Calculate b.
-2, 1
Let z = 166 + -1824/11. Factor -12/11*v**2 + 8/11*v**3 - 2/11*v**4 - z + 8/11*v.
-2*(v - 1)**4/11
Let j = -4 + 6. Suppose 5*a - 19 = 11. Factor 6 - a + j*k**4 + 2*k**3.
2*k**3*(k + 1)
Let a(v) be the second derivative of v**4/20 - 20*v. Factor a(h).
3*h**2/5
Let m(z) be the third derivative of 1/75*z**5 - 1/15*z**4 - 8/15*z**3 + 0 - 5*z**2 + 0*z + 1/300*z**6. What is k in m(k) = 0?
-2, 2
Suppose -2*d + 6 = 2. Suppose x - d*x + 4 = 0. Determine o so that 0*o + 0 + 14/11*o**x + 0*o**2 - 4/11*o**3 = 0.
0, 2/7
Let d(i) = -i**3 + 4*i**2 - 4*i + 4. Let w(f) = f**2 - f + 1. Let y = -2 - -3. Let o(a) = y*d(a) - 4*w(a). Find r such that o(r) = 0.
0
Let g(j) be the second derivative of j**6/360 + j**5/40 + j**3/3 + 5*j. Let x(v) be the second derivative of g(v). Suppose x(s) = 0. Calculate s.
-3, 0
Let k(d) = -6*d**3 + 41*d**2 + 6*d + 7. Let c be k(7). Solve 1/3*a**2 - a + c = 0.
0, 3
Let o(a) be the third derivative of 0*a + 0*a**3 + 0 - 1/30*a**6 + 2*a**2 - 1/30*a**5 + 1/6*a**4 + 1/105*a**7. Suppose o(i) = 0. What is i?
-1, 0, 1, 2
Factor 10/7*w**2 - 18/7 + 6/7*w + 2/7*w**3.
2*(w - 1)*(w + 3)**2/7
Let w(p) = 2*p - 4. Let s be w(4). Let t = 8 - s. Factor 0 + 0*k - 2/5*k**t - 4/5*k**3 - 2/5*k**2.
-2*k**2*(k + 1)**2/5
Let h(d) = d**2 + 3*d - 2. Let n(r) = -4*r**2 - 9*r + 6. Let s(g) = -7*h(g) - 2*n(g). Factor s(u).
(u - 2)*(u - 1)
Let n(t) be the third derivative of -t**7/1260 + t**6/180 - t**5/60 + t**4/24 - 4*t**2. Let a(i) be the second derivative of n(i). Factor a(w).
-2*(w - 1)**2
Suppose 18*j - 44 - 28 = 0. Factor -3/4*f**j + 0*f - 5/4*f**5 + 0 + 1/2*f**3 + 0*f**2.
-f**3*(f + 1)*(5*f - 2)/4
Let u(q) be the first derivative of q**4/24 - q**3/12 - q**2/2 - 3*q - 1. Let o(n) be the first derivative of u(n). Find w such that o(w) = 0.
-1, 2
Let v(d) = d**3 - d - 1. Let c(r) = -9*r**3 + 4*r**2 + 15*r - 9. Let n(u) = 2*c(u) + 14*v(u). Find j such that n(j) = 0.
-2, 2
Let u(m) be the second derivative of 7*m**6/540 + m**5/54 - m**4/54 + 3*m**2/2 - 7*m. Let h(k) be the first derivative of u(k). Solve h(t) = 0.
-1, 0, 2/7
Let r(s) be the third derivative of 1/20*s**5 - 5*s**2 + 0 - 1/2*s**3 + 0*s**4 + 0*s. What is k in r(k) = 0?
-1, 1
Let 10*x**2 + 0*x**2 - 5*x**2 + 15*x = 0. What is x?
-3, 0
Factor 7/5*n**3 - 7/5*n - 2/5*n**2 + 2/5.
(n - 1)*(n + 1)*(7*n - 2)/5
Let p(g) = -5*g**2 - 7*g + 5. Let q(s) = -2*s**2 - 3*s + 2. Let w = -7 - -1. Let h(n) = w*p(n) + 14*q(n). Factor h(b).
2*(b - 1)*(b + 1)
Let g(b) be the third derivative of b**6/720 - b**5/120 + b**4/48 - b**3/2 - 2*b**2. Let q(u) be the first derivative of g(u). Factor q(w).
(w - 1)**2/2
Let x(q) be the first derivative of -7*q**6/120 + 4*q**5/15 - q**4/6 - q**2/2 - 1. Let f(c) be the second derivative of x(c). Let f(r) = 0. What is r?
