*(n + 2)**2
Let m(p) = 6*p**4 + 12*p**3 + 5*p**2 - 23*p + 11. Let f(g) = 2*g**4 + 4*g**3 + 2*g**2 - 8*g + 4. Let k(b) = 11*f(b) - 4*m(b). Factor k(v).
-2*v*(v - 1)*(v + 1)*(v + 2)
Suppose 4*q + 3 = q. Let z(x) = 5*x**3 + 3*x**2 - 3*x - 1. Let i(f) = f**3 + f**2. Let v(k) = q*z(k) + 6*i(k). Determine a, given that v(a) = 0.
-1
Let n be (1/2 + -1)*(2 + -2). Let w(q) be the second derivative of -2*q + 1/15*q**3 - 1/30*q**4 + n*q**2 + 0. Factor w(h).
-2*h*(h - 1)/5
Let u be (4 + -5)*-1 + -1. Suppose -1/2*b - 1/4*b**2 + u = 0. Calculate b.
-2, 0
Let z(v) = -v**4 + v. Let j(q) = -12*q**4 + 14*q**3 - 10*q**2 + 8*q. Let l(w) = j(w) - 6*z(w). Find u, given that l(u) = 0.
0, 1/3, 1
Let d = -13 - -18. Suppose d - 1 - 1 + 3 - 9*y + 3*y**2 = 0. What is y?
1, 2
Suppose 2*c + v = 6, 4*c = 2*v + 9 + 19. Factor 0*g**c - g**5 - 6*g**4 + 3*g**4 - 2*g**5.
-3*g**4*(g + 1)
Let c(d) = -2*d**4 - 7*d**3 + 3*d**2 - 4*d + 4. Let w(l) = -5*l**4 - 20*l**3 + 10*l**2 - 12*l + 11. Let k(j) = 8*c(j) - 3*w(j). Find u such that k(u) = 0.
1
Determine u so that -6*u**2 + 3*u**3 - 3*u**3 - 3*u + 3*u**5 + 8*u**4 - 2*u**4 = 0.
-1, 0, 1
Let p = 2 - 2. Let n be (p + 0)*2/(-4). Let 1/4*y**3 + n + 0*y - 1/4*y**2 - 1/4*y**5 + 1/4*y**4 = 0. What is y?
-1, 0, 1
Let g(q) = 2*q**2 - 13*q + 3. Let v(a) = 15*a**2 - 105*a + 25. Let y(h) = 25*g(h) - 3*v(h). Let y(j) = 0. Calculate j.
0, 2
Let w(c) = 10*c**4 - 6*c**3 + 3*c**2 + 7. Let p(j) = -9*j**4 + 6*j**3 - 3*j**2 - 6. Let y(s) = 7*p(s) + 6*w(s). Factor y(t).
-3*t**2*(t - 1)**2
Let h(n) = -5*n**4 - n**3 - 5*n**2 - 7*n - 2. Let y(c) = -4*c**4 - 4*c**2 - 6*c - 1. Let q(r) = -3*h(r) + 4*y(r). Suppose q(i) = 0. What is i?
-1, 1, 2
Let j be (-2)/12*(-198)/165. Suppose -j - 1/5*p + 1/5*p**3 + 1/5*p**2 = 0. What is p?
-1, 1
Factor 1/5*y**3 - 1/5*y**2 + 0*y + 0 + 1/5*y**4 - 1/5*y**5.
-y**2*(y - 1)**2*(y + 1)/5
Suppose -3*x = 2*x + o - 14, -4 = 4*o. Let v be x/14 + (-6)/(-21). Determine b so that 0 + 3/2*b**4 - 1/2*b**5 + 0*b + v*b**2 - 3/2*b**3 = 0.
0, 1
Suppose 0*r - 3*r = -2*o + 18, 2*o = 2*r + 14. Factor -4*b**5 - 9*b**4 + 2*b**5 - 2*b**5 + 3*b**4 - 2*b**o.
-2*b**3*(b + 1)*(2*b + 1)
Let m(p) = p**3 + 5*p**2 - 6*p + 4. Let j be m(-6). Factor -j*h**3 + h**3 - 3*h**4 - 2*h**5 - 3*h**3 - 3*h**4 - 2*h**2.
-2*h**2*(h + 1)**3
Let x be (-7)/(84/3) - (-30)/56. What is p in -x*p**4 - 2/7 - 8/7*p**3 - 8/7*p - 12/7*p**2 = 0?
-1
Let n(k) be the second derivative of 5*k**6/36 + 3*k**5/8 + k**4/3 + k**3/9 - 7*k. Factor n(z).
z*(z + 1)*(5*z + 2)**2/6
Let b(y) be the second derivative of -y**6/15 + 3*y**5/10 - 4*y**3/3 - 11*y. Determine x, given that b(x) = 0.
