- 12065*h/2 + 6570.
5*(h - 657)*(h - 1)*(h + 12)/6
Factor k**4/7 - 268*k**3/7 + 17134*k**2/7 + 110148*k/7 + 168921/7.
(k - 137)**2*(k + 3)**2/7
Determine a so that -2*a**4 + 118*a**3 - 222*a**2 - 342*a = 0.
-1, 0, 3, 57
Solve -2*v**3 + 125566*v**2 - 1971291952*v + 13792891616 = 0.
7, 31388
Find m, given that -2*m**3 - 1914*m**2 - 3822*m - 1910 = 0.
-955, -1
Factor 63*l**3/8 + 1795*l**2/4 + 6873*l/8 - 55/4.
(l + 2)*(l + 55)*(63*l - 1)/8
Factor -z**4/3 - 22*z**3/3 + 216*z**2 - 960*z.
-z*(z - 12)*(z - 6)*(z + 40)/3
Let n**5 + 33*n**4 - 41*n**3 - 225*n**2 + 436*n - 204 = 0. Calculate n.
-34, -3, 1, 2
Find h such that 2*h**5 - 3186*h**4 - 35240*h**3 - 77064*h**2 + 115488*h = 0.
-6, 0, 1, 1604
Solve -3*m**3/10 + 413*m**2/10 - 1407*m - 2368/5 = 0.
-1/3, 64, 74
Suppose -25*p**5/3 + 114295*p**4/3 + 7642*p**3 - 301796*p**2/3 + 201176*p/3 - 12192 = 0. What is p?
-2, 2/5, 1, 4572
Factor -74*a**2/5 + 381246*a/5 + 10304/5.
-2*(a - 5152)*(37*a + 1)/5
Solve -g**3/3 + 902*g**2/3 - 1795*g + 2688 = 0 for g.
3, 896
Factor 2*p**2/15 - 3844*p/15 + 3838/5.
2*(p - 1919)*(p - 3)/15
Factor 4*t**3/7 - 296*t**2/7 + 4576*t/7.
4*t*(t - 52)*(t - 22)/7
Suppose p**4/4 - 69*p**3/4 - 990*p**2 + 1007*p = 0. Calculate p.
-38, 0, 1, 106
Factor 2*j**4 + 200*j**3 + 964*j**2 + 1336*j + 570.
2*(j + 1)**2*(j + 3)*(j + 95)
Factor 2*h**2/7 + 334*h/7 - 7068/7.
2*(h - 19)*(h + 186)/7
Suppose h**3 - 17397*h**2/8 + 4731711*h/4 - 5907845/8 = 0. What is h?
5/8, 1087
Solve 5*u**4 + 2220*u**3 + 8815*u**2 + 6600*u = 0 for u.
-440, -3, -1, 0
Solve 5*s**3 + 8685*s**2 + 103680*s + 310500 = 0 for s.
-1725, -6
Factor -y**2/5 - 9714*y/5 - 23590449/5.
-(y + 4857)**2/5
Solve -425*h**2 - 1912*h/5 + 213/5 = 0.
-1, 213/2125
Determine g so that -12*g**5 + 911*g**4 - 11665*g**3 - 18765*g**2 + 20917*g + 8614 = 0.
-2, -1/3, 1, 73/4, 59
Factor -a**3 + 5441*a**2 - 7398399*a - 7403841.
-(a - 2721)**2*(a + 1)
Determine k, given that k**4/4 + 185*k**3/2 - 3411*k**2/4 + 27*k + 10233 = 0.
-379, -3, 6
Solve 4*x**4 + 336*x**3 - 5836*x**2 + 10296*x = 0.
-99, 0, 2, 13
Let -2*r**5 + 2470*r**4 + 9910*r**3 + 2490*r**2 - 14868*r = 0. What is r?
-3, -2, 0, 1, 1239
Let 2*t**4/7 + 86*t**3/7 - 3960*t**2/7 - 166496*t/7 + 170368/7 = 0. Calculate t.
-44, 1, 44
Factor -5*m**2 + 2395*m + 359400.
-5*(m - 599)*(m + 120)
Factor -2*g**3/7 + 468*g**2/7 - 2262*g/7 - 916.
-2*(g - 229)*(g - 7)*(g + 2)/7
Suppose -3*w**2 - 17688*w - 26072112 = 0. Calculate w.
-2948
Let 2*q**3/15 - 18*q**2/5 + 86*q/3 - 70 = 0. Calculate q.
5, 7, 15
Factor -3*k**3 - 7254*k**2 - 4377780*k + 8784600.
-3*(k - 2)*(k + 1210)**2
Factor x**4/4 - 471*x**3/4 + 703*x**2/2 - 234*x.
x*(x - 468)*(x - 2)*(x - 1)/4
Solve 5*l**2 - 392690*l + 7710271805 = 0.
