2*(b - 2)**2
Let g = -86 - -88. Let 0 + 2/3*h**4 + 0*h**g + 1/3*h**5 + 0*h**3 + 0*h = 0. What is h?
-2, 0
Factor 2/11*m**5 + 0*m**2 + 0*m**4 + 0 - 4/11*m**3 + 2/11*m.
2*m*(m - 1)**2*(m + 1)**2/11
Let y = 20/3 - 6. Suppose 1/3 + 1/3*f**2 + y*f = 0. Calculate f.
-1
Let 180*j**2 + 6 + 17*j + 16*j**3 + 124*j**3 + 4 + 58*j = 0. What is j?
-1/2, -2/7
Factor 161 - 10*l**3 - 4*l + 10*l**2 + 4*l**2 - 161.
-2*l*(l - 1)*(5*l - 2)
Let m(g) be the third derivative of -g**8/2184 - 2*g**7/1365 + g**5/195 + g**4/156 + 31*g**2. Factor m(z).
-2*z*(z - 1)*(z + 1)**3/13
Let g(x) be the first derivative of 4/3*x**3 + 0*x + 4*x**2 + 3. Factor g(h).
4*h*(h + 2)
Let d(u) = 10*u**4 + 2*u**3 + 16*u**2 - 12. Let p = -15 + 27. Let v(h) = h**4 + h**2 - 1. Let y(a) = p*v(a) - d(a). Solve y(l) = 0 for l.
-1, 0, 2
Factor 5*v**2 + 4*v**2 - 24*v**3 + 4*v**4 + 5*v**4 + 6*v.
3*v*(v - 2)*(v - 1)*(3*v + 1)
Let o(v) be the first derivative of 3*v**5/20 + v**4 + 2*v**3 - 4*v - 8. Determine j so that o(j) = 0.
-2, 2/3
Let y(z) be the first derivative of z**5/30 - z**4/12 - 3*z**2/2 + 4. Let s(w) be the second derivative of y(w). Factor s(t).
2*t*(t - 1)
Let i(p) = 4*p + 56. Let d be i(-14). Factor d*x - 3/8*x**2 + 0.
-3*x**2/8
Let k(h) = -h**3 - 5*h**2 + 6*h + 4. Let d be k(-6). Suppose 5*a - 32 = 4*b, a = -a - 4*b - d. Factor -4/5*l**a + 0*l + 3/5*l**5 - 1/5*l**3 + 2/5*l**2 + 0.
l**2*(l - 1)**2*(3*l + 2)/5
Let p be -2 - -12 - (2 - 1). Factor 6*d - p*d + d + 2*d**2.
2*d*(d - 1)
Suppose -4*n + a = n - 22, 0 = -2*a + 6. Let v(j) be the second derivative of 0*j**3 + 1/12*j**4 + 0*j**2 - 1/20*j**n + 0 - j. Find u, given that v(u) = 0.
0, 1
Let h(p) be the third derivative of 0*p**4 - 3*p**2 + 0 + 7/40*p**6 + 0*p**3 + 1/10*p**5 + 0*p. Factor h(q).
3*q**2*(7*q + 2)
Let z = -37 + 55. Solve 3 + 3*y**3 + z + 19 + 81*y + 41 + 27*y**2 = 0 for y.
-3
Let m(i) be the third derivative of -i**5/270 - i**4/36 - 2*i**3/27 - i**2. Find s such that m(s) = 0.
-2, -1
Let o(b) be the second derivative of -25/6*b**4 + 0 + 0*b**3 + 4*b**2 - b. Determine w, given that o(w) = 0.
-2/5, 2/5
Let s(h) be the third derivative of h**9/68040 + h**8/15120 + h**7/11340 + h**4/12 - h**2. Let o(d) be the second derivative of s(d). Factor o(l).
2*l**2*(l + 1)**2/9
Let j be (1/(-6))/(1*(-10)/40). Let 1/3*p**2 + j*p + 0 = 0. What is p?
-2, 0
Let t be 4 + -3 + 15 - 1. Suppose -4*m + 6 = -2*h, -h = 5*m + 4*h - t. Solve 1/3*j - 1/3*j**m + 0 = 0 for j.
0, 1
Let l(w) = -w**2 - 8*w + 2. Let i be l(0). Factor -8/5*b + 0 - 343/5*b**4 - 84/5*b**i - 294/5*b**3.
-b*(7*b + 2)**3/5
Let g = 29 - 17. Let o(f) = f**3 - f**2 + f - 1. Let c be o(2). Let 2*j**5 + 4*j**3 - g*j**4 + c*j**5 - j**3 + 2*j**2 = 0. Calculate j.
-2/7, 0, 1
Suppose -4*x + 28 = 4*p, -5*x + p + 13 = 2. Factor h + 3*h**3 - 3*h**x + h**2 - 1 - h**3.
