/13
Suppose 15*c**4 + 3201*c**3 + 166518*c**2 - 458784*c - 209952 = 0. What is c?
-108, -2/5, 3
Factor -k**3/10 - 122*k**2/5 - 7442*k/5.
-k*(k + 122)**2/10
Find x, given that -4*x**4 + 108*x**3 - 948*x**2 + 2948*x - 2904 = 0.
2, 3, 11
Suppose -5*i**2/2 + 2209*i + 884 = 0. Calculate i.
-2/5, 884
Find q, given that 16*q**5 + 1944*q**4 + 58561*q**3 - 29646*q**2 + 3721*q = 0.
-61, 0, 1/4
Find m, given that 7*m**4/6 - 43*m**3/2 + 135*m**2 - 306*m + 108 = 0.
3/7, 6
Factor 3*p**4 - 105*p**3 + 297*p**2 - 291*p + 96.
3*(p - 32)*(p - 1)**3
Factor -5*m**4 + 440*m**3 + 935*m**2 - 3170*m + 1800.
-5*(m - 90)*(m - 1)**2*(m + 4)
What is y in 4*y**3 - 172*y**2 - 356*y - 180 = 0?
-1, 45
Factor 6*v**3/11 + 6246*v**2/11 - 12510*v/11 + 6258/11.
6*(v - 1)**2*(v + 1043)/11
Factor 2*f**4 - 42*f**3 - 2*f**2 + 42*f.
2*f*(f - 21)*(f - 1)*(f + 1)
Suppose -x**2/3 + 5*x - 26/3 = 0. What is x?
2, 13
Suppose x**2/3 - 14*x/3 + 16 = 0. What is x?
6, 8
What is n in 25*n**4/3 + 2665*n**3/3 + 69130*n**2/3 - 33660*n + 9720 = 0?
-54, 2/5, 1
Let -2*m**4/13 + 140*m**3/13 + 22*m**2 + 144*m/13 = 0. What is m?
-1, 0, 72
Find u such that -26*u**4/7 + 74*u**3/7 + 116*u**2/7 - 296*u/7 - 48/7 = 0.
-2, -2/13, 2, 3
Determine l so that -4*l**5 + 8*l**4 + 12*l**3 - 16*l**2 - 16*l = 0.
-1, 0, 2
Factor 3*t**4/2 - 69*t**3/2 + 465*t**2/2 - 975*t/2.
3*t*(t - 13)*(t - 5)**2/2
Determine l, given that -l**2/2 + 369*l - 136161/2 = 0.
369
Let 378*y**5 + 2586*y**4 - 1348*y**3/3 - 200*y**2 + 112*y/3 = 0. What is y?
-7, -2/7, 0, 2/9
Solve -x**3 + 19*x**2 + 36*x - 684 = 0.
-6, 6, 19
Let -3*o**2 + 129*o + 132 = 0. Calculate o.
-1, 44
Factor 4*a**2/3 - 56*a + 164/3.
4*(a - 41)*(a - 1)/3
Determine s, given that -2*s**4 + 920*s**3 - 10848*s**2 + 43136*s - 57344 = 0.
4, 448
Factor 4*n**3/5 - 28*n**2/5.
4*n**2*(n - 7)/5
Determine c so that 2*c**3/5 - 134*c**2/5 + 1702*c/5 + 19166/5 = 0.
-7, 37
Factor p**2/4 + 26*p - 108.
(p - 4)*(p + 108)/4
Factor 646416*s**4 + 3216*s**3 + 4*s**2.
4*s**2*(402*s + 1)**2
Factor -4*f**2 + 60*f + 136.
-4*(f - 17)*(f + 2)
What is t in -2*t**2 - 194*t + 396 = 0?
-99, 2
Factor 4*p**2/3 + 42*p + 62/3.
2*(p + 31)*(2*p + 1)/3
Solve -2*l**5 - 8*l**4 + 2*l**3 + 8*l**2 = 0.
-4, -1, 0, 1
Solve 3*z**3 + 156*z**2 + 303*z + 150 = 0 for z.
-50, -1
Find g such that -3*g**4 - 6*g**3 + 9*g**2 + 12*g - 12 = 0.
-2, 1
Solve -10*k**2/3 + 4*k - 2/3 = 0.
1/5, 1
Find d, given that -70*d**2 - 146*d - 36 = 0.
-9/5, -2/7
Factor h**5/2 + 5*h**4/2 - 31*h**3/2 + 43*h**2/2 - 9*h.
h*(h - 2)*(h - 1)**2*(h + 9)/2
Solve 5*n**2 + 85*n + 350 = 0 for n.
-10, -7
Factor t**3/7 + t**2 + 8*t/7 - 16/7.
(t - 1)*(t + 4)**2/7
Find z, given that -3*z**2/5 + 96*z/5 + 1419/5 = 0.
-11, 43
Suppose -2*z**5 - 22*z**4/9 + 50*z**3/9 + 10*z**2/3 - 32*z/9 - 8/9 = 0. What is z?
-2, -1, -2/9, 1
Factor 3*r**4/2 - 33*r**3 + 363*r**2/2.
