, 1, 4
What is y in 2*y**4 + 3136*y**3 - 12568*y**2 + 12576*y = 0?
-1572, 0, 2
Solve -7*y**3 - 1349*y**2 + 386*y = 0.
-193, 0, 2/7
Factor q**4/5 - 8*q**3/5 - 17*q**2/5 + 204*q/5 - 36.
(q - 6)**2*(q - 1)*(q + 5)/5
Factor -675*n**2 - 4140*n - 6348.
-3*(15*n + 46)**2
Determine h, given that -45*h**4 + 840*h**3 + 3160*h**2 + 3040*h + 880 = 0.
-2, -2/3, 22
Solve 5*q**4 + 105*q**3 + 285*q**2 + 275*q + 90 = 0.
-18, -1
Find m such that 5*m**5 + 30*m**4 + 45*m**3 + 20*m**2 = 0.
-4, -1, 0
Determine q, given that 5*q**2 - 80*q - 180 = 0.
-2, 18
Suppose 15*l**3 + 20*l**2 + 5*l = 0. What is l?
-1, -1/3, 0
Factor t**2/6 + t/2 - 5/3.
(t - 2)*(t + 5)/6
Factor s**4/4 - 3*s**3/2 - 51*s**2/4 + 56*s + 147.
(s - 7)**2*(s + 2)*(s + 6)/4
Suppose 6*d**5/7 - 52*d**4/7 + 18*d**3 - 48*d**2/7 - 32*d/7 = 0. What is d?
-1/3, 0, 1, 4
Factor -2*p**2/3 - 100*p/3 + 208/3.
-2*(p - 2)*(p + 52)/3
Let 5*i**2 - 160*i + 1280 = 0. Calculate i.
16
Factor i**3/4 + 11*i**2/4 + 6*i.
i*(i + 3)*(i + 8)/4
What is t in 2*t**4 - 10*t**3 + 8*t**2 = 0?
0, 1, 4
Solve -2*m**4 + 4*m**3 - 2*m**2 = 0.
0, 1
Factor -2*h**3/9 + 110*h**2/9 - 1456*h/9 - 1568/9.
-2*(h - 28)**2*(h + 1)/9
Determine f so that 3*f**2/4 - 105*f/4 + 51/2 = 0.
1, 34
Factor 2*g**3/3 - 340*g**2/3 + 14450*g/3.
2*g*(g - 85)**2/3
Suppose h**3/7 + 13*h**2/7 + 48*h/7 + 36/7 = 0. What is h?
-6, -1
Factor -5*k**5 + 15*k**4 - 15*k**3 + 5*k**2.
-5*k**2*(k - 1)**3
Suppose 2*h**4/17 + 16*h**3/17 - 2*h**2 - 24*h - 360/17 = 0. Calculate h.
-6, -1, 5
Suppose h**4/2 + 29*h**3/2 + 52*h**2 + 50*h = 0. Calculate h.
-25, -2, 0
Suppose 4*i**4/11 - 14*i**3/11 + 6*i**2/11 = 0. What is i?
0, 1/2, 3
Factor -2*d**2/5 + 6*d.
-2*d*(d - 15)/5
Solve 40*l**5 - 404*l**4 + 1172*l**3 - 484*l**2 - 1308*l - 360 = 0 for l.
-1/2, -2/5, 3, 5
Factor k**2 - 162*k + 6561.
(k - 81)**2
Factor -l**2/4 - 91*l/2 + 555/4.
-(l - 3)*(l + 185)/4
Solve 5*v**2 - 90*v = 0 for v.
0, 18
Find p such that -6*p**5 + 8*p**4 + 490*p**3 + 316*p**2 - 160*p = 0.
-8, -1, 0, 1/3, 10
Factor a**2/9 - a/9 - 20/9.
(a - 5)*(a + 4)/9
Factor 4*g**3 + 988*g**2 - 1992*g.
4*g*(g - 2)*(g + 249)
Let -2*t**5 + 2*t**4 = 0. What is t?
0, 1
Factor 4*t**3 - 2644*t**2 + 432928*t + 1322688.
4*(t - 332)**2*(t + 3)
Factor 55*g**3 - 6830*g**2 + 21205*g - 3630.
5*(g - 121)*(g - 3)*(11*g - 2)
Factor 4*v**3 - 32*v**2 - 52*v + 560.
4*(v - 7)*(v - 5)*(v + 4)
Solve -5*c**4 - 95*c**3 - 285*c**2 + 1595*c - 1210 = 0 for c.
-11, 1, 2
Solve -3*y**4 - 84*y**3 - 639*y**2 - 390*y + 4056 = 0 for y.
-13, -4, 2
Let 3*f**3/8 + 59*f**2/8 - 5*f/2 = 0. Calculate f.
-20, 0, 1/3
Let r**3/11 + 205*r**2/11 + 10608*r/11 + 10404/11 = 0. Calculate r.
-102, -1
Factor -u**2/8 - 21*u/8 + 23/4.
-(u - 2)*(u + 23)/8
Solve -k**4/4 + k**3/2 + 39*k**2/4 + 17*k + 8 = 0.
