, 5
Factor -u**2 + 340*u - 339.
-(u - 339)*(u - 1)
What is d in d**5/4 - 229*d**4/2 + 16326*d**3 - 533628*d**2 - 26217756*d - 191318760 = 0?
-18, -10, 162
Suppose -12*n**4 + 63*n**3 + 207*n**2 - 795*n - 1575 = 0. Calculate n.
-3, -7/4, 5
Find j such that 5*j**2 + 12175*j + 48620 = 0.
-2431, -4
Find b such that -3*b**3 + 2847*b**2 - 659520*b - 7603200 = 0.
-11, 480
Solve 4*l**2 - 8304*l - 1712340 = 0.
-189, 2265
Factor -g**3/2 - 2229*g**2/2 - 78983*g/2 - 76755/2.
-(g + 1)*(g + 35)*(g + 2193)/2
Factor -2*z**3 - 93*z**2 + 5394*z + 2720.
-(z - 34)*(z + 80)*(2*z + 1)
Factor -5*v**5 - 2010*v**4 - 6000*v**3 - 5990*v**2 - 1995*v.
-5*v*(v + 1)**3*(v + 399)
Solve -3*d**4/2 - 135*d**3/2 + 6936*d**2 - 71910*d - 1047600 = 0 for d.
-97, -8, 30
Factor 3*t**3/2 - 2109*t**2 - 38181*t/2 - 16980.
3*(t - 1415)*(t + 1)*(t + 8)/2
Factor 2*l**2/11 - 56596*l/11 - 56598/11.
2*(l - 28299)*(l + 1)/11
Suppose 2*y**4/3 + 484*y**3/3 + 478*y**2 = 0. What is y?
-239, -3, 0
Solve -75*b**4/4 - 14820*b**3 - 2700882*b**2 + 89927760*b - 690386700 = 0 for b.
-410, 74/5
Solve 3*g**3 + 433035*g**2 + 15626825784*g + 15626392752 = 0.
-72172, -1
Solve -5*s**2 - 4440*s + 13365 = 0.
-891, 3
Factor -4*x**2 + 704*x - 4732.
-4*(x - 169)*(x - 7)
Factor 3*h**3 - 7902*h**2 - 3*h + 7902.
3*(h - 2634)*(h - 1)*(h + 1)
Factor -2*v**3/21 - 5354*v**2/7 - 1534494*v + 32272578/7.
-2*(v - 3)*(v + 4017)**2/21
Suppose -2*c**2/9 - 5240*c/9 + 5242/9 = 0. What is c?
-2621, 1
Factor 227138*p**3 - 677370*p**2 - 12114*p - 54.
2*(p - 3)*(337*p + 3)**2
Factor 9*s**3 + 55*s**2 + 50*s.
s*(s + 5)*(9*s + 10)
Factor -f**3/5 - 7113*f**2/5 + 35586*f/5 - 28472/5.
-(f - 4)*(f - 1)*(f + 7118)/5
Factor 2*s**3 + 4398*s**2 + 21892*s - 105312.
2*(s - 3)*(s + 8)*(s + 2194)
Solve -4*j**3/7 - 604*j**2 - 552632*j/7 + 79552 = 0 for j.
-904, -154, 1
Factor 4*z**3 + 5064792*z**2 + 1603257375204*z.
4*z*(z + 633099)**2
Factor -11425*l**2 - 11435*l - 10.
-5*(l + 1)*(2285*l + 2)
What is q in -216*q**5 - 4140072*q**4 + 18*q**3 + 345008*q**2 + 38334*q = 0?
-19167, -1/6, 0, 1/3
Let 2*d**5/15 + 566*d**4/15 + 15642*d**3/5 + 919106*d**2/15 - 1062736*d/15 - 129032 = 0. Calculate d.
-127, -30, -1, 2
Factor 4*c**3 + 748*c**2 - 11616*c - 5366592.
4*(c - 77)*(c + 132)**2
Factor 3721*d**3/5 + 1049688*d**2/5 + 103221*d/5 + 2538/5.
(d + 282)*(61*d + 3)**2/5
Factor -4*g**4 - 208*g**3 - 2388*g**2 + 11016*g + 69984.
-4*(g - 6)*(g + 4)*(g + 27)**2
Factor -u**2/4 + 55*u/2 + 650.
-(u - 130)*(u + 20)/4
Suppose -x**3/2 - 73*x**2 + 2*x + 292 = 0. What is x?
-146, -2, 2
Factor -4*v**4 - 4864*v**3 - 1757184*v**2 - 169345024*v - 4848615424.
-4*(v + 64)**2*(v + 544)**2
Solve 5*q**2 - 912735*q - 912740 = 0.
-1, 182548
Factor -5*z**4/4 + 2645*z**3.
