- 195. Let p(t) = 298*t**4 - 14*t**2 + 7*t - 586. Let j(v) = -14*m(v) + 4*p(v). Differentiate j(n) wrt n.
-832*n**3
Let p be 6/(-24) - (-1)/4. Suppose p*s + 20 = 4*s. Find the first derivative of -2*r + 0*r**4 + 2*r - s - 5*r**4 wrt r.
-20*r**3
Let o(d) be the first derivative of 253*d**2/2 + 261*d + 169. What is the derivative of o(p) wrt p?
253
Suppose -5*x = -10*x + 5. Let t be 1/(4/12*x). What is the third derivative of i**2 - 45*i**t + 46*i**3 - 5*i**2 wrt i?
6
Let f be 56/(-14) + (5 - 1). Let u(j) = -2 + 5*j + 4*j + 7 + f. Let z(x) = 8*x + 6. Let w(n) = 3*u(n) - 4*z(n). Find the first derivative of w(l) wrt l.
-5
Find the first derivative of -14 - 9*p**2 - p**2 + 81*p**2 - 36 wrt p.
142*p
Let v(h) be the second derivative of 0*h**2 - 10/3*h**3 + 0 - 7/6*h**4 + 8*h. What is the second derivative of v(p) wrt p?
-28
Suppose 5*u = -2*h + 15, 0*h = 2*h + 4*u - 14. Differentiate -h - 8*g - 11 - 4 + 1 with respect to g.
-8
Find the third derivative of -2 + 2 - 55*d**3 + 221*d**3 - 145*d**2 wrt d.
996
What is the second derivative of 3 - 12*h**3 + 10 - 8*h - 29170*h**4 + 29171*h**4 wrt h?
12*h**2 - 72*h
Find the second derivative of 393*w**3 - 395*w**3 + 7*w**2 - 29*w - 33*w**2 wrt w.
-12*w - 52
Let q(t) = -17*t**4 + 6*t**2 + 5*t + 107. Let y(r) = -35*r**4 + 13*r**2 + 11*r + 215. Let w(m) = -13*q(m) + 6*y(m). Differentiate w(x) with respect to x.
44*x**3 + 1
Let w(z) be the second derivative of 3*z**8/56 - 10*z**7/21 + z**4 - z**2/2 + 2*z - 68. Find the third derivative of w(l) wrt l.
360*l**3 - 1200*l**2
Let r(p) be the second derivative of -7*p**8/2 + 37*p**4/12 - 10*p + 1. Find the third derivative of r(l) wrt l.
-23520*l**3
What is the derivative of -164 + 31*d**3 + 100 - 269*d**4 - 56*d**3 + 25*d**3 wrt d?
-1076*d**3
Suppose -4*w - 5*z = -6 - 33, 4*w - 5*z = 9. What is the second derivative of -w*j - 8*j + 11*j**3 - 4*j**3 wrt j?
42*j
Let y(g) be the first derivative of 133*g**3/3 - 31*g**2 - 124. What is the second derivative of y(f) wrt f?
266
Let n(q) = -214*q**4 + 4*q**2 + 7*q - 4. Let x(g) = g**4 + g**2 + 5. Let k(y) = n(y) - 4*x(y). Find the second derivative of k(j) wrt j.
-2616*j**2
Suppose 57 + 48 = 21*h. Let p(g) be the first derivative of 0*g + h - 7/3*g**3 - 4*g**2. Find the second derivative of p(n) wrt n.
-14
Let r(v) be the first derivative of 7*v**3/3 + v**2/2 + 4. Let b be r(-1). What is the third derivative of -6*k - 9*k**b + 6*k - k**2 wrt k?
-1080*k**3
Let z(s) be the first derivative of 0*s**4 + 16 + 0*s**6 + 0*s**5 + 0*s - 20/3*s**3 + 0*s**2 + s**7. What is the third derivative of z(x) wrt x?
840*x**3
What is the first derivative of -458 - 9*n**2 + 120*n**2 + 48*n**2 wrt n?
318*n
Let c(v) be the second derivative of 31*v**3/2 - 137*v**2/2 + v - 37. Differentiate c(b) wrt b.
