)**3/9
Solve 4*n**5 + 68*n**4 + 428*n**3 + 1276*n**2 + 1824*n + 1008 = 0 for n.
-7, -3, -2
Factor 3*n**3 + 264*n**2 + 5277*n - 5544.
3*(n - 1)*(n + 33)*(n + 56)
Let -2*t**4/21 + 244*t**3/21 - 2480*t**2/7 - 244*t/21 + 7442/21 = 0. What is t?
-1, 1, 61
Solve w**5/2 - w**4/2 - 9*w**3/2 + 9*w**2/2 = 0 for w.
-3, 0, 1, 3
Factor x**4/2 + 37*x**3/4 + 211*x**2/4 + 335*x/4 - 225/4.
(x + 5)**2*(x + 9)*(2*x - 1)/4
Factor -h**5/4 - 117*h**4/4 - 2337*h**3/2 - 16967*h**2 - 41154*h.
-h*(h + 3)*(h + 38)**3/4
Factor -v**2 + 61*v - 60.
-(v - 60)*(v - 1)
Find m, given that 5*m**2 - 1055*m + 2090 = 0.
2, 209
Find c, given that 4*c**4 - 24*c**3 - 144*c**2 - 160*c = 0.
-2, 0, 10
Find r such that r**3/3 - 313*r**2 + 97969*r - 30664297/3 = 0.
313
Factor 4*s**3 + 2528*s**2 + 399424*s.
4*s*(s + 316)**2
Let 4*r**2 - 224*r - 708 = 0. What is r?
-3, 59
Find c such that 2*c**4/3 - 118*c**3/3 + 406*c**2 + 5874*c - 13068 = 0.
-9, 2, 33
Factor -r**4/3 - 11*r**3/3 - 9*r**2 - 25*r/3 - 8/3.
-(r + 1)**3*(r + 8)/3
What is i in -i**3/2 + 3*i**2/2 + i/2 - 3/2 = 0?
-1, 1, 3
Factor -2*o**5 - 14*o**4 - 22*o**3 - 10*o**2.
-2*o**2*(o + 1)**2*(o + 5)
Factor 4*c**2 - 248*c + 3844.
4*(c - 31)**2
Let -a**2/3 + 221*a = 0. Calculate a.
0, 663
Factor 5*q**4 + 175*q**3 + 495*q**2 + 485*q + 160.
5*(q + 1)**3*(q + 32)
Determine c so that 2*c**2/21 - 2762*c/21 - 1844/7 = 0.
-2, 1383
Let -4*x**5 - 4*x**4 + 52*x**3 + 100*x**2 + 48*x = 0. Calculate x.
-3, -1, 0, 4
Suppose -12*o**5/5 + 28*o**4/5 + 76*o**3/5 + 4*o**2 - 16*o/5 = 0. Calculate o.
-1, 0, 1/3, 4
Let -6*j**2/7 - 218*j/7 - 72/7 = 0. What is j?
-36, -1/3
Factor 52*m**4 - 38*m**3/7 - 2*m**2/7.
2*m**2*(7*m - 1)*(26*m + 1)/7
Suppose -2*q**2/11 + 15*q/11 + 8/11 = 0. Calculate q.
-1/2, 8
Find k, given that -4*k**2 + 176*k - 1936 = 0.
22
Factor -2*i**4/7 - 620*i**3/7 - 40034*i**2/7 + 1242480*i/7 - 8032032/7.
-2*(i - 12)**2*(i + 167)**2/7
Determine f, given that 2*f**5 - 86*f**4/5 + 224*f**3/5 - 136*f**2/5 - 96*f/5 = 0.
-2/5, 0, 2, 3, 4
Determine m so that 5*m**4 - 90*m**3 + 135*m**2 + 430*m - 480 = 0.
-2, 1, 3, 16
Suppose -25*m**4 + 85*m**3 - 5*m**2 - 85*m + 30 = 0. Calculate m.
-1, 2/5, 1, 3
Find z such that -z**5 - 3*z**4 + z**3 + 11*z**2 + 12*z + 4 = 0.
-2, -1, 2
Determine x so that 18*x**3/5 - 6*x**2/5 - 88*x/5 + 56/5 = 0.
-7/3, 2/3, 2
Solve -15*a**3 - 6*a**2 + 39*a - 18 = 0 for a.
-2, 3/5, 1
Factor g**2 + 19*g - 20.
(g - 1)*(g + 20)
Determine m, given that -2*m**5/3 + 10*m**4/3 + 26*m**3/3 + 14*m**2/3 = 0.
-1, 0, 7
Suppose 3*r**2 + 30*r + 63 = 0. Calculate r.
-7, -3
Factor -b**2 - 27*b + 90.
-(b - 3)*(b + 30)
Let 2*n**5/7 - 32*n**4/7 - 44*n**3/7 + 176*n**2/7 - 102*n/7 = 0. What is n?
-3, 0, 1, 17
Factor 3*f**4 - 102*f**3 - 3*f**2 + 102*f.
3*f*(f - 34)*(f - 1)*(f + 1)
Suppose -3*r**4 - 255*r**3 - 2736*r**2 - 7980*r - 7008 = 0. What is r?
