5
Factor -62*n**2 + 5*n.
-n*(62*n - 5)
Determine n so that -2*n**5/15 - 4*n**4/5 + 358*n**3/15 - 416*n**2/5 + 296*n/3 - 192/5 = 0.
-18, 1, 2, 8
What is m in -2*m**3 - 4*m**2 + 22*m + 24 = 0?
-4, -1, 3
Find d such that 2*d**5 - 30*d**4 - 104*d**3 - 72*d**2 = 0.
-2, -1, 0, 18
Determine k, given that -4*k**4 - 48*k**3 - 116*k**2 - 72*k = 0.
-9, -2, -1, 0
What is n in n**2 + 10*n - 24 = 0?
-12, 2
Let 20*s**2 + 735*s + 715 = 0. Calculate s.
-143/4, -1
Factor -5*p**4 + 5*p**3 + 105*p**2 - 225*p.
-5*p*(p - 3)**2*(p + 5)
Solve 20*m**3/7 - 556*m**2/7 + 428*m/7 + 108/7 = 0.
-1/5, 1, 27
Let 5*n**2/4 - 9525*n/2 + 18145125/4 = 0. Calculate n.
1905
Suppose 3*b**3/2 - 75*b/2 = 0. What is b?
-5, 0, 5
Let k**3/7 - 177*k**2/7 - 720*k/7 - 724/7 = 0. What is k?
-2, 181
Determine a, given that 2*a**4/5 + 12*a**3 + 58*a**2/5 = 0.
-29, -1, 0
Factor -5*s**4 + 885*s**3 - 2625*s**2 + 2615*s - 870.
-5*(s - 174)*(s - 1)**3
What is p in -5*p**3 - 95*p**2 - 595*p - 1225 = 0?
-7, -5
Suppose 2*a**2/17 - 20*a/17 - 14 = 0. What is a?
-7, 17
Find u such that u**3 - 13*u - 12 = 0.
-3, -1, 4
Factor -3*q**2 - 600*q - 30000.
-3*(q + 100)**2
Solve s**2/6 + s/2 + 1/3 = 0 for s.
-2, -1
Let -4*j**2 - 64*j - 156 = 0. Calculate j.
-13, -3
Factor 3*s**2/2 + 51*s - 333/2.
3*(s - 3)*(s + 37)/2
Factor u**3 + 244*u**2 - 495*u - 738.
(u - 3)*(u + 1)*(u + 246)
What is q in 2*q**5/9 - 26*q**4/9 + 92*q**3/9 - 8*q**2/3 - 16*q = 0?
-1, 0, 2, 6
Factor 3*v**4/2 - 45*v**3 + 87*v**2/2.
3*v**2*(v - 29)*(v - 1)/2
Factor 3*v**3 + 258*v**2 + 2247*v - 2508.
3*(v - 1)*(v + 11)*(v + 76)
Factor 6*i**3 - 436*i**2 + 2298*i - 1340.
2*(i - 67)*(i - 5)*(3*i - 2)
Suppose 4*w**2 - 5540*w = 0. Calculate w.
0, 1385
Determine k so that k**2 + 7*k - 8 = 0.
-8, 1
Find h, given that -8*h**4/7 - 8*h**3 + 62*h**2/7 - 16*h/7 = 0.
-8, 0, 1/2
Factor 8*j**3 - 352*j**2 - 358*j - 90.
2*(j - 45)*(2*j + 1)**2
Factor 3*z**2/5 - 108*z/5 + 297/5.
3*(z - 33)*(z - 3)/5
Factor 2*x**3/9 + 16*x**2/9 + 26*x/9 + 4/3.
2*(x + 1)**2*(x + 6)/9
Solve -6*x**3/5 - 4*x**2 + 18*x/5 + 8/5 = 0 for x.
-4, -1/3, 1
Factor -2*i**4/5 - 32*i**3/5 - 192*i**2/5 - 512*i/5 - 512/5.
-2*(i + 4)**4/5
Find w such that 5*w**3 + 215*w**2 + 1930*w - 4760 = 0.
-28, -17, 2
Factor -o**2/4 + 27*o/4 - 25/2.
-(o - 25)*(o - 2)/4
Let -z**5/3 + 46*z**4/3 - 769*z**3/3 + 1840*z**2 - 4800*z = 0. What is z?
0, 8, 15
Let p**4 + 17*p**3 - 57*p**2 + 59*p - 20 = 0. Calculate p.
-20, 1
Factor -2*i**3 + 3318*i**2 + 6644*i.
-2*i*(i - 1661)*(i + 2)
Find y such that y**3 - 86*y**2 + 411*y - 486 = 0.
2, 3, 81
Factor 2*k**3 + 54*k**2 + 208*k - 264.
2*(k - 1)*(k + 6)*(k + 22)
Determine l, given that 11*l**3 + 112*l**2 + 119*l + 18 = 0.
-9, -1, -2/11
Factor -s**4/2 - 3*s**3 + 15*s**2/2 - 4*s.
-s*(s - 1)**2*(s + 8)/2
Determine y, given that 3*y**2 - 207*y + 1134 = 0.
