2*(t + 24)**2/3
Determine p, given that 2*p**4/7 - 18*p**3/7 + 36*p**2/7 + 64*p/7 - 192/7 = 0.
-2, 3, 4
Factor -5*m**4 - 1270*m**3 - 81905*m**2 - 160020*m - 79380.
-5*(m + 1)**2*(m + 126)**2
Factor -6*g**3 + 23*g**2 + 4*g.
-g*(g - 4)*(6*g + 1)
Factor -4*d**3 + 36*d**2 + 40*d.
-4*d*(d - 10)*(d + 1)
Suppose -44*x**4/17 + 38*x**3 - 2580*x**2/17 + 1526*x/17 - 196/17 = 0. What is x?
2/11, 1/2, 7
Factor f**4/2 + 29*f**3/2 + 112*f**2 + 98*f.
f*(f + 1)*(f + 14)**2/2
Factor -m**4/7 + 333*m**3/7 + 669*m**2/7 + 335*m/7.
-m*(m - 335)*(m + 1)**2/7
Let -5*n**3 + 10*n**2 + 55*n - 60 = 0. Calculate n.
-3, 1, 4
Factor n**4 + 16*n**3 - 35*n**2 + 18*n.
n*(n - 1)**2*(n + 18)
Suppose -3*g**2 - 14643*g + 14646 = 0. What is g?
-4882, 1
Factor u**4/2 - 13*u**3 + 213*u**2/2 - 230*u - 350.
(u - 10)**2*(u - 7)*(u + 1)/2
Factor z**2 + 103*z/3 - 70/3.
(z + 35)*(3*z - 2)/3
Solve -3*t**2/4 - 15*t - 75 = 0.
-10
What is j in -2*j**5/17 - 10*j**4/17 + 2*j**3 + 250*j**2/17 + 368*j/17 + 160/17 = 0?
-4, -1, 5
Factor 2*w**5 + 2*w**4 - 10*w**3 + 6*w**2.
2*w**2*(w - 1)**2*(w + 3)
Let -6*g**3 + 32*g**2 - 34*g + 8 = 0. What is g?
1/3, 1, 4
Suppose -2*v**2 - 904*v - 102152 = 0. Calculate v.
-226
Factor -129*f**2/5 - 102*f + 24/5.
-3*(f + 4)*(43*f - 2)/5
Find s, given that -5*s**5 + 710*s**4 + 715*s**3 = 0.
-1, 0, 143
Determine n so that -18*n**2/19 - 194*n/19 + 44/19 = 0.
-11, 2/9
Let 2*h**4/5 + 6*h**3/5 = 0. What is h?
-3, 0
Factor -s**4/2 - 55*s**3/2 - 159*s**2/2 - 157*s/2 - 26.
-(s + 1)**3*(s + 52)/2
Factor -3*f**3 - 6*f**2 + 3*f + 6.
-3*(f - 1)*(f + 1)*(f + 2)
Solve -r**2/9 - 17*r = 0 for r.
-153, 0
Factor -m**2/3 + 1/3.
-(m - 1)*(m + 1)/3
Let -12167*x**5/3 - 5290*x**4 + 5267*x**3/3 + 14870*x**2/3 + 2300*x + 1000/3 = 0. Calculate x.
-1, -10/23, 1
Factor 28*k**2 + 440*k - 128.
4*(k + 16)*(7*k - 2)
Determine i so that i**2/6 + 872*i + 1140576 = 0.
-2616
Let 4*p**5/3 - 98*p**4/3 - 422*p**3/3 + 842*p**2/3 - 46*p/3 - 280/3 = 0. What is p?
-5, -1/2, 1, 28
Solve 4*g**2/5 + 288*g/5 + 5184/5 = 0.
-36
Factor 4*o**3/3 - 16*o**2/3 - 124*o/3 + 280/3.
4*(o - 7)*(o - 2)*(o + 5)/3
Find o such that -16*o**4/3 + 356*o**3/3 + 280*o**2/3 - 92*o/3 = 0.
-1, 0, 1/4, 23
Factor f**2/2 - 59*f/2 - 840.
(f - 80)*(f + 21)/2
Factor -v**4/3 + 41*v**3/3 - 118*v**2 - 1364*v/3 - 968/3.
-(v - 22)**2*(v + 1)*(v + 2)/3
Factor -2*a**2 + 692*a - 59858.
-2*(a - 173)**2
Factor 4*a**4 + 48*a**3 - 1068*a**2 + 2408*a + 9408.
4*(a - 7)**2*(a + 2)*(a + 24)
Factor -2*a**2/17 + 22*a/17 - 20/17.
-2*(a - 10)*(a - 1)/17
Let -2*o**2 + 68*o + 222 = 0. What is o?
-3, 37
Suppose -54*u**5 + 255*u**4 - 351*u**3 + 66*u**2 + 108*u - 24 = 0. Calculate u.
-1/2, 2/9, 1, 2
Determine h, given that -348*h**3 + 704*h**2 - 364*h + 8 = 0.
2/87, 1
Factor 3*m**3/5 - 158*m**2/5 - 1543*m/5 + 1098/5.
