given that -i**4/5 + 3*i**3 + 34*i**2/5 = 0.
-2, 0, 17
Suppose 28*k**4 + 860*k**3 - 1144*k**2 + 256*k = 0. Calculate k.
-32, 0, 2/7, 1
Suppose p**5/5 + 22*p**4/5 + 76*p**3/5 - 792*p**2/5 - 3456*p/5 - 3456/5 = 0. Calculate p.
-12, -2, 6
What is j in j**4 + 7*j**3 - 9*j**2 - 7*j + 8 = 0?
-8, -1, 1
Factor o**2 - 13*o + 22.
(o - 11)*(o - 2)
Determine b so that -b**2 - 3284*b = 0.
-3284, 0
Determine u, given that -4*u**2 - 1856*u + 3728 = 0.
-466, 2
Factor 2*a**3/7 + 184*a**2/7 + 1690*a/7 + 4100/7.
2*(a + 5)**2*(a + 82)/7
Factor -2*b**2 + 24*b - 22.
-2*(b - 11)*(b - 1)
Factor 2*h**3/3 - 134*h**2 - 544*h - 1640/3.
2*(h - 205)*(h + 2)**2/3
Determine w so that -4*w**2 + 104*w - 276 = 0.
3, 23
Factor -3*u**3 + 84*u**2 - 483*u - 570.
-3*(u - 19)*(u - 10)*(u + 1)
Determine o, given that 2*o**2/15 - 4*o/3 + 32/15 = 0.
2, 8
Suppose 2*b**3/3 - 496*b**2/15 - 40*b/3 = 0. What is b?
-2/5, 0, 50
Let -5*f**5 + 120*f**4 - 820*f**3 + 1090*f**2 + 825*f - 1210 = 0. Calculate f.
-1, 1, 2, 11
Factor -5*i**4 - 20*i**3 - 25*i**2 - 10*i.
-5*i*(i + 1)**2*(i + 2)
Factor -4*o**2 + 372*o + 376.
-4*(o - 94)*(o + 1)
Suppose 8*u**5/25 - 162*u**4/25 - 304*u**3/25 - 18*u**2/5 + 44*u/25 = 0. What is u?
-1, 0, 1/4, 22
Let -16*d**5/15 - 28*d**4/15 + 2*d**3/3 + 28*d**2/15 + 2*d/5 = 0. Calculate d.
-3/2, -1, -1/4, 0, 1
Solve -2*z**2/13 - 194*z/13 + 2616/13 = 0.
-109, 12
Factor 2*o**2/11 - 14*o/11 + 20/11.
2*(o - 5)*(o - 2)/11
What is f in f**3/6 - 35*f**2/6 - 147*f/2 - 135/2 = 0?
-9, -1, 45
Factor -4*l**3/3 - 24*l**2 - 404*l/3 - 240.
-4*(l + 4)*(l + 5)*(l + 9)/3
Solve -2*q**4 + 12*q**3 + 10*q**2 - 84*q - 80 = 0 for q.
-2, -1, 4, 5
Find u such that 6*u**4 + 33*u**3/2 + 9*u**2/2 - 33*u/2 - 21/2 = 0.
-7/4, -1, 1
Factor 5*q**2 + 110*q + 605.
5*(q + 11)**2
Factor 2*x**3/3 - 22*x**2/3 - 38*x - 30.
2*(x - 15)*(x + 1)*(x + 3)/3
Solve 129*x**3/7 + 123*x**2/7 - 264*x/7 + 12/7 = 0.
-2, 2/43, 1
Factor -3*v**3/2 + 309*v**2/2 + 3*v/2 - 309/2.
-3*(v - 103)*(v - 1)*(v + 1)/2
Let -27*b**4/7 + 109*b**3/7 - 85*b**2/7 + 3*b/7 = 0. Calculate b.
0, 1/27, 1, 3
Factor 2*h**5/5 + 172*h**4/5 + 34*h**3.
2*h**3*(h + 1)*(h + 85)/5
Solve 5*u**5 - 15*u**4 - 25*u**3 + 15*u**2 + 20*u = 0 for u.
-1, 0, 1, 4
Find h, given that h**2/4 + 409*h/4 = 0.
-409, 0
Determine v, given that 2*v**5 - 2*v**4 - 2*v**3 + 2*v**2 = 0.
-1, 0, 1
Determine w so that -5*w**2 - 25*w + 30 = 0.
-6, 1
Find f such that -3*f**2/2 + 681*f/8 - 63 = 0.
3/4, 56
Suppose -3*a**4/5 - 7*a**3/5 + 8*a**2 + 124*a/5 + 16 = 0. Calculate a.
-10/3, -2, -1, 4
Suppose -p**3/3 - 28*p**2 = 0. Calculate p.
-84, 0
Let u**5/2 + 5*u**4 + 6*u**3 - 17*u**2 - 13*u/2 + 12 = 0. What is u?
-8, -3, -1, 1
Let -3*t**4 + 807*t**3 - 7101*t**2 + 21141*t - 21060 = 0. Calculate t.
