- 122)*(5*r - 1)/19
Suppose -k**5/2 + 19*k**3/2 - 3*k**2 - 36*k = 0. What is k?
-4, -2, 0, 3
Determine m so that -3*m**4/8 - 237*m**3/8 + 447*m**2/2 - 387*m/2 = 0.
-86, 0, 1, 6
Factor -5*n**3 - 535*n**2 + 5*n + 535.
-5*(n - 1)*(n + 1)*(n + 107)
Factor -4*n**3/5 + 72*n**2/5 - 52*n.
-4*n*(n - 13)*(n - 5)/5
Factor 2*q**3/11 - 26*q/11 + 24/11.
2*(q - 3)*(q - 1)*(q + 4)/11
Determine m, given that 2*m**3/3 - 20*m**2/3 - 506*m = 0.
-23, 0, 33
Determine z, given that 15*z**3 - 189*z**2 + 522*z + 240 = 0.
-2/5, 5, 8
Factor -4*u**3/5 + 24*u**2 + 252*u/5 + 128/5.
-4*(u - 32)*(u + 1)**2/5
Let -2*i**5/5 + 2*i**4/5 + 4*i**3/5 - 4*i**2/5 - 2*i/5 + 2/5 = 0. What is i?
-1, 1
Let r**3 - 3184*r**2 + 2534464*r = 0. What is r?
0, 1592
Let -2*i**3/7 - 34*i**2/7 + 160*i/7 - 24 = 0. What is i?
-21, 2
Find x such that -2*x**5/3 - 8*x**4/3 + 14*x**3/3 + 44*x**2/3 - 16*x = 0.
-4, -3, 0, 1, 2
Suppose 3*l**3 + 42*l**2 = 0. Calculate l.
-14, 0
Factor 15*l**4 - 55*l**3 + 55*l**2 - 5*l - 10.
5*(l - 2)*(l - 1)**2*(3*l + 1)
Factor 3*c**2/5 - 351*c.
3*c*(c - 585)/5
Determine t so that -t**3/2 + 63*t**2/2 - 735*t/2 - 8575/2 = 0.
-7, 35
Suppose 2*l**3/13 - 14*l**2/13 + 12*l/13 = 0. Calculate l.
0, 1, 6
Solve -4*t**5/7 + 4*t**4/7 + 4*t**3/7 - 4*t**2/7 = 0 for t.
-1, 0, 1
Factor 2*j**4/9 + 8*j**3/9 - 6*j**2 + 76*j/9 - 32/9.
2*(j - 2)*(j - 1)**2*(j + 8)/9
Determine c, given that 3*c**2 - 69*c + 66 = 0.
1, 22
Suppose 2*b**3/11 + 1464*b**2/11 + 357216*b/11 + 29053568/11 = 0. Calculate b.
-244
Find o, given that -o**2/10 + 551*o/5 + 1103/10 = 0.
-1, 1103
Solve 4*f**3/5 + 23*f**2/5 - 9*f/5 - 18/5 = 0.
-6, -3/4, 1
Let -78*n**3/7 + 1408*n**2/7 - 6390*n/7 + 324/7 = 0. What is n?
2/39, 9
Find q, given that 2*q**5/5 - 81*q**4/10 + 28*q**3 - 21*q**2/2 - 187*q/5 + 48/5 = 0.
-1, 1/4, 2, 3, 16
Find o such that -3*o**2/5 - 402*o/5 = 0.
-134, 0
Determine b so that -b**4/4 + 3*b**3/2 + 3*b**2 - 19*b/2 + 21/4 = 0.
-3, 1, 7
Let 2*d**2/13 + 62*d/13 = 0. What is d?
-31, 0
Let -5*s**4 + 45*s**3 + 110*s**2 = 0. What is s?
-2, 0, 11
Suppose l**5/2 + 4*l**4 + 6*l**3 - l**2 - 13*l/2 - 3 = 0. Calculate l.
-6, -1, 1
Factor 2*d**3 + 4*d**2 - 10*d - 12.
2*(d - 2)*(d + 1)*(d + 3)
Determine u, given that -2*u**2 + 13*u + 7 = 0.
-1/2, 7
Factor -y**4/7 - 4*y**3/7 + 6*y**2/7 + 36*y/7 + 27/7.
-(y - 3)*(y + 1)*(y + 3)**2/7
Factor 12*x**4 - 4*x**3 - 36*x**2 - 12*x + 8.
4*(x - 2)*(x + 1)**2*(3*x - 1)
Solve -b**4/4 - 16*b**3 - 366*b**2 - 3520*b - 12100 = 0 for b.
-22, -10
Factor -n**3 - 3*n**2 + n + 3.
-(n - 1)*(n + 1)*(n + 3)
Find x such that -x**5 + 10*x**4 - 30*x**3 + 40*x**2 - 25*x + 6 = 0.
1, 6
Factor b**3/6 - 46*b**2/3 - 127*b/2 - 48.
(b - 96)*(b + 1)*(b + 3)/6
Factor -p**5 - 8*p**4 - 23*p**3 - 28*p**2 - 12*p.
