20)/4
Factor u**3/2 - 8760*u**2 + 17519*u/2.
u*(u - 17519)*(u - 1)/2
Let -7*h**5 - 1780*h**4 + 4875*h**3 - 2060*h**2 - 1028*h = 0. Calculate h.
-257, -2/7, 0, 1, 2
Factor 52*y**2 + 2692*y.
4*y*(13*y + 673)
Factor y**4/2 - 247*y**3/2 + 15369*y**2/2 - 13653*y/2 - 45387.
(y - 123)**2*(y - 3)*(y + 2)/2
Factor 5*p**2 - 10895*p - 10900.
5*(p - 2180)*(p + 1)
Solve k**3 + 2399*k**2 - 4805*k - 7203 = 0 for k.
-2401, -1, 3
Factor a**4/4 - 937*a**3/4 + 467*a**2/2 + 468*a.
a*(a - 936)*(a - 2)*(a + 1)/4
Solve -21*k**5 + 330*k**4 - 1185*k**3 + 1020*k**2 + 396*k = 0.
-2/7, 0, 2, 3, 11
What is s in -s**3/3 - 418*s**2/3 - 6833*s/3 - 6416/3 = 0?
-401, -16, -1
Factor -3*v**3 - 279*v**2 - 5490*v - 17688.
-3*(v + 4)*(v + 22)*(v + 67)
Solve 4*l**4/3 + 10916*l**3 - 163940*l**2 + 2460100*l/3 - 1367000 = 0 for l.
-8202, 5
Factor 3*u**2/5 - 9642*u/5 + 9639/5.
3*(u - 3213)*(u - 1)/5
Factor -2*b**2 - 387926*b + 775860.
-2*(b - 2)*(b + 193965)
Suppose 44*h**2 - 2732*h + 24888 = 0. Calculate h.
122/11, 51
Suppose 3*l**5 - 2025*l**4 + 18045*l**3 - 42015*l**2 + 37980*l - 11988 = 0. Calculate l.
1, 6, 666
Suppose 4*z**5 + 40*z**4 - 1868*z**3 - 29424*z**2 - 94320*z - 86400 = 0. Calculate z.
-15, -2, 24
Factor -10*v**2 - 24275*v + 12140.
-5*(v + 2428)*(2*v - 1)
Factor 3*i**3 + 4884*i**2 + 1943103*i - 36575766.
3*(i - 18)*(i + 823)**2
Suppose d**5/3 - 161*d**3/3 + 52*d**2 + 628*d/3 - 208 = 0. What is d?
-13, -2, 1, 2, 12
Determine w so that 2*w**3/5 - 1978*w**2/5 + 15678*w/5 + 17658/5 = 0.
-1, 9, 981
Suppose l**5/8 - 25*l**4/8 - 1143*l**3/8 - 12519*l**2/8 - 26649*l/4 - 9477 = 0. What is l?
-9, -6, -3, 52
What is h in -88*h**3/5 - 2108*h**2/5 - 1444*h - 1040 = 0?
-20, -65/22, -1
Factor 2*z**2/3 - 91382*z/3.
2*z*(z - 45691)/3
Suppose -2*w**2/3 - 125282*w/3 + 125288 = 0. Calculate w.
-62644, 3
Find f, given that f**5 + 287571*f**4 + 20674701363*f**3 + 62022378673*f**2 + 62021803536*f + 20673838656 = 0.
-143784, -1
Suppose 2*o**5 + 51006*o**4 + 325124988*o**3 - 975681020*o**2 + 975783042*o - 325278018 = 0. Calculate o.
-12753, 1
Determine d, given that -d**5/6 - 117*d**4/2 + 8210*d**3/3 - 102194*d**2/3 + 83920*d - 157600/3 = 0.
-394, 1, 2, 20
Factor -p**2/3 - 8983*p/3 - 2994.
-(p + 1)*(p + 8982)/3
Let -4*c**3 + 6367*c**2 - 2532872*c - 633616 = 0. What is c?
-1/4, 796
Determine d so that 2*d**4/7 + 906*d**3/7 - 1882*d**2 - 45834*d/7 - 31756/7 = 0.
-467, -2, -1, 17
Factor 3*x**3 + 309*x**2 - 3732*x + 3420.
3*(x - 10)*(x - 1)*(x + 114)
What is q in 2*q**2/5 - 502*q - 427728/5 = 0?
-152, 1407
Find k such that -k**4/2 - 2463*k**3/2 + k**2/2 + 2463*k/2 = 0.
-2463, -1, 0, 1
Suppose 789100*n**2 - 121504*n + 16 = 0. What is n?
2/15175, 2/13
Factor h**2/2 + 930*h - 5589/2.
(h - 3)*(h + 1863)/2
Factor -i**2/4 - 369*i/4 - 365.
