- 336*d**2 - 144*d.
-4*d*(d + 1)**2*(d + 6)**2
Factor 4*q**3 + 8*q**2.
4*q**2*(q + 2)
Factor 81*z**4 - 5139*z**3 - 8258*z**2 + 4428*z - 520.
(z - 65)*(z + 2)*(9*z - 2)**2
Let 5*i**5/6 - 175*i**4/6 + 1115*i**3/6 + 1475*i**2/6 - 560*i/3 - 650/3 = 0. What is i?
-1, 1, 10, 26
Factor 4*u**3 + 207*u**2 + 716*u - 192.
(u + 4)*(u + 48)*(4*u - 1)
Find s such that 6*s**2 - 633*s + 315 = 0.
1/2, 105
Factor -3*m**4/4 - 33*m**3 - 420*m**2 - 1200*m.
-3*m*(m + 4)*(m + 20)**2/4
What is l in l**2/2 - 377*l/2 = 0?
0, 377
Factor 3*v**2/2 - 7801*v/2 + 1300.
(v - 2600)*(3*v - 1)/2
Factor -2*c**2 - 478*c.
-2*c*(c + 239)
Let 2*x**4 - 164*x**3 + 322*x**2 - 160*x = 0. What is x?
0, 1, 80
Factor -5*y**2 - 3210*y + 3215.
-5*(y - 1)*(y + 643)
Determine n so that 2*n**3 + 1516*n**2 + 3026*n + 1512 = 0.
-756, -1
Factor -p**4 + 5*p**3 + 11*p**2 - 33*p + 18.
-(p - 6)*(p - 1)**2*(p + 3)
Factor 2*a**4/21 + 2*a**3/21 - 52*a**2/21 + 16*a/7.
2*a*(a - 4)*(a - 1)*(a + 6)/21
Factor 27*y**3 + 90*y**2 - 69*y + 12.
3*(y + 4)*(3*y - 1)**2
Solve 33*z**2 + 435*z + 78 = 0 for z.
-13, -2/11
Solve 6*a**4/7 + 4*a**3/7 - 94*a**2/7 + 12*a = 0 for a.
-14/3, 0, 1, 3
Factor -l**2/5 + 696*l.
-l*(l - 3480)/5
Factor n**2 - 1756*n + 770884.
(n - 878)**2
Factor -5*h**3 + 1300*h**2 - 85785*h + 166410.
-5*(h - 129)**2*(h - 2)
Factor 4*y**4 + 92*y**3 - 328*y**2 - 416*y.
4*y*(y - 4)*(y + 1)*(y + 26)
Let t**5/3 - 8*t**4 = 0. What is t?
0, 24
Factor -4*f**3 - 12*f**2 + 132*f + 140.
-4*(f - 5)*(f + 1)*(f + 7)
Factor 3*u**3/7 + 6*u**2/7 - 9*u + 54/7.
3*(u - 3)*(u - 1)*(u + 6)/7
Suppose 2*u**5/7 + 38*u**4/7 + 12*u**3/7 - 424*u**2/7 + 176*u/7 + 576/7 = 0. Calculate u.
-18, -4, -1, 2
Solve 4*k**4/7 + 4*k**3 + 48*k**2/7 = 0 for k.
-4, -3, 0
Factor s**5/4 - 5*s**4/4 - s**3/4 + 5*s**2/4.
s**2*(s - 5)*(s - 1)*(s + 1)/4
Determine k, given that -k**2 - 29*k + 170 = 0.
-34, 5
What is h in -27*h**2 + 546*h - 120 = 0?
2/9, 20
Factor -3*s**3 + 7722*s**2 - 6625476*s + 1894886136.
-3*(s - 858)**3
Factor 2*l**3/7 - 28*l**2 - 1458*l/7 - 180.
2*(l - 105)*(l + 1)*(l + 6)/7
Solve -4*h**5/7 - 408*h**4/7 - 1188*h**3/7 + 16*h**2/7 + 1584*h/7 = 0.
-99, -2, 0, 1
Find i such that 135*i**3 + 1350*i**2 + 4500*i + 5000 = 0.
-10/3
Determine c, given that -c**3 - 11*c**2 - 8*c + 20 = 0.
-10, -2, 1
Determine w, given that -3*w**3 + 90*w**2 - 312*w = 0.
0, 4, 26
Let u**5/6 - 709*u**4 + 4519873*u**3/6 + 1508752*u**2 + 2264192*u/3 = 0. Calculate u.
-1, 0, 2128
Factor -5*y**4 - 45*y**3 - 135*y**2 - 155*y - 60.
-5*(y + 1)**2*(y + 3)*(y + 4)
Find r, given that r**2/2 - 193*r + 384 = 0.
2, 384
Let 2*f**2/17 - 84*f/17 + 234/17 = 0. Calculate f.
3, 39
Suppose -y**4/12 - 7*y**3/3 + 47*y**2/6 + 7*y/3 - 31/4 = 0. What is y?
-31, -1, 1, 3
What is n in -4*n**2 - 58200*n - 211702500 = 0?
