 + 2)*(d + 175)
Suppose -2*a**4/3 + 36*a**3 - 1016*a**2/3 + 1020*a - 2150/3 = 0. Calculate a.
1, 5, 43
Determine t, given that -5*t**2 + 12340*t - 7613780 = 0.
1234
Solve -3*i**3/4 + 429*i**2/4 - 423*i/2 = 0.
0, 2, 141
Factor 4*z**3/5 - 4*z**2 + 32*z/5 - 16/5.
4*(z - 2)**2*(z - 1)/5
Factor 4*i**5 + 116*i**4 + 856*i**3 + 1912*i**2 + 1700*i + 532.
4*(i + 1)**3*(i + 7)*(i + 19)
Factor -y**5 - 7*y**4 - 6*y**3.
-y**3*(y + 1)*(y + 6)
Determine s so that 3*s**2/7 + 150*s/7 - 477/7 = 0.
-53, 3
Find u, given that -u**2 + 144*u - 5184 = 0.
72
Let 2*p**4/9 + 176*p**3/9 + 112*p**2/3 - 704*p/9 - 1376/9 = 0. What is p?
-86, -2, 2
Factor -8*k**3/9 + 8*k**2 - 22*k/3 + 16/9.
-2*(k - 8)*(2*k - 1)**2/9
Let 4*j**2 - 187*j + 138 = 0. What is j?
3/4, 46
Factor -5*g**2 - 75*g - 70.
-5*(g + 1)*(g + 14)
Factor -q**4/3 + 14*q**3/3 + 32*q**2/3.
-q**2*(q - 16)*(q + 2)/3
Determine z, given that 4*z**4 - 4*z**3 - 24*z**2 + 16*z + 32 = 0.
-2, -1, 2
Factor t**5 - 76*t**4 + 1365*t**3 + 3042*t**2.
t**2*(t - 39)**2*(t + 2)
Factor -f**5 - 153*f**4 + 154*f**3.
-f**3*(f - 1)*(f + 154)
Let j**4/5 + 58*j**3/5 + 168*j**2/5 + 166*j/5 + 11 = 0. Calculate j.
-55, -1
Determine i, given that -10*i**2 - 85*i - 40 = 0.
-8, -1/2
Factor 4*y**2 + 4168*y - 4172.
4*(y - 1)*(y + 1043)
Determine c so that c**3/4 + 10*c**2 + 77*c/4 + 19/2 = 0.
-38, -1
Find l, given that -l**5 + 59*l**3 + 54*l**2 - 112*l = 0.
-7, -2, 0, 1, 8
Factor -l**3/5 - 382*l**2/5 + l/5 + 382/5.
-(l - 1)*(l + 1)*(l + 382)/5
Find c, given that -2*c**3 + 182*c**2 + 188*c - 368 = 0.
-2, 1, 92
Factor 4*f**2/7 + 1012*f/7 + 3984/7.
4*(f + 4)*(f + 249)/7
Factor 4*j**3/9 - 76*j**2/9 + 448*j/9 - 256/3.
4*(j - 8)**2*(j - 3)/9
What is n in -n**3 - 1936*n**2 - 3869*n - 1934 = 0?
-1934, -1
Suppose -n**5/7 + 3*n**4/7 + 30*n**3/7 - 2*n**2/7 - 93*n/7 + 9 = 0. Calculate n.
-3, 1, 7
Factor -3*i**4 - 129*i**3 - 843*i**2 + 12225*i - 11250.
-3*(i - 6)*(i - 1)*(i + 25)**2
Let j**5 + 8*j**4/3 + j**3 - 2*j**2/3 = 0. What is j?
-2, -1, 0, 1/3
Let -w**2/2 - w + 3/2 = 0. Calculate w.
-3, 1
Factor -3*l**4 - 6*l**3 + 75*l**2 + 150*l.
-3*l*(l - 5)*(l + 2)*(l + 5)
Factor -t**3/2 + 449*t**2/2 + 225*t.
-t*(t - 450)*(t + 1)/2
Factor 4*o**5/3 - 28*o**4/3 + 4*o**3 + 92*o**2/3 - 128*o/3 + 16.
4*(o - 6)*(o - 1)**3*(o + 2)/3
What is f in 4*f**2 + 28*f + 48 = 0?
-4, -3
Let 3*s**5 - 42*s**4 + 159*s**3 + 24*s**2 - 612*s - 432 = 0. Calculate s.
-1, 4, 6
Factor -j**5 + 20*j**4 - 81*j**3 + 90*j**2.
-j**2*(j - 15)*(j - 3)*(j - 2)
Determine y, given that -260*y**3 + 428*y**2 - 136*y - 32 = 0.
-2/13, 4/5, 1
Factor -2*x**4 - 4*x**3 + 48*x**2.
-2*x**2*(x - 4)*(x + 6)
Factor -a**4/7 - 4*a**3 + 31*a**2/7 + 58*a/7.
-a*(a - 2)*(a + 1)*(a + 29)/7
Factor -2*i**2 - 20*i - 50.
