k + 1)*(k + 672)
Suppose -8*h**4 + 268*h**3 + 156*h**2 - 688*h + 272 = 0. What is h?
-2, 1/2, 1, 34
Determine x so that 75*x**4/2 - 153515*x**3/2 - 87035*x**2 - 10240*x = 0.
-1, -2/15, 0, 2048
Let -a**2/5 + 558312*a/5 - 77928072336/5 = 0. What is a?
279156
Factor l**3/3 + 107*l**2 + 614*l/3 - 2552.
(l - 4)*(l + 6)*(l + 319)/3
Factor -j**5 - 30*j**4 + 223*j**3 + 252*j**2.
-j**2*(j - 7)*(j + 1)*(j + 36)
Factor -t**2/5 - 229*t/5 - 4738/5.
-(t + 23)*(t + 206)/5
Suppose 3*g**2/7 + 1287*g/7 - 11640 = 0. Calculate g.
-485, 56
What is u in -2*u**2/5 - 64*u/5 + 738/5 = 0?
-41, 9
Let -2*z**3/5 + 148*z**2/5 + 16872*z/5 - 106128/5 = 0. What is z?
-66, 6, 134
Factor -i**2 + 115*i + 116.
-(i - 116)*(i + 1)
Suppose j**2/3 - 47*j - 780 = 0. What is j?
-15, 156
Suppose 4*b**4 - 2020*b**3/3 + 67180*b**2/3 - 528860*b/3 - 383032/3 = 0. Calculate b.
-2/3, 13, 29, 127
Determine u, given that -2*u**2/5 - 342296*u - 73229094760 = 0.
-427870
Factor l**4/3 - 527*l**3 + 1053*l**2 - 1579*l/3.
l*(l - 1579)*(l - 1)**2/3
Factor 2*j**3/7 - 5370*j**2/7 - 37664*j/7 - 64608/7.
2*(j - 2692)*(j + 3)*(j + 4)/7
Factor -c**5 - 145*c**4 - 4557*c**3 + 51205*c**2 - 83006*c.
-c*(c - 7)*(c - 2)*(c + 77)**2
Let o**4/2 - 42*o**3 + 632*o**2 + 3048*o + 3224 = 0. Calculate o.
-2, 26, 62
Solve -15*n**5 + 5599*n**4 + 63136*n**3/3 + 75304*n**2/3 + 36176*n/3 + 6032/3 = 0.
-2, -2/3, -2/5, 377
Determine u so that u**5/3 + 56*u**4/9 + 197*u**3/9 - 4*u**2/3 - 356*u/9 + 112/9 = 0.
-14, -4, -2, 1/3, 1
What is f in 196*f**5/3 - 74935*f**4/3 + 155410*f**3 - 137540*f**2/3 - 28600*f/3 + 3008 = 0?
-1/4, 2/7, 6, 376
Let -12*d**2 - 52*d + 880 = 0. What is d?
-11, 20/3
What is w in w**3/6 + 5533*w**2/6 + 7661815*w/6 + 7645225/2 = 0?
-2765, -3
Factor 3*x**3/8 + 315*x**2/8 + 309*x/4.
3*x*(x + 2)*(x + 103)/8
Solve 18*w**5/7 - 328*w**4/7 + 1242*w**3/7 - 260*w**2/7 = 0.
0, 2/9, 5, 13
Determine g, given that -2*g**4 + 4686*g**3 + 6*g**2 - 14054*g - 9372 = 0.
-1, 2, 2343
What is k in -k**5/2 - 146*k**4 - 1723*k**3/2 - 998*k**2 + 862*k + 1144 = 0?
-286, -4, -2, -1, 1
Let -2*x**3 - 604*x**2 - 12320*x = 0. What is x?
-280, -22, 0
What is i in 2*i**5/7 - 26*i**4/7 - 244*i**3/7 - 680*i**2/7 - 112*i - 320/7 = 0?
-2, -1, 20
Determine u so that -4*u**4 - 7800*u**3 - 3856452*u**2 - 52357184*u + 56221440 = 0.
-968, -15, 1
Solve 5*n**3 + 28265*n**2 + 112995*n + 84735 = 0 for n.
-5649, -3, -1
What is y in -354025*y**4/3 + 1190*y**3/3 + 118008*y**2 - 1190*y/3 + 1/3 = 0?
-1, 1/595, 1
Determine k so that -3*k**5 - 42*k**4 - 105*k**3 - 66*k**2 = 0.
-11, -2, -1, 0
Factor -2*u**3/11 + 889252*u**2/11 - 98846139938*u/11.
-2*u*(u - 222313)**2/11
Let 2*u**3 + 66*u**2 - 1602*u - 1666 = 0. Calculate u.
-49, -1, 17
What is u in 2*u**2 + 1157888*u + 167588077568 = 0?
