olve l**5/6 - 272*l**4/3 + 111595*l**3/6 - 1719894*l**2 + 62961624*l - 274079520 = 0.
5, 132, 143
Factor l**5/3 + 163*l**4/3 + 53*l**3 - 491*l**2/3 - 812*l/3 - 108.
(l - 2)*(l + 1)**3*(l + 162)/3
Solve 89*s**4/3 - 92*s**3/3 - 177*s**2 + 6*s = 0.
-2, 0, 3/89, 3
Determine y so that -3*y**4/4 - 459*y**3/4 - 339*y**2 - 225*y = 0.
-150, -2, -1, 0
Factor b**2 - 1243*b - 196670.
(b - 1385)*(b + 142)
Find n such that -2*n**3/9 - 50*n**2/3 + 117314*n/9 - 13018 = 0.
-283, 1, 207
Solve 3*x**3/2 - 404175*x**2/2 + 808341*x/2 - 404169/2 = 0 for x.
1, 134723
Suppose -t**5/3 + 266*t**4/3 + 1939*t**3/3 - 7664*t**2/3 + 1820*t = 0. Calculate t.
-10, 0, 1, 2, 273
Solve -m**2 - 17*m - 16 = 0 for m.
-16, -1
Factor -2*n**3/7 + 22704*n**2/7 - 9129798*n - 2988031292/7.
-2*(n - 5699)**2*(n + 46)/7
Determine a so that 58*a**5 - 240*a**4 + 380*a**3 - 280*a**2 + 90*a - 8 = 0.
4/29, 1
Solve 3*u**2 + 45582*u + 173143227 = 0.
-7597
Determine r, given that 3*r**5 - 28020*r**4 + 56019*r**3 + 84054*r**2 - 112044*r - 112056 = 0.
-1, 2, 9338
Factor -2*t**2/11 - 3021020*t/11 - 1140820230050/11.
-2*(t + 755255)**2/11
Determine h, given that -h**2/6 - 178*h - 81755/6 = 0.
-985, -83
Let -261*z**3/4 - 777*z**2/4 + 3663*z/2 - 42 = 0. What is z?
-7, 2/87, 4
Solve 2*y**4/7 + 150*y**3/7 + 146*y**2/7 - 150*y/7 - 148/7 = 0.
-74, -1, 1
Let -2*j**5/15 + 412*j**4/15 - 5498*j**3/3 + 640136*j**2/15 - 302624*j + 658560 = 0. What is j?
5, 28, 84
Factor -2*m**4 + 4298*m**3 - 17168*m**2 + 17160*m.
-2*m*(m - 2145)*(m - 2)**2
Find g, given that -21877072281*g**3 + 7290582519*g**2 + 591600*g + 12 = 0.
-2/49303, 1/3
Let -2*x**4/3 - 34*x**3/3 + 30*x**2 + 274*x/3 + 152/3 = 0. Calculate x.
-19, -1, 4
Factor 3*u**2/8 + 141*u/2 + 11385/8.
3*(u + 23)*(u + 165)/8
Factor -2*c**3/11 - 1024*c**2/11 - 8064*c/11.
-2*c*(c + 8)*(c + 504)/11
Determine k so that -2*k**2/3 + 23566*k - 282760/3 = 0.
4, 35345
Let -3*s**5/5 + 19089*s**4/5 + 38199*s**3/5 - 11457*s**2 = 0. What is s?
-3, 0, 1, 6365
Factor 5*l**3 + 20015*l**2 + 19716175*l - 630584795.
5*(l - 31)*(l + 2017)**2
Find w, given that 19*w**2/2 + 379*w/5 - 8/5 = 0.
-8, 2/95
Factor 2*r**4 + 1700*r**3 + 356106*r**2 - 2189648*r + 1831840.
2*(r - 5)*(r - 1)*(r + 428)**2
Factor g**3/3 - 1741*g**2 + 5222*g/3.
g*(g - 5222)*(g - 1)/3
Suppose -5*g**5 + 260*g**4 + 295*g**3 - 1570*g**2 - 1100*g + 2120 = 0. What is g?
-2, 1, 2, 53
Factor 2*r**3 - 342*r**2 + 15438*r - 209498.
2*(r - 109)*(r - 31)**2
Find x such that -x**4/4 - 6*x**3 - 39*x**2/4 + 196*x - 180 = 0.
-20, -9, 1, 4
Suppose 5*w**2 + 695*w - 6660 = 0. What is w?
-148, 9
What is q in -q**3/5 + 129*q**2/5 - 4188*q/5 + 812 = 0?
1, 58, 70
Factor -5*q**3 + 100*q**2 + 1065*q - 14040.
-5*(q - 24)*(q - 9)*(q + 13)
Let 3*j**3 - 2898*j**2 - 101901*j - 99000 = 0. Calculate j.
