f) wrt f?
-210
What is the second derivative of -187*p**4 + 367*p**4 - 183*p**4 + p**3 + 365*p wrt p?
-36*p**2 + 6*p
Suppose -3 = -2*i + 1. Suppose 0 = -2*o + 4, 3*c + 0*o - 5*o = i. What is the first derivative of 4*w**4 - 2*w**4 + 3 - 6 + 0*w**c wrt w?
8*w**3
Find the first derivative of -168*a**4 + 507*a**4 + 154*a**4 + 190 wrt a.
1972*a**3
Let r(f) = -f**4 + f**3 + f - 1. Let a(j) = 2*j**3 + 31 + 2*j**3 + 13*j**4 + 4*j - 33. Let z(b) = a(b) - 4*r(b). Differentiate z(v) wrt v.
68*v**3
What is the second derivative of 2*i**3 + 92*i**3 + 24196*i - 24771*i + 71*i**3 wrt i?
990*i
Suppose -2*a = -2*y - 8, 7*a = 3*a - 4*y. What is the third derivative of -8*p**a - 25*p**2 + 6*p**3 + 6*p**2 wrt p?
36
Let i(x) be the first derivative of -20*x**3/3 + 115*x + 207. What is the first derivative of i(c) wrt c?
-40*c
Let x(r) = -3*r**4 - r**3 + 29*r**2 - 86*r - 1. Let g(k) = k**3 - 2*k**2 - 2*k + 1. Let w(n) = -g(n) - x(n). What is the second derivative of w(q) wrt q?
36*q**2 - 54
Let b be 1 - 2*2 - (-10879)/3036. Let a(o) be the second derivative of 0 + 0*o**2 + 10*o - 1/6*o**3 - b*o**4. What is the second derivative of a(x) wrt x?
-14
Differentiate -174 + 1381*n**4 + 1516*n**4 - 3445*n**4 - 328 + 2*n**3 wrt n.
-2192*n**3 + 6*n**2
Let o(r) be the first derivative of 153*r**2 + 355*r + 713. Differentiate o(l) wrt l.
306
What is the second derivative of 2 - 569*r**2 + 3*r + 249*r**2 + 198*r**2 + 244*r**2 wrt r?
244
Let i(l) be the first derivative of -2*l**4 - l**2 + 69*l + 30. Differentiate i(c) with respect to c.
-24*c**2 - 2
Suppose -3*p + 3*k + 22 = 4, -3*k = 3*p - 12. Find the second derivative of -2*y**3 + 4*y + 4*y**2 - 4*y**2 + p*y**3 wrt y.
18*y
Let j = -40 + 38. Let s(g) = -17*g**3 + 15*g + 2. Let y(q) = 17*q**3 - 14*q - 3. Let v(d) = j*y(d) - 3*s(d). What is the second derivative of v(f) wrt f?
102*f
Let t(k) = -k**3. Let c be t(0). Differentiate 9 - 18*f**2 + 19 + c wrt f.
-36*f
Let c(b) be the third derivative of -2*b**7/21 - b**6/30 + b**5/60 + 25*b**3/6 - 71*b**2 - 2. What is the third derivative of c(q) wrt q?
-480*q - 24
Let v(r) = -81*r**5 + 58*r**2. Let k(q) = q**5 - q**2. Let c(s) = 4*k(s) - v(s). Find the third derivative of c(b) wrt b.
5100*b**2
Suppose -4*g + 12 = -g. Suppose 0 = -4*y - p + g, 0 = y - 5*p - 27 + 5. Find the third derivative of -3*j**5 + 8*j**5 + 5*j**y + 9*j**2 - 17*j**2 wrt j.
300*j**2
Let o be (-6*(-5)/(-5) + 5)*-4. Let u(a) be the second derivative of -3*a**2 + 6*a + 3/20*a**5 + 0*a**3 + 0*a**o + 0. What is the derivative of u(l) wrt l?
9*l**2
Suppose 28 = -w + 25. Let v = -2 - w. Find the first derivative of 0*y + 5*y**2 + y + v - y wrt y.
10*y
Let y(r) be the second derivative of -164*r**3/3 - 645*r**2/2 - 377*r. Find the first derivative of y(z) wrt z.
