- 1020*f**2 = 0 for f.
0, 255
Factor -4*j**3 - 276*j**2 - 4896*j - 4624.
-4*(j + 1)*(j + 34)**2
Find f such that 2*f**2/7 + 36*f/7 - 38/7 = 0.
-19, 1
Factor 1260*b**2 - 2872*b + 160.
4*(9*b - 20)*(35*b - 2)
Factor -2*r**3/15 - 8*r**2/5 - 6*r/5 + 44/15.
-2*(r - 1)*(r + 2)*(r + 11)/15
Factor -2*y**3/17 + 22*y**2/17 - 70*y/17 + 50/17.
-2*(y - 5)**2*(y - 1)/17
Factor v**3 + 47*v**2/3 + 60*v + 100/3.
(v + 5)*(v + 10)*(3*v + 2)/3
Solve -2*k**3/15 - 348*k**2/5 - 46102*k/5 - 536648/15 = 0 for k.
-259, -4
Solve -y**5/3 - 3*y**4 - 2*y**3 + 16*y**2/3 = 0 for y.
-8, -2, 0, 1
Determine q so that 2*q**5 + 182*q**4/3 + 1532*q**3/3 + 584*q**2 - 6608*q/3 + 3136/3 = 0.
-14, -4, 2/3, 1
Factor 4*v**4/5 + 212*v**3/5 + 40*v**2 - 416*v/5.
4*v*(v - 1)*(v + 2)*(v + 52)/5
Let 14*p**4/5 - 39*p**3/5 - 149*p**2/5 - 6*p = 0. What is p?
-2, -3/14, 0, 5
Factor 4*l**2/5 + 248*l/5 + 3844/5.
4*(l + 31)**2/5
Suppose 25*o**3 - 45*o**2 - 10*o = 0. Calculate o.
-1/5, 0, 2
Solve y**5 + 12*y**4 - 85*y**3 - 340*y**2 - 36*y + 448 = 0.
-16, -2, 1, 7
Factor -k**2/6 + 31*k/3.
-k*(k - 62)/6
Solve -3*c**5 + 15*c**4 + 36*c**3 - 240*c**2 + 192*c = 0 for c.
-4, 0, 1, 4
Factor -a**5/3 + 2*a**4 - 5*a**3/3.
-a**3*(a - 5)*(a - 1)/3
Suppose -5*a**3 + 70*a**2 - 300*a + 360 = 0. Calculate a.
2, 6
Factor 2*g**3 - 36*g**2 + 118*g - 84.
2*(g - 14)*(g - 3)*(g - 1)
Factor o**2/3 - 58*o - 352/3.
(o - 176)*(o + 2)/3
Let -3*t**4/7 - 12*t**3/7 - 3*t**2/7 + 18*t/7 = 0. What is t?
-3, -2, 0, 1
Suppose -2*g**5/17 + 8*g**4/17 + 62*g**3/17 - 188*g**2/17 - 240*g/17 = 0. Calculate g.
-5, -1, 0, 4, 6
Factor 15*k**3 + 115*k**2 - 640*k + 700.
5*(k - 2)**2*(3*k + 35)
Factor -2*u**2/15 - 368*u/15 + 74/3.
-2*(u - 1)*(u + 185)/15
Find f, given that -5*f**2 + 4330*f - 937445 = 0.
433
Factor -2*x**3/3 - 38*x**2/3 - 66*x - 54.
-2*(x + 1)*(x + 9)**2/3
Let h**5/10 - 7*h**4/2 - 43*h**3/5 + 229*h**2/5 - 523*h/10 + 37/2 = 0. What is h?
-5, 1, 37
Determine d, given that -3*d**5 - 12*d**4 + 60*d**3 + 144*d**2 = 0.
-6, -2, 0, 4
Let 26*k**4 - 1668*k**3 - 1434*k**2 + 260*k = 0. Calculate k.
-1, 0, 2/13, 65
Factor -5*t**2/3 - 10*t + 80/3.
-5*(t - 2)*(t + 8)/3
Find m, given that -2*m**3 + 32*m**2 - 30*m = 0.
0, 1, 15
Factor -g**3/8 + 7*g**2/8 - 5*g/4.
-g*(g - 5)*(g - 2)/8
Determine x, given that -34*x**2 - 72*x - 8 = 0.
-2, -2/17
Factor 2*k**2/3 - 14*k + 60.
2*(k - 15)*(k - 6)/3
Factor 5*s**3 + 125*s**2 + 435*s + 315.
5*(s + 1)*(s + 3)*(s + 21)
Factor 147*a**2 - 504*a + 432.
3*(7*a - 12)**2
Factor 3*z**2 - 72*z - 243.
3*(z - 27)*(z + 3)
Factor -c**3 - 34*c**2 - 385*c - 1452.
-(c + 11)**2*(c + 12)
Let -d**3/7 + 57*d**2/7 + 240*d/7 + 244/7 = 0. What is d?
-2, 61
Factor -j**3 + 227*j**2 - 12768*j - 12996.
-(j - 114)**2*(j + 1)
Factor -2*z**2/11 + 4244*z/11 - 2251442/11.
