-f**8/560 + f**6/40 - f**5/20 - 2*f**3/3 + 27*f + 1. Let k(c) be the second derivative of l(c). Factor k(h).
-3*h*(h - 1)**2*(h + 2)
Let y(c) be the first derivative of 6 + 0*c**4 + 1/12*c**3 - 5*c - 1/40*c**5 + 0*c**2. Let g(i) be the first derivative of y(i). Factor g(l).
-l*(l - 1)*(l + 1)/2
Let g(a) be the first derivative of -a**8/5040 + a**6/1080 - 20*a**3/3 - 20. Let y(i) be the third derivative of g(i). Factor y(o).
-o**2*(o - 1)*(o + 1)/3
Let g = -15241/5 - -3049. Factor -4/5 - 1/5*q**2 - g*q.
-(q + 2)**2/5
Factor -120/13*k - 1800/13 - 2/13*k**2.
-2*(k + 30)**2/13
Let t = -94 + 98. Suppose 0 = -x + 3*q - t + 3, -q + 7 = 3*x. Suppose 1/2 + 1/2*i**4 + 2*i**3 + 3*i**x + 2*i = 0. What is i?
-1
Let n be ((-18)/(-15)*1)/((-15)/(-25)). Factor -17*d + 2*d**n - 3*d**2 - 144 - 10*d + 3*d.
-(d + 12)**2
Let r(m) be the third derivative of 0*m**4 + 4/105*m**7 + 0*m + 1/15*m**6 - 5/24*m**8 - 10*m**2 + 0*m**5 + 0 + 0*m**3. Factor r(j).
-2*j**3*(5*j - 2)*(7*j + 2)
Let l(z) be the third derivative of -z**6/480 - 41*z**5/240 - 19*z**4/48 + 10*z**3/3 + 815*z**2. Determine p, given that l(p) = 0.
-40, -2, 1
Suppose 0 = -2*y + 5*y - 30. Let j = y - 8. Suppose -3 + 4 - u**j - 3 + 3 = 0. Calculate u.
-1, 1
Let q = 288/17 + -216/85. Let q*t - 12*t**2 - 16/5 + 14/5*t**3 = 0. Calculate t.
2/7, 2
Let w(q) be the first derivative of -2*q**5/25 + 6*q**4/5 - 32*q**3/5 + 64*q**2/5 + 433. Factor w(t).
-2*t*(t - 4)**3/5
Let y(l) be the third derivative of 0*l**3 + 1/40*l**6 + 0*l + 0 + 0*l**5 - 1/105*l**7 - 3*l**2 - 1/24*l**4. Factor y(k).
-k*(k - 1)**2*(2*k + 1)
Let i(q) be the first derivative of -q**3/6 + 3*q**2 + 70. Factor i(t).
-t*(t - 12)/2
Factor 812*j - 836*j + 6*j**2 + 3*j**3 + 0*j**2.
3*j*(j - 2)*(j + 4)
Let u(o) be the first derivative of 4*o**5/15 - o**4/12 - 28*o**3/9 - 17*o**2/6 + 2*o + 70. Solve u(c) = 0 for c.
-2, -1, 1/4, 3
Let t = -1/259 - -264/1295. Let g(r) be the first derivative of t*r**2 + 0*r - 1/10*r**4 + 0*r**3 + 5. Factor g(i).
-2*i*(i - 1)*(i + 1)/5
Let l(v) = -v**3 + 19*v**2 + 182*v. Let c be l(26). Find a such that 1/6*a + c - 1/3*a**2 + 1/6*a**3 = 0.
0, 1
Let j = -1755 + 1757. Factor 0 + 5/3*d**j + 1/3*d**4 - 4/3*d**3 - 2/3*d.
d*(d - 2)*(d - 1)**2/3
Let i(d) = 3*d**2. Let n(l) = 2*l + 31. Let z be n(-16). Let r be i(z). Determine q, given that 1/2 + 0*q**2 + 3/4*q - 1/4*q**r = 0.
-1, 2
Let x(y) be the third derivative of y**7/630 + y**6/180 - 2*y**5/45 - y**4/4 - y**3/2 - 5*y**2 + 82*y. Factor x(z).
(z - 3)*(z + 1)**2*(z + 3)/3
Let l(i) be the second derivative of -i**6/10 - 9*i**5/10 - 9*i**4/4 + 629*i. Factor l(y).
-3*y**2*(y + 3)**2
Let y(k) = -15*k**4 + 9*k**3 + 156*k**2 + 144*k + 24. Let u(h) = 15*h**4 - 8*h**3 - 157*h**2 - 142*h - 24. Let p(l) = -3*u(l) - 4*y(l). Let p(b) = 0. What is b?
