1
Suppose -4*m = -10*m + 12. Find the third derivative of 55*q**m + 16*q**4 - 40*q**2 + 3 - 3 wrt q.
384*q
Suppose 0 = 9*i + i - 240. Find the second derivative of i*m - 6*m**3 - 14*m - 6*m**3 wrt m.
-72*m
Suppose -18*k = -14*k - 8. Suppose 0*s - s + k*n = 2, 3*n + 3 = 3*s. Differentiate -1 + 4*t**s - 13*t**4 - 7 with respect to t.
-36*t**3
Let i(b) be the first derivative of -527*b**3/3 - 4*b**2 + 2*b + 111. What is the second derivative of i(y) wrt y?
-1054
Let w(t) be the third derivative of 13*t**6/4 + 13*t**4/12 - 2*t**2 - 4. Find the second derivative of w(j) wrt j.
2340*j
Let v(x) be the third derivative of -17*x**8/336 + x**4/4 + x**3/2 + 2*x**2 - 32. What is the second derivative of v(k) wrt k?
-340*k**3
Let t(a) = 4*a - 46. Let x(z) = -z + 23. Suppose -5*r + 3*l - 56 = -21, -r + 3*l - 19 = 0. Let f(u) = r*t(u) - 7*x(u). Find the first derivative of f(j) wrt j.
-9
Let w(v) be the first derivative of 6*v**2 + 44*v + 27 - 29*v**2 + 8*v**2 + 3*v**2. What is the derivative of w(s) wrt s?
-24
Find the third derivative of -41*r**2 + 2 + 1 + 10*r**2 + 40*r**6 + 215*r**6 - 69*r**6 wrt r.
22320*r**3
What is the second derivative of -18142*o**2 + 18075*o**2 - 62 + 2*o + 1 wrt o?
-134
Let y = 210 - 206. Let l = 4 - 2. What is the first derivative of l*p**y - 4*p**4 + 7*p**4 - 6 wrt p?
20*p**3
Suppose 3*r = 6, s + 4*r - 12 = -s. What is the third derivative of -29*z**4 - 8*z**3 + 85*z**4 - 24*z**4 - 10*z**s - 28*z**4 wrt z?
96*z - 48
What is the second derivative of 213*x - 13474*x**4 - 6*x + 13354*x**4 wrt x?
-1440*x**2
Let s(r) be the second derivative of 76*r**3/3 - 401*r**2/2 - 13*r + 23. Differentiate s(o) wrt o.
152
Let n = -19 - -23. Suppose 4*g - 7*g + 5 = n*f, -3*g + 5*f + 14 = 0. What is the third derivative of -3*d**g + 77*d**5 - 10*d**2 - 89*d**5 + 3*d**3 wrt d?
-720*d**2
Let n(r) be the second derivative of 0*r**5 + 0*r**6 - 2*r + 0 - 1/42*r**7 + 0*r**4 + 0*r**2 - 5/3*r**3. Find the second derivative of n(k) wrt k.
-20*k**3
Find the third derivative of -1 + 0*w + w**6 + 0*w + 379*w**3 - 389*w**3 + 3*w**2 wrt w.
120*w**3 - 60
Suppose -2*x - 2*x + 4 = 0, 3*x - 3 = 2*g. Let j = 3 - g. What is the first derivative of -2 - 1 + j + 7 + 7*y**4 wrt y?
28*y**3
Let a(r) = -3*r - 1. Let v be a(-4). Let d = v + -8. Find the second derivative of 11*m**5 - d*m**5 + 11*m - 19*m**5 wrt m.
-220*m**3
What is the second derivative of -41*k**5 + k**4 - 70*k**5 + 118*k + 144*k**5 wrt k?
660*k**3 + 12*k**2
Let z(m) be the second derivative of 269*m**7/42 - m**5/20 - 2*m**3/3 + 17*m**2/2 + 2*m + 253. What is the second derivative of z(r) wrt r?
5380*r**3 - 6*r
Let f(x) be the third derivative of -x**6/20 + x**5/60 - x**4/12 - 37*x**3 - 337*x**2 + 2. Find the second derivative of f(z) wrt z.
