.
2, 124
Determine c so that c**3/2 - 345*c**2/2 + 5643*c/2 + 79461/2 = 0.
-9, 27, 327
Determine h, given that -2430*h**4 + 91422*h**3 + 69609*h**2/2 + 3019*h + 76 = 0.
-4/15, -1/18, 38
Factor -3*a**3 + 75*a**2 + 762*a - 9360.
-3*(a - 30)*(a - 8)*(a + 13)
Find r such that -r**5/7 + 523*r**4/7 + 26655*r**3/7 + 76817*r**2/7 + 75766*r/7 + 25080/7 = 0.
-44, -1, 570
Solve -3*w**4 + 2883*w**3 + 5787*w**2 - 8667*w = 0 for w.
-3, 0, 1, 963
Find f such that f**2 + 60*f + 275 = 0.
-55, -5
Suppose 14*u**4/13 + 35312*u**3/13 + 22307048*u**2/13 + 50823360*u/13 + 12700800/13 = 0. What is u?
-1260, -2, -2/7
Let 4*t**5 - 100*t**4 + 744*t**3 - 1424*t**2 - 352*t + 1920 = 0. Calculate t.
-1, 2, 10, 12
Solve 2*n**5/3 - 6522*n**4 + 21268242*n**3 - 23118579054*n**2 = 0.
0, 3261
Determine g so that 2*g**3 + 192*g**2 - 17082*g - 71272 = 0.
-151, -4, 59
Find r such that 4*r**5/7 - 60*r**4/7 - 824*r**3/7 + 4944*r**2/7 - 1184*r + 4224/7 = 0.
-12, 1, 2, 22
Find q such that -q**3/5 + 250149*q**2/5 - 15643755624*q/5 + 15643505476/5 = 0.
1, 125074
Factor 4*x**3 + 1912*x**2 + 15104*x + 30080.
4*(x + 4)**2*(x + 470)
Factor 2*o**2/5 - 147112*o/5 + 2705242568/5.
2*(o - 36778)**2/5
Factor n**3 - 131*n**2 + 255*n + 387.
(n - 129)*(n - 3)*(n + 1)
Determine q so that 3*q**5 - 2772*q**4 - 33606*q**3 - 84156*q**2 - 78597*q - 25272 = 0.
-9, -1, 936
Solve 2715*r**2 - 2735*r + 20 = 0 for r.
4/543, 1
Factor -2*m**2/23 + 5472*m/23 + 32904/23.
-2*(m - 2742)*(m + 6)/23
Suppose 28*z**5/3 - 97805*z**4/3 + 296707*z**3/3 - 198926*z**2/3 - 13964*z/3 + 13960/3 = 0. Calculate z.
-1/4, 2/7, 1, 2, 3490
What is w in w**3/2 + 2505*w**2 + 3135006*w - 6280036 = 0?
-2506, 2
Determine h, given that -8*h**2 - 141348*h - 565264 = 0.
-35329/2, -4
Suppose 320*b**5 + 25568*b**4 + 155604*b**3 - 403236*b**2 + 298620*b - 70956 = 0. What is b?
-73, -9, 3/5, 3/4
Factor -c**3 - 74*c**2 - 145*c - 72.
-(c + 1)**2*(c + 72)
Determine a, given that -a**3 + 176*a**2 + 9461*a - 9636 = 0.
-44, 1, 219
Suppose 2*z**4 - 602*z**3 - 27374*z**2 - 227590*z - 530100 = 0. Calculate z.
-31, -5, 342
Solve 2*i**5/13 + 64*i**4/13 + 554*i**3/13 + 1132*i**2/13 - 232*i/13 - 1520/13 = 0 for i.
-19, -10, -2, 1
Factor 2*v**3 + 677*v**2/7 - 751*v + 9300/7.
(v - 4)*(v - 3)*(14*v + 775)/7
Suppose -13*b**4/7 - 3118*b**3/7 - 11831*b**2/7 - 7310*b/7 + 1416/7 = 0. What is b?
-236, -3, -1, 2/13
Determine d, given that d**4/7 - 2490*d**3/7 + 1559944*d**2/7 - 12338022*d/7 + 1540081 = 0.
1, 7, 1241
Solve z**2 - 194316*z - 194317 = 0.
-1, 194317
Find s such that 2*s**2/11 - 25064*s/11 + 6834 = 0.
3, 12529
Let -2*f**3/13 + 164*f**2/13 - 3590*f/13 + 14100/13 = 0. What is f?
5, 30, 47
Factor -2*h**2/5 - 926*h + 270408/5.
-2*(h - 57)*(h + 2372)/5
Factor g**4/12 - 26*g**3/3 + 197*g**2/3 - 484*g/3 + 128.
