at is j?
-98
Suppose 4*l**3/3 + 68*l**2/3 - 1192*l/3 + 1120/3 = 0. Calculate l.
-28, 1, 10
Factor 4*y**2 - 24*y - 28.
4*(y - 7)*(y + 1)
Find h, given that -h**5 + 6*h**4 - 9*h**3 + 4*h**2 = 0.
0, 1, 4
Factor n**3/3 + 7*n**2/3 - 11*n - 45.
(n - 5)*(n + 3)*(n + 9)/3
Factor -4*o**3 + 1184*o**2 - 87616*o.
-4*o*(o - 148)**2
Factor -5*i**3 - 165*i**2 + 365*i + 525.
-5*(i - 3)*(i + 1)*(i + 35)
Factor -4*t**2 + 35984*t - 80928016.
-4*(t - 4498)**2
Factor -5*n**2 + 490*n - 12005.
-5*(n - 49)**2
Let -2*c**2 + 2084*c - 542882 = 0. What is c?
521
Factor -g**2/4 - 2521*g/2 - 6355441/4.
-(g + 2521)**2/4
What is l in 3*l**3 - 66*l**2 = 0?
0, 22
Determine j, given that 5*j**5/3 - 77*j**4/3 + 265*j**3/3 - 259*j**2/3 + 22*j = 0.
0, 2/5, 1, 3, 11
Factor 3*q**3 - 2895*q**2 + 696969*q + 699867.
3*(q - 483)**2*(q + 1)
Solve -2*i**5/3 + 38*i**4/3 + 128*i**3/3 + 88*i**2/3 = 0 for i.
-2, -1, 0, 22
Suppose -3*g**4 + 22*g**3 + 21*g**2 - 36*g - 32 = 0. Calculate g.
-1, 4/3, 8
Factor -2*c**2/9 + 32*c/9 + 34/9.
-2*(c - 17)*(c + 1)/9
Solve f**3/12 + 3*f**2/4 + 5*f/4 + 7/12 = 0.
-7, -1
Let 4*s**5 + 64*s**4 - 232*s**3 - 64*s**2 + 228*s = 0. Calculate s.
-19, -1, 0, 1, 3
Factor -3*f**2 + 174*f + 744.
-3*(f - 62)*(f + 4)
Suppose -t**2 - 2*t - 1 = 0. What is t?
-1
Solve 12*i**5 + 615*i**4 + 1917*i**3 + 2181*i**2 + 1011*i + 144 = 0 for i.
-48, -1, -1/4
Factor -y**2 + 409*y - 408.
-(y - 408)*(y - 1)
Factor 2*r**4/11 + 64*r**3/11 + 668*r**2/11 + 2496*r/11 + 3042/11.
2*(r + 3)**2*(r + 13)**2/11
Find y such that 2*y**2/7 - 10*y/7 + 12/7 = 0.
2, 3
Factor 2*q**2/3 - 22*q + 168.
2*(q - 21)*(q - 12)/3
Solve -8*t**3 - 14*t**2 - 4*t + 2 = 0 for t.
-1, 1/4
Suppose x**4 - 32*x**3 - 141*x**2 - 108*x = 0. What is x?
-3, -1, 0, 36
Factor l**3/2 - l**2 + l/2.
l*(l - 1)**2/2
Suppose -x**2/7 - 184*x/7 - 52 = 0. Calculate x.
-182, -2
Determine z so that 2*z**3/5 - 10*z**2 + 86*z/5 + 138/5 = 0.
-1, 3, 23
Factor 2*r**5/3 + 4*r**4 + 8*r**3 + 16*r**2/3.
2*r**2*(r + 2)**3/3
Find c, given that 5*c**5 - 40*c**4 - 485*c**3 - 680*c**2 + 1200*c = 0.
-4, 0, 1, 15
Determine f so that -10*f**5 + 254*f**4/5 - 84*f**3 + 232*f**2/5 - 16*f/5 = 0.
0, 2/25, 1, 2
Factor 12*h**3/7 - 537*h**2/7 - 1863*h/7 - 432/7.
3*(h - 48)*(h + 3)*(4*h + 1)/7
Find a, given that -2*a**2/17 + 10422*a/17 + 10424/17 = 0.
-1, 5212
Factor 3*n**4 - 54*n**2 + 96*n - 45.
3*(n - 3)*(n - 1)**2*(n + 5)
Factor d**3/5 + d**2/5.
d**2*(d + 1)/5
Factor 49*r**3/10 + 3983*r**2/5 + 454*r + 324/5.
(r + 162)*(7*r + 2)**2/10
Factor -29*s**4 - 26*s**3 + 61*s**2 - 6*s.
-s*(s - 1)*(s + 2)*(29*s - 3)
Find t, given that t**3 - 281*t**2 + 19880*t - 19600 = 0.
1, 140
Factor -804609*s**5/4 - 806403*s**4/2 - 811789*s**3/4 - 899*s**2 - s.
-s*(s + 1)**2*(897*s + 2)**2/4
Solve 2*a**4/7 + 338*a**3/7 - 2076*a**2/7 + 4184*a/7 - 400 = 0.
