e 324*q**5 - 26388*q**4 + 63196*q**3 - 49788*q**2 + 13920*q - 1264 = 0. Calculate q.
2/9, 1, 79
Factor 3*v**3 - 21*v**2 + 33*v - 15.
3*(v - 5)*(v - 1)**2
Factor -n**5/4 - 71*n**4/2 - 5041*n**3/4.
-n**3*(n + 71)**2/4
Solve 4*p**3/7 + 68*p**2/7 + 108*p/7 - 180/7 = 0.
-15, -3, 1
Factor 9*m**4 + 501*m**3 + 331*m**2 + 55*m.
m*(m + 55)*(3*m + 1)**2
Suppose -4*p**2/3 + 28*p/3 - 40/3 = 0. What is p?
2, 5
Suppose 392*c**5/5 + 56*c**4/5 - 78*c**3 - 56*c**2/5 - 2*c/5 = 0. Calculate c.
-1, -1/14, 0, 1
Factor 5*z**2 + 6630*z + 2197845.
5*(z + 663)**2
Factor 4*l**2/7 - 5*l - 99/7.
(l - 11)*(4*l + 9)/7
Solve 8*f**2/7 + 55*f/7 - 72/7 = 0.
-8, 9/8
Factor 5*u**2/2 + 70*u + 135/2.
5*(u + 1)*(u + 27)/2
Find f such that 42*f**2 - 100*f + 48 = 0.
2/3, 12/7
Factor -4*v**2 + 332*v + 336.
-4*(v - 84)*(v + 1)
Factor 3*o**2/8 - 9*o - 96.
3*(o - 32)*(o + 8)/8
What is c in -2*c**2/5 - 428*c/5 + 86 = 0?
-215, 1
What is f in -2*f**4/7 + 14*f**3 - 92*f**2/7 - 192*f/7 = 0?
-1, 0, 2, 48
Factor 4*v**2 + 1628*v.
4*v*(v + 407)
Suppose j**3 - 11*j**2 + 39*j - 45 = 0. Calculate j.
3, 5
Factor 5*j**3 - 25*j**2 - 440*j - 1040.
5*(j - 13)*(j + 4)**2
Determine r so that 2*r**2/15 - 2144*r/3 + 2872960/3 = 0.
2680
Factor k**5/5 - 8*k**4/5 + 9*k**3/5 + 58*k**2/5 - 164*k/5 + 24.
(k - 5)*(k - 2)**3*(k + 3)/5
Solve 390*k**2/11 - 1168*k/11 - 6/11 = 0.
-1/195, 3
Find a, given that 16*a**5 - 148*a**4 - 136*a**3 + 148*a**2 + 120*a = 0.
-1, -3/4, 0, 1, 10
Solve -w**3/6 - 339*w**2/2 - 677*w/2 - 1015/6 = 0.
-1015, -1
Suppose 2*k**3/9 + 4*k**2/3 + 10*k/9 = 0. What is k?
-5, -1, 0
Find m, given that -15*m**4/2 - 1371*m**3/2 - 2913*m**2 - 3666*m - 1044 = 0.
-87, -2, -2/5
Determine c, given that c**2 - 95*c - 294 = 0.
-3, 98
Factor 28*z**4 + 43*z**3 - 4*z**2 - 25*z - 6.
(z + 1)**2*(4*z - 3)*(7*z + 2)
Find c, given that -4*c**5/3 - 36*c**4 + 268*c**3 + 332*c**2/3 - 720*c - 528 = 0.
-33, -1, 2, 6
Factor -25*f**3 - 760*f**2 + 465*f.
-5*f*(f + 31)*(5*f - 3)
Factor -2*m**2/3 + 142*m + 428/3.
-2*(m - 214)*(m + 1)/3
Factor 4*u**2 + 1755*u - 439.
(u + 439)*(4*u - 1)
Factor 25*r**3 + 1835*r**2 - 1120*r - 740.
