or f**5/2 + 31*f**4/4 - 4*f**3.
f**3*(f + 16)*(2*f - 1)/4
Factor -4*r**2 + 24*r + 28.
-4*(r - 7)*(r + 1)
Find u, given that 2*u**5/9 + 332*u**4/9 - 680*u**3/9 - 1340*u**2/9 + 226*u/3 + 112 = 0.
-168, -1, 1, 3
Determine l so that 5*l**3/3 - 65*l**2/3 + 70*l = 0.
0, 6, 7
Suppose -w**4/6 - 5*w**3/2 + 3*w**2 + 16*w/3 = 0. Calculate w.
-16, -1, 0, 2
Factor 2*d**2 + 754*d.
2*d*(d + 377)
Factor d**5/6 + 77*d**4/6 + 760*d**3/3 + 722*d**2/3.
d**2*(d + 1)*(d + 38)**2/6
What is i in 10*i**5 + 455*i**4 + 4860*i**3 + 2095*i**2 - 2320*i = 0?
-29, -16, -1, 0, 1/2
Factor -6*s**2/5 + 253*s/5 + 43.
-(s - 43)*(6*s + 5)/5
Let -3*b**5/2 + 1841*b**4/2 + 619*b**3/2 - 3069*b**2/2 - 308*b + 614 = 0. Calculate b.
-1, 2/3, 1, 614
Let -3*m**4 + 33*m**2 - 54*m + 24 = 0. Calculate m.
-4, 1, 2
Factor r**3/2 + 41*r**2/2 + 220*r + 200.
(r + 1)*(r + 20)**2/2
Determine s so that 3*s**4 - 3*s**3 - 3*s**2 + 3*s = 0.
-1, 0, 1
Factor -4*n**3 + 12*n**2 + 36*n + 20.
-4*(n - 5)*(n + 1)**2
Let 3*d**2/4 + 39*d/2 - 1014 = 0. What is d?
-52, 26
Factor -v**4 - 104*v**3 - 2700*v**2 + 416*v + 10816.
-(v - 2)*(v + 2)*(v + 52)**2
Factor 3*h**4 - 45*h**3 + 207*h**2 - 195*h - 450.
3*(h - 6)*(h - 5)**2*(h + 1)
Factor 5*m**3 - 115*m**2 + 310*m - 200.
5*(m - 20)*(m - 2)*(m - 1)
Suppose 3*t**4/4 - 1347*t**3/4 - 4059*t**2/4 - 4065*t/4 - 339 = 0. What is t?
-1, 452
Suppose -q**5/3 - 19*q**4/3 - 58*q**3/3 + 298*q**2/3 - 341*q/3 + 121/3 = 0. Calculate q.
-11, 1
Determine t so that -3*t**5/5 - 6*t**4/5 - 3*t**3/5 = 0.
-1, 0
Let -c**3/6 + 367*c**2 - 269378*c + 197723452/3 = 0. What is c?
734
Find y, given that -6075*y**4 + 54135*y**3 - 80202*y**2 - 7452*y - 168 = 0.
-2/45, 2, 7
Suppose 21*j**3 + 327*j**2 + 1011*j - 495 = 0. What is j?
-11, -5, 3/7
Find n, given that -4*n**2/5 + 276*n/5 = 0.
0, 69
Factor 5*r**2 - 4800*r - 14445.
5*(r - 963)*(r + 3)
Factor v**2/4 - 89*v/4 - 235/2.
(v - 94)*(v + 5)/4
Factor 2*d**3/23 + 286*d**2/23 - 876*d/23.
2*d*(d - 3)*(d + 146)/23
Determine k, given that -3*k**3/2 - 159*k**2/2 + 81*k = 0.
-54, 0, 1
Determine a so that 5*a**3/2 - 27*a**2/2 + 15*a - 4 = 0.
2/5, 1, 4
Factor p**2/5 - 76*p/5 + 192.
(p - 60)*(p - 16)/5
Solve -2*z**3/7 + 480*z**2 - 268800*z + 50176000 = 0.
560
Find g, given that -2*g**3 + 18*g**2 - 16*g - 120 = 0.
-2, 5, 6
Factor -2*r**2 + 4912*r/7 + 702/7.
-2*(r - 351)*(7*r + 1)/7
Suppose 44*d**3 + 5856*d**2 + 198000*d + 209088 = 0. What is d?
-66, -12/11
Determine g so that g**5 + 2*g**4 - 15*g**3/4 - 5*g**2/4 + 11*g/4 - 3/4 = 0.
-3, -1, 1/2, 1
Let 2*o**3 + 4*o**2 - 80*o + 128 = 0. Calculate o.
-8, 2, 4
Let -5*m**5 + 55*m**4 - 230*m**3 + 450*m**2 - 405*m + 135 = 0. What is m?
1, 3
Determine x so that -3*x**5 - 15*x**4 + 63*x**3 + 255*x**2 - 300*x = 0.
-5, 0, 1, 4
Determine x, given that -756*x**4 - 1560*x**3 - 1072*x**2 - 736*x/3 = 0.
