rivative of v**6/180 + v**5/30 + 7*v**2/2 + 6. Let k(b) be the second derivative of r(b). Factor k(z).
2*z**2*(z + 3)/3
Factor -6/17*z + 8/17 - 2/17*z**2.
-2*(z - 1)*(z + 4)/17
Let g(a) = -a**2 - 48. Let u be g(0). Let x = -143/3 - u. What is d in -d - x - 1/3*d**3 - d**2 = 0?
-1
Suppose -8/11*m**2 + 4/11 + 4/11*m**4 + 6/11*m**3 - 6/11*m = 0. Calculate m.
-2, -1, 1/2, 1
Let k(d) be the third derivative of d**7/2520 + d**6/480 - d**5/360 - d**4/24 - d**3/9 - 19*d**2. Factor k(m).
(m - 2)*(m + 1)*(m + 2)**2/12
Let l(w) = 9*w**2 - 13*w. Let f(y) = -10*y**2 + 14*y. Let i(v) = -5*f(v) - 6*l(v). Factor i(x).
-4*x*(x - 2)
Let n be 1/(-1) + 24/15. Factor -n*i**3 + 0*i + 0*i**2 + 0.
-3*i**3/5
Let g(w) be the third derivative of w**6/900 - w**5/300 - w**3/6 + 3*w**2. Let p(v) be the first derivative of g(v). Factor p(i).
2*i*(i - 1)/5
Let a = 2392/5 + -478. Let -8/15 - 16/15*f - a*f**2 = 0. Calculate f.
-2, -2/3
Let t(s) be the first derivative of -s**4/4 + s**3 + s**2/2 - 3*s - 38. Suppose t(j) = 0. Calculate j.
-1, 1, 3
Suppose 0 = 2*c - i - 2, -2*i - 2 = -c - c. Suppose c = -z + 3. Solve q**4 + z*q**4 - 5*q**4 = 0 for q.
0
Let v(q) = -10*q**4 - 4*q**3 + 6*q**2 - 4*q - 4. Let b(t) = 9*t**4 + 4*t**3 - 5*t**2 + 3*t + 3. Let j(z) = 4*b(z) + 3*v(z). Suppose j(c) = 0. What is c?
-1, 0, 1/3
Let m(b) = -3*b - 1. Let l be m(-1). Let -3*u**5 + 4*u + 3*u**5 + 1 + u**4 + 2*u**5 - 2*u**2 - l*u - 4*u**3 = 0. Calculate u.
-1, -1/2, 1
Let t = 12 + 4. Find o, given that -4*o**3 - t*o + 4 + 8*o - 4*o**4 + 12*o**3 = 0.
-1, 1
Let l(d) = -d**2 - 1. Let o(y) = -2*y**2 + 9*y. Let a(b) = 10*l(b) + 5*o(b). Factor a(s).
-5*(s - 2)*(4*s - 1)
Let k(r) = -9*r**3 + 21*r**2 - 19*r. Let y(x) = 4*x**3 - 10*x**2 + 9*x. Let a(b) = 3*k(b) + 7*y(b). Factor a(z).
z*(z - 6)*(z - 1)
Factor 8*m + 24*m**2 + 12*m - 45*m - 32*m + 3*m**3 + 30.
3*(m - 1)**2*(m + 10)
Let q(a) be the first derivative of 4*a - 2 + 6*a**2 + 1/4*a**4 + 5/3*a**3. Let v(s) = -s**3 - 5*s**2 - 11*s - 4. Let f(o) = -3*q(o) - 4*v(o). Factor f(p).
(p + 1)*(p + 2)**2
Suppose 4*h - 16 = 2*u, 3*u = 3*h - 0*u - 12. Let f(t) be the second derivative of -2*t + 0 - 3/40*t**5 - 1/6*t**3 - 5/24*t**h + 0*t**2. Factor f(s).
-s*(s + 1)*(3*s + 2)/2
Let k(f) be the second derivative of f**5/100 - f**3/30 + 7*f. Find r such that k(r) = 0.
-1, 0, 1
Let c(l) be the third derivative of l**6/60 - l**5/10 + l**4/4 - l**3/3 + 7*l**2. Factor c(z).
2*(z - 1)**3
Let a(g) be the second derivative of 0*g**2 - 1/6*g**3 + 0*g**4 - 1/540*g**6 + g + 1/180*g**5 + 0. Let w(h) be the second derivative of a(h). Factor w(i).
-2*i*(i - 1)/3
Let l = 3 - -1. Suppose 5*m - 28 = -l*x, 5*x - m = 3*m - 6. Determine z, given that -1/2*z**x + 0*z + 0 = 0.
