7*a - 2)**2/9
Let m = 201/5 - 199/5. Factor 0*h**3 + 0 - m*h**5 + 4/5*h**4 + 2/5*h - 4/5*h**2.
-2*h*(h - 1)**3*(h + 1)/5
Let z = 111 - 659/6. Let h(u) be the first derivative of -5/3*u**3 + u**5 - 1 + 9/4*u**4 - z*u**6 + 0*u - u**2. Let h(k) = 0. Calculate k.
-1, -2/7, 0, 1
Suppose 16/11*x - 18/11*x**2 - 16/11*x**3 + 10/11*x**4 + 8/11 = 0. What is x?
-1, -2/5, 1, 2
Suppose -4*j + 3*c - 1 = -0*j, 4*j = -2*c + 14. Factor -3 - 21*r**j - 16*r - 1 + r**3 - 10*r**3.
-(r + 1)*(3*r + 2)**2
Factor -4*g**3 - 102*g**2 + 91*g**2 + 3*g**3 - 19*g - 9.
-(g + 1)**2*(g + 9)
Solve 3/4*q**2 - 1/4*q + 0 = 0 for q.
0, 1/3
Factor -1/2*y - 1/4 - 1/4*y**2.
-(y + 1)**2/4
Let z(l) be the second derivative of 2*l - 1/54*l**4 - 16/9*l**2 + 0 + 8/27*l**3. Factor z(v).
-2*(v - 4)**2/9
Suppose 2*n + c - 12 = 2*c, -3*c = -4*n + 24. Suppose -4*z = 2*p + n - 0, 0 = 4*z + 5*p + 15. Factor 2/7*s**2 - 2/7*s + z.
2*s*(s - 1)/7
Let n(q) be the second derivative of 0*q**3 + 0*q**4 + 0*q**2 - 1/15*q**6 - 1/20*q**5 + 0 - 1/42*q**7 - q. Determine p, given that n(p) = 0.
-1, 0
Let c(r) be the second derivative of 5*r**4/4 + 35*r**3/6 + 5*r**2 - 33*r. Determine g, given that c(g) = 0.
-2, -1/3
Factor -3/4*p**4 - 3/2*p + 3/4 + 0*p**2 + 3/2*p**3.
-3*(p - 1)**3*(p + 1)/4
Suppose -2*p - 178 = -10. Let r be (-2)/(-3) + 32/p. Factor -r*t + 0 - 2/7*t**2.
-2*t*(t + 1)/7
Determine v, given that 0 + 2/7*v**2 - 2/7*v = 0.
0, 1
Let a(i) be the third derivative of -i**8/1176 + i**7/735 - 14*i**2. Determine x, given that a(x) = 0.
0, 1
Let o(v) be the first derivative of v**5/30 - v**4/12 + v**2 + 4. Let q(j) be the second derivative of o(j). Find f such that q(f) = 0.
0, 1
Let b(j) be the second derivative of 0*j**3 - 1/7*j**2 + 2*j + 0 + 1/42*j**4. Factor b(c).
2*(c - 1)*(c + 1)/7
Determine b so that 9*b**2 - 2*b**2 + 2 - 3*b - 4*b**2 - 2*b**2 = 0.
1, 2
Let k(j) be the first derivative of -25*j**6/4 + 54*j**5 - 507*j**4/8 - 39*j**3 + 51*j**2 + 36*j - 10. Solve k(x) = 0 for x.
-2/5, 1, 6
Let k(s) be the first derivative of 5/3*s**2 - 2 - 4/3*s - 8/9*s**3 + 1/6*s**4. Factor k(w).
2*(w - 2)*(w - 1)**2/3
Let p(g) be the third derivative of -4*g**7/315 + g**6/60 + g**5/90 - 24*g**2. Factor p(o).
-2*o**2*(o - 1)*(4*o + 1)/3
Let k be 12/(-18)*(41/14 + -3). Let r(m) be the third derivative of k*m**4 + 4/21*m**3 - m**2 + 0 + 0*m + 1/210*m**5. Factor r(o).
2*(o + 2)**2/7
Let c(a) be the second derivative of -5*a**5/4 + 5*a**4/6 + 25*a**3/6 - 5*a**2 - a. Determine k, given that c(k) = 0.
-1, 2/5, 1
Let m = 8 - -1. Suppose -4*v = -m*v. Let 2/5*n**2 + 0 + 6/5*n**3 + 2/5*n**5 + 6/5*n**4 + v*n = 0. Calculate n.
-1, 0
Let a(c) be the first derivative of -14*c**5/5 + 6*c**4 - 2*c**3 - 2*c**2 + 12. Let a(r) = 0. Calculate r.
-2/7, 0, 1
Let i(h) be the third derivative of -h**5/30 + h**4/4 - 2*h**3/3 - h**2. Factor i(o).
