actor o(w).
-w**2*(w + 2)/5
Let o be (-128)/16 - 32/(-3). Find n, given that -o*n - 4/3 - 5/3*n**2 - 1/3*n**3 = 0.
-2, -1
Let r(n) = -n**4 - 4*n**3 + 5*n**2 - 4*n. Let i(y) = -5*y**3 + 5*y**2 - 5*y. Let f(s) = -4*i(s) + 5*r(s). Let f(x) = 0. Calculate x.
-1, 0, 1
Let h = -3/4355 - 539993/39195. Let l = 14 + h. Suppose -l*f**3 + 0*f**2 + 0 + 2/9*f = 0. Calculate f.
-1, 0, 1
Suppose 4 = -3*y + 4*x + 32, -2*y = 5*x + 12. Factor -2/7*u**2 + 0*u - 6/7*u**5 - 10/7*u**3 - 2*u**y + 0.
-2*u**2*(u + 1)**2*(3*u + 1)/7
Suppose -8*m - 4*m + 48 = 0. Let w(l) be the first derivative of -3 - 5/2*l**m + 0*l**2 + 0*l - 4/3*l**3. Solve w(q) = 0.
-2/5, 0
Let i = -3581/18 - -199. Let s(g) be the second derivative of 0*g**4 - 1/60*g**5 + 0 + i*g**3 + 4*g + 0*g**2. Factor s(v).
-v*(v - 1)*(v + 1)/3
Let z = -558 + 1675/3. Factor -1/3 - 2/3*a**3 + 1/3*a + 2/3*a**2 + z*a**5 - 1/3*a**4.
(a - 1)**3*(a + 1)**2/3
Let u = 286/35 - 38/5. Solve u + 6/7*r + 0*r**2 - 2/7*r**3 = 0.
-1, 2
Let z(h) be the third derivative of -h**5/210 + h**4/21 + h**2. Determine s, given that z(s) = 0.
0, 4
Let b(j) be the first derivative of 1/27*j**6 - 2/9*j + 4/27*j**3 + 2 - 1/9*j**4 - 2/45*j**5 + 1/9*j**2. Factor b(p).
2*(p - 1)**3*(p + 1)**2/9
Let t = 126/5 + -118/5. Factor -t*l + 8/5 + 2/5*l**2.
2*(l - 2)**2/5
Let c = 13 - 9. Let a be (2 + -1)*-1*-3. What is x in -1/2*x**5 + 0 + 0*x**a + 1/2*x + x**c - x**2 = 0?
-1, 0, 1
Let d be (-3 - -4)*0 - -4. Let t(n) be the third derivative of 0*n - 1/30*n**5 + 0*n**3 + 0 + 0*n**6 + 1/105*n**7 + 0*n**d - 3*n**2. Factor t(y).
2*y**2*(y - 1)*(y + 1)
Let o(r) be the first derivative of 2*r**5/25 + 2*r**4/5 + 2*r**3/3 + 2*r**2/5 - 5. Suppose o(t) = 0. Calculate t.
-2, -1, 0
Let f(q) be the third derivative of -q**5/15 - 7*q**4/6 - 4*q**2 - 3. Factor f(i).
-4*i*(i + 7)
Let q(b) = b**3 - 2*b**2 + b + 2. Let d be q(2). Suppose 3*h - d = h. Factor -2*o**2 + 4*o + 4*o**2 - 5*o + 5*o + h.
2*(o + 1)**2
Let a be (-14 - -14) + 2/10. Solve 1/5*r - a*r**2 + 2/5 = 0.
-1, 2
Let s(i) be the second derivative of 11*i**7/11340 + i**6/1620 - i**4/4 + i. Let m(r) be the third derivative of s(r). Factor m(g).
2*g*(11*g + 2)/9
Factor -22/7*y + 2/7*y**2 - 24/7.
2*(y - 12)*(y + 1)/7
Let m be 2536/(-96) + (-4)/(-6). Let y = m - -26. Solve -4*o**3 + y - 8*o**4 - 4*o**5 + 5/4*o + o**2 = 0 for o.
-1, -1/2, 1/2
Let p(q) be the third derivative of q**8/840 + q**7/210 + q**6/180 - q**3/6 - q**2. Let u(b) be the first derivative of p(b). Factor u(n).
2*n**2*(n + 1)**2
Let b be (1/(-2))/((-3)/(-336)). Let v = b - -170/3. What is t in -v - 1/3*t**4 - 1/3*t + t**2 + 1/3*t**3 = 0?
-1, 1, 2
Let o(b) be the first derivative of -b**7/1260 - 2*b**3/3 + 1. Let v(k) be the third derivative of o(k). Determine i so that v(i) = 0.
