- 3*w + 3 wrt w.
-4
Let i(q) be the third derivative of -269*q**6/60 + q**5/2 - q**3/6 + 322*q**2. Find the third derivative of i(y) wrt y.
-3228
Let i(g) be the first derivative of 25 - 43/4*g**4 + 0*g**3 + 37/2*g**2 + 0*g. What is the second derivative of i(x) wrt x?
-258*x
Let h(q) = -4*q - 7. Let s be h(-9). Find the third derivative of s*g**2 - g**4 - 40*g**2 - g**4 wrt g.
-48*g
Find the first derivative of 29 + 9*r + 39*r - 193 wrt r.
48
Let y(o) be the third derivative of o**8/168 - o**6/40 - o**4/24 - 7*o**3/2 - 7*o**2 - 1. What is the second derivative of y(k) wrt k?
40*k**3 - 18*k
Let h(l) = -295*l**2 - 11*l - 6. Let b(g) = g**2 + g + 3. Let c(i) = -4*b(i) - h(i). Find the second derivative of c(t) wrt t.
582
Let a be (-42)/(-68) - 8/204*3. Let z(c) be the second derivative of 0*c**2 + 1/3*c**4 - 5*c + a*c**3 + 0. What is the second derivative of z(f) wrt f?
8
What is the second derivative of 10 - 95*s**2 + 1 - 24 - 4*s + 2 wrt s?
-190
What is the second derivative of 2 + 35*x + 210*x + 263*x**5 + 134*x - 65*x + 76*x**5 wrt x?
6780*x**3
Let q(t) be the third derivative of -107*t**9/126 + 421*t**5/60 + 882*t**2. What is the third derivative of q(u) wrt u?
-51360*u**3
Let z(s) be the second derivative of 0 - 19*s - 4*s**3 - 21/2*s**2. What is the derivative of z(r) wrt r?
-24
Suppose 0 = -5*h, 4*v - 5*v + 2*h + 4 = 0. Find the third derivative of -11*x**2 - x**3 - 24*x**v - 6*x**2 + 34*x**4 - 2*x wrt x.
240*x - 6
Let j(n) = 4*n**4 - 14*n**3 - 149*n**2 + 5. Let f(m) = 2*m**4 - 8*m**3 - 74*m**2 + 2. Let l(o) = 5*f(o) - 2*j(o). Find the third derivative of l(y) wrt y.
48*y - 72
Let p = 202/5 + -586/15. Let f(m) be the first derivative of 6 - 1/2*m**2 + 0*m + p*m**3. Find the second derivative of f(n) wrt n.
8
What is the third derivative of 5932*k - 19*k**6 + 234*k**2 + 3*k**4 - 5932*k + 3*k**6 wrt k?
-1920*k**3 + 72*k
What is the third derivative of -109*y**6 - 68*y**6 + 44*y**2 + 53*y**2 + 9*y**6 + 5*y**2 wrt y?
-20160*y**3
What is the derivative of 448 - 9*b**2 + 31 + 206*b**2 - b**4 wrt b?
-4*b**3 + 394*b
Let k(o) = o + 24. Let a be k(-18). Let s be 1/3*(3 + 3). What is the second derivative of d**4 - a*d**4 - 6*d + s*d + d**4 wrt d?
-48*d**2
What is the derivative of -11*u - 49 + u**3 + 14*u - 24*u wrt u?
3*u**2 - 21
Let w(v) be the first derivative of -v**4/2 + 124*v**3/3 - 239*v**2 + 779. Find the second derivative of w(p) wrt p.
-12*p + 248
Let b(l) = -1507*l - 5588. Let s(o) = 58*o + 215. Let q(h) = -3*b(h) - 77*s(h). Find the first derivative of q(t) wrt t.
55
Let k(p) be the third derivative of 0*p**3 - 29/24*p**4 + 0*p**6 + 0*p - 8*p**2 + 0 + 0*p**5 + 3/70*p**7. What is the second derivative of k(w) wrt w?
108*w**2
Let g(o) be the second derivative of 13/12*o**4 + 0*o**2 + 0 + 0*o**3 - 18*o - 2/5*o**6 + 0*o**5. Find the third derivative of g(k) wrt k.
