alculate r.
663644
Find k, given that 3*k**3 + 27540*k**2 + 27531*k - 55074 = 0.
-9179, -2, 1
Determine y so that -3*y**2/7 + 9*y - 114/7 = 0.
2, 19
Factor -z**4 + 247*z**3 - 10384*z**2 + 19788*z.
-z*(z - 194)*(z - 51)*(z - 2)
Solve -5*i**4/3 - 227480*i**3/3 - 862300840*i**2 + 10350340000*i/3 - 10351250000/3 = 0.
-22750, 2
Factor -2*r**2/3 + 2858*r/3 - 2852.
-2*(r - 1426)*(r - 3)/3
Factor 2*a**4/7 - 2704*a**3/7 + 4608*a**2 - 128768*a/7 + 171520/7.
2*(a - 1340)*(a - 4)**3/7
Suppose 3*u**3 + 711*u**2 + 23166*u = 0. Calculate u.
-198, -39, 0
Solve -5*l**3 - 14960*l**2 + 5*l + 14960 = 0.
-2992, -1, 1
Suppose 5*g**3 + 52815*g**2 + 527595*g - 580415 = 0. Calculate g.
-10553, -11, 1
Solve 2*p**2 + 3256*p - 6520 = 0 for p.
-1630, 2
Find n, given that -n**5/2 - 47*n**4 + 205*n**3/2 + 617*n**2 - 684*n - 1152 = 0.
-96, -3, -1, 2, 4
Factor -2*x**2/7 - 1008928*x/7.
-2*x*(x + 504464)/7
Factor -t**2 + 10*t + 816.
-(t - 34)*(t + 24)
Suppose p**5 + 2*p**4 - 511*p**3 - 3872*p**2 - 5700*p = 0. What is p?
-19, -6, -2, 0, 25
Find f such that 2*f**2 + 42268*f - 380574 = 0.
-21143, 9
Determine v so that 4*v**4 - 2296*v**3 + 13488*v**2 + 81632*v + 90880 = 0.
-2, 10, 568
Factor 2*k**4/7 - 478*k**3/7 + 960*k**2.
2*k**2*(k - 224)*(k - 15)/7
Suppose 2*y**3/11 + 206*y**2/11 - 850*y/11 + 642/11 = 0. Calculate y.
-107, 1, 3
Find f such that 2073*f**4 - 12432*f**3 - 74664*f**2 + 447552*f + 1296 = 0.
-6, -2/691, 6
Factor -3*q**2/7 + 411*q/7 + 90270/7.
-3*(q - 255)*(q + 118)/7
Factor i**3/3 - 80*i**2 + 6000*i - 400000/3.
(i - 100)**2*(i - 40)/3
Factor -5*s**3 - 15015*s**2 - 253620*s + 567340.
-5*(s - 2)*(s + 19)*(s + 2986)
Factor 1495*x**2/2 + 28407*x/2 + 19.
(x + 19)*(1495*x + 2)/2
What is i in i**5 + 1884*i**4 + 904077*i**3 + 15668802*i**2 = 0?
-933, -18, 0
Factor -n**2/2 + 15001*n/2 - 7500.
-(n - 15000)*(n - 1)/2
What is j in 796005*j**3 + 43890*j**2 + 605*j = 0?
-11/399, 0
Solve -f**5 - 37*f**4 + 1915*f**3 + 37*f**2 - 1914*f = 0 for f.
-66, -1, 0, 1, 29
Suppose -2*i**3/3 + 160*i**2/3 + 5512*i/3 = 0. Calculate i.
-26, 0, 106
Factor 2*t**3 + 3666*t**2 - 279498*t + 5221366.
2*(t - 37)**2*(t + 1907)
Factor 3*c**2 + 427512*c + 15230542512.
3*(c + 71252)**2
Solve -3*r**4 + 15*r**3 + 19422*r**2 = 0 for r.
-78, 0, 83
Factor 3*q**3 + 21057*q**2 - 21060*q.
3*q*(q - 1)*(q + 7020)
Let 27*u**2/5 + 764499*u/5 - 33978 = 0. What is u?
-28315, 2/9
Suppose 2*v**3/7 + 992*v**2/7 + 121000*v/7 - 500000/7 = 0. What is v?
-250, 4
Find i such that -11*i**4 - 1689*i**3 - 19080*i**2 - 56052*i = 0.
-1557/11, -6, 0
Suppose 4*d**2 - 87904*d + 482944576 = 0. What is d?
10988
Factor -2*p**2/13 + 480*p/13 - 5038/13.
-2*(p - 229)*(p - 11)/13
Solve -2*c**2 + 1568*c + 48840 = 0 for c.
-30, 814
Find l, given that -4*l**4 - 1432*l**3 + 202332*l**2 - 596912*l + 396016 = 0.
