2*w**3/7 + 60*w**2/7 + 66*w/7 - 124/7.
-2*(w - 31)*(w - 1)*(w + 2)/7
Suppose -2*z**4/9 - 58*z**3 - 10906*z**2/3 + 176890*z/9 = 0. Calculate z.
-133, 0, 5
Factor 15*x**3/7 + 6*x**2/7 - 9*x/7.
3*x*(x + 1)*(5*x - 3)/7
What is g in -192*g**3 - 408*g**2 - 195*g/4 - 3/2 = 0?
-2, -1/16
Factor m**2/3 - 232*m + 40368.
(m - 348)**2/3
Factor j**2 - 50*j - 216.
(j - 54)*(j + 4)
Let -3*d**2/5 - 3594*d - 5382015 = 0. Calculate d.
-2995
Determine y, given that 121*y**3/2 + 20735*y**2/2 + 3764*y + 342 = 0.
-171, -2/11
Factor 4*d**2 - 11404*d + 11400.
4*(d - 2850)*(d - 1)
Let n**4/2 - 3*n**3 + 5*n**2/2 + 12*n - 18 = 0. Calculate n.
-2, 2, 3
Find v, given that 2*v**3/3 - 100*v**2/3 + 194*v/3 - 32 = 0.
1, 48
Factor 4*u**2 - 28*u + 24.
4*(u - 6)*(u - 1)
Let -5*v**2/4 + 1905*v/4 - 475 = 0. What is v?
1, 380
Factor o**3/2 - 897*o**2/2 + 268203*o/2 - 26730899/2.
(o - 299)**3/2
Find b such that b**4/6 + 454*b**3/3 + 107498*b**2/3 + 671920*b + 3285600 = 0.
-444, -10
Factor -j**3 - 73*j**2.
-j**2*(j + 73)
Determine t, given that -2*t**3 + 1000*t**2 - 126976*t + 492032 = 0.
4, 248
Factor -x**3 + 7*x - 6.
-(x - 2)*(x - 1)*(x + 3)
Factor a**2/4 - 75*a/4 + 207/2.
(a - 69)*(a - 6)/4
Factor -2*r**2 - 2*r.
-2*r*(r + 1)
Factor c**4 + 338*c**3 + 28221*c**2 - 57460*c + 28900.
(c - 1)**2*(c + 170)**2
Suppose -3*y**3 - 135*y**2 = 0. What is y?
-45, 0
Determine u, given that 2*u**3 + 18*u**2 - 72*u = 0.
-12, 0, 3
Determine p, given that -12*p**3 + 96*p**2 - 207*p + 135 = 0.
3/2, 5
Let 22*v**3/9 - 664*v**2/9 + 758*v/9 - 116/9 = 0. What is v?
2/11, 1, 29
What is l in -5*l**3/4 + 65*l**2/2 - 60*l = 0?
0, 2, 24
Solve 5*q**5 - 5*q**4 - 45*q**3 + 5*q**2 + 100*q + 60 = 0.
-2, -1, 2, 3
Solve 25*s**2 - 28*s + 3 = 0.
3/25, 1
What is h in h**2/3 - 109*h/3 + 330 = 0?
10, 99
Factor 3*t**5/2 + 9*t**4 - 45*t**3/2 - 150*t**2.
3*t**2*(t - 4)*(t + 5)**2/2
Solve y**2/2 + 45*y + 1241/2 = 0 for y.
-73, -17
Determine u, given that 6*u**5/13 - 14*u**4/13 + 4*u**3/13 + 12*u**2/13 - 10*u/13 + 2/13 = 0.
-1, 1/3, 1
Factor -2*w**2/19 - 100*w/19 + 102/19.
-2*(w - 1)*(w + 51)/19
Factor -14*d**3 + 92*d**2 - 128*d.
-2*d*(d - 2)*(7*d - 32)
Factor -j**4/3 - 14*j**3/3 - 53*j**2/3 - 40*j/3.
-j*(j + 1)*(j + 5)*(j + 8)/3
Solve 3*m**3/4 + 123*m**2/4 + 330*m + 300 = 0.
-20, -1
Find x such that -x**4/4 + 43*x**3/4 + 95*x**2/4 - 219*x/4 - 135/2 = 0.
-3, -1, 2, 45
Determine i, given that -2*i**2/11 + 8240*i/11 + 8242/11 = 0.
-1, 4121
Suppose -6*n**4 - 3*n**3 + 60*n**2 - 87*n + 36 = 0. Calculate n.
-4, 1, 3/2
Let 2*i**2/5 - 88*i/5 + 968/5 = 0. What is i?
22
Let -2*a**3/13 + 40*a**2/13 - 106*a/13 + 68/13 = 0. Calculate a.
1, 2, 17
Solve -2*c**4/9 + 58*c**3/9 + 62*c**2/3 + 190*c/9 + 64/9 = 0.
-1, 32
Determine g, given that 2*g**3 - 52*g**2 + 130*g + 184 = 0.
-1, 4, 23
Find w, given that -2*w**4/5 + 1734*w**3/5 - 380142*w**2/5 + 371522*w = 0.
