actor y - y**4 - 3*y**2 + 9 - w + 3*y**3.
-y*(y - 1)**3
Let g be (2/(-5))/(56/(-35)). Suppose j + k - 7 = 0, -j = 4*j - 3*k - 11. Factor -1/4*v**3 + 0 - g*v**2 + 1/4*v**j + 1/4*v.
v*(v - 1)**2*(v + 1)/4
Let j(u) be the first derivative of -1 + 1/2*u**2 - u. Let y(t) = -2*t**2 - 2*t + 4. Let x(a) = 2*j(a) + y(a). Find w such that x(w) = 0.
-1, 1
Let q(u) = u. Let b be q(0). Suppose 2*m = 4 + 2. Suppose -2*p**4 - 2*p + 6*p**3 + 4*p**2 - 2*p**m - 2*p**5 - 2 + b*p = 0. Calculate p.
-1, 1
Let s = 8/11 + -2/33. Let h(k) be the first derivative of -1/2*k**4 + 4 + 0*k + 2*k**2 + s*k**3. Factor h(v).
-2*v*(v - 2)*(v + 1)
Let q(n) be the third derivative of -n**6/40 - n**5/20 - 3*n**2. Factor q(o).
-3*o**2*(o + 1)
Let l = 5757 + -40235/7. Determine b so that 16/7*b**3 - 32/7*b + 32/7*b**2 - 2/7*b**5 - l - 4/7*b**4 = 0.
-2, 2
Suppose 2*n - 21 = -5*s - 2*n, -4*s = 5*n - 15. Let q be (-3)/(-2)*4/3. Factor 0*y**3 - y**3 - y**3 + 2*y**s + 2*y**4 - 2*y**q.
2*y**2*(y - 1)*(y + 1)**2
Let t(m) = m + 1. Let x be t(-3). Let f be 4 + 5/(5/x). Let 2*y**3 - 4*y**f + 5*y + 0*y - 3*y = 0. Calculate y.
0, 1
Let k be (-48)/32*((-95)/(-45) - 3). Factor 4/3*o**3 + 0 - k*o + 0*o**2.
4*o*(o - 1)*(o + 1)/3
Let i(r) be the second derivative of -r**4/4 - r**3 + 12*r. Factor i(m).
-3*m*(m + 2)
Suppose -12 = 4*d, -4*d = -5*h - 5*d - 13. Let z = 0 - h. Factor -1 + 2 + j**z + 3 - 4*j + 0.
(j - 2)**2
Let x be 3 - (0 - 2 - 0). Solve 0*k**2 - 1 + 4*k**2 - x*k**2 + 2*k**2 = 0.
-1, 1
Let n(j) be the second derivative of 1/4*j**4 - 1/6*j**3 + 0 + 2*j + 0*j**2. Suppose n(d) = 0. Calculate d.
0, 1/3
Let s(n) be the third derivative of n**6/300 + n**5/75 + n**4/60 - 2*n**2. Factor s(y).
2*y*(y + 1)**2/5
Let x(q) be the first derivative of q**4/30 + 4*q - 4. Let r(y) be the first derivative of x(y). Suppose r(n) = 0. What is n?
0
Suppose 0 = k - 3*k. Let p(q) be the third derivative of 0*q - q**2 - 1/12*q**4 + 1/45*q**5 - 2/9*q**3 + k. Solve p(y) = 0 for y.
-1/2, 2
Let m(q) be the third derivative of -q**5/102 + q**4/12 - 2*q**3/17 + 8*q**2. Find l, given that m(l) = 0.
2/5, 3
Let m(h) = -6*h**3 - 4*h**2 - 4*h. Let j(g) = g**3 + g**2 + g. Let r(w) = 4*j(w) + m(w). Factor r(p).
-2*p**3
Let p(k) be the second derivative of 3*k**5/10 - 7*k**4/6 + 5*k**3/3 - k**2 - 6*k. Find r, given that p(r) = 0.
1/3, 1
Let a(c) be the second derivative of 7*c**6/180 - c**5/4 + 29*c**4/72 - c**3/6 + c - 2. Find y such that a(y) = 0.
0, 2/7, 1, 3
Let w(s) be the third derivative of -s**10/18900 + s**9/12600 + s**8/16800 + s**4/24 - 4*s**2. Let b(y) be the second derivative of w(y). Factor b(r).
-2*r**3*(r - 1)*(4*r + 1)/5
Let f(z) = 4*z**3 - 10*z**2 + 2. Let n(g) = 4*g**3 - 9*g**2 + 3. Let o(p) = -3*f(p) + 2*n(p). Suppose o(y) = 0. Calculate y.
