, 0
Determine a, given that a**5 + 23*a**4 - 1643*a**3 + 6293*a**2 - 7754*a + 3080 = 0.
-55, 1, 2, 28
Determine g so that 2*g**5/7 - 723*g**4/7 + 458*g**3 + 2508*g**2/7 - 3208*g/7 - 255 = 0.
-1, -1/2, 1, 5, 357
Factor -2*d**3 - 3398*d**2/9 + 7640*d/9.
-2*d*(d + 191)*(9*d - 20)/9
Factor 2*b**4/9 - 518*b**3/9 - 2144*b**2/3 - 2168*b.
2*b*(b - 271)*(b + 6)**2/9
Solve -3*v**2/4 + 4110003*v/2 - 5630708220003/4 = 0 for v.
1370001
Suppose 14*k**2 + 642*k - 656 = 0. What is k?
-328/7, 1
Find m, given that -4*m**2 - 1384*m - 90816 = 0.
-258, -88
Solve s**2/2 + 541*s - 5435/2 = 0 for s.
-1087, 5
Suppose 5*i**2/2 + 1417*i/3 - 63/2 = 0. What is i?
-189, 1/15
Suppose -2*p**2/5 - 31704*p/5 + 190296/5 = 0. Calculate p.
-15858, 6
Let 4*d**2 + 12932*d - 338936 = 0. What is d?
-3259, 26
Solve 2*g**4/7 + 662*g**3/7 - 480*g**2 = 0 for g.
-336, 0, 5
Factor -2*a**4 + 2*a**3 + 80*a**2 + 232*a + 192.
-2*(a - 8)*(a + 2)**2*(a + 3)
Factor v**2/5 - 2598*v/5 + 41312/5.
(v - 2582)*(v - 16)/5
Factor 4*r**2 + 322052*r.
4*r*(r + 80513)
Factor 5*x**2 - 136055*x + 272090.
5*(x - 27209)*(x - 2)
Find f such that -f**2 + 339*f - 1340 = 0.
4, 335
Factor -2*i**2/13 - 10618*i/13 - 84816/13.
-2*(i + 8)*(i + 5301)/13
Determine f so that f**5/4 - 1899*f**4/4 + 2369*f**3 - 2840*f**2 - 1896*f + 3788 = 0.
-1, 2, 1894
Let -2*j**3/3 + 144*j**2 - 16726*j/3 - 5720 = 0. Calculate j.
-1, 52, 165
Factor -2*o**3/5 + 4*o**2 + 288*o/5.
-2*o*(o - 18)*(o + 8)/5
Factor 3*u**2 + 241287*u - 482586.
3*(u - 2)*(u + 80431)
Factor 3*i**4 + 24*i**3 - 771*i**2 - 8136*i - 7344.
3*(i - 17)*(i + 1)*(i + 12)**2
Solve g**4/6 + 58*g**3/3 + 1187*g**2/6 + 1694*g/3 + 490 = 0 for g.
-105, -7, -2
Factor -m**2 - 7984*m + 47940.
-(m - 6)*(m + 7990)
Factor 5*h**2 - 36735*h.
5*h*(h - 7347)
Factor 3*p**3 + 9996*p**2 + 8306640*p - 33386688.
3*(p - 4)*(p + 1668)**2
Let 4*f**3 + 65248*f**2 + 65236*f - 130488 = 0. Calculate f.
-16311, -2, 1
Factor 3*u**2 + 16257*u - 32526.
3*(u - 2)*(u + 5421)
Factor -q**3 + 164*q**2 - 1385*q - 1550.
-(q - 155)*(q - 10)*(q + 1)
Factor i**2/9 + 19*i/9 - 260/3.
(i - 20)*(i + 39)/9
Determine i, given that 2*i**5/3 - 143*i**4/6 + 148*i**3 + 1826*i**2/3 - 4888*i/3 = 0.
-4, 0, 2, 47/4, 26
Determine o so that -2*o**4/5 + 74*o**3 + 9866*o**2/5 + 34574*o/5 + 5016 = 0.
-20, -3, -1, 209
Factor 4*s**3/7 + 6652*s**2/7 + 221544*s/7.
4*s*(s + 34)*(s + 1629)/7
Suppose 4*y**3/13 + 20082*y**2/13 - 393160*y/13 - 201600/13 = 0. What is y?
-5040, -1/2, 20
Factor -3*b**3 - 114*b**2 + 504*b.
-3*b*(b - 4)*(b + 42)
Let 2*j**3 - 564*j**2 + 17218*j + 17784 = 0. Calculate j.
-1, 36, 247
Factor -u**2/3 + 1243*u/3.
-u*(u - 1243)/3
Find c such that 4*c**5 + 116*c**4 - 4736*c**3 - 134896*c**2 + 148480*c + 278528 = 0.
