3
Let c(p) be the third derivative of -p**6/120 + p**4/24 + 8*p**3/3 + 77*p**2. Find the first derivative of c(m) wrt m.
-3*m**2 + 1
Let h(b) = -20*b**2 - 5*b - 165. Let a(u) = 40*u**2 + 13*u + 329. Let p(m) = -2*a(m) - 5*h(m). Differentiate p(r) wrt r.
40*r - 1
Let x(c) be the third derivative of -383*c**5/60 + 29*c**4/8 - c**3/6 - 393*c**2. Find the second derivative of x(y) wrt y.
-766
Suppose 5*d = 6*v - 4*v + 87, 0 = -5*d + 5*v + 90. What is the second derivative of 2*a**3 - 60 + 116 - 56 - d*a wrt a?
12*a
Let n(q) be the first derivative of -9*q**6/10 + 29*q**2/2 - 22*q - 14. Let o(u) be the first derivative of n(u). Differentiate o(r) wrt r.
-108*r**3
Let n(f) be the second derivative of 11/12*f**4 + 0*f**2 + 0*f**3 + 12*f + 0 - 13/20*f**5. What is the third derivative of n(d) wrt d?
-78
Let z(f) = -f**3 - f. Let s(d) = -3*d**3 - 53*d**2 - 4*d - 43. Let k(c) = s(c) - 4*z(c). Find the first derivative of k(p) wrt p.
3*p**2 - 106*p
Let m(q) be the third derivative of -29*q**7/210 - q**6/60 - 19*q**5/15 + q**4/12 + 131*q**2 + 2*q. Find the third derivative of m(t) wrt t.
-696*t - 12
Let a(m) = -65*m**3 + 5*m + 99. Let o(b) = -126 - 39*b**3 + 32*b**3 - 23 + 104*b**3 - 8*b. Let p(j) = 8*a(j) + 5*o(j). What is the derivative of p(l) wrt l?
-105*l**2
Suppose 5*u = -2*m + 50 + 33, -3*u + 2*m + 37 = 0. Find the first derivative of -b**4 - u*b + 7*b + 8*b - 18 wrt b.
-4*b**3
Let o = -4 + 4. Suppose -4 = -n - o*n. Find the second derivative of -2*f**2 - 2*f + f**2 - 2*f**n + f**2 wrt f.
-24*f**2
Let q(b) = 61*b**6 - 9*b**3 + 165*b**2. Let c(m) = -31*m**6 + 4*m**3 - 83*m**2. Let w(y) = -9*c(y) - 4*q(y). Find the third derivative of w(r) wrt r.
4200*r**3
Let f(a) = -371*a**4 - 47*a**2 + 2*a + 2. Let b(r) = 5931*r**4 + 753*r**2 - 33*r - 33. Let p(j) = -2*b(j) - 33*f(j). Find the third derivative of p(i) wrt i.
9144*i
Let h(y) = y**2. Let a(p) = 17*p**4 + 4*p**2 + 3*p - 13 + 13 + p**2. Let i(r) = -a(r) + 5*h(r). What is the second derivative of i(z) wrt z?
-204*z**2
Let s(a) = -69*a**2 - 32*a - 5. Let t(f) = -208*f**2 - 94*f - 14. Let w(c) = 8*s(c) - 3*t(c). What is the second derivative of w(z) wrt z?
144
Let x(w) = 33*w + 135. Let u(o) = 38*o + 134. Let j(p) = 4*u(p) - 3*x(p). What is the derivative of j(h) wrt h?
53
Let g = -2 - -6. Find the first derivative of 3*l**4 + 9*l**g + 8 + 3*l**4 - l**4 wrt l.
56*l**3
Let f(r) be the second derivative of 20*r**7/21 - 169*r**4/12 + 95*r. Find the third derivative of f(a) wrt a.
2400*a**2
Let s be 201/15 - (-6)/(-15). Suppose -d - s = -17. What is the second derivative of -51*g**2 + d*g + 41*g**2 + 8*g wrt g?
-20
Let v(k) = -k**2 + 9*k - 7. Let g be v(8). Let t(w) = 12*w**2 - w + 1. Let h be t(g). Find the first derivative of p**3 - h - 8*p**3 - 5*p**3 wrt p.
