 Let j(n) be the second derivative of 1/6*n**4 + n**p + 3*n - 2/3*n**3 + 0. Factor j(l).
2*(l - 1)**2
Let 4/3 + 2/3*x**2 - 2*x = 0. What is x?
1, 2
Let i(q) be the second derivative of q**7/147 + 4*q**6/105 + q**5/14 + q**4/21 + 2*q + 45. Factor i(u).
2*u**2*(u + 1)**2*(u + 2)/7
Let r(v) = -v**5 + v**4 - 1. Let w(c) = -6*c**5 + 5*c**4 + 7*c**3 - 2*c**2 - 12*c + 3. Let q(y) = 5*r(y) - w(y). Determine l so that q(l) = 0.
-2, 1, 2
Let n(y) be the second derivative of 3*y**4/28 + 2*y**3/7 + 3*y**2/14 - 3*y - 5. Let n(q) = 0. What is q?
-1, -1/3
Let d be ((-477)/36)/((-322)/8). Let n = d + -1/23. Suppose -4/7*t - n - 2/7*t**2 = 0. What is t?
-1
Suppose -5*v = 14 - 4. Let w(u) = -u**3 - u**2 + u + 1. Let d be w(v). Factor 0*m + 4/9*m**2 - 2/9*m**4 - 2/9 + 0*m**d.
-2*(m - 1)**2*(m + 1)**2/9
Let k(m) be the first derivative of -2/9*m**3 - 8/3*m + 4/3*m**2 + 1. Solve k(i) = 0 for i.
2
Let i(d) be the first derivative of 1/3*d**3 - 1/2*d**2 + 1/4*d**4 + 2 - d. Factor i(u).
(u - 1)*(u + 1)**2
Let b(o) be the second derivative of 0 + 3*o + 0*o**3 + 0*o**2 + 1/25*o**5 - 1/15*o**4. Factor b(l).
4*l**2*(l - 1)/5
Let b(m) be the third derivative of m**6/24 + 2*m**5/15 + m**4/8 - 3*m**2. Factor b(j).
j*(j + 1)*(5*j + 3)
Factor 2/3*j - 1/3*j**4 - 2/3*j**3 + 0 + 1/3*j**2.
-j*(j - 1)*(j + 1)*(j + 2)/3
Let i = -3 + 2. Let c be 3 + i*(-1 - -1). Factor 18*u**2 - c*u**5 + 1 - 5*u + 0*u**5 - 22*u**3 - 2*u + 13*u**4.
-(u - 1)**4*(3*u - 1)
Let i(l) be the third derivative of 1/60*l**5 + 0*l**6 + 0*l**3 + 0 + 2*l**2 + 0*l - 1/210*l**7 + 0*l**4. Factor i(n).
-n**2*(n - 1)*(n + 1)
Let p(f) be the third derivative of -f**5/30 + f**4/4 + 10*f**3/3 + 25*f**2. Find q, given that p(q) = 0.
-2, 5
Suppose -6*a - 10 = -34. Suppose -34 + 34 + 3*z**a + 3*z**5 = 0. What is z?
-1, 0
Let f = -5 + 7. Let u be 0*(-1 - f/(-3)). What is b in 0*b + 0*b**2 - 1/3*b**5 + 0 + 1/3*b**3 + u*b**4 = 0?
-1, 0, 1
Let f(b) = -2*b + 2. Let x be ((-2)/4 + 2)*4. Let s(z) = 3 - 3*z + 3*z**3 - x*z**3 + 2*z**3. Let a(m) = -3*f(m) + 2*s(m). Determine g so that a(g) = 0.
0
Let i = -6 + 14. Let m = 16 - i. Factor -m*s + s**2 - 3*s**2 + 6*s.
-2*s*(s + 1)
Find i, given that 21*i**4 - 4*i + 8*i**2 + 2*i**3 - 6 - 23*i**4 + 2*i**3 = 0.
-1, 1, 3
Let t(y) be the first derivative of y**5/20 - y**4/12 - y**3/3 - 3*y - 2. Let c(v) be the first derivative of t(v). Find x such that c(x) = 0.
-1, 0, 2
Let x = -320/21 + 109/7. Let -x*w**2 - 1/3*w + 1/3*w**3 + 1/3 = 0. What is w?
-1, 1
Let r be ((-9)/54)/(1/(-8)). Let v be 40*(33/(-18) - -2). Factor 0 - 25/3*i**3 + v*i**2 - r*i.
-i*(5*i - 2)**2/3
Let i(u) be the second derivative of -u**7/8820 + u**4/6 - u. Let l(o) be the third derivative of i(o). Factor l(v).