-32, -1, 2, 34
Suppose -3*h**3/7 - 486*h**2/7 - 2349*h + 272484/7 = 0. What is h?
-87, 12
Factor -2738*n**2/13 - 1089280*n/13 - 108339200/13.
-2*(37*n + 7360)**2/13
Solve 2*w**4 + 98*w**3 + 1248*w**2 + 1152*w = 0 for w.
-24, -1, 0
Let -f**5/3 + 4*f**4 - 26*f**3/3 - 160*f**2/3 + 225*f - 500/3 = 0. What is f?
-4, 1, 5
Suppose -194*o**5/3 - 29360*o**4 - 10086130*o**3/3 - 20113100*o**2/3 - 3439720*o - 204304/3 = 0. What is o?
-226, -1, -2/97
Let 2*y**2 + 1776*y - 3560 = 0. What is y?
-890, 2
Factor 4*c**3 + 68*c**2 - 2000*c + 3696.
4*(c - 14)*(c - 2)*(c + 33)
Factor 45796*l**3 - 154936*l**2 + 54325*l - 5043.
(l - 3)*(214*l - 41)**2
Solve -m**3 - 15710*m**2 - 61701025*m = 0 for m.
-7855, 0
Factor -o**2/5 + 3094*o/5.
-o*(o - 3094)/5
Factor 5*f**3 + 3925*f**2 - 15765*f + 11835.
5*(f - 3)*(f - 1)*(f + 789)
Solve 3*k**4 - 3435*k**3 + 57528*k**2 = 0 for k.
0, 17, 1128
Factor -2*o**3 + 248*o**2 + 29766*o - 3691476.
-2*(o - 123)**2*(o + 122)
Factor f**3 - 1887*f**2 - 15144*f - 30320.
(f - 1895)*(f + 4)**2
Determine a so that -5*a**4 - 380*a**3 - 3150*a**2 - 9180*a - 9045 = 0.
-67, -3
Suppose s**4/5 - 200*s**3 - 1003*s**2/5 + 2002*s/5 = 0. What is s?
-2, 0, 1, 1001
Factor 4*s**4 - 688*s**3 - 12472*s**2 - 71120*s - 132300.
4*(s - 189)*(s + 5)**2*(s + 7)
Determine c so that 2*c**3 - 759160*c**2 + 72040488200*c = 0.
0, 189790
Factor -x**4/3 + 12992*x**3/3 - 42431224*x**2/3 + 504973056*x - 4532164272.
-(x - 6478)**2*(x - 18)**2/3
Solve -12*j**2 - 29044*j - 9680 = 0 for j.
-2420, -1/3
Determine h, given that -h**2/4 + 93*h/4 - 91/2 = 0.
2, 91
Factor -3*w**2/5 - 1605966*w/5 - 214927232763/5.
-3*(w + 267661)**2/5
Suppose 3*p**5/5 + 657*p**4/5 + 34101*p**3/5 + 600291*p**2/5 + 550152*p + 743580 = 0. Calculate p.
-153, -30, -3
Find k such that 2*k**3/7 + 28*k**2 + 4990*k/7 + 1316 = 0.
-49, -47, -2
Solve -18*j**4/11 + 1956*j**3 + 57522*j**2/11 - 1956*j - 57504/11 = 0.
-8/3, -1, 1, 1198
Factor -2*o**3/9 - 47162*o**2/3 - 278023920*o + 2502356768/9.
-2*(o - 1)*(o + 35372)**2/9
Factor k**4 - 1017*k**3 + 259080*k**2 - 258064*k.
k*(k - 508)**2*(k - 1)
Factor 4*x**3 - 25700*x**2 + 102752*x - 102736.
4*(x - 6421)*(x - 2)**2
Suppose -2*v**4/17 - 1990*v**3/17 + 11994*v**2/17 - 18010*v/17 + 8008/17 = 0. What is v?
-1001, 1, 4
Factor -j**2/2 - 4747*j/2 + 212740.
-(j - 88)*(j + 4835)/2
Let -50*l**5/7 - 14010*l**4/7 - 894568*l**3/7 - 169408*l**2/7 + 81216*l - 20384 = 0. What is l?
-182, -98, -1, 2/5
Factor 95*k**2/4 - 109*k/4 + 7/2.
(k - 1)*(95*k - 14)/4
Determine n so that -2*n**3 + 2422*n**2 + 118448*n - 246568 = 0.
-49, 2, 1258
Solve -7*d**3 + 416*d**2 - 6183*d + 2574 = 0 for d.
3/7, 26, 33
Factor 2*u**3 + 216*u**2 + 2182*u + 4656.
2*(u + 3)*(u + 8)*(u + 97)
Factor 4*p**2 + 293132*p - 293136.
