7, 2/7, 1/3
Factor -24*r**4/5 + 1041*r**3/5 - 9558*r**2/5 - 107892*r/5 + 297432.
-3*(r - 18)**3*(8*r + 85)/5
Find x, given that -x**5/2 + x**4/2 + 333*x**3/2 + 959*x**2/2 - 166*x - 480 = 0.
-16, -3, -1, 1, 20
Factor 5*l**3 + 425*l**2 + 8390*l + 15120.
5*(l + 2)*(l + 27)*(l + 56)
Suppose f**4 - 152*f**3 + 560*f**2 + 4736*f = 0. Calculate f.
-4, 0, 8, 148
Find c such that 4*c**3 + 5464*c**2 + 664740*c = 0.
-1231, -135, 0
Determine u, given that -3*u**5 + 135*u**4 + 10296*u**3 + 92928*u**2 = 0.
-32, -11, 0, 88
Factor o**2/2 - 475*o + 1892.
(o - 946)*(o - 4)/2
Factor i**2/6 - 352*i/3 + 1400/3.
(i - 700)*(i - 4)/6
Factor -5*p**2 - 565620*p + 565625.
-5*(p - 1)*(p + 113125)
Solve j**2/3 + 241880*j/3 + 14626483600/3 = 0 for j.
-120940
Factor 15*s**3 - 137286*s**2 - 357063*s + 164790.
3*(s - 9155)*(s + 3)*(5*s - 2)
Determine s so that -s**5 - 4*s**4/3 + 140*s**3/3 - 80*s**2 - 512*s/3 + 1024/3 = 0.
-8, -2, 2, 8/3, 4
Factor -4*i**2 - 62040*i - 186084.
-4*(i + 3)*(i + 15507)
Factor -w**2/2 - 3075*w/2 - 16852.
-(w + 11)*(w + 3064)/2
Find q, given that 4*q**5 - 268*q**4 + 4440*q**3 - 17840*q**2 + 26336*q - 12672 = 0.
1, 2, 18, 44
Let 21*u**2 + 15846*u + 15825 = 0. Calculate u.
-5275/7, -1
Factor z**3/7 - 384*z**2/7 + 1523*z/7 - 1140/7.
(z - 380)*(z - 3)*(z - 1)/7
Determine p, given that -2*p**5/3 - 224*p**4/9 - 2198*p**3/9 - 452*p**2/3 + 1272*p + 432 = 0.
-18, -3, -1/3, 2
Factor -9216*a**3 - 91200*a**2 + 9575*a - 250.
-(a + 10)*(96*a - 5)**2
Suppose -z**2 + 11946*z - 23888 = 0. Calculate z.
2, 11944
Factor 3*h**3 + 1503*h**2 + 1500*h.
3*h*(h + 1)*(h + 500)
Let 40*x**2 - 956*x - 996 = 0. Calculate x.
-1, 249/10
Factor 2*i**2/21 + 172*i/7 + 976/3.
2*(i + 14)*(i + 244)/21
Suppose -4*k**4 - 17908*k**3 - 35768*k**2 + 143200*k = 0. What is k?
-4475, -4, 0, 2
Factor f**4/3 - 40*f**3 + 3709*f**2/3 - 2006*f - 27848/3.
(f - 59)**2*(f - 4)*(f + 2)/3
Factor 3*q**4 + 1671*q**3 - 1734*q**2 - 33480*q.
3*q*(q - 5)*(q + 4)*(q + 558)
Solve -3*k**2 - 257694*k + 515400 = 0 for k.
-85900, 2
Let -4*l**3 + 184*l**2 - 172*l - 360 = 0. Calculate l.
-1, 2, 45
Find x such that 2*x**4 + 13226*x**3 - 132410*x**2 + 331150*x = 0.
-6623, 0, 5
Factor 3*w**3/7 - 195*w**2 + 146016*w/7 + 2135484/7.
3*(w - 234)**2*(w + 13)/7
Let -35*k**3 - 69100*k**2 - 34115655*k - 9741690 = 0. What is k?
-987, -2/7
Factor 4*v**4 - 188*v**3 + 2744*v**2 - 11968*v.
4*v*(v - 22)*(v - 17)*(v - 8)
Factor 4*i**2 + 9108*i - 36496.
4*(i - 4)*(i + 2281)
Let -2*r**4/9 + 296*r**3/9 - 250*r**2/9 - 6548*r/9 + 3920/3 = 0. What is r?
-5, 2, 4, 147
Solve 25*p**5 - 402*p**4 - 543*p**3 + 2596*p**2 - 204*p = 0 for p.
-3, 0, 2/25, 2, 17
Solve -k**3/5 + 71574*k**2/5 - 28629*k + 71572/5 = 0 for k.
