 g**4/10 + 1199*g**3/10 + 35880*g**2 - 36000*g = 0 for g.
-600, 0, 1
Let 380*s**2 + 1895*s - 25 = 0. Calculate s.
-5, 1/76
Factor -g**2/5 + 868*g/5 - 188356/5.
-(g - 434)**2/5
Factor -t**3 - 9*t**2 - 15*t + 25.
-(t - 1)*(t + 5)**2
Let 16*c**5 - 20*c**4 - 268*c**3 + 404*c**2 + 492*c - 144 = 0. Calculate c.
-4, -1, 1/4, 3
Factor 4*z**3 - 92*z**2 + 88*z.
4*z*(z - 22)*(z - 1)
Factor -3*r**4 - 39*r**3 + 45*r**2 + 39*r - 42.
-3*(r - 1)**2*(r + 1)*(r + 14)
Solve t**4 - 19*t**3 + 80*t**2 + 100*t = 0.
-1, 0, 10
Find w, given that 25*w**5 - 165*w**4 + 80*w**3 + 60*w**2 = 0.
-2/5, 0, 1, 6
Factor 174*x**2 + 345*x - 6.
3*(x + 2)*(58*x - 1)
Suppose -l**2 - 121*l = 0. Calculate l.
-121, 0
Determine u so that -2*u**5/9 + 4*u**4/3 + 32*u**3/9 - 148*u**2/9 + 18*u - 56/9 = 0.
-4, 1, 7
Factor -4*r**3 + 84*r**2 + 2020*r - 2100.
-4*(r - 35)*(r - 1)*(r + 15)
Suppose 5*k**2/2 - 15*k - 35/2 = 0. Calculate k.
-1, 7
Factor 2*p**2/13 - 2*p.
2*p*(p - 13)/13
Suppose -2*y**2/17 + 158*y/17 - 456/17 = 0. What is y?
3, 76
Factor 217156*y**4 - 421264*y**3 + 191256*y**2 + 12656*y + 196.
4*(y - 1)**2*(233*y + 7)**2
Suppose 5*p**5 - 1112*p**4 + 60929*p**3 + 100126*p**2 + 12992*p - 25088 = 0. Calculate p.
-1, 2/5, 112
Find j such that -4*j**2 - 4*j + 120 = 0.
-6, 5
Let 54*m**3 - 387*m**2 + 507*m/8 - 21/8 = 0. What is m?
1/12, 7
Let -16*k**4 + 52*k**3 - 44*k**2 + 8*k = 0. Calculate k.
0, 1/4, 1, 2
Factor -2*j**2 + 892*j + 2694.
-2*(j - 449)*(j + 3)
Determine r so that -3*r**2 - 29*r - 18 = 0.
-9, -2/3
Let d**4/5 - 41*d**3/5 + 36*d**2/5 + 164*d/5 - 32 = 0. What is d?
-2, 1, 2, 40
Find x, given that -2*x**5 - 14*x**4 + 38*x**3 + 14*x**2 - 36*x = 0.
-9, -1, 0, 1, 2
Let 3*h**5/4 + 5*h**4/4 - 19*h**3/4 - 17*h**2/4 + 4*h + 3 = 0. Calculate h.
-3, -1, -2/3, 1, 2
Find f, given that 2*f**3/17 + 958*f**2/17 + 224*f + 3800/17 = 0.
-475, -2
Determine w so that -21*w**4/5 - 18*w**3/5 + 84*w**2/5 + 72*w/5 = 0.
-2, -6/7, 0, 2
Factor -t**2/6 + 67*t/6 - 308/3.
-(t - 56)*(t - 11)/6
Solve 3*k**2 + 36*k - 84 = 0.
-14, 2
Solve 2*f**3 - 2*f**2 - 288*f + 288 = 0.
-12, 1, 12
Solve 2*l**3/3 - 10*l**2 - 78*l - 126 = 0 for l.
-3, 21
Factor -4*r**3 + 64*r**2 - 112*r.
-4*r*(r - 14)*(r - 2)
Factor -l**2/3 - 4*l - 11/3.
-(l + 1)*(l + 11)/3
Factor 2*v**3/15 + 38*v**2/5 + 316*v/15 - 144/5.
2*(v - 1)*(v + 4)*(v + 54)/15
Determine y so that -2*y**5/13 + 18*y**4/13 + 70*y**3/13 + 30*y**2/13 - 68*y/13 - 48/13 = 0.
-2, -1, 1, 12
Factor 3*t**3/7 + 306*t**2/7 - 135*t.
3*t*(t - 3)*(t + 105)/7
Factor -2*p**2 + 458*p + 460.
-2*(p - 230)*(p + 1)
Find q such that 5*q**4 - 258*q**3 + 148*q**2 + 258*q - 153 = 0.
-1, 3/5, 1, 51
Find m such that 3*m**2 - 636*m + 33708 = 0.
106
Let 4*l**3 - 1476*l**2 + 136896*l - 135424 = 0. What is l?
1, 184
Suppose 5*k**3 + 5*k**2 - 725*k + 715 = 0. What is k?
