rmine v so that -v**3/4 + 101*v**2 - 1205*v/4 + 401/2 = 0.
1, 2, 401
Let 14*w**2/9 + 10756*w/9 + 1024/3 = 0. Calculate w.
-768, -2/7
Suppose -2*f**3/3 - 8*f**2/3 + 2*f/3 + 8/3 = 0. What is f?
-4, -1, 1
Find t such that 2*t**4/3 + 20*t**3/3 - 26*t**2/3 - 44*t/3 = 0.
-11, -1, 0, 2
Solve -w**3/2 - 41*w**2 - 79*w/2 + 81 = 0 for w.
-81, -2, 1
Solve 3*s**2 + 54*s + 51 = 0 for s.
-17, -1
Suppose v**4/2 - 81*v**3/2 + 649*v**2 = 0. What is v?
0, 22, 59
Suppose -676*w**4/7 + 5798*w**3/7 + 9164*w**2/7 + 4488*w/7 + 720/7 = 0. What is w?
-1/2, -6/13, 10
Factor -4*b**2/5.
-4*b**2/5
Factor -2*s**3 - 38*s**2 - 224*s - 384.
-2*(s + 3)*(s + 8)**2
Determine y so that y**3/7 + 11*y**2 = 0.
-77, 0
Solve 2*i**4/15 - 6*i**2/5 - 8*i/15 + 8/5 = 0 for i.
-2, 1, 3
Factor 31*h**3 - 60*h**2 + 27*h + 2.
(h - 1)**2*(31*h + 2)
Factor -5*o**2 - 82*o - 32.
-(o + 16)*(5*o + 2)
Factor 3*y**3/7 - 5436*y**2/7 + 3283344*y/7 - 661046592/7.
3*(y - 604)**3/7
Factor -4*s**4 + 20*s**3.
-4*s**3*(s - 5)
Determine k, given that -4*k**4 + 20*k**3 - 16*k**2 = 0.
0, 1, 4
Factor v**5/7 - v**4/7 - 4*v**3/7 + 4*v**2/7.
v**2*(v - 2)*(v - 1)*(v + 2)/7
Solve -5*b**2 - 27495*b - 27490 = 0 for b.
-5498, -1
Factor 5*i**2/6 + 30*i + 270.
5*(i + 18)**2/6
Factor 4*b**3 + 72*b**2 + 188*b + 120.
4*(b + 1)*(b + 2)*(b + 15)
Let -2*g**3/9 + 964*g**2/9 - 116162*g/9 = 0. Calculate g.
0, 241
Solve 147*t**3/2 + 146*t**2 - 445*t/2 + 3 = 0.
-3, 2/147, 1
Factor t**3 - 68*t**2 - 140*t.
t*(t - 70)*(t + 2)
Factor -2*i**4 - 30*i**3 - 96*i**2 + 128*i.
-2*i*(i - 1)*(i + 8)**2
Solve 2*q**2/5 - 4*q/5 - 14 = 0.
-5, 7
Solve -4*q**4 - 160*q**3 - 452*q**2 - 296*q = 0.
-37, -2, -1, 0
Factor 20*s**4 + 64*s**3 + 68*s**2 + 24*s.
4*s*(s + 1)**2*(5*s + 6)
Factor d**4 - 22*d**3 + 168*d**2 - 544*d + 640.
(d - 10)*(d - 4)**3
Let 20*r**5 - 168*r**4 + 364*r**3 - 120*r**2 = 0. What is r?
0, 2/5, 3, 5
Let -q**4/8 + q**3/8 + q**2/4 = 0. What is q?
-1, 0, 2
What is i in -49*i**3/2 - 150*i**2 - 18*i = 0?
-6, -6/49, 0
Let -m**3 - 34*m**2 - 189*m = 0. What is m?
-27, -7, 0
Factor 2*l**2 - 672*l + 56448.
2*(l - 168)**2
Find l such that -4*l**2 + 2496*l - 389376 = 0.
312
Find u such that -2*u**3/15 + 964*u**2/5 - 464648*u/5 + 223960336/15 = 0.
482
Factor d**4/2 + d**3 - 5*d**2/2 - 3*d.
d*(d - 2)*(d + 1)*(d + 3)/2
Factor 3*p**5/7 + 21*p**4 + 558*p**3/7 + 822*p**2/7 + 543*p/7 + 135/7.
3*(p + 1)**4*(p + 45)/7
What is j in 3*j**4 - 120*j**3 + 609*j**2 + 120*j - 612 = 0?
-1, 1, 6, 34
Factor -y**4/2 + 3*y**3 - 2*y**2 - 3*y + 5/2.
-(y - 5)*(y - 1)**2*(y + 1)/2
Factor -b**4 + 14*b**3 + 31*b**2 + 16*b.
-b*(b - 16)*(b + 1)**2
Let -s**5/3 + s**4/6 + s**3 - 7*s**2/6 + s/3 = 0. Calculate s.
-2, 0, 1/2, 1
Determine v so that 5*v**3/4 + 50*v**2 - 635*v/4 + 215/2 = 0.
-43, 1, 2
Factor -h**5 + 58*h**4 - 841*h**3.
