13)/2
Factor -12*l**2 + 99*l - 24.
-3*(l - 8)*(4*l - 1)
Determine z so that 2*z**2/19 + 14*z/19 + 20/19 = 0.
-5, -2
Solve l**3/4 + 33*l**2 + 1452*l + 21296 = 0 for l.
-44
Factor 2*x**3/7 - 1318*x**2/7 - 2642*x/7 - 1322/7.
2*(x - 661)*(x + 1)**2/7
Let 3*y**3 + 2115*y**2 + 373824*y + 371712 = 0. Calculate y.
-352, -1
Factor 2*h**3/17 + 14*h**2/17 + 12*h/17.
2*h*(h + 1)*(h + 6)/17
Let -80*a**5 + 1240*a**4 + 3515*a**3 + 1520*a**2 + 180*a = 0. Calculate a.
-2, -1/4, 0, 18
Find b, given that 2*b**5/3 - 2*b**4 - 14*b**3/3 + 14*b**2/3 + 12*b + 16/3 = 0.
-1, 2, 4
Determine i so that i**2/4 + 115*i/2 + 13225/4 = 0.
-115
Factor -u**3/7 - 277*u**2/7 - 2760*u - 19044/7.
-(u + 1)*(u + 138)**2/7
Factor 2*s**2 - 6386*s - 6388.
2*(s - 3194)*(s + 1)
Factor -4*c**2/7 - 4*c/7 + 288/7.
-4*(c - 8)*(c + 9)/7
Solve -2*u**3/7 + 120*u**2/7 - 2400*u/7 + 16000/7 = 0 for u.
20
What is q in -26*q**5/7 - 326*q**4/7 + 130*q**3 - 738*q**2/7 + 180*q/7 = 0?
-15, 0, 6/13, 1
Factor -2*m**2 + 42*m + 144.
-2*(m - 24)*(m + 3)
Suppose -2*n**2/11 - 1788*n/11 - 399618/11 = 0. What is n?
-447
Solve 4*d**3 - 33792*d**2 + 95158272*d - 89321897984 = 0.
2816
Factor 3*l**4 + 276*l**3 + 9522*l**2 + 146004*l + 839523.
3*(l + 23)**4
Factor 2*c**4/15 - 56*c**3/5 - 114*c**2/5 - 172*c/15.
2*c*(c - 86)*(c + 1)**2/15
Suppose -2*t**4/13 - 356*t**3/13 - 1400*t**2/13 - 1392*t/13 = 0. Calculate t.
-174, -2, 0
What is h in 35*h**4 + 30*h**3 - 535*h**2 + 870*h - 400 = 0?
-5, 1, 8/7, 2
What is x in -4*x**4 - 4*x**3 + 16*x**2 + 16*x = 0?
-2, -1, 0, 2
Determine u, given that 2*u**4 + 832*u**3 + 129792*u**2 + 8998912*u + 233971712 = 0.
-104
What is g in -2*g**3 - 10*g**2 - 8*g = 0?
-4, -1, 0
Factor 4*s**5 - 24*s**4 + 16*s**3 + 24*s**2 - 20*s.
4*s*(s - 5)*(s - 1)**2*(s + 1)
Find s such that -s**3/7 - 8*s**2/7 - s = 0.
-7, -1, 0
Determine m so that -4*m**2 + 1704*m - 181476 = 0.
213
Factor -5*y**3 - 4800*y**2 - 4795*y.
-5*y*(y + 1)*(y + 959)
Factor 116162*t**2/13 - 1928*t/13 + 8/13.
2*(241*t - 2)**2/13
Factor 16*y**2 - 332*y - 84.
4*(y - 21)*(4*y + 1)
Suppose -5*q**3 + 45*q = 0. Calculate q.
-3, 0, 3
Solve 9*j**2/2 + 51*j/8 + 9/4 = 0 for j.
-3/4, -2/3
Suppose 15*u**4 - 81*u**3 + 30*u**2 = 0. What is u?
0, 2/5, 5
Factor -3*y**3/2 - 66*y**2 - 1311*y/2 + 1587.
-3*(y - 2)*(y + 23)**2/2
Factor 5*j**4/3 - 65*j**3/3 - 5*j**2/3 + 65*j/3.
5*j*(j - 13)*(j - 1)*(j + 1)/3
Factor -2*d**2 + 40*d + 4800.
-2*(d - 60)*(d + 40)
Factor -2*y**3 - 108*y**2 - 102*y + 212.
-2*(y - 1)*(y + 2)*(y + 53)
Factor -2*g**5 + 8*g**3.
-2*g**3*(g - 2)*(g + 2)
Factor -4*a**3/3 + 56*a**2/3 - 176*a/3 + 160/3.
-4*(a - 10)*(a - 2)**2/3
Factor -2*n**2 - 282*n - 280.
-2*(n + 1)*(n + 140)
Determine w, given that w**4/9 - 5*w**3/9 - 22*w**2/9 - 16*w/9 = 0.
-2, -1, 0, 8
Solve -169*k**3/4 + 247*k**2/2 - 87*k + 18 = 0.
