- 3)*(g + 6)/9
Suppose 4*z**3/3 - 7*z**2/3 - 62*z/3 - 5 = 0. What is z?
-3, -1/4, 5
Find n such that n**3/4 + 5*n**2/2 = 0.
-10, 0
Find o, given that 90*o**2 + 185*o + 10 = 0.
-2, -1/18
Solve 5*l**2 + 275*l + 780 = 0.
-52, -3
Suppose -2*t**3 + 2*t**2 = 0. Calculate t.
0, 1
Let -w**4 + 18*w**3 - 33*w**2 + 16*w = 0. Calculate w.
0, 1, 16
Factor -2*f**2 - 822*f - 3256.
-2*(f + 4)*(f + 407)
Factor -y**3 - 18*y**2 - 81*y.
-y*(y + 9)**2
Let -2*z**4/3 - 338*z**3/3 - 16910*z**2/3 - 69250*z + 75000 = 0. Calculate z.
-75, -20, 1
Let -d**4/4 + 2*d**3 - 7*d**2/4 = 0. Calculate d.
0, 1, 7
Factor -2*w**5/11 - 2*w**4/11 + 4*w**3/11 + 4*w**2/11 - 2*w/11 - 2/11.
-2*(w - 1)**2*(w + 1)**3/11
Suppose 5*v**5 - 60*v**4 + 170*v**3 + 60*v**2 - 175*v = 0. What is v?
-1, 0, 1, 5, 7
Suppose -15*z**4 + 264*z**3 - 1512*z**2 + 2592*z + 1296 = 0. What is z?
-2/5, 6
Let 2*d**5 - 29*d**4/2 + 79*d**3/2 - 49*d**2 + 26*d - 4 = 0. What is d?
1/4, 1, 2
Solve -15*x**3 + 85*x**2 + 135*x + 35 = 0.
-1, -1/3, 7
Find u, given that -16*u**2/7 + 12*u/7 + 108/7 = 0.
-9/4, 3
Solve -u**3 - 2*u**2 - u = 0.
-1, 0
Factor -477*x**3 - 474*x**2 + 3*x.
-3*x*(x + 1)*(159*x - 1)
Factor 2*l**2/17 + 2460*l/17 + 756450/17.
2*(l + 615)**2/17
Factor -2*t**2/5 + 6*t/5 + 16.
-2*(t - 8)*(t + 5)/5
Let -2*f**2 + 308*f = 0. What is f?
0, 154
Factor 3*x**2 - 1458*x + 177147.
3*(x - 243)**2
Suppose 22*v**3/7 - 128*v**2/7 + 174*v/7 + 36/7 = 0. What is v?
-2/11, 3
Factor h**2/4 - 13*h/4 + 3.
(h - 12)*(h - 1)/4
Solve 5*v**2 + 2150*v + 4280 = 0 for v.
-428, -2
Determine c so that -2*c**3/7 - 250*c**2/7 - 1200*c - 36000/7 = 0.
-60, -5
Suppose 2*v**4/19 + 4*v**3 + 720*v**2/19 - 4*v - 38 = 0. What is v?
-19, -1, 1
Suppose 2*i**2 - 1228*i + 188498 = 0. What is i?
307
Factor -2*s**3/5 - 1144*s**2 - 4084074*s/5 + 8191044/5.
-2*(s - 2)*(s + 1431)**2/5
Determine p, given that 5*p**3 - 100*p**2 + 415*p + 520 = 0.
-1, 8, 13
Factor 2*i**2/13 - 452*i/13 + 25538/13.
2*(i - 113)**2/13
What is p in -2*p**4/7 + 2*p**3/7 + 144*p**2/7 = 0?
-8, 0, 9
Solve -5*r**2 - 70*r - 225 = 0 for r.
-9, -5
Factor -u**2/2 + 128*u - 8192.
-(u - 128)**2/2
Factor -g**4 - g**3 + 4*g**2 + 4*g.
-g*(g - 2)*(g + 1)*(g + 2)
Factor 3*s**3 - 6*s**2 - 9*s.
3*s*(s - 3)*(s + 1)
Let -12*i**4 + 68*i**3 + 692*i**2 + 172*i - 440 = 0. What is i?
-5, -1, 2/3, 11
Determine n so that 5*n**2 - 640*n - 645 = 0.
-1, 129
Factor -3*g**2/5 + 324*g/5 - 8748/5.
-3*(g - 54)**2/5
Solve -y**4 + 28*y**3 + 30*y**2 - 28*y - 29 = 0 for y.
-1, 1, 29
Solve -4*s**4 + 20*s**3 - 12*s**2 - 20*s + 16 = 0 for s.
-1, 1, 4
Find c such that c**3 + 11*c**2/4 + 5*c/2 + 3/4 = 0.
-1, -3/4
What is q in 5*q**2 - 145*q - 150 = 0?
-1, 30
Suppose -2*g**5/17 - 22*g**4/17 + 72*g**3/17 + 1696*g**2/17 + 7040*g/17 + 9216/17 = 0. Calculate g.