-13, 1, 11
Solve -2*r**2/7 + 218*r/7 - 2976/7 = 0.
16, 93
Factor -2*l**2/3 - 328*l/3 + 664/3.
-2*(l - 2)*(l + 166)/3
Solve -3*f**2/4 + 147*f/4 - 351 = 0.
13, 36
Factor 2*a**3/3 + 14*a**2 + 80*a + 200/3.
2*(a + 1)*(a + 10)**2/3
Determine z so that 7070281*z**2/6 - 10636*z/3 + 8/3 = 0.
4/2659
Determine r, given that 3*r**5/4 + 597*r**4/4 + 40377*r**3/4 + 978315*r**2/4 + 861900*r + 823875 = 0.
-65, -2
Find b, given that 3*b**4 + 27*b**3 - 48*b**2 - 180*b = 0.
-10, -2, 0, 3
Solve 3*i**3 + 150*i**2 - 309*i + 156 = 0.
-52, 1
Factor -3*b**3 - 270*b**2 - 4851*b - 24684.
-3*(b + 11)**2*(b + 68)
Find r such that r**3/4 + 985*r**2/4 + 5883*r/4 + 8811/4 = 0.
-979, -3
Solve 588*j**4/5 + 747*j**3/5 - 279*j**2/5 - 447*j/5 - 9/5 = 0.
-1, -1/49, 3/4
Factor -3*a**4 + 9*a**3 - 6*a**2.
-3*a**2*(a - 2)*(a - 1)
Factor 2*w**2/3 + 118*w/3.
2*w*(w + 59)/3
Solve 45*p**5 + 750*p**4 + 2330*p**3 + 2480*p**2 + 985*p + 130 = 0 for p.
-13, -2, -1, -1/3
Suppose s**3/2 + 257*s**2/2 + 16891*s/2 + 48387/2 = 0. Calculate s.
-127, -3
Suppose 4*a**5 - 76*a**4 + 192*a**3 = 0. What is a?
0, 3, 16
Determine y so that 140*y**2 - 415*y - 15 = 0.
-1/28, 3
Factor -k**3/2 - 117*k**2 + 475*k/2 + 354.
-(k - 3)*(k + 1)*(k + 236)/2
Solve -2*x**3/11 + 4*x**2 - 250*x/11 + 208/11 = 0.
1, 8, 13
Solve 3*x**3 - 804*x**2 - 1617*x - 810 = 0 for x.
-1, 270
Let -22*k**5/7 - 82*k**4/7 - 86*k**3/7 - 2*k**2 + 12*k/7 = 0. What is k?
-2, -1, 0, 3/11
Solve k**2/3 - 262*k/3 + 259 = 0 for k.
3, 259
Solve s**5/6 - 8*s**4/3 + 7*s**3/3 + 8*s**2/3 - 5*s/2 = 0.
-1, 0, 1, 15
Solve -2*k**4/5 + 40*k**3 - 6912*k**2/5 + 90112*k/5 - 262144/5 = 0 for k.
4, 32
Factor 2*a**3/13 - 4*a**2 + 280*a/13 + 784/13.
2*(a - 14)**2*(a + 2)/13
Suppose -7*x**5 + x**4 + 14*x**3 - 2*x**2 - 7*x + 1 = 0. What is x?
-1, 1/7, 1
Suppose c**3 - 15031*c**2 + 56490255*c - 56475225 = 0. Calculate c.
1, 7515
Factor 2*t**5/7 - 270*t**3/7 + 540*t**2/7 + 9720*t/7 - 34992/7.
2*(t - 6)**3*(t + 9)**2/7
Factor 27*f**3/2 + 2709*f**2/2 + 1788*f + 594.
3*(f + 99)*(3*f + 2)**2/2
Factor -4*d**4 - 3582*d**3/7 - 114432*d**2/7 + 8192*d/7.
-2*d*(d + 64)**2*(14*d - 1)/7
Solve 123*r**2/2 - 117*r/2 - 3 = 0.
-2/41, 1
What is b in 4*b**5 + 212*b**4 + 3464*b**3 + 17608*b**2 + 33396*b + 19044 = 0?
-23, -3, -1
Factor -18*n**2 - 22*n - 4.
-2*(n + 1)*(9*n + 2)
Factor 3*v**4 + 384*v**3 + 7182*v**2 + 48216*v + 110103.
3*(v + 7)**3*(v + 107)
Find i, given that -25*i**4 - 4340*i**3 + 1740*i**2 = 0.
-174, 0, 2/5
Factor -u**2 + 110*u - 3009.
-(u - 59)*(u - 51)
Factor -4*a**3 - 212*a**2.
-4*a**2*(a + 53)
What is n in -4*n**3 - 372*n**2 - 10080*n - 63504 = 0?
-42, -9
Factor -2*r**2 - 182*r.
-2*r*(r + 91)
Determine i so that 5*i**5 - 15*i**4 - 120*i**3 + 400*i**2 = 0.
-5, 0, 4
Determine d so that d**2 - 255*d - 774 = 0.
