 180 = 0.
-5, 3, 6, 10
Find u such that 39*u**5 - 2385*u**4 + 9570*u**3 + 92340*u**2 + 116616*u - 20160 = 0.
-3, -2, 2/13, 10, 56
Factor -k**3 + 11009*k**2 + 22021*k + 11011.
-(k - 11011)*(k + 1)**2
Suppose -w**2/3 - 38*w + 45592/3 = 0. Calculate w.
-278, 164
Factor 3*x**2 + 2733*x - 55860.
3*(x - 20)*(x + 931)
Solve 5*c**4/8 - 1143*c**3/2 + 6393*c**2/8 - 913*c/4 = 0 for c.
0, 2/5, 1, 913
Factor 5*z**2 - 251880*z + 3172176720.
5*(z - 25188)**2
Find h such that h**5 + 204*h**4 - 660*h**3 - 7958*h**2 + 23955*h + 31050 = 0.
-207, -6, -1, 5
Let -5*g**3/2 + 10419845*g**2/2 - 5428653281275*g/2 - 5428663701125/2 = 0. Calculate g.
-1, 1041985
Determine h so that 44*h**2/9 - 220124*h/3 - 40024 = 0.
-6/11, 15009
Solve 4*z**4/9 - 194*z**3/9 + 620*z**2/9 + 458*z/9 - 40 = 0.
-1, 1/2, 4, 45
Solve -5*w**2 + 1748580*w - 3497140 = 0.
2, 349714
Factor 2*f**3/7 - 10*f**2/7 - 156*f.
2*f*(f - 26)*(f + 21)/7
Let 4*j**3 + 312*j**2 - 6532*j - 6840 = 0. What is j?
-95, -1, 18
Find v, given that -v**3/2 - 246649*v**2/2 + v/2 + 246649/2 = 0.
-246649, -1, 1
Suppose -20*d**3 + 685*d**2 - 5930*d + 1440 = 0. Calculate d.
1/4, 16, 18
Factor -2*p**3/11 + 3110*p**2/11 - 1278784*p/11 + 53440504/11.
-2*(p - 754)**2*(p - 47)/11
Determine q so that 240*q**5 + 6680*q**4 + 48015*q**3 + 22770*q**2 + 2795*q = 0.
-43/3, -13, -1/4, 0
Solve 4*g**5 - 2872*g**4 + 28164*g**3 + 112432*g**2 - 1406464*g + 1268736 = 0.
-7, 1, 8, 708
Suppose -3*r**4/5 + 6948*r**3 + 138999*r**2/5 + 104256*r/5 = 0. Calculate r.
-3, -1, 0, 11584
Factor -4*d**2 + 46312*d - 462720.
-4*(d - 11568)*(d - 10)
What is v in v**4 + 70888*v**3 + 1675059810*v**2 + 13194446076112*v + 13192771087189 = 0?
-23629, -1
What is o in -5*o**4 + 185*o**3 - 1435*o**2 + 2335*o - 1080 = 0?
1, 8, 27
Factor -h**3/6 + 593*h**2/2 - 1184*h + 3550/3.
-(h - 1775)*(h - 2)**2/6
Factor 20*s**5 - 22088*s**4.
4*s**4*(5*s - 5522)
Find j such that -j**2/3 - 2402*j/3 - 1442401/3 = 0.
-1201
Determine q, given that -5*q**2 - 206945*q + 206950 = 0.
-41390, 1
Let -3*h**2/5 + 29142*h/5 + 5829 = 0. Calculate h.
-1, 9715
Find r, given that -r**5/3 - 4*r**4/3 + 293*r**3 - 2578*r**2/3 - 28*r/3 + 1144 = 0.
-33, -1, 2, 26
Factor -3*y**3 - 1092*y**2 - 24480*y.
-3*y*(y + 24)*(y + 340)
Factor 6*o**4 - 1878*o**3 - 34533*o**2/2 - 39123*o.
3*o*(o - 322)*(2*o + 9)**2/2
What is q in 4*q**5 - 21214*q**4/5 + 5590314*q**3/5 + 18617884*q**2/5 + 16402624*q/5 + 3396288/5 = 0?
-2, -1, -3/10, 532
Let 8*u**4/13 - 22314*u**3/13 - 61414*u**2/13 - 2148*u + 11168/13 = 0. Calculate u.
-2, -1, 1/4, 2792
Factor 22*n**2 - 11224*n - 135720.
2*(n - 522)*(11*n + 130)
Let 4*j**5/9 + 16*j**4 + 180*j**3 + 648*j**2 = 0. What is j?
-18, -9, 0
Factor k**3/6 - 151*k**2/6 - 311*k/2 - 471/2.
(k - 157)*(k + 3)**2/6
Factor -w**4/2 - 6382*w**3 - 20377722*w**2 - 81434320*w - 81408800.
