
Factor l**2/2 + 14*l - 245/2.
(l - 7)*(l + 35)/2
Factor -l**3 - 3*l**2 + 1726*l - 3432.
-(l - 39)*(l - 2)*(l + 44)
Solve 22*n**2/3 - 8606*n/3 + 1564/3 = 0 for n.
2/11, 391
Let -21*b**4/4 - 213*b**3/2 + 13641*b**2 + 3906*b = 0. What is b?
-62, -2/7, 0, 42
Factor -4*c**4/3 - 1228*c**3/3 + 45756*c**2 - 4493636*c/3 + 47665600/3.
-4*(c - 31)**3*(c + 400)/3
Let q**5 - 71*q**4 + 802*q**3 - 2852*q**2 + 3976*q - 1856 = 0. What is q?
1, 2, 8, 58
Factor 1445*o**3 - 14875*o**2 + 44635*o - 31205.
5*(o - 1)*(17*o - 79)**2
Solve 5*i**5/4 - 29*i**4/2 - 87*i**3/2 + 680*i**2 - 4663*i/4 - 1155/2 = 0.
-7, -2/5, 3, 5, 11
Factor -v**5 + 27*v**4 - 225*v**3 + 729*v**2 - 810*v.
-v*(v - 15)*(v - 6)*(v - 3)**2
Factor -3*f**2/5 + 418554*f/5 - 14598954243/5.
-3*(f - 69759)**2/5
Factor 2*q**2/5 - 12022*q/5 - 12024/5.
2*(q - 6012)*(q + 1)/5
Factor -2*r**2 + 116044*r - 1683276242.
-2*(r - 29011)**2
Find a, given that 7605*a**5 + 33150*a**4 + 36125*a**3 = 0.
-85/39, 0
Factor -2*k**4/3 - 8*k**3/3 + 50*k**2/3 + 56*k/3.
-2*k*(k - 4)*(k + 1)*(k + 7)/3
Let f**5/2 + 10*f**4 + 25*f**3/2 - 355*f**2 + 910*f - 676 = 0. What is f?
-13, 2
Let -2*b**4/13 + 90*b**3/13 - 296*b**2/13 - 1440*b/13 + 5248/13 = 0. What is b?
-4, 4, 41
Let -3*t**5/4 + 3351*t**4/4 + 3363*t**3/2 - 3351*t**2 - 6714*t = 0. Calculate t.
-2, 0, 2, 1119
Let -y**2/8 + 111*y/4 + 36963/8 = 0. What is y?
-111, 333
Determine y so that 62*y**5/5 - 552*y**4/5 + 504*y**3/5 + 3092*y**2/5 + 2154*y/5 + 36 = 0.
-1, -3/31, 5, 6
Let 4*z**3 + 4000*z**2 - 8012*z + 4008 = 0. What is z?
-1002, 1
Factor x**3/3 - 1534*x**2/3 + 585209*x/3 + 2365444/3.
(x - 769)**2*(x + 4)/3
Find g, given that -3*g**4/2 - 147*g**3/2 + 2199*g**2/2 + 147*g/2 - 1098 = 0.
-61, -1, 1, 12
Suppose -2*f**5 - 92678*f**4 - 1073605118*f**3 + 1073790478*f**2 + 1073605120*f - 1073697800 = 0. What is f?
-23170, -1, 1
Determine f, given that 4*f**2 - 912*f = 0.
0, 228
Determine q, given that q**3/3 - 97*q**2/3 - 298*q/3 - 200/3 = 0.
-2, -1, 100
Determine u so that -2*u**4/5 + 118*u**3/5 + 894*u**2/5 + 1962*u/5 + 1188/5 = 0.
-3, -1, 66
Suppose 5*l**3/4 - 545*l**2/4 + 7515*l/4 - 6975/4 = 0. What is l?
1, 15, 93
Let 75*q**5/2 - 12435*q**4/2 - 93363*q**3/2 - 10185*q**2/2 + 28068*q - 7266 = 0. Calculate q.
-7, -1, 2/5, 173
Let -9*w**3/2 - 11262*w**2 + 75171*w/2 - 11277 = 0. What is w?
-2506, 1/3, 3
Find i such that -5*i**4 + 15*i**3 + 3375*i**2 - 3395*i - 6750 = 0.
-25, -1, 2, 27
Factor 2*d**3 - 334*d**2 - 4322*d + 4654.
2*(d - 179)*(d - 1)*(d + 13)
Solve -2*k**2/7 + 161100*k/7 + 161102/7 = 0.
-1, 80551
Factor 100*x**2 - 4470008*x + 357600.
4*(x - 44700)*(25*x - 2)
Let 4*z**5/5 + 808*z**4/5 + 320*z**3 = 0. Calculate z.
