 61
Determine f so that 2*f**2/3 + 74*f/3 - 140 = 0.
-42, 5
Factor 3*c**3 + 48*c**2 - 51*c.
3*c*(c - 1)*(c + 17)
Solve -5*d**2 - 185*d - 1050 = 0 for d.
-30, -7
Suppose 3*m**4/2 - 9*m**3 - 189*m**2/2 + 114*m + 198 = 0. Calculate m.
-6, -1, 2, 11
Solve 2*z**2/7 + 636*z + 353934 = 0.
-1113
Solve -2*r**4/19 + 2*r**3/19 + 8*r**2/19 - 8*r/19 = 0 for r.
-2, 0, 1, 2
Factor -5*q**2 - 4975*q.
-5*q*(q + 995)
Solve -3*r**5 - 66*r**4 - 57*r**3 + 126*r**2 = 0 for r.
-21, -2, 0, 1
Factor 5*l**3 + 10*l**2 - 355*l - 1260.
5*(l - 9)*(l + 4)*(l + 7)
Let 35*f**4 + 395*f**3 + 1230*f**2 + 1300*f + 280 = 0. What is f?
-7, -2, -2/7
Factor 2*x**2/7 + 240*x/7 - 242/7.
2*(x - 1)*(x + 121)/7
Suppose 4*r**4 - 80*r**3 + 140*r**2 + 80*r - 144 = 0. Calculate r.
-1, 1, 2, 18
Find c, given that -c**3/7 - 71*c**2/7 - 1020*c/7 = 0.
-51, -20, 0
Suppose 3*t**4 - 33*t**3 + 72*t**2 + 12*t - 96 = 0. Calculate t.
-1, 2, 8
Factor -3*a**3/4 - 9*a**2/2 - 33*a/4 - 9/2.
-3*(a + 1)*(a + 2)*(a + 3)/4
Solve -2*i**3 - 2*i**2 + 20*i - 16 = 0.
-4, 1, 2
Factor -4*g**3 - 8*g**2 + 116*g - 168.
-4*(g - 3)*(g - 2)*(g + 7)
Find n, given that -3*n**5/5 - 3*n**4 + 54*n**3/5 + 174*n**2/5 - 87*n + 45 = 0.
-5, 1, 3
Determine b so that 5*b**3 - 4840*b**2 + 1171280*b = 0.
0, 484
Determine r, given that -4*r**3 + 76*r**2 + 4*r - 76 = 0.
-1, 1, 19
Suppose d**3 - 13*d**2 + 16*d + 192 = 0. Calculate d.
-3, 8
Suppose 3*g**4/5 + 444*g**3/5 + 3009*g**2/5 + 6804*g/5 + 5076/5 = 0. What is g?
-141, -3, -2
Factor 2*o**3/13 + 20*o**2/13 - 66*o + 1620/13.
2*(o - 15)*(o - 2)*(o + 27)/13
Find f, given that -f**5 + 29*f**4/6 + 5*f**3/3 - 25*f**2/6 = 0.
-1, 0, 5/6, 5
Factor -p**5/8 - 21*p**4/8 + 75*p**3/4 - 79*p**2/2 + 27*p.
-p*(p - 2)**3*(p + 27)/8
Let -2*m**3/13 + 174*m**2/13 - 3870*m/13 + 3698/13 = 0. What is m?
1, 43
Factor -2*f**3 - 6*f**2 + 2*f + 6.
-2*(f - 1)*(f + 1)*(f + 3)
Determine b so that -2*b**3 - 50*b**2 - 136*b - 88 = 0.
-22, -2, -1
Factor -2*y**4 + 42*y**3 - 196*y**2 + 240*y.
-2*y*(y - 15)*(y - 4)*(y - 2)
Suppose s**2/4 - 27*s/4 + 81/2 = 0. Calculate s.
9, 18
What is p in 3*p**2 - 1983*p - 1986 = 0?
-1, 662
Suppose 72*g**4 - 2544*g**3 - 1750*g**2 + 794*g - 72 = 0. What is g?
-1, 1/6, 36
Find b, given that b**3 + 6*b**2 - 19*b - 24 = 0.
-8, -1, 3
Factor -3*f**3/5 + 3*f**2 - 9*f/5 - 27/5.
-3*(f - 3)**2*(f + 1)/5
Find m, given that -60*m**5 - 416*m**4 + 116*m**3 + 584*m**2 - 224*m = 0.
-7, -4/3, 0, 2/5, 1
Factor u**3/2 + 10*u**2 - 64*u - 1536.
(u - 12)*(u + 16)**2/2
Determine o, given that 4*o**2 - 40*o + 84 = 0.
3, 7
Suppose -5*b**3 - 210*b**2 + 3515*b - 3300 = 0. Calculate b.
-55, 1, 12
Solve -y**3/4 - 13*y**2/4 + 4*y + 7 = 0 for y.
-14, -1, 2
Let 3*p**4 - 42*p**3 - 51*p**2 + 90*p = 0. What is p?
-2, 0, 1, 15
Factor -4*m**4 - 56*m**3 - 192*m**2.
