5)
Factor 4*h**2 + 324*h - 15640.
4*(h - 34)*(h + 115)
Let -9*r**3/4 - 843*r**2 + 18225*r/4 - 1425 = 0. Calculate r.
-380, 1/3, 5
Let h**3/2 + 133*h**2/2 + 547*h - 1364 = 0. What is h?
-124, -11, 2
What is o in o**2/5 + 199*o/5 - 2982/5 = 0?
-213, 14
Suppose -4*z**2/5 - 14332*z + 143336/5 = 0. What is z?
-17917, 2
Factor 5*r**3 - 280*r**2 + 265*r + 550.
5*(r - 55)*(r - 2)*(r + 1)
Factor 4*f**3 + 29332*f**2 + 53136704*f - 2339431168.
4*(f - 43)*(f + 3688)**2
What is d in -5*d**5 + 915*d**4 - 42315*d**3 + 41405*d**2 = 0?
0, 1, 91
Suppose -3*w**5 - 48*w**4 + 1581*w**3 + 12498*w**2 - 276276*w + 490776 = 0. Calculate w.
-22, 2, 13
Solve -f**5 + 18*f**4 + 115*f**3 - 1748*f**2 + 5136*f - 3520 = 0 for f.
-11, 1, 4, 20
Factor 2*m**3/17 + 964*m**2/17 - 164360*m/17 + 6095600/17.
2*(m - 70)**2*(m + 622)/17
Suppose 5*k**3 - 2530*k**2 + 129005*k + 409920 = 0. Calculate k.
-3, 61, 448
Let 2*j**2/5 + 93266*j/5 - 93268/5 = 0. What is j?
-46634, 1
Suppose 16*c**5 + 4356*c**4 + 296998*c**3 + 66918*c**2 - 479264*c + 110976 = 0. What is c?
-136, -3/2, 1/4, 1
Determine y, given that -y**3/2 + 205*y**2/2 + 18025*y/2 + 336875/2 = 0.
-35, 275
Factor -v**3/2 + 9283*v**2 - 18565*v/2.
-v*(v - 18565)*(v - 1)/2
Solve -2*q**5/7 + 30*q**4/7 + 566*q**3/7 - 6142*q**2/7 + 10476*q/7 - 704 = 0 for q.
-16, 1, 7, 22
Factor -k**3/7 + 22*k**2/7 + 5504*k/7.
-k*(k - 86)*(k + 64)/7
Find l, given that -l**4 - 72*l**3 + 499*l**2 + 2382*l - 2808 = 0.
-78, -4, 1, 9
Solve 2*h**3/5 - 71304*h**2/5 + 127077984*h + 2542700672/5 = 0 for h.
-4, 17828
Factor 5*d**2 - 38330*d + 229800.
5*(d - 7660)*(d - 6)
What is s in -4*s**5/5 - 3834*s**4/5 - 981074*s**3/5 - 29257608*s**2/5 + 45610488*s/5 - 15367968/5 = 0?
-462, -36, 1/2, 1
What is g in 2*g**4/5 + 86*g**3 + 1984*g**2 - 20472*g + 161568/5 = 0?
-187, -36, 2, 6
Find n such that -815*n**4 + 2435*n**3/3 + 9790*n**2/3 - 9740*n/3 - 40/3 = 0.
-2, -2/489, 1, 2
Suppose 3*f**5 + 1368*f**4 - 21*f**3 - 9594*f**2 - 8208*f = 0. Calculate f.
-456, -2, -1, 0, 3
Factor -2*s**2/5 - 668*s/5 - 55266/5.
-2*(s + 151)*(s + 183)/5
Factor -3*c**2/2 + 3903*c + 133569/2.
-3*(c - 2619)*(c + 17)/2
Let 7*q**4 + 92*q**3 + 113*q**2 - 572*q = 0. Calculate q.
-11, -4, 0, 13/7
Solve 22*a**2/3 + 3962*a/15 = 0 for a.
-1981/55, 0
Let -5*r**2 + 8750*r - 43625 = 0. Calculate r.
5, 1745
Factor 3*n**2 + 56610*n + 267057675.
3*(n + 9435)**2
Let -12*o**4 - 139664*o**3 - 791128*o**2 - 977136*o + 418788 = 0. Calculate o.
-11633, -3, 1/3
Determine a so that -5*a**5/6 - 485*a**4/6 - 3595*a**3/3 - 15680*a**2/3 - 6080*a/3 + 25600/3 = 0.
-80, -8, -2, 1
What is c in -c**4 + 2758*c**3/3 + 1853*c**2/3 - 11968*c/3 + 7360/3 = 0?
-8/3, 1, 920
Let 5*s**3 - 453605*s**2 + 453600*s = 0. Calculate s.
0, 1, 90720
Factor 2*j**2/3 - 281920*j/3.
