- 2804*q**3/13 - 4096*q**2/13 + 192*q/13 = 0.
-4, -2, 0, 1/22, 12
Factor 2*h**3/7 + 290*h**2/7 + 13950*h/7 + 222750/7.
2*(h + 45)**2*(h + 55)/7
Let -5*t**5 - 2595*t**4 - 352935*t**3 - 4160585*t**2 = 0. What is t?
-253, -13, 0
Factor -3*y**2 + 21609*y + 43230.
-3*(y - 7205)*(y + 2)
What is p in -8661494*p**5/7 + 21148924*p**4/7 - 16876694*p**3/7 + 4980240*p**2/7 - 618624*p/7 + 27648/7 = 0?
24/163, 1
Determine w, given that -2*w**2/7 + 192*w/7 + 800/7 = 0.
-4, 100
Factor 2*a**3 - 9352*a**2 - 18710*a - 9356.
2*(a - 4678)*(a + 1)**2
Determine a so that -2*a**2/7 - 57424*a/3 - 267976/21 = 0.
-66994, -2/3
Suppose -18*l**4 - 68810*l**3 - 259676*l**2 + 61104*l = 0. Calculate l.
-3819, -4, 0, 2/9
Factor d**3/5 + 811*d**2/5 + 181832*d/5 + 6858428/5.
(d + 47)*(d + 382)**2/5
Suppose -657*a**2/7 + 10536*a/7 - 384/7 = 0. Calculate a.
8/219, 16
Factor q**2 + 1375*q + 1374.
(q + 1)*(q + 1374)
Factor t**3 - 13*t**2 - 7245*t - 208575.
(t - 103)*(t + 45)**2
Factor 5*a**4/2 - 1195*a**3 + 11700*a**2.
5*a**2*(a - 468)*(a - 10)/2
Determine a so that -28050050*a**3 - 84120190*a**2/3 + 89872*a/9 - 8/9 = 0.
-1, 2/11235
Suppose -z**4/5 + 268*z**3/5 - 6901*z**2/5 - 1434*z = 0. Calculate z.
-1, 0, 30, 239
Find a such that 16*a**4 - 222612*a**3 - 389628*a**2 + 111320*a = 0.
-2, 0, 1/4, 13915
Find b such that 4*b**2/5 + 8320*b - 83216/5 = 0.
-10402, 2
Let 9*i**3 - 4566*i**2 + 15145*i - 12600 = 0. Calculate i.
5/3, 504
Factor -o**4/5 - 6*o**3 - 224*o**2/5 + 6*o + 45.
-(o - 1)*(o + 1)*(o + 15)**2/5
Factor -2*o**3 - 1272242*o**2.
-2*o**2*(o + 636121)
Solve -2*x**3 - 368*x**2 + 22738*x - 22368 = 0 for x.
-233, 1, 48
Factor 2*m**3 - 82434*m**2 + 849461760*m - 849379328.
2*(m - 20608)**2*(m - 1)
Factor -2*v**3/7 + 147702*v**2/7.
-2*v**2*(v - 73851)/7
Find z such that -2*z**4 + 272*z**3 + 2272*z**2 + 4608*z = 0.
-4, 0, 144
Find z, given that 3*z**3/2 - 233862*z**2 - 935466*z - 935472 = 0.
-2, 155912
Let 4*s**2 - 744*s - 36160 = 0. What is s?
-40, 226
Solve -1130*i**3 + 5*i**2 + 1130*i - 5 = 0.
-1, 1/226, 1
Solve -2*t**5 + 104*t**4 - 920*t**3 + 500*t**2 + 9562*t + 8036 = 0.
-2, -1, 7, 41
Determine y, given that -3*y**4/5 - 32454*y**3/5 - 87804279*y**2/5 - 35076288*y + 263218176/5 = 0.
-5408, -3, 1
Suppose -363*u**4 + 653532*u**3 + 3695856*u**2 - 1408752*u + 130032 = 0. What is u?
-6, 2/11, 1806
Solve -4*l**3/3 - 238*l**2/3 - 2284*l/3 - 1216 = 0 for l.
-48, -19/2, -2
Find c, given that -2*c**5/7 + 4636*c**4/7 - 2672606*c**3/7 - 16188964*c**2/7 - 1163992*c + 3857840 = 0.
-5, -2, 1, 1162
Let 4*v**2/3 - 34804*v/3 + 11600 = 0. What is v?
1, 8700
Solve 2*y**5 - 2466*y**4 + 2458*y**3 + 7394*y**2 - 2460*y - 4928 = 0.
-1, 1, 2, 1232
Let -21*v**4/4 - 3915*v**3 - 11169*v**2/4 + 2235*v/2 = 0. Calculate v.