-36*p**2
Let h(a) = 57*a - 60. Let z(c) = c - 1. Let i(s) = h(s) - 3*z(s). What is the derivative of i(o) wrt o?
54
Let a(i) = i**3 - 16*i**2 + 14*i + 17. Let t be (-9)/15 - 156/(-10). Let r be a(t). What is the third derivative of 4*y**r - 65*y**4 + 65*y**4 - 8*y**6 wrt y?
-960*y**3
Let b(o) = -2*o**3 + o**2 - o - 1. Let y(i) = -72*i**4 + 4*i**3 - 2*i**2 + 2*i - 317. Let c(n) = -2*b(n) - y(n). Find the first derivative of c(p) wrt p.
288*p**3
Let q(i) = 493*i**4 - 11*i**2 + 141*i. Let c(h) = -99*h**4 + 2*h**2 - 28*h. Let r(p) = 11*c(p) + 2*q(p). What is the second derivative of r(k) wrt k?
-1236*k**2
Let y(s) be the third derivative of s**7/70 + 4*s**5/15 + 139*s**4/12 - s**3/3 - 763*s**2. What is the second derivative of y(x) wrt x?
36*x**2 + 32
What is the third derivative of 8*l + 43*l**5 + 221*l**2 + 2*l**3 - 2 - 217*l**2 + 2 wrt l?
2580*l**2 + 12
Let h(j) be the third derivative of 2*j**6/3 - 11*j**5/10 + 38*j**2 - 2*j. Find the third derivative of h(k) wrt k.
480
Find the third derivative of 1255 + 1255 + 249*u**6 + 279*u**6 - 175*u**2 - 2510 wrt u.
63360*u**3
Find the second derivative of 33*p + 11*p**5 + 0*p - 54*p**5 wrt p.
-860*p**3
Let z(t) be the second derivative of -161*t**5/10 - 113*t**3/6 + t**2/2 + 387*t. What is the second derivative of z(b) wrt b?
-1932*b
Let z(u) = 18*u**2 - u + 56. Let o(a) = 90*a**2 - 5*a + 281. Let s(f) = 2*o(f) - 11*z(f). Find the first derivative of s(g) wrt g.
-36*g + 1
Let l be (1 + 0)*(5 - -2). Let y be (12/14)/((-42)/(-196)). Find the first derivative of -3 - 4*k**y + 5 - 3 - l wrt k.
-16*k**3
Let f(q) be the first derivative of q**7/3 - 5*q**3/2 - 2*q + 2. Let w(v) be the first derivative of f(v). Find the second derivative of w(p) wrt p.
280*p**3
Suppose 0 = -4*i - i + 50. Let t = i + -7. What is the third derivative of t*x**2 - 16*x - 8*x**3 + 16*x wrt x?
-48
Let y(v) = -78*v**2 + 3*v - 10. Let b(q) = -2*q**2. Let r(u) = 6*b(u) + y(u). Find the second derivative of r(c) wrt c.
-180
Let y(f) = -219*f**3 - 17*f + 13. Let c(b) = -216*b**3 - 16*b + 12. Let i(n) = 7*c(n) - 6*y(n). What is the second derivative of i(u) wrt u?
-1188*u
What is the derivative of 137 + 145 - 10*u**2 - 301 + 11*u**3 wrt u?
33*u**2 - 20*u
Let c(g) be the third derivative of -1/210*g**7 + 0*g + 0*g**4 - 10/3*g**3 + 14*g**2 + 0*g**5 + 0*g**6 + 0. Find the first derivative of c(q) wrt q.
-4*q**3
Let x(c) be the second derivative of -13*c + 0*c**3 + 0 + 11/15*c**6 - 19/12*c**4 + 0*c**2 + 0*c**5. What is the third derivative of x(b) wrt b?
528*b
Let d(j) be the third derivative of -47*j**7/105 - 59*j**5/60 + 131*j**2. Find the third derivative of d(a) wrt a.
-2256*a
Let p(l) be the third derivative of 202*l**7/105 - 58*l**5/15 + 465*l**2. Find the third derivative of p(f) wrt f.
