 w**2/7 - 11*w/7 - 10070/7.
(w - 106)*(w + 95)/7
Let -4*w**2 + 5039932*w - 5039928 = 0. What is w?
1, 1259982
Let 3*k**2 + 6*k - 3672 = 0. What is k?
-36, 34
Let 2*d**5/13 - 486*d**4/13 + 6926*d**3/13 - 1506*d**2 - 6928*d/13 + 20064/13 = 0. What is d?
-1, 1, 4, 11, 228
Factor 39916998*x**2 + 5388*x + 2/11.
2*(14817*x + 1)**2/11
Determine f, given that -5*f**2 + 40725*f - 81430 = 0.
2, 8143
Factor -2*w**3/3 + 190*w**2/3 + 2*w/3 - 190/3.
-2*(w - 95)*(w - 1)*(w + 1)/3
What is b in -b**2 - 5980*b + 65901 = 0?
-5991, 11
Factor -36*m**3 + 12915800*m**2 - 2870176*m.
-4*m*(m - 358772)*(9*m - 2)
Factor n**4/4 + 23*n**3 + 177*n**2/4 - 135*n/2.
n*(n - 1)*(n + 3)*(n + 90)/4
Determine r, given that -r**3/3 - 50*r**2/3 + 3479*r + 10578 = 0.
-129, -3, 82
Let -2*p**4/13 + 18*p**3/13 + 108*p**2/13 - 432*p/13 = 0. What is p?
-6, 0, 3, 12
Factor -b**2/8 - 33009*b/8.
-b*(b + 33009)/8
Suppose -a**4 + 563*a**3 + 5702*a**2 + 16020*a + 13752 = 0. What is a?
-6, -2, 573
Let -g**5 + 2529*g**4 - 1587519*g**3 - 14493249*g**2 = 0. What is g?
-9, 0, 1269
Determine q so that 14*q**5 + 58288*q**4 - 325112*q**3 + 292004*q**2 + 725226*q - 750420 = 0.
-4169, -10/7, 1, 3
Factor -r**2/2 - 44*r - 726.
-(r + 22)*(r + 66)/2
Solve -3*x**3/5 + 13014*x**2/5 - 13011*x/5 = 0.
0, 1, 4337
What is q in -q**5/3 - 386*q**4/3 + 2344*q**3/3 - 3136*q**2/3 = 0?
-392, 0, 2, 4
Suppose 5*o**3/4 + 500*o**2 - 41905*o/4 + 9975 = 0. Calculate o.
-420, 1, 19
Factor -2*i**3 + 640*i**2 - 25114*i - 25756.
-2*(i - 274)*(i - 47)*(i + 1)
Factor 2*r**4/9 + 8464*r**3/9 - 5648*r**2 + 101696*r/9 - 67808/9.
2*(r - 2)**3*(r + 4238)/9
Determine v so that 155501*v**2 - 155499*v - 2 = 0.
-2/155501, 1
Find h, given that -2*h**3/11 + 2768*h**2/11 - 957728*h/11 = 0.
0, 692
Determine i, given that -2*i**2/7 - 71818*i/7 = 0.
-35909, 0
Solve 290442408482*w**2/3 + 3048632*w/3 + 8/3 = 0 for w.
-2/381079
Let -267*h**2 + 413051*h - 3094 = 0. Calculate h.
2/267, 1547
Let 3*k**4/2 + 759*k**3/2 + 54141*k**2/2 + 1250529*k/2 + 1642284 = 0. Calculate k.
-152, -49, -3
Suppose -2*y**2/7 - 1088672*y/7 - 148150840448/7 = 0. Calculate y.
-272168
Find t, given that -t**2/4 + 15*t/2 + 936 = 0.
-48, 78
Factor -1173*j**2 - 2358*j - 24.
-3*(j + 2)*(391*j + 4)
Factor -2*i**2/13 + 9440*i/13 + 85122/13.
-2*(i - 4729)*(i + 9)/13
Factor -4*r**2 + 6564*r + 32920.
-4*(r - 1646)*(r + 5)
Find n, given that 14*n**2 + 36374*n - 31188 = 0.
-2599, 6/7
Factor r**5/9 - 56*r**4/9 + 89*r**3 + 3278*r**2/9 - 93412*r/9 - 10648.
(r - 22)**3*(r + 1)*(r + 9)/9
Factor -q**2/4 + 89*q/2 - 1380.
-(q - 138)*(q - 40)/4
Factor -6*r**3 + 927*r**2 - 2280*r.
-3*r*(r - 152)*(2*r - 5)
What is t in 158*t**5/9 - 952*t**4/9 - 1082*t**3/9 + 28*t**2/9 = 0?
-1, 0, 2/79, 7
Factor -185*z**2 - 22384*z + 121.
