 - 258)*(y - 14)
Factor -r**5 + 23*r**4 + 350*r**3 + 852*r**2 - 1224*r.
-r*(r - 34)*(r - 1)*(r + 6)**2
What is v in -v**4 - 3*v**3 + 18*v**2 - 4*v - 24 = 0?
-6, -1, 2
Suppose -2*x**2/7 + 920*x/7 + 922/7 = 0. Calculate x.
-1, 461
Solve 5*u**2/3 + 130*u/3 + 845/3 = 0.
-13
Factor -35*r**5 - 80*r**4 - 55*r**3 - 10*r**2.
-5*r**2*(r + 1)**2*(7*r + 2)
Factor -5*r**3 + 190*r**2 - 1525*r + 3500.
-5*(r - 28)*(r - 5)**2
Determine u so that 14*u**4/3 - 80*u**3/3 - 38*u**2/3 + 416*u/3 + 40 = 0.
-2, -2/7, 3, 5
Factor -4*s**2 + 1848*s - 213444.
-4*(s - 231)**2
Factor 5*a**3 - 30*a**2 - 545*a + 1170.
5*(a - 13)*(a - 2)*(a + 9)
Factor 15*c**4 + 25*c**3 - 20*c**2 - 20*c.
5*c*(c - 1)*(c + 2)*(3*c + 2)
Factor p**4/4 + 37*p**3/4 + 26*p**2 + 17*p.
p*(p + 1)*(p + 2)*(p + 34)/4
Factor 2*c**3/7 + 2944*c**2/7 + 155190*c + 308700.
2*(c + 2)*(c + 735)**2/7
Find j such that 5*j**5 - 2070*j**4 + 214230*j**3 + 6200*j**2 - 638595*j - 428490 = 0.
-1, 2, 207
Factor -i**4 - 53*i**3 - 103*i**2 - 51*i.
-i*(i + 1)**2*(i + 51)
Determine l so that 3*l**2 + 570*l + 27075 = 0.
-95
Factor -2*d**2/7 + 6190*d/7 - 884.
-2*(d - 3094)*(d - 1)/7
Solve -5*d**5 + 45*d**4 - 70*d**3 - 10*d**2 + 75*d - 35 = 0.
-1, 1, 7
Factor 2*f**2/7 + 20*f/7 + 48/7.
2*(f + 4)*(f + 6)/7
Suppose 3*w**3/7 - 18*w**2/7 - 108*w/7 + 648/7 = 0. What is w?
-6, 6
Factor -l**3/7 - 72*l**2/7 - 87*l + 682/7.
-(l - 1)*(l + 11)*(l + 62)/7
Factor 3*d**2/8 - 5235*d/8 - 2619/4.
3*(d - 1746)*(d + 1)/8
Suppose 2*p**2/13 - 3706*p/13 + 3704/13 = 0. Calculate p.
1, 1852
Factor 2*m**3/17 + 20*m**2 - 1046*m/17 - 1384/17.
2*(m - 4)*(m + 1)*(m + 173)/17
Factor -l**3 - l**2 + 21*l + 45.
-(l - 5)*(l + 3)**2
Factor 2*z**4/3 + 8*z**3/3 + 4*z**2/3 - 8*z/3 - 2.
2*(z - 1)*(z + 1)**2*(z + 3)/3
Solve -5*m**4 + 580*m**3 - 22800*m**2 + 317680*m - 548720 = 0.
2, 38
Factor -5*a**2 - 850*a - 36125.
-5*(a + 85)**2
Solve 5*f**2 - 370*f + 6845 = 0.
37
Let -2*p**3/3 + 104*p**2/3 + 214*p/3 + 36 = 0. What is p?
-1, 54
Suppose 4*g**2 - 624*g + 24336 = 0. Calculate g.
78
Factor -62500*b**2 - 6000*b - 144.
-4*(125*b + 6)**2
Let -5*b**3 - 115*b**2 + 380*b - 260 = 0. What is b?
-26, 1, 2
Factor -2*i**3 + 23*i**2/2 - 22*i + 14.
-(i - 2)**2*(4*i - 7)/2
Factor -2*d**4/3 - 12*d**3 - 22*d**2 + 968*d/3.
-2*d*(d - 4)*(d + 11)**2/3
What is n in -n**4 - 32*n**3 + n**2 + 32*n = 0?
-32, -1, 0, 1
Solve -m**4 + 19*m**3 - 18*m**2 = 0 for m.
0, 1, 18
Determine o, given that -o**4/3 + 5*o**3 + o**2/3 - 5*o = 0.
-1, 0, 1, 15
What is n in 10*n**5/3 - 16*n**4 + 4*n**3 + 136*n**2/3 - 2*n - 24 = 0?
-1, 4/5, 3
Find w such that -2*w**2 + 510*w + 3132 = 0.
-6, 261
Factor 2*u**4 - 22*u**3 + 78*u**2 - 98*u + 40.
2*(u - 5)*(u - 4)*(u - 1)**2
Factor 2*v**5 + 6*v**4 - 12*v**3 - 52*v**2 - 54*v - 18.
