07. Differentiate r(y) with respect to y.
-173
What is the third derivative of -26947*z - 7*z**3 - 124*z**2 + 26947*z - z**5 wrt z?
-60*z**2 - 42
Let i(x) = x**3 + 4*x**2 - 6*x - 2. Let y be i(-5). Suppose -4*k + 5*k - y = 0. What is the derivative of k + 2*r - 6 + 1 wrt r?
2
Let x be ((-63)/(-15) - 4)/((-2)/(-30)). What is the second derivative of -135*v**x - 38*v + 276*v**3 - 137*v**3 wrt v?
24*v
Let u(t) be the third derivative of 91*t**5/30 + t**4/12 + 14*t**3/3 + t**2 + 29. What is the second derivative of u(r) wrt r?
364
Suppose 5*z + 2*m = 75, 0 = -5*z + 2*m + 2*m + 75. Find the second derivative of 5*i**4 - z*i**4 + 26*i - 8*i - 3*i**4 wrt i.
-156*i**2
Let n be 1106/(-126) + 4/(-18). Let z be (3 - 6)*6/n. What is the third derivative of 3*i**2 - z*i**5 - 2 + 0*i**5 + 2 wrt i?
-120*i**2
What is the third derivative of -283*c**2 - 653*c**3 - 399 + 204 + 195 wrt c?
-3918
Let b(z) = -68*z**5 + 3*z**4 + 65*z**2 - 6*z + 3. Let j(y) = -y**5 - y**4 - y**2 + 2*y - 1. Let v(u) = b(u) + 3*j(u). Find the third derivative of v(x) wrt x.
-4260*x**2
Let a be -1*(0 - 2) + 3. Suppose 3*i - 2*t = -a*t + 21, 0 = -5*i + 2*t. Find the second derivative of 7*b**2 - i*b - 5*b + 0*b wrt b.
14
Suppose 11*n = 15*n - 28. Let k(y) = 3*y**3 + 7*y**2 - 39. Let i(z) = 2*z**3 + 5*z**2 - 26. Let a(g) = n*i(g) - 5*k(g). What is the derivative of a(d) wrt d?
-3*d**2
Let v(z) = z**3 - z + 1. Let g(l) = -36*l**3 - 3*l - 20. Let j be (-1 - 4/(-7)) + (-40)/70. Let a(p) = j*g(p) + 3*v(p). Find the first derivative of a(b) wrt b.
117*b**2
Differentiate -y**3 - 83*y - 3*y + 71*y + 327 with respect to y.
-3*y**2 - 15
Let g(j) be the first derivative of 49*j**2 - 64*j - 40. What is the derivative of g(y) wrt y?
98
Suppose -2*z - 61 = -3*g + 3*z, -z = -5*g + 65. What is the derivative of -7 - 20*o + 10*o + g*o wrt o?
2
Let g(p) = -6*p + 4*p**2 + p**3 + 4 - 2 + p**2. Let r be g(-6). Find the third derivative of w**2 - 2*w**6 - w**2 + w**r wrt w.
-240*w**3
Let y(s) be the first derivative of 5*s**6/6 + 4*s**3/3 - 2*s**2 + 3*s - 6. What is the second derivative of y(j) wrt j?
100*j**3 + 8
Let p = 30 - 23. What is the third derivative of 0*o**3 - 3*o**2 + 9*o**2 + 3*o**3 - p*o**3 wrt o?
-24
Let j = -28 - -7. Let p = -19 - j. Find the third derivative of 15*v**4 - 3*v**p + 2*v**2 - 4*v**4 wrt v.
264*v
Suppose n = 5*n - 84. Let r = 25 - n. What is the second derivative of r*c**2 - 6*c + c + 5*c**2 + 2*c wrt c?
18
Let v(n) be the first derivative of 0*n**2 - 9 + 3*n**2 - 3*n + 5*n. Differentiate v(b) wrt b.
6
Let j(i) be the first derivative of -5*i**6/6 - 23*i**4/4 - 213*i**3 + 294. What is the third derivative of j(g) wrt g?
-300*g**2 - 138
Let f(l) = 290*l**4 - 15*l**3 + 117*l**2 + 5. Let i(h) = -3*h**3 + h**2 + 1. Let t(s) = -f(s) + 5*i(s). Find the third derivative of t(c) wrt c.