-p*(p + 1)*(p + 2)**2*(p + 3)
Find o such that -2*o**3 + 8058*o**2 - 8112390*o - 8120450 = 0.
-1, 2015
Find w such that 3*w**5 + 300*w**4 - 11520*w**3 + 145920*w**2 - 798720*w + 1622016 = 0.
-132, 8
Factor -5*d**5 - 25*d**4 - 30*d**3.
-5*d**3*(d + 2)*(d + 3)
Find o such that 2*o**3/9 + 164*o**2/9 + 3362*o/9 = 0.
-41, 0
Factor -4*n**5 - 24*n**4 - 48*n**3 - 40*n**2 - 12*n.
-4*n*(n + 1)**3*(n + 3)
Suppose -2*r**3 - 246*r**2 + 252*r + 496 = 0. Calculate r.
-124, -1, 2
Let -1626*f**2/5 - 3256*f/5 - 8/5 = 0. Calculate f.
-2, -2/813
Solve -4*x**5 + 11*x**4 + 6*x**3 - 41*x**2 + 40*x - 12 = 0 for x.
-2, 3/4, 1, 2
Solve -3*r**4/2 + 9*r**3 + 21*r**2/2 = 0.
-1, 0, 7
Let -2*o**5/25 - 6*o**4/25 - 6*o**3/25 - 2*o**2/25 = 0. What is o?
-1, 0
Factor -5*r**5 + 25*r**4 + 40*r**3 - 240*r**2.
-5*r**2*(r - 4)**2*(r + 3)
Factor 4*y**5/3 - 107*y**4/3 + 343*y**3 - 4088*y**2/3 + 5056*y/3 + 512.
(y - 8)**3*(y - 3)*(4*y + 1)/3
Factor 2*v**2/7 - 24*v/7 - 26/7.
2*(v - 13)*(v + 1)/7
Determine w, given that w**2 - 106*w + 2809 = 0.
53
Determine k, given that 3*k**3 - 15*k**2 = 0.
0, 5
Factor -21*w**3 + 90*w**2 - 108*w + 24.
-3*(w - 2)**2*(7*w - 2)
Determine p so that -p**2 + 12364*p - 38217124 = 0.
6182
Determine v, given that 3*v**4 + 15*v**3 - 24*v**2 - 36*v = 0.
-6, -1, 0, 2
Factor 2*v**2 + 2546*v + 2544.
2*(v + 1)*(v + 1272)
Suppose 9*z**5 + 96*z**4 - 1851*z**3 + 8094*z**2 - 12000*z + 3168 = 0. Calculate z.
-22, 1/3, 3, 4
Factor -5*o**4 - 1760*o**3 - 10440*o**2 - 20800*o - 13840.
-5*(o + 2)**3*(o + 346)
Factor w**3/2 + 16*w**2 + 89*w/2 + 29.
(w + 1)*(w + 2)*(w + 29)/2
Solve 5*k**4 - 85*k**3 + 315*k**2 + 405*k = 0 for k.
-1, 0, 9
What is b in b**3 + 33*b**2 - 144*b + 148 = 0?
-37, 2
Solve s**2 - 6*s = 0 for s.
0, 6
Solve 5*j**5 - 50*j**4 + 30*j**3 + 140*j**2 - 35*j - 90 = 0 for j.
-1, 1, 2, 9
Factor 12*c**3 - 852*c**2 + 843*c - 210.
3*(c - 70)*(2*c - 1)**2
Find u, given that -10*u**5 - 9*u**4 + 31*u**3 + 7*u**2 - 21*u + 2 = 0.
-2, -1, 1/10, 1
Solve -y**2/7 + 64*y/7 - 9 = 0 for y.
1, 63
Find m such that -22*m**5 - 265*m**4 + 912*m**3 - 926*m**2 + 286*m + 15 = 0.
-15, -1/22, 1
What is j in -j**3/3 + 5*j**2/3 - 7*j/3 + 1 = 0?
1, 3
Let 24*q**4 - 354*q**3 + 567*q**2 - 276*q + 39 = 0. Calculate q.
1/4, 1/2, 1, 13
Determine v, given that -2*v**2/9 - 4*v/3 - 10/9 = 0.
-5, -1
Factor 2*a**2/9 - 272*a/9 + 254.
2*(a - 127)*(a - 9)/9
Determine b so that -5*b**2 - 245*b + 1060 = 0.
-53, 4
Factor -u**2/5 - 6*u - 45.
-(u + 15)**2/5
What is n in 12*n**4 + 136*n**3 + 36*n**2 - 88*n = 0?
-11, -1, 0, 2/3
Find p such that -25*p**4 - 415*p**3 + 1620*p**2 - 1580*p + 400 = 0.
-20, 2/5, 1, 2
Determine p, given that 4*p**4 - 568*p**3 = 0.
0, 142
Factor -x**2/3 + 279*x - 834.
-(x - 834)*(x - 3)/3
What is p in -2*p**3/7 + 18*p**2/7 - 54*p/7 + 54/7 = 0?