-2*v**2/7
Suppose 0 = 3*q + 2*a - 8, -3*q + 14 = 2*q + 4*a. Let -2 + 1 - 6*k**4 - 2*k**2 + q*k**5 + 1 + 6*k**3 = 0. Calculate k.
0, 1
Let j(c) be the third derivative of -c**6/270 - c**5/90 + c**4/54 + 14*c**2. Determine p, given that j(p) = 0.
-2, 0, 1/2
Find k such that 35*k**5 - 11*k**3 + 60*k**4 - 12*k**2 + 26*k**3 + 2*k**2 = 0.
-1, 0, 2/7
Let x be 3/(-48)*8/(-30). Let u(g) be the third derivative of -1/100*g**6 - 1/525*g**7 - 1/50*g**5 - g**2 + 0*g**3 + 0*g - x*g**4 + 0. Factor u(p).
-2*p*(p + 1)**3/5
Let s(z) be the second derivative of z**6/180 - z**5/15 + z**4/4 + 5*z**3/6 + 5*z. Let p(r) be the second derivative of s(r). Find u such that p(u) = 0.
1, 3
Let b = 79 - 235/3. Determine t so that -4/3*t + 2/3 + b*t**2 = 0.
1
Let i(y) be the second derivative of -3*y + 0 - 1/3*y**3 + 0*y**2 - 1/50*y**5 + 1/40*y**4 + 1/200*y**6. Let w(r) be the second derivative of i(r). Factor w(a).
3*(a - 1)*(3*a - 1)/5
Suppose -2*g = -3*h, g - 4*g + 11 = h. Let 2*z**2 + 0*z + 0*z - h*z**4 = 0. Calculate z.
-1, 0, 1
Suppose 4*n = n + 3. Factor -25*i**2 - n - 60*i - i**2 - 2*i**2 - 35 - 4*i**3.
-4*(i + 1)*(i + 3)**2
Solve 12*s**3 - 5*s**4 + 4*s**5 + 0*s**5 + 3*s**2 - 7*s**2 - 7*s**4 = 0 for s.
0, 1
Suppose -3*t = -2*t. Let w = 49/4 - 12. Factor t*z + 1/4*z**2 + 0 - 1/4*z**4 - 1/4*z**3 + w*z**5.
z**2*(z - 1)**2*(z + 1)/4
Factor -1856/3*o**2 + 0 - 316/3*o**4 - 432*o**3 - 256/3*o - 26/3*o**5.
-2*o*(o + 4)**3*(13*o + 2)/3
Let l = 798 + -2393/3. Determine s, given that l*s**2 - 1/3*s**4 + 0 + 0*s**3 + 0*s = 0.
-1, 0, 1
Let b = -5 + 10. Let h(o) = -o**3 + 4*o**2 + 7*o - 6. Let m be h(b). Suppose -5*f**4 + 3*f**m - 4*f**3 + 4*f**4 + 6*f**5 = 0. Calculate f.
-1, 0, 2/3
Suppose y = 4*y + 6. Let j be y/((-5)/6*1). Determine i, given that j + 12*i + 21/5*i**3 + 69/5*i**2 = 0.
-2, -1, -2/7
Let z(u) be the second derivative of 2*u**6/15 - u**4 + 4*u**3/3 + 8*u. Factor z(j).
4*j*(j - 1)**2*(j + 2)
Let s be 3 - (45/(-3))/(-5). Factor s + 1/3*x**3 - 1/3*x**2 + 0*x.
x**2*(x - 1)/3
Suppose 0 = 3*q - 2*q - 2, -2 = -y - q. Solve 2/7*f**3 + 0*f + y + 0*f**2 = 0 for f.
0
Let f(o) be the second derivative of -4/15*o**4 + 0 + o + 2/75*o**6 + 0*o**2 - 1/25*o**5 + 8/15*o**3. Solve f(b) = 0.
-2, 0, 1, 2
Let c(f) be the second derivative of -f**4/6 + 4*f**3/3 - 4*f**2 + f. Find q, given that c(q) = 0.
2
Let l(m) be the second derivative of 0*m**2 + 3*m + 0 + 0*m**3 + 1/6*m**4. What is d in l(d) = 0?
0
Let u(o) be the first derivative of o**4/6 - 2*o**3/3 - 2*o + 1. Let y(c) be the first derivative of u(c). Factor y(v).
2*v*(v - 2)
Suppose -32 - 16*z**2 + 1180*z**3 - 112*z + 280*z**2 + 144*z**4 + 56*z**4 - 1500*z**5 = 0. What is z?
-2/5, 1/3, 1
Suppose -3 = u + t, -u = 4*u - 2*t - 6. Determine p so that 2/5*p**5 - 2/5*p + 0*p**3 + u + 4/5*p**4 - 4/5*p**2 = 0.
