0*j + 8 = 0. What is j?
-1, 2
Find f, given that 4*f**4 + 12*f**3 - 8*f**2 - 48*f - 32 = 0.
-2, -1, 2
Suppose -3*b**3 + 24*b**2 - 63*b + 54 = 0. Calculate b.
2, 3
Suppose 36*t**4 + 64*t**3 - 484*t**2 + 464*t - 80 = 0. Calculate t.
-5, 2/9, 1, 2
What is i in -393*i**4/5 - 399*i**3/5 + 387*i**2/5 + 399*i/5 + 6/5 = 0?
-1, -2/131, 1
Factor x**2/7 - 34*x/7 + 64/7.
(x - 32)*(x - 2)/7
Suppose 2*t**5/7 - 2*t**4/7 - 4*t**3/7 + 4*t**2/7 + 2*t/7 - 2/7 = 0. Calculate t.
-1, 1
Let -3*m**4/8 + 219*m**3/8 - 639*m**2/8 + 633*m/8 - 105/4 = 0. Calculate m.
1, 70
Solve -2*q**4 - 14320*q**3 - 38449200*q**2 - 45882712000*q - 20532513620000 = 0 for q.
-1790
Factor 4*h**3 + 12*h**2 - 4*h - 12.
4*(h - 1)*(h + 1)*(h + 3)
Factor -k**3/3 + 49*k**2/3 - 95*k/3 + 47/3.
-(k - 47)*(k - 1)**2/3
Factor 3*v**2 - 8352*v + 5812992.
3*(v - 1392)**2
Determine i so that -i**3/6 + 7*i**2/2 - 15*i = 0.
0, 6, 15
Factor -j**2/4 - j - 3/4.
-(j + 1)*(j + 3)/4
What is u in 2*u**2 - 10*u + 8 = 0?
1, 4
Factor 5*g**3 - 2775*g**2 + 5535*g - 2765.
5*(g - 553)*(g - 1)**2
Solve -39*d**2/4 - 161*d/4 - 40 = 0.
-32/13, -5/3
Factor 2*q**3/7 - 20*q**2/7 - 54*q/7 + 72/7.
2*(q - 12)*(q - 1)*(q + 3)/7
Suppose 2*x**2/19 - 210*x/19 - 872/19 = 0. Calculate x.
-4, 109
Factor i**2 + 19*i + 90.
(i + 9)*(i + 10)
Solve 2*z**5/9 + 2*z**4/3 - 4*z**3 - 80*z**2/9 = 0 for z.
-5, -2, 0, 4
What is d in 2*d**3/13 - 1990*d**2/13 + 1984*d/13 + 3976/13 = 0?
-1, 2, 994
Let 2*q**3/9 + 1034*q**2/9 + 133126*q/9 - 134162/9 = 0. What is q?
-259, 1
Factor 5*v**2 - 3210*v - 9675.
5*(v - 645)*(v + 3)
Suppose -2*b**4/7 - 10*b**3/7 - 2*b**2/7 + 6*b + 36/7 = 0. What is b?
-3, -1, 2
Determine c so that 4*c**4 + 12*c**3 - 92*c**2 + 132*c - 56 = 0.
-7, 1, 2
What is k in -10*k**5/3 - 206*k**4/3 - 116*k**3/3 + 80*k**2/3 = 0?
-20, -1, 0, 2/5
Factor -3*m**2 + 45*m - 78.
-3*(m - 13)*(m - 2)
Factor 5*l**5 - 230*l**4 + 4200*l**3 - 38000*l**2 + 170000*l - 300000.
5*(l - 10)**4*(l - 6)
Suppose -5*v**2 + 18910*v - 17879405 = 0. Calculate v.
1891
Factor 4*n**5 - 240*n**4 + 4248*n**3 - 19440*n**2 + 26244*n.
4*n*(n - 27)**2*(n - 3)**2
Determine f so that -13*f**3/2 - 245*f**2/2 - 98*f + 18 = 0.
-18, -1, 2/13
Factor 3*v**2 - 5*v/3.
v*(9*v - 5)/3
Factor -3*y**3 + 7*y**2 + 103*y - 35.
-(y - 7)*(y + 5)*(3*y - 1)
Solve 36*o**2 + 28*o - 8 = 0 for o.
-1, 2/9
Find m such that 10*m**2/3 + 148*m/3 - 10 = 0.
-15, 1/5
Find g, given that 2*g**2/9 + 9544*g/9 + 11385992/9 = 0.
-2386
Factor -4*m**2 + 2992*m + 6000.
-4*(m - 750)*(m + 2)
Let 3*v**5/2 - 429*v**4 + 45792*v**3 - 2146176*v**2 + 35831808*v + 80621568 = 0. What is v?
-2, 72
Determine r so that -2*r**3/19 + 10*r**2/19 - 16*r/19 + 8/19 = 0.
1, 2
Factor 2*r**4 - 112*r**3 + 2176*r**2 - 16640*r + 38400.
2*(r - 20)**2*(r - 12)*(r - 4)
Factor -i**3 + 780*i**2 - 202800*i + 17576000.
