).
(n - 2)*(n + 2)
Let b be ((-44)/(-8))/(1/2). Let r be 2/b + (-20)/(-495). Factor 2/9*q + r*q**2 - 4/9.
2*(q - 1)*(q + 2)/9
Let u = -108197/13 - -8327. Factor -54/13*t + u + 18/13*t**2 - 2/13*t**3.
-2*(t - 3)**3/13
Let l(b) be the first derivative of 2 - 1/12*b**4 + 0*b**3 + b + 1/2*b**2. Let g(n) be the first derivative of l(n). Let g(v) = 0. Calculate v.
-1, 1
Let x(d) = d**2 - 5*d + 16. Let w(p) = p**2 - 3*p + 8. Let m(i) = -5*w(i) + 3*x(i). Determine s so that m(s) = 0.
-2, 2
Let u(m) be the second derivative of 1/15*m**4 + 4/15*m**3 + m**2 + 0 + 1/150*m**5 - m. Let s(v) be the first derivative of u(v). What is i in s(i) = 0?
-2
Factor 16*r**4 - 5*r**3 + 3*r - 25*r**4 + 2*r**3 + 9*r**2.
-3*r*(r - 1)*(r + 1)*(3*r + 1)
Factor -40*l**3 - 3*l**2 + 5 + 40*l - 2*l**2 + 0*l**2.
-5*(l - 1)*(l + 1)*(8*l + 1)
Suppose 6 - 8*r + 2*r**2 + 2*r**2 - 2*r**2 = 0. Calculate r.
1, 3
Suppose 2*p - 24 = 6. Suppose -4*r = r - p. Suppose 4 + 0 - r - 3 - 2*a**2 + 4*a = 0. What is a?
1
Suppose 2*j = -n - n - 16, 10 = -2*n. Let o(d) = -d**4 + d**3 + d - 1. Let u(h) = -h**5 - 7*h**4 + 8*h**3 + 8*h - 8. Let r(a) = j*u(a) + 24*o(a). Factor r(x).
3*x**4*(x - 1)
Let i(j) be the third derivative of -1/180*j**5 + 4*j**2 + 0*j - 1/360*j**6 + 0 + 1/18*j**3 + 1/72*j**4. Factor i(w).
-(w - 1)*(w + 1)**2/3
Let j = 37 + -37. Let y be 3/36*4 - j. Let -y*g**3 - 1/3*g + 2/3*g**2 + 0 = 0. What is g?
0, 1
Let w be (-16)/(-6)*(-6)/(-4). Factor w*h**3 + 4*h**2 - 2*h**4 - 4*h**2 - 2*h + 0 + 4*h**2 - 2*h**5 - 2.
-2*(h - 1)**2*(h + 1)**3
Suppose -20 = 5*f - f, 0 = 5*w - 4*f - 30. Let s(p) be the second derivative of 0 - 1/60*p**5 - 1/12*p**4 + p + 1/18*p**3 + 1/30*p**6 + 0*p**w. Solve s(a) = 0.
-1, 0, 1/3, 1
Let c be (0 + 1)/((-5)/(-15)). Factor -3*p - p**4 + 8*p**2 - 2*p**2 - 4*p**c + 1 + 2*p**4 - p.
(p - 1)**4
Find z such that 2/11 + 0*z - 2/11*z**2 = 0.
-1, 1
Suppose 0 = a - 0*a - 2. Factor -2*g**3 + 1 + a*g + 1 + 0*g**2 - 2*g**2.
-2*(g - 1)*(g + 1)**2
Let z(x) be the third derivative of 0*x + 1/210*x**7 - 1/120*x**6 + 0 - x**2 - 1/60*x**5 + 1/24*x**4 + 0*x**3. Factor z(u).
u*(u - 1)**2*(u + 1)
Let u = -7 - -7. Let a be u/((-1)/((-1)/(-2))). Factor a*d**3 + d**5 + 2*d**2 - 2*d**4 + d**3 + d**5 - 3*d**3.
2*d**2*(d - 1)**2*(d + 1)
Let b(z) be the first derivative of -1/3*z**3 - 1/5*z**5 + 0*z + 0*z**2 + 1/2*z**4 + 1. Let b(f) = 0. Calculate f.
0, 1
Let s(w) = -4*w**3 - 16*w**2 + 16*w - 2. Let d(c) = -c + 3. Let q be d(2). Let n(j) = -j**3 - j**2 + 1. Let i(y) = q*s(y) - 6*n(y). Factor i(t).
2*(t - 2)**2*(t - 1)
Let w = 99 + -99. Find j such that 4/9*j**2 - 2/9*j**3 + w + 0*j = 0.
0, 2
Let y(r) be the third derivative of -r**5/120 - r**4/24 + r**2. Solve y(s) = 0.
-2, 0
Let t = -14 - -16. Let v(q) be the second derivative of 1/27*q**3 + 1/54*q**4 + 0 + q + 0*q**t. Factor v(k).
