ive of 42*z**5 - 31*z**5 + 5*z**l - 21*z**5 wrt z.
-600*z**2
Let g be (-28)/12*(-54)/63. Suppose k + m = 6*m + 1, -m + 31 = 5*k. What is the first derivative of 2*z**2 + k*z**4 + 10 - g*z**2 - 5*z**4 wrt z?
4*z**3
Let n(y) be the first derivative of -y**8/168 - y**5/8 - 3*y**3 - 15. Let h(i) be the third derivative of n(i). Find the second derivative of h(r) wrt r.
-120*r**2
Let j(a) be the first derivative of 11*a**5/120 - 3*a**4/4 + a**3/3 + 10. Let n(m) be the third derivative of j(m). Differentiate n(o) wrt o.
11
Suppose 0 = -5*f + 2*f + 30. Let s = 15 - f. Find the second derivative of -h**s - 2*h - 3*h + 0*h wrt h.
-20*h**3
Let k(o) = -374*o**4 - 17*o**3 - 51*o + 969. Let y(q) = -107*q**4 - 5*q**3 - 15*q + 277. Let j(x) = -5*k(x) + 17*y(x). Differentiate j(v) with respect to v.
204*v**3
What is the second derivative of 24*v**5 - 25*v**3 - 17*v**3 + 42*v**3 - 245*v wrt v?
480*v**3
Let c be (-8)/(-6 + 4)*45/12. Find the first derivative of c*f**3 + 12*f**3 - 8*f**3 + 21 - 7 wrt f.
57*f**2
Let f(t) = -17*t**2 + 72*t + 2. Let h(y) = -17*y**2 + 72*y + 3. Let d(n) = -3*f(n) + 2*h(n). What is the second derivative of d(q) wrt q?
34
What is the first derivative of 405*c**3 + 73 - 20*c**4 - 405*c**3 wrt c?
-80*c**3
Let c(q) = q**2 + 2*q - 4. Let d be c(-4). What is the third derivative of -4*p**2 - 2*p**2 - 22*p**d + 16*p**4 + 8*p**4 wrt p?
48*p
Let k be ((-5)/(-2))/5*10. Let s = k + -3. Find the third derivative of -1 + 1 + 3*f**2 - 2*f**4 - 4*f**s wrt f.
-48*f
Let h(u) = u + 13. Let j be h(-8). Suppose -10 = -j*p - 0*p. What is the second derivative of -3*t - 5*t**p + 4*t - 2*t wrt t?
-10
Let x = -6420 - -9441. Find the third derivative of 24*k**4 - 3021*k - 24*k**2 + x*k wrt k.
576*k
Let n(o) = -15*o**3 - 5*o**2 + 9*o - 6. Let f(k) = -7*k**3 - 2*k**2 + 4*k - 3. Let l(a) = -5*f(a) + 2*n(a). Find the second derivative of l(x) wrt x.
30*x
Let f(p) = -12*p. Let b = 35 - 28. Suppose -3*t - 12 = -b*t. Let l(a) = 13*a + 1. Let w(q) = t*l(q) + 4*f(q). Differentiate w(h) wrt h.
-9
Let d(m) be the third derivative of 0 + 0*m**6 + 0*m + 3/70*m**7 + 0*m**3 + 0*m**5 + 4*m**2 - 1/3*m**4. What is the second derivative of d(b) wrt b?
108*b**2
Let n(p) be the second derivative of -91*p**3/6 - 49*p**2 + 14*p. Let f(w) = 10*w + 11. Let k(x) = 35*f(x) + 4*n(x). Find the first derivative of k(g) wrt g.
-14
Let f(a) be the third derivative of 7*a**6/60 - 17*a**5/60 - a**3 + 4*a**2 + 19*a. What is the third derivative of f(r) wrt r?
84
Differentiate 13514 - 13420 + 88*x + 6*x with respect to x.
94
Let c(u) = 19*u + 383. Let l be c(-20). Let j(x) be the first derivative of 0*x**2 + 5*x - 9 - 4/3*x**l. Differentiate j(f) wrt f.
