8*p + 616.
2*(p + 11)*(p + 28)
Let -2*q**3 - 288*q**2 - 13674*q - 213484 = 0. What is q?
-53, -38
Factor 4*t**2 - 15676*t.
4*t*(t - 3919)
Factor -3*x**2/5 - 36624*x/5 - 36621/5.
-3*(x + 1)*(x + 12207)/5
Suppose 5*s**3/6 + 1085*s**2 + 244400*s/3 = 0. Calculate s.
-1222, -80, 0
Suppose w**4 + 19*w**3 + 17*w**2 - 19*w - 18 = 0. Calculate w.
-18, -1, 1
Determine o so that 12*o**3 - 517724*o**2 + 862848*o - 345136 = 0.
2/3, 1, 43142
Suppose 14*w**3 + 388972*w**2 + 2701716160*w - 771950656 = 0. Calculate w.
-13892, 2/7
Factor 2*r**3/7 - 54*r**2/7 - 5148*r/7.
2*r*(r - 66)*(r + 39)/7
Factor -2*u**2 + 289828*u - 10500033698.
-2*(u - 72457)**2
Factor -3*b**2 + 1149*b - 7896.
-3*(b - 376)*(b - 7)
Suppose 16*a**3/5 + 1272*a**2/5 - 7359*a/5 - 1591328/5 = 0. Calculate a.
-223/4, 32
Factor 4*h**3/3 - 24716*h**2/3 + 13179396*h - 1385996076.
4*(h - 3033)**2*(h - 113)/3
Factor -l**3/5 - 66708*l**2/5 - 1112489316*l/5.
-l*(l + 33354)**2/5
Suppose -4*t**2 + 6304*t + 18948 = 0. What is t?
-3, 1579
Factor 55*c**2/2 - 14735*c/2 + 6675.
5*(c - 267)*(11*c - 10)/2
Find c, given that -2*c**2/9 + 62264*c/3 - 484600712 = 0.
46698
Factor d**5/4 - 4791*d**4/2 + 9581*d**3/4.
d**3*(d - 9581)*(d - 1)/4
Determine l, given that l**4 + 303*l**3 + 1201*l**2 + 1497*l + 598 = 0.
-299, -2, -1
Factor 3*n**3/2 + 903*n**2 + 12405*n/2 - 26775.
3*(n - 3)*(n + 10)*(n + 595)/2
Factor 2*u**4/7 - 29690*u**3/7 + 8482*u**2 - 29686*u/7.
2*u*(u - 14843)*(u - 1)**2/7
Solve 2*l**4/11 - 4912*l**3/11 + 258576*l**2 + 210764096*l/11 + 3682192928/11 = 0 for l.
-34, 1262
Determine d, given that 5*d**5 - 30*d**4 - 125*d**3 - 90*d**2 = 0.
-2, -1, 0, 9
Solve -x**4/6 + 28*x**3/3 - 311*x**2/6 + 278*x/3 - 50 = 0.
1, 2, 3, 50
Determine k so that 4*k**2 + 191216*k + 2285222416 = 0.
-23902
Suppose -t**5 - 47*t**4/3 - 71*t**3/3 + 1067*t**2/3 + 734*t/3 - 120 = 0. Calculate t.
-10, -9, -1, 1/3, 4
Factor 3*k**3/5 + 63*k**2/5 - 135*k + 609/5.
3*(k - 7)*(k - 1)*(k + 29)/5
Factor z**2/9 - 37102*z/9 + 344139601/9.
(z - 18551)**2/9
What is f in -3*f**5/2 + 12*f**4 + 69*f**3 - 192*f**2 - 495*f/2 = 0?
-5, -1, 0, 3, 11
What is d in -4*d**4 - 620*d**3 + 35904*d**2 - 607232*d + 3325952 = 0?
-203, 16
Factor -2*k**2 - 48972*k - 299782098.
-2*(k + 12243)**2
Suppose -36*o**2 + 57232*o + 12720 = 0. Calculate o.
-2/9, 1590
Let -20*d**5 + 1152*d**4 - 5956*d**3 + 6792*d**2 + 3744*d = 0. Calculate d.
-2/5, 0, 3, 52
Factor 4*f**3 + 376*f**2 - 2364*f + 3600.
4*(f - 3)**2*(f + 100)
Determine b so that -b**5/3 - 12*b**4 + 704*b**3/3 - 1030*b**2 + 1169*b/3 + 1666 = 0.
-51, -1, 2, 7
Find v, given that -2*v**4 - 160*v**3 - 3038*v**2 = 0.
-49, -31, 0
Factor f**3/6 - 205*f**2/2 - 929*f/3 + 412.
(f - 618)*(f - 1)*(f + 4)/6
Find d, given that -d**5/4 + 7*d**4/8 + 151*d**3/8 + 205*d**2/8 - 581*d/8 + 55/2 = 0.
