r -4*i**4 - 136*i**3 + 179468*i**2 + 3070608*i - 2039064336.
-4*(i - 142)**2*(i + 159)**2
Suppose 2*y**5/3 - 136*y**4/3 - 1528*y**3/3 - 892*y**2 + 4530*y + 11700 = 0. What is y?
-5, -3, 3, 78
Factor -4*u**4 + 4772*u**3 + 4776*u**2.
-4*u**2*(u - 1194)*(u + 1)
Determine p, given that -1033*p**2/2 + 90903*p/2 + 44 = 0.
-1/1033, 88
Factor r**2/2 + 55681*r + 3100373761/2.
(r + 55681)**2/2
What is y in -y**4/2 + 97*y**3 + 391*y**2/2 + 98*y = 0?
-1, 0, 196
Suppose -5*c**2 + 14135*c = 0. Calculate c.
0, 2827
Solve 2*p**3 - 23056*p**2 + 66516506*p - 398269452 = 0 for p.
6, 5761
What is p in -25*p**5 - 6790*p**4 - 57065*p**3 - 137000*p**2 - 63120*p = 0?
-263, -4, -3/5, 0
Let -f**3/5 - 22501*f**2/5 - 25317000*f - 25312500 = 0. What is f?
-11250, -1
Suppose 5*u**5/6 - 11*u**4/2 - 17*u**3/6 + 67*u**2/2 + 12*u - 18 = 0. What is u?
-2, -1, 3/5, 3, 6
Find w such that 2*w**3/3 + 278*w**2/3 + 550*w/3 + 274/3 = 0.
-137, -1
Factor f**4 + 209535*f**3 - 628611*f**2 + 628613*f - 209538.
(f - 1)**3*(f + 209538)
Factor -4*n**2 + 4804*n + 102648.
-4*(n - 1222)*(n + 21)
Solve -3*b**4 - 183*b**3 - 3489*b**2 - 18825*b + 22500 = 0 for b.
-25, -12, 1
Determine r so that 2*r**3/9 + 6148*r**2/9 + 12290*r/9 + 2048/3 = 0.
-3072, -1
Let 2*n**3/5 - 556*n**2/5 - 223894*n/5 + 224448/5 = 0. What is n?
-224, 1, 501
Suppose 2*a**5 + 10*a**4 - 380*a**3 - 1180*a**2 + 378*a + 1170 = 0. Calculate a.
-15, -3, -1, 1, 13
Factor 3*s**3 - 53514*s**2 + 107019*s - 53508.
3*(s - 17836)*(s - 1)**2
Factor 2*n**2/21 + 974*n/21 + 23972/21.
2*(n + 26)*(n + 461)/21
Factor 2*l**3/15 + 806*l**2/15 + 160*l/3 - 536/5.
2*(l - 1)*(l + 2)*(l + 402)/15
Find p, given that -2883*p**4 - 771900*p**3 - 51567804*p**2 + 13346400*p - 861888 = 0.
-134, 4/31
Determine o so that 2*o**2/9 - 338564*o/3 + 14328197762 = 0.
253923
Factor -2*h**2 - 1850*h - 301308.
-2*(h + 211)*(h + 714)
Determine f, given that 24*f**5 + 4244*f**4 - 18012*f**3 + 15916*f**2 - 2172*f = 0.
-181, 0, 1/6, 1, 3
Factor -f**3/7 + 58*f**2/7 - 979*f/7 + 726.
-(f - 33)*(f - 14)*(f - 11)/7
Let 3*w**4/2 + 195*w**3/2 - 2457*w**2 - 17928*w = 0. What is w?
-83, -6, 0, 24
Factor q**5 + 19*q**4 + 76*q**3 - 276*q**2 - 1584*q.
q*(q - 4)*(q + 6)**2*(q + 11)
What is n in -15910*n**5/19 + 47734*n**4/19 - 31832*n**3/19 + 8*n**2/19 = 0?
0, 2/7955, 1, 2
Factor -48*q**2 - 9128*q - 1301881/3.
-(12*q + 1141)**2/3
Let 5*i**2 - 136925*i - 684750 = 0. What is i?
-5, 27390
Let j**4/5 - 157*j**3/5 - 3*j**2/5 + 469*j/5 + 314/5 = 0. What is j?
-1, 2, 157
Factor 3*q**3/5 + 2091*q**2 + 8858256*q/5 - 439744596/5.
3*(q - 47)*(q + 1766)**2/5
Factor -3*z**4/4 + 1425*z**3/4 - 12339*z**2/2.
-3*z**2*(z - 457)*(z - 18)/4
Solve 5*q**3 + 4735*q**2 + 350320*q - 355060 = 0 for q.
