4 = 0.
-1, 673
Determine y so that 3*y**2 + 1773*y - 3558 = 0.
-593, 2
Determine d so that -3*d**4/5 + 8601*d**3 - 154097646*d**2/5 - 30879744*d + 924844032/5 = 0.
-3, 2, 7168
Solve 3*d**3 - 1752*d**2 + 86019*d - 84270 = 0.
1, 53, 530
Factor 2*d**2/11 + 2814*d/11 + 2812/11.
2*(d + 1)*(d + 1406)/11
Find g such that 24*g**3 - 1484*g**2 - 10204*g + 9520 = 0.
-7, 5/6, 68
Factor 5*f**3 + 12155*f**2 + 24295*f + 12145.
5*(f + 1)**2*(f + 2429)
Find v, given that -3*v**5/2 - 13035*v**4/2 + 169827*v**3/2 - 588405*v**2/2 - 163050*v + 1634250 = 0.
-4358, -2, 5
Let -32*n**5/3 - 56*n**4/3 + 44*n**3 + 164*n**2/3 - 160*n/3 - 16 = 0. What is n?
-2, -1/4, 1, 3/2
Factor -2015*f**3 - 2030*f**2 + 4015*f + 30.
-5*(f - 1)*(f + 2)*(403*f + 3)
Factor 5*d**2 - 194045.
5*(d - 197)*(d + 197)
Factor 4*w**3/3 - 416*w**2/3 + 2064*w.
4*w*(w - 86)*(w - 18)/3
Factor 2*p**4 - 424960*p**3 + 22575150044*p**2 - 135439426560*p + 203153403042.
2*(p - 106237)**2*(p - 3)**2
Suppose 2*b**5 + 114*b**4 - 1230*b**3 - 2794*b**2 - 1452*b = 0. Calculate b.
-66, -1, 0, 11
Find i, given that -4*i**4 + 51056*i**3 - 162766420*i**2 - 978437400*i = 0.
-6, 0, 6385
Factor 2*z**3/13 + 4890*z**2/13 - 9786*z/13 + 4894/13.
2*(z - 1)**2*(z + 2447)/13
Find k, given that k**2/3 - 425*k + 10136/3 = 0.
8, 1267
Factor 2*i**4 + 34*i**3 + 64*i**2 - 280*i.
2*i*(i - 2)*(i + 5)*(i + 14)
Determine n, given that 555*n**5 + 4210*n**4 - 13295*n**3 + 1790*n**2 + 7340*n - 600 = 0.
-10, -2/3, 3/37, 1, 2
Factor 5*v**5 - 25*v**4 - 105*v**3 - 115*v**2 - 40*v.
5*v*(v - 8)*(v + 1)**3
Let -2*m**5/17 + 158*m**4/17 - 188*m**3 + 2884*m**2/17 + 3198*m/17 - 3042/17 = 0. Calculate m.
-1, 1, 39
Determine j, given that -12*j**4 + 543741*j**3 - 6159396096*j**2 - 1539883008*j = 0.
-1/4, 0, 22656
Determine p so that 5*p**5 + 1085*p**4 + 1065*p**3 - 3265*p**2 - 5410*p - 2160 = 0.
-216, -1, 2
Factor -2*p**5/7 - 24*p**4/7 + 506*p**3/7.
-2*p**3*(p - 11)*(p + 23)/7
Let -3*u**4/5 + 138*u**3 + 6453*u**2/5 = 0. Calculate u.
-9, 0, 239
Solve z**5 - 2055*z**4 + 1054727*z**3 + 1058839*z**2 - 1054728*z - 1056784 = 0.
-1, 1, 1028
Solve x**3/7 + 608*x**2/7 + 13115*x - 186050/7 = 0 for x.
-305, 2
Suppose -h**4 - 5*h**3 + 523*h**2 + 2645*h + 3174 = 0. Calculate h.
-23, -3, -2, 23
What is t in -5*t**2/2 - 430*t + 6510 = 0?
-186, 14
Factor 5*h**3/2 + 9475*h**2/2 - 389865*h.
5*h*(h - 79)*(h + 1974)/2
Find n, given that -360*n**5 - 366*n**4 + 320*n**3 + 817*n**2/2 + 35*n - 75/2 = 0.
-5/6, -3/5, 1/4, 1
Factor -t**2 + 4047*t - 164246.
-(t - 4006)*(t - 41)
Find m, given that 3*m**3/4 + 30117*m**2/2 = 0.
-20078, 0
Factor q**3 + 55*q**2 + 943*q + 4761.
(q + 9)*(q + 23)**2
Suppose -65*c**5 + 860*c**4 - 3400*c**3 + 3550*c**2 + 3465*c - 4410 = 0. Calculate c.
-1, 1, 3, 42/13, 7
Factor 2*m**2 + 18692*m + 410256.
