ctor i**2 + 95*i + 94.
(i + 1)*(i + 94)
Find v such that -2*v**5/15 + 14*v**3/15 + 4*v**2/5 = 0.
-2, -1, 0, 3
Solve -2*o**3 - 40*o**2 - 200*o = 0 for o.
-10, 0
Determine x, given that 3*x**5/4 + 133*x**4/4 + 1089*x**3/2 + 3834*x**2 + 8856*x - 7776 = 0.
-12, -9, 2/3
Factor -c**4/9 - 10*c**3/9 - 37*c**2/9 - 20*c/3 - 4.
-(c + 2)**2*(c + 3)**2/9
Determine a so that -15*a**2/7 + 3183*a/7 - 636/7 = 0.
1/5, 212
Factor -4*u**4 + 88*u**3 - 612*u**2 + 1296*u.
-4*u*(u - 9)**2*(u - 4)
Solve -2*m**5/13 + 2*m**4/13 + 34*m**3/13 + 30*m**2/13 = 0 for m.
-3, -1, 0, 5
Suppose j**5/7 - 22*j**4/7 - 3*j**3/7 + 64*j**2/7 + 44*j/7 = 0. What is j?
-1, 0, 2, 22
Factor -f**2 - 3*f + 4.
-(f - 1)*(f + 4)
Determine k, given that 3*k**5/5 + 131*k**4/5 + 77*k**3/5 - 399*k**2/5 - 104*k - 172/5 = 0.
-43, -1, -2/3, 2
Factor -48*q**3 - 423*q**2 - 303*q + 72.
-3*(q + 1)*(q + 8)*(16*q - 3)
What is k in -3*k**4/4 - 84*k**3 + 9*k**2/4 + 501*k/2 - 168 = 0?
-112, -2, 1
Solve -f**3/5 - 6*f**2/5 - 3*f/5 + 2 = 0 for f.
-5, -2, 1
Factor -2*d**2/7 - 50*d/7 + 52/7.
-2*(d - 1)*(d + 26)/7
Factor 2*d**2/7 + 5480*d/7 + 3753800/7.
2*(d + 1370)**2/7
Let 3*k**2 + 450*k - 912 = 0. What is k?
-152, 2
Factor c**2/4 + 577*c/2 + 332929/4.
(c + 577)**2/4
Factor 4*p**3/5 + 484*p**2/5 - 504*p.
4*p*(p - 5)*(p + 126)/5
Factor -w**3/2 - 493*w**2 - 122016*w - 242064.
-(w + 2)*(w + 492)**2/2
What is a in -a**2/9 + 2*a/3 + 3 = 0?
-3, 9
Factor 2*l**2 + 1392*l + 242208.
2*(l + 348)**2
Factor 2*b**5/15 - 28*b**4/15 + 26*b**3/3 - 40*b**2/3.
2*b**2*(b - 5)**2*(b - 4)/15
Factor 5*l**4 - 110*l**3 + 295*l**2 - 190*l.
5*l*(l - 19)*(l - 2)*(l - 1)
Find m such that -3*m**3 - 8700*m**2 + 3*m + 8700 = 0.
-2900, -1, 1
Determine q, given that -4*q**3/3 + 4*q**2/3 + 40*q/3 + 32/3 = 0.
-2, -1, 4
Factor 2*u**3/13 - 568*u**2/13 + 566*u/13.
2*u*(u - 283)*(u - 1)/13
Let i**4 + 112*i**3 + 109*i**2 - 222*i = 0. What is i?
-111, -2, 0, 1
Factor 171*w**3 - 1887*w**2 - 1986*w + 72.
3*(w - 12)*(w + 1)*(57*w - 2)
Determine u, given that u**2 - 76*u = 0.
0, 76
Factor -5*t**3 + 20*t**2 - 5*t - 30.
-5*(t - 3)*(t - 2)*(t + 1)
What is i in 16*i**4/3 + 8*i**3/3 - 103*i**2/3 + 49*i/3 - 2 = 0?
-3, 1/4, 2
Let -3*t**5 + 80*t**4 - 559*t**3 + 338*t**2 = 0. What is t?
0, 2/3, 13
Suppose 3*w**5/2 + 217*w**4/2 - 73*w**3 = 0. What is w?
-73, 0, 2/3
Find b, given that -5*b**5 - 5*b**4 + 110*b**3 - 10*b**2 - 345*b - 225 = 0.
-5, -1, 3
Factor o**3/12 - 17*o**2/4 - 9*o/2 + 26/3.
(o - 52)*(o - 1)*(o + 2)/12
Suppose 2*z**4/9 - 4*z**2/9 + 2/9 = 0. What is z?
-1, 1
Factor 2*j**2/9 - 40*j/9 + 200/9.
2*(j - 10)**2/9
Find h such that -24*h**2/5 - 916*h/5 - 152/5 = 0.
-38, -1/6
Find u such that -25*u**3 + 60*u**2 - 20*u = 0.
0, 2/5, 2
Determine b so that 27*b**4 + 141*b**3 - 78*b**2 - 564*b - 120 = 0.
