 2
Determine p, given that -p**2/3 - 13*p + 90 = 0.
-45, 6
Suppose -a**2 + 702*a - 701 = 0. What is a?
1, 701
Find m, given that -m**4/6 - 5*m**3/6 + m**2/2 + 15*m/2 + 9 = 0.
-3, -2, 3
Determine u, given that 2*u**4/7 - 48*u**3/7 + 324*u**2/7 - 352*u/7 - 726/7 = 0.
-1, 3, 11
What is b in 5*b**3 - 705*b**2 + 25200*b - 24500 = 0?
1, 70
Factor -4*n**3 + 64*n**2 - 52*n - 120.
-4*(n - 15)*(n - 2)*(n + 1)
Find v such that -8*v**4/3 - 98*v**3 - 2510*v**2/3 + 1178*v - 722/3 = 0.
-19, 1/4, 1
Factor -2*x**4 + 126*x**3 - 2346*x**2 + 5290*x + 146004.
-2*(x - 23)**3*(x + 6)
Find c, given that -2*c**4/15 + 8*c**3/5 - 14*c**2/5 + 4*c/3 = 0.
0, 1, 10
Factor -x**4 - 199*x**3 + 604*x**2 - 404*x.
-x*(x - 2)*(x - 1)*(x + 202)
Solve -2*t**2/9 + 34*t/9 = 0 for t.
0, 17
Factor k**2/2 + 37*k/2 + 51.
(k + 3)*(k + 34)/2
Factor 3*l**4 + 15*l**3 - 9*l**2 - 51*l - 30.
3*(l - 2)*(l + 1)**2*(l + 5)
Determine b, given that 60*b**4/7 - 129*b**3/7 + 12*b**2/7 + 12*b/7 = 0.
-1/4, 0, 2/5, 2
Let -m**4/7 + 3*m**3/7 + 2*m**2/7 - 12*m/7 + 8/7 = 0. Calculate m.
-2, 1, 2
Factor -2*f**2/11 - 536*f/11 - 35912/11.
-2*(f + 134)**2/11
Suppose -2*x**2/13 - 2308*x/13 - 665858/13 = 0. Calculate x.
-577
Solve 5*x**4 - 145*x**3 + 690*x**2 = 0 for x.
0, 6, 23
Factor 2*v**2/9 - 1412*v/9 + 249218/9.
2*(v - 353)**2/9
Factor -4*t**2 + 68*t - 288.
-4*(t - 9)*(t - 8)
Find l such that 2*l**5 - 30*l**4 - 140*l**3 - 220*l**2 - 150*l - 38 = 0.
-1, 19
Let -4*m**4/7 + 68*m**3/7 + 80*m**2/7 - 144*m/7 = 0. Calculate m.
-2, 0, 1, 18
Factor f**4/7 + 27*f**3/7 + 156*f**2/7 + 332*f/7 + 240/7.
(f + 2)**2*(f + 3)*(f + 20)/7
Solve -4*i**2/9 + 28*i/3 = 0 for i.
0, 21
Determine z, given that -2*z**5/9 - 2*z**4/9 + 16*z**3/9 + 16*z**2/9 - 32*z/9 - 32/9 = 0.
-2, -1, 2
Factor 3*x**3 - 18*x**2 - 93*x + 108.
3*(x - 9)*(x - 1)*(x + 4)
Factor 4*j**3 + 28*j**2 + 48*j.
4*j*(j + 3)*(j + 4)
Solve t**3 - 21*t**2 - t + 21 = 0.
-1, 1, 21
Factor x**2/8 - 4*x.
x*(x - 32)/8
Find v, given that -5*v**4 - 315*v**3 - 1205*v**2 - 1485*v - 590 = 0.
-59, -2, -1
Factor 15*j**2/7 - 1326*j/7 + 528/7.
3*(j - 88)*(5*j - 2)/7
Find h such that -3*h**3/4 + 39*h**2/2 + 1725*h/4 - 450 = 0.
-15, 1, 40
Let -2*f**3/5 - 58*f**2 + 1492*f/5 - 240 = 0. What is f?
-150, 1, 4
Let 2*n**3/5 - 4236*n**2/5 + 2242962*n/5 = 0. What is n?
0, 1059
Factor 3*b**3 - 81*b - 162.
3*(b - 6)*(b + 3)**2
Factor 2*p**2/7 + 4*p/7 - 16/7.
2*(p - 2)*(p + 4)/7
Suppose -w**4 + 1402*w**3 - 492800*w**2 + 980000*w = 0. Calculate w.
0, 2, 700
Factor 3*j**2 - 33168*j + 91676352.
3*(j - 5528)**2
Factor 2*u**3/13 - 396*u**2/13 + 19992*u/13 - 38416/13.
2*(u - 98)**2*(u - 2)/13
Find s such that -3*s**3 + 729*s**2 - 1449*s + 723 = 0.
1, 241
Find r such that 2*r**3 + 14*r**2 - 34*r + 18 = 0.
-9, 1
Factor 2*o**5 + 112*o**4 + 1328*o**3 - 6720*o**2 + 7200*o.
