3*g**2 - 8/9*g**3. Factor v(y).
-2*(y - 1)*(4*y - 1)/3
Let p(u) = 4*u**3 + 2*u**2 - 6*u. Let j(i) = -i**3 + i. Let k(o) = 10*j(o) + 2*p(o). Let k(h) = 0. Calculate h.
0, 1
Let h(w) = -2*w. Suppose 3*f + 20 = -2*f. Let o be h(f). Factor -6*g + 0*g**3 - 2*g - 2 + 2*g**2 + o*g**3.
2*(g - 1)*(g + 1)*(4*g + 1)
Suppose -5*l = -0 - 0. Let v(r) be the third derivative of -1/360*r**6 + 1/180*r**5 + 0 + l*r**3 - 1/630*r**7 + r**2 + 1/72*r**4 + 0*r. Solve v(q) = 0 for q.
-1, 0, 1
Let s(u) be the third derivative of 3*u**7/70 + 7*u**6/40 + u**5/4 + u**4/8 + 8*u**2. Determine n so that s(n) = 0.
-1, -1/3, 0
Let n(h) be the second derivative of h**4/54 + 7*h**3/27 - 8*h**2/9 + 32*h. Factor n(x).
2*(x - 1)*(x + 8)/9
Factor 0*i + 0 + 1/3*i**2.
i**2/3
Let l = -27 - -29. Find n, given that 0*n**l + 0*n + 2/7*n**3 + 0 = 0.
0
Let u(o) be the third derivative of 3*o**2 - 1/6*o**4 + 1/60*o**5 + 1/2*o**3 + 0 + 0*o. Find z, given that u(z) = 0.
1, 3
Let s = -15 + 27. Suppose 0 = 2*y + 2 - s. Factor -x**5 + 2*x**y - 2*x**4 - 3*x**5.
-2*x**4*(x + 1)
Suppose -2*f = -7*f + 25. Determine q, given that 2*q**4 + f*q**3 - q + 3*q + 0*q**2 - 2*q**2 - 7*q**3 = 0.
-1, 0, 1
Let a(m) be the third derivative of m**9/83160 + m**8/36960 + m**4/12 - 2*m**2. Let w(r) be the second derivative of a(r). Suppose w(l) = 0. What is l?
-1, 0
Determine n so that -8*n**2 + 6*n + 48 - 7*n**2 - 48 = 0.
0, 2/5
Let r(d) be the first derivative of 4*d**3/3 - 4*d + 6. Factor r(y).
4*(y - 1)*(y + 1)
Let j(c) = -c**2 - 11*c + 15. Let m be j(-12). Let -94/3*h**m - 194/9*h**2 - 22*h**4 - 64/9*h - 8/9 - 6*h**5 = 0. What is h?
-1, -2/3, -1/3
Factor -1/4*b**2 + 1/4*b + 0.
-b*(b - 1)/4
Let 12/5 - 13/5*h + 1/5*h**2 = 0. What is h?
1, 12
Suppose -3 = -4*u + 5. Let h(r) = -3*r**4 + 2*r**3 + r**2 + 2*r - 2. Let y(n) = 7*n**4 - 5*n**3 - 2*n**2 - 5*n + 5. Let i(g) = u*y(g) + 5*h(g). Solve i(f) = 0.
-1, 0, 1
Let k(b) be the third derivative of -b**8/2100 + b**7/210 - 7*b**6/450 + b**5/50 + 2*b**3/3 - b**2. Let s(z) be the first derivative of k(z). Factor s(m).
-4*m*(m - 3)*(m - 1)**2/5
Let b be ((-144)/160)/(-5 + -1). Let w(k) be the second derivative of -1/4*k**4 - 1/6*k**3 - 1/30*k**6 + 0 - b*k**5 + 0*k**2 + k. Let w(m) = 0. Calculate m.
-1, 0
Suppose -5 = -5*h + 10. Let d be h + (0 - -1)*-1. Factor -1 + 1 + 2*l**2 + d*l.
2*l*(l + 1)
Let x = -171/34 - -3473/170. Let z = -54 + 58. Suppose -32/5*u + 73/5*u**2 - x*u**z - 17/5*u**3 + 4/5 + 49/5*u**5 = 0. Calculate u.
-1, 2/7, 1
Let v(q) = -q**2 + 7*q + 8. Let j be v(8). Let b(p) be the first derivative of j*p**2 + 0*p - 3/5*p**5 + 1 - 1/6*p**6 - 3/4*p**4 - 1/3*p**3. Factor b(r).
-r**2*(r + 1)**3
Let g(l) be the third derivative of -l**6/180 + l**5/30 - l**4/12 - l**3/3 + 2*l**2. Let o(r) be the first derivative of g(r). Factor o(u).
-2*(u - 1)**2
Suppose 6*g + 17*g**2 + 16 - 9*g - 5*g - 16*g**2 = 0. Calculate g.
