r 4*s**2 - 8104*s + 8100.
4*(s - 2025)*(s - 1)
Determine z, given that -5*z**4 - 660*z**3 - 20330*z**2 + 660*z + 20335 = 0.
-83, -49, -1, 1
Determine p, given that 35*p**5 - 1985*p**4 + 17805*p**3 + 29785*p**2 - 33940*p - 11700 = 0.
-2, -2/7, 1, 13, 45
Let -2*q**2/3 + 1072*q/3 + 2534 = 0. Calculate q.
-7, 543
Let 3*r**3 + 4971*r**2 + 117501*r - 122475 = 0. Calculate r.
-1633, -25, 1
Factor -g**2 - 882244*g - 194588618884.
-(g + 441122)**2
Suppose f**5 + 916*f**4 + 12661*f**3 + 29654*f**2 - 100960*f + 57728 = 0. Calculate f.
-902, -8, 1
Factor -4*v**2/7 + 8132*v/7 - 365608/7.
-4*(v - 1987)*(v - 46)/7
Factor -h**2 - 894*h.
-h*(h + 894)
Factor 3*n**4 - 58506*n**3 + 284308371*n**2 + 9142849632*n + 73262813952.
3*(n - 9767)**2*(n + 16)**2
Factor -2*n**4/3 + 4*n**3 + 10*n**2 + 16*n/3.
-2*n*(n - 8)*(n + 1)**2/3
Factor 2*t**4 - 698*t**3 + 58404*t**2 + 436456*t + 633680.
2*(t - 178)**2*(t + 2)*(t + 5)
What is m in 2*m**2 + 209616*m + 5492358432 = 0?
-52404
Suppose 3*p**2 + 57084*p + 342396 = 0. What is p?
-19022, -6
Factor -3*c**2/4 - 213*c + 88695/4.
-3*(c - 81)*(c + 365)/4
Suppose -856*f**4 - 7740*f**3 - 20868*f**2 - 14560*f - 576 = 0. What is f?
-4, -1, -9/214
Let g**5 + 700*g**4 - 2822*g**3 - 4220*g**2 + 2821*g + 3520 = 0. Calculate g.
-704, -1, 1, 5
Factor 4*u**2/7 + 3032*u + 422880/7.
4*(u + 20)*(u + 5286)/7
Determine g so that -g**4/10 + 13*g**3/2 - 318*g**2/5 = 0.
0, 12, 53
Suppose 2*h**3/9 - 160*h**2/9 - 398*h/3 - 232 = 0. What is h?
-4, -3, 87
Factor 3*o**3/5 - 24816*o**2 - 496356*o/5 - 496368/5.
3*(o - 41364)*(o + 2)**2/5
Factor -4*x**4 + 56*x**3 + 2748*x**2 - 20608*x - 541696.
-4*(x - 23)**2*(x + 16)**2
Let -175*r**5 - 590*r**4 - 100*r**3 + 270*r**2 - 45*r = 0. What is r?
-3, -1, 0, 1/5, 3/7
Solve -25*x**3 - 90715*x**2 - 82319320*x - 49358940 = 0 for x.
-1814, -3/5
What is w in -2*w**4 + 3220*w**3 + 25888*w**2 = 0?
-8, 0, 1618
What is l in -2*l**4/13 - 3190*l**3/13 - 1264008*l**2/13 + 6387200*l/13 - 5120000/13 = 0?
-800, 1, 4
Solve -o**2/4 + 1309*o/4 - 15435 = 0 for o.
49, 1260
What is h in 4*h**2 - 12240*h - 98176 = 0?
-8, 3068
Let 2*b**2 - 264*b - 52538 = 0. Calculate b.
-109, 241
Suppose c**2/4 + 17615*c/2 + 310288225/4 = 0. Calculate c.
-17615
Let 2*a**3 + 234*a**2/5 + 284*a/5 - 528/5 = 0. Calculate a.
-22, -12/5, 1
Factor 3*n**4 - 288228*n**3 - 576465*n**2 - 288234*n.
3*n*(n - 96078)*(n + 1)**2
Solve -2*d**4/3 - 1954*d**3/3 - 116602*d**2/3 + 239074*d/3 - 40172 = 0.
-913, -66, 1
Solve 2*d**2/3 - 252880*d/3 + 7993536800/3 = 0.
63220
Let -45*t**5/4 + 2697*t**4/4 - 24507*t**3/4 + 19323*t**2/4 + 2838*t - 2205 = 0. What is t?
-2/3, 3/5, 1, 10, 49
Find x, given that -4*x**5 - 8936*x**4 - 4981796*x**3 + 10026224*x**2 + 14999088*x = 0.
-1118, -1, 0, 3
Factor -4*x**2/3 - 80*x/3 + 6400.