0, 2/7, 2
Let b(q) = q**2 - 11*q + 3. Let i(s) = s**2. Let l(r) = -2*b(r) + 10*i(r). Solve l(z) = 0.
-3, 1/4
Let w(r) be the third derivative of r**8/20160 - r**7/5040 - r**6/360 - r**5/20 + 4*r**2. Let u(v) be the third derivative of w(v). What is f in u(f) = 0?
-1, 2
Let n(o) = -2*o**2 + 16*o + 32. Let a(j) = j**2 - 5*j - 11. Let g be (-44)/6 - 4/6. Let t(b) = g*a(b) - 3*n(b). Factor t(y).
-2*(y + 2)**2
Let b(u) = -2*u**2 - 3*u. Let f(g) = 3*g**2 + 4*g. Let d(r) = 4*b(r) + 3*f(r). Solve d(n) = 0.
0
Let r be (4 - 2) + (4 + 0 - 2). Factor -z**3 + z - 1/2*z**2 + 1/2*z**r + 0.
z*(z - 2)*(z - 1)*(z + 1)/2
Let h = -245/176 + 16/11. Let p(d) be the first derivative of 0*d - h*d**4 + 1/8*d**2 - 1 - 1/12*d**3 + 1/20*d**5. Factor p(a).
a*(a - 1)**2*(a + 1)/4
Let y be 6/42 - 125/(-105). Factor -2/3 - 2/3*k**2 + y*k.
-2*(k - 1)**2/3
Let i(b) be the second derivative of -1/9*b**3 - 1/3*b**2 + 1/30*b**5 + 0 + 3*b + 1/18*b**4. Factor i(t).
2*(t - 1)*(t + 1)**2/3
Suppose 20 = -k + 6*k. Let r(g) be the third derivative of 0*g**3 + 0*g + 0 - 3*g**2 + 0*g**k + 0*g**5 + 0*g**6 + 1/105*g**7. Find m such that r(m) = 0.
0
Factor 4/3*m**4 + 4/3*m**2 + 2*m**3 + 0 + 1/3*m + 1/3*m**5.
m*(m + 1)**4/3
Suppose 5*g - 10 = -5*l, -3*l - 4*g + 1 = -3. Let y(q) be the second derivative of -1/12*q**l + 0*q**2 + 0 - 1/6*q**3 + 2*q. Find r such that y(r) = 0.
-1, 0
Let g(y) = -y + 2. Let w be g(-3). Suppose w*q = 13 + 12. Factor 0 + 0*r**3 + 0*r**2 - 1/4*r**4 + 0*r + 1/4*r**q.
r**4*(r - 1)/4
Let f(g) be the third derivative of 0*g + 0 + 1/12*g**4 + 1/60*g**5 - 2*g**2 + 0*g**3. Let f(b) = 0. What is b?
-2, 0
Let h = -33/61 + 5267/10187. Let p = h - -378/1837. What is t in -p*t**5 - 8/11 - 32/11*t - 14/11*t**4 - 38/11*t**3 - 50/11*t**2 = 0?
-2, -1
Let j be 0 + (8 - 3 - 3). Let 0 + 2/9*f**j - 2/9*f + 2/9*f**3 - 2/9*f**4 = 0. What is f?
-1, 0, 1
Let g(w) be the third derivative of 27*w**8/28 + 6*w**7/7 - 97*w**6/15 + 76*w**5/15 - 4*w**4/3 + 20*w**2. Find o, given that g(o) = 0.
-2, 0, 2/9, 1
Let c(r) be the first derivative of -r**8/3360 - 4*r**3/3 - 3. Let t(g) be the third derivative of c(g). Factor t(f).
-f**4/2
Let w = 5/8 + -3/56. Suppose 0 - w*b + 2/7*b**2 = 0. What is b?
0, 2
Let 1/4*n**2 + 5/2*n + 9/4 = 0. Calculate n.
-9, -1
Let k = 17 + -12. Suppose 0 = -q - 2*s - 4, -k*q + 7 - 3 = -2*s. Factor 0 + q*o - 1/2*o**2.
-o**2/2
Let g(x) = 4*x**5 + 5*x**4 + 4*x**3 + 7*x**2 + 2*x - 7. Let n(c) = c**5 + c**4 + c**2 + c - 1. Let m(q) = -4*g(q) + 20*n(q). Let m(o) = 0. What is o?
-1, 1, 2
Let o(h) = 2*h**4 + 5*h**3 - 3*h**2 - 5*h + 4. Let b(f) = f**3 - f**2 - 3*f**4 - 2*f**4 + 6*f**4 - f + 1. Let q(g) = -3*b(g) + o(g). Let q(d) = 0. Calculate d.
