, 2, 121
Suppose 2*p**4/13 + 136*p**3/13 + 220*p**2 + 17864*p/13 + 15138/13 = 0. Calculate p.
-29, -9, -1
Factor 213*b**3 + 15117*b**2 - 426*b.
3*b*(b + 71)*(71*b - 2)
Suppose -y**4 + 1093*y**3 - 7592*y**2 - 10876*y + 17376 = 0. What is y?
-2, 1, 8, 1086
Suppose -g**3 - 394591*g**2 + 789185*g - 394593 = 0. Calculate g.
-394593, 1
Factor -r**3/2 + 60332*r**2 - 1819975112*r.
-r*(r - 60332)**2/2
Suppose -r**2/3 - 21194*r/3 - 112296409/3 = 0. What is r?
-10597
Find b, given that 39*b**4/8 - 643*b**3/2 - 4404*b**2 - 13914*b - 702 = 0.
-6, -2/39, 78
Factor -y**3/8 + 545*y**2/8 - 10479*y/8 - 11025/8.
-(y - 525)*(y - 21)*(y + 1)/8
Solve 3*i**2 - 63504*i + 336063168 = 0 for i.
10584
Determine f so that 2*f**2/7 + 6936*f/7 = 0.
-3468, 0
Suppose 5*r**5 - 12575*r**4 + 100315*r**3 - 87745*r**2 = 0. What is r?
0, 1, 7, 2507
Determine w, given that -5*w**3/6 - 6255*w**2 + 25025*w/2 - 18770/3 = 0.
-7508, 1
Solve 2*g**4/15 + 7070944*g**3/15 + 2083258020148*g**2/5 - 12499569333728*g/15 + 6249788202338/15 = 0.
-1767737, 1
Solve -26*w**4 - 174*w**3 + 1086*w**2 - 1546*w + 660 = 0.
-11, 1, 30/13
Suppose -s**3/6 - 43*s**2 - 9629*s/6 - 1562 = 0. What is s?
-213, -44, -1
Suppose 3*y**2/7 - 6015*y/7 + 47928/7 = 0. What is y?
8, 1997
Determine d, given that 2*d**4 + 842*d**3 + 89862*d**2 + 258742*d - 349448 = 0.
-209, -4, 1
Factor -3*z**3 + 70818*z**2 - 417932427*z.
-3*z*(z - 11803)**2
Determine a, given that 4*a**4 - 80*a**3 - 2024*a**2 + 5808*a + 143748 = 0.
-11, 9, 33
Find q, given that -4*q**4 - 1160*q**3 + 23484*q**2 = 0.
-309, 0, 19
Factor g**2/2 - 45816*g - 183272.
(g - 91636)*(g + 4)/2
Factor -3*a**2 + 5022*a + 30240.
-3*(a - 1680)*(a + 6)
Solve -b**4/2 - 13*b**3 - 203*b**2/2 - 221*b - 132 = 0.
-12, -11, -2, -1
Factor 4*l**2 - 71492*l - 1216520.
4*(l - 17890)*(l + 17)
Find w such that -676*w**4/5 - 4940*w**3 - 12828*w**2/5 + 1980*w - 1296/5 = 0.
-36, -1, 3/13
Factor 484*i**4/7 - 2469860*i**3/7 + 600179868*i**2 - 340308598644*i + 5624771544.
4*(i - 1701)**3*(121*i - 2)/7
Determine x so that -8*x**4 - 52*x**3 - 60*x**2 = 0.
-5, -3/2, 0
Factor -2*x**3/5 - 122*x**2/5 + 5882*x/5 - 10982.
-2*(x - 17)**2*(x + 95)/5
Solve -z**5/2 + 5*z**4/2 + 79*z**3/2 + 67*z**2/2 - 39*z - 36 = 0 for z.
-6, -1, 1, 12
Determine y so that 6*y**5/11 - 324*y**4/11 - 1488*y**3/11 + 5184*y**2/11 + 22272*y/11 = 0.
-4, 0, 4, 58
Suppose s**2/5 + 546022*s/5 + 74535006121/5 = 0. What is s?
-273011
What is o in 5*o**4 + 105*o**3 + 135*o**2 - 8505*o - 43740 = 0?
-12, -9, 9
Let -33*y**4 + 3705*y**3 - 15264*y**2 + 3888*y = 0. Calculate y.
0, 3/11, 4, 108
Let -2*h**2 + 4574*h + 4576 = 0. What is h?
-1, 2288
Factor 6*b**3 + 10*b**2 - 948*b + 1232.
2*(b - 11)*(b + 14)*(3*b - 4)
Solve -3*f**3/4 + 933*f**2/4 + 30015*f/4 + 230175/4 = 0 for f.
-15, 341
Factor 5*g**2 - 11050*g + 11045.
