*y**6 + 0*y**2 + 0*y**4 + 0*y**3 - o*y**7 - y + 0 + 1/40*y**5. Factor j(z).
-z**3*(z - 1)*(z + 1)/2
Suppose -d + 4 + 1 = 0, -3*l - 5 = -4*d. Suppose 0 = -l*k + 4 + 6. Factor 2*o - k*o**2 + o + 14*o**2.
3*o*(4*o + 1)
Let t(a) be the second derivative of 3*a**5/20 + 3*a**4/4 + a**3 + 15*a. Factor t(u).
3*u*(u + 1)*(u + 2)
Factor 0 - 4/5*d + 0*d**3 - 2/5*d**4 + 6/5*d**2.
-2*d*(d - 1)**2*(d + 2)/5
Let h(g) be the second derivative of g**7/42 - g**6/30 - g**5/20 + g**4/12 + g + 54. Factor h(x).
x**2*(x - 1)**2*(x + 1)
What is u in 3/4*u + 0 + 3/2*u**4 - 3/4*u**5 + 0*u**3 - 3/2*u**2 = 0?
-1, 0, 1
Suppose -5*h + h = 0. Suppose 5*p - 2 - 8 = 0, 3*n + 4*p - 8 = h. Factor -1/3*w + n + 1/3*w**2.
w*(w - 1)/3
Let p(d) be the third derivative of -d**5/60 + d**4/12 - d**3/6 + 2*d**2. Factor p(x).
-(x - 1)**2
Let y(m) be the first derivative of -m**6/6 + m**4 - 2*m**3/3 - 3*m**2/2 + 2*m + 26. Suppose y(f) = 0. What is f?
-2, -1, 1
Let p(m) be the second derivative of -m**4/30 + m**2/5 - 6*m. Factor p(y).
-2*(y - 1)*(y + 1)/5
Let d(g) be the first derivative of g**3/12 + 3*g**2/8 - g + 11. Determine f so that d(f) = 0.
-4, 1
Let j(w) be the first derivative of -w**4/22 + 2*w**3/33 + w**2/11 - 2*w/11 + 8. Suppose j(d) = 0. Calculate d.
-1, 1
Let 1/2*i**3 + 0*i + 1/4*i**2 + 1/4*i**4 + 0 = 0. Calculate i.
-1, 0
Let n(m) be the third derivative of -m**7/42 + m**6/24 - 6*m**2. Suppose n(d) = 0. What is d?
0, 1
Let q = -19 + 21. Suppose -3*h = q*h. Suppose -1/2 + s - s**3 + h*s**2 + 1/2*s**4 = 0. Calculate s.
-1, 1
Find r, given that 0 + 10*r**2 + 6/5*r + 112/5*r**3 + 32/5*r**4 = 0.
-3, -1/4, 0
Let w = 14 - 9. Suppose -4 = j - 2*p, -5*j + 0*j - w*p + 10 = 0. Let j*k + 0*k**3 + 6/5*k**2 - 3/5 - 3/5*k**4 = 0. What is k?
-1, 1
Let o be 1*3 - (41 - 41). Factor 2/3*y**5 + 4/3 + 16/3*y**2 - 4/3*y**4 - 4/3*y**o - 14/3*y.
2*(y - 1)**4*(y + 2)/3
Suppose 4*a + 20 = 3*n, -4*a = 3*n - 3*a - 25. Determine g, given that -17*g - n*g**2 + 4*g**4 + 27*g + 12*g**3 - 58*g - 32 = 0.
-2, -1, 2
Let w(m) be the first derivative of -4*m**5/5 - m**4 + 4*m**3/3 + 2*m**2 + 9. Solve w(o) = 0 for o.
-1, 0, 1
Let n be ((-4)/18)/(11/(-11)). Factor -4/9*r**2 + 2/9*r + 0 + n*r**3.
2*r*(r - 1)**2/9
Suppose 3*g = -48*g. Suppose -18/7*c**2 - 4/7*c + g = 0. Calculate c.
-2/9, 0
Let i be (-166)/24 - -3 - -4. Let w(b) be the second derivative of -1/60*b**5 + 0 + i*b**4 - 1/6*b**3 - 3*b + 1/6*b**2. Factor w(s).
-(s - 1)**3/3
Let d(a) = 3*a**2 + a. Let w be d(-1). Let o(b) be the first derivative of 2 + 0*b + 0*b**3 - 1/10*b**4 - 2/25*b**5 + 0*b**w. Factor o(n).
-2*n**3*(n + 1)/5
Let h(n) be the third derivative of -n**2 - 1/15*n**5 + 0 - 6*n**3 + 0*n + n**4. Solve h(l) = 0.
