a. What is the second derivative of y(z) wrt z?
-138
Let i(l) be the first derivative of l**6/2 - 13*l**4/2 - 143*l**3/3 + 554. What is the third derivative of i(b) wrt b?
180*b**2 - 156
Let s(m) = -273*m - 134. Let p(f) = -280*f - 133. Let b(r) = -4*p(r) + 3*s(r). Find the first derivative of b(t) wrt t.
301
Let r(d) = 49*d**2 + 6*d - 137. Let i(m) = -48*m**2 - 8*m + 137. Let z(p) = 3*i(p) + 4*r(p). Differentiate z(s) wrt s.
104*s
Let i = -50 - -83. What is the second derivative of -138*b**2 + i*b + 55*b**2 + 68*b**2 wrt b?
-30
Let d(k) be the third derivative of 3/40*k**6 + 0*k - 23/6*k**3 + 0*k**5 + 0 - 28*k**2 + 0*k**4. What is the derivative of d(s) wrt s?
27*s**2
Let v(s) be the third derivative of -17*s**7/21 - 55*s**3/6 + 39*s**2. What is the derivative of v(f) wrt f?
-680*f**3
Let l(i) = 12*i**3 - 21*i**2 + 10*i + 129. Let c(p) = 8*p**3 - 14*p**2 + 7*p + 86. Let f(t) = -7*c(t) + 5*l(t). What is the second derivative of f(w) wrt w?
24*w - 14
Let s(c) be the first derivative of -c**4/2 - 102*c**3 - 4*c + 30. What is the derivative of s(w) wrt w?
-6*w**2 - 612*w
Let a(h) be the third derivative of -12*h**5/5 - 62*h**3/3 - 4*h**2. What is the first derivative of a(q) wrt q?
-288*q
Let z(c) be the second derivative of 10*c + 1/4*c**4 + 0*c**2 - 2/3*c**3 + 0. Find the second derivative of z(o) wrt o.
6
Let s = 22 + -33. Let k = s - -12. What is the derivative of 14*a**2 - 5*a**3 - 14*a**2 - k wrt a?
-15*a**2
Let x be (-16)/(-28) + 24/7. What is the second derivative of -18*a**4 - 3*a + x*a + 7*a**4 wrt a?
-132*a**2
Let l(z) = z**2 - 9*z + 22. Let v be l(3). Let r be (-2)/(-8) - 2/8. What is the third derivative of 6*s**4 + 7*s**2 - 4*s**v - s**4 + r*s**4 wrt s?
24*s
What is the second derivative of -28*a**2 + 10846*a**3 - 33*a + 3*a**4 - 10846*a**3 wrt a?
36*a**2 - 56
Suppose 0 = 8*i - 3*i. Differentiate 6 + 0 - a + i - 18 with respect to a.
-1
Let n(r) be the second derivative of -9*r + 0 - 7/12*r**4 + 0*r**2 + 13/30*r**6 + 0*r**3 + 0*r**5. Find the third derivative of n(o) wrt o.
312*o
Suppose 4*l = -u + 17, -8*u + 4*u + 8 = -4*l. Differentiate -5*m**l - 11*m**3 + 6*m**3 - 11 with respect to m.
-30*m**2
Let z = -88 + 101. Let v(h) = 62*h**3 - 13*h - 56. Let o(f) = -31*f**3 + 6*f + 28. Let s(x) = z*o(x) + 6*v(x). Find the first derivative of s(u) wrt u.
-93*u**2
What is the second derivative of 13*c**3 - 28*c + 30*c**5 - 58*c**5 - 68*c**3 + 6 + 29*c**5 wrt c?
20*c**3 - 330*c
Let s(h) be the second derivative of 38*h**6/3 - 107*h**2/2 - 147*h. Differentiate s(d) wrt d.
1520*d**3
Let l be 8/(-8)*18*1. Let m be ((-2)/(-3))/((-4)/l). Find the second derivative of -7*y - m*y + 9*y**4 + 2*y wrt y.
108*y**2
What is the third derivative of 24*d**2 + 22*d**2 + 38*d**3 - 64*d**2 wrt d?
