
Solve -2*d**5 + 4*d**4 + 10*d**3 - 20*d**2 - 8*d + 16 = 0.
-2, -1, 1, 2
Find p, given that -2*p**4 - 12*p**3 + 286*p**2 + 912*p + 616 = 0.
-14, -2, -1, 11
Let -4*s**4/7 + 304*s**3 - 60648*s**2 + 5377456*s - 178800412 = 0. What is s?
133
Find n such that -n**5/6 + 41*n**4/3 - 1597*n**3/6 - 574*n**2 - 294*n = 0.
-1, 0, 42
Suppose -6*g**5/5 - 406*g**4 - 167914*g**3/5 + 646038*g**2/5 + 233928*g/5 = 0. Calculate g.
-171, -1/3, 0, 4
Solve x**4 + 217*x**3 + 853*x**2 + 207*x - 1278 = 0.
-213, -3, -2, 1
Suppose -12*u**5/5 + 39*u**4/5 + 3*u**3/5 - 39*u**2/5 + 9*u/5 = 0. What is u?
-1, 0, 1/4, 1, 3
Factor 3*b**4 - 123*b**2 - 216*b + 336.
3*(b - 7)*(b - 1)*(b + 4)**2
Factor 2*b**3/7 - 142*b**2 + 123006*b/7 + 124002/7.
2*(b - 249)**2*(b + 1)/7
Determine k, given that 2*k**3 - 98*k**2 - 202*k - 102 = 0.
-1, 51
Determine d so that -2*d**5/17 - 1046*d**4/17 - 138326*d**3/17 - 408722*d**2/17 - 23920*d - 135200/17 = 0.
-260, -1
Solve -n**3/7 + 481*n**2/7 + n/7 - 481/7 = 0.
-1, 1, 481
What is o in -3*o**3 - 21*o**2 - 24*o + 48 = 0?
-4, 1
Determine s so that 3*s**3/5 + 63*s**2/5 - 138*s/5 = 0.
-23, 0, 2
Determine n so that -8*n**2/15 + 14*n/3 + 6/5 = 0.
-1/4, 9
Suppose 2*w**5/5 + 2*w**4/5 - 6*w**3 - 10*w**2 + 28*w/5 + 48/5 = 0. Calculate w.
-3, -2, -1, 1, 4
Find f such that -5*f**3 + 43890*f**2 - 128422140*f + 125254393880 = 0.
2926
Factor 3*z**2/5 + 882*z/5 + 1752/5.
3*(z + 2)*(z + 292)/5
Suppose 75*y**5 + 3720*y**4 + 48903*y**3 + 66390*y**2 - 32544*y + 3456 = 0. Calculate y.
-24, -2, 1/5
Determine l, given that -4*l**3 - 20*l**2 + 32*l + 48 = 0.
-6, -1, 2
Factor 15*p**4 + 800*p**3 + 265*p**2.
5*p**2*(p + 53)*(3*p + 1)
Factor -5*x**3 + 2985*x**2 + 24120*x + 48400.
-5*(x - 605)*(x + 4)**2
Solve 19*b**3 - 39*b**2 + 21*b - 1 = 0 for b.
1/19, 1
Factor -2*i**2/7 + 40*i/7 - 72/7.
-2*(i - 18)*(i - 2)/7
Determine i so that -39*i**2 - 279*i - 42 = 0.
-7, -2/13
Solve 8*c**4/3 - 278*c**3 + 616*c**2 - 1226*c/3 + 68 = 0.
1/4, 1, 102
Find d, given that -d**4 + 22*d**3 + 99*d**2/4 - 163*d/4 + 23/2 = 0.
-2, 1/2, 23
Find v, given that 3*v**3/2 + 24*v**2 - 183*v/2 - 114 = 0.
-19, -1, 4
Determine o, given that 16*o**3/9 - 2*o**2 - 64*o/9 + 8 = 0.
-2, 9/8, 2
Factor -3*u**3 + 855*u**2 - 2526*u - 3384.
-3*(u - 282)*(u - 4)*(u + 1)
Let -2*v**4 + 1702*v**3 - 482232*v**2 + 45328672*v + 45812608 = 0. What is v?
-1, 284
Factor -2*z**3/9 + 68*z**2/3 - 578*z.
-2*z*(z - 51)**2/9
Factor 5*c**2 + 405*c - 410.
5*(c - 1)*(c + 82)
Factor -v**3 - 7*v**2 + 49*v + 343.
-(v - 7)*(v + 7)**2
Suppose -2*q**2/7 + 12*q/7 - 18/7 = 0. Calculate q.
3
Determine x so that 5*x**4 - 40*x**3 - 20*x**2 + 160*x = 0.
-2, 0, 2, 8
Factor -4*g**3 - 64*g**2 - 208*g - 192.
-4*(g + 2)**2*(g + 12)
Let 45*s**5 + 145*s**4 + 30*s**3 - 180*s**2 - 40*s = 0. What is s?
-2, -2/9, 0, 1
Factor 4*r**3 + 12*r**2 + 8*r.
