 y.
0, 2, 41
Solve -2*y**5 - 12*y**4 + 20*y**3 + 40*y**2 - 18*y - 28 = 0.
-7, -1, 1, 2
Factor 5*w**4 - 20*w**3 - 30*w**2 + 20*w + 25.
5*(w - 5)*(w - 1)*(w + 1)**2
Let 35*q**3 + 640*q**2 - 5945*q - 1750 = 0. What is q?
-25, -2/7, 7
Determine m, given that -m**4/4 - 3*m**3/4 + m**2/4 + 3*m/4 = 0.
-3, -1, 0, 1
Determine i, given that -4*i**2 - 2400*i - 360000 = 0.
-300
Let q**3 + 3*q**2 - 4 = 0. What is q?
-2, 1
Let 2*b**4 + 8*b**3 + 6*b**2 = 0. Calculate b.
-3, -1, 0
Factor -3*w**4 + 249*w**2 + 486*w + 240.
-3*(w - 10)*(w + 1)**2*(w + 8)
Factor 2*g**4/3 + 106*g**3/3 + 1456*g**2/3 + 1352*g/3.
2*g*(g + 1)*(g + 26)**2/3
Suppose i**2 + 5446*i + 7414729 = 0. Calculate i.
-2723
Find n such that 2*n**3 + 66*n**2 + 432*n - 1944 = 0.
-18, 3
Factor 2*o**5 + 136*o**4 + 2888*o**3 + 14400*o**2 - 96768*o + 110592.
2*(o - 2)**2*(o + 24)**3
Find u, given that -3*u**2 - 14*u - 8 = 0.
-4, -2/3
Find y such that y**3/2 - 5*y**2/2 - 33*y/2 - 27/2 = 0.
-3, -1, 9
Factor u**2/6 + 74*u + 8214.
(u + 222)**2/6
Solve -5*j**2 + 50*j - 45 = 0.
1, 9
Find s such that 15*s**4 - 490*s**3 + 285*s**2 + 1110*s + 320 = 0.
-1, -1/3, 2, 32
Factor m**3 + 25*m**2 + 98*m - 304.
(m - 2)*(m + 8)*(m + 19)
Suppose -3*j**2 + 12*j + 96 = 0. Calculate j.
-4, 8
Find c, given that 5*c**3 + 85*c**2 + 150*c = 0.
-15, -2, 0
Factor d**4 - 28*d**3 + 222*d**2 - 364*d + 169.
(d - 13)**2*(d - 1)**2
Factor -t**4 - 162*t**3 - 6397*t**2 + 13284*t - 6724.
-(t - 1)**2*(t + 82)**2
Solve 3*m**5/7 + 702*m**4/7 + 2085*m**3/7 + 198*m**2 = 0 for m.
-231, -2, -1, 0
Factor -w**5 - 95*w**4 + w**3 + 95*w**2.
-w**2*(w - 1)*(w + 1)*(w + 95)
Factor -2*r**3/3 - 8*r**2/3 + 40*r.
-2*r*(r - 6)*(r + 10)/3
Find s such that -s**5/10 - 124*s**4/5 - 609*s**3/5 - 72*s**2 + 2187*s/10 = 0.
-243, -3, 0, 1
Factor q**2/2 + 17*q + 93/2.
(q + 3)*(q + 31)/2
Factor 10*o**4/13 + 96*o**3/13 + 210*o**2/13 - 100*o/13.
2*o*(o + 5)**2*(5*o - 2)/13
Factor n**5 - 7*n**4 + 16*n**3 - 8*n**2 - 16*n + 16.
(n - 2)**4*(n + 1)
Factor -21*u**2/5 - 318*u/5 - 336/5.
-3*(u + 14)*(7*u + 8)/5
What is s in -5*s**2 + 520*s - 1020 = 0?
2, 102
Let 2*j**4 - 30*j**3 + 54*j**2 + 486*j = 0. What is j?
-3, 0, 9
Determine c so that 74*c**4/19 - 136*c**3/19 + 50*c**2/19 + 12*c/19 = 0.
-6/37, 0, 1
Let 4*v**4 - 584*v**3 + 1716*v**2 = 0. What is v?
0, 3, 143
Solve 78*d**2 + 315*d/4 + 3/4 = 0 for d.
-1, -1/104
Suppose -b**2 + 10*b + 96 = 0. What is b?
-6, 16
Factor 5*o**2/2 + 159*o/4 - 4.
(o + 16)*(10*o - 1)/4
Factor g**2/7 + 67*g/7 + 66/7.
(g + 1)*(g + 66)/7
Factor -4*y**4 - 88*y**3 - 624*y**2 - 1512*y - 972.
-4*(y + 1)*(y + 3)*(y + 9)**2
Factor -2*a**4 - 69*a**3 + 188*a**2 + 111*a.
-a*(a - 3)*(a + 37)*(2*a + 1)
Find q such that -q**3 - 336*q**2 = 0.
-336, 0
Determine g so that -2*g**3/3 - 19*g**2/3 - 8*g = 0.