-46/63, -2/3, 0
Solve d**5/5 + d**4 + 7*d**3/5 - d**2/5 - 8*d/5 - 4/5 = 0 for d.
-2, -1, 1
Factor 2*u**2/17 - 1240*u/17 + 6150/17.
2*(u - 615)*(u - 5)/17
Suppose k**5 + 107*k**4 - 112*k**3 - 428*k**2 + 432*k = 0. Calculate k.
-108, -2, 0, 1, 2
Find z, given that -z**4/9 + 8*z**3/9 + z**2 = 0.
-1, 0, 9
Suppose -1350*g**5 - 20370*g**4 - 20786*g**3 - 2710*g**2 + 2472*g + 504 = 0. Calculate g.
-14, -3/5, -2/9, 1/3
Suppose 5*c**5 + 59*c**4 + 824*c**3/5 + 524*c**2/5 + 96*c/5 = 0. What is c?
-8, -3, -2/5, 0
Let 4*m**2/5 + 1272*m/5 + 101124/5 = 0. Calculate m.
-159
Determine n, given that n**5/2 + 37*n**4/4 + 35*n**3 - 299*n**2/4 + 5*n + 25 = 0.
-10, -1/2, 1
What is b in -2*b**2/13 + 4852*b/13 - 2942738/13 = 0?
1213
What is k in 16*k**5/9 - 374*k**4/9 + 490*k**3/9 - 44*k**2/3 = 0?
0, 3/8, 1, 22
Factor 4*x**2 + 3788*x + 3784.
4*(x + 1)*(x + 946)
Factor -b**5 + 3*b**4 + b**3 - 3*b**2.
-b**2*(b - 3)*(b - 1)*(b + 1)
Factor 51*m**2/4 + 57*m/4 + 3/2.
3*(m + 1)*(17*m + 2)/4
Factor -4*l**3 - 292*l**2 + 904*l - 608.
-4*(l - 2)*(l - 1)*(l + 76)
Suppose -9*z**4 - 273*z**3 + 771*z**2 - 687*z + 198 = 0. What is z?
-33, 2/3, 1
Find w such that w**2/2 + 37*w/2 + 93 = 0.
-31, -6
Find k such that -k**4 + 2*k**3 + 5*k**2 - 6*k = 0.
-2, 0, 1, 3
Solve 4*j**4/15 - 14*j**3/15 + 8*j**2/15 + 8*j/15 = 0 for j.
-1/2, 0, 2
Factor 4*p**5/7 + 20*p**4/7 + 40*p**3/7 + 40*p**2/7 + 20*p/7 + 4/7.
4*(p + 1)**5/7
Suppose -2*w**3/17 - 6*w**2/17 + 2*w/17 + 6/17 = 0. Calculate w.
-3, -1, 1
Suppose -3*i**3/8 + 111*i**2/8 - 291*i/4 + 93 = 0. What is i?
2, 4, 31
Determine d so that 5*d**2 - 26520*d + 35165520 = 0.
2652
Let -7*m**4/3 - 23*m**3/3 - 2*m**2 + 28*m/3 + 8/3 = 0. What is m?
-2, -2/7, 1
Determine m, given that m**3/6 - 11*m**2/6 + 3*m = 0.
0, 2, 9
Solve -3*o**2/8 + 87*o/4 = 0.
0, 58
Determine u so that 4*u**2 - 908*u = 0.
0, 227
Solve 3*c**3/2 - 12*c**2 - 1035*c/2 = 0 for c.
-15, 0, 23
Factor -18*j**5 + 22*j**4 - 4*j**3.
-2*j**3*(j - 1)*(9*j - 2)
Let -5*i**5 - 190*i**4 - 355*i**3 + 190*i**2 + 360*i = 0. What is i?
-36, -2, -1, 0, 1
Factor -5*o**2 - 150*o + 155.
-5*(o - 1)*(o + 31)
Determine z so that -4*z**2/5 + 1216*z/5 - 1212/5 = 0.
1, 303
Solve 2*w**5 + 64*w**4 - 76*w**3 - 336*w**2 - 198*w = 0.
-33, -1, 0, 3
Factor -3*l**3 + 18*l**2 - 33*l + 18.
-3*(l - 3)*(l - 2)*(l - 1)
Factor -k**3/3 - 9*k**2/2 + 10*k - 31/6.
-(k - 1)**2*(2*k + 31)/6
Determine n, given that -n**4/5 + 7*n**3/5 - 7*n**2/5 - 3*n = 0.
-1, 0, 3, 5
Suppose 4*n**4 + 28*n**3 + 32*n**2 - 112*n - 192 = 0. Calculate n.
-4, -3, -2, 2
Factor -n**3/3 - 13*n**2/3 - 56*n/3 - 80/3.
-(n + 4)**2*(n + 5)/3
Find v such that -2*v**2/11 + 2796*v/11 - 977202/11 = 0.
699
What is n in -2*n**4/7 + 2*n**3 + 10*n**2/7 - 150*n/7 = 0?
-3, 0, 5
Factor 2*g**2 + 3144*g + 1235592.
