v
Let m(z) be the second derivative of -z**9/28 + 49*z**5/60 - 15*z**2 - 32*z. Let u(g) be the first derivative of m(g). Find the third derivative of u(j) wrt j.
-2160*j**3
Let u(m) = -5*m - 11 - 28*m - 10 + 4*m. Let y(a) = 29*a + 22. Let g(n) = -6*u(n) - 5*y(n). Differentiate g(p) wrt p.
29
Find the third derivative of -l**3 - 189*l**2 - 198*l**2 + 11*l**4 + 375*l**2 wrt l.
264*l - 6
Suppose 7 = 2*p + 15. Let x = 1 - p. What is the third derivative of -2*f**5 + f**4 - f**4 - 6*f**x - 10*f**2 wrt f?
-480*f**2
Differentiate -311 + 1187*n - 90 - 441*n with respect to n.
746
Let t = -56 + 61. Find the third derivative of -98*w**t + 119*w**5 - 9*w**2 + 22*w**2 wrt w.
1260*w**2
Let b(u) = 4*u**5 + 2 + 0 + 4*u**3 + 8*u - 6*u**3. Let l(o) = -o**3 + o + 1. Let a(t) = -b(t) + 2*l(t). Find the second derivative of a(v) wrt v.
-80*v**3
Suppose 3*a = -12, 4*j - 40 = -a + 24. Differentiate -j - 4*d**2 + 30*d**2 + 35 wrt d.
52*d
Let t(f) be the second derivative of -95*f**7/42 - 9*f**4/2 + 78*f. Find the third derivative of t(a) wrt a.
-5700*a**2
Let d(k) = -k**2 - 43*k + 5. Suppose 1 = a, 0 = -2*b - 3*a - 0*a + 9. Let z(c) = 22*c - 3. Let t(g) = b*d(g) + 5*z(g). Find the second derivative of t(r) wrt r.
-6
What is the first derivative of 171 + 178 + 445*q - 790 wrt q?
445
Find the second derivative of 3*x - 25*x**5 + 243*x**3 - 243*x**3 + 0 + 11 + 15 wrt x.
-500*x**3
Let b(g) = -389*g - 281. Let o(m) = -387*m - 281. Let n(h) = -5*b(h) + 6*o(h). What is the derivative of n(f) wrt f?
-377
Let w(v) be the third derivative of -v**7/7 + v**6/120 + v**5/60 - 34*v**3/3 - 69*v**2. What is the third derivative of w(j) wrt j?
-720*j + 6
Let t(l) = -13*l**4 - 6*l**3 + 5*l - 3. Let f(z) = z**3 - z + 1. Let p(o) = 5*f(o) + t(o). What is the first derivative of p(y) wrt y?
-52*y**3 - 3*y**2
Let p(c) be the third derivative of 41*c**8/168 - 3*c**4 + 69*c**2. Find the second derivative of p(j) wrt j.
1640*j**3
Find the second derivative of 2 - 4 + 26*l - 43*l**2 - 26*l**2 + 40*l**2 wrt l.
-58
Let m(y) be the second derivative of 0*y**3 + 0*y**2 + 3/4*y**5 + 0 - 5/4*y**4 + 7*y. What is the third derivative of m(t) wrt t?
90
Find the second derivative of 2*r**4 + 17 - r + 14 + 8*r**2 + 44 + 2 wrt r.
24*r**2 + 16
Let o(v) be the third derivative of -v**7/105 - 2*v**6/15 - 31*v**5/20 + v**4/12 - 10*v**2 + 10. What is the third derivative of o(r) wrt r?
-48*r - 96
Let d(m) be the third derivative of -m**7/210 - 5*m**5/4 + m**4/8 - 11*m**3/3 - 61*m**2. What is the second derivative of d(w) wrt w?
-12*w**2 - 150
Suppose 0*o = -3*o - 42. Let z = o - -17. What is the second derivative of 2*q**3 + 10*q - q - 4*q + 3*q**z wrt q?
30*q
Let q(x) = -x**3 - x + 10. Let b be q(0). Suppose -10*a + b = -5*a. What is the first derivative of -5*w**a + 2*w**2 - 6*w**2 + 5*w**2 - 13 wrt w?
