648749156 = 0.
25733
Solve 2*c**3/9 + 1102*c**2/9 + 135830*c/9 - 501126 = 0 for c.
-289, 27
Solve 2*r**4/7 - 74*r**3/7 - 104*r**2/7 + 1016*r/7 + 1824/7 = 0.
-3, -2, 4, 38
Let 3*k**5/5 + 42*k**4 + 1341*k**3/5 + 1134*k**2/5 = 0. What is k?
-63, -6, -1, 0
Let 3*c**5/5 + 321*c**4/5 - 336*c**3/5 - 1284*c**2/5 + 1296*c/5 = 0. What is c?
-108, -2, 0, 1, 2
Solve n**2/6 - 7189*n/3 + 51681721/6 = 0.
7189
Let 150*q**5 + 4*q**4 - 4050*q**3 - 7608*q**2 - 3800*q - 96 = 0. What is q?
-4, -1, -2/75, 6
Solve -5*t**2 + 30*t + 1955 = 0 for t.
-17, 23
Find y such that -2*y**4/5 - 22*y**3/5 - 14*y**2 - 26*y/5 + 24 = 0.
-5, -4, -3, 1
Determine d, given that -2*d**2/11 - 12676*d/11 - 113922/11 = 0.
-6329, -9
Find z, given that -z**3 - 828*z**2 + 829*z = 0.
-829, 0, 1
Suppose -3*m**5/4 + 1335*m**4/4 + 336*m**3 - 669*m**2 = 0. What is m?
-2, 0, 1, 446
Factor 2*y**2 - 170*y - 1488.
2*(y - 93)*(y + 8)
Factor a**2/6 - 140*a/3 + 12031/6.
(a - 227)*(a - 53)/6
Determine o, given that -o**5 - 70*o**4 - 262*o**3 + 144*o**2 + 783*o - 594 = 0.
-66, -3, 1
Let 16*p**3 + 3126*p**2 + 12312*p + 12248 = 0. What is p?
-1531/8, -2
Let -4*z**5 + 72*z**4 + 452*z**3 + 216*z**2 - 736*z = 0. What is z?
-4, -2, 0, 1, 23
Factor -3*t**3 - 2160*t**2 + 10857*t - 13050.
-3*(t - 3)*(t - 2)*(t + 725)
Solve -5*g**3/2 + 23665*g**2/2 - 14006720*g + 13994890 = 0 for g.
1, 2366
Solve 40*h**2/3 + 18602*h + 2790 = 0 for h.
-1395, -3/20
Factor -5*z**3 - 47025*z**2 + 282285*z - 423495.
-5*(z - 3)**2*(z + 9411)
Determine a so that 4*a**2 + 1132*a + 54808 = 0.
-221, -62
Factor j**2 - 407*j - 13110.
(j - 437)*(j + 30)
Find p such that 2*p**2/9 - 335012*p/3 + 14029130018 = 0.
251259
Suppose -g**4 + 1082*g**3 - 1080*g**2 - 1082*g + 1081 = 0. Calculate g.
-1, 1, 1081
Factor 61*i**3/5 - 948*i**2/5 - 2079*i/5 - 214.
(i + 1)**2*(61*i - 1070)/5
Solve -91*l**5 + 275*l**4 - 97*l**3 - 271*l**2 + 188*l - 4 = 0 for l.
-1, 2/91, 1, 2
Let 2*u**5/21 + 34*u**4/7 - 116*u**3 - 80204*u**2/21 + 722390*u/7 - 4307550/7 = 0. What is u?
-47, 13, 15
Find n such that n**2/3 + 991*n/3 - 662 = 0.
-993, 2
What is q in -q**2 + 14202*q + 127899 = 0?
-9, 14211
Factor 2*s**3/9 + 1558*s**2/9 - 12560*s/9 + 25184/9.
2*(s - 4)**2*(s + 787)/9
Factor -1059*z**3 - 6348*z**2 - 9495*z + 54.
-3*(z + 3)**2*(353*z - 2)
Find y, given that -4*y**4 + 2524*y**3 + 28108*y**2 + 89780*y + 64200 = 0.
-5, -1, 642
Determine n, given that -3*n**5 + 1121*n**4 + 53918*n**3 + 121558*n**2 + 85861*n + 17097 = 0.
-41, -1, -1/3, 417
Find a such that -4*a**5/7 + 5356*a**4/7 - 260288*a**3 + 19399424*a**2/7 = 0.
0, 11, 664
Factor 2*b**2/11 + 60*b/11 - 800/11.
2*(b - 10)*(b + 40)/11
Factor -i**2 + 2034*i.
-i*(i - 2034)
Find n, given that -2*n**5 - 293*n**4/2 + 2127*n**3/2 - 1325*n**2 - 400*n = 0.
