Solve -9*r**5 - 299*r**4 + 276*r**3 + 1264*r**2 - 960*r - 272 = 0 for r.
-34, -2, -2/9, 1, 2
What is l in l**5 - 14*l**4 + 21*l**3 + 176*l**2 + 140*l = 0?
-2, -1, 0, 7, 10
Suppose -2*j**2 - 100*j + 672 = 0. What is j?
-56, 6
Factor 176*s**3 - 972*s**2 + 430*s + 150.
2*(s - 5)*(4*s - 3)*(22*s + 5)
Factor 4*g**2 + 3295000*g + 3294996.
4*(g + 1)*(g + 823749)
Suppose 4*x**2/9 - 8044*x/9 + 18704/3 = 0. What is x?
7, 2004
Factor 2*a**2 - 30898*a - 61804.
2*(a - 15451)*(a + 2)
Factor k**2/2 + 7345*k/2.
k*(k + 7345)/2
Find x such that 14*x**5 - 70568*x**4 + 622127234*x**3/7 + 127183732*x**2 - 661046536*x/7 + 101687056/7 = 0.
-2, 2/7, 2521
Determine b so that 3*b**4 - 981*b**3 + 47877*b**2 + 48861*b = 0.
-1, 0, 61, 267
Factor h**2/6 - 16153*h/6.
h*(h - 16153)/6
Let 4*j**5 - 480*j**4 + 17984*j**3 - 198080*j**2 - 72000*j + 800000 = 0. What is j?
-2, 2, 20, 50
Solve -2*l**2/11 + 164*l - 12530/11 = 0 for l.
7, 895
Factor -2*r**2/7 + 1528948*r/7 - 292210248338/7.
-2*(r - 382237)**2/7
Factor 3*b**2/7 + 49482*b/7 + 98880.
3*(b + 14)*(b + 16480)/7
Suppose -8*j**3 - 97986*j**2 - 24496*j = 0. What is j?
-12248, -1/4, 0
Suppose 2*h**3/13 + 674*h**2/13 + 48508*h/13 - 49184/13 = 0. Calculate h.
-232, -106, 1
Solve -58*g**2/5 - 324*g + 112/5 = 0 for g.
-28, 2/29
Find p, given that -3*p**3/4 + 43407*p**2/4 - 43401*p/2 = 0.
0, 2, 14467
Suppose -g**3/7 + 1718*g**2/7 + 13801*g/7 + 1726 = 0. Calculate g.
-7, -1, 1726
Factor f**2 + 950*f + 1896.
(f + 2)*(f + 948)
Find y such that 220*y**3/9 + 2194*y**2/9 - 1780*y/3 + 16 = 0.
-12, 3/110, 2
Suppose -2*t**5 - 284*t**4/9 + 1162*t**3/9 + 1124*t**2/9 - 304*t/9 = 0. What is t?
-19, -1, 0, 2/9, 4
Determine i so that -i**2/4 + 307209*i/2 - 94377369681/4 = 0.
307209
Factor -2*q**2/23 + 2534*q/23.
-2*q*(q - 1267)/23
Factor -4*c**2 + 57100*c - 228336.
-4*(c - 14271)*(c - 4)
Determine z so that -2*z**5 - 568*z**4 - 33260*z**3 + 1058808*z**2 + 2215134*z + 1123632 = 0.
-153, -1, 24
Determine s, given that -16*s**3 + 4748*s**2 - 308164*s + 303432 = 0.
1, 94, 807/4
Find m such that 10*m**4 - 27135*m**3 - 122290*m**2 - 54360*m = 0.
-4, -1/2, 0, 2718
Let -2*j**2 + 3962*j - 7916 = 0. Calculate j.
2, 1979
Factor 190*h**3 + 38575*h**2 - 76885*h - 2050.
5*(h - 2)*(h + 205)*(38*h + 1)
Factor q**2/3 - 17456*q/3 - 58220.
(q - 17466)*(q + 10)/3
Solve 5*q**4 + 170*q**3 + 460*q**2 - 170*q - 465 = 0 for q.
-31, -3, -1, 1
What is u in -4*u**5/7 - 43212*u**4/7 + 43228*u**3/7 + 129628*u**2/7 - 216072*u/7 + 86432/7 = 0?
-10804, -2, 1
Find k such that 2*k**3 + 7728*k**2 - 15462*k + 7732 = 0.
-3866, 1
Determine p so that -5*p**3 + 13010*p**2 - 8436925*p - 33956180 = 0.
-4, 1303
Solve -2*i**5 + 19222*i**4 - 46156820*i**3 - 138585812*i**2 - 138624266*i - 46214498 = 0.
-1, 4807
Find i, given that -3*i**4 - 306*i**3 + 621*i**2 - 312*i = 0.