-8*w
Let m(p) be the first derivative of 0*p + 39/7*p**7 + 0*p**6 + 0*p**4 - 13/3*p**3 + 0*p**5 + 0*p**2 + 11. Find the third derivative of m(x) wrt x.
4680*x**3
Differentiate -301 - 249*u**4 - 2 - 155 with respect to u.
-996*u**3
What is the third derivative of -27*x - 2*x**2 - 270*x**3 - 6*x**3 + 49*x + 10*x wrt x?
-1656
Let u(i) be the third derivative of i**7/30 - 31*i**4/12 + 69*i**2. Find the second derivative of u(m) wrt m.
84*m**2
Let g be ((-32)/(-12))/(-4)*-36. Suppose -w + 10 = 4*v - g, 3*w - 30 = -3*v. What is the second derivative of 8*z**2 - 8*z**2 + 13*z**4 - 8*z - v*z**4 wrt z?
60*z**2
Suppose 4*c - 3*f - 43 = -c, 5*c - 7*f - 27 = 0. Let m(l) be the first derivative of c + 0*l**2 + 3*l + 4/3*l**3. Differentiate m(x) wrt x.
8*x
Find the second derivative of -6 + 13*s**3 - 9*s**5 - 5*s - 2*s**5 + 3 - 7*s**5 wrt s.
-360*s**3 + 78*s
What is the derivative of -214*j**4 - 179*j**4 - 430*j**4 - 460 - 231 - 2 wrt j?
-3292*j**3
Suppose 4*f = -3*q + 1 + 6, q + 1 = -2*f. What is the second derivative of 7*b - q*b**5 - 10*b**5 + 3*b wrt b?
-380*b**3
What is the second derivative of -84*v + 153*v**2 - 151*v + 5*v wrt v?
306
Let m(x) be the second derivative of -9*x**5/5 - 5*x**4/12 - 17*x**3/6 + 2*x + 26. What is the second derivative of m(u) wrt u?
-216*u - 10
Differentiate 1064*g**3 - 1064*g**3 - 129*g**4 + 42 with respect to g.
-516*g**3
Suppose 4*d + 8 = 20. Let b(l) be the first derivative of -1/4*l**4 - 1/2*l**2 - 1 + 0*l**d + 0*l. What is the second derivative of b(s) wrt s?
-6*s
Let x(t) = -t**2 + 247*t. Let q(n) = 494*n. Let p(l) = 3*q(l) - 7*x(l). What is the second derivative of p(d) wrt d?
14
Suppose 0 = -8*x + 11*x + 21. Let l(t) = t**3 + 7*t**2 + 10. Let o be l(x). Find the third derivative of -o*g**4 - 3 + 4*g**2 + 3 + 4*g**4 wrt g.
-144*g
Suppose -5 + 3 = -n, -5*s = -5*n - 20. What is the second derivative of -1 - 8*w - 13*w**2 - 5 + s wrt w?
-26
Let d = -7 + -3. Let l = d - -10. What is the second derivative of 0 + 0 - 2*v + l*v - v**3 wrt v?
-6*v
Suppose 10 = 5*a + 2*g, -4*a - 3*g = 4 - 12. Find the first derivative of -62 - 11*p**2 + 2*p**a + 55 wrt p.
-18*p
Let l be -4*(-3 + 2) - 1. Find the third derivative of -7*i**2 + 7*i**3 - 5*i**3 + 12*i**l wrt i.
84
Let x = 643/24690 - -6/823. Let k(l) be the third derivative of 0*l**5 + 0*l + 5/6*l**3 + 14*l**2 + 0 - x*l**6 + 0*l**4. Differentiate k(q) with respect to q.
-12*q**2
Suppose -7*s = -10*s + 6. What is the third derivative of 3*u**3 - 15*u**s - 3*u**3 + 0*u**3 + 3*u**3 wrt u?
18
Find the third derivative of 849*d**2 - 3*d**6 + 5*d**6 + 0*d**6 - 249*d**5 - 511*d**2 wrt d.
240*d**3 - 14940*d**2
Let n(c) be the first derivative of 1/2*c**2 - 16/3*c**3 - 35 + 5*c. Find the second derivative of n(d) wrt d.
