4. Differentiate o(r) wrt r.
4*r**3 + 41
What is the second derivative of -i**2 - 106*i**4 + 362 - 321 - 3*i**2 - i + 5*i**2 + 2*i wrt i?
-1272*i**2 + 2
Let b = 1 - -6. Find the second derivative of -113*t**2 - 6*t + 113*t**2 - b*t**3 wrt t.
-42*t
Let r(j) be the first derivative of 46/3*j**3 - 44/5*j**5 - 42 + 0*j**2 + 0*j**4 + 0*j. Find the third derivative of r(y) wrt y.
-1056*y
Let g(w) be the third derivative of -4*w**7/105 + w**6/15 - 55*w**3/2 + 65*w**2 - 3*w. Differentiate g(z) wrt z.
-32*z**3 + 24*z**2
Let m = -5 + 11. Let u(c) = c**3 - c**2 - 1. Let v(t) = -2*t**4 + 6*t**3 - 6*t**2 - 8*t - 6. Let d(l) = m*u(l) - v(l). Find the second derivative of d(s) wrt s.
24*s**2
Let y(f) = -351*f**2 - 499*f - 2. Let k(s) = -353*s**2 - 501*s - 3. Let o(l) = -2*k(l) + 3*y(l). Find the second derivative of o(h) wrt h.
-694
Differentiate -126*z**2 + 234*z**2 + 209*z**2 + 76*z**2 + 143*z**2 + 558 with respect to z.
1072*z
Suppose 2*y + 3*i - 2 = -i, -i = -y + 1. Let f = y - -1. Find the first derivative of 5*n**2 - 10*n - 3*n**f - 1 + 10*n wrt n.
4*n
Let k(z) = 4*z**2 + 1. Let v be k(1). Suppose -16 = -3*r - d - d, 2*r + 21 = v*d. What is the derivative of 5*g**r + 2 - 7*g**2 + 0*g**2 wrt g?
-4*g
Let h(q) = 2*q**4 + q**2. Let v(s) = 441*s**4 + 196*s**2. Let u(b) = -2*h(b) + v(b). Find the third derivative of u(o) wrt o.
10488*o
Let x = 18 - 12. What is the second derivative of m**2 - 3*m + x*m + 5*m wrt m?
2
Find the second derivative of 4 - t**3 - 997*t**2 + 152*t + 1025*t**2 + 692*t**2 wrt t.
-6*t + 1440
What is the second derivative of 31*g - 10*g - 216*g**3 - 13*g - 9*g + 328 wrt g?
-1296*g
Let x(m) be the first derivative of 706*m**3/3 + 801*m + 89. What is the first derivative of x(d) wrt d?
1412*d
What is the second derivative of 4*v + 5 + 39*v**2 - v + 40*v**2 + 40*v**2 wrt v?
238
Differentiate d**3 - 4*d**4 - 4 - 42 + 61*d**4 - 107 wrt d.
228*d**3 + 3*d**2
Let q(k) be the first derivative of 379*k**4/4 + k**2 - 14*k + 325. Find the second derivative of q(r) wrt r.
2274*r
Let w(p) = 7*p - 1. Let x(j) = -530*j + 279. Let g(d) = 6*w(d) + x(d). Differentiate g(m) wrt m.
-488
Find the second derivative of -100*k**2 + 99*k + 72*k - 47*k**2 wrt k.
-294
Let g = 194 - 194. Let b(j) be the first derivative of -8 + g*j**3 + 0*j**4 + 0*j + 0*j**5 - 2/3*j**6 + 11/2*j**2. What is the second derivative of b(v) wrt v?
-80*v**3
Let c(d) be the second derivative of 6/5*d**5 + 27*d + 0*d**4 + 0 + 0*d**3 - 7/2*d**2. Differentiate c(w) with respect to w.
72*w**2
Find the third derivative of -61*z**3 + 499*z**2 - 177*z**2 + 34*z**3 - 26*z**3 wrt z.
-318
Let m = 41 - 2. What is the derivative of m + 5*x**3 - 24 + 11*x**4 - 5*x**3 wrt x?
44*x**3
Let z(t) = -2*t + 10. Let b be z(5). Suppose -g + 16 = 4*m, 17 = 4*m - 2*g - 11. What is the second derivative of -7*x**2 + b*x - x + m*x - x**2 wrt x?