-467, 1, 2, 106
Let x**4 - 112*x**3 - 1322*x**2 - 3792*x - 2583 = 0. Calculate x.
-7, -3, -1, 123
Let 5*q**5 + 365*q**4 - 445*q**3 - 5665*q**2 - 8560*q - 3700 = 0. What is q?
-74, -2, -1, 5
Let 5*m**2 + 15875*m + 95070 = 0. Calculate m.
-3169, -6
Determine d, given that 4*d**4 - 20*d**3 - 5092*d**2 - 62092*d = 0.
-19, 0, 43
Factor -242*w**2/3 - 4352*w/3 + 24.
-2*(w + 18)*(121*w - 2)/3
Let i**5/3 - 144*i**4 - 1484*i**3 + 14048*i**2/3 + 14144*i = 0. What is i?
-12, -2, 0, 4, 442
Factor 2*v**2/15 - 632*v/5 + 77184/5.
2*(v - 804)*(v - 144)/15
Suppose -u**4/10 - 1053*u**3/10 + 41861*u**2/2 + 1053*u/10 - 104652/5 = 0. What is u?
-1224, -1, 1, 171
Let 5*y**4 - 45905*y**3 + 105432285*y**2 - 315975595*y + 210589210 = 0. What is y?
1, 2, 4589
Let -4*v**4 + 14246*v**3 + 21375*v**2 + 21377*v/2 + 3563/2 = 0. What is v?
-1/2, 3563
Factor 3*p**3/4 - 11511*p**2/4 + 11036169*p/4 + 11047683/4.
3*(p - 1919)**2*(p + 1)/4
Factor 5*l**3 + 130*l**2 + 645*l + 900.
5*(l + 3)**2*(l + 20)
Factor 2*j**4/11 - 14840*j**3/11 - 103978*j**2/11.
2*j**2*(j - 7427)*(j + 7)/11
Solve -4*f**4 + 11296*f**3 + 90672*f**2 - 135360*f - 1631232 = 0.
-6, 4, 2832
Factor 5*f**2 - 2148225*f - 2148230.
5*(f - 429646)*(f + 1)
Suppose 5*u**5/2 + 685*u**4/2 + 10365*u**3/2 + 19195*u**2/2 - 36125*u + 21000 = 0. Calculate u.
-120, -14, -5, 1
Factor r**3/4 + 955*r**2 + 34299*r/4.
r*(r + 9)*(r + 3811)/4
Factor -t**2 + 263331*t + 263332.
-(t - 263332)*(t + 1)
Find b, given that 28*b**4 - 11188*b**3/5 + 44608*b**2 + 3840*b = 0.
-3/35, 0, 40
Solve d**3/4 + 71*d**2/2 - 1720*d + 18200 = 0.
-182, 20
Determine i, given that 364*i**4 + 304*i**3 - 60*i**2 = 0.
-1, 0, 15/91
Factor 2*q**3 - 850*q**2 + 4188*q + 5040.
2*(q - 420)*(q - 6)*(q + 1)
Let y**3 - 1596*y**2 - 14455*y + 16050 = 0. What is y?
-10, 1, 1605
Determine m so that -5*m**3 - 680*m**2 - 9600*m = 0.
-120, -16, 0
Solve -3*k**3 - 12135*k**2 - 362025*k - 2710125 = 0 for k.
-4015, -15
Determine j, given that 2*j**3 + 364*j**2 - 23302*j - 23664 = 0.
-232, -1, 51
Factor f**3/7 - 94799*f**2/7 + 2246759999*f/7 - 2246665201/7.
(f - 47399)**2*(f - 1)/7
Factor -n**5/11 + 3085*n**4/11 + 12356*n**3/11.
-n**3*(n - 3089)*(n + 4)/11
Determine w, given that -20*w**5/11 - 2138*w**4/11 + 634*w**3/11 + 4118*w**2 + 38266*w/11 - 4280/11 = 0.
-107, -4, -1, 1/10, 5
Let -8*g**3/3 + 131*g**2/3 + 127*g/3 - 238 = 0. What is g?
-21/8, 2, 17
Factor 2*l**3/9 - 218*l/9 + 280/3.
2*(l - 7)*(l - 5)*(l + 12)/9
Factor 4*z**4 - 40*z**3 - 2484*z**2 + 2520*z.
4*z*(z - 30)*(z - 1)*(z + 21)
Find r such that 2*r**4 + 431*r**3 + 11622*r**2 + 5489*r - 5704 = 0.
-184, -31, -1, 1/2
Find l, given that l**2 + 1202130*l + 361279134225 = 0.
-601065
Factor -g**2/2 + 318*g + 32101/2.
