f**5 + 6*f**5 wrt f.
-60*f**2
Let r(y) = -y**2 + 3*y - 4. Let w be r(4). Let u = w - -10. Find the second derivative of -u*j + 2*j**4 + 10 + 0*j**4 - 10 wrt j.
24*j**2
Let m(n) = -12 - 16 + 8*n + 4*n + 6*n. Let s(a) = -9*a + 14. Let c(q) = -2*m(q) - 5*s(q). Differentiate c(w) with respect to w.
9
Let j(z) be the third derivative of 19*z**6/30 + 3*z**5/10 + z**2 + 4*z. Find the third derivative of j(k) wrt k.
456
Let p(y) be the second derivative of 3*y**6/10 - 3*y**5/20 - y**4/2 - 4*y**2 + 94*y. Find the third derivative of p(n) wrt n.
216*n - 18
Let n(h) = h**3 + 5*h**2 + 3*h + 1. Let r be n(-4). Suppose 5*t = -r, 4*v - 2*t - t - 7 = 0. What is the first derivative of -4*z + z - v - 5 wrt z?
-3
Let g(c) be the first derivative of -c**7/7 - 91*c**4/4 - 119*c**3/3 + 339. What is the third derivative of g(m) wrt m?
-120*m**3 - 546
Suppose -z - i = -37, 5*i = 3*z - 73 - 78. Find the second derivative of 22*o**2 + 13*o + 24*o**2 + z*o wrt o.
92
Suppose 2*v + 1 = -h + 3, 4*h = -v + 1. Let t be (2/(-2))/(v/(-2)). What is the third derivative of z**2 - 8*z**6 + 3*z**t + 3*z**2 - 6*z**2 wrt z?
-960*z**3
Let g = 11 - 5. Let m(f) = f - 3. Let a be m(g). What is the derivative of -1 + 0 + 4*y**a + 4 wrt y?
12*y**2
Let h be (12/9)/2*(-72)/(-8). Differentiate -h - 11*q - 21 - 4 with respect to q.
-11
Let m(f) be the first derivative of -23*f**3 - 3*f**2/2 - 104*f - 526. What is the derivative of m(r) wrt r?
-138*r - 3
Let c be 6/8*48/2. Let i be (c/4)/(33/22). What is the first derivative of -2*g**3 - 9*g**4 - 8 - 6*g**i + 8*g**3 wrt g?
-36*g**3
Suppose 10*o + 12 = 13*o. Find the first derivative of 18 - 4 - o*a - 28 wrt a.
-4
Let q = -6 + 8. Let c(k) be the first derivative of -12*k + 2 - k**q + k**2 + 2*k**3 + 18*k. Find the first derivative of c(m) wrt m.
12*m
Let x be 7/(-4)*294/(-343). Let u(d) be the third derivative of 1/6*d**4 + 0 - 9*d**2 + 0*d + x*d**3. What is the first derivative of u(j) wrt j?
4
Let l = -143 - -146. Find the third derivative of -737*s**3 - 41*s**4 + 737*s**l + 46*s**2 wrt s.
-984*s
Let d(h) = h**3 + 2*h**2 + 4. Let k be d(-2). Find the second derivative of 4*g**4 + 5*g**k - 36*g + 57*g wrt g.
108*g**2
Let j(l) = l**4 - 1. Let f be ((-12)/21)/((-2)/7). Let g = f - 3. Let o(i) = -5*i**4. Let a(h) = g*o(h) - 6*j(h). Find the first derivative of a(v) wrt v.
-4*v**3
What is the second derivative of 6066 - 6066 + 54*g**2 - 262*g wrt g?
108
Let i(n) = -n**2 - 19*n - 16. Let k be i(-18). What is the third derivative of 10*w**k - 51*w**5 + 57*w**5 + 30*w**5 + 9*w**2 wrt w?
2160*w**2
Suppose 4*r - 3*r - 13 = 2*u, -r + u = -12. Let f = -9 + r. What is the first derivative of -f*c**3 - 3*c**3 - 3 + 1 wrt c?
-15*c**2
Find the third derivative of 6*l**6 - 1017 - 3*l**2 + 1017 - 13*l - 26*l**6 wrt l.
