ate j.
-2/3, 1, 4
Suppose 2*n**5/11 + 82*n**4/11 - 642*n**3/11 + 1414*n**2/11 - 1240*n/11 + 384/11 = 0. What is n?
-48, 1, 4
Let -6*i**5/7 - 6*i**4 + 234*i**3/7 - 318*i**2/7 + 132*i/7 = 0. Calculate i.
-11, 0, 1, 2
Let 5*g**3 + 15*g**2 - 20*g - 60 = 0. What is g?
-3, -2, 2
Factor -4*c**3 - 96*c**2.
-4*c**2*(c + 24)
Factor n**3/5 + 11*n**2/5 + 4*n/5 - 12.
(n - 2)*(n + 3)*(n + 10)/5
Determine q, given that q**3 + 683*q**2 - 1370*q = 0.
-685, 0, 2
Factor j**2/2 - 102*j + 5202.
(j - 102)**2/2
Factor -57*u**2/7 - 339*u/7 + 18/7.
-3*(u + 6)*(19*u - 1)/7
Factor 2*u**2/9 + 508*u/9 + 32258/9.
2*(u + 127)**2/9
Solve 5*y**5/3 + 95*y**4/3 + 395*y**3/3 - 595*y**2/3 - 400*y/3 + 500/3 = 0 for y.
-10, -1, 1
Suppose -p**4/6 - 3*p**3 - 27*p**2/2 = 0. Calculate p.
-9, 0
Find l such that -6*l**3 + 140*l**2 - 46*l = 0.
0, 1/3, 23
Solve -3*w**5 + 39*w**3 + 48*w**2 - 36*w - 48 = 0.
-2, -1, 1, 4
Solve 9*f**5/7 - 6*f**4/7 - 21*f**3 - 228*f**2/7 - 60*f/7 = 0 for f.
-2, -1/3, 0, 5
Factor -2*y**4/3 + 26*y**3/3 - 104*y**2/3 + 40*y.
-2*y*(y - 6)*(y - 5)*(y - 2)/3
Suppose -2*w**5/9 + 2*w**4/9 + 2*w**3 - 26*w**2/9 - 16*w/9 + 8/3 = 0. Calculate w.
-3, -1, 1, 2
Suppose 25*s**4 - 90*s**3 + 95*s**2 - 30*s = 0. Calculate s.
0, 3/5, 1, 2
Factor -20*m**5 - 8*m**4.
-4*m**4*(5*m + 2)
Factor -f**2 + 389*f.
-f*(f - 389)
Find q, given that 5*q**2 - 360*q + 6435 = 0.
33, 39
Determine q, given that -5*q**4/2 + 37*q**3/2 - 7*q**2 = 0.
0, 2/5, 7
Factor 4*y**5 + 100*y**4 + 572*y**3 - 676*y**2.
4*y**2*(y - 1)*(y + 13)**2
Solve 3*a**5 - 3633*a**4 + 1101702*a**3 - 1094442*a**2 - 1101705*a + 1098075 = 0 for a.
-1, 1, 605
Determine t, given that t**5 + 139*t**4 + 546*t**3 + 814*t**2 + 541*t + 135 = 0.
-135, -1
Find l such that -3*l**2 + 177*l = 0.
0, 59
Factor -3*b**5 + 84*b**4 - 723*b**3 + 1290*b**2 + 5100*b + 3000.
-3*(b - 10)**3*(b + 1)**2
Find a such that 2*a**3 + 12*a**2 - 80*a = 0.
-10, 0, 4
Solve l**4/3 + l**3/3 - l**2 - 5*l/3 - 2/3 = 0 for l.
-1, 2
Find p such that -3*p**5/4 + 9*p**4 - 9*p**3/2 - 39*p**2 - 99*p/4 = 0.
-1, 0, 3, 11
Let -5*v**2 + 345*v + 1460 = 0. What is v?
-4, 73
Determine x, given that 35*x**3 - 800*x**2 + 1395*x - 630 = 0.
6/7, 1, 21
Factor 2*j**4/7 + 6*j**3/7 - 2*j**2/7 - 6*j/7.
2*j*(j - 1)*(j + 1)*(j + 3)/7
Determine y, given that 10*y**5 - 565*y**4 + 2385*y**3 - 2335*y**2 - 275*y + 780 = 0.
-1/2, 1, 3, 52
What is a in -2*a**4 + 22*a**3 + 146*a**2 + 218*a + 96 = 0?
-3, -1, 16
Factor 5*v**4 - 5*v**3 - 60*v**2 + 140*v - 80.
5*(v - 2)**2*(v - 1)*(v + 4)
What is i in 4*i**5 + 56*i**4 - 124*i**3 + 64*i**2 = 0?
-16, 0, 1
Factor 4*b**4/5 - 28*b**3/5 + 44*b**2/5 - 4*b.
4*b*(b - 5)*(b - 1)**2/5
Find i, given that 7*i**2 + 64*i = 0.
-64/7, 0
Factor q**3 + 212*q**2 + 13860*q + 259200.
