30*w**6 + 2*w + 1/2*w**4 + 0*w**5 + 25 + 25*w**2 + 0*w**3. Differentiate f(m) with respect to m.
4*m**3 + 12*m
Let v be (-11)/(-2) + -1 + (-55)/110. Find the second derivative of 19*u - v*u**2 - 8*u**3 - 4*u + 34*u wrt u.
-48*u - 8
Let w be (((-18)/(-24))/3)/((-3)/(-36)). Find the third derivative of -89 - 7*o**3 + o**2 + 9*o**w + 50*o**3 + 39*o**3 wrt o.
546
Let y(b) = 2*b + 2. Let o(j) = -11035*j**4 + 6*j - 8292. Let l(f) = o(f) - 3*y(f). What is the first derivative of l(k) wrt k?
-44140*k**3
Let z(t) = t**3 - 2*t**2 + 5*t. Let c be z(2). What is the third derivative of -20*x**3 + c - 6*x**3 - 2*x**2 - 8*x**3 wrt x?
-204
Let f(p) be the first derivative of -2*p + 0*p**5 + 22 - 1/6*p**6 - 5/2*p**2 + 0*p**3 + 16*p**4. Find the second derivative of f(b) wrt b.
-20*b**3 + 384*b
Let z be (1 + 6/(-4))/(87/(-19140)*20). Let u(l) be the second derivative of 0*l**2 - 48*l + 1/2*l**4 + 0 - z*l**3. What is the second derivative of u(d) wrt d?
12
What is the first derivative of -582325*g**2 + 2255 + 5855*g**3 + 582325*g**2 wrt g?
17565*g**2
Find the third derivative of 3455 - 1046 - 2*r**2 + 3493*r**3 + 5*r**2 - 1080 - 1180 wrt r.
20958
Let w be (5 - 0)/((-45)/(-18)). What is the derivative of 459*y**2 - 927*y**w + 138 + 676*y**2 wrt y?
416*y
Suppose 8 + 3 = p - 2*s, -4*s + 23 = 3*p. Let m(d) = 105*d - 2 - 120*d + p. Let z(u) = -46*u + 22. Let g(j) = 10*m(j) - 3*z(j). Differentiate g(c) wrt c.
-12
Suppose -5*g + 67 = 27. Let y(o) be the first derivative of -5 + 13 + g*o**2 + 18*o - 6*o**2. Differentiate y(j) with respect to j.
4
Find the second derivative of -3801*i**2 - 21*i + 3350*i**2 - 1464*i + 151*i wrt i.
-902
Let h(i) = 8667*i**3 - 306*i**2 - 4*i. Let p(s) = 13001*s**3 - 459*s**2 - 6*s - 1. Let f(x) = -8*h(x) + 5*p(x). What is the third derivative of f(c) wrt c?
-25986
Let y be 1/(-1*(-2 - -1)) + 4. What is the third derivative of 27*w + 54*w**2 + 8*w**y + 60*w**5 - 52*w**2 wrt w?
4080*w**2
Let k(p) be the first derivative of -27 - 49/3*p**3 + 0*p**4 + 0*p - 4/5*p**5 + 0*p**2. What is the third derivative of k(i) wrt i?
-96*i
Let w(g) be the third derivative of -489*g**6/40 + 7*g**4/24 - 27*g**3 - 1568*g**2. What is the second derivative of w(v) wrt v?
-8802*v
Let o(z) = -2744*z**3 + 3*z**2 + 15*z - 47. Let h(b) = 4*b**3 - b**2 - b - 1. Let w(a) = 3*h(a) + o(a). Find the second derivative of w(t) wrt t.
-16392*t
Let u(j) be the second derivative of -14*j + 0*j**2 - 33/2*j**3 + 55/12*j**4 + 0. Find the second derivative of u(l) wrt l.
110
Let g(l) be the second derivative of -64*l**7/3 - l**5/4 - l**4/6 + 2*l**3 - 2*l**2 + l - 14719. Find the third derivative of g(d) wrt d.
-53760*d**2 - 30
Let p(m) = 23*m**2 - 39*m + 1938. Let f(s) = -19*s**2 + 39*s - 1938. Let l(z) = -4*f(z) - 3*p(z). Differentiate l(q) wrt q.