-4*m**2*(m + 6)*(m + 8)
Factor 4*b**3 + 104*b**2 + 580*b + 912.
4*(b + 3)*(b + 4)*(b + 19)
Factor -4*g**4 + 216*g**3 - 3312*g**2 + 10600*g - 7500.
-4*(g - 25)**2*(g - 3)*(g - 1)
Suppose 3*h**2 - 93*h - 96 = 0. Calculate h.
-1, 32
Factor 5*t**3 + 70*t**2 + 245*t.
5*t*(t + 7)**2
Factor 2*l**3 - 2*l**2 - 4*l.
2*l*(l - 2)*(l + 1)
Determine y, given that 5*y**2 - 32090*y + 51488405 = 0.
3209
Factor -2*q**5/7 + 286*q**4/7 - 2220*q**3 + 55300*q**2 - 575750*q + 1286250.
-2*(q - 35)**4*(q - 3)/7
Factor 12*r**5/5 - 33*r**4/5 + 18*r**3/5.
3*r**3*(r - 2)*(4*r - 3)/5
Factor m**4/5 + 4*m**3/5 - m**2/5 - 4*m/5.
m*(m - 1)*(m + 1)*(m + 4)/5
What is c in 2*c**5/7 - 32*c**4/7 + 30*c**3/7 = 0?
0, 1, 15
Solve -11*h**5 - 618*h**4 - 8736*h**3 - 1568*h**2 = 0.
-28, -2/11, 0
Solve -5*n**2 - 330*n - 325 = 0.
-65, -1
Let -x**3/6 + 79*x**2/3 - 917*x/6 + 380/3 = 0. What is x?
1, 5, 152
Factor 3*s**3 - 42*s**2 - 252*s + 648.
3*(s - 18)*(s - 2)*(s + 6)
Factor -2*g**2/9 + 514*g/3 - 3076/9.
-2*(g - 769)*(g - 2)/9
Let 2*k**4/13 + 484*k**3/13 + 30698*k**2/13 + 171336*k/13 + 250632/13 = 0. Calculate k.
-118, -3
Determine o so that 4*o**3 - 11*o**2 + 5*o + 2 = 0.
-1/4, 1, 2
Factor -4*o**3 + 1032*o**2 - 14580*o.
-4*o*(o - 243)*(o - 15)
Let 3*f**3/4 - 153*f**2/4 + 2025*f/4 - 1875/4 = 0. What is f?
1, 25
Factor -4*p**3 + 92*p**2 - 156*p - 252.
-4*(p - 21)*(p - 3)*(p + 1)
Find k such that 4*k**2 + 10752*k + 7225344 = 0.
-1344
Factor 3*m**4 - 990*m**3 + 84591*m**2 - 481140*m + 708588.
3*(m - 162)**2*(m - 3)**2
Determine b so that -2*b**3/7 - 32*b**2/7 - 122*b/7 - 132/7 = 0.
-11, -3, -2
Factor -5*u**3 - 90*u**2 - 235*u - 150.
-5*(u + 1)*(u + 2)*(u + 15)
Factor 5*d**2/6 + d/2 - 1/3.
(d + 1)*(5*d - 2)/6
Find s such that s**5/5 + 2*s**4/5 - 4*s**3/5 - 2*s**2/5 + 3*s/5 = 0.
-3, -1, 0, 1
Find y such that 2*y**2/7 - 169*y/7 + 12 = 0.
1/2, 84
Determine m so that 36*m**3/5 - 1108*m**2/5 - 248*m/5 = 0.
-2/9, 0, 31
Factor 2*v**3 + 16*v**2 + 10*v - 28.
2*(v - 1)*(v + 2)*(v + 7)
Determine v, given that -2*v**3/11 - 124*v**2/11 + 386*v/11 - 260/11 = 0.
-65, 1, 2
Determine f, given that -2*f**4/7 + 10*f**3/7 + 12*f**2/7 = 0.
-1, 0, 6
Suppose 2*l**3 - 23*l**2/2 + 31*l/2 - 6 = 0. What is l?
3/4, 1, 4
Factor -b**2/3 - 2002*b - 3006003.
-(b + 3003)**2/3
Solve 121*p**4 + 308*p**3 - 827*p**2 - 510*p - 72 = 0.
-4, -3/11, 2
Factor -2*i**2 + 1356*i + 5456.
-2*(i - 682)*(i + 4)
Let -5*f**5/8 - 3*f**4/8 + 17*f**3/8 + 19*f**2/8 - 1/2 = 0. What is f?
-1, 2/5, 2
Suppose 2*k**2/7 + 106*k/7 + 104/7 = 0. Calculate k.
-52, -1
Find d, given that -d**2/3 + d/3 + 4 = 0.
-3, 4
Factor -5*c**2/3 + 35*c/3 + 40/3.
-5*(c - 8)*(c + 1)/3
Factor 4*o**3/7 - 4*o**2 + 4*o + 60/7.
4*(o - 5)*(o - 3)*(o + 1)/7
Factor -2*p**3/9 - 32*p**2/9 - 152*p/9 - 64/3.
-2*(p + 2)*(p + 6)*(p + 8)/9
Factor 5*t**3 + 45*t**2 + 75*t + 35.
