4.
2*(c - 18)*(c + 10204)
Factor -2*p**4/7 - 215622*p**3/7 - 5811498048*p**2/7 + 5811713672*p/7.
-2*p*(p - 1)*(p + 53906)**2/7
Factor -i**4 + 318970*i**3 + 956916*i**2 + 956918*i + 318973.
-(i - 318973)*(i + 1)**3
Suppose -5*z**2 - 102955*z - 308820 = 0. What is z?
-20588, -3
Factor -21*p**2 + 1524*p - 3780.
-3*(p - 70)*(7*p - 18)
What is w in -2*w**2 - 3216*w - 76032 = 0?
-1584, -24
Find t such that 3*t**4/5 - 852*t**3/5 + 15057*t**2/5 + 13632*t/5 - 48336 = 0.
-4, 4, 19, 265
Let -4*z**2 + 1597992*z - 159598652004 = 0. What is z?
199749
Solve d**3 + 2534*d**2 + 1607820*d + 3205512 = 0.
-1266, -2
Factor -w**3/2 - 10322*w**2 - 103170*w.
-w*(w + 10)*(w + 20634)/2
Let -4*l**4/3 - 52*l**3 + 576*l**2 = 0. What is l?
-48, 0, 9
Factor -4*s**4 + 204*s**3 - 772*s**2 + 948*s - 376.
-4*(s - 47)*(s - 2)*(s - 1)**2
Suppose -858637*q**5/8 + 1657907*q**4/4 + 119235*q**3/2 - 1003*q**2 + 4*q = 0. What is q?
-2/13, 0, 2/257, 4
Find u, given that 2*u**4/5 + 1176*u**3/5 - 5924*u**2/5 + 3576*u/5 + 10674/5 = 0.
-593, -1, 3
Factor -x**2/7 + 255907*x/7 + 255908/7.
-(x - 255908)*(x + 1)/7
Determine f, given that f**3/5 - 63768*f**2/5 + 203305137*f + 406661290 = 0.
-2, 31885
What is j in -2*j**4 - 1988*j**3 - 479834*j**2 + 7086240*j - 6604416 = 0?
-504, 1, 13
Solve d**2/4 + 3145*d/2 + 6289/4 = 0.
-6289, -1
Factor 2*z**2/9 + 10222*z/9 + 50660.
2*(z + 45)*(z + 5066)/9
Factor -5*a**2 - 15310*a - 76425.
-5*(a + 5)*(a + 3057)
Solve -2*l**2 - 492*l + 5654 = 0.
-257, 11
Factor 2*k**2/7 - 1296*k/7.
2*k*(k - 648)/7
Factor 2*r**3/7 - 340*r**2 + 14226*r/7 - 21312/7.
2*(r - 1184)*(r - 3)**2/7
Let -4489*k**3/5 - 66799*k**2/5 + 8024*k/5 - 48 = 0. Calculate k.
-15, 4/67
Factor -d**5/6 + d**4/3 + 8*d**3 + 61*d**2/3 + 113*d/6 + 6.
-(d - 9)*(d + 1)**3*(d + 4)/6
Factor 3*p**2/4 - 195*p/2 - 1512.
3*(p - 144)*(p + 14)/4
Determine t so that -2*t**5 + 42*t**4 - 310*t**3 + 942*t**2 - 1008*t = 0.
0, 3, 7, 8
What is y in 2*y**4 - 552*y**3 + 15978*y**2 + 307580*y + 1176000 = 0?
-7, 50, 240
Factor 2*f**2 + 51584*f + 332613632.
2*(f + 12896)**2
Let 2*u**3 - 112*u**2 + 1250*u + 2964 = 0. Calculate u.
-2, 19, 39
Determine j, given that j**2/5 - 950514*j/5 + 225869216049/5 = 0.
475257
Determine n so that -200*n**4 - 955*n**3 - 1375*n**2 - 440*n + 180 = 0.
-2, -1, 9/40
Factor q**2/5 - 4296*q/5.
q*(q - 4296)/5
Determine d so that 6*d**3/11 + 1566*d**2/11 - 1170*d + 11298/11 = 0.
-269, 1, 7
Solve -4*y**5 - 1652*y**4 + 8348*y**3 - 5036*y**2 - 8344*y + 6688 = 0.
-418, -1, 1, 4
Factor -3*m**2 + 891*m + 23112.
-3*(m - 321)*(m + 24)
Factor z**2/8 - 175*z/8 - 177/4.
(z - 177)*(z + 2)/8
Solve 70*x**3 + 1564*x**2/9 + 448*x/9 - 320/9 = 0.
-2, -4/5, 20/63
Suppose 9*n**4 + 1560*n**3/7 + 513*n**2/7 = 0. What is n?
