31
Factor 2*o**4/3 + 46*o**3/3 - 152*o**2/3 + 104*o/3.
2*o*(o - 2)*(o - 1)*(o + 26)/3
Solve -s**5/6 + 11*s**4/3 - 59*s**3/2 + 102*s**2 - 126*s = 0 for s.
0, 3, 6, 7
Determine u so that -3*u**4 - 24*u**3 - 42*u**2 + 24*u + 45 = 0.
-5, -3, -1, 1
Factor u**2/2 - 9*u/2 - 11.
(u - 11)*(u + 2)/2
Factor 125*o**4 - 475*o**3 + 320*o**2 - 60*o.
5*o*(o - 3)*(5*o - 2)**2
Determine v so that 44*v**5 + 28*v**4 - 60*v**3 - 28*v**2 + 16*v = 0.
-1, 0, 4/11, 1
Solve -z**2/4 - 37*z/4 = 0.
-37, 0
Determine q so that 3*q**5/5 + 273*q**4/5 + 264*q**3/5 - 108*q**2 = 0.
-90, -2, 0, 1
Factor m**2/3 - 7*m/3 - 20.
(m - 12)*(m + 5)/3
Factor -2*r**3/9 - 20*r**2/3 - 56*r - 784/9.
-2*(r + 2)*(r + 14)**2/9
Solve 49*q**4/6 - 9919*q**3/6 - 7838*q**2/3 - 3262*q/3 - 136 = 0.
-1, -2/7, 204
Let 2*u**3 - 14*u**2 - 28*u + 96 = 0. Calculate u.
-3, 2, 8
Factor 4*o**2 - 68*o - 72.
4*(o - 18)*(o + 1)
Factor 2*s**5 + 6*s**4 - 44*s**3 - 180*s**2 - 54*s + 270.
2*(s - 5)*(s - 1)*(s + 3)**3
Let -5*l**2 + 90*l + 95 = 0. What is l?
-1, 19
Let 2*f**2/7 - 1164*f/7 + 169362/7 = 0. Calculate f.
291
Factor 34*m**2/11 + 404*m/11 - 48/11.
2*(m + 12)*(17*m - 2)/11
Factor -r**4/2 + 8*r**3 - 48*r**2 + 128*r - 128.
-(r - 4)**4/2
Factor -5*p**4 + 85*p**3 + 205*p**2 - 285*p.
-5*p*(p - 19)*(p - 1)*(p + 3)
Factor -3*w**3/7 + 24*w**2 + 1089*w/7 + 1674/7.
-3*(w - 62)*(w + 3)**2/7
Factor -49*o**4/6 + 7*o**3/3 + 83*o**2/6 - 2*o - 6.
-(o - 1)**2*(7*o + 6)**2/6
Find s such that -4*s**4/5 - 192*s**3/5 - 460*s**2 + 192*s/5 + 2304/5 = 0.
-24, -1, 1
Solve 3*c**2 - 12*c - 36 = 0.
-2, 6
Suppose -f**3/3 + 86*f**2/3 + 547*f/3 + 460/3 = 0. What is f?
-5, -1, 92
What is y in -35*y**4 - 990*y**3 - 7140*y**2 - 1960*y = 0?
-14, -2/7, 0
Solve -t**3 - 36*t**2 - 128*t = 0.
-32, -4, 0
Factor 2*n**2 - 514*n + 512.
2*(n - 256)*(n - 1)
Find b, given that -b**5/4 + 7*b**4/2 - 7*b**3 - 29*b**2/2 + 29*b/4 + 11 = 0.
-1, 1, 4, 11
Let -4*y**3 - 96*y**2 - 176*y = 0. What is y?
-22, -2, 0
Factor -n**2/7 + 307*n/7 - 610/7.
-(n - 305)*(n - 2)/7
What is n in -28*n**2 - 1072*n - 304 = 0?
-38, -2/7
Factor 4*w**4 - 52*w**3 - 288*w**2 + 6400*w - 22528.
4*(w - 8)**3*(w + 11)
Factor -3*d**3 + 909*d**2 - 91809*d + 3090903.
-3*(d - 101)**3
Factor -2*x**2/9 - 268*x/9 + 544/9.
-2*(x - 2)*(x + 136)/9
Suppose 4*a**3 - 56*a**2 + 192*a = 0. What is a?
0, 6, 8
Find z such that -2*z**5 + 10*z**4 - 12*z**3 = 0.
0, 2, 3
Factor -3*s**2 - 171*s + 4050.
-3*(s - 18)*(s + 75)
Let -636*d**2/7 + 87*d + 27/7 = 0. What is d?
-9/212, 1
Find s, given that 5*s**5/3 - 55*s**4/3 - 15*s**3 + 1055*s**2/3 + 2000*s/3 + 320 = 0.
-3, -1, 8
Solve -u**2/3 + 196*u/3 = 0.
0, 196
Factor -4*m**5 + 76*m**4 - 320*m**3 - 400*m**2.
-4*m**2*(m - 10)**2*(m + 1)
Factor 4*h**5 + 49*h**4 + 132*h**3 + 142*h**2 + 64*h + 9.
