2*p - 3 = 0.
-3, -1, 1
Solve -2*q**5 - 20*q**4 - 78*q**3 - 148*q**2 - 136*q - 48 = 0 for q.
-3, -2, -1
Suppose -3*p**4/4 + 15*p**3/2 + 33*p**2/4 = 0. Calculate p.
-1, 0, 11
Find a, given that 3*a**5/2 - 45*a**4/2 = 0.
0, 15
Factor z**2 - 55*z - 56.
(z - 56)*(z + 1)
Solve 4*t**3/7 - 32*t**2/7 = 0.
0, 8
Find n such that n**4/2 - n**3/2 - n**2/2 + n/2 = 0.
-1, 0, 1
Let -4*u**3 - 2244*u**2 = 0. What is u?
-561, 0
What is p in 6*p**4 + 70*p**3 - 30*p**2 - 70*p + 24 = 0?
-12, -1, 1/3, 1
Let -3*d**4 - 42*d**3 - 51*d**2 + 852*d + 864 = 0. Calculate d.
-9, -8, -1, 4
Factor -g**3/3 - 35*g**2 - 104*g/3.
-g*(g + 1)*(g + 104)/3
Factor 2*g**4 + 34*g**3 + 60*g**2.
2*g**2*(g + 2)*(g + 15)
Factor -d**2 - 38*d - 165.
-(d + 5)*(d + 33)
Factor 3*l**2 + 303*l - 618.
3*(l - 2)*(l + 103)
Suppose c**3/3 - 9*c**2 + 62*c/3 + 80 = 0. Calculate c.
-2, 5, 24
Determine s so that -3*s**3 - 66*s**2 - 459*s - 972 = 0.
-9, -4
Determine h so that 2*h**5/3 + 16*h**4/3 + 10*h**3 - 16*h**2/3 - 32*h/3 = 0.
-4, -1, 0, 1
Factor -4*j**5 - 15*j**4 - 20*j**3 - 10*j**2 + 1.
-(j + 1)**4*(4*j - 1)
Let 64*q**3/13 - 216*q**2/13 - 214*q/13 + 66/13 = 0. What is q?
-1, 1/4, 33/8
Factor 4*q**2/5 - 3704*q/5 + 857476/5.
4*(q - 463)**2/5
Factor 4394*h**4/5 + 19942*h**3/5 - 9828*h**2/5 + 1544*h/5 - 16.
2*(h + 5)*(13*h - 2)**3/5
Factor -32*u**5/7 + 80*u**4/7 + 46*u**3/7 + 6*u**2/7.
-2*u**2*(u - 3)*(4*u + 1)**2/7
Suppose 3*w**2 + 540*w - 1647 = 0. Calculate w.
-183, 3
Find h such that 5*h**5 - 70*h**3 - 60*h**2 + 65*h + 60 = 0.
-3, -1, 1, 4
Let 12*f**4 - 561*f**3 - 2589*f**2 - 612*f = 0. What is f?
-4, -1/4, 0, 51
Let -2*f**5 + 38*f**4 - 278*f**3 + 978*f**2 - 1656*f + 1080 = 0. What is f?
2, 3, 5, 6
Determine g, given that g**4/3 - g**3/3 - 5*g**2/3 - g = 0.
-1, 0, 3
Let 4*v**2 - 53128*v + 176411524 = 0. What is v?
6641
Let 20*l**4 + 113*l**3 - 53*l**2 - 68*l - 12 = 0. What is l?
-6, -2/5, -1/4, 1
Find v, given that -4*v**4 + 28*v**3 + 244*v**2 - 28*v - 240 = 0.
-5, -1, 1, 12
Find m, given that -1046*m**3/3 + 698*m**2 - 350*m + 2/3 = 0.
1/523, 1
Factor -4*o**2 + 316*o + 2040.
-4*(o - 85)*(o + 6)
Factor -4*b**2 - 108*b - 504.
-4*(b + 6)*(b + 21)
Factor -z**3/5 + 9*z**2/5 - 14*z/5.
-z*(z - 7)*(z - 2)/5
Solve 35*w**5 + 45*w**4 - 725*w**3 - 1785*w**2 - 450*w = 0 for w.
-3, -2/7, 0, 5
Factor 2*m**2/3 + 1270*m/3.
2*m*(m + 635)/3
Factor -d**5/4 + 5*d**4/4 + 3*d**3/2.
-d**3*(d - 6)*(d + 1)/4
What is u in 4*u**3 + 44*u**2 - 72*u - 288 = 0?
-12, -2, 3
What is o in 6*o**5/11 - 14*o**4/11 + 6*o**3/11 + 6*o**2/11 - 4*o/11 = 0?
-2/3, 0, 1
Factor -4*f**4/7 - 36*f**3/7 + 40*f**2/7.
-4*f**2*(f - 1)*(f + 10)/7
What is x in -2*x**4/17 - 138*x**3/17 - 1464*x**2/17 - 5600*x/17 - 7296/17 = 0?
-57, -4
Determine i so that 3*i**2/5 + 102*i/5 + 72 = 0.