-36*z + 2
Suppose -3*p = 3*p - 24. Suppose 4*v = 3*v + p. Find the third derivative of -10*y**v + 10*y**4 - 4*y**2 + y**4 wrt y.
24*y
Let i(p) be the first derivative of p**2/2 + p - 11. Let m(b) = 7*b + 4. Let k(d) = -30*i(d) + 5*m(d). Differentiate k(q) wrt q.
5
Let o(n) be the second derivative of n**7/70 - n**6/18 - n**3 - 12*n. Let l(b) be the second derivative of o(b). What is the third derivative of l(d) wrt d?
72
Let b be ((-8)/(-12))/((-2)/21). Let r(p) = p**3 + 6*p**2 - 8*p - 5. Let f be r(b). What is the second derivative of -6*w + 0*w - 10*w**f + w - 3*w wrt w?
-20
Suppose 0*y = -2*y + 24. Find the second derivative of y*k**4 - 45*k - 45*k**4 + 13*k**4 wrt k.
-240*k**2
Suppose 0 = 2*l - a + 1, -l + 5*l - 28 = -4*a. What is the derivative of l + r**2 - 11*r**2 - r**2 wrt r?
-22*r
Suppose -1 - 43 = -4*m. Let a be (2 - m)*(1 - 2). What is the third derivative of -a*u**6 - 1 - 45*u**2 + 1 + 42*u**2 wrt u?
-1080*u**3
Let h(v) = 593*v**5 + 23*v**2 + 15. Let f(x) = 890*x**5 + 37*x**2 + 22. Let y(c) = 5*f(c) - 8*h(c). Find the third derivative of y(w) wrt w.
-17640*w**2
Let n(j) be the third derivative of 13*j**6/30 - j**5/20 - 8*j**3 - 10*j**2 - 8*j. Find the first derivative of n(f) wrt f.
156*f**2 - 6*f
Let a(f) be the first derivative of 6 + 0*f**2 + 13/6*f**6 + 0*f**4 + 0*f**5 + 4/3*f**3 + 0*f. What is the third derivative of a(l) wrt l?
780*l**2
Let w(c) = -5*c + 10. Let g(k) = 6*k - 11. Let d = 35 + -31. Let h(a) = d*w(a) + 3*g(a). Differentiate h(m) wrt m.
-2
Let q be -4*(-1)/(36/27). Let g(k) be the first derivative of -5/2*k**2 - 2*k**q + 0*k - 3. Find the second derivative of g(b) wrt b.
-12
Let r(s) = 31*s**3 - 11*s**2 - 11*s + 50. Let t = -3 + 14. Let b(w) = -10*w**3 + 4*w**2 + 4*w - 17. Let m(y) = t*b(y) + 4*r(y). Differentiate m(f) wrt f.
42*f**2
Let p(y) be the third derivative of 0*y**5 + 1/10*y**6 - 6*y**2 + 0*y**4 + 0 - 1/3*y**3 + 0*y. Differentiate p(s) with respect to s.
36*s**2
Let m = 5849/12 + -487. Let i(j) be the second derivative of m*j**4 + 0*j**2 - 5*j + 0 - 1/3*j**3. What is the second derivative of i(a) wrt a?
10
Let z(r) be the first derivative of -105*r**4/2 - 897*r + 507. Find the first derivative of z(u) wrt u.
-630*u**2
What is the third derivative of -12*j**2 + 11 - 14 - 7*j**2 + 0*j**4 + 7*j**3 - 3*j**4 wrt j?
-72*j + 42
Let h(u) be the first derivative of -2*u**7/21 + u**5/30 + 3*u**2 + 11. Let p(r) be the second derivative of h(r). Find the third derivative of p(m) wrt m.
-480*m
Suppose 7*s - 15 = 4*s. Let c be s - -1 - 36/9. Find the second derivative of 3*u + 22*u**2 - 20*u**c + 0*u + 2*u wrt u.
4
Let k(a) = 186*a**3 + 8*a**2 - 28. Let j(r) = -185*r**3 - 9*r**2 + 28. Let v(u) = -3*j(u) - 4*k(u). Find the third derivative of v(d) wrt d.
