54*k**2 + 362388*k - 244824 = 0.
-101, -2, 2/3, 2
Find b, given that -2*b**3 + 1184*b**2 + 5962*b + 4776 = 0.
-4, -1, 597
Factor -f**3/4 + 7779*f**2/4.
-f**2*(f - 7779)/4
Suppose -2*t**2 + 415392*t - 21568814208 = 0. Calculate t.
103848
What is i in 5*i**3 + 200*i**2 - 85500*i - 5670000 = 0?
-90, 140
Suppose 2*u**2/3 + 446*u + 3960 = 0. What is u?
-660, -9
Factor -958*g**3 + 216512*g**2 - 12233606*g + 51076.
-2*(g - 113)**2*(479*g - 2)
Suppose d**5/2 - 383*d**4 + 1145*d**3 - 380*d**2 - 2291*d/2 + 763 = 0. What is d?
-1, 1, 2, 763
Factor -2*f**2/13 + 768*f/13 - 1528/13.
-2*(f - 382)*(f - 2)/13
What is v in 9*v**4/4 + 75*v**3/2 - 1929*v**2/4 - 675*v/2 = 0?
-25, -2/3, 0, 9
Suppose -20*t**4 + 17288*t**3 - 3704592*t**2 - 13589408*t + 6027392 = 0. Calculate t.
-4, 2/5, 434
Factor 332*c**3 - 71388*c**2 - 438512*c + 10608.
4*(c - 221)*(c + 6)*(83*c - 2)
Solve -5*w**4 + 50*w**3 + 9735*w**2 - 49300*w - 4860980 = 0 for w.
-29, 34
Suppose 2*p**2/11 + 3511624*p/11 + 1541437889672/11 = 0. Calculate p.
-877906
Factor 8*h**3 - 9162*h**2 + 29698*h - 6852.
2*(h - 1142)*(h - 3)*(4*h - 1)
Find s, given that s**2/5 - 47374*s + 2805369845 = 0.
118435
Factor -m**4 + 2106*m**3 - 6312*m**2 + 6310*m - 2103.
-(m - 2103)*(m - 1)**3
Let -5*d**4/6 + 270*d**3 - 67985*d**2/3 + 127730*d - 210675/2 = 0. Calculate d.
1, 5, 159
Solve 5*h**3/6 + 53851*h**2/6 - 102368*h/3 - 53870 = 0 for h.
-10774, -6/5, 5
Factor -5*d**3 - 1269*d**2 - 36211*d + 7293.
-(d + 33)*(d + 221)*(5*d - 1)
Let 2*g**2 + 1170*g + 2332 = 0. What is g?
-583, -2
Determine i, given that 3*i**4 - 33*i**3 - 123*i**2 + 585*i = 0.
-5, 0, 3, 13
Factor 3*p**4 - 72*p**3 - 615*p**2 - 1116*p.
3*p*(p - 31)*(p + 3)*(p + 4)
Solve -141642*l**4/11 + 231030*l**3/11 - 85956*l**2/11 - 3480*l/11 + 48/11 = 0 for l.
-2/43, 2/183, 2/3, 1
Find s such that s**3/3 + 1105*s**2/6 + 128371*s/6 - 32231/3 = 0.
-386, -167, 1/2
What is g in 28*g**5 - 526*g**4/3 + 294*g**3 - 166*g**2 + 34*g/3 + 8 = 0?
-1/6, 3/7, 1, 4
Factor -4*k**3 - 91192*k**2 + 638540*k.
-4*k*(k - 7)*(k + 22805)
Suppose -5*k**5/7 + 37*k**4/7 + 319*k**3/7 + 81*k**2 + 234*k/7 = 0. Calculate k.
-3, -2, -3/5, 0, 13
Find o, given that -100*o**4 + 18880*o**3 + 41864*o**2 + 29760*o + 6876 = 0.
-1, -3/5, 191
Factor 2*z**3 - 936*z**2 + 930*z + 1868.
2*(z - 467)*(z - 2)*(z + 1)
Factor -3*w**2/4 + 69*w/2 - 306.
-3*(w - 34)*(w - 12)/4
Factor 3*r**2 + 4860*r + 9708.
3*(r + 2)*(r + 1618)
Suppose -14*c**2 - 59728*c + 102432 = 0. Calculate c.
-4268, 12/7
Let -4*r**2 - 6620*r - 19824 = 0. Calculate r.
-1652, -3
Suppose -2*b**3 + 496*b**2 - 978*b - 1476 = 0. Calculate b.
-1, 3, 246
Factor 2*q**2/5 + 16642*q/5 - 16644/5.
2*(q - 1)*(q + 8322)/5
Determine p, given that 7*p**5/3 - 233*p**4/3 + 2194*p**3/3 - 6992*p**2/3 + 6304*p/3 - 1280/3 = 0.
