ven that 4*d**3/9 - 20*d**2/3 - 32*d - 304/9 = 0.
-2, 19
Suppose 3*d**3/8 + 99*d**2/8 + 45*d/4 - 24 = 0. Calculate d.
-32, -2, 1
Factor 2*l**3 + 66*l**2 + 340*l + 432.
2*(l + 2)*(l + 4)*(l + 27)
Factor 35*f**3 - 19465*f**2 + 2707720*f - 386420.
5*(f - 278)**2*(7*f - 1)
Factor 45*w**3/2 + 25935*w**2/2 - 17305*w/2 + 2885/2.
5*(w + 577)*(3*w - 1)**2/2
Factor b**2/4 + 59*b/2 - 119/4.
(b - 1)*(b + 119)/4
Factor 2*i**2 + 19*i - 33.
(i + 11)*(2*i - 3)
Determine r, given that -r**2 + 95*r - 94 = 0.
1, 94
Let 21*u**5/2 + 47*u**4/4 - 249*u**3/4 - 8*u**2 + 3*u = 0. Calculate u.
-3, -2/7, 0, 1/6, 2
Solve 2*b**5 - 2*b**4 - 44*b**3 - 4*b**2 + 138*b - 90 = 0 for b.
-3, 1, 5
Determine d, given that 21*d**4/5 + 41*d**3/5 - 149*d**2/5 + 91*d/5 - 4/5 = 0.
-4, 1/21, 1
Solve -49*x**3 + 98*x**2 - 59*x + 10 = 0.
2/7, 5/7, 1
Suppose -2*g**2/15 + 112*g/15 = 0. What is g?
0, 56
Factor -m**2/5 - 226*m/5 + 423.
-(m - 9)*(m + 235)/5
Solve -14*r**4/5 + 4*r**3/5 + 98*r**2/5 - 112*r/5 + 24/5 = 0.
-3, 2/7, 1, 2
Factor -o**2/6 - 85*o/6 + 43/3.
-(o - 1)*(o + 86)/6
Factor -62*l**2/5 - 8*l/5.
-2*l*(31*l + 4)/5
What is z in -2*z**5/3 - 8*z**4/3 - 2*z**3 = 0?
-3, -1, 0
Find y, given that -164*y**2/5 - 172*y/5 - 8/5 = 0.
-1, -2/41
Solve -5*b**2 - 60*b + 225 = 0.
-15, 3
Find m, given that 2*m**3/5 + 71*m**2/5 + 612*m/5 - 324/5 = 0.
-18, 1/2
Factor 4*a**3 - 18*a**2 + 14*a + 12.
2*(a - 3)*(a - 2)*(2*a + 1)
Suppose -k**2/5 + 27*k/5 - 10 = 0. Calculate k.
2, 25
Factor 3*v**2 + 4146*v + 1432443.
3*(v + 691)**2
Factor q**2/5 + 326*q/5 + 26569/5.
(q + 163)**2/5
Factor -g**2/7 - g - 12/7.
-(g + 3)*(g + 4)/7
Let -t**5/3 + 482*t**4/3 + 1940*t**3/3 + 648*t**2 = 0. Calculate t.
-2, 0, 486
Let y**3/4 - 3*y**2/4 - 49*y/4 - 45/4 = 0. Calculate y.
-5, -1, 9
Suppose 135*v**5 - 135*v**4 - 90*v**3 + 130*v**2 - 45*v + 5 = 0. Calculate v.
-1, 1/3, 1
Determine w, given that -10*w**5 - 1645*w**4 - 2430*w**3 + 2455*w**2 + 1630*w = 0.
-163, -2, -1/2, 0, 1
Factor -6*v**4 - 8*v**3 + 10*v**2 + 4*v.
-2*v*(v - 1)*(v + 2)*(3*v + 1)
Suppose j**2/7 - 26*j/7 - 27/7 = 0. What is j?
-1, 27
Factor 3*s**4 - 12*s**3 + 18*s**2 - 12*s + 3.
3*(s - 1)**4
Factor 3*a**3/5 - 201*a/5 + 378/5.
3*(a - 7)*(a - 2)*(a + 9)/5
Factor 2*q**2/3 - 178*q/3 - 60.
2*(q - 90)*(q + 1)/3
Suppose f**5 + 15*f**4 + 82*f**3 + 192*f**2 + 160*f = 0. Calculate f.
-5, -4, -2, 0
Let 4*m**5/3 + 17*m**4 + 79*m**3/3 + 7*m**2 - 11*m/3 = 0. What is m?
-11, -1, 0, 1/4
Factor -2*s**2/7 + 46*s/7 + 660/7.
-2*(s - 33)*(s + 10)/7
Determine h, given that -2*h**2/3 + 79*h/3 + 40/3 = 0.
-1/2, 40
Determine t so that -2*t**4/11 - 30*t**3/11 - 28*t**2/11 = 0.
-14, -1, 0
Solve m**4/2 - 61*m**3/2 - m**2/2 + 61*m/2 = 0 for m.
-1, 0, 1, 61
Factor -2*g**2 + 4*g + 30.