-h**3*(h - 29)**2
Factor -2*u**2/3 + 28*u - 82/3.
-2*(u - 41)*(u - 1)/3
Factor -n**4 - 17*n**3 - 52*n**2 + 180*n.
-n*(n - 2)*(n + 9)*(n + 10)
Let z**2 + z - 6 = 0. Calculate z.
-3, 2
Find b such that 3*b**3 - 7*b**2/2 - 35*b/2 + 3 = 0.
-2, 1/6, 3
Factor p**5 - 8*p**4 - 20*p**3 - 2*p**2 + 19*p + 10.
(p - 10)*(p - 1)*(p + 1)**3
Factor 3*n**2 + 1053*n - 1056.
3*(n - 1)*(n + 352)
Let -3*a**3/2 - 3825*a**2 - 3251250*a - 921187500 = 0. Calculate a.
-850
Solve 4*g**2 + 244*g + 1512 = 0.
-54, -7
Factor 4*s**4 + 668*s**3 + 664*s**2.
4*s**2*(s + 1)*(s + 166)
Factor -3*z**3 + 1008*z**2 - 3003*z + 1998.
-3*(z - 333)*(z - 2)*(z - 1)
Solve -x**4/2 + 6*x**3 + 62*x**2 - 624*x - 1440 = 0 for x.
-10, -2, 12
Suppose 20*h**3 - 228*h**2 - 4112*h + 1680 = 0. Calculate h.
-10, 2/5, 21
Let w**4 - 20*w**3 + 44*w**2 + 560*w = 0. Calculate w.
-4, 0, 10, 14
Factor 2*i**2 + 98*i.
2*i*(i + 49)
What is a in 2456500*a**3 - 1040400*a**2 + 146880*a - 6912 = 0?
12/85
Factor 10*m**3 + 762*m**2 + 14592*m + 2888.
2*(m + 38)**2*(5*m + 1)
Determine a so that -4*a**5 - 16*a**4 - 8*a**3 + 16*a**2 + 12*a = 0.
-3, -1, 0, 1
Find c, given that 6*c**4 - 2*c**3 - 40*c**2 - 24*c = 0.
-2, -2/3, 0, 3
What is q in q**5/3 - q**4 + 4*q**2/3 = 0?
-1, 0, 2
Suppose 4*t**4 - 16*t**3 + 12*t**2 + 16*t - 16 = 0. Calculate t.
-1, 1, 2
Factor 5*i**2/2 + 4545*i/2 + 2270.
5*(i + 1)*(i + 908)/2
Solve -2*w**5/15 + 122*w**4/15 + 26*w**3/3 - 362*w**2/15 - 616*w/15 - 248/15 = 0.
-1, 2, 62
Factor -2*w**2/5 - 162*w/5 - 616/5.
-2*(w + 4)*(w + 77)/5
What is h in -4*h**4/3 - 68*h**3/3 - 24*h**2 + 1664*h/3 + 4480/3 = 0?
-14, -4, 5
Let -4*n**5 + 104*n**4 - 512*n**3 + 616*n**2 + 516*n - 720 = 0. Calculate n.
-1, 1, 3, 20
Suppose -5*k**2 + 2150*k - 231125 = 0. Calculate k.
215
What is q in 2*q**3 - 2*q**2 - 18*q + 18 = 0?
-3, 1, 3
Factor 2*t**2/23 + 8*t/23 + 6/23.
2*(t + 1)*(t + 3)/23
Factor h**5/9 + 4*h**4/9 + 4*h**3/9 - 2*h**2/9 - 5*h/9 - 2/9.
(h - 1)*(h + 1)**3*(h + 2)/9
Factor 2*r**4/15 - 656*r**3/5 + 161376*r**2/5.
2*r**2*(r - 492)**2/15
Factor 28*c**3 + 260*c**2 + 72*c.
4*c*(c + 9)*(7*c + 2)
Factor -2*x**4 + 66*x**3 - 342*x**2 - 3610*x.
-2*x*(x - 19)**2*(x + 5)
Let -3*k**5 + 84*k**4 - 810*k**3 + 2916*k**2 - 2187*k = 0. Calculate k.
0, 1, 9
What is w in 4*w**3/9 - 626*w**2/9 + 8216*w/3 - 1352 = 0?
1/2, 78
Factor 4*m**2 + 40*m - 156.
4*(m - 3)*(m + 13)
Factor 2*m**2 + 164*m + 3362.
2*(m + 41)**2
Let -35*w**5 + 1320*w**4 - 2105*w**3 - 2040*w**2 + 2140*w + 720 = 0. Calculate w.
-1, -2/7, 1, 2, 36
Find t such that -5*t**3 - 35*t**2 + 365*t - 325 = 0.
-13, 1, 5
Determine j so that -4*j**5 + 20*j**4 + 48*j**3 - 128*j**2 - 128*j + 192 = 0.
-2, 1, 2, 6
What is r in 2*r**3/3 + 136*r**2/3 + 248*r = 0?
-62, -6, 0
Solve -r**2 + 87*r - 86 = 0 for r.
