188*g + 2096392.
-4*(g - 2)*(g + 262049)
Factor -5*p**2 - 17070*p - 17065.
-5*(p + 1)*(p + 3413)
Factor -3*p**3 - 7941*p**2 + 3*p + 7941.
-3*(p - 1)*(p + 1)*(p + 2647)
Solve 11*y**4/2 + 113*y**3/2 - 107*y**2/2 - 209*y/2 = 0 for y.
-11, -1, 0, 19/11
Determine i, given that 2*i**3/3 + 148*i**2 + 9030*i + 88200 = 0.
-105, -12
Let -5*u**2 + 1268205*u + 2536430 = 0. Calculate u.
-2, 253643
Factor 2*y**2 - 336*y - 10530.
2*(y - 195)*(y + 27)
Factor -3*y**2 - 297321*y + 594654.
-3*(y - 2)*(y + 99109)
Let -3*k**2 - 606*k - 1791 = 0. What is k?
-199, -3
Suppose r**3/6 - 507*r**2 + 34187*r/2 - 434656/3 = 0. What is r?
17, 3008
Suppose k**4/5 + 42*k**3 + 12504*k**2/5 + 49664*k + 161280 = 0. Calculate k.
-126, -40, -4
What is q in -2*q**3/3 + 26408*q**2/3 - 105608*q/3 + 35200 = 0?
2, 13200
Factor -3*r**3 + 120*r**2 - 1008*r.
-3*r*(r - 28)*(r - 12)
Factor 2*b**2/5 - 457796*b + 130985736010.
2*(b - 572245)**2/5
Let 2*p**5/3 - 40*p**4/3 - 48*p**3 + 124*p**2/3 + 334*p/3 - 92 = 0. What is p?
-3, -2, 1, 23
Factor -3*q**3/2 + 276291*q**2/2 + 552600*q + 552606.
-3*(q - 92101)*(q + 2)**2/2
Find v such that -7*v**4 + 306*v**3 + 1411*v**2 + 1386*v + 288 = 0.
-3, -1, -2/7, 48
Factor b**2 - 21*b - 490.
(b - 35)*(b + 14)
Factor -4*l**3 - 156*l**2 + 2808*l - 8480.
-4*(l - 10)*(l - 4)*(l + 53)
Find h, given that -11*h**3 + 8311*h**2 - 1567944*h - 714420 = 0.
-5/11, 378
Factor 3*k**4 + 93*k**3 + 465*k**2 + 375*k.
3*k*(k + 1)*(k + 5)*(k + 25)
Determine u so that -85683*u**4 - 3765996*u**3 - 41292156*u**2 + 1960992*u - 23232 = 0.
-22, 4/169
Factor b**4 - 19*b**3 - 1015*b**2 + 2083*b - 1050.
(b - 42)*(b - 1)**2*(b + 25)
Determine q so that -q**3/2 + 7079*q**2/2 + 42528*q + 127638 = 0.
-6, 7091
Find s, given that 2*s**5 - 35014*s**4 + 419984*s**3 - 1819672*s**2 + 3359168*s - 2239360 = 0.
2, 4, 17495
Factor -2*t**3/7 + 10218*t**2/7 - 13035600*t/7 - 39198816/7.
-2*(t - 2556)**2*(t + 3)/7
Factor 4*z**2 + 478776*z + 14326653636.
4*(z + 59847)**2
Factor 4*z**4 + 48*z**3 - 1132*z**2 + 4200*z.
4*z*(z - 7)*(z - 6)*(z + 25)
Find d such that -4*d**3 + 107504*d**2 - 722426868*d + 1444423752 = 0.
2, 13437
Factor -i**3 + 422207*i**2 + 422208*i.
-i*(i - 422208)*(i + 1)
Factor 5*s**2 + 560*s - 43725.
5*(s - 53)*(s + 165)
Suppose -3*x**4/8 - 3*x**3/8 + 249*x**2/4 - 465*x/2 + 225 = 0. What is x?
-15, 2, 10
Factor -j**2/7 - 3251*j/7 + 3258.
-(j - 7)*(j + 3258)/7
Let 5*d**4 - 540*d**3 - 5840*d**2 - 7440*d + 42480 = 0. What is d?
-6, 2, 118
Determine p so that p**3/9 + 305*p**2/3 + 304*p = 0.
-912, -3, 0
Factor 4*f**2 - 4452164*f.
4*f*(f - 1113041)
Find q, given that -8*q**4 + 1946*q**3 - 147366*q**2 + 3282768*q - 811512 = 0.
1/4, 39, 102
Suppose 1147205*r**4 + 16032130*r**3 + 55810865*r**2 - 1405740*r + 8820 = 0. Calculate r.