-8, -3/2, 0
Suppose -4*r**2 + 188*r = 0. Calculate r.
0, 47
Solve 2*f**4/3 - 11*f**3/6 + 5*f**2/6 + f/3 = 0.
-1/4, 0, 1, 2
Factor 2*y**2 - 22*y - 84.
2*(y - 14)*(y + 3)
Suppose -205*t**4 + 2245*t**3 - 3785*t**2 + 1655*t + 90 = 0. Calculate t.
-2/41, 1, 9
Factor 5*l**4 - 245*l**3 + 230*l**2 + 480*l.
5*l*(l - 48)*(l - 2)*(l + 1)
Factor n**5/5 - 26*n**4/5 + 216*n**3/5 - 486*n**2/5 - 729*n/5.
n*(n - 9)**3*(n + 1)/5
Solve 4*u**3 + 792*u**2 + 52272*u + 1149984 = 0 for u.
-66
Factor -i**2/3 + 310*i/3.
-i*(i - 310)/3
Solve -84*r**3/5 + 321*r**2/5 + 12*r = 0 for r.
-5/28, 0, 4
Factor 3*w**3 + 75*w**2 + 72*w.
3*w*(w + 1)*(w + 24)
Factor -n**3/4 + 5*n**2/4 + 3*n/2.
-n*(n - 6)*(n + 1)/4
Factor d**3/3 + 175*d**2/3 + 229*d + 171.
(d + 1)*(d + 3)*(d + 171)/3
Determine d so that 2*d**2/3 + 164*d/3 - 1246/3 = 0.
-89, 7
Find b, given that 9*b**4 + 12*b**3 - 5*b**2 - 12*b - 4 = 0.
-1, -2/3, 1
What is w in 2*w**5 - 112*w**4 - 1112*w**3 - 3692*w**2 - 5034*w - 2340 = 0?
-3, -2, -1, 65
Factor -4*c**4 + 28416*c**3 - 75700224*c**2 + 89629065216*c - 39795304955904.
-4*(c - 1776)**4
Determine q so that 5*q**2 + 642*q + 637 = 0.
-637/5, -1
Solve -2*k**4/9 - 104*k**3/3 + 2642*k**2/9 + 328*k = 0 for k.
-164, -1, 0, 9
Solve -5*p**2 + 17170*p - 14740445 = 0 for p.
1717
Factor 2*l**5 - 50*l**4 + 380*l**3 - 860*l**2 + 770*l - 242.
2*(l - 11)**2*(l - 1)**3
Determine y so that 2*y**2/13 - 148*y/13 = 0.
0, 74
What is s in -s**2 + 1426*s - 508369 = 0?
713
Find i such that 16*i**5 - 300*i**4 + 1924*i**3 - 4764*i**2 + 3388*i + 1176 = 0.
-1/4, 2, 3, 7
Factor 5*r**4 + 5*r**3 - 15*r**2 - 5*r + 10.
5*(r - 1)**2*(r + 1)*(r + 2)
Find j, given that -3*j**4/4 - 15*j**3/2 - 105*j**2/4 - 75*j/2 - 18 = 0.
-4, -3, -2, -1
Solve 34*a**4/5 - 676*a**3/5 - 16*a**2 = 0 for a.
-2/17, 0, 20
Factor -2*s**2/5 - 54*s/5 - 184/5.
-2*(s + 4)*(s + 23)/5
Factor -2*a**3 + 2294*a**2 - 658950*a + 656658.
-2*(a - 573)**2*(a - 1)
Let -3*v**2 + 22*v - 24 = 0. What is v?
4/3, 6
Factor -5*w**2 + 110*w.
-5*w*(w - 22)
Factor k**5/2 + 2*k**4 - 23*k**3/2 - 19*k**2 + 110*k - 100.
(k - 2)**3*(k + 5)**2/2
Factor 10*f**3 + 114*f**2 + 44*f.
2*f*(f + 11)*(5*f + 2)
Factor -h**5/5 - 52*h**4 - 22446*h**3/5 - 635796*h**2/5 + 658503*h/5.
-h*(h - 1)*(h + 87)**3/5
Factor w**3 - 22*w**2 + 21*w.
w*(w - 21)*(w - 1)
What is p in 4*p**3 + 176*p**2 + 2240*p + 6400 = 0?
-20, -4
Factor -5*n**3/4 + 45*n**2/2 - 70*n.
-5*n*(n - 14)*(n - 4)/4
Let -3*o**2 - 4350*o - 1576875 = 0. Calculate o.
-725
Factor -8*g**4 + 46*g**3/3 + 4*g**2/3.
-2*g**2*(g - 2)*(12*g + 1)/3
Solve -2*k**2 + 2156*k + 2158 = 0 for k.
-1, 1079
Factor -a**4/10 - 96*a**3/5 - 38*a**2.
-a**2*(a + 2)*(a + 190)/10
Factor a**2/5 - 238*a + 70805.
(a - 595)**2/5
Let -v**4 - 4*v**3 + 3*v**2 + 10*v - 8 = 0. What is v?