5*(r - 1)*(r + 74)*(5*r + 2)
What is w in -3*w**4/5 + 6*w**3/5 - 6*w/5 + 3/5 = 0?
-1, 1
Factor z**5 - 64*z**4 - 642*z**3 - 1120*z**2 + 1825*z.
z*(z - 73)*(z - 1)*(z + 5)**2
Factor 2*q**4 + 72*q**3 + 66*q**2 - 140*q.
2*q*(q - 1)*(q + 2)*(q + 35)
Factor a**5/9 - 9*a**4 - 91*a**3/9 + 749*a**2/9 - 302*a/3 + 328/9.
(a - 82)*(a - 1)**3*(a + 4)/9
Factor 22*r**2/15 - 148*r/15 + 16.
2*(r - 4)*(11*r - 30)/15
Factor -2*i**3 + 130*i**2 - 2046*i - 2178.
-2*(i - 33)**2*(i + 1)
Factor 4*v**2/7 - 4*v/7 - 48/7.
4*(v - 4)*(v + 3)/7
Factor -5*t**4 - 52*t**3 - 145*t**2 - 50*t.
-t*(t + 5)**2*(5*t + 2)
Factor -4*r**2/3 - 680*r/3 - 676/3.
-4*(r + 1)*(r + 169)/3
Factor -s**4/4 - 171*s**3/4 - 6681*s**2/4 + 54379*s/4 - 23763/2.
-(s - 6)*(s - 1)*(s + 89)**2/4
Factor -10*g**4 - 35*g**3 + 25*g**2 + 20*g.
-5*g*(g - 1)*(g + 4)*(2*g + 1)
Factor v**5 + 66*v**4 - 205*v**3 + 138*v**2.
v**2*(v - 2)*(v - 1)*(v + 69)
Suppose -o**4/6 + 7*o**3/3 - 10*o**2 + 12*o = 0. Calculate o.
0, 2, 6
Solve -3*s**2/7 - 24*s/7 + 27/7 = 0.
-9, 1
What is i in 3*i**3/4 - 42*i**2 - 345*i/4 - 87/2 = 0?
-1, 58
Factor 2*l**4/13 - 10*l**3/13 + 18*l**2/13 - 14*l/13 + 4/13.
2*(l - 2)*(l - 1)**3/13
Suppose -2*x**4/11 - 26*x**3/11 + 158*x**2/11 + 386*x/11 + 204/11 = 0. What is x?
-17, -1, 6
Suppose -5*a**4 - 120*a**3 + 855*a**2 - 1350*a = 0. Calculate a.
-30, 0, 3
Factor -2*c**2/9 + 22*c/9 + 8/3.
-2*(c - 12)*(c + 1)/9
Factor 3*w**4 - 21*w**3.
3*w**3*(w - 7)
Factor 5*d**2 + 45*d.
5*d*(d + 9)
Factor -15*v**2 - 10*v + 325.
-5*(v + 5)*(3*v - 13)
Factor 5*o**3 + 10*o**2 - 35*o + 20.
5*(o - 1)**2*(o + 4)
Solve -z**4 + 2*z**3 + 9*z**2 - 2*z - 8 = 0.
-2, -1, 1, 4
Factor 4*c**2/3 - 592*c/3 + 196.
4*(c - 147)*(c - 1)/3
Let -d**5 - 96*d**4 - 2301*d**3 + 286*d**2 + 6720*d - 4608 = 0. Calculate d.
-48, -2, 1
Suppose 3*k**3 + 88*k**2 - 61*k - 30 = 0. Calculate k.
-30, -1/3, 1
Let -3*z**2/8 - 39*z/8 = 0. Calculate z.
-13, 0
Suppose -r**3 - 23*r**2 - 80*r - 76 = 0. Calculate r.
-19, -2
Determine k so that -2*k**4/3 + 4*k**3/3 - 2*k**2/3 = 0.