-4, -1, 8
Factor -a**2/4 - 9*a/2 - 65/4.
-(a + 5)*(a + 13)/4
What is a in 5*a**2 + 4850*a + 9680 = 0?
-968, -2
Factor 68*q**2/3 + 4*q.
4*q*(17*q + 3)/3
Suppose g**4/8 - g**3 - 19*g**2/8 + 49*g/4 - 9 = 0. What is g?
-4, 1, 2, 9
Factor -4*i**2/5 + 24*i + 1216/5.
-4*(i - 38)*(i + 8)/5
Factor -5*j**4 - 540*j**3 - 14190*j**2 + 184900*j + 8348235.
-5*(j - 21)*(j + 43)**3
Factor -h**5 + 246*h**4 - 15373*h**3 + 30012*h**2 - 14884*h.
-h*(h - 122)**2*(h - 1)**2
Factor m**3/2 + 8*m**2 + 32*m.
m*(m + 8)**2/2
Let f**3/3 + 83*f**2/3 + 1955*f/3 + 14161/3 = 0. What is f?
-49, -17
What is i in -2*i**5/5 + 4*i**4 + 472*i**3/5 + 2628*i**2/5 + 5994*i/5 + 4968/5 = 0?
-4, -3, 23
Let -v**5 + 8*v**4 + 2*v**3 - 16*v**2 - v + 8 = 0. What is v?
-1, 1, 8
Determine v so that -3*v**5/4 + 33*v**4/4 - 45*v**3/4 - 201*v**2/4 - 30*v = 0.
-1, 0, 5, 8
Factor -5*o**3 - 1030*o**2 - 53045*o.
-5*o*(o + 103)**2
Factor 21*z**4 - 90*z**3 + 129*z**2 - 72*z + 12.
3*(z - 2)*(z - 1)**2*(7*z - 2)
Suppose -16*w**4 + 20*w**3 + 28*w**2 - 8*w = 0. Calculate w.
-1, 0, 1/4, 2
Factor -v**4 + 12*v**3 - 10*v**2 - 12*v + 11.
-(v - 11)*(v - 1)**2*(v + 1)
Solve 8*p**3/7 + 116*p**2/7 - 64*p/7 - 60/7 = 0 for p.
-15, -1/2, 1
Solve 2*w**2/11 + 26*w/11 - 336/11 = 0.
-21, 8
Suppose -15*j**5 - 17360*j**4 - 40450*j**3 - 28880*j**2 - 5775*j = 0. What is j?
-1155, -1, -1/3, 0
Factor 4*u**3 - 96*u**2 + 468*u - 648.
4*(u - 18)*(u - 3)**2
Factor -3*c**3/2 - 93*c**2/2 - 45*c.
-3*c*(c + 1)*(c + 30)/2
Solve -b**2 + 61*b = 0 for b.
0, 61
Factor -5*h**2/2 - 100*h - 1955/2.
-5*(h + 17)*(h + 23)/2
Solve -5*b**2 + 5140*b - 1320980 = 0.
514
Factor 3*w**2/7 - 3*w.
3*w*(w - 7)/7
What is c in -2*c**5/5 + 54*c**4/5 - 388*c**3/5 + 284*c**2/5 + 78*c - 338/5 = 0?
-1, 1, 13
Let q**3/4 + 9*q**2/4 - 11*q/2 = 0. Calculate q.
-11, 0, 2
Factor 4*q**4 + 24*q**3 + 36*q**2 + 16*q.
4*q*(q + 1)**2*(q + 4)
Determine n, given that -60*n**4 - 399*n**3 + 720*n**2 + 588*n + 96 = 0.
-8, -2/5, -1/4, 2
Solve 2*s**5 - 7*s**4/2 - s**3 + 4*s**2 - s - 1/2 = 0 for s.
-1, -1/4, 1
Suppose 2*w**2/3 - 104*w + 4056 = 0. What is w?
78
Find z, given that -9*z**3 - 461*z**2 - 984*z - 196 = 0.
-49, -2, -2/9
Suppose -2*p**5/3 + 22*p**4/3 - 26*p**3 + 122*p**2/3 - 88*p/3 + 8 = 0. Calculate p.
1, 2, 6
Factor -3*o**2 + 978*o - 79707.
-3*(o - 163)**2
Suppose 3*s**3 + 90*s**2 + 675*s + 1500 = 0. Calculate s.
-20, -5
Factor 22733824*i**2/3 + 9536*i/3 + 1/3.
(4768*i + 1)**2/3
Determine y, given that 5*y**4/2 + 145*y**3 + 6005*y**2/2 + 26100*y + 81000 = 0.
-20, -9
Determine t, given that -3*t**2 + 69*t + 150 = 0.
-2, 25
Find x such that -4*x**4 - 208*x**3 - 972*x**2 - 1520*x - 752 = 0.
-47, -2, -1
Let 2*r**4/17 - 124*r**3/17 - 798*r**2/17 - 72*r = 0. What is r?
-3, 0, 68
Find j, given that 3*j**3 - 84*j**2 - 1407*j - 1320 = 0.
