6 + 35*r/6 - 6 = 0 for r.
-36, 1
Solve -2*k**2 + 160*k + 498 = 0 for k.
-3, 83
Factor 2*a**4 - 46*a**3 + 330*a**2 - 594*a - 972.
2*(a - 9)**2*(a - 6)*(a + 1)
Factor 2*f**2/7 - 732*f/7 + 66978/7.
2*(f - 183)**2/7
Let -4*n**4 - 8*n**3 + 140*n**2 = 0. What is n?
-7, 0, 5
Solve -3*p**4 + 561*p**3 - 35154*p**2 + 749580*p - 714984 = 0 for p.
1, 62
Factor -3*o**2/2 + 135*o - 783/2.
-3*(o - 87)*(o - 3)/2
Factor 3*d**5 + 3*d**4 - 6*d**3.
3*d**3*(d - 1)*(d + 2)
Determine o so that 21*o**2 + 822*o + 117 = 0.
-39, -1/7
Factor 2*w**2/7 + 2*w - 60/7.
2*(w - 3)*(w + 10)/7
Let -12*q**5/7 + 579*q**4/7 - 7608*q**3/7 + 15114*q**2/7 - 1380*q + 1587/7 = 0. Calculate q.
1/4, 1, 23
Factor j**4/10 - 39*j**3/10 - 381*j**2/5 - 1328*j/5 + 1728/5.
(j - 54)*(j - 1)*(j + 8)**2/10
Factor h**5/4 - 5*h**4/4 + 9*h**3/4 - 7*h**2/4 + h/2.
h*(h - 2)*(h - 1)**3/4
Factor 2*l**5/5 - 54*l**4/5 + 336*l**3/5 + 392*l**2/5.
2*l**2*(l - 14)**2*(l + 1)/5
Factor l**2/5 - 66*l/5 - 67/5.
(l - 67)*(l + 1)/5
Let u**3 - 186*u**2 = 0. Calculate u.
0, 186
Factor 3*u**2/2 + 2322*u + 898614.
3*(u + 774)**2/2
Suppose -2*z**3/7 - 10*z**2/7 + 44*z/7 - 32/7 = 0. What is z?
-8, 1, 2
Find g such that 10*g**5 + 274*g**4 + 858*g**3 + 1030*g**2 + 532*g + 96 = 0.
-24, -1, -2/5
Factor 3*f**3/5 - 46*f**2/5 + 13*f/5 + 6.
(f - 15)*(f - 1)*(3*f + 2)/5
Let a**5/3 + 29*a**4/3 + 94*a**3/3 - 62*a**2 - 309*a - 225 = 0. Calculate a.
-25, -3, -1, 3
Solve 2*c**3/5 + 42*c**2/5 + 112*c/5 + 72/5 = 0 for c.
-18, -2, -1
Determine y, given that 3*y**3/7 - 9*y/7 - 6/7 = 0.
-1, 2
Factor 3*m**3/2 + 9*m**2/2 - 219*m/2 + 495/2.
3*(m - 5)*(m - 3)*(m + 11)/2
Factor -j**2/5 + 36*j/5 - 36.
-(j - 30)*(j - 6)/5
Factor y**4 + 42*y**3 + 117*y**2 - 4*y - 156.
(y - 1)*(y + 2)**2*(y + 39)
Find i, given that -4*i**4 + 216*i**3 + 2784*i**2 + 4904*i + 2340 = 0.
-9, -1, 65
Factor -2*m**3/3 + 10*m**2 - 118*m/3 + 30.
-2*(m - 9)*(m - 5)*(m - 1)/3
Find f such that -44*f**5 - 932*f**4 - 6196*f**3 - 13372*f**2 - 9360*f - 1296 = 0.
-9, -2, -1, -2/11
Let -3*k**5/2 + 91*k**4/2 - 15*k**3 = 0. Calculate k.
0, 1/3, 30
Find b such that 2*b**3/17 + 114*b**2/17 + 108*b/17 - 224/17 = 0.
-56, -2, 1
Solve -28*t**2/3 + 304*t/3 + 44/3 = 0 for t.
-1/7, 11
Factor 2*m**3/9 + 8*m**2/3 + 88*m/9 + 32/3.
2*(m + 2)*(m + 4)*(m + 6)/9
Factor -32*m**3 - 528*m**2 - 258*m - 32.
-2*(m + 16)*(4*m + 1)**2
Suppose 5*t**4 - 5*t**2 = 0. Calculate t.
-1, 0, 1
Factor 3*w**3/2 + 15*w**2 - 33*w/2.
3*w*(w - 1)*(w + 11)/2
Let 4*d**2 + 11*d + 7 = 0. Calculate d.
-7/4, -1
Factor 2*s**2/7 - 10*s/7 + 12/7.
2*(s - 3)*(s - 2)/7
Factor -4*u**2 + 56*u + 128.
-4*(u - 16)*(u + 2)
Let 431244*b**4 - 370260*b**3 - 63976*b**2 + 3024*b - 32 = 0. What is b?