-2*(z - 1061)**2/11
Find n such that 3*n**4/2 - 3*n**3 + 3*n**2/2 = 0.
0, 1
Factor -w**2/6 - 41*w/6 - 13.
-(w + 2)*(w + 39)/6
Factor -2*s**3/11 + 2*s**2/11 + 8*s/11 - 8/11.
-2*(s - 2)*(s - 1)*(s + 2)/11
Factor 20*z**4 - 275*z**3 + 1155*z**2 - 1440*z + 540.
5*(z - 6)**2*(z - 1)*(4*z - 3)
Factor 4*c**3 - 76*c**2 + 332*c - 260.
4*(c - 13)*(c - 5)*(c - 1)
Find q such that q**5/3 + 8*q**4 + 22*q**3/3 - 8*q**2 - 23*q/3 = 0.
-23, -1, 0, 1
Factor 2*p**5 + 814*p**4 + 110156*p**3 + 4918304*p**2 - 5252864*p - 10061824.
2*(p - 2)*(p + 1)*(p + 136)**3
Factor t**5/4 - 21*t**4/2 + 20*t**3 + t**2/2 - 81*t/4 + 10.
(t - 40)*(t - 1)**3*(t + 1)/4
Determine g so that 2*g**2/5 - 3436*g/5 + 1475762/5 = 0.
859
Factor -3*v**4/7 - 48*v**3/7 + 216*v**2 - 10368*v/7 + 22032/7.
-3*(v - 6)**3*(v + 34)/7
Let -2*h**4 - 26*h**3 - 90*h**2 + 50*h + 500 = 0. Calculate h.
-5, 2
Factor 3*m**2/2 - 27*m/2.
3*m*(m - 9)/2
Let -2*m**3/13 - 4*m**2/13 = 0. What is m?
-2, 0
What is f in 244*f**2 + 1460*f - 24 = 0?
-6, 1/61
Let p**2 + 217*p - 218 = 0. What is p?
-218, 1
Factor 6724*l**4 + 254856*l**3 + 2402452*l**2 - 236208*l + 5776.
4*(l + 19)**2*(41*l - 2)**2
Suppose 13*x**5/4 + 7*x**4 - 35*x**3/4 - 55*x**2/2 - 17*x - 2 = 0. What is x?
-2, -1, -2/13, 2
Solve 35*l**4 + 80*l**3 - 995*l**2 + 1180*l + 420 = 0 for l.
-7, -2/7, 2, 3
Determine h, given that -6*h**5 + 14*h**4 - 6*h**3 - 6*h**2 + 4*h = 0.
-2/3, 0, 1
Factor 12*j**3 + 500*j**2 + 5016*j - 1728.
4*(j + 18)*(j + 24)*(3*j - 1)
Solve 2*f**3 + 108*f**2 = 0.
-54, 0
Let 2*i**5/11 - 12*i**4/11 - 138*i**3/11 + 236*i**2/11 + 936*i/11 - 144 = 0. Calculate i.
-6, -3, 2, 11
Find z such that -20*z**5/3 - 8*z**4 + 16*z**3/3 + 8*z**2 + 4*z/3 = 0.
-1, -1/5, 0, 1
Solve -16*w**2/13 - 246*w/13 - 770/13 = 0.
-11, -35/8
Factor -3*o**4/2 - 27*o**3/2 - 36*o**2 - 24*o.
-3*o*(o + 1)*(o + 4)**2/2
Factor -s**2/2 + 265*s/2 - 263.
-(s - 263)*(s - 2)/2
Determine a so that 395*a**5 - 10*a**4 - 2765*a**3 + 2440*a**2 - 60*a = 0.
-3, 0, 2/79, 1, 2
Let -q**3/9 + 230*q**2/9 - 4484*q/3 + 2888 = 0. What is q?
2, 114
Factor 28*g**3 + 14512*g**2 - 10388*g - 4152.
4*(g - 1)*(g + 519)*(7*g + 2)
Solve -3*r**4 - 513*r**3 + 519*r**2 + 513*r - 516 = 0.
-172, -1, 1
What is m in -4*m**2 + 228*m = 0?
0, 57
Find y, given that -y**3/2 - 17*y**2 - 160*y - 256 = 0.
-16, -2
Solve -51*l**2/4 - 33*l/2 + 117/4 = 0 for l.
-39/17, 1
Factor -3*b**2 - 21*b + 132.
-3*(b - 4)*(b + 11)
Factor -j**4/4 + 3*j**3 - 29*j**2/4 + 9*j/2.
-j*(j - 9)*(j - 2)*(j - 1)/4
Solve -2*x**4/5 + 402*x**3 - 4014*x**2/5 + 2006*x/5 = 0.
0, 1, 1003
What is i in i**4/4 - 2*i**3 - 9*i**2/4 + 18*i = 0?
-3, 0, 3, 8
Solve k**3 - 178*k**2 + 7921*k = 0.
0, 89
Factor 4*m**5 - 52*m**4 + 168*m**3 - 232*m**2 + 148*m - 36.
4*(m - 9)*(m - 1)**4
Suppose -2*b**3/13 + 14*b/13 - 12/13 = 0. Calculate b.
