ative of d**4/12 - 2*d**3 - 13*d**2/2 - 17*d. Let v(z) be the first derivative of k(z). Differentiate v(s) wrt s.
2
Let p(k) = k**3 - 4*k**2 - 5*k + 2. Let h be p(5). Suppose -34 = -4*j - h. Find the second derivative of r - 23*r**5 - j*r + 16*r**5 wrt r.
-140*r**3
Let h(d) be the third derivative of 167*d**7/210 - 71*d**3/3 - 5*d**2 - 6. What is the first derivative of h(a) wrt a?
668*a**3
Find the second derivative of -c**2 + 1 - c**2 + c**2 + c + 4*c**3 - 22*c - 7*c**3 wrt c.
-18*c - 2
Let t(d) = d**4 + 360*d**3 - 361*d**2. Let f(x) = -2*x**4 - 720*x**3 + 724*x**2. Let s(g) = -5*f(g) - 9*t(g). What is the third derivative of s(p) wrt p?
24*p + 2160
Let w(b) be the third derivative of b**7/42 - b**4/2 + 242*b**3/3 - 64*b**2. Find the first derivative of w(x) wrt x.
20*x**3 - 12
Let v be 4/(-1) - (-14 + -1). What is the third derivative of 14 + 6*r**2 - 14 - v*r**2 + 16*r**3 wrt r?
96
Suppose 0 - 21 = -3*c. Suppose 1 = -3*w + c. Find the second derivative of -5*m**4 + 3*m + m**4 + w*m wrt m.
-48*m**2
Let w(n) = n**3 - 4*n**2 + n + 4. Let k be w(4). Suppose -3*y + k*y - 15 = 0. What is the third derivative of -4*x**6 + 4*x**6 - y*x**6 - x**2 wrt x?
-360*x**3
Let p = 1 + 1. Suppose 0 = p*r + 4 - 12. What is the third derivative of r*g**3 + 5*g**2 - g**3 - 5*g**3 + g**3 wrt g?
-6
Let x(f) = -f**2 - f - 1. Let r(z) = 36*z**2 + 27*z + 4. Let j(s) = -r(s) - 4*x(s). Find the second derivative of j(l) wrt l.
-64
Let f(m) = 5*m**2 + 13*m - 7*m - 1 - 7*m. Let r be f(-1). What is the second derivative of p - 10*p**5 + 5*p**r + p**5 - 4*p**5 wrt p?
-160*p**3
Let v(x) = 80*x**2 + 6*x + 13. Let p(n) = -27*n**2 - 2*n - 4. Let l(q) = 7*p(q) + 2*v(q). What is the derivative of l(c) wrt c?
-58*c - 2
Let m(k) = k**2 - 3*k + 2. Let a be m(5). Suppose 0 = 16*z - 20*z + a. What is the second derivative of z*r**3 + r**3 + 12*r - 4*r wrt r?
24*r
Let g(s) be the second derivative of -83*s**3/2 - 313*s**2/2 + 6*s + 38. Find the first derivative of g(d) wrt d.
-249
Let z(m) be the first derivative of -101*m**3/3 - 3*m**2/2 + 29*m + 46. What is the second derivative of z(j) wrt j?
-202
Let y(a) be the third derivative of 15*a**4/8 - 431*a**3/6 + 19*a**2 - 1. Differentiate y(g) with respect to g.
45
Let g be 2/(-9) + 68/(-18). Let d = -81 + 77. Let o(a) = -a. Let b(c) = -c**3 + c - 1. Let i(y) = d*o(y) + g*b(y). Differentiate i(t) wrt t.
12*t**2
Let t(n) be the second derivative of 38*n**7/21 - n**4/4 - 83*n**3/6 - 3*n**2/2 + 2*n + 64. Find the second derivative of t(s) wrt s.
1520*s**3 - 6
Let d(q) = 53*q**3 + q**2 - 4*q - 93. Let v(z) = 27*z**3 + z**2 - 2*z - 46. Let l(w) = -3*d(w) + 5*v(w). What is the second derivative of l(m) wrt m?
-144*m + 4
Let u(d) be the first derivative of 244*d**7/7 - 224*d**3/3 + 127. Find the third derivative of u(h) wrt h.