-(g - 683)*(g + 47)/2
Determine g so that -2*g**2/5 - 7934*g/5 + 15876/5 = 0.
-3969, 2
Determine i so that -127*i**5/4 - 4063*i**4/2 - 38353*i**3/4 - 29923*i**2/2 - 7255*i + 118 = 0.
-59, -2, -1, 2/127
Factor 2*v**2/3 - 1246*v - 3744.
2*(v - 1872)*(v + 3)/3
Let -2*l**2 + 36520*l - 146048 = 0. Calculate l.
4, 18256
Suppose -c**4 - 29*c**3 - 39*c**2 + 441*c + 972 = 0. Calculate c.
-27, -3, 4
Let -205*r**4 + 1675*r**3 + 1565*r**2 - 15075*r + 2520 = 0. What is r?
-3, 7/41, 3, 8
Determine i, given that 200*i**2/13 - 8520*i/13 + 90738/13 = 0.
213/10
Factor 3*c**2 - 174*c - 177.
3*(c - 59)*(c + 1)
Suppose 4*l**3 - 3648*l**2 - 14676*l + 18320 = 0. Calculate l.
-5, 1, 916
Solve b**2/2 - 37123*b + 1378117129/2 = 0 for b.
37123
Factor -5*r**5/4 - 14755*r**4/4 - 7375*r**3/2.
-5*r**3*(r + 1)*(r + 2950)/4
Factor -4*z**3 - 4976*z**2 - 4972*z.
-4*z*(z + 1)*(z + 1243)
Solve -w**3/3 + 11*w**2/3 + 1082*w/3 + 1040 = 0.
-26, -3, 40
Determine a so that -28*a**3 + 29128*a**2 - 8204476*a + 320123664 = 0.
324/7, 497
Determine k so that -3*k**4/8 - 70737*k**3/8 - 416870811*k**2/8 + 1251107637*k/8 - 417083043/4 = 0.
-11791, 1, 2
Solve 3*k**3 - 6442*k**2 + 3647371*k - 200164216 = 0 for k.
184/3, 1043
Determine n so that -n**4/5 - 18501*n**3/5 - 85599497*n**2/5 - 256668999*n/5 - 171088002/5 = 0.
-9249, -2, -1
Find n such that -3*n**5/4 - 189*n**4/4 + 1059*n**3/2 - 2595*n**2/2 + 4797*n/4 - 1533/4 = 0.
-73, 1, 7
Factor -2*b**2/11 - 5196*b/11 + 275600/11.
-2*(b - 52)*(b + 2650)/11
Solve 2*n**5/15 + 2*n**4/15 - 718*n**3/15 + 898*n**2/5 + 732*n/5 - 4032/5 = 0.
-21, -2, 3, 16
Factor -65*t**4/3 + 1195*t**3 - 550*t**2/3.
-5*t**2*(t - 55)*(13*t - 2)/3
Solve 6915*s**2 + 6924*s + 9 = 0.
-1, -3/2305
Factor 18*t**2 - 148362*t + 611424529/2.
(6*t - 24727)**2/2
Let -4*r**2/9 + 1472*r/3 - 182492/9 = 0. Calculate r.
43, 1061
Factor 2*q**3/15 - 16176*q**2/5 + 98107438*q/5 + 588838756/15.
2*(q - 12133)**2*(q + 2)/15
Factor -2*p**2 - 15130*p + 409968.
-2*(p - 27)*(p + 7592)
Factor -z**2/3 + 350*z + 130144/3.
-(z - 1162)*(z + 112)/3
Determine c, given that -c**4/3 + 599*c**3/6 - 4387*c**2/6 + 1022*c/3 = 0.
0, 1/2, 7, 292
Suppose -2*h**2 - 3336*h - 287014 = 0. What is h?
-1577, -91
Factor -z**4/3 - 388*z**3 - 353518*z**2/3 - 2870036*z - 54715609/3.
-(z + 13)**2*(z + 569)**2/3
Determine a so that a**3/2 - 1214*a**2 + 4850*a - 4848 = 0.
2, 2424
Let -2*m**3 + 8134*m**2/9 - 23342*m/9 - 898/3 = 0. What is m?
-1/9, 3, 449
Factor 4*t**4 - 36596*t**3 + 109764*t**2 - 109756*t + 36584.
4*(t - 9146)*(t - 1)**3
Solve -16*z**4 + 280*z**3 + 7039*z**2 - 52429*z + 88218 = 0.
-18, 13/4, 29
Suppose 1725*n**2 - 1749*n + 24 = 0. Calculate n.
8/575, 1
Solve -5*z**4/3 - 305*z**3/3 + 6125*z**2/3 + 444185*z/3 = 0.
-49, 0, 37
Determine o, given that -o**4/7 + 22*o**3/7 - 153*o**2/7 + 324*