4 wrt a?
-3000*a**2 + 48*a
Suppose -12 = d - 78. Suppose -6*c + d = 5*l - 2*c, -2*l = -5*c - 33. Find the second derivative of -2*v + 6 - l*v**5 - 6 wrt v.
-280*v**3
Let z(j) be the third derivative of -j**5/60 - j**4/3 - 3*j**3/2 + 3*j**2. Let l be z(-6). Differentiate l + 1 + 6*t**2 - t**2 with respect to t.
10*t
Find the third derivative of -107*v**3 + 14*v + 85*v**2 - 16*v + 2*v wrt v.
-642
Let u be -1 + 0 + 4 + -3. Suppose -2*k - 2*k + 44 = u. Find the second derivative of -2*r**2 + 22*r - k*r - 15*r wrt r.
-4
Let a(y) be the third derivative of y**7/2 + 19*y**4/2 - y**3/3 - 75*y**2 - 2. What is the second derivative of a(t) wrt t?
1260*t**2
Let x(c) be the second derivative of -197*c**7/21 + 535*c**3/6 - 2*c + 91. What is the second derivative of x(z) wrt z?
-7880*z**3
Let o(m) = -10 + 317*m**2 + 56*m**3 - 10 - 328*m**2. Let y(w) = -14*w**3 + 3*w**2 + 5. Let a(n) = -6*o(n) - 22*y(n). What is the first derivative of a(u) wrt u?
-84*u**2
Let s(t) = t**3 + 16*t**2 - 17*t + 2. Let v be -21 - (-1)/((-4)/(-16)). Let w be s(v). Find the third derivative of 37 + w*c**3 - 7*c**2 - 37 wrt c.
12
Let x(l) be the second derivative of 13*l**4/12 - l**3/6 - 8*l**2 - 35*l + 2. What is the first derivative of x(h) wrt h?
26*h - 1
Suppose -8*x = -7*x - 2. Let s(p) = -p - 1. Let l(f) = -5*f**2 + 15*f + 9. Let j(r) = x*l(r) + 18*s(r). What is the second derivative of j(i) wrt i?
-20
Let o(g) be the third derivative of -1/4*g**4 + 0 + 5*g**3 + 0*g - g**2. What is the derivative of o(j) wrt j?
-6
Let l(b) = -2*b**5 + 167*b**3 - 38*b - 2. Let f(q) = 3*q**5 - 166*q**3 + 37*q + 4. Let w(c) = -3*f(c) - 4*l(c). What is the second derivative of w(a) wrt a?
-20*a**3 - 1020*a
Let o(f) be the third derivative of -2*f**7/21 - f**5/60 + 163*f**3/6 - 208*f**2. Differentiate o(v) wrt v.
-80*v**3 - 2*v
Let p(i) = i**3 - 3*i**2 + 3*i - 3. Let n be p(3). Let k = -60 + 62. What is the derivative of -2*u**2 + 7*u**k + 2 + n - 10 wrt u?
10*u
Let f(h) be the third derivative of 0*h**3 + 0*h + 1/6*h**4 + 0*h**5 + 0 - 11*h**2 + 0*h**6 - 1/70*h**7. What is the second derivative of f(k) wrt k?
-36*k**2
Let u(w) = 34*w**3 - 8*w**2 - 39*w. Let k = 16 - 24. Let y(p) = -11*p**3 + 3*p**2 + 13*p. Let b(f) = k*y(f) - 3*u(f). Find the second derivative of b(r) wrt r.
-84*r
Let r(s) = -34*s**6 - 18*s**2 + s. Let g(f) = -69*f**6 - 36*f**2 + f. Let l(o) = -2*g(o) + 5*r(o). What is the third derivative of l(j) wrt j?
-3840*j**3
Let w(p) = 2*p**3 - 205*p**2 + 167*p - 10. Let b(g) = -g**2 + 2*g - 2. Let v(q) = -5*b(q) + w(q). Find the second derivative of v(n) wrt n.
12*n - 400
Let j(f) = -f**3 - 3*f**2 + f + 5. Let h be j(-4). Differentiate 2 + h*z**4 + 0 + 2 + 3 wrt z.
