
-1/2, 0, 2/3, 4
Factor -3*s**2 - 12537*s/4 + 3135/4.
-3*(s + 1045)*(4*s - 1)/4
Let 14*d**4/3 + 220*d**3/3 + 146*d**2/3 - 20*d = 0. What is d?
-15, -1, 0, 2/7
Factor -288*s**4 + 56*s**3 + 4*s**2.
-4*s**2*(4*s - 1)*(18*s + 1)
Factor 5*t**3 + 45*t**2 - 200*t - 240.
5*(t - 4)*(t + 1)*(t + 12)
Let -2*x**3/11 - 172*x**2/11 + 898*x/11 - 1092/11 = 0. Calculate x.
-91, 2, 3
Factor q**2/4 - 149*q/4 + 37.
(q - 148)*(q - 1)/4
Factor u**2 - 1834*u + 840889.
(u - 917)**2
Let -6*x**3 + 14373*x**2 - 21540*x - 14364 = 0. Calculate x.
-1/2, 2, 2394
Suppose 55*a**3 - 450*a**2 + 465*a - 70 = 0. Calculate a.
2/11, 1, 7
Let 98*p**4/11 + 5936*p**3/11 + 20126*p**2/11 + 10056*p/11 + 1368/11 = 0. Calculate p.
-57, -3, -2/7
What is o in o**2/4 + 19*o/2 + 361/4 = 0?
-19
Let -5*z**2 - 30*z - 25 = 0. Calculate z.
-5, -1
Suppose 6*g**3 - 453*g**2/7 - 15*g + 66/7 = 0. What is g?
-1/2, 2/7, 11
Factor -f**5/7 + 142*f**4/7 - 6621*f**3/7 + 96336*f**2/7 + 34560*f - 331776/7.
-(f - 48)**3*(f - 1)*(f + 3)/7
Let -b**3/6 - 59*b**2/6 - 455*b/6 + 13475/6 = 0. What is b?
-35, 11
Solve 4*c**3/5 + 332*c**2/5 + 192*c = 0.
-80, -3, 0
Solve -2*o**3 - 22*o**2/3 + 16*o + 40/3 = 0 for o.
-5, -2/3, 2
Solve 5*b**3 - 4095*b**2 - 12330*b = 0.
-3, 0, 822
Factor -3*z**3 + 531*z**2 - 31329*z + 616137.
-3*(z - 59)**3
Let -13*z**4 - 431*z**3 - 885*z**2 - 529*z - 62 = 0. What is z?
-31, -1, -2/13
Solve -80*k**3 - 372*k**2 - 216*k - 32 = 0.
-4, -2/5, -1/4
Determine n, given that -n**2/2 - 653*n - 426409/2 = 0.
-653
Factor -6*k**3 - 4*k**2 + 74*k - 24.
-2*(k - 3)*(k + 4)*(3*k - 1)
Let -o**4/6 - o**3/6 + 5*o**2/6 - o/2 = 0. Calculate o.
-3, 0, 1
Factor -4*b**3 + 32*b**2 + 36*b.
-4*b*(b - 9)*(b + 1)
What is d in 2*d**2/9 + 812*d/9 + 82418/9 = 0?
-203
What is y in -15*y**5 + 200*y**4 + 370*y**3 + 80*y**2 - 75*y = 0?
-1, 0, 1/3, 15
What is r in r**2/4 + 87*r/4 + 351/2 = 0?
-78, -9
What is r in 2*r**4/5 + 62*r**3/5 + 674*r**2/5 + 594*r + 4356/5 = 0?
-11, -6, -3
Suppose -s**5 + 60*s**4 - 382*s**3 - 15540*s**2 - 67081*s = 0. Calculate s.
-7, 0, 37
Factor 2*y**2/3 + 2316*y + 2011446.
2*(y + 1737)**2/3
Factor 2*i**2 + 816*i + 83232.
2*(i + 204)**2
Factor 5*f**2 + 155*f + 540.
5*(f + 4)*(f + 27)
Determine w so that -3*w**5 - 66*w**4 - 207*w**3 + 1716*w**2 - 2028*w = 0.
-13, 0, 2
Let 2*s**3/7 - 18*s**2/7 - 20*s/7 = 0. What is s?
-1, 0, 10
Factor -b**3 - 164*b**2.
-b**2*(b + 164)
Solve 18*y**4 - 4720*y**3 + 309946*y**2 - 68644*y = 0.
0, 2/9, 131
Let -5*a**5 + 155*a**4 - 1410*a**3 + 3220*a**2 - 1960*a = 0. Calculate a.
0, 1, 2, 14
Find p, given that -21*p**4 + 615*p**3 - 6033*p**2 + 20385*p - 5346 = 0.
2/7, 9, 11
Factor -n**2/5 + 8*n/5.
-n*(n - 8)/5
Let -4*y**3/3 - 152*y**2 - 5776*y - 219488/3 = 0. Calculate y.
-38
Solve 3*g**5/7 + 279*g**4/7 - 3*g**3/7 - 279*g**2/7 = 0.
