71)*(q - 16)
Solve -t**2/4 + 4271*t/4 + 12849 = 0.
-12, 4283
Suppose k**2/6 - 197*k/6 + 935/3 = 0. What is k?
10, 187
What is g in -12*g**5 + 303*g**4 - 447*g**3 - 4479*g**2 + 11079*g - 2484 = 0?
-4, 1/4, 3, 23
Solve -4*v**4 - 5332*v**3 + 32136*v**2 = 0 for v.
-1339, 0, 6
Let 14*j**4 + 8468*j**3/11 - 66*j**2 - 33872*j/11 + 40 = 0. What is j?
-55, -2, 1/77, 2
Find o such that -189*o**5 + 336933*o**4 - 240579*o**3 + 16027*o**2 + 19604*o - 3564 = 0.
-2/7, 1/3, 1782
Factor y**2 - 170*y - 5096.
(y - 196)*(y + 26)
Suppose -2*n**5/7 + 78*n**4/7 - 64*n**3/7 - 464*n**2/7 + 288*n/7 + 608/7 = 0. Calculate n.
-2, -1, 2, 38
Determine g so that -8*g**3 + 5550*g**2/7 - 135000*g/7 - 125000/7 = 0.
-25/28, 50
Factor 2*r**3/5 + 14*r**2/5 - 866*r/5 + 170.
2*(r - 17)*(r - 1)*(r + 25)/5
Determine s, given that -4*s**5/5 - 444*s**4/5 - 5852*s**3/5 + 21644*s**2/5 - 1824*s/5 - 5776 = 0.
-95, -19, -1, 2
Find q, given that 2*q**3/5 - 9624*q**2/5 + 19242*q/5 - 1924 = 0.
1, 4810
Factor 5*c**2/2 + 17660*c + 31187560.
5*(c + 3532)**2/2
Find a such that -5*a**4 + 2685*a**3 - 128265*a**2 + 2131375*a - 11938590 = 0.
17, 486
Solve -90*o**3 + 67325*o**2 - 70970*o + 3735 = 0 for o.
1/18, 1, 747
Solve 20*j**5 + 375*j**4 - 2915*j**3 + 5125*j**2 - 3105*j + 500 = 0.
-25, 1/4, 1, 4
Solve 2*x**2 + 1352*x + 33800 = 0 for x.
-650, -26
Determine h so that 4*h**3 + 2080*h**2 + 2076*h = 0.
-519, -1, 0
Factor -3*q**4/2 + 18351*q**3/2 + 18357*q**2.
-3*q**2*(q - 6119)*(q + 2)/2
Factor 2*z**3/9 - 332*z**2/9 + 1930*z/9 - 1600/9.
2*(z - 160)*(z - 5)*(z - 1)/9
Factor 3*l**3 - 384*l**2 + 16263*l - 228150.
3*(l - 50)*(l - 39)**2
Factor 8*y**3 + 566*y**2 + 2462*y - 3036.
2*(y - 1)*(y + 66)*(4*y + 23)
Determine x so that 3*x**5/4 - 237*x**4/2 + 12831*x**3/2 - 127143*x**2 + 1662039*x/4 + 2785671/2 = 0.
-2, 7, 51
Determine d, given that -2*d**5 - 108*d**4 - 1904*d**3 - 12192*d**2 - 29216*d - 23232 = 0.
-22, -6, -2
Let -2*n**4/5 + 4*n**3 + 82*n**2/5 - 804*n/5 - 864/5 = 0. What is n?
-6, -1, 8, 9
Find c, given that c**3/4 - 13497*c**2/2 - 53991*c/4 - 6749 = 0.
-1, 26996
Find i, given that -i**2 - 37856*i - 358269184 = 0.
-18928
Suppose c**5/2 + 73*c**4/8 + 73*c**3/4 + 4*c**2 = 0. Calculate c.
-16, -2, -1/4, 0
Suppose a**3/7 + 15*a**2/7 + 2*a = 0. What is a?
-14, -1, 0
Find m such that 2*m**3/15 - 124*m**2/5 + 4326*m/5 - 42336/5 = 0.
21, 144
Suppose u**2/8 - 1067*u/4 + 14889/8 = 0. Calculate u.
7, 2127
Factor 3*u**4 + 318*u**3 + 6192*u**2 - 49248*u.
3*u*(u - 6)*(u + 36)*(u + 76)
Factor g**3/4 - 249*g**2/4 - 577*g - 903.
(g - 258)*(g + 2)*(g + 7)/4
Factor -2*s**4/5 + 5116*s**3/5 - 3261434*s**2/5 - 13107192*s/5 - 13127688/5.
-2*(s - 1281)**2*(s + 2)**2/5
Suppose -2*p**4 - 496*p**3 - 28172*p**2 + 319920*p - 832050 = 0. What is p?
