-w**2/4 - 8129*w - 32515/4 = 0. What is w?
-32515, -1
Determine m, given that 9802*m**2 - 4342*m - 84 = 0.
-7/377, 6/13
Factor 4*p**3/5 + 272*p**2/5 + 1948*p/5 + 336.
4*(p + 1)*(p + 7)*(p + 60)/5
Find c such that 2*c**5/5 + 38*c**4 + 3572*c**3/5 - 16632*c**2/5 + 17424*c/5 = 0.
-66, -33, 0, 2
Find v such that -3*v**4 + 27*v**3 + 273*v**2 - 27*v - 270 = 0.
-6, -1, 1, 15
Determine c so that 5*c**3 + 2280*c**2 - 189725*c + 187440 = 0.
-528, 1, 71
Solve 3*m**2 - 135936*m = 0.
0, 45312
Suppose -6*c**5/5 - 247*c**4/5 + 738*c**3/5 - 88*c**2 = 0. What is c?
-44, 0, 5/6, 2
Solve 2*k**2/3 + 9256*k/3 - 3086 = 0 for k.
-4629, 1
Let 15*s**5/2 - 403*s**4/2 + 1128*s**3 - 2006*s**2 + 912*s + 160 = 0. Calculate s.
-2/15, 1, 2, 4, 20
Suppose -3*a**5/2 + 94239*a**4/4 + 329901*a**3/4 + 70707*a**2/2 - 94257*a - 47130 = 0. Calculate a.
-2, -1/2, 1, 15710
Factor -5*n**3 - 599075*n**2 - 3594315*n - 5391405.
-5*(n + 3)**2*(n + 119809)
Suppose 2*n**3 - 42524*n**2 + 225993792*n + 452157696 = 0. What is n?
-2, 10632
Solve -c**5/2 + 76*c**4 - 6189*c**3/2 + 14819*c**2 + 42632*c = 0 for c.
-2, 0, 8, 73
Factor 7*i**4/4 + 313*i**3/4 - 187*i**2 + 47*i.
i*(i - 2)*(i + 47)*(7*i - 2)/4
Suppose -5*b**3 - 141820*b**2 - 141815*b = 0. What is b?
-28363, -1, 0
Determine i so that -3*i**5/7 - 33*i**4/7 + 18*i**3/7 + 60*i**2 - 600*i/7 = 0.
-10, -5, 0, 2
Find o such that o**4 + 49*o**3 + 140*o**2 + 92*o = 0.
-46, -2, -1, 0
Factor -43*u**4/6 - 6135*u**3/2 - 214*u**2/3.
-u**2*(u + 428)*(43*u + 1)/6
Factor -2*m**2/9 - 1013804*m/9 - 128474818802/9.
-2*(m + 253451)**2/9
Suppose -l**5/6 + 35*l**4/3 - 647*l**3/3 + 1192*l**2/3 + 82807*l/6 - 82943/3 = 0. What is l?
-7, 2, 17, 41
Find n, given that -2*n**3/9 + 62*n**2 - 13066*n/3 + 38642/9 = 0.
1, 139
Solve h**2/3 + 455*h = 0 for h.
-1365, 0
What is c in -5*c**2 + 2015*c + 35700 = 0?
-17, 420
Factor -2*j**3 + 36932*j**2 + 73870*j + 36936.
-2*(j - 18468)*(j + 1)**2
Factor 2*n**2 - 2166*n + 29932.
2*(n - 1069)*(n - 14)
Factor 4*w**3/5 - 339*w**2/5 - 3377*w - 840.
(w - 120)*(w + 35)*(4*w + 1)/5
Factor -t**3/4 + 83*t**2/2 + 262*t - 688.
-(t - 172)*(t - 2)*(t + 8)/4
Factor -3*m**2/2 - 1227*m - 68643/2.
-3*(m + 29)*(m + 789)/2
Determine y so that -2*y**2/3 + 220676*y/3 - 6087237122/3 = 0.
55169
Suppose -g**3 - 129*g**2 + 6856*g - 19380 = 0. Calculate g.
-170, 3, 38
Suppose -5*b**3/2 - 215*b**2 + 1930*b + 4700 = 0. Calculate b.
-94, -2, 10
Factor -4*w**2/3 - 5681872*w/3 - 2017729339024/3.
-4*(w + 710234)**2/3
Factor 5*w**3 + 87109*w**2 + 379390183*w - 75881521.
(w + 8711)**2*(5*w - 1)
Factor b**3/9 - 47*b**2/9 + 416*b/9 + 2480/9.
(b - 31)*(b - 20)*(b + 4)/9
Suppose 3*i**3/5 + 1917*i**2/5 + 765*i + 1911/5 = 0. Calculate i.
