80640*s - 40500 = 0?
-225, 1
Suppose -b**4/4 + 17*b**3/4 - 49*b**2/4 - 237*b/4 + 135/2 = 0. Calculate b.
-3, 1, 9, 10
Solve c**5/5 + 9*c**4/5 + 29*c**3/5 + 39*c**2/5 + 18*c/5 = 0 for c.
-3, -2, -1, 0
Solve 5*q**5 - 70*q**4 + 300*q**3 - 350*q**2 - 305*q + 420 = 0 for q.
-1, 1, 3, 4, 7
Factor -2*v**3/9 - 560*v**2/9 - 1102*v/3 - 548.
-2*(v + 3)**2*(v + 274)/9
Factor -4*s**3 + 208*s**2 - 3520*s + 19200.
-4*(s - 20)**2*(s - 12)
Suppose -3*o**4/2 - 154*o**3/5 - 1201*o**2/10 + 336*o/5 + 18 = 0. What is o?
-15, -6, -1/5, 2/3
Factor -2*k**2/3 + 4*k - 6.
-2*(k - 3)**2/3
Determine l, given that -2*l**4/3 - 22*l**3/3 - 52*l**2/3 - 32*l/3 = 0.
-8, -2, -1, 0
Let -2*m**2/3 - 184*m/3 - 728 = 0. Calculate m.
-78, -14
Factor -g**2 + 15*g.
-g*(g - 15)
Solve 5*z**2 - 12425*z - 12430 = 0 for z.
-1, 2486
Suppose -12*a**4/7 - 213*a**3/7 = 0. What is a?
-71/4, 0
Let 4*y**2/5 - 472*y/5 - 192 = 0. Calculate y.
-2, 120
Solve -k**5 - 13*k**4 - 10*k**3 + 24*k**2 = 0.
-12, -2, 0, 1
Let 2*t**5 - 40*t**4 - 546*t**3 - 1584*t**2 - 1080*t = 0. Calculate t.
-6, -3, -1, 0, 30
What is u in 4*u**4 - 16*u**3 - 8*u**2 + 48*u + 36 = 0?
-1, 3
What is i in -75*i**3 - 690*i**2 + 588*i - 120 = 0?
-10, 2/5
What is w in 4*w**4 - 28*w**3 + 60*w**2 - 52*w + 16 = 0?
1, 4
Find a such that -4*a**3 - 24*a**2 - 44*a - 24 = 0.
-3, -2, -1
Let 2*y**2/9 - 38*y/9 = 0. What is y?
0, 19
Determine r so that -5*r**4/3 + 5*r**3 - 10*r**2/3 = 0.
0, 1, 2
Find a, given that 3*a**5 + 360*a**4 - 2229*a**3 + 4878*a**2 - 4524*a + 1512 = 0.
-126, 1, 2
Let -3*d**3 - 720*d**2 - 4239*d - 6318 = 0. What is d?
-234, -3
Find i such that -26*i**2 - 76*i + 6 = 0.
-3, 1/13
Find u, given that 52*u**2 + 16008*u - 2464 = 0.
-308, 2/13
Let f**3 + 12*f**2 - 28*f = 0. What is f?
-14, 0, 2
Find f, given that f**4 + 3*f**3 - 2*f**2 - 12*f - 8 = 0.
-2, -1, 2
Suppose -1458*b**4/5 - 21384*b**3/5 + 7236*b**2/5 - 808*b/5 + 6 = 0. Calculate b.
-15, 1/9
Find p, given that 3*p**3 + 261*p**2 + 513*p + 255 = 0.
-85, -1
Factor -n**5/4 - 9*n**4/4 - 6*n**3 - 4*n**2.
-n**2*(n + 1)*(n + 4)**2/4
Factor k**2 + 587*k - 1178.
(k - 2)*(k + 589)
Solve -2*k**5 - 1026*k**4 - 130038*k**3 + 396290*k**2 - 398352*k + 133128 = 0 for k.
-258, 1
Find j, given that -j**3 - 17*j**2/4 - 4*j - 3/4 = 0.
-3, -1, -1/4
Factor p**3/3 + 103*p**2/3 + 197*p + 291.
(p + 3)**2*(p + 97)/3
Determine p, given that 6*p**5/5 + 10*p**4 + 156*p**3/5 + 228*p**2/5 + 158*p/5 + 42/5 = 0.
-3, -7/3, -1
Factor 5*w**2 - 20.
5*(w - 2)*(w + 2)
Suppose 3*z**3 + 28*z**2 + 9*z = 0. Calculate z.
-9, -1/3, 0
Factor -4*z**2 - 232*z - 228.
-4*(z + 1)*(z + 57)
Factor s**2/3 - 76*s/3 + 73.
(s - 73)*(s - 3)/3
Solve -3*r**2 + 3*r + 18 = 0.
-2, 3
Factor 4*w**4/3 - 37*w**3/3 + 65*w**2/3 - 14*w/3.
w*(w - 7)*(w - 2)*(4*w - 1)/3
Solve -3*r**3 - 33*r**2 + 228*r - 192 = 0 for r.
