 22)*(y - 5)/17
Find f such that -f**3/9 + 23*f**2/3 + 70*f/9 = 0.
-1, 0, 70
Let 45*y**5/2 + 39*y**4 + 7*y**3 - 12*y**2 - 3*y/2 + 1 = 0. What is y?
-1, -2/5, 1/3
Solve 2*x**2/5 - 78*x/5 - 16 = 0 for x.
-1, 40
Suppose w**2/5 - 42*w/5 = 0. What is w?
0, 42
Find d, given that d**5/4 + 9*d**4/4 - 39*d**3/2 + 43*d**2 - 30*d = 0.
-15, 0, 2
Suppose 11*j**3/4 - 23*j**2/4 + 13*j/4 - 1/4 = 0. Calculate j.
1/11, 1
Factor -4*g**2 + 1208*g - 1204.
-4*(g - 301)*(g - 1)
Suppose -5*c**2 + 515*c + 2700 = 0. Calculate c.
-5, 108
Factor -14*i**4/11 - 60*i**3/11 - 72*i**2/11 - 16*i/11.
-2*i*(i + 2)**2*(7*i + 2)/11
Find j, given that -5*j**3 - 1400*j**2 + 5*j + 1400 = 0.
-280, -1, 1
What is n in -n**4 + 23*n**3 + 165*n**2 + 261*n = 0?
-3, 0, 29
What is q in -q**3 - 12*q**2 + 160*q = 0?
-20, 0, 8
Factor -2*y**4 + 32*y**3 + 6*y**2 - 100*y + 64.
-2*(y - 16)*(y - 1)**2*(y + 2)
Factor -z**4 + 99*z**3 - 3630*z**2 + 58564*z - 351384.
-(z - 33)*(z - 22)**3
Factor -p**2/4 + 183*p - 33489.
-(p - 366)**2/4
Factor -5*d**2 - 60*d - 175.
-5*(d + 5)*(d + 7)
Factor -2*l**4/7 - 6*l**3/7 + 26*l**2/7 + 30*l/7.
-2*l*(l - 3)*(l + 1)*(l + 5)/7
Let -5*z**5 + 195*z**4 - 175*z**3 - 34595*z**2 - 131040*z + 165620 = 0. Calculate z.
-7, 1, 26
Factor -4*p**2 + 8040*p - 4040100.
-4*(p - 1005)**2
Factor f**4/7 - 9*f**3/7 + 8*f**2/7.
f**2*(f - 8)*(f - 1)/7
Solve u**5 - 23*u**4 + 22*u**3 = 0.
0, 1, 22
What is m in -25*m**2 - 270*m + 55 = 0?
-11, 1/5
Solve 3*f**3 + 42*f**2 + 159*f + 120 = 0.
-8, -5, -1
Factor -3*v**3/2 - 3*v**2 - 3*v/2.
-3*v*(v + 1)**2/2
Factor -w**3 + 224*w**2.
-w**2*(w - 224)
Let -10*p**3/13 - 66*p**2/13 - 92*p/13 + 48/13 = 0. What is p?
-4, -3, 2/5
Factor -2*f**2 - f + 3.
-(f - 1)*(2*f + 3)
Determine t, given that -t**3/5 - 118*t**2/5 - 672*t/5 = 0.
-112, -6, 0
Factor b**2/4 - 200*b - 801/4.
(b - 801)*(b + 1)/4
What is x in -2*x**4 - 60*x**3 - 110*x**2 + 60*x + 112 = 0?
-28, -2, -1, 1
Factor 3*p**2/5 - 18777*p/5 + 18774/5.
3*(p - 6258)*(p - 1)/5
Suppose -2*d**2 + 306*d - 1480 = 0. What is d?
5, 148
Factor x**2/4 + 267*x/4 + 198.
(x + 3)*(x + 264)/4
Find v, given that 3*v**5 + 6*v**4 = 0.
-2, 0
Solve -i**2 - 6*i + 40 = 0.
-10, 4
Determine r so that -18*r**4 + 636*r**3 - 200*r**2 - 348*r - 70 = 0.
-1/3, 1, 35
Suppose -14*w**5/3 + 20*w**4 - 100*w**3/3 + 80*w**2/3 - 10*w + 4/3 = 0. What is w?
2/7, 1
Find a, given that -a**2/5 + 7*a/5 = 0.
0, 7
Factor -2*v**3 + 214*v**2 - 5830*v + 5618.
-2*(v - 53)**2*(v - 1)
Let -4*h**3 - 344*h**2 - 3140*h - 7600 = 0. What is h?
-76, -5
What is q in -5*q**4 + 130*q**3 = 0?
0, 26
Factor -4*m**2 + 284*m - 2016.
-4*(m - 63)*(m - 8)
Factor 2*m**2/5 + 2*m/5 - 24/5.
2*(m - 3)*(m + 4)/5
Factor 192*g**5 - 432*g**4 - 4509*g**3 + 5346*g**2 + 29403*g.
3*g*(g + 3)**2*(8*g - 33)**2
Factor 28*w**3/3 - 184*w**2/3 + 332*w/3 - 176/3.
