*(r + 1)*(r + 4)/3
Factor -2*h**2/9 - 736*h/9 - 46904/9.
-2*(h + 82)*(h + 286)/9
Factor -4*s**2 - 15760912*s - 15525396691984.
-4*(s + 1970114)**2
Determine o so that -2*o**2/11 + 4650868*o/11 - 2703821644178/11 = 0.
1162717
Let -2*r**3 - 18660*r**2 = 0. Calculate r.
-9330, 0
Find j such that 5*j**4/6 - 85*j**3/3 - 170*j**2 + 255*j + 2925/2 = 0.
-5, -3, 3, 39
Let 3*q**3 - 357*q**2 - 203928*q - 14169168 = 0. What is q?
-116, 351
Solve 3*u**3 + 1542*u**2 - 43821*u = 0 for u.
-541, 0, 27
Factor l**3/2 + 159*l**2/2 + 1932*l + 12838.
(l + 14)**2*(l + 131)/2
Determine t, given that -2*t**4/3 - 100*t**3/3 - 288*t**2 + 2700*t - 4554 = 0.
-33, -23, 3
Determine o, given that -309*o**5/7 + 354*o**4 + 108102*o**3/7 - 743700*o**2/7 - 842175*o + 114750/7 = 0.
-17, -5, 2/103, 15
Find w, given that -w**2/3 + 11746*w/3 - 34492129/3 = 0.
5873
Factor 3*t**4 + 63*t**3 + 348*t**2 + 288*t.
3*t*(t + 1)*(t + 8)*(t + 12)
What is o in -3*o**2 - 17298*o - 172680 = 0?
-5756, -10
Factor w**2/4 - 767577*w/2 + 589174450929/4.
(w - 767577)**2/4
Solve -21*z**4 - 38310*z**3 - 49185*z**2 + 65640*z + 21876 = 0.
-1823, -2, -2/7, 1
Let 5*d**4 + 19245*d**3 - 115590*d**2 + 231260*d - 154200 = 0. What is d?
-3855, 2
Determine u, given that 3*u**2 - 498891*u + 498888 = 0.
1, 166296
Find t such that -t**4/6 - 16611*t**3/2 - 49831*t**2/2 - 149491*t/6 - 8305 = 0.
-49830, -1
Determine n so that n**3 - 14224*n**2 - 199283*n - 697662 = 0.
-7, 14238
Factor m**2 - 361*m + 3850.
(m - 350)*(m - 11)
Suppose 9*b**5 + 178*b**4 - 720*b**3 - 1090*b**2 + 3111*b + 3312 = 0. Calculate b.
-23, -16/9, -1, 3
Factor -w**5/3 + 2*w**4/3 + 541*w**3 - 1624*w**2/3 - 659344*w/3.
-w*(w - 29)**2*(w + 28)**2/3
Determine w, given that -4*w**3/3 + 1736*w**2/3 + 256444*w/3 + 8275504/3 = 0.
-61, 556
Solve -5*l**3 - 1155*l**2 - 18100*l + 19260 = 0.
-214, -18, 1
Suppose -4*q**2/5 - 348*q/5 + 368 = 0. What is q?
-92, 5
Factor -b**2/3 + 11162*b/3 - 22312.
-(b - 11156)*(b - 6)/3
What is n in 2*n**2 - 290*n + 10292 = 0?
62, 83
Find i, given that -22*i**5/5 + 278*i**4/5 - 534*i**3/5 - 518*i**2/5 + 556*i/5 + 48 = 0.
-1, -4/11, 1, 3, 10
Factor -2*t**4/13 + 11836*t**3/13 - 11834*t**2/13.
-2*t**2*(t - 5917)*(t - 1)/13
Factor -2*x**2 + 120*x + 27000.
-2*(x - 150)*(x + 90)
Factor -2*k**2/7 + 5800*k/7 - 46272/7.
-2*(k - 2892)*(k - 8)/7
Factor -4*m**2/5 + 20768*m/5 + 20772/5.
-4*(m - 5193)*(m + 1)/5
Find v such that 4*v**4 - 430724*v**3 + 430720*v**2 = 0.
0, 1, 107680
Determine d, given that 3*d**3/5 - 1539*d**2/5 + 39933*d - 117045 = 0.
3, 255
Factor -4*x**3/7 - 40*x**2 - 5036*x/7 - 680.
-4*(x + 1)*(x + 34)*(x + 35)/7
Suppose 2*z**2 - 7058*z + 14108 = 0. Calculate z.
2, 3527
Factor -2*s**3 - 8468*s**2 - 9005568*s - 89210880.
-2*(s + 10)*(s + 2112)**2
Suppose -39*m**4 + 68292*m**3 - 29864589*m**2 - 27630792*m + 2302128 = 0. What is m?