-2*(g - 5)*(g + 3)
Factor -2*s**2/5 - 200*s - 5928/5.
-2*(s + 6)*(s + 494)/5
Factor -2*p**2/9 + 10*p/3 + 68/9.
-2*(p - 17)*(p + 2)/9
Determine f so that -36*f**3 + 376*f**2 + 5024*f - 2304 = 0.
-8, 4/9, 18
Suppose 231*h**3 - 1368*h**2 + 1971*h + 162 = 0. What is h?
-6/77, 3
Factor y**2 + 14*y - 15.
(y - 1)*(y + 15)
Factor -2*d**5/11 - 10*d**4/11 + 10*d**3/11 + 90*d**2/11 - 216/11.
-2*(d - 2)**2*(d + 3)**3/11
Determine q, given that -q**4/4 - 5*q**3/4 + 2*q**2 + 12*q = 0.
-4, 0, 3
Let -36*o**3 + 274*o**2 + 434*o + 144 = 0. What is o?
-8/9, -1/2, 9
Solve s**3 + 41*s**2 + 280*s + 528 = 0.
-33, -4
Factor -w**2/6 - 499*w/6 + 250/3.
-(w - 1)*(w + 500)/6
Determine o, given that -4*o**3 - 364*o**2 - 8096*o + 8464 = 0.
-46, 1
Determine i, given that -5*i**2 + 445*i + 1860 = 0.
-4, 93
Suppose -5*a**3/2 - 379*a**2/4 - 893*a + 361/4 = 0. What is a?
-19, 1/10
Suppose 2*f**3/7 - 606*f**2/7 - 1220*f/7 = 0. Calculate f.
-2, 0, 305
Factor 50*n**3 - 3790*n**2 + 3008*n - 600.
2*(n - 75)*(5*n - 2)**2
Find b such that 3*b**2 + 162*b - 165 = 0.
-55, 1
Suppose 12*m**5 - 76*m**4 - 596*m**3 - 276*m**2 + 584*m + 352 = 0. Calculate m.
-4, -1, -2/3, 1, 11
Solve 3*b**2 - 2148*b + 384492 = 0 for b.
358
What is x in -2*x**2/5 + 1576*x/5 - 310472/5 = 0?
394
Solve 6*g**4/19 - 2*g**3/19 - 18*g**2/19 + 18*g/19 - 4/19 = 0.
-2, 1/3, 1
Find d, given that -2*d**3 + 6*d**2 + 18*d - 54 = 0.
-3, 3
Find z, given that -102*z**4 - 18*z**3 + 153*z**2/2 - 12*z - 9/2 = 0.
-1, -3/17, 1/2
Solve 34*h**4 + 70*h**3 - 98*h**2 - 6*h = 0 for h.
-3, -1/17, 0, 1
Determine l so that 5*l**3 + 100*l**2 - 460*l + 480 = 0.
-24, 2
Factor -2*g**3/7 + 6*g**2/7 + 144*g/7 + 352/7.
-2*(g - 11)*(g + 4)**2/7
Find i such that -25*i**4 - 290*i**3 - 780*i**2 + 360*i = 0.
-6, 0, 2/5
Factor -2*o**3/5 - 4*o**2/5 + 2*o/5 + 4/5.
-2*(o - 1)*(o + 1)*(o + 2)/5
Let d**2/3 - d = 0. What is d?
0, 3
Let -5*g**3 - 35*g**2 - 50*g = 0. What is g?
-5, -2, 0
What is u in 3*u**4 - 41*u**3 + 310*u**2/3 + 196*u + 72 = 0?
-2/3, 6, 9
Factor 4*x**4 - 212*x**3 + 2912*x**2 - 2704*x.
4*x*(x - 26)**2*(x - 1)
Suppose m**2 - 27*m + 50 = 0. Calculate m.
2, 25
Solve 2*s**3 - 196*s**2/5 - 16*s = 0.
-2/5, 0, 20
Find w, given that 4*w**5/5 - 4*w**4 + 28*w**3/5 - 12*w**2/5 = 0.
0, 1, 3
Suppose f**4 - 13*f**3 - 129*f**2 - 215*f - 100 = 0. Calculate f.
-5, -1, 20
Determine m, given that -m**3/11 + 9*m**2/11 + 181*m/11 + 171/11 = 0.
-9, -1, 19
Factor -2*c**3/11 + 6*c**2/11 + 98*c/11 + 90/11.
-2*(c - 9)*(c + 1)*(c + 5)/11
Factor -14*d**3/17 + 12*d**2/17 + 2*d/17.
-2*d*(d - 1)*(7*d + 1)/17
Factor 2*n**2/7 + 10*n/7 - 4.
2*(n - 2)*(n + 7)/7
Solve u**3/4 - 3*u**2/2 + 9*u/4 = 0 for u.
0, 3
Factor 2*u**2 - 382*u + 3276.
2*(u - 182)*(u - 9)
Factor 2*x**4/9 - 16*x**3/9 - 22*x**2/9 + 4*x.
