Factor 3*n**4/4 + 21*n**3/4 + 6*n**2 - 12*n.
3*n*(n - 1)*(n + 4)**2/4
Let 28*y**4 + 400*y**3 - 3892*y**2 - 57928*y - 16224 = 0. Calculate y.
-13, -2/7, 12
Factor -50*f**3 + 155*f**2 - 115*f + 10.
-5*(f - 2)*(f - 1)*(10*f - 1)
Factor g**2 - 19*g.
g*(g - 19)
Factor -s**2 - 6*s + 112.
-(s - 8)*(s + 14)
Factor -2*z**2/3 + 208*z/3 + 424/3.
-2*(z - 106)*(z + 2)/3
Let -q**4/3 + q**3/3 + 36*q**2 + 560*q/3 + 832/3 = 0. Calculate q.
-4, 13
What is r in -5*r**2 - 55*r + 130 = 0?
-13, 2
What is x in -2*x**4/5 - 82*x**3/5 - 606*x**2/5 - 974*x/5 - 448/5 = 0?
-32, -7, -1
Solve 3*j**4/2 + 2481*j**3 + 1366200*j**2 + 249552576*j - 504589824 = 0.
-552, 2
Factor 6*m**2 + 9756*m/7 + 2784/7.
6*(m + 232)*(7*m + 2)/7
Factor x**2 + 97*x - 98.
(x - 1)*(x + 98)
Factor -2*k**3/9 + 2*k/9.
-2*k*(k - 1)*(k + 1)/9
What is q in q**4 - 3*q**3 - 144*q**2 - 540*q = 0?
-6, 0, 15
Find i such that -i**2 - 8*i - 12 = 0.
-6, -2
Factor -3*p**4 - 1458*p**3 - 181467*p**2 - 1049760*p - 1555200.
-3*(p + 3)**2*(p + 240)**2
Suppose 2*g**5/7 - 292*g**4/7 + 11770*g**3/7 - 81728*g**2/7 + 194856*g/7 - 152352/7 = 0. Calculate g.
2, 4, 69
Factor 2*t**4 + 18*t**3 - 124*t**2 + 216*t - 112.
2*(t - 2)**2*(t - 1)*(t + 14)
Factor 3*p**2 + 1209*p + 1206.
3*(p + 1)*(p + 402)
Find q, given that 45*q**5 - 1500*q**4 + 9635*q**3 + 26360*q**2 - 46260*q + 16560 = 0.
-3, 2/3, 12, 23
Solve 2*s**4 - 500*s**3 + 31746*s**2 - 62000*s + 30752 = 0.
1, 124
Determine u, given that 3*u**3 - 582*u**2 - 585*u = 0.
-1, 0, 195
Suppose -2*y**2/17 + 24*y - 1600/17 = 0. What is y?
4, 200
Let -3*u**2/8 - 135*u/8 + 69/4 = 0. What is u?
-46, 1
Suppose -4*d**4/5 - 36*d**3/5 + 92*d**2/5 + 36*d/5 - 88/5 = 0. Calculate d.
-11, -1, 1, 2
Let -3*c**4 + 276*c**3 - 6618*c**2 + 12420*c - 6075 = 0. What is c?
1, 45
Find m, given that -m**3/4 + 15*m**2/2 - 14*m = 0.
0, 2, 28
Let -5*f**3 - 155*f**2 - 670*f - 520 = 0. Calculate f.
-26, -4, -1
Factor -2*m**3/17 - 18*m**2/17 + 96*m/17 - 104/17.
-2*(m - 2)**2*(m + 13)/17
Find i such that -5*i**5/2 + 98*i**4 - 1829*i**3/2 - 1021*i**2 + 2240*i - 400 = 0.
-2, 1/5, 1, 20
Determine p so that 10*p**3/7 + 368*p**2 - 3622*p/7 + 148 = 0.
-259, 2/5, 1
Suppose -2*j**2/5 + 94*j - 468/5 = 0. What is j?
1, 234
Factor 3*u**2 + 546*u.
3*u*(u + 182)
Factor -f**4 + 98*f**3 - 1836*f**2 - 29160*f.
-f*(f - 54)**2*(f + 10)
Find h, given that -55*h**4 + 1660*h**3 - 1895*h**2 + 290*h = 0.
0, 2/11, 1, 29
Let 4*b**4/3 + 8*b**3 - 32*b**2 + 104*b/3 - 12 = 0. Calculate b.
-9, 1
Factor -2*k**2 + 128*k - 2048.
-2*(k - 32)**2
Let 4*v**2/7 + 1640*v/7 + 168100/7 = 0. Calculate v.
-205
Let -4*f**3 + 28*f**2 - 44*f + 20 = 0. What is f?
1, 5
Factor 2*w**4 + 20*w**3 + 22*w**2 - 140*w.
2*w*(w - 2)*(w + 5)*(w + 7)
Solve -4*q**2 - 824*q + 2508 = 0 for q.
-209, 3
Find z, given that 3*z**5 - 96*z**4 + 924*z**3 - 2352*z**2 = 0.