(g - 96)*(g - 4)*(g - 2)**2/12
Suppose -x**3/4 - 2903*x**2/2 = 0. What is x?
-5806, 0
Factor q**2/3 + 11092*q/3 + 30758116/3.
(q + 5546)**2/3
Solve 3*w**5 + 966*w**4 + 4782*w**3 + 8580*w**2 + 6663*w + 1902 = 0.
-317, -2, -1
What is v in 3*v**4/2 - 51*v**3/2 - 2805*v**2/2 + 78075*v/2 - 259875 = 0?
-35, 15, 22
Determine m so that -3*m**5 - 1623*m**4 - 7989*m**3 + 27399*m**2 + 33768*m = 0.
-536, -7, -1, 0, 3
Factor -i**2/3 + 142174*i - 15160084707.
-(i - 213261)**2/3
Let -3*u**2 + 255*u + 7062 = 0. What is u?
-22, 107
Determine k so that -234*k**5/17 - 69724*k**4/17 + 284120*k**3/17 - 292304*k**2/17 + 9664*k/17 = 0.
-302, 0, 4/117, 2
Find x, given that 2*x**3/5 + 20338*x**2/5 + 10338822*x - 10342890 = 0.
-5085, 1
Let -2*r**4 - 6102*r**3 - 4651248*r**2 + 4657352*r = 0. What is r?
-1526, 0, 1
Solve 16*d**5 - 31388*d**4 + 148824*d**3 - 180064*d**2 + 39128*d + 23484 = 0.
-1/4, 1, 3, 1957
Let 4*o**5 + 448*o**4 - 18276*o**3 + 123680*o**2 - 232000*o = 0. What is o?
-145, 0, 4, 25
Solve -33*u**3/7 - 2490*u**2 + 174372*u/7 + 32280/7 = 0 for u.
-538, -2/11, 10
Factor d**3/4 + 1807*d**2/4 + 10779*d/4 - 48627/4.
(d - 3)*(d + 9)*(d + 1801)/4
Suppose 4*r**2/3 - 484*r + 109568/3 = 0. Calculate r.
107, 256
Find o, given that o**5 - 563*o**4 + 82256*o**3 - 842332*o**2 + 598368*o + 1523520 = 0.
-1, 2, 10, 276
Determine z so that 4*z**3 + 20800*z**2 - 41612*z + 20808 = 0.
-5202, 1
Factor 4*l**3 + 5428*l**2 + 5424*l.
4*l*(l + 1)*(l + 1356)
Determine b, given that 4*b**4 - 140*b**3 - 3064*b**2 + 3200*b = 0.
-16, 0, 1, 50
Suppose 5*d**4 + 110*d**3 - 20*d**2 - 440*d = 0. What is d?
-22, -2, 0, 2
Let z**5 + 444*z**4 - 907*z**3 - 6690*z**2 = 0. Calculate z.
-446, -3, 0, 5
What is w in w**4/3 - 13586*w**3/3 + 46131257*w**2/3 + 92357636*w/3 - 46158436 = 0?
-3, 1, 6794
Find v such that -5*v**2 + 3524030*v - 620939372045 = 0.
352403
Solve -p**2 - 1518*p + 33880 = 0.
-1540, 22
Solve -s**5/3 + 100*s**4 - 2652*s**3 + 26194*s**2/3 + 8551*s - 40650 = 0 for s.
-2, 3, 25, 271
Determine y so that 2*y**4 - 3140*y**3 - 200446*y**2 - 3136704*y = 0.
-31, 0, 1632
Determine r so that -3*r**3 + 119532*r**2 - 1190538711*r - 2381555574 = 0.
-2, 19923
Find n, given that -25*n**5/3 - 2615*n**4 - 145414*n**3/3 + 11476*n**2 + 95336*n/3 + 7840 = 0.
-294, -20, -2/5, 1
Let 28425800*n**2/3 - 256360*n + 1734 = 0. Calculate n.
51/3770
Let 10*a**4/3 - 1604*a**3/3 + 19610*a**2/3 + 12992*a/3 - 2744 = 0. Calculate a.
-1, 2/5, 14, 147
Find x such that -2336*x**3/5 - 19620*x**2 - 1029672*x/5 + 5292/5 = 0.
-21, 3/584
Factor w**2/4 - 292*w + 85039.
(w - 614)*(w - 554)/4
Determine s so that -4*s**3/5 - 1208*s**2/5 + 50492*s/5 - 80784 = 0.
-340, 11, 27
Let 2*i**2/13 + 5350*i/13 - 5352/13 = 0. What is i?
-2676, 1
Solve 105*z**5 - 170980*z**4 - 620375*z**3 + 350650*z**2 + 375320*z + 65280 = 0.