-16
Suppose 10 = c + 1. What is the derivative of -8*h + 34*h**2 - h - 7 + c*h wrt h?
68*h
Let a(z) be the third derivative of 4/15*z**6 + 0*z**5 + 0*z**3 + 15*z**2 - 7/8*z**4 + 0 + 0*z. Find the second derivative of a(h) wrt h.
192*h
Let k(b) = b**3 - b**2 + b + 4. Let u(p) = -7*p**3 - 7*p**2 - 6*p - 1. Let z(d) = -5*k(d) - u(d). Find the second derivative of z(y) wrt y.
12*y + 24
What is the first derivative of -4 - 13 + 65*b - 100*b - 11 wrt b?
-35
Let h be (2/(-5))/((-16)/200). Suppose 3*r - 80 + 17 = 0. What is the second derivative of -s**h + 4*s**5 + 9*s - r*s wrt s?
60*s**3
Let i be (-28)/(-182) - (-230)/26. Let k = i - 9. What is the third derivative of 8*z**2 - 10*z**2 - 4*z**2 - 2*z**6 + k*z**6 wrt z?
-240*z**3
Let v(p) = -p**5 - p - 2. Let f(o) = -15*o**3 + 43*o**2 + 3*o + 6. Let i(n) = f(n) + 3*v(n). Find the third derivative of i(w) wrt w.
-180*w**2 - 90
Suppose -4*t + 2*y + 10 = 0, -y + 2*y = -t + 4. Differentiate -23 + 236*s**4 - 3*s - 232*s**4 + t*s wrt s.
16*s**3
Suppose r + 17 = -3*z + 4, -2*z = 5*r + 13. Let p = r + 4. Find the third derivative of -6*l**5 - 6*l**p + 6*l**3 - 3*l**2 wrt l.
-360*l**2
Let u(n) be the third derivative of -2*n**7/105 + 7*n**6/60 - 25*n**4/24 + 2*n**2 + 47*n. Find the second derivative of u(q) wrt q.
-48*q**2 + 84*q
What is the third derivative of -217*s**3 - 87*s**2 - s**6 - 30*s**6 + 112*s**3 + 105*s**3 wrt s?
-3720*s**3
Suppose 4*g - 133 = -5*v + 20, -4*g + v = -147. Find the third derivative of -20*t**2 + 6*t**2 + 2*t**3 - g*t**3 wrt t.
-210
Suppose -2*t = x - 6, -3*t + 2*x - 3*x + 10 = 0. Let q be (-15)/(-4) + (-3)/t. What is the second derivative of -w - w**5 + q*w**5 + 4*w wrt w?
40*w**3
Let p(y) = -y**2 - 2*y + 5. Let r be p(-4). Let t(j) = 11*j + 1. Let z(m) = 2*m + m + 4*m + 1 - 2*m. Let c(g) = r*t(g) + 7*z(g). Differentiate c(d) wrt d.
2
Let h(g) = -g**3 - 5*g**2 + 8*g + 24. Let k be h(-6). What is the first derivative of -3 - k*o - 23*o + o wrt o?
-34
What is the second derivative of -43*a**3 + 10*a**3 - 67*a - 2 + 0*a**5 + 0*a**5 - 2*a**5 wrt a?
-40*a**3 - 198*a
Let s(r) = -2*r + 3. Let q be s(8). Let b = -11 - q. Find the second derivative of -a**5 - 2*a**2 - 4*a**2 - a + 6*a**b wrt a.
-20*a**3
Let g(r) = -r**3 - 7*r**2 + 8*r + 4. Let m be (-3 - (-23)/5)*-5. Let h be g(m). What is the third derivative of 4*w**4 + w**5 - 4*w**2 + 2*w**5 - h*w**4 wrt w?
180*w**2
Find the third derivative of 345*t**3 + 136*t**5 - 172*t**3 - 173*t**3 - 149*t**2 wrt t.
8160*t**2
Let j = 0 + 2. Suppose x + j*x - 12 = 0. What is the second derivative of 7*m + x*m**4 + 0*m**4 - m wrt m?
