.
-30, 1
Suppose -2*g**5/13 - 14*g**4/13 + 448*g**3/13 + 72*g**2 = 0. What is g?
-18, -2, 0, 13
Factor 2*b**2 - 1128*b + 159048.
2*(b - 282)**2
Solve -2*z**5 - 26*z**4 + 66*z**3 + 82*z**2 - 128*z - 120 = 0.
-15, -1, 2
Determine i, given that 4*i**3 + 20*i**2 + 8*i - 32 = 0.
-4, -2, 1
Solve 80*w**4 + 385*w**3 + 485*w**2 + 135*w - 45 = 0.
-3, -1, 3/16
Factor 3*f**3/4 - 21*f**2/4 + 9*f/2.
3*f*(f - 6)*(f - 1)/4
Suppose 8*u**4/17 + 198*u**3/17 - 506*u**2/17 - 534*u/17 + 162/17 = 0. Calculate u.
-27, -1, 1/4, 3
Determine q, given that -72*q**3 + 132*q**2 + 455*q/2 + 147/2 = 0.
-7/12, 3
Let -3*n**5 + 39*n**4 - 129*n**3 + 45*n**2 + 216*n = 0. What is n?
-1, 0, 3, 8
Factor -2*f**4/5 - 286*f**3/5 - 566*f**2/5 - 282*f/5.
-2*f*(f + 1)**2*(f + 141)/5
What is n in -n**2/2 + 10*n - 32 = 0?
4, 16
Let k**4 + 12*k**3 + 36*k**2 + 32*k = 0. Calculate k.
-8, -2, 0
Find n such that -n**4 - 4*n**3 + 80*n**2 - 192*n = 0.
-12, 0, 4
Factor -3*f**2 - 54*f - 243.
-3*(f + 9)**2
Factor 2*y**3 - 10*y**2 + 12*y.
2*y*(y - 3)*(y - 2)
Suppose -12*q**5 - 244*q**4 - 1004*q**3 + 2596*q**2 + 968*q = 0. What is q?
-11, -1/3, 0, 2
Let -5*n**4 + 115*n**3 + 130*n**2 - 240*n = 0. What is n?
-2, 0, 1, 24
Suppose 5*m**2/3 - 11210*m/3 + 6283205/3 = 0. What is m?
1121
Determine j so that -4*j**4 - 68*j**3 - 252*j**2 + 612*j + 2592 = 0.
-9, -8, -3, 3
Factor 2*a**4/17 + 180*a**3/17 - 1536*a**2/17 + 3136*a/17.
2*a*(a - 4)**2*(a + 98)/17
Factor 3*v**4 + 27*v**3 - 120*v**2 - 144*v.
3*v*(v - 4)*(v + 1)*(v + 12)
Let 5*q**2 - 1630*q + 132845 = 0. Calculate q.
163
Factor -2*v**3 + 38*v**2 - 198*v + 162.
-2*(v - 9)**2*(v - 1)
Suppose w**2/2 - 17*w/2 + 35 = 0. What is w?
7, 10
Factor 8*j**2/11 - 102*j/11 - 10.
2*(j + 1)*(4*j - 55)/11
Factor -n**2/3 - 7930*n/3 - 15721225/3.
-(n + 3965)**2/3
Factor l**4/11 + 18*l**3/11 - 19*l**2/11.
l**2*(l - 1)*(l + 19)/11
Let -9*u**5/5 - 69*u**4/5 + 156*u**3/5 + 924*u**2/5 - 240*u - 1152/5 = 0. Calculate u.
-8, -4, -2/3, 2, 3
Factor -2*f**4/3 + 620*f**3/3 - 21000*f**2 + 661500*f + 3858750.
-2*(f - 105)**3*(f + 5)/3
Factor 2*g**3 + 62*g**2 - 2*g - 62.
2*(g - 1)*(g + 1)*(g + 31)
Find b such that b**4/6 - 1964*b**3/3 + 1285765*b**2/2 + 1964*b/3 - 1928648/3 = 0.
-1, 1, 1964
Factor 12*t**3/17 - 122*t**2/17 + 128*t/17 - 18/17.
2*(t - 9)*(t - 1)*(6*t - 1)/17
Factor -50*w**2/3 + 446*w/3 + 12.
-2*(w - 9)*(25*w + 2)/3
Suppose 4*v**3 - 4*v**2 - 16*v + 16 = 0. What is v?
-2, 1, 2
Let 14*h**3 - 228*h**2 - 1784*h + 528 = 0. What is h?
-6, 2/7, 22
Factor 3*a**2/5 + 2427*a/5 - 486.
3*(a - 1)*(a + 810)/5
Factor -2*v**3/5 + 32*v**2/5 + 152*v/5 + 32.
-2*(v - 20)*(v + 2)**2/5
Solve -h**2/3 + 2570*h/3 - 1651225/3 = 0.
1285
Find l such that 2*l**3/21 + 292*l**2/21 + 1480*l/3 - 21904/21 = 0.
-74, 2
Find i, given that -2*i**3/5 + 32*i**2/5 + 152*i/5 + 32 = 0.