2*(m + 22)*(m + 9324)
Let 2*q**4/9 - 18*q**3 + 476*q**2/3 + 7720*q/9 + 2800/3 = 0. Calculate q.
-2, 15, 70
Factor g**2 + 2122308*g + 1126047811716.
(g + 1061154)**2
Suppose -2*u**5/7 + 1082*u**4/7 + 3172*u**3 + 132036*u**2/7 + 201798*u/7 + 90882/7 = 0. Calculate u.
-9, -1, 561
Factor -5*f**2 - 1115*f + 130900.
-5*(f - 85)*(f + 308)
Factor -f**3/9 + 29759*f**2/9 - 221414399*f/9 + 221384641/9.
-(f - 14879)**2*(f - 1)/9
Find x, given that -4*x**3 + 396*x**2 - 4200*x - 23392 = 0.
-4, 17, 86
Factor -5*f**3 + 995*f**2 + 20105*f - 124775.
-5*(f - 217)*(f - 5)*(f + 23)
Solve -2*f**4/7 - 82*f**3/7 + 5966*f**2/7 + 32002*f/7 - 5412 = 0 for f.
-77, -6, 1, 41
Factor p**3/4 - 2697*p**2/4 - 16209*p/4 - 24327/4.
(p - 2703)*(p + 3)**2/4
Solve -x**3/2 - 3349*x**2/2 - 2802275*x/2 + 2805625/2 = 0 for x.
-1675, 1
Factor 5*c**2 - 12525*c - 201680.
5*(c - 2521)*(c + 16)
Find z, given that -4*z**4 - 12336*z**3 - 12328*z**2 + 12336*z + 12332 = 0.
-3083, -1, 1
Let -2*o**3/5 - 588*o**2/5 + 1962*o - 6820 = 0. What is o?
-310, 5, 11
What is o in -36*o**2/7 + 38756*o/7 + 17232/7 = 0?
-4/9, 1077
Factor -2*q**3 + 192*q**2 - 4402*q + 11532.
-2*(q - 62)*(q - 31)*(q - 3)
Find q, given that -q**2 - 66*q + 2160 = 0.
-90, 24
Factor -5*p**2 - 515960*p - 13310736080.
-5*(p + 51596)**2
Factor 5*q**4 - 820*q**3 + 23920*q**2 + 846400*q.
5*q*(q - 92)**2*(q + 20)
Suppose -2*b**2/3 - 1042*b + 50528/3 = 0. Calculate b.
-1579, 16
Factor -4*x**2 - 327864*x.
-4*x*(x + 81966)
Factor h**4/3 - 54*h**3 + 1267*h**2 + 234460*h/3 + 288800.
(h - 95)**2*(h + 4)*(h + 24)/3
What is w in 62*w**3/7 + 274*w**2/7 - 48*w = 0?
-168/31, 0, 1
Determine i, given that -2*i**5/5 - 26*i**4 - 496*i**3/5 - 488*i**2/5 = 0.
-61, -2, 0
Factor -z**4 + 18896*z**3 + 56695*z**2 + 37798*z.
-z*(z - 18899)*(z + 1)*(z + 2)
Suppose 185*p**4 + 27300*p**3 - 185*p**2 - 27300*p = 0. What is p?
-5460/37, -1, 0, 1
Let -4*h**3/3 + 472*h**2 - 468*h - 2824/3 = 0. What is h?
-1, 2, 353
Solve 2*f**2/13 + 268*f/13 + 5106/13 = 0.
-111, -23
Let 2*a**3/15 - 724*a**2/15 + 9920*a/3 + 608000/3 = 0. What is a?
-38, 200
Suppose 20*r**3 + 444*r**2 - 20576*r + 73920 = 0. What is r?
-231/5, 4, 20
Determine r so that -8450*r**2 + 35360*r - 36992 = 0.
136/65
Find f, given that 3*f**4/4 - 369*f**3/4 - 282*f**2 - 189*f = 0.
-2, -1, 0, 126
Suppose -4*j**3 - 12180*j**2 + 61000*j = 0. What is j?
-3050, 0, 5
Factor -3*s**4/8 - 339*s**3/4 - 1683*s**2.
-3*s**2*(s + 22)*(s + 204)/8
What is u in -u**2/2 + 5359*u + 10719/2 = 0?
-1, 10719
Find w, given that 4*w**5/9 + 13664*w**4/9 - 18256*w**3/3 - 164032*w**2/9 + 438016*w/9 + 97280 = 0.
-3420, -2, 4
Let -28*q**3 + 3256*q**2 + 30572*q - 9000 = 0. What is q?
-9, 2/7, 125
Solve 2*j**2/5 + 242*j/5 + 5808/5 = 0.
-88, -33
Solve -h**5/2 + 2*h**4 + 1301*h**3/2 - 13816*h**2 + 73600*h + 88064 = 0.
