= 19*t**4 + 4*t**2 + 72*t - 4. Let o(i) = -56*i**4 - 11*i**2 - 217*i + 11. Let c(k) = -11*h(k) - 4*o(k). Find the second derivative of c(f) wrt f.
180*f**2
Let k be 1/(1 - 15/20). What is the second derivative of -g**4 - 5*g**4 + 6*g**4 + 23*g + 12*g**k wrt g?
144*g**2
Let s(w) be the second derivative of -w**5/20 - 2*w + 26. Suppose 0*h + 9 = -3*h. Let k(y) = 4. Let m(o) = h*s(o) - k(o). Differentiate m(i) with respect to i.
9*i**2
Let z(k) be the second derivative of k**7/2 - 4*k**6/15 - 53*k**3/2 + 5*k - 35. Find the second derivative of z(q) wrt q.
420*q**3 - 96*q**2
What is the derivative of -182 + 53*c - 115*c - 130*c - 173*c wrt c?
-365
Let s(u) be the third derivative of u**7/105 - u**6/120 - 9*u**5/20 - u**3/3 - 30*u**2. What is the third derivative of s(x) wrt x?
48*x - 6
Let a(s) = -s**2 + 27*s - 23. Let o(z) = -5*z**2 + 107*z - 92. Let c(u) = 9*a(u) - 2*o(u). Differentiate c(q) wrt q.
2*q + 29
Differentiate 8 + 41*s**2 - 26 - 14 wrt s.
82*s
Let p be ((-15)/(-20))/(9/24). What is the third derivative of 463*m**2 + 9*m**5 - 221*m**2 - 233*m**p wrt m?
540*m**2
What is the third derivative of -18*d**3 - 39 + d**2 + 18*d**3 - 220*d**4 + 11 wrt d?
-5280*d
Let m = -2 - -4. Suppose -4*l + 12 = 5*v, -3*l + m*l - 22 = -5*v. What is the second derivative of 3*k**3 + k - v*k**3 - 4*k**3 wrt k?
-30*k
Let p(t) be the first derivative of -t**6/3 - 3*t**3 - 22*t**2 - 6. Find the second derivative of p(y) wrt y.
-40*y**3 - 18
Let h(k) = -45*k**2 + 6. Let v(o) = -2 - 1 + 10*o**2 - 9*o**2 + 21*o**2. Let a(b) = -4*h(b) - 9*v(b). Differentiate a(d) with respect to d.
-36*d
Let a(w) = -8*w**3 - 2*w**2 - 3*w - 7. Let k(t) = -9*t**3 - 4*t**2 - 4*t - 8. Let b(p) = 4*a(p) - 3*k(p). Find the third derivative of b(h) wrt h.
-30
Let o(n) = n**2 - 2*n + 1. Let b be o(1). Suppose 6 = 3*f - b. Find the first derivative of -f - 3*h + h + 3*h + 0 wrt h.
1
What is the first derivative of -61 - 164 + 5*r + 34*r + 2 - 6*r wrt r?
33
Suppose 3*b - 1 = 8. Let g(r) = 24*r**2 + 3*r - 15. Let s(x) = x. Let f(j) = b*s(j) - g(j). What is the derivative of f(a) wrt a?
-48*a
What is the first derivative of -3*a**2 + 14*a**4 + 94 - 17*a**4 + a**4 wrt a?
-8*a**3 - 6*a
Suppose 2*m = 5*c - 0*m - 770, -c - 3*m = -137. Find the second derivative of 3*t + 147*t**3 - c*t**3 + t wrt t.
-30*t
Let d(v) be the third derivative of -8*v**2 + 17/60*v**5 - 7/8*v**4 + 0*v**3 + 0 + 0*v. What is the second derivative of d(f) wrt f?
34
Let m(o) be the third derivative of 3*o**8/1120 - o**5/15 + o**4/8 + 6*o**2. Let n(k) be the second derivative of m(k). Differentiate n(a) wrt a.
54*a**2
Let q(p) be the second derivative of 0*p**4 - 53/20*p**5 - 3/2*p**2 - 2*p - p**3 + 18. What is the second derivative of q(a) wrt a?
