 first derivative of y(f) wrt f.
-8904*f
Suppose 2*h + 3*h = 3*p - 553, -p + 188 = 2*h. Find the second derivative of 49*m + m**5 + 12*m + 50*m**4 - p*m**4 - 20*m wrt m.
20*m**3 - 1632*m**2
Let b(m) = -m**3 - 21*m**2 + 20*m - 40. Let o be b(-22). What is the third derivative of 139*h**o - 13*h**5 - h**2 - 68*h**4 - 74*h**4 wrt h?
-780*h**2 - 72*h
Let l(d) be the first derivative of 31*d**7/420 + 7*d**4/8 - 46*d**3/3 + 20. Let a(y) be the third derivative of l(y). Differentiate a(q) wrt q.
186*q**2
Suppose 6*h = 4*h + 4. Suppose 24 = -h*m + 26. Find the second derivative of -1 + i + m - 367*i**5 + 370*i**5 wrt i.
60*i**3
Let h(v) be the first derivative of -1799*v**4 + 2236*v**3/3 + 2707. What is the third derivative of h(c) wrt c?
-43176
Suppose 5*o - 20 = -5*i + 15, 15 = o + 3*i. What is the second derivative of j**5 - 7*j**3 - j**o - 5*j**3 + 1 - 71*j wrt j?
20*j**3 - 78*j
Let f(t) be the third derivative of -65*t**4/4 - 1585*t**3/6 + 7*t**2 + 29*t. Find the first derivative of f(s) wrt s.
-390
Suppose 15 = 5*m, 0 = -4*n + 4*m + 6 + 6. What is the third derivative of -11*r**n - 66*r**2 - 2*r**3 - 15*r**6 - 82*r**2 + 172*r**2 wrt r?
-3120*r**3 - 12
Let q be 4*(1078/56 - 18). Let y(a) be the first derivative of 0*a**4 + 5*a - 1/2*a**2 + 0*a**3 + 36/5*a**q - 4. What is the second derivative of y(o) wrt o?
432*o**2
Let r(o) = -3*o**2 - 5*o + 2. Let z be r(4). Let f = z + 68. What is the first derivative of 13 + 17*h**4 - 14*h**4 + f wrt h?
12*h**3
Let k = -786 - -786. Let p(b) be the first derivative of 4*b**2 - 2*b**5 + 0*b**4 + 25 + k*b + 1/3*b**3. Find the third derivative of p(l) wrt l.
-240*l
Let i be 6/4*-2*(-26)/39. What is the third derivative of 26*m**i + 37*m**6 - 45 + 139 - 51 - 44 wrt m?
4440*m**3
Let o = 120 + -117. What is the first derivative of -12 - o - 12*p - p**2 - 29*p - 100 wrt p?
-2*p - 41
Let m(u) be the first derivative of 0*u - 64 - 26*u**4 + 2/3*u**3 + 4*u**2. Find the third derivative of m(k) wrt k.
-624
What is the derivative of 154*t**4 - 329*t**2 + 441 - 5703 - 50*t**4 - 105*t**4 wrt t?
-4*t**3 - 658*t
Let j(d) be the second derivative of -2033*d**5/10 + 1041*d**2 - 26*d - 43. Differentiate j(v) with respect to v.
-12198*v**2
Suppose -3*p + 12 = -2*o, -5*o + 3 = -2*p + 22. Suppose 0*s - 6 = -p*s. What is the second derivative of 0*y**3 + s*y**3 - 3*y**3 + 11*y + 37*y**4 wrt y?
444*y**2
Let m be (-2)/15 + (-67262)/(-11940). Let r(c) be the second derivative of -8/15*c**6 + 0*c**4 + 0*c**3 + 0*c**5 - m*c**2 + 3*c + 0. Differentiate r(d) wrt d.
-64*d**3
Let h(y) be the first derivative of 3091*y**3/3 - 307*y**2/2 - 4*y + 2132. Find the second derivative of h(b) wrt b.
6182
Suppose -28*q = -26*q - 4. What is the first derivative of -78*j**2 - 72*j**q - 28*j**2 - 31*j**2 - 201 + 23*j**2 wrt j?
