for c.
-1906, 5
Determine n, given that 5*n**4 + 505*n**3 + 8365*n**2 - 198205*n + 792330 = 0.
-66, -49, 7
Factor x**4 + 4082*x**3 + 214212*x**2 + 2718846*x - 2937141.
(x - 1)*(x + 27)**2*(x + 4029)
Find b such that 4*b**3/7 + 7684*b**2/7 = 0.
-1921, 0
Suppose -3*a**2/2 + 19866*a + 39738 = 0. What is a?
-2, 13246
Factor -w**2/3 + 529*w/3 - 15260.
-(w - 420)*(w - 109)/3
Find x, given that -2*x**3 - 6208*x**2 + 49760*x - 99584 = 0.
-3112, 4
What is c in -38*c**5/9 + 1334*c**4/9 + 422*c**3/3 - 1478*c**2/9 - 1228*c/9 + 16 = 0?
-1, 2/19, 1, 36
What is g in -108*g**4 - 21306*g**3 + 42693*g**2/4 - 1335*g = 0?
-1780/9, 0, 1/4
Factor c**3/5 - 1781*c**2/5 + 7112*c/5 - 7108/5.
(c - 1777)*(c - 2)**2/5
Factor 15*z**2/7 + 7263*z/7 + 1452/7.
3*(z + 484)*(5*z + 1)/7
Determine d so that 639*d**2 - 1911*d - 18 = 0.
-2/213, 3
Solve 2*m**2/7 - 4184*m/7 + 164160/7 = 0.
40, 2052
Determine n so that -27*n**5/4 - 2763*n**4/2 + 10383*n**3 - 23442*n**2 + 19056*n - 5088 = 0.
-212, 2/3, 2, 4
Factor -31723*h**2/4 + 31721*h/2 + 2.
-(h - 2)*(31723*h + 4)/4
Let s**3/9 + 49433*s**2/3 + 98863*s + 148293 = 0. What is s?
-148293, -3
Let -35*n**5 + 40450*n**4 - 190145*n**3 + 264790*n**2 - 69020*n - 46040 = 0. Calculate n.
-2/7, 1, 2, 1151
What is p in -2*p**3/3 + 4870*p**2/3 + 4876*p/3 - 3248 = 0?
-2, 1, 2436
Solve -k**4/7 + 2411*k**3/7 - 1452012*k**2/7 - 1483380*k/7 + 17453232/7 = 0 for k.
-4, 3, 1206
Find y, given that -3*y**2 - 4794438*y - 1915552977987 = 0.
-799073
Solve 150*d**3 + 19690*d**2 + 745706*d + 6258070 = 0 for d.
-299/5, -35/3
Solve 20*p**3 - 3355*p**2 - 6950*p + 27160 = 0 for p.
-4, 2, 679/4
Suppose 27*v**4/2 - 153*v**3 - 89781*v**2/2 + 60042*v - 20034 = 0. Calculate v.
-53, 2/3, 63
Let -3*b**3/4 - 72147*b**2/4 - 433585377*b/4 + 2169730935/4 = 0. Calculate b.
-12027, 5
What is o in -3*o**4 - 483*o**3 - 2799*o**2 - 1365*o + 4650 = 0?
-155, -5, -2, 1
Factor 50*r**2/7 + 511646*r/7 - 40932/7.
2*(r + 10233)*(25*r - 2)/7
Let 2*w**3 + 542*w**2 + 37520*w + 107736 = 0. Calculate w.
-134, -3
Find f such that -2*f**4 - 6686*f**3/5 + 29646*f**2/5 + 22862*f/5 - 2692 = 0.
-673, -1, 2/5, 5
Find m, given that -850*m**4 + 6805*m**3 - 11090*m**2 + 5165*m - 30 = 0.
1/170, 1, 6
Find r such that -2*r**2/7 + 13774*r/7 + 428916/7 = 0.
-31, 6918
Factor -z**2/3 + 409*z + 4924/3.
-(z - 1231)*(z + 4)/3
Factor -64*a**3 - 8180448*a**2 + 4090236*a - 511280.
-4*(a + 127820)*(4*a - 1)**2
Factor q**2/6 - 589*q/6 - 296.
(q - 592)*(q + 3)/6
Factor -3*b**2 + 756*b - 47628.
-3*(b - 126)**2
Factor -g**3/6 - 239*g**2/6 - 12875*g/6 + 171875/6.
-(g - 11)*(g + 125)**2/6
Factor -2*s**2/3 + 610*s - 111384.
-2*(s - 663)*(s - 252)/3
What is o in -3*o**3/7 - 69*o**2 + 2472*o/7 - 2988/7 = 0?
-166, 2, 3
Factor 2*d**2/7 + 2104*d/7 - 19098/7.
