52 = 0.
-32, -4, -3, 1
Find q, given that -103*q**4/6 + 445*q**3/2 - 369*q**2 - 44*q/3 = 0.
-4/103, 0, 2, 11
Solve -125*l**5 + 34600*l**4 - 130245*l**3 + 155870*l**2 - 71020*l + 10920 = 0 for l.
2/5, 1, 2, 273
Suppose 46*b**2/11 - 277936*b/11 + 24168/11 = 0. What is b?
2/23, 6042
Factor -4*v**2 + 1496*v - 93220.
-4*(v - 295)*(v - 79)
Factor 5*j**2 + 2336655*j - 2336660.
5*(j - 1)*(j + 467332)
Suppose -5*o**5/4 + 235*o**4/4 - 1085*o**3 + 9825*o**2 - 43560*o + 75600 = 0. Calculate o.
6, 7, 10, 12
Factor -k**4 + 277*k**3 - 4205*k**2 + 7583*k - 3654.
-(k - 261)*(k - 14)*(k - 1)**2
Determine n, given that -294*n**3 + 868098*n**2 - 1239915*n/2 + 110700 = 0.
5/14, 2952
Factor -10*p**2/19 - 5529814*p/19 - 2211924/19.
-2*(p + 552981)*(5*p + 2)/19
Suppose 4*z**4 + 456*z**3 + 8900*z**2 = 0. What is z?
-89, -25, 0
Solve 3*n**3 + 94414*n**2 + 742802144*n - 495243392 = 0 for n.
-15736, 2/3
Factor -2627*t**2/4 + 40718*t + 31.
-(t - 62)*(2627*t + 2)/4
Suppose 16*w**4/3 + 401*w**3/3 - 36103*w**2/3 + 33454*w/3 + 744 = 0. Calculate w.
-62, -1/16, 1, 36
Factor -3*h**3 + 423*h**2 - 6045*h + 5625.
-3*(h - 125)*(h - 15)*(h - 1)
Find v such that -3*v**5 + 7431*v**4 - 22254*v**3 - 29688*v**2 = 0.
-1, 0, 4, 2474
Factor m**2 + 2*m - 1155.
(m - 33)*(m + 35)
Factor -p**4 + 2272*p**3 - 1290496*p**2.
-p**2*(p - 1136)**2
Let -d**4 - 11974*d**3 - 35832193*d**2 + 71700312*d - 35856144 = 0. Calculate d.
-5988, 1
Suppose 4*k**4 - 65228*k**3 + 265624512*k**2 + 2395384592*k + 2129694848 = 0. Calculate k.
-8, -1, 8158
Factor -2*b**2 + 262740*b - 8629038450.
-2*(b - 65685)**2
Determine z, given that -2*z**5 - 1656*z**4 + 20056*z**3 - 87168*z**2 + 161152*z - 107520 = 0.
-840, 2, 4
Suppose s**4/12 - 43*s**3/12 - 185*s**2/4 - 687*s/4 - 405/2 = 0. What is s?
-5, -3, 54
Factor -3*k**3/4 - 19881*k**2/2 + 119313*k/4.
-3*k*(k - 3)*(k + 13257)/4
Solve -4*p**3 + 2300*p**2 - 353452*p + 6445236 = 0.
21, 277
Factor o**2/3 - 52754*o/3 + 695746129/3.
(o - 26377)**2/3
Solve -2*s**4 + 5832*s**3 + 23370*s**2 - 29200*s = 0 for s.
-5, 0, 1, 2920
Factor -q**2/3 + 157876*q - 18693623532.
-(q - 236814)**2/3
Solve -36*l**3 - 976*l**2 + 27836*l - 51480 = 0.
-45, 2, 143/9
Solve -p**5/2 + 56*p**4 - 2401*p**3/2 - 20301*p**2 - 83142*p - 103788 = 0 for p.
-6, -3, 62
Find b such that -14955577849*b**2/3 - 489172*b - 12 = 0.
-6/122293
Find s such that 15*s**4 - 115*s**3 - 60*s**2 + 160*s = 0.
-4/3, 0, 1, 8
Solve 4*c**2/3 + 38104*c - 228640/3 = 0.
-28580, 2
Factor 2*u**3 + 1620*u**2 + 48634*u + 261744.
2*(u + 7)*(u + 24)*(u + 779)
Determine a so that 2*a**5/3 - 188*a**4/3 - 136*a**3 + 2288*a**2/3 + 1600*a/3 - 2048 = 0.
-4, -2, 2, 96
Let 3*l**4 + 2787*l**3 - 39531*l**2 + 70689*l - 33948 = 0. Calculate l.
-943, 1, 12
Solve -3*u**4/4 + 39387*u**3/4 + 433623*u**2/4 - 39387*u/4 - 108405 = 0 for u.