228
Let s be 204/85 + (-2)/5. Let t(w) be the first derivative of 7*w + 0 + s - 15*w + 3*w**3. What is the derivative of t(n) wrt n?
18*n
Let t(u) = 28*u - 44. Let w be t(6). What is the second derivative of -6*m**2 + w*m + 24*m**2 - 104*m wrt m?
36
Suppose 2*v - 104 = -2*v. Suppose 24*c = v*c - 6. What is the derivative of -10*t**3 - c*t + 2*t + t + 3 wrt t?
-30*t**2
Let l(j) be the first derivative of 39*j**4/2 - 39*j + 91. Find the first derivative of l(b) wrt b.
234*b**2
Let p be 0/(-2) - (1 + -7). Find the second derivative of -d**3 + 15*d + p*d**3 - 2*d wrt d.
30*d
Let g(c) be the second derivative of -9*c**8/56 + c**5/20 + c**4/6 - 68*c**2 - 138*c. What is the third derivative of g(v) wrt v?
-1080*v**3 + 6
Let o be (-1)/(((-16)/6)/(-4))*-2. Differentiate 10 + 8 - 9*w**o - 22 + 3 with respect to w.
-27*w**2
Let j be ((-12)/(-4) - 6) + 21. What is the first derivative of -15*y - 7*y + 10*y - j wrt y?
-12
Suppose -5*k + 0 = -10. Find the first derivative of -20 + 5 - 5*q**2 + 6*q**k + 4*q**2 wrt q.
10*q
Suppose 0 = -m + 4*m - 3. Suppose -5 = 3*x + q, 5*x - 2*q = m + 9. Find the second derivative of 2*l + 2*l**3 + x*l + l - 9*l**3 wrt l.
-42*l
Let x(d) = 3*d**2 + 2*d - 2. Let n(h) = 32*h**2 + 7*h - 593. Let i(b) = -n(b) + 4*x(b). Differentiate i(f) wrt f.
-40*f + 1
Suppose 0 = x + 5*w - 15, 0*w + 3*w = 9. Suppose x = y - 1 - 2. Find the second derivative of 0*a**2 - 11*a**4 + y*a + 0*a**2 + 14*a**4 wrt a.
36*a**2
Let z(u) = -19*u**2 - 4*u - 470. Let a(q) = -19*q**2 - 3*q - 469. Let m(l) = 6*a(l) - 5*z(l). Differentiate m(x) wrt x.
-38*x + 2
Find the third derivative of -42*h**2 - 454*h + 125*h**3 + 452*h - 31*h**2 wrt h.
750
Let m(u) = -u**3 + u**2 + u - 1. Let j(d) = -53*d**3 - 58*d**2 - 4*d + 4. Let r(v) = -j(v) - 4*m(v). Find the third derivative of r(h) wrt h.
342
Let v(l) be the second derivative of l**7/360 - l**6/45 + 9*l**4/4 + 23*l. Let o(c) be the third derivative of v(c). Find the second derivative of o(u) wrt u.
14
Let b(k) be the first derivative of 13*k**7/70 - 7*k**5/30 + 9*k**2 + 21. Let q(s) be the second derivative of b(s). What is the third derivative of q(n) wrt n?
936*n
Suppose 39*a = 40*a - 5. Find the third derivative of -39*w**2 - 6*w + 6*w - a*w**6 + 40*w**2 wrt w.
-600*w**3
Suppose 2272 = -5*w + 2322. Suppose 0*m - 12 = -3*m. Differentiate 0 - 8*y**4 + w*y**m - 4 with respect to y.
8*y**3
Find the third derivative of 19*j**2 + 56*j**2 + j**3 + 72*j**2 + 204*j**3 wrt j.
1230
Let n(v) be the first derivative of 147*v**5/5 + 96*v**3 - 365. What is the third derivative of n(q) wrt q?
3528*q
Let q(p) be the first derivative of -p**3/3 - 5*p**2/2 - 734*p + 8. Differentiate q(k) wrt k.
-2*k - 5
Let d(w) = 2*w**2 - w - 6. Let l be d(-4). Let g = l + -19. Find the second derivative of -7*h + 0*h - h**3 + g*h wrt h.
