
-2*(v + 3)**2*(v + 9)
Suppose -2*m**5 - 4*m**4 + 12*m**3 + 8*m**2 - 26*m + 12 = 0. What is m?
-3, -2, 1
Solve 5*u**4 + 30*u**3 - 380*u**2 + 930*u - 585 = 0.
-13, 1, 3
Let -i**2/3 + 1148*i/3 - 1145 = 0. What is i?
3, 1145
Suppose -5*t**5 + 190*t**4 - 535*t**3 + 350*t**2 = 0. What is t?
0, 1, 2, 35
Factor 5*v**3 - 2665*v**2 + 2660*v.
5*v*(v - 532)*(v - 1)
Factor -2*r**2/5 - 28*r/5 - 66/5.
-2*(r + 3)*(r + 11)/5
Find p, given that 245*p**3 + 16030*p**2 - 9220*p + 1320 = 0.
-66, 2/7
Factor 2*o**2/3 - 2*o + 4/3.
2*(o - 2)*(o - 1)/3
Factor -3*m**3 + 9*m**2 + 432*m - 2496.
-3*(m - 8)**2*(m + 13)
Suppose 2*i**3/13 + 112*i**2/13 + 424*i/13 + 32 = 0. Calculate i.
-52, -2
Factor -2*u**4 + 54*u**3 - 390*u**2 + 338*u.
-2*u*(u - 13)**2*(u - 1)
Find r such that -3*r**2 + 162*r - 459 = 0.
3, 51
Determine a, given that -4*a**5 + 124*a**4 - 892*a**3 + 2308*a**2 - 2416*a + 880 = 0.
1, 2, 5, 22
Let -3*h**3 - 1629*h**2 + 4908*h - 3276 = 0. What is h?
-546, 1, 2
Solve n**4/4 - 9*n**3/4 - 117*n**2/4 + 5*n/4 + 300 = 0 for n.
-5, 3, 16
Factor -28*w**2 + 8*w.
-4*w*(7*w - 2)
Solve -4*w**5 - 13*w**4 - 7*w**3 + 11*w**2 + 11*w + 2 = 0.
-2, -1, -1/4, 1
Factor 3*n**4 + 84*n**3 + 303*n**2 + 366*n + 144.
3*(n + 1)**2*(n + 2)*(n + 24)
Let 3*w**2 + 33*w + 84 = 0. Calculate w.
-7, -4
Factor 2*w**2/13 - 28*w/13.
2*w*(w - 14)/13
Factor -35*p**2/2 + 9*p + 4.
-(5*p - 4)*(7*p + 2)/2
What is o in -3*o**2 + 81*o + 480 = 0?
-5, 32
Solve w**2/4 + 62*w + 123 = 0 for w.
-246, -2
Factor 6*j**2/5 - 312*j/5 + 120.
6*(j - 50)*(j - 2)/5
Solve -16*z**3 - 4*z**2 + 256*z + 64 = 0 for z.
-4, -1/4, 4
Let c**3 + 7*c**2 + 4*c - 12 = 0. What is c?
-6, -2, 1
Solve -p**2/3 - 4990*p/3 - 6225025/3 = 0.
-2495
Let z**3 + 2*z**2 - 315*z + 900 = 0. Calculate z.
-20, 3, 15
Find a, given that a**2/2 + 634*a + 200978 = 0.
-634
Solve -14*j**4/15 + 172*j**3/15 - 454*j**2/15 + 368*j/15 - 24/5 = 0.
2/7, 1, 2, 9
Let -7*g**4/4 - 15*g**3/2 - 41*g**2/4 - 9*g/2 = 0. What is g?
-2, -9/7, -1, 0
Factor 2*v**5/15 - 4*v**4/5 + 6*v**3/5.
2*v**3*(v - 3)**2/15
Factor -w**4/3 + 35*w**3 - 969*w**2 + 2601*w.
-w*(w - 51)**2*(w - 3)/3
Factor -j**2 - 9*j + 36.
-(j - 3)*(j + 12)
Let -3*u**2 + 7467*u = 0. Calculate u.
0, 2489
Find k, given that 6*k**5/11 + 46*k**4/11 - 274*k**3/11 + 434*k**2/11 - 260*k/11 + 48/11 = 0.
-12, 1/3, 1, 2
Factor 2*h**4/5 - 4*h**3/5 - 2*h**2 + 12*h/5.
2*h*(h - 3)*(h - 1)*(h + 2)/5
Let -2*m**4/11 + 18*m**3 - 388*m**2/11 = 0. What is m?
0, 2, 97
Factor -18*y**3/17 + 24*y**2/17 + 22*y/17 + 4/17.
-2*(y - 2)*(3*y + 1)**2/17
Find n, given that 6*n**2 - 9*n/4 = 0.
0, 3/8
Determine r so that 2*r**4/13 - 42*r**3/13 + 296*r**2/13 - 840*r/13 + 800/13 = 0.
2, 4, 5, 10
Factor 2*g**3/9 + 68*g**2/9 - 2354*g/9 - 2420/9.