4
Let o(b) = 6*b**2. Let f(r) = r**3 + 5*r**2 - r - 4. Let y be f(-5). Let n(d) = -d**2 + d. Let u(t) = y*o(t) + 4*n(t). Find p such that u(p) = 0.
-2, 0
Let o = 35 + -21. Let n be 4/14 + 24/o. Find t such that 0 - 1/2*t**n + 1/2*t = 0.
0, 1
Let x(f) be the second derivative of f**7/105 - 2*f**6/75 + f**4/15 - f**3/15 - f. Factor x(p).
2*p*(p - 1)**3*(p + 1)/5
Suppose 4*i**3 - i**3 - 18*i**2 + i - 13*i - 11*i**3 - 2 = 0. What is i?
-1, -1/4
Suppose 0 = -q + 4 - 0. Let u be (-5)/((-210)/9)*q. Factor -4/7 - 2/7*h**2 - u*h.
-2*(h + 1)*(h + 2)/7
Let l(g) be the third derivative of g**6/240 - g**5/30 - g**4/16 + 3*g**3/2 - 8*g**2. Factor l(r).
(r - 3)**2*(r + 2)/2
Let q(d) be the second derivative of 1/4*d**4 + 3/10*d**5 - 2*d + 0*d**3 + 0*d**2 + 0 + 1/10*d**6. Factor q(f).
3*f**2*(f + 1)**2
Let a = -55/2 - -30. Let o = a - -1/6. Factor 2/3*l + o*l**4 + 0 + 8/3*l**5 - 2*l**3 - 4/3*l**2.
2*l*(l + 1)**2*(2*l - 1)**2/3
Suppose -4*b = -4*g, -2*g - 16*b + 20*b - 4 = 0. Factor 21296/5*n**3 - 32/5 + 704/5*n - 29282/5*n**4 - 5808/5*n**g.
-2*(11*n - 2)**4/5
Let s = -2 - 24. Let u = s + 30. Factor 0 + 2/5*c**u - 4/5*c**2 + 0*c - 2/5*c**3.
2*c**2*(c - 2)*(c + 1)/5
Let u(g) = -g**5 + g**4 - g**3 - g**2 + g + 1. Let w(i) = -2*i**5 + 4*i**4 - 4*i**3 - 4*i**2 + 3*i + 3. Let n(s) = 12*u(s) - 4*w(s). Factor n(y).
-4*y**2*(y - 1)*(y + 1)**2
Suppose -4*f = -2*g - 16, -2*g - 1 = 7. Factor -m**3 - m**4 + 2*m**5 + 2*m**f - 3*m**5 - m**4 + 2*m**5.
m**2*(m - 2)*(m - 1)*(m + 1)
Let n(r) = r - 5. Let f be n(3). Let m be (f - -6)*(-3)/(-6). Determine z, given that 8/9*z**m + 2/9*z + 0 + 10/9*z**3 + 4/9*z**4 = 0.
-1, -1/2, 0
Let d be 12/(-4)*2/(-3). Factor -3*j**4 - 4*j**3 + 4*j + j**4 + 5*j**2 - 3*j**d.
-2*j*(j - 1)*(j + 1)*(j + 2)
Let x be (-6)/40 + 8/20. Factor -x*d**2 - 1/4*d + 1/4*d**3 + 0 + 1/4*d**4.
d*(d - 1)*(d + 1)**2/4
Let j(u) be the third derivative of u**8/504 + u**7/315 - u**6/36 + u**5/30 - 21*u**2. Factor j(k).
2*k**2*(k - 1)**2*(k + 3)/3
Let z(w) = -w**2 - 5*w - 4. Let m(s) = -s**2 - 4*s - 4. Let a(y) = 6*m(y) - 5*z(y). Let g(l) = -4*l**2 + 3*l - 15. Let f(u) = -22*a(u) + 6*g(u). Factor f(o).
-2*(o + 1)**2
Let i be (-4)/18*-9 + (-24)/13. Let -2/13*g**5 - 4/13*g**2 + 4/13*g**3 + 2/13*g**4 + i - 2/13*g = 0. What is g?
-1, 1
Let g(i) be the first derivative of -10*i**6/3 + 5*i**5 - 5*i**4/4 + 9. Solve g(u) = 0.
0, 1/4, 1
Let n = -30676/23 + 1334. Let v = n + 16/115. Factor 0 + v*t**2 + 0*t.
2*t**2/5
Let x(m) be the second derivative of 1/6*m**4 + 0*m**2 - 3*m + 1/3*m**3 + 0 - 1/10*m**5 - 1/15*m**6. Let x(h) = 0. Calculate h.
-1, 0, 1
Let m(u) be the third derivative of -2*u**7/105 + u**6/30 + u**5/5 - 5*u**4/6 + 4*u**3/3 - 15*u**2. Factor m(w).
