64*o**5 wrt o?
159600*o**2
Differentiate -46 + 114 + 60 + 303 + 547*d + 146 wrt d.
547
Let k(j) be the third derivative of j**5/30 - 3931*j**4/24 + 7484*j**3/3 + 270*j**2 + 4*j + 1. Differentiate k(c) with respect to c.
4*c - 3931
Let g(c) be the second derivative of -5*c**4/6 - c**3/3 - 95*c**2/2 + 2*c + 20. Let p(l) be the first derivative of g(l). What is the derivative of p(o) wrt o?
-20
Suppose 2*c + 3*v = -3*c + 21, -5*v - 5 = -5*c. Suppose 0 = 2*h - 5 - c. What is the third derivative of 4*t**h - 5*t**2 - 3*t**2 + 4*t**2 - 8*t**4 wrt t?
-96*t
Let u(q) = 9769*q**4 + 17*q**2 + 25*q - 120. Let h(v) = 1221*v**4 + 2*v**2 + 3*v - 15. Let d(n) = -17*h(n) + 2*u(n). Find the second derivative of d(a) wrt a.
-14628*a**2
Let b be (-11)/(-5) + ((-6)/(-10))/(-3). Find the second derivative of -4*f**b - 34*f + 24*f + 39*f - 126*f**2 wrt f.
-260
What is the third derivative of -103*o**2 - 2236*o**3 + 1092*o**2 - 2077*o**3 - 43*o**2 + 803*o**3 - 5 wrt o?
-21060
Find the second derivative of 7*k + 15*k - 1520*k**5 + 9*k + 200 - 5 - 39*k wrt k.
-30400*k**3
Let n(g) = 203*g**4 + 3*g**3 + 6*g - 193. Let k(v) = 409*v**4 + 5*v**3 + 10*v - 386. Let h(q) = -6*k(q) + 10*n(q). Differentiate h(t) wrt t.
-1696*t**3
Let h(i) = 2504*i**4 - 25*i - 3647. Let a(r) = -626*r**4 + 6*r + 911. Let x(v) = 25*a(v) + 6*h(v). Find the first derivative of x(b) wrt b.
-2504*b**3
Let w = -323 - -329. What is the third derivative of -87*o**6 - 7*o - 6*o**2 + 9*o**2 + o**w wrt o?
-10320*o**3
What is the second derivative of 3*d**5 + 74*d**3 + 5759*d + 45*d**3 + d**2 - 560*d**3 + 148*d**3 wrt d?
60*d**3 - 1758*d + 2
Differentiate 392*y**2 - 927*y + 1845*y + 692 - 920*y + 661*y**2 wrt y.
2106*y - 2
Let f(s) be the first derivative of 6*s**5/5 + 211*s**4/4 - 5*s**3/3 - 58*s**2 - 2*s + 2975. What is the third derivative of f(w) wrt w?
144*w + 1266
Let o(b) be the second derivative of 995*b**3/6 + 1893*b**2/2 - 605*b + 3. Differentiate o(r) with respect to r.
995
Suppose -4*c + 2*j = -28, -3*j + 1 + 2 = 3*c. Suppose 4*v = 3*i - 14, -c*i + 26 + 8 = 4*v. Differentiate -i + 5*a - 14*a - 5*a wrt a.
-14
Let g be (-6)/(-14)*(-23 + 30). Let y(d) be the third derivative of -7*d**2 + 0*d - 1/3*d**g - 13/24*d**4 + 0. Find the first derivative of y(q) wrt q.
-13
Let n(v) be the third derivative of -2*v**2 - 13/2*v**3 + 0 - 29/8*v**4 + 11*v. What is the first derivative of n(g) wrt g?
-87
Let o(r) be the first derivative of 103/3*r**3 + 0*r + 0*r**2 - 310 + 75/2*r**4. What is the third derivative of o(p) wrt p?
900
What is the second derivative of 16 + 12 + 855*w**5 - 7*w - 3097*w**4 + 3097*w**4 wrt w?
