/3, 3, 8, 17
Let -n**2/4 + 771*n + 40261/4 = 0. Calculate n.
-13, 3097
Factor -5*k**3 - 265*k**2 + 890*k + 2800.
-5*(k - 5)*(k + 2)*(k + 56)
Solve 4*x**5 + 140*x**4 + 936*x**3 = 0 for x.
-26, -9, 0
Factor -32*f**4 + 64272*f**3 - 32352818*f**2 + 80581020*f - 50300450.
-2*(f - 1003)**2*(4*f - 5)**2
Factor 5*o**4 + 4840*o**3 - 34045*o**2 + 77940*o - 58500.
5*(o - 3)*(o - 2)**2*(o + 975)
Find o, given that -o**2 - 3676*o + 92525 = 0.
-3701, 25
Suppose -f**3/4 + 5657*f**2/4 + f/4 - 5657/4 = 0. What is f?
-1, 1, 5657
Factor 2*f**4 + 2306*f**3 + 6906*f**2 + 6902*f + 2300.
2*(f + 1)**3*(f + 1150)
Factor z**3/3 + 2627*z**2/3 + 663537*z + 111281499.
(z + 233)*(z + 1197)**2/3
Factor -q**2 + 155*q + 8514.
-(q - 198)*(q + 43)
Factor 5*n**2/2 + 37325*n - 223995/2.
5*(n - 3)*(n + 14933)/2
Let 5*y**2 + 46370*y + 107508845 = 0. Calculate y.
-4637
Factor -3*p**3/2 - 56214*p**2 - 526781376*p - 2106226176.
-3*(p + 4)*(p + 18736)**2/2
Factor p**3/6 - 109*p**2/6 - 74707*p/3 + 49876.
(p - 444)*(p - 2)*(p + 337)/6
Suppose 5*j**2/6 - 205*j/6 - 885 = 0. Calculate j.
-18, 59
Suppose -3*z**5 - 111*z**4 + 507*z**3 + 5079*z**2 - 30960*z + 43200 = 0. Calculate z.
-40, -8, 3, 5
Solve 4*m**5 + 468*m**4 + 13740*m**3 + 9100*m**2 - 123984*m - 119808 = 0.
-64, -52, -3, -1, 3
Let -155*a**5 + 795*a**4 + 10130*a**3 + 3640*a**2 - 55200*a + 7040 = 0. Calculate a.
-4, 4/31, 2, 11
Solve a**3/6 + 1253*a**2/3 + 404345*a/6 + 8438800/3 = 0 for a.
-2336, -85
Suppose 4*o**5 + 14960*o**4 - 14964*o**3 = 0. What is o?
-3741, 0, 1
Suppose -2*y**2 + 1210*y - 105000 = 0. Calculate y.
105, 500
What is b in 6*b**5/7 - 86*b**4/7 - 102*b**3/7 + 3662*b**2/7 - 1104*b/7 - 2376/7 = 0?
-6, -2/3, 1, 9, 11
Factor 5*f**3 + 11730*f**2 - 105975*f.
5*f*(f - 9)*(f + 2355)
Determine u, given that 7*u**4/3 - 127*u**3 - 6893*u**2 + 42473*u/3 - 7140 = 0.
-35, 1, 612/7
Factor -m**3/5 - 24*m**2/5 + 397*m/5 + 84.
-(m - 12)*(m + 1)*(m + 35)/5
Determine o, given that -8*o**4 + 1292*o**3 - 640*o**2 - 644*o = 0.
-1/2, 0, 1, 161
Suppose -2*r**3 - 2724*r**2 + 13662*r - 10936 = 0. What is r?
-1367, 1, 4
Suppose f**5/2 - 5*f**4 + 7*f**3 + 44*f**2 - 183*f/2 + 45 = 0. What is f?
-3, 1, 5, 6
Factor -3*s**3/2 + 1098*s**2 - 177174*s - 8939760.
-3*(s - 386)**2*(s + 40)/2
Factor -3*z**2 + 806364*z - 54185241708.
-3*(z - 134394)**2
Factor -3*j**3/5 + 1419*j**2/5 + 2592*j + 26028/5.
-3*(j - 482)*(j + 3)*(j + 6)/5
Solve 4*g**2 - 230136*g + 3310161156 = 0.
28767
Factor t**3/8 - 5045*t**2/4 + 100825*t/8 - 31500.
(t - 10080)*(t - 5)**2/8
Solve 2*t**2/9 - 1328*t/3 - 117218/9 = 0.
-29, 2021
Determine j, given that 3*j**3 + 342*j**2 + 2265*j + 1926 = 0.
-107, -6, -1
Suppose 2*n**3 + 244*n**2 - 3486*n + 3240 = 0. What is n?
-135, 1, 12
Factor 2*f**3/13 - 576*f**2/13 + 42600*f/13 - 161312/13.
