 + 11)*(n + 28)/6
Find v such that 3*v**2 - 90*v = 0.
0, 30
Suppose -5*z**4 + 401*z**3/4 - 5*z**2 = 0. Calculate z.
0, 1/20, 20
What is b in -5*b**2 + 475*b - 470 = 0?
1, 94
Find i, given that -110*i**3 - 175*i**2 - 15*i = 0.
-3/2, -1/11, 0
Solve -p**4/4 + 157*p**3/4 - 8109*p**2/4 + 132023*p/4 + 148877/2 = 0.
-2, 53
Determine q, given that -q**4/4 + 9*q**3/2 - 37*q**2/4 - 99*q - 121 = 0.
-2, 11
Factor 5*h**2 + 210*h + 2205.
5*(h + 21)**2
Factor c**2/4 + 9*c/4 + 2.
(c + 1)*(c + 8)/4
Suppose -3*n**2/7 - 144*n/7 - 276/7 = 0. What is n?
-46, -2
Factor -4*p**5 + 20*p**4 - 16*p**3.
-4*p**3*(p - 4)*(p - 1)
Solve 3*s**4 + 3*s**3/2 - 12*s**2 - 6*s = 0 for s.
-2, -1/2, 0, 2
Factor 2*j**2/13 - 66*j/13 + 64/13.
2*(j - 32)*(j - 1)/13
Factor 64*a**4 - 2144*a**3 + 17412*a**2 + 9112*a + 1156.
4*(a - 17)**2*(4*a + 1)**2
Solve -2*v**3/15 - 316*v**2/15 - 62*v = 0.
-155, -3, 0
Factor i**3/5 - 302*i**2/5 + 357*i - 2664/5.
(i - 296)*(i - 3)**2/5
Let 4*r**2/7 + 120*r/7 + 116/7 = 0. Calculate r.
-29, -1
Suppose h**2 + h - 12 = 0. What is h?
-4, 3
Factor -k**5/3 + 5*k**4/3 - 4*k**3/3.
-k**3*(k - 4)*(k - 1)/3
Factor -5*u**3/4 - 1635*u**2/4 + 410*u.
-5*u*(u - 1)*(u + 328)/4
Determine b so that b**5/4 - 41*b**4/4 + 565*b**3/4 - 2775*b**2/4 + 1125*b/2 = 0.
0, 1, 10, 15
Factor -g**3/9 + 8*g**2/9 - 4*g/9 - 16/3.
-(g - 6)*(g - 4)*(g + 2)/9
Find j such that -14*j**4 - 52*j**3 + 30*j**2 + 52*j - 16 = 0.
-4, -1, 2/7, 1
Determine h, given that -7*h**2/6 - 8*h/3 - 3/2 = 0.
-9/7, -1
Solve 10*t**4/9 - 6*t**3 + 10*t**2 - 58*t/9 + 4/3 = 0 for t.
2/5, 1, 3
Factor -2*d**2/11 + 8*d/11 + 10/11.
-2*(d - 5)*(d + 1)/11
What is m in 7*m**5/3 - 39*m**4 + 428*m**3/3 - 124*m**2 - 48*m = 0?
-2/7, 0, 2, 3, 12
Find y, given that y**3 + 144*y**2 + 6912*y + 110592 = 0.
-48
Factor -4*x**4 - 13*x**3 - 8*x**2 + 7*x + 6.
-(x + 1)**2*(x + 2)*(4*x - 3)
Factor 3*g**2 - 1428*g + 169932.
3*(g - 238)**2
Determine o so that -20*o**5 + 1525*o**4 - 3345*o**3 + 1085*o**2 + 1865*o - 1110 = 0.
-3/4, 1, 74
Suppose -2*u**3 + 58*u**2 - 208*u + 200 = 0. Calculate u.
2, 25
Solve 3*l**4 - 135*l**3 + 1584*l**2 - 1452*l = 0 for l.
0, 1, 22
Factor -2*r**3/7 + 40*r**2/7.
-2*r**2*(r - 20)/7
Factor -27*b**5/2 + 117*b**4/2 - 759*b**3/8 + 273*b**2/4 - 147*b/8.
-3*b*(b - 1)**2*(6*b - 7)**2/8
What is n in -60*n**2/7 + 68*n/7 - 8/7 = 0?
2/15, 1
What is i in 4*i**4 + 104*i**3 + 436*i**2 - 3120*i + 3600 = 0?
-15, 2
Factor -3*p**5 - 450*p**4 - 16875*p**3.
-3*p**3*(p + 75)**2
Find s, given that -343*s**5/2 + 12642*s**4 - 618177*s**3/2 + 2430446*s**2 + 2795688*s - 22898016 = 0.
-3, 3, 172/7
Suppose q**2/5 + 656*q/5 + 107584/5 = 0. Calculate q.
-328
Find m such that m**5/3 + 4*m**4/3 - 19*m**3 + 40*m**2/3 + 100*m/3 = 0.
-10, -1, 0, 2, 5
Factor -5*w**4 + 40*w**3 + 360*w**2 + 800*w + 560.