-8, -4, 9
Factor 81*v**3 + 75*v**2 - 6*v.
3*v*(v + 1)*(27*v - 2)
Determine s, given that s**2/5 + 13*s/5 - 14/5 = 0.
-14, 1
Factor v**5/8 + 13*v**4/4 + 63*v**3/2 + 135*v**2 + 216*v.
v*(v + 6)**3*(v + 8)/8
Solve -i**4/3 + 5*i**3/3 - i**2 - 5*i/3 + 4/3 = 0 for i.
-1, 1, 4
Solve -g**2/4 - 116*g + 465/4 = 0.
-465, 1
What is n in 5*n**3 - 100*n**2 = 0?
0, 20
Factor -2*m**4/3 + 16*m**3/3 - 26*m**2/3 + 4*m.
-2*m*(m - 6)*(m - 1)**2/3
Factor 3*l**3/4 - 123*l**2/2 + 711*l/4.
3*l*(l - 79)*(l - 3)/4
Determine j, given that -j**3 + 41*j**2 + 85*j + 43 = 0.
-1, 43
Find h, given that -110*h**5 - 215*h**4 + 340*h**3 + 425*h**2 - 460*h + 20 = 0.
-2, 1/22, 1
Solve -j**5/2 - 15*j**4/4 + j**3 + 33*j**2/2 - 37*j/2 + 21/4 = 0.
-7, -3, 1/2, 1
Suppose r**2/6 + 161*r + 77763/2 = 0. Calculate r.
-483
Let -k**4 - 205*k**3 = 0. Calculate k.
-205, 0
Let m**3/9 - m/9 = 0. What is m?
-1, 0, 1
Factor -z**2 - 3*z + 180.
-(z - 12)*(z + 15)
Suppose -2*y**5/9 + 26*y**3/9 + 32*y**2/9 - 8*y/3 - 32/9 = 0. Calculate y.
-2, -1, 1, 4
Let s**5 - 4*s**4 + 4*s**3 + 2*s**2 - 5*s + 2 = 0. What is s?
-1, 1, 2
Find p, given that 4*p**4 - 42992*p**3 + 115562488*p**2 - 230996016*p + 115476516 = 0.
1, 5373
Suppose 5*x**3 - 60*x**2 + 240*x - 320 = 0. What is x?
4
Let 4*n**2 - 16*n - 20 = 0. Calculate n.
-1, 5
Find v such that 4*v**4/3 + 24*v**3 + 244*v**2/3 + 96*v + 112/3 = 0.
-14, -2, -1
Factor -4*w**3 - 1740*w**2 - 188352*w + 190096.
-4*(w - 1)*(w + 218)**2
Factor 2*b**2/11 - 404*b/11 - 406/11.
2*(b - 203)*(b + 1)/11
Factor 9*u**4 + 92*u**3 + 272*u**2 + 272*u + 48.
(u + 2)**2*(u + 6)*(9*u + 2)
Factor 13*d**2 + 97*d + 42.
(d + 7)*(13*d + 6)
Suppose 3*c**5 - 251*c**4 - 597*c**3 - 429*c**2 - 86*c = 0. Calculate c.
-1, -1/3, 0, 86
Solve -c**5 + 9*c**4 + 18*c**3 - 130*c**2 - 273*c - 135 = 0 for c.
-3, -1, 5, 9
Factor -3*n**4/2 - 165*n**3/2 - 3393*n**2/2 - 30927*n/2 - 52728.
-3*(n + 13)**3*(n + 16)/2
Let -n**3/11 - 7*n**2/11 + 54*n/11 - 72/11 = 0. Calculate n.
-12, 2, 3
Suppose i**2/5 + 2271*i/5 - 2272/5 = 0. What is i?
-2272, 1
Factor l**2/6 + 11*l/2 + 133/3.
(l + 14)*(l + 19)/6
Solve -9*h**4 + 128*h**3 - 235*h**2 - 944*h + 220 = 0 for h.
-2, 2/9, 5, 11
Factor -5*w**4 + 7*w**3 + 8*w**2 - 4*w.
-w*(w - 2)*(w + 1)*(5*w - 2)
Factor 3*s**3/2 - 240*s**2 - 6*s + 960.
3*(s - 160)*(s - 2)*(s + 2)/2
Factor -3*h**3/7 - 447*h**2/7 + 12*h/7 + 1788/7.
-3*(h - 2)*(h + 2)*(h + 149)/7
Factor r**4/4 - 3*r**2/4 + r/2.
r*(r - 1)**2*(r + 2)/4
Factor 2*t**2/11 + 420*t/11 + 22050/11.
2*(t + 105)**2/11
Factor 5*l**4/2 + 15*l**3 + 30*l**2 + 20*l.
5*l*(l + 2)**3/2
Factor 3*u**5 + 36*u**4 + 96*u**3 - 384*u**2 - 2304*u - 3072.
3*(u - 4)*(u + 4)**4
Solve -6*w**5/11 + 38*w**4/11 - 6*w**3 + 42*w**2/11 - 8*w/11 = 0.
