h). Differentiate k(y) wrt y.
2*y + 7
Suppose -204 + 5509 = 5*r. Find the first derivative of -r - 2*d + 46*d + 1108 wrt d.
44
Let o(x) = 15*x**4 - 37*x - 11. Let f(a) = -5*a**4 + 12*a + 4. Suppose -50 = 5*p - 30. Let r(h) = p*o(h) - 11*f(h). What is the second derivative of r(z) wrt z?
-60*z**2
What is the second derivative of -54 + 216*m - 308*m**2 - 214*m + 153 wrt m?
-616
Suppose -931*t = -929*t. Let d(f) be the third derivative of 0 + 1/10*f**5 + f**2 + t*f + 0*f**3 + 1/4*f**4. Find the second derivative of d(g) wrt g.
12
Let d(y) be the second derivative of 0*y**5 + 0 + 35*y + 0*y**3 + 11/6*y**4 + 31/30*y**6 + 0*y**2. Find the third derivative of d(v) wrt v.
744*v
Let j(k) be the third derivative of k**9/8 - k**5/30 + 8*k**3/3 + 63*k**2. What is the third derivative of j(n) wrt n?
7560*n**3
Suppose -s - 8 = -4*q, -3*q = 2*q + s - 1. Let v be q/(9/(-6) - -2). What is the third derivative of 5*b**v + 0*b**2 - 2*b**2 + 5*b**5 + b**2 wrt b?
300*b**2
Let y(l) be the third derivative of -31/120*l**6 + 0*l - 9*l**2 - 10/3*l**3 + 0 + 0*l**5 + 0*l**4. Find the first derivative of y(f) wrt f.
-93*f**2
Let h(j) be the first derivative of 17*j**7/210 + 2*j**3 - 3*j**2 + 8. Let k(o) be the second derivative of h(o). Differentiate k(v) wrt v.
68*v**3
Suppose -9 = -2*f + 3. Suppose f = q + 1. What is the second derivative of 0 + h - 6*h + 0 - q*h**5 wrt h?
-100*h**3
Let t(q) = -20*q - 32. Let m = -90 + 85. Let u(d) = 21*d + 33. Let h(p) = m*u(p) - 4*t(p). What is the first derivative of h(n) wrt n?
-25
Let y(t) = 118*t**5 - 8*t**4 + 4*t**3 - 109*t**2 - 3. Let r(s) = -s**5 - 2*s**4 + s**3 - 1. Let w(x) = 4*r(x) - y(x). Find the third derivative of w(m) wrt m.
-7320*m**2
Let h(z) = -72*z**2 + 10*z + 4. Let k(t) = t**2 + t + 3. Let b(l) = -h(l) + 4*k(l). Find the second derivative of b(y) wrt y.
152
Let b(h) be the second derivative of -h**7/120 - h**5/8 + h**4/6 + 21*h. Let n(m) be the third derivative of b(m). Differentiate n(o) wrt o.
-42*o
What is the first derivative of -503 + 81 + 109*n - 12*n + 87*n wrt n?
184
Let r(i) = -i**5 + i**3 + i**2 + i - 1. Let n(y) = 6*y**5 - 47*y**3 - 8*y**2 + 19*y + 3. Let m(k) = -n(k) - 3*r(k). What is the third derivative of m(z) wrt z?
-180*z**2 + 264
Let j(t) be the first derivative of -5*t**2 + 0*t**3 + 0*t**4 + 0*t + 1/5*t**5 + 4. What is the second derivative of j(o) wrt o?
12*o**2
Let j be ((-2)/4)/((-3)/48). Suppose 3*w = -w - f + 108, 0 = -2*f + j. What is the second derivative of -3*r**3 - 5*r + w - 26 wrt r?
-18*r
Find the first derivative of -18 + 18661*b - 18661*b + 80*b**2 wrt b.
160*b
Let k(d) be the third derivative of -5*d**9/252 - d**8/24 - 47*d**5/60 + 9*d**2 + 1. What is the third derivative of k(p) wrt p?
