 + h + 8 - 3 + 3*l**3.
3*(l - 3)**2*(l + 1)
Factor -9/4*z**4 - 3/2*z**3 + 0 + 0*z**2 + 0*z + 15/4*z**5.
3*z**3*(z - 1)*(5*z + 2)/4
Let 5*s**4 + 12 - 20 + 2 + 50*s + 6 - 35*s**2 - 20*s**3 = 0. Calculate s.
-2, 0, 1, 5
Suppose 5*q = u - 4 - 9, 5*u - 3*q = 43. Suppose u*i = 12 + 4. Determine s so that -2/5*s**i + 4/5*s + 0 = 0.
0, 2
Let r(f) be the first derivative of 2/9*f**3 + 1/12*f**4 + 4 + 0*f + 0*f**2. Factor r(t).
t**2*(t + 2)/3
Suppose -12*o = -7*o + 45. Let j(w) = 13*w**2 + 17*w + 9. Let f(i) = -3*i**2 - 4*i - 2. Let t(x) = o*f(x) - 2*j(x). Factor t(k).
k*(k + 2)
Let k be (2/135)/(-9 + (-506)/(-55)). Let l(a) be the first derivative of 5 + 1/9*a**2 - k*a**3 - 1/18*a**4 + 0*a + 2/45*a**5. Suppose l(o) = 0. What is o?
-1, 0, 1
Let r(n) be the third derivative of n**8/4200 - n**6/450 + n**4/60 + 2*n**3/3 - 11*n**2. Let o(w) be the first derivative of r(w). Factor o(l).
2*(l - 1)**2*(l + 1)**2/5
Let y(m) = -8*m - 184. Let v be y(-23). Let j(c) be the second derivative of -1/24*c**4 + 0 + 5*c - 1/12*c**3 + v*c**2. Solve j(w) = 0 for w.
-1, 0
Suppose 0 = 2*y - 3*s + 7, 2*y + 0*y + 3*s = 23. Suppose -y = -9*u + 14. Factor 0*z + 1/2*z**u + 0 - 1/2*z**3.
-z**2*(z - 1)/2
Let p(w) be the first derivative of 0*w - 1/3*w**5 + 1/12*w**4 + 0*w**2 + 1/9*w**3 - 6 + 1/6*w**6. Determine r, given that p(r) = 0.
-1/3, 0, 1
Factor -1/2*x**4 - 2*x**2 + 2/3*x + 0 + 11/6*x**3.
-x*(x - 2)*(x - 1)*(3*x - 2)/6
Suppose 35*g - 169 = 6. Let i(z) be the second derivative of 0*z**2 - 1/20*z**g + 1/4*z**4 - 7*z + 0 - 1/3*z**3. Factor i(c).
-c*(c - 2)*(c - 1)
Factor 10 - 485*i + 252*i**2 - 517*i**2 + 462*i**2 + 278*i**2.
5*(i - 1)*(95*i - 2)
Let k = -19 - 46. Let t be 3 + 23/k - 2/(-13). Let 4/5*c + 0 + t*c**5 - 46/5*c**4 - 26/5*c**2 + 54/5*c**3 = 0. What is c?
0, 2/7, 1
Let k = 811/37776 + -1/1574. Let f(r) be the first derivative of -1/40*r**5 + 6 + 0*r**2 - k*r**6 + 1/24*r**3 + 1/32*r**4 + 0*r. Factor f(v).
-v**2*(v - 1)*(v + 1)**2/8
Let k(w) be the first derivative of 3*w**2/2 - 12*w - 5. Let s be k(5). Find b, given that 4 + 2*b**2 - 6 - 2*b**s + 2 = 0.
0, 1
Let n = 933 + -931. Factor 8/13*w**n - 2/13*w**3 - 8/13*w + 0.
-2*w*(w - 2)**2/13
Factor 2/7 - 1/7*f**2 - 1/7*f.
-(f - 1)*(f + 2)/7
Find q, given that 435/2*q + 33/2*q**2 + 39 = 0.
-13, -2/11
Let v(s) = -4*s**2 + 5*s - 6. Let u(l) = -5*l**2 + 6*l - 7. Let a(t) = t - 16. Let n be a(11). Let o(b) = n*u(b) + 6*v(b). Factor o(m).
(m - 1)*(m + 1)
Let p be 0/((-6)/6*2). Let y(q) be the second derivative of 0*q**2 + p*q**5 + 1/3*q**3 + 1/3*q**4 - 1/21*q**7 - 2/15*q**6 + 0 - 3*q. Let y(k) = 0. What is k?
-1, 0, 1
Let l(r) be the first derivative of -10 + 2/9*r**2 + 0*r + 14/27*r**3. What is f in l(f) = 0?