3, 260
Determine f so that -2*f**4/9 + 154*f**3/9 - 450*f**2 + 38750*f/9 - 62500/9 = 0.
2, 25
Factor -2*f**4 - 6*f**3 - 2*f**2 + 6*f + 4.
-2*(f - 1)*(f + 1)**2*(f + 2)
Find z such that 2*z**4/5 + 6*z**3 + 134*z**2/5 + 186*z/5 + 16 = 0.
-8, -5, -1
Factor -2*f**4 - 12*f**3 + 6*f**2 + 32*f - 24.
-2*(f - 1)**2*(f + 2)*(f + 6)
What is p in p**4 + 32*p**3 + 286*p**2 + 480*p + 225 = 0?
-15, -1
Factor k**3/5 + 3*k**2/5 - 9*k/5 + 1.
(k - 1)**2*(k + 5)/5
Solve -t**5/6 + 10*t**4/3 - 97*t**3/6 - 29*t**2/3 + 130*t/3 + 100/3 = 0 for t.
-1, 2, 10
Suppose -4*q**3 - 188*q**2 + 4*q + 188 = 0. What is q?
-47, -1, 1
Factor 5*q**4 + 195*q**3 - 5*q**2 - 195*q.
5*q*(q - 1)*(q + 1)*(q + 39)
Factor 3*u**3 + 291*u**2 + 288*u.
3*u*(u + 1)*(u + 96)
Determine h so that -h**3 + 37*h**2 - 448*h + 1764 = 0.
9, 14
Determine q, given that 384*q**5 + 2816*q**4 + 1976*q**3 - 708*q**2 - 200*q + 52 = 0.
-13/2, -1, -1/3, 1/4
Suppose -3*f**4 + 297*f**3 - 8541*f**2 + 97851*f - 395460 = 0. What is f?
13, 60
Find a such that 5*a**3 + 1015*a**2 + 51000*a - 52020 = 0.
-102, 1
Determine u, given that -3*u**4 + 819*u**3 - 74529*u**2 + 2260713*u = 0.
0, 91
Find n such that -2*n**3/11 - 10*n**2/11 + 50*n/11 + 250/11 = 0.
-5, 5
Factor -2*u**2/9 - 2*u/3 + 56/9.
-2*(u - 4)*(u + 7)/9
Factor -243*n**4 - 2922*n**3 - 11736*n**2 - 15840*n - 384.
-3*(n + 4)**3*(81*n + 2)
Factor -2*h**3/3 - 214*h**2/3 - 5390*h/3 + 6050.
-2*(h - 3)*(h + 55)**2/3
Suppose -3*g**2/2 - 60*g + 123/2 = 0. What is g?
-41, 1
Factor -4*l**5/7 - 144*l**4 - 9072*l**3.
-4*l**3*(l + 126)**2/7
Factor -t**4/4 - 253*t**3/4 - 499*t**2/4 + 753*t/4.
-t*(t - 1)*(t + 3)*(t + 251)/4
Solve -180*p**5 - 5*p**4 + 325*p**3 - 25*p**2 - 145*p + 30 = 0.
-1, 2/9, 3/4, 1
Suppose -11500*c**3 - 7400*c**2 - 1335*c - 45 = 0. Calculate c.
-3/10, -1/23
Factor -u**2 + u + 56.
-(u - 8)*(u + 7)
Factor 3*t**4 + 6*t**3 - 3*t**2 - 6*t.
3*t*(t - 1)*(t + 1)*(t + 2)
Find u such that -8*u**2/13 + 30*u/13 - 18/13 = 0.
3/4, 3
Suppose 21*s**4 - 36*s**3 - 96*s**2 + 144*s + 48 = 0. Calculate s.
-2, -2/7, 2
Determine q, given that -6*q**4/5 + 117*q**3/5 - 267*q**2/5 + 207*q/5 - 51/5 = 0.
1/2, 1, 17
Factor -3*z**3 + 12*z**2 + 57*z + 42.
-3*(z - 7)*(z + 1)*(z + 2)
Find p, given that 2*p**2/11 + 18*p/11 - 272/11 = 0.
-17, 8
Solve 2*c**2/11 - 6*c/11 - 16 = 0.
-8, 11
Solve -4*v**2 + 6052*v + 6056 = 0 for v.
-1, 1514
Factor 4*i**2 + 1068*i - 4336.
4*(i - 4)*(i + 271)
Solve z**4/6 + 10*z**3/3 + 43*z**2/6 - 116*z - 120 = 0.
-12, -1, 5
Factor -4*j**4 - 52*j**3 + 60*j**2 + 52*j - 56.
-4*(j - 1)**2*(j + 1)*(j + 14)
Solve 2*s**5 + 20*s**4 + 66*s**3 + 80*s**2 + 32*s = 0.
-4, -1, 0
Determine l so that 4*l**4 + 124*l**3 - 144*l**2 - 496*l + 512 = 0.
-32, -2, 1, 2
Factor -r**3 + 8*r**2 - 12*r.
-r*(r - 6)*(r - 2)
Suppose 3*a**2/4 + 99*a/2 - 201/4 = 0. Calculate a.
