1331/6.
(i - 11)**3*(i - 1)/6
Find f such that -76*f**3/5 - 272*f**2/5 - 316*f/5 - 24 = 0.
-30/19, -1
Factor -r**4/7 - 9*r**3/7 + 4*r**2/7 + 156*r/7 + 144/7.
-(r - 4)*(r + 1)*(r + 6)**2/7
Find d such that d**3/3 - 65*d**2/3 + 100*d = 0.
0, 5, 60
Factor 2*j**3/7 - 424*j**2/7 - 426*j/7.
2*j*(j - 213)*(j + 1)/7
Suppose 5*k**2 - 5250*k + 5245 = 0. What is k?
1, 1049
Factor 5*w**2 - 1640*w + 6480.
5*(w - 324)*(w - 4)
Factor -g**2/3 - 6*g - 17/3.
-(g + 1)*(g + 17)/3
Determine z, given that -14*z**4 - 578*z**3 - 724*z**2 - 160*z = 0.
-40, -1, -2/7, 0
Let -28*d**4/3 + 156*d**3 - 292*d**2/3 - 156*d + 320/3 = 0. Calculate d.
-1, 5/7, 1, 16
Factor z**2 + 27*z + 72.
(z + 3)*(z + 24)
Factor 3*k**4/5 - 14*k**3/5 + 19*k**2/5 - 4*k/5 - 4/5.
(k - 2)**2*(k - 1)*(3*k + 1)/5
Find u, given that -3*u**4 - 9*u**3 + 120*u**2 + 252*u = 0.
-7, -2, 0, 6
Let p**2 - 205*p - 206 = 0. What is p?
-1, 206
Suppose v**2 + 32*v = 0. Calculate v.
-32, 0
What is o in 4*o**4 - 124*o**3 - 1708*o**2 - 5780*o - 4200 = 0?
-5, -1, 42
Solve 5*u**3/4 + 25*u**2/2 + 65*u/4 - 30 = 0.
-8, -3, 1
Suppose -3*f**5/5 + 162*f**4/5 - 1203*f**3/5 - 5496*f**2 - 50688*f/5 - 24576/5 = 0. What is f?
-8, -1, 32
Determine x, given that -8*x**4 - 224*x**3/3 - 2186*x**2/9 - 2938*x/9 - 1352/9 = 0.
-4, -13/6, -1
Factor 16*v**2/15 + 2*v.
2*v*(8*v + 15)/15
Factor -r**3/4 + 13*r**2/4 - 11*r/2.
-r*(r - 11)*(r - 2)/4
Factor 10*c**2 - 52*c + 10.
2*(c - 5)*(5*c - 1)
Determine r so that 6*r**5/11 + 28*r**4/11 + 52*r**3/11 + 48*r**2/11 + 2*r + 4/11 = 0.
-1, -2/3
Suppose 4*b**3 - 996*b**2 = 0. What is b?
0, 249
Let 10*w**2 + 334*w + 132 = 0. Calculate w.
-33, -2/5
Determine n, given that 2*n**4/9 + 184*n**3/9 + 1816*n**2/3 + 55936*n/9 + 184832/9 = 0.
-38, -8
Factor 3*w**5 + 75*w**4 + 138*w**3 - 6*w**2 - 141*w - 69.
3*(w - 1)*(w + 1)**3*(w + 23)
Find s such that -s**4/11 + 2*s**3/11 + 13*s**2/11 + 10*s/11 = 0.
-2, -1, 0, 5
Factor 4*o**5/5 + 16*o**4/5 + 4*o**3 + 8*o**2/5.
4*o**2*(o + 1)**2*(o + 2)/5
Factor -2*p**3 - 208*p**2 - 5194*p + 11236.
-2*(p - 2)*(p + 53)**2
Let -q**4/8 + q**3/2 + 83*q**2/8 - 249*q/4 + 90 = 0. Calculate q.
-10, 3, 8
Solve 5*m**5/3 - 20*m**3/3 = 0 for m.
-2, 0, 2
Factor 3*j**3 + 81*j**2 - 3*j - 81.
3*(j - 1)*(j + 1)*(j + 27)
What is u in -4*u**2/3 - 161*u/3 - 40/3 = 0?
-40, -1/4
Determine p, given that p**2/3 + 5*p/3 - 50/3 = 0.
-10, 5
Factor -3*c**3 - 666*c**2 + 2037*c + 2700.
-3*(c - 4)*(c + 1)*(c + 225)
Solve 2*d**2 + 54*d + 100 = 0.
-25, -2
Determine q so that 3*q**3/5 + 3*q**2/5 - 48*q/5 - 48/5 = 0.
-4, -1, 4
Factor 20*l**3 + 48*l**2 - 68*l.
4*l*(l - 1)*(5*l + 17)
Solve 2*o**2/9 + 1852*o/9 = 0.
-926, 0
Factor -14*x**4 - 18*x**3 - 4*x**2.
-2*x**2*(x + 1)*(7*x + 2)
Factor -x**2/8 - 15*x/8 - 27/4.
