- 3*s + 44. What is the second derivative of -s*v - 16*v**3 + 2*v + 17*v wrt v?
-96*v
Let m be (2/3)/(5/30). Suppose 61 = m*i + d, 4*d + 38 = -3*i + 100. What is the second derivative of -i*u**2 - u - 6*u - 4*u**2 + 7*u**2 wrt u?
-22
Let d = 242 - 238. What is the second derivative of -3*t + 10*t**d + 0*t - t + 72*t**4 - 6*t wrt t?
984*t**2
Let r(s) = -6*s**2 + 43*s + 13. Let h be r(7). Find the third derivative of h*o**5 + 0*o**2 + 137*o**5 - 7*o**2 + 8*o**2 - 23 wrt o.
9420*o**2
What is the third derivative of 235*i**4 + 24 - 442*i**4 - 513*i**4 - 24 - 119*i**2 wrt i?
-17280*i
Suppose -212 = -28*d - 128. Let y(z) be the first derivative of z - d - 13/3*z**3 + 0*z**2. Find the first derivative of y(a) wrt a.
-26*a
Let y(t) = -3*t**3 - 5*t**2 - 472*t - 8449. Let p(b) = 4*b**3 + 8*b**2 + 704*b + 12674. Let i(a) = -5*p(a) - 8*y(a). What is the first derivative of i(w) wrt w?
12*w**2 + 256
Let t(p) be the first derivative of 268*p**5/5 - p**4/4 - p**3/3 + 3463*p**2/2 + 4562. Find the second derivative of t(i) wrt i.
3216*i**2 - 6*i - 2
What is the second derivative of -2547*n**3 + 989*n**3 - 624*n - 2044*n**3 + 629*n**3 wrt n?
-17838*n
Let l(p) be the second derivative of 0*p**4 + 0 - 34*p - 33/2*p**2 + 0*p**3 - 47/20*p**5. What is the derivative of l(i) wrt i?
-141*i**2
Let u(v) = -20*v - 105. Let c be u(-6). Find the first derivative of -c + 7 + 16 - 65 - 37 + 152*y wrt y.
152
What is the derivative of -29*n**3 + 10*n - 488 - 86 + 3088 wrt n?
-87*n**2 + 10
What is the third derivative of -136*h - 5*h**2 + 6*h**2 + 2*h**2 - h**2 - 1003*h**3 + 0*h**2 - h**5 wrt h?
-60*h**2 - 6018
Let t(g) be the first derivative of -3*g**5/20 - g**4/4 - 29*g + 33. Let n(i) be the first derivative of t(i). Find the third derivative of n(p) wrt p.
-18
What is the second derivative of -1271*p**2 + 8396*p - 424*p**3 - 1612*p + 423*p**3 - 4347*p**2 wrt p?
-6*p - 11236
Let t(k) be the first derivative of -4*k**5/5 - 5*k**4/4 - 1780*k + 4025. What is the derivative of t(y) wrt y?
-16*y**3 - 15*y**2
Suppose 5*c - 8 = 3*c. Suppose -15*i + 44*i = -27*i + 168. What is the second derivative of -c*b**3 - 224 + 3*b**3 + 225 - 5*b - b**i + b**4 wrt b?
12*b**2 - 12*b
Let h(k) be the third derivative of -3/10*k**5 - 1/3*k**3 + 0 + 41/24*k**4 + 0*k + 173*k**2 + 1/20*k**6. Find the second derivative of h(s) wrt s.
36*s - 36
Let n(m) be the first derivative of 602*m**2 + 520*m + 217. Differentiate n(h) with respect to h.
1204
Let k(d) be the first derivative of -1545*d**4/2 + 13*d**2 + 19*d + 1592. What is the second derivative of k(p) wrt p?
-18540*p
What is the third derivative of -3266*d**4 + 1630*d - 3269*d + 2762*d**2 + 1639*d wrt d?
-78384*d
Let l(j) be the second derivative of 1/5*j**5 + 63*j - 17/12*j**4 + 0*j**2 - 5*j**3 + 0. What is the second derivative of l(d) wrt d?