-4*(x - 60)*(x + 80)/3
Suppose 5*o**5 - 7155*o**4 - 72390*o**3 + 490450*o**2 - 735135*o + 324225 = 0. What is o?
-15, 1, 3, 1441
Factor 2*p**2/7 - 39234*p/7 - 78476/7.
2*(p - 19619)*(p + 2)/7
Factor -2*u**5/3 - 94216*u**4/3 - 493137012*u**3 - 7742744162600*u**2/3 + 7744223667854*u/3.
-2*u*(u - 1)*(u + 15703)**3/3
Solve 7*q**5 + 57062*q**4 - 187538*q**3 + 220172*q**2 - 106013*q + 16310 = 0 for q.
-8155, 2/7, 1
Find v, given that 25*v**5 + 1070*v**4 + 5335*v**3 - 1110*v**2 = 0.
-37, -6, 0, 1/5
Suppose -4*a**2 + 300*a - 5600 = 0. Calculate a.
35, 40
Factor -2*p**2/5 + 19524*p/5 - 47648322/5.
-2*(p - 4881)**2/5
Factor -140560*i**2 - 4*i.
-4*i*(35140*i + 1)
Determine v so that 5*v**5 + 205*v**4 + 3090*v**3 + 21770*v**2 + 71785*v + 87465 = 0.
-17, -7, -3
Factor 3*w**2/5 - 18456*w/5 - 36924/5.
3*(w - 6154)*(w + 2)/5
Factor 3*a**2 - 453*a - 7470.
3*(a - 166)*(a + 15)
Solve n**3/2 - 2041*n**2/2 + 573580*n - 52505224 = 0 for n.
113, 964
Factor 5*k**2 + 2970*k + 373765.
5*(k + 181)*(k + 413)
Find v such that -2*v**3/9 - 27188*v**2/3 + 18126*v - 81568/9 = 0.
-40784, 1
Suppose 3*d**4 + 135*d**3 - 73149*d**2 - 5590215*d + 11471898 = 0. Calculate d.
-107, 2, 167
Factor -8214*q**3/7 - 518*q**2 + 11842*q/21 - 1922/21.
-2*(q + 1)*(111*q - 31)**2/21
Factor -3*t**4 + 2526*t**3 + 3*t**2 - 2526*t.
-3*t*(t - 842)*(t - 1)*(t + 1)
Solve -2*j**2/7 + 71872*j/7 - 645698048/7 = 0 for j.
17968
Factor 1690*i**2 + 5772*i + 24642/5.
2*(65*i + 111)**2/5
Factor 3*m**4 + 30216*m**3 - 90675*m**2.
3*m**2*(m - 3)*(m + 10075)
Factor 2*a**3/3 - 146*a**2 + 7348*a/3 - 7504.
2*(a - 201)*(a - 14)*(a - 4)/3
Factor x**3/4 + 453*x**2/4 - 4641*x/4 - 5093/4.
(x - 11)*(x + 1)*(x + 463)/4
Factor u**3 - 3082*u**2 + 2496000*u - 184500000.
(u - 1500)**2*(u - 82)
Suppose -4*l**2 + 486*l + 244 = 0. What is l?
-1/2, 122
Solve -i**4 + 2393*i**3 - 7172*i**2 + 4780*i = 0 for i.
0, 1, 2, 2390
Determine j, given that 2*j**5/11 - 202*j**4/11 - 118*j**3 + 1498*j**2/11 = 0.
-7, 0, 1, 107
Factor -2*l**4/5 + 8*l**3 + 42*l**2/5.
-2*l**2*(l - 21)*(l + 1)/5
Factor 4*v**3 + 24508*v**2 - 98080*v + 98096.
4*(v - 2)**2*(v + 6131)
What is t in -5*t**5 + 500*t**4 + 7240*t**3 - 1181920*t**2 - 4798160*t - 4818880 = 0?
-44, -2, 74
Factor -2*u**4 - 110*u**3 + 1196*u**2 + 2816*u.
-2*u*(u - 11)*(u + 2)*(u + 64)
Determine y so that -4*y**2/3 - 9213968*y/3 - 5306075394064/3 = 0.
-1151746
Factor -28*z**3 + 26448*z**2 + 37872*z - 30272.
-4*(z - 946)*(z + 2)*(7*z - 4)
Factor x**5/4 - 9*x**4/4 - 141*x**3/4 - 359*x**2/4 - 84*x - 27.
(x - 18)*(x + 1)**3*(x + 6)/4
Suppose -j**3 + 170*j**2/3 + 591*j = 0. What is j?
-9, 0, 197/3
Find v such that 2*v**4 + 46*v**3 - 806*v**2 + 1250*v + 2100 = 0.
-35, -1, 3, 10
Determine v so that 182*v**3/3 + 1096*v**2/3 + 934*v/3 + 20/3 = 0.