1, 71572
Let 4*j**3 - 32232*j**2 + 64899120*j + 129927200 = 0. What is j?
-2, 4030
Solve 2*h**3 - 106540*h**2 + 1418846450*h = 0 for h.
0, 26635
Factor 5*r**4 + 215*r**3 + 3080*r**2 + 14700*r.
5*r*(r + 14)**2*(r + 15)
Find q, given that -q**5/6 + 11*q**4/3 - 53*q**3/6 - 38*q**2/3 = 0.
-1, 0, 4, 19
Suppose 30*w**5 - 1352*w**4 + 14880*w**3 - 26636*w**2 + 13890*w - 812 = 0. Calculate w.
1/15, 1, 14, 29
Suppose 4*r**3 + 2100*r**2 + 30384*r - 110160 = 0. What is r?
-510, -18, 3
What is s in -3*s**3/4 - 9*s**2/4 + 57*s - 99 = 0?
-11, 2, 6
Find g such that 59*g**4 + 15*g**3/4 - 413*g**2 + 1311*g/4 + 45/2 = 0.
-3, -15/236, 1, 2
Determine t, given that -3*t**3 - 207*t**2 - 4752*t - 36288 = 0.
-24, -21
Determine j, given that 6*j**4 + 5758*j**3 + 205148*j**2 + 1928520*j + 1196208 = 0.
-923, -18, -2/3
Factor -939*s**3 - 116438*s**2 - 3609764*s - 7688.
-(s + 62)**2*(939*s + 2)
Suppose -2*h**4 + 47856*h**3 - 381747300*h**2 + 1015574780000*h - 3043289906250 = 0. Calculate h.
3, 7975
Suppose -3*r**5/7 - 150*r**4 - 100263*r**3/7 - 1377744*r**2/7 + 1297788*r - 7605456/7 = 0. Calculate r.
-166, -23, 1, 4
Factor 5*q**3 + 4625*q**2 - 5*q - 4625.
5*(q - 1)*(q + 1)*(q + 925)
Factor 3*w**3/2 + 3798*w**2 - 68565*w/2 + 53361.
3*(w - 7)*(w - 2)*(w + 2541)/2
Determine r, given that 4*r**5 + 436*r**4 + 9852*r**3 + 63068*r**2 - 9856*r - 63504 = 0.
-81, -14, -1, 1
Factor 2*u**4 + 1258*u**3 + 7500*u**2 + 14968*u + 9968.
2*(u + 2)**3*(u + 623)
Solve 2*t**2 - 82572*t + 852266898 = 0 for t.
20643
Find w, given that -3*w**4 + 9642*w**3 - 96216*w**2 + 307680*w - 307584 = 0.
2, 4, 3204
Determine d, given that d**4/2 + 251*d**3/2 + 8017*d**2 + 30578*d + 30084 = 0.
-138, -109, -2
Solve 4*i**2/7 - 440*i/7 - 8636/7 = 0 for i.
-17, 127
Find b, given that -10*b**4 + 57565*b**3 - 4021230*b**2 + 71649725*b - 34826750 = 0.
1/2, 35, 5686
Let 5*u**3 - 1570*u**2 + 23915*u - 22350 = 0. What is u?
1, 15, 298
Determine d so that 27*d**3 + 12876*d**2 + 24249*d + 11400 = 0.
-475, -1, -8/9
Solve -6*i**3/11 - 278*i**2/11 - 2540*i/11 - 816/11 = 0 for i.
-34, -12, -1/3
Factor y**4 - 194*y**3 - 5587*y**2 + 24644*y - 25404.
(y - 219)*(y - 2)**2*(y + 29)
Let 3*l**4 - 69*l**3 - 282*l**2 + 9240*l = 0. What is l?
-11, 0, 14, 20
Find g, given that g**3/5 - 373879*g**2/5 + 6989237944*g + 6989312720 = 0.
-1, 186940
Factor -2*d**2/5 + 18*d/5 - 8.
-2*(d - 5)*(d - 4)/5
Let 4*w**2 - 1532*w + 131560 = 0. Calculate w.
130, 253
Determine z so that z**5/4 - 107*z**4/4 + 2335*z**3/4 + 28543*z**2/4 + 12412*z + 5887 = 0.
-7, -1, 58
Factor 2*k**4 + 322*k**3 + 8994*k**2 - 333970*k + 629356.
2*(k - 19)*(k - 2)*(k + 91)**2
Factor 3*b**3 + 837*b**2 + 45441*b - 1896129.
3*(b - 27)*(b + 153)**2
Factor k**4 + 132*k**3 + 4482*k**2 + 8060*k - 12675.
(k - 1)*(k + 3)*(k + 65)**2
Factor s**4 + 117*s**3 - 242*s**2 - 468*s + 952.