2*j*(j - 140960)/3
Solve -2*s**3 - 1242*s**2 - 61126*s + 62370 = 0.
-567, -55, 1
Factor -5*v**2 + 266830*v - 3559912445.
-5*(v - 26683)**2
Factor -x**2/3 + 618380*x/3 - 95598456100/3.
-(x - 309190)**2/3
Determine i so that i**5/3 + 6*i**4 + 52*i**3/3 - 88*i**2 - 224*i/3 + 256 = 0.
-12, -8, -2, 2
Solve -30*t**4 + 1154379*t**3/2 + 5022873*t**2/2 - 1818573*t + 288660 = 0.
-5, 1/4, 2/5, 19244
Factor -c**2/8 - 3491*c/2 + 13965/8.
-(c - 1)*(c + 13965)/8
Solve 4*o**5/3 + 490*o**4/3 - 104*o**3 - 8230*o**2/3 - 13816*o/3 - 1640 = 0 for o.
-123, -2, -1/2, 5
Factor i**3 - 383*i**2 - 1545*i - 1161.
(i - 387)*(i + 1)*(i + 3)
Solve -r**2/3 + 1144*r/3 + 1145/3 = 0.
-1, 1145
Find f such that 867*f**4/2 + 9945*f**3/2 - 16731*f**2/2 + 6591*f/2 = 0.
-13, 0, 13/17
Find d, given that -2*d**5/9 + 110*d**4/3 - 1550*d**3/9 - 2750*d**2/3 + 40000*d/9 = 0.
-5, 0, 5, 160
Factor -f**3/6 + 299*f**2/6 - 883*f/3 + 1172/3.
-(f - 293)*(f - 4)*(f - 2)/6
Solve -4*b**4/9 - 172*b**3 + 7752*b**2 - 108672*b + 494208 = 0.
-429, 12, 18
Factor 588*v**3 + 3708180*v**2 + 1589139*v + 170262.
3*(v + 6306)*(14*v + 3)**2
Find i such that -5*i**4 + 315*i**3 + 360*i**2 - 2500*i - 3840 = 0.
-2, 3, 64
Let g**3 + 98*g**2 - 2176*g - 10208 = 0. Calculate g.
-116, -4, 22
Suppose 157*l**2 + 11149*l + 142 = 0. Calculate l.
-71, -2/157
Determine b, given that 125*b**4 - 562025*b**3 + 674295*b**2 - 202275*b = 0.
0, 3/5, 4495
Solve 5*f**2 - 155310*f - 621320 = 0 for f.
-4, 31066
Suppose -2*q**3/9 - 275204*q**2/9 - 9467155202*q/9 = 0. Calculate q.
-68801, 0
Factor -4*p**5 - 12*p**4 + 744*p**3 - 5216*p**2 + 14208*p - 13824.
-4*(p - 4)**3*(p - 3)*(p + 18)
Factor h**2/5 + 26586*h/5 + 176703849/5.
(h + 13293)**2/5
Solve 36*m**3 + 4598036*m**2 + 5619776*m + 1021776 = 0 for m.
-127722, -1, -2/9
Suppose -i**3/3 + 2078*i**2/3 - 1139161*i/3 + 20361620 = 0. Calculate i.
60, 1009
Let -3*w**4 - 2589*w**3 + 7785*w**2 - 7791*w + 2598 = 0. Calculate w.
-866, 1
Solve -2*k**4 - 120*k**3 - 2312*k**2 - 12480*k + 35200 = 0.
-22, -20, 2
Factor 6*w**3 - 1300*w**2 - 8422*w - 11596.
2*(w - 223)*(w + 2)*(3*w + 13)
Find c, given that c**3/7 + 81*c**2 + 14964*c/7 - 9856 = 0.
-539, -32, 4
Determine z, given that z**5/4 + z**4/4 - 7*z**3/4 - z**2/4 + 3*z/2 = 0.
-3, -1, 0, 1, 2
Factor 4*i**3 + 4272*i**2 + 174132*i + 1809864.
4*(i + 21)**2*(i + 1026)
Find b, given that -4*b**4 - 96*b**3 - 456*b**2 + 640*b + 5100 = 0.
-17, -5, 3
Factor 3*l**3 + 5823*l**2 - 23331*l + 17505.
3*(l - 3)*(l - 1)*(l + 1945)
Find p such that 3*p**3 + 1950*p**2 + 310275*p + 14553000 = 0.
-440, -105
Let 4*c**5 + 232*c**4 + 3056*c**3 - 4504*c**2 - 17268*c - 9936 = 0. What is c?
-36, -23, -1, 3
Factor -4*i**2 + 205864*i - 2648749156.
-4*(i - 25733)**2
Suppose z**2/2 - 285*z/2 - 83808 = 0. Calculate z.
