hat -1/6*x + 1/3 - 1/3*x**2 + 1/6*x**3 = 0.
-1, 1, 2
Let a be (-19)/(-44) + (-8)/44. Let b = 5 - 4. Suppose -y + b + a*y**2 = 0. What is y?
2
Let p = 83 - 413/5. Let r(h) = -h**2 + 10*h + 15. Let n be r(11). Factor 6/5*y**n + 24/5*y**2 + p - 12/5*y - 4*y**3.
2*(y - 1)**3*(3*y - 1)/5
Let l(b) = 4*b + 1. Let d be l(1). Let w(z) = 1 + 21*z - d*z + 2*z**2 + 7. Let n(k) = k**2 - k - 1. Let p(y) = 6*n(y) + w(y). Factor p(o).
2*(o + 1)*(4*o + 1)
Let n(f) be the first derivative of 5*f**6/24 + 5*f**5/4 + 5*f**4/2 + 5*f**3/3 - 27. Factor n(q).
5*q**2*(q + 1)*(q + 2)**2/4
Find s such that 5/4*s**2 + 1/4*s + 0 = 0.
-1/5, 0
Let s(a) = -a**3 + a**2 + a + 1. Let q(w) = -6*w**3 + 7*w**2 + 12*w + 7. Let p(f) = 5*q(f) - 20*s(f). Factor p(j).
-5*(j - 3)*(j + 1)*(2*j + 1)
Let i(h) be the first derivative of -4/5*h**5 + 2 - 9*h**3 + 19/4*h**4 + 4*h**2 + 4*h. Factor i(n).
-(n - 2)**2*(n - 1)*(4*n + 1)
Let l be ((-3)/9 - 0)/(10/(-6)). Let v(x) be the second derivative of 1/12*x**4 + 0*x**3 + 0*x**2 + 1/10*x**6 + 0 + l*x**5 - 2*x. Factor v(c).
c**2*(c + 1)*(3*c + 1)
Let s(p) be the first derivative of -2 - p**2 - 2*p - 1/6*p**3. Let s(y) = 0. Calculate y.
-2
Suppose 3*z - 8 = 1. Factor -3/4*o**4 - 1/2*o**z + 0*o + 5/4*o**5 + 0*o**2 + 0.
o**3*(o - 1)*(5*o + 2)/4
Factor 0 + 0*k + 1/2*k**2.
k**2/2
Let u(z) be the second derivative of -z**4/48 - z**3/12 - z**2/8 - 2*z. Factor u(p).
-(p + 1)**2/4
Let u(b) be the third derivative of b**6/1620 + b**5/540 - b**4/54 + b**3/6 + 3*b**2. Let d(a) be the first derivative of u(a). Factor d(q).
2*(q - 1)*(q + 2)/9
Let h(i) = -5*i**3 + 20*i**2 + 4*i - 8. Let f(u) = 2*u**3 - 7*u**2 - u + 3. Let j(z) = 8*f(z) + 3*h(z). Factor j(o).
o*(o + 2)**2
Let z(t) be the second derivative of t**4/36 + 2*t**3/9 + t**2/2 + 18*t. Solve z(y) = 0.
-3, -1
Let n = 11 - 10. Let c be n/(-2) + 35/42. Solve 1/3*o**2 + 1/3*o**3 - c*o**5 - 1/3*o**4 + 0*o + 0 = 0 for o.
-1, 0, 1
Let g(z) = z - 11. Let m be g(13). Let d(l) = 2*l**2 - 4*l + 3. Let u be d(m). Determine k so that -4/5*k**4 + 0*k**2 + 0 + 2/5*k - 6/5*k**u = 0.
-1, 0, 1/2
Suppose 0 = -b + 4*z - 2, 0*z + 3*z = b - 3. Let v be ((-51)/(-85))/(b/20). Factor 1/3*c**2 + 1/3 + v*c.
(c + 1)**2/3
Let o(z) be the second derivative of z**4/48 + z**3/6 + 3*z**2/8 + 18*z. Solve o(w) = 0.
-3, -1
Let j be 3/(-4)*-2*2. Factor -4 - t + 4 + 5*t**3 - 4*t**j.
t*(t - 1)*(t + 1)
Find v such that -18*v**4 - 1/2 + 4*v**5 - 19*v**2 + 21/4*v + 113/4*v**3 = 0.
1/4, 1, 2
Let -32/13*i**2 - 8/13*i + 0 - 14/13*i**3 = 0. What is i?
-2, -2/7, 0
Factor 3/2*w**2 + 1/2*w**5 - 3/2*w**4 - w + 1/2*w**3 + 0.
w*(w - 2)*(w - 1)**2*(w + 1)/2
Let m(l) be the second derivative of -1/40*l**6 + 0*l**3 - 9/80*l**5 - 4*l - 1/8*l**4 + 0 + 0*l**2. What is s in m(s) = 0?