-5*z**3*(z - 2116)/4
Factor -h**2/7 + 613*h/7 - 1222/7.
-(h - 611)*(h - 2)/7
Let d**3 + 37307*d**2/2 + 86983602*d - 86992929/2 = 0. Calculate d.
-9327, 1/2
Determine b so that 5*b**3 + 180945*b**2 + 1635153075*b - 34418057625 = 0.
-18105, 21
Factor -2*w**4/9 - 28*w**3 - 8426*w**2/9 - 3416*w - 29768/9.
-2*(w + 2)**2*(w + 61)**2/9
Determine t so that -4*t**4 - 8*t**3 + 76*t**2 + 80*t = 0.
-5, -1, 0, 4
Determine d, given that -d**2 + 227*d + 15174 = 0.
-54, 281
Solve -2*n**3 + 194234*n**2 + 388476*n = 0.
-2, 0, 97119
Find n, given that -2*n**3 - 16152*n**2 - 16138*n + 96900 = 0.
-8075, -3, 2
Factor 3*r**3 - 546*r**2 + 24549*r + 25098.
3*(r - 94)*(r - 89)*(r + 1)
Let 20*j**5/3 + 982*j**4/3 - 1014*j**3 - 1294*j**2/3 + 3022*j/3 + 104 = 0. Calculate j.
-52, -1, -1/10, 1, 3
Factor -f**2 - 790*f - 61161.
-(f + 87)*(f + 703)
Determine c, given that 2*c**3/5 - 492404*c**2/5 + 492398*c/5 + 984804/5 = 0.
-1, 2, 246201
Factor 1315*g**3 + 5261*g**2/4 + g/4.
g*(g + 1)*(5260*g + 1)/4
Determine i, given that 27*i**5/5 - 606*i**4/5 + 576*i**3 - 864*i**2/5 - 10752*i/5 = 0.
-14/9, 0, 4, 16
Factor -4*b**2/5 + 63724*b/5.
-4*b*(b - 15931)/5
Determine a, given that a**3/3 + 49*a**2/3 - 6901*a/3 - 381565/3 = 0.
-67, 85
Let 2*s**2/3 - 86*s/3 + 920/3 = 0. Calculate s.
20, 23
Find x such that 3*x**3 + 29682*x**2 + 73477755*x + 293436300 = 0.
-4945, -4
Factor 3*z**3 - 3501*z**2 - 10542*z + 14040.
3*(z - 1170)*(z - 1)*(z + 4)
Factor -t**4 + 783*t**3 - 157506*t**2 + 1652852*t - 2681928.
-(t - 386)**2*(t - 9)*(t - 2)
Solve 5*b**3 - 889920*b**2 + 1779825*b - 889910 = 0.
1, 177982
Suppose 3*u**5 - 1098*u**4 + 102639*u**3 - 397476*u**2 + 393132*u = 0. Calculate u.
0, 2, 181
Factor -5*q**2 - 10350*q + 2443880.
-5*(q - 214)*(q + 2284)
Find c such that -c**5/10 + 227*c**4/10 - 1551*c**3/10 + 485*c**2/2 - 110*c = 0.
0, 1, 5, 220
Solve -2*u**4 + 28742*u**3 - 103334646*u**2 + 516069818*u - 412763912 = 0 for u.
1, 4, 7183
Find s, given that -26*s**5/11 + 172*s**4/11 - 96*s**3/11 = 0.
0, 8/13, 6
Factor q**2/8 - 25*q/4 - 42.
(q - 56)*(q + 6)/8
Factor 2*a**3/11 - 568*a**2/11 + 566*a/11.
2*a*(a - 283)*(a - 1)/11
Let -v**3/9 + 149*v**2/3 - 15640*v/3 - 687700/9 = 0. What is v?
-13, 230
Let 3*l**4/5 - 17514*l**3 + 852318648*l**2/5 - 2768610347598*l/5 + 24848519136741/5 = 0. What is l?
9, 9727
Solve 1372*i**4/3 - 11848200*i**3 - 10155824*i**2 - 8705056*i/3 - 276352 = 0.
-2/7, 25908
Factor 2*g**2/3 + 158608*g.
2*g*(g + 237912)/3
Factor -5*c**3 - 825875*c**2 - 34103888715*c - 34103062845.
-5*(c + 1)*(c + 82587)**2
Find h such that 8*h**4/9 - 14168*h**3/3 - 596518*h**2/9 - 188212*h/3 - 138502/9 = 0.
-13, -1/2, 5327
Factor n**2/3 - 586*n/3 + 36565/3.
(n - 515)*(n - 71)/3
Suppose 2*k**4 - 2*k**3 - 4592*k**2 + 86240*k = 0. What is k?
-55, 0, 28
Suppose -3*u**5 + 18*u**4 - 9*u**3 - 30*u**2 = 0. Calculate u.
