
-1, 2/7, 2
Let g be (-6)/(-15) + 128/5. Factor -4*l**3 + 31*l**3 - 15*l**2 - g*l**4 + 5*l**4 + 3*l + 6*l**5.
3*l*(l - 1)**3*(2*l - 1)
Let g(j) = -j**2 - 8*j - 2. Let h be g(-7). Let i(a) be the third derivative of 0*a - 1/30*a**h + 1/240*a**6 - 1/6*a**3 + 0 + 5/48*a**4 - 2*a**2. Factor i(w).
(w - 2)*(w - 1)**2/2
Let c = 151 - 151. Factor 0 + c*h - 1/4*h**3 + 1/2*h**2.
-h**2*(h - 2)/4
Let b(i) be the second derivative of -i**7/273 - 4*i**6/195 + i**5/65 + 2*i**4/13 - 3*i**3/13 + 45*i. Factor b(m).
-2*m*(m - 1)**2*(m + 3)**2/13
Find r, given that -4/7*r**3 - 2/7 + 2/7*r**4 + 0*r**2 + 4/7*r = 0.
-1, 1
Solve 0 + 3/4*r**5 + 3/4*r**4 + 0*r - 3/4*r**3 - 3/4*r**2 = 0.
-1, 0, 1
Factor 1 - 1/4*n**3 - 1/4*n**2 + n.
-(n - 2)*(n + 1)*(n + 2)/4
Suppose 5*f - 30 = -20. Let t(p) be the first derivative of -1/6*p**3 + 1/24*p**6 - 2 + 1/8*p**4 - 3/8*p**f - 1/4*p + 3/20*p**5. Factor t(o).
(o - 1)*(o + 1)**4/4
Let x = 7 - 2. Factor -j**4 + 6*j**3 - 12*j**2 - j**4 + 3*j + x*j + j**4.
-j*(j - 2)**3
Let j be 2/(4/(-14) + 1221/231). Determine r so that 0*r**2 + 0*r + 9/5*r**4 + j*r**3 + 0 = 0.
-2/9, 0
Let p(a) be the third derivative of a**7/210 - 17*a**6/600 + 7*a**5/100 - 11*a**4/120 + a**3/15 + 3*a**2. Let p(h) = 0. Calculate h.
2/5, 1
Let q be (-10)/(-14)*(-14)/(-35). Let w be (-9)/21*17/3 - -3. Factor -q*d + w + 2/7*d**4 - 6/7*d**2 + 2/7*d**3.
2*(d - 1)**2*(d + 1)*(d + 2)/7
Let u be (-1)/(1/3 - (-66)/(-36)). Solve 0*z**2 + u*z**4 - 2/3*z**5 + 0*z**3 + 0 + 0*z = 0 for z.
0, 1
Let s(f) = -f**4 - f**3 - f. Let b(l) = -l + 3. Let g be b(4). Let c(t) = -4*t**4 - 4*t**3 - 5*t. Let n(a) = g*c(a) + 5*s(a). Suppose n(i) = 0. Calculate i.
-1, 0
Factor -3/2*d + 1/2*d**2 + 0.
d*(d - 3)/2
Suppose -i - i + 6 = 0. Let w be (1/4)/(3/i). Let -w*s**2 - 1/2*s - 1/4 = 0. Calculate s.
-1
Let m(b) be the second derivative of b**7/630 - b**6/90 + b**5/30 + 7*b**4/12 - 5*b. Let u(r) be the third derivative of m(r). Factor u(f).
4*(f - 1)**2
Let r(s) be the first derivative of 5*s**3/3 + 95*s**2/4 + 45*s/2 + 4. Factor r(h).
5*(h + 9)*(2*h + 1)/2
Let x be (4 - 1) + -1 + 0. Suppose 4 + x = 2*y. Suppose 0 + 0*h**2 + 1/3*h - 1/3*h**y = 0. What is h?
-1, 0, 1
Factor -4/7*v**3 + 0 + 2/7*v**2 + 0*v + 2/7*v**4.
2*v**2*(v - 1)**2/7
Let m be (12/(-8))/((-6)/8). Factor -g + 2*g - m - 5*g - 2*g**2.
-2*(g + 1)**2
Let y(a) be the first derivative of -3*a**5/10 + 3*a**4/2 - 5*a**3/2 + 3*a**2/2 - 9. Factor y(t).
-3*t*(t - 2)*(t - 1)**2/2
Solve 0 - 10/9*w**4 - 14/9*w**5 - 4/9*w + 2*w**3 + 10/9*w**2 = 0.
-1, 0, 2/7, 1
Determine p, given that 0*p**3 + 0*p - 1/3*p**2 + 0 + 1/3*p**4 = 0.
-1, 0, 1
Let i = 9 - 5. Let o be (24/(-21))/i*-2. Factor -6/7*l**3 + 6/7*l - 4/7 + o*l**2.
