 j in -6*j**5/5 + 34*j**4/5 - 10*j**3 - 2*j**2 + 56*j/5 - 24/5 = 0?
-1, 2/3, 1, 2, 3
Determine o, given that 3*o**2 - 5*o/3 = 0.
0, 5/9
Determine h so that -2*h**2 + 16*h - 32 = 0.
4
Factor 3*g**3 - 7050*g**2 + 28164*g - 28152.
3*(g - 2346)*(g - 2)**2
Let -3*u**3/5 - 1068*u**2/5 - 19635*u - 110250 = 0. What is u?
-175, -6
Let -t**2/7 - 314*t/7 + 951/7 = 0. What is t?
-317, 3
Factor 196*d**4/5 - 56*d**3 - 12*d**2/5 + 16*d + 16/5.
4*(d - 1)**2*(7*d + 2)**2/5
Find l such that l**3/5 - 9*l**2/5 - 76*l/5 + 84/5 = 0.
-6, 1, 14
Determine k so that k**5 - 13*k**4 + 55*k**3 - 103*k**2 + 88*k - 28 = 0.
1, 2, 7
Factor 44*f**3 + 520*f**2 + 1488*f - 288.
4*(f + 6)**2*(11*f - 2)
Find w such that 3*w**2/4 - 33*w/4 - 39/2 = 0.
-2, 13
Suppose -2*c**4/7 + 6*c**2/7 - 4*c/7 = 0. What is c?
-2, 0, 1
Let 3*b**3/7 - 201*b**2/7 - 624*b/7 - 60 = 0. Calculate b.
-2, -1, 70
Let -3*v**5/2 + 55*v**4/2 + 47*v**3/2 - 159*v**2/2 - 112*v - 38 = 0. Calculate v.
-1, -2/3, 2, 19
Let 16*s**2 + 12*s = 0. Calculate s.
-3/4, 0
Determine f, given that -4*f**2 + 544*f - 1596 = 0.
3, 133
Factor 2*i**5 - 2*i**4 - 34*i**3 + 42*i**2 + 72*i.
2*i*(i - 3)**2*(i + 1)*(i + 4)
Factor -2*q**5/9 + 1342*q**4/9 - 225790*q**3/9 + 224450*q**2/9.
-2*q**2*(q - 335)**2*(q - 1)/9
Let u**3/2 + 109*u**2/2 = 0. What is u?
-109, 0
Determine n, given that -12*n**4/5 + 2356*n**3/5 + 316*n**2 - 788*n/5 = 0.
-1, 0, 1/3, 197
Determine p so that p**5 + 16*p**4 + 35*p**3 - 64*p**2 - 156*p = 0.
-13, -3, -2, 0, 2
Factor 4*p**2 - 10472*p/3 - 13984/3.
4*(p - 874)*(3*p + 4)/3
What is b in 2*b**3/9 + 22*b**2 + 388*b/9 = 0?
-97, -2, 0
What is u in -4*u**5 + 12*u**4 + 24*u**3 - 32*u**2 = 0?
-2, 0, 1, 4
Find n, given that -14*n**5 + 220*n**4 - 1028*n**3 + 1256*n**2 - 238*n - 196 = 0.
-2/7, 1, 7
Factor 2*r**3/7 - 64*r**2/7 + 122*r/7 - 60/7.
2*(r - 30)*(r - 1)**2/7
Factor -w**3 + 15*w**2 + 16*w.
-w*(w - 16)*(w + 1)
Factor -3*j**3/5 + 29808*j**2/5 - 98724096*j/5 + 108991401984/5.
-3*(j - 3312)**3/5
Suppose -867*c**5/4 + 53091*c**4/4 - 791889*c**3/4 - 649059*c**2/4 + 46314*c - 2883 = 0. What is c?
-1, 2/17, 31
Solve 2*c**4/21 + 38*c**3/21 + 184*c**2/21 + 160*c/21 - 128/7 = 0.
-12, -4, 1
Suppose -2*v**4/5 + 101*v**3/5 + 31*v**2 + 52*v/5 = 0. Calculate v.
-1, -1/2, 0, 52
Find p such that 3*p**4/4 + 669*p**3/4 + 19143*p**2/2 + 27555*p + 18150 = 0.
-110, -2, -1
Suppose 2*c**4 - 92*c**3 + 90*c**2 = 0. What is c?
0, 1, 45
Find p such that -p**3/4 + 15*p**2/4 - 17*p + 21 = 0.
2, 6, 7
What is b in 5*b**4/3 + 11*b**3/3 + b**2 - 7*b/3 - 4/3 = 0?
-1, 4/5
Determine r, given that -3*r**2 - 3492*r - 1016172 = 0.
-582
Factor -36*j**3 - 1968*j**2 - 17920*j - 45056.
-4*(j + 44)*(3*j + 16)**2
Factor 2*i**2/11 + 652*i/11.
2*i*(i + 326)/11
Let -118*u**2/5 + 124*u/5 - 6/5 = 0. Calculate u.
3/59, 1
Factor 4*t**2 + 3680*t + 846400.
