 67
Solve -5*r**2 - 5615*r + 5620 = 0.
-1124, 1
Solve -2*m**2/11 - 372*m/11 - 17298/11 = 0 for m.
-93
Factor n**4/2 - n**3 - 60*n**2 + 425*n - 1625/2.
(n - 5)**3*(n + 13)/2
Determine q, given that -3*q**4/7 + 6*q**3/7 + 9*q**2/7 - 12*q/7 - 12/7 = 0.
-1, 2
Suppose 4*a**5/7 - 96*a**4/7 + 764*a**3/7 - 1952*a**2/7 - 768*a/7 + 2048/7 = 0. Calculate a.
-1, 1, 8
Let 25*i**5/4 - 115*i**4/4 - 125*i**3/4 + 395*i**2/4 - 20*i - 25 = 0. Calculate i.
-2, -2/5, 1, 5
Solve 3*t**4 - 51*t**2 + 48 = 0 for t.
-4, -1, 1, 4
Find q, given that 3*q**4 + 102*q**3 - 693*q**2 + 1080*q = 0.
-40, 0, 3
Factor -p**2/3 - 43*p/3 - 14.
-(p + 1)*(p + 42)/3
Factor 2*p**4/7 - 64*p**3 + 25532*p**2/7 - 7104*p + 24642/7.
2*(p - 111)**2*(p - 1)**2/7
Factor 2*n**3/9 - 106*n**2/3 - 320*n/9.
2*n*(n - 160)*(n + 1)/9
Factor 2*d**2/9 - 904*d/9.
2*d*(d - 452)/9
Suppose -3*b**2 - 288*b - 837 = 0. Calculate b.
-93, -3
Determine a, given that -a**3 - 4*a**2 + a + 4 = 0.
-4, -1, 1
Solve 12*s**4/5 - 1584*s**3/5 + 627*s**2 - 1953*s/5 + 78 = 0.
1/2, 1, 130
Find z such that 5*z**3 + 150*z**2 - 155*z = 0.
-31, 0, 1
Factor 3*r**4/7 + 3*r**3 + 3*r**2 - 45*r/7.
3*r*(r - 1)*(r + 3)*(r + 5)/7
Find h such that 4*h**2 + 28*h = 0.
-7, 0
Let -13*n**3/6 - 857*n**2/6 - 799*n/3 + 64/3 = 0. Calculate n.
-64, -2, 1/13
Solve -4*j**2 - 116*j = 0 for j.
-29, 0
Suppose -25*a**2 - 10090*a + 4040 = 0. What is a?
-404, 2/5
Factor 3*r**2/5 - 33*r - 168/5.
3*(r - 56)*(r + 1)/5
Suppose 3*m**3 - 141*m**2 - 12*m + 564 = 0. What is m?
-2, 2, 47
Determine d so that -2*d**5 - 12*d**4 + 4*d**3 + 24*d**2 - 2*d - 12 = 0.
-6, -1, 1
Determine u so that -9*u**5/5 - 2*u**4/5 + 243*u**3/5 - 432*u**2/5 - 108*u/5 = 0.
-6, -2/9, 0, 3
Factor -3*d**3 - 255*d**2 - 5016*d + 17424.
-3*(d - 3)*(d + 44)**2
Let -2*f**4/13 + 22*f**3/13 + 360*f**2/13 = 0. What is f?
-9, 0, 20
Factor m**3 - 19*m**2 + 55*m + 363.
(m - 11)**2*(m + 3)
Factor -k**2 + 14*k - 33.
-(k - 11)*(k - 3)
What is t in -21*t**5/5 - 36*t**4/5 + 159*t**3/5 - 126*t**2/5 + 24*t/5 = 0?
-4, 0, 2/7, 1
Solve 3*j**5 + 963*j**4 + 102048*j**3 + 3460320*j**2 - 11757312*j - 15116544 = 0 for j.
-108, -1, 4
What is k in -5*k**5 - 35*k**4 - 85*k**3 - 85*k**2 - 30*k = 0?
-3, -2, -1, 0
Factor -4*s**3 + 100*s**2 - 352*s + 336.
-4*(s - 21)*(s - 2)**2
What is q in 2*q**3/9 - 160*q**2/9 + 598*q/9 + 760/9 = 0?
-1, 5, 76
What is r in 4*r**3 + 88*r**2 + 148*r - 240 = 0?
-20, -3, 1
What is u in -2*u**3/3 + 103*u**2/3 - 17*u = 0?
0, 1/2, 51
Solve 4*k**5 - 76*k**4 + 412*k**3 - 228*k**2 - 2016*k - 1296 = 0 for k.
-1, 6, 9
Find y, given that -2*y**2/7 - 124*y/7 - 1922/7 = 0.
-31
Determine d so that -4*d**5 - 48*d**4 - 152*d**3 + 64*d**2 + 540*d - 400 = 0.
-5, -4, 1
Factor 2*c**3/9 + 118*c**2/9.
2*c**2*(c + 59)/9
Factor -2*g**3 - 136*g**2 - 2170*g + 4900.
