tor 2*a**3 - 1576*a**2 + 310472*a.
2*a*(a - 394)**2
Factor -2*h**4/9 + 598*h**3/9 - 6666*h**2 + 228690*h - 431244.
-2*(h - 99)**3*(h - 2)/9
Let r**2/4 + 2419*r/4 = 0. What is r?
-2419, 0
Factor g**3 - 414*g**2 + 413*g.
g*(g - 413)*(g - 1)
Factor -a**4 + a**3 + 8*a**2 - 12*a.
-a*(a - 2)**2*(a + 3)
Let 5*q**3 - 125*q**2 + 840*q - 720 = 0. What is q?
1, 12
Find d, given that d**4 - 3*d**3 - 8*d**2 + 12*d + 16 = 0.
-2, -1, 2, 4
What is p in p**4/3 + p**3 + p**2 + p/3 = 0?
-1, 0
Suppose 2*x**4/5 + 44*x**3/5 + 314*x**2/5 + 792*x/5 + 648/5 = 0. Calculate x.
-9, -2
Factor x**2/3 + 73*x/3 + 340/3.
(x + 5)*(x + 68)/3
Factor i**3/6 + 49*i**2/2 + 285*i/2 + 423/2.
(i + 3)**2*(i + 141)/6
Factor -h**2/3 + 984*h - 2951/3.
-(h - 2951)*(h - 1)/3
Factor -4*b**2 - 220*b - 624.
-4*(b + 3)*(b + 52)
Find n, given that -3*n**3/2 - 51*n**2/4 + 45*n/2 = 0.
-10, 0, 3/2
Solve -2*d**3/9 + 46*d**2/9 + 100*d/9 = 0.
-2, 0, 25
Factor -3*t**5 - 498*t**4 - 31242*t**3 - 887568*t**2 - 10131387*t - 16954566.
-3*(t + 2)*(t + 41)**4
Factor 3*o**3/8 + 3*o**2/4 - 27*o/8 - 27/4.
3*(o - 3)*(o + 2)*(o + 3)/8
Let 4*j**4 + 2272*j**3 + 11288*j**2 + 15776*j + 6756 = 0. What is j?
-563, -3, -1
Determine k so that -3*k**4/5 - 546*k**3 - 618339*k**2/5 + 248976*k - 623808/5 = 0.
-456, 1
Factor -y**3/2 + 5*y**2/2 - 3*y/2 - 9/2.
-(y - 3)**2*(y + 1)/2
Factor 2*g**2/7 + 88*g/7 - 232.
2*(g - 14)*(g + 58)/7
Factor 3*i**2/7 + 450*i/7.
3*i*(i + 150)/7
Let -3*u**3 - 201*u**2 + 9411*u - 9207 = 0. What is u?
-99, 1, 31
Find n such that 6*n**4/5 + 96*n**3/5 - 876*n**2/5 + 2016*n/5 - 1242/5 = 0.
-23, 1, 3
Suppose 10*h**2/11 - 34*h/11 - 108/11 = 0. Calculate h.
-2, 27/5
Suppose -42*s**4/11 - 340*s**3/11 - 746*s**2/11 - 488*s/11 - 40/11 = 0. Calculate s.
-5, -2, -1, -2/21
Solve -8*f**5/11 - 190*f**4/11 + 312*f**3/11 + 1438*f**2/11 - 2776*f/11 + 600/11 = 0.
-25, -3, 1/4, 2
Factor -i**4 + i**3 + i**2 - i.
-i*(i - 1)**2*(i + 1)
Factor 5*c**3 + 15*c**2 - 80*c + 60.
5*(c - 2)*(c - 1)*(c + 6)
Factor k**4/2 - 29*k**3/2 + 14*k**2.
k**2*(k - 28)*(k - 1)/2
What is a in a**3/2 - 2673*a**2 + 4763286*a - 2829391884 = 0?
1782
Factor -5*y**2 - 260*y - 255.
-5*(y + 1)*(y + 51)
Factor -a**5/2 - 9*a**4/2 + 21*a**3/2 - 11*a**2/2.
-a**2*(a - 1)**2*(a + 11)/2
Find i such that -2*i**3/19 + 14*i**2/19 + 16*i/19 = 0.
-1, 0, 8
Solve -3*v**5 + 75*v**3 + 180*v**2 + 108*v = 0 for v.
-3, -2, -1, 0, 6
Let -4250*d**5/7 - 2540*d**4/7 - 376*d**3/7 - 16*d**2/7 = 0. What is d?
-2/5, -2/17, -2/25, 0
Find c such that c**3/8 - 357*c**2/8 + 42483*c/8 - 1685159/8 = 0.
119
Suppose 5*d**5/4 - 12*d**4 + 105*d**3/4 + 25*d**2/2 = 0. What is d?
-2/5, 0, 5
Factor 4*y**2 - 488*y.
4*y*(y - 122)
Factor 3*m**4/4 - 75*m**3/2 - 471*m**2/4 - 159*m/2.
