5*h**2 - 25*h + 30.
-5*(h - 1)*(h + 6)
Factor l**2/4 + 3*l/2.
l*(l + 6)/4
Factor g**2/4 + 1385*g/2 + 1918225/4.
(g + 1385)**2/4
Factor -2*b**2 + 3756*b - 1763442.
-2*(b - 939)**2
What is n in -15*n**2/4 + 39*n/4 - 6 = 0?
1, 8/5
Factor r**4 + 6*r**3 + 11*r**2 + 6*r.
r*(r + 1)*(r + 2)*(r + 3)
Find j such that -5*j**5 - 55*j**4 - 210*j**3 - 350*j**2 - 265*j - 75 = 0.
-5, -3, -1
Solve 5*d**2 + 60*d = 0.
-12, 0
Solve -d**3/3 - 4*d**2 + 28*d/3 = 0 for d.
-14, 0, 2
Factor -5*d**2 - 135*d.
-5*d*(d + 27)
Determine i, given that -28*i**4 + 624*i**3 - 1324*i**2 + 888*i - 160 = 0.
2/7, 1, 20
Factor -d**4 - 91*d**3 - 179*d**2 - 89*d.
-d*(d + 1)**2*(d + 89)
Solve 8*c**5/7 - 2*c**4/7 - 16*c**3/7 + 4*c**2/7 + 8*c/7 - 2/7 = 0.
-1, 1/4, 1
Solve 5*u**3/2 + 245*u**2/2 + 2295*u/2 - 18225/2 = 0.
-27, 5
Suppose 2*l**3/9 + 2*l**2 + 16*l/9 = 0. What is l?
-8, -1, 0
Find x such that x**5/4 - x**4/8 = 0.
0, 1/2
Determine i so that -2*i**5 + 2*i**4 + 4*i**3 - 4*i**2 - 2*i + 2 = 0.
-1, 1
Factor -3*t**3 - 147*t**2 - 1932*t - 3300.
-3*(t + 2)*(t + 22)*(t + 25)
Factor 104*t**2 + 28*t - 12.
4*(2*t + 1)*(13*t - 3)
Factor 2*o**3/7 + 50*o**2/7 + 246*o/7 + 342/7.
2*(o + 3)**2*(o + 19)/7
Factor -m**4/8 + 85*m**3/8 - 183*m**2 - 3887*m/2 + 2116.
-(m - 46)**2*(m - 1)*(m + 8)/8
Factor 4*a**3/7 + 44*a**2/7 - 8*a - 96/7.
4*(a - 2)*(a + 1)*(a + 12)/7
Factor -3*f**3 + 6*f**2 + 9*f.
-3*f*(f - 3)*(f + 1)
Suppose -2*h**2/7 + 2444*h - 5226494 = 0. Calculate h.
4277
Solve 4*b**2 + 320*b - 656 = 0 for b.
-82, 2
Factor -6*j**2/5 - 63*j/5 - 81/5.
-3*(j + 9)*(2*j + 3)/5
Find v such that v**4 - v**3 - 6*v**2 = 0.
-2, 0, 3
Factor -2*n**3 - 56*n**2 - 98*n + 156.
-2*(n - 1)*(n + 3)*(n + 26)
Find j, given that -2*j**3/7 + 2*j**2 + 10*j/7 - 150/7 = 0.
-3, 5
Factor 3*u**3/4 + 9*u**2 + 51*u/4 - 45/2.
3*(u - 1)*(u + 3)*(u + 10)/4
Determine y, given that -y**3/8 + 3*y**2/2 - 5*y/8 - 33/4 = 0.
-2, 3, 11
Factor 3*u**3/8 + 1371*u**2/8 + 19320*u - 119025/2.
3*(u - 3)*(u + 230)**2/8
Determine g so that 2*g**2 - 1388*g + 240818 = 0.
347
Factor -2*j**3/7 - 38*j**2/7 + 268*j/7 + 96.
-2*(j - 7)*(j + 2)*(j + 24)/7
Solve -2*s**4/17 + 10*s**3/17 + 74*s**2/17 - 10*s/17 - 72/17 = 0.
-4, -1, 1, 9
Find h such that -2*h**4 + 4*h**3 + 146*h**2 + 140*h = 0.
-7, -1, 0, 10
Factor -5*y**2 + 4225*y.
-5*y*(y - 845)
Suppose 10*a**3 - 6*a**2 - 4*a = 0. Calculate a.
-2/5, 0, 1
Determine z, given that -z**3/6 + 115*z**2/3 + 941*z/6 - 195 = 0.
-5, 1, 234
Factor 3*i**5 - 180*i**4 + 1833*i**3.
3*i**3*(i - 47)*(i - 13)
Determine r so that -r**2 - 14*r + 32 = 0.
-16, 2
Solve -2*k**3/5 - 4*k**2 + 126*k/5 + 1296/5 = 0.
-9, 8
Let 3*i**3 + 147*i**2 - 798*i + 648 = 0. Calculate i.
-54, 1, 4
Factor -3*w**3 - 3*w**2 + 12*w + 12.
