Calculate w.
5, 884/19
Determine w so that 3*w**5 + 124*w**4 + 497*w**3 + 596*w**2 + 148*w = 0.
-37, -2, -1/3, 0
Suppose -2*p**2/11 - 4662*p/11 - 13968/11 = 0. Calculate p.
-2328, -3
Let -3*j**3/8 + 4357*j**2/4 - 31917*j/8 + 8703/4 = 0. Calculate j.
2/3, 3, 2901
Factor -d**3/3 - 446*d**2/3 - 49729*d/3.
-d*(d + 223)**2/3
Factor 2*x**2/11 - 590*x/11 - 51100/11.
2*(x - 365)*(x + 70)/11
Factor c**4 - 221*c**3 - 2986*c**2 - 13024*c - 18720.
(c - 234)*(c + 4)**2*(c + 5)
Suppose 4*p**3 - 29188*p**2 + 29184*p = 0. Calculate p.
0, 1, 7296
Find j, given that 35*j**4 + 321*j**3 - 821*j**2 - 1305*j - 198 = 0.
-11, -1, -6/35, 3
Factor 4*c**2 + 601960*c - 601964.
4*(c - 1)*(c + 150491)
What is p in 5*p**2 + 5425*p + 378750 = 0?
-1010, -75
Solve 10*y**2/13 - 368*y/13 + 256 = 0.
16, 104/5
Suppose 2*i**2 + 336*i + 10240 = 0. Calculate i.
-128, -40
Factor -3*x**2/7 + 21201*x/7 + 21222.
-3*(x - 7074)*(x + 7)/7
Solve -50*q**3 - 96*q**2 + 8*q = 0.
-2, 0, 2/25
Suppose -2*o**2 - 3112*o - 141846 = 0. Calculate o.
-1509, -47
Find g such that -4*g**3/7 + 2208*g**2/7 - 247572*g/7 + 7884216/7 = 0.
69, 414
Suppose -3*x**4/5 + 10467*x**3/5 + 73398*x**2/5 + 62928*x/5 = 0. Calculate x.
-6, -1, 0, 3496
Factor -4*k**3 + 280*k**2 - 672*k - 25344.
-4*(k - 66)*(k - 12)*(k + 8)
Solve z**2 - 295*z + 16206 = 0.
73, 222
Factor 3*y**3 + 178701*y**2 - 536124*y + 357420.
3*(y - 2)*(y - 1)*(y + 59570)
Factor b**5 - 13*b**4 - 213*b**3 + 5*b**2 + 6400*b + 16500.
(b - 22)*(b - 6)*(b + 5)**3
Factor 2*l**2/7 - 47354*l/7 - 142080/7.
2*(l - 23680)*(l + 3)/7
Let v**3/6 + 51*v**2 + 995*v/2 + 3700/3 = 0. What is v?
-296, -5
What is w in 4*w**4/7 - 157932*w**3/7 + 789588*w**2/7 - 1105396*w/7 + 473736/7 = 0?
1, 3, 39478
What is v in 7*v**4 - 93*v**3 - 3672*v**2 + 59292*v - 69984 = 0?
-24, 9/7, 18
Let f**5 - 2*f**4 - 74*f**3 + 400*f**2 - 575*f + 250 = 0. What is f?
-10, 1, 5
Factor -4*t**3 - 3339*t**2 + 6694*t.
-t*(t - 2)*(4*t + 3347)
Suppose -1615*g**5 - 5290*g**4 + 250*g**3 + 5200*g**2 + 1365*g + 90 = 0. Calculate g.
-3, -1, -3/19, -2/17, 1
Solve g**2/12 + 138*g + 37559/12 = 0 for g.
-1633, -23
Find p such that -p**2/2 - 232627*p/3 - 155084/3 = 0.
-155084, -2/3
Factor -2*b**4/17 + 616902*b**3/17 - 63428012934*b**2/17 + 2173826001945026*b/17.
-2*b*(b - 102817)**3/17
Factor 9747*h**3/2 - 14934*h**2 - 51520*h/3 - 12800/3.
(h - 4)*(171*h + 80)**2/6
Find v such that 2*v**3/3 - 2896*v**2 - 6*v + 26064 = 0.
-3, 3, 4344
Factor i**2 + 15680*i.
i*(i + 15680)
Factor 3*p**2/2 - 24720*p + 101846400.
3*(p - 8240)**2/2
Let 5*i**3 + 11765*i**2 + 58730*i + 70440 = 0. Calculate i.
-2348, -3, -2
What is w in -3*w**5 + 384*w**4 - 8046*w**3 - 296088*w**2 + 303753*w = 0?
-19, 0, 1, 73
Suppose -18*k**3/17 - 308*k**2/17 + 4160*k/17 = 0. What is k?
