
Find z, given that -z**5 + 8427*z**3 + 297754*z**2 = 0.
-53, 0, 106
Determine a, given that -2*a**2 - 13670*a - 13668 = 0.
-6834, -1
Determine r so that -r**2/3 - 295079*r/3 + 98360 = 0.
-295080, 1
Determine d, given that d**2 + 18140*d = 0.
-18140, 0
Factor 2*h**2 + 32786*h.
2*h*(h + 16393)
Solve w**3/4 - 2445*w**2/4 - w/4 + 2445/4 = 0.
-1, 1, 2445
Let 25*g**4/3 - 2570*g**3/3 + 3140*g**2 - 450*g - 4455 = 0. What is g?
-1, 9/5, 3, 99
Factor 2*s**3/3 + 7478*s**2/3 - 279424*s/3.
2*s*(s - 37)*(s + 3776)/3
Factor -o**2 - 36844*o + 516012.
-(o - 14)*(o + 36858)
Determine f so that 3*f**2 - 3369*f + 39996 = 0.
12, 1111
Factor 2*f**2 - 4390*f.
2*f*(f - 2195)
Let 5*v**4 + 315*v**3 + 5160*v**2 + 9100*v = 0. What is v?
-35, -26, -2, 0
Factor -f**2/7 + 5160*f/7 - 737.
-(f - 5159)*(f - 1)/7
Let -5*w**4 - 515*w**3 + 42505*w**2 + 180315*w - 222300 = 0. Calculate w.
-156, -5, 1, 57
Let -m**5/10 - 71*m**4/5 + 1813*m**3/10 - 2683*m**2/5 + 1848*m/5 = 0. Calculate m.
-154, 0, 1, 3, 8
Determine q, given that 6*q**4 + 39717*q**3 - 537162*q**2 + 736227*q - 238788 = 0.
-6633, 1/2, 1, 12
Solve -7*x**5/2 - 387*x**4 - 14363*x**3/2 - 41708*x**2 - 52710*x - 17800 = 0 for x.
-89, -10, -1, -4/7
Solve -14*u**5/3 - 32*u**4 + 42*u**3 - 16*u**2/3 = 0.
-8, 0, 1/7, 1
Factor 3*b**2/2 + 11019*b - 66168.
3*(b - 6)*(b + 7352)/2
Solve 3*w**2/4 + 14151*w/4 - 10620 = 0 for w.
-4720, 3
Factor 3*j**2/4 + 39*j - 4047/4.
3*(j - 19)*(j + 71)/4
Factor 2*t**2/5 - 4908*t/5 + 63466/5.
2*(t - 2441)*(t - 13)/5
Factor -3*f**3 + 9210*f**2 + 27651*f + 18438.
-3*(f - 3073)*(f + 1)*(f + 2)
Suppose -b**4/5 + 248*b**3/5 + 249*b**2/5 = 0. What is b?
-1, 0, 249
Factor 3*u**2 + 3289*u + 4380.
(u + 1095)*(3*u + 4)
Factor 2*w**4 + 155100*w**3 + 3006691034*w**2 - 12028625400*w + 12029245832.
2*(w - 2)**2*(w + 38777)**2
Determine l so that 2*l**5/5 + 62*l**4/5 - 2116*l**3/5 - 3132*l**2/5 + 37314*l/5 - 6426 = 0.
-51, -5, 1, 3, 21
Determine u, given that -u**3/2 + 6630*u**2 + 26526*u + 26528 = 0.
-2, 13264
Determine q, given that 486*q**3 + 2017845*q**2 + 896748*q + 99636 = 0.
-8303/2, -2/9
Factor -2*k**2 - 72*k + 602.
-2*(k - 7)*(k + 43)
Factor 4*w**4 - 8*w**3 - 1156*w**2 + 2312*w.
4*w*(w - 17)*(w - 2)*(w + 17)
Determine b, given that b**3/3 + 10*b**2 - 1071*b + 3182/3 = 0.
-74, 1, 43
Find w such that 3*w**5/8 - 183*w**4/2 + 59175*w**3/8 - 793125*w**2/4 = 0.
0, 75, 94
Factor -3*c**2/7 + 4539*c/7 + 22770/7.
-3*(c - 1518)*(c + 5)/7
What is k in -3*k**2 - 2328*k - 32004 = 0?
-762, -14
Find g such that -3*g**5/7 - 576*g**4/7 - 5703*g**3/7 + 48282*g**2/7 - 106020*g/7 + 73848/7 = 0.
-181, -17, 2
Suppose -3*c**3 - 4011*c**2 + 3*c + 4011 = 0. Calculate c.
-1337, -1, 1
Factor 2*i**2/17 - 1086*i/17 - 59300/17.
