+ 140000 = 0 for n.
28, 1000
Factor -254*d**2/7 + 746*d/7 + 2620/7.
-2*(d - 5)*(127*d + 262)/7
Let -2*k**5/5 + 1351*k**4/10 + 7827*k**3/5 + 17789*k**2/10 + 349*k = 0. Calculate k.
-10, -1, -1/4, 0, 349
Suppose -k**2/6 + 123899*k/6 - 61949/3 = 0. Calculate k.
1, 123898
Factor -3*n**2 + 2850*n + 20097.
-3*(n - 957)*(n + 7)
Find k, given that -10*k**4 + 175*k**3 + 120*k**2 - 5585*k - 2800 = 0.
-5, -1/2, 7, 16
Factor 5*k**3/6 - 1000*k**2/3 - 37270*k/3 + 164920/3.
5*(k - 434)*(k - 4)*(k + 38)/6
Factor -4*c**4 + 4440*c**3 + 35712*c**2 + 71552*c.
-4*c*(c - 1118)*(c + 4)**2
Let -2*r**2/17 - 452*r/17 + 3262/17 = 0. Calculate r.
-233, 7
Factor 37*s**4 + 163501*s**3 + 240831081*s**2 + 118239381855*s - 6392021634.
(s + 1473)**3*(37*s - 2)
Let -428*s**2 - 20960*s + 588 = 0. Calculate s.
-49, 3/107
Let -5*h**3 - 6229*h**2/4 = 0. What is h?
-6229/20, 0
Suppose -h**5/4 + 997*h**4/4 - 9903*h**3/4 + 32611*h**2/4 - 9874*h + 3948 = 0. What is h?
1, 4, 987
Find t, given that 3*t**5/2 - 57*t**4/8 - 81*t**3/8 + 327*t**2/8 + 69*t/8 - 135/4 = 0.
-9/4, -1, 1, 2, 5
Solve -4*u**3 + 1180*u**2 - 101888*u + 2736128 = 0.
64, 167
Factor -b**3 + 600*b**2 - 2379*b - 2980.
-(b - 596)*(b - 5)*(b + 1)
Let -3*l**3 + 3762*l**2 + 3771*l - 7530 = 0. What is l?
-2, 1, 1255
Factor -3*n**2/5 + 4464*n/5.
-3*n*(n - 1488)/5
Determine r so that -r**5 + 929*r**4 - 18887*r**3 - 163937*r**2 - 372936*r - 228816 = 0.
-3, -1, 28, 908
Factor 4*v**4 - 1204*v**3 + 94636*v**2 - 595644*v - 691488.
4*(v - 147)**2*(v - 8)*(v + 1)
Determine c so that -8*c**5 + 3110*c**4 + 3946*c**3 - 17928*c**2 - 4680*c = 0.
-3, -1/4, 0, 2, 390
Factor -5*g**2 - 589520*g - 17376691520.
-5*(g + 58952)**2
Factor -5*v**5 + 112340*v**4 - 449300*v**3 + 449280*v**2.
-5*v**2*(v - 22464)*(v - 2)**2
Factor -154*c**2/5 + 3326*c + 216/5.
-2*(c - 108)*(77*c + 1)/5
Factor 5*a**3 - 24695*a**2 - 895500*a.
5*a*(a - 4975)*(a + 36)
Factor -7*c**2 + 597*c - 2810.
-(c - 5)*(7*c - 562)
Factor 71*u**2 - 3751*u - 636.
(u - 53)*(71*u + 12)
Factor -2*n**4/9 - 148*n**3/3 + 1808*n**2/9.
-2*n**2*(n - 4)*(n + 226)/9
Find p such that -6*p**4/11 + 206*p**3/11 - 1868*p**2/11 + 5352*p/11 - 144 = 0.
1/3, 6, 22
Find q, given that -q**4/3 + 340*q**3 + 2048*q**2 + 12304*q/3 + 2736 = 0.
-2, 1026
Factor 3*w**2/8 - 11841*w/4 + 29565.
3*(w - 7884)*(w - 10)/8
Factor 5*n**3 + 370*n**2 - 41915*n - 3168940.
5*(n - 92)*(n + 83)**2
Solve 4*j**4 - 2164*j**3 + 19068*j**2 + 44644*j + 23408 = 0 for j.
-1, 11, 532
Factor -4*g**3 - 2984*g**2 + 149276*g + 152256.
-4*(g - 48)*(g + 1)*(g + 793)
What is w in -5*w**5 - 12155*w**4 - 7453600*w**3 - 80525500*w**2 = 0?
-1210, -11, 0
Factor -2*c**3 - 1001*c**2 + 24652*c + 12576.
-(c - 24)*(c + 524)*(2*c + 1)
Solve 2*c**3/5 + 1448*c**2 + 6559434*c/5 + 13089924/5 = 0 for c.
