13
Suppose -v**2/3 + 41*v/3 - 26 = 0. What is v?
2, 39
Factor 3*s**2/2 + 6*s - 15/2.
3*(s - 1)*(s + 5)/2
Suppose 4*d**2 - 4308*d - 4312 = 0. What is d?
-1, 1078
Solve g**3/9 + 241*g**2/9 - 244*g/9 - 484/9 = 0 for g.
-242, -1, 2
Suppose 4*m**2 - 116*m + 216 = 0. Calculate m.
2, 27
Determine m, given that -2*m**3 + 538*m**2 - 536*m = 0.
0, 1, 268
Solve -2*h**4/15 - 14*h**3/15 - 14*h**2/15 + 2*h = 0 for h.
-5, -3, 0, 1
Factor 5*i**2 - 170*i.
5*i*(i - 34)
Determine d, given that -5*d**5 + 10*d**4 + 5*d**3 - 10*d**2 = 0.
-1, 0, 1, 2
Solve -c**3/5 + 4*c**2/5 - c + 2/5 = 0 for c.
1, 2
Suppose p**5/4 - 19*p**4/4 - 111*p**3/4 - 209*p**2/4 - 83*p/2 - 12 = 0. What is p?
-2, -1, 24
Let 65*c**3/4 + 29*c**2/4 - 8*c + 1 = 0. What is c?
-1, 2/13, 2/5
Find c such that 12*c**5 - 20*c**4 - 28*c**3 + 84*c**2 - 64*c + 16 = 0.
-2, 2/3, 1
What is f in -3*f**3 + 15*f**2 + 291*f + 273 = 0?
-7, -1, 13
Determine j so that 3*j**5/2 + 39*j**4 - 390*j**3 + 612*j**2 = 0.
-34, 0, 2, 6
Factor -3*r**5 - 18*r**4 - 39*r**3 - 36*r**2 - 12*r.
-3*r*(r + 1)**2*(r + 2)**2
Solve 2*n**5 + 6*n**4 - 12*n**3 - 16*n**2 = 0 for n.
-4, -1, 0, 2
Solve 4*q**4 + 88*q**3 + 468*q**2 + 224*q - 784 = 0 for q.
-14, -7, -2, 1
Find z such that 2*z**2/11 - 6*z/11 - 8/11 = 0.
-1, 4
Determine v, given that -v**4 - 26*v**3 - 72*v**2 - 70*v - 23 = 0.
-23, -1
Factor -4*l**2 + 3080*l - 592900.
-4*(l - 385)**2
Find a such that -a**5/6 - 2*a**4/3 + a**3/6 + 8*a**2/3 + 2*a = 0.
-3, -2, -1, 0, 2
Let 33*u**2/2 + 4029*u/2 + 183 = 0. Calculate u.
-122, -1/11
Factor -3*z**2 - 225*z + 228.
-3*(z - 1)*(z + 76)
Find k such that 2*k**4/19 - 48*k**3/19 - 164*k**2/19 + 48*k/19 + 162/19 = 0.
-3, -1, 1, 27
Determine c, given that -3*c**3 - 33*c**2 + 483*c + 513 = 0.
-19, -1, 9
Suppose 9*q**2 - 6384*q + 2127 = 0. What is q?
1/3, 709
Let 6*u**5 + 14*u**4 - 54*u**3 - 62*u**2 + 168*u - 72 = 0. Calculate u.
-3, 2/3, 1, 2
Let -135*g**4/2 - 375*g**3 - 925*g**2/2 - 175*g - 20 = 0. Calculate g.
-4, -1, -1/3, -2/9
Factor -5*n**5 + 265*n**4 - 3890*n**3 + 10130*n**2 - 9625*n + 3125.
-5*(n - 25)**2*(n - 1)**3
Solve -4*r**3 + 360*r**2 + 4*r - 360 = 0.
-1, 1, 90
What is j in -4*j**3/13 + 826*j**2/13 + 128*j + 834/13 = 0?
-1, 417/2
Factor 20*x**3 + 65*x**2 - 60*x.
5*x*(x + 4)*(4*x - 3)
Find u, given that -20*u**5 - 4755*u**4 - 17610*u**3 - 14020*u**2 + 4680*u = 0.
-234, -2, 0, 1/4
Factor -2*m**5/3 + 2*m**3 - 4*m**2/3.
-2*m**2*(m - 1)**2*(m + 2)/3
Factor -q**4 + 5*q**3 - 3*q**2 - 5*q + 4.
-(q - 4)*(q - 1)**2*(q + 1)
Let 3*m**5 + 30*m**4 - 33*m**3 = 0. What is m?
-11, 0, 1
Let 4*x**2 - 28*x + 24 = 0. Calculate x.
1, 6
Factor 2*b**2/7 + 6*b/7 - 8/7.
2*(b - 1)*(b + 4)/7
Factor 2*i**5/9 + 2*i**4/3 + 4*i**3/9.
2*i**3*(i + 1)*(i + 2)/9
Factor -4*o**5 + 9*o**4 - 6*o**3 + o**2.