48*m**2
Let g(r) = 105*r**3 + 2*r + 24. Let c(w) = -w**3 - 2*w + 1. Let y(i) = 2*c(i) + g(i). What is the second derivative of y(b) wrt b?
618*b
Let q(v) = v**2 + v. Let f(h) = 11*h**2 + 6*h. Suppose -2*i = 2*p + 4, i = -0*i. Let c(a) = p*q(a) + f(a). Find the second derivative of c(x) wrt x.
18
Let q(g) be the second derivative of g**3/2 + 2*g**2 - 7*g. Let u be q(2). Find the second derivative of 5*y**4 + u*y**3 - 6*y**3 - 4*y**3 + 3*y wrt y.
60*y**2
Suppose -3*s = -4*s + 3. What is the third derivative of -3*z**s + 5*z**2 - 4*z**2 + z**3 wrt z?
-12
Let j(u) be the second derivative of u**7/420 - u**6/120 - u**3 + 5*u. Let z(v) be the second derivative of j(v). Find the third derivative of z(q) wrt q.
12
Let m be 9/(-12) - (-4)/(-16). Let h be 1 - (5 - m)/(-3). Find the first derivative of q**h - q**3 + 1 + 9*q**3 wrt q.
27*q**2
Let i(o) = 11*o**2 - 5*o + 3. Let l(u) = -11*u**2 + 4*u - 3. Let n(k) = -4*k - 27. Let s be n(-8). Let t(p) = s*l(p) + 4*i(p). Differentiate t(z) wrt z.
-22*z
Let h(l) be the second derivative of -l**8/210 + l**5/40 - 7*l**3/6 + 3*l. Let o(w) be the second derivative of h(w). Find the second derivative of o(s) wrt s.
-96*s**2
Let a(b) = -b - 1. Let v(z) = -12*z**4 + 3*z - 8. Let h be ((-16)/(-20))/((-6)/15). Let k(u) = h*v(u) - 6*a(u). What is the first derivative of k(l) wrt l?
96*l**3
Let v = -283 + 286. Let n(p) be the first derivative of -5 + 0*p**4 + 0*p + 2/3*p**6 + 3/2*p**2 + 0*p**v + 0*p**5. What is the second derivative of n(f) wrt f?
80*f**3
Let v = 9 + -15. Let n = v + 11. Find the third derivative of 78 - 78 + 5*s**n - 3*s**2 wrt s.
300*s**2
Let c(h) = -3*h + 1. Let b(z) be the third derivative of -z**4/8 + z**3/6 - 11*z**2. Let a(u) = -5*b(u) + 4*c(u). What is the first derivative of a(l) wrt l?
3
Let w(y) = -24*y + 3. Let q(n) = -72*n + 9. Suppose 10 = 3*k - 8. Let g(j) = k*q(j) - 17*w(j). Find the first derivative of g(o) wrt o.
-24
Let a(l) be the second derivative of 42*l**6/5 - l**4/4 - 93*l**2/2 - 112*l. What is the third derivative of a(u) wrt u?
6048*u
What is the second derivative of -707*c + 31*c**2 - 59*c**2 + 8*c**3 + 8*c**3 - 14*c**3 - 33*c**2 wrt c?
12*c - 122
Let p = -70 - -100. Suppose 0*h = -4*q + 2*h + p, -2*h + 10 = q. What is the third derivative of 2*n**2 - 3*n**5 - q*n**5 + 4*n**5 - 3*n**2 wrt n?
-420*n**2
What is the first derivative of -40 - 31*t**3 + 2 + 8 + 10*t**3 wrt t?
-63*t**2
Suppose v + 0*v = 2*p - 27, -5*v - 23 = -2*p. Differentiate -7*j + j + 15 - p*j with respect to j.
-20
Let m = 33 - -2. What is the second derivative of -13*d**3 - d**3 + m*d + 36*d**3 wrt d?
132*d
Suppose 0 - 4 = -3*i + f, -4*f + 8 = 0. Find the first derivative of -22*b**i + 124 + 2*b**2 - 137 wrt b.
-40*b
Find the third derivative of -20 + 5*v**3 - 25 - 33 + 105*v**2 + 77 + 10*v**5 wrt v.
600*v**2 + 30
Diff