t v?
2
Let c(l) be the second derivative of -l**7/210 - 11*l**5/60 + 7*l**2 - 6*l. Let u(f) be the first derivative of c(f). Find the third derivative of u(y) wrt y.
-24*y
Suppose -4*y - 2*b + 190 = 66, -2*y + 82 = -4*b. What is the second derivative of -21*s - 32*s**2 + s - y*s wrt s?
-64
Let o = 542 + -538. Let q(v) be the second derivative of 0 - 1/2*v**2 + 4*v + 0*v**3 + 1/3*v**o. What is the derivative of q(d) wrt d?
8*d
Find the third derivative of -12*c**3 - 19*c - 8*c + 9005*c**4 + c**2 - 9002*c**4 wrt c.
72*c - 72
Differentiate 265 - 2*u - 307 + 90*u**4 + 167 wrt u.
360*u**3 - 2
Let i(a) = 3*a - 38. Let w be i(14). What is the first derivative of 6 - 32 - 4*k**w - 4 wrt k?
-16*k**3
Let a be (-81)/(-15) - (-2)/(-5). What is the second derivative of -3*z**5 - a*z**5 + z**5 + 101*z - 78*z wrt z?
-140*z**3
Find the third derivative of -210*n**2 - 10*n**4 - 7*n**3 + 4*n**4 + 29*n**2 wrt n.
-144*n - 42
What is the first derivative of 75 + 121 - 94*m**4 + 402*m**4 + 182 wrt m?
1232*m**3
Let z(k) be the first derivative of 17*k**6/6 + 8*k**3/3 + k**2 - 60. Find the third derivative of z(g) wrt g.
1020*g**2
Let v(g) = 105*g**2 + 14*g - 17. Let m(y) = 53*y**2 + 6*y - 8. Let d(k) = -13*m(k) + 6*v(k). What is the second derivative of d(t) wrt t?
-118
Let x be -4 + 3*(-12)/(-4). Suppose -x*w = -5*j + 10, 3*w - 2*j + 0 = -1. What is the second derivative of -39*t**3 + 11*t**4 + 39*t**w + 11*t wrt t?
132*t**2
Let f(c) be the second derivative of 0 - 1/3*c**3 + c**2 + 1/24*c**4 + c. Let y(r) be the first derivative of f(r). What is the derivative of y(b) wrt b?
1
Let i(f) be the first derivative of 10*f**4 - 101*f**3/3 + 161. What is the third derivative of i(x) wrt x?
240
Let v(l) = 1463*l**3 - 11*l**2 + 179*l + 9. Let z(w) = 292*w**3 - 2*w**2 + 36*w + 2. Let n(j) = -2*v(j) + 11*z(j). Find the second derivative of n(q) wrt q.
1716*q
Let o(m) = m**4 - m**3 + m**2 + 1. Let n(w) = -w**4 - 86*w**3 - 3*w**2 + 38. Let g(d) = -n(d) - 3*o(d). Find the first derivative of g(p) wrt p.
-8*p**3 + 267*p**2
Let c(v) be the first derivative of 14 - 1/4*v**4 + 0*v**2 + 0*v**3 + 15*v. Differentiate c(o) wrt o.
-3*o**2
Find the second derivative of 1 - 13*y**2 - 3*y + y**3 - 14*y**2 - y - 15*y**2 + 43*y**2 wrt y.
6*y + 2
Let z = 4 - 0. Let g(a) = 9*a**4 + 135. Let r(c) = -c**4 - 17. Let f(m) = z*g(m) + 33*r(m). Differentiate f(s) with respect to s.
12*s**3
What is the third derivative of -5*m**4 - 17*m**4 + 19*m**4 + m**4 + 526*m**3 - 606*m**2 wrt m?
-48*m + 3156
Let g(f) = -2*f**2 - 7*f - 1. Let k be g(-2). Find the second derivative of k*h**2 - 19*h + 8*h**4 - 5*h**2 + 9*h**4 wrt h.
204*h**2
What is the first derivative of 438 + 365 + 1127*h**3 - 372*h**3 + 0*h + 0*h wrt h?