-745, -1, 0, 2/7
Suppose -t**2 + 301*t - 4290 = 0. What is t?
15, 286
What is t in 3*t**2/7 - 12354*t/7 + 12718443/7 = 0?
2059
Factor 2*c**3 - 2090*c**2 - 77184*c - 700488.
2*(c - 1081)*(c + 18)**2
Determine i so that -2*i**4/5 - 40982*i**3/5 - 122934*i**2/5 - 24586*i - 40976/5 = 0.
-20488, -1
Let -8*i**3 - 9540*i**2 + 4772*i = 0. What is i?
-1193, 0, 1/2
Determine s, given that -s**4/4 - 37*s**3/4 - 191*s**2/4 - 155*s/4 = 0.
-31, -5, -1, 0
Determine h so that 34*h**4/15 + 38*h**3/15 - 2*h**2 - 38*h/15 - 4/15 = 0.
-1, -2/17, 1
Find o, given that 30*o**2 - 512*o + 930 = 0.
31/15, 15
Suppose -2*a**5/7 + 62*a**4/7 - 52*a**3 - 1772*a**2/7 + 366*a/7 + 1710/7 = 0. What is a?
-3, -1, 1, 15, 19
What is n in -125*n**4 + 10772650*n**3 + 19391055*n**2 + 10341940*n + 1723660 = 0?
-1, -2/5, 86183
Factor -7*k**2/8 + 303145*k/2 + 86613/2.
-(k - 173226)*(7*k + 2)/8
Suppose 4*j**4 + 2208*j**3 + 79408*j**2 + 654720*j - 1644800 = 0. Calculate j.
-514, -20, 2
Find t such that 2*t**2/11 - 23922*t/11 - 71784/11 = 0.
-3, 11964
Determine n so that -708*n**4 - 16*n**3 + 708*n**2 + 16*n = 0.
-1, -4/177, 0, 1
Factor 35*i**4 + 1135*i**3 + 4400*i**2 + 1680*i.
5*i*(i + 4)*(i + 28)*(7*i + 3)
Let 4*y**2 - 26824*y + 53632 = 0. What is y?
2, 6704
Suppose 5*v**3 - 1990*v**2 + 126725*v - 2217780 = 0. Calculate v.
37, 324
Find u such that 2*u**3/7 - 2070*u**2/7 + 452064*u/7 - 4032128 = 0.
136, 763
Solve -4*z**3 + 364*z**2 - 3560*z + 3200 = 0 for z.
1, 10, 80
Factor a**2 - 9129*a - 588352.
(a - 9193)*(a + 64)
Factor 5*f**2 + 637435*f + 1274850.
5*(f + 2)*(f + 127485)
Factor f**2 - 1618*f + 654481.
(f - 809)**2
Factor -2*a**3 + 5042*a**2 - 199280*a + 1984800.
-2*(a - 2481)*(a - 20)**2
Find j such that -j**2/2 + 2119*j - 12696 = 0.
6, 4232
Solve 5*b**2 - 250100*b + 250095 = 0 for b.
1, 50019
Factor -2*p**3/3 + 148*p**2/3 - 362*p + 660.
-2*(p - 66)*(p - 5)*(p - 3)/3
Suppose 50*p**5 + 26850*p**4 + 3644548*p**3 + 10692276*p**2 - 145782*p - 427734 = 0. What is p?
-267, -3, -1/5, 1/5
Let -508805*y**4 - 2851860*y**3 - 3393270*y**2 + 1689660*y - 178605 = 0. Calculate y.
-3, 63/319
Suppose -2*s**5/5 - 28*s**4/5 + 460*s**3 - 448*s**2 - 2298*s/5 + 2268/5 = 0. What is s?
-42, -1, 1, 27
Suppose -3*q**3 - 3594*q**2 - 178929*q - 175338 = 0. What is q?
-1146, -51, -1
Find p, given that 3*p**2 + 23073*p - 23076 = 0.
-7692, 1
Let 2*f**3 + 6514*f**2/9 + 205286*f/9 - 7630/3 = 0. What is f?
-327, -35, 1/9
Determine o, given that 2*o**3/5 + 7576*o**2/5 - 91178*o/5 + 16720 = 0.
-3800, 1, 11
Suppose -g**3/5 + 814*g**2/5 + 3316*g + 16680 = 0. What is g?
-10, 834
Factor -5*c**3 - 16480*c**2 + 5*c + 16480.
-5*(c - 1)*(c + 1)*(c + 3296)
Let -s**5/3 - 169*s**4/3 - 9664*s**3/3 - 210784*s**2/3 - 1264384*s/3 - 2261248/3 = 0. Calculate s.
-73, -44, -4
Solve 3*q**5/4 + 11*q**4/4 - 30*q**3 + 54*q**2 - 4*q - 36 = 0.