-2400*l**3
Suppose 3*l + 3*u + 2*u + 21 = 0, -l + 2*u + 4 = 0. Let t be l - 0 - (-17 + 2). What is the second derivative of 2*w + 12*w**3 + t*w**3 - 21*w**3 wrt w?
24*w
Find the second derivative of -149 - 95*f**3 - 4*f + 5*f + 150 wrt f.
-570*f
Let n(u) be the second derivative of 39*u**3/2 - 71*u**2/2 - 20*u. What is the first derivative of n(x) wrt x?
117
What is the second derivative of 1211*v**3 - 3 + 1214*v**3 - 2423*v**3 - 27*v + 53*v**2 wrt v?
12*v + 106
Suppose -18*o - 3 = -19*o. Find the third derivative of 22*p**2 + 4*p**o + 5*p**3 + 2*p**6 + 4*p**3 + 6*p**2 wrt p.
240*p**3 + 78
Suppose -7 = p - 9. Suppose -8 = -p*h - 0*h. Find the first derivative of -2*f**h + 4*f**4 - 10 - 5*f**4 wrt f.
-12*f**3
Let d(r) = -2*r**2 - r + 6. Let y(m) be the first derivative of 5*m + 5 + m - 7*m. Let w(n) = d(n) + 6*y(n). What is the second derivative of w(o) wrt o?
-4
Let b(p) be the second derivative of 17*p**5/5 - p**4/12 + 9*p**3/2 - 5*p + 13. Find the third derivative of b(y) wrt y.
408
Let h = 20 - 16. Let q = h + 5. Find the third derivative of l - q*l**2 - 4*l**5 - l + 13*l**2 wrt l.
-240*l**2
Let s(r) be the third derivative of -17*r**6/60 + 7*r**5/15 - 41*r**2. Find the third derivative of s(z) wrt z.
-204
Let r(b) be the third derivative of -b**5/60 + 5*b**4/8 + 8*b**3/3 + 2*b**2. Let s be r(12). Find the second derivative of -3 + 3 + 51*o + 3*o**2 - s*o wrt o.
6
Let w(u) be the first derivative of -u**3/3 + u + 6. Let d(z) = -17*z**5 + 10*z**2 + 2. Let t(j) = -d(j) + 2*w(j). Find the third derivative of t(p) wrt p.
1020*p**2
Let q(c) be the first derivative of 0*c - 14*c**2 - 19 + 0*c**3 + 11/4*c**4. Find the second derivative of q(a) wrt a.
66*a
Let l(o) be the first derivative of -31 - 36*o + 11/4*o**4 + 0*o**2 + 0*o**3. Differentiate l(v) wrt v.
33*v**2
Let w(r) = -50*r**4 + 58*r**2 - r + 1. Let y(p) = -3*p**4 + p**3 - p**2 - p + 1. Let q(m) = -w(m) + y(m). Find the third derivative of q(j) wrt j.
1128*j + 6
Let a be ((-2)/(-6) - 1)*-12. Suppose 0 = -x - 3*x + a. Find the third derivative of 4*o**2 + 2*o**4 - o**2 - x*o**2 wrt o.
48*o
Let o(v) = 123*v - 31. Let i(k) be the first derivative of 61*k**2/2 - 16*k + 28. Let a(m) = -9*i(m) + 4*o(m). Find the first derivative of a(x) wrt x.
-57
Let x be (16/(-9) - -2)/(30/180). Let j(z) be the first derivative of z**2 + 0*z + x*z**3 + 2. Find the second derivative of j(s) wrt s.
8
Let w(c) be the first derivative of c**7/60 + 11*c**5/60 - 6*c**3 - 21. Let q(v) be the third derivative of w(v). What is the second derivative of q(p) wrt p?
84*p
Let p(u) = 39*u**4 + 4*u**3 + 4*u**2 - 145. Let z(t) = 76*t**4 + 7*t**3 + 7*t**2 - 289. Let j(a) = 7*p(a) - 4*z(a). Find the first derivative of j(f) wrt f.