-(h - 1)**2*(h + 1)
Let m(q) = -8*q**4 + 12*q**3 + 4*q - 4. Let u(y) = -7*y**4 + 11*y**3 + 3*y - 3. Let w(r) = 3*m(r) - 4*u(r). Find t such that w(t) = 0.
0, 2
Let u(y) be the second derivative of -y**4/12 + y**3/5 - y**2/10 + 11*y. Factor u(j).
-(j - 1)*(5*j - 1)/5
Let h(o) be the third derivative of o**8/12096 - o**7/1260 + o**6/540 - o**5/30 + 5*o**2. Let j(z) be the third derivative of h(z). Factor j(l).
(l - 2)*(5*l - 2)/3
Let w(z) be the third derivative of z**5/12 + 5*z**4/3 + 35*z**3/6 + 7*z**2. Factor w(m).
5*(m + 1)*(m + 7)
Suppose 4*p = -11 + 3. Let l be p/(-10) - (-2)/10. Factor l*y + 0 + 2/5*y**2.
2*y*(y + 1)/5
Let r be (3 + -2 - 2)*-2. Let h(i) be the second derivative of 3*i + i**r + 0 - 2/3*i**3 + 1/6*i**4. Find l, given that h(l) = 0.
1
Let m(k) = k**3 - 2*k**2 - k + 1. Let v(x) = 2*x**3 - 104*x**2 + 782*x - 678. Let f(n) = -2*m(n) - v(n). Factor f(z).
-4*(z - 13)**2*(z - 1)
Factor 1/4*p**5 + 0*p + 7/4*p**4 + 9/4*p**2 + 0 + 15/4*p**3.
p**2*(p + 1)*(p + 3)**2/4
Factor 1 + 1/8*g**5 - 3/2*g - 3/4*g**4 - 1/4*g**2 + 11/8*g**3.
(g - 2)**3*(g - 1)*(g + 1)/8
Let g be 3 + (3 - 1) + -2. Let n be -1 + -2 + 3 + 1/2. Find q, given that 1/2*q**2 - q - n + q**g = 0.
-1, -1/2, 1
Let s(p) = 3*p**2 - 1. Let g(f) = -25*f**2 + f + 7. Let l(v) = -6*g(v) - 51*s(v). Suppose l(n) = 0. Calculate n.
-3, 1
Let j(b) be the first derivative of 3*b**5/5 - 3*b**4 - 5*b**3 + 10. Find a, given that j(a) = 0.
-1, 0, 5
Determine d, given that -4*d**3 + 5*d**3 - 2*d**4 - 5*d**3 = 0.
-2, 0
Let p(o) be the third derivative of 3*o**6/100 - 8*o**5/75 - o**4/15 - 23*o**2. Determine u, given that p(u) = 0.
-2/9, 0, 2
Let g(d) = 3*d**3 - d**2 + d. Let z be g(1). Let -1 + 2 - 2*r**2 - 2 + z - 3*r = 0. Calculate r.
-2, 1/2
Let w(v) be the third derivative of -1/24*v**6 + 5*v**2 + 7/15*v**4 + 0*v + 0 + 2/5*v**3 + 11/60*v**5. Factor w(t).
-(t - 3)*(5*t + 2)**2/5
Let t(p) be the second derivative of 1/9*p**3 + p + 0 + 1/72*p**4 + 1/4*p**2. Find g such that t(g) = 0.
-3, -1
Factor -3 - 18*t - 3 + 11*t**2 - 4*t - 3*t**2.
2*(t - 3)*(4*t + 1)
Let o(m) be the first derivative of m**9/4536 - m**8/1680 + m**6/1080 - m**3/3 + 2. Let d(w) be the third derivative of o(w). Factor d(u).
u**2*(u - 1)**2*(2*u + 1)/3
Factor -1/5*a**3 + 1/5*a + 0 + 0*a**2.
-a*(a - 1)*(a + 1)/5
Let m(f) = -100*f**2 - 13*f - 6*f**3 + 31*f**2 + 19*f + 42. Let k(n) = n**3 + 10*n**2 - n - 6. Let i(b) = 27*k(b) + 4*m(b). Factor i(p).
3*(p - 2)*(p - 1)*(p + 1)
Let v(l) = -9*l**5 + 9*l**4 + 5*l**3 - 5*l**2. Let s(y) = 10*y**5 - 10*y**4 - 5*y**3 + 5*y**2. Let a(x) = 4*s(x) + 5*v(x). Solve a(z) = 0.
-1, 0, 1
Let m(w) be the first derivative of -w**5/360 - w**4/144 + 3*w**2/2 - 1. Let q(b) be the second derivative of m(b). Suppose q(k) = 0. What is k?
