995*i - 495 = 0. What is i?
-99, -1
Suppose u**5/2 - 21*u**4/2 + 85*u**3 - 325*u**2 + 1125*u/2 - 625/2 = 0. What is u?
1, 5
What is n in 15*n**5/8 - 39*n**4/4 + 15*n**3/2 + 63*n**2/4 - 27*n/8 = 0?
-1, 0, 1/5, 3
Let 2*h**4/7 - 62*h**3/7 + 132*h**2/7 + 144*h = 0. What is h?
-3, 0, 6, 28
Suppose 2*s**4/17 - 3652*s**3/17 + 3648*s**2/17 + 3652*s/17 - 3650/17 = 0. Calculate s.
-1, 1, 1825
Factor 5*j**3 - 75*j**2 + 190*j - 120.
5*(j - 12)*(j - 2)*(j - 1)
Factor 5*r**4 + 30*r**3 - 5*r**2 - 30*r.
5*r*(r - 1)*(r + 1)*(r + 6)
Solve -5*n**4 + 15*n**3 + 300*n**2 + 500*n = 0.
-5, -2, 0, 10
Solve 4*p**3 - 8*p**2 = 0.
0, 2
Suppose -3*z**2/7 - 156*z/7 - 2025/7 = 0. What is z?
-27, -25
Find x, given that 3*x**5 - 27*x**4 + 87*x**3 - 129*x**2 + 90*x - 24 = 0.
1, 2, 4
Find g, given that 225*g**5 - 52410*g**4 + 203275*g**3 - 139590*g**2 - 23020*g + 27480 = 0.
-2/5, 2/3, 3, 229
Solve -3*d**5/2 - 57*d**4/2 - 345*d**3/2 - 675*d**2/2 = 0.
-9, -5, 0
Find i, given that -2*i**5/3 + 32*i**4/3 + 12*i**3 - 32*i**2/3 - 34*i/3 = 0.
-1, 0, 1, 17
Determine u, given that -33*u**5/8 + 5283*u**4/4 - 12447*u**3/8 + 957*u**2/4 = 0.
0, 2/11, 1, 319
Factor 2*o**2 + 80*o + 78.
2*(o + 1)*(o + 39)
Factor -w**2 + 111*w - 218.
-(w - 109)*(w - 2)
What is l in -4*l**5/5 + 168*l**4/5 - 1276*l**3/5 - 168*l**2/5 + 256*l = 0?
-1, 0, 1, 10, 32
What is m in -m**3/5 + 308*m**2/5 - 23716*m/5 = 0?
0, 154
Factor -p**3 - 413*p**2 + 1248*p.
-p*(p - 3)*(p + 416)
What is x in -6*x**4 - 783*x**3/2 + 1449*x**2/2 + 2823*x/2 + 603/2 = 0?
-67, -1, -1/4, 3
Suppose -2*y**5/9 + 740*y**4/9 + 248*y**3 + 2236*y**2/9 + 746*y/9 = 0. What is y?
-1, 0, 373
Find h, given that h**3 + 20*h**2 + 51*h = 0.
-17, -3, 0
Suppose -75*x**5/8 - 495*x**4/4 - 2547*x**3/8 + 633*x**2/2 - 135*x/2 = 0. What is x?
-9, -5, 0, 2/5
Factor -15*q**3 + 2049*q**2 + 2892*q + 828.
-3*(q - 138)*(q + 1)*(5*q + 2)
Determine q, given that 2*q**2/7 - 4*q + 26/7 = 0.
1, 13
Let 3*c**3 + 72*c**2 + 252*c - 2352 = 0. Calculate c.
-14, 4
Factor 4*v**2 - 76*v.
4*v*(v - 19)
Factor 4*b**2 + 24*b - 108.
4*(b - 3)*(b + 9)
Solve 4*a**4 - 28*a**3 + 144*a = 0 for a.
-2, 0, 3, 6
Determine q, given that 5*q**4 + 160*q**3 + 95*q**2 - 1860*q = 0.
-31, -4, 0, 3
What is h in 2*h**5/7 - 656*h**4/7 - 1318*h**3/7 - 660*h**2/7 = 0?
-1, 0, 330
Determine y so that -4*y**2/5 + 396*y/5 + 968 = 0.
-11, 110
Factor -2*t**2/7 - 142*t/7 - 144.
-2*(t + 8)*(t + 63)/7
Solve 2*p**4/3 + 68*p**3/3 + 406*p**2/3 + 772*p/3 + 144 = 0 for p.
-27, -4, -2, -1
Determine y so that y**4/5 + 58*y**3/5 + 113*y**2/5 + 56*y/5 = 0.
-56, -1, 0
Suppose -2*z**5 + 4*z**4 = 0. Calculate z.
0, 2
Suppose i**2/5 + 29*i/5 = 0. What is i?
-29, 0
Factor 3*h**3 + 10944*h**2 + 13307904*h + 5394137088.
3*(h + 1216)**3
Let -39*g**3 - 3204*g**2 + 2745*g + 498 = 0. Calculate g.
