175*n**4/9 - 8194*n**3/9 + 50902*n**2/9 - 77917*n/9 + 35035/9 = 0. Calculate n.
1, 5, 77, 91
Determine m, given that -8*m**4 + 36388*m**3 + 91132*m**2 - 509652*m - 273060 = 0.
-5, -1/2, 3, 4551
Determine m, given that -5*m**5 + 2635*m**4 - 120260*m**3 + 1514700*m**2 - 4302000*m = 0.
0, 4, 15, 30, 478
Factor -2*y**2/3 + 11390580*y + 239202278/3.
-2*(y - 17085877)*(y + 7)/3
Determine x so that -324*x**5 + 2988*x**4 + 41504999*x**3 + 5558439560*x**2 - 6840151824*x + 2094782976 = 0.
-204, 11/18, 416
Factor 5*k**2/4 - 7804633*k/4 - 1560927/2.
(k - 1560927)*(5*k + 2)/4
Let -2*k**3/7 + 3296334*k**2/7 = 0. Calculate k.
0, 1648167
Let -2*w**4/7 - 53120*w**3/7 - 1379594*w**2/7 + 4616916*w/7 = 0. Calculate w.
-26534, -29, 0, 3
Factor h**3/6 - 11231*h**2/3 + 83525974*h/3 - 205876423732/3.
(h - 8714)*(h - 6874)**2/6
Let -4*j**5 + 29616*j**4 - 36879764*j**3 - 66393956296*j**2 - 20180252388480*j - 40095224463872 = 0. What is j?
-529, -2, 4232
Solve -2*q**3/9 - 6254*q**2/3 - 318376*q/9 = 0 for q.
-9364, -17, 0
Factor -f**2 - 64191530*f - 1030138130935225.
-(f + 32095765)**2
What is a in -2*a**4/19 + 443300*a**3/19 - 24584744586*a**2/19 + 2258983212200*a/19 - 51935048311112/19 = 0?
46, 110779
Factor -2*z**2/7 + 21822*z/7 - 19393120/7.
-2*(z - 9935)*(z - 976)/7
Suppose 2*b**4/3 - 49324*b**3/3 + 127778232*b**2 - 737746123028*b/3 - 1574154993363050/3 = 0. What is b?
-1225, 8629
Factor 48*o**3 + 79992024*o**2 - 39996021*o + 4999503.
3*(o + 1666501)*(4*o - 1)**2
Solve -5*y**3/3 - 4405*y**2 - 2561760*y = 0 for y.
-1779, -864, 0
Solve m**5 + 207191*m**4 - 4351317*m**3 + 27973377*m**2 - 50352516*m = 0.
-207212, 0, 3, 9
Factor j**3 + 53549334*j**2 - 107098671*j + 53549336.
(j - 1)**2*(j + 53549336)
Suppose -2*f**2/9 + 125336*f/3 - 78123136/9 = 0. What is f?
208, 187796
Factor -4*a**2 - 3828*a + 176176.
-4*(a - 44)*(a + 1001)
Solve 227*i**5 + 32687*i**4/2 + 12676*i**3 - 1416508*i**2 - 5717280*i + 12600 = 0.
-70, -6, 1/454, 10
Let -3*k**5 + 837*k**4 - 73872*k**3 + 1657572*k**2 + 35957376*k = 0. What is k?
-13, 0, 96, 98
Factor 4*c**4/9 - 20618960*c**3/9 - 20618968*c**2/3 - 61856912*c/9 - 20618972/9.
4*(c - 5154743)*(c + 1)**3/9
Factor 2*o**3 + 3018*o**2 - 12128*o - 36312.
2*(o - 6)*(o + 2)*(o + 1513)
Factor 3*v**2 + 8322*v - 54816801.
3*(v - 3107)*(v + 5881)
Factor 69532*j**2/3 + 2451027*j + 2538.
(4*j + 423)*(17383*j + 18)/3
What is w in 5*w**3 - 146235*w**2 + 1070037600*w - 11752725820 = 0?
11, 14618
Factor -3*t**4 + 79285548*t**3 - 698466484390770*t**2 + 2051048461168573493100*t - 2051047762702168387875.
-3*(t - 8809505)**3*(t - 1)
What is w in 2*w**4/5 - 10226*w**3/5 + 15952972*w**2/5 - 1379111360*w - 1382304000 = 0?
-1, 714, 2200
Suppose 2*i**2/9 + 88*i/9 - 435448 = 0. Calculate i.
