 2481)/21
Solve -k**2/3 - 7183*k - 559598/3 = 0 for k.
-21523, -26
Suppose 9*j**5 - 906*j**4 - 4998*j**3 - 9468*j**2 - 7611*j - 2226 = 0. Calculate j.
-7/3, -1, 106
Find c such that -2*c**5/3 + 98*c**4 - 11236*c**3/3 + 10560*c**2 - 6912*c = 0.
0, 1, 2, 72
Solve 3*q**3/2 + 7251*q**2/2 + 28941*q/2 - 36195/2 = 0.
-2413, -5, 1
Let -2*q**5/3 + 36*q**4 + 956*q**3/3 + 2200*q**2/3 + 658*q + 620/3 = 0. What is q?
-5, -1, 62
Find q, given that -2*q**2/7 - 4934*q/7 - 165444/7 = 0.
-2433, -34
Determine m so that -4*m**2 + 8016*m + 16048 = 0.
-2, 2006
Factor -5*d**4 + 695*d**3 + 2120*d**2 + 1420*d.
-5*d*(d - 142)*(d + 1)*(d + 2)
Factor -2*g**2/13 + 20354*g/13 + 346596/13.
-2*(g - 10194)*(g + 17)/13
Suppose 2*a**2 + 416*a + 21344 = 0. Calculate a.
-116, -92
Factor -p**4/5 - 367*p**3/5 - 28616*p**2/5 + 192080*p.
-p*(p - 25)*(p + 196)**2/5
Find q, given that -2*q**2 - 920*q - 63750 = 0.
-375, -85
Factor 4*y**3 - 584*y**2 - 2384*y - 2400.
4*(y - 150)*(y + 2)**2
Determine j so that j**3/3 - 4871*j**2 - 58488*j - 175500 = 0.
-6, 14625
Let -3*c**2 - 127644*c - 1357749228 = 0. What is c?
-21274
Factor -15*h**3 - 267*h**2 - 201*h + 51.
-3*(h + 1)*(h + 17)*(5*h - 1)
Factor 5*n**2/6 - 3715*n - 922295/6.
5*(n - 4499)*(n + 41)/6
Solve -5*v**5 + 3775*v**4 + 26610*v**3 + 45740*v**2 - 15160*v - 60960 = 0 for v.
-4, -2, 1, 762
Find l such that 5*l**3/4 + 2735425*l**2/4 + 374126128815*l/4 - 374128864245/4 = 0.
-273543, 1
Solve 196*x**4 + 15512*x**3 - 30092*x**2 - 49440*x - 15552 = 0.
-81, -4/7, 3
Suppose h**5/2 - 17*h**4/2 - 47*h**3 + 280*h**2 + 1200*h = 0. What is h?
-5, -4, 0, 6, 20
Solve 119*l**3/3 + 106507*l**2/3 - 318796*l/3 - 1796 = 0.
-898, -2/119, 3
Solve 6*p**5 + 33158*p**4 + 408306*p**3 + 1489042*p**2 + 1444728*p + 330840 = 0.
-5514, -6, -5, -1, -1/3
Let a**2/4 - 2577*a/4 - 1289/2 = 0. Calculate a.
-1, 2578
Factor -441*h**3 - 206885*h**2 - 236392*h/9 - 7504/9.
-(h + 469)*(63*h + 4)**2/9
Factor u**3/4 - 997*u**2/4 - 999*u/2.
u*(u - 999)*(u + 2)/4
Suppose -r**5/11 - 292*r**4/11 - 1432*r**3/11 + 874*r**2/11 + 3721*r/11 - 2870/11 = 0. What is r?
-287, -5, -2, 1
Factor -3*u**4 - 51216*u**3 - 218538666*u**2 + 437230992*u - 218641107.
-3*(u - 1)**2*(u + 8537)**2
Factor l**4/2 - 27167*l**3 + 162993*l**2/2.
l**2*(l - 54331)*(l - 3)/2
Let 14*t**4 - 2250*t**3 + 8078*t**2 + 13482*t + 3140 = 0. Calculate t.
-1, -2/7, 5, 157
Determine i, given that i**3/2 - 9*i**2/2 + 7*i + 12 = 0.
-1, 4, 6
Suppose -142*c**2/9 - 92062*c/3 + 7780/9 = 0. Calculate c.
-1945, 2/71
Determine p so that -3*p**5 - 249*p**4 - 3111*p**3 + 6981*p**2 - 3618*p = 0.
-67, -18, 0, 1
Factor 2*v**3/3 - 1037*v**2/3 + 6649*v/3 + 3584/3.
(v - 512)*(v - 7)*(2*v + 1)/3
Suppose 722*z**3/5 - 8056*z**2/5 + 5984*z - 36992/5 = 0. Calculate z.
