1944.
-4*(j + 6)*(j + 9)**2
Factor -3*p**5/2 + 9*p**3/2 - 3*p**2.
-3*p**2*(p - 1)**2*(p + 2)/2
Factor -11*p**4 - 126*p**3 - 148*p**2 + 120*p.
-p*(p + 2)*(p + 10)*(11*p - 6)
Find d such that -12*d**4 + 1060*d**3 + 1816*d**2 - 1424*d - 1440 = 0.
-2, -2/3, 1, 90
Factor 3*a**3 + 18*a**2 + 15*a.
3*a*(a + 1)*(a + 5)
Factor -5*m**3 + 5*m**2 + 20*m - 20.
-5*(m - 2)*(m - 1)*(m + 2)
Factor -5*j**3 - 10*j**2 + 325*j - 750.
-5*(j - 5)*(j - 3)*(j + 10)
Let -3*n**3 + 12*n**2 - 9*n = 0. Calculate n.
0, 1, 3
Factor 2*m**5 - 7*m**4 + 7*m**3 - 2*m**2.
m**2*(m - 2)*(m - 1)*(2*m - 1)
Let -4*v**3 + 360*v**2 - 1392*v + 1376 = 0. What is v?
2, 86
Suppose 2*f**3 + 134*f**2 + 2310*f + 2178 = 0. What is f?
-33, -1
Factor 2*h**2/13 - 126*h/13 - 20.
2*(h - 65)*(h + 2)/13
Solve u**2 + 4694*u + 5508409 = 0.
-2347
Solve y**3 + 8*y**2 - 9*y - 72 = 0 for y.
-8, -3, 3
Factor 2*x**2 + 1976*x + 488072.
2*(x + 494)**2
Determine a so that 2*a**2 + 94*a - 96 = 0.
-48, 1
Find r such that -5*r**5 + 57*r**4 + 173*r**3 - 2573*r**2 + 4848*r - 1540 = 0.
-7, 2/5, 2, 5, 11
Solve 3*f**3/7 - 6*f**2/7 - 3*f/7 + 6/7 = 0.
-1, 1, 2
Solve -u**5/4 - 69*u**4/4 + u**3/4 + 69*u**2/4 = 0.
-69, -1, 0, 1
Factor -12*m**4/5 + 772*m**3/5.
-4*m**3*(3*m - 193)/5
Factor 621*i**2 + 7446*i - 72.
3*(i + 12)*(207*i - 2)
What is g in -4*g**2 + 4*g = 0?
0, 1
Factor -3*c**2 + 54*c - 243.
-3*(c - 9)**2
Find u, given that 2*u**3/13 - 102*u**2/13 + 100*u/13 = 0.
0, 1, 50
Find z, given that -3*z**5 + 63*z**4 - 402*z**3 + 858*z**2 - 747*z + 231 = 0.
1, 7, 11
Find n, given that -3*n**2 - 126*n - 123 = 0.
-41, -1
Let 5*f**3 - 360*f**2 - 1955*f + 2310 = 0. What is f?
-6, 1, 77
Determine x so that 2*x**3 - 1234*x**2 + 2462*x - 1230 = 0.
1, 615
Solve -n**2 - 195*n + 394 = 0 for n.
-197, 2
Factor -2*k**2/3 + 80*k/3 - 800/3.
-2*(k - 20)**2/3
Let 27*k**5/4 + 27*k**4/4 - 27*k**3/2 + k**2 + 2*k = 0. Calculate k.
-2, -1/3, 0, 2/3
Let -147*a**5/2 - 7539*a**4 - 390927*a**3/2 - 109854*a**2 - 15606*a = 0. What is a?
-51, -2/7, 0
Solve x**4/6 - 8*x**3/3 + 79*x**2/6 - 14*x - 30 = 0.
-1, 5, 6
Factor 4*p**4 - 4*p**3 - 4*p**2 + 4*p.
4*p*(p - 1)**2*(p + 1)
What is u in 34*u**2 - 72*u + 8 = 0?
2/17, 2
Suppose f**5 - 29*f**4 - 2*f**3 + 58*f**2 + f - 29 = 0. Calculate f.
-1, 1, 29
Factor -n**2 + 484*n - 483.
-(n - 483)*(n - 1)
Solve -2*b**5 + 3420*b**4 - 1462050*b**3 = 0.
0, 855
Solve 2*k**2/3 - 1692*k + 1073574 = 0 for k.
1269
Let -19*c**3/2 + 317*c**2/2 + 51*c = 0. Calculate c.
-6/19, 0, 17
Solve 2*r**3 + 216*r**2 + 1038*r + 824 = 0.
-103, -4, -1
Let -3*f**2 - 1266*f - 3771 = 0. What is f?
-419, -3
Find h such that -2*h**3/11 - 106*h**2/11 - 104*h/11 = 0.
-52, -1, 0
What is z in -4*z**3/5 - 22*z**2/5 + 8*z - 14/5 = 0?
-7, 1/2, 1
Find t, given that 15*t**4 + 9*t**3 - 36*t**2 + 12*t = 0.
