7 = 0.
328
Determine f so that -f**5/2 + 4*f**4 + 4*f**3 - 48*f**2 - 72*f = 0.
-2, 0, 6
Let -30*z**5/7 + 22*z**4/7 + 2*z**3 - 6*z**2/7 = 0. Calculate z.
-3/5, 0, 1/3, 1
Factor 2*o**2/5 + 6*o/5.
2*o*(o + 3)/5
Determine l, given that 2*l**3/5 + 84*l**2 - 2576*l/5 + 3456/5 = 0.
-216, 2, 4
Factor 3*w**3/7 - 4941*w**2/7 + 2712609*w/7 - 496407447/7.
3*(w - 549)**3/7
Factor -2*l**2/7 + 1644*l/7 - 337842/7.
-2*(l - 411)**2/7
Factor -4*s**4 - 1728*s**3 - 191736*s**2 - 1104192*s - 1633284.
-4*(s + 3)**2*(s + 213)**2
Find u, given that -40*u**2/11 - 42*u/11 - 2/11 = 0.
-1, -1/20
Let 3*b**5 + 6*b**4 - 9*b**3 - 12*b**2 + 12*b = 0. What is b?
-2, 0, 1
Solve 4*m**5 - 396*m**4 + 9192*m**3 + 29992*m**2 + 30804*m + 10404 = 0 for m.
-1, 51
Solve -121*m**3 + 4158*m**2 - 1500*m + 136 = 0 for m.
2/11, 34
Determine v, given that 4*v**2 - 28*v = 0.
0, 7
Let 225*i**4/4 + 225*i**3/4 - i**2 - i = 0. What is i?
-1, -2/15, 0, 2/15
Solve -126*k**5/5 + 104*k**4/5 + 2168*k**3/5 + 452*k**2 + 262*k/5 - 12 = 0 for k.
-3, -1, -2/7, 1/9, 5
Factor -2*d**4 - 14*d**3 + 6*d**2 + 38*d - 28.
-2*(d - 1)**2*(d + 2)*(d + 7)
Factor r**3/3 - 14*r**2/3 + 11*r.
r*(r - 11)*(r - 3)/3
Factor 2*h**3/11 - 14*h**2/11 + 16*h/11 + 32/11.
2*(h - 4)**2*(h + 1)/11
Solve 2*v**3/7 + 1250*v**2/7 - 358*v + 1254/7 = 0 for v.
-627, 1
Factor -5*d**3 - 25*d**2 + 240*d + 1260.
-5*(d - 7)*(d + 6)**2
Find f, given that 4*f**3 - 100*f**2 - 8132*f - 90972 = 0.
-19, 63
Solve -4*f**3 + 1572*f**2 - 162732*f + 1605164 = 0 for f.
11, 191
Solve 4*o**5/11 + 14*o**4/11 + 10*o**3/11 = 0.
-5/2, -1, 0
Find r, given that -4*r**2 + 4016*r - 1008016 = 0.
502
Factor q**5 + 6*q**4 + 8*q**3.
q**3*(q + 2)*(q + 4)
Suppose -o**3 - 140*o**2 + 427*o - 286 = 0. Calculate o.
-143, 1, 2
Suppose 24336*d**2 - 3120*d + 100 = 0. Calculate d.
5/78
Solve -p**2/6 + 793*p/6 - 132 = 0 for p.
1, 792
Factor 4*h**5 - 8*h**4 - 16*h**3 + 8*h**2 + 12*h.
4*h*(h - 3)*(h - 1)*(h + 1)**2
Factor 6*t**2/11 - 1098*t/11.
6*t*(t - 183)/11
Suppose -344*s**3 + 2*s**2 + 1376*s - 8 = 0. What is s?
-2, 1/172, 2
Factor -2*a**4 - 52*a**3 - 280*a**2 + 784*a.
-2*a*(a - 2)*(a + 14)**2
What is v in 2*v**5 - 82*v**4 + 446*v**3 - 934*v**2 + 848*v - 280 = 0?
1, 2, 35
Factor b**5/6 - 10*b**4/3 + 39*b**3/2 - 27*b**2.
b**2*(b - 9)**2*(b - 2)/6
Determine q, given that 2*q**2/15 + 188*q/15 - 128/5 = 0.
-96, 2
Find r, given that -r**3 - 11*r**2 + 26*r = 0.
-13, 0, 2
Suppose -8*x**5 - 324*x**4 - 3360*x**3 - 1600*x**2 = 0. What is x?
-20, -1/2, 0
Solve s**3/3 + 17*s**2/3 + 14*s = 0.
-14, -3, 0
Solve j**4/9 + j**3 - 22*j**2/9 = 0 for j.
-11, 0, 2
Solve -2*o**2/17 + 1076*o/17 - 144722/17 = 0.
269
Factor 4*u**3/5 - 116*u**2/5 + 216*u/5.
4*u*(u - 27)*(u - 2)/5
Determine m so that -3*m**3 + 18*m**2 - 15*m = 0.
0, 1, 5
Suppose -p**2 - 592*p - 87616 = 0. Calculate p.
