- 2. Let o(l) = -352*l - 173. Let w(x) = -3*f(x) + o(x). Find the first derivative of w(g) wrt g.
-349
Let f = -56 - -58. Find the second derivative of 4*h + 11*h**2 + f*h**2 - 12*h - 5*h**2 wrt h.
16
Suppose 228 + 52 = 7*b. What is the second derivative of 43*j**4 - 6*j - b*j**4 + j wrt j?
36*j**2
Let h(m) = m**2 - 6*m + 2. Let w be h(6). Differentiate -8 - 71*x**2 - 70*x**2 + 139*x**w with respect to x.
-4*x
Let p(h) be the second derivative of 0*h**2 + 5/24*h**4 + 0 - 1/40*h**5 + 1/3*h**3 + 2*h. Let c(r) be the second derivative of p(r). Differentiate c(s) wrt s.
-3
Let z be (-1 + 132/(-8))*-2. Suppose -5*r - 5*o = -z, -r = o + 3*o - 22. What is the derivative of 3 + 1 + 4 + 3*k + r*k wrt k?
5
Let c = 144 - 140. What is the second derivative of 149*m**3 - 108*m**3 - 29*m + c*m wrt m?
246*m
Let c(n) = n**3 + n**2 + 2*n + 4. Let j be c(0). What is the first derivative of -39 + k + 59*k**j - 12*k**4 - k wrt k?
188*k**3
Differentiate 22 - b + 3 + 13 with respect to b.
-1
Let q(p) = -p**2 - 7*p + 11. Let l be q(-8). Suppose c = 5*t + 25, -t + 27 = l*c - 0*t. Find the third derivative of -c*j**5 - 4 + 3 + 11*j**2 + 1 wrt j.
-600*j**2
Let f(i) be the third derivative of 0*i + 0*i**4 - i**2 + 0 + 29/6*i**3 - 3/10*i**5. Differentiate f(y) wrt y.
-36*y
Let h be (1 + -4)*(-2)/(-3). Let z be (-9 + -1)*1/h. Find the second derivative of a**z - a**5 - 4*a - 4*a**5 wrt a.
-80*a**3
Find the third derivative of 27*l**2 - 4*l**2 + 13*l**3 + 5*l**2 + 75*l**3 wrt l.
528
Let a(g) = 14*g**4 - 7*g**3 + 7. Let z(v) = -1 - 27*v**4 + v**3 - v**2 + 26*v**4 + 0. Let m(s) = -a(s) - 7*z(s). What is the third derivative of m(p) wrt p?
-168*p
Let n(l) = 33*l**2 + 14. Let u(q) = -32*q**2 - 15. Suppose 0*o = 13*o - 52. Let k(z) = o*n(z) + 5*u(z). Differentiate k(p) with respect to p.
-56*p
Differentiate -10 + c**2 - 7*c - 5*c**2 + 15*c wrt c.
-8*c + 8
Let a(r) be the first derivative of 5*r**6/3 - 7*r**5/5 - r**3/3 - 28*r**2 - 200. What is the third derivative of a(i) wrt i?
600*i**2 - 168*i
Let n = 66 - 66. Let u(k) be the first derivative of 3/5*k**5 + 0*k**3 - 2*k**2 + 6 + n*k**4 + 0*k. What is the second derivative of u(o) wrt o?
36*o**2
Suppose 1908*o = 1912*o. Let u(y) be the first derivative of 0*y**4 + 9 - 9/5*y**5 + 2*y**3 + o*y + 0*y**2. What is the third derivative of u(c) wrt c?
-216*c
Let a(t) be the second derivative of t - 1 + 13/5*t**5 + 0*t**3 + 0*t**2 - 43/12*t**4. What is the third derivative of a(p) wrt p?
312
Suppose 0 = 2*l - 0*l - 4. Let c be (-31)/(-5) + (-2)/10. Find the third derivative of 21*n**6 - 6*n**c - l*n**2 - 10*n**6 wrt n.
600*n**3
Let a = 86 + -84. Differentiate 14 + 21 - 13 - 41*f**a + 5 with respect to f.
