70960*q**2 + 370959*q + 1 = 0.
-1/370960, 1
Factor -4*q**3 + 88936*q**2 - 444556*q - 533496.
-4*(q - 22229)*(q - 6)*(q + 1)
Suppose -4*v**4/3 - 168*v**3 - 5012*v**2/3 + 1840*v = 0. What is v?
-115, -12, 0, 1
Solve v**4/8 - 89*v**3/8 - 535*v**2/2 + 2399*v/2 - 1242 = 0 for v.
-23, 2, 108
Suppose -14*h**5 - 3140*h**4 - 173110*h**3 + 307880*h**2 + 102024*h = 0. Calculate h.
-117, -109, -2/7, 0, 2
Factor 3*u**3 - 4080*u**2 - 155067*u.
3*u*(u - 1397)*(u + 37)
Suppose 15*y**5/2 + 39*y**4/2 - 33*y**3/2 - 39*y**2/2 + 9*y = 0. Calculate y.
-3, -1, 0, 2/5, 1
Solve 6*f**3 + 6307*f**2 + 3152*f/3 - 1051/3 = 0 for f.
-1051, -1/3, 1/6
Determine i so that -3*i**3/7 - 201*i**2/7 + 6120*i/7 - 5616 = 0.
-91, 12
Factor 2*x**3/3 + 230*x**2/3 + 8704*x/3 + 108664/3.
2*(x + 34)**2*(x + 47)/3
Solve 4*u**2 - 176080*u + 1937760400 = 0 for u.
22010
Suppose -2*p**4/9 - 248*p**3/3 + 6208*p**2/3 - 151040*p/9 + 45056 = 0. Calculate p.
-396, 8
Factor -2*h**3/17 - 5478*h**2/17 - 32814*h/17 - 49194/17.
-2*(h + 3)**2*(h + 2733)/17
Suppose 4*f**2/5 - 91104*f - 911056/5 = 0. What is f?
-2, 113882
Determine h, given that 4*h**5/7 + 188*h**4/7 + 1608*h**3/7 - 8552*h**2/7 - 3028*h - 11220/7 = 0.
-33, -17, -1, 5
Suppose -n**2 + 2403*n - 52382 = 0. Calculate n.
22, 2381
Factor -2*a**2/5 + 11442*a + 171648/5.
-2*(a - 28608)*(a + 3)/5
Solve o**4 - 24*o**3 - 27*o**2 + 50*o = 0 for o.
-2, 0, 1, 25
Solve -39*a**2 + 1299*a + 4248 = 0 for a.
-3, 472/13
Let -j**2 + 5693*j/8 + 267 = 0. Calculate j.
-3/8, 712
Let -4*t**3/7 - 1324*t**2/7 + 1336*t/7 + 2656/7 = 0. What is t?
-332, -1, 2
Find c, given that -14*c**5 - 934*c**4 - 74566*c**3/7 + 201634*c**2/7 - 52968*c/7 + 3672/7 = 0.
-51, -18, 1/7, 2
Let -2*b**5/13 - 112*b**4/13 + 8526*b**3/13 - 92116*b**2/13 - 474200*b/13 - 510000/13 = 0. Calculate b.
-102, -2, 25
Find x, given that -2*x**4/9 + 2*x**3/3 + 4990*x**2/3 + 29914*x/9 + 4984/3 = 0.
-84, -1, 89
What is z in -3*z**3 - 26127*z**2 + 287796*z + 313920 = 0?
-8720, -1, 12
Determine n so that 3*n**5/2 + 207*n**4/2 + 1314*n**3 - 15864*n**2 + 35424*n = 0.
-41, -36, 0, 4
Factor 2*h**2 - 18740*h - 56238.
2*(h - 9373)*(h + 3)
Factor -o**3 + 589*o**2 - 83650*o.
-o*(o - 350)*(o - 239)
Suppose -5*d**3/2 + 7660*d**2 + 5*d/2 - 7660 = 0. Calculate d.
-1, 1, 3064
Let -8*g**4 + 12054*g**3 - 33108*g**2 + 30086*g - 9024 = 0. What is g?
3/4, 1, 1504
What is z in z**3/2 + z**2/2 - 37*z/2 + 35/2 = 0?
-7, 1, 5
Factor -3*v**5 + 68682*v**4 - 137355*v**3 + 68676*v**2.
-3*v**2*(v - 22892)*(v - 1)**2
Factor -150*b**3 - 1211030*b**2 - 2444524594*b - 814706978.
-2*(3*b + 1)*(5*b + 20183)**2
Factor 3*w**2 - 52644*w.
3*w*(w - 17548)
Factor d**3 - 2648*d**2 + 1750325*d + 3511250.
(d - 1325)**2*(d + 2)
Determine h so that -2*h**4 - 14638*h**3 - 14636*h**2 = 0.
