
Suppose -2*l**4 - 1460*l**3 - 18722*l**2 - 57432*l - 51624 = 0. Calculate l.
-717, -9, -2
Factor 155*r**2 - 445*r - 1650.
5*(r - 5)*(31*r + 66)
Solve -2*d**3 - 4304*d**2 - 2293882*d + 23371220 = 0 for d.
-1081, 10
Let -2*v**5/3 + 57260*v**4/3 - 409609340*v**3/3 - 1093265200*v**2 - 1776844710*v - 820135044 = 0. What is v?
-6, -1, 14319
Suppose -4*z**3/5 - 162732*z**2/5 - 331232748*z - 4300527140 = 0. Calculate z.
-20335, -13
Find r such that 2*r**3/3 - 10718*r**2/3 - 21439*r/6 - 2680/3 = 0.
-1/2, 5360
Determine q, given that 4*q**5 - 540*q**4 - 1160*q**3 + 8760*q**2 + 1156*q - 8220 = 0.
-5, -1, 1, 3, 137
Suppose -g**2 - 21389*g - 21388 = 0. Calculate g.
-21388, -1
Solve -b**3 - 271608*b**2 = 0.
-271608, 0
Find n such that 3*n**4 + 207*n**3 - 11853*n**2 + 176865*n - 836550 = 0.
-110, 13, 15
Factor o**2/7 - 676*o/7 - 1380.
(o - 690)*(o + 14)/7
Factor 5*h**4 + 5755*h**3 + 1617960*h**2 - 22017060*h.
5*h*(h - 13)*(h + 582)**2
Let -o**5/2 - 69*o**4/2 - 133*o**3 - 197*o**2 - 261*o/2 - 65/2 = 0. Calculate o.
-65, -1
Suppose 2*b**3 + 969804*b**2/13 + 9043534200*b/13 + 1391290000/13 = 0. What is b?
-18650, -2/13
Factor f**2/5 + 36819*f/5 - 73642/5.
(f - 2)*(f + 36821)/5
What is o in 2*o**5/3 + 3192*o**4 + 3849412*o**3 + 205090952*o**2/3 + 125191830*o + 60674400 = 0?
-2385, -16, -1
Suppose -f**2/4 + 3031*f/2 + 103343/4 = 0. What is f?
-17, 6079
Solve 3*z**2 + 2664*z - 8019 = 0.
-891, 3
Find i such that -5*i**3 - 207610*i**2 - 2154887980*i + 4310606440 = 0.
-20762, 2
Factor 71*l**4 + 74*l**3 - 849*l**2 - 36*l.
l*(l - 3)*(l + 4)*(71*l + 3)
Solve -f**2/5 + 92*f/5 - 420 = 0.
42, 50
Suppose -2*m**5 + 9316*m**4 - 92936*m**3 - 111572*m**2 + 92938*m + 102256 = 0. What is m?
-1, 1, 11, 4648
Find x such that -49*x**5/2 + 7266*x**4 + 6359*x**3/2 - 18147*x**2 + 8914*x - 1188 = 0.
-2, 2/7, 1, 297
Factor 4*i**3/5 + 124*i**2/5 - 1528*i/5 - 704.
4*(i - 11)*(i + 2)*(i + 40)/5
Factor -2*b**2/13 + 832*b - 1124864.
-2*(b - 2704)**2/13
Determine w so that 2*w**2/3 + 2296*w - 222464/3 = 0.
-3476, 32
Factor -h**2/3 + 83*h - 246.
-(h - 246)*(h - 3)/3
Factor 40*s**3/7 + 388*s**2/7 + 880*s/7 - 300/7.
4*(s + 5)**2*(10*s - 3)/7
Factor -5*a**2 - 3045*a + 89180.
-5*(a - 28)*(a + 637)
Determine n, given that 6*n**3 + 30393*n**2 - 76014*n + 30408 = 0.
-5068, 1/2, 2
Let -k**4/4 - 956*k**3 - 3648087*k**2/4 + 3660525*k - 2747547 = 0. What is k?
-1914, 1, 3
Let 3*u**2 - 324126*u + 8754805323 = 0. What is u?
54021
Suppose -4*v**4 - 428*v**3 - 14952*v**2 - 176400*v - 296352 = 0. Calculate v.
-42, -21, -2
Determine q, given that q**2/5 + 3256*q/5 = 0.
-3256, 0
Determine n so that n**2 - 9536*n - 9537 = 0.
-1, 9537
Factor p**5 - 310*p**4 - 367*p**3 + 17416*p**2.
p**2*(p - 311)*(p - 7)*(p + 8)
Factor 3*o**5/4 + 33*o**4/4 - 390*o**3 + 2325*o**2.
