*o - 79884800 = 0.
-6320
Factor p**3/2 - 121*p**2 + 9238*p - 226796.
(p - 118)*(p - 62)**2/2
Find p, given that -2*p**2/9 - 1456*p/3 - 695806/9 = 0.
-2011, -173
Let -2*r**2 + 38860*r - 188762450 = 0. Calculate r.
9715
Factor 8281*u**2/4 + 6097*u + 4489.
(91*u + 134)**2/4
Let -4*a**3 + 1340*a**2 - 38784*a = 0. Calculate a.
0, 32, 303
Factor 5*p**3/8 - 101*p**2/2 - 8991*p/8 - 891/4.
(p - 99)*(p + 18)*(5*p + 1)/8
Solve 3*m**4 + 1617*m**3 - 176265*m**2 - 138013293*m - 275308638 = 0 for m.
-407, -2, 277
Find p, given that 21*p**4/5 - 981*p**3/5 - 15903*p**2/5 - 24519*p/5 + 41382/5 = 0.
-11, -3, 1, 418/7
Solve 4*s**2 - 171040*s + 1828417600 = 0.
21380
Factor d**2/4 + 4015*d/4 - 6027/2.
(d - 3)*(d + 4018)/4
Find l, given that -3*l**2 - 2695380*l - 605422778700 = 0.
-449230
Find g, given that g**5 - 161*g**4/5 + 1399*g**3/5 - 1459*g**2/5 - 6516*g/5 + 6732/5 = 0.
-2, 1, 3, 66/5, 17
Factor r**2/4 - 4419*r/4 + 4417/2.
(r - 4417)*(r - 2)/4
Solve 1996*b**2/7 - 9988*b/7 + 40/7 = 0.
2/499, 5
Solve 5329*f**4/3 + 13432*f**3 + 70847*f**2/3 - 13432*f - 25392 = 0.
-276/73, -1, 1
Find h, given that -4205*h**5 - 2139185*h**4 + 2734910*h**3 - 632320*h**2 + 40800*h = 0.
-510, 0, 4/29, 1
Factor -h**3/3 - 33*h**2 - 1400*h/3 + 3200.
-(h - 5)*(h + 24)*(h + 80)/3
Determine a so that -a**3 - 404*a**2 - 9183*a - 23940 = 0.
-380, -21, -3
What is q in 4*q**4 - 2904*q**3 + 612756*q**2 - 39581584*q - 81637488 = 0?
-2, 157, 414
Suppose -2*f**5 - 284*f**4 - 8570*f**3 + 106744*f**2 - 328928*f + 231040 = 0. What is f?
-76, 1, 4, 5
Find q such that q**3/6 - 21*q**2 + 1829*q/6 + 2070 = 0.
-5, 23, 108
Factor -3*t**3 + 843*t**2 - 18429*t - 19275.
-3*(t - 257)*(t - 25)*(t + 1)
Suppose 3*y**3/4 + 63*y**2/4 - 324*y - 1920 = 0. Calculate y.
-32, -5, 16
What is r in 18*r**5/19 - 1104*r**4/19 - 11584*r**3/19 + 47136*r**2/19 - 46112*r/19 + 13440/19 = 0?
-12, 2/3, 2, 70
Factor q**3/2 - 106630*q**2 + 11370170157*q/2 - 11369743641.
(q - 106629)**2*(q - 2)/2
Let p**2/3 - 2424448*p/3 + 1469487026176/3 = 0. Calculate p.
1212224
Solve -2*o**5 - 373206*o**4 - 17411272798*o**3 - 87050019586*o**2 - 139276747200*o - 69637627208 = 0 for o.
-93299, -2, -1
Factor s**4/11 + 106*s**3/11 + 1689*s**2/11 + 9436*s/11 + 1568.
(s + 4)*(s + 7)**2*(s + 88)/11
Determine z so that 5*z**3/3 + 895*z**2 + 160160*z + 28652800/3 = 0.
-185, -176
Factor 22*w**2 - 33002*w + 3000.
2*(w - 1500)*(11*w - 1)
Factor -2*m**3/5 + 2078*m**2/5 - 8288*m/5 + 1656.
-2*(m - 1035)*(m - 2)**2/5
Solve 2*g**2/3 + 188*g/3 + 1342 = 0.
-61, -33
Factor 11*r**2/4 - 1453*r/2 - 2385/4.
(r - 265)*(11*r + 9)/4
Solve -2*n**3/5 - 12*n**2/5 + 574*n = 0 for n.
-41, 0, 35
Let 2*i**4/5 - 666*i**3/5 + 1322*i**2/5 + 666*i/5 - 1324/5 = 0. What is i?
-1, 1, 2, 331
Let -4*x**2 - 5372*x - 74424 = 0. What is x?
