00 = 0.
-4050, -1
Solve 5*y**2/3 + 715*y/3 = 0 for y.
-143, 0
Factor -4*q**2 + 120*q + 124.
-4*(q - 31)*(q + 1)
Factor 2*c**3/3 - 490*c**2/9 + 9922*c/9 + 3362/9.
2*(c - 41)**2*(3*c + 1)/9
Determine q so that -2*q**4 - 98*q**3 + 448*q**2 + 1272*q = 0.
-53, -2, 0, 6
Factor s**2 + 77*s.
s*(s + 77)
Factor -45*f**2 - 1140*f - 7220.
-5*(3*f + 38)**2
Find y, given that -243*y**4/5 - 702*y**3/5 - 723*y**2/5 - 312*y/5 - 48/5 = 0.
-1, -4/9
Determine y so that -y**2/8 + 211*y/4 - 44521/8 = 0.
211
Factor 4*g**4 - 204*g**3 + 3240*g**2 - 11664*g - 69984.
4*(g - 18)**3*(g + 3)
Determine m, given that -2*m**2 - 752*m/3 - 1432 = 0.
-358/3, -6
Determine d, given that 4*d**2 - 1000*d + 62500 = 0.
125
Factor 2*k**3/17 - 176*k**2/17 + 502*k/17 + 40.
2*(k - 85)*(k - 4)*(k + 1)/17
Let 5*d**2/2 - 1605*d/2 = 0. Calculate d.
0, 321
What is z in 20*z**5 - 465*z**4 + 515*z**3 + 780*z**2 - 220*z = 0?
-1, 0, 1/4, 2, 22
Factor 5*r**4/2 + 6*r**3 - 9*r**2/2 - 10*r + 6.
(r - 1)*(r + 2)**2*(5*r - 3)/2
Suppose 3*x**4/4 - 9*x**3 - 63*x**2/2 - 33*x - 45/4 = 0. Calculate x.
-1, 15
Factor -4*g**2/7 + 2130*g/7 + 1066/7.
-2*(g - 533)*(2*g + 1)/7
Factor 3*v**3 + 117*v**2 + 114*v.
3*v*(v + 1)*(v + 38)
Find g, given that -16*g**3 - 332*g**2 + 96*g + 252 = 0.
-21, -3/4, 1
Suppose -2*a**3 - 142*a**2 - 2518*a - 2378 = 0. Calculate a.
-41, -29, -1
Solve -11*c**4 - 29*c**3/2 + 39*c**2/2 + 8*c - 2 = 0 for c.
-2, -1/2, 2/11, 1
Suppose -2*l**3 + 4*l**2 + 146*l + 140 = 0. Calculate l.
-7, -1, 10
Find n, given that -2*n**2/5 - 22*n/5 - 36/5 = 0.
-9, -2
Factor 3*t**2/7 + 258*t/7.
3*t*(t + 86)/7
Suppose -5*z**5 + 60*z**4 - 215*z**3 + 300*z**2 - 140*z = 0. What is z?
0, 1, 2, 7
Determine h so that h**3/11 - 174*h**2/11 - 351*h/11 - 16 = 0.
-1, 176
Determine g, given that g**2/11 - 6*g/11 + 8/11 = 0.
2, 4
Find b such that b**5 - 3*b**4 - 4*b**3 + 16*b**2 - 16 = 0.
-2, -1, 2
Let -480*j**4 + 548*j**3 + 76*j**2 - 128*j - 16 = 0. What is j?
-2/5, -1/8, 2/3, 1
Find f such that -2*f**2/9 + 8*f/9 - 2/3 = 0.
1, 3
Solve -6*q**4 + 855*q**3 - 4533*q**2 + 1629*q + 2055 = 0.
-1/2, 1, 5, 137
Find h, given that 2*h**5/15 + 2*h**4/3 - 28*h**3/15 + 4*h**2/15 + 26*h/15 - 14/15 = 0.
-7, -1, 1
Factor 2*m**4/3 - 8*m**3 + 14*m**2 - 20*m/3.
2*m*(m - 10)*(m - 1)**2/3
Let -305*x**3/4 + 445*x**2/2 + 75*x/4 = 0. Calculate x.
-5/61, 0, 3
Let 4*h**2/5 + 44*h/5 + 96/5 = 0. What is h?
-8, -3
Factor 3*d**5 + 18*d**4 - 189*d**3 + 324*d**2.
3*d**2*(d - 3)**2*(d + 12)
Factor 3*m**4 - 261*m**3 - 801*m**2 - 807*m - 270.
3*(m - 90)*(m + 1)**3
Factor 3*k**5 - 12*k**4 + 18*k**3 - 12*k**2 + 3*k.
3*k*(k - 1)**4
Factor 4*f**2/7 + 40*f/7.
4*f*(f + 10)/7
Suppose -5*q**5 + 5*q**4 + 100*q**3 - 100*q**2 - 320*q + 320 = 0. What is q?
-4, -2, 1, 2, 4
Determine n, given that -2*n**4 - 28*n**3 - 50*n**2 - 24*n = 0.
