- z + 4 = -3, -v = -2*z + 5. What is the third derivative of 33*f**3 + 51*f**2 + 39*f**3 - 74*f**v + 26*f**6 + 9*f**2 wrt f?
3120*f**3 - 12
Suppose -7*p = -3*p - 16. Let v be 1275/34 - (-2)/p. Differentiate 2*c**2 - 6*c**2 - v - 17*c**2 + c**2 with respect to c.
-40*c
Suppose 2*p = 461 - 453. Find the second derivative of -178325 - 169*m**p - 189*m + 178325 wrt m.
-2028*m**2
Let y(v) = 32*v**2 + 16*v - 4755. Let l(q) = 16*q**2 + 5*q - 2375. Let w(a) = 7*l(a) - 3*y(a). What is the first derivative of w(r) wrt r?
32*r - 13
Let u be ((2 - -26) + -5)/(-1). Let z = u + 52. What is the second derivative of 4*o**5 - z*o**5 - 19*o + o**5 wrt o?
-480*o**3
What is the second derivative of 60*u**3 + 21 + 53*u**3 - 131*u**4 - 954*u - 114*u**3 + 2*u**2 - 21 wrt u?
-1572*u**2 - 6*u + 4
Let l(d) = 2*d - 25. Let c be l(15). Let h(j) = -j**3 + 5*j**2 + j + 6. Let z be h(c). Find the third derivative of s**3 - 3*s**2 - z*s**2 + s**2 wrt s.
6
Let w = 641 - 641. Let o(x) be the first derivative of 0*x**2 + w*x + 19 + 4/3*x**3 + 0*x**4 + 11/5*x**5. What is the third derivative of o(y) wrt y?
264*y
Suppose -4*m - 3*c + 34860 = 0, 0*c + 2*c = -5*m + 43568. Suppose 7*r + m = 112228. What is the derivative of -14823 + 14*v + 4*v + r wrt v?
18
Let f be (-20 - -19)*(2 + -75). What is the second derivative of -35*x**2 - 202*x + 331*x + f*x - x**3 + 3*x**3 wrt x?
12*x - 70
Let g(x) be the second derivative of 49*x**4/12 - 7*x**3/6 + 1123*x**2/2 - 148*x - 1. What is the first derivative of g(r) wrt r?
98*r - 7
Suppose 6*c = -3*c + 36. Let h(q) = c*q**2 + 7*q**4 + q - 4*q**2 + 6*q. Let m(b) = b**4. Let v(p) = h(p) - 6*m(p). What is the second derivative of v(t) wrt t?
12*t**2
Let a(u) = 3*u**2 - 3*u. Let o(k) = -3558*k**2 + 1752*k. Let h(q) = 9*a(q) - o(q). Find the second derivative of h(g) wrt g.
7170
Let j(l) = 3*l + 19. Suppose f - 5*f = 2*c + 6, -5*f = 2*c + 5. Let d be j(c). What is the third derivative of 14*u**4 + 5*u**d - 48*u**2 + 72*u**2 wrt u?
456*u
Suppose -8*q + 38 + 82 = 0. Suppose -q*g = -17*g + 4. Find the first derivative of 262*h**2 - 265*h**g + 2*h + 31 + 4 wrt h.
-6*h + 2
Find the second derivative of 490*l**5 - 1479*l**5 + 497*l**5 - 10*l**2 + 499*l**5 + 2310*l wrt l.
140*l**3 - 20
Find the third derivative of 3*b + 11*b**2 - 146*b**2 - 119*b**2 - 49*b**2 + 2833*b**4 wrt b.
67992*b
Let u = 391 - 378. Find the second derivative of u*k + 8*k - 94*k**5 + 46*k wrt k.
-1880*k**3
Let w(p) be the third derivative of -17*p**8/42 + 7*p**6/120 - 199*p**5/60 - 5*p**4/24 + p**3/3 - 2*p**2 - 2407. Find the third derivative of w(q) wrt q.
-8160*q**2 + 42
Let s(o) be the first derivative of -45/2*o**2 + 1/5*o**5 + 0*o - 11/6*o**6 + 0*o**3 + 113 + 0*o**4. What is the second derivative of s(r) wrt r?
