4/7 + 2*q**3/7 - 11*q**2/7 - 2*q/7 = 0. Calculate q.
-1, -2/11, 0, 1
Factor -3*d**4/4 + 24*d**3 - 45*d**2.
-3*d**2*(d - 30)*(d - 2)/4
Factor 2*h**3/19 + 2170*h**2/19 - 4346*h/19 + 2174/19.
2*(h - 1)**2*(h + 1087)/19
Suppose -3*y**2/4 + 141*y/4 - 99 = 0. What is y?
3, 44
Factor 2*y**4 - 46*y**3 + 288*y**2 - 504*y.
2*y*(y - 14)*(y - 6)*(y - 3)
Suppose 2*c**3 - 14*c**2 - 2*c + 14 = 0. What is c?
-1, 1, 7
Solve 18*k**5/7 + 24*k**4 + 326*k**3/7 + 232*k**2/7 + 8*k = 0.
-7, -1, -2/3, 0
Solve 4*q**5/9 + 8*q**4 + 224*q**3/9 - 1088*q**2/9 - 320*q/3 + 3200/9 = 0.
-10, -2, 2
Factor -3*w**4/7 - 12*w**3/7 - 9*w**2/7.
-3*w**2*(w + 1)*(w + 3)/7
Solve -4*i**2 - 436*i + 1344 = 0.
-112, 3
Factor -2*z**4/7 + 148*z**3/7 - 80*z**2.
-2*z**2*(z - 70)*(z - 4)/7
Suppose 5*o**3 - 90*o**2 + 295*o + 390 = 0. What is o?
-1, 6, 13
Factor -4*t**3 - 17*t**2/5 + t + 2/5.
-(t + 1)*(4*t + 1)*(5*t - 2)/5
Let -28*l**3 - 1392*l**2 - 17100*l + 5000 = 0. What is l?
-25, 2/7
Factor o**4/4 + 39*o**3/4 + 90*o**2 + 243*o.
o*(o + 6)**2*(o + 27)/4
Suppose -r**3/4 - 5*r**2/4 - 7*r/4 - 3/4 = 0. What is r?
-3, -1
What is f in 2*f**2/13 + 202*f/13 + 396/13 = 0?
-99, -2
Determine b, given that -b**5/10 + 213*b**4/10 - 11447*b**3/10 + 11023*b**2/10 + 5724*b/5 - 5618/5 = 0.
-1, 1, 106
Factor -5*k**2 - 125*k + 750.
-5*(k - 5)*(k + 30)
Factor -2*y**3/9 - 50*y**2/9 - 112*y/3 - 32.
-2*(y + 1)*(y + 12)**2/9
Let 3*m**4 - 21*m**3 + 54*m**2 - 60*m + 24 = 0. Calculate m.
1, 2
Determine s, given that -3*s**2 + 51*s - 210 = 0.
7, 10
Suppose -2*c**3/5 - 518*c**2/5 - 516*c/5 = 0. What is c?
-258, -1, 0
Determine n, given that 3*n**2/4 + 39*n/2 + 507/4 = 0.
-13
Factor -2*r**3 - 14*r**2 + 82*r - 66.
-2*(r - 3)*(r - 1)*(r + 11)
Solve -4*a**4/5 + 44*a**2/5 - 72*a/5 + 32/5 = 0 for a.
-4, 1, 2
Factor x**3/2 - 3*x**2 + 16.
(x - 4)**2*(x + 2)/2
Suppose -5*j**5 + 300*j**4 - 565*j**3 - 890*j**2 + 1140*j + 1160 = 0. What is j?
-1, 2, 58
Determine p, given that 15*p**4 + 40*p**3 - 460*p**2 - 1760*p - 960 = 0.
-4, -2/3, 6
Solve -18*z**5 + 1617*z**4 + 324*z**3 - 4815*z**2 - 4044*z - 540 = 0.
-1, -1/6, 2, 90
Factor 2*s**4 + 209*s**3/2 - 80*s**2 - 53*s/2.
s*(s - 1)*(s + 53)*(4*s + 1)/2
Factor -2*t**3 + 50*t**2 - 112*t - 440.
-2*(t - 22)*(t - 5)*(t + 2)
Factor 5*h**2 - 925*h + 920.
5*(h - 184)*(h - 1)
Let 6*h**3 + 63*h**2 + 84*h + 27 = 0. Calculate h.
-9, -1, -1/2
Determine b so that -2*b**5/5 - 46*b**4/5 - 342*b**3/5 - 1034*b**2/5 - 1216*b/5 - 96 = 0.
-12, -5, -4, -1
Suppose -5*q**4 + 28*q**3 - 47*q**2 + 24*q = 0. What is q?
0, 1, 8/5, 3
Find m, given that -3*m**3/2 + 21*m**2/2 + 489*m - 1008 = 0.
-16, 2, 21
Find a, given that -2*a**4 - 28*a**3 - 122*a**2 - 168*a - 72 = 0.
-6, -1
Factor 2*i**2 - 856*i + 91592.
2*(i - 214)**2
Factor 5*q**2 - 185*q.