-4*(w - 1)**3*(w + 2)
Let o(r) = 10*r**5 + 14*r**4 + 28*r**3 - 4*r**2 - 26*r - 10. Let c(s) = -s**5 + s**4 - s - 1. Let v(x) = 6*c(x) + o(x). Solve v(a) = 0.
-2, -1, 1
Find a such that -56/5*a**3 + 64/5*a + 32/5 - 64/5*a**2 + 2*a**5 + 14/5*a**4 = 0.
-2, -2/5, 1, 2
Find f, given that 848*f**3 - 9*f + 518*f**4 - 19*f + 70*f**4 + 48 - 636*f**2 - 784*f**5 - 36*f = 0.
-1, -2/7, 2/7, 3/4, 1
Let i(a) = a**5 - a**4 - a**3 - 1. Let v(d) = d**5 - 7*d**4 + 11*d**3 - d**2 + 4. Let l(p) = -4*i(p) - v(p). Factor l(o).
-o**2*(o - 1)**2*(5*o - 1)
Find p, given that 3/2*p**4 + 4*p + 0 - 6*p**2 - 1/2*p**5 + p**3 = 0.
-2, 0, 1, 2
Solve 6/13*i**3 + 6/13*i**2 + 2/13*i**4 + 2/13*i + 0 = 0.
-1, 0
Let n(h) be the third derivative of h**6/360 + h**5/180 - h**4/72 - h**3/18 + h**2. Determine x, given that n(x) = 0.
-1, 1
Let b be (-1)/3 - (-1)/3. Suppose 4*c = -2*k - 2, b*c - c = -k + 5. Factor -11*i**2 + 2*i - 26*i + 8 + 0*i - k*i**2.
-2*(i + 2)*(7*i - 2)
Let k(j) = -3*j - 14. Let m be k(-6). Let s(f) be the second derivative of -1/21*f**3 + 0 + 1/70*f**5 + 0*f**m + 0*f**2 - 4*f. Factor s(z).
2*z*(z - 1)*(z + 1)/7
Let m = 45 + -42. Let t(q) be the first derivative of 0*q + 2/25*q**5 + 1/5*q**4 - 4 - 2/5*q**2 - 2/15*q**m. Determine w so that t(w) = 0.
-2, -1, 0, 1
Let q = 21 - 13. Suppose 0 = -3*y - 2 + q. Suppose -c**3 - 2*c - 2*c**2 + y*c = 0. What is c?
-2, 0
Let v(p) be the first derivative of 2*p**5/55 - 4*p**3/33 + 2*p/11 + 21. Determine j, given that v(j) = 0.
-1, 1
Factor 1/4*q**2 + 0 - 2*q.
q*(q - 8)/4
Let q(g) be the second derivative of g**7/126 - 2*g**6/45 + g**5/12 - g**4/18 + 8*g. Let q(u) = 0. Calculate u.
0, 1, 2
Suppose 2*x + x - 17*x = 0. Factor -2/3*k**5 + 0*k + 0*k**2 + 0 + x*k**3 + 2/3*k**4.
-2*k**4*(k - 1)/3
Let s = 90 - 88. Let v(a) be the third derivative of -s*a**2 - 1/735*a**7 + 1/420*a**6 - 1/1176*a**8 + 0*a**4 + 1/210*a**5 + 0*a**3 + 0*a + 0. Factor v(p).
-2*p**2*(p - 1)*(p + 1)**2/7
Let v = 14 + -11. Determine s so that 15*s**4 + v*s**5 + 21*s**2 + 7*s**3 + 6*s + 4*s**3 + 22*s**3 - 6*s**3 = 0.
-2, -1, 0
Suppose 0 = -19*t - 3 + 3. Let j(s) be the first derivative of 3 + 0*s**3 + 1/6*s**4 + t*s**2 + 0*s - 2/15*s**5. Determine g, given that j(g) = 0.
0, 1
Factor -7*y + 2*y**3 + y**2 - y**4 + 3*y - 4 + 2*y**2.
-(y - 2)**2*(y + 1)**2
Let o(g) = g**2 - 5*g + 6. Let i be o(4). Factor 6*c + 2*c**2 - 3*c**3 + 2*c**i - 3*c**3 - 4.
-2*(c - 1)*(c + 1)*(3*c - 2)
Suppose 3*w - w + 2*g - 10 = 0, -w + 17 = 5*g. Determine p, given that 0*p + 2/11*p**3 - 2/11*p**w + 0 = 0.
0, 1
Let z(f) be the third derivative of 0 - 1/525*f**7 - 1/30*f**4 + 1/15*f**3 + 1/150*f**6 + 0*f + 5*f**2 + 0*f**5. Solve z(o) = 0.
-1, 1
Let u(r) = -r**3 + 5*r**2 + 6*r + 2.