- a wrt v.
-12
Let n(k) be the third derivative of -5*k**4/3 + 23*k**3/6 + k**2 + 16*k. What is the derivative of n(r) wrt r?
-40
Let b = -10 - -15. Suppose -4*a + 4*w = -52, 49 = 5*a + 4*w - 5*w. What is the second derivative of -s - s - a*s**5 + b*s**5 wrt s?
-80*s**3
Let w(s) be the second derivative of -s**4/12 - s**3/6 + 9*s. Let g(p) = -20*p**2 + 6*p. Let r(x) = -g(x) + 2*w(x). What is the second derivative of r(m) wrt m?
36
Suppose 8 = -2*l, -2*z + l = -3*l - 26. Suppose v = 2, 0*v = z*u + 3*v - 16. Find the third derivative of 2*k**2 - 2*k + 6*k**3 - 5*k**3 + u*k wrt k.
6
Let p = 10 + -9. Let n(r) = r**2 - r. Let z(c) = -6*c**3 - 4*c**2 + 4*c - 10. Let j(l) = p*z(l) + 4*n(l). Find the first derivative of j(m) wrt m.
-18*m**2
Let a(v) = v**3 + 9*v**2 + 8*v + 5. Let g be a(-8). Let s be ((-6)/4)/((-3)/6). Find the second derivative of 3*t**5 + s*t**g - t - 5*t wrt t.
120*t**3
Let k be 2 + -1 + 8/(-4). Let t = 11 + k. Differentiate -t + 0*m + 0*m - 3*m + m wrt m.
-2
Let c(x) be the second derivative of -223*x**4/12 + 83*x**2 + 17*x + 5. Differentiate c(f) with respect to f.
-446*f
Suppose -3*z + 4*z = 2. What is the third derivative of 53*a**3 - 8*a**2 - 2*a**z - 67*a**3 wrt a?
-84
Let y(c) = 13*c**2 - 2*c - 3. Let x(h) = 4*h + 1 - 39*h**2 + 3 + 3*h + 5. Let p(o) = -4*x(o) - 14*y(o). Differentiate p(d) wrt d.
-52*d
Let t(y) = y + 1. Let b(o) = 68*o**2 - 69*o + 6. Let p(u) = b(u) - 6*t(u). What is the second derivative of p(d) wrt d?
136
Suppose 2*q = 2*x - 6, -1 - 1 = 4*q - 2*x. What is the derivative of 4 + 0*h**2 - 3*h**3 + 0*h**q + 9 wrt h?
-9*h**2
What is the first derivative of -509*p + 9*p + 57*p - 534 + 57 wrt p?
-443
Let h = 59 + -39. Find the first derivative of -177 + 71 - h*l**4 + 70 wrt l.
-80*l**3
Let y(m) be the first derivative of -17/4*m**4 - 19*m + 9 + 0*m**3 + 0*m**2. Differentiate y(j) with respect to j.
-51*j**2
Suppose b + 3*p - 38 = 0, -4*p - 65 = 5*b - 200. Find the third derivative of -b*t**2 + 17*t**2 + 13*t**2 + t**4 wrt t.
24*t
Let i(f) = -f + 1. Let r = -9 + 13. Let o be (-10)/6 - r/(-6). Let d(v) = -7*v + 8. Let b(y) = o*d(y) + 6*i(y). Differentiate b(t) with respect to t.
1
Suppose -n + 5 = 4. Let j be ((-12)/(-4) + -2)/n. What is the second derivative of -5*r**3 + 4 - 5 - r + j wrt r?
-30*r
Let c(f) = -2*f**2 + 14*f + 1. Let l be c(6). Suppose 0 = -2*b + l - 5. What is the derivative of 15*d**b - 12*d**4 + 3 + 11 - 5 wrt d?
12*d**3
Let s(i) = -i**2 - 9 + 5 + 3*i + 3*i. Let z be s(4). Find the second derivative of -7*x + 0*x**3 + 5*x**3 + z*x**3 + 0*x wrt x.
54*x
Let o(k) = -737*k**2 - 2*k - 75. Let n(b) = -2*b**2 + 6. Let l(s) = 5*n(s) + o(s). Find the second derivative of l(t) wrt t.