-372*j
Let w(o) = -12684*o - 1650. Let c(q) = 12683*q + 1692. Let b(m) = -6*c(m) - 5*w(m). Differentiate b(k) wrt k.
-12678
Let b = 32 - 35. Let w be (-12)/9*(b - 0). Differentiate -w + 1 - 3*u**2 + 2 - 1 with respect to u.
-6*u
Let n(p) be the second derivative of -50*p**3/3 - 5191*p**2 - 5320*p. What is the first derivative of n(q) wrt q?
-100
Let c(u) = 19*u - 114. Let g be c(6). Let v(f) be the third derivative of 15*f**2 - 13/6*f**3 + g*f - 1/6*f**4 + 0. What is the first derivative of v(j) wrt j?
-4
Find the second derivative of -2231*b + 514*b**3 - 1658*b - 525*b**3 wrt b.
-66*b
Let k(d) be the second derivative of 0*d**6 + 104*d + 9/2*d**7 - 5/12*d**4 + 0*d**3 + 0 + 0*d**5 - 9*d**2. Find the third derivative of k(z) wrt z.
11340*z**2
Suppose -4*i + 9*d + 8 = 11*d, -2*i + 4*d = -24. Suppose -47 = -3*v + 7. Differentiate -17*k**i - k**4 - 2*k**4 + 9 + v with respect to k.
-80*k**3
Let n(p) be the first derivative of -7*p**5/5 + 53*p**3 - 1153*p + 1877. What is the first derivative of n(g) wrt g?
-28*g**3 + 318*g
What is the second derivative of 7*d - 142 + 16*d**3 + 19*d**3 + 11*d**3 - 4*d - 6*d - 4*d**2 wrt d?
276*d - 8
Let h(x) be the first derivative of 10053*x**4/4 - 2*x**3/3 + 1741*x**2/2 - 9262. Find the third derivative of h(f) wrt f.
60318
Differentiate 42721*s - 42721*s - 700 + 2*s**2 + s**4 wrt s.
4*s**3 + 4*s
Suppose 17*t = 16*t + 4. Find the third derivative of 34*s**4 - 296*s**2 + 98*s**2 + 97*s**t + 25*s**4 wrt s.
3744*s
Suppose -4 = 29*i - 352. Let m(t) be the second derivative of 0*t**3 + 7/6*t**4 + 11/2*t**2 - i*t + 0. What is the first derivative of m(c) wrt c?
28*c
Let n be 136 - ((-7 - -3) + 4). Let y(d) = 138*d**2 + d - 3. Let s be y(1). What is the third derivative of -30*z**2 - 3*z**4 - s - 6*z**4 + n wrt z?
-216*z
Let u(q) = -12587*q**2 - 623*q - 4. Let f(d) = -d**2 + 36*d. Let l(g) = 6*f(g) - u(g). What is the second derivative of l(c) wrt c?
25162
Suppose 0*i = -5*s + 3*i + 8, 0 = -2*i - 2. Let t(v) = 2. Let k(g) = -21*g + 13. Let j(r) = s*k(r) - 2*t(r). What is the first derivative of j(o) wrt o?
-21
Differentiate -202 - 105 - 3502*j + 80 - 29 with respect to j.
-3502
What is the derivative of 200 - 105 - 281*o**2 - o**4 + 395 - 288*o**2 + 540 wrt o?
-4*o**3 - 1138*o
Let c(r) = -4850*r**3 + 3*r**2 - 75*r - 6. Let a(x) = -14549*x**3 + 10*x**2 - 236*x - 16. Let m(w) = 4*a(w) - 11*c(w). Find the third derivative of m(y) wrt y.
-29076
Let n(k) be the second derivative of 197*k**7/14 + k**6/10 + 1004*k**3/3 + 673*k. Find the second derivative of n(p) wrt p.
11820*p**3 + 36*p**2
Let c(v) be the third derivative of -1661*v**6/60 + 61*v**5/30 - v**4/24 - v**3/3 - 100*v**2 + 21*v - 2. Find the third derivative of c(q) wrt q.