4*(w - 4)*(w - 1)*(7*w - 11)/3
Suppose -3*y**2/5 + 48*y/5 + 576/5 = 0. Calculate y.
-8, 24
Determine q, given that 2*q**3 - 70*q**2 + 64*q + 136 = 0.
-1, 2, 34
Factor 12*r**4 - 339*r**3 - 264*r**2 + 87*r.
3*r*(r - 29)*(r + 1)*(4*r - 1)
Suppose -2*y**3 + 4*y**2 + 10*y - 12 = 0. What is y?
-2, 1, 3
Find x such that -50*x**5 - 395*x**4 - 60*x**3 + 4010*x**2 + 3350*x - 375 = 0.
-5, -1, 1/10, 3
Factor v**2 - 14*v + 13.
(v - 13)*(v - 1)
Suppose 25*h**3 - 60*h**2 + 5*h + 30 = 0. What is h?
-3/5, 1, 2
Factor -2*j**5 + 2*j**3.
-2*j**3*(j - 1)*(j + 1)
Determine r, given that -2*r**2/9 - 34*r/9 + 76/9 = 0.
-19, 2
Let h**2/3 + 11*h/3 + 10/3 = 0. What is h?
-10, -1
Let -15*n**4 - 400*n**3 - 980*n**2 - 480*n = 0. Calculate n.
-24, -2, -2/3, 0
Solve -2*w**4 - 24*w**3 - 86*w**2 - 120*w - 56 = 0 for w.
-7, -2, -1
Factor 2*r**3/3 + 14*r**2 + 80*r + 200/3.
2*(r + 1)*(r + 10)**2/3
Suppose -3*g**2/5 - 414*g/5 = 0. What is g?
-138, 0
Determine b, given that 10*b**5/9 + 554*b**4/9 + 3280*b**3/9 + 7184*b**2/9 + 6304*b/9 + 1568/9 = 0.
-49, -2, -2/5
Determine v so that v**2/6 + 31*v/3 + 961/6 = 0.
-31
Find p, given that -p**2 - 271*p + 546 = 0.
-273, 2
Factor -2*u**2 + 618*u + 620.
-2*(u - 310)*(u + 1)
Factor 3*p**4 + 87*p**3 + 81*p**2 - 8835*p + 8664.
3*(p - 8)*(p - 1)*(p + 19)**2
Factor p**2/4 - 9*p/4 - 11/2.
(p - 11)*(p + 2)/4
Solve -2*m**2/5 - 2*m/5 + 12 = 0.
-6, 5
Factor 147*p**4 - 1722*p**3 - 3273*p**2 + 48708*p + 117612.
3*(p - 9)**2*(7*p + 22)**2
Suppose -3*f**2/2 + 174*f - 345/2 = 0. Calculate f.
1, 115
Suppose -650*f**5 + 540*f**4 + 1444*f**3 + 192*f**2 - 74*f - 12 = 0. What is f?
-1, -1/5, 3/13, 2
Factor 2*l**3/15 - 198*l**2/5 + 15904*l/5 - 524264/15.
2*(l - 142)**2*(l - 13)/15
Factor 15*q**3/4 - 153*q**2 - 123*q/4.
3*q*(q - 41)*(5*q + 1)/4
What is n in 3*n**3/2 + 21*n**2/2 - 6*n - 42 = 0?
-7, -2, 2
Suppose 2*b**3 - 142*b**2 = 0. What is b?
0, 71
Factor y**2/3 - 2*y/3 - 35/3.
(y - 7)*(y + 5)/3
Suppose 3*n**5/2 + 81*n**4/4 - 219*n**3 + 1521*n**2/4 + 366*n - 252 = 0. What is n?
-21, -1, 1/2, 4
Factor w**3/5 + 177*w**2/5 + 1584*w + 7744/5.
(w + 1)*(w + 88)**2/5
Factor m**2/4 - 21*m/2 + 20.
(m - 40)*(m - 2)/4
Factor -v**3 + v**2 + 12*v.
-v*(v - 4)*(v + 3)
Suppose -4*t**2 - 112*t + 3312 = 0. Calculate t.
-46, 18
Find x such that 5*x**2 + 10940*x + 10935 = 0.
-2187, -1
Factor -q**4/3 + 34*q**3/3 - 421*q**2/3 + 748*q - 1452.
-(q - 11)**2*(q - 6)**2/3
Factor -l**3/6 - l**2/6 + l/6 + 1/6.
-(l - 1)*(l + 1)**2/6
Suppose -a**2/3 - 185*a/3 - 184/3 = 0. What is a?
-184, -1
Determine k, given that k**3/4 - 5*k**2/4 + 3*k/4 + 9/4 = 0.
-1, 3
Let -2*y**4 + 182*y**3 + 1140*y**2 + 2312*y + 1552 = 0. What is y?
-2, 97
Find p such that -2*p**5 - 126*p**4 - 1918*p**3 + 2174*p**2 + 1920*p - 2048 = 0.
