17*y(k). What is the second derivative of t(v) wrt v?
-108*v**2
Suppose -33*x + 35*x = 0. Let l(b) be the second derivative of 0*b**3 + 2*b - 1/10*b**5 - 1/2*b**2 + 0*b**4 + x. Differentiate l(h) with respect to h.
-6*h**2
Let a(t) be the second derivative of t**4/6 - 25*t**2/2 + 17*t. Differentiate a(x) with respect to x.
4*x
Let f(m) = -m + 2. Let k be f(2). Suppose l - 2 = -3*z, 5*z - 2*l + k*l = 18. What is the first derivative of 3*o + 3 + 0 + 3 - z wrt o?
3
Suppose -2*t + 0*t = -4. Find the second derivative of 0 - 6*d + d**t + 3*d + 0 wrt d.
2
Let m(w) = -w - 1. Let f(l) be the first derivative of -l**3 + 13*l**2/2 + 6*l + 3. Let u(t) = f(t) + 6*m(t). Find the second derivative of u(h) wrt h.
-6
Let q(i) be the second derivative of 0*i**3 + 7/2*i**2 + 7*i + 3/4*i**4 + 0. Differentiate q(y) wrt y.
18*y
Let z = -3 - -5. Suppose -5 = -2*h - 3. Differentiate -3*m + 0*m + 3*m - h + z*m**4 with respect to m.
8*m**3
Let z(a) be the first derivative of a**3/3 - 3. Let p(n) = 12*n**2 + 2*n. Let d(o) = p(o) - 8*z(o). Find the second derivative of d(v) wrt v.
8
Let o(i) = 88*i**3 + 37*i**2. Let t(h) = -29*h**3 - 12*h**2. Let n(b) = -2*o(b) - 7*t(b). Find the third derivative of n(s) wrt s.
162
Let c(t) be the first derivative of 3*t**5/20 + t**2 + 2*t + 3. Let q(r) be the first derivative of c(r). Differentiate q(w) wrt w.
9*w**2
Let w(j) = -j**3 + 4*j**2 + 6*j - 3. Suppose d - 3 = 2. Let y be w(d). What is the third derivative of a**2 + 0*a**6 + 0*a**2 - y*a**6 wrt a?
-240*a**3
Let d(a) = 4*a**2 - 5*a + 4. Let x = 12 - 8. Let r(w) = -12*w**2 + 15*w - 11. Let c(f) = x*r(f) + 11*d(f). What is the second derivative of c(v) wrt v?
-8
Let w(c) be the first derivative of 5*c**4/2 - 2*c - 3. Differentiate w(g) wrt g.
30*g**2
Suppose 3*m + 0*m = 9. Suppose -m*x = 6 + 6, 0 = -3*c - 3*x. What is the second derivative of w**c + w**4 + 4*w - 4*w**4 - w wrt w?
-24*w**2
Let v = -12 - -30. Let i be ((-6)/v)/((-1)/18). What is the third derivative of 0*u**2 + u**2 + 4*u**3 - i*u**2 - 2*u**3 wrt u?
12
Let o(c) be the second derivative of c**9/168 - 3*c**5/20 - 5*c**2/2 - 5*c. Let x(b) be the first derivative of o(b). Find the third derivative of x(n) wrt n.
360*n**3
Suppose 0 = -3*a + a + 4. Suppose p + 2 = -p + 2*q, 0 = a*q - 6. What is the second derivative of p*r**2 + r - 2*r**2 + 2*r**4 wrt r?
24*r**2
Let g(x) be the third derivative of -7*x**5/30 - 7*x**4/12 + 13*x**2. Find the second derivative of g(p) wrt p.
-28
Let h(w) be the first derivative of -7*w**4/2 + 29*w - 15. What is the derivative of h(c) wrt c?
-42*c**2
Let p(x) be the second derivative of -x**5/40 + x**4/6 - x**3/6 + 5*x. Let u(b) be the second derivative of p(b). What is the derivative of u(i) wrt i?
-3
What is the second derivative of -9*z + 5*z - 3*z**2 + 6*z**2 - 27*z wrt z?
