Factor m(y).
-4*y*(y + 1)*(2*y - 1)
Let q = 1764/4385 - 2/877. Factor -q*o**3 + 2/5*o + 0 + 0*o**2.
-2*o*(o - 1)*(o + 1)/5
Suppose 16*b - 15 = 17. Let k = -1 - -1. Factor -4*s**b + 2*s**3 + k + 8/3*s - 1/3*s**4.
-s*(s - 2)**3/3
Let i = -2 + 4. Solve -3*c + 3*c**i - 5*c**2 + 0*c + c**3 + 4*c = 0 for c.
0, 1
Let z be (5/(-6))/(15*4/(-48)). Factor 1/3*c**2 + 1/6*c**3 - z*c - 4/3.
(c - 2)*(c + 2)**2/6
Factor 9*a**3 - a**3 + 16*a**4 - 4*a**4 + 4*a**5.
4*a**3*(a + 1)*(a + 2)
Let p(i) = i**3 + i + 1. Let f(z) = 4*z**4 + 24*z**3 - 24*z**2 + 56*z + 12. Let t(r) = -f(r) + 24*p(r). Find j, given that t(j) = 0.
-3, 1
Let b(x) = -x + 7. Suppose -5*f + 20 = -0*f. Let o be b(f). Factor -1/2*t**4 - 2*t - 1/2 - 3*t**2 - 2*t**o.
-(t + 1)**4/2
Let h(j) be the first derivative of 1/8*j**4 + 2 - 2/5*j**5 - 1/4*j**2 + 2/3*j**3 + 0*j. Factor h(b).
-b*(b - 1)*(b + 1)*(4*b - 1)/2
Let j(n) be the second derivative of n**5/28 + 13*n**4/84 - 13*n**3/21 + 4*n**2/7 - 32*n. Factor j(b).
(b - 1)*(b + 4)*(5*b - 2)/7
Find b, given that 2/3 + b**2 + 5/3*b = 0.
-1, -2/3
Let b(p) be the third derivative of p**6/480 + p**5/30 - p**4/96 - p**3/3 + 36*p**2. Let b(v) = 0. Calculate v.
-8, -1, 1
Factor -3*z**2 - 3/2*z**3 + 3 + 3/2*z.
-3*(z - 1)*(z + 1)*(z + 2)/2
Factor -17/2*c**2 + 63/2*c + 81/2 + 1/2*c**3.
(c - 9)**2*(c + 1)/2
Let x(z) = 14*z + 4. Let m be x(2). Factor -m + 3*p**2 - 6*p + 32.
3*p*(p - 2)
Let p(u) be the third derivative of u**9/9072 - u**8/5040 - u**7/1260 - u**3/2 - 2*u**2. Let w(r) be the first derivative of p(r). Factor w(v).
v**3*(v - 2)*(v + 1)/3
Let r be -2*9/(-6) + -3. Suppose r = 2*o - o. What is g in o*g - 2/3*g**2 + 0 - 2/3*g**3 = 0?
-1, 0
Suppose 4*s - 1 = 3*s. Let i be (-1)/(-3)*4 - s. Find q, given that -i*q + 0*q**3 + 0 + 2/3*q**2 - 2/3*q**4 + 1/3*q**5 = 0.
-1, 0, 1
Factor -1/2*j**2 + 0*j + 0*j**3 + 1/4 + 1/4*j**4.
(j - 1)**2*(j + 1)**2/4
Let p(k) = 3*k**3 + 9*k**2 - 21*k + 3. Let g(d) = 8*d**3 + 28*d**2 - 63*d + 10. Let o(h) = 6*g(h) - 17*p(h). Let o(i) = 0. What is i?
1, 3
Let r(v) = -v**2 + 15*v - 53. Let g be r(7). Find j such that 4/11*j**4 - 2/11*j**g + 2/11*j + 0 - 4/11*j**2 = 0.
-1, 0, 1/2, 1
Let 8*o**2 - 3*o**4 - 3*o**3 + o**4 - 3*o**3 = 0. Calculate o.
-4, 0, 1
Let n = 0 - 0. Let a be (72/(-270))/((-2)/6). Let -2/5*y**3 - 2/5*y**5 + n*y**2 + 0*y + 0 + a*y**4 = 0. Calculate y.
0, 1
Let -1/4*q**4 - q**2 + 3/4*q**5 + 0 - 2*q**3 + 0*q = 0. What is q?
-1, -2/3, 0, 2
Determine f so that 9/2*f + 0 - 3/2*f**2 = 0.
0, 3
Let k(a) be the first derivative of -2*a**3/45 - 2*a**2/3 - 32. Factor k(g).
