3 - 11395*y**2 - 2160*y - 140 = 0. What is y?
-2, -1/5, 14
Determine z so that -15*z**3 - 684*z**2 - 399*z + 270 = 0.
-45, -1, 2/5
Factor -4*m**2 - 720*m - 32400.
-4*(m + 90)**2
Find l, given that -16*l**5 + 100*l**4 + 360*l**3 + 320*l**2 + 40*l - 36 = 0.
-1, 1/4, 9
Factor -4*k**5 + 12*k**4 - 12*k**3 + 4*k**2.
-4*k**2*(k - 1)**3
Find q, given that -q**2/7 + 81*q/7 - 584/7 = 0.
8, 73
Solve 54*b**4/7 + 429*b**3/7 + 678*b**2/7 + 285*b/7 - 18/7 = 0.
-6, -1, 1/18
Factor 2*y**2/5 - 4*y - 112/5.
2*(y - 14)*(y + 4)/5
Find s such that -22*s**5/17 - 96*s**4/17 - 142*s**3/17 - 84*s**2/17 - 16*s/17 = 0.
-2, -1, -4/11, 0
Factor -3*h**2 - 21*h + 54.
-3*(h - 2)*(h + 9)
Factor n**4 + 8*n**3 + 2*n**2 - 32*n + 21.
(n - 1)**2*(n + 3)*(n + 7)
Find t, given that -3*t**2/5 + 13182*t/5 + 2637 = 0.
-1, 4395
What is i in 3*i**2 + 9*i - 210 = 0?
-10, 7
What is k in -12*k**4 + 296*k**3 + 468*k**2 - 1376*k + 624 = 0?
-3, 2/3, 1, 26
What is s in 196*s**4 + 8512*s**3 + 11552*s**2 - 8704*s + 1344 = 0?
-42, -2, 2/7
Factor -g**2/7 - 92*g/7 + 93/7.
-(g - 1)*(g + 93)/7
Factor 5*a**3 - 15*a + 10.
5*(a - 1)**2*(a + 2)
Factor 2*m**4 + 34*m**3/5 + 42*m**2/5 + 22*m/5 + 4/5.
2*(m + 1)**3*(5*m + 2)/5
What is v in v**5/10 - 11*v**4/10 - 3*v**3 + 153*v**2/5 + 1053*v/10 + 729/10 = 0?
-3, -1, 9
Factor -4*x**4/13 - 6*x**3/13 + 2*x/13.
-2*x*(x + 1)**2*(2*x - 1)/13
Find c such that -18*c**2/13 - 32*c/13 + 8/13 = 0.
-2, 2/9
Factor -2*o**2 - 2*o + 2244.
-2*(o - 33)*(o + 34)
Factor 2*f**4/9 + 8*f**3/9 + 4*f**2/9 - 8*f/9 - 2/3.
2*(f - 1)*(f + 1)**2*(f + 3)/9
Factor -v**4/3 + 13*v**3/3 - 11*v**2/3 - 13*v/3 + 4.
-(v - 12)*(v - 1)**2*(v + 1)/3
Suppose -10*w**3 - 105*w**2 - 275*w - 210 = 0. Calculate w.
-7, -2, -3/2
Factor -4332*j**2 + 686*j + 6.
-2*(6*j - 1)*(361*j + 3)
Find n such that -20*n**3 + 47*n**2 + 37*n + 6 = 0.
-2/5, -1/4, 3
Solve 2*h**3/11 - 360*h**2/11 + 1536*h - 5632 = 0.
4, 88
What is h in -h**4/2 - h**3/2 + 5*h**2 - 4*h = 0?
-4, 0, 1, 2
Factor -w**4/9 - 17*w**3/9 + w**2/9 + 17*w/9.
-w*(w - 1)*(w + 1)*(w + 17)/9
Factor 2*v**3/3 + 10*v**2 - 156*v + 800/3.
2*(v - 8)*(v - 2)*(v + 25)/3
Factor -d**2/5 - 10*d - 369/5.
-(d + 9)*(d + 41)/5
Let 2*l**2/5 + 96*l - 1952/5 = 0. Calculate l.
-244, 4
Solve c**4/5 + 138*c**3/5 + 6348*c**2/5 + 97336*c/5 = 0 for c.
-46, 0
Factor 5*t**2 + 8630*t + 3723845.
5*(t + 863)**2
Factor -2*i**2/5 + 8*i/5 + 42/5.
-2*(i - 7)*(i + 3)/5
Find a, given that -3*a**4/7 + 36*a**3/7 - 81*a**2/7 - 120*a/7 = 0.
-1, 0, 5, 8
Solve 11*u**4 - 112*u**3 + 295*u**2 - 50*u = 0.
0, 2/11, 5
Find g, given that -12*g**4 + 200*g**3 + 484*g**2 - 3648*g + 2160 = 0.
-5, 2/3, 3, 18
Factor 3*i**2/5 + 387*i/5.
3*i*(i + 129)/5
Solve -s**3/3 - 65*s**2/3 - 1088*s/3 - 1024/3 = 0 for s.
-32, -1
Find q, given that -2*q**4 - 6*q**3 + 8*q = 0.
