02110*f**2 + 575400*f - 844605 = 0. Calculate f.
3, 137
Let -162*n**3/7 - 342*n**2/7 - 230*n/7 - 50/7 = 0. Calculate n.
-1, -5/9
Factor -25*t**3 + 1060*t**2 + 655*t - 430.
-5*(t - 43)*(t + 1)*(5*t - 2)
Solve 2*o**2 + 172*o + 170 = 0.
-85, -1
Factor -4*c**3 + 28*c**2 - 64*c + 48.
-4*(c - 3)*(c - 2)**2
Factor -7*f**3/2 + 12*f**2 - 10*f.
-f*(f - 2)*(7*f - 10)/2
Factor -f**3/4 - 5*f**2/4 + 34*f + 35.
-(f - 10)*(f + 1)*(f + 14)/4
Solve 5*f**5 + 120*f**4 + 945*f**3 + 2430*f**2 = 0 for f.
-9, -6, 0
What is i in -3*i**2/2 + 84*i - 1176 = 0?
28
Find o such that 2*o**5 + 42*o**4 + 198*o**3 + 278*o**2 + 120*o = 0.
-15, -4, -1, 0
Factor 3*x**3 - 486*x**2 + 26244*x - 472392.
3*(x - 54)**3
Find g such that 2*g**2 - 14*g - 88 = 0.
-4, 11
Factor 2*n**4 + 20*n**3 + 74*n**2 + 120*n + 72.
2*(n + 2)**2*(n + 3)**2
Factor -3*i**5 + 69*i**4 - 282*i**3 - 1290*i**2 - 1443*i - 507.
-3*(i - 13)**2*(i + 1)**3
Determine x, given that 2*x**5/9 - 2*x**4/9 - 44*x**3/9 - 4*x**2/9 + 46*x/3 - 10 = 0.
-3, 1, 5
Let -32*v**2/3 + 58*v/3 + 4 = 0. What is v?
-3/16, 2
Solve -36*i**3 - 744*i**2 - 484*i - 80 = 0.
-20, -1/3
Factor -5*s**5 + 35*s**4 - 95*s**3 + 125*s**2 - 80*s + 20.
-5*(s - 2)**2*(s - 1)**3
Determine v, given that 3*v**3 + 669*v**2 + 1329*v + 663 = 0.
-221, -1
Find k such that -4*k**3 + 1056*k**2 + 16*k - 4224 = 0.
-2, 2, 264
Factor -3*y**3 - 45*y**2 - 189*y - 147.
-3*(y + 1)*(y + 7)**2
Factor -v**3 + 2177*v**2 - 1185920*v + 1183744.
-(v - 1088)**2*(v - 1)
Find i such that i**2 + 13*i + 12 = 0.
-12, -1
What is u in 3*u**5 + 156*u**4 - 486*u**3 + 492*u**2 - 165*u = 0?
-55, 0, 1
Suppose -3*r**2/7 + 120*r/7 - 1200/7 = 0. What is r?
20
Suppose 3*k**3 + 192*k**2 - 393*k + 198 = 0. What is k?
-66, 1
Suppose 2*t**5/7 + 40*t**4/7 + 24*t**3 + 284*t**2/7 + 214*t/7 + 60/7 = 0. What is t?
-15, -2, -1
Factor 12*o**3 - 1844*o**2 - 616*o.
4*o*(o - 154)*(3*o + 1)
Factor -4*n**4 - 12*n**3 + 24*n**2 + 32*n.
-4*n*(n - 2)*(n + 1)*(n + 4)
Factor -4*n**3 - 1332*n**2 - 147852*n - 5470524.
-4*(n + 111)**3
Factor 4*b**2 - 128*b.
4*b*(b - 32)
Let 2*b**5 + 6*b**4 = 0. What is b?
-3, 0
Factor n**2/4 + 9*n/2 + 17/4.
(n + 1)*(n + 17)/4
Factor f**3/3 + 8*f**2/3 + 3*f - 6.
(f - 1)*(f + 3)*(f + 6)/3
Factor -a**4 + 27*a**3 - 216*a**2 + 432*a.
-a*(a - 12)**2*(a - 3)
Factor -v**4/5 + v**3/5 + 7*v**2/5 - 13*v/5 + 6/5.
-(v - 2)*(v - 1)**2*(v + 3)/5
Factor 18*g**4 - 147*g**3 + 396*g**2 - 351*g.
3*g*(g - 3)**2*(6*g - 13)
Factor -2*f**2 + 196*f/11 + 18/11.
-2*(f - 9)*(11*f + 1)/11
Let -3*d**2 + 438*d + 441 = 0. What is d?
-1, 147
Factor -i**4 + 7*i**2 - 6*i.
-i*(i - 2)*(i - 1)*(i + 3)
Find i such that 4*i**2 + 792*i + 39204 = 0.
-99
Factor -2*y**3/11 + 58*y**2/11 + 122*y/11 + 62/11.
-2*(y - 31)*(y + 1)**2/11
Factor -x**2/2 - 5*x/2 - 2.