-866, -82, 1
Find u, given that 9*u**4 - 544*u**3 - 2015*u**2 - 2102*u - 640 = 0.
-2, -1, -5/9, 64
Solve 908*f**3 + 5050*f**2 + 5784*f - 3582 = 0 for f.
-3, 199/454
Suppose -3*h**5 - 109851*h**4 - 1005548541*h**3 + 1007416167*h**2 + 16092732168*h + 20113168860 = 0. What is h?
-18309, -2, 5
Find z such that -2*z**2/3 - 3587*z/6 + 2245/3 = 0.
-898, 5/4
Suppose 5*m**2/2 + 6575915*m + 8648531617445/2 = 0. What is m?
-1315183
Factor -418*v**2/3 + 610*v - 1988/3.
-2*(v - 2)*(209*v - 497)/3
Factor -3*f**2/5 - 138567*f/5.
-3*f*(f + 46189)/5
Let -2*y**3/5 - 1144*y**2/5 - 196282*y/5 - 1764028 = 0. What is y?
-251, -70
Suppose w**5 + 221*w**4 - 1590*w**3 + 1368*w**2 = 0. What is w?
-228, 0, 1, 6
Suppose 2*f**2/3 + 1432*f - 4302 = 0. What is f?
-2151, 3
Let 213*z**5 - 1283*z**4 + 243*z**3 + 5107*z**2 + 3288*z - 80 = 0. Calculate z.
-1, 5/213, 4
Find b such that b**3/3 - 2843*b**2/3 + 242440*b/3 = 0.
0, 88, 2755
Factor y**2 + 5374*y - 5375.
(y - 1)*(y + 5375)
Factor 4*a**3 + 21536*a**2 + 28352820*a - 1717691112.
4*(a - 58)*(a + 2721)**2
Suppose 4*v**2 - 72*v - 19276 = 0. What is v?
-61, 79
Find d such that 3*d**5 + 4467*d**4 + 1656045*d**3 - 5120607*d**2 - 41832696*d - 35060508 = 0.
-746, -3, -1, 7
Determine s so that s**4/4 - 15*s**3/2 + 117*s**2/4 + 305*s + 429 = 0.
-3, -2, 13, 22
Solve 26*j**2 - 100876*j - 15520 = 0 for j.
-2/13, 3880
Let z**5/4 - 167*z**4/2 + 39849*z**3/4 - 499330*z**2 + 8940100*z = 0. Calculate z.
0, 52, 115
Factor -4*q**2 - 39104*q - 95570176.
-4*(q + 4888)**2
Find g such that g**3 - 2062*g**2 + 6179*g - 4118 = 0.
1, 2, 2059
Factor -2916*p**5 + 39852*p**4 - 179280*p**3 + 334400*p**2 - 224000*p.
-4*p*(p - 7)*(9*p - 20)**3
Factor -5*q**2 + 7215*q + 14450.
-5*(q - 1445)*(q + 2)
Factor 5*f**3 + 3835*f**2 + 695310*f.
5*f*(f + 294)*(f + 473)
Find a, given that -a**4 - 20*a**3 + 7200*a**2 - 270000*a + 2970000 = 0.
-110, 30
Factor t**2/5 - 219*t/5 + 3434/5.
(t - 202)*(t - 17)/5
Find h such that -2*h**4 - 83*h**3 - 331*h**2 + 83*h + 333 = 0.
-37, -9/2, -1, 1
Factor -3*a**3 + 12600*a**2 - 263277*a.
-3*a*(a - 4179)*(a - 21)
Let -2*m**3/5 + 102*m**2/5 - 246*m - 1334/5 = 0. Calculate m.
-1, 23, 29
Suppose w**2/4 + 35355*w + 1249976025 = 0. What is w?
-70710
Factor 2*n**3/7 + 104*n**2/7 - 1562*n/7 - 1664/7.
2*(n - 13)*(n + 1)*(n + 64)/7
Suppose 2*f**5/9 - 14*f**4/9 - 8*f**3 + 104*f**2/9 + 160*f/9 = 0. Calculate f.
-4, -1, 0, 2, 10
What is m in -m**3/3 - 46*m**2/3 + 10951*m/3 - 309260/3 = 0?
-140, 47
Determine y, given that y**5 - 128*y**4 + 4312*y**3 - 11936*y**2 - 103664*y - 123008 = 0.
-2, 8, 62
Determine b, given that -2*b**4/19 - 172*b**3/19 - 4888*b**2/19 - 56372*b/19 - 223686/19 = 0.
-43, -17, -9
What is l in 2*l**4/11 + 3200*l**3/11 - 54866*l**2/11 + 181000*l/11 - 15288 = 0?
-1617, 2, 13
Let -t**2/2 + 461561*t/2 = 0. Calculate t.