-(i - 260)**3
Factor 4*h**4 - 16*h**2.
4*h**2*(h - 2)*(h + 2)
Let -4*u**3 - 2252*u**2 - 26592*u - 79344 = 0. Calculate u.
-551, -6
Let 15*f**5 - 70*f**4 - 40*f**3 + 250*f**2 + 265*f + 60 = 0. What is f?
-1, -1/3, 3, 4
Find q, given that 2*q**3/15 - 34*q**2/15 + 22*q/15 + 242/3 = 0.
-5, 11
Factor 4*k**2/5 + 124*k/5 + 24.
4*(k + 1)*(k + 30)/5
Let t**5/3 - 16*t**4/3 - t**3/3 + 16*t**2/3 = 0. Calculate t.
-1, 0, 1, 16
Solve 2*x**2/3 + 100*x/3 - 106 = 0.
-53, 3
Suppose -3*r**2/7 + 3882*r/7 = 0. Calculate r.
0, 1294
Factor -z**2 + 662*z - 109561.
-(z - 331)**2
Suppose 5*i**3/4 - 80*i**2 + 315*i/4 = 0. Calculate i.
0, 1, 63
Factor -3*z**2/7 - 618*z/7 - 31827/7.
-3*(z + 103)**2/7
What is s in -3*s**5/7 + 39*s**3/7 - 36*s**2/7 = 0?
-4, 0, 1, 3
Factor 3*g**3/5 - 3*g**2 - 18*g/5.
3*g*(g - 6)*(g + 1)/5
Factor -2*o**2/9 + 20*o/3.
-2*o*(o - 30)/9
Suppose -3*s**3 + 21*s + 18 = 0. Calculate s.
-2, -1, 3
Suppose p**3 - 11*p**2 + 26*p - 16 = 0. Calculate p.
1, 2, 8
Factor 2*k**2/3 - 280*k/3 + 1176.
2*(k - 126)*(k - 14)/3
Factor -x**2/6 - 2*x - 35/6.
-(x + 5)*(x + 7)/6
Solve 2*k**2/3 - 104*k + 4056 = 0.
78
Factor -2*x**2/19 + 5172*x/19 - 3343698/19.
-2*(x - 1293)**2/19
Determine r, given that r**3 - r**2 - 16*r - 20 = 0.
-2, 5
Factor -5*x**2 + 620*x - 19220.
-5*(x - 62)**2
Factor -z**5/7 + 2*z**4/7 + 3*z**3/7.
-z**3*(z - 3)*(z + 1)/7
Factor -6*d**3 - 40*d**2 - 56*d.
-2*d*(d + 2)*(3*d + 14)
Suppose -2*c**3/7 + 276*c**2/7 - 3096*c/7 + 1296 = 0. What is c?
6, 126
Solve -3*i**3/7 - 1188*i**2/7 - 156816*i/7 - 6899904/7 = 0.
-132
Factor -2*q**3/7 - 20*q**2/7 + 286*q/7 + 2904/7.
-2*(q - 12)*(q + 11)**2/7
Suppose -h**2/2 + 151*h + 303/2 = 0. Calculate h.
-1, 303
Factor -f**2/4 + 21*f/4.
-f*(f - 21)/4
Factor -l**3/3 - l**2/3 + 2*l/3.
-l*(l - 1)*(l + 2)/3
Factor -2*q**3/7 - 4*q**2/7 + 2*q - 8/7.
-2*(q - 1)**2*(q + 4)/7
Factor -2*x**3 - 408*x**2 - 27744*x - 628864.
-2*(x + 68)**3
Suppose -k**5 - k**4 + 62*k**3 + 246*k**2 + 99*k - 405 = 0. Calculate k.
-5, -3, 1, 9
Let -q**5/2 + 101*q**4 - 201*q**3/2 = 0. What is q?
0, 1, 201
Factor -3*v**3/7 - 213*v**2/7.
-3*v**2*(v + 71)/7
Factor c**3/4 - 35*c**2/2 + 487*c/4 + 279/2.
(c - 62)*(c - 9)*(c + 1)/4
Factor 2*l**4/19 - 14*l**3/19 + 24*l**2/19.
2*l**2*(l - 4)*(l - 3)/19
Suppose -u**4/4 - 13*u**3/2 + 3*u**2/4 + 20*u + 13 = 0. What is u?
-26, -1, 2
Factor 4*b**3 + 1708*b**2 - 1720*b - 3424.
4*(b - 2)*(b + 1)*(b + 428)
Factor 4*l**2 - 16*l + 12.
4*(l - 3)*(l - 1)
Factor 4*t**3/3 + 10*t**2/9 - 26*t/9 + 4/9.
2*(t - 1)*(t + 2)*(6*t - 1)/9
Factor 700*w**3 - 44*w**2 - 808*w - 64.
4*(w + 1)*(7*w - 8)*(25*w + 2)
Determine m, given that -2*m**2/19 + 20*m/19 + 22/19 = 0.
-1, 11
Let -4*k**5/3 - 2492*k**4/3 + 7528*k**3/3 + 10016*k**2/3 = 0. Calculate k.