2*(i - 593)*(i + 50)/17
Determine s so that 8416*s**3/3 + 50500*s**2/3 - 58888*s/3 - 28/3 = 0.
-7, -1/2104, 1
Let 5*v**3 - 215*v**2 - 3365*v + 3575 = 0. What is v?
-13, 1, 55
Find j, given that 5*j**2 - 326220*j = 0.
0, 65244
Solve k**4/2 - 81*k**3 + 1985*k**2/2 - 3594*k + 2682 = 0 for k.
1, 6, 149
Solve -3721*i**3 + 137921*i**2 - 9032*i + 148 = 0 for i.
2/61, 37
Solve -5*n**5/4 + 455*n**4/2 - 655*n**3 - 5855*n**2/2 + 13425*n/4 = 0 for n.
-3, 0, 1, 5, 179
Let -2*z**3 - 11540*z**2 + 80858*z - 115540 = 0. What is z?
-5777, 2, 5
Factor 2*r**2 - 1744*r - 144096.
2*(r - 948)*(r + 76)
Factor 3*y**2/8 - 50199*y/4 + 839979867/8.
3*(y - 16733)**2/8
Factor 2*l**4/9 - 796*l**3/9 + 92234*l**2/9 - 288152*l + 2358792.
2*(l - 181)**2*(l - 18)**2/9
Find z such that 18*z**2/13 - 904116*z/13 + 11353135298/13 = 0.
75343/3
Factor -a**3/3 + 565*a**2 + 8550*a.
-a*(a - 1710)*(a + 15)/3
Factor -32*w**3 + 143248*w**2 + 71630*w + 8954.
-2*(w - 4477)*(4*w + 1)**2
Solve 2*x**3/11 - 140*x**2/11 + 2642*x/11 - 6720/11 = 0 for x.
3, 32, 35
Suppose u**3 + 25*u**2 - 1358*u + 11232 = 0. What is u?
-54, 13, 16
Solve -s**3/4 + 97*s**2/4 + 49*s/2 = 0 for s.
-1, 0, 98
Factor s**2/3 + 222812*s/3 + 12411296836/3.
(s + 111406)**2/3
Solve h**2 + 5042*h + 5041 = 0.
-5041, -1
Factor s**4/5 - 578*s**3/5 + 9189*s**2 - 197640*s.
s*(s - 488)*(s - 45)**2/5
Determine f, given that 5*f**2 + 15990*f + 47925 = 0.
-3195, -3
Factor u**4 - 5*u**3 - 84*u**2.
u**2*(u - 12)*(u + 7)
Factor -5*w**2 - 3190980*w - 509117668020.
-5*(w + 319098)**2
Solve -44*c**2 + 4108*c - 19440 = 0.
5, 972/11
Solve -o**3 + 196630*o**2/3 - 65543*o/3 = 0 for o.
0, 1/3, 65543
Determine n so that 16*n**5 + 3508*n**4 + 856*n**3 - 4380*n**2 = 0.
-219, -5/4, 0, 1
Let 2*h**4/9 + 154*h**3/3 + 3634*h**2/3 - 23198*h/9 + 3944/3 = 0. Calculate h.
-204, -29, 1
Determine t so that -3*t**2 - 5877*t = 0.
-1959, 0
Let -2*i**2/7 - 725216*i/7 - 65742280832/7 = 0. Calculate i.
-181304
Factor -27*a**3 - 20862*a**2 + 27852*a - 9288.
-3*(a + 774)*(3*a - 2)**2
Suppose -2*r**4/3 + 14*r**3 - 88*r**2/3 - 456*r - 672 = 0. Calculate r.
-3, -2, 12, 14
Factor 5*q**4 + 9430*q**3 + 4408365*q**2 - 35720840*q + 71744720.
5*(q - 4)**2*(q + 947)**2
Factor 102*i**2 - 878*i/7 - 320/7.
2*(17*i + 5)*(21*i - 32)/7
Suppose -5476*d**4 + 48322*d**3/5 + 27366*d**2/5 - 53954*d/5 - 5618/5 = 0. Calculate d.
-1, -1/10, 53/37
Factor t**3/5 - 7*t**2/5 - t/5 + 7/5.
(t - 7)*(t - 1)*(t + 1)/5
Let -4*b**5 - 872*b**4 - 32244*b**3 - 284608*b**2 - 475952*b - 222720 = 0. Calculate b.
-174, -32, -10, -1
Determine z so that -4*z**2 + 356*z = 0.
0, 89
Factor -45*z**2 + 5014360*z - 1114300.
-5*(z - 111430)*(9*z - 2)
Suppose -128*p**4/9 + 86240*p**3/9 - 35800*p**2 + 402250*p/9 - 167500/9 = 0. Calculate p.
