tor 4*w**2 - 34992*w + 76527504.
4*(w - 4374)**2
Factor -p**2 - 4*p - 3.
-(p + 1)*(p + 3)
Let 5*q**3 - 365*q**2 + 3150*q = 0. Calculate q.
0, 10, 63
Determine h so that -h**2 - 145*h = 0.
-145, 0
Factor 2*j**4 + 36*j**3 + 120*j**2 + 112*j.
2*j*(j + 2)**2*(j + 14)
Factor -d**2 - 5*d - 6.
-(d + 2)*(d + 3)
What is m in -2*m**2/9 - 1010*m/3 - 6052/9 = 0?
-1513, -2
Factor -243*g**3 - 2295*g**2 - 984*g - 108.
-3*(g + 9)*(9*g + 2)**2
Find q such that 675*q**4 - 1170*q**3 + 327*q**2 + 156*q + 12 = 0.
-2/15, 1
Determine d so that -4*d**5 + 112*d**3 + 120*d**2 - 684*d - 1080 = 0.
-3, -2, 3, 5
Find l such that 4*l**4/5 - 289*l**3/5 + 632*l**2/5 - 28*l = 0.
0, 1/4, 2, 70
Factor -10*b**4 + 32*b**3 - 36*b**2 + 16*b - 2.
-2*(b - 1)**3*(5*b - 1)
Solve 5*z**3 + 610*z**2 + 19765*z + 69620 = 0 for z.
-59, -4
Determine i so that -4*i**2/5 - 88*i/5 + 92/5 = 0.
-23, 1
What is q in -q**4/3 - 74*q**3/3 + 25*q**2 = 0?
-75, 0, 1
Solve -3*n**3/5 - 81*n**2/5 + 174*n/5 = 0 for n.
-29, 0, 2
Factor -2*n**2/21 - 256*n/21 - 24.
-2*(n + 2)*(n + 126)/21
What is m in -4*m**2/3 - 560*m - 58800 = 0?
-210
Factor 2*q**2 - 9300*q + 10811250.
2*(q - 2325)**2
What is n in 9*n**5 + 24*n**4 - 75*n**3 - 54*n**2 + 192*n - 96 = 0?
-4, -2, 1, 4/3
What is r in 2*r**3/5 + 18*r**2/5 + 28*r/5 = 0?
-7, -2, 0
Factor -3*t**4 + 18*t**3 + 3*t**2 - 18*t.
-3*t*(t - 6)*(t - 1)*(t + 1)
Determine v, given that 2*v**2/7 - 104*v/7 + 1352/7 = 0.
26
Factor n**3/3 - n**2 + 4/3.
(n - 2)**2*(n + 1)/3
Suppose 20*k**5 + 265*k**4 + 305*k**3 + 60*k**2 = 0. Calculate k.
-12, -1, -1/4, 0
What is x in 2*x**2/7 - 20576*x/7 + 52921472/7 = 0?
5144
What is w in 15*w**5 - 31*w**4 - 10*w**3 + 28*w**2 - 8*w = 0?
-1, 0, 2/5, 2/3, 2
Determine r so that r**3/2 + 40*r**2 = 0.
-80, 0
Factor -3*z**4 + 207*z**3 - 4536*z**2 + 25920*z + 124416.
-3*(z - 24)**3*(z + 3)
Solve 3*l**4/5 - 276*l**3/5 + 807*l**2/5 - 534*l/5 = 0 for l.
0, 1, 2, 89
Let 2*a**4/9 + 50*a**3/9 - 18*a**2 + 166*a/9 - 56/9 = 0. What is a?
-28, 1
Let -d**2 - 25*d + 350 = 0. Calculate d.
-35, 10
Suppose 2*v**2 - 246*v = 0. What is v?
0, 123
What is p in -2*p**5/5 + 6*p**4 - 74*p**3/5 + 18*p**2/5 + 76*p/5 - 48/5 = 0?
-1, 1, 2, 12
Factor 5*j**2 + 20*j - 105.
5*(j - 3)*(j + 7)
What is l in 2*l**4/7 + 514*l**3/7 + 146*l**2 + 510*l/7 = 0?
-255, -1, 0
Factor -2*p**2/15 + 14*p/3.
-2*p*(p - 35)/15
Suppose 500*r**3/3 + 805*r**2/3 - 470*r/3 - 160/3 = 0. Calculate r.
-2, -1/4, 16/25
Suppose -5*j**2 - 3345*j = 0. What is j?
-669, 0
Let -r**2/3 - 158*r/3 - 6241/3 = 0. What is r?
-79
Factor -3*l**3 - 6*l**2 + 27*l + 54.
-3*(l - 3)*(l + 2)*(l + 3)
Find u such that -2*u**5 + 10*u**4 - 40*u**2 + 32*u = 0.
-2, 0, 1, 2, 4
Factor 2*s**4/3 - 536*s**3/3 + 34250*s**2/3 + 75076*s.
2*s*(s - 137)**2*(s + 6)/3
Factor 2*w**3/11 + 18*w**2/11 + 48*w/11 + 32/11.