-7275
Factor -5*d**2/4 + 461*d/2 + 555/4.
-(d - 185)*(5*d + 3)/4
Let 5*n**2/3 + 440*n/3 + 9680/3 = 0. Calculate n.
-44
Factor u**3 + 10*u**2 + 17*u + 8.
(u + 1)**2*(u + 8)
Factor -2*x**4 - 56*x**3 - 200*x**2 - 192*x.
-2*x*(x + 2)**2*(x + 24)
Factor 3*x**3 - 3*x**2 - 48*x + 48.
3*(x - 4)*(x - 1)*(x + 4)
Find l such that -27*l**3 - 60*l**2 - 12*l = 0.
-2, -2/9, 0
Determine m, given that -27*m**5/5 - 13653*m**4/5 + 18267*m**3/5 + 7569*m**2/5 - 3648*m + 6084/5 = 0.
-507, -1, 2/3, 1
Factor -2*n**2/3 + 4372*n/3 - 2389298/3.
-2*(n - 1093)**2/3
Factor r**2/5 - 492*r/5 + 60516/5.
(r - 246)**2/5
Factor 3*j**3 - 522*j**2 - 3213*j - 4860.
3*(j - 180)*(j + 3)**2
Suppose -2*p**4 + 14*p**3 + 122*p**2 - 14*p - 120 = 0. Calculate p.
-5, -1, 1, 12
Solve 4*j**2/5 - 712*j/5 + 31684/5 = 0.
89
Let -5*l**4 - 215*l**3 + 915*l**2 - 1165*l + 470 = 0. Calculate l.
-47, 1, 2
Factor 125*i**4/3 + 3050*i**3/3 + 21905*i**2/3 + 13420*i + 7260.
5*(i + 11)**2*(5*i + 6)**2/3
Factor -4*d**3/7 - 1740*d**2/7 - 252300*d/7 - 12194500/7.
-4*(d + 145)**3/7
Factor 2*r**2/5 - 242*r/5 + 232.
2*(r - 116)*(r - 5)/5
Factor -2*l**2/5 - 16*l/5 + 66/5.
-2*(l - 3)*(l + 11)/5
Factor -i**3 + 5*i**2 - 2*i - 8.
-(i - 4)*(i - 2)*(i + 1)
What is j in -3*j**3 - 15*j**2 + 12*j + 60 = 0?
-5, -2, 2
What is t in t**3/2 + 21*t**2 - 133*t/2 + 45 = 0?
-45, 1, 2
Factor 4*q**5 - 16*q**4 - 44*q**3 - 24*q**2.
4*q**2*(q - 6)*(q + 1)**2
Suppose 2*q**4/5 + 192*q**3/5 + 374*q**2/5 - 192*q/5 - 376/5 = 0. What is q?
-94, -2, -1, 1
Factor -2*b**2/3 + 28*b/3 + 10.
-2*(b - 15)*(b + 1)/3
Factor i**3/3 - 14*i**2 - 45*i.
i*(i - 45)*(i + 3)/3
Factor -2*q**3/3 - 158*q**2/3 - 202*q - 150.
-2*(q + 1)*(q + 3)*(q + 75)/3
Factor 5*b**4 - 780*b**3 - 15*b**2 + 2330*b + 1560.
5*(b - 156)*(b - 2)*(b + 1)**2
Factor 4*w**2/7 - 976*w/7.
4*w*(w - 244)/7
Suppose 4*t**3 + 134*t**2/3 + 440*t/3 + 350/3 = 0. What is t?
-5, -7/6
Suppose -2*j**2/7 + 86*j/7 - 12 = 0. What is j?
1, 42
Solve -4*f**3 - 492*f**2 - 956*f + 1452 = 0.
-121, -3, 1
Factor 4*t**3 + 800*t**2 + 36608*t - 346112.
4*(t - 8)*(t + 104)**2
Determine v so that 24*v**2/7 - 297*v/7 + 108/7 = 0.
3/8, 12
Let k**5 - 23*k**4 - 8*k**3 + 184*k**2 + 16*k - 368 = 0. What is k?
-2, 2, 23
Solve 20*n**2 - 4*n = 0.
0, 1/5
Let 8*w**3 + 106*w**2 + 208*w + 110 = 0. What is w?
-11, -5/4, -1
Suppose -2*y**2 + 890*y = 0. Calculate y.
0, 445
Factor p**2/3 + 193*p/3 + 434.
(p + 7)*(p + 186)/3
Factor -i**3/2 + 233*i**2 - 925*i/2 - 696.
-(i - 464)*(i - 3)*(i + 1)/2
Factor -4*m**3/5 + 48*m**2/5 + 212*m - 1104/5.
-4*(m - 23)*(m - 1)*(m + 12)/5
Factor -5*c**3 + 465*c**2 - 1800*c + 1780.
-5*(c - 89)*(c - 2)**2
Solve 4*v**4 + 60*v**3 + 100*v**2 - 60*v - 104 = 0 for v.
-13, -2, -1, 1
Solve 2*c**3 - 40*c**2 + 122*c + 420 = 0 for c.
