- 33*h**2 - 163*h/5 - 54/5.
-(h + 1)**3*(h + 54)/5
Factor -l**2/2 - 5*l - 25/2.
-(l + 5)**2/2
Let -v**5/10 - v**4/5 + 2*v**3/5 + v**2/5 - 3*v/10 = 0. Calculate v.
-3, -1, 0, 1
Find n such that -4*n**4/7 + 72*n**3/7 + 76*n**2/7 = 0.
-1, 0, 19
Factor -5*l**3 + 1245*l**2 - 79335*l + 226935.
-5*(l - 123)**2*(l - 3)
Solve -3*h**3/8 - 465*h**2/8 - 2223*h + 4563/2 = 0 for h.
-78, 1
Factor a**3/6 - 37*a**2/2 + 55*a/3.
a*(a - 110)*(a - 1)/6
Factor 2*f**2/5 - 46*f/5 - 48/5.
2*(f - 24)*(f + 1)/5
Factor 2*x**4 + 258*x**3 + 254*x**2 - 258*x - 256.
2*(x - 1)*(x + 1)**2*(x + 128)
Factor -7*w**4 + 240*w**3 - 936*w**2 + 1088*w - 240.
-(w - 30)*(w - 2)**2*(7*w - 2)
Factor 33*m**4 - 60*m**3 + 21*m**2 + 6*m.
3*m*(m - 1)**2*(11*m + 2)
Find s, given that -4*s**4 + 20*s**3 - 32*s**2 + 16*s = 0.
0, 1, 2
Factor -4*t**2 + 16*t - 12.
-4*(t - 3)*(t - 1)
Factor z**2 - 130*z + 129.
(z - 129)*(z - 1)
Factor -k**2 + 274*k - 18769.
-(k - 137)**2
Suppose -3*x**5/2 - 37*x**4/2 - 147*x**3/2 - 195*x**2/2 - 25*x = 0. What is x?
-5, -2, -1/3, 0
Solve -2*p**2/9 + 2860*p/3 - 1022450 = 0 for p.
2145
Factor -5*k**2 + 1480*k + 7525.
-5*(k - 301)*(k + 5)
Suppose -2*t**3/13 - 16*t**2/13 + 40*t/13 = 0. Calculate t.
-10, 0, 2
Determine w so that -3*w**4 + 39*w**3 - 63*w**2 - 39*w + 66 = 0.
-1, 1, 2, 11
Suppose -5*p**3 - 1255*p**2 - 2490*p = 0. What is p?
-249, -2, 0
Suppose 3*s**2/4 + 2145*s/4 - 537 = 0. Calculate s.
-716, 1
Determine k, given that -64*k**5/5 - 80*k**4 - 609*k**3/5 - 134*k**2/5 - 8*k/5 = 0.
-4, -2, -1/8, 0
Let 5*j**4 - 170*j**3 - 15*j**2 + 520*j - 340 = 0. What is j?
-2, 1, 34
Factor -x**2/2 - 11*x/2 + 40.
-(x - 5)*(x + 16)/2
Factor -b**3/4 + 4*b**2 + 39*b/4 - 27/2.
-(b - 18)*(b - 1)*(b + 3)/4
Factor -i**2/5 - 9*i/5 - 8/5.
-(i + 1)*(i + 8)/5
Factor -4*d**3 - 64*d**2 - 156*d.
-4*d*(d + 3)*(d + 13)
Find a such that 2*a**2/11 + 36*a/11 + 90/11 = 0.
-15, -3
Factor 2*m**5 + 20*m**4 + 34*m**3 + 16*m**2.
2*m**2*(m + 1)**2*(m + 8)
Suppose 3*k**5/4 + 15*k**4/2 - 45*k**3/4 - 30*k**2 + 33*k = 0. What is k?
-11, -2, 0, 1, 2
Factor 5*c**3/6 - 295*c**2/6 - 800*c/3.
5*c*(c - 64)*(c + 5)/6
Factor -2*o**4/11 + 84*o**3/11 - 794*o**2/11 - 168*o - 88.
-2*(o - 22)**2*(o + 1)**2/11
Suppose 5*g**4/3 + 47*g**3/9 + 5*g**2/9 - g/3 = 0. What is g?
-3, -1/3, 0, 1/5
Determine g, given that g**4 + 4*g**3 - 17*g**2 - 24*g + 36 = 0.
-6, -2, 1, 3
Factor 11*r**2/2 + 91*r - 85/2.
(r + 17)*(11*r - 5)/2
What is v in v**5 + 3*v**4 + 2*v**3 - 2*v**2 - 3*v - 1 = 0?
-1, 1
Factor b**2/2 + 78*b + 730.
(b + 10)*(b + 146)/2
Suppose d**2/2 + 19*d/2 + 39 = 0. Calculate d.
-13, -6
Factor o**4 - 77*o**3 - 165*o**2 + 557*o - 316.
(o - 79)*(o - 1)**2*(o + 4)
Factor 3*o**2 - 231*o + 1080.
3*(o - 72)*(o - 5)
Find p, given that 14*p**5 + 38*p**4 + 30*p**3 + 2*p**2 - 4*p = 0.
