2 = 0. Calculate v.
-1579, -1
Determine l so that 2*l**2/3 - 274*l/3 + 1820/3 = 0.
7, 130
Factor -a**2/2 - 3*a/2 + 2.
-(a - 1)*(a + 4)/2
Factor 4*p**3 + 460*p**2 - 1416*p.
4*p*(p - 3)*(p + 118)
Find x such that 19*x**4/9 + 7*x**3/3 - 473*x**2/9 - 175*x/3 - 50/9 = 0.
-5, -1, -2/19, 5
Suppose x**3 + 18*x**2 + 33*x + 16 = 0. What is x?
-16, -1
Find s, given that -4*s**2/7 + 992*s/7 - 61504/7 = 0.
124
Find p, given that -p**4 - p**3 + p**2 + p = 0.
-1, 0, 1
Factor 5*y**2 + 85*y - 840.
5*(y - 7)*(y + 24)
Determine b so that 3*b**3/5 - 609*b**2/5 - 618*b/5 + 1224/5 = 0.
-2, 1, 204
Factor -2*w**3/7 + 24*w**2/7 + 30*w/7 - 52/7.
-2*(w - 13)*(w - 1)*(w + 2)/7
Let 2*o**4 - 934*o**3 + 109510*o**2 - 108578*o = 0. Calculate o.
0, 1, 233
Find f, given that 196*f**5/3 + 16744*f**4/3 + 86228*f**3/3 + 87728*f**2/3 - 24272*f + 3840 = 0.
-80, -3, 2/7
Factor 5*z**3/2 + 1485*z**2 - 12000*z + 24080.
5*(z - 4)**2*(z + 602)/2
Let 4*r**2 + 216*r - 220 = 0. What is r?
-55, 1
Factor 3*o**3/2 - 99*o**2/2 + 432*o - 384.
3*(o - 16)**2*(o - 1)/2
Factor 16*b**3/7 - 236*b**2/7 + 24*b.
4*b*(b - 14)*(4*b - 3)/7
Factor 4*d**3 - 124*d**2 - 128*d.
4*d*(d - 32)*(d + 1)
Find g, given that 10*g**3/11 - 54*g**2/11 + 60*g/11 - 16/11 = 0.
2/5, 1, 4
Let -2*l**3/7 - 36*l**2 - 4050*l/7 - 17496/7 = 0. Calculate l.
-108, -9
Suppose 5*h**3 - 40*h**2 + 65*h - 30 = 0. What is h?
1, 6
Let 3*i**3/4 - 213*i**2/2 + 15939*i/4 - 14283 = 0. Calculate i.
4, 69
Factor m**3 - 294*m**2 + 8145*m - 59400.
(m - 264)*(m - 15)**2
Factor 4*k**3/11 + 107*k**2/11 + 63*k - 180/11.
(k + 12)*(k + 15)*(4*k - 1)/11
Factor -u**3/5 - 2*u**2/5 + 36*u/5 + 72/5.
-(u - 6)*(u + 2)*(u + 6)/5
Factor 4*y**3 - 108*y + 216.
4*(y - 3)**2*(y + 6)
Find q, given that -2*q**5 + 10*q**4 - 10*q**3 - 10*q**2 + 12*q = 0.
-1, 0, 1, 2, 3
Let -2*k**5 + 52*k**4 + 366*k**3 + 584*k**2 - 232*k - 768 = 0. Calculate k.
-3, -2, 1, 32
Let z**5 + 34*z**4 + 286*z**3 - 100*z**2 - 799*z + 578 = 0. What is z?
-17, -2, 1
Suppose c**3 + 77*c**2/4 + 123*c + 261 = 0. What is c?
-29/4, -6
Solve 14*o**2 + 136*o - 40 = 0 for o.
-10, 2/7
Let 3*t**3/2 + 273*t**2/2 - 1164*t + 2376 = 0. What is t?
-99, 4
What is f in -5*f**3/2 - 125*f**2/2 - 55*f + 120 = 0?
-24, -2, 1
Find x such that -x**3/5 + x**2/5 + x + 3/5 = 0.
-1, 3
Factor -m**2/4 - 2961*m/2 - 8767521/4.
-(m + 2961)**2/4
What is s in 6*s**4/7 - 90*s**3/7 + 276*s**2/7 + 576*s/7 - 768/7 = 0?
-2, 1, 8
Find o, given that -2*o**3 + 4*o**2 + 8*o - 16 = 0.
-2, 2
Find b such that 2*b**4/13 - 108*b**3/13 + 504*b**2/13 - 692*b/13 + 294/13 = 0.
1, 3, 49
Suppose -f**4/2 + 49*f**3 - 377*f**2/2 + 44*f + 282 = 0. What is f?
-1, 2, 3, 94
Let 3*v**5 + 21*v**4 + 54*v**3 + 66*v**2 + 39*v + 9 = 0. Calculate v.
-3, -1
Find k, given that -7*k**3/2 + k**2/3 + 7*k/2 - 1/3 = 0.
