so that -5*b**2 - 3820*b + 19225 = 0.
-769, 5
Determine r so that -12233*r**2/2 + 12245*r - 24 = 0.
24/12233, 2
Solve 2*b**3/9 + 1370*b**2/9 - 4272*b = 0.
-712, 0, 27
Let -149*h**2/5 - 3009*h + 404/5 = 0. Calculate h.
-101, 4/149
Determine v, given that -v**4 - 30*v**3 + 96*v**2 + 2078*v + 1953 = 0.
-31, -7, -1, 9
Factor 3*g**2 + 375624*g + 375621.
3*(g + 1)*(g + 125207)
Determine j so that -20*j**2 + 608*j + 54132 = 0.
-39, 347/5
Suppose -q**2/3 - 2144*q/3 - 2143/3 = 0. What is q?
-2143, -1
Suppose -3*c**3/2 - 186*c**2 - 5766*c = 0. Calculate c.
-62, 0
Factor 44*r**2 - 2560*r + 9536.
4*(r - 4)*(11*r - 596)
Solve 4*h**4 + 752*h**3 + 20456*h**2 - 752*h - 20460 = 0 for h.
-155, -33, -1, 1
Find y, given that -2*y**4/3 - 131*y**3 - 1726*y**2/3 + 131*y + 576 = 0.
-192, -9/2, -1, 1
What is f in 12*f**3 - 14732*f**2 - 350188*f - 115092 = 0?
-23, -1/3, 1251
Factor 3*g**3/5 - 48*g**2 - 4608*g/5.
3*g*(g - 96)*(g + 16)/5
Factor -2*v**2 - 2376*v + 2378.
-2*(v - 1)*(v + 1189)
Solve -2*p**4/7 - 156*p**3/7 - 2384*p**2/7 - 8196*p/7 + 1534 = 0 for p.
-59, -13, -7, 1
Find c such that 5*c**4/4 - 8155*c**3 + 26552595*c**2/2 + 80008825*c - 373107875/4 = 0.
-7, 1, 3265
Find h, given that 38*h**5 - 1490*h**4 + 13710*h**3 - 53190*h**2 + 94500*h - 63504 = 0.
42/19, 3, 28
Solve -91*f**5 + 2508*f**4 + 1116*f**3 + 112*f**2 = 0.
-2/7, -2/13, 0, 28
What is b in -b**5/6 + 3176*b**4/3 - 50735*b**3/3 + 99304*b**2 - 506955*b/2 + 237600 = 0?
3, 5, 6336
Find f, given that -2*f**3/9 - 542264*f**2/9 - 4083970938*f + 8168182884 = 0.
-135567, 2
Find v, given that 5*v**2 + 780*v + 30295 = 0.
-83, -73
Determine w, given that 5*w**2 - 695320*w - 1390660 = 0.
-2, 139066
Factor 8*r**2/7 + 88318*r/7 - 22080/7.
2*(r + 11040)*(4*r - 1)/7
Suppose -28*j**4 - 352*j**3 + 9368*j**2 - 40992*j + 15876 = 0. Calculate j.
-27, 3/7, 7
Determine d so that -3*d**4 + 394*d**3/3 + 1357*d**2/3 + 94*d = 0.
-3, -2/9, 0, 47
Find l, given that -2*l**3/3 - 4766*l**2/3 - 2836960*l/3 + 2841728/3 = 0.
-1192, 1
Factor s**4/3 - 2*s**3 - 49*s**2/3 + 98*s.
s*(s - 7)*(s - 6)*(s + 7)/3
Find f, given that 2*f**5 - 1028*f**4/3 - 58756*f**3/3 - 50576*f**2 - 131330*f/3 - 37324/3 = 0.
-43, -1, -2/3, 217
Solve -3*f**2 + 117*f = 0.
0, 39
Suppose -k**3/4 - 209*k**2/2 - 415*k/4 + 417/2 = 0. Calculate k.
-417, -2, 1
Let b**2/7 - 2497*b - 104910/7 = 0. Calculate b.
-6, 17485
What is o in 39*o**4/4 - 969*o**3/4 - 837*o**2 - 669*o - 84 = 0?
-2, -1, -2/13, 28
Let -22*z**3/5 - 124*z**2/5 - 218*z/5 - 116/5 = 0. What is z?
-29/11, -2, -1
Factor 4*l**2/7 + 22772*l/7 + 6504.
4*(l + 2)*(l + 5691)/7
Solve u**3/2 + 3*u**2/2 - 12*u + 14 = 0 for u.
-7, 2
Determine h, given that -5*h**5 - 26645*h**4 + 10*h**3 + 53290*h**2 - 5*h - 26645 = 0.
-5329, -1, 1
Factor l**2/4 - 17419*l/4 - 17421/2.