-5, -1, -2/91
Solve 14*x**3/3 - 1226*x**2 - 405016*x - 346856/3 = 0 for x.
-191, -2/7, 454
Factor 3*l**5 + 916410*l**4 + 69983024256*l**3 - 139969714176*l**2.
3*l**2*(l - 2)*(l + 152736)**2
Factor -2*k**3/7 + 70348*k**2/7 - 88362112*k - 1237350976/7.
-2*(k - 17588)**2*(k + 2)/7
Factor -405*m**4 - 822330*m**3 - 417606545*m**2 - 185481100*m - 20604500.
-5*(m + 1015)**2*(9*m + 2)**2
Factor 4*j**2 + 3056*j + 33132.
4*(j + 11)*(j + 753)
Factor 5*a**4 - 30*a**3 - 200*a**2.
5*a**2*(a - 10)*(a + 4)
Find h, given that 172712164*h**2 - 5992752*h + 51984 = 0.
114/6571
Factor b**3/6 - 211*b**2/6 - 107*b/3 + 212/3.
(b - 212)*(b - 1)*(b + 2)/6
Let 3*y**5/4 - 45*y**4/4 - 369*y**3/4 - 267*y**2/4 + 783*y/2 + 378 = 0. Calculate y.
-4, -3, -1, 2, 21
What is z in z**5/10 - 33*z**4/5 + 463*z**3/5 + 204*z**2/5 - 30087*z/10 - 31671/5 = 0?
-3, 9, 17, 46
Factor -d**2/2 - 145*d + 3768.
-(d - 24)*(d + 314)/2
What is j in -3*j**2 + 732*j + 3735 = 0?
-5, 249
Let 2*s**3 + 140212*s**2 + 2457565824*s + 4914570816 = 0. Calculate s.
-35052, -2
Factor -o**2/3 + 2100076*o/3 - 1102579801444/3.
-(o - 1050038)**2/3
Factor 3*l**5 - 1671*l**4 + 1668*l**3.
3*l**3*(l - 556)*(l - 1)
Factor 5*j**3/4 - 1995*j**2/4 - 24260*j - 46515.
5*(j - 443)*(j + 2)*(j + 42)/4
Suppose q**5/5 + 357*q**4/5 + 6857*q**3/5 + 39591*q**2/5 + 54594*q/5 = 0. Calculate q.
-337, -9, -2, 0
Solve -5*u**5 - 135*u**4 + 90*u**3 + 2590*u**2 + 4395*u + 2025 = 0.
-27, -3, -1, 5
Factor -3*y**2/2 - 95835*y/2 + 95841.
-3*(y - 2)*(y + 31947)/2
Find t such that -33*t**3 - 52497*t**2 + 9546*t = 0.
-1591, 0, 2/11
Factor 4*q**2/7 + 170516*q/7 - 682128/7.
4*(q - 4)*(q + 42633)/7
Let 2*m**5/19 - 8010*m**4/19 + 8006*m**3/19 + 8010*m**2/19 - 8008*m/19 = 0. What is m?
-1, 0, 1, 4004
Suppose -5*y**5/4 - 1005*y**4/4 - 49925*y**3/4 + 65025*y**2/4 + 344915*y/2 - 306030 = 0. What is y?
-101, -4, 2, 3
Factor 20*a**3 - 1048*a**2 + 2016*a.
4*a*(a - 2)*(5*a - 252)
Suppose 44*f**2/5 - 22456*f/5 + 97152/5 = 0. What is f?
48/11, 506
What is o in -40*o**3 - 756*o**2 + 76*o = 0?
-19, 0, 1/10
Let -d**3 + 1665*d**2 + 214293*d + 6649427 = 0. What is d?
-61, 1787
Factor -4*r**3 + 62728*r**2 - 245862384*r - 491975712.
-4*(r - 7842)**2*(r + 2)
Determine d so that 2*d**3/9 + 196*d**2/9 - 180542*d/9 - 180736/9 = 0.
-353, -1, 256
Determine z so that 20*z**3 + 2975*z**2 - 91745*z + 22750 = 0.
-175, 1/4, 26
Determine l so that -3*l**4 - 3870*l**3 + 23313*l**2 - 19440*l = 0.
-1296, 0, 1, 5
Suppose 2*l**4/3 - 3274*l**3/3 + 16262*l**2 - 68178*l + 87588 = 0. Calculate l.
3, 9, 1622
Factor d**4 + 8*d**3 - 253*d**2 - 260*d.
d*(d - 13)*(d + 1)*(d + 20)
Solve 3*b**4 + 669*b**3 + 16380*b**2 + 98196*b - 115248 = 0.
-196, -14, 1
Let -36*u**4 + 499596*u**3 + 666236*u**2 - 610684*u + 111032 = 0. What is u?
-2