- 123*p + 18.
-3*(p + 6)*(7*p - 1)
Factor 3*k**3/5 + 6*k**2/5.
3*k**2*(k + 2)/5
Factor 4*i**2 - 120*i - 544.
4*(i - 34)*(i + 4)
Determine s, given that 3*s**2 - 21*s - 180 = 0.
-5, 12
Let -w**2 + 762*w - 145161 = 0. What is w?
381
Suppose -10*j**4 + 66*j**3 - 32*j**2 - 24*j = 0. Calculate j.
-2/5, 0, 1, 6
Determine v, given that -3*v**5 + 60*v**4 + 129*v**3 + 66*v**2 = 0.
-1, 0, 22
Factor 15*l**2 - 670*l - 225.
5*(l - 45)*(3*l + 1)
Factor 4*f**3/5 - 8*f**2/5 - 28*f/5 - 16/5.
4*(f - 4)*(f + 1)**2/5
Solve 1458*w**4/11 - 100116*w**3/11 - 31320*w**2 - 386800*w/11 - 144000/11 = 0.
-10/9, 72
Let -16*g**5 + 60*g**4 + 444*g**3 - 2408*g**2 + 3072*g - 1152 = 0. What is g?
-6, 3/4, 1, 4
Factor -4*z**4 - 52*z**3 - 244*z**2 - 492*z - 360.
-4*(z + 2)*(z + 3)**2*(z + 5)
Find p such that -202*p**2/17 + 1030*p/17 - 100/17 = 0.
10/101, 5
Factor 2*h**4/5 + 184*h**3/5 + 4044*h**2/5 - 8648*h/5 + 4418/5.
2*(h - 1)**2*(h + 47)**2/5
Factor -4*d**2 - 28*d.
-4*d*(d + 7)
Let p**2/3 - 3148*p/3 + 2477476/3 = 0. What is p?
1574
Factor 2*k**4/5 - 6*k**3 + 122*k**2/5 - 42*k/5 - 196/5.
2*(k - 7)**2*(k - 2)*(k + 1)/5
Factor n**4/10 - n**2/10.
n**2*(n - 1)*(n + 1)/10
Let 5*y**2 + 5255*y + 10490 = 0. What is y?
-1049, -2
Factor -341907750*x**3/7 + 7392600*x**2/7 - 53280*x/7 + 128/7.
-2*(555*x - 4)**3/7
Factor -3*f**4/4 + 429*f**3/2.
-3*f**3*(f - 286)/4
Factor 2*o**3 + 2*o**2.
2*o**2*(o + 1)
Factor -2*m**2 + 80*m - 152.
-2*(m - 38)*(m - 2)
Factor 3*a**4/7 - 120*a**3/7 + 786*a**2/7 + 8280*a/7 + 14283/7.
3*(a - 23)**2*(a + 3)**2/7
Suppose 5*g**2 - 70*g + 165 = 0. What is g?
3, 11
Let 2*v**5/9 + 74*v**4/9 - 320*v**3/9 + 328*v**2/9 = 0. What is v?
-41, 0, 2
Factor -3*m**4 + 168*m**3 - 936*m**2 + 1824*m - 1200.
-3*(m - 50)*(m - 2)**3
Factor 3*l**2 - 258*l - 1656.
3*(l - 92)*(l + 6)
Factor -z**2/2 - 64*z - 2048.
-(z + 64)**2/2
Suppose 2*u**2/7 - 188*u/7 + 4418/7 = 0. What is u?
47
Factor 5*r**4/4 - 11*r**3 - 59*r**2/4 - 5*r/2.
r*(r - 10)*(r + 1)*(5*r + 1)/4
Factor 2*b**2/11 + 26*b/11 + 24/11.
2*(b + 1)*(b + 12)/11
Let 14*p**4 - 46*p**3 - 212*p**2 - 104*p + 48 = 0. What is p?
-2, -1, 2/7, 6
Solve -f**3 + f**2 + 12*f = 0 for f.
-3, 0, 4
Factor -2*s**3/11 - 64*s**2/11 - 232*s/11 - 224/11.
-2*(s + 2)**2*(s + 28)/11
Factor 2*z**5/3 - 2*z**4/3 - 12*z**3 + 100*z**2/3 - 94*z/3 + 10.
2*(z - 3)*(z - 1)**3*(z + 5)/3
Solve 2*r**5/13 - 2*r**4/13 - 20*r**3/13 - 16*r**2/13 = 0 for r.
-2, -1, 0, 4
Determine u so that 5*u**4/2 + 25*u**3/2 + 15*u**2/2 - 25*u/2 - 10 = 0.
-4, -1, 1
Factor b**4 - 5*b**3 - 111*b**2 - 203*b - 98.
(b - 14)*(b + 1)**2*(b + 7)
Factor 108*h**5 - 1836*h**4 + 12024*h**3 - 37912*h**2 + 57820*h - 34300.
4*(h - 5)**2*(3*h - 7)**3
Factor 2*t**2/7 + 12*t/7.
2*t*(t + 6)/7
Find r such that 3*r**3/7 + 9*r**2 + 117*r/7 + 57/7 = 0.
