a) be the third derivative of 439*a**5/15 - 53*a**4/12 + 1522*a**2. What is the second derivative of p(h) wrt h?
3512
Suppose -w = -3*k + 27, -17 = -4*k + 4*w + 11. What is the derivative of -5*r**3 - 13 + k*r**3 + 22 wrt r?
15*r**2
Find the second derivative of -17*i - 13 - 528*i**5 - 107*i**5 - 340*i**5 wrt i.
-19500*i**3
Let r(h) = -h + 12. Let f be r(16). Let m be (-33)/f - 15/60. What is the third derivative of -m*v**4 - 37*v**2 + v**4 + 7*v**4 - 37*v**4 wrt v?
-888*v
What is the first derivative of 602 + 86*c**2 - 444*c**2 - 436*c**2 - 175*c**2 + 6*c**2 wrt c?
-1926*c
Let q(k) be the first derivative of 0*k**3 + 0*k**2 - 93*k + 43/2*k**4 + 30. What is the derivative of q(h) wrt h?
258*h**2
Let j be ((-2)/(-3) - (-4477)/111) + 3. Differentiate -1956*h - 1858*h + 3957*h - j with respect to h.
143
Find the third derivative of 2505 - 1749*r**4 - 8847*r**2 + 130 + 8845*r**2 wrt r.
-41976*r
Let x(t) be the second derivative of 12*t**7/7 - 2*t**4/3 + 395*t**3 - 3*t**2/2 + 6297*t. What is the second derivative of x(a) wrt a?
1440*a**3 - 16
Let r(w) = -20*w**3 + 36*w**2 - 1302*w - 12. Let m(y) = -18*y**3 + 36*y**2 - 1302*y - 10. Let f(g) = 6*m(g) - 5*r(g). Find the second derivative of f(q) wrt q.
-48*q + 72
What is the first derivative of -16 - 135 - 7*p - 250 - 856 wrt p?
-7
Let m(g) be the third derivative of 0*g**3 + 0*g**4 + 11/20*g**5 - 92*g**2 + 0*g**6 - 25/42*g**7 + 0*g + 0. What is the third derivative of m(p) wrt p?
-3000*p
Let w(z) = -z**2 - 11*z - 27. Let s be w(-7). Let k(j) = j**2 - 9*j + 10. Let y be k(s). Find the first derivative of -39 - 139*r + 139*r - 38*r**y wrt r.
-76*r
Differentiate -400 + 837*k**4 + 9*k**4 + 303*k**4 - 14 with respect to k.
4596*k**3
Let f(c) = 66*c. Let b = 55 - 54. Let s be f(b). What is the derivative of -13*v**2 + 66*v - s*v + 24 wrt v?
-26*v
Let x(m) = 3*m**2 + 103*m - 1823. Let y(z) = 4*z**2 + 100*z - 1820. Let t(f) = 3*x(f) - 2*y(f). Differentiate t(r) with respect to r.
2*r + 109
Suppose -3*j - 5*o + 71 - 55 = 0, 4*j = o + 6. Let m(q) be the first derivative of -19/2*q**j + 0*q + 8*q**3 + 2. What is the second derivative of m(v) wrt v?
48
Let z(q) = 0*q**2 + 6 + 14*q - 3 - 25 - q**2. Let o be z(12). What is the third derivative of -57*l**6 + 3*l**o + 69*l**6 + 4*l**2 wrt l?
1440*l**3
Suppose 7*n = -5*n - 0*n. Find the third derivative of 122*i**3 + 11 - 25*i**3 + n*i**2 - i**2 wrt i.
582
Let y = 36 + -31. Suppose r + 821 + 118 = 4*o, -y*o + 1195 = 3*r. Find the second derivative of 236*f**3 + 6*f - o*f**3 + 12*f**5 wrt f.
240*f**3
Let q = 10 + -7. Differentiate 50*g**q - 47 + 1981*g - 1981*g wrt g.
150*g**2
Let u(l) = 9*l + 5. Let d(s) = -5*s - 3. Let m(o) = 5*d(o) + 2*u(o). Let k be m(-2). Find the first derivative of -17 + 4*q**2 - k - 1 wrt q.
