1094283*q - 399151761363 = 0.
-729522
Suppose 10*x**3/7 + 942*x**2/7 + 12038*x/7 + 2370/7 = 0. Calculate x.
-79, -15, -1/5
Factor 5*u**3 + 133515*u**2 - 267050*u.
5*u*(u - 2)*(u + 26705)
Factor 2*g**3/19 - 752*g**2/19 + 4450*g/19 - 3700/19.
2*(g - 370)*(g - 5)*(g - 1)/19
Factor -2*r**2/3 + 3094*r/3 + 91408/3.
-2*(r - 1576)*(r + 29)/3
Let r**4/3 + 16*r**3/3 - 121*r**2 - 8470*r/3 - 42592/3 = 0. What is r?
-16, -11, 22
Factor -3*f**2/5 + 8148*f/5 + 24471/5.
-3*(f - 2719)*(f + 3)/5
Factor c**2/9 - 305*c + 5486/9.
(c - 2743)*(c - 2)/9
Factor -2*n**2/3 + 402536*n/3 - 20254403912/3.
-2*(n - 100634)**2/3
Factor 2*l**3/9 - 15446*l**2/9 - 61880*l/3.
2*l*(l - 7735)*(l + 12)/9
Solve -2*o**5/5 + 294388*o**4/5 + 883182*o**3/5 + 8*o**2/5 - 1177576*o/5 = 0 for o.
-2, 0, 1, 147197
Let x**2/10 + 252*x/5 - 101/2 = 0. Calculate x.
-505, 1
Factor -2*p**2/7 - 376176*p/7 - 17688547872/7.
-2*(p + 94044)**2/7
Suppose 3*r**4 - 327*r**3 + 306*r**2 + 1944*r = 0. What is r?
-2, 0, 3, 108
Solve 4*x**4/9 - 448*x**3/3 + 13312*x**2/3 - 311296*x/9 = 0 for x.
0, 16, 304
Factor 5*w**3 - 450*w**2 + 4135*w + 16590.
5*(w - 79)*(w - 14)*(w + 3)
Determine m so that 936*m**4 - 9645*m**3 - 7455*m**2 + 3225*m + 99 = 0.
-1, -3/104, 1/3, 11
What is t in -16*t**5 + 50948*t**4 - 40767280*t**3 + 333327580*t**2 - 363220064*t + 70608832 = 0?
1/4, 1, 7, 1588
Factor l**2/2 - 285*l/2 - 287.
(l - 287)*(l + 2)/2
Factor 2*q**2 - 429796*q + 859584.
2*(q - 214896)*(q - 2)
Solve d**3/5 + 269*d**2 - 21712*d/5 + 87104/5 = 0.
-1361, 8
Find p, given that -p**3/3 - 4187*p**2/2 + 3141*p = 0.
-6282, 0, 3/2
Find q, given that 5*q**3 + 60*q**2 - 2315*q - 24150 = 0.
-23, -10, 21
Suppose 2*d**2 + 432*d + 12376 = 0. Calculate d.
-182, -34
Let h**5 - 117*h**4 - 4040*h**3 + 22140*h**2 - 36416*h + 18432 = 0. Calculate h.
-32, 1, 2, 144
Solve 3*x**4 - 29850*x**3 + 208821*x**2 - 178974*x = 0 for x.
0, 1, 6, 9943
Suppose 15*n**4 - 357*n**3 - 2640*n**2 - 4428*n - 2160 = 0. What is n?
-4, -6/5, -1, 30
Solve x**5/5 + 1888*x**4/5 - 17048*x**3/5 + 47398*x**2/5 - 51209*x/5 + 3794 = 0 for x.
-1897, 1, 2, 5
Factor -2*c**3/11 - 180*c**2/11 - 3666*c/11 + 17672/11.
-2*(c - 4)*(c + 47)**2/11
What is r in -2*r**3/9 + 34*r**2 + 944*r/9 - 416/3 = 0?
-4, 1, 156
Determine p so that 5*p**5 + 790*p**4 + 31205*p**3 = 0.
-79, 0
Factor -c**3/2 + 27*c**2/2 + 541*c/2 + 1353/2.
-(c - 41)*(c + 3)*(c + 11)/2
Factor m**2/2 - 36010*m + 648360050.
(m - 36010)**2/2
Find b such that 5*b**5 - 110*b**4 - 5275*b**3 + 115240*b**2 + 245840*b + 125440 = 0.
-32, -1, 28
What is p in -8*p**4/5 + 972*p**3 + 97592*p**2/5 + 137868*p/5 + 45144/5 = 0?
-18, -1, -1/2, 627
Determine u so that -36*u**2 + 1760*u - 14896 = 0.
98/9, 38
Factor -10*a**3 - 108*a**2 - 384*a - 448.
