ermine r, given that -5*r**3 - 1175*r**2 + 7185*r - 10845 = 0.
-241, 3
Determine s so that -2*s**4/15 + 6*s**3/5 + 58*s**2/15 - 54*s/5 + 88/15 = 0.
-4, 1, 11
Determine j, given that 3*j**2 + 5061*j + 10110 = 0.
-1685, -2
Suppose c**3/4 - 19*c**2/4 + 7*c + 120 = 0. What is c?
-4, 8, 15
Factor 2*g**3 - 292*g**2 - 2142*g.
2*g*(g - 153)*(g + 7)
Solve 3*c**2 + 6003*c = 0 for c.
-2001, 0
Solve p**3/7 - 125*p**2/7 + 2500*p/7 = 0 for p.
0, 25, 100
Factor 3*r**2/7 + 66*r/7 - 6264/7.
3*(r - 36)*(r + 58)/7
Determine w, given that -6*w**4 - 4215*w**3 - 18858*w**2 - 8376*w = 0.
-698, -4, -1/2, 0
Factor 2*g**3/7 - 552*g**2/7 - 15366*g/7 - 102076/7.
2*(g - 302)*(g + 13)**2/7
Factor 70*k**2 - 4314*k + 2684.
2*(k - 61)*(35*k - 22)
Let -2*d**2/3 + 260*d/3 + 3718/3 = 0. What is d?
-13, 143
Find k such that -5*k**5 + 400*k**4 - 10385*k**3 + 91270*k**2 - 152960*k + 71680 = 0.
1, 14, 32
Factor -2*t**2/11 + 326*t/11 - 4440/11.
-2*(t - 148)*(t - 15)/11
Solve -3*p**4 + 4274*p**3 - 124213*p**2 + 80910*p = 0 for p.
0, 2/3, 29, 1395
Find s such that -3*s**4/4 + 5726*s**3 + 3819*s**2/2 - 5726*s - 7635/4 = 0.
-1, -1/3, 1, 7635
Find l such that -2*l**5/7 - 206*l**4/7 - 7424*l**3/7 - 111672*l**2/7 - 98496*l - 1247616/7 = 0.
-38, -12, -3
Factor n**5/8 - 885*n**4/4 + 261515*n**3/2 - 103725845*n**2/4 + 608846355*n/8 + 204336469/2.
(n - 589)**3*(n - 4)*(n + 1)/8
Factor u**2 - 362*u - 10503.
(u - 389)*(u + 27)
Factor 3*j**2 - 2808*j + 30525.
3*(j - 925)*(j - 11)
Determine x so that 3*x**2/2 + 411*x - 9405/2 = 0.
-285, 11
Suppose -r**3/2 - 7825*r**2 - 46936*r - 62576 = 0. Calculate r.
-15644, -4, -2
Determine z, given that 5*z**2 - 246680*z - 246685 = 0.
-1, 49337
What is i in 3*i**4 + 6417*i**3 + 3428244*i**2 - 3511740*i - 41216400 = 0?
-1070, -3, 4
Let -3*k**3 + 2475*k**2 - 469944*k - 17036112 = 0. What is k?
-31, 428
Let 5*w**4 + 1980585*w**3 + 196134856815*w**2 - 196136837405*w = 0. Calculate w.
-198059, 0, 1
Suppose 2*z**2/9 + 1188*z - 10710 = 0. What is z?
-5355, 9
Factor 2*m**3/9 - 6544*m**2/9 + 19618*m/9 - 13076/9.
2*(m - 3269)*(m - 2)*(m - 1)/9
Let d**2/3 + 107626*d/3 - 71752 = 0. Calculate d.
-107628, 2
Factor 5*o**4/6 - 315*o**3/2 + 9760*o**2 - 563200*o/3 - 655360.
5*(o - 64)**3*(o + 3)/6
What is k in 5*k**2/4 + 84035*k/2 - 168075/4 = 0?
-33615, 1
Determine z so that 4*z**4 + 12224*z**3 - 122572*z**2 + 208600*z + 343392 = 0.
-3066, -1, 4, 7
Factor -f**3/4 + 522*f**2 - 12485*f/4 - 7287/2.
-(f - 2082)*(f - 7)*(f + 1)/4
Factor p**5 - 165*p**4 - 334*p**3 - 2*p**2 + 333*p + 167.
(p - 167)*(p - 1)*(p + 1)**3
Factor 2*w**3/3 - 1090*w**2/3 + 39402*w + 2881494.
2*(w - 297)**2*(w + 49)/3
Determine s so that 2*s**2/9 - 64*s/9 - 4690/9 = 0.
-35, 67
Factor -5*f**2 - 2745*f - 275220.
-5*(f + 132)*(f + 417)
Suppose 3*b**5 + 561*b**4 + 14031*b**3 - 15729*b**2 - 29202*b = 0. What is b?
