4/4 - 15*w**3/2 - 17*w**2/2 + 285*w/4 - 225/4 = 0.
-5, 1, 3
Suppose -7*f**5/5 - 16*f**4/5 + 129*f**3/5 - 158*f**2/5 + 28*f/5 + 24/5 = 0. Calculate f.
-6, -2/7, 1, 2
Factor 2*k**2/3 - 100*k + 3750.
2*(k - 75)**2/3
Solve 2*f**3/7 + 36*f**2/7 + 216*f/7 + 432/7 = 0 for f.
-6
Factor -2*j**5/3 - 8*j**4/3 - 2*j**3/3 + 20*j**2/3 + 8*j/3 - 16/3.
-2*(j - 1)**2*(j + 2)**3/3
Suppose 2*a**2 + 410*a - 412 = 0. Calculate a.
-206, 1
Factor -v**4 + 26*v**3 + 28*v**2 - 26*v - 27.
-(v - 27)*(v - 1)*(v + 1)**2
Let -3*w**2 + 18*w - 24 = 0. What is w?
2, 4
Let -k**4 - 17*k**3 + 254*k**2 - 432*k = 0. What is k?
-27, 0, 2, 8
Factor 4*d**3/7 + 26*d**2/7 + 46*d/7 + 24/7.
2*(d + 1)*(d + 4)*(2*d + 3)/7
Find d such that -d**2/3 - 157*d/3 - 310/3 = 0.
-155, -2
Find y, given that -10*y**2 + 15*y - 5 = 0.
1/2, 1
Solve 16*v**3 + 92*v**2 + 136*v + 60 = 0 for v.
-15/4, -1
Determine z so that 2*z**2/3 - 2758*z/3 + 2756/3 = 0.
1, 1378
Factor -3*k**3 - 27*k**2 - 72*k - 60.
-3*(k + 2)**2*(k + 5)
Solve 2*w**3/7 + 48*w**2/7 - 2*w/7 - 48/7 = 0 for w.
-24, -1, 1
Factor 5*t**4 - 55*t**3 - 315*t**2 + 135*t + 1350.
5*(t - 15)*(t - 2)*(t + 3)**2
Factor -4*k**2 + 104*k - 612.
-4*(k - 17)*(k - 9)
Factor -3*j**3 + 39*j**2 + 87*j + 45.
-3*(j - 15)*(j + 1)**2
Suppose -y**2/3 - 12526*y/3 - 39225169/3 = 0. What is y?
-6263
What is j in -2*j**5 + 16*j**4 - 24*j**3 - 4*j**2 + 26*j - 12 = 0?
-1, 1, 6
Solve -5*x**2 + 38970*x - 75933045 = 0.
3897
Suppose -2*r**2 - 2004*r - 2002 = 0. What is r?
-1001, -1
Let -2*f**2 + 8*f + 64 = 0. What is f?
-4, 8
Factor 2*a**5/9 - 4546*a**4/9 + 2585536*a**3/9 - 2580992*a**2/9.
2*a**2*(a - 1136)**2*(a - 1)/9
Suppose 18*o**2/5 - 14*o/5 - 4/5 = 0. What is o?
-2/9, 1
Factor -j**3/4 + 3*j**2/2 + 7*j/4.
-j*(j - 7)*(j + 1)/4
Factor 4*m**2 + 2000*m + 250000.
4*(m + 250)**2
Factor -3*v**3/7 - 534*v**2/7 + 543*v/7 + 1074/7.
-3*(v - 2)*(v + 1)*(v + 179)/7
Factor -2*k**3/3 - 184*k**2/3 - 538*k/3 - 356/3.
-2*(k + 1)*(k + 2)*(k + 89)/3
Factor -2*d**2/11 + 8/11.
-2*(d - 2)*(d + 2)/11
Solve -17*z**5/4 - 9*z**4 + 591*z**3/4 + 647*z**2/2 + 189*z + 18 = 0.
-6, -1, -2/17, 6
Suppose 2*a**5 + 155*a**4/4 + 833*a**3/4 + 651*a**2/4 - 1161*a/4 - 243/2 = 0. What is a?
-9, -2, -3/8, 1
Solve -2*l**2/11 - 2124*l/11 - 563922/11 = 0 for l.
-531
Find h such that 20*h**5 - 96*h**4 + 701*h**3/5 - 49*h**2 - 72*h/5 - 4/5 = 0.
-1/10, 1, 2
Find r, given that -2*r**4 + 10*r**3 - 40*r + 32 = 0.
-2, 1, 2, 4
Solve 16*w**4/3 + 98*w**3/3 - 196*w**2/3 - 698*w/3 - 28 = 0.
-7, -2, -1/8, 3
Factor -20*s**3/7 - 12*s**2/7 + 272*s/7.
-4*s*(s + 4)*(5*s - 17)/7
Find c, given that -2*c**2 - 1140*c + 1142 = 0.
-571, 1
Factor 39*d**3 + 1554*d**2 + 1281*d - 234.
3*(d + 1)*(d + 39)*(13*d - 2)
What is d in -d**4/8 - 7*d**3/8 + 13*d**2/4 + 9*d = 0?
