153*r + 32*r**2 wrt r.
498*r
Let c(z) = 20*z**3 + 11*z**2 + 15. Let h(x) = 7*x**3 + 4*x**2 + 5. Let p be ((-45)/6)/(-3) - (-3)/2. Let f(u) = p*c(u) - 11*h(u). Differentiate f(g) wrt g.
9*g**2
Suppose 5*i = -2*p + 43, -7*i + 4*i - p = -25. Let s be 16/6*18/12. Find the second derivative of -2*y**4 + i*y**s + 3*y**4 - 6*y wrt y.
96*y**2
Let u be (-2 + 0)/((-3)/12). Let r(z) be the first derivative of u - 2 - 3*z**3 - 6*z - 1. Differentiate r(v) with respect to v.
-18*v
Let w(v) be the third derivative of v**7/210 + 73*v**6/120 - 19*v**3/2 - v**2 + 12*v. Find the first derivative of w(x) wrt x.
4*x**3 + 219*x**2
Let q = -45 - -51. Let t(m) = 1. Let p(s) = -5*s**2 + 6*s - 6. Let i(f) = q*t(f) + p(f). Find the second derivative of i(w) wrt w.
-10
Let s be ((-1)/(-3))/(13/702). What is the third derivative of 18*r**2 + 19*r**5 - 6*r**5 + s*r**5 wrt r?
1860*r**2
What is the third derivative of -26*r**4 - 3*r + 3*r + 236*r**2 + 172*r**2 wrt r?
-624*r
Find the second derivative of 36*j**2 - 55*j - 2 + 33*j - 36*j - 154*j**2 wrt j.
-236
Suppose -w + 4*l + 2 = 0, -6 = w - 2*l - 16. What is the second derivative of -1418*p - w*p**2 - 14*p**2 + 1424*p wrt p?
-64
Let m(y) be the first derivative of -y**3/3 + 7*y**2 + 3*y + 5. Let j be m(14). What is the third derivative of j*f**2 + 2*f**6 + 0*f**2 - 3*f**6 wrt f?
-120*f**3
Let v(c) be the third derivative of -31*c**7/70 + c**6/60 + 401*c**5/60 + 3*c**2 + 113*c. What is the third derivative of v(b) wrt b?
-2232*b + 12
Find the second derivative of 15*v**2 - 15*v**3 - 43*v**2 + 1 + 28*v**2 - 7*v + 4*v**4 wrt v.
48*v**2 - 90*v
Let c(p) = 123*p**2 + 33*p - 1. Let t(h) = 245*h**2 + 67*h - 2. Let y(k) = -7*c(k) + 3*t(k). What is the second derivative of y(m) wrt m?
-252
Find the third derivative of -5*y**4 - 9*y**4 - 3*y**2 - y**2 + 28*y**4 wrt y.
336*y
Let p(i) = i**4 + i**3 + i**2. Let a(n) = 32*n**4 + 9*n**3 + 17*n**2 - n. Let z(g) = a(g) - 6*p(g). What is the third derivative of z(q) wrt q?
624*q + 18
Let i(y) be the second derivative of -y**5/4 + 41*y**4/6 + 431*y**2/2 - y - 68. Find the first derivative of i(m) wrt m.
-15*m**2 + 164*m
Let d(s) be the third derivative of s**7/105 - 3*s**6/20 + 31*s**4/8 - s**3/3 - 17*s**2. Find the second derivative of d(w) wrt w.
24*w**2 - 108*w
Let k(o) = -969*o**2 - 24*o - 146. Let b(z) = 484*z**2 + 13*z + 74. Let d(v) = 11*b(v) + 6*k(v). Find the second derivative of d(p) wrt p.
-980
Let f(n) be the first derivative of 4*n + 12*n**2 - 6 - 3*n - 3*n**2. What is the derivative of f(b) wrt b?
18
Let x = 6 + -1. What is the second derivative of 2*z - 3*z + 8*z**5 + 3*z**x + 0*z wrt z?
220*z**3
Suppose -5*y - 20 + 48 = 2*i, 24 = 5*y + i. What is the third derivative of -24*g**2 + 10*g**y + 18*g**4 - 46*g**4 wrt g?
