(g - 1)*(g + 1)*(g + 3)/2
Let f(y) be the third derivative of y**8/672 + 31*y**7/210 - 97*y**6/120 + 17*y**5/30 + 193*y**4/48 - 65*y**3/6 - 1158*y**2. Suppose f(v) = 0. Calculate v.
-65, -1, 1, 2
Let w(n) = 2*n**2 - 322*n - 328. Let c(j) = 4*j + 3. Let h(t) = -4*c(t) + w(t). Factor h(f).
2*(f - 170)*(f + 1)
Let o(y) = 4*y**3 + 123*y**2 - 1800*y. Let m(h) = -6*h**3 - 245*h**2 + 3600*h. Let u = -676 + 666. Let g(x) = u*o(x) - 6*m(x). Let g(d) = 0. What is d?
0, 30
Let l(k) be the second derivative of -k**5/360 + k**4/36 - k**3/9 - 81*k**2/2 - 3*k + 15. Let u(s) be the first derivative of l(s). Find m, given that u(m) = 0.
2
Let k be (-7)/(-28) + (114/56 - 12/42). Let h(n) be the third derivative of 1/90*n**5 + 0 + 0*n - 10/9*n**3 + 36*n**k + 1/12*n**4. Factor h(l).
2*(l - 2)*(l + 5)/3
Let u be (11 - 7) + 3 + -5. Suppose -3*d**4 + d**4 - 2*d - 221*d**3 - 6*d + 229*d**3 + 2*d**u = 0. Calculate d.
-1, 0, 1, 4
Factor 6193*x**2 - 5984180 - 1163*x**2 - 5973240*x + 5905*x**2 - 5*x**3.
-5*(x - 1094)**2*(x + 1)
Let l(o) be the first derivative of 2*o**5/25 - 7*o**4/2 + 168*o**3/5 + 288*o**2/5 - 4154. Find f, given that l(f) = 0.
-1, 0, 12, 24
Suppose 2*j + 59 = 73. Let g(z) = z**2 - 8*z + 9. Let q be g(j). Factor 7*a**q - 10*a - 5*a**3 + 13*a**2 - 5*a**2.
-5*a*(a - 2)*(a - 1)
Suppose -28*c + 621308 - 621196 = 0. Factor -12/11*y + 2/11*y**c - 2*y**2 + 0 - 8/11*y**3.
2*y*(y - 6)*(y + 1)**2/11
Factor 10586*g - 10486*g - 25*g**4 - 545*g**2 + 191*g**3 - 40*g**3 + 79*g**3.
-5*g*(g - 5)*(g - 4)*(5*g - 1)
Let z(a) be the third derivative of -a**6/480 - 7*a**5/120 - 43*a**4/96 - 5*a**3/4 - 2*a**2 + 2049*a. Suppose z(s) = 0. Calculate s.
-10, -3, -1
Let n be (8816/(-1653))/((-16)/6 - -1 - 0). Factor 4/5*c**4 + 56/5*c + n - 28/5*c**3 + 33/5*c**2.
(c - 4)**2*(2*c + 1)**2/5
Let p(v) be the first derivative of v**4/4 + 2*v**3/3 - 15*v**2/2 + 2*v - 16. Let z be p(-5). Factor -3/2*b**4 + 9*b**z + 12*b + 9/2 + 0*b**3.
-3*(b - 3)*(b + 1)**3/2
Suppose 62/7*b**2 + 0*b - 157/7*b**3 + 14*b**4 - 3/7*b**5 + 0 = 0. What is b?
0, 2/3, 1, 31
Suppose 50 = 34145*j - 34135*j. Let p(v) be the third derivative of -2*v**3 + 14*v**2 + 1/15*v**j + 0 + 0*v + 1/3*v**4. Factor p(z).
4*(z - 1)*(z + 3)
Let r(u) = -3*u - 103. Let q be r(-35). Let f be (-1)/(3/(6/(-1))). Solve -2*l**f + 2 + l**q + 4*l**2 - 4*l**2 - l = 0.
-2, 1
Find c such that 1246*c**4 - 13*c**3 + 1827*c**3 - 2352*c + 295*c**3 - 840*c**2 - 163*c**4 = 0.
-28/19, 0, 1
Factor -726*t**3 - 3103857*t - 123*t**3 + 434667*t - 1517*t**4 + 1520*t**4 + 259515*t + 79515*t**2 - 5144250.
3*(t - 95)**3*(t + 2)
Let p = -180 + 185. Factor 4*z - 6*z**2 + 37*z**3 + 4*z**2 + 0*z - 20*z**3 - 23*z**3 + 2*z**p + 2*z**4.
2*z*(z - 1)**2*(z + 1)*(z + 2)
Let k = -780 + 792. Factor -k + 99*u**3 + 3973*u**2 - 27*u - 69*u - 4120*u**2 + 0.