5*q*(q - 37)
Factor o**4 + 4*o**3 + 5*o**2 + 2*o.
o*(o + 1)**2*(o + 2)
What is r in -2*r**2/9 + 6*r + 56/9 = 0?
-1, 28
Factor 5*j**3 - 55*j**2 - 1840*j - 8640.
5*(j - 27)*(j + 8)**2
Factor c**4 - 15*c**3 + 27*c**2 + 135*c - 324.
(c - 12)*(c - 3)**2*(c + 3)
Factor o**3 - 37*o**2 + 300*o + 756.
(o - 21)*(o - 18)*(o + 2)
Find l, given that -l**3 + 18*l**2 - 45*l = 0.
0, 3, 15
Suppose n**3/3 - 43*n**2/3 - 89*n/3 - 15 = 0. Calculate n.
-1, 45
Suppose -r**2/9 - 2882*r/9 - 2076481/9 = 0. What is r?
-1441
Let 2*i**4 + 26*i**3 + 36*i**2 - 320*i + 256 = 0. Calculate i.
-8, 1, 2
Factor -s**3/3 - 38*s**2/3 - 176*s/3 + 512/3.
-(s - 2)*(s + 8)*(s + 32)/3
Factor v**3/3 + 10*v**2/3 - 51*v - 54.
(v - 9)*(v + 1)*(v + 18)/3
What is r in -r**5/5 + 7*r**4/5 - 17*r**3/5 + 17*r**2/5 - 6*r/5 = 0?
0, 1, 2, 3
Factor 250*c**4 + 59150*c**3 + 4645080*c**2 + 119493792*c - 124198272.
2*(c - 1)*(5*c + 396)**3
Let 5*n**4 + 55*n**3 + 175*n**2 + 125*n = 0. Calculate n.
-5, -1, 0
Suppose -2*n**4/19 + 4*n**3/19 + 86*n**2/19 - 160*n/19 - 600/19 = 0. What is n?
-6, -2, 5
Factor -5*n**3 + 70*n**2.
-5*n**2*(n - 14)
Find g such that g**5/2 - 7*g**4/2 + 15*g**3/2 - 5*g**2/2 - 8*g + 6 = 0.
-1, 1, 2, 3
Suppose -5*i**4 + 45*i**3 + 165*i**2 + 175*i + 60 = 0. What is i?
-1, 12
Solve -9522*f**5 - 285936*f**4 - 2864882*f**3 - 9604860*f**2 - 276600*f - 2000 = 0 for f.
-10, -1/69
Factor -3*s**5/7 - 282*s**4/7 - 828*s**3/7 - 822*s**2/7 - 39*s.
-3*s*(s + 1)**3*(s + 91)/7
Solve -6*u**4 + 62*u**3/3 - 2*u**2 - 62*u/3 + 8 = 0.
-1, 4/9, 1, 3
Factor -2*u**2 + 48*u - 288.
-2*(u - 12)**2
Factor 2*n**4/3 + 2*n**3/3 - 10*n**2/3 + 2*n.
2*n*(n - 1)**2*(n + 3)/3
Factor -5*x**2 - 90*x + 1400.
-5*(x - 10)*(x + 28)
What is c in -c**5/4 - 5*c**4/4 - 7*c**3/4 - 3*c**2/4 = 0?
-3, -1, 0
Solve 126*t**5/5 - 542*t**4 + 848*t**3/5 + 10672*t**2/5 - 5408*t/5 + 672/5 = 0 for t.
-2, 2/9, 2/7, 2, 21
Find s, given that -5*s**4 + 25*s**3 + 770*s**2 - 100*s - 3000 = 0.
-10, -2, 2, 15
Factor 3*y**2/2 - 57*y + 1083/2.
3*(y - 19)**2/2
What is r in 5*r**4 + 370*r**3 + 4445*r**2 + 14700*r = 0?
-60, -7, 0
Factor -3*q**2 + 4770*q - 1896075.
-3*(q - 795)**2
Determine s, given that -s**3/4 + 5*s**2/4 - 7*s/4 + 3/4 = 0.
1, 3
Factor 2*j**3/3 + 70*j**2/3 - 146*j/3 + 74/3.
2*(j - 1)**2*(j + 37)/3
Suppose -4*z**3/5 - 25*z**2/2 - 196*z/5 + 33/2 = 0. Calculate z.
-11, -5, 3/8
Suppose 5*u**2 - 5100*u - 10220 = 0. Calculate u.
-2, 1022
Determine k so that k**5/3 - 10*k**4/3 + 19*k**3/3 + 26*k**2/3 - 92*k/3 + 56/3 = 0.
-2, 1, 2, 7
What is i in 3*i**2 + 45*i = 0?
-15, 0
Suppose y**4/2 - 3*y**3 - y**2/2 + 3*y = 0. What is y?
-1, 0, 1, 6
Let -2*t**2/5 + 12*t + 62/5 = 0. What is t?
-1, 31
Solve -2*r**3 - 12*r**2 - 16*r = 0.
-4, -2, 0
Determine p so that -p**5/3 - 35*p**4/3 + 2312*p**3/3 - 18764*p**2/3 - 103840*p/3 - 113600/3 = 0.