-2/11, 2/99, 1
Suppose -5*y**4 + 170*y**3 - 885*y**2 + 1260*y = 0. What is y?
0, 3, 28
Factor -2*c**2/7 + 260*c/7 - 512/7.
-2*(c - 128)*(c - 2)/7
Find j such that -4*j**2 + 16*j - 12 = 0.
1, 3
Find m, given that -2*m**5/9 - 14*m**4/9 - 38*m**3/9 - 50*m**2/9 - 32*m/9 - 8/9 = 0.
-2, -1
Factor h**4 - 377*h**3 - 758*h**2.
h**2*(h - 379)*(h + 2)
Find v, given that -5*v**3 + 88*v**2 + 36*v = 0.
-2/5, 0, 18
Find q such that 3*q**3 - 33*q**2 + 57*q - 27 = 0.
1, 9
Let -4*x**5 - 4004*x**4 - 1334656*x**3 - 147692128*x**2 + 151716160*x + 298077632 = 0. What is x?
-334, -1, 2
Determine j so that 6*j**4 - 1504*j**3 + 6928*j**2 - 9856*j + 3936 = 0.
2/3, 2, 246
Factor 4*d**4 + 392*d**3 + 9604*d**2.
4*d**2*(d + 49)**2
Let 5*m**2/3 + 60*m + 175/3 = 0. What is m?
-35, -1
Find h such that 15*h**3/4 + 6*h**2 + 3*h/4 - 3/2 = 0.
-1, 2/5
Factor -2*c**2 - 8*c + 192.
-2*(c - 8)*(c + 12)
Find v such that -v**4/3 + 25*v**3/3 - 42*v**2 + 236*v/3 - 152/3 = 0.
2, 19
Let 3*k**2 + 1934*k - 645 = 0. Calculate k.
-645, 1/3
Let 962*c**4 - 18282*c**3 + 77036*c**2 + 95880*c - 400 = 0. What is c?
-1, 2/481, 10
Factor -4499456*z**3 - 129792*z**2 - 1248*z - 4.
-4*(104*z + 1)**3
Factor -2*q**3/3 - 2*q**2/3 + 8*q.
-2*q*(q - 3)*(q + 4)/3
Solve 20*u**2 - 155*u - 40 = 0 for u.
-1/4, 8
Find i, given that -i**5/5 + i**4 - i**3/5 - 13*i**2/5 + 2*i/5 + 8/5 = 0.
-1, 1, 2, 4
Find p, given that 3*p**3/2 - 3*p**2/2 - 3*p = 0.
-1, 0, 2
Factor 2*m**2/11 + 202*m/11 + 2136/11.
2*(m + 12)*(m + 89)/11
Factor -2*d**3/5 - 22*d**2/5 - 36*d/5.
-2*d*(d + 2)*(d + 9)/5
Factor -q**4/4 - 2*q**3 - 15*q**2/4.
-q**2*(q + 3)*(q + 5)/4
What is w in -2*w**3/7 - 44*w**2/7 + 2*w/7 + 44/7 = 0?
-22, -1, 1
Solve -5*p**4 + 520*p**3 - 13520*p**2 = 0.
0, 52
Find m such that -5*m**5 - 95*m**4 - 245*m**3 - 65*m**2 + 250*m + 160 = 0.
-16, -2, -1, 1
Let 2*n**3 + 2*n**2 - 12*n = 0. What is n?
-3, 0, 2
Solve a**2 - 965*a + 2886 = 0 for a.
3, 962
Factor -4*g**2 + 296*g - 576.
-4*(g - 72)*(g - 2)
Suppose -25*n**5 + 115*n**4 - 100*n**3 - 160*n**2 + 160*n + 80 = 0. What is n?
-1, -2/5, 2
Suppose -12*r**5/13 + 1498*r**4/13 - 47342*r**3/13 + 35220*r**2/13 + 99448*r/13 + 15376/13 = 0. Calculate r.
-1, -1/6, 2, 62
Factor 32*o**4 + 65*o**3 + 2*o**2.
o**2*(o + 2)*(32*o + 1)
Solve -v**3 - 9*v**2 - 27*v - 27 = 0 for v.
-3
Solve -10*s**5/9 - 22*s**4/3 + 118*s**3/9 + 1114*s**2/9 + 60*s - 400/9 = 0 for s.
-5, -1, 2/5, 4
Suppose 4*w**4 + 9*w**3 - 18*w**2 - 29*w - 6 = 0. What is w?
-3, -1, -1/4, 2
Solve -3*y**4 - 63*y**3 + 2718*y**2 + 58188*y - 60840 = 0 for y.
-26, 1, 30
Suppose 2*c**3 + 352*c**2 + 14760*c - 64800 = 0. Calculate c.
-90, 4
Suppose -12*a**4 + 4820*a**3 + 6444*a**2 + 1612*a = 0. Calculate a.
-1, -1/3, 0, 403
Solve -2*l**4 + 40*l**3 - 74*l**2 + 36*l = 0.
0, 1, 18
Let 4*c**2/3 - 36*c - 120 = 0. Calculate c.
-3, 30
Factor 14*d**2/13 + 3090*d/13 - 68.
