
817
What is the derivative of 446 - 905*w - 398*w + 1736*w wrt w?
433
Find the second derivative of -86*d**4 + 62*d - 48*d**4 - 116*d + 2 wrt d.
-1608*d**2
Let n(c) = c**2 - 13*c - 27. Let g be n(16). What is the third derivative of -g*b**2 + 995 - 26*b**4 - 995 wrt b?
-624*b
Let v(s) be the first derivative of 11*s**6/360 - 5*s**4/6 - 22*s**3/3 + 21. Let m(z) be the third derivative of v(z). Differentiate m(f) with respect to f.
22*f
Let w(t) be the third derivative of -34*t**4/3 + 229*t**3/6 + 228*t**2. Find the first derivative of w(q) wrt q.
-272
Let g(b) = 3*b**2 + 3*b + 15. Let x be g(-3). What is the second derivative of -23*z**5 + 2*z - x*z - 8*z + 2*z wrt z?
-460*z**3
What is the third derivative of -133*o**4 + 133*o**4 - 568*o**2 + 418*o**6 + 70*o**2 wrt o?
50160*o**3
Let c(y) be the third derivative of 0*y**6 - 13*y**2 + 0*y + 0*y**4 + 7/6*y**3 + 1/35*y**7 + 0*y**5 + 0. What is the derivative of c(j) wrt j?
24*j**3
Let a(i) = i**4 + i**3 + i**2 + i + 1. Let n(f) = 16*f**4 - 6*f**3 - 6*f**2 - 6*f + 108. Let k(r) = 6*a(r) + n(r). What is the first derivative of k(h) wrt h?
88*h**3
Let t = -51 + 58. Differentiate -t - 32*d + 63*d - 29*d wrt d.
2
Suppose 3*s + 3 = 0, 3*v + 0*s + 2*s = 7. Find the second derivative of -19*r**v - 19*r - 5*r**3 + 12*r wrt r.
-144*r
Let u be -1*-1*(-1 + 3). Suppose 4*p - d - 13 = 0, u*d = 4*p - 3 - 11. What is the third derivative of -3*o**3 + 2*o**4 + 3*o**p + 3*o**2 wrt o?
48*o
Let u(q) be the third derivative of -13*q**4/12 + 164*q**3/3 + 268*q**2. What is the derivative of u(g) wrt g?
-26
Let f be 1/(-4) - (-468)/16. What is the first derivative of -6*z - 17*z + f*z + 4 wrt z?
6
Let r(x) be the second derivative of -10*x + 9/2*x**2 + 0*x**3 + 0 - 3/20*x**5 + 0*x**4. Differentiate r(u) with respect to u.
-9*u**2
Let r(y) be the first derivative of 107*y**4/4 + 9*y**2/2 - y - 113. What is the second derivative of r(a) wrt a?
642*a
Let b(w) be the second derivative of -4*w**3/3 - 83*w**2/2 - 93*w. What is the first derivative of b(c) wrt c?
-8
Let x = -8 + 13. Suppose -4*n = 3*v - 0*n + 16, x*n + 20 = -3*v. What is the third derivative of 3*o**4 + v*o**4 - 5*o**2 - 4*o**4 wrt o?
-24*o
Let r(b) = 564*b**2 + 22*b - 540. Let x(t) = 282*t**2 + 12*t - 269. Let c(m) = 6*r(m) - 11*x(m). What is the derivative of c(w) wrt w?
564*w
Let n(z) be the second derivative of -71*z**3/2 + 43*z**2 + 257*z. What is the derivative of n(r) wrt r?
-213
What is the derivative of 18 + 57 - 5*k**2 - 10 - 6*k**2 wrt k?
-22*k
What is the third derivative of -89*y**2 - 2423*y**6 + 2304*y**6 + 174*y**2 + 195*y**2 wrt y?
-14280*y**3
Let c(v) = 84*v**2 - 131*v + 5. Let b(j) = -42*j**2 + 66*j - 3. Let z(u) = -5*b(u) - 3*c(u). What is the second derivative of z(r) wrt r?
-84
Let s = -33 + 54. What is the second derivative of -22 + 10 + s*q + 12 + 7*q**2 wrt q?