(h + 1)**3*(h + 9)*(4*h + 1)
Find n, given that -66*n**2/5 - 27*n/5 + 3/5 = 0.
-1/2, 1/11
Suppose 273*n**2/5 + 271*n/5 - 2/5 = 0. Calculate n.
-1, 2/273
Let -10*l**4/13 - 24*l**3/13 + 72*l**2/13 + 32*l/13 = 0. Calculate l.
-4, -2/5, 0, 2
Factor -4*z**2/3 - 20*z/3 + 272.
-4*(z - 12)*(z + 17)/3
Let -l**2/2 - 3203*l/2 - 3201 = 0. Calculate l.
-3201, -2
Factor 5*f**2 + 415*f - 420.
5*(f - 1)*(f + 84)
Find s, given that -2*s**2/9 - 272*s/9 - 9248/9 = 0.
-68
Solve 2*o**3/3 + 6*o**2 - 3314*o/3 - 1110 = 0.
-45, -1, 37
Suppose -k**2 - 423*k + 2574 = 0. Calculate k.
-429, 6
Factor -2*s**4/5 - 114*s**3/5 - 324*s**2 - 8856*s/5 - 16848/5.
-2*(s + 6)**3*(s + 39)/5
Solve -2*c**5/7 - 98*c**4 - 59166*c**3/7 - 58482*c**2/7 = 0 for c.
-171, -1, 0
Find n, given that -18*n**5 - 426*n**4 - 2180*n**3 + 3496*n**2 - 1232*n = 0.
-14, -11, 0, 2/3
Determine z so that 3*z**4/5 + 504*z**3/5 + 18498*z**2/5 - 44856*z + 118815 = 0.
-89, 5
Determine j so that 10*j**4/3 - 40*j**3/3 - 45*j**2/2 + 455*j/6 + 245/3 = 0.
-2, -1, 7/2
Suppose -s**3 - 2*s**2 + 41*s + 42 = 0. Calculate s.
-7, -1, 6
Let -23*u**5/6 - 7*u**4/2 + 70*u**3/3 - 2*u**2 = 0. What is u?
-3, 0, 2/23, 2
Let 2*d**3/21 + 20*d**2/21 + 6*d/7 = 0. Calculate d.
-9, -1, 0
Factor 4*f**4 + 20*f**3 - 28*f**2 - 20*f + 24.
4*(f - 1)**2*(f + 1)*(f + 6)
Factor 2*r**4/5 - 22*r**3/5.
2*r**3*(r - 11)/5
Factor -2*w**4/7 - 4*w**3 - 72*w**2/7 + 432*w/7 + 1728/7.
-2*(w - 4)*(w + 6)**3/7
Suppose -30*y**3 + 1558*y**2/13 + 8*y/13 = 0. Calculate y.
-1/195, 0, 4
Suppose -3*x**4 + 1332*x**3 - 221778*x**2 + 16411572*x - 455421123 = 0. What is x?
111
Factor l**5 + 5*l**4 - 17*l**3 - 93*l**2 + 72*l + 432.
(l - 3)**2*(l + 3)*(l + 4)**2
Factor 3*r**4 - 11712*r**3 + 17146368*r**2 - 11156570112*r + 2722203107328.
3*(r - 976)**4
Let -3*m**2 - 2526*m - 531723 = 0. What is m?
-421
Factor 2500*r**4 + 1338000*r**3 + 268536600*r**2 + 23953464720*r + 801243394884.
4*(5*r + 669)**4
Let -k**3 - 24*k**2 + 79*k - 54 = 0. Calculate k.
-27, 1, 2
Solve -8*g**5 + 36*g**4 + 44*g**3 - 92*g**2 - 132*g - 40 = 0.
-1, -1/2, 2, 5
Factor 12*c**2 - 2092*c + 696.
4*(c - 174)*(3*c - 1)
Factor -4*u**4/9 + 24*u**3 - 4324*u**2/9 + 4224*u - 123904/9.
-4*(u - 16)**2*(u - 11)**2/9
Suppose 4*h**3 - 2344*h**2 - 2348*h = 0. What is h?
-1, 0, 587
Find z, given that 2*z**5/7 + 8*z**4/7 + 8*z**3/7 = 0.
-2, 0
Determine k, given that -2*k**2 + 14*k + 3256 = 0.
-37, 44
Let -o**5 - 15*o**4 - 57*o**3 - 73*o**2 - 30*o = 0. Calculate o.
-10, -3, -1, 0
Suppose -5*z**3 - 15*z**2 - 15*z - 5 = 0. Calculate z.
-1
Determine r, given that 6*r**4 + 27*r**3 + 18*r**2 - 33*r - 18 = 0.
-3, -2, -1/2, 1
Determine h, given that -3*h**3/5 + 231*h**2/5 - 453*h/5 + 45 = 0.
1, 75
Factor 2*s**3 + 498*s**2 + 30240*s - 95256.
2*(s - 3)*(s + 126)**2
Factor -r**2/4 + 1023*r/4 - 1021/2.
