47*r - 2166.
-3*(r - 19)**2*(25*r + 2)
Let -3*r**4/5 + 82*r**3/5 - 231*r**2/5 - 44*r + 96/5 = 0. Calculate r.
-1, 1/3, 4, 24
Solve -5*o**3 + 415*o**2 - 5075*o + 16905 = 0.
7, 69
Suppose -z**5/2 + 7*z**4/2 + 9*z**3 = 0. Calculate z.
-2, 0, 9
Let -l**3 + 31*l**2 - 134*l + 104 = 0. What is l?
1, 4, 26
Factor -3*c**4/4 - 21*c**3/4 + 45*c**2/2.
-3*c**2*(c - 3)*(c + 10)/4
Find b such that -2*b**3/17 + 90*b**2/17 + 186*b/17 + 94/17 = 0.
-1, 47
Let -68*r**4 + 104*r**3 + 32*r**2 - 104*r + 36 = 0. Calculate r.
-1, 9/17, 1
Factor 5*k**2/6 - 61*k/2 + 173/3.
(k - 2)*(5*k - 173)/6
Factor 3*p**3/4 - 57*p**2/2 + 105*p/4 + 111/2.
3*(p - 37)*(p - 2)*(p + 1)/4
Let -9*q**4/2 + 375*q**3/2 - 123*q**2 = 0. What is q?
0, 2/3, 41
Find o, given that -3*o**3 - 138*o**2 - 1092*o + 12168 = 0.
-26, 6
Find x such that -5*x**5 + 167*x**4/3 + 578*x**3/3 + 340*x**2/3 - 56*x/3 = 0.
-2, -1, 0, 2/15, 14
Determine t, given that 2*t**3/5 + 14*t**2/5 + 22*t/5 + 2 = 0.
-5, -1
Factor -l**5/5 - 2146*l**4/5 - 1142713*l**3/5 + 9244968*l**2/5 - 18558864*l/5.
-l*(l - 4)**2*(l + 1077)**2/5
Suppose -45*x**5/2 - 237*x**4/2 + 186*x**3 + 456*x**2 - 384*x + 72 = 0. Calculate x.
-6, -2, 1/3, 2/5, 2
Factor 3*a**5 - 12*a**4 - 15*a**3.
3*a**3*(a - 5)*(a + 1)
Determine g so that -5*g**4 - 25*g**3 - 20*g**2 = 0.
-4, -1, 0
Suppose -2*k**2 - 578*k + 3540 = 0. What is k?
-295, 6
What is t in 5*t**2/8 + 51*t/4 - 22 = 0?
-22, 8/5
Find j, given that 2*j**5/13 - 30*j**3/13 + 20*j**2/13 + 120*j/13 - 144/13 = 0.
-3, 2
Factor -3*s**2/7 + 1017*s/7 + 1020/7.
-3*(s - 340)*(s + 1)/7
Determine y so that 3*y**3 + 4380*y**2 - 4383*y = 0.
-1461, 0, 1
Factor 3*m**3 - 12*m**2 + 3*m + 18.
3*(m - 3)*(m - 2)*(m + 1)
Factor 5*m**3 - 2080*m**2 - 2085*m.
5*m*(m - 417)*(m + 1)
What is j in 5*j**3/2 + 1170*j**2 + 2335*j/2 = 0?
-467, -1, 0
Factor -l**2/6 + 3446*l/3 - 5937458/3.
-(l - 3446)**2/6
Factor 15*n**2 + 42*n - 72.
3*(n + 4)*(5*n - 6)
Factor 52*g**4/5 + 44*g**3/5 - 96*g**2/5.
4*g**2*(g - 1)*(13*g + 24)/5
Let -p**5 - 19*p**4 + 20*p**3 = 0. What is p?
-20, 0, 1
Solve 2*c**5/9 - 8*c**4/3 + 80*c**3/9 - 20*c**2/3 - 82*c/9 + 28/3 = 0.
-1, 1, 2, 3, 7
Determine w, given that 729*w**2 + 27*w + 1/4 = 0.
-1/54
Find x, given that -20*x**5 - 152*x**4 - 196*x**3 - 16*x**2 + 48*x = 0.
-6, -1, 0, 2/5
Solve 2*y**4/15 - 34*y**3/15 + 122*y**2/15 + 78*y/5 - 108/5 = 0 for y.
-2, 1, 9
Factor -v**2/8 - 261*v - 136242.
-(v + 1044)**2/8
Factor 26*l**3/7 + 80*l**2/7 - 34*l + 132/7.
2*(l - 1)**2*(13*l + 66)/7
Suppose w**3/4 - 3*w**2 + 39*w/4 - 7 = 0. Calculate w.
1, 4, 7
Determine l so that 29*l**3/8 + 89*l**2/8 - 55*l/4 - 1 = 0.
-4, -2/29, 1
Find g such that -g**2 + 147*g - 290 = 0.
2, 145
Factor -z**3/8 + 6*z - 16.
-(z - 4)**2*(z + 8)/8
Factor -w**2/2 + 1302*w - 847602.
