alculate r.
-1, 0
Solve -4*d**2 + 88*d + 1452 = 0 for d.
-11, 33
Determine y, given that -2*y**4/11 - 24*y**3/11 - 4*y**2 + 168*y/11 - 98/11 = 0.
-7, 1
Suppose u**4 + 8*u**3 + 17*u**2 + 10*u = 0. Calculate u.
-5, -2, -1, 0
Find p such that -406*p**4 + 597*p**3 - 185*p**2 - 6*p = 0.
-6/203, 0, 1/2, 1
Factor c**4/7 - 25*c**3/7 + 69*c**2/7 - 67*c/7 + 22/7.
(c - 22)*(c - 1)**3/7
Factor -w**4/2 + 7*w**3/2 + 217*w**2/2 + 209*w/2.
-w*(w - 19)*(w + 1)*(w + 11)/2
Solve 35*n**4/6 - 115*n**3/6 - 95*n**2/2 + 345*n/2 - 45 = 0.
-3, 2/7, 3
Factor -36*l**3 - 51*l**2 - 15*l/2.
-3*l*(4*l + 5)*(6*l + 1)/2
Let 15*n**3 + 170*n**2 - 120*n = 0. Calculate n.
-12, 0, 2/3
Factor -2*l**3/9 - 26*l**2/9 + 40*l/9 + 56/3.
-2*(l - 3)*(l + 2)*(l + 14)/9
Factor -4*v**2 + 894*v + 448.
-2*(v - 224)*(2*v + 1)
Solve -76*h**4 - 144*h**3 + 92*h**2 + 144*h - 16 = 0.
-2, -1, 2/19, 1
Factor 5*y**3 + 380*y**2 + 7585*y + 13690.
5*(y + 2)*(y + 37)**2
Find p, given that -p**2/2 + 550*p - 151250 = 0.
550
Determine j, given that -2*j**3/11 + 14*j**2/11 - 16*j/11 - 32/11 = 0.
-1, 4
Find c such that -2*c**3/7 + 320*c**2/7 - 318*c/7 = 0.
0, 1, 159
Factor -i**3 - 210*i**2 + 423*i - 212.
-(i - 1)**2*(i + 212)
Solve -48*u**4 - 304*u**3 + 228*u**2 + 24*u - 28 = 0.
-7, -1/3, 1/2
Find g, given that 3*g**3/7 - 17*g**2/7 - 54*g/7 - 16/7 = 0.
-2, -1/3, 8
Let 30*c**3/11 - 304*c**2/11 + 310*c/11 - 36/11 = 0. What is c?
2/15, 1, 9
Factor -2*f**2/5 - 344*f/5 - 1014/5.
-2*(f + 3)*(f + 169)/5
What is n in 2*n**5/3 - 10*n**4/3 + 2*n**3 + 34*n**2/3 - 56*n/3 + 8 = 0?
-2, 1, 2, 3
Factor p**3/3 + 3*p**2 + 20*p/3 + 4.
(p + 1)*(p + 2)*(p + 6)/3
Factor -3*k**4 - 381*k**3 - 11106*k**2 + 62964*k - 78408.
-3*(k - 3)*(k - 2)*(k + 66)**2
Factor 3*p**3/4 - 363*p**2/4 + 177*p/2 + 180.
3*(p - 120)*(p - 2)*(p + 1)/4
Factor -90*m**3 + 852*m**2 - 5522*m/5 + 1936/5.
-2*(m - 8)*(15*m - 11)**2/5
Determine y so that 2025*y**5 - 50940*y**4 + 298225*y**3 + 277070*y**2 + 76700*y + 6760 = 0.
-2/5, -2/9, 13
Factor 12*j**3 + 45*j**2 + 54*j + 21.
3*(j + 1)**2*(4*j + 7)
Solve -5*w**3/3 - 25*w**2/3 - 10*w = 0 for w.
-3, -2, 0
Determine m, given that -m**3/7 - 9*m**2/7 - 11*m/7 + 3 = 0.
-7, -3, 1
Suppose r**2/3 - 25*r/3 + 136/3 = 0. What is r?
8, 17
Factor -3*w**3/8 + 24*w**2.
-3*w**2*(w - 64)/8
Find w, given that -w**4/6 - 20*w**3 + 121*w**2/6 = 0.
-121, 0, 1
Factor -3*j**2 - 894*j + 897.
-3*(j - 1)*(j + 299)
Factor -4*d**2/17 + 14*d/17 - 6/17.
-2*(d - 3)*(2*d - 1)/17
Let 2*z**3 - 117*z**2/2 - 91*z/2 + 15 = 0. What is z?
-1, 1/4, 30
What is t in -9*t**4 - 21*t**3 + 24*t**2 + 84*t + 48 = 0?
-2, -4/3, -1, 2
Solve 2*d**2/9 - 76*d/3 - 464/9 = 0.
-2, 116
Solve -2*f**3/3 - 142*f**2/3 + 298*f/3 + 146 = 0 for f.
-73, -1, 3
Factor -2*d**3/15 + 14*d**2/15 + 8*d/15 - 56/15.