-296
Determine j, given that 2*j**3/3 - 112*j**2/3 + 1430*j/3 - 1352 = 0.
4, 13, 39
Factor -4*l**3 + 872*l**2 - 46640*l - 96800.
-4*(l - 110)**2*(l + 2)
Let -10*a**2 - 392*a - 78 = 0. Calculate a.
-39, -1/5
Determine u, given that -2*u**2 + 106*u - 300 = 0.
3, 50
Factor -h**5/6 - 70*h**4/3 - 6625*h**3/6 - 55085*h**2/3 - 100510*h/3 - 48668/3.
-(h + 1)**2*(h + 46)**3/6
Factor 3*p**5 - 6*p**4 + 6*p**2 - 3*p.
3*p*(p - 1)**3*(p + 1)
Let 4*p**5 - 32*p**4 - 4*p**3 + 32*p**2 = 0. What is p?
-1, 0, 1, 8
Let -135*w**5/2 + 795*w**4/2 + 235*w**3/2 - 855*w**2/2 - 50*w + 30 = 0. Calculate w.
-1, -1/3, 2/9, 1, 6
Factor -3*f**3 + 453*f**2 + 456*f.
-3*f*(f - 152)*(f + 1)
Find a such that 5*a**5 + 2800*a**4 + 588000*a**3 + 54880000*a**2 + 1920800000*a = 0.
-140, 0
Find x such that -2*x**4/11 + 4*x**3/11 + 18*x**2/11 - 36*x/11 = 0.
-3, 0, 2, 3
Let 3*c**2 + 15*c - 378 = 0. Calculate c.
-14, 9
Solve -2*i**2/7 - 64*i/7 - 62/7 = 0.
-31, -1
Solve 5*f**5 - 620*f**4 + 4185*f**3 - 10630*f**2 + 11740*f - 4680 = 0.
1, 2, 117
Factor l**4 + 2*l**3 - 13*l**2 + 10*l.
l*(l - 2)*(l - 1)*(l + 5)
Let v**2 - 1426*v + 508369 = 0. Calculate v.
713
Find x, given that x**4/12 - 2041*x**3/12 + 348159*x**2/4 - 3119159*x/12 + 1038361/6 = 0.
1, 2, 1019
Solve -5*a**4 - 25*a**3 + 320*a**2 + 700*a = 0.
-10, -2, 0, 7
What is s in 3*s**5 - 44*s**4/3 + 58*s**3/3 - 20*s**2/3 - s = 0?
-1/9, 0, 1, 3
Factor 4*m**4/7 + 8*m**3 + 48*m**2/7 - 1080*m/7 + 972/7.
4*(m - 3)*(m - 1)*(m + 9)**2/7
Solve 10*f**5 + 64*f**4 - 586*f**3 + 1016*f**2 - 216*f - 288 = 0.
-12, -2/5, 1, 2, 3
Factor 3*a**2 - 87*a - 186.
3*(a - 31)*(a + 2)
Solve -w**5/5 - 11*w**4/5 - 41*w**3/5 - 49*w**2/5 + 6*w + 72/5 = 0 for w.
-4, -3, -2, 1
Factor 5*p**3 + 1760*p**2 + 154880*p.
5*p*(p + 176)**2
Factor -2*k**4/15 + 1102*k**3/15 + 442*k**2/3 + 1106*k/15.
-2*k*(k - 553)*(k + 1)**2/15
Factor -2*y**2/7 + 7964*y/7 - 7928162/7.
-2*(y - 1991)**2/7
Determine w, given that -4*w**2 - 460*w + 1416 = 0.
-118, 3
What is n in -18*n**5 - 654*n**4 - 3830*n**3 + 822*n**2 + 24720*n - 23200 = 0?
-29, -5, 4/3
Factor 5*j**3 + 20*j**2 - 55*j + 30.
5*(j - 1)**2*(j + 6)
What is y in -14*y**5/13 - 66*y**4/13 - 50*y**3/13 + 90*y**2/13 + 64*y/13 - 24/13 = 0?
-3, -2, -1, 2/7, 1
Find k, given that 5*k**4 - 860*k**3 = 0.
0, 172
Factor -b**3/10 - 29*b**2/5 - 77*b/2 + 1470.
-(b - 12)*(b + 35)**2/10
Determine d so that -4*d**5 + 32*d**4 - 64*d**3 + 8*d**2 + 68*d - 40 = 0.
-1, 1, 2, 5
Solve f**5/5 - 3*f**3/5 - 2*f**2/5 = 0.
-1, 0, 2
Factor 4*a**3/5 - 68*a**2/5 + 108*a/5 + 36.
4*(a - 15)*(a - 3)*(a + 1)/5
Let 5*i**5 - 60*i**4 + 200*i**3 - 90*i**2 - 205*i + 150 = 0. Calculate i.
-1, 1, 5, 6
Factor q**2 + 14*q - 15.
(q - 1)*(q + 15)
Suppose -4*o**4/7 - 8*o**3/7 + 32*o**2/7 = 0. Calculate o.