2265*h**2
Let d(a) = 2*a**3 - a**2 + a - 1. Let y(k) = -6*k**3 - 3*k**2 + 5*k - 222. Let c(f) = 5*d(f) - y(f). Find the first derivative of c(t) wrt t.
48*t**2 - 4*t
Let i(t) = -41*t**4 + 5*t**3 - 335*t**2 - 24*t. Let h(o) = -8*o. Let l(q) = -3*h(q) + i(q). Find the third derivative of l(n) wrt n.
-984*n + 30
Let t(h) be the first derivative of -17*h**4/12 + 5*h**3/2 - 6*h - 24. Let y(z) be the first derivative of t(z). Find the second derivative of y(j) wrt j.
-34
Let h(t) be the second derivative of -119*t**4/4 + 119*t**3/3 + t - 37. What is the second derivative of h(k) wrt k?
-714
What is the derivative of 81*p + 13*p + 107*p + 357 - 6*p + 6*p wrt p?
201
Differentiate 87*y**4 - 3 - 6 + 35*y**4 + 22*y**4 - y**3 + 2*y**3 with respect to y.
576*y**3 + 3*y**2
Suppose -42*j = -20*j. Let c(a) be the third derivative of 0*a + 1/30*a**5 - 1/24*a**6 + 0*a**3 - 7*a**2 + 0 + j*a**4. Find the third derivative of c(l) wrt l.
-30
Suppose -2*w + 6*w = 0. Suppose w = 2*x + x - 6. What is the third derivative of 6*n**6 + 0*n**2 + n**6 - n**2 + x*n**2 wrt n?
840*n**3
Let n(z) = 216*z**2 - 10. Let c(v) = -43*v**2 + 2. Let p = 78 - 81. Let f(k) = p*n(k) - 16*c(k). Differentiate f(m) wrt m.
80*m
Let d(s) be the first derivative of -18 - 272*s**3 + 11*s**4 + 269*s**3 + s - 30. Find the third derivative of d(r) wrt r.
264
Let x = 0 + 3. Let p(d) = d - 6. Let z(v) = -2*v + 13. Let c be (0 - 0/(-1)) + 7. Let i(u) = c*p(u) + x*z(u). What is the derivative of i(r) wrt r?
1
Let g be (5 + -1 - 2) + 1. What is the second derivative of 14*f - 29*f**5 + 21*f - g*f wrt f?
-580*f**3
Find the first derivative of -348 - 12*r**4 - 2*r**2 + 30*r**2 - 2*r - 10*r**2 - 18*r**2 wrt r.
-48*r**3 - 2
Let b = -103 - -111. Find the second derivative of -p**5 - p**5 + 14*p**5 + 7*p + b*p wrt p.
240*p**3
Let k(v) = -159*v**2 + 59*v + 4. Let m(u) = 797*u**2 - 294*u - 22. Let a(s) = 22*k(s) + 4*m(s). What is the second derivative of a(q) wrt q?
-620
Find the third derivative of 1441*g**5 - g**4 + 8*g**2 - 336*g**5 + 2*g**3 - 673*g**5 + g**4 + 16 wrt g.
25920*g**2 + 12
What is the second derivative of 22*l**2 - 24*l + 12*l - 74*l**2 - 16*l wrt l?
-104
Let y be (-4)/3 - (-2244)/306. Let u(v) be the second derivative of 7/12*v**4 + 0*v**2 - y*v - 5/6*v**3 + 0. Find the second derivative of u(c) wrt c.
14
What is the first derivative of -63*x - 105 + 327*x + 9*x + 76*x + 449 wrt x?
349
Let u = -1 + 20. What is the derivative of u + 22 + 9 + 25*j wrt j?
25
Let b(n) be the third derivative of 0 + 3/8*n**4 + 7/30*n**5 - 4*n**2 + 0*n**3 + 0*n. What is the second derivative of b(w) wrt w?
28
Find the third derivative of 10*c**4 + 80*c**4 + 10 + c**2 - 9*c**4 wrt c.
1944*c
Let x be (2 + 2)/(-2)*(-1 - 4). What is the third derivative of -17*f**6 + x*f**2 - 7*f**6 + 3*f**6 wrt f?
