2 + 20*k = 0. What is k?
0, 20
Factor 2*g**2 + 644*g - 646.
2*(g - 1)*(g + 323)
Suppose 2*a**4/15 + 172*a**3/3 = 0. What is a?
-430, 0
Factor -5*u**3 - 20*u**2 - 15*u.
-5*u*(u + 1)*(u + 3)
Solve -b**4/8 - 9*b**3/4 - 14*b**2 - 135*b/4 - 175/8 = 0 for b.
-7, -5, -1
Factor -3*d**2/4 + 27*d/4 - 27/2.
-3*(d - 6)*(d - 3)/4
What is l in l**2 - 21*l + 38 = 0?
2, 19
Suppose 2*d**3/7 + 26*d**2/7 - 32*d/7 - 8 = 0. What is d?
-14, -1, 2
Determine k, given that 2*k**2/9 + 8*k/9 = 0.
-4, 0
Factor 6*r**4/7 + 172*r**3 + 2402*r**2/21 + 400*r/21.
2*r*(r + 200)*(3*r + 1)**2/21
Suppose 2*x**2/15 - 2*x/3 - 4/5 = 0. Calculate x.
-1, 6
Factor -748*l**2/9 - 4492*l/9 - 8/3.
-4*(l + 6)*(187*l + 1)/9
Let -2*m**4 - 197*m**3/2 + 355*m**2/2 - 103*m/2 - 51/2 = 0. What is m?
-51, -1/4, 1
Let -2*z**4/11 + 240*z**3/11 - 6704*z**2/11 - 29760*z/11 - 30752/11 = 0. What is z?
-2, 62
Factor 4*o**2 - 232*o + 3364.
4*(o - 29)**2
Factor 2*z**2 - 224*z + 6272.
2*(z - 56)**2
Solve 4*d**4 - 8*d**3 - 16*d**2 + 8*d + 12 = 0.
-1, 1, 3
Determine n so that -n**2 + 11*n + 26 = 0.
-2, 13
Solve -16*h**2 + 44*h + 12 = 0.
-1/4, 3
Solve -2*n**3 - 36*n**2 + 4640*n = 0.
-58, 0, 40
Find q such that 21*q**4 + 170*q**3 - 173*q**2 - 18*q = 0.
-9, -2/21, 0, 1
Let b**3/9 - 4*b**2/9 + 5*b/9 - 2/9 = 0. What is b?
1, 2
Find y, given that y**4 + 102*y**3 + 3240*y**2 + 23328*y - 279936 = 0.
-36, 6
Let -2*p**5/17 - 222*p**4/17 - 4796*p**3/17 + 77244*p**2/17 - 139202*p/17 + 66978/17 = 0. Calculate p.
-61, 1, 9
Factor 2*q**5/7 - 2*q**3/7.
2*q**3*(q - 1)*(q + 1)/7
Find m, given that 2*m**3/9 - 160*m**2/9 - 326*m/9 - 164/9 = 0.
-1, 82
Determine q, given that 4*q**4 - 24*q**3 + 20*q**2 = 0.
0, 1, 5
Find m, given that 3*m**2 + 354*m - 1089 = 0.
-121, 3
Factor -5*g**3 - 5710*g**2 + 5725*g + 11430.
-5*(g - 2)*(g + 1)*(g + 1143)
Factor -2*k**2/5 + 492*k/5 - 30258/5.
-2*(k - 123)**2/5
Factor 2*d**2/7 - 1950*d/7 - 1952/7.
2*(d - 976)*(d + 1)/7
What is a in -3*a**2 - 177*a + 2310 = 0?
-70, 11
Suppose 24*x**4 + 12*x**3 - 54*x**2 + 33*x - 6 = 0. What is x?
-2, 1/2
What is c in 8*c**4 - 86*c**3 - 22*c**2 = 0?
-1/4, 0, 11
Let -y**3/7 - 88*y**2/7 - 173*y/7 - 86/7 = 0. Calculate y.
-86, -1
Factor 2*v**3/17 + 20*v**2/17 + 14*v/17 - 36/17.
2*(v - 1)*(v + 2)*(v + 9)/17
Determine j, given that -2*j**3/9 + 1796*j**2/9 + 7210*j/9 + 1804/3 = 0.
-3, -1, 902
Factor l**2 + 64*l + 183.
(l + 3)*(l + 61)
Let 3*h**4 - 126*h**3 + 372*h**2 + 3096*h + 3648 = 0. What is h?
-2, 8, 38
Solve 3*g**4/2 - 57*g**3/2 + 195*g**2/2 - 231*g/2 + 45 = 0 for g.
1, 2, 15
Determine q, given that -22*q**3/9 + 488*q**2/9 + 4378*q/9 - 812/9 = 0.
-7, 2/11, 29
Factor 4*u**2 - 216*u - 448.
4*(u - 56)*(u + 2)
Solve 25*u**5 - 210*u**4 + 205*u**3 + 300*u**2 - 140*u = 0 for u.
-1, 0, 2/5, 2, 7
Factor 3*r**4 + 12*r**3 - 15*r**2.
