2/3
Factor 3*w**3 + 45*w**2 + 42*w.
3*w*(w + 1)*(w + 14)
What is s in s**5/3 + 59*s**4/3 + 167*s**3/3 - 59*s**2/3 - 56*s = 0?
-56, -3, -1, 0, 1
Let 24*u**3 + 44*u**2 + 20*u = 0. Calculate u.
-1, -5/6, 0
Factor s**3 - 136*s**2 + 135*s.
s*(s - 135)*(s - 1)
Let 5*x**5 - 80*x**4 + 260*x**3 + 430*x**2 - 265*x - 350 = 0. What is x?
-1, 1, 7, 10
Suppose -5*c**3 - 16730*c**2 - 33445*c - 16720 = 0. What is c?
-3344, -1
Find t, given that t**3 - 57*t**2 + 111*t - 55 = 0.
1, 55
Factor -a**4 + 469*a**3 + 941*a**2 + 471*a.
-a*(a - 471)*(a + 1)**2
Suppose -2*q**5/9 - 2*q**4/9 + 2*q**3/3 + 10*q**2/9 + 4*q/9 = 0. What is q?
-1, 0, 2
Find g, given that 2*g**4/11 + 26*g**3/11 + 20*g**2/11 - 48*g/11 = 0.
-12, -2, 0, 1
Find q such that 22*q**4/7 + 260*q**3/7 + 744*q**2/7 - 144*q/7 = 0.
-6, 0, 2/11
Factor 14*a**2/3 + 10*a - 72.
2*(a - 3)*(7*a + 36)/3
Factor 2*i**4/19 + 12*i**3/19 - 2*i**2/19 - 12*i/19.
2*i*(i - 1)*(i + 1)*(i + 6)/19
What is q in -q**2 - 34*q + 240 = 0?
-40, 6
Suppose -2*c**4/3 - 20*c**3/3 + 56*c**2/3 + 80*c/3 - 64 = 0. Calculate c.
-12, -2, 2
Factor 4*u**3 - 28*u**2 + 40*u.
4*u*(u - 5)*(u - 2)
Solve 5*d**2 + 44370*d + 98434845 = 0 for d.
-4437
Solve -i**3 + 45*i**2 + 148*i - 192 = 0 for i.
-4, 1, 48
Suppose 3*n**4 + 399*n**3 + 2313*n**2 + 3429*n = 0. Calculate n.
-127, -3, 0
Factor -2*d**3/23 + 24*d/23 - 32/23.
-2*(d - 2)**2*(d + 4)/23
Let 2*k**3/3 - 20*k**2/3 + 32*k/3 = 0. Calculate k.
0, 2, 8
Suppose 4*i**2 - 936*i + 5472 = 0. Calculate i.
6, 228
Solve 3*u**2 - 270*u + 6075 = 0.
45
Find h, given that -2*h**5/5 + 12*h**4/5 - 22*h**3/5 + 12*h**2/5 = 0.
0, 1, 2, 3
Determine z so that 5*z**2 - 580*z + 9975 = 0.
21, 95
Let 3*q**4 + 45*q**3 - 504*q**2 + 1104*q = 0. Calculate q.
-23, 0, 4
Let -2*a**2/5 - 474*a/5 - 472/5 = 0. What is a?
-236, -1
Suppose -l**5/5 - 7*l**4/5 + 18*l**3/5 = 0. What is l?
-9, 0, 2
Factor d**3 + 126*d**2 + 123*d - 250.
(d - 1)*(d + 2)*(d + 125)
Factor 10*g**2 + 185*g - 95.
5*(g + 19)*(2*g - 1)
Factor 4*h**2/5 - 156*h/5 + 152/5.
4*(h - 38)*(h - 1)/5
Find g such that 2*g**3 + 14*g**2 + 24*g = 0.
-4, -3, 0
Factor -2*b**3 - 8*b**2 - 10*b - 4.
-2*(b + 1)**2*(b + 2)
Factor -3*n**2/7 + 327*n/7 + 144.
-3*(n - 112)*(n + 3)/7
Factor -26*x**3/3 - 9*x**2 + 17*x + 2/3.
-(x - 1)*(x + 2)*(26*x + 1)/3
Let t**3 - 20*t**2 + 100*t = 0. What is t?
0, 10
Find s such that -4*s**4 - 12*s**3 + 52*s**2 + 108*s - 144 = 0.
-4, -3, 1, 3
Factor -2*x**2/3 - 4*x - 10/3.
-2*(x + 1)*(x + 5)/3
Factor -o**4 - 21*o**3 - 118*o**2 - 60*o + 200.
-(o - 1)*(o + 2)*(o + 10)**2
Find u, given that 16*u**4 + 5688*u**3 + 674028*u**2 + 26624106*u = 0.
-237/2, 0
Factor 2*o**3 + 122*o**2 - 250*o + 126.
2*(o - 1)**2*(o + 63)
Determine x so that -5*x**2 - 1680*x - 141120 = 0.
-168
Let 5*z**2/4 - 85*z/4 + 90 = 0. What is z?