2*(v - 3)*(v + 1)**3*(v + 3)
Factor -2*t**3 - 26*t**2 - 44*t.
-2*t*(t + 2)*(t + 11)
Let -g**3 - 1668*g**2 - 927408*g - 171879616 = 0. What is g?
-556
Factor -5*i**4 + 30*i**3 - 25*i**2 - 60*i.
-5*i*(i - 4)*(i - 3)*(i + 1)
Solve 9*c**3/7 - 975*c**2/7 - 653*c/7 - 109/7 = 0.
-1/3, 109
Suppose -z**4/4 + z**3/2 + z**2 - 2*z = 0. Calculate z.
-2, 0, 2
Find k, given that -2*k**4/21 - 16*k**3/21 + 22*k**2/21 + 12*k/7 = 0.
-9, -1, 0, 2
Find p such that -2*p**4 - 36*p**3 - 122*p**2 - 144*p - 56 = 0.
-14, -2, -1
Let -100*r**3 - 96*r**2 + 204*r - 8 = 0. Calculate r.
-2, 1/25, 1
Find b such that b**4/5 - 11*b**3/5 + 8*b**2 - 48*b/5 = 0.
0, 3, 4
Factor 243*q**4 - 594*q**3 + 471*q**2 - 132*q + 12.
3*(q - 1)**2*(9*q - 2)**2
Find h such that -h**2 + 37*h - 102 = 0.
3, 34
Factor 5*t**3 - 110*t**2 - 125*t + 230.
5*(t - 23)*(t - 1)*(t + 2)
Find g such that 2*g**3 + 18*g**2 - 194*g - 210 = 0.
-15, -1, 7
Factor 5*x**3 - 50*x**2 + 60*x + 360.
5*(x - 6)**2*(x + 2)
Suppose 3*j**2/4 + 9*j/4 - 15/2 = 0. What is j?
-5, 2
Determine b, given that -10*b**5 + 26*b**4 + 22*b**3 - 26*b**2 - 12*b = 0.
-1, -2/5, 0, 1, 3
Factor 2*h**5 - 12*h**4 - 32*h**3 - 4*h**2 + 30*h + 16.
2*(h - 8)*(h - 1)*(h + 1)**3
Solve -2*w**5/7 - 12*w**4/7 + 104*w**3/7 + 240*w**2/7 = 0 for w.
-10, -2, 0, 6
Solve -3*l**5/4 - 45*l**4/4 + 9*l**3/4 + 777*l**2/4 + 387*l/2 - 378 = 0.
-14, -3, 1, 4
Factor 3*t**2/4 - 177*t/4 - 183/2.
3*(t - 61)*(t + 2)/4
Factor k**4/11 - 58*k**3/11 + 897*k**2/11 - 1624*k/11 + 784/11.
(k - 28)**2*(k - 1)**2/11
Factor 5*z**5 + 5*z**4 - 5*z**3 - 5*z**2.
5*z**2*(z - 1)*(z + 1)**2
Suppose -7*i**3/4 - 793*i**2/4 + 1525*i/2 + 234 = 0. Calculate i.
-117, -2/7, 4
Factor 2*k**4/17 + 218*k**3/17 + 5830*k**2/17 - 6050*k/17.
2*k*(k - 1)*(k + 55)**2/17
Let 4*o**5 + 108*o**4 + 764*o**3 + 244*o**2 - 3120*o - 2704 = 0. Calculate o.
-13, -2, -1, 2
Solve -10*w**4/21 - 176*w**3/21 + 262*w**2/21 - 76*w/21 = 0.
-19, 0, 2/5, 1
Suppose -2*l**3 - 2*l**2 + 10*l - 6 = 0. What is l?
-3, 1
Suppose 2*o**2 + 22*o - 484 = 0. Calculate o.
-22, 11
Let 5*b**4 + 35*b**3 + 25*b**2 - 35*b - 30 = 0. What is b?
-6, -1, 1
Factor -13*u**2 - 115*u + 18.
-(u + 9)*(13*u - 2)
Factor -4*k**4 + 896*k**3 - 51060*k**2 + 98568*k.
-4*k*(k - 111)**2*(k - 2)
Determine g, given that -g**3/3 - 6*g**2 - 35*g - 196/3 = 0.
-7, -4
What is r in -3*r**4 - 30*r**3 - 84*r**2 - 18*r + 135 = 0?
-5, -3, 1
Factor 2*j**2/7 - 22*j/7.
2*j*(j - 11)/7
Factor c**5/4 - 2*c**4 + 9*c**3/2 - 4*c**2 + 5*c/4.
c*(c - 5)*(c - 1)**3/4
Factor 3*j**5 - 6*j**4 - 18*j**3 + 60*j**2 - 57*j + 18.
3*(j - 2)*(j - 1)**3*(j + 3)
Factor -2*f**4/11 - 214*f**3/11 - 420*f**2/11.
-2*f**2*(f + 2)*(f + 105)/11
Factor -v**3 - 9*v**2 + v + 9.
-(v - 1)*(v + 1)*(v + 9)
Factor -2*u**2/7 + 2*u/7.