-93, -1, 0, 1
Factor 6*m**3 + 17*m**2/4 - 13*m/4 - 3/2.
(m + 1)*(3*m - 2)*(8*m + 3)/4
Determine g so that g**4/7 + 10*g**3/7 + 36*g**2/7 + 54*g/7 + 27/7 = 0.
-3, -1
Suppose -3*x**4/4 - 669*x**3/2 - 149187*x**2/4 = 0. Calculate x.
-223, 0
Factor -35*b**2 - 230*b + 105.
-5*(b + 7)*(7*b - 3)
Solve -4*h**4 - 28*h**3 + 76*h**2 + 28*h - 72 = 0.
-9, -1, 1, 2
Solve p**4/4 - 5*p**3/2 + 9*p**2/4 = 0 for p.
0, 1, 9
Solve -69*o**2/8 - 33*o/4 + 3/8 = 0.
-1, 1/23
Factor -6*s**2/11 - 326*s/11 + 20.
-2*(s + 55)*(3*s - 2)/11
Let 5*v**2 - 55*v - 60 = 0. Calculate v.
-1, 12
Suppose m**5 - 89*m**4 + 2107*m**3 - 5543*m**2 - 344*m + 7396 = 0. What is m?
-1, 2, 43
Factor 2*z**3/11 - 46*z**2/11.
2*z**2*(z - 23)/11
Find v, given that -3*v**4/7 - 3*v**3/7 + 9*v**2/7 + 15*v/7 + 6/7 = 0.
-1, 2
Factor 3*n**3 + 360*n**2 - 1503*n - 1860.
3*(n - 5)*(n + 1)*(n + 124)
Determine d, given that -52*d**5/5 - 122*d**4/5 + 24*d**3 + 262*d**2/5 - 136*d/5 - 72/5 = 0.
-2, -9/26, 1
Determine h so that -5*h**4 - 10*h**3 + 120*h**2 = 0.
-6, 0, 4
Factor 153*v**4/2 - 457*v**3/2 + 453*v**2/2 - 147*v/2 - 1.
(v - 1)**3*(153*v + 2)/2
Factor w**2 - 16*w + 39.
(w - 13)*(w - 3)
Let 18*l**4 + 36*l**3 + 10*l**2 = 0. What is l?
-5/3, -1/3, 0
Determine x, given that 3*x**4 - 39*x**3 + 126*x**2 + 96*x - 672 = 0.
-2, 4, 7
Factor r**3/6 + 17*r**2 - 104*r/3.
r*(r - 2)*(r + 104)/6
Factor -13*s**3/2 + 6*s**2 + s/2.
-s*(s - 1)*(13*s + 1)/2
Factor -x**2/5 - 1706*x/5 - 727609/5.
-(x + 853)**2/5
Determine m, given that 2*m**5 + 26*m**4 - 168*m**3 + 224*m**2 + 128*m - 288 = 0.
-18, -1, 2
Let 4*b**3/5 - 152*b**2/5 - 484*b/5 - 328/5 = 0. Calculate b.
-2, -1, 41
Factor 10*j**2/3 + 328*j/3 - 22.
2*(j + 33)*(5*j - 1)/3
Determine b so that 4*b**3/5 - 28*b**2 - 2308*b/5 + 2444/5 = 0.
-13, 1, 47
Factor 2*g**4/7 - 92*g**3/7 - 2*g**2/7 + 92*g/7.
2*g*(g - 46)*(g - 1)*(g + 1)/7
Factor 2*c**2/3 - 196*c/3 + 1274/3.
2*(c - 91)*(c - 7)/3
Suppose k**5/4 + 35*k**4/4 - 73*k**3/4 + 37*k**2/4 = 0. Calculate k.
-37, 0, 1
Find s such that -5*s**3 - 235*s**2 - 2875*s - 2645 = 0.
-23, -1
Factor -z**4/6 - 5*z**3/3 + 2*z**2/3 + 20*z/3.
-z*(z - 2)*(z + 2)*(z + 10)/6
Factor -3*o**5 + 9*o**4 + 66*o**3 + 114*o**2 + 81*o + 21.
-3*(o - 7)*(o + 1)**4
Suppose -18*d**5/7 + 300*d**4/7 - 1634*d**3/7 + 3296*d**2/7 - 1696*d/7 + 256/7 = 0. What is d?
1/3, 4, 8
Factor -p**4 - 356*p**3 - 32388*p**2 - 125312*p - 123904.
-(p + 2)**2*(p + 176)**2
Solve 3*a**2/4 + 357*a/2 + 42483/4 = 0 for a.
-119
Factor 686*p**5 - 7448*p**4 + 17024*p**3 - 11104*p**2 + 2848*p - 256.
2*(p - 8)*(p - 2)*(7*p - 2)**3
Find z such that 8*z**5/3 - 22*z**4/3 - 38*z**3/3 - 8*z**2/3 = 0.
-1, -1/4, 0, 4
Solve 2*i**2/9 - 2324*i/9 + 675122/9 = 0 for i.
581
Find q, given that -2*q**5/5 + 22*q**4/5 + 6*q**3/5 - 14*q**2 + 44*q/5 = 0.
