*2 + 22200385728*r = 0. Calculate r.
-86024, 0
Let 2*g**4/5 - 360*g**3 + 512636*g**2/5 - 9687240*g + 1448188562/5 = 0. Calculate g.
71, 379
Factor 3*i**4 + 14151*i**3 - 1333341*i**2 + 41512317*i - 429884130.
3*(i - 31)**3*(i + 4810)
Solve -f**4/5 - 327*f**3/5 + f**2/5 + 327*f/5 = 0 for f.
-327, -1, 0, 1
Factor -3*i**3/8 - 795*i**2 - 3023031*i/8 + 188851113/4.
-3*(i - 102)*(i + 1111)**2/8
Determine a, given that 5*a**2 - 43860*a + 875200 = 0.
20, 8752
What is w in -2*w**4/19 - 29194*w**3/19 - 106609140*w**2/19 - 28007424*w + 33619968 = 0?
-7296, -6, 1
Solve -574*p**3/3 + 119830*p**2/3 + 28432*p/3 - 1672/3 = 0 for p.
-2/7, 2/41, 209
Find g such that -2*g**2 + 3530*g - 14088 = 0.
4, 1761
Determine r, given that 208*r**2 + 65298*r - 4396 = 0.
-314, 7/104
Factor -p**4 + 29911*p**3 + 179490*p**2 + 358996*p + 239336.
-(p - 29917)*(p + 2)**3
Factor o**3/2 + 2297*o**2 + 5267009*o/2 - 10570802.
(o - 4)*(o + 2299)**2/2
Suppose 4*n**4/5 + 14988*n**3/5 + 18674832*n**2/5 + 1536153920*n - 70650540288/5 = 0. Calculate n.
-1252, 9
Factor -3*c**3 + 2349*c**2 - 472464*c + 4916868.
-3*(c - 386)**2*(c - 11)
Solve -2*z**4/5 - 8454*z**3/5 - 37068*z**2 - 1346368*z/5 - 645888 = 0 for z.
-4205, -8, -6
Factor 2*w**2/9 + 988*w/3 + 115360/9.
2*(w + 40)*(w + 1442)/9
Factor z**4/2 - 516*z**3 + 133128*z**2.
z**2*(z - 516)**2/2
Factor -35*c**2 - 4715*c + 1350.
-5*(c + 135)*(7*c - 2)
Factor 2*o**2 + 1604*o.
2*o*(o + 802)
Solve -v**4/5 + 19*v**3/5 - 14*v**2/5 - 76*v/5 + 72/5 = 0 for v.
-2, 1, 2, 18
Let -4*q**5/3 - 102*q**4/5 + 74*q**3/3 + 4226*q**2/5 - 20438*q/15 - 484 = 0. What is q?
-11, -3/10, 2, 5
Factor 2*g**4 - 286*g**3 + 13356*g**2 - 193856*g - 443456.
2*(g - 52)**2*(g - 41)*(g + 2)
Let -2*g**3/7 - 1782*g**2/7 - 17670*g/7 - 44050/7 = 0. Calculate g.
-881, -5
Suppose m**5 + 42*m**4 + 285*m**3 - 1240*m**2 - 3696*m + 4608 = 0. What is m?
-32, -12, -3, 1, 4
Suppose w**4 + 216*w**3 - 3271*w**2 - 11730*w = 0. What is w?
-230, -3, 0, 17
Solve -2*r**2/7 + 1756*r/7 = 0 for r.
0, 878
Factor -4*j**3 + 4*j**2 + 1444*j - 1444.
-4*(j - 19)*(j - 1)*(j + 19)
Determine a, given that -a**3/5 - 19278*a**2/5 - 18589773*a - 371487076/5 = 0.
-9637, -4
Factor 2*x**2/11 + 304*x/11 - 20200/11.
2*(x - 50)*(x + 202)/11
Factor -4*w**3/3 + 188*w**2/3 + 1324*w + 1260.
-4*(w - 63)*(w + 1)*(w + 15)/3
Factor -4*v**3/3 - 67200*v**2 - 846652796*v + 5080723208/3.
-4*(v - 2)*(v + 25201)**2/3
Solve 2*y**3 + 548*y**2 + 19186*y + 18640 = 0 for y.
-233, -40, -1
What is p in -2*p**2/7 - 32*p/7 - 8 = 0?
-14, -2
Factor 45*t**4/4 + 27721*t**3/4 + 5701665*t**2/4 + 393480075*t/4 + 198147875/2.
(t + 205)**3*(45*t + 46)/4
Solve -42975*i**4/2 - 176630*i**3 - 37830*i**2 + 80*i = 0 for i.
-8, -2/9, 0, 2/955
Factor -l**3/4 - 122877*l**2/2 - 3774750720*l - 7549255688.