-83, -2/13, 1
Solve 2*z**2/7 - 1474*z/7 = 0.
0, 737
Suppose -32*a**5/7 - 656*a**4/7 - 2210*a**3/7 + 1576*a**2/7 + 166*a + 160/7 = 0. Calculate a.
-16, -5, -1/4, 1
Suppose 30*y**5/11 + 972*y**4/11 - 2796*y**3/11 - 2232*y**2/11 + 2766*y/11 + 1260/11 = 0. What is y?
-35, -1, -2/5, 1, 3
Factor -5*c**4/6 - 265*c**3/2.
-5*c**3*(c + 159)/6
Factor -4*s**3 + 7056*s**2 - 3111696*s.
-4*s*(s - 882)**2
Let 2*k**2/3 - 109*k + 162 = 0. What is k?
3/2, 162
Factor -7*j**4/5 - 4*j**3/5 + 7*j**2/5 + 4*j/5.
-j*(j - 1)*(j + 1)*(7*j + 4)/5
Solve -8*f**4/3 - 338*f**3/3 - 1596*f**2 - 23128*f/3 - 5488/3 = 0 for f.
-14, -1/4
Factor -x**2 - 34*x/5 - 48/5.
-(x + 2)*(5*x + 24)/5
Solve 4*g**5 - 12*g**4 - 388*g**3 + 1196*g**2 - 1200*g + 400 = 0.
-10, 1, 10
What is r in -r**3 + 100*r**2 - 2173*r - 16854 = 0?
-6, 53
Factor -2*n**4/5 + 4*n**3 + 46*n**2/5 + 24*n/5.
-2*n*(n - 12)*(n + 1)**2/5
Find u such that -3*u**4 + 12*u**3 + 81*u**2 + 114*u + 48 = 0.
-2, -1, 8
Suppose -t**2 - 233*t - 690 = 0. What is t?
-230, -3
Factor t**2/2 - 917*t + 840889/2.
(t - 917)**2/2
Factor -4*d**2/5 + 172*d/5.
-4*d*(d - 43)/5
Determine b, given that -b**5 - 10*b**4 - 7*b**3 + 18*b**2 = 0.
-9, -2, 0, 1
Solve -18*b**5/11 - 2*b**4 + 50*b**3/11 + 102*b**2/11 + 56*b/11 + 8/11 = 0 for b.
-1, -2/9, 2
Factor n**3 + 6*n**2 + 3*n - 10.
(n - 1)*(n + 2)*(n + 5)
Factor x**5 + 3*x**4 - 4*x**2.
x**2*(x - 1)*(x + 2)**2
Determine t, given that -275*t**4 + 1865*t**3 - 3535*t**2 + 895*t + 1050 = 0.
-2/5, 1, 3, 35/11
Suppose -2*z**4 + 276*z**3 + 560*z**2 = 0. What is z?
-2, 0, 140
Factor -3*a**3 + 84*a**2 + 1617*a + 6174.
-3*(a - 42)*(a + 7)**2
Determine x, given that 2*x**3/7 + 1368*x**2/7 + 5448*x/7 + 5440/7 = 0.
-680, -2
Let -2*k**4 + 24*k**3 + 408*k**2 - 3584*k - 18816 = 0. What is k?
-12, -4, 14
Solve 5*f**2 + 10*f = 0.
-2, 0
Find m such that -m**5/2 - 3*m**4/2 + 3*m**3/2 + 7*m**2/2 - 3*m = 0.
-3, -2, 0, 1
Factor -6*t**3/7 + 4968*t**2/7 + 40032*t/7 + 80256/7.
-6*(t - 836)*(t + 4)**2/7
Factor 3*p**2/5 - 10602*p/5 + 9366867/5.
3*(p - 1767)**2/5
Factor -4*y**2 - 148*y + 312.
-4*(y - 2)*(y + 39)
Solve -2*h**2 + 476*h - 474 = 0.
1, 237
Solve -x**5/2 + 2*x**4 - 5*x**3/2 + x**2 = 0.
0, 1, 2
Determine x, given that x**4/4 - 23*x**3/4 + 131*x**2/4 + 143*x/4 - 363 = 0.
-3, 4, 11
Factor -3*p**2 - 18*p - 15.
-3*(p + 1)*(p + 5)
Factor -m**3/5 + 471*m**2/5 - 939*m/5 + 469/5.
-(m - 469)*(m - 1)**2/5
Factor -15*z**4 + 55*z**3 - 30*z**2.
-5*z**2*(z - 3)*(3*z - 2)
Solve -27*x**4/4 - 249*x**3/4 - 351*x**2/2 - 144*x - 24 = 0.
-4, -1, -2/9
Determine f, given that 4*f**5 - 456*f**4 + 1784*f**3 - 2656*f**2 + 1764*f - 440 = 0.
1, 110
Factor 4*r**3 - 4*r**2 - 8*r.
4*r*(r - 2)*(r + 1)
Let -5*x**3 - 8070*x**2 - 3256245*x = 0. What is x?
-807, 0
Let -q**5 + 13*q**3 - 16*q**2 - 12*q + 16 = 0. What is q?