-9, -2, 0, 4
Solve l**2/2 - 84*l - 169/2 = 0 for l.
-1, 169
Determine w so that -2*w**4 + 142*w**3 - 2724*w**2 + 7208*w - 4624 = 0.
1, 2, 34
Factor -16*w**4 + 36*w**3 + 232*w**2 - 60*w.
-4*w*(w - 5)*(w + 3)*(4*w - 1)
Factor 2*j**4/17 - 6*j**3/17 + 8*j/17.
2*j*(j - 2)**2*(j + 1)/17
Factor 4*u**4 + 18*u**3 - 10*u**2.
2*u**2*(u + 5)*(2*u - 1)
Factor -2*o**4/5 + 12*o**3/5 + 72*o**2/5 + 16*o.
-2*o*(o - 10)*(o + 2)**2/5
Let -2*m**5/9 + 68*m**4/9 - 238*m**3/3 + 1960*m**2/9 + 2744*m/9 = 0. What is m?
-1, 0, 7, 14
Solve 9*f**5/5 + 237*f**4/5 - 183*f**3/5 - 573*f**2/5 - 162*f/5 = 0.
-27, -1, -1/3, 0, 2
Let y**3/4 - 5*y**2/4 + 7*y/4 - 3/4 = 0. Calculate y.
1, 3
Factor 2*y**5/13 - 432*y**4/13 + 24992*y**3/13 - 13824*y**2 + 26624*y.
2*y*(y - 104)**2*(y - 4)**2/13
Factor -z**5 + 14*z**4 + 32*z**3.
-z**3*(z - 16)*(z + 2)
Suppose 4*o**3/7 + 40*o**2/7 - 12*o/7 - 432/7 = 0. Calculate o.
-9, -4, 3
Find t such that t**2/4 + 12*t - 25 = 0.
-50, 2
Factor -5445*n**3 - 4785*n**2 + 640*n - 20.
-5*(n + 1)*(33*n - 2)**2
Factor m**4 + 42*m**3 + 388*m**2 - 1320*m - 3872.
(m - 4)*(m + 2)*(m + 22)**2
Determine v, given that -4*v**5 + 68*v**4 + 8*v**3 - 136*v**2 - 4*v + 68 = 0.
-1, 1, 17
What is d in -2*d**2/3 + 24*d = 0?
0, 36
Factor -l**2/2 - 271*l/2 + 1260.
-(l - 9)*(l + 280)/2
Factor g**4/2 + 35*g**3/2 - 3*g**2/2 - 107*g/2 - 35.
(g - 2)*(g + 1)**2*(g + 35)/2
Suppose -3*l**3/5 + 3*l**2 - 21*l/5 + 9/5 = 0. What is l?
1, 3
Determine j so that -j**5 + 58*j**4 + 595*j**3 + 536*j**2 = 0.
-8, -1, 0, 67
Factor -v**3/8 + 30*v**2 + 483*v/8 + 121/4.
-(v - 242)*(v + 1)**2/8
Factor g**3 - 62*g**2 - 4*g + 248.
(g - 62)*(g - 2)*(g + 2)
Solve y**3/5 - 23*y**2/5 - 49*y/5 - 5 = 0.
-1, 25
Factor 2*x**3/11 + 2*x**2 - 52*x/11.
2*x*(x - 2)*(x + 13)/11
Factor 10*a**2 - 215*a - 110.
5*(a - 22)*(2*a + 1)
Factor 2*k**3/5 + 332*k**2/5 - 2046*k/5 + 3096/5.
2*(k - 3)**2*(k + 172)/5
Find r such that -3*r**3 - 1230*r**2 - 128499*r - 494508 = 0.
-203, -4
What is n in -12*n**5/5 - 1604*n**4/5 - 4196*n**3/5 - 492*n**2/5 + 4208*n/5 + 2096/5 = 0?
-131, -2, -1, -2/3, 1
Factor 4*u**4/7 + 8*u**3 + 100*u**2/7 + 48*u/7.
4*u*(u + 1)**2*(u + 12)/7
Factor -f**3/5 - f**2/5 + 2*f/5.
-f*(f - 1)*(f + 2)/5
Factor 9*l**2 + 30*l - 24.
3*(l + 4)*(3*l - 2)
Let 5*a**4 + 4550*a**3 + 1039665*a**2 + 2065700*a + 1030580 = 0. Calculate a.
-454, -1
Factor s**2/5 + 37*s/5 - 164/5.
(s - 4)*(s + 41)/5
Suppose f**3 - 3*f**2 + 2*f = 0. What is f?
0, 1, 2
Find p such that p**5 - 14*p**4 + 69*p**3 - 140*p**2 + 100*p = 0.
0, 2, 5
Factor -2*q**3 + 10*q**2 - 12*q.
-2*q*(q - 3)*(q - 2)
Factor b**4/3 - 7*b**3/3 + 5*b**2 - 13*b/3 + 4/3.
(b - 4)*(b - 1)**3/3
Suppose 5*d**4 - 75*d**3 + 190*d**2 - 120*d = 0. What is d?