14*q - 39
Let i(a) be the first derivative of -250*a**3 - 1541*a**2 + 3017. What is the second derivative of i(v) wrt v?
-1500
Differentiate -413*s + 10695 + 76*s - 10437 with respect to s.
-337
Let h(b) be the second derivative of b**4/3 - 25*b**3 - 526*b**2 - 861*b. Differentiate h(a) with respect to a.
8*a - 150
Let k(t) = 685*t - 1953. Let f(n) = -5. Let s(d) = -f(d) + k(d). What is the derivative of s(q) wrt q?
685
Let q(d) be the third derivative of 0*d**6 - 2 + 34*d**2 - 7/48*d**8 + 0*d**4 + 0*d - 77/60*d**5 + 0*d**7 + 0*d**3. Find the third derivative of q(y) wrt y.
-2940*y**2
Let s(m) be the second derivative of 0*m**3 + 0*m**2 + 4 + 0*m**5 + 2*m + 11/2*m**4 + 71/30*m**6. Find the third derivative of s(h) wrt h.
1704*h
Suppose -72 = -10*n + 778. What is the first derivative of -18*b + 143 - n - 35*b wrt b?
-53
Let p(j) = -2*j**3 - j**2 + 3*j + 1. Let k(y) = 4*y**3 - 2*y - 2514. Let a(u) = k(u) + 3*p(u). What is the derivative of a(s) wrt s?
-6*s**2 - 6*s + 7
Let f(v) = -v**2 + 47*v - 131. Let j be f(44). Let u(s) be the first derivative of j + 7/2*s**2 + s. What is the first derivative of u(o) wrt o?
7
What is the third derivative of 3*s**2 - 1360 + s**2 + 70*s**3 + 690 + 690 wrt s?
420
Let n(p) = p**3 + 41*p**2 + 77*p - 37. Let t be n(-39). What is the second derivative of 15*u**3 - 4*u**3 - 108*u + t*u**3 + u**4 - 4*u**4 wrt u?
-36*u**2 + 78*u
Suppose 212 = c + 38. Find the second derivative of 10*g**2 + c*g + 418*g**3 - 212*g**3 - 212*g**3 wrt g.
-36*g + 20
Let j(p) = -2824*p**4 + 8*p**2 + 8*p - 4565. Let d(z) = 2822*z**4 - 6*z**2 - 6*z + 4566. Let g(x) = -4*d(x) - 3*j(x). Find the first derivative of g(h) wrt h.
-11264*h**3
Let l(x) = 950*x**2 + 3*x - 2162. Let n(h) = -949*h**2 - 2*h + 2161. Let b(g) = -3*l(g) - 4*n(g). Find the second derivative of b(c) wrt c.
1892
Let m = 14 - 12. Find the third derivative of -13*i**6 + 47*i**6 - 77*i**m + 50*i**6 wrt i.
10080*i**3
What is the second derivative of -11*g**3 + 5*g**4 - 378*g - 37*g**2 - 631*g - 1373*g + 399*g + 11*g**2 + 2 wrt g?
60*g**2 - 66*g - 52
Let h(s) = -s**4 + 28*s**3 - s**2. Let b(r) = -273*r**4 + 140*r**3 - r**2 - r + 943. Let l(c) = -b(c) + 5*h(c). What is the second derivative of l(w) wrt w?
3216*w**2 - 8
Let p(y) be the first derivative of -83*y**6 - 8*y**2 + 10*y + 902. What is the second derivative of p(c) wrt c?
-9960*c**3
Let c(k) be the second derivative of 13/12*k**4 + 0 + 1/2*k**3 + 164*k - 9*k**6 + 0*k**2 + 0*k**5. What is the third derivative of c(t) wrt t?
-6480*t
Let f be 12*1 + (-9)/(-3). Find the third derivative of 98*u**3 + 0*u**2 - 5*u**2 - 2*u**3 - f*u**3 wrt u.
486
Suppose 3*m + 8*m = 330. Let s be m/6 - (3 - (-9)/(-3)). Differentiate f + s*f - 24 - 14*f - 15*f with respect to f.