-16, 1, 4
Solve -4*k**5 + 4*k**4 + 28*k**3 - 4*k**2 - 24*k = 0 for k.
-2, -1, 0, 1, 3
Suppose -2*o**3/11 - 15*o**2/11 - 6*o/11 + 7/11 = 0. Calculate o.
-7, -1, 1/2
Find h such that 5*h**4 + 255*h**3 - 5*h**2 - 255*h = 0.
-51, -1, 0, 1
Find q, given that -2*q**3/17 - 6*q**2/17 - 4*q/17 = 0.
-2, -1, 0
Factor -2*h**2/5 - 56*h/5 - 192/5.
-2*(h + 4)*(h + 24)/5
Let -i**2/5 + 196/5 = 0. What is i?
-14, 14
Find p, given that -45*p**4/7 + 57*p**3/7 + 15*p**2/7 - 3*p - 6/7 = 0.
-2/5, -1/3, 1
Determine k, given that -k**5/4 + 173*k**4/4 - 165*k**3/2 - 1019*k**2/2 - 2389*k/4 - 855/4 = 0.
-1, 5, 171
Factor n**2 + 7*n - 8.
(n - 1)*(n + 8)
Let -y**2/4 - 3*y/4 - 1/2 = 0. What is y?
-2, -1
Factor g**2/5 - 174*g/5 - 35.
(g - 175)*(g + 1)/5
Let 3*h**5 - 2010*h**4 + 451560*h**3 - 34605360*h**2 + 133066800*h - 131292576 = 0. What is h?
2, 222
Solve 9*s**3/2 + 93*s**2/4 - 303*s/2 + 495/4 = 0.
-55/6, 1, 3
Factor -2*a**3/9 - 854*a**2/9 + 2*a/9 + 854/9.
-2*(a - 1)*(a + 1)*(a + 427)/9
Suppose 4*r**3 + 4*r**2 - 8*r = 0. Calculate r.
-2, 0, 1
Find s such that -2*s**2/5 + 12*s/5 + 32/5 = 0.
-2, 8
Factor i**4/4 - i**3/4 - 3*i**2/4 + i/4 + 1/2.
(i - 2)*(i - 1)*(i + 1)**2/4
Let 3*m**5 + 72*m**4 + 486*m**3 + 528*m**2 - 1089*m = 0. Calculate m.
-11, -3, 0, 1
Let m**4 - 16*m**3 - 3*m**2 + 46*m + 32 = 0. Calculate m.
-1, 2, 16
Factor -25*d**4 - 10*d**3 + 100*d**2 + 40*d.
-5*d*(d - 2)*(d + 2)*(5*d + 2)
Factor 2*q**2/3 - 28*q/9 - 160/9.
2*(q - 8)*(3*q + 10)/9
Factor 4*m**2 - 1096*m + 75076.
4*(m - 137)**2
Let 3*s**2 + 540*s + 537 = 0. What is s?
-179, -1
Determine v so that -34*v**2/13 - 514*v/13 - 60/13 = 0.
-15, -2/17
Determine q, given that -4*q**2 + 388*q - 384 = 0.
1, 96
Solve -4*j**5 - 76*j**4 - 564*j**3 - 2052*j**2 - 3672*j - 2592 = 0.
-6, -4, -3
Suppose 4*h**3 + 32*h**2 - 4*h - 32 = 0. Calculate h.
-8, -1, 1
Factor -4*g**2 - 280*g - 4900.
-4*(g + 35)**2
Determine u so that 3*u**4 - 9*u**3 - 42*u**2 + 36*u + 120 = 0.
-2, 2, 5
Suppose 28*c**4/5 - 1828*c**3/5 + 30956*c**2/5 - 7468*c + 8184/5 = 0. What is c?
2/7, 1, 31, 33
Factor -2*l**5/3 - 536*l**4/3.
-2*l**4*(l + 268)/3
Factor -81*j**4 - 1179*j**3 + 536*j**2 - 60*j.
-j*(j + 15)*(9*j - 2)**2
Factor 75*f**4 + 17010*f**3 + 971247*f**2 + 768852*f + 153228.
3*(f + 113)**2*(5*f + 2)**2
Factor 2*k**2/7 - 6*k/7 + 4/7.
2*(k - 2)*(k - 1)/7
Determine o so that 2*o**5/7 - 24*o**3/7 + 32*o**2/7 = 0.
-4, 0, 2
Suppose -3*c**3/2 + 13*c**2/2 - 2*c = 0. Calculate c.
0, 1/3, 4
Let -22*k**4/9 + 116*k**3/3 - 448*k**2/3 - 256*k/9 = 0. Calculate k.
-2/11, 0, 8
Factor -2*b**2 + 6*b - 4.
-2*(b - 2)*(b - 1)
Find r, given that -5*r**2 + 2120*r - 224720 = 0.
212
Factor -4*a**2/5 + 28*a + 296/5.
-4*(a - 37)*(a + 2)/5
What is r in -8*r**4/7 - 22*r**3 + 2778*r**2/7 - 608*r - 1240/7 = 0?
