i**3 + 104*i**2 - 35*i = 0. Calculate i.
-35, 0, 1/3
Determine i so that 8*i**3/15 + 2*i**2/3 - 158*i/15 - 8/3 = 0.
-5, -1/4, 4
Solve n**4 + 812*n**3 + 219510*n**2 + 19682188*n - 19902511 = 0.
-271, 1
Factor -38*c**4 - 32*c**3 + 6*c**2.
-2*c**2*(c + 1)*(19*c - 3)
Solve -2*h**3 - 208*h**2 + 2*h + 208 = 0.
-104, -1, 1
Suppose -2194880*r**3 - 86640*r**2 - 1140*r - 5 = 0. What is r?
-1/76
Suppose s**4/4 + 9*s**3/4 - 7*s**2/2 - 9*s + 10 = 0. Calculate s.
-10, -2, 1, 2
Factor -2*p**3/9 + 736*p**2 + 8840*p/3 + 26528/9.
-2*(p - 3316)*(p + 2)**2/9
Let -n**4/3 + n**2/3 = 0. Calculate n.
-1, 0, 1
Factor 16*u**3/9 - 62*u**2/9 - 22*u/9 + 56/9.
2*(u - 4)*(u + 1)*(8*u - 7)/9
Suppose -2*h**3 - 4*h**2 + 16*h = 0. What is h?
-4, 0, 2
Let -4*l**5 - 92*l**4 + 432*l**3 = 0. Calculate l.
-27, 0, 4
What is x in -2*x**4/3 - 10*x**3/3 + 122*x**2/3 - 110*x/3 = 0?
-11, 0, 1, 5
Suppose g**3 - 115*g**2 + 3248*g + 3364 = 0. What is g?
-1, 58
Factor -4*p**2/7 + 6000*p/7 - 2250000/7.
-4*(p - 750)**2/7
Factor 5*p**2 + 40*p - 240.
5*(p - 4)*(p + 12)
Let -5*l**3 - 2450*l**2 + 9880*l = 0. What is l?
-494, 0, 4
Factor 23*v**5 - 757*v**4 + 2073*v**3 - 1907*v**2 + 508*v + 60.
(v - 30)*(v - 1)**3*(23*v + 2)
Factor y**2/3 + 10*y/3 - 13.
(y - 3)*(y + 13)/3
Factor -3*l**2 - 282*l - 6627.
-3*(l + 47)**2
Factor -2*g**2/9 - 16*g/9 - 10/3.
-2*(g + 3)*(g + 5)/9
Factor 4*u**2 + 36*u + 80.
4*(u + 4)*(u + 5)
Factor 3*g**2 - 246*g + 243.
3*(g - 81)*(g - 1)
Factor -42*x**5/11 - 30*x**4/11 + 12*x**3/11.
-6*x**3*(x + 1)*(7*x - 2)/11
Find r, given that -2*r**5/5 + 6*r**4/5 + 56*r**3/5 + 32*r**2/5 - 192*r/5 - 224/5 = 0.
-2, 2, 7
Determine l, given that 7*l**5/2 - 401*l**4/2 + 2584*l**3 + 8308*l**2 + 3720*l - 1800 = 0.
-2, -1, 2/7, 30
What is y in 20*y**4 + 2985*y**3 + 725*y**2 - 2985*y - 745 = 0?
-149, -1, -1/4, 1
Solve -3*q**2 + 510*q + 1032 = 0 for q.
-2, 172
Suppose -9*h**5 + 231*h**4 + 1400*h**3 + 2664*h**2 + 1968*h + 496 = 0. What is h?
-2, -2/3, 31
Factor 814*v**3 - 810*v**2 - 4*v.
2*v*(v - 1)*(407*v + 2)
Solve 18*c**5 - 642*c**4 + 5942*c**3 - 2342*c**2 - 25168*c - 16224 = 0 for c.
-1, 3, 52/3
Factor -j**3/4 + 25*j**2 - 2397*j/4 - 2601/2.
-(j - 51)**2*(j + 2)/4
Let -17*j**3/2 + 25*j**2 + 173*j/2 + 5 = 0. What is j?
-2, -1/17, 5
Let 14*x**3/25 - 2*x**2/5 - 4*x/25 = 0. Calculate x.
-2/7, 0, 1
Factor -4*m**3 + 32*m**2 - 52*m + 24.
-4*(m - 6)*(m - 1)**2
Factor n**4/4 - 3*n**3/2 + 13*n**2/4 - 3*n + 1.
(n - 2)**2*(n - 1)**2/4
What is r in -2*r**5/7 - 74*r**4/7 - 494*r**3/7 - 122*r**2 + 496*r/7 + 928/7 = 0?
-29, -4, -1, 1
Let -36*p**2 + 3891*p + 2610 = 0. What is p?
-2/3, 435/4
Factor -4*q**4 + 20*q**3 - 12*q**2 - 20*q + 16.
-4*(q - 4)*(q - 1)**2*(q + 1)
Suppose 7*q**4/6 - 355*q**3/6 + 711*q**2 + 2990*q/3 + 676/3 = 0. Calculate q.