-71, -2, 20
Factor 4*p**3/3 + 11*p**2/2 + 14*p/3 + 1/2.
(p + 1)*(p + 3)*(8*p + 1)/6
Factor n**2 - 47*n + 90.
(n - 45)*(n - 2)
Let -232*d**3 - 220*d**2 + 476*d - 24 = 0. What is d?
-2, 3/58, 1
Find v, given that 2*v**4/3 - 36*v**3 - 2*v**2 + 328*v/3 - 72 = 0.
-2, 1, 54
Factor -2*g**3/3 - 20*g**2 - 128*g - 704/3.
-2*(g + 4)**2*(g + 22)/3
Determine v, given that -7*v**5/2 + 205*v**4/2 + 159*v**3/2 - 265*v**2/2 - 76*v + 30 = 0.
-1, 2/7, 1, 30
Let -2*y**3 + 6*y**2 + 2*y - 6 = 0. What is y?
-1, 1, 3
Find z such that -2*z**3 - 4*z**2 + 10*z + 12 = 0.
-3, -1, 2
Factor 3*q**2 + 312*q + 1485.
3*(q + 5)*(q + 99)
Let 4*a**3 + 72*a**2 - 76*a = 0. Calculate a.
-19, 0, 1
What is d in -d**2/3 - 19*d - 656/3 = 0?
-41, -16
What is s in -38*s**2/3 + 24*s = 0?
0, 36/19
Factor f**3/7 + 13*f**2/7 + 23*f/7 + 11/7.
(f + 1)**2*(f + 11)/7
Find z such that -z**3/9 - 10*z**2/9 - 17*z/9 - 8/9 = 0.
-8, -1
Find k such that 11*k**2/4 + 7*k/4 - 9/2 = 0.
-18/11, 1
Factor -5*u**4 - 20*u**3 + 25*u**2.
-5*u**2*(u - 1)*(u + 5)
Find s such that -2*s**2/5 + 408*s/5 - 20808/5 = 0.
102
Determine y so that -3*y**3 - 2*y**2 + 17*y - 12 = 0.
-3, 1, 4/3
Solve -a**4 + 351*a**3 - 41067*a**2 + 1601613*a = 0.
0, 117
Factor -3*x**3/4 + 7623*x**2/4 + 15255*x/4 + 7629/4.
-3*(x - 2543)*(x + 1)**2/4
Determine b, given that 2*b**2/11 - 8/11 = 0.
-2, 2
Find k such that -3*k**2/4 + 21*k/2 = 0.
0, 14
Factor -3*h**3 - 39*h**2 - 162*h - 216.
-3*(h + 3)*(h + 4)*(h + 6)
What is q in 44*q**3/7 + 36*q**2/7 - 96*q/7 + 16/7 = 0?
-2, 2/11, 1
Factor 5*g**4 + 85*g**3 + 490*g**2 + 1100*g + 840.
5*(g + 2)**2*(g + 6)*(g + 7)
Let -4*o**2 + 1548*o - 3080 = 0. Calculate o.
2, 385
Let 2*y**2/3 + 144*y + 1242 = 0. What is y?
-207, -9
Factor -4*j**4 + 100*j**3 - 472*j**2 - 576*j.
-4*j*(j - 18)*(j - 8)*(j + 1)
Factor 128*z**3/3 + 96*z**2 - 26*z - 338/3.
2*(z - 1)*(8*z + 13)**2/3
Factor -4*t**3 + 80*t**2 + 368*t + 384.
-4*(t - 24)*(t + 2)**2
Let -5*q**2 + 5055*q + 5060 = 0. Calculate q.
-1, 1012
Determine w, given that 2*w**4/5 + 132*w**3/5 - 200*w**2 + 1596*w/5 - 146 = 0.
-73, 1, 5
Determine m so that 2*m**4 - 32*m**3 + 90*m**2 + 324*m = 0.
-2, 0, 9
Let -o**2/2 + 39*o = 0. Calculate o.
0, 78
Factor 4*x**2 + 4*x - 8.
4*(x - 1)*(x + 2)
Factor r**2/2 - 11*r/2.
r*(r - 11)/2
Factor -4*s**3 - 8*s**2 + 20*s + 24.
-4*(s - 2)*(s + 1)*(s + 3)
Find v such that -v**4/3 + 6*v**3 - 92*v**2/3 + 8*v + 192 = 0.
-2, 6, 8
Factor -24*l**3 + 21*l**2 + 3*l.
-3*l*(l - 1)*(8*l + 1)
Factor u**2/3 + 20*u/3 - 7.
(u - 1)*(u + 21)/3
Solve -h**2/4 + 83*h/2 + 167/4 = 0.
-1, 167
Factor -4*k**2 - 36*k - 72.
-4*(k + 3)*(k + 6)
Solve -4*b**3/3 + 8*b**2/3 + 32*b/3 = 0.
-2, 0, 4
Determine s so that 10*s**4/3 - 4222*s**3 - 5068*s**2/3 = 0.
-2/5, 0, 1267
Factor 2*p**2 + 314*