0*k - 136.
(k - 2)**3*(k + 1)*(k + 17)
What is t in 2*t**2 + 140*t + 2450 = 0?
-35
Factor -t**2 - 39*t - 308.
-(t + 11)*(t + 28)
Factor -30*o**3 + 124*o**2 - 106*o + 12.
-2*(o - 3)*(o - 1)*(15*o - 2)
Factor -5*d**3 - 205*d**2.
-5*d**2*(d + 41)
Factor -2*u**3 + 178*u**2 - 1630*u + 3950.
-2*(u - 79)*(u - 5)**2
Determine k so that -k**3/7 + 213*k**2/7 + 865*k/7 + 93 = 0.
-3, -1, 217
Factor 2*n**3/5 + 52*n**2/5 + 50*n + 40.
2*(n + 1)*(n + 5)*(n + 20)/5
What is b in 3*b**2/2 + 41*b/4 - 7/4 = 0?
-7, 1/6
Solve 3*q**5 + 102*q**4 + 1047*q**3 + 3060*q**2 + 2700*q = 0.
-15, -2, 0
What is l in -l**5 - 6*l**4 - 4*l**3 + 6*l**2 + 5*l = 0?
-5, -1, 0, 1
Factor x**4/3 - 581*x**3/3 + 1159*x**2/3 - 193*x.
x*(x - 579)*(x - 1)**2/3
Factor 9*p**3 - 69*p**2 + 120*p + 48.
3*(p - 4)**2*(3*p + 1)
Find x such that -3*x**5 + 48*x**4 + 1344*x**3 + 6144*x**2 = 0.
-8, 0, 32
Solve -5*f**5 - 5*f**4 + 60*f**3 + 140*f**2 + 80*f = 0.
-2, -1, 0, 4
Factor -2*f**2/3 + 48*f - 864.
-2*(f - 36)**2/3
Factor 2*x**2/21 + 44*x/21 + 78/7.
2*(x + 9)*(x + 13)/21
Factor 2*c**3/5 - 6*c**2 + 54*c/5 - 26/5.
2*(c - 13)*(c - 1)**2/5
Factor -5*n**3 + 195*n**2.
-5*n**2*(n - 39)
Find x such that -4*x**3 + 5460*x**2 + 5464*x = 0.
-1, 0, 1366
Determine h, given that 2*h**4/17 - 176*h**3/17 - 546*h**2/17 = 0.
-3, 0, 91
Suppose 381*l**2 - 2*l = 0. What is l?
0, 2/381
What is r in 3*r**2/4 - 3*r/2 + 3/4 = 0?
1
Factor 3*t**3/5 - 72*t**2 + 2880*t - 38400.
3*(t - 40)**3/5
Factor 5*s**4 - 5*s**3 - 20*s**2 + 20*s.
5*s*(s - 2)*(s - 1)*(s + 2)
Factor 8*f**4/9 - 56*f**3 + 8186*f**2/9 - 868*f + 1922/9.
2*(f - 31)**2*(2*f - 1)**2/9
Factor 2*c**3/11 - 28*c**2 + 910*c/11 - 604/11.
2*(c - 151)*(c - 2)*(c - 1)/11
Factor -j**5/2 - 29*j**4/6 + 5*j**3/3.
-j**3*(j + 10)*(3*j - 1)/6
Factor 5*g**5 + 30*g**4 + 20*g**3 - 30*g**2 - 25*g.
5*g*(g - 1)*(g + 1)**2*(g + 5)
Factor 2*b**2/3 + 387*b - 581/3.
(b + 581)*(2*b - 1)/3
Factor -2*r**3/7 - 22*r**2/7 + 2*r/7 + 22/7.
-2*(r - 1)*(r + 1)*(r + 11)/7
Factor -324*h**4 + 292*h**3 + 32*h**2.
-4*h**2*(h - 1)*(81*h + 8)
Solve 3*n**5 - 9771*n**4 + 7980432*n**3 - 39736200*n**2 + 63492048*n - 31726512 = 0.
1, 2, 1626
Suppose -2*s**4/25 + 26*s**3/25 + 14*s**2/25 - 34*s/5 - 156/25 = 0. Calculate s.
-2, -1, 3, 13
Factor s**3/7 + 22*s**2/7 - 25*s/7 - 46/7.
(s - 2)*(s + 1)*(s + 23)/7
Suppose 32*r**5 - 560*r**4 + 1634*r**3 + 7324*r**2 + 3320*r + 400 = 0. Calculate r.
-2, -1/4, 10
Let 3*p**3 - 240*p**2 + 1773*p - 3240 = 0. What is p?
3, 5, 72
Factor 2*k**2/7 + 24*k/7 + 22/7.
2*(k + 1)*(k + 11)/7
Suppose j**5/5 - 24*j**4/5 + 176*j**3/5 - 394*j**2/5 + 351*j/5 - 22 = 0. What is j?
1, 10, 11
Find p, given that -5*p**4 + 555*p**3 + 1700*p**2 + 1140*p = 0.
-2, -1, 0, 114
Suppose -21*c**5 + 6*c**4 + 135*c**3 - 60*c**2 - 204*c + 144 = 0. Calculate c.