6
Suppose -2*u - 10 = -4*o, 2*o - u = -2*u - 1. What is the derivative of 0 - k - o - k wrt k?
-2
What is the first derivative of -57 - 18*x**2 + 27 + 20 wrt x?
-36*x
What is the third derivative of -6*y**4 - 4*y**6 - 4*y**2 + 3*y**4 + 3*y**4 wrt y?
-480*y**3
Let h be 3*10*1/6. What is the second derivative of -2 + 2 - b**h - b wrt b?
-20*b**3
Suppose 0 = -14*j + 7*j. Let l(u) be the first derivative of j*u - 1 + 0*u**3 - 1/4*u**4 + u**2. What is the second derivative of l(o) wrt o?
-6*o
What is the first derivative of 0 + 12*c**3 - 26*c**3 - 15 wrt c?
-42*c**2
Let t = -115/6 - -233/12. Let s(m) be the second derivative of -m + 0*m**2 - 3/20*m**5 + 0*m**3 + 0 + t*m**4. Find the third derivative of s(d) wrt d.
-18
Suppose -w = -2, w - 1 = 2*f - 9. What is the second derivative of -16*i**5 + 7*i**f + 6*i + 16*i**5 wrt i?
140*i**3
Let t(y) be the second derivative of 0*y**3 + 3*y - 1/10*y**5 - 1/4*y**4 + 0 + 0*y**2. Find the third derivative of t(b) wrt b.
-12
Let y(w) be the first derivative of -3/2*w**2 - 1/2*w**6 + 2 + 0*w**4 + 0*w + 0*w**3 + 0*w**5. Find the second derivative of y(n) wrt n.
-60*n**3
Suppose 0 = -p + 4*p - 12. What is the third derivative of -p*n**2 + 0*n**5 - 3*n**5 - n**5 + 0*n**2 wrt n?
-240*n**2
Suppose y + y + 2 = 0. Let a(c) = 5*c - 6. Let f(j) = -j + 1. Let b(v) = y*a(v) - 4*f(v). What is the first derivative of b(m) wrt m?
-1
Find the third derivative of -12*v**2 - 1557 - 14*v**3 + 1557 wrt v.
-84
Suppose -3*x + 12 = -x. Suppose 20 = 5*y, -4*s + 2*y - x = -18. Find the second derivative of c**s - c + 3*c - 3*c**5 wrt c.
-40*c**3
Let n be 5/(3 - (-11)/(-4)). Suppose -2*k + 6*k = n. Differentiate -k - l + 3 + 1 with respect to l.
-1
Let f be (8/(-10))/((-1)/5). Let u = -21 + 25. Find the first derivative of -u - z**4 + 3*z**f + 3 wrt z.
8*z**3
Differentiate 18*k**2 - 17*k**2 - 8*k**2 + 10 with respect to k.
-14*k
Let r(i) be the third derivative of -2*i**2 + 0 + 5/336*i**8 + 0*i**3 + 0*i**5 + 0*i**7 - 5/24*i**4 + 0*i**6 + 0*i. Find the second derivative of r(n) wrt n.
100*n**3
Let i(m) = -2*m**3 - 4*m**2 - 7. Let r(j) = 6 - 13 - 11*j**2 - 13 - 5*j**3. Let n(l) = 11*i(l) - 4*r(l). What is the derivative of n(u) wrt u?
-6*u**2
Find the third derivative of 3*c**6 - 2*c**6 + 3*c**6 - 4*c**2 - c**2 wrt c.
480*c**3
Let b(r) = -r**3 - 8*r**2 + 8*r - 7. Let c be b(-9). Let y(o) be the first derivative of -4*o + 1 - o**2 + o + c*o. What is the derivative of y(q) wrt q?
-2
Let c(i) = -i**2 - i. Let h be c(-2). Let f be (-2)/(h*(-2)/(-10)). What is the second derivative of 6*s - 3*s - f*s - 3*s**3 wrt s?
-18*s
Let q(k) = -4*k + 2. Let v(u) = -1. Let p(b) = q(b) - 5*v(b). Differentiate p(c) with respect to c.
