 636*l**4 + 34338*l**3 + 66780*l**2 + 33075*l = 0. What is l?
-105, -1, 0
Let v**3/8 + 27*v**2/4 - 603*v/8 - 567/2 = 0. Calculate v.
-63, -3, 12
Find q such that 2*q**3 - 26*q**2 + 64*q - 40 = 0.
1, 2, 10
Find q such that -3*q**3 - 351*q**2 + 714*q = 0.
-119, 0, 2
Determine t so that -t**3 - 64*t**2 - 183*t = 0.
-61, -3, 0
Suppose 5*q**3 - 75*q**2 - 2160*q - 9920 = 0. Calculate q.
-8, 31
Factor f**2/5 - 14*f/5 - 87.
(f - 29)*(f + 15)/5
Let g**3/8 + g**2/2 + g/2 = 0. Calculate g.
-2, 0
Factor 4*n**2 + 81632*n + 416486464.
4*(n + 10204)**2
Factor -18*p**3 - 50*p**2 + 192*p - 40.
-2*(p - 2)*(p + 5)*(9*p - 2)
Factor -2*k**4/15 + 2*k**3/15 + 2*k**2/15 - 2*k/15.
-2*k*(k - 1)**2*(k + 1)/15
What is l in l**4/5 + 12*l**3/5 + l**2 - 66*l/5 = 0?
-11, -3, 0, 2
Factor -2*v**2 - 1194*v.
-2*v*(v + 597)
Let 3*a**5 + 15*a**4 - 78*a**3 - 12*a**2 + 264*a - 192 = 0. Calculate a.
-8, -2, 1, 2
Factor 3*n**3/5 + 54*n**2/5 + 141*n/5 + 18.
3*(n + 1)*(n + 2)*(n + 15)/5
Solve 2*n**4/17 + 356*n**3/17 - 728*n**2/17 - 1424*n/17 + 2880/17 = 0.
-180, -2, 2
Let f**5/5 - 9*f**4/5 + 32*f**3/5 - 56*f**2/5 + 48*f/5 - 16/5 = 0. What is f?
1, 2
Find z, given that 3*z**3/8 - 39*z**2/8 + 141*z/8 - 105/8 = 0.
1, 5, 7
Find r such that r**5/4 + 3*r**4/4 + r**3/2 - r**2/2 - 3*r/4 - 1/4 = 0.
-1, 1
Factor -o**3 + 195*o**2 + 1206*o.
-o*(o - 201)*(o + 6)
Factor z**4/5 + 14*z**3/5 + 36*z**2/5 + 34*z/5 + 11/5.
(z + 1)**3*(z + 11)/5
Determine r, given that -r**4/3 - 127*r**3/3 - 1322*r**2 + 4352*r/3 + 8192/3 = 0.
-64, -1, 2
Factor 2*g**2/15 + 166*g/15 - 68/3.
2*(g - 2)*(g + 85)/15
Factor -340*n**2 - 684*n - 8.
-4*(n + 2)*(85*n + 1)
Find m, given that 5*m**3/4 + 95*m**2/4 + 125*m/2 + 40 = 0.
-16, -2, -1
Suppose o**5/4 - 37*o**4/4 - 79*o**3/2 - 121*o**2/2 - 163*o/4 - 41/4 = 0. What is o?
-1, 41
Suppose -5*t**2 - 160*t = 0. What is t?
-32, 0
Find a such that -a**3/3 - 20*a**2 - 773*a/3 - 238 = 0.
-42, -17, -1
Suppose 2*q**4 + 204*q**3 - 1054*q**2 + 1704*q - 856 = 0. What is q?
-107, 1, 2
Solve -3*y**4 + 99*y**3 + 234*y**2 - 840*y = 0 for y.
-4, 0, 2, 35
Factor -4*b**5 - 44*b**4 - 108*b**3 - 100*b**2 - 32*b.
-4*b*(b + 1)**3*(b + 8)
Factor g**2 + g.
g*(g + 1)
Solve -2*i**2/3 + 140*i/3 - 46 = 0 for i.
1, 69
Determine y so that 2*y**3 + 108*y**2 - 1230*y + 3200 = 0.
-64, 5
Let d**3/2 + 18*d**2 + 66*d + 64 = 0. Calculate d.
-32, -2
Solve -2*c**5/3 - 6*c**4 + 2*c**3 + 58*c**2/3 + 12*c = 0 for c.
-9, -1, 0, 2
Suppose 20*y**2 - 75*y + 45 = 0. What is y?
3/4, 3
Let -625*z**5 + 44250*z**4 + 99325*z**3 + 76310*z**2 + 24780*z + 2920 = 0. Calculate z.
-1, -2/5, 73
Factor 5*m**2 + 160*m + 960.
5*(m + 8)*(m + 24)
Factor 3*r**2 - 402*r + 13467.
3*(r - 67)**2
Let -7*n**4/11 - 18*n**3/11 + 75*n**2/11 - 50*n/11 = 0. What is n?
-5, 0, 1, 10/7
Solve -7*q**5/2 - 29*q**4 + 41*q**3 + 182*q**2 + 285*q/2 + 27 = 0.