-1, 2/21, 1
Factor -2*z**2/5 - 188*z/5 - 368/5.
-2*(z + 2)*(z + 92)/5
Solve -3*y**3/4 - 1011*y**2/4 + 507*y/2 = 0.
-338, 0, 1
Factor -2*k**4/7 + 340*k**3/7.
-2*k**3*(k - 170)/7
Factor -3*m**2/5 + 33*m/5.
-3*m*(m - 11)/5
Factor -7*m**2 - 184*m - 52.
-(m + 26)*(7*m + 2)
Determine i, given that -3*i**3 + 3615*i**2 - 3606*i - 7224 = 0.
-1, 2, 1204
Factor 6*l**3 - 40*l**2 + 42*l + 88.
2*(l - 4)*(l + 1)*(3*l - 11)
Factor -5*o**2 - 3150*o + 22295.
-5*(o - 7)*(o + 637)
Suppose -3*u**5/7 - 18*u**4/7 + 9*u**3/7 + 60*u**2/7 + 36*u/7 = 0. What is u?
-6, -1, 0, 2
Solve i**2 - 45*i = 0 for i.
0, 45
Determine x so that -3*x**3/5 + 48*x**2 - 471*x/5 + 234/5 = 0.
1, 78
Factor 3*f**4 - 105*f**3 + 858*f**2 + 1188*f - 1944.
3*(f - 18)**2*(f - 1)*(f + 2)
Factor -k**3 - 18*k**2 - 33*k - 16.
-(k + 1)**2*(k + 16)
Find k, given that -k**4 + 44*k**3 - 38*k**2 - 212*k - 129 = 0.
-1, 3, 43
Factor 5*k**2 - 9790*k + 4792205.
5*(k - 979)**2
Suppose -15*m**3 - 246*m**2 - 96*m = 0. What is m?
-16, -2/5, 0
What is z in 2*z**5 + 24*z**4 + 18*z**3 - 44*z**2 = 0?
-11, -2, 0, 1
Factor -2*q**4 + 14*q**3 - 28*q**2 + 16*q.
-2*q*(q - 4)*(q - 2)*(q - 1)
Suppose -r**3/4 + 31*r**2/4 + 45*r = 0. What is r?
-5, 0, 36
Suppose 268*z**3 + 2452*z**2/5 - 464*z/5 - 16/5 = 0. What is z?
-2, -2/67, 1/5
Factor 2*d**4/7 - 32*d**3/7 + 58*d**2/7 - 4*d.
2*d*(d - 14)*(d - 1)**2/7
Factor z**2 - 1842*z.
z*(z - 1842)
Let c**3 - 813*c**2 + 220323*c - 19902511 = 0. What is c?
271
Suppose -2*h**2/9 - 10772*h/9 - 14504498/9 = 0. What is h?
-2693
Factor -2*y**4/3 - 2*y**3/3 + 6*y**2 + 6*y.
-2*y*(y - 3)*(y + 1)*(y + 3)/3
Solve -20*l**3 - 28*l**2 - 8*l = 0.
-1, -2/5, 0
Suppose 4*j**2 - 1200*j - 3636 = 0. Calculate j.
-3, 303
Let 3*v**2 - 93*v - 1080 = 0. What is v?
-9, 40
Factor -a**3 - 9*a**2 - 24*a - 20.
-(a + 2)**2*(a + 5)
Factor -3*z**5/4 + 51*z**4/2 - 195*z**3/4 + 24*z**2.
-3*z**2*(z - 32)*(z - 1)**2/4
Suppose 2*a**5/7 + 22*a**4/7 + 92*a**3/7 + 184*a**2/7 + 176*a/7 + 64/7 = 0. What is a?
-4, -2, -1
Let 2*a**5 - 26*a**4 + 114*a**3 - 190*a**2 + 100*a = 0. What is a?
0, 1, 2, 5
Suppose -2*a**4/21 - 6*a**3/7 + 4*a**2/3 + 24*a/7 - 80/21 = 0. What is a?
-10, -2, 1, 2
Determine y so that -5*y**2 - 130*y + 135 = 0.
-27, 1
Determine j so that 16*j**4 + 32*j**3 - 204*j**2 + 172*j - 40 = 0.
-5, 1/2, 2
Let -2*m**2/3 - m + 3 = 0. What is m?
-3, 3/2
Solve g**3/7 + 60*g**2/7 - 61*g/7 = 0.
-61, 0, 1
Let 2*k**4 + 30*k**3 - 102*k**2 + 106*k - 36 = 0. What is k?
-18, 1
Solve -4*m**4/7 - 4*m**3/7 + 52*m**2/7 + 100*m/7 + 48/7 = 0.
-3, -1, 4
Factor s**3/5 + 7*s**2/5 - 2*s - 16/5.
(s - 2)*(s + 1)*(s + 8)/5
Determine y so that -y**3/3 + 16*y**2/3 + 140*y/3 - 784 = 0.
-12, 14
Determine c so that -18*c**3/13 + 50*c**2/13 + 516*c/13 + 112/13 = 0.
