 - 1840*j - 211600.
-4*(j + 230)**2
Factor -243*a**5/2 - 621*a**4 - 2127*a**3/2 - 690*a**2 - 150*a.
-3*a*(a + 2)**2*(9*a + 5)**2/2
Determine a so that -a**3/8 + 287*a**2/4 - 1145*a/8 + 143/2 = 0.
1, 572
Let 3*i**2 + 177*i - 366 = 0. Calculate i.
-61, 2
Factor -3*l**2/2 + 69*l - 135/2.
-3*(l - 45)*(l - 1)/2
Find w, given that 2*w**2 - 2648*w + 876488 = 0.
662
Factor 5*n**2/6 - 355*n/3 - 725/2.
5*(n - 145)*(n + 3)/6
Factor 5*b**4/3 + 20*b**3/3 - 185*b**2/3 + 340*b/3 - 60.
5*(b - 2)**2*(b - 1)*(b + 9)/3
Determine c, given that -2*c**3/3 - 34*c**2/3 + 160*c/3 - 56 = 0.
-21, 2
Let -3*g**5 - 1497*g**4 + 4509*g**3 - 4515*g**2 + 1506*g = 0. Calculate g.
-502, 0, 1
Factor -z**2/3 + 13*z/3 + 10.
-(z - 15)*(z + 2)/3
Let -3*v**4/8 + 9*v**2/8 - 3*v/4 = 0. What is v?
-2, 0, 1
Factor -2*p**3/17 + 5358*p**2/17 - 3585840*p/17 - 3591200/17.
-2*(p - 1340)**2*(p + 1)/17
Factor 3*t**2 + 105*t + 288.
3*(t + 3)*(t + 32)
Factor 5*p**4 + 15*p**3 - 155*p**2 - 15*p + 630.
5*(p - 3)**2*(p + 2)*(p + 7)
Suppose 4*v**4 + 2588*v**3 - 5188*v**2 + 2596*v = 0. What is v?
-649, 0, 1
Let -2*w**2/13 - 268*w/13 + 1974/13 = 0. What is w?
-141, 7
Factor 3*m**4 - 216*m**3 + 3174*m**2 + 26208*m + 22815.
3*(m - 39)**2*(m + 1)*(m + 5)
Let f**5/2 + 77*f**4 + 7269*f**3/2 + 51590*f**2 + 224450*f = 0. Calculate f.
-67, -10, 0
Factor -r**2 + 233*r.
-r*(r - 233)
Suppose d**5/4 + d**4/4 - 4*d**3 + 5*d**2 = 0. What is d?
-5, 0, 2
Factor -2*f**4/9 - 10*f**3/9 - 14*f**2/9 - 2*f/3.
-2*f*(f + 1)**2*(f + 3)/9
Let -3*r**5/5 - 24*r**4/5 - 21*r**3/5 = 0. Calculate r.
-7, -1, 0
Factor -10*w**3/7 - 18*w**2/7 + 4*w/7.
-2*w*(w + 2)*(5*w - 1)/7
Factor t**5 - 5*t**4 + 10*t**3 - 10*t**2 + 5*t - 1.
(t - 1)**5
Factor -76*z**3/9 + 16*z**2 + 16*z/9.
-4*z*(z - 2)*(19*z + 2)/9
Solve -822*j**3/11 + 1382*j**2/11 + 48*j - 8/11 = 0 for j.
-1/3, 2/137, 2
Solve 2*v**4 - 52*v**3 - 6*v**2 + 160*v - 104 = 0.
-2, 1, 26
Solve -5*a**3 + 55*a**2 - 130*a + 80 = 0.
1, 2, 8
Factor -5*w**3 - 45*w**2 - 10*w + 240.
-5*(w - 2)*(w + 3)*(w + 8)
Suppose y**3/4 + 251*y**2/4 - y/4 - 251/4 = 0. Calculate y.
-251, -1, 1
Factor 5*n**5/2 + 4*n**4 + n**3/2 - n**2.
n**2*(n + 1)**2*(5*n - 2)/2
Let -2*d**5/5 - 22*d**4/5 - 12*d**3/5 + 296*d**2/5 + 784*d/5 + 576/5 = 0. What is d?
-9, -2, 4
Solve -2*d**4/13 - 206*d**3/13 - 196*d**2/13 + 824*d/13 + 816/13 = 0.
-102, -2, -1, 2
Let 2*p**2/5 + 2*p - 168/5 = 0. Calculate p.
-12, 7
Factor 2*i**4 - 76*i**3 + 858*i**2 - 2584*i + 2312.
2*(i - 17)**2*(i - 2)**2
Find i such that i**5/2 - 5*i**4 - 127*i**3/2 + 278*i**2 + 3480*i + 7200 = 0.
-5, -4, 12
Factor -2*m**4 + 60*m**3 + 62*m**2.
-2*m**2*(m - 31)*(m + 1)
Factor -8*b**5 + 440*b**4 + 446*b**3 + 112*b**2.
-2*b**2*(b - 56)*(2*b + 1)**2
What is s in s**2/2 + 404*s + 2415/2 = 0?