0, 1, 2, 12
Factor 2*x**4/5 - 124*x**3/5 + 2042*x**2/5 - 744*x + 360.
2*(x - 30)**2*(x - 1)**2/5
Factor -5*y**3 + 158*y**2 + 64*y.
-y*(y - 32)*(5*y + 2)
Factor -146*u**4 - 288*u**3 + 8*u**2.
-2*u**2*(u + 2)*(73*u - 2)
Factor -5*b**2 - 3270*b + 3275.
-5*(b - 1)*(b + 655)
Factor -6*l**2 - 4*l + 16.
-2*(l + 2)*(3*l - 4)
Factor 295*f**2 + 280*f - 15.
5*(f + 1)*(59*f - 3)
What is l in -2*l**4/13 - 80*l**3/13 - 144*l**2/13 + 320*l/13 + 608/13 = 0?
-38, -2, 2
Solve 5*k**3 + 245*k**2 + 430*k - 1880 = 0.
-47, -4, 2
Determine f, given that 3*f**2 - 18*f - 216 = 0.
-6, 12
Factor -j**3 + 43*j**2/4 - 33*j/2 + 27/4.
-(j - 9)*(j - 1)*(4*j - 3)/4
What is z in z**5/5 + 7*z**4/5 - 19*z**3/5 - 7*z**2/5 + 18*z/5 = 0?
-9, -1, 0, 1, 2
Factor 23*r**4/2 - 183*r**3 - 16*r**2.
r**2*(r - 16)*(23*r + 2)/2
Determine x, given that 16*x**3/9 - 82*x**2/3 + 314*x/9 - 28/3 = 0.
3/8, 1, 14
What is b in 4*b**4/3 - 140*b**3/3 - 143*b**2/3 - 12*b = 0?
-1/2, 0, 36
Factor 5*g**2 - 2530*g + 320045.
5*(g - 253)**2
Factor -2*j**5 - 1504*j**4 - 424128*j**3 - 53157376*j**2 - 2498396672*j.
-2*j*(j + 188)**4
Determine u, given that u**4 - 3001*u**3 + 3003000*u**2 - 1003000000*u + 1000000000 = 0.
1, 1000
Determine q so that -3*q**2 + 6039*q + 6042 = 0.
-1, 2014
Factor 2*j**2/11 + 26124*j/11 + 85307922/11.
2*(j + 6531)**2/11
Find j, given that -j**2/5 + 214*j/5 - 560 = 0.
14, 200
Suppose -4*d**2/7 - 56*d - 1372 = 0. What is d?
-49
What is r in 2*r**5/5 - 56*r**4 + 552*r**3/5 + 4*r**2/5 - 554*r/5 + 276/5 = 0?
-1, 1, 138
Let -j**5 + 27*j**4 - 90*j**3 - 58*j**2 + 267*j + 207 = 0. Calculate j.
-1, 3, 23
What is b in b**5/4 - 15*b**4/4 - b**3/4 + 15*b**2/4 = 0?
-1, 0, 1, 15
Let 2*h**3 + 188*h**2 + 186*h = 0. Calculate h.
-93, -1, 0
Suppose u**4/4 + 685*u**3/4 - 2061*u**2/4 + 2063*u/4 - 172 = 0. What is u?
-688, 1
Suppose 4*g**3 - 12*g + 8 = 0. What is g?
-2, 1
Factor -2*d**2 - 5408*d - 3655808.
-2*(d + 1352)**2
Factor -61*j**2 + 70*j - 9.
-(j - 1)*(61*j - 9)
What is k in 3*k**5 - 33*k**4 + 93*k**3 - 51*k**2 - 96*k + 84 = 0?
-1, 1, 2, 7
Suppose 4*l**5 + 12*l**4 - 5*l**3 - 15*l**2 + l + 3 = 0. Calculate l.
-3, -1, -1/2, 1/2, 1
Solve 2*s**3 - 704*s**2 - 2*s + 704 = 0.
-1, 1, 352
Find x, given that x**4/2 + x**3/4 - 21*x**2/2 - 61*x/4 - 5 = 0.
-4, -1, -1/2, 5
Factor -2*z**2/11 + 34*z/11 - 84/11.
-2*(z - 14)*(z - 3)/11
Factor -2*t**2 + 806*t.
-2*t*(t - 403)
Factor 2*l**2 + 648*l + 52488.
2*(l + 162)**2
Find s, given that 3*s**2 + 159*s + 306 = 0.
-51, -2
Factor -135*d**2 + 40*d.
-5*d*(27*d - 8)
Factor 3*l**4 + 48*l**3 + 123*l**2 + 78*l.
3*l*(l + 1)*(l + 2)*(l + 13)
Factor 75*o**3 - 1575*o**2 - 642*o.
3*o*(5*o - 107)*(5*o + 2)
Factor 7*z**2 - 144*z - 63.
(z - 21)*(7*z + 3)
Factor 5*j**3 + 545*j**2 - 2240*j + 2260.
5*(j - 2)**2*(j + 113)
Factor -2*w**3/11 + 216*w**2/11 + 438*w/11 + 20.
-2*(w - 110)*(w + 1)**2/11
Suppose 34445