 + 2
Let s(k) = k**2. Let v(i) = -3*i**2 - 7*i. Let u be ((-4)/(-6))/(2/(-3)). Let d(f) = u*v(f) + 5*s(f). What is the second derivative of d(a) wrt a?
16
Let c(j) = 883*j**3 + 11*j**2 + 47*j - 41. Let w(b) = -590*b**3 - 7*b**2 - 31*b + 28. Let z(o) = 5*c(o) + 8*w(o). Find the second derivative of z(x) wrt x.
-1830*x - 2
Find the third derivative of -32*i - 2*i**5 - 13396*i**2 - 19*i - i**4 + 13392*i**2 + i**4 wrt i.
-120*i**2
Let g(a) be the first derivative of -7*a**6/120 - a**4/12 + 7*a**2/2 - 6. Let k(m) be the second derivative of g(m). Find the second derivative of k(z) wrt z.
-42*z
Let n = 3 + -3. Let i = n + 0. Find the third derivative of -4*a**2 - a**3 - 3*a**3 + i*a**3 wrt a.
-24
Let w(n) be the third derivative of 0 + 0*n**3 - 1/2*n**5 + 0*n - 41*n**2 - 7/24*n**4. What is the second derivative of w(j) wrt j?
-60
Let y(z) = 8 + 3 - 4*z - 1 + 34*z**3 + 4*z**2. Let l(m) = -69*m**3 - 9*m**2 + 9*m - 19. Let n(b) = -4*l(b) - 9*y(b). Find the first derivative of n(s) wrt s.
-90*s**2
Let b(h) = 1. Let g(a) be the first derivative of -7*a**4/4 - 11*a**2/2 - 5*a + 4. Let r(z) = -5*b(z) - g(z). Find the second derivative of r(y) wrt y.
42*y
Let c(u) be the second derivative of -59*u**6/30 + 23*u**2 + 37*u. Differentiate c(v) wrt v.
-236*v**3
Let b(k) be the first derivative of 0*k**5 + 0*k**6 + 0*k**2 + 0*k + 0*k**4 - 9*k**3 + 29/7*k**7 - 23. Find the third derivative of b(u) wrt u.
3480*u**3
Let g(v) = v**4 - v**3 - v**2 - v - 1. Let l(u) = 21*u**4 + 6*u**3 + 3*u**2 + 9*u + 9. Let o(f) = -9*g(f) - l(f). Find the third derivative of o(y) wrt y.
-720*y + 18
Suppose p = -d + 8, -2*p - 3*p + 12 = -2*d. What is the third derivative of 0*j - d*j**4 + 0*j + 0*j**4 + 4*j**2 wrt j?
-96*j
Let x(i) be the third derivative of -i**7/105 + i**5/60 - i**4/12 - 13*i**3/6 + 69*i**2. Find the second derivative of x(d) wrt d.
-24*d**2 + 2
Let c(a) be the first derivative of 2*a**3/3 - 142*a + 38. Differentiate c(x) wrt x.
4*x
Let h(q) be the first derivative of 42*q**5/5 + 241*q**3/3 + 15. Find the third derivative of h(u) wrt u.
1008*u
Let r(f) be the third derivative of -4*f**7/35 - f**6/60 + 401*f**5/60 + 21*f**2. What is the third derivative of r(g) wrt g?
-576*g - 12
Let g(l) be the first derivative of l**6/12 + l**4/4 + 13*l**2/2 + 5. Let b(w) be the second derivative of g(w). What is the second derivative of b(q) wrt q?
60*q
Suppose -5*v - 24 = 6. Let a be (18/12)/(v/(-56)). Find the third derivative of -6*d**2 + d**2 + 13*d**2 + a*d**6 wrt d.
1680*d**3
Let k(u) be the third derivative of 11*u**7/10 - 11*u**4/24 + 5*u**3/2 - 39*u**2 + 2*u. What is the second derivative of k(g) wrt g?
2772*g**2
Suppose 4*r - 51 - 53 = 0. Differentiate r - n**4 + 22*n**2 - 4*n**2 - 10*n**2 with respect to n.
