 8)*(g + 752)/2
Determine b, given that 20*b**4 + 184*b**3/3 + 4*b**2 = 0.
-3, -1/15, 0
Factor -2*g**3/3 + 400*g**2/9 + 322*g/3.
-2*g*(g - 69)*(3*g + 7)/9
Factor n**2 - 515076*n + 66325821444.
(n - 257538)**2
Factor 4*r**2 + 104592*r + 683717904.
4*(r + 13074)**2
Determine n so that -128*n**3/7 - 86*n**2 - 360*n/7 = 0.
-4, -45/64, 0
Let -h**4 - 616*h**3 - 10163*h**2 + 12016*h + 21564 = 0. Calculate h.
-599, -18, -1, 2
Factor -4*f**2 + 59712*f - 179100.
-4*(f - 14925)*(f - 3)
Factor -2*s**3 - 245252*s**2 - 980984*s - 980976.
-2*(s + 2)**2*(s + 122622)
Suppose 5*x**2 + 9085*x + 72360 = 0. Calculate x.
-1809, -8
Factor 5*r**3 + 1238740*r**2 + 2477465*r + 1238730.
5*(r + 1)**2*(r + 247746)
Factor -3*m**3 - 4797*m**2 - 28674*m.
-3*m*(m + 6)*(m + 1593)
Let -2*w**4/7 + 458*w**3/7 - 30564*w**2/7 + 70720*w - 302848 = 0. What is w?
7, 14, 104
Factor -28*s**3 - 4488*s**2 - 179472*s - 50912.
-4*(s + 74)*(s + 86)*(7*s + 2)
Find n, given that n**4/4 - 57*n**3/2 - n**2/4 + 57*n/2 = 0.
-1, 0, 1, 114
Factor 4*a**2 - 1691848*a + 178896853444.
4*(a - 211481)**2
Factor -2*b**2/7 + 248*b/7 + 870.
-2*(b - 145)*(b + 21)/7
Solve 2*l**2/9 + 188*l/9 + 62/3 = 0.
-93, -1
Factor 2*a**2/9 + 143254*a/9 - 143260/3.
2*(a - 3)*(a + 71630)/9
Find o, given that -17*o**2 - 3283*o - 386 = 0.
-193, -2/17
Find y such that y**2/8 + 17985*y/4 - 107919/8 = 0.
-35973, 3
Suppose -v**3/9 - 65*v**2/9 + 133*v/9 - 67/9 = 0. What is v?
-67, 1
Let -551*l**3/2 + 1825*l**2/6 - 88*l/3 + 2/3 = 0. What is l?
2/57, 2/29, 1
What is c in 7*c**3 + 2155*c**2 - 18004*c + 2528 = 0?
-316, 1/7, 8
Factor -4*b**2 - 19748*b - 157728.
-4*(b + 8)*(b + 4929)
Determine g so that 2*g**4/21 - 400*g**3/21 + 74*g**2 + 2764*g/21 - 560/3 = 0.
-2, 1, 5, 196
Factor 3*r**2/2 + 8907*r - 17817/2.
3*(r - 1)*(r + 5939)/2
Suppose -4*f**4/9 - 76*f**3/3 - 2348*f**2/9 + 5980*f/3 = 0. What is f?
-39, -23, 0, 5
Determine h, given that -2*h**4/7 + 148*h**3/7 - 3784*h**2/7 + 37232*h/7 - 97344/7 = 0.
4, 18, 26
Factor -y**2 + 317056*y - 25131126784.
-(y - 158528)**2
Determine i, given that -15*i**2 + 21081*i - 8430 = 0.
2/5, 1405
Suppose 5*b**5 - 570*b**4 + 19500*b**3 - 175000*b**2 = 0. What is b?
0, 14, 50
Determine q so that -2*q**4 - 149560*q**3 - 2796173756*q**2 - 5591898840*q - 2795874642 = 0.
-37389, -1
Factor 3*a**3 + 150*a**2 + 675*a.
3*a*(a + 5)*(a + 45)
Solve 2*l**3 - 392*l**2 + 1472*l + 12288 = 0.
-4, 8, 192
Determine w, given that -3*w**3 - 267*w**2 - 3030*w - 5016 = 0.
-76, -11, -2
Find h, given that -2*h**2/7 + 48*h + 2520 = 0.
-42, 210
What is q in -2*q**5/9 - 17606*q**4/9 - 274738*q**3/3 - 10070458*q**2/9 - 9263848*q/9 = 0?
-8756, -23, -1, 0
Let -5*v**4 + 245*v**3 - 1335*v**2 + 1955*v - 860 = 0. Calculate v.
1, 4, 43
Find r, given that -3*r**4/2 - 129*r**3 + 1110*r**2 - 1692*r = 0.