-2*(d - 7)*(d - 2)*(d + 2)/15
Factor 5*t**2 + 2410*t + 290405.
5*(t + 241)**2
Solve -2*x**4 + 10*x**3 - 16*x**2 + 8*x = 0.
0, 1, 2
Factor k**2/11 + k/11 - 20/11.
(k - 4)*(k + 5)/11
Solve -3*i**2/4 + 207*i = 0.
0, 276
Factor -4*q**2 - 1352*q - 2688.
-4*(q + 2)*(q + 336)
What is n in -2*n**4/7 - 558*n**3/7 + 570*n**2/7 + 2806*n/7 + 240 = 0?
-280, -1, 3
Factor 2*a**4/9 - 184*a**3/9 + 4412*a**2/9 - 920*a + 450.
2*(a - 45)**2*(a - 1)**2/9
Find g, given that -g**5 - 2*g**4 + 19*g**3 + 8*g**2 - 60*g = 0.
-5, -2, 0, 2, 3
Let -a**3 - 57*a**2/5 + 108*a/5 + 52/5 = 0. What is a?
-13, -2/5, 2
Suppose -4*g**5 + 72*g**4 - 192*g**3 + 184*g**2 - 60*g = 0. Calculate g.
0, 1, 15
What is t in -12*t**5 + 140*t**4 - 564*t**3 + 852*t**2 - 224*t - 192 = 0?
-1/3, 1, 3, 4
Find x, given that -x**4 + 27*x**3 + 1311*x**2 - 54487*x + 511014 = 0.
-42, 23
What is m in -2*m**5/7 + 20*m**4/7 + 6*m**3/7 - 64*m**2/7 + 40*m/7 = 0?
-2, 0, 1, 10
Factor -7*n**2/3 - 1628*n + 1396/3.
-(n + 698)*(7*n - 2)/3
Solve -2*i**5 + 7*i**4/2 + 49*i**3 - 52*i**2 - 272*i - 64 = 0 for i.
-4, -2, -1/4, 4
Solve -2*b**4/3 - 210*b**3 - 418*b**2 - 626*b/3 = 0.
-313, -1, 0
Factor 4*w**3/3 - 16*w**2 + 92*w/3 + 48.
4*(w - 9)*(w - 4)*(w + 1)/3
Factor 5*t**2 + 8710*t - 8715.
5*(t - 1)*(t + 1743)
Factor -4*t**2 - 72*t + 160.
-4*(t - 2)*(t + 20)
Find m, given that m**4/4 + 519*m**3/4 + 387*m**2 - m - 516 = 0.
-516, -2, 1
Let l**4/3 - 38*l**3 + 111*l**2 + 4*l/3 - 148 = 0. Calculate l.
-1, 2, 111
Factor 2*g**3/3 - 2*g**2/3 - 10*g/3 - 2.
2*(g - 3)*(g + 1)**2/3
Factor 28*z**4 - 208*z**3 + 504*z**2 - 432*z + 108.
4*(z - 3)**2*(z - 1)*(7*z - 3)
Factor -2*u**5 - 70*u**4 - 750*u**3 - 3250*u**2 - 5000*u.
-2*u*(u + 5)**3*(u + 20)
Let 34*z**2/15 - 14*z/5 + 8/15 = 0. What is z?
4/17, 1
Let 2*a**2/11 - 212*a - 4672/11 = 0. Calculate a.
-2, 1168
Find j such that -5*j**4/4 + 9*j**3/4 + j**2/2 = 0.
-1/5, 0, 2
Suppose -3*x**5/4 - 9*x**4/4 - 3*x**3/2 = 0. Calculate x.
-2, -1, 0
Factor 4*g**5 - 40*g**4 + 144*g**3 - 232*g**2 + 172*g - 48.
4*(g - 4)*(g - 3)*(g - 1)**3
Find u such that 2*u**2 + 120*u - 792 = 0.
-66, 6
Factor 5*j**2 + 61*j + 12.
(j + 12)*(5*j + 1)
Solve 17*x**5/5 - 66*x**4/5 - 552*x**3/5 - 64*x**2/5 = 0 for x.
-4, -2/17, 0, 8
Factor -3*a**2 + 285*a - 282.
-3*(a - 94)*(a - 1)
Factor z**2/3 + 4340*z/3 + 4708900/3.
(z + 2170)**2/3
Factor 3*z**2 - 32*z - 11.
(z - 11)*(3*z + 1)
Factor -l**3/6 - 59*l**2/6 - 899*l/6 - 841/6.
-(l + 1)*(l + 29)**2/6
Factor 6*m**4/11 - 102*m**3/11 + 54*m**2 - 1458*m/11 + 1296/11.
6*(m - 8)*(m - 3)**3/11
Find c such that 4*c**5 + 1252*c**4 + 98592*c**3 + 97344*c**2 = 0.
-156, -1, 0
Factor -w**2 - 150*w - 5625.
-(w + 75)**2
Factor 2*m**3/5 + 34*m**2/5 - 32*m + 168/5.
2*(m - 2)**2*(m + 21)/5
Suppose 16*l**5 + 12*l**4 - 148*l**3 - 108*l**2 + 36*l = 0. What is l?
