- 32*m + 36 = 0.
-9, 2
Factor 4*y**3 + 16*y**2 - 284*y + 264.
4*(y - 6)*(y - 1)*(y + 11)
Let -31*d**3 - 158*d**2 - 136*d = 0. What is d?
-4, -34/31, 0
Suppose 18*r**3/5 + 292*r**2/5 + 1216*r/5 + 256/5 = 0. Calculate r.
-8, -2/9
Let i**2 - 17*i - 18 = 0. What is i?
-1, 18
Find i, given that -69*i**3 - 342*i**2 - 399*i + 18 = 0.
-3, -2, 1/23
Factor 3*k**2 - 678*k + 38307.
3*(k - 113)**2
Suppose 11*l**2/6 + 16*l/3 - 1/2 = 0. Calculate l.
-3, 1/11
Let 2*a**2/3 - 66*a = 0. What is a?
0, 99
Suppose 2*o**5 - 2*o**4 - 2*o**3 + 2*o**2 = 0. Calculate o.
-1, 0, 1
Let 2*x**3/15 + 2*x**2/15 - 16*x/15 - 8/5 = 0. Calculate x.
-2, 3
Suppose -5*h**4 - 130*h**3 - 500*h**2 + 5250*h + 5625 = 0. Calculate h.
-15, -1, 5
Determine k so that -k**3/2 + 2*k**2 + 55*k/2 + 25 = 0.
-5, -1, 10
Factor 2*r**5 - 364*r**4 + 22322*r**3 - 475560*r**2 + 885600*r - 432000.
2*(r - 60)**3*(r - 1)**2
Factor r**3/9 - 44*r**2/9 - 241*r/9 - 196/9.
(r - 49)*(r + 1)*(r + 4)/9
Suppose y**4/5 + 31*y**3/5 - 48*y**2/5 - 532*y/5 - 128 = 0. Calculate y.
-32, -2, 5
Determine m so that 7*m**4/4 + 29*m**3/2 + 9*m**2/4 - 29*m/2 - 4 = 0.
-8, -1, -2/7, 1
Factor 2*a**4/11 - 10*a**3/11 - 12*a**2/11.
2*a**2*(a - 6)*(a + 1)/11
Determine n, given that 4*n**4 - 912*n**3 - 3696*n**2 - 3712*n = 0.
-2, 0, 232
Factor -5*h**3 - 45*h**2 - 40*h + 300.
-5*(h - 2)*(h + 5)*(h + 6)
Factor 3*w**5/7 - 3*w**4/7 - 27*w**3/7 - 33*w**2/7 - 12*w/7.
3*w*(w - 4)*(w + 1)**3/7
What is w in -4*w**3 + 24*w**2 - 36*w = 0?
0, 3
Let 3*o**2 - 843*o - 1698 = 0. What is o?
-2, 283
Factor -3*c**2/8 + 9*c/4 - 3.
-3*(c - 4)*(c - 2)/8
Let 14*a**3 - 1032*a**2 + 1720*a + 576 = 0. Calculate a.
-2/7, 2, 72
Determine n, given that -n**3/5 - 3*n**2/5 + 2*n + 24/5 = 0.
-4, -2, 3
Factor -y**4/2 - 3*y**3 - 9*y**2/2.
-y**2*(y + 3)**2/2
Determine c so that 2*c**3/9 + 136*c**2/3 + 7070*c/3 + 40804/9 = 0.
-101, -2
Suppose 6*v**5/19 - 394*v**4/19 - 1636*v**3/19 - 2484*v**2/19 - 1666*v/19 - 22 = 0. Calculate v.
-1, 209/3
Factor -40*p**2 - 252*p - 72.
-4*(p + 6)*(10*p + 3)
Factor -3*c**2 - 630*c + 633.
-3*(c - 1)*(c + 211)
Factor -12977875*u**3/3 - 165675*u**2 - 2115*u - 9.
-(235*u + 3)**3/3
Suppose 4*g**5/3 - 44*g**4 + 1016*g**3/3 + 1288*g**2/3 - 340*g - 1156/3 = 0. Calculate g.
-1, 1, 17
Solve -w**3 - 7*w**2 + 30*w = 0 for w.
-10, 0, 3
Factor -x**5/3 - 22*x**4/3 - 166*x**3/3 - 448*x**2/3 - 49*x/3 + 686/3.
-(x - 1)*(x + 2)*(x + 7)**3/3
Solve 2*b**4 + 12*b**3 + 18*b**2 - 8*b - 24 = 0 for b.
-3, -2, 1
Factor -4*i**3 + 48*i**2 + 4*i - 48.
-4*(i - 12)*(i - 1)*(i + 1)
Factor 2*k**5 - 12*k**4 - 14*k**3.
2*k**3*(k - 7)*(k + 1)
Suppose -3*o**2 + 18*o - 24 = 0. Calculate o.
2, 4
Determine n so that -3*n**3/5 - 186*n**2/5 - 1131*n/5 + 264 = 0.
-55, -8, 1
Suppose 30*r**4 + 651*r**3/2 - 819*r**2/2 + 54*r = 0. Calculate r.