-157, -31, -1, 0, 2
Find c such that -2*c**5/3 - 4990*c**4/3 - 1038334*c**3 - 3100042*c**2/3 + 6220036*c/3 = 0.
-1247, -2, 0, 1
Determine f, given that 12*f**3 - 2366480*f**2 + 116672196956*f - 77780412872 = 0.
2/3, 98603
Factor -301467*s**3 - 195060561*s**2 - 7383672*s - 69876.
-3*(s + 647)*(317*s + 6)**2
Solve -2*n**4 + 3382*n**3 - 30232*n**2 - 74008*n = 0.
-2, 0, 11, 1682
Factor -2*n**3/7 - 634*n**2/7 - 41382*n/7 + 1462050/7.
-2*(n - 25)*(n + 171)**2/7
Factor x**4/4 + 656*x**3 + 579354*x**2 + 176989616*x + 4221502324.
(x + 26)*(x + 866)**3/4
What is p in 852*p**4 + 1702*p**3 - 2560*p**2 + 6*p = 0?
-3, 0, 1/426, 1
Solve 5*o**2 - 2360*o - 21645 = 0.
-9, 481
Find n such that -4*n**5/3 + 208*n**4/3 - 416*n**3 - 632*n**2/3 + 4196*n/3 - 840 = 0.
-2, 1, 7, 45
What is v in 4*v**5/3 - 67*v**4/3 + 73*v**3 + 367*v**2/3 + 77*v/3 = 0?
-1, -1/4, 0, 7, 11
Solve -3*v**5/2 - 57*v**4/2 + 171*v**3 - 222*v**2 - 132*v + 288 = 0 for v.
-24, -1, 2
Suppose q**5/6 - 23*q**4/6 + 149*q**3/6 + 47*q**2/6 - 465*q + 756 = 0. Calculate q.
-4, 2, 7, 9
Factor 2*h**2/19 + 6230*h/19 - 328.
2*(h - 1)*(h + 3116)/19
What is b in -6*b**5/7 - 5090*b**4/7 + 18728*b**3/7 - 13640*b**2/7 - 6816*b/7 = 0?
-852, -1/3, 0, 2
Factor 50*w**2 + 2816*w + 896.
2*(w + 56)*(25*w + 8)
Factor d**4/2 - 42*d**3 + 922*d**2 - 4032*d - 33696.
(d - 52)*(d - 18)**2*(d + 4)/2
Let t**4 + 22*t**3 - 688*t**2 + 1280*t = 0. Calculate t.
-40, 0, 2, 16
Let -h**2/2 - 2719*h/2 - 1359 = 0. Calculate h.
-2718, -1
Solve j**4/2 - 497*j**3/2 + 3917*j**2/2 - 2395*j/2 - 12225 = 0.
-2, 5, 489
Let 3*n**2 + 2478*n - 7461 = 0. Calculate n.
-829, 3
Find g, given that -4*g**4 - 1692*g**3 - 229164*g**2 - 10061972*g = 0.
-197, -113, 0
Factor -4*i**2 - 3696*i.
-4*i*(i + 924)
Solve -2*h**3/9 + 8*h**2/9 + 56*h/3 + 32 = 0.
-6, -2, 12
Suppose -3*w**2 + 204*w - 1281 = 0. Calculate w.
7, 61
Factor -4*t**3/7 + 36364*t**2/7 - 82591708*t/7 - 248102508/7.
-4*(t - 4547)**2*(t + 3)/7
Let 2*q**2/3 + 1620656*q/3 + 328315733792/3 = 0. Calculate q.
-405164
Solve 5*j**5/2 + 67*j**4/2 - 51*j**3 - 362*j**2 + 788*j - 336 = 0.
-14, -4, 3/5, 2
Factor 4*x**3/5 + 2128*x**2 - 74628*x/5 + 128016/5.
4*(x - 4)*(x - 3)*(x + 2667)/5
Factor -619*h**3/2 + 45*h**2.
-h**2*(619*h - 90)/2
Factor p**2/6 + 8744*p/3 + 38228768/3.
(p + 8744)**2/6
Suppose y**4/2 + 15*y**3 - 3*y**2/2 - 46*y - 30 = 0. What is y?
-30, -1, 2
What is q in -2*q**3/5 - 7564*q**2/5 + 6056*q - 30288/5 = 0?
-3786, 2
Determine f, given that -4*f**5/7 - 66536*f**4/7 - 368831196*f**3/7 - 680861855432*f**2/7 + 2728244889200*f/7 - 2047014136032/7 = 0.
-5546, 1, 3
Let -343*c**5/3 - 2357047*c**4/3 - 6732292*c**3/3 - 4616144*c**2/3 - 1208960*c/3 - 109904/3 = 0. Calculate c.
