000 = 0. Calculate t.
-7000, -7
Suppose -2286*r**2/5 + 77726*r/5 - 68/5 = 0. Calculate r.
1/1143, 34
Suppose 2*l**4/7 + 5666*l**3/7 - 5668*l**2/7 = 0. Calculate l.
-2834, 0, 1
Find k such that -2*k**5 + 66*k**4 - 290*k**3 - 4098*k**2 - 3740*k = 0.
-5, -1, 0, 17, 22
Factor -4*d**3 - 38*d**2 + 990*d + 504.
-2*(d - 12)*(d + 21)*(2*d + 1)
Factor -2*p**2 - 10806*p - 193860.
-2*(p + 18)*(p + 5385)
Determine w so that -5*w**4 + 2920*w**3 + 60*w**2 - 34960*w - 46720 = 0.
-2, 4, 584
Factor 5*c**4/3 + 1420*c**3/3 + 940*c**2.
5*c**2*(c + 2)*(c + 282)/3
Find b such that -2*b**5/7 - 7948*b**4/7 + 6*b**3/7 + 23848*b**2/7 + 15896*b/7 = 0.
-3974, -1, 0, 2
Let -3*l**4 - 177*l**3 + 3114*l**2 - 15660*l + 23976 = 0. Calculate l.
-74, 3, 6
Factor m**3/5 - 353*m**2 + 15804*m/5.
m*(m - 1756)*(m - 9)/5
Suppose 2*m**2/5 - 2938*m/5 + 2936/5 = 0. Calculate m.
1, 1468
Factor -4*j**5 - 1479380*j**4 - 182379938904*j**3 - 7494599621708784*j**2 + 7494782003127072*j.
-4*j*(j - 1)*(j + 123282)**3
Suppose -3*y**4 + 135*y**3 - 1704*y**2 + 5292*y - 4800 = 0. What is y?
2, 16, 25
Let 585*v**4/4 - 7021*v**3/2 - 29787*v**2/4 - 3777*v + 13 = 0. What is v?
-1, 2/585, 26
Find h, given that 7*h**5/2 + 2753*h**4/2 + 3523*h**3/2 - 1969*h**2/2 - 1765*h - 392 = 0.
-392, -1, -2/7, 1
Solve 12*b**4 + 75*b**3 + 114*b**2 + 24*b = 0 for b.
-4, -2, -1/4, 0
Suppose 3*a**4/7 + 1479*a**3/7 - 18120*a**2/7 + 30300*a/7 = 0. Calculate a.
-505, 0, 2, 10
Find l, given that 3*l**3 + 42252*l**2 + 149443020*l + 4739008896 = 0.
-7026, -32
Determine i, given that 14772*i**2 - 73832*i - 140 = 0.
-7/3693, 5
Find u, given that -722*u**4/5 + 55480*u**3 - 334902*u**2/5 + 61288*u/5 - 3064/5 = 0.
2/19, 1, 383
Find c, given that -8*c**5/5 + 84*c**4 + 7324*c**3/5 + 5964*c**2 + 13132*c/5 = 0.
-7, -1/2, 0, 67
Let -3*b**4/4 - 247*b**3/4 + 1225*b**2/4 + 599*b/4 - 435/2 = 0. Calculate b.
-87, -1, 2/3, 5
Determine a so that 4*a**4 - 1664*a**3 + 6608*a**2 - 6592*a = 0.
0, 2, 412
Let -2*x**3 - 1820*x**2 + 14656*x - 29376 = 0. Calculate x.
-918, 4
Let 2*v**2/3 + 33032*v/3 + 136389128/3 = 0. What is v?
-8258
Factor -f**3 - 105922*f**2 - 2804761596*f + 5609946888.
-(f - 2)*(f + 52962)**2
Find d such that 8*d**2/3 + 26194*d/3 + 6548/3 = 0.
-3274, -1/4
Find x such that -226*x**5/3 + 6332*x**4/3 + 566*x**3/3 - 19448*x**2/3 + 13000*x/3 - 224/3 = 0.
-2, 2/113, 1, 28
Solve -18*v**4/7 - 5070*v**3/7 + 22228*v**2/7 - 22856*v/7 + 6864/7 = 0.
-286, 2/3, 3
Solve -3*d**2/7 - 1119*d/7 - 55578/7 = 0 for d.
-314, -59
Determine i, given that -4*i**2 - 6852*i - 6848 = 0.
-1712, -1
Factor 135*d**2 - 792590*d + 29355.
5*(d - 5871)*(27*d - 1)
Factor -5*j**2 + 775*j + 3180.
-5*(j - 159)*(j + 4)
Find z, given that 2*z**5/11 - 596*z**4/11 + 3812*z**3 + 371456*z**2/11 + 242658*z/11 - 655452/11 = 0.