3*m*(m - 53)*(m + 1)*(m + 2)/4
Determine a so that 3*a**4 - 248*a**3 - 257*a**2/3 + 220*a + 332/3 = 0.
-2/3, 1, 83
Factor -3*p**4 + 4203*p**3.
-3*p**3*(p - 1401)
Find i, given that 10*i**5/7 - 74*i**4/7 + 4*i**3 = 0.
0, 2/5, 7
Find q such that -5*q**4 - 90*q**3 + 220*q**2 + 360*q - 800 = 0.
-20, -2, 2
Let k**2 + 8*k = 0. Calculate k.
-8, 0
Factor 27*t**3 - 2742*t**2 - 3668*t/3 - 136.
(t - 102)*(9*t + 2)**2/3
Factor 6*p**4/5 - 114*p**2/5 - 36*p.
6*p*(p - 5)*(p + 2)*(p + 3)/5
Let f**2 - 4936*f + 6091024 = 0. What is f?
2468
Factor 2*o**2/17 + 1426*o/17.
2*o*(o + 713)/17
Let -5*o**2 + 2835*o - 5650 = 0. What is o?
2, 565
Factor 4*i**4 + 21264*i**3 + 37679808*i**2 + 22256206592*i.
4*i*(i + 1772)**3
Find m, given that m**4 + 11*m**3/2 + 5*m**2 - 4*m = 0.
-4, -2, 0, 1/2
Solve -4*x**2 + 1080*x - 72900 = 0.
135
Find v, given that -5*v**2 - 75*v - 280 = 0.
-8, -7
Factor 4*d**2/7 + 144*d/7 + 272/7.
4*(d + 2)*(d + 34)/7
Find t such that 2*t**4 - 68*t**3 - 2*t**2 + 68*t = 0.
-1, 0, 1, 34
Solve -297*j**3 - 6*j**2 + 297*j + 6 = 0 for j.
-1, -2/99, 1
Factor v**4 + 7*v**3 - 73*v**2 + 65*v.
v*(v - 5)*(v - 1)*(v + 13)
Find m such that 3*m**2/2 - 39*m/2 - 135 = 0.
-5, 18
Find j, given that 4*j**3 + 1420*j**2 - 4*j - 1420 = 0.
-355, -1, 1
Factor 5*j**3 + 1485*j**2 + 1480*j.
5*j*(j + 1)*(j + 296)
Find s, given that 3*s**2 - 69*s + 228 = 0.
4, 19
Factor -2*d**2/11 - 450*d/11 - 448/11.
-2*(d + 1)*(d + 224)/11
What is w in 5*w**5/3 - 50*w**4/3 + 45*w**3 - 30*w**2 = 0?
0, 1, 3, 6
Find k, given that 3*k**4 + 15*k**3 - 3*k**2 - 15*k = 0.
-5, -1, 0, 1
Factor 3*p**5 + 12*p**4 - 15*p**3.
3*p**3*(p - 1)*(p + 5)
Let n**5/5 + 106*n**4/5 + 2697*n**3/5 - 6156*n**2/5 - 8748*n/5 = 0. Calculate n.
-54, -1, 0, 3
Factor 3*h**5/4 - 9*h**3/2 - 6*h**2 - 9*h/4.
3*h*(h - 3)*(h + 1)**3/4
Suppose 2*v**5/3 - 282*v**4/5 - 244*v**3/3 + 456*v**2/5 + 688*v/15 = 0. Calculate v.
-2, -2/5, 0, 1, 86
What is a in -10*a**3 + 49*a**2 - 55*a - 6 = 0?
-1/10, 2, 3
Factor -144*f**3 + 408*f**2 + 71*f + 3.
-(f - 3)*(12*f + 1)**2
Find c such that 5*c**5 + 295*c**4 + 840*c**3 - 20*c**2 - 1120*c = 0.
-56, -2, 0, 1
Determine g so that 3*g**5 + 69*g**4 + 405*g**3 + 255*g**2 - 1848*g - 1764 = 0.
-14, -7, -3, -1, 2
Solve 2*d**4 + 54*d**3 + 52*d**2 = 0 for d.
-26, -1, 0
Suppose -2*p**3/5 - 3618*p**2/5 - 326886*p + 327610 = 0. Calculate p.
-905, 1
Factor -2*j**2 + 96*j - 1152.
-2*(j - 24)**2
Factor -g**3/2 - g**2 + 7*g/2 - 2.
-(g - 1)**2*(g + 4)/2
Let -4*o**5/7 + 100*o**4/7 - 360*o**3/7 + 520*o**2/7 - 340*o/7 + 12 = 0. Calculate o.
1, 21
Suppose -2*l**2 - 82*l/3 + 28/3 = 0. Calculate l.
-14, 1/3
Let -n**4 + 3*n**3 - n**2 - 3*n + 2 = 0. What is n?
-1, 1, 2
Factor -5*y**4 + 15*y**3 - 5*y**2 - 15*y + 10.
-5*(y - 2)*(y - 1)**2*(y + 1)
Determine g, given that 111*g**4 + 438*g**3 + 309*g**2 - 18*g = 0.