-175, 2
Factor d**2/4 + 15*d/4 + 7/2.
(d + 1)*(d + 14)/4
Let 4*u**3 - 44*u**2 - 56*u + 96 = 0. Calculate u.
-2, 1, 12
Determine u so that 2*u**2/9 + 52*u/9 + 50/9 = 0.
-25, -1
Find h, given that 2*h**3/15 + 3518*h**2/5 + 6188162*h/5 + 10884976958/15 = 0.
-1759
Suppose 3*k**4 + 7*k**3 - 81*k**2 + 113*k - 42 = 0. Calculate k.
-7, 2/3, 1, 3
What is d in 3*d**5/4 - 37*d**4/4 + 25*d**3 + 48*d**2 - 144*d - 108 = 0?
-2, -2/3, 3, 6
Let -3*x**3 + 52*x**2 - 60*x - 64 = 0. What is x?
-2/3, 2, 16
Factor -2*h**5/7 - 22*h**4/7 - 54*h**3/7 - 50*h**2/7 - 16*h/7.
-2*h*(h + 1)**3*(h + 8)/7
What is p in 3*p**5 - 54*p**4 + 183*p**3 + 540*p**2 + 300*p = 0?
-1, 0, 10
Factor 5*i**3 - 185*i**2 + 675*i - 495.
5*(i - 33)*(i - 3)*(i - 1)
Factor -2*n**3/7 - 194*n**2/7 - 4982*n/7 - 13254/7.
-2*(n + 3)*(n + 47)**2/7
Let 5*a**4 - 45*a**3 - 5*a**2 + 525*a = 0. What is a?
-3, 0, 5, 7
Suppose -l**3/7 + 32*l**2/7 - 16*l = 0. What is l?
0, 4, 28
Solve -2*f**2 + 938*f = 0.
0, 469
Determine q, given that q**4 - 25*q**3 - 28*q**2 + 52*q = 0.
-2, 0, 1, 26
Suppose -5*u**4 - 750*u**3 - 27365*u**2 + 57000*u - 28880 = 0. What is u?
-76, 1
Let -2*g**3/9 + 8*g**2 - 190*g/3 - 1444/9 = 0. What is g?
-2, 19
Factor -2*i**4 - 60*i**3 + 262*i**2 - 336*i + 136.
-2*(i - 2)*(i - 1)**2*(i + 34)
Find v such that 5*v**2 + v/3 - 14/3 = 0.
-1, 14/15
Solve -p**5/4 + 5*p**4/2 - 29*p**3/4 + 2*p**2 + 12*p = 0.
-1, 0, 3, 4
What is y in -5*y**3 - 655*y**2 + 2680*y - 2700 = 0?
-135, 2
Factor -5*h**3 + 65*h + 60.
-5*(h - 4)*(h + 1)*(h + 3)
Factor 3*q**3 + 108*q**2 - 615*q.
3*q*(q - 5)*(q + 41)
Factor 4*q**3/9 + 1168*q**2/9 - 4*q/9 - 1168/9.
4*(q - 1)*(q + 1)*(q + 292)/9
Solve -64*o**3/5 - 492*o**2/5 - 1224*o/5 - 972/5 = 0.
-3, -27/16
Find c such that 15*c**5 + 39*c**4 - 63*c**3 - 147*c**2 - 24*c + 36 = 0.
-3, -1, 2/5, 2
Factor p**4/6 - 41*p**3/6 + 39*p**2/2 - 115*p/6 + 19/3.
(p - 38)*(p - 1)**3/6
Find y such that 28*y**3 - 8*y**2 = 0.
0, 2/7
Solve -56*k**3/3 + 82*k**2 - 78*k + 44/3 = 0 for k.
1/4, 1, 22/7
Factor -2*j**2/17 + 52*j/17 - 266/17.
-2*(j - 19)*(j - 7)/17
Find k, given that -k**3 - 852*k**2 - 182325*k - 361250 = 0.
-425, -2
Let 2*y**3 + 16*y**2 - 22*y - 36 = 0. What is y?
-9, -1, 2
Find n, given that 5*n**3 - 30*n**2 - 35*n = 0.
-1, 0, 7
Factor 21*g**5/5 - 132*g**4/5 + 288*g**3/5 - 48*g**2 + 48*g/5.
3*g*(g - 2)**3*(7*g - 2)/5
Let 2*b**3/9 - 2*b**2/3 - 56*b/9 + 40/3 = 0. Calculate b.
-5, 2, 6
Factor -4*p**4 + 36*p**3 - 432*p.
-4*p*(p - 6)**2*(p + 3)
What is d in -6*d**5/11 + 38*d**4/11 - 32*d**3/11 - 40*d**2/11 = 0?
-2/3, 0, 2, 5
Factor -v**3/5 - 123*v**2/5 - 5043*v/5 - 68921/5.
-(v + 41)**3/5
Let -15*n**3 - 145*n**2 + 410*n - 120 = 0. Calculate n.
-12, 1/3, 2
Suppose -2*f**3/3 - 260*f**2 + 1584*f = 0. What is f?
