nd derivative of h**6/780 - h**5/195 - h**4/156 + 2*h**3/39 - 83*h**2/2 + 12*h + 7. Let z(x) be the first derivative of y(x). Factor z(g).
2*(g - 2)*(g - 1)*(g + 1)/13
Suppose 32*t - 28/17*t**3 - 40/17 + 226/17*t**2 = 0. Calculate t.
-2, 1/14, 10
Factor 25*k**4 - 8*k**4 + 1280 - 128*k - 240*k**2 - 16*k**3 - 7*k**4 - 3*k**4 - 3*k**4.
4*(k - 10)*(k - 2)*(k + 4)**2
Let h(o) = 7*o**2 - 9009*o + 2582. Let j(b) = -21*b**2 + 27026*b - 7750. Let f(v) = 28*h(v) + 8*j(v). Factor f(m).
4*(m - 1287)*(7*m - 2)
Let q(d) be the third derivative of -d**5/30 + 16*d**4/3 - 116*d**3 + 19*d**2 + 62*d. Suppose q(m) = 0. Calculate m.
6, 58
Let h(k) = k**3 + 4*k**2 - 8*k - 2. Let w be h(-5). Suppose w*d = 23*d - 20. Find t, given that 8/5 + 4/5*t + 1/10*t**d = 0.
-4
Let m(o) be the third derivative of 65*o**2 + 0 + 0*o + 1/180*o**5 + o**3 - 11/72*o**4. Factor m(b).
(b - 9)*(b - 2)/3
Let d(o) be the first derivative of o**5/30 + 5*o**4/8 + 23*o**3/9 - 8*o**2 - 64*o/3 + 941. Determine l, given that d(l) = 0.
-8, -1, 2
Let t(j) = 23*j - 2205. Let h be t(96). Factor 0 - 5/4*v**h - 1/2*v**2 + 0*v.
-v**2*(5*v + 2)/4
Let j(s) be the first derivative of -s**3 + 0*s + 0*s - 142*s**2 + 148*s**2 + 187. Factor j(h).
-3*h*(h - 4)
Determine b so that 128/3 + 178/9*b**3 - 890/9*b**2 - 32/9*b + 58*b**4 - 18*b**5 = 0.
-8/9, 1, 3
Let c(q) be the first derivative of 81*q**5/20 + 3*q**4 - 13*q**3/2 + 3*q**2 - 147*q + 7. Let v(f) be the first derivative of c(f). Factor v(s).
3*(s + 1)*(3*s - 1)*(9*s - 2)
Let x(w) be the first derivative of -259 - 1/3*w**3 - 4*w**2 - 12*w. Factor x(d).
-(d + 2)*(d + 6)
Let j(n) be the third derivative of -1/18*n**4 + 0*n - 2/9*n**3 - 1/180*n**5 + 5 + 4*n**2. Determine w, given that j(w) = 0.
-2
Suppose 11 + 289 - 75*x + 3*x**2 + 2*x**2 + 225 - 115*x = 0. What is x?
3, 35
Let t be ((-35728)/572 - -61)*8/(-76). Factor t*h**2 - 2/13 + 0*h.
2*(h - 1)*(h + 1)/13
Let y(l) be the second derivative of 47/15*l**3 + 2209/10*l**2 + 1/60*l**4 + 15 + 5*l. Factor y(a).
(a + 47)**2/5
Let i = 20618 + -20613. Let -14/15*p - 4/15*p**4 + 4/15 - 4/15*p**3 + 16/15*p**2 + 2/15*p**i = 0. Calculate p.
-2, 1
Let u = -814 - -826. Suppose 4*t - u = -6*p, -2*p + 9 - 5 = -5*t. Factor -147/2 - 21*d - 3/2*d**p.
-3*(d + 7)**2/2
Let t be 50/10 - 12338/18. Let c = -680 - t. Factor -c*n + 2/9*n**4 + 0*n**3 + 0 - 2/3*n**2.
2*n*(n - 2)*(n + 1)**2/9
Let y(q) = -38 + 17*q - 3*q - 4*q + 104. Let n be y(-6). Factor 3*s**2 + 2*s**5 - 3*s**2 + 38*s**3 - 34*s**3 + n*s**4.
2*s**3*(s + 1)*(s + 2)
Let x(v) = 16*v**4 + 282*v**3 + 3094*v**2 - 7279*v + 22. Let t(z) = -3*z**4 - 56*z**3 - 619*z**2 + 1456*z - 4. Let l(r) = 22*t(r) + 4*x(r). Factor l(b).
