Let s(x) = -3*m(x) + 12*u(x). Factor s(v).
-3*v*(v - 3)*(v + 1)**2
Factor -9/8*y + 3/4 + 3/8*y**2.
3*(y - 2)*(y - 1)/8
Let h(s) = -2*s**2 - 9*s - 4. Let f be h(-3). Let w(d) be the third derivative of -1/36*d**4 + 0*d + 1/18*d**f + 0*d**3 + 0 - 3*d**2 - 1/45*d**6. Factor w(a).
-2*a*(a - 1)*(4*a - 1)/3
Let r(i) = 1 + 4*i**2 - 3*i**2 + 0. Let f be r(1). Factor -f*a**2 + 2 - 1 + a**2.
-(a - 1)*(a + 1)
Let j(y) be the second derivative of -5*y**4/12 + 5*y**3/6 + 16*y. Determine n so that j(n) = 0.
0, 1
Let h = 93 - 647/7. Determine p so that -6/7*p**3 + 0 + 0*p - h*p**2 - 2/7*p**4 = 0.
-2, -1, 0
Let x(q) = -2*q + 12. Let z be x(5). Let m(j) be the first derivative of 2/27*j**3 + 3 + 2/9*j**z + 2/9*j. Factor m(b).
2*(b + 1)**2/9
Suppose -y = -3*y + 8. Let m(p) be the second derivative of 1/30*p**y - p + 0 + 1/15*p**3 + 0*p**2. Factor m(w).
2*w*(w + 1)/5
Let r(y) be the second derivative of y**5/4 - 5*y**4/12 - 5*y**3/6 + 5*y**2/2 + 17*y. Solve r(a) = 0 for a.
-1, 1
Factor 150*j + 37*j - 616 + 4*j**2 - 43*j + 1912.
4*(j + 18)**2
Let w be (-2)/3 + (-2)/(-3). Suppose 2*n = 2*y - w*y, 12 = 3*n + y. Determine h so that n*h**2 + 4 - 3 - 4*h**2 = 0.
-1, 1
Factor -2/5*p**3 + 4/5 + 6/5*p + 0*p**2.
-2*(p - 2)*(p + 1)**2/5
Suppose -5*s - f + 18 = 0, 3*f - 16 = s - 26. Factor 2/3*x**3 - 1/3*x**5 + 0*x**2 + 0 - 1/3*x + 0*x**s.
-x*(x - 1)**2*(x + 1)**2/3
Let y(t) be the first derivative of -1/5*t**2 + 2/5*t - 2/15*t**3 + 1/10*t**4 - 2. Let y(m) = 0. What is m?
-1, 1
Let o(p) = p + 13. Let i be o(-10). Suppose 1 + 5 = i*k. Factor -1/2*f**5 + 1/2*f**4 - 1/2*f**k + 0*f + 0 + 1/2*f**3.
-f**2*(f - 1)**2*(f + 1)/2
Let t = 1 + 1. Factor 8*c - t*c**2 + 1 - 8 - 1.
-2*(c - 2)**2
Let s = -2 + 1. Let k be (-9)/(-3) - (4 + s). Find p, given that -3*p - 3*p**5 + k*p**5 - 7*p**3 + 13*p**3 = 0.
-1, 0, 1
Let z(v) be the third derivative of -v**7/168 + 7*v**6/480 + v**5/240 - v**4/32 - 7*v**2. Find w such that z(w) = 0.
-3/5, 0, 1
Let p(g) be the second derivative of -g**5/20 + g**4/18 + g**3/6 - g**2/3 + g. Find d, given that p(d) = 0.
-1, 2/3, 1
Let p be ((-24)/(-22) - 1) + 68/220. Let p - 2/5*l**2 + 1/5*l - 1/5*l**3 = 0. Calculate l.
-2, -1, 1
Let y(g) be the third derivative of -g**5/6 + g**4/3 + g**3/3 - g**2. Factor y(a).
-2*(a - 1)*(5*a + 1)
Let r(h) = 3*h**2 - 2*h + 1. Let l be r(1). Let i(o) = -o**3 - o**2 - o + 1. Let t be i(-2). Solve -l*a**2 + 4 - t + 3 = 0 for a.
0
Let a(w) be the first derivative of -1/12*w**4 - 1 + 1/6*w**2 - 1/3*w + 1/9*w**3. What is g in a(g) = 0?
-1, 1
Factor 2*q + 15 - q**2 + 0*q - 16.
-(q - 1)**2
Let q(y) be the third derivative of -y**7/8820 - y**6/840 - y**5/210 - y**4/6 + y**2. Let t(i) be the second derivative of q(i). Factor t(o).
