1)*(g + 45)/2
Factor k**2/2 + 122637*k - 245276.
(k - 2)*(k + 245276)/2
What is l in 4*l**2/9 - 1124*l/9 - 2264/9 = 0?
-2, 283
Let -542775*a**2 + 542780*a - 5 = 0. Calculate a.
1/108555, 1
Let t**2/3 + 39532*t/3 + 390694756/3 = 0. Calculate t.
-19766
Find p, given that -242*p**3/15 - 1454*p**2/15 - 1222*p/15 - 2/3 = 0.
-5, -1, -1/121
Factor t**2/4 - 1273*t/4 + 1905/2.
(t - 1270)*(t - 3)/4
Factor -4*x**3/5 - 92*x**2/5 + 468*x - 6084/5.
-4*(x - 13)*(x - 3)*(x + 39)/5
Factor 2*f**2/19 - 3916*f/19 - 15696/19.
2*(f - 1962)*(f + 4)/19
Solve g**5 - 6843*g**4 + 27360*g**3 - 27356*g**2 = 0.
0, 2, 6839
Let -3*q**5/7 - 120*q**4/7 + 1251*q**3/7 - 3468*q**2/7 + 420*q = 0. What is q?
-49, 0, 2, 5
Find r, given that -r**2 + 365*r - 31144 = 0.
136, 229
Find y, given that 140*y**3 - 44245*y**2 + 1580*y = 0.
0, 1/28, 316
Suppose 64*u**2 + 370656*u + 536663556 = 0. Calculate u.
-11583/4
Factor 5*j**3 + 9040*j**2 + 3507705*j + 390313890.
5*(j + 243)**2*(j + 1322)
Factor 16*u**2/7 - 8402*u/7 + 150.
2*(u - 525)*(8*u - 1)/7
What is u in -5*u**2/6 + 5725*u/6 + 61305 = 0?
-61, 1206
Find o such that -1125*o**4 + 275925*o**3 - 10198520*o**2 + 2704900*o - 180000 = 0.
2/15, 45, 200
Find v, given that -3*v**2 - 35997*v + 793386 = 0.
-12021, 22
Factor -5*o**2 - 16720*o + 319485.
-5*(o - 19)*(o + 3363)
Suppose -4*r**2/5 + 96*r + 136144/5 = 0. Calculate r.
-134, 254
Suppose -4*u**4 - 33416*u**3 + 167168*u**2 - 100344*u - 300924 = 0. Calculate u.
-8359, -1, 3
What is v in 2*v**4 + 10488*v**3 - 10494*v**2 - 20980*v = 0?
-5245, -1, 0, 2
Let 46*q**5/7 + 278*q**4/7 + 564*q**3/7 + 56*q**2 + 16*q/7 = 0. What is q?
-2, -1/23, 0
Let y**2/9 - 94172*y/9 - 31391/3 = 0. What is y?
-1, 94173
Let -2*k**4/13 + 90*k**3/13 - 1296*k**2/13 + 5832*k/13 = 0. What is k?
0, 9, 18
Suppose -o**3/3 - 1019*o**2/3 - 51250*o/3 - 16744 = 0. What is o?
-966, -52, -1
Factor 39050001*w**2/2 + 24996*w + 8.
(6249*w + 4)**2/2
Let 28*t**4 + 1160*t**3 + 12756*t**2 + 25416*t + 8640 = 0. Calculate t.
-24, -15, -2, -3/7
Solve -4*a**3 + 1056*a**2 + 2140*a - 3192 = 0.
-3, 1, 266
Factor -b**3/3 - 15471*b**2 + b/3 + 15471.
-(b - 1)*(b + 1)*(b + 46413)/3
Factor -1437*t**3 - 112095*t**2 - 2186379*t - 13689.
-3*(t + 39)**2*(479*t + 3)
Suppose -2*d**3 - 2432*d**2 + 12198*d - 14652 = 0. What is d?
-1221, 2, 3
Factor 2*h**3 + 1942*h**2 + 5812*h + 3872.
2*(h + 1)*(h + 2)*(h + 968)
Factor -n**3/3 - 544*n**2/3 - 25543*n - 237630.
-(n + 10)*(n + 267)**2/3
Solve -t**5/9 - 11*t**4/3 + 480*t**3 - 8500*t**2/9 = 0.
-85, 0, 2, 50
Factor 2*s**2 + 987220*s + 121825416050.
2*(s + 246805)**2
Suppose -5*t**2 - 12115*t - 60450 = 0. What is t?
-2418, -5
Solve 27*p**5 + 792*p**4 - 4632*p**3 - 11136*p**2 + 24240*p + 19584 = 0 for p.
-34, -8/3, -2/3, 2, 6
Factor -1934*h**2/5 + 28998*h/5 + 36.
