6*u**2 - 31*u + 7. Let d(v) = -127*v**3 + 7*v**2 + 31*v - 8. Let r(b) = 6*d(b) + 7*o(b). Find the second derivative of r(y) wrt y.
804*y
Let d(q) be the second derivative of 0*q**4 - 13/2*q**2 + 3*q + 0 + 0*q**3 - 2/5*q**6 + 0*q**5. What is the first derivative of d(u) wrt u?
-48*u**3
Suppose 2*p = 20 - 4. Find the second derivative of 32*i**2 - p*i - 6*i**5 - 32*i**2 wrt i.
-120*i**3
Let z(v) be the second derivative of -v**7/21 + v**4/3 - v**3/3 + 217*v**2/2 - 269*v. Find the second derivative of z(g) wrt g.
-40*g**3 + 8
Let v(b) be the second derivative of -b**5/10 - 35*b**4/6 - 51*b**3/2 - 153*b. What is the second derivative of v(r) wrt r?
-12*r - 140
Let v(q) be the second derivative of 28*q**4/3 + 7*q**3 + q**2/2 + 2*q - 72. What is the second derivative of v(s) wrt s?
224
Let s(w) = 90*w**3 - 4*w**2 - 65. Let k(f) = -181*f**3 + 10*f**2 + 129. Let h(t) = 2*k(t) + 5*s(t). Differentiate h(x) with respect to x.
264*x**2
Let k(v) = v**2. Let x(q) = -376*q**3 - 5*q**2 - 241. Let u(z) = -5*k(z) - x(z). Differentiate u(l) with respect to l.
1128*l**2
Let d(l) = 13*l**3 - 11*l - 1. Let o(m) = -3*m**3 + 3*m. Let q be ((-88)/6)/(-5 + 26/6). Let c(u) = q*o(u) + 6*d(u). What is the first derivative of c(v) wrt v?
36*v**2
Suppose 53 = 4*i + 13. Find the second derivative of 32 - 21*c - 32 + i*c**5 + 3*c**5 wrt c.
260*c**3
Find the first derivative of 124 - 13 + 40*u - 21*u - 21*u - 3*u**2 + 13*u**2 wrt u.
20*u - 2
Let c be ((-6)/36)/((-2)/12). Suppose 5*n + x + 2*x - 7 = 0, 0 = 3*n - 2*x - 8. Differentiate 3*l - 2*l - n*l - c - 2*l wrt l.
-3
What is the third derivative of 3 + 24*c**2 - 2*c**4 - 47*c**5 - 3 - 1 - 32*c**2 wrt c?
-2820*c**2 - 48*c
What is the second derivative of -4*p + 22 + 1 + 211*p**4 - 5 + 2 + 0*p**4 wrt p?
2532*p**2
Let i(d) be the third derivative of 63*d**5/10 - d**3 - 262*d**2. Differentiate i(l) with respect to l.
756*l
Let f be 2 + (3 - (0 - -3)). Let v(a) be the first derivative of 39*a**f - 6*a - 39*a**2 + 5 - a**3. Differentiate v(p) wrt p.
-6*p
Suppose 2*g = 6*g + 32. Let b(n) = -6*n**3 + 26*n - 5. Let c(q) = 9*q**3 - 39*q + 8. Let d(w) = g*b(w) - 5*c(w). Find the second derivative of d(u) wrt u.
18*u
Differentiate -55 - 29*w**4 - 59*w - 21 + 59*w wrt w.
-116*w**3
Suppose 54 = -5*o - 11. Let w = o + 18. Find the second derivative of 0*a**4 - 2*a**4 + 5*a - w*a - 6*a wrt a.
-24*a**2
Let s(l) = -2 + 33*l - 10 - 45 + 13*l. Let u(b) = 22*b - 29. Let c(f) = -4*s(f) + 9*u(f). Find the first derivative of c(w) wrt w.
14
Let u(x) = -431*x**3 - 253*x**2 + 2*x - 22. Let v(g) = 145*g**3 + 84*g**2 - g + 8. Let t(h) = -4*u(h) - 11*v(h). Find the third derivative of t(n) wrt n.
