o that -3*p**4/7 + 114*p**3/7 - 408*p**2/7 = 0.
0, 4, 34
Factor 2*b**2/5 - 42*b/5 + 76/5.
2*(b - 19)*(b - 2)/5
Factor -32*u**3/3 - 752*u**2/3 + 382*u/3 - 16.
-2*(u + 24)*(4*u - 1)**2/3
Determine u so that 6*u**5 + 9*u**4 - 543*u**3 - 1359*u**2 - 1083*u - 270 = 0.
-9, -1, -1/2, 10
Factor -3*f**2 + 282*f + 873.
-3*(f - 97)*(f + 3)
Factor -2*q**2/21 - 6*q + 1628/21.
-2*(q - 11)*(q + 74)/21
Factor -2*z**3/9 + 92*z**2 - 12696*z + 584016.
-2*(z - 138)**3/9
Factor -2*b**2/11 - 26*b/11 + 96/11.
-2*(b - 3)*(b + 16)/11
Factor -z**4/4 + 4*z**3 + 57*z**2/4.
-z**2*(z - 19)*(z + 3)/4
Let -4*z**4 - 4*z**3 + 48*z**2 - 16*z - 64 = 0. What is z?
-4, -1, 2
Factor -2*x**4/5 - 346*x**3/5 - 20178*x**2/5 - 409374*x/5 - 740772/5.
-2*(x + 2)*(x + 57)**3/5
Find p, given that 5*p**5 - 145*p**4 - 465*p**3 - 475*p**2 - 160*p = 0.
-1, 0, 32
Let 3*v**2/2 - 1812*v + 547224 = 0. What is v?
604
Suppose -2*r**3/7 - 438*r**2/7 - 24198*r/7 - 23762/7 = 0. What is r?
-109, -1
Find s such that -4*s**5/11 + 82*s**4/11 + 130*s**3/11 + 4*s**2 = 0.
-1, -1/2, 0, 22
Factor 3*v**3 + 543*v**2 - 2256*v - 6660.
3*(v - 6)*(v + 2)*(v + 185)
Factor -8*a**3 - 116*a**2 + 904*a + 480.
-4*(a - 6)*(a + 20)*(2*a + 1)
Find r such that r**2/4 + 11*r/4 - 45 = 0.
-20, 9
Factor 2*w**2 - 15916*w + 31664882.
2*(w - 3979)**2
Factor -21*l**2/4 - 825*l - 471/4.
-3*(l + 157)*(7*l + 1)/4
Solve 10*g**3 + 358*g**2 + 278*g - 70 = 0 for g.
-35, -1, 1/5
Factor 5*l**4 - 235*l**3 + 860*l**2.
5*l**2*(l - 43)*(l - 4)
Factor 5*o**3 + 1300*o**2 + 2585*o + 1290.
5*(o + 1)**2*(o + 258)
Factor -20*m**3 + 8*m**2.
-4*m**2*(5*m - 2)
Factor 2*z**3/3 + 110*z**2/3 + 1334*z/3 - 1682.
2*(z - 3)*(z + 29)**2/3
Factor -4*h**2/3 - 532*h/3 - 176.
-4*(h + 1)*(h + 132)/3
Factor -50*q**3 + 2910*q**2 + 2352*q + 472.
-2*(q - 59)*(5*q + 2)**2
Suppose -2*y**4/7 - 86*y**3/7 + 92*y**2/7 + 176*y/7 = 0. What is y?
-44, -1, 0, 2
Factor -2*y**3 - 1960*y**2.
-2*y**2*(y + 980)
Determine g so that 11*g**2 - 439*g + 390 = 0.
10/11, 39
Factor 2*y**4/19 - 24*y**3/19 + 72*y**2/19 - 64*y/19.
2*y*(y - 8)*(y - 2)**2/19
Factor 2*n**4/5 + 6*n**3/5 + 4*n**2/5.