6, 63
Find d, given that 2*d**5/9 + 4*d**4/9 - 8*d**3/9 - 4*d**2/9 + 2*d/3 = 0.
-3, -1, 0, 1
Factor 2*y**2/9 - 10*y/3 + 112/9.
2*(y - 8)*(y - 7)/9
Let 3*f**3 - 57*f**2 + 228*f + 288 = 0. Calculate f.
-1, 8, 12
Let -5*j**4 - 3*j**3 + 22*j**2 + 12*j - 8 = 0. Calculate j.
-2, -1, 2/5, 2
Factor 4*s**2 - 520*s - 6816.
4*(s - 142)*(s + 12)
Factor -3*b**4/4 + 135*b**3/4 - 1449*b**2/4 - 1587*b/4.
-3*b*(b - 23)**2*(b + 1)/4
Let -4*n**2 + 552*n - 3668 = 0. Calculate n.
7, 131
Factor 4*l**3 - 5540*l**2 - 11092*l - 5548.
4*(l - 1387)*(l + 1)**2
Let -5*k**2 - 10*k + 75 = 0. Calculate k.
-5, 3
What is q in 2*q**4/3 + 14*q**3 - 262*q**2/3 - 14*q + 260/3 = 0?
-26, -1, 1, 5
Factor 2*q**4 - 52*q**3 - 294*q**2 - 488*q - 248.
2*(q - 31)*(q + 1)*(q + 2)**2
Factor 2*w**3/11 + 1258*w**2/11 - 2522*w/11 + 1262/11.
2*(w - 1)**2*(w + 631)/11
Factor 2*z**2 - 92*z + 410.
2*(z - 41)*(z - 5)
Solve 2*u**2/5 + 214*u/5 = 0.
-107, 0
Find n such that -39*n**4/8 - 753*n**3/8 - 837*n**2/2 + 735*n/2 + 150 = 0.
-10, -4/13, 1
What is f in 555*f**3 - 1116*f**2 + 567*f - 6 = 0?
2/185, 1
Factor 5*k**3 - 675*k**2 - 1365*k - 685.
5*(k - 137)*(k + 1)**2
Let 23763*p**3/2 - 21627*p**2/2 - 1044*p - 24 = 0. Calculate p.
-4/89, 1
Determine s so that -2*s**4 - 2*s**3 + 40*s**2 = 0.
-5, 0, 4
Factor -11*d**3 - 57*d**2 + 56*d + 12.
-(d - 1)*(d + 6)*(11*d + 2)
Factor -2*n**2/5 - 48*n/5 - 88/5.
-2*(n + 2)*(n + 22)/5
Determine t so that 2560*t**4 - 18880*t**3 + 6840*t**2 - 845*t + 35 = 0.
1/8, 7
Factor -f**2 + 150*f + 775.
-(f - 155)*(f + 5)
Let 2*h**2 + 1678*h + 1676 = 0. What is h?
-838, -1
What is i in 4*i**3 + 8*i**2 - 20*i - 24 = 0?
-3, -1, 2
Let -w**3 + 32*w**2 + 68*w = 0. Calculate w.
-2, 0, 34
Find v, given that -7*v**4/2 - 1674*v**3 - 4281*v**2/2 + 2864*v + 954 = 0.
-477, -2, -2/7, 1
Factor -2*h**3 - 14*h**2 - 20*h.
-2*h*(h + 2)*(h + 5)
What is q in -4*q**2 - 164*q - 160 = 0?
-40, -1
Factor -15*f**2/2 - 647*f/2 - 43.
-(f + 43)*(15*f + 2)/2
Factor -3*w**2 - 192*w.
-3*w*(w + 64)
Factor m**3/6 - 37*m**2/6 - m/6 + 37/6.
(m - 37)*(m - 1)*(m + 1)/6
Let -j**3/4 - 3*j**2/4 + j = 0. What is j?
-4, 0, 1
Suppose 135*t**4 + 144*t**3 - 264*t**2 + 48 = 0. What is t?
-2, -2/5, 2/3
Suppose -4*n**2/5 - 184*n/5 - 1972/5 = 0. What is n?
-29, -17
Factor -x**4/4 - 3*x**3/2 - 9*x**2/4.
-x**2*(x + 3)**2/4
Determine g, given that 194672*g**5/7 + 171396*g**4/7 - 28520*g**3/7 - 5504*g**2/7 - 264*g/7 - 4/7 = 0.
-1, -1/23, 1/4
Solve 2*a**5/11 + 8*a**4/11 - 4*a**3/11 - 16*a**2/11 + 2*a/11 + 8/11 = 0 for a.
-4, -1, 1
Let -20*y**5 + 142*y**4 - 54*y**3 - 556*y**2 + 536*y - 48 = 0. Calculate y.
-2, 1/10, 1, 2, 6
Find u, given that -9*u**5/5 + 33*u**4/5 - 9*u**3/5 - 33*u**2/5 + 18*u/5 = 0.
