 - 17980*v**2 - 9000*v = 0 for v.
-2, -1, 0, 450
Factor -5*l**2 - 10*l.
-5*l*(l + 2)
Let 5*j**2 + 4310*j + 928805 = 0. Calculate j.
-431
Determine k, given that 4*k**3 + 270*k**2 + 6048*k + 44928 = 0.
-24, -39/2
Determine q so that 2*q**3/7 - 68*q**2/7 + 640*q/7 - 1024/7 = 0.
2, 16
Factor 4*c**3 + 1052*c**2 - 4256*c + 4272.
4*(c - 2)**2*(c + 267)
Find d, given that 92*d**2 - 2492*d + 216 = 0.
2/23, 27
Find m, given that -3*m**4 - 42*m**3 + 93*m**2 + 780*m + 900 = 0.
-15, -2, 5
Factor -2*d**3/19 - 68*d**2/19 - 66*d/19.
-2*d*(d + 1)*(d + 33)/19
What is n in n**4/3 - n**3/3 - 3*n**2 + 3*n = 0?
-3, 0, 1, 3
Solve -5*a**5 + 2165*a**4 - 2145*a**3 - 6505*a**2 + 10810*a - 4320 = 0 for a.
-2, 1, 432
What is f in -3*f**3/7 - 15*f**2/7 + 12*f + 96/7 = 0?
-8, -1, 4
Solve -2*r**2/3 - 10*r - 100/3 = 0.
-10, -5
Factor -5*d**3 + 280*d**2 + 875*d + 590.
-5*(d - 59)*(d + 1)*(d + 2)
Factor 5*s**3/4 - 705*s**2/2 + 2805*s/4 - 350.
5*(s - 280)*(s - 1)**2/4
Determine b so that 2*b**5/7 + 192*b**4/7 + 186*b**3/7 - 380*b**2/7 = 0.
-95, -2, 0, 1
Find z such that -6*z**3 + 211*z**2 - 193*z - 410 = 0.
-1, 2, 205/6
Let -3*x**2 + 372*x - 3420 = 0. What is x?
10, 114
Factor -2*r**2/7 + 5714*r/7 + 5716/7.
-2*(r - 2858)*(r + 1)/7
Factor -l**4/5 - 8*l**3/5 - 7*l**2/5.
-l**2*(l + 1)*(l + 7)/5
Solve -w**2/6 + 295*w/3 - 87025/6 = 0 for w.
295
Let -4*h**4/7 - 30*h**3/7 - 30*h**2/7 + 20*h + 144/7 = 0. Calculate h.
-9/2, -4, -1, 2
Let 2*g**5 + 570*g**4/7 - 5652*g**3/7 + 224*g**2 = 0. Calculate g.
-49, 0, 2/7, 8
Let h**4/2 + 15*h**3/2 + 25*h**2/2 - 15*h/2 - 13 = 0. Calculate h.
-13, -2, -1, 1
Find k, given that -k**5 + 3*k**4 + 32*k**3 + 60*k**2 + 32*k = 0.
-2, -1, 0, 8
Let -68*h**4 + 160*h**3 - 48*h**2 = 0. What is h?
0, 6/17, 2
Suppose 2*b**5/11 - 18*b**4/11 + 2*b**3/11 + 282*b**2/11 - 508*b/11 + 240/11 = 0. What is b?
-4, 1, 5, 6
Determine z so that 3*z**3 - z**2 - 3*z + 1 = 0.
-1, 1/3, 1
Let m**5/2 + 14*m**4 + 51*m**3 + 74*m**2 + 97*m/2 + 12 = 0. Calculate m.
-24, -1
Factor -2*p**5/7 - 130*p**4/7 - 1910*p**3/7 + 6530*p**2/7 - 6800*p/7 + 2312/7.
-2*(p - 1)**3*(p + 34)**2/7
Factor -o**4/6 - 13*o**3/2 - 49*o**2 - 368*o/3 - 80.
-(o + 1)*(o + 4)**2*(o + 30)/6
Factor 4*d**4 + 276*d**3 + 268*d**2 - 276*d - 272.
4*(d - 1)*(d + 1)**2*(d + 68)
Factor -4*v**3 + 528*v**2 - 524*v.
-4*v*(v - 131)*(v - 1)
Factor 6*t**2/7 + 2124*t/7 - 2130/7.
6*(t - 1)*(t + 355)/7
Solve -32*v**2/7 + 6*v + 74/7 = 0.
-1, 37/16
Let 2*n**4/3 + 38*n**3/15 - 8*n**2/15 = 0. What is n?
-4, 0, 1/5
Solve -8*q**5/7 + 1628*q**4/7 - 82408*q**3/7 - 43244*q**2/7 + 82416*q/7 + 41616/7 = 0.
-1, -1/2, 1, 102
Let -9*s**3 - 219*s**2 - 279*s - 69 = 0. What is s?
-23, -1, -1/3
Let 5*h**5/3 + 2*h**4/9 = 0. What is h?
-2/15, 0
Let 2*y**5 - 100*y**4 - 424*y**3 - 432*y**2 = 0. What is y?
