+ 6*l**2 - 12*l/5 - 1. Suppose a(m) = 0. Calculate m.
2/7, 1, 2
Let t(n) = -5*n**2 - 31*n - 36. Let y(w) = 55*w**2 + 340*w + 395. Let u(d) = -65*t(d) - 6*y(d). Factor u(b).
-5*(b + 2)*(b + 3)
Let h(z) be the first derivative of z**4/2 - 3*z**2 + 4*z - 14. Factor h(p).
2*(p - 1)**2*(p + 2)
Suppose -3/7*b**3 + 3/7*b - 3/7*b**4 + 0 + 3/7*b**2 = 0. What is b?
-1, 0, 1
Let w(z) = z**2 - 15*z + 18. Suppose 17 = -3*x + 59. Let t be w(x). Factor 0*i**2 - 8/3*i + 0 - 2/3*i**t + 2*i**3.
-2*i*(i - 2)**2*(i + 1)/3
Let c be 4/10 + (-3)/(-5). Let b(q) = -q**2 + q - 2. Let d(v) = -v. Let n(x) = c*b(x) - 2*d(x). Suppose n(y) = 0. What is y?
1, 2
Suppose 0 = 35*u - 40*u. Factor 44/3*v**4 + 16/3*v**2 - 10/3*v**5 + 0 - 56/3*v**3 + u*v.
-2*v**2*(v - 2)**2*(5*v - 2)/3
Let y(d) = 3 - d**3 + 5*d**3 + 1 - d + 36*d**2 + 69*d. Let j(n) = -4*n**3 - 35*n**2 - 67*n - 3. Let s(a) = 4*j(a) + 3*y(a). Factor s(u).
-4*u*(u + 4)**2
Let f be (-177)/(-21) + 10/(-2). Find b, given that f*b**2 + 4/7*b + 46/7*b**4 + 0 + 15/7*b**5 + 51/7*b**3 = 0.
-1, -2/3, -2/5, 0
Let w be (-11 - -8)*(-14)/45. Let j(t) be the first derivative of -t**2 - 4/5*t + w*t**3 - 2. Factor j(y).
2*(y - 1)*(7*y + 2)/5
Suppose 38*z = 36*z. Let l(k) be the second derivative of -1/20*k**5 + 1/30*k**6 + 1/42*k**7 - 4*k + z*k**2 + 0 + 0*k**3 - 1/12*k**4. What is y in l(y) = 0?
-1, 0, 1
Suppose -3*m = 2*c - 9 - 6, m - 4*c + 9 = 0. Let h(x) be the first derivative of 2/3*x**3 + 2*x - m + 2*x**2. Solve h(f) = 0 for f.
-1
Determine w, given that -2*w + 0 + 2*w**3 - 1 + 3*w**4 - 2*w**4 = 0.
-1, 1
Suppose -26*a + 19 = -85. Let b(k) be the second derivative of 1/6*k**3 + 1/24*k**a + 5*k + 0 + 1/4*k**2. Factor b(p).
(p + 1)**2/2
Let f(w) = -24*w**3 - 3*w**2 - 3*w - 3. Let s(g) = -g**4 + 23*g**3 + 2*g**2 + 2*g + 2. Let y(t) = -2*f(t) - 3*s(t). Factor y(r).
3*r**3*(r - 7)
Suppose -5*g - 3*h = -5, h + 3*h = 5*g - 5. Suppose 15 = 3*i + 5*c - 2*c, 15 = 3*i + 5*c. Factor 2*u**2 + i*u**4 - 3*u**4 - 4*u**3 - g + 1.
2*u**2*(u - 1)**2
Let z(a) = -a**2 - 14*a - 14. Let f be z(-12). Let c = f - 10. Factor 7/3*x**3 + c - 5/3*x**2 - 2/3*x.
x*(x - 1)*(7*x + 2)/3
Let g(f) be the third derivative of f**7/210 + f**6/120 + 5*f**2. Let g(m) = 0. What is m?
-1, 0
Let u(l) be the second derivative of -l**8/1680 + l**7/525 - l**5/150 + l**4/120 + l**2 + l. Let j(p) be the first derivative of u(p). Solve j(f) = 0 for f.
-1, 0, 1
Let x = 80 + -75. Let y(p) be the third derivative of 1/9*p**3 - 1/72*p**4 + 0*p - 1/180*p**x + p**2 + 0. Factor y(d).
-(d - 1)*(d + 2)/3
Let n(p) be the second derivative of p**10/15120 + p**9/12600 - p**8/8400 + p**4/3 + p. Let b(c) be the third derivative of n(c). Factor b(d).