-80, -1/4, 0, 2, 5
Factor -17*p**3 - 684*p**2 + 563*p + 1230.
-(p + 1)*(p + 41)*(17*p - 30)
Let -3*x**2 + 147270*x - 1807371075 = 0. Calculate x.
24545
Factor -m**4/2 + 50*m**3 - 123*m**2 - 2270*m + 16975/2.
-(m - 97)*(m - 5)**2*(m + 7)/2
Factor -3*z**2 - 897*z + 13146.
-3*(z - 14)*(z + 313)
Suppose -a**5/3 - 80*a**4/3 + 505*a**3/3 - 940*a**2/3 + 172*a = 0. Calculate a.
-86, 0, 1, 2, 3
Factor 2*i**3/15 - 238*i**2/15 - 2812*i/15 - 416.
2*(i - 130)*(i + 3)*(i + 8)/15
Find x, given that -2*x**3/11 + 158*x**2/11 - 4094*x/11 + 3174 = 0.
23, 33
Factor -4*w**2/3 + 1014712*w/3.
-4*w*(w - 253678)/3
Suppose n**5/4 - 723*n**4/4 - 2905*n**3/4 - 2185*n**2/4 + 726*n + 727 = 0. What is n?
-2, -1, 1, 727
Determine k, given that -6*k**3/7 + 42018*k**2/7 - 73584018*k/7 + 73542006/7 = 0.
1, 3501
Suppose 753*r**2 - 5269*r - 14 = 0. Calculate r.
-2/753, 7
Factor 5*g**2/4 + 35*g/4 - 9555.
5*(g - 84)*(g + 91)/4
Factor -y**2/5 - 482*y/5 - 12712/5.
-(y + 28)*(y + 454)/5
Find d such that -45*d**5 - 96*d**4 + 663*d**3 + 1710*d**2 + 216*d = 0.
-3, -2/15, 0, 4
Solve -9*l**4 + 11204*l**3 + 23682*l**2 + 13716*l + 1247 = 0.
-1, -1/9, 1247
Factor -3*m**3 + 243*m**2 - 2718*m + 4488.
-3*(m - 68)*(m - 11)*(m - 2)
Find o, given that 2*o**3 + 13146*o**2 + 21450192*o - 500332984 = 0.
-3298, 23
Factor 5*k**2 - 732550*k.
5*k*(k - 146510)
Determine d so that -d**5/2 - d**4/2 + 7*d**3/2 + d**2/2 - 3*d = 0.
-3, -1, 0, 1, 2
Factor 5*i**2/6 - 2596*i + 3115/6.
(i - 3115)*(5*i - 1)/6
Factor 14*f**3 - 11346*f**2 + 2301210*f - 984150.
2*(f - 405)**2*(7*f - 3)
Let -4150*c**5 + 14541*c**4/2 + 60147*c**3/2 - 74758*c**2 + 37494*c - 72 = 0. Calculate c.
-3, 4/2075, 3/4, 2
Find f such that 2*f**4/17 - 351252*f**3/17 + 351248*f**2/17 + 351252*f/17 - 351250/17 = 0.
-1, 1, 175625
Determine q so that -6*q**2/11 - 28308*q/11 + 255258/11 = 0.
-4727, 9
Factor s**4 - 9658*s**3 + 748761*s**2 - 14571180*s.
s*(s - 9580)*(s - 39)**2
Factor z**4 + 1105*z**3 + 303594*z**2 - 918532*z + 613832.
(z - 2)*(z - 1)*(z + 554)**2
What is n in -3*n**2 - 133845*n + 133848 = 0?
-44616, 1
Let v**4/3 - 29*v**3/3 - 80*v**2 - 144*v = 0. Calculate v.
-4, -3, 0, 36
Determine g so that -4*g**3 - 4339164*g**2 - 1176769344096*g + 1176773683264 = 0.
-542396, 1
What is h in -2*h**2 - 572492*h - 40968386258 = 0?
-143123
Factor -4*a**3 - 364*a**2 - 5304*a + 12096.
-4*(a - 2)*(a + 21)*(a + 72)
Factor z**2/3 - 4105*z/3 + 1368.
(z - 4104)*(z - 1)/3
Factor -w**4/7 - 9*w**3/7 - 9*w**2/7 + 7*w - 30/7.
-(w - 1)**2*(w + 5)*(w + 6)/7
What is d in -2*d**2 + 2550*d - 781812 = 0?
513, 762
Factor 4*c**5 + 39944*c**4 - 559804*c**3 + 1960000*c**2.
4*c**2*(c - 7)**2*(c + 10000)
Suppose 16*x**4 - 2452*x**3 + 10148*x**2 - 2384*x = 0. What is x?
0, 1/4, 4, 149
Solve -3*f**2/5 - 471*f/5 + 11214/5 = 0 for f.
