5
What is y in 4*y**4 + 20*y**3 - 3*y**2 - 16*y - 5 = 0?
-5, -1/2, 1
What is o in -2*o**5 + 9*o**4 - 4*o**3 = 0?
0, 1/2, 4
Factor 4*j**3/9 + 92*j**2/9 + 40*j.
4*j*(j + 5)*(j + 18)/9
Factor -94*a**3/21 + 64*a**2/7 - 34*a/7 + 4/21.
-2*(a - 1)**2*(47*a - 2)/21
Factor 2*u**2 - 8*u - 10.
2*(u - 5)*(u + 1)
Determine w so that -2*w**3/9 + 12*w**2 - 586*w/9 + 160/3 = 0.
1, 5, 48
Factor v**2/4 + 32*v + 1024.
(v + 64)**2/4
Find t such that -2*t**3/3 + 242*t**2/3 - 8350*t/3 + 88750/3 = 0.
25, 71
What is z in -100*z**5 - 2480*z**4 + 764*z**3 + 6776*z**2 + 4432*z + 800 = 0?
-25, -1, -2/5, 2
Solve 2*r**3/5 + 96*r**2/5 - 542*r/5 - 636/5 = 0 for r.
-53, -1, 6
Factor -4*l**3 + 172*l**2 - 636*l + 468.
-4*(l - 39)*(l - 3)*(l - 1)
Solve 2*g**2/7 - 14428*g/7 + 26020898/7 = 0 for g.
3607
Factor 2*n**4/9 + 10*n**3/9 - 44*n**2/9 + 32*n/9.
2*n*(n - 2)*(n - 1)*(n + 8)/9
Determine n, given that -n**3 + 5*n**2 - 3*n - 9 = 0.
-1, 3
Factor -3*r**4/7 - 39*r**3/7 + 135*r**2/7 - 141*r/7 + 48/7.
-3*(r - 1)**3*(r + 16)/7
Factor -3*v**4 + 18*v**3.
-3*v**3*(v - 6)
Solve -4*m**2/5 + 32*m/5 - 12 = 0 for m.
3, 5
What is j in 3*j**5/7 + 45*j**4/7 + 207*j**3/7 + 303*j**2/7 - 18*j - 432/7 = 0?
-8, -3, -2, 1
Let -2*a**2 + 74*a - 264 = 0. Calculate a.
4, 33
Factor -2*z**3/7 - 18*z**2/7 - 30*z/7 + 50/7.
-2*(z - 1)*(z + 5)**2/7
Determine y, given that 5*y**3 - 135*y**2 + 595*y + 735 = 0.
-1, 7, 21
Factor -3*k**3 - 1155*k**2 + 7011*k - 10557.
-3*(k - 3)**2*(k + 391)
Factor 3*k**2 - 366*k + 11163.
3*(k - 61)**2
Suppose -p**5 - 7*p**4 - 17*p**3 - 17*p**2 - 6*p = 0. What is p?
-3, -2, -1, 0
Factor d**2/7 - 57*d/7 + 8.
(d - 56)*(d - 1)/7
Factor -r**3 - 4*r**2 - 5*r - 2.
-(r + 1)**2*(r + 2)
Suppose -2*t**5 - 1148*t**4/9 - 15584*t**3/9 + 3520*t**2/9 = 0. Calculate t.
-44, -20, 0, 2/9
Suppose -2*j**4/9 + 20*j**3/9 - 56*j**2/9 + 4*j/3 + 10 = 0. What is j?
-1, 3, 5
Factor i**4/2 - 19*i**3/2 + 35*i**2/2 - 17*i/2.
i*(i - 17)*(i - 1)**2/2
Factor 6*z**4 + 28*z**3 - 56*z**2 - 48*z.
2*z*(z - 2)*(z + 6)*(3*z + 2)
Factor 4*m**3 - 48*m + 64.
4*(m - 2)**2*(m + 4)
What is z in -3*z**3/2 - 333*z**2/2 + 684*z - 690 = 0?
-115, 2
Factor 25*a**3/9 + 1105*a**2/9 + 11639*a/9 - 12769/9.
(a - 1)*(5*a + 113)**2/9
Suppose -2*y**3/3 - 56*y**2/3 - 104*y/3 = 0. Calculate y.
-26, -2, 0
Determine h so that h**2/5 + 178*h + 39605 = 0.
-445
Find o, given that -o**4/2 + 2*o**3 + 24*o**2 + 56*o + 40 = 0.
-2, 10
Solve 2*n**3/9 + 188*n**2/9 + 182*n/3 = 0.
-91, -3, 0
Let -t**5/3 - 10*t**4/3 - 8*t**3 - 22*t**2/3 - 7*t/3 = 0. What is t?
-7, -1, 0
Find c such that -2*c**2 - 8*c - 6 = 0.
-3, -1
Factor -5*m**2 + 15*m - 10.
-5*(m - 2)*(m - 1)
Solve 3*y**2 - 30*y + 72 = 0.
4, 6
Factor 2*g**4/11 + 40*g**3/11 + 250*g**2/11 + 500*g/11.
