- 117. Let p(i) = -2*f(i) - 3*h(i). What is the derivative of p(g) wrt g?
244*g
Suppose -30 = 4*q - 9*q. Let g = -4 + q. Differentiate g + 1 + 3*r**2 - 9 - 6*r**2 wrt r.
-6*r
What is the third derivative of 47 + 4*y**4 - 10 + 11*y**4 - 2*y**2 wrt y?
360*y
Let j(k) be the first derivative of k**4/12 - 3*k**3/2 + 19*k**2/2 + 17. Let o(p) be the second derivative of j(p). Differentiate o(f) with respect to f.
2
Let n = -10 - 2. Let q = -11 - n. Differentiate q - 3 + 5 + 1 + 3*c wrt c.
3
Let v = -10 + 10. Find the first derivative of 2 + v - 3*s**2 - 5 - 2 wrt s.
-6*s
Let z = 21 + -19. What is the third derivative of -9*p**5 - 5*p**z - p**5 - 5*p**5 wrt p?
-900*p**2
Let y(c) = 10*c**3 - 3*c**2 - 47*c + 97. Let o(q) = -16*q**3 + 5*q**2 + 94*q - 194. Let h(k) = -3*o(k) - 5*y(k). What is the first derivative of h(n) wrt n?
-6*n**2 - 47
Differentiate -173*m + 6*m**2 + 51 - 175*m + 343*m - 20*m**2 wrt m.
-28*m - 5
Suppose -5*v - 21 + 151 = 0. Suppose 2*y - 7*y = -5*l - 40, -2*y + v = -4*l. What is the second derivative of 3*f**3 + 5*f**3 - 15*f**y - 2*f wrt f?
-42*f
Let o(u) be the first derivative of 0*u**2 + 9/4*u**4 + 0*u + u**3 + 9. Find the third derivative of o(n) wrt n.
54
What is the second derivative of 2342*d**2 + 8*d + 2323*d**2 - 4744*d**2 wrt d?
-158
Let g(a) be the third derivative of 47*a**6/12 - 10*a**4 - 32*a**2 + 3. Find the second derivative of g(v) wrt v.
2820*v
Let v(c) be the first derivative of -2/3*c**3 + 0*c + 19/2*c**4 - 31 - 1/2*c**2. Find the third derivative of v(d) wrt d.
228
Suppose 6*h - 2*h = 20, 0 = 2*v - h + 1. Find the first derivative of p**v - p**2 + 20*p**4 + 0*p**2 - 25 wrt p.
80*p**3
Let c(u) = -u - 1. Let m = 7 - 1. Let t(n) = -6*n - 8*n**2 - n**3 - m + 2 + 8*n**2. Let l(k) = 6*c(k) - t(k). What is the derivative of l(j) wrt j?
3*j**2
Let x(f) be the first derivative of f**5/5 - 2*f**3 + 915*f**2/2 - 622. Find the second derivative of x(a) wrt a.
12*a**2 - 12
Suppose 1 - 10 = -3*b. Find the third derivative of -59*y**2 - b*y + 68*y**2 + 3*y + 6*y**5 wrt y.
360*y**2
Let i(l) be the third derivative of 3/20*l**5 + 0*l**3 + 0*l + 0 + 17*l**2 - 5/8*l**4. Find the second derivative of i(o) wrt o.
18
Let s(l) = -186*l**2 + l - 136. Let t(x) = 2*x**2 + x + 1. Let v(q) = s(q) - t(q). Differentiate v(r) wrt r.
-376*r
Let f(v) be the first derivative of 0*v**2 + 0*v - 10/3*v**6 + 0*v**5 - 13 + 0*v**4 + 5/3*v**3. Find the third derivative of f(u) wrt u.
-1200*u**2
Let s(k) be the first derivative of -63*k**5/5 - 11*k + 162. Differentiate s(n) wrt n.
-252*n**3
Let z(w) = -2*w**2 - 29*w - 211. Let p(l) = 6*l**2 + 59*l + 422. Let v(u) = -2*p(u) - 5*z(u). What is the derivative of v(b) wrt b?
-4*b + 27
What is the third derivative of -2 + 17*l**5 + 0 - 37220*l**2 + 37075*l**2 + 7*l**4 + 3 wrt l?