(q + 32)*(q + 90)**2
Determine c so that -25*c**3 + 610*c**2 - 4256*c + 6272 = 0.
2, 56/5
Suppose 8*f**5/5 + 63*f**4/5 + 94*f**3/5 - 241*f**2/5 - 552*f/5 - 272/5 = 0. Calculate f.
-4, -1, 17/8
Suppose r**5/5 + 237*r**4/5 - 289*r**3 + 3147*r**2/5 - 2912*r/5 + 972/5 = 0. Calculate r.
-243, 1, 2
Factor 2*a**4 - 35*a**3 + 79*a**2 - 61*a + 15.
(a - 15)*(a - 1)**2*(2*a - 1)
Factor -4*t**4 - 140*t**3 + 328*t**2 + 1184*t.
-4*t*(t - 4)*(t + 2)*(t + 37)
Let -2*y**5/7 + 82*y**4/7 - 158*y**3/7 + 78*y**2/7 = 0. What is y?
0, 1, 39
Find n such that 5*n**2 + 405*n - 410 = 0.
-82, 1
Factor 2*j**3/11 + 42*j**2/11 + 268*j/11 + 48.
2*(j + 4)*(j + 6)*(j + 11)/11
Factor 2*j**3 + 12*j**2 + 22*j + 12.
2*(j + 1)*(j + 2)*(j + 3)
Determine d so that -4*d**2/3 + 85*d/3 - 7 = 0.
1/4, 21
Determine g, given that -4*g**2 - 88*g - 160 = 0.
-20, -2
Determine j, given that 2*j**4/15 - 44*j**2/15 + 16*j/5 + 6 = 0.
-5, -1, 3
Let -3*a**5 - 75*a**4/2 - 201*a**3/2 - 48*a**2 + 54*a = 0. What is a?
-9, -2, 0, 1/2
Factor -3*t**2/2 + 816*t - 110976.
-3*(t - 272)**2/2
Determine f, given that 3*f**4 - 90*f**3 + 156*f**2 + 360*f - 672 = 0.
-2, 2, 28
Determine y so that -36*y**3/7 + 48*y**2 - 400*y/7 + 128/7 = 0.
2/3, 8
Factor -2*r**3/9 - 8*r**2/9 - 2*r/3.
-2*r*(r + 1)*(r + 3)/9
Find h, given that 3*h**3 - 39*h**2 - 252*h - 324 = 0.
-3, -2, 18
Suppose 5*i**2 - 1660*i = 0. Calculate i.
0, 332
Suppose -2*s**2/11 + 16*s - 352 = 0. What is s?
44
Determine a, given that -2*a**4 + 36*a**3 + 198*a**2 - 3240*a - 16200 = 0.
-6, 15
Let -2*o**3/15 - 34*o**2/15 + 76*o/15 = 0. What is o?
-19, 0, 2
Solve i**3 + 4*i**2 + 3*i = 0 for i.
-3, -1, 0
Suppose l**3 + 3*l**2 - 4 = 0. Calculate l.
-2, 1
Determine o, given that 3*o**3/5 + 246*o**2/5 + 483*o/5 + 48 = 0.
-80, -1
Determine v so that -9*v**2 - 426*v + 288 = 0.
-48, 2/3
Factor 4*s**2 - 192*s + 2304.
4*(s - 24)**2
Factor 4*b**4 + 452*b**3 + 9372*b**2 - 200340*b + 190512.
4*(b - 12)*(b - 1)*(b + 63)**2
Factor -u**2/6 + 14*u/3 - 98/3.
-(u - 14)**2/6
Factor 3*v**3 - 204*v**2 + 3999*v - 17298.
3*(v - 31)**2*(v - 6)
Factor -2*j**2 - 6*j + 8.
-2*(j - 1)*(j + 4)
Factor 2*j**3/5 - 542*j**2 - 2712*j/5.
2*j*(j - 1356)*(j + 1)/5
Factor 5*p**4 - 30*p**3 - 5*p**2 + 150*p.
5*p*(p - 5)*(p - 3)*(p + 2)
Find b such that -5*b**2 + 1260*b + 1265 = 0.
-1, 253
Let -2*k**3/7 - 6*k**2/7 + 2*k/7 + 6/7 = 0. Calculate k.
-3, -1, 1
Suppose 2*b**4/15 + 28*b**3/15 + 122*b**2/15 + 56*b/5 + 24/5 = 0. What is b?
-6, -1
Let 2*r**2 + 6242*r = 0. What is r?
-3121, 0
Let n**4/5 + 13*n**3/5 - 14*n**2/5 = 0. Calculate n.
-14, 0, 1
Suppose -k**4/2 + 5*k**3 - 4*k**2 - 5*k + 9/2 = 0. What is k?
-1, 1, 9
Let 13*c**3/4 - 27*c**2/2 + 2*c = 0. Calculate c.
0, 2/13, 4
Factor -3*w**2/4 + 18*w - 108.
-3*(w - 12)**2/4
Factor 3*h**2 + 285*h - 1188.
3*(h - 4)*(h + 99)
Solve 2*q**2/3 - 322*q/3 = 0 for q.
