b - 1)*(b + 466)
Find s such that -s**5/4 + 19*s**4/2 - 391*s**3/4 + 121*s**2/2 + 1988*s - 1960 = 0.
-4, 1, 7, 14, 20
Factor -2*k**3 - 36*k**2 + 926*k + 960.
-2*(k - 15)*(k + 1)*(k + 32)
Solve 2*y**2/3 - 272*y + 47854/3 = 0.
71, 337
Let 5*t**5 + 1135*t**4 + 79870*t**3 + 1592090*t**2 - 3766275*t - 5279625 = 0. What is t?
-95, -39, -1, 3
Factor z**3 + 8338*z**2 + 16673*z + 8336.
(z + 1)**2*(z + 8336)
Factor 2*b**2 + 2274*b - 2276.
2*(b - 1)*(b + 1138)
Factor w**2 - 3651*w - 32940.
(w - 3660)*(w + 9)
Solve -2*n**5 - 240*n**4 - 686*n**3 + 1896*n**2 + 2776*n - 3744 = 0.
-117, -4, -2, 1, 2
Factor -j**4 - 1056*j**3 - 263412*j**2 + 8225392*j.
-j*(j - 28)*(j + 542)**2
Find w such that 2*w**4/13 - 190*w**3/13 + 574*w**2/13 + 1078*w = 0.
-7, 0, 11, 91
Determine u, given that -50*u**4/3 - 2410*u**3/3 - 27748*u**2/3 + 23368*u/3 - 1584 = 0.
-27, -22, 2/5
Suppose -2*w**5/11 + 298*w**4/11 - 586*w**3/11 - 298*w**2/11 + 588*w/11 = 0. What is w?
-1, 0, 1, 2, 147
Factor 5*g**2 - 91290*g + 416693205.
5*(g - 9129)**2
Determine l so that -3*l**2/4 + 161589*l/2 - 8703668307/4 = 0.
53863
Factor -4*f**2/9 - 119908*f/3 - 719432/9.
-4*(f + 2)*(f + 89929)/9
Factor t**4/2 + 31*t**3 + 681*t**2/2 - 4340*t + 9800.
(t - 4)**2*(t + 35)**2/2
Suppose -3*k**3/2 + 3627*k**2/4 - 75141*k/4 - 19239/2 = 0. Calculate k.
-1/2, 22, 583
Let 1278*d**4 - 107*d**3 - 18458*d**2 + 9608*d - 256 = 0. Calculate d.
-4, 2/71, 1/2, 32/9
Factor -45*u**2 + 12080*u + 6725.
-5*(u - 269)*(9*u + 5)
Factor -2*q**3/3 - 1972*q**2/3 - 5902*q/3 - 3932/3.
-2*(q + 1)*(q + 2)*(q + 983)/3
Suppose -j**3/8 - 2689*j**2/2 - 43011*j/8 - 4032 = 0. Calculate j.
-10752, -3, -1
Let -o**5/4 + 1665*o**4/2 - 8317*o**3/2 + 7483*o**2 - 23277*o/4 + 3325/2 = 0. What is o?
1, 2, 3325
Factor 75*h**3/4 - 158205*h**2/4 + 63273*h/4 - 6327/4.
3*(h - 2109)*(5*h - 1)**2/4
Factor -4*u**2 - 30260*u - 30256.
-4*(u + 1)*(u + 7564)
Factor -i**2/3 - 1617734*i/3 - 654265823689/3.
-(i + 808867)**2/3
Factor -2*u**2/17 + 18072*u/17 + 18074/17.
-2*(u - 9037)*(u + 1)/17
Let 5*p**5/2 - 1165*p**4 + 128355*p**3 + 1765090*p**2 - 12352715*p/2 + 4284075 = 0. Calculate p.
-15, 1, 2, 239
Factor -2*g**2 + 16428*g - 32848.
-2*(g - 8212)*(g - 2)
Factor -3*v**2 - 2478*v - 7407.
-3*(v + 3)*(v + 823)
Factor -15*p**3 + 663*p**2 - 4449*p + 3801.
-3*(p - 7)*(p - 1)*(5*p - 181)
Determine k, given that k**2/12 + 212193*k/2 + 135077607747/4 = 0.
-636579
Factor g**2/6 - 176599*g/3 + 31187206801/6.
(g - 176599)**2/6
Find c, given that -2*c**2/13 - 2352*c/13 + 84770/13 = 0.
-1211, 35
Solve 3*t**2 + 831522*t + 57619069707 = 0.
-138587
Factor -p**3/2 + 14*p**2 - 53*p/2 + 13.
-(p - 26)*(p - 1)**2/2
Let 4*n**3 - 33280*n**2 + 33276*n = 0. What is n?
