2*r**5 - 634*r**4/11 + 5824*r**3/11 - 17928*r**2/11 + 15552*r/11 + 3456/11 = 0 for r.
-2/11, 2, 3, 12
Determine c so that 2*c**5/17 - 46*c**4/17 + 152*c**3/17 = 0.
0, 4, 19
Factor x**3/3 + 1303*x**2/3 + 427691*x/3 + 2106005/3.
(x + 5)*(x + 649)**2/3
Determine u so that u**5/7 + 205*u**4/7 + 1810*u**3 + 235750*u**2/7 - 72905*u + 37387 = 0.
-109, -49, 1
What is g in 2*g**3/7 - 8882*g**2/7 - 71202*g/7 + 80082/7 = 0?
-9, 1, 4449
Solve 4*i**3 - 2660*i**2 + 572908*i - 39443628 = 0 for i.
147, 259
Factor -4*n**2 + 14096*n - 112512.
-4*(n - 3516)*(n - 8)
Find m, given that -9425645*m**3 + 744543575*m**2 + 6507840*m + 14220 = 0.
-6/1373, 79
Let -4*c**5 - 172*c**4 - 2572*c**3 - 14836*c**2 - 22624*c - 10192 = 0. What is c?
-14, -13, -1
Factor 4*w**3 - 720*w**2 - 10396*w + 69480.
4*(w - 193)*(w - 5)*(w + 18)
Solve 45*b**3 + 254370*b**2 - 1357600*b + 1810560 = 0 for b.
-5658, 8/3
Factor y**2 + 120968*y.
y*(y + 120968)
Factor -5*s**2 + 459630*s - 10562986845.
-5*(s - 45963)**2
Find y, given that -3*y**3 + 1053*y**2 + 2118*y = 0.
-2, 0, 353
What is n in 7*n**5 - 7768*n**4 - 2220*n**3 = 0?
-2/7, 0, 1110
Solve 2*z**4 - 311188*z**3 + 12105057602*z**2 - 24209181648*z + 12104435232 = 0 for z.
1, 77796
Find q, given that -3*q**3 - 1884*q**2 - 259695*q - 10308978 = 0.
-454, -87
Factor 12*g**2 + 2384*g + 1584.
4*(g + 198)*(3*g + 2)
Factor 2*t**2/9 + 26*t/3 - 2296.
2*(t - 84)*(t + 123)/9
Determine k so that 3*k**5 + 45*k**4 + 222*k**3 + 330*k**2 - 225*k - 375 = 0.
-5, -1, 1
Suppose i**5 - 14*i**4 + 27*i**3 + 94*i**2 - 332*i + 264 = 0. Calculate i.
-3, 2, 11
Factor -3*j**3 - 8841*j**2 - 52953*j - 44115.
-3*(j + 1)*(j + 5)*(j + 2941)
Solve a**4/3 - 202*a**3 + 98233*a**2/3 - 648824*a + 10316944/3 = 0 for a.
11, 292
Factor -p**2/6 + 73*p/2 - 430/3.
-(p - 215)*(p - 4)/6
Let -20*x**4/9 + 178*x**3/9 + 2674*x**2/3 + 764*x/9 - 1600/9 = 0. Calculate x.
-16, -1/2, 2/5, 25
What is s in -2*s**4/9 - 38*s**3/3 - 1442*s**2/9 - 1810*s/3 - 4100/9 = 0?
-41, -10, -5, -1
Find c, given that -c**2/4 - 3368*c - 11343424 = 0.
-6736
Determine m so that 10*m**5 + 4356*m**4 - 37194*m**3 + 45260*m**2 - 12432*m = 0.
-444, 0, 2/5, 1, 7
Suppose -25*d**4/2 - 18710*d**3 + 44935*d**2/2 - 3745*d = 0. What is d?
-1498, 0, 1/5, 1
Suppose -2*v**4 + 414*v**3 + 2136*v**2 - 3368*v - 5088 = 0. What is v?
-6, -1, 2, 212
Factor -v**2 + 436*v.
-v*(v - 436)
Solve 2*k**4/7 - 8*k**3 + 150*k**2/7 = 0.
0, 3, 25
Factor -t**3/2 + 97*t**2 + 3605*t/2 - 1899.
-(t - 211)*(t - 1)*(t + 18)/2
Let 2*d**4/5 + 100964*d**3/5 + 1273812192*d**2/5 - 2039573844*d - 2294316090 = 0. Calculate d.
-25245, -1, 9
Find i, given that -4*i**5/7 - 82*i**4/7 + 242*i**3/7 + 236*i**2/7 - 904*i/7 + 368/7 = 0.
