956, 1
Determine u so that 35*u**4 + 2407500*u**3 - 687860*u**2 = 0.
-68786, 0, 2/7
Factor -g**3/6 - 797*g**2/2 - 634885*g/2 - 505475225/6.
-(g + 761)*(g + 815)**2/6
Solve f**2 - 111*f - 460 = 0.
-4, 115
Factor -2*p**4/7 - 178*p**3/7 - 120*p**2.
-2*p**2*(p + 5)*(p + 84)/7
What is z in -2*z**4/23 + 4436*z**3/23 + 244032*z**2/23 + 3056704*z/23 - 7124992/23 = 0?
-28, 2, 2272
Factor -d**2/3 - 406*d/3 - 931.
-(d + 7)*(d + 399)/3
Solve -4*q**2 + 1252112*q - 97986528784 = 0 for q.
156514
Suppose -2*w**4/3 - 298*w**3/3 - 1166*w**2/3 - 290*w = 0. What is w?
-145, -3, -1, 0
Find i such that 3*i**3 - 192*i**2 + 3804*i - 21840 = 0.
10, 26, 28
Solve 9*t**5/4 - 269*t**4/4 + 647*t**3 - 2003*t**2 + 120*t + 3600 = 0 for t.
-10/9, 2, 5, 12
Factor t**2/5 + 951*t/5 - 80262/5.
(t - 78)*(t + 1029)/5
Determine l, given that 4*l**5 + 2775*l**4 - 3474*l**3 + 695*l**2 = 0.
-695, 0, 1/4, 1
Let 5*g**5/3 + 1835*g**4/6 - 625*g**3/2 - 5485*g**2/6 + 9205*g/6 - 615 = 0. Calculate g.
-369/2, -2, 1
Factor -v**2 - 11504*v + 92096.
-(v - 8)*(v + 11512)
Factor 2*o**3/3 - 860*o**2/3 + 109634*o/3 - 1167392.
2*(o - 191)**2*(o - 48)/3
Factor 2*v**4/5 - 2904*v**3/5 + 1059936*v**2/5 - 4193408*v/5.
2*v*(v - 724)**2*(v - 4)/5
Find m such that -76*m**5 - 540*m**4 - 436*m**3 + 2316*m**2 + 2528*m + 240 = 0.
-5, -3, -1, -2/19, 2
Factor 2*p**3/5 + 772*p**2/5 + 53568*p/5 - 4292352/5.
2*(p - 46)*(p + 216)**2/5
What is u in -2*u**4 - 2*u**3 + 54*u**2 - 54*u - 108 = 0?
-6, -1, 3
Factor -l**2/9 - 1030*l/9 - 11209/9.
-(l + 11)*(l + 1019)/9
Factor -3*q**3 + 8283*q**2 - 172554*q - 180840.
-3*(q - 2740)*(q - 22)*(q + 1)
Solve m**4 - 278*m**3 + 28188*m**2 - 1220346*m + 18600435 = 0.
35, 81
Factor 2*c**2/11 + 2283048*c/11 + 651538521288/11.
2*(c + 570762)**2/11
Let 2*k**2/21 + 76*k/7 + 5920/21 = 0. Calculate k.
-74, -40
Determine d so that -177*d**4/4 - 6673*d**3/4 + 23787*d**2/4 - 6443*d/4 - 123/2 = 0.
-41, -2/59, 1/3, 3
Factor -2*w**2 + 194*w + 4140.
-2*(w - 115)*(w + 18)
Factor 2*q**2/15 + 14674*q/15.
2*q*(q + 7337)/15
Solve 44*o**2 + 69776*o - 12688 = 0.
-1586, 2/11
Suppose 6075*v**5 + 27683235*v**4 - 2460768*v**3 + 54684*v**2 = 0. Calculate v.
-4557, 0, 2/45
Let -2*w**2/13 - 72744*w/13 - 661461192/13 = 0. What is w?
-18186
Solve 4*j**2 - 9132*j - 64120 = 0.
-7, 2290
Factor 2*a**2/3 - 152216*a/3 + 2896213832/3.
2*(a - 38054)**2/3
Factor y**2 + 406560*y + 41322758400.
(y + 203280)**2
Suppose -5*o**5 - 2165*o**4 - 43580*o**3 - 131420*o**2 + 174400*o + 560320 = 0. Calculate o.
-412, -17, -4, -2, 2
Factor -5*r**4 + 205*r**3 - 1770*r**2 + 3600*r.
-5*r*(r - 30)*(r - 8)*(r - 3)
Factor -o**2 - 1280*o - 11439.
-(o + 9)*(o + 1271)
Factor -x**2 + 498*x - 992.
-(x - 496)*(x - 2)
Suppose -9*g**2 - 14703*g + 19620 = 0. Calculate g.
-1635, 4/3
Factor 698*i**3 + 16748*i**2 + 30616*i - 176.
