 197*r**2/7 - 58*r + 24/7.
(r - 2)*(197*r - 12)/7
What is w in 10*w**2 + 4845*w/2 + 6025/2 = 0?
-241, -5/4
Solve 3*n**4/7 - 222*n**3/7 + 5364*n**2/7 - 40338*n/7 - 6561 = 0 for n.
-1, 21, 27
Factor 6*u**2/11 + 36*u/11 + 48/11.
6*(u + 2)*(u + 4)/11
Solve g**2/5 - 404*g + 204020 = 0.
1010
Determine u so that -3*u**5 + 252*u**4 + 255*u**3 = 0.
-1, 0, 85
Let b**2/4 + 3*b/4 - 1 = 0. What is b?
-4, 1
Determine k so that -5*k**4/4 - 265*k**3/4 + 355*k**2 - 435*k = 0.
-58, 0, 2, 3
Find j, given that -12*j**5/11 - 46*j**4/11 - 32*j**3/11 + 42*j**2/11 + 40*j/11 + 8/11 = 0.
-2, -1/2, -1/3, 1
Determine w so that 2*w**4/5 + 3548*w**3/5 + 1577082*w**2/5 + 3143528*w/5 + 1569992/5 = 0.
-886, -1
Factor -o**2/3 + 22*o/3 - 7.
-(o - 21)*(o - 1)/3
Factor -3*a**3 + 228*a**2 - 4551*a + 8214.
-3*(a - 37)**2*(a - 2)
Determine y so that y**4/10 - 67*y**3/10 + 189*y**2/5 - 74*y + 244/5 = 0.
2, 61
Solve -4*g**4/5 - 24*g**3/5 + 116*g**2/5 + 456*g/5 + 64 = 0 for g.
-8, -2, -1, 5
Find b, given that 2*b**5/3 - 28*b**4/3 - 4*b**3/3 + 56*b**2/3 + 2*b/3 - 28/3 = 0.
-1, 1, 14
Let 2*q**3/11 - 8*q**2/11 - 2*q/11 + 8/11 = 0. What is q?
-1, 1, 4
Solve -3*t**2 + 2016*t - 338688 = 0.
336
Let -b**5 + 26*b**4 - 193*b**3 + 312*b**2 - 144*b = 0. What is b?
0, 1, 12
Determine s, given that -4*s**4 + 44*s**3 - 96*s**2 = 0.
0, 3, 8
Factor 63*m**3 - 24187*m**2 - 1922*m + 768.
(m - 384)*(7*m - 1)*(9*m + 2)
Factor 4*y**2 + 24*y + 20.
4*(y + 1)*(y + 5)
Find i such that 3*i**3/5 + 183*i**2/5 + 2697*i/5 - 2883/5 = 0.
-31, 1
Factor -p**4/3 + 4*p**3/3 - 5*p**2/3 + 2*p/3.
-p*(p - 2)*(p - 1)**2/3
Factor l**2 + 9*l + 18.
(l + 3)*(l + 6)
Solve -3*p**3/7 + 12*p**2/7 - 15*p/7 + 6/7 = 0.
1, 2
Suppose -2*i**2 + 16*i - 32 = 0. What is i?
4
Factor -6*a**3 + 170*a**2 + 296*a + 120.
-2*(a - 30)*(a + 1)*(3*a + 2)
Suppose 4*m**3 + 20*m**2 + 28*m + 12 = 0. Calculate m.
-3, -1
Factor -5*l**3 + 110*l**2 - 520*l + 640.
-5*(l - 16)*(l - 4)*(l - 2)
Factor -4*o**4 + 40*o**3 - 28*o**2 - 72*o.
-4*o*(o - 9)*(o - 2)*(o + 1)
Suppose 2*x**2/3 + 1164*x + 508086 = 0. Calculate x.
-873
Factor 2*b**2 + 50*b - 108.
2*(b - 2)*(b + 27)
Factor i**2 + 882*i.
i*(i + 882)
Solve -t**2/2 + 7*t/2 + 4 = 0 for t.
-1, 8
Determine j so that -15*j**5 - 531*j**4 - 3966*j**3 + 12834*j**2 - 11571*j + 3249 = 0.
-19, 3/5, 1
Factor v**5/4 + 3*v**4 - 4*v**3 - 17*v**2/2 + 63*v/4 - 13/2.
(v - 1)**3*(v + 2)*(v + 13)/4
Factor 2*b**5/3 - 388*b**4/3 - 782*b**3/3 - 392*b**2/3.
2*b**2*(b - 196)*(b + 1)**2/3
What is n in -6*n**3/11 + 1786*n**2/11 - 132610*n/11 - 44402/11 = 0?
-1/3, 149
Solve 3*g**3 - 12*g**2 - 123*g - 108 = 0.
-4, -1, 9
Suppose 2*r**3/15 + 316*r**2/15 - 1288*r/15 + 432/5 = 0. What is r?
-162, 2
Let s**4 - 29*s**3 + 99*s**2 + 29*s - 100 = 0. What is s?
-1, 1, 4, 25
Determine k, given that -50*k**5 - 7010*k**4 - 1268*k**3 + 18392*k**2 - 12304*k + 2240 = 0.
