*(h + 8)/11
Factor -3*b**2/7 + 5508*b/7 - 2528172/7.
-3*(b - 918)**2/7
Determine o so that 2*o**4/11 + 16*o**3/11 + 32*o**2/11 = 0.
-4, 0
Factor -j**2/4 - 775*j/2 - 774.
-(j + 2)*(j + 1548)/4
Determine d so that d**2 + 178*d + 352 = 0.
-176, -2
Determine b, given that -b**3/6 + 17*b**2/3 - 95*b/6 + 31/3 = 0.
1, 2, 31
Determine n so that n**3/9 - n/9 = 0.
-1, 0, 1
Solve b**4/2 + 5*b**3/2 - 6*b**2 - 18*b = 0.
-6, -2, 0, 3
Suppose -75*l**5/8 - 2295*l**4/4 + 18333*l**3/8 - 3111*l**2/2 + 585*l/2 = 0. Calculate l.
-65, 0, 2/5, 3
Factor 3*f**4/2 - 363*f**2/2.
3*f**2*(f - 11)*(f + 11)/2
Determine a so that a**3 - 175*a**2/4 + 297*a/4 - 63/2 = 0.
3/4, 1, 42
What is p in p**2 - 12*p - 540 = 0?
-18, 30
Find l such that -l**2 - 277*l + 278 = 0.
-278, 1
Determine i so that 2*i**2/3 - 214*i/3 - 72 = 0.
-1, 108
Find a, given that a**5/9 + 25*a**4/9 + 38*a**3/9 - 202*a**2/9 - 47*a - 23 = 0.
-23, -3, -1, 3
Let 5*x**4 + 10*x**3 - 20*x**2 - 10*x + 15 = 0. Calculate x.
-3, -1, 1
Factor 3*b**4 - 120*b**3 - 516*b**2 - 528*b.
3*b*(b - 44)*(b + 2)**2
Suppose -b**2/5 + 6*b/5 - 9/5 = 0. Calculate b.
3
Find s such that -s**3/4 - 15*s**2/4 + 18*s - 19 = 0.
-19, 2
Let 5*h**2 + 20*h - 225 = 0. What is h?
-9, 5
Suppose 3*i**4 - 126*i**3 - 996*i**2 - 1602*i - 735 = 0. What is i?
-5, -1, 49
Factor 2*f**3 + 20*f**2 - 106*f + 84.
2*(f - 3)*(f - 1)*(f + 14)
Factor -2*m**2 - 260*m.
-2*m*(m + 130)
Find i, given that -i**4/3 + 5*i**3/3 - 7*i**2/3 + i = 0.
0, 1, 3
Factor -l**2 + 14*l + 15.
-(l - 15)*(l + 1)
Factor -5*q**4 + 30*q**3 - 55*q**2 + 30*q.
-5*q*(q - 3)*(q - 2)*(q - 1)
Determine j, given that 3*j**5/2 - 117*j**4/2 + 909*j**3/2 - 951*j**2/2 - 2556*j - 1566 = 0.
-1, 6, 29
Factor a**2/9 - 10*a/9 + 7/3.
(a - 7)*(a - 3)/9
Solve -o**4 + 19*o**3 + 3*o**2 - 55*o - 38 = 0.
-1, 2, 19
Factor 1562500*y**3 - 37500*y**2 + 300*y - 4/5.
4*(125*y - 1)**3/5
Let -2*t**3/3 + 16*t**2/3 - 22*t/3 - 40/3 = 0. Calculate t.
-1, 4, 5
Factor 2*b**2 - 60*b + 112.
2*(b - 28)*(b - 2)
Factor -2*f**4 - 30*f**3 + 1000*f.
-2*f*(f - 5)*(f + 10)**2
Find x such that -9*x**3 + 93*x**2 - 24*x - 60 = 0.
-2/3, 1, 10
Factor -u**2/3 - 55*u/3 - 18.
-(u + 1)*(u + 54)/3
What is q in 2*q**3 - 24*q**2 + 10*q + 132 = 0?
-2, 3, 11
Factor -4*l**2 + 4288*l - 4284.
-4*(l - 1071)*(l - 1)
Factor -j**2 - 124*j - 3844.
-(j + 62)**2
Factor -2*n**2/7 - 184*n/7 - 4232/7.
-2*(n + 46)**2/7
Factor -y**4/4 + 11*y**3/4 - 19*y**2/4 + 9*y/4.
-y*(y - 9)*(y - 1)**2/4
Factor c**2/2 - 147*c/2 + 423.
(c - 141)*(c - 6)/2
Determine k so that 2*k**3 - 40*k**2 + 256*k - 512 = 0.
4, 8
Determine l so that -20*l**5 + 115*l**4 - 50*l**3 - 500*l**2 + 520*l + 160 = 0.
-2, -1/4, 2, 4
Determine n so that 10*n**5 - 33*n**4/2 - 5*n**3/2 + 31*n**2/2 - 15*n/2 + 1 = 0.