8*q
Let a(w) be the third derivative of 0*w**4 + 0*w + 0*w**3 + 0*w**6 + 2/5*w**5 - 9/56*w**8 + 0*w**7 - 72*w**2 - 1. What is the third derivative of a(n) wrt n?
-3240*n**2
Find the second derivative of -810*v**3 + 1322*v**3 + 154*v + 128*v wrt v.
3072*v
Let f(i) = -7*i**4 - 6*i**2 + 64*i + 1069. Let b(l) = -2*l**4 - 2*l**2 - 2*l + 1. Let v(j) = 3*b(j) - f(j). Differentiate v(c) with respect to c.
4*c**3 - 70
Let s(r) be the third derivative of -r**5/3 + r**4/3 + 1367*r**3/6 - 613*r**2 - 2. What is the first derivative of s(v) wrt v?
-40*v + 8
Let k(d) = 11*d + 215. Let c be k(-19). Find the second derivative of -c*b + 4 - b + 6 + 22*b**3 + 13*b + b wrt b.
132*b
Let i(n) = 4354*n**3 + 56*n**2 - 3822*n + 56. Let w(k) = k**2 - 13*k + 1. Let s(y) = i(y) - 56*w(y). Find the second derivative of s(v) wrt v.
26124*v
Let k(u) = u**3 - 3*u**2 - u + 4. Let z(p) = -4416*p**3 - 14*p**2 - 3382*p + 16. Let g(t) = 4*k(t) - z(t). Find the second derivative of g(b) wrt b.
26520*b + 4
Let a = 11 - -106. What is the first derivative of -8*z**4 - 5*z**4 + z**3 - 10*z**4 + a - 95 wrt z?
-92*z**3 + 3*z**2
Let s(g) be the second derivative of 2253*g**5/20 - 3*g**3/2 + 41*g**2/2 + 9*g - 17. What is the second derivative of s(h) wrt h?
13518*h
Let t(l) be the second derivative of 4*l**7/7 - 37*l**5/20 + 436*l**3/3 + 137*l + 4. Find the second derivative of t(k) wrt k.
480*k**3 - 222*k
Let b be -6 + (-5)/(30/(-48)). Find the first derivative of -161*r**b + 1 + 94*r**2 + 4 wrt r.
-134*r
Find the third derivative of -9*a**4 + 35*a**3 - 5*a**3 + 9*a**4 - 829*a**2 - 3 - 21*a**3 - 71*a**5 wrt a.
-4260*a**2 + 54
Let x = -13717 + 13722. Let y(h) be the first derivative of 18/5*h**x + 17 + 0*h**3 - 8*h**2 + 0*h + 0*h**4. What is the second derivative of y(z) wrt z?
216*z**2
Let u = 402 - 375. What is the first derivative of u*w**2 + 43*w**2 + 57 + 4*w - 92*w**2 + 0*w wrt w?
-44*w + 4
Let p(w) = w + 23 - 2*w + 36 + 5*w**2 + 12*w**2. Let y(o) = -o**2 + o + 1. Let d(r) = -p(r) + 2*y(r). Differentiate d(u) wrt u.
-38*u + 3
Let w(s) be the second derivative of -s**8/28 - s**6/3 - 139*s**4/3 + 4*s - 47. What is the third derivative of w(v) wrt v?
-240*v**3 - 240*v
Let c(l) be the third derivative of 3181*l**7/210 + 205*l**3/6 - 9*l**2 - 41*l. Find the first derivative of c(x) wrt x.
12724*x**3
Suppose 23*q - 15 = 18*q. What is the third derivative of 6*o**3 - 24 - o**2 + 12*o**q + 23 wrt o?
108
Let o(l) = -1339*l**3 + 4*l**2 + 200*l - 5. Let r(j) = 1339*j**3 - 3*j**2 - 203*j + 4. Let q(t) = -4*o(t) - 5*r(t). What is the third derivative of q(s) wrt s?
-8034
Let p = 28876 - 28834. Let h(i) be the third derivative of -p*i**2 + 31/24*i**4 + 0 - 10/3*i**3 + 0*i. Find the first derivative of h(b) wrt b.
31
Let j be ((-24)/5)/(-3 + (-70)/(-25)). Suppose 5*i + j = 34. What is the second derivative of -27*c + 82*c - 38*c + 31*c**i wrt c?