-12, 0, 3/20, 1
Factor 5*x**2 + 500*x - 505.
5*(x - 1)*(x + 101)
Factor 3*k**3/2 - 99*k**2 + 1728*k - 3072.
3*(k - 32)**2*(k - 2)/2
Solve 3*l**4 + 36*l**3 - 423*l**2 - 456*l = 0.
-19, -1, 0, 8
Determine r so that 4*r**5 + 28*r**4 - 8*r**3 - 56*r**2 + 4*r + 28 = 0.
-7, -1, 1
Factor s**4/3 + 64*s**3/3 + 206*s**2 + 1880*s/3 + 1325/3.
(s + 1)*(s + 5)**2*(s + 53)/3
Suppose 3*y**5 + 39*y**4 - 693*y**3 + 2265*y**2 - 2622*y + 1008 = 0. Calculate y.
-24, 1, 2, 7
Factor -o**4/5 + 21*o**3/5 + 19*o**2 + 123*o/5 + 10.
-(o - 25)*(o + 1)**2*(o + 2)/5
Factor 2*d**2/9 + 76*d/9.
2*d*(d + 38)/9
Let u**5 - 4*u**4 + u**3 + 10*u**2 - 4*u - 8 = 0. Calculate u.
-1, 2
Determine p, given that 4*p**2/3 + 200*p/3 + 2356/3 = 0.
-31, -19
Factor 15*d**3 - 117*d**2 - 330*d.
3*d*(d - 10)*(5*d + 11)
Let 2*y**4 + 14*y**3 - 78*y**2 + 106*y - 44 = 0. What is y?
-11, 1, 2
Solve -2*m**4/9 + 40*m**3 - 196*m**2 + 2456*m/9 - 350/3 = 0.
1, 3, 175
Factor 5*h**3 + 35*h**2 + 30*h.
5*h*(h + 1)*(h + 6)
Solve -y**2/3 + 187*y/3 = 0.
0, 187
Solve -2*v**3 + 24*v**2 - 42*v + 20 = 0.
1, 10
Determine j so that 8*j**5/5 + 34*j**4/5 - 192*j**3/5 - 754*j**2/5 - 656*j/5 - 24 = 0.
-6, -2, -1, -1/4, 5
Determine u so that u**5/6 - 20*u**4/3 - 21*u**3 - 64*u**2/3 - 43*u/6 = 0.
-1, 0, 43
Factor -4*i**4 - 172*i**3 - 164*i**2 + 172*i + 168.
-4*(i - 1)*(i + 1)**2*(i + 42)
Factor 5*s**4 + 15*s**3 - 35*s**2 - 75*s + 90.
5*(s - 2)*(s - 1)*(s + 3)**2
Suppose 4*j**4/5 + 504*j**3/5 - 980*j**2 - 1080*j = 0. What is j?
-135, -1, 0, 10
Suppose 3*n**4/5 - 36*n**3/5 + 87*n**2/5 + 126*n/5 - 432/5 = 0. Calculate n.
-2, 3, 8
Factor -2*n**4/7 - 8*n**3/7 + 4*n**2/7 + 24*n/7 - 18/7.
-2*(n - 1)**2*(n + 3)**2/7
Factor -l**3 + 15*l**2/4 - 9*l/4.
-l*(l - 3)*(4*l - 3)/4
Factor 4*g**2/5 + 2752*g/5 - 2756/5.
4*(g - 1)*(g + 689)/5
Suppose 135*h**5/2 - 141*h**4/2 - 267*h**3 + 282*h**2 - 12*h = 0. What is h?
-2, 0, 2/45, 1, 2
Let -6*k**4/5 - 14*k**3/5 = 0. Calculate k.
-7/3, 0
Let 18*z**5/7 + 1356*z**4/7 + 26840*z**3/7 + 48400*z**2/7 = 0. Calculate z.
-110/3, -2, 0
Factor 5*u**2 - 25250*u + 31878125.
5*(u - 2525)**2
Determine j, given that j**3 - 3*j**2 + 3*j - 1 = 0.
1
Factor -g**4/3 + g**3 - g**2 + g/3.
-g*(g - 1)**3/3
Suppose z**5 - 20*z**4 - 2*z**3 + 40*z**2 + z - 20 = 0. What is z?
-1, 1, 20
Factor -605*g**2 - 660*g - 180.
-5*(11*g + 6)**2
Solve -2*r**3/3 + 94*r**2/3 - 88*r/3 - 184/3 = 0 for r.
-1, 2, 46
Solve -2*d**4 + 38*d**2 + 60*d = 0 for d.
-3, -2, 0, 5
Find n such that n**4/2 + 39*n**3 + 1050*n**2 + 10625*n + 46875/2 = 0.
-25, -3
Solve -z**2/4 + 27*z/4 + 29/2 = 0 for z.
-2, 29
Find d, given that 412*d**2 + 410*d - 2 = 0.
-1, 1/206
Let 11*u**4 + 129*u**3/2 + 123*u**2 + 70*u - 12 = 0. What is u?