1020*l**2 + 168*l
Let k(f) = f - 3. Let n be k(6). Suppose 5*s = n*t + t + 45, 20 = -4*t. What is the first derivative of s - 6*z**4 + z**4 - 4 wrt z?
-20*z**3
Let v = 9 - -3. Let a = 15 - v. What is the first derivative of a*z**2 - z**2 - 4 + 4*z**2 - 1 wrt z?
12*z
Let w(n) = 110*n**2 - 21*n - 2. Let l(g) = -110*g**2 + 21*g + 2. Let v(s) = -2*l(s) - 3*w(s). Find the second derivative of v(p) wrt p.
-220
Let n(q) be the first derivative of -342*q**5/5 + 27*q + 265. Differentiate n(v) wrt v.
-1368*v**3
Suppose -t + 2*t - 3 = 0. Find the second derivative of -9*w**3 - 11*w - t*w**5 + 9*w**3 wrt w.
-60*w**3
Let c(r) = -r. Let o(q) = -43*q - 29. Let g(i) = -5*c(i) + o(i). Let p(n) = 114*n + 89. Let z(l) = -17*g(l) - 6*p(l). What is the derivative of z(a) wrt a?
-38
Let w(p) = 7*p**2 - 3*p + 30. Let y(a) = 16*a**2 - 7*a + 61. Let u(m) = 7*w(m) - 3*y(m). Find the first derivative of u(s) wrt s.
2*s
Let q(f) be the second derivative of -23*f**6/15 - f**3/3 - 79*f**2/2 - 74*f. Find the first derivative of q(x) wrt x.
-184*x**3 - 2
Find the first derivative of 4*w**3 - 3*w**3 - 10 - w**3 + 21*w**4 - 78*w**4 wrt w.
-228*w**3
Suppose -2*h - 5 = -3*h. Let s = -10 - -13. Find the second derivative of -3*b + 5*b**4 + 47*b**3 - 47*b**s + h*b wrt b.
60*b**2
Let a be (0 - (-1 - 1)) + 2. Let c(r) = -10*r + 123. Let i be c(12). Find the third derivative of 3*g**2 + 4*g**2 - i*g**a + 15*g**4 - 3*g**2 wrt g.
288*g
Suppose -2*a + 0*a = -18. Suppose 3*q = 45 + a. Find the third derivative of 25*s**2 + 6*s**4 - q*s**2 - 3*s**4 wrt s.
72*s
Let h(o) = -2*o**3 - o**2 + 2*o - 36. Let r(g) = -2*g**3 + g**2 + 1. Let y(w) = -2*h(w) - 2*r(w). Differentiate y(z) with respect to z.
24*z**2 - 4
Find the second derivative of 94 + 7*h**2 + 27*h**2 - 7*h**3 + 12*h**3 + 3*h**5 - h - 5*h**3 wrt h.
60*h**3 + 68
Let f = 20 - 16. Suppose f*t = -8, x - 5*x - 5*t - 2 = 0. What is the third derivative of 4*u + 8*u**2 - 4*u - 2*u**5 - x*u**5 wrt u?
-240*u**2
Let w(c) = c**3 - c + 1. Let y(p) = -32*p**3 - 3*p - 34. Let v(r) = 3*w(r) - y(r). What is the first derivative of v(m) wrt m?
105*m**2
Find the first derivative of 60*k**4 - 195 + k**3 + 10 - k**3 - 135 + 2*k**2 wrt k.
240*k**3 + 4*k
Let m be (16 - 12)/(5/((-230)/(-4))). What is the third derivative of -27 + 45*w**2 - 19 - 37*w**3 + m wrt w?
-222
Suppose 4*u + 3*y - 4 = 0, 3*u + 2*y = u. Suppose v + 4*d - 12 = 0, -3*d - 8 - 2 = -u*v. What is the first derivative of x**v - 1 + x**4 - 4 wrt x?
8*x**3
Let j(o) = -5*o**4 + 3*o**3 + 2*o**2 - 7*o - 5. Let x(f) = -f**3 - f**2 - f + 1. Let b(p) = -j(p) - 5*x(p). What is the third derivative of b(w) wrt w?
120*w + 12
Let x(w) be the third derivative of w**9/252 - 13*w**7/210 + w**5/5 - w**3/3 + 101*w**2. Find the third derivative of x(s) wrt s.