-2, 0, 1, 11
Determine k, given that -k**4/5 + k**3/5 = 0.
0, 1
Solve 42*c**4/5 + 78*c**3 + 1074*c**2/5 + 906*c/5 + 36 = 0 for c.
-5, -3, -1, -2/7
Factor -i**3/2 - 19*i**2 - 88*i + 256.
-(i - 2)*(i + 8)*(i + 32)/2
Factor 3*m**4/2 + 9*m**3 + 33*m**2/2 + 9*m.
3*m*(m + 1)*(m + 2)*(m + 3)/2
Determine v so that -v**4/7 - 4*v**3/7 + 19*v**2/7 - 2*v = 0.
-7, 0, 1, 2
Suppose 14*v**3 + 1508*v**2 + 2536*v - 848 = 0. What is v?
-106, -2, 2/7
Determine a so that a**2/2 - 31*a/2 + 42 = 0.
3, 28
Factor 2*c**5 + 14*c**4 - 18*c**3 - 14*c**2 + 16*c.
2*c*(c - 1)**2*(c + 1)*(c + 8)
Suppose 2*s**2/7 + 9440*s/7 + 11139200/7 = 0. What is s?
-2360
Solve 28*y**5 + 256*y**4 + 760*y**3 + 1024*y**2 + 652*y + 160 = 0 for y.
-5, -8/7, -1
Factor 4*c**5/7 + 2260*c**4/7 + 320352*c**3/7 + 318096*c**2/7.
4*c**2*(c + 1)*(c + 282)**2/7
Factor -l**3/2 - 41*l**2/2 - 399*l/2 + 441/2.
-(l - 1)*(l + 21)**2/2
Factor -147*m**5/2 + 56*m**4 + 52*m**3/3 - 32*m**2/3 - 8*m/3.
-m*(3*m - 2)**2*(7*m + 2)**2/6
Factor 2*k**4/5 - 106*k**3/5 - 336*k**2/5.
2*k**2*(k - 56)*(k + 3)/5
Find j such that -10*j**3 + 205*j**2 - 880*j - 1815 = 0.
-3/2, 11
Factor 5*w**2 + 25*w.
5*w*(w + 5)
Determine o so that -o**5/5 - 3*o**4/5 + o**3/5 + 3*o**2/5 = 0.
-3, -1, 0, 1
Let -4*z**5/7 - 52*z**4/7 + 72*z**3/7 + 3888*z**2/7 + 19872*z/7 + 31104/7 = 0. What is z?
-6, -4, 9
Suppose z**3 + 22*z**2 - 23*z = 0. Calculate z.
-23, 0, 1
Factor 5*o**3 + 5*o**2 - 5225*o - 66785.
5*(o - 37)*(o + 19)**2
Factor 2*z**3/5 + 218*z**2/5 - 896*z/5 + 904/5.
2*(z - 2)**2*(z + 113)/5
Determine b so that -b**4 - 4*b**3 + 16*b + 16 = 0.
-2, 2
Factor -56*a**2 - 314*a - 360.
-2*(a + 4)*(28*a + 45)
Factor -2*g**3 - 18*g**2 + 170*g - 150.
-2*(g - 5)*(g - 1)*(g + 15)
Let -d**2/11 + 736*d/11 - 135424/11 = 0. What is d?
368
What is i in -3*i**4 - 33*i**3 + 120*i**2 - 84*i = 0?
-14, 0, 1, 2
Let 5*p**4 - 100*p**3 + 640*p**2 - 1520*p + 1200 = 0. What is p?
2, 6, 10
Suppose 2*v**4 - 20*v**2 + 18 = 0. Calculate v.
-3, -1, 1, 3
Find b, given that b**4 + 8*b**3 - 51*b**2 - 518*b - 784 = 0.
-7, -2, 8
Find c such that 4*c**4 + 212*c**3 - 216*c**2 = 0.
-54, 0, 1
Factor 3*n**4/10 - 7*n**3/10 + 2*n/5.
n*(n - 2)*(n - 1)*(3*n + 2)/10
Factor -s**3/9 + 38*s**2/9 - 107*s/9 + 70/9.
-(s - 35)*(s - 2)*(s - 1)/9
Solve -y**3/2 - 365*y**2/2 - 543*y = 0 for y.
-362, -3, 0
Suppose -2*k**5/19 + 16*k**4/19 + 142*k**3/19 + 340*k**2/19 + 328*k/19 + 112/19 = 0. Calculate k.
-2, -1, 14
Factor -m**2/2 - 413*m - 170569/2.
-(m + 413)**2/2
Factor g**2/7 + 15*g/7.
g*(g + 15)/7
Factor q**3/5 - 34*q**2/5 - 152*q/5.
q*(q - 38)*(q + 4)/5
Factor 3*n**2 - 1074*n - 1077.
3*(n - 359)*(n + 1)
Factor 2*w**5/5 - 248*w**4/5 + 10082*w**3/5 - 25452*w**2 - 285768*w/5 - 148176/5.
2*(w - 42)**3*(w + 1)**2/5
Factor h**4