3*o**2*(o - 10)**2*(o + 31)/4
What is p in 2*p**2 + 33250*p - 66508 = 0?
-16627, 2
Factor -6*x**3 - 24981*x**2 - 25970844*x + 65083335.
-3*(x + 2083)**2*(2*x - 5)
Determine o so that 3*o**2/7 + 384492*o/7 + 12319508172/7 = 0.
-64082
Factor -2*q**5 + 8724*q**4 - 9522242*q**3 + 19018320*q**2 - 9504800*q.
-2*q*(q - 2180)**2*(q - 1)**2
Determine r, given that -r**2/4 - 2778*r + 55585/4 = 0.
-11117, 5
What is g in -5*g**2 - 46105*g = 0?
-9221, 0
Determine d so that 60*d**5 - 180052*d**4 + 335812*d**3 + 228036*d**2 - 335872*d - 47984 = 0.
-1, -2/15, 1, 2, 2999
Let -4*r**3 - 8632*r**2 - 4691300*r - 36980000 = 0. What is r?
-1075, -8
Factor 2*j**2/3 + 202*j/3 - 280.
2*(j - 4)*(j + 105)/3
Let -34*b**2 - 182*b + 1116 = 0. Calculate b.
-9, 62/17
Suppose -12*r**3 + 95703*r**2 - 215277*r + 47838 = 0. What is r?
1/4, 2, 7973
Find t such that 2*t**3/3 - 2914*t**2/3 + 37484*t/3 + 28880 = 0.
-2, 15, 1444
Let -5*c**5/3 - 1087*c**4/3 - 45284*c**3/3 + 510020*c**2 - 1953600*c - 864000 = 0. What is c?
-120, -2/5, 5, 18
Factor -2*j**2 + 241760*j - 7305987200.
-2*(j - 60440)**2
Factor -5*x**3 - 300*x**2 + 1145*x + 12600.
-5*(x - 8)*(x + 5)*(x + 63)
Factor 3*k**5 - 847*k**4 - 5732*k**3 - 13824*k**2 - 13856*k - 4624.
(k - 289)*(k + 2)**3*(3*k + 2)
Let l**4/3 + 343*l**3 - 4152*l**2 + 37444*l/3 - 11104 = 0. What is l?
-1041, 2, 8
Solve -5*r**2 - 12105*r - 36270 = 0.
-2418, -3
Let -4*s**5 - 1296*s**4 + 21424*s**3 - 113664*s**2 + 195840*s = 0. What is s?
-340, 0, 4, 6
Let -4*o**4 - 152*o**3 + 1476*o**2 + 152*o - 1472 = 0. Calculate o.
-46, -1, 1, 8
What is h in 2*h**4/9 + 10*h**3/3 - 1186*h**2/3 - 3350*h/9 + 117500 = 0?
-47, -18, 25
Determine p so that p**2/8 - 399*p/8 - 50 = 0.
-1, 400
Find x such that x**3/2 - 47*x**2 - 300*x = 0.
-6, 0, 100
Let -2*y**5/15 - 140*y**4/3 - 19698*y**3/5 + 380908*y**2/15 + 59096*y/15 - 126736/5 = 0. What is y?
-178, -1, 1, 6
Factor g**4 + 9829*g**3 + 32216175*g**2 + 35255129375*g + 140505687500.
(g + 4)*(g + 3275)**3
Solve 2*c**5/7 - 332*c**4/7 + 13442*c**3/7 + 3984*c**2 + 2016*c = 0 for c.
-1, 0, 84
Suppose 6*t**2 + 746*t + 248 = 0. What is t?
-124, -1/3
Factor -8*p**3 - 460*p**2 - 4184*p + 2208.
-4*(p + 12)*(p + 46)*(2*p - 1)
Factor 2*d**2/11 - 1692*d/11 + 11746/11.
2*(d - 839)*(d - 7)/11
Suppose 56*o**5 + 1571*o**4 + 6075*o**3 - 326*o**2 - 11312*o + 3936 = 0. Calculate o.
-164/7, -4, -2, 3/8, 1
Let 4*l**3/7 - 14186*l**2/7 + 12581208*l/7 - 6287058/7 = 0. What is l?
1/2, 1773
Determine t, given that 3*t**2 + 6555528*t + 3581245613232 = 0.
-1092588
Let 4*j**2/7 + 1396*j/7 + 33592/7 = 0. Calculate j.
-323, -26
Factor -5*u**2 - 57890*u - 167562605.
-5*(u + 5789)**2
Factor -r**2 + 26468*r.
-r*(r - 26468)
What is w in 4*w**4/13 + 13998*w**3/13 - 7006*w**2/13 - 21000*w/13 = 0?