-328
Let w(l) = 105*l**5 - 2*l**4 - 27*l + 1. Let u(s) = s**4 + 1. Let i(c) = -2*u(c) - w(c). Find the second derivative of i(j) wrt j.
-2100*j**3
Find the second derivative of 7*t + 5 + 1501*t**3 - 498*t**3 - 517*t**3 - 4*t**4 - 509*t**3 wrt t.
-48*t**2 - 138*t
Let u(b) = 2*b**2 + 8*b + 58. Let w(z) = -2*z**2 - 9*z - 56. Let q(i) = -5*u(i) - 6*w(i). What is the first derivative of q(h) wrt h?
4*h + 14
Let v(d) be the third derivative of -2/3*d**3 + 16*d**2 + 3/4*d**4 + 0 + 0*d. Differentiate v(x) with respect to x.
18
Let r(h) be the second derivative of -9/2*h**2 + 3*h + 0*h**3 + 0 + 0*h**5 - 19/15*h**6 + 0*h**4. Differentiate r(g) with respect to g.
-152*g**3
Suppose -4*s + 9*s - 2*n = 78, n = -4*s + 65. What is the third derivative of 8*p**2 + 21*p**3 - 40*p**3 + s*p**2 wrt p?
-114
Let a = -41 + 43. Find the second derivative of -10*c**5 + 75*c**2 - 75*c**a + 11*c wrt c.
-200*c**3
Let j(q) = q - 3. Suppose 2*l + 5*k + 16 - 5 = 0, -5*l + 4*k + 55 = 0. Let p be j(l). Find the third derivative of 10*v**6 + 0*v**2 - p*v**6 + 3*v**2 wrt v.
720*v**3
Let m(z) be the third derivative of -18*z**2 + 0*z - 1/12*z**5 + 0*z**4 + 0*z**3 + 3/20*z**6 + 0. Find the third derivative of m(w) wrt w.
108
Let s(m) be the first derivative of m**5/3 + m**4/8 + 5*m**3/3 - 15. Let v(h) be the third derivative of s(h). What is the first derivative of v(w) wrt w?
40
Suppose -2*u = -3*z - 4, -u + 5*u - 4*z = 0. Let c be 33/6 + 6/u. Find the third derivative of 7*w**4 - 19*w**c + 5*w**4 - 4*w**2 wrt w.
-168*w
Let b(a) be the third derivative of 217*a**4/24 + 212*a**3/3 + 386*a**2. Find the first derivative of b(g) wrt g.
217
Let d(i) = -140*i**4 + 6*i**2 + 6*i + 56. Let s(c) = 139*c**4 - 5*c**2 - 5*c - 56. Let o(v) = -5*d(v) - 6*s(v). Differentiate o(n) with respect to n.
-536*n**3
Suppose -l = -5*w + 10 + 40, 2*w = 3*l + 7. Find the first derivative of 36*c - 36*c - w*c**2 - 12 wrt c.
-22*c
Let w = 0 + 2. Let u(g) = 3*g - 3. Let d be u(w). Differentiate -2*q**4 + 8 - 13*q**d + 13*q**3 wrt q.
-8*q**3
Let x(t) be the first derivative of 0*t**4 - 9 + 0*t + 0*t**5 + 1/6*t**6 + 8*t**2 + 0*t**3. What is the second derivative of x(k) wrt k?
20*k**3
What is the third derivative of -29*r**2 - 175*r**3 - 16*r**2 - 98 + 97 wrt r?
-1050
What is the derivative of 242*z**3 - 270 + 23*z**3 - 76 + 34*z**3 wrt z?
897*z**2
Let b(n) be the first derivative of 115*n**4/4 + n**3/3 - 164*n**2 - n + 472. What is the second derivative of b(f) wrt f?
690*f + 2
Let s(d) be the first derivative of -3*d**7/7 + d**4/6 - 13*d - 4. Let r(t) be the first derivative of s(t). What is the third derivative of r(c) wrt c?
-1080*c**2
Let x(w) be the third derivative of -w**8/336 - w**6/360 - w**3 - w**2. Let d(j) be the first derivative of x(j). What is the third derivative of d(n) wrt n?