-4*n**3 + 16*n
Let u(z) = z**4 + 5*z**2 - 15*z - 148. Let j(v) = v**4 + 3*v**2 - 8*v - 74. Let b(r) = 5*j(r) - 3*u(r). What is the first derivative of b(q) wrt q?
8*q**3 + 5
Let y(d) be the third derivative of 0*d**3 + 1/4*d**4 + 0*d**5 - 1/30*d**6 + 0*d - 3*d**2 + 0. Find the second derivative of y(i) wrt i.
-24*i
What is the third derivative of -1020*m**2 + 163*m**2 + m**3 + 2*m**5 + 34*m**3 + 32*m**3 - 13*m**3 wrt m?
120*m**2 + 324
Let v(d) = d**3 - 5*d**2 - 6*d + 9. Let c be v(6). Suppose -14*n + 45 = -c*n. Find the second derivative of -12*u**5 + n*u + 2*u**5 + u**5 wrt u.
-180*u**3
Let b(f) = -53*f**4 + f**3 - 17*f**2 - 103*f + 5. Let x(h) = 3*h**2 + h - 1. Let l(m) = b(m) + 5*x(m). Find the third derivative of l(t) wrt t.
-1272*t + 6
Let t(z) = -78*z**5 - 5*z**2 - 2*z + 3. Let q(c) = -39*c**5 - 2*c**2 - c + 1. Let k(f) = 5*q(f) - 2*t(f). Find the second derivative of k(j) wrt j.
-780*j**3
Let t(k) be the second derivative of -11*k**6/10 + 67*k**4/6 + 110*k. Find the third derivative of t(j) wrt j.
-792*j
Find the first derivative of -19 + 169*i - 340 + 444*i - 22*i + 1053 wrt i.
591
Let d be 1*-2 - -65 - (7 + -3). Find the third derivative of -34*n**2 + 0*n**2 - 36*n**5 + d*n**2 wrt n.
-2160*n**2
Let u be 62/5 + 14/(-35). What is the second derivative of -23*w - 365*w**3 + 365*w**3 + u*w**4 wrt w?
144*w**2
Let j = -23 + 33. Let w(a) = 6*a**2 + 8. Let z(f) = -2*f**2 - 3. Let c(d) = j*z(d) + 3*w(d). Find the first derivative of c(b) wrt b.
-4*b
Let z(f) be the first derivative of -153*f**4/4 - 118*f**3/3 - f**2 + 158. Find the third derivative of z(w) wrt w.
-918
Suppose w + 4*q + 0*q = 16, 2*q + 80 = 5*w. Find the second derivative of -29*b**5 - 16 + 31*b + w wrt b.
-580*b**3
Let g(a) be the third derivative of 0 + 14*a**2 + 0*a + 0*a**6 + 0*a**5 - 5/3*a**3 + 0*a**4 + 1/30*a**7. What is the first derivative of g(f) wrt f?
28*f**3
Let r(k) = 461*k**3 - 156*k**2 - 3*k + 4. Let h(v) = 461*v**3 - 157*v**2 - 4*v + 5. Let j(i) = 4*h(i) - 5*r(i). What is the third derivative of j(d) wrt d?
-2766
Let z = 113/30 - 1/10. Let o(v) be the first derivative of -z*v**3 - 5*v + 0*v**2 - 3. Differentiate o(p) with respect to p.
-22*p
Suppose -9*x - 22 = -11*x. Let m(s) = -4*s - 1. Let f be m(-1). What is the second derivative of x + 7*j**f - 11 - 7*j wrt j?
42*j
Let h(p) = 39*p**2 + 42*p. Let l(f) = -133*f**2 - 210*f - 12*f**2 - 49*f**2. Let w(c) = -11*h(c) - 2*l(c). What is the second derivative of w(u) wrt u?
-82
Let x(s) = -261*s**2 - 6*s + 75. Let u(r) = -523*r**2 - 16*r + 151. Let g(p) = -2*u(p) + 5*x(p). What is the second derivative of g(t) wrt t?
-518
Let a(u) be the third derivative of u**6/60 + 3*u**5/4 - 409*u**4/24 - u**2 + 26. Find the second derivative of a(j) wrt j.