3*r**2*(r - 11)**2/2
Determine m, given that m**2/5 - 9296*m/5 + 21603904/5 = 0.
4648
Let 4*g**4 + 36*g**3 - 248*g**2 + 432*g - 224 = 0. What is g?
-14, 1, 2
Solve 14*y**4/11 + 346*y**3/11 - 7562*y**2/11 + 9230*y/11 - 2028/11 = 0 for y.
-39, 2/7, 1, 13
Factor l**3 - 2363*l**2 - 9464*l - 9468.
(l - 2367)*(l + 2)**2
Let a**3/3 + 892*a**2/3 + 66007*a - 133206 = 0. Calculate a.
-447, 2
Factor 2*a**3 + 1026*a**2/7 - 744*a/7 - 296/7.
2*(a - 1)*(a + 74)*(7*a + 2)/7
Find z, given that 28*z**5/5 - 344*z**4/5 + 676*z**3/5 - 72*z**2 = 0.
0, 1, 9/7, 10
What is q in 3*q**2/8 + 825*q/2 - 1653/2 = 0?
-1102, 2
Suppose -4*g**4 - 92*g**3 - 108*g**2 + 1404*g + 3024 = 0. What is g?
-21, -3, 4
Factor 3*o**2/7 - 66*o/7 + 120/7.
3*(o - 20)*(o - 2)/7
Factor 2*v**3/7 - 52*v**2/7 - 670*v/7 - 1800/7.
2*(v - 36)*(v + 5)**2/7
Solve -2*r**5/5 - 6*r**4/5 + 6*r**3/5 + 14*r**2/5 - 12*r/5 = 0 for r.
-3, -2, 0, 1
Determine s so that -2*s**2/3 - 70*s/3 - 392/3 = 0.
-28, -7
Solve -z**4/4 + 3*z**3/4 + 5*z**2/4 - 3*z/4 - 1 = 0.
-1, 1, 4
Factor 2*y**2 + 96*y + 94.
2*(y + 1)*(y + 47)
Let -3*d**2/5 - 42*d/5 = 0. Calculate d.
-14, 0
Factor s**5/7 + 2*s**4/7 - 6*s**3/7 - 20*s**2/7 - 19*s/7 - 6/7.
(s - 3)*(s + 1)**3*(s + 2)/7
Determine x, given that 2*x**2 - 252*x - 1584 = 0.
-6, 132
Let 4*h**2 + 376*h + 372 = 0. Calculate h.
-93, -1
Suppose -2*v**3/3 - 54*v**2 - 1216*v - 14440/3 = 0. What is v?
-38, -5
Factor 2*k**3/13 - 504*k**2/13 - 510*k/13 + 1012/13.
2*(k - 253)*(k - 1)*(k + 2)/13
Factor -b**4/3 + 2*b**3 + 5*b**2 + 8*b/3.
-b*(b - 8)*(b + 1)**2/3
Factor 4*w**3 - 40*w**2 - 4*w + 40.
4*(w - 10)*(w - 1)*(w + 1)
Solve -8*f**5/15 + 14*f**4/15 + 8*f**3/5 - 58*f**2/15 + 28*f/15 = 0.
-2, 0, 1, 7/4
Solve t**3 - 19*t**2 - 41*t - 21 = 0 for t.
-1, 21
Find f, given that -6*f**5 + 50*f**4 - 18*f**3 - 330*f**2 - 376*f - 120 = 0.
-1, -2/3, 5, 6
Solve -5*q**2 - 30*q = 0 for q.
-6, 0
What is w in 4*w**5/3 - 91*w**4/3 - 227*w**3/3 + 41*w**2/3 + 223*w/3 + 50/3 = 0?
-2, -1, -1/4, 1, 25
Solve 5*w**3 - 620*w**2 + 17225*w + 126750 = 0.
-6, 65
Let -10*x**3/7 - 104*x**2/7 + 200*x/7 + 96/7 = 0. Calculate x.
-12, -2/5, 2
Factor -2*k**3/7 - 48*k**2/7 - 298*k/7 - 60.
-2*(k + 2)*(k + 7)*(k + 15)/7
Factor 5*l**4 + 15*l**3 + 10*l**2.
5*l**2*(l + 1)*(l + 2)
Suppose -2*o**5/11 - 12*o**4/11 + 118*o**3/11 - 288*o**2/11 + 280*o/11 - 96/11 = 0. Calculate o.
-12, 1, 2
Suppose 4*r**3 + 220*r**2 = 0. What is r?
-55, 0
Factor -2*k**4/7 + 2*k**2/7.
-2*k**2*(k - 1)*(k + 1)/7
Suppose 4*r**3 + 3142*r**2/3 + 205408*r/3 - 34322/3 = 0. What is r?
-131, 1/6
Suppose w**2/3 - 10*w/3 - 11/3 = 0. What is w?
-1, 11
Factor -b**3/2 - 117*b**2 - 9126*b - 237276.
-(b + 78)**3/2
Let 4*l**2 - 104*l/5 - 96/5 = 0. What is l?
