
Let -5*x**3 + 280*x**2 - 805*x + 530 = 0. Calculate x.
1, 2, 53
Factor 4*m**5 + 11*m**4 - 39*m**3 + 29*m**2 - 5*m.
m*(m - 1)**2*(m + 5)*(4*m - 1)
Factor 5*q**4 + 30*q**3 - 75*q**2 - 500*q.
5*q*(q - 4)*(q + 5)**2
Suppose 5*n**4 + 85*n**3 + 365*n**2 - 525*n - 4410 = 0. What is n?
-7, -6, 3
Let -3*q**5 + 111*q**4 - 1182*q**3 + 2910*q**2 - 2703*q + 867 = 0. Calculate q.
1, 17
Let -2*j**5 + 60*j**4/7 + 26*j**3/7 - 264*j**2/7 + 72*j/7 = 0. What is j?
-2, 0, 2/7, 3
Determine v, given that -2*v**2 + 924*v = 0.
0, 462
Factor d**3 - 8*d**2 - 12*d + 144.
(d - 6)**2*(d + 4)
Determine y, given that 18*y**5/7 - 239*y**4/7 - 765*y**3/7 - 320*y**2/7 + 36*y + 64/7 = 0.
-2, -1, -2/9, 1/2, 16
Let 3364*h**5 - 6264*h**4 - 912*h**3 - 32*h**2 = 0. Calculate h.
-2/29, 0, 2
What is z in z**2/5 - 124*z/5 + 3844/5 = 0?
62
Suppose 5*u**3 - 1230*u**2 + 74400*u + 153760 = 0. Calculate u.
-2, 124
Factor -3*x**4/2 - 3*x**3 + 39*x**2/2 - 15*x.
-3*x*(x - 2)*(x - 1)*(x + 5)/2
Let -2*l**4/7 + 38*l**3/7 - 166*l**2/7 + 106*l/7 + 312/7 = 0. Calculate l.
-1, 3, 4, 13
What is h in 4*h**3 - 80*h**2 - 84*h = 0?
-1, 0, 21
Let 4*w**2 - 608*w + 23104 = 0. What is w?
76
Solve -2*o**2 - 12*o = 0.
-6, 0
Solve -12*c**4/17 + 110*c**3/17 - 112*c**2/17 - 2*c/17 + 16/17 = 0.
-1/3, 1/2, 1, 8
Factor 2*u**4 + 17*u**3 + 40*u**2 + 16*u.
u*(u + 4)**2*(2*u + 1)
Factor -y**2/2 - 31*y - 961/2.
-(y + 31)**2/2
Factor -5*u**4 + 145*u**3 + 330*u**2 - 580*u - 1240.
-5*(u - 31)*(u - 2)*(u + 2)**2
Factor 2*g**5/9 - 4*g**4/9 + 2*g**3/9.
2*g**3*(g - 1)**2/9
Suppose 5*t**2 + 610*t - 1240 = 0. What is t?
-124, 2
Suppose -5*c**2 + 1130*c + 1135 = 0. What is c?
-1, 227
Factor -f**2/6 - 7*f/3 + 5/2.
-(f - 1)*(f + 15)/6
Factor v**3/4 - 112*v**2 + 50621*v/4 - 49729/2.
(v - 223)**2*(v - 2)/4
What is w in 5*w**2/6 - 35*w/6 + 10 = 0?
3, 4
Determine s, given that 5*s**4 - 120*s**3 - 5*s**2 + 120*s = 0.
-1, 0, 1, 24
Find q, given that -q**2/6 - 3*q/2 + 35/3 = 0.
-14, 5
Find a, given that -3*a**2/5 - 108*a - 4860 = 0.
-90
Find i such that 4*i**2 - 56*i - 204 = 0.
-3, 17
Let -5*f**5 + 5*f**4 + 35*f**3 - 5*f**2 - 30*f = 0. What is f?
-2, -1, 0, 1, 3
Factor -3*s**2/4 + 6609*s/4 - 6603/2.
-3*(s - 2201)*(s - 2)/4
Suppose -2*o**4 + 38*o**3 - 96*o**2 - 8*o + 128 = 0. What is o?
-1, 2, 16
What is u in -3*u**3 + 33*u**2 + 435*u + 399 = 0?
-7, -1, 19
Find k such that -2*k**5/5 - 28*k**4/5 + 34*k**3/5 + 12*k**2 = 0.
-15, -1, 0, 2
Factor 2*m**4 + 229*m**3/2 - 175*m**2/2 - 29*m.
m*(m - 1)*(m + 58)*(4*m + 1)/2
Let 3*n**3/7 - 18*n**2/7 - 3*n/7 + 18/7 = 0. Calculate n.
-1, 1, 6
Find k, given that -2*k**5 - 38*k**4 + 130*k**3 - 50*k**2 - 128*k + 88 = 0.
-22, -1, 1, 2
Factor -5*k**5 + 20*k**4 - 30*k**3 + 20*k**2 - 5*k.
-5*k*(k - 1)**4
Factor i**4 + 121*i**3 + 4797*i**2 + 58835*i - 137842.
