580*r**2 - 1172*r + 588 = 0 for r.
-147, 1
Determine m so that 30*m**3 - 2337*m**2 - 234*m = 0.
-1/10, 0, 78
Solve 4*y**2 - 576*y - 580 = 0.
-1, 145
Factor -6*w**2 - 11934*w/11 + 12000/11.
-6*(w - 1)*(11*w + 2000)/11
Factor 4*p**3 - 12*p**2.
4*p**2*(p - 3)
Let 3*d**2 + 69*d + 66 = 0. What is d?
-22, -1
Let -2*d**2/7 - 40*d - 1608/7 = 0. Calculate d.
-134, -6
Factor -5*m**2 - 2015*m + 2020.
-5*(m - 1)*(m + 404)
Factor 3*n**2/2 + 12*n.
3*n*(n + 8)/2
Find p such that 30*p**5/7 + 78*p**4/7 - 54*p**3/7 - 42*p**2 - 264*p/7 - 72/7 = 0.
-2, -1, -3/5, 2
Factor 405*w**3 + 900*w**2 + 185*w + 10.
5*(w + 2)*(9*w + 1)**2
Find f such that -10*f**4 - 708*f**3/7 - 1822*f**2/7 - 120*f/7 + 200/7 = 0.
-5, -2/5, 2/7
Factor 2*h**2/9 - 28*h/3 + 640/9.
2*(h - 32)*(h - 10)/9
Factor -3*n**3 - 525*n**2 - 21600*n + 121500.
-3*(n - 5)*(n + 90)**2
Let -c**4/5 + 22*c**3/5 - 121*c**2/5 = 0. Calculate c.
0, 11
Factor -6*s**3/5 - 54*s**2/5 - 144*s/5 - 96/5.
-6*(s + 1)*(s + 4)**2/5
Find l such that -12*l**5/7 - 69*l**4/7 + 219*l**3/7 + 6*l**2/7 - 144*l/7 = 0.
-8, -3/4, 0, 1, 2
Factor -3*n**5 + 57*n**4 - 297*n**3 + 243*n**2.
-3*n**2*(n - 9)**2*(n - 1)
What is u in 9*u**3/4 - 12*u**2 + 85*u/4 - 25/2 = 0?
5/3, 2
What is p in -4*p**2/3 - 8*p - 20/3 = 0?
-5, -1
Factor -f**2/3 + 191*f + 1150/3.
-(f - 575)*(f + 2)/3
Factor 3*f**2 - 3.
3*(f - 1)*(f + 1)
Find q, given that 3*q**4 + 21*q**3 + 15*q**2 - 21*q - 18 = 0.
-6, -1, 1
Factor 3*h**3 - 93*h**2 + 258*h - 168.
3*(h - 28)*(h - 2)*(h - 1)
Let -256*i**4 - 576*i**3 + 1564*i**2 - 876*i + 144 = 0. What is i?
-4, 3/8, 1
Find u such that 3*u**4 + 171*u**3 + 789*u**2 + 441*u - 1404 = 0.
-52, -3, 1
Determine f, given that 4*f**5/7 - 40*f**4/7 + 128*f**3/7 - 128*f**2/7 = 0.
0, 2, 4
Suppose r**3/2 + 37*r**2/2 + 180*r + 162 = 0. What is r?
-18, -1
Factor -2*j**2/7 + 20*j + 288/7.
-2*(j - 72)*(j + 2)/7
Factor -11236*j**3 - 99852*j**2 + 11412*j - 324.
-4*(j + 9)*(53*j - 3)**2
Determine n so that -5*n**5 + 50*n**4 - 60*n**3 - 200*n**2 + 320*n = 0.
-2, 0, 2, 8
Factor 5*a**4 - 75*a**3 + 270*a**2 - 200*a.
5*a*(a - 10)*(a - 4)*(a - 1)
Determine j, given that j**3/4 - 43*j**2/2 + 323*j/4 + 205/2 = 0.
-1, 5, 82
Find a such that a**3/3 + 571*a**2/3 + 27265*a + 27075 = 0.
-285, -1
Determine q so that -q**5/4 + 7*q**4/4 - 9*q**3/4 - 7*q**2/4 + 5*q/2 = 0.
-1, 0, 1, 2, 5
Solve -5*f**2 + 50*f - 125 = 0 for f.
5
Factor v**2/6 - 1/6.
(v - 1)*(v + 1)/6
Suppose -15*g**5 + g**4 + 131*g**3 - 45*g**2 - 72*g = 0. Calculate g.
-3, -3/5, 0, 1, 8/3
Factor 15*h**2 + 2004*h - 804.
3*(h + 134)*(5*h - 2)
Determine o so that 3*o**3/8 - 15*o**2/4 + 27*o/8 = 0.
0, 1, 9
Solve 12*g**5 - 184*g**4 + 816*g**3 - 744*g**2 - 1276*g + 480 = 0 for g.
-1, 1/3, 3, 5, 8
Factor -x**4 - 23*x**3 - 76*x**2.
-x**2*(x + 4)*(x + 19)
Factor 3*c**2 + 42*c - 45.