-19, -1
Let -2*y**5/11 + 14*y**4/11 + 200*y**3/11 + 568*y**2/11 + 480*y/11 = 0. Calculate y.
-4, -2, 0, 15
Find g, given that -2*g**3 + 1916*g**2 - 458882*g = 0.
0, 479
Suppose 4*i**2/5 - 288*i + 25920 = 0. What is i?
180
Factor 2*j**4 + 38*j**3 + 208*j**2 + 352*j.
2*j*(j + 4)**2*(j + 11)
Let 2*c**5 - 18*c**4 - 42*c**3 - 22*c**2 = 0. What is c?
-1, 0, 11
Solve 4*u**3 - 364*u**2 + 7840*u - 49392 = 0.
14, 63
Solve -v**4/3 - 76*v**3/3 - 454*v**2 + 1092*v + 1521 = 0 for v.
-39, -1, 3
Factor -6*i**5 + 159*i**4 - 78*i**3.
-3*i**3*(i - 26)*(2*i - 1)
Solve -5*r**3/2 + 70*r**2 - 385*r/2 + 125 = 0.
1, 2, 25
Factor z**5 - 44*z**4 - 291*z**3 - 450*z**2.
z**2*(z - 50)*(z + 3)**2
Factor 5*j**3 - 3915*j**2 + 1021815*j - 88897905.
5*(j - 261)**3
Factor -v**5 + 24*v**4 - 210*v**3 + 784*v**2 - 1029*v.
-v*(v - 7)**3*(v - 3)
Let -4*i**2/9 - 544*i/9 - 60 = 0. Calculate i.
-135, -1
Factor 2*g**4/9 + 92*g**3/9 + 490*g**2/9 + 400*g/9.
2*g*(g + 1)*(g + 5)*(g + 40)/9
Find d such that -2*d**3 - 254*d**2 + 514*d - 258 = 0.
-129, 1
Factor 4*q**4/3 - 20*q**3/3 + 4*q**2 + 20*q/3 - 16/3.
4*(q - 4)*(q - 1)**2*(q + 1)/3
Suppose -f**3 - 37*f**2/5 + 2*f/5 + 112/5 = 0. What is f?
-7, -2, 8/5
Solve 3*c**4 - 4266*c**3/5 + 308379*c**2/5 - 143820*c + 238572/5 = 0 for c.
2/5, 2, 141
Factor -3*s**3/4 - 3*s**2/2 - 3*s/4.
-3*s*(s + 1)**2/4
Factor -j**4 - 23*j**3 - 43*j**2 - 21*j.
-j*(j + 1)**2*(j + 21)
Find s, given that 4*s**5/5 - 134*s**4/5 + 616*s**3/5 + 1640*s**2 + 4160*s + 3200 = 0.
-5/2, -2, 20
Let v**4/6 + 5*v**3/6 + 3*v**2/2 + 7*v/6 + 1/3 = 0. What is v?
-2, -1
What is v in -2*v**5/3 - 62*v**4/3 - 14*v**3 + 518*v**2/3 - 652*v/3 + 80 = 0?
-30, -4, 1
What is i in 5*i**4 + 15*i**3 - 5*i**2 - 15*i = 0?
-3, -1, 0, 1
Determine n, given that 3*n**2 + 111*n - 234 = 0.
-39, 2
Factor -39*d**2/8 - 27*d/8.
-3*d*(13*d + 9)/8
Factor 3*x**3 + 1233*x**2 - 2475*x + 1239.
3*(x - 1)**2*(x + 413)
Determine c, given that 2*c**3/13 + 22*c**2 - 1480*c/13 = 0.
-148, 0, 5
Factor 2*h**2/7 + 80*h/7 - 82/7.
2*(h - 1)*(h + 41)/7
Let -3*a**5 + 51*a**4 - 297*a**3 + 621*a**2 - 972 = 0. What is a?
-1, 3, 6
What is t in 2*t**3 - 28*t**2 - 42*t + 180 = 0?
-3, 2, 15
What is o in 2*o**5 - 48*o**4 + 130*o**3 - 84*o**2 = 0?
0, 1, 2, 21
Let -v**5/3 + 2*v**4 - 2*v**3 - 16*v**2/3 + 5*v + 6 = 0. What is v?
-1, 2, 3
Factor 9*h**2 + 51*h + 30.
3*(h + 5)*(3*h + 2)
Find y, given that -2*y**3 + 4*y**2 = 0.
0, 2
Factor -f**2 + 613*f + 614.
-(f - 614)*(f + 1)
Let -4*r**2 - 28*r + 32 = 0. Calculate r.
-8, 1
Factor -2*h**2/11 - 96*h/11 - 1152/11.
-2*(h + 24)**2/11
Factor -2*j**3 - 264*j**2 - 1530*j - 2268.
-2*(j + 3)**2*(j + 126)
Find u such that 2*u**3/7 + 30*u**2/7 + 64*u/7 - 96/7 = 0.
-12, -4, 1
Factor a**3/7 + 303*a**2/7 + 23691*a/7 + 111005/7.