-1329, -14
Factor 3*m**3 - 5445*m**2 - 27282*m - 32760.
3*(m - 1820)*(m + 2)*(m + 3)
What is h in -3*h**3 - 249*h**2 + 510*h = 0?
-85, 0, 2
Factor -2*w**4/19 - 202*w**3/19 - 2988*w**2/19.
-2*w**2*(w + 18)*(w + 83)/19
Factor -2164*t**3/3 + 4334*t**2/3 - 4*t.
-2*t*(t - 2)*(1082*t - 3)/3
Factor -j**2 + 9389*j + 28176.
-(j - 9392)*(j + 3)
Find g such that -g**5/4 - 107*g**4/4 - 2659*g**3/4 - 4793*g**2/4 + 665*g + 1225 = 0.
-70, -35, -2, -1, 1
Find p, given that 4*p**2/3 + 8048*p = 0.
-6036, 0
What is s in -s**2/6 - 17645*s/3 - 311346025/6 = 0?
-17645
Factor i**3 + 419*i**2 - 4756*i - 11180.
(i - 13)*(i + 2)*(i + 430)
Solve -15*v**5/4 - 213*v**4 - 11793*v**3/4 + 213*v**2 + 2952*v = 0.
-164/5, -24, -1, 0, 1
Factor -758*g**5/7 + 762*g**4/7 - 4*g**3/7.
-2*g**3*(g - 1)*(379*g - 2)/7
Factor o**2/5 + 257*o/5 + 3856/5.
(o + 16)*(o + 241)/5
Suppose 4*p**3 - 1828*p**2 + 82616*p + 84448 = 0. What is p?
-1, 52, 406
Factor -3400*v**2 + 23795*v + 35.
-5*(v - 7)*(680*v + 1)
Determine y so that y**3 - 422*y**2 - 2568*y = 0.
-6, 0, 428
Suppose -2*y**2 - 187644*y - 4401283842 = 0. Calculate y.
-46911
Factor 4*c**2 - 8160*c.
4*c*(c - 2040)
Factor -2*g**2/3 - 13164*g - 64984086.
-2*(g + 9873)**2/3
Solve 5*f**5/4 - 27*f**4 + 651*f**3/4 - 110*f**2 - 747*f + 720 = 0 for f.
-2, 1, 3, 48/5, 10
Find b, given that b**5 + 2950*b**4 + 2139877*b**3 - 52818320*b**2 + 185500276*b - 176893520 = 0.
-1487, 2, 20
Let -2*t**3 + 408*t**2 + 1706*t - 8736 = 0. Calculate t.
-7, 3, 208
Factor -5*f**2/2 + 3014*f/3 + 134.
-(f - 402)*(15*f + 2)/6
Let -2*l**4 + 1136940*l**3 - 1136938*l**2 = 0. Calculate l.
0, 1, 568469
Suppose 615*t**5/2 + 1343*t**4 - 40309*t**3/2 + 26238*t**2 + 12698*t - 440 = 0. Calculate t.
-11, -2/5, 4/123, 2, 5
Determine i so that 4*i**2 - 972*i - 2952 = 0.
-3, 246
Solve 177790*a**3 + 201325*a**2 + 23580*a + 45 = 0.
-1, -3/23, -3/1546
Factor 3*w**4 + 1428*w**3 + 186975*w**2 + 3948750*w.
3*w*(w + 26)*(w + 225)**2
Determine g so that 2*g**5/15 - 38318*g**4/5 + 1650135118*g**3/15 + 47924868226*g**2/15 + 24690316112*g + 324080123528/15 = 0.
-14, -1, 28753
Factor 2*r**2 - 178252*r.
2*r*(r - 89126)
Find c such that -5*c**5 - 15135*c**4 - 11400285*c**3 + 80454095*c**2 - 69038670*c = 0.
-1517, 0, 1, 6
Suppose 2*n**3/3 - 324*n**2 - 5894*n/3 - 1640 = 0. Calculate n.
-5, -1, 492
Determine a so that 7*a**4/5 - 19*a**3/5 - 496*a**2/5 + 868*a/5 + 288/5 = 0.
-8, -2/7, 2, 9
Factor 2*x**4 + 336*x**3 + 16650*x**2 + 202500*x.
2*x*(x + 18)*(x + 75)**2
Solve -4*c**4 + 477816*c**3 + 1433472*c**2 + 1433480*c + 477828 = 0 for c.
-1, 119457
Factor -358395*k**2 - 239095*k - 110.
-5*(3*k + 2)*(23893*k + 11)
Solve -2*v**3 + 14078*v**2 - 24794864*v + 74257944 = 0 for v.
3, 3518
Factor -38*m**2/5 + 1002*m/5 - 964/5.