-4, -1/3, -2/7, 1, 1632
Solve -21*x**2 - 108035*x/3 + 17150/3 = 0.
-1715, 10/63
Find w, given that -w**2/7 + 2301*w/7 - 6894/7 = 0.
3, 2298
Find s, given that 3*s**5/5 + 573*s**4/5 + 3918*s**3/5 + 9996*s**2/5 + 11064*s/5 + 4416/5 = 0.
-184, -2, -1
Factor -34*v**2/11 - 93400*v/11 - 5494/11.
-2*(v + 2747)*(17*v + 1)/11
Let 4*z**2 - 2652*z + 387128 = 0. What is z?
217, 446
Let 2*s**4 + 20864*s**3 + 62562*s**2 - 125164*s - 166864 = 0. What is s?
-10429, -4, -1, 2
Suppose p**2/6 + 2843*p/6 + 2837 = 0. What is p?
-2837, -6
Solve 3*h**3/5 - 201*h**2/5 + 480*h + 6720 = 0 for h.
-8, 35, 40
Factor -c**2/4 - 159*c/2 - 1490.
-(c + 20)*(c + 298)/4
Factor 2*b**2 - 21790*b - 21792.
2*(b - 10896)*(b + 1)
Solve -3*t**5/7 - 7*t**4 - 53*t**3/7 + 109*t**2/7 + 8*t - 60/7 = 0.
-15, -2, -1, 2/3, 1
Factor 2*q**4/5 + 18*q**3/5 - 98*q**2/5 + 78*q/5.
2*q*(q - 3)*(q - 1)*(q + 13)/5
Solve 2*k**3/7 + 13060*k**2/7 + 78256*k/7 - 29824 = 0.
-6524, -8, 2
Factor -98*g**4/17 - 3818*g**3/17 - 49530*g**2/17 - 213278*g/17 + 8788/17.
-2*(g + 13)**3*(49*g - 2)/17
Suppose 5*u**5/4 + 80*u**4 - 5025*u**3/4 - 170*u**2 + 16855*u + 23100 = 0. Calculate u.
-77, -2, 5, 12
Factor h**2/9 + 26*h/3 + 152/9.
(h + 2)*(h + 76)/9
Factor 2*t**3 - 2120*t**2 + 8406*t + 44352.
2*(t - 1056)*(t - 7)*(t + 3)
Suppose d**2/3 + 1479136*d/3 + 546960826624/3 = 0. What is d?
-739568
What is t in 76*t**4/13 - 12390*t**3/13 + 326*t**2/13 = 0?
0, 1/38, 163
Suppose -1214404*n**5/9 - 409393*n**4/9 + 3310859*n**3/9 - 510418*n**2/3 - 16928*n - 384 = 0. Calculate n.
-2, -24/551, 3/4, 1
Solve -5*j**2 - 3770*j - 446145 = 0.
-607, -147
Factor -u**3 - 1623*u**2 - 3243*u - 1621.
-(u + 1)**2*(u + 1621)
Factor -28*b**3 - 1520*b**2 + 41008*b + 11840.
-4*(b - 20)*(b + 74)*(7*b + 2)
Let -d**2/8 - 91*d/8 - 33 = 0. What is d?
-88, -3
Factor -5*o**3 + 1320*o**2 + 633645*o + 632320.
-5*(o - 512)*(o + 1)*(o + 247)
Suppose -2*p**4/13 + 3180*p**3/13 + 44864*p**2/13 + 76992*p/13 = 0. What is p?
-12, -2, 0, 1604
Determine k, given that 3*k**5/7 + 60*k**4/7 + 240*k**3/7 - 240*k**2/7 - 144*k = 0.
-14, -6, -2, 0, 2
Factor 5*s**5 - 145*s**4 + 1130*s**3 - 3690*s**2 + 5265*s - 2565.
5*(s - 19)*(s - 3)**3*(s - 1)
Factor -2*s**2/5 - 87948*s/5 - 966856338/5.
-2*(s + 21987)**2/5
Suppose -v**4/4 + 1299*v**3/4 - 101292*v**2 - 2731081*v - 2629464 = 0. Calculate v.
-24, -1, 662
What is d in -2*d**3 + 10540*d**2 - 94678*d - 105220 = 0?
-1, 10, 5261
Factor 578*f**2/7 - 5032*f + 76664.
2*(17*f - 518)**2/7
Let -z**3 + 311*z**2 - 6646*z + 6336 = 0. Calculate z.
1, 22, 288
Factor -3*b**2/5 + 5238*b/5 + 4200.
-3*(b - 1750)*(b + 4)/5
Factor z**3/5 - 2031*z**2 + 10154*z/5.
z*(z - 10154)*(z - 1)/5
Factor -4*u**2 - 18940*u + 706256.
-4*(u - 37)*(u + 4772)