68/19, 4
Factor y**4 - 56*y**3 - 76*y**2 + 28880*y.
y*(y - 38)**2*(y + 20)
Determine k, given that 4*k**3 - 3600*k**2 + 971700*k - 68651000 = 0.
110, 395
Let 3*i**3 + 876*i**2 - 12708*i + 44064 = 0. Calculate i.
-306, 6, 8
Determine k, given that -k**4/2 + 556*k**3 + 192276*k**2 + 19784240*k + 661657976 = 0.
-98, 1406
Find k such that -3*k**3 + 1761*k**2 - 19062*k + 31104 = 0.
2, 9, 576
Suppose 2*w**2/15 + 374*w/5 - 1128/5 = 0. Calculate w.
-564, 3
Factor 2*h**2 - 43460*h + 236096450.
2*(h - 10865)**2
Factor -i**2/8 - 5291*i/4 - 27994681/8.
-(i + 5291)**2/8
Suppose v**5/7 - 9*v**4 + 785*v**3/7 - 3225*v**2/7 + 5094*v/7 - 2592/7 = 0. What is v?
1, 2, 3, 9, 48
Factor -2*a**3/11 - 824*a**2/11 + 826*a/11.
-2*a*(a - 1)*(a + 413)/11
Factor y**3/7 - 747*y**2/7 + 12392*y/7 + 13140/7.
(y - 730)*(y - 18)*(y + 1)/7
Factor m**2/2 + 8866*m - 17733/2.
(m - 1)*(m + 17733)/2
Solve -u**4 + 78*u**3 + 4731*u**2 + 37432*u - 42240 = 0 for u.
-32, -11, 1, 120
Factor d**2/4 - 72773*d/4 + 18193.
(d - 72772)*(d - 1)/4
Solve 2*d**3/5 - 1116*d**2/5 + 2224*d/5 = 0 for d.
0, 2, 556
Suppose a**2 - 113007*a + 226010 = 0. What is a?
2, 113005
Factor k**3/5 - 17*k**2 - 753*k/5 + 837/5.
(k - 93)*(k - 1)*(k + 9)/5
Suppose q**4/3 - 41*q**3/3 + 361*q**2/3 + 163*q - 270 = 0. Calculate q.
-2, 1, 15, 27
Factor -k**2/3 + 69*k + 208/3.
-(k - 208)*(k + 1)/3
Let 2*c**5 - 706*c**4 + 28966*c**3 + 6443530*c**2 + 19117176*c + 12703320 = 0. Calculate c.
-70, -2, -1, 213
Let -195*r**3 - 11892*r**2 + 183*r = 0. What is r?
-61, 0, 1/65
Let -4*z**4 + 744852*z**3 - 34674908940*z**2 - 34675653796*z = 0. What is z?
-1, 0, 93107
Suppose -x**3/9 - 1286*x**2/9 + 5252*x - 47592 = 0. Calculate x.
-1322, 18
Factor -3*v**2 - 30*v + 2625.
-3*(v - 25)*(v + 35)
Find m such that m**3/2 - 105*m**2 + 6401*m/2 - 24150 = 0.
12, 23, 175
Factor 4*s**2 - 1470560*s + 135159169600.
4*(s - 183820)**2
Determine z so that z**2 + 742*z + 741 = 0.
-741, -1
Let -2*d**4 - 1938*d**3 + 59942*d**2 + 1938*d - 59940 = 0. What is d?
-999, -1, 1, 30
Factor -5*x**2 + 5900*x - 17655.
-5*(x - 1177)*(x - 3)
Find x such that -x**2/2 - 428*x - 855/2 = 0.
-855, -1
Factor 5*o**4 - 405*o**3 + 9395*o**2 - 44955*o - 54760.
5*(o - 37)**2*(o - 8)*(o + 1)
Let -t**2/2 - 43701*t - 1909777401/2 = 0. Calculate t.
-43701
Factor 5*p**2 - 131545*p + 394590.
5*(p - 26306)*(p - 3)
Let -2*i**2/11 - 70*i/11 + 72/11 = 0. What is i?
-36, 1
Suppose -5*f**2 + 85650*f - 366796125 = 0. Calculate f.
8565
Solve a**2 + 760*a - 1524 = 0.
-762, 2
Solve 392*n**5/5 - 33768*n**4/5 + 650*n**3 + 26980*n**2 - 19272*n/5 + 688/5 = 0.
-2, 1/14, 2, 86
Solve -2885*u**4 + 11530*u**3 - 11500*u**2 - 40*u = 0.
-2/577, 0, 2
Factor 4*o**2 + 9324*o + 129752.
4*(o + 14)*(o + 2317)
Solve -2*m**4 + 78*m**3 - 588*m**2 - 832*m + 1344 = 0 for m.
-2, 1, 12, 28
Factor 18*j**2/7 + 974*j/7 - 2964/7.
