**3 - 2*y**3 - 11*y - y**2 = 0?
-1, 1
Let j(v) = 2*v**3 + v**2 + 6*v + 2. Let h(u) = u**3 + u**2 + 3*u + 1. Let p(x) = -5*h(x) + 2*j(x). Factor p(w).
-(w + 1)**3
Let p = 403 - 2011/5. Determine m, given that -2/5*m**3 + 8/5*m**2 + p - 2*m = 0.
1, 2
Let y(o) be the first derivative of -3*o**4/28 + 30*o**3/7 - 450*o**2/7 + 3000*o/7 - 11. Suppose y(f) = 0. What is f?
10
Let m(l) be the second derivative of -l**5/4 - 11*l**4/6 - 4*l**3/3 - l. Factor m(o).
-o*(o + 4)*(5*o + 2)
Let o be (-7)/(-1) + 1 + -4. Let z be 4 + -8*2/o. Factor -2/3*u**2 + z*u + 0.
-2*u**2/3
Factor -6*t**3 + 1 - 5*t - t**2 + 9*t**2 + 2*t**3 + 0.
-(t - 1)*(2*t - 1)**2
Let v(y) be the third derivative of 9*y**8/112 + 11*y**7/70 + y**6/20 - 15*y**2. Factor v(a).
3*a**3*(a + 1)*(9*a + 2)
Let d(x) = x**2 + 4*x - 3. Let r be d(-5). Factor -r*b**2 - 5*b**3 + 4*b**2 - 3*b**5 + 3*b**5 + 4*b**4 - b**5.
-b**2*(b - 2)*(b - 1)**2
Let b be ((-1)/(-2))/(1/6). Suppose 4*v = 12, g - b*v - 11 = -6*v. Factor 0*c - c**3 - 2*c**2 + 2*c**2 - g + 3*c.
-(c - 1)**2*(c + 2)
Factor 0 + 4/3*j**2 - 4/3*j.
4*j*(j - 1)/3
Let r(l) = -l**4 - l**3 - l**2 - 1. Let d(i) = 3*i**3 + 1. Let p(u) = -d(u) - r(u). Factor p(f).
f**2*(f - 1)**2
Suppose g - 2 = 0, 2*v = 5*v - 4*g - 1. Factor 0 - 14/9*y**v + 0*y + 4/9*y**2 + 4/3*y**4.
2*y**2*(2*y - 1)*(3*y - 2)/9
Let v(a) be the first derivative of a**6/2 - 3*a**5/5 - 9*a**4/4 + 5*a**3 - 3*a**2 + 9. Let v(m) = 0. Calculate m.
-2, 0, 1
Suppose 0 + 0*n + 4/11*n**2 - 2/11*n**3 - 2/11*n**4 = 0. What is n?
-2, 0, 1
Let t(g) be the first derivative of -9*g**2 - 2*g - 25 - g - 5*g**3 + 21. Factor t(u).
-3*(u + 1)*(5*u + 1)
Suppose -3*x + 370 = -5*i, -x - 2*x = 4*i + 269. Let b = -211/3 - i. Suppose b*c**4 + 4/3*c - 4/3*c**3 + 0*c**2 - 2/3 = 0. What is c?
-1, 1
Solve -9 + 35*m**2 - 3*m**3 - 6 + 35*m - 11*m**3 - m**3 = 0.
-1, 1/3, 3
Let d(f) be the third derivative of -f**5/20 - f**4/4 - f**3/2 + 12*f**2. Find a, given that d(a) = 0.
-1
Suppose 3*b = -c + 11 - 2, -2*b + 2*c - 2 = 0. Suppose s - 10 = -2*q, 0*q - 5*s + 2 = -b*q. Factor -q*x + 4*x + 1 - x**2.
-(x - 1)*(x + 1)
Let i(q) be the first derivative of q**6/40 + q**5/40 - q**4/12 - q**3/12 + q**2/8 + 4*q - 2. Let z(v) be the first derivative of i(v). What is m in z(m) = 0?
-1, 1/3, 1
Let m(t) be the first derivative of 5*t**3/6 + 5*t**2/2 - 34. Find p, given that m(p) = 0.
-2, 0
Suppose 0*h + 10 = h - 5*t, -44 = -2*h + 4*t. Let -6*i**4 + h*i**3 + 4*i**5 - 19*i**5 + 12*i**2 - 7*i - 8*i - 6 = 0. What is i?
-1, -2/5, 1
Let r(h) = h. Let z be r(-2). Let d = z - -4. Factor 13*o**3 + d - 2*o**2 - 8*o - 5*o**3 + 0*o.
2*(o - 1)*(o + 1)*(4*o - 1)
Solve -q**2 + q + 27 + q**2 - 29 + q**2 = 0 for q.
