 - 12*y**3 - 6*y**2 = 0?
-2, -1, 0
Suppose 5*j**2 - 520*j + 515 = 0. Calculate j.
1, 103
Factor 70*b**2 + 135*b + 65.
5*(b + 1)*(14*b + 13)
Suppose -w**5/5 + 4*w**4/5 + 21*w**3/5 - 20*w**2 + 20*w = 0. Calculate w.
-5, 0, 2, 5
Factor 3*j**2 + 15*j - 42.
3*(j - 2)*(j + 7)
Let -2*z**5 - 8*z**4 + 46*z**3 + 324*z**2 + 648*z + 432 = 0. Calculate z.
-3, -2, 6
Factor -c**5 + 60*c**4 - 900*c**3.
-c**3*(c - 30)**2
Solve -2*w**2/3 + 18*w - 100/3 = 0.
2, 25
Find b, given that 3*b**4 - 447*b**3 + 1755*b**2 - 2181*b + 870 = 0.
1, 2, 145
Let -108*f**5 + 972*f**4 - 360*f**3 - 3632*f**2 - 3104*f - 768 = 0. What is f?
-2/3, 3, 8
Suppose b**4/3 - 5*b**3/3 + 2*b**2/3 + 20*b/3 - 8 = 0. Calculate b.
-2, 2, 3
Let -5*j**4/6 - 146*j**3/3 - 199*j**2/3 + 10*j + 57/2 = 0. What is j?
-57, -1, 3/5
Factor -v**2/4 + 875*v/4 - 437/2.
-(v - 874)*(v - 1)/4
Factor -2*q**3/9 + 2882*q**2/9 + 5770*q/9 + 962/3.
-2*(q - 1443)*(q + 1)**2/9
Suppose -6*x**2 - 57*x - 27 = 0. What is x?
-9, -1/2
Factor 4*a**4 + 264*a**3 + 260*a**2.
4*a**2*(a + 1)*(a + 65)
Factor j**3 + 276*j**2 - 1116*j + 1120.
(j - 2)**2*(j + 280)
Suppose -2*l**2/9 - 916*l/9 - 898 = 0. Calculate l.
-449, -9
Find u, given that -2*u**4/5 + 62*u**3/5 - 594*u**2/5 + 242*u + 5324/5 = 0.
-2, 11
Determine x, given that -3*x**4 + 147*x**3 + 789*x**2 + 1125*x + 486 = 0.
-3, -1, 54
Factor d**2 + 40*d + 400.
(d + 20)**2
Determine m, given that 2*m**5 + 8*m**4 - 30*m**3 - 36*m**2 = 0.
-6, -1, 0, 3
Solve -5*a**3 + 20*a**2 - 15*a = 0.
0, 1, 3
Determine s, given that -25*s**2 - 3890*s - 2325 = 0.
-155, -3/5
What is c in -5*c**5 - 575*c**4/3 + 2975*c**3/3 - 1525*c**2/3 - 860*c/3 = 0?
-43, -1/3, 0, 1, 4
Suppose -2*z**3 - 132*z**2 - 738*z + 53792 = 0. What is z?
-41, 16
Find h, given that 2*h**4/19 + 68*h**3/19 + 130*h**2/19 + 64*h/19 = 0.
-32, -1, 0
Let 3*u**3 + 18*u**2 + 33*u + 18 = 0. Calculate u.
-3, -2, -1
Let -r**2 + 1208*r - 364816 = 0. What is r?
604
Factor 14*j**2 + 780*j - 224.
2*(j + 56)*(7*j - 2)
Factor 3*z**2/4 + 1251*z/2 + 521667/4.
3*(z + 417)**2/4
Factor 6*s**4 - 225*s**3 - 1437*s**2 + 774*s.
3*s*(s - 43)*(s + 6)*(2*s - 1)
Determine v so that 18*v**5 - 113*v**4 + 235*v**3 - 185*v**2 + 27*v + 18 = 0.
-2/9, 1, 3/2, 3
What is k in -4*k**4 + 826*k**3 - 2048*k**2 + 1634*k - 408 = 0?
1/2, 1, 204
Find c such that -2*c**2/7 + 12*c/7 - 16/7 = 0.
2, 4
Factor 2*u**4 - 118*u**3 + 340*u**2 - 224*u.
2*u*(u - 56)*(u - 2)*(u - 1)
Let -2*p**3/3 + 8*p**2/3 = 0. Calculate p.
0, 4
Solve -2*p**2/5 + 264*p/5 + 162 = 0 for p.
-3, 135
Solve -y**2/2 + 11*y/2 - 12 = 0 for y.
3, 8
Find v such that -6*v**5 - 117*v**4 - 357*v**3 - 342*v**2 - 96*v = 0.
-16, -2, -1, -1/2, 0
Determine h so that h**5 - 16*h**4 - 20*h**3 + 50*h**2 + 19*h - 34 = 0.
-2, -1, 1, 17
Factor 2*o**3 - 202*o**2 + 398*o - 198.
2*(o - 99)*(o - 1)**2
Factor -g**4 - 20*g**3 + 3*g**2 + 58*g - 40.
