7 + 10*j/7 + 6/7.
-2*(j - 3)*(j + 1)**2/7
Determine w so that -w**5/5 + 4*w**4/5 + 64*w**3/5 - 256*w**2/5 = 0.
-8, 0, 4, 8
Factor 81*a**3/7 - 396*a**2 + 5860*a/7 - 3200/7.
(a - 32)*(9*a - 10)**2/7
Find n such that -15*n**2 + 5652*n + 1131 = 0.
-1/5, 377
Determine m so that -m**5/5 + 869*m**4/5 - 190087*m**3/5 + 562463*m**2/5 + 3464*m/5 - 749956/5 = 0.
-1, 2, 433
Factor 2*v**2 + 24*v.
2*v*(v + 12)
Suppose 2*j**2/9 + 136*j/9 - 280/9 = 0. What is j?
-70, 2
Factor 2*w**2/17 + 86*w/17 - 480/17.
2*(w - 5)*(w + 48)/17
Find g such that 3*g**3 - 21*g + 18 = 0.
-3, 1, 2
Factor 2*v**4/3 - 16*v**3/3 + 14*v**2/3.
2*v**2*(v - 7)*(v - 1)/3
Factor -2*n**2/9 - 140*n/9 - 650/9.
-2*(n + 5)*(n + 65)/9
Factor 3*s**2/8 - 321*s/4 + 34347/8.
3*(s - 107)**2/8
Let -5*v**5 + 35*v**4 + 295*v**3 + 165*v**2 - 1170*v - 1080 = 0. What is v?
-3, -1, 2, 12
Find f, given that -4*f**4 - 164*f**3 - 468*f**2 - 460*f - 152 = 0.
-38, -1
Determine n, given that 6*n**4/7 - 34*n**3/7 + 8*n**2 - 24*n/7 = 0.
0, 2/3, 2, 3
Factor 10*s**4/7 + 372*s**3/7 + 74*s**2/7.
2*s**2*(s + 37)*(5*s + 1)/7
Find u such that -7*u**4/5 + 96*u**3/5 - 119*u**2/5 - 294*u/5 - 72/5 = 0.
-1, -2/7, 3, 12
Suppose q**3/7 - 2276*q**2/7 + 9092*q/7 - 9088/7 = 0. What is q?
2, 2272
Factor -2*v**2/5 + 26*v/5 - 44/5.
-2*(v - 11)*(v - 2)/5
Factor -u**3/5 - 13*u**2/5 - 16*u/5 + 192/5.
-(u - 3)*(u + 8)**2/5
Factor -2*x**2/17 - 1456*x/17 - 264992/17.
-2*(x + 364)**2/17
Let x**2 - 8*x - 20 = 0. Calculate x.
-2, 10
Find l such that 2*l**5 + 4*l**4 - 38*l**3 + 56*l**2 - 24*l = 0.
-6, 0, 1, 2
Solve -q**5/3 + 4*q**4 - 47*q**3/3 + 52*q**2/3 + 16*q - 64/3 = 0.
-1, 1, 4
Determine b so that 15*b**3 - 140*b**2 + 400*b - 320 = 0.
4/3, 4
Factor 4*x**2 + 644*x - 648.
4*(x - 1)*(x + 162)
What is p in -48*p**2 + 291*p - 18 = 0?
1/16, 6
Let -3*o**4/5 - 168*o**3/5 + 906*o**2/5 - 576*o/5 - 1647/5 = 0. Calculate o.
-61, -1, 3
Let 2*m**4/3 - 8*m**3/3 - 22*m**2/3 - 4*m = 0. Calculate m.
-1, 0, 6
Let -94*k**3 + 239*k**2 - 151*k + 6 = 0. What is k?
2/47, 1, 3/2
Factor 5*i**3/2 + 10*i**2 - 195*i/2 + 135.
5*(i - 3)*(i - 2)*(i + 9)/2
Factor -i**2/5 - 36*i/5 + 76/5.
-(i - 2)*(i + 38)/5
Find h such that 2*h**4/7 - 4*h**3/7 - 8*h**2/7 + 4*h/7 + 6/7 = 0.
-1, 1, 3
Solve 3*c**3 + 351*c**2 + 13689*c + 177957 = 0.
-39
Solve -5*x**5 - 185*x**4 + 390*x**3 - 10*x**2 - 385*x + 195 = 0 for x.
-39, -1, 1
Factor -5*d**5 - 10*d**4 + 90*d**3 - 160*d**2 + 115*d - 30.
-5*(d - 1)**4*(d + 6)
Factor 4*t**2 + 16*t - 48.
4*(t - 2)*(t + 6)
Factor -5*p**3 - 15*p**2 + 30*p + 40.
-5*(p - 2)*(p + 1)*(p + 4)
Suppose -2*y**5 - 3154*y**4/5 + 384*y**3 + 7592*y**2/5 + 2528*y/5 = 0. What is y?
-316, -1, -2/5, 0, 2
Factor c**5 + 28*c**4 + 78*c**3 + 76*c**2 + 25*c.
c*(c + 1)**3*(c + 25)
Factor -q**3/7 - 5507*q**2/7 - 1573*q - 5505/7.