-805, -3
Factor 4*w**3 + 148*w**2 + 1276*w - 1428.
4*(w - 1)*(w + 17)*(w + 21)
Determine k so that -k**5 + 12*k**4 + k**3 - 160*k**2 + 324*k - 176 = 0.
-4, 1, 2, 11
Factor -3*i**3 + 81*i**2.
-3*i**2*(i - 27)
Determine k, given that 2*k**2 + 34*k = 0.
-17, 0
Let 5*o**2 + 150*o = 0. What is o?
-30, 0
Solve -5*k**5 + 190*k**4 + 210*k**3 - 560*k**2 - 965*k - 390 = 0 for k.
-1, 2, 39
Find t, given that 4*t**4 + 88*t**3 - 1968*t**2 + 9128*t - 7252 = 0.
-37, 1, 7
Determine v so that 20*v**5 - 68*v**4 + 12*v**3 + 36*v**2 = 0.
-3/5, 0, 1, 3
Determine o, given that 3*o**2 - 5922*o + 2922507 = 0.
987
Factor -3*k**3 + 426*k**2.
-3*k**2*(k - 142)
Factor 68*w**2 - 84*w + 16.
4*(w - 1)*(17*w - 4)
Let -284089*c**2/4 - 533*c/2 - 1/4 = 0. Calculate c.
-1/533
Solve 10*w**2 - 8*w = 0.
0, 4/5
Solve 2*m**3/13 - 4*m**2/13 = 0.
0, 2
Factor 2*b**3/9 + 56*b**2/9 + 106*b/9 + 52/9.
2*(b + 1)**2*(b + 26)/9
Factor -10*l**2 - 7435*l + 3720.
-5*(l + 744)*(2*l - 1)
Factor -2*y**3 + 2*y.
-2*y*(y - 1)*(y + 1)
Let b**2/2 - 69*b/2 + 34 = 0. Calculate b.
1, 68
Find l, given that 2*l**4/7 - 170*l**3/7 - 522*l**2/7 - 526*l/7 - 176/7 = 0.
-1, 88
Factor -x**5 - 16*x**4 + 43*x**3 + 130*x**2 + 72*x.
-x*(x - 4)*(x + 1)**2*(x + 18)
Factor -4*a**4 + 204*a**3 + 16*a**2 - 816*a.
-4*a*(a - 51)*(a - 2)*(a + 2)
Factor -2*r**3/5 - 154*r**2/5 - 2886*r/5 + 3042/5.
-2*(r - 1)*(r + 39)**2/5
Suppose 320*y**5 + 6000*y**4 - 110820*y**3 - 85315*y**2 - 21510*y - 1800 = 0. Calculate y.
-30, -1/4, 12
Factor 20*m**4 - 625*m**3 - 1165*m**2 + 330*m.
5*m*(m - 33)*(m + 2)*(4*m - 1)
Suppose -15*o**3 - 3*o**2 = 0. Calculate o.
-1/5, 0
Suppose n**5/2 + 7*n**4 - 79*n**3/2 - 520*n**2 + 1128*n - 576 = 0. What is n?
-12, 1, 8
Determine t, given that -3*t**3 + 6*t**2 + 252*t - 1080 = 0.
-10, 6
Determine k so that 4*k**3 - 108*k**2 + 780*k - 676 = 0.
1, 13
Factor 21*k**2/8 + 705*k/4 + 201/8.
3*(k + 67)*(7*k + 1)/8
Determine c, given that c**2/3 - 33*c + 470/3 = 0.
5, 94
Determine h, given that -2*h**3 + 792*h**2 - 790*h = 0.
0, 1, 395
Factor 2*f**3/3 - 230*f**2/3 - 946*f/3 - 238.
2*(f - 119)*(f + 1)*(f + 3)/3
Factor -2*f**4/17 + 54*f**3/17 + 174*f**2/17 + 178*f/17 + 60/17.
-2*(f - 30)*(f + 1)**3/17
Determine y, given that -4*y**2/7 + 64*y/7 + 144/7 = 0.
-2, 18
Find j, given that 144*j**5/7 + 312*j**4/7 - 116*j**3/7 + 10*j**2/7 = 0.
-5/2, 0, 1/6
Factor -3*h**5/4 - 27*h**4/4 - 45*h**3/4 - 21*h**2/4.
-3*h**2*(h + 1)**2*(h + 7)/4
What is t in 22*t**4 - 51*t**3 + 34*t**2 - 3*t - 2 = 0?
-2/11, 1/2, 1
Suppose -d**3/7 - 222*d**2/7 - 9516*d/7 + 327448/7 = 0. What is d?
-122, 22
Find l such that -2*l**2 + 46*l + 48 = 0.
-1, 24
Suppose 4*y**2/5 - 124*y/5 + 936/5 = 0. What is y?
13, 18
Factor -w**2/3 + 5*w/3 + 22.
-(w - 11)*(w + 6)/3
Factor 3*w**5 + 90*w**4 + 1023*w**3 + 5352*w**2 + 12096*w + 7680.
