w**3/2 + 2231*w**2/2 - w/2 - 2231/2 = 0.
-2231, -1, 1
Find a, given that 5*a**5 - 110*a**4 + 520*a**3 - 640*a**2 = 0.
0, 2, 4, 16
Let -2*d**2/11 - 28044*d/11 + 28046/11 = 0. What is d?
-14023, 1
Suppose 3*f**4/2 - 648*f**3 + 134013*f**2/2 + 205578*f + 137922 = 0. Calculate f.
-2, -1, 181, 254
Factor -4*t**2/9 + 127528*t/9.
-4*t*(t - 31882)/9
Factor 5*w**3 - 145*w**2 - 3120*w - 7920.
5*(w - 44)*(w + 3)*(w + 12)
Factor 3*c**4/5 + 3216*c**3/5 + 926778*c**2/5 + 6956208*c + 70178535.
3*(c + 21)**2*(c + 515)**2/5
Determine f so that 2523*f**5 - 166344*f**4 - 1300734*f**3 - 89112*f**2 - 1533*f = 0.
-7, -1/29, 0, 73
What is m in 6*m**3/11 + 7176*m**2/11 + 42870*m/11 + 35700/11 = 0?
-1190, -5, -1
Determine y so that -2*y**2/21 + 292*y/21 + 107440/21 = 0.
-170, 316
Determine z so that 5*z**3 + 855*z**2 - 173150*z - 174000 = 0.
-290, -1, 120
Solve -f**4/7 + 33010*f**3/7 - 38911716*f**2 - 77842296*f = 0.
-2, 0, 16506
What is t in -8*t**4/3 + 15502*t**3/3 - 3337236*t**2 + 2154185192*t/3 + 539172272/3 = 0?
-1/4, 646
Suppose -7*n**5/5 + 1269*n**4/5 + 3502*n**3/5 - 1104*n**2/5 = 0. Calculate n.
-3, 0, 2/7, 184
Suppose -5*v**4 - 130*v**3 + 1405*v**2 + 1530*v = 0. Calculate v.
-34, -1, 0, 9
Find l, given that -3*l**3/8 - 1185*l**2/8 + 42891*l/8 - 371943/8 = 0.
-429, 17
Factor 2*o**4 - 128*o**3 - 1266*o**2 - 3472*o - 2336.
2*(o - 73)*(o + 1)*(o + 4)**2
Find v such that -3*v**5 + 306*v**4 - 1860*v**3 - 14250*v**2 + 138375*v - 285000 = 0.
-8, 5, 95
Let -16*m**3 + 84*m**2 + 1764*m + 2744 = 0. What is m?
-7, -7/4, 14
Solve -1369*x**3/5 + 39389016*x**2/5 - 851652*x + 115088/5 = 0 for x.
2/37, 28772
Determine k so that -3*k**5 - 324*k**4 + 2364*k**3 - 5814*k**2 + 5847*k - 2070 = 0.
-115, 1, 2, 3
Factor 27*q**3 - 195216*q**2 + 1018755*q - 216750.
3*(q - 7225)*(q - 5)*(9*q - 2)
Factor -3*u**3 + 363*u**2 + 3*u - 363.
-3*(u - 121)*(u - 1)*(u + 1)
Let -3*n**5 + 117*n**4 + 378*n**3 + 12*n**2 - 504*n = 0. Calculate n.
-2, 0, 1, 42
Factor -m**4 + 4509*m**3 - 9015*m**2 + 4507*m.
-m*(m - 4507)*(m - 1)**2
Solve 5*k**3/4 - 15*k**2/2 + 15*k - 10 = 0 for k.
2
What is s in 2*s**2/9 - 2050*s/9 + 8168/9 = 0?
4, 1021
Suppose 6*p**4/11 - 12682*p**3/11 + 6686564*p**2/11 + 15662632*p/11 + 4477456/11 = 0. What is p?
-2, -1/3, 1058
Determine k, given that 3*k**2/5 - 2079*k/5 + 228516/5 = 0.
137, 556
Suppose -n**4/3 - 191*n**3/3 + 260*n**2 = 0. Calculate n.
-195, 0, 4
Factor -3*q**5 + 5520*q**4 + 16578*q**3 + 16584*q**2 + 5529*q.
-3*q*(q - 1843)*(q + 1)**3
Find c such that -7*c**5 + 2729*c**4 - 273849*c**3 + 1533303*c**2 - 2097792*c - 331776 = 0.
-1/7, 3, 192
Find l, given that 4*l**4 + 17480*l**3 + 52416*l**2 + 52408*l + 17468 = 0.
-4367, -1
Suppose -g**2 - 782*g - 121197 = 0. What is g?
-569, -213
Factor -12*h**2 + 11120*h + 3708.
