*4/8 - 2*k**3 + 4011*k**2/4 - 29093*k - 240781/8 = 0.
-109, -1, 47
Factor -3*q**3/7 - 900*q**2 + 6321*q.
-3*q*(q - 7)*(q + 2107)/7
Factor -3*p**2 - 944910*p - 74404575675.
-3*(p + 157485)**2
Factor -2*z**2 + 46798*z + 46800.
-2*(z - 23400)*(z + 1)
Find m such that -m**4/2 - 195*m**3 - 1549*m**2/2 - 966*m - 386 = 0.
-386, -2, -1
Let -5*p**2 + 17665*p - 70580 = 0. Calculate p.
4, 3529
Factor -d**2/6 - 689*d/6 - 2013.
-(d + 18)*(d + 671)/6
Let -2*i**2/5 + 11370*i - 113692/5 = 0. What is i?
2, 28423
Factor -h**2 + 29048*h - 210946576.
-(h - 14524)**2
Factor 2*z**4 + 204*z**3 + 3022*z**2 + 11220*z.
2*z*(z + 6)*(z + 11)*(z + 85)
Factor -b**2/4 - 259*b/4 + 1485/2.
-(b - 11)*(b + 270)/4
Determine v so that -2*v**3/5 + 3912*v**2 + 156576*v/5 + 313216/5 = 0.
-4, 9788
Find b, given that -3*b**4 + 1767*b**3 - 15732*b**2 + 41808*b - 27840 = 0.
1, 4, 580
Factor 3*i**2 - 54990*i + 549600.
3*(i - 18320)*(i - 10)
Factor w**2/2 + 619*w/2 - 310.
(w - 1)*(w + 620)/2
Let 4*l**2 + 6656*l - 40080 = 0. What is l?
-1670, 6
Suppose -6*f**5/5 + 118*f**4/3 + 26708*f**3/5 - 226088*f**2/15 + 36368*f/5 + 12096/5 = 0. Calculate f.
-54, -2/9, 1, 2, 84
Factor b**2/3 + 3335*b + 10002.
(b + 3)*(b + 10002)/3
Factor d**2 + 564*d + 1683.
(d + 3)*(d + 561)
Factor 18*w**3 + 12718290*w**2 + 8478854*w + 1413142.
2*(w + 706571)*(3*w + 1)**2
Factor m**2/3 + 50152*m/3 + 628805776/3.
(m + 25076)**2/3
Factor 3*a**3 + 419*a**2/2 - 507*a/2 - 355.
(a - 2)*(a + 71)*(6*a + 5)/2
Find v, given that -3*v**2 + 25768*v - 8589 = 0.
1/3, 8589
Factor -3*s**3/8 + 1437*s**2/8 - 197757*s/8 + 5899203/8.
-3*(s - 219)**2*(s - 41)/8
Let 2*a**4/5 + 1644*a**3/5 + 72242*a**2 + 9454896*a/5 + 9095328/5 = 0. Calculate a.
-396, -29, -1
Factor 24*q**2 + 4388*q + 32900.
4*(q + 175)*(6*q + 47)
Let -5*h**3 - 374330*h**2 + 748675*h - 374340 = 0. What is h?
-74868, 1
Factor -w**4 + 356*w**3 - 34062*w**2 + 420660*w - 964953.
-(w - 171)**2*(w - 11)*(w - 3)
Factor 2*m**2 - 80810*m + 80808.
2*(m - 40404)*(m - 1)
Factor -2*t**3/9 - 1604*t**2/9 - 12950*t/3.
-2*t*(t + 25)*(t + 777)/9
Solve -15166*d**2 - 45486*d + 36 = 0 for d.
-3, 6/7583
Determine k so that k**4/4 + 1881*k**3/8 - 949*k**2/8 - 1881*k/2 + 941/2 = 0.
-941, -2, 1/2, 2
Factor 2*m**3 + 12*m**2 - 278*m + 672.
2*(m - 7)*(m - 3)*(m + 16)
Factor 5*c**3 - 745*c**2 - 7220*c + 17380.
5*(c - 158)*(c - 2)*(c + 11)
Solve 228*o**3 - 1324232*o**2 + 1922819712*o - 67465728 = 0.
2/57, 2904
Factor -99*z**2 - 169*z/4 + 105/2.
-(11*z - 6)*(36*z + 35)/4
Suppose -8*f**4 - 106*f**3 - 88*f**2 + 1126*f - 924 = 0. Calculate f.
-11, -21/4, 1, 2
Factor -2*l**3/3 - 58*l**2/3 + 152*l + 2112.
-2*(l - 12)*(l + 8)*(l + 33)/3
Find k such that -k**2 + 2786350*k - 1940936580625 = 0.
