e -3*h**3/7 + 612*h**2/7 - 41616*h/7 + 943296/7 = 0 for h.
68
Factor -5*o**3 + 620*o**2 + 5*o - 620.
-5*(o - 124)*(o - 1)*(o + 1)
Factor 15*c**3/4 - 99*c**2/4 + 69*c/2 + 18.
3*(c - 4)*(c - 3)*(5*c + 2)/4
Factor -4*t**5 + 32*t**4 + 48*t**3 - 576*t**2.
-4*t**2*(t - 6)**2*(t + 4)
Find b such that 3*b**3 - 183*b**2 + 180*b = 0.
0, 1, 60
Suppose -3*m**3 - 282*m**2 - 8811*m - 91476 = 0. Calculate m.
-33, -28
Factor -5*a**3 + 45*a**2 - 130*a + 120.
-5*(a - 4)*(a - 3)*(a - 2)
Determine o so that o**3/6 + 107*o**2/6 - 280*o/3 = 0.
-112, 0, 5
Determine o so that 8*o**3/7 - 1156*o**2/7 + 244*o + 1144/7 = 0.
-1/2, 2, 143
Suppose 2*f**5/5 + 32*f**4/5 - 6*f**3/5 - 20*f**2 - 64*f/5 = 0. What is f?
-16, -1, 0, 2
Factor -g**2/3 + 313*g/3.
-g*(g - 313)/3
Let -2*l**3 - 114*l**2 + 2*l + 114 = 0. What is l?
-57, -1, 1
Suppose -2*i**3/5 + 66*i**2/5 - 126*i + 270 = 0. What is i?
3, 15
Find t, given that 22201*t**3/3 - 7301*t**2 - 99*t - 1/3 = 0.
-1/149, 1
Factor 6*v**5 - 10*v**4 + 2*v**3 + 2*v**2.
2*v**2*(v - 1)**2*(3*v + 1)
Factor -3*p**4 - 30*p**3 + 69*p**2 + 720*p - 1728.
-3*(p - 3)**2*(p + 8)**2
Find f such that -3*f**5 - 9*f**4 + 66*f**3 + 60*f**2 - 504*f + 480 = 0.
-5, -4, 2
Solve 3*v**3 + 42*v**2 + 33*v - 78 = 0 for v.
-13, -2, 1
Determine t so that -4*t**4 + 28*t**3 - 44*t**2 - 28*t + 48 = 0.
-1, 1, 3, 4
Let -3*m**4 - 21*m**3 - 6*m**2 + 192*m + 288 = 0. What is m?
-4, -2, 3
Find i, given that i**3 - 3300*i**2 - 6603*i - 3302 = 0.
-1, 3302
Factor 2*x**3/15 - 6*x**2/5 - 32*x/5 + 896/15.
2*(x - 8)**2*(x + 7)/15
Suppose 5*x**4 - 30*x**3 + 25*x**2 = 0. Calculate x.
0, 1, 5
Determine c, given that 3*c**4/7 + 12780*c**3/7 + 20416050*c**2/7 + 14495395500*c/7 + 3859399051875/7 = 0.
-1065
Suppose 28*x**4/5 - 1721*x**3/5 - 4512*x**2/5 - 2044*x/5 - 256/5 = 0. Calculate x.
-2, -2/7, -1/4, 64
Find u, given that 2*u**4/9 - 986*u**3/9 + 40342*u**2/3 + 123994*u/9 - 244036/9 = 0.
-2, 1, 247
Factor -8*w**5 - 18*w**4 + 18*w**3.
-2*w**3*(w + 3)*(4*w - 3)
Solve -4*x**4 - 20*x**3 = 0 for x.
-5, 0
Factor 56*j**3 + 6*j**2 - 20*j/7.
2*j*(7*j + 2)*(28*j - 5)/7
Determine a, given that -a**5/2 + a**4/2 + 29*a**3/2 + 27*a**2/2 - 54*a - 54 = 0.
-3, -1, 2, 6
Factor 5*x**2 + 105*x + 100.
5*(x + 1)*(x + 20)
Factor 2*z**2/5 - 16*z - 90.
2*(z - 45)*(z + 5)/5
Factor 5*g**2 - 1870*g - 1875.
5*(g - 375)*(g + 1)
Factor c**3/4 + 110*c**2 - c - 440.
(c - 2)*(c + 2)*(c + 440)/4
Factor k**2/8 + 33*k/8 + 4.
(k + 1)*(k + 32)/8
Factor 766300*n**3 - 613140*n**2 + 122688*n - 16.
4*(5*n - 2)**2*(7663*n - 1)
Factor -2*x**2/7 + 38*x/7.
-2*x*(x - 19)/7
Suppose -3*k**2 + 12474*k - 12966723 = 0. What is k?
2079
Factor 2*a**5/17 + 10*a**4/17 + 12*a**3/17 - 8*a**2/17 - 16*a/17.
2*a*(a - 1)*(a + 2)**3/17
Let 3*h**5 + 18*h**4 = 0. Calculate h.
-6, 0
Factor -3*m**2 + 1056*m.