2*(g - 22)*(g + 1)*(g + 55)/9
Factor -z**5 - 16*z**4 - 81*z**3 - 182*z**2 - 188*z - 72.
-(z + 1)*(z + 2)**3*(z + 9)
Solve h**4/6 - 3*h**3 + 97*h**2/6 - 30*h + 50/3 = 0 for h.
1, 2, 5, 10
Let 2*d**4/7 + 116*d**3/7 + 1562*d**2/7 - 3480*d/7 + 1800/7 = 0. What is d?
-30, 1
Determine i so that 4*i**2 + 576*i + 20736 = 0.
-72
Solve -23*t**2/2 + 25*t/2 - 1 = 0 for t.
2/23, 1
What is a in 5*a**5 + 40*a**4 + 70*a**3 - 40*a**2 - 75*a = 0?
-5, -3, -1, 0, 1
Let f**2 + 12*f + 27 = 0. Calculate f.
-9, -3
Suppose v**4/4 + 205*v**3/4 + 12467*v**2/4 + 190463*v/4 = 0. What is v?
-91, -23, 0
Suppose o**2/5 + 41*o/5 - 132/5 = 0. What is o?
-44, 3
Determine l so that -3*l**2 - 12*l + 15 = 0.
-5, 1
Solve 2*s**3/7 + 116*s**2/7 - 122*s/7 - 236/7 = 0.
-59, -1, 2
Suppose -2*q**2 + 106*q + 108 = 0. What is q?
-1, 54
Factor -z**5 + 11*z**4 - 36*z**3 + 32*z**2 + 32*z - 48.
-(z - 6)*(z - 2)**3*(z + 1)
Factor 2*h**5/11 - 48*h**4/11 + 36*h**3 - 1296*h**2/11 + 1458*h/11.
2*h*(h - 9)**2*(h - 3)**2/11
Let 31*m**3 + 147*m**2/4 + 21*m/4 - 1/2 = 0. What is m?
-1, -1/4, 2/31
Determine l so that 2*l**3/5 - 174*l**2/5 - 354*l/5 - 178/5 = 0.
-1, 89
Find v such that -4*v**5 - 1508*v**4 - 141368*v**3 + 144392*v**2 + 141372*v - 142884 = 0.
-189, -1, 1
Factor 2*d**4/5 - 6*d**3/5 - 36*d**2/5 + 16*d.
2*d*(d - 5)*(d - 2)*(d + 4)/5
Solve -5*a**3 - 195*a**2 - 375*a - 185 = 0 for a.
-37, -1
Find x such that 2*x**5 - 10*x**4 - 78*x**3 + 346*x**2 + 76*x - 336 = 0.
-6, -1, 1, 4, 7
Factor a**4/3 + 26*a**3/3 + 193*a**2/3 + 104*a + 48.
(a + 1)**2*(a + 12)**2/3
Find v, given that -3*v**5/5 - 111*v**4/5 - 1254*v**3/5 - 726*v**2/5 + 67881*v/5 + 307461/5 = 0.
-11, 7
Factor -k**3/2 - 126*k**2 - 15621*k/2 + 16129.
-(k - 2)*(k + 127)**2/2
Let 2*q**5/3 - 14*q**4/3 + 4*q**3 = 0. What is q?
0, 1, 6
Suppose -2*m**2/9 - 2*m/3 = 0. What is m?
-3, 0
Factor v**3 + 4*v**2 - 52*v + 80.
(v - 4)*(v - 2)*(v + 10)
Factor -2*g**3/9 + 20*g**2/9 - 14*g/9 - 4.
-2*(g - 9)*(g - 2)*(g + 1)/9
Factor -3*u**3/7 + 2052*u**2/7 - 350892*u/7.
-3*u*(u - 342)**2/7
Solve -2*u**4 + 332*u**3 - 14106*u**2 + 27224*u - 13448 = 0.
1, 82
Factor -j**3 - 1077*j**2 - 289443*j + 290521.
-(j - 1)*(j + 539)**2
Find h, given that -h**4/2 + 81*h**3 - 6721*h**2/2 + 6480*h - 3200 = 0.
1, 80
Let 2*f**3 - 1254*f**2 + 195936*f + 197192 = 0. Calculate f.
-1, 314
Factor 3*b**3 + 69*b**2 + 129*b + 63.
3*(b + 1)**2*(b + 21)
Factor 3*z**3/8 - 39*z**2/8 - 345*z/4.
3*z*(z - 23)*(z + 10)/8
What is j in 100*j**5 - 860*j**4 + 2684*j**3 - 3748*j**2 + 2400*j - 576 = 0?
4/5, 1, 3
Factor 10*g**2/7 - 2*g/7.
2*g*(5*g - 1)/7
Factor 3*t**2 + 111*t + 696.
3*(t + 8)*(t + 29)
Determine y so that 21*y**4/5 - 216*y**3/5 + 417*y**2/5 - 54*y + 48/5 = 0.
2/7, 1, 8
Solve -4*q**4 - 564*q**3 - 18412*q**2 + 104244*q - 85264 = 0 for q.
-73, 1, 4
Determine b so that 2*b**5 + 70*b**4 + 574*b**3 - 718*b**2 - 576*b + 648 = 0.