-5, -4, 1/2, 1, 11
Factor -2*m**4/3 + 68*m**3/3 + 72*m**2 - 9072*m + 77760.
-2*(m - 18)**3*(m + 20)/3
Let 50*v**5/13 - 13370*v**4/13 - 462348*v**3/13 + 181997964*v**2/13 + 700332642*v - 9285846642/13 = 0. Calculate v.
-339/5, 1, 201
Find m, given that 4*m**3 - 304*m**2 + 300*m = 0.
0, 1, 75
Let -4*s**4 + 4956*s**3 + 24932*s**2 - 64716*s + 34832 = 0. Calculate s.
-7, 1, 1244
Factor -2*g**3 + 12*g**2 + 1544*g - 3120.
-2*(g - 30)*(g - 2)*(g + 26)
Determine u, given that -2*u**4/7 - 894*u**3/7 + 4820*u**2 = 0.
-482, 0, 35
Find p, given that p**3/2 - 43*p**2 + 411*p/2 - 243 = 0.
2, 3, 81
What is x in 10*x**2/9 + 6436*x/9 + 6346 = 0?
-3173/5, -9
Factor a**3/7 - 11303*a**2/7 + 31933800*a/7 + 31945104/7.
(a - 5652)**2*(a + 1)/7
Factor 5*o**3 + 11370*o**2 + 6486525*o + 25764500.
5*(o + 4)*(o + 1135)**2
Factor -h**3/2 + 25*h**2 + 1122*h - 2340.
-(h - 78)*(h - 2)*(h + 30)/2
Suppose -q**4 - 12*q**3 - 16*q**2 + 48*q + 80 = 0. Calculate q.
-10, -2, 2
Suppose -5*j**2 - 490390*j - 12024117605 = 0. Calculate j.
-49039
Factor 2*t**2 - 332*t + 7050.
2*(t - 141)*(t - 25)
Solve -k**2 - 94492*k - 2232184516 = 0.
-47246
Determine u so that -2*u**2/13 - 40540*u/13 - 205436450/13 = 0.
-10135
Factor y**4/5 - y**3/5 - 54*y**2/5 + 144*y/5.
y*(y - 6)*(y - 3)*(y + 8)/5
Solve 4*j**5 - 200*j**4 - 296*j**3 + 4704*j**2 - 252*j - 18360 = 0 for j.
-5, -2, 3, 51
Let v**2/2 + 614982*v + 189101430162 = 0. What is v?
-614982
Factor 5*p**2 - 360780*p - 360785.
5*(p - 72157)*(p + 1)
Determine p so that -5*p**5 - 3760*p**4 - 58920*p**3 - 28160*p**2 + 940400*p - 1236480 = 0.
-736, -14, -6, 2
Suppose -m**4 + 288*m**3 + 1756*m**2 + 2352*m = 0. What is m?
-4, -2, 0, 294
Factor -3*r**4/5 - 414*r**3/5 - 6171*r**2/5.
-3*r**2*(r + 17)*(r + 121)/5
Let -2*c**2/5 - 214*c/5 + 3564 = 0. Calculate c.
-162, 55
Factor 4*z**3 - 1472*z**2 + 10148*z - 14440.
4*(z - 361)*(z - 5)*(z - 2)
Factor -v**3/8 + 29707*v**2/8 + 59417*v/8 + 29709/8.
-(v - 29709)*(v + 1)**2/8
Solve 4*g**4 + 79248*g**3 + 523353792*g**2 + 1152076147456*g = 0 for g.
-6604, 0
Suppose 132*u**2 + 29468*u + 29336 = 0. Calculate u.
-7334/33, -1
What is a in -3*a**5 + 141*a**4 + 198*a**3 - 8922*a**2 - 17859*a - 8883 = 0?
-7, -1, 9, 47
Factor j**3/9 - 6863*j**2/9 + 13723*j/9 - 2287/3.
(j - 6861)*(j - 1)**2/9
Factor -k**2/5 - 654*k/5 - 3888/5.
-(k + 6)*(k + 648)/5
Find j, given that 3*j**4/4 - 33*j**3/4 - 1053*j**2/4 + 33*j/4 + 525/2 = 0.
-14, -1, 1, 25
Let -2*o**5/3 + 128*o**4/3 - 162*o**3 + 120*o**2 = 0. Calculate o.
0, 1, 3, 60
Factor -675*j**3 - 76365*j**2 + 266253*j/4 - 28899/2.
-3*(j + 114)*(30*j - 13)**2/4
Let o**2 + 52317*o - 104638 = 0. Calculate o.
-52319, 2
Factor -c**2/3 + 619180*c - 287537904300.
-(c - 928770)**2/3
Let 5*f**4 - 80*f**2 = 0. What is f?
