e -3*r**5/4 - 69*r**4/4 + 2259*r**3/2 - 6555*r**2/2 + 12957*r/4 - 4293/4 = 0. Calculate r.
-53, 1, 27
Factor f**2/4 + 17*f/2 - 1007/4.
(f - 19)*(f + 53)/4
Factor -3*a**2/5 + 28833*a/5 - 546744/5.
-3*(a - 9592)*(a - 19)/5
Let -45*d**5 - 1977*d**4 + 2247*d**3 + 3909*d**2 - 270*d = 0. Calculate d.
-45, -1, 0, 1/15, 2
Factor -19*h**4 - 86*h**3 - 69*h**2 + 54*h.
-h*(h + 2)*(h + 3)*(19*h - 9)
What is w in 6*w**3 + 70952*w**2 + 94594*w + 23648 = 0?
-11824, -1, -1/3
Find r, given that 5*r**4 + 25*r**3 - 5540*r**2 + 26900*r - 31920 = 0.
-38, 2, 3, 28
Find t, given that -t**5 - 99*t**4 - 1467*t**3 + 57019*t**2 + 242592*t + 246924 = 0.
-57, -2, 19
Factor -9*g**3 + 754*g**2 - 1308*g - 328.
-(g - 82)*(g - 2)*(9*g + 2)
What is s in s**4/3 - 130*s**3/3 + 5197*s**2/3 - 20496*s + 47040 = 0?
3, 15, 56
Let -g**2/7 + 926*g/7 - 7344/7 = 0. What is g?
8, 918
Suppose -196882*v**3/19 - 231476*v**2/19 - 62040*v/19 + 3600/19 = 0. Calculate v.
-30/49, 2/41
Determine h, given that -5*h**3 + 50*h**2 - 5*h - 600 = 0.
-3, 5, 8
Find f such that 3*f**4 + 183*f**3 + 87*f**2 - 60555*f + 119250 = 0.
-53, -25, 2, 15
Let h**2/5 - 1267*h/5 + 506 = 0. Calculate h.
2, 1265
Factor -3*i**3/2 + 561*i**2/2 + 852*i + 570.
-3*(i - 190)*(i + 1)*(i + 2)/2
Find f, given that -58*f**3/7 - 11962*f**2/7 + 21244*f/7 + 832 = 0.
-208, -7/29, 2
Suppose 2*l**3 - 1056562*l**2 + 139539879198*l + 139540935762 = 0. Calculate l.
-1, 264141
Suppose -45*l**5/7 + 1077*l**4/7 + 129*l**3 - 3909*l**2/7 - 3690*l/7 = 0. What is l?
-5/3, -1, 0, 2, 123/5
Determine m so that 5*m**5 - 265*m**4 - 3915*m**3 + 47385*m**2 + 51030*m = 0.
-18, -1, 0, 9, 63
What is p in -p**5/2 + 1709*p**4/2 - 10227*p**3/2 + 15331*p**2/2 - 3406*p = 0?
0, 1, 4, 1703
Suppose -3*z**4/4 - 27*z**3/4 + 9*z**2 + 15*z = 0. What is z?
-10, -1, 0, 2
Solve -l**3/5 + 17*l**2/2 - 173*l/5 + 76/5 = 0 for l.
1/2, 4, 38
Factor k**3/4 - 3503*k**2/4 + 726482*k + 71769956.
(k - 1796)**2*(k + 89)/4
Factor -2*b**3 + 474*b**2 - 26884*b.
-2*b*(b - 143)*(b - 94)
Solve a**3/6 + 14519*a**2/2 + 158093761*a/2 - 474324841/6 = 0 for a.
-21779, 1
Factor -5*l**2/2 + 5020*l + 10045/2.
-5*(l - 2009)*(l + 1)/2
Factor -2*g**3/5 + 92*g**2 - 6400*g + 120000.
-2*(g - 100)**2*(g - 30)/5
Suppose -3*n**3 - 42*n**2 + 1911*n - 10290 = 0. What is n?
-35, 7, 14
What is m in 4*m**4/9 - 8954*m**3/9 + 111262*m**2/9 + 9416*m - 38584 = 0?
-2, 3/2, 13, 2226
Solve -2*v**3/5 + 408*v**2/5 + 414*v/5 - 164 = 0 for v.
-2, 1, 205
Solve -144*u**4 - 4052*u**3 - 19564*u**2 - 2528*u + 528 = 0.
-22, -6, -1/4, 1/9
Factor -4*w**5 - 46904*w**4 - 137358256*w**3 + 825838944*w**2.
-4*w**2*(w - 6)*(w + 5866)**2
Solve p**2/8 - 24463*p/4 + 48925/8 = 0 for p.
1, 48925
Factor s**3/4 - 153*s**2/2 - 3171*s/4 + 869.