-2, 1
Factor -915*y**2 - 1 + 918*y**2 - 3 - y**3.
-(y - 2)**2*(y + 1)
Let d be (2 - -1)*8/6. Let q be (-5)/3*17/(-85). Solve 0 - 1/3*h**3 + q*h**d - 1/3*h**2 + 1/3*h = 0 for h.
-1, 0, 1
Factor -3*t**2 - 5 + 4*t - 5*t**2 + 1 + 16*t**2.
4*(t + 1)*(2*t - 1)
Let q(v) be the first derivative of 4 + 1/42*v**3 + 3*v + 0*v**2 - 1/84*v**4. Let s(a) be the first derivative of q(a). Suppose s(m) = 0. Calculate m.
0, 1
Let u(b) be the first derivative of 2*b**5/25 - b**4/5 - 14*b**3/15 - 4*b**2/5 - 8. Factor u(v).
2*v*(v - 4)*(v + 1)**2/5
Let d(i) be the second derivative of -i**7/49 + 3*i**5/70 + 19*i. Factor d(o).
-6*o**3*(o - 1)*(o + 1)/7
Let n = 45 + -41. Let u(c) be the first derivative of -1/3*c**n - 4/9*c**3 + 1/9*c**6 + 2/15*c**5 + 1/3*c**2 + 2/3*c - 1. Let u(w) = 0. Calculate w.
-1, 1
Let i(l) be the second derivative of l**4/3 - 16*l**3/3 + 19*l. Solve i(h) = 0.
0, 8
Let a(d) be the second derivative of d**6/120 - d**5/80 - d**4/48 + d**3/24 + 18*d. What is f in a(f) = 0?
-1, 0, 1
Suppose 14*o - 20 = 36. Let c(w) be the first derivative of -1/4*w**4 + o - w**3 + 4*w + 0*w**2. Factor c(y).
-(y - 1)*(y + 2)**2
Let m(n) be the second derivative of -n**5/70 - n**4/7 - 4*n**3/7 - 8*n**2/7 - 21*n. Factor m(k).
-2*(k + 2)**3/7
Let q be ((-2)/(-6))/((-1)/3). Let a = q - -1. Factor -2/5*l**3 + 0 + 0*l + a*l**2.
-2*l**3/5
Let l be 9/20 - 20/100. Factor 1/4*k - 1/2*k**4 + 0 + 0*k**3 - l*k**5 + 1/2*k**2.
-k*(k - 1)*(k + 1)**3/4
Let u(n) be the first derivative of -69/5*n**5 + 7/2*n**6 + 3*n**2 + 0*n - 13*n**3 - 3 + 81/4*n**4. Determine c so that u(c) = 0.
0, 2/7, 1
Suppose -s - 2 = -2*q + s, -s + 14 = 4*q. Let w(m) = 9*m**2 - 12*m + 3. Let j(l) = -5*l**2 + 6*l - 1. Let y(c) = q*w(c) + 5*j(c). Factor y(n).
2*(n - 2)*(n - 1)
Determine r so that 0 - 1/2*r**4 - 1/2*r**2 - r**3 + 0*r = 0.
-1, 0
Suppose c - o = 8, -2*o - 6 = 2. Let b be c + (42/(-9) - -1). Factor 1/3*x**2 - b + 0*x.
(x - 1)*(x + 1)/3
Let n(a) be the third derivative of a**5/450 - a**3/45 - 13*a**2. Find q such that n(q) = 0.
-1, 1
Let r(o) be the third derivative of o**6/270 - o**5/54 + o**4/27 - o**3/27 + 4*o**2. Let r(y) = 0. What is y?
1/2, 1
Suppose 3 + 3 = 2*x. Let y(o) be the third derivative of 0*o**x - 1/120*o**6 + 1/60*o**5 - 1/72*o**4 + 0*o + 2*o**2 + 1/630*o**7 + 0. Factor y(m).
m*(m - 1)**3/3
Let h = -227/2 - -114. Suppose 0 = 6*b - 5*b. Find f, given that b - h*f**2 - f = 0.
-2, 0
Let v(m) = -2*m**2 + 36*m + 62. Let k(c) = -c**2 + 24*c + 41. Let x(o) = -8*k(o) + 5*v(o). Determine s so that x(s) = 0.
-3
Let t(k) be the first derivative of k**5/240 - 3*k**2/2 + 2. Let c(i) be the second derivative of t(i). Solve c(w) = 0 for w.
0
Suppose -2 = -0*k - k. Let 10*c - 12*c**k - 9*c**3 + 2*c - 16*c = 0. Calculate c.
-2/3, 0
Let n(k) be the third derivative of k**7/70 + k**6/40 - 9*k**2. Determine c, given that n(c) = 0.