(i - 2)*(i + 41)**3
Solve 12*q**4 + 88*q**3 + 628*q**2/3 + 176*q + 48 = 0 for q.
-3, -2/3
Factor -10*t**3 - 406*t**2 - 616*t + 312.
-2*(t + 2)*(t + 39)*(5*t - 2)
Solve 4*o**4/3 - 412*o**3/3 + 400*o**2/3 + 272*o = 0.
-1, 0, 2, 102
Solve 36*z**5 + 996*z**4 + 3916*z**3 + 860*z**2 - 7584*z + 3312 = 0.
-23, -3, 2/3
Factor 3*h**3 - 540*h**2 + 24300*h.
3*h*(h - 90)**2
Factor -3*i**3/4 + 4419*i**2/4 + 8847*i/4 + 4425/4.
-3*(i - 1475)*(i + 1)**2/4
Let 4*d**3/9 - 2*d**2/9 - 34*d/9 - 28/9 = 0. What is d?
-2, -1, 7/2
Factor 5*x**4/2 + 25*x**3/2 + 20*x**2 + 10*x.
5*x*(x + 1)*(x + 2)**2/2
What is y in -2*y**5/5 + 2*y**4 - 14*y**3/5 - 2*y**2/5 + 16*y/5 - 8/5 = 0?
-1, 1, 2
Factor 2*g**2/9 + 208*g/9 - 214/3.
2*(g - 3)*(g + 107)/9
Determine g, given that g**3/11 - 7*g**2 + 76*g/11 = 0.
0, 1, 76
Factor 3*v**4 - 3252*v**3 + 878031*v**2 + 1769094*v.
3*v*(v - 543)**2*(v + 2)
Solve -2*o**3 + 864*o + 6912 = 0.
-12, 24
Factor -2*l**2/7 - 282*l - 3940/7.
-2*(l + 2)*(l + 985)/7
Factor 8*o**4/9 - 34*o**3/9 + 8*o**2/9.
2*o**2*(o - 4)*(4*o - 1)/9
Factor 2*q**4/9 + 5*q**3/3 - 26*q**2/9 + q.
q*(q - 1)*(q + 9)*(2*q - 1)/9
Factor 4*k**2/5 + 184*k/5 + 2116/5.
4*(k + 23)**2/5
What is y in -3*y**5/4 + 33*y**4/2 + 36*y**3 + 3*y**2/2 - 141*y/4 - 18 = 0?
-1, 1, 24
Factor 3*m**4/8 - 15*m**3/8 + 27*m**2/8 - 21*m/8 + 3/4.
3*(m - 2)*(m - 1)**3/8
Factor -5*f**4 - 50*f**3 - 105*f**2.
-5*f**2*(f + 3)*(f + 7)
Determine a so that -3*a**4/7 - 13*a**3/7 + 29*a**2/7 - a - 6/7 = 0.
-6, -1/3, 1
Factor -10*t**2/9 - 16*t/3 - 38/9.
-2*(t + 1)*(5*t + 19)/9
Find o, given that 1083*o**5/5 + 2052*o**4/5 + 858*o**3/5 - 108*o**2/5 + 3*o/5 = 0.
-1, 0, 1/19
Suppose -4*k**5/5 - 24*k**4/5 - 52*k**3/5 - 48*k**2/5 - 16*k/5 = 0. Calculate k.
-2, -1, 0
Factor -4*m**3 + 48*m**2 + 172*m + 120.
-4*(m - 15)*(m + 1)*(m + 2)
Find z such that -z**4/3 - 10*z**3/3 - 7*z**2 + 40*z/3 + 100/3 = 0.
-5, -2, 2
Factor -z**2 + 7658*z - 14661241.
-(z - 3829)**2
Find f such that 4*f**5 - 640*f**4 + 1888*f**3 - 616*f**2 - 1892*f + 1256 = 0.
-1, 1, 2, 157
Factor i**4 - 51*i**3 + 810*i**2 - 2916*i - 17496.
(i - 18)**3*(i + 3)
Factor -k**2/2 - 11*k/2 + 13.
-(k - 2)*(k + 13)/2
Let 3*a**2/2 - 27*a/2 - 600 = 0. Calculate a.
-16, 25
Suppose -2*o**5/3 + 70*o**4/9 + 138*o**3 + 2818*o**2/9 - 964*o/3 - 1232/9 = 0. Calculate o.
-7, -4, -1/3, 1, 22
Solve p**3 - 340*p**2 + 30212*p - 220448 = 0.
8, 166
Solve -81*x**5 - 45*x**4 + 194*x**3 - 76*x**2 + 8*x = 0.
-2, 0, 2/9, 1
What is r in -2*r**2/9 - 88*r - 8712 = 0?
-198
Suppose -m**4/4 - 127*m**3/4 - 992*m**2 + 1024*m = 0. What is m?
-64, 0, 1
Solve -5*f**4 + 40*f**3 + 120*f**2 - 160*f - 400 = 0 for f.
-2, 2, 10
Determine h, given that -2*h**4/5 + 44*h**3/5 - 264*h**2/5 + 16*h + 320 = 0.