-129, 5
Determine p, given that 2*p**2/9 - 145400*p + 23783805000 = 0.
327150
Find p, given that -p**3/8 - 25*p**2/4 + 289*p/8 + 7225/4 = 0.
-50, -17, 17
Factor 2*h**2/5 + 3372*h/5 + 157248/5.
2*(h + 48)*(h + 1638)/5
Solve -2*y**5 - 30*y**4 + 542*y**3 - 1130*y**2 - 8100*y + 26000 = 0 for y.
-26, -4, 5
Factor 4*p**3 + 4*p**2 - 56*p - 96.
4*(p - 4)*(p + 2)*(p + 3)
Solve -3*d**2 - 58935*d - 235692 = 0.
-19641, -4
Factor -143*a**3 - 1289*a**2 - 18*a.
-a*(a + 9)*(143*a + 2)
What is l in -3*l**2 + 1032*l - 77589 = 0?
111, 233
Factor x**3/5 + 22*x**2/5 + 103*x/5 - 126/5.
(x - 1)*(x + 9)*(x + 14)/5
Find j, given that -2*j**3/7 - 1136*j**2/7 + 11542*j/7 - 10404/7 = 0.
-578, 1, 9
What is u in -27*u**2/4 + 757*u/8 - 7/4 = 0?
1/54, 14
Suppose -3*k**2 - 168*k + 40131 = 0. What is k?
-147, 91
Suppose -39*n**2/4 - 13113*n + 4035/4 = 0. Calculate n.
-1345, 1/13
Solve m**2 + 4534*m + 13593 = 0 for m.
-4531, -3
Factor -3*c**5 + 63*c**4 - 297*c**3 - 363*c**2.
-3*c**2*(c - 11)**2*(c + 1)
Let 3*u**4/4 + 13*u**3 - 993*u**2/4 - 1319*u/2 + 546 = 0. Calculate u.
-28, -3, 2/3, 13
Suppose 4*n**3/9 - 26*n**2 + 674*n/9 - 148/3 = 0. What is n?
1, 2, 111/2
Determine t so that 2*t**2 + 260988*t - 260990 = 0.
-130495, 1
Suppose -3*v**5/7 + 54*v**4 + 3246*v**3/7 - 3996*v**2/7 - 3243*v/7 + 3618/7 = 0. Calculate v.
-9, -1, 1, 134
Suppose t**3/6 - 11687*t**2/2 + 51234344*t - 768076960/3 = 0. Calculate t.
5, 17528
Factor 2*p**3/9 + 109664*p**2/9 + 877216*p/9 + 1754368/9.
2*(p + 4)**2*(p + 54824)/9
Factor 3*s**2/7 + 465*s/7 + 1368/7.
3*(s + 3)*(s + 152)/7
Factor -v**3/4 - 661*v**2/4 - 657*v.
-v*(v + 4)*(v + 657)/4
Let -2*u**4/17 + 734*u**3/17 - 94806*u**2/17 + 5227578*u/17 - 105122880/17 = 0. What is u?
69, 160
Factor a**3/2 - 4554*a**2 - 200739*a/2 - 552365.
(a - 9130)*(a + 11)**2/2
Suppose 3*q**2/8 - 100413*q + 6721847046 = 0. Calculate q.
133884
Factor -2*v**3/3 - 137204*v**2/3 - 784326664*v + 1568836272.
-2*(v - 2)*(v + 34302)**2/3
Find o such that o**3 - 5409*o**2 + 7129752*o + 502275148 = 0.
-67, 2738
What is v in 2*v**5 - 420*v**4 + 4978*v**3 + 107160*v**2 - 1411200*v = 0?
-16, 0, 15, 196
Factor 34*j**4/15 + 28*j**3/15 - 2*j**2/5.
2*j**2*(j + 1)*(17*j - 3)/15
Let -5*h**3/3 + 3185*h**2 - 3180*h - 19100/3 = 0. Calculate h.
-1, 2, 1910
Suppose w**3/2 - 882*w**2 + 43499*w/2 - 20868 = 0. Calculate w.
1, 24, 1739
Let -5*u**5 - 115*u**4 - 600*u**3 - 560*u**2 + 1280*u = 0. Calculate u.
-16, -4, 0, 1
Factor -3*n**3 + 906*n**2 - 5355*n + 7992.
-3*(n - 296)*(n - 3)**2
Solve -k**5/10 - 27*k**4/5 - 11*k**3/5 + 8916*k**2/5 - 160321*k/10 + 201243/5 = 0.
-37, 6, 7
Factor d**4/2 - 69*d**3/2 + 171*d**2 + 1114*d + 1260.
(d - 63)*(d - 10)*(d + 2)**2/2
Let h**3 - 35*h**2 + 32*h + 68 = 0. Calculate h.
