360
Let i(c) = -7*c**3 + 53*c**2 + 6*c - 7. Let d(x) = -9*x**3 + 54*x**2 + 8*x - 7. Let n(f) = 3*d(f) - 4*i(f). What is the derivative of n(u) wrt u?
3*u**2 - 100*u
Let i(n) be the second derivative of -19*n**7/14 - n**6/30 + 44*n**3/3 - n**2 - 8*n - 34. What is the second derivative of i(b) wrt b?
-1140*b**3 - 12*b**2
Let v(l) be the third derivative of 2*l**5/5 - l**4/24 - 10*l**3/3 + 31*l**2 - 2. What is the first derivative of v(j) wrt j?
48*j - 1
Let w(s) = 37*s**4 + 4*s**2 + 92. Let l(y) = -y**4 + y**2 - 1. Let t(a) = 4*l(a) - w(a). What is the first derivative of t(j) wrt j?
-164*j**3
Let b(z) be the first derivative of -61*z**2 - 521*z - 11. Find the first derivative of b(a) wrt a.
-122
Let p(v) be the second derivative of -134*v**5/5 - 123*v**3/2 + 594*v. Find the second derivative of p(o) wrt o.
-3216*o
Let s(u) = -230*u**2 + 407*u - 4. Let z(v) = 2*v**2 + v + 2. Let d(a) = -s(a) - 2*z(a). What is the second derivative of d(x) wrt x?
452
Let g = 148 + -145. Let k be 1/(-1)*(-14)/2. What is the second derivative of p - 3*p - g*p**3 - k*p wrt p?
-18*p
Let u be 162/30 + 2/(-5). Let r = u - 2. Find the second derivative of -w + 0*w - r*w**5 + 4*w wrt w.
-60*w**3
Find the second derivative of 501*k**3 - 152*k - 129*k + 103*k wrt k.
3006*k
Differentiate -1469*b - 239 + 811*b + 784*b wrt b.
126
Let b(z) be the second derivative of -71*z**3/6 + 27*z**2/2 - 3*z + 12. Differentiate b(r) wrt r.
-71
Let r(h) be the first derivative of 7*h**6/6 + 9*h**2 + 20*h - 17. Let c(u) be the first derivative of r(u). What is the first derivative of c(v) wrt v?
140*v**3
Let v(d) be the second derivative of 1/6*d**3 + 0 + 7*d - 2*d**2. Find the first derivative of v(h) wrt h.
1
Suppose 0 = -6*z - 103 + 31. Let j be (4 + z/3)*1. Differentiate j + 8 - 2*q - 4 + 3 wrt q.
-2
Let t(s) = -s**3 + s**2 + s - 5. Let d be t(0). Let n be d - -3 - (-12)/2. What is the second derivative of -21*l**4 + n*l**4 + 7*l + 12*l**4 wrt l?
-60*l**2
Let k(v) = v**2 - v. Suppose -3*b = b - 12. Let z be k(b). What is the derivative of -1 + 6*x - z*x - 3*x**4 wrt x?
-12*x**3
Let x(s) = 1 - 11 + 5*s**3 + 0. Let g(q) = 6*q**3 - 9. Let i = -269 + 266. Let a(w) = i*g(w) + 2*x(w). What is the first derivative of a(c) wrt c?
-24*c**2
Let w(u) be the first derivative of 298*u**5/5 - 356*u**3/3 + u + 223. Find the third derivative of w(a) wrt a.
7152*a
Let h(x) be the second derivative of x**6/15 + 59*x**4/12 + 125*x**3/6 - 560*x. Find the second derivative of h(c) wrt c.
24*c**2 + 118
Let z(y) be the first derivative of 383*y**4/4 + 69*y**2 + 281. What is the second derivative of z(l) wrt l?
2298*l
Let l(y) = -y - 10. Let b be l(-15). Suppose 0 = a + b*a - 192. Find the third derivative of 32 + v**2 - 3*v**5 - a wrt v.
