?
-2, 118
Factor -2*k**2 + 3032*k - 1149128.
-2*(k - 758)**2
Factor -20*m**2/9 - 58*m - 52/9.
-2*(m + 26)*(10*m + 1)/9
Factor 2*q**4/9 + 32*q**3/9 + 58*q**2/3 + 40*q + 24.
2*(q + 1)*(q + 3)*(q + 6)**2/9
Find w, given that 147*w**5 + 21987*w**4 + 860277*w**3 + 2836305*w**2 + 1412112*w + 191844 = 0.
-73, -3, -2/7
What is l in -9*l**3 - 1212*l**2 + 2871*l - 822 = 0?
-137, 1/3, 2
Suppose -2*s**3/25 + 512*s**2/25 - 30624*s/25 - 278784/25 = 0. Calculate s.
-8, 132
Factor -5*m**2 + 190*m - 185.
-5*(m - 37)*(m - 1)
Find h such that -13*h**4 + 24*h**3 + 69*h**2 - 68*h - 12 = 0.
-2, -2/13, 1, 3
Let -w**4 - 20*w**3 - 51*w**2 + 4*w + 68 = 0. What is w?
-17, -2, 1
Factor g**2 + 220*g - 221.
(g - 1)*(g + 221)
Factor -a**4/2 - 49*a**3/2 - 261*a**2 + 962*a - 676.
-(a - 2)*(a - 1)*(a + 26)**2/2
Find y such that -3*y**4/4 - 51*y**3 - 777*y**2/4 - 144*y = 0.
-64, -3, -1, 0
What is i in 5*i**4 + 95*i**3 + 415*i**2 + 325*i = 0?
-13, -5, -1, 0
Factor -l**3/2 - 17*l**2/2 + 37*l/2 - 19/2.
-(l - 1)**2*(l + 19)/2
Factor -q**3/2 - 1860*q**2 - 2306400*q - 953312000.
-(q + 1240)**3/2
Factor 5*q**4 + 15*q**3 + 10*q**2.
5*q**2*(q + 1)*(q + 2)
Factor -2*l**3 + 612*l**2 + 1238*l - 1848.
-2*(l - 308)*(l - 1)*(l + 3)
Let 2*c**5/13 - 60*c**4/13 + 266*c**3/13 - 408*c**2/13 + 200*c/13 = 0. What is c?
0, 1, 2, 25
Factor -3*u**2/2 - 300*u - 15000.
-3*(u + 100)**2/2
Factor 2*i**2/5 + 2*i/5 - 24/5.
2*(i - 3)*(i + 4)/5
Suppose n**2/5 + 7*n/5 + 12/5 = 0. What is n?
-4, -3
Factor 4356*d**2/7 - 132*d/7 + 1/7.
(66*d - 1)**2/7
Let -12*q**4 + 105*q**3 + 36*q**2 - 81*q = 0. Calculate q.
-1, 0, 3/4, 9
Factor -k**2/3 - 209*k/3 + 422/3.
-(k - 2)*(k + 211)/3
Factor -2*j**2 - 444*j - 1744.
-2*(j + 4)*(j + 218)
Factor -2*w**2/9 + 298*w/9 - 296/9.
-2*(w - 148)*(w - 1)/9
Let -3*s**2 - 6*s - 3 = 0. Calculate s.
-1
Factor 4*g**2 + 272*g + 268.
4*(g + 1)*(g + 67)
Factor 65*y**2 + 35*y - 30.
5*(y + 1)*(13*y - 6)
Factor -u**5/3 + 3*u**4 + 10*u**3/3.
-u**3*(u - 10)*(u + 1)/3
Suppose -2*r**4/7 + 50*r**3/7 - 90*r**2/7 - 50*r/7 + 92/7 = 0. Calculate r.
-1, 1, 2, 23
Let 35*b**4 - 515*b**3 - 80*b**2 + 10940*b + 3120 = 0. Calculate b.
-4, -2/7, 6, 13
Suppose s**3/5 + 132*s**2/5 + 131*s/5 = 0. What is s?
-131, -1, 0
Determine q, given that 2*q**2 - 158*q - 160 = 0.
-1, 80
Suppose 2*d**2/3 + 14*d/3 + 4 = 0. Calculate d.
-6, -1
Solve 5*l**4/4 + 29*l**3/2 + 39*l**2 - 18*l = 0 for l.
-6, 0, 2/5
Find q such that 2*q**3 + 68*q**2 + 378*q = 0.
-27, -7, 0
Factor -b**5/4 - 5*b**4/4 - 5*b**3/2 - 5*b**2/2 - 5*b/4 - 1/4.
-(b + 1)**5/4
Let -2*p**2 - 576*p - 41472 = 0. Calculate p.
-144
Suppose -12*r**5 - 160*r**4 - 572*r**3 - 456*r**2 + 224*r + 256 = 0. Calculate r.
-8, -4, -1, 2/3
Factor -2*q**2 - 42*q - 220.
-2*(q + 10)*(q + 11)
Let q**2/7 - 340*q/7 - 341/7 = 0. Calculate q.