-7, 6/479
Let -35*o**4/3 + 225*o**3 + 1255*o**2 - 18035*o/3 + 1610 = 0. Calculate o.
-7, 2/7, 3, 23
Let -5*x**2 - 35285*x + 247240 = 0. Calculate x.
-7064, 7
Solve 4765*c**3 - 219130*c**2 + 2517925*c + 31740 = 0 for c.
-12/953, 23
Suppose -10518*r**2/11 + 21056*r/11 - 40/11 = 0. What is r?
10/5259, 2
Find a such that -4*a**2 + 11648*a + 58340 = 0.
-5, 2917
Determine m so that -1452*m**4 - 22044*m**3 - 74163*m**2 + 72144*m - 15552 = 0.
-8, 9/22
Let -y**4/2 - 17345*y**3 - 300883713*y**2/2 - 300831680*y - 150407168 = 0. Calculate y.
-17344, -1
Determine a, given that 4*a**3/9 + 326*a**2 - 19270*a/9 - 7400/3 = 0.
-740, -1, 15/2
Suppose -3*q**4 - 84*q**3 + 420*q**2 + 1152*q = 0. What is q?
-32, -2, 0, 6
Let -c**3/4 - 193*c**2/4 - 2091*c/4 + 801837/4 = 0. What is c?
-123, 53
Factor 2*v**3 + 174*v**2 + 670*v + 498.
2*(v + 1)*(v + 3)*(v + 83)
Factor -2*t**4/13 + 1532*t**3/13 - 25626*t**2 + 15228080*t/13 - 197607200/13.
-2*(t - 355)**2*(t - 28)**2/13
Determine c, given that 2*c**4/3 + 5384*c**3/3 + 3535814*c**2/3 - 39517976*c + 38337576 = 0.
-1362, 1, 31
Solve -4*d**3/3 - 7*d**2/3 + 35*d/3 + 22 = 0 for d.
-11/4, -2, 3
Factor 2*c**2/11 + 218*c/11 - 2124/11.
2*(c - 9)*(c + 118)/11
Find b such that -3*b**2 + 6537378*b - 3561442592907 = 0.
1089563
Solve -2*o**2 - 8098*o + 484744 = 0.
-4108, 59
Find i such that -i**3/2 - 1067*i**2/2 + 10820*i - 54350 = 0.
-1087, 10
Let -2*n**3 - 942*n**2 + 26892*n = 0. Calculate n.
-498, 0, 27
Determine k so that 3*k**2 + 3975*k + 27678 = 0.
-1318, -7
Determine y, given that -y**4 - 1150*y**3 - 335168*y**2 - 2598050*y + 2934369 = 0.
-571, -9, 1
Determine s so that -4*s**4 + 1760*s**3 + 23420*s**2 + 61800*s - 86976 = 0.
-8, -6, 1, 453
Factor 217083*q**3/8 - 123471*q**2/4 - 41760*q - 10092.
3*(q - 2)*(269*q + 116)**2/8
Suppose m**4/4 - 131*m**3/2 - 1341*m**2/4 + 801*m/2 = 0. What is m?
-6, 0, 1, 267
Factor 2*v**3/17 - 14058*v**2/17 + 1449414*v + 13111794.
2*(v - 3519)**2*(v + 9)/17
Factor -2*q**2 - 256*q.
-2*q*(q + 128)
What is d in 2*d**3 - 3142*d**2 + 58976*d = 0?
0, 19, 1552
Suppose -20*c**5 - 356*c**4 + 3912*c**3 + 70912*c**2 - 14336*c = 0. Calculate c.
-16, 0, 1/5, 14
Suppose -3*v**4 + 3186*v**3 + 54861*v**2 + 181116*v + 168324 = 0. What is v?
-13, -2, 1079
Solve -v**5 - 213*v**4 - 13217*v**3 - 260055*v**2 - 247050*v = 0.
-122, -45, -1, 0
Determine c so that -4*c**5 + 2497*c**4 + 11924*c**3 + 16975*c**2 + 5036*c - 2516 = 0.
-2, -1, 1/4, 629
Factor -h**4 + 554*h**3 + 2227*h**2 + 2788*h + 1116.
-(h - 558)*(h + 1)**2*(h + 2)
Factor -4*g**5/5 - 1612*g**4/5 - 163212*g**3/5 - 161604*g**2/5.
-4*g**2*(g + 1)*(g + 201)**2/5
Factor 49*b**2/4 - 7336*b + 1098304.
(7*b - 2096)**2/4
Suppose 3*g**5/5 - 102*g**4/5 - 606*g**3 + 312*g**2/5 + 8859*g/5 - 6042/5 = 0. What is g?
-19, -2, 1, 53
Factor -4*d**2 - 4588*d + 65016.