4*r*(r + 1)*(r + 2)
What is h in -h**2/2 + 137*h - 272 = 0?
2, 272
Find n, given that 6*n**4 - 34*n**3 - 52*n**2/3 + 88*n/3 + 16 = 0.
-2/3, 1, 6
Let 2*r**3/9 - 2*r**2 = 0. What is r?
0, 9
Solve -d**3/2 - 101*d**2/2 - 289*d - 380 = 0 for d.
-95, -4, -2
Factor c**2/3 + 16*c.
c*(c + 48)/3
Solve 4*p**5/5 + 12*p**4/5 - 92*p**3/5 - 60*p**2 - 40*p = 0 for p.
-5, -2, -1, 0, 5
Find v, given that 2*v**2 + 116*v = 0.
-58, 0
Determine z, given that -z**5 - 5*z**4 - 3*z**3 + 13*z**2 + 8*z - 12 = 0.
-3, -2, 1
Solve m**4 + 45*m**3 + 82*m**2 - 180*m - 344 = 0 for m.
-43, -2, 2
Solve 5*f**3/4 - 5*f**2/2 - 365*f/4 - 175/2 = 0.
-7, -1, 10
Determine l so that -l**3 - 2*l**2 + 13*l - 10 = 0.
-5, 1, 2
Determine a so that -3*a**4 - 143*a**3 - 93*a**2 + 47*a = 0.
-47, -1, 0, 1/3
What is s in -2*s**5 + 62*s**4 - 606*s**3 + 1898*s**2 - 1352*s = 0?
0, 1, 4, 13
Factor 81*y**5/4 + 645*y**4/4 + 318*y**3 - 12*y**2.
3*y**2*(y + 4)**2*(27*y - 1)/4
Solve 2*x**4 + 8*x**3 - 2*x**2 - 32*x - 24 = 0.
-3, -2, -1, 2
Determine h so that -14*h**4/3 + 100*h**3 - 398*h**2/3 - 16*h + 160/3 = 0.
-4/7, 1, 20
Factor t**3 + 169*t**2 + 7224*t + 7056.
(t + 1)*(t + 84)**2
Suppose 2*r**2/7 - 26*r - 184/7 = 0. Calculate r.
-1, 92
Factor -x**2/2 - 3*x - 9/2.
-(x + 3)**2/2
Factor 3*v**4 - 222*v**3.
3*v**3*(v - 74)
Let -q**2 - 564*q - 79524 = 0. Calculate q.
-282
Factor -5*u**2 + 1690*u - 142805.
-5*(u - 169)**2
Factor -3*g**3 + 15*g**2 + 72*g.
-3*g*(g - 8)*(g + 3)
Factor 2*k**4 + 672*k**3 + 668*k**2 - 672*k - 670.
2*(k - 1)*(k + 1)**2*(k + 335)
Factor i**4/11 - 25*i**3/11 - 3*i**2/11 + 7*i - 50/11.
(i - 25)*(i - 1)**2*(i + 2)/11
Factor 18*n**5 + 345*n**4 + 2325*n**3 + 6210*n**2 + 4860*n + 648.
3*(n + 1)*(n + 6)**3*(6*n + 1)
Let -c**2/4 + 187*c/4 - 93/2 = 0. What is c?
1, 186
Factor 2*p**2/3 + 8*p/3 - 10/3.
2*(p - 1)*(p + 5)/3
Find v such that -v**2/6 + 239*v/3 - 2365/6 = 0.
5, 473
Factor -5*c**4 + 330*c**3 - 2965*c**2 + 9420*c - 10080.
-5*(c - 56)*(c - 4)*(c - 3)**2
Solve -4*g**3 - 1696*g**2 - 3376*g = 0.
-422, -2, 0
Factor 4*c**3/7 + 12*c**2/7 - 36*c/7 + 20/7.
4*(c - 1)**2*(c + 5)/7
Find v such that -3*v**4/4 + 503*v**3/4 - 167*v**2/2 = 0.
0, 2/3, 167
Factor 4*i**4 - 360*i**3 + 4800*i**2 - 23000*i + 37500.
4*(i - 75)*(i - 5)**3
Solve 9*h**5 - 12*h**4 - 32*h**3 + 48*h**2 - 16*h = 0.
-2, 0, 2/3, 2
Find b, given that -b**5/5 - 7*b**4/5 - 17*b**3/5 - 17*b**2/5 - 6*b/5 = 0.
-3, -2, -1, 0
Factor -u**4/7 - 8*u**3 - 783*u**2/7 + 8*u + 112.
-(u - 1)*(u + 1)*(u + 28)**2/7
Let 2*x**5/9 + 34*x**4/3 + 1124*x**3/9 + 1112*x**2/3 + 2960*x/9 = 0. Calculate x.
-37, -10, -2, 0
Suppose -3*w**5 - 156*w**4 + 333*w**3 + 486*w**2 = 0. Calculate w.
-54, -1, 0, 3
What is d in 3*d**3/8 - 63*d**2/8 + 27*d/4 + 15 = 0?