2/7, 1, 4, 8, 20
Factor -f**3/7 + 8415*f**2/7 + f/7 - 8415/7.
-(f - 8415)*(f - 1)*(f + 1)/7
Suppose a**2 + 381*a + 4070 = 0. What is a?
-370, -11
Factor -63780*y**2 - 1594505*y - 125.
-5*(y + 25)*(12756*y + 1)
Determine m, given that m**2/3 - 719*m/3 + 75184/3 = 0.
127, 592
Determine a, given that -3*a**3 + 4941*a**2 + 4944*a = 0.
-1, 0, 1648
Let q**2/4 + 3409*q/4 - 49851/2 = 0. What is q?
-3438, 29
Factor 4*c**2 + 39276*c - 432520.
4*(c - 11)*(c + 9830)
Find c such that c**5/10 - 223*c**4/10 - 233*c**3/10 + 2007*c**2/10 + 1008*c/5 = 0.
-3, -1, 0, 3, 224
Factor -2*m**3/7 - 16874*m**2/7 - 33742*m/7 - 2410.
-2*(m + 1)**2*(m + 8435)/7
Factor -k**3/12 - 17763*k**2/4 - 236634245*k/4 + 709956025/12.
-(k - 1)*(k + 26645)**2/12
Suppose -18592802*k**4 - 204545214*k**3 - 186196340*k**2 - 244008*k - 80 = 0. What is k?
-10, -1, -2/3049
Factor -b**2/10 + 1729*b/10 - 11613.
-(b - 1659)*(b - 70)/10
Solve l**3/3 + 56*l**2/3 - 1009*l + 990 = 0.
-90, 1, 33
Solve -5*p**5/3 + 20*p**4/3 + 100*p**3/3 - 80*p**2 = 0.
-4, 0, 2, 6
Factor -2*l**2 - 11262*l.
-2*l*(l + 5631)
Factor -4*c**2 - 9891*c + 2473.
-(c + 2473)*(4*c - 1)
Factor -12*l**2 + 71373*l + 17844.
-3*(l - 5948)*(4*l + 1)
Solve -9*q**2/2 - 8130*q - 5418 = 0.
-1806, -2/3
Factor t**3 - 2*t**2 - 13*t - 10.
(t - 5)*(t + 1)*(t + 2)
Determine g, given that -2*g**3 + 9384*g**2 - 28138*g + 18756 = 0.
1, 2, 4689
What is t in t**3 + 40692*t**2 + 81380*t = 0?
-40690, -2, 0
What is v in -2*v**3/13 - 340*v**2/13 - 17024*v/13 - 207936/13 = 0?
-76, -18
Find a such that -5*a**5/2 - 35*a**4 - 10*a**3 + 805*a**2 + 25*a/2 - 770 = 0.
-11, -7, -1, 1, 4
Let -f**4 + 142*f**3 + 176*f**2 - 4782*f + 9009 = 0. Calculate f.
-7, 3, 143
Factor 2*k**3/3 + 110*k**2 + 432*k - 396576.
2*(k - 51)*(k + 108)**2/3
Factor o**4/2 + 16303*o**3/2 + 44300685*o**2 + 80272835786*o + 80228543252.
(o + 1)*(o + 5434)**3/2
Factor -3*u**3 + 504*u**2 - 26703*u + 428490.
-3*(u - 69)**2*(u - 30)
What is r in 2*r**2 - 158150*r + 632568 = 0?
4, 79071
Let -3*c**3 - 4983*c**2 - 54480*c - 49500 = 0. What is c?
-1650, -10, -1
Factor 3*z**3/2 + 36*z**2 - 1587*z/2 - 2664.
3*(z - 16)*(z + 3)*(z + 37)/2
Solve -2*q**5 - 54*q**4 - 220*q**3 + 1804*q**2 + 4062*q + 2090 = 0 for q.
-19, -11, -1, 5
Find c such that -3*c**3 + 2673*c**2 - 591381*c - 1798281 = 0.
-3, 447
Factor -2*g**3 + 150*g**2 - 2574*g + 12826.
-2*(g - 53)*(g - 11)**2
Find o, given that -o**2 + 791330*o - 156550792225 = 0.
395665
Let -6*u**5 - 548*u**4/3 - 998*u**3 - 1704*u**2 - 576*u = 0. Calculate u.
-24, -3, -4/9, 0
What is s in s**4/6 - 656*s**3/3 + 2615*s**2/2 - 1959*s = 0?
0, 3, 1306
Find n such that -12*n**5 - 364*n**4 - 1644*n**3 - 1012*n**2 + 2232*n + 800 = 0.
-25, -4, -2, -1/3, 1
Solve 4*t**4/7 - 824*t**3/7 - 4*t**2/7 + 824*t/7 = 0 for t.