-30, -4
What is i in -i**2/3 + 4*i/3 - 1 = 0?
1, 3
Solve q**2/6 - 140*q/3 + 278/3 = 0 for q.
2, 278
Factor 2*q**4/3 - 4*q**3/3 - 32*q**2 + 260*q/3 + 350/3.
2*(q - 5)**2*(q + 1)*(q + 7)/3
Factor 5*l**5 + 60*l**4 + 220*l**3 + 80*l**2 - 960*l - 1280.
5*(l - 2)*(l + 2)*(l + 4)**3
Find r, given that 6*r**3/19 - 20*r**2/19 + 18*r/19 - 4/19 = 0.
1/3, 1, 2
Factor 2*i**4/7 + 6*i**3/7 + 4*i**2/7.
2*i**2*(i + 1)*(i + 2)/7
Factor 56*a**2 - 26716*a + 1908.
4*(a - 477)*(14*a - 1)
Suppose j**4 - 10*j**3 - 47*j**2 + 360*j + 1296 = 0. Calculate j.
-4, 9
Factor 5*k**2 - 167*k + 66.
(k - 33)*(5*k - 2)
Let 2*i**4/9 - 56*i**3/9 - 88*i**2/9 + 2240*i/3 + 3200 = 0. Calculate i.
-6, 20
What is v in -v**3/3 - 647*v**2/3 - 104975*v/3 - 104329/3 = 0?
-323, -1
Find r, given that r**3/2 + 319*r**2 + 101761*r/2 = 0.
-319, 0
Determine x, given that 3*x**4/2 - 11*x**3 + 2*x**2 + 11*x - 7/2 = 0.
-1, 1/3, 1, 7
Solve d**5/2 - 3*d**4 - 41*d**3/2 + 3*d**2 + 20*d = 0.
-4, -1, 0, 1, 10
Determine y so that -8*y**4/7 - 2*y**3/7 + 96*y**2/7 - 104*y/7 - 32/7 = 0.
-4, -1/4, 2
Suppose -g**4 - 66*g**3 + 348*g**2 - 494*g + 213 = 0. What is g?
-71, 1, 3
Factor -15*s**4 + 5*s**3 + 100*s**2 + 60*s.
-5*s*(s - 3)*(s + 2)*(3*s + 2)
Solve -g**3 + 762*g**2 - 193548*g + 16387064 = 0.
254
Solve j**2/3 - 16*j/3 = 0.
0, 16
Determine c so that -4*c**5/7 + 78*c**4/7 - 50*c**3 - 1072*c**2/7 + 6528*c/7 + 1024 = 0.
-7/2, -1, 8
Determine g so that 2*g**5/7 + 26*g**4/7 + 10*g**3 - 14*g**2 = 0.
-7, 0, 1
Determine r, given that 3*r**4/2 + 279*r**3/8 + 21*r**2/8 - 279*r/2 - 69/2 = 0.
-23, -2, -1/4, 2
Factor 23*n**2 - 3517*n/3 - 34.
(n - 51)*(69*n + 2)/3
Find p such that -p**3/2 + p**2/2 + 481*p/2 - 4225/2 = 0.
-25, 13
Factor -4*i**3/9 - 64*i**2/9 - 92*i/3 - 40.
-4*(i + 3)**2*(i + 10)/9
Suppose j**2/3 - 122*j/3 + 3721/3 = 0. Calculate j.
61
Factor m**2/3 + m/3 - 2/3.
(m - 1)*(m + 2)/3
Factor -38*y**2 - 70*y + 552.
-2*(y - 3)*(19*y + 92)
Factor 2*f**3/9 + 22*f**2/3.
2*f**2*(f + 33)/9
Factor -2*z**3/7 - 7482*z**2/7 - 9330054*z/7 - 3878192446/7.
-2*(z + 1247)**3/7
Suppose c**5/5 - 14*c**4/5 + 53*c**3/5 - 76*c**2/5 + 36*c/5 = 0. What is c?
0, 1, 2, 9
Let -7*c**3/6 + 92*c**2/3 - 227*c/6 + 25/3 = 0. Calculate c.
2/7, 1, 25
Determine a, given that 3*a**4 + 62*a**3/3 + 47*a**2/3 - 2*a = 0.
-6, -1, 0, 1/9
Let 3*x**5 + 141*x**4 + 1581*x**3 - 1869*x**2 - 1584*x + 1728 = 0. What is x?
-24, -1, 1
Suppose 196*w**5 - 156324*w**4 - 223732*w**3 + 9508*w**2 + 63936*w - 12784 = 0. Calculate w.
-1, 2/7, 799
What is q in -9*q**3 - 21*q**2 - 12*q = 0?
-4/3, -1, 0
Suppose -5*f**4 - 66*f**3 - 253*f**2 - 228*f - 36 = 0. Calculate f.
-6, -1, -1/5
Factor 3*b**4 - 36*b**3 + 39*b**2 + 198*b + 120.
3*(b - 10)*(b - 4)*(b + 1)**2
Let -5*r**4 + 75*r**3 - 360*r**2 + 560*r = 0. Calculate r.