0, 461561
What is i in -i**3/2 + 125*i**2 - 5625*i/2 = 0?
0, 25, 225
Let o**3/9 + 1166*o**2/9 - 37940*o + 2501352 = 0. What is o?
-1418, 126
Let -4*r**5 + 240*r**4 - 1436*r**3 - 2656*r**2 + 5808*r + 6784 = 0. Calculate r.
-2, -1, 2, 8, 53
Let 2*z**3/17 - 312*z**2/17 - 2954*z/17 - 2640/17 = 0. Calculate z.
-8, -1, 165
Solve -2*y**5/9 - 8752*y**4/9 - 3179872*y**3/3 + 76737536*y**2/9 - 153755648*y/9 = 0 for y.
-2192, 0, 4
Factor -4*s**2 + 4073344*s - 1037008208896.
-4*(s - 509168)**2
Solve m**4/8 - 9563*m**3/4 + 38247*m**2/8 + 9563*m/4 - 4781 = 0 for m.
-1, 1, 2, 19124
Let 5*i**2 + 10310*i - 176715 = 0. What is i?
-2079, 17
Factor -3*o**2/2 - 194245*o/2 + 64749.
-(o + 64749)*(3*o - 2)/2
Factor 2*v**3 - 22094*v**2 + 22080*v + 132552.
2*(v - 11046)*(v - 3)*(v + 2)
Factor -2*p**2 + 165032*p - 3404445128.
-2*(p - 41258)**2
Suppose -x**2 - 11142*x - 22280 = 0. Calculate x.
-11140, -2
Suppose -2*s**4 - 36450*s**3 + 2*s**2 + 36450*s = 0. What is s?
-18225, -1, 0, 1
Factor -2*b**2/5 + 664*b - 23142/5.
-2*(b - 1653)*(b - 7)/5
Solve c**3/5 + 6498*c**2/5 - 19507*c/5 - 26004/5 = 0.
-6501, -1, 4
Let -5*u**3/4 + 2495*u**2/2 - 312495*u + 620010 = 0. What is u?
2, 498
Let 4*z**4 + 708*z**3 + 41688*z**2 + 858800*z + 2220000 = 0. Calculate z.
-74, -50, -3
Factor 4*q**3 - 84202*q**2 + 443144600*q - 221551250.
2*(q - 10525)**2*(2*q - 1)
Suppose -2*j**3/19 + 71078*j**2/19 + 355432*j/19 + 284352/19 = 0. Calculate j.
-4, -1, 35544
Find k, given that 5*k**2/6 - 35675*k/2 + 53510/3 = 0.
1, 21404
Factor 26*t**2/15 + 532*t/15 + 64.
2*(t + 2)*(13*t + 240)/15
Suppose -21*s**5 - 28440*s**4 - 1086684*s**3 - 2380062*s**2 - 1613727*s - 291930 = 0. Calculate s.
-1315, -37, -1, -2/7
What is y in 22*y**3 + 3206*y**2 + 5460*y - 1728 = 0?
-144, -2, 3/11
Suppose -3*x**3 + 167886*x**2 = 0. What is x?
0, 55962
Factor 429*a**3 - 3360*a**2 + 1425*a + 23250.
3*(a - 5)**2*(143*a + 310)
Find l such that -2*l**4 - 19452*l**3 - 47278080*l**2 + 94633984*l = 0.
-4864, 0, 2
Suppose 2*l**5 - 88*l**4 - 390*l**3 + 252*l**2 + 1728*l = 0. What is l?
-3, 0, 2, 48
Factor i**3/2 - 133*i**2/2 - 2961*i/2 - 15147/2.
(i - 153)*(i + 9)*(i + 11)/2
Factor q**2 - 61768*q + 953821456.
(q - 30884)**2
Solve 3*m**3 + 2934*m**2 - 5877*m + 2940 = 0 for m.
-980, 1
Suppose -5*o**4 + 2165*o**3 - 213875*o**2 - 4753125*o + 50625000 = 0. Calculate o.
-25, 8, 225
Let -m**4/2 - 574*m**3 - 91155*m**2 - 5172766*m - 199423009/2 = 0. Calculate m.
-971, -59
Determine r so that -r**2/12 + 46*r - 68951/12 = 0.
191, 361
Factor -5*d**5 + 4025*d**4 + 12105*d**3 + 12115*d**2 + 4040*d.
-5*d*(d - 808)*(d + 1)**3
Suppose -4*i**2 + 292204*i + 292208 = 0. What is i?
-1, 73052
Factor -3*v**5/2 + 1803*v**4/2 + 5427*v**3/2 + 5433*v**2/2 + 906*v.
-3*v*(v - 604)*(v + 1)**3/2
What is b i