0, 1/3, 1, 4
Factor 5*c**5 - 35*c**4 + 80*c**3 - 60*c**2.
5*c**2*(c - 3)*(c - 2)**2
Factor -2*y**2/5 + 648*y/5 - 52488/5.
-2*(y - 162)**2/5
What is y in -y**5 - 23*y**4 - 151*y**3 - 197*y**2 + 152*y + 220 = 0?
-11, -10, -2, -1, 1
Let -3*a**2/5 + 327*a/5 - 252 = 0. What is a?
4, 105
Find a, given that -3*a**3/2 + 417*a**2/2 + 1080*a = 0.
-5, 0, 144
Factor -2*x**3/5 + 2*x**2/5 + 24*x + 216/5.
-2*(x - 9)*(x + 2)*(x + 6)/5
Factor 13*c**3/3 - 7*c**2/3.
c**2*(13*c - 7)/3
Suppose 2*x**2/5 + 32*x/5 - 594/5 = 0. Calculate x.
-27, 11
What is b in b**2 - 2805*b = 0?
0, 2805
Factor -o**4 - 86*o**3 - 2592*o**2 - 30618*o - 98415.
-(o + 5)*(o + 27)**3
Factor -2*z**3/15 - 188*z**2/5 - 13974*z/5 - 300304/15.
-2*(z + 8)*(z + 137)**2/15
Suppose 4*c**5/7 - 40*c**4/7 + 128*c**3/7 - 128*c**2/7 = 0. What is c?
0, 2, 4
Determine l, given that 2*l**5 - 1078*l**4 + 194396*l**3 - 11856244*l**2 + 23133602*l - 11470678 = 0.
1, 179
What is i in -2*i**2 + 540*i - 36450 = 0?
135
Factor -s**2 - 86*s - 1365.
-(s + 21)*(s + 65)
Factor w**3/3 - 4*w**2/3 + 5*w/3 - 2/3.
(w - 2)*(w - 1)**2/3
Factor 66603*s**2 + 16092*s + 972.
3*(149*s + 18)**2
Let -4*j**5 + 20*j**4 + 28*j**3 - 164*j**2 + 120*j = 0. Calculate j.
-3, 0, 1, 2, 5
Determine t, given that -t**2/6 - 7*t/3 - 8 = 0.
-8, -6
Factor x**3/8 + 5*x**2/2 + 37*x/8 + 9/4.
(x + 1)**2*(x + 18)/8
Factor 2*p**4 + 30*p**3 - 6*p**2 - 94*p - 60.
2*(p - 2)*(p + 1)**2*(p + 15)
Factor -50*v**2/3 + 1204*v/3 - 32.
-2*(v - 24)*(25*v - 2)/3
Factor -196*v**4 - 2240*v**3 + 1328*v**2 - 192*v.
-4*v*(v + 12)*(7*v - 2)**2
Solve 5*o**4 - 80*o**3 + 210*o**2 - 200*o + 65 = 0 for o.
1, 13
Factor -140*m**3 - 968*m**2 + 92*m + 56.
-4*(m + 7)*(5*m + 1)*(7*m - 2)
Factor 2*r**2 + 802*r - 804.
2*(r - 1)*(r + 402)
Factor y**3 - 245*y**2 - 493*y - 247.
(y - 247)*(y + 1)**2
Factor -2*p**3 + 86*p**2 + 272*p + 184.
-2*(p - 46)*(p + 1)*(p + 2)
Solve 2*u**3/3 + 286*u**2/3 + 1904*u/3 = 0 for u.
-136, -7, 0
Determine g so that -15*g**3 - 215*g**2 + 155*g + 75 = 0.
-15, -1/3, 1
Factor d**4/3 - 8*d**3 + 39*d**2 + 338*d/3.
d*(d - 13)**2*(d + 2)/3
Factor -3*o**3 - 648*o**2 - 7452*o - 22032.
-3*(o + 6)**2*(o + 204)
Suppose d**3 + 2592*d**2 + 1682205*d + 3354050 = 0. Calculate d.
-1295, -2
Suppose -2*g**2 - 2188*g - 598418 = 0. What is g?
-547
Solve -28*f**4/3 - 772*f**3 - 48700*f**2/3 - 10988*f + 13448/3 = 0.
-41, -1, 2/7
Solve 2*f**5/3 - 164*f**4 + 976*f**3/3 = 0.
0, 2, 244
What is x in -x**4/4 - 19*x**3/4 + 63*x**2/4 - 65*x/4 + 11/2 = 0?
-22, 1
Factor -3*f**2/5 + 132*f - 7260.
-3*(f - 110)**2/5
Determine h so that 329232*h**4 - 792756*h**3 - 546345*h**2 - 451575*h/4 - 30375/4 = 0.
-15/76, 3
What is g in -9*g**4/4 - 7*g**3/4 + g**2/2 = 0?
-1, 0, 2/9
Factor -33*l**3 + 60*l**2 - 21*l - 6.
-3*(l - 1)**2*(11*l + 2)
Factor -12*v**2/7 + 100*v/7 + 72/7.
-4*(v - 9)*(3*v + 2)/7
Supp