0, 161
Let 2*v**2 - 90*v - 188 = 0. Calculate v.
-2, 47
Let -506*k**2/9 - 502*k/9 + 4/9 = 0. What is k?
-1, 2/253
Suppose -m**3/2 + 22*m**2/5 + 189*m/10 + 18/5 = 0. Calculate m.
-3, -1/5, 12
Solve -100620980*v**2 + 44860*v - 5 = 0.
1/4486
Factor 5*z**3 + 15*z**2 - 5*z - 15.
5*(z - 1)*(z + 1)*(z + 3)
Factor -u**3/3 - 38*u**2/3 - 132*u - 216.
-(u + 2)*(u + 18)**2/3
Suppose 3*s**5/4 - 43*s**4/4 - s**3/4 + 231*s**2/4 - 151*s/2 + 28 = 0. Calculate s.
-8/3, 1, 14
Factor 4*b**2 - 48*b/5 + 16/5.
4*(b - 2)*(5*b - 2)/5
Suppose 3*f**5/4 + 35*f**4/4 + 129*f**3/4 + 169*f**2/4 + 9*f - 9 = 0. What is f?
-6, -3, -2, -1, 1/3
Suppose 28*t**4 + 20*t**3 - 64*t**2 + 16*t = 0. Calculate t.
-2, 0, 2/7, 1
Factor w**3/4 - 5*w**2 - w/4 + 5.
(w - 20)*(w - 1)*(w + 1)/4
Factor -4*c**4 - 88*c**3 - 236*c**2 - 152*c.
-4*c*(c + 1)*(c + 2)*(c + 19)
Factor -y**5/2 + 53*y**4/2 - 458*y**3 + 2376*y**2 + 3888*y - 5832.
-(y - 18)**3*(y - 1)*(y + 2)/2
Determine y, given that -y**4/11 + 6*y**3/11 + 16*y**2/11 = 0.
-2, 0, 8
Factor -4*d**4 - 12*d**3 + 80*d**2 + 336*d + 320.
-4*(d - 5)*(d + 2)**2*(d + 4)
Solve -30*p**3/7 + 58*p**2/7 - 26*p/7 - 2/7 = 0.
-1/15, 1
Factor 4*o**4 + 232*o**3 + 4032*o**2 + 28160*o + 69632.
4*(o + 8)**3*(o + 34)
Suppose -5*q**2 - 5130*q - 1315845 = 0. What is q?
-513
Factor 4*d**5 + 4*d**4 - 12*d**3 - 20*d**2 - 8*d.
4*d*(d - 2)*(d + 1)**3
Factor 4*d**4 + 148*d**3 - 308*d**2 + 156*d.
4*d*(d - 1)**2*(d + 39)
Let -36*b**4 + 104*b**3 + 876*b**2 + 1104*b + 112 = 0. Calculate b.
-2, -1/9, 7
Solve -2*y**2/9 - 80*y/9 - 800/9 = 0 for y.
-20
Determine d, given that -20*d**4 + 135*d**3 - 245*d**2 + 90*d + 40 = 0.
-1/4, 1, 2, 4
Solve -2*w**3/3 + 42*w - 108 = 0.
-9, 3, 6
Factor -4*r**3/5 + 44*r**2/5 - 104*r/5 + 64/5.
-4*(r - 8)*(r - 2)*(r - 1)/5
Determine n, given that -7*n**5/3 + 37*n**4/3 + 263*n**3/3 - 47*n**2 - 372*n + 108 = 0.
-3, 2/7, 2, 9
Factor 2*m**2/7 + 10*m/7 - 100/7.
2*(m - 5)*(m + 10)/7
Suppose p**3/10 + 23*p**2/10 + 11*p/5 = 0. What is p?
-22, -1, 0
Suppose -n**5 - 19*n**4 - 136*n**3 - 456*n**2 - 720*n - 432 = 0. Calculate n.
-6, -3, -2
What is v in -3*v**2/2 + 81*v/2 - 270 = 0?
12, 15
Factor a**2/5 - 11*a.
a*(a - 55)/5
Factor 215*i**2 - 205*i - 10.
5*(i - 1)*(43*i + 2)
Determine s, given that -2*s**2 + 2 = 0.
-1, 1
Determine d so that 9*d**5 + 71*d**4 + 194*d**3 + 246*d**2 + 149*d + 35 = 0.
-35/9, -1
Find l, given that -5*l**3 + 50*l**2 - 140*l + 120 = 0.
2, 6
Solve -24*j**5/11 + 80*j**4/11 - 38*j**3/11 - 6*j**2 + 62*j/11 - 14/11 = 0.
-1, 1/2, 1, 7/3
Suppose 2*m**2/7 - 2312*m/7 = 0. Calculate m.
0, 1156
Let 5*r**2 - 120*r + 720 = 0. What is r?
12
Factor 3*a**3/4 - 57*a**2/4 - 3*a/4 + 57/4.
3*(a - 19)*(a - 1)*(a + 1)/4
Let -a**3/5 - 11*a**2/5 - 8*a/5 + 4 = 0. Calculate a.