3*(u - 2)*(3*u + 1)*(11*u + 2)
Let 2680/9*u + 2/9*u**2 + 897800/9 = 0. Calculate u.
-670
Suppose -k + 2 = -0. Let t be 6/(-2) - (24 + 1584/(-54)) - -1. Let -4/3*v**2 + 0*v + 0 + k*v**3 + t*v**4 = 0. Calculate v.
-1, 0, 2/5
Suppose -6*w + 2*w - w - 47*w + 468 = 0. Solve -w*l**2 + 0*l - 105/2*l**3 + 9*l**4 + 0 = 0 for l.
-1/6, 0, 6
Let v(r) = 6*r**4 + 54*r**3 + 216*r**2 + 162*r - 429. Let l(n) = -7*n**4 - 56*n**3 - 217*n**2 - 160*n + 428. Let a(b) = -3*l(b) - 4*v(b). Factor a(k).
-3*(k - 1)*(k + 4)**2*(k + 9)
Factor 72/19*d**3 + 0*d + 0 - 2/19*d**4 - 136/19*d**2.
-2*d**2*(d - 34)*(d - 2)/19
Let l(t) be the first derivative of t**5 + 215*t**4/2 + 2255*t**3 - 55440*t**2 + 103680*t + 675. Let l(c) = 0. Calculate c.
-48, 1, 9
Suppose 5*i = -2*c + 8, 0 = -4*i + 2*c + 11 - 1. Factor 5*n - 35*n - 2870*n**i + 2867*n**2.
-3*n*(n + 10)
Let c(h) be the first derivative of 0*h + 1/15*h**6 + 0*h**2 - 132 - 9/5*h**4 + 6/25*h**5 + 0*h**3. Factor c(w).
2*w**3*(w - 3)*(w + 6)/5
Suppose -283*m + 4686 = 948*m + 331*m. Let 3/7*u**m + 0 + 69/7*u + 72/7*u**2 = 0. What is u?
-23, -1, 0
Let w(x) be the first derivative of -x**3/8 - 135*x**2/16 - 243*x/2 - 1524. Factor w(c).
-3*(c + 9)*(c + 36)/8
Let w(d) = -d**3 + 4*d**2 - d + 9. Let a be w(4). Let o(h) = -45*h - 192. Let p(y) = y**2 + 91*y + 384. Let t(b) = a*o(b) + 3*p(b). Factor t(s).
3*(s + 8)**2
Let v = 26/1335 + 508/1335. Let z(u) be the third derivative of 1/12*u**4 + 0*u + 22*u**2 - 1/150*u**5 + 0 + v*u**3. Suppose z(k) = 0. Calculate k.
-1, 6
Let y(z) be the third derivative of -z**7/525 + z**6/20 - 8*z**5/25 + 11*z**4/15 + 8*z**2 - 170*z. Let y(x) = 0. Calculate x.
0, 2, 11
Suppose 0 = 4*a + 4*r + 4, -4*a - 914 = r - 913. Suppose 0 = 3*c - 0*c - 6. Factor 60/7*y**4 + 0*y + 300/7*y**3 + a + 4/7*y**5 + 500/7*y**c.
4*y**2*(y + 5)**3/7
Let d = -2 - -10. Suppose 0 = -137*y + 142*y - 20. Find g such that -1390*g**5 - d*g**y - g**3 + 1394*g**5 + 5*g**3 = 0.
0, 1
Let f(k) = -42*k**2 - 1076*k + 145796. Let n(u) = 11*u**2 - u + 1. Let p(j) = -f(j) - 4*n(j). Let p(s) = 0. What is s?
270
Let i be 10/4*(-868)/(-455). Let l = 126716 - 1647304/13. Solve i*t**2 - l - 58/13*t = 0 for t.
-2/31, 1
Let x = -59069/9 - -6582. Let h(d) be the third derivative of -15*d**2 + 0*d - 1/90*d**5 + 13/18*d**4 + 0 - x*d**3. Let h(u) = 0. What is u?
13
Let c be ((-1)/1)/((-7)/(-21)*-1). Factor c*m**2 - 4*m**3 - 66*m - 2*m**2 + m**4 + 8*m**3 + 60*m.
m*(m - 1)*(m + 2)*(m + 3)
Let z be (0 - 1)/(-3*7/(-903)). Let p = -40 - z. Factor -l**4 - l**p + 158 + l**5 + l**2 - 158.
l**2*(l - 1)**2*(l + 1)
Let p(u) be the third derivative of -u**8/3864 + 2*u**7/2415 + 3*u**6/460 - u**5/345 - 2*u**4/69 - 1237*u**2. Determine h so that p(h) = 0.
