)**3/11
Find r such that -102*r**5/5 + 4*r**4/5 + 102*r**3/5 - 4*r**2/5 = 0.
-1, 0, 2/51, 1
Determine t so that -5*t**5 + 110*t**4 + 275*t**3 - 860*t**2 + 480*t = 0.
-4, 0, 1, 24
Determine x, given that 2*x**5/11 - 14*x**4/11 + 14*x**3/11 + 38*x**2/11 - 32*x/11 - 40/11 = 0.
-1, 2, 5
Factor -2*u**2/17 + 12*u/17 - 18/17.
-2*(u - 3)**2/17
Solve -2*i**3/7 + 488*i**2/7 - 4182*i - 60516/7 = 0.
-2, 123
Factor -2*f**3/9 + 28*f**2/9 - 112*f/9 + 128/9.
-2*(f - 8)*(f - 4)*(f - 2)/9
Factor 15*i**2 - 2230*i + 1480.
5*(i - 148)*(3*i - 2)
Factor k**4/4 - 5*k**3/2 - 9*k**2 - 19*k/2 - 13/4.
(k - 13)*(k + 1)**3/4
Factor g**2 + 262*g - 528.
(g - 2)*(g + 264)
Factor 2*x**3/9 + 4*x**2 - 218*x/9 + 92/3.
2*(x - 3)*(x - 2)*(x + 23)/9
Let 3*l**4 + 12*l**3 - 45*l**2 - 174*l - 120 = 0. What is l?
-5, -2, -1, 4
Factor m**4 + 8*m**3 - 235*m**2 - 494*m.
m*(m - 13)*(m + 2)*(m + 19)
Let -x**2 - 29*x + 30 = 0. What is x?
-30, 1
Determine o, given that -2*o**4/21 + 10*o**3/7 + 104*o**2/21 + 24*o/7 = 0.
-2, -1, 0, 18
Factor -5*a**3 - 20*a**2 + 355*a - 330.
-5*(a - 6)*(a - 1)*(a + 11)
Suppose w**3/3 + w**2/3 - 5*w/3 + 1 = 0. Calculate w.
-3, 1
Factor -3*r**2 + 294*r - 7203.
-3*(r - 49)**2
Factor -u**3 + 77*u**2 - 931*u + 3087.
-(u - 63)*(u - 7)**2
Factor -3*o**3 + 15*o**2 - 21*o + 9.
-3*(o - 3)*(o - 1)**2
Let -2*d**5 - 2*d**4 + 26*d**3 + 2*d**2 - 24*d = 0. Calculate d.
-4, -1, 0, 1, 3
Factor -4*l**3 - 308*l**2 + 3136*l + 3440.
-4*(l - 10)*(l + 1)*(l + 86)
Solve -2*k**3/3 + 2*k**2/3 + 4*k = 0.
-2, 0, 3
Solve -2*f**4/9 - 12*f**3 - 550*f**2/3 - 5000*f/9 = 0 for f.
-25, -4, 0
Solve f**3/2 - 15*f**2/2 = 0 for f.
0, 15
Find n, given that 3*n**2 + 609*n + 606 = 0.
-202, -1
Solve -5*k**2 + 285*k + 590 = 0 for k.
-2, 59
Factor 215*l**3 - 815*l**2 - 180*l.
5*l*(l - 4)*(43*l + 9)
Suppose -5*m**2 + 230*m - 2645 = 0. What is m?
23
Determine a so that 4*a**4 - 464*a**3 + 1352*a**2 + 464*a - 1356 = 0.
-1, 1, 3, 113
Factor -2*i**4/11 - 34*i**3/11 - 144*i**2/11.
-2*i**2*(i + 8)*(i + 9)/11
Suppose 188498*g**3/7 - 186042*g**2/7 - 2448*g/7 - 8/7 = 0. Calculate g.
-2/307, 1
Determine m, given that 2*m**2 - 3968*m + 1968128 = 0.
992
Factor 3*s**2 + 45*s + 150.
3*(s + 5)*(s + 10)
Factor -r**4 - 15*r**3 - 13*r**2 + 15*r + 14.
-(r - 1)*(r + 1)**2*(r + 14)
Find p such that 2*p**3/3 + 26*p**2/3 + 64*p/3 + 40/3 = 0.
-10, -2, -1
Factor 7*a**5/2 + 26*a**4 + 147*a**3/2 + 97*a**2 + 58*a + 12.
(a + 1)*(a + 2)**3*(7*a + 3)/2
Determine a so that -a**3/4 + 39*a**2/4 - 55*a/2 + 18 = 0.
1, 2, 36
Solve -20*i**4 - 635*i**3 - 4960*i**2 + 1280*i = 0.
-16, 0, 1/4
Factor 2*d**3/3 - 242*d + 5324/3.
2*(d - 11)**2*(d + 22)/3
Factor t**3/3 + 49*t**2/3 - 50*t/3.
t*(t - 1)*(t + 50)/3
Suppose -3*b**2/4 - 105*b/4 + 27 = 0. What is b?
-36, 1
Factor j**3/2 + 31*j**2/2 + 319*j/2 + 1089/2.