2*k*(k + 1)/9
Factor 1 + 1 - 2*j**2 - 1 + 1.
-2*(j - 1)*(j + 1)
Find z such that 96/7*z**3 + 4/7*z**2 - 24/7*z + 64/7*z**4 + 4/7 = 0.
-1, 1/4
Let y(g) = g - 37. Let w be y(11). Let h = -24 - w. Factor 0*u**h - 1/2*u**4 + 0*u + u**3 + 0.
-u**3*(u - 2)/2
Let b(t) be the second derivative of t**6/15 - 3*t**5/5 + 3*t**4/2 - 4*t**3/3 - 22*t. Find o, given that b(o) = 0.
0, 1, 4
Let w(d) = d**2 + d. Let i(z) = 3*z**2 + 4*z. Let u(q) = 2*i(q) - 4*w(q). Factor u(j).
2*j*(j + 2)
Factor 0*z + 3*z**2 + 9/2*z**4 - 15/2*z**3 + 0.
3*z**2*(z - 1)*(3*z - 2)/2
Let b be (-2)/(-4)*4*9/6. Determine f, given that 3/4 + 3/4*f**4 + 9/2*f**2 - 3*f**b - 3*f = 0.
1
Let g = 2533/330 - 1/110. Let o = -15/14 - -73/42. Suppose -7/3*s**4 - o + 13/3*s + g*s**3 - 9*s**2 = 0. Calculate s.
2/7, 1
Let n(r) be the first derivative of 2*r**3/21 - 4*r**2/7 + 8*r/7 + 1. Factor n(a).
2*(a - 2)**2/7
Let b(x) = 0 + 2 + 0 - 10*x - 6*x**2. Let g(s) = -s**2 - s. Let d(i) = -2*b(i) + 14*g(i). Factor d(t).
-2*(t - 2)*(t - 1)
Suppose -h + 29*h = 0. Factor h - 2/11*n**3 + 2/11*n**2 + 4/11*n.
-2*n*(n - 2)*(n + 1)/11
Suppose -6*k + 9*k = 12. Let y(n) be the second derivative of 0 + 1/21*n**7 + 4/15*n**6 + 2*n + 0*n**2 + 2/3*n**k + 1/3*n**3 + 3/5*n**5. Factor y(z).
2*z*(z + 1)**4
Let a(j) = -2*j**2 + 6*j - 8. Let b(g) = -g**2 + g - 1. Let c(t) = -8*t + 11. Let l(v) = -4*b(v) + c(v). Let r(f) = -7*a(f) - 4*l(f). Solve r(d) = 0.
1, 2
Let h(k) = 3*k**4 - 16*k**3 + 10*k**2 + 6*k. Let y(s) = -s**3 - s**2 - s. Let l(j) = h(j) + y(j). Factor l(d).
d*(d - 5)*(d - 1)*(3*d + 1)
Let o = -361/6 + 117/2. Let u = o - -7/3. Let u*q**4 + 0*q + 0 - 1/3*q**3 - 1/3*q**2 = 0. Calculate q.
-1/2, 0, 1
Let u = 0 + -8. Let x(q) = 2*q**2 - 6*q + 5. Let g(c) = -3*c**2 + 9*c - 8. Let s(n) = u*x(n) - 5*g(n). Factor s(p).
-p*(p - 3)
Let w = -551 - -556. Factor -2*p**3 + 0*p + 5/4*p**4 + p**2 - 1/4*p**w + 0.
-p**2*(p - 2)**2*(p - 1)/4
Let b(s) be the first derivative of 1/3*s**2 + 1/15*s**5 - 1/6*s**4 + 0*s**3 - 1/3*s + 2. Solve b(p) = 0 for p.
-1, 1
Let i = 401/5 - 80. Find q such that 2/5*q - 1/5 - i*q**2 = 0.
1
Let p(h) be the first derivative of -3 - 4/3*h**3 - 1/10*h**5 - 2/3*h**4 - 2*h + 0*h**2. Let v(y) be the first derivative of p(y). What is z in v(z) = 0?
-2, 0
Let h(k) be the second derivative of k**4/14 + 5*k**3/21 + 2*k**2/7 + 10*k. Factor h(t).
2*(t + 1)*(3*t + 2)/7
Let n(t) = 2*t**2 + 5*t + 3. Let z = 19 - -4. Suppose 3*v = 4*p - z, 3*v = -p - 0 + 2. Let u(q) = q**2 + 3*q + 2. Let k(r) = p*u(r) - 3*n(r). Factor k(f).
-(f - 1)*(f + 1)
Solve 97 + 10*v - 5*v**3 + 5*v**2 - 97 = 0 for v.
-1, 0, 2
Let p(c) = c**4 + c**3 + c**2 - c. Let i(t) = 12*t**4 + 48*t**3 + 40*t**2 + 16*t - 4. Let v(a) = i(a) + 8*p(a). Factor v(s).
