
Determine u so that -2*u**3 + 398*u**2 + 802*u + 402 = 0.
-1, 201
Solve c**2/3 + 1140*c + 974700 = 0.
-1710
Determine j so that -j**2/2 - 59*j - 3481/2 = 0.
-59
Suppose 16*d**3/11 - 46*d**2/11 + 26*d/11 + 4/11 = 0. What is d?
-1/8, 1, 2
Factor 26*v**4/9 - 542*v**3/9 + 1246*v**2/3 - 8330*v/9 - 1372/9.
2*(v - 7)**3*(13*v + 2)/9
Suppose -4*p**4/7 - 220*p**3/7 + 4*p**2/7 + 220*p/7 = 0. What is p?
-55, -1, 0, 1
Factor 2*w**4 + 24*w**3 + 76*w**2 + 24*w - 126.
2*(w - 1)*(w + 3)**2*(w + 7)
Determine k so that -3*k**5 + 18*k**4 - 30*k**3 + 33*k - 18 = 0.
-1, 1, 2, 3
Determine q so that q**5/6 + 23*q**4/6 + 10*q**3 - 434*q**2/3 + 392*q/3 = 0.
-14, 0, 1, 4
Factor 25*x**3/4 + 133*x**2/4 + 10*x.
x*(x + 5)*(25*x + 8)/4
Factor 2*y**3/13 + 38*y**2/13 - 44*y/13 - 80/13.
2*(y - 2)*(y + 1)*(y + 20)/13
Find w such that w**2/5 - 16*w/5 + 3 = 0.
1, 15
Factor 5*h**2 - 320*h + 5120.
5*(h - 32)**2
Let -c**2/7 + 5*c/7 + 2 = 0. What is c?
-2, 7
Determine m so that 2*m**2 - 16*m + 30 = 0.
3, 5
Factor 5*l**3 - 135*l**2 + 1215*l - 3645.
5*(l - 9)**3
Solve -32*k**4/9 - 48*k**3 + 206*k**2 - 844*k/9 + 34/3 = 0 for k.
-17, 1/4, 3
Factor -16*u**3 - 396*u**2 + 100*u.
-4*u*(u + 25)*(4*u - 1)
Solve -2*f**4 + 152*f**3 + 3168*f**2 + 19872*f + 40608 = 0 for f.
-6, 94
Factor 2*r**5 - 16*r**4 - 24*r**3 + 44*r**2 + 86*r + 36.
2*(r - 9)*(r - 2)*(r + 1)**3
Solve o**4 - 13*o**3/7 - o**2/7 + 13*o/7 - 6/7 = 0 for o.
-1, 6/7, 1
Solve 58*l**5 + 402*l**4 + 1016*l**3 + 1088*l**2 + 384*l - 32 = 0 for l.
-2, -1, 2/29
Factor 4*s**4/5 - 248*s**3 + 97328*s**2/5 - 189728*s/5.
4*s*(s - 154)**2*(s - 2)/5
Suppose 4*p**5 - 64*p**4 + 140*p**3 + 640*p**2 - 144*p - 576 = 0. Calculate p.
-2, -1, 1, 6, 12
Factor -p**2/2 + 2932*p - 4298312.
-(p - 2932)**2/2
Factor -g**3 + 9*g**2.
-g**2*(g - 9)
Determine c so that 3*c**4/7 - 3*c**2/7 = 0.
-1, 0, 1
Determine k so that -k**4 - 5*k**3 - 8*k**2 - 4*k = 0.
-2, -1, 0
Suppose -3*f**2 - 300*f + 1248 = 0. What is f?
-104, 4
Let -18*p**4 + 32*p**3 - 19*p**2/2 - 8*p + 7/2 = 0. What is p?
-1/2, 1/2, 7/9, 1
Determine a, given that 415*a**3/2 + 752*a**2 - 314*a - 8 = 0.
-4, -2/83, 2/5
Find x, given that 4*x**5 - 136*x**4 - 1104*x**3 + 5920*x**2 - 6400*x = 0.
-10, 0, 2, 40
Solve 21*t**5 + 54*t**4 + 24*t**3 - 42*t**2 - 45*t - 12 = 0 for t.
-1, -4/7, 1
Let -2*w**5/13 - 10*w**4/13 + 6*w**3/13 + 90*w**2/13 + 108*w/13 = 0. What is w?
-3, -2, 0, 3
Suppose -4*n**5 + 32*n**4 - 92*n**3 + 112*n**2 - 48*n = 0. What is n?
0, 1, 2, 3
Determine n, given that 2*n**5/3 - 2*n**4/3 - 78*n**3 - 118*n**2/3 + 5992*n/3 + 1960 = 0.
-7, -1, 6, 10
Let -k**4/8 + 7*k**3/2 + 123*k**2/8 + 79*k/4 + 8 = 0. What is k?
-2, -1, 32
Factor -4*s**3 + 8*s**2.
-4*s**2*(s - 2)
Factor s**4/2 - 17*s**3/2 + 63*s**2/2 + 81*s/2.
s*(s - 9)**2*(s + 1)/2
Factor 3*b**5 - 42*b**4 + 219*b**3 - 504*b**2 + 432*b.