-7, -2, 1, 153
Solve g**2/2 - 17867*g + 35732 = 0 for g.
2, 35732
Factor 2*p**3/9 + 784*p**2/9 + 99626*p/9 + 1378196/3.
2*(p + 109)**2*(p + 174)/9
Solve 2*l**3/9 + 1820*l**2/9 - 2*l/9 - 1820/9 = 0 for l.
-910, -1, 1
Factor 5*z**3/6 - 295*z**2 + 2325*z/2 + 4375/3.
5*(z - 350)*(z - 5)*(z + 1)/6
Factor -3*o**4 + 1671*o**3 - 4992*o**2 + 3324*o.
-3*o*(o - 554)*(o - 2)*(o - 1)
Factor 2*g**3/9 + 1196*g**2/9 + 2386*g/9 + 1192/9.
2*(g + 1)**2*(g + 596)/9
Factor u**4/3 - 577*u**3/3 + 82360*u**2/3 + 84100*u.
u*(u - 290)**2*(u + 3)/3
What is j in 2*j**5/5 - 144*j**4/5 + 3456*j**3/5 - 28612*j**2/5 + 18942*j/5 + 51156/5 = 0?
-1, 2, 21, 29
Find c, given that -356*c**2 + 1808*c - 140 = 0.
7/89, 5
Factor m**2/5 - 756*m/5 - 757/5.
(m - 757)*(m + 1)/5
Determine o so that 3*o**3 + 18483*o**2 + 28477680*o + 28459200 = 0.
-3080, -1
Solve 2*c**3 + 1538*c**2 + 299488*c + 1459240 = 0.
-382, -5
Suppose -m**3/4 - 2141*m**2/4 - 1604*m - 1069 = 0. What is m?
-2138, -2, -1
Find t, given that -t**5/6 + 23*t**4/2 - 265*t**3/6 + 109*t**2/2 - 65*t/3 = 0.
0, 1, 2, 65
Suppose 490*v**4/13 + 3438*v**3/13 + 7406*v**2/13 + 4530*v/13 + 72/13 = 0. Calculate v.
-3, -1, -4/245
Factor -2*w**3/3 - 86*w**2/3 - 766*w/3 - 682/3.
-2*(w + 1)*(w + 11)*(w + 31)/3
Suppose -2*n**5/3 - 158*n**4/3 + 1498*n**3/3 + 3034*n**2 - 3480*n = 0. What is n?
-87, -5, 0, 1, 12
Let 2*d**4/13 - 110*d**3/13 + 508*d**2/13 - 400*d/13 = 0. What is d?
0, 1, 4, 50
Factor -n**3/5 - 482*n**2/5 - 3783*n/5 + 4266/5.
-(n - 1)*(n + 9)*(n + 474)/5
Solve -32*k**4 + 26879*k**3/4 + 13609*k**2/2 + 211*k/4 = 0.
-1, -1/128, 0, 211
Let y**5/4 + 21*y**4/2 + 171*y**3 + 1350*y**2 + 5184*y + 7776 = 0. What is y?
-12, -6
Solve 6775609*l**2/6 - 281124*l + 17496 = 0.
324/2603
Find w, given that 27*w**5 - 17991*w**4 + 3946629*w**3 - 283301013*w**2 - 190185552*w - 31770900 = 0.
-1/3, 175, 246
Suppose -3*u**4/4 - 48*u**3 + 1947*u**2/4 - 438*u = 0. What is u?
-73, 0, 1, 8
Find x, given that 5*x**4/2 + 1395*x**3/2 - 175785*x**2/2 - 177175*x/2 = 0.
-373, -1, 0, 95
Factor -6*l**2 - 82832*l + 82838.
-2*(l - 1)*(3*l + 41419)
Suppose -1510322*d**3 - 6048240*d**2 - 27816*d - 32 = 0. What is d?
-4, -2/869
Factor -2*m**3 - 44*m**2 + 96*m.
-2*m*(m - 2)*(m + 24)
Suppose -6*v**3/7 + 636*v**2/7 - 15216*v/7 - 71424/7 = 0. What is v?
-4, 48, 62
Factor 2*q**3/23 + 448*q**2/23 + 33184*q/23 + 813824/23.
2*(q + 68)**2*(q + 88)/23
Find a, given that -4*a**2/7 + 7348*a/7 - 80344/7 = 0.
11, 1826
Find i, given that -i**2 + 1735*i - 6924 = 0.
4, 1731
Factor -n**2/3 - 17119*n/3.
-n*(n + 17119)/3
Factor 9*r**3/2 + 4463*r**2/2 + 276520*r - 30752.
(r + 248)**2*(9*r - 1)/2
Suppose -6*k**4 - 1102*k**3/3 - 21394*k**2/3 - 128450*k/3 - 27500/3 = 0. Calculate k.