-4*(h - 927)*(3*h + 1)
Suppose -3*w**5/7 + 750*w**4/7 + 11811*w**3/7 + 30138*w**2/7 + 19080*w/7 = 0. What is w?
-12, -2, -1, 0, 265
Factor 2*m**2/21 + 12452*m/21.
2*m*(m + 6226)/21
Determine s, given that s**4/8 + 181*s**3/8 - 23*s**2 - 91*s/2 = 0.
-182, -1, 0, 2
Find j, given that -15*j**5 + 125*j**4 + 100*j**3 - 2000*j**2 + 2240*j = 0.
-4, 0, 4/3, 4, 7
Suppose 3*z**5/4 - 10647*z**4/4 + 6292353*z**3/2 - 1235358960*z**2 - 3766086144*z + 12448481280 = 0. Calculate z.
-5, 2, 1184
Solve l**5 + 50*l**4 + 305*l**3 + 160*l**2 - 516*l = 0.
-43, -6, -2, 0, 1
Let 21*f**3/4 + 21465*f**2/2 - 18417*f - 6138 = 0. Calculate f.
-2046, -2/7, 2
Let -p**4 + 7637*p**3 - 19377198*p**2 + 16170308764*p + 416488186600 = 0. Calculate p.
-25, 2554
Factor -x**4/3 - 2*x**3 + 248*x**2/3 - 256*x - 2560/3.
-(x - 8)**2*(x + 2)*(x + 20)/3
Factor 4*m**2 + 88088*m + 484968484.
4*(m + 11011)**2
Factor -4*f**2/5 + 3772*f/5 + 5320.
-4*(f - 950)*(f + 7)/5
Solve -5*p**3 - 3005*p**2 - 8980*p - 5980 = 0 for p.
-598, -2, -1
Find g such that -3*g**2 - 79376*g + 26459 = 0.
-26459, 1/3
Factor 3*q**2 + 104772*q + 209532.
3*(q + 2)*(q + 34922)
Let -z**5/2 + 12*z**4 - 58*z**3 - 181*z**2 + 117*z/2 + 169 = 0. Calculate z.
-2, -1, 1, 13
Solve -j**4/4 + 35*j**3 + 291*j**2/4 - 499*j/2 + 142 = 0 for j.
-4, 1, 142
Suppose -24*h**5 + 340*h**4 + 6300*h**3 + 5000*h**2 = 0. Calculate h.
-10, -5/6, 0, 25
Suppose -5*j**5 - 337*j**4 - 6794*j**3 - 37764*j**2 - 68040*j - 21600 = 0. Calculate j.
-30, -4, -3, -2/5
Factor 2*h**3 - 12212*h**2 + 48792*h + 146448.
2*(h - 6102)*(h - 6)*(h + 2)
Factor 3*r**3/4 - 2853*r**2/2 + 5697*r - 5694.
3*(r - 1898)*(r - 2)**2/4
Determine k so that -k**5/4 + 7*k**4 - 10*k**3 - 80*k**2 + 44*k + 208 = 0.
-2, 2, 4, 26
Factor i**4/4 - i**3/4 - 41*i**2/2 - 20*i.
i*(i - 10)*(i + 1)*(i + 8)/4
Let -3*l**3 - 127*l**2/4 - 51*l/4 + 95/2 = 0. Calculate l.
-10, -19/12, 1
Factor -w**2 + 8837*w - 8836.
-(w - 8836)*(w - 1)
Let -3*h**3 + 159*h**2 + 12075*h + 157113 = 0. What is h?
-23, 99
Determine u, given that -4*u**2/5 - 2864*u/5 + 8176 = 0.
-730, 14
Solve -3*u**5 - 1854*u**4 - 322146*u**3 - 17431932*u**2 - 33904827*u - 16793190 = 0 for u.
-370, -123, -1
Find y such that 8*y**3/5 + 174*y**2/5 + 76*y/5 - 816 = 0.
-20, -6, 17/4
Factor -3*l**2/5 + 183726*l/5 + 183729/5.
-3*(l - 61243)*(l + 1)/5
Suppose 3*k**2/7 + 598398*k/7 - 1196808/7 = 0. What is k?
-199468, 2
Factor 2*v**4/9 + 452*v**3/3 + 244274*v**2/9 + 1630816*v/3 + 26035328/9.
2*(v + 11)**2*(v + 328)**2/9
Factor -2*h**3 - 7436*h**2 - 22282*h + 29720.
-2*(h - 1)*(h + 4)*(h + 3715)
Factor k**5 + 174*k**4 + 9588*k**3 + 156520*k**2 - 352800*k.
k*(k - 2)*(k + 36)*(k + 70)**2
Factor -g**2/2 - 21837*g + 131031/2.
-(g - 3)*(g + 43677)/2
Find v, given that -3*v**5 + 1713*v**4 + 15588*v**3 + 41712*v**2 + 27840*v = 0.