24*d - 34
Let s(m) = -25*m - 364. Let o be s(-15). What is the second derivative of -o*y**5 + y**2 + 8*y - 4609*y**3 + 4609*y**3 wrt y?
-220*y**3 + 2
What is the first derivative of 46*i - 20*i**2 + 20*i + 1905 - i - 97*i wrt i?
-40*i - 32
Let z = 35 - 30. Suppose 4*c = z*c - 3*x - 9, c - 4*x - 11 = 0. Differentiate 11*m - 4 + 1 - 4 - c with respect to m.
11
Suppose -60 = -125*a + 95*a. Let m = 57 + -40. What is the second derivative of 9*h + 6*h**2 + 11*h + 7*h**a + m*h**2 wrt h?
60
Differentiate -n**3 + n**2 - 935 - 1261 + 13 - 108*n with respect to n.
-3*n**2 + 2*n - 108
Let t(w) be the second derivative of -221*w**7/21 + 913*w**3/6 + 226*w. Find the second derivative of t(b) wrt b.
-8840*b**3
Let o(u) be the third derivative of 0 + 0*u + 39*u**2 - 23/24*u**4 + 7/2*u**3. What is the derivative of o(j) wrt j?
-23
Let b(x) = -87*x - 91. Suppose 3*k + 15 = 0, k + 6 = -r - k. Let g(h) = 87*h + 91. Let v(z) = r*b(z) + 5*g(z). Find the first derivative of v(i) wrt i.
87
Let x(f) = 0 + 6 - 22 - 49 + 142*f. Let u(z) = 212*z - 97. Let c(s) = -5*u(s) + 7*x(s). Differentiate c(g) wrt g.
-66
Let b(c) = -2062*c**2 - 4*c - 1980. Let p(w) = -6221*w**2 - 11*w - 5939. Let n(v) = 11*b(v) - 4*p(v). What is the derivative of n(g) wrt g?
4404*g
Find the third derivative of -1852*i**2 - 197*i - 1668*i**4 + 61*i + 66*i + 70*i wrt i.
-40032*i
Let r(w) be the second derivative of -415*w**7/21 - 95*w**3/2 - w**2/2 + 1563*w. What is the second derivative of r(f) wrt f?
-16600*f**3
Suppose -r + 3 = 0, 9*d - 6*d = 4*r + 186. Find the second derivative of 93*p**3 + 277*p + 366*p + d*p**3 - 473*p wrt p.
954*p
Let u(z) be the first derivative of -7/2*z**2 + z**4 + 0*z**3 - 6*z + 27. Let f(g) be the first derivative of u(g). What is the derivative of f(c) wrt c?
24*c
Let s(j) be the second derivative of 63/2*j**3 - j + 73*j**2 + 28. Find the first derivative of s(c) wrt c.
189
What is the third derivative of 180*c**5 - 662*c**2 + 15*c - 320*c**2 - 15*c + 1016*c**5 wrt c?
71760*c**2
Let w(b) = b**3 + b**2 - b + 1. Let l(j) = 7 - 3*j + 6*j**3 - 40 + j**2 + 0*j**2. Let m(k) = -l(k) + 3*w(k). Differentiate m(s) with respect to s.
-9*s**2 + 4*s
What is the third derivative of 6*x - 11*x - 339*x**4 - 32*x**2 + x**3 - 2 + 343*x**4 - 1127*x**4 wrt x?
-26952*x + 6
Suppose -5*s - 5*h = -1350, -2*s - 6*h + 545 = -3*h. Find the second derivative of 339*m - 2*m**3 - 57*m**2 - s*m - 186*m wrt m.
-12*m - 114
Let m(w) = 3*w**2 + 5*w**2 - 2*w + w. Let k be m(1). What is the third derivative of -k*v**2 + 10*v**5 - 29*v + 29*v wrt v?
600*v**2
Let o(k) = 9*k**4 + 325*k**3 + 5*k**2 - 2*k - 46. Let r(a) = a**4 + a**3 + a**2 - 1. Let v(g) = -o(g) + 6*r(g). What is the second derivative of v(c) wrt c?