8, 9
Factor 4*n**4 + 100*n**3 + 756*n**2 + 1628*n + 968.
4*(n + 1)*(n + 2)*(n + 11)**2
Let 2*b**3/5 - 88*b**2/5 - 2*b/5 + 88/5 = 0. What is b?
-1, 1, 44
Suppose -3*g**4/5 - 33*g**3/5 - 66*g**2/5 + 36*g + 216/5 = 0. What is g?
-6, -1, 2
Factor 2*a**2 - 1850*a - 1852.
2*(a - 926)*(a + 1)
Suppose 5*u**4 + 35*u**3 + 25*u**2 - 35*u - 30 = 0. What is u?
-6, -1, 1
What is t in 2*t**2/5 + 94*t/5 - 408/5 = 0?
-51, 4
Let l**3/3 + 2465*l**2/3 + 1522747*l/3 + 1515361 = 0. What is l?
-1231, -3
What is v in -3*v**2/7 - 1710*v/7 + 1713/7 = 0?
-571, 1
Factor -2*o**2 - 46*o + 48.
-2*(o - 1)*(o + 24)
Solve -6*o**5/5 - 239*o**4/5 - 279*o**3 - 258*o**2 + 3136*o/5 - 1056/5 = 0.
-33, -4, 1/2, 2/3
Let 4*n**5 - 836*n**4 + 42400*n**3 + 134816*n**2 + 3392*n - 179776 = 0. Calculate n.
-2, 1, 106
Factor h**5/5 + 12*h**4 + 1108*h**3/5 + 1248*h**2 + 10816*h/5.
h*(h + 4)**2*(h + 26)**2/5
Let 2*a**3/5 + 22*a**2/5 + 12*a = 0. Calculate a.
-6, -5, 0
Factor -4*x**2 - 168*x.
-4*x*(x + 42)
Factor -8*z**4 - 42*z**3 + 38*z**2 + 12*z.
-2*z*(z - 1)*(z + 6)*(4*z + 1)
Determine a, given that 5*a**3 - 75*a**2 - 80*a = 0.
-1, 0, 16
What is k in -2*k**5/7 + 10188*k**4/7 - 12994780*k**3/7 + 51867104*k**2/7 - 64790610*k/7 + 25908100/7 = 0?
1, 2, 2545
Find n such that -362075396*n**5 + 1443463160*n**4 - 1066894044*n**3 - 14429096*n**2 - 64528*n - 96 = 0.
-2/449, 1, 3
Suppose 3*g**3/4 + 165*g**2/4 + 1053*g/2 + 486 = 0. Calculate g.
-36, -18, -1
Factor -375*b**2 - 20*b.
-5*b*(75*b + 4)
Find f, given that -4*f**2 + 12*f + 72 = 0.
-3, 6
Suppose 5*v**4/3 + 20*v**3/3 - 5*v**2/3 - 20*v/3 = 0. Calculate v.
-4, -1, 0, 1
Factor a**2/6 - 15*a/2 + 43/3.
(a - 43)*(a - 2)/6
Determine b, given that 11*b**5/5 - 634*b**4/5 - 1541*b**3/5 - 1136*b**2/5 - 48*b = 0.
-1, -4/11, 0, 60
Determine a so that -9*a**4 + 87*a**3/2 - 54*a**2 + 27*a/2 = 0.
0, 1/3, 3/2, 3
What is t in 10*t**4/11 + 86*t**3/11 - 62*t**2/11 - 246*t/11 - 108/11 = 0?
-9, -1, -3/5, 2
Suppose -2*t**4/11 - 6*t**3/11 - 4*t**2/11 = 0. Calculate t.
-2, -1, 0
Solve q**2 - 96*q + 1280 = 0 for q.
16, 80
What is p in 4*p**4/3 - 344*p**3/3 + 8356*p**2/3 - 13760*p + 19200 = 0?
3, 40
Suppose 21*q**2 + 45*q + 24 = 0. Calculate q.
-8/7, -1
Solve 2*q**2/7 - 1296*q/7 - 1298/7 = 0 for q.
-1, 649
Factor p**4/8 - p**3/8 - 3*p**2/8 + 5*p/8 - 1/4.
(p - 1)**3*(p + 2)/8
Suppose v**2/9 + 3410*v/9 + 2907025/9 = 0. Calculate v.
-1705
Determine c, given that c**5/3 + 2*c**4/3 - 4*c**3/3 - 8*c**2/3 = 0.
-2, 0, 2
Factor 2*d**4/5 - 92*d**3/5 + 962*d**2/5 + 2208*d/5 + 1152/5.
2*(d - 24)**2*(d + 1)**2/5
Determine p, given that -p**4/3 + 3*p**3 - 13*p**2/3 - 15*p + 50/3 = 0.
-2, 1, 5
Suppose d**2/5 - 42*d/5 - 88/5 = 0. What is d?
-2, 44
Let 4*n**5/7 + 204*n**4/7 + 3368*n**3/7 + 19800*n**2/7 + 6156*n + 3780 = 0. Calculate n.
