- 1)**2
Let -2*a**2/5 - 28*a - 138/5 = 0. What is a?
-69, -1
Factor 4*t**3 + 16*t**2 - 268*t - 280.
4*(t - 7)*(t + 1)*(t + 10)
Suppose -2*c**3/3 - 10*c**2 - 64*c/3 + 32 = 0. Calculate c.
-12, -4, 1
Let -d**3 + 120*d**2 - 119*d = 0. What is d?
0, 1, 119
Determine r, given that -4*r**4 - 104*r**3 - 436*r**2 + 3120*r - 3600 = 0.
-15, 2
Solve -w**2/2 + 89*w - 7921/2 = 0.
89
Factor n**5/7 - 18*n**4/7 + 32*n**3/7 + 2*n**2/7 - 33*n/7 + 16/7.
(n - 16)*(n - 1)**3*(n + 1)/7
Suppose -7*k**4/6 + 55*k**3/3 + 277*k**2/6 + 98*k/3 + 6 = 0. What is k?
-1, -2/7, 18
Factor v**4/8 - 3*v**3/4 - 7*v**2/8.
v**2*(v - 7)*(v + 1)/8
Find w such that -7*w**4 - 37*w**3 - 52*w**2 - 12*w = 0.
-3, -2, -2/7, 0
Factor 4*x**3 - 60*x**2 - 288*x - 304.
4*(x - 19)*(x + 2)**2
Factor 4*l**3/7 + 20*l**2/7 + 8*l/7 - 32/7.
4*(l - 1)*(l + 2)*(l + 4)/7
Factor -m**3/2 - 2159*m**2/2 + 4321*m/2 - 2161/2.
-(m - 1)**2*(m + 2161)/2
Factor -m**2 + 655*m - 2604.
-(m - 651)*(m - 4)
Factor -10*u**3/3 - 1658*u**2/3 - 3226*u - 4794.
-2*(u + 3)**2*(5*u + 799)/3
Factor -4*l**3/3 - 8*l**2/3 + 4*l.
-4*l*(l - 1)*(l + 3)/3
Let 2*c**3/5 + 42*c**2/5 + 112*c/5 + 72/5 = 0. What is c?
-18, -2, -1
Find r, given that -r**5/3 + 20*r**4/3 - 3*r**3 - 182*r**2/3 - 152*r/3 = 0.
-2, -1, 0, 4, 19
Determine b, given that 3*b**3 + 558*b**2 - 1125*b + 564 = 0.
-188, 1
Let -5*l**3 + 935*l**2 + 2840*l + 1900 = 0. Calculate l.
-2, -1, 190
Factor -5*c**4 - 30*c**3 - 40*c**2.
-5*c**2*(c + 2)*(c + 4)
Solve -315*o**5 - 183*o**4 + 120*o**3 - 12*o**2 = 0.
-1, 0, 2/15, 2/7
Factor -5*t**4 - 65*t**3 - 110*t**2.
-5*t**2*(t + 2)*(t + 11)
Let -2*x**2 + 1632*x - 332928 = 0. What is x?
408
Solve -2*a**5/5 + a**4/5 + 17*a**3/5 + a**2 - 27*a/5 - 18/5 = 0 for a.
-2, -1, 3/2, 3
Factor -4*l**4/7 + 396*l**3/7 - 8268*l**2/7 - 11236*l.
-4*l*(l - 53)**2*(l + 7)/7
Factor -5*s**4 + 10*s**3 + 140*s**2 + 230*s + 105.
-5*(s - 7)*(s + 1)**2*(s + 3)
Let k**2 - 10*k + 16 = 0. Calculate k.
2, 8
Factor 4*k**2 + 84*k + 152.
4*(k + 2)*(k + 19)
Solve -4*k**3 + 216*k**2 - 212*k = 0.
0, 1, 53
Factor 2*s**3 - 20*s**2 - 288*s.
2*s*(s - 18)*(s + 8)
Let -16*l**4/5 - 4316*l**3/5 - 294792*l**2/5 - 500624*l/5 + 143648/5 = 0. What is l?
-134, -2, 1/4
Let -j**3 + 123*j**2 - 5043*j + 68921 = 0. Calculate j.
41
Find l such that 98*l**5/13 + 448*l**4/13 - 39262*l**3/13 - 386900*l**2/13 - 16264*l - 2288 = 0.
-13, -2/7, 22
Factor -x**2/4 + 17*x - 289.
-(x - 34)**2/4
Factor a**4/6 - 7*a**3/3 + 10*a**2/3 + 28*a/3 - 16.
(a - 12)*(a - 2)**2*(a + 2)/6
Factor 3*u**4 + 1107*u**3 - 4461*u**2 + 5589*u - 2238.
3*(u - 2)*(u - 1)**2*(u + 373)
Let 2*v**4 + 888*v**3 + 135564*v**2 + 7688824*v + 87726210 = 0. Calculate v.
-143, -15
Determine u, given that -3*u**5 - 103*u**4 + 73*u**3 + 103*u**2 - 70*u = 0.