0, 1, 8319
Solve 69*h**5/2 - 5241*h**4 - 5769*h**3 + 4782*h**2 + 11469*h/2 + 459 = 0.
-1, -2/23, 1, 153
Determine a so that -5*a**2 + 2030*a + 18675 = 0.
-9, 415
Solve 3*l**4/4 - 801*l**3/2 + 202167*l**2/4 + 794463*l - 844605 = 0 for l.
-15, 1, 274
Determine s so that -207*s**5 + 1032*s**4 - 606*s**3 - 1044*s**2 + 813*s + 12 = 0.
-1, -1/69, 1, 4
Factor -2*k**2/5 + 396*k/5 - 5824/5.
-2*(k - 182)*(k - 16)/5
Solve 4*r**2 - 88*r - 5916 = 0.
-29, 51
Suppose -2*o**5/3 - 14*o**4 + 394*o**3 + 10906*o**2/3 + 8940*o + 5712 = 0. What is o?
-34, -4, -3, -1, 21
Factor -2*a**5/7 + 108*a**4/7 + 1920*a**3/7 + 10100*a**2/7 + 17250*a/7.
-2*a*(a - 69)*(a + 5)**3/7
Suppose 4*o**4 - 6092*o**3 - 123228*o**2 - 326980*o - 209848 = 0. What is o?
-17, -2, -1, 1543
Determine k, given that -k**4/3 + 5818*k**3/3 - 17447*k**2/3 + 11630*k/3 = 0.
0, 1, 2, 5815
Let 273*j**5/2 + 795*j**4/2 - 3312*j**3 - 10632*j**2 + 960*j = 0. What is j?
-4, 0, 8/91, 5
Solve 5*z**2 - 45075*z = 0 for z.
0, 9015
Determine l, given that -l**4/2 - 95*l**3/4 - 10*l**2 + 335*l/4 + 141/2 = 0.
-47, -3/2, -1, 2
Factor 3*x**3/5 + 2448*x**2/5 - 24813*x/5 - 27258/5.
3*(x - 11)*(x + 1)*(x + 826)/5
Find u such that -u**2/2 + 6216*u - 12431/2 = 0.
1, 12431
Factor 2*d**3/7 + 1788*d**2/7 + 15858*d/7 - 63720/7.
2*(d - 3)*(d + 12)*(d + 885)/7
Solve 256*g**2 + 3036*g + 4760 = 0 for g.
-10, -119/64
Let -51*m**5/5 + 5043*m**4/5 + 3240*m**3 + 1836*m**2/5 = 0. Calculate m.
-3, -2/17, 0, 102
Suppose -3*j**2/2 - 34779*j/2 = 0. What is j?
-11593, 0
Find w such that -3*w**5/7 + 171*w**4/7 - 3630*w**3/7 + 35622*w**2/7 - 160095*w/7 + 38025 = 0.
5, 13, 21
Determine a so that 3*a**2/4 + 389*a/2 + 775/4 = 0.
-775/3, -1
Factor -45*p**3 + 222*p**2 - 224*p - 128.
-(3*p - 8)**2*(5*p + 2)
Suppose -3*t**4 - 1347*t**3 + 2745*t**2 + 17619*t + 13530 = 0. Calculate t.
-451, -2, -1, 5
Find n, given that -34*n**3/5 - 504*n**2/5 + 4086*n/5 - 6804/5 = 0.
-21, 3, 54/17
Factor -3*t**2/2 - 39765*t + 397725/2.
-3*(t - 5)*(t + 26515)/2
Factor 2*j**3 + 12622*j**2 + 302064*j + 1810656.
2*(j + 12)**2*(j + 6287)
Factor -4*g**2 + 7976424*g - 3976458739236.
-4*(g - 997053)**2
Factor 3*r**3/4 - 267*r**2/4 + 5553*r/4 - 14337/4.
3*(r - 59)*(r - 27)*(r - 3)/4
Factor 5*n**2 - 63605*n - 2040480.
5*(n - 12753)*(n + 32)
Find y such that y**2/4 + 113*y/2 + 4669/4 = 0.
-203, -23
Determine j, given that -5*j**3/3 - 7880*j**2/3 - 2003920*j/3 - 140185600/3 = 0.
-1280, -148
Determine c so that -4*c**2 - 172*c + 74880 = 0.
-160, 117
Find p, given that -3*p**3/4 - 4479*p**2/4 + 4488*p - 4491 = 0.
-1497, 2
Suppose b**5/11 + 15*b**4/11 - b**3/11 - 691*b**2/11 - 2352*b/11 - 196 = 0. What is b?
-11, -7, -2, 7
Factor -4*x**3 + 784*x**2 - 49588*x + 996072.
-4*(x - 77)**2*(x - 42)
Suppose -o**5 - 137*o**4 - 3328*o**3 - 31172*o**2 - 119872*o - 139520 = 0. Calculate o.
