 + 5732*a**2 - 2280124*a + 157619292.
-4*(a - 673)**2*(a - 87)
Suppose 9326*m**2/7 - 46624*m/7 - 30/7 = 0. What is m?
-3/4663, 5
Determine r so that -2*r**3/11 + 24778*r**2/11 - 9008*r + 99080/11 = 0.
2, 12385
Find y such that -4*y**5 + 52*y**4 + 1160*y**3 - 15440*y**2 - 4576*y + 60928 = 0.
-17, -2, 2, 14, 16
Suppose 2*g**4/7 - 100*g**3/7 + 1578*g**2/7 - 1152*g + 1512 = 0. What is g?
2, 6, 21
Factor 5*l**4 + 115*l**3 + 835*l**2 + 2225*l + 1500.
5*(l + 1)*(l + 5)**2*(l + 12)
Suppose s**4 - 731*s**3 - 5916*s**2 + 2924*s + 23648 = 0. Calculate s.
-8, -2, 2, 739
Suppose -4*x**3/5 + 1508*x**2/5 - 4472*x/5 - 5984/5 = 0. Calculate x.
-1, 4, 374
Solve -j**3 + 27*j**2 + 90*j = 0 for j.
-3, 0, 30
Factor 3*u**2 - 747888*u + 46611371712.
3*(u - 124648)**2
Factor -4*f**4 + 14568*f**3 - 13307796*f**2 + 79453872*f - 118984464.
-4*(f - 1818)**2*(f - 3)**2
Suppose -4*w**2 - 35760*w + 178900 = 0. What is w?
-8945, 5
Factor 115*d**3 - 576*d**2 - 685*d + 6.
(d - 6)*(d + 1)*(115*d - 1)
Let -3*g**3 + 219*g**2 - 3828*g = 0. What is g?
0, 29, 44
Determine m so that -2*m**2 + 5654*m - 217464 = 0.
39, 2788
Determine l so that l**2/2 + 1617*l/2 - 77714 = 0.
-1708, 91
Suppose -2*y**4/11 - 448*y**3/11 - 4766*y**2/11 - 17136*y/11 - 20448/11 = 0. Calculate y.
-213, -4, -3
What is m in -3*m**5/2 + 255*m**4/2 + 12318*m**3 - 25134*m**2 = 0?
-59, 0, 2, 142
Suppose 2*v**2 + 104770*v + 209532 = 0. What is v?
-52383, -2
Factor -z**4/2 + 4942*z**3 - 12206739*z**2 - 24428306*z - 24433249/2.
-(z - 4943)**2*(z + 1)**2/2
Suppose a**3/2 - 27*a**2 - 295*a/2 + 6600 = 0. Calculate a.
-16, 15, 55
Factor -3*i**2 + 6795*i + 81972.
-3*(i - 2277)*(i + 12)
Find c, given that -c**2/3 - 3135370*c/3 - 2457636259225/3 = 0.
-1567685
Factor 3*h**2/4 - 5709*h + 22833/4.
3*(h - 7611)*(h - 1)/4
What is d in -d**4/6 + 3584*d**3/3 + 14339*d**2/6 + 1195*d = 0?
-1, 0, 7170
Find z such that -2*z**3/5 - 72*z**2 - 4290*z - 84700 = 0.
-70, -55
Factor 5*x**2 - 218940*x + 2396736180.
5*(x - 21894)**2
Suppose 4*x**4 + 940*x**3 + 39200*x**2 - 2314000*x - 40560000 = 0. What is x?
-130, -15, 40
Factor 57*s**2/7 - 8748*s/7 - 93180/7.
3*(s + 10)*(19*s - 3106)/7
Let 2*g**2 + 131828*g + 2172327698 = 0. Calculate g.
-32957
What is s in 4*s**2 - 145928*s + 1330936324 = 0?
18241
What is j in j**3/9 + 428*j**2 + 17927*j/3 + 188062/9 = 0?
-3838, -7
Factor -h**2/7 - 49626*h/7 - 615684969/7.
-(h + 24813)**2/7
Factor 3*s**5/8 - 315*s**4/2 + 154791*s**3/8 - 2250423*s**2/4.
3*s**2*(s - 189)**2*(s - 42)/8
What is f in -3*f**4/4 - 1573749*f**3/2 + 2360628*f**2 - 4721259*f/2 + 3147507/4 = 0?
-1049169, 1
Determine g so that -g**5 + 225*g**4 + 1387*g**3 - 225*g**2 - 1386*g = 0.
-6, -1, 0, 1, 231
Let -l**3/4 - 112*l**2 + 903*l/4 + 675/2 = 0. Calculate l.
-450, -1, 3
Factor -l**5 - 7*l**4 + 66*l**3 - 146*l**2 + 127*l - 39.