-(g - 1)**2*(g + 2)*(g + 20)
Factor 2*z**2/9 + 352*z/9 + 15488/9.
2*(z + 88)**2/9
Factor 93312*s**3/5 + 54432*s**2/5 + 10584*s/5 + 686/5.
2*(36*s + 7)**3/5
Let -2*l**2/7 + 32*l/7 + 34/7 = 0. Calculate l.
-1, 17
Let -2*h**2/5 + 2*h/5 + 84/5 = 0. What is h?
-6, 7
Suppose 426*s**3/5 - 1719*s**2/5 + 1764*s/5 - 12 = 0. What is s?
5/142, 2
Factor 2*x**4/13 - 4*x**3/13 - 82*x**2/13 + 84*x/13.
2*x*(x - 7)*(x - 1)*(x + 6)/13
What is p in 12*p**5 - 664*p**4 + 212*p**3 + 440*p**2 = 0?
-2/3, 0, 1, 55
Determine f, given that -2*f**2/5 - 1564*f/5 - 305762/5 = 0.
-391
What is z in z**3 + 2*z**2 = 0?
-2, 0
Factor -p**2/9 - 100*p/3 + 301/9.
-(p - 1)*(p + 301)/9
Solve -3*b**4 - 846*b**3 - 59643*b**2 = 0 for b.
-141, 0
Factor 3*j**3 - 5*j**2 - 11*j - 3.
(j - 3)*(j + 1)*(3*j + 1)
Solve -210*d**5/11 - 928*d**4/11 - 1200*d**3/11 - 384*d**2/11 - 32*d/11 = 0.
-2, -2/7, -2/15, 0
Factor -49*w**3/3 + 145*w**2/3 - 92*w/3 - 4/3.
-(w - 2)*(w - 1)*(49*w + 2)/3
Solve -t**2/3 - 11*t/3 = 0 for t.
-11, 0
Factor -3*a**3/5 + 84*a**2/5 - 567*a/5 + 486/5.
-3*(a - 18)*(a - 9)*(a - 1)/5
What is u in -u**4/9 + 7*u**3/9 + 3*u**2 - 7*u - 18 = 0?
-3, -2, 3, 9
Determine m so that -12*m**4 - 860*m**3 - 3640*m**2 + 7600*m + 6432 = 0.
-67, -6, -2/3, 2
Suppose -75*w**5 - 585*w**4 - 882*w**3 - 444*w**2 - 72*w = 0. What is w?
-6, -1, -2/5, 0
Solve q**3/4 + 85*q**2/4 - 89*q = 0 for q.
-89, 0, 4
Find a, given that a**3/4 - 3*a/4 - 1/2 = 0.
-1, 2
Factor -3*w**2 - 9*w.
-3*w*(w + 3)
Factor i**5 + 12*i**4 + 36*i**3.
i**3*(i + 6)**2
Let -531*i**2 + 525*i + 6 = 0. Calculate i.
-2/177, 1
Factor 2*v**3/11 + 4*v**2/11 - 2*v/11 - 4/11.
2*(v - 1)*(v + 1)*(v + 2)/11
What is j in -j**5/9 + j**4/9 + 5*j**3/9 + j**2/3 = 0?
-1, 0, 3
Solve -2*s**5/3 - 28*s**4/3 - 68*s**3/3 - 16*s**2/3 + 70*s/3 + 44/3 = 0.
-11, -2, -1, 1
Factor 4*b**5 - 24*b**4 - 40*b**3 + 64*b**2 + 132*b + 56.
4*(b - 7)*(b - 2)*(b + 1)**3
Solve -2*s**5/19 + 28*s**4/19 - 6*s**3 + 80*s**2/19 + 224*s/19 = 0.
-1, 0, 4, 7
Factor 4*z**4 + 16*z**3 - 12*z**2 - 40*z + 32.
4*(z - 1)**2*(z + 2)*(z + 4)
What is a in -a**3/8 - a**2/4 = 0?
-2, 0
Find y such that -2*y**2 + 288*y - 10368 = 0.
72
Let -14*r**5/17 - 150*r**4/17 - 292*r**3/17 + 152*r**2/17 + 432*r/17 - 128/17 = 0. Calculate r.
-8, -2, 2/7, 1
Factor 3*t**4 + 81*t**3 + 498*t**2 - 756*t - 1176.
3*(t - 2)*(t + 1)*(t + 14)**2
What is j in -3*j**5 - 15*j**4 - 18*j**3 + 6*j**2 + 21*j + 9 = 0?
-3, -1, 1
Factor -4*f**2/5 - 6504*f/5 - 1300.
-4*(f + 1)*(f + 1625)/5
Find r, given that 5*r**3 + 30*r**2 - 455*r = 0.
-13, 0, 7
Factor s**3 - 37*s**2 - 1849*s + 1885.
(s - 65)*(s - 1)*(s + 29)
Factor -y**4 - 164*y**3 - 9072*y**2 - 174960*y - 314928.
-(y + 2)*(y + 54)**3
Suppose 2*v**5 - 80*v**4 + 130*v**3 + 860*v**2 - 840*v - 2736 = 0. What is v?