-73, -8, -2
Determine y so that y**5/3 + 25*y**4/3 - 53*y**3/3 + 9*y**2 = 0.
-27, 0, 1
Factor a**4/6 + 742*a**3/3 + 122265*a**2 + 20092050*a - 40429125/2.
(a - 1)*(a + 495)**3/6
Factor -4*q**3/7 - 24*q**2 - 336*q - 1568.
-4*(q + 14)**3/7
Factor 4*b**4 - 4*b**3.
4*b**3*(b - 1)
Solve -88*i**4/3 + 12*i**3 + 796*i**2/3 - 108*i - 12 = 0.
-3, -1/11, 1/2, 3
Find s, given that -s**4 - 309*s**3 - 32700*s**2 - 1270000*s - 9000000 = 0.
-100, -9
Factor -18*k**4 + 5790*k**3 - 3854*k**2 + 642*k.
-2*k*(k - 321)*(3*k - 1)**2
What is g in -66*g**5/5 + 562*g**4/5 - 1288*g**3/5 + 216*g**2/5 + 704*g/5 - 128/5 = 0?
-2/3, 2/11, 1, 4
Suppose 4*n**4 - 568*n**3 + 1124*n**2 - 560*n = 0. What is n?
0, 1, 140
Find w such that -2*w**5/7 + 2*w**4/7 + 6*w**3/7 - 2*w**2/7 - 4*w/7 = 0.
-1, 0, 1, 2
Find l such that -5*l**4 + 905*l**3 + 3680*l**2 + 3700*l = 0.
-2, 0, 185
Factor 3*m**3 + 42*m**2 + 153*m + 162.
3*(m + 2)*(m + 3)*(m + 9)
Find h, given that 2*h**5/9 - 22*h**4/9 - 22*h**3/3 + 142*h**2/9 + 496*h/9 + 104/3 = 0.
-2, -1, 3, 13
Factor -m**5 + 8*m**4 - 17*m**3 - 14*m**2 + 84*m - 72.
-(m - 3)**2*(m - 2)**2*(m + 2)
Let -6*o**5 + 23*o**4 - 2*o**3 - 37*o**2 - 6*o = 0. Calculate o.
-1, -1/6, 0, 2, 3
Determine q so that -q**3/2 - 7*q**2 - 20*q = 0.
-10, -4, 0
Suppose -f**5/5 - 7*f**4 + 114*f**3/5 = 0. What is f?
-38, 0, 3
Factor -x**5/4 + x**4 + 3*x**3/4 - 9*x**2/2.
-x**2*(x - 3)**2*(x + 2)/4
Factor -f**4 - 421*f**3 + 423*f**2 + 421*f - 422.
-(f - 1)**2*(f + 1)*(f + 422)
Determine k so that 4*k**2 + 4*k - 80 = 0.
-5, 4
Let -f**3 + 2794*f**2 - 1951609*f = 0. What is f?
0, 1397
Factor 2*c**2 - 122*c + 120.
2*(c - 60)*(c - 1)
Factor 8*d**3/13 + 376*d**2/13 - 382*d/13 + 96/13.
2*(d + 48)*(2*d - 1)**2/13
Factor -b**2/10 + 2*b/5 - 2/5.
-(b - 2)**2/10
Let -2*a**4/3 - 34*a**3 - 66*a**2 - 98*a/3 = 0. Calculate a.
-49, -1, 0
Factor 8*f**2/5 - 10*f + 12/5.
2*(f - 6)*(4*f - 1)/5
Factor 2*j**4 - 54*j**3 + 102*j**2 - 50*j.
2*j*(j - 25)*(j - 1)**2
Solve 25*b**3 + 315*b**2 + 870*b - 400 = 0 for b.
-8, -5, 2/5
Suppose -5*p**2 + 865*p + 870 = 0. Calculate p.
-1, 174
Factor -z**4 - 18*z**3 - 80*z**2 + 18*z + 81.
-(z - 1)*(z + 1)*(z + 9)**2
Factor 3*m**4 - 6765*m**3 + 5089527*m**2 - 1280846271*m + 2541388506.
3*(m - 751)**3*(m - 2)
Determine s so that 3*s**3 + 1590*s**2 - 9621*s + 14472 = 0.
-536, 3
Determine q, given that 2*q**4/3 + 8*q**3/9 - 8*q**2/9 = 0.
-2, 0, 2/3
Suppose 4*y**3 + 28*y**2 - 120*y = 0. What is y?
-10, 0, 3
Determine t, given that -33*t**4 - 6891*t**3 - 5544*t**2 + 14964*t - 2496 = 0.
-208, -2, 2/11, 1
Factor -3*q**2 + 9*q - 6.
-3*(q - 2)*(q - 1)
Let 93*k**4 + 188*k**3 + 4*k**2 = 0. Calculate k.
-2, -2/93, 0
Solve -4*d**5/7 - 16*d**4/7 - 8*d**3/7 + 16*d**2/7 + 12*d/7 = 0 for d.
-3, -1, 0, 1
Solve 3*a**3/5 - 6*a**2/5 = 0.