-1, 1/4, 2/5, 1
Solve 45*c**5/4 - 41*c**4/2 - 65*c**3/4 + 45*c**2/2 + 5*c - 2 = 0 for c.
-1, -2/5, 2/9, 1, 2
Factor -x**4 + 5*x**3 - 8*x**2 + 4*x.
-x*(x - 2)**2*(x - 1)
Factor 2*a**4 + 24*a**3 + 58*a**2 + 36*a.
2*a*(a + 1)*(a + 2)*(a + 9)
Suppose 2*p**2/7 - 10*p + 608/7 = 0. What is p?
16, 19
Determine s so that -2*s**4 + 30*s**3 + 2*s**2 - 30*s = 0.
-1, 0, 1, 15
Factor 3*n**4 + 27*n**3 + 87*n**2 + 117*n + 54.
3*(n + 1)*(n + 2)*(n + 3)**2
Factor -5*y**4 - 50*y**3 - 65*y**2 + 300*y - 180.
-5*(y - 1)**2*(y + 6)**2
Let -3*s**2 + 15*s + 42 = 0. Calculate s.
-2, 7
Find d such that 7*d**5/4 - 13*d**4/4 - 45*d**3/4 + 25*d**2/4 + 49*d/2 + 12 = 0.
-8/7, -1, 2, 3
Factor -20*h**3 - 372*h**2 - 556*h - 204.
-4*(h + 1)*(h + 17)*(5*h + 3)
Factor 4*b**2 + 384*b + 9216.
4*(b + 48)**2
Factor -5*h**4 - 35*h**3 - 20*h**2 + 60*h.
-5*h*(h - 1)*(h + 2)*(h + 6)
Factor -q**5 + 35*q**4 + 36*q**3.
-q**3*(q - 36)*(q + 1)
Suppose 4*s**3 - 7956*s**2 = 0. Calculate s.
0, 1989
Find w such that -28*w**5 + 216*w**4 - 540*w**3 + 432*w**2 = 0.
0, 12/7, 3
Solve 3*d**3 - 36*d**2 - 129*d - 90 = 0 for d.
-2, -1, 15
Determine q so that q**2/2 - 24*q + 47/2 = 0.
1, 47
Solve -5*y**2 + 44310*y - 98168805 = 0 for y.
4431
Factor 3*o**4 + 138*o**3 - 432*o**2 + 438*o - 147.
3*(o - 1)**3*(o + 49)
Let -2*j**3 - 14*j**2 + 288*j = 0. Calculate j.
-16, 0, 9
Let 28*w**5 - 568*w**4 + 1056*w**3 + 1984*w**2 - 4672*w + 1152 = 0. Calculate w.
-2, 2/7, 2, 18
Factor 356*n**2 + 368*n + 12.
4*(n + 1)*(89*n + 3)
Determine z, given that -z**2 + 9*z = 0.
0, 9
Determine q so that 3*q**2 + 84*q = 0.
-28, 0
Find z such that -3*z**4 + 22*z**3 + 1243*z**2 + 2018*z + 800 = 0.
-16, -1, -2/3, 25
Let f**5/2 + 15*f**4/2 - 33*f**3/2 + 17*f**2/2 = 0. What is f?
-17, 0, 1
Determine z so that 3*z**2 - 15549*z + 15546 = 0.
1, 5182
Factor -128*m**3/3 - 4960*m**2/3 + 1246*m/3 - 26.
-2*(m + 39)*(8*m - 1)**2/3
Factor 4232*t**2 - 552*t + 18.
2*(46*t - 3)**2
Let -t**2/4 - 12*t - 23 = 0. Calculate t.
-46, -2
Factor 3*l**3 - 48*l**2 + 180*l.
3*l*(l - 10)*(l - 6)
Find b such that -2*b**2/3 + 86*b/3 = 0.
0, 43
What is m in 231*m**5 - 1278*m**4 + 1443*m**3 + 900*m**2 + 108*m = 0?
-2/7, -2/11, 0, 3
Determine i, given that -4*i**2 - 432*i - 848 = 0.
-106, -2
Factor 3*r**2/4 + 1065*r/4 + 1053.
3*(r + 4)*(r + 351)/4
Suppose 204*n**4/7 + 620*n**3/7 - 1812*n**2/7 - 5580*n/7 - 216/7 = 0. What is n?
-3, -2/51, 3
Factor -3*q**5 + 21*q**4 + 51*q**3 + 27*q**2.
-3*q**2*(q - 9)*(q + 1)**2
Suppose -2*z**3 + 2*z**2 + 44*z - 80 = 0. Calculate z.
-5, 2, 4
Solve -y**2/4 - 203*y/2 - 41209/4 = 0 for y.
-203
Factor -4*d**3 + 6972*d**2.
-4*d**2*(d - 1743)
Factor 5*q**2 + 5*q - 100.
5*(q - 4)*(q + 5)
Find b such that -5*b**3 + 105*b + 100 = 0.
-4, -1, 5
Determine q, given that -9*q**4/7 + 2067*q**3/7 - 3414*q**2/7 - 1368*q/7 = 0.