-200, -2, 0
Factor 5*n**3/4 - 27265*n**2/4 + 163455*n/4 - 245115/4.
5*(n - 5447)*(n - 3)**2/4
Find x, given that -2*x**2/3 + 2122*x/3 - 8456/3 = 0.
4, 1057
Find j such that -2*j**5/9 + 8*j**4/3 + 236*j**3/9 + 184*j**2/3 + 38*j = 0.
-3, -1, 0, 19
Determine r so that -22011*r**4 - 44019*r**3 + 6*r**2 = 0.
-2, 0, 1/7337
Factor h**2/6 + 3393*h/2 - 5090/3.
(h - 1)*(h + 10180)/6
Solve -972*i**3 + 115648*i**2 - 112316*i - 2360 = 0 for i.
-5/243, 1, 118
Find b such that -65*b**3 + 164*b**2 + 743*b + 310 = 0.
-2, -31/65, 5
Determine m so that 3*m**4/7 - 3615*m**3/7 - 3642*m**2/7 + 28908*m/7 + 43416/7 = 0.
-2, 3, 1206
Factor 3*a**3/4 + 21*a**2 - 585*a/4 - 10125/2.
3*(a - 15)*(a + 18)*(a + 25)/4
Find p, given that 5*p**4 + 15935*p**3 - 15*p**2 - 47795*p + 31870 = 0.
-3187, -2, 1
What is x in -2*x**3/5 + 40728*x**2/5 - 207305514*x/5 - 414773956/5 = 0?
-2, 10183
Factor 26*p**2 - 20004*p + 7690.
2*(p - 769)*(13*p - 5)
Suppose 4*f**3 + 488*f**2 + 13124*f + 101728 = 0. What is f?
-88, -17
Factor 3*o**4 - 129*o**3 + 762*o**2 + 5304*o.
3*o*(o - 34)*(o - 13)*(o + 4)
What is s in s**2/3 - 8126*s/3 - 2709 = 0?
-1, 8127
Factor -f**3/6 + 56*f**2/3 - 847*f/2 + 405.
-(f - 81)*(f - 30)*(f - 1)/6
Determine p so that 10*p**3 - 16306*p**2/7 + 125068*p/7 + 7200/7 = 0.
-2/35, 8, 225
Determine b, given that -b**5/7 - 29*b**4/7 - 137*b**3/7 + 365*b**2/7 - 198*b/7 = 0.
-22, -9, 0, 1
Solve 3*w**2 - 633*w + 28710 = 0.
66, 145
Solve v**3 - 7*v**2 - 73*v - 65 = 0.
-5, -1, 13
What is i in i**3/2 - 4459*i**2/2 + 20020*i + 22250 = 0?
-1, 10, 4450
Let 4*b**3 - 72*b**2 - 160*b = 0. What is b?
-2, 0, 20
Let 3*o**2 - 630*o + 17952 = 0. What is o?
34, 176
Find s, given that -4*s**5 - 168*s**4 + 2832*s**3 - 1768*s**2 - 12684*s - 7920 = 0.
-55, -1, 3, 12
Factor -2*y**3 - 5684*y**2 - 4027090*y + 16199432.
-2*(y - 4)*(y + 1423)**2
Factor -z**3 - 34*z**2 + 219*z + 936.
-(z - 8)*(z + 3)*(z + 39)
Factor -2*m**3 + 2208*m**2 - 598750*m.
-2*m*(m - 625)*(m - 479)
Factor u**2 + 48008*u + 576192016.
(u + 24004)**2
Determine p so that -2*p**3 - 2322*p**2 - 883008*p - 109351080 = 0.
-438, -285
Solve -5*o**2 + 480*o + 339605 = 0.
-217, 313
What is a in 6627*a**5/5 - 184992*a**4/5 + 163149*a**3/5 + 14892*a**2/5 + 324*a/5 = 0?
-2/47, 0, 1, 27
Factor q**2/3 + 583*q/3 + 7740.
(q + 43)*(q + 540)/3
Find t such that 2*t**4 + 458*t**3 + 3140*t**2 + 7128*t + 5328 = 0.
-222, -3, -2
Factor 3*o**2/4 + 2913*o/4 - 89523/2.
3*(o - 58)*(o + 1029)/4
Factor -5*l**2/3 - 350*l/3 + 7085.
-5*(l - 39)*(l + 109)/3
Factor 2*b**3/5 - 16492*b**2/5 + 34014744*b/5 - 67963536/5.
2*(b - 4122)**2*(b - 2)/5
Find l, given that 32*l**4/7 - 412*l**3/7 - 3756*l**2/7 + 412*l/7 + 532 = 0.
-49/8, -1, 1, 19
Let -4*k**5/7 - 59288*k**4/7 - 219216920*k**3/7 + 3518090192*k**2/7 - 2420997756*k + 3082327416 = 0. What is k?