774
Let a(d) be the third derivative of -d**8/48 + d**7/10 + 241*d**5/60 - 105*d**2. Find the third derivative of a(w) wrt w.
-420*w**2 + 504*w
Let p(n) = -3*n**3 + 7*n - 3. Let b(d) = 4*d**3 - 6*d + 3. Let x(y) = y**2 - 21*y + 14. Let f be x(20). Let l(q) = f*p(q) - 7*b(q). Differentiate l(v) wrt v.
-30*v**2
Suppose 0 = 5*l - 3*d - 54 - 9, 0 = 2*l + d - 34. Differentiate 16*h**2 - 1 + l*h**2 - 28*h**2 with respect to h.
6*h
Let j be ((-3)/(-6))/((-3)/(-18)). Let s = j + -2. Differentiate 3*w + s - 3 - w wrt w.
2
Let h(z) be the first derivative of -z**8/840 - z**4/8 - 2*z**3/3 + 4. Let g(i) be the third derivative of h(i). What is the derivative of g(t) wrt t?
-8*t**3
Find the second derivative of 284*g**2 - 2*g + 2*g**3 - 284*g**2 - 2 - 22*g wrt g.
12*g
Let f(c) = 741*c**3 + 5*c**2 - 5*c + 824. Let z(p) = -742*p**3 - 6*p**2 + 6*p - 827. Let u(h) = -6*f(h) - 5*z(h). Differentiate u(l) with respect to l.
-2208*l**2
Let r = -447 - -8943/20. Let o(s) be the second derivative of 0*s**2 + 5*s + r*s**5 + 0 + 0*s**3 + 1/4*s**4. Find the third derivative of o(w) wrt w.
18
Let q(u) = -964*u**4 - 11*u**2 + 367. Let n(g) = -482*g**4 - 6*g**2 + 183. Let o(r) = 11*n(r) - 6*q(r). Find the first derivative of o(j) wrt j.
1928*j**3
Let z(n) be the third derivative of -3*n**7/35 - n**6/60 + 50*n**3/3 + 8*n**2 + 3. What is the derivative of z(v) wrt v?
-72*v**3 - 6*v**2
Let u(g) be the first derivative of 13*g**6/15 - 31*g**4/12 + 23*g - 25. Let y(h) be the first derivative of u(h). Find the third derivative of y(o) wrt o.
624*o
Let q(d) be the second derivative of -23*d**7/7 + 71*d**4/6 + 3*d + 31. Find the third derivative of q(m) wrt m.
-8280*m**2
Let h be 7/14 - 15/(-6). Differentiate 49*q**h + 4 + 8 - 23*q**3 with respect to q.
78*q**2
Let l(g) be the second derivative of g**7/42 + 17*g**5/60 - 15*g**2/2 - 16*g. Let j(i) be the first derivative of l(i). Find the third derivative of j(s) wrt s.
120*s
Let f(s) be the third derivative of -s**7/1680 - s**6/80 + s**5/12 - 12*s**2. Let a(d) be the third derivative of f(d). Differentiate a(u) with respect to u.
-3
What is the third derivative of -13*j**3 - 8104 - 18*j**2 + 8104 + j wrt j?
-78
Let b(a) be the second derivative of -181*a**8/56 + 14*a**4 + 176*a. Find the third derivative of b(y) wrt y.
-21720*y**3
Let w(j) be the first derivative of 23*j**2 - 64*j + 16. What is the derivative of w(g) wrt g?
46
Let v = -28 - -35. Suppose 2*a - 15 = -v. Differentiate -10*z**3 - 22*z**3 - a + 40*z**3 + 6 with respect to z.
24*z**2
Let i = -26 + 26. Let a(c) be the third derivative of 1/4*c**4 + i*c + 0 + 5*c**2 - 1/3*c**3. What is the derivative of a(k) wrt k?
6
Let z(x) = x**3 - 3*x**2 + 2*x - 2. Let d be z(2). Let u be 16/9 + d/(-9). Find the third derivative of 35*m + 3*m**u - m**3 - 35*m wrt m.
-6
Let c be 4/(-2) - ((6 - 6) + -8). Find the third derivative of 16*b**2 + 668*b**3 - 23*b**c - 668*b**3 wrt b.
