*3/3 - 3*r. Factor g(w).
w*(w - 1)**2*(w + 1)*(w + 2)
Let j(o) = o**3 - 4*o**2 - o - 6. Let z(r) = -r**3 + 5*r**2 + r + 7. Let g(a) = -6*j(a) - 5*z(a). Factor g(h).
-(h - 1)*(h + 1)**2
Let 9*h**2 - 4*h + 114*h**3 - 12 + 4*h - 117*h**3 = 0. Calculate h.
-1, 2
Let o be 44/20 + (-4 - (-38)/10). Suppose 0*d - 2/5*d**o + 2/5 = 0. Calculate d.
-1, 1
Let n(x) be the second derivative of x**4/36 - 4*x**3/9 + 8*x**2/3 - x. Determine b, given that n(b) = 0.
4
Let t(f) be the second derivative of -f**5/20 - f**4/12 + 16*f. Factor t(z).
-z**2*(z + 1)
Let m(t) be the first derivative of t**6/14 + 3*t**5/35 - 3*t**4/28 - t**3/7 + 28. Factor m(c).
3*c**2*(c - 1)*(c + 1)**2/7
Let i be (-84)/(-49) + 4/14. Factor -2 - 3*k**2 + 2*k**2 - 1 + i*k + 2.
-(k - 1)**2
Let q(c) be the third derivative of 2*c**7/105 + c**6/30 - 2*c**5/15 - c**2 + 11*c. Solve q(x) = 0.
-2, 0, 1
Let n(b) be the first derivative of 4/3*b**3 + b**2 + 0*b**4 - 3 - 1/3*b**6 - 4/5*b**5 + 0*b. Determine y, given that n(y) = 0.
-1, 0, 1
Suppose 20/7*w - 8/7 - 8/7*w**2 = 0. Calculate w.
1/2, 2
Suppose v + 2 - 10 = -2*p, 15 = 5*p. Let w(u) be the first derivative of -1/6*u**3 + u**2 - v*u + 3. What is n in w(n) = 0?
2
Let t be (-2)/((5 + -1)/(60/(-40))). Let o(w) be the second derivative of -1/60*w**6 - w + 0 - 5/3*w**3 - 2*w**2 - t*w**4 - 7/40*w**5. Factor o(b).
-(b + 1)*(b + 2)**3/2
Suppose o = 6*o - 15. Determine h, given that 2*h + h**5 - 2*h**o + 3*h - 4*h = 0.
-1, 0, 1
Factor 1/2*a**3 + 3/2*a - 1/2 - 3/2*a**2.
(a - 1)**3/2
Let h = -8 - -11. Let -2 + 2*x**4 - 4*x - 3*x**3 + 7*x**h + 0 = 0. What is x?
-1, 1
Let z be (24/70)/(((-16)/15)/(-8)). Factor -2/7*a**5 - 4/7*a - z*a**3 + 0 + 2*a**2 + 10/7*a**4.
-2*a*(a - 2)*(a - 1)**3/7
Let v(k) be the third derivative of k**6/280 - k**5/140 - 5*k**4/56 - 3*k**3/14 - 8*k**2. What is p in v(p) = 0?
-1, 3
Determine r, given that -1/3*r**2 + 1/9*r + 2/9 = 0.
-2/3, 1
Let v(p) = -9*p**3 + 20*p**2 - 9*p - 26. Let o(x) = 10*x**3 - 20*x**2 + 10*x + 25. Let n(s) = -4*o(s) - 5*v(s). Factor n(h).
5*(h - 3)*(h - 2)*(h + 1)
Let z(m) be the first derivative of -m**4/8 - 13*m**3/12 + m**2 + 7*m/4 - 4. Determine a so that z(a) = 0.
-7, -1/2, 1
Suppose -3*d = 2*d + 40. Let k = -5 - d. Determine u so that -3*u**3 - 9*u + 9*u**2 + 3*u**2 - 2*u**k + 2 = 0.
2/5, 1
Determine o so that 3*o**2 - 3*o**2 + 4*o**3 + 4*o**5 - 8*o**5 = 0.
-1, 0, 1
Suppose 2*p = -1 + 5. Let l(x) be the first derivative of -p + 0*x + 2/9*x**3 - 1/3*x**2. Determine t, given that l(t) = 0.
0, 1
Let d = -19 - -22. Let q(m) be the third derivative of 1/120*m**5 + 0*m + 0 + m**2 - 1/24*m**4 + 1/12*m**d. Solve q(g) = 0 for g.
1
Let f(m) = -2*m**3 + 5*m**2 + 2*m + 9. Let v(a) = a**3 - 3*a**2 - a - 5. Let u = 2 + 5. Let b(s) = u*v(s) + 4*f(s). Suppose b(q) = 0. Calculate q.
