Differentiate -2 + c - 117*d + 24 wrt d.
-117
Suppose -42932 = -4*i + 29*z - 31*z, 5*z - 10751 = -i. Find the first derivative of -14 + 154*s**4 - i*s + 10731*s wrt s.
616*s**3
Let q(x) be the second derivative of 0*x**2 + 59/4*x**4 - 73 + 0*x**3 - 19/4*x**5 + 2*x. Find the third derivative of q(t) wrt t.
-570
Let r(m) be the third derivative of 817*m**9/168 - m**5/30 - 129*m**3/2 + 2*m**2 + 619*m + 2. What is the third derivative of r(c) wrt c?
294120*c**3
Let o = 135 + 1073. Let b = 32 - 30. Find the third derivative of 30*z**3 - b*z**3 + o*z**2 - 1197*z**2 wrt z.
168
Let g(b) be the second derivative of 293*b**8/28 + b**4/6 + 209*b**3/6 - 1601*b. What is the third derivative of g(y) wrt y?
70320*y**3
Let y(z) be the second derivative of -z**8/14 + 23*z**7/42 - 5*z**4/12 + 41*z**3/2 + 525*z. Find the third derivative of y(a) wrt a.
-480*a**3 + 1380*a**2
Let w be (-47)/141*(-162)/2. What is the second derivative of 28*s + 8*s**2 - 71*s**2 + w*s**2 - 199*s**2 wrt s?
-470
Let z = 212 - 324. Let o be (-32)/z + 12/7. What is the derivative of 23*c**o + 1 - 4 + 4 + 1 wrt c?
46*c
Let y(t) = -2*t**4 - t**3 + t. Let o(k) = -262*k**4 + 3*k**3 - 3*k - 698. Let x(r) = o(r) + 3*y(r). What is the derivative of x(z) wrt z?
-1072*z**3
Let x(k) = k**2 - 14*k + 2. Let q be x(14). Let h = 13 - 7. What is the first derivative of 159 - 153 - 2*o**2 + h*o**q wrt o?
8*o
Suppose -30*w + 1393 = -1307. Find the third derivative of 87*f**4 + 293*f**2 - 95*f**2 - w*f**2 wrt f.
2088*f
Let c(z) = 20*z - 73. Let g be c(4). Find the third derivative of -9*r**5 - 3818*r**2 - g*r**5 + 3952*r**2 - r**5 wrt r.
-1020*r**2
Find the second derivative of s**2 + 28*s - 40*s**4 - 663*s**4 - 78603 + 78588 - 578*s**4 wrt s.
-15372*s**2 + 2
Let o(a) be the first derivative of -3*a**4/4 - 122*a**3/3 - 9*a**2/2 - 23*a + 1793. What is the second derivative of o(v) wrt v?
-18*v - 244
Find the second derivative of -2*m - m - 286*m**2 + 8*m - 326*m**2 + 3*m - 30 wrt m.
-1224
Let l(f) be the first derivative of 167*f**6 - 1475*f**3/3 - 27. Find the third derivative of l(k) wrt k.
60120*k**2
Suppose 5*s - 333 = 2*s. Let q = -107 + s. What is the second derivative of -q*p - 8*p - 25*p**3 - 15*p**3 wrt p?
-240*p
Let p(s) be the first derivative of 46*s**3/3 - 84*s**2 - 4*s + 1112. What is the second derivative of p(q) wrt q?
92
Let u(y) be the third derivative of 823*y**7/210 - 1057*y**5/60 + 257*y**2. What is the third derivative of u(q) wrt q?
19752*q
Let p(f) be the first derivative of 0*f + f**2 + 115 + 0*f**4 + 1/7*f**7 + 0*f**5 + 1/3*f**6 + 28/3*f**3. Find the third derivative of p(y) wrt y.
120*y**3 + 120*y**2
Suppose 56*a + 18 = 65*a. Find the second derivative of -53*n**2 + 2 - 72*n**a + 53*n**2 + 2*n wrt n.
-144
Let o = -11878 - -11882. Let s(r) be the first derivative of 11/4*r**o + 0*r + 0*r**3 + 3 - 2*r**2. Find the second derivative of s(u) wrt u.