-4, 0, 2
Factor -2*g**4/3 + 132*g**3 - 394*g**2/3.
-2*g**2*(g - 197)*(g - 1)/3
Solve 2*f**2 + 10*f = 0 for f.
-5, 0
Find x, given that 12*x**5 + 488*x**4 + 776*x**3 - 176*x**2 - 788*x - 312 = 0.
-39, -1, -2/3, 1
Find g such that -4*g**3 - 48*g**2 - 68*g + 120 = 0.
-10, -3, 1
Let -2*v**5 + 12*v**4 + 56*v**3 - 112*v**2 - 576*v - 512 = 0. Calculate v.
-2, 4, 8
Let -2*v**5/13 - 10*v**4/13 + 18*v**3/13 + 154*v**2/13 + 224*v/13 + 96/13 = 0. Calculate v.
-4, -3, -1, 4
What is u in 2*u**3/15 - 34*u**2/15 + 42*u/5 + 54/5 = 0?
-1, 9
Find c such that 2*c**5 + 60*c**4 - c**3/2 - 15*c**2 = 0.
-30, -1/2, 0, 1/2
What is r in -r**4/4 - 43*r**3/4 - 84*r**2 + 720*r = 0?
-24, 0, 5
Suppose -2*w**4/13 + 70*w**3/13 - 606*w**2/13 - 70*w/13 + 608/13 = 0. What is w?
-1, 1, 16, 19
Determine r so that -2*r**3/5 - 154*r**2/5 = 0.
-77, 0
Suppose -2*f**5/9 + 58*f**4/9 - 454*f**3/9 + 1526*f**2/9 - 784*f/3 + 152 = 0. What is f?
2, 3, 19
Factor 5*v**2 + 500*v + 12500.
5*(v + 50)**2
Let 8*f**2/7 - 26*f/7 - 24/7 = 0. Calculate f.
-3/4, 4
Factor -2*u**3 + 86*u**2 - 868*u + 784.
-2*(u - 28)*(u - 14)*(u - 1)
Let -725*r**3 + 4340*r**2 - 3565*r - 50 = 0. Calculate r.
-2/145, 1, 5
Determine o so that 4*o**5/7 + 71*o**4/7 + 370*o**3/7 + 479*o**2/7 + 16*o - 64/7 = 0.
-8, -1, 1/4
Factor -b**2 + 1600.
-(b - 40)*(b + 40)
Factor -2*k**2/11 + 36*k/11.
-2*k*(k - 18)/11
Let 2*o**3/5 - 16*o**2/5 - 8*o = 0. What is o?
-2, 0, 10
Let v**3 - 135*v**2 - 553*v - 417 = 0. Calculate v.
-3, -1, 139
Factor -2*a**4/7 - 320*a**3/7 - 12144*a**2/7 + 52480*a/7 - 53792/7.
-2*(a - 2)**2*(a + 82)**2/7
Factor -3*d**5 + 54*d**4 - 291*d**3 + 432*d**2 - 192*d.
-3*d*(d - 8)**2*(d - 1)**2
Factor -3*k**2/5 - 4668*k/5 - 1815852/5.
-3*(k + 778)**2/5
Factor -2*j**2/11 + 166*j/11.
-2*j*(j - 83)/11
Factor 3*q**2/4 - 6333*q/2 + 13368963/4.
3*(q - 2111)**2/4
Let -2*t**3/7 + 220*t**2/7 - 218*t/7 = 0. Calculate t.
0, 1, 109
Let x**4 - 20*x**3 - 66*x**2 - 68*x - 23 = 0. What is x?
-1, 23
Factor -o**2 - 8*o + 33.
-(o - 3)*(o + 11)
Factor 3*t**3 - 384*t**2 + 12288*t.
3*t*(t - 64)**2
Let 2*a**2/3 + 2588*a/3 + 2582 = 0. Calculate a.
-1291, -3
Solve -x**2 - 555*x = 0 for x.
-555, 0
Factor -q**5/3 + 11*q**4/3 - 13*q**3 + 61*q**2/3 - 44*q/3 + 4.
-(q - 6)*(q - 2)*(q - 1)**3/3
Factor -y**2 + 28*y + 29.
-(y - 29)*(y + 1)
Factor r**2/2 + 74*r + 2738.
(r + 74)**2/2
Factor 4*p**5 + 16*p**4 + 20*p**3 + 8*p**2.
4*p**2*(p + 1)**2*(p + 2)
Factor 5*a**4/3 - 260*a**3/3 + 1570*a**2 - 34580*a/3 + 88445/3.
5*(a - 19)**2*(a - 7)**2/3
Suppose 2*y**4 + 10*y**3 - 12*y**2 = 0. Calculate y.
-6, 0, 1
Suppose -27*h**4/8 - 123*h**3/2 - 2943*h**2/8 - 2961*h/4 - 147 = 0. What is h?
-7, -4, -2/9
Determine s so that 3*s**5 - 237*s**4 + 4044*s**3 + 25452*s**2 + 21168*s = 0.
-4, -1, 0, 42