-2*(h - 15)*(967*h + 6)/5
Determine x so that -2*x**4 - 8654*x**3 - 9304960*x**2 + 122431400*x = 0.
-2170, 0, 13
Let 2*x**4 + 14592*x**3 + 72924*x**2 + 102080*x + 43746 = 0. Calculate x.
-7291, -3, -1
Find x, given that 9684544*x**5 + 154934032*x**4 + 280553033*x**3 + 135042272*x**2 - 261147*x + 126 = 0.
-14, -1, 3/3112
Solve -2*z**3 + 1780*z**2 - 394264*z - 795664 = 0 for z.
-2, 446
Factor 3*v**2/2 + 10623*v/2 + 15921.
3*(v + 3)*(v + 3538)/2
Factor -2*i**2 - 8642*i + 8644.
-2*(i - 1)*(i + 4322)
Let 3*y**2/7 + 312*y/7 - 963/7 = 0. What is y?
-107, 3
Find m, given that -3*m**3 + 228429*m**2/4 + 357033*m + 85689 = 0.
-6, -1/4, 19042
Determine y so that -4*y**5 + 88*y**4 - 384*y**3 - 1152*y**2 = 0.
-2, 0, 12
Find t such that -t**4 - 340*t**3 - 1010*t**2 + 340*t + 1011 = 0.
-337, -3, -1, 1
Solve 2*j**5 + 307*j**4 - 2103*j**3 - 3688*j**2 - 1280*j = 0.
-160, -1, -1/2, 0, 8
Suppose -3*m**4 + 120*m**3 + 7434*m**2 - 15216*m + 7665 = 0. Calculate m.
-35, 1, 73
Solve u**2 + 26217*u + 26216 = 0.
-26216, -1
Let -72*s**4 - 114964*s**3 + 262384*s**2 + 236676*s + 38376 = 0. What is s?
-1599, -1/2, -2/9, 3
Let -15*x**5/8 - 6763*x**4/8 - 39283*x**3/8 - 54717*x**2/8 + 4005*x/4 = 0. Calculate x.
-445, -3, 0, 2/15
Suppose 20*u**5 - 7336*u**4 + 27652*u**3 - 23216*u**2 - 5808*u = 0. What is u?
-1/5, 0, 2, 363
Solve 5618*g**3/5 - 229914*g**2/5 - 17376*g/5 - 328/5 = 0.
-2/53, 41
Factor -d**2 - 392*d - 36735.
-(d + 155)*(d + 237)
Factor 2*l**2/13 - 23184*l/13 + 115870/13.
2*(l - 11587)*(l - 5)/13
Let -p**5/6 - 193*p**4/3 + 4*p**3/3 + 1544*p**2/3 - 8*p/3 - 3088/3 = 0. Calculate p.
-386, -2, 2
Let a**4/3 - 44*a**3/3 - a**2 + 134*a/3 - 88/3 = 0. What is a?
-2, 1, 44
Factor -2*m**2/11 - 438*m/11 - 1296/11.
-2*(m + 3)*(m + 216)/11
Find p, given that -256*p**2 + 797248*p/3 - 620707396/9 = 0.
12457/24
Suppose -b**5/6 - 574*b**4 + 97021*b**3/6 - 338534*b**2/3 - 16170*b + 340256/3 = 0. What is b?
-3472, -1, 1, 14
Factor 2*z**5 - 732*z**4 + 87802*z**3 - 3263432*z**2 - 22418208*z - 19066240.
2*(z - 124)**3*(z + 1)*(z + 5)
Factor -144*s**3/5 - 2904*s**2 - 2405*s - 500.
-(s + 100)*(12*s + 5)**2/5
Factor 4*x**3 + 2643968*x**2 + 436910424064*x.
4*x*(x + 330496)**2
Suppose -3*w**5 - 9*w**4 + 3528*w**3 + 76440*w**2 + 543312*w + 1037232 = 0. What is w?
-14, -3, 42
Find b such that -b**2 + 742*b - 7320 = 0.
10, 732
Factor 4*m**3 - 792*m**2 + 22028*m - 40920.
4*(m - 165)*(m - 31)*(m - 2)
Find t such that t**4/2 - 87*t**3 + 3763*t**2/2 + 6261*t + 4292 = 0.
-2, -1, 29, 148
Determine f, given that 2*f**2/7 - 1689924*f/7 + 3379840/7 = 0.
2, 844960
Factor -2*m**3/11 + 304*m**2/11 + 55014*m/11 - 8393292/11.
-2*(m - 159)**2*(m + 166)/11
Suppose 3*x**2/5 - 8394*x/5 - 50472/5 = 0. What is x?
-6, 2804
Factor 3*h**2 - 504*h - 40179.