5*(t + 1)**2*(t + 7)
Let -3*c**3/2 + 21*c**2/4 + 51*c/4 - 15/2 = 0. Calculate c.
-2, 1/2, 5
Let 9*p**3/7 + 69*p**2 + 1236*p/7 + 612/7 = 0. Calculate p.
-51, -2, -2/3
Factor -3*s**4 - 36*s**3 + 12*s**2 + 144*s.
-3*s*(s - 2)*(s + 2)*(s + 12)
Find d, given that 2*d**3/11 + d**2 + 18*d/11 + 9/11 = 0.
-3, -3/2, -1
Factor -n**3/4 + 204*n**2 - 1620*n + 3232.
-(n - 808)*(n - 4)**2/4
Factor 5*u**4 + 70*u**3 + 175*u**2 - 250*u.
5*u*(u - 1)*(u + 5)*(u + 10)
Factor -2*a**4 + 24*a**3 + 154*a**2 + 264*a + 136.
-2*(a - 17)*(a + 1)*(a + 2)**2
Factor -2*j**2/13 + 188*j/13 - 186/13.
-2*(j - 93)*(j - 1)/13
Let -3*g**2/7 + 309*g/7 - 1188/7 = 0. What is g?
4, 99
Factor -3*v**5 - 15*v**4 + 42*v**3 + 378*v**2 + 729*v + 405.
-3*(v - 5)*(v + 1)*(v + 3)**3
Let -3*v**3 + 225*v**2 + 1242*v - 3360 = 0. Calculate v.
-7, 2, 80
Factor -3*i**5/4 - 3*i**4 - 9*i**3/2 - 3*i**2 - 3*i/4.
-3*i*(i + 1)**4/4
Solve -5*d**4 - 100*d**3 - 500*d**2 = 0 for d.
-10, 0
Suppose -30*i**2 + 4715*i - 785 = 0. Calculate i.
1/6, 157
Find o, given that -2*o**2/9 + 100*o - 11250 = 0.
225
Let 2*c**5 + 2*c**4 - 10*c**3 - 10*c**2 + 8*c + 8 = 0. What is c?
-2, -1, 1, 2
Let o**4 + 14*o**3 - 327*o**2 - 364*o + 676 = 0. Calculate o.
-26, -2, 1, 13
Find a, given that -4*a**4 + 4*a**3 + 12*a**2 - 20*a + 8 = 0.
-2, 1
Factor -2*n**4 - 70*n**3 + 386*n**2 - 554*n + 240.
-2*(n - 3)*(n - 1)**2*(n + 40)
Suppose o**4/4 - o**3 + o**2 = 0. Calculate o.
0, 2
Factor 5*g**2 - 30*g - 135.
5*(g - 9)*(g + 3)
What is q in -3*q**5/4 - 55*q**4/4 - 367*q**3/4 - 1045*q**2/4 - 525*q/2 = 0?
-6, -5, -7/3, 0
Factor 4*j**3/3 - 8*j**2 - 468*j - 2592.
4*(j - 24)*(j + 9)**2/3
Factor -2*k**2/7 + 1192*k/7 - 177608/7.
-2*(k - 298)**2/7
Determine g so that 15*g**5/4 - 17*g**4/2 - 97*g**3/4 + 37*g**2 + 37*g - 12 = 0.
-2, -1, 4/15, 2, 3
Let 6*l**5/7 + 596*l**4/7 + 192*l**3/7 - 596*l**2/7 - 198*l/7 = 0. Calculate l.
-99, -1, -1/3, 0, 1
Determine c so that -2*c**2/7 + 48*c/7 + 962/7 = 0.
-13, 37
Suppose 3*m**4/7 - 3*m**3/7 - 39*m**2/7 + 3*m/7 + 36/7 = 0. What is m?
-3, -1, 1, 4
Factor 2*p**2/3 + 44*p/3 + 14.
2*(p + 1)*(p + 21)/3
Let 3*x**4/2 - 27*x**3 + 291*x**2/2 - 216*x + 96 = 0. What is x?
1, 8
Factor -4*p**3/9 + 16*p**2 - 512*p/3 + 4096/9.
-4*(p - 16)**2*(p - 4)/9
Suppose -4*q**4 - 560*q**3 + 2284*q**2 - 2872*q + 1152 = 0. What is q?
-144, 1, 2
Solve 4*v**4 + 372*v**3 + 364*v**2 - 372*v - 368 = 0 for v.
-92, -1, 1
Let 5*j**3 - 70*j**2 - 80*j + 1120 = 0. Calculate j.
-4, 4, 14
Solve -d**2 + 13*d + 14 = 0 for d.
-1, 14
What is i in 5*i**5 - 320*i**4 - 655*i**3 - 330*i**2 = 0?
-1, 0, 66
Factor 2*w**2/7 + 48*w/7 - 162/7.
2*(w - 3)*(w + 27)/7
Factor -d**3 + 9*d**2 + 66*d + 56.
-(d - 14)*(d + 1)*(d + 4)
Suppose 2*v**3/9 + 10*v**2/9 + 16*v/