5512*l**2 + 2132*l - 744 = 0. Calculate l.
-3/5, 2/9, 31
Factor -7*g**3/4 + 107*g**2/4 + 41*g/2 - 8.
-(g - 16)*(g + 1)*(7*g - 2)/4
Factor -4*g**2 + 88*g + 1280.
-4*(g - 32)*(g + 10)
Let 3*q**4 - 60*q**3 - 129*q**2 - 66*q = 0. Calculate q.
-1, 0, 22
Find x, given that 2*x**3 - 162*x**2 - 168*x + 328 = 0.
-2, 1, 82
Factor 4*o**2 + 336*o + 656.
4*(o + 2)*(o + 82)
What is a in -8*a**4 - 62*a**3 - 180*a**2 - 232*a - 112 = 0?
-2, -7/4
Find r, given that -r**3/5 + 11*r**2/5 + 5*r + 13/5 = 0.
-1, 13
Find z such that z**5/3 - 11*z**3/3 - 6*z**2 - 8*z/3 = 0.
-2, -1, 0, 4
Suppose -g**3/2 + 25*g**2 - 49*g/2 = 0. Calculate g.
0, 1, 49
What is u in -44*u**3 + 12*u**2 + 176*u - 48 = 0?
-2, 3/11, 2
Suppose r**5/5 - 8*r**4/5 - 7*r**3/5 + 10*r**2 + 48*r/5 = 0. What is r?
-2, -1, 0, 3, 8
What is j in -j**4 + 403*j**3 = 0?
0, 403
Factor 2*t**2 - 134*t + 2132.
2*(t - 41)*(t - 26)
Factor 2*f**2 - 48*f.
2*f*(f - 24)
Factor -c**3/2 + 34*c**2 + 139*c/2 + 35.
-(c - 70)*(c + 1)**2/2
Solve 11*z**5/10 + 241*z**4/10 + 1001*z**3/10 - 4053*z**2/10 - 2196*z/5 + 216/5 = 0.
-12, -1, 1/11, 3
Factor -x**4/2 - 16*x**3 + 240*x**2 - 1024*x + 1408.
-(x - 4)**3*(x + 44)/2
Determine m, given that 3*m**3/5 - 36*m**2/5 + 108*m/5 - 96/5 = 0.
2, 8
Factor -3*b**3 - 837*b**2 - 77841*b - 2413071.
-3*(b + 93)**3
Factor -j**3 + 108*j**2 + j - 108.
-(j - 108)*(j - 1)*(j + 1)
Suppose 10*k**4 - 215*k**3 + 1100*k**2 + 605*k = 0. Calculate k.
-1/2, 0, 11
What is c in -c**5/4 - 21*c**4/4 + 21*c**3/4 + 461*c**2/4 + 105*c = 0?
-21, -4, -1, 0, 5
Factor -5*w**2 - 1790*w - 160205.
-5*(w + 179)**2
Let 2*k**2/15 - 64*k/15 + 512/15 = 0. Calculate k.
16
Suppose 3*j**4 + 8*j**3 - 29*j**2 - 58*j - 24 = 0. Calculate j.
-4, -1, -2/3, 3
Suppose 5*i**5 - 1065*i**4 + 8285*i**3 - 17475*i**2 + 10250*i = 0. Calculate i.
0, 1, 2, 5, 205
Let -2*a**3/3 - 22*a**2/3 - 62*a/3 - 14 = 0. What is a?
-7, -3, -1
Find p such that 2*p**4/5 - 296*p**3/5 + 16428*p**2/5 - 405224*p/5 + 3748322/5 = 0.
37
Suppose -b**3/4 + 5*b**2/4 - 2*b + 1 = 0. Calculate b.
1, 2
Factor 2*q**4/3 + 22*q**3/3 - 26*q**2 + 82*q/3 - 28/3.
2*(q - 1)**3*(q + 14)/3
Factor -y**2/4 + 3*y - 8.
-(y - 8)*(y - 4)/4
Suppose -7*d**2 + 92*d + 84 = 0. What is d?
-6/7, 14
Let -u**3 + 13*u**2 + 64*u + 68 = 0. What is u?
-2, 17
Solve -4*c**3 + 24*c**2 - 128 = 0.
-2, 4
Solve 24*r**2 + 20*r - 4 = 0 for r.
-1, 1/6
Solve 4*w**4 - 48*w**3 + 36*w**2 + 88*w = 0.
-1, 0, 2, 11
Factor 4*n**3 + 15468*n**2 + 19938252*n + 8566802276.
4*(n + 1289)**3
Find n such that 5*n**4 + 90*n**3 + 525*n**2 + 1160*n + 720 = 0.
-9, -4, -1
Factor -3*w**4/5 - 237*w**3/5 - 93*w**2 - 231*w/5.
-3*w*(w + 1)**2*(w + 77)/5
Factor 3*n**3/2 + 18*n**2 + 123*n/2 + 45.
3*(n + 1)*(n + 5)*(n + 6)/2
Factor -5*z**2 - 2080*z - 216320.
-5*(z + 208)**2
Find t, given that t**5 + 18*t**4 - 40*t**3 = 0.