-82*f
Let p be (-94)/6 + 2/(-6). Let a be ((-4)/(-3))/(p/(-24)). What is the third derivative of -2*i + 3*i**a + 2*i + i**4 - 7*i**4 wrt i?
-144*i
Let t(h) = h**2 + 4. Let j be t(0). Find the second derivative of 84*d - 2*d**3 + 2*d**3 + 25*d**j - 103*d wrt d.
300*d**2
Let f(g) = g**3 - 7*g**2 + 6*g + 4. Let w be f(6). Find the first derivative of -11*b**3 - 2 + 2 - 3 + w wrt b.
-33*b**2
Let h(u) be the second derivative of -u**6/15 - 113*u**5/20 - 152*u**3/3 - u + 99. Find the second derivative of h(m) wrt m.
-24*m**2 - 678*m
Let k(r) be the first derivative of -3*r**6/40 + r**4 - 20*r**3/3 - 11. Let t(p) be the third derivative of k(p). Differentiate t(g) wrt g.
-54*g
Let c = -88 + 129. Suppose c = 4*s + 5. Find the second derivative of -4*i + 9 - 9 + s*i**3 wrt i.
54*i
Differentiate 913*z - 913*z + 47 - 104*z**4 wrt z.
-416*z**3
Let q(p) = -8*p**3 + 13*p**2 + 5*p + 5. Let l(v) be the first derivative of v**2/2 + v - 7. Let z(d) = -5*l(d) + q(d). Find the third derivative of z(a) wrt a.
-48
What is the second derivative of 1 + 3 - 28*c - 12*c**5 + 16*c**5 + 38*c**5 - 2 wrt c?
840*c**3
Let i(h) = 329*h + 172. Let a(c) = -2961*c - 1547. Let x(q) = 4*a(q) + 35*i(q). What is the first derivative of x(l) wrt l?
-329
Suppose 5*x = 6 + 9. Suppose 6 = -x*h + 33. What is the second derivative of 4*m + 5*m**5 - m**5 + 9*m**3 - h*m**3 wrt m?
80*m**3
What is the first derivative of 16 - 147*f - 132 - 182*f - 243 wrt f?
-329
Let a(y) be the second derivative of -94*y**6/15 + 59*y**2/2 + y - 78. Differentiate a(i) with respect to i.
-752*i**3
Let k(u) be the third derivative of 0*u**3 - 11/60*u**5 + 0*u - 10*u**2 + 0 + 0*u**4 + 1/24*u**6. Find the third derivative of k(d) wrt d.
30
Let t(q) = 0*q - 7*q + 4*q - 13. Let y be t(-7). What is the second derivative of -8 + y + 5*g + 4*g**2 wrt g?
8
Let z(c) be the second derivative of 379*c**5/20 - c**4/4 - 11*c**3/6 + 9*c + 18. Find the third derivative of z(o) wrt o.
2274
Find the second derivative of -2*k + 3 - 4*k**5 - 12*k**2 - 2*k**2 + 20 + 10*k**2 wrt k.
-80*k**3 - 8
Let k be 1/(-2) - 7/(-14)*147. Find the first derivative of 29*o**2 - k*o**2 + 6 + 38*o**2 wrt o.
-12*o
Suppose -j - 2*j = t - 918, j = 5*t + 322. What is the second derivative of b**2 + 31*b + 5*b**2 + j - 307 wrt b?
12
Let w(t) = t**3 - 12*t**2 - t + 14. Let o be w(12). What is the second derivative of 0*x - 4*x + 0*x - x**o wrt x?
-2
Let c(z) = z**3 - 3*z**2 - 3. Let s be c(3). Let r = s - -3. What is the second derivative of 2*d**5 + d**5 - 4*d + r*d + 5*d wrt d?
60*d**3
Let f(h) be the second derivative of h**8/560 + h**7/168 + h**4/3 + 40*h. Let j(i) be the third derivative of f(i). What is the third derivative of j(d) wrt d?
72
Let m(l) = -l + 1. Let h be m(-5). Let k(u) = u. Let s be k(4). Find the third derivative of -3*w**6 + 3*w**h - s*w**2 + w**6 wrt w.