2*x*(x - 9)*(x - 1)*(x + 2)/9
Let -14*q**5 + 139*q**4 - 2066*q**3/7 + 41*q**2 + 764*q/7 + 20 = 0. What is q?
-2/7, 1, 5/2, 7
Solve 5*f**3 - 10*f**2 - 40*f = 0 for f.
-2, 0, 4
Suppose 3*k**2/4 + 3*k/2 - 18 = 0. Calculate k.
-6, 4
What is t in 2*t**2/15 + 32*t/5 + 94/15 = 0?
-47, -1
Find g, given that -2*g**5/5 + 112*g**4/5 - 1148*g**3/5 + 4168*g**2/5 - 1066*g + 440 = 0.
1, 5, 44
Suppose 4*p**5 + 876*p**4 - 5352*p**3 + 10768*p**2 - 7200*p = 0. Calculate p.
-225, 0, 2
Let 2*k**2 - 74*k + 464 = 0. What is k?
8, 29
Find w, given that 2*w**5 + 17*w**4 + 21*w**3 - w**2 - 7*w = 0.
-7, -1, 0, 1/2
Solve 5*y**3 + 545*y**2 - 5*y - 545 = 0 for y.
-109, -1, 1
Determine i, given that -54*i**5/7 - 216*i**4/7 + 360*i**3/7 + 484*i**2/7 + 174*i/7 + 20/7 = 0.
-5, -1/3, 2
Determine c so that 8427*c**5 + 75525*c**4 + 115119*c**3 - 4425*c**2 + 42*c = 0.
-7, -2, 0, 1/53
Determine p, given that 42*p**5 + 134*p**4 - 452*p**3 - 284*p**2 + 410*p + 150 = 0.
-5, -1, -1/3, 1, 15/7
Solve -5*b**3 - 45*b**2 - 30*b + 80 = 0.
-8, -2, 1
Solve 3*f**2 + 684*f + 38988 = 0 for f.
-114
Find a, given that -2*a**3/7 - 3804*a**2/7 - 2411736*a/7 - 509680208/7 = 0.
-634
What is r in r**5/2 + 101*r**4/2 + 393*r**3/2 + 487*r**2/2 + 97*r = 0?
-97, -2, -1, 0
Solve -343*v**5 - 5047*v**4 + 1722*v**3 + 3618*v**2 - 2403*v + 405 = 0 for v.
-15, -1, 3/7
Determine n, given that -12*n**3 - 39*n**2 - 42*n - 15 = 0.
-5/4, -1
Factor -2*c**3/11 + 12*c**2/11.
-2*c**2*(c - 6)/11
Find f, given that -294*f**3 - 112*f**2 + 65*f/2 + 25/2 = 0.
-5/14, 1/3
Factor n**5/8 - 3*n**4/8 + 3*n**3/8 - n**2/8.
n**2*(n - 1)**3/8
Find b such that -b**5 - 70*b**4 - 753*b**3 - 684*b**2 = 0.
-57, -12, -1, 0
Let z**4 + 2*z**3 - 25*z**2 - 2*z + 24 = 0. Calculate z.
-6, -1, 1, 4
Let 3*l**3 - 54*l**2 - 57*l = 0. Calculate l.
-1, 0, 19
Find b such that 3*b**4 - 93*b**3 + 747*b**2 - 135*b - 4050 = 0.
-2, 3, 15
Find k, given that 2*k**4/13 + 206*k**3/13 + 4974*k**2/13 - 17702*k/13 - 22472/13 = 0.
-53, -1, 4
Factor -c**2 - 14*c + 32.
-(c - 2)*(c + 16)
Solve -2*s**3/17 + 30*s**2/17 - 54*s/17 + 26/17 = 0.
1, 13
Find t, given that 28*t**5/9 + 4*t**4 - 24*t**3 - 400*t**2/9 - 32*t/3 = 0.
-2, -2/7, 0, 3
Let -v**3/2 - 219*v**2 + v/2 + 219 = 0. What is v?
-438, -1, 1
Solve n**3/3 - 20*n**2 + 167*n/3 + 76 = 0 for n.
-1, 4, 57
Let 2*w**4/11 - 24*w**3/11 + 12*w**2/11 + 104*w/11 + 6 = 0. Calculate w.
-1, 3, 11
Factor -5*s**3 + 1235*s**2 + 15360*s + 46620.
-5*(s - 259)*(s + 6)**2
Let 2*q**5 + 10*q**4 - 52*q**3 - 196*q**2 - 206*q - 70 = 0. What is q?
-7, -1, 5
Factor -2*a**3/11 - a**2 - 9*a/11.
-a*(a + 1)*(2*a + 9)/11
Factor -4*o**2 - 88*o - 484.
-4*(o + 11)**2
Factor 2*j**2 - 168*j + 166.
2*(j - 83)*(j - 1)
Let 4*p**3 + 28*p**2 - 136*p - 160 = 0. What is p?
-10, -1, 4
Solve 2*h**3/11 - 124*h**2/11 + 2210*h/11 - 12168/11 = 0.
13, 36
Let 2*j**2 - 216