-171/7, -1/3, 0
Suppose 2*j**3 - 898*j**2 - 3010*j + 27723906 = 0. Calculate j.
-153, 301
Solve 27*a**2/2 + 2445*a + 543/2 = 0.
-181, -1/9
Find n, given that n**3/6 - 682*n**2/3 + 463757*n/6 + 466489/3 = 0.
-2, 683
Find q such that -4*q**2 + 1288*q + 31740 = 0.
-23, 345
What is t in -t**2 - 151531*t - 151530 = 0?
-151530, -1
Factor -3*x**4 - 6*x**3 + 72*x**2.
-3*x**2*(x - 4)*(x + 6)
Let 4*f**3 - 600*f**2 + 11772*f - 11176 = 0. Calculate f.
1, 22, 127
Factor 5*c**2 + 15935*c + 63660.
5*(c + 4)*(c + 3183)
Factor -2*k**2/11 - 9782*k/11.
-2*k*(k + 4891)/11
Suppose 2*g**4/15 - 94*g**3/5 + 2404*g**2/15 - 1232*g/5 = 0. What is g?
0, 2, 7, 132
What is u in -2*u**4/17 - 108*u**3/17 - 690*u**2/17 - 1528*u/17 - 1128/17 = 0?
-47, -3, -2
Let -2*k**3/9 + 24200*k**2/3 - 219663392*k/3 + 2634799232/9 = 0. Calculate k.
4, 18148
Factor 3*f**3 - 258*f**2 + 7035*f - 58800.
3*(f - 35)**2*(f - 16)
Let 22*s**2 + 5686*s - 5708 = 0. What is s?
-2854/11, 1
Factor 2*k**2/15 - 2842*k/15 + 2836/5.
2*(k - 1418)*(k - 3)/15
Suppose -x**2/3 - 3739*x/3 - 3736 = 0. Calculate x.
-3736, -3
Find n, given that -2*n**2 + 29980*n/3 + 9994/3 = 0.
-1/3, 4997
Let 7*f**3/2 - 313*f**2/2 + 1579*f + 464 = 0. What is f?
-2/7, 16, 29
Suppose 4*j**4/7 - 572*j**3/7 - 1776*j**2/7 + 496*j + 4672/7 = 0. Calculate j.
-4, -1, 2, 146
Factor -4*f**3/5 + 748*f**2/5 - 588*f + 2196/5.
-4*(f - 183)*(f - 3)*(f - 1)/5
Suppose -2*f**2/17 + 58232*f/17 - 423870728/17 = 0. Calculate f.
14558
Factor 5*p**2 - 1554155*p - 3108330.
5*(p - 310833)*(p + 2)
Factor k**3 - 623*k**2 + 12160*k - 60300.
(k - 603)*(k - 10)**2
Solve 2*m**2/5 - 4296*m + 21478/5 = 0 for m.
1, 10739
Factor -6*g**2/7 - 114036*g/7 - 541842054/7.
-6*(g + 9503)**2/7
Determine r so that 2*r**3/19 - 302*r**2/19 - 7658*r/19 + 7958/19 = 0.
-23, 1, 173
Let 4*u**3 - 9788*u**2 + 6002464*u - 17919408 = 0. Calculate u.
3, 1222
Solve 5*g**4 - 18125*g**3 + 325035*g**2 - 1460835*g = 0 for g.
0, 9, 3607
Find p, given that 5*p**5 - 60*p**4 - 270*p**3 + 3260*p**2 + 3465*p = 0.
-7, -1, 0, 9, 11
Let -204*f**4 - 14966*f**3 - 60756*f**2 + 45146*f + 1380 = 0. Calculate f.
-69, -5, -1/34, 2/3
Factor 5*t**3 + 170*t**2 - 5025*t - 35190.
5*(t - 23)*(t + 6)*(t + 51)
Factor -6*q**2 - 433725*q/7 + 92943/7.
-3*(q + 10327)*(14*q - 3)/7
Factor -w**3/6 + 236*w**2/3 + 475*w/2.
-w*(w - 475)*(w + 3)/6
Factor 4*f**3 - 3064*f**2 + 760496*f - 60386720.
4*(f - 298)**2*(f - 170)
Let 10*c**3/17 - 284*c**2/17 - 506*c/17 + 780/17 = 0. Calculate c.
-13/5, 1, 30
Let p**2/9 + 325*p/9 + 2214 = 0. Calculate p.
-243, -82
Determine m so that -4*m**4/7 - 2354*m**3/7 - 3516*m**2/7 + 3526*m/7 + 2348/7 = 0.
-587, -2, -1/2, 1
Let 4*g**3 + 1592*g**2 + 45060*g + 331200 = 0. Calculate g.
-368, -15
Factor 500*s**2 - 6089300*s + 18539787245.