-109, -10, -8, -2
Find n such that n**2/3 - 382*n/3 - 11425 = 0.
-75, 457
What is z in 3*z**2 + 289419*z = 0?
-96473, 0
Solve -15*y**5/4 - 2211*y**4/4 - 82863*y**3/4 - 91833*y**2/4 + 362445*y/2 - 95922 = 0 for y.
-73, -4, 3/5, 2
Find g such that g**3/2 + 11*g**2/2 - 83*g + 140 = 0.
-20, 2, 7
Let 4*m**2 - 984*m + 2916 = 0. Calculate m.
3, 243
Solve 2*u**2/3 - 180*u + 28000/3 = 0.
70, 200
Determine l, given that -l**3 - 2367*l**2 + 91029*l - 868205 = 0.
-2405, 19
Suppose 2*c**2 + 112336*c + 224664 = 0. What is c?
-56166, -2
Find j such that -2*j**2 - 4000*j + 93058 = 0.
-2023, 23
Factor a**3/6 + 767*a**2/6 + 3055*a/6 + 763/2.
(a + 1)*(a + 3)*(a + 763)/6
Factor x**2/2 + 187*x/2 + 1445.
(x + 17)*(x + 170)/2
Find p, given that 3*p**5/2 - 75*p**4 - 435*p**3 + 1230*p**2 + 867*p/2 - 1155 = 0.
-7, -1, 1, 2, 55
Solve 21168*h**2 - 42840*h + 21675 = 0.
85/84
Suppose -2*y**5 - 623*y**4 - 49563*y**3 - 158228*y**2 + 618772*y + 1992144 = 0. What is y?
-154, -4, -3, 7/2
Solve b**3/5 + 572*b**2/5 + 14900*b - 2131296/5 = 0 for b.
-298, 24
Factor -o**3/3 - 3709*o**2/3 - 1236*o.
-o*(o + 1)*(o + 3708)/3
Let -3*o**4/5 - 6*o**3/5 + 1389*o**2/5 - 6708*o/5 - 48672/5 = 0. What is o?
-24, -4, 13
Factor 2*y**2/3 - 11392*y/3 + 16222208/3.
2*(y - 2848)**2/3
Find a, given that -2*a**4/13 - 652*a**3/13 + 1322*a**2/13 + 3268*a/13 - 3936/13 = 0.
-328, -2, 1, 3
Determine r, given that -14*r**5/9 - 21472*r**4/9 - 58208*r**3/9 - 45932*r**2/9 - 3058*r/9 + 6124/9 = 0.
-1531, -1, 2/7
Suppose -6*t**2/5 - 10686*t/5 + 359172/5 = 0. Calculate t.
-1814, 33
Determine y so that -4*y**3 - 237520*y**2 - 3525984400*y = 0.
-29690, 0
Solve -25*r**3 + 345*r**2 + 2310*r + 3040 = 0.
-16/5, -2, 19
Suppose -2*s**4/9 - 2*s**3/3 + 2890*s**2/9 + 10250*s/3 - 350000/9 = 0. Calculate s.
-25, 7, 40
Factor -4*k**2 + 142584*k - 142580.
-4*(k - 35645)*(k - 1)
Let 2*n**2/3 + 3098*n/3 + 10260 = 0. What is n?
-1539, -10
Solve 3*p**4 - 1254*p**3 + 96999*p**2 - 95748*p = 0.
0, 1, 101, 316
Determine c so that -2*c**5/19 + 3640*c**4/19 - 1645226*c**3/19 - 10002828*c**2/19 = 0.
-6, 0, 913
Find a such that -a**4 - 2115*a**3 - 33508*a**2 + 159444*a - 167920 = 0.
-2099, -20, 2
Solve o**3 + 107*o**2 + 706*o + 600 = 0.
-100, -6, -1
Determine i, given that 2*i**2/13 + 1978712*i/13 + 489412647368/13 = 0.
-494678
Let 2*p**5/7 + 752*p**4/7 - 19536*p**3/7 - 135104*p**2/7 - 282080*p/7 - 192000/7 = 0. What is p?
-400, -2, 30
Let 2*h**4/13 + 86*h**3/13 + 128*h**2/13 - 8136*h/13 - 2880 = 0. Calculate h.
-39, -8, -6, 10
Solve -2*b**2/9 + 4936*b/9 + 6592/3 = 0.
-4, 2472
Solve 2*f**2/3 - 5066*f/3 - 8460 = 0 for f.
-5, 2538
Factor s**2 + 257*s - 17160.
(s - 55)*(s + 312)
What is w in 3*w**3/2 + 77349*w**2/2 + 116013*w + 77340 = 0?
-25780, -2, -1
Suppose -25*f**5/2 - 1145*f**4/4 + 2775*f