(s - 2)**2*(s + 2)*(s + 119)
Solve -a**3/6 + 217*a**2/3 - 283*a/2 - 1080 = 0 for a.
-3, 5, 432
Solve s**4/3 + 15*s**3 + 523*s**2/3 + 585*s + 1276/3 = 0.
-29, -11, -4, -1
Solve -3*s**5/5 + 186*s**4/5 - 987*s**3/5 - 1176*s**2/5 = 0.
-1, 0, 7, 56
Factor -4*t**2 + 928*t - 1840.
-4*(t - 230)*(t - 2)
Factor 3*r**2 + 90807*r - 363276.
3*(r - 4)*(r + 30273)
Let -3*q**2/8 - 7929*q/8 + 1983/2 = 0. Calculate q.
-2644, 1
Solve 5*s**3 + 353465*s**2 + 353450*s - 706920 = 0.
-70692, -2, 1
Factor 3*q**3/2 - 327*q**2/2 + 4155*q - 7668.
3*(q - 71)*(q - 36)*(q - 2)/2
Factor -20*z**2 - 1836*z - 210681/5.
-(10*z + 459)**2/5
Determine c, given that -3*c**4/4 - 2931*c**3/4 - 23454*c**2 - 85047*c - 82128 = 0.
-944, -29, -2
Suppose -8*l**5 - 5458*l**4 - 65964*l**3 - 203750*l**2 - 46900*l = 0. Calculate l.
-670, -7, -5, -1/4, 0
Find k, given that 5*k**4 + 925*k**3 - 174905*k**2 - 33056725*k - 129370500 = 0.
-185, -4, 189
What is i in -2*i**3/9 - 268*i**2/9 + 1472*i/9 + 846400/9 = 0?
-92, 50
Factor -5*b**2 - 2622860*b - 343969728980.
-5*(b + 262286)**2
Find f, given that -2*f**4/9 - 1180*f**3/3 - 1075034*f**2/9 + 144967720*f/3 - 30186210632/9 = 0.
-1007, 122
Factor o**3/11 - 36*o**2/11 + 233*o/11 + 270/11.
(o - 27)*(o - 10)*(o + 1)/11
Let 35*r**2 + 35795*r - 10230 = 0. Calculate r.
-1023, 2/7
Factor -n**2 + 24334*n - 148035889.
-(n - 12167)**2
Factor 10*u**2/21 + 212*u/7 + 8474/21.
2*(u + 19)*(5*u + 223)/21
Let 2*j**3/21 - 502*j**2/21 + 30734*j/21 + 32258/7 = 0. Calculate j.
-3, 127
Let p**2/4 + 2141*p/4 - 18343/2 = 0. Calculate p.
-2158, 17
Let -v**2/3 + 2142274*v/3 - 1147334472769/3 = 0. Calculate v.
1071137
Factor -5*x**2 - 610*x + 115875.
-5*(x - 103)*(x + 225)
Suppose d**5/2 + 45*d**4/2 - 49*d**3 - 93*d**2 + 97*d/2 + 141/2 = 0. What is d?
-47, -1, 1, 3
Find a, given that -2*a**2 - 1483568*a + 1483570 = 0.
-741785, 1
Let -2*h**4/17 - 6*h**3/17 + 220*h**2/17 + 600*h/17 - 2000/17 = 0. Calculate h.
-10, -5, 2, 10
Factor b**4 - 61*b**3 - 209*b**2 + 24909*b.
b*(b - 57)*(b - 23)*(b + 19)
Suppose 32*a**5/13 - 1200*a**4/13 + 6354*a**3/13 + 25846*a**2/13 - 1080*a + 1800/13 = 0. Calculate a.
-3, 1/4, 10, 30
Factor -3*r**2/4 - 11331*r/2 - 609687/4.
-3*(r + 27)*(r + 7527)/4
Factor -2*g**2/3 + 189488*g - 13464638304.
-2*(g - 142116)**2/3
Find k such that -5*k**4 + 10*k**3 + 1715*k**2 + 1700*k = 0.
-17, -1, 0, 20
Factor -5*w**2 + 660*w.
-5*w*(w - 132)
Suppose -3*q**5 - 35805*q**4 - 142276647*q**3 - 187562341743*q**2 + 2658442364886*q + 6065996456352 = 0. What is q?
-3983, -2, 16
Factor -4*s**2 + 130960*s - 1047424.
-4*(s - 32732)*(s - 8)
Factor -2*n**3/21 - 1978*n**2/21 - 1120*n - 23448/7.
-2*(n + 6)**2*(n + 977)/21
Determine m so that -5*m**4/4 + 1221*m**3/2 - 54331*m**2/4 - 17229*m/2 + 5580 = 0.
-1, 2/5, 24, 465
Factor -5746650867*z