(m - 61)*(m + 9)*(3*m - 2)/5
Factor 3*r**4 + 2136*r**3 + 570312*r**2 + 67677024*r + 3011627568.
3*(r + 178)**4
Factor 2*r**3/5 - 62*r**2 + 916*r/5 - 608/5.
2*(r - 152)*(r - 2)*(r - 1)/5
What is o in -2*o**4/5 - 324*o**3/5 + 654*o**2/5 - 328*o/5 = 0?
-164, 0, 1
Find h, given that 6*h**2 - 39*h - 21 = 0.
-1/2, 7
Factor 10*n**3 + 26*n**2 - 1312*n + 520.
2*(n - 10)*(n + 13)*(5*n - 2)
Suppose -3*q**5/4 - 13*q**4/2 - 39*q**3/2 - 22*q**2 - 15*q/4 + 9/2 = 0. Calculate q.
-3, -2, -1, 1/3
What is z in z**2 + 94*z + 2209 = 0?
-47
Let 5*c**2 - 475*c - 970 = 0. What is c?
-2, 97
Determine k so that -k**3/3 + 5*k**2/3 + 2*k/3 - 8 = 0.
-2, 3, 4
Factor k**2/5 - 17*k/5 + 52/5.
(k - 13)*(k - 4)/5
Find g, given that 2*g**3 + 38*g**2 + 68*g = 0.
-17, -2, 0
Factor -3*w**5/5 - 171*w**4/5 + 174*w**3/5.
-3*w**3*(w - 1)*(w + 58)/5
Factor -a**4/4 - 3*a**3/4 - 3*a**2/4 - a/4.
-a*(a + 1)**3/4
Find z, given that 1300*z**5 + 20340*z**4 - 8152*z**3 - 12752*z**2 - 1248*z + 512 = 0.
-16, -2/5, 2/13, 1
Factor 5*o**5 + 40*o**4 - 290*o**2 + 395*o - 150.
5*(o - 1)**3*(o + 5)*(o + 6)
Determine k so that 45*k**3/4 + 3955*k**2/2 + 6115*k/4 - 875/2 = 0.
-175, -1, 2/9
Solve -2*r**3/3 - 34*r**2/3 - 88*r/3 - 56/3 = 0 for r.
-14, -2, -1
Factor 4*w**4 - 8*w**3 - 12*w**2.
4*w**2*(w - 3)*(w + 1)
Let -g**3/4 - 42*g**2 + 171*g/4 + 169/2 = 0. What is g?
-169, -1, 2
Determine q so that -5*q**5 + 2330*q**4 + 14095*q**3 + 30620*q**2 + 28300*q + 9440 = 0.
-2, -1, 472
Factor -45*f**3/2 - 33*f**2/8 + 3*f/8.
-3*f*(4*f + 1)*(15*f - 1)/8
Let -3*y**4 + 90*y**3 - 351*y**2 - 4860*y - 8748 = 0. What is y?
-3, 18
Factor 3*s**4 - 242*s**3 - 327*s**2 - 82*s.
s*(s - 82)*(s + 1)*(3*s + 1)
Factor 3*i**2 - 432*i + 4752.
3*(i - 132)*(i - 12)
Factor -10*n**2 + 175*n + 90.
-5*(n - 18)*(2*n + 1)
Solve -40*m**3 - 735*m**2 + 490*m + 285 = 0.
-19, -3/8, 1
Factor -4*f**3/5 + 12*f**2/5 + 8*f.
-4*f*(f - 5)*(f + 2)/5
Suppose -3*l**3 + 96*l**2 - 267*l + 174 = 0. Calculate l.
1, 2, 29
Factor 2*n**3 - 2520*n**2 - 2522*n.
2*n*(n - 1261)*(n + 1)
Factor 3*o**2 + 33*o + 30.
3*(o + 1)*(o + 10)
Factor -5*s**3 - 55*s**2 - 15*s + 675.
-5*(s - 3)*(s + 5)*(s + 9)
Suppose 2*d**2/5 - 62*d/5 + 12 = 0. What is d?
1, 30
Suppose 3*t**3 + 21*t**2 - 84*t + 60 = 0. What is t?
-10, 1, 2
Solve 3*m**2 + 99*m - 444 = 0 for m.
-37, 4
Factor -2*o**4 + 48*o**3 - 22*o**2 - 552*o.
-2*o*(o - 23)*(o - 4)*(o + 3)
Suppose 5*j**5/3 + 20*j**4/3 + 10*j**3 + 20*j**2/3 + 5*j/3 = 0. What is j?
-1, 0
Factor 5*p**2/7 - 42*p - 59/7.
(p - 59)*(5*p + 1)/7
Determine b, given that -b**4/3 - 20*b**3/3 - 19*b**2/3 = 0.
-19, -1, 0
Solve k**3 - 394*k**2 + 785*k - 392 = 0.
1, 392
Factor 5*u**3 - 110*u**2 + 445*u + 560.
5*(u - 16)*(u - 7)*(u + 1)
Factor -5*y**2 + 1290*y - 83205.
-5*(y - 129)**2
Factor -x**2 - 53*x/3 + 6.