(a + 5)*(a + 149)**2/7
Solve -p**2/4 + 49*p/2 + 2499/4 = 0.
-21, 119
Factor 2*g**3/5 - 62*g**2/5 + 448*g/5 + 512/5.
2*(g - 16)**2*(g + 1)/5
Solve 55*u**2 + 195*u - 250 = 0.
-50/11, 1
Factor -q**3/3 + 19*q**2/3 + 20*q/3.
-q*(q - 20)*(q + 1)/3
Let 2*g**3 - 3106*g**2 + 6206*g - 3102 = 0. What is g?
1, 1551
What is d in -d**5/7 + 11*d**4/7 - 6*d**3/7 - 158*d**2/7 + d + 21 = 0?
-3, -1, 1, 7
Solve -35*f**4 - 50*f**3 + 145*f**2 - 60*f = 0 for f.
-3, 0, 4/7, 1
Determine s, given that s**2/3 - s/2 - 1/3 = 0.
-1/2, 2
Let 2*x**3 + 328*x**2 + 2806*x + 2480 = 0. What is x?
-155, -8, -1
Factor 2*p**5/21 - 26*p**4/21 + 8*p**3/7.
2*p**3*(p - 12)*(p - 1)/21
Factor 98*o**4/3 + 8792*o**3/3 + 195932*o**2/3 - 18840*o + 1350.
2*(o + 45)**2*(7*o - 1)**2/3
Suppose h**4 + 11*h**3 + 39*h**2 + 49*h + 20 = 0. What is h?
-5, -4, -1
Factor -2*b**4/9 + 22*b**3/3 - 14*b**2 + 62*b/9.
-2*b*(b - 31)*(b - 1)**2/9
Factor q**3/6 + 113*q**2/3 - 2335*q/6 + 2950/3.
(q - 5)**2*(q + 236)/6
Factor -z**4 + 7*z**3 + 12*z**2 - 176*z + 320.
-(z - 4)**3*(z + 5)
Factor -11*y**2/4 - y/2.
-y*(11*y + 2)/4
Let 3*z**3/7 - 3*z**2 + 18*z/7 = 0. What is z?
0, 1, 6
Factor -1058*m**2 + 4048*m - 3872.
-2*(23*m - 44)**2
Factor 5*i**3 + 20*i**2 - 25*i.
5*i*(i - 1)*(i + 5)
Solve 10*t**5/9 + 94*t**4/9 + 24*t**3 + 32*t**2/9 - 256*t/9 - 32/3 = 0.
-6, -2, -2/5, 1
Solve -2*n**2/13 + 5530*n/13 + 5532/13 = 0.
-1, 2766
Factor 7*m**2/3 - 628*m/3 - 60.
(m - 90)*(7*m + 2)/3
Let 2*m**3 - 334*m**2 + 1620*m = 0. What is m?
0, 5, 162
Factor 4*s**3/7 - 68*s**2/7 + 8*s + 128/7.
4*(s - 16)*(s - 2)*(s + 1)/7
Find v such that 2*v**5/11 + 6*v**4/11 - 6*v**3/11 - 2*v**2 - 12*v/11 = 0.
-3, -1, 0, 2
Suppose q**2/11 - 1913*q/11 - 174 = 0. What is q?
-1, 1914
Factor 5*g**5 - 3495*g**4 + 584070*g**3 + 9291550*g**2 + 47347125*g + 79655625.
5*(g - 357)**2*(g + 5)**3
Factor z**3/5 - 67*z**2/5 + 62*z.
z*(z - 62)*(z - 5)/5
Let -h**5 + 123*h**4 - 3443*h**3 - 22151*h**2 + 54144*h - 28672 = 0. What is h?
-7, 1, 64
Factor 2*z**3/5 - 6518*z**2/5 + 5313798*z/5 - 5307282/5.
2*(z - 1629)**2*(z - 1)/5
Factor -3920*a**4 + 117320*a**3 - 873605*a**2 - 62850*a - 1125.
-5*(a - 15)**2*(28*a + 1)**2
Determine l, given that -3*l**3 - 27*l**2 - 42*l = 0.
-7, -2, 0
Let -q**2 + 2*q + 35 = 0. Calculate q.
-5, 7
Factor -13*g**3 + 8*g**2 + 36*g.
-g*(g - 2)*(13*g + 18)
Factor -4*b**3/7 + 24*b**2/7 - 32*b/7.
-4*b*(b - 4)*(b - 2)/7
Factor 5*f**5 - 15*f**3 + 10*f**2.
5*f**2*(f - 1)**2*(f + 2)
Factor -i**3/5 - 1301*i**2/5 - 84760*i - 84500.
-(i + 1)*(i + 650)**2/5
Determine m so that -2*m**3 + 12*m**2/5 - 2*m/5 = 0.
0, 1/5, 1
Suppose 2*d**2 + 130*d - 2212 = 0. What is d?
-79, 14
Solve m**2 - 10*m + 16 = 0 for m.
2, 8
Factor 3*a**3 + 153*a**2 - 2268*a.
3*a*(a - 12)*(a + 63)
Solve 5*t**4 + 905*t**3 + 41390*t**2 + 38700*t - 8