t x.
76
Let w(p) = 5*p**5 - 75*p**4 - 4*p**3 + 19*p**2 - p. Let y(l) = l**5 - l**4 - l**3 - l**2. Let n(a) = w(a) - 4*y(a). Find the third derivative of n(q) wrt q.
60*q**2 - 1704*q
Let i(k) be the second derivative of 0*k**2 - 2/3*k**3 - k + 17/12*k**4 + 0. Find the second derivative of i(f) wrt f.
34
Let c be (-2)/9 + 29/9. What is the first derivative of 12*s**4 - 454*s**3 + 454*s**c + 1 wrt s?
48*s**3
Let g(h) be the first derivative of -h**5/6 - h**4/8 + 7*h**2/2 + 15. Let p(d) be the second derivative of g(d). What is the second derivative of p(r) wrt r?
-20
Let q(i) be the second derivative of -29*i**6/30 - i**5/10 - 27*i**3/2 - 25*i. What is the second derivative of q(v) wrt v?
-348*v**2 - 12*v
Let f = -13 - -25. What is the third derivative of -19*r**2 + 52*r**6 - 24*r**6 - f*r**6 wrt r?
1920*r**3
Let b(j) be the first derivative of 61*j**5/5 - 37*j + 53. Differentiate b(g) wrt g.
244*g**3
Let i(y) be the third derivative of 191*y**7/210 - 115*y**4/24 - y**2 + 15*y. Find the second derivative of i(a) wrt a.
2292*a**2
Find the first derivative of 0*h**2 - 1111*h**3 + 1103*h**3 - 77 - 4*h**2 wrt h.
-24*h**2 - 8*h
Let k(n) be the second derivative of 15*n**8/56 - 3*n**5/20 + n**4/6 + 73*n**3/6 + 43*n. Find the third derivative of k(z) wrt z.
1800*z**3 - 18
Let w(f) = -3*f + 410. Let o(p) = p - 137. Let r(q) = 7*o(q) + 2*w(q). Let y(u) = 47. Let m(z) = -6*r(z) - 17*y(z). Differentiate m(g) with respect to g.
-6
Let b(d) be the third derivative of -13/20*d**5 + 0*d**6 + 0 + 0*d - 41*d**2 + 0*d**3 + 4/21*d**7 + 0*d**4. What is the third derivative of b(l) wrt l?
960*l
Let n(w) be the second derivative of -2*w**7/7 - w**6/10 + 4*w**3/3 + 87*w. Find the second derivative of n(h) wrt h.
-240*h**3 - 36*h**2
Let t(r) be the first derivative of r**7/140 - r**6/72 + 11*r**3/3 - 12. Let i(x) be the third derivative of t(x). What is the third derivative of i(v) wrt v?
36
Let v(z) be the second derivative of z**6/10 + 7*z**5/20 - 11*z**4/2 + z**3/6 - 146*z. Find the third derivative of v(h) wrt h.
72*h + 42
What is the second derivative of 144*w**5 + w**4 + w**2 + 91*w**5 - w**2 + 442*w - 66*w**5 wrt w?
3380*w**3 + 12*w**2
Let a(z) be the second derivative of 19*z**5/10 - z**4/6 - 95*z**3 - z**2/2 + 222*z. What is the second derivative of a(j) wrt j?
228*j - 4
Let g(d) = -19*d**5 - 6*d**2 + 7*d. Let j(w) = 67*w - 36*w - 33*w + 6*w**5 + 2*w**2. Let x(p) = 2*g(p) + 7*j(p). Find the third derivative of x(q) wrt q.
240*q**2
Find the second derivative of -24*z**4 - 409*z**5 + 23*z**4 - 92*z + z**4 wrt z.
-8180*z**3
Let f(l) = 6*l - 3. Let w(c) = -6 + c + 4*c + 2. Let a(d) = -8*d - 34. Let y be a(-5). Let h(k) = y*f(k) - 7*w(k). Differentiate h(v) with respect to v.