93
Let v(t) be the first derivative of -7*t**4/4 + 4*t**3/3 - 4*t**2 + 5*t + 55. What is the second derivative of v(x) wrt x?
-42*x + 8
Let y(n) be the third derivative of n**8/84 - n**5/20 - 13*n**4/8 - 8*n**2 + 5*n. Find the second derivative of y(s) wrt s.
80*s**3 - 6
Suppose 0 = 4*m + 2*q - 38 - 76, 0 = -5*q + 15. Let j be 2*(3 - (-10)/(-10)). Find the second derivative of m*v**2 + j*v - 27*v**2 - 8*v**3 wrt v.
-48*v
What is the derivative of -320*w**4 + 2299*w**3 + 325 - 2299*w**3 wrt w?
-1280*w**3
Let j(y) = -4*y**3 - 2*y**2 - 10*y + 106. Let w(p) = -16*p**3 - 9*p**2 - 39*p + 423. Let g(q) = -9*j(q) + 2*w(q). Differentiate g(h) wrt h.
12*h**2 + 12
Let t(q) = -8*q**4 + 8*q - 3*q + 12*q**2 + 5 - 6*q**4. Let f(w) = w**2 + w + 1. Let a(m) = 5*f(m) - t(m). Find the third derivative of a(c) wrt c.
336*c
Let y be (14/21)/((-2)/(-6)). Suppose -6 = -3*a + s, a - 2 = -0*a - y*s. What is the third derivative of -13*t**2 + 7*t**a - 4*t**3 + 2*t**3 - 2*t**3 wrt t?
-24
Let c(g) be the third derivative of 2*g**7/15 - g**5/30 + 7*g**4/3 - 2*g**2 + 32*g. What is the second derivative of c(a) wrt a?
336*a**2 - 4
Let y(h) = h**3 - 16*h**2 - h + 6. Let i be y(16). Let t be (8/(-10))/(4/i). Find the third derivative of -2*k**2 - 5*k**3 + 2*k**3 + 0*k**t wrt k.
-18
Let z be (0 + (-2)/4)*-6. Let o = 5 - z. What is the third derivative of 4*w**6 - 4*w**o + 8*w**5 - 2*w**2 - 8*w**5 wrt w?
480*w**3
Let x be (-2)/(-8) + (-35)/(-20). What is the derivative of -9 - 75*l + 2*l**x + 75*l wrt l?
4*l
Let w be (1 - 3) + 1*4. Find the third derivative of -w*a**2 - 6*a**2 - 26*a**4 - 5*a**2 + 21*a**2 wrt a.
-624*a
What is the derivative of -854*q - 236 - 68 + 85 - 78 wrt q?
-854
Let y(c) be the first derivative of 7/2*c**4 + 10*c + 5 + 0*c**3 + 0*c**2. Find the first derivative of y(s) wrt s.
42*s**2
Let p(n) be the first derivative of -86*n**3/3 - 45*n**2 + 30. What is the second derivative of p(c) wrt c?
-172
Let r(w) be the third derivative of 0*w**6 + 0*w - 5*w**2 + 0 + 0*w**4 + 0*w**3 + 1/12*w**5 - 1/21*w**8 + 0*w**7. What is the third derivative of r(d) wrt d?
-960*d**2
Let g(x) = 56*x**2 + 86*x + 12. Let c(i) = 56*i**2 + 85*i + 10. Let n(s) = 6*c(s) - 5*g(s). Find the second derivative of n(r) wrt r.
112
Let h(c) be the second derivative of 0 + 0*c**4 - 34*c + 0*c**2 - 9/10*c**6 - 13/3*c**3 + 0*c**5. What is the second derivative of h(g) wrt g?
-324*g**2
Let g(u) = 3*u - 13. Let z be g(6). Suppose z*j = 3*q - 76, 2*j + 19 = 2*q + 5*j. Find the second derivative of -x**2 - 15*x - 9*x + q*x wrt x.
-2
What is the third derivative of 366*d**2 + 6714*d**6 + 2*d**5 - 56*d**2 - 6682*d**6 wrt d?
3840*d**3 + 120*d**2
What is the second derivative of 1 + 10565*b**2 + 134*b + 1 - 10556*b**2 wrt b?