1393175
Solve 2*d**3/9 - 2446*d**2/9 + 4886*d/9 - 814/3 = 0 for d.
1, 1221
Factor y**2 + 1850562*y + 856144928961.
(y + 925281)**2
Determine h so that -3*h**5/4 + 477*h**4/4 - 5847*h**3/4 + 22527*h**2/4 - 13797*h/2 = 0.
0, 3, 7, 146
Find y, given that 2*y**5/19 - 268*y**4/19 - 824*y**3/19 + 268*y**2/19 + 822*y/19 = 0.
-3, -1, 0, 1, 137
Factor 3*j**2/2 - 2676*j - 26835/2.
3*(j - 1789)*(j + 5)/2
Let n**4/7 - 3840*n**3/7 - 7684*n**2/7 = 0. What is n?
-2, 0, 3842
Factor -d**5/3 + 8*d**4/3 - 16*d**3/3.
-d**3*(d - 4)**2/3
Factor -j**2/2 - 611*j/2 - 4179.
-(j + 14)*(j + 597)/2
Find p such that -5*p**3 - 610280*p**2 - 18622694185*p - 37242947290 = 0.
-61027, -2
Determine r so that r**3/8 + 325*r**2/8 - 2657*r/8 + 2331/8 = 0.
-333, 1, 7
Determine s so that 7*s**5/2 - 93*s**4/2 - 862*s**3 + 4254*s**2 - 1144*s = 0.
-13, 0, 2/7, 4, 22
Factor 108*k**3 - 5188*k**2 - 5100*k + 196.
4*(k - 49)*(k + 1)*(27*k - 1)
Factor -2*y**4 + 2002*y**3 + 6018*y**2 + 6022*y + 2008.
-2*(y - 1004)*(y + 1)**3
Solve -2*y**3 + 140*y**2 + 2256*y + 8064 = 0.
-8, -6, 84
Solve -2*c**5/11 - 181844*c**4/11 - 363678*c**3/11 + 181844*c**2/11 + 363680*c/11 = 0 for c.
-90920, -2, -1, 0, 1
Factor -3*a**2 - 249519*a + 249522.
-3*(a - 1)*(a + 83174)
Factor 4*y**2 - 130048*y + 1057030144.
4*(y - 16256)**2
Determine u, given that -28*u**4 + 4932*u**3 - 29488*u**2 + 42192*u - 5440 = 0.
1/7, 2, 4, 170
Let i**4/4 - 44*i**3 + 519*i**2/4 = 0. What is i?
0, 3, 173
Factor 3*b**3/4 + 4185*b**2/4 + 4179*b/2.
3*b*(b + 2)*(b + 1393)/4
Find p, given that -14*p**3 + 31804*p**2 - 22706*p - 9084 = 0.
-2/7, 1, 2271
Solve 7*k**2/3 - 383*k + 1142/3 = 0 for k.
1, 1142/7
Suppose -3*w**3 - 1131*w**2 - 116529*w - 1826337 = 0. Calculate w.
-179, -19
Let -4*z**3 + 1636*z**2 + 4936*z + 3296 = 0. Calculate z.
-2, -1, 412
Let -4*z**4 - 500*z**3 + 1536*z**2 - 16*z - 2048 = 0. Calculate z.
-128, -1, 2
Suppose -2*n**2/17 - 2306*n/17 - 502824/17 = 0. What is n?
-861, -292
Suppose 3*j**5 - 1212*j**4 + 1164*j**3 + 18066*j**2 + 27777*j + 12090 = 0. What is j?
-2, -1, 5, 403
Suppose -x**4/3 + 4861*x**3/3 - 30666*x**2 = 0. Calculate x.
0, 19, 4842
Let 3*s**4/4 - 6*s**3 - 117*s**2/2 + 132*s - 273/4 = 0. What is s?
-7, 1, 13
Solve z**5/7 - 48*z**4/7 + 200*z**3/7 + 650*z**2/7 - 201*z/7 - 86 = 0 for z.
-2, -1, 1, 7, 43
Let -4*r**3/7 - 3564*r**2/7 - 35144*r/7 + 84576/7 = 0. Calculate r.
-881, -12, 2
Suppose -2*z**5 + 210844*z**4 - 5556688190*z**3 - 11114430620*z**2 + 5556688192*z + 11114219776 = 0. Calculate z.
-2, -1, 1, 52712
Suppose 5*q**2 - 7015*q + 566310 = 0. What is q?
86, 1317
Find u, given that 2*u**4/3 + 74*u**3/3 - 170*u**2 + 278*u/3 + 860/3 = 0.
-43, -1, 2, 5
Let -5418405*g**2 + 5475660*g - 1383380 = 0. What is g?
526/1041
Determine v, given that -3*v**5 + 9*v**4 + 159*v**3 - 333*v**2 + 168*v = 0.