2*g*(g + 5)**2*(g + 10)/11
Determine y, given that -3*y**4/2 + 69*y**3 - 66*y**2 - 69*y + 135/2 = 0.
-1, 1, 45
Factor -x**3 + 695*x**2 - 2078*x + 1384.
-(x - 692)*(x - 2)*(x - 1)
Suppose 2*l**5/7 + 46*l**4/7 + 256*l**3/7 + 536*l**2/7 + 384*l/7 = 0. Calculate l.
-16, -3, -2, 0
Let 4*z**3 - 120*z**2 - 252*z - 128 = 0. What is z?
-1, 32
Factor t**4/4 - t**2/4.
t**2*(t - 1)*(t + 1)/4
Factor 9*y**3 + 84*y**2 + 100*y + 32.
(y + 8)*(3*y + 2)**2
Find n, given that 2*n**3 + 64*n**2/3 - 26*n/3 - 44/3 = 0.
-11, -2/3, 1
Factor -26*t**2/5 - 38*t/5 - 12/5.
-2*(t + 1)*(13*t + 6)/5
Find f such that 2*f**4 - 12*f**2 + 16*f - 6 = 0.
-3, 1
Factor -3*v**3/7 - 87*v**2/7 - 474*v/7 + 1320/7.
-3*(v - 2)*(v + 11)*(v + 20)/7
Solve -5*q**5 + 70*q**4 + 555*q**3 + 880*q**2 + 400*q = 0 for q.
-4, -1, 0, 20
Factor 15*f**4 - 65*f**3 + 55*f**2 + 25*f - 30.
5*(f - 3)*(f - 1)**2*(3*f + 2)
Factor 6*o**2/7 + 164*o/7 + 54/7.
2*(o + 27)*(3*o + 1)/7
Factor 4*z**2 - 1904*z - 1908.
4*(z - 477)*(z + 1)
Find o such that 2*o**3/3 + 68*o**2 + 1734*o = 0.
-51, 0
Suppose -3*p**3 - 123*p**2 - 1677*p - 7605 = 0. What is p?
-15, -13
Let 3*y**4 + 3*y**3 - 9*y**2 - 3*y + 6 = 0. What is y?
-2, -1, 1
Factor 2*q**2/7 + 268*q/7.
2*q*(q + 134)/7
Factor -5*f**5 - 445*f**4 + 905*f**3 - 455*f**2.
-5*f**2*(f - 1)**2*(f + 91)
Factor -4*g**4/5 - 2136*g**3.
-4*g**3*(g + 2670)/5
Factor y**2 - 972*y + 236196.
(y - 486)**2
Solve -s**4/6 + s**3/6 + s**2/6 - s/6 = 0 for s.
-1, 0, 1
Let -4*i**4 - 456*i**3 - 10516*i**2 + 141360*i - 384400 = 0. What is i?
-62, 5
Factor 25*x**5 + 115*x**4 + 210*x**3 + 190*x**2 + 85*x + 15.
5*(x + 1)**4*(5*x + 3)
Determine s so that -s**5/10 - 3*s**4/5 - 13*s**3/10 - 6*s**2/5 - 2*s/5 = 0.
-2, -1, 0
Factor v**2/2 + 14*v - 30.
(v - 2)*(v + 30)/2
Factor -h**4/3 + 43*h**3/3 - 161*h**2 + 147*h.
-h*(h - 21)**2*(h - 1)/3
Let 6*b**5 + 9*b**4 - 102*b**3 + 45*b**2 + 150*b = 0. What is b?
-5, -1, 0, 2, 5/2
Let -r**5/2 - 57*r**4/2 - 777*r**3/2 + 1189*r**2/2 + 2523*r = 0. What is r?
-29, -2, 0, 3
Find m such that 3*m**5 + 174*m**4 + 2514*m**3 - 528*m**2 - 7917*m - 5046 = 0.
-29, -1, 2
Factor -15*s**4 - 100*s**3 - 195*s**2 - 90*s.
-5*s*(s + 3)**2*(3*s + 2)
Find r such that 4*r**2 + 1240*r - 3756 = 0.
-313, 3
Factor 2*t**3 + 18*t**2 + 48*t + 40.
2*(t + 2)**2*(t + 5)
Factor -v**4 - 1456*v**3 - 529984*v**2.
-v**2*(v + 728)**2
Solve 2*l**2/25 + 1592*l/25 + 3176/25 = 0.
-794, -2
Factor -22*s**5/7 - 40*s**4/7 + 8*s**3/7.
-2*s**3*(s + 2)*(11*s - 2)/7
Factor 2*i**5 + 12*i**4 - 2*i**3 - 12*i**2.
2*i**2*(i - 1)*(i + 1)*(i + 6)
Find c such that -20*c**4 - 848*c**3 - 9936*c**2 - 19840*c - 6400 = 0.
-20, -2, -2/5
Determine g, given that 2*g**3 - 32*g**2 + 90*g + 324 = 0.
-2, 9
Factor 2*n**4/3 - 2*n**3/3 - 4*n**2/3.