-1494
Let x(c) be the second derivative of -10*c**7/21 + c**6/10 + 17*c**4/3 - 167*c + 1. What is the third derivative of x(g) wrt g?
-1200*g**2 + 72*g
Let u = 19 - 17. Find the second derivative of 0*x - 2*x - 52*x**2 + 60*x**u wrt x.
16
Let i(o) = 676*o**3 - 3*o**2 + 578*o + 3. Let l(z) = -1350*z**3 + 5*z**2 - 1157*z - 5. Let w(j) = -5*i(j) - 3*l(j). What is the second derivative of w(k) wrt k?
4020*k
Let f(a) = 2*a**3 + a - 1. Let y be f(1). What is the first derivative of -4*c**y - 241 + 252 + 21*c**2 wrt c?
34*c
Let v(n) be the second derivative of -5*n - 1/2*n**3 + 0*n**2 + 0 - 14/15*n**6 + 0*n**4 + 0*n**5. What is the second derivative of v(k) wrt k?
-336*k**2
Let s(i) be the second derivative of -10*i**4/3 - 15*i**3/2 + 3*i**2/2 + 131*i. Find the second derivative of s(x) wrt x.
-80
Let g(a) = a**3 - 9*a**2 + 12*a - 6. Let y be g(8). What is the third derivative of 31*j**2 - y*j**2 - 2*j + 10*j**6 + 2*j wrt j?
1200*j**3
Let u(g) = -7*g + 7. Let o(w) = -20*w + 22. Let h(f) = 4*o(f) - 11*u(f). Let n(t) = t - 5. Let l(c) = 6*h(c) + 15*n(c). Differentiate l(y) with respect to y.
-3
Let i(c) = 39*c**3 - c**2 - 38*c. Let m(w) = -37*w**3 + 2*w**2 + 38*w. Let o(b) = -3*i(b) - 2*m(b). What is the third derivative of o(z) wrt z?
-258
Suppose -d = -17*d - 28*d. Let n(p) be the first derivative of -1/2*p**4 + d*p - 3/2*p**2 + 9 + 0*p**3. Find the second derivative of n(x) wrt x.
-12*x
Let l(z) be the second derivative of 7*z**6/5 - 2*z**3/3 + 6*z - 3. Find the second derivative of l(x) wrt x.
504*x**2
Let n be -34*(-3)/24 - 4. Let q(x) be the second derivative of n*x**4 + 0 + 0*x**2 + 3*x + 5/6*x**3. Find the second derivative of q(j) wrt j.
6
Let b(d) be the first derivative of -5*d**2 + 10*d + 10. Let k(x) = x - 1. Let g(s) = -b(s) + 4*k(s). What is the derivative of g(y) wrt y?
14
What is the third derivative of 32*q**5 + 18*q**5 - 407*q**4 - 60*q**2 + 407*q**4 wrt q?
3000*q**2
Let k(n) be the second derivative of 37*n**7/42 + n**5/10 + 71*n**4/12 - 191*n. Find the third derivative of k(u) wrt u.
2220*u**2 + 12
Let l(t) be the second derivative of 0*t**5 + 0*t**6 + 0*t**2 + 0*t**3 + 29/42*t**7 - 13/12*t**4 - 22*t + 0. Find the third derivative of l(v) wrt v.
1740*v**2
Let a(g) be the second derivative of 153*g**4/2 + 7*g**3/6 + 39*g**2/2 - 497*g. What is the second derivative of a(k) wrt k?
1836
Let w = 52 - -269. Find the third derivative of w*f**4 - 327*f**4 - 20*f**2 + 2*f**2 wrt f.
-144*f
Let u(b) = 2*b**2 - 4*b - 13. Let i be u(-2). What is the second derivative of 98*k - 83*k - 10*k**i + 0*k**3 wrt k?
-60*k
Let z(k) be the first derivative of 0*k**2 - 9 + 26/3*k**3 - 7/4*k**4 + 0*k. Find the third derivative of z(g) wrt g.
-42
Let h be (3 + 18/(-4))*(-8)/4. Let d(l) = l + 7. Let g be d(-5). What is the first derivative of i**2 - 3*i**2 + i**2 + h - 3*i**g wrt i?