2*(i + 2)*(i + 22)*(349*i - 2)
Let 5*g**5 - 5*g**4 - 685*g**3 + 1305*g**2 + 1980*g = 0. Calculate g.
-12, -1, 0, 3, 11
What is d in 6*d**5/19 - 34*d**4/19 - 174*d**3/19 + 402*d**2/19 + 728*d/19 + 192/19 = 0?
-4, -1, -1/3, 3, 8
Suppose -4*r**2 + 22592*r + 22596 = 0. What is r?
-1, 5649
Factor -2*c**4/9 + 620*c**3/3 - 636794*c**2/9 + 31673320*c/3 - 5219558792/9.
-2*(c - 287)**2*(c - 178)**2/9
Solve -14*q**2/17 + 38048*q/17 + 10872/17 = 0 for q.
-2/7, 2718
Factor -2*i**2/11 + 12668*i/11.
-2*i*(i - 6334)/11
Find c such that 10*c**4/9 + 512*c**3/9 - 2248*c**2/9 - 2048*c/9 + 2944/3 = 0.
-276/5, -2, 2, 4
Solve 5*n**3 + 490*n**2 + 5805*n - 6300 = 0 for n.
-84, -15, 1
Factor -w**4/8 - 9*w**3/2 - 15*w**2/4 + 43*w/2 - 105/8.
-(w - 1)**2*(w + 3)*(w + 35)/8
Determine y, given that 4*y**5 - 196*y**4 + 120*y**3 + 3664*y**2 - 10144*y + 7680 = 0.
-5, 2, 48
Factor 2*d**3 + 3922*d**2 + 1920798*d - 1924722.
2*(d - 1)*(d + 981)**2
Determine k so that -5*k**2 + 12675*k - 151380 = 0.
12, 2523
Solve -2*c**3/11 + 33250*c**2/11 - 138211936*c/11 + 138178688/11 = 0 for c.
1, 8312
Factor 2*k**2 + 64292*k + 516682658.
2*(k + 16073)**2
Let -40*c**5 + 275*c**4 + 465*c**3 - 4975*c**2 + 2375*c + 7500 = 0. Calculate c.
-4, -1, 15/8, 5
Solve -s**5/2 + 117*s**4/2 + 6088*s**3 + 132876*s**2 + 460360*s + 436968 = 0.
-34, -2, 189
Factor 3*u**2/7 + 11961*u/7 - 71874/7.
3*(u - 6)*(u + 3993)/7
Factor -2*l**3/11 + 486*l**2/11 - 5980*l/11.
-2*l*(l - 230)*(l - 13)/11
Find g, given that -5*g**3 - 245*g**2/2 - 385*g + 1300 = 0.
-20, -13/2, 2
Let -4*z**2 - 22796*z + 45608 = 0. What is z?
-5701, 2
Determine z, given that -z**3/2 - 233*z**2 + 2351*z/2 - 942 = 0.
-471, 1, 4
Solve -14*j**3/17 + 356*j**2/17 - 96*j = 0.
0, 6, 136/7
Factor -27*n**2/2 + 2301*n - 5544.
-3*(n - 168)*(9*n - 22)/2
Factor -5*o**3 - 1620*o**2 + 80345*o - 226320.
-5*(o - 41)*(o - 3)*(o + 368)
Determine h so that -8*h**5/7 - 13234*h**4/7 + 116436*h**3/7 + 43168*h**2/7 - 116428*h/7 - 29934/7 = 0.
-1663, -1, -1/4, 1, 9
Solve 179051161*c**2 - 133810*c + 25 = 0 for c.
5/13381
Let 12*b**4 - 1317*b**3 - 21162*b**2 - 5208*b = 0. What is b?
-14, -1/4, 0, 124
Find x, given that -18*x**3 + 3858*x**2 + 26320*x + 44200 = 0.
-10/3, 221
Find d such that 31*d**5/2 + 373*d**4/3 + 2155*d**3/6 + 1325*d**2/3 + 586*d/3 + 4 = 0.
-3, -2, -1, -2/93
What is k in 16*k**2/15 + 266*k/15 - 596/15 = 0?
-149/8, 2
Factor 3*o**3 - 117*o**2 + 852*o - 1260.
3*(o - 30)*(o - 7)*(o - 2)
Suppose -f**2 + 1393618*f - 485542782481 = 0. Calculate f.
696809
Let -2*o**4 + 360*o**3 + 24234*o**2 - 24592*o = 0. What is o?
-53, 0, 1, 232
Factor 2*j**4/7 + 20*j**3/7 + 58*j**2/7 + 16*j/7 - 96/7.
2*(j - 1)*(j + 3)*(j + 4)**2/7
Suppose -2*a**5/11 + 370*a**4/11 + 386*a**3/11 - 2602*a**2/11 - 384*a/11 + 2232/11 = 0. What is a?
