3 - 14/5*n**5 + 0*n + 0*n**i + 5/2*n**4 + 2. Find o such that g(o) = 0.
-2/7, 0, 1
Let k(i) = 3*i - 4. Let t be k(4). Factor 9*y**2 + 7*y**2 + 6 + 2*y**4 - 4 + 8*y - 4*y**2 + t*y**3.
2*(y + 1)**4
Suppose -2/3*g + 2*g**2 - 2/3*g**4 + 2/3*g**3 - 4/3 = 0. Calculate g.
-1, 1, 2
Let g(l) = l**2 - l - 2. Let x be g(3). Let s be ((-18)/(-10))/((-30)/(-50)). Factor -2*u**5 + x - 4*u**2 + 3*u + 3*u**4 - 3*u**4 - 9*u + 8*u**s.
-2*(u - 1)**3*(u + 1)*(u + 2)
Let t = 291881/971831 + 3/7307. Let g = -2/133 + t. Determine n, given that g*n + 0 + 4/7*n**2 + 2/7*n**3 = 0.
-1, 0
Solve 0 + 72/13*z**3 - 24/13*z**2 + 2/13*z = 0 for z.
0, 1/6
Let j(o) be the third derivative of -o**8/2352 + o**6/280 + o**5/210 - 37*o**2. Factor j(m).
-m**2*(m - 2)*(m + 1)**2/7
Let d = -130 + 652/5. Suppose 0*q - d*q**2 + 0 = 0. What is q?
0
Let p(k) be the first derivative of -1/2*k**4 + 2/3*k**3 + 1/6*k**6 + 1/2*k**2 - 1/5*k**5 - 3 - k. Factor p(x).
(x - 1)**3*(x + 1)**2
Let a(n) = n**2 - 6*n - 3. Let i(l) = l**2 - 5*l - 2. Let f be (-10)/(-4)*(-48)/40. Let j(o) = f*a(o) + 4*i(o). Let j(z) = 0. What is z?
1
Let h(g) = -g**5 + g**4 + 3*g**3 + 5*g**2 - 8*g + 6. Let d(z) = -z**5 + z**4 + 3*z**3 + 4*z**2 - 7*z + 5. Let t(b) = -6*d(b) + 5*h(b). What is u in t(u) = 0?
-1, 0, 1, 2
Let c(m) be the third derivative of m**6/280 + m**5/70 - 5*m**4/56 - 3*m**3/7 - 16*m**2. Factor c(v).
3*(v - 2)*(v + 1)*(v + 3)/7
Let k(s) be the second derivative of -s**6/40 + 3*s**5/80 + s**4/16 - s**3/8 + 12*s. Let k(m) = 0. What is m?
-1, 0, 1
Let c(m) be the third derivative of -1/15*m**5 - 1/168*m**8 + 1/105*m**7 + 0 + 1/3*m**3 + 0*m - m**2 - 1/12*m**4 + 1/30*m**6. Find a such that c(a) = 0.
-1, 1
Let t(f) be the second derivative of -5*f**4/16 - f**3/16 + 3*f**2/8 - 30*f. Determine h, given that t(h) = 0.
-1/2, 2/5
Let d(r) = r**3 + 4*r**2 + 4. Suppose -2*z + z = -3*p - 9, -p - 3*z - 13 = 0. Let h be d(p). Factor 2/5*b**h + 0 - 4/5*b - 8/5*b**3 + 2*b**2.
2*b*(b - 2)*(b - 1)**2/5
Let u(n) = -3*n**2 - n - 1. Let a(t) = t**2 + 1. Let c(l) = -5*a(l) - 2*u(l). Let p be c(2). Let q**3 - 2*q**p + 7*q**3 - 4*q**3 + 2*q**4 = 0. Calculate q.
-1, 0, 2
Solve -9/4*g**2 + 3/2*g + 0 - 15/4*g**3 = 0 for g.
-1, 0, 2/5
Let x(l) be the second derivative of 0 + 0*l**2 + 7*l + 1/33*l**3 + 1/66*l**4. Factor x(n).
2*n*(n + 1)/11
Suppose 3*d - 2*d - 3*i = -1, 4*i + 8 = -d. Let j be -3*(d - (-6 + 3)). Solve 0 + 0*u - 2/7*u**j - 2/7*u**2 = 0 for u.
-1, 0
Let m = 3 + 0. Let z(j) be the second derivative of 0*j**2 + 0 + 1/6*j**m + 1/6*j**4 + 1/20*j**5 + j. Factor z(g).
g*(g + 1)**2
Suppose -3*h - y = -16, 3*y = -2*h + 8 - 2. Suppose 4*f = h*f - 6. Factor 8*j**2 + 2*j**5 + 0*j**2 + 12*j**f + 8*j**4 + 0*j**5 + 2*j.
