
Suppose -2*z**5/7 + 6*z**4 - 212*z**3/7 - 108*z**2/7 + 2230*z/7 - 1950/7 = 0. What is z?
-3, 1, 5, 13
Suppose -4*m**5 + 240*m**4 + 508*m**3 - 712*m**2 - 1968*m - 992 = 0. Calculate m.
-2, -1, 2, 62
Factor b**2/7 + 146*b/7 + 568/7.
(b + 4)*(b + 142)/7
Find k, given that 5*k**3 - 20*k**2 + 15*k = 0.
0, 1, 3
Factor -n**2/2 + 7*n - 13/2.
-(n - 13)*(n - 1)/2
Suppose 3*y**5 - 33*y**4 + 99*y**3 - 15*y**2 - 150*y = 0. What is y?
-1, 0, 2, 5
Factor -2*r**5/9 - 140*r**4/9 - 2146*r**3/9 + 10952*r**2/9.
-2*r**2*(r - 4)*(r + 37)**2/9
Factor 1717*y**2/2 - 3433*y - 4.
(y - 4)*(1717*y + 2)/2
Find s, given that -10*s**4/3 + 35*s**3/3 + 20*s**2/3 = 0.
-1/2, 0, 4
Factor 4*w**4 + 39*w**3 + 59*w**2 + 24*w.
w*(w + 1)*(w + 8)*(4*w + 3)
Factor -2*w**5/17 - 12*w**4/17 + 14*w**3/17.
-2*w**3*(w - 1)*(w + 7)/17
Factor 76*u**2/17 - 5778*u/17 + 152/17.
2*(u - 76)*(38*u - 1)/17
Find y such that -5*y**5 + 180*y**4 - 1815*y**3 + 2300*y**2 + 28500*y = 0.
-3, 0, 10, 19
Solve 3*j**5 - 27*j**4 + 81*j**3 - 81*j**2 = 0.
0, 3
Factor 30*k**3 + 1625*k**2 - 1380*k - 275.
5*(k - 1)*(k + 55)*(6*k + 1)
Factor -3*n**2/5 - 54*n/5 - 27.
-3*(n + 3)*(n + 15)/5
Let -1250*r**2 - 300*r - 18 = 0. Calculate r.
-3/25
Solve -15*z**5 - 309*z**4 - 1674*z**3 - 780*z**2 + 600*z = 0 for z.
-10, -1, 0, 2/5
Factor r**4/7 + 10*r**3/7 - 3*r**2/7 - 4*r + 20/7.
(r - 1)**2*(r + 2)*(r + 10)/7
Suppose -2*l**4/19 - 14*l**3/19 - 10*l**2/19 + 14*l/19 + 12/19 = 0. What is l?
-6, -1, 1
Factor 5*d**4 - 225*d**3 + 2405*d**2 + 3105*d - 5290.
5*(d - 23)**2*(d - 1)*(d + 2)
Find w, given that w**4 - 39*w**3 + 397*w**2 - 285*w - 722 = 0.
-1, 2, 19
Suppose -35*t**4 - 95*t**3 + 380*t**2 - 100*t = 0. Calculate t.
-5, 0, 2/7, 2
Factor -4*b**5 - 196*b**4 - 3264*b**3 - 19456*b**2 - 16384*b.
-4*b*(b + 1)*(b + 16)**3
Let -12*b**5 + 44*b**4 + 132*b**3 - 716*b**2 + 840*b - 288 = 0. Calculate b.
-4, 2/3, 1, 3
Factor -2*u**2 + 856*u - 91592.
-2*(u - 214)**2
Factor 2*r**4/9 - 16*r**3/9 + 14*r**2/9.
2*r**2*(r - 7)*(r - 1)/9
Solve -14*i**5/13 - 94*i**4/13 + 284*i**3/13 - 68*i**2/13 - 270*i/13 + 162/13 = 0.
-9, -1, 1, 9/7
Factor -h**3/6 + 391*h**2/6 - 775*h/6 - 389/2.
-(h - 389)*(h - 3)*(h + 1)/6
Suppose 2*b**3/5 - 14*b**2/5 - 98*b/5 + 686/5 = 0. Calculate b.
-7, 7
Solve -70*j**2 - 416*j + 24 = 0.
-6, 2/35
Factor -2*p**5/13 - 2*p**4/13 + 12*p**3/13.
-2*p**3*(p - 2)*(p + 3)/13
Factor 4*x**3 + 260*x**2 + 752*x + 496.
4*(x + 1)*(x + 2)*(x + 62)
Factor 2*i**3 - 98*i**2 - 418*i - 318.
2*(i - 53)*(i + 1)*(i + 3)
Factor 5*z**3/2 + 110*z**2 + 1185*z/2 + 855.
5*(z + 3)**2*(z + 38)/2
Determine x so that -4*x**2 - 379*x + 95 = 0.
-95, 1/4
Factor -b**2/9 - 517*b/9.
-b*(b + 517)/9
Solve -b**2/5 + 27*b/5 - 34 = 0 for b.
10, 17
Suppose -3*d**4 + 555*d**3 - 23646*d**2 - 187776*d - 276480 = 0. Calculate d.
