+ 2*z**r - 2*z wrt z.
4
Let c(n) be the second derivative of 15*n**4 + 117*n**2/2 + 27*n. What is the first derivative of c(s) wrt s?
360*s
Suppose 14*i - 11*i - 9 = 0. Let q(t) be the first derivative of 0*t**2 - 2 + 5*t + 2/3*t**i. Differentiate q(a) with respect to a.
4*a
Let u(p) = -8*p**4 + 25*p**3 - 8*p**2 + 4*p - 506. Let n(k) = 3*k**4 + 2*k**2 - k. Let x(q) = -4*n(q) - u(q). Differentiate x(f) with respect to f.
-16*f**3 - 75*f**2
Let h be (-34)/(-4) + 1/2. Let k = 6 + -4. Find the third derivative of 13*a**4 + 0*a**2 - 12*a**4 - h*a**k wrt a.
24*a
Let y(l) = -2*l**4 - 4*l + 30. Let u(j) = -j**4 - j - 1. Let v be 6*(-5)/((-15)/(-2)). Let c(q) = v*u(q) + y(q). Find the first derivative of c(r) wrt r.
8*r**3
What is the first derivative of 274 - 168*a**4 + 12*a**4 - 113*a**4 wrt a?
-1076*a**3
Let y(l) be the first derivative of -91*l**6/3 - 166*l**2 - 285. Find the second derivative of y(s) wrt s.
-3640*s**3
Let j(l) be the third derivative of 37*l**5/120 + 13*l**4/24 - 7*l**3/3 + 29*l**2. Let r(h) be the first derivative of j(h). Differentiate r(o) wrt o.
37
Find the second derivative of -104*x - 17*x**5 - 1 + 2*x**3 + 4*x**3 - 114*x + 1 wrt x.
-340*x**3 + 36*x
Differentiate -152*m + 10 + 12*m + 8 - 9 with respect to m.
-140
Differentiate -11*h + 128 + 13*h - 2*h + h**4 + 35 + 23*h**3 with respect to h.
4*h**3 + 69*h**2
Let x(o) = -o**2 - 9*o + 5. Let r be x(-7). What is the third derivative of r*y**4 - 7*y**4 - 3*y**2 + y**4 wrt y?
312*y
What is the third derivative of c**4 - 163*c**5 + 303*c**2 + 11*c**5 + 25*c**2 - 2*c**4 wrt c?
-9120*c**2 - 24*c
Let w(f) be the first derivative of 8 + 10*f + 0*f**2 + 0*f**4 + 8/5*f**5 + 0*f**3. What is the derivative of w(c) wrt c?
32*c**3
What is the third derivative of -30*k**2 + 68*k**2 + 51*k**2 + 355*k**3 + 208*k**2 wrt k?
2130
Let i(c) = 31*c - 8. Let y(g) = 21*g - 5. Let z = 51 + -58. Let s(j) = z*y(j) + 5*i(j). Differentiate s(w) with respect to w.
8
Find the second derivative of -41*m - 6*m**2 - 23189*m**3 + 23164*m**3 + 0*m**2 - 39*m wrt m.
-150*m - 12
Let d(v) be the first derivative of 0*v - 4/3*v**3 + 1 - 11/4*v**4 + 0*v**2. Find the third derivative of d(s) wrt s.
-66
Let r(m) be the second derivative of 0*m**5 - 5/2*m**4 + 7/10*m**6 + 0 + 0*m**3 - 39*m + 0*m**2. What is the third derivative of r(s) wrt s?
504*s
Let t(y) be the second derivative of 0*y**6 + 0*y**4 + 0*y**5 + 2/21*y**7 + 0*y**2 + 11*y + 0 + 13/3*y**3. Find the second derivative of t(u) wrt u.
80*u**3
Let r(n) be the second derivative of 26*n**5 - 76*n**2 - 3*n + 62. Differentiate r(j) with respect to j.
1560*j**2
Let c(p) be the third derivative of 0*p - 7/3*p**3 + 0*p**4 - 4/15*p**5 + 0 - 11*p**2. What is the derivative of c(j) wrt j?