-26, 0, 80/9
Let b**3/3 - 1118*b**2/3 + 3347*b/3 - 2230/3 = 0. What is b?
1, 2, 1115
Factor -3*n**3/5 + 3744*n**2/5 + 169092*n/5 + 1875984/5.
-3*(n - 1292)*(n + 22)**2/5
Factor 2*f**3/13 + 34*f**2/13 + 28*f/13 - 784/13.
2*(f - 4)*(f + 7)*(f + 14)/13
What is u in -3*u**5/4 - u**4/4 + 9*u**3/4 + 9*u**2/4 + u/2 = 0?
-1, -1/3, 0, 2
Suppose 2*u**3 - 1116*u**2 + 152958*u - 151844 = 0. What is u?
1, 238, 319
Suppose 82*l**3 - 1992*l**2 - 6066*l + 1944 = 0. What is l?
-3, 12/41, 27
Find v, given that -234*v**4 - 332*v**3 - 80*v**2 = 0.
-10/9, -4/13, 0
Let -5*q**3 + 44145*q**2 + 88305*q + 44155 = 0. What is q?
-1, 8831
Factor -4*t**3 + 3352*t**2 - 96836*t - 100192.
-4*(t - 808)*(t - 31)*(t + 1)
Factor v**2/2 + 895*v/2 + 99975.
(v + 430)*(v + 465)/2
Factor 3*w**4 + 219*w**3 + 2610*w**2.
3*w**2*(w + 15)*(w + 58)
What is u in 3*u**2/2 + 231*u + 10287/2 = 0?
-127, -27
Factor -q**3/2 - 543*q**2/2 - 811*q - 540.
-(q + 1)*(q + 2)*(q + 540)/2
Solve 2*w**4 - 2362*w**3 - 9470*w**2 - 11846*w - 4740 = 0 for w.
-2, -1, 1185
Let 3*m**4/4 - 7965*m**3/4 + 7171857*m**2/4 - 2294934279*m/4 + 23624456724 = 0. Calculate m.
48, 869
Factor 11*w**2 - 758*w + 12600.
(w - 28)*(11*w - 450)
Let 21*y**4 - 51981*y**3 - 1457523*y**2 + 1945005*y - 435522 = 0. What is y?
-29, 2/7, 1, 2503
Determine n, given that -n**4/7 + 50*n**3/7 + 107*n**2/7 - 156*n/7 = 0.
-3, 0, 1, 52
What is p in -1539*p**5 + 426213*p**4/2 - 7427254*p**3 + 6924637*p**2/2 - 447810*p + 9522 = 0?
1/38, 2/9, 69
Factor -4*s**4/5 + 1331*s**3/5 - 2317*s**2/5.
-s**2*(s - 331)*(4*s - 7)/5
Determine q so that 21*q**4/2 - 731*q**3/2 + 266*q**2 + 778*q + 136 = 0.
-1, -4/21, 2, 34
Factor -q**4/2 + 4*q**3 + 31*q**2/2 + 11*q.
-q*(q - 11)*(q + 1)*(q + 2)/2
Factor 5*n**2/4 - 815*n/4 - 205.
5*(n - 164)*(n + 1)/4
What is l in -2*l**2 + 15164*l - 15162 = 0?
1, 7581
Solve -3*a**5/4 - 153*a**4/4 + 183*a**3/2 + 1269*a**2/2 - 363*a/4 - 2385/4 = 0.
-53, -3, -1, 1, 5
Suppose 38*h**5/13 + 3530*h**4/13 + 2722*h**3 + 9190*h**2 + 127248*h/13 - 14760/13 = 0. Calculate h.
-82, -5, -3, 2/19
Factor -21*z**4 - 1989012*z**3 - 47098099281*z**2 - 40368338082*z.
-3*z*(z + 47357)**2*(7*z + 6)
Factor -2*z**2 - 340608*z - 14501726208.
-2*(z + 85152)**2
Factor -j**3/7 - 492*j**2 + 1477*j - 6894/7.
-(j - 2)*(j - 1)*(j + 3447)/7
Factor 5*s**2 + 775940*s + 30104144180.
5*(s + 77594)**2
Suppose -680805*x**3 + 4750875*x**2 + 103240*x + 560 = 0. What is x?
-4/369, 7
What is c in 2*c**2/15 + 9428*c/15 - 6288/5 = 0?
-4716, 2
Factor q**4/10 - 11*q**3/2 + 411*q**2/5 - 1836*q/5.
q*(q - 34)*(q - 12)*(q - 9)/10
Find o such that -3*o**4 + 74*o**3 + 919*o**2 + 1114*o + 272 = 0.
-8, -1, -1/3, 34
Let 3*t**5 + 178*t**4 + 402*t**3 + 168*t**2 - 173*t - 114 = 0. Calculate t.
-57, -1, 2/3
Factor 2*k**2/13 - 2614132*k/13 + 854210764178/13.