-1, 341
Factor 5*z**2 + 1965*z + 1960.
5*(z + 1)*(z + 392)
Factor 3*o**3 - 246*o**2 + 5043*o.
3*o*(o - 41)**2
Factor g**2/4 - 5*g/2 + 6.
(g - 6)*(g - 4)/4
Let s**4/5 + 88*s**3/5 + 1548*s**2/5 - 3456*s + 27648/5 = 0. What is s?
-48, 2, 6
Factor 5*h**3 - 1705*h**2 - 6880*h - 6900.
5*(h - 345)*(h + 2)**2
Suppose -i**2/2 - 47*i - 1309/2 = 0. Calculate i.
-77, -17
Factor -2*f**2/15 + 32*f/15.
-2*f*(f - 16)/15
Let 3*t**3 - 6*t**2 - 24*t = 0. What is t?
-2, 0, 4
Find c such that -4*c**3/7 + 4*c**2 - 16*c/7 - 48/7 = 0.
-1, 2, 6
Suppose -3*w**3/8 - 3*w**2/8 + 9*w/4 = 0. What is w?
-3, 0, 2
Let 5*a**4 + 28*a**3 - 445*a**2 + 504*a + 468 = 0. Calculate a.
-13, -3/5, 2, 6
Determine o, given that -4*o**4 + 280*o**3 + 1504*o**2 - 280*o - 1500 = 0.
-5, -1, 1, 75
Find x, given that x**2 + 27*x - 90 = 0.
-30, 3
Factor d**5/6 + 103*d**4/3 + 10813*d**3/6 + 3502*d**2 + 1734*d.
d*(d + 1)**2*(d + 102)**2/6
Determine f so that 3*f**4 + 9*f**3 - 12*f = 0.
-2, 0, 1
Find s, given that 5*s**5 - 40*s**4 + 25*s**3 + 190*s**2 + 120*s = 0.
-1, 0, 4, 6
Find o such that o**3/2 - 43*o**2/2 + 41*o = 0.
0, 2, 41
Solve 3*l**2 - 108 = 0 for l.
-6, 6
Determine b so that -25*b**2 - 30*b - 9 = 0.
-3/5
Solve -5*v**2 + 225*v + 230 = 0 for v.
-1, 46
Factor -3*u**3/7 + 99*u**2/7 - 765*u/7 - 867/7.
-3*(u - 17)**2*(u + 1)/7
Find l, given that 14*l**4/3 + 554*l**3 - 2156*l**2/3 + 160*l = 0.
-120, 0, 2/7, 1
Suppose 4*d**4 + 156*d**3 + 1836*d**2 + 6804*d = 0. Calculate d.
-21, -9, 0
Let -2*a**4/7 + 6*a**3/7 + 1206*a**2/7 + 2386*a/7 + 1188/7 = 0. What is a?
-22, -1, 27
Factor 27*h**2/4 - 9753*h/4 + 1083/2.
3*(h - 361)*(9*h - 2)/4
Factor 2*p**2/7 + 40*p + 1350/7.
2*(p + 5)*(p + 135)/7
Suppose 48*q**2 - 312*q + 507 = 0. What is q?
13/4
Let 6*q**4 - 2*q**3 - 14*q**2 + 2*q + 8 = 0. What is q?
-1, 1, 4/3
Factor -3*w**2 - 1095*w + 1098.
-3*(w - 1)*(w + 366)
Factor -2*y**4 - 2*y**3 + 12*y**2 + 8*y - 16.
-2*(y - 2)*(y - 1)*(y + 2)**2
Let 2*c**4/7 - 10*c**3/7 + 12*c**2/7 = 0. Calculate c.
0, 2, 3
Factor -5*b**5 - 25*b**4 + 30*b**3 + 190*b**2 + 215*b + 75.
-5*(b - 3)*(b + 1)**3*(b + 5)
Factor -2*t**3/17 - 74*t**2/17 + 76*t/17.
-2*t*(t - 1)*(t + 38)/17
Factor -822*l**3/5 - 328*l**2 + 8*l/5.
-2*l*(l + 2)*(411*l - 2)/5
Factor -5*v**2/3 - 175*v/3.
-5*v*(v + 35)/3
Determine y so that 4*y**5/9 + 434*y**4/3 - 218*y**3 + 2*y**2/9 + 218*y/3 = 0.
-327, -1/2, 0, 1
Determine m, given that 2*m**2/5 - 28*m/5 - 352/5 = 0.
-8, 22
Factor 36*g**4 - 1644*g**3 + 1617*g**2 - 402*g.
3*g*(2*g - 1)**2*(3*g - 134)
Factor 2*k**2/5 - 474*k/5.
2*k*(k - 237)/5
Find y such that 25*y**3 + 40*y**2 + 5*y - 10 = 0.
-1, 2/5
Factor -3*f**3/5 - 39*f**2/5 - 66*f/5.
-3*f*(f + 2)*(f + 11)/5
Factor 156*b**3 - 327*b**2 + 30*b.
3*b*(b - 2)*(52*b - 5)
Factor -140*p**4 - 412*p**3 + 24*p**2.