-1134
Let a(d) be the second derivative of 5*d**5/4 + 43*d**4/12 - 63*d - 2. What is the third derivative of a(g) wrt g?
150
Let z be 84/63 + 4/6. Find the second derivative of 5*i**z + 2*i - 9*i + 5*i + 3*i wrt i.
10
Let c be 6 + (-1 - (-2 - -5)). Find the second derivative of 9*j**2 - 11*j**c - 4*j - 8*j**2 wrt j.
-20
Let p(j) be the second derivative of -38*j**3/3 + 91*j**2 - 546*j. Differentiate p(b) wrt b.
-76
Let u(n) be the second derivative of -9*n**4/4 - n**3/3 - 913*n**2/2 + 381*n. Find the first derivative of u(z) wrt z.
-54*z - 2
Let p be (-34)/(4 + -5) + 4. Find the third derivative of p*u**4 + 10*u**4 - 17*u**4 + 14*u**2 wrt u.
744*u
Let p(a) be the third derivative of a**7/210 + a**6/30 - a**4/24 - 11*a**3/6 - 65*a**2. What is the second derivative of p(b) wrt b?
12*b**2 + 24*b
Suppose 4*k = -k + 25. Suppose -13 = -k*t - 3. Find the second derivative of 27*o**2 - 4*o - 2*o**4 - 14*o**t - 13*o**2 wrt o.
-24*o**2
Let x(y) be the second derivative of 7*y**6/30 + 2*y**4/3 - y**2 + 51*y. Find the third derivative of x(h) wrt h.
168*h
Let h(b) be the third derivative of 2*b**7/105 - b**6/36 - b**3/6 - 19*b**2. Let v(z) be the first derivative of h(z). Find the third derivative of v(y) wrt y.
96
Let c(r) = -7 + 2*r + 4 + 5 + 10. Let o be c(-5). What is the third derivative of 4*v**o - 6*v**4 - 4*v**4 + 2*v**2 + 2*v**4 wrt v?
-192*v
Let m(z) be the third derivative of 3*z**7/70 + 3*z**6/40 + 47*z**5/10 + 327*z**2. What is the third derivative of m(i) wrt i?
216*i + 54
Let l(i) be the third derivative of i**7/210 - 7*i**5/30 - 5*i**4/6 - i**3/3 - 112*i**2. What is the second derivative of l(j) wrt j?
12*j**2 - 28
Let m(b) = b**3 + 7*b**2 - 95. Let h(a) = 2*a**3 + 18*a**2 - 189. Let t(v) = -4*h(v) + 10*m(v). What is the first derivative of t(k) wrt k?
6*k**2 - 4*k
Find the third derivative of 27 - 84*i**3 + 32 - i**2 - 42 wrt i.
-504
Let x(p) be the first derivative of -149*p**6/6 - 4*p**2 - p + 78. What is the second derivative of x(h) wrt h?
-2980*h**3
Let u(t) be the third derivative of 0*t**4 + 10*t**2 + 0 + 0*t - 1/6*t**5 - 8/3*t**3. What is the derivative of u(x) wrt x?
-20*x
Let s be (-7 + 1)*(-320)/30. Find the third derivative of -s*f**2 + 3*f**4 + 39*f**2 + 26*f**4 wrt f.
696*f
Let h(s) = 2*s**2. Let z be h(1). Find the third derivative of -d**4 + 3*d**4 + 5*d**z - 3*d**2 - 18*d**2 wrt d.
48*d
Let t = 48 - 22. Find the first derivative of 11 + 6*c**4 + t - 5 wrt c.
24*c**3
Let n(w) be the first derivative of -1 + 0*w**3 + 0*w**5 - 1/2*w**6 + 0*w**4 + 0*w + 19/2*w**2. What is the second derivative of n(k) wrt k?
-60*k**3
Let b(j) = j**2 - 15*j - 12. Suppose 2*t + 23 = 55. Let v be b(t). Find the second derivative of 0*k**4 + 3*k**v + 8*k + 5*k**4 wrt k.
96*k**2
Let y be 1 - 