u**2/5 - 404*u/5 + 4686/5 = 0 for u.
-213, 11
Factor a**3/2 - 87*a**2/2 + 436*a + 1050.
(a - 75)*(a - 14)*(a + 2)/2
Suppose -3*v**2 + 122337*v - 122334 = 0. Calculate v.
1, 40778
Solve 4*m**2 + 11836*m - 23688 = 0 for m.
-2961, 2
Find z, given that 4*z**2 + 1904*z - 45908 = 0.
-499, 23
Factor -5*t**2/4 + 785*t/4 - 1155/2.
-5*(t - 154)*(t - 3)/4
Let -3*g**4 - 210573*g**3/7 - 60141*g**2/7 + 210573*g/7 + 60162/7 = 0. What is g?
-10027, -1, -2/7, 1
Find g such that 2*g**2 + 121548*g + 1846739538 = 0.
-30387
Factor 2*y**4 - 6*y**3 - 72*y**2 - 64*y.
2*y*(y - 8)*(y + 1)*(y + 4)
Factor 3*n**2/7 + 53226*n + 1652587461.
3*(n + 62097)**2/7
What is n in -3*n**3 + 48*n**2 - 87*n - 390 = 0?
-2, 5, 13
Factor 2916*p**3/5 - 1257228*p**2/5 + 186208*p/5 - 6896/5.
4*(p - 431)*(27*p - 2)**2/5
Solve u**3/4 + 16635*u**2/4 - 33282*u + 66572 = 0 for u.
-16643, 4
Factor -2*r**4 - 770*r**3 - 2296*r**2 - 1528*r.
-2*r*(r + 1)*(r + 2)*(r + 382)
Solve 2*r**4 - 1266*r**3 + 207186*r**2 - 2165182*r + 5803260 = 0 for r.
5, 6, 311
Determine m, given that -2*m**2/7 + 13292*m/7 - 13290/7 = 0.
1, 6645
Factor f**2/8 + 481147*f/2 + 231502435609/2.
(f + 962294)**2/8
Let -z**2 - 70*z + 4400 = 0. Calculate z.
-110, 40
Suppose 4*a**5/3 - 236*a**4/3 + 3356*a**3/3 + 3836*a**2/3 - 1120*a - 1200 = 0. Calculate a.
-1, 1, 30
Suppose 22*t**3/5 + 18*t**2 - 22*t/5 - 18 = 0. What is t?
-45/11, -1, 1
Let 27*q**5/8 - 6915*q**4/4 - 52521*q**3/8 - 14313*q**2/2 - 3099*q/2 + 774 = 0. What is q?
-2, -1, 2/9, 516
Factor -n**4/3 + 14*n**3/3 + 208*n**2/3 + 736*n/3 + 256.
-(n - 24)*(n + 2)*(n + 4)**2/3
Determine p so that 2*p**3/5 - 1004*p**2/5 + 2986*p/5 + 3992/5 = 0.
-1, 4, 499
Let -3*n**3 - 2561*n**2/3 - 13288*n + 18224/3 = 0. Calculate n.
-268, -17, 4/9
Suppose -5*s**3/3 + 1231*s**2 - 13222*s/3 - 1960 = 0. What is s?
-2/5, 4, 735
Factor 6285*h**2/8 - 3141*h/2 - 3/2.
3*(h - 2)*(2095*h + 2)/8
Factor -11288850001*v**2 + 2124980*v - 100.
-(106249*v - 10)**2
What is d in 6*d**3/7 - 454*d**2 + 1200*d + 16864/7 = 0?
-4/3, 4, 527
Solve a**3/5 + 256*a**2/5 + 12549*a/5 - 516906/5 = 0.
-141, 26
Factor 21*q**3 - 550*q**2 + 2712*q - 3392.
(q - 4)*(q - 2)*(21*q - 424)
Determine r so that -r**3 + 41*r**2 - 375*r + 783 = 0.
3, 9, 29
Suppose 3*f**3/5 + 1446*f**2/5 + 555*f - 10080 = 0. What is f?
-480, -7, 5
Factor 2*k**3 - 1688*k**2 - 6778*k - 5088.
2*(k - 848)*(k + 1)*(k + 3)
Determine t, given that -2*t**4 - 19372*t**3 + 427110*t**2 - 407736*t = 0.
-9708, 0, 1, 21
Factor -a**3/6 - 725*a**2/6 - 8689*a/2 + 8931/2.
-(a - 1)*(a + 39)*(a + 687)/6
What is s in 2*s**3/7 - 30*s**2 + 6750*s/7 - 60750/7 = 0?
15, 45
Find a such that -2*a**3 - 1340*a**2 + 630982*a = 0.
-989, 0, 319
Factor 2*y**3/3 - 162*y**2 - 1010*y/3 + 2450.