-2, 4, 10
Factor 2*m**5/5 + 1062*m**4/5 + 187974*m**3/5 + 11090466*m**2/5.
2*m**2*(m + 177)**3/5
Determine v so that 3*v**5 + 47*v**4/2 - 385*v**3/6 + 26*v**2/3 + 10*v/3 = 0.
-10, -1/6, 0, 1/3, 2
Solve -50*d**5 - 380*d**4 - 1529*d**3/2 - 1223*d**2/2 - 399*d/2 - 45/2 = 0.
-5, -1, -3/10
Find s such that -3*s**3 - 750*s**2 + 1512*s = 0.
-252, 0, 2
Factor 3*f**4 + 2196*f**3 + 2193*f**2.
3*f**2*(f + 1)*(f + 731)
Suppose -15*o**4/8 + 207*o**3/8 - 411*o**2/4 + 117*o/2 + 189 = 0. Calculate o.
-1, 14/5, 6
What is f in -5*f**4 + 205*f**3 + 660*f**2 = 0?
-3, 0, 44
Determine k so that 3*k**2 - 291*k = 0.
0, 97
Find m such that -3*m**4 - 307*m**3 - 7594*m**2 + 13312*m - 5408 = 0.
-52, 2/3, 1
Suppose -25*d**4 - 51*d**3/2 - d**2/2 = 0. Calculate d.
-1, -1/50, 0
Determine p, given that -p**4/2 - 3*p**3 - 4*p**2 + 3*p + 9/2 = 0.
-3, -1, 1
Factor h**2 + 1854*h + 859329.
(h + 927)**2
Factor 2*k**3/5 - 16*k**2/5 + 8*k - 32/5.
2*(k - 4)*(k - 2)**2/5
Determine s, given that -3*s**5 + 24*s**4 - 66*s**3 + 84*s**2 - 51*s + 12 = 0.
1, 4
Factor 2*g**2/11 - 42*g/11 + 76/11.
2*(g - 19)*(g - 2)/11
Suppose -3*s**2 + 20202*s - 34010067 = 0. What is s?
3367
Factor -2*y**4/19 + 8*y**3/19 + 64*y**2/19.
-2*y**2*(y - 8)*(y + 4)/19
Find s such that -4*s**5/9 - 20*s**4/3 - 104*s**3/9 = 0.
-13, -2, 0
Solve -2*s**4 + 996*s**3 + 1002*s**2 - 1996*s = 0 for s.
-2, 0, 1, 499
Let -3*v**4 + 129*v**2 + 450*v + 432 = 0. What is v?
-3, -2, 8
Factor 19*j**2 + 78*j + 8.
(j + 4)*(19*j + 2)
What is w in 5*w**5 + 10*w**4 - 5*w**3 - 10*w**2 = 0?
-2, -1, 0, 1
Suppose -98*b**5 + 3584*b**4 - 33776*b**3 + 18432*b**2 - 2592*b = 0. Calculate b.
0, 2/7, 18
Factor 3*c**5 - 129*c**4 + 468*c**3.
3*c**3*(c - 39)*(c - 4)
Factor 2*p**2/15 - 78*p/5 + 228/5.
2*(p - 114)*(p - 3)/15
Factor 2*l**4/9 - 16*l**3/9 + 40*l**2/9 - 32*l/9.
2*l*(l - 4)*(l - 2)**2/9
Determine v so that -2*v**4/23 + 28*v**3/23 + 2*v**2/23 - 28*v/23 = 0.
-1, 0, 1, 14
Factor -14536832*q**2 + 10784*q - 2.
-2*(2696*q - 1)**2
Let -m**4 - 4*m**3 + 2*m**2 + 12*m - 9 = 0. Calculate m.
-3, 1
Let -3*y**4 - 12*y**3 + 57*y**2 + 318*y + 360 = 0. Calculate y.
-4, -3, -2, 5
Factor -45*a**3 + 80*a**2 + 380*a + 80.
-5*(a - 4)*(a + 2)*(9*a + 2)
What is b in 4*b**4 + 159*b**3 + 748*b**2 - 1149*b + 238 = 0?
-34, -7, 1/4, 1
Factor 2*f**3/3 - 970*f**2/3 + 118096*f/3 - 117128/3.
2*(f - 242)**2*(f - 1)/3
Suppose 2*p**3 + 9*p**2 - 38*p - 21 = 0. Calculate p.
-7, -1/2, 3
Factor 4*i**4 - 8*i**3 - 400*i**2 + 800*i.
4*i*(i - 10)*(i - 2)*(i + 10)
Factor -75*o**5 - 315*o**4 + 423*o**3 + 1371*o**2 - 2376*o + 972.
-3*(o - 1)**3*(5*o + 18)**2
Factor 7*d**3/2 + 69*d**2 - 187*d/2 + 21.
(d - 1)*(d + 21)*(7*d - 2)/2
Factor 2*z**4 - 40*z**3 + 200*z**2.
2*z**2*(z - 10)**2
Determine u, given that -3*u**2/5 - 684*u/5 = 0.
-228, 0
Factor -3*y**3/4 - 141*y**2/4 + 3*y/4