0
Let w(z) be the third derivative of -z**6/16 - 7*z**5/24 - 25*z**4/48 - 5*z**3/12 + 10*z**2. Factor w(i).
-5*(i + 1)**2*(3*i + 1)/2
Let a(j) = 4*j**3 + j**2. Let z(o) = -2*o**3 + 5*o**2 - 6*o - 6. Let n(w) = -w**2 + w + 1. Let k(h) = -6*n(h) - z(h). Let g(l) = 3*a(l) - 5*k(l). Factor g(r).
2*r**2*(r - 1)
Let g = -131 - -133. Determine c, given that -4/5*c**3 - 12/5*c - 4*c**g + 36/5 = 0.
-3, 1
Let j = -1 + 1. Let r(m) be the second derivative of -4/3*m**2 + j - 77/18*m**4 - 32/9*m**3 - 49/30*m**5 + m. Suppose r(z) = 0. What is z?
-1, -2/7
Factor 2/9*p**2 + 0 + 2/9*p.
2*p*(p + 1)/9
Let w(q) be the first derivative of -2*q**5/55 + 5*q**4/22 - 6*q**3/11 + 7*q**2/11 - 4*q/11 - 7. Find u such that w(u) = 0.
1, 2
Let t(i) be the second derivative of -i**5/140 - i**4/42 + i**3/42 + i**2/7 + 15*i. Determine f so that t(f) = 0.
-2, -1, 1
Let c be 4*3/9 - 0. Find z such that 2/3*z - 2/9 - c*z**3 + 2/3*z**5 - 2/9*z**4 + 4/9*z**2 = 0.
-1, 1/3, 1
Let a = 5 + -1. Suppose 3*v - 13 = l, -4*v - a*l = -0*l + 4. Suppose -10*n**v - 24*n**2 + 2*n**3 - 2 - 13*n - n**3 = 0. Calculate n.
-2, -1/3
Let h(s) = -5*s**2 - 26*s - 50. Let o(k) = -6*k**2 - 27*k - 51. Let b(g) = -3*h(g) + 2*o(g). Find m such that b(m) = 0.
-4
Suppose 2*d + j - 18 = d, 3*j + 10 = d. Suppose q - d = -3*q. What is w in 6*w**3 - w**4 + 2*w - 3*w**q - 6*w**2 + 2*w**4 = 0?
0, 1
Let o(l) be the third derivative of -l**8/224 + l**7/20 - 19*l**6/80 + 5*l**5/8 - l**4 + l**3 + 2*l**2. Factor o(k).
-3*(k - 2)**2*(k - 1)**3/2
Factor 4/3*c + 4/3 - 8/3*c**2.
-4*(c - 1)*(2*c + 1)/3
Let v(q) be the third derivative of -5/12*q**4 + 4*q**2 + 0 + 2/3*q**3 - 3/20*q**6 + 0*q - 8/15*q**5. Factor v(o).
-2*(o + 1)**2*(9*o - 2)
Let y(j) be the third derivative of j**5/80 - 3*j**4/32 + j**3/4 - 8*j**2. Let y(p) = 0. What is p?
1, 2
Let f = -170/3 - -57. What is b in -1/3 - f*b**2 - 2/3*b = 0?
-1
Let l(p) be the first derivative of p**6/90 - p**4/36 + p - 4. Let o(c) be the first derivative of l(c). Suppose o(f) = 0. What is f?
-1, 0, 1
Let h be 13 + -3 + 14/4. Let a = h + -13. Factor -a*z**3 + 1/2*z + 0 + 0*z**2.
-z*(z - 1)*(z + 1)/2
Let i(g) be the second derivative of g**6/30 - g**5/20 + 16*g. Factor i(s).
s**3*(s - 1)
Factor q**2 + 3*q**2 + 1 - 3*q**2 - 2*q.
(q - 1)**2
Let g(o) be the third derivative of -1/30*o**5 - 1/168*o**8 + 0 - 1/35*o**7 + 0*o**3 - 1/20*o**6 + 0*o + 0*o**4 + 6*o**2. What is s in g(s) = 0?
-1, 0
Let t = 1030/9 - 114. Let q = -1 + 4. Determine l, given that 2/3*l**4 + 2/9 + t*l**q + 0*l - 8/9*l**2 - 4/9*l**5 = 0.
-1, -1/2, 1
Let f(g) be the second derivative of g**5/5 - 2*g**3 + 4*g**2 + 16*g. Factor f(t).
4*(t - 1)**2*(t + 2)
Let j(x) = 82*x**4 - 4*x**3 - 6*x**2 - 2*x. Let k(g) = -81*g**4 + 4*g**3 + 5*g**2 + 3*g. Let h(s) = -3*j(s) - 2*k(s). Solve h(o) = 0 for o.