-2, -1, -1/5, 4
Suppose -925*d - 973*d - 5*d**2 - 150 + 1983*d = 0. What is d?
2, 15
Let k(t) = t**2 - 6*t. Let n be k(6). Suppose 5 = 4*d + 3*h, -d + 4 = 5*h - 7*h. Find j such that 2/9 + n*j - 2/9*j**d = 0.
-1, 1
Suppose -10 = -9*u + 170. Let s = 20 - u. Factor 3/2*o**4 - 3/2*o**2 + 3*o**3 - 3*o + s.
3*o*(o - 1)*(o + 1)*(o + 2)/2
Suppose 0 = -5*j - 26 + 201. What is f in 692 - j*f**4 + 15*f**2 - 35*f**3 - 692 + 15*f**5 = 0?
-1, 0, 1/3, 3
Let d = 2639 + -2636. Find u, given that 0*u**4 + 0*u - 4/11*u**2 - 6/11*u**d + 0 + 2/11*u**5 = 0.
-1, 0, 2
Let j = 96 + -98. Let r be ((72/42)/j)/(5/(-7)). Factor 7/5*o - 3/5*o**2 + r.
-(o - 3)*(3*o + 2)/5
Suppose -4*t = -2*p - 377 + 373, -5*t - p = -19. Let r(g) be the second derivative of 0 - 1/54*g**4 - 1/9*g**2 - 2/27*g**t - 8*g. Factor r(l).
-2*(l + 1)**2/9
Let z be 64/(-64) - 1*-3. Let x(j) be the third derivative of -2/15*j**3 + 1/150*j**5 - 1/60*j**4 + 5*j**z + 0*j + 0. Find o such that x(o) = 0.
-1, 2
Let v = 82 + -62. Suppose 0 = u + 8*q - 4*q - 2, 0 = -4*u + 2*q + 8. Let -u*b + 6*b + 6*b + 5*b**2 - v + 5 = 0. Calculate b.
-3, 1
Let y(v) be the third derivative of v**5/90 - 3*v**4/4 + 26*v**3/9 - 28*v**2 + 2*v. Factor y(w).
2*(w - 26)*(w - 1)/3
Let l = -6186 + 6186. Factor 2/9*k**5 - 4/3*k**4 + 2*k**3 + l*k**2 + 0*k + 0.
2*k**3*(k - 3)**2/9
Let d be -6 + (0/(-4) - -6). Let i(g) be the first derivative of 9 - 12/5*g**5 + 9/4*g**4 + 5/6*g**6 + 0*g**2 - 2/3*g**3 + d*g. Factor i(m).
m**2*(m - 1)**2*(5*m - 2)
Let g(y) be the first derivative of y + 5. Let k(a) = 6*a**2 - 8*a - 12. Let r(n) = -n + 7. Let x be r(6). Let h(c) = x*k(c) + 4*g(c). Factor h(b).
2*(b - 2)*(3*b + 2)
Suppose 9 = -4*i + 25. Suppose 3*r + 6 = 4*b, -3*b + b = -5*r + i. Factor -z + 0*z**2 + 2 - r + z**2.
z*(z - 1)
Factor -89*z**2 - 99*z**3 + 26*z**4 + 69*z**2 + z**5 - 2*z**5 - 6*z**4 + 100*z.
-z*(z - 10)**2*(z - 1)*(z + 1)
Let o(g) = -8*g**2 + 10*g + 5. Let d(h) be the second derivative of 5*h**4/12 - 5*h**3/6 - 3*h**2/2 - 40*h. Let z(s) = -5*d(s) - 3*o(s). Factor z(k).
-k*(k + 5)
Let n(g) be the first derivative of 361*g**4/16 - 133*g**3/12 - 24*g**2 - 9*g + 41. Determine m, given that n(m) = 0.
-6/19, 1
Factor -95*o**4 + 17*o**3 + 92*o**4 - 35*o**3 + 21*o**2.
-3*o**2*(o - 1)*(o + 7)
Suppose 32*x + 8 = 34*x. Let -3*i - 23*i**5 - 2*i**5 - 2*i**5 + 59*i**3 - i - 24*i**x - 4*i**2 = 0. Calculate i.
-2, -2/9, 0, 1/3, 1
Let v(d) be the third derivative of d**7/245 - d**6/140 - 4*d**5/7 + 4*d**4 - 61*d**2 - 4*d. Factor v(o).
6*o*(o - 4)**2*(o + 7)/7
Let h(c) be the third derivative of -c**9/5040 - c**8/5040 + c**7/630 + c**5/6 - 8*c**2. Let m(g) be the third derivative of h(g). Factor m(q).
-4*q*(q + 1)*(3*q - 2)
Let b = -3 + -4. Let c be 6/(-2 - b/2). Solve c*w + 24 - 24 - 4*w**2 = 0 for w.