-2, 20
Let -f**5 - 5*f**4 - 7*f**3 - 3*f**2 = 0. Calculate f.
-3, -1, 0
Determine h so that h**2/2 - 325*h - 651/2 = 0.
-1, 651
Determine y, given that -y**4 + 14*y**3 + 37*y**2 - 74*y - 96 = 0.
-3, -1, 2, 16
What is l in 5*l**2 + 265*l + 2460 = 0?
-41, -12
Factor 21*d**3/8 - 15*d**2/8 - 129*d/4 - 9.
3*(d - 4)*(d + 3)*(7*d + 2)/8
Factor b**3 - 128*b**2 + 615*b.
b*(b - 123)*(b - 5)
Let 3*b**2/4 + 375*b/4 + 702 = 0. What is b?
-117, -8
Factor -q**3 - 25*q**2 + 352*q + 9196.
-(q - 19)*(q + 22)**2
Determine z so that -83*z**2/2 + 247*z/6 + 1/3 = 0.
-2/249, 1
Let z**4/5 + 805*z**3 + 4048143*z**2/5 - 4052169*z/5 = 0. What is z?
-2013, 0, 1
Factor 4*h**2 - 2500*h.
4*h*(h - 625)
Determine p so that -2*p**2/3 + 232*p/3 + 472/3 = 0.
-2, 118
Suppose -3*i**2 - 27*i + 30 = 0. Calculate i.
-10, 1
Solve -x**5/8 + 1159*x**4/8 - 56018*x**3 + 7244641*x**2 - 7077310*x - 14378114 = 0 for x.
-1, 2, 386
Factor 2*o**2 - 1818*o.
2*o*(o - 909)
Solve 3*l**5 + 177*l**4 + 147*l**3 - 1533*l**2 + 1902*l - 696 = 0 for l.
-58, -4, 1
Solve 4*w**2 + 776*w + 772 = 0.
-193, -1
Let d**4/9 - 40*d**3/9 + 157*d**2/3 - 156*d + 108 = 0. What is d?
1, 3, 18
Factor -2*k**3 - 26*k**2 + 192*k + 216.
-2*(k - 6)*(k + 1)*(k + 18)
Factor 4*o**4 - 956*o**3 + 4692*o**2 - 2772*o - 8424.
4*(o - 234)*(o - 3)**2*(o + 1)
Let -5*g**5 + 15*g**4 - 10*g**3 = 0. What is g?
0, 1, 2
What is j in j**4 - 10*j**3 + 23*j**2 - 14*j = 0?
0, 1, 2, 7
Find t such that 2*t**3/11 - 58*t**2/11 + 390*t/11 + 450/11 = 0.
-1, 15
Factor -2*u**2 - 308*u + 624.
-2*(u - 2)*(u + 156)
Solve -2*y**4/7 - 72*y**3/7 + 22*y**2 + 72*y/7 - 152/7 = 0 for y.
-38, -1, 1, 2
Suppose t**2/2 - 1483*t + 2199289/2 = 0. What is t?
1483
Let 62*l**2 + 56*l - 6 = 0. What is l?
-1, 3/31
Determine c so that -3*c**3/5 + 189*c**2/5 - 186*c/5 = 0.
0, 1, 62
Determine b, given that b**5 - 9*b**4/7 - 19*b**3/7 + 13*b**2/7 + 12*b/7 - 4/7 = 0.
-1, 2/7, 1, 2
Find k, given that 3*k**2/2 - 12*k - 30 = 0.
-2, 10
Factor 51*x**2/5 - 108*x/5 + 12/5.
3*(x - 2)*(17*x - 2)/5
Factor b**4 + b**3 - 21*b**2 - 45*b.
b*(b - 5)*(b + 3)**2
Factor -4*t**2 - 188*t - 1768.
-4*(t + 13)*(t + 34)
Factor 2*p**4/7 + 48*p**3 + 13050*p**2/7 - 90828*p/7.
2*p*(p - 6)*(p + 87)**2/7
Solve 15*i**3 + 155*i**2 - 535*i - 195 = 0.
-13, -1/3, 3
Determine w so that -w**4 - 3*w**3 + 65*w**2 + 75*w - 1000 = 0.
-8, -5, 5
Factor -5*i**3 - 1780*i**2 + 3575*i - 1790.
-5*(i - 1)**2*(i + 358)
Factor c**4/6 - 49*c**2/3 + 2401/6.
(c - 7)**2*(c + 7)**2/6
Factor -5*r**2 - 1240*r + 2500.
-5*(r - 2)*(r + 250)
Factor 5*b**4 + 35*b**3 - 470*b**2 - 1040*b.
5*b*(b - 8)*(b + 2)*(b + 13)
Let 3*c**2 - 24*c + 45 = 0. Calculate c.
3, 5
Factor 2*f**4/7 + 12*f**3/7 + 24*f**2/7 + 16*f/7.
2*f*(f + 2)**3/7
Solve 5*h**2 + 420*h + 820 = 0.
-82, -2
What is k in 2*k**2/9 + 76*k/9 + 74/9 = 0?