-(x + 18)*(3*x - 1)/3
Find o such that 4*o**2 + 8*o - 60 = 0.
-5, 3
Determine s, given that -2*s**4/9 + 6*s**3 + 124*s**2/9 - 24*s - 464/9 = 0.
-2, 2, 29
Let 15*b**5 + 201*b**4 + 1008*b**3 + 2292*b**2 + 2208*b + 576 = 0. What is b?
-4, -3, -2, -2/5
Determine k so that -k**3 + 61*k**2 - 899*k - 961 = 0.
-1, 31
Factor -z**3/2 - 4*z**2 - 6*z.
-z*(z + 2)*(z + 6)/2
Factor -7*x**5/6 + 3*x**4 - 2*x**3 - x**2/3 + x/2.
-x*(x - 1)**3*(7*x + 3)/6
Factor -a**4/4 + 3*a**3/4 + 3*a**2/4 - 11*a/4 + 3/2.
-(a - 3)*(a - 1)**2*(a + 2)/4
Factor 5*f**4 - 240*f**3 - 245*f**2.
5*f**2*(f - 49)*(f + 1)
What is j in 2*j**2/3 - 1520*j + 866400 = 0?
1140
Factor 3*o**5/5 + 714*o**4/5 + 38763*o**3/5 - 88536*o**2 + 230640*o.
3*o*(o - 5)**2*(o + 124)**2/5
Determine w, given that -2*w**4/3 - 68*w**3/3 - 506*w**2/3 + 408*w - 216 = 0.
-18, 1
Let 9*a**5 + 731*a**4 + 3609*a**3 + 2737*a**2 - 5718*a - 1368 = 0. What is a?
-76, -3, -2/9, 1
Let -6*y**5 + 404*y**4/7 + 72*y**3 - 8016*y**2/7 - 448*y + 1536/7 = 0. Calculate y.
-4, -2/3, 2/7, 6, 8
Let -2*l**4/7 - 10*l**3/7 - 16*l**2/7 - 8*l/7 = 0. Calculate l.
-2, -1, 0
Factor -49*q**4/2 + 721*q**3 + 418*q**2 + 60*q.
-q*(q - 30)*(7*q + 2)**2/2
Factor 2*q**2/9 + 32*q/9 - 8.
2*(q - 2)*(q + 18)/9
Suppose -d**4 + 4*d**2 = 0. What is d?
-2, 0, 2
Factor -25*d**2 - 20*d + 5.
-5*(d + 1)*(5*d - 1)
Factor -5*x**2 + 560*x - 15680.
-5*(x - 56)**2
Solve 4*w**3 - 24*w**2 - 64*w = 0.
-2, 0, 8
Determine o so that 2*o**5 + 24*o**4 - 6*o**3 - 76*o**2 - 48*o = 0.
-12, -1, 0, 2
Factor -5*v**5 + 15*v**3 - 10*v**2.
-5*v**2*(v - 1)**2*(v + 2)
Factor k**3/12 - 2*k**2/3 - k/3 + 8/3.
(k - 8)*(k - 2)*(k + 2)/12
Factor i**5/3 - 4*i**4/3 + i**3/3 + 2*i**2.
i**2*(i - 3)*(i - 2)*(i + 1)/3
Factor -2*k**2/11 + 162*k/11.
-2*k*(k - 81)/11
Factor 5*z**3 + 1510*z**2 + 3005*z + 1500.
5*(z + 1)**2*(z + 300)
Factor 9*k**4/8 - 87*k**3/4 - 15*k**2.
3*k**2*(k - 20)*(3*k + 2)/8
Factor 2*z**2/17 - 140*z/17 + 2450/17.
2*(z - 35)**2/17
Determine b, given that -b**3 - 9*b**2 + 405*b + 4725 = 0.
-15, 21
Factor 3645*c**4 + 1215*c**3 - 1890*c**2 + 500*c - 40.
5*(c + 1)*(9*c - 2)**3
Factor -2*k**4 + 626*k**3 + 632*k**2 - 1256*k.
-2*k*(k - 314)*(k - 1)*(k + 2)
Find r, given that 18*r**4/5 - 74*r**3/5 + 96*r**2/5 - 8*r = 0.
0, 1, 10/9, 2
Solve -4*k**3 - 2032*k**2 + 4*k + 2032 = 0 for k.
-508, -1, 1
Suppose -3*k**4 + 33*k**3 - 45*k**2 - 81*k = 0. Calculate k.
-1, 0, 3, 9
Let -40*m**4 + 220*m**3 - 270*m**2 + 125*m - 20 = 0. Calculate m.
1/2, 4
Suppose -7*w**4/8 - 103*w**3/8 - 40*w**2 + 25*w/2 = 0. What is w?
-10, -5, 0, 2/7
Factor 2*v**4/5 + 24*v**3/5 + 18*v**2/5 - 44*v/5.
2*v*(v - 1)*(v + 2)*(v + 11)/5
Determine f, given that -845*f**3 - 1300*f**2 - 500*f = 0.
-10/13, 0
Suppose 50*t**3/7 - 40*t**2 - 118*t/7 - 12/7 = 0.