hird derivative of -2*n**4 + 15*n**4 + 20*n**k - 4*n**2 wrt n.
312*n
Find the second derivative of 0 + 4*q**4 - q**4 + 2 + 133*q + 5*q**2 wrt q.
36*q**2 + 10
Suppose 4*j = -3*s + 145, 0*j = 4*j + 4*s - 148. Find the second derivative of 14*n - 13*n**4 - j*n - 7*n**4 wrt n.
-240*n**2
Let w(x) = 14*x**5 - 2*x**3 - 11*x - 4. Let r(j) = -12*j**5 + 10*j + 2. Let a(d) = -5*r(d) - 4*w(d). What is the second derivative of a(p) wrt p?
80*p**3 + 48*p
Find the first derivative of -36 + 25*p**3 - 34 - 5 - 46 - 2 wrt p.
75*p**2
Let b(m) = 148*m**3 + 277*m**2 - 3*m - 6. Let w(s) = 2*s**3 - s - 2. Let h(v) = -b(v) + 3*w(v). Find the third derivative of h(k) wrt k.
-852
What is the third derivative of -184 + 2*m**2 + 55*m**4 - 37*m**4 + 20*m**4 + 0*m**2 wrt m?
912*m
Differentiate 13*y**2 + 10*y**2 - 32 - 2*y**2 + 20 - 28 wrt y.
42*y
Let u(p) be the third derivative of -2*p**9/63 - 181*p**5/60 + 18*p**2 + 6*p. Find the third derivative of u(i) wrt i.
-1920*i**3
Let d(z) be the third derivative of -77*z**5/30 + 109*z**4/8 + 162*z**2. Find the second derivative of d(i) wrt i.
-308
Suppose 2*f = -2*f. Suppose -4*o + 8 = -f*o. What is the third derivative of u**2 - u**3 - 3*u**3 + 0*u**2 + o*u**3 wrt u?
-12
Let l = -94 - -102. Find the third derivative of -l*m**3 + 27*m**3 + 5*m**2 - 18*m**2 wrt m.
114
Let b = -41 + 45. Find the third derivative of -4*w**2 + 106*w**3 - 64*w**3 - b*w**2 wrt w.
252
Let k(g) = -g - 7. Let l be k(5). Let t = l - -14. Find the second derivative of 14*h**t - 14*h**2 - 2*h**5 + h wrt h.
-40*h**3
Let i(n) = -n - 12. Let k be i(-13). Let y be 9 + (k - 4) + 1. What is the third derivative of -4*c**3 + 6*c**3 + 10*c**2 + c**3 - y*c**3 wrt c?
-24
Let q(p) = -300*p**5 - 17*p**3 + 156*p + 17. Let d(s) = 100*s**5 + 6*s**3 - 52*s - 6. Let z(t) = 17*d(t) + 6*q(t). What is the second derivative of z(n) wrt n?
-2000*n**3
Let n be (-126)/(-28) + 2/(-4). Find the third derivative of -77*a**n + 5*a**2 + 64*a**4 + 0*a**2 wrt a.
-312*a
Let l(x) be the third derivative of x**8/48 - x**7/210 - x**5/60 - x**4/3 - 16*x**2 - 2. What is the third derivative of l(n) wrt n?
420*n**2 - 24*n
Let p(x) be the first derivative of 49*x**6/120 + 8*x**3/3 + 19*x**2/2 + 27. Let s(u) be the second derivative of p(u). Find the first derivative of s(r) wrt r.
147*r**2
Let l(d) be the second derivative of 7*d**6/30 - d**4/6 + 5*d**3/2 + 46*d. Find the second derivative of l(k) wrt k.
84*k**2 - 4
Let w(h) be the third derivative of -h**6/60 - 4*h**4/3 + 4*h**3/3 + h**2 + 9. Differentiate w(z) wrt z.
-6*z**2 - 32
Suppose 0 = 9*n - 5*n - 12. Find the first derivative of -9*y**3 + 12*y**3 + 31*y**n - 16 wrt y.