-2, 0, 1
Find q, given that -3*q**5/2 - 3*q**4 + 12*q**3 = 0.
-4, 0, 2
Let b**2/7 + 55*b + 766/7 = 0. What is b?
-383, -2
Find h such that 2*h**2/13 + 114*h/13 - 488/13 = 0.
-61, 4
Find l such that -3*l**3/5 + 528*l**2/5 + 1077*l/5 - 1602/5 = 0.
-3, 1, 178
Factor 2*i**2 - 2*i.
2*i*(i - 1)
Factor f**4/5 + 6*f**3.
f**3*(f + 30)/5
Suppose m**5 - 70*m**4 + 1078*m**3 + 5108*m**2 + 6697*m + 2738 = 0. Calculate m.
-2, -1, 37
Factor 21*d**2/5 + 3492*d/5 + 996/5.
3*(d + 166)*(7*d + 2)/5
Find o, given that -5*o**2/2 - 45*o/4 - 35/4 = 0.
-7/2, -1
Factor -4356*p**3 + 8844*p**2 - 265*p + 2.
-(p - 2)*(66*p - 1)**2
Factor 4*s**4 - 184*s**3 + 2820*s**2 - 14400*s.
4*s*(s - 16)*(s - 15)**2
Determine x, given that -5*x**2 + 365*x + 370 = 0.
-1, 74
Let 2*x**3/3 - 70*x**2/3 + 134*x/3 - 22 = 0. What is x?
1, 33
What is y in -3*y**4 - 18*y**3 - 27*y**2 - 12*y = 0?
-4, -1, 0
Suppose 4*n**4 - 24*n**3 - 12*n**2 + 64*n + 48 = 0. What is n?
-1, 2, 6
Factor -4*o**2 - 152*o + 320.
-4*(o - 2)*(o + 40)
Suppose -h**4 + 344*h**3 - 1026*h**2 + 1024*h - 341 = 0. Calculate h.
1, 341
Factor 2*r**2/3 - 18*r + 340/3.
2*(r - 17)*(r - 10)/3
Determine v so that 2*v**3/3 - 28*v**2/3 + 98*v/3 = 0.
0, 7
What is j in -2*j**4 + 50*j**3 + 848*j**2 + 1480*j = 0?
-10, -2, 0, 37
Factor 4*s**2 - 3464*s.
4*s*(s - 866)
What is i in i**3 + 4*i**2 + 3*i = 0?
-3, -1, 0
Find d such that -2*d**3 - 42*d**2 - 268*d - 480 = 0.
-10, -8, -3
What is s in -2*s**4/13 - 6*s**3/13 + 22*s**2/13 + 6*s/13 - 20/13 = 0?
-5, -1, 1, 2
Factor m**3 - 588*m**2 + 86436*m.
m*(m - 294)**2
Factor 4*m**4 + 444*m**3 + 12532*m**2 + 11220*m - 24200.
4*(m - 1)*(m + 2)*(m + 55)**2
Factor 3*k**4 + 342*k**3 + 12996*k**2 + 164616*k.
3*k*(k + 38)**3
Factor 8*j**5/7 + 142*j**4/7 + 612*j**3/7 - 162*j**2/7.
2*j**2*(j + 9)**2*(4*j - 1)/7
Factor 3*a**3 + 57*a**2 + 189*a + 135.
3*(a + 1)*(a + 3)*(a + 15)
Factor h**3/3 - 5*h**2/6 - h + 3/2.
(h - 3)*(h - 1)*(2*h + 3)/6
Solve 3*c**4 + 15*c**3 - 108*c**2 - 324*c + 1296 = 0.
-6, 3, 4
Find j such that -8*j**3 + 4*j**2 + 4*j = 0.
-1/2, 0, 1
Determine d, given that 106*d**4/3 - 112*d**3/3 + 2*d**2 = 0.
0, 3/53, 1
Find v such that -5*v**3 - 65*v**2 - 200*v = 0.
-8, -5, 0
Factor -4*y**2 + 292*y - 568.
-4*(y - 71)*(y - 2)
Solve 3*q**3 - 12*q**2 - 27*q + 108 = 0.
-3, 3, 4
Let -3*i**2/7 - 2853*i/7 = 0. What is i?
-951, 0
Factor -q**2/2 - 343*q - 117649/2.
-(q + 343)**2/2
Suppose k**3/2 - 3*k**2/2 - k/2 + 3/2 = 0. What is k?
-1, 1, 3
Factor b**2/5 - 667*b/5 + 666/5.
(b - 666)*(b - 1)/5
Suppose -15*x**2 - 151*x + 166 = 0. Calculate x.
-166/15, 1
Factor -5*l**2 - 1330*l - 88445.
-5*(l + 133)**2
Determine w so that w**5/5 + 9*w**4 + 124*w**3/5 - 96*w**2/5 - 512*w/5 - 336/5 = 0.
-42, -2, -1, 2
Find c, given that 2*c**3/3 + 46*c**2/3 + 292*c/3 + 416/3 = 0.
-13, -8, -2
Factor -3*a**2 + 3243*a - 6474.