-o**2*(o - 1)**2*(4*o - 1)
Determine n so that 5*n**4 - 15*n**2 + 10*n = 0.
-2, 0, 1
Factor -5*m**2 + 2965*m - 2960.
-5*(m - 592)*(m - 1)
Find j, given that -2*j**3/5 + 12*j**2/5 + 6*j + 16/5 = 0.
-1, 8
Factor -4*c**4 + 532*c**3 + 2180*c**2 + 1644*c.
-4*c*(c - 137)*(c + 1)*(c + 3)
Suppose 2*p**3 + 16*p**2 + 14*p = 0. What is p?
-7, -1, 0
Factor -2*n**3/13 - 360*n**2/13 - 15456*n/13 + 67712/13.
-2*(n - 4)*(n + 92)**2/13
Factor -2*r**2 + 46*r - 204.
-2*(r - 17)*(r - 6)
Factor 2*y**5 - 2*y**4 - 24*y**3 + 56*y**2 - 32*y.
2*y*(y - 2)**2*(y - 1)*(y + 4)
Suppose 2*c**4/5 + 264*c**3/5 + 8712*c**2/5 = 0. What is c?
-66, 0
Let 2*i**3/7 - 360*i**2/7 = 0. Calculate i.
0, 180
Factor -5*v**5 + 115*v**4 - 950*v**3 + 3290*v**2 - 4165*v + 1715.
-5*(v - 7)**3*(v - 1)**2
Factor -3*b**3/5 - 186*b**2/5 - 3219*b/5 - 10092/5.
-3*(b + 4)*(b + 29)**2/5
Factor 2*f**2/7 - 192*f/7 + 376/7.
2*(f - 94)*(f - 2)/7
Solve 2*l**2/3 + 244*l/3 + 7442/3 = 0 for l.
-61
Factor -3*n**5 + 12*n**4 + 24*n**3 - 30*n**2 - 69*n - 30.
-3*(n - 5)*(n - 2)*(n + 1)**3
Solve 3*v**2 - 549*v - 552 = 0.
-1, 184
Solve -r**4 + 4*r**3 + 7*r**2 - 22*r - 24 = 0 for r.
-2, -1, 3, 4
Factor -5*u**3 + 190*u**2 - 1625*u.
-5*u*(u - 25)*(u - 13)
Factor -12*k**3/5 + 38*k**2/15 - 2*k/15.
-2*k*(k - 1)*(18*k - 1)/15
Factor p**4/6 - 11*p**3/6 - 143*p**2/6 + 105*p/2 - 27.
(p - 18)*(p - 1)**2*(p + 9)/6
Suppose 2*v**3 + 2*v**2 - 24*v = 0. What is v?
-4, 0, 3
What is y in y**3/3 + 2489*y**2/3 - 4981*y/3 + 2491/3 = 0?
-2491, 1
Let 4*h**2 - 120*h + 836 = 0. Calculate h.
11, 19
Suppose -4*h**2 - 8*h + 60 = 0. What is h?
-5, 3
Determine f so that 5*f**3/3 + 70*f**2/3 + 100*f + 120 = 0.
-6, -2
Determine v, given that v**2/3 + 94*v + 281/3 = 0.
-281, -1
Factor -3*r**2 - 2652*r - 586092.
-3*(r + 442)**2
Factor -k**4/4 + 7*k**3/2 - 61*k**2/4 + 21*k - 9.
-(k - 6)**2*(k - 1)**2/4
Let 3*t**3 + 114*t**2 + 1083*t = 0. Calculate t.
-19, 0
Factor b**3 - 359*b**2/4 + 477*b/2 + 261/4.
(b - 87)*(b - 3)*(4*b + 1)/4
Suppose -3*j**3 + 27*j**2 + 3*j - 27 = 0. Calculate j.
-1, 1, 9
Let 4*s**3 + 204*s**2 + 2700*s + 2500 = 0. Calculate s.
-25, -1
Factor 10*x**4 + 135*x**3 + 60*x**2 - 65*x.
5*x*(x + 1)*(x + 13)*(2*x - 1)
Find q, given that -5*q**3 + 2925*q**2 + 5870*q = 0.
-2, 0, 587
Suppose -k**3 + 147*k**2 - 2160*k + 8384 = 0. Calculate k.
8, 131
Solve 2*i**4/5 + 126*i**3/5 + 2164*i**2/5 + 1128*i + 720 = 0.
-30, -2, -1
Factor 3*x**3 - 78*x**2 + 51*x + 6936.
3*(x - 17)**2*(x + 8)
Factor 3*f**2 + 1782*f + 264627.
3*(f + 297)**2
What is d in -2*d**3 + 24*d**2 + 26*d = 0?
-1, 0, 13
Solve -4*n**4/7 - 8*n**3/7 + 1660*n**2/7 - 14800*n/7 + 30000/7 = 0.
-25, 3, 10
Let 2*i**2/5 - 632*i/5 + 49928/5 = 0. What is i?
158
Find p such that p**5 - 13*p**4 + 19*p**3 + 41*p**2 - 92*p + 44 = 0.
-2, 1, 2, 11
Factor i**2/7 - 226*i/7 + 12769/7.
