 be the third derivative of y(c). Factor f(q).
-2*(q + 1)**2/5
Let h(z) = 2*z + 14. Let t be h(-6). Let m(k) be the first derivative of 0*k + 3 + 0*k**t + 1/6*k**6 + 0*k**3 + 2/5*k**5 + 0*k**4. Factor m(b).
b**4*(b + 2)
Let a(q) be the third derivative of q**6/120 + q**5/20 + q**4/12 + 48*q**2. Factor a(b).
b*(b + 1)*(b + 2)
Let j = -393 + 395. Suppose -2/3 + 3*t - 7/3*t**j = 0. Calculate t.
2/7, 1
Let n(j) = -j**3 + 7*j**2 - 9. Let y be (-4)/(4/1)*2. Let u(h) = h**2 - 1. Let c(w) = y*n(w) + 18*u(w). Find o such that c(o) = 0.
-2, 0
Factor -15 + 10*a + 3*a**2 + 10*a**2 - 20*a**2 + 12*a**2.
5*(a - 1)*(a + 3)
Suppose 0*m + m = 0. Suppose -2*h = -m*h. Suppose 3/4*v**3 + 1/4*v - 3/4*v**2 + h - 1/4*v**4 = 0. What is v?
0, 1
Let a(v) = v**2 + 4*v - 2. Let x be a(-4). Let b be x/(-3)*(-39)/(-2). Find p, given that -5*p**3 - 8 + 9*p + b*p**3 + 4*p**3 + 15*p - 26*p**2 - 2*p**4 = 0.
1, 2
Let o(w) be the third derivative of w**7/6720 + w**4/6 - w**2. Let r(h) be the second derivative of o(h). Suppose r(l) = 0. Calculate l.
0
Let k(d) = d**3 + 2*d**2 - 4*d - 3. Let x be k(-2). Suppose j + m - 4 = x*m, 4*j + 2*m - 16 = 0. Factor -j*c**2 + 2 + 2*c**2 + 0*c**2.
-2*(c - 1)*(c + 1)
Suppose 0 = -5*p - 2*u + 1, -p = -2*u - 6 + 1. Find j such that 6 - 4 + p - 3*j**2 = 0.
-1, 1
Suppose 0 = 4*x + 31*x - 70. Let 0 - 2/3*u - 2/3*u**x = 0. What is u?
-1, 0
Let r = -1/68 - -37/204. Let j(g) be the third derivative of -r*g**3 + 1/10*g**6 - 1/12*g**5 + 0*g + 0 + 2*g**2 - 1/4*g**4. Solve j(c) = 0 for c.
-1/3, -1/4, 1
Suppose -2*r = -2 - 2. Let 0 + 2/3*i + 1/3*i**r = 0. What is i?
-2, 0
Let z(f) be the second derivative of f**8/1680 + f**7/210 + f**6/90 + 7*f**3/6 - 5*f. Let h(m) be the second derivative of z(m). Factor h(p).
p**2*(p + 2)**2
Let b be 28/21 + 6/(-9). Determine s so that 2/3*s**4 + 8/3*s + 8/3*s**3 + 4*s**2 + b = 0.
-1
Let f(r) be the first derivative of -r**7/630 - r**6/90 + 2*r**4/9 + 8*r**3/9 + 5*r**2/2 - 6. Let p(q) be the second derivative of f(q). Factor p(a).
-(a - 2)*(a + 2)**3/3
Let z(m) = m + 3. Let i be z(0). Suppose -r = -c - 5, 6 - 16 = 4*c - 2*r. Let 0*d - 2/9*d**2 + c + 2/3*d**4 + 4/9*d**i = 0. Calculate d.
-1, 0, 1/3
Let r = -4/549 + 7730/6039. Let 6/11*l**4 - r*l**3 + 8/11*l + 0 + 0*l**2 = 0. What is l?
-2/3, 0, 1, 2
Suppose 0 = -4*d + 5*f - 32, -2*d - 3*f + 8 - 2 = 0. Let l(k) = -k. Let z be l(d). Factor 4 - s**2 + 0*s**2 - z.
-(s - 1)*(s + 1)
Let w(d) be the first derivative of -25/18*d**3 - 1/3*d - 7/12*d**4 - 13/12*d**2 + 2. Factor w(r).
-(r + 1)*(2*r + 1)*(7*r + 2)/6
Suppose -7*a + 3*a**2 - 2*a**2 + 4*a**2 - 3*a - 15 = 0. Calculate a.
-1, 3
Let q(x) = x**2 + 3*x + 2. Let a be q(-6). Let f(z) = z + 1. Let i be f(1). Factor -2*v**4 - a*v**2 + 20*v**i - v + 3*v**3.