-1, 0
Suppose 15 = -n + 2*n. Suppose 0 = 4*r + r - n. Suppose p**4 + r*p**2 + p**4 + 4*p**3 - p**2 = 0. Calculate p.
-1, 0
Let t(v) be the second derivative of -v**7/168 - v**6/120 + v**5/80 + v**4/48 - 37*v. Factor t(f).
-f**2*(f - 1)*(f + 1)**2/4
Let w(h) be the third derivative of h**7/3780 - h**5/180 - h**4/24 - h**2. Let c(z) be the second derivative of w(z). Let c(s) = 0. What is s?
-1, 1
Let c(f) be the second derivative of -f**10/60480 + f**8/6720 - f**6/1440 + f**4/6 - 6*f. Let p(v) be the third derivative of c(v). Factor p(t).
-t*(t - 1)**2*(t + 1)**2/2
Factor 216 + 1/8*m**3 + 9/2*m**2 + 54*m.
(m + 12)**3/8
Let l(p) be the first derivative of -p**5/30 + 5*p**4/24 - 4*p**3/9 + p**2/3 + 27. Factor l(o).
-o*(o - 2)**2*(o - 1)/6
Let z(w) = -w**2 - 9*w - 1. Let s be z(-8). Suppose 2*m + 3*l = 0, 5*m + 0*l - s = -4*l. Factor -x**3 + x**4 - 3*x**m - x + x**3 + 3*x**2.
x*(x - 1)**3
Factor 0*r**2 + 1/5*r**3 + 0*r + 0.
r**3/5
Factor 289 - 192*h + 24*h**2 + 87 - h**3 + 168 - 32.
-(h - 8)**3
Solve 48*u + 38*u**2 - 64 - 50*u**2 + 2*u**3 + 0*u**3 - u**3 = 0.
4
Let o(x) be the first derivative of 2 - 3/20*x**5 + 0*x - 9/16*x**4 - 3/8*x**2 - 3/4*x**3. Let o(u) = 0. Calculate u.
-1, 0
Let h be -21 - -21 - 1/(-3). Let 0*b**3 - 1/3*b**5 - 2/3*b**2 + 2/3*b**4 + h*b + 0 = 0. Calculate b.
-1, 0, 1
Let k(v) be the second derivative of v**6/2 - v**5/2 - 15*v**4/4 + 10*v**3 - 10*v**2 - 18*v. Factor k(l).
5*(l - 1)**2*(l + 2)*(3*l - 2)
Factor 2/7*p**2 + 0 - 2/7*p.
2*p*(p - 1)/7
Let m(r) be the third derivative of r**7/525 + r**2. What is j in m(j) = 0?
0
Let v = -3 + 6. Suppose 2*u**5 - 3*u**v + 0*u**5 - u**3 + 2*u = 0. Calculate u.
-1, 0, 1
Let x be 1 + ((-8)/(-56))/((-2)/10). Factor 0*c**2 + 4/7*c**3 - 2/7*c**4 - 4/7*c + x.
-2*(c - 1)**3*(c + 1)/7
Solve -2/3*p**3 + 0 + 2/3*p**2 + 4/3*p = 0 for p.
-1, 0, 2
Let n(t) = t + 1. Let a be n(-5). Let u be (-4)/(-1) + (-4 - a). Factor 6*z**4 + 4 + u*z**5 - 2*z**2 - 2 - 2.
2*z**2*(z + 1)**2*(2*z - 1)
Let s(v) be the third derivative of v**8/448 - v**7/280 - v**6/160 + v**5/80 - 37*v**2. Let s(t) = 0. What is t?
-1, 0, 1
Factor 0*n**2 - 2/7 - 1/7*n**3 + 3/7*n.
-(n - 1)**2*(n + 2)/7
Solve 0 - 2*a**4 - 4/9*a - 40/9*a**3 - 26/9*a**2 = 0.
-1, -2/9, 0
Factor -6/5*c - 1 - 1/5*c**2.
-(c + 1)*(c + 5)/5
Let w be (-2)/(((-16)/(-6))/(-4)). Let n = w + 0. Factor 0*t**n + t**2 - 2 + t - t**3 + 2*t**2 - t**4 + 0*t**2.
-(t - 1)**2*(t + 1)*(t + 2)
Factor 0*r + 2/5 - 2/5*r**2.
-2*(r - 1)*(r + 1)/5
Let q(v) be the third derivative of -v**7/1155 + v**6/132 - 4*v**5/165 + v**4/33 + 28*v**2. Solve q(n) = 0 for n.
0, 1, 2
Let y(s) = -1 - s**2 + 16*s**2 + 5*s**3 - 18*s**4 + 3*s**3 - 10*s. Let r be (-2)/3 + 20/(-6). Let w(k) = k**4 + k + 1. Let i