-4*(d - 14)*(d + 1161)
Solve -5*u**5 + 109585*u**4 - 600607955*u**3 + 1800837715*u**2 + 438280*u - 2401116980 = 0 for u.
-1, 2, 10957
Solve 2*g**3 - 274*g**2 + 10270*g - 59150 = 0 for g.
7, 65
Let 2*x**4/11 + 51804*x**3/11 - 103616*x**2/11 = 0. Calculate x.
-25904, 0, 2
Factor -5*u**2 + 7920*u - 164115.
-5*(u - 1563)*(u - 21)
Solve -2*v**4/17 + 7948*v**3/17 + 183576*v**2/17 + 1142900*v/17 + 967274/17 = 0 for v.
-11, -1, 3997
Factor -g**4/3 + 821*g**3 + 47158*g**2/3.
-g**2*(g - 2482)*(g + 19)/3
Factor q**2 + 34786*q + 302516449.
(q + 17393)**2
Factor -5476*z**3/9 - 15918140*z**2/9 + 1720928*z/9 - 5168.
-4*(z + 2907)*(37*z - 2)**2/9
Factor 14*s**3/5 + 1453*s**2/5 - 312*s/5.
s*(s + 104)*(14*s - 3)/5
Factor -2*n**2/3 + 148652*n/3 - 148646.
-2*(n - 74323)*(n - 3)/3
Factor 3*u**2/5 + 1923*u/5 + 252264/5.
3*(u + 184)*(u + 457)/5
Factor -2*o**3 - 3842*o**2 + 15410*o + 19250.
-2*(o - 5)*(o + 1)*(o + 1925)
Suppose r**2/2 + 221*r + 440 = 0. Calculate r.
-440, -2
Factor o**3 + 4*o**2 + 3*o.
o*(o + 1)*(o + 3)
What is w in w**5/4 - 10*w**4 - 3*w**3/2 + 2259*w**2 + 17253*w/4 - 6561 = 0?
-12, -3, 1, 27
Factor 22*d**2/7 - 63848*d/7 + 127608/7.
2*(d - 2)*(11*d - 31902)/7
Factor 64048009*n**2 - 32012*n + 4.
(8003*n - 2)**2
Find a, given that 2*a**2/3 + 120*a + 8512/3 = 0.
-152, -28
Let 88*i**4/5 - 6964*i**3/5 - 6092*i**2/5 + 192*i = 0. Calculate i.
-1, 0, 3/22, 80
Suppose 24*z**4/5 + 1132*z**3/5 + 8612*z**2/5 - 121068*z/5 - 20412/5 = 0. Calculate z.
-27, -1/6, 7
Solve 164*c**3 + 830656*c**2 - 851084*c + 20264 = 0 for c.
-5066, 1/41, 1
Factor 2*x**2/5 - 35668*x/5 + 159025778/5.
2*(x - 8917)**2/5
Suppose 75*f**4/2 + 317935*f**3/2 + 337122315*f**2/2 + 381706065*f/2 + 22450805 = 0. Calculate f.
-2119, -1, -2/15
Factor 2*u**2/3 + 5812*u - 122346.
2*(u - 21)*(u + 8739)/3
Determine x so that -1666737*x**4 - 141731127*x**3 - 4971654*x**2 - 174428*x/3 - 680/3 = 0.
-85, -2/171
Factor -76247*r**2/4 + 76251*r/4 - 1.
-(r - 1)*(76247*r - 4)/4
Determine y so that 4*y**4 + 488*y**3 + 19380*y**2 + 242512*y - 262384 = 0.
-46, -31, 1
Determine b, given that b**2/2 + 1464*b - 14665/2 = 0.
-2933, 5
Suppose 16*b**3/3 - 410576*b**2/3 - 410588*b/3 - 34216 = 0. What is b?
-1/2, 25662
Factor i**2/2 + 365573*i + 133643618329/2.
(i + 365573)**2/2
Factor -n**2/2 + 4068*n.
-n*(n - 8136)/2
Find y, given that 3*y**4/2 - 44640*y**3 + 332701413*y**2 - 8627617440*y + 112061038323/2 = 0.
13, 14867
Factor 2*g**3/5 - 10742*g**2/5 + 10732*g.
2*g*(g - 5366)*(g - 5)/5
What is u in u**5/8 + 561*u**4/8 - 5703*u**3/8 + 4015*u**2/8 + 5139*u/4 = 0?
-571, -1, 0, 2, 9
Suppose 98*k**4 - 3080*k**3 - 5018*k**2 - 2104*k - 264 = 0. Calculate k.
-1, -2/7, 33
Factor -a**2 - 6543*a + 296460.
-(a - 45)*(a + 6588)
Determ