2*(j + 57)*(9*j - 26)/7
Factor 2*y**2 - 29688*y + 110172168.
2*(y - 7422)**2
Find d, given that 25*d**4 + 86115*d**3 + 223690*d**2 - 137820*d - 481880 = 0.
-3442, -2, 7/5
Suppose -5*s**5 + 40*s**3 + 30*s**2 - 35*s - 30 = 0. What is s?
-2, -1, 1, 3
Solve b**4/5 - 18*b**3/5 - 21*b**2/5 + 38*b/5 = 0 for b.
-2, 0, 1, 19
Factor -3*p**2 - 7197*p + 7200.
-3*(p - 1)*(p + 2400)
Solve -4*g**5 - 6432*g**4 - 38496*g**3 - 76928*g**2 - 51264*g = 0.
-1602, -2, 0
Factor 4*i**3/5 - 268*i**2/5 - 7352*i/5 - 8544.
4*(i - 89)*(i + 10)*(i + 12)/5
What is w in w**3 + 3158*w**2 + 2496396*w + 4980168 = 0?
-1578, -2
What is b in 2*b**5/5 - 68*b**4 + 1978*b**3/5 - 1616*b**2/5 - 3936*b/5 = 0?
-1, 0, 3, 4, 164
Solve 6*h**5 - 1677*h**4/4 + 3099*h**3/2 - 3951*h**2/4 - 297*h/2 = 0.
-1/8, 0, 1, 3, 66
Let 2*b**2/5 - 35832*b/5 + 160491528/5 = 0. Calculate b.
8958
Factor -x**2 - 1617*x + 8110.
-(x - 5)*(x + 1622)
Let -4*v**2 + 340*v + 464744 = 0. Calculate v.
-301, 386
Factor 3*z**3 - 797694*z**2 + 53026309803*z.
3*z*(z - 132949)**2
Factor 6*w**3/5 + 24980*w**2 + 650042048*w/5 + 433305856/5.
2*(w + 10408)**2*(3*w + 2)/5
Determine b so that 400*b**4/9 + 110*b**3/3 + 6*b**2 = 0.
-3/5, -9/40, 0
Determine q, given that -q**5/4 - 44307*q**4/4 - 122666696*q**3 + 613521797*q**2 - 981732360*q + 490888336 = 0.
-22156, 1, 2
Factor -2*w**2/11 + 508*w/11 - 2478.
-2*(w - 177)*(w - 77)/11
Find j, given that -5*j**5 + 155*j**4 - 115*j**3 - 1055*j**2 + 120*j + 900 = 0.
-2, -1, 1, 3, 30
Suppose -4*h**3 - 576*h**2 - 16124*h - 94176 = 0. Calculate h.
-109, -27, -8
Factor -x**2/4 + 3899*x/4 + 8793.
-(x - 3908)*(x + 9)/4
What is v in 5*v**2 - 625*v + 10920 = 0?
21, 104
Suppose 10*g**4 + 63022*g**3 + 12604*g**2 = 0. What is g?
-6302, -1/5, 0
Factor -26*d**3 - 248*d**2 + 7294*d - 29988.
-2*(d - 7)**2*(13*d + 306)
Factor -3*s**2 + 2928*s.
-3*s*(s - 976)
Factor -2*c**3 + 454*c**2 + 460*c - 912.
-2*(c - 228)*(c - 1)*(c + 2)
Find q such that -4*q**5 + 296*q**4 - 6636*q**3 + 40376*q**2 + 290864*q - 2996448 = 0.
-7, 14, 39
Let 2*m**5/9 - 548*m**4/9 + 37442*m**3/9 + 26560*m**2/9 - 1871968*m/9 + 4804864/9 = 0. Calculate m.
-8, 4, 137
Factor -u**5/3 - 76*u**4/3 - 348*u**3.
-u**3*(u + 18)*(u + 58)/3
Factor 5*a**3/4 - 7215*a**2/4 + 14415*a/4 - 7205/4.
5*(a - 1441)*(a - 1)**2/4
Find p, given that -6*p**5/7 - 1672*p**4/7 + 4000*p**3/7 + 18612*p**2/7 + 18566*p/7 + 5620/7 = 0.
-281, -1, -2/3, 5
Factor p**4/6 + 20*p**3/3 - 43*p**2/6 - 41*p/3.
p*(p - 2)*(p + 1)*(p + 41)/6
Find p such that -p**4/2 - 104*p**3 - 3609*p**2/2 - 1701*p = 0.
-189, -18, -1, 0
Let 2*q**3/5 - 328*q**2/5 + 2390*q - 94424/5 = 0. What is q?
11, 37, 116
Factor 512*b**4 - 98112*b**3 + 4779218*b**2 - 7573020*b + 3050450.
2*(b - 95)**2*(16*b -