-2/7, 0, 1/3
Let p = 296 + -2066/7. Factor -4/7 + 10/7*u**2 + p*u.
2*(u + 1)*(5*u - 2)/7
Let c be (2/(-4))/(8/(-912)). Let m be 3/4*152/c. Let 2/7*o**3 - 6/7*o**m + 4/7*o + 0 = 0. Calculate o.
0, 1, 2
Let n be (-2)/((-60)/9)*(-4)/(-6). Solve -2/5*d**3 + n + 2/5*d - 1/5*d**4 + 0*d**2 = 0.
-1, 1
Let w(f) be the first derivative of f + 15/4*f**2 + 6*f**3 - 9 + 27/8*f**4. Factor w(x).
(3*x + 1)**2*(3*x + 2)/2
Let i(j) be the second derivative of j**8/3360 - j**7/1260 - j**6/180 + 7*j**4/12 + 3*j. Let n(t) be the third derivative of i(t). Factor n(s).
2*s*(s - 2)*(s + 1)
Suppose -m + 2*b + 2 = -1, b = 0. Suppose -2*q - 2*l + 12 = 0, -5*q + m = -3*l - 3. Factor -2*u**2 + 0*u**2 + 2*u + 2*u - 3*u + u**q.
u*(u - 1)**2
Let z(q) = q**2 - q. Let s(y) = -7*y**2 + 42*y - 35. Let c(d) = s(d) + 2*z(d). Find i, given that c(i) = 0.
1, 7
Find u, given that -571*u - 12 - u**3 + 2*u**3 - 4*u**2 + 3*u**3 + 551*u = 0.
-1, 3
Let r(w) be the second derivative of -w**6/1620 + w**5/135 - w**4/36 - w**3/6 + w. Let c(j) be the second derivative of r(j). Solve c(z) = 0 for z.
1, 3
Let c(s) be the third derivative of s**6/72 - 7*s**5/36 - 5*s**4/72 + 35*s**3/18 - 23*s**2. Determine n so that c(n) = 0.
-1, 1, 7
Let f be 2/2*12/210*7. Factor 2/5 - 4/5*l + f*l**2.
2*(l - 1)**2/5
Let o(u) = -3*u**2 + 53*u - 90. Let w(l) = -2*l**2 + 27*l - 45. Let p(n) = 3*o(n) - 7*w(n). Determine m, given that p(m) = 0.
3
Let s(x) be the first derivative of x**3/2 - 3*x**2 + 9. Factor s(a).
3*a*(a - 4)/2
Let c(h) be the third derivative of h**8/112 - h**7/10 + 19*h**6/40 - 5*h**5/4 + 2*h**4 - 2*h**3 - 2*h**2. Factor c(m).
3*(m - 2)**2*(m - 1)**3
Let s be (-1 - 4) + (-216)/(-27). Factor v**2 + 1/3 - v - 1/3*v**s.
-(v - 1)**3/3
Factor -2*z + 1/2*z**4 + 0 - 5/2*z**3 + 4*z**2.
z*(z - 2)**2*(z - 1)/2
Let y = -9 - -11. Let j(m) be the third derivative of -1/147*m**7 + 1/42*m**4 - y*m**2 + 0 - 2/105*m**6 + 0*m - 1/210*m**5 + 0*m**3. Let j(x) = 0. What is x?
-1, 0, 2/5
Let n = 6 + -3. Let z be (0 - 6)*(-6)/12. Determine g, given that g**3 + g**3 + 0*g**z - n*g**3 = 0.
0
Let k(l) be the third derivative of -l**8/1680 - l**7/525 + l**6/200 + l**5/75 - l**4/30 - 9*l**2. Find u such that k(u) = 0.
-2, 0, 1
Let y(o) = 25*o**5 + 5*o**4 + 35*o**3 + 25*o**2 - 30*o - 30. Let x(m) = m**5 + m**3 + m**2 - m - 1. Let n(u) = 30*x(u) - y(u). Suppose n(l) = 0. What is l?
-1, 0, 1
Let b(l) = -l**3 + 3*l**2 - 2*l. Let h be b(2). Factor 7 + 3*p**2 - 6 - 15*p + 3*p**3 + 8 + h.
3*(p - 1)**2*(p + 3)
Let f(g) be the third derivative of -3*g**6/280 + g**4/14 + g**3/3 + 7*g**2. Let o(j) be the first derivative of f(j). Factor o(w).
-3*(3*w - 2)*(3*w + 2)/7
Let i = -4 + 9. Factor j - i*j + 5*j - j**2 + j.
-j*(j - 2)
Let m(y) be the third d