-23, -2, 1/2, 2
Solve 165*r**4 + 3912*r**3 + 6273*r**2 + 1470*r - 1056 = 0 for r.
-22, -1, 16/55
Determine x, given that -3*x**2 + 169788*x + 509391 = 0.
-3, 56599
Factor -2*x**5/5 + 4*x**4 + 80*x**3 - 800*x**2 - 4000*x + 40000.
-2*(x - 10)**3*(x + 10)**2/5
Suppose -3*n**2 - 2923734*n - 2923731 = 0. What is n?
-974577, -1
Factor 4*o**4 + 195648*o**3 + 2392188088*o**2 - 4784963136*o + 2392579396.
4*(o - 1)**2*(o + 24457)**2
Factor -3*w**2 - 91764*w + 183540.
-3*(w - 2)*(w + 30590)
Factor -z**3/2 + 4177*z**2/2 - 4392991*z/2 + 64958415/2.
-(z - 2081)**2*(z - 15)/2
Suppose 2*m**3/15 - 41356*m**2/5 + 641576256*m/5 - 3846976576/3 = 0. What is m?
10, 31012
Find j, given that 2*j**2/9 - 116*j/9 - 4150/9 = 0.
-25, 83
Factor -z**4 - 5346*z**3 - 7134225*z**2 + 28622500*z.
-z*(z - 4)*(z + 2675)**2
Solve -2*u**3 - 25088*u**2 - 78675968*u = 0 for u.
-6272, 0
Determine t so that -3*t**2/8 - 2715*t/8 + 2043/2 = 0.
-908, 3
Determine v, given that 2*v**3/3 - 548*v**2 + 42504*v - 867888 = 0.
42, 738
Factor -f**2/3 - 286628*f/3 + 95543.
-(f - 1)*(f + 286629)/3
Factor 15*r**3/7 - 153*r**2 + 2496*r/7 - 828/7.
3*(r - 69)*(r - 2)*(5*r - 2)/7
Factor -2*d**4 - 450348*d**3 - 25353466466*d**2 - 202806115536*d - 405597820448.
-2*(d + 4)**2*(d + 112583)**2
Solve -l**2/10 - 79862*l/5 - 3188969522/5 = 0.
-79862
Determine p so that -4*p**2 - 172716*p + 172720 = 0.
-43180, 1
Factor -4*f**5 - 296*f**4 + 194460*f**3 - 12524400*f**2.
-4*f**2*(f - 105)**2*(f + 284)
Find z such that 3*z**3 - 543*z**2 - 1098*z = 0.
-2, 0, 183
Factor -5*b**2/6 - 145307*b/3 + 58123/6.
-(b + 58123)*(5*b - 1)/6
Solve -5*i**3 - 540*i**2 + 3995*i - 3450 = 0.
-115, 1, 6
Suppose -5*i**3 + 8820*i**2 - 3984825*i + 83450510 = 0. What is i?
22, 871
Suppose -58*m**3/5 - 80*m**2 - 654*m/5 + 72/5 = 0. What is m?
-4, -3, 3/29
Factor -4*w**3 + 314*w**2 - 2144*w + 994.
-2*(w - 71)*(w - 7)*(2*w - 1)
Determine v, given that -15*v**5 + 624*v**4 + 5322*v**3 + 5976*v**2 - 11907*v = 0.
-27/5, -3, 0, 1, 49
Factor 5*s**2 + 114965*s + 114960.
5*(s + 1)*(s + 22992)
Let -4*b**5/5 + 104*b**4 + 540*b**3 = 0. What is b?
-5, 0, 135
Determine l, given that 2*l**3/9 - 1970*l**2/9 + 623504*l/9 - 21368312/3 = 0.
266, 453
Find o such that 3*o**3 + 13332*o**2 + 26655*o + 13326 = 0.
-4442, -1
Determine o, given that -o**5/5 - 16*o**4 - 778*o**3/5 + 13416*o**2 + 1367379*o/5 = 0.
-39, -31, 0, 29
Suppose 4*u**2 - 1580*u - 288864 = 0. What is u?
-136, 531
Determine v, given that 1547536*v**4 + 12375312*v**3 + 24720772*v**2 - 79584*v + 64 = 0.
-4, 1/622
What is f in f**5/3 - 79*f**4/3 + 958*f**3/3 - 3106*f**2/3 - 959*f/3 + 3185/3 = 0?
-1, 1, 7, 65
Find l such that 5*l**4 + 965*l**3 + 58725*l**2 + 1459135*l + 12926170 = 0.
-106, -29
Determine y so that -2*y**3/7 - 108296*y**2/7 - 1466002952*y/7 = 0.
-27074, 0
Determine j, given that -j**5 - 1616*j**4 - 865032*j**3 - 150407168*j**2 + 1592200880*j = 0.