-1, 0, 1, 206
Solve 2*g**5 + 3020*g**4 + 1146072*g**3 + 4545108*g**2 + 3402054*g = 0 for g.
-753, -3, -1, 0
Factor -6*u**2 + 112*u/5 + 32/5.
-2*(u - 4)*(15*u + 4)/5
Factor 7*c**2/2 - 1376*c + 393/2.
(c - 393)*(7*c - 1)/2
Factor b**5 - 9*b**4 + 22*b**3 - 32*b.
b*(b - 4)**2*(b - 2)*(b + 1)
Suppose -122*z**2 + 2062*z + 204 = 0. Calculate z.
-6/61, 17
Determine l, given that -2*l**5/3 + 220*l**4/3 - 1436*l**3/3 - 664*l**2/3 + 4766*l/3 - 2884/3 = 0.
-2, 1, 7, 103
Factor -2*p**3/19 + 27336*p**2/19 - 93434442*p/19 + 186759556/19.
-2*(p - 6833)**2*(p - 2)/19
Solve 308*u**5 + 4384*u**4 - 19628*u**3 + 22280*u**2 - 4752*u - 2592 = 0 for u.
-18, -18/77, 1, 2
Find m such that 4*m**4 + 93672*m**3 - 374732*m**2 + 468432*m - 187376 = 0.
-23422, 1, 2
Factor -28*i**2 - 3726*i/7 - 38/7.
-2*(i + 19)*(98*i + 1)/7
Factor -2*d**4/3 + 904*d**3/3 + 910*d**2.
-2*d**2*(d - 455)*(d + 3)/3
Suppose -4*r**4 - 9780*r**3 + 29376*r**2 - 16*r - 39168 = 0. Calculate r.
-2448, -1, 2
Factor 8*q**3/7 + 2704*q**2/7 + 126458*q/7 + 1601130/7.
2*(q + 285)*(2*q + 53)**2/7
Determine n, given that n**3/3 + 419*n**2 + 825*n - 43925/3 = 0.
-1255, -7, 5
Factor -2*t**3/5 + 34*t**2/5 + 6608*t/5 + 114464/5.
-2*(t - 73)*(t + 28)**2/5
Find q, given that 3*q**2/2 + 210*q + 14025/2 = 0.
-85, -55
Let -3*m**4 - 114*m**3 + 1224*m**2 - 2094*m + 987 = 0. Calculate m.
-47, 1, 7
Factor 2*g**3 + 10*g**2 - 2226*g - 32634.
2*(g - 37)*(g + 21)**2
Let 98*d**3/3 - 298*d**2/3 - 968*d/3 + 40/3 = 0. Calculate d.
-2, 2/49, 5
Let 6*s**2 - 64330*s + 42884 = 0. Calculate s.
2/3, 10721
Let 2*y**4 + 168*y**3/5 + 526*y**2/5 + 408*y/5 - 104/5 = 0. Calculate y.
-13, -2, 1/5
Find a, given that 8*a**4/9 - 698*a**3/9 + 12686*a**2/9 + 12314*a + 22090 = 0.
-15/4, -3, 47
Determine z, given that -2*z**3 - 8*z**2 + 3118*z - 3108 = 0.
-42, 1, 37
Factor -14*a**4 + 35276*a**3/5 - 4443264*a**2/5 - 254016*a/5.
-2*a*(a - 252)**2*(35*a + 2)/5
Find v, given that -2*v**4/9 - 116*v**3/9 - 914*v**2/9 + 728*v/3 - 128 = 0.
-48, -12, 1
Factor 3*q**2 - 11694*q + 11395803.
3*(q - 1949)**2
Solve x**3 - 758*x**2 - 226612*x + 193586744 = 0 for x.
-494, 626
Factor x**2 - 80158*x + 1606326241.
(x - 40079)**2
Find o such that 2*o**5 + 1360*o**4/3 + 55868*o**3/9 - 21352*o**2/9 - 32254*o/9 - 2120/3 = 0.
-212, -15, -1/3, 1
Suppose 2*n**2 - 470*n + 11232 = 0. What is n?
27, 208
Suppose -2*x**4/9 - 376*x**3/3 + 16282*x**2/9 + 18904*x/3 + 39304/9 = 0. What is x?
-578, -2, -1, 17
Suppose -2*x**3 + 3012*x**2 - 32946*x + 83720 = 0. What is x?
4, 7, 1495
Let -b**2 - 16225*b - 16224 = 0. Calculate b.
-16224, -1
Suppose -n**3 - 687*n**2 - 111195*n + 2367571 = 0. Calculate n.
-353, 19
Find v such that 3*v**3/2 - 134859*v**2/2 + 1517667309*v/2 - 46918176453/2 = 0.
31, 22461
What is y in 4*y**2 + 17