5*(10*s - 60893)**2
Factor 5*g**2 - 3095*g - 60610.
5*(g - 638)*(g + 19)
What is j in -4*j**3 + 40*j**2 + 500*j - 3000 = 0?
-10, 5, 15
Factor 3*i**2/2 - 4497*i/2 + 15666.
3*(i - 1492)*(i - 7)/2
Find i such that 13*i**4/4 + 15805*i**3/4 + 27929*i**2/4 + 8495*i/4 - 1821/2 = 0.
-1214, -1, 3/13
Suppose -612*g**3 + 3064*g**2 - 3692*g + 24 = 0. Calculate g.
1/153, 2, 3
Find b, given that b**2/10 - 30233*b/10 - 6047 = 0.
-2, 30235
What is i in 725*i**4 - 55102*i**3 + 108177*i**2 - 53948*i + 148 = 0?
2/725, 1, 74
Find d such that 5*d**2 + 15430*d - 15435 = 0.
-3087, 1
Determine f so that 160178*f**3/7 + 2725290*f**2/7 + 38496*f/7 + 136/7 = 0.
-17, -2/283
What is x in x**5/3 - 428*x**4/3 + 2533*x**3/3 - 398*x**2/3 - 10112*x/3 - 6752/3 = 0?
-1, 4, 422
Solve -3*w**2 + 18852*w = 0 for w.
0, 6284
What is u in -u**4/7 + 928*u**3/7 + 8482*u**2/7 - 45952*u/7 + 36543/7 = 0?
-13, 1, 3, 937
Factor 2*z**4/5 - 680*z**3 - 6806*z**2/5 - 3404*z/5.
2*z*(z - 1702)*(z + 1)**2/5
Factor -5*m**2 - 350970*m + 350975.
-5*(m - 1)*(m + 70195)
Factor w**3/8 - 2357*w**2/8 + 173755*w - 346921/2.
(w - 1178)**2*(w - 1)/8
Determine c so that -9*c**2 - 13020*c + 4341 = 0.
-1447, 1/3
Suppose -2*r**4 - 452*r**3 = 0. What is r?
-226, 0
Find s, given that -5*s**2 - 430*s - 8120 = 0.
-58, -28
Let 2*b**4 - 2912*b**3 + 1146396*b**2 - 62919584*b + 933724898 = 0. What is b?
31, 697
Factor -l**2/6 - 3619*l/6.
-l*(l + 3619)/6
Factor -2*l**2/7 - 2238*l/7 - 170068/7.
-2*(l + 82)*(l + 1037)/7
Suppose 4*f**5/3 + 27*f**4 + 148*f**3/3 - 96*f**2 - 656*f/3 - 48 = 0. Calculate f.
-18, -2, -1/4, 2
Find s, given that -2*s**2/3 + 84100*s/3 = 0.
0, 42050
Factor -3*p**3 + 237720*p**2 - 237717*p.
-3*p*(p - 79239)*(p - 1)
Determine w so that w**4/10 - 27*w**3/10 - 2129*w**2/10 + 7011*w/2 + 117670 = 0.
-35, -20, 41
Find x such that -x**5 + 34*x**4 - 395*x**3 + 1682*x**2 - 1320*x = 0.
0, 1, 10, 11, 12
Factor -9*d**3/2 + d**2 + 441*d/2 - 49.
-(d - 7)*(d + 7)*(9*d - 2)/2
Find d such that 5*d**2 + 7005*d + 13990 = 0.
-1399, -2
Determine n, given that -n**4/3 - 100*n**3 - 2917*n**2/3 - 1634*n + 8120/3 = 0.
-290, -7, -4, 1
Factor 2*q**3/11 - 549646*q**2/11 + 3433051440*q + 3433101408.
2*(q - 137412)**2*(q + 1)/11
Factor 5*y**2 - 53440*y + 142791680.
5*(y - 5344)**2
Factor -v**2/3 + 1796*v/3 - 2985.
-(v - 1791)*(v - 5)/3
Factor -3*b**3 + 3165*b**2 + 64200*b + 322500.
-3*(b - 1075)*(b + 10)**2
Suppose 2*f**3/13 + 3844*f**2/13 + 1877410*f/13 + 29062688/13 = 0. Calculate f.
-953, -16
Let -131220*n**5 - 728352*n**4 - 1039796*n**3 - 419704*n**2 + 22672*n - 288 = 0. Calculate n.
-18/5, -1, 2/81
Solve -166*c**4/3 - 1465*c**3 + 2347*c**2/3 - 18*c = 0.
-27, 0, 2/83, 1/2
Find b, given that -2*b**4 + 110456*b**3 - 1525618140*b**2 + 15246131544*b - 13720623858 = 0.
1, 9, 27609
Find y, given that -y**2/10 + 9137*y/