-1, -2/7, 26
Let 3*t**2/2 - 402*t + 26934 = 0. What is t?
134
Suppose 2*l**2/7 - 18*l/7 + 40/7 = 0. What is l?
4, 5
Find x, given that 13*x**2/8 - 79*x/8 + 3/4 = 0.
1/13, 6
Let -5*j**4 + 450*j**3 - 11385*j**2 + 56700*j - 79380 = 0. Calculate j.
3, 42
Factor -2*u**3/15 - 74*u**2/15 - 24*u/5.
-2*u*(u + 1)*(u + 36)/15
Factor 5*z**3/4 + 75*z**2/4 - 5*z/4 - 75/4.
5*(z - 1)*(z + 1)*(z + 15)/4
Suppose 12*f**2/5 - 4*f + 8/5 = 0. What is f?
2/3, 1
Determine f so that 35*f**4 + 290*f**3 + 500*f**2 + 120*f = 0.
-6, -2, -2/7, 0
Find a, given that 3*a**3 - 18*a**2 - 81*a = 0.
-3, 0, 9
Solve -4*d**5/5 + 88*d**4/5 - 68*d**3 - 16*d**2 + 1424*d/5 - 1088/5 = 0.
-2, 1, 2, 4, 17
Factor -3*g**3/7 - 1713*g**2/7 - 243672*g/7 + 245388/7.
-3*(g - 1)*(g + 286)**2/7
Factor 5*q**5 - 5*q**4 - 20*q**3 + 20*q**2.
5*q**2*(q - 2)*(q - 1)*(q + 2)
Factor 2*f**3/5 - 32*f**2/5.
2*f**2*(f - 16)/5
Let 2*v**2 - 244*v + 7442 = 0. Calculate v.
61
Determine d so that -d**4/2 + d**3 + d**2/2 - d = 0.
-1, 0, 1, 2
What is z in 12*z**5 - 99*z**4 + 201*z**3 - 27*z**2 - 213*z + 126 = 0?
-1, 1, 2, 21/4
Factor -800*u**2/9 - 6320*u/9 - 12482/9.
-2*(20*u + 79)**2/9
Let -u**2 - 1211*u - 1210 = 0. Calculate u.
-1210, -1
Solve m**5/7 - 4*m**4/7 - m**3 + 34*m**2/7 - 24*m/7 = 0 for m.
-3, 0, 1, 2, 4
Factor -2*a**2/9 + 76*a - 682/9.
-2*(a - 341)*(a - 1)/9
Solve 2523*k**3 - 2871*k**2 + 360*k - 12 = 0 for k.
2/29, 1
Let -4*v**2 + 120*v = 0. Calculate v.
0, 30
Let -4*m**2 + 166*m + 258 = 0. Calculate m.
-3/2, 43
Suppose -3*h**2/5 - 21*h = 0. What is h?
-35, 0
Suppose -5*v**5 + 30*v**4 + 195*v**3 - 800*v**2 - 1680*v + 5760 = 0. What is v?
-4, 3, 8
Find l such that -3*l**2/4 - 39*l/4 = 0.
-13, 0
Suppose 21*y**3 + 135864*y**2 + 219730905*y - 62791350 = 0. Calculate y.
-3235, 2/7
Factor 3*o**5 + 21*o**4 + 48*o**3 + 24*o**2 - 48*o - 48.
3*(o - 1)*(o + 2)**4
What is c in -12*c**2 - 272*c - 176 = 0?
-22, -2/3
Let 12*o**5 + 116*o**4 + 260*o**3 - 100*o**2 = 0. Calculate o.
-5, 0, 1/3
Let 2*w**4/9 + 62*w**3/9 - 206*w**2/9 - 62*w/9 + 68/3 = 0. Calculate w.
-34, -1, 1, 3
Let -f**5/4 + 13*f**4/2 - 12*f**3 = 0. Calculate f.
0, 2, 24
Factor -2*q**2/3 - 26*q/3 - 8.
-2*(q + 1)*(q + 12)/3
Suppose 4*v**4/5 - 36*v**3/5 = 0. What is v?
0, 9
Determine d so that 2*d**4/5 + 4*d**3/5 - 62*d**2/5 + 56*d/5 = 0.
-7, 0, 1, 4
Factor -2*w**4/7 + 614*w**3/7 - 13968*w**2/7 + 109696*w/7 - 289792/7.
-2*(w - 283)*(w - 8)**3/7
Factor -14*j**3/3 - 13*j**2 + 65*j/3 - 4.
-(j - 1)*(j + 4)*(14*j - 3)/3
What is r in -183*r**3 - 1092*r**2 + 1317*r - 42 = 0?
-7, 2/61, 1
Factor -z**2/4 - 245*z/4 - 61.
-(z + 1)*(z + 244)/4
Find k, given that k**4/4 - 26*k**3 + 489*k**2/4 + 297*k/2 = 0.
-1, 0, 6, 99
Suppose -l**2/3 - 17*l - 48 = 0. What is l?
-48, -3
Factor -b**4 - 6*b**3 + 9*b**2 + 14*b.