0, 1
What is v in 4*v**5 - 252*v**4 + 3072*v**3 - 8960*v**2 - 12288*v = 0?
-1, 0, 8, 48
Solve -2*l**2/5 + 68*l/5 - 578/5 = 0 for l.
17
Determine m, given that -m**3/4 + 7*m**2/4 - 3*m = 0.
0, 3, 4
Suppose -4*z**4/5 - 1036*z**3/5 + 208*z**2 = 0. Calculate z.
-260, 0, 1
Suppose 2*z**3 - 24*z**2 + 78*z - 56 = 0. Calculate z.
1, 4, 7
Factor m**2/2 - 93*m/2.
m*(m - 93)/2
Let 2*z**2 + 80*z + 800 = 0. Calculate z.
-20
Factor -2*z**3/5 + 4*z**2/5 + 8*z/5 - 16/5.
-2*(z - 2)**2*(z + 2)/5
Factor 3*x**3/4 - 27*x**2/4 + 21*x/2 + 18.
3*(x - 6)*(x - 4)*(x + 1)/4
Suppose -h**3/2 + 67*h**2/2 - 608*h + 1536 = 0. Calculate h.
3, 32
Find h, given that 2*h**5/5 - 62*h**4/5 + 276*h**3/5 - 424*h**2/5 + 208*h/5 = 0.
0, 1, 2, 26
Find g, given that g**5/8 - 293*g**4/2 + 171111*g**3/4 + 171991*g**2/2 + 344569*g/8 = 0.
-1, 0, 587
Let -2*d**2 + 180*d - 178 = 0. What is d?
1, 89
Find x such that -3*x**2 + 990*x - 81675 = 0.
165
Suppose -3*q**5 + 12*q**4 + 48*q**3 - 318*q**2 + 531*q - 270 = 0. Calculate q.
-5, 1, 2, 3
Factor -q**4/2 - q**3 + 7*q**2/2 - 2*q.
-q*(q - 1)**2*(q + 4)/2
Determine k so that -5*k**2/3 - 16*k - 115/3 = 0.
-5, -23/5
Solve 9*m**4/2 - 11*m**3/2 - 7*m**2/2 + 11*m/2 - 1 = 0 for m.
-1, 2/9, 1
Let -2*o**2 - 12*o + 4982 = 0. What is o?
-53, 47
Factor z**5 + 171*z**4 + 500*z**3 - 672*z**2.
z**2*(z - 1)*(z + 4)*(z + 168)
Factor -324*d**3/5 - 189*d**2/5 - 18*d/5 + 3/5.
-3*(3*d + 1)**2*(12*d - 1)/5
Solve 3*z**2 - 1746*z + 254043 = 0 for z.
291
Factor 6*b**2/13 + 100*b/13 + 64/13.
2*(b + 16)*(3*b + 2)/13
Factor -n**3/5 - 13*n**2/5 + 289*n/5 - 55.
-(n - 11)*(n - 1)*(n + 25)/5
Suppose s**2 - 15*s + 26 = 0. What is s?
2, 13
Find g such that 5*g**2 + 910*g - 1840 = 0.
-184, 2
Solve -12*s**3 - 32*s**2 + 132*s - 40 = 0.
-5, 1/3, 2
Factor 2*u**3/13 + 352*u**2/13 + 1218*u + 30276/13.
2*(u + 2)*(u + 87)**2/13
Factor 18*g**2/7 - 1922*g/7 - 428/7.
2*(g - 107)*(9*g + 2)/7
Let -10*x**3/17 + 366*x**2/17 - 212*x/17 - 144/17 = 0. Calculate x.
-2/5, 1, 36
Determine h, given that h**3 - 13*h**2/4 + 9*h/4 = 0.
0, 1, 9/4
Factor -4*z**4/5 + 96*z**3/5 - 36*z**2 + 88*z/5.