-1, 1/13, 876
Find l such that -2*l**3/5 + 94886*l**2 - 28135715326*l/5 + 28135240898/5 = 0.
1, 118607
Factor 4*r**4 + 520*r**3 - 2188*r**2 - 5920*r - 3216.
4*(r - 6)*(r + 1)**2*(r + 134)
Find q such that 2*q**3/13 - 56*q**2 + 19208*q/13 - 131712/13 = 0.
14, 336
Find a such that 2*a**2 - 480*a - 4482 = 0.
-9, 249
Factor 3*m**2 + 155691*m + 155688.
3*(m + 1)*(m + 51896)
Let n**4/3 + 15*n**3 + 308*n**2/3 + 148*n = 0. What is n?
-37, -6, -2, 0
Factor 3*j**2/5 + 980916*j/5 + 80183016588/5.
3*(j + 163486)**2/5
Factor 3*o**2/5 + 9894*o/5.
3*o*(o + 3298)/5
Factor 20*w**3/3 - 1492*w**2/3 - 1760*w - 624.
4*(w - 78)*(w + 3)*(5*w + 2)/3
Determine g, given that -g**2 - 354*g - 8528 = 0.
-328, -26
Factor 3*m**3/7 - 12042*m**2/7 + 96192*m/7 - 192288/7.
3*(m - 4006)*(m - 4)**2/7
Let n**5 + 859*n**4 + 175248*n**3 - 3953140*n**2 + 24622400*n - 34848000 = 0. Calculate n.
-440, 2, 9, 10
Factor k**3/7 + 93*k**2/7 - 918*k/7.
k*(k - 9)*(k + 102)/7
Let -550*f**5 + 66020*f**4 + 2974398*f**3/11 - 108880*f**2/11 + 992*f/11 = 0. Calculate f.
-4, 0, 1/55, 124
Determine x, given that 12*x**5/5 + 22*x**4 - 522*x**3/5 - 1062*x**2/5 + 3726*x/5 + 648/5 = 0.
-12, -3, -1/6, 3
Factor o**2 + 16238*o - 16239.
(o - 1)*(o + 16239)
Suppose -9*w**3 - 91884*w**2 + 704913*w - 613020 = 0. Calculate w.
-10217, 1, 20/3
Factor 5*x**2 - 1575*x + 4680.
5*(x - 312)*(x - 3)
Suppose 2*q**2 + 366964*q + 16832822162 = 0. Calculate q.
-91741
Factor 2*g**2/9 + 100*g/3 + 1008.
2*(g + 42)*(g + 108)/9
What is m in m**4/4 - 21*m**3/2 + 597*m**2/4 - 803*m + 1089 = 0?
2, 11, 18
Let -4*x**3 - 1300*x**2 + 20704*x + 103360 = 0. What is x?
-340, -4, 19
Factor -3*q**2 + 1140*q - 11100.
-3*(q - 370)*(q - 10)
Determine g so that 2*g**5/5 - 5134*g**4/5 - 5138*g**3/5 + 5134*g**2/5 + 5136*g/5 = 0.
-1, 0, 1, 2568
Let 3*h**4/5 + 3429*h**3 + 171201*h**2/5 + 290979*h/5 + 27384 = 0. What is h?
-5705, -8, -1
What is f in 11*f**3/2 - 99251*f**2/2 - 58655*f - 9024 = 0?
-1, -2/11, 9024
Let -2*x**2/7 + 175328*x/7 + 175330/7 = 0. What is x?
-1, 87665
Factor 56*v**3 - 450*v**2 + 856*v - 30.
2*(v - 5)*(v - 3)*(28*v - 1)
Suppose 23*h**4 - 2049*h**3 + 11747*h**2 - 10551*h + 830 = 0. What is h?
2/23, 1, 5, 83
Suppose -2*n**3 - 1574*n**2 - 178480*n + 56285600 = 0. Calculate n.
-460, 133
Factor 2*g**4/9 + 24062*g**3/9 + 24058*g**2/3 + 72170*g/9 + 24056/9.
2*(g + 1)**3*(g + 12028)/9
Solve -17*c**3/4 + 63*c**2 + 7695*c/4 + 675/2 = 0 for c.
-15, -3/17, 30
Solve 8*j**2 + 250*j + 1488 = 0.
-93/4, -8
Factor -2*t**4/7 + 4784*t**3/7 - 2879904*t**2/7 + 22810112*t/7 - 45467648/7.
-2*(t - 1192)**2*(t - 4)**2/7
Factor -3*z**3 + 5472*z**2 - 16305*z - 152964.
-3*(z - 1821)*(z - 7)*(z + 4)
Determine w, given that -155*w**2 - 45*w + 110 = 0.
