r -4*y**2 + 968*y - 4740.
-4*(y - 237)*(y - 5)
Factor -4*q**2 + 292*q.
-4*q*(q - 73)
Factor -l**3 + 12*l**2 - 36*l.
-l*(l - 6)**2
Factor 3*b**3 - 1569*b**2 - 4734*b.
3*b*(b - 526)*(b + 3)
Find f, given that -2*f**3 + 16*f**2 + 158*f + 140 = 0.
-5, -1, 14
Determine h, given that -105*h**5 - 40*h**4 + 125*h**3 + 40*h**2 - 20*h = 0.
-1, -2/3, 0, 2/7, 1
Solve 4*y**5 - 48*y**4 + 124*y**3 + 48*y**2 - 128*y = 0.
-1, 0, 1, 4, 8
Factor -44*g**4 - 332*g**3 + 160*g**2.
-4*g**2*(g + 8)*(11*g - 5)
Find j, given that j**3/2 - 12*j**2 + 65*j/2 - 21 = 0.
1, 2, 21
Let 4*s**3/3 - 28*s**2/3 - 4*s/3 + 28/3 = 0. Calculate s.
-1, 1, 7
Solve -2*a**4 - 44*a**3 + 254*a**2 - 424*a + 216 = 0.
-27, 1, 2
Find g such that g**4 - 26*g**3 - 4*g**2 + 104*g = 0.
-2, 0, 2, 26
Factor p**4 + 31*p**3 + 304*p**2 + 816*p - 1152.
(p - 1)*(p + 8)*(p + 12)**2
Factor -3*f**3 + 426*f**2 + 2205*f.
-3*f*(f - 147)*(f + 5)
Factor -4*l**3 + 56*l**2 - 44*l - 104.
-4*(l - 13)*(l - 2)*(l + 1)
Factor 2*j**3/3 + 8*j**2/3 - 40*j.
2*j*(j - 6)*(j + 10)/3
What is b in 2*b**5 + 14*b**4 - 68*b**3 - 56*b**2 + 240*b = 0?
-10, -2, 0, 2, 3
Factor 6*n**2 + 75*n/2 + 75/2.
3*(n + 5)*(4*n + 5)/2
Determine x, given that 2*x**5/15 + 26*x**4/15 - 2*x**3/15 - 26*x**2/15 = 0.
-13, -1, 0, 1
Factor -2*p**2/3 + 18*p - 220/3.
-2*(p - 22)*(p - 5)/3
Let -4*g**2/3 + 877*g/3 - 73 = 0. What is g?
1/4, 219
Factor o**2/4 - 3*o/4 - 10.
(o - 8)*(o + 5)/4
Factor 57*r**5 + 6*r**4.
3*r**4*(19*r + 2)
Let q**4 - 74*q**3 + 1441*q**2 - 2664*q + 1296 = 0. What is q?
1, 36
What is l in 2*l**5/5 + 66*l**4/5 + 562*l**3/5 - 1066*l**2/5 - 18252*l/5 + 35152/5 = 0?
-13, 2, 4
Find p such that -p**3 + 3*p - 2 = 0.
-2, 1
Factor 5*v**3 - 815*v**2 - 1645*v - 825.
5*(v - 165)*(v + 1)**2
What is j in 45*j**4 + 10*j**3 - 45*j**2 - 10*j = 0?
-1, -2/9, 0, 1
Factor -y**3/6 - 14*y**2/3.
-y**2*(y + 28)/6
Factor f**5/4 - f**4 - 37*f**3/4 + 10*f**2.
f**2*(f - 8)*(f - 1)*(f + 5)/4
Determine r so that -4*r**2 + 1872*r - 219024 = 0.
234
Find x such that -2*x**2/5 - 46*x/5 - 152/5 = 0.
-19, -4
Factor 2*n**4/9 - 28*n**3/9 + 106*n**2/9 - 80*n/9.
2*n*(n - 8)*(n - 5)*(n - 1)/9
Suppose 2*w**5/7 + 12*w**4/7 + 2*w**3 - 36*w**2/7 - 88*w/7 - 48/7 = 0. Calculate w.
-3, -2, -1, 2
Find i such that -162*i**5/13 + 31518*i**4/13 - 1510064*i**3/13 - 2231664*i**2/13 - 766752*i/13 - 76832/13 = 0.
-1, -2/9, 98
Suppose -t**2/3 + 49*t/3 = 0. Calculate t.
0, 49
Solve -4*s**2/3 - 136*s - 3468 = 0.
-51
Factor 3*q**3 - 750*q**2 + 41184*q + 731808.
3*(q - 132)**2*(q + 14)
Suppose s**3 - 327*s**2 + 326*s = 0. What is s?
0, 1, 326
Find s such that 120*s**4 + 4*s**3/3 - 360*s**2 - 244*s - 8/3 = 0.
-1, -1/90, 2
Solve -d**5/2 - 11*d**4/2 - 25*d**3/2 + 31*d**2/2 + 31*d - 28 = 0 for d.