-25, -11, -2/9
Suppose 2*b**3/5 - 698*b**2/5 + 40528*b/5 - 649672/5 = 0. What is b?
34, 281
Factor -d**2 - 2486*d + 171051.
-(d - 67)*(d + 2553)
Factor -2*g**3 - 366*g**2 - 16560*g - 221400.
-2*(g + 30)**2*(g + 123)
Factor g**2 + 207*g - 4294.
(g - 19)*(g + 226)
Suppose 2035*u**2 + 195370*u + 960 = 0. Calculate u.
-96, -2/407
Suppose 3*h**4/5 + 5124*h**3/5 - 42978*h**2 + 414396*h/5 - 204633/5 = 0. What is h?
-1749, 1, 39
Factor o**5 + 1384*o**4 - 2771*o**3 + 1386*o**2.
o**2*(o - 1)**2*(o + 1386)
Solve -3*l**5 - 285*l**4 + 77907*l**3 - 2992287*l**2 - 3070476*l = 0 for l.
-228, -1, 0, 67
Let -4*i**4 + 1892*i**3 - 72884*i**2 + 205468*i - 134472 = 0. Calculate i.
1, 2, 39, 431
Determine c, given that -3*c**3 - 387*c**2 + 2430*c = 0.
-135, 0, 6
Factor n**4 + 670*n**3 + 669*n**2.
n**2*(n + 1)*(n + 669)
Factor -2*n**3/5 + 176*n**2/5 - 984*n/5.
-2*n*(n - 82)*(n - 6)/5
Solve 2*w**2 + 10714*w - 21436 = 0 for w.
-5359, 2
Determine k so that 2*k**2/19 - 1370*k/19 + 14828/19 = 0.
11, 674
Find j, given that 10*j**5 + 344*j**4 - 974*j**3 - 39284*j**2 - 52936*j - 14960 = 0.
-34, -10, -1, -2/5, 11
Let -27*h**5/7 - 573*h**4/7 + 387*h**3 + 4005*h**2/7 + 750*h/7 = 0. What is h?
-25, -1, -2/9, 0, 5
Solve -4*w**4/5 + 686*w**3 - 979836*w**2/5 + 93083848*w/5 + 46787312/5 = 0.
-1/2, 286
Find f such that 26*f**2/5 + 2128*f + 2454/5 = 0.
-409, -3/13
Suppose 2*a**5/9 + 5668*a**4/9 + 11330*a**3/9 + 1888*a**2/3 = 0. What is a?
-2832, -1, 0
Suppose -4*j**5 - 184*j**4 - 1920*j**3 - 7000*j**2 - 8956*j - 3696 = 0. Calculate j.
-33, -7, -4, -1
Solve 3*h**3 - 1302*h**2 - 3933*h = 0.
-3, 0, 437
Suppose o**5 - 1518*o**4 - 1520*o**3 + 1518*o**2 + 1519*o = 0. What is o?
-1, 0, 1, 1519
Factor 3*n**3 + 61446*n**2 - 61449*n.
3*n*(n - 1)*(n + 20483)
Factor 2*n**2/13 - 2*n - 136/13.
2*(n - 17)*(n + 4)/13
Let -2*f**4 - 688*f**3 - 7990*f**2 - 7304*f = 0. What is f?
-332, -11, -1, 0
Suppose 3*v**2/2 - 98079*v/2 + 49038 = 0. Calculate v.
1, 32692
Solve 6*z**2/7 + 2294*z/7 - 13192/7 = 0.
-388, 17/3
Factor -2*l**3/5 + 1248*l**2/5 + 17864*l/5.
-2*l*(l - 638)*(l + 14)/5
Factor 798067038962*w**2/3 - 5053528*w/3 + 8/3.
2*(631691*w - 2)**2/3
Solve -2*r**4/9 - 1064*r**3 + 2130*r**2 + 47888*r/9 - 19160/3 = 0.
-4790, -2, 1, 3
Factor m**4/4 - 10535*m**3/4 - 31611*m**2/4 - 31613*m/4 - 5269/2.
(m - 10538)*(m + 1)**3/4
Let 4*v**4/7 - 40*v**3/7 - 692*v**2/7 + 3960*v/7 - 4896/7 = 0. What is v?
-12, 2, 3, 17
Suppose -25*d**3 - 42990*d**2 - 111575*d + 51510 = 0. Calculate d.
-1717, -3, 2/5
Suppose 32*u**2 + 208400*u + 339301250 = 0. What is u?
-13025/4
Suppose -a**2 - 16127*a + 16128 = 0. Calculate a.
-16128, 1
Factor y**3/6 + 965*y**2/3 - 7117*y/2.
y*(y - 11)*(y + 1941)/6
Solve 2*z**5 + 50486*z**4 + 318680244*z**3 + 955687360*z**2 + 637057600*z = 0 for z.
-12620, -2, -1, 0
Determine j, given that