2*(d - 9)*(d + 1061)/7
Solve x**3/4 + 73939*x**2/2 - 147881*x + 147882 = 0.
-147882, 2
What is x in -3*x**2/7 - 193953*x/7 + 27708 = 0?
-64652, 1
Let -2*q**5/21 - 6*q**4/7 + 2*q**3/3 + 38*q**2/7 - 36*q/7 = 0. Calculate q.
-9, -3, 0, 1, 2
Factor w**3 + 286*w**2 - 5151*w.
w*(w - 17)*(w + 303)
Factor z**3 + 568*z**2 + 71461*z - 2682030.
(z - 30)*(z + 299)**2
Find p such that -22*p**5/7 - 260*p**4/7 + 114*p**3/7 + 736*p**2/7 - 664*p/7 + 96/7 = 0.
-12, -2, 2/11, 1
What is f in 2*f**4/7 + 29224*f**3/7 + 106726042*f**2/7 - 213568996*f/7 = 0?
-7307, 0, 2
What is p in 5*p**2 + 33090*p = 0?
-6618, 0
Factor k**4/8 - 6333*k**3/4 + 40119553*k**2/8 - 10025139*k + 5011778.
(k - 6332)**2*(k - 1)**2/8
Factor n**3 - 139*n**2 + 1426*n - 2304.
(n - 128)*(n - 9)*(n - 2)
Suppose 2*h**4/9 + 400*h**3/3 + 7138*h**2/9 + 660*h = 0. Calculate h.
-594, -5, -1, 0
Factor 3*a**4 + 14307*a**3 + 17050365*a**2 - 17064675*a.
3*a*(a - 1)*(a + 2385)**2
Let 12*w**3 + 3832*w**2 + 304640*w - 204800 = 0. Calculate w.
-160, 2/3
Solve 3*g**5/5 + 2520*g**4 + 13242531*g**3/5 + 26182998*g**2/5 - 264045804*g/5 + 317217672/5 = 0 for g.
-2099, -6, 2
Suppose -40*r**4/7 - 21834*r**3/7 + 13042*r**2 - 3372*r/7 - 39600/7 = 0. What is r?
-550, -3/5, 3/4, 4
Factor 3*b**2 - 669*b + 31878.
3*(b - 154)*(b - 69)
What is w in -w**4/6 - 2769*w**3 - 11075*w**2/2 - 8306*w/3 = 0?
-16612, -1, 0
Factor 2*f**3/19 - 6898*f**2/19 + 6992670*f/19 - 1713883950/19.
2*(f - 1545)**2*(f - 359)/19
Factor -20*o**3 + 8145*o**2 - 369750*o + 4465625.
-5*(o - 25)**2*(4*o - 1429)
Factor -2*t**3/3 + 2050*t**2/3 + 33184*t/3 + 44416.
-2*(t - 1041)*(t + 8)**2/3
Let -4*g**5 + 600*g**4 + 6404*g**3 - 600*g**2 - 6400*g = 0. What is g?
-10, -1, 0, 1, 160
Factor -2*w**4 + 314*w**3 - 16432*w**2 + 286624*w.
-2*w*(w - 53)*(w - 52)**2
Find g, given that -g**3/7 - 1625*g**2 + 22753*g/7 - 11377/7 = 0.
-11377, 1
Factor 4*t**3 - 18748*t**2.
4*t**2*(t - 4687)
Let -s**4/8 - 24*s**3 - 1575*s**2/2 - 8816*s - 29568 = 0. Calculate s.
-154, -16, -6
Factor -2*t**2 + 37436*t - 486330.
-2*(t - 18705)*(t - 13)
Let -3*s**5/8 - 15*s**4 - 1443*s**3/8 - 1617*s**2/4 + 2712*s - 2112 = 0. Calculate s.
-16, -11, 1, 2
Find o such that -4*o**2/3 - 1572*o + 43416 = 0.
-1206, 27
Solve 2*t**2/3 - 13814*t/3 - 27652 = 0 for t.
-6, 6913
Solve -y**4/10 - 15139*y**3/10 - 15133*y**2/10 + 75687*y/10 - 22707/5 = 0.
-15138, -3, 1
Determine g so that -g**3/4 - 181*g**2/2 + 1469*g/4 + 915/2 = 0.
-366, -1, 5
Let -4*w**2 - 4221168*w - 1113641205264 = 0. Calculate w.
-527646
Let -5*q**4 - 12460*q**3 - 124185*q**2 - 211010*q - 99280 = 0. What is q?
-2482, -8, -1
Factor -108*m**3 - 15080*m**2 - 523600*m + 196000.
-4*(m + 70)**2*(27*m - 10)
Factor 2*r**2/15 + 224*r/15 - 152/5.
2*(r - 2)*(r + 114)/15
Find q, given that 4*q**2 - 452*q - 14456 = 0.