-32
Let i(l) be the second derivative of 11*l**5/4 + l**4/4 + 23*l**2/2 + 504*l. Differentiate i(w) with respect to w.
165*w**2 + 6*w
Suppose -2*s = 4*r - 24, -4*r = -r - 3*s. Suppose -10 = -r*t + 6. Differentiate -3*d**4 - t*d**4 - 8 + 18*d**4 - 2 with respect to d.
44*d**3
Differentiate 37*q - 105*q + 39*q + 82 with respect to q.
-29
Let v(q) be the second derivative of 5*q**8/56 + 2*q**6/15 + 25*q**4/4 + 106*q. Find the third derivative of v(u) wrt u.
600*u**3 + 96*u
Find the third derivative of 1202 - 599 - 603 - 572*s**3 - 211*s**2 wrt s.
-3432
Let x(d) = -11*d**2 - 11*d + 26. Let l(w) = -21*w**2 - 21*w + 57. Let y(p) = -6*l(p) + 11*x(p). Find the first derivative of y(o) wrt o.
10*o + 5
Let n(y) = 4*y. Let i(m) = -m - 1. Let d(j) = j**2 - 7*j + 8. Let c be d(6). Let o(l) = c*i(l) + 2*n(l). What is the first derivative of o(t) wrt t?
6
Suppose -3 = -2*y + 3. What is the third derivative of -y*w**2 + 0*w**2 + 0*w**2 - 12*w**6 + 5*w**2 wrt w?
-1440*w**3
What is the first derivative of -128*s - s**2 - 593 - 8*s**2 + 2*s**2 - 187 + 5*s**2 wrt s?
-4*s - 128
What is the second derivative of 418*n**5 - 201*n**5 - 10*n + 10 + 2*n wrt n?
4340*n**3
Let r(x) = x**2 - 5*x + 10. Let f be r(4). Suppose 14 = 5*p - f. What is the first derivative of l**2 - 4 - l - p*l + 5*l wrt l?
2*l
Let q(z) be the first derivative of 7*z**6/2 + 2*z**3/3 - z**2/2 - 178. Find the third derivative of q(j) wrt j.
1260*j**2
Let s(x) = x**3 + 11*x**2. Let m be s(-11). What is the third derivative of m*j**4 - 159 - 9*j**2 + 3*j**4 + 159 wrt j?
72*j
What is the second derivative of 78*z**5 + 197*z + 0*z**5 + 1 - 1 - 19*z wrt z?
1560*z**3
Suppose -i = -2*b + 5, -b = -3*b - 3*i + 1. Find the third derivative of 23*p**b - 3743*p**4 + p - p + 3754*p**4 wrt p.
264*p
Let f = -62 + 67. Find the third derivative of 5*h**f + 3*h**2 + 14*h**5 + 16*h**2 wrt h.
1140*h**2
Find the second derivative of 60*f + 0*f**3 + f**3 + 0*f**2 - f**2 + 89*f + 2*f**3 wrt f.
18*f - 2
Let r(h) = h - 1. Let w be -1 - (3 + -4 - 7). Let j be r(w). What is the second derivative of -15*t**4 + 12*t**4 - j*t + 0*t wrt t?
-36*t**2
Find the second derivative of -8*d**4 + 195 + 2*d**4 - 26*d**3 - 4*d**4 + 34*d**3 + d wrt d.
-120*d**2 + 48*d
What is the third derivative of -3*m + m**6 + 13*m**5 + 71*m**3 + 38*m + 0*m**6 + 4*m**2 - 71*m**3 wrt m?
120*m**3 + 780*m**2
Let h(p) = -2*p**5 + 4*p**4 + 206*p**3 + 37*p**2 - 12*p. Let r(w) = -w**4 - w**3 + 3*w. Let j(u) = -h(u) - 4*r(u). What is the third derivative of j(t) wrt t?
120*t**2 - 1212
Let d(a) be the third derivative of -a**6/120 - 11*a**5/60 + a**4/6 - a**3/3 - 5*a**2 + a. Find the second derivative of d(h) wrt h.
-6*h - 22
Let o(m) be the second deri