1
Let g(x) = 30*x**2 - 15*x - 118. Let v(f) = 61*f**2 - 36*f - 236. Let y(d) = -5*g(d) + 2*v(d). Differentiate y(u) with respect to u.
-56*u + 3
What is the derivative of 263*t**2 - 134*t**2 - 5*t - 130*t**2 + 81 wrt t?
-2*t - 5
Find the second derivative of -282 + 21*o + 143 + 145 + 51*o**5 - o**2 wrt o.
1020*o**3 - 2
Let x(o) be the third derivative of -5*o**8/14 - 163*o**4/24 + 2*o**2 + 63. What is the second derivative of x(y) wrt y?
-2400*y**3
Let m be (-57)/(-21) + (-8)/(-28). What is the derivative of 2 + 12*a - 5 - m + 3 wrt a?
12
Suppose -8 = -u - 5. Differentiate 33 + 8*m**u + 7*m**3 + 23 - 49 wrt m.
45*m**2
Let p(w) be the first derivative of -45*w**6/2 + 144*w**3 + w - 349. What is the third derivative of p(f) wrt f?
-8100*f**2
Let n(u) be the third derivative of u**7/14 + u**6/15 + 17*u**5/10 + 50*u**2. Find the third derivative of n(m) wrt m.
360*m + 48
Let x(m) be the second derivative of 0 + 0*m**4 + 0*m**3 - 7/10*m**5 - 36*m - 15*m**2. Differentiate x(c) with respect to c.
-42*c**2
Let v(o) be the first derivative of 6*o**4 - 4*o**3/3 + 203*o + 36. Differentiate v(j) wrt j.
72*j**2 - 8*j
Let d(i) be the third derivative of 7*i**6/30 + i**5/30 + 16*i**3 - 48*i**2. What is the first derivative of d(p) wrt p?
84*p**2 + 4*p
What is the third derivative of 24*k**2 - 10*k**2 + 71 + 44*k**3 - 73 wrt k?
264
Let o(z) = -213*z + 3. Let w(c) = -214*c + 2. Let h(t) = -4*o(t) + 5*w(t). What is the derivative of h(l) wrt l?
-218
Let d(g) be the third derivative of -62*g**7/105 - 209*g**3/3 + 7*g**2 + 2*g. Find the first derivative of d(t) wrt t.
-496*t**3
What is the derivative of 4311 + 4400 + 120*m + m**2 - 9147 wrt m?
2*m + 120
Let t(v) = 10*v**2 + 36*v + 144. Let d(n) = 2*n**2 + n + 1. Let o(y) = 6*d(y) - t(y). Differentiate o(b) wrt b.
4*b - 30
Let l(r) be the first derivative of r**6/2 - 66*r**5/5 - 4*r**3/3 - 15*r - 148. What is the third derivative of l(o) wrt o?
180*o**2 - 1584*o
Let y(a) = -70*a**6 + 5*a**3 - 79*a**2. Let l(i) = i**6 - i**3 + i**2. Let q(p) = 5*l(p) + y(p). What is the third derivative of q(f) wrt f?
-7800*f**3
Let i(h) be the second derivative of -171*h**4/4 + 479*h**3/6 - h + 1. Find the second derivative of i(m) wrt m.
-1026
What is the second derivative of -o**5 + 31*o**5 + 1442*o - 1384*o wrt o?
600*o**3
Let l be (-4)/(-10) - -3*(-24)/(-20). Find the third derivative of -9*t**4 - 19*t**4 + 4*t**2 - 9*t**l wrt t.
-888*t
Let a(h) = h**3 - 6*h**2 + 2*h - 9. Let w be a(6). Find the second derivative of -7*t - 8*t**5 + w*t - 4*t wrt t.
-160*t**3
Let h = -2 - -3. Differentiate 0 + 11*i**2 - 8 + 5 + h with respect to i.
22*i
Let k(y) = y**2 + 6*y - 5. Let t be k(-7). Suppose 0 = t*h + 3*h - 20. What is the third derivative of 8*x**2 - h*x**3 + 8*x**3 - 7*x**2 - 4*x**2 wrt x?