102*y**2
Let i(o) be the first derivative of o**7/35 - 19*o**5/60 + 5*o**2/2 - 6. Let a(p) be the second derivative of i(p). Find the third derivative of a(z) wrt z.
144*z
Let r(o) = -2*o - 13. Let y be r(-9). Suppose -y*u + 3*u = -28. What is the second derivative of 1 - 8*q + u*q**5 - 1 - 6*q**5 wrt q?
160*q**3
Let j(l) be the second derivative of 97*l**7/21 + 235*l**4/12 - l**2 - 2*l - 31. Find the third derivative of j(a) wrt a.
11640*a**2
Let d(n) be the first derivative of 2*n**5/5 - 69*n**2 - 150*n - 338. Differentiate d(b) with respect to b.
8*b**3 - 138
Let z(x) be the second derivative of 0 + 0*x**3 + 46*x - 7/6*x**4 + 0*x**2 - 37/20*x**5. What is the third derivative of z(k) wrt k?
-222
Let u be 216/40 - (-2)/(-5). Let m be (-16)/8 - (1 - u). Find the second derivative of r**m + 3*r - 3*r**2 + 4*r**5 + 2*r**2 wrt r.
80*r**3
Let o(t) = 4*t - 1. Let n be o(-3). Let s = 15 + n. What is the third derivative of -7*c**s + 0*c**2 + 7*c**5 + c**2 - 3*c**5 wrt c?
240*c**2
Let c(i) = -191*i**3 - 3*i**2 - 146*i + 8. Let r(o) = -379*o**3 - 5*o**2 - 293*o + 14. Let d(q) = 5*c(q) - 3*r(q). Find the second derivative of d(p) wrt p.
1092*p
Let x(a) be the first derivative of 8/7*a**7 + 7 + 0*a**4 + 0*a + 0*a**2 - 8/3*a**3 + 0*a**6 + 0*a**5. Find the third derivative of x(r) wrt r.
960*r**3
Let n = 17 + -9. Let h = n + -5. Find the third derivative of 6*b - 6*b + 3*b**h + 5*b**2 wrt b.
18
Let x(j) be the second derivative of 31*j**4/2 - 48*j**2 + 202*j. Find the first derivative of x(r) wrt r.
372*r
Suppose -11 - 7 = -3*m - q, -2*m + 4*q - 2 = 0. What is the derivative of 2*u + 7*u - m*u - 33 + 5*u wrt u?
9
Let w = -8 - -13. Find the second derivative of 2*m**3 + 26*m**w - 2*m**3 + 2*m - 21*m**5 wrt m.
100*m**3
Let g(q) be the third derivative of -155*q**4/12 + 19*q**3 + 19*q**2 + 1. Find the first derivative of g(d) wrt d.
-310
Let o(l) be the first derivative of 0*l**5 + 0*l**2 - 4/7*l**7 + 0*l**4 + 0*l - 13/3*l**3 + 0*l**6 - 8. What is the third derivative of o(x) wrt x?
-480*x**3
Let j(q) = q**2 - 59 + 32 + 26. Let c(k) = 4. Let a(r) = -c(r) - 6*j(r). What is the first derivative of a(g) wrt g?
-12*g
Differentiate -s**2 + 173*s**4 + 0*s**2 + 2232*s - 2232*s - s**2 + 85 with respect to s.
692*s**3 - 4*s
Find the third derivative of -10*q**3 - 10*q**2 - 9*q**2 + 10*q**3 - 45*q**3 - q**5 wrt q.
-60*q**2 - 270
Let w(q) = 123*q**5 - 17*q**2 - 25*q - 16. Let b(j) = -122*j**5 + 18*j**2 + 24*j + 18. Let a(i) = -8*b(i) - 9*w(i). Find the third derivative of a(c) wrt c.
-7860*c**2
Let r(x) be the second derivative of x**6/2 - 5*x**4/12 + 77*x**2 - 139*x. What is the first derivative of r(f) wrt f?
60*f**3 - 10*f
What is the second derivative of -1454*z**4 + 11 + 1455*z**4 - 3*z + 34*z**2 + 2*z wrt z?