2*n**2*(n + 1)*(n + 2)/5
Solve 2*j**5/3 - 70*j**4/3 + 68*j**3/3 = 0.
0, 1, 34
Determine b so that -b**4/9 - 16*b**3/3 + 50*b**2/3 - 152*b/9 + 17/3 = 0.
-51, 1
Let t**5 - 8*t**4 + 11*t**3 + 8*t**2 - 12*t = 0. Calculate t.
-1, 0, 1, 2, 6
Factor 3*f**4/5 - 18*f**3/5 - 36*f**2/5 + 42*f + 45.
3*(f - 5)**2*(f + 1)*(f + 3)/5
Let 242*u**2/3 + 974*u/3 + 8 = 0. Calculate u.
-4, -3/121
What is i in -2*i**5/5 + 4*i**4 - 64*i**3/5 + 76*i**2/5 - 6*i = 0?
0, 1, 3, 5
Factor 4*g**2 - 104*g - 224.
4*(g - 28)*(g + 2)
Let 8*t**4/7 + 6*t**3/7 - 76*t**2/7 + 102*t/7 - 40/7 = 0. What is t?
-4, 1, 5/4
Suppose -2*f**2/13 + 12*f/13 + 14/13 = 0. Calculate f.
-1, 7
Solve -y**2/4 + 2719*y - 7392961 = 0.
5438
Factor -7*y**4 + 32*y**3 + 19*y**2 - 20*y.
-y*(y - 5)*(y + 1)*(7*y - 4)
Find v such that -v**2/5 + 2*v/5 - 1/5 = 0.
1
Let 2*j**5/5 + 14*j**4/5 + 36*j**3/5 + 44*j**2/5 + 26*j/5 + 6/5 = 0. Calculate j.
-3, -1
Determine n so that 14739*n**5 + 26010*n**4 + 15300*n**3 + 3000*n**2 = 0.
-10/17, 0
Factor 2*z**3 - 18*z**2 + 16*z + 120.
2*(z - 6)*(z - 5)*(z + 2)
Let 2*t**4/13 - 8*t**3/13 - 22*t**2/13 - 12*t/13 = 0. What is t?
-1, 0, 6
Factor -3*f**2 - 1716*f - 1713.
-3*(f + 1)*(f + 571)
Factor 2*p**2 - 1536*p + 294912.
2*(p - 384)**2
Factor -2*v**2 + 8*v.
-2*v*(v - 4)
Factor -390*g**2 - 5*g.
-5*g*(78*g + 1)
What is x in 2*x**3/9 + 10*x**2/3 - 74*x/9 - 34/3 = 0?
-17, -1, 3
Determine q so that -13*q**2/7 - 60*q/7 - 32/7 = 0.
-4, -8/13
Factor 264*w**2 + 3964*w + 60.
4*(w + 15)*(66*w + 1)
What is h in h**3/6 + 19*h**2/6 - 58*h/3 + 16 = 0?
-24, 1, 4
Factor 6*a**3 - 46*a**2/3 + 4*a + 16/3.
2*(a - 2)*(a - 1)*(9*a + 4)/3
What is k in 3*k**4/2 + 21*k**3/2 + 39*k**2/2 - 9*k/2 - 27 = 0?
-3, -2, 1
Factor 7*b**4 + 58*b**3 + 107*b**2 + 68*b + 12.
(b + 1)**2*(b + 6)*(7*b + 2)
Factor -15*j**2 - 2240*j + 1500.
-5*(j + 150)*(3*j - 2)
Suppose -3*k**4/2 + 6*k**3 - 15*k**2/2 + 3*k = 0. Calculate k.
0, 1, 2
Factor 2*l**2/3 + 2114*l/3.
2*l*(l + 1057)/3
Factor 4*t**3 + 268*t**2 - 4*t - 268.
4*(t - 1)*(t + 1)*(t + 67)
Factor -s**2 + 24*s - 23.