-21, -5, -3, -1
Suppose -2*d**4/9 + 2*d**3 - 28*d**2/9 = 0. Calculate d.
0, 2, 7
Solve 675*s**3 - 2385*s**2 + 1128*s - 144 = 0.
4/15, 3
Determine u, given that -8*u**4 - 74*u**3 + 150*u**2 - 46*u - 22 = 0.
-11, -1/4, 1
Suppose 3*k**4 - 24*k**3 + 15*k**2 + 114*k + 72 = 0. Calculate k.
-1, 4, 6
Factor t**3/3 + 449*t**2 - t/3 - 449.
(t - 1)*(t + 1)*(t + 1347)/3
What is z in z**3/6 + 41*z**2/2 + 295*z/3 = 0?
-118, -5, 0
Determine p so that p**4 - 6*p**3 - 28*p**2 + 6*p + 27 = 0.
-3, -1, 1, 9
Determine o so that -o**5 - 2*o**4 + 7*o**3 - 4*o**2 = 0.
-4, 0, 1
Factor 2*o**3/3 + 4*o**2/3 - 40*o/3 + 16.
2*(o - 2)**2*(o + 6)/3
Suppose 16*q**4 - 164*q**3 + 492*q**2 - 252*q - 540 = 0. What is q?
-3/4, 3, 5
Let -w**4/4 + 5*w**2/2 - 9/4 = 0. What is w?
-3, -1, 1, 3
Factor -m**3 - 27*m**2 - 87*m + 115.
-(m - 1)*(m + 5)*(m + 23)
Factor 2*s**2 + 664*s + 55112.
2*(s + 166)**2
Solve -3*t**2 - 9*t + 54 = 0 for t.
-6, 3
Find q, given that q**3/5 + 439*q**2/5 + 1743*q/5 + 261 = 0.
-435, -3, -1
Solve 2*k**2 - 848*k + 846 = 0.
1, 423
Find k such that -k**4/5 - 323*k**3/5 - 963*k**2/5 - 961*k/5 - 64 = 0.
-320, -1
Factor d**2/2 - 7*d/2 + 6.
(d - 4)*(d - 3)/2
Factor -2*c**2/7 + 12*c/7 + 320/7.
-2*(c - 16)*(c + 10)/7
Solve 30*k**2/7 + 38*k - 36/7 = 0.
-9, 2/15
Let -5*i**2 - 90*i = 0. What is i?
-18, 0
Factor -z**4/7 + z**3 - z**2 - 15*z/7.
-z*(z - 5)*(z - 3)*(z + 1)/7
Factor -c**2/2 - 219*c/2 - 109.
-(c + 1)*(c + 218)/2
Find t such that 21*t**4 + 114*t**3 - 123*t**2 - 1080*t - 432 = 0.
-4, -3/7, 3
Find b, given that 3*b**4/4 - 3*b**3 + 9*b**2/4 + 3*b - 3 = 0.
-1, 1, 2
Determine j, given that 2*j**5/13 + 2*j**4/13 - 2*j**3 - 2*j**2 + 72*j/13 + 72/13 = 0.
-3, -2, -1, 2, 3
Find c such that -22*c**2/3 + 116*c/9 - 16/3 = 0.
2/3, 12/11
Factor -i**4/6 + 457*i**3/6 + 153*i**2.
-i**2*(i - 459)*(i + 2)/6
Factor 4*k**2/5 - 64*k/5.
4*k*(k - 16)/5
Factor 4*u**2/7 - 904*u/7.
4*u*(u - 226)/7
Let 4*h**5 - 40*h**4 - 300*h**3 = 0. Calculate h.
-5, 0, 15
Factor -2*y**2 + 44*y - 242.
-2*(y - 11)**2
Factor t**2/7 + 4*t/7 + 3/7.
(t + 1)*(t + 3)/7
Determine t, given that 5*t**3 - 15*t**2 - 90*t = 0.
-3, 0, 6
Let 7*a**2/2 - 9*a/2 - 5 = 0. What is a?
-5/7, 2
Solve -t**3 - 11*t**2 + 25*t - 13 = 0 for t.
-13, 1
Let -5*i**5 - 5*i**4 + 35*i**3 + 5*i**2 - 30*i = 0. Calculate i.
-3, -1, 0, 1, 2
Let -2*r**2 - 96*r + 98 = 0. Calculate r.
-49, 1
Suppose -2*v**2/9 - 40*v/3 - 200 = 0. What is v?
-30
Factor k**3/12 + 1955*k**2/12 + 79544*k - 79707.
(k - 1)*(k + 978)**2/12
Factor -12*t**4 - 39*t**3 - 9*t**2.
-3*t**2*(t + 3)*(4*t + 1)
Solve 21*n**2 - 82*n - 8 = 0.
-2/21, 4
Let -s**4 - 3*s**3 + 16*s**2 - 12*s = 0. Calculate s.
-6, 0, 1, 2
Factor -2*a**4/7 - 276*a**3/7 + 2592*a**2/7 - 7884*a/7 + 1134.
-2*(a - 3)**3*(a + 147)/7
Determine