3*b*(b - 4)**2*(b - 3)**2
Let 5*a**3 - 20*a = 0. Calculate a.
-2, 0, 2
Determine y so that 4*y**2 - 1440*y + 129600 = 0.
180
Find u, given that -2*u**2/5 - 296*u/5 + 906/5 = 0.
-151, 3
Let 4*y**5 - 76*y**4 + 496*y**3 - 1152*y**2 + 1728 = 0. What is y?
-1, 2, 6
Solve -27*m**2/5 + 306*m - 4335 = 0 for m.
85/3
Factor 2*f**5 - 4*f**4 - 12*f**3 + 40*f**2 - 38*f + 12.
2*(f - 2)*(f - 1)**3*(f + 3)
Factor -p**2 + 100*p - 99.
-(p - 99)*(p - 1)
Find z such that -z**2/5 + 3376*z/5 - 2849344/5 = 0.
1688
Factor 4*q**5 - 12*q**4 - 16*q**3.
4*q**3*(q - 4)*(q + 1)
Factor -q**2/4 - 13*q/2.
-q*(q + 26)/4
Solve 6*c**4/5 - 482*c**3/15 + 678*c**2/5 + 3122*c/15 + 196/5 = 0 for c.
-1, -2/9, 7, 21
Factor a**2/2 - 4443*a/4 + 2221/4.
(a - 2221)*(2*a - 1)/4
Suppose -10*f**4/7 - 22*f**3 - 690*f**2/7 - 106*f - 28 = 0. Calculate f.
-7, -1, -2/5
Solve 15*l**3/7 - 726*l**2/7 + 8928*l/7 - 3456/7 = 0.
2/5, 24
Factor -n**3/5 - 17*n**2.
-n**2*(n + 85)/5
Factor 12*t**4 + 552*t**3 - 1737*t**2 + 1323*t.
3*t*(t + 49)*(2*t - 3)**2
Solve 2*w**4 - 54*w**3 - 60*w**2 + 112*w = 0 for w.
-2, 0, 1, 28
Factor s**3/5 - s**2/5 - 2*s/5.
s*(s - 2)*(s + 1)/5
Suppose -162*j**4/5 - 738*j**3/5 - 124*j**2 + 392*j/5 - 48/5 = 0. What is j?
-3, -2, 2/9
Factor 4*n**2 - 108*n + 680.
4*(n - 17)*(n - 10)
Factor -5*k**3 - 108*k**2 - 561*k + 242.
-(k + 11)**2*(5*k - 2)
Solve -3*a**3 + 75*a**2 + 171*a - 243 = 0.
-3, 1, 27
Factor 107*q**2/7 - 106*q/7 - 1/7.
(q - 1)*(107*q + 1)/7
Let -2*u**3/3 - 584*u**2/3 - 43210*u/3 - 84100/3 = 0. What is u?
-145, -2
Factor n**3/6 - 1735*n**2/6 - 3473*n/6 - 579/2.
(n - 1737)*(n + 1)**2/6
Factor -d**3 + 78*d**2 - 1353*d + 6776.
-(d - 56)*(d - 11)**2
Let 2*o**2 - 74*o - 240 = 0. Calculate o.
-3, 40
Factor 5*x**2 + 370*x - 760.
5*(x - 2)*(x + 76)
What is k in -9*k**4 + 228*k**3 + 414*k**2 - 228*k - 405 = 0?
-5/3, -1, 1, 27
Determine m so that -5*m**4 - 365*m**3 - 1050*m**2 + 20*m + 1400 = 0.
-70, -2, 1
Factor -5*u**3 - 17455*u**2 - 15225120*u + 15242580.
-5*(u - 1)*(u + 1746)**2
Factor -3*x**2 - 2196*x - 401868.
-3*(x + 366)**2
Solve 3*d**4/5 - 6*d**3/5 - 207*d**2/5 - 78*d + 120 = 0 for d.
-5, -4, 1, 10
Solve 3*h**5/7 + 21*h**4 + 282*h**3/7 - 6*h**2/7 - 285*h/7 - 141/7 = 0 for h.
-47, -1, 1
Solve -18*a**4/5 - 12*a**3/5 + 2624*a**2 + 8748*a/5 + 1458/5 = 0 for a.
-27, -1/3, 27
Factor q**3/7 + 639*q**2/7 + 14445*q - 309123/7.
(q - 3)*(q + 321)**2/7
Solve -4*c**3/5 + 16*c**2/5 + 12*c/5 - 72/5 = 0 for c.
-2, 3
What is r in 2*r**5 - 134*r**4 + 2308*r**3 - 2044*r**2 - 2310*r + 2178 = 0?
-1, 1, 33
Factor g**3/4 + 27*g**2/2 - 57*g + 58.
(g - 2)**2*(g + 58)/4
Factor -28*a**3 + 208*a**2 - 364*a + 120.
-4*(a - 5)*(a - 2)*(7*a - 3)
Let -5*y**2 + 35*y - 50 = 0. Calculate y.