-5*(w - 14)*(w + 2)**3
Factor 5*t**5 - 30*t**4 + 70*t**3 - 80*t**2 + 45*t - 10.
5*(t - 2)*(t - 1)**4
Let 4*x**4 - 332*x**3 + 1280*x**2 - 1264*x = 0. What is x?
0, 2, 79
Find t such that 2*t**5/9 - 10*t**4/3 + 148*t**3/9 - 176*t**2/9 - 64*t + 1280/9 = 0.
-2, 4, 5
Suppose -8*r**3 - 180*r**2 - 408*r - 160 = 0. What is r?
-20, -2, -1/2
Find f such that f**2/4 - 1 = 0.
-2, 2
What is z in 2*z**2 + 258*z + 256 = 0?
-128, -1
Factor -2*j**2/15 - 472*j/15 + 158/5.
-2*(j - 1)*(j + 237)/15
Factor 2*u**2/3 + 32*u/9 + 10/9.
2*(u + 5)*(3*u + 1)/9
Find y, given that 2*y**3 + 126*y**2 + 1920*y - 2048 = 0.
-32, 1
Factor -3*t**2 - 822*t + 825.
-3*(t - 1)*(t + 275)
Solve -4*a**2 - 96*a - 320 = 0.
-20, -4
Suppose 13*y**3 - 4*y**2 - 13*y + 4 = 0. Calculate y.
-1, 4/13, 1
Solve 1142*k**2/9 + 2282*k/9 - 4/9 = 0.
-2, 1/571
Find x such that -2*x**3 + 46*x**2 - 182*x - 1014 = 0.
-3, 13
Let 3*s**5 + 24*s**4 - 63*s**3 - 24*s**2 + 60*s = 0. Calculate s.
-10, -1, 0, 1, 2
Factor 4*y**2 + 9624*y.
4*y*(y + 2406)
Determine c, given that -3*c**4 + 39*c**3 - 99*c**2 + 93*c - 30 = 0.
1, 10
What is t in 3*t**5/4 + 42*t**4 + 2349*t**3/4 - 42*t**2 - 588*t = 0?
-28, -1, 0, 1
Find w such that 5*w**5 + 125*w**4 + 565*w**3 - 125*w**2 - 570*w = 0.
-19, -6, -1, 0, 1
Suppose -5*d**2 - 38*d + 16 = 0. Calculate d.
-8, 2/5
Suppose 2*g**3 - 82*g**2 + 304*g - 296 = 0. What is g?
2, 37
Determine k, given that -4*k**4 - 72*k**3 - 420*k**2 - 928*k - 576 = 0.
-9, -4, -1
Factor -r**3/3 + 14*r**2/3 - 13*r/3.
-r*(r - 13)*(r - 1)/3
Suppose -18*m**5/7 - 5388*m**4/7 - 1784*m**3/7 + 2988*m**2/7 - 598*m/7 = 0. Calculate m.
-299, -1, 0, 1/3
Factor 39*v**2 + 193*v - 10.
(v + 5)*(39*v - 2)
Suppose -2*w**3/3 - 118*w**2/3 - 1798*w/3 - 1682/3 = 0. Calculate w.
-29, -1
Factor 3*q**2 - 51*q - 330.
3*(q - 22)*(q + 5)
Factor 116*t**3 + 16*t**2 - 116*t - 16.
4*(t - 1)*(t + 1)*(29*t + 4)
Suppose 396*a**4 - 18672*a**3 + 21056*a**2 - 3648*a - 1472 = 0. What is a?
-2/11, 2/3, 46
Determine m so that 4*m**3 - 104*m**2 - 500*m + 600 = 0.
-5, 1, 30
Factor -6728*h**3/13 + 12992*h**2/13 - 594*h + 1458/13.
-2*(h - 1)*(58*h - 27)**2/13
Find b, given that 1058*b**3/7 + 1886*b**2/7 - 128*b - 2048/7 = 0.
-32/23, 1
Factor q**3/3 + 136*q**2/3 + 1919*q + 23826.
(q + 22)*(q + 57)**2/3
Let 5*l**2/3 + 20*l/3 + 20/3 = 0. What is l?
-2
What is n in -50*n**2 - 154*n/3 - 4/3 = 0?
-1, -2/75
Suppose 2*u**3/9 + 74*u**2/9 + 272*u/9 + 88/3 = 0. Calculate u.
-33, -2
Determine g so that -5*g**4 - 160*g**3 + 225*g**2 + 1980*g = 0.
-33, -3, 0, 4
Solve 72*y**2/5 + 28*y - 8/5 = 0.
-2, 1/18
Find y, given that 4*y**5 - 8*y**4 - 464*y**3 + 1440*y**2 + 13824*y - 55296 = 0.
-8, 6
Factor 2*i**5/7 + 2*i**4/7 - 346*i**3/7 - 142*i**2 + 2240*i + 9800.
2*(i - 10)**2*(i + 7)**3/7
Suppose -u**2/7 + 26*u/7 + 87/7 = 0. What is u?