-7318, -1, 0
Factor -2*z**2 + 1338*z + 9464.
-2*(z - 676)*(z + 7)
Factor 3*j**3/7 + 3861*j**2/7 + 1232568*j/7 - 6259740/7.
3*(j - 5)*(j + 646)**2/7
Factor 3931*h**2/4 + 9828*h + 5.
(h + 10)*(3931*h + 2)/4
Determine d, given that 2*d**2/11 - 116*d/11 - 118/11 = 0.
-1, 59
Factor -3*f**3/4 - 7*f**2/4 + 11*f/2 + 12.
-(f + 2)*(f + 3)*(3*f - 8)/4
Determine v, given that 2*v**3 + 2546*v**2 - 46314*v + 209142 = 0.
-1291, 9
Suppose 315*d**3 + 2825*d**2 - 90*d = 0. Calculate d.
-9, 0, 2/63
Let -2*t**2/5 + 726*t/5 - 49864/5 = 0. What is t?
92, 271
Find z such that 2*z**3 - 236*z**2 + 4512*z = 0.
0, 24, 94
Let 2*x**3 + 168*x**2 + 3598*x + 11832 = 0. What is x?
-51, -29, -4
Determine r so that 195*r**5 - 5*r**4 - 1170*r**3 - 1530*r**2 - 545*r + 15 = 0.
-1, 1/39, 3
Suppose -2*o**2 + 3684*o - 11034 = 0. What is o?
3, 1839
Let -2*q**3/11 - 404*q**2/11 + 472*q + 11984/11 = 0. What is q?
-214, -2, 14
Factor -2*v**4/9 + 3796*v**3 - 145863194*v**2/9 - 32425432*v - 145931528/9.
-2*(v - 8542)**2*(v + 1)**2/9
Factor -4*v**4 - 268*v**3 - 728*v**2 + 2560*v.
-4*v*(v - 2)*(v + 5)*(v + 64)
Let -2*x**4/19 + 11316*x**3/19 - 191906*x**2/19 + 631896*x/19 - 586664/19 = 0. Calculate x.
2, 13, 5641
Factor 26*v**2/17 - 770*v/17 - 300/17.
2*(v - 30)*(13*v + 5)/17
Factor -2*b**3 - 776*b**2 + 1558*b - 780.
-2*(b - 1)**2*(b + 390)
Find g, given that 2*g**2/3 - 42596*g/3 + 468314/3 = 0.
11, 21287
Factor -a**2/2 + 7551*a/2 - 56520.
-(a - 7536)*(a - 15)/2
Factor 5*t**2 + 2720180*t + 369968961620.
5*(t + 272018)**2
Determine a so that -a**5/5 + 46*a**4 + 3108*a**3/5 + 2466*a**2 + 15309*a/5 = 0.
-7, -3, 0, 243
Determine f so that -3*f**4 - 159*f**3 - 450*f**2 + 12*f + 600 = 0.
-50, -2, 1
Solve 5*l**2 - 2075*l - 8380 = 0 for l.
-4, 419
Factor 4*n**2 + 461416*n - 1384284.
4*(n - 3)*(n + 115357)
Factor 4*u**4 - 788*u**3 + 1548*u**2 + 2340*u.
4*u*(u - 195)*(u - 3)*(u + 1)
Factor -7*d**2/3 + 376*d/3 - 355.
-(d - 3)*(7*d - 355)/3
Solve t**3/5 - 384*t**2/5 = 0 for t.
0, 384
Factor -3*m**2 - 56412*m - 265192812.
-3*(m + 9402)**2
Factor w**2 - 542*w - 3288.
(w - 548)*(w + 6)
Determine h so that -5*h**3 - 3995*h**2 - 322590*h - 318600 = 0.
-708, -90, -1
Solve -2*s**3 - 646*s**2 + 28240*s - 290400 = 0.
-363, 20
Determine m so that -2*m**4 - 524*m**3 + 26928*m**2 = 0.
-306, 0, 44
Suppose -2*n**3 - 6260*n**2 + 12534*n + 18792 = 0. Calculate n.
-3132, -1, 3
Determine k, given that k**3/3 + 47944*k**2/3 + 191536279*k - 383136486 = 0.
-23973, 2
Factor 2*f**2/7 + 3114*f/7 + 24784/7.
2*(f + 8)*(f + 1549)/7
Let -2*z**4/9 - 818*z**3/9 + 1658*z**2/9 + 5762*z/9 + 1096/3 = 0. Calculate z.
-411, -1, 4
Solve 10*y**2 - 23782*y + 4756 = 0.
1/5, 2378
Suppose 2*s**2/5 - 456*s + 502918/5 = 0. Calculate s.
299, 841
Factor -2*u**5/17 + 338*u**4/17 - 11558*u**3/17 - 226570*u**2/17 - 1223600*u/17 - 2116000/17.