4*(s + 1)**3*(5*s - 1)
Suppose 8 = 3*m - 1. Suppose 2*o = -0 - 2, 4*o + 13 = m*w. Factor 0*d**2 - 3/4*d + 3/4*d**w + 0.
3*d*(d - 1)*(d + 1)/4
Let h(d) be the second derivative of -3*d**7/700 + d**6/300 + d**5/150 + d**3/3 - 2*d. Let g(l) be the second derivative of h(l). Suppose g(w) = 0. What is w?
-1/3, 0, 2/3
Let g(n) = -n - 10. Let f be g(-14). Let u(w) be the second derivative of 0 + 0*w**2 - 1/48*w**f - 1/24*w**3 - w. Find s such that u(s) = 0.
-1, 0
Suppose -3*v + 4*v - 5 = 0. Suppose -2*h = h - 9, -5*k = -5*h - v. Factor 2*i**4 - 3*i + i + 2*i**3 - 2*i**2 - i**k + i**2.
i*(i - 1)*(i + 1)*(i + 2)
Factor -2*m**4 - m - m + 6*m**3 - 4*m**3 - m**2 + 3*m**2.
-2*m*(m - 1)**2*(m + 1)
Factor 25 + k**2 - 2*k + 2*k - 10*k.
(k - 5)**2
Let z(n) = -n**3 + 2*n**2 + 4*n + 1. Let r be z(3). Suppose 3*a = r*a - 3. Suppose -a*v + 1/2 + 9/2*v**2 = 0. Calculate v.
1/3
Factor -1/2*c**2 + 0*c + 2/3 + 1/6*c**3.
(c - 2)**2*(c + 1)/6
Let q be 0*((-1)/(-2) - 0). Let i(x) be the third derivative of 2*x**2 + q + 1/240*x**5 + 0*x**3 + 0*x - 1/96*x**4. Find o, given that i(o) = 0.
0, 1
Solve 3/4*b**5 + 3/2*b**3 + 9/4*b**4 + 0*b**2 + 0 + 0*b = 0 for b.
-2, -1, 0
Let o be 0/(-3) - 2/6*0. Let n(l) be the second derivative of o*l**2 + 0 + 0*l**4 - 1/9*l**3 + l + 1/30*l**5. Find b such that n(b) = 0.
-1, 0, 1
Suppose 6*y = 7*y - 5. Let o(s) = -s**2 + 6*s - 3. Let a be o(y). Solve -2/3*w**a - 4/3*w - 2/3 = 0.
-1
Let -4 + 2/3*v**3 + 0*v**2 - 14/3*v = 0. Calculate v.
-2, -1, 3
Let q(b) be the third derivative of b**7/140 + b**6/15 + 29*b**5/120 + 5*b**4/12 + b**3/3 - 4*b**2. Let q(c) = 0. Calculate c.
-2, -1, -1/3
Let y(s) be the second derivative of -s**6/20 - 31*s**5/40 - 37*s**4/24 - 3*s**3/4 + 60*s. Factor y(j).
-j*(j + 1)*(j + 9)*(3*j + 1)/2
Let x be (5/(-2))/(3/(-6)). Let r**3 - 4*r - 2*r**2 + x*r - 2*r + 2 = 0. What is r?
-1, 1, 2
Let w(p) be the third derivative of 0*p**3 - 5*p**2 - 1/105*p**7 + 0*p**6 + 1/30*p**5 + 0 + 0*p**4 + 0*p. Solve w(d) = 0 for d.
-1, 0, 1
Let j(n) be the third derivative of -n**5/360 + n**4/144 + n**3/6 + 10*n**2. Solve j(c) = 0.
-2, 3
Let u(n) be the first derivative of -3*n**4/4 + 3*n**3 + 3*n**2/2 - 9*n + 8. Suppose u(a) = 0. Calculate a.
-1, 1, 3
Factor 0 - 1/3*i**2 + 1/3*i**3 + 0*i.
i**2*(i - 1)/3
Let w(t) be the first derivative of 7*t**3 - 3/2*t**2 + 0*t - 1 - 2*t**6 - 45/4*t**4 + 39/5*t**5. Factor w(x).
-3*x*(x - 1)**3*(4*x - 1)
Let a(s) = s**3 + 8*s**2 + 7*s + 3. Let n be a(-7). Let 2 + 4*m - 3*m + 0 + m - 2*m**n - 2*m**2 = 0. What is m?
-1, 1
Let s(f) = 2*f**5 + f**4 - 3*f**3 - 5*f**2 - 5*f + 5. Let m(k) = 3*k**5 - 3*k**3 - 6*k**2 - 6*k + 6. Let x(o) = 5*m(o) - 6*s(o). Let x(g) = 0. Calculate g.
0, 1
Let n = -2 + 6. Let l(k) = -2*k**4 - 4*k**3 - 8*k**2