-1, 1
Let t(b) = 81*b**2 + 31*b + 4. Let y(w) = -w. Let q be (-1)/(-4) + 9/12. Let f be (2/(-4) + q)*-2. Let z(k) = f*t(k) + 5*y(k). Factor z(l).
-(9*l + 2)**2
Let r(t) be the second derivative of t**6/120 + 4*t. Find i, given that r(i) = 0.
0
Let y(n) = -2*n**3 + n**2 - n - 1. Let q(d) = 14*d**3 - 6*d**2 + 8*d + 6. Let a(m) = 6*q(m) + 44*y(m). Suppose a(u) = 0. What is u?
-1, 1, 2
Suppose -13*d - 80 = -9*d. Let x be d/50 + (-24)/(-10). Factor 0*j + 0 - x*j**4 + 0*j**2 + 14/5*j**5 - 4/5*j**3.
2*j**3*(j - 1)*(7*j + 2)/5
Factor 0*y + 0*y**2 + 0 + 5/3*y**4 + 0*y**3 + 5/3*y**5.
5*y**4*(y + 1)/3
Suppose 7*v - 12 = 3*v. Factor 0*k**2 - k**3 + 3*k**3 + k - k**v + 2*k**2.
k*(k + 1)**2
Let m be 4/24 - 33/(-18). Let f(k) be the third derivative of 1/84*k**4 - 1/420*k**6 + 0 - 1/21*k**3 + 0*k + 1/210*k**5 + k**m. Factor f(o).
-2*(o - 1)**2*(o + 1)/7
Let h(r) = -9*r**2 + 3*r - 6. Let x(c) = -c**2 + c - 1. Let g(t) = h(t) - 12*x(t). Factor g(y).
3*(y - 2)*(y - 1)
Let d(q) be the first derivative of -q**3 - 15*q**2 - 27*q + 22. Factor d(z).
-3*(z + 1)*(z + 9)
Let s(m) be the third derivative of 4*m**5/45 + 5*m**4/6 - 8*m**3/9 - 30*m**2. Solve s(w) = 0.
-4, 1/4
Solve 5/4*z**2 + 2*z + 3/4 = 0 for z.
-1, -3/5
Let q = 53 - 53. Factor -1/3*n**2 + q - 1/3*n.
-n*(n + 1)/3
Let t(j) be the third derivative of -2/15*j**5 + 0 + 1/16*j**4 - 1/105*j**7 + 1/6*j**3 + 2*j**2 + 0*j + 1/16*j**6. Find c such that t(c) = 0.
-1/4, 1, 2
Let v = -12 + 10. Let j be (-25)/(-30) - v/(-4). Suppose -2/3*n**3 + 0*n - j*n**2 - 1/3*n**4 + 0 = 0. Calculate n.
-1, 0
Let t be 7052/(-10)*(11 - 6). Let x = t - -24732/7. Factor 0*z**2 - x*z**5 + 0*z + 40/7*z**4 + 0 - 8/7*z**3.
-2*z**3*(5*z - 2)**2/7
Let b be (-2)/(-7) - (-402)/63. Let g = -6 + b. Find d such that -g*d**2 + 2/3*d + 4/3 = 0.
-1, 2
Determine w, given that -5/4*w**4 + 0 + 0*w + 0*w**2 + w**3 + 1/4*w**5 = 0.
0, 1, 4
Solve -2*r + 2/3*r**2 - 2/3*r**4 + 2*r**3 + 0 = 0.
-1, 0, 1, 3
Find c, given that -1/3 - 1/9*c + 4/9*c**2 = 0.
-3/4, 1
Let k = -72 + 103. Determine i, given that -246*i**2 - 147*i**4 - 12 - 556*i**3 - 12 - 204*i - 312*i**2 + k*i**3 = 0.
-2, -1, -2/7
Factor 0 + 6/5*i**2 - 2/5*i**4 + 4/5*i + 0*i**3.
-2*i*(i - 2)*(i + 1)**2/5
Let y(x) = 25*x**4 - 9*x**3 - 41*x**2 + 21*x + 10. Let m(i) = 50*i**4 - 19*i**3 - 81*i**2 + 41*i + 20. Let z(u) = 6*m(u) - 11*y(u). Factor z(v).
5*(v - 1)**2*(v + 1)*(5*v + 2)
Let t = 2545372594/987 - 2578898. Let b = t + 2/141. Factor 0*c + 0*c**3 + 0 - b*c**4 + 2/7*c**2.
-2*c**2*(c - 1)*(c + 1)/7
Let j(h) be the first derivative of 2*h**5/75 + 11*h**4/30 + 2*h**3 + 27*h**2/5 + 36*h/5 + 9. Suppose j(i) = 0. Calculate i.
-3, -2
Let b(m) be the second derivative of -3*m**6/10 + 21*m**5/10 - 19*m**4/4 + 2*m**3 + 6*m**2 - 10*m. What is x in b(x) = 0?