-5, -2, -2/9, 2
Factor 3*v**3 + 6*v**2 - 15*v - 18.
3*(v - 2)*(v + 1)*(v + 3)
Let -l**3 - 48*l**2 - 47*l = 0. Calculate l.
-47, -1, 0
What is y in y**2 + 55*y - 434 = 0?
-62, 7
Suppose 5*n**5 + 10*n**4 - 45*n**3 - 10*n**2 + 40*n = 0. Calculate n.
-4, -1, 0, 1, 2
Factor 3*a**2/7 - 18*a/7 + 24/7.
3*(a - 4)*(a - 2)/7
Solve 9*l**5/2 + l**4 - 27*l**3 + 30*l**2 - 11*l/2 - 3 = 0.
-3, -2/9, 1
Solve 4*b**5/9 + 604*b**4/9 + 7360*b**3/3 + 26368*b**2 = 0 for b.
-103, -24, 0
Factor 5*c**2 + 410*c - 2640.
5*(c - 6)*(c + 88)
Solve -2*p**3 + 642*p**2 - 51840*p + 51200 = 0 for p.
1, 160
Factor -12*g**4 + 14*g**3 + 8*g**2 - 10*g.
-2*g*(g - 1)**2*(6*g + 5)
Find v, given that -2*v**2 - 420*v - 22050 = 0.
-105
Factor 8*p**3/7 + 102*p**2/7 + 10*p - 24/7.
2*(p + 1)*(p + 12)*(4*p - 1)/7
Let 4*g**4 + 20*g**3 - 12*g**2 - 180*g - 216 = 0. Calculate g.
-3, -2, 3
Factor 3*d**2/5 + 324*d/5 - 327/5.
3*(d - 1)*(d + 109)/5
Factor -4*a**5/7 + 20*a**4/7 + 228*a**3/7 + 396*a**2/7.
-4*a**2*(a - 11)*(a + 3)**2/7
What is f in 4*f**2/5 - 8*f + 64/5 = 0?
2, 8
Factor 5*i**4 - 555*i**3 + 3175*i**2 - 2625*i.
5*i*(i - 105)*(i - 5)*(i - 1)
Suppose -i**2/6 + 77*i - 460/3 = 0. Calculate i.
2, 460
Solve -3*q**3 + 639*q**2 - 38313*q + 441045 = 0 for q.
15, 99
Factor -d**3/5 + 11*d**2/5 - 6*d.
-d*(d - 6)*(d - 5)/5
Suppose d**5 + 2*d**4 + d**3 = 0. What is d?
-1, 0
Suppose 3*z**3/2 + 9*z**2/2 = 0. Calculate z.
-3, 0
Factor 3*t**4 - 1347*t**3 - 5424*t**2 - 5436*t.
3*t*(t - 453)*(t + 2)**2
Factor m**2/4 + 269*m/4 + 67.
(m + 1)*(m + 268)/4
Suppose -3*m**2/7 + 114*m = 0. What is m?
0, 266
Solve d**4/3 + 1990*d**3/3 = 0.
-1990, 0
Factor 2*c**2/9 - 22*c/3 - 140/9.
2*(c - 35)*(c + 2)/9
Suppose -15*r**4 + 21*r**3 + 24*r**2 - 12*r = 0. Calculate r.
-1, 0, 2/5, 2
Let 2*h**3/5 + 268*h**2/5 - 818*h/5 + 548/5 = 0. Calculate h.
-137, 1, 2
Suppose -6*f**3 + 170*f**2 - 368*f + 104 = 0. Calculate f.
1/3, 2, 26
Factor -2*h**2/7 - 6152*h/7 + 6154/7.
-2*(h - 1)*(h + 3077)/7
Find s such that -5*s**3 + 225*s**2 - 2815*s + 10395 = 0.
7, 11, 27
Suppose 3*d**3/8 - 75*d**2/8 + 42*d + 441/2 = 0. Calculate d.
-3, 14
Let 16*y**5/21 + 44*y**4/21 + 10*y**3/21 - 40*y**2/21 - 26*y/21 - 4/21 = 0. Calculate y.
-2, -1, -1/2, -1/4, 1
Suppose l**4 - 32*l**3 + 167*l**2 - 292*l + 156 = 0. Calculate l.
1, 2, 3, 26
Suppose 4*m**5 - 604*m**4 + 19936*m**3 + 215104*m**2 + 604160*m + 409600 = 0. Calculate m.
-4, -1, 80
Factor -3*u**3/4 - 63*u**2/4 - 108*u - 240.
-3*(u + 5)*(u + 8)**2/4
What is j in -j**3/5 + 19*j**2/5 - 18*j/5 = 0?
0, 1, 18
Factor 2*l**2 + 20*l/7 + 6/7.
2*(l + 1)*(7*l + 3)/7
Find a, given that 169*a**4/8 + 5603*a**3/4 + 187477*a**2/8 + 14223*a/2 + 1089/2 = 0.
-33, -2/13
Let 8*y**3/7 - 446*y**2/7 + 328*y/7 + 110/7 = 0. What is y?
-1/4, 1, 55
Suppose -3*l**3/4 - 63*l**2/2 - 573*l/4 - 333/2 = 0. Calculate l.