-2*(o - 2)*(o - 1)
Factor 4/7*g**2 + 2/7 + 2/7*g**5 + 4/7*g**3 - 6/7*g - 6/7*g**4.
2*(g - 1)**4*(g + 1)/7
Factor -12*c**2 - 2*c**2 + 0*c + 12*c**2 - 18*c.
-2*c*(c + 9)
Let q be 1/((-99)/(-6))*3. Suppose 10 = -2*d, x - 31*d - 12 = -29*d. Let -2/11*c**3 - 2/11*c**x + 2/11*c**4 + 0 + q*c = 0. What is c?
-1, 0, 1
Let 4*c**2 + 14 + 24*c + 17 + 1 = 0. What is c?
-4, -2
Let c(u) = u**2 - u - 1. Let m(l) = 2*l**3 + 26*l**2 + 40*l + 24. Let w(r) = 8*c(r) - m(r). Solve w(t) = 0.
-4, -1
Let g(t) be the second derivative of 0 - t + 2/35*t**6 - 1/21*t**4 + 0*t**2 - 1/14*t**5 + 1/21*t**3. Solve g(b) = 0 for b.
-1/2, 0, 1/3, 1
Let w be (7 - 1) + (-4)/2. Let 6*i - 6*i - 4*i**2 + i**5 + w*i**4 + i**5 - 2*i**3 = 0. What is i?
-2, -1, 0, 1
Let g(m) be the second derivative of m**7/168 - m**6/180 + m**3/3 - m. Let h(o) be the second derivative of g(o). Solve h(r) = 0.
0, 2/5
Factor 12*x**2 + 0 - 4/3*x**3 - 32/3*x.
-4*x*(x - 8)*(x - 1)/3
Let t = 83/2 + -41. Let y be 5/(-1)*(-2)/5. Factor t*m**y + 0 + 0*m.
m**2/2
Suppose 2*o + 2*f = 20, -o = -6*o + f + 62. Factor -8*i**2 - 3*i**4 + 7*i + o*i**3 + 0*i**2 - i - 7*i**2.
-3*i*(i - 2)*(i - 1)**2
Solve 6*l**3 + 2 - 10 + 4*l**3 - 23*l + 7*l + 14*l**2 = 0 for l.
-2, -2/5, 1
Factor 3/5 + 3/5*q**2 - 6/5*q.
3*(q - 1)**2/5
Let g(x) = -x**2 - x + 2. Suppose -4*z - 8 = -0*z. Let v be g(z). Find b, given that 0*b + v - 2/7*b**2 + 4/7*b**3 - 2/7*b**4 = 0.
0, 1
Let a = 42 - 42. Let z(u) be the second derivative of -7/30*u**6 + 0*u**4 + 3*u + a*u**3 - 5/42*u**7 + 0*u**2 + 0 - 1/10*u**5. Factor z(v).
-v**3*(v + 1)*(5*v + 2)
Let s(r) be the third derivative of -r**8/336 + 2*r**7/105 - r**6/20 + r**5/15 - r**4/24 + 6*r**2. Factor s(l).
-l*(l - 1)**4
Let m(u) be the first derivative of -u**3 - 15*u**2 - 75*u - 8. Factor m(o).
-3*(o + 5)**2
Suppose 2*o - 4 = 3*p - 2, p - 6 = -o. Factor -3*n**p - 4*n + n + 6*n + 3*n.
-3*n*(n - 2)
Suppose 162 = 4*b - 10*b. Let m = b + 27. Factor 0 + m*d + 1/3*d**2 + 1/3*d**4 - 2/3*d**3.
d**2*(d - 1)**2/3
Let f(l) be the first derivative of -5*l**4/22 + 4*l**3/3 - 28*l**2/11 + 16*l/11 - 5. Solve f(p) = 0 for p.
2/5, 2
Factor -30/7*s**4 + 30/7*s**2 + 18/7*s**5 - 10/7*s**3 - 8/7 + 0*s.
2*(s - 1)**3*(3*s + 2)**2/7
Let j(p) be the first derivative of 4*p**5/5 - 12*p**4/5 - 4*p**3/15 + 24*p**2/5 - 16*p/5 - 4. Determine u, given that j(u) = 0.
-1, 2/5, 1, 2
Let t be (-3 + 2)*1*-5. Let u be ((-4)/(-3))/(-2 + t). Find q, given that 2/9 + 14/9*q**4 - 8/9*q**5 - 16/9*q**2 + u*q**3 + 4/9*q = 0.
-1, -1/4, 1
Let z = 43/10 + -39/10. Factor -2/5*p**4 + 0 + 2/5*p**2 - z*p + 2/5*p**3.
-2*p*(p - 1)**2*(p + 1)/5
Factor 1/2*z**2 - z - 3/2.