-2*u*(u - 1)/7
Let -h**3 - 105*h**2 - 3675*h - 42875 = 0. What is h?
-35
Factor -2*r**3/11 + 130*r**2/11 + 266*r/11 + 134/11.
-2*(r - 67)*(r + 1)**2/11
What is i in -4*i**2 - 204*i + 208 = 0?
-52, 1
Factor -2*n**2/7 + 48*n/7.
-2*n*(n - 24)/7
Factor 3*a**3/2 + 27*a**2/2 + 21*a.
3*a*(a + 2)*(a + 7)/2
Let 3*p**3/4 - 39*p**2/4 - 69*p/2 - 24 = 0. Calculate p.
-2, -1, 16
Find m, given that 35*m**3 + 1565*m**2 + 1090*m - 440 = 0.
-44, -1, 2/7
Solve 25*q**2 - 290*q + 265 = 0 for q.
1, 53/5
What is k in 2450*k**2 + 1120*k + 128 = 0?
-8/35
Suppose -4*p**2 + 540*p - 536 = 0. Calculate p.
1, 134
Factor b**2/4 - 15*b/4 + 25/2.
(b - 10)*(b - 5)/4
Solve 4*i**2 - 3012*i - 3016 = 0.
-1, 754
Factor -3*f**2 - 4284*f - 1529388.
-3*(f + 714)**2
Factor x**5 - x**4.
x**4*(x - 1)
What is m in -4*m**3 - 332*m**2 - 6720*m + 7056 = 0?
-42, 1
Factor 94*n**2/5 - 4*n/3.
2*n*(141*n - 10)/15
Factor 2*z**2 - 24*z - 506.
2*(z - 23)*(z + 11)
Find n, given that -n**3/4 + 25*n**2/4 - 143*n/4 - 169/4 = 0.
-1, 13
Suppose 10*y**4 - 72*y**3 - 66*y**2 + 16*y = 0. Calculate y.
-1, 0, 1/5, 8
Factor 5*q**2 + 300*q + 295.
5*(q + 1)*(q + 59)
What is a in a**3/4 - 3*a**2/4 + 3*a/4 - 1/4 = 0?
1
What is b in 17*b**5/3 - 457*b**4/3 + 934*b**3 + 3668*b**2/3 + 392*b/3 = 0?
-1, -2/17, 0, 14
What is g in 69*g**5/7 - 489*g**4/7 - 1476*g**3/7 + 2064*g**2/7 + 4800*g/7 - 432/7 = 0?
-2, 2/23, 2, 9
Factor 4*k**5 - 64*k**4 - 384*k**3 - 728*k**2 - 580*k - 168.
4*(k - 21)*(k + 1)**3*(k + 2)
Factor 4*o**2/19 - 158*o/19 + 78/19.
2*(o - 39)*(2*o - 1)/19
Find i such that 3*i**5 - 4980*i**4 + 3306720*i**3 - 1097831040*i**2 + 182239952640*i - 12100732855296 = 0.
332
Factor -5*l**2 + 5*l.
-5*l*(l - 1)
Let 3*i**2 - 507 = 0. What is i?
-13, 13
Let g**3 + 8*g**2 + 17*g + 10 = 0. What is g?
-5, -2, -1
Suppose 18*f**5 + 280*f**4 - 2984*f**3/3 - 61184*f**2/3 + 9344*f + 3072 = 0. What is f?
-12, -2/9, 2/3, 8
Let -2*y**4 - 6*y**3 + 8*y = 0. What is y?
-2, 0, 1
Let -4*c**3 - 1848*c**2 - 3680*c = 0. Calculate c.
-460, -2, 0
What is b in 5*b**4/3 - 2587*b**3/3 + 1034*b**2/3 = 0?
0, 2/5, 517
Factor -4*g**2 - 108*g + 360.
-4*(g - 3)*(g + 30)
Find u such that -4*u**4/11 + 1214*u**3/11 - 8346*u**2 - 4256*u + 46208/11 = 0.
-1, 1/2, 152
Factor -20*v**2 + 132*v + 56.
-4*(v - 7)*(5*v + 2)
Determine y so that -2*y**3/7 + 50*y**2/7 - 328*y/7 + 40 = 0.
1, 10, 14
What is d in -3*d**5 + 6*d**4 - 3*d**3 = 0?
0, 1
Find c such that 2*c**2/9 + 1258*c/9 - 140 = 0.
-630, 1
Factor -x**2/3 + 60*x + 181/3.
-(x - 181)*(x + 1)/3
Factor -p**4/2 - 7*p**3/2 - 11*p**2/2 - 5*p/2.
-p*(p + 1)**2*(p + 5)/2
Solve 13*l**3 - 41*l**2 + 32*l - 4 = 0.
2/13, 1, 2
Factor -3*w**2/7 - 75*w - 522/7.
-3*(w + 1)*(w + 174)/7
Solve t**4/3 - 70*t**3/3 + 552*t**2 - 13754*t/3 + 12167/3 = 0 for t.
1, 23
Factor 2*b**5/9 - 50*b**4/9 + 200*b**3/9.
2*b**3*(b - 20)*(b - 5)/9