*q**3/11 - 392*q**2/11 = 0. Calculate q.
0, 14
Let 5*b**3 - 715*b**2 + 16400*b + 706020 = 0. Calculate b.
-21, 82
Solve -15*d**4/2 - 25*d**3/2 + 20*d**2 = 0.
-8/3, 0, 1
Factor q**3 - 19*q**2/3 - 104*q/3 - 20.
(q - 10)*(q + 3)*(3*q + 2)/3
Factor -4*j**3 - 2876*j**2 - 518396*j - 515524.
-4*(j + 1)*(j + 359)**2
Find k, given that -35*k**4 + 305*k**3 - 715*k**2 + 295*k + 150 = 0.
-2/7, 1, 3, 5
Let -s**2 + 6*s - 5 = 0. Calculate s.
1, 5
Factor 3*v**5/8 - 9*v**4/8 + 3*v**2/2.
3*v**2*(v - 2)**2*(v + 1)/8
Factor -3*f**4 + 84*f**3 - 882*f**2 + 4116*f - 7203.
-3*(f - 7)**4
Factor 2*w**3 + 18*w**2 + 36*w.
2*w*(w + 3)*(w + 6)
Find a such that 5*a**4 - 335*a**3 + 330*a**2 = 0.
0, 1, 66
Determine g, given that -17150*g**5 + 9604*g**4 + 15862*g**3 - 9620*g**2 + 1288*g + 16 = 0.
-1, -2/175, 2/7, 1
Factor -3*o**3 + 102*o**2 - 1155*o + 4356.
-3*(o - 12)*(o - 11)**2
Factor j**5/5 - 57*j**4/5 + 33*j**3 - 163*j**2/5 + 54*j/5.
j*(j - 54)*(j - 1)**3/5
Suppose -2*v**2/9 + 188*v/9 - 368/9 = 0. What is v?
2, 92
Find d, given that -25*d**5/4 + 15*d**4/2 + 25*d**3/4 - 15*d**2/2 = 0.
-1, 0, 1, 6/5
Suppose -18*s**3 - 12198*s**2 + 16288*s - 5432 = 0. What is s?
-679, 2/3
Find n, given that -2*n**4/5 - 24*n**3/5 - 86*n**2/5 - 24*n - 56/5 = 0.
-7, -2, -1
Factor 3*r**4 - 15*r**3 + 24*r**2 - 12*r.
3*r*(r - 2)**2*(r - 1)
Factor 5*b**4 + 75*b**3 + 135*b**2 + 65*b.
5*b*(b + 1)**2*(b + 13)
Determine v so that v**4/4 - 15*v**3/2 + 25*v**2/4 + 30*v - 29 = 0.
-2, 1, 2, 29
Determine h, given that -15*h**2 + 10*h + 105 = 0.
-7/3, 3
Factor -5*a**2 + 190*a - 1805.
-5*(a - 19)**2
Determine i so that -5*i**4/6 - 25*i**3/3 + 115*i**2/6 - 10*i = 0.
-12, 0, 1
Factor c**5 - 36*c**4 - 155*c**3 - 198*c**2 - 80*c.
c*(c - 40)*(c + 1)**2*(c + 2)
Factor o**3/6 - 323*o**2/6 + 4320*o + 4374.
(o - 162)**2*(o + 1)/6
Factor 10*s**4 + 45*s**3 + 60*s**2 + 20*s.
5*s*(s + 2)**2*(2*s + 1)
Factor -5*s**3 + 35*s**2 - 10*s - 200.
-5*(s - 5)*(s - 4)*(s + 2)
Factor 3*m**3/5 + 111*m**2/5.
3*m**2*(m + 37)/5
Suppose -5*f**3 + 155*f**2 - 1315*f + 3325 = 0. What is f?
5, 7, 19
What is a in a**4/7 - 8*a**3/7 + 3*a**2 - 22*a/7 + 8/7 = 0?
1, 2, 4
Factor -n**4 + 11*n**3 - 31*n**2 + 21*n.
-n*(n - 7)*(n - 3)*(n - 1)
Factor -4*c**2 + 4*c + 120.
-4*(c - 6)*(c + 5)
Solve 129*a**2/5 + 643*a/5 - 2 = 0 for a.
-5, 2/129
Find a, given that -a**5/5 - 4*a**4 - 152*a**3/5 - 538*a**2/5 - 171*a - 90 = 0.
-6, -5, -3, -1
Let -16*k**5/3 + 44*k**4 - 304*k**3/3 + 76*k**2 - 40*k/3 = 0. What is k?
0, 1/4, 1, 2, 5
Find d such that -18*d**3/7 - 386*d**2/7 - 528*d/7 - 160/7 = 0.
-20, -1, -4/9
What is c in -c**5/3 + 2*c**4/3 + 11*c**3/3 - 8*c**2/3 - 20*c/3 + 16/3 = 0?
-2, 1, 4
Solve -5*u**4 + 40*u**3 - 60*u**2 - 160*u + 320 = 0.
-2, 2, 4
Solve 4*q**3 - 40*q**2 - 364*q - 320 = 0 for q.