-1, 0
Let l = -5/19 + 39/76. Let w(x) be the first derivative of -1/8*x**4 + 3/8*x**2 + l*x + 2 + 1/6*x**3 - 3/20*x**5 - 1/24*x**6. Factor w(t).
-(t - 1)*(t + 1)**4/4
Factor 1/8*a**3 + 1/8 - 1/8*a**2 - 1/8*a.
(a - 1)**2*(a + 1)/8
Let m(n) be the first derivative of 2*n**3/21 - 2*n/7 - 10. Factor m(i).
2*(i - 1)*(i + 1)/7
Let l(z) be the second derivative of 0*z**2 + 0*z**3 - 1/25*z**6 - 3/50*z**5 - 3*z + 0 - 1/30*z**4 - 1/105*z**7. Find b such that l(b) = 0.
-1, 0
Let o(g) be the third derivative of -1/60*g**5 + 0*g + 0 - 1/2*g**3 - g**2 - 1/6*g**4. Find i such that o(i) = 0.
-3, -1
Let b be -1 + 3/5 - 88/(-120). Let s(a) be the first derivative of 2 + b*a**4 - 16/9*a**3 - 1/9*a**6 - 4/3*a + 4/15*a**5 + 7/3*a**2. Factor s(w).
-2*(w - 1)**4*(w + 2)/3
Let c(r) be the second derivative of -r**5/5 + 2*r**3/3 - 4*r. Factor c(b).
-4*b*(b - 1)*(b + 1)
Suppose 5*a - 2*y - 15 = 0, 3*a - 2*y = -0*y + 9. Solve a*w**2 - 4*w**2 + 3*w - 3*w - 2 - 3*w = 0.
-2, -1
Let g be 116*(7/(-2))/(-7). Let s be g/28 + (-4)/7. Factor s*o**3 + 3/2*o**4 - 3/2*o - 3/2*o**2 + 0.
3*o*(o - 1)*(o + 1)**2/2
Let t(n) be the second derivative of -7*n**6/15 + 8*n**5/5 - 11*n**4/6 + 2*n**3/3 - n. Determine m so that t(m) = 0.
0, 2/7, 1
Let l(p) be the third derivative of -p**5/210 + p**4/28 - 2*p**3/21 + 11*p**2. Factor l(a).
-2*(a - 2)*(a - 1)/7
Let g = -41 - -41. Let a(v) be the second derivative of 1/30*v**4 + g - 1/15*v**3 - v - 2/5*v**2. Factor a(w).
2*(w - 2)*(w + 1)/5
Let r(f) = -f**3 + 5*f**2 - 10*f + 26. Let c be r(4). Factor c*w**2 + 5/2*w + 1 + 1/2*w**3.
(w + 1)**2*(w + 2)/2
Let x(s) = -s**3 - 3*s**2 - 17*s - 5. Let r(k) = 4*k**3 + 8*k**2 + 52*k + 16. Let a(j) = 5*r(j) + 16*x(j). Find m such that a(m) = 0.
-1, 0, 3
Find n such that -27/2 - 27/2*n - 9/2*n**2 - 1/2*n**3 = 0.
-3
Let g(b) be the second derivative of b**5/120 + b**4/48 + b**2 + b. Let d(j) be the first derivative of g(j). What is p in d(p) = 0?
-1, 0
Suppose 0 = 9*i - 6*i - 33. Let -t + 5*t + 12*t**2 - 5*t**3 - i*t**3 = 0. What is t?
-1/4, 0, 1
Let 4/7*o**3 + 0*o + 0*o**2 + 0 - 2/7*o**4 = 0. Calculate o.
0, 2
Factor 0*m + 2/3*m**4 + 0*m**3 - 8/9*m**2 - 2/9*m**5 + 0.
-2*m**2*(m - 2)**2*(m + 1)/9
Let u be (-1*18/21)/((-9)/42). What is x in -1/4*x**u - 1/4*x**2 + 3/4*x**3 + 1/2 - 3/4*x = 0?
-1, 1, 2
Let s be ((-3)/(-5))/((-75)/(-10)). Let x(t) be the second derivative of -s*t**5 + 1/75*t**6 + 1/6*t**4 - 3*t + 0 + 0*t**2 - 2/15*t**3. Factor x(k).
2*k*(k - 2)*(k - 1)**2/5
Let u(d) be the second derivative of d**7/1260 - 2*d**4/3 - 5*d. Let p(l) be the third derivative of u(l). What is s in p(s) = 0?
0
Let n(q) be the second derivative of -q**5/60 - q**4/36 + 2*q**3/9 + 2*q**2/3 - 10*q. Factor n(j).
-(j - 2)*(j + 1)*(j + 2)/3
Let q be -7*3*(