. Find the third derivative of 5*v**2 + v**6 - 2*v**6 + 2*v**j wrt v.
120*v**3
Suppose -5*n - 20 = 0, 2*f - 3 = 2*n - 5. Let s = f - -11. What is the third derivative of 0*u**2 + 3*u**s - 5*u**6 - 3*u**2 - 3*u**6 wrt u?
-600*u**3
Let k(i) be the second derivative of -119*i**4/3 - 115*i**3/3 + 443*i - 2. What is the second derivative of k(u) wrt u?
-952
Differentiate 9 + 4*n - 47 + 2*n + 13*n**3 - 8 with respect to n.
39*n**2 + 6
Let y(v) be the second derivative of v**8/120 + v**6/90 + 2*v**3/3 + 13*v. Let w(a) be the second derivative of y(a). Find the third derivative of w(x) wrt x.
336*x
Let i(h) be the second derivative of h**7/42 - 47*h**6/30 - 73*h**4/4 - 164*h. What is the third derivative of i(t) wrt t?
60*t**2 - 1128*t
Let y(q) = -q**6 - q**5 + q**4. Let a(n) = -130*n**6 - 6*n**5 + 6*n**4 + 162*n**2 - n. Let o(v) = a(v) - 6*y(v). Find the third derivative of o(f) wrt f.
-14880*f**3
Suppose -p = -2*w + 6 + 2, 2*p + 5*w - 29 = 0. What is the second derivative of 6*s**2 - 42*s + 7*s**2 - 5*s**2 + 5*s**p wrt s?
26
Let x(d) = -d**3 + 15*d**2 - 13*d - 14. Let f be x(14). Suppose a - 15 = -4*a. What is the second derivative of -21*s + f*s**a - s**3 + 18*s wrt s?
-6*s
What is the second derivative of 4*k**2 + 42*k**2 + 12*k - 32*k**2 + 42*k**2 + 5 wrt k?
112
Let w(r) = 3*r - 8. Suppose -3*n + 0*n = -18. Let a be w(n). Find the first derivative of -j**3 - a + 4 + 7 - 4*j**3 wrt j.
-15*j**2
Let q(s) = 1. Let m(h) = -2*h**3 + 306*h**2 - 60. Let t(i) = -m(i) - 3*q(i). Differentiate t(y) with respect to y.
6*y**2 - 612*y
Let o(h) = 151*h**3 + 4*h**2 + 2*h + 131. Let p(y) = -754*y**3 - 22*y**2 - 11*y - 655. Let u(m) = 11*o(m) + 2*p(m). Find the first derivative of u(s) wrt s.
459*s**2
Let i(o) = -o**2 + 6*o - 6. Let l be i(4). Suppose -3*m + l*s + 9 = -s, 3*m + 2*s - 14 = 0. What is the second derivative of -c + m*c**4 - 2*c + c**4 wrt c?
60*c**2
Suppose -11 - 17 = -4*o - 2*n, -65 = -5*o + 5*n. Suppose -o = y - 12. Find the third derivative of 24*m**3 - 46*m**3 + 19*m**y + 3*m**2 wrt m.
-18
Let u(m) be the second derivative of 143*m**3/3 - 49*m**2/2 - 124*m. What is the first derivative of u(y) wrt y?
286
Let j be 1/(-8)*2 - (-1460)/80. Find the second derivative of 14*f + j*f + 52*f**2 + 6*f + 7*f wrt f.
104
Let h(z) be the second derivative of z**4/12 - 107*z**3/2 + 459*z**2/2 + 582*z. Differentiate h(m) with respect to m.
2*m - 321
Let l(a) be the second derivative of 121*a**4/2 - 133*a**3/2 - 26*a - 2. Find the second derivative of l(d) wrt d.
1452
Find the first derivative of -127 - 167 + 104 - 278 - 583*m wrt m.
-583
Suppose x + 4*m - 8 = 0, 2*x - 19 = -3*m - 3. Let h = -6 + x. What is the third derivative of -3*z**h + 4*z**2 + 0*z**6 + 2*z**2 - 5*z**6 wrt z?