-140, -2, 2/5, 1
Determine s so that -s**2/5 + 86*s/5 + 176/5 = 0.
-2, 88
Solve -a**3/5 + 7*a**2/5 + 2*a - 16/5 = 0.
-2, 1, 8
Find p such that p**2/8 + 5*p/2 - 125/8 = 0.
-25, 5
Let -a**4 - 23*a**3 + 80*a**2 + 1488*a + 3456 = 0. Calculate a.
-24, -4, 9
Find i such that 4*i**3 - 1400*i**2 - 4*i + 1400 = 0.
-1, 1, 350
Factor 5*i**4 - 130*i**3 - 5*i**2 + 130*i.
5*i*(i - 26)*(i - 1)*(i + 1)
Let -4*k**4/7 - 116*k**3/7 - 772*k**2/7 + 1140*k/7 + 1800/7 = 0. What is k?
-15, -1, 2
Factor 2*y**3 - 86*y**2.
2*y**2*(y - 43)
Let -6*t**4 - 176*t**3 - 52*t**2 + 176*t + 58 = 0. What is t?
-29, -1, -1/3, 1
Suppose 3*c**2 + 9*c - 30 = 0. What is c?
-5, 2
Solve -z**3 + 28*z**2 - 27*z = 0 for z.
0, 1, 27
Determine l, given that l**4/4 + l**3/2 - 37*l**2/4 - 43*l/2 + 30 = 0.
-5, -4, 1, 6
Factor 12*f**4 - 52*f**3 - 208*f**2 - 112*f.
4*f*(f - 7)*(f + 2)*(3*f + 2)
Suppose -4*g**4 + 160*g**3 - 1596*g**2 - 160*g + 1600 = 0. Calculate g.
-1, 1, 20
Factor 2*n**3/5 + 4*n**2 - 22*n/5.
2*n*(n - 1)*(n + 11)/5
Factor 2*w**4/9 - 4*w**3/9 - 10*w**2/3 - 8*w/9 + 40/9.
2*(w - 5)*(w - 1)*(w + 2)**2/9
Let -3*j**5 - 18*j**4 - 24*j**3 + 6*j**2 + 27*j + 12 = 0. Calculate j.
-4, -1, 1
Suppose -50*l**5/3 + 32*l**4 + 58*l**3/3 - 32*l**2 - 8*l/3 = 0. What is l?
-1, -2/25, 0, 1, 2
Factor 3*k**2/7 + 585*k/7 + 582/7.
3*(k + 1)*(k + 194)/7
What is t in -2*t**2/3 + 518*t/3 - 2440 = 0?
15, 244
What is o in -2*o**2/15 - 10*o/3 = 0?
-25, 0
Determine d so that 6*d**4/19 + 310*d**3/19 - 1424*d**2/19 + 1784*d/19 - 448/19 = 0.
-56, 1/3, 2
Suppose -2*v**3/7 + 52*v**2/7 - 30*v - 1800/7 = 0. What is v?
-4, 15
Solve 5*c**2 + 320*c + 5120 = 0.
-32
Factor 9*m**4 + 150*m**3 + 348*m**2 + 168*m.
3*m*(m + 2)*(m + 14)*(3*m + 2)
Let -5*s**3/3 + 6*s**2 + 308*s/3 + 40 = 0. What is s?
-6, -2/5, 10
What is j in -j**2/2 - 93*j/2 - 135 = 0?
-90, -3
Find p, given that -2*p**4/13 + 6*p**3/13 - 4*p**2/13 = 0.
0, 1, 2
Solve 2*i**4 + 904*i**3 - 910*i**2 - 1812*i = 0 for i.
-453, -1, 0, 2
Factor -4*l**4 + 116*l**3 - 640*l**2 - 3072*l.
-4*l*(l - 16)**2*(l + 3)
Solve 3*y**3 + 1557*y**2 - 9423*y + 14175 = 0 for y.
-525, 3
Factor 2*k**3 + 14*k**2 - 8*k - 56.
2*(k - 2)*(k + 2)*(k + 7)
Factor k**3 - 5*k**2 - 104*k.
k*(k - 13)*(k + 8)
Determine s, given that 2*s**3/11 - 296*s**2/11 + 1160*s/11 - 1152/11 = 0.
2, 144
Factor o**3/4 - 73*o**2/2 - o/4 + 73/2.
(o - 146)*(o - 1)*(o + 1)/4
Determine a, given that -2*a**2/7 - 3158*a/7 - 3156/7 = 0.
-1578, -1
Factor -3*p**3 - 2*p**2 + 127*p - 42.
-(p - 6)*(p + 7)*(3*p - 1)
What is x in 2*x**3/15 - 4*x**2/15 - 2*x/5 = 0?
-1, 0, 3
Suppose 4*o**3 - 8*o**2 - 12*o = 0. Calculate o.
-1, 0, 3
Factor -2*f**2/5 - 716*f/5 - 64082/5.
-2*(f + 179)**2/5
Factor 4*g**3 + 288*g**2 + 6324*g + 38440.