-(s - 23)*(s - 1)
Factor 2*r**4/5 + 12*r**3 + 112*r**2/5.
2*r**2*(r + 2)*(r + 28)/5
Factor n**4/2 + 14*n**3 - 211*n**2 + 210*n + 5733/2.
(n - 7)**2*(n + 3)*(n + 39)/2
Solve 495*n**5 - 1212*n**4 - 1512*n**3 + 4800*n**2 - 1872*n + 192 = 0.
-2, 2/11, 4/15, 2
Determine o so that -5*o**4 - 40*o**3 + 95*o**2 - 50*o = 0.
-10, 0, 1
Factor 5*c**4 - 335*c**3 - 3765*c**2 - 6505*c - 3080.
5*(c - 77)*(c + 1)**2*(c + 8)
Factor 3*n**2/4 - 213*n/4 + 1197/2.
3*(n - 57)*(n - 14)/4
What is h in 5*h**2 - 155*h - 330 = 0?
-2, 33
Factor -5*a**2/4 - 2515*a/4 + 630.
-5*(a - 1)*(a + 504)/4
Factor 2*h**2/5 + 2*h/5 - 4/5.
2*(h - 1)*(h + 2)/5
Suppose -4*y**2 + 8296*y - 4301476 = 0. What is y?
1037
Factor -3*h**2 + 3*h + 18.
-3*(h - 3)*(h + 2)
Find t, given that -t**5/2 - 12*t**4 - 79*t**3 + 54*t**2 + 3159*t/2 + 1458 = 0.
-9, -1, 4
Determine j, given that 3*j**2 - 30*j + 48 = 0.
2, 8
Factor k**2/3 + 359*k/3.
k*(k + 359)/3
Factor 2*v**3/11 + 4*v**2/11 + 2*v/11.
2*v*(v + 1)**2/11
Factor 2*x**3/5 - 24*x**2/5 - 288*x + 4480.
2*(x - 20)**2*(x + 28)/5
Determine i so that 2*i**2 - 726*i = 0.
0, 363
Let f**4 + f**3 - 56*f**2 = 0. What is f?
-8, 0, 7
Factor -2*i**3 - 88*i**2/7 + 200*i/7 + 64/7.
-2*(i - 2)*(i + 8)*(7*i + 2)/7
Factor -z**5/4 + 7*z**4 - 83*z**3/2 - 105*z**2 - 225*z/4.
-z*(z - 15)**2*(z + 1)**2/4
Determine c so that -3*c**5 + 12*c**3 - 6*c**2 - 9*c + 6 = 0.
-2, -1, 1
Factor 2*x**3/3 + 32*x**2/3 + 118*x/3 + 88/3.
2*(x + 1)*(x + 4)*(x + 11)/3
Find t such that -4*t**5 + 772*t**4/5 - 10728*t**3/5 + 63424*t**2/5 - 126464*t/5 - 12288 = 0.
-2/5, 8, 15
Factor 2*o**2/7 - 1954*o/7.
2*o*(o - 977)/7
Solve -47*q**4 + 283*q**3/3 - 143*q**2/3 + q/3 = 0 for q.
0, 1/141, 1
Solve -8*p**2/3 + 22*p - 16/3 = 0 for p.
1/4, 8
Find c, given that -288*c**5 - 3336*c**4 + 5188*c**3 - 1516*c**2 - 100*c + 52 = 0.
-13, -1/6, 1/4, 1/3, 1
Suppose -2*h**2 + 106*h/3 - 68/3 = 0. Calculate h.
2/3, 17
Solve -2*l**5/9 + 152*l**4/9 - 4040*l**3/9 + 4672*l**2 - 13824*l + 12288 = 0 for l.
2, 24
Factor 3*p**3/5 - 171*p**2 + 1701*p/5 - 849/5.
