5/9 + 374*b**4/3 + 157918*b**3/9 + 155678*b**2/9 - 52640*b/3 - 156800/9 = 0. What is b?
-280, -1, 1
Find c such that 5*c**5 + 35*c**4 + 10*c**3 - 140*c**2 - 120*c = 0.
-6, -2, -1, 0, 2
Find n such that -10*n**4/11 - 34*n**3/11 - 12*n**2/11 + 40*n/11 + 16/11 = 0.
-2, -2/5, 1
Solve -g**4/2 + 101*g**3 - 9997*g**2/2 - 10302*g - 5202 = 0.
-1, 102
Find c, given that -2*c**2/9 - 76*c/9 - 722/9 = 0.
-19
Suppose 4*i**5 + 8*i**4 - 44*i**3 - 16*i**2 + 112*i - 64 = 0. What is i?
-4, -2, 1, 2
Factor -15*g**2 - 40*g - 25.
-5*(g + 1)*(3*g + 5)
Factor -s**3 + 69*s**2 - 999*s - 6845.
-(s - 37)**2*(s + 5)
Factor -n**3/2 + 3*n**2 + 27*n/2.
-n*(n - 9)*(n + 3)/2
Factor 14*a**3/3 - 10*a**2/3 - 14*a/3 + 10/3.
2*(a - 1)*(a + 1)*(7*a - 5)/3
Let 2*k**4/13 + 18*k**3/13 + 58*k**2/13 + 6*k + 36/13 = 0. What is k?
-3, -2, -1
Let -484*d**4 - 4576*d**3 - 16096*d**2 - 24960*d - 14400 = 0. What is d?
-30/11, -2
Factor 2*t**3/7 + 66*t**2/7 + 222*t/7 - 290/7.
2*(t - 1)*(t + 5)*(t + 29)/7
Factor -i**3/6 - 20*i**2/3 - 113*i/6 - 37/3.
-(i + 1)*(i + 2)*(i + 37)/6
Let -10*c**5/3 + 118*c**4 - 130*c**3/3 - 118*c**2 + 140*c/3 = 0. What is c?
-1, 0, 2/5, 1, 35
Factor 2*u**2/3 - 16*u/3 + 8.
2*(u - 6)*(u - 2)/3
Determine z, given that z**5/3 + 142*z**4/3 + 5041*z**3/3 = 0.
-71, 0
Let 2*d**2/9 - 224*d/9 + 6272/9 = 0. What is d?
56
Let 18*f**4 - 696*f**3 + 1124*f**2 - 520*f + 74 = 0. Calculate f.
1/3, 1, 37
Suppose -l**3/2 + l**2 + 32*l - 64 = 0. What is l?
-8, 2, 8
Find c, given that c**3/11 + 318*c**2/11 + 1865*c/11 - 2184/11 = 0.
-312, -7, 1
Factor -2*s**2/13 + 228*s/13 - 448/13.
-2*(s - 112)*(s - 2)/13
Factor -4*o**4 + 11864*o**3 - 8785284*o**2 - 17606176*o - 8809024.
-4*(o - 1484)**2*(o + 1)**2
Suppose -q**5/6 + q**4/6 + q**3 - 2*q**2/3 - 4*q/3 = 0. What is q?
-2, -1, 0, 2
Factor 27*r**4 + 90*r**3 + 111*r**2 + 60*r + 12.
3*(r + 1)**2*(3*r + 2)**2
Determine y so that -3*y**3/2 + 9*y**2/4 + 3*y/2 = 0.
-1/2, 0, 2
Factor -2*w**5 + 2*w**4 + 16*w**3 - 24*w**2.
-2*w**2*(w - 2)**2*(w + 3)
Find l such that 3*l**2 + 12*l - 15 = 0.
-5, 1
Factor -5*k**3 - 90*k**2 + 195*k - 100.
-5*(k - 1)**2*(k + 20)
Factor f**3/2 - 3*f**2/2 - 12*f + 40.
(f - 4)**2*(f + 5)/2
Find o, given that -4*o**3 + 1528*o**2 - 145924*o = 0.
0, 191
Determine y so that y**2/5 + 61*y/5 + 12 = 0.
-60, -1
Suppose -n**2 - 198*n = 0. Calculate n.
-198, 0
Factor -j**2/4 + 23*j/4 - 45/2.
-(j - 18)*(j - 5)/4
Factor -4*l**4 + 28*l**3 - 44*l**2 + 20*l.
-4*l*(l - 5)*(l - 1)**2
Factor 2*i**5/13 + 12*i**4/13 - 14*i**3/13.
2*i**3*(i - 1)*(i + 7)/13
Factor 2*a**4/9 + 2*a**3/9 - 20*a**2/3 - 64*a/9 + 320/9.
2*(a - 5)*(a - 2)*(a + 4)**2/9
Suppose 3*w**4 - 9*w**3 - 12*w**2 + 36*w = 0. What is w?
-2, 0, 2, 3
Solve 3*o**2/5 - 39*o + 558/5 = 0.