-(x + 1)*(x + 4)/2
Factor c**2/2 - 9*c/2 + 10.
(c - 5)*(c - 4)/2
Factor m**2 - 16*m + 15.
(m - 15)*(m - 1)
Factor 95*w**2 + 26210*w - 2760.
5*(w + 276)*(19*w - 2)
Find x such that x**5/2 - 5*x**4/2 - 28*x**3 + 174*x**2 - 144*x = 0.
-8, 0, 1, 6
Factor o**5/3 + 4*o**4/3 - 26*o**3/3 + 44*o**2/3 - 31*o/3 + 8/3.
(o - 1)**4*(o + 8)/3
Factor 8*m**2/11 - 26098*m/11 + 6524/11.
2*(m - 3262)*(4*m - 1)/11
Factor -10*r**2/3 - 4*r/3 + 14/3.
-2*(r - 1)*(5*r + 7)/3
Suppose 5*k**5 - 1230*k**4 - 2480*k**3 - 10*k**2 + 2475*k + 1240 = 0. Calculate k.
-1, 1, 248
Find j, given that -3*j**5/2 - 12*j**4 + 15*j**3/2 + 282*j**2 + 744*j + 480 = 0.
-4, -1, 5
Factor 180500*w**2 + 1520*w + 16/5.
4*(475*w + 2)**2/5
Solve -m**2 + 82*m - 1681 = 0 for m.
41
Factor -25*d**3 + 5440*d**2 + 2180*d.
-5*d*(d - 218)*(5*d + 2)
Solve 2*w**5 - w**4 - 11*w**3 - 11*w**2 - 3*w = 0 for w.
-1, -1/2, 0, 3
Factor -2*v**2/11 + 694*v/11 - 692/11.
-2*(v - 346)*(v - 1)/11
What is d in 3*d**3/5 - 2*d**2/5 - 7*d/5 - 2/5 = 0?
-1, -1/3, 2
Let 4*z**4 + 136*z**3 + 1396*z**2 + 4080*z + 3600 = 0. What is z?
-15, -2
What is f in -6*f**5 - 130*f**4 - 582*f**3 + 298*f**2 + 420*f = 0?
-15, -7, -2/3, 0, 1
Find z such that -z**4 + 108*z**3 + 109*z**2 = 0.
-1, 0, 109
Find p such that -3*p**3/5 + 57*p**2/5 + 27*p - 189/5 = 0.
-3, 1, 21
Solve 4*q**3 + 816*q**2 + 12288*q + 48128 = 0 for q.
-188, -8
Factor 3*o**3/5 + 3*o**2/5 - 51*o + 165.
3*(o - 5)**2*(o + 11)/5
Factor -2*o**4/19 + 2*o**3/19 + 32*o**2/19 + 40*o/19.
-2*o*(o - 5)*(o + 2)**2/19
Factor -4*j**4 - 140*j**3 - 393*j**2 - 290*j - 64.
-(j + 2)*(j + 32)*(2*j + 1)**2
Factor -3*w**2 - 12918*w - 13906227.
-3*(w + 2153)**2
What is l in -2*l**4/7 + 8*l**3/7 - 10*l**2/7 + 4*l/7 = 0?
0, 1, 2
Suppose -3*r**2/4 + 117*r/2 = 0. What is r?
0, 78
Factor 2*z**4/13 - 96*z**2/13 - 256*z/13.
2*z*(z - 8)*(z + 4)**2/13
Factor -3*m**2 - 1500*m - 187500.
-3*(m + 250)**2
Factor -5*f**3 - 1470*f**2 + 1485*f + 2950.
-5*(f - 2)*(f + 1)*(f + 295)
Determine r, given that 5*r**4 + 150*r**3 - 325*r**2 - 150*r + 320 = 0.
-32, -1, 1, 2
Factor 2*o**3 + 16*o**2 + 14*o.
2*o*(o + 1)*(o + 7)
Factor -w**3 + 99*w**2 - 2295*w - 7803.
-(w - 51)**2*(w + 3)
Factor -2*b**2/3 + 10*b/3 + 748/3.
-2*(b - 22)*(b + 17)/3
Factor 6*m**3 + 51*m**2 + 132*m + 108.
3*(m + 2)**2*(2*m + 9)
Suppose j**5 - 11*j**4 - 3*j**3 + 31*j**2 + 22*j = 0. Calculate j.
-1, 0, 2, 11
Determine p so that 2*p**4/13 - 8*p**3/13 - 22*p**2/13 + 60*p/13 = 0.
-3, 0, 2, 5
Factor 2*r**2/7 - 90*r/7 - 500/7.
2*(r - 50)*(r + 5)/7
Factor -2*k**2 + 2144*k + 2146.
-2*(k - 1073)*(k + 1)
Determine f so that 2*f**3/9 + 38*f**2/9 + 70*f/9 + 34/9 = 0.
-17, -1
Determine u, given that -4*u**4 + 4*u**2 = 0.
-1, 0, 1
Factor -2*w**5 + 12*w**4 - 24*w**3 + 20*w**2 - 6*w.