-7, 0, 1, 8
Let 4*x**2 - 15208*x - 30432 = 0. Calculate x.
-2, 3804
Factor 2*d**4/7 + 36*d**3/7 + 30*d**2 + 400*d/7.
2*d*(d + 5)**2*(d + 8)/7
Solve 3*w**2/8 + 975*w/4 - 2979 = 0 for w.
-662, 12
Factor -4*r**2 + 43800*r - 119902500.
-4*(r - 5475)**2
Determine j, given that -j**2 - 4779*j + 9562 = 0.
-4781, 2
Factor 4*u**2 + 17596*u + 105432.
4*(u + 6)*(u + 4393)
Let -2*v**3/15 - 94*v**2/5 - 816*v - 168776/15 = 0. What is v?
-73, -34
Factor -k**2/5 + 227*k/5 - 3376/5.
-(k - 211)*(k - 16)/5
Determine p so that -572*p**5 - 69792*p**4 - 2390220*p**3 - 15944168*p**2 - 29957376*p - 415872 = 0.
-57, -4, -2/143
Find c such that -c**2/3 - 452*c/3 + 151 = 0.
-453, 1
What is m in -3*m**4/5 + 6327*m**3/5 + 12669*m**2/5 - 6327*m/5 - 12666/5 = 0?
-2, -1, 1, 2111
Factor x**4/2 - 1323*x**3/2 - 12015*x**2 - 72306*x - 144828.
(x - 1341)*(x + 6)**3/2
Determine g, given that 4557*g**3/5 + 187026*g**2 + 48004044*g/5 + 3093144/5 = 0.
-718/7, -2/31
Determine k so that -4*k**3/9 - 2900*k**2/9 - 5752*k/9 + 7712/3 = 0.
-723, -4, 2
Find j, given that -2*j**3/13 - 96*j**2/13 - 1210*j/13 - 2052/13 = 0.
-27, -19, -2
Find w such that 5*w**3 - 2325*w**2 + 34030*w - 126000 = 0.
7, 8, 450
Factor 5*u**3 + 76875*u**2 + 1075390*u + 1843320.
5*(u + 2)*(u + 12)*(u + 15361)
Let -12*l**4 + 567*l**3 - 5841*l**2 - 21075*l + 5625 = 0. Calculate l.
-3, 1/4, 25
Determine k so that k**3 + 10007*k**2 + 637376*k + 10181632 = 0.
-9943, -32
Determine j so that -4*j**3 + 2004*j**2 + 4120*j - 48288 = 0.
-6, 4, 503
Factor p**2/9 + 2182*p/9 + 56056/9.
(p + 26)*(p + 2156)/9
Factor -q**3/3 - 2681*q**2 - 5392161*q - 16168441/3.
-(q + 1)*(q + 4021)**2/3
Find r such that 2*r**4/9 + 24272*r**3/9 + 73616972*r**2/9 - 49102256*r/3 + 8185058 = 0.
-6069, 1
Factor -5*q**2 - 197740*q - 1955055380.
-5*(q + 19774)**2
Factor -4*a**2/7 + 724*a - 5040.
-4*(a - 1260)*(a - 7)/7
Determine a so that -a**4/3 + 3887*a**3/3 - 1257117*a**2 - 11364635*a/3 + 15132100/3 = 0.
-4, 1, 1945
Factor -4*w**3 + 80*w**2 + 1772*w - 1848.
-4*(w - 33)*(w - 1)*(w + 14)
Find v, given that -3*v**4 - 1291*v**3 - 136501*v**2 + 514507*v - 376712 = 0.
-217, 1, 8/3
Factor x**4 - 1875*x**3 - 35986*x**2.
x**2*(x - 1894)*(x + 19)
Factor u**2 + 8432*u + 8431.
(u + 1)*(u + 8431)
Solve -9*c**5/2 + 283217*c**4/4 + 31469*c**3/2 = 0 for c.
-2/9, 0, 31469/2
Find q such that q**2/6 - 90869*q/6 = 0.
0, 90869
Find q such that -5*q**5/2 - 67*q**4/2 - 123*q**3 + 19*q**2 + 955*q/2 - 675/2 = 0.
-27/5, -5, 1
Let -40*f**5/3 + 30785*f**4/3 - 141785*f**3/3 + 199000*f**2/3 - 25500*f = 0. Calculate f.
0, 5/8, 2, 765
Factor -2*x**2/9 - 20870*x/3 + 62612/9.
-2*(x - 1)*(x + 31306)/9
Find l such that 1282*l**3/3 - 3826*l**2/3 + 2504*l/3 + 40/3 = 0.
-10/641, 1, 2
Find l such that 2*l**2 - 67572*l - 135152 = 0.
-2, 33788
Factor -16072*