3, 62
Factor p**4/2 + 9*p**3/2 + 11*p**2/2 - 21*p/2.
p*(p - 1)*(p + 3)*(p + 7)/2
Determine o, given that o**2/2 - 103*o/2 + 51 = 0.
1, 102
Determine l, given that -l**4/4 + l**3 - 3*l**2/4 = 0.
0, 1, 3
Suppose -98*h**3/5 - 155092*h**2/5 - 17720*h - 12656/5 = 0. Calculate h.
-1582, -2/7
Factor 2*g**2 - 260*g + 1008.
2*(g - 126)*(g - 4)
Suppose -4*j**2 + 216*j = 0. What is j?
0, 54
Factor -2*q**3/13 - 82*q**2/13 - 928*q/13 - 3200/13.
-2*(q + 8)**2*(q + 25)/13
Let 9*b**4 - 1555*b**3 - 3496*b**2 - 700*b = 0. What is b?
-2, -2/9, 0, 175
Factor p**5 - 20*p**4 - 91*p**3 - 118*p**2 - 48*p.
p*(p - 24)*(p + 1)**2*(p + 2)
Factor 3*l**4 + 3*l**3 - 18*l**2 - 12*l + 24.
3*(l - 2)*(l - 1)*(l + 2)**2
Let -2*p**2/11 + 2036*p/11 - 518162/11 = 0. Calculate p.
509
Find n such that -18*n**4/11 - 1284*n**3/11 - 7328*n**2/11 + 5316*n/11 - 910/11 = 0.
-65, -7, 1/3
What is i in 2*i**2 - 50*i = 0?
0, 25
Let 35*r**5 + 90*r**4 + 5*r**3 - 90*r**2 - 40*r = 0. What is r?
-2, -1, -4/7, 0, 1
Factor -2*w**4/7 + 144*w**2/7 - 2592/7.
-2*(w - 6)**2*(w + 6)**2/7
Let -4*p**3 + 152*p**2 - 380*p - 1400 = 0. Calculate p.
-2, 5, 35
Factor -n**2 + 39*n - 38.
-(n - 38)*(n - 1)
Let 2*k**3/3 + 8*k**2/3 - 154*k/3 = 0. What is k?
-11, 0, 7
Suppose -4*z**5 - z**4 + 4*z**3 + z**2 = 0. Calculate z.
-1, -1/4, 0, 1
Solve -g**4/3 - 7*g**3 + 490*g**2/3 = 0 for g.
-35, 0, 14
Let -4*f**3/7 + 192*f**2/7 - 1172*f/7 + 984/7 = 0. What is f?
1, 6, 41
Determine l so that 2*l**2/15 + 128*l/15 - 56 = 0.
-70, 6
Factor g**2 - 23*g + 126.
(g - 14)*(g - 9)
Factor -a**5 - 24*a**4 - 205*a**3 - 726*a**2 - 928*a - 384.
-(a + 1)**2*(a + 6)*(a + 8)**2
Suppose 3*i**3/5 - 33*i**2/5 - 156*i/5 + 84 = 0. What is i?
-5, 2, 14
Factor 4*b**3/7 - 428*b**2 + 562496*b/7 - 559504/7.
4*(b - 374)**2*(b - 1)/7
Solve o**4/5 - 4*o**3/5 + 3*o**2/5 + 4*o/5 - 4/5 = 0 for o.
-1, 1, 2
What is f in 3*f**2 + 8538*f + 6074787 = 0?
-1423
Solve -3*r**3 + 219*r**2 - 426*r = 0.
0, 2, 71
Determine q so that -2*q**3 - 98*q**2 - 1334*q - 3174 = 0.
-23, -3
Factor 4*a**3 + 48*a**2.
4*a**2*(a + 12)
Factor x**5/3 - 5*x**4/3 - x**3/3 + 5*x**2/3.
x**2*(x - 5)*(x - 1)*(x + 1)/3
Factor 2*b**4 + 12*b**3 + 26*b**2 + 24*b + 8.
2*(b + 1)**2*(b + 2)**2
Solve -y**3 - 6*y**2 + 25*y - 18 = 0 for y.
-9, 1, 2
Find l, given that -3*l**3 - 96*l**2 = 0.
-32, 0
Factor -3*w**3 + 12*w**2 - 9*w.
-3*w*(w - 3)*(w - 1)
Factor v**4/6 + 7*v**3/6 + v**2 - 16*v/3 - 16/3.
(v - 2)*(v + 1)*(v + 4)**2/6
Factor -4*b**5 + 152*b**4 - 1444*b**3.
-4*b**3*(b - 19)**2
Determine c so that c**4/4 - 181*c**3/8 - 58*c**2 - 95*c/8 + 93/4 = 0.
-2, -1, 1/2, 93
Determine u so that -2*u**2/3 - 81*u - 595/3 = 0.
-119, -5/2
Factor -3*n**2 + 5748*n - 2753292.
-3*(n - 958)**2
Let -14*x**2/3 + 34*x/3 - 4 = 0. What is x?
3/7, 2
Let i**3/11 - 4*i**2/11 + 4*i/11 = 0. What is i?