-2520*f**3
Let d(b) = -46*b + 26. Let x = 17 + -28. Let j(g) = -9*g + 5. Let v(l) = x*j(l) + 2*d(l). What is the derivative of v(a) wrt a?
7
Let z(i) = -2*i**3 + i**2 - 3*i - 3. Let x be z(-1). What is the first derivative of -5 + 1 - 14 - x*w + 4 wrt w?
-3
Let m(r) = 64*r**2 - 4*r - 19. Let l(h) = -h**2 - h - 1. Let d(i) = -6*l(i) + m(i). What is the second derivative of d(q) wrt q?
140
Let j = -23 + 38. Differentiate -15 + j - 4 + 17*f**2 wrt f.
34*f
Suppose 2*z + t - 31 = -3*z, -5*t = -4*z + 48. Suppose -z = -5*b + 3. What is the third derivative of b*l**2 - 5*l**5 + 2*l**5 + 2*l**5 wrt l?
-60*l**2
Find the third derivative of -u + 87*u**5 - 1 + u + 50*u**5 + 42*u**2 wrt u.
8220*u**2
Let i(n) = n**3 + 9*n**2 + 13*n + 5. Let y be i(-7). What is the second derivative of k**5 + 0*k + 15*k - 12*k**2 + y*k**2 wrt k?
20*k**3
Let q(u) = 2*u**4 + 140*u**2 + 116*u - 8. Let j(d) = -2*d - 1. Let r(f) = 6*j(f) - q(f). What is the second derivative of r(l) wrt l?
-24*l**2 - 280
Let i(x) be the first derivative of 11*x**4/4 - 10*x**3/3 + 33*x - 287. What is the first derivative of i(p) wrt p?
33*p**2 - 20*p
Suppose -w + 81 = -2*r, w + 4*w - 2*r - 373 = 0. Find the first derivative of 37 + 35 - 41*v**3 - w wrt v.
-123*v**2
Find the third derivative of -33*z**4 - 78*z**2 - z + 29*z**4 - 57*z**4 - 14*z**4 wrt z.
-1800*z
What is the first derivative of 41*q - 33*q**2 + q - 42*q + 103 wrt q?
-66*q
Let u(g) = -156*g**2 - 10*g - 318. Let r(t) = 233*t**2 + 14*t + 477. Let o(n) = 5*r(n) + 7*u(n). Differentiate o(v) with respect to v.
146*v
Let g(s) = -s + 1. Let d(u) be the third derivative of -u**4/8 + 13*u**3/6 + 2*u**2. Let r(l) = 2*d(l) - 14*g(l). What is the derivative of r(w) wrt w?
8
Let h = -31 - -36. Suppose -5*c - h*w + 5 = 0, -14 = -5*c - 2*w - 0*w. Differentiate 3 + c + 0 + 3*f**3 + f**3 with respect to f.
12*f**2
Let p(r) be the third derivative of 2*r**6/3 - 71*r**5/60 - 7*r**2 + 9. What is the third derivative of p(n) wrt n?
480
Let q(v) be the first derivative of -v**4/2 - 14*v**3 - v**2/2 + 35*v - 548. What is the second derivative of q(r) wrt r?
-12*r - 84
What is the third derivative of -519*q**2 - 439*q**3 + 653*q**2 - 513*q**2 wrt q?
-2634
Let y(f) = 8*f + 6. Let h(c) = -3*c - 2. Let x(d) = -11*h(d) - 4*y(d). Let n be x(5). Differentiate -1 + 6 + b + n*b with respect to b.
4
What is the second derivative of -a + 2*a**4 + 8*a**3 + 37 - 11*a**3 + a**3 - 9*a**4 wrt a?
-84*a**2 - 12*a
Let x(w) = -4*w + w + 2*w. Let p(s) = -17*s + 14. Let k(c) = p(c) - 6*x(c). What is the first derivative of k(f) wrt f?
-11
Let a(v) be the first derivative of -v**6/3 - 32*v**3/3 - v**2/2 + 141*v - 139. What is the second derivative of a(p) wrt p?
-40*p**3 - 64
Find the third derivative of -54*