4*(p - 1)*(p + 73284)
Solve -u**5 + 77*u**4 + 2227*u**3 - 4829*u**2 - 2226*u + 4752 = 0.
-24, -1, 1, 2, 99
Solve -4*n**2/5 + 1488*n/5 + 11396 = 0.
-35, 407
Find i such that -45*i**3 + 19695855*i**2 - 13130555*i + 2188425 = 0.
1/3, 437685
Find k, given that k**5/2 - 51*k**4/2 + 279*k**3/2 - 401*k**2/2 - 96*k + 270 = 0.
-1, 2, 3, 45
Let -2*d**4 + 120*d**3 - 1798*d**2 - 120*d + 1800 = 0. Calculate d.
-1, 1, 30
What is f in -2*f**3/17 + 6768*f**2/17 - 27048*f/17 + 27040/17 = 0?
2, 3380
Suppose -4*j**4/3 + 92416*j**3 - 4803598816*j**2/3 - 6405907456*j - 19218831424/3 = 0. What is j?
-2, 34658
Factor -2*f**2/17 + 2010*f/17 - 25792/17.
-2*(f - 992)*(f - 13)/17
Suppose u**3 - 4954*u**2 + 6135529*u = 0. What is u?
0, 2477
Factor -4*s**4 + 140*s**3 + 1324*s**2 + 2212*s + 1032.
-4*(s - 43)*(s + 1)**2*(s + 6)
Determine h so that -3*h**2/4 - 531*h/4 + 13407/2 = 0.
-218, 41
Factor r**3/3 + 510*r**2 - 20800*r + 628000/3.
(r - 20)**2*(r + 1570)/3
Factor 4*x**3/5 + 3796*x**2/5 - 23396*x + 97900.
4*(x - 25)*(x - 5)*(x + 979)/5
Factor 3*c**3 - 24918*c**2 - 99708*c - 99720.
3*(c - 8310)*(c + 2)**2
Factor 3*b**4 + 261*b**3 + 3213*b**2 + 10731*b.
3*b*(b + 7)**2*(b + 73)
Factor -230*h**3 - 682*h**2 - 436*h + 16.
-2*(h + 1)*(h + 2)*(115*h - 4)
What is a in 66*a**5/7 + 25*a**4 + 65*a**3/7 - 40*a**2/7 + 4*a/7 = 0?
-2, -1, 0, 1/6, 2/11
Solve 5*z**2 + 99480*z = 0 for z.
-19896, 0
Suppose -d**4 + 69*d**3 - 1287*d**2 + 3267*d = 0. What is d?
0, 3, 33
Determine v so that -44*v**5 + 10144*v**4/5 - 148944*v**3/5 + 900088*v**2/5 - 1982932*v/5 + 41160 = 0.
6/55, 7, 25
Factor k**3 + 203*k**2 + 1930*k.
k*(k + 10)*(k + 193)
Determine w, given that -w**3 + 25268*w**2 + 101084*w + 101088 = 0.
-2, 25272
Find o such that 4*o**3 + 70*o**2 + 272*o - 154 = 0.
-11, -7, 1/2
Factor 22445*c**4 - 1794260*c**3 + 35804820*c**2 + 2142400*c + 32000.
5*(c - 40)**2*(67*c + 2)**2
Let -2*r**2/7 + 918*r/7 + 29340/7 = 0. Calculate r.
-30, 489
Factor -679*x**3/5 - 201*x**2/5 - 2*x/5.
-x*(7*x + 2)*(97*x + 1)/5
Factor -2*u**3 - 20*u**2 + 78*u.
-2*u*(u - 3)*(u + 13)
Find c, given that -2*c**2 + 12160*c + 121800 = 0.
-10, 6090
Factor -2*z**3/17 - 20710*z**2/17.
-2*z**2*(z + 10355)/17
Determine s, given that -4*s**2 - 1928*s + 42252 = 0.
-503, 21
Find i, given that -i**4/4 + 147*i**3/4 - 1052*i**2 + 7983*i + 9072 = 0.
-1, 18, 112
Find i such that -2*i**5/13 - 60278*i**4/13 - 453848020*i**3/13 + 384424100*i**2 - 15906386250*i/13 + 11362781250/13 = 0.
-15075, 1, 5
Determine r so that 5*r**4/2 - 23*r**3/2 - 1560*r**2 - 2162*r - 616 = 0.
-22, -1, -2/5, 28
Find g, given that -33*g**4/8 - 1503*g**3/8 - 903*g**2/2 = 0.
-43, -28/11, 0
Solve -2*a**3/3 + 30908*a**2/3 + 30910*a/3 = 0 for a.
-1, 0, 15455
Determine j so that 2*j**4/7 + 41243*j**3/7 + 40498662*j**2 + 92782433660*j - 46401342232 = 0.
-6874, 1/2
Factor -4*g**2/7 - 2748*