24
What is the second derivative of 227*y - 10*y**2 - 286*y**5 - 228*y + 10*y**2 - 9 + 3 wrt y?
-5720*y**3
Let z(w) = 13*w**3 + 5*w**2 + 6*w. Let y(t) = 13*t**3 + 4*t**2 + 5*t. Let q(k) = 4*y(k) - 3*z(k). What is the third derivative of q(j) wrt j?
78
Let t(a) be the second derivative of -271*a**4/12 + a**3 + 31*a**2/2 + 461*a. What is the second derivative of t(m) wrt m?
-542
Let z(f) be the first derivative of 2*f**5/5 + 59*f**4/4 + 2*f**2 - 13*f + 242. What is the second derivative of z(p) wrt p?
24*p**2 + 354*p
What is the third derivative of -4*d - 139*d**6 - 2*d**2 + 8*d + 267*d**6 wrt d?
15360*d**3
Let g be (7 + -8)*(1 - 0). Let m(r) = -3*r**2 - 4*r. Let f(q) = q + 1. Let d(c) = g*m(c) - 4*f(c). What is the derivative of d(y) wrt y?
6*y
Let k(h) be the third derivative of -47*h**4/3 - 66*h**3 - 36*h**2 + 3. Differentiate k(f) wrt f.
-376
Let k(h) be the first derivative of -41*h**4/2 + h**2 - 9*h + 159. Find the first derivative of k(f) wrt f.
-246*f**2 + 2
Let g(k) be the first derivative of 173*k**3/3 + 21*k**2 - k + 155. What is the second derivative of g(i) wrt i?
346
Find the second derivative of 28*s + s - 5 - 5 + 19 - 11 - 728*s**4 wrt s.
-8736*s**2
What is the first derivative of -64 - 787*m**3 + 123 - 95 wrt m?
-2361*m**2
Let z(v) = 46*v**3 + 3*v**2 - 4*v - 844. Let q(i) = -i**3 + i**2 - i + 3. Let o(w) = -4*q(w) + z(w). Find the first derivative of o(h) wrt h.
150*h**2 - 2*h
Let o be (-52)/(-16) + (-2)/8. Let p be ((-3)/(-1))/(-3) + 3. What is the second derivative of 5*r**5 - o*r**2 + r + 3*r**p - 4*r wrt r?
100*r**3
Find the first derivative of 574 - h + 85*h**4 - 6*h**4 + 82 - 207*h**4 - 166*h**4 wrt h.
-1176*h**3 - 1
Let f be (7 - 2)*3*2. Find the second derivative of -3*q + 6*q**2 + 26*q - f*q**2 wrt q.
-48
Let u(k) be the second derivative of 0 + 15/2*k**2 + 0*k**3 - 12*k - 11/6*k**4. Differentiate u(c) wrt c.
-44*c
Let c(y) = 12*y**3 - 9. Let j be (3 - (3 - -2))*13/2. Let f(w) = -6*w**3 + 4. Let b(p) = j*f(p) - 6*c(p). What is the first derivative of b(l) wrt l?
18*l**2
Let m be 10/4 - 3/(-2). Suppose -5*v = m*w - 14, -3*v - 3*w + 11 - 2 = 0. What is the third derivative of -d**6 - 4*d**2 - d**v - 8*d**6 wrt d?
-1080*d**3
Let n(z) be the first derivative of -54*z**6 + 145*z**2 + 256. What is the second derivative of n(k) wrt k?
-6480*k**3
Let p(l) = l**2 - 14*l + 15. Let g be p(13). What is the second derivative of 9*q + 7*q**g + q**4 - 3*q**2 - 4*q**2 wrt q?
12*q**2
Let i(g) be the third derivative of 17*g**7/70 + 39*g**4/8 + 83*g**2. What is the second derivative of i(t) wrt t?
612*t**2
Differentiate -157*c + 49*c - 95*c + 30 - 252 wrt c.
-203
What is the second derivative of -12*r + 18*r**4 + 24*r - 38*r - 37*r wrt r?
216*r**2
Suppose 0 = -5*l + 3*m + 3358, -3*l + 