17100*w**3
Let p(g) be the second derivative of 24*g**6/5 + g**5/5 + 147*g**2/2 - 727*g. Find the first derivative of p(z) wrt z.
576*z**3 + 12*z**2
Let n(y) be the third derivative of -y**6/24 - 77*y**5/30 + 4585*y**4/24 - 7*y**2 - 8*y. Find the second derivative of n(q) wrt q.
-30*q - 308
Let u(t) = -t**2 + 7*t - 6. Let c be u(5). Let o(k) be the first derivative of 6 + c*k**4 + 24*k + 5*k**5 - 4*k**4. What is the derivative of o(r) wrt r?
100*r**3
Let p(j) be the second derivative of 0 + 0*j**3 + 0*j**4 - 86*j + 75/2*j**2 - 19/20*j**5. What is the first derivative of p(t) wrt t?
-57*t**2
Let v = -3 - -5. Suppose 5*n - 19 + 4 = -3*o, 0 = -2*n + o + 17. What is the third derivative of n*a**5 + 13*a**v + 6*a**5 + 2*a**2 wrt a?
720*a**2
Find the third derivative of -123*y + 2335*y**6 + 5*y**2 - 4*y**2 + 392*y - 3143*y**6 wrt y.
-96960*y**3
Let p(c) = -8*c + 67. Let a be p(8). Find the second derivative of 64 - 7*r + 6*r - r - 36*r**5 + a*r wrt r.
-720*r**3
Let q(x) = -69*x + 4. Let r(o) = 3. Let w be (12/(-18))/((-2)/15). Let t(j) = w*r(j) - q(j). What is the derivative of t(s) wrt s?
69
Let p(w) = -2*w. Let l(n) = 7 + 24 + 11 + 4 + 45*n. Let s(o) = -3*l(o) + 6*p(o). What is the first derivative of s(v) wrt v?
-147
Let s(f) be the second derivative of -f**7/14 + f**6/30 - 3*f**5/10 + 5*f**4/12 - 116*f**3/3 + 1125*f - 3. What is the third derivative of s(j) wrt j?
-180*j**2 + 24*j - 36
Let b(s) be the first derivative of 0*s - 111*s**2 - 177 + 188/3*s**3. What is the second derivative of b(i) wrt i?
376
Find the second derivative of -4394*m**2 + 37185 - 3*m - 43179 + 5*m wrt m.
-8788
Let m(i) be the first derivative of -25*i + 33*i**2 - 9*i - 9 - 1. What is the derivative of m(z) wrt z?
66
Let n(s) be the first derivative of -41*s**3 - 1/3*s**6 + 234 + 0*s + 0*s**2 + 0*s**5 + 1/2*s**4. What is the third derivative of n(h) wrt h?
-120*h**2 + 12
Let w(n) be the third derivative of -464*n**6/15 + 71*n**4/12 - 3925*n**2. Find the second derivative of w(j) wrt j.
-22272*j
Let v(p) be the first derivative of p**6/40 + 3*p**4/4 + 71*p**3/6 + 75*p**2/2 - 24. Let s(d) be the second derivative of v(d). Differentiate s(i) wrt i.
9*i**2 + 18
Suppose -w = z - 37, -w = 4*z - 122 - 17. Suppose 19 = 4*y + 7. Find the second derivative of -z*g**y + 0*g + 23*g**3 - 2*g wrt g.
-66*g
Let a(i) = -i**3 + 13*i**2 - 43*i + 9. Let k be a(7). Find the second derivative of -k*f**3 - 5*f**3 + 106*f - 32*f**3 - 15*f**3 wrt f.
-324*f
Let u(i) = 395*i**2 + 10*i + 5569. Let t(w) = -3*w**2 + 9. Let h(j) = -2*t(j) - u(j). Differentiate h(v) wrt v.
-778*v - 10
Let x(f) be the second derivative of -2*f**6 + f**4 + 670*f**2 + 9433*f. What is the first derivative of x(q) wrt q?
-240*q**3 + 24*q
Differentiate 71*h**3 + 1308 + 106*h**3 - 707*h**3 + 212*h**3 with respect to h.
