for v.
-149, -1/4, 190
Suppose 2*n**4 - 246*n**3 + 6152*n**2 - 40704*n - 47104 = 0. What is n?
-1, 16, 92
Factor 2*n**4 + 250*n**3 + 8606*n**2 + 48678*n.
2*n*(n + 7)*(n + 57)*(n + 61)
Factor -9467929*y**2/5 - 73848*y/5 - 144/5.
-(3077*y + 12)**2/5
Solve -5*h**3/4 - 13285*h**2/4 + 3325*h + 6645 = 0 for h.
-2658, -1, 2
Suppose -6*z**3/7 + 14820*z**2/7 - 9121638*z/7 - 36724056/7 = 0. What is z?
-4, 1237
What is o in 4*o**4 + 4*o**3 - 2148*o**2 - 27412*o - 94864 = 0?
-11, -7, 28
Determine j, given that j**2 - 1844*j - 279885 = 0.
-141, 1985
Factor 3*m**2/5 - 15051*m/5 - 9036.
3*(m - 5020)*(m + 3)/5
Factor -h**4/4 - 17*h**3/4 + 2910*h**2 - 148400*h + 2192000.
-(h - 40)**3*(h + 137)/4
Factor 2*n**3/13 - 560*n**2 + 6602906*n/13 + 39879948/13.
2*(n - 1823)**2*(n + 6)/13
Suppose 3*g**2 + 1374*g - 9765 = 0. Calculate g.
-465, 7
Factor 3*r**3/4 + 2493*r**2/4 - 10011*r/4 + 7515/4.
3*(r - 3)*(r - 1)*(r + 835)/4
Factor -9*i**3 + 4790*i**2 - 10604*i + 2120.
-(i - 530)*(i - 2)*(9*i - 2)
Factor -4*w**2 - 249572*w + 249576.
-4*(w - 1)*(w + 62394)
Solve h**4 + 223*h**3 - 1140*h**2 = 0 for h.
-228, 0, 5
Factor 2*k**4/5 + 26748*k**3/5 + 89244506*k**2/5 - 1253357784*k/5 + 4391344328/5.
2*(k - 7)**2*(k + 6694)**2/5
Suppose 3*p**3/5 + 4659*p**2/5 - 9363*p + 23445 = 0. Calculate p.
-1563, 5
Determine i, given that -158*i**4/11 - 794*i**3/11 - 1284*i**2/11 - 664*i/11 - 16/11 = 0.
-2, -1, -2/79
Factor -5*y**4 - 124310*y**3 - 1030239840*y**2 - 2846552595050*y - 2845522479515.
-5*(y + 1)*(y + 8287)**3
Determine k, given that 5*k**2/6 - 115915*k/6 - 77290 = 0.
-4, 23187
Let 3*v**3 + 234*v**2 - 4185*v = 0. Calculate v.
-93, 0, 15
Determine j so that -3*j**5 + 54*j**4 - 204*j**3 - 666*j**2 + 2511*j + 2916 = 0.
-3, -1, 4, 9
Find i, given that 31*i**4 - 338*i**3 + 1052*i**2 - 670*i - 75 = 0.
-3/31, 1, 5
Let -9*f**3 - 4272*f**2 - 495360*f + 2764800 = 0. Calculate f.
-240, 16/3
Suppose -c**3 - 179*c**2 - 4147*c - 25857 = 0. What is c?
-153, -13
Factor 2*r**2 + 276*r + 2560.
2*(r + 10)*(r + 128)
Find w, given that -w**2/2 - 491*w/2 - 7980 = 0.
-456, -35
Suppose 2*l**2/7 - 2924448*l/7 + 1069049513088/7 = 0. Calculate l.
731112
Let -2*h**3/3 - 746*h**2/3 - 63632*h/3 + 376360 = 0. What is h?
-194, 15
Factor -3*y**3/4 - 430287*y**2/4 - 15427832757*y/4 + 77149921335/4.
-3*(y - 5)*(y + 71717)**2/4
Solve 4*i**5 - 20*i**4 - 276*i**3 + 1892*i**2 - 1888*i - 4032 = 0 for i.
-9, -1, 4, 7
Find l, given that -29*l**3 + 702*l**2 - 144*l = 0.
0, 6/29, 24
Determine l so that -4*l**4/11 - 337*l**3/11 - 6792*l**2/11 + 13115*l/11 + 3698/11 = 0.
-43, -1/4, 2
Determine s so that 17*s**4/8 + 389*s**3/8 + 149*s**2/2 - 435*s/2 - 378 = 0.
-21, -2, 36/17
Suppose -4*z**4 + 156*z**3 + 268*z**2 - 40716*z - 40824 = 0. What is z?
-14, -1, 27
Factor 2*h**3/5 + 5852*h**2/5 - 23432*h/5 + 4688.