3*r**2*(r - 1)*(r + 5)
Solve 4*x**4/9 + 140*x**3/9 - 148*x**2/9 - 140*x/9 + 16 = 0.
-36, -1, 1
Factor 2*u**5/3 - 712*u**4/3 + 88904*u**3/3 - 4382336*u**2/3 + 63723520*u/3 - 280985600/3.
2*(u - 112)**3*(u - 10)**2/3
Factor -4*y**3 - 108*y**2 + 4*y + 108.
-4*(y - 1)*(y + 1)*(y + 27)
Let 2*k**2 + 66*k + 180 = 0. Calculate k.
-30, -3
Factor -3*r**2 - 447*r + 450.
-3*(r - 1)*(r + 150)
Find x such that -x**2/2 - 83*x/2 + 85 = 0.
-85, 2
Factor -r**2/7 - 135*r/7.
-r*(r + 135)/7
Factor 5*y**5 - 120*y**4 - 140*y**3 + 350*y**2 + 615*y + 250.
5*(y - 25)*(y - 2)*(y + 1)**3
Factor 48*i**4 - 24*i**3 - 309*i**2 - 147*i - 18.
3*(i - 3)*(i + 2)*(4*i + 1)**2
Factor -3*d**2/2 - 102*d + 207/2.
-3*(d - 1)*(d + 69)/2
Factor -3*a**2 - 60*a - 300.
-3*(a + 10)**2
Determine x so that 10*x**5 - 37*x**4 + 78*x**3/5 + 89*x**2/5 - 4*x - 12/5 = 0.
-2/5, 1/2, 1, 3
Factor -10*r**2/7 + 474*r/7 - 188/7.
-2*(r - 47)*(5*r - 2)/7
Factor -3*d**4 + 78*d**3 - 423*d**2 - 1092*d - 588.
-3*(d - 14)**2*(d + 1)**2
Factor -3*d**2 + 2082*d - 361227.
-3*(d - 347)**2
Let -2*c**4 + 4*c**2 - 2 = 0. What is c?
-1, 1
Suppose 182*p**5/5 - 206*p**4/5 - 712*p**3/5 + 832*p**2/5 - 64*p/5 - 32/5 = 0. What is p?
-2, -2/13, 2/7, 1, 2
Factor 14*a**4/3 - 120*a**3 + 754*a**2 + 676*a/3.
2*a*(a - 13)**2*(7*a + 2)/3
Factor -o**2/5 - 61*o/5.
-o*(o + 61)/5
Factor 2*l**4 + 34*l**3 + 32*l**2.
2*l**2*(l + 1)*(l + 16)
Factor -i**5/3 - 10*i**4/3 - 7*i**3.
-i**3*(i + 3)*(i + 7)/3
Factor -3*d**3 - 165*d**2/2 + 42*d.
-3*d*(d + 28)*(2*d - 1)/2
Determine l so that -12*l**5 - 27*l**4 + 30*l**3 + 9*l**2 = 0.
-3, -1/4, 0, 1
Determine o so that -2*o**4 + 88*o**3 - 166*o**2 - 88*o + 168 = 0.
-1, 1, 2, 42
Factor -5*r**3 + 8925*r**2 - 3978315*r - 3987245.
-5*(r - 893)**2*(r + 1)
Find z, given that -2*z**5/11 + 4*z**4/11 - 2*z**3/11 = 0.
0, 1
Factor -z**4/5 + 23*z**3/5 - 93*z**2/5 - 91*z - 338/5.
-(z - 13)**2*(z + 1)*(z + 2)/5
Solve 2*w**3 - 12*w**2 - 14*w = 0 for w.
-1, 0, 7
Solve 4*f**2 - 1704*f + 181476 = 0.
213
Factor -2*g**5/13 + 16*g**4/13 + 16*g**3/13 - 192*g**2/13 - 288*g/13.
-2*g*(g - 6)**2*(g + 2)**2/13
Suppose -2*j**3/3 + 14*j**2 = 0. Calculate j.
0, 21
Suppose 3*t**4/2 - 1279*t**3 - 3417*t**2/2 + 426*t + 854 = 0. Calculate t.
-1, 2/3, 854
Suppose 2*o**3 + 864*o**2 + 124416*o + 5971968 = 0. What is o?
-144
Find q such that 5*q**4 + 142*q**3 + 191*q**2 + 54*q = 0.
-27, -1, -2/5, 0
Factor 90*i**4 - 724*i**3 + 1382*i**2 - 60*i.
2*i*(i - 5)*(i - 3)*(45*i - 2)
Factor -2*b**3/5 - 99*b**2/5 + 258*b/5 - 104/5.
-(b - 2)*(b + 52)*(2*b - 1)/5
Suppose -g**3 + 214*g**2 - 11009*g - 47524 = 0. What is g?
-4, 109
Determine i, given that 1058*i**3 + 256128*i**2 + 22266*i + 484 = 0.
-242, -1/23
Factor -5*s**4 - 20*s**3 + 5*s**2 + 20*s.