-37, -1
Determine j so that 6*j**5/7 - 866*j**4/7 - 1482*j**3/7 + 3218*j**2/7 - 876*j/7 = 0.
-3, 0, 1/3, 1, 146
Factor 5*s**5 + 640*s**4 + 23305*s**3 + 174050*s**2.
5*s**2*(s + 10)*(s + 59)**2
Suppose x**3/2 - 23*x**2/2 + 11*x = 0. What is x?
0, 1, 22
Find a such that -44*a**3 - 4*a**2 + 44*a + 4 = 0.
-1, -1/11, 1
Let -20*r**5 + 92*r**4 - 176*r**2 - 64*r = 0. Calculate r.
-1, -2/5, 0, 2, 4
Suppose -4*a**5/5 + 84*a**4/5 + 8*a**3/5 - 168*a**2/5 - 4*a/5 + 84/5 = 0. What is a?
-1, 1, 21
Let -2*b**5/7 - 26*b**4/7 - 102*b**3/7 - 10*b**2 + 200*b/7 = 0. Calculate b.
-5, -4, 0, 1
Let -o**2/8 - 3*o/8 + 5/4 = 0. Calculate o.
-5, 2
Factor -n**2/2 - n + 15/2.
-(n - 3)*(n + 5)/2
Let 2*x**4/7 - 22*x**3/7 + 20*x**2/7 + 144*x/7 = 0. What is x?
-2, 0, 4, 9
Solve 5*i**5 + 65*i**4 + 165*i**3 + 155*i**2 + 50*i = 0 for i.
-10, -1, 0
Factor -d**4/2 + 15*d**3/2 + 3*d**2/2 - 47*d/2 + 15.
-(d - 15)*(d - 1)**2*(d + 2)/2
Factor g**4/5 + 14*g**3/5 + 69*g**2/5 + 28*g + 20.
(g + 2)**2*(g + 5)**2/5
Factor 6*y**2 - 507*y + 252.
3*(y - 84)*(2*y - 1)
Let 5*t**5 + 35*t**4 + 85*t**3 + 85*t**2 + 30*t = 0. Calculate t.
-3, -2, -1, 0
Suppose -4*i**5/3 + 16*i**4/3 + 80*i**3/3 + 40*i**2/3 - 76*i/3 - 56/3 = 0. What is i?
-2, -1, 1, 7
Let 5*o**5 - 5*o**4 - 85*o**3 - 75*o**2 = 0. Calculate o.
-3, -1, 0, 5
Find h such that 3*h**2 - 54*h + 243 = 0.
9
Factor -2*w**3/7 + 26*w**2/7 - 80*w/7 + 72/7.
-2*(w - 9)*(w - 2)**2/7
Suppose -5*k**2 - 400*k - 8000 = 0. Calculate k.
-40
Solve 5*z**5 + 45*z**4 + 65*z**3 - 45*z**2 - 70*z = 0 for z.
-7, -2, -1, 0, 1
Factor t**3 - t**2 - t + 1.
(t - 1)**2*(t + 1)
Suppose 2*i**2/3 + 22*i - 860/3 = 0. Calculate i.
-43, 10
Factor -2*d**3 + 6*d**2 + 18*d + 10.
-2*(d - 5)*(d + 1)**2
Factor 405*r**2/2 - 51*r/2 - 3.
3*(5*r - 1)*(27*r + 2)/2
Factor -2*a**4/3 + 6*a**2.
-2*a**2*(a - 3)*(a + 3)/3
Suppose -4*o**5 - 104*o**4 - 696*o**3 - 1504*o**2 - 1316*o - 408 = 0. Calculate o.
-17, -6, -1
Solve -5*u**2 + 370*u - 1065 = 0.
3, 71
Factor 2*x**5/9 - 688*x**4/9 - 5584*x**3/9 - 16832*x**2/9 - 22496*x/9 - 11264/9.
2*(x - 352)*(x + 2)**4/9
Suppose v**3/3 + 8*v**2/3 - 23*v/3 - 10 = 0. What is v?
-10, -1, 3
Factor -d**3/4 + 35*d**2/4 - 17*d/2.
-d*(d - 34)*(d - 1)/4
Factor -2*h**3 - 3726*h**2 - 2313846*h - 478966122.
-2*(h + 621)**3
Find h such that 2*h**5/17 - 20*h**4/17 + 50*h**3/17 + 40*h**2/17 - 160*h/17 - 128/17 = 0.
-1, 4
Find h, given that 4*h**2 + 32*h - 1536 = 0.
-24, 16
Suppose x**4/9 - 7*x**3/9 + 16*x**2/9 - 4*x/3 = 0. Calculate x.
0, 2, 3
Factor 3*s**2 + 288*s + 6912.
3*(s + 48)**2
Find u such that 4*u**5 - 32*u**4 + 44*u**3 + 32*u**2 - 48*u = 0.
-1, 0, 1, 2, 6
Solve 2*l**2/3 + 16*l/3 - 102 = 0 for l.
-17, 9
Find y such that -2*y**3 - 2610*y**2 - 11353