0, 2
Factor a**4/4 - 59*a**3/4 + 57*a**2/4 + 59*a/4 - 29/2.
(a - 58)*(a - 1)**2*(a + 1)/4
Factor -2*b**2/5 + 432*b/5 - 86.
-2*(b - 215)*(b - 1)/5
Factor 4*i**2/3 - 5668*i/3.
4*i*(i - 1417)/3
Factor -d**5 + 5*d**4 + 13*d**3 + 7*d**2.
-d**2*(d - 7)*(d + 1)**2
Suppose 2*o**4/7 - 16*o**3/7 + 48*o**2/7 - 64*o/7 + 32/7 = 0. What is o?
2
Suppose 8*j**5/3 + 31*j**4/3 - 100*j**3/3 + 4*j**2 = 0. What is j?
-6, 0, 1/8, 2
Suppose -3*l**5/8 + 19*l**4/4 - 43*l**3/4 + 15*l**2/2 + l/8 - 5/4 = 0. What is l?
-1/3, 1, 10
Suppose q**3 - 98*q**2 + 2300*q + 5000 = 0. Calculate q.
-2, 50
Factor 2*g**2/7 - 2*g/7.
2*g*(g - 1)/7
Let 3*v**2 + 7074*v + 4170123 = 0. Calculate v.
-1179
Factor 2*w**3/7 - 11196*w**2/7 + 20891736*w/7 - 12994659792/7.
2*(w - 1866)**3/7
Determine l so that -2*l**4/9 + 310*l**3/3 + 2*l**2/9 - 310*l/3 = 0.
-1, 0, 1, 465
Determine m, given that 4*m**3 - 44*m**2 + 104*m - 64 = 0.
1, 2, 8
Solve -5*z**5 - 135*z**4 - 585*z**3 - 785*z**2 - 330*z = 0.
-22, -3, -1, 0
Factor 5*t**3 + 35*t**2 - 200*t + 220.
5*(t - 2)**2*(t + 11)
Factor 2*i**4 - 1762*i**3 + 387194*i**2 + 392490*i - 777924.
2*(i - 441)**2*(i - 1)*(i + 2)
Suppose m**2/2 + 63*m/2 + 31 = 0. What is m?
-62, -1
Suppose -2*t**5/15 - 436*t**4/15 - 10512*t**3/5 - 149212*t**2/3 + 778034*t/15 = 0. What is t?
-73, 0, 1
Determine n so that 2*n**3/7 + 16*n**2/7 - 8*n/7 - 64/7 = 0.
-8, -2, 2
Solve k**4/3 - 2*k**3/3 - 7*k**2/3 - 4*k/3 = 0 for k.
-1, 0, 4
Factor 43*n**2/5 - 42*n/5 - 1/5.
(n - 1)*(43*n + 1)/5
Determine r so that 5*r**2 - 1560*r + 121680 = 0.
156
Suppose 4*b**2 + 16*b + 12 = 0. What is b?
-3, -1
Let -4*w**2/3 - 5296*w - 5258928 = 0. Calculate w.
-1986
Find z, given that 3*z**2 + 3*z - 6 = 0.
-2, 1
Suppose 3*x**3/4 - 123*x**2/4 + 117*x/2 = 0. What is x?
0, 2, 39
Factor 2*y**2/11 - 556*y/11 - 558/11.
2*(y - 279)*(y + 1)/11
Factor -2*x**2/13 - 222*x/13 + 684/13.
-2*(x - 3)*(x + 114)/13
Let -2*f**2 - 56*f = 0. What is f?
-28, 0
Let 19*n**2 + 37*n - 2 = 0. Calculate n.
-2, 1/19
Find z such that 2738*z**4 - 24790*z**3/3 + 50618*z**2/9 - 298*z/3 + 4/9 = 0.
1/111, 1, 2
Suppose -v**3/3 - v**2/3 + 2*v/3 = 0. Calculate v.
-2, 0, 1
Find l, given that 5*l**4 - 210*l**3 + 3060*l**2 - 17080*l + 23520 = 0.
2, 12, 14
Solve -5*n**2 - 340*n = 0.
-68, 0
Factor -a**3/3 + 3*a**2 + a/3 - 3.
-(a - 9)*(a - 1)*(a + 1)/3
Determine v, given that 4*v**4/3 + 8*v**3 + 52*v**2/3 + 16*v + 16/3 = 0.
-2, -1
What is v in -20*v**4 - 388*v**3 - 772*v**2 + 772*v + 408 = 0?
-17, -3, -2/5, 1
Determine c, given that -2*c**5/3 + 62*c**4/3 - 118*c**3 - 2366*c**2/3 + 4148*c/3 + 4624 = 0.
-4, -2, 3, 17
Let d**4 + 46*d**3 - 47*d**2 = 0. Calculate d.
-47, 0, 1
Factor 2*g**2 - 26*g + 72.
2*(g - 9)*(g - 4)
Factor 306*q**5 + 165*q**4 + 6*q**3.
3*q**3*(2*q + 1)*(51*q + 2)
Factor 9*g**4 - 147*g**3