4*n**3/3 + 68*n**2/3 - 88*n + 96.
-4*(n - 12)*(n - 3)*(n - 2)/3
Determine q so that -124*q**4/5 + 6316*q**3/5 - 38528*q**2/5 + 30224*q/5 + 2112/5 = 0.
-2/31, 1, 6, 44
Solve i**5/6 - 196*i**4 + 584*i**3/3 + 1371*i**2 - 1169*i/6 - 1175 = 0.
-2, -1, 1, 3, 1175
What is g in -11*g**5/3 - 116*g**4/3 - 108*g**3 - 34*g**2/3 + 335*g/3 + 50 = 0?
-5, -1, -6/11, 1
Solve 3*p**3/4 + 87*p**2/4 + 339*p/2 + 378 = 0.
-18, -7, -4
Factor -2*d**2/7 + 243700*d/7 - 487392/7.
-2*(d - 121848)*(d - 2)/7
Determine r, given that -r**3 + 534*r**2 + 3240*r = 0.
-6, 0, 540
Solve 2*r**3 + 9614*r**2 - 19234*r + 9618 = 0 for r.
-4809, 1
Solve 18*f**5 - 1677*f**4 - 12033*f**3 - 26532*f**2 - 16836*f + 3600 = 0 for f.
-3, -2, 1/6, 100
Suppose 3*z**3 - 56304*z**2 - 3*z + 56304 = 0. What is z?
-1, 1, 18768
Factor -2*q**3/5 - 38*q**2/5 + 3604*q/5.
-2*q*(q - 34)*(q + 53)/5
Factor 4*w**2 - 496644*w + 496640.
4*(w - 124160)*(w - 1)
Factor k**2/4 + 383987*k/2 + 147446016169/4.
(k + 383987)**2/4
Determine q, given that 2*q**5/15 - 11764*q**4/15 + 70538*q**3/15 - 30560*q**2/3 + 141032*q/15 - 47008/15 = 0.
1, 2, 5876
Factor -2*x**4/7 - 702*x**3/7 - 1920*x**2 - 66200*x/7.
-2*x*(x + 10)**2*(x + 331)/7
Let 3*p**4/8 - 597*p**3/2 - 10899*p**2/4 + 12687*p/2 - 26565/8 = 0. Calculate p.
-11, 1, 805
Suppose -630*n**3 + 4028*n**2 - 1512*n + 144 = 0. What is n?
6/35, 2/9, 6
Factor a**2/8 + 37859*a/8 - 56793/4.
(a - 3)*(a + 37862)/8
Factor 5*x**3 - 215*x**2 + 2850*x - 11880.
5*(x - 22)*(x - 12)*(x - 9)
Find b, given that 3*b**2/4 + 609*b/2 - 11220 = 0.
-440, 34
Solve -2*y**2 - 77860*y - 934032 = 0 for y.
-38918, -12
Determine s, given that -16*s**4/3 + 250*s**3/3 + 394*s**2/3 - 1936*s/3 - 1064 = 0.
-2, 3, 133/8
Factor -x**2/2 + 110408*x - 6094963232.
-(x - 110408)**2/2
Let 4*s**2 - 984*s + 20516 = 0. What is s?
23, 223
Suppose 2*a**5/5 + 28*a**4/5 + 62*a**3/5 - 324*a**2/5 - 504*a/5 + 1296/5 = 0. What is a?
-9, -6, -3, 2
Solve 2*m**4 - 276*m**3 + 9514*m**2 + 1104*m - 38088 = 0.
-2, 2, 69
Let -2*f**3/13 + 3650*f**2/13 - 90048*f/13 + 86400/13 = 0. What is f?
1, 24, 1800
Suppose -g**3/6 + 229*g**2/6 + 50264*g/3 + 3520066/3 = 0. Calculate g.
-122, 473
Determine z, given that -2*z**5 + 416*z**4 - 8878*z**3 + 8464*z**2 = 0.
0, 1, 23, 184
Solve k**5 + 14*k**4/5 - 83*k**3/5 + 76*k**2/5 - 12*k/5 = 0 for k.
-6, 0, 1/5, 1, 2
Let 2*o**4/5 - 1944*o**3/5 + 1938*o**2/5 + 3884*o/5 = 0. What is o?
-1, 0, 2, 971
Factor -g**2 - 2146*g.
-g*(g + 2146)
Let 4*g**3 + 20424*g**2 + 25927680*g - 367001600 = 0. What is g?
-2560, 14
Factor -v**2/4 - 569*v/2 - 26884.
-(v + 104)*(v + 1034)/4
Solve -c**2 - 71*c + 2772 = 0 for c.
-99, 28
Solve 328*k**3 - 2622*k**2 + 3920*k + 24 = 0 for k.
