) be the second derivative of q(h). Factor b(y).
-3*y**3*(y + 2)/2
Let r be (-5*(-30)/(-250))/((-6)/20). Factor 2/3*l**3 - 2/3*l + 2/3*l**r + 0 - 2/3*l**4.
-2*l*(l - 1)**2*(l + 1)/3
Let y(p) be the third derivative of -p**7/490 - p**6/140 + p**5/140 + p**4/28 + 4*p**2. Solve y(g) = 0 for g.
-2, -1, 0, 1
Let y(u) = u - 6*u + 9*u**2 + u - 8*u**3 - 3*u**4. Let g(z) = -9*z**4 - 23*z**3 + 26*z**2 - 11*z. Let c(k) = -6*g(k) + 17*y(k). Solve c(d) = 0.
-1, -2/3, 0, 1
Factor 0 + 2/5*t - 2/5*t**2.
-2*t*(t - 1)/5
Let f(c) be the first derivative of -c**4/20 - 2*c**3/5 - 6*c**2/5 - 8*c/5 + 1. Solve f(z) = 0.
-2
Suppose -2*g = 0, 5*u + g - 40 = 3*g. What is n in u*n + 2 + 10*n**2 - 215*n**4 + 217*n**4 + 2*n**2 + 8*n**3 = 0?
-1
Let v(m) be the third derivative of m**5/60 + m**4/6 - m**3/6 - 4*m**2. Let h(i) = -i**2 - 1. Let p(d) = 2*h(d) + v(d). Determine g so that p(g) = 0.
1, 3
Let s(g) be the third derivative of g**9/52920 + g**8/70560 - g**5/30 + 2*g**2. Let w(k) be the third derivative of s(k). Solve w(m) = 0 for m.
-1/4, 0
Let v(y) be the second derivative of -7/24*y**4 + 5/12*y**3 + 0 - y + 1/2*y**2. Suppose v(m) = 0. Calculate m.
-2/7, 1
Let o = -25 + 57. Suppose 3*w = w - 3*v - 4, -4*v = -4*w + o. What is h in -2*h**w - 2*h**2 + 5*h**2 - h**2 = 0?
-1, 0, 1
Let z = 173/819 - -1/91. Factor z + 2/9*m**4 + 2/9*m + 2/9*m**5 - 4/9*m**3 - 4/9*m**2.
2*(m - 1)**2*(m + 1)**3/9
Let w(c) be the first derivative of 2*c**6/3 - 8*c**5/5 + c**4 - 3. Factor w(s).
4*s**3*(s - 1)**2
Let d = 4 - 10/3. Let s(r) be the first derivative of 2*r**2 + 2 + d*r**3 + 2*r. Let s(c) = 0. Calculate c.
-1
Let f(p) be the second derivative of -p**7/10080 + p**5/480 - p**4/12 + 2*p. Let t(d) be the third derivative of f(d). Find c, given that t(c) = 0.
-1, 1
Let v be (-1*3)/((-15)/(-10)). Let g be v/8 + (-3)/(-12). Solve -2*h**4 + 10/7*h**3 - 2/7*h**2 + g + 6/7*h**5 + 0*h = 0.
0, 1/3, 1
Let j(m) = -9*m**3 + m**2 + 10*m + 7. Suppose 3 = -g + 2*y + 11, -3*g + y = -9. Let k(w) = 3*w**3 - 3*w - 2. Let o(l) = g*j(l) + 7*k(l). Factor o(n).
n*(n + 1)*(3*n - 1)
Let c(g) be the second derivative of -2*g**7/105 - g**6/20 - g**5/30 + g**2 + 3*g. Let u(d) be the first derivative of c(d). Solve u(i) = 0 for i.
-1, -1/2, 0
Let c(p) = -p**2 - 3*p - 1. Let b be c(-2). Let d(y) be the first derivative of -y**2 + 1/6*y**3 + 2*y - b. Find o such that d(o) = 0.
2
Let m(p) be the first derivative of -3*p**4/7 - 16*p**3/21 + 8*p**2/7 - 5. Factor m(b).
-4*b*(b + 2)*(3*b - 2)/7
Let n(f) be the first derivative of 0*f + 0*f**3 + f**2 - 1/60*f**4 - 1/150*f**5 + 1. Let m(b) be the second derivative of n(b). Factor m(u).
-2*u*(u + 1)/5
Let i(r) be the second derivative of -15*r**4/4 + 25*r**3/6 + 10*r**2 - r + 21. Let i(z) = 0. Calculate z.
-4/9, 1
Let w(k) be the second derivative of -5*k**4/12 + 10*k**3 - 90*k**2 - 7*k. Determine o, given that w(o) = 0.
