late m.
-2, 2
Suppose 3*u**3/8 + 288*u**2 + 55296*u = 0. Calculate u.
-384, 0
Factor r**2/8 - 28*r + 1568.
(r - 112)**2/8
Factor -2*p**3 - 48*p**2 - 384*p - 1024.
-2*(p + 8)**3
Determine i, given that i**5/5 - i**4 + 6*i**3/5 + 4*i**2/5 - 8*i/5 = 0.
-1, 0, 2
Find v such that 4*v**4 - 72*v**3 + 324*v**2 = 0.
0, 9
Factor t**2 - 570*t + 569.
(t - 569)*(t - 1)
Let 2*a**4 + 16*a**3 - 52*a**2 - 336*a + 882 = 0. Calculate a.
-7, 3
Determine u, given that -2*u**2/11 + 54*u/11 - 184/11 = 0.
4, 23
Suppose -2*z**3/7 + 4*z**2/7 = 0. What is z?
0, 2
Suppose 3*g**3/5 - 39*g**2/5 + 93*g/5 + 27 = 0. Calculate g.
-1, 5, 9
Find r, given that 20*r**4 + 10312*r**3 - 4148*r**2 - 10312*r + 4128 = 0.
-516, -1, 2/5, 1
Factor -v**3/6 + v**2/6 + 8*v/3 + 10/3.
-(v - 5)*(v + 2)**2/6
Factor s**4/2 - s**3/2 - 3*s**2 + 2*s + 4.
(s - 2)**2*(s + 1)*(s + 2)/2
Factor -12*t**4 + 172*t**3 + 120*t**2.
-4*t**2*(t - 15)*(3*t + 2)
Solve -5*r**4 - 380*r**3 - 7590*r**2 - 14060*r - 6845 = 0 for r.
-37, -1
Determine c, given that -c**3 + 538*c**2 - 537*c = 0.
0, 1, 537
Factor s**4/5 - 11*s**3/5 + 18*s**2/5.
s**2*(s - 9)*(s - 2)/5
Let -3*o**2/2 - 171*o - 9747/2 = 0. Calculate o.
-57
Factor -4*l**2 + 4000*l - 11964.
-4*(l - 997)*(l - 3)
Factor -5*o**3 + 4860*o**2 + 5*o - 4860.
-5*(o - 972)*(o - 1)*(o + 1)
Factor 3*u**3 - 168*u**2 - 3*u + 168.
3*(u - 56)*(u - 1)*(u + 1)
Let -2*g**4 - 68*g**3 + 296*g**2 - 304*g = 0. What is g?
-38, 0, 2
What is g in -g**4/2 + 4*g**3 - 11*g**2 + 12*g - 9/2 = 0?
1, 3
What is g in -2*g**2/9 + 28*g/3 - 82/9 = 0?
1, 41
Factor 2*b**2/11 - 90*b/11 + 328/11.
2*(b - 41)*(b - 4)/11
Factor 4*c**2/5 - 2344*c/5 + 16212/5.
4*(c - 579)*(c - 7)/5
Solve 3*t**3/7 - 377*t**2/7 + 249*t/7 + 125/7 = 0.
-1/3, 1, 125
Suppose 2*f**3/7 - 226*f**2/7 + 928*f - 896 = 0. What is f?
1, 56
Suppose -k**3/3 - 13*k**2 - 153*k - 1445/3 = 0. Calculate k.
-17, -5
Factor 21*i**2 - 45*i + 6.
3*(i - 2)*(7*i - 1)
Factor l**2/3 - 14*l/3.
l*(l - 14)/3
Factor -4*m**3/7 + 420*m**2 - 538752*m/7 - 541696/7.
-4*(m - 368)**2*(m + 1)/7
Factor 2*z**2/15 + 938*z/15 + 928/3.
2*(z + 5)*(z + 464)/15
Find l, given that -5*l**4 + 30*l**3 - 25*l**2 = 0.
0, 1, 5
Factor -3*y**3/7 + 9*y**2/7 - 12/7.
-3*(y - 2)**2*(y + 1)/7
Let 3*t**5/8 - 21*t**4/2 + 9*t**3 + 123*t**2/4 - 75*t/8 - 81/4 = 0. What is t?
-1, 1, 2, 27
Determine b so that -442*b**3/9 + 5308*b**2/9 - 5320*b/3 + 16 = 0.
2/221, 6
Find d, given that -27*d**5 - 447*d**4 - 5143*d**3/3 - 1967*d**2/3 + 1696*d/3 - 220/3 = 0.
-11, -5, -1, 2/9
Suppose 5*u**2 + 2395*u + 2390 = 0. Calculate u.
-478, -1
Factor -5*r**4 + 2260*r**3 - 4505*r**2 + 2250*r.
-5*r*(r - 450)*(r - 1)**2
Suppose -3*r**3/2 - 87*r**2/2 - 645*r/2 - 1425/2 = 0. What is r?
-19, -5
Factor 3*n**4/4 + 153*n**3/2 - 1755*n**2 + 9150*n.
