rivative of -2*d**3/57 + 2*d/19 + 24. Factor f(p).
-2*(p - 1)*(p + 1)/19
Factor -42/11*m**2 - 30/11*m**3 - 18/11*m + 0 - 6/11*m**4.
-6*m*(m + 1)**2*(m + 3)/11
Let u(y) be the third derivative of y**7/2520 - y**6/360 + y**5/120 - y**4/12 - y**2. Let v(i) be the second derivative of u(i). Let v(a) = 0. Calculate a.
1
Let b(j) be the second derivative of j**4/18 + j**3/9 - 2*j**2/3 + 65*j. Factor b(o).
2*(o - 1)*(o + 2)/3
Let y(o) be the second derivative of -o**5/30 + o**4/12 + 2*o**3/3 + o**2/2 - o. Let u(c) be the first derivative of y(c). Factor u(h).
-2*(h - 2)*(h + 1)
Let w(b) be the first derivative of -b**7/630 + b**6/180 + b**5/60 - b**4/18 - 2*b**3/9 + b**2/2 + 3. Let y(m) be the second derivative of w(m). Factor y(a).
-(a - 2)**2*(a + 1)**2/3
Let b(z) be the second derivative of -z**4/6 - 2*z**3/3 - z**2 - 8*z. Factor b(i).
-2*(i + 1)**2
Let i(r) be the second derivative of r**6/15 + 3*r**5/20 - 5*r**4/6 - 2*r**3 + 4*r**2 - 11*r. Factor i(k).
(k - 2)*(k + 2)**2*(2*k - 1)
Let h(t) = t**2 - t + 1. Let f(c) = c**3 - 8*c**2 + 7*c - 7. Let o(y) = -3*f(y) - 21*h(y). Factor o(x).
-3*x**2*(x - 1)
Find j such that 8 - 6 + 4 + 3*j - 3*j**2 = 0.
-1, 2
Let n(p) be the first derivative of 3*p**4/32 + p**3/4 + 16. Factor n(r).
3*r**2*(r + 2)/8
Suppose -11*u + 218 = -10*u. What is p in 28*p**5 - 28*p**4 - 32*p + 160*p**4 + 48*p**2 + u*p**3 - 34*p**3 = 0?
-2, -1, 0, 2/7
Let j(u) be the first derivative of u**6/9 - 8*u**5/15 + u**4/2 + 3. Factor j(p).
2*p**3*(p - 3)*(p - 1)/3
Let d(b) be the third derivative of b**8/56 - 23*b**7/105 + 14*b**6/15 - 26*b**5/15 + 4*b**4/3 + 4*b**2 - 6. Suppose d(l) = 0. What is l?
0, 2/3, 1, 2, 4
Let m(o) = 0*o**2 + 13*o + 3*o**2 + 3 + 2*o. Let y(b) = b**2 + 4*b + 1. Let n(j) = -2*m(j) + 9*y(j). Suppose n(p) = 0. Calculate p.
-1
Let w(r) = -r**2 + 4*r - 7. Let p(k) = k**2 - 4*k + 7. Let v(n) = 4*p(n) + 3*w(n). Let y be v(3). Factor 4/7*b**3 + 2/7 - 4/7*b + 0*b**2 - 2/7*b**y.
-2*(b - 1)**3*(b + 1)/7
Let p(j) be the first derivative of j**4/2 + 4*j**3/3 - 3*j**2 - 27. Factor p(c).
2*c*(c - 1)*(c + 3)
Let g(q) = -32*q**3 + 17*q**2 + 32*q + 1. Let j(l) = 16*l**3 - 8*l**2 - 16*l. Let r(z) = 4*g(z) + 9*j(z). What is n in r(n) = 0?
-1, 1/4, 1
Let v(o) be the third derivative of 0*o**4 - 1/245*o**7 + 0 - 1/210*o**5 + 1/1176*o**8 + 1/140*o**6 - o**2 + 0*o**3 + 0*o. Let v(p) = 0. What is p?
0, 1
Let w(g) = 18*g + 22. Let r be w(-1). Find h, given that -2/7*h**3 + 0 + 2/7*h - 2/7*h**r + 2/7*h**2 = 0.
-1, 0, 1
Let u(t) be the second derivative of -t**4/102 - 2*t**3/51 - t**2/17 - 6*t. Factor u(p).
-2*(p + 1)**2/17
Let n(i) be the second derivative of -i**4/30 + 7*i**3/15 - 10*i + 2. Factor n(o).
-2*o*(o - 7)/5
Let r be -3 + 2 - 3*-1. Let d = r + -2. Determine z, given that 8/9*z**3 - 2/9*z**2 + 0 - 2/3*z**4 + d*z = 0.