4*(g + 10)*(g + 31)**2
Solve -42*v**4 + 723*v**3 - 3303*v**2 + 4833*v - 891 = 0.
3/14, 3, 11
Let -5*i**4 + 5140*i**3 - 1320980*i**2 = 0. What is i?
0, 514
Solve -4*w**3 + 36*w**2 + 136*w + 96 = 0 for w.
-2, -1, 12
Factor -3*c**4 + 3*c**3 + 6*c**2.
-3*c**2*(c - 2)*(c + 1)
Let q**4/7 - 3*q**2/7 - 2*q/7 = 0. Calculate q.
-1, 0, 2
Factor 12*n**4 - 448*n**3 + 4028*n**2 + 2888*n.
4*n*(n - 19)**2*(3*n + 2)
Solve 28*b**3 - 68*b**2 + 52*b - 12 = 0.
3/7, 1
Factor -4*x**4 - 284*x**3 - 1352*x**2 - 2128*x - 1056.
-4*(x + 1)*(x + 2)**2*(x + 66)
Factor -2*o**3 + 19*o**2 - 38*o + 21.
-(o - 7)*(o - 1)*(2*o - 3)
Determine m so that -m**2/6 + 25*m/3 - 49/6 = 0.
1, 49
Factor -4*l**2 + 20*l - 16.
-4*(l - 4)*(l - 1)
Suppose 3*c**3 + 303*c**2 + 300*c = 0. Calculate c.
-100, -1, 0
Determine k so that -7*k**3/2 - 169*k**2 - 425*k/2 - 47 = 0.
-47, -1, -2/7
Determine g, given that g**3/7 - 26*g**2/7 + 71*g/7 - 46/7 = 0.
1, 2, 23
Factor 4*u**3/3 + 164*u**2/3 + 104*u.
4*u*(u + 2)*(u + 39)/3
Factor 16*n**2 - 132*n - 484.
4*(n - 11)*(4*n + 11)
Solve 5*s**5 - 75*s**4 + 235*s**3 + 315*s**2 = 0.
-1, 0, 7, 9
Factor 22*q**4 - 26*q**3 + 4*q**2.
2*q**2*(q - 1)*(11*q - 2)
What is j in j**5/2 + j**4/2 - 7*j**3/2 - j**2/2 + 3*j = 0?
-3, -1, 0, 1, 2
Factor -s**4 + 2*s**3 + 20*s**2 + 24*s.
-s*(s - 6)*(s + 2)**2
Solve -m**3 + 5*m**2 + m - 5 = 0.
-1, 1, 5
Let -5*f**2 + 1850*f - 171125 = 0. Calculate f.
185
Find d such that 4*d**4/7 + 36*d**3/7 - 4*d**2/7 - 36*d/7 = 0.
-9, -1, 0, 1
What is n in -3*n**3 + 150*n**2 - 1971*n + 7776 = 0?
9, 32
Determine s so that s**5 + 53*s**4 + 618*s**3 - 2240*s**2 + 1568*s = 0.
-28, 0, 1, 2
Determine j, given that 3*j**2/4 - 1275*j/2 + 541875/4 = 0.
425
Factor -2*g**5 - 6*g**4 + 18*g**3 - 10*g**2.
-2*g**2*(g - 1)**2*(g + 5)
Find b such that -2*b**2 - 2*b + 12 = 0.
-3, 2
Solve -4*y**2 - 1596*y + 1600 = 0.
-400, 1
Suppose -14*i**2/9 + 422*i/9 + 124/3 = 0. What is i?
-6/7, 31
Factor -2*x**3/13 + 14*x**2/13 - 12*x/13.
-2*x*(x - 6)*(x - 1)/13
Let -2*i**2/3 + 353*i/2 + 265/6 = 0. Calculate i.
-1/4, 265
Factor -27*s**4 + 183*s**3 + 42*s**2.
-3*s**2*(s - 7)*(9*s + 2)
Find i such that -4*i**5 + 44*i**4 + 1256*i**3 + 3464*i**2 + 3356*i + 1100 = 0.
-11, -1, 25
Suppose 2*a**2/7 - 2808*a/7 - 2810/7 = 0. Calculate a.
-1, 1405
Factor -3*h**4 + 132*h**3 - 1161*h**2 - 6480*h - 5184.
-3*(h - 24)**2*(h + 1)*(h + 3)
Factor 6*a**2/5 + 8*a/5 + 2/5.
2*(a + 1)*(3*a + 1)/5
Factor -4*q**2/5 + 464*q/5 - 912/5.
-4*(q - 114)*(q - 2)/5
Suppose 2*z**3/5 - 36*z**2/5 - 78*z/5 - 8 = 0. Calculate z.
-1, 20
Suppose -2*z**4/9 + 28*z**3/9 + 32*z**2/3 + 100*z/9 + 34/9 = 0. Calculate z.
-1, 17
Factor -3*v**2/4 - 7*v/2 - 15/4.
-(v + 3)*(3*v + 5)/4
Let c**3/6 + c**2/2 - 24*c + 70/3 = 0. Calculate c.
-14, 1, 10
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