0, 5, 431
Factor -5*w**4 + 24*w**3 - 36*w**2 + 16*w.
-w*(w - 2)**2*(5*w - 4)
Find k, given that -245*k**4 + 25830*k**3 - 36140*k**2 - 27000*k - 4160 = 0.
-2/7, 2, 104
Solve -136*c**4 + 834*c**3 - 1328*c**2 + 138*c + 36 = 0.
-2/17, 1/4, 3
What is j in -3*j**5 - 63*j**4 + 174*j**3 + 870*j**2 + 981*j + 345 = 0?
-23, -1, 5
Factor -3*g**3 - 9*g**2 + 264*g.
-3*g*(g - 8)*(g + 11)
Suppose -2*y**2/3 - 614*y/3 + 616/3 = 0. Calculate y.
-308, 1
Find g such that 3*g**4 - 57*g**3/2 - 504*g**2 - 1401*g/2 - 228 = 0.
-8, -1, -1/2, 19
What is f in 3*f**4 - 12*f**3 - 33*f**2 - 18*f = 0?
-1, 0, 6
Factor 21*c**3 + 117*c**2 - 21*c - 117.
3*(c - 1)*(c + 1)*(7*c + 39)
Factor 7*c**2 + 360*c.
c*(7*c + 360)
Determine g so that 5*g**2/2 - 95*g - 200 = 0.
-2, 40
Factor 2*l**4/5 - 34*l**3/5 - 252*l**2/5 - 536*l/5 - 368/5.
2*(l - 23)*(l + 2)**3/5
Let -20*o**3 + 1268*o**2 + 776*o - 512 = 0. What is o?
-1, 2/5, 64
Factor 3*w**5 - 15*w**4 + 9*w**3 + 27*w**2.
3*w**2*(w - 3)**2*(w + 1)
Solve -2*g**3/3 + 56*g**2 - 1230*g + 6724/3 = 0.
2, 41
Determine f, given that -6*f**5 - 21*f**4 - 6*f**3 + 33*f**2 + 12*f - 12 = 0.
-2, -1, 1/2, 1
Factor 3*n**2/5 - 126*n/5 + 1323/5.
3*(n - 21)**2/5
Factor 2*d**4/15 - 2*d**3/15.
2*d**3*(d - 1)/15
Factor u**2 + 1476*u + 544644.
(u + 738)**2
Factor n**3/5 - 2*n**2/5.
n**2*(n - 2)/5
Find a such that 3*a**3 - 48*a**2 - 228*a - 240 = 0.
-2, 20
Suppose -2*q**2 - 116*q + 118 = 0. What is q?
-59, 1
Solve -2*d**3/11 - 8*d**2/11 + 170*d/11 + 16 = 0.
-11, -1, 8
Factor 3*k**5 - 51*k**4 + 90*k**3.
3*k**3*(k - 15)*(k - 2)
Let -u**3 - 6*u**2 + u + 6 = 0. What is u?
-6, -1, 1
Determine k so that 3*k**5 + 69*k**4 + 570*k**3 + 1974*k**2 + 2499*k + 1029 = 0.
-7, -1
Factor -3*f**3 - 159*f**2 - 306*f.
-3*f*(f + 2)*(f + 51)
Find b such that 2*b**4/9 - 4*b**3/9 - 8*b**2/9 + 4*b/9 + 2/3 = 0.
-1, 1, 3
Factor -5*y**4 + 15*y**3 + 25*y**2 - 15*y - 20.
-5*(y - 4)*(y - 1)*(y + 1)**2
Factor -2*y**4 + 42*y**3 + 100*y**2 - 168*y - 368.
-2*(y - 23)*(y - 2)*(y + 2)**2
Let -z**5/4 + 9*z**4/4 + 5*z**3/2 = 0. What is z?
-1, 0, 10
Factor d**4/2 + 7*d**3 - 15*d**2/2.
d**2*(d - 1)*(d + 15)/2
Suppose -2*o**5/5 - 22*o**4/5 - 54*o**3/5 - 10*o**2 - 16*o/5 = 0. Calculate o.
-8, -1, 0
Factor -8*m**3/7 - 284*m**2/7 - 2448*m/7 + 1296/7.
-4*(m + 18)**2*(2*m - 1)/7
Determine i, given that 3*i**4/2 - 3*i**3/2 - 63*i**2/2 + 3*i/2 + 30 = 0.
-4, -1, 1, 5
Factor 2*y**3 + 14*y**2 - 112*y + 96.
2*(y - 4)*(y - 1)*(y + 12)
Solve a**3 - 13*a**2 - 30*a = 0.
-2, 0, 15
Suppose 4*q**5 + 8*q**4 - 12*q**3 - 32*q**2 - 16*q = 0. Calculate q.
-2, -1, 0, 2
Factor l**2/6 + 89*l/6 + 170/3.
(l + 4)*(l + 85)/6
Factor 4*i**4 + 4*i**3 - 28*i**2 - 52*i - 24.
4*(i - 3)*(i + 1)**2*(i + 2)
Factor 2*p**2/5 - 8*p - 192/5.
