(i - 1)*(i + 102)/4
Determine u, given that 3*u**4/7 - 3*u**3 - 27*u**2/7 + 3*u + 24/7 = 0.
-1, 1, 8
Determine t so that -22*t**4/5 + 158*t**3/5 - 54*t**2 + 154*t/5 - 4 = 0.
2/11, 1, 5
Let -50*r**2 + 1640*r + 664 = 0. Calculate r.
-2/5, 166/5
Find p, given that -2*p**5/9 + 2*p**4/3 + 2*p**3/3 - 22*p**2/9 + 4*p/3 = 0.
-2, 0, 1, 3
Solve -j**4 - 20*j**3 + 66*j**2 - 68*j + 23 = 0.
-23, 1
Factor -4*z**3 + 140*z**2 + 356*z - 2220.
-4*(z - 37)*(z - 3)*(z + 5)
Factor t**2 + t - 42.
(t - 6)*(t + 7)
Let 2*n**2/3 + 1508*n/3 + 284258/3 = 0. Calculate n.
-377
Find t, given that 4*t**3/3 - 4*t**2 + 8*t/3 = 0.
0, 1, 2
Determine c, given that 3*c**5 - 21*c**4 - 18*c**3 + 204*c**2 + 120*c - 288 = 0.
-2, 1, 4, 6
Find g such that 4*g**4 - 16*g**3 - 72*g**2 - 80*g - 28 = 0.
-1, 7
Factor 3*a**2 - 7440*a - 14892.
3*(a - 2482)*(a + 2)
Suppose -3*t**4/4 - 39*t**3/2 - 126*t**2 + 39*t/2 + 507/4 = 0. What is t?
-13, -1, 1
Solve b**3 + 70*b**2 + 1152*b - 2592 = 0.
-36, 2
Factor -5*w**5 + 855*w**4 - 48730*w**3 + 925110*w**2 + 48735*w - 925965.
-5*(w - 57)**3*(w - 1)*(w + 1)
Find r such that -2*r**5/3 + 44*r**4/3 + 6*r**3 - 404*r**2/3 + 152*r/3 + 176 = 0.
-3, -1, 2, 22
Find t such that -25*t**3 - 127*t**2 - 160*t - 12 = 0.
-3, -2, -2/25
Suppose 5*w**3 + 30*w**2 - 35*w = 0. Calculate w.
-7, 0, 1
Factor 2*j**4 + 1024*j**3 + 131072*j**2.
2*j**2*(j + 256)**2
Factor b**2 - 54*b - 55.
(b - 55)*(b + 1)
Determine o so that 5*o**5 - 35*o**4 + 30*o**3 + 160*o**2 - 160*o = 0.
-2, 0, 1, 4
Factor t**2/4 + 13*t/4 - 99/2.
(t - 9)*(t + 22)/4
What is v in -6*v**3 - 63*v**2/2 + 777*v/2 + 99 = 0?
-11, -1/4, 6
Suppose 3*j**4 - 87*j**3 + 81*j**2 + 87*j - 84 = 0. What is j?
-1, 1, 28
Factor 4*q**4 - 3932*q**3 + 968252*q**2 - 964324*q.
4*q*(q - 491)**2*(q - 1)
Find t such that -2*t**4/7 - 48*t**3 - 666*t**2/7 - 332*t/7 = 0.
-166, -1, 0
Suppose 2*x**3/9 - 4*x**2 + 192 = 0. Calculate x.
-6, 12
What is l in 4*l**4/7 + 624*l**3/7 + 1836*l**2/7 - 16*l/7 - 2448/7 = 0?
-153, -2, 1
Solve 3*f**2/2 + 15*f/2 - 9 = 0 for f.
-6, 1
Factor -182*z**4/9 + 178*z**3/9 + 4*z**2/9.
-2*z**2*(z - 1)*(91*z + 2)/9
Determine j, given that -2*j**5/3 - 392*j**4/3 + 2*j**3 + 1180*j**2/3 + 784*j/3 = 0.
-196, -1, 0, 2
Let 4*x**5 + 84*x**4 + 420*x**3 - 260*x**2 - 1464*x - 864 = 0. What is x?
-12, -9, -1, 2
Factor l**5/4 - 3*l**4/4 - 7*l**3/4 + 7*l**2/4 + 9*l/2 + 2.
(l - 4)*(l - 2)*(l + 1)**3/4
Let 9*c**2 - 52*c - 12 = 0. What is c?
-2/9, 6
Suppose -c**5/2 + 17*c**4/2 - 63*c**3/2 - 81*c**2/2 = 0. Calculate c.
-1, 0, 9
Suppose -14*d**3/13 + 66*d**2/13 + 356*d/13 + 96/13 = 0. Calculate d.
-3, -2/7, 8
Determine k, given that 2*k**4/9 - 16448*k**3/9 + 33817088*k**2/9 = 0.
0, 4112
Solve -3*o**4 + 54*o**2 - 96*o + 45 = 0.
-5, 1, 3
Solve -2*i**2 + 6056*i - 4584392 = 0.