-2, 3/22
Factor -18*v**2 - 140*v + 32.
-2*(v + 8)*(9*v - 2)
Determine r, given that -4*r**2 + 9*r/2 + 7 = 0.
-7/8, 2
Solve r**2 - 330*r + 27225 = 0.
165
Suppose -i**2/4 + i + 3 = 0. What is i?
-2, 6
Let -2*f**4/3 + 14*f**3/3 + 1322*f**2/3 - 1334*f/3 = 0. What is f?
-23, 0, 1, 29
Determine p so that 3*p**3/4 - 1179*p**2/4 + 27900*p + 210000 = 0.
-7, 200
Solve 4*d**3 - 20*d**2 - 132*d - 108 = 0.
-3, -1, 9
Find m such that -160205*m**5 - 156625*m**4 + 163765*m**3 + 156605*m**2 - 3560*m + 20 = 0.
-1, 2/179, 1
Factor 2*i**3/5 - 92*i**2/5 + 176*i/5.
2*i*(i - 44)*(i - 2)/5
Factor 2*k**2/3 + 1090*k/3 + 1088/3.
2*(k + 1)*(k + 544)/3
Suppose 2*n**2 + 358*n = 0. What is n?
-179, 0
Solve a**5/4 - a**4/4 - 3*a**3/2 = 0.
-2, 0, 3
Solve -2*n**4 - 3088*n**3 - 9250*n**2 - 6164*n = 0.
-1541, -2, -1, 0
Determine x, given that -3*x**5/4 - 99*x**4/4 - 477*x**3/2 - 1149*x**2/2 - 2115*x/4 - 675/4 = 0.
-15, -1
Let -2*a**2 + 596*a - 594 = 0. What is a?
1, 297
Factor 85*k**4 - 1115*k**3 + 130*k**2.
5*k**2*(k - 13)*(17*k - 2)
Factor 4*t**3 + 120*t**2 + 368*t - 1248.
4*(t - 2)*(t + 6)*(t + 26)
Determine c, given that -472*c**2 + 470*c + 2 = 0.
-1/236, 1
Factor -2*a**2 - 104*a - 1352.
-2*(a + 26)**2
Factor 4*h**3 - 4*h**2 - 100*h + 100.
4*(h - 5)*(h - 1)*(h + 5)
Suppose -2*i**2/7 + 20*i/7 + 78/7 = 0. What is i?
-3, 13
Let q**2/3 + 16*q/3 - 12 = 0. What is q?
-18, 2
Factor 4*x**3 - 40*x**2 - 844*x + 880.
4*(x - 20)*(x - 1)*(x + 11)
Suppose 5*p**2 + 810*p + 1600 = 0. Calculate p.
-160, -2
Solve -10*q**4/3 - 23896*q**3 - 642539528*q**2/15 - 171286528*q/5 - 102760448/15 = 0 for q.
-3584, -2/5
Let 36*z**5 - 2229*z**4 + 4167*z**3 - 1611*z**2 - 543*z + 180 = 0. What is z?
-1/3, 1/4, 1, 60
Factor r**2/2 + 21*r/8 - 135/4.
(r - 6)*(4*r + 45)/8
Let -32*t**4/3 - 1408*t**3 - 4190*t**2/3 + 88*t + 262/3 = 0. Calculate t.
-131, -1, -1/4, 1/4
Let -5*g**2 - 995*g - 2940 = 0. What is g?
-196, -3
Factor a**2/5 - 358*a/5 + 32041/5.
(a - 179)**2/5
Factor -3*f**4 + 42*f**3 - 108*f**2 + 102*f - 33.
-3*(f - 11)*(f - 1)**3
Factor 2*d**5/25 - 598*d**4/25 - 2412*d**3/25 - 3628*d**2/25 - 2422*d/25 - 606/25.
2*(d - 303)*(d + 1)**4/25
Factor -y**3/4 - 5*y**2/2 + 63*y/4 + 162.
-(y - 8)*(y + 9)**2/4
Factor 4*v**4 + 56*v**3 + 276*v**2 + 560*v + 400.
4*(v + 2)**2*(v + 5)**2
Factor -25*x**3 + 140*x**2 - 65*x - 50.
-5*(x - 5)*(x - 1)*(5*x + 2)
Factor 2*k**3/17 + 16482*k**2/17 + 45276054*k/17 + 41457773446/17.
2*(k + 2747)**3/17
Factor -j**2 + 7*j - 10.
-(j - 5)*(j - 2)
Factor 14*l**3 - 402*l**2 + 276*l + 112.
2*(l - 28)*(l - 1)*(7*l + 2)
Suppose h**2/5 + 49*h/5 - 10 = 0. Calculate h.
-50, 1
Factor -z**4 + 8*z**3 - 20*z**2 + 16*z.
-z*(z - 4)*(z - 2)**2
Solve -10*i**5 - 66*i**4 - 92*i**3 + 48*i**2 = 0 for i.
-4, -3, 0, 2/5
Suppose 9*l**2 + 303*l + 1794 = 0. Calculate l.
-26, -23/3
Factor 3*p**2 + 96*p.