-2*(a + 4)**2*(5*a + 14)
What is b in 2*b**2/15 + 388*b/3 + 112592/15 = 0?
-908, -62
Factor 3*y**3/2 + 87*y**2 - 4179*y/2 + 8085.
3*(y - 14)*(y - 5)*(y + 77)/2
Find y, given that y**3/2 - 138*y**2 + 18755*y/2 = 0.
0, 121, 155
Suppose 5*i**5 - 55*i**4 - 3225*i**3 + 44155*i**2 + 65740*i - 281580 = 0. What is i?
-26, -3, 2, 19
Solve -x**2/5 - 119*x/5 + 1078 = 0 for x.
-154, 35
Solve s**3/3 - 55*s**2/6 - 293*s/6 + 80/3 = 0 for s.
-5, 1/2, 32
Find j, given that -2*j**2/7 - 64144*j/7 + 64146/7 = 0.
-32073, 1
Suppose 4*d**5 + 632*d**4 + 1844*d**3 - 2528*d**2 - 7440*d = 0. Calculate d.
-155, -3, -2, 0, 2
Determine n, given that 15*n**3/7 - 178*n**2/7 - 415*n - 8200/7 = 0.
-5, 328/15
Solve 4*o**5/5 - 20*o**4 - 3*o**3/5 + 76*o**2/5 - 5*o = 0 for o.
-1, 0, 1/2, 25
What is y in -2*y**5 - 164*y**4 - 1382*y**3 + 4284*y**2 + 7632*y - 10368 = 0?
-72, -12, -2, 1, 3
What is p in 5*p**4/8 + 539*p**3/4 + 15843*p**2/8 + 24245*p/4 - 2750 = 0?
-200, -11, -5, 2/5
What is o in -6*o**2 + 478*o + 160 = 0?
-1/3, 80
Determine o so that -4*o**5 + 548*o**4 + 136*o**3 - 18248*o**2 - 52356*o - 34524 = 0.
-3, -1, 7, 137
Factor u**2/2 - 547*u - 30267/2.
(u - 1121)*(u + 27)/2
Let -6*s**4 + 8156*s**3 + 87490*s**2 + 260200*s + 137000 = 0. Calculate s.
-5, -2/3, 1370
Solve -5*l**2 - 1067745*l = 0 for l.
-213549, 0
Factor b**2 + 64751*b - 64752.
(b - 1)*(b + 64752)
Factor 4*a**3 + 84*a**2 - 13648*a - 27600.
4*(a - 50)*(a + 2)*(a + 69)
Factor 40*t**3 + 4225*t**2 - 5885*t.
5*t*(t + 107)*(8*t - 11)
Factor 3*j**3 - 291*j**2 + 4080*j.
3*j*(j - 80)*(j - 17)
Determine x so that -4*x**4 + 3344*x**3 - 13268*x**2 - 36584*x - 19968 = 0.
-1, 6, 832
Factor 3*d**3 + 2928*d**2 + 20385*d + 34884.
3*(d + 3)*(d + 4)*(d + 969)
Factor 30*t**5 - 125*t**4 + 145*t**3 + 15*t**2 - 115*t + 50.
5*(t - 2)*(t - 1)**3*(6*t + 5)
Suppose 3*y**4/4 - 171*y**3/4 - 375*y**2/4 + 1251*y/4 - 177 = 0. What is y?
-4, 1, 59
Let 2*h**2/3 + 2156*h/3 + 524594/3 = 0. What is h?
-707, -371
Let -4*h**5/3 - 28100*h**4/3 + 9368*h**3 = 0. Calculate h.
-7026, 0, 1
Solve -2*a**3/7 + 10888*a**2/7 - 21734*a + 76020 = 0.
7, 5430
Suppose i**5/2 - 101*i**4/2 + 1583*i**3 - 14907*i**2 + 29025*i/2 + 449307/2 = 0. Calculate i.
-3, 9, 43
Find q, given that -32*q**4/5 + 61632*q**3/5 - 61606*q**2/5 + 2310*q = 0.
0, 1/4, 3/4, 1925
What is y in 3*y**2 + 27579*y + 82710 = 0?
-9190, -3
Factor 2*u**3 - 582*u**2 - 4752*u - 9568.
2*(u - 299)*(u + 4)**2
What is p in 3*p**5/2 - 57*p**4 + 42*p**3 + 513*p**2 - 999*p/2 = 0?
-3, 0, 1, 3, 37
Factor 4*d**3 - 6864*d**2 - 55140*d - 48272.
4*(d - 1724)*(d + 1)*(d + 7)
Factor x**3/8 + 429*x**2/4 + 182313*x/8 - 185761/2.
(x - 4)*(x + 431)**2/8
Suppose 2*w**5 - 120*w**4 + 746*w**3 - 156*w**2 - 3016*w + 2544 = 0. What is w?