-31, -1/4, 2, 10
Find p, given that -p**2/6 + 5*p/3 + 28/3 = 0.
-4, 14
Determine t, given that 5*t**5 + 30*t**4 - 35*t**3 - 280*t**2 + 180*t + 400 = 0.
-5, -4, -1, 2
Suppose 196*c**2 + 896*c + 1024 = 0. What is c?
-16/7
Determine z so that 2*z**5 + 318*z**4/7 + 1742*z**3/7 - 846*z**2/7 - 1756*z/7 + 528/7 = 0.
-12, -11, -1, 2/7, 1
Solve -4*p**2 + 268*p + 272 = 0.
-1, 68
Factor -4*t**2 + 36*t - 72.
-4*(t - 6)*(t - 3)
Factor 3*f**4/4 + 21*f**3 + 663*f**2/4 + 507*f/2.
3*f*(f + 2)*(f + 13)**2/4
Suppose 39*l**2/7 + 111*l/7 - 18/7 = 0. What is l?
-3, 2/13
Suppose 3*j**5 - 12*j**4 - 288*j**3 + 2688*j**2 - 8448*j + 9216 = 0. What is j?
-12, 4
Find r, given that r**5/4 - 31*r**4/4 + 55*r**3 + 95*r**2 - 224*r - 256 = 0.
-2, -1, 2, 16
Let -4*n**5 + 112*n**4 - 196*n**3 - 312*n**2 = 0. What is n?
-1, 0, 3, 26
Solve 76*t**5 - 8*t**4 - 228*t**3 + 176*t**2 - 16*t = 0.
-2, 0, 2/19, 1
Let -3*w**2/5 - 99*w/5 = 0. Calculate w.
-33, 0
Factor -4*v**4 + 8*v**3 + 124*v**2 + 112*v.
-4*v*(v - 7)*(v + 1)*(v + 4)
Find l such that 2*l**4/11 + 10*l**3/11 - 78*l**2/11 - 18*l/11 + 324/11 = 0.
-9, -2, 3
Factor 45*b**3 + 204*b**2.
3*b**2*(15*b + 68)
Let 2*u**5/3 - 58*u**3/3 + 8*u**2 + 416*u/3 - 128 = 0. What is u?
-4, 1, 3, 4
Let -3*a**2 - 39*a - 108 = 0. Calculate a.
-9, -4
Factor -3*t**3 - 417*t**2 - 408*t + 828.
-3*(t - 1)*(t + 2)*(t + 138)
Suppose -4*y**4 - 2896*y**3 - 527064*y**2 - 1045456*y - 521284 = 0. Calculate y.
-361, -1
Factor 5*i**3 - 160*i**2 + 665*i + 10830.
5*(i - 19)**2*(i + 6)
Factor 3*j**4 + 222*j**3 + 1056*j**2 + 1458*j + 621.
3*(j + 1)**2*(j + 3)*(j + 69)
Let -g**3/2 - 25*g**2 - 131*g/2 + 235 = 0. Calculate g.
-47, -5, 2
Determine v, given that 3*v**2/8 - 39*v + 2565/8 = 0.
9, 95
Factor -2*p**3/5 - 8*p**2/5 + 22*p/5 + 12.
-2*(p - 3)*(p + 2)*(p + 5)/5
Find o, given that 3*o**2/4 + 3*o - 15/4 = 0.
-5, 1
Suppose 21*g**5 - 87*g**4 - 51*g**3 + 303*g**2 - 210*g + 24 = 0. What is g?
-2, 1/7, 1, 4
Determine p, given that p**3 + 73*p**2 + 279*p + 207 = 0.
-69, -3, -1
Determine f so that -3*f**2 - 1035*f + 5250 = 0.
-350, 5
What is c in -2*c**5 - 332*c**4 - 13778*c**3 = 0?
-83, 0
Find f such that -3*f**3 + 909*f**2 + 3672*f + 3684 = 0.
-2, 307
Suppose 3*r**2/4 - 21*r/4 - 45/2 = 0. What is r?
-3, 10
Let -3*a**2/4 - 54*a - 2013/4 = 0. Calculate a.
-61, -11
Factor 3*b**2 + 39*b.
3*b*(b + 13)
Factor -3*z**3 - 366*z**2 - 11163*z.
-3*z*(z + 61)**2
Factor -2*p**5 - 34*p**4 - 156*p**3 - 284*p**2 - 226*p - 66.
-2*(p + 1)**3*(p + 3)*(p + 11)
Find g, given that -g**5/2 + 4*g**4 - 2*g**3 - 40*g**2 + 32*g + 128 = 0.
-2, 4
Solve -5*n**5/4 + 13*n**4/4 + 11*n**3/4 - 13*n**2/4 - 3*n/2 = 0.
-1, -2/5, 0, 1, 3
Find x such that x**3 + 14*x**2 + 53*x + 40 = 0.
-8, -5, -1
Factor -k**4/2 + k**3/2 + 11*k**