-432*g
Let f be 8 + 2/3*3. Suppose -3*c + 3*q - q = -f, 3*c - 4*q = 8. What is the second derivative of -11*l + l**4 - 11*l**4 + 3*l**c + 3*l wrt l?
-84*l**2
Let z = 50 - 44. Suppose 0*f = -4*f + 28. Find the third derivative of -6*t**6 - 6*t**6 + 6*t**z - f*t**2 wrt t.
-720*t**3
What is the derivative of -110 + 9 - 8 - 43 - 3*k - 2 wrt k?
-3
What is the first derivative of 32*f - 29 + 39 - 84*f + 60 - 150*f wrt f?
-202
Let s = 82 - 73. Find the first derivative of -1 - 2 - 41*j**3 + s + 13 wrt j.
-123*j**2
Let r(f) = f**2 + 7*f. Let o be r(-10). Let t be -5*-4*3/o. Find the third derivative of -10*l**3 + 4*l**t - 171 + 171 wrt l.
-60
Let a(j) be the first derivative of 752*j**3/3 - 3*j**2/2 - 237*j + 550. What is the second derivative of a(w) wrt w?
1504
Let j(t) be the first derivative of t**7/105 - t**5/10 + 4*t**3/3 + 9. Let a(s) be the third derivative of j(s). Find the second derivative of a(n) wrt n.
48*n
Let u(s) = s**2 - 3*s. Let z be u(6). What is the third derivative of 2*c**3 + z*c**2 + 9*c - 9*c wrt c?
12
Let i(j) = j**3 + 8*j**2 + 8*j - 1. Let z be i(-7). Let s be (7 + z)/(1/(-6)). What is the third derivative of d**6 - 4*d**2 + 5*d**s + 0*d**2 + 0*d**2 wrt d?
720*d**3
What is the second derivative of -27*m**4 - 42*m**4 + 326 - 13*m - 326 wrt m?
-828*m**2
Let c(s) be the first derivative of 0*s + 13/2*s**6 + 0*s**4 + 21 + 0*s**5 + 0*s**2 + 10*s**3. What is the third derivative of c(k) wrt k?
2340*k**2
What is the derivative of -86 - 11*v + 17*v - 53 + 3*v**2 wrt v?
6*v + 6
Let w(r) be the first derivative of 5*r**4/2 - r**2 + 85*r + 10. What is the first derivative of w(s) wrt s?
30*s**2 - 2
Differentiate 120*u - 12 - 8 - 13 - 6*u with respect to u.
114
Let p(w) = -2*w**3 - 160*w + 1047. Let j(u) = u**3 - 5*u + 1. Let l(t) = 3*j(t) + p(t). What is the first derivative of l(g) wrt g?
3*g**2 - 175
Let g(l) = 23*l**4 + 4*l**2 - 12*l + 6. Let k(p) = p**2 - 2*p. Let v(n) = -g(n) + 6*k(n). Find the third derivative of v(u) wrt u.
-552*u
Let s = -2 + -5. Let y be ((-4)/(-10))/(s/(-35)). Differentiate -y*j + 2*j + j - 5 - 4*j with respect to j.
-3
What is the third derivative of -499*x**2 - 223*x**4 - 707*x**4 + 226*x**4 wrt x?
-16896*x
Let x = -56 + 61. Differentiate y - 2 + 5 - 3 + x with respect to y.
1
Suppose -30 = -7*x - 2. Let n(c) be the second derivative of 8*c + 0 + 0*c**5 + 0*c**3 - 1/4*c**x + 0*c**2 - 1/10*c**6. Find the third derivative of n(j) wrt j.
-72*j
Let q(y) be the second derivative of -7/3*y**4 + 0*y**6 + 0*y**2 + 0*y**3 + 2*y - 11/56*y**8 + 0 + 0*y**7 + 0*y**5. What is the third derivative of q(p) wrt p?
-1320*p**3
Suppose -130 + 145 = 3*a. Suppose h + 2*h - 9 = 0. Find the third derivative of 0*l**2 - 4*l**3 + a*l**2 + 0*l**3 - l**h wrt l.
