 + 1)
Solve 2*v**2/5 - 4196*v/5 + 2200802/5 = 0 for v.
1049
Factor -4*o**5 - 16*o**4 - 20*o**3 - 8*o**2.
-4*o**2*(o + 1)**2*(o + 2)
Suppose -4*i**4 - 12*i**3 + 216*i**2 - 592*i + 480 = 0. What is i?
-10, 2, 3
Let -5*q**3 + 55*q**2 - 40*q - 100 = 0. What is q?
-1, 2, 10
Suppose 2*f**5 + 28*f**4 + 12*f**3 - 208*f**2 - 350*f - 156 = 0. Calculate f.
-13, -2, -1, 3
Factor -262*g**2 + 278*g - 16.
-2*(g - 1)*(131*g - 8)
Determine q, given that 2*q**3/17 - 8*q**2/17 - 10*q/17 = 0.
-1, 0, 5
Suppose 3*o**3 - 666*o**2 - 1344*o = 0. What is o?
-2, 0, 224
Factor 5*i**4 + 45*i**3 + 115*i**2 + 75*i.
5*i*(i + 1)*(i + 3)*(i + 5)
Suppose 6*n**5/5 - 68*n**4/5 + 174*n**3/5 - 104*n**2/5 - 72*n/5 + 64/5 = 0. What is n?
-2/3, 1, 2, 8
Find u, given that 2*u**2/3 - 116*u/3 - 1846/3 = 0.
-13, 71
What is x in -x**4/6 + 13*x**3/6 - 10*x**2 + 56*x/3 - 32/3 = 0?
1, 4
Suppose -2*t**4 - 14*t**3 + 24*t**2 + 56*t - 64 = 0. Calculate t.
-8, -2, 1, 2
Suppose -4*i**4/5 - 4*i**3/5 + 48*i**2/5 + 112*i/5 + 64/5 = 0. Calculate i.
-2, -1, 4
Suppose 4*g**2 - 560*g = 0. Calculate g.
0, 140
Solve -4*j**3 - 64*j**2 - 256*j = 0.
-8, 0
Determine n, given that 14*n**2/11 - 34*n/11 + 12/11 = 0.
3/7, 2
Factor 2*l**2 - 146*l + 1040.
2*(l - 65)*(l - 8)
Factor 5*a**2 - 590*a + 3360.
5*(a - 112)*(a - 6)
Factor -2*u**4 + 10*u**3 - 18*u**2 + 14*u - 4.
-2*(u - 2)*(u - 1)**3
Suppose f**2 + 26*f - 27 = 0. Calculate f.
-27, 1
Determine j so that -2*j**4/3 - 46*j**3/3 - 130*j**2 - 1450*j/3 - 2000/3 = 0.
-8, -5
Factor 3*f**3 + 2874*f**2 + 5739*f + 2868.
3*(f + 1)**2*(f + 956)
Find v, given that 3*v**4 - 21*v**3 - 9*v**2 + 69*v - 42 = 0.
-2, 1, 7
Factor 7*l**2/3 + 23*l/3 + 2.
(l + 3)*(7*l + 2)/3
Factor -3*k**5/5 - 4503*k**4/5 - 2249994*k**3/5 - 372740994*k**2/5 + 752249997*k/5 - 377254503/5.
-3*(k - 1)**2*(k + 501)**3/5
Solve -z**3 - 19*z**2 - 99*z - 81 = 0 for z.
-9, -1
Let 2*g**5/5 + 24*g**4 + 562*g**3/5 + 652*g**2/5 - 456*g/5 - 176 = 0. What is g?
-55, -2, 1
Factor -15*c**2 + 141*c - 54.
-3*(c - 9)*(5*c - 2)
Find c, given that -3*c**4 - 30*c**3 - 12*c**2 + 126*c - 81 = 0.
-9, -3, 1
Factor 2*l**2/9 + 16*l + 142/9.
2*(l + 1)*(l + 71)/9
Find x, given that -3*x**4 - 33*x**3 + 36*x**2 = 0.
-12, 0, 1
Factor -4*t**3 - 16*t**2 + 4*t + 16.
-4*(t - 1)*(t + 1)*(t + 4)
Factor -2*w**2 - 80*w - 800.
-2*(w + 20)**2
Factor m**3/3 - 119*m**2 + 11025*m - 214375/3.
(m - 175)**2*(m - 7)/3
Find m such that m**4 + 2*m**3 - 3*m**2 = 0.
-3, 0, 1
What is v in v**4 - v**3 - 11*v**2 + 9*v + 18 = 0?
-3, -1, 2, 3
Factor -2*d**2/15 - 346*d/15 + 116/5.
-2*(d - 1)*(d + 174)/15
Factor w**2 - 738*w.
w*(w - 738)
Factor 4*a**3 - 156*a**2 - 160*a.
4*a*(a - 40)*(a + 1)
Factor -11*j**3/4 + 91*j**2/4 - 123*j/2 + 54.
-(j - 3)*(j - 2)*(11*j - 36)/4
What is o in -3*o**3/4 + 63*o**2/4 + 72*o + 75 = 0?