(s - 316)*(s - 1)*(s + 11)/4
Let -j**5/2 + 32*j**4/3 - 51*j**3 + 142*j**2/3 + 159*j/2 - 30 = 0. Calculate j.
-1, 1/3, 3, 4, 15
Determine t, given that 3*t**3 + 78702*t**2 - 78711*t - 157410 = 0.
-26235, -1, 2
Factor 2*g**2 + 17874*g.
2*g*(g + 8937)
Determine f so that -4*f**2 + 12556*f + 12560 = 0.
-1, 3140
Factor o**4/3 - 1076*o**3/3 - 4336*o**2 - 52160*o/3 - 69632/3.
(o - 1088)*(o + 4)**3/3
Factor 2*b**3/11 + 56788*b**2/11 + 403109618*b/11.
2*b*(b + 14197)**2/11
Let 5*q**4 + 169270*q**3 + 1427189765*q**2 - 91860797760*q + 1472551326720 = 0. Calculate q.
-16959, 32
Let 40185*a**5 + 241122*a**4 + 522477*a**3 + 482376*a**2 + 160884*a + 48 = 0. Calculate a.
-2, -1, -4/13395
Factor u**4/2 + 437*u**3/2 + 23541*u**2 - 72160*u + 48400.
(u - 2)*(u - 1)*(u + 220)**2/2
Find v, given that 2*v**2/9 + 600592*v/9 + 45088843808/9 = 0.
-150148
Let -5*j**5 + 45*j**4 + 410*j**3 - 1920*j**2 - 10080*j = 0. Calculate j.
-6, -4, 0, 7, 12
Suppose 14*p**5/3 - 160*p**4 - 424*p**3/3 + 884*p**2 - 2182*p/3 + 140 = 0. What is p?
-3, 2/7, 1, 35
Factor 4*c**3/9 + 740*c**2/3 - 118384*c/9.
4*c*(c - 49)*(c + 604)/9
Factor x**5/5 - 203*x**4/5 - 2354*x**3/5.
x**3*(x - 214)*(x + 11)/5
Factor -2*t**2/9 + 52*t/9 + 2254/9.
-2*(t - 49)*(t + 23)/9
Factor 4*g**2 - 8*g - 780.
4*(g - 15)*(g + 13)
Let 21*t**3 - 117*t**2 - 1470*t - 1800 = 0. Calculate t.
-5, -10/7, 12
Factor -m**2 + 1053*m - 228140.
-(m - 748)*(m - 305)
Factor -2*z**2/3 + 55944*z - 1173649176.
-2*(z - 41958)**2/3
Factor 2*q**3 - 1266*q**2 + 182160*q + 5880600.
2*(q - 330)**2*(q + 27)
Solve -k**2 - 189*k + 11376 = 0 for k.
-237, 48
Determine p so that p**4/3 + p**3/2 - 2251*p**2/6 + 559*p + 1120/3 = 0.
-35, -1/2, 2, 32
Suppose t**4/3 + 854*t**3/3 - 857*t**2 + 4*t/3 + 3428/3 = 0. What is t?
-857, -1, 2
Let g**3/5 + 523*g**2/5 + 622*g + 4136/5 = 0. What is g?
-517, -4, -2
Suppose 1225*s**4 + 38640*s**3 + 295744*s**2 - 141312*s + 16384 = 0. What is s?
-16, 8/35
Suppose -6*v**2/7 - 9000*v/7 - 3375000/7 = 0. What is v?
-750
Factor 3*y**3/8 - 408081*y**2/8 + 1734663063*y + 3469428147/2.
3*(y - 68014)**2*(y + 1)/8
Factor 5*p**3 - 673890*p**2 - 5391360*p - 10782880.
5*(p - 134786)*(p + 4)**2
Solve 2*w**4/5 + 10782*w**3/5 + 139852*w**2/5 + 129072*w/5 = 0 for w.
-5378, -12, -1, 0
Factor -5*x**3 + 615*x**2 - 10995*x - 11615.
-5*(x - 101)*(x - 23)*(x + 1)
What is f in -f**2/2 + 10509*f - 21017/2 = 0?
1, 21017
Let t**2 - 329*t - 40280 = 0. What is t?
-95, 424
Determine c so that -5*c**3 + 1265*c**2 + 153905*c + 152635 = 0.
-89, -1, 343
Find d, given that 28*d**5 - 1396*d**4 + 16068*d**3 - 52556*d**2 - 7840*d = 0.
-1/7, 0, 7, 8, 35
Suppose -4*f**4/7 - 278*f**3/7 + 472*f**2 - 4462*f/7 + 1440/7 = 0. Calculate f.
-80, 1/2, 1, 9
Find t, given that -2*t**3/13 + 44*t**2/13 + 2*t - 2660/13 = 0.
-7, 10, 19
Factor -i**2/4 + 8437*i/2 - 71182969/4.