(l - 17421)*(l + 2)/4
Solve 4*r**2/11 + 6698*r/11 + 3348/11 = 0 for r.
-1674, -1/2
Find m, given that -2*m**4/11 + 1398*m**3/11 - 2790*m**2/11 + 1394*m/11 = 0.
0, 1, 697
Solve -2*k**2/9 + 8*k/3 + 650/9 = 0 for k.
-13, 25
Suppose 5*w**2 + 196675*w + 786620 = 0. What is w?
-39331, -4
Determine l so that -l**5 + 3*l**4 + 11*l**3 - 3*l**2 - 10*l = 0.
-2, -1, 0, 1, 5
Factor 5*m**3 + 9095*m**2 - 5*m - 9095.
5*(m - 1)*(m + 1)*(m + 1819)
Determine y, given that 6*y**5/7 + 282*y**4/7 - 8532*y**3/7 + 75120*y**2/7 - 264192*y/7 + 46080 = 0.
-70, 3, 4, 8
Factor -p**2/3 + 9749*p - 29246/3.
-(p - 29246)*(p - 1)/3
Let -3*u**2 - 8486508*u - 6001734836172 = 0. Calculate u.
-1414418
Solve 3*l**5 - 279*l**4 - 4233*l**3 + 10359*l**2 + 14310*l = 0.
-15, -1, 0, 3, 106
Find o such that -4*o**5 + 5418*o**4 + 46264*o**3 + 106282*o**2 + 43656*o - 54520 = 0.
-5, -2, 1/2, 1363
Factor -4*b**3/3 - 2144*b**2 - 868284*b - 5132808.
-4*(b + 6)*(b + 801)**2/3
Factor 3*y**3 - 405807*y**2 - 811623*y - 405813.
3*(y - 135271)*(y + 1)**2
Factor 3*d**3/7 - 33*d**2 + 96*d - 444/7.
3*(d - 74)*(d - 2)*(d - 1)/7
Factor -63*i**3 + 2022*i**2 - 2145*i + 186.
-3*(i - 31)*(i - 1)*(21*i - 2)
Solve 16*w**3 - 1370*w**2 + 7164*w + 2880 = 0.
-3/8, 6, 80
Determine r, given that -5*r**2 - 7520*r + 666960 = 0.
-1588, 84
Factor 4*k**2 - 628*k - 8112.
4*(k - 169)*(k + 12)
Let -155*h**5/2 - 1087*h**4/2 + 5573*h**3 + 26422*h**2 + 27620*h + 352 = 0. Calculate h.
-11, -2, -2/155, 8
Factor h**3 + 64525*h**2 + 1040772112*h - 3122897088.
(h - 3)*(h + 32264)**2
Solve r**4 + 206*r**3 - 20124*r**2 + 558376*r - 4991584 = 0.
-284, 26
Let 2*p**5/7 - 3*p**4/7 - 93*p**3/7 + 209*p**2/7 + 171*p/7 - 18 = 0. What is p?
-7, -1, 1/2, 3, 6
Factor z**2/5 + 690058*z/5 + 119045010841/5.
(z + 345029)**2/5
Solve t**2 + 698156*t + 121855450084 = 0 for t.
-349078
Factor -2*y**4/7 - 496*y**3/7 + 31158*y**2/7 - 440316*y/7.
-2*y*(y - 27)**2*(y + 302)/7
Factor 2*t**4/3 - 448*t**3/3 + 37436*t**2/3 - 460992*t + 6353046.
2*(t - 63)**2*(t - 49)**2/3
Let z**3/3 - 4634*z**2/3 + 5363852*z/3 + 10746248/3 = 0. Calculate z.
-2, 2318
Find v, given that 2*v**3/7 + 100*v**2/7 + 98*v + 84 = 0.
-42, -7, -1
Find x such that -2*x**4/5 + 3928*x**3 + 39296*x**2/5 - 15712*x - 157152/5 = 0.
-2, 2, 9822
Solve 2*h**3 - 520*h**2 - 63000*h = 0.
-90, 0, 350
Factor 5*v**3 + 135435*v**2 + 917064240*v - 917199680.
5*(v - 1)*(v + 13544)**2
Factor -h**2 - 876*h - 169940.
-(h + 290)*(h + 586)
Find d such that -d**3/3 + 77*d**2 + 5820*d = 0.
-60, 0, 291
Factor -2*f**2 + 81036*f - 820854162.
-2*(f - 20259)**2
Suppose -4*q**2 + 1145104*q + 3435348 = 0. What is q?
-3, 286279
Let -y**2/8 - 367159*y - 269611462562 = 0. What is y?
-1468636
What is g in g**4 - 85806*g**3 + 429013*g**2 - 686412*g + 343204 = 0?
