is w?
-26, 3/5
Factor 5*f**3 + 670*f**2 + 3245*f + 2580.
5*(f + 1)*(f + 4)*(f + 129)
Let -2*y**2/7 + 12*y/7 + 144/7 = 0. What is y?
-6, 12
Factor 34*c**3/7 - 240*c**2/7 + 422*c/7 - 24/7.
2*(c - 4)*(c - 3)*(17*c - 1)/7
What is h in 2*h**5 - 346*h**4/7 + 866*h**3/7 - 662*h**2/7 + 40*h/7 + 88/7 = 0?
-2/7, 1, 22
Solve 4*h**4 - 24*h**3 + 36*h**2 + 16*h - 48 = 0.
-1, 2, 3
What is r in -2*r**5/3 + 506*r**4/15 - 4876*r**3/15 - 38992*r**2/15 - 46144*r/15 - 12544/15 = 0?
-4, -1, -2/5, 28
Factor 2*t**3/5 + 116*t**2/5 - 2*t/5 - 116/5.
2*(t - 1)*(t + 1)*(t + 58)/5
Let -5*a**3 + 70*a**2 - 145*a - 220 = 0. What is a?
-1, 4, 11
Determine s so that s**2 + 12*s - 13 = 0.
-13, 1
Factor 2*k**3 + 68*k**2 - 8*k - 272.
2*(k - 2)*(k + 2)*(k + 34)
Factor x**4/7 + 4*x**3/7 - 11*x**2/7 + 6*x/7.
x*(x - 1)**2*(x + 6)/7
Factor -2*d**4 - 25*d**3/2 + 11*d**2 + 7*d/2.
-d*(d - 1)*(d + 7)*(4*d + 1)/2
Factor 2*w**4/13 + 20*w**3/13 + 18*w**2/13.
2*w**2*(w + 1)*(w + 9)/13
Suppose -k**3/2 + 483*k**2/2 - 29040*k - 29282 = 0. What is k?
-1, 242
Let -n**2/6 - 13*n/6 - 11/3 = 0. What is n?
-11, -2
Let 11*o**2/4 + 7*o/4 - 30 = 0. What is o?
-40/11, 3
Factor q**3 + 3*q**2 - 9*q - 27.
(q - 3)*(q + 3)**2
Factor 2*h**2/3 - 364*h/3 + 16562/3.
2*(h - 91)**2/3
Factor 15*r**3 - 309*r**2 - 126*r.
3*r*(r - 21)*(5*r + 2)
Factor 3*b**5 - 163*b**4 + 54*b**3.
b**3*(b - 54)*(3*b - 1)
What is p in -2*p**4/5 - 38*p**3/5 - 246*p**2/5 - 602*p/5 - 392/5 = 0?
-7, -4, -1
Let 121*q**5 + 44*q**4 - 480*q**3 - 176*q**2 - 16*q = 0. What is q?
-2, -2/11, 0, 2
Find j such that 4*j**5 + 76*j**4 - 96*j**3 - 304*j**2 + 320*j = 0.
-20, -2, 0, 1, 2
Factor 3*n**4/5 + 42*n**3/5 + 192*n**2/5 + 342*n/5 + 189/5.
3*(n + 1)*(n + 3)**2*(n + 7)/5
Factor 3*o**5 - 15*o**4 + 18*o**3 + 6*o**2 - 21*o + 9.
3*(o - 3)*(o - 1)**3*(o + 1)
What is q in 9*q**4 - 57*q**3 - 117*q**2 - 27*q + 24 = 0?
-1, 1/3, 8
Let 44*z**2 + 156*z + 72 = 0. Calculate z.
-3, -6/11
Suppose -2*h**4/17 - 40*h**3/17 - 212*h**2/17 - 24*h - 234/17 = 0. What is h?
-13, -3, -1
Factor -g**2 - 978*g - 239121.
-(g + 489)**2
Factor 3*n**3/4 - 339*n**2/4 + 2262*n + 7569.
3*(n - 58)**2*(n + 3)/4
Solve 1076403*h**3/2 + 1065621*h**2/2 - 10755*h/2 + 27/2 = 0 for h.
-1, 3/599
Factor 3*l**2/5 + 408*l/5.
3*l*(l + 136)/5
Factor c**2/3 + 43*c/3 - 44/3.
(c - 1)*(c + 44)/3
Suppose 4*q**2/3 - 424*q + 33708 = 0. Calculate q.
159
Factor u**2/4 + 122*u + 14884.
(u + 244)**2/4
Let -10*u**5 - 37*u**4 + 32*u**3 + 114*u**2 - 126*u + 27 = 0. Calculate u.
-3, 3/10, 1
Suppose -n**3 + 24*n**2 + 27*n - 50 = 0. What is n?
-2, 1, 25
Solve 34*z**2/9 + 16*z/9 - 2 = 0.
-1, 9/17
Find z, given that 2*z**3 - 4*z**2 - 352*z + 1344 = 0.
-14, 4, 12
Factor -b**5/3 - b**4 - 2*b**3/3 + 2*b**2/3 + b + 1/3.