-180*v**2
Let r(x) be the first derivative of 0*x - 5/3*x**3 + 5 + 0*x**4 + 0*x**2 - 5/3*x**6 + 0*x**5. What is the third derivative of r(b) wrt b?
-600*b**2
Let n(x) be the second derivative of 0*x**4 + 7*x + 2*x**3 + 11/10*x**5 + 0*x**2 + 2 + 1/15*x**6. Find the second derivative of n(k) wrt k.
24*k**2 + 132*k
Let x(t) be the first derivative of -37*t**7/7 + t**3 - 29. Find the third derivative of x(k) wrt k.
-4440*k**3
Find the second derivative of -147 + 11*w**3 - 103*w - 128*w**4 - 11*w**3 + 145 wrt w.
-1536*w**2
Let d = 130 + -128. Let o(v) = -v**3 - 5*v**2 - 6*v - 6. Let f be o(-4). Find the second derivative of 2*q**2 - d*q - q**f - 5*q**2 wrt q.
-8
Let i(l) be the second derivative of -277*l**6/30 + 175*l**2/2 + 70*l. Differentiate i(o) with respect to o.
-1108*o**3
Let s(b) be the third derivative of b**6/15 + 129*b**3/2 + 14*b**2. What is the derivative of s(u) wrt u?
24*u**2
Let x(z) = -z + 14. Let r be x(12). What is the third derivative of -17*i**4 + 121*i**2 + 0*i**4 - 89*i**r wrt i?
-408*i
What is the third derivative of 179*v**3 - 57*v**2 + 12357 - 12357 wrt v?
1074
Let u(f) be the third derivative of -3*f**5/20 - f**4/24 - 47*f**3/6 + 152*f**2. Differentiate u(m) with respect to m.
-18*m - 1
Let x(i) be the first derivative of 399*i**4/4 - 112*i - 192. What is the derivative of x(d) wrt d?
1197*d**2
Let i(b) = 8*b**4 - 3*b**3 - 3*b**2 + 7*b - 182. Let n(d) = -d**4 + d**3 + d**2 + 2. Let l(h) = i(h) + 3*n(h). What is the first derivative of l(a) wrt a?
20*a**3 + 7
Let c(h) = 525*h**3 - 2*h**2 - 422*h - 2. Let x(d) = -2103*d**3 + 9*d**2 + 1686*d + 9. Let j(w) = -9*c(w) - 2*x(w). Find the second derivative of j(y) wrt y.
-3114*y
Differentiate 12*h**4 + 61 - 9*h**3 + 10*h**4 + 12*h**4 + 2*h**3 - 32*h**4 with respect to h.
8*h**3 - 21*h**2
Let d(a) be the second derivative of -a**4/4 + 7*a**3/2 + 313*a**2 - 567*a. Differentiate d(m) wrt m.
-6*m + 21
Suppose 4*t = -2*v + 44, -t - 11 = -3*v + 4*t. Find the first derivative of -4*a + v - 2*a + 5*a wrt a.
-1
Let a(i) be the second derivative of 23*i**6/30 + 3*i**3/2 - 773*i**2/2 + 257*i - 2. Differentiate a(b) with respect to b.
92*b**3 + 9
Let q(v) = v**2 + v. Let i(m) = -5*m**3 - 4*m**2 - 4*m - 7. Let k = -40 - -44. Let d(h) = k*q(h) + i(h). Differentiate d(l) with respect to l.
-15*l**2
Let y be 7/(14/(-6))*-6. What is the derivative of -6 + y*o**3 - 7 + 5 wrt o?
54*o**2
Suppose -4*n = -13*n + 243. Let w = 2 + 0. Differentiate l + n - w*l - 8 - 11 with respect to l.
-1
Find the third derivative of 60*y**4 - 93*y**4 - 64*y**2 + 109*y**4 - 101*y**2 + 294*y**4 wrt y.
8880*y
Differentiate -12 + 75 - 13*h**4 - 6 wrt h.
-52*h**3
Let o(q) be the third derivative of -3*q**7/35 + q**6/40 + 29*q**3/6 - 88*q**2. Differentiate o(a) with respect to a.
