d v, given that -63*v**5/4 - 165*v**4/4 + 651*v**3/4 - 495*v**2/4 + 3*v + 15 = 0.
-5, -2/7, 2/3, 1
Suppose -4*o**3 - 852*o**2 - 60492*o - 1431644 = 0. Calculate o.
-71
What is k in -k**4 + 40*k**3 - 438*k**2 + 760*k - 361 = 0?
1, 19
Factor -b**5/5 - 22*b**4/5 + 23*b**3/5.
-b**3*(b - 1)*(b + 23)/5
Solve 2*k**2/7 - 26*k/7 - 1656/7 = 0.
-23, 36
Factor -2*k**2/11 - 284*k/11 - 10082/11.
-2*(k + 71)**2/11
Suppose -3*t**2 - 204*t - 1440 = 0. Calculate t.
-60, -8
Factor -g**3/3 - 2*g**2 - 5*g/3 + 4.
-(g - 1)*(g + 3)*(g + 4)/3
Solve -4*b**4 + 116*b**3 - 112*b**2 = 0.
0, 1, 28
Solve 3*k**5/7 - 3*k**4 + 54*k**3/7 - 60*k**2/7 + 24*k/7 = 0 for k.
0, 1, 2
Factor -3*j**3/2 + 147*j**2 + 921*j/2 - 606.
-3*(j - 101)*(j - 1)*(j + 4)/2
Let c**2 - 43*c + 42 = 0. What is c?
1, 42
Find y such that 28*y**5 - 50*y**4 - 72*y**3 + 206*y**2 - 136*y + 24 = 0.
-2, 2/7, 1, 3/2
Find j, given that j**2/4 - 13*j/4 + 9 = 0.
4, 9
Determine b so that 3*b**2 - 180*b - 1407 = 0.
-7, 67
Determine l, given that l**4/2 + l**3 - l - 1/2 = 0.
-1, 1
Factor -5*r**5/2 + 5*r**3 - 5*r/2.
-5*r*(r - 1)**2*(r + 1)**2/2
Factor -n**4/2 - 9*n**3/2 - 13*n**2/2 + 45*n/2 + 25.
-(n - 2)*(n + 1)*(n + 5)**2/2
Factor -2*o**5 - 1948*o**4 - 464498*o**3 + 4792080*o**2 - 12103200*o.
-2*o*(o - 5)**2*(o + 492)**2
Factor -4*f**2/5 - 672*f/5 + 980.
-4*(f - 7)*(f + 175)/5
Factor a**3/8 + 601*a**2/8 + 11020*a - 80864.
(a - 7)*(a + 304)**2/8
Factor u**3/2 + 33*u**2/2 + 63*u/2 + 31/2.
(u + 1)**2*(u + 31)/2
Factor -u**4/3 - 2*u**3 + u**2/3 + 10*u.
-u*(u - 2)*(u + 3)*(u + 5)/3
Solve 6*c**3 - 57*c**2/2 - 15*c/2 = 0 for c.
-1/4, 0, 5
Factor 2*f**4 + 142*f**3 + 1512*f**2 + 5792*f + 7552.
2*(f + 4)**3*(f + 59)
Find c such that -4*c**3/5 - 396*c**2/5 - 392*c/5 = 0.
-98, -1, 0
Factor 2*v**2/3 + 4*v/3 + 2/3.
2*(v + 1)**2/3
Factor -3*l**2 + 141*l - 516.
-3*(l - 43)*(l - 4)
Suppose g**5/8 + 15*g**4/8 - 4*g**3 - 60*g**2 + 32*g + 480 = 0. What is g?
-15, -4, 4
Let k**4 + 27*k**3/2 - 22*k**2 + 15*k/2 = 0. What is k?
-15, 0, 1/2, 1
Determine r, given that 84*r**2 + 556*r + 152 = 0.
-19/3, -2/7
Factor -3*g**5 + 9*g**4 + 261*g**3 + 699*g**2 + 666*g + 216.
-3*(g - 12)*(g + 1)**3*(g + 6)
Determine c, given that 5*c**2 + 76*c + 15 = 0.
-15, -1/5
Factor -3*t**3 - 39*t**2 - 96*t - 60.
-3*(t + 1)*(t + 2)*(t + 10)
Determine t so that 3*t**3 + 13296*t**2 + 14718663*t - 29490534 = 0.
-2217, 2
Determine h so that -15*h**2/8 + 561*h/8 - 531/4 = 0.
2, 177/5
Determine a so that -4*a**2/11 + 314*a/11 + 158/11 = 0.
-1/2, 79
Factor 3*b**2 - 153*b + 1320.
3*(b - 40)*(b - 11)
Find a such that -2*a**3/13 + 1022*a**2/13 - 130048*a/13 - 131072/13 = 0.
-1, 256
Let 4*q**2 - 100*q + 576 = 0. Calculate q.
9, 16
Determine r so that r**3/6 + 2*r**2 - 103*r/6 + 15 = 0.
-18, 1, 5
Let 3*p**2 + 2052*p + 350892 = 0. What is p?