-(w - 1302)**2/2
Factor -5*p**4 + 5850*p**3 - 2275620*p**2 + 292002710*p + 896647065.
-5*(p - 391)**3*(p + 3)
Determine j, given that 3*j**4 - 39*j**3/4 - 147*j**2/4 + 219*j/4 - 45/4 = 0.
-3, 1/4, 1, 5
Factor -c**4 - 86*c**3 + 88*c**2 + 86*c - 87.
-(c - 1)**2*(c + 1)*(c + 87)
Let -3*h**3/4 + 57*h**2/4 + 33*h/2 - 30 = 0. Calculate h.
-2, 1, 20
Let 15*a**5 - 84*a**4 - 141*a**3 - 42*a**2 = 0. What is a?
-1, -2/5, 0, 7
Suppose -4*p**2 + 5520*p - 1904400 = 0. Calculate p.
690
Determine b so that -8*b**3/9 - 32*b**2/3 - 42*b - 54 = 0.
-9/2, -3
What is p in -552*p**5 - 1244*p**4 - 932*p**3 - 256*p**2 - 16*p = 0?
-1, -2/3, -1/2, -2/23, 0
Let 2*a**5/3 + 574*a**4/3 + 380*a**3 = 0. Calculate a.
-285, -2, 0
Let -4*x**3 - 32*x**2 - 68*x - 40 = 0. What is x?
-5, -2, -1
Find o, given that -5*o**2 - 1700*o - 144500 = 0.
-170
Factor -6*r**3/11 - 42*r**2/11 - 36*r/11.
-6*r*(r + 1)*(r + 6)/11
Factor -3*a**4 + 18*a**3 - 12*a**2 - 72*a + 96.
-3*(a - 4)*(a - 2)**2*(a + 2)
Factor 2*l**3 - 24*l**2 + 58*l - 36.
2*(l - 9)*(l - 2)*(l - 1)
Suppose 4*d**3 + 52*d**2 + 200*d + 224 = 0. What is d?
-7, -4, -2
Solve 3*b**2 - 423*b = 0 for b.
0, 141
Factor l**5/7 + l**4/7 - 12*l**3/7 + 4*l**2/7 + 16*l/7.
l*(l - 2)**2*(l + 1)*(l + 4)/7
Suppose 2*z**2 + 2*z - 4 = 0. Calculate z.
-2, 1
Factor -2*a**4 - 14*a**3 + 1104*a**2 - 10880*a + 31744.
-2*(a - 8)**3*(a + 31)
Find v such that -2*v**2/11 + 48*v/11 + 104/11 = 0.
-2, 26
Factor n**2 + 29*n.
n*(n + 29)
Let 3*s**2 + 120*s + 117 = 0. Calculate s.
-39, -1
Determine p, given that 5*p**5 - 30*p**4 - 100*p**3 + 450*p**2 + 95*p - 420 = 0.
-4, -1, 1, 3, 7
Factor -2*w**3/7 - 8*w**2/7 - 10*w/7 - 4/7.
-2*(w + 1)**2*(w + 2)/7
Factor 4*l**2 - 548*l - 552.
4*(l - 138)*(l + 1)
Determine f, given that 3*f**5/5 - 39*f**4/5 - 93*f**3/5 + 39*f**2/5 + 18*f = 0.
-2, -1, 0, 1, 15
Suppose 3*v**2 - 66*v + 171 = 0. Calculate v.
3, 19
Factor -n**2/3 - 44*n/3 + 92/3.
-(n - 2)*(n + 46)/3
Let -5*q**4 - 10*q**3 + 35*q**2 + 40*q - 60 = 0. What is q?
-3, -2, 1, 2
Solve -120125*d**3 + 3967225*d**2 - 102320*d + 660 = 0 for d.
2/155, 33
Factor -4*b**2 - 3156*b + 3160.
-4*(b - 1)*(b + 790)
Determine f, given that -5*f**5 + 20*f**4 + 75*f**3 - 90*f**2 = 0.
-3, 0, 1, 6
What is m in 8*m**4/7 + 10*m**3/7 - 12*m**2/7 = 0?
-2, 0, 3/4
Suppose 2*z**3/5 - 4*z**2/5 - 14*z/5 - 8/5 = 0. Calculate z.
-1, 4
Factor -w**4 - 6*w**3 + 99*w**2 + 324*w - 2916.
-(w - 6)**2*(w + 9)**2
Factor -11*j**5 - 246*j**4 - 1419*j**3 - 484*j**2.
-j**2*(j + 11)**2*(11*j + 4)
Factor 4*m**4 - 8*m**3 - 64*m**2 + 128*m.
4*m*(m - 4)*(m - 2)*(m + 4)
Find q such that 4*q**4 - 24*q**3 + 16*q**2 + 24*q - 20 = 0.
-1, 1, 5
Factor 4*z**3 + 260*z**2.
4*z**2*(z + 65)
Determine m, given that -4*m**2 - 68*m + 152 = 0.
-19, 2
Find g, given that -5*g**2 + 110*g + 675 = 0.