120*w**3
Let j(r) = -85*r**4 + 13*r**3 - 26*r - 53. Let m(d) = 21*d**4 - 3*d**3 + 6*d + 13. Let c(g) = 6*j(g) + 26*m(g). Find the first derivative of c(k) wrt k.
144*k**3
Let s be (4/12 + 0)/8. Let t(x) be the third derivative of -s*x**4 + x**2 + 1/6*x**3 + 0*x + 0. What is the derivative of t(w) wrt w?
-1
Suppose a + 10 = 6. Let i be 180/(-40)*a/3. Find the first derivative of -3 - 4 + i + 3 + 11*d**3 wrt d.
33*d**2
Suppose -i - 5*p + 60 = 4*i, -3*i + p + 36 = 0. Let l be (i/(-21))/(4/(-14)). Find the second derivative of -l*w + 2*w**4 - w**4 - 6*w**4 wrt w.
-60*w**2
Let r = 165 + -161. Find the second derivative of 16*z + 7*z**r + 2*z**5 - 22*z - 4*z**4 + 2 wrt z.
40*z**3 + 36*z**2
What is the derivative of 195*v + 293*v - 98 + 135*v - 5*v - 27*v wrt v?
591
Suppose a = -c - 2*c + 36, 0 = -5*a. Differentiate 6*m**3 + c*m**3 - 9*m**3 + 14 with respect to m.
27*m**2
Let h(i) = i**3 + 4*i**2 - 5*i + 2. Suppose 0*r - 5*r - 25 = 0. Let b be h(r). What is the second derivative of -8*s**2 + 3*s**b - s**2 + 6*s wrt s?
-12
Let m(t) be the first derivative of -2*t**5/5 - 31*t**2 - 314*t + 316. Find the first derivative of m(j) wrt j.
-8*j**3 - 62
Let i = -1633/4 + 409. Let x(h) be the second derivative of -9/20*h**5 + 4*h + 0*h**2 + 0 + 0*h**3 - i*h**4. What is the third derivative of x(r) wrt r?
-54
Let d(z) = -z**3 - 6*z**2 + 12*z + 37. Let o be d(-7). Find the second derivative of 22*m - o + 2 - 187*m**3 + 222*m**3 wrt m.
210*m
Let x be 512/28 - (-4)/(-14). Let b be (-4)/x - (-380)/90. Find the third derivative of -5*d**b - 5*d**4 + d**4 + 2*d**4 + 6*d**2 wrt d.
-168*d
Let u(f) = -77*f**3 + 92*f**2 + 3*f + 3. Let k(z) = 75*z**3 - 93*z**2 - 4*z - 4. Let b(a) = 3*k(a) + 4*u(a). What is the third derivative of b(v) wrt v?
-498
What is the second derivative of 140*b + 293*b**5 - 751*b**5 + 116*b**5 wrt b?
-6840*b**3
Let j(q) be the third derivative of 3*q**2 + 0 + 0*q**3 + 0*q**4 + 1/5*q**5 + 0*q - 1/12*q**6. Find the third derivative of j(s) wrt s.
-60
Let c(u) = -u**3 + 2*u - 1. Let l be c(-3). Let d = l - 13. Differentiate -1 + 6*w**2 - 6 + d*w**2 - 3*w**2 wrt w.
20*w
Let q(d) be the third derivative of 13/336*d**8 + 1/8*d**4 + 0*d**7 + 0*d**5 + 0 + 0*d**3 + 0*d - 33*d**2 + 0*d**6. What is the second derivative of q(t) wrt t?
260*t**3
Let j(t) be the third derivative of 0*t**5 - 19/210*t**7 + 0*t**3 + 0 + 0*t + 16*t**2 + 0*t**6 + t**4. What is the second derivative of j(s) wrt s?
-228*s**2
Let h(d) = -d**2 - 5*d + 32. Let c be h(-8). Find the second derivative of 25*n + c*n**5 + 33*n**5 - 22*n**5 wrt n.
380*n**3
Let v(p) be the second derivative of -p**6/30 + 19*p**4/3 - 257*p**3/6 - 790*p. Find the second derivative of v(f) wrt f.
-12*f**2 + 152
Suppose 0 = 4*g - 10129 + 73