-1, 2, 20
Factor k**4 - 37*k**3 + 171*k**2 + 457*k + 248.
(k - 31)*(k - 8)*(k + 1)**2
Determine j so that 3*j**3/7 - 6*j**2/7 - 33*j/7 + 36/7 = 0.
-3, 1, 4
Suppose 105*y**5 - 2532*y**4 + 17601*y**3 - 27102*y**2 + 924*y + 2904 = 0. Calculate y.
-2/7, 2/5, 2, 11
What is z in 2*z**4/23 + 200*z**3/23 + 5900*z**2/23 + 45000*z/23 + 101250/23 = 0?
-45, -5
Suppose 5*g**5 + 40*g**4 - 215*g**3 - 970*g**2 + 5280*g - 5760 = 0. Calculate g.
-8, 2, 3
Let -33*w**3 + 1263*w**2 - 12255*w + 3249 = 0. Calculate w.
3/11, 19
Factor -2*p**2/11 - 1228*p/11 + 3702/11.
-2*(p - 3)*(p + 617)/11
Let -a**2/3 - 2*a/3 + 8/3 = 0. What is a?
-4, 2
Find u such that -80*u**5 + 368*u**4 - 420*u**3 + 88*u**2 + 68*u - 24 = 0.
-2/5, 1/2, 1, 3
Find u such that -u**2/3 - 130*u/3 - 168 = 0.
-126, -4
Solve 4107*r**3 + 15984*r**2 - 1764*r + 48 = 0 for r.
-4, 2/37
Let -8*x**3/5 - 516*x**2/5 + 788*x/5 - 264/5 = 0. What is x?
-66, 1/2, 1
Solve -n**5/9 + 11*n**4/9 - 11*n**3/3 + 37*n**2/9 - 14*n/9 = 0.
0, 1, 2, 7
Find z, given that -z**4 - 6*z**3 + 261*z**2 + 266*z = 0.
-19, -1, 0, 14
Suppose 2*y**5/19 - 66*y**4/19 + 508*y**3/19 + 644*y**2/19 - 510*y/19 - 578/19 = 0. What is y?
-1, 1, 17
Determine r, given that r**5/7 + 71*r**4/7 - 75*r**3/7 - 211*r**2/7 + 358*r/7 - 144/7 = 0.
-72, -2, 1
Factor 3*h**2 - 1359*h.
3*h*(h - 453)
Solve s**5/12 - 2*s**4 + 5*s**3/3 + 35*s**2/6 - 7*s/4 - 23/6 = 0.
-1, 1, 2, 23
Find f such that 8*f**2 - 26*f + 6 = 0.
1/4, 3
Suppose -3*m**4/4 + 3*m**3 - 9*m**2/4 - 3*m + 3 = 0. What is m?
-1, 1, 2
Suppose 25*i**4/4 + 415*i**3/4 + 115*i**2/2 - 40*i = 0. What is i?
-16, -1, 0, 2/5
Factor -c**2 + 7*c - 10.
-(c - 5)*(c - 2)
Determine s so that -25*s**4 + 105*s**3 - 145*s**2 + 75*s - 10 = 0.
1/5, 1, 2
Find s such that -s**5/4 + s**3/4 = 0.
-1, 0, 1
Find d, given that d**3 - 9*d**2 - 30*d + 88 = 0.
-4, 2, 11
Factor -2*v**4 - 22*v**3 - 18*v**2 + 238*v - 196.
-2*(v - 2)*(v - 1)*(v + 7)**2
Factor 5*k**5 - 55*k**4 + 120*k**3 + 180*k**2.
5*k**2*(k - 6)**2*(k + 1)
Factor -3*m**2 + 1782*m - 3552.
-3*(m - 592)*(m - 2)
Let 3*f**4 - 1887*f**3 = 0. What is f?
0, 629
Determine a, given that -2*a**3 + 12*a**2 + 128*a + 192 = 0.
-4, -2, 12
Factor h**2 - 1064*h + 1063.
(h - 1063)*(h - 1)
Let -5*c**3 - 30*c**2 - 55*c - 30 = 0. What is c?
-3, -2, -1
Determine w, given that -85*w**3 + 1540*w**2/3 + 575*w - 70/3 = 0.
-1, 2/51, 7
Factor 2*p**2/17 + 8028*p/17 + 8056098/17.
2*(p + 2007)**2/17
Solve -5*x**5/4 + 715*x**4/4 - 27955*x**3/4 + 172085*x**2/4 - 88230*x + 52020 = 0.
1, 3, 68
Factor 4*b**4 + 92*b**3 + 324*b**2 + 388*b + 152.
4*(b + 1)**2*(b + 2)*(b + 19)
Suppose 14*u**5/9 - 64*u**4/3 + 98*u**3/3 - 68*u**2/9 - 16*u/3 = 0. Calculate u.
-2/7, 0, 1, 12
What is t in -t**2/3 + 1208*t/3 - 364816/3 = 0?
604
Factor -2*j**3 + 46*j**2 + 47