-7, -4, -2, 1
Find p such that -9*p**5 - 3225*p**4 - 10671*p**3 - 7443*p**2 + 4272*p + 4260 = 0.
-355, -2, -1, 2/3
Determine b so that b**2 + 69*b + 684 = 0.
-57, -12
Factor -2*a**4/3 + 14*a**3/3 - 28*a**2/3 + 16*a/3.
-2*a*(a - 4)*(a - 2)*(a - 1)/3
Solve 4*z**3/7 + 40*z**2/7 + 12*z = 0 for z.
-7, -3, 0
Determine j so that -3*j**2/5 + 29916*j/5 - 74580588/5 = 0.
4986
Factor -b**2 + 645*b - 3834.
-(b - 639)*(b - 6)
Factor 7*f**3 + 37*f**2 - 242*f - 72.
(f - 4)*(f + 9)*(7*f + 2)
Factor 2*x**4/11 + 80*x**3/11 - 82*x**2/11.
2*x**2*(x - 1)*(x + 41)/11
Find p, given that -108*p**2 - 748*p + 56 = 0.
-7, 2/27
What is g in -7*g**4/2 + 457*g**3/8 + 42*g**2 - 217*g/8 - 17/2 = 0?
-1, -1/4, 4/7, 17
Suppose 2*i**2 + 455*i + 227 = 0. What is i?
-227, -1/2
Factor -49*w**5 - 33103*w**4 - 7460779*w**3 - 562395825*w**2 - 319545000*w - 45562500.
-(w + 225)**3*(7*w + 2)**2
Determine g, given that -2*g**4/9 + 8*g**3/3 + 10*g**2 = 0.
-3, 0, 15
Determine j, given that -2*j**4/3 - 10*j**3 + 144*j**2 = 0.
-24, 0, 9
Let 2*b**5 - 20*b**4 + 12*b**3 + 64*b**2 - 94*b + 36 = 0. What is b?
-2, 1, 9
Factor 2*z**4 + 76*z**3 + 642*z**2 - 1520*z + 800.
2*(z - 1)**2*(z + 20)**2
Factor -p**2/8 + 23*p/8 - 15.
-(p - 15)*(p - 8)/8
Factor -12*b**4 + 45*b**3 - 24*b**2 - 9*b.
-3*b*(b - 3)*(b - 1)*(4*b + 1)
Factor 2*r**4 + 36*r**3 + 160*r**2 - 36*r - 162.
2*(r - 1)*(r + 1)*(r + 9)**2
Factor 21*x**4 + 2*x**3.
x**3*(21*x + 2)
Find i such that 2*i**5 + 36*i**4 - 94*i**3 - 288*i**2 - 160*i = 0.
-20, -1, 0, 4
Find f such that -4*f**5/25 - 2*f**4/5 + 38*f**3/25 + 84*f**2/25 = 0.
-7/2, -2, 0, 3
Factor -5*a**2 - 15*a + 90.
-5*(a - 3)*(a + 6)
Factor 3*c**3/4 + 171*c**2/4 + 333*c/4 + 165/4.
3*(c + 1)**2*(c + 55)/4
Factor -3*q**4 + 81*q**3 + 471*q**2 + 315*q - 864.
-3*(q - 32)*(q - 1)*(q + 3)**2
Let 56*g**4 + 492*g**3 - 144*g**2 - 332*g - 72 = 0. What is g?
-9, -1/2, -2/7, 1
Solve -2*p**4/3 + 8224*p**3/3 - 4227136*p**2 + 8690991616*p/3 - 2233584845312/3 = 0.
1028
Solve -36*x**4 + 456*x**3 + 1196*x**2 + 944*x + 240 = 0 for x.
-1, -2/3, 15
Find u such that 5*u**4 + 3565*u**3 + 3555*u**2 - 3565*u - 3560 = 0.
-712, -1, 1
Factor 2*p**3/3 - 428*p**2/3 - 290*p + 432.
2*(p - 216)*(p - 1)*(p + 3)/3
Find h, given that 4*h**5/5 + 72*h**4/5 + 312*h**3/5 - 208*h**2/5 - 828*h/5 + 648/5 = 0.
-9, -2, 1
Factor 22*b**5/9 + 92*b**4/9 + 148*b**3/9 + 112*b**2/9 + 38*b/9 + 4/9.
2*(b + 1)**4*(11*b + 2)/9
Factor -3*s**2/5 - 864*s/5 + 1239.
-3*(s - 7)*(s + 295)/5
Suppose -n**4/4 - 243*n**3/4 + 61*n**2 = 0. Calculate n.
-244, 0, 1
Determine k so that -5*k**5 + 5*k**4 + 205*k**3 - 165*k**2 - 900*k - 540 = 0.
-6, -1, 3, 6
Solve 2*a**3 - 78*a**2 - 162*a - 82 = 0 for a.
-1, 41
What is t in t**2/7 + 8*t/7 + 12/7 = 0?
-6, -2
Solve -4*a**2/7 - 2252*a/7 - 2248/7 = 0 for a.
-562, -1
Factor 2*k**2/5 + 462*k/5 + 540.