-5*s*(s - 1)*(s + 1)*(s + 4)
Solve 2*t**3/7 + 880*t**2/7 + 2626*t/7 + 1748/7 = 0.
-437, -2, -1
Find s such that -4*s**5/7 - 4*s**4/7 + 24*s**3/7 - 8*s**2/7 - 20*s/7 + 12/7 = 0.
-3, -1, 1
Factor -3*v**4/7 - 15*v**3/7 + 6*v**2/7 + 72*v/7.
-3*v*(v - 2)*(v + 3)*(v + 4)/7
Let -3*f**2/2 + 75*f/2 - 126 = 0. Calculate f.
4, 21
Factor -u**3/4 - 73*u**2/4 - 53*u - 35.
-(u + 1)*(u + 2)*(u + 70)/4
Factor -72*c**2 - 390*c - 4225/8.
-(24*c + 65)**2/8
Factor 3*k**3 - 42*k**2 - 1263*k - 1218.
3*(k - 29)*(k + 1)*(k + 14)
Factor -2*w**2/7 + 22*w/7 + 52/7.
-2*(w - 13)*(w + 2)/7
Factor 3*a**4/5 - 3*a**3/5 - 27*a**2/5 - 33*a/5 - 12/5.
3*(a - 4)*(a + 1)**3/5
Let 3*i**2 + 96*i - 204 = 0. What is i?
-34, 2
Factor -3*s**4 - 129*s**3 - 360*s**2 + 12*s + 480.
-3*(s - 1)*(s + 2)**2*(s + 40)
Determine q, given that -2*q**5/15 + 32*q**4/5 - 182*q**3/15 - 32*q**2/5 + 184*q/15 = 0.
-1, 0, 1, 2, 46
Factor -f**5/2 + 77*f**4/2 - 760*f**3 + 722*f**2.
-f**2*(f - 38)**2*(f - 1)/2
Let 2*d**2 - 7172*d + 6429698 = 0. What is d?
1793
Solve -w**5/4 - 14*w**4 + 153*w**3/2 + 14*w**2 - 305*w/4 = 0.
-61, -1, 0, 1, 5
Find x, given that 3*x**3/5 - 9*x**2/5 - 12*x/5 = 0.
-1, 0, 4
Factor 3*q**2 + 6*q - 24.
3*(q - 2)*(q + 4)
Suppose 10*k**5 + 5*k**4 - 20*k**3 - 10*k**2 + 10*k + 5 = 0. Calculate k.
-1, -1/2, 1
Solve d**3 - 58*d**2 - 183*d = 0 for d.
-3, 0, 61
Factor 85*b**3 + 265*b**2 + 30*b.
5*b*(b + 3)*(17*b + 2)
Factor 4*n**2/5 - 96*n/5 - 20.
4*(n - 25)*(n + 1)/5
Find b, given that -3*b**3/4 + 12*b**2 - 75*b/4 - 63/2 = 0.
-1, 3, 14
Let -20*j**4 - 80*j**3 - 25*j**2 + 125*j = 0. What is j?
-5/2, 0, 1
Determine b so that b**4 - 5*b**3 = 0.
0, 5
Suppose -3*o**4/4 - 177*o**3/4 - 87*o**2/2 = 0. What is o?
-58, -1, 0
Solve 2*c**4/13 + 50*c**3/13 + 124*c**2/13 - 200*c/13 - 528/13 = 0.
-22, -3, -2, 2
Find x, given that -x**3/3 + 83*x**2/3 + 344*x/3 + 116 = 0.
-2, 87
Determine s, given that -8*s**4/25 - 96*s**3/25 - 18*s**2/5 - 22*s/25 = 0.
-11, -1/2, 0
Let u**3/2 + 19*u**2/2 - u/2 - 19/2 = 0. What is u?
-19, -1, 1
Suppose 5*n**3 - 886*n**2 + 1057*n - 176 = 0. What is n?
1/5, 1, 176
Factor 2*g**3/3 + 400*g**2 + 1592*g + 4768/3.
2*(g + 2)**2*(g + 596)/3
Factor -2*x**2/17 + 4*x - 34.
-2*(x - 17)**2/17
Determine j, given that 32*j**3/7 - 144*j**2/7 + 30*j - 100/7 = 0.
5/4, 2
Determine u, given that 4*u**4 - 80*u**3 - 368*u**2 - 384*u = 0.
-2, 0, 24
Factor 2*o**2 - 222*o - 452.
2*(o - 113)*(o + 2)
Let -2*r**3/3 - 18*r**2 + 200*r/3 + 200 = 0. Calculate r.
-30, -2, 5
Factor -3*l**3 + 33*l**2 + 12*l - 132.
-3*(l - 11)*(l - 2)*(l + 2)
Factor -2*n**4 - 14*n**3 + 24*n**2 + 200*n + 224.
-2*(n - 4)*(n + 2)**2*(n + 7)
Find o such that -4*o**5 - 176*o**4 - 2544*o**3 - 12440*o**2 - 5644*o + 20808 = 0.
-17, -9, -2, 1
What is c in -5*c**5/2 - c**4 + 25*c**3/2 + 5*c**2 - 10*c - 4 = 0