-396, 0, 6
Factor -27*o**4 - 1188*o**3 - 1170*o**2 - 388*o - 43.
-(o + 43)*(3*o + 1)**3
Factor -p**4 + 10*p**3 - 17*p**2 + 8*p.
-p*(p - 8)*(p - 1)**2
Determine m, given that 4205*m**3 + 50605*m**2 + 123795*m - 178605 = 0.
-189/29, 1
Factor u**3 + 8*u**2 + 19*u + 12.
(u + 1)*(u + 3)*(u + 4)
Factor 2*o**5/11 + 10*o**4/11 + 14*o**3/11 + 6*o**2/11.
2*o**2*(o + 1)**2*(o + 3)/11
Factor 3*o**2 + 600*o + 30000.
3*(o + 100)**2
Factor -3*w**4 + 6684*w**3 - 3722988*w**2.
-3*w**2*(w - 1114)**2
Determine j so that 3*j**3 - 303*j**2 + 2697*j + 3003 = 0.
-1, 11, 91
Suppose -18*c**3/5 + 354*c**2/5 - 1904*c/5 + 1568/5 = 0. Calculate c.
1, 28/3
Let 2*a**3/7 + 2188*a**2/7 - 2194*a/7 - 4380/7 = 0. What is a?
-1095, -1, 2
Factor -2*i**3/5 + 42*i**2/5 + 122*i/5 - 138.
-2*(i - 23)*(i - 3)*(i + 5)/5
Find b, given that 3*b**3 - 167*b**2 + 272*b - 108 = 0.
2/3, 1, 54
Factor -4*b**4 - 36*b**3 - 28*b**2 + 36*b + 32.
-4*(b - 1)*(b + 1)**2*(b + 8)
Factor -m**3 + 66*m**2 - 191*m + 126.
-(m - 63)*(m - 2)*(m - 1)
Factor -j**2/3 + j + 10/3.
-(j - 5)*(j + 2)/3
Let 3*v**2/2 - 591*v/2 - 597 = 0. What is v?
-2, 199
Let 4*h**2 + 28*h + 48 = 0. What is h?
-4, -3
Determine w, given that 3*w**2 - 48*w + 84 = 0.
2, 14
Solve -d**3/6 + 5*d**2/6 + 14*d/3 - 16/3 = 0 for d.
-4, 1, 8
Determine a, given that 4*a**5 - 12*a**4 - 12*a**3 + 28*a**2 + 24*a = 0.
-1, 0, 2, 3
Suppose 2*a**4/9 - 38*a**3/9 - 28*a**2/3 = 0. Calculate a.
-2, 0, 21
Find y, given that 8*y**5/5 + 238*y**4/15 + 772*y**3/15 + 298*y**2/5 + 304*y/15 - 32/15 = 0.
-4, -1, 1/12
Factor 4*m**2 + 144*m + 140.
4*(m + 1)*(m + 35)
Suppose 2*a**2/3 + 4*a + 16/3 = 0. Calculate a.
-4, -2
Determine i, given that 3*i**3/4 + 7*i**2 - 47*i + 28 = 0.
-14, 2/3, 4
Solve -3*w**2/4 - 33*w/4 - 45/2 = 0.
-6, -5
Factor -y**4 - 13*y**3 + 15*y**2 + 13*y - 14.
-(y - 1)**2*(y + 1)*(y + 14)
Factor 5*z**4 + 120*z**3 + 825*z**2 + 1210*z.
5*z*(z + 2)*(z + 11)**2
Factor -2*i**2 - 66*i - 64.
-2*(i + 1)*(i + 32)
Factor x**2/4 - 31*x/4 + 15/2.
(x - 30)*(x - 1)/4
Suppose -3*f**5/2 - 17*f**4/2 - 5*f**3 = 0. What is f?
-5, -2/3, 0
Solve l**5/12 - 3*l**4/2 + 7*l**3 - 77*l**2/6 + 41*l/4 - 3 = 0 for l.
1, 3, 12
Factor -y**3 + 495*y**2 - 492*y - 988.
-(y - 494)*(y - 2)*(y + 1)
Factor -3*f**4 + 143*f**3 - 1527*f**2 - 4275*f - 1250.
-(f - 25)**2*(f + 2)*(3*f + 1)
Suppose o**3/3 - 4*o/3 = 0. What is o?
-2, 0, 2
Factor -4*y**3/3 - 962*y**2/3 - 19360*y - 9600.
-2*(y + 120)**2*(2*y + 1)/3
Suppose -3*f**2 + 192*f - 3072 = 0. What is f?
32
Factor -15*u**2/7 + 801*u/7 - 318/7.
-3*(u - 53)*(5*u - 2)/7
Factor g**4/2 + 15*g**3/2 + 32*g**2 + 24*g - 64.
(g - 1)*(g + 4)**2*(g + 8)/2
Factor w**2/6 - 1229*w/6 + 614/3.
(w - 1228)*(w - 1)/6
Factor -3*b**2/2 - 273*b/2 - 135.
-3*(b + 1)*(b + 90)/2
Factor -a**5/2 + 9*a**4 - 55*a**3