+ 5*g**4/144 + 192*g**2. Factor r(x).
-x*(x - 1)*(x + 1)*(x + 5)/6
Factor 3/8*h**3 + 3*h + 15/4*h**2 + 0 - 3/8*h**4.
-3*h*(h - 4)*(h + 1)*(h + 2)/8
Factor -17136*x**2 + 1995*x + 111 - 5771*x - 367 + 3317*x**3 + 37044*x**4 - 9087*x**3 - 10106*x**3.
4*(x - 1)*(21*x + 4)**3
Let b = 5 - 2. Suppose -28*h**2 - 36*h - 35*h**2 + 7*h**4 + 45*h + 6 - 34*h**4 + 75*h**b = 0. What is h?
-2/9, 1
What is q in -15 - 13/2*q**2 + 43/2*q = 0?
1, 30/13
Suppose 0*l**2 - l**2 + 13 - l**2 + 352*l - 5 - 346*l = 0. What is l?
-1, 4
Let m be 450/(-1500)*(-2)/1. Factor -3*y**3 + m*y**4 - 21/5*y + 27/5*y**2 + 6/5.
3*(y - 2)*(y - 1)**3/5
Let w = -92 - -95. Determine h so that -8 - 8*h - h**2 - 9*h - w*h - 7*h**2 = 0.
-2, -1/2
Let z be -4*((-2)/4 - (-3)/(-4)). Suppose 2*f - 10 = j, 0 = -3*j + z*j + 4*f - 20. Factor 0 + 1/3*y**4 + 0*y**3 + j*y + 0*y**2.
y**4/3
Let i(a) = a**3 - 7*a**2 - a + 17. Suppose 6*k - 8*k + 14 = 0. Let y be i(k). Solve 10 + 0 - 7*l**3 + y*l - 3*l**3 - 5*l**4 - 5 = 0.
-1, 1
Let d(y) = -9*y**2 - 24*y + 25. Let w(r) = -2*r**2 + r - 1. Let k(j) = d(j) - 4*w(j). Factor k(s).
-(s - 1)*(s + 29)
Let m(o) be the first derivative of -o**6/6 + o**5/5 + o**4/4 - o**3/3 + 25. Let m(g) = 0. Calculate g.
-1, 0, 1
Let w(q) = q**2 - 4. Let n be w(3). Let y(t) = -t**3 + 5*t**2 - t + 5. Let c be y(n). Factor -1/5*l**3 + 1/5*l**2 - 1/5*l**4 + c + 1/5*l.
-l*(l - 1)*(l + 1)**2/5
Suppose 6 = -7*t + 5*t. Let i be (t/4)/((-3)/20). Solve 15*j**4 - 12*j**3 - 11*j**4 - i*j**2 + 5*j**2 = 0.
0, 3
Suppose 17 + 16 = 11*r. Let x(j) be the first derivative of -3/2*j**2 + 3/4*j**4 - 6*j + 2*j**r - 1. Let x(h) = 0. Calculate h.
-2, -1, 1
Let n(l) be the second derivative of -2/13*l**2 + 1/39*l**3 + 0 + 10*l + 1/78*l**4. Let n(h) = 0. Calculate h.
-2, 1
Let j(z) be the third derivative of -2*z**7/105 + z**6/2 - 13*z**5/5 + 37*z**4/6 - 8*z**3 + 62*z**2 - 1. Factor j(v).
-4*(v - 12)*(v - 1)**3
Let v be 12/(-1*(-14)/7). Let x(y) be the second derivative of -2/15*y**v - 7/3*y**4 + 0*y**2 + 0 + y**5 + 2*y**3 + 2*y. Factor x(d).
-4*d*(d - 3)*(d - 1)**2
Suppose -5*o = -4*g + 16, -3*g - 5*o + 12 = -0*g. Let z = 35 - 33. Factor z + 109*a - 109*a + 2*a**4 - g*a**2.
2*(a - 1)**2*(a + 1)**2
Suppose -8*c = -5*c + 18. Let h(f) = f**2 + 8*f + 12. Let o be h(c). Suppose 3/5*b**2 - 6/5*b + 57/5*b**4 + 21/5*b**5 + o + 9*b**3 = 0. What is b?
-1, 0, 2/7
Suppose -d = -2*u - 2*d, 3*d = 3*u. Suppose 2*x - 2 = -3*n - 6, -5*n + x + 2 = u. Solve -1/3*h**4 - 1/3 + 2/3*h**2 + 0*h**3 + n*h = 0.
-1, 1
Let i = -205/1387 - -322135/1387. Let b = i + -232. Factor -8/19 + 8/19*v - b*v**2.
-2*(v - 2)**2/19
Let p be ((-178)/9)/((-7)/(-21)). Let k = p - -60. Find d, given that 0 + 0*d - k*d**2 = 0.