-2*g*(g + 10)/15
Let l(t) = 113*t**4 - 83*t**3 - 22*t**2 + 8. Let s(i) = 75*i**4 - 55*i**3 - 15*i**2 + 5. Let m(u) = -5*l(u) + 8*s(u). Factor m(j).
5*j**2*(j - 1)*(7*j + 2)
Suppose 0 = -i + 4*i - 6. Let k be (-6)/(-75)*(2 - -3). Factor 1/5*m**i - k - 1/5*m.
(m - 2)*(m + 1)/5
Determine f so that 4/9*f + 0 - 2/9*f**2 - 2/9*f**3 = 0.
-2, 0, 1
Let h(r) = r**3 + 7*r**2 - 8*r + 5. Let m be h(-8). Let c**4 - 4*c**3 - c**2 - 1 + 1 + 3*c**5 + c**m = 0. What is c?
-1, -1/4, 0, 1
Let h(s) be the third derivative of -s**8/6720 - s**7/1680 + s**5/240 + s**4/96 + 2*s**3/3 - 3*s**2. Let y(g) be the first derivative of h(g). Solve y(v) = 0.
-1, 1
Let b(z) be the first derivative of z**7/420 - z**6/45 + z**5/15 + 4*z**3/3 - 2. Let y(c) be the third derivative of b(c). Factor y(i).
2*i*(i - 2)**2
Let n(s) be the second derivative of -1/9*s**3 + 0 + 2/9*s**2 + 5*s + 1/54*s**4. Factor n(f).
2*(f - 2)*(f - 1)/9
Let l(r) be the first derivative of 3*r**4/20 - 2*r**3/5 + 3*r**2/10 - 7. Factor l(j).
3*j*(j - 1)**2/5
Factor 3*r**2 + r**5 - 3*r**2 - 6*r**2 - 4*r**4 + 4*r**2 + 5*r**3.
r**2*(r - 2)*(r - 1)**2
Let p(v) be the second derivative of -v**5/60 + v**4/8 - v**3/3 + 3*v**2/2 + 3*v. Let a(u) be the first derivative of p(u). Factor a(q).
-(q - 2)*(q - 1)
Find f such that 14/3*f - 5/3*f**3 + 8/3 - 17/3*f**2 = 0.
-4, -2/5, 1
Let l(a) be the first derivative of -a**5 - 5*a**4 - 10*a**3 - 10*a**2 - 5*a + 19. Suppose l(w) = 0. Calculate w.
-1
Let v be (-612)/45 + 4/(-10). Let q = 14 + v. Suppose q*c**4 - 2/3*c**5 + 0*c + 0*c**2 + 2/3*c**3 + 0 = 0. What is c?
-1, 0, 1
Let s = -4 + 7. Suppose c - s = -0. Factor c*v**2 + v - 3*v - 4*v**2.
-v*(v + 2)
Let o(x) be the second derivative of 3*x**5/20 - x**4/4 - 7*x. Solve o(k) = 0 for k.
0, 1
Suppose 0 = -13*n + 24 + 2. What is t in 1/4 - 1/4*t + 1/4*t**3 - 1/4*t**n = 0?
-1, 1
Let p(j) be the second derivative of -j**7/126 - j**6/90 + j**5/60 + j**4/36 + 11*j - 2. Let p(c) = 0. Calculate c.
-1, 0, 1
Let b(r) be the first derivative of r**7/420 - r**6/60 + r**4/3 - r**3 + 2. Let k(a) be the third derivative of b(a). Determine m, given that k(m) = 0.
-1, 2
Let o(s) be the third derivative of s**8/84 - s**7/15 + 3*s**6/20 - s**5/6 + s**4/12 - 9*s**2. Factor o(b).
2*b*(b - 1)**3*(2*b - 1)
Suppose -5*h + 25 = 3*r, 6*h - 2*h - 23 = -3*r. Let g(z) be the first derivative of 0*z**h - 1/16*z**4 + 0*z + 1/6*z**3 - 3. Factor g(c).
-c**2*(c - 2)/4
Let r(s) be the second derivative of 1/4*s**4 + 0*s**2 + 11/10*s**6 + 2/7*s**7 - 1/2*s**3 + 27/20*s**5 + 0 - 3*s. Factor r(x).
3*x*(x + 1)**3*(4*x - 1)
Let t(o) = o**5 - 7*o**3 + 6*o**2 - 4*o. Let z(q) = q**5 - 6*q**3 + 5*q**2 - 3*q. Let f(c) = 3*t(c) - 4*z(c). Factor f(w).
-w**2*(w - 1)**2*(w + 2)
Let u(g) = -6*g**2 - 4*g + 2. Let d(k) = -1. Let t(z) = -11*z**2 - 8*z + 2. Let l(w) = d(w) - t(w). Let r(j) = 4*l(j) + 7*u(j). Find y such that r(y) = 0.