-1, 2, 34
Let k**3/2 + 157*k**2/2 + 308*k + 306 = 0. What is k?
-153, -2
What is p in -2*p**2/5 - 12*p/5 + 3760 = 0?
-100, 94
Find q such that -525*q**2/2 + 42135*q - 16812 = 0.
2/5, 5604/35
Let -45*n**5 + 5345*n**4 + 12125*n**3 - 2925*n**2 - 12080*n - 2420 = 0. Calculate n.
-2, -1, -2/9, 1, 121
Factor 7*k**5/5 - 1852*k**4/5 + 123024*k**3/5 - 69696*k**2/5.
k**2*(k - 132)**2*(7*k - 4)/5
Suppose 3*q**5 - 4794*q**4 - 3*q**3 + 4794*q**2 = 0. What is q?
-1, 0, 1, 1598
Suppose 9*p**5 + 2301*p**4 + 6093*p**3 + 5319*p**2 + 1518*p = 0. What is p?
-253, -1, -2/3, 0
Factor -2*m**3 + 66*m**2 + 2780*m - 88800.
-2*(m - 40)*(m - 30)*(m + 37)
Suppose -5*m**5 - 480*m**4 + 520*m**3 + 3390*m**2 - 515*m - 2910 = 0. What is m?
-97, -2, -1, 1, 3
Factor -m**2/6 - 156*m + 2835/2.
-(m - 9)*(m + 945)/6
Solve g**3 + 12396*g**2 + 38415204*g = 0.
-6198, 0
Determine u so that -2*u**2 - 586438*u - 586436 = 0.
-293218, -1
Let -2*o**4 + 240*o**3 - 6378*o**2 - 13484*o - 6864 = 0. What is o?
-1, 44, 78
Solve 3*n**2 + 3441*n + 6870 = 0 for n.
-1145, -2
Determine k so that -40*k**3 - 53175*k**2 - 495135*k - 178200 = 0.
-1320, -9, -3/8
Factor 5*j**4/2 - 65145*j**3/2 + 141494925*j**2 - 205073115910*j + 613946772660.
5*(j - 4342)**3*(j - 3)/2
Solve 3*g**3 + 5430*g**2 + 2478651*g + 19483224 = 0.
-901, -8
Suppose -z**2/2 + 5535*z/2 + 13850 = 0. Calculate z.
-5, 5540
Find o such that 4*o**4 - 524*o**3 - 13920*o**2 - 38032*o - 24640 = 0.
-20, -2, -1, 154
Factor -3*l**2 + 48249*l + 144774.
-3*(l - 16086)*(l + 3)
Factor 5*x**3 + 10990*x**2 + 2693925*x + 175689000.
5*(x + 135)**2*(x + 1928)
Let 4*r**4 - 648*r**3 + 25564*r**2 + 648*r - 25568 = 0. What is r?
-1, 1, 68, 94
Suppose 3*s**5 - 84762*s**4 + 169512*s**3 + 6*s**2 - 169515*s + 84756 = 0. Calculate s.
-1, 1, 28252
Determine z, given that -2*z**5/11 + 1834*z**4/11 - 25302*z**3/11 + 15606*z**2/11 + 585144*z/11 = 0.
-4, 0, 9, 903
Factor w**4 - 114*w**3 + 4228*w**2 - 49278*w - 53621.
(w - 43)**2*(w - 29)*(w + 1)
Find u such that -27*u**5 + 823242*u**4 - 6036781*u**3/3 + 4786660*u**2/3 - 1341476*u/3 + 121952/3 = 0.
2/9, 1, 30488
Factor -10318*d**2/5 - 4*d/5.
-2*d*(5159*d + 2)/5
Solve -2*r**2/5 + 86484*r/5 - 934935282/5 = 0 for r.
21621
Factor -3*v**2/2 + 64341*v/2 - 32169.
-3*(v - 21446)*(v - 1)/2
Factor 3*q**4/2 - 3030*q**3.
3*q**3*(q - 2020)/2
Determine u, given that 6*u**5 + 166*u**4 - 126*u**3 - 14046*u**2 - 22760*u - 9000 = 0.
-25, -10, -1, -2/3, 9
Let 4*f**3/3 - 39692*f**2/3 - 4*f/3 + 39692/3 = 0. What is f?
-1, 1, 9923
Factor -5*k**2 + 2860*k - 11360.
-5*(k - 568)*(k - 4)
Suppose l**2 - 498*l + 54945 = 0. What is l?
165, 333
What is r in -3*r**4 + 189*r**3 + 3609*r**2 - 5181*r - 198198 = 0?
-11, 7, 78
Solve -27*m**5 - 372*m**4 - 1536*m**3 - 1854*m**2 - 453*m + 210 = 0 for m.
-7, -5, -1, 2/9
Factor -5*h**5 + 125*h**4 - 1130*