3
Let c(h) be the third derivative of 1/24*h**4 + 0*h**3 + 1/360*h**6 + 0 - 1/45*h**5 + 7*h**2 + 0*h. Factor c(k).
k*(k - 3)*(k - 1)/3
Let r(x) = -x**3 + 9*x**2 - 2*x + 18. Let u be r(9). Suppose u = 4*n - 25 + 17. Let 0*b**n + 0*b + 0 + 2/5*b**3 = 0. Calculate b.
0
Let c be (4 + 2 + 1)*-1. Let t be (-23)/c + (-2)/7. Find u such that -8/5*u**2 - u**t - 1/5*u**4 + 0 - 4/5*u = 0.
-2, -1, 0
Let s(m) be the first derivative of -m**6/10 - 3*m**5/25 + 3*m**4/10 - 7. Let s(f) = 0. Calculate f.
-2, 0, 1
Let z be 1/(-2)*((-24)/9 - -2). Factor 1/3*j**5 + z*j**2 - 1/3*j**4 + 0 + 0*j - 1/3*j**3.
j**2*(j - 1)**2*(j + 1)/3
Let b = 92/5 + -18. Let o(r) be the first derivative of 2 + 2/5*r**2 - b*r - 2/15*r**3. Factor o(v).
-2*(v - 1)**2/5
Let i(x) be the second derivative of -5*x**4/12 - 10*x**3/3 - 10*x**2 - 5*x. Factor i(f).
-5*(f + 2)**2
Let o(i) = -5*i**2 - 2. Let a = -3 + 1. Let z(p) = 11*p**2 + 5. Let l(r) = a*z(r) - 5*o(r). Let l(x) = 0. What is x?
0
Let o(b) = b**4 + b**3 + 1. Let n(s) = -2*s**5 + 12*s**3 + 2*s**2 - 16*s + 10. Let f(l) = 2*n(l) - 4*o(l). Solve f(i) = 0 for i.
-2, 1
Let k be (80/(-60))/(-1*2*1). Let r be (-1)/4 + 14/24. Factor 0*y**2 - k*y**4 + 0 - 1/3*y**5 + 0*y - r*y**3.
-y**3*(y + 1)**2/3
Let y(z) = -z**3 - 11*z**2 - 13*z - 8. Let u be y(-10). Suppose -u = d - 3*d + 4*c, 0 = -2*d + 3*c + 19. Factor 3*l**4 - 3*l**4 - l**d + 3*l**3 - 2*l**3.
-l**3*(l - 1)*(l + 1)
Let i(t) be the third derivative of -t**5/150 + t**4/60 + 2*t**3/5 - 22*t**2. Let i(p) = 0. Calculate p.
-2, 3
Suppose -3*z - 3*h = -3, -2*h = -4*z + 6 + 16. Find d such that -z + 2*d**2 + 4 = 0.
0
Let a be (-63)/(-15) + (-4)/20. Let j(w) be the first derivative of -7/10*w**a + 0*w - 2/5*w**2 - 1 + 6/5*w**3. Factor j(g).
-2*g*(g - 1)*(7*g - 2)/5
Let n(s) be the second derivative of -s**6/225 + s**5/25 - 13*s**4/90 + 4*s**3/15 - 4*s**2/15 + 8*s. Factor n(l).
-2*(l - 2)**2*(l - 1)**2/15
Let g be (-2 - 40/(-6))/3. Let i = 20/9 - g. Factor -2/3*a + i*a**2 - 4/3.
2*(a - 2)*(a + 1)/3
Let 2*x**3 - 40*x**2 + 40*x**2 - 2*x = 0. Calculate x.
-1, 0, 1
Suppose -8*y + 2 = -7*y. Let d(j) be the first derivative of 0*j**4 + 0*j + 0*j**y - 1 - 2/25*j**5 + 2/15*j**3. Let d(b) = 0. What is b?
-1, 0, 1
Let b be (-126)/49 - -5 - 2. Factor 0 - b*p**3 - 1/7*p + 1/7*p**4 + 3/7*p**2.
p*(p - 1)**3/7
Factor -6/19*z**3 + 0 + 4/19*z**2 + 0*z + 2/19*z**4.
2*z**2*(z - 2)*(z - 1)/19
Let n be ((-5)/(-2))/(12/24). Let b(r) be the second derivative of -1/80*r**n + 0*r**3 + 2*r + 0*r**2 + 0 + 0*r**4 - 1/120*r**6. Factor b(h).
-h**3*(h + 1)/4
Let y(s) = s**3 - 8*s**2 + 5*s + 14. Let p be y(7). Let -2/3*r**2 - 4/9*r + p - 2/9*r**3 = 0. Calculate r.
-2, -1, 0
Let n(f) = f**2 + f + 4. Let b(v) = v**2 + v. Let r(t) = 3*b(t) - n(t). Find i, given that r(i) = 0.