-20, 0, 2
Solve -2*y**2/3 + 106*y/3 + 36 = 0.
-1, 54
Factor 4*m**2 + 11076*m - 11080.
4*(m - 1)*(m + 2770)
Factor -h**2/7 - 304*h/7 - 23104/7.
-(h + 152)**2/7
Factor -j**3/9 + 247*j**2/9 + 497*j/9 + 83/3.
-(j - 249)*(j + 1)**2/9
Determine t, given that -22*t**4 + 6*t**3 + 216*t**2 + 88*t - 288 = 0.
-2, 1, 36/11
Solve -f**5 + 54*f**4 - 374*f**3 + 236*f**2 + 1815*f + 1150 = 0.
-1, 5, 46
Solve f**3/6 + 3*f**2/2 + 4*f + 8/3 = 0 for f.
-4, -1
Suppose 3*f**5/7 - 24*f**4/7 - 6*f**3/7 + 48*f**2/7 + 3*f/7 - 24/7 = 0. What is f?
-1, 1, 8
Factor -m**5/4 + m**3 + m**2/2 - 3*m/4 - 1/2.
-(m - 2)*(m - 1)*(m + 1)**3/4
Find g such that 5*g**2 - 40*g + 35 = 0.
1, 7
Solve 10*q**3 + 54*q**2 - 3340*q - 1344 = 0.
-21, -2/5, 16
What is o in 2*o**4/9 - 2*o**3/9 = 0?
0, 1
Factor -5*l**4 + 3020*l**3 - 684030*l**2 + 68859020*l - 2599428005.
-5*(l - 151)**4
Factor -5*z**3/2 + 115*z**2/2 - 455*z/2 - 2535/2.
-5*(z - 13)**2*(z + 3)/2
Suppose -d**4/5 - 837*d**3/5 - 174723*d**2/5 + 175561*d/5 = 0. Calculate d.
-419, 0, 1
Suppose -f**4 + 105*f**3 - 2475*f**2 - 15125*f = 0. What is f?
-5, 0, 55
Factor 5*c**3 + 490*c**2 - 995*c + 500.
5*(c - 1)**2*(c + 100)
Let -2*a**3 - 2802*a**2 - 979998*a + 982802 = 0. Calculate a.
-701, 1
Factor 6*m**2/5 - 58*m/5 - 4.
2*(m - 10)*(3*m + 1)/5
Solve 3*b**4 - 21*b**3 - 90*b**2 = 0.
-3, 0, 10
Find f such that 4*f**3 + 28*f**2 - 40*f - 64 = 0.
-8, -1, 2
Factor -2*t**4 + 26*t**3 - 14*t**2 - 114*t - 72.
-2*(t - 12)*(t - 3)*(t + 1)**2
Find z such that -3*z**3 - 5367*z**2 - 21432*z - 21420 = 0.
-1785, -2
Factor 6*t**4/7 - 24*t**3/7 - 36*t**2/7 + 24*t/7 + 30/7.
6*(t - 5)*(t - 1)*(t + 1)**2/7
Suppose -r**5 - r**4/4 + r**3 + r**2/4 = 0. Calculate r.
-1, -1/4, 0, 1
Factor -4*j**3 + 1408*j**2 - 123904*j.
-4*j*(j - 176)**2
Determine d so that 4*d**5 - 48*d**4 + 212*d**3 - 424*d**2 + 384*d - 128 = 0.
1, 2, 4
Determine k, given that k**4/6 - 5*k**3/2 + 13*k**2/3 = 0.
0, 2, 13
What is l in -l**3/5 - 4*l**2/5 + 3*l + 18/5 = 0?
-6, -1, 3
Factor g**4/2 - 25*g**3/2 + 119*g**2/2 - 95*g/2.
g*(g - 19)*(g - 5)*(g - 1)/2
Factor 2*b**3/3 + 12*b**2.
2*b**2*(b + 18)/3
Solve 12*y**2/17 - 22*y/17 - 4/17 = 0 for y.
-1/6, 2
Suppose -b**2 - 372*b + 373 = 0. What is b?
-373, 1
Determine q so that 2*q**4/21 + 74*q**3/21 + 330*q**2/7 + 5566*q/21 + 10648/21 = 0.
-11, -4
Let -a**2 + 420*a = 0. Calculate a.
0, 420
Factor -245*j**4 - 1815100*j**3 - 3362343060*j**2 - 1920894400*j - 274392320.
-5*(j + 3704)**2*(7*j + 2)**2
Factor -4*t**3 - 64*t**2 + 228*t.
-4*t*(t - 3)*(t + 19)
Factor -5*r**2 + 300*r - 1855.
-5*(r - 53)*(r - 7)
Factor p**3/4 + 6123*p**2/4 + 12497043*p/4 + 8502154921/4.
(p + 2041)**3/4
Factor -l**2/3 + 10*l/3.
-l*(l - 10)/3
Determine l so that 3*l**4/4 - 3*l**3 - 441*l**2/2 - 1053*l + 5103/4 = 0.