-(l + 2)*(l + 122876)**2/4
Factor -5*b**2 - 60245*b - 180690.
-5*(b + 3)*(b + 12046)
Suppose 3*l**4 + 10842*l**3 - 195804*l**2 + 1176120*l - 2353536 = 0. What is l?
-3632, 6
Factor 11*a**2/3 + 824*a/3 - 25.
(a + 75)*(11*a - 1)/3
Find c, given that -6*c**5/5 + 201*c**4/5 - 192*c**3 + 981*c**2/5 + 756*c/5 = 0.
-1/2, 0, 3, 28
Suppose 3*r**5 + 70*r**4 + 567*r**3 + 1840*r**2 + 1500*r - 2000 = 0. What is r?
-10, -5, -4, 2/3
Factor -j**3/7 + 13853*j**2 - 193939*j/7 + 96969/7.
-(j - 96969)*(j - 1)**2/7
Let -x**4/10 + 3*x**3/10 + 37*x**2/10 - 39*x/2 + 126/5 = 0. What is x?
-7, 3, 4
Factor -m**3/4 - 15943*m**2/4 - 63393083*m/4 + 1210230859/4.
-(m - 19)*(m + 7981)**2/4
Find p, given that -64*p**4/17 - 896*p**3/17 - 2804*p**2/17 - 2506*p/17 - 660/17 = 0.
-10, -11/4, -3/4, -1/2
What is g in 2*g**4/5 + 4*g**3/5 - 454*g**2/5 + 2064*g/5 - 2376/5 = 0?
-18, 2, 3, 11
Find y, given that 5*y**4 + 475*y**3 - 19040*y**2 + 162560*y = 0.
-127, 0, 16
Factor -2*q**3 + 1152*q**2 + 8142*q + 11660.
-2*(q - 583)*(q + 2)*(q + 5)
Let 2*p**5/5 + 52*p**4/5 - 92*p**3 + 24*p**2 + 1818*p/5 + 1188/5 = 0. What is p?
-33, -1, 3, 6
Factor o**4 - 4413*o**3 - 26505*o**2 - 39767*o - 17676.
(o - 4419)*(o + 1)**2*(o + 4)
What is n in 3528*n**5/11 - 20832*n**4 - 970534*n**3/11 - 1019554*n**2/11 - 46912*n/11 - 552/11 = 0?
-2, -1/42, 69
Solve 10976*d**5 - 1573488*d**4 - 1014552*d**3 - 217620*d**2 - 15552*d = 0.
-3/14, 0, 144
Find v, given that v**2 + 63698*v + 1014358801 = 0.
-31849
Factor 4*r**4 + 3824*r**3 + 1047696*r**2 + 63937280*r + 1118233600.
4*(r + 38)**2*(r + 440)**2
Factor 12*y**2/5 + 39732*y/5 + 32888163/5.
3*(2*y + 3311)**2/5
Suppose -o**2/5 - 4017*o/5 + 36234/5 = 0. What is o?
-4026, 9
Find y, given that 2*y**5 - 174*y**4 - 1884*y**3 - 5384*y**2 - 4656*y = 0.
-6, -2, 0, 97
Factor 14780723776*g**3 - 29560961248*g**2 - 972604*g - 8.
4*(g - 2)*(60788*g + 1)**2
Factor -3*y**2 + 31182*y - 62352.
-3*(y - 10392)*(y - 2)
Solve -136*v**2 + 98740*v - 2904 = 0 for v.
1/34, 726
Suppose h**3 - 734*h**2 + 11452*h + 25848 = 0. What is h?
-2, 18, 718
Solve 3*v**3 + 2139*v**2/4 + 3417*v/2 + 1575/4 = 0 for v.
-175, -3, -1/4
Let -2*b**3/9 + 544*b**2/9 - 21992*b/9 - 15392/3 = 0. What is b?
-2, 52, 222
Find m, given that 3*m**3 - 6335*m**2 - 2112*m = 0.
-1/3, 0, 2112
Solve 3*n**5 + 1126446*n**4 + 105735543378*n**3 - 845932784784*n**2 + 2220615380115*n - 1903401991350 = 0 for n.
-187745, 2, 3
Determine c so that -c**2 - 37*c + 78 = 0.
-39, 2
Let -c**2 - 3786*c - 146133 = 0. What is c?
-3747, -39
Solve -2*v**4 - 74966*v**3 - 702525126*v**2 - 702450162*v = 0.
-18741, -1, 0
Factor 2*a**3/19 - 40*a**2/19 - 286*a/19 + 4356/19.
2*(a - 22)*(a - 9)*(a + 11)/19
Factor -p**3/5 - 2937*p**2/5 - 2347*p - 8799/5.