-542, 0, 10
Find g such that -g**2/4 - 4000*g - 16000000 = 0.
-8000
Solve -g**5/7 - 101*g**4/7 + 983*g**3/7 - 815*g**2/7 - 4978*g/7 - 440 = 0 for g.
-110, -1, 4, 7
Factor i**5 + 48*i**4 + 378*i**3 - 3672*i**2 + 6237*i.
i*(i - 3)**2*(i + 21)*(i + 33)
Let -y**5 - 32873*y**4 - 164347*y**3 - 230079*y**2 - 98604*y = 0. What is y?
-32868, -3, -1, 0
What is c in 5*c**2/3 + 545*c + 8050/3 = 0?
-322, -5
Find v, given that -v**2/2 - 1243*v - 7440 = 0.
-2480, -6
What is b in -10*b**3 + 1194*b**2 - 228942*b/5 + 570262 = 0?
161/5, 55
What is r in -2*r**4 - 422*r**3 + 8*r**2 + 1688*r = 0?
-211, -2, 0, 2
Determine k, given that -19*k**4/3 - 335*k**3/6 + 1541*k**2/2 - 5588*k/3 + 952/3 = 0.
-17, 7/38, 4
Determine u, given that -u**2/6 + 94*u/3 + 1520 = 0.
-40, 228
Factor 18*m**3 - 1929*m**2 + 2229*m - 318.
3*(m - 106)*(m - 1)*(6*m - 1)
Factor 4*l**3 - 1559625*l**2 + 152027078742*l - 38006672209.
(l - 194953)**2*(4*l - 1)
Factor z**2/7 - 30659*z/7 + 30658/7.
(z - 30658)*(z - 1)/7
Factor -a**4/5 + 357*a**3/5 + 717*a**2/5 + 359*a/5.
-a*(a - 359)*(a + 1)**2/5
Determine z, given that -5*z**5/2 - 185*z**4/2 + 1345*z**3/2 + 2245*z**2/2 - 2650*z - 3010 = 0.
-43, -2, -1, 2, 7
Factor -3*t**5 - 11412*t**4 + 68544*t**3 - 137136*t**2 + 91440*t.
-3*t*(t - 2)**3*(t + 3810)
Solve 6*t**4 + 4137*t**3 + 38727*t**2 - 22470*t - 20400 = 0 for t.
-680, -10, -1/2, 1
What is x in -2*x**2 - 44280*x = 0?
-22140, 0
Suppose -5*q**4 + 160*q**3 + 8670*q**2 + 68040*q + 59535 = 0. What is q?
-21, -9, -1, 63
Suppose -3*x**4/2 - 1719*x**3/2 - 6795*x**2/2 + 18759*x/2 - 5121 = 0. What is x?
-569, -6, 1
Factor -q**3/8 + 873*q**2/4 + 18060*q + 365200.
-(q - 1826)*(q + 40)**2/8
Find y such that -3*y**3/5 + 54927*y**2/5 - 251551872*y/5 + 251277312 = 0.
5, 9152
Let -3*u**2 + 1374*u - 124875 = 0. What is u?
125, 333
Factor -8*k**2/7 + 10*k/7 + 4092/7.
-2*(k + 22)*(4*k - 93)/7
Suppose 3*n**4 + 60*n**3 - 2241*n**2 + 6258*n - 4080 = 0. What is n?
-40, 1, 2, 17
Factor -y**4/5 - 37748*y**3/5 - 94984032*y**2 - 1990864908032*y/5 + 7971060770816/5.
-(y - 4)*(y + 12584)**3/5
Determine z, given that -5*z**4 - 255*z**3 - 945*z**2 + 9655*z + 10350 = 0.
-46, -9, -1, 5
Factor -2*r**2 - 1026*r - 14940.
-2*(r + 15)*(r + 498)
Solve -4*d**3 - 128*d**2 + 10212*d = 0 for d.
-69, 0, 37
Suppose -5*h**4 + 355*h**3 + 3270*h**2 - 43020*h + 70200 = 0. What is h?
-15, 2, 6, 78
Let 5*g**3 + 435*g**2 - 140400*g - 14618500 = 0. Calculate g.
-130, 173
Let -3*h**3 - 28896*h**2 + 115623*h - 86724 = 0. Calculate h.
-9636, 1, 3
What is h in 2*h**3/7 - 58*h**2/7 + 158*h/7 + 150 = 0?
-3, 7, 25
Determine f so that -4*f**2 + 361264*f + 1445120 = 0.
-4, 90320
Factor -3*r**3/5 - 84*r**2 - 2739*r/5 + 7182/5.
-3*(r - 2)*(r + 9)*(r + 133)/5
Let