-19932
Let f(t) be the first derivative of -1096*t**5/5 - 9186*t - 3920. Differentiate f(v) with respect to v.
-4384*v**3
Let t(a) be the third derivative of 0 + 1/105*a**7 + 30*a**2 - 2*a + 1/20*a**6 + 7/24*a**4 + 0*a**3 - 1/30*a**5. Find the third derivative of t(s) wrt s.
48*s + 36
What is the derivative of -8*a + 278 + 451 - 3 + 186 - 74 - 13*a**2 wrt a?
-26*a - 8
Suppose -8*k + 2*k - 198 = 0. Let a = k - -45. What is the third derivative of -4*c + 4*c - 11*c**4 + 14*c**4 + a*c**2 wrt c?
72*c
Let z(i) be the first derivative of -29*i**5/5 - 1014*i + 601. What is the first derivative of z(q) wrt q?
-116*q**3
Suppose 14*x - 580 + 118 = 0. Find the first derivative of -x*k**3 - 31 + 70 - k**2 + 22 wrt k.
-99*k**2 - 2*k
What is the third derivative of 4880*c**2 + 36712*c**4 - 904*c**2 - 35079*c**4 wrt c?
39192*c
Find the second derivative of 710*i**2 + 151*i**2 - 382*i**2 - 6*i + 2 + 670*i**2 wrt i.
2298
Let w(b) = b**2 + 19*b - 6. Let g be w(-15). Let m = 70 + g. What is the third derivative of 179*v**m - 179*v**4 + 26*v**5 - 17*v**2 wrt v?
1560*v**2
Let l(x) be the first derivative of 2*x**5/5 + 319*x**4/4 - 2*x**3/3 + 179*x**2/2 - 2538. Find the third derivative of l(f) wrt f.
48*f + 1914
Let l(h) = -2763*h**3 - 2*h**2 + 3*h - 2210. Let d(o) = 5525*o**3 + 4*o**2 - 7*o + 4421. Let w(k) = 3*d(k) + 7*l(k). Differentiate w(m) wrt m.
-8298*m**2 - 4*m
Let w = 61 - 50. Let v be (1 - w)*-2*(-3)/(-12). Find the second derivative of -7*a**v + 8*a**5 - 8*a + 3*a**5 wrt a.
80*a**3
Suppose -82 = 13*j - 368. Find the second derivative of 56*s**4 + 2 - s - 3 + 8 - 6*s + j*s**4 wrt s.
936*s**2
Suppose 8*m = -25 + 41. What is the second derivative of -4*n**5 - 2*n**5 + 5*n**5 - 191*n + 17*n + 92*n**2 + 59*n**m wrt n?
-20*n**3 + 302
Let h(s) be the third derivative of 2/5*s**5 + 1/105*s**7 + 4 - 1/4*s**6 + 0*s**3 + 0*s**4 + 0*s - 4*s**2. Find the third derivative of h(r) wrt r.
48*r - 180
Let k(t) = -1782*t**2 - 45*t - 141. Let z(r) = -891*r**2 - 25*r - 69. Let d(n) = 5*k(n) - 9*z(n). What is the derivative of d(p) wrt p?
-1782*p
Let w(o) = 18*o**2 + 30*o + 4 + 34*o + 18*o + 69*o**2 - 5*o**3. Let p(t) = t**3 + t - 1. Let x(s) = 4*p(s) + w(s). What is the second derivative of x(q) wrt q?
-6*q + 174
Let m = -31680 - -31684. Let q(h) be the second derivative of 0*h**3 - 45*h + 17/2*h**2 + 0 - 3/10*h**5 + 0*h**m. What is the derivative of q(v) wrt v?
-18*v**2
Let z = -43906 - -43910. Let j(h) be the third derivative of 0 + 35/6*h**3 + 46*h**2 + 0*h**z + 0*h + 3/20*h**6 + 0*h**5. What is the derivative of j(k) wrt k?
54*k**2
What is the second derivative of 210*c + 93*c + 38 - 306*c - 4362*c**5 wrt c?
-87240*c**3
Let b(a) be the third derivative of a**7/21 - 181*a**5/60 + 2011*a**3/6 + 2744*a**2 + 2*a.