et -m**2 + 45*m + 144 = 0. Calculate m.
-3, 48
Factor -9*j**3/8 + j**2/4 + 9*j/8 - 1/4.
-(j - 1)*(j + 1)*(9*j - 2)/8
Factor 4*g**4 + 36*g**3.
4*g**3*(g + 9)
Find y such that -3*y**3/8 + 87*y**2/4 - 42*y = 0.
0, 2, 56
Let 125*o**5 + 975*o**4 + 2170*o**3 + 470*o**2 - 2295*o - 1445 = 0. Calculate o.
-17/5, -1, 1
Factor 44*d**3 - 1048*d**2 + 1744*d + 352.
4*(d - 22)*(d - 2)*(11*d + 2)
Determine q, given that -4*q**5 - 72*q**4 - 480*q**3 - 1472*q**2 - 2112*q - 1152 = 0.
-6, -2
Suppose 4*d**5 + 64*d**4 + 336*d**3 + 536*d**2 - 340*d - 600 = 0. What is d?
-6, -5, -1, 1
Factor 80*j**2 - 2440*j + 18605.
5*(4*j - 61)**2
Solve -5*i**5 + 130*i**4 - 525*i**3 - 4500*i**2 = 0.
-4, 0, 15
Let -4*b**5 + 4*b**4 + 12*b**3 - 20*b**2 + 8*b = 0. What is b?
-2, 0, 1
Solve -98*b**5/17 + 1134*b**4/17 - 4054*b**3/17 + 4498*b**2/17 - 1680*b/17 + 200/17 = 0.
2/7, 1, 5
Factor -196*f**5/3 + 1732*f**4/3 - 1668*f**3 + 1476*f**2 + 288*f.
-4*f*(f - 3)**3*(49*f + 8)/3
Factor -p**2/5 + 233*p/5 - 232/5.
-(p - 232)*(p - 1)/5
Factor u**3/2 + 73*u**2/2 - 153*u/2 - 225/2.
(u - 3)*(u + 1)*(u + 75)/2
Solve -j**2/6 - 511*j/6 + 257 = 0 for j.
-514, 3
Solve -4*f**5/5 - 68*f**4 + 2504*f**3/5 - 6544*f**2/5 + 7328*f/5 - 2944/5 = 0 for f.
-92, 1, 2
Factor d**5 + 110*d**4 + 3133*d**3 + 5940*d**2 + 2916*d.
d*(d + 1)**2*(d + 54)**2
Factor 5*d**5 - 5*d**4 - 5*d**3 + 5*d**2.
5*d**2*(d - 1)**2*(d + 1)
Find q such that 30*q**4 - 34355*q**3 + 9855565*q**2 - 11457160*q + 1635920 = 0.
1/6, 1, 572
Factor -u**2/6 - 4*u/3 + 11/2.
-(u - 3)*(u + 11)/6
Factor 3*d**4/4 - 6*d**3 - 27*d**2/4 + 54*d.
3*d*(d - 8)*(d - 3)*(d + 3)/4
Let 5*c**2/3 - 425*c/3 - 290 = 0. What is c?
-2, 87
Factor 4*o**3 + 244*o**2 + 680*o - 928.
4*(o - 1)*(o + 4)*(o + 58)
Factor -5*j**2/4 + 35*j/4 + 45/2.
-5*(j - 9)*(j + 2)/4
What is f in f**2/5 - 5384*f/5 + 7246864/5 = 0?
2692
Solve 4*z**5/3 - 20*z**4/3 + 8*z**3 + 16*z**2/3 - 32*z/3 = 0.
-1, 0, 2
Factor -4*q**5 + 24*q**4 - 48*q**3 + 40*q**2 - 12*q.
-4*q*(q - 3)*(q - 1)**3
Factor -4*s**2/5 + 488*s/5 + 492/5.
