
-4*(n + 1)*(n + 11)
Factor 3*m**4/4 - 6*m**3 + 51*m**2/4 - 15*m/2.
3*m*(m - 5)*(m - 2)*(m - 1)/4
Factor 2*x**2/9 - 8*x/9 - 14/3.
2*(x - 7)*(x + 3)/9
Factor 2*o**5/3 - 68*o**4 + 4994*o**3/3 + 3536*o**2 + 5408*o/3.
2*o*(o - 52)**2*(o + 1)**2/3
Factor 4*y**2 + 1776*y.
4*y*(y + 444)
Factor 68*d**2 - 264*d.
4*d*(17*d - 66)
Suppose 4*q**5 - 100*q**4 - 324*q**3 - 332*q**2 - 112*q = 0. Calculate q.
-1, 0, 28
Suppose -2*a**4/5 + 118*a**3/5 - 1798*a**2/5 + 1682*a/5 = 0. Calculate a.
0, 1, 29
Factor w**4/4 - w**3/2 - 3*w**2/4.
w**2*(w - 3)*(w + 1)/4
Let 2*t**3/7 + 12*t**2/7 + 24*t/7 + 16/7 = 0. What is t?
-2
Suppose -11*y**2/9 - 227*y/9 + 28/3 = 0. Calculate y.
-21, 4/11
Suppose 2*p**5 - 72*p**4 - 660*p**3 - 1888*p**2 - 2094*p - 792 = 0. Calculate p.
-3, -1, 44
Let 28*q**3/3 - 260*q**2/3 + 296*q/3 - 64/3 = 0. Calculate q.
2/7, 1, 8
Let -s**3 - 119*s**2 - 112*s + 708 = 0. Calculate s.
-118, -3, 2
Suppose j**4 + 254*j**3 + 504*j**2 = 0. Calculate j.
-252, -2, 0
Factor -4*r**4 + 40*r**3 - 48*r**2 - 160*r + 256.
-4*(r - 8)*(r - 2)**2*(r + 2)
Factor 3*k**3 + 9*k**2 + 6*k.
3*k*(k + 1)*(k + 2)
Determine x so that x**4 - 5067*x**3 + 8558163*x**2 - 4818245769*x = 0.
0, 1689
Factor 5*t**3 - 115*t**2 - 5*t + 115.
5*(t - 23)*(t - 1)*(t + 1)
Factor 4*c**4 - 312*c**3 + 8404*c**2 - 90480*c + 336400.
4*(c - 29)**2*(c - 10)**2
Factor -22*u**2/5 + 654*u/5 - 464/5.
-2*(u - 29)*(11*u - 8)/5
Factor 3*o**3/5 - 63*o**2/5 - 588*o/5.
3*o*(o - 28)*(o + 7)/5
Factor l**2/2 + 4630*l + 10718450.
(l + 4630)**2/2
Let -2*i**4/3 - 52*i**3/3 - 158*i**2 - 576*i - 648 = 0. What is i?
-9, -6, -2
Find h, given that -14*h**2/17 + 1376*h/17 - 392/17 = 0.
2/7, 98
Factor -2*r**5/9 + 8*r**4/3 + 28*r**3/3 + 88*r**2/9 + 10*r/3.
-2*r*(r - 15)*(r + 1)**3/9
Factor 18*x**3/5 + 156*x**2 + 1016*x/5 + 336/5.
2*(x + 42)*(3*x + 2)**2/5
Determine n so that 22*n**4 + 92*n**3 - 94*n**2 - 20*n = 0.
-5, -2/11, 0, 1
Let -2*f**4/3 + 26*f**3/3 - 38*f**2 + 66*f - 36 = 0. Calculate f.
1, 3, 6
Find y, given that -2*y**2 - 18*y + 20 = 0.
-10, 1
Determine f, given that 2*f**3/9 + 1180*f**2/9 + 2342*f/3 + 1168 = 0.
-584, -3
Factor 2*o**2/9 - 148*o/9 + 2738/9.
2*(o - 37)**2/9
Factor t**5 + 105*t**4 - 654*t**3 + 1322*t**2 - 1107*t + 333.
(t - 3)*(t - 1)**3*(t + 111)
Solve 3*p**3 + 351*p**2 + 9720*p - 32400 = 0 for p.
-60, 3
Solve -2*k**5 - 14*k**4 - 20*k**3 = 0 for k.
-5, -2, 0
Suppose 4*g**4 - 1056*g**3 + 104544*g**2 - 4599936*g + 75898944 = 0. Calculate g.
66
Find j, given that -j**4 - 225*j**3 - 13813*j**2 - 128079*j - 114490 = 0.
-107, -10, -1
Determine y so that 2*y**2/5 - 22*y/5 + 36/5 = 0.
2, 9
Factor 5*d**3 - 65*d**2 - 5*d + 65.
5*(d - 13)*(d - 1)*(d + 1)
Solve 3*c**3 - 8244*c**2 + 5655375*c + 11343750 = 0.
-2, 1375
Factor 4*s**3 - 128*s**2 + 244*s - 120.