-(l - 3)*(l - 1)**3*(l + 13)
Factor f**2/4 + 1906*f + 11427.
(f + 6)*(f + 7618)/4
Solve a**2 + 186662*a - 186663 = 0 for a.
-186663, 1
Factor 10*i**2 + 7085*i - 7095.
5*(i - 1)*(2*i + 1419)
Determine m so that -6*m**5/5 - 33*m**4/5 - 6*m**3/5 + 48*m**2/5 + 12*m/5 - 3 = 0.
-5, -1, 1/2, 1
Solve t**3/4 + 255*t**2/4 - 1033*t/4 + 777/4 = 0 for t.
-259, 1, 3
Factor 3*c**3/2 - 4719*c**2/2 + 4713*c.
3*c*(c - 1571)*(c - 2)/2
Factor 2*a**3/15 - 99316*a**2/5 + 3698776128*a/5 + 22193848576/15.
2*(a - 74488)**2*(a + 2)/15
Let 2*v**5 - 28*v**4 - 42*v**3 + 172*v**2 + 136*v - 240 = 0. Calculate v.
-2, 1, 2, 15
Factor -3*u**4 - 72*u**3 - 456*u**2 - 288*u + 3024.
-3*(u - 2)*(u + 6)**2*(u + 14)
Let 3*u**2 - 2346*u - 165165 = 0. What is u?
-65, 847
Factor -2*n**3/13 + 127162*n**2/13 + 254330*n/13 + 9782.
-2*(n - 63583)*(n + 1)**2/13
Factor h**2/4 + 7891*h/4 - 1973.
(h - 1)*(h + 7892)/4
Factor -2*v**3 - 354*v**2/5 - 2684*v/5.
-2*v*(v + 11)*(5*v + 122)/5
Solve -3*n**3 - 41199*n**2 + 41202*n = 0.
-13734, 0, 1
What is z in z**5/3 + 74*z**4/3 + 150*z**3 - 2772*z**2 + 9783*z - 10530 = 0?
-65, -18, 3
Factor 3*p**2/7 - 516*p/7 + 22188/7.
3*(p - 86)**2/7
Factor t**4 + 232*t**3 + 13456*t**2.
t**2*(t + 116)**2
Factor -2*x**2/13 + 27938*x/13 - 83796/13.
-2*(x - 13966)*(x - 3)/13
Factor 3*g**4/4 - 86295*g**3/4 + 206863497*g**2 - 661273631028*g + 661066789104.
3*(g - 9588)**3*(g - 1)/4
Let 114*g**3/5 + 1217*g**2/5 + 754*g/5 - 32 = 0. What is g?
-10, -16/19, 1/6
Factor 2*j**2/5 + 352*j - 79378/5.
2*(j - 43)*(j + 923)/5
Factor 4*d**3 + 3175*d**2 + 8707*d + 4746.
(d + 2)*(d + 791)*(4*d + 3)
What is z in 3*z**2 - 1548882*z + 199919620827 = 0?
258147
Factor -h**2/7 - 19*h - 1972/7.
-(h + 17)*(h + 116)/7
Factor 2*x**3 - 252*x**2 + 6370*x.
2*x*(x - 91)*(x - 35)
Find c such that -2*c**2 + 2550*c - 47728 = 0.
19, 1256
Let 2*p**5 + 7910*p**4 + 15810*p**3 - 7910*p**2 - 15812*p = 0. What is p?
-3953, -2, -1, 0, 1
Suppose 5*m**2 - 340*m - 345 = 0. What is m?
-1, 69
Find y such that 3*y**5 - 450*y**4 + 20979*y**3 - 285768*y**2 = 0.
0, 24, 63
Factor 2*m**4/7 + 16112*m**3/7 + 32417328*m**2/7 - 129862720*m/7 + 129927200/7.
2*(m - 2)**2*(m + 4030)**2/7
Suppose 66*t**5 + 488*t**4 + 830*t**3 + 176*t**2 - 120*t = 0. What is t?
-5, -2, -2/3, 0, 3/11
Solve -3*c**2 - 170118*c + 170121 = 0 for c.
-56707, 1
Factor -3*j**3 + 209*j**2 + 28914*j - 29120.
-(j - 1)*(j + 70)*(3*j - 416)
Find b, given that -91*b**2/2 - 320*b - 21/2 = 0.
-7, -3/91
Factor -g**5/5 + 106*g**4/5 + 327*g**3/5.
-g**3*(g - 109)*(g + 3)/5
Factor -a**3/3 - 22*a**2/3 - 112*a/3.
-a*(a + 8)*(a + 14)/3
What is p in -4*p**3 - 992*p**2 - 14848*p = 0?
-232, -16, 0
Factor -2*l**2/3 + 27374*l/3 - 136820/3.
-2*(l - 13682)*(l - 5)/3
Find a, given that 5*a**2/6 - 845*a/3 = 0.