-32*j
Let v(r) be the third derivative of r**7/168 + r**4/8 + 5*r**3/6 + 7*r**2. Let d(j) be the first derivative of v(j). What is the first derivative of d(y) wrt y?
15*y**2
Let x(s) be the second derivative of s**6/30 - 8*s**5/5 + 109*s**3/3 + s**2 + 115*s. Find the second derivative of x(p) wrt p.
12*p**2 - 192*p
Let s = 11 + -6. Suppose -3*a = 12 - 12. What is the second derivative of -9*v**4 + a + 4*v**4 + 0 + s*v wrt v?
-60*v**2
Let t(q) be the second derivative of 1/6*q**4 + 0*q**6 - 5/6*q**3 + 0*q**5 - 3 + 3*q + 1/21*q**7 + 0*q**2. What is the third derivative of t(s) wrt s?
120*s**2
Let h = -14/51 + 121/255. Let r(t) be the first derivative of 0*t**4 - 5/3*t**3 - h*t**5 + 0*t**2 + 0*t - 2. Find the third derivative of r(b) wrt b.
-24*b
Let u(v) = 268*v**3 - 117*v**2 - 2*v - 2. Let a(t) = -537*t**3 + 231*t**2 + 5*t + 5. Let m(w) = 2*a(w) + 5*u(w). Find the third derivative of m(j) wrt j.
1596
Let k(o) be the first derivative of -96*o**5/5 - o**3/3 - 15*o**2/2 - 98. Find the third derivative of k(u) wrt u.
-2304*u
Suppose -3*f + 16 = f. Find the second derivative of 2217*k**4 + 19*k + 11*k - 2246*k**f wrt k.
-348*k**2
What is the third derivative of -3*t**4 + 0*t**4 - 116*t**3 - 15*t**2 + 3*t + 127*t**3 - 3*t wrt t?
-72*t + 66
Let a = -6 + 8. Let u be 0/(-1)*(7 - 6). Find the second derivative of 0 + 14*d**2 - 11*d**a + d + u wrt d.
6
What is the first derivative of 549*s**4 + s**4 - 30 + 128 + 871 + 123*s**4 wrt s?
2692*s**3
Suppose 17*q - 23*q + 36 = 0. What is the second derivative of 5*d + q*d + 6*d**2 + 8*d + 10*d wrt d?
12
Let v = 15 - 9. Suppose 2*x = v*x. Find the second derivative of 8*m**5 - 5*m - 3*m**5 + x*m wrt m.
100*m**3
Let p = -149 + 152. Let q(f) be the second derivative of 0*f**4 - 5/2*f**2 - 3*f - 1/4*f**5 + 0 + 0*f**p. Find the first derivative of q(t) wrt t.
-15*t**2
Let u be 0 + (-75)/10*-6. Let w be u/12 + (-3)/(-12). Find the third derivative of -11*h**5 + 2*h**4 + 6*h**4 + 5*h**2 - 8*h**w wrt h.
-660*h**2
Let v(k) = 9*k**3 + 4*k**2. Let o = -20 - -33. Let f(a) = 19*a**3 + 8*a**2. Let d(g) = o*v(g) - 6*f(g). Find the third derivative of d(h) wrt h.
18
Let a = -57 - -76. Find the second derivative of -v - 9*v**3 + 38*v - a*v wrt v.
-54*v
Let h be (-6)/(-15) + 372/20. Suppose h = 4*j - 13. What is the second derivative of 0*k**2 - 2*k**2 - j*k + 9*k wrt k?
-4
Let v(d) be the third derivative of 0*d**6 + 6*d**2 + 0*d**4 + 0*d + 0*d**3 - 1/60*d**5 + 1/210*d**7 + 0. What is the third derivative of v(m) wrt m?
24*m
Suppose 0 = 4*a + 2*t - 6, 3*a - t - 3 = -3*t. Differentiate 228*w + 56 + 5*w**3 - 227*w - 2*w**3 + a*w**3 with respect to w.
18*w**2 + 1
Let p(d) = d**2 + 8*d + 4. Let a be (-44)/6 + (-4)/6. Let v be p(a). What is the first derivative of v*z**3 - 3*z**3 - 7 + z**3 + 5*z**3 wrt z?