6
Suppose 5 = 2*s + 1. Let t = -1239/5 - -249. Determine z so that 0 - 2/5*z**4 - 2/5*z - 6/5*z**3 - t*z**s = 0.
-1, 0
Suppose 5*k + 2*n - 77 = 6*n, -2*k + 2*n = -32. Let j(l) = -3*l**3 + 6. Let g(o) = -6*o**3 + 13. Let f(c) = k*j(c) - 6*g(c). Factor f(i).
-3*i**3
Let z(c) be the third derivative of c**8/504 + c**7/105 - c**6/45 - 8*c**5/45 + 16*c**3/9 + 16*c**2. Factor z(h).
2*(h - 2)*(h - 1)*(h + 2)**3/3
Let c(z) be the first derivative of -z**4/20 - 4*z**3/15 - z**2/2 - 2*z/5 + 5. Solve c(i) = 0.
-2, -1
Solve -1/5 - 1/5*v**2 - 2/5*v = 0 for v.
-1
Let g be 227/(-14) + 12/8. Let p = g - -15. Factor 2/7*h**5 - p*h**3 + 0*h - 2/7*h**2 + 0 + 2/7*h**4.
2*h**2*(h - 1)*(h + 1)**2/7
Let w(h) be the third derivative of -1/784*h**8 - 3/280*h**6 + 0*h**3 + h**2 - 3/490*h**7 + 0*h**4 + 0*h - 1/140*h**5 + 0. Solve w(i) = 0 for i.
-1, 0
Let j be (-1)/(-6)*2 - (-7)/(-21). Let z(h) be the third derivative of h**3 + 3*h**2 + 1/4*h**4 - 1/8*h**5 + 0*h + j - 3/80*h**6. Factor z(d).
-3*(d - 1)*(d + 2)*(3*d + 2)/2
Suppose 5*u + f - 12 = 0, u + 3*f - 5*f + 2 = 0. Determine c, given that -7*c + 0 + 3*c - u*c**2 - 2 + 0 = 0.
-1
Let s(a) = a**2 - 13*a + 11. Let k(n) = n - 1. Let i(u) = 22*k(u) + 2*s(u). Determine t so that i(t) = 0.
0, 2
Let h be -2 + 8 + 1/(-1). Suppose -5*l - x = -18, -7*l + 3*l + h*x - 3 = 0. Factor 2/5 - 2/5*v**l - 2/5*v**2 + 2/5*v.
-2*(v - 1)*(v + 1)**2/5
Suppose 0 + 3/2*p + 3/4*p**2 = 0. What is p?
-2, 0
Let f = -1205/3 - -405. Let q(m) be the first derivative of 4/3*m**6 + f*m**3 - 2*m**5 - 3/2*m**4 - m**2 + 0*m + 2. Let q(j) = 0. Calculate j.
-1, 0, 1/4, 1
Suppose -14 - 1 = 5*d + 5*g, -5*g - 23 = d. Let z be 3 + 58/6 - d. Suppose -16/3*q**3 + 32/3*q - 2*q**5 - z - 26/3*q**4 + 16*q**2 = 0. Calculate q.
-2, 2/3, 1
Let l(a) be the second derivative of -a**5/70 - a**4/42 + 11*a. Factor l(i).
-2*i**2*(i + 1)/7
Solve 0 + 4/9*b**2 - 2/9*b - 2/9*b**3 = 0.
0, 1
Let y(l) be the first derivative of -3*l**4/16 + l**3/4 - 7. Let y(r) = 0. What is r?
0, 1
Suppose 0 + 1/4*k**2 + 1/2*k = 0. Calculate k.
-2, 0
Suppose 8/7*s**3 - 2/7 - 4/7*s - 4/7*s**5 + 4/7*s**2 - 2/7*s**4 = 0. What is s?
-1, -1/2, 1
Factor -4/3 - 2/3*g**3 + 0*g**2 + 2*g.
-2*(g - 1)**2*(g + 2)/3
Let i(s) be the third derivative of s**7/1680 - s**6/480 + s**4/96 - s**3/48 - 6*s**2. Factor i(c).
(c - 1)**3*(c + 1)/8
Find v, given that -1/4*v**3 - 3/4*v**2 - 3/4*v - 1/4 = 0.
-1
Let n(y) be the third derivative of -y**5/24 + 5*y**4/8 - 15*y**3/4 - 7*y**2. Let n(v) = 0. Calculate v.
3
Let p(j) be the third derivative of j**8/480 - 11*j**7/2520 + j**6/360 - j**4/6 + 2*j**2. Let z(a) be the second derivative of p(a). Factor z(l).
l*(2*l - 1)*(7*l - 2)
Let f(x) be the third derivative of x**7/945 - x**6/270 + x**5/270 - 3*x**2. Factor f(q).