1, 2, 85801
Find x such that 2*x**2/7 + 2024*x/7 - 57798 = 0.
-1183, 171
Solve 1445*r**4 + 10965*r**3 - 6080*r**2 - 9840*r + 5760 = 0.
-8, -1, 12/17
Find u, given that u**2 + 1243948*u + 386851656676 = 0.
-621974
Factor -3*w**2/7 - 249*w/7 - 3366/7.
-3*(w + 17)*(w + 66)/7
Determine v so that -87705926307*v**4 + 438411190041*v**3 + 592154154*v**2 + 266572*v + 40 = 0.
-2/4443, 5
Solve -3*k**4/7 + 15*k**3 - 942*k**2/7 + 120*k = 0 for k.
0, 1, 14, 20
Factor 2*l**4 + 2758*l**3 + 8248*l**2 - 11008*l.
2*l*(l - 1)*(l + 4)*(l + 1376)
Let -b**5/3 - 406*b**4/9 + 7376*b**3/9 - 33920*b**2/9 + 19456*b/9 = 0. What is b?
-152, 0, 2/3, 8
Factor -4*n**2 - 5383*n - 4035.
-(n + 1345)*(4*n + 3)
Solve 2*s**3/3 + 2428*s**2/9 + 230182*s/9 - 311240/9 = 0.
-251, -155, 4/3
Solve -5*h**2 - 2984030*h - 445221752045 = 0 for h.
-298403
Factor 40*k**2 - 48475*k - 6060.
5*(k - 1212)*(8*k + 1)
Find b such that b**5 + 110*b**4 + 2558*b**3 - 25388*b**2 + 70977*b - 62658 = 0.
-59, 2, 3
Factor -162*s**3 - 59622*s**2 - 49102592*s/9 + 49640648/9.
-2*(s - 1)*(27*s + 4982)**2/9
Solve 3*p**5 - 1809*p**4 + 62310*p**3 - 610794*p**2 + 1041879*p - 491589 = 0.
1, 17, 567
Let 4*r**2/5 - 41024*r/5 + 105185536/5 = 0. What is r?
5128
Determine a, given that -a**3/4 + 93*a**2/4 - 451*a/2 = 0.
0, 11, 82
Factor -16*u**2 - 65116*u + 16280.
-4*(u + 4070)*(4*u - 1)
Determine i, given that 5*i**5 - 205*i**4 - 24255*i**3 + 73945*i**2 - 74330*i + 24840 = 0.
-54, 1, 92
Find a, given that 3*a**5 - 339*a**4 + 8118*a**3 + 233778*a**2 - 8184345*a - 8409663 = 0.
-27, -1, 47
Determine i, given that 4*i**4 - 1534196*i**3 + 147110602496*i**2 - 147109068304*i = 0.
0, 1, 191774
Factor -3*k**3/7 - 39*k**2 + 846*k/7.
-3*k*(k - 3)*(k + 94)/7
Let 12*f**5/5 - 76*f**4/5 - 2096*f**3/5 - 272*f**2 = 0. What is f?
-10, -2/3, 0, 17
Solve -4*b**2/3 - 200*b + 192192 = 0 for b.
-462, 312
Factor -286*a**2/9 - 314*a/3 - 28.
-2*(a + 3)*(143*a + 42)/9
Find x such that -2*x**3 + 32522*x**2 - 32520*x = 0.
0, 1, 16260
Factor -3*y**3 - 156226*y**2 - 2033828180*y + 1355954888.
-(y + 26038)**2*(3*y - 2)
Factor s**2/3 + 1418*s/9 + 3760/9.
(s + 470)*(3*s + 8)/9
Suppose -r**2 + 4769*r - 9534 = 0. Calculate r.
2, 4767
Find z, given that -3*z**5/8 + 117*z**4/4 + 291*z**3 + 927*z**2/4 - 2325*z/8 - 261 = 0.
-8, -1, 1, 87
Let 5*m**4 - 9879*m**3 + 17769*m**2 - 5921*m - 1974 = 0. What is m?
-1/5, 1, 1974
Let -445*v**2 - 26245*v + 590 = 0. Calculate v.
-59, 2/89
Find b such that 3*b**3 + 1296*b**2/7 - 46047*b/7 + 13050/7 = 0.
-87, 2/7, 25
Factor -18769*g**2/2 + 3562*g - 338.
-(137*g - 26)**2/2
Find u such that 405*u**3 + 158265*u**2 + 17654000*u + 606831680 = 0.
-229, -728/9
Solve 3*d**4/8 + 795*d**3/8 + 50877*d**2/8 + 50085*d/8 = 0.
-159, -105, -1, 0
Factor x**2/2 - 14589*x + 29177/2.