+ 12014)**2/4
Factor 2*c**3 - 2652*c**2 + 760320*c + 81281024.
2*(c - 704)**2*(c + 82)
Factor 5*g**2 + 4000*g - 1384605.
5*(g - 261)*(g + 1061)
Solve a**2/4 - 1077*a/4 + 1075/2 = 0 for a.
2, 1075
Determine i so that -4*i**5 + 12*i**4 + 15836*i**3 + 378420*i**2 + 362600*i = 0.
-35, -1, 0, 74
Factor 6*t**2 + 31384*t + 20920.
2*(t + 5230)*(3*t + 2)
Factor -2*x**2/15 + 2012*x/5 - 1206.
-2*(x - 3015)*(x - 3)/15
Solve -2*f**5/3 + 602*f**4/3 - 2714*f**3 + 30382*f**2/3 + 12080*f/3 - 57400 = 0 for f.
-2, 5, 6, 287
Find d such that -529*d**4/2 + 3105*d**3 - 17397*d**2/2 - 2430*d - 162 = 0.
-3/23, 6
Suppose -z**3 + 37*z**2 - 136*z - 768 = 0. What is z?
-3, 8, 32
Solve 3*i**3 + 768*i**2 + 16629*i - 17400 = 0.
-232, -25, 1
Suppose -22*s**4 + 23236*s**3 - 96096*s**2 - 723904*s + 134656 = 0. Calculate s.
-4, 2/11, 8, 1052
Factor k**2/5 - 1391*k/5 - 8382/5.
(k - 1397)*(k + 6)/5
Suppose -g**3/2 + 36*g**2 - 1169*g/2 - 621 = 0. What is g?
-1, 27, 46
Suppose 5*x**5 - 24530*x**4 - 122765*x**3 - 49210*x**2 + 490980*x + 589320 = 0. Calculate x.
-3, -2, 2, 4911
Let -10*q**3 + 2078345*q**2 - 107988468060*q + 53993714445 = 0. Calculate q.
1/2, 103917
What is l in -l**2/4 + 1537*l/2 + 3075/4 = 0?
-1, 3075
Let 4*w**4 - 140*w**3 - 16536*w**2 - 245504*w + 558208 = 0. What is w?
-28, 2, 89
Factor -s**4 + 16*s**3 + 355*s**2 + 638*s.
-s*(s - 29)*(s + 2)*(s + 11)
Factor 4*o**4/3 - 149288*o**3 + 5571577440*o**2 - 69304850880408*o - 207964700869068.
4*(o - 37323)**3*(o + 3)/3
Solve 2*i**5/3 - 26*i**4/9 - 1436*i**3/9 + 4816*i**2/9 + 1280*i/3 = 0.
-15, -2/3, 0, 4, 16
Factor -4*b**3 - 166600*b**2.
-4*b**2*(b + 41650)
Factor d**3 + 1265*d**2 + 17527*d + 16263.
(d + 1)*(d + 13)*(d + 1251)
Let -2*r**5/3 + 1022*r**4/3 + 7358*r**3/3 - 55070*r**2/3 + 27996*r - 12432 = 0. Calculate r.
-12, 1, 3, 518
Solve -i**4 - 79*i**3 + 2917*i**2 - 22745*i + 51300 = 0 for i.
-108, 5, 19
Suppose -3*z**4 - 39*z**3 + 594*z**2 = 0. Calculate z.
-22, 0, 9
Let -b**5 - 95*b**4 - 1507*b**3 - 4833*b**2 - 3420*b = 0. What is b?
-76, -15, -3, -1, 0
Let -906*a**4 + 4839*a**3 - 5097*a**2 + 876*a + 288 = 0. What is a?
-24/151, 1/2, 1, 4
Find g such that -3*g**4 - 183522*g**3 - 183519*g**2 = 0.
-61173, -1, 0
Find h such that 2*h**3 - 12*h**2 - 38*h + 168 = 0.
-4, 3, 7
Factor -2*y**3 + 980*y**2 + 24626*y + 23644.
-2*(y - 514)*(y + 1)*(y + 23)
Find q such that 2*q**2/17 - 43156*q/17 - 43158/17 = 0.
-1, 21579
Factor -4*t**2/5 + 43636*t/5.
-4*t*(t - 10909)/5
Find q such that 68*q**2/7 + 25776*q/7 + 1516/7 = 0.
-379, -1/17
Find b such that -4*b**4 - 272*b**3 - 2612*b**2 - 5992*b - 3648 = 0.
-57, -8, -2, -1
Suppose 147*v**5 - 395997*v**4 - 56967*v**3 + 1059021*v**2 - 751680*v + 145476 = 0. Calculate v.
-2, 3/7, 1, 2694
Factor -2*k**2 - 224052*k - 6274912338.