-2*(l - 1)*(l + 1)*(3*l - 2)/7
Let g(l) be the first derivative of -l**6/108 + l**5/90 - l**3 + 9. Let y(n) be the third derivative of g(n). Solve y(f) = 0.
0, 2/5
Let y(g) be the first derivative of 1 + 0*g**3 + 1/12*g**4 - 1/6*g**2 + 0*g. Factor y(b).
b*(b - 1)*(b + 1)/3
Let y(d) be the second derivative of 0 - d**2 - 1/15*d**6 - 2*d - d**4 + 2/5*d**5 + 4/3*d**3. Factor y(p).
-2*(p - 1)**4
Let z be -1*(-3 + 3)*5/(-15). Solve 0 + 0*k**2 + 1/4*k**3 + z*k = 0.
0
Let t(l) be the first derivative of -1/2*l**2 - 2 + 5/3*l**3 + 0*l - l**4. Let t(s) = 0. Calculate s.
0, 1/4, 1
Determine q, given that 2/5*q**4 - 2/5*q**2 - 3/5*q**3 + 0 + 3/5*q = 0.
-1, 0, 1, 3/2
Factor 2/7*w**4 - 8/7*w**3 + 0 + 10/7*w**2 - 4/7*w.
2*w*(w - 2)*(w - 1)**2/7
Let a be (-2 + 0 - -2) + -10. Let x be (-5)/a - (-2)/12. Factor 4/3 + 2*j + x*j**2.
2*(j + 1)*(j + 2)/3
Let j(x) be the first derivative of -7/9*x**6 - 1 + 0*x**2 - 1/2*x**4 + 0*x + 4/9*x**3 - 8/5*x**5. Factor j(q).
-2*q**2*(q + 1)**2*(7*q - 2)/3
Suppose -8*t + 34 + 126 = 0. Suppose 0 = -t*b + 17*b. Solve -3/2*y**3 + 0 - 1/2*y**5 + 3/2*y**4 + b*y + 1/2*y**2 = 0.
0, 1
Factor 2/15*c**3 - 8/15*c + 0*c**2 + 0.
2*c*(c - 2)*(c + 2)/15
Let o(l) be the second derivative of -3*l**5/20 - l**4/4 + l**3/2 + 3*l**2/2 - 33*l. Factor o(s).
-3*(s - 1)*(s + 1)**2
Let h(u) be the first derivative of -u**5/30 - u**4/3 - 4*u**3/3 - 5*u**2/2 - 3. Let y(i) be the second derivative of h(i). Factor y(m).
-2*(m + 2)**2
Factor 0 + 3/4*p**2 - 3/2*p**3 + 3/2*p - 3/4*p**4.
-3*p*(p - 1)*(p + 1)*(p + 2)/4
Let p(d) be the first derivative of 3/16*d**4 + 1/24*d**6 + 0*d**2 - 1 + 0*d + 1/12*d**3 + 3/20*d**5. Find r, given that p(r) = 0.
-1, 0
Suppose -4*m + 12 = 5*s, m + 12 = 5*m + s. Find d such that -1 - 6*d**3 + d**5 - 2*d**2 + 4*d**3 - m*d + 4*d**3 + 3*d**4 = 0.
-1, 1
Let y be 0/(-3 - 0) - (-15)/20. Solve 0 + 0*b + y*b**3 - 3/4*b**4 + 0*b**2 = 0.
0, 1
Find p such that 8/9*p**2 + 2/9*p + 0 = 0.
-1/4, 0
Let g(i) be the third derivative of -i**8/196 + 3*i**6/280 + i**5/140 + 8*i**2. Factor g(d).
-3*d**2*(d - 1)*(2*d + 1)**2/7
Let z = -5 - -7. What is f in 5*f + z*f**4 - 5*f**3 - 3*f - f**3 - f**2 + 4*f**5 - f**2 = 0?
-1, 0, 1/2, 1
Let s(l) be the first derivative of l**5/5 - 3*l**4/4 - l**3/3 + 3*l**2/2 + 5. Let s(a) = 0. Calculate a.
-1, 0, 1, 3
Suppose 0*i = -i. Suppose 0 = 3*z + 4*z - 21. Let -2/3*k**z - 1/3*k**2 + 0*k + i - 1/3*k**4 = 0. What is k?
-1, 0
Let s(w) = 4*w**2 - 7*w + 1. Let q(u) = 5*u**2 - 8*u. Let o(x) = 3*q(x) - 4*s(x). Determine v so that o(v) = 0.
2
Let v = 897 - 894. Suppose -v*x - 3/4*x**2 + 0 = 0. What is x?
-4, 0
Let -2/7*a**5 - 10/7*a + 20/7*a**2 + 10/7*a**4 - 20/7*a**3 + 2/7 = 0. What is a?
1
Let i(k) be the first derivative of k**4/8 + 5*k**3/3 + 8*k**2 + 16*k - 15. Determine s, given that i(s) = 0.