12*z**2 + 68
Let d(s) be the third derivative of -s**9/168 - s**8/112 - s**5 - s**3/3 + 36*s**2. What is the third derivative of d(v) wrt v?
-360*v**3 - 180*v**2
What is the second derivative of -3*s - 12 + 150*s**2 + 9*s - 2*s**3 - 185*s**2 wrt s?
-12*s - 70
Let p(k) = -k**3 - 4*k**2 + 9*k - 4. Let b be p(-6). Find the second derivative of -10*d - b*d**4 - 20*d - 39*d**4 wrt d.
-636*d**2
Let l(m) be the second derivative of -m**5/20 - 7*m**4/4 + m**3/2 - 3*m**2/2 - 20*m. What is the second derivative of l(f) wrt f?
-6*f - 42
Let x = 20 + -32. Let j(z) = -z + 1. Let u(p) = -p**3 + p**2 - 4*p + 4. Let m(f) = x*j(f) + 3*u(f). What is the third derivative of m(c) wrt c?
-18
Let h(k) be the third derivative of 0 + 2*k**3 + 11*k**2 + 0*k + 0*k**5 - 11/60*k**6 + 0*k**4. Find the first derivative of h(t) wrt t.
-66*t**2
Differentiate -52*z + 53*z - 62 + 82 + 127 - 278*z wrt z.
-277
Let q(v) be the second derivative of 23*v**4/4 + 28*v**2 - 2*v + 1. Find the first derivative of q(r) wrt r.
138*r
Let h(g) be the second derivative of g**9/1080 + g**6/72 + g**4/4 - 4*g. Let c(k) be the third derivative of h(k). What is the second derivative of c(q) wrt q?
168*q**2
What is the second derivative of 102*r**2 + 116*r - 37*r**2 - 363*r wrt r?
130
Let k(o) = o**3 + o**2 + 1. Let n(t) = -105*t**4 + 6*t**3 - 2*t**2 + 2*t + 4. Let p(u) = -4*k(u) + n(u). What is the third derivative of p(w) wrt w?
-2520*w + 12
Let c(a) be the second derivative of 9*a**6/5 + 157*a**2/2 - 37*a. What is the derivative of c(z) wrt z?
216*z**3
Suppose 48 = 26*j - 25*j. Differentiate 177 - 38 - j + 51*y - 45 wrt y.
51
Suppose -2*p + 6 = 0, 57 = 4*f - 0*f - 5*p. What is the derivative of 6 + f + 18 - 37*u**2 wrt u?
-74*u
Let q(d) be the third derivative of 25*d**4/24 - 30*d**3 + 2*d**2 - 36. Differentiate q(w) with respect to w.
25
Let q be -20 + 16 - -1*3. Let h be 12/(-18)*(-2 + q). Find the second derivative of 8*l**2 + 7*l + l**h - 19*l wrt l.
18
Let h(x) be the third derivative of 487*x**6/120 - 11*x**5/15 + x**4/6 + 15*x**2 + 11. Find the third derivative of h(c) wrt c.
2922
Let j be (3 + (-28)/8)*(-16)/4. Let k(z) be the second derivative of 0*z**2 + 3/10*z**5 + 0*z**3 + 1/2*z**4 + 0 + j*z. Find the third derivative of k(o) wrt o.
36
Let r(s) be the third derivative of -101*s**5/12 - 97*s**4/8 + 200*s**2. What is the second derivative of r(t) wrt t?
-1010
Suppose m + 13*m - 2198 = 0. What is the first derivative of -m - 6*t + 210 + 9*t wrt t?
3
Let f(p) = -5*p**3 - 4*p**2 - 14*p + 64. Let r(g) = -12*g**3 - 10*g**2 - 29*g + 129. Let q(m) = -5*f(m) + 2*r(m). Differentiate q(w) wrt w.
3*w**2 + 12
Let t(n) be the third derivative of 64*n**7/105 - 7*n**5/60 + n**4/2 + 4*n**2 + 3*n. What is the third derivative of t(q) wrt q?
3072*q
Let q(x) be the third derivative of 3*x**7/10 - 37*x**3/6 + 37*x**2 + 2. What is the first deri