-11, -1, 1, 13140
Factor -q**2/8 + 46797*q/4 - 93593/8.
-(q - 93593)*(q - 1)/8
Factor -z**2/6 - 7675*z/6 - 26789.
-(z + 21)*(z + 7654)/6
Suppose -146*f**2/7 - 706*f/7 + 120/7 = 0. What is f?
-5, 12/73
Determine t so that 4*t**2 + 2616152*t + 427765705444 = 0.
-327019
Suppose 22*o**2/3 - 2267*o/3 = 0. Calculate o.
0, 2267/22
Find z such that 15*z**5 - 320*z**4 + 2075*z**3 - 4170*z**2 + 820*z + 3080 = 0.
-2/3, 2, 7, 11
Determine j, given that -25*j**4/2 - 2570*j**3 + 1030*j**2 = 0.
-206, 0, 2/5
Factor x**3/2 - 61*x**2/2 - 525*x.
x*(x - 75)*(x + 14)/2
Determine o, given that -2*o**2/3 + 21562*o/3 + 172624/3 = 0.
-8, 10789
Let 2*k**4/3 - 620*k**3 - 6274*k**2 + 20680*k/3 = 0. Calculate k.
-11, 0, 1, 940
Let -3*o**2/4 - 45867*o/4 = 0. Calculate o.
-15289, 0
Let 5*i**2 - 68005*i - 68010 = 0. Calculate i.
-1, 13602
Suppose 2*q**3 - 140*q**2 - 6984*q - 68688 = 0. Calculate q.
-18, 106
Let 3*v**4/2 + 40410*v**3 + 544645857*v**2/2 + 2176280658*v + 1903998138 = 0. Calculate v.
-13466, -7, -1
Determine w so that w**5/4 + 2009*w**4/4 + 501983*w**3/2 - 2548217*w**2/2 - 13196735*w/4 - 7098343/4 = 0.
-1007, -1, 7
Factor -7*g**2/4 - 47437*g/4 + 6777/2.
-(g + 6777)*(7*g - 2)/4
Solve -5*s**4/8 - 61*s**3/8 - 101*s**2/8 + 693*s/8 + 441/4 = 0.
-7, -6/5, 3
Solve c**4/2 - 895*c**3/4 - 27221*c**2/4 + 21197*c/2 - 3570 = 0 for c.
-30, 1/2, 1, 476
Suppose 2*h**2 + 120*h + 1750 = 0. Calculate h.
-35, -25
What is o in 6*o**3/5 + 579*o**2/5 + 9921*o/5 - 5106/5 = 0?
-74, -23, 1/2
Solve -g**2/2 - 11034*g - 60874578 = 0.
-11034
Factor -2*z**3/13 - 882*z**2/13 - 3216*z + 13646560/13.
-2*(z - 95)*(z + 268)**2/13
Suppose -4*y**3 + 123224*y**2 - 1724548*y + 6035232 = 0. Calculate y.
7, 30792
What is w in -4*w**3 + 2716*w**2 + 5508*w - 40860 = 0?
-5, 3, 681
Suppose 815*p**3/3 + 17105*p**2/3 - 70*p = 0. Calculate p.
-21, 0, 2/163
Let -2*f**5 - 1072*f**4 - 126020*f**3 + 4917408*f**2 + 15857622*f = 0. Calculate f.
-283, -3, 0, 33
Factor 3*h**2/4 - 153420*h + 7845898800.
3*(h - 102280)**2/4
Solve 5*z**3 - 370*z**2 + 5745*z + 6120 = 0 for z.
-1, 24, 51
Find t, given that -42*t**5 - 4856*t**4 + 519682*t**3 + 326312*t**2 - 297736*t - 99552 = 0.
-183, -1, -2/7, 2/3, 68
Suppose 2*m**2/11 + 1236*m/11 - 4976/11 = 0. Calculate m.
-622, 4
Find o, given that 175*o**3 - 10*o**2 - 17500*o + 1000 = 0.
-10, 2/35, 10
Suppose -v**5 - 152*v**4 + 8344*v**3 - 8038*v**2 - 8343*v + 8190 = 0. What is v?
-195, -1, 1, 42
Factor -n**2 + 3211*n + 166362.
-(n - 3262)*(n + 51)
Solve 2*o**2/3 - 1216*o - 25830 = 0 for o.
-21, 1845
What is o in 3*o**2 + 11175*o + 22338 = 0?
-3723, -2
Factor 5*k**3 - 1955*k**2 + 7760*k - 7740.
5*(k - 387)*(k - 2)**2
Factor -2*c**2 - 33992*c - 144432008.