-18, -1, 1
What is a in -2*a**5/5 - 12*a**4/5 + 28*a**3/5 + 96*a**2/5 - 26*a/5 - 84/5 = 0?
-7, -2, -1, 1, 3
Solve -b**3/4 - 61*b**2/4 + 31*b/2 = 0.
-62, 0, 1
Solve -2*p**2/11 - 116*p/11 + 138 = 0 for p.
-69, 11
Let -3*k**5 - 747*k**4 + 765*k**3 + 3759*k**2 + 2250*k = 0. Calculate k.
-250, -1, 0, 3
Factor -2*r**3 - 66*r**2 - 510*r + 578.
-2*(r - 1)*(r + 17)**2
Find i, given that -4*i**3 + 360*i**2 + 12432*i + 92512 = 0.
-14, 118
Factor -3*x**2/4 + 3465*x/2.
-3*x*(x - 2310)/4
Factor -n**2/5 + 128*n/5 - 4096/5.
-(n - 64)**2/5
Determine j, given that 2*j**2/9 + 698*j/9 + 232/3 = 0.
-348, -1
Factor o**5 - 3*o**4 - o**3 + 3*o**2.
o**2*(o - 3)*(o - 1)*(o + 1)
Factor 324*p**4/5 - 3708*p**3/5 + 9529*p**2/5 + 1236*p + 180.
(p - 6)**2*(18*p + 5)**2/5
Let -5*s**3 + 190*s**2 - 480*s - 28800 = 0. What is s?
-10, 24
Factor -4*d**3 + 20*d**2 - 12*d - 36.
-4*(d - 3)**2*(d + 1)
Let 2*u**4 + 514*u**3 + 510*u**2 - 514*u - 512 = 0. What is u?
-256, -1, 1
Find n, given that 4*n**5 - 8*n**4 - 44*n**3 + 48*n**2 + 144*n = 0.
-2, 0, 3
Determine c, given that 3*c**4 - 270*c**3 + 5511*c**2 + 25380*c + 26508 = 0.
-2, 47
What is j in 8*j**5 - 2*j**4 - 16*j**3 + 4*j**2 + 8*j - 2 = 0?
-1, 1/4, 1
Factor 2*i**2/3 + 236*i/3 + 1130/3.
2*(i + 5)*(i + 113)/3
Factor 2*l**2/15 + 2*l/15 - 8/3.
2*(l - 4)*(l + 5)/15
Let -4*l**4 - 36*l**3 - 56*l**2 = 0. What is l?
-7, -2, 0
Find t such that -5*t**4 + 75*t**3 - 50*t**2 - 300*t + 280 = 0.
-2, 1, 2, 14
Let -v**3/3 + 140*v**2/3 - 4900*v/3 = 0. What is v?
0, 70
Solve 2*w**3/7 + 6*w**2/7 + 4*w/7 = 0 for w.
-2, -1, 0
Suppose 5*b**2 + 90*b - 440 = 0. What is b?
-22, 4
Find v, given that -2*v**5/17 - 4*v**4/17 + 8*v**3/17 + 16*v**2/17 = 0.
-2, 0, 2
Let 4*h**3 + 96*h**2 + 500*h + 408 = 0. What is h?
-17, -6, -1
Factor -5*r**3 - 5*r**2 + 10*r.
-5*r*(r - 1)*(r + 2)
Let a**3/2 + 16*a**2 + 90*a - 648 = 0. Calculate a.
-18, 4
What is r in -2*r**4/3 - 244*r**3/3 - 2560*r**2 - 4800*r = 0?
-60, -2, 0
Solve -2*u**3/7 - 2*u**2 + 20*u/7 + 32/7 = 0 for u.
-8, -1, 2
Factor -3*c**2/7 + 1644*c/7 - 225228/7.
-3*(c - 274)**2/7
Suppose -b**4 - 108*b**3 - 3360*b**2 - 6400*b + 768000 = 0. What is b?
-40, 12
Factor 3*k**3 - 12*k**2 + 15*k - 6.
3*(k - 2)*(k - 1)**2
Factor 2*q**4 - 56*q**3 + 480*q**2 - 800*q - 4000.
2*(q - 10)**3*(q + 2)
Factor 2*c**3 - 20*c**2 + 26*c + 48.
2*(c - 8)*(c - 3)*(c + 1)
Factor t**2 + 163*t + 636.
(t + 4)*(t + 159)
Solve 58*o**3/7 + 59*o**2/7 - 115*o/7 - 2/7 = 0.
-2, -1/58, 1
Suppose -2*f**5/11 - 2*f**4/11 + 18*f**3/11 - 2*f**2 + 8*f/11 = 0. What is f?
-4, 0, 1
Factor 2*q**2/9 - 4*q/9.
2*q*(q - 2)/9
Factor -2*q**4/5 + 2*q**3 - 6*q**2/5 - 18*q/5.
-2*q*(q - 3)**2*(q + 1)/5
Determine m, given that -3*m**3/5 + 3*m**2 + 24*m/5 - 36/5 =