-318*a
Let u = -7 - -32. Find the third derivative of -4*w**4 + 37*w**2 + 4*w**4 + u*w**6 + 16*w**6 wrt w.
4920*w**3
Let d be 2/(0 + -2)*-5. Let z = -496 + 499. What is the third derivative of -3*i**5 - i**3 - i**d + i**z + 9*i**2 wrt i?
-240*i**2
Differentiate -12*w + 66*w + 70*w - 48 - 49 wrt w.
124
Suppose -3*r = -2*y + 28, -4*y - 52 = 3*r - 0*r. Let n(h) = h**2 + 12*h + 8. Let s be n(r). What is the third derivative of -11*u**2 + 5*u**5 - s*u + 8*u wrt u?
300*u**2
Suppose 32 = 7*s - 10. What is the third derivative of -s*z**2 + 8*z**2 - 4*z**5 - 2*z**5 wrt z?
-360*z**2
Let y(a) be the first derivative of -110*a**7/7 - 142*a**3/3 - a**2/2 + 169. Find the third derivative of y(c) wrt c.
-13200*c**3
Let n(w) be the third derivative of -w**8/56 - 2*w**7/105 + w**4/6 + 5*w**3/2 - 25*w**2. What is the second derivative of n(l) wrt l?
-120*l**3 - 48*l**2
Let x(l) be the first derivative of -2*l**5 + 3*l**4/4 - l**3 - 22*l - 143. Find the third derivative of x(k) wrt k.
-240*k + 18
Find the second derivative of 0*b + 370*b**2 - 22*b + 67*b wrt b.
740
Find the third derivative of 289*d**5 - 44*d**6 + d - 42*d**6 - 289*d**5 + 12*d**2 wrt d.
-10320*d**3
Find the third derivative of 349*q**3 + 132*q**2 + 112*q**2 - 702*q**2 - 182*q**2 wrt q.
2094
Let q(x) be the first derivative of -13 + 13/2*x**2 + 9*x. What is the derivative of q(c) wrt c?
13
Let c(b) be the first derivative of -41*b**6/120 + b**5/12 - 15*b**2/2 + 22. Let o(j) be the second derivative of c(j). Find the third derivative of o(d) wrt d.
-246
Let v(m) = -74*m + 79. Let s be v(1). Let c(w) be the first derivative of -s + 8/3*w**3 + 0*w**2 - 7*w. Differentiate c(h) with respect to h.
16*h
Suppose 13*v = -13*v. Let j(a) be the second derivative of 0*a**2 + 0 + 1/6*a**4 + v*a**3 - 6*a - 1/4*a**5. What is the third derivative of j(t) wrt t?
-30
Let m be 9 - (0 - -6 - 0). Let w(a) be the second derivative of a**2 - a + 1/6*a**4 + 0 + 0*a**m. What is the first derivative of w(i) wrt i?
4*i
Suppose -q + 2*p = -6, 5*q - 4*p - 40 = q. Differentiate -4 - 2*h**3 + 6*h**3 - 1 - q*h**3 wrt h.
-30*h**2
Let v(s) be the second derivative of 19*s**4/3 - 38*s**2 - 97*s. Differentiate v(x) with respect to x.
152*x
Let y(l) be the second derivative of -l**7/30 + 5*l**4/8 - 5*l**2/2 + 7*l. Let b(t) be the first derivative of y(t). Find the second derivative of b(u) wrt u.
-84*u**2
Let j = -22/31 + 657/620. Let b(n) be the second derivative of 3*n + 0*n**2 + 1/2*n**3 + 0 + 0*n**4 - j*n**5. Find the second derivative of b(d) wrt d.
-42*d
Let x(w) = 1037*w**4 - 17*w**3 - 195*w**2. Let u(m) = -345*m**4 + 6*m**3 + 65*m**2. Let i(y) = -17*u(y) - 6*x(y). What is the third derivative of i(h) wrt h?
-8568*h
Let n(g) = -39*g**4 + 5*g**3 + 4*g**2 - 64*g - 2. Let b(f) = -f**4 - f**3 - f**2. Let x(t) = -4*b(t) - n(t). What is the second derivative of x(l) wrt l?