0, 3
Factor 1/4*u**5 + 3/4*u**4 + 0 + 3/4*u**3 + 1/4*u**2 + 0*u.
u**2*(u + 1)**3/4
Let w(r) = -3*r**2 + 9*r - 12. Let g(d) = 6 - 11*d**2 + 18*d - 13 + 5*d**2 - 18. Let z(t) = -6*g(t) + 13*w(t). What is u in z(u) = 0?
1, 2
Determine m so that -2*m**2 + 27*m**4 - m**2 + 36*m**3 + 6*m**5 + 15*m**2 = 0.
-2, -1/2, 0
Let w(z) be the third derivative of -49*z**6/300 - 77*z**5/150 - 8*z**4/15 - 4*z**3/15 + 7*z**2. What is c in w(c) = 0?
-1, -2/7
Let n = -281/3 - -94. Let 2/3*q - 1/3 + n*q**2 - 2/3*q**3 = 0. Calculate q.
-1, 1/2, 1
Suppose 0 = -4*t + 29 - 21. Solve -6/5*d - 2/5*d**t - 4/5 = 0.
-2, -1
Factor 4/7*q**2 + 0 - 8/7*q.
4*q*(q - 2)/7
Let h(o) be the second derivative of -o**4 - 3*o**3/2 + 3*o**2/2 + o. Determine l, given that h(l) = 0.
-1, 1/4
Let b(o) be the first derivative of -2*o**3/15 - o**2/5 - 6. Factor b(q).
-2*q*(q + 1)/5
Let p(l) be the third derivative of -4*l**5/15 + 5*l**4/3 - 25*l**3/6 - 7*l**2. Solve p(g) = 0 for g.
5/4
Let l(n) = 86*n**3 + 72*n**2 + 12*n + 10. Let x(f) = 29*f**3 + 24*f**2 + 4*f + 3. Let c(v) = -3*l(v) + 10*x(v). Suppose c(q) = 0. Calculate q.
-1/2, -1/4, 0
Let c(f) be the second derivative of -2*f + 0 + 1/60*f**4 + 0*f**2 + 1/30*f**3 - 1/50*f**5. Factor c(s).
-s*(s - 1)*(2*s + 1)/5
Factor -2*d - 12/5 - 2/5*d**2.
-2*(d + 2)*(d + 3)/5
Let i(k) = k + 2. Let o be i(-3). Let v be o/(-3) + (-8)/(-3). Factor 0*z**v - 2/7*z + 0 + 2/7*z**5 + 4/7*z**2 - 4/7*z**4.
2*z*(z - 1)**3*(z + 1)/7
Factor 1/3*y**4 - 1/3 - 2/3*y**3 + 2/3*y + 0*y**2.
(y - 1)**3*(y + 1)/3
Let g be 5 - (-4)/432*-538. Let b(o) be the second derivative of 0 + 4*o - g*o**4 - 1/27*o**3 + 2/9*o**2. Find t such that b(t) = 0.
-2, 1
Let v be 40/18 + (-4)/18. Suppose w - 56 = -v*w - 4*k, k + 14 = w. Factor -4*a**2 - 5*a**3 + 18*a - 37*a**3 + 18*a**4 + 13*a - w + 9*a.
2*(a - 2)*(a + 1)*(3*a - 2)**2
Let l(n) = n + 7. Let b be l(5). Let j be 2/(-6)*b/(-14). Find t, given that 0*t + 0 - 2/7*t**3 + j*t**2 = 0.
0, 1
Let w(b) be the first derivative of -b**4/2 + b**2 - 1. Factor w(v).
-2*v*(v - 1)*(v + 1)
Let q(u) be the first derivative of -28*u**5/5 - 5*u**4 + 12*u**3 + 10*u**2 - 8*u + 25. Find r such that q(r) = 0.
-1, 2/7, 1
Let q(z) = -z**2. Let s(y) = 3*y**2 + 2*y. Suppose 0 = 3*x + 2*p + 3*p - 13, p - 6 = -4*x. Let u(a) = x*s(a) + 4*q(a). Factor u(v).
-v*(v - 2)
Suppose -5*v**4 - 12*v**3 - 2*v + 11*v**4 - 2*v**4 - 9*v**4 - 9*v**2 = 0. Calculate v.
-1, -2/5, 0
Let t(s) be the second derivative of s**7/70 - 13*s**6/150 + 19*s**5/100 - 11*s**4/60 + s**3/15 + s + 14. Solve t(u) = 0.
0, 1/3, 1, 2
Let i(o) = -o + 4. Let w be i(4). Let n be 2/(-1) + (1 - -3). Find p such that -4*p**4 - 2*p**3 - 3*p**n + 7*p**2 + 2*p**5 + w*p**3 = 0.
-1, 0, 1, 2
Factor 7*v**2 + 0*v**2 - 8*v + v**2 - 4*v**2 + 4*v**3.