-6*h
Let o(w) = -6*w**3 - 30*w**2 - 24. Let t(r) be the first derivative of -r**3/3 - r + 18. Let s(c) = o(c) - 30*t(c). What is the first derivative of s(d) wrt d?
-18*d**2
Let j(h) = h**2 + 11*h - 1. Let t be j(-13). What is the second derivative of -10*d + t*d**4 + 15*d**3 - 15*d**3 - 17*d wrt d?
300*d**2
Suppose -m - m = 0. Let h be (m + -1)/((-4)/8). Find the third derivative of 7*p**h + 4*p**5 - 4*p**5 + p**2 - 2*p**5 wrt p.
-120*p**2
Let z(b) be the third derivative of 0*b + 5*b**2 + 4/3*b**3 + 0 + 0*b**4 + 0*b**5 + 11/120*b**6. What is the derivative of z(g) wrt g?
33*g**2
What is the first derivative of 8*p**2 - 19 - 9 - 20 + 5*p**4 + 56 wrt p?
20*p**3 + 16*p
Let p(r) = -3*r + 3*r**2 + r**2 - 4*r + r**3 - 6. Let w be p(-5). Differentiate 2 + w - 10*h**2 + 2*h**2 with respect to h.
-16*h
What is the first derivative of -247 - 18 - 32 - 40*g**2 - 6*g wrt g?
-80*g - 6
Let h(z) = -z + 12. Let b be h(9). Let n be 6*(b + 20/(-8)). Differentiate 4 + 3*o**4 - 423*o**3 + 423*o**n wrt o.
12*o**3
Let i(c) be the second derivative of 11/5*c**5 + 2*c**2 + 2*c + 1/3*c**3 + 7 + 0*c**4. Find the second derivative of i(v) wrt v.
264*v
Let n(v) = -9*v**3 - 3*v**2 + 141. Let z(k) = 3*k**3 + k**2 - 47. Let i(x) = 4*n(x) + 11*z(x). Differentiate i(l) wrt l.
-9*l**2 - 2*l
Let q be (0 - -10) + (-3)/(-1). Let f = 16 - q. Find the third derivative of 2*n**f - 3*n**2 - 3*n**3 + n**3 + 5*n**3 wrt n.
30
Let a be 4/18 + (-34)/(-9). Suppose -a = 4*k - 12. What is the second derivative of -6*s**4 - s + k*s**4 + 8*s**4 wrt s?
48*s**2
Differentiate -60*y**4 + 15 - 37 - 33 with respect to y.
-240*y**3
Let x(o) = 55*o**3 - 64. Let p = -48 + 50. Let v(b) = 18*b**3 - 21. Let f(w) = p*x(w) - 7*v(w). Differentiate f(z) wrt z.
-48*z**2
Let a(g) = g**3 + 12*g**2 - g - 11. Let p be a(-12). Let x(t) = 3*t + 2. Let l be x(1). Differentiate 6 + p + 12*b + 0 + l wrt b.
12
Differentiate 33 + 135 + 762*h - 340 - 448 with respect to h.
762
Differentiate -279 + 176*i**3 + 139*i**3 - 70*i**3 - 415 + 451*i**3 with respect to i.
2088*i**2
Let m(s) be the second derivative of -1/3*s**3 + 0 + 0*s**2 + 2/3*s**4 - 11*s. What is the second derivative of m(h) wrt h?
16
Let n(h) = 34*h + 22 - 16*h - 73. Let k(v) = -1. Let y(o) = 3*k(o) - n(o). Differentiate y(f) with respect to f.
-18
Let x(s) be the first derivative of 1/4*s**4 + 0*s**2 + 11 + 6*s + 0*s**3. What is the derivative of x(q) wrt q?
3*q**2
Let s(j) = 35*j**4 + 6*j**3 + 3*j**2 + 278. Let c(a) = 140*a**4 + 26*a**3 + 13*a**2 + 1114. Let r(k) = 6*c(k) - 26*s(k). What is the derivative of r(h) wrt h?
-280*h**3
Find the second derivative of 7*c - 14912*c**3 + 4 + 14791*c**3 - 3 wrt c.
-726*c
Let b(g) = -g**5 + g**4 + g**2 - 1