-35, -1, 0, 2/3, 1
What is g in g**3/2 + 440*g**2 + 1757*g/2 + 439 = 0?
-878, -1
Let u**5/5 - u**4 - 39*u**3/5 + 53*u**2 - 70*u = 0. Calculate u.
-7, 0, 2, 5
Let -2*i**4 + 4*i**3 + 46*i**2 - 48*i - 288 = 0. What is i?
-3, 4
Determine b so that -1029*b**4 + 2940*b**3 - 2016*b**2 + 528*b - 48 = 0.
2/7, 2
Determine d, given that 3*d**3 - 3*d**2 - 27*d + 27 = 0.
-3, 1, 3
Factor -2*j**3/9 - 28*j**2/3 + 8*j/9 + 112/3.
-2*(j - 2)*(j + 2)*(j + 42)/9
Solve w**3 + 9*w**2 + 14*w = 0.
-7, -2, 0
Factor x**4/7 + 33*x**3/7 + 31*x**2/7 - 33*x/7 - 32/7.
(x - 1)*(x + 1)**2*(x + 32)/7
Find u, given that -u**3/4 + 32*u**2 - 491*u/4 - 155 = 0.
-1, 5, 124
Factor -2*x**4/3 + 4*x**3 - 22*x**2/3 + 4*x.
-2*x*(x - 3)*(x - 2)*(x - 1)/3
Factor 3*v**2 + 84*v + 225.
3*(v + 3)*(v + 25)
What is x in 6*x**4 + 183*x**3 + 432*x**2 + 339*x + 84 = 0?
-28, -1, -1/2
What is a in -2*a**2/3 - 70*a = 0?
-105, 0
Solve 5*l**5 + 20*l**4 - 70*l**2 - 85*l - 30 = 0 for l.
-3, -1, 2
Determine q so that q**3 + 11*q**2 - 62*q - 720 = 0.
-10, -9, 8
Factor 4*r**3/5 - 12*r**2/5 - 48*r - 80.
4*(r - 10)*(r + 2)*(r + 5)/5
Let -9*b**5/4 + 15*b**4/4 + 33*b**3/4 + 9*b**2/4 = 0. Calculate b.
-1, -1/3, 0, 3
Find f, given that -2*f**2/13 - 46*f/13 = 0.
-23, 0
Factor 2*v**3 + 20532*v**2 + 70260504*v + 80143814896.
2*(v + 3422)**3
Determine f so that -f**5/3 + 13*f**4/3 - 16*f**3 + 12*f**2 = 0.
0, 1, 6
Find y such that 4*y**3/5 - 472*y**2/5 + 2708*y/5 - 448 = 0.
1, 5, 112
Factor -3*f**3/7 - 174*f**2/7 - 171*f/7.
-3*f*(f + 1)*(f + 57)/7
Factor -4*l**2 + 140*l - 264.
-4*(l - 33)*(l - 2)
Factor 324*n**3 - 7956*n**2 - 3584*n - 400.
4*(n - 25)*(9*n + 2)**2
Factor 3*p**3 - 13*p**2 - 29*p/3 - 5/3.
(p - 5)*(3*p + 1)**2/3
Solve a**5/8 - a**3/4 + a/8 = 0 for a.
-1, 0, 1
Factor 2*m**3 + 158*m**2/9 - 108*m + 208/9.
2*(m - 4)*(m + 13)*(9*m - 2)/9
Let b**4/4 - 10*b**3 + 19*b**2 = 0. Calculate b.
0, 2, 38
Factor -3*a**2/5 + 114*a/5 - 1083/5.
-3*(a - 19)**2/5
Solve -21*q**5 - 750*q**4 - 3996*q**3 - 7698*q**2 - 6303*q - 1872 = 0.
-208/7, -3, -1
Factor -2*w**4 + 26*w**3 - 90*w**2 - 50*w + 500.
-2*(w - 5)**3*(w + 2)
Factor 5*i**3/8 + 91*i**2/4 + 247*i/8 + 35/4.
(i + 1)*(i + 35)*(5*i + 2)/8
Factor y**4/4 + 8*y**3 + 341*y**2/4 + 605*y/2.
y*(y + 10)*(y + 11)**2/4
Factor 2*c**2 + 62*c + 168.
2*(c + 3)*(c + 28)
Let -g**5 + 4*g**4 - 4*g**3 = 0. What is g?
0, 2
Let -16*d**5 + 4*d**4 + 240*d**3 + 100*d**2 - 424*d + 96 = 0. What is d?
-3, -2, 1/4, 1, 4
Factor 2*u**4 - 6*u**3 + 2*u**2 + 6*u - 4.
2*(u - 2)*(u - 1)**2*(u + 1)
What is i in -3*i**2 + 9*i/2 + 15/2 = 0?
-1, 5/2
Find m, given that -2*m**2 + 122*m = 0.
0, 61
Find i, given that -3*i**2 - 342*i + 1416 = 0.
-118, 4
Let -45*v**5 + 165*v**4 - 185*v**3 + 75*v**2 - 10*v = 0. Calculate v.
0, 1/3, 1, 2
Factor -2*d**3/11 - 48*d**2/11 + 170*d/11 + 216/11.