3*n*(n - 10)**2*(n + 122)/4
Determine u, given that 35*u**3 - 100*u**2 - 45*u + 90 = 0.
-1, 6/7, 3
Determine r, given that -2*r**2/3 + 36*r - 486 = 0.
27
Let -2*y**2/17 + 1480*y/17 - 273800/17 = 0. Calculate y.
370
Determine n so that 5*n**4 - 80*n**3 - 90*n**2 + 80*n + 85 = 0.
-1, 1, 17
Suppose 25*b**3 - 54*b**2 + 33*b - 4 = 0. Calculate b.
4/25, 1
What is q in -18*q**5/7 - 6*q**4/7 + 10*q**3/7 - 2*q**2/7 = 0?
-1, 0, 1/3
Factor -5*t**2 + 20.
-5*(t - 2)*(t + 2)
Factor -5*r**3 - 295*r**2 + 2600*r - 5360.
-5*(r - 4)**2*(r + 67)
Let v**2 - 1466*v - 1467 = 0. What is v?
-1, 1467
Let -2*b**4/3 + 22*b**3/3 - 52*b**2/3 + 32*b/3 = 0. Calculate b.
0, 1, 2, 8
Determine u so that 3*u**5 - 9*u**4 - 126*u**3 - 294*u**2 - 261*u - 81 = 0.
-3, -1, 9
Factor 4*t**4 + 28*t**3 - 144*t.
4*t*(t - 2)*(t + 3)*(t + 6)
Solve -j**3/6 + 307*j**2/6 - 305*j/3 = 0 for j.
0, 2, 305
Factor -l**3 - 14*l**2 - 39*l + 54.
-(l - 1)*(l + 6)*(l + 9)
Determine b so that b**3/4 + 13*b**2/2 + 111*b/4 + 63/2 = 0.
-21, -3, -2
Factor -f**2/3 + 488*f/3 - 59536/3.
-(f - 244)**2/3
Factor 2*u**3/5 - 6*u**2/5 - 18*u/5 - 2.
2*(u - 5)*(u + 1)**2/5
Find f such that -f**3/5 - 19*f**2/5 - 83*f/5 - 13 = 0.
-13, -5, -1
Factor -3*s**3 + 33*s**2 - 105*s + 75.
-3*(s - 5)**2*(s - 1)
Factor a**2/5 - 12*a/5 - 13/5.
(a - 13)*(a + 1)/5
Determine c so that 4*c**4 + 876*c**3/7 + 7640*c**2/7 + 21264*c/7 + 5472/7 = 0.
-19, -6, -2/7
Let -2*p**2 - 2180*p - 594050 = 0. What is p?
-545
What is f in f**2 - 478*f = 0?
0, 478
Let -5*a**5/2 + 17*a**4/3 + 11*a**3/6 - 7*a**2 + 2*a/3 + 4/3 = 0. Calculate a.
-1, -2/5, 2/3, 1, 2
Let -25*n**5 + 515*n**4 + 250*n**3 - 830*n**2 - 225*n + 315 = 0. What is n?
-1, 3/5, 1, 21
Factor 4*z**4/7 - 488*z**3 + 722452*z**2/7 + 418704*z + 2944656/7.
4*(z - 429)**2*(z + 2)**2/7
Let 1849*d**2/7 - 860*d/7 + 100/7 = 0. Calculate d.
10/43
Let k**2 + 11*k + 30 = 0. Calculate k.
-6, -5
Let -12*q**5 + 141*q**4 - 540*q**3 + 624*q**2 + 192*q = 0. Calculate q.
-1/4, 0, 4
What is d in -3*d**2/4 + 45*d + 3375/4 = 0?
-15, 75
Factor k**2 + 2178*k + 1185921.
(k + 1089)**2
Solve -2*n**4/11 + 32*n**3/11 - 40*n**2/11 - 800*n/11 = 0 for n.
-4, 0, 10
Factor -q**2 - 1597*q.
-q*(q + 1597)
Suppose 4*h**2 - 68*h + 240 = 0. What is h?
5, 12
Find w such that -5*w**2 - 430*w = 0.
-86, 0
Factor -w**2 + 294*w - 21609.
-(w - 147)**2
Factor s**4 + 9*s**3/4 - 15*s**2/2 - 2*s.
s*(s - 2)*(s + 4)*(4*s + 1)/4
Let m**3 + 13*m**2 + 32*m + 20 = 0. Calculate m.
-10, -2, -1
What is r in -49*r**5 + 126*r**4 + 283*r**3 + 8*r**2 - 84*r + 16 = 0?
-1, 2/7, 4
What is o in 4*o**5/9 + 20*o**4/9 + 8*o**3/9 - 32*o**2/9 = 0?
-4, -2, 0, 1
Find f such that 5*f**3 + 5*f**2 - 245*f - 245 = 0.
-7, -1, 7
Find r, given that -r**3/4 + 99*r**2/2 = 0.
0, 198
Determine t, given that -t**2/4 - 15*t/4 - 13/2 = 0.
-13, -2
Solve -25*n**3 - 390*n**2 + 1060*n - 360 = 0.