-(i - 8437)**2/4
Factor 2*b**4/9 + 47384*b**3/9 + 280797548*b**2/9 + 561168712*b/3 + 280513298.
2*(b + 3)**2*(b + 11843)**2/9
Find h such that 3*h**3 + 381*h**2 + 11316*h - 11700 = 0.
-78, -50, 1
Factor -3*p**3 + 330*p**2 + 1359*p + 1026.
-3*(p - 114)*(p + 1)*(p + 3)
Suppose 2*g**5/3 + 26*g**4/3 + 38*g**3/3 - 290*g**2/3 + 352*g/3 - 128/3 = 0. Calculate g.
-8, 1
Factor 3*s**2/2 - 37809*s/2 + 37803.
3*(s - 12601)*(s - 2)/2
Determine j, given that -4*j**3/7 - 1163384*j**2/7 - 84590232320*j/7 + 169185118208/7 = 0.
-145424, 2
Factor -c**3/6 - 3761*c**2/3 + 20083*c/2 + 11295.
-(c - 9)*(c + 1)*(c + 7530)/6
What is q in 4*q**4 + 169148*q**3 - 169151*q**2 + 42288*q = 0?
-42288, 0, 1/2
Factor -5*q**3/2 + 66055*q**2 - 872916765*q/2 + 1744776810.
-5*(q - 13209)**2*(q - 4)/2
Factor -2*b**2/3 - 661352*b/3 - 54673308488/3.
-2*(b + 165338)**2/3
Suppose -10*o**5 + 4506*o**4 + 24524*o**3 + 45528*o**2 + 32816*o + 7296 = 0. What is o?
-2, -1, -2/5, 456
Factor 14*i**2/3 - 104*i + 88/3.
2*(i - 22)*(7*i - 2)/3
Solve -4*h**3 + 21040*h**2 - 27667600*h = 0 for h.
0, 2630
What is q in 2*q**4/7 + 48*q**3/7 - 1058*q**2/7 - 3552*q/7 = 0?
-37, -3, 0, 16
Let -2*d**5/9 - 728*d**4/9 - 5740*d**3/9 - 15712*d**2/9 - 5702*d/3 - 712 = 0. What is d?
-356, -3, -1
Suppose -x**4/9 - 137*x**3/9 - 1520*x**2/9 - 2404*x/9 + 4000/3 = 0. What is x?
-125, -8, -6, 2
Let k**2/3 - 4792*k/3 + 4789 = 0. What is k?
3, 4789
Solve 3*u**3/4 + 60*u**2 + 1479*u/4 - 54621/2 = 0.
-63, -34, 17
Suppose -3*d**2/2 + 354*d - 29097/2 = 0. Calculate d.
53, 183
Suppose 2*j**5/3 + 12*j**4 + 16*j**3/3 - 428*j**2 + 858*j = 0. What is j?
-13, -11, 0, 3
Let -f**2/2 - 389687*f - 151855957969/2 = 0. What is f?
-389687
Find w such that -729*w**5/7 - 335259*w**4/7 - 962127*w**3/7 + 144159*w**2/7 + 93192*w/7 - 16452/7 = 0.
-457, -3, -1/3, 2/9
Find h, given that 4*h**5/7 - 652*h**4/7 + 8868*h**3/7 + 1964*h**2/7 - 3992*h + 17760/7 = 0.
-2, 1, 15, 148
Factor -q**2/4 + 22185*q/2 - 492174225/4.
-(q - 22185)**2/4
What is u in 2*u**2/11 - 392*u/11 - 5880/11 = 0?
-14, 210
Suppose 3*p**4 + 84*p**3 - 75*p**2 - 2100*p = 0. What is p?
-28, -5, 0, 5
Factor 3*i**2/5 + 621*i/5 + 3618/5.
3*(i + 6)*(i + 201)/5
Solve -4*t**2/3 - 45152*t/3 - 451120/3 = 0 for t.
-11278, -10
Find d, given that 52*d**4 - 256*d**3 - 72*d**2 + 256*d + 20 = 0.
-1, -1/13, 1, 5
Factor -3*o**2 - 2742*o - 626547.
-3*(o + 457)**2
Find h such that -2*h**2/7 + 2068*h/7 - 534578/7 = 0.
517
Solve r**5/2 + 191*r**4/2 + 5063*r**3 - 10584*r**2 - 4867776*r - 4852224 = 0 for r.
-72, -1, 26
What is w in -w**2/6 - 316*w/3 - 3110/3 = 0?
-622, -10
Factor -o**2 + 369*o + 15466.
-(o - 407)*(o + 38)
Factor 2*c**3/17 - 258544*c**2/17 + 8355624992*c/17.
2*c*(c - 64636)**2/17
Factor -r**2 - 9716*r - 9715.