-120*n
Find the second derivative of 66*u - 31*u**4 + 4 - 4*u**2 - 119*u**3 + 59*u**3 - 54*u**4 + 60*u**3 wrt u.
-1020*u**2 - 8
Let l = 20 - 17. Let t be l/9 - 25/(-15). Find the first derivative of -5*y**2 - 7*y**t + 9*y**2 - 3 - 2 wrt y.
-6*y
Let o(g) be the third derivative of -17*g**7/105 - g**6/60 - 77*g**5/15 + 2*g**2 - 406. Find the third derivative of o(i) wrt i.
-816*i - 12
Let l(n) = -50*n + 80. Let z(q) = 51*q - 78. Let m(v) = 5*l(v) + 6*z(v). What is the first derivative of m(j) wrt j?
56
Let q(s) be the first derivative of 13*s**4/24 + 7*s**3/2 - 43*s**2/2 - 24. Let r(d) be the second derivative of q(d). What is the derivative of r(l) wrt l?
13
Let m(t) be the third derivative of 235*t**9/504 + t**7/210 + 9*t**5 + 691*t**2. Find the third derivative of m(l) wrt l.
28200*l**3 + 24*l
Let l be ((-33)/(-6))/(4/(-8)). Let m(t) = -t**2 - 12*t + 6. Let p be m(l). Find the first derivative of -6 - p*k + 15*k + 11*k wrt k.
9
Let s(q) = -5 - q - 7 + 4*q. Let p(r) be the second derivative of -r**3/3 + 13*r**2/2 - 13*r. Let f(h) = -3*p(h) - 4*s(h). Differentiate f(b) with respect to b.
-6
Let s = -33 - -28. Let w be s*(4 - 92/20). Find the third derivative of 27*b**2 - 26*b**2 + 2*b**w - b**3 wrt b.
6
Let l(i) be the second derivative of 0*i**5 + 7/3*i**3 + 0*i**4 + 7*i + 0 + 17/30*i**6 + 0*i**2. What is the second derivative of l(j) wrt j?
204*j**2
Differentiate 443*d**4 + 132 + 115 - 4 wrt d.
1772*d**3
Let a(g) be the second derivative of -g**7/42 + g**6/2 + 125*g**3/6 - 10*g + 2. Find the second derivative of a(x) wrt x.
-20*x**3 + 180*x**2
Suppose -l + 12243 = 6*l. What is the second derivative of -20*d + 1749 + 17*d**2 - l wrt d?
34
Let l(j) = j**3 + 11*j**2 + 11*j + 14. Let b(i) = i**2 + 8*i - 3. Let f be b(-7). Let m be l(f). What is the derivative of -2 - 4*a - m - 4 + 4 wrt a?
-4
Let b(g) = -3*g**5 + g**2 - 2. Let q(w) = 4*w**5 - 2*w**2 + 3. Suppose 0 = -2*u - 0*u + 6. Let t(n) = u*b(n) + 2*q(n). Find the third derivative of t(v) wrt v.
-60*v**2
What is the derivative of -278*h**3 - 277*h**3 - 24 + 557*h**3 + h**4 wrt h?
4*h**3 + 6*h**2
Let y(f) = f - 8. Let x be y(10). Suppose 13 = i - 0*o + x*o, -2*i - o = -11. Differentiate 5*t**3 - 3*t**3 + 5 + 6*t**3 - 2*t**i with respect to t.
18*t**2
What is the derivative of -5*i**3 - 4133*i + 157 + 4179*i + 2*i**3 wrt i?
-9*i**2 + 46
Let z(r) be the first derivative of -40*r**4 + 7*r**2/2 - 7*r - 48. Find the second derivative of z(a) wrt a.
-960*a
Let y(o) be the second derivative of 7*o**6/30 + o**3/6 + 27*o**2/2 - 129*o. What is the derivative of y(g) wrt g?
28*g**3 + 1
Let n = -17 - -23. Let p = 8 + n. What is the third derivative of a**2 - 2*a**3 - 9*a**2 - 2*a**3 + p*a**2 wrt 