-2, 0, 54
Solve -2*s**2 - 240*s - 7200 = 0 for s.
-60
Factor -4*q**4 + 36*q**3 - 56*q**2.
-4*q**2*(q - 7)*(q - 2)
Suppose 22*t**3 - 76*t**2 + 74*t - 20 = 0. Calculate t.
5/11, 1, 2
Determine u, given that u**5/3 + u**4/3 - 5*u**3/3 - 5*u**2/3 + 4*u/3 + 4/3 = 0.
-2, -1, 1, 2
What is i in -i**5 - 165*i**4 - 632*i**3 + 1964*i**2 + 5088*i - 10304 = 0?
-161, -4, 2
Factor -1825*c**2 + 780*c - 20.
-5*(5*c - 2)*(73*c - 2)
Solve 5*d**3/6 + 73*d**2/6 + 110*d/3 - 50/3 = 0.
-10, -5, 2/5
Suppose -2*w**2/7 + 96*w/7 - 184/7 = 0. Calculate w.
2, 46
Factor 3*q**4 - 66*q**3 + 363*q**2.
3*q**2*(q - 11)**2
Find a, given that 2*a**2/25 + 4584*a/25 + 2626632/25 = 0.
-1146
Factor n**2 + 482*n + 58081.
(n + 241)**2
Solve 153*p**3 - 1140*p**2 + 489*p - 42 = 0 for p.
2/17, 1/3, 7
Let -3*p**2/4 - 3081*p/4 = 0. Calculate p.
-1027, 0
Solve 2*i**3/5 + 22*i**2/5 + 14*i/5 - 294/5 = 0.
-7, 3
Solve 2*z**5/5 - 152*z**4/5 + 3178*z**3/5 - 11092*z**2/5 + 13248*z/5 - 5184/5 = 0.
1, 2, 36
Find u such that -5*u**5 - 10*u**4 + 10*u**3 + 20*u**2 - 5*u - 10 = 0.
-2, -1, 1
Factor -2*r**3/7 - 254*r**2/7 - 1170*r - 1134.
-2*(r + 1)*(r + 63)**2/7
Find n, given that 2*n**3 - 4*n**2 - 16*n = 0.
-2, 0, 4
Let 2*h**5 - 26*h**4 - 58*h**3 - 30*h**2 = 0. What is h?
-1, 0, 15
Determine a, given that -2*a**4/5 + 8*a**3/5 - 6*a**2/5 = 0.
0, 1, 3
Factor -2*f**4 + 8*f**3.
-2*f**3*(f - 4)
Solve -2*v**5/11 - 30*v**4/11 - 60*v**3/11 + 160*v**2/11 + 192*v/11 = 0 for v.
-12, -4, -1, 0, 2
Find g, given that -108*g**3 - 5940*g**2 - 108900*g - 665500 = 0.
-55/3
Factor 4*k**2 - 124*k - 128.
4*(k - 32)*(k + 1)
Determine b, given that -b**3 - 41*b**2 + 85*b - 43 = 0.
-43, 1
Let -k**4/4 - k**3/2 + 13*k**2/4 - 5*k/2 = 0. What is k?
-5, 0, 1, 2
Suppose 5*w**5 + 30*w**4 + 60*w**3 + 40*w**2 = 0. What is w?
-2, 0
Solve l**2/2 - 49*l/2 + 209 = 0 for l.
11, 38
Factor 5*k**5 + 10*k**4 - 30*k**3 - 20*k**2 + 65*k - 30.
5*(k - 1)**3*(k + 2)*(k + 3)
Factor -2*i**2/5 - 572*i/5.
-2*i*(i + 286)/5
Let 2*a**5/5 + 18*a**4/5 + 26*a**3/5 - 18*a**2 - 20*a = 0. Calculate a.
-5, -1, 0, 2
Let 3*o**2/5 + 1854*o/5 - 1857/5 = 0. Calculate o.
-619, 1
Suppose -3*l**3 + 243*l**2 - 474*l = 0. Calculate l.
0, 2, 79
Solve -4*k**5 + 192*k**4 - 3192*k**3 + 20224*k**2 - 31620*k + 14400 = 0.
1, 15, 16
Solve -4*z**2 + 212*z = 0 for z.
0, 53
Suppose d**5/3 - 7*d**4/3 - 17*d**3 - 101*d**2/3 - 82*d/3 - 8 = 0. Calculate d.
-2, -1, 12
Factor -j**2/3.
-j**2/3
Solve -j**4/2 - 3*j**3 + 7*j**2/2 = 0 for j.
-7, 0, 1
Factor 363*p**3/7 - 1320*p**2/7 - 516*p/7 - 48/7.
3*(p - 4)*(11*p + 2)**2/7
Suppose 2*d**2 + 14*d - 16 = 0. What is d?
-8, 1
Factor g**3/3 - 16*g**2/3 + 64*g/3.
g*(g - 8)**2/3
Solve 147*a**3 + 1554*a**2 + 852*a + 120 = 0.
-10, -2/7
Find g such that -3*g**5 + 3*g**4 + 33*g**3 + 21*g**2 - 30*g - 24 = 0.