-3*(w - 2)*(w + 1)*(w + 2)
Find d such that 2*d**5 + 38*d**4 + 236*d**3 + 452*d**2 - 238*d - 490 = 0.
-7, -5, -1, 1
Solve -4*b**5 - 144*b**4 - 640*b**3 - 600*b**2 + 644*b + 744 = 0 for b.
-31, -3, -2, -1, 1
Factor 4*b**3 - 4*b**2 - 16*b + 16.
4*(b - 2)*(b - 1)*(b + 2)
Factor 10*x**2/3 + 1552*x/3 + 310/3.
2*(x + 155)*(5*x + 1)/3
Factor 5*o**3 + 10*o**2 - 20*o - 40.
5*(o - 2)*(o + 2)**2
Determine x, given that x**2/5 - 23*x/5 - 174/5 = 0.
-6, 29
Determine u, given that 2*u**3/3 - 364*u**2 + 66248*u - 12057136/3 = 0.
182
Find a, given that -a**3 - 17*a**2 - 96*a - 180 = 0.
-6, -5
Determine p so that -9*p**4/2 + 1128*p**3 + 753*p**2/2 = 0.
-1/3, 0, 251
Factor -2*h**5 - 10*h**4 + 12*h**3 + 108*h**2 + 54*h - 162.
-2*(h - 3)*(h - 1)*(h + 3)**3
Factor -2*m**3/7 - 2946*m**2/7 - 1446486*m/7 - 236741542/7.
-2*(m + 491)**3/7
Factor r**2/4 + 835*r + 697225.
(r + 1670)**2/4
Suppose -4*i**4/5 - 12*i**3/5 - 4*i**2/5 + 12*i/5 + 8/5 = 0. Calculate i.
-2, -1, 1
Factor 10*a**4 + 35*a**3 + 35*a**2 + 10*a.
5*a*(a + 1)*(a + 2)*(2*a + 1)
Factor 9*v**4 + 2223*v**3 + 2217*v**2 + 2215*v/3 + 82.
(v + 246)*(3*v + 1)**3/3
Factor 5*s**5 + 240*s**4 + 1105*s**3 + 1270*s**2 - 900*s - 1720.
5*(s - 1)*(s + 2)**3*(s + 43)
Find w, given that -2*w**5/3 - 128*w**4/9 + 76*w**3/3 + 1360*w**2 + 450*w = 0.
-15, -1/3, 0, 9
Factor 12*a**3 + 141*a**2 + 204*a - 60.
3*(a + 2)*(a + 10)*(4*a - 1)
Solve -2*h**4/7 - 10*h**3/7 + 86*h**2/7 - 134*h/7 + 60/7 = 0 for h.
-10, 1, 3
What is x in -16*x**4 - 1924*x**3 - 77280*x**2 - 1043200*x - 256000 = 0?
-40, -1/4
Let r**2/4 - 143*r/2 + 20449/4 = 0. Calculate r.
143
Find t, given that -t**2/3 + 3889*t/3 + 3890/3 = 0.
-1, 3890
Suppose -10*v**5/7 + 68*v**4/7 - 18*v**3 + 52*v**2/7 + 16*v/7 = 0. What is v?
-1/5, 0, 1, 2, 4
What is n in 2*n**3 - 62*n**2 + 60*n = 0?
0, 1, 30
Let -b**3/4 - 25*b**2/2 + 121*b + 290 = 0. What is b?
-58, -2, 10
Suppose -h**4 + 8*h**3 + 11*h**2 - 18*h = 0. What is h?
-2, 0, 1, 9
Find t such that -3*t**4/5 - 9*t**3/5 + 12*t**2/5 = 0.
-4, 0, 1
Factor -3*v**2/2 - 483*v + 3960.
-3*(v - 8)*(v + 330)/2
Factor 5*b**2 - 22*b - 15.
(b - 5)*(5*b + 3)
Solve 4*l**2 - 452*l - 2360 = 0 for l.
-5, 118
Find u such that -2*u**2/5 + 276*u/5 - 9522/5 = 0.
69
Let -45796*x**4 - 133964*x**3 + 10208*x**2 - 192*x = 0. What is x?
-3, 0, 4/107
Solve 4*i**2 - 816*i + 41616 = 0 for i.
102
Solve q**3/3 - 5*q**2/3 - 4*q/3 + 20/3 = 0 for q.
-2, 2, 5
Find j such that 10*j**5/9 + 4*j**4/3 + 2*j**3/9 = 0.
-1, -1/5, 0
Solve -i**3/2 + i/2 = 0.
-1, 0, 1
Find c such that -4*c**3 - 184*c**2 - 2116*c = 0.
-23, 0
Let 8*a**5/5 - 84*a**4 - 648*a**3/5 - 4*a**2/5 + 216*a/5 = 0. What is a?
-1, 0, 1/2, 54
Factor -4*u**4/5 + 20*u**3 + 324*u**2/5 + 332*u/5 + 112/5.
-4*(u - 28)*(u + 1)**3/5
Find p, given that -2*p**5 - 8*p**4 + 444*p**3 + 8*p**2 - 442*p = 0.
-17, -1, 0, 1, 13
Factor -5*x**2 - 790*x - 785.