-1200*p**3 - 840*p**2
Let r(i) = 234*i**3 - 106*i**2 + 3*i - 6. Let m(u) = -u**3 - 2*u**2 + u - 2. Let x(c) = 3*m(c) - r(c). Find the third derivative of x(g) wrt g.
-1422
Let o(u) be the third derivative of -31*u**7/70 - u**4/24 + 16*u**3/3 - 143*u**2 - 1. Find the second derivative of o(l) wrt l.
-1116*l**2
Let y(o) = -6*o + 3 + 3*o + 4*o. Let n be y(0). Find the third derivative of 0*l**2 - 10*l**3 + 6*l**2 + 4*l**n wrt l.
-36
What is the second derivative of -375*a - 629*a**3 - 115*a + 887*a**3 wrt a?
1548*a
Suppose 0 = -52*i + 53*i - 2. Find the third derivative of 193*g - i*g**2 + 11*g**3 + 0*g**2 - 193*g wrt g.
66
Let z(a) = a + 12. Suppose y + 0*y = -9. Let r be z(y). What is the second derivative of -r*p**3 + p**3 - p + 0*p wrt p?
-12*p
Let u(x) be the second derivative of -17*x**4/3 + x**3/6 - 363*x**2/2 + 8*x - 5. Find the first derivative of u(r) wrt r.
-136*r + 1
Let l(m) = 17*m**2 - 3*m + 193. Let f(r) = -9*r**2 + r - 95. Let c(q) = -10*f(q) - 4*l(q). What is the derivative of c(y) wrt y?
44*y + 2
Let c(b) be the second derivative of -b**3/6 + 11*b**2/2 + 4*b. Let v be c(7). Find the third derivative of -6*o**2 + 4*o**5 - v*o**5 + 5*o**5 wrt o.
300*o**2
Let v(y) be the third derivative of 0*y**3 + 0*y**4 - 6*y**2 - 1/20*y**5 + 1/20*y**6 + 0*y + 0. Find the third derivative of v(c) wrt c.
36
Let i(d) be the third derivative of -61*d**9/504 - 3*d**5/20 - 7*d**4/12 - 217*d**2. What is the third derivative of i(u) wrt u?
-7320*u**3
Let a(s) = -s**2 + 19*s + 5. Let d be (-8)/(-4) + (-1 - -18). Let f be a(d). What is the second derivative of f*o + 55*o**2 + 2*o - 68*o**2 wrt o?
-26
Let o be 0/(12/(-8) + 3/6). Let v(y) be the second derivative of o - 5/6*y**3 + 4*y**2 + 5*y. Find the first derivative of v(j) wrt j.
-5
Let d be (144/(-21))/(-4) - (-10)/35. What is the second derivative of u + 3 - 3 - u**2 + 13*u**d wrt u?
24
Let t(j) = 4*j - 18. Let v be t(5). Find the third derivative of 9*o**v - 13*o**6 + o**3 + 11*o**3 - 12*o**3 wrt o.
-1560*o**3
Let i(v) = -7*v + 19. Let c(t) = -38 + 3*t + 12*t - t + 0*t. Let g(x) = -3*c(x) - 5*i(x). Find the first derivative of g(n) wrt n.
-7
Let u(b) be the second derivative of 31*b**5/10 + 241*b**4/12 + 238*b. What is the third derivative of u(w) wrt w?
372
Let c be 1503/117 - (-2)/13. Find the first derivative of 36 - 65 + 44 + c*j**2 wrt j.
26*j
Let i(p) be the first derivative of -19*p**2/2 + 55*p - 20. What is the first derivative of i(w) wrt w?
-19
Suppose -2*o - 6 = -4*u, 5*u = -2*o + 3*u + 18. Differentiate 2*s**2 + 1 + 5*s**2 + 0 - o*s**2 with respect to s.
4*s
Let l = -229 - -229. Let h(r) be the second derivative of l + r**2 - 3*r - 1/2*r**3. Find the first derivative of h(i) wrt i.
-3
Differentiate -65*s**4 - 135 - 69*s**4 - 68*s**4 + 196*s**4 + 443 + 13*s**2 wrt s.