-4, -2/9, 7
Solve -3*o**3 - 150*o**2 - 291*o - 144 = 0 for o.
-48, -1
Factor 3*i**3 + 2586*i**2 + 2583*i.
3*i*(i + 1)*(i + 861)
Factor -x**3/3 + x**2 - 4/3.
-(x - 2)**2*(x + 1)/3
Find x such that -8*x**2/9 - 302*x/9 + 130/3 = 0.
-39, 5/4
Factor -3*y**3 - 627*y**2 - 31137*y + 171735.
-3*(y - 5)*(y + 107)**2
Find q such that 5*q**4 - 14330*q**3 + 10267445*q**2 = 0.
0, 1433
Factor i**2/2 + 1874*i + 1755938.
(i + 1874)**2/2
Factor -2*l**3/7 + 68*l**2/7 + 640*l/7 + 192.
-2*(l - 42)*(l + 4)**2/7
Factor -2*g**2 - 1360*g - 231200.
-2*(g + 340)**2
Factor n**2/2 - 1421*n/2 - 711.
(n - 1422)*(n + 1)/2
Find s, given that -2*s**2 - 2*s = 0.
-1, 0
Determine d, given that -2*d**4/11 + 1380*d**3/11 - 21766*d**2 + 474720*d/11 - 236672/11 = 0.
1, 344
Factor -2*i**2 - 50*i + 372.
-2*(i - 6)*(i + 31)
Factor -4*x**4 + 12*x**2 - 8*x.
-4*x*(x - 1)**2*(x + 2)
Factor -4*h**3 - 216*h**2 - 3888*h - 23328.
-4*(h + 18)**3
Factor -5*o**3 + 150*o**2 - 1440*o + 4320.
-5*(o - 12)**2*(o - 6)
What is o in -2*o**2/9 + 2*o/9 + 20 = 0?
-9, 10
Determine a so that -14*a**4/3 - 74*a**3/3 - 104*a**2/3 - 8*a = 0.
-3, -2, -2/7, 0
Factor 3*c**3/5 - 171*c**2/5 - 351*c/5 - 177/5.
3*(c - 59)*(c + 1)**2/5
Solve -2*i**5/11 - 6*i**4/11 + 50*i**3/11 + 166*i**2/11 - 48*i/11 - 160/11 = 0 for i.
-4, -1, 1, 5
Determine i, given that 2*i**4 + 36*i**3/5 - 136*i**2/5 + 48*i/5 = 0.
-6, 0, 2/5, 2
Solve -2*h**5/5 + 48*h**4/5 - 194*h**3/5 - 516*h**2/5 + 392*h + 720 = 0.
-2, 5, 18
Determine t so that 2*t**5 + 22*t**4/3 + 22*t**3/3 + 2*t**2/3 - 4*t/3 = 0.
-2, -1, 0, 1/3
Determine l, given that 5*l**3 + 250*l**2 + 1365*l + 1980 = 0.
-44, -3
Suppose -4*o**4 - 6340*o**3 - 6332*o**2 + 6340*o + 6336 = 0. What is o?
-1584, -1, 1
What is h in -150*h**3 - 700*h**2 + 254*h + 20 = 0?
-5, -1/15, 2/5
Factor 2*k**4 - 10*k**3 + 6*k**2 + 10*k - 8.
2*(k - 4)*(k - 1)**2*(k + 1)
Factor -3*v**2 - 42*v - 72.
-3*(v + 2)*(v + 12)
Suppose y**4 - 243*y**3 + 14640*y**2 + 14884*y = 0. Calculate y.
-1, 0, 122
Find y, given that 32*y**3 + 30*y**2 - 2*y = 0.
-1, 0, 1/16
Factor 8*l**2/7 - 2552*l/7 + 203522/7.
2*(2*l - 319)**2/7
Factor 4*f**2 - 3852*f + 11520.
4*(f - 960)*(f - 3)
Determine f, given that 2*f**4/3 - 80*f**3/3 - 254*f**2/3 - 172*f/3 = 0.
-2, -1, 0, 43
Determine p so that -p**4/5 - p**3/5 + p**2/5 + p/5 = 0.
-1, 0, 1
Solve 3*q**4/5 + 33*q**3/5 + 78*q**2/5 + 48*q/5 = 0.
-8, -2, -1, 0
Solve -17*w**5/7 + 240*w**4/7 - 793*w**3/7 + 974*w**2/7 - 444*w/7 + 40/7 = 0 for w.
2/17, 1, 2, 10
Factor -m**5 - 4*m**4 + 7*m**3 + 34*m**2 - 12*m - 72.
-(m - 2)**2*(m + 2)*(m + 3)**2
Factor -2*j**3 + 102*j**2 + 432*j + 440.
-2*(j - 55)*(j + 2)**2
Determine n so that 8*n**2 - 294*n + 216 = 0.
3/4, 36
Factor -2*g**3/3 - 82*g**2/3.
-2*g**2*(g + 41)/3
Determine x, given that 4*x**2 + 1100*x + 7504 = 0.
-268, -7