-4*z*(z - 22)*(z - 1)**2/5
Solve w**2/3 - 118*w/3 + 232/3 = 0 for w.
2, 116
Let 9*i**3 - 258*i**2 - 93*i + 174 = 0. Calculate i.
-1, 2/3, 29
Factor 4*v**4/5 - 4*v**3 - 56*v**2/5.
4*v**2*(v - 7)*(v + 2)/5
Suppose 6*o**5/17 - 74*o**4 + 3324*o**3/17 - 2484*o**2/17 - 2*o/17 + 414/17 = 0. What is o?
-1/3, 1, 207
Factor 37*p**2/6 + 85*p/2 - 14/3.
(p + 7)*(37*p - 4)/6
Let -2*p**2/11 - 74*p/11 - 644/11 = 0. What is p?
-23, -14
Factor 6*d**5 + 15*d**4 + 9*d**3 - 3*d**2 - 3*d.
3*d*(d + 1)**3*(2*d - 1)
Factor -a**4/7 + 13*a**3/7 - 57*a**2/7 + 95*a/7 - 50/7.
-(a - 5)**2*(a - 2)*(a - 1)/7
Let -3*g**3 + 96*g**2 - 93*g = 0. Calculate g.
0, 1, 31
Factor -3*t**2 + 3*t + 330.
-3*(t - 11)*(t + 10)
Solve 4*i**4/5 + 2088*i**3/5 + 270384*i**2/5 - 549152*i/5 = 0 for i.
-262, 0, 2
Suppose t**3/3 - 4*t - 16/3 = 0. What is t?
-2, 4
Factor -t**2/2 - 1885*t - 3553225/2.
-(t + 1885)**2/2
Factor -4*t**2 + 1552*t - 150544.
-4*(t - 194)**2
Factor 2*a**2/9 - 20*a/9 + 2.
2*(a - 9)*(a - 1)/9
Suppose 5*o**2 + 315*o - 650 = 0. What is o?
-65, 2
Solve 8*k**2/9 + 2666*k/9 + 74 = 0 for k.
-333, -1/4
What is u in 3*u**5/2 + 283*u**4/2 + 3496*u**3 + 7404*u**2 - 184*u - 4232 = 0?
-46, -2, -1, 2/3
Find m such that -4*m**5 + 48*m**4 - 172*m**3 + 240*m**2 - 112*m = 0.
0, 1, 2, 7
Solve 5*s**3/2 + 65*s**2/2 - 35*s = 0.
-14, 0, 1
Let -o**2/7 + 20*o/7 + 3 = 0. Calculate o.
-1, 21
Solve -t**5 - 41*t**4 + 9*t**3 + 373*t**2 + 152*t - 492 = 0.
-41, -2, 1, 3
Let 22*b**4/5 + 2*b**3 - 12*b**2/5 = 0. Calculate b.
-1, 0, 6/11
Factor 5*x**4 + 1330*x**3 + 89765*x**2 + 175560*x + 87120.
5*(x + 1)**2*(x + 132)**2
Factor 5*d**3/2 - 87*d**2/2 - 258*d + 110.
(d - 22)*(d + 5)*(5*d - 2)/2
What is h in -324*h**4 + 72*h**3 + 1292*h**2 - 288*h + 16 = 0?
-2, 1/9, 2
Let 3*v**4 + 252*v**3 + 957*v**2 - 252*v - 960 = 0. Calculate v.
-80, -4, -1, 1
Suppose 2*g**5/7 + 8*g**4/7 + 6*g**3/7 - 8*g**2/7 - 8*g/7 = 0. What is g?
-2, -1, 0, 1
Solve -10*r**2/7 - 876*r/7 + 352/7 = 0 for r.
-88, 2/5
Let 6*v**4/19 + 520*v**3/19 + 1842*v**2/19 + 1320*v/19 - 664/19 = 0. Calculate v.
-83, -2, 1/3
Solve 2*z**3/