29280*h**3
Let y(j) = j**2 - 23*j + 24. Let o be y(22). Differentiate -11*t**3 + 0 + 2 + 16*t**3 - o*t**3 wrt t.
9*t**2
Let n(x) = -x**3 + 4*x**2 - x - 3. Let y be n(3). Let d be (0 + -3)/(2 - y). Find the second derivative of 22*g - d*g**4 + 5*g**4 - 16*g wrt g.
24*g**2
Let a(c) = -c**2 + 7*c - 595. Let x(f) = -4*f**2 + 32*f - 2973. Let l(z) = -11*a(z) + 2*x(z). What is the derivative of l(k) wrt k?
6*k - 13
Find the second derivative of 1 - 94*u + 73*u**2 - 3 + 3 + 80*u wrt u.
146
Let u = 9 + -18. Let z = u + 11. What is the first derivative of -5*i**2 + 3*i**2 + 2 - 2*i**3 + 2*i**z wrt i?
-6*i**2
What is the first derivative of -62*w - 66*w + 39 - 4*w**4 + 128*w - w**3 wrt w?
-16*w**3 - 3*w**2
Suppose -3*w = 2*w - 85. What is the derivative of 21 - w*j - 2*j - 5*j - 4*j wrt j?
-28
Suppose 2 + 0 = -2*h - 3*q, -h + 3*q + 8 = 0. Let v(d) = 6*d**4 + 5*d + 7. Let j(o) = -3*o**4 - 2*o - 3. Let c(w) = h*v(w) + 5*j(w). Differentiate c(b) wrt b.
-12*b**3
Differentiate -11 + 938*k**4 - 865*k**4 - 78 with respect to k.
292*k**3
Let t(x) be the second derivative of 0 - 17/3*x**3 + 0*x**6 + 0*x**2 + 6/7*x**7 + 0*x**4 + 7*x + 0*x**5. Find the second derivative of t(b) wrt b.
720*b**3
Let c(v) be the first derivative of -11*v**4/4 + 157*v + 203. What is the first derivative of c(y) wrt y?
-33*y**2
Let m(q) = 251*q**5 + 4*q**2 + 458*q. Let c(f) = -253*f**5 - 5*f**2 - 461*f. Let n(a) = -4*c(a) - 5*m(a). Find the second derivative of n(s) wrt s.
-4860*s**3
Let z = 4 + 4. Let a = z + -6. Find the second derivative of -5*v**a + v**2 + v + 7*v**2 wrt v.
6
Let y = 75 + -67. Find the third derivative of -10*c**2 - 20*c**6 - 5*c**2 + y*c**2 wrt c.
-2400*c**3
What is the derivative of -102 + 31*q - 50*q - 31*q - 37*q wrt q?
-87
Let g(w) be the second derivative of -15*w**7/14 + 5*w**3/6 + 2*w - 46. Find the second derivative of g(h) wrt h.
-900*h**3
Let a = -66 + 68. Let v(j) be the first derivative of -1 + 4*j + 0*j**a - 3/4*j**4 + 0*j**3. Find the first derivative of v(d) wrt d.
-9*d**2
Let d be ((-18)/4)/(-3)*2. Suppose -b + 21 - 6 = d*p, 0 = -b + 5*p - 17. Find the second derivative of b*z**5 + 13*z**4 - 4*z - 13*z**4 wrt z.
60*z**3
Suppose -3*m + 4*m = 3. Suppose m*i + 32 = 5*i. Find the second derivative of 10*b**2 + 28*b - i*b - 19*b wrt b.
20
Let l(j) = -206*j**2 + 87*j. Let z(g) = 69*g**2 - 29*g. Let a(y) = -6*l(y) - 17*z(y). Find the second derivative of a(r) wrt r.
126
What is the third derivative of 0*o**5 + 67 + 1 + 2*o**5 + 2*o**2 - 3*o**2 + 4848*o**3 - 4906*o**3 wrt o?
120*o**2 - 348
What is the third derivative of 8*d + 12*d + 1762*d**2 + 62*d**3 - 1764*d**2 - 4 + 4 wrt d?
