-13, 132
Find q, given that -4*q**3 + 1416032*q**2 - 7080004*q - 19824168 = 0.
-2, 7, 354003
Find t such that -4*t**3 + 32232*t**2 - 14918180*t = 0.
0, 493, 7565
Let -4*u**4 - 836*u**3 - 7836*u**2 + 25556*u + 175120 = 0. What is u?
-199, -11, -4, 5
Suppose 3*x**2 + 965406*x + 19306920 = 0. What is x?
-321782, -20
Suppose -59*n**3/3 - 10121*n**2 + 54910*n - 57200/3 = 0. What is n?
-520, 22/59, 5
Factor -4*l**3 + 33008*l**2 - 2230672*l + 37842816.
-4*(l - 8184)*(l - 34)**2
Solve -o**3/2 + 153783*o**2/2 - 230670*o = 0 for o.
0, 3, 153780
Let -2*l**3/13 - 18664*l**2/13 + 168098*l/13 - 373640/13 = 0. What is l?
-9341, 4, 5
Determine n so that 13*n**4 - 159*n**3 - 4394*n**2 + 5820*n + 7000 = 0.
-14, -10/13, 2, 25
Find v such that 2*v**5/5 - 88*v**4 + 4628*v**3 - 36680*v**2 + 450138*v/5 - 57888 = 0.
1, 3, 5, 67, 144
Suppose 2*m**4/3 + 410*m**3 + 88956*m**2 + 23574016*m/3 + 222376128 = 0. Calculate m.
-234, -164, -53
Factor -x**2 - 881353*x - 881352.
-(x + 1)*(x + 881352)
Suppose -3*c**2 + 307705242*c - 7890209662856547 = 0. Calculate c.
51284207
Factor 58*s**2/13 + 3550698*s/13 - 244876/13.
2*(s + 61219)*(29*s - 2)/13
Let 4*r**4 + 780004*r**3 - 17941764*r**2 + 86590044*r - 119354688 = 0. Calculate r.
-195024, 3, 17
Find n such that -2*n**2 + 403468*n + 2824374 = 0.
-7, 201741
Determine z so that 2*z**3 + 19794*z**2 + 48060000*z = 0.
-5625, -4272, 0
Determine c, given that 2*c**4/17 + 4860*c**3/17 + 134922*c**2/17 + 985720*c/17 + 2161800/17 = 0.
-2402, -18, -5
Factor 2*x**3 + 11328*x**2 + 9100698*x - 21458702428.
2*(x - 974)*(x + 3319)**2
Suppose 11*k**3/3 - 60832462*k**2/3 + 110604436*k/3 + 22120888/3 = 0. What is k?
-2/11, 2, 5530222
Determine r so that -5*r**3 + 178255*r**2 - 712955*r + 534705 = 0.
1, 3, 35647
What is g in -2*g**5/11 - 14180*g**4/11 + 355436*g**3/11 - 2233360*g**2/11 + 485058*g - 4354380/11 = 0?
-7115, 2, 3, 17
Determine w so that w**2/3 - 50747*w/3 = 0.
0, 50747
What is k in 4*k**5 - 194952*k**4 + 2533772*k**3 - 3507560*k**2 - 31183488*k - 24947200 = 0?
-2, -1, 8, 48725
Suppose -3996*z**2/7 + 190870*z/7 + 3536/7 = 0. What is z?
-1/54, 1768/37
Determine m so that -150*m**3 - 3653*m**2 - 21522*m - 7155 = 0.
-15, -9, -53/150
Let 5*q**5/4 + 2417*q**4/4 + 43023*q**3/4 + 112815*q**2/4 - 20925*q = 0. Calculate q.
-465, -15, -4, 0, 3/5
Suppose 2*z**4/5 - 786*z**3 + 177534*z**2/5 - 1891054*z/5 - 414504 = 0. Calculate z.
-1, 20, 27, 1919
Factor -j**2 + 71110*j - 568816.
-(j - 71102)*(j - 8)
What is r in r**4 + 289*r**3 - 32655*r**2 - 498281*r - 1791146 = 0?
-373, -7, 98
Factor -124*z**2/9 - 9134032*z + 5303632/9.
-4*(z + 662954)*(31*z - 2)/9
Factor -8*k**3/3 - 944068*k**2/3 - 944065*k/6 - 19668.
-(k + 118008)*(4*k + 1)**2/6
Suppose -9*o**5/5 + 42333*o**4/5 - 112816*o**3/5 - 7528*o**2 + 150416*o/5 + 75216/5 = 0. What is o?