0, 4, 7
Solve -2*o**3/7 + 24*o/7 + 32/7 = 0.
-2, 4
What is t in -2010*t**3/13 + 4022*t**2/13 - 2014*t/13 + 2/13 = 0?
1/1005, 1
Solve -h**2/11 + 103*h/11 - 202/11 = 0 for h.
2, 101
Find u, given that 18*u**3 - 5994*u**2 - 6008*u - 1336 = 0.
-2/3, -1/3, 334
Factor 5*k**2 - 175*k - 180.
5*(k - 36)*(k + 1)
Determine i, given that -15*i**5 + 145*i**4 + 410*i**3 + 120*i**2 = 0.
-2, -1/3, 0, 12
What is m in -4*m**3/5 + 36*m**2/5 - 16*m + 48/5 = 0?
1, 2, 6
Factor 4*w**3 - 216*w**2 - 948*w + 1160.
4*(w - 58)*(w - 1)*(w + 5)
Let -4*k**4 + 232*k**3 - 3792*k**2 + 20504*k - 16940 = 0. What is k?
1, 11, 35
Factor -3*p**4/5 - 129*p**3 - 46647*p**2/5 - 1164471*p/5 - 2147466/5.
-3*(p + 2)*(p + 71)**3/5
What is t in 2*t**4/5 - 2*t**3 + 16*t**2/5 - 8*t/5 = 0?
0, 1, 2
Factor 2*v**2 - 1408*v + 2808.
2*(v - 702)*(v - 2)
Factor 3*t**2 - 12*t - 288.
3*(t - 12)*(t + 8)
What is h in -9*h**4 - 39*h**3 + 156*h**2 - 84*h = 0?
-7, 0, 2/3, 2
Factor -2*v**2 - 20*v + 192.
-2*(v - 6)*(v + 16)
Factor -3*f**4 - 1313*f**3 - 7338*f**2 + 2592*f.
-f*(f + 6)*(f + 432)*(3*f - 1)
Factor 4*w**5/3 + 12*w**4 + 92*w**3/3 - 12*w**2 - 144*w - 144.
4*(w - 2)*(w + 2)*(w + 3)**3/3
Factor -5*o**4 + 85*o**3 - 80*o**2.
-5*o**2*(o - 16)*(o - 1)
Factor -r**2/3 + 64*r/3.
-r*(r - 64)/3
Factor -130*h**4 + 72*h**3 - 66*h**2/5 + 4*h/5.
-2*h*(5*h - 1)**2*(13*h - 2)/5
Suppose q**2/6 - 3*q/2 + 3 = 0. Calculate q.
3, 6
Let 4*z**3 - 36*z**2 - 480*z - 1088 = 0. What is z?
-4, 17
Suppose -3*c**2 - 30*c + 72 = 0. Calculate c.
-12, 2
What is c in -8*c**2/7 + 54*c/7 - 36/7 = 0?
3/4, 6
Let -3*j**2/4 - 76*j - 101/4 = 0. What is j?
-101, -1/3
Let l**3 - 181*l**2 + 8280*l - 8100 = 0. Calculate l.
1, 90
Determine g, given that 4*g**5 + 20*g**4 - 132*g**3 + 124*g**2 + 128*g - 144 = 0.
-9, -1, 1, 2
Determine q, given that -4*q**5/3 + 272*q**4/3 - 5572*q**3/3 + 10648*q**2 - 16080*q + 7200 = 0.
1, 6, 30
Find x, given that 2*x**3/5 + 12*x**2/5 + 16*x/5 = 0.
-4, -2, 0
Factor t**4 + 84*t**3 + 2238*t**2 + 18308*t - 20631.
(t - 1)*(t + 23)**2*(t + 39)
Let 5*c**4 + 35*c**3 + 85*c**2 + 85*c + 30 = 0. What is c?
-3, -2, -1
Let -3*s**2 + 108*s - 204 = 0. Calculate s.
2, 34
Solve -25*k**5 - 215*k**4 - 645*k**3 - 865*k**2 - 530*k - 120 = 0.
-4, -2, -1, -3/5
Factor 2*l**2/5 - 2496*l/5 + 2494/5.
2*(l - 1247)*(l - 1)/5
Let -2*m**3 + 42*m**2 - 198*m - 242 = 0. What is m?
-1, 11
Suppose 14*h**4 - 18*h**3 + 4*h**2 = 0. Calculate h.
0, 2/7, 1
Solve 2*h**2/9 + 40*h/9 - 88/9 = 0.
-22, 2
Factor o**5 - 120*o**4 - 121*o**3.
o**3*(o - 121)*(o + 1)
Factor 20*o**3 - 495*o**2 + 820*o - 345.
5*(o - 23)*(o - 1)*(4*o - 3)
Factor -2*d**3/7 + 146*d/7 - 144/7.
-2*(d - 8)*(d - 1)*(d + 9)/7
Suppose -14*m**2/3 + 34*m/3 + 16 = 0. What is m?
-1, 24/7
Factor 2*p**2 + 96*p.
2*p*(p + 48)
Let 3*i**4 - 24*i**3 + 