3*(h - 227)*(h + 59)
Solve 2*m**4/7 + 942*m**3/7 + 14618*m**2/7 + 3774*m + 1820 = 0 for m.
-455, -14, -1
Factor 22*f**3 - 492*f**2 - 1474*f + 600.
2*(f - 25)*(f + 3)*(11*f - 4)
Suppose 2*p**5/7 - 4378*p**4/7 + 3577572*p**3/7 - 1292074916*p**2/7 + 173477306266*p/7 + 24967566162 = 0. Calculate p.
-1, 441, 583
Factor -5*w**2 + 4810*w - 80325.
-5*(w - 945)*(w - 17)
Determine q, given that 4*q**3 + 146412*q**2 - 146416*q = 0.
-36604, 0, 1
Determine p so that -4*p**3/3 + 280*p**2/3 - 4492*p/3 + 2632 = 0.
2, 21, 47
Factor -2*k**5 + 17694*k**4 - 39143550*k**3 + 39125858*k**2.
-2*k**2*(k - 4423)**2*(k - 1)
Find m such that -5*m**2 - 2158935*m - 2158930 = 0.
-431786, -1
Let 4*w**5 + 24*w**4 + 32*w**3 - 64*w**2 - 192*w - 128 = 0. What is w?
-2, 2
Determine i, given that 14*i**5 + 3602*i**4 - 17284*i**3 + 2216*i**2 + 31472*i + 8384 = 0.
-262, -1, -2/7, 2, 4
Factor 729*u**4/2 - 59319*u**3 + 4870549*u**2/2 - 1779570*u + 328050.
(u - 81)**2*(27*u - 10)**2/2
Solve -f**4 + 2931*f**3 + 11735*f**2 + 14673*f + 5870 = 0 for f.
-2, -1, 2935
What is a in 2*a**4/5 - 188*a**3 + 11902*a**2/5 - 9092*a/5 - 21936/5 = 0?
-1, 2, 12, 457
Determine c, given that -3*c**2/7 - 290214*c/7 - 7018680483/7 = 0.
-48369
Factor -5*b**3 + 770*b**2 - 18445*b - 19220.
-5*(b - 124)*(b - 31)*(b + 1)
Solve 249*t**4/4 + 5223*t**3/4 - 39219*t**2/4 + 34557*t/4 - 405/2 = 0.
-27, 2/83, 1, 5
Find f such that 4*f**5 + 372*f**4 - 760*f**3 = 0.
-95, 0, 2
Determine d so that 3*d**3/2 + 4680*d**2 + 83841*d/2 - 242658 = 0.
-3111, -13, 4
Factor -k**3/7 + 2010*k**2/7 - 287*k.
-k*(k - 2009)*(k - 1)/7
Let 4*v**4 - 178856*v**3 + 1999699476*v**2 - 7996651760*v + 7995936400 = 0. What is v?
2, 22355
Factor 5*l**2 - 28310*l + 84885.
5*(l - 5659)*(l - 3)
Factor n**3 + 12673*n**2 + 12672*n.
n*(n + 1)*(n + 12672)
Find r such that r**4/5 + 14581*r**3/5 + 87366*r**2 + 873260*r + 2910200 = 0.
-14551, -10
Suppose 2*y**5/3 + 184*y**4/3 + 1928*y**3/3 - 9788*y**2/3 + 13046*y/3 - 5372/3 = 0. What is y?
-79, -17, 1, 2
Factor 3*x**3/4 - 2199*x**2/4 + 101016*x - 100467.
3*(x - 366)**2*(x - 1)/4
Factor 2*z**2 - 1422640*z + 252988071200.
2*(z - 355660)**2
Suppose u**3/3 - 22585*u**2/3 + 1127375*u/3 - 14084375/3 = 0. Calculate u.
25, 22535
Let 4*b**2 + 924*b + 28080 = 0. Calculate b.
-195, -36
Determine a so that 2*a**3/5 + 484*a**2/5 + 3818*a + 207368/5 = 0.
-196, -23
Let -16575*n**5 - 10*n**4 + 66300*n**3 + 40*n**2 = 0. Calculate n.
-2, -2/3315, 0, 2
What is w in w**2/3 - 61904*w/3 = 0?
0, 61904
Find g, given that -g**5/4 - 65*g**4/4 + 897*g**3/4 - 2119*g**2/4 - 770*g = 0.
-77, -1, 0, 5, 8
Suppose -4*f**3 + 96*f**2 + 51504*f + 1883840 = 0. Calculate f.
-58, 140
What is j in -5*j**3 - 21170*j**2 - 295645*j - 1033900 = 0?
-4220, -7
Factor -i**2/8 - 1691*i/4 - 16885/