2*j*(j + 1)**4
Let k be ((-3)/4)/((-216)/64). Factor -k - 2*l**2 - 4/9*l**4 + 14/9*l**3 + 10/9*l.
-2*(l - 1)**3*(2*l - 1)/9
Let l(f) = f**2 + 6*f - 2. Let v = -10 + 3. Let u be l(v). Solve 0 + q - 3/4*q**3 + 1/4*q**u + 1/2*q**4 - q**2 = 0 for q.
-2, 0, 1
Let q(f) be the third derivative of f**6/120 + 5*f**2. Find j such that q(j) = 0.
0
Let z(v) be the second derivative of v**9/25200 - 3*v**8/11200 + v**7/1400 - v**6/1200 + v**4/2 + v. Let d(i) be the third derivative of z(i). Factor d(w).
3*w*(w - 1)**3/5
Let q(j) be the first derivative of -j - 1/2*j**2 - 3 + 1/4*j**4 + 1/3*j**3. Factor q(w).
(w - 1)*(w + 1)**2
Let f(g) = -7*g**2. Let h(s) be the third derivative of -s**5/6 + 3*s**2. Let p(y) = -7*f(y) + 5*h(y). Factor p(j).
-j**2
Let i(m) be the third derivative of -4*m**7/315 - 11*m**6/180 - m**5/10 - m**4/36 + m**3/9 + 3*m**2. Factor i(c).
-2*(c + 1)**3*(4*c - 1)/3
Suppose 0 = -q - 2 - 1, 4*n + 3*q = -1. Find p such that -6*p**4 - 4/3*p**3 + 2/3 - 8/3*p**5 + 4*p + 16/3*p**n = 0.
-1, -1/4, 1
Factor -7/9*k**3 + 0*k + 16/9*k**5 + 0 + 8/9*k**4 + 1/9*k**2.
k**2*(k + 1)*(4*k - 1)**2/9
Let a(b) be the second derivative of 1/300*b**6 + 0*b**4 + b**2 + 0*b**5 + 2*b + 0 + 0*b**3. Let z(m) be the first derivative of a(m). Factor z(q).
2*q**3/5
Factor -10*x**3 - 12 - 3*x**3 - 12*x + 3*x**2 + 16*x**3.
3*(x - 2)*(x + 1)*(x + 2)
Let h(c) = -3*c**2 - 11*c + 2. Let y(t) = 3*t**2 + 12*t - 3. Let r(o) = -o + 10. Let d be r(5). Let f(s) = d*y(s) + 6*h(s). Factor f(z).
-3*(z + 1)**2
Let o = 4 + -3. Let j(u) = u**3 - 3*u**2 + 2*u. Let g(t) = 3*t - 4*t + 3*t**2 - 2*t**2. Let z(c) = o*g(c) + j(c). Let z(y) = 0. Calculate y.
0, 1
Let q = 73/18 - 25/18. Factor -2/3*w**4 - 8/3*w**2 + 0 + 0*w - q*w**3.
-2*w**2*(w + 2)**2/3
Let x = 166 - 1158/7. Let g(d) be the first derivative of 1 - 2/21*d**3 + 3/7*d**2 - x*d. Factor g(r).
-2*(r - 2)*(r - 1)/7
Let u(j) = j**4 - j**3 + j - 1. Let h(f) = f**4 - 9*f**3 + 12*f**2 - 7*f + 3. Let k(t) = -h(t) - 3*u(t). Factor k(o).
-4*o*(o - 1)**3
Let k(d) = 2*d**2 + 12*d + 3. Let p be k(-6). Suppose 25/3*b**4 - 12*b**2 - 8/3*b - 10*b**p + 0 = 0. Calculate b.
-2/5, 0, 2
Suppose 0 = -2*a + 6*a - 16. Suppose 0 = a*i - 3*i - 2. Factor 0 + 1/3*m**i + 2/3*m.
m*(m + 2)/3
Factor 5/4*y + 0 + y**2 - 1/4*y**3.
-y*(y - 5)*(y + 1)/4
Let p(x) = -47*x - 2. Let i be p(-6). Let v = i - 833/3. Factor 0*c - 2/3*c**2 + 0 - v*c**4 + 3*c**3.
-c**2*(c - 1)*(7*c - 2)/3
Factor 0*s - 2/5*s**2 + 2/5.
-2*(s - 1)*(s + 1)/5
Let g = 20/7 - 193/70. Let i(x) be the third derivative of g*x**5 - 2*x**2 + 0*x**3 + 0 + 0*x - 1/6*x**4 - 1/60*x**6. Factor i(s).
-2*s*(s - 2)*(s - 1)
Let n = 1 + 1. Factor 2*i - 3*i**n - i**3 + 2*i - 6*i.
-i*(i + 1)*(i + 2)
Let z(m) = m**2 - m + 1. Let y(g) = 3*g**3 + 4*g**2 - g - 8. Let w(t) = -t**3 - 3*t**2 - 2*t - 4. Let f be w(-3). Let p(o) = f*z(o) + y(o). Factor p(l).