0, 1/3, 1
Let c(w) be the first derivative of w**5/20 + w**4/4 + 5*w**3/12 + w**2/4 + 6. Factor c(u).
u*(u + 1)**2*(u + 2)/4
Let g = 4 - 2. Let l = 4 + 0. Let l*t**2 - 4*t + 2*t - g*t**2 = 0. Calculate t.
0, 1
Let h = 63/2 - 30. Suppose -1 - 1/2*j**2 + h*j = 0. What is j?
1, 2
Let h(d) be the third derivative of d**5/60 - d**4/12 + 27*d**2. Solve h(s) = 0 for s.
0, 2
Let h = 101 + -96. Find u, given that 14/3*u**5 + 0 + 2/3*u + 38/3*u**3 - 13*u**4 - h*u**2 = 0.
0, 2/7, 1/2, 1
Let r(i) be the first derivative of i**5/15 - i**3/9 + 3. Factor r(n).
n**2*(n - 1)*(n + 1)/3
Let l(r) be the second derivative of -1/3*r**2 + 1/9*r**3 - 2*r + 0 + 1/18*r**4 - 1/30*r**5. Factor l(s).
-2*(s - 1)**2*(s + 1)/3
Let t = 0 + 2. Factor 3*x - 2*x**3 + 2*x**3 + 3*x**2 + 3*x**3 - 9*x**t.
3*x*(x - 1)**2
Suppose 0 = -4*b + 8. Find n such that 0*n**3 - 2 + b + n - n**3 = 0.
-1, 0, 1
Let f(p) be the second derivative of -p**7/126 + p**5/60 + p - 42. Let f(i) = 0. What is i?
-1, 0, 1
Let i(s) = s**2 + s - 1. Let j(u) = -12*u**2 - 40*u - 56. Let o(z) = 8*i(z) + j(z). Find w, given that o(w) = 0.
-4
Factor -2/5*k**2 + 2/5 - 2/5*k + 2/5*k**3.
2*(k - 1)**2*(k + 1)/5
Let x(c) be the first derivative of c**4 + 8*c**3/3 + 2*c**2 + 6. Find m, given that x(m) = 0.
-1, 0
Suppose 4*u = 14 - 2. Let v be ((-1)/1 - 0) + 5. Let -2*l**v + 0 + 18/7*l**u - 4/7*l**2 + 0*l = 0. Calculate l.
0, 2/7, 1
Let b = 7 + -43. Let a be b/(-81)*(-3)/(-2). Factor x**2 + 0 - 1/3*x**3 - a*x.
-x*(x - 2)*(x - 1)/3
Suppose f - 2 = a - 3*a, 0 = f - 4*a + 4. Solve -1/2*o**4 + 0*o + 0*o**3 + f + 0*o**2 = 0.
0
Factor -5/4*i**2 + 5/4*i - 5/4*i**3 + 5/4*i**4 + 0.
5*i*(i - 1)**2*(i + 1)/4
Let j(f) be the first derivative of 2*f**6/3 + 8*f**5/5 + f**4 - 8. Suppose j(c) = 0. Calculate c.
-1, 0
Factor -18/7*v**2 - 4/7 - 2/7*v**4 - 10/7*v**3 - 2*v.
-2*(v + 1)**3*(v + 2)/7
Factor 3*o**2 - 7*o**2 - 2*o**3 + 3 + 0 + 1 + 2*o.
-2*(o - 1)*(o + 1)*(o + 2)
Let -21/2*y**4 + 3*y + 21/2*y**2 + 0 - 3*y**3 = 0. Calculate y.
-1, -2/7, 0, 1
Let c(v) be the third derivative of 7/180*v**6 + 0 - 1/210*v**7 + 1/6*v**3 - v**2 + 0*v - 4/45*v**5 + 1/36*v**4. Suppose c(d) = 0. What is d?
-1/3, 1, 3
Suppose -3*u + 14 + 10 = 0. Suppose 3*t + 5*s = -0*t - u, 4*s = -16. What is d in 2 + 3*d**2 - 7*d**3 - 2*d**4 + 7*d - d**4 - 2*d**t = 0?
-1, -2/5, 1
Let c be (-10)/(-4)*(-4)/(-75). Factor 2/15*m + 0*m**3 - c*m**5 + 0 + 4/15*m**2 - 4/15*m**4.
-2*m*(m - 1)*(m + 1)**3/15
Find j such that 4/3*j**3 + 28/3*j + 20/3*j**2 + 4 = 0.
-3, -1
Let n(a) be the second derivative of a**7/126 - 2*a**6/45 + a**5/12 - a**4/18 - 9*a. Factor n(i).
i**2*(i - 2)*(i - 1)**2/3
Let c(b) = 3*b**3 - 21*b**2 + b - 4. Let w be c(7). Suppose -4/5*t**w + 4/5*t + 2/5 + 0*t**2 - 2/5*t**4 = 0. Calculate t.