-2*(k + 56013)**2
Let -2*m**4/5 + 448*m**3/5 - 21628*m**2/5 - 403648*m/5 + 84966 = 0. What is m?
-15, 1, 119
What is l in -4*l**3 + 24*l**2 + 108*l = 0?
-3, 0, 9
Let n**5/4 - 15*n**4/4 + 31*n**3/4 + 255*n**2/4 - 125*n - 375 = 0. Calculate n.
-3, -2, 5, 10
Suppose -2*w**4/9 - 92*w**3/3 - 1318*w**2/9 + 532*w/3 = 0. What is w?
-133, -6, 0, 1
Let -2*n**5/7 + 264*n**4/7 + 2522*n**3/7 + 2256*n**2/7 = 0. Calculate n.
-8, -1, 0, 141
Factor 3*j**4 + 97287*j**3 + 1051704891*j**2 + 3790694736045*j + 7577183430774.
3*(j + 2)*(j + 10809)**3
What is f in -f**2/5 + 1052*f/5 - 3111 = 0?
15, 1037
What is o in -o**4 - 316*o**3 + 3557*o**2 - 13032*o + 15696 = 0?
-327, 3, 4
What is w in -2*w**4 - 11*w**3/4 + 105*w**2/4 = 0?
-35/8, 0, 3
Factor 1429*n**2/2 - 9998*n - 70.
(n - 14)*(1429*n + 10)/2
Factor 48*l**4 + 4791240*l**3 + 119561201859*l**2 - 59781499290*l + 7472724843.
3*(l + 49909)**2*(4*l - 1)**2
Factor -s**2 - 2156*s + 4316.
-(s - 2)*(s + 2158)
Factor 4*w**3 + 31812*w**2 + 63234300*w - 63266116.
4*(w - 1)*(w + 3977)**2
Determine v so that -5*v**3 + 1220*v**2 - 18155*v - 19380 = 0.
-1, 17, 228
Factor -m**2/5 - 358*m/5 - 4997.
-(m + 95)*(m + 263)/5
Let -65*k**3 - 1895*k**2 + 5800*k - 3840 = 0. What is k?
-32, 1, 24/13
Solve -f**3/2 - 433037*f**2/2 - 866071*f/2 - 433035/2 = 0 for f.
-433035, -1
Solve n**3/5 - 9724*n**2/5 + 58317*n/5 - 87462/5 = 0.
3, 9718
Let -j**3 + 468*j**2/5 - 10837*j/5 - 882 = 0. What is j?
-2/5, 45, 49
Let 2*q**4/3 + 110*q**3 - 2142*q**2 + 9810*q - 13176 = 0. What is q?
-183, 3, 12
Factor -4*u**4/5 + 15296*u**3/5 - 14970552*u**2/5 + 664565312*u/5 - 7550567236/5.
-4*(u - 1889)**2*(u - 23)**2/5
Factor 5*h**2 - 1317580*h + 86800852820.
5*(h - 131758)**2
Suppose -2*z**2 + 206*z + 5500 = 0. What is z?
-22, 125
Factor -i**3/8 + 223*i**2/4 + i/8 - 223/4.
-(i - 446)*(i - 1)*(i + 1)/8
Solve 6*x**3/7 - 9390*x**2/7 + 617712*x/7 - 10383192/7 = 0 for x.
34, 1497
Suppose 3*c**5/7 + 1914*c**4/7 - 146913*c**3/7 - 144250524*c**2/7 + 17040101868*c/7 = 0. Calculate c.
-477, 0, 158
Determine n so that 3*n**4 + 385*n**3/3 + 625*n**2/3 - 1265*n/3 + 82 = 0.
-41, -3, 2/9, 1
Find i such that i**3/6 + 23*i**2/2 + 263*i/6 + 65/2 = 0.
-65, -3, -1
Factor -5*r**4 - 3055*r**3 - 163305*r**2 - 3034205*r - 18999430.
-5*(r + 19)**3*(r + 554)
Factor -r**5/5 + 4856*r**4/5 - 114624*r**3 + 4559360*r**2 - 60620800*r.
-r*(r - 4736)*(r - 40)**3/5
Factor 1365*k**3 + 1240*k**2 + 60*k.
5*k*(7*k + 6)*(39*k + 2)
Solve 18*s**5/5 - 30*s**4 - 1842*s**3/5 + 1926*s**2 + 12000*s - 4200 = 0 for s.
-7, -5, 1/3, 10
Factor k**4/5 + 1528*k**3/5 + 526096*k**2/5 - 8801280*k + 165888000.
(k - 36)**2*(k + 800)**2/5
Suppose -3*n**5 - 105*n**4 + 1020*n**3 - 660*n**2 - 6192*n = 0. What is n?