-289472
Solve 4*a**4 + 388*a**3 + 14100*a**2 + 227500*a + 1375000 = 0.
-25, -22
What is a in 44*a**2/9 + 39256*a/9 + 7136/9 = 0?
-892, -2/11
Suppose -5*t**2 + 20001910*t - 20003820182405 = 0. What is t?
2000191
Let -h**5/8 - 7*h**4/2 + 301*h**3/8 + 1627*h**2/2 - 5295*h/2 + 1800 = 0. What is h?
-30, -16, 1, 2, 15
Let 2*d**2/3 + 230148*d = 0. What is d?
-345222, 0
Factor -5*r**2 - 452100*r - 452095.
-5*(r + 1)*(r + 90419)
Let q**3/3 + 484*q**2 + 24492*q + 946400/3 = 0. Calculate q.
-1400, -26
Suppose m**5 + 36*m**4 + 214*m**3 + 324*m**2 + 145*m = 0. What is m?
-29, -5, -1, 0
Suppose 8*l**3/15 - 1498*l**2/15 + 1824*l - 6690 = 0. What is l?
5, 15, 669/4
Factor 3*v**4 - 1875*v**3 + 1168119*v**2/4 + 586875*v/2 + 293907/4.
3*(v - 313)**2*(2*v + 1)**2/4
Factor z**2/2 + 10201*z/4 - 7653/2.
(z + 5102)*(2*z - 3)/4
Factor 5*n**3 + 33230*n**2 - 5*n - 33230.
5*(n - 1)*(n + 1)*(n + 6646)
Determine x so that -2*x**5/3 - 544*x**4/3 - 34016*x**3/3 + 142532*x**2 + 710358*x + 556668 = 0.
-141, -3, -1, 14
Find m such that -3*m**5 + 178*m**4 - 1133*m**3 - 794*m**2 + 11616*m - 3744 = 0.
-3, 1/3, 4, 6, 52
Factor b**4/4 - 17*b**3/4 - 2049*b**2/4 - 29835*b/4 - 30375.
(b - 60)*(b + 9)**2*(b + 25)/4
Factor -2*g**2 - 9924*g - 9922.
-2*(g + 1)*(g + 4961)
Determine m so that 3*m**5 - 1011*m**4 + 12594*m**3 + 13608*m**2 = 0.
-1, 0, 14, 324
Suppose -16*a**4/3 + 106*a**3/3 - 164*a**2/3 + 74*a/3 = 0. Calculate a.
0, 1, 37/8
Suppose 586*f**4 - 1732*f**3 + 1680*f**2 - 508*f - 26 = 0. What is f?
-13/293, 1
Let -36*t**5 + 61476*t**4 + 267056*t**3 + 27536*t**2 - 246464*t - 109568 = 0. What is t?
-4, -2/3, 1, 1712
Let -m**4/9 + 14*m**3/9 - 20*m**2/3 + 104*m/9 - 64/9 = 0. What is m?
2, 8
Factor 618*z**3 - 2426*z**2 + 2288*z + 184.
2*(z - 2)**2*(309*z + 23)
Factor 35*q**2/3 - 1258*q/3 + 792.
(q - 2)*(35*q - 1188)/3
Suppose 4*a**3 - 12040*a**2 + 10604528*a - 2214645728 = 0. Calculate a.
302, 1354
Factor -l**2/5 + 13396*l/5 - 26788/5.
-(l - 13394)*(l - 2)/5
Let 4*s**3 + 46564*s**2 - 186304*s + 186320 = 0. Calculate s.
-11645, 2
Find f such that -14*f**3/3 + 188008*f**2/3 - 26858*f/3 = 0.
0, 1/7, 13429
Let -2*f**5/9 + 820*f**4/9 + 1654*f**3/9 - 2456*f**2/9 - 6584*f/9 - 3296/9 = 0. Calculate f.
-2, -1, 2, 412
Factor u**2/2 - 412*u + 4095/2.
(u - 819)*(u - 5)/2
Solve 3*m**3 - 60*m**2 - 357*m - 450 = 0 for m.
-3, -2, 25
Find s, given that 2*s**5/7 - 122*s**4/7 - 1074*s**3/7 - 298*s**2 + 1072*s/7 + 2208/7 = 0.
-4, -1, 1, 69
Factor -4*n**3 + 764*n**2 - 40108*n + 640692.
-4*(n - 117)*(n - 37)**2
Factor 5*a**2 - 44550*a + 178120.
5*(a - 8906)*(a - 4)
Solve -3*b**4 - 1797*b**3 + 1806*b**2 + 3600*b = 0.
-600, -1, 0, 2
Suppose -a**5 + 37619*a**4 + 225737*a**3 + 489113*a**2 + 451496*a + 150500 = 0. What is a?
-2, -1, 37625
Factor 4*w**3 + 268*w**2 + 4348*w - 4620.