3*(c - 1)*(c + 15)
Factor 841*d**3/4 - 143927*d**2/4 + 4960*d - 171.
(d - 171)*(29*d - 2)**2/4
Find d such that 2*d**3/5 + 382*d**2/5 + 3686*d + 3610 = 0.
-95, -1
Factor 2*c**4 - 108*c**3 - 336*c**2 - 340*c - 114.
2*(c - 57)*(c + 1)**3
Solve -3*t**2/5 + 27*t/5 - 12 = 0.
4, 5
Factor t**3/7 + 123*t**2/7 - 267*t + 959.
(t - 7)**2*(t + 137)/7
Factor a**4 - 36*a**3 + 186*a**2 + 484*a + 261.
(a - 29)*(a - 9)*(a + 1)**2
Factor 4*c**5/7 - 24*c**4 + 480*c**3/7 - 472*c**2/7 + 156*c/7.
4*c*(c - 39)*(c - 1)**3/7
Factor -x**4 - 24*x**3 - 45*x**2 - 22*x.
-x*(x + 1)**2*(x + 22)
Let 5*h**2 + 1450*h + 105125 = 0. Calculate h.
-145
Suppose -4*y**2 + 236*y + 240 = 0. What is y?
-1, 60
Suppose -4*m**4 + 32*m**3 - 68*m**2 + 40*m = 0. What is m?
0, 1, 2, 5
Factor -3*x**3/4 + 19*x**2/4 - x - 3.
-(x - 6)*(x - 1)*(3*x + 2)/4
Factor -4*x**4 - 10684*x**3 - 32028*x**2 - 32020*x - 10672.
-4*(x + 1)**3*(x + 2668)
Solve s**5 + 4*s**4 - 4*s**3 - 22*s**2 + 3*s + 18 = 0 for s.
-3, -1, 1, 2
Let -h**3/3 - 8*h**2/3 - 5*h/3 + 50/3 = 0. What is h?
-5, 2
Factor -5*p**2 - 95*p - 300.
-5*(p + 4)*(p + 15)
Let 2*c**5 + 16*c**4 - 114*c**3 + 200*c**2 - 104*c = 0. What is c?
-13, 0, 1, 2
Determine y so that -14*y**4 - 66*y**3 - 78*y**2 - 14*y + 12 = 0.
-3, -1, 2/7
Factor -2*w**3 + w**2 + 5*w + 2.
-(w - 2)*(w + 1)*(2*w + 1)
Factor 2*f**2 - 7612*f - 15232.
2*(f - 3808)*(f + 2)
Factor -20480*i**4 - 67840*i**3 - 65520*i**2 - 25235*i - 3430.
-5*(i + 2)*(16*i + 7)**3
Determine q so that -8*q**3 + 12*q**2 - 4*q = 0.
0, 1/2, 1
Find n, given that -2*n**4 + 8*n**3 - 6*n**2 = 0.
0, 1, 3
Suppose -2*a**5 + 280*a**4 + 290*a**3 - 1120*a**2 - 1128*a = 0. Calculate a.
-2, -1, 0, 2, 141
Factor 3*m**5 - 297*m**4 + 10950*m**3 - 176250*m**2 + 984375*m + 1171875.
3*(m - 25)**4*(m + 1)
Determine h so that -5*h**3 - 60*h**2 - 175*h - 120 = 0.
-8, -3, -1
Solve 2*o**4 - 28*o**3 + 6*o**2 + 468*o + 432 = 0 for o.
-3, -1, 6, 12
Let 4*q**5 + 28*q**4 + 8*q**3 - 256*q**2 - 384*q = 0. Calculate q.
-4, -2, 0, 3
Factor 4*p**2 - 288*p + 284.
4*(p - 71)*(p - 1)
Factor -o**3/3 - 153*o**2 - 1208*o - 7216/3.
-(o + 4)**2*(o + 451)/3
Suppose -6*y**5 + 104*y**4/3 - 34*y**3 - 136*y**2/3 + 40*y + 32/3 = 0. What is y?
-1, -2/9, 1, 2, 4
Factor -3*d**3 + 936*d**2 - 77463*d + 684030.
-3*(d - 151)**2*(d - 10)
Let h**3/3 + 5*h**2 - 52*h/3 + 12 = 0. Calculate h.
-18, 1, 2
Factor 2*d**2 + 506*d.
2*d*(d + 253)
Factor -20*s**3 + 1235*s**2 - 18910*s - 4805.
-5*(s - 31)**2*(4*s + 1)
Find z, given that 2*z**4 - 2822*z**3 + 1316772*z**2 - 198164232*z - 2342921328 = 0.
-11, 474
Determine b so that 5*b**3 + 20*b**2 - 125*b - 140 = 0.
-7, -1, 4
Determine g so that -3*g**5 - 6*g**4 + 3*g**3 + 6*g**2 = 0.
-2, -1, 0, 1
Factor -g**4/3 + 16*g**3/3 - 21*g**2.