-2*(d - 4)*(d + 1)*(d + 27)/11
Factor -3*c**4/7 + 342*c**3/7 - 13320*c**2/7 + 188922*c/7 - 455877/7.
-3*(c - 37)**3*(c - 3)/7
Factor -2*g**2/5 - 352*g/5 - 15488/5.
-2*(g + 88)**2/5
Suppose -6*x**2 + 74*x - 124 = 0. What is x?
2, 31/3
Determine y so that 5*y**5 - 15*y**4 + 5*y**3 + 15*y**2 - 10*y = 0.
-1, 0, 1, 2
Let -2*z**2 - 54*z - 144 = 0. Calculate z.
-24, -3
Suppose 2*q**4/5 + 28*q**3/5 + 78*q**2/5 - 108*q/5 = 0. Calculate q.
-9, -6, 0, 1
Determine a so that -2*a**4 - 14*a**3 + 150*a**2 + 1134*a + 972 = 0.
-9, -6, -1, 9
Factor 3*l**4 + 237*l**3 + 5004*l**2 + 12084*l - 17328.
3*(l - 1)*(l + 4)*(l + 38)**2
Find o such that -2*o**4 - 86*o**3 - 1110*o**2 - 3914*o - 2888 = 0.
-19, -4, -1
Factor k**5/4 + 3*k**4/2 + 5*k**3/4.
k**3*(k + 1)*(k + 5)/4
Factor 3*b**5 + 69*b**4 + 429*b**3 + 363*b**2.
3*b**2*(b + 1)*(b + 11)**2
Determine k, given that 5*k**4 + 65*k**3 + 270*k**2 + 460*k + 280 = 0.
-7, -2
Let -3*z**5/5 - 99*z**4 + 1503*z**3/5 - 1509*z**2/5 + 504*z/5 = 0. What is z?
-168, 0, 1
Factor -5*k**2 - 140*k - 135.
-5*(k + 1)*(k + 27)
Factor h**4/10 + 4*h**3 + 158*h**2/5 + 48*h.
h*(h + 2)*(h + 8)*(h + 30)/10
Factor -24*x**3 + 1836*x**2 + 1845*x/2 + 231/2.
-3*(x - 77)*(4*x + 1)**2/2
Factor -3*w**2/7 + 7494*w/7 - 4680003/7.
-3*(w - 1249)**2/7
What is x in 3*x**3 - 42*x**2 - 3*x + 42 = 0?
-1, 1, 14
Determine x, given that -x**2/3 - 2*x/3 + 1 = 0.
-3, 1
Factor 2*p**2/3 + 1164*p + 508086.
2*(p + 873)**2/3
Suppose -3*u**2 - 18*u - 27 = 0. What is u?
-3
Let -3*q**4/4 - 18*q**3 - 162*q**2 - 648*q - 972 = 0. What is q?
-6
Suppose 5*d**5 + 380*d**4 - 3250*d**3 + 9120*d**2 - 10035*d + 3780 = 0. What is d?
-84, 1, 3
Solve -f**4/9 + 7*f**3/9 + 43*f**2/9 + 17*f/9 - 22/3 = 0 for f.
-3, -2, 1, 11
Solve -3*k**5 + 153*k**4 - 543*k**3 - 1017*k**2 + 1410*k = 0 for k.
-2, 0, 1, 5, 47
Determine r so that -r**5/3 - 2*r**4/3 + 4*r**3 + 6*r**2 - 9*r = 0.
-3, 0, 1, 3
Determine d, given that 35*d**5 - 25*d**4 - 185*d**3 - 155*d**2 - 30*d = 0.
-1, -2/7, 0, 3
Suppose -d**3/6 - 73*d**2/2 - 430*d/3 = 0. Calculate d.
-215, -4, 0
Suppose u**5/6 + 10*u**4/3 - 88*u**3/3 + 59*u**2 + 21*u/2 - 81 = 0. What is u?
-27, -1, 2, 3
Solve 3*z**2/2 + 18*z + 33/2 = 0 for z.
-11, -1
What is l in -2*l**2 - 122*l - 236 = 0?
-59, -2
Factor 2*z**3/9 - 82*z**2/9 - 188*z/9 + 688/9.
2*(z - 43)*(z - 2)*(z + 4)/9
Factor 2*p**5/9 + 70*p**4/9 + 100*p**3 + 5000*p**2/9 + 10000*p/9.
2*p*(p + 5)*(p + 10)**3/9
Factor 2*c**3/5 + 32*c**2/5 - 14*c + 36/5.
2*(c - 1)**2*(c + 18)/5
Factor 665*z**3 + 2005*z**2 + 1360*z + 20.
5*(z + 1)*(z + 2)*(133*z + 2)
Factor 3521858*c**2/9 + 5308*c/9 + 2/9.
2*(1327*c + 1)**2/9
Determine s, given that -40*s**4/7 - 184*s**3/7 - 306*s**2/7 - 216*s/7 - 54/7 = 0.
-3/2, -1, -3/5
Let 3*l**2 - 15*l + 12 = 0. What is l?
1, 4