 - 2, 5*h = 3*x + 18. Find the first derivative of 162*w + 4 - 162*w - 10*w**h wrt w.
-30*w**2
Let y(k) = -197*k**3 + 9*k**2 + 20*k + 13. Let r(d) = -99*d**3 + 4*d**2 + 9*d + 6. Let f(n) = -9*r(n) + 4*y(n). What is the second derivative of f(m) wrt m?
618*m
Find the third derivative of -2 + 2 - 16*b**2 + 53*b**6 - 2 + 74*b**6 wrt b.
15240*b**3
Let h(t) = -656*t + 123. Let p(m) = -219*m + 39. Let c(x) = -4*h(x) + 11*p(x). What is the derivative of c(o) wrt o?
215
Suppose 18*s + 1 = 1. Let v(l) be the second derivative of s - 6*l + 0*l**3 - 1/2*l**4 - 7/2*l**2. What is the first derivative of v(q) wrt q?
-12*q
Let b be (11 - 13)*5/(-2). Suppose 0*t - 4*t + b*u + 15 = 0, -30 = -5*t - 5*u. Find the third derivative of -6*p**3 - 2*p**2 + 5*p**2 + 6*p**3 + 2*p**t wrt p.
120*p**2
What is the second derivative of -1392*w + 695*w + 674*w - 5 + 5*w**2 - 2*w**3 wrt w?
-12*w + 10
Let t(b) be the third derivative of 35*b**6/24 + b**5/60 - b**4/12 + 25*b**3/6 + 499*b**2. What is the second derivative of t(w) wrt w?
1050*w + 2
Let k(c) be the third derivative of 0*c + 0*c**3 + 21*c**2 + 0*c**4 + 0*c**6 - 1/30*c**5 - 2/105*c**7 + 0. What is the third derivative of k(o) wrt o?
-96*o
What is the second derivative of 480*q + 2 - 150*q - 165*q + 575*q**2 - 143*q - 58*q**2 wrt q?
1034
Let h(z) be the third derivative of 479*z**5/60 + 235*z**4/12 - 63*z**2. What is the second derivative of h(f) wrt f?
958
Let a(f) = f**2. Let m(j) = 9*j**2 + 18*j + 399. Let q(r) = 4*a(r) - m(r). Differentiate q(o) wrt o.
-10*o - 18
Let h(n) be the third derivative of 0*n**4 + 0*n**5 - 2*n**2 - 13*n + 41/6*n**3 + 2/15*n**6 + 0. Differentiate h(p) with respect to p.
48*p**2
Let k(n) = -2. Let u(j) = -359*j + 135. Let r(q) = -5*k(q) - u(q). Differentiate r(s) with respect to s.
359
Differentiate 107*n - 1216 + 265*n + 73*n + 1738 wrt n.
445
Let o(t) = -5*t + 8. Let z = 3 - 1. Suppose -z*k - 1 = 1. Let n(h) = -h**3 - h + 1. Let b(u) = k*o(u) + 5*n(u). Differentiate b(r) wrt r.
-15*r**2
Let y(q) be the second derivative of q**8/28 + 9*q**6/10 - q**4/12 + 40*q**2 - q + 71. What is the third derivative of y(i) wrt i?
240*i**3 + 648*i
What is the first derivative of -5*w**2 - 7921 + 7824 - 3*w**2 wrt w?
-16*w
Let d = -7 - -20. Let u = d - 11. Find the second derivative of m + u*m**3 + m + m**3 + 3*m**3 wrt m.
36*m
Let j(h) be the second derivative of 11*h**8/7 - h**4/6 + 9*h**2/2 - 7*h - 37. What is the third derivative of j(w) wrt w?
10560*w**3
Differentiate 39*u - 105*u + 37*u + 116 + 118*u with respect to u.
89
Let s(i) be the first derivative of i**7/105 - i**4/4 - 12*i**2 + 21. Let n(j) be the second derivative of s(j). What is the second derivative of n(a) wrt a?
24*a**2
Let s(a) = 27*a**3 - 2*a**2 + 2*a + 63. Let d(r) = -107*r**3 + 9*r**2 - 9*r - 252. Let z(p) = -2*d(p) - 9*s(p). Differentiate z(t) with respect to t.