-5*(x + 1)*(x + 157)
Find j such that -j**2/5 - 468*j/5 + 469/5 = 0.
-469, 1
Let 4*j**3 + 832*j**2 + 44084*j + 84872 = 0. What is j?
-103, -2
Let -z**4/7 + 2*z**3 - 39*z**2/7 - 2*z + 40/7 = 0. Calculate z.
-1, 1, 4, 10
Find m such that m**4/2 + 6*m**3 + 43*m**2/2 + 30*m + 14 = 0.
-7, -2, -1
Solve -n**5/4 + 21*n**4/4 - 73*n**3/2 + 161*n**2/2 + 147*n/4 - 343/4 = 0.
-1, 1, 7
Factor -1444*i**4 + 8360*i**3 + 1808*i**2 + 96*i.
-4*i*(i - 6)*(19*i + 2)**2
Solve 2*m**3 + 8*m**2 - 2*m - 8 = 0 for m.
-4, -1, 1
Determine g, given that 3*g**5 + 4*g**4 - 59*g**3/3 - 46*g**2 - 100*g/3 - 8 = 0.
-2, -1, -2/3, 3
Factor -4*r**2/7 - 13982*r/7 + 6992/7.
-2*(r + 3496)*(2*r - 1)/7
Factor b**2/4 + 27*b/2 + 329/4.
(b + 7)*(b + 47)/4
Factor -4*j**5 - 372*j**4 - 2408*j**3.
-4*j**3*(j + 7)*(j + 86)
Solve -5*f**5 + 75*f**4 - 290*f**3 + 420*f**2 - 200*f = 0 for f.
0, 1, 2, 10
Suppose 4*s**5/5 + 28*s**4/5 - 212*s**3/5 + 324*s**2/5 - 144*s/5 = 0. Calculate s.
-12, 0, 1, 3
Solve 18*d**4 + 1138*d**3 + 12314*d**2/9 + 262*d + 124/9 = 0.
-62, -1, -1/9
Factor -3*p**2 - 180*p - 2553.
-3*(p + 23)*(p + 37)
Find w such that -4*w**4 - 352*w**3 - 11616*w**2 - 170368*w - 937024 = 0.
-22
Factor -3*z**3/4 - 2*z**2 + 15*z/4 - 1.
-(z - 1)*(z + 4)*(3*z - 1)/4
Let 2*n**4 - 38*n**3 + 160*n**2 + 200*n = 0. What is n?
-1, 0, 10
Factor 5*f**4 - 65*f**3 + 305*f**2 - 615*f + 450.
5*(f - 5)*(f - 3)**2*(f - 2)
Suppose 5*j**2 - 605*j = 0. What is j?
0, 121
What is m in -4*m**4/7 - 20*m**3/7 - 36*m**2/7 - 4*m - 8/7 = 0?
-2, -1
Solve -2*d**3/7 + 16*d**2/7 - 6*d + 36/7 = 0.
2, 3
What is y in 3*y**3 - 6*y**2 - 9*y = 0?
-1, 0, 3
Factor 4*r**2/3 + 352*r + 23232.
4*(r + 132)**2/3
Factor 5*w**2 - 1960*w - 1965.
5*(w - 393)*(w + 1)
Suppose -15*s**2 + 10*s = 0. Calculate s.
0, 2/3
Suppose -4*f**2 + 80*f + 176 = 0. What is f?
-2, 22
Factor 4*o**2 + 8*o - 572.
4*(o - 11)*(o + 13)
Solve v**4/4 - 3*v**3/4 + v**2/2 = 0 for v.
0, 1, 2
Determine l so that -3*l**4/4 - l**3/2 + 4*l**2 - 7*l/2 + 3/4 = 0.
-3, 1/3, 1
Find j, given that -j**3/4 + 5*j**2 - 33*j/4 - 27/2 = 0.
-1, 3, 18
Factor -2*t**4/7 + 2*t**3 - 36*t**2/7 + 40*t/7 - 16/7.
-2*(t - 2)**3*(t - 1)/7
Factor f**2/7 + 20*f/7 + 75/7.
(f + 5)*(f + 15)/7
Let -i**5/4 + 7*i**4/4 + 18*i**3 - 162*i**2 + 108*i + 972 = 0. What is i?
-9, -2, 6
Factor -5*f**2 - 115*f - 660.
-5*(f + 11)*(f + 12)
Determine v, given that -6*v**2/5 + 1164*v/5 - 56454/5 = 0.
97
Factor -5*q**4 + 120*q**3 - 830*q**2 + 1320*q - 605.
-5*(q - 11)**2*(q - 1)**2
Solve -3*c**4/5 + 3*c**3 - 6*c**2/5 - 24*c/5 = 0.
-1, 0, 2, 4
Factor -k**2/7 + 339*k/7 + 340/7.
-(k - 340)*(k + 1)/7
Let 2*i**3/3 - 10*i**2/3 - 50*i/3 + 250/3 = 0. Calculate i.
-5, 5
What is t in -2*t**5/17 - 16*t**4/17 - 22*t**3/17 + 16*t**2/17 + 24*t/17 =