-288*k
Let i(f) be the third derivative of -3/35*f**7 + 0*f + 0*f**5 + 0 + 0*f**4 + 37*f**2 + 0*f**6 + 2*f**3. What is the first derivative of i(d) wrt d?
-72*d**3
What is the third derivative of -226*q**3 + 250*q**3 + 18*q**2 + 279*q**3 + 206*q**3 + 12 wrt q?
3054
Let o(r) = 84*r - 579. Let h(x) = 336*x - 2318. Let c(s) = 2*h(s) - 9*o(s). What is the first derivative of c(w) wrt w?
-84
Let t(g) be the second derivative of 0 - 5*g + 0*g**5 - 7/30*g**6 - 29/6*g**3 + 0*g**4 + 0*g**2. Find the second derivative of t(k) wrt k.
-84*k**2
Let w(c) be the first derivative of 190*c**3/3 + c**2 + 57*c - 19. Find the second derivative of w(p) wrt p.
380
What is the first derivative of -130261*p + 130519*p + 207 + 498 wrt p?
258
Let y be 2/((-4)/1 + 5). Suppose -y*g = -5*g + 6. What is the third derivative of 2*w**3 - 6*w**2 + 7*w**g + 4*w**2 wrt w?
12
Let h(x) be the second derivative of x**5/24 - 19*x**4/12 + 4*x**3 - 42*x. Let f(q) be the second derivative of h(q). Find the first derivative of f(d) wrt d.
5
Find the second derivative of -279 + 143 - 143*d**4 - 53*d + 137 - 55*d wrt d.
-1716*d**2
Let m(o) be the third derivative of -34*o**2 + 0 + 19/12*o**4 - 11/2*o**3 + 0*o. Find the first derivative of m(w) wrt w.
38
Let n(j) be the second derivative of j**4/12 - j**3/6 - j**2/2 + 18*j. Let k(v) = -v**2 + 2*v + 13. Let r(p) = k(p) + 2*n(p). Differentiate r(y) wrt y.
2*y
Let m(j) = j**3 - 6*j**2 + 9*j + 1. Let c be m(4). Find the first derivative of -14 + c*b**4 - 17*b**4 - 26*b + 26*b wrt b.
-48*b**3
Let b(k) be the third derivative of -k**7/15 - k**6/40 + 313*k**3/3 + 803*k**2. Differentiate b(p) with respect to p.
-56*p**3 - 9*p**2
What is the second derivative of -11*y**2 - 28*y - 23*y**2 - 40*y + y**2 wrt y?
-66
Let l(b) = 112*b**2 + 2*b - 91. Let w(h) = -h**2 - h + 2. Let r(q) = l(q) + 2*w(q). What is the derivative of r(x) wrt x?
220*x
Suppose 2*n - 875 - 4 = g, -5*n + 2205 = -4*g. Find the second derivative of 17*v**5 - n*v**4 + 437*v**4 - 16*v wrt v.
340*v**3
Let c = 34 - 39. Let v(h) = 31*h**4 + 18*h - 5. Let d(s) = 46*s**4 + 27*s - 7. Let r(n) = c*d(n) + 7*v(n). What is the second derivative of r(x) wrt x?
-156*x**2
Suppose 0 = 8*q - 3*q - 25. What is the second derivative of -5*r**5 + r - 6*r - r**5 + 15*r**q wrt r?
180*r**3
Let f(h) be the first derivative of -32*h**5/5 + 72*h + 25. Differentiate f(c) wrt c.
-128*c**3
Suppose 2*m - 5*o + 2 = -10*o, -4*o - 8 = 0. What is the third derivative of 12*f**5 - m*f**2 + 12*f**2 + 0*f**5 + 6*f**2 wrt f?
720*f**2
Let m(w) be the second derivative of w**6/6 - 7*w**5/20 + 3*w**4/2 - w**2/2 + 25*w. What is the third derivative of m(k) wrt k?