-(x + 6)*(x + 9)/8
Solve 4*c**4 - 304*c**3 + 4396*c**2 + 54096*c + 49392 = 0.
-7, -1, 42
Let 18*z**2/7 - 14*z + 40/7 = 0. What is z?
4/9, 5
Suppose 9*d**3/5 - 159*d**2 + 258*d/5 + 528/5 = 0. What is d?
-2/3, 1, 88
Suppose -o**2/2 + 11*o/2 - 9 = 0. Calculate o.
2, 9
Find d, given that 3*d**4 - 18*d**3 - 45*d**2 + 300*d = 0.
-4, 0, 5
Factor 2*t**3/17.
2*t**3/17
Determine t, given that t**4 + 35*t**3 + 414*t**2 + 2052*t + 3672 = 0.
-17, -6
Find y such that -5*y**3 + 380*y**2 - 6825*y - 15210 = 0.
-2, 39
Factor 3*i**3/4 + 57*i**2/4 + 297*i/4 + 243/4.
3*(i + 1)*(i + 9)**2/4
What is j in 3*j**2 + 33*j - 78 = 0?
-13, 2
Let -4*s**5 + 72*s**4 - 304*s**3 + 168*s**2 + 308*s - 240 = 0. What is s?
-1, 1, 5, 12
Determine d, given that 2*d**3 - 36*d**2 + 66*d - 32 = 0.
1, 16
Let -4*n**4 - 4*n**3 + 44*n**2 + 36*n - 72 = 0. What is n?
-3, -2, 1, 3
Suppose -6*p**5 - 424*p**4 - 8018*p**3 - 18088*p**2 + 6936*p = 0. Calculate p.
-34, -3, 0, 1/3
Factor -2*w**2 - 40*w - 72.
-2*(w + 2)*(w + 18)
Determine g so that -3*g**2/2 - 45*g = 0.
-30, 0
Factor 2*f**2/7 - 34*f/7 - 76/7.
2*(f - 19)*(f + 2)/7
Determine b so that b**5/5 + 22*b**4/5 + 108*b**3/5 + 202*b**2/5 + 163*b/5 + 48/5 = 0.
-16, -3, -1
Suppose -2*y**2/7 - 4372*y/7 - 2389298/7 = 0. Calculate y.
-1093
Factor -h**2 + 341*h + 342.
-(h - 342)*(h + 1)
Find q, given that -3*q**4/8 - 105*q**3/4 - 621*q**2 - 5340*q - 8400 = 0.
-28, -20, -2
Factor v**3 + 11*v**2 + 20*v - 32.
(v - 1)*(v + 4)*(v + 8)
Factor 4*w**2 + 452*w.
4*w*(w + 113)
Determine l so that -5*l**5/4 - 5*l**4/2 + 45*l**3 + 5*l**2/2 - 175*l/4 = 0.
-7, -1, 0, 1, 5
What is a in 10*a**3/3 - 44*a**2 + 150*a - 328/3 = 0?
1, 4, 41/5
Determine u so that -3*u**4 - 8*u**3 - 6*u**2 + 1 = 0.
-1, 1/3
Factor 4*y**4 - 24*y**3 + 44*y**2 - 24*y.
4*y*(y - 3)*(y - 2)*(y - 1)
Solve -3*l**3 - 180*l**2 + 381*l + 558 = 0.
-62, -1, 3
Find y, given that 3*y**2 + 39*y + 120 = 0.
-8, -5
Factor -5*l**3 + 235*l**2 - 2660*l.
-5*l*(l - 28)*(l - 19)
Factor 3*z**5 - 24*z**4 - 1275*z**3.
3*z**3*(z - 25)*(z + 17)
Factor w**3/5 + 26*w**2/5 + 104*w/5 - 64.
(w - 2)*(w + 8)*(w + 20)/5
Factor 3*i**5/7 + 48*i**4/7 + 138*i**3/7 - 432*i**2/7 + 243*i/7.
3*i*(i - 1)**2*(i + 9)**2/7
Solve 2*k**3/7 - 76*k**2/7 + 848*k/7 - 2304/7 = 0 for k.
4, 16, 18
Let 15*p**3 + 20*p**2 - 25*p - 10 = 0. Calculate p.
-2, -1/3, 1
Factor 5*a**3 - 30750*a**2 + 63037500*a - 43075625000.
5*(a - 2050)**3
Find n such that n**4/3 - 5*n**3/3 - 4*n**2/3 + 20*n/3 = 0.
-2, 0, 2, 5
Suppose v**4/9 + 44*v**3/9 + 379*v**2/9 - 848*v/3 - 320 = 0. Calculate v.
-24, -1, 5
Determine y, given that -4*y**2/3 + 12*y - 80/3 = 0.
4, 5
Find k, given that 416*k**2 + 844*k + 24 = 0.
-2, -3/104
Suppose 2*r**3 - 12*r**2 + 16*r = 0. Calculate r.
0, 2, 4
Factor -4*d**2/5 - 40*d + 416/5.
-4*(d - 2)*(d + 52)/5
Determine p, given that p**4/2 + 91*p**3/8 + 143*p**2/8 - 91*p/8 - 147/8 = 0.