2*(y - 245)*(y - 3)*(y + 5)/3
Factor 5*v**2 - 367430*v + 734840.
5*(v - 73484)*(v - 2)
Find x, given that -2*x**2 - 17784*x - 39533832 = 0.
-4446
Factor 2*w**3 - 8*w**2 - 3704*w - 7360.
2*(w - 46)*(w + 2)*(w + 40)
Let 51*k**2 + 7767*k - 54378 = 0. Calculate k.
-159, 114/17
What is m in 4*m**2 + 217808*m + 2965020304 = 0?
-27226
Suppose 124*l**4 - 9632*l**3 + 153120*l**2 + 1362816*l + 423360 = 0. What is l?
-6, -10/31, 42
Factor u**2 + 1058*u + 165597.
(u + 191)*(u + 867)
Factor 2*l**3/5 - 324*l**2/5 - 18078*l/5 - 220064/5.
2*(l - 208)*(l + 23)**2/5
Solve -25*n**2 - 30880*n - 9535744 = 0.
-3088/5
Solve a**2/5 + 69*a/5 + 154 = 0.
-55, -14
Determine k so that -70*k**5 + 2652*k**4 - 11238*k**3 - 1624*k**2 + 1320*k = 0.
-2/5, 0, 2/7, 5, 33
Solve 75*s**5/4 + 31035*s**4/4 + 3194997*s**3/4 - 3226107*s**2/4 = 0 for s.
-1037/5, 0, 1
Determine z, given that 2*z**4 - 4176*z**3 + 2188208*z**2 - 8702784*z + 8686112 = 0.
2, 1042
Suppose -2*k**3/7 + 3268*k**2/7 + 9858*k/7 - 58932/7 = 0. Calculate k.
-6, 3, 1637
Factor -2*r**2/19 + 16516*r/19 - 49530/19.
-2*(r - 8255)*(r - 3)/19
Factor 2*u**2/19 - 19052*u/19 - 324462/19.
2*(u - 9543)*(u + 17)/19
Let 3*v**4/7 - 471*v**3 - 9918*v**2/7 - 12*v/7 + 13224/7 = 0. Calculate v.
-2, 1, 1102
Determine x, given that 3*x**4 - 231*x**3 + 5526*x**2 - 39840*x - 45600 = 0.
-1, 20, 38
Determine p so that -2*p**5/3 + 26*p**4/3 + 274*p**3 + 2950*p**2/3 + 3548*p/3 + 464 = 0.
-12, -2, -1, 29
Let j**4/7 - 2001*j**3 - 42027*j**2/7 - 42029*j/7 - 14010/7 = 0. Calculate j.
-1, 14010
Factor g**4/8 + 8309*g**3/2 + 138095579*g**2/4 + 138070653*g/2 + 276124689/8.
(g + 1)**2*(g + 16617)**2/8
Let p**2/4 - 1172*p + 2343 = 0. What is p?
2, 4686
Factor x**2/5 + 48*x + 12636/5.
(x + 78)*(x + 162)/5
Determine o so that -4*o**2 - 280*o + 4704 = 0.
-84, 14
Factor 121*j**3/4 - 792*j**2 + 1620*j - 864.
(j - 24)*(11*j - 12)**2/4
Find d, given that -d**2 - 715*d - 7744 = 0.
-704, -11
Solve -r**2 + 10692*r - 28579716 = 0.
5346
Determine l so that l**4 - 23*l**3 - 327*l**2 + 2519*l - 2170 = 0.
-14, 1, 5, 31
Determine k so that -k**5/2 + 93*k**4/2 - 589*k**3 + 2925*k**2 - 12933*k/2 + 10665/2 = 0.
3, 5, 79
Determine m so that 2*m**5 + 468*m**4 - 952*m**3 - 1872*m**2 + 3776*m = 0.
-236, -2, 0, 2
Suppose 4*z**5 + 20*z**4 - 2120*z**3 - 10600*z**2 + 2116*z + 10580 = 0. Calculate z.
-23, -5, -1, 1, 23
What is s in 2*s**2 - 114675*s/2 - 28669/2 = 0?
-1/4, 28669
Solve s**4/3 - 2003*s**3 + 60014*s**2/3 - 47992*s = 0.
0, 4, 6, 5999
Let -g**2/2 - 73*g + 7276 = 0. Calculate g.
-214, 68
What is j in -j**3/5 + 74*j**2/5 + 7652*j/5 - 9672 = 0?
-62, 6, 130
Factor 5*j**2 + 2380*j - 29280.
5*(j - 12)*(j + 488)
Determine i, given that 15*i**3 - 233859*i**2 + 2243604*i + 934860 = 0.
-2/5, 10, 15581
Factor 6*d**4/5 - 18*d**3/5 - 24*d**2 + 504*d/5 - 96.