6/13, 2
Factor 148*o**2/3 + 1040*o + 84.
4*(o + 21)*(37*o + 3)/3
Let -110450*j**3/17 - 112330*j**2/17 - 1888*j/17 - 8/17 = 0. What is j?
-1, -2/235
Determine r, given that 3*r**2 - 1386*r = 0.
0, 462
Suppose 2*p**2/7 + 26*p/7 + 80/7 = 0. What is p?
-8, -5
Factor 2*x**3 - 6*x - 4.
2*(x - 2)*(x + 1)**2
Factor 3*d**3 - 30*d**2 + 69*d - 42.
3*(d - 7)*(d - 2)*(d - 1)
Factor 5*d**5 + 65*d**4 - 835*d**3 - 17685*d**2 - 89910*d - 116640.
5*(d - 16)*(d + 2)*(d + 9)**3
Find v such that -27*v**5 + 351*v**4/5 - 273*v**3/5 + 21*v**2/5 + 48*v/5 - 12/5 = 0.
-2/5, 1/3, 2/3, 1
Let 3*h**5 + 60*h**4 + 372*h**3 + 462*h**2 - 1911*h - 2058 = 0. Calculate h.
-7, -1, 2
Suppose 46*x**3 + 10*x**2 = 0. Calculate x.
-5/23, 0
Solve u**5/6 + u**4/3 - 4*u**3/3 + u**2/3 + 7*u/6 - 2/3 = 0 for u.
-4, -1, 1
Factor -12*b**3 + 200*b**2 - 124*b - 64.
-4*(b - 16)*(b - 1)*(3*b + 1)
Factor -3*v**2/4 + 5133*v/2 - 8782563/4.
-3*(v - 1711)**2/4
What is z in z**5/5 - 21*z**4/5 - 23*z**3/5 + 21*z**2/5 + 22*z/5 = 0?
-1, 0, 1, 22
Determine p, given that 3*p**5/7 + 81*p**4/7 + 729*p**3/7 + 2187*p**2/7 = 0.
-9, 0
Factor 3*l**3/4 - 849*l**2/4 - 858*l - 861.
3*(l - 287)*(l + 2)**2/4
Let f**3 - 320*f**2 + 25600*f = 0. Calculate f.
0, 160
Solve n**2 - 55*n + 204 = 0 for n.
4, 51
Solve 18*h**4/5 - 60*h**3 + 1344*h**2/5 - 768*h/5 = 0.
0, 2/3, 8
What is g in g**5/8 - 5*g**4/8 + 5*g**3/8 + 5*g**2/8 - 3*g/4 = 0?
-1, 0, 1, 2, 3
Factor -2*k**3 - 1152*k**2 + 2310*k - 1156.
-2*(k - 1)**2*(k + 578)
Factor 5*l**4 + 15*l**3 - 15*l**2 - 35*l + 30.
5*(l - 1)**2*(l + 2)*(l + 3)
Factor -4*j**5 - 8*j**4 + 144*j**3 + 648*j**2 + 756*j.
-4*j*(j - 7)*(j + 3)**3
What is s in -2*s**3/13 - 12*s**2 + 318*s/13 - 160/13 = 0?
-80, 1
Find w such that -3*w**5/4 + 39*w**4/4 + 159*w**3/4 - 231*w**2/4 - 39*w + 48 = 0.
-4, -1, 1, 16
Find y, given that -14*y**4 + 24*y**3 + 50*y**2 + 12*y = 0.
-1, -2/7, 0, 3
Factor -o**2/3 - 11*o.
-o*(o + 33)/3
Find u, given that 4*u**4/9 - 148*u**3/9 + 73*u**2 - 548*u/9 + 128/9 = 0.
1/2, 4, 32
Determine t, given that -3*t**3 + 1167*t**2 = 0.
0, 389
Factor -2*j**3/7 - 2*j**2/7 + 68*j/7 - 16.
-2*(j - 4)*(j - 2)*(j + 7)/7
Determine k so that -3*k**5/8 + 27*k**4/8 - 33*k**3/8 - 63*k**2/8 = 0.
-1, 0, 3, 7
Factor 5*x**3/4 - 503*x**2/4 - 101*x/2.
x*(x - 101)*(5*x + 2)/4
Find v, given that v**5/4 - 31*v**4/4 - 47*v**3/4 + 503*v**2/4 - 373*v/2 + 80 = 0.
-5, 1, 2, 32
Suppose -3*v**5 + 39*v**3 - 48*v**2 - 36*v + 48 = 0. What is v?
-4, -1, 1, 2
Suppose -m**4/2 + 127*m**3/8 - 23*m**2/2 - 31*m/8 = 0. Calculate m.
-1/4, 0, 1, 31
Factor -i**2/4 - 1001*i/2 - 1002001/4.
-(i + 1001)**2/4
What is a in 3*a**3 + 36*a**2 + 87*a + 54 = 0?
-9, -2, -1
Determine q, given that 4*q**3/7 - 444*q**2/7 + 12540*q/7 - 12100/7 = 0.
