+ 208*r**4/23 + 786*r**3/23 - 1468*r**2/23 - 6848*r/23 - 4800/23 = 0. What is r?
-100, -4, -2, -1, 3
Let -q**4/6 + 14*q**3/3 - 131*q**2/6 - 446*q/3 - 170 = 0. What is q?
-2, 15, 17
Determine b, given that -2*b**2/3 - 458*b = 0.
-687, 0
Factor -5*s**4 + 335*s**3 - 4140*s**2 + 12160*s + 16640.
-5*(s - 52)*(s - 8)**2*(s + 1)
Find k such that -2*k**3 - 190*k**2 + 3266*k + 473854 = 0.
-71, 47
Let 7190*d**4 + 154555*d**3 - 245105*d**2 + 83705*d - 345 = 0. Calculate d.
-23, 3/719, 1/2, 1
Factor k**4 + 198*k**3 - 18012*k**2 + 465658*k - 3870693.
(k - 27)*(k - 23)**2*(k + 271)
Find p, given that -3*p**5 + 295*p**4 + 2059*p**3 + 4285*p**2 + 2112*p - 1260 = 0.
-3, -2, 1/3, 105
Let -2*a**5/7 + 236*a**4/7 + 3844*a**3/7 - 56432*a**2/7 - 123442*a/7 - 63404/7 = 0. Calculate a.
-22, -1, 11, 131
Find v, given that -2*v**4/3 - 122*v**3/3 + 312*v**2 + 109472*v/3 + 108416/3 = 0.
-44, -1, 28
What is b in -b**4 + 236136*b**3 - 13940524888*b**2 + 55759265952*b - 55758321424 = 0?
2, 118066
Factor 2*o**2/9 - 1030*o/9 + 21692/9.
2*(o - 493)*(o - 22)/9
Suppose -2373*l**3 - 25383*l**2 + 7908*l - 132 = 0. What is l?
-11, 2/113, 2/7
Solve -2*t**3/11 + 1026*t**2/11 - 7808*t + 84864/11 = 0.
1, 104, 408
Suppose -2*y**3 + 8924*y**2 - 9927896*y - 59889072 = 0. Calculate y.
-6, 2234
Factor -4*z**4 + 1336*z**3 + 4*z**2 - 1336*z.
-4*z*(z - 334)*(z - 1)*(z + 1)
Factor 9*p**5 - 52*p**4 - 1036*p**3.
p**3*(p - 14)*(9*p + 74)
Determine a so that a**3/5 - 1692*a**2/5 - 1693*a/5 = 0.
-1, 0, 1693
Factor x**2/5 - 3370*x + 16849/5.
(x - 16849)*(x - 1)/5
Factor k**2/9 - 80752*k/9 + 1630221376/9.
(k - 40376)**2/9
Solve 4*w**5/3 - 238*w**4/3 - 14572*w**3/3 + 53542*w**2/3 - 5232*w - 7680 = 0 for w.
-40, -1/2, 1, 3, 96
Determine c so that -c**4/4 + 21*c**3/4 - 33*c**2/2 - 56*c = 0.
-2, 0, 7, 16
Suppose 5*g**3 - 90*g**2 + 235*g + 1650 = 0. What is g?
-3, 10, 11
Factor -3*d**3 + 8118*d**2 - 32436*d + 32424.
-3*(d - 2702)*(d - 2)**2
Factor -o**4/6 + 2378*o**3 - 25454111*o**2/3 + 16962274*o - 50879689/6.
-(o - 7133)**2*(o - 1)**2/6
Factor -4*u**5/9 + 160*u**4/9 - 272*u**3/3.
-4*u**3*(u - 34)*(u - 6)/9
Solve -2*s**5/5 + 31182*s**4/5 - 121648736*s**3/5 + 850512408*s**2/5 - 1943262464*s/5 + 1457166336/5 = 0 for s.
2, 3, 7792
Solve -j**4/4 - 6813*j**3 - 123737679*j**2/2 - 187029133785*j + 6753114193527/4 = 0 for j.
-9087, 9
Factor 21*i**2/4 - 3387*i/2 + 10593/4.
3*(i - 321)*(7*i - 11)/4
Solve -3*f**2 + 136194*f = 0 for f.
0, 45398
Factor 3*o**3/8 + 963*o**2/4 + 24531*o/8.
3*o*(o + 13)*(o + 629)/8
Factor x**2/4 + 936559*x + 877142760481.
(x + 1873118)**2/4
Solve -5*n**5 + 1175*n**4 + 1200*n**3 - 4700*n**2 - 4720*n = 0 for n.
-2, -1, 0, 2, 236
Determine f, given that 2*f**4/5 + 294*f**3/5 + 1968*f**2/5 + 1096*f/5 - 672 = 0.