6*(d - 4)*(d - 2)**2*(d + 5)/5
Solve 3*q**4 + 135*q**3 + 771*q**2 - 17415*q + 30618 = 0 for q.
-27, 2, 7
Solve 4*n**5/3 - 44*n**4/3 + 32*n**3 = 0 for n.
0, 3, 8
Factor -h**5/3 + 101*h**4/3 + 205*h**3/3 + 103*h**2/3.
-h**2*(h - 103)*(h + 1)**2/3
Suppose -3*n**3/5 - 246*n**2/5 - 4743*n/5 = 0. What is n?
-51, -31, 0
Factor 2*s**3/13 - 762*s**2/13 - 296*s - 4632/13.
2*(s - 386)*(s + 2)*(s + 3)/13
Factor f**2/6 + 8251*f/6 - 8257.
(f - 6)*(f + 8257)/6
Determine i, given that -2*i**3 + 210*i**2 + 8354*i + 56718 = 0.
-23, -9, 137
Suppose -100*g**4/7 - 102096*g**3/7 - 26999816*g**2/7 - 475821744*g/7 + 19076076/7 = 0. What is g?
-501, -19, 1/25
Let 9747*w**4 - 112974*w**3 + 339552*w**2 - 69984*w = 0. Calculate w.
0, 2/9, 108/19
Suppose o**5/3 - 15*o**4 - 4141*o**3/3 - 1365*o**2 = 0. What is o?
-45, -1, 0, 91
Let 4*i**3 + 88*i**2 - 4804*i - 4888 = 0. Calculate i.
-47, -1, 26
Factor -4*r**2 + 540*r + 72376.
-4*(r - 218)*(r + 83)
Suppose 2*f**3/13 - 2268*f**2/13 + 517440*f/13 - 33476800/13 = 0. What is f?
140, 854
Find s such that -4*s**4 - 440*s**3 + 18876*s**2 = 0.
-143, 0, 33
Factor 3*f**3/2 - 84*f**2 - 903*f/2 - 366.
3*(f - 61)*(f + 1)*(f + 4)/2
Factor 5*i**2 - 907125*i.
5*i*(i - 181425)
Let 3*q**3/4 + 6507*q**2/2 - 195807*q/4 + 169767/2 = 0. Calculate q.
-4353, 2, 13
Factor -845*u**2 + 5536180*u - 9067836980.
-5*(13*u - 42586)**2
Factor i**3/4 - 23*i**2/4 - 1905*i/4 - 1881/4.
(i - 57)*(i + 1)*(i + 33)/4
Factor 28139*q**3 - 2*q**2.
q**2*(28139*q - 2)
Factor 2*k**3/5 - 852*k**2 + 449400*k + 4579600.
2*(k - 1070)**2*(k + 10)/5
Find w such that -w**5/3 + 608*w**4/3 + 16291*w**3/3 + 122050*w**2/3 + 65888*w + 30432 = 0.
-12, -1, 634
Find f, given that -155*f**4 + 58755*f**3 - 1422195*f**2 - 1385795*f + 95310 = 0.
-1, 2/31, 27, 353
Solve t**5/3 - 47*t**4/3 - 1498*t**3/3 - 1402*t**2/3 + 499*t + 483 = 0.
-21, -1, 1, 69
Factor -w**2/5 - 33314*w/5 - 199848/5.
-(w + 6)*(w + 33308)/5
Determine l so that -306*l**2/13 - 22630*l/13 - 3984/13 = 0.
-664/9, -3/17
Factor -315*t**2 + 16370*t + 520.
-5*(t - 52)*(63*t + 2)
What is w in -5*w**2 - 1411440*w - 1411435 = 0?
-282287, -1
Solve -4*t**4 + 7744*t**3 + 109068*t**2 + 257400*t = 0 for t.
-11, -3, 0, 1950
Determine f, given that 1012*f**3 + 618*f**2 + 1224*f/11 + 54/11 = 0.
-3/11, -3/46
Factor -4*r**3/5 - 144*r**2/5 - 1316*r/5 - 1176/5.
-4*(r + 1)*(r + 14)*(r + 21)/5
Factor -2*h**4 - 13008*h**3 + 13010*h**2.
-2*h**2*(h - 1)*(h + 6505)
Find j, given that -2*j**2/3 - 26162*j/3 - 104552 = 0.
-13069, -12
Let h**4/10 - 744*h**3/5 + 1184*h**2 = 0. Calculate h.
0, 8, 1480
Suppose 15*k**3 - 13569*k**2 + 8130*k + 5424 = 0. Calculate k.
-2/5, 1, 904
Find m such that 3*m**4 + 36951*m**3/5 - 281742*m**2/5 - 118608*m/5 = 0.
-2471, -2/5, 0, 8
Factor k**2/5 - 37838*k/5 - 15136.
(