-(w + 2)**2*(w + 6380)**2/2
Let -3*r**3/5 + 180*r**2 - 8805*r + 39600 = 0. Calculate r.
5, 55, 240
Factor -3*q**4/4 + 435*q**3/2 + 244125*q**2/4.
-3*q**2*(q - 465)*(q + 175)/4
Find u such that -2*u**3/5 - 74*u**2/5 = 0.
-37, 0
Find u such that -u**3/2 - 18*u**2 + 439*u/2 - 483 = 0.
-46, 3, 7
Factor -2*t**3/9 - 5228*t**2/9 - 939170*t/9 - 14584400/3.
-2*(t + 95)**2*(t + 2424)/9
Factor 1715*l**4 - 857990*l**3 + 1101240*l**2 - 471690*l + 67365.
5*(l - 499)*(7*l - 3)**3
Factor -u**2 - 21040*u + 105225.
-(u - 5)*(u + 21045)
Let 2*n**3/7 - 488*n**2/7 - 21998*n/7 - 21508/7 = 0. What is n?
-38, -1, 283
Determine k, given that -21*k**3/2 + 3580749*k**2 - 305279569440*k - 87223026432 = 0.
-2/7, 170512
What is z in 3*z**4 - 4869*z**3 + 38703*z**2 + 92025*z + 48450 = 0?
-1, 10, 1615
Let p**4 + 3586*p**3 + 3229145*p**2 + 25604168*p = 0. What is p?
-1789, -8, 0
Determine y so that y**5 - 9*y**4 - 85*y**3 - 75*y**2 = 0.
-5, -1, 0, 15
Let u**3/3 + 13693*u**2/3 + 46771696*u/3 - 234886580 = 0. What is u?
-6854, 15
Solve -2*d**5/7 + 1720*d**4/7 - 359144*d**3/7 - 4667072*d**2/7 + 22923136*d/7 - 24332288/7 = 0.
-16, 2, 436
Factor -m**2 - 8538*m - 390632.
-(m + 46)*(m + 8492)
Find i such that 2*i**5/5 + 6*i**4 - 2358*i**3/5 + 2258*i**2/5 + 4644*i/5 = 0.
-43, -1, 0, 2, 27
Factor 8836*h**3 + 87608*h**2 - 7504*h + 160.
4*(h + 10)*(47*h - 2)**2
Factor 8*u**3/7 + 101*u**2/7 - 164*u/7 - 20.
(u - 2)*(u + 14)*(8*u + 5)/7
Factor -x**2 + 187*x + 130760.
-(x - 467)*(x + 280)
What is k in -5*k**3 + 205*k**2 - 1240*k + 1700 = 0?
2, 5, 34
Factor -2*d**3/3 - 14*d**2 + 620*d/3.
-2*d*(d - 10)*(d + 31)/3
Factor 175509504*b**2 - 688896*b + 676.
4*(6624*b - 13)**2
Factor 2*i**3/11 + 14566*i**2/11 - 14568*i/11.
2*i*(i - 1)*(i + 7284)/11
Let 3*f**3/4 - 1437*f**2 + 3462207*f/4 - 313466181/2 = 0. What is f?
334, 791
Factor r**2/6 - 1562*r/3 - 1042.
(r - 3126)*(r + 2)/6
Determine u so that 3*u**2/8 - 729*u/8 + 12663/4 = 0.
42, 201
Find i such that -i**4 - 1026*i**3 - 276916*i**2 - 6943086*i + 7221029 = 0.
-499, -29, 1
Solve q**4/12 + 431*q**3/12 - 2623*q**2/12 - 431*q/12 + 437/2 = 0.
-437, -1, 1, 6
Solve -2*u**4 - 1544*u**3 - 31782*u**2 - 180656*u - 312416 = 0 for u.
-751, -13, -4
Factor -2*y**2 + 116484*y - 1696065282.
-2*(y - 29121)**2
Factor -3*s**2/4 - 39456*s - 518925312.
-3*(s + 26304)**2/4
What is v in 4*v**3 + 34032*v**2 - 409012*v - 443040 = 0?
-8520, -1, 13
Find y, given that y**2/6 - 901*y/3 + 12565/6 = 0.
7, 1795
Solve 2*r**5 + 54*r**4 + 390*r**3 + 626*r**2 + 288*r = 0.
-16, -9, -1, 0
What is l in -5*l**2 + 97615*l - 2729300 = 0?
28, 19495
Factor 2*f**2/3 - 996*f + 2982.
2*(f - 1491)*(f - 3)/3
Find r, given that -2*r**5/7 - 5046*r**4/7 + 5060*r**3/7 + 30280*r**2/7 - 20208*r/7 - 40384/7 = 0.