4*(t + 460)**2
Suppose m**3/7 + 37*m**2/7 + 166*m/7 + 192/7 = 0. Calculate m.
-32, -3, -2
Factor 3*k**2 - 180*k - 768.
3*(k - 64)*(k + 4)
Let g**4/4 - 23*g**3/4 - 87*g**2/4 + 239*g/4 - 65/2 = 0. Calculate g.
-5, 1, 26
Solve 5*h**5/6 + 20*h**4 + 415*h**3/3 + 220*h**2 + 605*h/6 = 0.
-11, -1, 0
Suppose -4*l**5 + 56*l**4 - 168*l**3 - 416*l**2 + 1708*l - 1176 = 0. Calculate l.
-3, 1, 2, 7
Factor -r**3/2 - 349*r**2 - 2779*r/2 - 1041.
-(r + 1)*(r + 3)*(r + 694)/2
Let -2*h**3/5 + 4*h**2/5 + 6*h/5 = 0. Calculate h.
-1, 0, 3
Factor -h**3 - 85*h**2 - 394*h + 480.
-(h - 1)*(h + 6)*(h + 80)
Factor 3*x**2/2 + 153*x/8 + 27/2.
3*(x + 12)*(4*x + 3)/8
Factor -5*i**4 + 300*i**3 - 2430*i**2 + 7020*i - 6885.
-5*(i - 51)*(i - 3)**3
Solve -2*w**4/7 + 138*w**3/7 - 262*w**2/7 - 402*w/7 = 0.
-1, 0, 3, 67
Suppose 25*f**3/2 - 23*f**2/2 - 26*f - 2 = 0. What is f?
-1, -2/25, 2
Factor 2*q**3 - 354*q**2 + 5886*q - 25758.
2*(q - 159)*(q - 9)**2
Factor a**4/5 + a**3/5.
a**3*(a + 1)/5
Factor 14*v**4/9 - 4840*v**3/9 - 1384*v**2/9.
2*v**2*(v - 346)*(7*v + 2)/9
Let 8*j**3 + 49*j**2 + 70*j + 8 = 0. What is j?
-4, -2, -1/8
Find w such that -50*w**4 + 30*w**3 + 56*w**2 - 24*w = 0.
-1, 0, 2/5, 6/5
Factor -5*c**3 + 85*c**2 - 260*c.
-5*c*(c - 13)*(c - 4)
Factor -l**5 + 2*l**4 + 11*l**3 - 12*l**2 - 36*l.
-l*(l - 3)**2*(l + 2)**2
Factor -q**3/4 - 33*q**2/4 - 123*q/2 - 92.
-(q + 2)*(q + 8)*(q + 23)/4
Factor -2*w**2/19 - 244*w/19 - 7442/19.
-2*(w + 61)**2/19
Find w, given that -3*w**4/4 + 513*w**3/8 + 273*w**2/8 - 162*w + 129/2 = 0.
-2, 1/2, 1, 86
Let -10*v**2/7 - 46*v/7 + 20/7 = 0. What is v?
-5, 2/5
What is b in -2*b**3 + 44*b**2/5 + 434*b/5 - 36 = 0?
-5, 2/5, 9
Factor b**4/5 + 21*b**3/5 + 25*b**2 + 291*b/5 + 234/5.
(b + 2)*(b + 3)**2*(b + 13)/5
Suppose -18*s**3 - 129*s**2 + 1059*s + 180 = 0. What is s?
-12, -1/6, 5
Determine j, given that -4*j**3 + 128*j**2 - 916*j + 792 = 0.
1, 9, 22
Suppose h**2/5 - 249*h/5 - 1012/5 = 0. Calculate h.
-4, 253
Factor -4*s**2/3 + 1528*s/3 - 3040/3.
-4*(s - 380)*(s - 2)/3
Solve -c**2 - 19*c + 66 = 0 for c.
-22, 3
Factor -2*l**5/3 - 20*l**4/9 - 20*l**3/9 + 10*l/9 + 4/9.
-2*(l + 1)**4*(3*l - 2)/9
Factor 5*x**2 + 390*x.
5*x*(x + 78)
Factor s**5/7 - 8*s**4/7 + 6*s**3/7 + 8*s**2/7 - s.
s*(s - 7)*(s - 1)**2*(s + 1)/7
Determine f so that 64*f**4 - 32*f**3 - 156*f**2 - 68*f - 8 = 0.
-1, -1/4, 2
Factor 4*x**2/5 - 64*x/5 - 144/5.
4*(x - 18)*(x + 2)/5
Determine p, given that 2*p**3 - 400*p**2/11 - 808*p/11 + 160/11 = 0.
-2, 2/11, 20
Let -3*h**4 + 6*h**3 - 3*h**2 = 0. What is h?
0, 1
Find a such that -4*a**5 - 8*a**4 + 8*a**2 + 4*a = 0.
-1, 0, 1
Factor j**2/6 - 5*j/6.
j*(j - 5)/6
Find t, given that 5*t**2/3 + 2315*t/3 - 1550 = 0.
-465, 2
Factor -2*p**3 - 528*p**2 - 36864*p - 262144.