-2760*b**3
Suppose -3*b + 6*b - 9 = -j, -3*j = -5*b + 29. Find the second derivative of 7*r**b - 3*r**2 - 15*r + 3*r**2 - 3*r**4 wrt r.
48*r**2
Let w(y) be the third derivative of 0*y**4 + 1/15*y**6 + 0*y + 7/3*y**3 + 0 - 53*y**2 + 1/20*y**5. Find the first derivative of w(t) wrt t.
24*t**2 + 6*t
What is the derivative of 241*o + 230 - 70*o + 204*o - 2*o - 41*o wrt o?
332
Let m(a) be the third derivative of 229*a**6/30 - a**5/10 - 23*a**3/2 + 6*a**2 + 12. Find the third derivative of m(w) wrt w.
5496
Let t(q) = q**3 - 4*q**2 - 8*q + 3. Let r be t(6). What is the derivative of 7 - 21 + r*k**3 + 9 + 8 wrt k?
81*k**2
Let k(y) be the second derivative of 147*y**5/20 + 665*y**2/2 - 24*y - 1. What is the first derivative of k(l) wrt l?
441*l**2
Suppose -16 - 14 = -5*o. What is the derivative of 10*f + 31 + o - 57 wrt f?
10
Let f(l) = -2*l**4 + 5*l**3 - 6*l**2 + 102*l - 6. Let n(q) = q**3 + q**2 + q + 1. Let o(c) = f(c) + 6*n(c). Find the second derivative of o(r) wrt r.
-24*r**2 + 66*r
Let r(v) = -9*v**2 + 123*v - 467. Let k(l) = -7*l**2 + 124*l - 467. Let q(i) = 4*k(i) - 3*r(i). Differentiate q(u) with respect to u.
-2*u + 127
Suppose 0 = 1283*z - 1292*z + 36. Let r = 1 - -5. What is the second derivative of w**3 + 12*w - r*w - z*w**3 wrt w?
-18*w
Let f(m) = -73*m - 70. Let l(j) = 75*j + 69. Let k(c) = -2*f(c) - 3*l(c). What is the first derivative of k(u) wrt u?
-79
Let t = 17 + -13. What is the second derivative of -2*k**2 - 2*k**2 - 7*k + 2*k**4 + t*k**2 wrt k?
24*k**2
Let w(x) = 5*x**3 + 9*x**3 - 71*x**2 + 76*x**2 + 30. Let b(y) = -7*y**3 - 2*y**2 - 15. Let l(r) = -5*b(r) - 2*w(r). Differentiate l(v) wrt v.
21*v**2
Find the second derivative of 8*p**2 - 87*p - p**3 + 121*p + 234*p + 164*p + p wrt p.
-6*p + 16
Let l(v) be the first derivative of 16 - 5/7*v**7 + 0*v**2 + 0*v**6 + 0*v**4 - 4*v**3 + 0*v + 0*v**5. What is the third derivative of l(t) wrt t?
-600*t**3
Find the first derivative of 0*p**2 + 0*p**2 + 7*p - 102 + 13300*p**3 - 13295*p**3 wrt p.
15*p**2 + 7
Let t(l) be the second derivative of 71*l**5/20 - 17*l**2/2 + 25*l. Differentiate t(j) wrt j.
213*j**2
Let s(g) = -2*g**2 - 5*g - 18. Let c = -12 + 7. Let q(k) = k**2 - k. Let l(u) = c*q(u) + s(u). Differentiate l(x) with respect to x.
-14*x
Suppose 3*j + 4*u = -4 + 14, 5*j = u + 9. What is the second derivative of -15*q**j + 12 + 5*q - 12 wrt q?
-30
Let i(v) = 14*v - 3*v - 14 - 6*v - 22*v. Let j(n) = 9*n + 7. Let f(a) = 4*i(a) + 9*j(a). What is the first derivative of f(q) wrt q?
13
What is the second derivative of -16*g**3 + 94*g**3 - 116*g + 101*g**3 - 38*g**3 wrt g?
846*g
Let a(o) = o. Let c(j) be the second derivative of -4*j**3 - 12*j**2 + 35*j. Let r(h) = 12*a(