 wrt m?
104*m**3
Let b be 3/2 + 102/12. Find the second derivative of b*s**4 + 2*s**4 + 3*s + 12*s**4 - 7*s**4 wrt s.
204*s**2
Find the second derivative of 5*v**2 + v**2 - 12*v**4 - 5*v**2 - 20*v + 2 wrt v.
-144*v**2 + 2
Suppose -6*o = -4*o - 3*u - 96, -62 = -o + 5*u. Find the second derivative of -41*m**2 - 33*m + 42*m**2 - o*m**2 wrt m.
-82
Let o be (10/5)/((-1)/(-3)). Find the third derivative of o*n**4 - 14*n**2 + 5*n**4 - 4*n**4 wrt n.
168*n
Let b(j) be the third derivative of 11*j**8/48 - 13*j**4 + 104*j**2. Find the second derivative of b(r) wrt r.
1540*r**3
Let p(n) be the second derivative of 23*n**4/4 + n**3/3 - 11*n**2/2 + 37*n. Find the second derivative of p(q) wrt q.
138
Let h(q) be the second derivative of 29/6*q**3 + 0 + 0*q**2 - 19/30*q**6 + 15*q + 0*q**4 + 0*q**5. What is the second derivative of h(f) wrt f?
-228*f**2
Let s(t) = -9*t**2 - 10*t**2 + 18*t**2. Let n(q) = 35*q**2 + 55*q. Let m(g) = -n(g) + 5*s(g). What is the second derivative of m(f) wrt f?
-80
Let l(v) be the third derivative of 503*v**7/105 + v**4/6 + 61*v**3/2 + 364*v**2. Find the second derivative of l(p) wrt p.
12072*p**2
Let t(v) = 2*v + 22. Let o be t(-7). Suppose 2*x + m - 88 = 32, -3*x - 3*m = -186. What is the third derivative of -o*w**5 - 6*w**2 - 58*w**4 + x*w**4 wrt w?
-480*w**2
Let h(g) = -3*g**3 + 2*g**2 - 2*g + 86. Let v(b) = -3*b**3 + 2*b**2 - 2*b + 85. Let a(m) = -3*h(m) + 2*v(m). What is the second derivative of a(c) wrt c?
18*c - 4
Let c be 0 + -2 + (0 - 2). Let b be (c/(-2))/(-2)*-4. What is the derivative of 2*g**4 - g**4 + 2*g**b - 3 - 6*g**4 wrt g?
-12*g**3
Let l be ((3*-2)/1)/(-2)*1. Let q(z) be the first derivative of 0*z**4 + 5*z + 1/5*z**5 + 0*z**2 - 4 + 0*z**l. What is the first derivative of q(t) wrt t?
4*t**3
Let x = -6 + 10. Suppose -11 + 7 = -2*y. What is the derivative of -y - 2*o**x + o**2 - o**2 + 0*o**2 wrt o?
-8*o**3
Let k be (10/(-35))/((-2)/14). Find the third derivative of -15*n**6 + 2*n**2 - 8*n**2 + 35*n**k wrt n.
-1800*n**3
Find the third derivative of 1117*d**6 + 1122*d**6 - 7*d**3 - 1113*d**2 - 2213*d**6 + 2*d**3 wrt d.
3120*d**3 - 30
Let s = -37 + 47. Find the second derivative of 0*p + 2*p**3 - 5*p + 13*p + s*p wrt p.
12*p
Let t = -50 - -84. What is the first derivative of 1 - 44*c**4 + t*c**2 - 63*c**2 + 29*c**2 wrt c?
-176*c**3
Let a(c) = -42*c**2 + c - 3. Let d(y) = -84*y**2 + y - 5. Let h(s) = 9*a(s) - 4*d(s). What is the second derivative of h(o) wrt o?
-84
Let q(o) be the third derivative of o**3 - 1/24*o**6 + 0 + 0*o**4 + 0*o**5 + 6*o**2 + 0*o. What is the derivative of q(g) wrt g?
-15*g**2
Suppose f + 0*f = -f. What is the second derivative of y**2 - 34*y + f*y**2 + 3*y**2 wrt y?