2*(d + 221)*(7*d - 2)/13
Determine c, given that c**2/3 - 29*c/3 + 28/3 = 0.
1, 28
Suppose 3*f**4 - 33*f**3 + 51*f**2 + 33*f - 54 = 0. Calculate f.
-1, 1, 2, 9
Let 3*g**2 + 12*g + 12 = 0. What is g?
-2
Find k such that 2*k**2 - 136*k + 1430 = 0.
13, 55
Determine f, given that 50*f**5/9 + 170*f**4/9 + 212*f**3/9 + 116*f**2/9 + 26*f/9 + 2/9 = 0.
-1, -1/5
Factor 25*i**2 + 110*i - 240.
5*(i + 6)*(5*i - 8)
What is i in -2*i**5 + 532*i**4 - 32066*i**3 - 437144*i**2 - 1819232*i - 2473088 = 0?
-4, 139
Determine o, given that -2*o**5/11 - 258*o**4/11 - 6790*o**3/11 + 98050*o**2/11 - 336000*o/11 + 245000/11 = 0.
-70, 1, 5
Factor 3*z**2 - 864*z + 62208.
3*(z - 144)**2
Factor -2*p**2/7 - 218*p/7 + 1140/7.
-2*(p - 5)*(p + 114)/7
Factor -i**5 - 31*i**4 - 30*i**3.
-i**3*(i + 1)*(i + 30)
Determine x, given that 4*x**4/3 + 8*x**3/3 - 12*x**2 - 8*x/3 + 32/3 = 0.
-4, -1, 1, 2
Factor 8*x**4 - 6*x**3 - 2*x**2.
2*x**2*(x - 1)*(4*x + 1)
Determine j so that 14*j**4/5 - 1508*j**3/5 - 1958*j**2/5 - 436*j/5 = 0.
-1, -2/7, 0, 109
Determine q, given that 2*q**2/9 = 0.
0
Determine t, given that -t**4/2 + 105*t**3/2 - 309*t**2/2 + 307*t/2 - 51 = 0.
1, 102
Factor h**2/2 + 808*h + 326432.
(h + 808)**2/2
Factor -l**3 + 16*l**2/7 - 4*l/7.
-l*(l - 2)*(7*l - 2)/7
Suppose 3*f**4 - 81*f**3 + 75*f**2 + 81*f - 78 = 0. What is f?
-1, 1, 26
Factor 2*i**2/3 - 74*i/3 + 200.
2*(i - 25)*(i - 12)/3
Factor 2*r**2/3 - 700*r/3 + 61250/3.
2*(r - 175)**2/3
Determine w, given that 2*w**5 - 16*w**4 - 10*w**3 + 80*w**2 + 8*w - 64 = 0.
-2, -1, 1, 2, 8
Find x, given that 2*x**2/3 + 112*x/3 + 1568/3 = 0.
-28
Determine p, given that -5*p**3 + 150*p**2 - 145*p = 0.
0, 1, 29
Factor g**2/10 + 248*g/5 + 30752/5.
(g + 248)**2/10
Factor -c**3/4 - 21*c**2 - 588*c - 5488.
-(c + 28)**3/4
Factor -66*f**3 - 202*f**2 - 144*f - 8.
-2*(f + 1)*(f + 2)*(33*f + 2)
Solve p**4/4 - p**3/4 - 3*p**2/4 + p/4 + 1/2 = 0.
-1, 1, 2
Factor -3*r**2 + 714*r.
-3*r*(r - 238)
Solve 4*j**4/7 + 16*j**3/7 - 12*j**2 + 16*j/7 + 16 = 0.
-7, -1, 2
Find i such that -i**5/2 - 39*i**4/8 - 19*i**3/4 + 75*i**2/2 - 9*i = 0.
-6, 0, 1/4, 2
Factor -3*p**4 - 1614*p**3 - 217083*p**2.
-3*p**2*(p + 269)**2
Factor -2*g**3/7 + 6*g**2/7 + 20*g/7.
-2*g*(g - 5)*(g + 2)/7
Factor -2*u**2/13 - 6*u/13 + 8/13.
-2*(u - 1)*(u + 4)/13
Factor 3*s**4/4 - 3*s**3/4 - 9*s**2/2 + 3*s + 6.
3*(s - 2)**2*(s + 1)*(s + 2)/4
Suppose 4*x**3 + 6012*x**2 + 3012012*x + 503006004 = 0. Calculate x.
-501
Find h, given that -2*h**2 + 16*h - 24 = 0.
2, 6
Factor -3*o**2/2 - 243*o/2 + 123.
-3*(o - 1)*(o + 82)/2
Factor 4*a**5/9 + 52*a**4/9 - 136*a**3/3 + 880*a**2/9 - 608*a/9.
4*a*(a - 2)**3*(a + 19)/9
Let -y**4 + 9*y**3/2 + 31*y**2/2 + 27*y/2 + 7/2 = 0. Calculate y.
-1, -1/2, 7
Factor 5*p**2/4 - 35*p + 65.
5*(p - 26)*(p - 2)/4
Determine i, gi