etermine u, given that 2*u**5 - 56860*u**4 + 227406*u**3 + 56860*u**2 - 227408*u = 0.
-1, 0, 1, 4, 28426
Determine j so that -j**3/10 + 777*j**2/2 - 46511*j/10 + 27111/2 = 0.
5, 7, 3873
Let -3*k**4 - 40689*k**3 - 10268928*k**2 - 654065664*k = 0. What is k?
-13307, -128, 0
Let -3*w**2/4 - 2056344*w - 8225373/4 = 0. What is w?
-2741791, -1
Factor -g**2 - 33225278*g - 33225277.
-(g + 1)*(g + 33225277)
Find r, given that -3*r**4/5 - 2481*r**3/5 + 147*r**2/5 + 121209*r/5 - 59544 = 0.
-827, -8, 3, 5
What is g in -141*g**3/5 + 19041*g**2/5 + 118476*g/5 - 5076/5 = 0?
-6, 2/47, 141
Determine o so that -2*o**3/9 - 25660*o**2/3 - 82295896*o + 1481634064/9 = 0.
-19246, 2
Factor -5*o**3 + 85565*o**2 + 513545*o + 427975.
-5*(o - 17119)*(o + 1)*(o + 5)
Find o, given that -5*o**3 - 19959435*o**2 - 19919121930075*o - 338619304559125 = 0.
-1995935, -17
Determine l so that -4*l**5/9 - 4102*l**4/3 + 4953998*l**3/9 - 2469818*l**2/3 + 2467766*l/9 = 0.
-3437, 0, 1/2, 1, 359
Determine m, given that 38*m**4/11 + 12500*m**3/11 - 4261066*m**2/11 - 8346288*m/11 + 451080/11 = 0.
-537, -2, 1/19, 210
Solve 3*h**3/7 - 5755*h**2/7 + 572696*h/7 + 54908 = 0 for h.
-2/3, 106, 1813
Factor -5*l**2 + 111468520*l - 621261547549520.
-5*(l - 11146852)**2
Solve -f**3 - 2455*f**2 - 414742*f - 2400288 = 0 for f.
-2273, -176, -6
Find j such that 2*j**4/9 - 182*j**3/9 - 212*j**2/9 + 2528*j/9 + 1472/3 = 0.
-3, -2, 4, 92
Let -3*v**3 - 353565*v**2 - 2121309*v - 3181923 = 0. What is v?
-117849, -3
Suppose -8*b**5 - 970*b**4 + 84550*b**3 - 362890*b**2 - 1210982*b - 278740 = 0. What is b?
-181, -2, -1/4, 7, 55
Factor 2*u**2/7 + 19784*u + 5674646/7.
2*(u + 41)*(u + 69203)/7
Factor 2*p**4/21 + 848852*p**3/21.
2*p**3*(p + 424426)/21
Suppose 5*m**2 - 1806545*m - 27099300 = 0. What is m?
-15, 361324
Find u, given that -u**5/2 - 95*u**4 - 4065*u**3 + 28820*u**2 + 81091*u/2 - 65205 = 0.
-115, -81, -2, 1, 7
Suppose -3*g**5 - 5274*g**4 - 2247984*g**3 + 61804896*g**2 - 114575616*g = 0. What is g?
-892, 0, 2, 24
Solve 3*s**5/2 + 25875*s**4/2 + 27877071*s**3 - 83721798*s**2 + 55831788*s = 0 for s.
-4314, 0, 1, 2
Solve -2304*y**4 + 7296192*y**3 - 7721096880*y**2 + 8252277586700*y/3 - 64546948732000/3 = 0.
8, 12635/12
What is m in 2*m**5/5 + 9626*m**4/5 + 16117332*m**3/5 + 10373161428*m**2/5 + 332341334370*m + 4892195951442/5 = 0?
-1527, -229, -3
Let -3*y**3 - 12738*y**2 + 76521*y - 63780 = 0. Calculate y.
-4252, 1, 5
Factor -393834*h**2/13 + 1969166*h/13 + 20/13.
-2*(h - 5)*(196917*h + 2)/13
Factor -2*f**2/15 - 115736*f/5 - 5023058136/5.
-2*(f + 86802)**2/15
What is u in -u**2/3 - 299734*u/3 = 0?
-299734, 0
Determine c, given that 54*c**2/5 + 216734*c/5 - 88308/5 = 0.
-4014, 11/27
Find d such that -8*d**3 - 17699951*d**2/2 + 18806215*d/2 - 553124 = 0.