-3, -1, 0, 1/4, 3
Factor a**3 - 32*a**2 + 197*a + 230.
(a - 23)*(a - 10)*(a + 1)
Factor 841*o**3/5 + 2581*o**2/5 + 35*o + 3/5.
(o + 3)*(29*o + 1)**2/5
Determine c so that 3*c**3/5 - 3267*c**2/5 + 1185921*c/5 - 143496441/5 = 0.
363
What is n in -4*n**3/7 - 232*n**2/7 - 3440*n/7 - 15200/7 = 0?
-38, -10
What is a in -5*a**5 - 5*a**4 + 5*a**3 + 5*a**2 = 0?
-1, 0, 1
Factor -3*h**2 - 558*h + 2865.
-3*(h - 5)*(h + 191)
Factor -64*p**2/5 - 10*p + 14/5.
-2*(p + 1)*(32*p - 7)/5
Factor 3*b**2/5 - 21*b/5 - 72.
3*(b - 15)*(b + 8)/5
Factor -p**4/8 + p**3/4 - p**2/8.
-p**2*(p - 1)**2/8
Factor -184*p**3/7 + 3670*p**2/7 - 2600*p - 1000/7.
-2*(p - 10)**2*(92*p + 5)/7
Find s, given that 2*s**4 - 8*s**3 - 26*s**2 + 80*s + 96 = 0.
-3, -1, 4
Solve -9*y**3/5 + 6*y**2 - 12*y/5 - 24/5 = 0.
-2/3, 2
What is m in -2*m**5 - 32*m**4 - 60*m**3 + 224*m**2 - 130*m = 0?
-13, -5, 0, 1
What is r in 2*r**4/9 - 4*r**3/3 + 8*r**2/3 - 16*r/9 = 0?
0, 2
Solve h**2 - 695*h - 696 = 0 for h.
-1, 696
Factor 4*v**4 - 3392*v**3 + 719104*v**2.
4*v**2*(v - 424)**2
Let 3*s**2/2 - 120*s + 2400 = 0. What is s?
40
Factor 4*b**3/9 - 50*b**2/9 - 26*b/9.
2*b*(b - 13)*(2*b + 1)/9
Suppose 138*t**3 - 159*t**2 - 214*t/3 - 1 = 0. Calculate t.
-1/3, -1/69, 3/2
Find z, given that -z**4/2 + 5*z**3/2 + 31*z**2/2 + 43*z/2 + 9 = 0.
-2, -1, 9
What is y in -4*y**2/3 + 104*y/3 - 676/3 = 0?
13
Factor 3*t**4 - 150*t**3 - 468*t**2 - 474*t - 159.
3*(t - 53)*(t + 1)**3
Suppose q**3/2 - 17*q**2/2 - q/2 + 17/2 = 0. Calculate q.
-1, 1, 17
Solve -c**3/10 + 3*c**2/10 - c/5 = 0.
0, 1, 2
Factor q**3/10 + 21*q**2/5 - 87*q/10 + 22/5.
(q - 1)**2*(q + 44)/10
Factor 2*p**3/19 + 820*p**2/19 + 84050*p/19.
2*p*(p + 205)**2/19
Factor -s**4/4 - 57*s**3 - 9747*s**2/2 - 185193*s - 10556001/4.
-(s + 57)**4/4
Determine l so that 5*l**2/4 + 6135*l/4 = 0.
-1227, 0
Suppose -105*o**2 - 3*o + 18 = 0. Calculate o.
-3/7, 2/5
Factor 1045*n**4 + 3145*n**3 + 3165*n**2 + 1075*n + 10.
5*(n + 1)**3*(209*n + 2)
Factor 2*a**5 - 6*a**4 + 6*a**3 - 2*a**2.
2*a**2*(a - 1)**3
Factor n**2/4 + 63*n/2.
n*(n + 126)/4
Factor 2*p**3 - 58*p**2 + 190*p + 250.
2*(p - 25)*(p - 5)*(p + 1)
Find r such that 81*r**5/4 + 243*r**4/4 + 279*r**3/4 + 153*r**2/4 + 10*r + 1 = 0.
-1, -2/3, -1/3
Solve -2*u**3 - 4962*u**2 - 4103574*u - 1131218566 = 0.
-827
Factor -2*t**2 - 6*t + 416.
-2*(t - 13)*(t + 16)
Factor f**3/6 - 13*f**2/6 + 9*f - 12.
(f - 6)*(f - 4)*(f - 3)/6
Factor t**5 - 5*t**4 + 3*t**3 + 5*t**2 - 4*t.
t*(t - 4)*(t - 1)**2*(t + 1)
Factor -5*x**5 + 10*x**4.
-5*x**4*(x - 2)
Determine w so that -2*w**3 + 88*w**2 + 8*w - 352 = 0.
-2, 2, 44
Suppose 7*f**4 - 107*f**3 + 30*f**2 + 3500*f - 1000 = 0. What is f?
-5, 2/7, 10
Suppose 35*h**2 + 5*h - 30 = 0. Calculate h.
-1, 6/7
Factor d**5/7 - 3*d**4/7 + d**3/7 