-23
What is the third derivative of 699*k**4 + 5885*k**2 + 206253 + 3*k**5 - 206253 wrt k?
180*k**2 + 16776*k
Differentiate -1339 - 5608 + 1870 - 5504*v - 6320 - 1215 with respect to v.
-5504
Let y(q) = -12654*q**2 - 8*q - 10287. Let u(a) = -4218*a**2 - 3*a - 3428. Let j(s) = -8*u(s) + 3*y(s). What is the derivative of j(h) wrt h?
-8436*h
Let v(j) be the first derivative of 166*j**3 + 3221*j + 4778. Differentiate v(w) wrt w.
996*w
Let y(b) be the third derivative of 0*b**5 - 8 - 13/24*b**6 + 0*b - 1/12*b**4 + 31*b**3 - 12*b**2. Find the second derivative of y(d) wrt d.
-390*d
Let g(o) be the second derivative of 0*o**6 + 0*o**5 - 5*o**3 + 0*o**2 - 1/6*o**4 + 0 - 104*o - 40/21*o**7. Find the third derivative of g(f) wrt f.
-4800*f**2
Find the third derivative of -5259*n**2 + 6865*n**2 - 248*n**6 + 40*n**6 - 5*n**3 wrt n.
-24960*n**3 - 30
What is the second derivative of 6*b - 367111*b**3 - 4*b**5 + 314*b**4 + 232 + 367111*b**3 + 63 wrt b?
-80*b**3 + 3768*b**2
Let k(r) = 5*r**2 - 8*r + 4. Let m(u) = 0 + 7 + 5*u**2 - 4 - 7*u. Let h = 31 - 34. Let f(l) = h*k(l) + 4*m(l). Find the second derivative of f(o) wrt o.
10
Let t = -474 - -478. Find the third derivative of -4*n - 80*n**t - 6*n + 3*n**2 - n**2 - 4*n wrt n.
-1920*n
Let i(z) be the first derivative of 3470*z**3 + 3889*z - 13617. Find the first derivative of i(g) wrt g.
20820*g
Let r(u) be the first derivative of -263*u**2 + 22*u + 45. Let s(w) = 177*w - 7. Let o(y) = -3*r(y) - 8*s(y). What is the derivative of o(v) wrt v?
162
Suppose 18 - 58 = -4*w. Let z be 2/w - 90/(-50). Find the second derivative of 2 + 31*g**5 - 11*g**5 - z + 17*g wrt g.
400*g**3
Let i(z) = -z**3 - 11*z**2 + 23*z - 19. Let w be i(-14). Differentiate 279 + w + 50*g**4 - 442 with respect to g.
200*g**3
Let x(s) be the third derivative of 2927*s**9/168 + s**7/105 + 346*s**5/15 - 2*s**2 - 319. What is the third derivative of x(g) wrt g?
1053720*g**3 + 48*g
Let g(h) be the third derivative of -17*h**7/210 + 23*h**6/24 + 691*h**4/4 - 676*h**2 - 2*h. What is the second derivative of g(a) wrt a?
-204*a**2 + 690*a
Let j(c) be the second derivative of 873*c**3/2 + 2685*c**2/2 + 49*c + 4. Differentiate j(v) wrt v.
2619
Let k = -624 - -626. Differentiate -7*y + 218 - 7*y**2 - 48*y**2 + 57*y**k wrt y.
4*y - 7
Find the second derivative of -6 - 120*t - t - 38*t - 4 + 3356*t**3 + 5 wrt t.
20136*t
Let c(z) be the third derivative of 17/210*z**7 + 0 + 0*z**6 + 0*z - 1/2*z**3 + 1/3*z**4 - 65*z**2 - 1/30*z**5. Find the second derivative of c(a) wrt a.
204*a**2 - 4
Suppose 14 = -5*x + 4, -4 = 2*o + 4*x. Let k = 124 - 121. Find the second derivative of -2*c - k*c - c + 14*c**o + 5*c wrt c.
28
Let p(x) be the first derivative of 267*x**4/2 + 7*x**2/2 - 37*x + 3322