-2*w*(w - 3)*(w - 1)**3
What is o in -2*o**3/5 - 106*o**2/15 + 292*o/15 + 16 = 0?
-20, -2/3, 3
Let y**4/7 + 5*y**3/7 + 6*y**2/7 = 0. What is y?
-3, -2, 0
Let -1287*d**2/2 - d = 0. Calculate d.
-2/1287, 0
Find o such that 2*o**3/11 + 10*o**2/11 - 64*o/11 + 72/11 = 0.
-9, 2
Factor -39*v**3/2 + 38*v**2 - 35*v/2 - 1.
-(v - 1)**2*(39*v + 2)/2
Determine g, given that -10*g**5 + 42*g**4 - 38*g**3 + 6*g**2 = 0.
0, 1/5, 1, 3
Determine o so that 4*o**5 - 8*o**4 - 44*o**3 + 16*o**2 + 112*o + 64 = 0.
-2, -1, 2, 4
Factor -4*l**5/3 + 196*l**4/3 - 2300*l**3/3 - 2500*l**2/3.
-4*l**2*(l - 25)**2*(l + 1)/3
Find n, given that -2*n**3/3 + 26*n**2/3 - 20*n/3 - 16 = 0.
-1, 2, 12
Factor -3*q**3/5 + 4479*q**2/5.
-3*q**2*(q - 1493)/5
Solve 5*r**4 - 70*r**3 - 55*r**2 + 2100*r + 4500 = 0 for r.
-3, 10
Determine u so that 80*u**5 + 68*u**4 - 132*u**3 - 148*u**2 - 28*u = 0.
-1, -1/4, 0, 7/5
Solve -v**2/2 + 133*v/2 - 1776 = 0 for v.
37, 96
Find b, given that -4*b**4 - 116*b**3 + 12*b**2 + 340*b - 232 = 0.
-29, -2, 1
Factor -2*w**3 - 8*w**2 + 82*w - 72.
-2*(w - 4)*(w - 1)*(w + 9)
Factor 3*t**5 + 27*t**4 + 9*t**3 - 435*t**2 - 900*t.
3*t*(t - 4)*(t + 3)*(t + 5)**2
Find m such that 2*m**2/7 - 632*m/7 + 1256/7 = 0.
2, 314
Solve t**3/2 - 53*t**2/2 + 328*t - 1184 = 0.
8, 37
Suppose -4*a**2 - 9080*a - 5152900 = 0. Calculate a.
-1135
Factor -4*v**2 + 296*v.
-4*v*(v - 74)
What is j in -2*j**5/3 + 46*j**4/21 + 254*j**3/21 - 118*j**2/21 - 80*j/7 + 24/7 = 0?
-3, -1, 2/7, 1, 6
Factor g**3/2 + 39*g**2/2 - g/2 - 39/2.
(g - 1)*(g + 1)*(g + 39)/2
Factor 2*t**4/9 - 4*t**3/3 - 2*t**2/3 + 112*t/9 - 32/3.
2*(t - 4)**2*(t - 1)*(t + 3)/9
Determine g so that -10*g**3 + 1164*g**2 - 464*g = 0.
0, 2/5, 116
Factor a**2 - 2104*a + 1106704.
(a - 1052)**2
Find r, given that 4*r**2/7 - 568*r/7 + 20164/7 = 0.
71
Find q such that 3*q**3 - 117*q**2 + 225*q + 20625 = 0.
-11, 25
Factor g**3/5 + 637*g**2/5 + 101123*g/5 - 101761/5.
(g - 1)*(g + 319)**2/5
Find i such that -3*i**5 + 656*i**4 + 882*i**3 - 436*i**2 - 879*i - 220 = 0.
-1, -1/3, 1, 220
Determine u so that u**2/5 + 58*u/5 + 57/5 = 0.
-57, -1
Determine d, given that -4*d**4 - 72*d**3 - 224*d**2 = 0.
-14, -4, 0
Suppose 2*k**5/13 + 512*k**4/13 + 31728*k**3/13 - 10240*k**2 + 10400*k = 0. Calculate k.
-130, 0, 2
Factor -3*u**2/2 - 291*u/2 - 144.
-3*(u + 1)*(u + 96)/2
Determine y so that -9*y**5/5 - 78*y**4/5 - 36*y**3/5 + 102*y**2/5 + 9*y - 24/5 = 0.
-8, -1, 1/3, 1
Find a, given that a**4/3 + 712*a**3/3 + 128152*a**2/3 + 168032*a + 167088 = 0.
-354, -2
Suppose -4*h**4/5 + 36*h**3/5 + 3*h**2/5 - 26*h/5 - 9/5 = 0. Calculate h.
-1/2, 1, 9
Factor 704969*l**5/3 - 1338649*l**4/3 + 564794*l**3/3 + 22170*l**2 + 783*l + 9.
(l - 1)**2*(89*l + 3)**3/3
Solve -4*s**3 + 60*s**2 - 248*s + 192 = 0.
1, 6, 8
What is v in -4*v**3/9 + 920*v**2/9 = 0?
0, 23