-2*(c + 8498)**2
Solve -3*i**4 - 7254*i**3 + 36324*i**2 - 50874*i + 21807 = 0.
-2423, 1, 3
Determine y, given that -4*y**3 + 476*y**2 - 14848*y + 40368 = 0.
3, 58
Solve -15*n**4 - 87725*n**3 - 126682870*n**2 + 4628560340*n - 3029377400 = 0.
-2942, 2/3, 35
Solve -5*q**2 - 17035*q + 256650 = 0 for q.
-3422, 15
Solve 14*d**5/13 - 304*d**4/13 + 1252*d**3/13 + 7552*d**2/13 - 26994*d/13 - 87120/13 = 0.
-3, 40/7, 11
What is w in 4*w**5 + 148*w**4 + 180*w**3 - 3700*w**2 - 7000*w = 0?
-35, -5, -2, 0, 5
What is c in 2*c**3/9 + 314*c**2/9 + 12592*c/9 + 23944/9 = 0?
-82, -73, -2
Factor -28224*w**3 - 122784*w**2 - 144100*w - 22500.
-4*(12*w + 25)**2*(49*w + 9)
Find z such that 3*z**4 + 7176*z**3 + 5128338*z**2 + 1001159640*z + 58393305675 = 0.
-1065, -131
Find l, given that 5*l**5 - 660*l**4 + 24705*l**3 - 284310*l**2 = 0.
0, 27, 78
Factor -2*a**2 - 1682*a + 1052524.
-2*(a - 418)*(a + 1259)
Suppose -4*i**3/7 - 1704*i**2/7 - 144768*i/7 - 497536 = 0. What is i?
-322, -52
What is i in 3*i**4 + 75*i**3 + 450*i**2 + 240*i - 768 = 0?
-16, -8, -2, 1
Suppose o**3 + 1062*o**2 + 97259*o + 190278 = 0. Calculate o.
-961, -99, -2
Find o, given that -o**4 + 47622*o**3 - 566963721*o**2 = 0.
0, 23811
Solve -2*r**2/3 + 376*r/3 - 5778 = 0 for r.
81, 107
Factor 2*b**3/5 + 2992*b**2/5 + 193736*b - 116000224/5.
2*(b - 92)*(b + 794)**2/5
Factor y**3 - 4023*y**2 + 4032015*y + 28421575.
(y - 2015)**2*(y + 7)
Suppose 3*g**3 + 36615*g**2 + 111262425*g - 2804491875 = 0. What is g?
-6115, 25
Let -2*z**4/11 - 1792*z**3/11 - 3576*z**2/11 = 0. Calculate z.
-894, -2, 0
Let 15*r**4 - 287015*r**3 + 1372720970*r**2 + 2288474240*r + 915466240 = 0. What is r?
-1, -2/3, 9568
Find j such that -32*j**4 + 972*j**3 - 360*j**2 = 0.
0, 3/8, 30
Solve -4*u**2/7 + 688*u/7 - 18348/7 = 0.
33, 139
Suppose -3*m**3 + 24426*m**2 + 48888*m - 195456 = 0. What is m?
-4, 2, 8144
What is c in -3*c**3 - 222*c**2 - 2868*c - 4872 = 0?
-58, -14, -2
Find k, given that 9*k**5 - 244*k**4 + 118*k**3 + 3064*k**2 - 127*k - 2820 = 0.
-3, -1, 1, 4, 235/9
Solve -26*g**5 + 1140*g**4 - 4088*g**3 + 3504*g**2 + 640*g = 0 for g.
-2/13, 0, 2, 40
Suppose g**5/3 + 1013*g**4/3 + 674*g**3 - 2*g**2/3 - 2023*g/3 - 337 = 0. What is g?
-1011, -1, 1
Let -x**5/2 + 184*x**4 - 33485*x**3/2 - 34225*x**2 = 0. Calculate x.
-2, 0, 185
Find p such that 2*p**4/3 + 248*p**3/3 - 2098*p**2/3 + 616*p = 0.
-132, 0, 1, 7
Factor 55*m**2 - 535*m + 360.
5*(m - 9)*(11*m - 8)
Factor 2*i**5/13 + 38*i**4/13 - 292*i**3/13 - 3820*i**2/13 + 34850*i/13 - 72250/13.
2*(i - 5)**3*(i + 17)**2/13
Factor -4*i**3 + 2068*i**2 + 477480*i.
-4*i*(i - 690)*(i + 173)
Factor -t**2 + 370200*t - 34262010000.
-(t - 185100)**2
Let -3*x**2 + 1095*x + 80892 = 0. Calculate x.
-63, 428
Determine r, given that -3*r**5/4 - 141*r**4 - 279*r**3 + 3*r**2/2 + 1119