-4*(s - 123)*(s + 1)/5
Factor 42*f**3 + 393*f**2 + 975*f + 300.
3*(f + 4)*(f + 5)*(14*f + 5)
Find r, given that -r**5/4 + 7*r**3/4 - r**2/2 - 3*r + 2 = 0.
-2, 1, 2
Let f**4 + 3*f**3 - 8*f**2 - 12*f + 16 = 0. Calculate f.
-4, -2, 1, 2
What is v in -3*v**3/8 - 207*v**2/4 + 1323*v/2 - 2025 = 0?
-150, 6
Suppose -5*x**4 + 4930*x**3 - 1210305*x**2 - 2435420*x - 1220180 = 0. What is x?
-1, 494
Determine c so that 2*c**2/19 + 1720*c/19 + 369800/19 = 0.
-430
Factor -4*s**2 - 452*s + 920.
-4*(s - 2)*(s + 115)
Determine k, given that -10*k**2/3 - 34*k/3 - 8 = 0.
-12/5, -1
Find q, given that -q**2/5 + 484*q/5 - 58564/5 = 0.
242
Factor d**3/3 - 23*d**2/3 - 181*d/3 + 203/3.
(d - 29)*(d - 1)*(d + 7)/3
Suppose -3*r**3/7 - 3*r**2/7 + 78*r/7 - 72/7 = 0. Calculate r.
-6, 1, 4
Find i such that -i**2 - 15*i + 16 = 0.
-16, 1
What is t in 3*t**2/5 - 3*t/5 - 6/5 = 0?
-1, 2
Suppose -5*h**3 - 3*h**2 + 48*h + 68 = 0. Calculate h.
-2, 17/5
Factor -c**3 - 23*c**2/2 - 24*c - 27/2.
-(c + 1)*(c + 9)*(2*c + 3)/2
Solve -8*d**5 + 291*d**4 - 380*d**3 - 186*d**2 + 388*d - 105 = 0 for d.
-1, 3/8, 1, 35
Let -504*r**5/5 + 914*r**4/5 - 312*r**3/5 - 102*r**2/5 + 4*r/5 = 0. Calculate r.
-2/9, 0, 1/28, 1
What is s in -2*s**3/7 + 46*s**2 - 13120*s/7 + 12800/7 = 0?
1, 80
Find g such that -g**4 + 12*g**3 - 20*g**2 = 0.
0, 2, 10
Factor 2*i**4 - 122*i**3 + 1360*i**2 + 16184*i.
2*i*(i - 34)**2*(i + 7)
Solve 5*o**2 - 335*o + 5610 = 0.
33, 34
Find l such that 35*l**4 + 250*l**3 + 420*l**2 + 230*l + 25 = 0.
-5, -1, -1/7
Suppose -2*i**5 - 68*i**4 - 404*i**3 + 3400*i**2 + 4294*i - 7220 = 0. What is i?
-19, -2, 1, 5
Factor -4*b**2/5 + 11768*b/5 - 8655364/5.
-4*(b - 1471)**2/5
Factor -3*r**4/5 - 3*r**3 + 63*r**2/5 - 69*r/5 + 24/5.
-3*(r - 1)**3*(r + 8)/5
Determine y, given that -2*y**4/5 + 16*y**3/5 - 12*y**2/5 - 16*y/5 + 14/5 = 0.
-1, 1, 7
Determine m so that 3*m**3 + 66*m**2 + 63*m = 0.
-21, -1, 0
Suppose a**2/4 + 47*a/4 = 0. What is a?
-47, 0
Factor 5*k**2 + 45*k + 100.
5*(k + 4)*(k + 5)
Find z, given that -5*z**4 + 28*z**3 - 43*z**2 + 8*z + 12 = 0.
-2/5, 1, 2, 3
Solve 2*o**2/9 + 22*o/9 + 20/9 = 0.
-10, -1
Solve -40*c**2/11 - 118*c/11 + 6/11 = 0.