-2, 0, 2/5, 1
Factor 2*v**3 + 374*v**2 + 17296*v - 17672.
2*(v - 1)*(v + 94)**2
Factor -3*u**2/2 + 66*u - 129/2.
-3*(u - 43)*(u - 1)/2
Suppose -4*g**2 - 60*g - 176 = 0. What is g?
-11, -4
Factor 2*v**3/11 - 2*v/11.
2*v*(v - 1)*(v + 1)/11
Solve 3*d**5/7 - 6*d**4/7 - 78*d**3/7 + 243*d/7 - 162/7 = 0 for d.
-3, 1, 6
Solve m**4/7 + 143*m**3/7 + 60*m**2 - 4*m/7 - 80 = 0 for m.
-140, -2, 1
Factor 15*k**2 - 115*k + 70.
5*(k - 7)*(3*k - 2)
Determine o, given that 3*o**4 - 120*o**3 - 378*o**2 - 384*o - 129 = 0.
-1, 43
Factor 9*x**3/5 + 93*x**2/5 - 174*x/5 + 72/5.
3*(x - 1)*(x + 12)*(3*x - 2)/5
Factor z**3 + 2*z**2 - 20*z + 24.
(z - 2)**2*(z + 6)
Solve 5*c**2 + 180*c + 1015 = 0 for c.
-29, -7
Suppose -1875*c**2 - 900*c - 108 = 0. What is c?
-6/25
Determine d, given that 2*d**4/3 - 12208*d**3 + 83832336*d**2 - 255856289472*d + 292827523300704 = 0.
4578
Suppose 45*x**3 + 10900*x**2 + 2420*x = 0. Calculate x.
-242, -2/9, 0
Suppose -k**2/7 - 13*k/7 - 22/7 = 0. What is k?
-11, -2
Find n such that -2*n**2 - 562*n + 2280 = 0.
-285, 4
Factor -4*a**3 - 448*a**2.
-4*a**2*(a + 112)
Factor 4*h**3/7 - 388*h**2/7 + 8800*h/7 + 30000/7.
4*(h - 50)**2*(h + 3)/7
Find c, given that c**4 - 4*c**3 - 66*c**2 - 116*c - 55 = 0.
-5, -1, 11
Solve -2*l**4/5 + 88*l**3/5 - 736*l**2/5 + 1952*l/5 - 1632/5 = 0 for l.
2, 6, 34
Determine m, given that 2*m**2/7 - 104*m/7 + 774/7 = 0.
9, 43
Let 6*b**4/5 + 52*b**3 + 16*b**2 - 52*b - 86/5 = 0. What is b?
-43, -1, -1/3, 1
Factor -5*w**3 + 5*w**2 + 230*w + 400.
-5*(w - 8)*(w + 2)*(w + 5)
Factor 5*i**3 - 45*i**2 + 55*i + 105.
5*(i - 7)*(i - 3)*(i + 1)
Factor -k**4/3 + 32*k**3 + 196*k**2/3.
-k**2*(k - 98)*(k + 2)/3
Let 5*b**2 + 60*b + 135 = 0. What is b?
-9, -3
Determine n so that 4*n**4 + 88*n**3 + 236*n**2 + 152*n = 0.
-19, -2, -1, 0
Factor -5*o**2/2 - 240*o - 475/2.
-5*(o + 1)*(o + 95)/2
Suppose x**4/2 - 1838*x**3 + 2533683*x**2 - 1552303118*x + 713283282721/2 = 0. What is x?
919
Let 4*t**4 + 2356*t**3 + 345740*t**2 - 348100*t = 0. What is t?
-295, 0, 1
Suppose 2*j**4 - 144*j**3 + 274*j**2 + 420*j = 0. What is j?
-1, 0, 3, 70
Solve -a**2 + 47*a - 540 = 0.
20, 27
Factor g**4/3 - 2*g**2/3 + 1/3.
(g - 1)**2*(g + 1)**2/3
Suppose 2*g**3/5 - 266*g**2/5 - 2*g/5 + 266/5 = 0. What is g?
-1, 1, 133
Find q such that q**3/5 + 7*q**2/5 - 192*q/5 + 684/5 = 0.
-19, 6
Factor -2*v**3/11 + 6*v**2/11 + 36*v/11 - 80/11.
-2*(v - 5)*(v - 2)*(v + 4)/11
Find m, given that m**2 - 483*m = 0.
0, 483
Factor -4*k**4 - 8*k**3 + 3*k**2 + 7*k + 2.
-(k - 1)*(k + 2)*(2*k + 1)**2
Find s such that s**4/5 - 8*s**3 - 171*s**2/5 - 218*s/5 - 88/5 = 0.
-2, -1, 44
Solve -4*h**2 + 24*h = 0 for h.
0, 6
Determine c so that 35*c**5/3 - 95*c**4/3 - 65*c**3/3 + 95*c**2/3 + 10*c = 0.
-1, -2/7, 0, 1, 3
Factor l**5/6 + 5*l**4/3 - 118*l**3/3 + 219*l**2 - 999*l/2 + 414.