-1, 0, 2/7
Solve x**2 - 830*x + 172225 = 0.
415
Suppose l**2 + 18*l + 32 = 0. What is l?
-16, -2
Solve 4*q**5 + 68*q**4 + 340*q**3 + 492*q**2 + 216*q = 0.
-9, -6, -1, 0
Find u such that 6*u**3 + 3*u**2 - 6*u - 3 = 0.
-1, -1/2, 1
Factor -t**3 + 65*t**2 + 134*t.
-t*(t - 67)*(t + 2)
Solve -5*p**2 + 1350*p + 1355 = 0.
-1, 271
Factor m**3/4 + 7443*m**2/4 + 18466083*m/4 + 15271450641/4.
(m + 2481)**3/4
Factor -2*r**3 + 4*r**2 + 16*r.
-2*r*(r - 4)*(r + 2)
Factor -c**3 + 159*c**2 + 2052*c.
-c*(c - 171)*(c + 12)
Determine l, given that -2*l**4 - 4*l**3 + 6*l**2 + 16*l + 8 = 0.
-2, -1, 2
Factor q**4/4 - 19*q**3/4 + 26*q**2 - 44*q.
q*(q - 11)*(q - 4)**2/4
Let -2*a**2/13 - 6632*a/13 = 0. What is a?
-3316, 0
Determine j so that 2*j**5/5 - 8*j**4/5 + 4*j**2 - 2*j/5 - 12/5 = 0.
-1, 1, 2, 3
Suppose -3*g**4 - 12*g**3 + 12*g**2 + 48*g = 0. What is g?
-4, -2, 0, 2
Suppose -4*k**2 + 8*k + 32 = 0. Calculate k.
-2, 4
Determine a so that 4*a**4 - 36*a**3 + 52*a**2 + 36*a - 56 = 0.
-1, 1, 2, 7
Determine z so that -5*z**5 + 15*z**4 + 15*z**3 - 55*z**2 + 30*z = 0.
-2, 0, 1, 3
Let 2*m**5/21 + 2*m**4/7 - 8*m**3/21 - 8*m**2/7 = 0. Calculate m.
-3, -2, 0, 2
Factor -3*j**3/5 + 126*j**2/5 - 1188*j/5 - 2904/5.
-3*(j - 22)**2*(j + 2)/5
Let 2*q**2/9 - 32*q/9 + 10/3 = 0. What is q?
1, 15
Find p such that p**5/4 - 41*p**4/2 + 755*p**3/2 - 1633*p**2 - 17927*p/4 - 4901/2 = 0.
-1, 13, 58
Factor -4*g**5 + 24*g**3 - 32*g**2 + 12*g.
-4*g*(g - 1)**3*(g + 3)
Let 4*c**3 + 26*c**2 + 44*c + 16 = 0. What is c?
-4, -2, -1/2
Find t, given that -t**5/10 + 7*t**4/10 - 6*t**3/5 - 2*t**2/5 + 8*t/5 = 0.
-1, 0, 2, 4
Factor 3*y**2 + 1899*y.
3*y*(y + 633)
Suppose -2*h**3/5 + 6*h**2/5 + 10*h + 42/5 = 0. Calculate h.
-3, -1, 7
Factor -5*p**4 + 60*p**3 + 1145*p**2 + 2940*p - 4140.
-5*(p - 23)*(p - 1)*(p + 6)**2
Factor 4*l**5 - 30*l**4 + 86*l**3 - 116*l**2 + 72*l - 16.
2*(l - 2)**3*(l - 1)*(2*l - 1)
Determine g so that -20*g**5/3 - 272*g**4/3 + 452*g**3/3 + 464*g**2/3 - 80*g = 0.
-15, -1, 0, 2/5, 2
Determine y, given that 3*y**5/7 + 51*y**4/7 - 177*y**3/7 + 69*y**2/7 + 174*y/7 - 120/7 = 0.
-20, -1, 1, 2
Determine f, given that 5*f**4/2 - 275*f**3/2 + 2565*f**2 - 17010*f + 14580 = 0.
1, 18
Solve 2*q**4 + 20*q**3 - 2*q**2 - 20*q = 0 for q.
-10, -1, 0, 1
Solve -671*o**3 - 1340*o**2 - 667*o + 2 = 0.
-1, 2/671
Solve -y**2/2 - 7968*y - 31744512 = 0.
-7968
Factor 3*u**5 - 15*u**4 + 27*u**3 - 21*u**2 + 6*u.
3*u*(u - 2)*(u - 1)**3
Factor k**3 - 10*k**2 + 28*k - 24.
(k - 6)*(k - 2)**2
Let -2*m**2 + 64*m + 66 = 0. What is m?
-1, 33
Determine m so that -4*m**2 - 5464*m - 1865956 = 0.
-683
Determine g so that -5*g**2 + 4920*g - 1210320 = 0.
492
Find j, given that j**3/4 + 61*j**2/4 - 311*j/2 + 140 = 0.
-70, 1, 8
Factor z**4 + 13*z**3 + 12*z**2.
z**2*(z + 1)*(z + 12)
Factor -l**2/7 - 30*l/7.