1514
Determine b so that b**4/5 + 19*b**3/5 + 88*b**2/5 = 0.
-11, -8, 0
Factor -l**4/3 + 22*l**3 - 191*l**2/3 + 42*l.
-l*(l - 63)*(l - 2)*(l - 1)/3
Factor 2*g**4 - 18*g**3 - 68*g**2 - 48*g.
2*g*(g - 12)*(g + 1)*(g + 2)
Determine u so that -2*u**5/5 + 106*u**4/5 - 204*u**3/5 - 4*u**2/5 + 206*u/5 - 102/5 = 0.
-1, 1, 51
Solve -12*u**5/5 - 1952*u**4/5 - 85644*u**3/5 - 511128*u**2/5 - 960336*u/5 - 438048/5 = 0.
-78, -3, -2/3
Factor -3*w**2/2 + 35*w/4 + 3/2.
-(w - 6)*(6*w + 1)/4
Factor 28*z**2 + 93*z + 27.
(z + 3)*(28*z + 9)
Suppose -3*z**2/5 + 156*z/5 - 2028/5 = 0. Calculate z.
26
Factor s**5/6 + 2*s**4/3 + s**3/3 - 2*s**2/3 - s/2.
s*(s - 1)*(s + 1)**2*(s + 3)/6
Find j such that -3*j**2 - 4404*j - 1616268 = 0.
-734
Factor -31*j**3 + 1115*j**2 - 10008*j - 324.
-(j - 18)**2*(31*j + 1)
Factor -16384*p**3 + 9216*p**2 - 1728*p + 108.
-4*(16*p - 3)**3
Solve 2*h**3 - 28*h**2 - 62*h - 32 = 0 for h.
-1, 16
Factor -2*l**4 - 6*l**3 + 12*l**2 + 16*l.
-2*l*(l - 2)*(l + 1)*(l + 4)
Factor -2*f**2/3 + 21212*f/3 - 56243618/3.
-2*(f - 5303)**2/3
Solve -216*i**4/7 - 66*i**3 - 26*i**2/7 + 32*i/3 + 40/21 = 0.
-2, -1/3, -2/9, 5/12
Factor 200*w**3 + 1716*w**2 + 936*w + 64.
4*(w + 8)*(2*w + 1)*(25*w + 2)
Let 4*p**3/3 - 128*p**2 + 380*p/3 = 0. Calculate p.
0, 1, 95
Solve -3*k**5/2 + 3*k**4/2 + 18*k**3 - 42*k**2 + 24*k = 0 for k.
-4, 0, 1, 2
Suppose -3*r**5 + 57*r**4 + 771*r**3 + 2739*r**2 + 3768*r + 1740 = 0. Calculate r.
-5, -2, -1, 29
Factor 4*l**2 + 440*l + 864.
4*(l + 2)*(l + 108)
Factor -x**5/3 + 2*x**4/3 - 2*x**2/3 + x/3.
-x*(x - 1)**3*(x + 1)/3
Determine c, given that 55*c**4 - 155*c**3 - 250*c**2 - 40*c = 0.
-1, -2/11, 0, 4
Factor -2*z**2/11 + 28*z/11 + 30/11.
-2*(z - 15)*(z + 1)/11
Factor -2*i**2/7 + 396*i/7 - 19602/7.
-2*(i - 99)**2/7
Factor 3*x**2/2 - 60*x + 1053/2.
3*(x - 27)*(x - 13)/2
Factor 4*d**2 - 1684*d.
4*d*(d - 421)
Factor 3*o**3/5 - 258*o**2/5 - 219*o + 270.
3*(o - 90)*(o - 1)*(o + 5)/5
Factor -2*w**4/9 - 8*w**3/9 + 8*w**2/9 + 32*w/9.
-2*w*(w - 2)*(w + 2)*(w + 4)/9
Factor u**3 - 355*u**2 - 1078*u + 1432.
(u - 358)*(u - 1)*(u + 4)
Suppose t**3/4 - t**2 - 37*t/4 + 10 = 0. Calculate t.
-5, 1, 8
Solve q**3/3 - 56*q**2/3 - 59*q = 0 for q.
-3, 0, 59
Let s**3/6 + s**2/3 - s/2 = 0. Calculate s.
-3, 0, 1
Factor -4*f**4 - 12*f**3 + 64*f**2 - 48*f.
-4*f*(f - 2)*(f - 1)*(f + 6)
Factor -d**4/3 + 17*d**3/3 - 4*d**2 - 276*d + 1008.
-(d - 12)*(d - 6)**2*(d + 7)/3
Factor q**3 - 204*q**2 + 203*q.
q*(q - 203)*(q - 1)
Factor l**2 - 706*l - 707.
(l - 707)*(l + 1)
Find z, given that -15*z**3/2 + 57*z**2/2 - 33*z/2 - 9/2 = 0.
-1/5, 1, 3
Factor 2*b**2/3 - 128*b/3 + 2048/3.
2*(b - 32)**2/3
Determine x, given that 4*x**2/7 + 436*x/7 + 240 = 0.
-105, -4
Factor -2*m**4/7 + 2*m**3/7 + 2*m**2/7 - 2*m/7.