-4, 0, 4
Let 2*k**3/17 - 456*k**2/17 - 10418*k/17 - 9960/17 = 0. What is k?
-20, -1, 249
Let -15*d**5 - 6651*d**4 - 28953*d**3 + 9507*d**2 + 126540*d + 47412 = 0. What is d?
-439, -3, -2/5, 2
Solve -2*k**2/15 + 1952*k/15 - 100352/5 = 0.
192, 784
Factor 5*y**3 - 95*y**2 - 6445*y - 6345.
5*(y - 47)*(y + 1)*(y + 27)
What is r in -r**2 - 441758*r - 48787532641 = 0?
-220879
Solve 3*l**2 - 370206*l + 11421040203 = 0.
61701
Factor 1004*q**2/3 + 7030*q/3 + 14/3.
2*(q + 7)*(502*q + 1)/3
Let 5*j**5 + 1400*j**4 - 42030*j**3 + 334420*j**2 - 402935*j - 780780 = 0. Calculate j.
-308, -1, 3, 13
What is w in -w**5 - 102*w**4 - 3454*w**3 - 44820*w**2 - 247681*w - 494214 = 0?
-41, -7, -6
Factor 3*s**5 - 417*s**4 + 4572*s**3.
3*s**3*(s - 127)*(s - 12)
Determine b so that 2*b**3/3 + 286*b**2 + 27642*b + 82070/3 = 0.
-283, -145, -1
Find q such that -q**2 - 65780*q - 1081752100 = 0.
-32890
Suppose -2*l**3/9 - 2680*l**2/9 + 272462*l/9 - 269780/9 = 0. What is l?
-1435, 1, 94
Factor 5*f**2 - 5320*f + 52700.
5*(f - 1054)*(f - 10)
Solve -5*n**4 - 85*n**3 + 640*n**2 + 1620*n - 7920 = 0 for n.
-22, -4, 3, 6
Factor 3*a**2 + 6054*a + 3054243.
3*(a + 1009)**2
Factor -497*b**4/6 + 166*b**3 - 2*b**2/3.
-b**2*(b - 2)*(497*b - 2)/6
What is k in -5*k**5 - 1266*k**4 + 4867*k**3 - 4116*k**2 - 1028*k = 0?
-257, -1/5, 0, 2
Solve -3*l**4/4 - 13773*l**3/2 - 82599*l**2/4 + 27537*l = 0.
-9179, -4, 0, 1
Suppose 3*t**3/2 - 639579*t**2/2 = 0. Calculate t.
0, 213193
Find y, given that -2*y**3 - 190*y**2 + 98*y + 9310 = 0.
-95, -7, 7
Find l, given that -l**2/4 - 1485*l/2 - 2969/4 = 0.
-2969, -1
Solve -2*u**2/9 - 33616*u/9 - 141254432/9 = 0 for u.
-8404
Solve -2*o**3/3 + 238*o**2/9 - 376*o/9 - 152/9 = 0.
-1/3, 2, 38
Find p, given that 4685*p**3/3 + 14045*p**2/3 - 18770*p/3 + 40/3 = 0.
-4, 2/937, 1
Factor 3*g**2 - 2003600*g - 667867.
(g - 667867)*(3*g + 1)
Factor 5*r**4 + 395*r**3 - 3095*r**2 - 7355*r - 3870.
5*(r - 9)*(r + 1)**2*(r + 86)
Factor n**3/2 - 497*n**2/2 - 2030*n + 5050.
(n - 505)*(n - 2)*(n + 10)/2
Determine b, given that -2*b**5/7 - 2840*b**4/7 + 2868*b**3/7 + 36896*b**2/7 - 71026*b/7 + 4872 = 0.
-1421, -4, 1, 3
Factor -4*l**2/7 + 88764*l/7 + 88792.
-4*(l - 22198)*(l + 7)/7
Let 2*b**4 + 240*b**3 + 5898*b**2 - 78260*b + 202800 = 0. What is b?
-65, 4, 6
What is f in -7620*f**5 - 135920*f**4 - 709195*f**3 - 856230*f**2 + 159200*f + 640 = 0?
-8, -2, -1/254, 1/6
What is h in -h**2/7 - 30804*h/7 - 237221604/7 = 0?
-15402
Let -4*g**5/5 + 12488*g**4/5 + 175564*g**3/5 + 163072*g**2/5 = 0. Calculate g.
-13, -1, 0, 3136
Factor -755*j**2 + 10020*j + 7700.
-5*(j - 14)*(151*j + 110)
Let -q**5/2 + 365*q**4/2 - 33847*q**3/2 + 98279*q**2/2 + 724*q - 65522 = 0. What is q?
-1, 2, 181
Determine o, given that 2*o**3/5 - 1978*o**2/5 - 5952