-11, -1, 40
Find l, given that 2*l**4/13 - 98*l**3/13 + 1650*l**2/13 - 10438*l/13 + 1156 = 0.
2, 13, 17
Factor 3*t**4 - 30*t**3 + 69*t**2 - 42*t.
3*t*(t - 7)*(t - 2)*(t - 1)
Find g, given that g**2/2 + 291*g/2 - 146 = 0.
-292, 1
Solve -25*g**2 + 2015*g + 810 = 0.
-2/5, 81
Suppose 2*k**5/3 + 4*k**4 + 16*k**3/3 - 4*k**2 - 6*k = 0. What is k?
-3, -1, 0, 1
Suppose -m**3/2 + 57*m**2/2 - 204*m + 392 = 0. What is m?
4, 49
Let 81*x**4 - 2925*x**3 - 2679*x**2 + 549*x + 222 = 0. Calculate x.
-1, -2/9, 1/3, 37
Factor -2*g**3 - 25*g**2 - 36*g + 63.
-(g - 1)*(g + 3)*(2*g + 21)
Let 3*m**2 + 39*m + 126 = 0. What is m?
-7, -6
Factor k**3/9 - 2*k**2/3 + 32/9.
(k - 4)**2*(k + 2)/9
Factor 5*l**2 - 70*l + 65.
5*(l - 13)*(l - 1)
What is o in o**4/2 + 9*o**3/2 + 21*o**2/2 + 19*o/2 + 3 = 0?
-6, -1
What is v in -3*v**5 + 33*v**3 - 54*v**2 + 24*v = 0?
-4, 0, 1, 2
Factor u**5/4 + 5*u**4/2 + 15*u**3/2 + 10*u**2 + 25*u/4 + 3/2.
(u + 1)**4*(u + 6)/4
Let n**5/3 - 5*n**4/6 + n**3/3 = 0. What is n?
0, 1/2, 2
Factor 3*w**3 + 468*w**2 + 1836*w + 1824.
3*(w + 2)**2*(w + 152)
Suppose -4*j**2 - 256*j - 4096 = 0. What is j?
-32
Suppose -4*i**3 - 128*i**2 + 1456*i + 54080 = 0. What is i?
-26, 20
What is d in -d**4 - 56*d**3 - 258*d**2 - 144*d + 459 = 0?
-51, -3, 1
Factor 2*c**3/5 - 122*c**2/5 - 252*c/5.
2*c*(c - 63)*(c + 2)/5
Determine s, given that -6*s**2 + 122*s/7 + 12/7 = 0.
-2/21, 3
Find h such that 2*h**2/7 - 474*h/7 - 956/7 = 0.
-2, 239
Suppose -54*l**5 + 102*l**4 - 38*l**3 - 14*l**2 + 4*l = 0. Calculate l.
-1/3, 0, 2/9, 1
Solve 5*y**3/4 + 28*y**2 - 71*y/4 - 23/2 = 0 for y.
-23, -2/5, 1
Suppose -2*r**4 - 6*r**3 + 150*r**2 + 238*r - 2940 = 0. Calculate r.
-7, 5, 6
Factor 12*u**3 - 56*u**2 - 28*u + 40.
4*(u - 5)*(u + 1)*(3*u - 2)
Factor 2*f**4 - 14*f**3 + 10*f**2 + 14*f - 12.
2*(f - 6)*(f - 1)**2*(f + 1)
Factor -4*v**4 + 20*v**3 - 16*v**2.
-4*v**2*(v - 4)*(v - 1)
Factor 2*u**4 - 24*u**3 + 94*u**2 - 120*u.
2*u*(u - 5)*(u - 4)*(u - 3)
Find r such that 3*r**5/4 - 9*r**4/2 + 9*r**3 - 15*r**2/2 + 9*r/4 = 0.
0, 1, 3
Factor -2*p**2/11 + 10*p/11 - 12/11.
-2*(p - 3)*(p - 2)/11
Find c such that 3*c**3/2 - 101*c**2/2 + 81*c - 32 = 0.
2/3, 1, 32
Factor -4*k**4 - 32*k**3 + 332*k**2 + 2088*k - 5184.
-4*(k - 8)*(k - 2)*(k + 9)**2
Suppose 328509*t**3/8 + 14283*t**2/4 + 207*t/2 + 1 = 0. What is t?
-2/69
Factor -f**2/5 + 904*f/5 - 204304/5.
-(f - 452)**2/5
Factor 4*w**4/7 - 164*w**3/7 - 340*w**2/7 - 172*w/7.
4*w*(w - 43)*(w + 1)**2/7
Find y such that -6*y**5 + 10359*y**4/2 + 59835*y**3/2 + 54717*y**2 + 26082*y - 10428 = 0.
-2, 1/4, 869
Suppose d**2/6 - 7*d/2 = 0. Calculate d.
0, 21
Determine w so that 75*w**5 + 12695*w**4 + 545160*w**3 + 670300*w**2 - 3360*w - 141120 = 0.
-84, -1, -2/3, 2/5
What is n in 3*n**5 + 27*n**4 - 198*n**3 + 168*n**