-67, 1
Find d such that d**3 + 1066*d**2 + 284089*d = 0.
-533, 0
Factor -4*n**5 + 300*n**4 - 4800*n**3 - 32000*n**2.
-4*n**2*(n - 40)**2*(n + 5)
Solve -o**3 + 286*o**2 = 0.
0, 286
Factor 2*h**2/11 - 1024*h/11 + 131072/11.
2*(h - 256)**2/11
Determine p so that 16*p**3 - 28*p**2 - 56*p - 12 = 0.
-1, -1/4, 3
Factor -5*q**3 - 75*q**2 - 235*q + 315.
-5*(q - 1)*(q + 7)*(q + 9)
Let 8*j**5/17 - 48*j**4/17 + 2*j**3 + 38*j**2/17 - 42*j/17 + 10/17 = 0. What is j?
-1, 1/2, 1, 5
Factor 2*h**2/11 + 732*h/11 - 734/11.
2*(h - 1)*(h + 367)/11
Suppose r**4 - 8*r**3 + 12*r**2 + 32*r - 64 = 0. What is r?
-2, 2, 4
Factor 36*a**3/5 - 32*a**2/5 - 68*a + 336/5.
4*(a - 3)*(a - 1)*(9*a + 28)/5
Solve -y**3 - 10*y**2 + 375*y + 4500 = 0.
-15, 20
Solve -5*a**2 + 25220*a - 31802420 = 0.
2522
Factor 5*l**5 - 15*l**4 - 10*l**3 + 60*l**2 - 40*l.
5*l*(l - 2)**2*(l - 1)*(l + 2)
Solve m**2/9 - 161*m/9 = 0 for m.
0, 161
Factor -2*k**2 + 602*k/5 - 552.
-2*(k - 5)*(5*k - 276)/5
Suppose 2*h**4 - 216*h**3 + 6812*h**2 - 52920*h + 120050 = 0. Calculate h.
5, 49
Let -2*k**3 - 73*k**2/2 - 73*k - 16 = 0. What is k?
-16, -2, -1/4
Find g such that 49*g**3/5 - 3906*g**2/5 + 6588*g/5 - 2808/5 = 0.
6/7, 78
Factor 38*f**3 - 1828*f**2 - 3608*f + 400.
2*(f - 50)*(f + 2)*(19*f - 2)
Determine c so that c**2/4 + 7*c/2 + 6 = 0.
-12, -2
Factor -3*v**2 + 31920*v - 84907200.
-3*(v - 5320)**2
Let -2*o**3/9 + 106*o**2 - 38080*o/3 + 113288/9 = 0. What is o?
1, 238
Let -15*z**5/4 + 17*z**4/4 + 39*z**3/4 - 13*z**2/4 - 6*z - 1 = 0. What is z?
-1, -2/3, -1/5, 1, 2
Solve -3*m**4 + 63*m**3 + 153*m**2 - 327*m - 414 = 0 for m.
-3, -1, 2, 23
Solve -8*z**5 - 4*z**4 + 39*z**3/2 - 17*z**2/2 + z = 0 for z.
-2, 0, 1/4, 1
Factor 5*c**4 - 40*c**3 - 150*c**2 - 160*c - 55.
5*(c - 11)*(c + 1)**3
Factor -2*w**2 + 24*w - 54.
-2*(w - 9)*(w - 3)
Factor -2*g**3/3 + 16*g**2 + 170*g/3 - 72.
-2*(g - 27)*(g - 1)*(g + 4)/3
What is m in -8*m**2 - 6019*m + 6027 = 0?
-6027/8, 1
Factor 4*b**5 + 20*b**4 + 12*b**3 - 20*b**2 - 16*b.
4*b*(b - 1)*(b + 1)**2*(b + 4)
Factor -3*j**2 + 351*j - 3780.
-3*(j - 105)*(j - 12)
Factor -14*k**2/5 - 106*k/5 - 156/5.
-2*(k + 2)*(7*k + 39)/5
Factor 2*u**2/19 - 11788*u/19 + 17369618/19.
2*(u - 2947)**2/19
What is d in 99*d**2 - 105*d + 6 = 0?
2/33, 1
Determine i, given that 16562*i**4/3 + 17290*i**3/3 + 736*i**2/3 + 8*i/3 = 0.
-1, -2/91, 0
Let -2*h**2 + 1500*h - 281250 = 0. What is h?
375
Let -7*v**3/3 - 2*v**2/3 = 0. What is v?
-2/7, 0
Factor 4*g**3/7 + 16*g**2/7 + 4*g/7 - 24/7.
4*(g - 1)*(g + 2)*(g + 3)/7
What is g in -5*g**2 - 615*g - 1210 = 0?
-121, -2
Let 3*x**4 - 30*x**3 + 36*x**2 + 216*x = 0. Calculate x.
-2, 0, 6
Let 2*w**4 - 368*w**3 + 366*w**2 = 0. Calculate w.
0, 1, 183
Suppose h**2/4 - 7*h = 0. What is h?
0, 28
Factor 2*n**3 + 74*n**2 - 76*