(l - 4)*(l - 3)**3*(l + 23)/6
Factor 9*g**4 + 62*g**3 + 93*g**2 + 40*g.
g*(g + 1)*(g + 5)*(9*g + 8)
Factor 2*a**2/3 + 2*a/3 - 40/3.
2*(a - 4)*(a + 5)/3
Factor 2*f**3/7 - 948*f**2/7 + 2826*f/7.
2*f*(f - 471)*(f - 3)/7
Factor -5*g**3 + 45*g**2 + 500*g + 960.
-5*(g - 16)*(g + 3)*(g + 4)
Determine t, given that -t**3/12 + 10*t**2/3 + 89*t/4 + 69/2 = 0.
-3, 46
Factor 3*g**2 - 3351*g + 6690.
3*(g - 1115)*(g - 2)
Determine q, given that 2*q**5/3 - 8*q**3/3 + 4*q**2/3 + 2*q - 4/3 = 0.
-2, -1, 1
Factor -2*p**5 + 34*p**4 + 156*p**3 + 244*p**2 + 166*p + 42.
-2*(p - 21)*(p + 1)**4
Let 3*j**4 + 345*j**3 - 3*j**2 - 345*j = 0. What is j?
-115, -1, 0, 1
Solve 4*f**2/3 + 316*f/3 - 560 = 0.
-84, 5
What is w in w**2/7 - 1336*w/7 + 446224/7 = 0?
668
Let 4*m**3 + 988*m**2 + 1964*m + 980 = 0. Calculate m.
-245, -1
Let t**4/2 + 14*t**3/3 + 27*t**2/2 + 12*t + 8/3 = 0. Calculate t.
-4, -1, -1/3
Determine v so that 2*v**4/5 - 62*v**3/5 - 594*v**2/5 - 234*v = 0.
-5, -3, 0, 39
Find x such that x**3 + 16*x**2 + 51*x + 36 = 0.
-12, -3, -1
Solve -3*k**3/2 - 45*k**2/2 - 66*k + 90 = 0.
-10, -6, 1
Determine v so that -4*v**3 + 96*v**2 - 332*v + 240 = 0.
1, 3, 20
Factor -q**3/3 + 3493*q**2/3.
-q**2*(q - 3493)/3
Let t**4 - 14*t**3 = 0. Calculate t.
0, 14
What is g in -2*g**3/17 - 40*g**2/17 + 2*g/17 + 40/17 = 0?
-20, -1, 1
Determine z, given that -3*z**4 + 30*z**3 + 21*z**2 - 228*z + 180 = 0.
-3, 1, 2, 10
Factor 4*i**2 - 388*i/5 + 152/5.
4*(i - 19)*(5*i - 2)/5
Let z**4 - 7*z**3 - z**2 + 7*z = 0. What is z?
-1, 0, 1, 7
Suppose 16*v**5/7 + 156*v**4/7 - 856*v**3/7 + 1292*v**2/7 - 720*v/7 + 16 = 0. Calculate v.
-14, 1/4, 1, 2
Solve 2*r**2 - 2*r/3 - 4/3 = 0 for r.
-2/3, 1
Factor -2*b**4/17 + 42*b**3/17 - 144*b**2/17 - 864*b/17.
-2*b*(b - 12)**2*(b + 3)/17
Solve 2*a**4 - 142*a**3 + 278*a**2 - 138*a = 0.
0, 1, 69
Factor -12*r**3 - 26272*r**2/5 - 2874156*r/5 + 383688/5.
-4*(r + 219)**2*(15*r - 2)/5
Factor -3*v**3/4 - 21*v**2/4 + 30*v - 33.
-3*(v - 2)**2*(v + 11)/4
Suppose -50*y**4 + 255*y**3 - 225*y**2 + 20*y = 0. Calculate y.
0, 1/10, 1, 4
Suppose -j**4/2 + 5*j**3/2 + 46*j**2 - 48*j = 0. What is j?
-8, 0, 1, 12
Find l, given that -289*l**2/4 + 306*l - 324 = 0.
36/17
Determine f so that f**2/7 + 5*f/7 + 4/7 = 0.
-4, -1
Factor 2*m**4 + 23*m**3 + 59*m**2 - 48*m - 36.
(m - 1)*(m + 6)**2*(2*m + 1)
Find m, given that -m**4/2 + 21*m**2/2 - 10*m = 0.
-5, 0, 1, 4
Solve -2*u**2/3 + 3328*u/3 - 1384448/3 = 0 for u.
832
Find i such that -2*i**4/17 - 20*i**3/17 - 66*i**2/17 - 72*i/17 = 0.
-4, -3, 0
Let 4*b**2/7 - 8*b/7 - 96 = 0. Calculate b.
-12, 14
Factor d**5/3 + 7*d**4/3 + 5*d**3 + 13*d**2/3 + 4*d/3.
d*(d + 1)**3*(d + 4)/3
Let v**4/6 + 5*v**3/3 - v**2/2 - 16*v/3 - 10/3 = 0. What is v?
-10, -1, 