3*(p - 283)*(p - 1)**2/5
Factor -16*k**3/5 + 46*k**2/5 - 44*k/5 + 14/5.
-2*(k - 1)**2*(8*k - 7)/5
Factor -2*f**3/17 + 24*f**2/17 - 18*f/17 - 44/17.
-2*(f - 11)*(f - 2)*(f + 1)/17
Factor 3*a**2/5 - 5748*a/5 + 2753292/5.
3*(a - 958)**2/5
Factor 2*p**3/13 + 176*p**2/13 - 190*p/13 - 1068/13.
2*(p - 3)*(p + 2)*(p + 89)/13
Solve -27*f**4/7 + 72*f**3/7 + 267*f**2/7 + 228*f/7 + 60/7 = 0.
-1, -2/3, 5
Determine y, given that 2*y**4/13 - 16*y**3/13 + 30*y**2/13 + 8*y/13 - 40/13 = 0.
-1, 2, 5
Suppose -2*t**2/5 + 52*t - 1690 = 0. What is t?
65
Suppose -80*q**4 + 360*q**3 + 12195*q**2 + 6025*q + 750 = 0. Calculate q.
-10, -1/4, 15
Let 3*x**3 - 21*x**2 + 18*x = 0. What is x?
0, 1, 6
Factor -2*i**3/3 + 12*i**2 - 64*i + 256/3.
-2*(i - 8)**2*(i - 2)/3
Suppose -b**2/4 - 629*b/2 - 395641/4 = 0. What is b?
-629
Factor -2*b**3/3 + 8*b**2 - 58*b/3 + 12.
-2*(b - 9)*(b - 2)*(b - 1)/3
Factor -2*u**2 + 552*u - 38088.
-2*(u - 138)**2
Factor q**2/2 + 301*q/2 - 151.
(q - 1)*(q + 302)/2
Factor -2*o**4/5 + 4*o**3 - 48*o**2/5 + 44*o/5 - 14/5.
-2*(o - 7)*(o - 1)**3/5
Determine p so that 3*p**4/7 - 69*p**3/7 + 129*p**2/7 - 9*p = 0.
0, 1, 21
Find i such that i**3/4 - 11*i**2 - 799*i/4 - 377/2 = 0.
-13, -1, 58
Find v, given that -v**3/10 - 3*v**2/5 - v/2 + 6/5 = 0.
-4, -3, 1
Determine v so that -3*v**5/7 + 45*v**4/7 + 102*v**3/7 + 6*v**2/7 - 99*v/7 - 51/7 = 0.
-1, 1, 17
Factor 4*c**3 + 24*c**2 - 16*c - 96.
4*(c - 2)*(c + 2)*(c + 6)
Let -2*w**2/5 + 18*w/5 - 8 = 0. What is w?
4, 5
Factor -5*v**2 + 2830*v - 5640.
-5*(v - 564)*(v - 2)
What is z in 15*z**3 + 16116*z**2 + 4331979*z + 1730214 = 0?
-537, -2/5
Find s, given that -3*s**4 - 60*s**3 - 105*s**2 + 60*s + 108 = 0.
-18, -2, -1, 1
Suppose -2*t**5/3 - 10*t**4/3 + 70*t**3 + 10*t**2/3 - 208*t/3 = 0. Calculate t.
-13, -1, 0, 1, 8
Factor -l**2/6 - 477*l - 682587/2.
-(l + 1431)**2/6
Factor -5*r**3 + 55*r**2 - 90*r.
-5*r*(r - 9)*(r - 2)
Let -4*j**5 + 20*j**4 + 24*j**3 = 0. Calculate j.
-1, 0, 6
Factor -3*j**4 + 24*j**3 + 3*j**2 - 24*j.
-3*j*(j - 8)*(j - 1)*(j + 1)
Find t such that 6*t**5/5 - 72*t**4/5 - 366*t**3/5 - 288*t**2/5 = 0.
-3, -1, 0, 16
F