*3 - 20*i**2 - 25*i - 10.
-5*(i + 1)**2*(i + 2)
Find s, given that -4*s**3 + 12*s**2 + 16*s = 0.
-1, 0, 4
Suppose t**4/2 - 15*t**3/2 + 18*t**2 = 0. What is t?
0, 3, 12
What is v in -4*v**4/5 + 8*v**3/5 + 12*v**2 + 16*v/5 - 16 = 0?
-2, 1, 5
What is l in -4*l**5 + 36*l**3 + 16*l**2 - 48*l = 0?
-2, 0, 1, 3
Solve -5*g**3 + 490*g**2 - 5585*g + 5100 = 0.
1, 12, 85
Solve 7*r**5/9 + 23*r**4/9 + 20*r**3/9 + 4*r**2/9 = 0.
-2, -1, -2/7, 0
Let 2*d**2/23 - 156*d/23 + 3042/23 = 0. What is d?
39
What is a in -5*a**4 - 5740*a**3 - 1653105*a**2 - 3283290*a = 0?
-573, -2, 0
Factor o**2/2 + 297*o/2 + 148.
(o + 1)*(o + 296)/2
Find k, given that 9*k**5/8 + 24*k**4 + 639*k**3/4 + 324*k**2 + 729*k/8 = 0.
-9, -3, -1/3, 0
What is r in -5*r**2 + 45*r - 40 = 0?
1, 8
Let -6*z**3/5 + 6*z**2 - 48*z/5 + 24/5 = 0. Calculate z.
1, 2
Find o such that 11*o**2 - 18*o - 8 = 0.
-4/11, 2
Factor 2*h**3/13 + 440*h**2/13 + 874*h/13 + 436/13.
2*(h + 1)**2*(h + 218)/13
Factor -h**4/4 - 51*h**3/4 - 673*h**2/4 - 525*h/4 + 625/2.
-(h - 1)*(h + 2)*(h + 25)**2/4
Find t such that -2*t**5/15 + 2*t**4/15 + 2*t**3/3 + 2*t**2/5 = 0.
-1, 0, 3
Factor -4225*l**3 + 7735*l**2 - 4720*l + 960.
-5*(5*l - 3)*(13*l - 8)**2
Suppose -c**4/4 - 3*c**3/2 + 15*c**2/4 - 2*c = 0. Calculate c.
-8, 0, 1
Factor -14*f**2 - 746*f - 212.
-2*(f + 53)*(7*f + 2)
Suppose 5*z**4 + 435*z**3 + 9665*z**2 + 8385*z - 18490 = 0. Calculate z.
-43, -2, 1
Find p, given that -3*p**5 - 6*p**4 - 3*p**3 = 0.
-1, 0
Factor 3*u**3 + 24*u**2 + 36*u.
3*u*(u + 2)*(u + 6)
Factor -2*j**4/15 - 494*j**3/3 - 337834*j**2/5 - 136796338*j/15 + 563559976/15.
-2*(j - 4)*(j + 413)**3/15
Factor 2*l**3/9 - 142*l**2/9 + 230*l - 954.
2*(l - 53)*(l - 9)**2/9
Determine j, given that 4*j**2 - 608*j + 23104 = 0.
76
Solve 5*a**5/7 + 117*a**4/7 - 74*a**3/7 - 48*a**2/7 = 0.
-24, -2/5, 0, 1
Suppose 35*n**2 + 10*n - 25 = 0. What is n?
-1, 5/7
Let h**4/3 + 11*h**3/3 + 9*h**2 - 11*h/3 - 28/3 = 0. Calculate h.
-7, -4, -1, 1
Factor y**5 - y**4 - 3*y**3 + y**2 + 2*y.
y*(y - 2)*(y - 1)*(y + 1)**2
Factor 2*i**3/15 - 46*i**2 + 2056*i/15 - 456/5.
2*(i - 342)*(i - 2)*(i - 1)/15
Let 45*l**3 - 12450*l**2 - 16660*l - 5560 = 0. Calculate l.
-2/3, 278
Determine d so that d**2 + 51*d - 52 = 0.
-52, 1
Factor 900*l**2 + 895*l - 5.
5*(l + 1)*(180*l - 1)
Factor 3*a**2/7 - 93*a/7 + 324/7.
3*(a - 27)*(a - 4)/7
Determine m, given that -3*m**5/7 - 18*m**4 - 1431*m**3/7 - 2040*m**2/7 + 3600*m/7 = 0.
-20, -3, 0, 1
What is v in 2*v**5/15 + 86*v**4/15 + 242*v**3/5 + 2258*v**2/15 + 2672*v/15 + 352/5 = 0?
-33, -4, -1
Factor -o**2/3 + 4*o - 35/3.
-(o - 7)*(o - 5)/3
Factor -2*y**2 + 70*y + 792.
-2*(y - 44)*(y + 9)
Factor 3*q**5 - 114*q**4 - 117*q**3.
3*q**3*(q - 39)*(q + 1)
Determine o, given that 2*o**5 - 340*o**4/7 - 5448*o**3/7 + 137104*o**2/7 - 38720*o/7 = 0.
