(a - 3)*(19*a + 2)
Factor -a**4 + 21*a**3 - 83*a**2 - 105*a.
-a*(a - 15)*(a - 7)*(a + 1)
Determine a, given that -6*a**3 + 560*a**2 - 12878*a - 8836 = 0.
-2/3, 47
Let -6*s**3/11 - 8*s**2/11 + 250*s/11 + 84/11 = 0. Calculate s.
-7, -1/3, 6
Let -2*a**5 + 18*a**4 - 44*a**3 + 12*a**2 + 46*a - 30 = 0. Calculate a.
-1, 1, 3, 5
Factor 2*k**3/13 - 892*k**2/13 + 98560*k/13 + 200704/13.
2*(k - 224)**2*(k + 2)/13
Factor 4*g**4 + 80*g**3 - 84*g**2.
4*g**2*(g - 1)*(g + 21)
Determine m, given that -4*m**5 + 139*m**4 - 1065*m**3 - 415*m**2 + 1069*m + 276 = 0.
-1, -1/4, 1, 12, 23
Factor -2*o**3/3 + 4516*o**2/3 + 9038*o/3 + 4520/3.
-2*(o - 2260)*(o + 1)**2/3
Factor 20577*r**3 - 84474*r**2 + 115596*r - 52728.
3*(19*r - 26)**3
Factor r**2/5 - r/5 - 56/5.
(r - 8)*(r + 7)/5
Factor -o**3/7 - 36*o**2/7 + 37*o/7.
-o*(o - 1)*(o + 37)/7
What is y in 4*y**5/3 - 28*y**4 + 296*y**3/3 + 1224*y**2 - 8100*y + 6804 = 0?
-7, 1, 9
Solve 9*j**5 - 34*j**4 - 152*j**3 + 544*j**2 + 128*j = 0.
-4, -2/9, 0, 4
Solve 968*p**2/5 + 88*p/5 + 2/5 = 0 for p.
-1/22
Factor 4*j**4 + 212*j**3 - 4*j**2 - 212*j.
4*j*(j - 1)*(j + 1)*(j + 53)
Factor 4*d**4 - 216*d**3 - 224*d**2 + 216*d + 220.
4*(d - 55)*(d - 1)*(d + 1)**2
Factor -2*b**3 + 176*b**2 + 178*b.
-2*b*(b - 89)*(b + 1)
Factor q**2/4 - 21*q/2.
q*(q - 42)/4
Suppose -v**4/3 - 16*v**3/3 - 52*v**2/3 - 16*v = 0. What is v?
-12, -2, 0
Find r, given that r**3/3 + 25*r**2 - 104*r + 316/3 = 0.
-79, 2
Solve 3*s**5/2 - s**4 - 7*s**3/2 - s**2 = 0 for s.
-1, -1/3, 0, 2
Find f such that 9*f**5 + 92*f**4 + 317*f**3 + 426*f**2 + 224*f + 32 = 0.
-4, -1, -2/9
Factor 4*c**3 - 472*c**2 + 14820*c - 51984.
4*(c - 57)**2*(c - 4)
What is q in 4*q**2 + 2456*q + 376996 = 0?
-307
Find t such that -t**5/6 - 31*t**4/6 - 140*t**3/3 - 292*t**2/3 + 56*t/3 + 392/3 = 0.
-14, -2, 1
Let -g**4/2 + 19*g**3/2 + 35*g**2 - 44*g = 0. What is g?
-4, 0, 1, 22
Factor -2*b**2/7 - 16*b/7 + 24.
-2*(b - 6)*(b + 14)/7
Suppose 2*w**3/15 - 82*w**2/15 + 76*w/15 + 32/3 = 0. What is w?
-1, 2, 40
Find m such that -2*m**3/9 - 86*m**2/9 + 2*m/9 + 86/9 = 0.
-43, -1, 1
Factor 5*a**4 + 14*a**3 - 67*a**2 - 240*a - 144.
(a - 4)*(a + 3)**2*(5*a + 4)
Factor 2*f**2/9 - 8*f/3 - 26/9.
2*(f - 13)*(f + 1)/9
Factor 2*r**2 + 16*r + 30.
2*(r + 3)*(r + 5)
Factor u**2/8 + 17*u/8.
u*(u + 17)/8
Factor 2*o**5/3 - 14*o**4/3 + 32*o**3/3 - 16*o**2/3 - 32*o/3 + 32/3.
2*(o - 2)**4*(o + 1)/3
Factor n**4 - 24*n**3 - 112*n**2.
n**2*(n - 28)*(n + 4)
Determine i so that -2*i**2/7 - 426*i/7 = 0.
-213, 0
Factor -2*l**3 + 50*l**2 - 188*l - 240.
-2*(l - 20)*(l - 6)*(l + 1)
Solve -140*d**4 - 275*d**3 + 440*d**2 + 5*d - 30 = 0 for d.
-3, -1/4, 2/7, 1
Factor -2*c**3/7 + 1858*c**2/7 + 3722*c/7 + 266.