516*l**2 - 6*l
Let u(p) be the first derivative of -2*p**5/5 + 293*p**3/3 - 326*p**2 - 391. What is the second derivative of u(j) wrt j?
-24*j**2 + 586
What is the second derivative of -544*s**2 + 509*s**2 - 2*s + 1 - 2*s wrt s?
-70
Suppose -4*n + 83 = 15. What is the second derivative of -5*b + 3*b + n*b**2 - 4*b**2 wrt b?
26
Let v = 133/45 + -23/9. Let o(d) be the first derivative of 0*d - 5/3*d**3 - v*d**5 + 7 + 0*d**4 + 0*d**2. Find the third derivative of o(s) wrt s.
-48*s
Suppose 0 = t + 5*g - 5, 0 = -2*t - 3*g - g + 10. Suppose 0*o - 2*w = -5*o + 23, 4*o - 24 = 3*w. Find the first derivative of -4 - t + 8 + 5*u**o wrt u.
15*u**2
Let p(x) be the third derivative of 3*x**8/112 + 2*x**7/105 - 31*x**5/30 - x**3/6 + 148*x**2. Find the third derivative of p(s) wrt s.
540*s**2 + 96*s
Let j(x) = -x**3 + 185*x**2 - 20*x. Let m(g) = 2*g**3 - 372*g**2 + 42*g. Let f(b) = -5*j(b) - 3*m(b). What is the second derivative of f(s) wrt s?
-6*s + 382
Let w(d) be the first derivative of -13/2*d**2 + 17*d - 6. What is the first derivative of w(m) wrt m?
-13
Let y(r) = -33*r - 3. Let n(f) be the second derivative of 11*f**3/3 + f**2 + 11*f. Let x(o) = 7*n(o) + 5*y(o). Differentiate x(a) wrt a.
-11
Let x(t) = t + 1. Let d be x(6). Let a(l) = l**2 - l + 9. Let z be a(0). What is the second derivative of 6*o + d*o - o**2 - z*o + 5*o wrt o?
-2
Let l(c) = 5*c + 8. Let q be l(2). What is the third derivative of -4*t**2 - t**2 - q*t**3 + 34*t**3 wrt t?
96
Let l be (-2)/(-1)*10/4. Suppose -b + l*u = 0, 0*b - u = 2*b - 11. Find the second derivative of 8*t - 3*t + 62*t**5 - 51*t**b wrt t.
220*t**3
Suppose 0 = -2*a - a - l + 17, -3*a - 13 = -5*l. Suppose -a*s - 2*z + 10 = 0, -3*s + 17 = 2*s + z. Differentiate -8*y - 4 + 10 + s wrt y.
-8
Let s be (76/57)/((-4)/(-6)). What is the third derivative of -10*k**5 + 5*k + 28*k**s - 5*k wrt k?
-600*k**2
Suppose -18 + 8 = -5*u. Let r = -23 - -30. Find the first derivative of 0*t**2 - 4*t**2 - r + 2*t**u wrt t.
-4*t
Let i(j) = -39*j**3 - 7*j**2 - 7*j + 35. Suppose 25 - 3 = 11*p. Let f(w) = 13*w**3 + 2*w**2 + 2*w - 12. Let k(u) = p*i(u) + 7*f(u). Differentiate k(n) wrt n.
39*n**2
Let w(f) = -2*f**2 - 28*f + 56. Let r(y) = -y**2 - 9*y + 18. Let n(i) = -8*r(i) + 3*w(i). Differentiate n(q) wrt q.
4*q - 12
Let g(m) = -m**4 - m - 1. Let p = -746 + 752. Let k(w) = 0 + 0 + 15*w**4 + 6. Let r(f) = p*g(f) + k(f). Find the second derivative of r(t) wrt t.
108*t**2
Find the third derivative of 3*u**6 + 40*u**2 - 37*u**4 - 5*u**6 - 146*u**2 wrt u.
-240*u**3 - 888*u
Find the second derivative of 7*j - 13 - 7*j**4 + 2*j**4 + 1 + 3*j**2 + 11 wrt j.
-60*j**2 + 6
Let h be 18/(-12)*(-1 - 3). Suppose 0*w 