-6960*c
Let y(k) be the third derivative of 0*k + 7*k**2 + 0 + 0*k**4 - 3/2*k**3 - 13/60*k**5. Differentiate y(v) wrt v.
-26*v
Find the third derivative of 241*g**2 + 289*g**2 + 4*g**2 - 105*g**3 wrt g.
-630
Let p(h) be the first derivative of -49*h**4/4 + h**3 + 41*h**2/2 - 3*h - 19. Find the second derivative of p(r) wrt r.
-294*r + 6
Let i = 17 - 12. Let l = 9 - i. Find the first derivative of w + w - 2*w + 4 - 6*w**l wrt w.
-24*w**3
Let g(s) = s**2 + s + 1. Let t be g(0). Suppose 3*x - 7 = -t. What is the second derivative of -x*v**4 - 6*v + 0*v**4 + 0*v**4 wrt v?
-24*v**2
Let m(l) = 26*l - 1. Let c(h) = -5*h. Let r be ((-88)/12)/((-6)/9). Let p(o) = r*c(o) + 2*m(o). Differentiate p(i) wrt i.
-3
Let o(i) be the first derivative of -i**8/28 + i**4/3 + i + 15. Let n(v) be the first derivative of o(v). Find the third derivative of n(b) wrt b.
-240*b**3
Let y be 0*((-10)/4)/(-5). Suppose 0 = j - y*j - 16. Let p(b) = 4*b**2 - 12. Let r(m) = 1. Let x(u) = j*r(u) + p(u). What is the first derivative of x(w) wrt w?
8*w
Let p(i) = 18*i**4 + 6*i**2 - 12*i - 12. Let a(t) = t**2 + t + 1. Let x = -39 + 40. Let v(k) = x*p(k) + 12*a(k). Find the third derivative of v(j) wrt j.
432*j
Let w(v) = 10*v**2 + 6*v + 219. Let q(d) = -d**3 - 10*d**2 - 8*d - 218. Let z(t) = -3*q(t) - 4*w(t). What is the first derivative of z(s) wrt s?
9*s**2 - 20*s
Suppose h = 3*h - z - 2, 3*z = h + 9. What is the third derivative of 63 + 17*o**2 - 63 - 7*o**6 + h*o**2 wrt o?
-840*o**3
Let t(f) be the first derivative of 118*f**5/5 - 47*f**3/3 + 256. Find the third derivative of t(c) wrt c.
2832*c
Let x(u) be the third derivative of -u**4/6 - u**3/2 + 3*u**2. Let o be x(-2). What is the second derivative of -4*v**4 - 5*v**4 + o*v + 11*v**4 + 0*v wrt v?
24*v**2
Differentiate 81 + 562 - 242*t**4 + 140*t**4 with respect to t.
-408*t**3
What is the third derivative of -2*i**4 - 3693*i**3 + 3693*i**3 + 0*i**5 + 1 + 18*i**2 - 5*i**5 + 21*i**5 wrt i?
960*i**2 - 48*i
What is the derivative of 135*u**2 + 228 + 11 + 11*u**2 wrt u?
292*u
Let x = 108 + -103. Let u be (-2)/(2/2 - 2). Find the second derivative of -4*y + y**x + y**5 + u*y**5 wrt y.
80*y**3
Let l(h) be the third derivative of h**6/20 - h**5/20 - 12*h**3 + 68*h**2. Differentiate l(j) with respect to j.
18*j**2 - 6*j
Find the second derivative of -20*x + 24*x + 2 + 304*x**3 - 3 + 0 + 28*x wrt x.
1824*x
Let y(v) = 6*v - 12. Let o(t) be the third derivative of -5*t**4/24 + 11*t**3/6 + 12*t**2. Let z(c) = -4*o(c) - 3*y(c). Differentiate z(b) wrt b.
2
What is the third derivative of -122*r**2 + 2*r**3 + 3*r**4 + 19*r**3 + 36*r**2 wrt r?
72*r + 126
Let t = -47 + 27. Let x = t - -27. Find the third derivative of x*y**5 + 25*y**4 - 25*y**4 - 3*y**2 wrt y.