-30
Find the third derivative of 54*y**2 + 83*y**6 - 45*y**2 + 100*y**2 + 86*y**2 wrt y.
9960*y**3
Let u(c) be the first derivative of c**8/28 + 23*c**4/24 + 9*c**2 + 10. Let d(q) be the second derivative of u(q). What is the second derivative of d(w) wrt w?
240*w**3
Let f(d) be the second derivative of 9*d**6/2 - 125*d**4/12 + 506*d. What is the third derivative of f(n) wrt n?
3240*n
Let x(t) be the first derivative of -21*t**2 + 2*t - 92. Find the first derivative of x(a) wrt a.
-42
Let h(m) be the first derivative of 310*m**3/3 + m**2 + 8*m + 1. What is the second derivative of h(w) wrt w?
620
Let g(q) be the first derivative of -2*q**3 + 0*q + 15/4*q**4 - 4 + 0*q**2. Find the third derivative of g(k) wrt k.
90
Differentiate -9*x**2 + 362 - x - 108 - 9*x**2 + 0*x + 17*x**2 with respect to x.
-2*x - 1
Let y(i) be the first derivative of -113*i**4/4 - i**2/2 - 69*i - 53. Find the second derivative of y(x) wrt x.
-678*x
Let y(z) be the second derivative of z**3/6 + 9*z**2/2 + 5*z. Let r be y(-6). Find the second derivative of t**4 - 2*t - 2*t**3 + 2*t**3 + 0*t**r wrt t.
12*t**2
Let w(s) be the second derivative of 41*s**4/3 - 13*s**2 - 4*s + 50. Differentiate w(o) wrt o.
328*o
Let m(g) = -279*g**3 + 2*g**2 - 64*g. Let j(z) = -2*z**3 - z**2. Let o(u) = -5*j(u) - m(u). What is the third derivative of o(k) wrt k?
1734
Let d(k) be the third derivative of -5/24*k**4 - 11/60*k**5 + 0 + 5*k**2 + 0*k**3 + 0*k. What is the second derivative of d(t) wrt t?
-22
What is the second derivative of -235834 + 235808 + 4*q**2 + 18*q + 680*q**3 - 4*q**2 wrt q?
4080*q
Find the second derivative of -352*y - 4*y**4 + 4*y**4 + 681*y - 257*y**5 wrt y.
-5140*y**3
Let m = -6 - -13. Suppose 1 = 4*k - m. What is the second derivative of j - 2*j**4 + j - k*j**4 wrt j?
-48*j**2
What is the second derivative of 28*m**3 - 2*m**4 + m + 5*m**3 - 50 + 13*m**3 - 66*m**3 wrt m?
-24*m**2 - 120*m
What is the second derivative of -1 + 3 + 184*q**4 + 14*q - 143*q**4 wrt q?
492*q**2
Suppose -2*r = 2*a - 12, 4*r - 12 = 2*a - 0*r. Suppose h + a - 5 = 0. What is the derivative of 102*w**3 + 6*w**4 - 102*w**h + 1 wrt w?
24*w**3
Let p(r) be the first derivative of 123*r**2 - 80*r - 301. What is the derivative of p(i) wrt i?
246
Let q(z) = 3*z**3 - 5*z**2 - 38. Let x(p) = -3*p**3 + 4*p**2 + 39. Let t(g) = -4*q(g) - 5*x(g). Differentiate t(j) with respect to j.
9*j**2
Let r(x) = 2*x**2 + 6*x + 17. Let d be r(-5). Find the third derivative of 37*q**3 - d*q**3 - 2*q**4 - 9*q**2 wrt q.
-48*q
Let s be (6/(-4))/((-2)/4). Suppose -v + 1 + 0 = 4*t, -2*t + 2*v + 8 = 0. What is the derivative of -1 + 10*z**3 - 6*z**3 - t + 4*z**s wrt z?
24*z**2
Suppose 14*j - 10*j - 32 = 0. Let z be (-2 - 2)*(-12)/j. Find the third derivative of -q**2 + 6*q**2 - q**2 - 