-4/5, 6
Let -4*v**5 + 56*v**4 - 180*v**3 - 224*v**2 + 784*v = 0. Calculate v.
-2, 0, 2, 7
Factor 3*f**5 - 24*f**4 - 504*f**3 + 7776*f**2 - 37584*f + 62208.
3*(f - 6)**4*(f + 16)
Determine p, given that 2*p**2 + 1880*p + 441800 = 0.
-470
Determine m, given that -m**3/2 + 4*m**2 + 61*m/2 + 26 = 0.
-4, -1, 13
Factor -2*b**4/3 + 4*b**3 + 32*b**2/3.
-2*b**2*(b - 8)*(b + 2)/3
Find h such that -h**2/6 + 73*h/6 = 0.
0, 73
Factor 4*w**2 - 848*w - 1712.
4*(w - 214)*(w + 2)
Determine t so that -4*t**4/3 + 140*t**3/3 + 48*t**2 = 0.
-1, 0, 36
Determine g so that -4*g**2 + 16*g + 128 = 0.
-4, 8
Factor -m**4 + 715*m**3 + 717*m**2 - 715*m - 716.
-(m - 716)*(m - 1)*(m + 1)**2
Factor 5*g**4 - 340*g**3 + 1595*g**2 - 1260*g.
5*g*(g - 63)*(g - 4)*(g - 1)
Let 3*x**5 + 6*x**4 - 6*x**2 - 3*x = 0. What is x?
-1, 0, 1
Factor 2*z**2/9 - 4*z/3 + 10/9.
2*(z - 5)*(z - 1)/9
Let 3*k**5 - 21*k**4 + 36*k**3 + 12*k**2 - 48*k = 0. Calculate k.
-1, 0, 2, 4
Factor 5*b**3 + 210*b**2 - 435*b + 220.
5*(b - 1)**2*(b + 44)
Factor 2*j**5/9 - 28*j**4/9 + 64*j**3/9 + 256*j**2/9.
2*j**2*(j - 8)**2*(j + 2)/9
Suppose 80*h**4/9 - 364*h**3/3 + 396*h**2 - 1976*h/9 + 32 = 0. What is h?
1/4, 2/5, 4, 9
Factor j**5 - 5*j**4 - 13*j**3 - 7*j**2.
j**2*(j - 7)*(j + 1)**2
Determine p, given that p**4/6 - 11*p**3/6 + 5*p**2/2 + 33*p/2 - 36 = 0.
-3, 3, 8
Suppose -3*q**5/5 + 96*q**4/5 + 501*q**3/5 - 18198*q**2/5 - 34020*q - 81000 = 0. Calculate q.
-6, 25
Factor 3*r**3/5 + 9*r**2 + 42*r/5.
3*r*(r + 1)*(r + 14)/5
Factor -3*b**2/4 + 3219*b - 3453987.
-3*(b - 2146)**2/4
Factor 2*j**2/3 + 10*j - 728/3.
2*(j - 13)*(j + 28)/3
Suppose -a**4/9 - 13*a**3/9 - 14*a**2/9 + 88*a/9 = 0. What is a?
-11, -4, 0, 2
Factor -15*r**2/4 + 39*r/4.
-3*r*(5*r - 13)/4
What is g in -2*g**3 + 178*g**2 - 176*g = 0?
0, 1, 88
Solve 10*u**2 + 635*u - 975 = 0 for u.
-65, 3/2
Solve 2*u**4/13 - 108*u**3/13 - 342*u**2/13 - 8*u/13 + 456/13 = 0 for u.
-2, 1, 57
Factor 4*z**2 + 20*z - 96.
4*(z - 3)*(z + 8)
Determine p, given that 48*p**3 - 436*p**2 - 444*p + 40 = 0.
-1, 1/12, 10
Determine i, given that 2*i**2 - 42*i + 180 = 0.
6, 15
Factor -19*v**2/3 - 125*v/3 - 50.
-(v + 5)*(19*v + 30)/3
Let g**5/12 + 5*g**4/12 + 7*g**3/12 + g**2/4 = 0. What is g?
-3, -1, 0
Factor -3*h**5 - 36*h**4 - 60*h**3 + 6*h**2 + 63*h + 30.
-3*(h - 1)*(h + 1)**3*(h + 10)
Determine o so that -2*o**4 - 4*o**3 + 46*o**2 + 48*o - 288 = 0.
-4, 3
Suppose 5*d**3 + 105*d**2 + 195*d - 4225 = 0. Calculate d.
-13, 5
Solve 11*d**3/3 - 10*d**2/3 - 13*d/3 + 4 = 0.
-12/11, 1
Factor 30*g**4 + 29*g**3 - 57*g**2 + 10*g.
g*(g + 2)*(5*g - 1)*(6*g - 5)
Suppose 6*z**5/5 + 116*z**4/5 + 98*z**3/5 - 916*z**2/5 - 1608*z/5 - 432/5 = 0. Calculate z.
-18, -2, -1/3, 3
Factor -2*c**3/7 + 8*c**2/7 + 6*c/7 - 36/7.
-2*(c - 3)**2*(c + 2)/7
Suppose -5*w