-1/164, 2, 6
Solve 3*n**5/4 + 450*n**4 + 359997*n**3/4 + 5999550*n**2 - 90000*n - 6000000 = 0.
-200, -1, 1
Suppose 3*y**2 - 3726*y + 44280 = 0. What is y?
12, 1230
Factor -2*p**3 - 85644*p**2 - 85642*p.
-2*p*(p + 1)*(p + 42821)
Determine h so that 5*h**5 + 560*h**4 + 4670*h**3 + 3560*h**2 - 4675*h - 4120 = 0.
-103, -8, -1, 1
Factor -2*i**2/17 - 2204*i/17 - 2202/17.
-2*(i + 1)*(i + 1101)/17
Solve 15094*u**4/9 + 45278*u**3/9 + 5030*u**2 + 15082*u/9 - 4/9 = 0.
-1, 2/7547
What is t in 8*t**4/3 + 32834*t**3/3 - 106904*t**2 + 740570*t/3 + 205700/3 = 0?
-4114, -1/4, 5
Solve -72*g**5 + 73068*g**4/5 + 455444*g**3/5 - 312824*g**2/5 + 6688*g = 0.
-20/3, 0, 2/15, 1/2, 209
Let -2*v**2 - 1038*v - 126100 = 0. What is v?
-325, -194
Solve -3*y**2 + 104706*y + 418872 = 0 for y.
-4, 34906
Factor -i**3 + 4716*i**2.
-i**2*(i - 4716)
Let -l**5/4 + 615*l**4/8 - 761*l**3/4 - 915*l**2/8 = 0. What is l?
-1/2, 0, 3, 305
Solve r**5/6 + 5*r**4/3 - 65*r**2/3 - r/6 + 20 = 0 for r.
-8, -5, -1, 1, 3
Solve -3*n**2/8 - 24909*n + 597843/8 = 0 for n.
-66427, 3
Solve -2*n**4 - 2*n**3 + 90*n**2 + 50*n - 1000 = 0 for n.
-5, 4, 5
Let m**4 - 3227*m**3 + 22540*m**2 = 0. What is m?
0, 7, 3220
Suppose 1029*c**3 + 233898*c**2 - 4449852*c/7 + 3005640/7 = 0. What is c?
-230, 66/49
Factor -x**4 - 15854*x**3 + 15855*x**2.
-x**2*(x - 1)*(x + 15855)
Find j, given that 2*j**5/3 - 9718*j**4/3 - 19442*j**3/3 - 9722*j**2/3 = 0.
-1, 0, 4861
Find g such that -214*g**4/3 - 8996*g**3/3 - 5890*g**2 - 9208*g/3 - 320/3 = 0.
-40, -1, -4/107
Determine r, given that -2*r**3/9 - 268*r**2/9 - 1762*r/9 + 2032/9 = 0.
-127, -8, 1
Suppose 2*f**3/13 - 178*f**2 - 4642*f/13 + 6954/13 = 0. Calculate f.
-3, 1, 1159
Factor 2*a**3/11 - 224*a**2/11 + 5394*a/11 + 11700/11.
2*(a - 75)*(a - 39)*(a + 2)/11
Suppose -5*q**2/4 - 2635*q/2 + 5290 = 0. What is q?
-1058, 4
Factor n**2 + 2338*n + 16317.
(n + 7)*(n + 2331)
Find j such that -2*j**3 + 56*j**2 - 504*j + 1440 = 0.
6, 10, 12
Determine b so that 3*b**3 + 43977*b**2 + 161362425*b + 1448701875 = 0.
-7325, -9
Factor -p**3 - 200*p**2 - 587*p + 788.
-(p - 1)*(p + 4)*(p + 197)
Factor 5*t**2 + 24950*t - 275055.
5*(t - 11)*(t + 5001)
Factor -k**3/5 - 18106*k**2/5 - 54311*k/5 - 36206/5.
-(k + 1)*(k + 2)*(k + 18103)/5
Factor 2*r**3 - 106*r**2 + 108*r + 4896.
2*(r - 51)*(r - 8)*(r + 6)
Determine l so that 4*l**2 - 93156*l + 465680 = 0.
5, 23284
Solve -w**4/6 + 202*w**3/3 - 9334*w**2 + 1535200*w/3 - 28880000/3 = 0 for w.
50, 152
Solve -u**3 - 203390*u**2 + 406783*u - 203392 = 0 for u.
-203392, 1
Solve -2*o**5 + 32*o**4 + 84*o**3 - 1936*o**2 + 3502*o - 1680 = 0.
-8, 1, 7, 15
Suppose 2*p**5/7 - 8*p**4 - 2886*p**3/7 - 32292*p**2/7 - 122688*p/7 - 150336/7 = 0. Calculate p.
-12, -3, 58
Solve -o**3/3 - 527*o**2/3 + 1246*o = 0.
-534, 0, 7
Factor 3*k**2/4 + 64230*k + 1375164300.