-8*f
Let r(s) = -226*s**2 + 4*s - 227. Let w(k) = -454*k**2 + 9*k - 453. Let t(a) = -9*r(a) + 4*w(a). What is the derivative of t(d) wrt d?
436*d
Let v(i) be the third derivative of 0*i**6 + 0*i + 7/12*i**4 - 1/70*i**7 + 0*i**5 + 0 + 0*i**3 + 2*i**2. Find the second derivative of v(s) wrt s.
-36*s**2
Let b(s) be the third derivative of -2*s**8/21 + s**6/60 - 55*s**4/24 + 2*s**2 + 28. Find the second derivative of b(f) wrt f.
-640*f**3 + 12*f
Let i(o) be the second derivative of 2*o**7/21 + o**5/2 - 51*o**4/4 + 38*o. Find the third derivative of i(c) wrt c.
240*c**2 + 60
Let l(b) be the third derivative of b**9/378 - b**6/40 + 10*b**3/3 - 20*b**2. Let s(x) be the first derivative of l(x). Find the third derivative of s(t) wrt t.
480*t**2
Find the first derivative of 0*u - 108*u**3 - 53 + 103*u**3 + 7*u wrt u.
-15*u**2 + 7
Let d(q) = q**3 - 4*q**2 - 5*q + 4. Let y be d(5). Let x(z) = 2*z - 16. Let h be x(10). Find the second derivative of w + w**y + h*w**4 + 3*w + 0*w**4 wrt w.
60*w**2
Let p(t) be the third derivative of t**8/112 + 19*t**5/30 - 31*t**4/6 + 27*t**2. Find the second derivative of p(q) wrt q.
60*q**3 + 76
Suppose 5*x + 4 = 14. Let w = 6 - x. Find the first derivative of 8 - 10*l**3 - 5 + w*l**3 wrt l.
-18*l**2
Find the second derivative of 3*j**2 + 4190 + 147*j**5 + 5*j - 3*j**2 - 4210 wrt j.
2940*j**3
Let r(c) be the third derivative of 0 - 3*c**2 + 11/60*c**6 + 0*c**3 + 0*c + 7/24*c**4 + 0*c**5. Find the second derivative of r(b) wrt b.
132*b
Let i(l) be the first derivative of 0*l**4 + 3*l**3 + 5/6*l**6 + 0*l**5 + 0*l**2 + 0*l + 12. What is the third derivative of i(k) wrt k?
300*k**2
Let u(c) be the second derivative of 8*c**6/15 + c**4/3 - 7*c**3 - 13*c. Find the second derivative of u(o) wrt o.
192*o**2 + 8
What is the derivative of -3850 + 86*f**4 + 3329 - 16*f**4 + 74*f**4 wrt f?
576*f**3
Find the third derivative of -k**6 + 210*k**2 - 8*k**6 + 176*k**4 - 182*k**4 wrt k.
-1080*k**3 - 144*k
Let v(t) be the second derivative of 0*t**5 + 0*t**2 + 0 + 7/30*t**6 + 13*t + 20/3*t**3 + 0*t**4. Find the second derivative of v(n) wrt n.
84*n**2
Let u(z) be the third derivative of z**7/210 + 7*z**5/10 + 19*z**3 + 95*z**2. Find the first derivative of u(m) wrt m.
4*m**3 + 84*m
Differentiate u**2 - u**2 + 30 - 219*u**3 - 5 + 29 with respect to u.
-657*u**2
Let x = 10 + -15. Let b(t) = -5*t**2 - 5*t - 3. Let l(n) = 75 + n - 39 - 37. Let j(o) = x*l(o) - b(o). Differentiate j(h) with respect to h.
10*h
Let m(s) = -4*s + 1. Let g(f) = -10*f + 3*f + 4*f + 7*f. Let d = -4 - -10. Let z(u) = d*g(u) + 5*m(u). What is the derivative of z(q) wrt q?
4
Let j(o) be the second derivative of -175*o**4/6 - o**3/3 - 29*o**2 - 171*o. Find the second derivative of j(q) wrt q.
-700
Let g be (4 - 9)*(-22)/(-5). Let u = g + 27. What is the third derivative of -68*p - 11*p**2 + 68*p - u*p**4 wrt p?