-1106248, 1/16, 1
Suppose 4*x**2 - 338756*x - 12539448 = 0. Calculate x.
-37, 84726
Factor 4*b**3 + 48297690*b**2 + 583166618238633*b/4 - 583166811429409/4.
(b - 1)*(4*b + 24148847)**2/4
Determine b so that -3*b**3/2 + 2487*b**2/2 - 121104*b + 464616 = 0.
4, 108, 717
Determine u, given that 4*u**2 + 32731368*u + 66958903196964 = 0.
-4091421
Suppose -5*f**4/3 - 397685*f**3/3 + 13533310*f**2/3 + 165521600*f + 1107628320 = 0. What is f?
-79571, -12, 58
Factor -c**2/6 + 6458449*c/6 - 1076408.
-(c - 6458448)*(c - 1)/6
Let -2*k**2/5 - 101946*k/5 + 101948/5 = 0. Calculate k.
-50974, 1
Let -4761124*i**5/3 + 47593784*i**4/3 - 115273985*i**3/3 - 35032925*i**2/3 + 25832875*i + 9991875 = 0. Calculate i.
-1095/2182, 1, 5
Solve -2*x**3/15 - 23552*x**2/15 + 188704*x/5 - 226560 = 0 for x.
-11800, 12
Let q**5 + 365*q**4 + 8208*q**3 - 4544032*q**2 + 164150272*q - 451805952 = 0. Calculate q.
-236, 3, 52
Factor k**2/2 - 17371*k/2 + 1069314.
(k - 17247)*(k - 124)/2
Let -221015*f**4 - 4420310*f**3 - 8177755*f**2 - 3978640*f - 180 = 0. Calculate f.
-18, -1, -2/44203
Find k such that -k**4 - 160423*k**3 + 160432*k**2 + 1283380*k - 1925088 = 0.
-160424, -3, 2
Solve 4*z**2 - 196084*z + 133584120 = 0 for z.
691, 48330
Solve p**5/7 - 1543*p**4/7 - 55234*p**3/7 + 6172*p**2/7 + 31560*p = 0.
-35, -2, 0, 2, 1578
Factor -32*s**3 - 2877*s**2 + 54542*s - 5088.
-(s - 16)*(s + 106)*(32*s - 3)
Factor c**4/7 - 7319*c**3 + 656281915*c**2/7 - 1968384675*c/7.
c*(c - 25615)**2*(c - 3)/7
Find y such that 430*y**2/7 + 1471882*y/7 - 3912 = 0.
-3423, 4/215
Solve 91733851*r**4/7 + 12012252857*r**3/7 - 91343736*r**2 + 11343040*r/7 - 67072/7 = 0 for r.
-131, 8/451
Factor -2*h**2 - 13558480*h - 22979047488800.
-2*(h + 3389620)**2
Find r, given that 2*r**5 + 6200*r**4 + 6206394*r**3 + 2170749996*r**2 + 243300844800*r - 495334440000 = 0.
-1275, -276, 2
Suppose -4*q**3/3 - 268768*q**2/3 - 349024852*q/3 - 38143768792 = 0. What is q?
-65874, -659
Factor -u**3 - 9978*u**2.
-u**2*(u + 9978)
Factor -3*c**2 + 56424*c - 10003773.
-3*(c - 18629)*(c - 179)
Suppose -10*c**5/3 + 7704*c**4 + 13882*c**3 - 27740*c**2/3 - 12336*c = 0. What is c?
-2, -4/5, 0, 1, 2313
Suppose r**2 - 7832*r - 7056768 = 0. What is r?
-816, 8648
Determine k, given that 5*k**3 - 8925*k**2 + 2512720*k - 9908400 = 0.
4, 345, 1436
Solve 3*p**3/8 + 3347511*p**2/8 - 1673760*p + 3347523/2 = 0 for p.
-1115841, 2
Factor 4*v**2 + 147995920*v + 1368924521040400.
4*(v + 18499490)**2
Solve q**3/6 + 347*q**2/3 + 13585*q/6 - 206668 = 0 for q.
-671, -56, 33
Suppose -4*r**4 - 2916452*r**3 - 428653908*r**2 - 15964376716*r - 15538639256 = 0. Calculate r.
-728966, -73, -1
Suppose -q**3/7 - 148*q**2/7 + 39199*q/7 + 40186 = 0. Calculate q.
-283, -7, 142
Factor -3*t**2 - 53041260*t + 53041263.