-5, -2, 96
Factor -2*a**3/7 + 4002*a**2/7 - 15984*a/7 + 15976/7.
-2*(a - 1997)*(a - 2)**2/7
Factor 14*s**4 - 110*s**3 + 224*s**2 - 120*s.
2*s*(s - 5)*(s - 2)*(7*s - 6)
Solve t**4/3 + t**3/3 - 4*t**2/3 - 4*t/3 = 0 for t.
-2, -1, 0, 2
Solve 5*o**4/4 + 90*o**3 - 1125*o**2/4 + 5*o + 375 = 0.
-75, -1, 2
Factor -5*z**2 + 10*z - 5.
-5*(z - 1)**2
Factor -10*h**2 - 85*h - 130.
-5*(h + 2)*(2*h + 13)
Factor -p**2 - 50*p + 531.
-(p - 9)*(p + 59)
Suppose 3*z**2 - 1206*z + 2400 = 0. What is z?
2, 400
Factor r**3/4 - 387*r**2/4 + 49923*r/4 - 2146689/4.
(r - 129)**3/4
Solve 14*a**5/11 - 190*a**4/11 + 524*a**3/11 - 184*a**2/11 - 592*a/11 + 320/11 = 0 for a.
-1, 4/7, 2, 10
Determine l so that -33*l**4/7 + 444*l**3/7 - 1440*l**2/7 = 0.
0, 60/11, 8
Let -2*l**4/7 + 114*l**3/7 + 614*l**2/7 + 390*l/7 - 1116/7 = 0. Calculate l.
-3, 1, 62
Factor -2*u**2 + 522*u + 3204.
-2*(u - 267)*(u + 6)
Factor -z**5/9 - 71*z**4/9 - 254*z**3/3 - 366*z**2 - 717*z - 531.
-(z + 3)**4*(z + 59)/9
Suppose 8*i**4/5 - 186*i**3/5 + 358*i**2/5 + 426*i/5 - 126/5 = 0. What is i?
-1, 1/4, 3, 21
Factor f**2/10 - 319*f/10 - 1476/5.
(f - 328)*(f + 9)/10
Find c such that 5*c**4/2 + 245*c**3 + 13365*c**2/2 + 32890*c + 26450 = 0.
-46, -5, -1
Suppose -5*y**3 - 70*y**2 + 255*y = 0. Calculate y.
-17, 0, 3
Factor -2*k**3/9 - 22*k**2/9 - 10*k/3 + 6.
-2*(k - 1)*(k + 3)*(k + 9)/9
Factor -699*y**3 + 2784*y**2 - 2049*y - 36.
-3*(y - 3)*(y - 1)*(233*y + 4)
Let -33*w**4 - 171*w**3 + 3*w**2 + 171*w + 30 = 0. What is w?
-5, -1, -2/11, 1
Determine g, given that -5*g**5/3 - 65*g**4/3 - 320*g**3/3 - 740*g**2/3 - 800*g/3 - 320/3 = 0.
-4, -2, -1
Factor 3*c**4/5 - 27*c**3/5 - 63*c**2/5 - 33*c/5.
3*c*(c - 11)*(c + 1)**2/5
Factor s**4/3 + 5*s**3/3 - 92*s**2/3 - 32*s.
s*(s - 8)*(s + 1)*(s + 12)/3
Suppose 4*l**5 - 20*l**4 - 32*l**3 + 304*l**2 - 512*l + 256 = 0. Calculate l.
-4, 1, 2, 4
Factor a**2/8 - 3*a/4 + 9/8.
(a - 3)**2/8
Factor n**5/5 - 13*n**4/5 + 19*n**3/5 + 29*n**2 + 176*n/5 + 64/5.
(n - 8)**2*(n + 1)**3/5
Factor 3*i**4 - 18*i**3 + 15*i**2 + 36*i.
3*i*(i - 4)*(i - 3)*(i + 1)
Factor -2*n**2 + 284*n + 286.
-2*(n - 143)*(n + 1)
Determine j, given that 14*j**5 - 1194*j**4 + 23776*j**3 + 72152*j**2 + 31680*j - 15488 = 0.
-2, -1, 2/7, 44
Factor -r**2/2 - 443*r/2 - 660.
-(r + 3)*(r + 440)/2
Solve 12*y**3 - 135*y**2 + 153*y - 30 = 0 for y.
1/4, 1, 10
Factor w**4 + 42*w**3 + 396*w**2 - 968*w.
w*(w - 2)*(w + 22)**2
Find k such that 28*k**4/3 - 11870*k**3 - 2550*k**2 + 22900*k/3 - 1696 = 0.
-1, 2/7, 1/2, 1272
Suppose 4*j**3/3 + 20*j**2/3 - 8*j = 0. Calculate j.
-6, 0, 1
What is o in -5*o**5/6 - 985*o**4/6 = 0?
-197, 0
Find n such that -21*n**2/5 - 72*n - 51/5 = 0.
-17, -1/7
Factor -3*j**2 + 159*j + 684.