-(p + 1)*(p + 3)*(p + 2933)/5
Factor 105*x**4 - 79*x**3 - 236*x**2 - 52*x.
x*(x - 2)*(x + 1)*(105*x + 26)
Factor -5935*y**4 - 11880*y**3 - 5955*y**2 - 10*y.
-5*y*(y + 1)**2*(1187*y + 2)
Determine h so that -h**4/7 + 45*h**3/7 + 1356*h**2/7 + 2132*h/7 - 10032/7 = 0.
-19, -4, 2, 66
Suppose 3*k**2 + 1596*k - 89199 = 0. What is k?
-583, 51
Let -b**4/10 + 81*b**3/5 + 498*b**2/5 + 1004*b/5 + 672/5 = 0. Calculate b.
-2, 168
Factor -4*i**3 - 3615*i**2 - 86996*i + 21975.
-(i + 25)*(i + 879)*(4*i - 1)
What is x in -3*x**3 + 212*x**2 - 3740*x + 15456 = 0?
6, 56/3, 46
Find a such that -a**3/8 - 33827*a**2/8 - 35756196*a + 71520849/2 = 0.
-16914, 1
Determine m so that 2*m**3 - 3311*m**2 + 1366192*m + 3436205 = 0.
-5/2, 829
Find a, given that 69*a**2 - 31164*a - 10848 = 0.
-8/23, 452
What is t in 18*t**5 - 27771*t**4 + 161355*t**3 + 46185*t**2 - 115293*t + 27666 = 0?
-1, 1/3, 1/2, 6, 1537
Factor -c**3/7 - 672*c**2 - 28197*c/7 - 42282/7.
-(c + 3)**2*(c + 4698)/7
Find m such that -4*m**5 - 56*m**4 + 68*m**3 + 120*m**2 = 0.
-15, -1, 0, 2
Let 3*f**5 + 3108*f**4 - 172278*f**3 + 949428*f**2 - 1381941*f = 0. Calculate f.
-1089, 0, 3, 47
Determine w so that 2*w**4/7 - 1297372*w**3/7 + 280528585272*w**2/7 - 20219284801671332*w/7 - 20219565331553978/7 = 0.
-1, 216229
What is c in 4*c**5 - 248*c**4 - 4168*c**3 + 20192*c**2 - 6492*c - 30600 = 0?
-17, -1, 2, 3, 75
Let 2*q**4/21 + 668*q**3/7 + 210736*q**2/21 + 1990820*q/7 + 1921242/7 = 0. What is q?
-887, -57, -1
Find v, given that -3*v**2 + 339*v = 0.
0, 113
Determine c, given that -5*c**5 + 165*c**3 - 220*c**2 - 660*c + 720 = 0.
-6, -2, 1, 3, 4
Find d, given that 18*d**4/5 + 6206*d**3/5 - 26436*d**2/5 + 30696*d/5 - 5584/5 = 0.
-349, 2/9, 2
Factor -1587*z**3/2 + 17319*z**2 + 3030*z + 132.
-3*(z - 22)*(23*z + 2)**2/2
Determine l so that -2*l**5 + 1152*l**4 - 6856*l**3 + 9108*l**2 + 6858*l - 10260 = 0.
-1, 1, 3, 570
Suppose l**2/4 + 130349*l/2 + 16990861801/4 = 0. What is l?
-130349
Factor -t**2 + 472*t - 16095.
-(t - 435)*(t - 37)
Determine s, given that -2*s**3/7 - 17168*s**2/7 - 17166*s/7 = 0.
-8583, -1, 0
Let -2*u**2/7 - 710*u + 238008/7 = 0. What is u?
-2532, 47
Let 32*k**5 - 18*k**4 - 5728*k**3 - 33066*k**2 - 29764*k + 28224 = 0. Calculate k.
-7, -2, 9/16, 16
Suppose -o**3 - 689*o**2 + 17089*o - 16399 = 0. What is o?
-713, 1, 23
Determine f, given that -4*f**2/9 - 310748*f/9 + 34528 = 0.
-77688, 1
Factor -20*u**2 + 192248*u - 76896.
-4*(u - 9612)*(5*u - 2)
Solve -5780*i**3 + 2020280*i**2 - 1068345*i + 141345 = 0 for i.
9/34, 349
Suppose -2*y**2/23 - 1956*y/23 + 13790/23 = 0. Calculate y.
-985, 7
Factor 2*p**2/21 - 472*p/7 + 1410/7.
2*(p - 705)*(p - 3)/21
Factor -3*u**3 + 125925*u**2 + 755631*u + 1133487.
-3*(u - 41981)*(u + 3)**2
Factor 2*f**3/9 - 496*f**2/9 - 1006*f/9 + 500/3.
2*(f - 250)*