-5, 27
Factor -2*g**2/5 + 18/5.
-2*(g - 3)*(g + 3)/5
Suppose -d**4 - 2574*d**3/7 + 3319*d**2/7 - 738*d/7 = 0. What is d?
-369, 0, 2/7, 1
Find s such that -3*s**2 + 12*s - 12 = 0.
2
Determine q so that -3*q**5/4 + 40*q**4 + 153*q**3 + 423*q**2/2 + 511*q/4 + 57/2 = 0.
-1, -2/3, 57
Determine i, given that -i**2 - 19*i - 18 = 0.
-18, -1
Determine k, given that -183*k**5 + 192*k**4 - 9*k**3 = 0.
0, 3/61, 1
What is b in -4*b**5 - 8*b**4 + 60*b**3 = 0?
-5, 0, 3
Find j such that 10*j**5/11 - 54*j**4/11 + 20*j**3/11 + 200*j**2/11 - 240*j/11 + 64/11 = 0.
-2, 2/5, 1, 2, 4
Solve -12*q**4 + 248*q**3 - 1168*q**2 + 672*q = 0 for q.
0, 2/3, 6, 14
Solve -5*p**2 - 140*p + 145 = 0 for p.
-29, 1
Solve -d**5/3 - 17*d**4/3 + d**3 + 53*d**2/3 + 34*d/3 = 0.
-17, -1, 0, 2
What is c in 6*c**3/5 + 32*c**2/5 + 6*c/5 - 4 = 0?
-5, -1, 2/3
Factor -2*o**4 - 22*o**3 - 20*o**2.
-2*o**2*(o + 1)*(o + 10)
Find m such that -5*m**2 + 890*m - 39605 = 0.
89
Factor c**5 - 2*c**4 - 6*c**3 + 4*c**2 + 13*c + 6.
(c - 3)*(c - 2)*(c + 1)**3
Determine s, given that s**5 + 106*s**4/5 + 291*s**3/5 + 34*s**2/5 - 364*s/5 - 72/5 = 0.
-18, -2, -1/5, 1
Let z**5/10 - z**4/5 - 28*z**3/5 + 17*z**2 - 169*z/10 + 28/5 = 0. What is z?
-8, 1, 7
Let -j**4 - 2*j**3 + 67*j**2 - 124*j + 60 = 0. What is j?
-10, 1, 6
Solve 2*h**2/11 + 344*h/11 + 342/11 = 0.
-171, -1
Factor -2*k**2/9 - 52*k/9.
-2*k*(k + 26)/9
Suppose -2*x**3/13 - 152*x**2/13 + 470*x/13 - 316/13 = 0. What is x?
-79, 1, 2
Factor -h**3 + 91*h**2 + h - 91.
-(h - 91)*(h - 1)*(h + 1)
Factor -q**4/2 + q**3/2 + 9*q**2/2 + 11*q/2 + 2.
-(q - 4)*(q + 1)**3/2
Factor -3*d**4 - 174*d**3 - 633*d**2 + 810*d.
-3*d*(d - 1)*(d + 5)*(d + 54)
Factor -2*x**3/17 + 182*x/17 + 180/17.
-2*(x - 10)*(x + 1)*(x + 9)/17
Factor 9*f**3 + 60*f**2 + 117*f + 66.
3*(f + 1)*(f + 2)*(3*f + 11)
Find i, given that 4*i**5 + 88*i**4 + 540*i**3 + 376*i**2 - 2480*i - 2400 = 0.
-10, -3, -1, 2
What is v in -2*v**2/5 + 138*v/5 - 136/5 = 0?
1, 68
Factor -2*a**3/3 + 520*a**2/3.
-2*a**2*(a - 260)/3
Find o, given that -3*o**2 - 114*o - 111 = 0.
-37, -1
Factor -21*q**2 - 27*q + 48.
-3*(q - 1)*(7*q + 16)
Factor 2*w**2 + 18*w + 28.
2*(w + 2)*(w + 7)
Suppose -u**2 + 19*u - 60 = 0. Calculate u.
4, 15
Factor 3*f**2 + 4308*f + 1546572.
3*(f + 718)**2
Find h such that h**3/9 + h**2/9 - 2*h/9 = 0.
-2, 0, 1
Factor 4*x**4 - 584*x**3 + 21312*x**2 + 584*x - 21316.
4*(x - 73)**2*(x - 1)*(x + 1)
Determine m so that -2*m**4 - 2*m**3 + 10*m**2 - 6*m = 0.
-3, 0, 1
Suppose k**2/2 + 83*k/2 - 465 = 0. What is k?
-93, 10
Solve t**5/5 - 3*t**4 - 2*t**3/5 + 6*t**2 + t/5 - 3 = 0.
-1, 1, 15
Let -8*j**5/5 + 22*j**4/5 + 62*j**3/5 - 106*j**2/5 - 174*j/5 - 36/5 = 0. What is j?
-2, -1, -1/4, 3
Factor -3*u**3/4 + 3*u**2/2 + 111*u + 210.
-3*(u - 14)*(u + 2)*(u + 10)/4