0, 4, 14
Suppose 10*m**4/9 - 22*m**3/3 - 38*m**2/9 + 22*m/3 + 28/9 = 0. What is m?
-1, -2/5, 1, 7
What is p in 10*p**3/19 - 18*p**2/19 + 8*p/19 = 0?
0, 4/5, 1
Factor -d**2 + d + 6.
-(d - 3)*(d + 2)
Let v**3 - 7*v**2 - 86*v - 168 = 0. What is v?
-4, -3, 14
Find f such that -f**5 + 18*f**4 + 567*f**3 + 2916*f**2 = 0.
-9, 0, 36
What is x in 494*x**4/5 + 1486*x**3/5 + 1494*x**2/5 + 506*x/5 + 4/5 = 0?
-1, -2/247
Determine l, given that l**3 + 9*l**2 - l - 105 = 0.
-7, -5, 3
Factor -n**4 - 43*n**3 - 83*n**2 - 41*n.
-n*(n + 1)**2*(n + 41)
Determine x, given that -3*x**2 - 231*x + 474 = 0.
-79, 2
Factor 2*w**5 + 10*w**4 - 6*w**3 - 26*w**2 + 20*w.
2*w*(w - 1)**2*(w + 2)*(w + 5)
Factor -a**4 + 21*a**3 + 95*a**2 + 123*a + 50.
-(a - 25)*(a + 1)**2*(a + 2)
Factor -j**4/5 - 42*j**3/5 - 117*j**2/5 + 6804*j/5 - 26244/5.
-(j - 6)**2*(j + 27)**2/5
Factor -2*f**3 - 58*f**2 + 352*f + 408.
-2*(f - 6)*(f + 1)*(f + 34)
Find z such that -z**3/5 + 427*z**2/5 = 0.
0, 427
Find u such that 4*u**5/5 + 28*u**4/5 + 52*u**3/5 + 4*u**2/5 - 56*u/5 - 32/5 = 0.
-4, -2, -1, 1
Factor n**3/8 + 677*n**2/8.
n**2*(n + 677)/8
Factor -2*d**2/7 + 4*d/7 - 2/7.
-2*(d - 1)**2/7
Factor -t**5/9 - 4*t**4/9 - t**3/9 + 10*t**2/9 + 4*t/9 - 8/9.
-(t - 1)**2*(t + 2)**3/9
Solve 18*a**4 - 402*a**3 - 706*a**2 - 334*a - 48 = 0 for a.
-1, -1/3, 24
Factor -2*s**4/9 + 10*s**3/9 + 16*s**2/9 - 8*s/3.
-2*s*(s - 6)*(s - 1)*(s + 2)/9
Let 3*j**2/5 + 54*j/5 - 57/5 = 0. Calculate j.
-19, 1
Determine n so that -5*n**3 + 85*n**2 - 330*n = 0.
0, 6, 11
Factor -2*m**3 - 54*m**2 - 192*m - 184.
-2*(m + 2)**2*(m + 23)
Find t, given that 4*t**3 - 148*t**2 - 308*t - 156 = 0.
-1, 39
Suppose -2*p**2/7 + 2108*p/7 - 555458/7 = 0. Calculate p.
527
Factor 4*i**2/3 - 52*i/3 + 40.
4*(i - 10)*(i - 3)/3
Suppose 15*a**4 - 260*a**3 + 525*a**2 + 20*a - 300 = 0. Calculate a.
-2/3, 1, 2, 15
Suppose -2*d**2/3 - 68*d - 1734 = 0. What is d?
-51
Solve 36*j**4/5 - 4*j**3 - 52*j**2/5 + 4*j + 16/5 = 0.
-1, -4/9, 1
Solve 4*g**5/9 + 29*g**4/9 + g**3/3 - 29*g**2/9 - 7*g/9 = 0.
-7, -1, -1/4, 0, 1
Factor s**3/2 - 201*s**2 + 26934*s - 1203052.
(s - 134)**3/2
Suppose h**3 - 21*h**2 + 147*h - 343 = 0. What is h?
7
What is a in -5*a**3 - 2705*a**2 - 364495*a + 367205 = 0?
-271, 1
Factor -4*m**2 - 236*m + 1280.
-4*(m - 5)*(m + 64)
Solve -4*u**2 + 192*u - 1628 = 0.
11, 37
Suppose -5*u**4 + 20*u**3 + 15*u**2 - 50*u - 40 = 0. Calculate u.
-1, 2, 4
Find m, given that m**5/12 - m**4/3 - 26*m**3/3 + 163*m**2/6 - 329*m/12 + 55/6 = 0.
-10, 1, 11
Determine o so that -4*o**4 + 24*o**3 - 48*o**2 + 40*o - 12 = 0.
1, 3
What is z in -z**3 - 57*z**2 - 110*z = 0?
-55, -2, 0
Determine n, given that n**3 + 32*n**2 + 61*n + 30 = 0.
-30, -1
Solve -9*g**5 - 51*g**4 - 90*g**3 - 48*g**2 = 0 for g.