-3*(t - 1)*(t + 17680421)
Suppose 4*b**4 + 3760*b**3 - 466716*b**2 - 4961880*b - 10584000 = 0. What is b?
-1050, -7, -3, 120
Determine g so that 3*g**5/4 + 16011*g**4/4 + 14014701*g**3/2 + 3811603635*g**2 - 379248356718*g - 12882555465192 = 0.
-1806, -27, 108
Factor -2*q**4/15 + 10927114*q**3/15 - 6633429608442*q**2/5 + 2416132540151247430*q/3 + 48322969208345489624/15.
-2*(q - 1821187)**3*(q + 4)/15
Suppose -4*k**2 - 1212*k + 9549216 = 0. What is k?
-1704, 1401
Factor -t**3/8 + 1275*t**2/4 + 38461*t/8 + 17955/4.
-(t - 2565)*(t + 1)*(t + 14)/8
Suppose 4*d**2 - 350715524*d = 0. What is d?
0, 87678881
Determine g, given that -2*g**4/5 + 1620*g**3 + 21752552*g**2/5 - 1620*g - 4350510 = 0.
-1845, -1, 1, 5895
Suppose 3*s**3/5 - 183504*s**2/5 - 68945217*s/5 - 6456186594/5 = 0. Calculate s.
-187, 61542
Factor 2*j**3/17 - 4854064*j**2/17 - 29124456*j/17.
2*j*(j - 2427038)*(j + 6)/17
Factor -2*p**3/5 - 9632*p**2/5 + 8473472*p/5 - 344207360.
-2*(p - 392)**2*(p + 5600)/5
Factor 5*z**3/2 - 242320*z**2 - 188188510*z - 36392273000.
5*(z - 97700)*(z + 386)**2/2
Find n, given that -5*n**4 + 37190*n**3 + 484315*n**2 = 0.
-13, 0, 7451
Factor l**3 + 13*l**2 - 14400*l + 393300.
(l - 95)*(l - 30)*(l + 138)
Factor -a**3/5 - 5276676*a**2/5 - 6960827402244*a/5.
-a*(a + 2638338)**2/5
Suppose -2*o**2/3 - 538202462*o/9 + 119600548/3 = 0. What is o?
-89700411, 2/3
Solve u**4/4 + 18357*u**3/4 + 201713*u**2/4 - 1706025*u/4 + 1403469/2 = 0 for u.
-18346, -17, 3
Factor -x**2 + 1025261*x + 3075792.
-(x - 1025264)*(x + 3)
What is p in 2*p**4/5 + 264356*p**3/5 - 370114*p**2 + 528740*p = 0?
-132185, 0, 2, 5
Factor 5*b**2 + 8481880*b + 169635600.
5*(b + 20)*(b + 1696356)
Let -q**4 - 65141*q**3 - 586178*q**2 + 651320*q = 0. Calculate q.
-65132, -10, 0, 1
Find q such that 3*q**3 + 9245757*q**2 + 55474461*q + 83211651 = 0.
-3081913, -3
Factor -3*n**3 - 16545*n**2 + 1495746*n - 2925288.
-3*(n - 87)*(n - 2)*(n + 5604)
Determine z, given that 2*z**4/5 - 898*z**3/5 + 34346*z**2/5 + 230538*z/5 + 358092/5 = 0.
-3, 49, 406
Factor -k**2 + 70502*k - 1127776.
-(k - 70486)*(k - 16)
Factor 3*g**3 + 527448*g**2 + 23005210800*g - 15698599128576.
3*(g - 672)*(g + 88244)**2
Suppose -x**4/3 - 6014*x**3/3 - 130811*x**2 + 802912*x/3 - 404464/3 = 0. Calculate x.
-5948, -68, 1
Solve 1486*h**3/9 + 67496*h**2/9 + 93554*h/9 + 27544/9 = 0 for h.
-44, -1, -313/743
Factor 558*j**4 - 8643*j**3 + 4095*j**2.
3*j**2*(j - 15)*(186*j - 91)
Factor q**2/3 + 1183606*q/3 + 350230790809/3.
(q + 591803)**2/3
Determine t, given that -2*t**5/9 + 624*t**4 - 61448*t**3/9 - 80188*t**2/3 + 61450*t/9 + 78316/3 = 0.
-3, -1, 1, 14, 2797
Find j, given that 45*j**3 + 107601*j**2 - 23556024*j - 3142716 = 0.
-2593, -2/15, 202
Determine h, given that -h**5 + 18748*h**4 