-2/3, 2, 4701
Let -t**4/7 - 669*t**3 - 5577673*t**2/7 - 31758243*t - 1669982710/7 = 0. Calculate t.
-2321, -31, -10
Determine q so that -q**5/3 - 9961*q**4/3 - 1204199*q**3/3 - 37798919*q**2/3 - 24008360*q - 11806800 = 0.
-9839, -60, -1
Factor 2*s**4/9 + 2446*s**3/9 + 62582*s**2/9 + 44954*s.
2*s*(s + 13)**2*(s + 1197)/9
Factor o**4/2 - 121135*o**3 - 5088258*o**2 - 71238356*o - 332452064.
(o - 242312)*(o + 14)**3/2
Factor 2*r**3 - 11230*r**2 + 33672*r.
2*r*(r - 5612)*(r - 3)
Factor 17*t**2 - 41482*t - 161304.
(t - 2444)*(17*t + 66)
Factor -3*a**2/2 + 14201025*a - 67223037016875/2.
-3*(a - 4733675)**2/2
Suppose 3*u**2/7 + 21994290*u/7 - 21994293/7 = 0. Calculate u.
-7331431, 1
What is m in m**5 + 39*m**4 + 473*m**3 + 1281*m**2 - 6714*m - 7560 = 0?
-15, -14, -12, -1, 3
Solve -3*w**4/4 + 577479*w**3/4 - 9526719*w**2/2 - 4907730*w = 0.
-1, 0, 34, 192460
Factor -4*i**3 - 1448160*i**2 - 131000523600*i + 13114537960000.
-4*(i - 100)*(i + 181070)**2
Determine d so that -3*d**4 + 15990*d**3 + 289056*d**2 - 1411872*d = 0.
-22, 0, 4, 5348
Suppose 5*l**5 + 3570*l**4 + 631225*l**3 + 26784460*l**2 - 739586700*l + 4049996000 = 0. Calculate l.
-472, -131, 10
Factor 2*j**2/17 + 274751896*j/17 + 9436075544449352/17.
2*(j + 68687974)**2/17
Solve 3*x**4/4 + 31533*x**3/4 - 2647995*x**2/2 + 56460567*x - 107688222 = 0.
-10677, 2, 82
Factor -a**2/2 - 86188*a + 172378.
-(a - 2)*(a + 172378)/2
Solve 5*c**2 - 468295*c - 468300 = 0 for c.
-1, 93660
Factor 3*m**3 - 252234*m**2 + 5297794515*m + 169787810400.
3*(m - 42055)**2*(m + 32)
Factor 5*l**4 + 9379930*l**3 + 4399154340245*l**2.
5*l**2*(l + 937993)**2
Let 4*l**2 - 9125844*l + 9125840 = 0. What is l?
1, 2281460
Suppose 5*d**2/4 + 603486415*d/2 + 1206972825/4 = 0. What is d?
-241394565, -1
Factor -3*v**2 - 13734*v - 544560.
-3*(v + 40)*(v + 4538)
Find z such that 2*z**5 + 578*z**4 - 90972*z**3 + 782728*z**2 - 1720112*z + 1027776 = 0.
-404, 1, 2, 6, 106
Find k such that -k**3/11 + 10513*k**2/11 + 115754*k/11 + 105240/11 = 0.
-10, -1, 10524
Determine a so that 21*a**5 + 1089*a**4 - 36663*a**3 - 9225*a**2 + 500178*a - 455400 = 0.
-75, -4, 1, 22/7, 23
Let 14*d**2/9 + 10876*d/9 - 11440/3 = 0. Calculate d.
-780, 22/7
Solve x**2 - 29206*x = 0 for x.
0, 29206
What is d in -4*d**5/7 - 110*d**4/7 + 964*d**3/7 + 5360*d**2/7 = 0?
-67/2, -4, 0, 10
Factor -3*k**3 - 1242*k**2 + 10323*k + 82290.
-3*(k - 13)*(k + 5)*(k + 422)
Factor -2*y**2/3 - 996922*y/3 + 78794284.
-2*(y - 237)*(y + 498698)/3
Let 5*l**2 + 70280*l + 3431715 = 0. Calculate l.
-14007, -49
Solve -4*s**5 - 4949604*s**4 - 1531153810380*s**3 + 4593491128804*s**2 - 4593501028032*s + 1531168659216 = 0 for s.