-637, -1
Suppose 16*h**4 + 282556*h**3 + 1248279092*h**2 + 7169324708*h + 4674955740 = 0. Calculate h.
-8827, -5, -3/4
Factor 2*i**3 + 10106*i**2 + 12761350*i - 12771458.
2*(i - 1)*(i + 2527)**2
Determine j, given that -4*j**2 - 88013*j + 242066 = 0.
-22006, 11/4
Factor 4*u**2/7 + 165496*u/7 + 1711807876/7.
4*(u + 20687)**2/7
Solve c**3/4 + 17*c**2/4 + 11*c + 7 = 0.
-14, -2, -1
Factor -465*v**2/7 - 133*v - 2/7.
-(v + 2)*(465*v + 1)/7
Factor 5*n**2 - 667640*n + 22287158480.
5*(n - 66764)**2
Factor 4*n**2 + 2158*n + 20140.
2*(n + 530)*(2*n + 19)
What is r in -2*r**3/15 - 890*r**2/3 - 2688574*r/15 - 231898526/15 = 0?
-1061, -103
Determine s so that s**3/5 - 938*s**2/5 + 22891*s/5 - 60258/5 = 0.
3, 22, 913
Factor -5*r**2 - 835*r - 27830.
-5*(r + 46)*(r + 121)
What is r in -5*r**3 + 3070*r**2 - 216645*r + 4076280 = 0?
39, 536
Factor 187*p**3/5 + 111*p**2 + 356*p/5 - 12/5.
(p + 1)*(p + 2)*(187*p - 6)/5
Factor 3*a**2 - 165*a - 2652.
3*(a - 68)*(a + 13)
Factor 5*h**4 + 2270455*h**3 + 257747160120*h**2 - 257749430580*h.
5*h*(h - 1)*(h + 227046)**2
Factor 3*u**3 - 3087*u**2 - 3108*u + 18540.
3*(u - 1030)*(u - 2)*(u + 3)
Let -2*k**2/3 - 160528*k/3 - 3221154848/3 = 0. What is k?
-40132
Factor -3*u**3 - 312*u**2 + 333*u + 1890.
-3*(u - 3)*(u + 2)*(u + 105)
Let 5*o**4 - 435*o**3 - 124625*o**2 + 758955*o - 1143900 = 0. What is o?
-124, 3, 205
Let 4*i**5 - 1816*i**4 + 3616*i**3 + 8*i**2 - 3620*i + 1808 = 0. Calculate i.
-1, 1, 452
Factor -5*w**2 - 50305*w + 302010.
-5*(w - 6)*(w + 10067)
Determine s so that -s**4/9 - 923*s**3/9 + s**2/9 + 923*s/9 = 0.
-923, -1, 0, 1
Factor -2*w**3/5 - 38*w**2/5 + 844*w/5 - 528.
-2*(w - 10)*(w - 4)*(w + 33)/5
What is x in 4*x**5 - 892*x**4 + 9416*x**3 - 18416*x**2 - 51168*x + 61056 = 0?
-2, 1, 6, 212
Factor -4*u**2 + 16160*u + 80900.
-4*(u - 4045)*(u + 5)
Find r such that -14*r**4 + 2082*r**3 - 73436*r**2 - 177672*r - 44720 = 0.
-2, -2/7, 65, 86
Factor j**3/2 - 13103*j**2/2 + 78591*j/2 - 117873/2.
(j - 13097)*(j - 3)**2/2
Factor 2*f**3/15 - 130*f**2/3 - 2656*f/15 + 2632/5.
2*(f - 329)*(f - 2)*(f + 6)/15
Factor -4*i**4 - 49940*i**3 - 209099616*i**2 - 298816272128*i - 21791759976448.
-4*(i + 77)*(i + 4136)**3
Solve 6*g**5/7 + 450*g**4/7 - 29718*g**3/7 + 433446*g**2/7 - 198864*g + 182952 = 0.
-121, 2, 21
Determine w so that 2*w**5 + 150*w**4/7 + 530*w**3/7 + 690*w**2/7 + 176*w/7 - 120/7 = 0.
-5, -3, -2, -1, 2/7
Factor 2*u**3 - 218*u**2 - 450*u + 666.
2*(u - 111)*(u - 1)*(u + 3)
Factor -3*i**2/5 + 5853*i + 175698/5.
-3*(i - 9761)*(i + 6)/5
Factor 2*c**2 - 544*c - 84040.
2*(c - 382)*(c + 110)
Determine c, given that -2*c**3 + 35508*c**2 - 35502*c - 71012 = 0.
-1, 2, 17753
Factor -3*x**2/8 - 132837*x/8 + 16605.
-3*(x - 1)*(x + 44280)/8
Find y such that y**4/8 + 12*y**3 - 161*y**2 - 3120*y - 10494 = 0.