-9, -1, -2/7, 3
Factor o**2/7 + 48*o/7 - 513/7.
(o - 9)*(o + 57)/7
Let a**5/2 + 107*a**4/2 - 109*a**3/2 - 107*a**2/2 + 54*a = 0. What is a?
-108, -1, 0, 1
Determine s so that -2*s**4/15 - 44*s**3/15 + 152*s**2/15 + 44*s/15 - 10 = 0.
-25, -1, 1, 3
Suppose 16*o**4/5 + 1108*o**3/5 + 1332*o**2/5 - 1912*o/5 - 544/5 = 0. Calculate o.
-68, -2, -1/4, 1
Solve q**5/7 + 11*q**4/7 - 65*q**3/7 - 75*q**2/7 = 0 for q.
-15, -1, 0, 5
Find c, given that c**5/8 - 9*c**4/8 - 3*c**3/8 + 25*c**2/8 + 9*c/4 = 0.
-1, 0, 2, 9
Factor -r**3/11 + 2372*r**2/11 - 1406596*r/11.
-r*(r - 1186)**2/11
Let -7*u**3/8 + 37*u**2/4 + 37*u/8 - 11/2 = 0. What is u?
-1, 4/7, 11
Find t, given that 3*t**4/7 + 3*t**3/7 - 3*t**2 - 39*t/7 - 18/7 = 0.
-2, -1, 3
Suppose -59*i**2/5 - 13*i - 6/5 = 0. What is i?
-1, -6/59
Factor 3*h**5/4 + 207*h**4/4 + 384*h**3 + 1122*h**2 + 1476*h + 732.
3*(h + 2)**4*(h + 61)/4
Find v such that -2*v**3 + 118*v**2 + 2220*v = 0.
-15, 0, 74
Let -6*y**2 + 1226*y + 820 = 0. What is y?
-2/3, 205
Find f, given that 4*f**5 + 148*f**4 - 156*f**3 - 148*f**2 + 152*f = 0.
-38, -1, 0, 1
Determine v, given that -v**2 + 190*v - 1104 = 0.
6, 184
Suppose -2*g**2/3 - 220*g/3 - 144 = 0. What is g?
-108, -2
Factor -p**3 - 140*p**2 + 429*p.
-p*(p - 3)*(p + 143)
What is r in -r**3 - 33*r**2/2 - 90*r - 325/2 = 0?
-13/2, -5
Factor 21*k**3/5 + 9*k**2/5 - 12*k/5.
3*k*(k + 1)*(7*k - 4)/5
Let -2*o**5/13 + 302*o**4/13 - 10934*o**3/13 - 35566*o**2/13 - 1232*o/13 + 47432/13 = 0. Calculate o.
-2, 1, 77
Find w, given that -w**4/8 + 23*w**3/8 - 17*w**2/8 - 107*w/8 - 33/4 = 0.
-1, 3, 22
Find n such that 2*n**2/5 + 736*n/5 - 296 = 0.
-370, 2
Factor -3*g**4/2 - 6*g**3 - 9*g**2/2.
-3*g**2*(g + 1)*(g + 3)/2
Let -5*i**5 + 40*i**4 - 105*i**3 + 90*i**2 = 0. What is i?
0, 2, 3
Solve -2*c**2/5 + 1286*c/5 - 1284/5 = 0 for c.
1, 642
Factor -2*n**2/9 - 9680*n/9 - 11712800/9.
-2*(n + 2420)**2/9
Solve -15*f**2 - 756*f - 300 = 0.
-50, -2/5
Suppose 10*k**3/7 - 778*k**2 - 13120*k/7 - 4376/7 = 0. What is k?
-2, -2/5, 547
Factor z**2 + 75*z + 350.
(z + 5)*(z + 70)
Suppose -n**4/4 - 13*n**3/2 - 141*n**2/4 + 91*n - 49 = 0. What is n?
-14, 1
Factor 2*z**3/7 - 6*z/7 + 4/7.
2*(z - 1)**2*(z + 2)/7
Factor -2*u**3 - 6*u**2 + 8.
-2*(u - 1)*(u + 2)**2
Factor -5*g**3/2 + 40*g**2 - 195*g/2.
-5*g*(g - 13)*(g - 3)/2
Let -3*n**2/7 + 1076*n/7 + 359/7 = 0. What is n?
-1/3, 359
Factor -4*r**2 + 536*r - 7956.
-4*(r - 117)*(r - 17)
Factor 2*o**2/5 + 274*o/5 - 276/5.
2*(o - 1)*(o + 138)/5
Suppose 2*x**5/7 + 160*x**4/7 + 620*x**3/7 + 920*x**2/7 + 610*x/7 + 152/7 = 0. What is x?
-76, -1
Solve -g**4/2 - g**3/3 + 16*g**2/3 + 3*g - 15/2 = 0.
-3, -5/3, 1, 3
What is v in -2*v**2/11 + 1856*v/11 - 430592/11 = 0?
