*2 - 1236*a + 1512.
4*(a - 3)*(a - 2)*(a + 63)
Solve -p**2/2 + 165*p + 332 = 0 for p.
-2, 332
Solve -2*z**2/11 - 578*z/11 + 175380/11 = 0 for z.
-474, 185
Factor 3*p**3 - 573*p**2 - 9936*p.
3*p*(p - 207)*(p + 16)
What is k in 39*k**4 - 597*k**3 + 2028*k**2 - 1980*k = 0?
0, 2, 30/13, 11
Factor 3*b**2/4 + 11367*b/2 + 43069563/4.
3*(b + 3789)**2/4
Solve 54*q**4 + 492408*q**3 + 6722130*q**2 + 24038000*q + 7284000 = 0.
-9105, -20/3, -1/3
Factor -2*m**2 - 17490*m - 34972.
-2*(m + 2)*(m + 8743)
Suppose -2*h**5/5 + 1662*h**4/5 - 312622*h**3/5 - 13815158*h**2/5 - 26685792*h/5 - 2636984 = 0. Calculate h.
-35, -1, 434
Determine m so that 2*m**2 + 194*m - 8908 = 0.
-131, 34
Determine q, given that -2*q**3 - 71834*q**2 - 861792*q - 2585160 = 0.
-35905, -6
Determine r so that -4*r**5/5 - 792*r**4/5 + 12588*r**3/5 - 8144*r**2 + 37488*r/5 = 0.
-213, 0, 2, 11
Let x**3/2 + 348*x**2 + 118989*x/2 - 369603 = 0. What is x?
-351, 6
Solve -4*a**5/7 + 45048*a**4/7 - 180140*a**3/7 + 135080*a**2/7 + 180144*a/7 - 180128/7 = 0.
-1, 1, 2, 11258
Find j such that -2*j**2/17 + 400*j/17 - 1568/17 = 0.
4, 196
Factor -4*a**2 - 172*a + 21560.
-4*(a - 55)*(a + 98)
Let -4*n**3/5 + 1104*n**2 + 61164*n/5 + 11128 = 0. Calculate n.
-10, -1, 1391
Factor 2523*a**3/2 - 1804293*a**2/2 + 124416*a - 4290.
3*(a - 715)*(29*a - 2)**2/2
Let 3*h**3 + 4731*h**2 - 9474*h = 0. What is h?
-1579, 0, 2
Solve -3*j**2/5 + 382314*j/5 - 12180332883/5 = 0 for j.
63719
Factor -3*a**4 - 252*a**3 + 3045*a**2 - 8550*a.
-3*a*(a - 6)*(a - 5)*(a + 95)
Let 3*c**5/5 + 642*c**4/5 + 9072*c**3 + 1026432*c**2/5 - 2239488*c/5 = 0. Calculate c.
-72, 0, 2
Suppose 48*g**5 + 8265240*g**4 + 12397755*g**3 + 516555*g**2 - 3099435*g + 516573 = 0. Calculate g.
-172191, -1, 1/4
Let 2*p**3/13 - 8*p**2/13 - 134*p/13 + 140/13 = 0. Calculate p.
-7, 1, 10
Factor 1203*q**4/8 + 297*q**3 + 1143*q**2/8 - 15*q/4.
3*q*(q + 1)**2*(401*q - 10)/8
Let -2*c**4 - 120*c**3 - 1702*c**2 - 4080*c = 0. Calculate c.
-40, -17, -3, 0
Let 15*v**5/8 - 9*v**4 - 7917*v**3/8 - 4659*v**2/4 + 594*v + 780 = 0. What is v?
-20, -1, 4/5, 26
Find u, given that 2*u**3/3 - 423268*u**2/3 + 22394474978*u/3 = 0.
0, 105817
Factor -d**2/3 + 8542*d/3 - 17080/3.
-(d - 8540)*(d - 2)/3
Factor 3*j**2 - 4035*j + 145188.
3*(j - 1308)*(j - 37)
Find a, given that a**5/2 + 113*a**4/2 - 1099*a**3/2 - 113*a**2/2 + 549*a = 0.
-122, -1, 0, 1, 9
Factor -11*o**2/2 - 70*o + 98.
-(o + 14)*(11*o - 14)/2
Let 8*r**5 - 146*r**4 - 644*r**3 - 358*r**2 + 132*r = 0. Calculate r.
-3, -1, 0, 1/4, 22
Factor 5*h**2 - 42245*h - 2253030.
5*(h - 8502)*(h + 53)
Factor 125*a**4 + 492525*a**3 + 590910*a**2 + 236348*a + 31512.
(a + 3939)*(5*a + 2)**3
Factor -s**2/3 - 2530*s/3 + 71624/3.
-(s - 28)*(s + 2558)/3
Factor -3*h**3/5 + 1041*h**2 - 20784*h/5 + 20772/5.