-3*(j - 57)*(j + 4)
Find b such that 2*b**5 - 26*b**4 + 60*b**3 + 8*b**2 - 80*b = 0.
-1, 0, 2, 10
Factor 2*z**3/5 + 12*z**2/5 - 72*z/5 + 16.
2*(z - 2)**2*(z + 10)/5
Solve -4*d**4 + 160*d**3 - 1332*d**2 - 3160*d - 1664 = 0 for d.
-1, 16, 26
Find v, given that -5*v**3 + 100*v**2 - 65*v - 570 = 0.
-2, 3, 19
Find t such that -2*t**3/3 + 130*t**2/3 + 284*t/3 - 1072/3 = 0.
-4, 2, 67
Solve -3*j**3/4 - 339*j**2 + 2733*j/4 + 2043/2 = 0 for j.
-454, -1, 3
Factor -w**2/2 - 16*w + 473/2.
-(w - 11)*(w + 43)/2
Let 2*b**4 - 16*b**3 - 40*b**2 = 0. What is b?
-2, 0, 10
Factor a**3/5 - 101*a**2/5 - a/5 + 101/5.
(a - 101)*(a - 1)*(a + 1)/5
Factor 2*c**3/9 - 22*c**2/3 - 46*c/3 - 70/9.
2*(c - 35)*(c + 1)**2/9
What is o in 5*o**4/3 - 230*o**3 + 2035*o**2/3 - 450*o = 0?
0, 1, 2, 135
Find s such that -5*s**5 - 95*s**4 - 320*s**3 - 300*s**2 = 0.
-15, -2, 0
What is b in -2*b**3 + 204*b**2 + 840*b + 848 = 0?
-2, 106
Find a such that 2*a**3/13 + 118*a**2/13 - 924*a/13 = 0.
-66, 0, 7
Let 2*v**3 + 6054*v**2 + 12102*v + 6050 = 0. Calculate v.
-3025, -1
Factor -z**5 + 5*z**4 - 3*z**3 - 9*z**2.
-z**2*(z - 3)**2*(z + 1)
Suppose -9*l**4/2 - 15*l**3/2 + 159*l**2 + 270*l + 108 = 0. What is l?
-6, -1, -2/3, 6
Find v, given that -2*v**2 + 32*v + 34 = 0.
-1, 17
Factor -2*l**2 - 444*l - 880.
-2*(l + 2)*(l + 220)
Factor v**2/3 + 2*v + 3.
(v + 3)**2/3
Factor -r**4 + 348*r**3 - 29922*r**2 - 62300*r + 91875.
-(r - 175)**2*(r - 1)*(r + 3)
Factor -n**3/4 - 33*n**2/4.
-n**2*(n + 33)/4
Find m such that 25600*m**5 + 24960*m**4 - 26236*m**3 - 24956*m**2 + 636*m - 4 = 0.
-1, 1/80, 1
Let 2*q**4 - 6*q**3 + 4*q**2 = 0. Calculate q.
0, 1, 2
Suppose -4*b**4 - 114*b**3 + 588*b**2 - 206*b - 264 = 0. Calculate b.
-33, -1/2, 1, 4
Suppose -39*w**4 + 825*w**3 - 4806*w**2 + 4620*w - 600 = 0. What is w?
2/13, 1, 10
Factor -2*x**4 + 6*x**3 - 2*x**2 - 6*x + 4.
-2*(x - 2)*(x - 1)**2*(x + 1)
Determine w so that -w**3/3 - 7*w**2 - 45*w - 81 = 0.
-9, -3
Factor -2*p**3 + 486*p**2 - 480*p - 968.
-2*(p - 242)*(p - 2)*(p + 1)
Factor -2*b**2 + 4172*b - 4170.
-2*(b - 2085)*(b - 1)
Let 4*p**5 - 28*p**4 + 44*p**3 - 20*p**2 = 0. Calculate p.
0, 1, 5
Find t, given that -t**5/9 + 26*t**4/9 - 50*t**3/3 + 68*t**2/9 + 695*t/9 + 50 = 0.
-1, 5, 18
What is o in -o**2/5 + 657*o/5 - 656/5 = 0?
1, 656
Suppose 6*i**5 + 34*i**4 + 42*i**3 - 42*i**2 - 64*i + 24 = 0. What is i?
-3, -2, 1/3, 1
Factor -5*a**2/2 + 110*a - 210.
-5*(a - 42)*(a - 2)/2
Factor 2*v**4/21 + 628*v**3/7 + 147894*v**2/7.
2*v**2*(v + 471)**2/21
Factor 2*w**4 + 70*w**3.
2*w**3*(w + 35)
Factor t**5/4 - 663*t**4/4 + 1321*t**3/2 - 1979*t**2/2 + 2637*t/4 - 659/4.
(t - 659)*(t - 1)**4/4
Factor 4*a**5 - 8*a**4 + 4*a**3.
4*a**3*(a - 1)**2
Find l, given that 2*l**3 + 54*l**2 - 1458*l - 39366 = 0.
-27, 27
Factor 3*p**2 + 492*p.
3*p*(p + 164)
Let -2*c**3 - 122*c**2 - 2