+ 1)*(y + 2)*(2*y - 5)
Suppose -2*m**3/5 + 42*m**2 + 444*m/5 - 1712/5 = 0. Calculate m.
-4, 2, 107
Factor 2*j**2 + 346*j + 684.
2*(j + 2)*(j + 171)
Find q such that -1620*q**4 - 21375*q**3 + 13015*q**2 + 8880*q + 1100 = 0.
-55/4, -2/9, 1
Let -2*h**4/3 + 74*h**3/3 - 24*h**2 = 0. Calculate h.
0, 1, 36
Factor -2*k**3/11 - 6*k**2/11 + 50*k/11 - 42/11.
-2*(k - 3)*(k - 1)*(k + 7)/11
Factor -48*p**4 - 30*p**3 + 2*p**2 + 38*p/9 + 2/3.
-2*(3*p + 1)**3*(8*p - 3)/9
What is q in 2*q**5/3 + 44*q**4 - 4*q**3/3 - 88*q**2 + 2*q/3 + 44 = 0?
-66, -1, 1
Factor -10*g**3 - 15*g**2 + 610*g - 585.
-5*(g - 1)*(g + 9)*(2*g - 13)
Determine g so that 45*g**5 + 830*g**4 + 3765*g**3 + 5040*g**2 = 0.
-112/9, -3, 0
Let y**4/10 - y**3/10 - y**2/10 + y/10 = 0. What is y?
-1, 0, 1
Suppose -2*v**4/11 + 4*v**3/11 + 14*v**2/11 - 16*v/11 - 24/11 = 0. What is v?
-2, -1, 2, 3
Factor 5*w**3/3 + 155*w**2/3 + 1115*w/3 - 425.
5*(w - 1)*(w + 15)*(w + 17)/3
Factor -p**2/6 - 479*p/2 + 719/3.
-(p - 1)*(p + 1438)/6
Factor 3*j**2/8 + 6981*j/4 + 16244787/8.
3*(j + 2327)**2/8
What is c in 24*c**4 + 210*c**3 - 333*c**2 - 336*c - 60 = 0?
-10, -1/2, -1/4, 2
Suppose -16*s**5 + 76*s**4 + 68*s**3 - 196*s**2 - 212*s - 40 = 0. Calculate s.
-1, -1/4, 2, 5
Solve 8*f**3/5 + 86*f**2/5 + 268*f/5 + 38 = 0.
-5, -19/4, -1
Factor 4*y**4 - 1052*y**3 - 1064*y**2 + 2112*y.
4*y*(y - 264)*(y - 1)*(y + 2)
What is l in 2*l**4/7 + 26*l**3/7 + 58*l**2/7 - 26*l/7 - 60/7 = 0?
-10, -3, -1, 1
Factor 2*u**2/23 - 28*u/23.
2*u*(u - 14)/23
What is p in 3*p**4 - 102*p**3 + 189*p**2 + 102*p - 192 = 0?
-1, 1, 2, 32
What is y in -2*y**2 + 214*y + 888 = 0?
-4, 111
Solve -3*n**4 + 78*n**3 + 21*n**2 - 528*n - 468 = 0.
-2, -1, 3, 26
Solve -z**4 - 33*z**3/7 - 46*z**2/7 - 12*z/7 + 8/7 = 0.
-2, -1, 2/7
Factor f**3/6 + 10*f**2.
f**2*(f + 60)/6
Factor -4*y**3/5 - 6612*y**2/5 - 3643212*y/5 - 669136604/5.
-4*(y + 551)**3/5
Factor -k**4/5 + 3*k**3 - 48*k**2/5 + 44*k/5.
-k*(k - 11)*(k - 2)**2/5
Suppose 2*v**3 + 20*v**2 - 574*v + 2352 = 0. What is v?
-24, 7
Solve -22*c**5/9 - 244*c**4/9 - 256*c**3/3 - 356*c**2/9 + 790*c/9 + 200/3 = 0.