-2, 7, 15
Factor -3*x**2 - 3973*x - 1324.
-(x + 1324)*(3*x + 1)
Determine d so that 8*d**3/5 - 2*d**2/5 - 8*d/5 + 2/5 = 0.
-1, 1/4, 1
Determine l so that l**2 + 99*l = 0.
-99, 0
Factor -2*s**4/13 + 314*s**3/13 - 1232*s**2/13 + 1224*s/13.
-2*s*(s - 153)*(s - 2)**2/13
Factor w**4/4 + 29*w**3/2 + 753*w**2/4 + 587*w + 533.
(w + 2)**2*(w + 13)*(w + 41)/4
Factor -9*g**3 - 51*g**2 - 31*g - 5.
-(g + 5)*(3*g + 1)**2
Determine b, given that 45*b**2/4 + 1600*b + 355 = 0.
-142, -2/9
Factor 5*y**5 + 30*y**4 - 15*y**3 - 80*y**2 + 60*y.
5*y*(y - 1)**2*(y + 2)*(y + 6)
Determine y, given that 3*y**4 - 5214*y**3 + 2265483*y**2 = 0.
0, 869
Factor -m**3 + 47*m**2 - 91*m + 45.
-(m - 45)*(m - 1)**2
Find g, given that 3*g**5/2 + 45*g**4/2 - 159*g**3 - 3777*g**2 - 30789*g/2 - 23595/2 = 0.
-11, -5, -1, 13
Factor 4*h**2 - 68*h - 1080.
4*(h - 27)*(h + 10)
Factor 14*l**3/11 + 568*l**2 + 1784*l/11.
2*l*(l + 446)*(7*l + 2)/11
Determine w, given that 2*w**5/7 - 94*w**4/7 - 4*w**3/7 + 188*w**2/7 + 2*w/7 - 94/7 = 0.
-1, 1, 47
Find z such that -5*z**2 + 1125*z - 4420 = 0.
4, 221
Factor 339*t**2 + 675*t - 6.
3*(t + 2)*(113*t - 1)
Let -5*t**5 + 60*t**4 + 80*t**3 - 170*t**2 - 315*t - 130 = 0. What is t?
-1, 2, 13
Find i, given that -4*i**3 - 80*i**2 - 428*i - 352 = 0.
-11, -8, -1
Determine s so that -s**3/3 + 4*s + 16/3 = 0.
-2, 4
Suppose 3*i**3 - 255*i**2 - 258*i = 0. What is i?
-1, 0, 86
Factor 4*l**4 - 1244*l**3 + 4932*l**2 - 6148*l + 2456.
4*(l - 307)*(l - 2)*(l - 1)**2
Factor 3*h**5 + 24*h**4 + 48*h**3.
3*h**3*(h + 4)**2
What is o in -2*o**3/17 - 82*o**2/17 + 352*o/17 - 360/17 = 0?
-45, 2
Solve -d**4/3 - 29*d**3/3 - 83*d**2 - 491*d/3 + 770/3 = 0.
-14, -11, -5, 1
Determine a, given that a**4 - 37*a**3 - 81*a**2 + 117*a = 0.
-3, 0, 1, 39
Find g, given that -3*g**3 - 138*g**2 - 1860*g - 7800 = 0.
-26, -10
Factor -245*f**5 + 7630*f**4 - 63605*f**3 + 65400*f**2 - 18000*f.
-5*f*(f - 15)**2*(7*f - 4)**2
Suppose 3*k**3 + 6*k**2 - 15*k - 18 = 0. Calculate k.
-3, -1, 2
Determine d, given that 2*d**5/3 + 2*d**4/3 - 2*d**3 - 2*d**2/3 + 4*d/3 = 0.
-2, -1, 0, 1
Factor j**4 - 6*j**3 + 9*j**2.
j**2*(j - 3)**2
What is h in -h**2/5 - 511*h/5 - 1018/5 = 0?
-509, -2
Suppose -3*g**3 + 6*g**2 + 3*g - 6 = 0. Calculate g.
-1, 1, 2
Factor 2*b**3/5 - 14*b/5 + 12/5.
2*(b - 2)*(b - 1)*(b + 3)/5
Let -3*x**4/2 + 3*x**3 + 39*x**2/2 - 21*x - 36 = 0. Calculate x.
-3, -1, 2, 4
Factor 3*w**2/2 - 477*w/2.
3*w*(w - 159)/2
Find z such that z**2/5 - 264*z/5 + 17424/5 = 0.
132
Determine v so that -5597956*v**4/3 + 1022112*v**3 - 382048*v**2/3 - 3456*v - 64/3 = 0.
-2/169, 2/7
Let 3*d**2/5 + 1158*d/5 + 2475 = 0. What is d?
-375, -11
What is c in 12*c**5 + 171*c**4 + 726*c**3 + 603*c**2 - 1188*c - 324 = 0?
-6, -3, -1/4, 1
Factor u**2/3 - 2188*u/3 + 1196836/3.
(u - 1094)**2/3
Let -y*