-140, -6, -2, 1
Factor -x**2/3 - 89*x/3 + 72192.
-(x - 423)*(x + 512)/3
Factor 5*d**2 - 1620*d + 31815.
5*(d - 303)*(d - 21)
Find g such that g**3/6 - 2317*g**2/6 - 9305*g/6 + 16247/2 = 0.
-7, 3, 2321
Factor -i**2/6 + 193*i/6 - 1292.
-(i - 136)*(i - 57)/6
Solve -3*t**3/4 - 213*t**2/4 + 8595*t/4 + 27621/4 = 0.
-99, -3, 31
Find j such that 3*j**3 - 21513*j**2 + 38166360*j + 1441758576 = 0.
-37, 3604
Factor -2*k**4 - 64*k**3 + 738*k**2.
-2*k**2*(k - 9)*(k + 41)
Factor 5*o**3 + 135*o**2 - 12680*o + 12540.
5*(o - 38)*(o - 1)*(o + 66)
Let -3*s**3 + 549*s**2 - 10989*s + 58443 = 0. What is s?
11, 161
Factor -5*f**2 - 269500*f + 539020.
-5*(f - 2)*(f + 53902)
Find r, given that 5*r**5/4 + 633*r**4/4 - 391*r**3 - 504*r**2 + 1544*r - 516 = 0.
-129, -2, 2/5, 2
Let 21*j**3 + 7785*j**2 + 43764*j - 13140 = 0. Calculate j.
-365, -6, 2/7
Factor -2*o**2/7 + 990*o/7 - 11536.
-2*(o - 392)*(o - 103)/7
Suppose -49*t**4 + 1120*t**3 - 1871*t**2 - 940*t + 2100 = 0. What is t?
-1, 10/7, 21
Solve -33*j**4/4 - 907*j**3/4 - 3809*j**2/4 - 1929*j/4 + 3339/2 = 0 for j.
-742/33, -3, 1
Determine o, given that 2*o**5 + 3240*o**4 - 3256*o**3 - 22668*o**2 + 42134*o - 19452 = 0.
-1621, -3, 1, 2
Find i, given that -4*i**4 - 36716*i**3 - 84638236*i**2 - 1761248244*i = 0.
-4579, -21, 0
Factor m**2/8 - 9*m/8 - 455/4.
(m - 35)*(m + 26)/8
Determine o, given that -171*o**4 + 6666*o**3 - 12708*o**2 + 6102*o + 111 = 0.
-1/57, 1, 37
Factor 14*p**3/3 - 76*p**2 - 3446*p/3 - 780.
2*(p - 26)*(p + 9)*(7*p + 5)/3
Factor 6*q**3/11 + 30266*q**2 + 4618599154*q/11 + 7696740490/11.
2*(q + 27743)**2*(3*q + 5)/11
Suppose 5*z**5 - 795*z**4 - 130*z**3 + 20670*z**2 + 125*z - 19875 = 0. Calculate z.
-5, -1, 1, 5, 159
Let 6*c**4 + 1810*c**3 - 78358*c**2 - 53642*c + 26520 = 0. What is c?
-340, -1, 1/3, 39
Find p such that 5*p**3/2 + 2805*p**2/2 - 110785*p - 227160 = 0.
-631, -2, 72
Factor 5*g**2 - 22695*g + 90700.
5*(g - 4535)*(g - 4)
Let -2*x**3/11 - 3792*x**2/11 - 7570*x/11 + 11364/11 = 0. Calculate x.
-1894, -3, 1
Suppose 2*k**2 - 30*k - 6272 = 0. What is k?
-49, 64
Solve 20*y**4 - 5495*y**3 + 390210*y**2 - 1747575*y + 1093500 = 0 for y.
3/4, 4, 135
Find n such that 2*n**3/15 + 174*n**2/5 + 9936*n/5 - 38088 = 0.
-138, 15
Find s, given that -4*s**3 - 23196*s**2 - 33639996*s - 33616804 = 0.
-2899, -1
Factor -3*q**3/5 - 31881*q**2/5 + 31884*q/5.
-3*q*(q - 1)*(q + 10628)/5
What is s in s**5 + 1306*s**4 + 1302*s**3 - 3920*s**2 - 6527*s - 2610 = 0?
-1305, -1, 2
What is n in 2*n**4/9 - 58*n**3 - 16822*n**2/9 + 58*n + 16820/9 = 0?
-29, -1, 1, 290
Factor -2*h**2/19 + 2222*h/19 - 4436/19.
-2*(h - 1109)*(h - 2)/19
Find d, given that -2*d**2/11 - 47918*d/11 = 0.
-23959, 0
Let 5*l**2/6 - 1265*l/3 + 26620/3 = 0. What is l?
22, 484
Factor 2*w**2/13 - 122*w.