-1809, -2
Let 35*t**4/4 + 1259*t**3/4 + 5199*t**2/2 + 990*t = 0. Calculate t.
-165/7, -12, -2/5, 0
Suppose -2*z**5 - 568*z**4 - 45080*z**3 + 46652*z**2 + 85844602*z - 171506020 = 0. What is z?
-107, 2, 35
Let 5*b**4 - 695*b**3 + 1370*b**2 = 0. Calculate b.
0, 2, 137
Factor z**3 + 34601*z**2 + 299324600*z + 299290000.
(z + 1)*(z + 17300)**2
Let a**2 + 61144*a + 122284 = 0. What is a?
-61142, -2
Factor 2*k**3 - 348*k**2 - 702*k - 352.
2*(k - 176)*(k + 1)**2
Let -2*h**4 + 40*h**3 + 54*h**2 - 3892*h + 15680 = 0. Calculate h.
-10, 7, 16
Factor h**3/3 - 598*h**2/3 + 595*h/3 + 398.
(h - 597)*(h - 2)*(h + 1)/3
Let -3*k**4 - 456*k**3 + 3825*k**2 - 2442*k - 6720 = 0. Calculate k.
-160, -1, 2, 7
Factor -15*f**3 - 647211*f**2 - 6981173808*f + 4188937284.
-3*(f + 21574)**2*(5*f - 3)
Solve 5*t**3 - 145*t**2 + 140*t = 0.
0, 1, 28
Factor m**2/4 - 383*m/4 - 385/2.
(m - 385)*(m + 2)/4
Suppose 17*i**5/4 - 195*i**4 + 10329*i**3/4 - 15809*i**2/2 + 6531*i + 882 = 0. What is i?
-2/17, 2, 21
Determine x so that -x**3/7 - 1003*x**2/7 + 11375*x - 78621/7 = 0.
-1077, 1, 73
Factor 85*u**2 + 43100*u + 2535.
5*(u + 507)*(17*u + 1)
Suppose -4*w**4/7 + 166*w**3/7 - 1102*w**2/7 - 3576*w/7 - 2304/7 = 0. Calculate w.
-3/2, -1, 12, 32
Factor 5*b**5/3 + 920*b**4/3 - 2520*b**3 + 22880*b**2/3 - 30640*b/3 + 5120.
5*(b - 2)**4*(b + 192)/3
Find a such that a**2 - 2387*a + 23770 = 0.
10, 2377
Let -g**2/6 + 106213*g/6 + 53107/3 = 0. Calculate g.
-1, 106214
Factor -x**4/4 + 5*x**3/4 + 93*x**2/4 - 297*x/4.
-x*(x - 11)*(x - 3)*(x + 9)/4
Find k, given that 410121*k**4 - 956955*k**3 + 729118*k**2 - 546860*k/3 + 8/3 = 0.
2/136707, 2/3, 1
Factor 4*i**2 + 4004584*i + 1002293313316.
4*(i + 500573)**2
Factor -75*d**3/4 + 160845*d**2/4 + 64347*d/4 + 6435/4.
-3*(d - 2145)*(5*d + 1)**2/4
Find i such that 3*i**4 + 60822*i**3 + 308093787*i**2 - 1850205240*i + 2776129200 = 0.
-10140, 3
Determine w, given that -5*w**5/2 + 41*w**4/6 + 2*w**3 - 10*w**2 - 8*w/3 = 0.
-1, -4/15, 0, 2
Let -2*o**5/3 + 2708*o**4/3 - 919346*o**3/3 + 1808984*o**2/3 + 6386848*o/3 + 3655808/3 = 0. Calculate o.
-1, 4, 676
Factor -3*d**2 - 5814*d + 34992.
-3*(d - 6)*(d + 1944)
Factor -2*j**2 + 344*j + 19530.
-2*(j - 217)*(j + 45)
Determine w so that -2*w**5 - 106*w**4 - 1230*w**3 + 4810*w**2 + 1232*w - 4704 = 0.
-28, -1, 1, 3
Let 2*n**4/11 - 26*n**3/11 - 2*n**2/11 + 746*n/11 - 720/11 = 0. Calculate n.
-5, 1, 8, 9
Determine v so that -2*v**2/11 - 212*v/11 - 5330/11 = 0.
-65, -41
Suppose 2*l**3/13 + 1294*l**2/13 + 217462*l/13 + 200978 = 0. Calculate l.
-317, -13
Solve 2*d**4/3 - 554*d**3/3 + 4648*d**2 = 0.
0, 28, 249
Solve 26*r**2/9 + 7496*r/3 - 1730/9 = 0.
-865, 1/13
Factor t**2/9 - 1190*t/9 - 2384/9.
(t - 1192)*(t + 2)/9
Factor -2*s**5 + 34*s**4 + 74*s**3 + 38*s**2.