-(i + 4)*(i + 365)/4
Let r**5/3 + 34*r**4/3 + 130*r**3 + 1952*r**2/3 + 4145*r/3 + 850 = 0. Calculate r.
-17, -6, -5, -1
Let 4*v**3 - 1208*v**2 - 16*v + 4832 = 0. What is v?
-2, 2, 302
What is r in -6*r**4 + 133431*r**3/2 - 833553*r**2/2 + 866829*r/2 - 166695/2 = 0?
1/4, 1, 5, 11113
Factor -p**2/2 + 35765*p/2 + 35767.
-(p - 35767)*(p + 2)/2
Factor 5*p**3/4 - 127975*p**2 - 1023860*p - 2047760.
5*(p - 102388)*(p + 4)**2/4
Solve -3*u**5/8 - 183*u**4/4 - 1977*u**3/8 + 6573*u**2/4 + 3915*u = 0 for u.
-116, -9, -2, 0, 5
What is j in 5*j**3/6 + 95*j**2 + 3120*j + 31680 = 0?
-66, -24
Let 5*u**3 + 980*u**2 - 3985*u + 3000 = 0. What is u?
-200, 1, 3
Factor b**2 + 12777*b + 12776.
(b + 1)*(b + 12776)
Solve c**4/4 + 59*c**3 - 1459*c**2/4 - 847*c/2 = 0.
-242, -1, 0, 7
Factor -2*c**2/3 - 880*c/3 - 12314.
-2*(c + 47)*(c + 393)/3
Factor 119*w**2/3 + 298*w/3 - 40.
(7*w + 20)*(17*w - 6)/3
Let -4*q**3 + 37032*q**2 + 74092*q - 111120 = 0. What is q?
-3, 1, 9260
Suppose 5*u**4 - 120*u**3 - 65750*u**2 + 3450000*u + 3515625 = 0. Calculate u.
-125, -1, 75
Solve -18748900*d**3/7 + 18740240*d**2/7 + 1237*d + 1/7 = 0.
-1/4330, 1
Suppose -2*p**4/5 - 116*p**3/5 + 24*p**2/5 + 272*p - 1856/5 = 0. Calculate p.
-58, -4, 2
Factor s**3 + 2149*s**2 + 29939*s + 104615.
(s + 7)**2*(s + 2135)
Let -2*b**5/3 - 5102*b**4/3 + 5114*b**3 + 45982*b**2/3 + 25540*b/3 = 0. What is b?
-2554, -1, 0, 5
Factor -l**2/3 + 40696*l/3 - 414041104/3.
-(l - 20348)**2/3
Find d, given that 4*d**2/7 + 452*d/7 - 1520 = 0.
-133, 20
Let s**2 - 71*s - 902 = 0. What is s?
-11, 82
What is u in -7*u**3 + 1118*u**2 + 4888*u + 5248 = 0?
-16/7, -2, 164
Suppose -4*j**2/5 + 219772*j - 2197704/5 = 0. What is j?
2, 274713
Factor 5*q**5 + 250*q**4 + 4320*q**3 + 28160*q**2 + 40960*q.
5*q*(q + 2)*(q + 16)**3
What is v in -v**3/7 - 519*v**2/7 + 5872*v/7 + 3180 = 0?
-530, -3, 14
Find i, given that 3*i**3 - 8421*i**2/5 - 5058*i/5 = 0.
-3/5, 0, 562
Let d**4/4 + 96185*d**3/2 + 9251938957*d**2/4 + 9251361855*d + 9251169489 = 0. What is d?
-96183, -2
Factor 3*i**4 - 123*i**3 + 855*i**2 + 9867*i - 22218.
3*(i - 23)**2*(i - 2)*(i + 7)
Find c such that 3*c**4/2 - 33*c**3 + 195*c**2/2 + 798*c - 864 = 0.
-4, 1, 9, 16
Let 5*a**4/4 + 95*a**3 + 6095*a**2/4 = 0. What is a?
-53, -23, 0
Let -w**5/4 - 8439*w**4 - 94947188*w**3 - 711913944357*w**2/2 + 4274142693777*w/4 - 1424967491277/2 = 0. Calculate w.
-11253, 1, 2
Factor v**3/2 - 34909*v**2 + 1218638281*v/2.
v*(v - 34909)**2/2
Factor -3*g**2/2 - 24843*g/2 - 24837.
-3*(g + 2)*(g + 8279)/2
Factor 2*z**4 + 166*z**3 + 3092*z**2 - 6864*z.
2*z*(z - 2)*(z + 33)*(z + 52)
Factor 5*q**2 + 3655300*q + 668060904500.
5*(q + 365530)**2
Factor -5*c**3 + 70*c**2 + 1435*c - 1500.
-5*(c - 25)*(c - 1)*(c + 12)
Factor 133394*l**2/11 + 133392*l/11 - 2/11.
