, 3
Factor -5*l**2 - 1220*l + 255825.
-5*(l - 135)*(l + 379)
Find h, given that 1044*h**5 - 1464*h**4 - 484*h**3 + 1432*h**2 - 560*h + 32 = 0.
-1, 2/29, 2/3, 1
Factor l**2 - 17*l + 60.
(l - 12)*(l - 5)
Determine r so that -2*r**4/7 + 514*r**3/7 - 360*r**2 = 0.
0, 5, 252
Factor 3*s**3/2 + 307*s**2/4 - 313*s/4.
s*(s - 1)*(6*s + 313)/4
Solve l**3 + 223*l**2 - 56849*l + 56625 = 0 for l.
-375, 1, 151
Suppose -2*w**2/3 + 8168*w/3 = 0. Calculate w.
0, 4084
Suppose -40*m**3 + 2356*m**2 - 32884*m - 3312 = 0. What is m?
-1/10, 23, 36
Factor -83055*h**2 - 1244*h + 4.
-(113*h + 2)*(735*h - 2)
Factor -m**3/2 + 3748*m**2 - 253130*m + 4293384.
-(m - 7428)*(m - 34)**2/2
Find s, given that -100*s**5/3 + 7220*s**4/3 - 179836*s**3/3 + 1759964*s**2/3 - 5128480*s/3 - 7075600/3 = 0.
-1, 10, 133/5
Determine m so that 6*m**2/11 - 446*m/11 + 4284/11 = 0.
34/3, 63
Factor -3*p**4 + 3096*p**3 - 737778*p**2 - 31470840*p - 309981675.
-3*(p - 535)**2*(p + 19)**2
Suppose -c**4/2 - 199*c**3/2 + 2559*c**2/2 + 5711*c/2 + 1477 = 0. Calculate c.
-211, -1, 14
Factor a**2/2 - 3666*a + 7330.
(a - 7330)*(a - 2)/2
Determine x so that x**2 + 21208*x + 112444816 = 0.
-10604
Factor -3*q**2 + 168*q - 1029.
-3*(q - 49)*(q - 7)
Factor n**2/3 + 10364*n/3 + 26853124/3.
(n + 5182)**2/3
Factor x**2/2 - 392364*x.
x*(x - 784728)/2
Factor 7418*m**2 + 3707*m - 1.
(2*m + 1)*(3709*m - 1)
Solve 36*f**3 - 14392*f**2 + 1436800*f + 320000 = 0.
-2/9, 200
Factor -4*o**3/3 - 11116*o**2.
-4*o**2*(o + 8337)/3
Find n such that 2*n**2/3 - 176*n + 1048/3 = 0.
2, 262
Solve -2*u**5 + 54*u**4 + 946*u**3 + 282*u**2 - 25568*u - 24960 = 0.
-8, -1, 5, 39
Solve -2*x**5/7 + 138*x**4 - 6688*x**3/7 + 1632*x**2 = 0.
0, 3, 4, 476
Factor 2*c**3/7 - 18*c**2 - 3362*c/7 + 498.
2*(c - 83)*(c - 1)*(c + 21)/7
Factor -5*y**4 + 670*y**3 + 5*y**2 - 670*y.
-5*y*(y - 134)*(y - 1)*(y + 1)
Factor -t**5 + 980*t**4 - 253428*t**3 + 6530720*t**2 - 44408896*t.
-t*(t - 476)**2*(t - 14)**2
Factor -2*l**4/3 + 2578*l**3 - 71792*l**2 + 1504888*l/3.
-2*l*(l - 3839)*(l - 14)**2/3
Suppose -6*f**3 + 3330*f**2 - 135891*f/2 + 353241 = 0. Calculate f.
21/2, 534
Suppose b**4/4 - 14267*b**3/2 - 85626*b**2 - 342536*b - 456736 = 0. What is b?
-4, 28546
Let i**4 - 537*i**3 - 8205*i**2 - 41275*i - 69000 = 0. What is i?
-5, 552
Let s**3/4 - 57*s**2/4 + 333*s/2 - 378 = 0. What is s?
3, 12, 42
Solve -535*c**4/3 - 170*c**3 + 12865*c**2/3 - 6620*c + 300 = 0.
-6, 5/107, 2, 3
Solve -u**4/3 - 236*u**3/3 + u**2/3 + 236*u/3 = 0 for u.
-236, -1, 0, 1
Suppose -2*u**3/15 - 268*u**2/5 - 1584*u/5 = 0. Calculate u.
-396, -6, 0
Let 5*l**2 - 9165*l + 411010 = 0. What is l?
46, 1787
Solve -843*c**2 - 404631*c/2 + 1080 = 0 for c.
-240, 3/562
Factor -145*v**2 - 95*v + 7770.
-5*(v - 7)*(29*v + 222)
Factor -x**3/6 - 3573*x**2 - 38270387*x/2 + 459930916/3.