4*(w - 1)*(w + 33)*(w + 35)
Factor 2*k**2/5 + 876*k/5 + 42784/5.
2*(k + 56)*(k + 382)/5
Suppose 4*a**4 + 1100*a**3 + 75073*a**2 - 75900*a + 19044 = 0. What is a?
-138, 1/2
Factor 6*y**2/11 + 7804476*y/11 - 7804482/11.
6*(y - 1)*(y + 1300747)/11
What is z in -4*z**5 - 8744*z**4 - 34896*z**3 + 34976*z**2 + 139648*z = 0?
-2182, -4, -2, 0, 2
Solve 5*c**5 + 910*c**4 - 4650*c**3 + 4700*c**2 + 4645*c - 5610 = 0 for c.
-187, -1, 1, 2, 3
Find c such that 4*c**4 - 908140*c**3 - 2724456*c**2 = 0.
-3, 0, 227038
Factor d**3/3 + 140*d**2/3 - 929*d/3 - 9860.
(d - 17)*(d + 12)*(d + 145)/3
Factor x**4/4 + 5*x**3/2 - 239*x**2/4 - 195*x.
x*(x - 13)*(x + 3)*(x + 20)/4
Find t such that -3*t**4 + 5070*t**3 + 15231*t**2 + 10158*t = 0.
-2, -1, 0, 1693
Let -2*u**4/5 + 23118*u**3/5 - 89073654*u**2/5 + 114400262954*u/5 = 0. Calculate u.
0, 3853
Suppose 4*w**3 + 109572*w**2 + 750321660*w - 750431236 = 0. Calculate w.
-13697, 1
Suppose -6*p**3 + 108*p**2 + 11450*p/3 - 1284 = 0. Calculate p.
-18, 1/3, 107/3
Factor 3*g**3 + 735*g**2 + 5034*g + 8568.
3*(g + 3)*(g + 4)*(g + 238)
Factor -2*b**3/9 + 2426*b**2/3 - 22512*b + 1415512/9.
-2*(b - 3611)*(b - 14)**2/9
Find p, given that -2*p**4/3 - 14*p**3 + 238*p**2 - 2518*p/3 + 616 = 0.
-33, 1, 4, 7
Find w, given that 3*w**2 + 1716*w - 213255 = 0.
-677, 105
Solve 2*h**3 - 7924*h**2/3 + 14910*h - 26300/3 = 0.
2/3, 5, 1315
Factor 4*p**3/7 - 39*p**2/7 - 234*p/7 - 8.
(p - 14)*(p + 4)*(4*p + 1)/7
Solve -4*d**2 + 109432*d - 748460164 = 0.
13679
Factor -2*h**4/13 - 42*h**3/13 - 240*h**2/13 - 32*h.
-2*h*(h + 4)**2*(h + 13)/13
Factor 4*c**2 - 444*c - 2320.
4*(c - 116)*(c + 5)
Determine g so that -g**4/3 - 77320*g**3/3 + 154643*g**2/3 - 25774*g = 0.
-77322, 0, 1
Factor x**3/10 + 9991*x**2/5 + 39958*x/5 + 39956/5.
(x + 2)**2*(x + 19978)/10
Factor 30*c**2/11 - 3096*c/11 + 618/11.
6*(c - 103)*(5*c - 1)/11
Factor -l**2/3 - 493132*l/3 - 60794792356/3.
-(l + 246566)**2/3
Let -4*z**3 + 768*z**2 - 4496*z + 5952 = 0. What is z?
2, 4, 186
Solve 2*k**4 + 25636*k**3 + 82073586*k**2 - 493544464*k - 575592416 = 0 for k.
-6412, -1, 7
Factor -1035745489*f**3 + 6214859130*f**2 - 2317212*f + 216.
-(f - 6)*(32183*f - 6)**2
Factor 2*r**3/7 - 706*r**2 - 9890*r/7 - 4946/7.
2*(r - 2473)*(r + 1)**2/7
Factor -2*j**3 - 590*j**2 + 2*j + 590.
-2*(j - 1)*(j + 1)*(j + 295)
Find l, given that 4*l**4 + 848*l**3 + 35984*l**2 + 432640*l = 0.
-160, -26, 0
Determine q, given that -55*q**5 + 1871*q**4 - 17469*q**3 + 23197*q**2 + 41824*q - 768 = 0.
-1, 1/55, 3, 16
Solve -g**5/2 - 205*g**4 - 21797*g**3/2 + 11104*g**2 = 0.
-347, -64, 0, 1
Factor 2*j**3/5 + 10022*j**2/5 + 2429966*j - 204673990.
2*(j - 79)*(j + 2545)**2/5
Find d such that d**4/6 - 11*d**2/2 + 50*d/3 - 14 = 0.
-7, 2, 3
Let d**5/2 - 73*d**4/2 + 1