1, 86
Let 2*w**3 + 78*w**2 + 288*w + 280 = 0. Calculate w.
-35, -2
Let 507*h**3/4 - 5421*h**2/4 - 426*h - 33 = 0. Calculate h.
-2/13, 11
Factor j**4/5 + 2072*j**3/5 + 1609944*j**2/5 + 555967328*j/5 + 71997768976/5.
(j + 518)**4/5
Factor 2*w**5/7 - 2*w**4/7 - 4*w**3/7.
2*w**3*(w - 2)*(w + 1)/7
Factor 4*w**3/3 + 28*w**2/3 - 4*w/3 - 28/3.
4*(w - 1)*(w + 1)*(w + 7)/3
Factor -2*y**3/9 + 14*y**2/3 - 208*y/9 + 56/3.
-2*(y - 14)*(y - 6)*(y - 1)/9
Factor -5*a**3 - 55*a**2 + 5*a + 55.
-5*(a - 1)*(a + 1)*(a + 11)
Factor -3*d**4/2 - 3*d**3/2 + 3*d**2/2 + 3*d/2.
-3*d*(d - 1)*(d + 1)**2/2
Factor -w**3 - 2497*w**2/2 - 390000*w - 194688.
-(w + 624)**2*(2*w + 1)/2
Find d such that -4*d**4/3 - 40*d**3/3 - 32*d**2 = 0.
-6, -4, 0
Determine n so that 2*n**3 + 902*n**2 = 0.
-451, 0
Factor b**5/3 - 10*b**4/3 + 2*b**3 + 88*b**2/3 + 113*b/3 + 14.
(b - 7)*(b - 6)*(b + 1)**3/3
Find x such that -2*x**5/13 - 14*x**4 + 748*x**3/13 - 1132*x**2/13 + 758*x/13 - 190/13 = 0.
-95, 1
Factor 4*y**2 - 1288*y + 1284.
4*(y - 321)*(y - 1)
Determine s so that 9*s**5/2 + 75*s**4/2 + 43*s**3/2 - 707*s**2/2 - 460*s - 150 = 0.
-5, -2/3, 3
Determine g, given that 3*g**3/7 - 144*g**2/7 + 540*g/7 - 528/7 = 0.
2, 44
Factor t**2/6 + 7*t/6 - 3.
(t - 2)*(t + 9)/6
Factor 2*r**3/3 + 110*r**2/3 + 32*r - 216.
2*(r - 2)*(r + 3)*(r + 54)/3
Solve 20*k**3 + 1088*k**2 - 1780*k + 672 = 0 for k.
-56, 3/5, 1
Factor -25*s**3 + 65*s**2 + 170*s - 120.
-5*(s - 4)*(s + 2)*(5*s - 3)
Factor -w**3/4 + 83*w**2/4 + 169*w/4 + 85/4.
-(w - 85)*(w + 1)**2/4
What is m in 4*m**3 - 164*m**2 - 4*m + 164 = 0?
-1, 1, 41
Factor -12*d**3 + 20*d**2 + 16*d - 16.
-4*(d - 2)*(d + 1)*(3*d - 2)
Find b, given that 2*b**2 - 80*b + 78 = 0.
1, 39
Factor -4*c**4 - 24*c**3 - 48*c**2 - 40*c - 12.
-4*(c + 1)**3*(c + 3)
Factor z**4/5 + 694*z**3/5 - 559*z**2 - 2076*z/5 + 12564/5.
(z - 3)**2*(z + 2)*(z + 698)/5
Factor -3*v**2/7 + 6*v/7 + 429/7.
-3*(v - 13)*(v + 11)/7
Suppose -5*z**4 + 100*z**3 - 740*z**2 + 2400*z - 2880 = 0. Calculate z.
4, 6
Factor y**3 + 7*y**2 + 15*y + 9.
(y + 1)*(y + 3)**2
Factor -3*q**2 + 870*q - 1728.
-3*(q - 288)*(q - 2)
Find z such that z**3/2 - 14*z**2 + 77*z/2 - 25 = 0.
1, 2, 25
Find n such that 2*n**5/17 - 22*n**4/17 + 36*n**3/17 + 4*n**2/17 - 38*n/17 + 18/17 = 0.
-1, 1, 9
Solve -u**5 + 3*u**4 - 2*u**3 = 0.
0, 1, 2
Factor 22*t**2 + 30*t - 28.
2*(t + 2)*(11*t - 7)
Solve -5*t**2 - 440*t + 16965 = 0 for t.
-117, 29
Find x such that -708*x**3/5 - 224*x**2 - 372*x/5 + 8 = 0.
-1, -2/3, 5/59
Suppose 28*t**5 - 8*t**4 - 56*t**3 + 16*t**2 + 28*t - 8 = 0. What is t?
-1, 2/7, 1
Suppose -4*a**2 - 312*a - 608 = 0. What is a?
-76, -2
Let 4*f**3/7 + 1524*f**2/7 + 20628*f - 145924/7 = 0. What is f?
-191, 1
What is j in -2*j**3/17 + 270*j**2/17 - 12150*j/17 + 182250/17 = 0?
45
Solve 