-4, -2
Factor 1/12*q**4 - 1/4*q**2 + 1/6 - 1/12*q**3 + 1/12*q.
(q - 2)*(q - 1)*(q + 1)**2/12
Suppose 10/3*i + 4/3*i**2 - 2 = 0. What is i?
-3, 1/2
Suppose 5*z + 18 = 5*a - 7, 3*a - 5 = -2*z. Factor 1/2*v**a + 0 + 1/2*v - v**2.
v*(v - 1)**2/2
Suppose -4*w + 21 = -y - 0*y, w - 10 = 5*y. Let f(v) be the third derivative of 0 + 1/240*v**w + v**2 + 1/6*v**3 + 1/24*v**4 + 0*v. Let f(d) = 0. What is d?
-2
Let b(w) = 4*w - 62. Let p be b(16). Factor 2/5*a + 0 + 2/5*a**p.
2*a*(a + 1)/5
Suppose -1 - 5*y**2 + 10*y**2 + 0*y**2 - 4*y**2 = 0. Calculate y.
-1, 1
Let l(r) = r**3 - 27*r**2 + 24*r + 54. Let x be l(26). Factor -2/5*u**x + 4/5*u + 6/5.
-2*(u - 3)*(u + 1)/5
Let t(m) be the first derivative of -4*m**3 - 20*m**2 + 32*m - 3. Determine b so that t(b) = 0.
-4, 2/3
Let l(w) be the third derivative of -w**5/180 - w**4/18 + 2*w**3/3 - 3*w**2 + 13*w. Suppose l(i) = 0. What is i?
-6, 2
Let r be 27/(-21) - -2 - (-14)/(-98). Factor -4/7*s**3 - 2*s - 4/7 - 16/7*s**2 + 2/7*s**5 + r*s**4.
2*(s - 2)*(s + 1)**4/7
Let p(i) be the first derivative of -7 - 2/9*i + 0*i**2 + 2/27*i**3. Find j such that p(j) = 0.
-1, 1
Let u = 16/233 - 9649/1398. Let w = 311/42 + u. Determine f, given that -2/7*f**2 - w*f - 2/7 = 0.
-1
Let s(g) be the second derivative of 0*g**3 + 1/12*g**4 + 0 + 0*g**2 - 1/20*g**5 + 3*g. Factor s(d).
-d**2*(d - 1)
Let l = -29/234 + 9/26. Factor -2/9*f**3 + l*f + 0*f**2 + 0.
-2*f*(f - 1)*(f + 1)/9
Let z(m) be the second derivative of -m**10/75600 + m**8/16800 - m**4/3 + 2*m. Let d(a) be the third derivative of z(a). Factor d(b).
-2*b**3*(b - 1)*(b + 1)/5
Let u(a) be the first derivative of a**5/25 + 3*a**4/20 - 2*a**2/5 + 19. Solve u(n) = 0 for n.
-2, 0, 1
Let t(h) be the second derivative of h**4/6 + 5*h**3/3 + 6*h**2 - 32*h. Let t(n) = 0. Calculate n.
-3, -2
Let u(h) = h**3 - h**2 + h - 1. Let q(d) = 3*d**4 - 3*d**3 - 3*d**2 + 15*d - 12. Let f(m) = -q(m) + 6*u(m). Find v such that f(v) = 0.
-1, 1, 2
Let p(u) = 2 - 3*u + 4 + 2*u. Let i be p(6). Factor -2/5*o**2 + 0 + i*o - 2/5*o**3.
-2*o**2*(o + 1)/5
Let q(n) be the first derivative of n**4/6 - 10*n**3/9 + 2*n**2 + 14. Factor q(p).
2*p*(p - 3)*(p - 2)/3
Let m(r) be the first derivative of 1/9*r**3 + 1/3*r**4 - 1/3*r - 3 - 2/3*r**2. Factor m(g).
(g - 1)*(g + 1)*(4*g + 1)/3
Let s = -3 - -6. Let n = 5 - s. Solve 1 + 3*c**n - c**2 + 2*c - c**2 = 0.
-1
Suppose 5*l + 1 = u, 0 = u + 4*l - 11 + 1. Let n = -4 + u. Factor -f**5 + 0 + 0*f - 4/3*f**4 + 2/3*f**n + 1/3*f**3.
-f**2*(f + 1)**2*(3*f - 2)/3
Let s = 231 + -228. Factor 2/3*o**s - 8/3*o**2 - 4/3 + 10/3*o.
2*(o - 2)*(o - 1)**2/3
Let z be (-2 - 0) + 1 - 0. Let b = 3 - z. Solve 5*l**2 + 4*l**3 - 3*l**4 - 3*l**2 + 5*l**b = 0.
-1, 0
Let w(m) be the second derivative of 0*m**4 - 1/10*m**5 + 1/6*m**3 + 1/42*m**7 + 0 + 0*m**6 + 3*m 