0, 1
Let c be (5796/(-342))/(-7) - (-2)/(-1). Suppose -6/19*d + 2/19*d**3 + c*d**2 - 36/19 = 0. What is d?
-3, 2
Suppose -7*c - 5*x - 44 = -43, c = -x - 1. What is i in -12/5 + 12/5*i - 3/5*i**c = 0?
2
Let c be (1 + -5)*439/(-6146). Solve 8/7*z**2 + 0 + 0*z - 8/7*z**3 + c*z**4 = 0.
0, 2
Let l(r) be the second derivative of 0*r**4 - 1/40*r**5 + 1/12*r**3 + 0 - 4*r - 1/120*r**6 + 1/8*r**2. Let l(a) = 0. Calculate a.
-1, 1
Let v(t) = -t. Let f(r) be the second derivative of -r**4/3 - 10*r**3/3 - 24*r**2 - 34*r. Let z(b) = f(b) + 8*v(b). Factor z(k).
-4*(k + 3)*(k + 4)
Let q(n) = 2*n**3 - 14*n**2 - 15*n - 5. Let k be q(8). Find t such that -176/5*t + 344/5*t**2 - 4*t**5 - 308/5*t**k + 32/5 + 128/5*t**4 = 0.
2/5, 1, 2
Let p = 10 + -7. Suppose -2*d - 6 = -4*r, p*r + 1 = 2*d + 4. Find f such that 0*f + 0 + 0*f**2 + 0*f**4 - 2/3*f**d + 2/3*f**5 = 0.
-1, 0, 1
Let u = 316 - 2210/7. Let k(b) be the first derivative of u*b - 2/21*b**3 - 4 + 0*b**2. Factor k(x).
-2*(x - 1)*(x + 1)/7
Factor 98/3*g - 6*g**3 + 2/3*g**4 + 20 + 6*g**2.
2*(g - 6)*(g - 5)*(g + 1)**2/3
Factor -11236/3 - 1/3*u**4 + 7420*u - 10813/3*u**2 - 70*u**3.
-(u - 1)**2*(u + 106)**2/3
Let u(w) be the second derivative of 0*w**2 + 2/3*w**3 - 1/6*w**4 + 0 - 19*w. Solve u(s) = 0 for s.
0, 2
Suppose -n + 5*l - 13 = 2*n, -13 = -2*n - l. Let h be n/(-6) - (-16)/6. Find o, given that 36*o + 24 + 2*o**2 + 16*o**h + 4*o**3 - 2*o**3 + o**3 = 0.
-2
Let g(v) be the third derivative of v**8/2520 + 2*v**7/525 + 7*v**6/450 + 8*v**5/225 + v**4/20 + 2*v**3/45 + 30*v**2 + 5. Find b, given that g(b) = 0.
-2, -1
Suppose 0 = -68*d - 14442 + 14578. Factor -12/5*x**d + 1/5*x**3 + 0 + 0*x.
x**2*(x - 12)/5
Let d(n) = 3*n**2 - 3. Let p(w) = w + 15. Let y be p(-6). Let k(m) = 7*m**2 - 7. Let b(v) = y*d(v) - 4*k(v). Factor b(c).
-(c - 1)*(c + 1)
Let o(p) be the third derivative of 3/20*p**4 + 9*p**2 - 1/2*p**3 - 1/100*p**5 + 0*p + 0. Factor o(d).
-3*(d - 5)*(d - 1)/5
Factor -4/3*f**2 - 2/3*f**3 + 12 + 6*f.
-2*(f - 3)*(f + 2)*(f + 3)/3
Suppose -4*n + 1643 - 677 = -2*x, -5*n + 1210 = -5*x. Let c = n + -2649/11. Determine a, given that -2/11*a**2 - 4/11*a - c = 0.
-1
Let n(u) = -3*u**2 - 126*u - 129. Let s(f) = 2*f**2 + f + 1. Let p(t) = -n(t) - 3*s(t). Solve p(x) = 0 for x.
-1, 42
Let l(x) be the second derivative of -x**6/80 - 7*x**5/60 - 17*x**4/48 - x**3/2 - 17*x**2/2 - 19*x. Let z(g) be the first derivative of l(g). Factor z(f).
-(f + 1)*(f + 3)*(3*f + 2)/2
Factor -1/2*k**4 + 0 + 66*k**3 + 0*k - 131/2*k**2.
-k**2*(k - 131)*(k - 1)/2
Let r(w) be the first derivative of w**7/315 + w**6/45 + w**5/30 - w**4/9 - 4*w**3/9 - 11*w**2 + 2. Let d(z) be the second derivative of r(z). Factor d(c).
2*(c - 1)*(c + 1)*(c + 2)**2/3
Suppose