-2, -1, 0
Let q = 27 - -24. Factor 16*w - 28*w**4 + 37*w**2 + q*w**2 - 24*w**2 + 20*w**3.
-4*w*(w - 2)*(w + 1)*(7*w + 2)
Let i(l) be the third derivative of l**8/21 - 4*l**7/35 - 7*l**6/120 + 23*l**5/60 - 3*l**4/8 + l**3/6 - 7*l**2. Let i(j) = 0. What is j?
-1, 1/4, 1
Suppose 0 = -j - j + 8. Suppose 6 + j = 5*d. What is f in 2*f**3 - f**4 + f**2 - d*f**3 + 0*f**2 = 0?
-1, 0, 1
Suppose 12 = 19*u - 15*u. Let r(i) be the first derivative of u - 2*i + 2*i**2 - 2/3*i**3. Find x such that r(x) = 0.
1
Suppose 6 = 5*j - 2*j. Solve -2 + 4*o**2 - 2*o**j - 1 + 1 = 0.
-1, 1
Suppose 0 + 0*f - 2/3*f**2 - 1/3*f**3 = 0. What is f?
-2, 0
Let q(p) be the first derivative of p**4/48 + p**3/4 + 9*p**2/8 + p - 3. Let x(j) be the first derivative of q(j). Suppose x(t) = 0. What is t?
-3
Let t = 5428 + -1633832/301. Let k = 1850/3311 + t. Factor -6/11*z - 2/11 - k*z**2 - 2/11*z**3.
-2*(z + 1)**3/11
Let v(q) be the second derivative of -q**7/3780 + q**6/540 - q**5/270 - 2*q**3/3 - 7*q. Let n(y) be the second derivative of v(y). Factor n(o).
-2*o*(o - 2)*(o - 1)/9
Let o(x) be the first derivative of 0*x - 1 + 1/16*x**4 - 1/8*x**2 + 1/20*x**5 - 1/12*x**3. Factor o(f).
f*(f - 1)*(f + 1)**2/4
Determine d so that -5/4*d**3 - 5 - 25/4*d**2 - 10*d = 0.
-2, -1
Suppose u - 2 = 4. Let j(z) be the third derivative of -1/48*z**4 + 1/105*z**7 + 0*z**3 - 2*z**2 + 1/30*z**5 - 1/40*z**u + 0 + 0*z - 1/672*z**8. Factor j(m).
-m*(m - 1)**4/2
Let f(j) = -j**2 + 14*j - 36. Let q be f(10). Determine z, given that 3/2*z - 1/2*z**2 - 1/2 + z**q - 3/2*z**3 = 0.
-1, 1/2, 1
Suppose 5*w + 4 + 6 = 0, 3*t = -4*w - 26. Let g be (-16)/(-30)*(-15)/t. Determine l, given that g + 5/3*l**2 - 8/3*l - 1/3*l**3 = 0.
1, 2
Let c(x) be the second derivative of 0*x**2 - 1/60*x**4 + 13/150*x**6 - 6*x + 1/42*x**7 - 1/15*x**3 + 9/100*x**5 + 0. Factor c(s).
s*(s + 1)**3*(5*s - 2)/5
Let c(w) = 11*w**2 - w. Suppose 2*m = -3*k + 10, 2*k + 3*k = 2*m + 38. Let x(n) = k*n**2 - 6*n**2 - 6*n**2. Let q(o) = 2*c(o) + 5*x(o). Factor q(s).
-2*s*(4*s + 1)
Let g be 9/10 - -1*6/(-15). Let u + g*u**2 - 3/2*u**3 + 1/2*u**5 + 0 - 1/2*u**4 = 0. Calculate u.
-1, 0, 1, 2
Suppose -12 = 4*d - 4*z, z - 4 = -4*d + 9. Solve 0*f**3 + 0*f + 12 - 6*f**d + 3/4*f**4 = 0 for f.
-2, 2
Let w(c) be the third derivative of -c**7/13860 - c**6/3960 - c**4/8 - c**2. Let z(g) be the second derivative of w(g). Solve z(m) = 0 for m.
-1, 0
Let h(r) be the second derivative of -2*r**6/15 + r**4/3 + 25*r. Find s, given that h(s) = 0.
-1, 0, 1
Let i = -1681 - -1683. Solve 0 - 32/9*g**i - 14/9*g**5 + 32/9*g**4 + 8/9*g + 2/3*g**3 = 0.
-1, 0, 2/7, 1, 2
Let c(p) = -2*p - 4. Let w(k) = -k**2 - 9*k - 17. Let d(h) = 18*c(h) - 4*w(h). Factor d(j).