-12, -1, 0
Factor -2*w**4 + 118*w**3 - 342*w**2 + 338*w - 112.
-2*(w - 56)*(w - 1)**3
Factor u**2/2 + 6*u - 14.
(u - 2)*(u + 14)/2
Factor 3*c**2/2 - 21*c - 48.
3*(c - 16)*(c + 2)/2
What is s in 3*s**4/2 + 63*s**3/2 + 228*s**2 + 630*s + 432 = 0?
-8, -6, -1
Find d, given that 3*d**2/5 - 3/5 = 0.
-1, 1
Factor -2*u**4/9 + 22*u**3/9 - 68*u**2/9 + 16*u/3.
-2*u*(u - 6)*(u - 4)*(u - 1)/9
Find b such that -b**4/6 - 13*b**3/6 - 22*b**2/3 - 16*b/3 = 0.
-8, -4, -1, 0
Find q such that q**4 - 14*q**3 + 45*q**2 + 56*q - 196 = 0.
-2, 2, 7
Let -z**2/8 - 783*z/8 - 781/4 = 0. Calculate z.
-781, -2
Factor n**4/10 + 13*n**3/10 - 63*n**2/10 + 83*n/10 - 17/5.
(n - 2)*(n - 1)**2*(n + 17)/10
Factor 5*z**5 + 45*z**4 - 75*z**3 - 805*z**2 + 1470*z.
5*z*(z - 3)*(z - 2)*(z + 7)**2
Factor -75*z**2 - 60*z - 12.
-3*(5*z + 2)**2
Let -5*m**3 - 1695*m**2 + 5*m + 1695 = 0. What is m?
-339, -1, 1
Factor 4*l**5 + 44*l**4 + 132*l**3 + 148*l**2 + 56*l.
4*l*(l + 1)**2*(l + 2)*(l + 7)
Find w such that -33*w**4 - 204*w**3 + 492*w**2 + 96*w = 0.
-8, -2/11, 0, 2
Solve 14*n**5/5 - 78*n**4 + 3038*n**3/5 - 858*n**2 - 676*n/5 = 0.
-1/7, 0, 2, 13
Factor 5*a**3 + 415*a**2 - 1720*a + 1740.
5*(a - 2)**2*(a + 87)
Determine f so that -3*f**5/2 - 363*f**4 + 9*f**3 + 2166*f**2 - 5799*f/2 + 1089 = 0.
-242, -3, 1
Determine f, given that 275684*f**5 - 3348552*f**4 + 10410720*f**3 - 1476032*f**2 + 71232*f - 1152 = 0.
2/41, 6
Let 3*z**2 - 66*z + 171 = 0. Calculate z.
3, 19
Determine x, given that 3*x**4/5 - 201*x**3/5 + 2529*x**2/5 - 1995*x + 7644/5 = 0.
1, 7, 52
Find q such that -12*q**5/5 - 34*q**4/5 - 6*q**3 - 6*q**2/5 + 2*q/5 = 0.
-1, 0, 1/6
Solve 18*k**4 + 858*k**3 - 304*k**2 - 760*k + 384 = 0 for k.
-48, -1, 2/3
Solve 2*u**2/9 + 6*u - 72 = 0.
-36, 9
Find g such that 4*g**2/7 + 48*g + 1008 = 0.
-42
Solve 2*w**3/5 - 26*w**2/15 + 8*w/15 = 0 for w.
0, 1/3, 4
Find t, given that -t**2/4 + 2*t + 5 = 0.
-2, 10
Suppose -10*r**2 + 285*r + 145 = 0. What is r?
-1/2, 29
Let k**5 - 107*k**4 + 415*k**3 - 309*k**2 = 0. What is k?
0, 1, 3, 103
Factor -2*l**2 + 780*l - 1552.
-2*(l - 388)*(l - 2)
Factor -432*u**2/5 - 172*u/5 - 16/5.
-4*(4*u + 1)*(27*u + 4)/5
Solve -5*v**4/2 - 150*v**3 - 1930*v**2 + 9600*v - 10240 = 0.
-32, 2
Factor 2*d**2 - 302*d + 300.
2*(d - 150)*(d - 1)
Suppose -3*s**2 + 147*s + 150 = 0. Calculate s.
-1, 50
Factor -5*i**4 + 215*i**3 - 1530*i**2.
-5*i**2*(i - 34)*(i - 9)
Solve 9*u**5 + 48*u**4 + 75*u**3 + 36*u**2 = 0 for u.
-3, -4/3, -1, 0
Factor 2*o**4 - 84*o**3 - 458*o**2 - 564*o.
2*o*(o - 47)*(o + 2)*(o + 3)
Factor 8*d**2 - 366*d + 270.
2*(d - 45)*(4*d - 3)
Find u such that 5*u**2 - 218*u - 88 = 0.
-2/5, 44
Factor -q**3 - 103*q**2.
-q**2*(q + 103)
Solve b**5/2 - 3*b**4/2 + b**3 = 0.
