 m + m**5 - 11*m**2 + m wrt m?
60*m**2
Let b(i) = i**2 + 7*i - 15. Let n be b(-9). Find the third derivative of 6*d**2 + 9*d**2 - 18*d**4 - 14*d**2 + n*d**4 wrt d.
-360*d
Suppose r - 84 = -r. Suppose 11*z = 8*z + r. What is the derivative of z*n - 11*n - 3*n + 5*n**2 - 4 wrt n?
10*n
Let i(s) = -11*s**2 + 4*s**2 - 8 + 8*s**2. Let d be i(5). Differentiate -16*k + d*k - 1 + 3 with respect to k.
1
Let c be (-3)/(-6) - (-14)/4. Find the second derivative of -c*d - 5*d**2 + 6*d + 10*d wrt d.
-10
Let z(s) = -52*s**3 - 12*s**2 + 79. Let a(m) = -2*m**2 + 1. Let p(y) = 6*a(y) - z(y). What is the first derivative of p(h) wrt h?
156*h**2
Let c(t) = -4*t**3 - 27*t**2 - 2*t + 252. Let b(d) = -7*d**3 - 54*d**2 - 5*d + 503. Let w(z) = -2*b(z) + 5*c(z). Differentiate w(l) with respect to l.
-18*l**2 - 54*l
Let y(a) be the third derivative of a**9/378 + a**6/60 - 2*a**3 + 8*a**2. Let k(n) be the first derivative of y(n). Find the third derivative of k(v) wrt v.
480*v**2
Let q(h) be the third derivative of -7*h**5/20 - h**4/12 - 37*h**3/6 + 322*h**2. Find the second derivative of q(i) wrt i.
-42
Let f(n) be the third derivative of 0*n**3 - 13/30*n**5 + 0*n + 22*n**2 - 7/12*n**4 + 0. What is the second derivative of f(p) wrt p?
-52
Let r be ((-12)/(-8))/((-6)/(-160)). Suppose -11*d + 15*d = r. What is the second derivative of -5*n - 6*n**3 + d - 10 wrt n?
-36*n
Let z(w) = 621*w**2 + 5*w - 592. Let v(k) = 310*k**2 + 3*k - 295. Let r(y) = 5*v(y) - 3*z(y). What is the derivative of r(i) wrt i?
-626*i
Let f(n) = -n - 8. Let x be f(-10). Differentiate -2 + 5 + 7*l**4 + x*l - 2*l with respect to l.
28*l**3
Let u(h) = 7*h - 4*h - 3*h + 5*h + 3 + h**2. Let n be u(-5). Find the second derivative of -59 + f**n + 2*f + 59 wrt f.
6*f
Let v(s) be the first derivative of -s**7/14 + 4*s**3/3 + 3*s + 4. Let c(k) be the first derivative of v(k). What is the second derivative of c(l) wrt l?
-60*l**3
Let p(m) = -m**3 + 18*m**2 + 18*m + 21. Let r be p(19). What is the second derivative of 63*s**2 - 26*s**r - 21*s**2 + 36*s wrt s?
32
Suppose -2*f - 2 + 8 = 0. What is the third derivative of -17*b**5 + 225*b**f - 20*b**2 - 225*b**3 wrt b?
-1020*b**2
Let j = -549 - -2197/4. Let y(g) be the first derivative of j*g**4 + 4 + 0*g + 8/3*g**3 + 0*g**2. Find the third derivative of y(b) wrt b.
6
Let b(r) be the third derivative of -2/5*r**5 - 12*r**2 + 5/8*r**4 + 0*r**3 + 0*r + 0. What is the second derivative of b(w) wrt w?
-48
Suppose -g + 4*q + 13 = 0, 5*g - q - 35 = 4*q. What is the first derivative of 21 - 6 + g*k**4 + k**4 + 4*k**4 wrt k?
40*k**3
Let t(d) be the third derivative of 0*d**6 + 0*d**3 + 0*d**7 + 0*d**4 + 1/10*d**5 + 1/24*d**8 + 0 + 0*d - 14*d**2. What is the third derivative of t(g) wrt g?