-8/3, -2, -1, 0
Determine q, given that -4*q**2 - 235*q + 59 = 0.
-59, 1/4
Factor -u**3 - 84*u**2 + 348*u - 352.
-(u - 2)**2*(u + 88)
Solve 3*u**4 - 27*u**3 + 42*u**2 + 72*u = 0 for u.
-1, 0, 4, 6
Solve w**2/5 - 244*w/5 - 249 = 0 for w.
-5, 249
What is m in 24*m**3/11 - 146*m**2/11 + 228*m/11 - 18/11 = 0?
1/12, 3
Determine l, given that 2*l**3/7 + 74*l**2/7 + 750*l/7 + 234 = 0.
-21, -13, -3
Factor -3*z**4 + 135*z**3 - 1539*z**2 + 5817*z - 4410.
-3*(z - 30)*(z - 7)**2*(z - 1)
Determine b so that b**5/3 - 4*b**4/3 - 2*b**3/3 + 8*b**2/3 + b/3 - 4/3 = 0.
-1, 1, 4
Factor -d**3/3 - 398*d**2/3 - 3136*d/3 - 2080.
-(d + 4)**2*(d + 390)/3
What is w in -2*w**4/13 - 2*w**3/13 + 192*w**2/13 + 792*w/13 = 0?
-6, 0, 11
Let 15*w**2/8 + 13*w/8 - 1/4 = 0. Calculate w.
-1, 2/15
Let -p**4/3 + 19*p**3 + 499*p**2/3 + 449*p + 390 = 0. What is p?
-3, -2, 65
Factor r**3/2 + 8*r**2 - r/2 - 8.
(r - 1)*(r + 1)*(r + 16)/2
Determine f so that 3*f**2/5 + 21*f = 0.
-35, 0
Suppose 3*q**5 - 24*q**4 - 9*q**3 + 78*q**2 - 48*q = 0. What is q?
-2, 0, 1, 8
Let -3*z**3/8 - 45*z**2/4 + 99*z/2 - 51 = 0. What is z?
-34, 2
Suppose 14*n**2 + 202*n/3 - 40/3 = 0. What is n?
-5, 4/21
Factor -2*r**2 + 5488*r - 3764768.
-2*(r - 1372)**2
Factor -2*q**5 + 36*q**4 - 242*q**3 + 720*q**2 - 800*q.
-2*q*(q - 5)**2*(q - 4)**2
Factor 18*u**5 + 624*u**4 + 6920*u**3 + 21024*u**2 - 38016*u + 13824.
2*(u + 12)**3*(3*u - 2)**2
Factor 35*r**3 - 80*r**2 + 55*r - 10.
5*(r - 1)**2*(7*r - 2)
Determine h, given that 21*h**2 + 48*h + 12 = 0.
-2, -2/7
Factor 25*i**3 + 8405*i**2 + 707280*i + 141120.
5*(i + 168)**2*(5*i + 1)
Let 28*f**2 + 160*f - 48 = 0. What is f?
-6, 2/7
Factor 4*h**3 + 228*h**2 + 1160*h - 3264.
4*(h - 2)*(h + 8)*(h + 51)
Determine w so that -3*w**4 + 6*w**3 + 3*w**2 - 6*w = 0.
-1, 0, 1, 2
Factor -4*v**5/3 - 56*v**4/3 + 240*v**3 - 792*v**2 + 828*v.
-4*v*(v - 3)**3*(v + 23)/3
Let 2*n**4 + 10*n**3 + 12*n**2 - 8*n - 16 = 0. What is n?
-2, 1
Suppose -4*r**5/5 - 12*r**4/5 + 24*r**3/5 + 8*r**2 - 84*r/5 + 36/5 = 0. Calculate r.
-3, 1
Factor -3*t**2 + 42*t - 72.
-3*(t - 12)*(t - 2)
Factor 5*q**4 + 205*q**3 - 5150*q**2 + 9440*q.
5*q*(q - 16)*(q - 2)*(q + 59)
Determine k so that -3*k**4/8 - 303*k**3/4 - 7341*k**2/2 + 62727*k/4 - 95481/8 = 0.
-103, 1, 3
Factor -2*c**3/13 + 10*c**2/13 - 14*c/13 + 6/13.
-2*(c - 3)*(c - 1)**2/13
Factor -4*y**4 - 12*y**3 + 212*y**2 + 444*y + 224.
-4*(y - 7)*(y + 1)**2*(y + 8)
Determine x, given that -x**3 - 727*x**2/4 - 16471*x/2 + 8281/4 = 0.
-91, 1/4
Factor -k**5/2 + 2*k**4 - 3*k**3 + 2*k**2 - k/2.
-k*(k - 1)**4/2
Factor 4*y**2 + 76*y + 72.
4*(y + 1)*(y + 18)
Let -2*l**5 - 26*l**4 + 96*l**3 + 1720*l**2 + 1600*l = 0. Calculate l.
-10, -1, 0, 8
Factor -5*x**4 - 45*x**3 - 125*x**2 - 135*x 