-2*b*(b - 2)*(b + 27)**2
Suppose 64 = 16*t - 12*t. Suppose 0 = 4*k + t, -5*z + 2*z = -2*k - 14. Factor -62*y**4 + 65*y**4 + y - y**3 - y**2 - z*y**2.
y*(y - 1)*(y + 1)*(3*y - 1)
Let b(i) be the first derivative of -i**3/9 + 47*i**2/6 + 168*i - 173. Factor b(o).
-(o - 56)*(o + 9)/3
Let m(a) be the first derivative of -27 + 0*a**4 + 1/6*a**3 + 0*a**2 + 0*a - 1/10*a**5. Factor m(c).
-c**2*(c - 1)*(c + 1)/2
Let l(q) be the first derivative of -2*q**5/5 - 71*q**4/4 - 335*q**3/3 - 75*q**2 + 861. Determine r, given that l(r) = 0.
-30, -5, -1/2, 0
Let d(r) = -3*r - 24. Let a be d(-13). Factor b**4 + 10*b**2 + 18*b**3 + 2*b**3 - 352*b - a + 332*b + 4*b**4.
5*(b - 1)*(b + 1)**2*(b + 3)
Let k(o) = 4*o**5 - 19*o**3 + 10*o**2 + 15*o - 9. Let s be 18/54*(-2 - 1). Let j(f) = f**5 - f**3 - 1. Let x(d) = s*k(d) - j(d). Factor x(g).
-5*(g - 1)**3*(g + 1)*(g + 2)
Let v be (6/135)/(8496/(-405) + 21). Factor -9/2*d**v - d - 2*d**3 + 0.
-d*(d + 2)*(4*d + 1)/2
Let l(z) be the second derivative of -z**5/12 - 5*z**4/8 + 15*z**3 + 39*z**2/2 - 50*z. Let s(g) be the first derivative of l(g). Find w, given that s(w) = 0.
-6, 3
Suppose 5*h - 2*p - 12 = 0, 0 = -26*h - 4*p - p + 47. Find b, given that 0*b - 10/13*b**4 - 2/13*b**5 - 16/13*b**3 - 8/13*b**h + 0 = 0.
-2, -1, 0
Let p(t) be the second derivative of 1/15*t**4 - 16/5*t**3 - 2*t - 65 - 10*t**2. Factor p(b).
4*(b - 25)*(b + 1)/5
Let i(t) be the second derivative of t**6/30 + t**5/15 - 4*t**4/3 - 8*t**3 - 31*t**2/2 - 35*t. Let j(s) be the first derivative of i(s). Factor j(g).
4*(g - 3)*(g + 2)**2
Let v(w) = -w**3 - 6*w**2 - w - 3. Suppose -14*q = -10*q + 24. Let j be v(q). Suppose 60*t - 7*t**2 - 59*t + j*t**3 + 4*t**2 - t**4 = 0. Calculate t.
0, 1
Let w(m) = -6*m**2 + 8211*m - 5630688. Let h(l) = 13*l**2 - 16419*l + 11261372. Let d(r) = 3*h(r) + 7*w(r). What is p in d(p) = 0?
1370
Solve 253/4*i + 1/4*i**3 - 63/2 - 32*i**2 = 0.
1, 126
Let g be (3/12)/(3/(-12)) + 4. Suppose -c = c + g*c. Factor c*q**4 + 3*q**2 + 3/2*q**5 - 6*q**3 + 9/2*q - 3.
3*(q - 1)**3*(q + 1)*(q + 2)/2
Let s(y) be the second derivative of 3*y**5/20 + 39*y**4 - 158*y**3 + 10257*y. Factor s(a).
3*a*(a - 2)*(a + 158)
Suppose 0 = -52*x + 1774 + 202. Suppose -x*f = -45*f + 21. Factor 0 - 1/5*t**2 + 2/5*t**f - 1/5*t.
t*(t - 1)*(2*t + 1)/5
Suppose 72*o - 82*o = 0. Let r(v) be the third derivative of o + 0*v**3 - 1/21*v**4 - 1/210*v**6 - 1/35*v**5 + 0*v - 4*v**2. Factor r(g).
-4*g*(g + 1)*(g + 2)/7
Let k be (-24)/(-9)*30/8. Suppose k*t - 16 = 6*t. Find f such that 400*f**2 + 3*f**3 + 16*f**t + 4*f**5 - 392*f**2 + 17*f**3 = 0.
-2, -1, 0
Let d(z) be the third derivative of -z**5/330 + 5*z**4/44 - 56*z**3/33 - 2*z**2 + 159*z. Find p, given that d(p) = 0.
7, 8
Let z = -231 + 276. Factor -z - 63*s - 43*s**2 + 18*s**3 - 89*s - 43*s + 37*s**3 - 52*s**2.