4*(s - 30)*(s - 1)**2
Factor -75*o**3 + 1740*o**2 + 1428*o + 288.
-3*(o - 24)*(5*o + 2)**2
Determine c so that -c**2 - 1768*c - 781456 = 0.
-884
Suppose u**5/3 - 7*u**4/3 + 10*u**3/3 + 2*u**2/3 - 11*u/3 + 5/3 = 0. What is u?
-1, 1, 5
Factor q**4/3 - 8*q**3/3 - 20*q**2/3.
q**2*(q - 10)*(q + 2)/3
Factor -4*y**4/5 + 96*y**3/5 + 204*y**2/5 + 104*y/5.
-4*y*(y - 26)*(y + 1)**2/5
Factor -4*l**3 + 80*l**2 - 324*l + 360.
-4*(l - 15)*(l - 3)*(l - 2)
Find w, given that 2*w**3/5 - 458*w**2/5 - 3304*w/5 = 0.
-7, 0, 236
Factor -5*o**2 + 12430*o - 7725245.
-5*(o - 1243)**2
Factor -10*j**3 + 48*j**2 - 74*j + 36.
-2*(j - 2)*(j - 1)*(5*j - 9)
Let -7*i**3/2 + 36*i**2 - 195*i/2 + 25 = 0. Calculate i.
2/7, 5
What is u in -5*u**2 + 85*u + 90 = 0?
-1, 18
Let -3*c**2 + 408*c - 3429 = 0. Calculate c.
9, 127
Factor -r**3/6 - 425*r**2/2 - 180625*r/2 - 76765625/6.
-(r + 425)**3/6
Factor 5*s**4 - 105*s**3 + 685*s**2 - 1395*s + 810.
5*(s - 9)**2*(s - 2)*(s - 1)
Factor -2*y**4/5 + 6*y**3/5 - 8*y/5.
-2*y*(y - 2)**2*(y + 1)/5
Let -3*d**3 - 105*d**2 - 861*d + 969 = 0. Calculate d.
-19, -17, 1
Solve -l**4/6 - 31*l**3/6 - 293*l**2/6 - 689*l/6 + 169 = 0.
-13, -6, 1
Solve -2*g**5 - 16*g**4 + 4*g**3 + 32*g**2 - 2*g - 16 = 0.
-8, -1, 1
Factor 2*v**4/19 + 26*v**3/19 + 96*v**2/19 + 72*v/19.
2*v*(v + 1)*(v + 6)**2/19
Factor 3*k**4 + 87*k**3 + 666*k**2 + 420*k - 1176.
3*(k - 1)*(k + 2)*(k + 14)**2
Determine d so that 81*d**3/4 - 399*d**2/4 - 15*d/2 = 0.
-2/27, 0, 5
Factor -20*l**3 + 530*l**2 + 3315*l/4 + 315.
-5*(l - 28)*(4*l + 3)**2/4
Factor -2*u**3/11 - 36*u**2/11 + 58*u.
-2*u*(u - 11)*(u + 29)/11
Suppose 2*g**5 - 244*g**4 + 11216*g**3 - 237728*g**2 + 2265760*g - 7860800 = 0. Calculate g.
10, 34
Factor -3*n**3 - 786*n**2 - 53019*n - 199692.
-3*(n + 4)*(n + 129)**2
Factor -2*b**4 + 6*b**2 - 4*b.
-2*b*(b - 1)**2*(b + 2)
Let 2*m**3 + 1470*m**2 - 2946*m + 1474 = 0. Calculate m.
-737, 1
What is n in -10*n**5/11 - 4*n**4/11 + 210*n**3/11 + 284*n**2/11 + 80*n/11 = 0?
-4, -1, -2/5, 0, 5
Solve 5*d**4 - 250*d**3 + 1400*d**2 + 4650*d - 5805 = 0 for d.
-3, 1, 9, 43
Determine d so that 5*d**4 - 105*d**3 + 355*d**2 - 255*d = 0.
0, 1, 3, 17
Suppose 2*g**3/3 - 14*g**2/3 + 16*g/3 + 32/3 = 0. What is g?
-1, 4
Factor 2*f**3/15 - 108*f**2/5 + 4374*f/5.
2*f*(f - 81)**2/15
Factor -x**5/7 + 4*x**4/7 + 12*x**3/7 - 32*x**2/7 - 64*x/7.
-x*(x - 4)**2*(x + 2)**2/7
Find f, given that 3*f**4 - 120*f**3 + 1800*f**2 - 12000*f + 30000 = 0.
10
Factor 26*k**2 - 446*k + 68.
2*(k - 17)*(13*k - 2)
Solve -50*w**5/9 + 110*w**4/3 + 46*w**3/3 + 14*w**2/9 = 0 for w.
-1/5, 0, 7
Suppose 4*d**2 + 10708*d + 10704 = 0. What is d?
-2676, -1
Factor c**3/3 - 10*c**2/3.
c**2*(c - 10)/3
Find x, given that -3*x**4/4 + 66*x**3 - 252*x**2 = 0.
0, 4, 84
Let 4*u**2 + 52*u - 120 = 0. What is u?