2*(k - 653533)**2/13
Suppose a**5 - 182*a**4 - a**3 + 182*a**2 = 0. Calculate a.
-1, 0, 1, 182
Let 6*l**2 + 24140*l - 16096 = 0. What is l?
-4024, 2/3
What is y in 2*y**3/7 - 21006*y**2/7 = 0?
0, 10503
Find u, given that -10*u**2 - 521*u - 52 = 0.
-52, -1/10
Factor 27*f**2 - 81025*f - 6002.
(f - 3001)*(27*f + 2)
What is x in 1683*x**2/2 + 3372*x + 24 = 0?
-4, -4/561
Let -5*v**4 + 586*v**3 + 17513*v**2 + 13514*v - 3408 = 0. Calculate v.
-24, -1, 1/5, 142
Factor -3*t**4 - 15426*t**3 - 19937811*t**2 - 276865848*t - 966392112.
-3*(t + 7)**2*(t + 2564)**2
Factor 4*n**2/5 - 692404*n/5.
4*n*(n - 173101)/5
Let -4*m**4 - 2480*m**3 - 59852*m**2 - 209776*m - 199920 = 0. What is m?
-595, -21, -2
Let 2*p**2/5 + 45824*p/5 + 262479872/5 = 0. Calculate p.
-11456
Solve 4*w**4/9 - 32*w**3/9 - 28*w**2/3 + 32*w/9 + 80/9 = 0.
-2, -1, 1, 10
Let -5*j**3 - 160*j**2 + 7835*j - 7670 = 0. What is j?
-59, 1, 26
Determine y, given that -10*y**5/9 + 2816*y**4/9 - 212042*y**3/9 + 4959652*y**2/9 - 2413864*y/3 - 411536 = 0.
-2/5, 2, 51, 178
Suppose 3481*b**5/4 - 23305*b**4/2 + 127233*b**3/4 + 22761*b**2 + 3645*b = 0. Calculate b.
-18/59, 0, 5, 9
Let -3*v**5 - 55*v**4 - 234*v**3 + 318*v**2 + 2605*v + 825 = 0. What is v?
-11, -5, -1/3, 3
Let 5*o**4 + 515*o**3 + 7220*o**2 + 22860*o + 20880 = 0. What is o?
-87, -12, -2
Factor -s**2/2 - 3362*s + 6725/2.
-(s - 1)*(s + 6725)/2
Factor m**4 + 225*m**3 + 8894*m**2 + 93408*m - 102528.
(m - 1)*(m + 24)**2*(m + 178)
Solve -g**3 - 23*g**2 + 505*g + 2975 = 0 for g.
-35, -5, 17
Factor -3*u**2/2 - 15246*u - 38740086.
-3*(u + 5082)**2/2
Determine y so that -2*y**2/5 + 672608*y/5 - 672606/5 = 0.
1, 336303
Factor -2*y**3/15 - 678*y**2/5 - 34544*y - 516128/15.
-2*(y + 1)*(y + 508)**2/15
Factor -3*s**3 + 363*s**2 + 4959*s - 1203471.
-3*(s - 87)**2*(s + 53)
Let -3*v**2/2 - 10371*v/2 - 20718 = 0. What is v?
-3453, -4
Suppose -4*b**4 - 297*b**3 - 94*b**2 + 59067*b + 14768 = 0. Calculate b.
-71, -16, -1/4, 13
Find d such that -2866*d**3/7 + 40*d**2/7 = 0.
0, 20/1433
Factor -19432*a**2 - 38868*a - 8.
-4*(a + 2)*(4858*a + 1)
Find b, given that -b**2/4 + 6405*b - 25619/4 = 0.
1, 25619
Factor -r**3/5 + 3398*r**2/5 - 13571*r/5 - 3394.
-(r - 3394)*(r - 5)*(r + 1)/5
Factor 4*y**2/5 - 1288*y/5 - 9996.
4*(y - 357)*(y + 35)/5
Suppose -5*i**5 + 140*i**4 - 1335*i**3 + 5220*i**2 - 7020*i = 0. What is i?
0, 3, 6, 13
Factor -2*d**3/13 + 77868*d**2/13 - 757928178*d/13.
-2*d*(d - 19467)**2/13
Factor -2860*r**2 + 1685*r + 345.
-5*(4*r - 3)*(143*r + 23)
Factor -2*p**3 + 23496*p**2 - 1450986*p + 22460492.
-2*(p - 11686)*(p - 31)**2
Factor -2*n**2/3 + 41786*n/3 - 13928.
-2*(n - 20892)*(n - 1)/3
Suppose 3*r**4 + 22590*r**3 - 9*r**2 - 67776*r - 45180 = 0. What is r?
-7530, -1, 2
Factor 3*w**2 + 14958*w 