-2*(o + 1)*(o + 2)/7
Let y(w) = -48*w**3 + 41*w**2 - w - 5. Let m(t) = 72*t**3 - 61*t**2 + 2*t + 7. Let p(f) = 5*m(f) + 7*y(f). Factor p(g).
3*g*(2*g - 1)*(4*g - 1)
Factor 0 + 8 - 3*y**2 - 2 - 3*y.
-3*(y - 1)*(y + 2)
What is u in 21*u**4 + 6*u**5 + 0*u**5 - 8*u - 4*u + 9*u**3 - 24*u**2 = 0?
-2, -1/2, 0, 1
Let q(k) be the second derivative of k**5/10 - k**4/6 - 3*k**3 + 9*k**2 + 7*k. Find o, given that q(o) = 0.
-3, 1, 3
Determine d, given that -1137 - 4*d**3 + 10*d**2 + 22*d + 1145 + 0*d**3 = 0.
-1, -1/2, 4
Let r(x) be the first derivative of x**5/20 + 11*x**4/16 + 3*x**3 + 2*x**2 - 16*x + 53. Factor r(o).
(o - 1)*(o + 4)**3/4
Let r(z) = z**3 - 5*z**2 + z + 3. Let s be r(5). Let n = s - 6. Find p such that 0 + 1/2*p**n + 1/2*p = 0.
-1, 0
Find q, given that -q**3 + 180 + 2498 - 675*q + 697 + 45*q**2 = 0.
15
Let j = 8 + -6. Find c, given that 3*c**4 - 7*c**j + 15*c - 2*c**2 - 10 - 3*c**3 + 4 = 0.
-2, 1
Let s(h) be the first derivative of -14*h**5/25 - 9*h**4/10 - 4*h**3/15 + 1. Factor s(t).
-2*t**2*(t + 1)*(7*t + 2)/5
Let g(w) be the second derivative of -w**5/120 - w**4/48 + w**2/2 - 4*w. Let s(i) be the first derivative of g(i). Solve s(d) = 0 for d.
-1, 0
Let c = -112/327 - -34838/31065. Let g = c + 8/19. Solve -6/5*n**2 + g - 3/5*n**3 + 3/5*n = 0.
-2, -1, 1
Find z such that 12*z**4 - 3*z**2 - 8*z**4 + 4 + 11*z**3 - 16*z + 0*z**4 = 0.
-2, 1/4, 1
Let b(i) be the first derivative of i**8/1260 + i**7/105 + 2*i**6/45 + 4*i**5/45 - 3*i**3 - 10. Let q(w) be the third derivative of b(w). Factor q(g).
4*g*(g + 2)**3/3
Suppose -2*d = 4*f - 19 - 17, -2*f + 22 = 3*d. Let x be f/6*6/4. Factor 6 - x + 2*s - 2*s**3 - 2 - 2*s**2.
-2*(s - 1)*(s + 1)**2
Suppose -3*p + z + 0*z = 5, -15 = p - 3*z. Suppose 2*u - 4*s = 16, p*u + s = -2*u - 4. Find h, given that 0 + 0*h + u*h**3 + 1/2*h**2 - 1/2*h**4 = 0.
-1, 0, 1
Suppose z + 3 = 2*z + r, 3*z + 5*r - 7 = 0. Suppose 18 = 5*u + p, -2*u - 4*p + z = u. Factor 3*f + f - 3*f**3 + 2*f**u - 2 - f**3.
2*(f - 1)**3*(f + 1)
Factor 4/13 - 4/13*s**2 - 2/13*s**3 + 2/13*s.
-2*(s - 1)*(s + 1)*(s + 2)/13
Let d(m) = -m - 3. Let b be d(-3). Let v(i) be the third derivative of 2*i**2 + 0 + 1/18*i**3 + 1/18*i**4 + b*i + 1/60*i**5. Suppose v(z) = 0. Calculate z.
-1, -1/3
Let x(v) be the first derivative of 0 + 2 + 3*v + 6*v**2 + v**3 + 1 - 3*v**2. Factor x(w).
3*(w + 1)**2
Let f(a) = 4*a + 88. Let s be f(-22). Factor 2/11*r**4 - 6/11*r**5 + 0 + s*r + 0*r**2 + 0*r**3.
-2*r**4*(3*r - 1)/11
Let 2/5*s - 2/5*s**3 - 4/5 + 4/5*s**2 = 0. What is s?
-1, 1, 2
Let u be 1 - (-1 - (2 + -2)). Determine a, given that 28*a**u + 3*a**4 + 12*a + 10*a**3 + 18*a**4 - 3*a**4 + 22*a**3 + 4*a**5 + 2 = 0.
-1, -1/2
Let g(k) = -2*k. Let b = -6 + 8. Let d be g(b). Let a(r) = -r**2 + 1. Let u(c) = -5*c**2 + 5. Let m(t) = d*a(t) + u(t). Factor m(x).