-94, 0, 2, 6
Solve 4*p**4 + 4644*p**3 - 108840*p**2 + 104192*p = 0.
-1184, 0, 1, 22
Suppose -4*u**2/5 - 83796*u/5 = 0. What is u?
-20949, 0
Determine k so that -k**5 + 72*k**4 - 950*k**3 + 808*k**2 + 951*k - 880 = 0.
-1, 1, 16, 55
Factor -2*j**2/11 - 818*j/11 + 18060/11.
-2*(j - 21)*(j + 430)/11
Solve -3*r**3 - 6066*r**2 - 3166884*r - 100779672 = 0 for r.
-994, -34
Factor -2*h**2/7 - 4204*h/7 + 97750/7.
-2*(h - 23)*(h + 2125)/7
Let -35*z**4 - 15130*z**3 - 718740*z**2 - 204120*z = 0. Calculate z.
-378, -54, -2/7, 0
Find z, given that z**3/2 - 5441*z**2/2 + 7398399*z/2 + 7403841/2 = 0.
-1, 2721
Factor -2*b**2/7 + 292*b/7 + 42.
-2*(b - 147)*(b + 1)/7
What is c in -3*c**3 + 43071*c**2 - 154527960*c - 463971600 = 0?
-3, 7180
Find y, given that -10*y**3/9 + 123244*y**2/9 - 16432*y/3 = 0.
0, 2/5, 12324
Factor -w**3/3 + 596*w**2/3 - 13201*w/3 + 4202.
-(w - 573)*(w - 22)*(w - 1)/3
Let -34*y**2/5 + 212164*y/5 - 4992 = 0. What is y?
2/17, 6240
Let v**4/6 - 2587*v**3/6 - 5177*v**2/6 - 863*v/2 = 0. What is v?
-1, 0, 2589
Factor -m**4/2 - 17*m**3 - 181*m**2/2 + 108*m.
-m*(m - 1)*(m + 8)*(m + 27)/2
Determine a, given that -6*a**2/11 - 972*a/11 - 33600/11 = 0.
-112, -50
Factor 105*b**2 - 102801*b + 5874.
3*(b - 979)*(35*b - 2)
Suppose -2*u**5/9 + 208*u**4/9 - 3854*u**3/9 - 30392*u**2/3 + 33640*u = 0. Calculate u.
-15, 0, 3, 58
Suppose -2*g**4/7 + 326*g**3/7 + 9264*g**2/7 + 3640*g + 16544/7 = 0. Calculate g.
-22, -2, -1, 188
Factor 470450*h**2/21 - 225040*h/21 + 26912/21.
2*(485*h - 116)**2/21
Find x, given that 9*x**5 + 18543*x**4 - 161181*x**3 + 415677*x**2 - 397188*x + 124140 = 0.
-2069, 2/3, 1, 2, 5
Factor 4*j**4 + 196*j**3 + 1956*j**2 + 6860*j + 7400.
4*(j + 2)*(j + 5)**2*(j + 37)
Suppose h**4/5 - 423*h**3/5 + 422*h**2/5 = 0. Calculate h.
0, 1, 422
Solve -f**3 - 461*f**2 + 32365*f - 31903 = 0.
-523, 1, 61
Factor 4*s**3 - 188*s**2 + 2088*s.
4*s*(s - 29)*(s - 18)
Suppose n**3/8 + 34*n**2 - 823*n/8 + 275/4 = 0. Calculate n.
-275, 1, 2
Suppose -3*a**3 - 348*a**2 - 8100*a + 118800 = 0. What is a?
-66, -60, 10
Solve 2*j**2/9 + 4*j/3 - 16 = 0.
-12, 6
Factor 2*h**2 - 584*h + 19734.
2*(h - 253)*(h - 39)
Factor n**2/7 - 87370*n + 13358654575.
(n - 305795)**2/7
Factor -2*c**3/9 - 43*c**2/3 - 484*c/9.
-c*(c + 4)*(2*c + 121)/9
Determine c so that -39*c**5 - 627*c**4/2 - 636*c**3 - 24*c**2 = 0.
-4, -1/26, 0
Factor 3*p**4/4 + 477*p**3/4 - 483*p**2/2.
3*p**2*(p - 2)*(p + 161)/4
Factor -4*h**2 + 2280*h + 69484.
-4*(h - 599)*(h + 29)
Determine j, given that -2*j**5/13 - 902*j**4/13 - 8878*j**3/13 - 25594*j**2/13 - 6960*j/13 + 42336/13 = 0.
-441, -4, -3, 1
Determine q, given that -18*q**5/5 + 2668*q**4/5 - 3202*q**3/5 - 4712*q**2/5 + 1176*q/5 = 0.
-1, 0, 2/9, 2, 147
Factor 2*q**3/13 - 2224*q**2/13 + 62814*q/13.