0
Let h(n) be the third derivative of -1/90*n**6 + 0*n - n**2 - 2/15*n**5 + 0 - 2/3*n**4 - 2/3*n**3. Let p(a) be the first derivative of h(a). Factor p(b).
-4*(b + 2)**2
Solve 0 + 0*g**3 + 50*g**2 - 500/3*g - 2/3*g**4 = 0.
-10, 0, 5
Let l(b) be the second derivative of 1/45*b**6 + 0*b**2 + 1/18*b**4 + 0*b**3 + 0 + 12*b + 1/15*b**5. Suppose l(a) = 0. Calculate a.
-1, 0
Factor -8/3 - 1/3*l**2 - 1/3*l**3 + 10/3*l.
-(l - 2)*(l - 1)*(l + 4)/3
Factor 16/9*c - 2/9*c**2 - 2/9*c**3 + 8/3.
-2*(c - 3)*(c + 2)**2/9
Let n(d) be the second derivative of 2*d**6/5 - 113*d**5/70 + 26*d**4/21 + 4*d**3/7 + d + 329. Solve n(a) = 0 for a.
-1/6, 0, 6/7, 2
Let p(s) = s**3 + 6*s**2 + 7*s + 4. Let o be p(-4). Factor 4*r**2 + 1 - o*r - 18 + 5.
4*(r - 3)*(r + 1)
Let n = -217 - -871/4. Let r = 2 - 2. Factor -n*b**2 + 3/4*b**3 + r - 3/2*b.
3*b*(b - 2)*(b + 1)/4
Let x(u) be the third derivative of 0*u + 0 - 1/20*u**5 - 1/2*u**4 - 39*u**2 - 2*u**3. Determine k so that x(k) = 0.
-2
Factor 34/5*w + 1 - 39/5*w**2.
-(w - 1)*(39*w + 5)/5
Factor 21*u**2 - 57*u**2 + 144*u - 13 - 14 + 27 - 4*u**3.
-4*u*(u - 3)*(u + 12)
Let q(b) be the second derivative of -b**7/14 - b**6/10 + 9*b**5/10 + 7*b**4/2 + 11*b**3/2 + 9*b**2/2 + 43*b. Factor q(d).
-3*(d - 3)*(d + 1)**4
Suppose 37 + 53 = 6*k. Let -k - 19*c + 5*c**2 + 22*c - 13*c = 0. What is c?
-1, 3
Suppose -64 + 4 = -10*j. Let a(l) = -l**3 - 7*l**2 - 7*l - 1. Let u be a(-6). Factor -j + 19*x - u + 13*x - 5 + 20*x**2.
4*(x + 2)*(5*x - 2)
Factor 17*l**3 - 4*l - 214*l**4 - 213*l**4 + 428*l**4 - 56 + 42*l**2.
(l - 1)*(l + 2)**2*(l + 14)
Let f(r) be the second derivative of r**4/12 - r**3 + 9*r**2/2 - 8*r - 5. Factor f(m).
(m - 3)**2
Let n(u) be the first derivative of 1/5*u**2 - 1/10*u**4 + 13 + 0*u + 0*u**3. Factor n(t).
-2*t*(t - 1)*(t + 1)/5
Suppose 5*d - 5*g = 50, -3*d - 2*g = 2*d - 64. Suppose -7*l**2 + 25*l**2 + d + 14*l - 16*l**2 = 0. Calculate l.
-6, -1
Let h = 9672508/207 + -46727. Let p = h - -3/23. Find w such that 0 + p*w**2 - 2/9*w = 0.
0, 1
Let m be ((-1)/(-4))/((-1)/(-12)). Suppose 2*n + 2*n = 40. Factor m*x + n*x + 3*x**2 + 0*x**2 - 10*x.
3*x*(x + 1)
Factor -47 - 1/5*o**2 + 236/5*o.
-(o - 235)*(o - 1)/5
Let d(q) be the first derivative of -7/2*q**4 - 44/9*q**3 + 3*q**5 - 2*q**2 - 1/3*q + 9 + 3*q**6. Find v, given that d(v) = 0.
-1, -1/3, -1/6, 1
Let v = 2 - 0. Factor 11*n**2 + n**5 - 1 - 16*n**2 + 3*n - 2*n**3 - 2*n**5 + 3*n**4 + 3*n**v.
-(n - 1)**4*(n + 1)
Let z(c) be the first derivative of 1/12*c**3 + 25*c - 46 + 5/2*c**2. Factor z(u).
(u + 10)**2/4
Let u(k) = 11*k**2 + 138*k - 5619. Let j(h) = 9*h**2 + 140*h - 5620. Let l(a) = -6*j(a) + 5*u(a). Factor l(w).
(w - 75)**2
Let r(m) be the first derivative of 7*m**6/24 + m**5/2 + 3*m**4/16 + 38. Factor r(g).
g**3*(g + 1)*(7*g + 3)/4
Determine u so that -2*u**2 - 4*u + 3*u**3 + 18 + 2*u - 4*u**2 - 6*u**2 + 5*u = 0.