66*u
Let v(z) be the first derivative of 13*z**4/2 + z**3 - 15*z**2/2 - 3170*z + 7172. What is the derivative of v(b) wrt b?
78*b**2 + 6*b - 15
Let u(h) = 2*h**3 - 70*h**2 + 11. Let c be u(35). Let l(g) be the second derivative of 0 - 9/2*g**2 + c*g - 3*g**3. Find the first derivative of l(s) wrt s.
-18
Let m(v) = -v**3 + 4*v**2 + 2. Let t(g) = 1463*g**3 + 12*g**2 - 605. Let s(z) = 3*m(z) - t(z). Differentiate s(w) wrt w.
-4398*w**2
Suppose 3*p + 88 = 4*u + 7*p, 0 = 5*u + p - 118. Let v be 3*u/(-14)*140/(-8). What is the second derivative of 2*c**5 - 12*c**5 + v*c - 50*c wrt c?
-200*c**3
Suppose -53 = 23*j - 168. Find the first derivative of 420 - 354 - 16*l + 44*l + j*l**2 + 0*l**2 - l**2 wrt l.
8*l + 28
Find the third derivative of -2 - 2049*s**2 - 1854*s**3 - 439*s**3 - 2694*s**3 - 801*s**3 + 25*s**3 wrt s.
-34578
Let t(k) = -590*k**4 + 2*k**3 + 3*k**2 + 1876*k - 1. Let q(c) = c**4 - 2*c - 1. Let h(u) = 2*q(u) - t(u). Find the second derivative of h(z) wrt z.
7104*z**2 - 12*z - 6
Suppose 0 = 15*n - 93 - 282. What is the first derivative of n + 23*z**3 - 2*z - 36*z**3 + 15*z**3 wrt z?
6*z**2 - 2
Find the second derivative of -3310*y**5 + 7295 - 3650 + 8679*y - 3645 wrt y.
-66200*y**3
Let a(s) be the second derivative of -7*s**5/10 + s**4/3 + 13645*s**3/6 + 8465*s. Find the second derivative of a(f) wrt f.
-84*f + 8
Let z(b) = -b**2 + 6*b + 74. Let u be z(-6). Let w(p) be the first derivative of 0*p**u - 13/3*p**3 - 14 + 5*p. Find the first derivative of w(f) wrt f.
-26*f
What is the derivative of 87*l + 144*l - 86*l + 57*l - 887 wrt l?
202
Let g(u) be the second derivative of 1061*u**3/6 - 859*u**2/2 + 105*u + 4. Find the first derivative of g(k) wrt k.
1061
What is the third derivative of -1515*o**4 - 44*o**2 - 6*o**2 + 11*o**2 + 17*o - 15*o**2 wrt o?
-36360*o
Find the first derivative of -248 - 1323 - 74*p**3 - 1630*p**3 - 48*p**3 wrt p.
-5256*p**2
Let l(n) = -6*n - 5 + 7*n + 4*n + n + n**2. Let y be l(-7). Find the second derivative of 154*p**2 - 171*p**y + 14*p + 4*p wrt p.
-34
Let s(r) be the second derivative of -r - 128*r**2 + 19 - 13/20*r**5 + 0*r**4 - 1/30*r**6 + 0*r**3. What is the first derivative of s(k) wrt k?
-4*k**3 - 39*k**2
Let v(g) be the first derivative of -g**6/3 - 624*g**5/5 - 5*g**3 + 54*g - 1470. Find the third derivative of v(k) wrt k.
-120*k**2 - 14976*k
Suppose 0 = -v - 2*t + 9, -3*t = t. Suppose n - 11 = -4*y, n = 3*y - 1 - v. Differentiate -19 - 9*w + 9*w - 14*w**y wrt w.
-42*w**2
Let c(d) be the second derivative of d**7/35 - d**5/6 - 27*d**2 + 56*d. Let h(l) be the first derivative of c(l). What is the third derivative of h(m) wrt m?