-3*(a - 1079)*(a - 2)
Factor -4*m**2/5 + 7048*m/5.
-4*m*(m - 1762)/5
Let -4*p**3/7 - 688*p**2/7 - 684*p/7 = 0. Calculate p.
-171, -1, 0
Let -2*i**5/3 - 8*i**4/3 + 8*i**3/3 + 68*i**2/3 + 30*i + 12 = 0. Calculate i.
-3, -2, -1, 3
Suppose -a**5/3 - 11*a**4/3 - 5*a**3 + 175*a**2/3 + 500*a/3 = 0. What is a?
-5, 0, 4
Factor d**4 - 56*d**3 - 186*d**2 + 536*d - 295.
(d - 59)*(d - 1)**2*(d + 5)
Factor -l**2/8 - 37*l/2 - 73/2.
-(l + 2)*(l + 146)/8
Factor h**5 - 238*h**4 + 16060*h**3 - 217800*h**2.
h**2*(h - 110)**2*(h - 18)
Let 10*k**4/3 - 94*k**3/3 + 92*k**2 - 256*k/3 + 64/3 = 0. Calculate k.
2/5, 1, 4
Find g such that -3*g**5 + 9*g**4 + 39*g**3 - 21*g**2 - 108*g - 60 = 0.
-2, -1, 2, 5
Solve -7*w**3/3 - 1049*w**2/3 - 13075*w + 1875 = 0.
-75, 1/7
Let -2*l**5 + 9*l**4 - 14*l**3 + 9*l**2 - 2*l = 0. What is l?
0, 1/2, 1, 2
Factor 2*s**2/3 + 292*s/3.
2*s*(s + 146)/3
Factor s**2/5 + 13*s/5 + 8.
(s + 5)*(s + 8)/5
Solve -12*c**5 + 76*c**4 - 4*c**3 - 124*c**2 + 16*c + 48 = 0 for c.
-1, -2/3, 1, 6
Factor 15981*q**3 + 4552*q**2 - 4*q.
q*(7*q + 2)*(2283*q - 2)
Solve -l**4/3 + 9*l**3 - 25*l**2 + 73*l/3 - 8 = 0 for l.
1, 24
Let -2*z**5/11 + 90*z**4/11 - 964*z**3/11 - 1148*z**2/11 + 966*z/11 + 1058/11 = 0. What is z?
-1, 1, 23
Determine y, given that 273*y**3 + 555*y**2 - 36*y - 108 = 0.
-2, -6/13, 3/7
Factor 36*a**3 + 160*a**2 + 208*a + 64.
4*(a + 2)**2*(9*a + 4)
Let 3*h**2/4 - 147*h/4 = 0. Calculate h.
0, 49
What is v in 8*v**2/7 + 3*v/7 = 0?
-3/8, 0
Factor -a**3/3 + 15*a**2 - 209*a + 2527/3.
-(a - 19)**2*(a - 7)/3
Factor -2*j**3/11 + 16*j**2/11 - 40*j/11 + 32/11.
-2*(j - 4)*(j - 2)**2/11
Suppose 51*o**3/2 + 150*o**2 + 186*o - 24 = 0. What is o?
-4, -2, 2/17
Suppose -4*h**3/9 - 304*h**2/3 - 23104*h/3 - 1755904/9 = 0. What is h?
-76
Factor -2*p**2/7 - 426*p/7 - 844/7.
-2*(p + 2)*(p + 211)/7
Factor 8*h**3/3 - 1250*h**2/3 + 16328*h - 4056.
2*(h - 78)**2*(4*h - 1)/3
Factor -5*v**4/2 - 10*v**3 - 10*v**2.
-5*v**2*(v + 2)**2/2
Factor -2*p**4 - 110*p**3 + 2466*p**2 - 11826*p.
-2*p*(p - 9)**2*(p + 73)
Factor -21*o**2/4 - 171*o/4 + 81/2.
-3*(o + 9)*(7*o - 6)/4
Factor -49*z**3/2 + 21*z**2 - 9*z/2.
-z*(7*z - 3)**2/2
Find x, given that x**2/8 + 9*x/8 - 13/2 = 0.
-13, 4
Factor -o**2/8 + 5*o/2 + 21/8.
-(o - 21)*(o + 1)/8
Factor d**4/2 + 2*d**3 - 8*d**2 - 8*d + 24.
(d - 2)**2*(d + 2)*(d + 6)/2
Determine x, given that 2*x**5/3 + 46*x**4/3 + 380*x**3/3 + 1316*x**2/3 + 1666*x/3 + 686/3 = 0.
-7, -1
Factor 3*w**5 - 12*w**4 - 9*w**3 + 30*w**2 + 24*w.
3*w*(w - 4)*(w - 2)*(w + 1)**2
Factor -5*r**4 + 50*r**3 - 85*r**2 + 40*r.
-5*r*(r - 8)*(r - 1)**2
Factor -5*b**2 + 135*b - 700.
-5*(b - 20)*(b - 7)
Suppose 2*h**5 - 28*h**4/5 - 96*h**3/5 - 68*h**2/5 - 2*h = 0. Calculate h.