-291, 576
Factor 7*r**3/3 - 153*r**2 - 466*r/3.
r*(r + 1)*(7*r - 466)/3
Factor o**3/4 + 7797*o**2/4 + 3812214*o + 49229908.
(o + 13)*(o + 3892)**2/4
Let -12000*p**3 - 5325*p**2 - 690*p - 21 = 0. What is p?
-1/5, -7/160
Factor l**3 + 423*l**2 - 7857*l + 35721.
(l - 9)**2*(l + 441)
Factor -2*w**2 - 429352*w - 23042892488.
-2*(w + 107338)**2
Factor -i**3/2 - 2059*i**2/2 - 3085*i - 2056.
-(i + 1)*(i + 2)*(i + 2056)/2
Factor 4*p**4 + 6556*p**3 - 19864*p**2 - 262720*p.
4*p*(p - 8)*(p + 5)*(p + 1642)
Factor l**3 - 19591*l**2 - l + 19591.
(l - 19591)*(l - 1)*(l + 1)
Factor 5*i**2/4 + 12665*i/4 - 342645/2.
5*(i - 53)*(i + 2586)/4
Factor 2*x**2/15 - 385928*x/15 + 771848/15.
2*(x - 192962)*(x - 2)/15
Factor -f**3/4 + 345*f**2/2 - 155433*f/4 + 2835929.
-(f - 263)**2*(f - 164)/4
Suppose 2*t**3/5 - 6902*t**2/5 - 131824*t/5 - 24984 = 0. What is t?
-18, -1, 3470
Find o such that -35*o**5 - 11855*o**4 + 27260*o**3 - 6820*o**2 = 0.
-341, 0, 2/7, 2
Solve 3*l**3/5 + 14394*l**2/5 + 115008*l/5 + 45984 = 0 for l.
-4790, -4
Factor -u**2 + 27536*u - 189557824.
-(u - 13768)**2
Determine x, given that x**3/4 - 21903*x**2/4 - 131445*x/4 - 197181/4 = 0.
-3, 21909
Factor 32*y**5 - 9360*y**4 - 4686*y**3 - 586*y**2.
2*y**2*(y - 293)*(4*y + 1)**2
Factor -5*c**2 + 535*c + 38220.
-5*(c - 156)*(c + 49)
What is u in -5*u**4 + 21295*u**3 - 42575*u**2 + 21285*u = 0?
0, 1, 4257
Solve 2*n**4/5 + 232*n**3/5 + 3666*n**2/5 + 13628*n/5 + 10192/5 = 0 for n.
-98, -13, -4, -1
Factor -3*l**3 + 1984*l**2 + 5315*l - 1992.
-(l - 664)*(l + 3)*(3*l - 1)
Determine g, given that -g**5/3 + 902*g**4/3 + 16448*g**3/3 + 102770*g**2/3 + 248225*g/3 + 161000/3 = 0.
-7, -5, -1, 920
Solve -9*a**4/4 + 91*a**3/2 + 2771*a**2 - 18438*a + 3960 = 0 for a.
-30, 2/9, 6, 44
Factor u**2 + 564*u + 6624.
(u + 12)*(u + 552)
Solve 4140*q**4 + 41404*q**3 + 136660*q**2 + 149172*q + 144 = 0.
-4, -3, -1/1035
What is l in 4*l**3 + 239460*l**2 + 957792*l + 957776 = 0?
-59861, -2
Factor -b**2 - 131*b + 14342.
-(b - 71)*(b + 202)
Factor -2*t**3/15 - 35498*t**2/5 - 472522752*t/5 + 1417674752/15.
-2*(t - 1)*(t + 26624)**2/15
Factor -h**4/4 + 6518*h**3 - 113287185*h**2/2 + 164058720732*h + 656461483371/4.
-(h - 8691)**3*(h + 1)/4
Find b such that 5*b**2 - 5375*b = 0.
0, 1075
Solve -1205*r**3 + 20*r**2 = 0.
0, 4/241
Factor l**3 + 186*l**2 + 183*l - 370.
(l - 1)*(l + 2)*(l + 185)
Determine t, given that -5*t**2 + 171705*t + 343430 = 0.
-2, 34343
What is r in 4*r**5 + 31392*r**4 + 125520*r**3 + 125504*r**2 = 0?
-7844, -2, 0
Factor 2*d**5 + 5602*d**4 - 22428*d**3 + 33652*d**2 - 22438*d + 5610.
2*(d - 1)**4*(d + 2805)
Suppose -4*l**5 - 16*l**4 + 2824*l**3 - 2672*l**2 - 13860*l - 8352 = 0. What is l?
-29, -1, 3, 24
Factor 3*k**2 + 366*k + 9135.
3*(k + 35)*(k + 87)
Factor 3*o**2 + 3741*