68*z**3
Suppose 0 = -k + 3*z + 4, 5*z - 24 = 5*k - 4. Let n = -6 - k. What is the second derivative of h - 2*h - n*h**4 + h**4 wrt h?
-12*h**2
Differentiate 37*p**3 + 245 - 3*p**3 + 79*p**3 wrt p.
339*p**2
Let s(n) = 0*n**2 - 153 + 3*n**3 + 157 + n - 6*n**2 - 2*n**3. Let c be s(6). Find the second derivative of c + 9*b - 10 + 6*b**4 + 0 wrt b.
72*b**2
Let w(x) = x**2 + x. Let n(u) = 62*u**2 + 30*u. Let h(c) = n(c) - 5*w(c). What is the second derivative of h(g) wrt g?
114
Let k(d) be the third derivative of -d**7/105 - 31*d**6/30 + 67*d**3 + 2*d**2 - 185. Differentiate k(m) wrt m.
-8*m**3 - 372*m**2
Let p(w) be the first derivative of -575*w**3/3 + 25*w**2 + 3*w - 818. Find the second derivative of p(a) wrt a.
-1150
Let f be 1*-2*(-1)/(-2). Let b be ((-4)/6)/(f/6). Find the second derivative of -4*v**2 + 4*v**2 - v**b - v - 3*v**4 wrt v.
-48*v**2
Let n(i) = i**3 + 9*i**2 + 7*i - 5. Let h be n(-8). Let w(a) = 2*a - 3. Let o be w(h). Differentiate 3*c**2 - o*c**2 + 0*c**3 + 4*c**3 - 1 with respect to c.
12*c**2
Find the third derivative of -10*y**4 + 7*y**4 + 6*y**3 - 20*y**3 - 2 - 2 - 3*y**2 wrt y.
-72*y - 84
Find the second derivative of 2*s + 4 - 82*s**2 - 6*s + 8*s wrt s.
-164
Let t(m) = -37*m**3 - 3*m**2 + 124. Let g(y) = 109*y**3 + 8*y**2 - 371. Let u(l) = -3*g(l) - 8*t(l). Differentiate u(x) with respect to x.
-93*x**2
Let p(s) be the first derivative of -525*s**4/4 - 72*s + 53. What is the derivative of p(b) wrt b?
-1575*b**2
Let a(o) be the first derivative of -7*o**6/120 + 19*o**5/60 - 7*o**2 - 15. Let c(d) be the second derivative of a(d). Find the third derivative of c(u) wrt u.
-42
Let h(t) be the first derivative of -29/2*t**2 + 0*t - 25 + 9*t**3. Find the second derivative of h(n) wrt n.
54
Let q(z) be the first derivative of 11*z**8/56 - 19*z**4/12 - 28*z + 15. Let f(a) be the first derivative of q(a). Find the third derivative of f(y) wrt y.
1320*y**3
Let o(a) = 20*a + 63. Let n(p) = 30*p + 94. Let q(g) = -5*n(g) + 8*o(g). Find the first derivative of q(j) wrt j.
10
Let o(w) be the third derivative of -209*w**7/210 + w**5/60 - 23*w**4/12 - 6*w**2 - 3*w. Find the third derivative of o(v) wrt v.
-5016*v
What is the first derivative of 252*g + 10 + 317 - 54*g + 33 wrt g?
198
Let t(b) be the first derivative of 4/3*b**3 + 0*b**4 + 2 + 0*b**2 + 0*b**5 + 0*b - 9/7*b**7 + 0*b**6. Find the third derivative of t(v) wrt v.
-1080*v**3
Let g(u) = -u**2 + u - 1. Let t(w) = 69*w**4 - 15*w**2 + 12*w - 24. Let m(x) = 15*g(x) - t(x). What is the second derivative of m(r) wrt r?
-828*r**2
Let q(y) be the second derivative of -y**7/42 - 39*y**5/20 - 91*y**4/12 + 104*y. What is the third derivative of q(d) wrt d?
-60*d**2 - 234
What is the third derivative of 8*c**2 + 99*c**4 - 126*c**2 - 32*c**4 + 18*c**4 wrt c?
2040*c
What is the second derivative of 77*v + 41*v + 2*v**2 - 65*v**2 wrt v?
-126
Let p = 10 + -8. Let l be 3 + 5 - (p - 0). What is the second derivative of 8*c + c**4 - l*c + 2*c wrt c?