240*s**3 - 312*s
Let q(x) = 47*x**2 - 19*x - 9. Let v(s) = -48*s**2 + 18*s + 11. Let w(y) = -6*q(y) - 5*v(y). Find the second derivative of w(g) wrt g.
-84
Let c(g) = -200*g**2 + 7*g - 4. Let a(h) = -400*h**2 + 13*h - 8. Let w(z) = -4*a(z) + 9*c(z). What is the second derivative of w(y) wrt y?
-400
Let f(g) = 810*g**3 + 379*g**2 - 5*g - 4. Let a(x) = -811*x**3 - 380*x**2 + 6*x + 5. Let u(q) = 4*a(q) + 5*f(q). What is the third derivative of u(c) wrt c?
4836
Suppose 0 = -o + 29 - 25. What is the second derivative of -2*d**4 + 15*d - 18*d**4 + 0*d**o wrt d?
-240*d**2
Let u(a) = -2*a**3 + 9*a**2 + 87*a. Let m(h) = -h**3 + 4*h**2 + 43*h. Let r(l) = -9*m(l) + 4*u(l). Find the second derivative of r(q) wrt q.
6*q
Let y(i) = 78*i**2 + 57*i + 6. Let w(r) = r**2 - 2*r + 1. Let j(g) = 6*w(g) - y(g). Find the second derivative of j(d) wrt d.
-144
Suppose 8 = 4*p - 4, -12 = -3*v - 2*p. Find the third derivative of -5*t**4 - 11*t**4 - t**4 - 6*t**4 - 25*t**v wrt t.
-552*t
Let b(q) be the second derivative of -q**7/21 + 7*q**6/15 - 47*q**3/6 + 20*q - 2. What is the second derivative of b(k) wrt k?
-40*k**3 + 168*k**2
Let b(p) = -p**2 + 13. Let n be b(3). Find the second derivative of o - 32*o - n*o**5 + 3*o**5 + 4*o wrt o.
-20*o**3
Let a be (4 - (-9)/(-2))*6. Let k be (1 - a)/4*5. What is the third derivative of -4*f**3 + 7*f**5 - 11*f**k + 4*f**3 + f**2 wrt f?
-240*f**2
Let q(r) = -2*r + 50. Let m be q(8). What is the derivative of -m + 23*k**3 + 24*k - 24*k wrt k?
69*k**2
Let n(q) be the third derivative of 39*q**5/20 - q**4/24 + 232*q**3/3 - q**2 + 48*q. Find the second derivative of n(r) wrt r.
234
Let x(z) = -248*z**2 + 5*z + 282. Let n(v) = -372*v**2 + 8*v + 422. Let h(m) = 5*n(m) - 8*x(m). What is the derivative of h(i) wrt i?
248*i
Let s(i) = -24*i + 44. Let w(a) = -a**2 + 24*a - 45. Let t(y) = -3*s(y) - 2*w(y). Differentiate t(c) wrt c.
4*c + 24
Let x(o) be the first derivative of -8*o**7/7 - 3*o**4/2 - 341*o**3/3 + 4. What is the third derivative of x(h) wrt h?
-960*h**3 - 36
Find the third derivative of 17*v**4 - 80*v**2 + 4*v + 125*v**2 - v**3 - v**3 wrt v.
408*v - 12
Find the first derivative of -57 - 2*x**2 - 7*x**2 - 84 + 231 + 191*x**2 wrt x.
364*x
Let f(i) = -305*i**3 + 5*i**2 + 5*i + 63. Let k(t) = 153*t**3 - 3*t**2 - 3*t - 32. Let x(d) = 3*f(d) + 5*k(d). What is the derivative of x(m) wrt m?
-450*m**2
Let h(m) = 17*m - 9. Let j be (-2)/(-8)*4*4. Let v be h(j). What is the third derivative of 12*f**2 - 5*f**2 + 64*f**3 - v*f**3 wrt f?
30
Let d(v) be the first derivative of 153*v**2/2 + 135*v + 69. Differentiate d(p) wrt p.
153
Find the third derivative of 482*t - 241*t - 385*t**3 - 33*t**2 - 236*t wrt t.
-2310
Let d(b) be the second de