-7419, 2, 7
Factor 900*o**4 + 331440*o**3 + 88336*o**2 + 5888*o.
4*o*(o + 368)*(15*o + 2)**2
Factor 657*v**2/4 + 645*v/4 - 3.
3*(v + 1)*(219*v - 4)/4
Find h, given that -3*h**3/2 + 1326*h**2 - 308310*h + 6656400 = 0.
24, 430
Suppose 2*v**3/11 + 1588*v**2/11 - 19370*v/11 - 20956/11 = 0. What is v?
-806, -1, 13
Determine w, given that w**3 - 18188*w**2 + 109101*w - 163638 = 0.
3, 18182
Let -2*s**4/15 - 20*s**3/3 - 874*s**2/15 + 320*s/3 + 1976/5 = 0. Calculate s.
-38, -13, -2, 3
Factor -4*d**3 + 28368*d**2 - 226752*d + 453376.
-4*(d - 7084)*(d - 4)**2
Determine v, given that v**2 - 10933*v - 10934 = 0.
-1, 10934
Suppose -3*l**3 + 19488*l**2 + 38985*l + 19494 = 0. What is l?
-1, 6498
Solve r**4/2 + 37*r**3/2 - 8270*r**2 - 8288*r = 0 for r.
-148, -1, 0, 112
Find t, given that -15*t**2 - 22527*t - 18012 = 0.
-1501, -4/5
Solve -16*k**3 - 4788*k**2 - 20076*k - 4720 = 0.
-295, -4, -1/4
Factor 4*h**2 - 157596*h.
4*h*(h - 39399)
Factor -35*m**2 + 771655*m - 220470.
-5*(m - 22047)*(7*m - 2)
Factor -h**3/3 + 58*h**2/3 - 123*h + 204.
-(h - 51)*(h - 4)*(h - 3)/3
Factor 35937*q**5 + 556116*q**4 + 2684880*q**3 + 2980800*q**2 - 5184000*q.
3*q*(9*q - 8)*(11*q + 60)**3
Determine n so that 4*n**5 + 136*n**4 - 20892*n**3 + 41360*n**2 - 20608*n = 0.
-92, 0, 1, 56
Solve 3*x**5 - 44463*x**4 + 219676854*x**3 - 361880895480*x**2 + 361222087200*x + 723322704000 = 0 for x.
-1, 2, 4940
Factor -4*o**2 + 16880*o - 16876.
-4*(o - 4219)*(o - 1)
Suppose -3*n**2/4 + 3447*n/2 - 20574 = 0. What is n?
12, 2286
Suppose 9*r**5 - 3*r**4 - 78*r**3 + 60*r**2 + 72*r = 0. Calculate r.
-3, -2/3, 0, 2
Let -5*z**2 + 100530*z - 505314045 = 0. Calculate z.
10053
Factor 2*u**3/5 + 14912*u**2/5 - 119392*u/5 + 238848/5.
2*(u - 4)**2*(u + 7464)/5
Let -2*j**5/13 + 5812*j**4/13 + 11634*j**3/13 - 5812*j**2/13 - 11632*j/13 = 0. Calculate j.
-2, -1, 0, 1, 2908
Determine t so that -56*t**4/3 + 908*t**3/3 - 344*t**2 + 60*t = 0.
0, 3/14, 1, 15
Suppose -3*c**3 + 17586*c**2 - 25754688*c - 51579744 = 0. Calculate c.
-2, 2932
Factor 76*x**3 - 93*x**2 + 33*x/2 + 1/2.
(x - 1)*(4*x - 1)*(38*x + 1)/2
Let -188498*n**4 - 147025984*n**3/3 + 1793400664*n**2/9 - 7782688*n/9 + 2816/3 = 0. What is n?
-264, 2/921, 4
Find h such that h**5 - 115746*h**4 + 3349168381*h**3 + 6698684004*h**2 + 3349399876*h = 0.
-1, 0, 57874
Solve -2*d**3/11 + 54*d**2/11 - 192*d/11 + 184/11 = 0.
2, 23
Solve -3*l**3 - 22896*l**2 - 43708455*l - 87325350 = 0 for l.
-3815, -2
What is r in r**2/10 + 73649*r/5 = 0?
-147298, 0
Factor -5*h**3/2 - 22005*h**2/2 + 44025*h/2 - 22015/2.
-5*(h - 1)**2*(h + 4403)/2
What is t in 3*t**2 + 16050*t - 273717 = 0?
-5367, 17
Suppose -2*z**3/11 - 56*z**2/11 + 3136*z/11 = 0. What is z?
-56, 0, 28
Solve 8*q**4/3 - 290*q**3/3 + 1176*q**2 - 4896*q + 1152 = 0.
1/4, 12
Determine f so that 5*f**3 - 1740*f**2 + 182400*f - 601