-2, 3, 38
Let -5*z**3/4 - 5*z**2/4 + 5*z/2 = 0. Calculate z.
-2, 0, 1
Factor 2*y**3 - 42*y**2 + 136*y.
2*y*(y - 17)*(y - 4)
Factor -6*q**2 + 64*q - 40.
-2*(q - 10)*(3*q - 2)
Factor 5*j**4 + 80*j**3 + 300*j**2.
5*j**2*(j + 6)*(j + 10)
Suppose -3*d**4 - 21*d**3 - 24*d**2 + 48*d = 0. Calculate d.
-4, 0, 1
Factor 3*l**5 + 12*l**4 - 39*l**3 - 120*l**2 + 144*l.
3*l*(l - 3)*(l - 1)*(l + 4)**2
Factor -30*m**2/13 - 8*m/13 + 136/13.
-2*(m - 2)*(15*m + 34)/13
Determine g so that -3*g**2 - 42*g + 45 = 0.
-15, 1
Let 98*z**5 + 34454*z**4 + 3020816*z**3 - 1317896*z**2 - 1489664*z - 247808 = 0. What is z?
-176, -2/7, 1
Solve 5*l**2 - 35*l + 30 = 0 for l.
1, 6
Suppose -i**2/4 + 21*i/2 - 20 = 0. Calculate i.
2, 40
Determine j so that -4*j**5 + 6*j**4 + 44*j**3 - 48*j**2 - 40*j + 42 = 0.
-3, -1, 1, 7/2
Factor 2*z**3 + 34*z**2/5 - 44*z/5.
2*z*(z - 1)*(5*z + 22)/5
Let -3*d**2 + 3*d + 330 = 0. Calculate d.
-10, 11
Determine r, given that -4*r**2 - 16*r - 16 = 0.
-2
Solve 2*v**3/3 - 108*v**2 + 214*v - 320/3 = 0 for v.
1, 160
Factor 2*o**4 - 60*o**3 - 2856*o**2 + 5884*o - 2970.
2*(o - 55)*(o - 1)**2*(o + 27)
Factor 2*g**2/13 + 16*g/13.
2*g*(g + 8)/13
Solve 5*l**3 + 30*l**2 + 15*l - 50 = 0 for l.
-5, -2, 1
Solve 3*t**5 - 42*t**4 - 201*t**3 + 852*t**2 - 612*t = 0.
-6, 0, 1, 2, 17
Solve a**2/6 + 57*a + 9747/2 = 0 for a.
-171
Solve -5*y**4/3 - 25*y**3/3 + 5*y**2/3 + 25*y/3 = 0.
-5, -1, 0, 1
Find l, given that 2*l**2/5 - 56*l/5 + 54/5 = 0.
1, 27
Find h, given that 3*h**4/7 + 1308*h**3/7 + 142572*h**2/7 = 0.
-218, 0
Factor 4*x**5 - 92*x**4 + 708*x**3 - 2052*x**2 + 1944*x.
4*x*(x - 9)**2*(x - 3)*(x - 2)
Factor -5*t**5 + 45*t**4 - 120*t**3 + 100*t**2.
-5*t**2*(t - 5)*(t - 2)**2
Factor -y**3/2 + 69*y**2/2 - 1287*y/2 + 3267/2.
-(y - 33)**2*(y - 3)/2
Factor 5*f**3 + 930*f**2 + 925*f.
5*f*(f + 1)*(f + 185)
Determine d so that 3*d**2/5 + 201*d/5 = 0.
-67, 0
Solve 2*n**4/5 - 12*n**3/5 + 16*n**2/5 = 0 for n.
0, 2, 4
Factor 5*b**3 + 175*b**2/3 - 85*b + 65/3.
5*(b - 1)*(b + 13)*(3*b - 1)/3
Factor 3*n**3/2 + 9*n**2 + 33*n/2 + 9.
3*(n + 1)*(n + 2)*(n + 3)/2
Suppose -p**2 + 48*p = 0. Calculate p.
0, 48
Let -x**5 + 102*x**4 - 2425*x**3 + 15648*x**2 + 18176*x = 0. Calculate x.
-1, 0, 16, 71
Factor g**4 - 79*g**3 + 2977*g**2/4 + 32232*g + 166464.
(g - 48)**2*(2*g + 17)**2/4
Factor 3*z**3 + 765*z**2 + 65025*z + 1842375.
3*(z + 85)**3
Let 2*l**2/13 + 20*l/13 + 48/13 = 0. What is l?
-6, -4
Let 30*z**4 + 235*z**3 - 970*z**2 + 815*z - 110 = 0. What is z?
-11, 1/6, 1, 2
Find q, given that 2*q**3/13 - 110*q**2/13 + 950*q/13 - 2250/13 = 0.
5, 45
Determine c, given that -5*c**5/8 - 21*c**4/4 - 12*c**3 - 4*c**2 = 0.
-4, -2/5, 0
Factor 2*p**2 - 2024*p + 512072.
2*(p - 506)**2
S