-2, 1
Factor -64/7*d**3 - 4/7*d + 32/7*d**2 + 0.
-4*d*(4*d - 1)**2/7
Let y(x) = -3*x**2 + x - 4. Let g(w) = -7*w**2 + w - 9. Let v(z) = z + 4. Let o be v(-8). Let h(d) = o*g(d) + 10*y(d). Factor h(l).
-2*(l - 2)*(l - 1)
Suppose -3*i + 3*y + 12 = 0, 2*y = -3*i + 2 - 0. Suppose 4/13*d + 0 - 14/13*d**i + 10/13*d**3 = 0. Calculate d.
0, 2/5, 1
Let u = -2/661 - -667/1983. Solve 1/3*o + u - 1/3*o**2 - 1/3*o**3 = 0 for o.
-1, 1
Let n(m) = -10*m**4 + 2*m**3 + 6*m**2 - 2*m - 14. Let a(f) = 9*f**4 - f**3 - 7*f**2 + f + 13. Let w = -10 + 5. Let o(s) = w*n(s) - 6*a(s). Factor o(h).
-4*(h - 1)**2*(h + 1)*(h + 2)
Suppose 13 = -5*r + 43. Let a(n) = -n**4 + 4*n**3 - n**2 - n - 6. Let p(h) = -h**4 + 4*h**3 - 2*h - 7. Let w(y) = r*a(y) - 5*p(y). Let w(q) = 0. What is q?
1
Let o(r) be the first derivative of -2*r**3/21 + 2*r**2/7 - 28. Factor o(f).
-2*f*(f - 2)/7
Let w = 3121/30 - 104. Let d(b) be the third derivative of 0 + 0*b - 3*b**2 - w*b**4 + 1/150*b**5 + 0*b**3. Factor d(x).
2*x*(x - 2)/5
Let m(w) = 3*w**3 - 2*w**2 - w + 1. Let x be m(2). Let v be 2 - 5/(x/6). Factor v + 2*s - s**2 - 4*s - 1.
-(s + 1)**2
Suppose 9*y = 17*y. Let s(t) be the third derivative of y*t**4 + 0*t + 0*t**3 + 1/20*t**5 + 0 + t**2. Find r such that s(r) = 0.
0
Let m(d) be the third derivative of 0*d**3 + 0 - 1/40*d**6 - 1/24*d**4 + 0*d + d**2 + 1/20*d**5 + 1/210*d**7. Suppose m(i) = 0. What is i?
0, 1
Let o = 1067/952 + 3/136. Let u = 373/7 - 53. Solve 2/7*w**2 - u + o*w**3 - 8/7*w = 0 for w.
-1, -1/4, 1
Let s(q) = q**2 + 4*q + 2*q**2 - 1 - 3*q. Let x be s(1). Factor -5/4*r + 1/2 - 1/4*r**x + r**2.
-(r - 2)*(r - 1)**2/4
Let c(u) be the second derivative of -1/50*u**5 + 0 + 1/15*u**3 - 2*u + 0*u**2 + 0*u**4. Factor c(r).
-2*r*(r - 1)*(r + 1)/5
Let h = 4 + -1. Suppose 0*q**3 - 2*q - 3*q**h + q**3 + 4*q**2 = 0. Calculate q.
0, 1
Let b be 0/1*(-5)/10. Factor 0*c**5 - c**5 + c - 2*c**4 + b*c + 2*c**2.
-c*(c - 1)*(c + 1)**3
Let f = -3 + 5. Factor 2*o**2 + 8 + 5*o**f + 16*o + 2*o**2 + o**2 + 2*o**3.
2*(o + 1)*(o + 2)**2
Suppose -3*f - 1 + 3 = -u, 5*f = -4*u + 26. Let g(b) be the first derivative of b - 1/3*b**3 + 1/4*b**u + 1 - 1/2*b**2. Solve g(x) = 0.
-1, 1
Let y = 672/5 + -134. Factor 6/5*g**2 + 6/5*g + 2/5*g**3 + y.
2*(g + 1)**3/5
Factor 5/7*o + 0 + 6/7*o**2 + 1/7*o**3.
o*(o + 1)*(o + 5)/7
Let h(s) be the first derivative of -3*s**5/5 + 3*s**4/2 + s**3 - 3*s**2 + 13. Suppose h(o) = 0. What is o?
-1, 0, 1, 2
Let a(i) = -4*i**2 + 15*i + 4. Let n(u) = 5*u**2 - 14*u - 4. Let h(q) = 2*a(q) + 3*n(q). Factor h(r).
(r - 2)*(7*r + 2)
Suppose 0 = 6*q - 16*q. Let u(p) be the third derivative of -1/5*p**5 + 2*p**2 + q*p - 8/3*p**3 + 1/6