(j + 9)*(j + 11)**2/2
What is l in -l**2/3 + 5*l + 34/3 = 0?
-2, 17
Factor 11*r**3/3 + 23*r**2/3 + 4*r.
r*(r + 1)*(11*r + 12)/3
Factor 15*g**3 - 980*g**2 - 665*g + 330.
5*(g - 66)*(g + 1)*(3*g - 1)
Factor 3*m**2 + 168*m + 2352.
3*(m + 28)**2
Factor 92*a**3 - 928*a**2/5 + 16*a/5.
4*a*(a - 2)*(115*a - 2)/5
What is q in 15*q**4/4 - 8*q**3 - 221*q**2/4 + 285*q/2 - 18 = 0?
-4, 2/15, 3
Find a such that 36*a**3 - 2224*a**2 + 3824*a + 960 = 0.
-2/9, 2, 60
Determine d, given that d**3/7 + 163*d**2 + 1138*d/7 - 2280/7 = 0.
-1140, -2, 1
Factor -3*m**2/5 + 546*m/5 + 549/5.
-3*(m - 183)*(m + 1)/5
Solve -2*z**3/9 + 220*z**2/3 - 6050*z = 0 for z.
0, 165
Factor 2*d**3/21 - 6*d**2/7 + 40*d/21 - 8/7.
2*(d - 6)*(d - 2)*(d - 1)/21
What is o in 4*o**5 + 464*o**4 + 12004*o**3 - 83480*o**2 + 174704*o - 119072 = 0?
-61, 2
Let 12*d**5 - 1816*d**4 + 568*d**3 + 5424*d**2 + 1820*d - 1208 = 0. Calculate d.
-1, 1/3, 2, 151
Factor -5*w**3 + 895*w**2 + 3640*w + 3660.
-5*(w - 183)*(w + 2)**2
Factor 2*i**4/7 - 4*i**3 + 122*i**2/7 - 24*i + 72/7.
2*(i - 6)**2*(i - 1)**2/7
Factor 4*v**2 - 72*v - 160.
4*(v - 20)*(v + 2)
Solve 5*d**3 - 105*d**2 + 595*d - 495 = 0.
1, 9, 11
Factor -3*d**4/7 - 60*d**3/7 + 207*d**2/7.
-3*d**2*(d - 3)*(d + 23)/7
Factor -4*g**3 - 20*g**2 - 28*g - 12.
-4*(g + 1)**2*(g + 3)
Let -3*u**2/8 + 594*u - 235224 = 0. What is u?
792
Factor 2*x**2/23 + 8*x + 870/23.
2*(x + 5)*(x + 87)/23
Solve -4*y**3 + 556*y**2 - 1100*y + 548 = 0.
1, 137
Suppose 3*a**4 - 8*a**3 - 57*a**2 + 102*a + 40 = 0. What is a?
-4, -1/3, 2, 5
Suppose -2*h**2/9 - 16*h/3 - 30 = 0. Calculate h.
-15, -9
Determine f, given that 14*f**5 - 10*f**4 - 74*f**3 - 62*f**2 - 12*f = 0.
-1, -2/7, 0, 3
Solve -2*z**4/3 - 4*z**3 + 262*z**2/3 + 280*z - 9800/3 = 0 for z.
-10, 7
Solve 3*v**3 - 588*v**2 + 28215*v + 58806 = 0.
-2, 99
Find u such that 2*u**2/7 - 152*u/7 + 2888/7 = 0.
38
Factor -3*v**2/4 - 15*v/4 + 132.
-3*(v - 11)*(v + 16)/4
Determine p so that 5*p**4/4 + 63*p**3/4 + 31*p**2/4 - 63*p/4 - 9 = 0.
-12, -1, -3/5, 1
Solve 3*s**2/2 + 1761*s/2 + 1755 = 0 for s.
-585, -2
Factor -5*j**3 + 190*j**2 - 1980*j + 3240.
-5*(j - 18)**2*(j - 2)
Factor -4*q**2 + 152*q/3 + 52/3.
-4*(q - 13)*(3*q + 1)/3
Factor 2*y**2 + 70*y + 468.
2*(y + 9)*(y + 26)
Factor -i**3 - 486*i**2 - 78732*i - 4251528.
-(i + 162)**3
Factor -s**4/3 + 2*s**3/3 + s**2 - 8*s/3 + 4/3.
-(s - 2)*(s - 1)**2*(s + 2)/3
What is x in -3*x**4/2 + 12*x**3 - 51*x**2/2 - 3*x + 36 = 0?
-1, 2, 3, 4
Let -12*v**5 - 404*v**4 - 3320*v**3 + 1560*v**2 + 3332*v - 1156 = 0. Calculate v.
-17, -1, 1/3, 1
Factor 20*p**4 - 204*p**3 - 180*p**2 + 44*p.
4*p*(p - 11)*(p + 1)*(5*p - 1)
Factor -m**2/6 + 11*m/6 + 10.
-(m - 15)*(m + 4)/6
Factor r**4/4 - 3*r**2/4 - r/2.
r*(r - 2)*(r + 1)**2/4
Find w, given that 3*w**5/5 + 6*w**4/5 - 9*w**3/5 - 12*w**2/5 + 12*w/5 = 0.