-1422, 1378
Let -320*u**2 - 4212*u + 149312 = 0. Calculate u.
-2333/80, 16
Factor -6*i**2/11 + 3218790*i/11 + 202807584/11.
-6*(i - 536528)*(i + 63)/11
Determine z so that -8*z**2/5 - 221942*z/15 + 1216672/5 = 0.
-9264, 197/12
Solve -3*x**4 + 5469*x**3 - 1712142*x**2 + 93169536*x - 1404254208 = 0.
32, 317, 1442
Factor -2*w**4/5 + 5919484*w**3/5 - 1168010483472*w**2 + 384113484938756160*w - 768222297845049600.
-2*(w - 986580)**3*(w - 2)/5
Find b such that -3*b**5/5 - 159*b**4/5 + 3726*b**3/5 + 79056*b**2/5 + 199584*b/5 = 0.
-66, -12, -3, 0, 28
Solve -h**4/8 + 2213*h**3/8 - 38291*h**2/4 + 95928*h - 209088 = 0.
3, 16, 2178
Factor m**3/3 - 46301*m**2/3 + 516482320*m/3 + 151535092800.
(m - 23560)**2*(m + 819)/3
Let -3*w**3/4 + 252723*w**2/4 + 21750819*w/4 + 467761869/4 = 0. Calculate w.
-43, 84327
What is v in 861*v**4 - 2815*v**3 - 114436*v**2 - 1860*v = 0?
-10, -2/123, 0, 93/7
Solve -a**4/3 + 1565*a**3/3 - 156439*a**2 - 1437773*a/3 + 4740310/3 = 0 for a.
-5, 2, 409, 1159
Determine g so that 36*g**4 + 900*g**3 + 2483*g**2 + 2389*g + 770 = 0.
-22, -7/6, -1, -5/6
Let l**2 - 51761*l + 6815028 = 0. Calculate l.
132, 51629
Factor -3*q**2/7 - 132667890*q/7 - 1466730753087675/7.
-3*(q + 22111315)**2/7
Solve -2*k**4/9 + 1252316*k**3/9 - 196038172792*k**2/9 + 392071336336*k/9 = 0 for k.
0, 2, 313078
Determine c, given that -5*c**5 - 1806505*c**4 + 18065475*c**3 - 27098375*c**2 - 18065470*c + 28904880 = 0.
-361311, -1, 1, 2, 8
Factor 7804*h**2 + 276*h.
4*h*(1951*h + 69)
Factor -4*a**2 - 20756*a + 11650800.
-4*(a - 511)*(a + 5700)
Solve -2*i**5/13 + 266*i**4/13 - 5152*i**3/13 - 255056*i**2/13 - 73056*i - 71136 = 0 for i.
-19, -2, 78
Suppose 5*v**4 + 1007310*v**3 - 45336240*v**2 + 571265730*v - 1332968805 = 0. Calculate v.
-201507, 3, 21
Factor i**2/4 + 2646*i - 788365.
(i - 290)*(i + 10874)/4
Solve -u**4 + 9548*u**3 + 926224*u**2 - 3857600*u = 0 for u.
-100, 0, 4, 9644
Factor -3*f**3 - 1353*f**2 - 109173*f - 315423.
-3*(f + 3)*(f + 101)*(f + 347)
Solve 4*u**5/3 + 3883648*u**4/3 + 314223370580*u**3 - 3883648*u**2/3 - 942670111744*u/3 = 0.
-485456, -1, 0, 1
What is m in 4*m**5 + 120*m**4 + 992*m**3 + 1224*m**2 - 2340*m = 0?
-15, -13, -3, 0, 1
Factor -3378244*k**2/5 - 101170872*k/5 - 757460484/5.
-4*(919*k + 13761)**2/5
Let 2*w**4/9 - 5108*w**3/9 + 1400176*w**2/3 - 125010732*w + 124544574 = 0. Calculate w.
1, 693, 1167
Factor -2*m**2 + 2083560*m + 8334272.
-2*(m - 1041784)*(m + 4)
Find h, given that 15*h**4 - 25090*h**3 - 5269475*h**2 - 92047770*h + 63714600 = 0.
-171, -20, 2/3, 1863
Solve 2*q**4 - 220*q**3 + 426*q**2 + 648*q = 0 for q.
-1, 0, 3, 108
Determine o, given that 5*o**3/3 + 2690*o**2/3 - 49435*o + 371070 = 0.
-589, 9, 42
Solve -2*d**4 + 292322*d**3 - 2922974*d**2 - 6722922*d - 3507624 = 0 for d.