-32, -1, 1
Determine n, given that 5*n**2 + 60*n + 160 = 0.
-8, -4
Find y such that -2*y**2 - 13676*y - 23379122 = 0.
-3419
Factor 2*b**2 - 74*b - 156.
2*(b - 39)*(b + 2)
Factor 5*f**3 - 35*f**2 - 105*f + 135.
5*(f - 9)*(f - 1)*(f + 3)
Suppose 2*f**4/3 - 70*f**3/3 - 188*f**2 - 336*f = 0. What is f?
-4, -3, 0, 42
Find w such that 13*w**2 + 98*w + 49 = 0.
-7, -7/13
Determine u so that -3*u**3 - 972*u**2 + 5913*u - 8910 = 0.
-330, 3
Suppose -104*s**2/3 + 101*s/3 + 1 = 0. What is s?
-3/104, 1
Solve -3*l**4 - 3*l**3 + 33*l**2 + 27*l - 54 = 0 for l.
-3, -2, 1, 3
Solve p**3 - 93*p**2/7 + 180*p/7 - 44/7 = 0.
2/7, 2, 11
Factor -4*w**2/7 - 1360*w/7 - 115600/7.
-4*(w + 170)**2/7
Factor 6*v**2 + 59*v + 53.
(v + 1)*(6*v + 53)
Factor 4*a**4 + 440*a**3 - 2736*a**2 + 5536*a - 3712.
4*(a - 2)**3*(a + 116)
Solve -5*x**2 + 3835*x - 7650 = 0.
2, 765
Determine c, given that -5*c**4 + 35*c**3 - 90*c**2 + 100*c - 40 = 0.
1, 2
Factor -2*h**3/15 - 44*h**2/15.
-2*h**2*(h + 22)/15
Factor -l**2/2 - 10*l + 189/2.
-(l - 7)*(l + 27)/2
Solve -m**2/2 + 203*m - 41209/2 = 0.
203
Factor 4*f**4 + 72*f**3 + 484*f**2 + 1440*f + 1600.
4*(f + 4)**2*(f + 5)**2
Solve j**2 + 168*j + 332 = 0.
-166, -2
Let 497*n**3/2 - 625*n**2/2 + 62*n + 2 = 0. Calculate n.
-2/71, 2/7, 1
Factor -5*r**3 - 705*r**2 - 23760*r + 77760.
-5*(r - 3)*(r + 72)**2
Solve 2*m**2/17 - 3956*m/17 + 1956242/17 = 0.
989
Determine o, given that -2*o**4/9 + 118*o**3/9 - 1798*o**2/9 + 1682*o/9 = 0.
0, 1, 29
What is h in 20*h**5/23 - 58*h**4/23 - 12*h**3/23 + 98*h**2/23 + 8*h/23 - 24/23 = 0?
-1, -3/5, 1/2, 2
Factor 3*r**3/2 - 51*r**2 + 1155*r/2 - 2178.
3*(r - 12)*(r - 11)**2/2
Factor y**5 - 178*y**4 - 359*y**3 - 180*y**2.
y**2*(y - 180)*(y + 1)**2
Solve -3*w**3/7 + 9*w**2/7 + 39*w/7 - 45/7 = 0 for w.
-3, 1, 5
What is i in i**3/4 - 3*i**2/4 - 29*i/2 - 30 = 0?
-4, -3, 10
Factor 3*q**3 + 21*q**2 + 48*q + 36.
3*(q + 2)**2*(q + 3)
Factor -b**3/2 - 24*b**2 - 384*b - 2048.
-(b + 16)**3/2
Factor -5*d**3 - 200*d**2.
-5*d**2*(d + 40)
Suppose -3*x**5/5 + 132*x**4/5 + 423*x**3/5 + 12*x**2/5 - 564*x/5 = 0. What is x?
-2, 0, 1, 47
Factor 55*c**4 - 175*c**3 + 140*c**2 - 20*c.
5*c*(c - 2)*(c - 1)*(11*c - 2)
Factor 9*w**3 + 123*w**2 + 255*w - 99.
3*(w + 3)*(w + 11)*(3*w - 1)
Solve -4*i**2 - 8*i + 32 = 0.
-4, 2
Solve 23*n**4/4 + 505*n**3/2 + 921*n**2 + 838*n - 80 = 0.
-40, -2, 2/23
Let 5*o**5 - 15*o**4 - 25*o**3 + 75*o**2 + 20*o - 60 = 0. Calculate o.
-2, -1, 1, 2, 3
Let r**3 - 6*r**2 + 3*r + 10 = 0. Calculate r.
-1, 2, 5
Factor 2*o**2/3 - 10*o/3 - 4.
2*(o - 6)*(o + 1)/3
Find k, given that 4*k**4 - 52*k**3 + 68*k**2 + 628*k + 504 = 0.
-2, -1, 7, 9
Suppose 5*q**5 + 65*q**4 + 160*q**3 - 560*q**2 - 1920*q = 0. What is q?
-8, -4, 0, 3
Suppose 2*w**5/5 + 148*w**4/5 + 604*w**3 