-3, 1/20
Solve -2*l**3/5 + 34*l**2 + 1456*l/5 + 2976/5 = 0.
-4, 93
What is u in 5*u**5 - 35*u**3 + 30*u**2 = 0?
-3, 0, 1, 2
Factor 4*r**3 - 48*r**2 + 180*r - 216.
4*(r - 6)*(r - 3)**2
Suppose 2*d**2/5 - 164*d/5 + 3362/5 = 0. What is d?
41
Factor 5*p**2 + 2235*p - 6750.
5*(p - 3)*(p + 450)
Factor -4*q**4 - 32*q**3 - 8*q**2 + 320*q + 300.
-4*(q - 3)*(q + 1)*(q + 5)**2
What is o in o**5/3 + 2*o**4/3 - 4*o**3/3 - 8*o**2/3 = 0?
-2, 0, 2
Factor i**2 + 2788*i + 1943236.
(i + 1394)**2
Factor 2*z**4/11 + 18*z**3/11 + 16*z**2/11.
2*z**2*(z + 1)*(z + 8)/11
Find t, given that -3*t**2/5 + 5419*t/5 + 3614/5 = 0.
-2/3, 1807
Find f, given that -f**2/2 - 3*f + 7/2 = 0.
-7, 1
What is x in x**3/4 - 349*x**2/2 + 118961*x/4 + 249218 = 0?
-8, 353
Find a, given that 5*a**5/6 + 73*a**4/6 + 55*a**3/2 + 107*a**2/6 - 7*a/3 - 4 = 0.
-12, -1, 2/5
Solve 2*u**5/7 - 78*u**4/7 + 544*u**3/7 + 592*u**2 + 1056*u + 3872/7 = 0 for u.
-2, -1, 22
Factor -2*t**4 - 16*t**3 - 38*t**2 - 24*t.
-2*t*(t + 1)*(t + 3)*(t + 4)
Let 4*d**4 - 4*d**3 - 360*d**2 = 0. Calculate d.
-9, 0, 10
Factor -2*b**3/7 - 4*b**2 - 26*b/7.
-2*b*(b + 1)*(b + 13)/7
Determine m, given that -3*m**5 - 66*m**4 = 0.
-22, 0
Find z, given that -7*z**3/9 - 2*z**2 - 8*z/9 = 0.
-2, -4/7, 0
Suppose -z**2/4 + 17*z/2 - 30 = 0. What is z?
4, 30
Factor 2*d**2/9 + 38*d/3 + 220/9.
2*(d + 2)*(d + 55)/9
Let 405*r**3 + 990*r**2 + 380*r + 40 = 0. What is r?
-2, -2/9
Solve -p**4/2 - 3*p**3 - 7*p**2/2 + 3*p + 4 = 0 for p.
-4, -2, -1, 1
Suppose 2*j**2 + 12*j - 14 = 0. Calculate j.
-7, 1
Factor 2*v**3/7 - 8*v**2/7 - 22*v/7 - 12/7.
2*(v - 6)*(v + 1)**2/7
Factor 35*d**3 + 620*d**2 + 2965*d + 2380.
5*(d + 1)*(d + 7)*(7*d + 68)
Factor -4*j**3 - 72*j**2 - 128*j.
-4*j*(j + 2)*(j + 16)
Factor -2*x**2/5 + 1556*x/5 - 1554/5.
-2*(x - 777)*(x - 1)/5
Suppose 2*u**5/7 + 2*u**4 + 38*u**3/7 + 50*u**2/7 + 32*u/7 + 8/7 = 0. Calculate u.
-2, -1
What is w in -w**3/7 - 71*w**2/7 - 1595*w/7 - 10933/7 = 0?
-29, -13
Solve -2*w**3/9 + 152*w**2/9 - 3770*w/9 + 3364 = 0 for w.
18, 29
Solve -q**3 + 62*q**2 + 65*q - 126 = 0.