-1
Let f(v) be the first derivative of -3*v**5/5 + 17. Factor f(d).
-3*d**4
Let j(t) be the first derivative of t**4/30 - 2*t**3/45 + 21. Factor j(y).
2*y**2*(y - 1)/15
Suppose 7 = -3*r + 4*d, -4*d + 14 = 2*r - 2*d. Let k(b) be the first derivative of -r + 0*b**2 + 2/7*b - 4/7*b**4 - 4/7*b**3 - 6/35*b**5. What is n in k(n) = 0?
-1, 1/3
Suppose -40 = w + 4*i, -2*i = 4*w - 32 + 136. Let p be w/16 - (-2)/1. Suppose -p - 1/2*y**2 - y = 0. What is y?
-1
Let z(b) be the first derivative of -b**6/165 + b**4/66 + 3*b + 6. Let y(x) be the first derivative of z(x). Solve y(v) = 0 for v.
-1, 0, 1
Let u(v) be the first derivative of -v**5/5 - v**4/12 + v**3 - v**2/2 - 2*v/3 - 3. Solve u(b) = 0 for b.
-2, -1/3, 1
Let q be (0 + 3/(-2))*-30. Let m be (3/(-4))/(q/(-24)). Let b**4 - m + 9/5*b**2 + 1/5*b - 13/5*b**3 = 0. Calculate b.
-2/5, 1
Let u(w) be the second derivative of w**4/3 - 16*w**3/3 + 14*w**2 + 4*w. Let u(o) = 0. What is o?
1, 7
Solve -8/9*i**3 + 2*i + 4/9 + 2/3*i**2 = 0.
-1, -1/4, 2
Suppose 3*d - 63 = -0*d + 3*p, 2*d + 5*p - 21 = 0. Factor d + 0*b - 18 + b - b**3.
-b*(b - 1)*(b + 1)
Let b(m) = -5*m**2 + 4*m - 6. Suppose -2*z - 13 = -i, 0 = 2*i - 2. Let n(l) = -9*l**2 + 7*l - 11. Let p(u) = z*n(u) + 11*b(u). Find r such that p(r) = 0.
0, 2
Let h(o) be the third derivative of -o**8/2520 + o**6/540 - o**3/2 - o**2. Let w(n) be the first derivative of h(n). Factor w(l).
-2*l**2*(l - 1)*(l + 1)/3
Let g(h) = h**2 - 19*h - 15. Let d(n) = n + 4. Let f(l) = -2*l - 4. Let y(t) = -3*d(t) - 4*f(t). Let j(w) = 6*g(w) + 22*y(w). Suppose j(m) = 0. What is m?
-1/3, 1
Let a(f) be the third derivative of f**5/15 + f**4/6 - 4*f**3 - 13*f**2. Factor a(t).
4*(t - 2)*(t + 3)
Let i(v) be the second derivative of -v**6/2 + 21*v**5/20 + 3*v**4/4 - 7*v**3/2 + 3*v**2 - 3*v. Solve i(d) = 0.
-1, 2/5, 1
Let a(t) be the second derivative of -t**8/33600 + t**7/4200 - t**6/1800 - 7*t**4/12 - 3*t. Let c(h) be the third derivative of a(h). Factor c(n).
-n*(n - 2)*(n - 1)/5
Factor 0 + 1/2*w**3 - 3/4*w**2 + 1/4*w.
w*(w - 1)*(2*w - 1)/4
Let q = -1550/7 + 222. Let 6/7*n - 2/7*n**2 - q = 0. What is n?
1, 2
Suppose -35 + 14 = -7*l. Let p be 1 + (-3)/6 + 0. Factor 0*k - 1/2*k**4 + k**l - p*k**2 + 0.
-k**2*(k - 1)**2/2
Let 3 + 2*m**3 - 7*m**2 + 3*m**4 - 3 + 0 + 2*m = 0. What is m?
-2, 0, 1/3, 1
Let u(q) be the second derivative of -3*q + 1/10*q**5 + 0 - 8/5*q**2 + 28/15*q**3 - 11/15*q**4. Let u(i) = 0. Calculate i.
2/5, 2
Let a(t) be the third derivative of t**7/1050 - t**6/200 + t**5/300 + t**4/40 - t**3/15 + 5*t**2. Determine r so that a(r) = 0.
-1, 1, 2
Suppose 0*d - 2*d - 20 = 0. Let b be (-4)/d + 5/50. Solve 0*r**3 + r**4 + b*r - r**2 + 0 - 1/2*r**5 = 0 for r.
-1, 0, 1
Let u(p) be the second derivative of -p**5/60 - p**4/12 + 2*p**3/9 - p. Find k, given that u(k) = 0.
-4, 0, 1
Let q = -297/2 + 895/6. Fa