-21, -7/4, -1, 1
Factor -4*a**2/3 + 146*a + 220/3.
-2*(a - 110)*(2*a + 1)/3
Factor 5*q**3 + 100*q**2 + 265*q + 170.
5*(q + 1)*(q + 2)*(q + 17)
Suppose a**4 + 3*a**3 - 25*a**2 + 21*a = 0. What is a?
-7, 0, 1, 3
Determine w so that 14*w**4 - 22*w**3 - 20*w**2 + 16*w = 0.
-1, 0, 4/7, 2
Find s, given that 2*s**2/7 + 134*s/7 + 132/7 = 0.
-66, -1
Factor 18*u**2 - 141*u - 24.
3*(u - 8)*(6*u + 1)
Factor 2*g**3/5 + 78*g**2/5 + 144*g - 160.
2*(g - 1)*(g + 20)**2/5
Factor 5*a**4 + 2025*a**3.
5*a**3*(a + 405)
Determine k so that k**2 - 14*k + 49 = 0.
7
What is a in 4*a**5 - 12*a**4 - 4*a**3 + 12*a**2 = 0?
-1, 0, 1, 3
Factor -3*f**3 - 297*f**2 - 582*f.
-3*f*(f + 2)*(f + 97)
Factor -15*n**3 - 51*n**2 + 36*n.
-3*n*(n + 4)*(5*n - 3)
Let -2*r**5/13 - 144*r**4/13 + 294*r**3/13 - 148*r**2/13 = 0. What is r?
-74, 0, 1
Factor -g**3/4 + 3*g**2/2 + g - 6.
-(g - 6)*(g - 2)*(g + 2)/4
Let d**5/2 - 77*d**4/2 - 243*d**3 - 494*d**2 - 332*d = 0. Calculate d.
-2, 0, 83
Determine d so that -5*d**3 - 10*d**2 - 5*d = 0.
-1, 0
Factor 5*w**2 + 35*w + 60.
5*(w + 3)*(w + 4)
Factor 3*r**2 - 201*r + 198.
3*(r - 66)*(r - 1)
Factor -3*f**3 + 15*f**2 - 6*f - 24.
-3*(f - 4)*(f - 2)*(f + 1)
Factor -6*o**2/11 - 12*o + 138/11.
-6*(o - 1)*(o + 23)/11
What is r in 2*r**5 - 12*r**3 - 16*r**2 - 6*r = 0?
-1, 0, 3
Let -25*q**5 - 90*q**4 + 40*q**3 + 400*q**2 + 240*q - 160 = 0. Calculate q.
-2, 2/5, 2
What is v in 2*v**2/7 - 20*v - 1600/7 = 0?
-10, 80
Suppose -3*g**2 + 306*g - 1176 = 0. What is g?
4, 98
Factor 5*k**4 - 105*k**3 - 1350*k**2.
5*k**2*(k - 30)*(k + 9)
Suppose 32*v**5 + 368*v**4 + 146*v**3 - 346*v**2 - 178*v - 22 = 0. What is v?
-11, -1, -1/4, 1
Factor 5*k**3 - 20*k**2 - 55*k - 30.
5*(k - 6)*(k + 1)**2
Suppose 2*p**3/5 + 32*p**2/5 - 632*p/5 + 224 = 0. What is p?
-28, 2, 10
Factor 2*c**2/7 - 792*c/7 + 6208/7.
2*(c - 388)*(c - 8)/7
Factor -2*l**5/9 + 100*l**4 - 18000*l**3 + 1620000*l**2 - 72900000*l + 1312200000.
-2*(l - 90)**5/9
Let -3*a**2 - 3*a + 6 = 0. What is a?
-2, 1
Factor 2*k**4 - 26*k**3 + 24*k**2 + 512*k - 512.
2*(k - 8)**2*(k - 1)*(k + 4)
Let -j**4/8 + 17*j**3/8 + 39*j**2/8 - 17*j/8 - 19/4 = 0. What is j?
-2, -1, 1, 19
Factor 2*r**2/5 + 24*r/5 - 18.
2*(r - 3)*(r + 15)/5
Determine k, given that -3*k**4/7 - 36*k**3/7 - 87*k**2/7 - 54*k/7 = 0.
-9, -2, -1, 0
Suppose -32*k**3 + 1264*k**2 - 12482*k = 0. What is k?
0, 79/4
Factor -63*t**2/4 - 165*t/4.
-3*t*(21*t + 55)/4
Factor 155*a**2 + 610*a - 40.
5*(a + 4)*(31*a - 2)
Factor 486098*t**2/11 - 70992*t/11 + 2592/11.
2*(493*t - 36)**2/11
Determine m, given that 100*m**5 - 120*m**4 - 924*m**3 - 784*m**2 = 0.
-7/5, 0, 4
Factor 5*t**3/2 - 165*t**2 + 325*t/2.
5*t*(t - 65)*(t - 1)/2
Let 2*c**4/3 - 50*c**3/3 - 262*c**2/3 + 2