8
Let o(m) be the second derivative of -13*m**7/105 + 7*m**3/6 + 9*m**2/2 - 4*m. Let v(n) be the first derivative of o(n). Differentiate v(s) with respect to s.
-104*s**3
Suppose 3*w = w + 6. Suppose 24*s = 19*s + 25. Differentiate 3*a**4 + a**4 - w - s*a**4 + 2*a**4 with respect to a.
4*a**3
What is the third derivative of -568*x**2 + 2166742 - 7*x**5 - 2166742 wrt x?
-420*x**2
Let w = 779 + -777. Let j(a) be the first derivative of 0*a**w + 3/4*a**4 + 0*a**3 - 8*a + 6. Differentiate j(z) with respect to z.
9*z**2
Let z(g) be the third derivative of -g**7/105 - g**5/30 + 7*g**4/2 - 5*g**2 - 13*g. What is the second derivative of z(k) wrt k?
-24*k**2 - 4
Let d = 54 + -35. What is the third derivative of 20*s**5 + 7*s**5 + d*s**2 - 47*s**2 wrt s?
1620*s**2
Find the third derivative of 1218*k + 232*k**2 - 47*k**3 - 1218*k wrt k.
-282
Let j(i) be the second derivative of 89*i**6/30 + i**5/10 - 16*i**4/3 + 89*i - 2. What is the third derivative of j(v) wrt v?
2136*v + 12
Find the first derivative of 5*s**4 + 31*s**3 - 103 + 5*s**4 - 10 - 9*s**4 wrt s.
4*s**3 + 93*s**2
What is the derivative of -159*a**4 + 3*a**2 + 513*a**4 + 27 + 3*a**2 - 8 - 5*a**2 wrt a?
1416*a**3 + 2*a
Let h(u) be the first derivative of 0*u**4 - 31*u + 0*u**2 + 16/5*u**5 + 8 + 0*u**3. Differentiate h(q) wrt q.
64*q**3
Let f(z) = z + 1. Let x be f(-6). Let y(j) = 11*j + 1. Let s(w) = -10*w. Let i(q) = x*y(q) - 6*s(q). Find the first derivative of i(k) wrt k.
5
Let m be 15 + 8/2 + -6. What is the second derivative of 0*s**2 + s + m*s + 17*s**2 + 2*s wrt s?
34
Let y(b) be the first derivative of -11*b**7/280 + b**6/12 - 10*b**3 + 29. Let k(u) be the third derivative of y(u). Find the third derivative of k(s) wrt s.
-198
Find the first derivative of 72 - 175 - 104*y + 104*y - 228*y**2 - 168 wrt y.
-456*y
Find the third derivative of -89*a**5 - 273*a**2 + 219881 - 219881 wrt a.
-5340*a**2
Let t(h) = h**2 - h - 3. Let z be t(-2). What is the second derivative of -17*s**z + 60*s**2 + 5*s - 60*s**2 wrt s?
-102*s
Let x = -6 - -11. Let u(y) = y**2 - 4*y - 2. Let z be u(x). What is the third derivative of -3*w**2 + 4*w**2 - w + w - w**z wrt w?
-6
Let i(v) = 261*v**3 + 11*v**2 + 82. Let d(f) = 131*f**3 + 6*f**2 + 41. Let o(c) = 11*d(c) - 6*i(c). Differentiate o(w) wrt w.
-375*w**2
Let q(r) be the first derivative of 73*r**5/5 + 4*r + 29. What is the derivative of q(j) wrt j?
292*j**3
Let p = 11 + 0. What is the first derivative of c**4 + 10 - p*c**3 - 4 + 20 wrt c?
4*c**3 - 33*c**2
Suppose 28 = 2*u + 12. What is the third derivative of -6*v**5 + 4*v**2 + u*v**4 - 7*v**4 - v**4 wrt v?
-360*v**2
Find the third derivative of 7*a**2 - 2*a + 2553*a**4 + 3*a**2 - 2560*a**4 - 24*a**2 - 21*a**2 wrt a.