-3*m*(m - 352)
Factor 4*l**5 + 24*l**4 + 36*l**3 + 16*l**2.
4*l**2*(l + 1)**2*(l + 4)
Factor -3*n**4 + 36*n**3 - 162*n**2 + 324*n - 243.
-3*(n - 3)**4
What is q in -7*q**2/3 + 13*q/3 + 20/3 = 0?
-1, 20/7
Find p, given that p**3/2 - 757*p**2/6 + 538*p - 496/3 = 0.
1/3, 4, 248
Factor 35*p**3 + 990*p**2 + 1215*p.
5*p*(p + 27)*(7*p + 9)
Find n such that 2*n**3 - 1112*n**2 - 3350*n - 2236 = 0.
-2, -1, 559
Let -4*k**3 - 84*k**2 - 444*k - 364 = 0. What is k?
-13, -7, -1
Let -n**5 - 9*n**4 + n**3 + 61*n**2 - 84*n + 32 = 0. What is n?
-8, -4, 1
Let -k**4/3 + 25*k**3/3 - 63*k**2 + 407*k/3 - 242/3 = 0. What is k?
1, 2, 11
Let g**3 + 2*g**2 - 4*g - 8 = 0. Calculate g.
-2, 2
Find z such that -5*z**5 + 40*z**4 + 50*z**3 - 40*z**2 - 45*z = 0.
-1, 0, 1, 9
Solve -9*v**4 + 155*v**3 - 25*v**2 - 155*v + 34 = 0.
-1, 2/9, 1, 17
Factor d**4 - 14*d**3 + 36*d**2 - 34*d + 11.
(d - 11)*(d - 1)**3
Let b**2/4 + 11*b/2 - 242 = 0. Calculate b.
-44, 22
Factor 4*l**5 + 4560*l**4 + 1304152*l**3 + 2594640*l**2 + 1295044*l.
4*l*(l + 1)**2*(l + 569)**2
Factor -q**5/7 - 13*q**4/7 - 9*q**3/7 + 41*q**2/7 + 62*q/7 + 24/7.
-(q - 2)*(q + 1)**3*(q + 12)/7
Factor q**5/6 + q**4 + 11*q**3/6 + q**2/3 - 2*q - 4/3.
(q - 1)*(q + 1)*(q + 2)**3/6
Solve 484*c**3 + 3520*c**2 - 2752*c + 512 = 0.
-8, 4/11
Find j such that -4*j**3/9 - 32*j**2/9 = 0.
-8, 0
Suppose 5*q**2 + 1575*q - 1580 = 0. What is q?
-316, 1
Factor 3*q**3/2 + 171*q**2/2 + 1404*q + 5070.
3*(q + 5)*(q + 26)**2/2
Factor -x**2 + 60*x - 900.
-(x - 30)**2
Find s such that -s**5 + 16*s**4 - 30*s**3 - 144*s**2 + 351*s = 0.
-3, 0, 3, 13
Factor -2*l**2/3 - 10*l + 36.
-2*(l - 3)*(l + 18)/3
Solve -5*f**3 - 25*f**2 + 40*f + 60 = 0 for f.
-6, -1, 2
Determine t so that 2*t**2/11 + 988*t/11 + 122018/11 = 0.
-247
Suppose 525*d**5 - 1711*d**4 + 1454*d**3 - 260*d**2 - 8*d = 0. What is d?
-2/75, 0, 2/7, 1, 2
Factor o**3/6 - 23*o**2/2 - 61*o - 148/3.
(o - 74)*(o + 1)*(o + 4)/6
Factor 2*d**4/5 + 62*d**3/5 - 148*d**2/5 - 528*d/5.
2*d*(d - 4)*(d + 2)*(d + 33)/5
Factor -5*f**4 - 105*f**3 - 695*f**2 - 1155*f + 1960.
-5*(f - 1)*(f + 7)**2*(f + 8)
Factor -z**4/2 + 57*z**2/2 + 100*z + 72.
-(z - 9)*(z + 1)*(z + 4)**2/2
Suppose -11*b**5 - 130*b**4 + 321*b**3 - 208*b**2 + 28*b = 0. Calculate b.
-14, 0, 2/11, 1
Factor 2*j**4/7 + 26*j**3/7 - 2*j**2/7 - 26*j/7.
2*j*(j - 1)*(j + 1)*(j + 13)/7
Let 4*i**2/5 + 225*i + 281/5 = 0. What is i?
-281, -1/4
Solve 1485*y**4 - 5930*y**3 + 7385*y**2 - 2920*y - 20 = 0.
-2/297, 1, 2
Solve -3*c**4/2 + 1371*c**3/2 - 4095*c**2/2 + 4089*c/2 - 681 = 0 for c.
1, 454
Factor 3*v**4 + 3*v**3 - 108*v**2 - 108*v.
3*v*(v - 6)*(v + 1)*(v + 6)
Suppose m**4 - 9*m**3 + 3*m**2 + 37*m + 24 = 0. What is m?
-1, 3, 8
Determine q, given that -20*q**4 - 156*q**3 + 12*q**2 + 844*q - 168 = 0.