464
Determine o, given that 2*o**2/11 + 120*o/11 + 232/11 = 0.
-58, -2
Factor -y**2 - 1006*y - 253009.
-(y + 503)**2
What is r in -r**4/3 - 29*r**3/3 - 23*r**2/3 + 137*r/3 - 28 = 0?
-28, -3, 1
Factor 5*t**3/2 - 25*t**2/2.
5*t**2*(t - 5)/2
What is d in 5*d**4 + 1125*d**3 - 2270*d**2 = 0?
-227, 0, 2
Find g, given that -g**4/4 + 65*g**3/2 - 825*g**2 + 7750*g - 25000 = 0.
10, 100
Factor x**2/8 - 99*x/2 + 9801/2.
(x - 198)**2/8
What is y in 5*y**2 - 130*y - 2280 = 0?
-12, 38
Solve -2*w**5/19 + 58*w**4/19 - 440*w**3/19 + 384*w**2/19 = 0.
0, 1, 12, 16
Factor 2*d**4/15 + 2792*d**3/15 + 487204*d**2/5 + 340068392*d/15 + 29670967202/15.
2*(d + 349)**4/15
Solve 2*w**5 + 584*w**4/3 + 4064*w**3/3 + 3148*w**2 + 2526*w + 540 = 0 for w.
-90, -3, -1, -1/3
Find l, given that -3*l**4 + 21*l**3 + 51*l**2 - 189*l - 216 = 0.
-3, -1, 3, 8
Factor -o**4 - 104*o**3 - 4056*o**2 - 70304*o - 456976.
-(o + 26)**4
Factor -10*j**4 - 355*j**3 - 175*j**2.
-5*j**2*(j + 35)*(2*j + 1)
Factor -3*g**3 - 3*g**2 + 630*g.
-3*g*(g - 14)*(g + 15)
Find v, given that 9*v**5/2 - 179*v**4/4 + 247*v**3/2 - 101*v**2 - 6*v = 0.
-1/18, 0, 2, 6
Factor 4*z**3 + 108*z**2 + 780*z + 676.
4*(z + 1)*(z + 13)**2
Let 3*k**5 + 15*k**4 - 3*k**3 - 123*k**2 - 216*k - 108 = 0. Calculate k.
-3, -2, -1, 3
Factor 6*j**3/5 + 48*j**2/5 - 18*j - 324/5.
6*(j - 3)*(j + 2)*(j + 9)/5
Find o such that -o**4/5 - 2*o**3 + 43*o**2/5 + 52*o/5 = 0.
-13, -1, 0, 4
Solve d**4/5 - 2*d**3 + d**2 + 8*d - 36/5 = 0.
-2, 1, 2, 9
Suppose 5*g**5 - 1740*g**4 - 5*g**3 + 1740*g**2 = 0. What is g?
-1, 0, 1, 348
Solve 4*b**3/7 - 15*b**2/7 - 52*b/7 - 12/7 = 0 for b.
-2, -1/4, 6
Factor 2*u**2/13 + 38*u/13 - 300/13.
2*(u - 6)*(u + 25)/13
Find s such that s**3 - 330*s**2 + 657*s - 328 = 0.
1, 328
Factor 21*z**4 - 87*z**3/4 + 9*z**2/2.
3*z**2*(4*z - 3)*(7*z - 2)/4
Let -64*v**3/3 + 7328*v**2/3 + 3676*v/3 + 460/3 = 0. Calculate v.
-1/4, 115
Factor -3*h**4 - 270*h**3 - 792*h**2 - 786*h - 261.
-3*(h + 1)**3*(h + 87)
Factor y**4/9 + y**3 - 11*y**2/9 - y + 10/9.
(y - 1)**2*(y + 1)*(y + 10)/9
Determine f so that -f**5/4 + 3*f**3/4 + f**2/2 = 0.
-1, 0, 2
Let 3*b**5 + 1449*b**4 + 174237*b**3 - 177141*b**2 - 174240*b + 175692 = 0. Calculate b.
-242, -1, 1
Solve f**3/2 - 5*f**2/2 + 2*f = 0.
0, 1, 4
Factor a**3/11 - 95*a**2/11.
a**2*(a - 95)/11
Factor 4*m**2 + 480*m + 14400.
4*(m + 60)**2
Factor -12*d**4 - 4*d**3 + 8*d**2.
-4*d**2*(d + 1)*(3*d - 2)
Solve -2*y**3/7 - 48*y**2/7 - 198*y/7 - 152/7 = 0 for y.
-19, -4, -1
Determine f, given that 5*f**5/6 + 241*f**4/6 - 901*f**3/3 + 1855*f**2/3 - 553*f/2 - 165/2 = 0.
-55, -1/5, 1, 3
Let 3*a**4 - 9*a**2 + 6*a = 0. Calculate a.
-2, 0, 1
Factor 2*y**2/5 - 152*y/5 + 2888/5.
2*(y - 38)**2/5
Suppose 3*l**3/8 + 3*l**2/4 - 123*l/8 - 63/4 = 0. Calculate l.
-7, -1, 6
Factor -s**3/4