-g**2*(g - 9)*(g - 7)/3
Determine o so that -6*o**4/5 - 14*o**3/5 - 4*o**2/5 = 0.
-2, -1/3, 0
Find w such that w**4 - 19*w**3 + 114*w**2 - 256*w + 160 = 0.
1, 4, 10
Factor -k**5 - 28*k**4 - 195*k**3 + 28*k**2 + 196*k.
-k*(k - 1)*(k + 1)*(k + 14)**2
Factor 2*r**2/13 + 134*r/13 + 132/13.
2*(r + 1)*(r + 66)/13
Factor 845*g**2 + 260*g + 20.
5*(13*g + 2)**2
What is h in -2*h**2 - 10*h = 0?
-5, 0
Find f, given that -3*f**3/4 - 57*f**2/4 - 105*f/4 - 51/4 = 0.
-17, -1
Find d, given that -2*d**3/3 + 8*d**2 + 230*d/3 - 84 = 0.
-7, 1, 18
Find i, given that -4*i**5 - 4*i**4 + 140*i**3 + 516*i**2 + 504*i = 0.
-3, -2, 0, 7
Let -56*a**2/19 - 6*a/19 = 0. Calculate a.
-3/28, 0
Factor -j**3/4 - 3*j**2/4 - 3*j/4 - 1/4.
-(j + 1)**3/4
Factor -4*v**5 + 36*v**4 - 60*v**3 + 28*v**2.
-4*v**2*(v - 7)*(v - 1)**2
Find o such that 98*o**5/5 - 266*o**4 + 5342*o**3/5 - 6166*o**2/5 + 2336*o/5 - 56 = 0.
2/7, 1, 5, 7
Factor -2*n**3/7 - 16*n**2/7 - 6*n - 36/7.
-2*(n + 2)*(n + 3)**2/7
Solve 2*g**4/13 + 20*g**3/13 + 58*g**2/13 + 40*g/13 = 0 for g.
-5, -4, -1, 0
Determine n so that 2*n**5 - 768*n**4 + 766*n**3 = 0.
0, 1, 383
Solve 12*h**3 - 57*h**2 + 57*h + 18 = 0.
-1/4, 2, 3
Determine v so that 2*v**5/13 - 44*v**4 - 1152*v**3/13 - 4*v**2/13 + 1150*v/13 + 576/13 = 0.
-1, 1, 288
What is m in m**2/3 - 23*m/3 = 0?
0, 23
Factor -2*u**2 - 24*u - 40.
-2*(u + 2)*(u + 10)
What is p in -4*p**4/7 + 36*p**3 - 68*p**2 - 732*p/7 = 0?
-1, 0, 3, 61
Find m, given that 5*m**4 - 15*m**2 + 10*m = 0.
-2, 0, 1
Solve -g**5 + 7*g**4 - 14*g**3 + 8*g**2 = 0.
0, 1, 2, 4
Suppose -4*i**4 - 32*i**3 + 4*i**2 + 272*i - 240 = 0. Calculate i.
-6, -5, 1, 2
Factor -291*s**5/4 + 435*s**4/2 - 216*s**3 + 141*s**2/2 + 3*s/4.
-3*s*(s - 1)**3*(97*s + 1)/4
Factor w**5 - 121*w**4/6 + 310*w**3/3 - 50*w**2/3.
w**2*(w - 10)**2*(6*w - 1)/6
Suppose 4*l**4/3 + 8*l**3/3 - 964*l**2/3 + 952*l/3 = 0. What is l?
-17, 0, 1, 14
Factor -s**3 - 402*s**2 - 53868*s - 2406104.
-(s + 134)**3
Suppose 5*r**4/4 - 10*r**3 + 105*r**2/4 - 45*r/2 = 0. What is r?
0, 2, 3
Factor b**4 - 11*b**2 + 18*b - 8.
(b - 2)*(b - 1)**2*(b + 4)
Solve -4*p**5 - 4*p**4 + 28*p**3 + 52*p**2 + 24*p = 0 for p.
-2, -1, 0, 3
Solve 20*q**2 - 475*q - 1170 = 0.
-9/4, 26
Suppose 2*y**2 + 244*y + 7442 = 0. What is y?
-61
Suppose -4*h**3 - 364*h**2 - 10396*h - 95220 = 0. What is h?
-45, -23
Suppose -s**5/6 - 5*s**4/3 - 11*s**3/3 + 16*s**2/3 + 95*s/6 + 25/3 = 0. What is s?
-5, -1, 2
Suppose 4*s**4 - 44*s**3 = 0. What is s?
0, 11
Factor -2*t**4/13 + 10*t**3/13 + 12*t**2/13.
-2*t**2*(t - 6)*(t + 1)/13
Suppose -d**3/2 + 53*d**2 - 105*d/2 = 0. What is d?
0, 1, 105
What is h in -h**4/8 - 3*h**3/8 + 9*h**2/4 - h/2 - 3 = 0?
-6, -1, 2
Suppose -4*u**3 - 4*u**2 + 40*u - 32 = 0. What is u?
-4, 1, 2
Factor 156*m**3 - 1864*m**2 + 5520*m + 288