-1, 0, 1
Let r(p) be the third derivative of -p**9/45360 + p**8/20160 - p**4/24 + 5*p**2. Let s(b) be the second derivative of r(b). Let s(x) = 0. Calculate x.
0, 1
Find m such that 1 + 2*m**2 - 1/2*m**3 - 5/2*m = 0.
1, 2
Let f(d) be the third derivative of -d**9/1512 + d**7/420 + d**3/3 + 2*d**2. Let p(q) be the first derivative of f(q). Determine b so that p(b) = 0.
-1, 0, 1
Let v(y) be the second derivative of 0 + 1/3*y**3 + 0*y**2 + 3*y + 1/6*y**4. What is f in v(f) = 0?
-1, 0
Factor -132651/2*s**3 - 306*s + 7803*s**2 + 4.
-(51*s - 2)**3/2
Let b(v) be the second derivative of -3/20*v**5 + 0*v**4 - 3*v**2 + 0 - 4*v + 3/2*v**3. Suppose b(x) = 0. Calculate x.
-2, 1
Factor 0*z + 9/2*z**3 + 0 + z**2 + 7/2*z**4.
z**2*(z + 1)*(7*z + 2)/2
Let 0 - 4*q**3 + 6*q - 9 + 2*q**3 + 5 = 0. What is q?
-2, 1
Let -10/7*l + 4/7*l**2 + 6/7 = 0. What is l?
1, 3/2
Let m(r) be the third derivative of r**6/40 + r**5/20 - r**4/8 - r**3/2 + 15*r**2. Determine f, given that m(f) = 0.
-1, 1
Let j = 18 + -15. Let v(t) be the third derivative of 0*t + 1/8*t**4 + 1/120*t**6 + 0 - t**2 + 1/6*t**j + 1/20*t**5. What is b in v(b) = 0?
-1
Suppose -3*k = 2*k - 2*g - 136, 2*k = -5*g + 37. Suppose k*x**3 - 9*x**3 - 13*x**3 + 2*x**4 - 2*x**2 - 4*x = 0. What is x?
-2, -1, 0, 1
Let m be 1/((-6)/(-4) + 0). Let z = m - 0. Factor z*y**2 + 0 + 0*y.
2*y**2/3
Find x, given that 9/5*x + 6/5 + 3/5*x**2 = 0.
-2, -1
Let 2/3 + 2/3*j**2 - 4/3*j = 0. What is j?
1
Let d(z) = -z - 6. Let r be d(-8). Factor 6*h**2 - h**2 - 2*h**r - 3*h.
3*h*(h - 1)
Let f = -14 + 17. Factor -11*c**3 + 4*c**2 - 9*c**f + 2*c**3.
-2*c**2*(9*c - 2)
Let p(w) = 4*w**2 + 8*w - 3. Let j(h) = 3*h**2 + 5*h - 2. Let u(o) = -7*j(o) + 5*p(o). Let q be u(4). Factor 2*k**2 + 13*k**3 - 11*k**q - 4*k**2.
2*k**2*(k - 1)
Let h(a) be the second derivative of 2*a**6/15 + 3*a**5/5 + a**4 + 2*a**3/3 - 32*a. Factor h(q).
4*q*(q + 1)**3
Suppose -d - 4*d + 15 = 0. Let k(l) be the third derivative of 0*l**d - 1/100*l**5 + 1/120*l**6 - 1/60*l**4 + 0*l + 0 + l**2. Let k(a) = 0. What is a?
-2/5, 0, 1
Let s(y) be the second derivative of y**4/2 + 5*y**3/3 + 2*y**2 - 6*y. Factor s(j).
2*(j + 1)*(3*j + 2)
Let g(u) be the first derivative of -25/2*u**3 - 1 - 125/16*u**4 - 15/2*u**2 - 2*u. Factor g(p).
-(5*p + 2)**3/4
Determine c so that 576/7*c - 1536/7 + 3/7*c**3 - 72/7*c**2 = 0.
8
Let q be 0/((-12)/(-3) - 3). Let y = 5 - 5. Factor -1/4*a**4 - 1/4*a**3 + 1/2*a**5 + 0*a + q*a**2 + y.
a**3*(a - 1)*(2*a + 1)/4
Let g(j) be the third derivative of 0*j**4 + 0*j + 0*j**3 - 4*j**2 + 0 - 1/60*j**5 - 7/240*j**6. Factor g(w).
-w**2*(7*w + 2)/2
Solve 4/7 - 6/7*q + 2/7*q**3 + 0*q**2 = 0.
-2, 1
Let z be (-2)/4 + 3/(-10). Let h = z - -17/15. Suppose 0 + h*u**2 - 1/3*u = 0. Calculate u.
0, 1
Let u(c) = -48*c**3 - 81*c**2