-4, -1, 1, 2
Find w, given that -5*w**3 + 2040*w**2 - 4065*w + 2030 = 0.
1, 406
Find i such that -i**5/5 - 2*i**4/5 + 3*i**3/5 + 8*i**2/5 + 4*i/5 = 0.
-2, -1, 0, 2
Factor p**2/2 - 7*p.
p*(p - 14)/2
Factor -2143*p**2 + p.
-p*(2143*p - 1)
Factor -2*z**3/23 + 30*z**2/23 - 72*z/23.
-2*z*(z - 12)*(z - 3)/23
Factor 2*b**3/9 - 2*b**2/9 - 32*b/9 - 40/9.
2*(b - 5)*(b + 2)**2/9
Factor -5*w**5 - 10*w**4 + 10*w**2 + 5*w.
-5*w*(w - 1)*(w + 1)**3
Let -2*u**5/13 - 828*u**4/13 - 85698*u**3/13 = 0. Calculate u.
-207, 0
Factor -v**4 + 2*v**3 + v**2 - 2*v.
-v*(v - 2)*(v - 1)*(v + 1)
Let 4*u**2 - 9608*u + 5769604 = 0. What is u?
1201
Factor -2*f**3 + 888*f**2 + 1782*f + 892.
-2*(f - 446)*(f + 1)**2
Suppose 2*j**2 - 58*j - 124 = 0. Calculate j.
-2, 31
Factor -v**4/2 - 18*v**3 - 227*v**2 - 1170*v - 4225/2.
-(v + 5)**2*(v + 13)**2/2
Suppose 1221*p**4 - 3669*p**3 + 3681*p**2 - 1239*p + 6 = 0. Calculate p.
2/407, 1
Factor 2*l**2/3 + 2416*l/3 + 1608.
2*(l + 2)*(l + 1206)/3
Determine b, given that b**5/4 - 75*b**4/4 + 1367*b**3/4 + 1519*b**2/4 - 342*b - 361 = 0.
-1, 1, 38
Factor 4*d**4 + 64*d**3 - 228*d**2.
4*d**2*(d - 3)*(d + 19)
Factor 2*a**2 + 20*a - 150.
2*(a - 5)*(a + 15)
Find x such that -294*x**3 - 1792*x**2 + 12640*x/3 - 6400/3 = 0.
-8, 20/21
Solve 2*u**3 + 220*u**2 + 8050*u + 98000 = 0.
-40, -35
Solve -16*k**2/7 - 4*k + 8/7 = 0 for k.
-2, 1/4
Suppose 70*z**4/3 + 5455*z**3 - 1185*z**2 - 10540*z/3 - 780 = 0. What is z?
-234, -1/2, -2/7, 1
Factor 3*s**3 + 183*s**2 + 2697*s - 2883.
3*(s - 1)*(s + 31)**2
Factor -p**3/4 - 54*p**2 + 435*p/4 - 109/2.
-(p - 1)**2*(p + 218)/4
Factor -5*o**4 - 375*o**3 - 695*o**2 + 2535*o - 1460.
-5*(o - 1)**2*(o + 4)*(o + 73)
Solve -5*x**2 - 3710*x - 688205 = 0 for x.
-371
Find h such that -h**5/3 - 19*h**4/3 - 73*h**3/3 - 37*h**2/3 + 74*h/3 + 56/3 = 0.
-14, -4, -1, 1
Factor g**2 + 49*g + 138.
(g + 3)*(g + 46)
Determine m so that m**3 + 13*m**2 + 35*m - 49 = 0.
-7, 1
Find v such that 2*v**2/5 - 34*v/5 + 84/5 = 0.
3, 14
Factor -55*r**3 - 4500*r**2 - 91635*r + 16810.
-5*(r + 41)**2*(11*r - 2)
Factor -c**2 + 16*c - 15.
-(c - 15)*(c - 1)
Find w such that -1250*w**4/11 + 63950*w**3/11 + 54792*w**2/11 - 9992*w/11 + 416/11 = 0.
-1, 2/25, 52
Factor -2*j**2/13 + 5544*j/13.
-2*j*(j - 2772)/13
Factor f**5 - 38*f**4 + 256*f**3 - 480*f**2.
f**2*(f - 30)*(f - 4)**2
Factor 3*l**4/2 + 30*l**3 + 33*l**2 - 1170*l + 4563/2.
3*(l - 3)**2*(l + 13)**2/2
Find s such that -2*s**5 - 2*s**4 + 12*s**3 - 4*s**2 - 10*s + 6 = 0.
-3, -1, 1
Let -3*t**5/2 + 4*t**4 + 33*t**3/2 + 5*t**2 = 0. What is t?
-2, -1/3, 0, 5
Solve -4*w**2 - 108*w - 104 = 0.
-26, -1
Factor 12*x**3/7 - 1040*x**2/7 + 684*x/7 + 344/7.
4*(x - 86)*(x - 1)*(3*x + 1)/7
Factor -5*a**5 + 45*a**4 - 150*a*