-(b - 1)*(b + 1)**4/3
Find m, given that -m**2 + 208*m + 420 = 0.
-2, 210
Find l, given that -l**3/2 - 6*l**2 - 27*l/2 + 20 = 0.
-8, -5, 1
Solve 4*p**3 - 52*p**2 - 116*p - 60 = 0 for p.
-1, 15
Factor -v**2 + 26*v - 153.
-(v - 17)*(v - 9)
Factor -2*m**5/11 + 64*m**4/11 - 290*m**3/11 - 3436*m**2/11 - 8056*m/11 - 5776/11.
-2*(m - 19)**2*(m + 2)**3/11
Factor s**2/6 + 7*s + 41/6.
(s + 1)*(s + 41)/6
Suppose -q**4/4 + 13*q**3/2 + 91*q**2 - 26*q - 360 = 0. What is q?
-10, -2, 2, 36
Solve -2*m**4/7 + 1854*m**3/7 - 1850*m**2/7 - 1854*m/7 + 1852/7 = 0 for m.
-1, 1, 926
Suppose b**2/7 + 18*b/7 + 17/7 = 0. Calculate b.
-17, -1
Factor 26*q**2/11 + 82*q/11 + 12/11.
2*(q + 3)*(13*q + 2)/11
Determine k, given that -k**4 + 2*k**3 + 27*k**2 + 52*k + 28 = 0.
-2, -1, 7
Factor -5*l**3 - 1255*l**2 - 1250*l.
-5*l*(l + 1)*(l + 250)
Factor -25*g**3 - 460*g**2 - 1305*g - 450.
-5*(g + 3)*(g + 15)*(5*g + 2)
Factor -2*j**2/13 - 138*j/13 + 740/13.
-2*(j - 5)*(j + 74)/13
Factor -3*g**2 + 135*g + 432.
-3*(g - 48)*(g + 3)
Suppose -j**3/5 + 43*j**2/5 - 391*j/5 - 1587/5 = 0. What is j?
-3, 23
Factor -3*s**4/5 - 21*s**3/5 + 3*s**2/5 + 21*s/5.
-3*s*(s - 1)*(s + 1)*(s + 7)/5
Suppose 140*f**5 + 1165*f**4 + 2580*f**3 + 560*f**2 - 320*f = 0. What is f?
-4, -4/7, 0, 1/4
Factor -4*k**5/3 - 20*k**4/3.
-4*k**4*(k + 5)/3
Suppose -2*t**4/9 + 8*t**3 - 92*t**2 + 360*t - 450 = 0. Calculate t.
3, 15
Suppose -2*j**3 - 216*j**2 - 426*j - 212 = 0. Calculate j.
-106, -1
Factor -3*d**4 - 3*d**3 + 45*d**2 + 27*d - 162.
-3*(d - 3)*(d - 2)*(d + 3)**2
Find u such that -2*u**3 + 174*u**2 + 2*u - 174 = 0.
-1, 1, 87
Factor 3*d**4/2 + 51*d**3/2 + 45*d**2.
3*d**2*(d + 2)*(d + 15)/2
Let -m**3/5 - 7*m**2/5 - 6*m/5 = 0. What is m?
-6, -1, 0
Solve -k**4/10 - k**3/2 - 2*k**2/5 = 0 for k.
-4, -1, 0
Let -2*i**2/9 + 4*i/9 = 0. What is i?
0, 2
Factor 2*a**3 + 36*a**2 + 34*a.
2*a*(a + 1)*(a + 17)
Solve -15*a**3/7 - 456*a**2/7 - 1020*a/7 - 48 = 0.
-28, -2, -2/5
Factor -3*m**2 + 216*m - 3888.
-3*(m - 36)**2
Find v such that -2*v**3/7 + 62*v**2/7 - 60*v/7 = 0.
0, 1, 30
Determine t so that -22*t**5/9 - 16*t**4/9 + 28*t**3/9 + 16*t**2/9 - 2*t/3 = 0.
-1, 0, 3/11, 1
Suppose 5*i**3/4 + 235*i**2/4 - 775*i/2 + 530 = 0. Calculate i.
-53, 2, 4
Factor -4*z**3 - 1488*z**2 - 184512*z - 7626496.
-4*(z + 124)**3
Solve -3*t**3/4 - 135*t**2/4 - 63*t/2 + 66 = 0.
-44, -2, 1
Suppose -5*p**4/3 + 25*p**3 + 5*p**2/3 - 25*p = 0. Calculate p.
-1, 0, 1, 15
Suppose 2645*m**5 + 1955*m**4 - 3290*m**3 - 1910*m**2 + 645*m - 45 = 0. Calculate m.
-1, 3/23, 1
Find d such that d**4/8 - 23*d**3/8 + 25*d**2/4 + 287*d/2 - 147 = 0.
-6, 1, 14
Solve -h**2/2 - 5*h/2 - 3 = 0 for h.
-3, -2
Suppose g**3/9 + 16*g**2/9 - 151*g/9 + 230/9 = 0. Calculate g.
-23, 2, 5
Solve a**2 + 558*a + 557 = 0.
-557, -1
Find h such that -h**3/4 + 3*h + 4 = 0.