-(x - 8)*(x + 10723)**2/6
Factor -z**4/5 + 5993*z**3/5 + 2398*z**2.
-z**2*(z - 5995)*(z + 2)/5
Factor -2*z**3/5 - 254*z**2/5 - 5924*z/5 - 4704.
-2*(z + 5)*(z + 24)*(z + 98)/5
Solve -2*j**4/11 - 1532*j**3/11 + 4622*j**2/11 + 6152*j/11 = 0 for j.
-769, -1, 0, 4
Let 199*k**5/3 + 2918*k**4 + 47672*k**3/3 + 91856*k**2/3 + 19856*k - 608/3 = 0. What is k?
-38, -2, 2/199
Let -3*p**4/5 + 427*p**3/5 - 6239*p**2/5 - 708267*p/5 - 469278/5 = 0. What is p?
-31, -2/3, 87
Find k, given that 9*k**5 + 8331*k**4 - 19473*k**3 + 13917*k**2 - 2784*k = 0.
-928, 0, 1/3, 1
Factor -2*y**3 + 105088*y**2 - 1380541050*y + 2760661764.
-2*(y - 26271)**2*(y - 2)
Factor 4*d**2/7 + 17772*d/7 + 17768/7.
4*(d + 1)*(d + 4442)/7
Find x such that x**4 - 5046*x**3 - 35363*x**2 - 40440*x + 80848 = 0.
-4, 1, 5053
Let 2*x**4 - 5962*x**3 - 35826*x**2 - 53758*x - 23896 = 0. What is x?
-4, -1, 2987
Factor 4*h**2 - 17492*h.
4*h*(h - 4373)
Determine z so that -77462*z**2/5 - 14018*z/5 + 12/5 = 0.
-2/11, 3/3521
Factor -4*s**2/5 + 1516*s/5 - 31416/5.
-4*(s - 357)*(s - 22)/5
Let -6*t**5/13 + 5194*t**4/13 - 1153850*t**3/13 + 12844974*t**2/13 - 17469424*t/13 - 7293160/13 = 0. Calculate t.
-1/3, 2, 10, 427
Find g, given that 10*g**5 - 1268*g**4 + 12256*g**3 + 31372*g**2 + 20854*g + 3016 = 0.
-1, -1/5, 13, 116
Factor -5*r**3 - 563060*r**2 - 1126105*r - 563050.
-5*(r + 1)**2*(r + 112610)
Factor 4*n**3/5 + 68*n**2/5 - 176*n + 1456/5.
4*(n - 7)*(n - 2)*(n + 26)/5
Determine n, given that 2*n**2/5 - 742*n + 47892/5 = 0.
13, 1842
Find s, given that 4*s**3/5 + 168*s**2/5 - 2176*s/5 - 4992/5 = 0.
-52, -2, 12
Factor -2*i**2/3 + 254840*i/3 - 8117928200/3.
-2*(i - 63710)**2/3
Factor -q**4 + 123*q**3 - 1964*q**2 - 9888*q.
-q*(q - 103)*(q - 24)*(q + 4)
Let 69*x**3 + 40164*x**2 - 77100*x - 7008 = 0. Calculate x.
-584, -2/23, 2
Suppose 3*j**3/2 - 5775*j**2/2 - 46371*j/2 - 40593/2 = 0. Calculate j.
-7, -1, 1933
Factor 6*q**2 - 883*q/2 + 684.
(q - 72)*(12*q - 19)/2
Factor -5*a**2 + 11195*a + 11200.
-5*(a - 2240)*(a + 1)
Factor -3*k**5 + 1089*k**4 + 3285*k**3 + 3291*k**2 + 1098*k.
-3*k*(k - 366)*(k + 1)**3
Factor -2*d**2/7 + 3242*d/7 + 16560.
-2*(d - 1656)*(d + 35)/7
Determine y so that -2*y**5/11 + 8*y**4 - 76*y**3 + 2152*y**2/11 + 838*y/11 - 2240/11 = 0.
-1, 1, 5, 7, 32
Suppose -5*h**2/2 + 28362*h - 402201522/5 = 0. What is h?
28362/5
Determine n so that -30*n**4 - 9*n**3 + 477*n**2 + 354*n - 792 = 0.
-33/10, -2, 1, 4
Let -f**2 + 31343*f/3 + 10448/3 = 0. What is f?
-1/3, 10448
Factor -l**2/2 + 3009*l - 18045/2.
-(l - 6015)*(l - 3)/2
Determine y so that -y**4/5 + 1562*y**3/5 + 20463*y**2/5 + 3780*y = 0.
-12, -1, 0, 1575
Let -2*t**5/5 + 5716*t**4/5 - 17132*t**3/5 + 5704*t**2/5 + 17134*t/5 - 2284 = 0. What is t?
