termine w so that w**2 - 24363*w = 0.
0, 24363
Determine c so that -33*c**4 + 855*c**3 + 78*c**2 = 0.
-1/11, 0, 26
Suppose 15*x**5 + 490*x**4 - 520*x**3 - 490*x**2 + 505*x = 0. What is x?
-101/3, -1, 0, 1
Suppose -265*o**5 - 1075*o**4 - 590*o**3 + 1030*o**2 + 855*o + 45 = 0. Calculate o.
-3, -1, -3/53, 1
Find p, given that 2*p**5/9 - 1394*p**4/9 + 12590*p**3 - 273150*p**2 = 0.
0, 45, 607
Find u, given that -u**3/2 - 122*u**2 - 3024*u = 0.
-216, -28, 0
Suppose -j**5 - 234*j**4 + 7050*j**3 + 704*j**2 - 20673*j - 14094 = 0. What is j?
-261, -1, 2, 27
Find y such that -4*y**3/3 + 2584*y**2/3 - 5132*y + 7680 = 0.
3, 640
Factor -3*y**4/2 - 4609*y**3 - 21187501*y**2/6 + 42541070*y/3 - 42596450/3.
-(y - 2)**2*(3*y + 4615)**2/6
Factor 52*k**3 + 38032*k**2 - 23444*k - 14640.
4*(k - 1)*(k + 732)*(13*k + 5)
Let -5*f**2 - 14595*f + 205310 = 0. What is f?
-2933, 14
Let 11*v**2/2 - 4788*v - 9587/2 = 0. Calculate v.
-1, 9587/11
Factor -52*b**5 + 209*b**4 - 4*b**3.
-b**3*(b - 4)*(52*b - 1)
Let 2*q**2/3 + 53548*q/3 + 358423538/3 = 0. What is q?
-13387
Factor 2*p**3/9 + 16376*p**2/3 - 65512*p/3 + 196544/9.
2*(p - 2)**2*(p + 24568)/9
Factor 4*m**2/7 - 1150*m/21 + 950/21.
2*(m - 95)*(6*m - 5)/21
Suppose 312*o**5 - 6879*o**4 + 49002*o**3 - 120276*o**2 + 81486*o - 3645 = 0. Calculate o.
5/104, 1, 3, 9
Factor 4*d**2/7 + 45408*d/7 - 590980/7.
4*(d - 13)*(d + 11365)/7
Suppose 5*h**5 + 2035*h**4 + 15910*h**3 - 19990*h**2 - 15915*h + 17955 = 0. What is h?
-399, -9, -1, 1
Suppose 5*m**5 + 6950*m**4 - 28350*m**3 - 654200*m**2 + 1365625*m - 690030 = 0. What is m?
-1394, -9, 1, 11
Factor m**2/6 - 40300*m/3 + 812045000/3.
(m - 40300)**2/6
Let 27*l**5 + 684*l**4 + 30*l**3 - 5100*l**2 - 5625*l = 0. What is l?
-25, -5/3, 0, 3
Let 13*g**4 + 392*g**3/5 + 532*g**2/5 + 16*g/5 = 0. What is g?
-4, -2, -2/65, 0
Let -2*t**4 - 8396*t**3 + 42016*t**2 - 58836*t + 25218 = 0. What is t?
-4203, 1, 3
Factor -5*l**3 - 17695*l**2 - 15664495*l - 15646805.
-5*(l + 1)*(l + 1769)**2
Factor -y**2/6 + 89*y/3 + 380.
-(y - 190)*(y + 12)/6
Factor 3*x**2/2 - 303960*x - 607923/2.
3*(x - 202641)*(x + 1)/2
Determine s so that 2*s**2 - 119552*s + 119550 = 0.
1, 59775
Factor 5*y**2 + 790*y - 795.
5*(y - 1)*(y + 159)
Suppose -8*v**5 + 82*v**4 - 12*v**3 - 82*v**2 + 20*v = 0. Calculate v.
-1, 0, 1/4, 1, 10
Factor 3*s**2/8 + 165*s/2 - 1800.
3*(s - 20)*(s + 240)/8
Factor 3*y**3 - 642*y**2 + 9123*y - 33432.
3*(y - 199)*(y - 8)*(y - 7)
Factor -3*h**2 - 280656*h - 6563982528.
-3*(h + 46776)**2
Find q, given that 12*q**4 - 364*q**3 + 3352*q**2 - 8400*q - 7200 = 0.
-2/3, 6, 10, 15
Factor -2786*a**3 + 256316*a**2 - 5895544*a + 8464.
-2*(a - 46)**2*(1393*a - 2)
Solve -94*j**5/7 + 2476*j**4/7 - 14086*j**3/7 - 29704*j**2/7 - 968*j + 896 = 0 for j.