-2, -12/7, 1, 2
Factor -w**4 - 83*w**3 - 1678*w**2 + 1932*w + 3528.
-(w - 2)*(w + 1)*(w + 42)**2
Factor 1024*s**3/5 + 20352*s**2/5 - 2556*s/5 + 16.
4*(s + 20)*(16*s - 1)**2/5
Factor -5*m**4 - 63*m**3 - 149*m**2 + 315*m - 98.
-(m - 1)*(m + 7)**2*(5*m - 2)
Find n, given that -6*n**5/7 + 38*n**4/7 - 30*n**3/7 - 150*n**2/7 + 28*n - 48/7 = 0.
-2, 1/3, 1, 3, 4
Solve 10*o**2 + 182*o - 152 = 0.
-19, 4/5
Factor -a**2 - 290*a + 1176.
-(a - 4)*(a + 294)
Factor -5*h**2 + 1350*h - 2680.
-5*(h - 268)*(h - 2)
Find s, given that -2*s**4/3 + 238*s**3/3 - 236*s**2/3 = 0.
0, 1, 118
Factor -4*q**4 - 292*q**3 - 6228*q**2 - 32076*q - 26136.
-4*(q + 1)*(q + 6)*(q + 33)**2
Find u such that 2*u**5 + 4*u**4 - 100*u**3 - 200*u**2 + 1250*u + 2500 = 0.
-5, -2, 5
Suppose -27*q**3/4 + 165*q**2/2 - 153*q + 30 = 0. Calculate q.
2/9, 2, 10
Suppose 2*z**2 - 3712*z = 0. What is z?
0, 1856
Let 25*p**4 + 15*p**3 - 35*p**2 - 15*p + 10 = 0. What is p?
-1, 2/5, 1
Solve 3*l**4 - 39*l**3 + 168*l**2 - 240*l = 0 for l.
0, 4, 5
Factor -u**3/2 + 99*u**2/2 - 322*u.
-u*(u - 92)*(u - 7)/2
Factor -3*p**3 + 180*p**2/7 - 213*p/7 - 18.
-3*(p - 7)*(p - 2)*(7*p + 3)/7
Suppose z**3 - 55*z**2 + 54*z = 0. What is z?
0, 1, 54
Factor -3*c**3 - 33*c**2 + 222*c - 288.
-3*(c - 3)*(c - 2)*(c + 16)
Factor b**3 + 55*b**2 + 527*b - 6727.
(b - 7)*(b + 31)**2
Find d, given that 4*d**2/5 - 223*d/5 - 56/5 = 0.
-1/4, 56
Determine k so that -3*k**4 + 27*k**3 + 144*k**2 + 156*k = 0.
-2, 0, 13
Determine z, given that -5*z**3/2 - 65*z**2 - 755*z/2 - 315 = 0.
-18, -7, -1
Let 36*a**2 - 20*a - 16 = 0. What is a?
-4/9, 1
Determine x, given that -x**2 + 47*x - 370 = 0.
10, 37
Factor 4*p**3 + 16*p**2 + 12*p.
4*p*(p + 1)*(p + 3)
Suppose 27*p**4 - 108*p**3 + 153*p**2 - 88*p + 16 = 0. Calculate p.
1/3, 1, 4/3
Let -6*p**5/7 + 200*p**4/7 - 944*p**3/7 + 192*p**2 + 32*p/7 - 128 = 0. Calculate p.
-2/3, 2, 28
Factor 4*w**3 - 132*w**2 + 752*w - 624.
4*(w - 26)*(w - 6)*(w - 1)
Find t, given that -2*t**5 - 2*t**4 + 6*t**3 + 10*t**2 + 4*t = 0.
-1, 0, 2
Solve -l**2/7 + 3975*l/7 - 3974/7 = 0 for l.
1, 3974
Find z such that 76*z**3 + 160*z**2 + 16*z = 0.
-2, -2/19, 0
What is i in 32*i**4 + 1104*i**3 + 9986*i**2 + 6834*i - 17956 = 0?
-67/4, -2, 1
Let -60*b**5 - 2048*b**4 - 3932*b**3 + 5272*b**2 + 768*b = 0. Calculate b.
-32, -3, -2/15, 0, 1
What is h in -3*h**2 + 45*h + 102 = 0?
-2, 17
Factor -4*g**3 - 6*g**2 + 6*g + 4.
-2*(g - 1)*(g + 2)*(2*g + 1)
Factor -c**3 + 288*c**2 + 579*c + 290.
-(c - 290)*(c + 1)**2
Determine p, given that p**4/7 + p**3/7 - 34*p**2/7 - 4*p/7 + 120/7 = 0.
-6, -2, 2, 5
Factor -4*c**3 - 1712*c**2 - 3412*c - 1704.
-4*(c + 1)**2*(c + 426)
Solve -w**3/5 - 152*w**2/5 - 1185*w - 2250 = 0.
-75, -2
Suppose -4*v**2 - 1284*v = 0. What is v?
-321, 0
Find o, given that o**3/2 - 47*o**2/2 - 209*o/2 + 255/2 = 0.