14
Let w(o) be the first derivative of 0*o - 1/2*o**2 + 0*o**5 - 1/6*o**6 + 0*o**4 - 6 + 0*o**3. Find the second derivative of w(i) wrt i.
-20*i**3
Let t(p) = -63*p - 90. Let r(x) = -3*x + 1. Let j(z) = r(z) + t(z). Differentiate j(n) with respect to n.
-66
Let r(o) be the second derivative of 0*o**5 - 29*o + 0*o**3 - 4/21*o**7 + 0 + 0*o**2 - 13/6*o**4 + 0*o**6. Find the third derivative of r(f) wrt f.
-480*f**2
Let o(j) = -11*j - 30. Let b be o(-3). Let g(n) be the second derivative of -n + 5/6*n**b + 1/12*n**4 + 0 + 0*n**2. What is the second derivative of g(i) wrt i?
2
Find the second derivative of 106*p**2 - 30*p**2 + 2*p - 22*p**2 + p**3 - 40*p**2 wrt p.
6*p + 28
Let b(m) = 5*m**3 + 18*m**2 + 3*m + 70. Let s(j) = 4*j**3 + 17*j**2 + 2*j + 69. Let p(t) = -2*b(t) + 3*s(t). Differentiate p(x) with respect to x.
6*x**2 + 30*x
Let r(s) be the second derivative of s + 0*s**2 + 0*s**6 + 0*s**4 + 1/20*s**5 + 35/6*s**3 + 5/7*s**7 - 24. What is the second derivative of r(p) wrt p?
600*p**3 + 6*p
Suppose 0 = -2*c + 3*n + 987, 0*c - 3*c + 1513 = 2*n. Find the second derivative of -501*x**3 + 6*x**4 - 2*x + c*x**3 wrt x.
72*x**2
Let s(u) = -372*u**2 - 333*u + 6. Let q(i) = -374*i**2 - 334*i + 9. Let h(t) = -2*q(t) + 3*s(t). What is the second derivative of h(o) wrt o?
-736
Let v(d) = d**2 - 4*d + 9. Let u be v(6). Let k = -11 + u. Differentiate -4 + 4*x**3 + 2*x**3 - k*x**3 wrt x.
-12*x**2
Let x(w) be the first derivative of 9*w**5/5 - 7*w**4/2 + 2*w**3/3 - 52*w**2 - 196. Find the third derivative of x(u) wrt u.
216*u - 84
Let q(z) be the second derivative of 0*z**3 + 37/12*z**4 + 0 - 25*z + 0*z**2 - 3/5*z**6 + 0*z**5. What is the third derivative of q(n) wrt n?
-432*n
What is the third derivative of 707*c**6 + 410*c**2 + 53*c - 53*c + 5 - 5 wrt c?
84840*c**3
Let v(h) = -h - 1. Let n(j) = j**2 - 4*j - 11. Let a be n(6). Let s(k) = 24*k + 22. Let i(y) = a*s(y) - 2*v(y). Differentiate i(w) with respect to w.
26
Let b(j) = 2*j**2 - 5*j - 3. Let d be b(-2). Differentiate -11*c**2 - d*c**2 - 30 - 5*c**2 wrt c.
-62*c
Let p = -4 - -7. Suppose i + 6 = p*i. What is the second derivative of 44 - 44 - 6*f + f**3 - 2*f**i wrt f?
-6*f
Let x = 8 - 9. Let g = x + 5. What is the first derivative of -4*c**2 + 1 + 2 + 4*c**2 + 5*c**g wrt c?
20*c**3
Let j = -66 + 69. Find the third derivative of -5*b**6 - 8*b**6 - 5*b**6 - 17*b**2 - j*b**2 wrt b.
-2160*b**3
Let w(f) = 2*f + 7. Let c be w(-2). Differentiate -n**3 + 19 + c*n**3 - 10 - 14 wrt n.
6*n**2
Let x(p) be the second derivative of p**6/15 + 33*p**5/4 + 11*p**3 + 2*p**2 + p + 266. What is the second derivative of x(m) wrt m?