-2, 1, 63
Factor 6*u**2/17 + 6730*u/17 - 132.
2*(u + 1122)*(3*u - 1)/17
Factor -3*j**3/5 - 27*j**2/5 - 42*j/5.
-3*j*(j + 2)*(j + 7)/5
Factor 2*z**2/9 + 36224*z/9 + 164022272/9.
2*(z + 9056)**2/9
Factor 5*u**4 - 115*u**3 - 15*u**2 + 355*u - 230.
5*(u - 23)*(u - 1)**2*(u + 2)
Factor 2*y**4/9 + 20*y**3/9 - 2*y**2/9 - 20*y/9.
2*y*(y - 1)*(y + 1)*(y + 10)/9
Solve n**3/5 + 37*n**2/2 - 47*n/5 - 93/10 = 0.
-93, -1/2, 1
Factor -2*m**2/9 + 944*m/9 - 111392/9.
-2*(m - 236)**2/9
Solve -f**2/7 - 5506*f/7 - 7579009/7 = 0 for f.
-2753
Factor b**4/5 + 3*b**3/5 - 4*b**2/5.
b**2*(b - 1)*(b + 4)/5
Factor h**4 + 34*h**3 + 32*h**2 - 34*h - 33.
(h - 1)*(h + 1)**2*(h + 33)
Factor 22*h**2 + 342*h + 180.
2*(h + 15)*(11*h + 6)
Factor -i**4/2 - i**3 + i**2/2 + i.
-i*(i - 1)*(i + 1)*(i + 2)/2
Determine a so that -5*a**3/2 + 15*a**2/2 + 5*a/2 - 15/2 = 0.
-1, 1, 3
Solve -5*p**2 + 605*p - 600 = 0 for p.
1, 120
Let -3*g**4 - 18*g**3 - 3*g**2 + 72*g - 48 = 0. What is g?
-4, 1
Solve -2*t**4/5 - 2*t**3 + 84*t**2/5 + 72*t - 432/5 = 0 for t.
-6, 1, 6
Factor 4*t**4 + 24*t**3 + 48*t**2 + 32*t.
4*t*(t + 2)**3
Determine r, given that -2*r**5 + 10*r**4 + 18*r**3 - 34*r**2 - 16*r + 24 = 0.
-2, -1, 1, 6
Factor 4*i**3/5 - 46*i**2/5 + 62*i/5 - 4.
2*(i - 10)*(i - 1)*(2*i - 1)/5
Determine j, given that -24*j**2 + 2307*j - 288 = 0.
1/8, 96
What is d in -4*d**3/7 + 576*d**2/7 - 1124*d/7 - 1704/7 = 0?
-1, 3, 142
Let -5*l**3/2 + 17*l**2/2 - 4*l - 6 = 0. What is l?
-3/5, 2
Factor 2*p**3/7 - 72*p**2/7 + 136*p/7.
2*p*(p - 34)*(p - 2)/7
Factor v**2/5 - 1486*v/5 + 552049/5.
(v - 743)**2/5
Determine h so that -h**5 + 20*h**4 - 102*h**3 + 64*h**2 + 103*h - 84 = 0.
-1, 1, 7, 12
Factor 3*a**3 + 1206*a**2 - 1209*a.
3*a*(a - 1)*(a + 403)
Let -2*b**2/3 + 238*b/3 - 1656 = 0. What is b?
27, 92
Factor l**3/3 + 176*l**2/3 + 7744*l/3.
l*(l + 88)**2/3
Factor -2*w**2 - 20*w + 78.
-2*(w - 3)*(w + 13)
What is c in 5*c**4 + 715*c**3 + 2800*c**2 + 2780*c = 0?
-139, -2, 0
Determine u so that 5*u**2 - 1240*u + 76880 = 0.
124
Suppose 18*i**3 - 86*i**2 - 128*i - 24 = 0. W