-5, -12/11, -1, 1
Find q such that -q**3 - 13*q**2 - 51*q - 63 = 0.
-7, -3
What is t in -4*t**5 + 76*t**4 + 252*t**3 + 260*t**2 + 88*t = 0?
-1, 0, 22
Determine h so that -4*h**4/3 + 76*h**3 - 2804*h**2/3 + 2244*h + 8856 = 0.
-2, 9, 41
Let 4*p**2 - 620*p + 1224 = 0. Calculate p.
2, 153
Let -35*x**3/4 - 125*x**2/4 + 145*x/2 + 50 = 0. What is x?
-5, -4/7, 2
Let -15*b**2/7 - 78*b/7 - 15/7 = 0. What is b?
-5, -1/5
Factor -k**3/2 + 9*k**2/2.
-k**2*(k - 9)/2
Factor -15*w**2/2 + 31*w/2 - 1.
-(w - 2)*(15*w - 1)/2
What is s in s**3/7 + 5*s**2 + 78*s/7 - 576/7 = 0?
-32, -6, 3
Factor 3*j**3/5 - 73*j**2/5 - 212*j/5 - 108/5.
(j - 27)*(j + 2)*(3*j + 2)/5
Factor 15*i**5 + 20*i**4 - 200*i**3 - 480*i**2 - 80*i + 320.
5*(i - 4)*(i + 2)**3*(3*i - 2)
Let 2*h**5/9 + 28*h**4/3 + 1078*h**3/9 + 4316*h**2/9 - 120*h - 4400/9 = 0. What is h?
-22, -10, -1, 1
Determine u so that -3*u**2 + 3*u + 18 = 0.
-2, 3
Factor 4*s**5/3 + 52*s**4/3 + 60*s**3 - 100*s**2/3 - 1000*s/3.
4*s*(s - 2)*(s + 5)**3/3
Suppose c**4/2 + 11*c**3 + 137*c**2/2 + 70*c - 150 = 0. Calculate c.
-10, -3, 1
Factor q**3/7 - 25*q**2/7 + 24*q - 144/7.
(q - 12)**2*(q - 1)/7
Find i, given that 2*i**4 + 8*i**3 - 12*i**2 - 72*i - 54 = 0.
-3, -1, 3
Factor 154*b**2/3 + 2152*b/3 - 56/3.
2*(b + 14)*(77*b - 2)/3
Factor w**4/9 + w**3 - 11*w**2/9 - w + 10/9.
(w - 1)**2*(w + 1)*(w + 10)/9
Suppose 2*m**3/23 + 688*m**2/23 + 682*m/23 - 1372/23 = 0. What is m?
-343, -2, 1
Solve 2*o**5 - 8*o**4 + 8*o**3 + 4*o**2 - 10*o + 4 = 0.
-1, 1, 2
Find f, given that -21*f**4 - 156*f**3 - 9*f**2 + 1110*f - 600 = 0.
-5, 4/7, 2
Determine p, given that -1058*p**5 + 11454*p**4 + 3074*p**3 - 11366*p**2 - 2016*p - 88 = 0.
-1, -2/23, 1, 11
Determine r, given that 2*r**4/7 + 124*r**3/7 + 2640*r**2/7 + 20800*r/7 + 32000/7 = 0.
-20, -2
Suppose -8*w**5 + 6*w**4 + 24*w**3 - 34*w**2 + 12*w = 0. What is w?
-2, 0, 3/4, 1
Factor 5*z**3 + 36545*z**2 + 66795120*z + 66758580.
5*(z + 1)*(z + 3654)**2
Factor -2*p**5 + 56*p**4/5 - 96*p**3/5 + 32*p**2/5 + 32*p/5.
-2*p*(p - 2)**3*(5*p + 2)/5
Factor -2*c**2/9 + 4*c/9 - 2/9.