12*c**2
Suppose -4*j - 8 = 0, 2*c - 2*j = 2*j + 14. Let u be (-4 - 1) + 42/6. Differentiate -6 - n**u + c + 4 wrt n.
-2*n
Let o be (0 + 0)*(5 + 1)/12. Let c(h) be the first derivative of -7*h - 2 + 0*h**2 + 7/5*h**5 + o*h**3 + 0*h**4. Find the first derivative of c(y) wrt y.
28*y**3
Let f = 18 - -1. Let k = f - 14. Find the third derivative of 2*a**2 + 4*a**5 - a**k + 2*a**2 wrt a.
180*a**2
Suppose -3 = -3*j + 12. Suppose -2*w = -j - 3. What is the second derivative of -2*i + 3*i**2 + 4*i**2 - 3*i**2 - w*i wrt i?
8
Let b be (225/6)/(-25)*(-4)/3. Suppose 2*i + 4 - 92 = 0. Differentiate 53 - b*h - i - 2*h wrt h.
-4
Let j(o) be the third derivative of 2*o**7/105 - 2*o**4 - 583*o**3/6 - 2*o**2 + 102. What is the derivative of j(t) wrt t?
16*t**3 - 48
Let w(d) = 9*d**2 - d + 3. Let j(f) = 9*f**2 - 2*f + 2. Let l(x) = -3*j(x) + 4*w(x). Let m(z) be the first derivative of l(z). Differentiate m(q) wrt q.
18
Let q(w) = 8*w**6 - 2*w**5 + 3*w**4 + 4*w**3 + 54*w**2 - 2. Let d(l) = l**5 - 2*l**3 + 1. Let u(v) = 2*d(v) + q(v). What is the third derivative of u(f) wrt f?
960*f**3 + 72*f
Suppose 0*t = 2*t + 36. Let x = t + 20. Find the third derivative of 0*a**2 + a**x - a**6 + 7*a**6 + 2*a**2 wrt a.
720*a**3
Let s(o) = 15*o**4 - 14*o**3 + 14*o**2 + 204. Let h(p) = -7*p**4 + 8*p**3 - 8*p**2 - 101. Let q(n) = 7*h(n) + 4*s(n). Differentiate q(i) with respect to i.
44*i**3
Suppose 3*f = j + 18, -2*j - 1 = 2*f + 3. Let m be ((j - -1)*1)/(-1). What is the third derivative of 4*i**2 - 2*i**2 - m*i**2 - i**2 - 4*i**6 wrt i?
-480*i**3
Let a(r) be the third derivative of r**5/3 + r**4/12 + 17*r**3/2 + 22*r**2. Find the second derivative of a(k) wrt k.
40
Suppose 0*a - a + 3*s + 2 = 0, -a + 5*s + 2 = 0. What is the third derivative of -5*o**a + 6*o**3 + 2*o**2 + 7*o**2 wrt o?
36
Let l(u) = -18*u**4 + 37*u**2 - 1. Let c(w) = -w**4 + 1. Let b(k) = -c(k) - l(k). What is the third derivative of b(n) wrt n?
456*n
Let u(q) = -30*q**3 + 2*q**2 + 5*q + 5. Let t(b) = 31*b**3 - 3*b**2 - 6*b - 6. Let i(h) = -5*t(h) - 6*u(h). What is the third derivative of i(c) wrt c?
150
Let s = 129 - 98. What is the derivative of -4*y - 48 - s*y**2 - 3*y + 7*y wrt y?
-62*y
Let b(s) = -s**2 + 5*s + 17. Let o be b(7). Suppose -o*k = q - 1, 2 = -4*k + 3*q - q. Find the first derivative of k + 5 - 2*x + 0 - 2 wrt x.
-2
Let p(r) be the third derivative of 5/2*r**3 + 17/105*r**7 + 0*r**6 + 0*r**4 - 18*r**2 + 0*r**5 + 0*r + 0. What is the derivative of p(z) wrt z?
136*z**3
Let m(u) = -8*u**4 + 170*u**3 - 31*u. Let v(c) = 2*c**4. Let z(x) = -m(x) - 5*v(x). Find the second derivative of z(s) wrt