-954*h**2
Let d(m) = m**3 - 6*m**2 + 9*m - 27. Let t be d(6). What is the second derivative of -t*f**3 + 11*f**3 + 2 + 16*f**3 - 109*f**4 - 87*f wrt f?
-1308*f**2
Let i(t) be the second derivative of -t**7/42 + t**5/20 + 191*t**4/3 - 5*t + 24. What is the third derivative of i(n) wrt n?
-60*n**2 + 6
Let o(a) = 5*a**2 + 4*a + 4. Let j(z) = -5*z + 10 + 6*z + 6*z + 10*z**2. Let f(p) = 3*j(p) - 5*o(p). What is the second derivative of f(y) wrt y?
10
Let w(l) be the third derivative of -109*l**7/42 + 76*l**3/3 + 34*l**2 - 11*l. Find the first derivative of w(d) wrt d.
-2180*d**3
Let o(p) be the first derivative of -70*p**3/3 + 97*p**2/2 + 114*p - 6. Let d(k) be the first derivative of o(k). What is the first derivative of d(r) wrt r?
-140
Let z(g) be the third derivative of 127/6*g**3 + 0 + 0*g + 53/60*g**5 + 0*g**4 + 88*g**2. What is the first derivative of z(q) wrt q?
106*q
Let a(r) be the first derivative of r**6/2 + 4*r**4 + 9*r**2/2 + r - 577. What is the second derivative of a(i) wrt i?
60*i**3 + 96*i
Let r(g) be the second derivative of 11*g**5/5 - g**4/4 - 101*g**3/2 - g**2/2 + 218*g. What is the second derivative of r(z) wrt z?
264*z - 6
Let a be 2/(-6)*0/203. Let f(n) be the first derivative of 24 + 17/3*n**3 - n + a*n**2. Find the first derivative of f(v) wrt v.
34*v
Let t = -111 - -114. What is the first derivative of 3 - 28*v**3 + 3*v**t - 4*v**3 - 8*v**3 wrt v?
-111*v**2
Let o(u) = -2013*u + 1939. Let w(g) = 1006*g - 971. Let q(s) = -2*o(s) - 5*w(s). Differentiate q(k) with respect to k.
-1004
Let k be (6 - 32/6)*3. Let f(t) = t**2 - 6*t - 3. Let r be f(7). Find the first derivative of 6*n**k + 2*n**4 - 15 - 6*n**2 + 4*n**r wrt n.
24*n**3
Let l = 40 - -45. Find the third derivative of -47*n**3 - 148*n**2 + l*n**2 - 23*n**3 wrt n.
-420
Let o(j) be the third derivative of -419*j**6/40 + 1129*j**4/24 + 49*j**2 + 11. What is the second derivative of o(k) wrt k?
-7542*k
What is the first derivative of -678*b + 1158 - 43*b**2 - 32*b**2 + 701*b wrt b?
-150*b + 23
Let x(t) be the first derivative of -6 - 1/4*t**4 + 3/2*t**2 + 5*t + 0*t**3. Let l(s) be the first derivative of x(s). Differentiate l(r) wrt r.
-6*r
Let r = 34 - 40. Let n(u) = 2*u**2 + u + 7. Let o be n(r). What is the derivative of -3 + 53*t - 7 - 7 - o*t wrt t?
-20
Let r(a) = 428*a**3 - 2082*a**2 - 10*a - 5. Let h(c) = -430*c**3 + 2080*c**2 + 8*c + 4. Let j(u) = 5*h(u) + 4*r(u). Find the third derivative of j(w) wrt w.
-2628
Let w(y) be the second derivative of -y**4/12 + 137*y**3/3 - 2115*y**2 + 17*y - 2. Differentiate w(s) wrt s.
-2*s + 274
Let g = -265 - -267. What is the second derivative of 7*b + 25*b**2 - 2*b**g - 11*b**2 + 24*b**2 - 4 wrt b?
72
Let l(s) be the second derivative of 0 - 22/3*s**4 + 6*s - 41/3*s**3 + 0*s**2. Find the second derivative of l(m) wrt m.
-176
Find the second derivative