3*(w + 1)*(w + 5)*(w + 8)**3
Factor -2*h**2 + 596*h + 598.
-2*(h - 299)*(h + 1)
Suppose 84*o**5/5 - 44*o**4 + 112*o**3/5 - 16*o**2/5 = 0. What is o?
0, 2/7, 1/3, 2
Suppose t**3/3 + 26*t**2/3 + 25*t/3 = 0. What is t?
-25, -1, 0
Find t such that -6*t**4 - 945*t**3/2 + 1197*t**2/2 - 120*t = 0.
-80, 0, 1/4, 1
Let 3*k**4/4 - 155*k**3/2 - 1096*k**2 - 696*k = 0. What is k?
-12, -2/3, 0, 116
Suppose -2*i**3/5 - 56*i**2/5 + 14*i + 348/5 = 0. What is i?
-29, -2, 3
Factor j**5/3 - 5*j**4/3 - j**3 + 17*j**2/3 - 10*j/3.
j*(j - 5)*(j - 1)**2*(j + 2)/3
Find d such that -3*d**2/7 - 12*d/7 - 12/7 = 0.
-2
Solve -8*b**3 - 36*b**2 - 48*b - 16 = 0.
-2, -1/2
Suppose -5*s**5 + 15*s**4 + 45*s**3 + 25*s**2 = 0. Calculate s.
-1, 0, 5
Factor 2*x**3/13 - 46*x**2/13.
2*x**2*(x - 23)/13
Suppose -4*b**2 - 188*b = 0. Calculate b.
-47, 0
Determine a so that 3*a**3/4 - 195*a**2/4 + 186*a - 183 = 0.
2, 61
Factor -21*v**2 - 19*v + 2.
-(v + 1)*(21*v - 2)
Let 3*z**2 + 276*z + 273 = 0. Calculate z.
-91, -1
Factor b**4/4 - 17*b**3/2 - 37*b**2/4 + 35*b/2.
b*(b - 35)*(b - 1)*(b + 2)/4
Let j**3 + 100*j**2 - 207*j - 306 = 0. Calculate j.
-102, -1, 3
Let -3*a**2/2 + 114*a + 231/2 = 0. Calculate a.
-1, 77
Factor 3*s**3 - 33*s**2 + 24*s + 60.
3*(s - 10)*(s - 2)*(s + 1)
Let -2*l**5 + 2*l**3 = 0. What is l?
-1, 0, 1
Factor -245*b**3 + 1575*b**2 + 960*b + 140.
-5*(b - 7)*(7*b + 2)**2
Find h, given that 3*h**2/8 - 75*h + 3750 = 0.
100
Suppose -2*b**3 + 1362*b**2/7 - 388*b/7 = 0. What is b?
0, 2/7, 97
Factor -4*i**2/7 + 5000*i/7 + 10016/7.
-4*(i - 1252)*(i + 2)/7
Determine a, given that 4*a**4 + 96*a**3 + 472*a**2 - 1248*a + 676 = 0.
-13, 1
Factor -d**2 + 7*d + 18.
-(d - 9)*(d + 2)
Suppose -3*a**3/2 - 78*a**2 - 135*a/2 + 459 = 0. Calculate a.
-51, -3, 2
Solve 108*r**4 + 420*r**3 + 520*r**2 + 240*r + 32 = 0.
-2, -1, -2/3, -2/9
Determine c, given that c**5 - 6*c**4 - 11*c**3 + 84*c**2 - 116*c + 48 = 0.
-4, 1, 2, 6
Let -2*i**5/7 + 666*i**4/7 + 4042*i**3/7 + 8790*i**2/7 + 8128*i/7 + 2712/7 = 0. What is i?
-2, -1, 339
Determine k so that -10*k**2/9 - 44*k/9 - 16/9 = 0.
-4, -2/5
Factor -2*z**4/3 + 32*z**3/3 - 32*z**2.
-2*z**2*(z - 12)*(z - 4)/3
Find v, given that -5*v**4/3 - 730*v**3/3 - 25145*v**2/3 + 36500*v - 37500 = 0.
-75, 2
Find c, given that -1600*c**5 - 4960*c**4 + 28316*c**3 + 2868*c**2 + 72*c = 0.
-6, -1/20, 0, 3
Factor 2*m**2/3 + 34*m/3 - 12.
2*(m - 1)*(m + 18)/3
Let -3*i**3/2 + 33*i**2 - 303*i/2 + 120 = 0. What is i?
1, 5, 16
Suppose -x**4/8 - x**3/4 + 119*x**2/8 - 87*x/2 - 117/2 = 0. What is x?
-13, -1, 6
Factor s**4/9 + 13*s**3/3 + 154*s**2/3 + 980*s/9 - 2744/3.
(s - 3)*(s + 14)**3/9
Suppose 2*a**4/17 - 1104*a**3/17 - 2214*a**2/17 - 1108*a/17 = 0. What is a?
-1, 0, 554
Factor m**4/2 + 63*m**3/2 + 123*m**2/2 + 61*m/2.
m*(