4022. What is the third derivative of u(j) wrt j?
332940*j**2
Let p(g) be the first derivative of 147 + 31*g - 49*g**3 + 1/2*g**4 + 0*g**2. What is the derivative of p(t) wrt t?
6*t**2 - 294*t
Let c(d) be the third derivative of -2/3*d**4 + 0 - 1/40*d**6 + 0*d**5 + 16/105*d**7 + 0*d + 0*d**3 - 107*d**2. Find the second derivative of c(p) wrt p.
384*p**2 - 18*p
Let w(n) be the third derivative of 2161*n**6/120 - n**5/60 - 176*n**3/3 + 1113*n**2. Find the third derivative of w(x) wrt x.
12966
What is the second derivative of -9063*v**2 + 3 + 281*v + 5 + 11845*v**2 - 4 wrt v?
5564
Let l(w) = 113*w**3 + 16*w**2 + 4*w - 3690. Let h(q) = 227*q**3 + 31*q**2 + 7*q - 7382. Let z(f) = -4*h(f) + 7*l(f). What is the first derivative of z(g) wrt g?
-351*g**2 - 24*g
Let a(p) be the second derivative of -163*p**5/2 + 13*p**3/6 - 11*p**2/2 + 623*p. Find the second derivative of a(l) wrt l.
-9780*l
Let b(x) = 5615*x**4 + 1386*x**2 + 11*x - 10. Let l(o) = 1123*o**4 + 278*o**2 + 2*o - 2. Let n(h) = -2*b(h) + 11*l(h). Find the third derivative of n(c) wrt c.
26952*c
Let m(c) be the first derivative of 47/3*c**3 + 26 + 0*c - 27*c**2. What is the second derivative of m(x) wrt x?
94
Let h(v) be the second derivative of -149*v**3/3 + 683*v**2/2 - 2276*v. Differentiate h(w) with respect to w.
-298
Let b(i) be the second derivative of -1201*i**4/6 + 915*i**2/2 + 1915*i. What is the derivative of b(l) wrt l?
-4804*l
Let d = 203 - 198. Find the second derivative of 168*f**d - 9*f + 2 + 8 + 22*f - 15*f + 32 wrt f.
3360*f**3
Let i(h) = 5*h**3 + 26 + 12*h - 5*h**3 - 3*h**3 - 144. Let u(w) = 4*w**3 - 12*w + 118. Let q(v) = -7*i(v) - 6*u(v). Differentiate q(t) with respect to t.
-9*t**2 - 12
Let n = 138 - 118. Suppose 3*h - n = -2*h, -4*h = 3*k - 22. What is the first derivative of -1 + 8 + k + 3 - 6*t wrt t?
-6
Let x(y) be the first derivative of 3209*y**5/5 - 9*y**2 - 17*y - 688. Find the second derivative of x(m) wrt m.
38508*m**2
Let g(m) = 33504*m**3 - 2266*m + 297. Let f(h) = -22336*h**3 + 1511*h - 212. Let r(p) = 7*f(p) + 5*g(p). Find the second derivative of r(z) wrt z.
67008*z
Let c(f) be the first derivative of 12*f**5/5 - 49*f**4/4 + 3037*f + 1621. Differentiate c(t) with respect to t.
48*t**3 - 147*t**2
Let m(z) = 1085*z**3 + 24*z**2 + 131*z - 1. Let j(n) = -1085*n**3 - 26*n**2 - 122*n + 2. Let c(t) = 12*j(t) + 13*m(t). Find the second derivative of c(f) wrt f.
6510*f
Suppose 3*g - 5*g - 2*j + 6 = 0, 0 = -2*g + 4*j + 18. Find the third derivative of 4*w**2 - 5*w**5 - 34*w**g - 29*w**5 + 10*w wrt w.
-4080*w**2
Let r = 173 - 97. Suppose 2*k = -4*v + 106, -4*v = k - 5*k - r. Find the second derivative of -v*h**3 - 2*h + 20*h**2 - 20*h**2 wrt h.