-2524, -2, -1, 2
Determine f, given that -2*f**4/5 - 28*f**3 + 490*f**2 + 1660*f + 5712/5 = 0.
-84, -2, -1, 17
What is l in -5*l**4 - 665*l**3 - 19890*l**2 - 71740*l - 69160 = 0?
-91, -38, -2
What is m in -m**5/6 - 113*m**4/6 + 407*m**3 + 5546*m**2/3 + 5764*m/3 = 0?
-131, -2, 0, 22
Factor -3*c**4/2 - 10491*c**3/2 + 94581*c**2/2 - 283905*c/2 + 141993.
-3*(c - 3)**3*(c + 3506)/2
Solve 4*k**5 + 12*k**4 - 988*k**3 + 2916*k**2 + 21384*k - 23328 = 0.
-18, -4, 1, 9
Find k such that -5*k**2 - 14795*k = 0.
-2959, 0
Let -j**3/4 + 1281*j**2/4 - 637*j/2 - 1920 = 0. What is j?
-2, 3, 1280
Determine m so that 3*m**2/2 - 1855569*m/2 - 927786 = 0.
-1, 618524
Factor -3*k**2 + 166962*k - 333912.
-3*(k - 55652)*(k - 2)
Let 4*i**5/9 + 1184*i**4/9 + 8140*i**3/9 + 13856*i**2/9 - 4688*i/9 - 18496/9 = 0. What is i?
-289, -4, -2, 1
Solve 14*q**3/5 - 3602*q**2/5 - 13588*q/5 + 4176/5 = 0.
-4, 2/7, 261
Factor p**3/6 - 997*p**2 + 27867*p/2 - 146216/3.
(p - 5968)*(p - 7)**2/6
Let -1302*a**3 + 29955*a**2 - 207*a = 0. What is a?
0, 3/434, 23
Factor -2*d**3/15 + 14954*d**2/15 - 27945286*d/15 - 27960242/15.
-2*(d - 3739)**2*(d + 1)/15
Suppose k**2/3 - 500*k/3 - 1004/3 = 0. Calculate k.
-2, 502
Let 841*j**3/2 - 3567*j**2/2 - 3069*j/2 - 605/2 = 0. Calculate j.
-11/29, 5
Factor -2*m**4 + 2876124*m**3 - 1034008281794*m**2 - 2068025191968*m - 1034014034048.
-2*(m - 719032)**2*(m + 1)**2
Find w such that -40*w**3 - 33165*w**2 + 331455*w + 41950 = 0.
-839, -1/8, 10
Find o such that 4*o**3/7 - 1336*o**2/7 + 9196*o/7 - 13080/7 = 0.
2, 5, 327
Factor -3*t**3/5 - 2556*t**2/5 + 20619*t/5 - 3612.
-3*(t - 7)*(t - 1)*(t + 860)/5
Let 8*g**5/5 + 78*g**4/5 + 76*g**3/5 - 344*g**2/5 - 432*g/5 + 128/5 = 0. Calculate g.
-8, -2, 1/4, 2
Suppose -5*v**3 + 415*v**2 - 10440*v + 71280 = 0. Calculate v.
11, 36
Solve 5*v**5 - 700*v**4 + 23780*v**3 + 51110*v**2 - 23785*v - 50410 = 0 for v.
-2, -1, 1, 71
Factor -d**2 + 95*d + 96.
-(d - 96)*(d + 1)
Suppose -z**3/2 - 1744*z**2 - 6970*z - 6968 = 0. What is z?
-3484, -2
Suppose -120*d**3 + 254*d**2 - 170*d + 36 = 0. Calculate d.
9/20, 2/3, 1
What is h in -2*h**2/5 + 215452*h/5 + 646374/5 = 0?
-3, 107729
Determine f so that f**4/7 + 674*f**3/7 + 81733*f**2/7 - 1532676*f + 36197532 = 0.
-379, 42
Factor 2*w**2 + 1849152*w + 427420389888.
2*(w + 462288)**2
Factor 243*f**3 + 249912*f**2 + 111036*f + 12336.
3*(f + 1028)*(9*f + 2)**2
Determine a so that -a**5/4 - 59*a**4/4 - 357*a**3/2 - 567*a**2 + 1350*a + 7128 = 0.
-44, -6, 3
Let l**2/7 - 33875*l/7 - 271064/7 = 0. Calculate l.
-8, 33883
Factor -4*z**3 - 540*z**2 - 8088*z - 7552.
-4*(z + 1)*(z + 16)*(z + 118)
Solve -2*l**2 + 142560*l - 2540419200 = 0 for l.
35640
Find y such that -14*y**2/3 - 303424*y/3 - 43346/3 = 0.
-21673, -1/7
Let 3*x**4/7