2*d**3*(d + 1)*(5*d - 2)/5
Let u = 15/11 + -34/33. Let i(q) be the first derivative of -u*q**2 + 0*q + 1/3*q**5 + 1/9*q**3 + 2/3*q**4 + 1. Factor i(m).
m*(m + 1)**2*(5*m - 2)/3
Determine a, given that -2/7*a**3 + 0 + 2/7*a - 4/7*a**4 + 4/7*a**2 = 0.
-1, -1/2, 0, 1
Let z(g) = -2*g**2 + 4*g + 2. Let c(h) = 1. Let b(p) = 4*c(p) - z(p). Factor b(n).
2*(n - 1)**2
Let v = -4 + 9. Suppose 4*l + 16 = v*p, 0*l + 5*l = -3*p - 20. Suppose 3*r + 10*r**2 + p*r + r = 0. Calculate r.
-2/5, 0
Let s(f) = -36*f**2 - 42*f - 3. Let n(h) = -18*h**2 - 21*h - 2. Let c(g) = -9*n(g) + 4*s(g). What is w in c(w) = 0?
-2/3, -1/2
Let o(d) be the second derivative of d**4/60 + d**3/30 - d**2/5 + 3*d. Factor o(c).
(c - 1)*(c + 2)/5
Let u = -39 - -20. Let q = -14 - u. Suppose -1/5*o**4 + 1/5*o**2 + 1/5*o**q + 0 + 0*o - 1/5*o**3 = 0. Calculate o.
-1, 0, 1
Let h(w) be the second derivative of -w**9/1512 + w**7/210 - w**5/60 + w**3 - 4*w. Let v(o) be the second derivative of h(o). Determine r so that v(r) = 0.
-1, 0, 1
Let z(c) = -c**2 + 4*c + 2. Let y be z(4). Solve 0*n - 2/9*n**y + 2/9*n**3 + 0 = 0 for n.
0, 1
Let t(w) be the first derivative of -w**6/540 - w**5/270 + w**4/108 + w**3/27 - w**2 + 3. Let j(s) be the second derivative of t(s). Factor j(f).
-2*(f - 1)*(f + 1)**2/9
Let q be -1 + 3 - (0 + 30). Let n be (-1)/2 + (-22)/q. Factor -6/7*s**2 - 2/7 - 6/7*s - n*s**3.
-2*(s + 1)**3/7
Let o = -19 - -20. Let y(q) = -q**2 - q. Let r(s) = -2*s**2 - 2*s. Let k(g) = o*r(g) - 3*y(g). Determine w so that k(w) = 0.
-1, 0
Let w(l) = -8*l**2 + 10*l + 5. Let a(j) = -j**2 + j + 1. Let d(u) = -14*a(u) + 2*w(u). Factor d(k).
-2*(k - 2)*(k - 1)
Let c(l) be the third derivative of -l**6/40 + l**4/8 + l**2. Factor c(s).
-3*s*(s - 1)*(s + 1)
Let s(z) = -z**3 - 20*z**2 + z + 23. Let m be s(-20). Factor -2/5*q**m + 18/5 - 6/5*q - 2*q**2.
-2*(q - 1)*(q + 3)**2/5
Suppose 0 = -2*n + 5*k - 11, n - 19 = -4*n - 3*k. Factor 2/9 - 2/3*b**n + 0*b - 4/9*b**3.
-2*(b + 1)**2*(2*b - 1)/9
Suppose u + 43 = -j, -2*u - 84 = 2*j - j. Let g = -122/3 - u. Factor -g*w**2 + 0 - 1/3*w**3 + 2/3*w.
-w*(w - 1)*(w + 2)/3
Let d(p) be the first derivative of 7*p**8/144 + 2*p**7/45 + p**6/90 + 2*p**2 - 1. Let s(u) be the second derivative of d(u). Let s(h) = 0. What is h?
-2/7, 0
Let f(j) be the second derivative of -j**6/10 + 13*j**5/20 - 7*j**4/6 - 2*j**3/3 + 4*j**2 - 38*j. Determine s so that f(s) = 0.
-2/3, 1, 2
Let v(t) be the third derivative of -t**9/15120 + t**7/840 - t**6/360 + t**4/8 - t**2. Let i(z) be the second derivative of v(z). Factor i(p).
-p*(p - 1)**2*(p + 2)
Let t(k) be the second derivative of -k**7/21 - 2*k**6/15 + k**5/10 + k**4/3 - 7*k. Find c, given that t(c) = 0.
-2, -1, 0, 1
Let h(f) be the second derivative of 0 - f - 1/6*f**4 - 2*f**2 + f**3. Factor h(s).
-2*(s - 2)*(s - 1)
Let a(y) be the first derivative of 0*y**3 - y**4 + 0*y**5 + y**2 + 5 + 1/3*y**6 + 0*y. Let a(z) = 0. What is z?