-104, 0, 1
Determine w so that -2*w**2 + 4508*w + 4510 = 0.
-1, 2255
Factor -b**4/4 + 1003*b**3/4 + 3015*b**2/4 + 3017*b/4 + 503/2.
-(b - 1006)*(b + 1)**3/4
Factor -x**4/3 - 7*x**3 - 34*x**2 - 188*x/3 - 40.
-(x + 2)**3*(x + 15)/3
Factor 5*k**2 + 28740*k - 28745.
5*(k - 1)*(k + 5749)
Solve 3*f**2/4 - 357*f/4 - 4899/2 = 0 for f.
-23, 142
Solve -3*r**3 - 3210*r**2 - 1043139*r - 92607408 = 0 for r.
-463, -144
Factor 3*a**2/2 - 768*a + 60501/2.
3*(a - 469)*(a - 43)/2
What is f in f**4 + 6602*f**3 + 10896601*f**2 = 0?
-3301, 0
Factor 3*h**4 - 621*h**3 - 1254*h**2.
3*h**2*(h - 209)*(h + 2)
Factor -4*f**2 - 824644*f - 2473896.
-4*(f + 3)*(f + 206158)
Find q such that 3*q**2 - 735*q - 29400 = 0.
-35, 280
What is p in -3*p**2 + 35970*p - 35967 = 0?
1, 11989
Find d, given that d**3/6 - 109*d**2/2 + 25595*d/6 - 39975/2 = 0.
5, 117, 205
Determine w so that 18*w**5 - 5172*w**4 - 19750*w**3 + 158920*w**2 - 179448*w + 55872 = 0.
-8, 2/3, 3, 291
Factor -2*d**2/5 + 1732*d/5 + 10464/5.
-2*(d - 872)*(d + 6)/5
Factor 2*v**4 - 14*v**3 - 84*v**2 + 432*v.
2*v*(v - 9)*(v - 4)*(v + 6)
Suppose -5*u**2 + 1173500*u - 1173495 = 0. Calculate u.
1, 234699
Factor o**2 - 297*o + 1172.
(o - 293)*(o - 4)
Determine p, given that p**2 - 164*p - 3077 = 0.
-17, 181
Determine c so that 5*c**5 - 2770*c**4 + 2765*c**3 = 0.
0, 1, 553
Determine c so that 2*c**3/15 + 6726*c**2/5 = 0.
-10089, 0
Solve 147*b**5/4 - 8463*b**4/4 + 25479*b**3/2 - 21759*b**2 + 9510*b - 1224 = 0.
2/7, 2, 4, 51
Solve -2*r**3 + 538*r**2 + 600*r - 16200 = 0.
-6, 5, 270
Find p such that 9*p**5/4 - 1109*p**4/4 + 2361*p**3/4 + 7117*p**2/4 + 1335*p/2 - 242 = 0.
-1, 2/9, 4, 121
Let -4*n**3/7 - 1500*n**2/7 - 158688*n/7 - 5152192/7 = 0. What is n?
-223, -76
Find k such that 2*k**5/17 - 104*k**4/17 - 1242*k**3/17 + 104*k**2/17 + 1240*k/17 = 0.
-10, -1, 0, 1, 62
Factor 3*b**2 - 6327*b + 332910.
3*(b - 2055)*(b - 54)
Factor -t**3/3 + 233*t**2 - 41064*t + 121104.
-(t - 348)**2*(t - 3)/3
What is g in -2*g**4 + 1524*g**3 - 22410*g**2 - 1000*g + 747000 = 0?
-5, 10, 747
What is m in 4*m**4 + 11128*m**3 + 10714164*m**2 + 4137724240*m + 553030195600 = 0?
-1030, -361
Factor 24*j**4 - 963*j**3 - 4104*j**2 + 528*j.
3*j*(j - 44)*(j + 4)*(8*j - 1)
Find c such that -4*c**4 - 4660*c**3 - 23224*c**2 - 27840*c = 0.
-1160, -3, -2, 0
Let d**2 - 2604*d - 28765 = 0. Calculate d.
-11, 2615
Factor 3*w**3/7 - 9*w**2 - 11838*w/7 - 23400/7.
3*(w - 75)*(w + 2)*(w + 52)/7
Suppose -4*j**4 - 148*j**3 - 972*j**2 - 1196*j + 2320 = 0. What is j?
-29, -5, -4, 1
Suppose 4*x**3/3 + 568*x**2/9 + 1060*x/3 + 2624/9 = 0. What is x?
-41, -16/3, -1
Determine i so that -3*i**5/5 + 141*i**4/5 - 2079*i**3/5 + 8607*i**2/5 + 2166*i = 0.
-1, 0, 10, 19
Suppose -335*f**2 - 436180*f - 13020 = 0. What is f?