-178, 21
Suppose -5*q**3 + 31020*q**2 - 556740*q = 0. What is q?
0, 18, 6186
What is b in -b**2/9 + 44*b/9 + 749 = 0?
-63, 107
Solve l**2/2 - 6283*l = 0 for l.
0, 12566
What is h in -h**2/3 - 85*h + 3766/3 = 0?
-269, 14
Suppose -9*t**4/4 - 57*t**3/2 + 39*t**2/4 + 324*t - 108 = 0. Calculate t.
-12, -4, 1/3, 3
Factor 4*j**3 - 212*j**2 - 26200*j - 25984.
4*(j - 112)*(j + 1)*(j + 58)
Factor -5*j**2 - 72270*j - 261147645.
-5*(j + 7227)**2
Solve -77*u**5/3 - 1207*u**4/6 + 3139*u**3/6 - 949*u**2/3 + 20*u = 0 for u.
-10, 0, 1/14, 1, 12/11
Factor 3*a**2 - 162810*a + 2208924675.
3*(a - 27135)**2
Factor 1891125*l**2 - 1451400*l + 278480.
5*(615*l - 236)**2
Factor -22*a**2 - 165620*a - 30112.
-2*(a + 7528)*(11*a + 2)
Factor 17030*x**2 + 7912*x/3 + 8/3.
2*(13*x + 2)*(1965*x + 2)/3
Factor 2*i**3/5 + 15278*i**2/5 + 30542*i/5 - 45822/5.
2*(i - 1)*(i + 3)*(i + 7637)/5
Factor 5*i**2 - 32915*i - 32920.
5*(i - 6584)*(i + 1)
Find z such that 18*z**5 - 8734*z**4 + 10472*z**3 + 85080*z**2 + 50368*z - 15488 = 0.
-2, -1, 2/9, 4, 484
Factor -f**2 - 6425*f - 70554.
-(f + 11)*(f + 6414)
Factor 3*c**2 - 58383*c + 58380.
3*(c - 19460)*(c - 1)
Factor z**3/3 - 11*z**2/3 - 4*z/3 + 224/3.
(z - 8)*(z - 7)*(z + 4)/3
Solve -y**3/2 + 121095*y**2 - 7332120606*y + 14663756836 = 0 for y.
2, 121094
Factor -3*o**3/7 - 1008351*o**2/7 - 84731482440*o/7 - 84730474092/7.
-3*(o + 1)*(o + 168058)**2/7
Let -x**2 + 583*x + 39990 = 0. What is x?
-62, 645
Find u, given that 141*u**5/2 - 828*u**4 - 8751*u**3/2 - 6561*u**2 - 3660*u - 576 = 0.
-2, -1, -12/47, 16
What is q in -2*q**4 - 1946*q**3 - 627876*q**2 - 66103672*q + 346459760 = 0?
-326, 5
Let 2*s**5 + 174*s**4 + 5040*s**3 + 48608*s**2 = 0. Calculate s.
-31, -28, 0
Suppose -4*q**5 - 512*q**4 - 4820*q**3 - 11800*q**2 = 0. What is q?
-118, -5, 0
Factor -3*l**4/7 - 276*l**3 - 5778*l**2/7 - 5772*l/7 - 1923/7.
-3*(l + 1)**3*(l + 641)/7
Determine f, given that 3*f**5 - 3714*f**4 - 3720*f**3 + 3714*f**2 + 3717*f = 0.
-1, 0, 1, 1239
Factor 2*j**3/7 + 386*j**2/7 + 8572*j/7 - 2672.
2*(j - 2)*(j + 28)*(j + 167)/7
Factor 4*h**2/5 - 30712*h/5 - 92172/5.
4*(h - 7681)*(h + 3)/5
Find c, given that -c**2/4 - 63025*c/2 - 3972150625/4 = 0.
-63025
Factor -5*r**3 + 10990*r**2 + 10995*r.
-5*r*(r - 2199)*(r + 1)
Factor 5*a**4 + 23*a**3 + 32*a**2 + 12*a.
a*(a + 2)**2*(5*a + 3)
Determine r so that -4*r**5 - 284*r**4 - 1680*r**3 + 7088*r**2 - 5120*r = 0.
-64, -10, 0, 1, 2
Factor -5*g**3 - 455*g**2 - 4170*g - 9720.
-5*(g + 4)*(g + 6)*(g + 81)
Factor -2*a**2/5 - 36726*a/5 + 36728/5.
-2*(a - 1)*(a + 18364)/5
Let 305283*z**4/5 - 6714312*z**3/5 + 36897138*z**2/5 + 231528*z/5 + 363/5 = 0. What is z?
-1/319, 11
Suppose 10*k**4 - 546265*k**3/2 + 2867365*k**2/2 - 341350*k = 0. Calculate k.
0, 1/4, 5, 27308
Solve 2*l**3/9 