4*(j - 1)*(j + 1)
Let n(s) = -s**3 + s**2 - 6*s. Let k(x) = -3*x**3 + x**2 - 13*x. Let d(u) = -6*k(u) + 15*n(u). Suppose d(p) = 0. What is p?
-4, 0, 1
Let s(t) be the second derivative of -t**4/24 - t**3/12 + 3*t. What is c in s(c) = 0?
-1, 0
Let c(m) be the first derivative of m**6/15 - 16*m**5/25 + 11*m**4/5 - 56*m**3/15 + 17*m**2/5 - 8*m/5 - 5. Factor c(q).
2*(q - 4)*(q - 1)**4/5
Let u = -8 + 11. Find s such that -s**2 + 5*s**2 - 4 + 8*s + 5 + u = 0.
-1
Let k(j) be the second derivative of -j**4/24 + j**3/2 - 9*j**2/4 + 10*j. Factor k(d).
-(d - 3)**2/2
Let t(a) = a**2 + 6*a - 14. Let p be t(-8). Let f(s) be the second derivative of 0 - 1/7*s**p - 1/42*s**4 - 2/21*s**3 + 3*s. Factor f(o).
-2*(o + 1)**2/7
Let d(h) = -h**3 + 3*h**2 + 8*h - 4. Let w be d(5). Let v be 7/(-3)*20/w. Solve -v*x**2 + 10/3*x**4 - 2/3*x**3 - 4/3*x + 2*x**5 + 0 = 0 for x.
-1, -2/3, 0, 1
Factor -4/3*f**2 + 2/9*f + 0 + 10/9*f**3.
2*f*(f - 1)*(5*f - 1)/9
Let t(w) be the second derivative of -3*w**2 + 7*w + 0 - 2*w**4 + 3/10*w**5 + 7/2*w**3 + 1/5*w**6 - 1/14*w**7. Factor t(g).
-3*(g - 1)**4*(g + 2)
Let i = 31 - 28. Suppose -i*u = -0 - 6. Factor 0 + 0*z - 2/7*z**u.
-2*z**2/7
Let g(f) be the first derivative of -6/7*f**3 + 3 + 11/7*f**2 - 4/7*f. Factor g(r).
-2*(r - 1)*(9*r - 2)/7
Suppose 3 + 13/2*s + 5/2*s**2 = 0. What is s?
-2, -3/5
Let p(r) be the third derivative of r**9/50400 - r**8/10080 + r**7/6300 - r**5/60 - r**2. Let s(g) be the third derivative of p(g). Factor s(d).
2*d*(d - 1)*(3*d - 2)/5
Let c(i) = 7*i**3 - 2*i**2 - 3*i - 3. Let j be c(3). Let v be -1*j/(-9) - 1. Factor -8/3 - 16*w - 30*w**2 - v*w**3.
-2*(w + 1)*(5*w + 2)**2/3
Let l(c) be the third derivative of 1/360*c**6 + 0*c**3 + 5*c**2 + 0*c + 1/1008*c**8 + 0*c**5 + 0 + 1/315*c**7 + 0*c**4. Determine s, given that l(s) = 0.
-1, 0
Let l(w) be the first derivative of -7*w**5/10 + w**4/4 + 7*w**3/6 - w**2/2 + 4. Find h such that l(h) = 0.
-1, 0, 2/7, 1
What is k in 4/5*k + 2/5*k**2 + 0 = 0?
-2, 0
Factor 5*c**2 + 149*c + 191 + 149 - 219*c - 95.
5*(c - 7)**2
Let o(b) be the third derivative of b**8/560 + b**7/350 - b**6/200 - b**5/100 + 14*b**2. Factor o(i).
3*i**2*(i - 1)*(i + 1)**2/5
Suppose 6*f + 16*f - 88 = 0. Solve -5/8*g**3 + 3/8*g**2 + 1/8*g + 1/4*g**f - 1/8 = 0.
-1/2, 1
Let y(b) be the third derivative of b**7/420 + b**6/60 + b**5/20 + b**4/12 - b**3/6 - 2*b**2. Let u(m) be the first derivative of y(m). Factor u(p).
2*(p + 1)**3
Factor 3/2*v**2 + 0*v**3 + 0 - 1/2*v**4 - v.
-v*(v - 1)**2*(v + 2)/2
Factor 1 + 3/2*p + 0*p**2 - 1/2*p**3.
-(p - 2)*(p + 1)**2/2
Solve -16/9*t - 10/9*t**2 - 2/9*t**3 - 8/9 = 0.
-2, -1
Let s = 1248233562 - 11787069515160/9443. Let c = s + -2/1349. Factor 16/7*z**3 + 6/7*z**4 + 0*z - 18/7*z**5 - c*z**2 + 0.
-2*z**2*(z + 1)*(3*z - 2)**2/7
Let r(q) = 15*q**3 + 69*q**2 - 30*q - 2. Let p(s) = 60*s*