0, 338
Factor 2*i**3/5 + 18*i**2 + 144*i/5 - 4536/5.
2*(i - 6)*(i + 9)*(i + 42)/5
What is m in -3*m**2 + 666*m - 9315 = 0?
15, 207
Let 2*m**5/21 + 4*m**4/21 - 74*m**3/21 + 164*m**2/21 - 32*m/7 = 0. What is m?
-8, 0, 1, 2, 3
Find s such that 2*s**4 + 34384*s**3 - 206358*s**2 + 309564*s = 0.
-17198, 0, 3
What is c in 2*c**4 + 674*c**3 - 9710*c**2 + 41278*c - 49140 = 0?
-351, 2, 5, 7
Let -3*f**3 + 327*f**2 + 9108*f = 0. Calculate f.
-23, 0, 132
Find v such that -2*v**3 - 434*v**2 - 5782*v - 19894 = 0.
-203, -7
Solve -9*v**4 + 2073*v**3 + 1422*v**2 - 8292*v - 5544 = 0 for v.
-2, -2/3, 2, 231
Solve -x**4/2 + 8*x**3 + 67*x**2/2 - 95*x = 0 for x.
-5, 0, 2, 19
Let 2*y**3/21 + 116*y**2/3 + 8690*y/21 = 0. What is y?
-395, -11, 0
Find i such that 165*i**3 - 324*i**2 - 3972*i - 144 = 0.
-4, -2/55, 6
Suppose -2*x**2 + 6928*x - 13848 = 0. Calculate x.
2, 3462
Factor -3*p**3 + 12*p**2 + 36*p.
-3*p*(p - 6)*(p + 2)
Factor 2*q**2 + 5206*q + 220160.
2*(q + 43)*(q + 2560)
Factor 3*c**2/2 - 8681*c/4 - 1447/4.
(c - 1447)*(6*c + 1)/4
Factor h**2/6 + 9166*h/3 + 42007778/3.
(h + 9166)**2/6
Suppose -3*t**4 + 102*t**3 + 1728*t**2 - 30240*t = 0. What is t?
-20, 0, 12, 42
Find q such that -2*q**4/15 + 256*q**3/5 - 3710*q**2/3 - 7984*q/5 + 38664/5 = 0.
-3, 2, 27, 358
Find t, given that -2*t**2/15 + 1946*t/15 + 7816/15 = 0.
-4, 977
Determine s, given that -10*s**5/9 + 302*s**4/3 - 18166*s**3/9 + 8986*s**2/3 - 2992*s/9 - 744 = 0.
-2/5, 1, 27, 62
Solve 4*y**3 - 8616*y**2 + 17220*y - 8608 = 0.
1, 2152
Factor -5*z**2 - 17775*z - 88750.
-5*(z + 5)*(z + 3550)
Factor -v**2/2 - 3879*v/2.
-v*(v + 3879)/2
Solve -658*s**5/3 + 3412*s**4/3 - 4562*s**3/3 + 752*s**2/3 - 8*s = 0 for s.
0, 2/47, 1/7, 2, 3
Factor -2*a**2/17 + 107088*a/17 - 107086/17.
-2*(a - 53543)*(a - 1)/17
Factor 58*d**4 + 128*d**3 + 82*d**2 + 12*d.
2*d*(d + 1)**2*(29*d + 6)
Factor -d**4 + 125*d**3 - 3714*d**2 - 12032*d - 8192.
-(d - 64)**2*(d + 1)*(d + 2)
Find k, given that k**2/5 - 678*k/5 - 24255 = 0.
-147, 825
Solve 16*m**3 + 15564*m**2 - 50712*m + 39040 = 0.
-976, 5/4, 2
Suppose 2*g**4/3 - 4*g**3 - 14*g**2/3 + 24*g + 24 = 0. What is g?
-2, -1, 3, 6
What is a in 4*a**3 + 71316*a**2 + 317837580*a - 317908900 = 0?
-8915, 1
Determine k so that 5844*k**2 - 11648*k - 80 = 0.
-10/1461, 2
Factor 2*z**3/3 + 56*z**2 + 3382*z/3 - 1184.
2*(z - 1)*(z + 37)*(z + 48)/3
What is t in -22*t**3 + 419*t**2 - 415*t + 18 = 0?
1/22, 1, 18
Solve 2*u**5/7 - 102*u**4/7 - 7830*u**3/7 - 49906*u**2/7 - 42180*u/7 = 0 for u.
-37, -6, -1, 0, 95
Factor h**3 + 2387*h**2 - 715944*h + 50714172.
(h - 138)**2*(h + 2663)
Determine g, given that g**2 - 85898*g + 429465 = 0.
5, 85893
Determine s so that 4*s**3/3 + 420*s**2 - 26500*s/3 + 33500 = 0.
-335, 5, 15
D