-2*(i + 5)**2
Determine d, given that -6*d**5/11 + 12*d**4/11 + 120*d**3/11 - 12*d**2 - 114*d/11 + 120/11 = 0.
-4, -1, 1, 5
Factor 2*s**3/7 - 68*s**2 + 26840*s/7 + 178608/7.
2*(s - 122)**2*(s + 6)/7
Find w, given that 2*w**2/9 - 2*w/3 + 4/9 = 0.
1, 2
Factor 2*i**3/15 + 44*i**2/15 - 46*i/15.
2*i*(i - 1)*(i + 23)/15
Factor -8*j**2/7 - 35690*j/7 - 8922/7.
-2*(j + 4461)*(4*j + 1)/7
Factor z**3/6 + 67*z**2/6 + 32*z/3 - 22.
(z - 1)*(z + 2)*(z + 66)/6
Suppose 2*i**5/15 + 14*i**4/15 - 22*i**3/15 - 46*i**2/15 + 4*i/3 + 32/15 = 0. Calculate i.
-8, -1, 1, 2
Factor 27*g**3/2 + 3138*g**2 + 359775*g/2 - 287469.
3*(g + 117)**2*(9*g - 14)/2
Determine u so that -2*u**3 + 8*u**2 - 8*u = 0.
0, 2
Determine z, given that 67*z**2 + 130*z - 8 = 0.
-2, 4/67
Determine o so that o**3 - 176*o**2 + 7380*o + 32400 = 0.
-4, 90
Suppose -2*i**4/5 - 88*i**3/5 - 668*i**2/5 + 1320*i - 2250 = 0. Calculate i.
-25, 3
Find p such that -p**5/7 - 4*p**4/7 + 7*p**3 - 104*p**2/7 + 60*p/7 = 0.
-10, 0, 1, 2, 3
Let -2*h**2/13 - 80*h/13 + 264 = 0. Calculate h.
-66, 26
Find k such that -2*k**5 + 84*k**4 + 264*k**3 + 268*k**2 + 90*k = 0.
-1, 0, 45
Determine x so that 18*x**4/19 + 6*x**3 - 226*x**2/19 + 110*x/19 - 16/19 = 0.
-8, 1/3, 1
Factor -5*t**3 - 165*t**2 - 1275*t + 1445.
-5*(t - 1)*(t + 17)**2
Solve -4*r**2 - 2046*r + 1024 = 0 for r.
-512, 1/2
Factor -4*t**3 - 40*t**2 - 117*t - 81.
-(t + 1)*(2*t + 9)**2
Solve x**2 - 59*x - 186 = 0 for x.
-3, 62
Find z such that -2*z**3 - 18*z**2 + 44*z = 0.
-11, 0, 2
Factor 3*h**2 + 36*h - 192.
3*(h - 4)*(h + 16)
What is a in 4*a**4 - 8*a**3 - 4*a**2 + 8*a = 0?
-1, 0, 1, 2
Factor -3*a**4 - 9*a**3 - 6*a**2.
-3*a**2*(a + 1)*(a + 2)
Determine w so that -5*w**3 + 10*w**2 + 1275*w = 0.
-15, 0, 17
Find a such that -41*a**4/2 - a**3/2 + 123*a**2/2 - 79*a/2 - 1 = 0.
-2, -1/41, 1
Determine v so that 2*v**5 + 80*v**4 + 872*v**3 + 1364*v**2 - 874*v - 1444 = 0.
-19, -2, -1, 1
Suppose -2*l**3/15 + 64*l**2/15 + 46*l/3 - 140/3 = 0. What is l?
-5, 2, 35
Factor 2*i**5 - 2*i**4 - 12*i**3 + 28*i**2 - 22*i + 6.
2*(i - 1)**4*(i + 3)
Solve -2*a**4 + 12*a**3 + 30*a**2 - 200*a = 0.
-4, 0, 5
Factor 2*u**4/15 + 14*u**3/15 - 34*u**2/15 + 6*u/5.
2*u*(u - 1)**2*(u + 9)/15
Determine t, given that 3*t**2 + 16269*t - 16272 = 0.
-5424, 1
Determine a so that 4*a**4/3 - 30*a**3 + 222*a**2 - 1910*a/3 + 550 = 0.
3/2, 5, 11
Find l, given that l**2 - 174*l - 352 = 0.
-2, 176
Factor -4*z**3 + 144*z**2 - 1680*z + 6272.
-4*(z - 14)**2*(z - 8)
Factor -c**4 - 6*c**3 + 16*c**2 + 96*c.
-c*(c - 4)*(c + 4)*(c + 6)
Find p, given that -3*p**4/4 + 915*p**3/4 - 228*p**2 = 0.
0, 1, 304
Factor 4*m**4 - 61*m**3 - 121*m**2 + 34*m.
m*(m - 17)*(m + 2)*(4*m - 1)
Factor 4*t**2/7 - 8*t/7.
4*t*(t - 2)/7
Factor d**4 - 2*d**3 - 11*d**2 + 12*d + 36.