420*y**2
Suppose 2*s - o = s, -2 = 3*s - 4*o. Find the second derivative of 84*a**2 + 34*a + 97*a**s - 140*a**2 wrt a.
82
What is the second derivative of 121*o + 368*o**3 - 368*o**3 + 173*o**5 + 17*o**5 wrt o?
3800*o**3
Let l(k) = -17*k**3 + 7*k**2 + 39*k + 149. Let j(a) = -7*a**3 + 3*a**2 + 20*a + 75. Let v(r) = -7*j(r) + 3*l(r). Differentiate v(z) with respect to z.
-6*z**2 - 23
Let b be ((-180)/(-48))/((-6)/16). Let o(x) = x + 19. Let t be o(b). What is the second derivative of t*f**3 + 0*f**3 + 82*f - 80*f wrt f?
54*f
Let q(j) = 22*j - 4. Let h be 14/(-4)*(-24)/14. Let o = 13 - h. Let z(k) = 15*k - 3. Let d(m) = o*z(m) - 5*q(m). What is the first derivative of d(w) wrt w?
-5
Let f be (1 - -1) + (4 - 12). Let z be ((-3)/(-2))/(f/(-112)). What is the second derivative of z*b**2 - 26*b**2 - 4*b + 2*b wrt b?
4
Let j(p) be the second derivative of 89*p**7/7 + 5*p**3/6 + 73*p**2/2 - 9*p + 37. What is the second derivative of j(y) wrt y?
10680*y**3
Let l(k) be the second derivative of 0*k**2 + 1/6*k**7 + 0*k**5 + 0 + 0*k**6 + 0*k**3 - 3/4*k**4 - 5*k. Find the third derivative of l(n) wrt n.
420*n**2
Let g(l) = -l - 10. Let x = -39 - -25. Let z be g(x). Find the third derivative of 6*c**z - 7*c**4 + 6*c**2 + 3*c**4 wrt c.
48*c
Suppose 13 = 3*n - 4*d, n + 0 = -4*d - 1. What is the third derivative of -7*q**2 - 2*q**2 + 2*q**2 - 4*q**2 - 2*q**n wrt q?
-12
Let p = 67 - 65. What is the third derivative of -543*y + 23*y**6 + 25*y**p + 543*y wrt y?
2760*y**3
Let t(k) be the second derivative of k**6/6 + 6*k**5/5 + 265*k**4/12 - 396*k - 1. Find the third derivative of t(p) wrt p.
120*p + 144
Find the third derivative of 164*m**3 - 264*m**2 + 18640*m - 18640*m wrt m.
984
Suppose 4*w = 2*w - 6. Let l be 14/4 + w/(-6). Find the second derivative of 1 - 1 + 5*b**l + 15*b - 23*b wrt b.
60*b**2
Let j(g) = -g**3 - 7*g**2 + 6*g - 7. Let q be j(-8). Let n = 68 - 59. Find the first derivative of 4*f**3 + n*f - 12 + 9*f**3 - q*f wrt f.
39*f**2
Differentiate 2*u - 69 + 22*u**2 - 35*u**2 + 48*u**2 + 50*u**2 - 110 wrt u.
170*u + 2
Let x(v) = 290*v**4 - 8*v + 359. Let q(d) = -96*d**4 + 3*d - 120. Let z(r) = -8*q(r) - 3*x(r). Find the first derivative of z(o) wrt o.
-408*o**3
Let m be 5 - (-1 + 1)/(-2). Suppose -4*p + 3*p - 3 = 0, p + 21 = 3*k. What is the third derivative of 6*o**4 - 6*o**4 + m*o**2 + o**k wrt o?
120*o**3
Let j(i) = -14*i**2 - 5*i + 22. Let d(r) = -15*r**2 - 4*r + 22. Let c = 23 - 27. Let k(z) = c*j(z) + 5*d(z). Differentiate k(m) wrt m.
-38*m
Suppose -11*r + 28 = -38. What is the third derivative of 1085*o**6 + 2 - 37*o**2 - 537*o**r + 9*o**4 - 546*o**6 wrt o?
240*o**3 + 216*o
Let y = -59 - -36. Let k = 25 + y. Find the third derivative of -4*n**k + 0