-1, 22/31
Solve 2*m**4/5 + 106*m**3/5 - 1970*m**2 + 9270*m = 0 for m.
-103, 0, 5, 45
Factor -o**3/3 + 8305*o**2/3 + 33232*o/3 + 33236/3.
-(o - 8309)*(o + 2)**2/3
Determine w so that 2*w**2 + 1282*w + 5096 = 0.
-637, -4
Solve -p**3/3 + 10*p**2/3 + 13*p/3 - 22/3 = 0.
-2, 1, 11
Let -3893*l**2/6 - 7789*l/12 - 1/4 = 0. Calculate l.
-1, -3/7786
Solve p**4 - 566*p**3 + 82320*p**2 - 631098*p + 1167615 = 0 for p.
3, 5, 279
Factor -d**2/7 + 339*d/7 - 2264.
-(d - 283)*(d - 56)/7
Solve -p**5 + 11*p**4 + 422*p**3 - 1242*p**2 - 60021*p - 263169 = 0 for p.
-9, 19
Determine q, given that -20*q**5 - 9952*q**4 - 1185156*q**3 + 13165496*q**2 - 32172656*q + 10838688 = 0.
-254, 2/5, 3, 7
What is u in -5*u**2/8 + 19059*u/4 + 1906 = 0?
-2/5, 7624
Solve 8*y**5 - 166*y**4 + 272*y**3 - 114*y**2 = 0 for y.
0, 3/4, 1, 19
Factor 4*n**3 + 940*n**2 + 29944*n.
4*n*(n + 38)*(n + 197)
Solve 5*x**4 + 2980*x**3 + 406820*x**2 - 11085600*x + 69192000 = 0 for x.
-310, 12
Determine o so that -o**5/2 + 7*o**4 + 855*o**3/2 - 28*o**2 - 1702*o = 0.
-23, -2, 0, 2, 37
Determine z, given that -4*z**5 - 308*z**4 - 2508*z**3 - 4108*z**2 - 1904*z = 0.
-68, -7, -1, 0
Suppose -3*g**2/8 + 8895*g/8 - 26631/4 = 0. What is g?
6, 2959
Suppose 14*h**4/9 + 4652*h**3/9 - 8360*h**2/9 - 114992*h/9 - 10688/3 = 0. What is h?
-334, -4, -2/7, 6
Determine w, given that 4*w**3/7 + 106452*w**2/7 = 0.
-26613, 0
Factor 5*d**2 - 23255*d + 830700.
5*(d - 4615)*(d - 36)
What is p in 3*p**2 - 903*p - 52650 = 0?
-50, 351
Suppose -3*f**2 - 283404*f - 283401 = 0. Calculate f.
-94467, -1
Factor -3*m**3/7 + 606*m**2/7 - 5397*m + 107016.
-3*(m - 104)*(m - 49)**2/7
Let -55*f**2 - 940670*f - 85515 = 0. What is f?
-17103, -1/11
Find c, given that 2*c**4/3 - 41452*c**3/3 - 235034*c**2 - 3318752*c/3 - 2655104/3 = 0.
-8, -1, 20743
Solve -125*o**5 - 5025*o**4 - 45795*o**3 + 94205*o**2 - 52080*o + 8820 = 0 for o.
-21, 2/5, 1
Determine p, given that -8*p**3/11 - 755154*p**2/11 - 154460*p - 377568/11 = 0.
-94392, -2, -1/4
Let 3*u**2 + 1848*u + 7344 = 0. What is u?
-612, -4
Let -2*u**3/5 - 214*u**2/5 - 4272*u/5 - 23904/5 = 0. What is u?
-83, -12
Find b such that -2*b**2 - 83040*b - 861955200 = 0.
-20760
Factor 1250*j**3/13 + 149900*j**2 + 1869888*j/13 + 448704/13.
2*(j + 1558)*(25*j + 12)**2/13
Solve 22*t**2/3 - 45604*t/3 = 0 for t.
0, 22802/11
What is a in 4359*a**2 + 4464*a + 105 = 0?
-1, -35/1453
Let 2*t**2/3 + 54560*t/3 + 436352/3 = 0. What is t?
-27272, -8
What is v in 2*v**2/5 - 6492*v + 713152/5 = 0?
22, 16208
Solve s**2/7 - 2404*s/7 + 101523/7 = 0 for s.
43, 2361
Factor -3*c**4 + 78*c**3 + 441*c**2 + 732*c + 372.
-3*(c - 31)*(c + 1)*(c + 2)**2
Suppose -27*n**5/2 - 3*n**4/2 + 906*n**3 + 126*n**2 - 2688*n - 1920 = 0. What is n?
-8, -10/9, -1, 2, 8
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