-2, 0, 1
Find o, given that -2*o**2 - 20*o - 50 = 0.
-5
Suppose 4*f**3 + 64*f**2 + 116*f + 56 = 0. What is f?
-14, -1
Factor -3*a**5 + 12*a**4 - 9*a**3.
-3*a**3*(a - 3)*(a - 1)
Factor -2*y**4/5 + 2*y**3 + 44*y**2/5 + 32*y/5.
-2*y*(y - 8)*(y + 1)*(y + 2)/5
Factor 3*c**2 + 87*c + 162.
3*(c + 2)*(c + 27)
Let -3*c**2 - 3192*c + 3195 = 0. What is c?
-1065, 1
Factor -2*h**2 - 1468*h + 1470.
-2*(h - 1)*(h + 735)
Suppose -50*p**3/7 - 20*p**2/7 + 6*p/7 = 0. What is p?
-3/5, 0, 1/5
Let 2*r**3/9 + 20*r**2/9 + 8*r/3 - 16 = 0. Calculate r.
-6, 2
Solve i**4 + 3*i**3 - 3*i**2 - 11*i - 6 = 0 for i.
-3, -1, 2
Factor -3*r**3/2 - 132*r**2 - 519*r/2 - 129.
-3*(r + 1)**2*(r + 86)/2
Let -50*v**5/11 - 5590*v**4/11 + 1152*v**3/11 + 3592*v**2/11 + 896*v/11 = 0. Calculate v.
-112, -2/5, 0, 1
Factor 278*v**2 + 1100*v - 48.
2*(v + 4)*(139*v - 6)
What is x in 3*x**2/4 - 21*x/2 + 39/4 = 0?
1, 13
Let 2*u**3/13 + 464*u**2/13 - 934*u/13 + 36 = 0. Calculate u.
-234, 1
Find q, given that -q**5 + 5*q**4 + 5*q**3 - 25*q**2 - 40*q - 16 = 0.
-1, 4
Let h**3/6 + 37*h**2/6 + 200*h/3 + 224 = 0. What is h?
-21, -8
Factor 3*f**4 + 12*f**3 - 84*f**2 + 96*f.
3*f*(f - 2)**2*(f + 8)
Determine p so that 4*p**2 + 840*p + 7236 = 0.
-201, -9
Solve 3*i**5 + 237*i**4 + 1758*i**3 + 3882*i**2 + 3423*i + 1065 = 0 for i.
-71, -5, -1
Solve 3*k**5/7 + 51*k**4/7 - 186*k**3/7 - 12*k**2 + 696*k/7 - 480/7 = 0.
-20, -2, 1, 2
Find a, given that -2*a**5 + 98*a**4/3 - 322*a**3/3 - 362*a**2/3 + 328*a/3 + 88 = 0.
-1, -2/3, 1, 6, 11
Solve -2*m**3 - 1006*m**2 + 2*m + 1006 = 0.
-503, -1, 1
Let t**2/2 + 33*t/2 + 126 = 0. What is t?
-21, -12
Find s, given that s**2/3 - 332*s/3 = 0.
0, 332
Factor -76*t**4 + 668*t**3 - 1908*t**2 + 1620*t + 432.
-4*(t - 3)**3*(19*t + 4)
Factor -2*b**3/21 + 18*b**2/7 - 1944/7.
-2*(b - 18)**2*(b + 9)/21
Factor 2*b**3/3 + 30*b**2 + 964*b/3 - 352.
2*(b - 1)*(b + 22)*(b + 24)/3
Factor -w**5/3 - 2*w**4/3 + 16*w**3 - 122*w**2/3 + 113*w/3 - 12.
-(w - 4)*(w - 1)**3*(w + 9)/3
Let 2*u**4/19 - 4*u**3/19 - 8*u**2/19 + 16*u/19 = 0. Calculate u.
-2, 0, 2
Solve -5*q**5/3 - 5*q**4/3 + 35*q**3/3 + 65*q**2/3 + 10*q = 0 for q.
-2, -1, 0, 3
Find m such that 18*m**3/7 + 195*m**2/7 + 291*m/7 - 54/7 = 0.
-9, -2, 1/6
Suppose -3*t**4/2 - 25*t**3 - 77*t**2/2 - 15*t = 0. What is t?
-15, -1, -2/3, 0
Factor 2*h**3 + 42*h**2 - 2*h - 42.
2*(h - 1)*(h + 1)*(h + 21)
Let -2*u**2/11 + 72*u/11 - 648/11 = 0. Calculate u.
18
Factor 5*h**3 - 120*h**2 + 645*h + 770.
5*(h - 14)*(h - 11)*(h + 1)
Determine w, given that 2*w**4/9 - 32*w**3/9 + 46*w**2/9 + 680*w/9 + 200/3 = 0.
-3, -1, 10
Factor 2*m**3/9 - 34*m**2/9 - 2*m/9 + 34/9.
2*(m - 17)*(m - 1)*(m + 1)/9
What is b in -15*b**5 - 96*b**4 - 156*b**3 - 48*b**