3*(k + 42820)**2/4
Factor 3*r**3 + 26070*r**2 - 3*r - 26070.
3*(r - 1)*(r + 1)*(r + 8690)
Suppose -a**3/6 - 245*a**2/6 - 6641*a/2 - 179133/2 = 0. What is a?
-87, -71
Factor 15*m**3 - 2016*m**2 + 24399*m - 9438.
3*(m - 121)*(m - 13)*(5*m - 2)
Find w such that -685*w**2 + 19470*w - 8120 = 0.
58/137, 28
Suppose 2*z**3/11 - 14*z**2 + 1828*z/11 + 1984/11 = 0. Calculate z.
-1, 16, 62
Factor n**3/10 + 357*n**2/5 + 51216*n/5 - 4666864/5.
(n - 62)*(n + 388)**2/10
Factor 4*d**2 - 59788*d.
4*d*(d - 14947)
Find a such that 12*a**5/7 + 585*a**4 + 326271*a**3/7 - 4007520*a**2/7 - 1022208*a/7 = 0.
-176, -1/4, 0, 11
Let s**3/2 - 238*s**2 + 938*s + 2832 = 0. What is s?
-2, 6, 472
Find a, given that 4*a**4 - 1528*a**3 + 11836*a**2 + 49368*a = 0.
-3, 0, 11, 374
Factor 5*j**4 + 192810*j**3 + 1858591985*j**2 - 3717762420*j + 1858977620.
5*(j - 1)**2*(j + 19282)**2
Let 2*d**4/3 - 190*d**3/3 + 1472*d**2 + 1536*d = 0. Calculate d.
-1, 0, 48
Factor -u**4/2 - 9*u**3/2 + 137*u**2 - 132*u.
-u*(u - 12)*(u - 1)*(u + 22)/2
Factor -3*r**2 - 35457*r - 70902.
-3*(r + 2)*(r + 11817)
Solve -r**5 + 1821*r**4 - 30759*r**3 + 164311*r**2 - 265188*r = 0.
0, 3, 7, 1804
Let -4*n**2/9 + 548*n/9 + 256856/9 = 0. What is n?
-194, 331
Solve x**2 + 568928*x + 80919767296 = 0.
-284464
Find o, given that 4*o**4 - 48*o**3 - 2124*o**2 - 13592*o - 11520 = 0.
-10, -9, -1, 32
Find d such that d**3 - 2845*d**2 + 1978688*d + 64103164 = 0.
-31, 1438
Factor 2*y**3/13 - 56*y**2/13 - 3638*y/13 - 35836/13.
2*(y - 62)*(y + 17)**2/13
Factor 3*z**3 + 401031*z**2 + 13401553680*z - 40208270400.
3*(z - 3)*(z + 66840)**2
Factor 2*w**3/3 + 2812*w**2/3 - 16958*w/3 - 19768/3.
2*(w - 7)*(w + 1)*(w + 1412)/3
Solve -4*s**5 - 656*s**4 + 32684*s**3 - 392984*s**2 + 690560*s - 329600 = 0.
-206, 1, 20
Factor -3*s**4 + 9*s**3 + 522*s**2 + 2976*s + 4896.
-3*(s - 17)*(s + 4)**2*(s + 6)
Determine f, given that -f**5/3 + 2*f**4/3 + 13*f**3/3 + 10*f**2/3 = 0.
-2, -1, 0, 5
Factor -c**2 + 791*c - 95658.
-(c - 642)*(c - 149)
Solve 3*d**4 + 714036*d**3 + 42486570066*d**2 - 84975282252*d + 42487998147 = 0 for d.
-119007, 1
Determine u so that -4*u**5 + 124*u**4 - 452*u**3 + 548*u**2 - 216*u = 0.
0, 1, 2, 27
Suppose 28*i**4 - 325548*i**3 - 1069880*i**2 - 930384*i - 186080 = 0. Calculate i.
-2, -1, -2/7, 11630
Find s such that 30*s**5 + 245*s**4 + 340*s**3 - 395*s**2 - 520*s + 300 = 0.
-6, -2, -5/3, 1/2, 1
Find q such that -15*q**3/8 - 144*q**2 + 231*q/8 = 0.
-77, 0, 1/5
Let 15*f**5 + 2750*f**4 + 38885*f**3 - 342390*f**2 - 561380*f + 514360 = 0. What is f?
-167, -22, -2, 2/3, 7
Factor k**3 - 3369*k**2 + 2869275*k - 53306875.
(k - 1675)**2*(k - 19)
Suppose -121*t**5 + 9679*t**4 - 287416*t**3 + 3745720*t**2 - 18006736*t - 149072 = 0. What is t?
-1/121, 14, 22
Suppose -3*g**2/8 + 54735*g/4 - 998640075/8 = 0. Calcula