2*(p - 24)*(p + 4)/5
Suppose -8*d**5 + 2*d**4 + 144*d**3 - 292*d**2 + 184*d - 30 = 0. What is d?
-5, 1/4, 1, 3
Find v such that 3*v**3/2 + 795*v**2/2 = 0.
-265, 0
Factor 3*q**3/8 + 3*q**2/2 - 147*q/8 - 147/2.
3*(q - 7)*(q + 4)*(q + 7)/8
Find s, given that 5*s**3/3 + 20*s**2/3 + 20*s/3 = 0.
-2, 0
Solve -2*h**5/7 - 40*h**4/7 - 276*h**3/7 - 104*h**2 - 70*h = 0.
-7, -5, -1, 0
Determine r, given that -4*r**5/5 - 2*r**4/5 + 18*r**3/5 - 2*r**2/5 - 22*r/5 + 12/5 = 0.
-2, -3/2, 1
Factor -2*c**2/5 - 206*c/5 + 84.
-2*(c - 2)*(c + 105)/5
Factor -3*i**3/7 + 5739*i**2/7.
-3*i**2*(i - 1913)/7
Find x, given that x**2 + 19*x + 88 = 0.
-11, -8
Factor -3*q**3 + 63*q**2 + 72*q - 132.
-3*(q - 22)*(q - 1)*(q + 2)
Factor 2*p**4/5 - 88*p**3/5 + 876*p**2/5 + 2024*p/5 + 1058/5.
2*(p - 23)**2*(p + 1)**2/5
Let 5*l**4 + 20*l**3 - 150*l**2 - 500*l + 625 = 0. What is l?
-5, 1, 5
Find v such that -10*v**4 - 2778*v**3/7 - 9188*v**2/7 + 3648*v/7 + 1728/7 = 0.
-36, -4, -2/7, 3/5
Factor 2*m**4/7 - 16*m**3/7 + 34*m**2/7 - 20*m/7.
2*m*(m - 5)*(m - 2)*(m - 1)/7
Solve 2*m**4/19 + 1012*m**3/19 + 128010*m**2/19 - 4048*m/19 - 512072/19 = 0.
-253, -2, 2
Factor 3*x**2 + 84*x.
3*x*(x + 28)
Find z such that -4*z**3 - 108*z**2 + 1156*z + 1260 = 0.
-35, -1, 9
Suppose -s**5 - 12*s**4 - 21*s**3 - 10*s**2 = 0. What is s?
-10, -1, 0
Factor m**5/5 + 1251*m**4/5 + 393123*m**3/5 + 1171873*m**2/5 + 1169376*m/5 + 389376/5.
(m + 1)**3*(m + 624)**2/5
Factor 9*t**4 + 39*t**3 - 414*t**2 - 1404*t + 3240.
3*(t - 6)*(t + 6)**2*(3*t - 5)
Suppose 2*v**2/11 - 256*v/11 - 258/11 = 0. What is v?
-1, 129
What is w in -5*w**5 + 245*w**4 - 3455*w**3 + 9275*w**2 + 29920*w + 16940 = 0?
-1, 7, 22
Factor 2*o**2/7 - 82*o/7 + 228/7.
2*(o - 38)*(o - 3)/7
Factor -5*j**3 + 842*j**2 - 1996*j + 664.
-(j - 166)*(j - 2)*(5*j - 2)
Factor -6*l**2/7 - 88*l/7 - 256/7.
-2*(l + 4)*(3*l + 32)/7
What is b in -4*b**5 - 17*b**4 + 24*b**3 + 95*b**2 - 74*b - 24 = 0?
-4, -3, -1/4, 1, 2
Let a**4/3 + 4*a**3/3 - 28*a**2/3 + 32*a/3 = 0. What is a?
-8, 0, 2
Factor -y**3/6 - 7*y**2/3 - 22*y/3 - 20/3.
-(y + 2)**2*(y + 10)/6
Factor -o**2/4 - o/2.
-o*(o + 2)/4
Factor -24565*k**4 + 11291230*k**3 + 3987180*k**2 + 469160*k + 18400.
-5*(k - 460)*(17*k + 2)**3
Determine l so that 4*l**2 - 3384*l + 715716 = 0.
423
Factor 4*k**2 + 5700*k.
4*k*(k + 1425)
Factor -302*y**2 + 6*y.
-2*y*(151*y - 3)
What is x in x**2 - 20*x + 51 = 0?
3, 17
Determine o, given that -512*o**4/21 + 1432*o**2/21 - 54*o + 28/3 = 0.
-2, 1/4, 7/8
Factor -5*j**2 + 1370*j + 2760.
-5*(j - 276)*(j + 2)
Let -3*y**4/5 + 2676*y**3/5 + 2682*y**2/5 - 2676*y/5 - 2679/5 = 0. What is y?
-1, 1, 893
Determine u so that 6*u**5/5 - 24*u**4/5 - 96*u**3/5 + 132*u**2/5 + 18*u - 108/5 = 0.
-3, -1, 1, 6
Suppose -j*