-1, 2, 3
Suppose 11*y = 689 - 645. Let i(g) be the first derivative of 2/25*g**5 + 2/5*g**3 - 1 + 0*g - 1/5*g**2 - 3/10*g**y. Let i(c) = 0. What is c?
0, 1
Factor -126 - 37*o**3 - 381*o - 108*o**3 - 4*o**4 + o**4 + 13*o**3 - 387*o**2 - 3*o**3.
-3*(o + 1)**3*(o + 42)
Factor 270/7*c**4 + 48/7*c + 468/7*c**3 + 264/7*c**2 + 0.
6*c*(3*c + 2)**2*(5*c + 2)/7
Let x(s) be the second derivative of s**6/135 + s**5/45 - s**4/54 - 2*s**3/27 - 2*s + 2. Determine f so that x(f) = 0.
-2, -1, 0, 1
Factor -1526*b + 23*b**3 + 102*b**3 + 1606*b + 520*b**2.
5*b*(b + 4)*(25*b + 4)
Let f(c) be the first derivative of c**4/2 + 16*c**3/9 - 5*c**2 + 8*c/3 - 57. Suppose f(b) = 0. Calculate b.
-4, 1/3, 1
Factor -7*k + 104*k**2 - 4 + k**3 + 97*k**2 - 203*k**2.
(k - 4)*(k + 1)**2
Let m be (-8778)/1330 + (0 - -7). Find f such that 2*f**4 - 6/5 - 14/5*f + 12/5*f**3 + m*f**5 - 4/5*f**2 = 0.
-3, -1, 1
Let b(l) be the second derivative of -l**5/4 + 115*l**4/12 - 215*l**3/6 + 105*l**2/2 + 236*l - 2. Find v, given that b(v) = 0.
1, 21
Let s(r) be the second derivative of -3*r + 0*r**2 - 5/4*r**5 - 1/2*r**6 + 10/21*r**7 + 5/4*r**4 + 5/6*r**3 + 1. Let s(n) = 0. Calculate n.
-1, -1/4, 0, 1
Let b(g) be the first derivative of -5*g**6/18 + 23*g**5/3 - 815*g**4/12 + 1805*g**3/9 - 800*g**2/3 + 500*g/3 + 67. Let b(q) = 0. Calculate q.
1, 10
Suppose 7*q - 32 = -g, -4*g + 6 = -10. Let f(y) be the second derivative of -9*y + 1/6*y**q + 0 - y**3 + 3/10*y**5 + 1/15*y**6 - 2*y**2. Factor f(t).
2*(t - 1)*(t + 1)**2*(t + 2)
Let g(x) be the third derivative of 3*x**7/385 + 61*x**6/660 - 23*x**5/330 - 61*x**4/132 + 14*x**3/33 - 766*x**2. Let g(f) = 0. What is f?
-7, -1, 2/9, 1
Suppose 17*n + 251 = 285. Factor 0 + 3/5*w**n - 12/5*w.
3*w*(w - 4)/5
Factor 3/8*z**3 - 15/8 + 33/8*z - 21/8*z**2.
3*(z - 5)*(z - 1)**2/8
Suppose -3*j - 5 = -20. Solve 5*k + 12 + 5*k - j*k**2 + 14 + 14 = 0 for k.
-2, 4
Let t = 10 + -4. Factor 6*a**2 - 2*a**4 - t + 4 + 6*a**3 - 3*a - a**4 - 1 - 3*a**5.
-3*(a - 1)**2*(a + 1)**3
Let b(i) be the third derivative of -i**6/60 + i**5/6 - 2*i**4/3 + 4*i**3/3 + 134*i**2. Factor b(z).
-2*(z - 2)**2*(z - 1)
Let x(l) = 4*l**3 + 10*l**2 - 35*l + 21. Let g(j) = -2*j**3 - 6*j**2 + 18*j - 10. Let m(v) = -11*g(v) - 6*x(v). Determine z so that m(z) = 0.
-2, 1, 4
Let v(f) = -f**4 + f**3 + f**2. Let y(p) = -9*p**4 - 42*p**3 - 3*p**2 + 36*p + 12. Let q(t) = 6*v(t) + y(t). Let q(m) = 0. Calculate m.
-2, -1, -2/5, 1
Let w = -22 - -32. Factor 5 - w*s**2 - 2*s**3 + 5 - 3*s**3 + 0*s + 5*s.
-5*(s - 1)*(s + 1)*(s + 2)
Let n(k) be the second derivative of k**4/21 + 100*k**3/21 + 1250*k**2/7 + 81*k. Factor n(o).
4*(o + 25)**2/7
Let v = 3 + 9. Let f = v - 9. Let 3*l**3 - l**4 - 3*l**3 + 5*l**f - 4*l**3 + 2*l**2