372
Let p(x) be the first derivative of 13*x**7/42 + x**3/6 - 14*x + 3. Let o(f) be the first derivative of p(f). Find the second derivative of o(a) wrt a.
260*a**3
What is the third derivative of 3*a - 46*a**2 + a**2 + 10*a**2 - 16*a**3 + 14*a**2 wrt a?
-96
Let o = 29 - 41. Let h = o + 16. Find the first derivative of -9*n**3 + h - 4 + 1 wrt n.
-27*n**2
Let z(q) be the second derivative of 11/4*q**4 + 17*q + 0*q**3 + 0 - 7/10*q**5 + 0*q**2. Find the third derivative of z(v) wrt v.
-84
Let l(z) be the second derivative of 34*z**6/15 - z**3/3 - 13*z**2 - z - 30. Find the second derivative of l(a) wrt a.
816*a**2
Find the third derivative of 321*o**6 + 267*o**2 - 379*o**2 - 454*o**2 - 285*o**2 wrt o.
38520*o**3
Suppose -4*s = -6*s + 18. What is the first derivative of 2 - 2 - 7 - 1 + s*v**2 wrt v?
18*v
Suppose -33*w + 31*w = -12. What is the derivative of -5 + w*d + 7*d**3 + 6 - 6*d wrt d?
21*d**2
What is the second derivative of 12*t - 7*t - 5*t - 7*t + 30*t + t**3 + 68*t**5 wrt t?
1360*t**3 + 6*t
Let w(b) = -211*b**3 - 12*b**2 - 2*b + 1. Let l(n) = -632*n**3 - 37*n**2 - 7*n + 4. Let x(u) = 2*l(u) - 7*w(u). What is the third derivative of x(r) wrt r?
1278
Let g(h) = 7527*h + 32*h**3 - 15 - 7527*h. Let p(a) = -21*a**3 + 10. Let z(u) = 5*g(u) + 7*p(u). What is the first derivative of z(c) wrt c?
39*c**2
Let x be ((-6)/4)/(8/(-32)). Differentiate 12*s - x*s + 13 - 2*s wrt s.
4
Suppose 0 = 24*b - 22*b - 10. Suppose 2 = 2*x + 5*h + 9, -31 = -4*x + b*h. What is the derivative of -6 + 6*z**x + 2 - 3 - 1 wrt z?
24*z**3
Let a(u) = -2*u - 21. Let q be a(-12). Find the third derivative of 5*h**2 - q + h**2 + 3 - 9*h**4 wrt h.
-216*h
Find the second derivative of -92*j**2 + 22*j + 3 + 5*j - 6*j wrt j.
-184
Suppose 18*b = 21*b - 396. Let c be ((-10)/(-8))/(11/b). Find the third derivative of -5*w**4 - 10*w + c*w + w**2 - 5*w wrt w.
-120*w
What is the second derivative of -140*c**2 - 45*c**2 - 134*c**2 + 42*c**2 + 6*c**2 + 472*c wrt c?
-542
Let z(m) = 9*m**3 + 50*m**2 - 163*m. Let w(x) = -4*x**3 - 23*x**2 + 81*x. Let v(y) = -13*w(y) - 6*z(y). What is the second derivative of v(g) wrt g?
-12*g - 2
Suppose 85*k - 163*k = -312. Let f(b) be the third derivative of 0*b**k + 0*b - b**3 - 4*b**2 + 0*b**5 + 1/30*b**6 + 0. Find the first derivative of f(z) wrt z.
12*z**2
Let v(b) = -722*b - 841. Let r(u) = 1441*u + 1683. Let g(y) = 2*r(y) + 5*v(y). Find the first derivative of g(f) wrt f.
-728
Let p(r) be the third derivative of -r**8/48 - 17*r**7/105 + r**4/12 - 17*r**3/6 + 389*r**2. Find the second derivative of p(i) wrt i.
-140*i**3 - 408*i**2
Let i(b) = 108*b**3 - 197*b**2 + 5. Let t(q) = 108*q**3 - 199*q**2 + 4. Let u(w) = 4*i(w) - 5*t(w). What is the third derivative of u(a) wrt a?
-648
Let s(f) = -f**3 - 6*f**2 + 2*f + 14. Let h be -7*-9*4/(-42). Let o be s(h). What is 