0
Let c(r) = -r**4 + r - 1. Let l(b) = -7*b**4 - 4*b**3 + 2*b**2 + 18*b - 15. Let t(q) = 30*c(q) - 5*l(q). Let t(y) = 0. What is y?
-3, 1
Let d be 5/10 - 2/4. Let a(m) be the second derivative of 0 - m - 7/20*m**5 + 0*m**3 - 1/6*m**4 + 1/15*m**6 + 1/6*m**7 + d*m**2. Factor a(n).
n**2*(n - 1)*(n + 1)*(7*n + 2)
Let h(s) be the first derivative of s**5/80 + s**4/32 - 2*s**2 - 4. Let m(x) be the second derivative of h(x). Factor m(p).
3*p*(p + 1)/4
Let t(z) be the third derivative of z**7/140 + z**6/20 + z**5/20 - z**4/4 - 3*z**3/4 - 25*z**2. Let t(h) = 0. What is h?
-3, -1, 1
Suppose -2*c - h + 16 = -5*h, 0 = 3*c - 5*h - 20. Let a = c + 5. Factor a - 6*b - 1 + b**2 + 2*b.
(b - 2)**2
Let w(n) be the third derivative of -n**8/112 - 4*n**7/105 - n**6/120 + 2*n**5/15 + n**4/6 + 52*n**2. Suppose w(s) = 0. What is s?
-2, -1, -2/3, 0, 1
Suppose 0*l - 2*g - 2 = -5*l, 5*l - 1 = g. Let u(a) be the second derivative of a + 5/6*a**4 + 2/3*a**3 + 0*a**2 + l - 7/10*a**5. Factor u(f).
-2*f*(f - 1)*(7*f + 2)
Let g(r) be the first derivative of r**9/21168 + r**8/11760 - r**7/5880 - r**6/2520 + 2*r**3/3 - 3. Let s(n) be the third derivative of g(n). Factor s(u).
u**2*(u - 1)*(u + 1)**2/7
Let s be (10 + -1)*2/3. Suppose 3*l - s = -0. Determine w so that -1 + w - w**l + 0*w**3 - w**3 + 2*w**2 = 0.
-1, 1
Let s be (15/(-30))/(2/(-12)). Factor 0 + 1/3*y**s - 2/3*y**2 + 1/3*y.
y*(y - 1)**2/3
Let o(a) be the first derivative of -8*a**3 + 0*a - 5 - 15/4*a**4 - 6*a**2 - 3/5*a**5. What is l in o(l) = 0?
-2, -1, 0
Let a(n) be the third derivative of 0*n - 1/24*n**6 - 1/24*n**4 + 1/15*n**5 + 1/105*n**7 - 9*n**2 + 0*n**3 + 0. Factor a(r).
r*(r - 1)**2*(2*r - 1)
Let y = -98 - -101. Factor -2/3*j**y + 18 - 18*j + 6*j**2.
-2*(j - 3)**3/3
Suppose 2*l = -2*l + 4*w, -5*w - 20 = 0. Let f be l/(-6)*(-9 - -10). Suppose 0 + r**3 - 1/3*r - f*r**2 = 0. Calculate r.
-1/3, 0, 1
Let j(u) = 4*u**2 + 2*u - 2. Let r(y) = 9*y**2 + 4*y - 3. Let g be (8/6)/(10/15). Suppose g*s - 5 = 3*s. Let i(m) = s*j(m) + 2*r(m). Factor i(p).
-2*(p - 1)*(p + 2)
Let v = 31/150 + -1/25. Let i(z) be the third derivative of 0*z + 0 - 3*z**2 - 1/120*z**6 + 1/24*z**4 + 1/60*z**5 - v*z**3. Factor i(d).
-(d - 1)**2*(d + 1)
Let a(m) be the first derivative of -m**6/9 + 14*m**5/15 - 8*m**4/3 + 16*m**3/9 + 16*m**2/3 - 32*m/3 - 4. Factor a(s).
-2*(s - 2)**4*(s + 1)/3
Let b(u) be the first derivative of u**3/9 - u/3 - 12. Factor b(y).
(y - 1)*(y + 1)/3
Let b(y) = -y**2 + y. Let d(t) = 6*t**2 - 6*t. Let w(z) = 4*b(z) + d(z). Factor w(h).
2*h*(h - 1)
Let b be -2 - -6 - (-2 + 4). Let x be 0*(-2 - (b - 3)). Factor -1/4*g**4 + 1/4*g + x - 3/4*g**2 + 3/4*g**3.
-g*(g - 1)**3/4
Let c(s) = -s**2 - 6*s - 3. Let d be c(-5). Factor 5*l + 0 - d - 2*l**2 - l.
-2*(l - 1)**2
Find t such that 4/3*t**5 + 0 + 0*t + 8/9*t**4 - 8/9*t**2 - 4/3*t**3 = 0.