-106, -6, 22
Determine w, given that 5*w**3 + 13095*w**2 + 8567400*w - 8580500 = 0.
-1310, 1
Suppose -2*r**2/11 - 45264*r/11 = 0. Calculate r.
-22632, 0
Suppose -12*j**4/11 - 1462*j**3/11 + 4720*j**2/11 - 3746*j/11 + 500/11 = 0. What is j?
-125, 1/6, 1, 2
Suppose -2*i**2/11 + 6062*i/11 + 1068132/11 = 0. Calculate i.
-167, 3198
What is s in s**3/7 + 520*s**2 + 473200*s = 0?
-1820, 0
Let f**5 - 47*f**4 - 379*f**3 + 47*f**2 + 378*f = 0. Calculate f.
-7, -1, 0, 1, 54
Factor -3*r**4 + 1752*r**3 + 77112*r**2 - 195511968*r + 28709921232.
-3*(r - 306)**3*(r + 334)
Determine b, given that -b**3/5 + 1881*b**2/5 - 1177359*b/5 + 49037035 = 0.
575, 653
Factor -3*d**3 + 771*d**2 + 6387*d - 7155.
-3*(d - 265)*(d - 1)*(d + 9)
Factor -s**3 - 910*s**2 - 186592*s + 9516192.
-(s - 42)*(s + 476)**2
Let h**3/3 - 275*h**2/3 - 2548*h/3 - 2272/3 = 0. Calculate h.
-8, -1, 284
Let -x**5 - 388*x**4/3 - 15643*x**3/3 - 61286*x**2 + 585340*x/3 - 303800/3 = 0. Calculate x.
-62, -35, 2/3, 2
Factor -2*t**5 - 82*t**4 + 546*t**3 - 846*t**2.
-2*t**2*(t - 3)**2*(t + 47)
Solve u**4 - 166093*u**3 - u**2 + 166093*u = 0.
-1, 0, 1, 166093
Factor h**2 + 115*h + 1050.
(h + 10)*(h + 105)
Determine u so that u**2/4 - 1198401*u/2 + 1436164956801/4 = 0.
1198401
Factor k**3 - 273*k**2 - 3969*k - 14063.
(k - 287)*(k + 7)**2
Determine o, given that -5*o**4 + 145955*o**3 - 437835*o**2 + 437825*o - 145940 = 0.
1, 29188
What is i in 3*i**3/7 - 59595*i**2/7 + 178764*i/7 - 119172/7 = 0?
1, 2, 19862
Factor -u**2/6 + 45686*u/3 - 30457/2.
-(u - 91371)*(u - 1)/6
Factor 2*o**2/13 - 14306*o/13 - 14308/13.
2*(o - 7154)*(o + 1)/13
Determine h, given that -2*h**3/11 + 118*h**2/11 + 1380*h/11 = 0.
-10, 0, 69
Factor 2*r**3/7 + 7109*r**2/7 + 3554*r/7.
r*(r + 3554)*(2*r + 1)/7
Factor 5*m**3/4 - 15*m**2/2 - 20*m.
5*m*(m - 8)*(m + 2)/4
Solve -3*k**3 - 51*k**2 - 162*k + 216 = 0 for k.
-12, -6, 1
Factor -4*k**2 + 2005472*k - 251369871424.
-4*(k - 250684)**2
Let -2*u**5/5 + 2*u**4 + 434*u**3/5 + 734*u**2/5 - 2064*u/5 - 2376/5 = 0. What is u?
-11, -3, -1, 2, 18
Factor 5*q**3/2 + 780*q**2 - 1595*q/2 - 4695.
5*(q - 3)*(q + 2)*(q + 313)/2
Find y, given that -4*y**5 - 51388*y**4 + 154188*y**3 - 154196*y**2 + 51400*y = 0.
-12850, 0, 1
Solve 3*d**2/4 + 987*d/2 + 9795/4 = 0.
-653, -5
Find m such that -m**4/4 + 25*m**3/4 + 6535*m**2/4 - 19765*m/4 + 6603/2 = 0.
-71, 1, 2, 93
Factor -80*j**2 + 18605*j - 18525.
-5*(j - 1)*(16*j - 3705)
Find p, given that -p**4/2 + 265*p**3/2 - 8103*p**2 - 34018*p - 34556 = 0.
-2, 106, 163
Factor h**3/4 - 565*h**2/2 - h/4 + 565/2.
(h - 1130)*(h - 1)*(h + 1)/4
Factor -2*q**3/3 - 766970*q**2/3 - 24510252032*q - 24509996376.
-2*(q + 1)*(q + 191742)**2/3
Factor -2*n**2 + 9740*n - 11858450.
-2*(n - 2435)**2
Suppose -2*g**4/7 + 70782*g**3/7 - 636924*g**2/7 + 242624*g - 1132224/7 = 0.