18
Suppose -4*b - h = -3, 5*h = 2*b + h + 12. Let i = 2 + -1. What is the first derivative of j + b*j - j - i - 6*j wrt j?
-6
What is the first derivative of 24 + 79 + 13*y**3 - 29*y**3 + 347*y + 15*y**3 + 88 wrt y?
-3*y**2 + 347
What is the second derivative of 41 - 18*k + 17*k**3 - 38 + 78*k**3 wrt k?
570*k
Differentiate 18*t**2 - 99 - 14647*t**4 + 36*t**2 + 14649*t**4 with respect to t.
8*t**3 + 108*t
Let h(c) = c**3 + 5*c**2 + c + 5. Let o be h(-5). Suppose o = -2*d + 3*d. Find the third derivative of -4*j**3 + 7*j**3 + d*j - j**2 + 0*j wrt j.
18
Let j(n) be the third derivative of 0*n**6 + 0*n**4 - 1/5*n**5 + 0 - 18*n**2 - 13/210*n**7 + 0*n**3 + 0*n. Find the third derivative of j(t) wrt t.
-312*t
Find the third derivative of 72 + 236*i**3 - 6*i**2 + 69 - 141 - i**2 wrt i.
1416
Let h(y) be the first derivative of 911*y**5/5 - 475*y**2/2 + y - 680. Find the second derivative of h(u) wrt u.
10932*u**2
Let w(u) be the second derivative of -17*u**7/14 - u**6/15 - 5*u**4/12 - u**3 + 57*u. What is the third derivative of w(f) wrt f?
-3060*f**2 - 48*f
Let u(s) = -179*s + 18. Let a(q) = -60*q + 7. Let x(n) = -7*a(n) + 2*u(n). What is the first derivative of x(w) wrt w?
62
Let l(f) be the first derivative of 0*f**3 + 36*f - 32 - 33/4*f**4 + 0*f**2. Differentiate l(w) wrt w.
-99*w**2
Let v = -14 - -26. Find the second derivative of -15*d**2 - 8*d**2 + 4*d + v*d**2 wrt d.
-22
Let f(r) be the first derivative of 3*r**5/5 - r**3/3 + 54*r + 2. Find the third derivative of f(h) wrt h.
72*h
Let g be (-5)/2*(-8)/1200. Let o(z) be the third derivative of -g*z**5 + 1/6*z**4 - 4*z**2 + 0 + 0*z + 0*z**3. What is the second derivative of o(l) wrt l?
-2
Let k(q) = -q - 12. Let l be k(-6). Let d = l + 12. What is the first derivative of 3*f**3 - 5*f**3 - f**3 + d - 1 wrt f?
-9*f**2
Let x(i) = -114*i**2 + 46*i + 6. Let s(z) = 59*z**2 - 23*z - 3. Let v(a) = 13*s(a) + 6*x(a). Find the second derivative of v(f) wrt f.
166
Find the third derivative of -62*q**2 - 16*q**2 - 117*q**2 - 128*q**2 - 271*q**2 + 485*q**3 wrt q.
2910
Let w(y) be the first derivative of -16/3*y**3 + 13*y**2 - 29 + 0*y. Find the second derivative of w(k) wrt k.
-32
Find the third derivative of 70*x**2 + 1608*x**3 + 2*x - 3*x - 1568*x**3 - 2*x**6 + x wrt x.
-240*x**3 + 240
Let n(o) be the second derivative of 0 - 13/20*o**5 - 9*o - 2/3*o**4 + 0*o**3 + 0*o**2. Find the third derivative of n(y) wrt y.
-78
What is the second derivative of 132 - u + 3*u**3 - 7*u**4 + 4 + 121 wrt u?
-84*u**2 + 18*u
What is the derivative of 210*p**4 - 264 + 0*p - 48*p**4 + 63 + 0*p wrt p?
648*p**3
Suppose 0 = -13*h + 22*h - 270. Differentiate 6 - h*k - 28 + 18 + 17 wrt k.
-30
Let y(q) = -10*q**2 - 2*q + 116. Let k(m) = -30*m**2 - 6*m + 348. Let n(j) = 6*k(j)