-3*(h - 1731)*(h - 2)**2/5
What is s in 3*s**4 - 1968*s**3 + 11700*s**2 = 0?
0, 6, 650
Solve -f**2/2 + 31*f/2 + 6783 = 0 for f.
-102, 133
Factor -5*s**2 - 4520*s - 670395.
-5*(s + 187)*(s + 717)
Let -5*p**4 - 8980*p**3 - 4023010*p**2 + 8108980*p + 12123015 = 0. What is p?
-899, -1, 3
Let 2*x**4/23 - 2588*x**3/23 + 1162802*x**2/23 - 210652848*x/23 + 13250617632/23 = 0. What is x?
171, 476
Factor 2*w**4 - 70*w**3 + 622*w**2 - 1610*w.
2*w*(w - 23)*(w - 7)*(w - 5)
Determine z, given that -3*z**3 + 8634*z**2 + 25929*z = 0.
-3, 0, 2881
Let j**2/2 - 144*j - 30530 = 0. Calculate j.
-142, 430
Suppose 2*l**3/5 + 644*l**2/5 + 10496*l + 20480 = 0. Calculate l.
-160, -2
Let 3*b**2 + 104652*b + 912670092 = 0. What is b?
-17442
Factor -5*b**4 - 750*b**3 - 2215*b**2 - 1470*b.
-5*b*(b + 1)*(b + 2)*(b + 147)
Find r such that 10*r**2/9 + 92854*r/9 + 12380/3 = 0.
-9285, -2/5
Suppose 3*m**3 - 1542*m**2 + 260100*m - 14445000 = 0. Calculate m.
150, 214
Suppose 5*q**2/2 + 2045*q + 374325/2 = 0. Calculate q.
-713, -105
Suppose -p**4/2 + 69*p**3 + 1309*p**2/2 + 1029*p = 0. Calculate p.
-7, -2, 0, 147
Factor -b**3 - 130*b**2 + 131*b.
-b*(b - 1)*(b + 131)
Determine a so that 4*a**2 - 38360*a + 91968100 = 0.
4795
Determine b so that 15*b**4/4 + 243*b**3/2 + 1497*b**2/4 + 261*b/2 = 0.
-29, -3, -2/5, 0
Factor c**4/3 - 1620*c**3 + 32300*c**2 - 484000*c/3.
c*(c - 4840)*(c - 10)**2/3
Determine m so that -5*m**2 - 60*m + 6300 = 0.
-42, 30
Determine y, given that 16*y**4/7 + 300*y**3/7 - 2426*y**2 - 366600*y/7 - 90584/7 = 0.
-26, -1/4, 67/2
Find l such that -16384*l**4 + 1827840*l**3 - 67972800*l**2 + 842579500*l = 0.
0, 595/16
Find u, given that 13*u**4/6 - 46*u**3/3 + 41*u**2/6 + 205*u/3 + 44 = 0.
-1, 4, 66/13
Solve -2*v**2/5 + 10000*v - 62500000 = 0.
12500
Factor -2*q**2/15 - 10*q/3 - 56/5.
-2*(q + 4)*(q + 21)/15
Determine x so that -x**5 - 27*x**4 + 59*x**3 + 27*x**2 - 58*x = 0.
-29, -1, 0, 1, 2
Solve 2*b**5 + 6*b**4 - 486*b**3 - 1934*b**2 - 468*b + 2880 = 0.
-15, -3, -2, 1, 16
Solve -2*a**3 - 40*a**2 + 8246*a - 157604 = 0.
-82, 31
Suppose 4*i**3 - 1037*i**2 - 2885*i + 786 = 0. What is i?
-3, 1/4, 262
Determine x so that 2*x**5/5 - 98*x**4/5 - 260*x**3 - 240*x**2 = 0.
-10, -1, 0, 60
What is l in -4*l**2 - 277396*l = 0?
-69349, 0
Let -10*b**3 - 2065*b**2 + 3130*b + 2080 = 0. Calculate b.
-208, -1/2, 2
Determine s, given that -35*s**4 + 645*s**3 - 2940*s**2 + 1180*s + 4800 = 0.
-1, 2, 6, 80/7
Let -h**4/5 - 62*h**3/5 + 1039*h**2/5 + 4868*h/5 + 1020 = 0. What is h?
-75, -2, 17
Suppose -3*a**5 - 54*a**4 - 207*a**3 + 156*a**2 + 540*a - 432 = 0. Calculate a.
-12, -6, -2, 1
Find z, given that -4*z**3 - 308*z**2 + 3380*z - 8700 = 0.
-87, 5
Solve 2*r**4 - 360*r**3 + 2952*r**2 + 1196992*r + 21387264 = 0 for r.
-32, -24, 118
Factor 3*n**3/4 + 3183*n**2/2 - 19119*n/4 + 6375/2.