-5, 1, 51
Determine x, given that -4*x**5/3 + 197*x**4/3 - 2137*x**3/3 - 7174*x**2/3 - 3484*x/3 + 1352/3 = 0.
-2, -1, 1/4, 26
Factor 5*a**2 + 3160*a + 3155.
5*(a + 1)*(a + 631)
Factor 28*b**3 + 260*b**2 + 632*b + 160.
4*(b + 4)*(b + 5)*(7*b + 2)
Factor -3*k**4 - 15*k**3 + 24*k**2 + 36*k.
-3*k*(k - 2)*(k + 1)*(k + 6)
Factor -5*p**2 + 200*p + 205.
-5*(p - 41)*(p + 1)
Factor 3*b**4/8 + 45*b**3/8 - 6*b**2.
3*b**2*(b - 1)*(b + 16)/8
Find r, given that 2*r**2/5 + 34*r/5 = 0.
-17, 0
Find b, given that 2*b**4/3 - 7*b**3/3 - 2*b**2/3 + 7*b/3 = 0.
-1, 0, 1, 7/2
Find f, given that 3*f**4/5 + 66*f**3/5 - 3*f**2/5 - 66*f/5 = 0.
-22, -1, 0, 1
What is a in -3*a**5/4 - 15*a**4/4 + 57*a**3/2 + 9*a**2/2 - 351*a/4 - 243/4 = 0?
-9, -1, 3
Solve -10*f**2/7 - 92*f/7 + 32 = 0 for f.
-56/5, 2
Suppose -q**3/6 - 32*q**2/3 + 22*q = 0. What is q?
-66, 0, 2
Find a, given that -3*a**3/8 - 51*a**2/4 - 609*a/8 + 825/4 = 0.
-25, -11, 2
Factor 5*m**2/6 - 320*m/3 - 650/3.
5*(m - 130)*(m + 2)/6
Solve 2*p**4/5 - 8*p**3/5 + 4*p**2/5 + 8*p/5 - 6/5 = 0.
-1, 1, 3
Find s such that -4*s**5/9 + 68*s**3/9 - 16*s**2 + 80*s/9 = 0.
-5, 0, 1, 2
Solve -b**4 + 92*b**3 - 2205*b**2 + 4050*b = 0.
0, 2, 45
Factor 5*t**3 - 45*t**2 - 125*t + 165.
5*(t - 11)*(t - 1)*(t + 3)
Factor -2*a**2 + 86*a/11 + 120/11.
-2*(a - 5)*(11*a + 12)/11
Suppose -i**3/2 + 9*i**2/2 - 12*i + 10 = 0. Calculate i.
2, 5
Factor -2*h**3/5 + 152*h**2/5 + 474*h/5.
-2*h*(h - 79)*(h + 3)/5
Find i, given that -4*i**3 - 12*i**2 + 16*i = 0.
-4, 0, 1
Factor 3*l**4/5 - 3*l**3/5 - 108*l**2/5 + 108*l/5.
3*l*(l - 6)*(l - 1)*(l + 6)/5
Factor -2*b**2/7 - 5776*b/7 - 4170272/7.
-2*(b + 1444)**2/7
Let -4*t**3 - 4*t**2 + 8*t = 0. What is t?
-2, 0, 1
Factor w**2 - 118*w + 3481.
(w - 59)**2
Solve -2*l**2/9 - 196*l/9 - 688/3 = 0 for l.
-86, -12
Let -2*h**3/11 - 3404*h**2/11 - 1451800*h/11 - 2890000/11 = 0. Calculate h.
-850, -2
Determine q, given that -q**3/2 - 39*q**2/2 - 37*q = 0.
-37, -2, 0
Find u such that -968*u**4/9 - 2398*u**3/9 - 292*u**2/3 + 128*u/9 + 64/9 = 0.
-2, -4/11, 1/4
Factor -4*k**2 + 84*k - 152.
-4*(k - 19)*(k - 2)
Let -2*r**3 + 208*r**2 - 808*r + 800 = 0. Calculate r.
2, 100
Suppose -p**2/6 - 53*p/3 = 0. What is p?
-106, 0
Factor 2*d**4 - 10*d**3 - 2*d**2 + 10*d.
2*d*(d - 5)*(d - 1)*(d + 1)
Factor 2*u**3 + 20*u**2 + 62*u + 60.
2*(u + 2)*(u + 3)*(u + 5)
Factor 4*m**3 - 12*m**2 + 12*m - 4.
4*(m - 1)**3
Solve -27*b**4 - 1059*b**3 + 1953*b**2 - 621*b - 246 = 0.
-41, -2/9, 1
Factor 4*u**2/3 + 952*u/3 + 56644/3.
4*(u + 119)**2/3
Find y, given that -5*y**5 - 5*y**4 + 120*y**3 - 200*y**2 - 80*y + 240 = 0.
-6, -1, 2
Factor 3*q**3/5 - 516*q**2/5 + 4731*q - 124002/5.
3*(q - 83)**2*(q - 6)/5
Let -j**2/3 - 25*j - 146/3 = 0. What is j?