-1, 0, 2/3, 1, 3
Factor -3*a**3 + 39*a**2 - 66*a.
-3*a*(a - 11)*(a - 2)
Solve 15*k**4 - 70*k**3 - 220*k**2 - 170*k - 35 = 0.
-1, -1/3, 7
Let -5*a**4 + 5445*a**3 - 64860*a**2 + 258800*a - 344640 = 0. Calculate a.
4, 1077
Suppose -14*z**2/3 - 36*z + 32/3 = 0. What is z?
-8, 2/7
Find r, given that -4*r**2/9 - 872*r/9 - 47524/9 = 0.
-109
Suppose 2*z**4/13 + 14*z**3/13 - 32*z**2/13 - 8*z + 192/13 = 0. Calculate z.
-8, -3, 2
Let -15*h**4 + 265*h**3 - 1010*h**2 + 1340*h - 520 = 0. What is h?
2/3, 2, 13
Factor -l**2 - 58*l - 832.
-(l + 26)*(l + 32)
Find d, given that 2*d**4 - 14*d**3 + 24*d**2 = 0.
0, 3, 4
Determine g, given that -2*g**3 - 78*g**2 - 148*g = 0.
-37, -2, 0
Factor g**3/8 - 39*g**2/4 + 507*g/2 - 2197.
(g - 26)**3/8
What is l in 3*l**3 - 44595*l**2 + 165748464*l - 165703872 = 0?
1, 7432
Find h such that h**4/2 - 5*h**3 - 18*h**2 + 324*h - 864 = 0.
-8, 6
Factor i**2/2 - 31*i/2 + 75.
(i - 25)*(i - 6)/2
Factor 2*v**3 + 484*v**2/15 + 64*v/15.
2*v*(v + 16)*(15*v + 2)/15
Find l, given that -3*l**3 + 141*l**2 + 3*l - 141 = 0.
-1, 1, 47
Determine q so that -q**5 - 39*q**4 - 176*q**3 - 204*q**2 = 0.
-34, -3, -2, 0
Solve -28*h**4/3 + 293*h**3/3 - 509*h**2/3 - 338*h/3 - 16 = 0.
-2/7, -1/4, 3, 8
Let b**5 - 45*b**4 + 428*b**3 + 1920*b**2 - 2304*b = 0. What is b?
-4, 0, 1, 24
Let 12*c**4 - 71*c**3 - 1627*c**2 - 129*c + 135 = 0. Calculate c.
-9, -1/3, 1/4, 15
Suppose c**2/5 - 6*c/5 + 1 = 0. What is c?
1, 5
Determine g, given that -g**5/9 - 10*g**4/9 - 22*g**3/9 - 4*g**2/9 + 23*g/9 + 14/9 = 0.
-7, -2, -1, 1
Solve -2*v**3/7 + 828*v**2/7 - 9720*v/7 + 28944/7 = 0 for v.
6, 402
Factor -2*i**3 + 962*i**2 - 115198*i - 116162.
-2*(i - 241)**2*(i + 1)
Let 35*t**4 - 830*t**3 - 6540*t**2 - 1800*t = 0. What is t?
-6, -2/7, 0, 30
Let 2*z**4/3 + 4*z**3/3 - 38*z**2/3 - 40*z/3 = 0. Calculate z.
-5, -1, 0, 4
Factor 3*v**2 + 1671*v - 5040.
3*(v - 3)*(v + 560)
Determine z, given that -3*z**2 + 3402*z - 964467 = 0.
567
Find y such that 9*y**4 - 141*y**3 + 75*y**2 + 237*y - 180 = 0.
-4/3, 1, 15
Factor -2*b**4 - 60*b**3 - 442*b**2 + 240*b + 1800.
-2*(b - 2)*(b + 2)*(b + 15)**2
Let 35*q**5 + 150*q**4 + 145*q**3 + 30*q**2 = 0. What is q?
-3, -1, -2/7, 0
Suppose -4*r**4 + 512*r**3 - 15864*r**2 - 33280*r - 16900 = 0. Calculate r.
-1, 65
Factor -32*s**3 - 28*s**2 + 52*s - 15.
-(2*s - 1)**2*(8*s + 15)
Let c**5/8 + 5*c**4/8 - 17*c**3/8 - 17*c**2/8 + 4*c + 7/2 = 0. Calculate c.
-7, -1, 2
Suppose -f**5 + 6*f**4 + 5*f**3 - 30*f**2 - 4*f + 24 = 0. Calculate f.
-2, -1, 1, 2, 6
Factor 2*h**3/3 - 141*h**2/2 + 157*h/3 + 35/2.
(h - 105)*(h - 1)*(4*h + 1)/6
Solve -3*p**3 - 12*p**2 - 3*p + 18 = 0 for p.
-3, -2, 1
Factor -2*p**4/3 - 2*p**3/3 + 4*p**2/3.
-2*p**2*(p - 1)*(p + 2)/3
Let k**3/7 + 1319*k**2/7 + 188*k - 2636/7 = 0. What is k?
-1318, -2, 1
What is k in 15*k**2 - 230*k