-(z + 121)*(185*z - 1)
Solve -20*i**3 - 106772*i**2 - 142535276*i - 85482732 = 0 for i.
-2669, -3/5
Determine z so that -2*z**3 + 242*z**2 - 8944*z + 91936 = 0.
17, 52
Let -5*r**5/6 - 215*r**4/6 - 715*r**3/2 + 655*r**2/6 + 3455*r/3 + 720 = 0. Calculate r.
-27, -16, -1, 2
Solve 5*t**3 - 8282*t**2 + 3431232*t - 1371168 = 0.
2/5, 828
Factor -5*t**4 - 255*t**3 - 3990*t**2 - 18260*t - 14520.
-5*(t + 1)*(t + 6)*(t + 22)**2
Let 2*d**5/3 + 1172*d**4/9 - 14596*d**3/9 - 21920*d**2/9 + 4606*d/9 + 1196 = 0. Calculate d.
-207, -1, 2/3, 13
Factor -5*k**2 + 63560*k + 63565.
-5*(k - 12713)*(k + 1)
Let -4*v**4 + 76*v**3 - 260*v**2 + 308*v - 120 = 0. What is v?
1, 2, 15
Factor -4*q**2/7 + 3261284*q/7 - 6522552/7.
-4*(q - 815319)*(q - 2)/7
Solve -4*a**2/7 + 3044*a/7 + 668568/7 = 0.
-178, 939
Factor k**2 - 339*k + 9548.
(k - 308)*(k - 31)
Solve -2*c**2/15 - 507696*c/5 - 96658210656/5 = 0 for c.
-380772
Solve -5*q**5 + 90505*q**4 - 409603000*q**3 + 409512500*q**2 = 0 for q.
0, 1, 9050
Let k**2 + 90478*k - 180960 = 0. Calculate k.
-90480, 2
What is f in 2*f**4/7 + 1262*f**3/7 + 29234*f**2 + 1740978*f/7 = 0?
-311, -9, 0
Solve -4*r**3 + 536*r**2 + 13568*r + 24960 = 0.
-20, -2, 156
Solve m**3/3 - 5*m**2 + 4*m + 28/3 = 0 for m.
-1, 2, 14
Determine f, given that 3*f**3 - 36297*f**2 + 109734885*f + 329531409 = 0.
-3, 6051
Let -196*z**5 + 4984*z**4 + 8188*z**3 + 3440*z**2 + 432*z = 0. Calculate z.
-1, -2/7, 0, 27
Factor 5*s**3/2 - 95*s**2/2 - 285*s/2 + 1575/2.
5*(s - 21)*(s - 3)*(s + 5)/2
What is f in -f**2/7 + 22*f/7 + 720/7 = 0?
-18, 40
Factor 80*r**4 - 361640*r**3 + 408427085*r**2 + 613251030*r + 230045445.
5*(r - 2261)**2*(4*r + 3)**2
Factor 4*x**4 - 3060*x**3 + 33304*x**2 - 96624*x + 84448.
4*(x - 754)*(x - 7)*(x - 2)**2
Determine z, given that -147*z**5 + 2814*z**4 - 15840*z**3 + 21600*z**2 = 0.
0, 2, 60/7
Suppose -2304*z**2 + 738240*z - 59136100 = 0. What is z?
3845/24
Find t such that 5*t**3 + 7820*t**2 + 3057620*t = 0.
-782, 0
What is v in -v**5 - 22*v**4 - 63*v**3 + 358*v**2 - 272*v = 0?
-17, -8, 0, 1, 2
Factor -26*s**2 + 1862*s + 720.
-2*(s - 72)*(13*s + 5)
Solve 5*c**3 + 63675*c**2 + 63660*c - 127340 = 0.
-12734, -2, 1
Factor 3*b**3/2 + 135*b**2 + 1611*b/2 - 5478.
3*(b - 4)*(b + 11)*(b + 83)/2
Determine x, given that -9*x**5/2 - 173*x**4/2 - 731*x**3/2 - 1063*x**2/2 - 290*x - 42 = 0.
-14, -3, -1, -2/9
Let t**5 + 92*t**4 + 2141*t**3 + 6886*t**2 - 6960*t - 32256 = 0. Calculate t.
-56, -32, -3, 2
Factor 3*n**2 - 749349*n + 749346.
3*(n - 249782)*(n - 1)
What is l in 3*l**2/4 + 123*l + 8265/4 = 0?
-145, -19
Suppose -68215*g**2/2 + 9731*g + 4 = 0. What is g?
-4/9745, 2/7
Let -24*k**4 - 35812*k**3 + 245696*k**2 - 209860*k = 0. What is k?
-1499, 0, 1, 35/6
Find v such that -17*v**2/2 - 99*v + 900 = 0.