-2, -1, 0, 1, 4
Find m such that -30*m**2 - 228*m + 424 + 929*m**3 - 64 + 3*m**4 - 908*m**3 = 0.
-6, -5, 2
Let i(f) be the second derivative of 5*f - 136/15*f**3 + 0 - 4624/5*f**2 - 1/30*f**4. Factor i(n).
-2*(n + 68)**2/5
Let t be ((-4)/(48/(-45)))/((-81)/(-1947672)). Let x = t + -630166/7. Factor 48/7*f**2 - 384/7*f - 2/7*f**3 + x.
-2*(f - 8)**3/7
Determine y so that 416/5*y + 56/5*y**4 - 224/5*y**2 - 2/5*y**5 - 96/5*y**3 + 0 = 0.
-2, 0, 2, 26
Suppose 15*h - 3*w - 90 = 12*h, h - 4*w = 18. Suppose -h + 79 = 15*k. Factor 0*p + 1/5*p**5 + 0*p**2 + 0 + 0*p**4 + 0*p**k.
p**5/5
Let u be 0 + 1 - (-13)/(13/4). Suppose 0*o = -o + u. Factor -3*n**3 - 19*n**5 + 0*n**3 + 20*n**o - 2*n**2.
n**2*(n - 2)*(n + 1)**2
Let j be (2/12)/((-381)/(-635)). Let p(y) be the first derivative of -39 + j*y**2 - 1/12*y**4 + 4/27*y**3 - 2/9*y. Factor p(g).
-(g - 2)*(g + 1)*(3*g - 1)/9
Let y be 7 + (114/(-21))/((-13)/((-1092)/120)). Factor -2/15*q**2 - y + 28/15*q.
-2*(q - 12)*(q - 2)/15
Let x(r) be the third derivative of r**6/240 - 13*r**5/120 - 35*r**4/16 - 57*r**3/4 + 365*r**2 + 11*r. Solve x(t) = 0 for t.
-3, 19
Let k = -26 - -31. Let n = -3 + k. Factor 4*b**3 - 6 + 120 - 27*b**n + 14 + 3*b**2.
4*(b - 4)**2*(b + 2)
Factor 148 - 158/5*f + 2/5*f**2.
2*(f - 74)*(f - 5)/5
Find i, given that 902/9*i - 188/9*i**2 - 356/3 + 2/9*i**3 = 0.
2, 3, 89
Let m(i) be the second derivative of i**4/6 - 109*i**3/3 + 108*i**2 - 585*i. Factor m(b).
2*(b - 108)*(b - 1)
Let g be ((-12)/10)/((-504)/2016). Factor -g*d + 32/5 + 4/5*d**2.
4*(d - 4)*(d - 2)/5
Suppose i = 2*i. Suppose j - 9 = -4*a, -3*a + i*a + 24 = -5*j. Factor -216 + 216 - 2*n**2 + a*n**3 - n**5.
-n**2*(n - 1)**2*(n + 2)
Suppose -17066 = 50*x - 4*x. Let g = 7051/19 + x. Factor -g*l**4 - 14/19*l**3 - 32/19*l**2 + 0 - 24/19*l.
-2*l*(l + 2)**2*(l + 3)/19
What is l in -2035*l**3 - 96*l**2 + 22*l**4 + 2*l**4 + 1991*l**3 + 75*l + 37*l + 4*l**5 = 0?
-7, -2, 0, 1, 2
Find u, given that -81*u**2 + 38*u**2 - 496*u - 1506 + 39*u**2 + 38*u**2 - 32*u**2 = 0.
-3, 251
Factor 1/4*w**2 - 1/4*w**3 - 6 + 7/2*w.
-(w - 3)*(w - 2)*(w + 4)/4
Let n(r) be the first derivative of -2*r**3/3 - 341*r**2 - 680*r - 511. Factor n(t).
-2*(t + 1)*(t + 340)
Let g(f) be the third derivative of f**5/6 + 89*f**4/12 + 28*f**3 - 1713*f**2. Find j, given that g(j) = 0.
-84/5, -1
Let m(z) be the third derivative of z**7/70 + 3*z**6/40 - z**5/4 - 3*z**4/8 + 2*z**3 - 20*z**2 - 6*z + 2. Factor m(o).
3*(o - 1)**2*(o + 1)*(o + 4)
Suppose 15*u + w - 22 = 0, 5*u = -2*w - 326 + 320. Solve 56/5*a**u + 4/5*a**5 + 69/5*a - 27/5*a**3 + 18/5 - 12/5*a**4 = 0 for a.
-2, -1/2, 3
Factor -29/3*b + 4*b**2 - 1/3*b**3 + 6.
-(b - 9)*(b - 2)*(b - 1)/3
Let p(i) be the third derivative of -52/3*i**3 - 5*i**2 - 1/15*i**5 - 5/2*i**4 + 0 - 2*i.