-4
Suppose 2*k + 5 - 1 = 0, -4*k = -a + 8. Let b(n) be the third derivative of -1/12*n**4 + a + 0*n + n**2 - 1/6*n**3. Find the first derivative of b(g) wrt g.
-2
Let f(u) be the third derivative of -u**9/252 - 4*u**5/5 - 43*u**2. What is the third derivative of f(w) wrt w?
-240*w**3
Let j(t) = 23*t**4 - 38*t**2 + 6*t + 6. Let v(s) = -46*s**4 + 76*s**2 - 13*s - 13. Let q(o) = -13*j(o) - 6*v(o). Find the third derivative of q(p) wrt p.
-552*p
Let f(m) be the first derivative of -3*m**2/2 + 13*m - 3. Differentiate f(w) wrt w.
-3
Suppose 2*p - 4*p = 0. What is the second derivative of -m - m + p*m**4 - 3*m**4 - m wrt m?
-36*m**2
Let m(c) = -38*c**4 + 3*c**3 - 34*c. Let z(u) = 39*u**4 - 4*u**3 + 34*u. Let p(r) = 4*m(r) + 3*z(r). What is the second derivative of p(w) wrt w?
-420*w**2
Suppose -4*m - 2*p = -26, 2*m + 0*m = 5*p - 17. What is the first derivative of -26*k - m + 26*k - 3*k**3 wrt k?
-9*k**2
Let r be ((-4)/6)/(1/(-3)). Find the third derivative of -14*j**3 - 6*j**6 + 14*j**3 + 5*j**r + 14*j**6 wrt j.
960*j**3
Suppose 18 = 5*h + k, h - 14 = -0*h + 5*k. Suppose 2*t = -4*v + 12, 0*t - h*v = -4*t + 12. Find the first derivative of -1 + 0 - t*m + 4 wrt m.
-4
Let q be 2/9 - (-52)/9. What is the third derivative of q*a**2 + 21*a**3 - 6*a**4 - 21*a**3 wrt a?
-144*a
Let v(u) = u**3 + 5*u**2 + 6. Let c be v(-5). Let m be 16/c + 12/(-18). Find the third derivative of -g**2 + 4*g**2 - 4*g**2 + m*g**6 wrt g.
240*g**3
Let z(a) = -7*a**3 + 4*a**2 - 3. Let k(c) = 14*c**3 - 8*c**2 + 5. Let d(v) = -3*k(v) - 5*z(v). Find the third derivative of d(r) wrt r.
-42
Let d(n) be the third derivative of n**7/2520 + n**6/720 - n**4/8 - 2*n**2. Let x(y) be the second derivative of d(y). Find the second derivative of x(q) wrt q.
2
What is the third derivative of -87*z**3 - 5*z**2 + 100*z**3 - z**2 wrt z?
78
Let q(o) = -3*o**3 - 3*o**2 - 3*o + 7. Let w(m) = 6*m**3 + 7*m**2 + 7*m - 13. Let b(s) = -7*q(s) - 3*w(s). What is the first derivative of b(j) wrt j?
9*j**2
Let n(z) be the first derivative of 4/3*z**3 + 3 + 0*z**2 - 7/4*z**4 + 0*z. What is the third derivative of n(q) wrt q?
-42
Let a(n) be the third derivative of 2*n**2 + 0*n**4 + 1/30*n**5 + 0*n + 0 - 2/3*n**3. Differentiate a(p) wrt p.
4*p
Let p(u) = u**2 - 10*u + 11. Let g be p(9). What is the second derivative of -2 - t + 2 + g*t**2 wrt t?
4
Differentiate 7 - 15 + 4*k**2 + 12 with respect to k.
8*k
Let t be (-2)/(-10) + 57/15. Suppose -s = t*s. Find the second derivative of v**4 + v + v**4 + s*v wrt v.
24*v**2
Let o(k) be the second derivative of -3*k**8/28 + k**4/12 + k. Find the third derivative of o(y) wrt y.
-720*y**3
Let c(p) be the third derivative of -p**7/70 + 13*p**3/6 + p**2. Differentiate c(f) with respect to f.
-12*f**3
Let z be (2/(-7))/((-1)/7). L