39269
Find m such that 2*m**2/3 + 826*m/3 + 8128 = 0.
-381, -32
What is y in 4*y**5/3 + 2168*y**4/3 + 70372*y**3/3 + 654448*y**2/3 + 1106432*y/3 + 520192/3 = 0?
-508, -16, -1
Factor p**2/3 - 30854*p/3 + 237992329/3.
(p - 15427)**2/3
Factor 4*s**3 - 1636*s**2 + 57836*s - 535724.
4*(s - 371)*(s - 19)**2
Let -2*k**3/3 - 98*k**2 + 27456*k - 1228968 = 0. Calculate k.
-303, 78
Find i such that i**4/5 + 383*i**3/5 + 603*i**2 + 1125*i = 0.
-375, -5, -3, 0
Factor -3*j**3 - 684*j**2 - 8241*j + 30960.
-3*(j - 3)*(j + 16)*(j + 215)
Determine v so that v**5/5 - 554*v**4/5 + 79974*v**3/5 - 897028*v**2/5 + 427909*v - 1321938/5 = 0.
1, 2, 9, 271
What is j in -j**5/6 + 20*j**4/3 + 247*j**3/6 - 7427*j**2/3 - 7610*j - 5100 = 0?
-17, -2, -1, 30
What is o in -45*o**5 - 1348*o**4 + 4380*o**3 - 4602*o**2 + 1681*o - 66 = 0?
-33, 2/45, 1
Solve -5*n**4 + 945*n**3 + 2880*n**2 + 20*n - 3840 = 0.
-2, 1, 192
Let -3*b**5 + 501*b**4 - 15894*b**3 - 247428*b**2 - 800280*b = 0. Calculate b.
-6, 0, 65, 114
Factor -q**2 - 1501*q - 538444.
-(q + 593)*(q + 908)
Factor 2*j**3/5 - 572*j**2/5 + 1662*j/5 + 10188/5.
2*(j - 283)*(j - 6)*(j + 3)/5
Solve b**2 - 3526*b - 28272 = 0.
-8, 3534
Solve -8*y**5 - 266*y**4 - 35*y**3 + 1020*y**2 - 117*y - 594 = 0.
-33, -2, -3/4, 1, 3/2
Let -2*l**5 - 68*l**4 - 744*l**3 - 2800*l**2 - 3136*l = 0. Calculate l.
-14, -4, -2, 0
Determine q, given that q**4/3 + 56*q**3/3 + 949*q**2/3 + 1690*q = 0.
-30, -13, 0
Suppose 3*k**2 - 1071*k - 15582 = 0. Calculate k.
-14, 371
Let 11*k**3/4 + 79*k**2/4 + 7*k/2 = 0. Calculate k.
-7, -2/11, 0
Find r such that -r**2 + 1611490*r - 649225005025 = 0.
805745
Suppose 9*j**4 - 3093*j**3 - 4137*j**2 - 1035*j = 0. What is j?
-1, -1/3, 0, 345
Let 10*i**4/9 - 472*i**3/9 + 616*i**2 = 0. Calculate i.
0, 22, 126/5
Factor -2*t**2/5 + 12722*t/5 + 12724/5.
-2*(t - 6362)*(t + 1)/5
Let -2*r**2 - 5706*r + 5708 = 0. What is r?
-2854, 1
Factor -3*g**4 + 243*g**3 + 2655*g**2 + 6825*g.
-3*g*(g - 91)*(g + 5)**2
Factor -n**3/3 + 255*n**2.
-n**2*(n - 765)/3
Solve -4*q**2/3 - 18268*q/3 - 145376 = 0 for q.
-4543, -24
Determine o, given that -5*o**4 + 505*o**3 - 6450*o**2 = 0.
0, 15, 86
Let 98*h**2/3 + 14048*h + 1720/3 = 0. What is h?
-430, -2/49
Let 2*p**5/13 - 40*p**4/13 + 72*p**3/13 = 0. What is p?
0, 2, 18
Determine c so that c**3 + 1491*c**2 - 13492*c + 12000 = 0.
-1500, 1, 8
Factor -2*y**4/7 + 3856*y**3/7 - 1811456*y**2/7 - 45723648*y/7.
-2*y*(y - 976)**2*(y + 24)/7
Suppose -n**2/3 + 8268*n - 51269868 = 0. What is n?
12402
Suppose 126025*s**3/4 + 123185*s**2/2 - 2824*s + 32 = 0. Calculate s.
-2, 8/355
Factor -p**3/2 - 203*p**2/2 - 1759*p/2 + 33003/2.
-(p - 9)*(p + 19)*(p + 193)/2
Find x such that -4*x**4 - 92*x**3 + 104*x**2 + 192*x = 0.
-24, -1, 0, 2
Find a such that -4*a**5/3 - 76*a**4/3 - 20*a**3 + 236*a**2/3 + 368*a/3 + 48 = 0.