(z - 3)*(z + 1)/2
Let w(r) be the first derivative of 1/2*r - 7/8*r**2 - 3/16*r**4 - 3 + 2/3*r**3. Factor w(m).
-(m - 1)**2*(3*m - 2)/4
Let r be 0*(6/4 + -1). Suppose -4*w = 5*w - 36. Factor r*o + 2*o - w*o**3 + 2*o**3.
-2*o*(o - 1)*(o + 1)
Let 0*q - q - q + 2*q**3 - q**4 - 15*q**2 + 16*q**2 = 0. What is q?
-1, 0, 1, 2
Let b be 2/9 + 545/(-2520). Let r(a) be the third derivative of 1/20*a**6 + 0*a**3 - 1/35*a**7 + 0 + 0*a - 1/30*a**5 + b*a**8 - a**2 + 0*a**4. Factor r(z).
2*z**2*(z - 1)**3
Let h(b) be the second derivative of b**8/2240 - b**7/504 + 7*b**6/2160 - b**5/360 + b**4/4 - b. Let v(p) be the third derivative of h(p). Solve v(a) = 0 for a.
1/3, 1
Suppose -t = -2*u - 3*u + 13, 5 = -u + 4*t. Factor -3*i + 3*i - 6*i**2 - 5*i**3 + 2*i - 3*i**u.
-2*i*(i + 1)*(4*i - 1)
Let m(c) = -10*c**4 - c**3 + 11*c + 11. Let y(v) = v**4 - v - 1. Let p(i) = 4*m(i) + 44*y(i). Factor p(z).
4*z**3*(z - 1)
Let z(a) be the third derivative of -a**7/105 + a**6/20 - 3*a**2. Suppose z(p) = 0. Calculate p.
0, 3
Let j(t) be the third derivative of 0 - 1/240*t**6 + 0*t - t**2 + 0*t**3 + 0*t**4 + 1/120*t**5 + 1/672*t**8 - 1/420*t**7. Factor j(v).
v**2*(v - 1)**2*(v + 1)/2
Let a = -897 - -269101/300. Let x(i) be the third derivative of -a*i**5 + 1/120*i**4 + i**2 + 0*i**3 + 0*i + 0. Solve x(f) = 0.
0, 1
What is t in 13/6*t - 11/6*t**2 - 1/3 = 0?
2/11, 1
Suppose -6*x + 3*x + 19 = 5*n, -5*x = 4*n - 10. Let v(a) be the third derivative of 0*a + 0*a**3 + 3*a**2 + 0 - 1/48*a**4 - 1/120*a**n. Factor v(r).
-r*(r + 1)/2
Let z(h) be the first derivative of h**5/10 + 3*h**4/4 + 4*h**3/3 - 3*h**2/2 - 9*h/2 + 1. Suppose z(o) = 0. Calculate o.
-3, -1, 1
Let v(i) be the third derivative of -i**7/525 + i**6/300 + i**5/150 - i**4/60 - 8*i**2. Factor v(d).
-2*d*(d - 1)**2*(d + 1)/5
Factor 0 - 1/11*j**2 + 9/11*j.
-j*(j - 9)/11
Let i(o) be the second derivative of o**7/420 - o**6/300 - o**5/100 + o**4/60 + o**3/60 - o**2/20 - 15*o. Determine z so that i(z) = 0.
-1, 1
Let i(p) = -12*p**3 + p**2 + 2*p + 1. Let j be i(-1). Let k = j + -10. Suppose -10/3*w - 4/3 + 14/3*w**k = 0. Calculate w.
-2/7, 1
Let w be (-4 - -4)/(2*1). Let k = w - -1/2. Determine u so that k*u + 1/2*u**3 + 0 - u**2 = 0.
0, 1
Let v(b) be the first derivative of -b**3/3 + b**2/6 - 1. Suppose v(y) = 0. What is y?
0, 1/3
Factor 4/9 - 2/9*c + 2/9*c**3 - 4/9*c**2.
2*(c - 2)*(c - 1)*(c + 1)/9
Let r(n) = 6*n**2 - 19*n - 5. Let k(t) = -t**2 + 4*t + 1. Let o(d) = -11*k(d) - 2*r(d). Let f be o(-3). Factor 3*i - f*i**2 + 5*i - 2*i + 1 + 1.
-2*(i - 1)*(4*i + 1)
What is w in 100/7*w - 428/7*w**2 - 256/7*w**5 - 8/7 - 64/7*w**4 + 656/7*w**3 = 0?
-2, 1/4, 1
Let p(v) be the first derivative of v**6/36 + v**5/30 - v**4/8 - v**3/18 + v**2/6 - 51. Suppose p(x) = 0. Calculate x.
-2, -1, 0, 1
Let j = -15 - -16. Let i be (4/4 + -1)/j. Factor 