-3, 258
What is m in -2*m**2/11 + 14*m/11 - 24/11 = 0?
3, 4
Factor -h**2/8 - 23*h/2 - 529/2.
-(h + 46)**2/8
Determine p, given that -2*p**3 - 328*p**2 - 326*p = 0.
-163, -1, 0
Factor 4*g**3 - 12*g**2 - 16*g + 48.
4*(g - 3)*(g - 2)*(g + 2)
Let -m**4 - m**3 + 3*m**2/4 + m/2 - 1/4 = 0. Calculate m.
-1, 1/2
Factor -2*b**4/11 + 142*b**3/11 - 2448*b**2/11 - 2592*b/11.
-2*b*(b - 36)**2*(b + 1)/11
Factor -5*j**4/3 - 137*j**3/3 - 896*j**2/3 + 196*j.
-j*(j + 14)**2*(5*j - 3)/3
Determine h so that -3*h**5 - 105*h**4 - 102*h**3 = 0.
-34, -1, 0
Suppose 4*w**5 + 84*w**4 + 552*w**3 + 1192*w**2 + 1044*w + 324 = 0. What is w?
-9, -1
Let -2*c**5/5 + 12*c**4/5 - 2*c**3 - 48*c**2/5 + 72*c/5 = 0. Calculate c.
-2, 0, 2, 3
Solve 3*g**5/5 + 99*g**4/5 - 6*g**3/5 - 198*g**2/5 + 3*g/5 + 99/5 = 0.
-33, -1, 1
Solve -4*q**4/9 + 104*q**3/9 - 92*q**2/3 = 0 for q.
0, 3, 23
Factor 5*r**5 + 15*r**4 - 80*r**3 + 60*r**2.
5*r**2*(r - 2)*(r - 1)*(r + 6)
Factor -12*q**3 - 464*q**2 - 732*q + 296.
-4*(q + 2)*(q + 37)*(3*q - 1)
Determine z, given that -5*z**4 + 135*z**3 - 105*z**2 - 635*z - 390 = 0.
-1, 3, 26
What is d in -d**3/10 - 19*d**2/2 + 48*d/5 = 0?
-96, 0, 1
Determine y so that 2*y**3/13 - 374*y**2/13 + 20496*y/13 - 268128/13 = 0.
19, 84
Factor 2*v**3 - 456*v**2/5 - 1654*v/5 - 588/5.
2*(v - 49)*(v + 3)*(5*v + 2)/5
Suppose -39*h**5 + 111*h**4 - 21*h**3 - 123*h**2 + 60*h + 12 = 0. What is h?
-1, -2/13, 1, 2
Factor -12*y**3 + 24892*y**2 - 8296*y.
-4*y*(y - 2074)*(3*y - 1)
What is g in -4*g**5/9 - 4*g**4/9 + 16*g**3/9 + 16*g**2/9 = 0?
-2, -1, 0, 2
Find p such that 2*p**3 - 16*p**2 - 10*p + 168 = 0.
-3, 4, 7
What is p in -p**3 - 10*p**2 - 17*p + 28 = 0?
-7, -4, 1
Factor -18*m**2/5 - 2*m + 8/5.
-2*(m + 1)*(9*m - 4)/5
Solve -5*i**3 - 15*i**2 - 10*i = 0 for i.
-2, -1, 0
Determine d so that -2*d**3/21 - 2*d**2 - 66*d/7 + 242/21 = 0.
-11, 1
Find n such that n**2/4 - 13*n/4 - 7/2 = 0.
-1, 14
Factor w**5 - 24*w**4 + 210*w**3 - 784*w**2 + 1029*w.
w*(w - 7)**3*(w - 3)
Factor j**3/3 - 11*j**2/3 + 26*j/3 - 16/3.
(j - 8)*(j - 2)*(j - 1)/3
Factor -s**2/10 + 2956*s/5 - 4368968/5.
-(s - 2956)**2/10
Suppose 2*b**2/9 + 398*b/9 - 268/3 = 0. What is b?
-201, 2
Factor 4*z**4/5 - 8*z**3/5 - 12*z**2/5.
4*z**2*(z - 3)*(z + 1)/5
Solve -3*q**4/4 + 3*q**3 + 9*q**2/4 - 27*q/2 = 0 for q.
-2, 0, 3
Factor y**2 + 120*y + 3600.
(y + 60)**2
Let 3*p**2 + 432*p + 15552 = 0. What is p?
-72
Let -48*f**5 + 68*f**4 + 964*f**3 - 420*f**2 - 484*f - 80 = 0. Calculate f.
-4, -1/3, -1/4, 1, 5
Factor 2*w**5 - 8*w**4 - 20*w**3 + 56*w**2 - 30*w.
2*w*(w - 5)*(w - 1)**2*(w + 3)
Suppose -2*h**4/5 - 8*h**3/5 - 8*h**2/5 = 0. What is h?
-2, 0
Find a such that -3*a**5/7 - 3*a**4/7 + 96*a**3/7 + 408*a**2/7 + 624*a/7 + 48 = 0.
-2, 7
Suppose 3*t**3 - 105*