2*(g + 786)**2
Determine y, given that -140*y**3/3 + 8*y**2/3 + 420*y - 24 = 0.
-3, 2/35, 3
Factor h**2 - 13*h + 12.
(h - 12)*(h - 1)
Factor -c**4/7 + 11*c**3/7 + 131*c**2/7 - 15*c/7 - 1350/7.
-(c - 18)*(c - 3)*(c + 5)**2/7
Factor 4*i**2/5 - 18*i/5 - 2.
2*(i - 5)*(2*i + 1)/5
Let 2*j**4 - 212*j**3 + 1416*j**2 - 2988*j + 1782 = 0. What is j?
1, 3, 99
Factor -4*h**3 + 4*h**2 + 40*h + 32.
-4*(h - 4)*(h + 1)*(h + 2)
Factor 8*b**3 + 58*b**2 + 94*b + 20.
2*(b + 2)*(b + 5)*(4*b + 1)
Factor 5*i**5 + 15*i**4 - 45*i**3 + 25*i**2.
5*i**2*(i - 1)**2*(i + 5)
Factor 38*l**2 + 562*l - 120.
2*(l + 15)*(19*l - 4)
Find p such that 6*p**3/7 - 374*p**2/7 + 1516*p/7 - 464/7 = 0.
1/3, 4, 58
Factor u**2/8 - 1059*u/4 + 2117/8.
(u - 2117)*(u - 1)/8
What is n in -4*n**4 + 60*n**2 + 40*n - 96 = 0?
-3, -2, 1, 4
Determine z so that z**3 + 7*z**2 - 17*z + 9 = 0.
-9, 1
Find u, given that -4*u**2 + 904*u + 1824 = 0.
-2, 228
Factor l**3/8 + 227*l**2/4 + 453*l/8.
l*(l + 1)*(l + 453)/8
Determine f so that -f**2/7 - 11*f/7 + 18 = 0.
-18, 7
Suppose 9*m**5 - 5388*m**4 + 802803*m**3 + 1078200*m**2 + 270000*m = 0. What is m?
-1, -1/3, 0, 300
Factor -4*r**5/7 + 16*r**4/7 + 48*r**3/7.
-4*r**3*(r - 6)*(r + 2)/7
Factor k**5/6 - 3*k**4/2 + 13*k**3/3 - 3*k**2 - 9*k/2 + 9/2.
(k - 3)**3*(k - 1)*(k + 1)/6
Factor q**5 - 91*q**4 + 439*q**3 - 781*q**2 + 604*q - 172.
(q - 86)*(q - 2)*(q - 1)**3
Suppose -14*m**2/11 + 2*m + 240/11 = 0. Calculate m.
-24/7, 5
Factor 3*y**5 - 24*y**4 - 3*y**3 + 24*y**2.
3*y**2*(y - 8)*(y - 1)*(y + 1)
Suppose -5*d**2 + 20*d + 4185 = 0. Calculate d.
-27, 31
Suppose 12*b**3/5 + 536*b**2/5 - 736*b/5 = 0. What is b?
-46, 0, 4/3
Factor -2*o**4/5 + 2*o**3 - 16*o**2/5 + 8*o/5.
-2*o*(o - 2)**2*(o - 1)/5
Factor u**3/5 + 86*u**2/5 + 17*u.
u*(u + 1)*(u + 85)/5
Solve -5*y**3 - 100*y**2 + 135*y + 630 = 0.
-21, -2, 3
Solve -g**5 + 1313*g**4/3 + 149*g**3 - 1315*g**2 + 1312*g/3 + 292 = 0 for g.
-2, -1/3, 1, 438
Suppose 5*x**5/4 - 635*x**4/4 + 2475*x**3/4 - 1825*x**2/4 - 620*x + 615 = 0. Calculate x.
-1, 1, 2, 123
Factor 42*r**3 - 296*r**2 + 10*r + 28.
2*(r - 7)*(3*r - 1)*(7*r + 2)
Solve 20*d**5 + 2692*d**4 + 4240*d**3 - 2128*d**2 = 0 for d.
-133, -2, 0, 2/5
Factor -x**2/7 + 36/7.
-(x - 6)*(x + 6)/7
Factor -8*p**3 - 14*p**2 - 4*p + 2.
-2*(p + 1)**2*(4*p - 1)
Determine y so that -2*y**4/5 - 68*y**3/5 - 842*y**2/5 - 4488*y/5 - 8712/5 = 0.
-11, -6
Determine b so that 4*b**5 + 20*b**4 - 28*b**3 - 20*b**2 + 24*b = 0.
-6, -1, 0, 1
Suppose -15*x**4 + 384*x**3 - 3270*x**2 + 9912*x - 4851 = 0. Calculate x.
3/5, 7, 11
Factor -4*g**2/3 - 188*g/3 - 176.
-4*(g + 3)*(g + 44)/3
Find h such that -38*h**4 + 42*h**3 + 224*h**2 - 24*h = 0.
-2, 0, 2/19, 3
Factor 6*t**2/11 - 1470*t/11 + 1464/11.
6*(t - 244)*(t - 