3
Find f, given that 4*f**3 + 9358116*f**2 + 18716220*f + 9358108 = 0.
-2339527, -1
Factor -q**2/5 - 3431758*q/5 - 2944240742641/5.
-(q + 1715879)**2/5
Find i such that -4*i**5 - 712*i**4 - 18764*i**3 + 1919512*i**2 + 66298368*i - 68198400 = 0.
-96, -37, 1, 50
Factor 2*k**3 + 93378*k**2 + 1096114464*k + 144136165544.
2*(k + 133)*(k + 23278)**2
Determine j so that 5*j**3 - 1699350*j**2 + 10195965*j - 15293880 = 0.
3, 339864
Factor 2*r**2 - 289930*r - 2899500.
2*(r - 144975)*(r + 10)
Factor 2*j**3 - 3882116*j**2 + 1883853079682*j.
2*j*(j - 970529)**2
Factor -177045276741218*k**2 - 75269176*k - 8.
-2*(9408647*k + 2)**2
What is a in -5*a**2 + 376415*a - 3011000 = 0?
8, 75275
Suppose -16384*j**4/5 + 2670848*j**3/5 - 5317377*j**2/5 + 16519*j - 322/5 = 0. What is j?
1/128, 2, 161
Find t such that -2*t**5/17 - 152*t**4/17 + 21240*t**3/17 - 434780*t**2/17 - 54934*t - 477708/17 = 0.
-154, -1, 33, 47
Factor 196*y**2 - 120412*y + 14930760.
4*(y - 442)*(49*y - 8445)
Factor -3*y**2 - 701619*y + 113741010.
-3*(y - 162)*(y + 234035)
Factor -4*a**2/5 - 23272*a/5 - 22932708/5.
-4*(a + 1257)*(a + 4561)/5
Solve -2*a**4 + 34534*a**3 - 137216*a**2 - 15327816*a - 29830464 = 0 for a.
-18, -2, 24, 17263
Determine y, given that 2*y**4 - 608*y**3 + 9294*y**2 - 22464*y = 0.
0, 3, 13, 288
Find f such that 4*f**4 + 9272*f**3 + 2519668*f**2 + 184040400*f + 181530000 = 0.
-2017, -150, -1
Determine s, given that -4*s**5 - 980460*s**4 - 38233124*s**3 - 310751412*s**2 + 1214593128*s - 864628128 = 0.
-245076, -21, 1, 2
Factor 2*y**2/3 - 157280438*y/3 + 52426812.
2*(y - 78640218)*(y - 1)/3
Solve -f**5/5 + 38946*f**4 + 1168427*f**3/5 - 2142036*f**2/5 - 2336852*f + 3894720 = 0 for f.
-5, 2, 194736
Factor 2*y**2/7 + 421352*y/7 + 109836630/7.
2*(y + 261)*(y + 210415)/7
Suppose 3*t**2/4 - 117776007*t/2 + 4623729274954683/4 = 0. What is t?
39258669
Factor -3*z**5 + 405*z**4 - 18978*z**3 + 340302*z**2 - 1514331*z + 1192605.
-3*(z - 43)**3*(z - 5)*(z - 1)
Determine n, given that -n**5/8 - 4191*n**4/8 - 725989*n**3/8 - 717609*n**2/8 + 362995*n/4 + 90225 = 0.
-4010, -180, -1, 1
Determine x, given that x**3 - 863611*x**2 + 186447785255*x + 3542819690275 = 0.
-19, 431815
Solve 2*p**2/3 + 5422*p/3 + 1187632 = 0 for p.
-1592, -1119
Factor 4*j**2 - 563472*j - 27619732.
4*(j - 140917)*(j + 49)
Find v such that -2*v**2 - 1821331*v - 910665 = 0.
-910665, -1/2
Determine k, given that -k**2 + 59768778*k - 59768777 = 0.
1, 59768777
Determine m so that 24*m**5/7 + 11026*m**4/7 + 168890*m**3/7 + 909450*m**2/7 + 1865750*m/7 + 887500/7 = 0.
-1775/4, -5, -2/3
Factor 4*m**2/7 + 909929*m/7 + 2047320/7.
(m + 227480)*(4*m + 9)/7
Solve n**2/3 + 5000908*n/3 + 6252270206116/3 = 0 for n.
-2500454
Let m**3/4 - 1739*m**2/4 + 91715*m/4 - 1221625/4 = 0. What is m?