-2*s**2*(s - 19)*(s + 1)**2
Solve -2*y**5 + 5344*y**4 - 3575128*y**3 + 7123556*y**2 + 3575130*y - 7128900 = 0 for y.
-1, 1, 2, 1335
Factor 2*b**2/5 - 2262*b/5 - 64904/5.
2*(b - 1159)*(b + 28)/5
Solve 3*q**3/2 + 872*q**2 + 30983*q/2 + 5067 = 0 for q.
-563, -18, -1/3
Factor 3*k**4 - 267*k**3 + 6045*k**2 - 5781*k.
3*k*(k - 47)*(k - 41)*(k - 1)
Factor 4*g**2 - 584*g + 10912.
4*(g - 124)*(g - 22)
What is k in -25*k**2 + 12381*k/5 - 594/5 = 0?
6/125, 99
Solve 4*d**3 - 1372*d**2 - 21480*d = 0 for d.
-15, 0, 358
Solve 2*l**3/3 + 7234*l**2/3 - 2412*l = 0.
-3618, 0, 1
Factor -6603*y**3 - 6601*y**2 + 13208*y - 4.
-(y - 1)*(y + 2)*(6603*y - 2)
Suppose 4*g**5 - 16*g**4 - 2516*g**3 + 34256*g**2 - 106640*g + 96512 = 0. Calculate g.
-29, 2, 13, 16
Determine k, given that -23*k**2/4 + 622*k + 1267 = 0.
-2, 2534/23
Find u such that 65*u**2/2 + 110*u + 90 = 0.
-2, -18/13
Let 4*p**3 - 2458*p**2 + 8560*p - 3666 = 0. Calculate p.
1/2, 3, 611
Factor -2*b**2/11 - 960*b/11 - 602.
-2*(b + 7)*(b + 473)/11
What is m in 5*m**4 - 390*m**3 + 735*m**2 + 1930*m - 2280 = 0?
-2, 1, 3, 76
Find a such that -4*a**3/3 - 540*a**2 - 4832*a/3 - 1072 = 0.
-402, -2, -1
Suppose 16*o**5/9 - 14*o**4/9 - 146*o**3/9 + 14*o**2 + 2*o = 0. Calculate o.
-3, -1/8, 0, 1, 3
Determine q, given that -5*q**4 - 4825*q**3 + 33945*q**2 - 72855*q + 43740 = 0.
-972, 1, 3
Suppose 28*l**2/3 + 1223*l/3 + 2580 = 0. Calculate l.
-36, -215/28
Solve 3*f**2/8 - 58473*f/8 + 29235/4 = 0.
1, 19490
Suppose -r**3/4 + 275*r**2/2 - 62011*r/4 + 60915/2 = 0. What is r?
2, 155, 393
Factor 3*w**2/7 - 2763*w/7 - 256530/7.
3*(w - 1006)*(w + 85)/7
Determine x, given that -111*x**2/5 - 5436*x/5 + 147/5 = 0.
-49, 1/37
Find v such that -2*v**2/5 - 14768*v/5 = 0.
-7384, 0
Factor v**4/3 - 34763*v**3/3 + 23174*v**2.
v**2*(v - 34761)*(v - 2)/3
Determine u so that 2*u**2/5 - 4726*u - 283848/5 = 0.
-12, 11827
Suppose -3*j**4 + 30630*j**3 - 78213699*j**2 + 156335520*j - 78152448 = 0. Calculate j.
1, 5104
Determine q, given that 2*q**2 + 59*q - 75031 = 0.
-209, 359/2
Find s such that 2*s**3/17 - 26994*s**2/17 + 5357118*s + 5358706 = 0.
-1, 6749
Suppose -w**3/5 - 37*w**2 + 190*w = 0. What is w?
-190, 0, 5
Factor -t**2/10 + 112804*t/5 - 6362371208/5.
-(t - 112804)**2/10
Factor v**4/6 + 65*v**3/3 + 1826*v**2/3 - 1283*v + 1305/2.
(v - 1)**2*(v + 45)*(v + 87)/6
Factor -p**4 + 12*p**3 + 439*p**2 - 918*p.
-p*(p - 27)*(p - 2)*(p + 17)
What is x in -3*x**4/2 + 159*x**3 + 369*x**2/2 - 2544*x - 2568 = 0?
-4, -1, 4, 107
Factor -3*l**4 - 318*l**3 - 3585*l**2 + 3906*l.
-3*l*(l - 1)*(l + 14)*(l + 93)
Determine d so that -5*d**2 + 8555*d - 25620 = 0.
3, 1708
Suppose -2*z**5/5 - 302*z**4 - 55602*z**3/5 + 175886*z**2/5 - 178916*z/5 + 60144/5 = 0. What is z?
-716, -42, 1
Determine p, given that 2*p**2/7 