-2*(c - 1)**2/9
Factor 150*n**3 - 2104*n**2 + 2006*n - 52.
2*(n - 13)*(n - 1)*(75*n - 2)
Solve r**4/5 + 1616*r**3/5 + 649624*r**2/5 - 523584*r + 524880 = 0.
-810, 2
Factor 2*a**5/13 - 46*a**4/13 + 240*a**3/13 + 288*a**2/13.
2*a**2*(a - 12)**2*(a + 1)/13
Factor m**4/4 + 16*m**3 + 87*m**2/2 - 136*m + 305/4.
(m - 1)**2*(m + 5)*(m + 61)/4
Let 7*f**2 - 23*f + 6 = 0. What is f?
2/7, 3
Solve 18*r**3 - 58*r**2 + 48*r - 8 = 0 for r.
2/9, 1, 2
Find h such that h**3 - 11*h**2 + 20*h + 32 = 0.
-1, 4, 8
Find t, given that 2*t**2/7 - 12*t + 370/7 = 0.
5, 37
Factor -3*k**5 + 33*k**4.
-3*k**4*(k - 11)
Factor d**3 - 31*d**2 + 175*d + 207.
(d - 23)*(d - 9)*(d + 1)
Factor x**2/2 - x/2 - 3.
(x - 3)*(x + 2)/2
Solve -d**2/6 + 2*d/3 + 5/6 = 0 for d.
-1, 5
Factor -12168*g**3 - 60528*g**2 + 1558*g - 10.
-2*(g + 5)*(78*g - 1)**2
Factor 5*u**5 + 40*u**4 - 10*u**3 - 260*u**2 + 365*u - 140.
5*(u - 1)**3*(u + 4)*(u + 7)
Suppose r**4 - 11*r**3/2 + 6*r**2 + 11*r/2 - 7 = 0. Calculate r.
-1, 1, 2, 7/2
Let n**3/5 + 22*n**2/5 + 76*n/5 + 72/5 = 0. Calculate n.
-18, -2
Solve q**2 - 116*q - 117 = 0.
-1, 117
Find x, given that -x**3 + 41*x**2 - 78*x = 0.
0, 2, 39
Factor -3*w**5 - 8262*w**4 - 5688387*w**3.
-3*w**3*(w + 1377)**2
What is k in -10*k**3/13 + 10694*k**2/13 + 6424*k/13 - 4280/13 = 0?
-1, 2/5, 1070
Find h, given that h**4/7 - 22*h**3/7 - 51*h**2/7 + 72*h/7 = 0.
-3, 0, 1, 24
Solve 4*w**5/7 - 81*w**4/7 + 380*w**3/7 - 10*w**2/7 - 384*w/7 + 13 = 0.
-1, 1/4, 1, 7, 13
Factor -2*j**2/7 + 18/7.
-2*(j - 3)*(j + 3)/7
Solve 4*y**2 + 384*y + 9216 = 0.
-48
Factor -r**4/6 + 4*r**3/3 - 3*r**2/2 - 3*r.
-r*(r - 6)*(r - 3)*(r + 1)/6
Factor -2*t**2 + 10*t + 2800.
-2*(t - 40)*(t + 35)
Suppose 2*o**4/5 + 444*o**3/5 + 26762*o**2/5 + 47064*o + 112360 = 0. What is o?
-106, -5
Factor 5*j**3/3 - 625*j**2/3.
5*j**2*(j - 125)/3
Factor 2*y**2/9 + 22*y/9 - 8/3.
2*(y - 1)*(y + 12)/9
Suppose 5*n**2/4 + 1535*n/4 + 765/2 = 0. What is n?
-306, -1
Let y**4 - 5*y**3 + 7*y**2 - 3*y = 0. What is y?
0, 1, 3
Factor 4*j**2 - 72*j + 324.