-20, 0, 2/7, 22
Factor 2*s**2/7 + 24*s/7 + 22/7.
2*(s + 1)*(s + 11)/7
Let -2*s**3/9 - 28*s**2/9 + 46*s/3 - 12 = 0. What is s?
-18, 1, 3
Factor -2*f**3/5 + 218*f**2/5 - 848*f/5 + 168.
-2*(f - 105)*(f - 2)**2/5
Suppose -363*t**2/7 + 3564*t/7 - 8748/7 = 0. What is t?
54/11
Solve 2*k**4 - 12*k**3 + 2*k**2 + 48*k + 32 = 0.
-1, 4
What is p in -p**2/11 + 18*p/11 + 19/11 = 0?
-1, 19
Solve 12*t**4 + 116*t**3 - 696*t**2 + 496*t + 672 = 0 for t.
-14, -2/3, 2, 3
Determine d, given that 2*d**4/15 - 4*d**3/5 + 2*d**2/5 + 4*d/3 = 0.
-1, 0, 2, 5
Find a such that -2*a**5 - 12*a**4 - 8*a**3 + 12*a**2 + 10*a = 0.
-5, -1, 0, 1
Let -3*r**4/2 + 147*r**3/2 + 75*r**2 = 0. Calculate r.
-1, 0, 50
What is m in 2*m**2/5 + 62*m/5 - 64/5 = 0?
-32, 1
Solve h**4/6 + 2*h**3 - 16*h**2/3 - 8*h + 56/3 = 0.
-14, -2, 2
Solve -4*y**5 + 8*y**4 + 8*y**3 - 16*y**2 - 4*y + 8 = 0.
-1, 1, 2
What is l in -5*l**3 + 45*l**2 + 5*l - 45 = 0?
-1, 1, 9
Factor -h**3/4 - 83*h**2/4 + 43*h/2 + 42.
-(h - 2)*(h + 1)*(h + 84)/4
Let 3*r**3 + 36*r**2 + 108*r = 0. Calculate r.
-6, 0
Factor 12*c**5 - 340*c**4/9 + 124*c**3/3 - 52*c**2/3 + 16*c/9.
4*c*(c - 1)**3*(27*c - 4)/9
Factor l**2/4 + 8281*l/2 + 68574961/4.
(l + 8281)**2/4
Let -5*n**4 - 540*n**3 + 550*n**2 + 540*n - 545 = 0. What is n?
-109, -1, 1
Solve s**5 - 16*s**4 + 64*s**3 = 0.
0, 8
Factor 2*v**3 - 156*v**2 - 318*v - 160.
2*(v - 80)*(v + 1)**2
Factor 3*u**3/10 + 53*u**2/5 - 1287*u/10 + 81.
(u - 9)*(u + 45)*(3*u - 2)/10
Suppose -3*m**5 + 93*m**4 - 174*m**3 - 6*m**2 + 177*m - 87 = 0. What is m?
-1, 1, 29
Factor -l**3/9 - 26*l**2/9 - 169*l/9.
-l*(l + 13)**2/9
Factor -4*y**4 - 564*y**3 + 16*y**2 + 2256*y.
-4*y*(y - 2)*(y + 2)*(y + 141)
Find r, given that -15*r**4 + 1555*r**3 - 5540*r**2 + 3980*r + 2000 = 0.
-1/3, 2, 100
Factor -5*o**3 - 810*o**2 + 1635*o - 820.
-5*(o - 1)**2*(o + 164)
Solve 4*h**2 - 3132*h = 0.
0, 783
Factor 11*f**3/3 - 53*f**2/3 + 34*f/3 + 8/3.
(f - 4)*(f - 1)*(11*f + 2)/3
Find o such that -o**3 - 30*o**2 + 169*o - 210 = 0.
-35, 2, 3
Factor 2*v**2 + 60*v + 162.
2*(v + 3)*(v + 27)
Determine k, given that 14*k**2 + 122*k - 180 = 0.
-10, 9/7
Factor -4*r**3/5 - 44*r**2/5 + 116*r - 532/5.
-4*(r - 7)*(r - 1)*(r + 19)/5
Let 2*a**3 - 12*a**2 = 0. Calculate a.
0, 6
Determine q so that 5*q**5 - 30*q**4 + 60*q**3 - 40*q**2 = 0.
0, 2
Solve -29*w**2/3 + w = 0 for w.
0, 3/29
Suppose 6*t**3 + 213*t**2 - 111*t - 108 = 0. Calculate t.
-36, -1/2, 1
Determine m, given that 8*m**5/5 + 8*m**4/5 - 262*m**3/5 + 476*m**2/5 - 286*m/5 + 56/5 = 0.
-7, 1/2, 1, 4
Factor 4*p**4 + 224*p**3 + 3132*p**2 - 224*p - 3136.
4*(p - 1)*(p + 1)*(p + 28)**2
Factor -3*g**2 - 36*g - 96.
-3*(g + 4)*(g + 8)
Factor 2*o**2/7 - 38*o/7 - 72.
2*(o - 28)*(o + 9)/7
Suppose 4*m**5 - 44*m**4 + 148*m**3 - 180*m**2 + 72*m = 0. What is m?