-618702, 1
What is a in -5*a**2 - 91191343*a + 36476538 = 0?
-18238269, 2/5
Determine i, given that 860*i**4 + 43228*i**3 - 137424*i**2 = 0.
-11452/215, 0, 3
Let -w**3/6 - 20735*w**2/3 - 71691250*w - 716221500 = 0. Calculate w.
-20730, -10
Factor 3*p**2 - 224138274*p + 4186497155974923.
3*(p - 37356379)**2
Determine i so that -i**2/6 + 16321*i/3 - 1462815/2 = 0.
135, 32507
Suppose 2*i**4/3 + 97760*i**3/3 + 400135836*i**2 - 5396269596656*i/3 - 125983172190418406/3 = 0. Calculate i.
-19241, 8843
Determine r so that 2*r**4 + 818*r**3 + 73506*r**2 + 2252726*r + 18602948 = 0.
-298, -49, -13
What is x in -3*x**2 + 43236*x + 9523479 = 0?
-217, 14629
Find x, given that 4*x**4 + 578648*x**3 + 124863552*x**2 + 8987189760*x + 215656722432 = 0.
-144446, -72
Determine i, given that -i**2/5 - 57104908*i/5 - 815242629422116/5 = 0.
-28552454
Factor -i**2/7 + 7687*i/7 - 660726.
-(i - 7029)*(i - 658)/7
Determine y so that 3*y**2 - 67200312*y + 376323494408112 = 0.
11200052
Factor -h**5/9 + 17861377*h**4/9 - 17861375*h**3/3 + 53584123*h**2/9 - 17861374*h/9.
-h*(h - 17861374)*(h - 1)**3/9
Find y such that 4*y**3 - 2409728*y**2 - 159059472*y = 0.
-66, 0, 602498
Suppose 51*x**4 - 145155*x**3 + 724908*x**2 - 1159404*x + 579600 = 0. Calculate x.
1, 2, 48300/17
Factor -o**2/4 + 197385*o - 2368611/4.
-(o - 789537)*(o - 3)/4
Suppose 3*t**5/5 + 3604161*t**4/5 + 1082496240738*t**3/5 - 1082507053236*t**2/5 - 2164999689816*t/5 = 0. What is t?
-600694, -1, 0, 2
Let 164*c**2 + 3951428*c + 289128 = 0. What is c?
-24094, -3/41
Factor 1162261467*k**4 - 174291390360*k**3 - 7173797400*k**2 - 98412000*k - 450000.
3*(k - 150)*(729*k + 10)**3
Factor -3*a**2/5 - 8781*a - 920682/5.
-3*(a + 21)*(a + 14614)/5
Factor -4*y**2 - 1528284*y.
-4*y*(y + 382071)
Let -13*b**5/9 - 4379*b**4/9 - 6986*b**3/3 - 13936*b**2/9 + 2656*b/9 = 0. What is b?
-332, -4, -1, 0, 2/13
Factor 62*u**2/15 - 13784*u/5 + 214016/3.
2*(u - 640)*(31*u - 836)/15
Solve 4*k**4 - 3798952*k**3 + 900956951844*k**2 + 496388543499200*k + 68292950772640000 = 0 for k.
-275, 475144
Determine w, given that 3*w**5/5 - 5091*w**4/5 + 410007*w**3/5 + 1696107*w**2/5 + 2141814*w/5 + 860808/5 = 0.
-2, -1, 89, 1612
Find i, given that i**3/4 - 81*i**2/4 + 431*i - 1680 = 0.
5, 28, 48
Factor 5*g**4 - 1730*g**3 - 42555*g**2 + 44280*g.
5*g*(g - 369)*(g - 1)*(g + 24)
What is k in 5*k**3 - 6075*k**2 + 1525420*k + 126192300 = 0?
-65, 494, 786
Suppose -2*l**2/13 + 16402*l/13 - 4710188/13 = 0. Calculate l.
298, 7903
Factor 4*z**3 + 2492*z**2 + 425936*z + 11758288.
4*(z + 34)*(z + 278)*(z + 311)
Solve -x**2 + 24082*x - 61884225 = 0.
2925, 21157
Let 35*g**3 - 11145*g**2 + 15685*g + 52305 = 0. What is g?
-11/7, 3, 317
Factor 94*q**2 + 29221124*q + 621726.
2*(q + 310863)*(47*q + 1)
Determine r so that -3*r**2 + 224991*r + 449994 = 0.
-2, 74999
Solve -48*p**3/