(d - 3)**2*(d + 2)**2
Let -s**4 + 18*s**3 - 45*s**2 - 4*s + 60 = 0. What is s?
-1, 2, 15
Determine h, given that 3*h**5 - 18*h**4 - 72*h**3 + 240*h**2 + 1008*h + 864 = 0.
-2, 6
Find q, given that 4*q**2 + 5204*q + 10392 = 0.
-1299, -2
Determine j so that 2*j**2 + 9344*j + 10913792 = 0.
-2336
Find h, given that 5*h**5/2 - 15*h**3 - 20*h**2 - 15*h/2 = 0.
-1, 0, 3
Let g**2 - 11*g + 24 = 0. What is g?
3, 8
Find g such that g**3/2 + 73*g**2/2 + 140*g + 138 = 0.
-69, -2
Suppose -v**3/3 - 2*v**2/3 - v/3 = 0. Calculate v.
-1, 0
Let 8*d**2 + 473*d + 59 = 0. Calculate d.
-59, -1/8
Factor -5*u**3 + 20*u**2 + 75*u - 90.
-5*(u - 6)*(u - 1)*(u + 3)
Solve 4*a**3 + 456*a**2 + 900*a + 448 = 0 for a.
-112, -1
Let 3*h**3/7 - 1422*h**2/7 + 224676*h/7 - 11832936/7 = 0. Calculate h.
158
Factor -5*b**4 - 265*b**3 + 270*b**2.
-5*b**2*(b - 1)*(b + 54)
Determine x so that -15*x**4 - 95*x**3 + 735*x**2 - 405*x - 220 = 0.
-11, -1/3, 1, 4
Suppose 4*i**5 + 312*i**4 - 316*i**3 = 0. Calculate i.
-79, 0, 1
Let l**4/3 - 8*l**3/3 + 11*l**2/3 + 20*l/3 = 0. Calculate l.
-1, 0, 4, 5
Factor k**3/3 + 1204*k**2 + 1449616*k + 1745337664/3.
(k + 1204)**3/3
Determine i so that -4*i**2/7 + 312*i/7 - 1728/7 = 0.
6, 72
Factor 2*h**2 + 22*h + 20.
2*(h + 1)*(h + 10)
Factor 3*n**4/7 - 53*n**3/7 + 225*n**2/7 + 81*n/7.
n*(n - 9)**2*(3*n + 1)/7
Factor 3*a**2 + 54*a - 57.
3*(a - 1)*(a + 19)
Find i such that -2*i**3/9 - 88*i**2/3 + 736*i/3 - 4480/9 = 0.
-140, 4
Factor -27*y**3 - 9*y**2 + 1023*y + 2541.
-3*(y - 7)*(3*y + 11)**2
What is m in -18*m**5/5 + 3154*m**4/5 - 3814*m**3/5 - 2458*m**2/5 + 3832*m/5 - 696/5 = 0?
-1, 2/9, 1, 174
Factor k**4/7 + 348*k**3/7 - 405*k**2 + 4622*k/7 - 2136/7.
(k - 6)*(k - 1)**2*(k + 356)/7
Factor -4*m**3 + 69*m**2 - 206*m - 195.
-(m - 13)*(m - 5)*(4*m + 3)
Determine j, given that 5*j**3 - 6380*j**2 = 0.
0, 1276
Factor 15*k**2 + 155*k + 330.
5*(k + 3)*(3*k + 22)
Suppose 9*b**5 - 60*b**4 + 141*b**3 - 126*b**2 + 12*b + 24 = 0. What is b?
-1/3, 1, 2
Suppose -2*j**2 - 32*j - 56 = 0. Calculate j.
-14, -2
Factor 29*v**3/4 + 871*v**2/2 + 30*v.
v*(v + 60)*(29*v + 2)/4
Factor -36*i**4 - 8*i**3 + 36*i**2 + 8*i.
-4*i*(i - 1)*(i + 1)*(9*i + 2)
Determine q so that 2*q**5/9 + 2*q**4 + 6*q**3 + 46*q**2/9 - 16*q/3 - 8 = 0.
-3, -2, 1
Suppose -v**5/5 + 31*v**4/5 - 84*v**3/5 - 4*v**2/5 + 112*v/5 = 0. What is v?
-1, 0, 2, 28
Solve -g**3/5 + 26*g**2/5 - 27*g - 162/5 = 0 for g.
-1, 9, 18
Factor 3*q**2/4 - 411*q/2 + 56307/4.
3*(q - 137)**2/4
Factor -3*v**4 + 39*v**3 + 246*v**2 + 420*v + 216.
-3*(v - 18)*(v + 1)*(v + 2)**2
Determine z, given that z**2/5 - 29*z/5 = 0.
0, 29
Solve -14*n**4 + 124*n**3/3 - 88*n**2/3 + 16*n/3 = 0.
0, 2/7, 2/3, 2
Factor -3*z**3 - 9*z**2 + 30*z.
-3*z*(z - 2)*(z + 5)
Find x, given that 3*x**3 + 363*x**2 + 11160*x + 10800 = 0.
-60, -1
Factor 8*d**3/3 - 34*d**