5*(g - 2209)*(g - 1)
Factor 3*p**2/2 - 1497*p - 869265/2.
3*(p - 1233)*(p + 235)/2
What is l in 2*l**3/9 - 8610*l**2 - 232484*l/9 - 51664/3 = 0?
-2, -1, 38748
Let -9*c**4 - 159*c**3 - 675*c**2 - 729*c + 324 = 0. Calculate c.
-12, -3, 1/3
Let 36*s**4/7 + 4144*s**3 + 230192*s**2/7 + 344640*s/7 = 0. What is s?
-7180/9, -6, -2, 0
What is q in -q**3 + 2258*q**2 - 1274641*q = 0?
0, 1129
Suppose -4*d**4 + 452*d**3 + 8456*d**2 + 49200*d + 93600 = 0. Calculate d.
-6, -5, 130
Find r, given that -2*r**5/13 - 822*r**4/13 - 6426*r**3/13 + 8902*r**2/13 + 1116*r = 0.
-403, -9, -1, 0, 2
What is w in 2*w**5/5 - 8*w**4/5 - 198*w**3/5 + 812*w**2/5 - 40*w - 240 = 0?
-10, -1, 2, 3, 10
Factor -3*t**3 - 354*t**2 - 10200*t.
-3*t*(t + 50)*(t + 68)
Determine l so that -2*l**4/3 - 4558*l**3/3 + 244214*l**2 - 28101458*l/3 - 28838656/3 = 0.
-2432, -1, 77
Solve -2*n**2 - 564*n + 566 = 0 for n.
-283, 1
Let s**5/5 + 158*s**4/5 - 7019*s**3/5 - 209508*s**2 + 8791380*s = 0. What is s?
-130, 0, 51
Factor -3*l**3/2 + 101*l**2/2 + 17*l.
-l*(l - 34)*(3*l + 1)/2
Suppose 2*v**5/3 - 56*v**4/9 - 6610*v**3/9 + 260*v**2 + 17704*v/9 + 8816/9 = 0. What is v?
-29, -1, -2/3, 2, 38
Determine s so that 563*s**3/7 + 45042*s**2/7 + 171312*s/7 + 608/7 = 0.
-76, -4, -2/563
What is l in 25*l**5 + 1735*l**4 + 23540*l**3 + 48140*l**2 + 15600*l = 0?
-52, -15, -2, -2/5, 0
Let g**4 + 2167*g**3 - 8680*g**2 + 8684*g = 0. What is g?
-2171, 0, 2
Solve 24300*c**3 + 25731*c**2 + 8472*c + 816 = 0.
-4/9, -17/100
Factor 2*u**2/11 + 2883696*u/11 + 1039462827552/11.
2*(u + 720924)**2/11
Find k, given that 5*k**4 - 490*k**3 - 18720*k**2 - 163350*k - 145125 = 0.
-15, -1, 129
Find i such that -3*i**2 + 221898*i - 2218680 = 0.
10, 73956
Factor 2*b**3/7 + 322*b**2 + 651632*b/7 + 9274080/7.
2*(b + 15)*(b + 556)**2/7
Let -821*s**4/3 + 4922*s**3/3 - 2455*s**2 + 3248*s/3 + 16/3 = 0. Calculate s.
-4/821, 1, 4
Solve 3*k**3 + 101436*k**2 + 202863*k + 101430 = 0.
-33810, -1
Let 4*h**3 + 9200*h**2 - 9204*h = 0. Calculate h.
-2301, 0, 1
Solve -3*b**4 + 15*b**3 - 60*b + 48 = 0.
-2, 1, 2, 4
Solve 48*d**2 - 155757*d - 9735 = 0 for d.
-1/16, 3245
Factor -3*q**3 + 10743*q**2 + 53790*q.
-3*q*(q - 3586)*(q + 5)
Factor -i**2/3 - i + 154/3.
-(i - 11)*(i + 14)/3
Suppose -112*w**5/11 + 1464*w**4/11 - 3719*w**3/11 + 2872*w**2/11 - 828*w/11 + 80/11 = 0. What is w?
1/4, 4/7, 2, 10
Factor -x**3/5 + 242*x**2/5 - 2760*x.
-x*(x - 150)*(x - 92)/5
Find v, given that -25*v**4/7 + 4695*v**3/7 - 40587*v**2 + 5368109*v/7 + 808134 = 0.
-1, 42, 367/5
Let -3*t**2/4 - 153*t/4 - 465 = 0. What is t?
-31, -20
Factor -16*r**3 - 12564*r**2 + 47356*r + 12624.
-4*(r - 4)*(r + 789)*(4*r + 1)
Let 5*z**4/2 + 20565*z**3/2 + 21135615*z**2/2 - 21403085*z/2 - 126937470 = 0. What is z?