-72*a**3 + 9*a**2
Let y be (56/20)/((-1)/((-10)/4)). Find the second derivative of -3*k - y*k - 13*k - 24*k**2 wrt k.
-48
What is the second derivative of 0 + 23*w + 7*w**4 - 2 - 35*w - 47*w - 86*w + 4*w**3 wrt w?
84*w**2 + 24*w
Let t(c) = 19. Let x(d) = 125*d + 20 - 252*d + 126*d. Let v(w) = -5*t(w) + 6*x(w). Differentiate v(i) wrt i.
-6
Let g = -16 + 20. Suppose v - 12 = -3*v - g*n, 8 = 2*v + 4*n. Find the second derivative of 0 - 2 - 8*p + 7*p**4 + v wrt p.
84*p**2
Let s(z) be the first derivative of -2*z**3/3 - 11*z - 38. Find the first derivative of s(b) wrt b.
-4*b
Let l(f) = -f**3 + 2*f**2 + 5*f + 1. Let m be l(3). Find the second derivative of m*k - 155 + 155 + 11*k - 8*k**3 wrt k.
-48*k
Differentiate -57 - 41 + 70*g + 216 wrt g.
70
Let n(s) = -442*s**4 - 6*s**3 + 6*s**2 + 3*s - 479. Let g(i) = 885*i**4 + 10*i**3 - 10*i**2 - 5*i + 957. Let r(x) = 3*g(x) + 5*n(x). Differentiate r(y) wrt y.
1780*y**3
Suppose 7*r = -3*r. Let q(w) be the third derivative of r*w**5 - 5*w**2 + 0 + 0*w**4 + 0*w - 1/3*w**3 + 1/120*w**6. What is the first derivative of q(m) wrt m?
3*m**2
Let b(f) be the first derivative of 62*f**3/3 + 4*f**2 + 8*f - 132. What is the second derivative of b(u) wrt u?
124
Let j(b) be the second derivative of -17*b**5/60 + b**4/24 + b**2 - 10*b. Let v(m) be the first derivative of j(m). What is the second derivative of v(h) wrt h?
-34
Let r(d) be the first derivative of 7*d**6/3 - 44*d**3/3 + d**2 - 124. What is the third derivative of r(v) wrt v?
840*v**2
Let r be 17/(102/20) - 2. Let h(l) be the first derivative of 0*l**2 + 0*l + 3 + r*l**3 + l**4. Find the third derivative of h(g) wrt g.
24
Find the second derivative of -163*t + 711*t**2 - 711*t**2 - 139*t - 34*t**5 wrt t.
-680*t**3
Let q(h) be the third derivative of 37*h**8/24 + h**5/6 + h**3/2 - 594*h**2. Find the third derivative of q(t) wrt t.
31080*t**2
Differentiate -150*m**4 - 214 - 30 - 194 wrt m.
-600*m**3
Let n(z) = 176*z**3 - 4*z**2 - 3*z + 4. Let m(g) = -g**3 + 2*g**2 + g + 1. Let j(a) = -4*m(a) - 2*n(a). Find the second derivative of j(k) wrt k.
-2088*k
What is the derivative of 24*l**2 - 60*l**4 + 24*l**2 + 82 - 48*l**2 wrt l?
-240*l**3
Let q(l) be the second derivative of 0 + 0*l**3 + 5/6*l**4 + 14*l + 0*l**2 + 3/4*l**5. What is the third derivative of q(s) wrt s?
90
Let y(b) = 617*b**2 + 67*b - 18. Let z(t) = -1231*t**2 - 133*t + 40. Let f(j) = 7*y(j) + 3*z(j). Find the second derivative of f(i) wrt i.
1252
Let r(k) be the second derivative of k**3/6 - 17*k. Let c(s) = -22*s - 20. Let b(i) = c(i) + 5*r(i). What is the derivative of b(a) wrt a?
-17
Let t(z) be the third derivative of 25*z**4/6 - 19*z**3/3 - 135*z**2. Differentiate t(j) with respect to j.
100
Let n(p) be the first derivative of 8