-9, -2/3, 2
Let -4*m**4/3 + 292*m**3 + 2790172*m**2/3 - 377574692*m - 378504456 = 0. What is m?
-902, -1, 561
Suppose -n**2 + 22600*n + 45204 = 0. Calculate n.
-2, 22602
Suppose -u**2/3 - 1003*u/3 + 6126 = 0. What is u?
-1021, 18
Solve -w**2 - 2082*w + 8344 = 0.
-2086, 4
Suppose 7*s**4/4 - 991*s**3/4 + 8961*s**2 - 13615*s + 4900 = 0. Calculate s.
4/7, 1, 70
Factor t**3 - 199*t**2 - 35996*t - 35796.
(t - 314)*(t + 1)*(t + 114)
What is p in p**3 + 10844*p**2 + 29387237*p - 58817858 = 0?
-5423, 2
Factor 2*c**2/5 - 1698*c/5 + 18644.
2*(c - 790)*(c - 59)/5
Factor 484*t**4 - 246928*t**3/3 + 31516984*t**2/9 - 1908080*t/9 + 28900/9.
4*(t - 85)**2*(33*t - 1)**2/9
Let w**3/6 - 5*w**2/3 + 8*w/3 = 0. Calculate w.
0, 2, 8
Determine y so that -3*y**3/7 - 11850*y**2/7 - 11701875*y/7 = 0.
-1975, 0
Factor 2*c**2/11 + 190028*c/11 + 4513830098/11.
2*(c + 47507)**2/11
Factor -m**4/2 + 174*m**3 - 9936*m**2.
-m**2*(m - 276)*(m - 72)/2
Solve -9*x**2 + 87*x + 271752 = 0 for x.
-169, 536/3
Let -2*u**2/11 - 1204*u + 13246/11 = 0. What is u?
-6623, 1
Find n such that 2*n**2/3 + 1183*n/3 - 592/3 = 0.
-592, 1/2
Factor 5*a**3/3 + 10280*a**2/3 - 27500*a + 41280.
5*(a - 6)*(a - 2)*(a + 2064)/3
What is a in 2*a**2/3 - 736*a/3 + 37454/3 = 0?
61, 307
Find q, given that 2*q**2 - 328234*q - 984720 = 0.
-3, 164120
Factor 5*r**5 - 5665*r**4 - 45520*r**3 - 136760*r**2 - 182480*r - 91280.
5*(r - 1141)*(r + 2)**4
What is p in 3*p**5/2 - 423*p**4/2 - 435*p**3/2 + 1263*p**2/2 + 1062*p + 426 = 0?
-1, 2, 142
Factor 3*t**4/4 - 813*t**3 + 408669*t**2/2 + 8665767*t + 340842843/4.
3*(t - 561)**2*(t + 19)**2/4
Factor -c**2/2 + 4968*c - 9935/2.
-(c - 9935)*(c - 1)/2
Solve -10*a**5/3 + 562*a**4/3 - 1488*a**3 - 10616*a**2/3 + 5696*a/3 + 2944 = 0 for a.
-2, -4/5, 1, 12, 46
Solve -5*x**3 + 2660*x**2 - 356425*x + 702250 = 0.
2, 265
Factor -75*i**4 + 2880*i**3 + 79512*i**2 - 2057472*i - 38277552.
-3*(i - 38)**2*(5*i + 94)**2
Find b such that 5*b**2 - 85480*b + 365341520 = 0.
8548
Let o**2 - 69578*o - 69579 = 0. Calculate o.
-1, 69579
Solve -f**3 + 584*f**2 - 6864*f = 0 for f.
0, 12, 572
Determine k, given that k**3/6 + 1021*k**2/6 - 65378*k/3 - 65888/3 = 0.
-1136, -1, 116
Factor 2*t**2/13 + 1509312*t/13 + 284752839168/13.
2*(t + 377328)**2/13
Factor 6*c**3 - 86*c**2 + 388*c - 560.
2*(c - 7)*(c - 4)*(3*c - 10)
Solve 5*s**3 - 610*s**2 - 16800*s - 105120 = 0.
-12, 146
Determine o, given that 45*o**3 + 7715*o**2 - 257580*o - 116000 = 0.
-200, -4/9, 29
Find z such that -100*z**4 - 2446580*z**3 + 5383184*z**2 + 5480880*z + 1174464 = 0.
-24468, -2/5, 3
Suppose 46*c**2/5 - 52304*c/5 + 2274/5 = 0. Calculate c.
1/23, 1137
Factor 4*p**2/3 + 4092*p.
4*p*(p + 3069)/3
Find x, given that 3*x**2/8 + 267*x/8 - 1635/2 = 0.