-2, 1, 2, 6, 53
Suppose -2*u**2/5 - 152998*u/5 = 0. What is u?
-76499, 0
Factor -2*c**3/9 + 398*c**2/9 + 1208*c/9 + 808/9.
-2*(c - 202)*(c + 1)*(c + 2)/9
Determine q so that -3*q**4/2 + 1050*q**3 + 187329*q**2/2 + 1971813*q = 0.
-41, 0, 782
Let -3*d**2/2 + 134109*d - 5995074627/2 = 0. Calculate d.
44703
Factor z**3 - 98*z**2 - 2461*z - 4522.
(z - 119)*(z + 2)*(z + 19)
Factor 3*p**4 - 170*p**3 + 436*p**2 - 216*p.
p*(p - 54)*(p - 2)*(3*p - 2)
Suppose -2*m**3/11 + 324494*m**2/11 - 1297952*m/11 + 1297944/11 = 0. What is m?
2, 162243
Determine o, given that 2*o**2 - 19176*o + 76672 = 0.
4, 9584
Factor 2*u**4 + 142*u**3 + 124*u**2 - 1144*u - 1680.
2*(u - 3)*(u + 2)**2*(u + 70)
Suppose -3*w**5 - 258*w**4 + 3876*w**3 + 486*w**2 - 99873*w - 96228 = 0. Calculate w.
-99, -4, -1, 9
What is o in 4046*o**4/11 + 2870008*o**3/11 + 509365878*o**2/11 + 145298916*o/11 = 0?
-6027/17, -2/7, 0
Find z, given that -22*z**4/5 - 21242*z**3/15 + 46168*z**2/15 + 17288*z/5 + 2592/5 = 0.
-324, -2/3, -2/11, 3
What is s in 3*s**3 - 438*s**2 - 1726368*s - 428722560 = 0?
-392, 930
Factor -2*c**2/3 + 52*c + 720.
-2*(c - 90)*(c + 12)/3
Let -5*c**3 + 2565*c**2 - 5095*c - 7665 = 0. Calculate c.
-1, 3, 511
Suppose -h**5/7 - 108*h**4/7 - 1289*h**3/7 - 746*h**2 - 8796*h/7 - 760 = 0. Calculate h.
-95, -7, -2
Determine o, given that -2*o**5/5 + 46*o**4 - 766*o**3 + 538*o**2 + 15352*o/5 - 2888 = 0.
-2, 1, 2, 19, 95
Let -k**4/5 - 5012*k**3/5 - 5011*k**2/5 = 0. Calculate k.
-5011, -1, 0
Factor 3*v**4 + 1317*v**3 + 149040*v**2 + 979776*v.
3*v*(v + 7)*(v + 216)**2
Let -11*q**2/5 + 5529*q/5 - 8316 = 0. Calculate q.
84/11, 495
Let -483*c**3 - 4747*c**2 - 7452*c + 220 = 0. What is c?
-55/7, -2, 2/69
Find p such that -9*p**3 + 113173*p**2 + 226349*p/9 + 12575/9 = 0.
-1/9, 12575
Factor -4*u**2 - 3720*u - 54900.
-4*(u + 15)*(u + 915)
Determine h so that 4*h**2 - 56*h - 128 = 0.
-2, 16
Factor 13*p**2/4 + 3169*p/2 - 10374.
(p + 494)*(13*p - 84)/4
Suppose -4*f**4/5 - 2344*f**3/5 + 7056*f**2/5 - 7064*f/5 + 2356/5 = 0. What is f?
-589, 1
Find v, given that -121*v**4/3 + 156860*v**3/3 - 50865412*v**2/3 + 6160320*v - 559872 = 0.
2/11, 648
Find v, given that -3*v**5 - 30936*v**4 - 79783914*v**3 - 159227652*v**2 + 557930805*v - 318888300 = 0.
-5155, -4, 1
Suppose 2*b**4 - 61764*b**3 + 476848962*b**2 = 0. What is b?
0, 15441
Factor -4*o**2 - 36560*o - 83539600.
-4*(o + 4570)**2
Find m such that 25*m**4 + 89465*m**3 + 80156010*m**2 + 207694080*m - 95908320 = 0.
-1788, -3, 2/5
Factor 4*v**5 + 33*v**4 + 80*v**3 + 82*v**2 + 36*v + 5.
(v + 1)**3*(v + 5)*(4*v + 1)
Factor -3*n**3 - 3135*n**2 - 1038201*n - 110822469.
-3*(n + 271)**2*(n + 503)
Solve b**4 + 44*b**3 - 565*b**2 + 2152*b - 2640 = 0 for b.
-55, 3, 4
Let 4*v**2 + 2000*v + 245100 = 0. What is v?
-285, -215
Solve 2*z**3 + 5743*z**2/2 + 261530*z - 65562 = 0.
-133