5*(s - 3)*(s + 1)*(11*s + 3)
Let t(l) be the third derivative of 0 - 5/18*l**3 + 5*l - 1/180*l**5 + 1/12*l**4 - l**2. Factor t(q).
-(q - 5)*(q - 1)/3
Let -6190*d**2 + 11745*d**2 + 35*d**4 - 550 - 413*d**3 - 1612*d**3 - 3015*d = 0. Calculate d.
-1/7, 1, 2, 55
Suppose m + 4*x = 24, -12*x = -4*m - 11*x + 11. Find w, given that -40*w**3 + 12*w**2 - 4*w**m - 7 - 3268*w + 87 + 3396*w = 0.
-10, -1, 2
Let i be 9315/2484*(-1)/(-5). Let l(x) be the first derivative of 27/2*x**2 + 0*x - i*x**4 + 41 - 8*x**3. Suppose l(z) = 0. What is z?
-9, 0, 1
Let t(k) be the first derivative of 1/8*k**4 + 13/2*k**3 + 361/2*k + 195 + 399/4*k**2. Factor t(u).
(u + 1)*(u + 19)**2/2
Let u(s) be the third derivative of -s**6/300 - s**5/30 - s**4/30 + 8*s**3/15 + 2966*s**2. Factor u(g).
-2*(g - 1)*(g + 2)*(g + 4)/5
Let h(d) = 13*d**3 + 216*d**2 + 134*d + 104. Let l be h(-16). Factor -28/3*m**3 + 92/3*m**2 + 0 - l*m.
-4*m*(m - 3)*(7*m - 2)/3
Let h(n) be the first derivative of -n**4/5 - 24*n**3/5 - 216*n**2/5 - 864*n/5 - 1249. Factor h(d).
-4*(d + 6)**3/5
Determine a so that -249/7*a**4 + 150/7*a**3 - 1272/7*a - 96/7 + 6*a**5 + 1020/7*a**2 = 0.
-2, -1/14, 2, 4
Let b(z) be the first derivative of -4/3*z**2 - 16/9*z**3 + 0*z - 2/15*z**5 + 84 - 5/6*z**4. Factor b(i).
-2*i*(i + 1)*(i + 2)**2/3
Suppose 4*t - 470 = 3*r - 422, -2*r + 5*t - 60 = 0. Factor 106/5*b - 2/5*b**2 + r.
-2*b*(b - 53)/5
Let t(b) = 8*b**2 - 233*b + 218. Let j(f) = 3*f**2 - 78*f + 73. Let c(k) = -7*j(k) + 2*t(k). Factor c(o).
-5*(o - 15)*(o - 1)
Suppose 2*i + 3*l = i - 9, -4*i = 5*l + 8. Let r be 19/((-2299)/(-4125)) + -21. Determine b so that -6*b**2 + 216/11 + r*b + 6/11*b**i = 0.
-1, 6
Let w be (-134)/(-8) - (4065 - 4061). Find i, given that -33/4*i**2 + 3/2*i**4 + 27/4 - 51/4*i**3 + w*i = 0.
-1, -1/2, 1, 9
Let u(p) be the second derivative of -5/6*p**3 + 1/120*p**6 + 0*p**4 + 34*p + 0 + 0*p**2 - 3/40*p**5. Let b(f) be the second derivative of u(f). Factor b(h).
3*h*(h - 3)
What is b in 0 + 1272112/3*b**2 - 13675204/3*b - 14792*b**3 - 4/3*b**5 + 688/3*b**4 = 0?
0, 43
Let y(z) = 47*z - 2865. Let f be y(61). Let q(n) be the first derivative of 5/3*n**3 + 405*n - 45*n**f - 19. Factor q(x).
5*(x - 9)**2
Determine j, given that -11*j**2 - 1/4*j**3 + 139/4*j - 47/2 = 0.
-47, 1, 2
Suppose -7*a - 6 = -13*a. Let f be (15/2)/a*(-37)/(-740). What is u in -3/4*u**2 - f*u**5 + 0 - 3/2*u**4 - 15/8*u**3 + 0*u = 0?
-2, -1, 0
Let i(p) be the second derivative of 0 - 1/4*p**2 - 7/24*p**4 - 2/3*p**3 + 34*p. What is c in i(c) = 0?
-1, -1/7
Let t(d) be the first derivative of -7 - 5/4*d**4 - 50/3*d**3 + 0*d - 45/2*d**2. Let t(n) = 0. What is n?
-9, -1, 0
Let n(w) be the first derivative of 2*w**3/15 - 1248*w**2/5 + 2494*w/5 - 3034. Factor n(q).
2*(q - 1247)*(q - 1)/5
Solve -1123*t**3 - 40368 + 10031*t - 737