-2, -1, 1, 4
Suppose -2*p**3 + 2*p**2 + 8*p - 8 = 0. Calculate p.
-2, 1, 2
Let 4*v**3 - 172*v**2 + 2080*v - 4800 = 0. Calculate v.
3, 20
Factor -27*l**2/8 + 33*l/8 - 3/4.
-3*(l - 1)*(9*l - 2)/8
Solve -2*d**4/15 + 68*d**3/15 - 22*d**2/5 = 0.
0, 1, 33
Factor 21*m**3/2 + 279*m**2/2 + 39*m.
3*m*(m + 13)*(7*m + 2)/2
Find w such that -2*w**4/11 - 782*w**3/11 + 784*w**2/11 = 0.
-392, 0, 1
Solve -3*z**4 - 6*z**3 + 45*z**2 + 108*z = 0.
-3, 0, 4
Factor -237*h**3 + 713*h**2 + 942*h - 8.
-(h - 4)*(h + 1)*(237*h - 2)
Solve 2*z**2/7 + 232*z/7 = 0 for z.
-116, 0
Factor -2*p**3 + 14*p**2.
-2*p**2*(p - 7)
Find l, given that 18*l**3/5 + 2088*l**2/5 + 2074*l/5 + 92 = 0.
-115, -2/3, -1/3
Solve 4*c**5/9 + 104*c**4/9 + 364*c**3/9 + 88*c**2/3 = 0.
-22, -3, -1, 0
Let 3*d**5 - 33*d**4 + 123*d**3 - 183*d**2 + 90*d = 0. Calculate d.
0, 1, 2, 3, 5
Let -90*g**5 + 225*g**4 - 35*g**3 - 120*g**2 + 20*g = 0. What is g?
-2/3, 0, 1/6, 1, 2
Factor -2*h**2/11 + 142*h/11.
-2*h*(h - 71)/11
Factor q**2 + 2900*q + 2102500.
(q + 1450)**2
Solve -a**3 - 192*a**2 = 0 for a.
-192, 0
Factor 2*h**4/9 + 22*h**3/9 + 86*h**2/9 + 46*h/3 + 8.
2*(h + 1)*(h + 3)**2*(h + 4)/9
Let 2*b**2 - 4*b + 2 = 0. Calculate b.
1
Let i**3 + 4*i**2 - 105*i - 108 = 0. What is i?
-12, -1, 9
Find s, given that 2*s**4 + 69*s**3/2 + 253*s**2/2 - 249*s/2 - 77/2 = 0.
-11, -7, -1/4, 1
What is t in -15*t**3 - 250*t**2 + 5365*t = 0?
-29, 0, 37/3
Suppose 2*g**4 - 16*g**3 + 30*g**2 + 16*g - 32 = 0. Calculate g.
-1, 1, 4
Find s such that 5*s**5 - 15*s**4 - 115*s**3 + 135*s**2 + 110*s - 120 = 0.
-4, -1, 1, 6
Determine a, given that 3*a**2/4 - 3423*a/4 - 3429/2 = 0.
-2, 1143
Factor 4*h**2/3 - 188*h.
4*h*(h - 141)/3
Factor -z**4/4 - 15*z**3/2 - 21*z**2 - 41*z/2 - 27/4.
-(z + 1)**3*(z + 27)/4
Determine c so that 2*c**5/11 - 10*c**4/11 + 12*c**3/11 + 4*c**2/11 - 14*c/11 + 6/11 = 0.
-1, 1, 3
Determine y, given that -4*y**3 + 496*y**2 - 15376*y = 0.
0, 62
What is q in 5*q**4 + 20*q**3 + 20*q**2 = 0?
-2, 0
Solve -4*o**2/5 + 4*o + 24/5 = 0.
-1, 6
Factor 5*i**4 - 50*i**3 + 140*i**2 - 30*i - 225.
5*(i - 5)*(i - 3)**2*(i + 1)
What is k in -145*k**5 + 1150*k**4 - 2240*k**3 - 160*k**2 = 0?
-2/29, 0, 4
Factor 87*y**3 - 690*y**2 + 1344*y + 96.
3*(y - 4)**2*(29*y + 2)
Let -10*c**4/3 - 10724*c**3/3 - 962646*c**2 - 6877960*c/3 - 2289800/3 = 0. Calculate c.
-535, -2, -2/5
Find m such that -m**3 + 86*m**2 + 87*m = 0.
-1, 0, 87
Suppose -361*z**2/10 - 323*z/5 - 289/10 = 0. Calculate z.
-17/19
Factor 2*u**4/5 + 104*u**3/5 + 872*u**2/5 - 2496*u + 5760.
2*(u - 4)**2*(u + 30)**2/5
Determine n so that n**5/2 - 2725*n**4 + 10897*n**3/2 - 2724*n**2 = 0.
0, 1, 5448
Determine q, given that -2*q**3/7 - 3848*q**2/7 - 3846*q/7 = 0.
-1923, -1, 0
Suppose -2*n**4 - 56*n**3 + 180*