9696*f
Let n(g) = -g**3 + 11*g**2 - 8*g + 1. Let o be n(10). What is the first derivative of -1 - 17*y**2 + o*y**2 - 11 wrt y?
8*y
Let n = 1 + -3. Let m be n - (-8 - -1 - 1). What is the second derivative of -4*x**2 - 2*x + 4 + m - 10 wrt x?
-8
Let q = 3 + -9. Let j(c) = -3*c**2 + 5*c + 4. Let t(k) = 3*k**2 - 6*k - 4. Let x(b) = q*j(b) - 5*t(b). Differentiate x(g) with respect to g.
6*g
Let i(d) = 7*d + 0*d - 4*d - 15*d**2 + 8*d. Let n(x) = 29*x**2 - 21*x. Let g(p) = 13*i(p) + 6*n(p). What is the second derivative of g(m) wrt m?
-42
What is the third derivative of -14*h**2 + 78*h**2 - 114*h**4 + 8*h**4 wrt h?
-2544*h
Let o(m) = -72*m**2 + 10*m - 2. Let k(q) = -69*q**2 + 11*q - 3. Let z(f) = -2*k(f) + 3*o(f). What is the second derivative of z(t) wrt t?
-156
Find the second derivative of -2*c**2 + 2179 + 170*c**2 - 44*c - 2179 wrt c.
336
Let l(b) be the second derivative of b**7/280 - b**5/60 - b**4/12 + 8*b. Let o(y) be the third derivative of l(y). Find the first derivative of o(x) wrt x.
18*x
Let j(z) = -36*z**3 + 2*z - 2*z - 9 + 20*z**2. Let m(u) = -9*u**3 + 5*u**2 - 2. Let a(g) = 2*j(g) - 9*m(g). Find the third derivative of a(x) wrt x.
54
Let z = 47 + 2. Find the second derivative of -z*h**3 - 3*h**4 + 49*h**3 - 14*h wrt h.
-36*h**2
Suppose 4*b = -2*n + n, -5*n + 5*b + 50 = 0. What is the second derivative of -n*a**3 - 17*a - 12*a + 20*a wrt a?
-48*a
Let p(u) be the second derivative of 3 + 0*u**4 - 4*u - 1/10*u**5 + 5/3*u**3 - 21/2*u**2. What is the derivative of p(x) wrt x?
-6*x**2 + 10
Let l be (-1 - 4)*20/(-25). Find the third derivative of 0*v**l - 8*v**2 + v**2 + 0*v**2 - 18*v**4 wrt v.
-432*v
Let s(k) = -231*k**4 - 21*k**3 + 678*k**2 + 21. Let c(v) = -2*v**4 - v**3 + v**2 + 1. Let h(y) = 21*c(y) - s(y). Find the third derivative of h(u) wrt u.
4536*u
Let u(s) = -3*s**3 + s**2 - 4*s - 2. Let f be u(-2). Differentiate -7 + f*y**4 - 26 - 7 wrt y.
136*y**3
Let m(g) = -2*g**5 + 10*g**3 + g**2 + 318*g + 9. Let b(x) = x**5 - 6*x**3 - 159*x - 5. Let o(t) = 5*b(t) + 3*m(t). Find the second derivative of o(r) wrt r.
-20*r**3 + 6
Let w(k) be the second derivative of 26*k**6/5 - 505*k**2/2 - 140*k. What is the derivative of w(x) wrt x?
624*x**3
Let d(m) be the second derivative of m**6/6 - 31*m**5/20 - 118*m**3/3 - m**2/2 + 73*m. Find the second derivative of d(y) wrt y.
60*y**2 - 186*y
Let s(i) = -3*i + 7. Let d be s(-9). What is the derivative of d - 13*v + 0 - 15*v - 9*v wrt v?
-37
Let p be (3 + 4 + -2)*-7. Let h(l) = -95*l**3 + 60. Let s(v) = -8*v**3 + 5. Let i(m) = p*s(m) + 3*h(m). What is the first derivative of i(q) wrt q?
-15*q**2
Let h(v) be the first derivative of 2*v**4/3 + 7*v**2/2 + 14*v + 13. Let y(t) be the first derivative of h(t). Different