144*m
Let p(w) be the third derivative of 0*w + 0*w**3 + 0 + 0*w**4 + 205*w**2 + 59/30*w**5 - 77/30*w**6. Find the third derivative of p(f) wrt f.
-1848
Let s(x) be the third derivative of -x**8/168 + 89*x**7/210 + x**6/120 + 9331*x**5/60 + 13*x**2 - 412. Find the third derivative of s(o) wrt o.
-120*o**2 + 2136*o + 6
Suppose 5*v - 3*v = -2. Let w = v + 5. What is the first derivative of 6 + 4 + 6 - 7*a**w - 15 wrt a?
-28*a**3
Let a = -37 + 57. Let h = a - 16. Find the second derivative of -19*b**h - 2*b - 2*b + 11*b wrt b.
-228*b**2
Let b(y) = 3793*y**3 + 3128*y**2 - 3. Let t(j) = -11382*j**3 - 9387*j**2 + 8. Let m(f) = -8*b(f) - 3*t(f). Find the third derivative of m(r) wrt r.
22812
Suppose 3*u = 5*s + 11 - 4, u - 5*s + 1 = 0. Differentiate -25*t + 12*t + t**u + 6*t + 117 + 7*t with respect to t.
4*t**3
Let c(n) = 6*n + 57. Let t be (-14)/2 + 0*(-3)/6. Let m be c(t). Find the second derivative of 6*y - 6*y**4 - 6*y**4 + 22*y + m*y wrt y.
-144*y**2
Let j = 1592 - 1571. Suppose 3*q - q = 12. What is the third derivative of 15*g**2 - 6 + q - j*g**3 wrt g?
-126
Let b(g) be the third derivative of 2279*g**8/336 - 113*g**4/3 + g**3/6 + 76*g**2 + 8. What is the second derivative of b(u) wrt u?
45580*u**3
Suppose 4*h = -26 + 38. Find the third derivative of -3*p**2 - 91*p**3 + 36*p**h - 55*p**2 wrt p.
-330
Let p(q) = -35*q**3 + 15*q**3 + q**2 + 19*q**3. Let b(j) = -20*j**3 + 11*j**2 - 8. Let m(s) = -4*b(s) + 44*p(s). Differentiate m(c) wrt c.
108*c**2
Let z(o) be the second derivative of o**7/21 + 13*o**6/5 + o**4/4 + 19*o**3/2 - 21*o**2 + 5*o + 212. What is the second derivative of z(v) wrt v?
40*v**3 + 936*v**2 + 6
Let g = 1053/326 - -44/163. Let h(m) be the second derivative of 5/6*m**4 + 0 - 26*m + g*m**3 + 0*m**2. Find the second derivative of h(y) wrt y.
20
What is the third derivative of -4*b**2 - 6*b**5 - 579*b**6 - 1101*b + 4*b**5 + 995*b wrt b?
-69480*b**3 - 120*b**2
Let w(c) be the second derivative of -285/2*c**2 + 8*c + 221/6*c**3 - 15. What is the derivative of w(t) wrt t?
221
Let l(y) be the third derivative of -367*y**9/42 + 22*y**5/15 + 103*y**2 - y + 4. What is the third derivative of l(i) wrt i?
-528480*i**3
What is the third derivative of -r**3 + 149207*r**5 - 149197*r**5 - 19*r**4 + 4*r**3 + 18*r - 2*r**3 + 19*r**2 wrt r?
600*r**2 - 456*r + 6
Let p(r) = -2*r**2 + 2*r + 12. Let c be p(4). Let o be 5 + -3 + 1 - c. What is the third derivative of -9*f**4 + 28*f**2 - 9*f**2 + o*f**4 wrt f?
144*f
Let c be (-83619)/(-189) + 18/7 + -2. What is the second derivative of 3*t**3 + 516*t - 1014*t + c*t + 3*t**2 wrt t?
18*t + 6
Suppose 861 = 59*j + 2100. Let m(c) = -28*c + 42. Let u(a) = 1 - a + 8 - 8*a + 5. Let g(b) = j*u(b) + 6*m(b). Differentiate g(l) wrt l.
21
Let g