2*o*(o - 2)**2*(o + 30)**2
Factor a**5/4 - 3*a**4/2 - 5*a**3/2 + 4*a**2 + 33*a/4 + 7/2.
(a - 7)*(a - 2)*(a + 1)**3/4
What is g in 2*g**5/11 + 2*g**4 - 434*g**3/11 - 2974*g**2/11 + 29232*g/11 + 31752/11 = 0?
-14, -1, 9
Let 3*s**3/2 + 60*s**2 + 1011*s/2 - 567 = 0. Calculate s.
-27, -14, 1
Determine o so that o**4/4 - 21*o**3/4 + 73*o**2/4 - 87*o/4 + 17/2 = 0.
1, 2, 17
Factor -m**3.
-m**3
Find f such that 3*f**5/2 + 375*f**4/2 + 177*f**3 - 1122*f**2 - 732*f + 1488 = 0.
-124, -2, 1, 2
Factor -21*k**3/5 - 17373*k**2/5 - 4962*k/5.
-3*k*(k + 827)*(7*k + 2)/5
Find j such that 16*j**5 - 12*j**4 - 212*j**3 + 348*j**2 - 92*j - 48 = 0.
-4, -1/4, 1, 3
Let -y**4 + 30*y**3 - 49*y**2 - 192*y - 112 = 0. What is y?
-1, 4, 28
Factor -b**4/3 - 13*b**3 - 25*b**2 - 37*b/3.
-b*(b + 1)**2*(b + 37)/3
Factor 1444*a**3 + 38684*a**2 - 8192*a + 432.
4*(a + 27)*(19*a - 2)**2
Find o such that -6*o**4/7 - 36*o**3 - 1206*o**2/7 + 3840*o/7 + 21600/7 = 0.
-36, -5, 4
Suppose -34*k**5/7 - 30*k**4/7 + 106*k**3/7 + 22*k**2/7 - 72*k/7 + 8/7 = 0. Calculate k.
-2, -1, 2/17, 1
Solve 2*i**2/11 - 2216*i/11 - 2218/11 = 0.
-1, 1109
Find d, given that 10*d**3/11 - 24*d**2/11 - 2*d + 12/11 = 0.
-1, 2/5, 3
Find f, given that f**2 - 27*f = 0.
0, 27
Let -5*n**5 - 45*n**4 + 30*n**3 + 230*n**2 - 345*n + 135 = 0. What is n?
-9, -3, 1
Factor 21*h**2/5 - 57*h/5 + 6.
3*(h - 2)*(7*h - 5)/5
Factor -2*o**4/5 + 4*o**3/5 + 162*o**2/5 - 324*o/5.
-2*o*(o - 9)*(o - 2)*(o + 9)/5
Factor g**4 - 48*g**3 + 597*g**2 - 2870*g + 4800.
(g - 32)*(g - 6)*(g - 5)**2
Determine x so that 2*x**4/7 + 18*x**3/7 + 40*x**2/7 + 24*x/7 = 0.
-6, -2, -1, 0
Let 6*w**4 + 81*w**3 - 132*w**2 + 45*w = 0. Calculate w.
-15, 0, 1/2, 1
Let 2*h**5/9 + 16*h**4/9 + 46*h**3/9 + 56*h**2/9 + 8*h/3 = 0. What is h?
-3, -2, -1, 0
Factor 5*f**4 + 35*f**3 + 70*f**2 + 40*f.
5*f*(f + 1)*(f + 2)*(f + 4)
Factor i**4/12 + 47*i**3/12 + 135*i**2/2 + 1525*i/3 + 4250/3.
(i + 10)**3*(i + 17)/12
Let 2*z**5 - 12*z**4 + 18*z**3 + 8*z**2 - 24*z = 0. What is z?
-1, 0, 2, 3
Suppose 3*y**2 + 69*y - 630 = 0. What is y?
-30, 7
Determine f so that -3*f**2 - 54*f = 0.
-18, 0
Determine f so that -4*f**4 - 8*f**3 + 12*f**2 = 0.
-3, 0, 1
Determine y so that 45*y**5/7 - 186*y**4/7 - 207*y**3 + 318*y**2/7 + 1080*y/7 + 192/7 = 0.
-4, -2/3, -1/5, 1, 8
Find z, given that 2*z**2/19 - 32/19 = 0.
-4, 4
Factor -4*y**4 - 76*y**3 - 228*y**2 + 1276*y - 968.
-4*(y - 2)*(y - 1)*(y + 11)**2
Determine f so that -5*f**5 - 25*f**4 - 35*f**3 - 15*f**2 = 0.
-3, -1, 0
Solve -d**3/3 + 20*d**2/3 + 43*d/3 + 22/3 = 0.
-1, 22
What is r in 3*r**2/7 - 117*r/7 - 120/7 = 0?
-1, 40
Let 121*g**4/2 + 143*g**3 + 213*g**2/2 + 26*g + 2 = 0. Calculate g.
-1, -2/11
Let -4*q**2 - 160*q - 304 = 0. Calculate q.