-(r - 1021)*(r - 2)/4
Determine l, given that -2*l**5 - 823*l**4 - 126896*l**3 - 8678162*l**2 - 220730854*l + 112550881 = 0.
-103, 1/2
Factor -3*j**3 + 642*j**2.
-3*j**2*(j - 214)
Find s such that 2*s**2 - 56*s + 342 = 0.
9, 19
Find y, given that -3*y**4 - 35*y**3/2 - 73*y**2/2 - 32*y - 10 = 0.
-2, -1, -5/6
Factor -4*s**4 + 48*s**3 + 56*s**2 - 48*s - 52.
-4*(s - 13)*(s - 1)*(s + 1)**2
Factor 40*k**2 + 2801*k + 70.
(k + 70)*(40*k + 1)
Suppose -3*r**2 - 21*r - 30 = 0. What is r?
-5, -2
Factor o**5/6 - o**4 - 14*o**3/3 + 51*o**2 - 279*o/2 + 126.
(o - 4)*(o - 3)**3*(o + 7)/6
Find u such that -3*u**2/2 - 114*u - 657/2 = 0.
-73, -3
Factor -l**2 + 15*l.
-l*(l - 15)
Let 4*h**5/5 - 12*h**4/5 - 36*h**3/5 - 4*h**2 = 0. What is h?
-1, 0, 5
Suppose 2*h**3/5 + 24*h**2/5 + 42*h/5 + 4 = 0. Calculate h.
-10, -1
Factor 2*i**4/3 - 26*i**3/3 + 8*i**2.
2*i**2*(i - 12)*(i - 1)/3
Let -12*v**5 + 9*v**4 + 87*v**3 + 9*v**2 - 75*v - 18 = 0. Calculate v.
-2, -1, -1/4, 1, 3
Solve -4*v**3 - 60*v**2 - 104*v = 0.
-13, -2, 0
Let -2*m**4 + 2*m**3 + 2*m**2 - 2*m = 0. Calculate m.
-1, 0, 1
Solve j**2/8 - 25*j/8 + 77/4 = 0 for j.
11, 14
Suppose -4*p**4 + 8*p**3 + 3168*p**2 + 45496*p + 186340 = 0. Calculate p.
-11, 35
Factor 2*m**4/7 - 6*m**2/7 + 4*m/7.
2*m*(m - 1)**2*(m + 2)/7
Factor 25*v**2 - 840*v - 340.
5*(v - 34)*(5*v + 2)
Suppose 3*v**3 + 9*v**2 + 6*v = 0. Calculate v.
-2, -1, 0
Factor 2*f**4 - 4*f**3 - 6*f**2.
2*f**2*(f - 3)*(f + 1)
Factor 2*i**3/7 + 110*i**2 + 3056*i/7 + 3048/7.
2*(i + 2)**2*(i + 381)/7
Find b, given that b**2/4 + 91*b/2 + 90 = 0.
-180, -2
Suppose -101194696*u**3/5 + 651468*u**2/5 - 1398*u/5 + 1/5 = 0. What is u?
1/466
Factor 6*o**3 - 788*o**2/3 - 2714*o/3 - 188.
2*(o - 47)*(o + 3)*(9*o + 2)/3
Factor -8*l**2 + 7452*l + 3728.
-4*(l - 932)*(2*l + 1)
Factor y**3 - 131*y**2.
y**2*(y - 131)
Factor -h**4 - 1400*h**3 - 488598*h**2 + 981400*h - 491401.
-(h - 1)**2*(h + 701)**2
Suppose 2*w**4/5 - 22*w**3/5 + 12*w**2 = 0. Calculate w.
0, 5, 6
Suppose n**3 - 1031*n**2 + 266255*n - 265225 = 0. Calculate n.
1, 515
Factor -d**4 + 11*d**3 + 25*d**2 + 13*d.
-d*(d - 13)*(d + 1)**2
Find z such that 10*z**5/9 + 94*z**4/9 + 326*z**3/9 + 506*z**2/9 + 112*z/3 + 8 = 0.
-3, -2, -1, -2/5
Factor -5*f**3 + 7450*f**2 - 7445*f.
-5*f*(f - 1489)*(f - 1)
Suppose 3*l**2/5 - 5154*l/5 + 2213643/5 = 0. What is l?
859
Find k, given that 5*k**5/3 + 100*k**4/3 + 100*k**3/3 - 6400*k**2/3 - 8000*k - 7680 = 0.
-12, -2, 8
Factor -2*t**4/3 + 4*t**3/3 + 2*t**2/3 - 4*t/3.
-2*t*(t - 2)*(t - 1)*(t + 1)/3
Factor 6*v**4 - 3*v**3 - 9*v**2 + 3*v + 3.
3*(v - 1)**2*(v + 1)*(2*v + 1)
What is k in -2*k**4/7 - 10*k**3 - 116*k**2/7 + 528*k/7 = 0?
-33, -4, 0, 2
Determine g, given that 4*g**2 - 576*g + 20736 = 0.
72
Factor -n**4/6 + 49*