-3, -1, 0, 2/37
Factor o**3/3 - o**2 + o - 1/3.
(o - 1)**3/3
Find q, given that -3*q**2 + 17604*q - 25825068 = 0.
2934
Determine w so that -3*w**2/2 + 362*w + 242 = 0.
-2/3, 242
Factor n**4 - 15*n**3 + 49*n**2 - 57*n + 22.
(n - 11)*(n - 2)*(n - 1)**2
Solve -d**5 - 27*d**4 - 96*d**3 + 1280*d**2 = 0.
-16, 0, 5
Solve 4*s**3/5 - 1032*s**2 + 443760*s - 63605600 = 0.
430
Suppose -3*j**2/2 + 177*j/2 + 90 = 0. What is j?
-1, 60
Suppose 2*o**2 + 598*o + 4088 = 0. What is o?
-292, -7
Factor u**5 + 25*u**4 - 2*u**3 - 50*u**2 + u + 25.
(u - 1)**2*(u + 1)**2*(u + 25)
Factor -20*v**3 + 12675*v**2 - 9490*v - 3165.
-5*(v - 633)*(v - 1)*(4*v + 1)
Let 3*m**5/4 - 241*m**4/4 + 315*m**3/4 + 81*m**2/4 - 79*m/2 = 0. Calculate m.
-2/3, 0, 1, 79
Find y such that 12*y**4/5 + 16*y**3 + 68*y**2/5 - 224*y/5 + 64/5 = 0.
-4, 1/3, 1
Factor -g**2/2 - 355*g/2 - 1388.
-(g + 8)*(g + 347)/2
Determine n so that 3*n**3 + 17*n**2/3 + 7*n/3 - 1/3 = 0.
-1, 1/9
Factor k**3/2 + 32*k**2.
k**2*(k + 64)/2
Factor -a**2/10 - 27*a/2 - 262/5.
-(a + 4)*(a + 131)/10
Find k such that 3850*k**2 + 4*k = 0.
-2/1925, 0
Suppose 52*v**4/3 + 259*v**3/3 + 421*v**2/3 + 80*v + 12 = 0. Calculate v.
-2, -3/4, -3/13
Factor f**3/5 + 14*f**2/5 + 24*f/5.
f*(f + 2)*(f + 12)/5
Let 35*w**2 + 565*w + 80 = 0. What is w?
-16, -1/7
Find g such that 5*g**5 + 615*g**4 - 1910*g**3 - 2520*g**2 = 0.
-126, -1, 0, 4
Solve 2*k**4 - 13*k**3 - 192*k**2 + 307*k - 104 = 0 for k.
-8, 1/2, 1, 13
Solve -3*f**3/4 + 9*f**2/2 - 9*f + 6 = 0.
2
Factor q**4 + 32*q**3 - 139*q**2 + 178*q - 72.
(q - 2)*(q - 1)**2*(q + 36)
Solve -w**3 - 110*w**2 - 3025*w = 0 for w.
-55, 0
Factor -m**3/2 - 18*m**2 - 192*m - 512.
-(m + 4)*(m + 16)**2/2
Solve -3*c**2/5 - 282*c/5 - 6627/5 = 0 for c.
-47
Determine j, given that -j**4/5 - 2*j**3/5 + 39*j**2/5 + 8*j - 80 = 0.
-5, 4
Find i, given that 2*i**3 + 12*i**2 + 18*i = 0.
-3, 0
Factor -5*x**3 - 205*x**2 - 1995*x + 2205.
-5*(x - 1)*(x + 21)**2
Factor -3*h**3/7 + 537*h**2/7 - 23760*h/7 - 24300/7.
-3*(h - 90)**2*(h + 1)/7
Determine d so that -8*d**3 - 244*d**2/3 + 224*d/3 + 44/3 = 0.
-11, -1/6, 1
Let -5*w**3 - 30*w**2 - 25*w + 60 = 0. What is w?
-4, -3, 1
Solve -25*r**5 + 40*r**4 + 9*r**3 - 40*r**2 + 16*r = 0 for r.
-1, 0, 4/5, 1
Determine m so that 1372*m**5 - 1036*m**4 - 352*m**3 + 16*m**2 = 0.
-2/7, 0, 2/49, 1
Let -2*z**3/3 + 50*z**2/3 - 16*z = 0. Calculate z.
0, 1, 24
Suppose 4*a**3 - 164*a**2 - 704*a - 720 = 0. What is a?
-2, 45
Let 3*b**3 + 648*b**2 + 1287*b + 642 = 0. Calculate b.
-214, -1
Factor -25*f**3 + 30*f**2 - 5*f.
-5*f*(f - 1)*(5*f - 1)
Factor -3*y**5 + 42*y**4 - 108*y**3 - 486*y**2 + 2511*y - 2916.
-3*(y - 9)*(y - 3)**3*(y + 4)
Factor -5*b**4 + 1240*b**3 - 69080*b**2 - 967200*b - 3042000.
-5*(b - 130)**2*(b + 6)**2
Find c, given that -2*c**4 + 13