840*g**2
Let k(i) be the first derivative of 0*i**5 + 0*i - 7*i**2 + 0*i**3 - 15/2*i**6 + 0*i**4 - 27. Find the second derivative of k(x) wrt x.
-900*x**3
Let j(u) = -12*u**2 + 5*u - 6. Let m(q) = 1 + q - 1 + 102*q**2 - 1 - 103*q**2. Let a(s) = j(s) - 5*m(s). What is the derivative of a(c) wrt c?
-14*c
Let r(m) be the first derivative of -315*m**4/4 + m**2/2 + 214*m + 100. Find the second derivative of r(b) wrt b.
-1890*b
Let q(s) = -342*s - 172. Let n(p) = 684*p + 345. Let x(h) = 3*n(h) + 5*q(h). What is the first derivative of x(a) wrt a?
342
Let t(b) be the first derivative of 11*b**9/3024 + b**5/10 - 13*b**3/3 - 9. Let y(d) be the third derivative of t(d). Find the second derivative of y(r) wrt r.
220*r**3
Let s = -82 - -150. Find the third derivative of -h**2 - 33 + 3*h**5 + s - 35 wrt h.
180*h**2
Let b(w) be the first derivative of w**7/280 + 2*w**6/45 - 22*w**3/3 - 22. Let t(u) be the third derivative of b(u). Find the third derivative of t(r) wrt r.
18
Let s be (-4)/7*14/(-2). What is the derivative of 4*d**4 - 1 - 6*d**4 + s wrt d?
-8*d**3
Let n(b) = -b**3 + 10*b**2 - b + 14. Let v be (-6 - -3)/((-6)/20). Let w be n(v). What is the derivative of 9 + o**w - 24*o + 12*o + 12*o wrt o?
4*o**3
Let i(o) be the first derivative of -30 + 0*o**2 + 0*o**3 + 8*o - 19/5*o**5 + 0*o**4. Differentiate i(m) wrt m.
-76*m**3
Let i(v) be the second derivative of -v**6/30 + v**4/2 + 5*v**2/2 + v. Let f(l) be the first derivative of i(l). Find the second derivative of f(j) wrt j.
-24*j
Let u(a) = a**2 - 5*a - 4. Let p be u(8). Suppose -4*q + 40 = 5*j, -q + 5*j - p = -5. Find the second derivative of 2*f - 6*f**4 + 0*f + q*f - 8*f wrt f.
-72*f**2
What is the third derivative of 0*p**2 - 105*p**4 + 30*p**2 + 48*p**3 + 209*p**4 - 103*p**4 wrt p?
24*p + 288
Let z be -5*6/(-30)*(0 - -13). What is the second derivative of -z*y - 23*y**5 - 4*y - y - 2*y**5 wrt y?
-500*y**3
Let u(j) be the first derivative of -23*j**5/5 - j**4/2 - 28*j**3 + 17. What is the third derivative of u(x) wrt x?
-552*x - 12
Let l(s) be the second derivative of 167*s**6/15 - 5*s**3/6 - 3*s**2 - 353*s - 1. What is the second derivative of l(o) wrt o?
4008*o**2
Differentiate -5 + 54 - 4*f - 23*f + 3*f + 108 with respect to f.
-24
Let a(q) be the third derivative of -19/120*q**6 + 0*q**3 + 0 + 0*q - 13*q**2 - 17/60*q**5 + 0*q**4. Find the third derivative of a(p) wrt p.
-114
Find the first derivative of -n**3 - 27*n - 16*n - 33*n + 5 + 2*n**3 wrt n.
3*n**2 - 76
Suppose -3*l + 14 = -l. Let o(b) = b**3 - 7*b**2 + 4. Let z be o(l). What is the third derivative of 4*x**2 - 3*x**2 + x**z - 14*x + 14*x wrt x?
24*x
Let b(u) be the first derivative of -3*u**5/5 - 35*u**4 - 2*u**3/3 + 11*u**2 - 968. Find the third derivative of b(o) wrt o.
-72*o - 840
Let c(p) be the second derivative of -p**7/70 - 10*p**3/3 - 3*p**2 - 17*p. Let z(s) be the first derivative of c(s). Find the first derivative of z(y) wrt y.