-5, -1, 16
Suppose -p**3/2 + 18*p**2 + p/2 - 18 = 0. Calculate p.
-1, 1, 36
Solve 2*f**5/9 + 68*f**4/9 - 4*f**3/9 - 136*f**2/9 + 2*f/9 + 68/9 = 0.
-34, -1, 1
Let 2*c**2/7 - 1112*c/7 + 154568/7 = 0. What is c?
278
Factor -2*n**4/5 + 12*n**3/5 + 18*n**2/5 - 28*n/5.
-2*n*(n - 7)*(n - 1)*(n + 2)/5
Factor -3*i**2 + 1218*i - 123627.
-3*(i - 203)**2
Determine t so that -4*t**3 + 72*t**2 - 128*t = 0.
0, 2, 16
Factor k**3 + k**2 - 42*k.
k*(k - 6)*(k + 7)
Factor n**2/3 + 9*n + 24.
(n + 3)*(n + 24)/3
Suppose -2*p**3/13 + 2*p**2 + 92*p/13 + 64/13 = 0. What is p?
-2, -1, 16
Factor 3*l**2/2 - 2193*l/2 + 1095.
3*(l - 730)*(l - 1)/2
Factor -2*q**2/7 - 706*q/7 + 408.
-2*(q - 4)*(q + 357)/7
Solve -2*b**3 + 222*b**2 = 0 for b.
0, 111
Factor -5*u**5 - 20*u**4 - 25*u**3 - 10*u**2.
-5*u**2*(u + 1)**2*(u + 2)
Determine m, given that m**2 + 2580*m + 1664100 = 0.
-1290
Solve -l**3 - 151*l**2 + 305*l - 153 = 0.
-153, 1
Determine r so that 15*r**4 - 100*r**3 - 485*r**2 - 150*r = 0.
-3, -1/3, 0, 10
Factor c**4 + 3*c**3 + 2*c**2.
c**2*(c + 1)*(c + 2)
Solve -f**4/2 + f**3/2 + 8*f**2 - 2*f - 24 = 0 for f.
-3, -2, 2, 4
Factor 4*c**4 - 4*c**2.
4*c**2*(c - 1)*(c + 1)
Factor 4*b**2/5 + 9*b/5 + 2/5.
(b + 2)*(4*b + 1)/5
Find o, given that -o**5/4 + 11*o**4/4 + 37*o**3/2 + 25*o**2 - 14*o - 32 = 0.
-2, 1, 16
Solve 5*x**2 - 85*x - 840 = 0 for x.
-7, 24
Factor 5*q**4 + 940*q**3 + 66270*q**2 + 2076460*q + 24398405.
5*(q + 47)**4
Solve -2*d**3/9 + 352*d**2/3 + 2*d/9 - 352/3 = 0 for d.
-1, 1, 528
Determine g, given that 4*g**3 + 112*g**2 + 820*g + 1800 = 0.
-18, -5
Solve u**5/3 - 62*u**4/3 - 87*u**3 - 202*u**2/3 + 260*u/3 + 88 = 0.
-2, -1, 1, 66
Factor s**2 + 462*s + 2736.
(s + 6)*(s + 456)
Find y, given that 383*y**3 - 385*y**2 - 2296*y + 12 = 0.
-2, 2/383, 3
Factor -x**2 + 28*x.
-x*(x - 28)
Suppose 2*h**4 + 42*h**3 + 274*h**2 + 558*h + 324 = 0. What is h?
-9, -2, -1
Let -2*o**2 - 30*o - 28 = 0. Calculate o.
-14, -1
What is m in 5*m**3 - 235*m**2 = 0?
0, 47
Find f, given that -f**3 + 354*f**2 - 41772*f + 1643032 = 0.
118
Find r such that 112*r**5 - 220*r**4 - 1248*r**3 + 1316*r**2 + 136*r - 96 = 0.
-3, -2/7, 1/4, 1, 4
Suppose -6*d**3/7 - 51*d**2/7 - 93*d/7 + 60/7 = 0. What is d?
-5, -4, 1/2
Find d such that 2*d**5/5 - 18*d**4/5 - 44*d**3/5 = 0.
-2, 0, 11
Factor 2*c**2/5 + 10*c - 108/5.
2*(c - 2)*(c + 27)/5
Factor -3*w**3 - 51*w**2 - 273*w - 441.
-3*(w + 3)*(w + 7)**2
Factor -2*q**3/15 + 2*q**2 - 18*q/5 - 162/5.
-2*(q - 9)**2*(q + 3)/15
Factor 3*f**3 - 2*f**2 - 27*f + 18.
(f - 3)*(f + 3)*(3*f - 2)
Find m such that -32*m**2 - 6*m = 0.
-3/16, 0
Find n, given that 2*n**5 - 192*n**4 - 1198*n**3 - 2628*n**2 - 2440*n - 816 = 0.
-2, -1, 102
Factor -4*o**2 + 164*o - 1320.
-4*(o - 30)*(o - 11)
Factor 3*p**5/2 - 3*p**4 - 6*p**3 + 12*p**2.