5/4, 670
Factor -f**4/6 + 17*f**3/2 + 6111*f**2/2 + 234171*f/2.
-f*(f - 177)*(f + 63)**2/6
Solve -5*b**3 - 2535*b**2 + 10245*b + 12775 = 0.
-511, -1, 5
Let -2*q**2 + 5009772*q - 3137226936498 = 0. What is q?
1252443
Let -5*l**4/2 - 11495*l**3 - 26380985*l**2/2 + 52899990*l - 52946010 = 0. What is l?
-2301, 2
Factor 3*g**2/4 - 744405*g/2 + 184712934675/4.
3*(g - 248135)**2/4
Factor 2*h**3/5 + 7186*h**2/5 - 100996*h/5.
2*h*(h - 14)*(h + 3607)/5
Solve 4*k**2/5 + 17892*k/5 - 71632/5 = 0.
-4477, 4
Factor -3*w**3/2 - 2253*w**2 - 1700979*w/2 - 3366006.
-3*(w + 4)*(w + 749)**2/2
Let -5*o**3 - 83110*o**2 + 2996820*o - 26985960 = 0. What is o?
-16658, 18
Find f, given that -2*f**3 + 33232*f**2 - 138045728*f = 0.
0, 8308
Find y, given that 8*y**5 + 12*y**4 - 320*y**3 + 700*y**2 - 528*y + 128 = 0.
-8, 1/2, 1, 4
Factor 2*z**3 + 960*z**2 - 4838*z + 5820.
2*(z - 3)*(z - 2)*(z + 485)
Find k such that k**2 + 118924*k - 118925 = 0.
-118925, 1
Find r such that 12*r**5/11 + 2070*r**4/11 + 1020*r**3/11 - 2070*r**2/11 - 1032*r/11 = 0.
-172, -1, -1/2, 0, 1
Find v such that 8*v**5 - 49*v**4 + 46*v**3 + 187*v**2 - 312*v + 36 = 0.
-2, 1/8, 2, 3
Factor -86*f**2 - 11*f/2 + 4.
-(4*f + 1)*(43*f - 8)/2
Determine p, given that -4*p**4 + 404*p**3 + 2092*p**2 + 2956*p + 1272 = 0.
-3, -1, 106
Let -3*b**5/2 - 1269*b**4/2 + 639*b**3 + 1272*b**2 = 0. Calculate b.
-424, -1, 0, 2
Determine c, given that -4*c**5/11 + 391*c**4/11 + 109*c**3/11 - 1084*c**2/11 + 588*c/11 = 0.
-2, 0, 3/4, 1, 98
Let -42*x**4/5 - 1304*x**3/5 - 718*x**2 - 168*x/5 = 0. What is x?
-28, -3, -1/21, 0
Suppose -2*o**4 - 238*o**3 + 4540*o**2 - 11424*o = 0. Calculate o.
-136, 0, 3, 14
Solve -4*p**2 - 2095120*p - 274345488400 = 0 for p.
-261890
Find d, given that 2*d**5 - 259*d**4/5 - 2233*d**3/5 - 3611*d**2/5 - 657*d/5 + 198 = 0.
-5, -3/2, -1, 2/5, 33
Suppose 5*p**3 + 1680*p**2 + 13200*p + 26240 = 0. Calculate p.
-328, -4
Determine z, given that -230*z**3/3 - 14722*z**2/3 + 30232*z/3 + 88 = 0.
-66, -1/115, 2
Determine y, given that -5*y**5 - 677165*y**4 + 4063105*y**3 - 8803475*y**2 + 8126320*y - 2708780 = 0.
-135439, 1, 2
Let 27*g**4/2 + 137295*g**3 + 274554*g**2 + 183028*g + 40672 = 0. Calculate g.
-10168, -2/3
Factor j**4 + 273*j**3 - 275*j**2 - 273*j + 274.
(j - 1)**2*(j + 1)*(j + 274)
Solve -2*x**5 + 92*x**4 - 170*x**3 - 264*x**2 = 0.
-1, 0, 3, 44
Let 3*m**3 + 1617*m**2 + 252105*m + 8823675 = 0. What is m?
-245, -49
Suppose 4*x**4 + 988*x**3 + 54764*x**2 + 106580*x + 52800 = 0. What is x?
-165, -80, -1
Determine r so that r**5/4 + 12*r**4 + 185*r**3 + 1781*r**2/2 - 741*r/4 - 1805/2 = 0.
-19, -10, -1, 1
Find z, given that 324*z**3 + 36*z**2 - 2240*z - 2352 = 0.
-14/9, 3
Determine d so that -180*d**4 + 696416*d**3 - 673248424*d**2 - 688921920*d - 14976900 = 0.
-1, -1/45, 1935
Factor -92*z**3 + 78474*z**2 + 1706*z.
-2*z*(