1, 55
What is a in -4*a**5/5 + 72*a**4/5 - 396*a**3/5 + 216*a**2/5 + 3888*a/5 - 7776/5 = 0?
-3, 3, 6
Let -2*h**5 - 88*h**4 - 1202*h**3 - 5260*h**2 - 9272*h - 5776 = 0. What is h?
-19, -2
Factor -21*w**4/5 + 38*w**3/5 - 13*w**2/5 - 4*w/5.
-w*(w - 1)**2*(21*w + 4)/5
Factor -v**2/8 - 569*v/8 - 565/2.
-(v + 4)*(v + 565)/8
What is d in 2*d**3/13 - 2*d**2/13 - 4*d/13 = 0?
-1, 0, 2
Solve -2*r**3 + 11*r**2/2 + 3*r/2 = 0 for r.
-1/4, 0, 3
Determine m, given that 3*m**2 - 18*m + 15 = 0.
1, 5
Factor -5*s**3 - 885*s**2 + 5*s + 885.
-5*(s - 1)*(s + 1)*(s + 177)
Suppose -3*a**2/7 + 579*a - 4050/7 = 0. Calculate a.
1, 1350
Let -5*l**2 + 2880*l - 414720 = 0. What is l?
288
What is g in -g**2 + 2*g + 15 = 0?
-3, 5
Suppose 2*m**5/17 - 8*m**4/17 + 20*m**2/17 - 2*m/17 - 12/17 = 0. What is m?
-1, 1, 2, 3
Solve -5*j**2 - 25*j + 250 = 0.
-10, 5
Factor 3*c**3/8 + 9*c**2/4.
3*c**2*(c + 6)/8
Factor -2*g**2 + 2548*g - 811538.
-2*(g - 637)**2
Factor -4*p**3/7 + 152*p**2/7 - 80*p + 544/7.
-4*(p - 34)*(p - 2)**2/7
Factor 28*j**3 - 153*j**2 - 88*j - 12.
(j - 6)*(4*j + 1)*(7*j + 2)
Solve -2*f**5/9 - 18*f**4 - 3772*f**3/9 - 19004*f**2/9 + 1258*f/3 + 19166/9 = 0.
-37, -7, -1, 1
Solve -4*k**5 - 372*k**4 - 9704*k**3 - 97056*k**2 - 293760*k + 400896 = 0 for k.
-58, -12, 1
Factor 2*h**5/3 - 2*h**4/3 - 64*h**3/3 + 272*h**2/3 - 416*h/3 + 224/3.
2*(h - 2)**4*(h + 7)/3
Factor 5*t**3 - 25*t**2 + 15*t + 45.
5*(t - 3)**2*(t + 1)
Factor -49*f**3/3 - 1246*f**2/3 - 1705*f/3 - 200.
-(f + 24)*(7*f + 5)**2/3
Factor -588*p**5 - 1260*p**4 - 171*p**3 - 6*p**2.
-3*p**2*(p + 2)*(14*p + 1)**2
What is g in -2*g**2 + 300*g - 11250 = 0?
75
Factor -m**4/2 - 22*m**3 - 194*m**2 + 1056*m - 1152.
-(m - 2)**2*(m + 24)**2/2
Suppose -x**2/3 + 106*x - 8427 = 0. What is x?
159
Suppose -2*g**3 - 30*g**2 + 2*g + 30 = 0. Calculate g.
-15, -1, 1
Factor 6241*a**3/3 + 19039*a**2 + 2856*a + 108.
(a + 9)*(79*a + 6)**2/3
Determine l, given that 5*l**3 + 40*l**2 - 45*l = 0.
-9, 0, 1
Factor 3*c**2 - 810*c + 1608.
3*(c - 268)*(c - 2)
Factor -5*r**2 + 60*r - 55.
-5*(r - 11)*(r - 1)
Find x, given that -x**5/2 - 263*x**4/2 + 1875*x**3/2 - 4041*x**2/2 + 1215*x = 0.
-270, 0, 1, 3
Let 32*b**5/11 - 18160*b**4/11 + 3438290*b**3/11 - 217756350*b**2/11 + 108234630*b/11 - 13502538/11 = 0. Calculate b.
1/4, 189
Factor 3*w**3/4 + 33*w**2/2 + 159*w/4 - 57.
3*(w - 1)*(w + 4)*(w + 19)/4
Find v such that -2*v**5/3 + 2*v**4 + 4*v**3 - 16*v**2/3 = 0.
-2, 0, 1, 4
Let -n**4/7 + n**3 - 5*n**2/7 - 31*n/7 + 30/7 = 0. Calculate n.
-2, 1, 3, 5
Factor 4*f**2 + 1480*f + 136900.
4*(f + 185)**2
Factor -3*g**5/5 + 153*g**4/5 - 2169*g**3/5 + 5619*g**2/5 - 5328*g/5 + 1728/5.
-3*(g - 24)**2*(g - 1)**3/5
Determine z so that z**4 - 6*z**3 - 13*z**2 + 42*z = 0.
-3, 0, 2, 7
Factor 3*m**2/2 + 57*m + 108.
3*(m + 2)*(m