-1, 0, 2
Let a(z) be the second derivative of z**4/108 + z**3/54 - 26*z. Factor a(w).
w*(w + 1)/9
Let l(r) be the third derivative of 0*r**3 + 1/30*r**7 + 11/60*r**5 - 2/15*r**6 + 0 + 0*r + 4*r**2 - 1/12*r**4. Factor l(j).
j*(j - 1)**2*(7*j - 2)
Let -2/7*p**3 + 2/7 + 2/7*p - 2/7*p**2 = 0. Calculate p.
-1, 1
Let o(c) be the first derivative of c**4/12 - c**3/3 + c**2/2 - c/3 - 3. Determine s so that o(s) = 0.
1
Factor -4/9 - 8/9*r - 4/9*r**2.
-4*(r + 1)**2/9
Let b(t) be the third derivative of 7*t**5/12 - 25*t**4/24 - 5*t**3/3 + 9*t**2. Factor b(c).
5*(c - 1)*(7*c + 2)
Factor -2/3 - n - 1/3*n**2.
-(n + 1)*(n + 2)/3
Let d(o) be the first derivative of o**5/80 + o**4/48 - 2*o + 1. Let l(n) be the first derivative of d(n). Let l(p) = 0. What is p?
-1, 0
Let q(u) be the second derivative of -u**4/16 + 3*u**3/2 + 39*u**2/8 - 2*u. Factor q(p).
-3*(p - 13)*(p + 1)/4
Let m be (-2)/3 - (256/(-24) + 7). Factor 2/9*v**m + 0 - 8/9*v**2 + 8/9*v.
2*v*(v - 2)**2/9
Let k(o) = -o**4 + o**3 + o**2 + o - 1. Let z be (-4 - -3 - 1)/(-2). Let i(v) = 6*v**4 - 2*v**3 - 12*v**2 - 8*v + 8. Let b(l) = z*i(l) + 8*k(l). Factor b(g).
-2*g**2*(g - 2)*(g - 1)
Let w(i) be the third derivative of i**5/90 - i**4/18 + i**3/9 + 4*i**2. What is b in w(b) = 0?
1
Let j(u) be the first derivative of -u**3/5 - 17*u**2/10 + 6*u/5 - 37. Determine h, given that j(h) = 0.
-6, 1/3
Suppose -10*t + 2 = -12*t. Let a be t/2 - (-14)/20. Factor 1/5*g**2 - 1/5*g**3 + 0*g + 1/5*g**5 - a*g**4 + 0.
g**2*(g - 1)**2*(g + 1)/5
Suppose -4*v - 31 = 2*l - 5*l, l + 27 = -4*v. Let r = 9 + v. Factor -2*j**3 - 1/2 + r*j + 1/2*j**2.
-(j - 1)*(j + 1)*(4*j - 1)/2
Let j = -5 - -9. Let r(n) = 14*n**5 - 62*n**4 + 92*n**3 - 60*n**2 + 14*n + 2. Let b(q) = q**5 - q**4 + q - 1. Let g(i) = j*b(i) + r(i). Solve g(t) = 0 for t.
1/3, 1
Determine d, given that 0 + 6/5*d + 1/5*d**4 - 2/5*d**3 - d**2 = 0.
-2, 0, 1, 3
Let v = 0 + 2. Suppose 3*t + 2*m - 14 = 0, -t + 5*t + 8 = 4*m. Suppose -v*z**t + 3 + 1 + 2 - 4 = 0. What is z?
-1, 1
Let l(z) be the first derivative of 1/12*z**3 + 1/4*z**2 - 2 - 1/8*z**4 - 1/20*z**5 + 0*z. Determine r so that l(r) = 0.
-2, -1, 0, 1
Let c be (5 - 2) + 0 + -1. Let h(p) be the third derivative of -1/12*p**4 + 0 - 2*p**c + 0*p**3 - 1/15*p**5 + 0*p. Let h(v) = 0. What is v?
-1/2, 0
Let k(o) be the first derivative of -2 - 1/21*o**3 - 1/42*o**4 + 1/70*o**5 + 2*o + 1/7*o**2. Let w(p) be the first derivative of k(p). Factor w(m).
2*(m - 1)**2*(m + 1)/7
Let b be (-3)/3*(-3 + 1). Let u be ((-8)/(-13 + 5))/3. Factor -1/3 + 0*x + u*x**b.
(x - 1)*(x + 1)/3
Let x = 212/63 + 4/63. Find m such that -26/7*m**2 + x*m - 2/7*m**4 - 8/7 + 12/7*m**3 = 0.
1, 2
Suppose -g - 5 = -0*g, -5*g - 45 = -4*k. Solve -26/3*w**4 - 6*w**3 + 2/3*w**2 + 4/3*w + 0 - 10/3*w**k = 0 for w.