2*(h - 2)**2*(h + 2930)/5
Factor -2878*o**3/5 - 80586*o**2/5 - 564144*o/5 - 392/5.
-2*(o + 14)**2*(1439*o + 1)/5
Factor -62059777924*b**2 + 1992944*b - 16.
-4*(124559*b - 2)**2
Suppose 2*p**2/7 + 12518*p/7 - 465904/7 = 0. Calculate p.
-6296, 37
Factor 2*u**4 - 13056*u**3 + 21424572*u**2 - 382475520*u + 1716394050.
2*(u - 3255)**2*(u - 9)**2
Solve -4*o**2/3 + 12808*o/3 - 10252804/3 = 0.
1601
Solve -2*c**2 - 1680824*c - 353146164872 = 0.
-420206
Factor i**3/4 + 11*i**2/4 - 316*i - 2261.
(i - 34)*(i + 7)*(i + 38)/4
Suppose -3*j**5 - 1014*j**4 - 97887*j**3 - 3072876*j**2 - 11149068*j - 10773600 = 0. What is j?
-200, -67, -2
Factor -4*q**3 - 12156*q**2 - 72792*q.
-4*q*(q + 6)*(q + 3033)
Factor 2*g**2/3 + 24986*g/3 - 451692.
2*(g - 54)*(g + 12547)/3
Solve -2*j**2 - 242286*j + 242288 = 0 for j.
-121144, 1
Determine g, given that 19652*g**5 + 548522*g**4 + 482103*g**3 - 90781*g**2/2 + 1363*g - 27/2 = 0.
-27, -1, 1/34
Factor -4*z**2 + 21728*z + 21732.
-4*(z - 5433)*(z + 1)
Factor -2*t**4/7 + 2496*t**3/7 - 144204*t**2 + 17086832*t + 734056554.
-2*(t - 427)**3*(t + 33)/7
Determine h, given that -2*h**5/5 + 2*h**4/5 + 62*h**3/5 + 22*h**2/5 - 516*h/5 - 144 = 0.
-3, -2, 4, 5
Suppose 3*f**2/2 - 6441*f/2 - 6447 = 0. What is f?
-2, 2149
Factor y**3 + 2024*y**2 + 172125*y - 174150.
(y - 1)*(y + 90)*(y + 1935)
Factor -2*a**3 - 864*a**2 + 3498*a + 4360.
-2*(a - 5)*(a + 1)*(a + 436)
Determine t so that 13*t**2/8 - 555*t/8 - 8075 = 0.
-680/13, 95
Factor 3*k**4 - 33288*k**3 + 66567*k**2 - 33282*k.
3*k*(k - 11094)*(k - 1)**2
Factor -k**2/2 - 156946*k - 12316023458.
-(k + 156946)**2/2
Find g such that g**3 + 208*g**2 - 32660*g - 66144 = 0.
-312, -2, 106
Factor -g**2/4 - 148*g - 7020.
-(g + 52)*(g + 540)/4
What is a in 2*a**3/5 - 258*a**2 + 16404*a/5 + 17696/5 = 0?
-1, 14, 632
Factor 2*l**2/9 - 17066*l/3.
2*l*(l - 25599)/9
Find w such that 3*w**2 + 264498*w = 0.
-88166, 0
Factor -3*t**2 - 180*t + 3375.
-3*(t - 15)*(t + 75)
Suppose 3*h**4/5 + 3519*h**3/5 - 252333*h**2/5 + 5876661*h/5 - 45334242/5 = 0. What is h?
-1242, 23
Factor 3*x**2/4 + 6843*x.
3*x*(x + 9124)/4
Factor -2*n**2 - 10568*n - 105480.
-2*(n + 10)*(n + 5274)
Find g, given that 4*g**4 + 420*g**3 + 10536*g**2 + 63728*g + 88608 = 0.
-71, -26, -6, -2
Suppose x**3 + 5674*x**2 - 62525*x + 56850 = 0. Calculate x.
-5685, 1, 10
Factor f**2 + 124353*f/4 + 7772.
(f + 31088)*(4*f + 1)/4
Find p, given that 5*p**2 + 15475*p - 579420 = 0.
-3132, 37
Determine w, given that -277301250*w**4/7 + 110685000*w**3/7 - 10997900*w**2/7 - 9400*w/7 - 2/7 = 0.
-1/2355, 1/5
What is m in m**3/2 + 447*m**2 - 897*m/2 - 895 = 0?
-895, -1, 2
Suppose -2*r**2/5 - 24*r + 20672/5 = 0. Calculate r.
-136, 76
Determine k, given that 5*k**3/6 + 500*k**2/3 - 15995*k/6 + 13975/3 = 0.