-124*f**3
Find the third derivative of 4*x**2 - 3*x**6 + 11*x**6 + 12*x**6 - 6*x**6 wrt x.
1680*x**3
Let t(a) be the second derivative of 0 + 0*a**2 + 5*a + 11/6*a**3 - 7/6*a**4. Find the second derivative of t(y) wrt y.
-28
Find the third derivative of -16*s**5 - 129*s**3 + 9*s**4 - 464*s**2 + 39*s**2 + 129*s**3 wrt s.
-960*s**2 + 216*s
Suppose 0*s - s + 20 = 0. What is the second derivative of -s*z - 196*z**4 + 224*z**4 - 15*z wrt z?
336*z**2
Let l be 0 - (-2 + -2) - (-1038)/6. What is the second derivative of -l*a**2 - 24*a**3 + 177*a**2 - 35*a wrt a?
-144*a
Let z = -98 - -103. What is the derivative of -18*f**2 - z - 10*f**2 + 13*f**2 wrt f?
-30*f
Let p(x) = -4161*x + 2160. Let z(n) = 320*n - 167. Let l(d) = 2*p(d) + 27*z(d). What is the first derivative of l(f) wrt f?
318
Suppose 4*n - 2*z + 1 - 11 = 0, 4*n - 28 = -4*z. Let a be (-1 + -27 + 3)*-1. What is the second derivative of -n*b + b**4 - a + 25 wrt b?
12*b**2
Find the first derivative of -61 + 3*x**3 - 2*x + 64*x**4 + 2*x - x**3 wrt x.
256*x**3 + 6*x**2
Let w(m) be the third derivative of 0 - 5/8*m**4 + 0*m + 0*m**5 + 0*m**7 + 0*m**6 + 0*m**3 - 1/42*m**8 + 7*m**2. What is the second derivative of w(n) wrt n?
-160*n**3
Suppose -6*i - 4 = -22. Find the second derivative of -3*u**4 + 12*u - 19*u**5 - 13*u + i*u**4 wrt u.
-380*u**3
Find the first derivative of -29*b**3 + 1091 - 263 + 4*b**4 + 46*b**3 + 0*b**4 - 3*b**4 wrt b.
4*b**3 + 51*b**2
Suppose i + 12 = 22. Differentiate -9 + 50*p**4 - i - 26*p + 26*p wrt p.
200*p**3
Let y(t) be the second derivative of -1/3*t**3 + 11*t + 0*t**2 + 0 + 19/20*t**5 + 0*t**4. What is the second derivative of y(k) wrt k?
114*k
What is the second derivative of 7*v - 128*v**3 + 26*v**2 - 60*v**2 - 4*v**4 + 2*v**4 - 13 + 34*v**2 wrt v?
-24*v**2 - 768*v
Let w(m) be the second derivative of -305*m**8/56 + m**7/21 - 15*m**4/2 + 577*m. What is the third derivative of w(h) wrt h?
-36600*h**3 + 120*h**2
Let g be -2*4/(-10)*-25. Let x be 36/15*g/(-6). What is the second derivative of -x*t + 4*t**2 + t**2 + 2*t wrt t?
10
Find the second derivative of -13*d**3 + 2*d**2 + 2*d**2 + 12*d**3 + 12*d + 5*d**2 wrt d.
-6*d + 18
Let v be (2/(-8)*2)/(4/(-16)). Differentiate 42*o**4 - 36*o**4 - v + 1 with respect to o.
24*o**3
Let f = -39 + 106. What is the derivative of 10 - 32*w + 33 - f wrt w?
-32
Let l(p) = p + 21. Let a be l(-8). Find the third derivative of -12*d**3 + a*d**2 + 26*d**3 - 11*d**3 wrt d.
18
Let v(h) = -h**2 + h - 2. Let p(n) = 298*n**2 + 71*n - 2. Let y(k) = p(k) - v(k). Find the second derivative of y(m) wrt m.
598
Let y(j) be the second derivative of -j**5/5 - 7*j**3/6 + 83*j**2/2 - 3*j - 9. Differentiate y(z) with respect to z.
-12*z**2 - 7
Let k(m) = -m**2 - 22*m - 37. Let w be k(-19). Find the second deriv