-1, 0, 2/5
Let y(g) = 6*g**2 - 14. Let x(r) = -r**2 + 3. Let c = -19 + 16. Let v(l) = c*y(l) - 14*x(l). Find a such that v(a) = 0.
0
Let v be ((-63)/(-60))/(-7)*(-10)/12. Let m(d) be the first derivative of -1/2*d**2 + 2 - v*d**4 + 1/2*d**3 + 0*d. Factor m(f).
-f*(f - 2)*(f - 1)/2
Let j(p) be the third derivative of p**8/168 - p**7/105 - p**6/60 + p**5/30 + 16*p**2. Factor j(x).
2*x**2*(x - 1)**2*(x + 1)
Let q = 8 - 0. Suppose q*o - 6*o = 10. Factor -69/7*p**3 + 10*p**4 - 4/7*p - 25/7*p**o + 4*p**2 + 0.
-p*(p - 1)**2*(5*p - 2)**2/7
Let m(x) be the third derivative of 5*x**8/168 - x**7/35 - x**6/30 - 16*x**2. Suppose m(w) = 0. What is w?
-2/5, 0, 1
Let d(f) = -5*f**4 + f**3 + f**2 - f - 4. Let n(g) = 6*g**4 - g**3 - g**2 + g + 5. Let k(m) = 5*d(m) + 4*n(m). Determine p so that k(p) = 0.
-1, 0, 1
Let m(a) be the second derivative of -3*a**5/80 - a**4/16 + 5*a**3/8 - 9*a**2/8 - 44*a. Factor m(z).
-3*(z - 1)**2*(z + 3)/4
Let n(u) be the first derivative of -u**7/14 + 9*u**5/20 - u**4/2 + 2*u - 1. Let m(j) be the first derivative of n(j). Factor m(d).
-3*d**2*(d - 1)**2*(d + 2)
Let j be -9 + -4*21/(-8). Determine h, given that j*h - 11/2*h**2 - 3*h**3 + 1 = 0.
-2, -1/3, 1/2
Let v(w) = 4*w**3 - 8*w**2 - 8*w - 6. Let z(p) = 0 - 7*p**2 - 7*p - 4 + 4*p**3 - 1. Let d(x) = -5*v(x) + 6*z(x). Factor d(a).
2*a*(a - 1)*(2*a + 1)
Let j be 1 + -3 + (-15)/(-3). Suppose 1 + 0*p**j + p**3 + 3*p - 2*p**2 + 5*p**2 + 0*p**2 = 0. What is p?
-1
Let d = 8 - 6. Suppose 0 = -5*f + 13 + d. Determine i so that 0*i**2 + 1/2*i**4 + 1/2*i**5 + 0 + 0*i**f + 0*i = 0.
-1, 0
Let t(r) be the second derivative of -r**5/60 - r**4/24 - 9*r**2/2 + 10*r. Let w(a) be the first derivative of t(a). Factor w(u).
-u*(u + 1)
Let q(x) be the second derivative of 0*x**3 + 2*x + 0 + 1/30*x**6 - 1/10*x**5 + 0*x**2 + 1/42*x**7 + 0*x**4. Factor q(s).
s**3*(s - 1)*(s + 2)
Let o(z) = -3*z - 3. Let v be o(-2). Let h(r) be the first derivative of 2/7*r**2 + 2/7*r + 2/21*r**v - 1. Let h(s) = 0. What is s?
-1
Let a(o) be the first derivative of o**5/10 + o**4/8 - o**3/6 - o**2/4 - 3. Factor a(d).
d*(d - 1)*(d + 1)**2/2
Let s(o) = o**2 + 8*o - 7. Let i be s(-9). Factor -1/4*n**4 + 0 + 0*n + 0*n**i - 1/4*n**3.
-n**3*(n + 1)/4
Suppose 3*n = 9 - 3. Suppose n*l + 2*x = 5 + 3, 0 = -2*l + x - 7. Let f(p) = p**2 - 1. Let r(y) = 15*y**2 - 9*y - 15. Let s(q) = l*r(q) + 9*f(q). Factor s(h).
-3*(h - 2)*(2*h + 1)
Let c be 2/(-90)*(-8)/56. Let k(m) be the third derivative of 0 + 0*m**3 - 1/1512*m**8 - 1/270*m**5 + 3*m**2 + 0*m**4 - 1/180*m**6 + 0*m - c*m**7. Factor k(h).
-2*h**2*(h + 1)**3/9
Let v = -101 + 101. Factor -1/4*q + 0*q**3 - 1/2*q**4 + 1/2*q**2 + 1/4*q**5 + v.
q*(q - 1)**3*(q + 1)/4
Determine w, given that -4/7 - 2/7*w**2 + 6/7*w = 0.
1, 2
Let d(o) be the first derivative of -o**4/4 - 3*o**3 - 27*o**2/2 + 4*o + 4. Let r(g) be the first derivative of d(g). Factor r(w).
-3*(w 