-3500, -1, 0, 3/2
What is w in -5*w**3/3 + 77*w**2/6 - 47*w/2 = 0?
0, 3, 47/10
Determine h so that 4*h**4/3 + 104*h**3/3 + 560*h**2/3 - 1568*h/3 = 0.
-14, 0, 2
Factor -3*b**3/4 + 91233*b**2/2 - 693576072*b - 1387334616.
-3*(b - 30412)**2*(b + 2)/4
Suppose -10*b**3 + 208*b**2 - 1242*b + 2124 = 0. What is b?
3, 6, 59/5
Factor 4*y**3 - 2445*y**2 + 329411*y - 82200.
(y - 411)*(y - 200)*(4*y - 1)
Let -3*z**2 - 957*z - 4710 = 0. Calculate z.
-314, -5
Suppose -3*g**2/2 + 10905*g/2 - 754056 = 0. What is g?
144, 3491
Solve 20*w**3/3 + 548*w**2/3 - 43184*w/3 - 17360/3 = 0 for w.
-62, -2/5, 35
Determine u so that 2*u**5 - 9796*u**4/3 + 1784272*u**3 - 330203744*u**2 + 6389954528*u/3 - 1273760704 = 0.
2/3, 6, 542
Let -3*t**2 - 4581528*t - 1749199901232 = 0. What is t?
-763588
Suppose -10*q**3 - 5625*q**2 - 25085*q + 13950 = 0. Calculate q.
-558, -5, 1/2
Factor 2*g**4/9 + 16*g**3/3 + 22*g**2 + 152*g/9.
2*g*(g + 1)*(g + 4)*(g + 19)/9
Find t, given that t**2 - 85334*t + 1820472889 = 0.
42667
Factor 5*p**5 - 30*p**4 - 210*p**3 + 760*p**2 - 795*p + 270.
5*(p - 9)*(p - 1)**3*(p + 6)
Factor -2*a**2/7 - 1812*a/7 - 40618/7.
-2*(a + 23)*(a + 883)/7
Solve -18*r**4/7 - 10*r**3 - 8*r**2/7 + 120*r/7 = 0 for r.
-3, -2, 0, 10/9
Factor j**2/4 - 368*j - 19305/4.
(j - 1485)*(j + 13)/4
Factor -g**2 - 6773*g.
-g*(g + 6773)
Factor 2855*v**3/3 + 7614*v**2 + 15232*v + 32/3.
(v + 4)**2*(2855*v + 2)/3
Factor o**3/9 - 185*o**2/9 - 14641*o/9 - 14455/9.
(o - 245)*(o + 1)*(o + 59)/9
Factor 2*t**2/9 - 544*t/9 + 5240/9.
2*(t - 262)*(t - 10)/9
Factor 25*z**3/3 - 106765*z**2/3 - 1755989*z/3 - 2402149.
(z - 4287)*(5*z + 41)**2/3
Determine t, given that -t**4 + 81*t**3 + 3194*t**2 - 324*t - 12760 = 0.
-29, -2, 2, 110
Find h, given that 324*h**4 - 111312*h**3 + 8789200*h**2 + 3922816*h + 436480 = 0.
-2/9, 124, 220
Factor 3*u**5/2 + 88689*u**4/2 + 655611249*u**3/2 + 1966301643*u**2/2 + 983062140*u + 327672600.
3*(u + 1)**3*(u + 14780)**2/2
Suppose -3*v**3/4 + 553275*v**2/4 - 25509158829*v/4 - 25509712107/4 = 0. Calculate v.
-1, 92213
Determine f so that -f**5/5 - 22*f**4/5 - 9*f**3 + 772*f**2/5 - 704*f/5 = 0.
-16, -11, 0, 1, 4
Suppose d**2/5 + 1658*d/5 = 0. What is d?
-1658, 0
Factor -6*o**3/5 - 355012*o**2/5 - 5251515008*o/5 - 3500852224/5.
-2*(o + 29584)**2*(3*o + 2)/5
Factor x**2/3 - 251*x - 86254/3.
(x - 854)*(x + 101)/3
Solve 4*l**5/5 - 772*l**3/5 - 3664*l**2/5 - 5712*l/5 - 2816/5 = 0.
-11, -2, -1, 16
Find b such that 5*b**4 + 125*b**3 - 15*b**2 - 365*b + 250 = 0.
-25, -2, 1
Determine c, given that -3*c**3/5 - 72*c**2/5 + 1083*c/5 - 504 = 0.
-35, 3, 8
Find j, given that 5*j**2 + 3070*j + 361725 = 0.
-455, -159
What is p in -2*p**3 + 1564*p**2 + 230386*p + 454500 = 0?
-125, -2, 909
Solve 3*c**3/4 + 99*c**2 + 2295*c/4 - 411825