-l*(l + 30)/7
Solve -5*u**5 + 35*u**4 - 85*u**3 + 85*u**2 - 30*u = 0 for u.
0, 1, 2, 3
Find n, given that 3*n**5/5 - 6*n**4/5 - 48*n**3/5 + 42*n**2/5 + 189*n/5 + 108/5 = 0.
-3, -1, 3, 4
Let -n**2 + 50*n - 49 = 0. Calculate n.
1, 49
Factor 16*x**4 - 72*x**3 - 540*x**2 - 918*x - 486.
2*(x - 9)*(2*x + 3)**3
Factor 2*s**2/3 - 16*s/3 + 8.
2*(s - 6)*(s - 2)/3
Determine f so that 7*f**5/2 - 33*f**4/2 - 101*f**3/2 - 75*f**2/2 - 7*f = 0.
-1, -2/7, 0, 7
Suppose 4*a**2 + 39744*a + 98724096 = 0. Calculate a.
-4968
Factor j**3/5 + 1593*j**2/5 + 3183*j/5 + 1591/5.
(j + 1)**2*(j + 1591)/5
Factor -5*t**5 + 110*t**4 - 725*t**3 + 760*t**2 + 4160*t + 2560.
-5*(t - 8)**3*(t + 1)**2
Solve -4*v**5 + 20*v**4 + 188*v**3 + 140*v**2 - 184*v - 160 = 0.
-4, -1, 1, 10
Factor -v**3/5 + 8*v**2 + 83*v/5 + 42/5.
-(v - 42)*(v + 1)**2/5
Find b, given that -6*b**4/7 + 12*b**3/7 + 90*b**2/7 = 0.
-3, 0, 5
Solve -a**5 - 6*a**4 + 56*a**3 - 6*a**2 - 199*a - 132 = 0.
-11, -1, 3, 4
Solve -4*v**4/5 - 6408*v**3/5 - 513280*v**2 + 6408*v/5 + 2566404/5 = 0.
-801, -1, 1
Suppose -8*k**4 - 252*k**3 + 676*k**2 - 144*k - 272 = 0. What is k?
-34, -1/2, 1, 2
Factor -2*z**3/13 - 38*z**2/13 - 220*z/13 - 400/13.
-2*(z + 4)*(z + 5)*(z + 10)/13
Determine z, given that -3*z**4 - 126*z**3 - 120*z**2 + 126*z + 123 = 0.
-41, -1, 1
Factor -c**2/3 - 4453*c/3 - 1484.
-(c + 1)*(c + 4452)/3
Suppose 2*l**3/7 + 16*l**2/7 + 38*l/7 + 24/7 = 0. Calculate l.
-4, -3, -1
What is c in -3*c**3 - 60*c**2 = 0?
-20, 0
Factor v**2 + 48*v + 576.
(v + 24)**2
Factor -3*l**2 + 447*l - 882.
-3*(l - 147)*(l - 2)
Suppose -3*i**3 + 18*i**2 + 75*i + 54 = 0. Calculate i.
-2, -1, 9
Factor -4*p**3 + 36*p**2 - 432.
-4*(p - 6)**2*(p + 3)
Factor -4*h**3/5 - 96*h**2/5 - 176*h/5.
-4*h*(h + 2)*(h + 22)/5
Find v, given that 2*v**3/7 + 416*v**2/21 - 34*v - 284/21 = 0.
-71, -1/3, 2
Factor -4*f**4 + 70*f**3 - 1417*f**2/4 + 420*f - 144.
-(f - 8)**2*(4*f - 3)**2/4
Factor 21*z**4 + 141*z**3 + 273*z**2 + 99*z - 54.
3*(z + 1)*(z + 3)**2*(7*z - 2)
What is s in 3*s**3 + 111*s**2 + 717*s + 609 = 0?
-29, -7, -1
Factor -3*k**4 + 33*k**3 + 39*k**2 - 33*k - 36.
-3*(k - 12)*(k - 1)*(k + 1)**2
Factor -5*q**3 + 2190*q**2 - 319740*q + 15560680.
-5*(q - 146)**3
Factor -21*d**4/8 + 6*d**3 - 3*d**2/2.
-3*d**2*(d - 2)*(7*d - 2)/8
Find s such that -3*s**3 + 522*s**2 - 23220*s + 44376 = 0.
2, 86
Factor -2*o**3/11 + 328*o**2/11 - 650*o/11 + 324/11.
-2*(o - 162)*(o - 1)**2/11
Factor 2*u**2/3 + 1132*u/3 + 160178/3.
2*(u + 283)**2/3
Factor -3*o**4/2 - 15*o**3/2 + 63*o**2/2 - 69*o/2 + 12.
-3*(o - 1)**3*(o + 8)/2
Solve -16*a**5 + 180*a**4 + 2596*a**3 + 4540*a**2 - 9300*a + 2000 = 0 for a.
-5, 1/4, 1, 20
Factor -4*c**4 + 40*c**3 + 12*c**2 - 560*c - 784.
-4*(c - 7)**2*(c 