-18, -1, 2
Factor -w**2 - 31350*w - 245705625.
-(w + 15675)**2
Suppose -5*s**5 + 2655*s**4 + 245630*s**3 + 5614120*s**2 + 13785600*s - 19648000 = 0. What is s?
-40, -4, 1, 614
Factor -q**3/7 + 324*q**2/7 - 21251*q/7 - 21576/7.
-(q - 232)*(q - 93)*(q + 1)/7
Suppose -5*l**5 - 870*l**4 + 3575*l**3 + 2620*l**2 - 8940*l - 7120 = 0. What is l?
-178, -1, 2, 4
Factor -269058409*r**2/4 + 16403*r - 1.
-(16403*r - 2)**2/4
Suppose -2*z**5/3 + 24*z**4 - 386*z**3/3 + 268*z**2 - 728*z/3 + 80 = 0. What is z?
1, 2, 30
Factor 3*t**2 - 60306*t + 303067803.
3*(t - 10051)**2
Factor h**3/5 - 958*h**2/5 + 4771*h/5 - 5718/5.
(h - 953)*(h - 3)*(h - 2)/5
Determine g so that 3*g**4 - 5316*g**3 + 2317407*g**2 + 33364266*g + 57416328 = 0.
-12, -2, 893
Determine y so that y**3/4 + 885*y**2/4 - 1773*y/4 + 887/4 = 0.
-887, 1
Factor -4*n**2/9 - 104*n/9 + 9728/9.
-4*(n - 38)*(n + 64)/9
Solve 4*p**3 + 1808*p**2 - 16564*p + 14752 = 0 for p.
-461, 1, 8
Suppose x**3/2 - 3869*x**2/2 - 7745*x/2 + 11613/2 = 0. Calculate x.
-3, 1, 3871
Determine x, given that 66564*x**3 + 537672*x**2 + 41380*x + 800 = 0.
-8, -5/129
Factor 2547*h**2/2 - h.
h*(2547*h - 2)/2
Factor -r**3/3 + 502495*r**2/3 + 1004993*r/3 + 167499.
-(r - 502497)*(r + 1)**2/3
Suppose -5*p**3 - 1355*p**2 + 60200*p - 622000 = 0. What is p?
-311, 20
Factor 3*n**3 + 45981*n**2 - 45984*n.
3*n*(n - 1)*(n + 15328)
Factor -4*g**2 + 1808*g + 16596.
-4*(g - 461)*(g + 9)
Factor 3*z**3/8 + 87*z**2/8 + 159*z/4 - 126.
3*(z - 2)*(z + 7)*(z + 24)/8
Factor 5*s**3 + 7290*s**2 - 746405*s - 753690.
5*(s - 97)*(s + 1)*(s + 1554)
Factor 6*y**2 + 1126*y/3 + 16240/3.
2*(y + 40)*(9*y + 203)/3
Solve -5*g**4 + 145*g**3 - 465*g**2 - 925*g + 1250 = 0.
-2, 1, 5, 25
Find o, given that o**2/7 - 142*o/7 - 2703/7 = 0.
-17, 159
Factor y**4/4 - 103*y**3/4 + 51*y**2/2.
y**2*(y - 102)*(y - 1)/4
Factor 3*r**3 - 8934*r**2 + 8925*r + 17862.
3*(r - 2977)*(r - 2)*(r + 1)
Factor -4*u**2 + 5018424*u - 1574036215236.
-4*(u - 627303)**2
Determine a, given that 16*a**3/5 + 2134*a**2 - 55094*a/5 + 1344 = 0.
-672, 1/8, 5
Suppose -3*a**5/8 + 27*a**4/8 + 1131*a**3/4 - 3459*a**2/4 + 6957*a/8 - 2325/8 = 0. Calculate a.
-25, 1, 31
Suppose 3888*p**2 + 288*p + 4 = 0. Calculate p.
-1/18, -1/54
Find w such that 2*w**5/7 - 2*w**4/7 - 23332*w**3/7 - 3332*w**2 + 23330*w/7 + 23326/7 = 0.
-107, -1, 1, 109
Let -o**3/3 - 6475*o**2/3 - 3501344*o - 24403764 = 0. What is o?
-3234, -7
Factor 4*f**3 + 8*f**2 - 12*f.
4*f*(f - 1)*(f + 3)
Factor -2*y**2 - 4312*y + 47674.
-2*(y - 11)*(y + 2167)
Factor -2*k**3 + 7802*k**2 + 7808*k - 15608.
-2*(k - 3902)*(k - 1)*(k + 2)
Let 35*t**4 + 3700*t**3 - 99620*t**2 + 28160*t = 0. What is t?
-128, 0, 2/7, 22
Determine f, given that 15*f**5 - 219*f**4/2 + 171*f**3 + 57*f**2/2 - 105*f = 0.
-7/10, 0, 1, 2, 5
Let