-87*t**2
Let q(p) = -p**3 + 7*p**2 - p + 14. Let c be q(7). Find the second derivative of 4*s + 0*s**4 + 15*s**4 - c*s - s**4 wrt s.
168*s**2
Let j(k) = 5*k**4 - 95*k**3 - 12*k**2 + 8*k - 5. Let z(s) = s**4 - s**3 - 2*s**2 + s. Let t(b) = j(b) - 6*z(b). Find the second derivative of t(c) wrt c.
-12*c**2 - 534*c
Let d = -7 - -16. Let x(s) be the second derivative of 0 + 0*s**3 + 0*s**5 - 11/12*s**4 - 1/5*s**6 - d*s + 0*s**2. Find the third derivative of x(m) wrt m.
-144*m
What is the second derivative of 6 + 19*b**4 + 57*b**4 + 88*b - 6 - 278*b wrt b?
912*b**2
Suppose 4*i - i + 12 = 0. Let p be i/6*(-3 - 0). Find the third derivative of 6*n**4 - 2*n**4 - 2*n**p + 4*n**2 wrt n.
96*n
Let w(l) = -2*l**2 + 53*l - 103. Let k(x) = -x. Let d be k(-3). Let g(b) = -b**2 + 26*b - 51. Let p(c) = d*w(c) - 7*g(c). Differentiate p(v) with respect to v.
2*v - 23
Let x(j) be the first derivative of 25*j**4/12 + 5*j**3/6 - 35*j + 53. Let s(f) be the first derivative of x(f). What is the second derivative of s(y) wrt y?
50
Suppose 3 - 13 = -5*y. What is the second derivative of 0*h**2 + 5*h - 8*h**y + 23*h**2 wrt h?
30
Let m(p) = -p**3 - 9*p**2 - 7*p + 11. Let t be m(-8). Find the second derivative of 14*o + o**2 + t*o**2 - 3*o**2 - 5*o wrt o.
2
Let i be ((-32)/(-20) + -2)*-15. Suppose -q + 0*q = -i. Find the third derivative of -9*t**4 + 4*t**2 + 9*t**4 - t**q wrt t.
-120*t**3
Suppose z + 0*z - 20 = 0. What is the third derivative of 16*i**2 - z*i**5 + i**3 - i**3 wrt i?
-1200*i**2
Let x(o) = -4*o**2 - 24*o + 172. Let d(h) = 3*h**2 + 19*h - 172. Let m(n) = -5*d(n) - 4*x(n). Find the first derivative of m(a) wrt a.
2*a + 1
Let j(p) = -p**3 - 1. Let f(c) = 4*c**4 - 4*c**3 + 8*c - 4. Let l(t) = -f(t) + 4*j(t). Find the second derivative of l(q) wrt q.
-48*q**2
Find the third derivative of -364*v**2 - 381*v**2 + 820*v**2 + 196*v**3 wrt v.
1176
Let z(c) be the second derivative of -13*c**3/2 - 177*c**2/2 - 47*c. What is the derivative of z(v) wrt v?
-39
Let o be (0 + 0/(-2))/2. Suppose -u + x - 1 = o, 4*u = -4*x - x + 41. What is the third derivative of 2*r**2 + r**u - 4*r**4 + 3*r**2 wrt r?
-72*r
Let p be (-1)/(4/(3 + -363)). Suppose x = -x + p. Find the second derivative of 45*q**4 + 8*q**5 + q + 4*q - x*q**4 wrt q.
160*q**3
Let d(m) = -m**2 - m. Let c(n) = 357*n**3 + n**2 + 13*n. Let q(j) = -c(j) - 3*d(j). What is the third derivative of q(i) wrt i?
-2142
What is the third derivative of -67*d**3 - 31*d**2 + 30*d**2 - 78*d**2 - 44*d**2 + 18*d**3 wrt d?
-294
Let o(x) = -2*x + 1. Let j(d) = -162*d + 43. Let a(h) = -j(h) + 5*o(h). What is the first derivative of a(t) wrt t?
152
Suppose 11*y + 1 = 56. Find the third derivative of -109*o - 13*o**y - 108*o + 217*o - 3*o**2 + o**4 wrt o.