-b*(b - 2)*(b + 1)*(b + 7)
Suppose v**3/8 - 11*v**2/8 - 3*v/2 = 0. What is v?
-1, 0, 12
Find b such that -4*b**5 - 16*b**4 + 16*b**3 + 88*b**2 - 12*b - 72 = 0.
-3, -1, 1, 2
Suppose 2*m**2 - m/2 = 0. What is m?
0, 1/4
Let -2*j**5 + 10*j**4 - 10*j**3 - 10*j**2 + 12*j = 0. What is j?
-1, 0, 1, 2, 3
Solve -f**4/2 - 21*f**3/2 + 95*f**2/2 - 123*f/2 + 25 = 0 for f.
-25, 1, 2
Determine z so that z**4/4 + 3*z**3/4 - 5*z**2/4 - 3*z/4 + 1 = 0.
-4, -1, 1
Solve -6*f**2 + 801*f - 399 = 0.
1/2, 133
Factor u**5/4 + u**4/4 - 3*u**3.
u**3*(u - 3)*(u + 4)/4
What is q in -15*q**5/7 - 33*q**4/7 + 39*q**3/7 + 69*q**2/7 - 48*q/7 - 12/7 = 0?
-2, -1/5, 1
Factor m**3/9 + 100*m**2/9 - 103*m/9 - 202/9.
(m - 2)*(m + 1)*(m + 101)/9
Factor 27*g**3/5 - 288*g**2 - 969*g/5 - 162/5.
3*(g - 54)*(3*g + 1)**2/5
Determine d, given that -d**4/4 + 73*d**3/2 - 287*d**2/4 - 73*d/2 + 72 = 0.
-1, 1, 2, 144
Let h**4/2 + h**3 - 7*h**2/2 - 4*h + 6 = 0. What is h?
-3, -2, 1, 2
Factor -10*m**4/9 + 76*m**3/3 - 128*m**2 - 192*m.
-2*m*(m - 12)**2*(5*m + 6)/9
Let -2*b**5/11 + 32*b**4/11 - 84*b**3/11 + 80*b**2/11 - 26*b/11 = 0. Calculate b.
0, 1, 13
What is h in 3*h**3/5 - 78*h**2/5 - 3*h/5 + 78/5 = 0?
-1, 1, 26
Determine w so that 2*w**5/11 + 24*w**4/11 - 64*w**3/11 - 108*w**2/11 + 62*w/11 + 84/11 = 0.
-14, -1, 1, 3
Factor b**4/4 - 71*b**3/4 - 619*b**2/4 - 1021*b/4 - 237/2.
(b - 79)*(b + 1)**2*(b + 6)/4
Solve -k**2/4 + 283*k/2 - 80089/4 = 0 for k.
283
Factor 14*i**3 + 200*i**2 + 392*i + 96.
2*(i + 2)*(i + 12)*(7*i + 2)
Let v**2 + 768*v + 147456 = 0. Calculate v.
-384
Solve 2*g**2 + 220*g + 432 = 0.
-108, -2
Find a such that a**2/3 - 2552*a/3 + 1628176/3 = 0.
1276
Find l such that 2*l**3/7 - 4*l**2/7 - 10*l/7 + 12/7 = 0.
-2, 1, 3
Solve 2*k**4/13 + 46*k**3/13 + 228*k**2/13 + 424*k/13 + 272/13 = 0 for k.
-17, -2
Suppose 20*x**3 + 188*x**2 - 3168*x - 1296 = 0. Calculate x.
-18, -2/5, 9
Find i such that -25*i**3 - 355*i**2 - 670*i - 120 = 0.
-12, -2, -1/5
Factor -4*v**4/5 + 68*v**3 - 620*v**2 + 1500*v.
-4*v*(v - 75)*(v - 5)**2/5
Factor 2*p**3/9 - 146*p**2/9 + 680*p/9.
2*p*(p - 68)*(p - 5)/9
Determine k so that k**2/8 - 87*k/8 - 206 = 0.
-16, 103
Let y**2/4 - 17*y/2 + 253/4 = 0. What is y?
11, 23
Factor -w**4 + 5*w**3 - 7*w**2 + 3*w.
-w*(w - 3)*(w - 1)**2
Factor -22*h**2 - 20016*h + 3640.
-2*(h + 910)*(11*h - 2)
Solve -j**2/12 - 85*j/2 - 254/3 = 0.
-508, -2
Determine s, given that -15*s**3/2 - 87*s**2/4 - 51*s/4 + 3/2 = 0.
-2, -1, 1/10
What is n in 2*n**5/3 - 4*n**4/3 - 24*n**3 + 208*n**2/3 + 256*n/3 - 256 = 0?
-6, -2, 2, 4
Factor v**4/3 - 9*v**3 + 17*v**2 - 25*v/3.
v*(v - 25)*(v - 1)**2/3
Solve -x**3/2 - 25*x**2/2 + 127*x + 480 = 0.
-32, -3, 10
Find v, given that 5*v**2 - 910*v + 3560 = 0.
4, 178
Factor s**3/5 + s**2 + 6*s/5.
s*(s + 2)*(s + 3)/5
What