3
What is i in i**3 - 20*i**2 - i + 20 = 0?
-1, 1, 20
Factor 2*t**2 - 186*t + 364.
2*(t - 91)*(t - 2)
Suppose -c**5 - 6*c**4/5 + 34*c**3/5 + 72*c**2/5 + 43*c/5 + 6/5 = 0. What is c?
-2, -1, -1/5, 3
Solve 3*p**2/2 - 48*p - 99/2 = 0 for p.
-1, 33
Factor -v**3/8 + 51*v**2/8 - 49*v/4.
-v*(v - 49)*(v - 2)/8
Factor m**2/4 - 89*m/4.
m*(m - 89)/4
What is s in -s**4/7 + 2*s**3 - 69*s**2/7 + 20*s - 100/7 = 0?
2, 5
Factor k**3 - 80*k**2 + 909*k + 990.
(k - 66)*(k - 15)*(k + 1)
Solve -4*b**3 - 712*b**2 - 32384*b - 61952 = 0.
-88, -2
Solve 68921*y**5/3 - 73964*y**4/3 + 1722*y**3 - 124*y**2/3 + y/3 = 0 for y.
0, 1/41, 1
Solve -2*j**2/9 - 14636*j/9 - 26776562/9 = 0.
-3659
Suppose -4*v**4 + 52*v**3 + 412*v**2 + 812*v + 456 = 0. Calculate v.
-3, -2, -1, 19
Let -q**3/3 - 3*q**2 - 11*q/3 + 7 = 0. What is q?
-7, -3, 1
Factor 4*w**2 - 96*w + 576.
4*(w - 12)**2
Determine c so that -3*c**3 + 225*c**2 - 186*c - 2664 = 0.
-3, 4, 74
Suppose -9*r**5/4 + 15*r**4/4 + 87*r**3/2 - 30*r**2 = 0. Calculate r.
-4, 0, 2/3, 5
What is o in -25*o**2 + 1445*o + 4560 = 0?
-3, 304/5
Let -2*h**4/9 - 10*h**3/9 + 2*h**2/9 + 10*h/9 = 0. Calculate h.
-5, -1, 0, 1
Factor -243*n**2 + 432*n - 192.
-3*(9*n - 8)**2
Solve -2*x**5/3 + 26*x**4/3 - 134*x**3/3 + 114*x**2 - 144*x + 72 = 0.
2, 3
Factor 2*i**3 - 140*i**2 + 1976*i + 17328.
2*(i - 38)**2*(i + 6)
Find s such that 4*s**4/3 - 52*s**3 + 1640*s**2/3 - 2096*s + 2400 = 0.
2, 6, 25
What is z in -z**2/2 + 165*z - 27225/2 = 0?
165
Suppose 5*w**4/3 - 5*w**3 - 15*w**2 + 115*w/3 - 20 = 0. Calculate w.
-3, 1, 4
Solve 2*y**4 + 2*y**3 - 6*y**2 - 10*y - 4 = 0 for y.
-1, 2
Determine l, given that 5*l**2 + 15980*l + 12768020 = 0.
-1598
Determine x so that -4*x**5 - 268*x**4 - 252*x**3 + 812*x**2 + 1328*x + 528 = 0.
-66, -1, 2
Solve -4*g**4/5 - 48*g**3/5 - 44*g**2/5 = 0.
-11, -1, 0
Determine n so that 4*n**2 + 1284*n - 3888 = 0.
-324, 3
Solve x**4/4 + 23*x**3/2 + 593*x**2/4 + 515*x - 675 = 0.
-27, -10, 1
Factor -2*i**2 - 64*i - 512.
-2*(i + 16)**2
Determine i so that -12*i**4/7 - 146*i**3/7 - 16*i**2/7 + 94*i/7 - 24/7 = 0.
-12, -1, 1/3, 1/2
Factor 5*i**3 - 6260*i**2 + 1953105*i + 3931290.
5*(i - 627)**2*(i + 2)
What is h in -2*h**5/5 + 14*h**4 - 596*h**3/5 + 336*h**2 - 1152*h/5 = 0?
0, 1, 4, 6, 24
Find g such that 14*g**5 - 10*g**4 - 50*g**3 + 10*g**2 + 36*g = 0.
-9/7, -1, 0, 1, 2
Find w such that -3*w**3 - 4707*w**2 - 2461761*w - 429167001 = 0.
-523
Factor o**3/3 + o**2/3 - 2*o.
o*(o - 2)*(o + 3)/3
Find u, given that -u**2/5 + 13*u/5 - 12/5 = 0.
1, 12
What is y in -33*y**3 - 798*y**2 - 2223*y - 378 = 0?
-21, -3, -2/11
Factor 4*o**2/5 - 204*o/5 + 392/5.
4*(o - 49)*(o - 2)/5
Factor 3*s**3 + 153*s**2 + 2601*s + 14739.
3*(s + 17)**3
Factor 2*t**4/3 + 2*t**3/3 - 32*t**2/3 - 32*t/3.
2*t*(t - 4)*(t + 1)*(t + 4)/3
Suppose -5*x**4 + 