25, 29, 1685
Find t, given that -5*t**2 + 197504220*t - 1950395845890420 = 0.
19750422
Solve p**5/2 + 277*p**4/2 + 5947*p**3 + 61744*p**2 = 0 for p.
-227, -34, -16, 0
Suppose 2*a**2 - 3204*a + 551152 = 0. Calculate a.
196, 1406
Determine k so that 380*k**3 - 586725*k**2 + 594060*k - 7715 = 0.
1/76, 1, 1543
Determine x so that 5*x**4 - 23220*x**3 - 6264890*x**2 - 414195780*x - 407954115 = 0.
-129, -1, 4903
Factor b**2/7 - 16523768*b/7 + 68258727229456/7.
(b - 8261884)**2/7
Suppose 5*f**2 - 327385*f + 29424150 = 0. What is f?
90, 65387
Determine w, given that -3*w**5/4 + 175843*w**4/4 - 2576935197*w**3/4 + 6012184513*w**2/4 - 1073566698*w + 214710409 = 0.
1/3, 1, 29306
Factor 5*u**2 + 3875*u + 545750.
5*(u + 185)*(u + 590)
Factor j**3 - 97504*j**2 - 7414636*j - 140905520.
(j - 97580)*(j + 38)**2
Let -4*a**2 + 2326448*a + 2326452 = 0. Calculate a.
-1, 581613
Let 7*d**5/4 - 25793*d**4/4 - 526217*d**3/4 + 396393*d**2/4 + 77805*d/2 = 0. Calculate d.
-21, -2/7, 0, 1, 3705
Factor -3*l**2/2 + 257411325*l - 22086863412751875/2.
-3*(l - 85803775)**2/2
Let 25*o**5 - 88260*o**4 + 5947825*o**3 - 96210510*o**2 - 174509300*o + 84819000 = 0. What is o?
-2, 2/5, 35, 3462
Determine u, given that 82*u**4/19 - 3891532*u**3/19 + 46142974224*u**2/19 + 660286149120*u/19 + 189301625856/19 = 0.
-14, -12/41, 23736
Find r such that 5*r**2 - 15835*r - 79300 = 0.
-5, 3172
Let 4*g**4 + 1152*g**3 - 2047112*g**2 - 306728064*g + 283571160196 = 0. What is g?
-593, 449
Let -4*f**3 + 637472*f**2 + 2549936*f + 2549952 = 0. What is f?
-2, 159372
Suppose 3*f**2 + 12066756*f + 36200241 = 0. What is f?
-4022249, -3
Find u, given that u**3 + 295179*u**2 - 5018316*u + 4723136 = 0.
-295196, 1, 16
Determine o so that 33*o**3/2 + 1053*o**2/2 + 2976*o + 2466 = 0.
-274/11, -6, -1
Suppose 4*z**4 + 2384*z**3 + 154000*z**2 - 7500288*z = 0. What is z?
-514, -114, 0, 32
Factor -2*v**3/13 + 1065400*v**2/13 + 6392472*v/13.
-2*v*(v - 532706)*(v + 6)/13
Find t, given that -4*t**3 + 686960*t**2 + 1373932*t + 686968 = 0.
-1, 171742
Find y such that 41*y**5/9 - 793*y**4/9 - 3629*y**3/9 + 90505*y**2/9 + 20600*y/3 - 3500 = 0.
-10, -1, 14/41, 15
Determine y, given that 3*y**5 + 99129*y**4 - 495738*y**3 - 594864*y**2 = 0.
-33048, -1, 0, 6
Solve -3*i**3 + 135668160*i**2 = 0.
0, 45222720
Factor b**2/8 - 1449599*b/4 + 2101337260801/8.
(b - 1449599)**2/8
Factor -15*y**2 + 586767*y - 1056132.
-3*(y - 39116)*(5*y - 9)
Find w such that 63*w**4 - 33594*w**3 - 161223*w**2 - 95286*w + 32280 = 0.
-4, -1, 5/21, 538
Factor -24*x**4 + 44756*x**3 - 534768*x**2 + 2136000*x - 2845952.
-4*(x - 4)**3*(6*x - 11117)
Solve 2*r**4/3 - 48874*r**3/3 - 1584932*r**2 - 39252864*r - 37684224 = 0 for r.
-48, -1, 24534
Factor q**2 + 6697*q + 7858060.
(q + 1517)*(q + 5180)
Determine d so that 4*d**2 + 111518*d/7 - 358740/7 = 0.