-780*o**2 + 24*o
Find the second derivative of -3 - 56*t - 30*t**4 + 60*t - 12 + 8 wrt t.
-360*t**2
Let x(i) be the third derivative of -7*i**2 - 19/6*i**3 + 0*i + 0 + 3/8*i**4. Differentiate x(o) wrt o.
9
Let a be (-2)/3*93 - 0. Let u be a/(-10) - (-3)/(-15). Differentiate 3 + 0 - z - u + 0 wrt z.
-1
Let j(p) be the third derivative of -p**7/210 + 59*p**6/120 + 97*p**5/15 + 2*p**2 + 528*p. Find the third derivative of j(r) wrt r.
-24*r + 354
Let h = -3 - -3. Suppose h = b + 4*b - 10. Find the third derivative of -11*t**2 - 10*t**b + 15*t**2 - 10*t**5 - 4*t**2 wrt t.
-600*t**2
Let h be (-6 - -3) + (-2)/((-4)/30). What is the first derivative of -8 + 4 - 1 + h*w**3 wrt w?
36*w**2
Let l(k) = k**2 - 7*k - 5. Let o be l(4). Let i(z) = -56*z - 10. Let a(h) = -19*h - 3. Let j(f) = o*a(f) + 6*i(f). What is the first derivative of j(s) wrt s?
-13
Let w(x) be the third derivative of 0 + 0*x**6 - 8*x**2 + 0*x + 0*x**3 + 19/24*x**4 - 13/210*x**7 + 0*x**5. What is the second derivative of w(n) wrt n?
-156*n**2
What is the second derivative of -48 + 3*x + 37*x**2 - 4*x**2 + 0*x + 4*x**2 - 3*x**2 wrt x?
68
Let k(z) be the second derivative of z**4/12 + z**3/6 + z**2 + 3*z. Let l be k(-2). What is the second derivative of 0*t + 2*t + 6*t - t**l - 4*t**4 wrt t?
-60*t**2
Let j(a) be the third derivative of 0*a + 4*a**2 + 7/12*a**4 - 7/3*a**3 + 0. Find the first derivative of j(d) wrt d.
14
Let k(t) be the second derivative of 4*t**3 + 0*t**5 + 0 - 18*t + 0*t**4 - 2/15*t**6 + 0*t**2. What is the second derivative of k(m) wrt m?
-48*m**2
Let w = 59 + -113. Let h be w/(-30) - (-2)/10. Find the third derivative of -h*l**3 - 5*l**3 + 6*l**3 - 4*l**2 - l**2 wrt l.
-6
Find the first derivative of -3*w**3 + 3*w**3 - 295 + 4 - 47*w**2 - 13*w**2 + 2*w**3 wrt w.
6*w**2 - 120*w
Let f(n) = 13*n + 24. Let l(g) = -7579*g - 13871. Let y(j) = 758*j + 1387. Let x(b) = 4*l(b) + 39*y(b). Let u(h) = -117*f(h) - 2*x(h). Differentiate u(p) wrt p.
-13
Let t(m) be the third derivative of 0*m + 1/120*m**6 - 2*m**2 + 0*m**4 + 1/12*m**5 + 0*m**3 + 0. What is the third derivative of t(l) wrt l?
6
Suppose -2 = -w - 4*h - 23, -h = -5*w. Let q be 1*(w + 4/1). What is the derivative of 3 - 1 - 74*g**3 + 73*g**q wrt g?
-3*g**2
Let z be (-3)/(-6) + 90/12. Suppose -2*a - 3*b - 2 = -12, -2*a - 2*b + z = 0. Find the third derivative of -28*s**2 - 3*s**3 + 13*s**2 + 17*s**a wrt s.
-18
Let m(n) = -n**2 - 19*n - 15. Let k be m(-18). Find the third derivative of -14*i**2 - k*i**5 - 17*i**6 + 3*i**5 wrt i.
-2040*i**3
Let x = 24 + 28. What is the first derivative of x + 37*f - 2*f**4 - 39*f + 38*f wrt f?
-8*f**3 + 36
Find the first derivative of -109*z + 282*z - 22 + 1