-2*(c - 931)*(c + 1)**2/7
What is j in 15*j**3 - 966*j**2 + 2253*j - 1302 = 0?
1, 7/5, 62
Factor 5*p**3 - 220*p**2 + 2185*p + 5290.
5*(p - 23)**2*(p + 2)
Determine a so that a**2 + 425*a + 424 = 0.
-424, -1
Solve 9*m**4/5 + 699*m**3/5 + 442*m**2/5 - 1532*m/5 + 616/5 = 0 for m.
-77, -2, 2/3
Find u, given that 16*u**4 - 5796*u**3 + 525624*u**2 - 131044*u = 0.
0, 1/4, 181
Determine y so that 4*y**2 - 20*y + 16 = 0.
1, 4
Find t, given that 18*t**4 + 450*t**3 + 2578*t**2 - 2938*t + 676 = 0.
-13, 1/3, 2/3
Factor -k**4/4 - 2069*k**3 - 12842283*k**2/2 - 8856894509*k - 18324914739121/4.
-(k + 2069)**4/4
What is l in 2*l**3/17 + 466*l**2/17 + 27376*l/17 + 26912/17 = 0?
-116, -1
Find b, given that b**3/2 - 33*b**2/2 + 115*b - 168 = 0.
2, 7, 24
Solve 3*o**3/2 + 15*o**2/2 - 21*o = 0 for o.
-7, 0, 2
Factor k**5/2 - 13*k**4 + 36*k**3 - 35*k**2 + 23*k/2.
k*(k - 23)*(k - 1)**3/2
Find b such that -2*b**4 + 7*b**3 - 3*b**2 = 0.
0, 1/2, 3
Determine u so that 2*u**2 + 68*u + 578 = 0.
-17
Factor 12*g**3/13 - 2*g**2/13 - 32*g/13 + 22/13.
2*(g - 1)**2*(6*g + 11)/13
Determine v, given that -18*v**5/13 - 108*v**4/13 - 10*v**3 + 88*v**2/13 + 136*v/13 + 32/13 = 0.
-4, -2, -2/3, -1/3, 1
Factor 3*z**2/8 - 95*z/8 + 31/4.
(z - 31)*(3*z - 2)/8
Factor -4*y**5 - 1928*y**4 - 234240*y**3 - 460800*y**2.
-4*y**2*(y + 2)*(y + 240)**2
Factor -i**4/2 - 61*i**3/2 + 31*i**2.
-i**2*(i - 1)*(i + 62)/2
Factor 100*w**5 - 39120*w**4 - 31344*w**3 - 6272*w**2.
4*w**2*(w - 392)*(5*w + 2)**2
Solve -2*a**3 - 68*a**2 + 382*a - 312 = 0.
-39, 1, 4
Factor -3*q**5 - 336*q**4 - 1944*q**3 - 3840*q**2 - 2544*q.
-3*q*(q + 2)**3*(q + 106)
Factor 5*k**3 - 40*k**2 - 5*k + 40.
5*(k - 8)*(k - 1)*(k + 1)
Suppose 2*n**5/15 - 42*n**4/5 - 566*n**3/5 - 7474*n**2/15 - 4368*n/5 - 480 = 0. Calculate n.
-4, -3, -1, 75
Find m, given that -5*m**3 + 10*m**2 + 5*m - 10 = 0.
-1, 1, 2
Let 2*b**5/17 + 20*b**4/17 + 24*b**3/17 - 144*b**2/17 = 0. Calculate b.
-6, 0, 2
Solve -i**4/5 + 54*i**3/5 - 781*i**2/5 + 1404*i/5 - 676/5 = 0.
1, 26
Suppose -2*t**5/9 - 14*t**4/9 - 20*t**3/9 = 0. What is t?
-5, -2, 0
Factor 2*f**2/15 + 342*f/5 - 1028/15.
2*(f - 1)*(f + 514)/15
Find l such that 2*l**5/7 + 8*l**4/7 + 2*l**3/7 - 12*l**2/7 = 0.
-3, -2, 0, 1
Factor -s**3/3 - 14*s**2/3 - 49*s/3 - 12.
-(s + 1)*(s + 4)*(s + 9)/3
Suppose -5*i**2 - 1340*i - 1335 = 0. What is i?
-267, -1
Suppose -p**2 + 138*p - 137 = 0. Calculate p.
1, 137
Determine w so that 2*w**2/3 - 44*w/3 - 112 = 0.
-6, 28
Let -3*f**5 + 630*f**4 - 624*f**3 - 630*f**2 + 627*f = 0. Calculate f.
-1, 0, 1, 209
Determine c so that -2*c**4/13 + 8*c**3/13 + 14*c**2/13 - 20*c/13 = 0.
-2, 0, 1, 5
Factor 2*y**2/7 + 144*y/7 - 296/7.
2*(y - 2)*(y + 74)/7
What is o in -5*o**5 + 65*o**3 + 80*o**2 - 60*o - 80 = 0?
-2, -1, 1, 4
Solve g**3/9 + 14*g**2/9 - 17*g/9 - 10/3 = 0 for g.