120*k - 42
Let l = -82 + 84. What is the third derivative of 6*j**l - 5*j**3 - 18*j**3 + 20*j**2 + 0*j**3 wrt j?
-138
Let c(y) be the first derivative of 37/5*y**5 + 0*y**3 + 17/2*y**2 + 0*y + 0*y**4 + 11. Find the second derivative of c(j) wrt j.
444*j**2
Let s(w) be the third derivative of -33*w**6/10 - 61*w**4/24 + w**3/2 - 30*w**2 - 5. What is the second derivative of s(v) wrt v?
-2376*v
Suppose -3*o - g = -2 + 1, 5*o + 4*g = -10. What is the third derivative of 6*w**2 - 8*w**4 + 5*w**2 - 7*w**o wrt w?
-192*w
Let w(m) be the first derivative of -3*m**6/10 + 35*m**4/12 + 18*m + 8. Let n(v) be the first derivative of w(v). Find the third derivative of n(f) wrt f.
-216*f
Let g(s) = 5*s**2 - 3*s + 2. Suppose 18*q + 6 = 20*q. Let m(o) = 6*o**2 - 2*o + 3. Let r(f) = q*g(f) - 2*m(f). Find the second derivative of r(h) wrt h.
6
Let g = 11 - 9. Suppose -g*d + 0*d = -t + 9, -d = t. Find the second derivative of m**3 - 2*m - 3*m**t - 5*m + 0*m**3 wrt m.
-12*m
Let g be 7/((-21)/12) + 9. Find the third derivative of 371*b - 15*b**2 - 371*b + 7*b**g wrt b.
420*b**2
Let w(j) = -3*j + 119*j**2 - 1 + 5*j**5 - 114*j**2 - 2. Let o(y) = -y**5 + y + 1. Let g(s) = 12*o(s) + 4*w(s). What is the third derivative of g(c) wrt c?
480*c**2
Let c(r) = -34*r - 1. Let s be -2 - 1*(-3 - -2). Let f be c(s). What is the second derivative of -y - 29*y**3 - y + f*y**3 wrt y?
24*y
Let w(a) = -2*a**2 - a. Let c be w(-2). Let u be (-30)/(-8) - c/(-8). Find the first derivative of 2 - 6*g - u + 2 wrt g.
-6
Let i(t) be the third derivative of 37*t**6/120 + t**5/60 + 211*t**3/2 + 222*t**2. What is the third derivative of i(n) wrt n?
222
Let l(v) = v. Let g(b) = 2*b**4 - 12*b. Let p be -2*(4 + -6) - 74. Let t(k) = p*l(k) - 5*g(k). Find the second derivative of t(j) wrt j.
-120*j**2
What is the third derivative of 244*i**3 + 5*i + 17*i**2 - 244*i**3 - 5*i + 71*i**6 wrt i?
8520*i**3
Let z(k) = 3*k**4 + 2*k**3 + 5*k**2 + 121. Let d(r) = -r**4 - r**3 - r**2. Let t(a) = -5*d(a) - z(a). What is the derivative of t(b) wrt b?
8*b**3 + 9*b**2
Let b(p) = p**3 - 6*p**2 - 13*p - 8. Let z be b(8). Suppose 0 = -4*f + z + 32. Differentiate -f*m + 10 + 12*m - 7*m**2 with respect to m.
-14*m
Let r(f) be the second derivative of f**3/6 + 11*f**2/2 + 2*f. Let h be r(-9). Find the third derivative of -q**h - 3*q**2 + q**3 + 5*q**2 wrt q.
6
Let l(x) be the third derivative of -1/84*x**8 + 0*x**3 + 0 + 0*x**7 - 20*x**2 + 0*x + 0*x**6 + 1/60*x**5 + 0*x**4. What is the third derivative of l(k) wrt k?
-240*k**2
Let b(g) = -g - 6. Let p be b(-8). Suppose 3*l - p*l = 0. What is the second derivative of -6*t - 2*t + 3*t**5 + l*t + 3*t wrt t?
60*t**3
Let p(d) be the first derivative of 99*d**4/4 + 2*d**3/3 - 3*d + 99. What is the third derivative of p(v) wrt v?
5