12*j + 90
Suppose -3*a + 36 - 27 = 0. What is the first derivative of 5*l**4 - 14 - 3*l**4 + 186*l**a - 221*l**3 wrt l?
8*l**3 - 105*l**2
Suppose -c + 4*i = 0, -4*c - 5*i = c. Suppose 5*b = 20 - c. Find the second derivative of -2*m - 2*m**b + 2*m**4 + 0*m**4 - 3*m**4 wrt m.
-36*m**2
Suppose 5*v - 15 = -0*v. Find the third derivative of -3*c**3 - 18*c**v - 4*c**2 + 11*c**2 wrt c.
-126
Let x = -732 - -735. Let d(n) be the first derivative of 0*n**4 + 0*n**x + 6 - 7/2*n**2 + 9/5*n**5 + 0*n. What is the second derivative of d(m) wrt m?
108*m**2
Find the third derivative of 323*i - 152*i + 136*i**3 - 171*i + 3*i**2 - 61 + 38*i**3 wrt i.
1044
Find the second derivative of -16*z**2 + 54*z - 15*z**2 + 33*z**2 - 2*z**3 wrt z.
-12*z + 4
Let l(r) be the second derivative of 0*r**2 + 18*r + 0 + 0*r**5 + 0*r**3 + 2/3*r**4 + 7/30*r**6. What is the third derivative of l(p) wrt p?
168*p
Let v(d) be the first derivative of -17/2*d**2 + 0*d**3 + 0*d**4 - 10 + 0*d - 5*d**5. Find the second derivative of v(u) wrt u.
-300*u**2
Let i = -14 + 25. Suppose 0 = -f - 4*a + 19, 5*f = 3*a - 2*a + i. Find the third derivative of -7*o**2 - 9*o**3 + 4*o**f + 2*o**2 wrt o.
-30
What is the first derivative of -5*t + 18 - 11 - 43 - 6*t**3 wrt t?
-18*t**2 - 5
Suppose 3 + 1 = s. What is the derivative of 9 - s + 12*v - 2 wrt v?
12
Find the first derivative of 400 + 6*k + 109*k + 232*k wrt k.
347
Find the third derivative of -153192*d + 316*d**5 - 377*d**2 + 153192*d wrt d.
18960*d**2
Let r = 34 + -34. What is the first derivative of -4*i + r + 4*i + 1 - 9*i**3 wrt i?
-27*i**2
Let l(d) be the third derivative of 19*d**5/30 - d**4/24 + 2*d**3 + 92*d**2. What is the second derivative of l(x) wrt x?
76
Suppose 0*y + 5*y = -4*i + 130, 85 = 3*y + i. Find the third derivative of -y + 16 + 16*w**6 + 14 + 8*w**2 wrt w.
1920*w**3
Suppose -2*h = 4*q - 118, 0*h + 149 = 5*q + 2*h. What is the second derivative of -10*o**3 + 104*o - 22*o - 27*o - q*o wrt o?
-60*o
Let i = 117 + -117. Let h(t) be the second derivative of t + 0 + 0*t**3 + 1/20*t**5 - 2*t**2 + i*t**4. Differentiate h(m) with respect to m.
3*m**2
Let o(d) = 22*d + 4. Let b = -20 + 23. Let t(h) = -43*h - 9. Let q(w) = b*t(w) + 5*o(w). What is the first derivative of q(f) wrt f?
-19
Let b(u) = -3*u**3 - u**2 + 4*u - 127. Let w(f) = 3*f**3 - 6*f + 127. Let c(p) = 3*b(p) + 2*w(p). Differentiate c(s) with respect to s.
-9*s**2 - 6*s
What is the second derivative of 0*b + 123*b**5 - 20 - 2*b + 4*b wrt b?
2460*b**3
What is the third derivative of -22*l**2 + 15*l**3 + 17*l**2 + l**3 - 87*l**2 wrt l?
96
Let l(v) = 63*v**2 - 123*v - 18. Let h(o) = -2*o + 1. Let t(a) = 18*h(a) + l(a). What is the second derivative of t(j) wrt j?
126
Let g(t) be the first derivative of 22*t**3/3 - 77*t**2/2 + 71.