0, 1, 3, 6
What is t in t**2/3 + 2*t + 5/3 = 0?
-5, -1
Suppose 6*v**5/11 - 6*v**4/11 - 186*v**3/11 + 366*v**2/11 - 180*v/11 = 0. Calculate v.
-6, 0, 1, 5
Factor -m**3/4 - 47*m**2/4 - 475*m/4 + 1875/4.
-(m - 3)*(m + 25)**2/4
Factor -v**4/2 - 8*v**3 - 39*v**2/2 + 2*v + 26.
-(v - 1)*(v + 2)**2*(v + 13)/2
Determine b, given that -3*b**3 - 36*b**2 - 135*b - 162 = 0.
-6, -3
Factor 2*i**2/3 - 632*i/3 + 210.
2*(i - 315)*(i - 1)/3
Solve -2*r**4/9 + 26*r**3/3 = 0.
0, 39
Suppose 1360*a**5 + 5960*a**4 + 7525*a**3 + 2090*a**2 - 20*a - 40 = 0. What is a?
-2, -1/4, 2/17
Factor 105*l**3 + 725*l**2 + 590*l + 120.
5*(l + 6)*(3*l + 1)*(7*l + 4)
Factor -6*x**2 + 2644*x - 873842/3.
-2*(3*x - 661)**2/3
Factor 35*k**4 + 235*k**3 - 70*k**2.
5*k**2*(k + 7)*(7*k - 2)
Factor 2*f**4 - 6*f**3 + 2*f**2 + 6*f - 4.
2*(f - 2)*(f - 1)**2*(f + 1)
Factor 5*a**5 + 20*a**4 + 25*a**3 + 10*a**2.
5*a**2*(a + 1)**2*(a + 2)
Factor 38*j**2/15 + 194*j/15 + 4/3.
2*(j + 5)*(19*j + 2)/15
Factor -2*v**4/3 + 7*v**3/3 + 2*v**2/3 - 7*v/3.
-v*(v - 1)*(v + 1)*(2*v - 7)/3
Find m, given that 4*m**2/3 - 1960*m = 0.
0, 1470
Factor -4*j**4 + 148*j**3 - 1268*j**2 - 2356*j + 8664.
-4*(j - 19)**2*(j - 2)*(j + 3)
Factor 2*t**3/17 - 30*t**2/17 + 52*t/17.
2*t*(t - 13)*(t - 2)/17
Factor a**4 + 21*a**3/4 + 17*a**2/4 - 33*a/4 - 9/4.
(a - 1)*(a + 3)**2*(4*a + 1)/4
Factor -2*m**2/5 + 188*m/5 - 4418/5.
-2*(m - 47)**2/5
Suppose -2*r**2 - 4*r = 0. Calculate r.
-2, 0
Factor w**2/3 - 23*w/6 + 5.
(w - 10)*(2*w - 3)/6
Factor 242*w**3/9 - 3520*w**2/9 - 5504*w/9 - 2048/9.
2*(w - 16)*(11*w + 8)**2/9
Determine y, given that 12*y**3 - 75*y**2 - 174*y + 48 = 0.
-2, 1/4, 8
Suppose 2*v**4/5 + 2*v**3/5 - 2*v**2 + 6*v/5 = 0. What is v?
-3, 0, 1
Factor r**5 + 4*r**4 + 4*r**3 - 2*r**2 - 5*r - 2.
(r - 1)*(r + 1)**3*(r + 2)
Let 4*l**4 - 56*l**3 + 128*l**2 + 512*l = 0. Calculate l.
-2, 0, 8
Suppose -3*w**3/2 - 151*w**2/2 - 74*w = 0. Calculate w.
-148/3, -1, 0
What is v in -4*v**2 + 1164*v - 1160 = 0?
1, 290
Factor -8*h**2 - 186*h - 46.
-2*(h + 23)*(4*h + 1)
Determine f so that -1975*f**3 + 3935*f**2 + 30*f = 0.
-3/395, 0, 2
Factor -5*b**5 - 15*b**4.
-5*b**4*(b + 3)
Find x, given that 2*x**4 - 188*x**3 + 5040*x**2 - 4900*x - 943250 = 0.
-11, 35
What is u in -10*u**2 - 14*u - 4 = 0?
-1, -2/5
Find h, given that 2*h**4/11 + 26*h**3/11 + 100*h**2/11 + 112*h/11 = 0.
-7, -4, -2, 0
What is o in -39*o**3 + 231*o**2 - 336*o + 144 = 0?
12/13, 1, 4
Determine d so that d**4/4 + 31*d**3/4 + 59*d**2/4 + 29*d/4 = 0.
-29, -1, 0
Suppose 5*f**3/11 + 19*f**2/11 + 2*f + 8/11 = 0. Calculate f.
-2, -1, -4/5
Factor 2*x**4 - 74*x**3 + 72*x**2.
2*x**2*(x - 36)*(x - 1)
Factor 2*j**3/7 - 916*j**2/7 + 104882*j/7.
2*j*(j - 229)**2/7
Find l such that -2*l**4 + 76*l**