-2*(m - 1)*(19*m - 482)/5
Solve y**3 - 34393*y**2 + 68783*y - 34391 = 0 for y.
1, 34391
Determine x so that 3*x**4/2 - 1317*x**3/2 + 6477*x**2 - 18054*x + 15444 = 0.
2, 6, 429
Let -4*o**3 + 396*o**2 - 2168*o - 5952 = 0. What is o?
-2, 8, 93
Factor -921*f**2/8 + 30395*f/8 - 33/4.
-(f - 33)*(921*f - 2)/8
Determine x so that -x**5/4 + 210*x**4 - 59819*x**3 + 12110725*x**2/2 - 317851875*x/4 + 270359375/2 = 0.
2, 13, 275
Determine y, given that y**4 + 4250*y**3 + 4528353*y**2 + 27038524*y + 22514420 = 0.
-2122, -5, -1
Let 20*q**5/13 + 486*q**4/13 - 2654*q**3/13 - 14990*q**2/13 + 35898*q/13 - 18760/13 = 0. Calculate q.
-28, -5, 1, 67/10
Determine r so that -2*r**2 - 10886*r - 314012 = 0.
-5414, -29
Solve -1089*w**4 - 5439*w**3 + 34878*w**2 - 39396*w + 216 = 0.
-9, 2/363, 2
Find z, given that -3*z**2 + 5724*z - 5721 = 0.
1, 1907
Find i, given that 20*i**4 + 148*i**3 - 976*i**2 + 1488*i - 576 = 0.
-12, 3/5, 2
Suppose b**5/2 + 2009*b**4/2 + 1016005*b**3/2 + 6993971*b**2/2 - 5026021*b - 8016008 = 0. Calculate b.
-1001, -8, -1, 2
Find l such that l**2/10 + 33*l/10 - 19 = 0.
-38, 5
Find o such that o**2/3 + 5948*o/3 + 59380/3 = 0.
-5938, -10
Let b**4/8 - 433*b**3/8 - 875*b**2/8 + 2169*b/8 + 1305/4 = 0. Calculate b.
-3, -1, 2, 435
Suppose 5*f**2 - 56840*f - 56845 = 0. Calculate f.
-1, 11369
Find d such that -41496*d**3 + 65103*d**2 - 23547*d - 60 = 0.
-5/1976, 4/7, 1
Factor -2*g**4/5 - 234*g**3 - 2332*g**2/5.
-2*g**2*(g + 2)*(g + 583)/5
What is w in -5*w**3/3 + 72200*w**2/3 - 144380*w/3 = 0?
0, 2, 14438
Find o, given that 3*o**2 + 40626*o + 137539323 = 0.
-6771
Suppose -46*b**5/5 + 2674*b**4/5 - 39034*b**3/5 + 5046*b**2/5 = 0. What is b?
0, 3/23, 29
Factor 4*b**2 - 33456*b + 69956496.
4*(b - 4182)**2
Factor 2*r**4 - 34*r**3 + 144*r**2.
2*r**2*(r - 9)*(r - 8)
Suppose -h**3/4 - 85*h**2/4 - 2307*h/4 - 20007/4 = 0. What is h?
-39, -27, -19
Solve -v**4/6 - 61*v**3/6 + 911*v**2/6 - 1237*v/2 + 777 = 0.
-74, 3, 7
What is w in -w**4/4 + 1723*w**3/4 + 17331*w**2/4 - 1723*w/4 - 8665/2 = 0?
-10, -1, 1, 1733
Factor -u**2 + 1448*u - 1447.
-(u - 1447)*(u - 1)
Factor 4*j**2 + 182816*j + 2088855616.
4*(j + 22852)**2
Determine c so that 5*c**2 + 3625*c + 3620 = 0.
-724, -1
Factor 4*g**2/7 - 34448*g/7 + 2052480/7.
4*(g - 8552)*(g - 60)/7
Factor -5*u**5 - 2045*u**4 + 410280*u**3 - 17187300*u**2.
-5*u**2*(u - 78)**2*(u + 565)
Suppose -55*w**3/2 + 6565*w**2/2 + 5465*w - 2420 = 0. What is w?
-2, 4/11, 121
Solve 2*h**2 - 288*h + 6670 = 0 for h.
29, 115
Factor -5*z**2 - 707260*z - 25010835380.
-5*(z + 70726)**2
Suppose -4*s**2 + 2192*s + 4400 = 0. What is s?
-2, 550
Determine d, given that -4*d**2 - 2739472*d - 469044177424 = 0.
-342434
Factor 20*o**2 - 11704*o + 2340.
4*(o - 585)*(5*o - 1)
Find k, given that -2*k**2/7 - 740*k/7 + 1214