-2*(p + 8)*(p + 128)**2
Factor -h**4/12 + 7*h**3/6 - 3*h**2 + 17*h/6 - 11/12.
-(h - 11)*(h - 1)**3/12
Factor 3*i**5/4 - 315*i**4/4 + 78*i**3.
3*i**3*(i - 104)*(i - 1)/4
Determine u so that 20*u**4/11 - 186*u**3/11 - 146*u**2/11 + 60*u/11 = 0.
-1, 0, 3/10, 10
Solve 68*u**3 - 72*u**2 + 21*u - 1 = 0.
1/17, 1/2
Factor x**2/5 - 11*x + 156/5.
(x - 52)*(x - 3)/5
Determine l so that -206045*l**2/4 + 19285*l/2 - 1805/4 = 0.
19/203
Factor -5*i**3/9 + 7*i**2/3 - 10*i/9 - 8/3.
-(i - 3)*(i - 2)*(5*i + 4)/9
Factor -2*s**2/5 - 132*s - 10890.
-2*(s + 165)**2/5
Factor -2*n**3/5 + 42*n**2/5 - 196*n/5.
-2*n*(n - 14)*(n - 7)/5
Solve -122*h**3/9 + 484*h**2/9 - 472*h/9 - 16/9 = 0 for h.
-2/61, 2
Determine f, given that -4*f**3 + 12*f + 8 = 0.
-1, 2
Factor -73*m**3/2 - 3*m**2 + 146*m + 12.
-(m - 2)*(m + 2)*(73*m + 6)/2
Solve 722*j**2 + 2128*j + 1568 = 0 for j.
-28/19
Let -6*k**3/5 + 18*k**2 - 288*k/5 - 384/5 = 0. Calculate k.
-1, 8
Suppose u**3/8 - u**2/2 = 0. What is u?
0, 4
Factor -3*a**3 - 159*a**2 + 327*a - 165.
-3*(a - 1)**2*(a + 55)
Factor y**4 + 14*y**3 + 37*y**2 - 48*y - 180.
(y - 2)*(y + 3)**2*(y + 10)
Suppose 7*b**5/3 + 289*b**4/3 + 207*b**3 - 133*b**2/3 - 628*b/3 - 52 = 0. Calculate b.
-39, -2, -1, -2/7, 1
Let 4*d**3 + 856*d**2 + 45796*d = 0. What is d?
-107, 0
Find h, given that 5*h**5 + 10*h**4 - 35*h**3 - 40*h**2 + 60*h = 0.
-3, -2, 0, 1, 2
Factor 3*v**4 - 126*v**3 + 1320*v**2 + 126*v - 1323.
3*(v - 21)**2*(v - 1)*(v + 1)
Factor z**3/3 + 1463*z**2/3 + 178120*z - 178608.
(z - 1)*(z + 732)**2/3
Solve -4*b**3 - 588*b**2 + 3016*b - 3648 = 0 for b.
-152, 2, 3
Solve 66*o**2 - 62*o - 4 = 0 for o.
-2/33, 1
Factor -2*a**2/5 + 72*a + 362/5.
-2*(a - 181)*(a + 1)/5
Solve 4*s**3 - 44*s**2 + 136*s - 96 = 0.
1, 4, 6
Factor 6*k**3/5 - 6*k**2/5 - 24*k.
6*k*(k - 5)*(k + 4)/5
Solve -n**4/2 + 3*n**3 + 78*n**2 + 253*n + 357/2 = 0.
-7, -3, -1, 17
Factor 3*c**3/7 + 1686*c**2/7 - 5097*c/7 - 6780/7.
3*(c - 4)*(c + 1)*(c + 565)/7
Solve 2*l**5/7 - 1268*l**4/7 + 198426*l**3/7 + 808984*l**2/7 + 814088*l/7 = 0 for l.
-2, 0, 319
Let -3*c**2 - 39*c - 108 = 0. What is c?
-9, -4
Let -3*w**2/4 + 309*w - 31827 = 0. What is w?
206
Factor -a**4/4 + 15*a**3/2 + 167*a**2/4 + 69*a + 35.
-(a - 35)*(a + 1)*(a + 2)**2/4
Let -3*a**3 + 2247*a**2 = 0. What is a?
0, 749
Factor 4*a**4 - 240*a**3 + 1132*a**2 - 1776*a + 880.
4*(a - 55)*(a - 2)**2*(a - 1)
Factor -4*r**2/9 + 164*r/9.
-4*r*(r - 41)/9
Factor -4*l**4 - 16*l**3 + 12*l**2 + 40*l - 32.
-4*(l - 1)**2*(l + 2)*(l + 4)
Suppose p**5/4 - 16*p**4 - 171*p**3/2 - 54*p**2 + 621*p/4 = 0. What is p?
-3, 0, 1, 69
What is z in 5*z**3 + 45*z**2 - 485*z - 525 = 0?
-15, -1, 7
Factor 2*y**4/7 - 136*y**3/7 - 60*y**2 - 424*y/7 - 142/7.
2*(y - 71)*(y + 1)**3/7
Determine i so that -5*i