-1, 1
Let o = 51 + -49. Factor -1/2*m**o - 1/2 - m.
-(m + 1)**2/2
Let c = 4271777/14540 - -15/2908. Let u = 295 - c. Determine x, given that u*x**2 + 0 - 8/5*x**3 + 2/5*x = 0.
-1/4, 0, 1
Let j(x) be the third derivative of 0*x + 0*x**3 + 10*x**2 + 0 - 1/32*x**4 + 1/80*x**5. Suppose j(l) = 0. What is l?
0, 1
Factor -3/2*s + 1/2*s**2 - 2.
(s - 4)*(s + 1)/2
Let z(o) = o + 5. Let b be z(-6). Let d be (-105)/(-25) - b/(-5). Factor -l**d - 5*l**4 - 4*l**3 + 6*l**2 - 3*l + 7*l.
-2*l*(l - 1)*(l + 1)*(3*l + 2)
Let s(c) be the second derivative of c**7/84 + c**6/180 - 4*c**5/75 + c**4/15 - c**3/6 - c. Let h(l) be the second derivative of s(l). Factor h(t).
2*(t + 1)*(5*t - 2)**2/5
Let j(p) = p**2 + 4*p + 8. Let y(a) = -3*a - 9. Let i(g) = 6*j(g) + 5*y(g). Let i(z) = 0. What is z?
-1, -1/2
Let s(i) be the second derivative of -1/30*i**6 - 1/3*i**3 + 0*i**4 + 0 + 1/2*i**2 - 3*i + 1/10*i**5. Let s(m) = 0. Calculate m.
-1, 1
Let r(v) be the second derivative of -11/48*v**4 + 1/4*v**2 + 0 + 3/8*v**3 + 3*v. Factor r(h).
-(h - 1)*(11*h + 2)/4
Let a(p) be the third derivative of -p**6/30 - p**5 - 25*p**4/2 - 250*p**3/3 - 8*p**2. Factor a(n).
-4*(n + 5)**3
Factor -33*k**3 + 32 + 14*k**3 + 18*k**2 + 21*k**3 + 48*k.
2*(k + 1)*(k + 4)**2
Let w(k) be the third derivative of k**5/90 + k**4/18 + k**3/9 - 8*k**2. Solve w(y) = 0.
-1
Let n(d) be the second derivative of -d**5/15 + d**4/2 - 4*d**3/3 + 3*d**2/2 - 3*d. Let m(c) be the first derivative of n(c). Factor m(w).
-4*(w - 2)*(w - 1)
Suppose -2*k - 6 = -5*k. Find t such that -3*t**2 + t**3 + k*t**2 + 0*t**3 = 0.
0, 1
Let p be (((-16)/(-18))/(-2))/((-26)/39). Factor -2/3*v**2 - p - 4/3*v.
-2*(v + 1)**2/3
Let y(q) = q**2 - 6*q + 4. Let u be y(5). Let c(p) = p**2 + 1. Let o(d) = d + 6*d**2 + 4 - 7*d - d**3 + d. Let n(j) = u*o(j) + 2*c(j). Factor n(t).
(t - 2)*(t - 1)**2
Let y be (-6)/45*35/(-21). Let u(o) be the second derivative of 0 + 5/27*o**3 - 2*o + y*o**2 + 1/18*o**4. Factor u(p).
2*(p + 1)*(3*p + 2)/9
Let f(b) be the first derivative of -b**4/42 - 4*b**3/21 - 3*b**2/7 - 2*b + 3. Let t(m) be the first derivative of f(m). Suppose t(w) = 0. Calculate w.
-3, -1
Factor 3/4*y - 1/4 - 3/4*y**3 + 1/4*y**2.
-(y - 1)*(y + 1)*(3*y - 1)/4
Let h be (0 - 3/2) + (-2 - -4). Let d be (0 + 1)/((-2)/(-9)). Find b, given that -h*b**2 - d + 3*b = 0.
3
Let v(c) be the first derivative of 0*c**3 - 1/8*c**4 + 0*c + 1/40*c**5 - 1 - 1/2*c**2. Let r(w) be the second derivative of v(w). Suppose r(h) = 0. What is h?
0, 2
Let f(i) be the first derivative of i**6/3 - 4*i**5/5 + i**4/2 - 1. Determine m, given that f(m) = 0.
0, 1
Let s be (5/(-20))/((-5)/108). Let l(v) be the first derivative of s*v + 48/5*v**3 + 3 + 16/5*v**4 + 54/5*v**2. Factor l(o