2*(w + 1)*(w + 4)**2/11
Find s such that -12*s**2 - 5481*s + 1371 = 0.
-457, 1/4
Suppose -35*q**5 - 150*q**4 + 345*q**3 - 100*q**2 - 60*q = 0. Calculate q.
-6, -2/7, 0, 1
Determine j, given that -j**3/5 - 26*j**2/5 - 129*j/5 - 36 = 0.
-20, -3
Find m such that -5*m**5 - 5*m**4 + 5*m**3 + 5*m**2 = 0.
-1, 0, 1
Factor -2*r**5 + 6*r**4 + 36*r**3 - 108*r**2 - 162*r + 486.
-2*(r - 3)**3*(r + 3)**2
Find m, given that -5*m**3 - 70*m**2 + 340*m - 360 = 0.
-18, 2
Determine t so that -5*t**3/3 + 22*t**2 - 63*t - 196/3 = 0.
-4/5, 7
Factor -t**4/6 - 25*t**3/6 - 79*t**2/6 + 35*t/2.
-t*(t - 1)*(t + 5)*(t + 21)/6
Find f, given that f**4/3 - 7*f**3 + 34*f**2 - 188*f/3 + 40 = 0.
2, 15
Suppose 3*h**5 + 6*h**4 - 18*h**3 - 24*h**2 + 15*h + 18 = 0. What is h?
-3, -1, 1, 2
Determine o so that 3*o**5/4 + 303*o**4/4 + 1068*o**3 + 4080*o**2 = 0.
-85, -8, 0
Determine o, given that 4*o**3 + 16*o**2 + 4*o - 24 = 0.
-3, -2, 1
Let 4*d**2 - 4108*d - 8232 = 0. Calculate d.
-2, 1029
Factor i**4 + 296*i**3 + 21605*i**2 - 44402*i.
i*(i - 2)*(i + 149)**2
Find k, given that 4*k**5 + 132*k**4 + 128*k**3 = 0.
-32, -1, 0
Factor 3*t**2/4 - 21*t/4.
3*t*(t - 7)/4
Factor -3*i**2/7 + 255*i/7 - 498/7.
-3*(i - 83)*(i - 2)/7
Suppose c**4/2 - 6*c**3 + 53*c**2/2 - 51*c + 36 = 0. Calculate c.
2, 3, 4
Determine i so that -i**3/3 + 7*i/3 - 2 = 0.
-3, 1, 2
Suppose 15*p**5 - 661*p**4 + 657*p**3 + 1337*p**2 - 168*p - 172 = 0. What is p?
-1, -1/3, 2/5, 2, 43
Determine f, given that 6*f**3/5 - 7904*f**2/5 + 526*f + 5268/5 = 0.
-2/3, 1, 1317
Factor -3*q**3 + 246*q**2 + 501*q + 252.
-3*(q - 84)*(q + 1)**2
Factor -2*z**3 - 462*z**2/5 - 92*z/5.
-2*z*(z + 46)*(5*z + 1)/5
Factor 12*h**2 + 35*h - 3.
(h + 3)*(12*h - 1)
Find q, given that -3*q**4/7 - 12*q**3/7 + 30*q**2/7 + 12*q + 45/7 = 0.
-5, -1, 3
Solve -2*d**2/17 - 112*d/17 - 1568/17 = 0 for d.
-28
What is m in 4*m**2/5 + 888*m + 4436/5 = 0?
-1109, -1
Find p such that -2*p**5/5 + 54*p**4/5 + 44*p**3/5 - 5332*p**2/5 - 4674*p - 3610 = 0.
-5, -1, 19
Factor w**2/5 - 498*w/5 + 62001/5.
(w - 249)**2/5
Factor -2*t**2/7 + 944*t/7 - 111392/7.
-2*(t - 236)**2/7
Factor -2*s**3/7 + 458*s**2/7 - 25038*s/7 - 136890/7.
-2*(s - 117)**2*(s + 5)/7
Factor -4*r**2 + 848*r + 2580.
-4*(r - 215)*(r + 3)
Factor -16*h**3 + 512*h**2 - 500*h + 124.
-4*(h - 31)*(2*h - 1)**2
Factor 2*q**3/11 + 2*q**2/11 - 8*q/11 - 8/11.
2*(q - 2)*(q + 1)*(q + 2)/11
Suppose -5*m**2 - 215*m - 2100 = 0. What is m?
-28, -15
Factor -a**2/2 + 307*a/2 - 456.
-(a - 304)*(a - 3)/2
Factor -m**4 - 12*m**3 + 3*m**2 + 430*m + 1200.
-(m - 6)*(m + 5)**2*(m + 8)
Factor p**5/9 - 9*p**4 + 195*p**3 - 507*p**2.
p**2*(p - 39)**2*(p - 3)/9
Factor 3*r**3/2 - 28833*r**2/2 + 34632036*r + 34646454.