-(q + 1)**2*(q + 5505)/7
Factor 2*a**3/3 - 26*a/3 + 8.
2*(a - 3)*(a - 1)*(a + 4)/3
Factor -5*s**2 + 190*s - 185.
-5*(s - 37)*(s - 1)
Solve -2*l**3 + 413*l**2/3 - 113*l - 68/3 = 0 for l.
-1/6, 1, 68
Find y, given that 5*y**5 - 65*y**4 + 290*y**3 - 530*y**2 + 425*y - 125 = 0.
1, 5
What is a in a**5 - 8*a**4 + 19*a**3 - 12*a**2 = 0?
0, 1, 3, 4
Let -2*l**5/5 + 76*l**4/5 + 526*l**3/5 - 32632*l**2/5 + 63392*l/5 - 6272 = 0. What is l?
-20, 1, 28
Factor -4*j**3 - 72*j**2 + 100*j + 456.
-4*(j - 3)*(j + 2)*(j + 19)
Let -2*h**3/5 + 10*h**2 - 224*h/5 - 1176/5 = 0. Calculate h.
-3, 14
Solve 4*u**2/5 + 144*u/5 = 0 for u.
-36, 0
Factor -4*w**4 - 32*w**3 - 60*w**2.
-4*w**2*(w + 3)*(w + 5)
Factor 4*q**5 + 24*q**4 + 52*q**3 + 48*q**2 + 16*q.
4*q*(q + 1)**2*(q + 2)**2
Factor -4*p**2/3 + 368*p/3 - 8464/3.
-4*(p - 46)**2/3
Find y, given that y**2/5 + 1188*y/5 + 352836/5 = 0.
-594
Find n such that -2*n**3/7 + 118*n**2/7 + 496*n/7 + 72 = 0.
-2, 63
Factor 2*c**3/9 + 2*c**2/9 - 4*c/3.
2*c*(c - 2)*(c + 3)/9
What is r in -2*r**2 + 16*r - 14 = 0?
1, 7
Factor w**4/8 - w**3/2 - 27*w**2/8 + 81*w/4 - 27.
(w - 4)*(w - 3)**2*(w + 6)/8
Suppose 5*f**5 - 5*f**4 - 15*f**3 + 5*f**2 + 10*f = 0. Calculate f.
-1, 0, 1, 2
Determine w, given that w**3 + 3*w**2 = 0.
-3, 0
Find g such that g**2 + 14*g + 13 = 0.
-13, -1
Factor 8*a**3/3 - 32*a**2 - 210*a - 850/3.
2*(a - 17)*(2*a + 5)**2/3
Factor -2*v**5 + 188*v**4 - 4418*v**3.
-2*v**3*(v - 47)**2
Determine c so that 5*c**4 + 70*c**3 + 165*c**2 - 560*c + 320 = 0.
-8, 1
Let q**2/3 + 214*q/3 = 0. Calculate q.
-214, 0
Factor -3*t**3/4 - 249*t**2/4 - 1260*t + 1323.
-3*(t - 1)*(t + 42)**2/4
Factor -3*w**3 - 879*w**2 - 63945*w + 64827.
-3*(w - 1)*(w + 147)**2
Let -2*x**2/11 - 150*x/11 + 28 = 0. What is x?
-77, 2
Let -4*n**3/9 + 838*n**2/3 - 43960*n + 197192/9 = 0. What is n?
1/2, 314
Factor s**3/7 + 58*s**2/7.
s**2*(s + 58)/7
Find c such that 3*c**5 + 54*c**4 + 204*c**3 + 90*c**2 - 351*c = 0.
-13, -3, 0, 1
Suppose -2*n**2/23 + 564*n/23 + 566/23 = 0. Calculate n.
-1, 283
Factor -5*u**2 - 95*u + 330.
-5*(u - 3)*(u + 22)
Let 4*g**2 - 64*g - 420 = 0. Calculate g.
-5, 21
Solve 245*p**5 - 875*p**4 + 1175*p**3 - 725*p**2 + 200*p - 20 = 0 for p.
2/7, 1
Suppose -5*m**3 + 60*m**2 = 0. Calculate m.
0, 12
Factor -216*j**5 + 862*j**4 - 1288*j**3 + 852*j**2 - 208*j - 2.
-2*(j - 1)**4*(108*j + 1)
Factor 5*h**5 - 5*h**4 - 70*h**3 + 120*h**2.
5*h**2*(h - 3)*(h - 2)*(h + 4)
Factor -4*r**4 - 108*r**3 - 692*r**2 - 1668*r - 1368.
-4*(r + 2)*(r + 3)**2*(r + 19)
Factor -2*z**2/5 + 42*z/5.
-2*z*(z - 21)/5
Solve 25*w**4/2 - 35*w**3/2 - 415*w**2/2 - 205*w/2 + 75 = 0 for w.
-3, -1, 2/5, 5
Solve -5*r**5 + 70*r**4 + 45*r**3 - 1930*r**2 - 4900*r - 3000 = 0.