-1/3, 1, 2
Let b(n) = -5*n**2 + 4*n - 8. Suppose 2 + 2 = p. Let o(g) = -4*g**2 + 4*g - 7. Let d(t) = p*o(t) - 3*b(t). Factor d(h).
-(h - 2)**2
Let r(h) be the second derivative of h**5/20 - 5*h**4/12 + 2*h**3/3 + 20*h. Factor r(c).
c*(c - 4)*(c - 1)
Suppose 5*n + 15 - 65 = 0. Factor 13*v - 2*v**4 - 4 + 0*v**3 + n*v**3 + v - 18*v**2.
-2*(v - 2)*(v - 1)**3
Let y(m) = 2*m**4 - 10*m**3 - 2*m**2 + 6*m - 2. Let f(b) = -b**4 + 11*b**3 + b**2 - 5*b + 3. Let l(t) = -2*f(t) - 3*y(t). Factor l(o).
-4*o*(o - 2)*(o - 1)*(o + 1)
Let d be 3/135 + (-1)/(-5). Let g(h) be the first derivative of 1/3*h**2 - 2 - d*h**3 - 1/6*h**4 + 2/3*h. Let g(v) = 0. Calculate v.
-1, 1
Let m = 1 + -7. Let p = 8 + m. Factor p*j**2 + 2*j + j + j + 2.
2*(j + 1)**2
Let f(t) be the first derivative of 2 + 1/3*t**3 + 1/2*t**4 + 0*t - 1/2*t**2. Factor f(r).
r*(r + 1)*(2*r - 1)
Suppose 4*p - 855 + 3747 = 0. Let m = p - -7969/11. Solve 2/11 + 10/11*w + 8/11*w**3 + m*w**2 = 0.
-1, -1/2
Let k(c) = -c**3 + 6*c**2 + 5*c - 4. Let v be k(6). Let d be v/8 - 2/8. Factor d - 2 - 2*j + j**2 - 2 + 4*j**3 - 2*j**3.
(j - 1)*(j + 1)*(2*j + 1)
Let k = 115 - 573/5. Let s be ((-4)/(-10))/1*2. Factor s*d**3 + 0 + 2/5*d**2 + 0*d + k*d**4.
2*d**2*(d + 1)**2/5
Let y(j) be the first derivative of -3*j**5/5 + 3*j**4/2 + j**3 - 3*j**2 - 7. What is p in y(p) = 0?
-1, 0, 1, 2
Let m be (4/10)/(12/90). What is j in -3/4*j + 3/2*j**2 - 3/4*j**m + 0 = 0?
0, 1
Let r(f) be the second derivative of 1/30*f**5 - 1/9*f**3 + 1/18*f**4 - 1/45*f**6 + f + 0 + 0*f**2. What is b in r(b) = 0?
-1, 0, 1
Let b(z) = 4*z**2 - 13*z - 14. Let l be b(-1). Factor 3/4*w**l + 3/4*w**4 + 0 - 3/4*w - 3/4*w**2.
3*w*(w - 1)*(w + 1)**2/4
Let z = -4 + 10. Determine r, given that -4*r**3 - z*r**3 + 0*r**3 + 14*r**2 - 4*r = 0.
0, 2/5, 1
Let f(u) be the first derivative of -u**4 + 1 + 0*u**3 + 2*u**2 + 2/5*u**5 - 2*u. Factor f(a).
2*(a - 1)**3*(a + 1)
Let p(d) be the first derivative of d**6/3 + 26*d**5/5 + 23*d**4 - 20*d**3/3 - 175*d**2 + 250*d - 12. Factor p(o).
2*(o - 1)**2*(o + 5)**3
Let q(c) be the first derivative of 4/7*c - 1/14*c**4 + 8/21*c**3 - 3 - 5/7*c**2. What is k in q(k) = 0?
1, 2
Let y = -626 - -628. Solve -1/2 - 1/4*t**3 - 19/2*t**y + 17/4*t - 4*t**5 + 10*t**4 = 0 for t.
-1, 1/4, 1, 2
Let k(w) be the second derivative of 0*w**3 - 2*w + 1/10*w**5 - 1/12*w**4 + 0*w**2 + 0 - 1/30*w**6. Solve k(t) = 0.
0, 1
Let x(d) be the second derivative of d**4/24 + 5*d**3/48 + d**2/16 + 7*d. Suppose x(l) = 0. Calculate l.
-1, -1/4
Let w be ((-549)/(-126) - (-1)/7) + -4. Factor g**2 - 1/2 - 1/2*g + g**3 - w*g**5 - 1/2*g**4.
-(g - 1)**2*(g + 1)**3/2
Let z(t) = t**3 - t**2 - t. Let k(s) = -36*s**3 + 140*s**2 - 120*s - 48. Let d(n) = -k(n) - 8*z(n). Find r 