-342
Factor -2*b**4/5 + 22*b**3/5 + 10*b**2 + 26*b/5.
-2*b*(b - 13)*(b + 1)**2/5
Find i such that -5*i**2 - 65*i - 150 = 0.
-10, -3
Let 5*c**2 - 195*c - 200 = 0. Calculate c.
-1, 40
Find q such that -1715*q**4 + 746270*q**3 + 640500*q**2 + 183080*q + 17440 = 0.
-2/7, 436
Factor b**2/2 - 335*b/2 + 167.
(b - 334)*(b - 1)/2
Factor 4*n**3 - 64*n**2 - 220*n - 152.
4*(n - 19)*(n + 1)*(n + 2)
Factor 63*f**3 + 438*f**2 + 372*f + 72.
3*(f + 6)*(3*f + 2)*(7*f + 2)
Factor s**3 - 24*s**2/5 + 3*s + 4/5.
(s - 4)*(s - 1)*(5*s + 1)/5
Determine u so that -9*u**4 - 102*u**3 + 111*u**2 + 2928*u + 960 = 0.
-8, -1/3, 5
Solve -26*y**3 + 22*y**2 + 784*y + 120 = 0.
-5, -2/13, 6
Solve -3*d**2 - 5589*d + 11190 = 0 for d.
-1865, 2
Determine l, given that 2*l**4 + 10*l**3 + 6*l**2 - 18*l = 0.
-3, 0, 1
Factor 2*i**2/3 + 6*i - 20/3.
2*(i - 1)*(i + 10)/3
Factor -q**3/6 + 35*q**2/3 - 1225*q/6.
-q*(q - 35)**2/6
Let o**3/5 + 11*o**2/5 + 19*o/5 + 9/5 = 0. Calculate o.
-9, -1
Determine c so that -3*c**4 + 129*c**3 - 366*c**2 + 240*c = 0.
0, 1, 2, 40
Let -g**5/7 - 466*g**4/7 + 935*g**3/7 - 468*g**2/7 = 0. What is g?
-468, 0, 1
Determine u so that 2*u**5 + 82*u**4 + 156*u**3 - 4*u**2 - 158*u - 78 = 0.
-39, -1, 1
Solve -h**4 - 9*h**3 - 14*h**2 + 24*h = 0.
-6, -4, 0, 1
Factor 2*c**2/17 + 28*c/17 - 64/17.
2*(c - 2)*(c + 16)/17
What is j in -j**3/4 - 5029*j**2/4 - 1581306*j - 1580049 = 0?
-2514, -1
Factor 2*a**5 + 106*a**4 + 2204*a**3 + 22412*a**2 + 111202*a + 215306.
2*(a + 7)**2*(a + 13)**3
What is z in -4*z**5 - 292*z**4/7 - 636*z**3/7 + 1444*z**2/7 + 520*z - 2400/7 = 0?
-5, -3, 4/7, 2
Suppose 5*n**3 + 165*n**2 + 315*n + 155 = 0. Calculate n.
-31, -1
Find v, given that -15*v**5 - 305*v**4 + 215*v**3 + 105*v**2 = 0.
-21, -1/3, 0, 1
Solve -16*u**4/5 + 44*u**3/5 + 166*u**2/5 + 76*u/5 - 6 = 0.
-3/2, -1, 1/4, 5
What is n in 2*n**4/9 - 50*n**3/9 - 224*n**2/9 - 232*n/9 = 0?
-2, 0, 29
Solve -a**5/4 - 405*a**4/4 - 10098*a**3 + 31212*a**2 = 0 for a.
-204, 0, 3
Factor g**2/3 - 11*g + 54.
(g - 27)*(g - 6)/3
Solve 12*p**4 + 56*p**3 - 508*p**2 - 360*p = 0.
-9, -2/3, 0, 5
What is g in 2*g**4/15 + 28*g**3/5 - 2*g**2/15 - 28*g/5 = 0?
-42, -1, 0, 1
Factor -y**2 + 3674*y - 3374569.
-(y - 1837)**2
Find m, given that m**3/6 - 53*m**2/2 + 1140*m - 20216/3 = 0.
7, 76
Factor 3*y**2 - 10848*y - 10851.
3*(y - 3617)*(y + 1)
Factor -2*n**3/13 - 1026*n**2/13 - 175446*n/13 - 10000422/13.
-2*(n + 171)**3/13
Let 3*p**3 - 54*p**2 + 153*p + 210 = 0. Calculate p.
-1, 5, 14
Let -3*t**2 - 120*t + 252 = 0. What is t?
-42, 2
Let r**2/5 - 10*r - 51/5 = 0. Calculate r.
-1, 51
Factor 2*n**5 + 6*n**4 - 18*n**3 + 10*n**2.
2*n**2*(n - 1)**2*(n + 5)
Suppose -10*d**4/3 + 12*d**3 - 8*d**2 - 16*d/3 = 0. What is d?
-2/5, 0, 2
Find x such that -20*x**4 + 495*x**3 - 355*x**2 - 120*x = 0.