-2*(g - 2)*(g + 35)**2
Let -65*f**2 - 50*f + 15 = 0. Calculate f.
-1, 3/13
Let 2*y**3/11 + 8*y**2/11 + 8*y/11 = 0. What is y?
-2, 0
Factor s**2 - 420*s - 421.
(s - 421)*(s + 1)
Factor -1372*d**5 - 82124*d**4 - 69720*d**3 - 19856*d**2 - 1888*d.
-4*d*(d + 59)*(7*d + 2)**3
Solve 4*r**3 + 276*r**2 - 1216*r - 3504 = 0 for r.
-73, -2, 6
Factor -3*g**2 + 1059*g - 3150.
-3*(g - 350)*(g - 3)
Factor q**4/4 + q**3/2 - 2*q**2 - 9*q/2 - 9/4.
(q - 3)*(q + 1)**2*(q + 3)/4
Factor -2*b**4/5 - 14*b**3/5 - 6*b**2 - 26*b/5 - 8/5.
-2*(b + 1)**3*(b + 4)/5
Solve -4*o**3 + 12*o**2 - 9*o + 2 = 0.
1/2, 2
Suppose 14*g**5/3 - 1592*g**4/3 + 12634*g**3/3 + 18440*g**2/3 + 1400*g = 0. Calculate g.
-1, -2/7, 0, 10, 105
Factor -n**4 - 2*n**3 + n**2 + 2*n.
-n*(n - 1)*(n + 1)*(n + 2)
Solve -j**2 - 43*j + 408 = 0.
-51, 8
Factor -6*z**2/7 - 29942*z/7 + 2852.
-2*(z + 4991)*(3*z - 2)/7
Factor -3*u**2/2 - 4287*u/2 - 2142.
-3*(u + 1)*(u + 1428)/2
Solve 3*y**4/8 - 45*y**3/4 + 579*y**2/8 + 180*y + 96 = 0 for y.
-1, 16
Solve f**5/7 + 9*f**4/7 = 0.
-9, 0
Find m, given that -2*m**5/3 + 1452*m**4 - 3162454*m**3/3 + 255103332*m**2 + 1054152*m - 255104784 = 0.
-1, 1, 726
Find c, given that 3*c**3 - 2262*c**2 - 3*c + 2262 = 0.
-1, 1, 754
Find b such that 3*b**3 - 123*b**2 - 1032*b + 1152 = 0.
-8, 1, 48
Find s such that -21*s**3 + 1296*s**2 + 3060*s + 768 = 0.
-2, -2/7, 64
Factor 36*y**4 + 28*y**3 - 188*y**2 + 148*y - 24.
4*(y - 1)**2*(y + 3)*(9*y - 2)
Find i, given that 4*i**2 + 26*i + 42 = 0.
-7/2, -3
Factor 3*w**5/5 - 3*w**4 + 21*w**3/5 - 9*w**2/5.
3*w**2*(w - 3)*(w - 1)**2/5
Factor -28*a**2/5 - 8*a/5 + 96/5.
-4*(a + 2)*(7*a - 12)/5
Factor -o**4/5 - 7*o**3/5 + 5*o**2 + 67*o/5 + 36/5.
-(o - 4)*(o + 1)**2*(o + 9)/5
Factor -4*z**2 + 3408*z - 725904.
-4*(z - 426)**2
Factor -36*v**2/5 - 736*v/5 - 64.
-4*(v + 20)*(9*v + 4)/5
What is b in 2*b**3 + 14*b**2 + 30*b + 18 = 0?
-3, -1
Determine a, given that 4*a**5 - 20*a**4 + 12*a**3 + 36*a**2 = 0.
-1, 0, 3
Factor r**3/2 + r**2/2 - 9*r/2 - 9/2.
(r - 3)*(r + 1)*(r + 3)/2
Factor b**2/4 - 307*b/4 - 309/2.
(b - 309)*(b + 2)/4
Factor 7*s**3 + 117*s**2 + 78*s - 32.
(s + 1)*(s + 16)*(7*s - 2)
Solve 2*p**4/15 + 16*p**3/15 + 4*p**2/15 - 32*p/3 - 10 = 0.
-5, -1, 3
Find v such that 5*v**2 + 335*v + 330 = 0.
-66, -1
Find n, given that n**5 + 31*n**4 + 117*n**3 - 331*n**2 + 182*n = 0.
-26, -7, 0, 1
Suppose 105*v**5 - 65*v**4 - 60*v**3 + 20*v**2 = 0. What is v?
-2/3, 0, 2/7, 1
Find c such that 2*c**3/13 - 54*c**2/13 + 462*c/13 - 1210/13 = 0.
5, 11
What is w in 2*w**3/9 + 188*w**2/3 + 17672*w/3 + 1661168/9 = 0?
-94
Factor -k**2/2 - 20*k + 225/2.
-(k - 5)*(k + 45)/2
Let 8*w**5/3 - 10*w**4/3 - 2*w**3 + 10*w**2/3 - 2*w/3 = 0. What is w?
-1, 0, 1/4, 1
Solve o**5 - o**4 - 30*o**3 - 76*o**2 - 56*o = 0 for o.