2*q*(q - 1083)*(q - 29)/13
Determine r, given that 2*r**4/13 + 4868*r**3/13 + 58224*r**2/13 + 232640*r/13 + 310016/13 = 0.
-2422, -4
Let 5*o**4 + 380*o**3 + 8640*o**2 + 40960*o - 327680 = 0. What is o?
-32, -16, 4
Find r such that r**3 + 43*r**2 - 178*r - 1840 = 0.
-46, -5, 8
Factor -a**3/4 - 165*a**2/4 - 2403*a/2 - 2240.
-(a + 2)*(a + 35)*(a + 128)/4
What is b in -18*b**4/17 - 393898*b**3/17 - 2154786172*b**2/17 + 1676270632*b/17 + 478909456/17 = 0?
-10942, -2/9, 1
Let 2*i**2/3 - 1132*i/3 + 1126 = 0. What is i?
3, 563
Solve -4*k**4 + 157324*k**3 - 2062465188*k**2 + 9010909986820*k + 18030071093048 = 0 for k.
-2, 13111
Factor -363*z**3 - 696465*z**2 + 253296*z - 23028.
-3*(z + 1919)*(11*z - 2)**2
Solve 460*i**4/3 + 34*i**3 - 818*i**2 - 3374*i/3 - 426 = 0 for i.
-1, 639/230
Solve w**5 + 694*w**4 - 13*w**3 - 9010*w**2 + 8328*w = 0 for w.
-694, -4, 0, 1, 3
Factor 4*n**3/7 - 4630*n**2/7 + 2314*n/7.
2*n*(n - 1157)*(2*n - 1)/7
Suppose 2*j**3 - 180*j**2 - 366*j - 184 = 0. What is j?
-1, 92
Suppose 2*q**5 + 106*q**4/5 + 30*q**3 + 54*q**2/5 = 0. What is q?
-9, -1, -3/5, 0
Suppose 3*x**4/8 + 375*x**3/4 - 4011*x**2 - 33207*x/4 - 33579/8 = 0. Calculate x.
-287, -1, 39
Suppose 8*d**5 - 98*d**4 + 256*d**3 + 278*d**2 - 84*d = 0. Calculate d.
-1, 0, 1/4, 6, 7
Let t**2/3 - 869582*t/3 + 189043213681/3 = 0. Calculate t.
434791
Determine k so that 3*k**5 - 141*k**4 + 951*k**3 + 16845*k**2 + 15750*k = 0.
-7, -1, 0, 25, 30
Factor -u**3/3 + 11671*u**2/3 + 446747*u + 12763155.
-(u - 11785)*(u + 57)**2/3
Factor s**3/4 + 2105*s**2/4 + 1476475*s/4 + 345076875/4.
(s + 675)*(s + 715)**2/4
Determine x, given that -x**2 - 7*x + 368 = 0.
-23, 16
What is w in -2*w**2/7 + 5400*w/7 - 424278/7 = 0?
81, 2619
Factor -5*n**2 + 1548820*n - 119942169620.
-5*(n - 154882)**2
Solve f**2/3 + 92*f + 275/3 = 0.
-275, -1
Suppose p**2/8 - 497*p/8 = 0. Calculate p.
0, 497
Factor -2*l**2/3 + 10732*l/3 - 14396978/3.
-2*(l - 2683)**2/3
Solve -2*s**3 - 32*s**2 + 1554*s = 0.
-37, 0, 21
Factor -g**3/7 - 76*g**2/7 - 1373*g/7 - 350.
-(g + 2)*(g + 25)*(g + 49)/7
Suppose v**5/5 + 1024*v**4/5 + 260072*v**3/5 - 213824*v**2 - 3170352*v/5 = 0. Calculate v.
-514, -2, 0, 6
Factor -3*h**2/4 - 38001*h - 481358667.
-3*(h + 25334)**2/4
Find u such that -3*u**4/2 - 463*u**3/4 - 109*u**2/2 + 929*u/4 + 345/2 = 0.
-230/3, -1, 3/2
Factor 4*z**2 - 58664*z - 587040.
4*(z - 14676)*(z + 10)
Find x such that -x**2/2 - 476*x + 20433/2 = 0.
-973, 21
Solve c**3/2 + 124*c**2 - 758*c + 1016 = 0 for c.
-254, 2, 4
Solve 3*q**2/7 - 327*q/7 - 91008/7 = 0.
-128, 237
Factor d**2 + 217*d + 4116.
(d + 21)*(d + 196)
Solve -5*u**5 + 1875*u**4 - 180415*u**3 + 870445*u**2 - 1376400*u + 684500 = 0.
1, 2, 185
Factor -3*k**4 + 37302*k**3 + 149244*k**2 + 149256