-2*(u - 92)**2*(u + 5)**3/17
Find b, given that -45*b**5/7 - 36441*b**4/7 - 7517803*b**3/7 - 56646491*b**2/7 - 41187512*b/7 - 643204 = 0.
-401, -7, -2/3, -2/15
Factor -4*z**3 - 2064*z**2 - 285696*z - 4920320.
-4*(z + 20)*(z + 248)**2
Determine m so that -3*m**3/4 - 37251*m**2/4 + 9315*m + 18627 = 0.
-12418, -1, 2
Let w**3 - 68*w**2 + 1017*w + 3690 = 0. What is w?
-3, 30, 41
What is j in 2*j**2/3 - 338*j/3 - 580 = 0?
-5, 174
What is t in 4*t**4/7 - 552*t**3/7 - 22236*t**2/7 - 198832*t/7 = 0?
-17, 0, 172
Factor -4*z**2 + 319604*z + 639224.
-4*(z - 79903)*(z + 2)
Suppose 3*k**5 - 1035*k**4 + 86187*k**3 - 802629*k**2 - 1867974*k - 978120 = 0. Calculate k.
-1, 13, 114, 220
Suppose -2*o**2 - 291220*o - 10601136050 = 0. Calculate o.
-72805
Factor -c**3/3 + 144*c**2 - 14159*c/3 + 34936.
-(c - 397)*(c - 24)*(c - 11)/3
Suppose -q**5/6 + 25*q**4/2 + 3385*q**3/6 + 34445*q**2/6 + 9840*q + 13952/3 = 0. Calculate q.
-16, -1, 109
Determine x so that -x**2/3 + 576*x - 8615/3 = 0.
5, 1723
Factor 2*f**2 + 65980*f - 461958.
2*(f - 7)*(f + 32997)
Factor 5*a**3 + 280*a**2 + 4275*a + 10440.
5*(a + 3)*(a + 24)*(a + 29)
Factor 2*r**3 + 616*r**2 + 46792*r - 96064.
2*(r - 2)*(r + 152)*(r + 158)
Factor -3*b**2/8 - 297267*b/8 - 37158.
-3*(b + 1)*(b + 99088)/8
Let m**2 + 2333*m = 0. Calculate m.
-2333, 0
Factor -j**4/4 - 409*j**3/2 + 131279*j**2/4 - 1209840*j.
-j*(j - 71)**2*(j + 960)/4
Factor -3*d**2 + 12342*d - 765639.
-3*(d - 4051)*(d - 63)
Suppose -12*r**2 - 88604*r - 59064 = 0. Calculate r.
-7383, -2/3
Let -4*d**2 + 181614*d + 90808 = 0. What is d?
-1/2, 45404
Factor 7*o**2 - 5301*o + 1514.
(o - 757)*(7*o - 2)
Factor -2*j**3/3 + 3472*j**2/3 + 6952*j/3.
-2*j*(j - 1738)*(j + 2)/3
Solve 3*x**3/4 + 39*x**2/2 + 417*x/4 + 171/2 = 0 for x.
-19, -6, -1
Factor q**2 - 13958*q + 48706441.
(q - 6979)**2
Solve -3*u**2 + 903*u + 9330 = 0 for u.
-10, 311
Suppose 5*f**4 + 2365*f**3 + 16385*f**2 + 34995*f + 20970 = 0. Calculate f.
-466, -3, -1
Factor -g**2 - 14578*g - 53129521.
-(g + 7289)**2
Factor 2*v**2/13 + 24896*v/13 + 99552/13.
2*(v + 4)*(v + 12444)/13
Solve -2*r**2/15 + 1576*r/15 - 1546 = 0 for r.
15, 773
What is f in f**3/3 - 2668*f**2/3 + 3552*f = 0?
0, 4, 2664
Find k, given that 2*k**2 - 29648*k + 266670 = 0.
9, 14815
Suppose -3*z**3/5 - 15*z**2 - 156*z/5 + 2016/5 = 0. Calculate z.
-21, -8, 4
Solve 3*x**3/8 + 7413*x**2/8 - 3*x/2 - 7413/2 = 0.
-2471, -2, 2
Factor f**3/3 + 16967*f**2/3 + 28272*f + 33924.
(f + 2)*(f + 3)*(f + 16962)/3
Determine a so that -4*a**5/3 - 4*a**4/3 + 224*a**3 + 112*a**2/3 - 7424*a/3 - 3328 = 0.
-13, -2, 4, 12
Factor 2*c**2 - 38100*c + 114282.
2*(c - 19047)*(c - 3)
Factor 2*o**2/19 + 192*o/19 - 64584/19.
2*(o - 138)*(o + 234)/19
Factor 2*a**3 + 47