-43, -2, 0, 4, 6
Find v such that 2*v**4/17 - 7810*v**3/17 - 62582*v**2/17 - 101726*v/17 - 46956/17 = 0.
-6, -1, 3913
Factor -i**2/6 + 439819*i/3 - 193440752761/6.
-(i - 439819)**2/6
Factor -2*y**2/5 + 23154*y/5 + 92648/5.
-2*(y - 11581)*(y + 4)/5
Determine b so that 1369*b**3/2 + 58275*b**2 + 1179984*b - 2598544 = 0.
-1612/37, 2
Let 3*v**3/4 - 150945*v**2/2 - 603789*v/4 - 75474 = 0. What is v?
-1, 100632
Solve -5*q**3 - 15250*q**2 - 12143500*q - 777035000 = 0.
-1490, -70
Factor 2*j**2/7 + 260044*j/7 + 8452860242/7.
2*(j + 65011)**2/7
Factor -6*d**2/5 - 8247*d - 20616/5.
-3*(d + 6872)*(2*d + 1)/5
Solve -w**2/4 - 87*w/2 + 3667/4 = 0.
-193, 19
Solve m**5/2 - 375*m**4/4 + 368*m**3 - 363*m**2/2 - 737*m/2 + 1101/4 = 0.
-1, 1, 3, 367/2
Determine n, given that -n**3 + 267*n**2 - 782*n - 2640 = 0.
-2, 5, 264
Factor 4*f**5 + 2228*f**4 + 8872*f**3 + 13288*f**2 + 8852*f + 2212.
4*(f + 1)**4*(f + 553)
Find r such that r**4/4 - 3*r**3/4 = 0.
0, 3
Find g such that -g**3/3 + 130*g**2/3 - 508*g/3 + 168 = 0.
2, 126
Factor 2*y**2 + 1212*y - 31550.
2*(y - 25)*(y + 631)
Determine g so that -g**5/4 + 149*g**4/2 - 3167*g**3/4 + 1435*g**2/2 = 0.
0, 1, 10, 287
Determine s, given that -4*s**4 + 528*s**3 + 1636*s**2 - 2160*s = 0.
-4, 0, 1, 135
Solve 4*x**2 - 7892*x - 55440 = 0.
-7, 1980
What is n in -2*n**3 - 244*n**2 - 1806*n + 2052 = 0?
-114, -9, 1
Determine t so that -t**4 + 14683*t**3 + 44058*t**2 + 4*t - 58744 = 0.
-2, 1, 14686
Factor p**4 - 8023*p**3 + 24060*p**2 + 4*p - 32080.
(p - 8020)*(p - 2)**2*(p + 1)
Factor w**2/2 + 97*w/2 + 473.
(w + 11)*(w + 86)/2
What is v in 4*v**4 - 940*v**3 + 10844*v**2 - 31316*v + 21408 = 0?
1, 3, 8, 223
Factor -f**2/4 + 115*f - 3171/4.
-(f - 453)*(f - 7)/4
Find h, given that -3*h**2/8 + 4092*h = 0.
0, 10912
Factor -3*p**2/2 + 728*p - 968.
-(p - 484)*(3*p - 4)/2
Determine v, given that -2*v**2/5 + 379748*v/5 - 379746/5 = 0.
1, 189873
Let 2*b**4 + 14*b**3 - 68*b**2 - 224*b + 576 = 0. Calculate b.
-9, -4, 2, 4
Factor -o**2/4 - 5585*o/4 + 5587/2.
-(o - 2)*(o + 5587)/4
Determine f so that 5*f**5 + 30*f**4 - 290*f**3 - 100*f**2 + 765*f + 550 = 0.
-11, -1, 2, 5
Factor k**2/6 - 74*k/3 - 1312/3.
(k - 164)*(k + 16)/6
Suppose -2*n**5/11 - 142*n**4/11 - 214*n**3 + 6350*n**2/11 + 19204*n/11 + 10640/11 = 0. Calculate n.
-38, -35, -1, 4
Determine x so that 5*x**4 + 920*x**3 - 1860*x**2 = 0.
-186, 0, 2
Suppose 33*h**2/7 - 1794*h/7 - 49080/7 = 0. Calculate h.
-20, 818/11
Factor z**2/2 + 618*z + 138875/2.
(z + 125)*(z + 1111)/2
Suppose 2*u**4 + 47238*u**3/7 + 52973136*u**2/7 + 19566721152*u/7 - 198064382976/7 = 0. Calculate u.
-1128, 69/7
Determine t so that -13483584*t**3 + 3400272*t**2 - 7360*t + 4 = 0.
1/918, 1/4
Factor -2*l**2 + 1283588*l - 205949769218.
-2*(l - 320897)**2
Find o, given that -45*o**2/4 + 182*o - 32 = 0.
8/45, 16
Factor -