4*(j - 9)**2
Suppose 4*i**5/3 - 8*i**4/3 - 12*i**3 + 8*i**2/3 + 32*i/3 = 0. What is i?
-2, -1, 0, 1, 4
Solve -3*o**5/5 + 78*o**4/5 + 3*o**3/5 - 78*o**2/5 = 0 for o.
-1, 0, 1, 26
Find d such that -d**4/6 + 4*d**3 - 15*d**2/2 + 11*d/3 = 0.
0, 1, 22
Factor -2*h**4 + 244*h**3 - 7682*h**2 + 14640*h - 7200.
-2*(h - 60)**2*(h - 1)**2
Factor 2*j**3 - 34*j**2 - 720*j + 12312.
2*(j - 18)**2*(j + 19)
Suppose -3*o**4 + 129*o**3 - 126*o**2 = 0. What is o?
0, 1, 42
Factor -5*l**3 - 75*l**2 + 5*l + 75.
-5*(l - 1)*(l + 1)*(l + 15)
Factor 2*v**5/15 - 256*v**4/5.
2*v**4*(v - 384)/15
Factor -2*d**3/3 + 28*d**2 + 86*d/3.
-2*d*(d - 43)*(d + 1)/3
Solve -2*f**2/5 + 186*f/5 + 76 = 0 for f.
-2, 95
Determine q so that 5*q**4 + 25*q**3 - 75*q**2 - 25*q + 70 = 0.
-7, -1, 1, 2
Factor 13*m**3 - 41*m**2 + 30*m.
m*(m - 2)*(13*m - 15)
Determine f so that -f**3/4 - 8*f**2 = 0.
-32, 0
Factor -2*l**2 + 7932*l - 7864578.
-2*(l - 1983)**2
Let 2*q**5/9 + 2*q**4/9 - 14*q**3/3 + 94*q**2/9 - 80*q/9 + 8/3 = 0. What is q?
-6, 1, 2
Let -d**5 - d**4 + 3*d**3 + d**2 - 2*d = 0. What is d?
-2, -1, 0, 1
Factor -l**4/5 - 916*l**3/5 - 216964*l**2/5 - 659520*l - 2592000.
-(l + 8)**2*(l + 450)**2/5
Factor 4*d**2 - 29804*d.
4*d*(d - 7451)
Factor 2*i**3/11 - 82*i**2/11 - 260*i/11 - 16.
2*(i - 44)*(i + 1)*(i + 2)/11
Find f such that -2*f**2/5 - 82*f/5 + 84/5 = 0.
-42, 1
Factor y**2/10 - 123*y/5 + 15129/10.
(y - 123)**2/10
Factor 128*q**5 - 32*q**4 - 328*q**3 - 214*q**2 - 50*q - 4.
2*(q - 2)*(q + 1)*(4*q + 1)**3
Factor -2*j**2/5 - 6*j/5 - 4/5.
-2*(j + 1)*(j + 2)/5
Factor -q**2 - 1136*q - 322624.
-(q + 568)**2
Solve 4*l**5 + 16*l**4 + 188*l**3/9 + 32*l**2/3 + 16*l/9 = 0 for l.
-2, -1, -2/3, -1/3, 0
What is x in 27*x**2 - 318*x + 480 = 0?
16/9, 10
Let -2*m**2/15 - 232*m/15 = 0. What is m?
-116, 0
Let -5*d**2 + 115*d - 110 = 0. What is d?
1, 22
Solve 2*f**3/7 + 2*f**2/7 - 4*f/7 = 0.
-2, 0, 1
Determine h, given that -12*h**5 + 177*h**4 - 387*h**3 - 108*h**2 = 0.
-1/4, 0, 3, 12
Let -70*z**2 - 9*z + 1 = 0. Calculate z.
-1/5, 1/14
Factor -2*i**3/9 + 8*i**2/3 + 56*i/9.
-2*i*(i - 14)*(i + 2)/9
Factor 93*i**3 + 282*