-3, -2, -1, 10
Factor 5*p**4 + 5*p**3 - 325*p**2 - 1125*p.
5*p*(p - 9)*(p + 5)**2
Factor 4*k**3/7 - 36*k**2/7 - 136*k/7 - 96/7.
4*(k - 12)*(k + 1)*(k + 2)/7
Find u such that 2*u**3/7 + 72*u**2/7 + 538*u/7 + 468/7 = 0.
-26, -9, -1
Factor 5*z**2 + 24530*z + 30086045.
5*(z + 2453)**2
Factor -5*w**4 + 40*w**3 - 35*w**2.
-5*w**2*(w - 7)*(w - 1)
Suppose -3*b**2 - 2763*b = 0. What is b?
-921, 0
Determine n so that -196*n**4 + 10864*n**3 + 6256*n**2 + 896*n = 0.
-2/7, 0, 56
Solve -z**2/2 - 3*z/2 - 9/8 = 0.
-3/2
Factor -m**3/3 - 80*m**2 + 161*m - 242/3.
-(m - 1)**2*(m + 242)/3
Factor -2*m**3/11 - 62*m**2/11 - 60*m/11.
-2*m*(m + 1)*(m + 30)/11
Factor 3*w**4 + 141*w**3 - 762*w**2 + 936*w.
3*w*(w - 3)*(w - 2)*(w + 52)
Find u, given that 5*u**5 + 45*u**4 - 5*u**3 - 705*u**2 - 1260*u = 0.
-7, -3, 0, 4
Find f, given that f**4 - 101*f**3 + 3080*f**2 - 25168*f = 0.
0, 13, 44
Let -26896*a**3 + 25830*a**2 - 8208*a + 864 = 0. What is a?
12/41, 3/8
Let -2*g**2 + 194*g - 192 = 0. What is g?
1, 96
Factor r**2/2 + 169*r/2 + 249.
(r + 3)*(r + 166)/2
Determine f, given that -20*f**3/3 + 148*f**2/3 - 224*f/3 - 64 = 0.
-3/5, 4
Suppose 2*v**2/9 - 44*v/9 - 910/9 = 0. Calculate v.
-13, 35
Factor -x**5/2 - 5*x**4/2 - 7*x**3/2 - 3*x**2/2.
-x**2*(x + 1)**2*(x + 3)/2
Factor -d**4/5 - 143*d**3/5 - 142*d**2/5.
-d**2*(d + 1)*(d + 142)/5
Factor 2*x**4/7 + 90*x**3/7.
2*x**3*(x + 45)/7
Factor 5*t**3 - 2620*t**2 + 348400*t - 1352000.
5*(t - 260)**2*(t - 4)
Factor u**3 - 9*u**2 - 48*u - 52.
(u - 13)*(u + 2)**2
Find h, given that h**4/10 - 9*h**3/10 + 17*h**2/10 + 9*h/10 - 9/5 = 0.
-1, 1, 3, 6
Solve -3*r**5 - 159*r**4/4 + 69*r**3/4 + 1431*r**2/4 + 351*r/4 = 0.
-13, -3, -1/4, 0, 3
Factor -s**4 - 17*s**3 - 85*s**2 - 159*s - 90.
-(s + 1)*(s + 3)**2*(s + 10)
Let -k**3 - 755*k**2/4 + 189*k/4 = 0. Calculate k.
-189, 0, 1/4
Factor 4*y**5 + 28*y**4 - 108*y**3 + 116*y**2 - 40*y.
4*y*(y - 1)**3*(y + 10)
Factor 3*d**2/5 + 4896*d/5 + 1997568/5.
3*(d + 816)**2/5
Let l**2/5 - 274*l/5 + 18769/5 = 0. What is l?
137
Factor 2*d**2/15 + 644*d/15 + 51842/15.
2*(d + 161)**2/15
Factor 5*s**4 + 1150*s**3 + 66105*s**2 - 4600*s - 264500.
5*(s - 2)*(s + 2)*(s + 115)**2
What is l in 3*l**5/2 - 24*l**4 + 21*l**3 + 24*l**2 - 45*l/2 = 0?
-1, 0, 1, 15
What is a in -a**5/6 + a**4/2 + 32*a**3/3 + 10*a**2 = 0?
-6, -1, 0, 10
Suppose 123*h**2/7 - 732*h/7 - 36/7 = 0. What is h?
-2/41, 6
Factor v**4 - 12*v**3 - 15*v**2 + 26*v.
v*(v - 13)*(v - 1)*(v + 2)
Determine a so that -5*a**3 + 555*a**2 - 1090*a = 0.
0, 2, 109
Solve -4*a**4/5 - 128*a**3/5 - 236*a**2/5 + 128*a/5 + 48 = 0.
-30, -2, -1, 1
Suppose -105*g**3 - 695*g**2 + 1120*g - 320 = 0. What is g?
-8, 8/21, 1
Suppose 4*h**5 + 68*h**4 + 116*h**3 - 68*h**2 - 120*h = 0. What is h?
-15, -2, -1, 0, 1
What is a in -6*a**4/7 - 3062*a**3/7 - 4070*a**2/7 + 146*a + 2036/