2*(f - 142)**2*(f - 4)/13
Factor 2*b**2/3 - 5960924*b/3 + 4441576866722/3.
2*(b - 1490231)**2/3
Factor 3*y**3/7 + 36891*y**2/7 + 368685*y/7 + 921525/7.
3*(y + 5)**2*(y + 12287)/7
Solve -16*x**3/7 + 2148*x**2/7 + 544*x = 0.
-7/4, 0, 136
Solve 3*i**2/4 - 3549*i - 14199/4 = 0.
-1, 4733
Factor 5*m**5/3 - 1730*m**4/3 + 3445*m**3/3 - 1720*m**2/3.
5*m**2*(m - 344)*(m - 1)**2/3
Factor -4*g**3 - 356*g**2 - 6652*g - 6300.
-4*(g + 1)*(g + 25)*(g + 63)
Solve 16*u**4 - 36*u**3 - 1016*u**2 + 2304*u - 512 = 0.
-8, 1/4, 2, 8
What is t in -5*t**2 + 560390*t - 15701847605 = 0?
56039
Factor 2*y**2/9 + 52108*y/9 + 52106/9.
2*(y + 1)*(y + 26053)/9
Factor 4*f**3 - 344*f**2 - 356*f + 696.
4*(f - 87)*(f - 1)*(f + 2)
Determine o, given that -o**5/4 + 21*o**4 - 1825*o**3/4 + 873*o**2/2 + 7913*o + 10086 = 0.
-2, 6, 41
Suppose -4*u**5/3 + 16*u**4 + 80*u**3 - 968*u**2/3 + 348*u - 120 = 0. What is u?
-6, 1, 15
Solve 2*s**4 - 566*s**3 - 29520*s**2 = 0 for s.
-45, 0, 328
Solve -5*a**2 + 16085*a + 1386420 = 0 for a.
-84, 3301
Suppose -25*a**5/4 - 117735*a**4/4 - 141233*a**3/2 - 108267*a**2/2 - 56485*a/4 - 4707/4 = 0. What is a?
-4707, -1, -1/5
Solve 18*a**4/5 - 1108*a**3/5 + 4634*a**2/5 + 456*a = 0.
-4/9, 0, 5, 57
What is y in 14*y**4/3 + 32*y**3/3 - 286*y**2/3 + 56*y + 24 = 0?
-6, -2/7, 1, 3
Factor 3*m**2/2 - 659748*m + 72544570584.
3*(m - 219916)**2/2
What is f in -3*f**3 - 27768*f**2 + 111135*f + 138900 = 0?
-9260, -1, 5
Suppose 9*t**5/5 - 5488*t**4/5 + 464593*t**3/5 + 113384174*t**2/5 + 3857031084*t/5 + 851523912/5 = 0. Calculate t.
-57, -2/9, 362
Factor -386*k**2 + 198*k + 188.
-2*(k - 1)*(193*k + 94)
Determine z, given that 14*z**5 - 4042*z**4 - 9598*z**3 + 83394*z**2 - 48816*z - 20952 = 0.
-6, -2/7, 1, 3, 291
Factor 2*a**4 + 12*a**3 + 45*a**2/2 + 29*a/2 + 3.
(a + 2)*(a + 3)*(2*a + 1)**2/2
Find c such that -10*c**3 - 4352*c**2/3 - 8870*c/3 - 572/3 = 0.
-143, -2, -1/15
Factor 8*i**4 - 107982*i**3 + 364365012*i**2 + 91098002*i.
2*i*(i - 6749)**2*(4*i + 1)
Factor -2*j**3/5 + 16*j**2 + 1338*j/5 - 936.
-2*(j - 52)*(j - 3)*(j + 15)/5
Factor -4*n**2 - 139364*n + 836328.
-4*(n - 6)*(n + 34847)
Solve -2*r**2 + 9878*r - 206556 = 0.
21, 4918
Factor 14*p**2 + 761324*p + 217520.
2*(p + 54380)*(7*p + 2)
Suppose -3*s**5 - 4311*s**4 - 17190*s**3 + 8634*s**2 + 51561*s - 38691 = 0. What is s?
-1433, -3, 1
Let -d**3/4 + 14023*d**2/4 - 48971275*d/4 - 1332466875/4 = 0. What is d?
-27, 7025
Find z such that -3*z**5 + 1872*z**4 + 1914*z**3 - 24300*z**2 - 46839*z - 22500 = 0.
-3, -1, 4, 625
Determine w, given that -5*w**2 + 85770*w - 171520 = 0.
2, 17152
Let r**2/7 + 19*r/7 - 20/7 = 0. What is r?
-20, 1
Determine f, given that -f**5/4 - 815*f**4/2 - 667473*f**3/4 - 660969*f**2 = 0.