-4*p**2*(p + 3)*(35*p - 2)
What is w in w**4/6 + 50*w**3/3 + 1250*w**2/3 = 0?
-50, 0
Suppose -2*v**3/7 + 10*v**2/7 = 0. Calculate v.
0, 5
Factor -42*s**2 + 94*s - 52.
-2*(s - 1)*(21*s - 26)
Let -l**4/4 + 61*l**3/4 - 1017*l**2/4 + 2639*l/4 - 841/2 = 0. Calculate l.
1, 2, 29
Let -9*l**3 - 26*l**2 + 13*l + 30 = 0. Calculate l.
-3, -1, 10/9
What is v in v**5/4 - 21*v**4/4 + 75*v**3/4 + 361*v**2/4 + 102*v + 36 = 0?
-1, 12
Factor -v**3/4 + 3*v**2/2 - 9*v/4.
-v*(v - 3)**2/4
Factor 3*s**3 + 210*s**2 - 429*s + 216.
3*(s - 1)**2*(s + 72)
Factor 2*j**4 + 18*j**3 + 46*j**2 + 30*j.
2*j*(j + 1)*(j + 3)*(j + 5)
Find m such that 2*m**3/5 - 2884*m**2/5 + 2882*m/5 = 0.
0, 1, 1441
Factor v**3 - 4*v**2 - v + 4.
(v - 4)*(v - 1)*(v + 1)
Factor 27*l**4 + 81*l**3 - 45*l**2 - 325*l - 250.
(l - 2)*(3*l + 5)**3
Let -4*r**3 - 32*r**2 - 80*r - 64 = 0. What is r?
-4, -2
What is k in 27*k**3/4 - 18*k**2 - 33*k - 12 = 0?
-2/3, 4
Factor 2*b**3 - 12*b**2 + 18*b.
2*b*(b - 3)**2
Determine p so that 2*p**5 + 42*p**4 + 292*p**3 + 644*p**2 - 294*p - 686 = 0.
-7, -1, 1
What is c in -c**3/4 - 25*c**2/4 + 53*c/4 - 27/4 = 0?
-27, 1
Factor 213*l**4 + 633*l**3 + 621*l**2 + 195*l - 6.
3*(l + 1)**3*(71*l - 2)
Factor -30*j**3 + 185*j**2 - 30*j.
-5*j*(j - 6)*(6*j - 1)
Determine j so that 15*j**4 - 925*j**3 - 1255*j**2 - 315*j = 0.
-1, -1/3, 0, 63
Factor -5*n**2 - 1375*n + 1380.
-5*(n - 1)*(n + 276)
Factor 3*y**2/2 - 360*y + 2133/2.
3*(y - 237)*(y - 3)/2
Factor -l**4 - 7*l**3 + 3*l**2 + 23*l + 14.
-(l - 2)*(l + 1)**2*(l + 7)
Factor -4*v**4 - 8*v**3 + 964*v**2 - 952*v.
-4*v*(v - 14)*(v - 1)*(v + 17)
Determine d so that -2*d**4/3 + 10*d**3/3 - 8*d**2/3 = 0.
0, 1, 4
Determine o so that -4*o**4 - 260*o**3 - 3252*o**2 - 5740*o - 2744 = 0.
-49, -14, -1
Determine j so that -9*j**4/5 + 39*j**3/5 + 9*j**2/5 - 39*j/5 = 0.
-1, 0, 1, 13/3
Determine d so that 5*d**5 - 25*d**4 - 35*d**3 + 385*d**2 - 690*d + 360 = 0.
-4, 1, 2, 3
Let -2*j**5/5 + 36*j**4/5 - 114*j**3/5 - 848*j**2/5 + 2688*j/5 + 9216/5 = 0. Calculate j.
-3, 8
Determine r, given that -4*r**5 - 92*r**4 - 512*r**3 - 352*r**2 + 2112*r + 2880 = 0.
-15, -6, -2, 2
Factor v**4/5 - 24*v**3/5 + 88*v**2/5 + 672*v/5 + 784/5.
(v - 14)**2*(v + 2)**2/5
Factor -10*b**3/3 + 176*b**2/3 + 24*b.
-2*b*(b - 18)*(5*b + 2)/3
Let g**4/12 - 35*g**3/3 + 552*g**2 - 27508*g/3 + 48668/3 = 0. Calculate g.
2, 46
Suppose -7*m**5/3 - 10*m**4 - 43*m**3/3 - 8*m**2 - 4*m/3 = 0. Calculate m.
-2, -1, -2/7, 0
Find o such that -o**5/4 - 13*o**4/4 + 31*o**3/4 + 13*o**2/4 - 15*o/2 = 0.
-15, -1, 0, 1, 2
Factor -2*f**2 - 42*f - 160.
-2*(f + 5)*(f + 16)
Solve -2*h**3/5 - 16*h**2/5 - 34*h/5 - 4 = 0 for h.
-5, -2, -1
Solve -3*x**5/5 - 12*x**4/5 - 3*x**3 - 6*x**2/5 = 0 for x.
-2, -1, 0
Let -3*n**4 - 186*n**3 - 2484