-1, 1, 2, 2855
Find g, given that -5*g**2 + 101470*g + 710535 = 0.
-7, 20301
Factor -2*k**2/7 + 544414*k/7 + 544416/7.
-2*(k - 272208)*(k + 1)/7
Suppose 4*q**5 + 204*q**4 - 4324*q**3 + 20004*q**2 - 26928*q = 0. What is q?
-68, 0, 3, 11
Solve 2*z**4/15 + 21824*z**3/15 - 4366*z**2 = 0.
-10915, 0, 3
Determine l, given that -2*l**3 + 74*l**2 + 70042*l + 69966 = 0.
-169, -1, 207
Factor x**4 + 111*x**3 + 215*x**2 - 327*x.
x*(x - 1)*(x + 3)*(x + 109)
Find k such that -2*k**2/7 + 66424*k/7 - 66422/7 = 0.
1, 33211
Factor -3*l**2 + 413112*l - 14221793712.
-3*(l - 68852)**2
Suppose -4*d**2 - 44872*d + 539040 = 0. Calculate d.
-11230, 12
Determine c, given that 5*c**5 + 315*c**4 - 5155*c**3 + 18165*c**2 + 5150*c - 18480 = 0.
-77, -1, 1, 6, 8
Determine z so that -4*z**4/5 + 2656*z**3/5 - 559828*z**2/5 + 38069688*z/5 = 0.
0, 173, 318
Factor -j**3/11 + 31*j**2 - 29904*j/11 + 141120/11.
-(j - 168)**2*(j - 5)/11
Factor -z**3/6 - 1757*z**2/2 + 14075*z/2 - 36953/6.
-(z - 7)*(z - 1)*(z + 5279)/6
Solve 71622*q**3 - 15952*q**2 + 8*q = 0.
0, 2/3979, 2/9
Let -18*q**4/5 + 59316*q**3/5 - 49278794*q**2/5 + 677444392*q/5 + 145356504 = 0. What is q?
-1, 15, 4922/3
Solve -3*b**3 + 6585*b**2 - 13161*b + 6579 = 0.
1, 2193
Factor -2*l**3/7 + 1236*l**2/7 + 4968*l/7 + 4976/7.
-2*(l - 622)*(l + 2)**2/7
Factor 2*a**3/5 + 10094*a**2/5 + 12751232*a/5 + 38162904/5.
2*(a + 3)*(a + 2522)**2/5
Factor 131*d**2/3 + 94*d.
d*(131*d + 282)/3
Factor k**2 - 481*k - 29480.
(k - 536)*(k + 55)
Solve 3*x**3 - 3873*x**2 - 7755*x - 3879 = 0.
-1, 1293
What is r in 3*r**3 - 11145*r**2 + 10334181*r + 31102929 = 0?
-3, 1859
Find d, given that -5*d**5 + 410*d**4 - 5100*d**3 + 23770*d**2 - 44575*d + 25500 = 0.
1, 3, 5, 68
Solve -u**2 + 89640*u - 89639 = 0.
1, 89639
Let 2*n**4/11 - 1888*n**3/11 + 458588*n**2/11 - 6145440*n/11 + 21190050/11 = 0. Calculate n.
7, 465
Factor -j**4 - 8853*j**3 - 26134050*j**2 - 25750697500*j - 77017125000.
-(j + 3)*(j + 2950)**3
Determine u, given that -2*u**5/5 + 5578*u**4/5 - 16698*u**3/5 - 50138*u**2/5 - 5572*u = 0.
-1, 0, 5, 2786
Factor -3*j**2/5 + 79614*j/5 + 637104/5.
-3*(j - 26546)*(j + 8)/5
Let -2*i**4/3 - 7828*i**3/3 - 7690946*i**2/3 - 20384112*i - 40684896 = 0. What is i?
-1953, -4
Find g, given that 2*g**5/5 + 38*g**4/5 + 12*g**3 - 28*g**2 - 62*g/5 + 102/5 = 0.
-17, -3, -1, 1
What is n in -3*n**2 + 200748*n + 200751 = 0?
-1, 66917
Factor -i**3/5 - 16*i**2/5 + 17*i/5.
-i*(i - 1)*(i + 17)/5
Solve -2*v**3/5 + 11138*v**2/5 - 44526*v/5 + 6678 = 0 for v.
1, 3, 5565
What is c in -4*c**2 - 20196*c + 182088 = 0?
-5058, 9
Solve 2*j**4/9 + 2956*j**3/9 + 23530*j**2/9 + 14672*j/9 - 13720/3 = 0.
-1470, -7, -2, 1
Suppose -8*m**3 - 22*m**2 + 90*m = 0. Calculate m.
-5, 0, 9/4
Factor -4*b**2/3 + 5956*b/3 + 17976.
-4*(b - 1498)*(b + 