-1, 16/47, 14
Factor m**3 + 16946*m**2/9 - 69815*m/9 + 2516/3.
(m - 4)*(m + 1887)*(9*m - 1)/9
Factor -4*y**3/7 - 144*y**2/7 + 13420*y/7 - 1896.
-4*(y - 42)*(y - 1)*(y + 79)/7
Find n such that 3*n**2/2 + 382*n + 3198 = 0.
-246, -26/3
Find x, given that -302*x**2 - 15694*x + 520 = 0.
-52, 5/151
Suppose -w**2/2 + 1253*w/2 - 29498 = 0. Calculate w.
49, 1204
Factor -3*s**2/8 + 220785*s - 32497344150.
-3*(s - 294380)**2/8
Solve -3*g**3/2 - 83*g**2/2 + 1027*g/2 - 333/2 = 0 for g.
-37, 1/3, 9
Factor 3*r**3/7 + 2433*r**2/7 - 27204*r/7 - 64116/7.
3*(r - 13)*(r + 2)*(r + 822)/7
Solve -3*n**3 - 3405*n**2 - 23664*n + 27072 = 0.
-1128, -8, 1
Find r such that r**2/3 + 344*r/3 + 3965 = 0.
-305, -39
Factor 4*r**2 + 896*r + 13312.
4*(r + 16)*(r + 208)
Solve h**5 - 21392*h**4 + 152596224*h**3 - 363381562368*h**2 + 2897297289216*h = 0.
0, 8, 7128
Factor 3*h**2 + 144264*h + 1734341808.
3*(h + 24044)**2
Factor -4*d**3/3 - 152*d**2/3 + 1292*d/3 + 480.
-4*(d - 8)*(d + 1)*(d + 45)/3
Determine t, given that -2*t**3 + 6130*t**2 - 12254*t + 6126 = 0.
1, 3063
Factor k**4/4 - 73*k**3/4 - k**2/4 + 73*k/4.
k*(k - 73)*(k - 1)*(k + 1)/4
Find i, given that 3*i**5/4 - 11799*i**4/4 + 11571801*i**3/4 + 58201611*i**2/4 - 11571813*i - 58154415 = 0.
-5, -2, 2, 1969
Let 2*k**5/3 + 25138*k**4/3 - 41918*k**3 - 176026*k**2/3 + 125752*k/3 + 50296 = 0. Calculate k.
-12574, -1, 1, 6
Determine m so that -3*m**2 - 316*m - 2860 = 0.
-286/3, -10
Factor -2*b**3/3 + 4*b**2 + 50*b/3 + 12.
-2*(b - 9)*(b + 1)*(b + 2)/3
Factor -l**2/3 + 138*l - 41000/3.
-(l - 250)*(l - 164)/3
Determine i, given that -2*i**3/11 + 188*i**2/11 + 390*i/11 - 576/11 = 0.
-3, 1, 96
Find l, given that l**5/5 + 135*l**4 + 5342*l**3/5 + 3994*l**2/5 - 5343*l/5 - 4669/5 = 0.
-667, -7, -1, 1
Let 4*p**2 - 1588088*p + 157626468484 = 0. What is p?
198511
Factor -i**3 + 5515*i**2.
-i**2*(i - 5515)
Factor 2*l**3/7 + 2026*l**2/7 + 110284*l/7 - 473680/7.
2*(l - 4)*(l + 62)*(l + 955)/7
What is f in 166*f**2 - 1823*f - 33 = 0?
-3/166, 11
Factor -g**2/2 - 5959*g + 167244.
-(g - 28)*(g + 11946)/2
What is z in 175*z**5/4 - 19335*z**4/4 - 10387*z**3/4 + 44295*z**2/4 - 6336*z + 999 = 0?
-2, 2/7, 3/5, 111
What is k in -5*k**4 + 295*k**3 + 245*k**2 - 14455*k = 0?
-7, 0, 7, 59
Factor -d**4 - 226*d**3 - 15144*d**2 - 248800*d + 560000.
-(d - 2)*(d + 28)*(d + 100)**2
Factor 5*k**3 - 15710*k**2 + 12340205*k.
5*k*(k - 1571)**2
Factor -3*v**2 - 44700*v - 166507500.
-3*(v + 7450)**2
Let 4*p**3 + 316*p**2 + 2664*p - 6624 = 0. What is p?
-69, -12, 2
Solve 3*h**2 + 2787*h + 5562 = 0 for h.
-927, -2
Factor -3*m**3 - 8151*m**2 + 16314*m.
-3*m*(m - 2)*(m + 2719)
Let -3*j**5/2 - 465*j**4/2 - 5571*j**3/2 - 4647*j**2/2 + 2787*j + 2556 = 0. Calculate j.