-4, -2, 1
Factor -49*h**4/2 - 665*h**3/2 - 184*h**2 - 26*h.
-h*(h + 13)*(7*h + 2)**2/2
Determine p, given that -4*p**4 + 988*p**3 + 2988*p**2 + 2996*p + 1000 = 0.
-1, 250
Solve 4225*w**4/3 + 260*w**3/3 - 5632*w**2 - 1040*w/3 - 16/3 = 0 for w.
-2, -2/65, 2
Determine z, given that -2*z**3 + 44*z**2 + 2*z - 44 = 0.
-1, 1, 22
Factor -2*r**3/19 + 16*r**2/19 + 66*r/19.
-2*r*(r - 11)*(r + 3)/19
Suppose -4*i**5 - 16*i**4 + 48*i**3 - 8*i**2 - 44*i + 24 = 0. What is i?
-6, -1, 1
Let -r**4 + r**3 + 9*r**2 - 9*r = 0. What is r?
-3, 0, 1, 3
Find r, given that 3*r**2 + 6930*r + 4002075 = 0.
-1155
Factor -2*t**4/3 - 368*t**3 - 76176*t**2 - 7008192*t - 241782624.
-2*(t + 138)**4/3
Factor -10*x**2/13 - 72*x/13.
-2*x*(5*x + 36)/13
Factor 193*x**3 - 189*x**2 - 4*x.
x*(x - 1)*(193*x + 4)
Find f such that f**2/2 - 1389*f + 1929321/2 = 0.
1389
Determine y, given that y**2/4 - y/2 - 35/4 = 0.
-5, 7
Solve -2*b**4/9 - 6*b**3 - 286*b**2/9 + 38*b = 0 for b.
-19, -9, 0, 1
Factor -4*b**2/5 - 448*b/5 + 3332/5.
-4*(b - 7)*(b + 119)/5
Suppose p**4 + 1614*p**3 + 649633*p**2 - 1304112*p + 652864 = 0. Calculate p.
-808, 1
Factor -2*v**2/7 + 1164*v/7 - 169362/7.
-2*(v - 291)**2/7
Suppose -2*f**5/13 - 22*f**4/13 + 80*f**3/13 - 56*f**2/13 = 0. What is f?
-14, 0, 1, 2
Solve -2*l**5/21 - 200*l**4/21 + 620*l**3/21 + 200*l**2/21 - 206*l/7 = 0.
-103, -1, 0, 1, 3
Factor -2*d**4/5 - 6*d**3/5 + 4*d**2.
-2*d**2*(d - 2)*(d + 5)/5
What is i in 110*i**3/3 - 994*i**2/3 + 1576*i/3 - 56/3 = 0?
2/55, 2, 7
Determine j so that j**2/2 + 11*j/2 + 15 = 0.
-6, -5
Factor -4*s**4 + 28*s**3 - 64*s**2 + 48*s.
-4*s*(s - 3)*(s - 2)**2
Solve 2*n**4/15 - 46*n**3/15 + 254*n**2/15 - 166*n/5 + 96/5 = 0 for n.
1, 3, 16
Factor q**4/2 - 9*q**3/2 - 15*q**2/2 + 53*q/2 - 15.
(q - 10)*(q - 1)**2*(q + 3)/2
Suppose -3*y**3/2 - 65*y**2/4 - 133*y/4 + 6 = 0. Calculate y.
-8, -3, 1/6
Let 675*o**3 + 360*o**2 - 7332*o + 8112 = 0. What is o?
-4, 26/15
Suppose 2*q**3/19 - 938*q**2/19 + 110448*q/19 - 109512/19 = 0. What is q?
1, 234
Factor -74*r**2 - 28*r + 240.
-2*(r + 2)*(37*r - 60)
Factor 3*f**2 - 17*f - 6.
(f - 6)*(3*f + 1)
Factor -q**4/10 + 3*q**3/10 + 2*q**2/5.
-q**2*(q - 4)*(q + 1)/10
Suppose 4*a**3/7 - 7444*a**2/7 + 14876*a/7 - 7436/7 = 0. What is a?
1, 1859
Factor p**2/3 - 1510*p/3 + 503.
(p - 1509)*(p - 1)/3
Determine g, given that 44*g**2/3 - 164*g + 88/3 = 0.
2/11, 11
Factor 4*m**3 + 72*m**2 + 420*m + 800.
4*(m + 5)**2*(m + 8)
Factor 2*w**4 + 16*w**3 - 28*w**2 - 96*w - 54.
2*(w - 3)*(w + 1)**2*(w + 9)
Factor 2*x**2/3 - 4076*x/3 + 2076722/3.
2*(x - 1019)**2/3
Factor g**2 + 188*g - 768.
(g - 4)*(g + 192)
Factor -a**4 + 15*a**3 - 63*a**2 + 49*a.
-a*(a - 7)**2*(a - 1)
Let 2*q**2/13 + 348*q + 196794 = 0. What is q?
-1131
Factor -v**2 - 3373*v - 3372.
-(v + 1)*(v + 3372)
What i