-1/4, 0, 1, 24
Suppose 5*q**4/3 - 12200*q**3/3 + 3721000*q**2 - 4539620000*q/3 + 692292050000/3 = 0. What is q?
610
Solve -4*r**2 - 116*r + 528 = 0 for r.
-33, 4
Factor p**5/7 + 5*p**4/7 - 3*p**3 - 53*p**2/7 - 4*p.
p*(p - 4)*(p + 1)**2*(p + 7)/7
Factor 2*t**2 + 64*t + 270.
2*(t + 5)*(t + 27)
Factor n**5 + 192*n**4 + 9022*n**3 - 18624*n**2 + 9409*n.
n*(n - 1)**2*(n + 97)**2
Let -2*f**3/15 + 16*f**2/15 - 34*f/15 + 4/3 = 0. Calculate f.
1, 2, 5
Factor -3*w**3 + 36*w**2 + 93*w - 1386.
-3*(w - 11)*(w - 7)*(w + 6)
Determine f so that -3*f**4 - 171*f**3 - 2679*f**2 - 6885*f - 4374 = 0.
-27, -2, -1
Factor l**3/8 + 3*l**2/4 + 9*l/8.
l*(l + 3)**2/8
Factor -18*g**4/19 - 1056*g**3/19 - 14768*g**2/19 + 21120*g/19 - 7200/19.
-2*(g + 30)**2*(3*g - 2)**2/19
Let 5*v**4 - 80*v**3 + 75*v**2 = 0. Calculate v.
0, 1, 15
Factor 2*u**2 + 324*u - 326.
2*(u - 1)*(u + 163)
Determine v so that 5*v**5/6 + 25*v**4/6 - 35*v**3/6 - 25*v**2/6 + 5*v = 0.
-6, -1, 0, 1
Factor -u**2 + 533*u - 1062.
-(u - 531)*(u - 2)
What is n in 32*n**4/7 - 4888*n**3/7 + 17956*n**2/7 - 11336*n/7 + 1788/7 = 0?
1/4, 1/2, 3, 149
Find b, given that b**2/2 + 5*b/2 + 3 = 0.
-3, -2
Factor -2*h**5 + 84*h**4 - 1104*h**3 + 4768*h**2 - 8352*h + 5184.
-2*(h - 18)**2*(h - 2)**3
Factor -24843*z**5 - 98826*z**4 - 97191*z**3 + 2172*z**2 - 12*z.
-3*z*(z + 2)**2*(91*z - 1)**2
Find h such that -2*h**4 + 9*h**3 + h**2 - 18*h - 8 = 0.
-1, -1/2, 2, 4
Determine i so that -i**2/3 - 3097*i/3 + 3098/3 = 0.
-3098, 1
Factor 5*z**2/3 + 2050*z/3 - 4120/3.
5*(z - 2)*(z + 412)/3
Find s such that s**5/3 - 20*s**4/3 + 106*s**3/3 - 68*s**2 + 39*s = 0.
0, 1, 3, 13
Factor 2*k**4/5 + 18*k**3/5 - 6*k**2 - 322*k/5 + 588/5.
2*(k - 3)*(k - 2)*(k + 7)**2/5
Factor 3*m**2/8 + 165*m/8 - 21.
3*(m - 1)*(m + 56)/8
Solve g**2/3 - 194*g + 28227 = 0 for g.
291
Factor -m**2/3 - 14*m/3 - 13/3.
-(m + 1)*(m + 13)/3
Factor p**4 - 318*p**3 - 3*p**2 + 952*p + 636.
(p - 318)*(p - 2)*(p + 1)**2
Let 2*s**5/13 - 424*s**4/13 + 23708*s**3/13 - 131024*s**2/13 + 192610*s/13 - 84872/13 = 0. Calculate s.
1, 4, 103
Find p, given that p**5/7 + 13*p**4/7 + 46*p**3/7 + 12*p**2/7 - 72*p/7 = 0.
-6, -2, 0, 1
Solve -3*t**5 - 183*t**4/2 - 534*t**3 + 3795*t**2/2 - 489*t - 780 = 0 for t.
-20, -13, -1/2, 1, 2
Factor -3*u**3/5 - 27*u**2/5 + 387*u/5 - 357/5.
-3*(u - 7)*(u - 1)*(u + 17)/5
Factor 5*w**3 - 55*w**2 + 130*w - 80.
5*(w - 8)*(w - 2)*(w - 1)
Determine s, given that s**2 + 811*s/2 + 405/2 = 0.
-405, -1/2
Find w such that -w**4 + 10*w**3 + 84*w**2 + 184*w + 128 = 0.
-2, 16
Solve 2*w**4 + 40*w**3 + 106*w**2 + 68*w = 0 for w.
-17, -2, -1, 0
Factor -4*t**2 + 5196*t.
-4*t*(t - 1299)
Let -5*t**4 + 90*t**3 - 85*t**2 = 0. What is t?
0, 1, 17
Let 2*p**3/5 + 66*p**2/5 + 36*p = 