(i - 113)**2/7
Factor 3*d**5/2 + d**4 - 9*d**3 - 18*d**2 - 25*d/2 - 3.
(d - 3)*(d + 1)**3*(3*d + 2)/2
Suppose z**5/4 - 9*z**4/4 - z**3/4 + 9*z**2/4 = 0. What is z?
-1, 0, 1, 9
Let -2*f**3/3 + 8*f**2/3 + 10*f/3 = 0. Calculate f.
-1, 0, 5
Let -14*z**5/5 + 2*z**4 + 88*z**3/5 - 32*z**2/5 - 128*z/5 - 32/5 = 0. What is z?
-2, -1, -2/7, 2
Factor 3*s**4 - 21*s**3 + 30*s**2.
3*s**2*(s - 5)*(s - 2)
Factor 5*f**2 - 1280*f + 81920.
5*(f - 128)**2
Factor 3*j**4 - 39*j**3 - 249*j**2 - 369*j - 162.
3*(j - 18)*(j + 1)**2*(j + 3)
Factor 4*o**2/5 + 224*o/5 + 1692/5.
4*(o + 9)*(o + 47)/5
Factor -2*m**3 - m**2 + 8*m - 5.
-(m - 1)**2*(2*m + 5)
Let g**4 + 90*g**3 - g**2 - 90*g = 0. Calculate g.
-90, -1, 0, 1
Factor -15*l**4 + 354*l**3 - 663*l**2 + 324*l.
-3*l*(l - 1)**2*(5*l - 108)
Factor -3*o**2/5 - 93*o - 450.
-3*(o + 5)*(o + 150)/5
Determine f so that -f**2 - 91*f/3 + 62/3 = 0.
-31, 2/3
Solve -2*x**4/7 - 6*x**3/7 - 2*x**2/7 + 6*x/7 + 4/7 = 0 for x.
-2, -1, 1
Let x**2/11 - 120*x/11 - 625/11 = 0. What is x?
-5, 125
Find s such that -3*s**5/7 - 30*s**4/7 - 39*s**3/7 + 12*s**2 + 12*s - 96/7 = 0.
-8, -2, 1
Let -2*p**4/3 - 196*p**3/3 - 1312*p**2 - 29440*p/3 - 75776/3 = 0. Calculate p.
-74, -8
Suppose 4*p**4 + 136*p**3 - 148*p**2 - 280*p = 0. Calculate p.
-35, -1, 0, 2
Factor -3*h**4/7 - 102*h**3/7 - 900*h**2/7 - 2376*h/7.
-3*h*(h + 6)**2*(h + 22)/7
Solve -d**3/5 + 1231*d**2/5 - 378224*d/5 - 379456/5 = 0 for d.
-1, 616
Factor -4*u**4 - 22*u**3 + 40*u**2 - 14*u.
-2*u*(u - 1)*(u + 7)*(2*u - 1)
Find w such that -9*w**5 + 12*w**4 + 84*w**3 - 114*w**2 - 27*w + 54 = 0.
-3, -2/3, 1, 3
Find d, given that -2*d**3 - 1276*d**2 = 0.
-638, 0
Factor g**2 - 236*g/3 - 79/3.
(g - 79)*(3*g + 1)/3
Let x**4/4 + 5*x**3 + 83*x**2/4 - 59*x - 165 = 0. Calculate x.
-11, -10, -2, 3
Solve 3*k**4 - 21*k**3 - 183*k**2 + 21*k + 180 = 0 for k.
-5, -1, 1, 12
Solve -2*f**4/5 - 228*f**3/5 + 696*f**2/5 - 140*f + 234/5 = 0 for f.
-117, 1
Find i such that -8*i**3/13 - 144*i**2/13 - 138*i/13 - 34/13 = 0.
-17, -1/2
Factor y**2/4 - 47*y + 555/4.
(y - 185)*(y - 3)/4
Factor -i**2/2 - 4*i - 7/2.
-(i + 1)*(i + 7)/2
Factor 8*b**3/19 + 26*b**2/19 + 22*b/19 + 4/19.
2*(b + 1)*(b + 2)*(4*b + 1)/19
Factor -l**3 + 13*l**2 + 29*l + 15.
-(l - 15)*(l + 1)**2
Find v such that 15*v**3 - 99*v**2 - 42*v = 0.
-2/5, 0, 7
Determine m so that -12*m**5/7 + 657*m**4/7 - 1095*m**3/7 - 975*m**2/7 + 1107*m/7 + 318/7 = 0.
-1, -1/4, 1, 2, 53
Factor v**3/4 + 5*v**2/4 + 7*v/4 + 3/4.
(v + 1)**2*(v + 3)/4
What is n in -2*n**5/13 + 4*n**4/13 + 6*n**3/13 = 0?
-1, 0, 3
Factor 3*z**5 - 81*z**4 + 414*z**3 + 1758*z**2 + 1935*z + 675.
3*(z - 15)**2*(z + 1)**3
Factor 2*y**3/3 + 36*y**2 + 486*y.
2*y*(y + 27)**2/3
Suppose -2*l**2/3 - 296*l/3 - 98 = 0. Calcul