-18, 2/5, 2
Let 3*u**5/4 + 33*u**4/4 + 3*u**3 - 207*u**2 - 540*u = 0. What is u?
-6, -4, 0, 5
Solve 3*n**2 + 18*n - 216 = 0.
-12, 6
Factor 3*y**3 + 120*y**2 + 117*y.
3*y*(y + 1)*(y + 39)
Factor -k**3/2 + 2*k**2 + 7*k/2 - 5.
-(k - 5)*(k - 1)*(k + 2)/2
Solve 2*p**3/17 + 18*p**2/17 - 80*p/17 - 96/17 = 0.
-12, -1, 4
Determine h, given that 5*h**2 + 70*h = 0.
-14, 0
Factor 2*m**5 - 4*m**4 - 10*m**3 + 12*m**2.
2*m**2*(m - 3)*(m - 1)*(m + 2)
Solve r**5/11 + 5*r**4 + 608*r**3/11 - 4024*r**2/11 + 6960*r/11 - 3600/11 = 0 for r.
-30, 1, 2
Factor y**4/6 + 17*y**3/3 + 131*y**2/2 + 276*y + 216.
(y + 1)*(y + 9)*(y + 12)**2/6
Solve 4*q**3 - 16*q**2 - 4*q + 16 = 0 for q.
-1, 1, 4
Factor 5*v**3.
5*v**3
Solve v**2/6 + 52*v/3 = 0.
-104, 0
Find v, given that -3*v**3 - 13*v**2 + 29*v/3 - 5/3 = 0.
-5, 1/3
Factor -s**4 + 23*s**3 + 76*s**2 + 52*s.
-s*(s - 26)*(s + 1)*(s + 2)
Factor f**4/4 + 13*f**3/4 + 53*f**2/4 + 71*f/4 + 15/2.
(f + 1)**2*(f + 5)*(f + 6)/4
Factor c**4/2 + 53*c**3/2 - 303*c**2/2 - 761*c/2 - 203.
(c - 7)*(c + 1)**2*(c + 58)/2
Suppose 4*g**3 + 172*g**2 + 1608*g + 1440 = 0. What is g?
-30, -12, -1
Factor -2*m**2/7 + 2214*m/7 - 316.
-2*(m - 1106)*(m - 1)/7
Suppose 75*p**5 - 225*p**4 + 222*p**3 - 66*p**2 - 9*p + 3 = 0. Calculate p.
-1/5, 1/5, 1
Determine q so that -q**4/3 - 7*q**3/3 - q**2 + 21*q + 36 = 0.
-4, -3, 3
Factor 9*n**4 - 66*n**3 + 96*n**2 + 96*n.
3*n*(n - 4)**2*(3*n + 2)
Factor 4*l**2/3 - 64/3.
4*(l - 4)*(l + 4)/3
Factor -3*n**4/5 - 12*n**3 - 90*n**2 - 300*n - 375.
-3*(n + 5)**4/5
Determine q so that -7*q**2/5 - 2*q - 3/5 = 0.
-1, -3/7
Factor -5*b**3 - 45*b**2 - 70*b + 120.
-5*(b - 1)*(b + 4)*(b + 6)
Factor -m**4 - 15*m**3 + 51*m**2 - 53*m + 18.
-(m - 1)**3*(m + 18)
Factor -a**3/5 + 94*a**2/5 - 37*a + 92/5.
-(a - 92)*(a - 1)**2/5
Suppose -28*v**3 - 148*v**2 - 152*v - 32 = 0. What is v?
-4, -1, -2/7
Suppose 2*a**4/11 + 8*a**3/11 = 0. What is a?
-4, 0
Factor -r**2/4 - 11*r/4 + 3.
-(r - 1)*(r + 12)/4
Factor g**2/3 - 8*g/3 + 5.
(g - 5)*(g - 3)/3
Let -5*t**4/2 - 2235*t**3/2 - 333015*t**2/2 - 16539745*t/2 = 0. What is t?
-149, 0
Find g such that -60*g**2 + 125*g - 35 = 0.
1/3, 7/4
Determine m so that 36*m**5 - 84*m**4 - 152*m**3 + 272*m**2 - 96*m = 0.
-2, 0, 2/3, 3
Suppose 3*i**4/4 + 366*i**3 + 2187*i**2/2 + 1092*i + 1455/4 = 0. Calculate i.
-485, -1
Factor 36*f**3/7 - 570*f**2/7 + 1600*f/7 - 1250/7.
2*(2*f - 25)*(3*f - 5)**2/7
Factor -l**2/2 - 97*l/2 + 715.
-(l - 13)*(l + 110)/2
Factor -3*i**2 + 930*i - 72075.
-3*(i - 155)**2
Determine b, given that 4*b**5/3 + 8*b**4 + 13*b**3/3 - 11*b**2 + 10*b/3 = 0.
-5, -2, 0, 1/2
Let -3*l**5 + 91*l**4/2 + 183*l**3/2 + 69*l**2/2 - 17*l/2 = 0. What is l?
-1, 0, 1/6, 17
Solve 2*n**5/7 - 10*n**4/