2*(k + 6)*(k + 225)/5
What is v in -4*v**3 + 84*v**2 + 400*v = 0?
-4, 0, 25
Factor -4*y**3 + 13788*y**2 - 15842412*y + 6067643796.
-4*(y - 1149)**3
Solve 12*c**5 - 93*c**4 + 255*c**3 - 288*c**2 + 108*c = 0.
0, 3/4, 2, 3
Suppose -3*s**3/7 + 120*s**2/7 - 444*s/7 + 432/7 = 0. Calculate s.
2, 36
Solve 4*u**3 + 56*u**2 + 140*u + 88 = 0 for u.
-11, -2, -1
Factor p**3 - 521*p**2 + 520*p.
p*(p - 520)*(p - 1)
What is u in -15*u**3/4 + 205*u**2/2 - 840*u + 1800 = 0?
10/3, 12
Suppose w**5 + 13*w**4 + 42*w**3 - 4*w**2 - 184*w - 192 = 0. What is w?
-8, -3, -2, 2
Let 12*t**5 - 1479*t**4 + 4725*t**3 - 5421*t**2 + 2523*t - 360 = 0. What is t?
1/4, 1, 120
Solve -u**3 + 26*u**2 = 0 for u.
0, 26
Factor -3*s**2 + 1356*s - 153228.
-3*(s - 226)**2
Find h such that -5*h**4 - 115*h**3 + 545*h**2 + 115*h - 540 = 0.
-27, -1, 1, 4
Suppose -3*a**4 - 462*a**3 - 17319*a**2 + 36036*a - 18252 = 0. What is a?
-78, 1
Factor 2*s**4 + 20*s**3 + 72*s**2 + 108*s + 54.
2*(s + 1)*(s + 3)**3
Factor 5*j**5 + 30*j**4 + 55*j**3 + 30*j**2.
5*j**2*(j + 1)*(j + 2)*(j + 3)
Solve 3*n**5/4 + 21*n**4/2 + 54*n**3 + 120*n**2 + 96*n = 0 for n.
-4, -2, 0
Factor 4*c**2 + 12*c - 40.
4*(c - 2)*(c + 5)
What is j in -2*j**3/3 - 2248*j**2/3 + 750*j = 0?
-1125, 0, 1
Factor -8*y**3/5 - 118*y**2/5 - 418*y/5 + 112/5.
-2*(y + 7)*(y + 8)*(4*y - 1)/5
Suppose 5*t**4 - 1195*t**3 - 2410*t**2 = 0. What is t?
-2, 0, 241
What is i in 48*i**5/7 - 456*i**4/7 - 261*i**3/7 + 213*i**2/7 - 30*i/7 = 0?
-1, 0, 1/4, 10
Suppose -2*b**3 - 284*b**2 - 10082*b = 0. What is b?
-71, 0
Solve 3*o**2/2 - 9*o - 24 = 0 for o.
-2, 8
Factor -2*j**4 + 58*j**3 - 500*j**2 + 768*j + 4032.
-2*(j - 12)**2*(j - 7)*(j + 2)
Determine k, given that -k**2/9 - 28*k/3 + 85/9 = 0.
-85, 1
Factor 500*h**4 - 700*h**3 + 245*h**2.
5*h**2*(10*h - 7)**2
Solve -2*v**4/15 - 52*v**3/15 + 2*v**2/5 + 32*v/3 + 104/15 = 0 for v.
-26, -1, 2
Solve 2*c**3 + 7872*c**2 + 10328064*c + 4516806656 = 0 for c.
-1312
Find q, given that q**4/5 - 16*q**3/5 + 52*q**2/5 - 48*q/5 = 0.
0, 2, 12
Find g, given that -80*g**5 + 120*g**4 + 1235*g**3 + 965*g**2 - 720*g + 100 = 0.
-2, 1/4, 5
Factor -20*i**4 - 20*i**3 + 35*i**2 - 10*i.
-5*i*(i + 2)*(2*i - 1)**2
Factor -4*p**3 + 40*p**2 - 96*p.
-4*p*(p - 6)*(p - 4)
Factor -h**2/2 - 6*h.
-h*(h + 12)/2
What is m in 15*m**2 + 96*m + 144 = 0?
-4, -12/5
Factor -i**2/2 + 13*i/2 - 15.
-(i - 10)*(i - 3)/2
Factor -k**2 + 847*k - 1690.
-(k - 845)*(k - 2)
Let -2*a**5 - 86*a**4 - 912*a**3 - 656*a**2 + 16480*a - 21600 = 0. What is a?
-27, -10, 2
Factor o**2/5 - 86*o/5 - 267/5.
(o - 89)*(o + 3)/5
Solve z**5/2 - 5*z**4/2 + 3*z**3/2 + 9*z**2/2 = 0 for z.
-1, 0, 3
Determine s, given that -2*s**4 + 150*s**3 - 578*s**2 + 714*s - 284 = 0.
1, 2, 71
Factor -2*d**3/5 + 10*d**2 + 2*d/5 - 10.
-2*(d - 25)*(d - 1