3*(n - 2)*(n - 1)*(n + 2125)/4
Let 2*f**4/11 - 60*f**3/11 + 158*f**2/11 + 1500*f/11 - 5200/11 = 0. What is f?
-5, 4, 5, 26
Factor 2*s**2 - 7130*s + 184028.
2*(s - 3539)*(s - 26)
Factor -p**5 + 891*p**4 + 57766*p**3 + 1247560*p**2 + 9895200*p + 15248000.
-(p - 953)*(p + 2)*(p + 20)**3
Let b**4/2 + 169*b**3/2 - 1177*b**2 + 1092*b = 0. Calculate b.
-182, 0, 1, 12
Factor 4*p**2 + 1616*p + 124012.
4*(p + 103)*(p + 301)
Factor 3*h**3 + 1503*h**2 - 82803*h - 84303.
3*(h - 51)*(h + 1)*(h + 551)
Factor 3*p**3/5 - 2238*p**2/5 - 11307*p/5 + 31542/5.
3*(p - 751)*(p - 2)*(p + 7)/5
Factor 2*k**3/7 - 216*k**2 + 2554*k - 16368/7.
2*(k - 744)*(k - 11)*(k - 1)/7
Find s, given that -2*s**2/3 - 2423296*s/3 - 734045437952/3 = 0.
-605824
Determine j, given that 18*j**4/7 + 39*j**3 - 516*j**2/7 - 4764*j/7 - 5568/7 = 0.
-16, -2, 29/6
Find o such that 3*o**5/5 - 169*o**4 + 23401*o**3/5 - 77887*o**2/5 + 82436*o/5 - 27108/5 = 0.
2/3, 1, 2, 27, 251
Solve -r**5/4 - 60*r**4 - 1619*r**3/4 + 743*r**2 + 10332*r + 18640 = 0 for r.
-233, -4, 5
Let -l**2 + 92628*l - 370496 = 0. Calculate l.
4, 92624
Factor -5*i**3 + 1855*i**2 + 46680*i + 284400.
-5*(i - 395)*(i + 12)**2
Factor -2*d**2/3 - 141124*d/3 - 2489497922/3.
-2*(d + 35281)**2/3
Solve c**2/7 - 367*c/7 + 156 = 0 for c.
3, 364
What is i in i**2 - 3429*i - 657202 = 0?
-182, 3611
Let 5*s**5 + 1580*s**4 + 123200*s**3 - 260730*s**2 - 622485*s + 758430 = 0. What is s?
-159, -2, 1, 3
Find w, given that w**3/4 + 95*w**2/4 + 311*w/2 + 132 = 0.
-88, -6, -1
Factor -5*s**2 - 2000*s - 199875.
-5*(s + 195)*(s + 205)
Factor -2*s**3/7 + 16*s**2 + 1688*s/7 - 544.
-2*(s - 68)*(s - 2)*(s + 14)/7
Factor -2*o**2 - 10566*o.
-2*o*(o + 5283)
Find w such that -3*w**3/4 - 30381*w**2/2 + 121533*w/4 - 15192 = 0.
-20256, 1
Solve 268*m**2 + 288*m = 0 for m.
-72/67, 0
Suppose p**2 + 2008*p + 1008016 = 0. Calculate p.
-1004
Factor -2*t**2 - 100023*t/2 + 12503.
-(t + 25006)*(4*t - 1)/2
Factor 2*o**3/3 + 2*o**2 - 1748*o/3 + 1152.
2*(o - 27)*(o - 2)*(o + 32)/3
Factor -t**3/8 - 100*t**2 - 7137*t/8 - 7119/4.
-(t + 3)*(t + 6)*(t + 791)/8
Solve 3*k**3/4 + 14111*k**2/4 - 51829*k/2 - 18844 = 0.
-4711, -2/3, 8
What is p in p**5/7 + 17*p**4/7 - 103*p**3/7 + 151*p**2/7 - 66*p/7 = 0?
-22, 0, 1, 3
Solve 3*v**4/2 + 39*v**3/2 - 570*v**2 + 3438*v - 6264 = 0 for v.
-29, 4, 6
Factor 2*u**2/11 + 328*u/11 + 280.
2*(u + 10)*(u + 154)/11
Factor -2*h**3/25 - 10486*h**2/5 - 104854*h/25 - 52426/25.
-2*(h + 1)**2*(h + 26213)/25
Let -3*a**3 + 48297*a**2 + 144930*a - 193224 = 0. Calculate a.
-4, 1, 16102
Let -3*s**3/2 + 1146*s**2 - 101235*s/2 + 49473 = 0. Calculate s.
1, 46, 717
Let b**5/3 - 22*b**4 - 49*b**3 + 736*b**2/3 + 272*b = 0. What is b?
-4, -1, 0, 3, 6