-220*r**3 + 12*r**2
Let g = 2109154/158187 + 2/52729. Let y(z) be the first derivative of g*z**3 - 38 + 3*z**4 + 0*z**2 + 0*z. What is the third derivative of y(v) wrt v?
72
Let b(t) = -t**3 + t**2 + t - 2. Let m(a) = 673*a**4 - 6*a**3 + 3*a**2 + 3*a + 2142. Let d(y) = 3*b(y) - m(y). What is the first derivative of d(q) wrt q?
-2692*q**3 + 9*q**2
Let s(r) be the first derivative of -2241*r**4/4 + 180*r + 2900. Find the first derivative of s(h) wrt h.
-6723*h**2
Differentiate -1833 + 3334 + 4*p**3 - p**3 - 134*p**2 + 0*p**3 + p**2 wrt p.
9*p**2 - 266*p
Let j(u) = 1805*u**3 + 6768*u**2 + 24*u + 8. Let l(n) = n**3 + 2*n**2 - 6*n - 2. Let i(k) = j(k) + 4*l(k). What is the third derivative of i(t) wrt t?
10854
Let u(r) be the third derivative of -4*r**2 + 0*r**4 + 0*r + 77/60*r**5 + 10 + 13/2*r**3. Differentiate u(m) with respect to m.
154*m
Suppose 5*c - 46 - 64 = 3*w, -c = w - 30. Let a be (-3)/6 + c/10. Find the third derivative of -15*g**2 + 907*g + 11*g**5 - 9*g**a - 907*g wrt g.
660*g**2
Let m(w) be the first derivative of 103*w**5/20 + 54*w**2 + 118*w - 69. Let q(g) be the first derivative of m(g). What is the derivative of q(j) wrt j?
309*j**2
Let x(m) be the second derivative of -3*m**3 + 5*m**2/2 - 5903*m + 1. Let s(j) = 2 - 4 + 0. Let y(r) = 14*s(r) - 2*x(r). What is the derivative of y(c) wrt c?
36
Let g(p) = 2*p**2 + 4. Let l be g(2). Let t(q) be the first derivative of -l*q + 7 - 2*q + 3*q**3 - 5 + 4. Find the first derivative of t(d) wrt d.
18*d
Suppose 0 = 68*w - 48*w. Let c(l) be the first derivative of 0*l**3 + w*l**4 - 3*l**5 - 11 + 0*l - 11/2*l**2. Find the second derivative of c(b) wrt b.
-180*b**2
Let x(g) = -1635*g**3 + 10*g**2 - 1586. Let p(h) = 2*h**3 - 2*h**2 + 1. Let q(c) = -5*p(c) - x(c). Differentiate q(y) with respect to y.
4875*y**2
Find the third derivative of 14*m**5 + 30*m**4 - 3842*m**2 + 10477*m**2 + 11*m**4 wrt m.
840*m**2 + 984*m
Let x(i) be the second derivative of -11 - 21*i**2 - 1/10*i**5 - i + 1/6*i**4 + 0*i**3. Differentiate x(g) wrt g.
-6*g**2 + 4*g
Let a(d) be the second derivative of -251*d**5/5 + d**4/6 - 541*d**2/2 + 358*d. What is the third derivative of a(j) wrt j?
-6024
Let b be 16/4 - (-38 + (-1 - -5)). What is the derivative of b + 24 + 37 - 90*y - 8 wrt y?
-90
Let q(u) = -8168*u**3 + 7*u**2 + 7*u + 4165. Let z(y) = 8165*y**3 - 6*y**2 - 6*y - 4164. Let j(a) = -6*q(a) - 7*z(a). Find the first derivative of j(p) wrt p.
-24441*p**2
Let p be 14/42 + (-256)/(-6). What is the second derivative of -45*q**3 - 90*q**3 - p - 61*q + 38*q + 26*q wrt q?
-810*q
Let k(q) be the first derivative of -24 + 11/4*q**4 - q**2 + q**3 + 63*q. What is the second derivative of k(w) wrt w?
66*w + 6
Suppose -6 = -58*y + 57*y. Let w(b) = 67*b**4 + 6*b - 127. Let k(d) = -67*d**4 - 7*d + 126. Let o(r) = y*k(r) + 7*w(r). Differentiate o(c) wrt c.