-1302, -2/67
Suppose -4638*j**3/5 - 2782*j**2 + 18564*j/5 - 16/5 = 0. What is j?
-4, 2/2319, 1
Factor -g**2 + 11273*g - 22542.
-(g - 11271)*(g - 2)
Solve -92*y**5 + 1101*y**4 - 3184*y**3 - 105*y**2 = 0 for y.
-3/92, 0, 5, 7
Factor 3*d**3/8 + 17931*d**2/8 + 3350295*d + 3348054.
3*(d + 1)*(d + 2988)**2/8
Let 77675*u**4 + 1740*u**3 - 20*u**2 = 0. Calculate u.
-2/65, 0, 2/239
Suppose 2*l**4 + 588*l**3 - 598*l**2 - 2352*l + 2360 = 0. Calculate l.
-295, -2, 1, 2
Solve -5*b**3 - 6490*b**2 - 121675*b - 217430 = 0.
-1279, -17, -2
Suppose j**2/8 - 97*j/4 + 95 = 0. Calculate j.
4, 190
Factor -4*x**3 + 1216*x**2 - 58688*x + 777728.
-4*(x - 248)*(x - 28)**2
Determine b so that -22*b**5/7 - 10118*b**4/7 + 20346*b**3/7 + 10118*b**2/7 - 20324*b/7 = 0.
-5081/11, -1, 0, 1, 2
Factor 5*d**2 + 35900*d - 35905.
5*(d - 1)*(d + 7181)
Suppose -q**4 + 20136*q**3 + 100701*q**2 + 80564*q = 0. Calculate q.
-4, -1, 0, 20141
Let -2*y**3/9 - 61724*y**2/9 - 493646*y/9 + 61708 = 0. Calculate y.
-30854, -9, 1
Solve -d**3/4 + 317*d**2/4 - 25671*d/4 + 120555/4 = 0 for d.
5, 141, 171
Factor 4*p**2/5 - 1372*p/5 - 75072/5.
4*(p - 391)*(p + 48)/5
Factor -2*q**2 + 4426*q.
-2*q*(q - 2213)
Find z, given that -3*z**2 + 78816*z - 517663488 = 0.
13136
Factor 5*l**2 + 702875*l - 1405770.
5*(l - 2)*(l + 140577)
Factor s**3/6 - 1069*s**2/3 + 8539*s/6 - 1067.
(s - 2134)*(s - 3)*(s - 1)/6
Factor f**2 + 12990*f + 42185025.
(f + 6495)**2
Let -4*l**3 - 189388*l**2 + 378788*l - 189396 = 0. What is l?
-47349, 1
Factor 2*s**3/13 + 1324*s**2/13 - 9354*s/13 + 8028/13.
2*(s - 6)*(s - 1)*(s + 669)/13
Factor 3*a**2 - 89916*a - 89919.
3*(a - 29973)*(a + 1)
Find a such that 4*a**4/9 - 4*a**3/9 - 16*a**2/9 + 16*a/9 = 0.
-2, 0, 1, 2
Determine g, given that 30*g**5 - 231*g**4 + 477*g**3 - 381*g**2 + 105*g = 0.
0, 7/10, 1, 5
Factor -5*w**2/3 - 4421*w/3 - 884/3.
-(w + 884)*(5*w + 1)/3
Factor u**5/4 - 167*u**4 + 333*u**3.
u**3*(u - 666)*(u - 2)/4
Factor 2*c**3 + 2320*c**2 + 737000*c + 36300000.
2*(c + 60)*(c + 550)**2
Suppose 3*o**5 - 3093*o**4 + 760389*o**3 + 19239189*o**2 - 19996488*o = 0. Calculate o.
-24, 0, 1, 527
Determine y so that 2*y**5/19 + 2*y**4 + 44*y**3/19 - 444*y**2/19 - 558*y/19 + 918/19 = 0.
-17, -3, 1, 3
Find l, given that -l**2/4 + 813*l - 1625 = 0.
2, 3250
Factor 3*a**2/4 + 20385*a/4 + 35637.
3*(a + 7)*(a + 6788)/4
Let 5*f**3 - 13910*f**2 - 252000*f = 0. Calculate f.
-18, 0, 2800
Factor -z**3/3 - 4067*z**2/3 - 4064*z/3 + 8132/3.
-(z - 1)*(z + 2)*(z + 4066)/3
Factor -2*f**3/11 - 504*f**2/11 - 31752*f/11.
-2*f*(f + 126)**2/11
Find p, given that -p**5/2 - 285*p**4 + 10373*p**3 - 128744*p**2 + 1241823*p/2 - 805255 = 0.
-605, 2, 11
Find j such that -j**3 - 125*j**2 + 5182*j - 5056 = 0.
-158, 1, 32
Factor 