-15, 2
Determine b so that 2*b**4/19 + 1118*b**3/19 - 3366*b**2/19 + 3370*b/19 - 1124/19 = 0.
-562, 1
Factor v**3 + 22*v**2 + 41*v + 20.
(v + 1)**2*(v + 20)
Solve 5*w**3 + 30*w**2 + 45*w + 20 = 0.
-4, -1
Factor 84*o**3 + 250*o**2 - 342*o + 8.
2*(o - 1)*(o + 4)*(42*o - 1)
Find i, given that -4*i**4 - 4*i**3 + 12*i**2 + 4*i - 8 = 0.
-2, -1, 1
Factor c**4 - 731*c**3 + 179322*c**2 - 15050948*c + 70862440.
(c - 242)**3*(c - 5)
What is d in 5*d**2 - 20 = 0?
-2, 2
Suppose 3*z**3 - 255*z**2 - 522*z = 0. What is z?
-2, 0, 87
Factor -a**2/3 - 1913*a/3.
-a*(a + 1913)/3
Suppose -2*a**4/3 - 8*a**3 + 26*a**2/3 = 0. What is a?
-13, 0, 1
Find h, given that -2*h**5/9 - 4*h**4/9 + 14*h**3/9 + 40*h**2/9 + 8*h/3 = 0.
-2, -1, 0, 3
Suppose -2*i**2/13 - 1492*i/13 - 1490/13 = 0. Calculate i.
-745, -1
Find d, given that -6*d**4 - 338*d**3 - 1678*d**2 - 2358*d - 612 = 0.
-51, -3, -2, -1/3
What is l in -2*l**3/5 + 1784*l**2/5 + 1074*l = 0?
-3, 0, 895
Solve -2*b**4 - 12*b**3 - 22*b**2 - 12*b = 0.
-3, -2, -1, 0
Find c, given that 6*c**3/5 + 28*c**2/5 - 66*c + 576/5 = 0.
-32/3, 3
Find u such that 2*u**5/5 - 6*u**4/5 - 14*u**3/5 + 6*u**2 + 36*u/5 = 0.
-2, -1, 0, 3
Factor 2*a**3 - 6*a + 4.
2*(a - 1)**2*(a + 2)
Factor -3*y**2 - 297*y - 3984.
-3*(y + 16)*(y + 83)
Determine l so that -l**4/4 - 17*l**3/4 - 91*l**2/4 - 147*l/4 = 0.
-7, -3, 0
Solve y**3 - 737*y**2 + 134680*y + 410700 = 0.
-3, 370
Factor 2*v**2 + 82*v - 84.
2*(v - 1)*(v + 42)
Solve -w**5 + 9*w**4 + 13*w**3 - 137*w**2 - 336*w - 196 = 0.
-2, -1, 7
Let 2*u**2/3 - 152*u/3 - 154/3 = 0. Calculate u.
-1, 77
What is x in x**2/3 - 289*x/3 + 658 = 0?
7, 282
Factor -32*b**4/9 + 16*b**3 - 22*b**2/3 + 8*b/9.
-2*b*(b - 4)*(4*b - 1)**2/9
Let s**3 - 3*s**2 + 2*s = 0. What is s?
0, 1, 2
Solve 27*p**3/5 - 75*p**2 + 309*p/5 + 39/5 = 0 for p.
-1/9, 1, 13
Factor -2*j**3/5 - 36*j**2/5 + 34*j - 132/5.
-2*(j - 3)*(j - 1)*(j + 22)/5
Solve -2*g**2 + 30*g + 252 = 0.
-6, 21
What is k in 51*k**5/5 - 126*k**4/5 + 48*k**3/5 + 102*k**2/5 - 99*k/5 + 24/5 = 0?
-1, 8/17, 1
Let a**4/4 - 15*a**3/4 - 37*a**2 - 33*a = 0. What is a?
-6, -1, 0, 22
Solve 2*j**3/13 + 552*j**2/13 - 4512*j/13 + 9088/13 = 0 for j.
-284, 4
Factor -2*v**2 - 4508*v - 2540258.
-2*(v + 1127)**2
Let -3*q**4 + 33*q**3 - 72*q**2 - 108*q = 0. Calculate q.
-1, 0, 6
Factor 6*l**2 + 5265*l + 2631.
3*(l + 877)*(2*l + 1)
Find k such that -k**5/6 + k**4/3 + k**3/2 = 0.
-1, 0, 3
Determine s, given that -2*s**4/5 + 4*s**3/5 + 6*s**2/5 = 0.
-1, 0, 3
Factor 3*c**2/5 + 16*c/5 + 1.
(c + 5)*(3*c + 1)/5
Suppose 2*v**2/9 - 136*v/3 + 2312 = 0. Calculate v.
102
Find x, given that 10*x**5/3 + 64*x**4/3 + 48*x**3 + 148*x**2/3 + 70*x/3 + 4 = 0.
-3, -1, -2/5
Let -2*j**2/3 + 8*j + 126 = 0. What is j?
-9, 21
Find d such that 12*d**2