-4, -1, 0, 580
Let -4*s**5 - 644*s**4 - 35176*s**3 - 728904*s**2 - 4042836*s + 19691532 = 0. Calculate s.
-61, -21, 3
Suppose -5*w**3 + 24400*w**2 - 48780*w = 0. What is w?
0, 2, 4878
Solve 44*b**3/7 - 870*b**2/7 + 2908*b/7 - 2082/7 = 0.
1, 3, 347/22
Factor o**3/7 + 116007*o**2/7 - 232017*o/7 + 116009/7.
(o - 1)**2*(o + 116009)/7
Suppose 225*c**4 + 12765*c**3 + 138334*c**2 - 37572*c + 2520 = 0. What is c?
-42, -15, 2/15
Solve 9*b**5 + 84*b**4 + 156*b**3 - 234*b**2 - 165*b + 150 = 0.
-5, -1, 2/3, 1
Factor -w**2/2 + 1857*w/2 + 8397.
-(w - 1866)*(w + 9)/2
Solve 7*j**3/5 + 656*j**2/5 + 463*j/5 - 186/5 = 0.
-93, -1, 2/7
Suppose 5*s**4 - 2200*s**3 + 237560*s**2 + 976800*s + 985680 = 0. What is s?
-2, 222
Factor 2*u**2/11 - 338*u/11 - 7980/11.
2*(u - 190)*(u + 21)/11
Find u such that -u**4/5 + 7*u**3/5 - u**2 - 7*u/5 + 6/5 = 0.
-1, 1, 6
What is x in 3*x**2 - 473838*x + 18710204187 = 0?
78973
Factor d**2/2 - 69*d + 520.
(d - 130)*(d - 8)/2
Factor -3*i**3/5 - 3423*i**2/5 - 10800*i.
-3*i*(i + 16)*(i + 1125)/5
Factor 4*n**2 + 2248*n.
4*n*(n + 562)
Find o such that 4*o**4 - 6768*o**3 + 2883096*o**2 - 17116272*o + 25583364 = 0.
3, 843
What is b in 27*b**4 - 726*b**3 - 8307*b**2 - 19434*b - 11880 = 0?
-55/9, -2, -1, 36
Factor -2*s**4 + 68*s**3 - 210*s**2 - 7056*s.
-2*s*(s - 21)**2*(s + 8)
Factor 4*r**2 - 128000*r + 1024000000.
4*(r - 16000)**2
Let 5*u**2/3 + 1000*u/3 - 75375 = 0. What is u?
-335, 135
What is u in -u**3 - 464*u**2 + 19115*u + 19578 = 0?
-502, -1, 39
Factor 3*s**3 - 30*s**2 - 6837*s.
3*s*(s - 53)*(s + 43)
Solve 45*s**5/4 + 141*s**4 + 747*s**3/4 - 42*s**2 - 99*s = 0.
-11, -6/5, -1, 0, 2/3
Find d, given that -2*d**5/15 + 18*d**4/5 - 224*d**3/15 + 24*d**2/5 + 352*d/15 = 0.
-1, 0, 2, 4, 22
Factor 2*i**3 - 1502*i**2 - 134624*i - 133120.
2*(i - 832)*(i + 1)*(i + 80)
Determine y so that -2*y**2/7 + 125392*y/7 - 71648 = 0.
4, 62692
Factor 4*l**4/5 + 3924*l**3/5 + 1121988*l**2/5 + 5734124*l - 19194719448/5.
4*(l - 102)*(l + 361)**3/5
Suppose 11*t**5 - 1415*t**4 + 48588*t**3 - 193564*t**2 - 76880*t = 0. Calculate t.
-4/11, 0, 5, 62
Factor 2*f**2 + 792*f + 2358.
2*(f + 3)*(f + 393)
Find b, given that 2*b**5/9 + 98*b**4/9 + 698*b**3/9 + 586*b**2/3 + 164*b = 0.
-41, -3, -2, 0
Suppose -9*p**4 - 219*p**3/5 + 4488*p**2 - 119628*p/5 + 15552/5 = 0. What is p?
-27, 2/15, 6, 16
Suppose -6*f**5/11 + 246*f**4/11 - 810*f**3/11 - 23190*f**2/11 - 75984*f/11 - 4896 = 0. What is f?
-4, -1, 17, 33
Factor m**3 - 12188*m**2 - 24379*m - 12190.
(m - 12190)*(m + 1)**2
Solve -2*x**4/5 + 26*x**3 - 1522*x**2/5 - 7858*x/5 - 6204/5 = 0 for x.
-3, -1, 22, 47
Factor 28*j**3 + 26352*j**2 + 3732*j - 30112.
4*(j - 1)*(j + 941)*(7*j + 8)
Factor 25*c**2 - 13690*c + 8205.
5*(c - 547)*(5*c - 3