3*p**2*(p - 2)**2*(p + 2)/2
Factor 2*g**4 + 17*g**3 - 29*g**2 + 10*g.
g*(g - 1)*(g + 10)*(2*g - 1)
Find k, given that -2*k**3 + 232*k**2 - 678*k = 0.
0, 3, 113
Factor -4*o**2 - 512*o - 508.
-4*(o + 1)*(o + 127)
Suppose -k**4 + 397*k**3 + 3*k**2 - 1189*k - 794 = 0. What is k?
-1, 2, 397
Let 2*c**2 - 2120*c = 0. Calculate c.
0, 1060
Factor 4*u**2/5 - 448*u/5 - 276.
4*(u - 115)*(u + 3)/5
Solve 1520*t**5/13 - 3444*t**4/13 + 2334*t**3/13 - 32*t**2 + 6*t/13 = 0 for t.
0, 3/190, 1/4, 1
Find w, given that -5*w**2/3 - 1645*w/3 + 550 = 0.
-330, 1
Determine u so that -2*u**5/3 - 10*u**4 + 74*u**3/3 + 94*u**2/3 - 48*u - 136/3 = 0.
-17, -1, 2
Determine h, given that -10*h**4/11 - 214*h**3/11 - 284*h**2/11 - 80*h/11 = 0.
-20, -1, -2/5, 0
Factor -612*d**2 - 8*d.
-4*d*(153*d + 2)
Find t such that -2*t**3 + 92*t**2 = 0.
0, 46
Factor -3*g**3 - 90*g**2 - 675*g - 1500.
-3*(g + 5)**2*(g + 20)
Find f such that -28*f**5 + 820*f**4 - 6504*f**3 + 7280*f**2 - 1568*f = 0.
0, 2/7, 1, 14
Determine s so that -s**2/5 - 220*s - 60500 = 0.
-550
Factor h**5 - 104*h**4 + 3456*h**3 - 31104*h**2 - 186624*h.
h*(h - 36)**3*(h + 4)
Let -3*z**4/2 - 39*z**3/2 - 99*z**2/2 - 93*z/2 - 15 = 0. What is z?
-10, -1
Let n**5/3 - 4*n**4/3 - 4*n**3/3 + 16*n**2/3 = 0. Calculate n.
-2, 0, 2, 4
Let 2*a**4 - 12*a**3 - 54*a**2 - 8*a + 72 = 0. What is a?
-2, 1, 9
Suppose u**5/2 - 1481*u**4/2 + 1479*u**3 + u**2 - 2959*u/2 + 1479/2 = 0. Calculate u.
-1, 1, 1479
Factor -3*c**4 + 129*c**3 - 246*c**2.
-3*c**2*(c - 41)*(c - 2)
Factor -3*v**4 - 9*v**3 + 30*v**2.
-3*v**2*(v - 2)*(v + 5)
Factor -2*a**2 + 128*a - 590.
-2*(a - 59)*(a - 5)
Factor -2*m**3/3 + 22*m**2/3 - 52*m/3 + 32/3.
-2*(m - 8)*(m - 2)*(m - 1)/3
Find x such that 2*x**3/5 - 62*x**2/5 + 608*x/5 - 384 = 0.
8, 15
Find n such that 2*n**3/17 + 62*n**2/17 + 350*n/17 - 414/17 = 0.
-23, -9, 1
Factor -3*k**2 - 4404*k.
-3*k*(k + 1468)
Solve -2*k**5/13 + 6*k**3/13 + 4*k**2/13 = 0.
-1, 0, 2
Let -5*u**5 + 490*u**4 - 12485*u**3 + 23520*u**2 - 11520*u = 0. What is u?
0, 1, 48
Let -y**5 + y**4 + 3*y**3 - y**2 - 2*y = 0. What is y?
-1, 0, 1, 2
What is i in -9*i**4/7 + 25*i**3/7 + 123*i**2/7 - 109*i/7 - 30/7 = 0?
-3, -2/9, 1, 5
Suppose -4*z**4 - 24*z**3 + 780*z**2 - 1472*z + 720 = 0. Calculate z.
-18, 1, 10
Factor f**4 - 283*f**2 + 2178*f - 3240.
(f - 9)**2*(f - 2)*(f + 20)
Solve -u**2/4 - 3*u/2 - 5/4 = 0.
-5, -1
Solve -5*p**4 - 10*p**3 + 45*p**2 + 10*p - 40 = 0 for p.
-4, -1, 1, 2
Suppose 7*m**4/2 - 59*m**3/4 + 17*m**2 - 3*m = 0. Calculate m.
0, 3/14, 2
Factor -8*d**3/5 - 352*d**2/5 - 738*d + 810.
-2*(d - 1)*(2*d + 45)**2/5
Solve -2*t**3/17 - 20*t**2/17 - 58*t/17 - 40/17 = 0 for t.
-5, -4, -1
Factor 2*n**2/3 - 592*n + 131424.
2*(n - 444)**2/3
Factor 2*j**2/5 + 2*j - 208/5.
2*(j - 8)*(j + 13)/5
Determi