-1, -2/3, 0, 1
Let j = 146/15 - 7151/735. Let z(r) be the third derivative of j*r**7 + 2/105*r**6 + 0*r**3 + 3*r**2 + 1/30*r**5 + 0*r + 0 + 1/42*r**4. Solve z(i) = 0.
-1, -2/3, 0
Let i be -2*3/6 + -1. Let w be 15/18 + i/6. Factor 1/2*h**4 + 0 - w*h**3 - 1/2*h**2 + 1/2*h.
h*(h - 1)**2*(h + 1)/2
Let 1 - s + 1/4*s**2 = 0. Calculate s.
2
Let k(z) be the first derivative of -z**4/4 + 8*z**3/9 - z**2/2 - 2*z/3 - 12. Factor k(m).
-(m - 2)*(m - 1)*(3*m + 1)/3
Factor 7/2*q + q**2 + 2 - 1/2*q**3.
-(q - 4)*(q + 1)**2/2
Let q = 3568/765 - -2/765. Factor q*f - 4/3 + 4/3*f**3 - 2/3*f**5 - 16/3*f**2 + 4/3*f**4.
-2*(f - 1)**4*(f + 2)/3
Let d be -6*(4 - 37/9). Factor 0 + g**2 - d*g.
g*(3*g - 2)/3
Let f(a) = -2*a**2 - 2*a + 4. Suppose 2*d - 4*d + 2 = 0. Let s(p) = d + 9*p - 2*p - 8*p. Let u(t) = f(t) - 4*s(t). Determine n so that u(n) = 0.
0, 1
Find z such that 3/5*z - 2/5 - 1/5*z**2 = 0.
1, 2
Let f(y) be the first derivative of 2*y**5/5 + y**4/12 - 2*y**3 - 5*y**2/2 - 2*y/3 + 21. Determine z, given that f(z) = 0.
-1, -1/6, 2
Let r(d) be the second derivative of 9*d**5/5 - 4*d**4 + 13*d**3/6 - d**2/2 - 2*d. Solve r(q) = 0 for q.
1/6, 1
Let v(i) be the first derivative of -2*i**3/3 + 6*i**2 + 14*i - 29. Let v(r) = 0. Calculate r.
-1, 7
Let s(x) = x**5 - x**4 + x**2 + x - 1. Let h(m) = -23*m**5 + 11*m**4 + 28*m**3 - 9*m**2 - 15*m + 3. Let f(k) = -2*h(k) - 10*s(k). Suppose f(y) = 0. What is y?
-1, -1/3, 1
Let d(u) = 2*u + 66. Let s be d(-32). Factor 6/5*g - 3/5*g**s - 3*g**4 + 0 - 24/5*g**3.
-3*g*(g + 1)**2*(5*g - 2)/5
Let j(a) be the second derivative of -a**5/60 - a**4/48 + 3*a**2 - 4*a. Let u(p) be the first derivative of j(p). Factor u(m).
-m*(2*m + 1)/2
Let o be 203/300 - (-10)/(-15). Let p(u) be the second derivative of 0*u**3 + 0*u**6 + 1/210*u**7 + 0*u**4 - 2*u + 0*u**2 + 0 - o*u**5. Factor p(m).
m**3*(m - 1)*(m + 1)/5
Factor 6*d**3 - 3*d**2 + 3*d**2 + 8*d**2 + 4*d - 2*d**3.
4*d*(d + 1)**2
Let b(u) = 14*u**2 + 2*u - 12. Let m(x) = -4*x. Let c be m(3). Let g(j) be the first derivative of -j**3/3 + j + 3. Let h(i) = c*g(i) - b(i). Factor h(d).
-2*d*(d + 1)
Let p be 2/((-2)/(-3)) - 21. Let k = 21 + p. Factor 0 + 2/3*n**k + 4/3*n**2 + 2/3*n.
2*n*(n + 1)**2/3
Suppose 0 = 9*t - 10*t + 3. Determine n, given that 3*n - 6*n**t + 3*n**5 - 23*n**4 + 23*n**4 = 0.
-1, 0, 1
Let a(p) be the first derivative of -4*p**2 + p**4 + 2/3*p**6 - 4*p**3 + 12/5*p**5 + 0*p - 7. Solve a(t) = 0.
-2, -1, 0, 1
Let j(p) be the third derivative of p**9/60480 + p**5/60 - 6*p**2. Let w(c) be the third derivative of j(c). Factor w(h).
h**3
Let v(u) be the second derivative of -u**7/21 - 13*u**6/60 - 3*u**5/8 - 7*u**4/24 - u**3/12 + 32*u. Factor v(a).
-a*(a + 1)**3*(4*a + 1)/2
Let o = 115/4 - 789/28. Suppose -2*z