-7, -3, 1/5, 2
Factor 5*h**2 - 365*h.
5*h*(h - 73)
Let -d**5/11 + 56*d**4/11 + 6*d**3/11 - 328*d**2/11 - 445*d/11 - 168/11 = 0. Calculate d.
-1, 3, 56
Factor h**4 - 16*h**3 + 52*h**2 - 48*h.
h*(h - 12)*(h - 2)**2
Find l such that -35*l**3/2 - 445*l**2/2 + 995*l + 1200 = 0.
-16, -1, 30/7
Factor -2*u**5 + 14*u**4 - 38*u**3 + 50*u**2 - 32*u + 8.
-2*(u - 2)**2*(u - 1)**3
Find y, given that y**5/4 - 9*y**4/2 + 63*y**3/2 - 108*y**2 + 729*y/4 - 243/2 = 0.
3, 6
Factor -b**3/6 + 5*b**2/2 - 21*b/2 + 49/6.
-(b - 7)**2*(b - 1)/6
Solve 24*x**4/7 + 75*x**3/7 - 33*x**2 - 30*x/7 = 0.
-5, -1/8, 0, 2
Factor -o**2/2 + 33*o - 65/2.
-(o - 65)*(o - 1)/2
Let -2*d**4/9 + 16*d**3/3 - 48*d**2 + 192*d - 288 = 0. Calculate d.
6
Solve 5*h**4 - 825*h**3 + 34440*h**2 - 33620*h = 0.
0, 1, 82
Suppose 3*n**4/5 + 432*n**3 + 77760*n**2 = 0. Calculate n.
-360, 0
Solve -4*a**3 + 40*a**2 - 124*a + 120 = 0.
2, 3, 5
Factor -93*h**2 + 204*h - 36.
-3*(h - 2)*(31*h - 6)
Factor -4*d**3 + 52*d**2 + 16*d - 208.
-4*(d - 13)*(d - 2)*(d + 2)
Determine x, given that -3*x**3 - 21*x**2 - 42*x - 24 = 0.
-4, -2, -1
Factor -4*g**4 - 12*g**3 - 4*g**2 + 12*g + 8.
-4*(g - 1)*(g + 1)**2*(g + 2)
Factor 4*m**3 - 16*m**2 + 12*m.
4*m*(m - 3)*(m - 1)
Factor v**2 + 6*v - 16.
(v - 2)*(v + 8)
Factor -759333136*q**5/9 + 18297184*q**4/9 - 55112*q**3/3 + 664*q**2/9 - q/9.
-q*(166*q - 1)**4/9
Factor -5*a**5/7 + 51*a**4/7 - 135*a**3/7 + 25*a**2/7.
-a**2*(a - 5)**2*(5*a - 1)/7
Suppose -4*u**5 - 4*u**4 + 20*u**3 + 20*u**2 - 16*u - 16 = 0. Calculate u.
-2, -1, 1, 2
Solve -27*c**3/2 + 777*c**2/2 + 87*c = 0.
-2/9, 0, 29
Find w, given that -14*w**3 - 270*w**2 + 512*w + 168 = 0.
-21, -2/7, 2
Let 3*a**3/4 - 12*a**2 + 63*a - 108 = 0. Calculate a.
4, 6
Factor h**3 - 257*h**2 - 258*h.
h*(h - 258)*(h + 1)
Solve -2*k**5/3 + 10*k**4 - 32*k**3 - 128*k**2/3 = 0.
-1, 0, 8
Let l**2/10 + 8*l/5 - 18/5 = 0. What is l?
-18, 2
Factor 2*q**2/11 + 928*q/11 - 930/11.
2*(q - 1)*(q + 465)/11
Factor -205*g**2 + 105*g + 100.
-5*(g - 1)*(41*g + 20)
Solve -u**3 + 7*u**2 + 10*u - 16 = 0.
-2, 1, 8
Suppose 1392*h**4 - 16228*h**3/5 + 11572*h**2/5 - 460*h - 4/5 = 0. What is h?
-1/580, 1/3, 1
Factor v**2 - 145*v/3 + 1598/3.
(v - 17)*(3*v - 94)/3
Factor 36*n**3 + 980*n**2 + 1152*n + 208.
4*(n + 1)*(n + 26)*(9*n + 2)
Suppose 33*j**5 + 240*j**4 - 828*j**3 + 714*j**2 - 69*j - 90 = 0. Calculate j.
-10, -3/11, 1
Find x such that -x**5/5 + 9*x**3/5 - 4*x**2/5 - 12*x/5 = 0.
-3, -1, 0, 2
Factor 2*d**5 + 46*d**4 - 12*d**3 - 260*d**2 + 362*d - 138.
2*(d - 1)**3*(d + 3)*(d + 23)
Factor 6*w**4 - 50*w**3 + 112*w**2 - 32*w.
2*w*(w - 4)**2*(3*w - 1)
Find f, given that 5*f**4 + 85*f**3 + 435*f**2 + 475*f - 1000 = 0.
-8, -5, 1
Factor -3*t**3/7 + 45*t**2/7 - 117*t/7 - 165/7.
-3*(t - 11)*(t - 5)