-15, -1, 2
Let 4*y**5 - 116*y**4 + 492*y**3 + 1348*y**2 + 736*y = 0. What is y?
-1, 0, 8, 23
Solve -3*q**3/4 - 17*q**2 + 67*q + 52 = 0 for q.
-26, -2/3, 4
Determine n so that 5*n**4 + 73*n**3 - 110*n**2 + 32*n = 0.
-16, 0, 2/5, 1
Determine g, given that -5*g**3 - 20*g**2 + 105*g = 0.
-7, 0, 3
Factor 5*l**5 - 1735*l**4 + 3455*l**3 - 1725*l**2.
5*l**2*(l - 345)*(l - 1)**2
What is j in -j**4/3 + 4*j**3 + 139*j**2/3 + 134*j + 120 = 0?
-3, -2, 20
Factor 2*k**4 + 80*k**3 - 2*k**2 - 80*k.
2*k*(k - 1)*(k + 1)*(k + 40)
Factor -3*g**3 - 2001*g**2 + 8040*g - 8052.
-3*(g - 2)**2*(g + 671)
Factor a**3/3 - 70*a**2/3 - 73*a/3 + 142/3.
(a - 71)*(a - 1)*(a + 2)/3
Factor l**5/4 - l**4/4 - 4*l**3 + 4*l**2.
l**2*(l - 4)*(l - 1)*(l + 4)/4
Determine p so that 5*p**4 + 78*p**3 + 333*p**2 + 304*p - 180 = 0.
-9, -5, -2, 2/5
Solve -3*p**3/2 - 9*p**2/2 + 42*p + 90 = 0 for p.
-6, -2, 5
Factor -8*t**4/17 - 30*t**3/17 - 42*t**2/17 - 26*t/17 - 6/17.
-2*(t + 1)**3*(4*t + 3)/17
Suppose -5*w**3 + 295*w**2 - 4760*w + 11760 = 0. Calculate w.
3, 28
Determine n so that 8*n**3 + 900*n**2 + 444*n - 448 = 0.
-112, -1, 1/2
What is c in c**2/5 - 23*c/5 = 0?
0, 23
Suppose -3*a**2 - 48*a + 51 = 0. What is a?
-17, 1
Factor -3*g**2 - 60*g.
-3*g*(g + 20)
Factor 13*j**3/2 + j**2/2 - 19*j + 12.
(j - 1)*(j + 2)*(13*j - 12)/2
Factor -3*f**5/4 - 213*f**4/4 - 105*f**3/2.
-3*f**3*(f + 1)*(f + 70)/4
Factor u**3 - 10*u**2 - 23*u - 12.
(u - 12)*(u + 1)**2
Factor -5*b**2 - 1975*b + 1980.
-5*(b - 1)*(b + 396)
Factor -3*f**4/4 - 90*f**3 - 4050*f**2 - 81000*f - 607500.
-3*(f + 30)**4/4
Factor -u**3/4 - 2*u**2 + 15*u/4 + 27/2.
-(u - 3)*(u + 2)*(u + 9)/4
Factor 2*v**3/9 + 244*v**2/9 + 2560*v/3 + 1600.
2*(v + 2)*(v + 60)**2/9
Factor 2*w**4 - 56*w**3 + 98*w**2 + 156*w.
2*w*(w - 26)*(w - 3)*(w + 1)
Let 5*h**5/4 - 215*h**4/4 - 3465*h**3/4 - 10045*h**2/4 + 3430*h = 0. Calculate h.
-7, 0, 1, 56
Factor -p**4/2 - 3*p**3/2 + 15*p**2/2 - 17*p/2 + 3.
-(p - 1)**3*(p + 6)/2
Find u such that -5*u**4/2 + 9*u**3 - 6*u**2 - 4*u = 0.
-2/5, 0, 2
Determine j so that 2*j**2 - 2264*j + 2262 = 0.
1, 1131
Factor a**4 - a**3 - a**2 + a.
a*(a - 1)**2*(a + 1)
Suppose -12*g**2 - 231*g + 180 = 0. Calculate g.
-20, 3/4
Solve -4*n**2/7 + 16*n/7 = 0 for n.
0, 4
Factor t**2/2 - 171*t + 1685/2.
(t - 337)*(t - 5)/2
Factor -18*c**2 - 4209*c - 3495.
-3*(c + 233)*(6*c + 5)
Factor -3*y**3 + 867*y**2 - 62205*y - 63075.
-3*(y - 145)**2*(y + 1)
Determine k so that -15*k**5 - 24*k**4 + 72*k**3 + 6*k**2 - 57*k + 18 = 0.
-3, -1, 2/5, 1
Let 6555125*v**2 + 68700*v + 180 = 0. What is v?
-6/1145
What is r in -4*r**4 + 76*r**3 - 360*r**2 + 656*r - 416 = 0?
2, 13
Let -l**2 - 477*l - 950 = 0. Calculate l.
-475, -2
Factor g**2 + 536*g - 1076.
(g - 2)*(g + 538)
Factor 3*j**2/8 + 303*j.
3*j*(j + 808)/8
Suppose 3*g**2 - 33*g + 90 = 