-600*z**3
Let a(g) be the second derivative of 89*g**5/20 + 50*g**2 + 57*g. What is the derivative of a(s) wrt s?
267*s**2
Let p(t) = -t. Let o = 22 - 16. Let g(a) = 24*a - 11. Let u(n) = o*p(n) + g(n). What is the first derivative of u(q) wrt q?
18
Let j(c) be the first derivative of c**8/70 + c**6/20 - 11*c**3/3 - 1. Let y(l) be the third derivative of j(l). What is the third derivative of y(t) wrt t?
576*t
Let d(x) = 29*x**4 - 5*x**3 + 5*x**2 - 5*x - 19. Let m(s) = s**3 - s**2 + s. Let j(z) = d(z) + 5*m(z). Differentiate j(b) wrt b.
116*b**3
Let l(v) be the third derivative of 71*v**6/60 + v**5/30 - 124*v**3 + 408*v**2. Differentiate l(s) wrt s.
426*s**2 + 4*s
Let m(l) be the third derivative of -11*l**9/126 - 17*l**5/20 + 47*l**2 - 2*l. Find the third derivative of m(d) wrt d.
-5280*d**3
Let h(x) be the second derivative of -x**5/20 + 37*x**3/6 + 64*x**2 - 8*x - 1. Find the first derivative of h(y) wrt y.
-3*y**2 + 37
Suppose 0*w = 4*w + o - 754, w - 180 = 4*o. Find the third derivative of 40*q**3 + 82*q**2 - w*q**2 + 80*q**2 wrt q.
240
Let f(g) = -9*g + 10. Let p(x) = -x - 1 + 2 + 0. Let t(z) = -z**3 - z + 2. Let r be t(0). Let n(v) = r*f(v) - 14*p(v). Find the first derivative of n(a) wrt a.
-4
Find the first derivative of 403 + 218*h - 682 + 418 wrt h.
218
Suppose 7 = -2*z - 5. Let h be (2*z)/(-3 + 1). What is the third derivative of u**6 + 0*u + 0*u - h*u**2 wrt u?
120*u**3
Differentiate 2011 + 138*h - 2480 + 67*h wrt h.
205
Let m(w) be the first derivative of 0*w**2 - 7*w - 5/2*w**4 - 10 + 0*w**3. What is the derivative of m(y) wrt y?
-30*y**2
Let y be (-4 + 2)*2 - -11. What is the derivative of 14*z**2 + 10*z**2 - 1 - y - 19*z**2 wrt z?
10*z
Suppose -j + 18 = -5*n - 11, -5*n = j + 21. Find the first derivative of 2*x**3 - 1 + 3 + j + 2*x**3 wrt x.
12*x**2
Let s(c) be the first derivative of -2*c**5/5 + 7*c**4 - 16*c**3 + 8. Find the third derivative of s(n) wrt n.
-48*n + 168
Let d(u) be the first derivative of -4*u**4 - 3*u**2/2 + 3*u + 84. What is the second derivative of d(g) wrt g?
-96*g
Let h(c) = -c**3 - c**2 + c. Let g = 6 - 12. Let s(z) = 11*z**4 + 6*z**3 + 6*z**2 - 6*z - 10. Let d(u) = g*h(u) - s(u). What is the derivative of d(n) wrt n?
-44*n**3
Let a = -4 + 7. Suppose a*b + 34 = 5*b + 5*n, 5*n = 5*b - 50. Differentiate 7 - 1 + 4*r**2 - b*r**2 with respect to r.
-16*r
What is the third derivative of -55*r**4 - 34*r**4 + 41*r - 30*r**4 - 45*r**4 + 45*r**4 - 2*r**2 + r**5 wrt r?
60*r**2 - 2856*r
What is the first derivative of -10*z - 194*z - 225 - 23 + 31 wrt z?
-204
Let i(c) = -70*c**4 + 2*c**3 + 4*c**2 - 4*c. Let v(w) = w**4 - 2*w**2 + w. Let p(x) = -i(x) - 8*v(x). Find the third derivative of p(n) wrt n.
1488*n - 12
Let q(t) be the third derivative of 341*t**5/60 + 517*t**4/24 + 59*t**2 - 1. Find the second derivative of q(h) wrt h.