-36*c**2 - 1914*c + 2
Suppose -3*k + 8 = i + 3, -3*i = -3*k - 3. What is the third derivative of -44*v**2 + 72*v**i + 30*v**4 + 14*v**4 wrt v?
1056*v
Let i(x) be the second derivative of 43*x**6/15 + x**4/2 - x**3 - 6*x**2 + 28*x - 2. What is the second derivative of i(h) wrt h?
1032*h**2 + 12
Let n(v) be the second derivative of 638*v**4 + 7357*v**3/6 - 4*v + 549. Find the second derivative of n(f) wrt f.
15312
Differentiate -178 - 3*a**3 + a**3 - 59603*a - 59599*a - 276*a**2 + 119205*a with respect to a.
-6*a**2 - 552*a + 3
Let c(j) be the first derivative of -j**8/48 - 13*j**5/20 + 77*j**2/2 - 61. Let u(v) be the second derivative of c(v). Find the third derivative of u(o) wrt o.
-420*o**2
Let b(f) = -3*f**3 + 18*f**2 + 10*f - 29. Let u be b(6). Find the second derivative of u*l**2 + l + 57*l**2 + 108*l**2 - 15*l**2 - 3*l - 121 wrt l.
362
Let d be -6*(84/(-18) + -1 + 5). What is the second derivative of 2*i - 41*i**2 + 9*i**2 + 18 + 35*i**2 - 9*i**d wrt i?
-108*i**2 + 6
What is the third derivative of 0*h**3 + 1 - 549*h**2 - 26422*h**6 + 26424*h**6 + 3085*h**5 + h + 0*h**3 wrt h?
240*h**3 + 185100*h**2
Let o(q) = -q**2 - 32*q + 8. Let k be o(-22). What is the second derivative of 65*b + 109*b + 17*b**2 - k*b + 5*b**3 + 89*b wrt b?
30*b + 34
Suppose m + 0*m - 2 = 0. What is the third derivative of 4*s**4 + 2*s**m - 2*s - 4*s**4 + 34*s**5 + 46*s**5 wrt s?
4800*s**2
What is the third derivative of -4*f - f**4 + 203*f**2 - 15*f - 2138*f**5 + 23*f + f**4 wrt f?
-128280*f**2
Suppose -6 = -o - 2*o - 3*b, 11 = 4*o + b. Let k be o*(-2)/(12/(-14)). What is the second derivative of -21*u**5 - 154*u + 181*u - k*u**5 wrt u?
-560*u**3
Let j(k) = -k**3 - 2*k**2 + 8*k - 4. Let w = -41 + 36. Let b be j(w). Find the second derivative of 70*s + 0*s - b*s - 28*s**4 wrt s.
-336*s**2
Let g = 426 + -423. Differentiate 44*m**3 + 25*m**g - 125 + 9 + 0*m**3 wrt m.
207*m**2
Suppose -5*u + 30*u = 250. What is the second derivative of -7*s**3 + 21*s**5 + s**3 - 12*s**5 - 4*s**3 + 49*s - u*s**5 wrt s?
-20*s**3 - 60*s
Let a(q) be the second derivative of q**5 + 22*q - 69/2*q**2 - 2 - 1/6*q**4 + 0*q**3. What is the derivative of a(r) wrt r?
60*r**2 - 4*r
Suppose 5*y = -0*y + 15. Suppose -s = y*s - 40. Differentiate s - 29*d**4 - 11*d**3 + 11*d**3 with respect to d.
-116*d**3
Let g(q) be the third derivative of -5*q**9/252 - q**7/70 - q**5/20 - 10*q**3 - 43*q**2 - 16*q. What is the third derivative of g(w) wrt w?
-1200*w**3 - 72*w
Let l be -2 + 5 + 5/(-5). What is the derivative of -h + 184*h**2 - 385*h**2 + 110 + 187*h**l wrt h?
-28*h - 1
Let p(m) be the first derivative of 759*m**4/4 - 45*m**2/2 + 4*m + 298. Find the second derivative of p(l) wrt l.
4554*l
Let w(j) = -51*j**2 + 17*j - 1