-2/7, 0
Let b(q) be the first derivative of -3*q**5/140 + q**4/14 + q**3/14 - 3*q**2/7 - 15*q + 14. Let l(p) be the first derivative of b(p). Factor l(s).
-3*(s - 2)*(s - 1)*(s + 1)/7
Let b(k) = -k**2 - 7*k + 10. Let u be b(-8). Suppose 3*a - 4 = u*a. Factor -90*p**4 + 91*p**a + p**2 + 3*p**3 - 5*p**3.
p**2*(p - 1)**2
Let q be 2*(6/(-4))/(-1). Let f(i) be the first derivative of 9/4*i**4 - 2*i - 7 + 17/6*i**q + 1/2*i**5 + 0*i**2. Factor f(j).
(j + 1)**2*(j + 2)*(5*j - 2)/2
Let u = -123975/13 - -9537. Factor 6/13*g - 4/13*g**3 + 4/13*g**2 - u*g**4 - 2/13*g**5 + 2/13.
-2*(g - 1)*(g + 1)**4/13
Let j be (-620)/186*6/(-16). Determine g, given that -1/8*g**2 + j*g - 25/8 = 0.
5
Let j(q) be the first derivative of q**4/3 + 8*q**3/9 - 14*q**2/3 + 16*q/3 - 23. Determine l so that j(l) = 0.
-4, 1
Let b(p) be the first derivative of -4*p**3/3 + 18*p**2 + 40*p - 366. Factor b(y).
-4*(y - 10)*(y + 1)
Let r(n) = -n**2 + 573*n - 79521. Let y(x) = -x**2 + 570*x - 79522. Let h(t) = -4*r(t) + 6*y(t). Solve h(s) = 0 for s.
282
Let n(m) be the third derivative of m**5/20 - 5*m**4/8 + 38*m**2 - 2*m. Find c, given that n(c) = 0.
0, 5
Factor -2 - 2*u + 248*u**2 - 139*u**5 - 2*u**4 + 137*u**5 + 4*u**3 - 244*u**2.
-2*(u - 1)**2*(u + 1)**3
Let -1/2*u**3 + 24 + 4*u - 5/2*u**2 = 0. Calculate u.
-4, 3
Let q(a) be the second derivative of -4*a + 1/5*a**3 - 9/5*a**2 + 1/6*a**4 + 1/50*a**5 + 0. Suppose q(z) = 0. What is z?
-3, 1
Let l = 6508 + -6506. Factor 2/3*p**l + 8/3 + 10/3*p.
2*(p + 1)*(p + 4)/3
Let b(x) = 7*x**5 + 10*x**4 - 27*x**3 - 52*x**2 + 16*x + 42. Let z(j) = -j**5 + j**3 + j**2 + 2*j - 1. Let i(u) = -b(u) - 2*z(u). Find f such that i(f) = 0.
-2, -1, 1, 2
Let y(o) = 2*o**4 + 2*o**3 - 5*o**2 + 7*o + 3. Let d(u) = u**4 - u**3 + u**2 + u + 1. Let s(l) = 6*d(l) - 2*y(l). Factor s(f).
2*f*(f - 2)**2*(f - 1)
Factor -x**2 - x**2 - 28 + 59*x - 77*x.
-2*(x + 2)*(x + 7)
Let h = -230 + 232. Let w(v) be the third derivative of 0*v**3 + 1/150*v**5 + 5*v**h + 0*v + 0 + 1/60*v**4. Factor w(t).
2*t*(t + 1)/5
What is w in -74 + 196 - 2 + 28*w - 4*w**2 = 0?
-3, 10
Determine z, given that 3/2*z**4 + 69/2*z - 12 + 15/2*z**3 - 63/2*z**2 = 0.
-8, 1
Let u(m) = 2*m**3 + 2*m**2 - 2*m + 1. Let d be (-40)/60 + (-5)/(-3). Let x be u(d). Determine w so that -4*w**2 + 2*w + 2*w**2 - 7*w**2 + x*w**2 = 0.
0, 1/3
Let k = -105 + 130. Let f = k + -25. Solve 1/2*d**3 + f + 0*d**2 - 1/4*d + 0*d**4 - 1/4*d**5 = 0 for d.
-1, 0, 1
Suppose -t + 9 + 10 = 3*d, -5*d = -5*t + 15. Let n = -3 - -8. Suppose 12*o**3 - 11*o + 6 + 6*o**2 + 3*o**n - 12*o**4 - 11*o + t*o = 0. What is o?
-1, 1, 2
Factor 1 - 15*u + 9 + 115*u**3 - 218*u**3 + 108*u**3.
5*(u - 1)**2*(u + 2)
Suppose -6*m - 2 = -2*m + p, -4*m - 10 = 5*p. Let f be (m - -4)*(-11)/(-22) - 2. Factor 2/15*l**4 - 2/15*l**2 + 0*l + 0 + f*l**3.