268*c**3
Suppose 3*y = -5*k + 25, -y = 2*y + k - 29. Let c = 69 - 62. What is the second derivative of -y*d - c*d + d - 3*d**5 wrt d?
-60*d**3
Find the second derivative of -4708*l + 287*l**3 - 2217*l**2 + 1116*l**2 + 1100*l**2 wrt l.
1722*l - 2
Let t(z) be the first derivative of 0*z**5 + 81 + 0*z**6 + 29*z**3 - 73/7*z**7 + 0*z**2 + 0*z + 0*z**4. Find the third derivative of t(k) wrt k.
-8760*k**3
Let o(h) be the second derivative of -2653*h**4/6 + 7295*h**2/2 - 43*h + 6. Differentiate o(q) wrt q.
-10612*q
Find the second derivative of 498*w - 1264*w - 1528*w**5 - 828*w + 2165*w**5 - 2429*w**5 wrt w.
-35840*w**3
Let s(z) be the second derivative of 91*z**5/20 - z**4/12 + 493*z**3/6 + 4439*z. What is the second derivative of s(u) wrt u?
546*u - 2
Let s = 72 + -49. Suppose 2*v + 3 = s. Find the first derivative of v + 48*w + 10 - 20*w wrt w.
28
Let l(v) = -v**4 + v**2 + 2*v. Let f = -140 - -139. Let c(j) = -21*j**4 + 3*j**2 + 8*j - 181. Let h(g) = f*c(g) + 4*l(g). Differentiate h(r) with respect to r.
68*r**3 + 2*r
Let r(i) = -5*i + 23. Let v be r(4). Let a be (v - 7 - -24) + 0. What is the first derivative of 19*q**3 + 2*q**2 + 8 - a*q**3 - 2*q**2 wrt q?
-3*q**2
Suppose 29 = 8*q - 3. Find the third derivative of -10*z**3 + 9 + 1103*z**4 + 8 - 1101*z**q - 3*z**2 - 5*z**3 wrt z.
48*z - 90
Let m(p) = -p**3 + 8*p**2 + 18*p + 22. Let v be m(10). What is the third derivative of -v*x**2 + 92*x**2 - 8*x**2 + 7*x**2 + 120*x**5 wrt x?
7200*x**2
Let w(y) be the second derivative of 25*y**7/42 - 2*y**6/5 + 7*y**4/12 - 9*y**2/2 + 133*y - 1. Find the third derivative of w(h) wrt h.
1500*h**2 - 288*h
Let t = 503 - 300. Let r be t*3*(-6)/(-21). What is the first derivative of -1 + 160*z**2 - r*z**2 - 1 + 8 wrt z?
-28*z
Find the first derivative of 989 + 1470 + 1234*s + 782*s + 39*s wrt s.
2055
Suppose 0 = 4*l + 16, 3*o - 5*l = -9 + 50. Differentiate -21*d**2 + 37 - 2*d**4 + 3 - 3*d**4 + o*d**4 - 100 with respect to d.
8*d**3 - 42*d
Suppose -3*s - 1 + 7 = 0. Find the first derivative of 131 - 47 - 3*g - 3076*g**2 + 3064*g**s wrt g.
-24*g - 3
Let y(l) = -2912*l**2 - 1987*l + 3. Let g(u) = 5828*u**2 + 3974*u - 5. Let h(i) = -3*g(i) - 5*y(i). Find the second derivative of h(k) wrt k.
-5848
Let y(j) = 95*j**3 - 7*j + 399. Let u(z) = -47*z**3 + 3*z - 199. Let i(k) = -7*u(k) - 3*y(k). Find the first derivative of i(v) wrt v.
132*v**2
Let u(a) be the second derivative of 3033*a**5/5 + a**3/2 - 1479*a**2/2 - 15515*a. What is the second derivative of u(f) wrt f?
72792*f
Let p be (-23)/299 + 0 + (-136644)/(-13). Find the second derivative of p*g**5 - 269*g + 3*g**4 - 10490*g**5 + 0*g**4 wrt g.
420*g**3 + 36*g**2
What is the second deri