-26, 139
Factor 2*w**3 + 1859598*w**2 + 432262160400*w - 432264020000.
2*(w - 1)*(w + 464900)**2
Find v, given that 3*v**2/5 + 84*v/5 + 513/5 = 0.
-19, -9
Factor -f**3/4 - 761*f**2/2 + 143055*f/4 - 816075.
-(f - 45)**2*(f + 1612)/4
Let 4*g**3 + 696*g**2 + 7820*g + 7128 = 0. Calculate g.
-162, -11, -1
Factor -i**3 + 1176*i**2 - 348084*i + 1373584.
-(i - 586)**2*(i - 4)
Factor -3*d**3 + 46515*d**2 - 92994*d - 372072.
-3*(d - 15503)*(d - 4)*(d + 2)
Suppose 4*g**4 - 6132*g**3 - 43096*g**2 - 36960*g = 0. Calculate g.
-6, -1, 0, 1540
Factor -4*r**5/5 + 64*r**4/5 - 112*r**3/5.
-4*r**3*(r - 14)*(r - 2)/5
Factor -s**2/3 + 4840*s + 14521/3.
-(s - 14521)*(s + 1)/3
Factor -2*v**3 + 2876*v**2.
-2*v**2*(v - 1438)
Factor -o**2 + 3413*o + 44538.
-(o - 3426)*(o + 13)
What is r in 3*r**2/5 + 26043*r/5 - 26058 = 0?
-8686, 5
Factor n**2 + 7231*n + 7230.
(n + 1)*(n + 7230)
Let -3*x**4 + 609*x**3 - 22299*x**2 + 205275*x + 504666 = 0. Calculate x.
-2, 23, 159
Factor 4*r**2/9 - 406*r - 20218/9.
2*(r - 919)*(2*r + 11)/9
Factor p**4/4 + 205*p**3 + 409*p**2.
p**2*(p + 2)*(p + 818)/4
Determine f, given that 3*f**3 + 381*f**2 - 774*f = 0.
-129, 0, 2
Factor 3*d**3 - 76785*d**2 + 491366409*d - 491289627.
3*(d - 12797)**2*(d - 1)
Determine j, given that -4*j**5 - 28*j**4 + 380*j**3 - 292*j**2 - 1816*j - 1120 = 0.
-14, -1, 4, 5
Solve 12*j**2 + 89764*j - 59848 = 0.
-7481, 2/3
Factor -i**3/2 - 673*i**2/2 - 11871*i/2 - 53055/2.
-(i + 9)**2*(i + 655)/2
Solve -2*s**3/9 - 254*s**2/9 + 14972*s/3 + 20400 = 0.
-225, -4, 102
Factor -2*o**2/17 + 618*o/17 + 5800.
-2*(o - 425)*(o + 116)/17
Factor -i**4 + 245*i**3 - 483*i**2 - 729*i.
-i*(i - 243)*(i - 3)*(i + 1)
Suppose 3*t**5 - 2940*t**4 + 2937*t**3 = 0. What is t?
0, 1, 979
What is j in 4*j**3/9 + 142316*j**2/9 = 0?
-35579, 0
Factor 5*l**2/2 - 64295*l/2 + 64285.
5*(l - 12857)*(l - 2)/2
Find i, given that i**2/3 + 10038*i + 75571083 = 0.
-15057
Factor -3*g**4 + 264*g**3 - 4965*g**2 + 22848*g.
-3*g*(g - 64)*(g - 17)*(g - 7)
Factor l**3/4 - 374*l**2 - 7501*l/4 - 1501.
(l - 1501)*(l + 1)*(l + 4)/4
What is v in -2*v**2/7 - 1406*v/7 - 29964/7 = 0?
-681, -22
Determine i so that 2*i**3/23 + 74*i**2/23 - 8508*i/23 + 16704/23 = 0.
-87, 2, 48
Determine l so that -l**2/4 + 14495*l/2 + 14496 = 0.
-2, 28992
Solve p**4/2 - 186*p**3 + 2361*p**2 - 9910*p + 26925/2 = 0 for p.
3, 5, 359
Solve -y**3/3 + 133*y**2/3 - 44*y = 0 for y.
0, 1, 132
Factor 2*w**3/3 + 34*w**2/3 - 5248*w/3 - 1760.
2*(w - 44)*(w + 1)*(w + 60)/3
Determine p so that p**2 - 620*p - 14124 = 0.
-22, 642
Factor -4*b**2/7 + 10484*b/7 + 31488/7.
-4*(b - 2624)*(b + 3)/7
Factor -4*u**2 - 59104*u - 295420.
-4*(u + 5)*(u + 14771)
Solve -63*t**3 + 6483*t**2 - 57972*t - 5580 = 0 for t.
-2/21, 10, 93
Factor 2*g**3 + 354*g**2 +