-(x - 1)*(x + 1)
Let t(f) be the first derivative of -f**4/12 - 5*f**3/9 - 4*f**2/3 - 4*f/3 - 27. Factor t(q).
-(q + 1)*(q + 2)**2/3
Let m(f) be the second derivative of -1/3*f**3 + 0 + 1/21*f**7 + 1/3*f**4 + 0*f**2 + 0*f**5 - 3*f - 2/15*f**6. Factor m(u).
2*u*(u - 1)**3*(u + 1)
Let z(v) = v**2 - 16*v + 28. Let d be z(14). Factor 2/11*c**2 + d + 2/11*c.
2*c*(c + 1)/11
Suppose 2*c - 5 = -3*c. Let i be 1/((-2)/(-4))*c. Let q**3 + 2*q**3 - 2*q**2 + q**2 + 6*q**2 + i*q = 0. What is q?
-1, -2/3, 0
Let o(f) be the second derivative of -f**7/8820 - 3*f**4/4 + 4*f. Let q(n) be the third derivative of o(n). Let q(x) = 0. Calculate x.
0
Let w(m) be the second derivative of 1/12*m**4 + 0 - 3*m - 1/2*m**2 + 0*m**3. Solve w(l) = 0 for l.
-1, 1
Let i(u) be the third derivative of u**7/245 - u**6/84 - u**5/210 + 5*u**4/84 - 2*u**3/21 - u**2. Solve i(m) = 0 for m.
-1, 2/3, 1
Suppose -a = 8 - 12. Let v be -5*(a/(-8) - 0). Factor -25/2*s**3 + v*s**2 + 8*s + 2.
-(s - 1)*(5*s + 2)**2/2
Let b(x) be the first derivative of 3*x**7/28 + x**6/30 - 9*x**5/40 - x**4/12 - 3*x + 2. Let a(k) be the first derivative of b(k). Let a(g) = 0. What is g?
-1, -2/9, 0, 1
Let i(p) = -p**3 + p**2 + p - 1. Let n(z) = 81*z**3 - 86*z**2 - 11*z + 16. Let d(y) = -6*i(y) - n(y). Determine s, given that d(s) = 0.
-1/3, 2/5, 1
Let r(k) be the second derivative of k**5/80 - k**4/24 + k**3/24 + 10*k. Find q, given that r(q) = 0.
0, 1
Suppose 3*p - 4*r + 8 = 0, p = -3*r + 1 + 5. Solve 0*g - 24/5*g**3 + p - 18/5*g**4 + 14/5*g**5 + 8/5*g**2 = 0.
-1, 0, 2/7, 2
Let i = 90 - 86. Suppose 4/3*g**i + 0 + 0*g + 1/3*g**2 + 4/3*g**3 = 0. Calculate g.
-1/2, 0
Let r(m) be the first derivative of m**5/10 - m**4/2 + 5*m**3/6 - m**2/2 - 11. Factor r(z).
z*(z - 2)*(z - 1)**2/2
Suppose -10*z - 12*z = 8*z. Factor -2*s**3 - 2/3*s**5 + z + 2*s**4 + 0*s + 2/3*s**2.
-2*s**2*(s - 1)**3/3
Let m = 11 - 7. Let r = 7 - m. Factor -4*n**4 + r*n**3 - n**5 - 3*n**5 - 5*n**3 + 2*n**5.
-2*n**3*(n + 1)**2
Let l be (-6)/21 + 22/28. Let p(k) be the second derivative of -2*k - l*k**2 + 0 - 1/3*k**3 - 1/12*k**4. Factor p(g).
-(g + 1)**2
Let q(z) = z**5 - 2*z**4 - 4*z**3 + 2*z**2 + 3*z + 2. Let n(a) = -6*a**5 + 13*a**4 + 25*a**3 - 13*a**2 - 19*a - 13. Let d(i) = -6*n(i) - 39*q(i). Factor d(c).
-3*c*(c - 1)**2*(c + 1)**2
Factor 3*x + 2*x**2 - x**2 + 4 - 2*x**2.
-(x - 4)*(x + 1)
Let s(j) be the first derivative of 3*j**5/80 + j**4/16 - 4*j - 4. Let m(n) be the first derivative of s(n). Suppose m(b) = 0. What is b?
-1, 0
Let m(x) be the first derivative of 0*x**4 - 4 + 3/4*x**2 + 0*x - 1/4*x**6 - x**3 + 3/5*x**5. Factor m(j).
-3*j*(j - 1)**3*(j + 1)/2
Let w be 10/6 - 10/15. Let t = w + 1. Factor -b**2 - b - b + 2*b**4 - b**4 + t*b**3.
b*(b - 1)*(b + 1)*(b + 2)
Find g such th