-3, 29
Factor 5*d**2 + 1315*d - 1320.
5*(d - 1)*(d + 264)
Find v such that 6*v**5/11 + 18*v**4/11 - 30*v**3/11 - 18*v**2/11 + 24*v/11 = 0.
-4, -1, 0, 1
Let -3*g**3 - 120*g**2 - 444*g - 432 = 0. Calculate g.
-36, -2
Let 5*p**3 + 180*p**2 = 0. What is p?
-36, 0
Factor 2*p**3/3 - 40*p**2/3 + 134*p/3 - 32.
2*(p - 16)*(p - 3)*(p - 1)/3
Let -2*g**5 - 66*g**4 - 832*g**3 - 4864*g**2 - 12288*g - 8192 = 0. Calculate g.
-8, -1
Suppose 4*z**4/7 - 59*z**3/7 + 285*z**2/7 - 425*z/7 - 125/7 = 0. What is z?
-1/4, 5
Let -5*h**3 - 45*h**2 - 70*h = 0. What is h?
-7, -2, 0
Let 2*k**5/5 + 2*k**4/5 - 36*k**3/5 - 36*k**2/5 + 162*k/5 + 162/5 = 0. Calculate k.
-3, -1, 3
Find y such that -5*y**4 - 15*y**3 + 5*y**2 + 15*y = 0.
-3, -1, 0, 1
Suppose -38*m**3/7 - 16*m**2 + 6*m/7 = 0. What is m?
-3, 0, 1/19
Factor -15*n**3 - 6*n**2 + 39*n - 18.
-3*(n - 1)*(n + 2)*(5*n - 3)
Let x**4/2 + 103*x**3/2 + 1785*x**2 + 21386*x + 19652 = 0. Calculate x.
-34, -1
Let -2*f**4/13 + 6*f**2/13 - 4*f/13 = 0. Calculate f.
-2, 0, 1
Determine k so that 2*k**2/17 - 16600*k/17 + 34445000/17 = 0.
4150
Factor 2*z**2/3 + 266*z.
2*z*(z + 399)/3
Suppose -4*r**2 + 21920*r - 30030400 = 0. Calculate r.
2740
Find o such that 4*o**5 - 104*o**4 - 592*o**3 - 856*o**2 - 372*o = 0.
-3, -1, 0, 31
Factor 4*c**4 - 20*c**3 - 52*c**2 - 28*c.
4*c*(c - 7)*(c + 1)**2
Let 5*m**5 - 90*m**4 + 310*m**3 - 440*m**2 + 285*m - 70 = 0. Calculate m.
1, 14
Let 5*o**5 - 1580*o**4 - 6385*o**3 - 4800*o**2 = 0. What is o?
-3, -1, 0, 320
Factor -z**4 + 54*z**3 - 612*z**2 + 1066*z - 507.
-(z - 39)*(z - 13)*(z - 1)**2
Find i such that 36*i**4 - 8*i**3 - 144*i**2 + 32*i = 0.
-2, 0, 2/9, 2
Factor 4*z**3 - 356*z**2.
4*z**2*(z - 89)
Let -c**4/4 - 1879*c**3/4 + 3761*c**2/4 - 1881*c/4 = 0. What is c?
-1881, 0, 1
Factor 21*o**3/4 - 167*o**2/8 + 41*o/2 + 1/2.
(o - 2)**2*(42*o + 1)/8
Factor -9*i**3/2 + 21*i**2 + 339*i/2 + 54.
-3*(i - 9)*(i + 4)*(3*i + 1)/2
Factor 20*x**4 + 48*x**3 + 16*x**2.
4*x**2*(x + 2)*(5*x + 2)
What is s in -3*s**4 - 204*s**3 - 3468*s**2 = 0?
-34, 0
Find c, given that -2*c**3/17 - 8*c**2/17 + 24*c/17 = 0.
-6, 0, 2
Factor h**5 - 175*h**4 + 173*h**3 + 175*h**2 - 174*h.
h*(h - 174)*(h - 1)**2*(h + 1)
Let 2*x**2 + 386*x + 384 = 0. Calculate x.
-192, -1
Suppose -k**3/6 - 3*k**2/2 - 9*k/2 - 9/2 = 0. Calculate k.
-3
Suppose 2*f**4 + 28*f**3 - 64*f**2 = 0. What is f?
-16, 0, 2
Determine f so that -2*f**4/7 - 4*f**3 - 120*f**2/7 - 164*f/7 - 10 = 0.
-7, -5, -1
Factor 35*a**2 - 2470*a - 1065.
5*(a - 71)*(7*a + 3)
Solve 9*h**4 + 3*h**3 - 42*h**2 - 12*h + 24 = 0 for h.
-2, -1, 2/3, 2
Factor -3*p**3/2 + 102*p**2 + 429*p/2 - 315.
-3*(p - 70)*(p - 1)*(p + 3)/2
Factor 2*o**4 - 8*o**3 + 10*o**2 - 4*o.
2*o*(o - 2)*(o - 1)**2
Let 2*f**3/5 - 24*f**2