-1, 0, 2, 5
Let 72773*v**4/5 - 143038*v**3/5 + 67761*v**2/5 + 500*v + 4/5 = 0. Calculate v.
-2/61, -2/1193, 1
Factor -3*t**3/2 + 3*t**2 + 255*t/2 + 231.
-3*(t - 11)*(t + 2)*(t + 7)/2
Suppose 18*r**5 + 46094*r**4 - 56396*r**3 - 81976*r**2 + 20496*r = 0. Calculate r.
-2562, -1, 0, 2/9, 2
Factor -n**3/5 + 22098*n**2/5 - 24411660*n - 48841000.
-(n - 11050)**2*(n + 2)/5
Solve -v**2/2 + 379*v/2 - 14795 = 0 for v.
110, 269
What is u in -16*u**3 - 5408*u**2 + 5420*u - 1356 = 0?
-339, 1/2
Factor -5*r**2/6 + 1040*r/3.
-5*r*(r - 416)/6
Suppose -2*c**2/3 - 23638*c/3 = 0. Calculate c.
-11819, 0
Let -4*o**4/5 + 46*o**3/3 - 1114*o**2/15 + 416*o/3 - 1352/15 = 0. What is o?
2, 13/6, 13
Let -27630*f**2 - 635493*f - 69 = 0. Calculate f.
-23, -1/9210
Factor 5445*z**3 + 58245*z**2 - 18025*z + 1375.
5*(z + 11)*(33*z - 5)**2
Factor -705*m**2 - 760*m + 4065.
-5*(m + 3)*(141*m - 271)
Factor 4*d**2 + 33764*d.
4*d*(d + 8441)
Solve -2*b**3/13 + 227280*b**2/13 - 496711698*b + 12913595044/13 = 0 for b.
2, 56819
Suppose -5*b**2 + 5850*b + 447120 = 0. Calculate b.
-72, 1242
Let -4*y**4/3 + 2572*y**3/3 + 6944*y**2 = 0. What is y?
-8, 0, 651
Let 45*j**3 - 34563*j**2/7 - 1368*j + 660/7 = 0. Calculate j.
-1/3, 2/35, 110
Factor -3*j**3 + 154*j**2 + 17439*j - 5830.
-(j - 106)*(j + 55)*(3*j - 1)
Determine g so that 3*g**4/4 - 3699*g**3/4 - 4638*g**2 - 5571*g = 0.
-3, -2, 0, 1238
Solve 5*u**3 + 1430*u**2 + 130525*u + 3703000 = 0.
-115, -56
Determine o, given that -3*o**4 + 657*o**3 + 36144*o**2 + 602880*o + 3280896 = 0.
-16, 267
Factor -5*q**2 - 2190*q + 15575.
-5*(q - 7)*(q + 445)
Solve 20*n**5 - 375*n**4 - 145*n**3 + 915*n**2 + 665*n = 0.
-1, 0, 7/4, 19
Determine s so that 21*s**4/2 - 2565*s**3 + 355041*s**2/2 - 2463852*s + 689526 = 0.
2/7, 18, 113
Factor 4*l**2 - 402656*l - 805328.
4*(l - 100666)*(l + 2)
Solve 4*n**5/11 - 134*n**4/11 - 328*n**3/11 + 3794*n**2/11 + 11544*n/11 + 7560/11 = 0 for n.
-9/2, -2, -1, 6, 35
Factor o**3 + 646*o**2/9 + 604*o - 1240/9.
(o + 10)*(o + 62)*(9*o - 2)/9
Let -16*z**5/5 + 118*z**4 - 2214*z**3/5 - 9326*z**2/5 + 9622*z/5 + 1344/5 = 0. Calculate z.
-3, -1/8, 1, 7, 32
Let -11*a**4 + 1441035*a**3 - 47195894039*a**2 + 55775215017*a - 8580762002 = 0. Calculate a.
2/11, 1, 65501
Determine x, given that -4*x**3 - 1936*x**2 + 3884*x - 1944 = 0.
-486, 1
Suppose -3*t**2 + 21147*t + 232980 = 0. Calculate t.
-11, 7060
Find b such that -5*b**4 - 70*b**3 - 215*b**2 - 150*b = 0.
-10, -3, -1, 0
Determine g so that g**5/2 - 319*g**4 + 49254*g**3 + 520956*g**2 + 653184*g - 3779136 = 0.
-6, 2, 324
Solve 2*r**3/7 - 2504*r**2/7 + 473352*r/7 + 210830400/7 = 0 for r.
-200, 726
Factor -b**4 + 897*b**3 - 301563*b**2 + 45035379*b - 2520830160.
-(b - 240)*(b - 219)**3
Solve -4*g**4 + 1368*g**3 + 11120*g