0, 2
Factor -2*f**2/9 - 8*f.
-2*f*(f + 36)/9
Determine i, given that 25*i**5/4 - 95*i**4/4 + 57*i**3/2 - 13*i**2 + 2*i = 0.
0, 2/5, 1, 2
Let 15*f**4/4 + 25*f**3 - 835*f**2/4 + 360*f - 180 = 0. What is f?
-12, 1, 4/3, 3
Determine h so that 6*h**5 - 560*h**4 - 1534*h**3 - 208*h**2 + 1528*h + 768 = 0.
-2, -1, -2/3, 1, 96
Factor -4*m**2/5 - 24*m - 224/5.
-4*(m + 2)*(m + 28)/5
Suppose -6*y**4 + 33*y**3/2 + 9*y**2/2 = 0. What is y?
-1/4, 0, 3
Factor -w**4/2 - 11*w**3/2 - 13*w**2 - 8*w.
-w*(w + 1)*(w + 2)*(w + 8)/2
Factor 2*o**4/11 + 2*o**3/11.
2*o**3*(o + 1)/11
Find w, given that 2*w**3 + 10*w**2 + 8*w = 0.
-4, -1, 0
Factor -8*d**5/7 + 6*d**4/7 + 2*d**3/7.
-2*d**3*(d - 1)*(4*d + 1)/7
Factor 2*i**2/3 + 448*i/3 + 25088/3.
2*(i + 112)**2/3
Let 5*i**4 - 15*i**3 - 85*i**2 + 195*i - 100 = 0. What is i?
-4, 1, 5
Let f**5/7 - f**4 + 15*f**3/7 - 13*f**2/7 + 4*f/7 = 0. What is f?
0, 1, 4
What is i in -21*i**5 + 60*i**4 - 57*i**3 + 18*i**2 = 0?
0, 6/7, 1
What is k in 5*k**5 + 65*k**4 + 215*k**3 + 95*k**2 - 220*k - 160 = 0?
-8, -4, -1, 1
Solve 2*m**3 + 48*m**2 + 378*m + 972 = 0.
-9, -6
Factor 2*b**2 - 14*b + 24.
2*(b - 4)*(b - 3)
Factor -15*f**3 + 66*f**2 + 15*f - 66.
-3*(f - 1)*(f + 1)*(5*f - 22)
Factor 3*b**5 + 9*b**4 - 3*b**3 - 9*b**2.
3*b**2*(b - 1)*(b + 1)*(b + 3)
Determine a so that -5*a**4 + 13*a**3 + 6*a**2 = 0.
-2/5, 0, 3
Factor -2*h**4/5 + 824*h**3/5 - 127308*h**2/5 + 8741816*h/5 - 225101762/5.
-2*(h - 103)**4/5
Let 3*c**4 - 35*c**3 - 53*c**2 + 11*c + 26 = 0. Calculate c.
-1, 2/3, 13
Let 2*w**5/15 - 98*w**4/5 - 424*w**3/3 - 5504*w**2/15 - 2048*w/5 - 2464/15 = 0. What is w?
-2, -1, 154
What is z in -10*z**3 + 522*z**2 + 2112*z/5 + 424/5 = 0?
-2/5, 53
Find w, given that w**4/5 + 31*w**3/5 + 238*w**2/5 = 0.
-17, -14, 0
Find c such that c**2/6 + 40*c/3 - 27/2 = 0.
-81, 1
Let 3*l**2/8 - 645*l/8 + 639/4 = 0. What is l?
2, 213
Factor -2*x**4/9 + 1360*x**3/9 - 115600*x**2/3 + 39304000*x/9 - 1670420000/9.
-2*(x - 170)**4/9
Find f such that -2*f**2/9 + 16*f/3 - 88/9 = 0.
2, 22
Determine o, given that -171*o**2 + 853*o + 10 = 0.
-2/171, 5
Let -3*b**5/2 - 83*b**4/8 - 55*b**3/8 + 73*b**2/8 + 39*b/8 - 9/4 = 0. Calculate b.
-6, -1, 1/3, 3/4
Factor 4*j**2 - 364*j.
4*j*(j - 91)
Factor -n**4/9 - n**3/3 + 13*n**2/9 + 17*n/3 + 4.
-(n - 4)*(n + 1)*(n + 3)**2/9
Let 4*x**4 - 48*x**3 + 200*x**2 - 336*x + 180 = 0. What is x?
1, 3, 5
Suppose 26*t**5/3 + 100*t**4/3 + 38*t**3 + 32*t**2/3 - 8*t/3 = 0. Calculate t.
-2, -1, 0, 2/13
Factor -32*r**2 + 28*r.
-4*r*(8*r - 7)
Factor -o**5/7 - o**4 + 8*o**3/7.
-o**3*(o - 1)*(o + 8)/7
Determine k so that -k**3 + 3*k**2 + 13*k - 15 = 0.
-3, 1, 5
Suppose -v**4/5 - 2*v**3/5 + 21*v**2/5 + 62*v/5 + 8 = 0. Calculate v.
-4, -2, 