-43, -1, 16
Factor 768*r**2 - 2689632*r + 2354856867.
3*(16*r - 28017)**2
Factor 4*p**3 - 8220*p**2 + 1621692*p - 84310436.
4*(p - 1841)*(p - 107)**2
Factor -5*q**3 - 6055*q**2 - 30170*q - 24120.
-5*(q + 1)*(q + 4)*(q + 1206)
Factor -m**5 + m**4 + 42*m**3 + 32*m**2 - 224*m.
-m*(m - 7)*(m - 2)*(m + 4)**2
Let 3*f**5 + 1983*f**4 + 5889*f**3 - 21723*f**2 - 5892*f + 19740 = 0. Calculate f.
-658, -5, -1, 1, 2
Solve 2571*d**3 - 4423*d**2 + 1944*d - 92 = 0 for d.
46/857, 2/3, 1
Factor -2*g**2/7 + 754*g/7 + 5160.
-2*(g - 420)*(g + 43)/7
Factor 4*y**3/5 - 292*y**2/5 + 288*y/5.
4*y*(y - 72)*(y - 1)/5
Factor 5*m**2 - 6930*m + 27640.
5*(m - 1382)*(m - 4)
What is w in -324*w**4 - 104508*w**3 + 257096*w**2 - 98768*w + 10400 = 0?
-325, 2/9, 2
Determine x, given that -3*x**2 + 696*x - 40068 = 0.
106, 126
Solve 4*r**4/9 - 734*r**3/9 + 4190*r**2/3 - 6618*r + 2970 = 0 for r.
1/2, 9, 165
Factor -2*t**2/5 - 2704*t/5 + 2706/5.
-2*(t - 1)*(t + 1353)/5
Determine v so that 4*v**4/7 - 50*v**3/7 - 144*v**2 - 2250*v/7 - 1296/7 = 0.
-9, -3/2, -1, 24
Solve -2*n**3/5 + 3622*n**2/5 - 25268*n/5 + 21648/5 = 0.
1, 6, 1804
Solve h**2/7 + 10*h/7 - 39/7 = 0 for h.
-13, 3
Find u, given that 49*u**3/3 - 13202*u**2/9 + 100256*u/3 - 21632 = 0.
2/3, 312/7
Suppose 3*w**2/2 - 63723*w + 1353540243/2 = 0. What is w?
21241
What is w in -6*w**4/11 + 111840*w**3/11 - 447294*w**2/11 + 559092*w/11 - 223632/11 = 0?
1, 2, 18636
Determine g, given that -8*g**3 - 54*g**2 + 6378*g + 11284 = 0.
-31, -7/4, 26
Factor -4*n**2 + 186424*n - 2172119236.
-4*(n - 23303)**2
Factor 2*n**3/3 - 1748*n**2/3 + 5230*n/3 - 3484/3.
2*(n - 871)*(n - 2)*(n - 1)/3
Suppose 4*z**5 - 32*z**4 - 1940*z**3 - 5520*z**2 + 69696*z - 62208 = 0. What is z?
-12, 1, 4, 27
Solve 2*v**5/5 - 94*v**4/5 + 1042*v**3/5 + 94*v**2/5 - 1044*v/5 = 0.
-1, 0, 1, 18, 29
Determine v so that -4*v**3 + 24*v**2 + 36*v - 56 = 0.
-2, 1, 7
Factor 2*d**4 + 3068*d**3 + 1245026*d**2 + 52499616*d + 585641088.
2*(d + 23)**2*(d + 744)**2
Factor -7*x**3 + 18503*x**2 + 13258*x - 100472.
-(x - 2644)*(x - 2)*(7*x + 19)
What is k in -21*k**3 - 258*k**2 + 645*k + 5850 = 0?
-13, -30/7, 5
Suppose -u**3 + 45*u**2 + 358*u + 312 = 0. Calculate u.
-6, -1, 52
Factor 12*b**3 - 861*b**2 + 7836*b + 2013.
3*(b - 61)*(b - 11)*(4*b + 1)
Factor f**3 + 598*f**2/3 + 788*f/3 - 264.
(f + 2)*(f + 198)*(3*f - 2)/3
Solve 2*g**4/7 - 2724*g**3/7 + 13582*g**2/7 - 16284*g/7 = 0.
0, 2, 3, 1357
Suppose 3*d**2 - 1119*d + 2226 = 0. What is d?
2, 371
Factor -4*v**3/5 - 57176*v**2/5 - 22868*v - 57168/5.
-4*(v + 1)**2*(v + 14292)/5
Determine a, given that 5*a**2 - 12865*a + 38550 = 0.
3, 2570
Solve -4*j**4 + 168*j**3 - 800*j**2 - 2304*j = 0.
-2, 0, 8, 36
Find u, given that 4*u**5 - 44*u**4 - 4*u