-33, -1, 1000
Determine m, given that -4*m**2 - 504*m - 9476 = 0.
-103, -23
Factor n**3/8 + 549*n**2/4 + 34755*n/2 + 586775.
(n + 70)**2*(n + 958)/8
Factor 5*o**2/2 + 2335*o/2 + 19125.
5*(o + 17)*(o + 450)/2
Let -x**4 + 80838*x**3 - 1633695561*x**2 = 0. What is x?
0, 40419
Find g such that 2*g**3 - 1458*g**2 = 0.
0, 729
Let 12*m**5 - 3848*m**4 - 1304*m**3 + 6416*m**2 + 1292*m - 2568 = 0. What is m?
-1, 2/3, 1, 321
Solve -25*b**4 - 61265*b**3 - 37552365*b**2 - 22484875*b + 15006250 = 0.
-1225, -1, 2/5
Factor -b**2/8 + 473*b/8 + 420.
-(b - 480)*(b + 7)/8
Solve 8*b**5/13 - 46*b**4/13 - 212*b**3/13 - 194*b**2/13 - 36*b/13 = 0.
-2, -1, -1/4, 0, 9
Determine y so that -y**4/4 - 6079*y**3/2 - 36954241*y**2/4 = 0.
-6079, 0
Suppose -2*h**3/11 + 6*h**2 + 1224*h/11 - 1288/11 = 0. Calculate h.
-14, 1, 46
Solve -2*d**4/9 - 1934*d**3/9 - 628*d**2/3 + 5144*d - 7728 = 0 for d.
-966, -6, 2, 3
Let -6*l**4/11 - 23316*l**3/11 + 69984*l**2/11 - 69996*l/11 + 23334/11 = 0. What is l?
-3889, 1
Let -4*l**2 + 130552*l - 1065239044 = 0. Calculate l.
16319
Factor 4*v**2 + 27720*v + 27716.
4*(v + 1)*(v + 6929)
Solve 3*k**3 - 1092*k + 2160 = 0.
-20, 2, 18
Solve 4*j**4 + 2724*j**3 + 5436*j**2 + 2716*j = 0.
-679, -1, 0
Suppose -2*h**4 - 3601*h**3/2 - 4477*h**2/2 + 16173*h/2 - 8091/2 = 0. Calculate h.
-899, -3, 3/4, 1
Suppose -v**3/2 - 709*v**2/2 - 123879*v/2 + 637245/2 = 0. Calculate v.
-357, 5
Suppose -d**5/4 + 649*d**4/4 - 52161*d**3/2 - 79381*d**2 - 53138*d = 0. What is d?
-2, -1, 0, 326
Suppose -4*w**4 + 952*w**3 + 207972*w**2 + 617192*w + 410176 = 0. What is w?
-136, -2, -1, 377
Factor 3*s**2/4 - 717*s/4 - 6939/2.
3*(s - 257)*(s + 18)/4
Let 3*n**3 + 3*n**2 - 558*n + 2592 = 0. Calculate n.
-16, 6, 9
Factor 3*l**2 + 1340976*l + 149851386048.
3*(l + 223496)**2
Factor -210*t**2 - 17825*t.
-5*t*(42*t + 3565)
Factor 5*w**4 - 155*w**3 + 140*w**2 + 300*w.
5*w*(w - 30)*(w - 2)*(w + 1)
Solve -h**2/2 + 1705*h/2 - 6788 = 0 for h.
8, 1697
Solve 722*f**3 - 9652*f**2 + 6965*f/2 - 637/2 = 0 for f.
7/38, 13
Suppose 3*v**5 + 2187*v**4 + 32295*v**3 + 117765*v**2 - 32298*v - 119952 = 0. What is v?
-714, -8, -7, -1, 1
Let -4*o**2 + 80796*o - 242352 = 0. Calculate o.
3, 20196
Solve y**2/6 - 31*y + 855/2 = 0 for y.
15, 171
What is z in -z**3/4 - 235*z**2/2 + 2369*z/4 - 1425/2 = 0?
-475, 2, 3
Determine w so that -w**4/2 + 13*w**3/2 + 31*w**2/2 - 13*w/2 - 15 = 0.
-2, -1, 1, 15
Suppose -j**4/9 + 156586*j**3/3 - 469756*j**2/3 + 1409266*j/9 - 52195 = 0. What is j?
1, 469755
Factor 2*y**4 - 100*y**3 + 896*y**2 + 9408*y.
2*y*(y - 28)**2*(y + 6)
Factor a**3 - 86*a**2 + 1224*a.
a*(a - 68)*(a - 18)
Factor -y**3/3 - 103738*y**2/3.
-y**2*(y + 103738)/3
Factor 3*m**2 - 406746*m - 1220265.
3*(m - 135585)*(m + 3)
What is g in 7*g**4/2 + 4805*g**3 + 9603*g**2/2 = 0?