-1, 0, 1
Let h(z) be the second derivative of -1/20*z**5 + 2*z + 1/12*z**4 + 0 + 3/2*z**2 + 5/6*z**3. Factor h(a).
-(a - 3)*(a + 1)**2
Suppose -m = -2*g + 2, 7*g - 2*g = -4*m + 18. Let a be ((-2)/(-8))/((-29)/(-116)). Factor 1/2*q - 3/2*q**3 - 2*q**m + a.
-(q + 1)**2*(3*q - 2)/2
Let s(x) be the third derivative of 0 + 0*x - 1/6*x**5 - 4/3*x**3 - 4*x**2 + 1/60*x**6 + 2/3*x**4. Solve s(c) = 0.
1, 2
Factor 0*g + 0*g**2 + 0 - 2/9*g**4 + 4/9*g**3.
-2*g**3*(g - 2)/9
Let l(o) be the first derivative of o**3/18 - 5*o**2/6 + 3*o/2 + 12. What is s in l(s) = 0?
1, 9
Let r(y) be the first derivative of -y**6/39 - 2*y**5/65 + 3*y**4/26 + 2*y**3/39 - 2*y**2/13 - 6. Suppose r(m) = 0. What is m?
-2, -1, 0, 1
Let s(w) be the third derivative of -w**6/240 - w**5/60 - w**4/48 + 9*w**2. Suppose s(c) = 0. What is c?
-1, 0
Factor -3*q - 21 + 0*q**2 + 21 + q**2.
q*(q - 3)
Suppose s - 3 = 1. Suppose 2*d = -3*d - s*t + 20, 4*d + 10 = 2*t. Factor d*w**3 - 2*w**3 + 0*w**3.
-2*w**3
Let d(j) = -14*j**2 - 6*j + 8. Suppose -2*x + 2*q + 2 = 14, q = -5*x. Let r(l) = -l**2 - l. Let n(h) = x*d(h) + 10*r(h). Factor n(m).
4*(m - 2)*(m + 1)
Let s(h) = h**3 + 0 - 3 + 3 - 1 + h**2 - h. Let a be s(-1). Let 2 + 6*w - 2*w + 2*w**3 + 2*w + a*w**2 + 6*w**2 = 0. Calculate w.
-1
Let l(p) be the first derivative of 1/8*p**2 - 1/16*p**4 - 1/6*p**3 + 3 + 1/2*p. Factor l(u).
-(u - 1)*(u + 1)*(u + 2)/4
Let m be (3 - (-1 + 2)) + 0. Let j = 13 + -9. Factor c**4 - 3*c**2 + 2*c**m + 0*c**j.
c**2*(c - 1)*(c + 1)
Let a = -223/3 + 75. Factor 2/3*u**3 - 4/3*u - a*u**2 + 0.
2*u*(u - 2)*(u + 1)/3
Determine o so that -1/6*o**4 + 1/3*o**3 - 1/6*o**2 + 0*o + 0 = 0.
0, 1
Let b = -5/18 - -1/3. Let q(n) be the third derivative of 0 + b*n**4 + 2/9*n**3 + n**2 + 1/180*n**5 + 0*n. Determine h, given that q(h) = 0.
-2
Factor 0*i + 0 + 0*i**3 + 4/5*i**5 + 4/5*i**4 + 0*i**2.
4*i**4*(i + 1)/5
Let a(f) be the second derivative of -f**5/240 + f**4/24 - f**3/8 - f**2/2 - 2*f. Let j(z) be the first derivative of a(z). Factor j(t).
-(t - 3)*(t - 1)/4
Let x(v) = 3*v**2 - 3*v - 4. Let s be x(2). Solve 0 + 2/7*a**s - 4/7*a + 2/7*a**3 = 0 for a.
-2, 0, 1
Let z(m) = m**4 + 3*m**3 + 3*m**2 - m + 2. Let j(w) = w**4 + 3*w**3 + 3*w**2 - 2*w + 3. Let k(h) = -2*j(h) + 3*z(h). Factor k(n).
n*(n + 1)**3
Let q(r) be the third derivative of -r**7/1260 - 7*r**6/360 - 49*r**5/360 + 2*r**2. Let q(n) = 0. Calculate n.
-7, 0
Let s = -24 + 24. Suppose 0*n + s - 4/3*n**4 - 2/3*n**3 + 0*n**2 + 2*n**5 = 0. What is n?
-1/3, 0, 1
Let t(y) be the first derivative of y**5/35 + y**4/14 + y**3/21 + 4. Factor t(l).
l**2*(l + 1)**2/7
Let m = 39 - 69. Let g be -12*(-4)/m + 2. Factor -g*k**2 - 2/5*k**3 + 0 + 4/5*k.
-2*k*(k 