-24*s**3 + 26*s
Let o be -12 + 0*4/12. Let x be (o/48)/((-2)/16). What is the second derivative of 2*k**5 - 2*k - 3*k**x - 4*k**5 + 3*k**2 wrt k?
-40*k**3
Let a(n) be the first derivative of 0*n + 4*n**2 + 0*n**4 + 7/5*n**5 + 0*n**3 + 8. What is the second derivative of a(y) wrt y?
84*y**2
Suppose 0 = 3*d - 4*s - 22, -s - 2 = s. Suppose 0*f = -3*f + d. Find the third derivative of -10*x**2 - f*x**6 + 18*x**2 - 3*x**2 wrt x.
-240*x**3
Let r(z) be the third derivative of z**5/12 - z**4/8 + 2*z**3/3 + 4*z**2 + 7*z. Find the second derivative of r(q) wrt q.
10
What is the second derivative of -588*h**3 + 42*h + 42*h**2 + 3 - 43*h**2 + h**2 wrt h?
-3528*h
Let o be ((-530)/(-20))/(2/4). Find the third derivative of -53*m**4 + 18*m**6 + o*m**4 + 4*m**2 wrt m.
2160*m**3
Let y(v) = v**2 - 8*v + 3. Let j be y(8). Let a be (3/(-9))/(j/(-18)). What is the third derivative of 5*o**5 - 26*o**a + 3*o**5 + 25*o**2 wrt o?
480*o**2
What is the third derivative of -482 - 612*l**3 + 85*l**2 + 14*l**2 - 46*l**2 - 51*l**2 wrt l?
-3672
Find the third derivative of -235*o**2 - 105*o + 70*o + 35*o - 534*o**5 wrt o.
-32040*o**2
Let v(m) = -371*m + 99. Let c(g) = 372*g - 100. Let x(t) = -4*c(t) - 3*v(t). What is the first derivative of x(s) wrt s?
-375
Suppose -3*c + 4*c - 4 = 0. Find the third derivative of 7*f**4 - f**2 - 8*f**c - 8*f**2 wrt f.
-24*f
Find the second derivative of x**5 + 7*x**3 - 39*x**3 + 189*x - 704*x**2 + 704*x**2 wrt x.
20*x**3 - 192*x
Let k = 1932 - 275. What is the first derivative of -1 - k*g + 1676*g - 2 wrt g?
19
Let n(o) be the first derivative of 13*o**7/210 - 2*o**3/3 - 15*o**2/2 - 11. Let u(s) be the second derivative of n(s). Find the first derivative of u(q) wrt q.
52*q**3
Let k(g) be the third derivative of 29*g**5/15 - 101*g**3/6 - g**2 + 22*g. What is the first derivative of k(a) wrt a?
232*a
What is the third derivative of -3*j + 311*j**5 - 886*j**4 - 63*j**2 + 1764*j**4 - 878*j**4 wrt j?
18660*j**2
Let s(i) = -i**4 - i**3 + 3*i**2 - 1. Let m(w) = -47*w**4 - 3*w**3 + 11*w**2 - 10. Let g(k) = m(k) - 3*s(k). What is the third derivative of g(y) wrt y?
-1056*y
Suppose 0 = -4*o + 3*x - 9 + 38, -o + x = -8. Differentiate p - o*p - 5 + 3*p wrt p.
-1
What is the third derivative of -3*c**3 - 11847*c**5 + 1 + 11847*c**5 + 3*c**2 + 12*c**6 wrt c?
1440*c**3 - 18
Let p(t) = -3*t**2 - 25*t - 6. Let q be p(-8). What is the third derivative of 6*w**q + 2*w**2 + 0*w**2 - w**2 - 20*w**3 wrt w?
-120
Let s = -20 + 27. Let c(q) = 5*q + 13. Let b be c(s). Find the second derivative of 4*p + 39*p**5 - 3*p - b*p**5 wrt p.
-180*p**3
Let g(m) = m**4 + m**3 - m**2 + m + 1. Let t(f) = 40*f**4 + 5*f**3 - 5*f**2 + 11*f - 4. Let a(v) = -5*g(v) + t(v). What is the second derivative of a(j) wrt