21*z**2
Let h = 45 + -44. Let z be 5/(1 + 1/(-2)). Differentiate 6*a**4 - h - 11 + 30 - z with respect to a.
24*a**3
Let g = 143 + -136. Differentiate -7 - 5*y**2 - 4 - 30*y**2 - g*y**2 wrt y.
-84*y
Let h(l) be the second derivative of 9*l**5/5 - 5*l**4/6 - l**2/2 - 3*l - 9. Find the third derivative of h(t) wrt t.
216
Let m(l) be the second derivative of -l**8/1680 - l**6/36 - 8*l**3/3 - 14*l. Let d(n) be the second derivative of m(n). Find the third derivative of d(c) wrt c.
-24*c
Find the second derivative of -846337 + 574*r + 846337 + 803*r**5 wrt r.
16060*r**3
Let t(m) be the third derivative of 91*m**5/60 - 497*m**3/6 + 7*m**2. What is the first derivative of t(z) wrt z?
182*z
Differentiate -2318*t**2 - 603 - 4*t**4 - 56*t**3 + 2318*t**2 wrt t.
-16*t**3 - 168*t**2
Let a(r) = 2*r**3 + 2*r + 5. Suppose 2*l + l + b + 12 = 0, -4*b = -5*l - 20. Let p(x) = -x**3 - 3*x - 6. Let c(o) = l*p(o) - 6*a(o). Differentiate c(k) wrt k.
-24*k**2
Let f(k) be the first derivative of 56/3*k**3 + 0*k + 28*k**2 + 29. Find the second derivative of f(l) wrt l.
112
Suppose -5*q = -15 - 10. What is the first derivative of -q*f - 9 - 16*f - 6 + 3 wrt f?
-21
Let t(l) = -4*l - 5. Let z be t(-6). What is the third derivative of -40*j**2 - 9*j**3 + 19 + 28*j**3 - z wrt j?
114
Let y(z) = 3*z**4 - 7*z**3 - 11*z**2 + 10*z + 3. Let t(d) = -7*d**3 + d**2 + 1. Let w(v) = t(v) - y(v). What is the second derivative of w(h) wrt h?
-36*h**2 + 24
Suppose 0 = 3*y + o + 31, 5*y + 2*o - 3*o + 41 = 0. Let r = 13 + y. Find the first derivative of 3*l**r + 10 - 6*l**4 + 0*l**4 wrt l.
-12*l**3
Let u(p) = 26*p**5 - 7*p**3 - 22*p**2 - 7*p. Let c(v) = v**3 - 4127 + v - v**5 + 4127. Let h(b) = 14*c(b) + 2*u(b). What is the third derivative of h(l) wrt l?
2280*l**2
Let t(x) = -x + 2. Let z be t(0). Suppose 0 = 4*k + 5*i - z, -6 = 3*i. Find the third derivative of -2 + 2 + 4*p**k + 5*p**2 wrt p.
24
Let w(c) be the third derivative of -1/15*c**7 + 0*c**6 + 0*c - 7/30*c**5 + 0*c**4 + 0 + 17*c**2 + 0*c**3. Find the third derivative of w(a) wrt a.
-336*a
Let q(w) be the first derivative of w**9/1512 + w**6/90 + 16*w**3/3 - 13. Let y(d) be the third derivative of q(d). Find the third derivative of y(t) wrt t.
120*t**2
Let m(p) be the third derivative of p**6/40 + p**4/12 - 323*p**3/6 - 222*p**2. Differentiate m(o) wrt o.
9*o**2 + 2
Let s be (-2 + (4 - 1) - 3) + 6. Find the second derivative of r**s - 2*r**4 + 0*r**4 + 9*r + 8*r wrt r.
-12*r**2
Let g = 3 - -1. Let b = -34 - -38. Find the second derivative of 3*s - 4*s**4 + 10*s**b - 5*s**g wrt s.
12*s**2
Let g = 147 + -144. What is the third derivative of -47 + 44 + 5*n**2 - 24*n**g + 3*n**2 wrt n?
-144
Let s(k) = -123*k**3 - 5*k**2 - 5*k + 10. Let h(z) = 61*z**3 + 3*z**2 + 