-2, 0, 7
Determine f so that 3*f**4/2 - 54*f**3 + 99*f**2/2 + 105*f = 0.
-1, 0, 2, 35
Suppose -z**3/4 + 355*z**2/2 + z/4 - 355/2 = 0. Calculate z.
-1, 1, 710
Factor r**4/5 + 4*r**3/5 + 2*r**2/5 - 4*r/5 - 3/5.
(r - 1)*(r + 1)**2*(r + 3)/5
Solve -o**5/5 - o**4/5 + 23*o**3/5 - 39*o**2/5 + 18*o/5 = 0.
-6, 0, 1, 3
Solve r**3 + 11*r**2 + 10*r = 0.
-10, -1, 0
Suppose 21*m**5 + 69*m**4 - 759*m**3 + 471*m**2 + 1710*m + 432 = 0. What is m?
-8, -1, -2/7, 3
Factor -4*x**4 - 204*x**3 - 588*x**2 - 580*x - 192.
-4*(x + 1)**3*(x + 48)
Find w, given that -2*w**2 - 64*w + 288 = 0.
-36, 4
Solve q**3 - 89*q**2 + 1840*q + 6348 = 0 for q.
-3, 46
What is t in 2*t**3 = 0?
0
Let 2*r**5/9 + 2*r**4/3 - 2*r**3/9 - 2*r**2/3 = 0. What is r?
-3, -1, 0, 1
Factor 2*a**3/5 + 8*a**2/5 - 88*a/5 - 192/5.
2*(a - 6)*(a + 2)*(a + 8)/5
Suppose 4*i**3/3 - 52*i/3 - 16 = 0. Calculate i.
-3, -1, 4
Suppose -h**5 - 44*h**4 - 525*h**3 - 882*h**2 = 0. Calculate h.
-21, -2, 0
Find m such that -7*m**5/3 + 16*m**4/3 + 332*m**3/3 - 32*m**2 = 0.
-6, 0, 2/7, 8
Factor -4*c**3 - 108*c**2 + 244*c + 348.
-4*(c - 3)*(c + 1)*(c + 29)
Let -4*t**3 + 128*t**2 + 1820*t + 3096 = 0. What is t?
-9, -2, 43
Find i such that i**3/2 - 9*i**2 + 99*i/2 - 81 = 0.
3, 6, 9
Suppose f**2/2 - f - 99/2 = 0. What is f?
-9, 11
Let p**5/8 + 87*p**4/2 + 30275*p**3/8 - 87*p**2/2 - 7569*p/2 = 0. What is p?
-174, -1, 0, 1
Factor 4*f**5 - 8708*f**4 + 6324904*f**3 - 1536936200*f**2 + 3054932500*f - 1524312500.
4*(f - 725)**3*(f - 1)**2
Determine r, given that -5*r**2 + 480*r - 11520 = 0.
48
Suppose -3*w**2 - 42*w - 39 = 0. What is w?
-13, -1
What is a in 5*a**2 - 1000*a + 50000 = 0?
100
Find v, given that -14*v**4 + 76*v**3 - 34*v**2 - 124*v = 0.
-1, 0, 2, 31/7
Factor -a**3 - 97*a**2 + 298*a - 200.
-(a - 2)*(a - 1)*(a + 100)
Let 3*b**3 + 15*b**2 = 0. What is b?
-5, 0
Find v, given that -2*v**4 - 30*v**3 - 150*v**2 - 250*v = 0.
-5, 0
Find u, given that 2*u**2/9 - 2*u/3 - 20/9 = 0.
-2, 5
Suppose 5*s**5 - 5710*s**4 + 1624485*s**3 + 3266120*s**2 + 1635920*s = 0. Calculate s.
-1, 0, 572
Factor -3*l**4 - 204*l**3 - 783*l**2 - 966*l - 384.
-3*(l + 1)**2*(l + 2)*(l + 64)
Solve -5*m**4 - 55*m**3 + 105*m**2 + 1055*m - 1100 = 0 for m.
-11, -5, 1, 4
Factor j**4/9 - 7*j**3/9 + 5*j**2/3 - 13*j/9 + 4/9.
(j - 4)*(j - 1)**3/9
Determine n, given that 5*n**5/2 + 107*n**4/6 + 269*n**3/6 + 289*n**2/6 + 62*n/3 + 2 = 0.
-3, -2, -1, -2/15
What is l in -l**2/2 - 15*l/2 + 162 = 0?
-27, 12
Solve h**2 - 388*h + 37636 = 0 for h.
194
Factor 5*d**2 - 1260*d + 7380.
5*(d - 246)*(d - 6)
Solve 2*u**3 - 36*u**2 + 82*u + 120 = 0.
-1, 4, 15
Let j**4/3 + 11*j**3/3 - 14*j**2/3 - 8*j = 0. What is j?
-12, -1, 0, 2
Suppose g**4/3 - 17*g**3/3 + 17*g**2 + 99*g - 324 = 0. Calculate g.
-4, 3, 9
Let -4*v**5 - 12*v**