-3986, 45/14
Find k such that 2*k**4/5 - 5802*k**3/5 + 3125898*k**2/5 + 1654016922*k/5 + 1962062676 = 0.
-315, -6, 1611
What is d in -5*d**3/3 + 15565*d**2/3 - 1197620*d/3 - 819180 = 0?
-2, 81, 3034
Determine v so that v**2 - 4662128*v + 9324252 = 0.
2, 4662126
Find p such that -65*p**2 + 27660*p - 476820 = 0.
18, 5298/13
Determine p so that 3*p**3 + 6867*p**2 - 208467*p + 563517 = 0.
-2319, 3, 27
What is i in 2*i**4/3 + 27812*i**3 - 139082*i**2 - 667544*i/3 + 333784 = 0?
-41723, -2, 1, 6
Suppose -2*i**5/5 + 7042*i**4 + 2*i**3 - 35210*i**2 - 8*i/5 + 28168 = 0. What is i?
-2, -1, 1, 2, 17605
Factor 2*m**3/17 + 68040*m**2 + 167242047786*m/17 + 1003410646668/17.
2*(m + 6)*(m + 289167)**2/17
Factor l**3/2 + 11521*l**2/2 + 74802*l.
l*(l + 13)*(l + 11508)/2
Find u such that 3*u**5/7 + 3690*u**4/7 - 105621*u**3/7 + 66888*u**2/7 + 490620*u = 0.
-1258, -5, 0, 7, 26
Find u, given that 2*u**2 - 117726342*u - 117726344 = 0.
-1, 58863172
What is l in -l**5 + 19802*l**4 - 158319*l**3 - 653342*l**2 + 2771260*l - 1979400 = 0?
-5, 1, 2, 10, 19794
What is r in r**4/8 - 6395*r**3/8 + 159393*r**2/8 - 910741*r/8 - 538265/4 = 0?
-1, 13, 6370
Factor -2*d**3/19 - 13714*d**2/19 + 5042730*d/19 - 451826838/19.
-2*(d - 177)**2*(d + 7211)/19
Solve s**5/2 + 523*s**4/3 + 39997*s**3/3 - 6034*s**2 - 240063*s/2 + 40185 = 0 for s.
-235, -114, -3, 1/3, 3
Suppose 4*k**3 - 38396620*k**2 - 76793252*k - 38396628 = 0. Calculate k.
-1, 9599157
Suppose -2*t**5 + 5824*t**4 + 351072*t**3 - 1468300*t**2 + 1860098*t - 748692 = 0. Calculate t.
-63, 1, 2, 2971
Suppose 1715*a**4 + 1723085*a**3 - 12614595*a**2 + 30684575*a - 24859780 = 0. What is a?
-1012, 17/7
Find j, given that 3*j**5 + 105*j**4 + 24*j**3 - 2580*j**2 + 2448*j = 0.
-34, -6, 0, 1, 4
Let -2*g**2 + 5253832*g - 47284326 = 0. Calculate g.
9, 2626907
What is y in -4*y**4 + 15339388*y**3 - 92036232*y**2 + 184072400*y - 122714912 = 0?
2, 3834841
Factor 5*k**2 + 12598980*k + 7936714852020.
5*(k + 1259898)**2
Solve -3*m**4 - 1764*m**3 + 9465*m**2 + 93603150*m - 187230000 = 0 for m.
-395, 2, 200
Let z**4/3 - 22049*z**3/3 - 14361211*z**2 - 20217934751*z/3 - 20174873168/3 = 0. What is z?
-919, -1, 23888
Suppose -2*u**3/7 - 156*u**2/7 + 5150*u/7 = 0. What is u?
-103, 0, 25
Find y such that y**4 + 209250*y**3 - 8580931*y**2 = 0.
-209291, 0, 41
What is k in 2*k**2/9 + 22407544*k/9 + 62762253513992/9 = 0?
-5601886
Determine g so that -2*g**5 - 784*g**4 - 12726*g**3 + 9440*g**2 + 165544*g + 204000 = 0.
-375, -17, -2, 4
Factor -q**3/4 + 341123*q**2/2 - 29101626743*q + 3547860279242.
-(q - 341062)**2*(q - 122)/4
Suppose 5*g**4 - 31935*g**3 - 479835*g**2 - 2016225*g - 2592810 = 0. What is g?
-9, -3, 6402
Find g such that 2*g**