2*l**2*(l - 1)*(l + 1)/15
Let u(f) be the first derivative of -1/6*f**4 + 2/3*f**3 - f**2 + 5*f + 2. Let i(t) be the first derivative of u(t). Factor i(m).
-2*(m - 1)**2
Let i(f) be the third derivative of f**5/36 + 5*f**4/72 - 5*f**3/9 + 18*f**2 - 2*f. Let i(q) = 0. Calculate q.
-2, 1
Let g(s) = -16*s**2 - 90*s - 232. Let o(u) = -11*u**2 - 60*u - 155. Suppose -20 - 5 = -5*d. Let y(j) = d*g(j) - 7*o(j). Suppose y(r) = 0. What is r?
-5
Let g(y) = -y**2 - 2*y - 2. Let m be g(-3). Let a be m/(-1) + 0/5. What is x in x**5 - 2*x**a + 2*x**5 + 2*x**4 - x**4 = 0?
-1, 0
Let s(h) = h**3 + h**2 + h + 60. Let y be s(0). Let l = y - 179/3. Factor 2/3 - l*d**3 - 5/3*d + 4/3*d**2.
-(d - 2)*(d - 1)**2/3
Let q(o) be the third derivative of -o**7/504 + o**6/36 - o**5/6 - o**4/8 + 3*o**2. Let a(j) be the second derivative of q(j). Find w, given that a(w) = 0.
2
Let p(n) = n**2 - 3*n + 7. Let w be p(5). Suppose -2*b + 3*x - 5*x = -10, w = 3*b + 4*x. Find k such that k - 4*k**2 + 4*k - 6*k + 0*k**3 - 3*k**b = 0.
-1, -1/3, 0
Find r such that -2/3*r**4 + 2/3*r**5 - 4/3*r**3 + 2/3*r + 4/3*r**2 - 2/3 = 0.
-1, 1
Let y be ((-4)/6)/(4/(-3))*6. Factor -10*x**4 - 6*x**3 + 4*x**4 + 2*x**4 + x**4 - y*x**2.
-3*x**2*(x + 1)**2
Let y(u) = 2*u**2 + u. Let p be y(1). Let b = -109 + 112. Let 11*v**3 + v**3 + 13*v**4 - v**2 - b*v**p - 2*v + 5*v**5 = 0. What is v?
-1, 0, 2/5
Factor p**2 - 1/4*p**4 + 3/4*p**3 + 0*p + 0.
-p**2*(p - 4)*(p + 1)/4
Let x(q) be the second derivative of 0 - 13*q - 1/6*q**4 + 0*q**2 + 1/24*q**3. Factor x(v).
-v*(8*v - 1)/4
Let p(g) be the first derivative of 5*g**3/4 - 231*g**2/8 + 45*g/2 + 218. Factor p(i).
3*(i - 15)*(5*i - 2)/4
Let y(p) = 2*p + 5. Let g be y(-1). Suppose 0 = -4*j + 3*j + 2. Factor -5*t**2 - t - t**2 - 5*t + g*t**j.
-3*t*(t + 2)
Let q(u) = u**5 + 19*u**4 - 35*u**3. Let i(z) = 9*z**4 - 18*z**3. Let t(n) = -5*i(n) + 3*q(n). Find c such that t(c) = 0.
-5, 0, 1
Factor 2887*r**3 - 305*r**2 - 2896*r**3 - 295*r**2 + 201*r.
-3*r*(r + 67)*(3*r - 1)
Suppose -o - 3*o - 25 = -33. Factor 2/23*u**5 + 0*u**o + 0*u - 8/23*u**4 + 0 + 8/23*u**3.
2*u**3*(u - 2)**2/23
Let d(h) = 2*h**2 + 18*h + 8. Let c be d(-9). Factor 0 - 6 + f**2 - 5*f**2 + 2*f**4 + c*f + 8*f**2 - 8*f**3.
2*(f - 3)*(f - 1)**2*(f + 1)
Let w be 2*(0 + (-2)/(-600)). Let m(p) be the third derivative of -w*p**5 + 2/15*p**3 + 1/60*p**4 + 0 + 4*p**2 + 0*p. Factor m(a).
-2*(a - 2)*(a + 1)/5
Let r = 1474 - 1466. Let i(b) be the second derivative of 3/8*b**2 + 7/24*b**3 + 1/24*b**4 - 1/24*b**6 + 0 - r*b - 1/168*b**7 - 3/40*b**5. Factor i(w).
-(w - 1)*(w + 1)**3*(w + 3)/4
Let d(p) be the second derivative of p**6/30 + p**5/40 - 3*p**4/4 - p**3/3 + 10*p**2 + 8*p + 23. Factor d(r).
(r - 2)**2*(r + 2)*(2*r + 5)/2
Let h(t) = 60*t + 721. Let l be h(-12).