-2, 4
Find j such that -3*j**2 - 11796*j - 11595468 = 0.
-1966
Factor 4*p**3 + 16*p**2/5 - 36*p/5.
4*p*(p - 1)*(5*p + 9)/5
Solve a**2 + 2738*a + 1874161 = 0.
-1369
Factor -3*d**2/5 - 9*d - 78/5.
-3*(d + 2)*(d + 13)/5
Solve -3*x**4 + 357*x**3 - 699*x**2 - 357*x + 702 = 0 for x.
-1, 1, 2, 117
What is v in 6*v**4/11 + 318*v**3/11 + 300*v**2/11 - 624*v/11 = 0?
-52, -2, 0, 1
Factor -6*p**2 - 129*p + 441.
-3*(p - 3)*(2*p + 49)
Find s such that s**4/6 + 19*s**3/6 + 3*s**2 = 0.
-18, -1, 0
Factor 2*i**2 + 384*i + 1504.
2*(i + 4)*(i + 188)
Factor 5*l**2 + 50*l - 120.
5*(l - 2)*(l + 12)
Factor -c**2 + 53*c + 110.
-(c - 55)*(c + 2)
Factor -10*k**3 + 425*k**2 + 1630*k - 920.
-5*(k - 46)*(k + 4)*(2*k - 1)
Factor -2*j**2/11 + 52*j/11 - 338/11.
-2*(j - 13)**2/11
Factor 5*g**2 + 650*g + 645.
5*(g + 1)*(g + 129)
Let -2*v**2/19 + 22*v/19 = 0. What is v?
0, 11
Factor -2*d**4 - 158*d**3 + 2*d**2 + 158*d.
-2*d*(d - 1)*(d + 1)*(d + 79)
What is i in i**2/4 - 57*i + 3249 = 0?
114
Solve -4*r**2 + 28*r = 0.
0, 7
Factor -y**5/4 - 3*y**4/4 + 3*y**3/2 + 5*y**2/2 - 21*y/4 + 9/4.
-(y - 1)**3*(y + 3)**2/4
Suppose -w**2/7 - 165*w/7 = 0. What is w?
-165, 0
Let -2*t**3 + 5*t**2 + 11*t + 4 = 0. What is t?
-1, -1/2, 4
Determine a so that a**3/5 - 39*a**2/5 - 432*a/5 = 0.
-9, 0, 48
Suppose -f**2 + 38*f + 264 = 0. What is f?
-6, 44
Determine w so that 5*w**4 + 360*w**3 + 9600*w**2 + 112000*w + 480000 = 0.
-20, -12
Factor -2*p**4 - 16*p**3 + 20*p**2 + 16*p - 18.
-2*(p - 1)**2*(p + 1)*(p + 9)
Determine s so that -s**5/6 + s**4/2 + 5*s**3/2 - 55*s**2/6 + s + 12 = 0.
-4, -1, 2, 3
Factor -4*s**3/5 - 404*s**2/5 - 2156*s - 28812/5.
-4*(s + 3)*(s + 49)**2/5
Determine o so that -5*o**3 + 75*o**2 - 235*o - 315 = 0.
-1, 7, 9
Find i, given that -6*i**5 - 11*i**4 + 37*i**3 + 113*i**2 + 101*i + 30 = 0.
-2, -1, -5/6, 3
Suppose -35*d**3 - 11470*d**2 - 938080*d + 268960 = 0. Calculate d.
-164, 2/7
Solve 8*f**5/9 + 206*f**4/3 + 1300*f**3 - 1014*f**2 = 0.
-39, 0, 3/4
Find b such that 7*b**4/2 + 149*b**3/2 + 315*b**2/2 + 211*b/2 + 19 = 0.
-19, -1, -2/7
Factor o**3/5 - 17*o**2/5 + 91*o/5 - 147/5.
(o - 7)**2*(o - 3)/5
Factor -5*s**2 + 80.
-5*(s - 4)*(s + 4)
Factor 2*j**2/3 - 14*j + 40/3.
2*(j - 20)*(j - 1)/3
Solve y**5/8 - 3*y**4 + 107*y**3/4 - 105*y**2 + 1225*y/8 = 0 for y.
0, 5, 7
Factor -5*y**2 - 60*y - 160.
-5*(y + 4)*(y + 8)
Factor -2*t**4 + 6*t**3 - 4*t**2.
-2*t**2*(t - 2)*(t - 1)
Factor d**5 - 25*d**4 + 115*d**3 + 505*d**2 + 560*d + 196.
(d - 14)**2*(d + 1)**3
Suppose -2*s**5/7 + 8*s**4/7 - 20*s**2/7 + 2*s/7 + 12/7 = 0. Calculate s.
-1, 1, 2, 3
Determine b so that -9*b**5/5 - 498*b**4/5 - 1344*b**3 + 4704*b**2/5 = 0.
-28, 0, 2/3
Factor -r**3 + 85*r**2 - 167*r + 83.
-(r - 83)*(r - 1)**2
Factor 2*r**3/13 - 28*r**2/13 + 126*r/13 - 180/13.
2*(r - 6