-v*(v - 1)**2*(2*v + 1)
Determine k, given that 8 + 0*k**2 + 4*k + k**2 - 5*k**2 = 0.
-1, 2
Let m be ((-68)/(-16) + -4)/((-1)/(-2)). Solve -m*x**3 - 7/4*x**2 + 7/4*x**4 + 0 + 1/2*x = 0 for x.
-1, 0, 2/7, 1
Suppose -4*a + t = -3, -4*a + 2*t = -0*a - 6. Factor a + 2/11*l + 4/11*l**2 + 2/11*l**3.
2*l*(l + 1)**2/11
Let t be (6/(-4))/(6/(-44)). Let r = t - 9. Factor 2/3 + n + 1/3*n**r.
(n + 1)*(n + 2)/3
Let p(s) be the second derivative of 2/27*s**3 + 0 + 1/54*s**4 + 1/9*s**2 + 2*s. Suppose p(d) = 0. What is d?
-1
Factor -2/3*v**4 - 2*v**2 + 0*v + 0 - 8/3*v**3.
-2*v**2*(v + 1)*(v + 3)/3
Let j(g) be the second derivative of 2*g - 1/40*g**5 - 1/2*g**2 + 7/16*g**4 - 7/120*g**6 - 1/3*g**3 + 0. Find z, given that j(z) = 0.
-2, -2/7, 1
Let n(t) be the second derivative of t**5/270 + t**4/108 + 2*t**2 - 2*t. Let h(c) be the first derivative of n(c). Let h(o) = 0. Calculate o.
-1, 0
Factor y**2 + 55*y - 27*y - 26*y + 1.
(y + 1)**2
Let o(v) = -v + 4. Let q be o(4). Factor -2/3*y + q - 4/3*y**2 - 2/3*y**3.
-2*y*(y + 1)**2/3
Let u(x) be the third derivative of x**6/30 - 2*x**5/15 - x**4/6 + 4*x**3/3 - 42*x**2. What is n in u(n) = 0?
-1, 1, 2
Let k(v) be the first derivative of v**5/90 + v**4/18 + 2*v**2 - 4. Let b(w) be the second derivative of k(w). Determine q, given that b(q) = 0.
-2, 0
Let j(s) be the first derivative of -8*s - 1 - s**4 - 10*s**2 - 16/3*s**3. Factor j(b).
-4*(b + 1)**2*(b + 2)
Let y(o) be the second derivative of -o**7/280 - o**6/80 - o**5/80 - o**2 - 4*o. Let v(a) be the first derivative of y(a). Determine z so that v(z) = 0.
-1, 0
Let m be (-36)/(-40) + (-8)/16. Suppose 2/5*s**3 + 2/5*s**4 - m*s**2 + 0 - 2/5*s = 0. Calculate s.
-1, 0, 1
Let i(s) be the third derivative of -8*s**2 + 1/90*s**5 + 0*s**3 + 0 - 1/315*s**7 - 1/180*s**6 + 1/504*s**8 + 0*s + 0*s**4. Factor i(k).
2*k**2*(k - 1)**2*(k + 1)/3
Factor -1/3*g**2 - 5/6*g + 2/3*g**4 + 1/6*g**5 + 2/3*g**3 - 1/3.
(g - 1)*(g + 1)**3*(g + 2)/6
Factor 0 + 0*b - 1/2*b**4 + 7*b**3 - 49/2*b**2.
-b**2*(b - 7)**2/2
Let c(y) be the first derivative of -y**8/10080 + y**6/2160 - y**3 - 2. Let d(u) be the third derivative of c(u). Factor d(j).
-j**2*(j - 1)*(j + 1)/6
Let x(p) be the first derivative of -9*p**4/8 + 7*p**3/2 - 6*p + 3. Let x(z) = 0. What is z?
-2/3, 1, 2
Let t = 17 - 26. Let x(p) = -p - 5. Let d be x(t). Factor -8*f**2 - f**3 + 4*f**2 - f**d + 4*f**2.
-f**3*(f + 1)
Let l(s) be the second derivative of s**10/75600 - s**9/9450 + 4*s**7/1575 - 2*s**6/225 + s**4/6 - 5*s. Let d(t) be the third derivative of l(t). Factor d(j).
2*j*(j - 2)**3*(j + 2)/5
Let n(t) = -4*t**3 + 9*t**3 - 4*t**3 - 2 - 5*t + 3*t**2. Let c be n(-4). Let -3*o**2 + 4*o**c - 3*o**5 - 3*o**4 + 2*o**4 + 3*o**3 = 0. Calculate o.
-1, -1/3, 0, 1
Suppose 1 + 3 = 2*s. Let -2/5*x**5 + 0*x**4 + 0*x + 0 + 0*x**s + 2/5*x**3 = 0. Calculate x.