-3, 1, 2
Factor -5*s**2 - 265*s - 260.
-5*(s + 1)*(s + 52)
Suppose h**2/7 - 139*h/7 - 20 = 0. What is h?
-1, 140
Factor 2*p**3/7 + 256*p**2/7 - 794*p/7 - 1048/7.
2*(p - 4)*(p + 1)*(p + 131)/7
Solve -3*t**2/5 + 189*t/5 + 78 = 0 for t.
-2, 65
Solve -3*j**5/7 + 102*j**4/7 - 1203*j**3/7 + 5568*j**2/7 - 7920*j/7 + 3456/7 = 0 for j.
1, 8, 12
Find k such that -2*k**2 + 124*k + 1120 = 0.
-8, 70
Suppose -d**2 - 256*d - 16384 = 0. Calculate d.
-128
Factor -5*g**3 + 225*g**2 + 5*g - 225.
-5*(g - 45)*(g - 1)*(g + 1)
Factor -2*h**2/7 - 88*h/7 - 24.
-2*(h + 2)*(h + 42)/7
Factor 3*w**2 - 240*w + 237.
3*(w - 79)*(w - 1)
Factor -a**2 + 286*a - 3808.
-(a - 272)*(a - 14)
Factor -15*c**2 - 55*c + 20.
-5*(c + 4)*(3*c - 1)
Factor 5*o**2 - 400*o + 8000.
5*(o - 40)**2
Factor 4*i**2 + 668*i - 2736.
4*(i - 4)*(i + 171)
Find z, given that -z**3/4 - 241*z**2/4 = 0.
-241, 0
Solve -175*b**4 - 185*b**3 - 10*b**2 = 0.
-1, -2/35, 0
Suppose 5*h**2 - 5 = 0. What is h?
-1, 1
Determine l, given that l**3 + 42*l**2 + 35*l - 246 = 0.
-41, -3, 2
Factor x**4/3 + 2*x**3/9 - 4*x**2/3 - 2*x - 7/9.
(x + 1)**3*(3*x - 7)/9
Factor -5*i**3 - 100*i**2 - 95*i.
-5*i*(i + 1)*(i + 19)
Find c, given that 4*c**5 + 28*c**4/3 - 24*c**3 - 112*c**2/3 + 32*c = 0.
-3, -2, 0, 2/3, 2
Find c such that -3*c**3/8 + 3*c**2 - 45*c/8 = 0.
0, 3, 5
Solve -2*h**4/9 - 68*h**3/3 - 5594*h**2/9 - 6664*h/3 - 19208/9 = 0.
-49, -2
Factor -p**3 + 67*p**2 + 70*p - 136.
-(p - 68)*(p - 1)*(p + 2)
Factor -6*i**2 - 56*i - 64.
-2*(i + 8)*(3*i + 4)
Suppose -4*v**5/7 + 328*v**4/7 - 312*v**3/7 - 992*v**2/7 + 1628*v/7 - 648/7 = 0. Calculate v.
-2, 1, 81
Factor 3*a**4/4 - 3*a**3 + 9*a**2/4.
3*a**2*(a - 3)*(a - 1)/4
Let -4*b**2 - 2688*b - 451584 = 0. Calculate b.
-336
Find q, given that -2*q**2/15 - 68*q/5 - 1734/5 = 0.
-51
Suppose -279*q**5 + 1248*q**4 - 1887*q**3 + 1074*q**2 - 84*q - 72 = 0. Calculate q.
-6/31, 2/3, 1, 2
Find h such that 5*h**4 - 30*h**3 + 60*h**2 - 40*h = 0.
0, 2
Let u**4/2 + 29*u**3/2 + 14*u**2 = 0. What is u?
-28, -1, 0
Factor -3*f**3 - 261*f**2 + 270*f + 528.
-3*(f - 2)*(f + 1)*(f + 88)
Factor n**2/7 - 23*n/7 + 18.
(n - 14)*(n - 9)/7
Solve i**4/2 + 7*i**3/2 - 4*i**2 = 0.
-8, 0, 1
Let -2*v**3/7 + 164*v**2/7 - 3666*v/7 + 12168/7 = 0. What is v?
4, 39
Determine q so that 3*q**2 + 141*q + 138 = 0.
-46, -1
Factor 5*b**2 + 85*b.
5*b*(b + 17)
Factor -2*a**2 + 398*a + 6420.
-2*(a - 214)*(a + 15)
What is j in -3*j**3/8 + 51*j**2/8 - 189*j/8 - 243/8 = 0?
-1, 9
Factor -n**3/7 - 3*n**2/7 - 2*n/7.
-n*(n + 1)*(n + 2)/7
Factor 4*y**3 + 120*y**2 + 1008*y + 1568.
4*(y + 2)*(y + 14)**2
What is g in 5*g**5 - 95*g**3 + 30*g**2 + 360*g = 0?
-4, -2, 0, 3
Solve 2*c**3/9 - 2*c**2/3 - 4*c = 0.
-3, 0, 6
Find k such that -6*k**3 + 34*k**2 - 44*k + 16 = 0.
2/3, 