62
Suppose l - 6*l = 3*m - 41, -m - 5*l + 27 = 0. Suppose m - 16 = -3*q. What is the second derivative of -13*x**q + 40*x**3 + 31*x - 90*x + 44*x wrt x?
162*x
Find the third derivative of -72*p**4 - 105*p**4 + 417*p**4 - 7556*p**2 - 10*p**3 - 64*p**4 - 83*p**4 wrt p.
2232*p - 60
Let g(b) be the third derivative of 0*b + 0*b**4 + 41/120*b**6 + 1/60*b**5 + 1/105*b**7 - 2 + 60*b**2 - 25/6*b**3. Find the third derivative of g(m) wrt m.
48*m + 246
Let t be (-104)/(-28) + 0 + 6/21. Differentiate 16*o**3 + 0*o**2 + t*o**2 - 11 - 2*o**2 - 71 with respect to o.
48*o**2 + 4*o
Let d(w) = 1848*w**3 + 7*w**2 - 1153. Let z(m) = -920*m**3 - 4*m**2 + 574. Let y(f) = -4*d(f) - 7*z(f). Differentiate y(r) wrt r.
-2856*r**2
Find the first derivative of w**4 - 10992 + 2*w**4 + 3415 + 16*w**4 - 20*w**4 + 66*w wrt w.
-4*w**3 + 66
Suppose 0 = 10*a - 2*a - 600. Let v = a + -72. What is the third derivative of 6*k**5 - 8*k**5 - 3*k**4 + v*k**4 + 15*k**2 wrt k?
-120*k**2
Let h(x) = -1069*x**3 - 16*x - 1171. Let n(s) = 2*s**3 - 2*s - 1. Let u(t) = h(t) - 8*n(t). Differentiate u(k) wrt k.
-3255*k**2
Suppose 4*t - 4*y = 56 - 8, -3*t - 3*y + 12 = 0. Let b be t*2 - (1 + -5 + 1). Differentiate 2*d - 4*d + 2*d - b*d**3 - 7 wrt d.
-57*d**2
Let p be (0 + 12/10)*275/165. What is the second derivative of -p*x + 11*x**2 + 6*x**2 + 12*x**2 + 1 - 27*x**2 wrt x?
4
Suppose 5*t - 15 = 0, 3*t = -5*y + 575 + 879. What is the third derivative of -19*i**5 + 5*i**2 + 16*i - y*i**5 + 40*i**5 - 8*i**2 wrt i?
-16080*i**2
Let k(p) = 8*p - 2. Let w be k(2). Suppose -49*v + 334 + 107 = 0. What is the derivative of -v*c + c - 9*c - w wrt c?
-17
Let t(m) = -31 - 18 - 7*m + m**2 + 61. Let j be t(5). What is the third derivative of -14*n**6 - 5*n**6 + 6*n**j + 13*n**2 - 19*n**6 wrt n?
-4560*n**3
Let s(l) be the first derivative of 0*l**4 + 0*l - 3/2*l**6 - l**2 + 0*l**5 - 42 - 14/3*l**3. What is the third derivative of s(o) wrt o?
-540*o**2
Suppose -445 = -5*f - v, -13*v + 8*v = 0. What is the derivative of -139*x - 69 - f + 19 wrt x?
-139
Find the first derivative of 917*u**3 - 346 - 360 - 23*u**3 - 2266*u**3 wrt u.
-4116*u**2
Let o(z) be the second derivative of 14*z**5 - z**4/12 + 137*z**2/2 + z - 255. Find the third derivative of o(y) wrt y.
1680
Differentiate 629 + 864*f**4 + 58 - 8 + 351 with respect to f.
3456*f**3
Let s be (3 + -7 - -51) + 2 + -2. Find the first derivative of -70*y**3 + s + 27 + 15 + 20*y**3 - 27 wrt y.
-150*y**2
Find the first derivative of -565*l + 606*l - 22*l - 1027*l - 2526*l + 2951 wrt l.
-3534
Let n = -22 + 29. Suppose -n - 23 = -5*f. What is the first derivative of -z + f*z + 1 + 0 + 3 wrt