-9, 1, 21
Determine u, given that u**3 + 149*u**2 + 5624*u + 5476 = 0.
-74, -1
Determine l so that 3*l**2/4 + 81*l/4 + 39/2 = 0.
-26, -1
Find n such that -51*n**2/5 - 483*n/5 - 216/5 = 0.
-9, -8/17
Determine i so that -23*i**3/2 - 163*i**2/2 + 84*i = 0.
-8, 0, 21/23
Let 5*i**4 + 840*i**3 + 36110*i**2 + 69720*i + 34445 = 0. What is i?
-83, -1
Factor 9*q**3/5 + 23043*q**2/5 + 2950656*q + 983040.
3*(q + 1280)**2*(3*q + 1)/5
Factor 3*u**2 - 198*u.
3*u*(u - 66)
Find j, given that -2*j**4/17 + 58*j**3/17 - 448*j**2/17 + 392*j/17 = 0.
0, 1, 14
Find g such that -g**3/6 + 287*g**2/2 - 82369*g/2 + 23639903/6 = 0.
287
Factor -5*j**2/6 + 5*j/3 + 5/2.
-5*(j - 3)*(j + 1)/6
Factor -4*s**4/5 + 1152*s**3/5 - 84084*s**2/5 + 163592*s/5.
-4*s*(s - 143)**2*(s - 2)/5
Factor -50*m**2 - 480*m - 1152.
-2*(5*m + 24)**2
Solve b**5/2 - 209*b**4/2 + 10373*b**3/2 + 58529*b**2/2 - 34347*b = 0 for b.
-6, 0, 1, 107
Solve n**4 + 5*n**3 + 8*n**2 + 4*n = 0 for n.
-2, -1, 0
Factor -g**2/3 - 100*g/3 + 416/3.
-(g - 4)*(g + 104)/3
Factor 5*a**2 + 225*a - 230.
5*(a - 1)*(a + 46)
Factor o**4/4 - o**3 - 61*o**2/4 - 41*o - 33.
(o - 11)*(o + 2)**2*(o + 3)/4
Factor 11*a**4 - 20*a**3 + 7*a**2 + 2*a.
a*(a - 1)**2*(11*a + 2)
Let n**2/5 - 596*n/5 + 1188/5 = 0. What is n?
2, 594
Factor -2*g**2 - 30*g.
-2*g*(g + 15)
Factor 2*t**2/7 + 2656*t/7 + 881792/7.
2*(t + 664)**2/7
Factor 3*k**3/5 + 193*k**2/5 + 253*k/5 + 63/5.
(k + 1)*(k + 63)*(3*k + 1)/5
Factor 128*m**4/3 - 1888*m**3/3 + 454*m**2 - 84*m.
2*m*(m - 14)*(8*m - 3)**2/3
Suppose -2*w**4/11 + 22*w**3 + 246*w**2/11 - 22*w - 244/11 = 0. What is w?
-1, 1, 122
Solve -6*x**2 + 74*x/3 - 8/3 = 0 for x.
1/9, 4
Solve k**4/9 - 4*k**3/9 - k**2/9 + 4*k/9 = 0 for k.
-1, 0, 1, 4
Let 10*w**2/3 + 184*w/3 + 24 = 0. Calculate w.
-18, -2/5
What is c in 2*c**3/11 - 20*c**2/11 + 18*c/11 = 0?
0, 1, 9
Factor z**2/2 + 85*z/2 + 237.
(z + 6)*(z + 79)/2
Solve -6*o**5 - 99*o**4/2 - 60*o**3 + 180*o**2 + 336*o + 72 = 0 for o.
-6, -2, -1/4, 2
Factor -3*z**2/4 - 51*z/2.
-3*z*(z + 34)/4
Factor 3*f**3/5 + 21*f**2 + 102*f/5.
3*f*(f + 1)*(f + 34)/5
Factor -2*s**4/11 + 6*s**3/11 + 18*s**2/11 + 10*s/11.
-2*s*(s - 5)*(s + 1)**2/11
Factor -9*c**5 + 7*c**4 + 2*c**3.
-c**3*(c - 1)*(9*c + 2)
Factor 2*t**3/9 + 26*t**2/3.
2*t**2*(t + 39)/9
Solve -3*k**5/4 - 43*k**4/4 - 24*k**3 + 90*k**2 + 44*k - 60 = 0.
-10, -6, -1, 2/3, 2
Solve -d**3/9 - 22*d**2/9 - 35*d/3 = 0 for d.
-15, -7, 0
Factor 9*s**3 - 27*s**2 - 34*s - 8.
(s - 4)*(3*s + 1)*(3*s + 2)
Find h, given that 4*h**2 - 9296*h + 5400976 = 0.
1162
Factor d**4/2 + 263*d**3/2 - 399*d**2.
d**2*(d - 3)*(d + 266)/2
Factor -2*i**5/3 + 2*i**4/3 + 4*i**3/3 - 4*i**2/3 - 2*i/3 + 2/3.
-2*(i - 1)**3*(i + 1)**2/3
Factor 3*i**5 - 693*i**4 + 54702*i**3 - 1575450*i*