4*v*(v - 1)*(v + 2)
Let r(o) = 13*o**3 + 8*o**2 - 16*o - 5. Let s(q) = 7*q**3 + 4*q**2 - 8*q - 3. Let g(t) = 3*r(t) - 5*s(t). Factor g(f).
4*f*(f - 1)*(f + 2)
Let k(v) be the first derivative of 8*v**5/5 + v**4/2 - 8*v**3 - 11*v**2 - 4*v - 27. Let k(d) = 0. Calculate d.
-1, -1/4, 2
Let j(q) = -q**3 + 4*q**2 + 4*q - 1. Let l(u) = -8*u**3 + 28*u**2 + 28*u - 8. Let f(r) = 20*j(r) - 3*l(r). Let f(o) = 0. Calculate o.
-1, 1
What is g in -16/5 + 24/5*g - 9/5*g**2 = 0?
4/3
Let c(g) be the first derivative of -4*g**2 - 2/3*g**3 + 4 - 8*g. Suppose c(q) = 0. Calculate q.
-2
Let o(h) = -2*h**5 - 4*h**4 + 5*h**3 + 4*h**2 + 2*h - 5. Let j(k) = k**3 - 1. Let r(t) = 5*j(t) - o(t). Find a, given that r(a) = 0.
-1, 0, 1
Factor 3/5*t**2 - 4/5*t**4 + 1/5*t + 0*t**3 + 0.
-t*(t - 1)*(2*t + 1)**2/5
Factor 3/4*w**4 - 3/4*w + 3/4*w**3 + 3/2 - 9/4*w**2.
3*(w - 1)**2*(w + 1)*(w + 2)/4
Factor 2 - 1/2*o**2 + 0*o.
-(o - 2)*(o + 2)/2
Find u, given that 3/4*u**4 - 9/4*u**2 + 3/2 - 3/4*u + 3/4*u**3 = 0.
-2, -1, 1
Suppose -17 + 2*d - d**2 + 17 = 0. Calculate d.
0, 2
Let c be 1 + -2 - 2/(-66)*129. What is s in -2/11*s**2 - c - 16/11*s = 0?
-4
Let v = -135795 - -53638857/395. Let s = -2/79 - v. Suppose -2/5*i - s*i**3 + 0 + 4/5*i**2 = 0. Calculate i.
0, 1
Factor 0 + 2/5*t**2 - 2/5*t.
2*t*(t - 1)/5
Suppose 5 + 1 = 2*a. What is n in -2*n**2 + 3 - n**4 + 3*n**4 + 10*n**a + 20*n**2 + 1 + 14*n = 0?
-2, -1
Let t(v) be the second derivative of 3*v**6/5 - 3*v**5 + 13*v**4/6 + 20*v**3/3 + 4*v**2 - 4*v. Factor t(k).
2*(k - 2)**2*(3*k + 1)**2
Factor -2/3*s - 1 + 1/3*s**2.
(s - 3)*(s + 1)/3
Let t(q) be the first derivative of q**6/24 + q**5/10 - q**4/16 - q**3/6 - 16. Factor t(c).
c**2*(c - 1)*(c + 1)*(c + 2)/4
Suppose -4*h = 2*d - 2, -3 = h + 3*d + 9. What is l in 0 - 1/5*l**h + 0*l + 0*l**2 = 0?
0
Let f(j) be the third derivative of -j**6/280 + j**5/42 - j**4/56 - 15*j**2. Determine s so that f(s) = 0.
0, 1/3, 3
Let z(o) be the first derivative of 1/2*o**2 - 2 - 1/5*o**5 + 0*o + 3/4*o**4 - o**3. Suppose z(d) = 0. Calculate d.
0, 1
Let r(c) be the third derivative of -c**8/672 - c**7/84 - 3*c**6/80 - 7*c**5/120 - c**4/24 + 14*c**2. What is t in r(t) = 0?
-2, -1, 0
Let r(j) = -j**5 - j**4 + j**2 - j. Let s(o) = 2*o**5 + 4*o**4 + 2*o**3 - 5*o**2 + 2*o + 1. Let i(z) = -6*r(z) - 2*s(z). Solve i(b) = 0.
-1, 1
Let v(j) be the second derivative of -j**5/20 - j**4/2 - 2*j**3 - 4*j**2 - 6*j. Factor v(r).
-(r + 2)**3
Let r(t) be the first derivative of -t**6/540 - t**5/90 + t**4/108 + t**3/9 + t**2 + 6. Let p(m) be the second derivative of r(m). Find f, given that p(f) = 0.
-3, -1, 1
Let d = 10 + -4. Suppose -y = -d*y. Solve 3/2*a - 3/4*a**2 + y = 0 for a.
0, 2
Let n(z) be the third derivative of z**7/1050 + z**6/50 + 9*z**5/50 + 9*z**4/10 + 27*z**3/