3*(r - 4806)**2*(r + 1)/2
Find a, given that 3*a**4/8 + 15*a**3/2 - 99*a**2/4 + 51*a/2 - 69/8 = 0.
-23, 1
Suppose -u**5/4 + 413*u**4/4 - 22033*u**3/2 + 147281*u**2/2 - 621789*u/4 + 370881/4 = 0. Calculate u.
1, 3, 203
Factor p**4/4 + 49*p**3/4 + 46*p**2 + 45*p.
p*(p + 2)**2*(p + 45)/4
Factor -3*n**4 - 36*n**3 + 45*n**2 + 78*n.
-3*n*(n - 2)*(n + 1)*(n + 13)
Factor -2*b**3 - 66*b**2 - 126*b - 62.
-2*(b + 1)**2*(b + 31)
Find j, given that -3*j**4/7 - 3*j**3/7 + 6*j**2/7 = 0.
-2, 0, 1
Determine t so that 2*t**5 + 2404*t**4 + 722402*t**3 = 0.
-601, 0
Suppose -2*y**4/7 + 2*y**3/7 + 2*y**2 - 2*y/7 - 12/7 = 0. Calculate y.
-2, -1, 1, 3
Solve h**5/8 - h**4/4 + h**3/8 = 0 for h.
0, 1
Let 6*r**2 - 47*r - 8 = 0. Calculate r.
-1/6, 8
Determine d, given that -4*d**2 - 888*d - 49284 = 0.
-111
Factor -4*f**2 - 108*f.
-4*f*(f + 27)
Find i, given that -i**3/3 - 92*i**2/3 - 705*i = 0.
-47, -45, 0
Solve -5*g**5 - 85*g**4 + 1555*g**3 - 5155*g**2 + 6010*g - 2320 = 0.
-29, 1, 2, 8
Solve 3*b**4 - 24*b**3 + 33*b**2 + 24*b - 36 = 0.
-1, 1, 2, 6
Let -2*r**5/11 - 2*r**4 - 48*r**3/11 + 136*r**2/11 + 320*r/11 - 384/11 = 0. Calculate r.
-6, -4, 1, 2
Let 189*l**5 + 228*l**4 - 465*l**3 - 180*l**2 + 276*l - 48 = 0. Calculate l.
-2, -1, 2/9, 4/7, 1
Factor c**4/6 + 55*c**3/3 + 666*c**2 + 23273*c/3 - 50653/6.
(c - 1)*(c + 37)**3/6
Factor b**3 + 171*b**2 + 7224*b - 7396.
(b - 1)*(b + 86)**2
Suppose 3*l**5/5 - 3*l**4 - 30*l**3 + 54*l**2 + 567*l + 3969/5 = 0. Calculate l.
-3, 7
Find h, given that 4*h**2 - 10*h - 14 = 0.
-1, 7/2
Factor -v**5/4 - v**4/2 + 7*v**3/4 - v**2.
-v**2*(v - 1)**2*(v + 4)/4
Suppose -2*b**4/11 - 32*b**3 + 1068*b**2/11 - 1072*b/11 + 358/11 = 0. Calculate b.
-179, 1
Find u, given that 60*u**2 - 23*u + 1 = 0.
1/20, 1/3
Factor 14*b**3/15 - 6*b**2/5 + 4*b/15.
2*b*(b - 1)*(7*b - 2)/15
Determine j, given that 5*j**3 - 415*j**2 + 10440*j - 71280 = 0.
11, 36
Let -81*o**5/4 - 23607*o**4/4 - 1736995*o**3/4 - 2471529*o**2/4 - 210540*o - 21025 = 0. What is o?
-145, -1, -2/9
Factor -2*w**3/13 - 8*w**2/13 + 18*w/13 + 72/13.
-2*(w - 3)*(w + 3)*(w + 4)/13
Factor 3*m**2 - 177*m + 174.
3*(m - 58)*(m - 1)
Determine l, given that -2*l**4 - 24*l**3 - 22*l**2 = 0.
-11, -1, 0
Find p, given that 3*p**2 - 18*p = 0.
0, 6
Let q**3/2 - 23*q**2 - 208*q - 432 = 0. What is q?
-4, 54
Factor -18*l**4 - 6*l**3 - l**2/2.
-l**2*(6*l + 1)**2/2
Suppose -15*v**3 + 264*v**2 + 7533*v + 2970 = 0. What is v?
-15, -2/5, 33
Factor 3*d**3/7 + 84*d**2 + 249*d + 1158/7.
3*(d + 1)*(d + 2)*(d + 193)/7
Determine s so that s**4 - 45*s**3 - 242*s**2 - 396*s - 200 = 0.
-2, -1, 50
Solve -843*w**2 + 13482*w + 96 = 0 for w.
-2/281, 16
Solve 3*r**2/2 + 27*r/2 + 21 = 0 for r.
-7, -2
Factor -o**3/5 + 104*o**2/5 - 448*o - 25088/5.
-(o - 56)**2*(o + 8)/5
Solve -2*l**4/19 - 2*l**3/19 + 140*l**2/19 + 704*l/1