-1, 0, 1
Factor 2*j**2 - 8/3 - 4/3*j**3 + 8/9*j + 2/9*j**4.
2*(j - 3)*(j - 2)**2*(j + 1)/9
Solve -2/3*u - 2/9*u**3 - 2/3*u**2 - 2/9 = 0 for u.
-1
Determine u so that 20*u**4 + 3*u**5 + 6*u**2 + 9*u**4 + 15*u**3 - 17*u**4 = 0.
-2, -1, 0
Solve 2/9*o**4 - 2/9*o**2 - 4/9*o**3 + 4/9*o + 0 = 0.
-1, 0, 1, 2
Suppose g = -4, -4*i + 0*g = 3*g + 8. Suppose -2*z + 21 = 8*q - 3*q, z = 3*q - 6. Factor -i - b + z - b**2 - 2.
-b*(b + 1)
Let z(i) be the second derivative of -5*i**4/4 - 7*i**3/2 - 3*i**2 - 2*i. What is t in z(t) = 0?
-1, -2/5
Let h be 34/14 + (-105)/245. Factor h*t + 0*t**2 - 2/3*t**3 - 4/3.
-2*(t - 1)**2*(t + 2)/3
Let r(p) be the second derivative of p**4/12 - 2*p**3 + 18*p**2 - 10*p. Factor r(l).
(l - 6)**2
Let 1/6*m**3 + 5/2*m + 7/6 + 3/2*m**2 = 0. Calculate m.
-7, -1
Let f(y) = -y**3 + 6*y**2 + 7*y + 8. Let x be f(7). Factor -6*k + 7*k**2 - 26*k**2 - x*k**3 - 2*k**2 - k**3.
-3*k*(k + 2)*(3*k + 1)
Let r(m) be the third derivative of -m**8/168 + 2*m**7/945 + m**6/30 - 2*m**5/135 - m**4/12 + 2*m**3/27 + 2*m**2. Suppose r(h) = 0. What is h?
-1, 2/9, 1
Find g, given that -12/11*g + 18/11 + 2/11*g**2 = 0.
3
Let u be (-8)/((2 - 3)*1 + -1). Let g(i) be the second derivative of 1/20*i**5 + 0*i**3 - 1/30*i**6 + 1/12*i**u + 0 - 1/42*i**7 - 3*i + 0*i**2. Factor g(q).
-q**2*(q - 1)*(q + 1)**2
Let o be 1*(1 - (-2 - -2)). Let l(g) = -g**3 - g**2 - 1. Let v(q) = -2*q**2 - 1. Let m(r) = o*v(r) - l(r). Let m(s) = 0. What is s?
0, 1
Let j(w) be the second derivative of -1/12*w**3 + 1/40*w**5 + 0*w**4 + 0*w**2 + 0 - 3*w. Find l such that j(l) = 0.
-1, 0, 1
Let x(s) = -s**3 - 5*s**2 - 2*s - 7. Let t be x(-5). Let q = 3 + 0. Find c such that -2*c**2 + 2 - q*c**3 - t*c**3 + 0 + 6*c = 0.
-1, -1/3, 1
Suppose 3*w - 20 = -w. Let 6*a - a**3 + 15*a**2 - w*a**3 - 3*a**3 = 0. Calculate a.
-1/3, 0, 2
Let s(i) be the first derivative of -i**5 + 5*i**4/2 - 5*i**3/3 - 21. Let s(j) = 0. Calculate j.
0, 1
Let m = 13 - 8. Let q(k) be the third derivative of 1/210*k**m + 0*k - k**2 - 1/42*k**4 + 0 + 1/21*k**3. Find g, given that q(g) = 0.
1
Let t be (-20)/(-16) - (-3)/4. Suppose t*m - 4 = 2. Find o, given that -3*o**2 - m*o**2 + 3*o - o = 0.
0, 1/3
Factor 8/3 - 4*u + 2*u**2 - 1/3*u**3.
-(u - 2)**3/3
Let q(w) be the third derivative of w**2 + 0 + 7/330*w**5 - 1/165*w**7 + 0*w + 1/220*w**6 - 5/1848*w**8 + 1/66*w**4 + 0*w**3. Determine k so that q(k) = 0.
-1, -2/5, 0, 1
Let o be 102/28 - 15/105. Let h = -3 + o. Factor -1/2*f**2 - h*f + 0.
-f*(f + 1)/2
Factor 1/7*m**3 - 1/7*m**2 - 1/7*m + 0 + 1/7*m**4.
m*(m - 1)*(m + 1)**2/7
Suppose -3*r + 3 = -3. Let k(d) be the second derivative of 0 + d + 1/54*d**4 - 1/45*d**5 + 0*d**3 + 1/135*d**6 + 0*d**r. Factor k(n).
2*n**