3*(l - 1)*(l + 1)*(l + 2)
Suppose 3*w - 87 = -5*b, b - 2*w + 5*w - 15 = 0. Suppose -15*z**3 - 1 - b*z - 33*z**2 - 3*z**3 - 2 + 0 = 0. Calculate z.
-1, -1/2, -1/3
Determine l, given that 51*l - 10 + 11 - 5*l**2 + 9 - 46*l = 0.
-1, 2
Let g be (-8)/(-63) - 40/(-420). Factor 4/9*y**2 - 4/9 + 2/9*y - g*y**3.
-2*(y - 2)*(y - 1)*(y + 1)/9
Suppose 0 = -2*g + n - 5, -4*g - 3*n = -10 - 5. Let r be 6*3/6 + g. Find h such that h**4 - 2*h**4 + 0*h**4 - h**r + h**2 + 2*h - h = 0.
-1, 0, 1
Factor 0*o**2 + 0 + 6/5*o**4 + 0*o - 4/5*o**3 - 2/5*o**5.
-2*o**3*(o - 2)*(o - 1)/5
Factor -1/4*l**3 + 3/2 + 5/4*l - 1/2*l**2.
-(l - 2)*(l + 1)*(l + 3)/4
Let z(j) be the second derivative of 1/30*j**6 + 0 + 1/12*j**4 + 0*j**3 - 2*j + 0*j**2 - 1/10*j**5. Factor z(v).
v**2*(v - 1)**2
Let w(q) be the first derivative of -41/16*q**4 + 1/4*q**5 - 3 + 25/24*q**6 - q - 1/12*q**3 + 2*q**2. Let w(f) = 0. What is f?
-1, 2/5, 1
Factor 0 + 39/7*y - 36/7*y**2 - 3/7*y**3.
-3*y*(y - 1)*(y + 13)/7
Let y be (-15)/54*(-3)/30. Let m(j) be the second derivative of 1/18*j**3 + 0 + 0*j**2 - y*j**4 + 3*j. Factor m(z).
-z*(z - 1)/3
Let v = 458/333 - 18/37. Solve -2/9*d + 0 - v*d**3 - 10/9*d**2 = 0 for d.
-1, -1/4, 0
Let r(v) be the first derivative of 3/20*v**4 - 1/5*v**3 + 1 + 0*v + 0*v**2. Factor r(i).
3*i**2*(i - 1)/5
Let -4/11*c**4 + 8/11*c**2 - 2/11*c**5 - 4/11 - 2/11*c + 4/11*c**3 = 0. Calculate c.
-2, -1, 1
Let l(w) be the second derivative of w**9/3024 + w**8/840 + w**7/840 + w**3/2 + 2*w. Let k(a) be the second derivative of l(a). Let k(r) = 0. Calculate r.
-1, 0
Let c = -93 + 655/7. Determine v, given that c - 22/7*v + 18/7*v**2 = 0.
2/9, 1
Let r = 141/5 - 28. Suppose 0 = k + 2*n - 0*n - 10, 0 = 2*k + n - 8. What is q in -4/5*q**3 + 4/5*q - r*q**k + 1/5 = 0?
-1, -1/4, 1
Let w(x) be the first derivative of -x**6/72 - x**5/10 - x**4/6 - 5*x**3/3 - 6. Let g(y) be the third derivative of w(y). Factor g(p).
-(p + 2)*(5*p + 2)
Let x(y) = -3*y**2 - y + 2. Let m(p) = p**2 + p. Let r(j) = 2*m(j) + x(j). What is w in r(w) = 0?
-1, 2
Let m(w) be the second derivative of 1/9*w**3 + 0 - 1/90*w**6 + 0*w**5 + 5*w + 1/12*w**4 + 0*w**2. Find p such that m(p) = 0.
-1, 0, 2
Let s be ((-3)/(-14))/(648/63). Let v(f) be the second derivative of 1/40*f**5 + 7/120*f**6 + 0*f**2 - f - s*f**4 + 0*f**3 + 0 + 1/42*f**7. Factor v(k).
k**2*(k + 1)**2*(4*k - 1)/4
Let k(z) = -z**4 - z**2 + z. Let o(u) = -21*u**4 - 12*u**3 - 36*u**2 + 6*u - 3. Let g(p) = -18*k(p) + o(p). Let g(x) = 0. What is x?
-1
Let l = 6231 - 31302/5. Let b = -29 - l. Factor 1/5*u**2 + 0 + 0*u + 0*u**3 + b*u**5 - 3/5*u**4.
u**2*(u - 1)**2*(2*u + 1)/5
Let w = -6 + 8. Let t be (-3)/(((-210)/(-8))/(-5)). Factor 2/7*q + 0 - t*q**w + 2/7*q**3.
2*q*(q - 1)**2