-300/17, 6
Factor 3*o**2/5 - 65826*o + 1805442615.
3*(o - 54855)**2/5
Let -5*a**4 + 3065*a**3 - 505550*a**2 + 10728060*a + 11236680 = 0. Calculate a.
-1, 26, 294
Find f, given that -f**2/7 - 80*f/7 - 444/7 = 0.
-74, -6
Solve 5*f**5 + 15*f**4 - 1410*f**3 + 9440*f**2 - 13440*f = 0 for f.
-21, 0, 2, 8
Let -4*z**4 - 541*z**3/9 - 713*z**2/3 - 1679*z/9 - 5 = 0. What is z?
-9, -5, -1, -1/36
Determine v, given that 4*v**2 - 332*v + 1264 = 0.
4, 79
Suppose 2*v**4/9 + 304*v**3/9 + 2590*v**2/3 + 6100*v = 0. What is v?
-122, -15, 0
Let 3*d**2/8 - 6672*d + 29677056 = 0. What is d?
8896
Find l such that l**5/9 - 2965*l**4/3 + 2197312*l**3 + 19784704*l**2/9 = 0.
-1, 0, 4448
Factor -4*m**3 - 248*m**2 - 236*m + 488.
-4*(m - 1)*(m + 2)*(m + 61)
Determine r so that -9*r**2 + 16864*r + 3748 = 0.
-2/9, 1874
Suppose 87*a**5 + 16359*a**4/2 + 16236*a**3 + 16563*a**2/2 + 138*a = 0. What is a?
-92, -1, -1/58, 0
Suppose -j**2 + 12224*j - 37356544 = 0. What is j?
6112
Factor 2*n**2 + 3684*n + 25690.
2*(n + 7)*(n + 1835)
Find t such that -t**3 - 110*t**2 + 2773*t + 2882 = 0.
-131, -1, 22
Factor 2*g**2 - 570*g - 306332.
2*(g - 559)*(g + 274)
Factor -4*v**3/3 + 10597*v**2/3 - 883*v.
-v*(v - 2649)*(4*v - 1)/3
Suppose d**4/5 - 71*d**3/5 + 804*d**2/5 - 2956*d/5 + 3248/5 = 0. Calculate d.
2, 4, 7, 58
Factor -3*d**2 - 623316*d - 623313.
-3*(d + 1)*(d + 207771)
Find w, given that 4*w**3 - 340*w**2 + 1600*w = 0.
0, 5, 80
Solve -5*s**3 - 215*s**2 - 2095*s - 1885 = 0 for s.
-29, -13, -1
Find i, given that -230*i**5 - 691*i**4 - 3*i**3 + 920*i**2 + 4*i = 0.
-2, -1/230, 0, 1
Solve l**3 + 4287*l**2 - 8577*l + 4289 = 0 for l.
-4289, 1
Determine t so that -2*t**4/7 - 8208*t**3/7 - 8371966*t**2/7 + 14508312*t - 13311144 = 0.
-2058, 1, 11
What is q in -4*q**3/9 - 1208*q**2/9 + 4148*q/3 - 1248 = 0?
-312, 1, 9
Solve 2*r**5/5 + 4366*r**4/5 + 2423878*r**3/5 + 44916146*r**2/5 + 46430784*r + 189657288/5 = 0.
-1082, -9, -1
Factor m**3/4 - 143*m**2/4 - 22506*m - 1772892.
(m - 407)*(m + 132)**2/4
Solve 2*y**2/19 + 246360*y/19 + 7586656200/19 = 0.
-61590
Let -2*p**3/21 + 2386*p**2/21 - 135290*p/3 + 41678450/7 = 0. Calculate p.
363, 415
Suppose -2*v**2 + 476*v + 8670 = 0. What is v?
-17, 255
Factor 4*x**2 + 23408*x + 70188.
4*(x + 3)*(x + 5849)
Determine y so that 2*y**4 + 160*y**3 + 3430*y**2 + 9200*y + 5928 = 0.
-39, -38, -2, -1
Factor 2*k**2/13 - 170096*k/13 + 3616581152/13.
2*(k - 42524)**2/13
Determine o so that o**2/6 + 5023*o/2 + 7534/3 = 0.
-15068, -1
Find v, given that 3*v**5 - 18*v**4 - 552*v**3 - 762*v**2 + 9765*v + 9996 = 0.
-7, -1, 4, 17
Solve -2*a**4/9 + 1110*a**3 + 9994*a**2/9 - 1110*a - 9992/9 = 0 for a.
-1, 1, 4996
Factor -2*p**4 + 1776*p**3 - 397808*p**2 + 1569984*p - 1562912.
-2*(p - 442)**2*(p - 2)**2
Factor -4*l**4 - 21056*l**3 - 27646456*l*