-2, 25
Factor -4*g**2 - 440*g - 864.
-4*(g + 2)*(g + 108)
Find f, given that -2*f**2 - 824*f - 84872 = 0.
-206
What is g in 5*g**3/4 + 9*g**2 + 57*g/4 + 5/2 = 0?
-5, -2, -1/5
Solve -i**3/3 + 6*i**2 + 7*i - 38/3 = 0 for i.
-2, 1, 19
Let -2*t**3/7 - 38*t**2/7 - 48*t/7 + 1440/7 = 0. What is t?
-12, 5
Let -2*k**4/7 + 52*k**3/7 - 48*k**2 - 52*k/7 + 338/7 = 0. What is k?
-1, 1, 13
Find c, given that -c**2/7 - 8*c/7 - 1 = 0.
-7, -1
Factor -g**4/2 - g**3 + 2*g**2 + g - 3/2.
-(g - 1)**2*(g + 1)*(g + 3)/2
Factor 3*w**2 + 51*w.
3*w*(w + 17)
Solve -y**4/8 + 3*y**2/4 - y + 3/8 = 0.
-3, 1
Solve r**2 - 29*r + 28 = 0.
1, 28
Factor 21*o**3 + 1233*o**2 - 354*o.
3*o*(o + 59)*(7*o - 2)
Let -4*a**3 - 8012*a**2 + 16036*a - 8020 = 0. What is a?
-2005, 1
Suppose -l**2/2 - 21*l + 43/2 = 0. What is l?
-43, 1
Let -2*f**5 - 233*f**4 - 111*f**3 + 578*f**2 - 232*f = 0. Calculate f.
-116, -2, 0, 1/2, 1
Suppose 14*i**3 + 4280*i**2 - 1224*i = 0. What is i?
-306, 0, 2/7
Find f such that 5*f**2 + 443*f - 178 = 0.
-89, 2/5
Factor -97*p**2/11 + 292*p/11 - 3/11.
-(p - 3)*(97*p - 1)/11
Factor 15*u**3 + 55*u**2 - 500*u + 160.
5*(u - 4)*(u + 8)*(3*u - 1)
Find f, given that 6*f**5/5 - 262*f**4/5 + 3392*f**3/5 - 2648*f**2 - 960*f = 0.
-1/3, 0, 10, 24
Solve 4*r**5 - 55*r**4 + 118*r**3 + 33*r**2 = 0.
-1/4, 0, 3, 11
Solve -2*f**3 - 70*f**2 - 132*f = 0 for f.
-33, -2, 0
Find n, given that 3*n**3 + 2520*n**2 - 10116*n + 10128 = 0.
-844, 2
Solve 3*a**2 - 33*a + 84 = 0 for a.
4, 7
What is g in 16*g**5/19 - 6*g**4/19 - 80*g**3/19 + 30*g**2/19 + 64*g/19 - 24/19 = 0?
-2, -1, 3/8, 1, 2
Solve -41*r**2 + 23*r + 64 = 0 for r.
-1, 64/41
Solve -5*u**2 - 155*u - 420 = 0 for u.
-28, -3
Find p such that -100*p**3 - 153220*p**2 + 122624*p - 24528 = 0.
-1533, 2/5
Factor 2*z**2/5 + 24*z - 122/5.
2*(z - 1)*(z + 61)/5
Factor 2*p**3 + 2124*p**2 + 561792*p - 1132096.
2*(p - 2)*(p + 532)**2
Factor -2*d**4/17 + 240*d**3/17 - 6444*d**2/17 - 45360*d/17 - 71442/17.
-2*(d - 63)**2*(d + 3)**2/17
Let -3*z**2 - 105*z = 0. Calculate z.
-35, 0
Suppose -2*b**5/9 + 80*b**4/9 = 0. What is b?
0, 40
Determine n so that -n**4 - 38*n**3/5 + 371*n**2/5 + 248*n/5 - 156/5 = 0.
-13, -1, 2/5, 6
Determine b, given that 4*b**4/17 + 2*b**3/17 - 12*b**2/17 + 2*b/17 + 4/17 = 0.
-2, -1/2, 1
Factor -5*v**4 + 135*v**3.
-5*v**3*(v - 27)
Factor -z**3 + 11*z**2.
-z**2*(z - 11)
Factor k**4/8 - 559*k**3/8 + 38919*k**2/4 + 9940*k - 19600.
(k - 280)**2*(k - 1)*(k + 2)/8
Factor -y**5 - 8*y**4 - 22*y**3 - 28*y**2 - 17*y - 4.
-(y + 1)**4*(y + 4)
Find o, given that -5*o**3 + 3705*o**2 + 11150*o + 7440 = 0.
-2, -1, 744
Factor 4*q**3/7 + 5464*q**2/7 + 1865956*q/7.
4*q*(q + 683)**2/7
Factor f**3 - 8*f**2 + 7*f.
f*(f - 7)*(f - 1)
Factor -i**3/3 - 205*i**2 - 42025*i - 8615125/3.