-6869, -2, -2/7
Suppose -9*n**5 + 4863*n**4 - 657696*n**3 + 205752*n**2 + 1743120*n + 874800 = 0. Calculate n.
-1, -2/3, 2, 270
Let 2*r**5 - 33376*r**4 + 139278040*r**3 - 278389220*r**2 - 139278042*r + 278422596 = 0. Calculate r.
-1, 1, 2, 8343
Find u such that -4*u**3 + 248*u**2 + 97540*u + 194056 = 0.
-127, -2, 191
Solve -n**3 + 346*n**2 + 2184*n - 25344 = 0.
-12, 6, 352
Solve k**5/3 + 5*k**4/3 - 13*k**3/3 - 53*k**2/3 + 20*k = 0 for k.
-5, -4, 0, 1, 3
Factor -m**3 - 1327*m**2 - 23543*m + 24871.
-(m - 1)*(m + 19)*(m + 1309)
Determine u, given that -5*u**3 - 5775*u**2 - 1530000*u + 81000000 = 0.
-600, 45
Factor -30*j**2 - 584405*j - 97400.
-5*(j + 19480)*(6*j + 1)
Factor -20*k**2 - 3475*k - 105105.
-5*(k + 39)*(4*k + 539)
Find p such that -2*p**4/3 + 20*p**3/3 + 598*p**2/3 = 0.
-13, 0, 23
Let 2*h**4/13 + 82*h**3/13 - 822*h**2/13 - 1882*h/13 - 980/13 = 0. Calculate h.
-49, -1, 10
Let 458*j**5 - 3658*j**4 - 964*j**3 + 32964*j**2 - 28422*j - 378 = 0. What is j?
-3, -3/229, 1, 3, 7
Suppose l**4/7 + 111*l**3/7 + 2251*l**2/7 - 18579*l/7 - 2960 = 0. What is l?
-80, -37, -1, 7
Find t, given that 3*t**2 - 57*t + 54 = 0.
1, 18
Factor 10*r**3/7 - 3282*r**2/7 - 87544*r/7.
2*r*(r - 353)*(5*r + 124)/7
Factor -5*n**3 - 4145*n**2 + 233730*n.
-5*n*(n - 53)*(n + 882)
Solve 3*d**3 + 15*d**2 - 150*d = 0.
-10, 0, 5
Factor j**3/6 + 583*j**2/2 + 26204*j + 77738/3.
(j + 1)*(j + 94)*(j + 1654)/6
Let 21*v**5 + 2241*v**4 - 73260*v**3 + 20748*v**2 = 0. Calculate v.
-133, 0, 2/7, 26
Factor -4*h**3 + 12676*h**2 - 151680*h + 454608.
-4*(h - 3157)*(h - 6)**2
Factor 5*j**2 + 14170*j - 912555.
5*(j - 63)*(j + 2897)
Let -5*r**5 + 10*r**4 + 140*r**3 + 230*r**2 + 105*r = 0. Calculate r.
-3, -1, 0, 7
Solve -g**4 + 940*g**3 - 289300*g**2 + 32148000*g - 1169640000 = 0 for g.
90, 380
Factor 5*k**3/3 + 1550*k**2/3 - 57755*k/3 + 249400/3.
5*(k - 29)*(k - 5)*(k + 344)/3
Factor -3*v**3 - 380*v**2 + 899*v - 516.
-(v - 1)*(v + 129)*(3*v - 4)
What is o in 8*o**3/7 + 6890*o**2/7 + 22328*o/7 + 17160/7 = 0?
-858, -2, -5/4
Factor 2*y**3 + 40672*y**2 + 162664*y + 162656.
2*(y + 2)**2*(y + 20332)
Suppose z**3 + 7*z**2 - 65*z - 231 = 0. What is z?
-11, -3, 7
Suppose -4*x**3 + 1032*x**2 - 63984*x + 123872 = 0. What is x?
2, 98, 158
Find y such that 64*y**4/5 - 32*y**3 - 892*y**2/5 + 472*y/5 - 12 = 0.
-3, 1/4, 5
Let -27*h**2 + 122772*h - 13641 = 0. What is h?
1/9, 4547
Let -2*f**4/9 - 104*f**3/9 - 794*f**2/9 + 212*f - 112 = 0. Calculate f.
-42, -12, 1
Suppose 155*t**4 - 832*t**3 - 743*t**2 + 832*t + 588 = 0. What is t?
-1, -98/155, 1, 6
Determine i, given that 3*i**3 - 11667*i**2 - 70083*i - 105165 = 0.
-3, 3895
Find g such that -4*g**3 - 87488*g**2/9 - 11876*g - 19432/9 = 0.
-2429, -1, -2/9
Factor 4*m**3 + 41748*m**2 + 108449280*m - 2516466800.
4*