-626, -1, 0, 4
Solve 6*j**5/5 + 46*j**4/5 + 122*j**3/5 + 122*j**2/5 + 16*j/5 - 24/5 = 0.
-3, -2, -1, 1/3
Determine s so that -s**2 + 755*s - 754 = 0.
1, 754
Factor 2*t**3/11 + 32*t**2/11 + 162*t/11 + 252/11.
2*(t + 3)*(t + 6)*(t + 7)/11
Factor -j**3/4 - 3*j**2 + 64.
-(j - 4)*(j + 8)**2/4
Find h such that -2*h**3 - 58*h**2 + 60*h = 0.
-30, 0, 1
Find x, given that x**3/8 + 45*x**2/8 + 483*x/8 - 529/8 = 0.
-23, 1
Factor -5*u**3 + 3095*u**2 - 477400*u - 480500.
-5*(u - 310)**2*(u + 1)
Let -140*o**2 + 1816*o - 704 = 0. Calculate o.
2/5, 88/7
Suppose 3*u**3 + 294*u**2 + 579*u + 288 = 0. What is u?
-96, -1
Determine o, given that 2*o**3 + 4*o**2 - 10*o - 12 = 0.
-3, -1, 2
Solve -n**2 - 1296*n - 419904 = 0.
-648
Find t, given that -75*t**4/4 + 135*t**3/2 - 63*t**2/4 - 66*t + 36 = 0.
-1, 4/5, 3
Factor -o**3/5 + 6*o**2/5 + 9*o/5 - 14/5.
-(o - 7)*(o - 1)*(o + 2)/5
Factor 8*m**5 - 12*m**4 - 8*m**3.
4*m**3*(m - 2)*(2*m + 1)
Suppose -3*y**5 + 27*y**4 + 33*y**3 - 27*y**2 - 30*y = 0. Calculate y.
-1, 0, 1, 10
Find j such that -5*j**3 + 135*j**2 - 480*j + 460 = 0.
2, 23
Factor -2*v**4/3 - 100*v**3/3 - 478*v**2 - 4600*v/3 - 4232/3.
-2*(v + 2)**2*(v + 23)**2/3
Solve -5*o**2/3 + 3*o/2 = 0.
0, 9/10
Find y, given that -y**3/2 + 6*y**2 - 22*y + 24 = 0.
2, 4, 6
Factor 3*v**2 + 622*v + 207.
(v + 207)*(3*v + 1)
Find q, given that -4*q**4 + 16*q**3 - 12*q**2 - 16*q + 16 = 0.
-1, 1, 2
Suppose 2*j**3/3 + 26*j**2/3 + 64*j/3 + 40/3 = 0. What is j?
-10, -2, -1
Solve -m**5/4 - 2*m**4 + 15*m**3/2 - 8*m**2 + 11*m/4 = 0.
-11, 0, 1
Factor -10*d**4 + 38*d**3/5 + 12*d**2/5.
-2*d**2*(d - 1)*(25*d + 6)/5
Factor 4*y**3 + 236*y**2 + 4640*y + 30400.
4*(y + 19)*(y + 20)**2
Suppose -10*d**3 - 228*d**2 - 374*d + 84 = 0. Calculate d.
-21, -2, 1/5
Factor -2*m**3 - 500*m**2 + 8*m + 2000.
-2*(m - 2)*(m + 2)*(m + 250)
Factor k**2 - 87*k - 558.
(k - 93)*(k + 6)
Determine j so that 1119*j**4 - 6720*j**3 + 13464*j**2 - 9024*j + 48 = 0.
2/373, 2
Factor -9*v**3 - 402*v**2 - 4489*v.
-v*(3*v + 67)**2
Determine c so that 5*c**3 - 98*c**2 + 55*c + 38 = 0.
-2/5, 1, 19
Factor 3*s**3 - 315*s**2.
3*s**2*(s - 105)
Factor q**2 + 41*q + 40.
(q + 1)*(q + 40)
Solve 2*v**4/5 + 734*v**3/5 + 438*v**2 + 2186*v/5 + 728/5 = 0 for v.
-364, -1
Determine p, given that 3*p**2 - 159*p - 330 = 0.
-2, 55
Factor -w**4/9 - 35*w**3/3 + 71*w**2/3 - 107*w/9.
-w*(w - 1)**2*(w + 107)/9
Let -p**4 - 2*p**3 + 23*p**2 - 12*p - 36 = 0. Calculate p.
-6, -1, 2, 3
Determine t so that 5*t**5 - 15*t**4 - 25*t**3 + 15*t**2 + 20*t = 0.
-1, 0, 1, 4
Factor -q**3/7 - 291*q**2/7 - 2961*q + 9261.
-(q - 3)*(q + 147)**2/7
Factor o**3 - 14*o**2 + 41*o + 56.
(o - 8)*(o - 7)*(o + 1)
Factor -21*o**3 + 36*o**2 + 75*o + 18.
-3*(o - 3)*(o + 1)*(7*o + 2)
Factor -q**3/8 - 3*q**2 + 211*q/8 - 93/4.
-