2*w*(w - 793)/13
Suppose 24252*p**3 + 97016*p**2 + 97040*p + 32 = 0. What is p?
-2, -2/6063
Factor -2*p**2 - 61688*p - 475676168.
-2*(p + 15422)**2
Factor 2*w**4 - 117426*w**3 + 1056726*w**2 - 3170070*w + 3170016.
2*(w - 58704)*(w - 3)**3
Factor -4*s**4/5 - 284*s**3/5 - 4896*s**2/5 + 5184*s/5.
-4*s*(s - 1)*(s + 36)**2/5
What is h in -492355*h**2/4 - 984705*h/2 + 10 = 0?
-4, 2/98471
Factor -l**4 + 65*l**3 - 1086*l**2 + 896*l + 2048.
-(l - 32)**2*(l - 2)*(l + 1)
Factor -3*w**2/5 - 2286*w/5 + 2301.
-3*(w - 5)*(w + 767)/5
What is f in 52*f**5 + 734*f**4 + 656*f**3 - 7526*f**2 + 5364*f + 720 = 0?
-12, -5, -3/26, 1, 2
Let n**5/3 + 382*n**4/3 + 16169*n**3 + 2029574*n**2/3 - 2374144*n/3 - 4161536 = 0. Calculate n.
-128, -127, -2, 3
Suppose d**2/3 + 844*d/3 - 3392/3 = 0. Calculate d.
-848, 4
Factor 2*w**3 + 312*w**2 + 1216*w.
2*w*(w + 4)*(w + 152)
Factor -4*f**2/5 + 52*f - 256/5.
-4*(f - 64)*(f - 1)/5
Determine q so that 14*q**4/19 - 28860*q**3/19 - 74274*q**2/19 - 61912*q/19 - 16512/19 = 0.
-1, -4/7, 2064
Factor -3*y**2/8 - 11319*y/4 - 16965.
-3*(y + 6)*(y + 7540)/8
Determine n, given that -28*n**3 + 62012*n**2 + 141872*n + 35472 = 0.
-2, -2/7, 2217
Find x, given that -2*x**5/5 + 2946*x**4/5 - 1443528*x**3/5 + 233833824*x**2/5 + 714572928*x/5 = 0.
-3, 0, 492
Determine a so that 21*a**3 + 4845*a**2 - 51996*a + 14460 = 0.
-241, 2/7, 10
Factor 3*s**2 + 3321*s - 13332.
3*(s - 4)*(s + 1111)
Factor 3*y**2/2 + 1117209*y + 416051983227/2.
3*(y + 372403)**2/2
Factor 2*b**2/5 - 2534*b.
2*b*(b - 6335)/5
Factor 2*d**3/5 + 478*d**2/5 + 4524*d.
2*d*(d + 65)*(d + 174)/5
Factor 74*h**3 - 516*h**2 + 1098*h - 648.
2*(h - 3)**2*(37*h - 36)
Factor -1568*t**2/5 + 1512*t/5 - 729/10.
-(56*t - 27)**2/10
Factor 3*a**3 - 2694*a**2 + 487179*a - 24986988.
3*(a - 676)*(a - 111)**2
Factor -w**4/4 - 11*w**3/2 - 113*w**2/4 - 26*w + 60.
-(w - 1)*(w + 4)**2*(w + 15)/4
What is d in 2*d**3/9 + 224*d**2/9 - 806*d + 3892 = 0?
-139, 6, 21
Find u, given that -5*u**2/4 - 625*u/4 + 54250 = 0.
-280, 155
Factor -2384*g**2 - 4766*g + 4.
-2*(g + 2)*(1192*g - 1)
Factor z**2/2 + 39159*z/2 - 19580.
(z - 1)*(z + 39160)/2
Suppose -3*d**3/4 - 129*d**2/4 - 861*d/4 - 735/4 = 0. What is d?
-35, -7, -1
Let -5*n**5/6 + 809*n**4/3 - 87476*n**3/3 + 3206440*n**2/3 - 1613912*n - 818448 = 0. Calculate n.
-2/5, 2, 102, 118
Let -5*x**4/3 - 1915*x**3/3 + 1970*x**2/3 + 19240*x/3 + 5120 = 0. Calculate x.
-384, -2, -1, 4
Determine g so that -g**3 + 331*g**2 - 4686*g - 17064 = 0.
-3, 18, 316
Determine w, given that 2*w**4 + 456*w**3 - 19836*w**2 + 260280*w - 1081350 = 0.
-267, 9, 15
What is i in -3*i**5/4 + 1167*i**4/8 - 9549*i**3/8 + 11715*i**2/8 + 579*i/8 - 1953/4 = 0?
-1/2, 1, 7, 186
Determine f so that -4*f**5 - 80*f**4 - 456*f**3 - 432*f**2 + 972*f = 0.
-9, -3, 0, 1
Let -8*a**