-813, -4, 0
Find p, given that -3*p**2 + 2487*p + 85338 = 0.
-33, 862
Solve -2*x**5/7 - 954*x**4/7 - 168988*x**3/7 - 13275112*x**2/7 - 412197936*x/7 - 327230144 = 0.
-134, -68, -7
Find f, given that 3*f**2 - 64866*f - 259512 = 0.
-4, 21626
Suppose -6*x**5 + 1402*x**4 - 76988*x**3 - 617456*x**2 + 4247040*x - 2534400 = 0. What is x?
-11, 2/3, 4, 120
Let 3*g**2/2 + 91386*g + 1391900166 = 0. What is g?
-30462
Factor -2*m**3 - 9092*m**2 + 18190*m - 9096.
-2*(m - 1)**2*(m + 4548)
What is n in 702244*n**2/5 - 186036*n/5 + 12321/5 = 0?
111/838
Factor 925*f**2 - 2060*f - 2985.
5*(f + 1)*(185*f - 597)
Let 3*b**3/4 - 156*b**2 - 9957*b/4 - 8697/2 = 0. Calculate b.
-13, -2, 223
Factor -4*d**2 + 1833768*d - 210169067364.
-4*(d - 229221)**2
Suppose -2*m**3/5 - 114*m**2 + 97442*m/5 + 19602 = 0. Calculate m.
-405, -1, 121
Factor -2*y**3 - 4386*y**2 - 95524*y.
-2*y*(y + 22)*(y + 2171)
Factor 25*w**2 - 119210*w + 47680.
5*(w - 4768)*(5*w - 2)
Solve 5*y**3 + 3380*y**2 + 40020*y + 119520 = 0.
-664, -6
Determine k, given that 2*k**4/3 + 190*k**3/3 - 26188*k**2/3 + 200536*k + 209328 = 0.
-178, -1, 42
What is c in -10*c**5 + 2226*c**4 - 14128*c**3 - 27768*c**2 + 25856*c + 13824 = 0?
-2, -2/5, 1, 8, 216
Factor 2*g**2/15 - 480616*g/3 + 144369837160/3.
2*(g - 600770)**2/15
Factor -2*s**2/7 + 24510*s/7 - 24508/7.
-2*(s - 12254)*(s - 1)/7
Solve 21*d**5/2 - 11535*d**4/2 + 139353*d**3/2 - 434073*d**2/2 + 191781*d - 38664 = 0 for d.
2/7, 1, 3, 8, 537
Factor -3*z**4 - 18*z**3 - 24*z**2.
-3*z**2*(z + 2)*(z + 4)
Solve x**4/2 - 91*x**3/2 - 477*x**2/2 + 143451*x/2 - 71442 = 0 for x.
-36, 1, 63
Solve -v**4/6 - 9*v**3/2 - 47*v**2/6 + 1105*v/2 + 3300 = 0 for v.
-15, -8, 11
Factor q**4 - 55*q**3 + 537*q**2 - 913*q + 430.
(q - 43)*(q - 10)*(q - 1)**2
Let 2*f**4/3 + 130*f**3/3 + 608*f**2/3 + 160*f = 0. What is f?
-60, -4, -1, 0
Suppose 23*y**3/8 + 2759*y**2/8 - 4377*y/2 + 189/2 = 0. What is y?
-126, 1/23, 6
Determine n so that n**4/3 + 13646*n**3/3 + 9096*n**2 = 0.
-13644, -2, 0
Factor 4*z**2 - 2176*z + 10780.
4*(z - 539)*(z - 5)
Factor 15*p**2/4 + 2403*p + 1920.
3*(p + 640)*(5*p + 4)/4
Let -a**2/6 + 35053*a/2 + 52580/3 = 0. Calculate a.
-1, 105160
Solve -2*x**2/3 - 1016*x/3 + 19822 = 0.
-561, 53
Factor 14*t**2/5 + 11*t/2 - 195/2.
(t - 5)*(28*t + 195)/10
Factor -5*p**3 + 1195*p**2 - 55990*p - 452200.
-5*(p - 170)*(p - 76)*(p + 7)
Let 3*q**4/4 - 183*q**3/4 + 357*q**2/4 - 177*q/4 = 0. What is q?
0, 1, 59
Determine t, given that t**2 + 2353*t + 7050 = 0.
-2350, -3
Determine p, given that p**3/4 + 247*p**2 - 991*p + 992 = 0.
-992, 2
Determine k, given that -5*k**5 + 500*k**4 + 3695*k**3 + 5350*k**2 = 0.
-5, -2, 0, 107
Let -6*r**2/5 + 1043524*r/5 + 347842/5 = 0. Calculate r.
-1/3, 173921
Factor 25*x**2 + 79880*x + 79855.
5*(x + 1)*(5*x + 15971)
Let -2*f**4 - 406*f**3 + 388