2*q**2*(q - 1)**2/9
Let d be 3 + 1 + 1 + -4. Let n be (d/10)/((-15)/(-30)). Factor 1/5*i**4 + 0 + n*i**3 + 0*i**2 + 0*i.
i**3*(i + 1)/5
Let d be (8/(-10))/(1/(-5)). Let s = -12 + 15. Factor 2/3*a**s + 2/3*a**d + 0 + 0*a - 4/3*a**2.
2*a**2*(a - 1)*(a + 2)/3
Let c(o) = -o + 22. Let n be c(22). Factor 0*v**2 + n + 4/7*v - 4/7*v**3.
-4*v*(v - 1)*(v + 1)/7
Let b = 7 - 4. Let m be (b/(-2))/(3/(-8)). Factor 1/4*x**5 + 0*x**2 + 0*x + 1/2*x**m + 1/4*x**3 + 0.
x**3*(x + 1)**2/4
Let k(m) be the second derivative of 2/5*m**5 + 0*m**2 - 4*m + 0*m**3 + 0 + 2/5*m**6 + 0*m**4 + 2/21*m**7. Find w, given that k(w) = 0.
-2, -1, 0
Let p(f) be the second derivative of f**5/120 - f**4/36 + f**3/36 - 15*f. Suppose p(r) = 0. Calculate r.
0, 1
Suppose -13*w = -12*w - 4. Solve -c + w*c + 2 + 5*c - 4*c**2 - 6 = 0 for c.
1
Let j(s) = -s**2 + 9*s + 2. Let o be j(9). Solve -v - 5*v + o*v**2 + v**2 = 0.
0, 2
Let w(m) be the second derivative of -m**4/48 - 5*m**3/24 - 3*m**2/4 + 29*m. Find o, given that w(o) = 0.
-3, -2
Let t(r) = -3*r**3 - 21*r**2 - 145*r - 343. Let p(x) = -16*x**3 - 105*x**2 - 724*x - 1715. Let i(g) = -6*p(g) + 33*t(g). Let i(w) = 0. Calculate w.
-7
Suppose 11 = -5*r - 49. Let o = -12 - r. Determine v, given that -2/5*v**4 + 0*v**2 - 2/5*v**3 + 0 + o*v = 0.
-1, 0
Let i(u) = 11*u**2 - 10*u + 21. Let n(c) = 5*c**2 - 5*c + 10. Let d(t) = -4*i(t) + 9*n(t). Find z such that d(z) = 0.
2, 3
Let p(u) be the first derivative of 3*u**5/20 + 3*u**4/16 - u**3/4 - 3*u**2/8 - 10. Solve p(n) = 0.
-1, 0, 1
Let p(d) be the first derivative of 4*d**5/5 + 11*d**4/4 + 5*d**3/3 - d**2 + 6. What is f in p(f) = 0?
-2, -1, 0, 1/4
Let p(o) be the second derivative of -o**4/6 + o**2 - 9*o. Factor p(i).
-2*(i - 1)*(i + 1)
Let n(o) = -o + 13. Let k be n(10). Factor -4*b**3 + 3*b**3 + 0*b**k.
-b**3
Let n be 272/238 + (-4)/(-14). Factor 2/7*m**4 + 16/7*m**2 + 0 - 8/7*m - n*m**3.
2*m*(m - 2)**2*(m - 1)/7
Let m(i) be the second derivative of i**9/3780 - i**8/6720 - i**7/630 + i**6/720 - i**4/4 - 3*i. Let a(h) be the third derivative of m(h). Factor a(x).
x*(x - 1)*(x + 1)*(4*x - 1)
Factor 0*d**2 + 2/3*d**3 - 2/3*d + 0.
2*d*(d - 1)*(d + 1)/3
Let v(u) be the third derivative of 4/9*u**3 + 2*u**2 + 1/30*u**5 + 0 + 0*u - 1/40*u**6 + 5/18*u**4. Factor v(a).
-(a - 2)*(3*a + 2)**2/3
Factor 7*c - 4*c**4 + 4*c**2 + 4*c - 15*c + 4*c**3.
-4*c*(c - 1)**2*(c + 1)
Suppose 2*g - 4*m - 20 = g, -16 = 4*m. Let q be 3*g/6*2. Factor 1/2*d**5 + 1/2*d + 2*d**q + 0 + 2*d**2 + 3*d**3.
d*(d + 1)**4/2
Let d(g) = -g**3 - 7*g**2 + 4. Let h be d(-7). Let t(v) be the second derivative of 0 + 1/15*v**3 + v + 1/30*v**h + 0*v**2. Factor t(i).
2*i*(i 