-3, -1, 1, 2, 186
Find z such that 2*z**4/5 - 8*z**3/5 - 2718*z**2/5 + 18572*z/5 + 4256 = 0.
-38, -1, 8, 35
Factor 11*i**3/4 + 14*i**2 - 81*i/4 - 63/2.
(i + 1)*(i + 6)*(11*i - 21)/4
Determine v so that 4*v**5/7 - 608*v**4/7 + 604*v**3/7 = 0.
0, 1, 151
Solve -6*f**3/5 + 106*f**2/5 - 20*f = 0.
0, 1, 50/3
Solve -2*t**3/13 + 142*t**2/13 - 116*t/13 - 1680/13 = 0.
-3, 4, 70
Factor 5*v**3 - 1945*v**2 + 17100*v.
5*v*(v - 380)*(v - 9)
Let 3*q**5/7 + 3*q**4/7 - 66*q**3/7 - 120*q**2/7 = 0. Calculate q.
-4, -2, 0, 5
Suppose -b**2 - 22783*b - 45562 = 0. What is b?
-22781, -2
Let -6*d**4 - 125907*d**3/2 + 110190*d**2 + 31482*d = 0. Calculate d.
-10494, -1/4, 0, 2
Factor 2*y**2/5 - 71302*y/5.
2*y*(y - 35651)/5
Solve -2*z**4/7 - 40*z**3/7 - 198*z**2/7 - 176*z/7 + 416/7 = 0.
-13, -4, 1
Factor m**3/11 - 50*m**2 + 547*m/11 + 1098/11.
(m - 549)*(m - 2)*(m + 1)/11
Determine f so that 5*f**4 + 7435*f**3 + 2752755*f**2 - 8355175*f - 11100500 = 0.
-745, -1, 4
Let -i**5/4 - 25*i**4/4 + 36*i**3 - 45*i**2 = 0. Calculate i.
-30, 0, 2, 3
Solve -4*b**2 - 5772*b - 197120 = 0.
-1408, -35
Factor 5*n**2 + 4087910*n - 4087915.
5*(n - 1)*(n + 817583)
Solve d**2/7 - 579*d/7 + 63788/7 = 0 for d.
148, 431
Determine r, given that 2*r**3/7 - 134*r**2/7 + 512*r/7 - 72 = 0.
2, 63
Solve 2*i**5/7 - 50*i**4/7 + 24*i**3 + 1832*i**2/7 - 704*i/7 - 6528/7 = 0 for i.
-4, -2, 2, 12, 17
Solve -5*k**2 + 2688150*k - 361307521125 = 0 for k.
268815
Find p such that 15*p**3 - 93*p**2 - 198*p + 648 = 0.
-3, 2, 36/5
Solve 2*r**3/3 + 259738*r**2 + 25298805872*r - 75897196832/3 = 0.
-194804, 1
Find f such that -2*f**2/5 + 19278*f - 192772/5 = 0.
2, 48193
Factor -2*k**3/3 + 282*k**2 - 820*k/3 - 3376.
-2*(k - 422)*(k - 4)*(k + 3)/3
Suppose -4*n**2/3 + 15620*n/3 + 314000/3 = 0. Calculate n.
-20, 3925
Determine r, given that 2*r**3/11 - 44966*r**2/11 - 18*r/11 + 404694/11 = 0.
-3, 3, 22483
Solve -u**5/10 - 113*u**4/10 + 673*u**3/5 - 1116*u**2/5 = 0.
-124, 0, 2, 9
Let -15*z**2/8 - 194249*z/4 + 6475 = 0. What is z?
-25900, 2/15
Suppose 56*h**5/5 + 1394*h**4/5 + 5618*h**3/5 + 2238*h**2/5 - 10386*h/5 + 216 = 0. What is h?
-20, -3, 3/28, 1
Factor 282*c**4/13 + 11842*c**3/13 + 124278*c**2/13 - 882*c/13.
2*c*(c + 21)**2*(141*c - 1)/13
Find a such that 314*a**2 - 4083*a + 13 = 0.
1/314, 13
Let 3*m**4 + 21426*m**3 - 128628*m**2 + 257304*m - 171552 = 0. What is m?
-7148, 2
Factor -5*c**2 + 29675*c + 118780.
-5*(c - 5939)*(c + 4)
Factor f**2/2 - 41727*f/2 + 41725.
(f - 41725)*(f - 2)/2
Determine f, given that -f**2/4 - 1313*f/2 + 44931/4 = 0.
-2643, 17
Solve -5*n**4 + 3120*n**3 + 6260*n**2 = 0.
-2, 0, 626
Factor 4*k**3/3 - 8416*k**2/3 + 3617780*k/3 - 442136600/3.
4*(k - 1574)*(k - 265)**2/3
Solve -144330050*z**2/