-1, 12, 146151
Determine q so that 4*q**2 + 19713316*q - 78853328 = 0.
-4928333, 4
Factor -10*b**2/7 - 22448*b/7 - 7112934/7.
-2*(b + 1863)*(5*b + 1909)/7
Suppose i**2/2 - 5093*i/2 + 128571 = 0. Calculate i.
51, 5042
Factor 2*s**3/5 + 532*s**2/5 - 25174*s/5.
2*s*(s - 41)*(s + 307)/5
What is k in 4*k**3 - 361668*k**2 + 2169900*k - 3254796 = 0?
3, 90411
Determine v, given that -3*v**5/4 - 51885*v**4/2 + 155709*v**3/2 + 700407*v**2 - 14009679*v/4 + 8406099/2 = 0.
-34593, -6, 3
Let -2*i**4/21 + 4912*i**3/21 - 3057934*i**2/21 + 593173808*i/21 - 531104864 = 0. What is i?
21, 404, 1627
Factor -2*r**2/9 - 9764*r/9 + 681122/3.
-2*(r - 201)*(r + 5083)/9
Determine q, given that 14*q**5 + 2754*q**4 - 33422*q**3 - 28987434*q**2 - 1136738448*q + 327149496 = 0.
-123, -53, 2/7, 102
Factor -3*l**4 - 54528*l**3 - 125619495*l**2 - 77749213674*l.
-3*l*(l + 1289)**2*(l + 15598)
Factor -w**4 - 1449*w**3 - 269370*w**2.
-w**2*(w + 219)*(w + 1230)
Solve -2*m**5/3 - 33164*m**4/3 + 1529686*m**3/3 - 498840*m**2 = 0 for m.
-16628, 0, 1, 45
Find p, given that -4*p**3 - 68296*p**2 - 4355292*p - 12451320 = 0.
-17010, -61, -3
Factor n**2 - 20968268*n + 109917065729956.
(n - 10484134)**2
What is f in -4*f**3/3 + 92238892*f**2/3 - 531750963195040*f/3 + 531750686478400 = 0?
3, 11529860
What is i in -14*i**5/13 - 1368*i**4/13 - 42462*i**3/13 - 384068*i**2/13 + 1088472*i/13 - 278640/13 = 0?
-43, -30, -27, 2/7, 2
Suppose -4*o**3 - 243280*o**2 - 17010544*o - 33048000 = 0. Calculate o.
-60750, -68, -2
Factor 3*o**5 - 425040*o**4 + 1700112*o**3.
3*o**3*(o - 141676)*(o - 4)
Factor w**2/4 - 1105*w - 348984.
(w - 4716)*(w + 296)/4
Find l such that -l**4 + 40488*l**3 - 364326*l**2 + 607160*l + 1011975 = 0.
-1, 5, 40479
What is r in -r**2/8 + 4313*r/2 + 37465053/8 = 0?
-1951, 19203
Factor 4*t**3 - 459348*t**2 + 1837340*t - 1377996.
4*(t - 114833)*(t - 3)*(t - 1)
Determine h so that 2*h**2 - 2683380*h - 5366768 = 0.
-2, 1341692
Determine u, given that u**3/5 + 90413*u**2/5 + 72328*u + 361636/5 = 0.
-90409, -2
Find a, given that -4*a**4 - 10472*a**3 + 6512416*a**2 + 10472*a - 6512412 = 0.
-3137, -1, 1, 519
Determine p so that p**2/3 - 79725*p - 26321350/3 = 0.
-110, 239285
Solve -k**4/2 + 159*k**3/2 + 1394*k**2 - 65232*k + 393984 = 0 for k.
-36, 8, 16, 171
Solve -c**4/10 - 2183*c**3 - 174581*c**2/10 - 54548*c/5 + 152754/5 = 0.
-21822, -7, -2, 1
Factor -m**2 - 22324*m - 9307075.
-(m + 425)*(m + 21899)
Determine h so that 5*h**2 + 1648829050*h + 135931861806195125 = 0.
-164882905
Factor 5*q**3 + 1190*q**2 + 23645*q - 24840.
5*(q - 1)*(q + 23)*(q + 216)
Let 2*w**4 + 1034224*w**3 + 133704478654*w**2 + 534779648792*w - 2807707178472 = 0. Calculate w.
-258554, -7, 3
Factor -2*s**2/3 + 668*s/3 + 632170.
-2*(s - 1155)*(s + 821)/3
Suppose -2*y**5 - 7770*y*