-168*a
Suppose 5*s - 25 = -2*h - 0*h, -5 = -s - 5*h. Let y be ((-2)/s)/((-2)/40). What is the third derivative of -4*b**2 + 6*b**2 + y*b**3 - 3*b**3 wrt b?
30
Let f = -41 + 43. Find the third derivative of -5*l**f - 4*l**3 + 3*l**2 - 2*l**2 - 2*l**3 wrt l.
-36
Let i(c) be the first derivative of 51*c**3 + 6*c - 251. Differentiate i(y) wrt y.
306*y
Suppose -3*g + 2*g = -3. What is the first derivative of -65 + 3*y**g + 39 + 35 wrt y?
9*y**2
Suppose 0 = -21*r - 6*r. Let p(t) be the first derivative of 3 + 0*t + 0*t**4 + r*t**2 - 2/3*t**3 + 4/5*t**5. Find the third derivative of p(i) wrt i.
96*i
Find the third derivative of 9*j**4 - 5*j**6 - 4*j**6 - 221 + 221 + 90*j**2 wrt j.
-1080*j**3 + 216*j
Let z(g) = 60*g**2 - 161*g - 6. Let w(p) = 180*p**2 - 483*p - 17. Let a(d) = 6*w(d) - 17*z(d). What is the second derivative of a(i) wrt i?
120
Let a(m) be the second derivative of -m**7/14 - 227*m**6/30 + m**4/2 - 236*m. What is the third derivative of a(t) wrt t?
-180*t**2 - 5448*t
Let q(y) be the second derivative of -83*y**4/4 + 60*y**3 + y**2/2 + 2*y - 444. Find the second derivative of q(v) wrt v.
-498
Let f(i) be the second derivative of 0*i**5 - 10*i + 0*i**4 + 0*i**2 + 0 + 5/3*i**3 - 1/3*i**7 + 0*i**6. What is the second derivative of f(o) wrt o?
-280*o**3
Let g(p) be the second derivative of -163*p**4/4 - 193*p**2 + 4*p + 2. What is the first derivative of g(c) wrt c?
-978*c
Let c(k) = -k**2 - 6*k + 2. Let x(s) = -s**2 - 4*s - 6. Let r be x(-4). Let b be c(r). What is the third derivative of b*w**4 + 3*w**4 + w**2 - w**4 wrt w?
96*w
Find the second derivative of -39*s**2 - 2 + 2*s - 4 + 9 - 7 wrt s.
-78
What is the derivative of 76*m**3 + 1086*m**2 + 16*m**3 - 1086*m**2 + 72 wrt m?
276*m**2
Let i(z) = -453*z**4 + 6*z**2 + 6*z + 146. Let d(m) = -907*m**4 + 13*m**2 + 13*m + 290. Let b(w) = -6*d(w) + 13*i(w). Find the first derivative of b(x) wrt x.
-1788*x**3
What is the first derivative of 148*y**3 + 383*y**3 + 12769 - 12182 - 177*y**3 wrt y?
1062*y**2
Let n = -414 + 414. Let l(q) be the second derivative of 5/2*q**2 - 2*q + 5/6*q**3 + n. Differentiate l(g) with respect to g.
5
Let g(o) be the third derivative of 107*o**6/120 - o**5/60 + 11*o**3/6 + 76*o**2. Find the third derivative of g(s) wrt s.
642
Let v = -198 - -200. Let a = -1 + 5. Find the third derivative of 5*l**a - l**2 - 2*l**v + 0*l**4 wrt l.
120*l
Find the second derivative of 5*h - 3*h + 14 - 19 + 3*h + 7 + 37*h**2 wrt h.
74
Let p(f) = -f + 11. Let i be p(6). What is the third derivative of j**3 - i*j**2 + 2*j**6 + 0*j**6 - j**3 wrt j?
240*j**3
Let y(j) be the second derivative of 4*j**4/3 - 14*j**2 - 26*j. Differentiate y(u) with respect to u.
32*u
Let p(r) be the second derivative of r**7/21 + 59*r**4/6 + 122*r**3/3 + r + 3. What is the second derivative of p(i) wrt i?
40*i**3 + 236
Suppose 0 = 4*z - 146 - 110. Suppos