-120*p
Let r(h) be the second derivative of 103*h**5/20 - 4*h**4/3 + h**3/2 - 150*h. What is the third derivative of r(j) wrt j?
618
Let v = 2/1373 + 4115/2746. Let g(y) be the second derivative of 0*y**3 + 0 + v*y**2 + 1/30*y**6 + 0*y**4 + 7*y + 0*y**5. What is the derivative of g(p) wrt p?
4*p**3
Suppose 0 = -0*a + 4*a - 12. What is the third derivative of -a*b**6 - 2*b**3 - 14*b**2 + 5*b**6 + 2*b**3 wrt b?
240*b**3
Let t(s) be the second derivative of 12*s + 3/2*s**3 + 0*s**2 - 1/5*s**5 + 0 + 0*s**4. What is the second derivative of t(n) wrt n?
-24*n
Let y(u) be the third derivative of 5*u**7/42 - u**6/120 + 9*u**5/10 + 5*u**2 - 12*u. What is the third derivative of y(m) wrt m?
600*m - 6
Let t(u) be the third derivative of -u**8/168 - u**6/24 + 43*u**4/6 - 2*u**2 + 94*u. What is the second derivative of t(o) wrt o?
-40*o**3 - 30*o
Suppose -2*g - 20 = -6*g. Find the third derivative of -115*l + 115*l + 8*l**2 + 9*l**g wrt l.
540*l**2
Let h = 105 - 102. Find the third derivative of 6*g**3 - 11*g**h - 3*g + 5*g**3 - 3*g**6 + 3*g**2 wrt g.
-360*g**3
Let a be (-4)/(3/((-6)/4)). Suppose -a*v - 118 = -j, j + j = -v + 226. Differentiate 2 + 7 + j*w - 106*w with respect to w.
8
Let n = -12 - -22. Suppose -4*a - s + n = -3*a, a = -3*s + 20. Differentiate -10*k**3 + a*k**3 + 8*k**4 - 5 + 5*k**3 with respect to k.
32*k**3
Suppose -5*j - 2*d = d - 20, 0 = -2*d. Find the third derivative of -62*q**2 + 70*q**2 + 27*q**4 - 10*q**j wrt q.
408*q
Suppose -18 = 4*m - 10*m. What is the second derivative of -2 - 111*p + 132*p + 2 - 44*p**m wrt p?
-264*p
Suppose -3*c = -541 - 371. What is the second derivative of -c*k**5 + 316*k**5 + 10*k + 7*k wrt k?
240*k**3
Suppose -x + 2*i = -13, -5*x + 5 + 90 = -4*i. Let g = 26 - x. Differentiate -g*n**2 - 3*n**2 + 20 - 22 with respect to n.
-12*n
What is the second derivative of 26*i + 300*i**3 - 121 - 842*i**3 - 24*i wrt i?
-3252*i
Differentiate 13 + 2*z + 0*z + z + 3*z with respect to z.
6
What is the third derivative of 0*z**5 - 4*z**4 - 2*z**5 + 2*z**2 - 3*z**2 + 3*z**5 - 40 + 2*z**5 wrt z?
180*z**2 - 96*z
Let y(k) be the third derivative of -29*k**4/8 - 46*k**3/3 + 41*k**2 - 1. What is the derivative of y(d) wrt d?
-87
Let l(p) be the third derivative of 163*p**6/120 - 62*p**5/15 - 9*p**2 + 10*p. What is the third derivative of l(m) wrt m?
978
Let s = -4 + 16. Suppose -4*b = -s - 8. Let p(g) = -16*g**3 - 26. Let v(o) = -11*o**3 - 17. Let q(r) = b*p(r) - 7*v(r). What is the derivative of q(i) wrt i?
-9*i**2
Let z(x) be the second derivative of 103*x**6/30 + 31*x**4/6 - 12*x - 2. Find the third derivative of z(u) wrt u.
2472*u
Suppose -4*m + 4 = -3*m. What is the second derivative of -3*o - m*o**5 + 6*o + 8*o wrt o?
-80*o**3
Let m(g) be th