2*(l + 1)*(66697*l - 1)/11
Factor -y**2/3 - 42416*y/3 - 449779264/3.
-(y + 21208)**2/3
Suppose 3*o**5 + 36*o**4 + 54*o**3 - 228*o**2 + 135*o = 0. Calculate o.
-9, -5, 0, 1
Factor 5*d**4 + 300990*d**3 + 6039364320*d**2 + 40385227401810*d - 121210044611445.
5*(d - 3)*(d + 20067)**3
Find m such that m**5 - 27*m**4 - 115*m**3 + 3435*m**2 - 9126*m + 5832 = 0.
-12, 1, 2, 9, 27
Solve 321*d**3/4 + 3783*d**2/4 + 693*d = 0.
-11, -84/107, 0
Factor 3*r**2/4 - 76782*r - 307131/4.
3*(r - 102377)*(r + 1)/4
Solve -2*z**2/7 - 1978*z/7 + 1420 = 0.
-994, 5
Suppose 2*m**2/7 - 63220*m/7 + 499596050/7 = 0. Calculate m.
15805
Suppose -2*i**2/9 - 6178*i/3 - 74104/9 = 0. Calculate i.
-9263, -4
Determine i, given that 4*i**3 - 7740*i**2 + 7736*i = 0.
0, 1, 1934
Factor 2*d**3 + 452*d**2 + 13910*d - 14364.
2*(d - 1)*(d + 38)*(d + 189)
Determine u, given that -2*u**5/13 + 2*u**4 + 90*u**3/13 - 458*u**2/13 + 80*u/13 + 600/13 = 0.
-5, -1, 2, 15
Factor 2*x**4/9 - 62*x**3/9 - 212*x**2/9 + 272*x/9.
2*x*(x - 34)*(x - 1)*(x + 4)/9
Let x**3/3 - 27476*x**2/3 + 62920039*x - 125803446 = 0. Calculate x.
2, 13737
Factor 3*n**3 + 70047*n**2 + 408846825*n - 408916875.
3*(n - 1)*(n + 11675)**2
Factor -2*b**2/13 - 1567928*b/13 + 120610.
-2*(b - 1)*(b + 783965)/13
Factor -3*p**3 - 2751*p**2 - 27285*p - 68025.
-3*(p + 5)**2*(p + 907)
Suppose -4*r**4/5 + 168*r**3 - 1664*r**2/5 = 0. What is r?
0, 2, 208
Solve -24*f**5 + 1438*f**4 + 15025*f**3 + 1182*f**2 - 621*f = 0.
-9, -1/4, 0, 1/6, 69
What is p in -5*p**3/4 - 1005*p**2/2 - 197925*p/4 + 206045 = 0?
-203, 4
Factor -3*k**3 - 3303*k**2 - 19710*k.
-3*k*(k + 6)*(k + 1095)
Factor 4*z**2/3 - 3928*z/3 + 12960.
4*(z - 972)*(z - 10)/3
Factor -2*o**2/7 - 13742*o/7 - 41208/7.
-2*(o + 3)*(o + 6868)/7
Determine g so that -35*g**2 + 102470*g + 29280 = 0.
-2/7, 2928
Let 5*j**3 - 5025*j**2 + 1460115*j - 95026295 = 0. What is j?
91, 457
Factor 8*d**2 + 19642*d - 14736.
2*(d + 2456)*(4*d - 3)
Factor 4*g**4 - 292*g**3 + 1548*g**2 + 3988*g + 2144.
4*(g - 67)*(g - 8)*(g + 1)**2
Determine h, given that -h**4/4 + 39*h**3/4 - 285*h**2/4 + 457*h/4 - 105/2 = 0.
1, 7, 30
Suppose 5*q**2/4 - 1315*q/2 + 85680 = 0. What is q?
238, 288
Factor -4*t**2/3 + 187910*t/9 - 31318/9.
-2*(t - 15659)*(6*t - 1)/9
Factor x**4 - 1884*x**3 - 1885*x**2.
x**2*(x - 1885)*(x + 1)
Factor -66*j**2 - 3778*j + 3844.
-2*(j - 1)*(33*j + 1922)
Determine q, given that 3*q**3/2 - 225*q**2 + 891*q/2 - 222 = 0.
1, 148
Factor 13*a**2 - 1464*a + 26460.
(a - 90)*(13*a - 294)
Solve l**3 - 1084*l**2 - 4*l + 4336 = 0 for l.
-2, 2, 1084
Determine l, given that -4*l**2 + 1071624*l - 2143232 = 0.
2, 267904
Let 3*t**3 - 81*t**2 - 264*t - 180 = 0. Calculate t.
-2, -1, 30
Solve 14*w**5/13 + 2622*w**4/13 + 8462*w**3/13 - 414*w**2/13 - 652*w - 2208/13 = 