-1/3, 0, 2, 228
What is f in 4*f**3/7 + 32*f**2/7 + 60*f/7 = 0?
-5, -3, 0
Find q such that -8*q**4 + 142*q**3 - 828*q**2 + 1512*q + 432 = 0.
-1/4, 6
Factor 3*u**2 + 66*u + 63.
3*(u + 1)*(u + 21)
Factor 2*a**3 - 52*a**2 - 670*a - 1800.
2*(a - 36)*(a + 5)**2
Determine k so that -2*k**4 - 308*k**3 - 10890*k**2 + 75200*k - 64000 = 0.
-80, 1, 5
What is m in 2*m**3 - 36*m**2 + 34*m = 0?
0, 1, 17
Solve -2*z**2/5 + 1638*z/5 - 1636/5 = 0 for z.
1, 818
What is r in 2*r**5/17 - 6*r**4/17 + 4*r**3/17 + 4*r**2/17 - 6*r/17 + 2/17 = 0?
-1, 1
Factor -3*s**2/5 + 123*s/5 + 126/5.
-3*(s - 42)*(s + 1)/5
Find i, given that 2*i**4/11 + 18*i**3/11 - 30*i**2/11 - 106*i/11 - 60/11 = 0.
-10, -1, 3
Find g, given that -3*g**4 - 3*g**3 + 6*g**2 = 0.
-2, 0, 1
Factor -18*c**3 - 4*c**2 + 18*c + 4.
-2*(c - 1)*(c + 1)*(9*c + 2)
Determine m, given that 2*m**4/11 + 16*m**3/11 - 2*m**2/11 - 136*m/11 - 168/11 = 0.
-7, -2, 3
Factor -4*l**5 + 2*l**4.
-2*l**4*(2*l - 1)
Suppose s**3/9 + 745*s**2/9 + 2228*s/9 + 1484/9 = 0. Calculate s.
-742, -2, -1
Determine b, given that 4*b**4 + 192*b**3 + 2964*b**2 + 14440*b = 0.
-19, -10, 0
Suppose -4*c**3/9 + 5092*c**2/9 - 10172*c/9 + 5084/9 = 0. Calculate c.
1, 1271
Find p such that 15*p**3 - 110*p**2 - 85*p + 40 = 0.
-1, 1/3, 8
Let 24*v**4 - 64*v**3 - 47*v**2/2 - 3*v/2 = 0. Calculate v.
-1/4, -1/12, 0, 3
Let -20*z**5/3 - 64*z**4/3 + 4*z**3/3 + 128*z**2/3 + 16*z/3 - 64/3 = 0. What is z?
-2, -1, 4/5, 1
Solve -4*o**2/5 - 776*o/5 - 772/5 = 0.
-193, -1
Solve -2*z**3 - 44*z**2 - 192*z + 576 = 0 for z.
-12, 2
Find l, given that l**2/2 - 2*l + 2 = 0.
2
Determine l so that -2*l**2 - 570*l + 572 = 0.
-286, 1
Factor -3*i**4 - 45*i**3 - 222*i**2 - 396*i - 216.
-3*(i + 1)*(i + 2)*(i + 6)**2
Find n, given that 3*n**4 - 18*n**3 + 66*n + 45 = 0.
-1, 3, 5
Let 2*l**3 + 4*l**2 - 64*l - 192 = 0. What is l?
-4, 6
Solve 4*f**4/3 - 332*f**3/3 + 328*f**2/3 = 0 for f.
0, 1, 82
Factor c**2/4 + 223*c/4 + 111/2.
(c + 1)*(c + 222)/4
Find c, given that -5*c**4/4 - 47*c**3/2 - 381*c**2/4 + 145*c - 25 = 0.
-10, 1/5, 1
Solve 2*l**5/3 - 2*l**3 - 4*l**2/3 = 0 for l.
-1, 0, 2
Factor -3*t**2 + 36*t - 96.
-3*(t - 8)*(t - 4)
Suppose -2*n**5/3 - 2*n**4 + 8*n**2/3 = 0. What is n?
-2, 0, 1
Suppose -4*y**4/7 + 44*y**2/7 + 72*y/7 + 32/7 = 0. Calculate y.
-2, -1, 4
Factor -m**3/4 + m**2 + 9*m/4 - 9.
-(m - 4)*(m - 3)*(m + 3)/4
Factor -4*q**4/5 - 29*q**3/5 - 47*q**2/5 - 2*q.
-q*(q + 2)*(q + 5)*(4*q + 1)/5
Suppose y**5/2 - 9*y**4 + 51*y**3/2 + 35*y**2 = 0. Calculate y.
-1, 0, 5, 14
Solve -3*v**2 - 81*v - 150 = 0 for v.
-25, -2
Factor -21*f**4/5 - 1788*f**3/5 - 2016*f**2/5.
-3*f**2*(f + 84)*(7*f + 8)/5
Determine g so that 7*g**5 + 838*g**4 - 2809*g**3 + 2456*g**2 - 492*g = 0.
-123, 0, 2/7, 1, 2
Let 2*w**2 + 10*w - 28 = 0. What is