-(i + 205)**3/3
Find m, given that m**4/3 - 4*m**3/3 - 10*m**2/3 + 28*m/3 - 5 = 0.
-3, 1, 5
Solve o**2 - 14*o + 40 = 0 for o.
4, 10
Let 62*x**3/11 - 560*x**2/11 + 514*x/11 - 16/11 = 0. Calculate x.
1/31, 1, 8
Suppose m**4 + 23*m**3 - 94*m**2 - 428*m - 312 = 0. Calculate m.
-26, -2, -1, 6
What is t in 2*t**2/13 - 10*t/13 - 12/13 = 0?
-1, 6
Find w, given that 4*w**2 + 520*w + 516 = 0.
-129, -1
Factor -2*f**5/9 + 20*f**4/3 - 400*f**3/9 + 1120*f**2/9 - 160*f + 704/9.
-2*(f - 22)*(f - 2)**4/9
Determine c, given that 8*c**5/3 - 142*c**4/3 + 604*c**3/3 + 304*c**2/3 - 204*c - 54 = 0.
-1, -1/4, 1, 9
Factor -1029*j**2 + 168*j - 48/7.
-3*(49*j - 4)**2/7
Factor -i**3 + 320*i**2/3 - 8639*i/3 + 5618/3.
-(i - 53)**2*(3*i - 2)/3
Factor 5*y**3 + 5*y**2 - 5*y - 5.
5*(y - 1)*(y + 1)**2
Solve j**5/8 - j**4/8 - j**3/8 + j**2/8 = 0 for j.
-1, 0, 1
What is t in t**3/6 + 39*t**2/2 + 496*t - 13454/3 = 0?
-62, 7
Let 36*p**5/7 + 13*p**4 + 59*p**3/7 - 9*p**2/7 - 11*p/7 + 2/7 = 0. What is p?
-1, 2/9, 1/4
Suppose 2*i**4/17 + 130*i**3/17 + 2772*i**2/17 + 18392*i/17 - 21296/17 = 0. What is i?
-22, 1
What is z in -z**2 - 149*z - 294 = 0?
-147, -2
Factor 4*b**3 + 1152*b**2 + 25920*b + 152064.
4*(b + 12)**2*(b + 264)
What is t in 45*t**3 - 625*t**2 + 2135*t + 245 = 0?
-1/9, 7
Find b such that -2*b**2 - 10*b - 8 = 0.
-4, -1
Factor b**4 + 66*b**3 + 129*b**2 + 64*b.
b*(b + 1)**2*(b + 64)
Factor 2*y**2/15 + 236*y/15 - 496/5.
2*(y - 6)*(y + 124)/15
Factor -b**5 - b**4 + 4*b**3 + 4*b**2.
-b**2*(b - 2)*(b + 1)*(b + 2)
Factor -5*a**4 - 15*a**3 + 20*a**2 + 60*a.
-5*a*(a - 2)*(a + 2)*(a + 3)
Factor -b**3/4 + 7*b**2/2 - 33*b/4.
-b*(b - 11)*(b - 3)/4
Factor m**3/6 + 13*m**2/6 + 26*m/3 + 10.
(m + 2)*(m + 5)*(m + 6)/6
Factor -2*n**4/11 + 196*n**3/11 - 5178*n**2/11 + 18424*n/11 - 17672/11.
-2*(n - 47)**2*(n - 2)**2/11
Factor -4*w**2/5 + 216*w/5 + 236.
-4*(w - 59)*(w + 5)/5
Solve 2*q**2/7 + 48*q + 2016 = 0 for q.
-84
Factor 76*a**4 + 236*a**3 + 24*a**2.
4*a**2*(a + 3)*(19*a + 2)
Find a, given that -2*a**4/5 - 1084*a**3/5 - 149034*a**2/5 - 583192*a/5 - 578888/5 = 0.
-269, -2
Solve -4*t**2/7 - 1416*t/7 - 4212/7 = 0.
-351, -3
Solve -64*w**5/5 - 288*w**4/5 + 124*w**3/5 + 1136*w**2/5 + 528*w/5 + 64/5 = 0 for w.
-4, -2, -1/4, 2
Factor 3*x**5 - 42*x**4 + 153*x**3 - 150*x**2 - 132*x + 216.
3*(x - 9)*(x - 2)**3*(x + 1)
Suppose -2*m**2/3 - 6*m + 224/3 = 0. Calculate m.
-16, 7
Let -20*x**3/7 + 1131*x**2/7 + 512*x/7 + 57/7 = 0. What is x?
-1/4, -1/5, 57
Let 98*y**5/9 - 308*y**4/9 + 74*y**3/9 + 88*y**2/3 + 8*y = 0. What is y?
-3/7, 0, 2
Factor -2*l**3/5 - 1380*l**2 - 1587000*l - 608350000.
-2*(l + 1150)**3/5
Let -15*x**5 + 1059*x**4 - 24414*x**3 + 171504*x**2 + 279936*x + 82944 = 0. Calculate x.
-1, -2/5, 24
Factor 5*j**2 + 1145*j - 1150.
5*(j - 