-8*i
Let o(a) = a**2 - 5*a - 5. Let c be o(6). Suppose 4*t - 3*t + 27 = 2*u, 0 = -u + 3*t + 1. Find the first derivative of x**3 + 16*x**2 - c - u*x**2 wrt x.
3*x**2
Let k(l) = l**4 + l**3 + l**2 - 1. Let v(j) = -55*j**6 + 6*j**4 + 6*j**3 - 39*j**2 - 6. Let z(a) = -6*k(a) + v(a). What is the third derivative of z(i) wrt i?
-6600*i**3
Find the first derivative of -61*q - 44*q - 116*q - 82 - 45*q - 45 wrt q.
-266
Suppose 0*y = 2*y. Let o be (0 - y)/((-6)/3). Find the second derivative of 3*n + 0*n**2 - 2*n**2 - 2*n**2 + o*n**2 wrt n.
-8
Suppose 3*n + 34 = -2. Let d = n - -12. Differentiate -4 + d - 4*h - 4*h + h with respect to h.
-7
Let l = 40 + -38. What is the derivative of 1 + 80*k**l - 62*k**2 + 10 wrt k?
36*k
Let j(h) = h**3 + 2*h + 3. Let t be j(0). Find the third derivative of 3*s**3 - 10*s**2 - 9*s**2 + 2*s**t + 11*s**2 wrt s.
30
Let s(f) = 2*f**2 - 6*f - 9. Let j be s(5). What is the second derivative of j*c + 16*c - 26*c - 36*c**3 wrt c?
-216*c
Let k(f) be the second derivative of 313*f**7/21 + f**4 + f**2/2 - 4*f + 29. What is the third derivative of k(h) wrt h?
37560*h**2
Let x(r) = 130*r**4 + 4*r**3 + 131*r - 2. Let g(j) = -j**4 - j**3 + j + 1. Let f(y) = -4*g(y) - x(y). What is the second derivative of f(d) wrt d?
-1512*d**2
Suppose -3*b - 5*b = -3*b. Find the second derivative of -11*l - 25*l**3 + b*l + 30*l**3 wrt l.
30*l
Let p(d) be the first derivative of -3*d**4/2 + 5*d**3/3 - d**2 + 189*d + 358. What is the second derivative of p(s) wrt s?
-36*s + 10
Let w(i) be the third derivative of -i**9/8 - i**5/20 + i**4/12 + 2*i**2 - 21*i. Find the third derivative of w(r) wrt r.
-7560*r**3
Let t(k) = 249*k**2 + 220*k + 20. Let l(q) = 250*q**2 + 221*q + 16. Let o(y) = 5*l(y) - 4*t(y). Find the second derivative of o(c) wrt c.
508
Let v(t) = -50*t**2 + 16 - 3*t - 6*t**3 + 6*t - 16. Let q(n) = -5*n**3 - 50*n**2 + 2*n. Let i(m) = -3*q(m) + 2*v(m). Find the third derivative of i(b) wrt b.
18
What is the first derivative of -171 - 84*a**2 + 213*a**2 - 9*a**2 wrt a?
240*a
Let l(k) = -k**3 - k**2. Let v(w) = -66*w**3 - 12*w**2 - 5. Let z(r) = 5*l(r) - v(r). What is the third derivative of z(o) wrt o?
366
What is the first derivative of -5*l**2 - 161 - 35*l - 77 + 7*l**2 + 11*l wrt l?
4*l - 24
Find the third derivative of 0*i**2 - i**4 + 0*i**4 - i**2 - 65*i**6 - 237 + 257 wrt i.
-7800*i**3 - 24*i
Let w(s) be the second derivative of -29*s**5/10 - 11*s**4/12 + s**3/3 + 180*s. What is the third derivative of w(j) wrt j?
-348
Let j(o) = 2*o**2 + o + 1. Let h(r) = 190*r**2 + 160*r + 5. Let x(f) = -h(f) + 5*j(f). What is the second derivative of x(k) wrt k?
-360
Let v(s) be the second derivative of 11/20*s**5 - 35/2*s**2 + 0*s**4 + 0*s**3 + 12*s + 0. Find the fir