682
Suppose -5*z = -2*z - 15. Suppose -5*u + z*o = -15, 5*o - 31 = -2*u + 10. Find the first derivative of u*a - 9 + 1 - 16*a wrt a.
-8
Let f(j) = 93*j**3 - 3*j**2 - 77. Let m(y) = 464*y**3 - 16*y**2 - 384. Let u(n) = 16*f(n) - 3*m(n). Differentiate u(z) wrt z.
288*z**2
Let y(c) = c**3 + 2*c**2 - 2. Let u(o) = -602*o**3 - 4*o**2 + 149. Let i(p) = u(p) + 3*y(p). What is the third derivative of i(t) wrt t?
-3594
Let h = -102 - -119. Find the second derivative of -h*t + 10*t - 14*t + 32*t**2 - 13*t wrt t.
64
Let h(a) be the first derivative of -3*a**5/5 - 11*a**4/4 + 5*a**3/3 - 16*a**2 - 519. What is the third derivative of h(f) wrt f?
-72*f - 66
Let a(j) = -j**2 - 19*j - 8. Let z be a(-17). What is the third derivative of i**5 + 9*i**2 - 16*i**5 - z*i**2 wrt i?
-900*i**2
Let f(z) be the first derivative of z**5 - z**5 - 7*z + z**5 - 12 + 0*z. Differentiate f(g) with respect to g.
20*g**3
Let i(b) be the third derivative of -b**7/210 - 151*b**6/120 - 37*b**5/30 - 91*b**2 - 2*b. What is the third derivative of i(c) wrt c?
-24*c - 906
Let r(s) = 8*s - 5. Let h be r(7). Suppose -5*f - 4*y + 48 = 0, y = -5*f - 9 + h. Find the second derivative of -10*o + 10 - 10 + f*o**2 wrt o.
16
Let q = -105 - -107. Differentiate -i**2 + q - 8*i**2 - 5*i**2 with respect to i.
-28*i
Let t(f) be the first derivative of 261*f**7/7 + 119*f**3 - 566. What is the third derivative of t(r) wrt r?
31320*r**3
Let u(o) = 80*o**5 - 5*o**3 - 62*o - 5. Let g(a) = -a**5 - a**3 - a - 1. Let x(c) = -5*g(c) + u(c). What is the second derivative of x(k) wrt k?
1700*k**3
Let g(s) = s - 1. Let h(d) = -142*d**3 - 4*d + 168. Let j(q) = -4*g(q) - h(q). Find the first derivative of j(u) wrt u.
426*u**2
Suppose -2*o = 4*o - 12. Find the third derivative of -24*t**4 + 12*t**4 - 3*t**2 - 2*t**o wrt t.
-288*t
Let j(h) = 10*h + 1. Let n(d) = 9*d + 1. Let v(b) = 3*j(b) - 4*n(b). Let i be v(-14). Differentiate -14 + i*l**2 - 45*l**2 - 37*l**2 wrt l.
2*l
Let r(u) = -17*u**3 - 14*u + 7. Suppose 0 = c - 29 + 23. Let g(p) = 16*p**3 + 13*p - 6. Let m(t) = c*r(t) + 7*g(t). What is the second derivative of m(b) wrt b?
60*b
Suppose 4 = 6*u - 8. What is the third derivative of -11*c**5 + 2 - 2 - 15*c**u - 2*c**5 wrt c?
-780*c**2
Suppose 18 = -3*j + 6*j. Find the third derivative of 24*s**4 + 36*s**4 - 42*s**4 - j*s**2 wrt s.
432*s
Let k(w) be the second derivative of -61*w**6/6 + 599*w**4/12 + 273*w. What is the third derivative of k(b) wrt b?
-7320*b
Let d(z) be the first derivative of 0*z**2 - z**7 + 0*z + 0*z**4 + 0*z**6 + 22 + 0*z**5 + 46/3*z**3. Find the third derivative of d(v) wrt v.
-840*v**3
Let u(b) = -4*b**3 + b + 2. Let j(d) = -4*d**3 + d + 3. Let y(t) = 3*j(t) - 4*u(t). What is the