-215, 2, 13
Solve 15*k**5 - 18290*k**4 - 12235*k**3 + 42710*k**2 - 12200*k = 0.
-2, 0, 1/3, 1, 1220
Factor 1217162*h**2/19 - 1217166*h/19 + 4/19.
2*(h - 1)*(608581*h - 2)/19
Find g, given that -2*g**5 - 762*g**4 - 3764*g**3 - 1488*g**2 + 6016*g = 0.
-376, -4, -2, 0, 1
Factor 3*o**4 + 2910*o**3 + 702759*o**2 - 1414260*o + 708588.
3*(o - 1)**2*(o + 486)**2
Let -4*x**3 + 3444*x**2 - 47628*x + 166012 = 0. What is x?
7, 847
Suppose 2*l**5/11 - 70*l**4/11 - 12*l**3/11 + 436*l**2/11 - 566*l/11 + 210/11 = 0. What is l?
-3, 1, 35
What is b in -b**4/4 + 13745*b**3/4 + 3*b**2/4 - 41233*b/4 - 13745/2 = 0?
-1, 2, 13745
Factor -2*r**2 + 542*r - 35420.
-2*(r - 161)*(r - 110)
Suppose -5*q**4 + 12620*q**3 + 25275*q**2 - 37890*q = 0. Calculate q.
-3, 0, 1, 2526
What is k in 2*k**5/13 + 294*k**4/13 - 7662*k**3/13 + 26746*k**2/13 - 19380*k/13 = 0?
-170, 0, 1, 3, 19
Solve -2*p**4 - 29012*p**3/9 + 181030*p**2/9 - 100304*p/3 + 6472 = 0.
-1618, 2/9, 3
Determine u so that 6*u**4/5 + 252*u**3/5 - 6486*u**2/5 - 252*u/5 + 1296 = 0.
-60, -1, 1, 18
Factor l**2 - 299*l + 19900.
(l - 199)*(l - 100)
Suppose -z**5/7 - 107*z**4/7 + 18*z**3/7 + 1894*z**2/7 - 487*z + 1605/7 = 0. What is z?
-107, -5, 1, 3
Find v, given that -2*v**3 - 4190*v**2 - 8366*v + 12558 = 0.
-2093, -3, 1
Factor -2*t**2/13 + 2976*t/13 + 2978/13.
-2*(t - 1489)*(t + 1)/13
Factor 3*i**2/5 - 175086*i/5 + 2554592283/5.
3*(i - 29181)**2/5
Let 5*f**3 - 1590*f**2 - 40565*f - 162450 = 0. Calculate f.
-19, -5, 342
Let 4*f**5 + 500*f**4 - 31328*f**3 + 336608*f**2 + 1738048*f + 1871168 = 0. What is f?
-173, -2, 26
Factor 3*o**2/5 - 12867*o/5 - 93420.
3*(o - 4325)*(o + 36)/5
Factor s**2/9 - 3863*s/9 + 26992/9.
(s - 3856)*(s - 7)/9
Factor -n**3/4 + 21089*n**2/4 - 1052575*n/4 + 13149375/4.
-(n - 21039)*(n - 25)**2/4
Suppose -218*n**2 - 5228*n + 96 = 0. What is n?
-24, 2/109
Suppose 252*k**5/17 + 582*k**4/17 - 1526*k**3/17 - 2316*k**2/17 + 2072*k/17 - 48/17 = 0. Calculate k.
-3, -2, 1/42, 2/3, 2
Factor -3*d**2/7 + 20250*d/7 - 20247/7.
-3*(d - 6749)*(d - 1)/7
Factor 3*d**3/2 + 639*d**2/2 + 16110*d + 30954.
3*(d + 2)*(d + 77)*(d + 134)/2
Factor 231*g**2/4 - 44703*g/2 + 3483/4.
3*(g - 387)*(77*g - 3)/4
Solve -t**2/6 - 17666*t/3 - 156043778/3 = 0.
-17666
Find r such that 7*r**5/3 - 85*r**4/3 - 59*r**3 - 71*r**2/3 + 14*r/3 = 0.
-1, 0, 1/7, 14
Factor -2*n**3 - 758*n**2 - 9560*n - 16104.
-2*(n + 2)*(n + 11)*(n + 366)
Solve -2*a**2/7 - 986904*a/7 - 121747438152/7 = 0 for a.
-246726
What is k in 3*k**3 - 12*k**2 - 393*k - 378 = 0?
-9, -1, 14
Suppose 2*g**5/7 + 566*g**4/7 - 2866*g**3/7 + 4026*g**2/7 - 1728*g/7 = 0. Calculate g.
-288, 0, 1, 3
Suppose -3*d**3 - 198*d**2 - 3165*d + 3366 = 0. What is d?
-34, -33, 1
Suppose -2*q**2/11 - 3112*