-2057, -3, 4
Let -v**4/9 - 770*v**3 - 6924*v**2 - 20766*v - 20763 = 0. Calculate v.
-6921, -3
Factor 2*h**2 + 6268*h.
2*h*(h + 3134)
Factor -5*g**2 + 34400*g.
-5*g*(g - 6880)
Factor y**2 + 10065*y + 10064.
(y + 1)*(y + 10064)
Factor -c**2 - 43492*c - 43491.
-(c + 1)*(c + 43491)
Factor -67*k**2/11 - 3336*k/11 + 700/11.
-(k + 50)*(67*k - 14)/11
Factor c**4/3 - 194*c**3/3 + 913*c**2/3 + 2004*c + 2268.
(c - 189)*(c - 9)*(c + 2)**2/3
Factor 4*w**3 - 252*w**2 + 3836*w - 17028.
4*(w - 43)*(w - 11)*(w - 9)
Determine r so that -182*r**3 - 9274*r**2 - 55648*r + 2464 = 0.
-44, -7, 4/91
Let 260*w**3 - 14308*w**2 + 14480*w - 432 = 0. What is w?
2/65, 1, 54
Factor -u**3 - 15*u**2 + 312*u + 2944.
-(u - 16)*(u + 8)*(u + 23)
Factor 3*b**3/2 - 26587*b**2/2 + 58910145*b/2 - 19633761/2.
(b - 4431)**2*(3*b - 1)/2
Let -69*a**5 + 615*a**4 - 1119*a**3 - 723*a**2 + 1188*a + 108 = 0. What is a?
-1, -2/23, 1, 3, 6
Let -2*x**3 + 7622*x**2 - 7273280*x + 21751296 = 0. What is x?
3, 1904
Factor -4*i**2/5 - 8832*i/5 - 482048/5.
-4*(i + 56)*(i + 2152)/5
Find y, given that -2*y**2/3 - 2402*y/3 - 2396 = 0.
-1198, -3
Find k, given that 4*k**4 - 136*k**3 + 524*k**2 + 4504*k - 10080 = 0.
-5, 2, 9, 28
Factor 5*b**2 - 227905*b + 227900.
5*(b - 45580)*(b - 1)
Determine j, given that 2*j**5/7 + 510*j**4/7 + 40902*j**3/7 + 1121978*j**2/7 + 12630384*j/7 + 50618880/7 = 0.
-120, -96, -13
Find p such that 4*p**2 + 648*p - 19552 = 0.
-188, 26
Factor -2*j**3/15 + 268*j**2/15 + 112*j.
-2*j*(j - 140)*(j + 6)/15
Determine u so that 2*u**5/9 - 380*u**4/3 + 160108*u**3/9 + 680792*u**2/9 - 349566*u + 2306332/9 = 0.
-7, 1, 2, 287
Let 3*j**2 + 11685*j = 0. Calculate j.
-3895, 0
Suppose -21*o**4 + 57*o**3/2 + 36*o**2 - 33*o/2 - 3 = 0. What is o?
-1, -1/7, 1/2, 2
Find a, given that 2*a**3/5 - 208*a**2 + 84638*a/5 = 0.
0, 101, 419
Suppose -t**4/5 + 804*t**3 + 20131*t**2/5 - 4830*t = 0. Calculate t.
-6, 0, 1, 4025
Solve 4*b**2 + 2749656*b + 472538007396 = 0.
-343707
Determine n so that -93025*n**3/3 - 837835*n**2 - 16473*n - 81 = 0.
-27, -3/305
Let 900*q**3 + 82740*q**2 + 236896*q + 172304 = 0. What is q?
-89, -22/15
What is l in -36*l**4 - 1312*l**3 - 7156*l**2 + 74248*l - 108800 = 0?
-25, -17, 2, 32/9
Factor -80*g**3 + 73560*g**2 - 36765*g + 4595.
-5*(g - 919)*(4*g - 1)**2
Factor -3*l**3 + 4893*l**2 - 1992672*l - 1997568.
-3*(l - 816)**2*(l + 1)
Solve 3117*p**5/7 + 9354*p**4/7 + 3126*p**3/7 - 9348*p**2/7 - 6243*p/7 - 6/7 = 0.
-2, -1, -1/1039, 1
Suppose -5*u**3 + 2945*u**2 + 2950*u = 0. What is u?
-1, 0, 590
Determine h, given that -4*h**5/5 - 92*h**4/5 + 320*h**3 + 3536*h**2/5 = 0.
-34, -2, 0, 13
Suppose 3*k**3/2 - 15687*k**2/2 = 0. Calculate k.
0, 5229
Let -f**5/4 - 14041*f**4/4 + 28091*f**3/4 + 70209*f**2/4 - 42129*f/2 = 0. 