2*n**2*(n - 2)*(n + 1)/3
Find w, given that 2*w**2 - 528*w + 34848 = 0.
132
Let 90*a**3/7 - 2508*a**2/7 + 2472*a + 336 = 0. What is a?
-2/15, 14
Solve m**2/4 - 40*m - 81 = 0.
-2, 162
Factor z**2/7 + 694*z/7.
z*(z + 694)/7
Factor 9*k**5/7 + 33*k**4/7 + 6*k**3 + 18*k**2/7 - 3*k/7 - 3/7.
3*(k + 1)**4*(3*k - 1)/7
Let 2*u**4 + 44*u**3 + 338*u**2 + 1056*u + 1152 = 0. Calculate u.
-8, -3
Determine z, given that 5*z**4 - 20*z**3 + 10*z**2 + 20*z - 15 = 0.
-1, 1, 3
Let -j**2 - 15*j + 16 = 0. What is j?
-16, 1
Factor -2*z**3/7 - 196*z**2 + 2750*z/7 - 1376/7.
-2*(z - 1)**2*(z + 688)/7
What is i in 4*i**5/7 + 72*i**4/7 + 28*i**3 - 528*i**2/7 - 2000*i/7 - 192 = 0?
-14, -4, -2, -1, 3
Suppose 3*z**2/5 + 753*z/5 + 150 = 0. Calculate z.
-250, -1
Suppose -3*r**2/2 + 1395*r + 2793/2 = 0. Calculate r.
-1, 931
Factor 3*q**5 - 51*q**4 + 345*q**3 - 1161*q**2 + 1944*q - 1296.
3*(q - 4)**2*(q - 3)**3
Determine i so that 125*i**4 - 300*i**3 - 220*i**2 + 480*i + 320 = 0.
-4/5, 2
Find h, given that 16*h**4 - 2172*h**3 - 608*h**2 + 8688*h + 2176 = 0.
-2, -1/4, 2, 136
Factor -5*g**2 - 1260*g - 1255.
-5*(g + 1)*(g + 251)
Determine w, given that 3*w**4 - 15*w**3 + 6*w**2 + 24*w = 0.
-1, 0, 2, 4
Solve -9*l**4 + 2784*l**3 + 1863*l**2 - 930*l = 0.
-1, 0, 1/3, 310
Factor -2*b**3/19 + 504*b**2/19 - 31752*b/19.
-2*b*(b - 126)**2/19
Solve -q**4 - 3*q**3 + 16*q**2 - 12*q = 0.
-6, 0, 1, 2
Determine p, given that -5*p**3 + 145*p**2 - 570*p - 720 = 0.
-1, 6, 24
Determine m so that -m**3/5 + 364*m**2/5 + m/5 - 364/5 = 0.
-1, 1, 364
Suppose y**3 + 332*y**2 + 989*y + 658 = 0. What is y?
-329, -2, -1
Factor 63*s**3 + 124*s**2 + 59*s - 2.
(s + 1)**2*(63*s - 2)
Factor g**5 + g**4 - 14*g**3 - 28*g**2 + 8*g + 32.
(g - 4)*(g - 1)*(g + 2)**3
Suppose -3*m**3/2 - 861*m**2/2 + 12495*m/2 - 44247/2 = 0. Calculate m.
-301, 7
Determine y so that -3*y**2 + 1308*y - 142572 = 0.
218
Factor 3*q**5 - 1680*q**4 + 9999*q**3 - 14958*q**2.
3*q**2*(q - 554)*(q - 3)**2
Suppose -f**4/4 + 33*f**3/2 - 189*f**2/4 = 0. What is f?
0, 3, 63
Let 4*k**5 - 1852*k**4 + 1840*k**3 + 3696*k**2 = 0. What is k?
-1, 0, 2, 462
Factor -2*q**2/5 - 66*q/5 + 1168.
-2*(q - 40)*(q + 73)/5
Factor -2*r**2/5 + 8*r/5 + 42/5.
-2*(r - 7)*(r + 3)/5
Solve -15*n**3/8 + 219*n**2/8 - 75*n/2 - 39/2 = 0 for n.
-2/5, 2, 13
Find p such that -8*p**2 + 492*p + 248 = 0.
-1/2, 62
Solve -5*b**4 + 74220*b**3 - 413145630*b**2 + 1022122288620*b - 948273953267205 = 0.
3711
Factor 5*m**5 + 6*m**4 - 8*m**3 - 10*m**2 + 3*m + 4.
(m - 1)*(m + 1)**3*(5*m - 4)
Factor -u**4/8 - 61*u**3/8 - 15*u**2/2.
-u**2*(u + 1)*(u + 60)/8
Solve -3*w**4 + 885*w**3 - 2634*w**2 + 1752*w = 0.
0, 1, 2, 292
Solve 3*r**5 + 261*r**4 + 765*r**3 + 759*r**2 + 252*r = 0.
-84, -1, 0
Factor 2*s**2/9 - 308*s/9 + 608/9.
2*(s - 152)*(s - 2)/9
Find k such that -5*k**4 - 40*k**3 + 40*k**2 + 480*k - 720 = 0.
-6, 2
Facto