0, 1, 2
Determine o, given that -3*o**5/8 - 3*o**4/4 + 21*o**3/8 + 15*o**2/2 + 9*o/2 = 0.
-2, -1, 0, 3
Factor b**5 - 4*b**4 - 5*b**3.
b**3*(b - 5)*(b + 1)
Determine u so that u**3/9 - 1574*u**2/9 + 619369*u/9 = 0.
0, 787
Factor 243*k**2 - 12*k.
3*k*(81*k - 4)
Determine f, given that 3*f**5/2 + 5*f**4/2 - 23*f**3/2 + 19*f**2/2 - 2*f = 0.
-4, 0, 1/3, 1
Let -4*c**3 - 100*c**2 - 88*c + 192 = 0. Calculate c.
-24, -2, 1
Find v, given that 2*v**5 - 16*v**4 + 46*v**3 - 56*v**2 + 24*v = 0.
0, 1, 2, 3
What is m in 5*m**2 + 1600*m + 128000 = 0?
-160
What is j in 5*j**5 - 660*j**4 + 20425*j**3 + 89090*j**2 + 114240*j + 46240 = 0?
-2, -1, 68
Factor -f**4 + 5*f**3 + 3*f**2 - 17*f + 10.
-(f - 5)*(f - 1)**2*(f + 2)
Suppose 2*w**5/15 + 8*w**4/5 + 56*w**3/15 + 4*w**2/5 - 58*w/15 - 12/5 = 0. Calculate w.
-9, -2, -1, 1
Factor -5*r**3 - 2145*r**2 - 4275*r - 2135.
-5*(r + 1)**2*(r + 427)
Find w, given that -2*w**5/5 + 54*w**4/5 - 206*w**3/5 - 2118*w**2/5 - 3392*w/5 - 1536/5 = 0.
-3, -1, 16
Find h such that 135*h**5/4 - 189*h**4/4 - 135*h**3/2 + 31*h**2 + 42*h + 8 = 0.
-2/3, -4/15, 1, 2
Factor -100*x**3/9 - 2920*x**2/9 + 2384*x/9 - 160/3.
-4*(x + 30)*(5*x - 2)**2/9
Factor -88*m**2 + 60*m - 8.
-4*(2*m - 1)*(11*m - 2)
Factor 5*v**5 - 205*v**4 + 2375*v**3 - 5415*v**2.
5*v**2*(v - 19)**2*(v - 3)
Factor -2*z**2/9 + 48*z - 430/9.
-2*(z - 215)*(z - 1)/9
What is x in 4*x**5 + 12*x**4 - 8*x**3 - 48*x**2 - 32*x = 0?
-2, -1, 0, 2
Suppose -5*u**4 + 10*u**3 + 55*u**2 - 60*u - 180 = 0. Calculate u.
-2, 3
What is n in 3*n**5 + 3*n**4 - 114*n**3 + 372*n**2 - 456*n + 192 = 0?
-8, 1, 2
Factor 2*n**3/9 - 406*n**2/3 + 82418*n/3 - 16730854/9.
2*(n - 203)**3/9
Suppose -5*j**3 - 85*j**2 - 220*j - 140 = 0. Calculate j.
-14, -2, -1
Let -2*r**2/13 - 2052*r/13 - 2050/13 = 0. Calculate r.
-1025, -1
Factor 3*x**3/2 - 3*x/2.
3*x*(x - 1)*(x + 1)/2
Find p, given that 2*p**5/3 - 8*p**4/3 - 16*p**3/3 + 28*p**2/3 + 14*p/3 - 20/3 = 0.
-2, -1, 1, 5
Factor 2*d**4 - 12*d**3 - 286*d**2 - 528*d - 256.
2*(d - 16)*(d + 1)**2*(d + 8)
Factor -2*t**4/5 - 2*t**3 + 16*t**2/5 + 24*t/5.
-2*t*(t - 2)*(t + 1)*(t + 6)/5
Factor z**5 - z**4 - 8*z**3 + 8*z**2 + 16*z - 16.
(z - 2)**2*(z - 1)*(z + 2)**2
Determine m so that 6*m**2/5 + 7022*m/15 + 52 = 0.
-390, -1/9
Determine z so that -5*z**5/2 + 485*z**4/2 - 10995*z**3/2 - 37985*z**2/2 + 5500*z + 18750 = 0.
-3, -1, 1, 50
Find x such that -3*x**2 - 1134*x - 107163 = 0.
-189
Suppose -3*p**2 + 147*p + 810 = 0. What is p?
-5, 54
Factor i**3 + 60*i**2 + 59*i.
i*(i + 1)*(i + 59)
Factor 5*z**2 + 185*z + 510.
5*(z + 3)*(z + 34)
Factor -102*i**2/5 + 4*i/5.
-2*i*(51*i - 2)/5
Factor 9*h**4/5 - 3*h**3 + 6*h**2/5.
3*h**2*(h - 1)*(3*h - 2)/5
Factor -3*u**3 + 27*u**2 - 33*u - 63.
-3*(u - 7)*(u - 3)*(u + 1)
Determine i, given that -27*i**4 + 18*i**3 + 105*