-12*y**3
Let b be ((-3)/(-2))/(21/28). Suppose 9 = p - b. What is the second derivative of 14*g**3 + 685 - 685 - p*g wrt g?
84*g
Let s(b) = -531*b**3 + 163*b**2 - 15*b + 7. Let h(r) = 797*r**3 - 244*r**2 + 21*r - 10. Let q(y) = 5*h(y) + 7*s(y). Find the third derivative of q(c) wrt c.
1608
Let m(v) = v**2 + 6*v - 5. Let o be m(-7). Suppose -o*b = -10 - 0. What is the third derivative of -2*p**2 + 6*p**2 - 4*p**5 + 5*p**3 - b*p**3 wrt p?
-240*p**2
Suppose 4 = 5*w - 1. What is the derivative of 4 - 10*k + 1 + w - 2 wrt k?
-10
Let r = -24 - -28. Find the second derivative of -11*a**5 + 12*a**4 + 0*a - a - 12*a**r wrt a.
-220*a**3
Let o(v) be the first derivative of 19*v**3 - 37*v - 30. Let c(t) = 28*t**2 - 18. Let i(w) = -5*c(w) + 3*o(w). Differentiate i(k) with respect to k.
62*k
Let m(s) = 2*s**2 + 13*s - 18. Let h be m(-8). Suppose o - 2*p = 3*p + 11, 4*o = -2*p + 22. What is the first derivative of -f**2 + 9 - h + o*f**2 + f**2 wrt f?
12*f
Let o(n) be the third derivative of 0*n + 0*n**3 + 0 + 0*n**4 + 0*n**6 - 17/20*n**5 - 46*n**2 + 5/21*n**7. What is the third derivative of o(f) wrt f?
1200*f
Let z(w) be the first derivative of -7*w**2 + 1/3*w**3 - 10 - w. What is the second derivative of z(b) wrt b?
2
Suppose 97*c = 53*c. Let w(s) be the second derivative of 0*s**4 + c*s**5 + 0*s**2 + 1/6*s**6 + 4/3*s**3 + 2*s + 0. Find the second derivative of w(k) wrt k.
60*k**2
Let b(c) = -c**2 + c - 1. Let o(q) = 75*q**5 - 20*q**2 - 60*q - 20. Let g(i) = 20*b(i) - o(i). What is the second derivative of g(w) wrt w?
-1500*w**3
Let p = 63 + -61. Differentiate 2*w**p - w**3 - 21*w**3 + 26 - 2*w**2 wrt w.
-66*w**2
Let g(k) be the first derivative of 10 + 5/2*k**2 - 2/3*k**3 + 0*k. Find the second derivative of g(l) wrt l.
-4
Suppose 0 = 14*r - 19*r + 10. What is the third derivative of 7*c**4 + 44*c**2 - 13*c**r + 8*c**4 - 7*c**4 wrt c?
192*c
Suppose 3*r + 2*w - 40 = 30, -r = -5*w + 5. Find the first derivative of -x**2 + x**2 + 0*x**2 - 3*x**2 - 2*x - r wrt x.
-6*x - 2
Let v(d) = 145*d**3 - 88*d**2 + 16*d - 3. Let u(y) = 145*y**3 - 88*y**2 + 24*y - 3. Let q(z) = -2*u(z) + 3*v(z). What is the third derivative of q(n) wrt n?
870
Let m = -47 - -49. What is the third derivative of 11*g**3 + 28*g**2 - 4*g**3 - 4*g**m - 2*g**2 wrt g?
42
Let b(j) = -j + 3. Let r be b(0). Suppose 0 = -5*z - 3*i + 19, -z - r = -0*z + 4*i. What is the first derivative of 0 - 1 - z*f**3 - 2 wrt f?
-15*f**2
Differentiate 136*u - 5 + 6 - 4 + 95*u - 15 wrt u.
231
Let q(c) be the second derivative of -c**6/15 + c**5/2 - 851*c**4/12 + 223*c. Find the third derivative of q(h) wrt h.
-