2, 5
Find y, given that 5*y**5/3 + 320*y**4/3 + 6290*y**3/3 + 11160*y**2 - 13365*y = 0.
-27, -11, 0, 1
Find p, given that 4*p**2 - 116*p + 840 = 0.
14, 15
Determine x, given that 10*x**3 + 35*x**2 + 35*x + 10 = 0.
-2, -1, -1/2
Factor -3*k**2/2 - 117*k/2 + 123.
-3*(k - 2)*(k + 41)/2
Factor t**2/5 - 2538*t/5 - 2539/5.
(t - 2539)*(t + 1)/5
Suppose 10*j**5 - 5*j**4 - 45*j**3 + 20*j**2 + 20*j = 0. Calculate j.
-2, -1/2, 0, 1, 2
Let 6498*k**2 - 228*k + 2 = 0. What is k?
1/57
What is r in 4*r**2/3 + 2980*r/3 + 555025/3 = 0?
-745/2
Factor d**3/5 + 8*d**2/5 - d - 84/5.
(d - 3)*(d + 4)*(d + 7)/5
Factor -2*d**3/7 + 2*d**2 - 4*d + 16/7.
-2*(d - 4)*(d - 2)*(d - 1)/7
Factor -5*w**2 - 6595*w - 13170.
-5*(w + 2)*(w + 1317)
Find t such that t**5 - 2*t**3 + t = 0.
-1, 0, 1
Factor 4*g**2 - 5464*g + 1865956.
4*(g - 683)**2
Determine j, given that -j**2 - 2716*j + 2717 = 0.
-2717, 1
Determine g, given that -g**2 - 211*g + 212 = 0.
-212, 1
Factor r**4 + 53*r**3 - 165*r**2 + 167*r - 56.
(r - 1)**3*(r + 56)
Determine u so that -335405*u**2 + 5180*u - 20 = 0.
2/259
Factor -3*l**2 - 60*l.
-3*l*(l + 20)
Factor -3*z**2 + 18*z + 273.
-3*(z - 13)*(z + 7)
Find r such that 12*r**3 + 76*r**2 - 192*r - 256 = 0.
-8, -1, 8/3
Factor m**2 + 84*m - 261.
(m - 3)*(m + 87)
Solve j**4/3 + 2*j**3 - 5*j**2 + 8*j/3 = 0 for j.
-8, 0, 1
Factor -4*t**3/3 + 16*t - 64/3.
-4*(t - 2)**2*(t + 4)/3
Factor -i**5 - 14*i**4 - 65*i**3 - 124*i**2 - 84*i.
-i*(i + 2)**2*(i + 3)*(i + 7)
Solve f**4/3 + f**3 + f**2/3 - f - 2/3 = 0 for f.
-2, -1, 1
Solve -2*b**3 - 7*b**2 - 2*b + 3 = 0 for b.
-3, -1, 1/2
Factor -3*k**3/4 + 19*k**2/2 + 217*k/4 + 17.
-(k - 17)*(k + 4)*(3*k + 1)/4
Factor 2*b**3/11 - 2*b**2/11 - 16*b/11 + 24/11.
2*(b - 2)**2*(b + 3)/11
Let 2*s**5 + 186*s**4 + 4768*s**3 + 20776*s**2 + 31680*s + 15488 = 0. Calculate s.
-44, -2, -1
Factor g**2/2 + 11*g/2 + 5.
(g + 1)*(g + 10)/2
Factor 8*g**3/5 - 26*g**2/5 + 18/5.
2*(g - 3)*(g - 1)*(4*g + 3)/5
Find l such that -l**4 + 33*l**3 - 93*l**2 + 91*l - 30 = 0.
1, 30
Solve -15*k**4 + 55*k**3 - 75*k**2 + 45*k - 10 = 0 for k.
2/3, 1
Solve 1682*d**5/13 + 10788*d**4/13 + 24432*d**3/13 + 22240*d**2/13 + 6432*d/13 + 576/13 = 0 for d.
-2, -6/29
Determine k so that 3*k**3/5 + 5*k**2 + 24*k/5 - 28/5 = 0.
-7, -2, 2/3
Suppose y**2/2 - 1207*y + 1456849/2 = 0. Calculate y.
1207
Factor 4*i**4 - 92*i**3 - 196*i**2 - 100*i.
4*i*(i - 25)*(i + 1)**2
Determine x, given that -3*x**4/5 - 51*x**3/5 + 111*x**2/5 - 57*x/5 = 0.
-19, 0, 1
Let 2*p**3/13 + 14*p**2/13 + 28*p/13 + 16/13 = 0. Calculate p.
-4, -2, -1
Suppose v**4 - 55*v**3 + 199*v**2 + 255*v = 0. What is v?
-1, 0, 5, 51
Solve 121*s**3/3 + 4358*s**2/3 + 13092*s + 216 = 0 for s.
-18, -2/121
Determine p, given that -3*p**2/8 - 39*p/8 - 15 = 0.
-8, -5
Solve i**2 + 84*i + 1764 = 