-38, -2
Factor 5*d**5 - 80*d**4 + 320*d**3 - 530*d**2 + 395*d - 110.
5*(d - 11)*(d - 2)*(d - 1)**3
Factor 5*c**4/6 + c**3/2 - 31*c**2/3 + 4*c.
c*(c - 3)*(c + 4)*(5*c - 2)/6
Find p such that -p**2/3 + 134*p/3 - 4489/3 = 0.
67
Solve z**2/9 - 121*z/9 - 82/3 = 0.
-2, 123
Determine t, given that -2*t**3/3 + 20*t**2/3 - 56*t/3 + 16 = 0.
2, 6
Factor -v**3/2 + 3*v**2/2 - v.
-v*(v - 2)*(v - 1)/2
Suppose 12*h**2 - 214*h + 202 = 0. Calculate h.
1, 101/6
Suppose -5*l**4/2 - 25*l**3 - 115*l**2/2 - 35*l = 0. What is l?
-7, -2, -1, 0
Suppose o**3/6 - 49*o**2/6 + 172*o/3 - 328/3 = 0. What is o?
4, 41
What is d in 5*d**4 + 125*d**3 + 120*d**2 = 0?
-24, -1, 0
Find g, given that -3*g**2 + 639*g - 636 = 0.
1, 212
Let 21*v**5 - 162*v**4 - 48*v**3 = 0. What is v?
-2/7, 0, 8
Factor 3*n**3/2 + 8061*n**2/2 + 2705472*n - 2709504.
3*(n - 1)*(n + 1344)**2/2
Solve -2*j**5/3 - 4*j**4/3 + 220*j**3/3 + 224*j**2/3 - 218*j/3 - 220/3 = 0 for j.
-11, -1, 1, 10
Factor r**2/4 - 29*r/2 + 265/4.
(r - 53)*(r - 5)/4
Factor 3*x**2/7 + 90*x/7 + 81.
3*(x + 9)*(x + 21)/7
Factor -2*j**4/13 - 24*j**3/13 - 72*j**2/13.
-2*j**2*(j + 6)**2/13
Factor -f**4/3 + 10*f**3/3 + 23*f**2 + 30*f.
-f*(f - 15)*(f + 2)*(f + 3)/3
Find o, given that -o**5/2 + 5*o**4 - 17*o**3/2 + 4*o**2 = 0.
0, 1, 8
Suppose 3*v**4 - 48*v**3 - 111*v**2 + 48*v + 108 = 0. Calculate v.
-2, -1, 1, 18
Determine a so that 3*a**4/2 - a**3/2 - 19*a**2/2 - 15*a/2 = 0.
-5/3, -1, 0, 3
Determine t, given that 5*t**2 + 835*t - 8850 = 0.
-177, 10
Let -48*b**4 + 64*b**3 + 68*b**2 - 4*b - 8 = 0. Calculate b.
-1/2, 1/3, 2
Factor -y**2/7 - 48*y/7 - 47/7.
-(y + 1)*(y + 47)/7
What is d in -4*d**5 - 149*d**4 - 1165*d**3 + 4198*d**2 - 2080*d - 800 = 0?
-20, -1/4, 1, 2
Determine m so that -143*m**4/10 - 29*m**3/2 - m**2/5 = 0.
-1, -2/143, 0
What is o in 3*o**3/7 - 39*o**2/7 = 0?
0, 13
Determine k so that -2954*k**2 + 2958*k - 4 = 0.
2/1477, 1
Solve 10*n**2 - 1976*n - 792 = 0.
-2/5, 198
Find z such that -32*z**3 + 420*z**2 - 1188*z = 0.
0, 33/8, 9
Suppose -2*k**2/7 - 810*k/7 + 116 = 0. What is k?
-406, 1
Let 2*k**3/3 - 16*k**2/3 + 14*k/3 = 0. What is k?
0, 1, 7
Factor w**4/4 + 5*w**3/4 + 3*w**2/4 - 5*w/4 - 1.
(w - 1)*(w + 1)**2*(w + 4)/4
Let 15*a**5 + 65*a**4 + 95*a**3 + 55*a**2 + 10*a = 0. What is a?
-2, -1, -1/3, 0
Determine r, given that -20*r**5/3 + 128*r**4/3 - 148*r**3/3 - 200*r**2/3 + 32*r = 0.
-1, 0, 2/5, 3, 4
Factor -4*h**3 + 52*h**2 - 160*h + 144.
-4*(h - 9)*(h - 2)**2
Factor -3*n**5 + 48*n**4 + 288*n**3 + 546*n**2 + 435*n + 126.
-3*(n - 21)*(n + 1)**3*(n + 2)
Factor -4*f**2 - 8940*f + 17896.
-4*(f - 2)*(f + 2237)
What is k in -3*k**5/2 + 48*k**4 - 45*k**3 - 48*k**2 + 93*k/2 = 0?
-1, 0, 1, 31
Factor 5*p**3 + 15*p**2 - 20.
5*(p - 1)*(p + 2)**2
Factor -c**3/4 + 115*c**2/4 - 111*c.
-c*(c - 111)*(c - 4