-37, -3, -2
Suppose 45*k**4 - 87*k**3 + 39*k**2 + 3*k = 0. What is k?
-1/15, 0, 1
Factor p**3/2 - 621*p**2 + 257094*p - 35478972.
(p - 414)**3/2
Solve -6*u**4 - 51*u**3 - 93*u**2 - 12*u + 36 = 0.
-6, -2, -1, 1/2
What is h in -h**2/11 + 452*h/11 - 51076/11 = 0?
226
Suppose -2*g**3/3 + 140*g**2/3 + 146*g/3 - 284/3 = 0. What is g?
-2, 1, 71
Factor -5*m**2 - 3060*m - 468180.
-5*(m + 306)**2
Suppose 4*g**3 - 84*g**2 - 180*g + 8100 = 0. Calculate g.
-9, 15
Factor d**5 + 79*d**4 + 2026*d**3 + 15390*d**2 - 37179*d + 19683.
(d - 1)**2*(d + 27)**3
Factor 2*a**4/5 + 222*a**3/5 + 1254*a**2 + 1210*a.
2*a*(a + 1)*(a + 55)**2/5
What is m in 4*m**3/3 + 104*m**2/3 - 156*m + 120 = 0?
-30, 1, 3
Factor 7*g**4 + 409*g**3 + 6446*g**2 + 13664*g + 4704.
(g + 2)*(g + 28)**2*(7*g + 3)
Factor -n**5 - 3*n**4 - n**3 + 3*n**2 + 2*n.
-n*(n - 1)*(n + 1)**2*(n + 2)
Find r such that 7*r**5 - 187*r**4 + 471*r**3 - 361*r**2 + 22*r + 48 = 0.
-2/7, 1, 24
Factor -5*t**5 - 580*t**4 - 22230*t**3 - 273780*t**2 + 296595*t.
-5*t*(t - 1)*(t + 39)**3
Factor 2*a**5/5 - 6*a**4/5 - 2*a**3/5 + 22*a**2/5 - 24*a/5 + 8/5.
2*(a - 2)*(a - 1)**3*(a + 2)/5
Factor 3*n**4/7 - 9*n**3/7 - 135*n**2/7 + 75*n.
3*n*(n - 5)**2*(n + 7)/7
Solve -s**5 - s**4/3 + 5*s**3 + 5*s**2/3 - 4*s - 4/3 = 0.
-2, -1, -1/3, 1, 2
Factor o**4 - 62*o**3 - 547*o**2 - 904*o - 420.
(o - 70)*(o + 1)**2*(o + 6)
Determine r so that 3*r**2 + 4683*r - 9378 = 0.
-1563, 2
Factor -r**2/3 + 181*r/3 - 60.
-(r - 180)*(r - 1)/3
Suppose 3*j**4/7 - 2535*j**3/7 - 12741*j**2/7 - 7677*j/7 + 22950/7 = 0. What is j?
-3, 1, 850
Solve 5*y**2 + 675*y - 2070 = 0.
-138, 3
Solve -4*g**2 + 36*g - 32 = 0.
1, 8
Factor 4*y**5 - 24*y**4 + 44*y**3 - 8*y**2 - 48*y + 32.
4*(y - 2)**3*(y - 1)*(y + 1)
What is k in -3*k**2 + 21*k - 36 = 0?
3, 4
Factor g**3/8 + 17*g**2/4 + 141*g/8 - 189/2.
(g - 3)*(g + 9)*(g + 28)/8
Factor -x**5 + 7*x**4 + 6*x**3 - 50*x**2 + 59*x - 21.
-(x - 7)*(x - 1)**3*(x + 3)
Suppose -g**5/2 - 5*g**4/2 - 3*g**3/2 + 5*g**2/2 + 2*g = 0. Calculate g.
-4, -1, 0, 1
What is b in 3*b**4/4 - 48*b**3 - 3*b**2/4 + 48*b = 0?
-1, 0, 1, 64
Let 2*m**3/7 - 66*m**2 - 930*m/7 - 466/7 = 0. Calculate m.
-1, 233
Solve -4*g**2 + 64*g - 60 = 0 for g.
1, 15
Let 4*c**2 + 492*c + 968 = 0. What is c?
-121, -2
Factor 5*s**3 - 5975*s**2 + 1788015*s - 1782045.
5*(s - 597)**2*(s - 1)
Factor k**2/4 + 2*k.
k*(k + 8)/4
Let 8*t**5/5 - 26*t**4/5 + 6*t**3/5 + 32*t**2/5 - 8*t/5 = 0. What is t?
-1, 0, 1/4, 2
Factor k**4/2 - 107*k**3/2 + 309*k**2 - 610*k + 404.
(k - 101)*(k - 2)**3/2
Suppose -4*g**3 - 296*g**2 - 5476*g = 0. Calculate g.
-37, 0
Factor -3*u**3 - 639*u**2 + 2592*u - 2604.
-3*(u - 2)**2*(u + 217)
What is u in 2*u**3/7 + 4*u**2 + 22*u/7 - 52/7 = 0?
-13, -2, 1
Factor 5*i*