-142, -12, -1, 1
Determine l, given that -2*l**4 - 376*l**3 - 714*l**2 + 5652*l + 13392 = 0.
-186, -3, 4
Factor 25*w**2/4 - 204155*w/2 + 40830.
5*(w - 16332)*(5*w - 2)/4
Factor -5*g**4 + 25570*g**3 - 51125*g**2 + 25560*g.
-5*g*(g - 5112)*(g - 1)**2
Factor 1197*u**3/5 + 7179*u**2/5 - 18*u/5.
3*u*(u + 6)*(399*u - 1)/5
Solve -3*m**3/5 - 195723*m**2/5 - 39144*m = 0 for m.
-65240, -1, 0
Factor 2*r**2/11 - 96*r/11 + 952/11.
2*(r - 34)*(r - 14)/11
Determine x, given that -x**4 + 206*x**3 + 16083*x**2 - 32780*x + 16492 = 0.
-62, 1, 266
Let 96*n**4 + 540656*n**3 + 450502*n**2 + 123884*n + 11262 = 0. What is n?
-5631, -1/3, -1/4
Factor -5*s**5 + 2405*s**4 - 28320*s**3 + 84420*s**2.
-5*s**2*(s - 469)*(s - 6)**2
Suppose w**2 - 309306*w + 23917550409 = 0. Calculate w.
154653
Factor o**4/5 + 267*o**3 + 1332*o**2/5 - 2668*o/5.
o*(o - 1)*(o + 2)*(o + 1334)/5
Factor -x**2/5 + 72854*x/5 - 1326926329/5.
-(x - 36427)**2/5
Find g, given that 55*g**4 - 970*g**3 - 19555*g**2 - 25130*g - 6600 = 0.
-11, -1, -4/11, 30
Factor t**4/8 + 33*t**3 - 267*t**2/8 - 265*t/4.
t*(t - 2)*(t + 1)*(t + 265)/8
Let -27*v**5/8 + 2112*v**4 - 2412555*v**3/8 - 36083817*v**2/4 - 125213829*v/2 - 13470483 = 0. What is v?
-13, -2/9, 326
Solve 5*c**2 + 5062500*c + 1281445312500 = 0 for c.
-506250
Let -w**3 - 366*w**2 + 14148*w - 130248 = 0. What is w?
-402, 18
Factor n**4 - 228*n**3 + 4835*n**2 - 24600*n.
n*(n - 205)*(n - 15)*(n - 8)
Suppose -175*x**5 + 185*x**4 + 3665*x**3 - 385*x**2 - 3490*x + 200 = 0. What is x?
-4, -1, 2/35, 1, 5
Determine j so that -j**2 + 398138*j - 39628466761 = 0.
199069
Factor 9*m**2 - 434577*m + 144858.
3*(m - 48286)*(3*m - 1)
Factor 2*o**2 + 913252*o + 104253651938.
2*(o + 228313)**2
Factor 2*n**2/7 - 75782*n.
2*n*(n - 265237)/7
Let x**4/11 + 8691*x**3/11 + 26067*x**2/11 + 26065*x/11 + 8688/11 = 0. What is x?
-8688, -1
Solve 2*c**2/23 + 19224*c/23 + 46195272/23 = 0 for c.
-4806
Determine u so that 66*u**2/7 + 77026*u/7 + 4668/7 = 0.
-1167, -2/33
What is m in 2*m**2/11 - 19684*m/11 + 48432482/11 = 0?
4921
Factor -m**3/7 - 41*m**2/7 + 86*m/7.
-m*(m - 2)*(m + 43)/7
What is k in 3*k**5/5 - 1239*k**4/5 - 11313*k**3/5 - 34101*k**2/5 - 34182*k/5 = 0?
-3, 0, 422
Factor 3*m**2/5 - 55908*m/5 + 260475372/5.
3*(m - 9318)**2/5
Find n, given that -n**5 + 43*n**4/3 + 3184*n**3 + 14600*n**2 + 62192*n/3 + 8272 = 0.
-47, -2, -2/3, 66
Suppose -4*p**3/13 - 554*p**2/13 - 20856*p/13 - 8712 = 0. Calculate p.
-66, -13/2
Solve 4*v**3 + 12640*v**2 - 37956*v = 0 for v.
-3163, 0, 3
Determine b so that -2*b**3/11 - 58*b**2/11 + 306*b/11 + 126 = 0.
-33, -3, 7
Factor 3*k**4/5 + 432*k**3 + 323616*k**2/5 - 4693248*k + 354079488/5.
3*(k - 28)**2*(k + 388)**2/5
Factor -2*a**2 - 5874*a.
-2*a*(a + 2937)
Let -28*m**3/3 + 484*m**2/3 + 72104*m/3 - 6880 = 0. Calculate m.
-43, 2/7, 60
Factor 3*s**3/5 - 12744*s*