-9603/7, -1, 0
Factor 2*a**3/7 + 1742*a**2 + 18580606*a/7 - 18592802/7.
2*(a - 1)*(a + 3049)**2/7
Let -2*p**4/7 + 18*p**2/7 - 8*p/7 - 24/7 = 0. What is p?
-3, -1, 2
Factor 2*u**3/5 + 1366*u**2/5 + 12132*u/5.
2*u*(u + 9)*(u + 674)/5
What is m in 4*m**3 + 308*m**2 + 5672*m - 5984 = 0?
-44, -34, 1
Factor -3*n**2/2 + 888*n + 310059/2.
-3*(n - 733)*(n + 141)/2
Determine j so that 2*j**2/13 + 340342*j/13 - 680692/13 = 0.
-170173, 2
Factor 84*g**3 - 4136*g**2 + 964*g + 784.
4*(g - 49)*(3*g + 1)*(7*g - 4)
Determine u so that -u**4/4 + 2053*u**3 - 4105*u**2 = 0.
0, 2, 8210
Solve -2*c**2 - 218*c = 0 for c.
-109, 0
Factor i**4/2 + 1075*i**3/2 + 150436*i**2 + 3181774*i.
i*(i + 23)*(i + 526)**2/2
Solve -6*f**5 + 512*f**4 + 30108*f**3 + 461160*f**2 + 1942650*f - 3483000 = 0.
-15, 4/3, 129
Factor 2*x**3 + 48*x**2 - 2258*x + 2208.
2*(x - 23)*(x - 1)*(x + 48)
Determine d, given that -2*d**5/7 + 205270*d**4/7 - 5266868974*d**3/7 - 5267279518*d**2/7 + 5266868976*d/7 + 5267074248/7 = 0.
-1, 1, 51318
Find o, given that -o**4 + 123*o**3 - 1652*o**2 + 3324*o + 14256 = 0.
-2, 6, 11, 108
Let 2*b**2/3 + 938*b/3 - 628 = 0. Calculate b.
-471, 2
Let p**2 + 47808*p - 430353 = 0. What is p?
-47817, 9
Find k such that 2*k**3/9 + 9964*k**2/3 + 6642*k + 29888/9 = 0.
-14944, -1
Factor m**2/8 + 2796*m - 11185/2.
(m - 2)*(m + 22370)/8
Solve 28992*i**3 + 86973*i**2 + 57975*i - 6 = 0 for i.
-2, -1, 1/9664
Factor 2*l**3/19 - 1506*l**2/19 - 4532*l/19 - 3024/19.
2*(l - 756)*(l + 1)*(l + 2)/19
Let 3*o**4 + 2271*o**3 - 9216*o**2 - 64020*o - 73056 = 0. What is o?
-761, -2, 8
Factor -5*q**2 - 71380*q - 254755220.
-5*(q + 7138)**2
Suppose -15*j**3 - 152148*j**2 + 304401*j + 456534 = 0. What is j?
-50726/5, -1, 3
Solve 30*k**2 - 3814145*k + 635690 = 0 for k.
1/6, 127138
Let -3*z**5 - 18*z**4 + 2694*z**3 + 108*z**2 - 18819*z + 16038 = 0. Calculate z.
-33, -3, 1, 2, 27
Suppose h**5 - 25*h**4/3 - 238*h**3 - 1724*h**2/3 - 280*h = 0. Calculate h.
-10, -2, -2/3, 0, 21
Factor -p**5 - 11*p**4 - 31*p**3 - 21*p**2.
-p**2*(p + 1)*(p + 3)*(p + 7)
Solve -x**2/7 + 615*x/7 - 2444/7 = 0.
4, 611
Find b, given that 4*b**4/7 + 1020*b**3/7 - 59692*b**2/7 - 460668*b/7 - 399960/7 = 0.
-303, -6, -1, 55
Let -2*b**4 + 8*b**3 + 1002*b**2 - 8208*b = 0. What is b?
-24, 0, 9, 19
Factor 2*s**2 - 483094*s - 966196.
2*(s - 241549)*(s + 2)
What is r in -3*r**3/4 - 573*r**2/2 - 1143*r/4 = 0?
-381, -1, 0
Determine s, given that 39*s**2/5 - 450*s + 9699/5 = 0.
61/13, 53
Factor -j**3/4 - 44*j**2 - 859*j/4 - 171.
-(j + 1)*(j + 4)*(j + 171)/4
Factor -s**2/5 + 55*s - 13936/5.
-(s - 208)*(s - 67)/5
Find r, given that r**2/3 - 35894*r/3 + 143560/3 = 0.
4, 35890
Factor -p**3/5 + 66847*p**2/5 - 223406015*p - 670338375.
-(p - 33425)**2*(p + 3)/5
Fa