-1, 1
Let c(w) be the second derivative of -w**5/30 + w**4/5 - 4*w**3/15 + 5*w**2/2 + 3*w. Let g(u) be the first derivative of c(u). Suppose g(d) = 0. Calculate d.
2/5, 2
Let r(m) be the second derivative of m**6/30 - m**5/10 - m**4/4 + 4*m**3/3 - 2*m**2 + 19*m. Factor r(j).
(j - 2)*(j - 1)**2*(j + 2)
Let n(f) be the first derivative of f**2 - 6 + 0*f**3 - 3/8*f**4 + 0*f + 1/10*f**5. Suppose n(q) = 0. What is q?
-1, 0, 2
Let n(r) be the second derivative of -r**5/15 - 5*r**4/9 - 14*r**3/9 - 2*r**2 - 4*r - 1. Factor n(o).
-4*(o + 1)**2*(o + 3)/3
Let d(s) be the first derivative of s**6/8 - 3*s**5/2 + 15*s**4/2 - 20*s**3 + 30*s**2 - 24*s - 1. Factor d(n).
3*(n - 2)**5/4
Let s(t) be the second derivative of -t**4/6 - 2*t**3/3 - t**2 + 8*t. Factor s(h).
-2*(h + 1)**2
Let s(a) be the second derivative of 1/9*a**4 + 1/30*a**5 + 0*a**2 + 0 - a + 0*a**3. Find x such that s(x) = 0.
-2, 0
Let y(w) be the third derivative of w**7/10080 - w**6/1440 + w**5/480 + w**4/8 + 2*w**2. Let a(f) be the second derivative of y(f). Factor a(x).
(x - 1)**2/4
Let r(v) = 6*v**3 - v**2 + 3*v. Let p(c) = 7*c**3 + 2*c. Let h(s) = -3*p(s) + 2*r(s). Determine l, given that h(l) = 0.
-2/9, 0
Let a(p) be the second derivative of -p**4/48 + 5*p**3/24 + 16*p. Factor a(n).
-n*(n - 5)/4
Let s be ((-3)/40)/((-81)/12). Let n(v) be the second derivative of v + 1/6*v**2 - 1/18*v**4 + 0*v**5 + s*v**6 + 0*v**3 + 0. Suppose n(m) = 0. What is m?
-1, 1
Let s(u) be the third derivative of 1/120*u**5 + 1/720*u**6 + 1/36*u**3 + 0 - 3*u**2 + 0*u + 1/48*u**4. Solve s(q) = 0 for q.
-1
Let w be 3/(-21) + (-44)/(-14). Find j, given that -j**2 + 6*j**2 - 2*j**2 + 6*j - w*j = 0.
-1, 0
Let o(n) = -10*n**2 - 12*n - 2. Let r(i) = 7*i**2 + 8*i + 1. Let q(s) = 5*o(s) + 8*r(s). Factor q(z).
2*(z + 1)*(3*z - 1)
Let x be 5/4*(-260)/(-5). Suppose 2*j = x - 5. Suppose -1 + 12*k**4 + 1 + 16*k - j*k**3 + 7*k**2 - 4 - k**3 = 0. What is k?
-2/3, 1/4, 1, 2
Let d(v) be the second derivative of 1/6*v**4 + 2/7*v**2 + 3/7*v**3 + 2*v + 0. Suppose d(r) = 0. What is r?
-1, -2/7
Suppose 0 = -0*s - 5*s + 20. Let v(x) be the first derivative of 0*x**2 + 1/4*x**s - 2 - 1/5*x**5 + 0*x + 0*x**3. Solve v(k) = 0.
0, 1
Let l be 40/18 + -2 - (-48)/27. Let n(p) be the first derivative of 1 + 0*p - 1/7*p**l - 1/14*p**4 - 4/21*p**3. Solve n(j) = 0.
-1, 0
Let t(w) be the first derivative of 7 + 0*w + 0*w**2 - 2/11*w**5 - 4/33*w**3 - 7/22*w**4. Factor t(c).
-2*c**2*(c + 1)*(5*c + 2)/11
Let x(j) be the second derivative of -j**7/42 + j**6/15 + j**5/20 - j**4/6 + 4*j. Suppose x(b) = 0. Calculate b.
-1, 0, 1, 2
Let u(x) be the second derivative of x**9/6048 - x**8/1680 - x**7/1680 + x**6/360 - x**3/6 + x. Let l(n) be the second derivative of u(n). Factor l(v).
v**2*(v - 2)*(v - 1)*(v + 1)/2
Let k(o) be the second derivative of -6*o - 1/10