-2*m*(m - 1)**2*(m + 1)/7
Determine v, given that 2*v**3/13 - 24*v**2/13 - 242*v/13 - 456/13 = 0.
-4, -3, 19
Determine k so that 15*k**3/4 - 3*k**2/2 - 15*k + 6 = 0.
-2, 2/5, 2
Let 4*j**5 + 108*j**4 + 1032*j**3 + 3896*j**2 + 3060*j - 8100 = 0. What is j?
-9, -5, 1
What is t in 1805*t**3 + 3040*t**2 - 1095*t + 90 = 0?
-2, 3/19
Suppose 2*d**2 + 15*d + 18 = 0. What is d?
-6, -3/2
Factor a**3/2 - 241*a**2/2.
a**2*(a - 241)/2
Suppose 2*v**2/5 - 4*v/5 - 16/5 = 0. Calculate v.
-2, 4
Find i, given that -4*i**2/3 + 184*i - 548/3 = 0.
1, 137
Solve h**2 + 5*h - 6 = 0 for h.
-6, 1
What is n in 5*n**3 + 285*n**2 = 0?
-57, 0
Find h such that -2*h**4/5 - 42*h**3/5 - 8*h**2 = 0.
-20, -1, 0
Let -i**3 + 420*i**2 - 43677*i - 89042 = 0. What is i?
-2, 211
Solve w**5 - 28*w**4 + 262*w**3 - 924*w**2 + 1089*w = 0 for w.
0, 3, 11
Let -3*d**2 - 36*d = 0. Calculate d.
-12, 0
Determine t, given that -3*t**3 - 186*t**2 + 1449*t = 0.
-69, 0, 7
Find a, given that -9*a**4/2 - 8646*a**3 - 4150079*a**2 + 2769602*a - 923521/2 = 0.
-961, 1/3
Solve -2*l**5 + 54*l**4 + 60*l**3 - 112*l**2 = 0 for l.
-2, 0, 1, 28
Factor 9*r**2 - 15*r - 6.
3*(r - 2)*(3*r + 1)
Factor 7*u**3/4 - 3*u**2 + 3*u/4 + 1/2.
(u - 1)**2*(7*u + 2)/4
What is s in 4*s**3/5 + 4*s**2 - 128*s/5 + 144/5 = 0?
-9, 2
Let 2*z**3/15 + 24*z**2/5 - 2*z/15 - 24/5 = 0. Calculate z.
-36, -1, 1
Factor -k**2 + 1169*k - 2334.
-(k - 1167)*(k - 2)
Factor -2*q**3 - 1530*q**2 + 3066*q - 1534.
-2*(q - 1)**2*(q + 767)
Find y such that -y**2/2 + 3*y - 9/2 = 0.
3
Let 2*g**3/13 - 1140*g**2/13 + 216600*g/13 - 13718000/13 = 0. What is g?
190
Solve d**4 - 16*d**3 - 132*d**2 = 0.
-6, 0, 22
Determine p, given that -p**3 - 59*p**2 - 778*p - 720 = 0.
-40, -18, -1
Factor -5*v**2 - 45*v - 90.
-5*(v + 3)*(v + 6)
Determine t, given that 38*t**2/7 + 50*t/7 + 12/7 = 0.
-1, -6/19
Let 8*p**5 - 73*p**4 - 159*p**3 - 67*p**2 + 11*p = 0. What is p?
-1, 0, 1/8, 11
Factor -2*l**2/3 - 530*l/9 + 356/9.
-2*(l + 89)*(3*l - 2)/9
Let -2*t**5 + 82*t**4 + 654*t**3 + 918*t**2 - 2484*t - 5184 = 0. Calculate t.
-3, 2, 48
Factor -z**2/5 - 31*z/5.
-z*(z + 31)/5
Find b such that -15*b**3 - 33*b**2 + 39*b + 9 = 0.
-3, -1/5, 1
Let -3*k**5/2 - 3*k**4 + 81*k**3/2 + 156*k**2 + 186*k + 72 = 0. What is k?
-4, -2, -1, 6
What is t in 40*t**4 - 154*t**3 - 58*t**2 + 124*t + 48 = 0?
-3/4, -2/5, 1, 4
Let -2*x**5/7 + 12*x**4/7 + 6*x**3/7 - 16*x**2 + 96*x/7 = 0. What is x?
-3, 0, 1, 4
Factor -2*d**4/9 + 164*d**3/9 - 384*d**2 + 3132*d - 8910.
-2*(d - 55)*(d - 9)**3/9
Factor 4*r**2 + 80*r + 204.
4*(r + 3)*(r + 17)
Factor x**3/3 + 111*x**2 + 548*x + 1312/3.
(x + 1)*(x + 4)*(x + 328)/3
Solve 25*q**3/4 + 65*q**2/4 + 14*q + 4 = 0.
-1, -4/5
Factor 12*c**3 - 56*c**2 + 28*c + 16.
4*(c - 4)*(c - 1)*(3*c + 1)
Factor -i**2/2 + 59*i/2 + 30.
-(i - 60)*(i + 1)/2