24*m**2 + 990*m
Suppose -3*y - u - 3 = -4*u, -2*y + 19 = 5*u. What is the second derivative of 25*w**y - 5*w + 10*w + 10*w wrt w?
50
Let v(z) be the first derivative of -87*z**6 - 32*z**3 + 356. What is the third derivative of v(x) wrt x?
-31320*x**2
Suppose -4*v = a - 3*v + 2, v = 3*a - 10. What is the third derivative of -5*m**2 + 8*m**a - 10*m**5 - 4*m**5 wrt m?
-840*m**2
Let n(a) = -132*a + 298. Let x(o) = -397*o + 892. Let d(w) = -11*n(w) + 4*x(w). Find the first derivative of d(l) wrt l.
-136
Suppose -2*l + 4 = -0. Find the third derivative of 3*r**5 - 5*r**2 + 2*r**5 + 6*r**l - 11*r**2 wrt r.
300*r**2
Let r(o) be the second derivative of -19*o**8/56 - o**7/14 - 155*o**4/12 - o**3/3 + 85*o + 2. Find the third derivative of r(z) wrt z.
-2280*z**3 - 180*z**2
Let b = -4 + 24. Suppose -b = -c - 4*c. Find the third derivative of -2*g**2 - 4*g**4 - g**2 + 8*g**c wrt g.
96*g
Let a(g) be the first derivative of -85*g**4/4 + 119*g**3/3 + 440. Find the third derivative of a(o) wrt o.
-510
Find the second derivative of -48*b**2 + 72*b - 23*b**2 - 2*b - 11*b**2 wrt b.
-164
Let v(o) = -36*o**2 + 67*o - 3. Let r(b) = 37*b**2 - 68*b + 4. Let s(t) = -3*r(t) - 4*v(t). What is the second derivative of s(m) wrt m?
66
Let u(q) = 15*q**3 + 5*q**2 - 21*q - 10. Let l(k) = -22*k**3 - 8*k**2 + 31*k + 16. Let f(i) = 5*l(i) + 8*u(i). What is the second derivative of f(z) wrt z?
60*z
Let a(k) = -162*k**2 + 219*k + 4. Let z(l) = 323*l**2 - 434*l - 9. Let b(y) = -9*a(y) - 4*z(y). What is the second derivative of b(d) wrt d?
332
Let v(b) be the first derivative of 19*b**4/24 - b**3 + 10*b**2 + 21. Let r(p) be the second derivative of v(p). What is the first derivative of r(n) wrt n?
19
Let i(y) be the second derivative of -y**7/21 - 199*y**6/15 + 53*y**4/12 + 7*y**2/2 + 38*y - 7. Find the third derivative of i(x) wrt x.
-120*x**2 - 9552*x
Suppose -3*l - l - 24 = 0. Let r be 1 - l/(4 - 2). What is the derivative of -38 - r*m**4 + 43 + m**4 wrt m?
-12*m**3
Let f = -18 - -18. Suppose f = -4*m + 5*c - 21, 3*c - 4*c = -5*m. Find the first derivative of -5 - m + 3 - 8*h**4 - 2 wrt h.
-32*h**3
Let g(u) be the first derivative of 191*u**4/4 + 110*u**3/3 - 150. Find the third derivative of g(c) wrt c.
1146
Let x(d) be the first derivative of -505*d**6/6 + 437*d**3/3 - 466. What is the third derivative of x(l) wrt l?
-30300*l**2
Let t(z) = -4*z + 2. Let l(c) = -5*c + 5. Let x(s) = -6*s + 6. Let f(k) = 5*l(k) - 4*x(k). Let w(m) = -2*f(m) - t(m). Differentiate w(v) with respect to v.
6
Find the first derivative of 90*f**4 + 752*f**2 - 752*f**2 - 87 wrt f.
360*f**3
Suppose 3*m = -4*n + 29, n - 20 = 4*m - 9*m. Suppose 5 = v - n. Find the third derivative of -2*f**3 + 2*f**3 - v*f**4 + 16*f**2 - 21*f**2 wrt f.
-240*f
Let f(g) = g**3 - 2*g + 1. Let x(y) = 2*y**4 + 6*y**