-144*h
Let a(p) = 1278*p**2 + 221*p - 8. Let t(h) = 1274*h**2 + 224*h - 7. Let b(z) = 5*a(z) - 6*t(z). What is the second derivative of b(w) wrt w?
-2508
Let l(p) be the first derivative of -1809*p**2 - 2970*p - 563. Find the first derivative of l(k) wrt k.
-3618
Find the second derivative of -290882*r**4 + 292002*r**4 - 5 + 3*r**3 - 310*r - 3*r**3 wrt r.
13440*r**2
Let r = 6 + 10. Suppose r*d - 132 = 4*d. What is the second derivative of d*s**2 - 6*s + 5*s**2 + 16*s wrt s?
32
Let n(a) be the second derivative of -31*a**5/4 + 2*a**4/3 + 1705*a**3/2 - 128*a - 12. What is the second derivative of n(t) wrt t?
-930*t + 16
Suppose 4*h - 3 = 3*v - 0, 0 = 2*h + 2*v + 2. Suppose 4*i - 18 + 6 = h. Find the first derivative of 2*r**2 - 10 - 2*r**2 + 2*r**i wrt r.
6*r**2
Let j(c) = -6*c + 392. Let g be j(65). Let t(n) be the first derivative of 0*n**g - 12*n - 2/3*n**3 - 19. Differentiate t(v) wrt v.
-4*v
Find the third derivative of 632*g**6 - 523*g + 487*g - 72*g**2 + 73*g**2 wrt g.
75840*g**3
Let d(p) = 163*p**2 - 19*p + 1644. Let c(w) = -81*w**2 + 8*w - 822. Let f(o) = 7*c(o) + 3*d(o). Differentiate f(m) with respect to m.
-156*m - 1
Let m(a) be the second derivative of 0*a**4 + 0*a**3 - 22*a**2 - 2 - 18/5*a**5 - 225*a. Differentiate m(j) with respect to j.
-216*j**2
Let a(n) be the second derivative of 0*n**6 + 23/42*n**7 - 6*n**3 + 3/2*n**2 + 61*n + 0 + 0*n**4 + 0*n**5. Find the second derivative of a(l) wrt l.
460*l**3
Suppose -5*j + 5 = 5*a - 0, -15 = 3*a. Find the third derivative of 14*b**5 + 2*b**2 + b**j - 7 + 0 + b**5 wrt b.
120*b**3 + 900*b**2
What is the second derivative of 201 + 75*u**5 + 4*u + 467*u**5 - 202 + 18*u - 110*u**5 wrt u?
8640*u**3
Let l(u) = -u**6 + u**3 + 5*u**2 - 1. Let q(z) = -3*z**6 - 37*z**5 - 5*z**3 + 18*z**2 - 730. Let b(s) = 5*l(s) - q(s). Find the third derivative of b(y) wrt y.
-240*y**3 + 2220*y**2 + 60
Let g(d) = -d**2 - 5*d. Let v be g(-5). Let z(p) be the first derivative of -15 + 0*p + v*p**3 - 11/2*p**2 + p**4. What is the second derivative of z(j) wrt j?
24*j
Let d(o) = 12*o**3 + 3*o**2 - o. Let f(i) = -59*i**3 + 3288*i**2 + 4*i + 5106. Let j(q) = -5*d(q) - f(q). What is the second derivative of j(r) wrt r?
-6*r - 6606
Let a(p) = 1874*p**3 + 2*p**2 - 7*p - 8. Let k(m) = m**3 - m**2 - m - 2. Let b(c) = -a(c) + 7*k(c). Find the third derivative of b(g) wrt g.
-11202
Suppose -3*m + 6*m = 0. Suppose -27*v + 32*v - 15 = m. What is the derivative of 20 + 8 + v*j - 4*j - 7 wrt j?
-1
What is the second derivative of -996*l + 906680*l**4 - 2*l**2 - 906629*l**4 - 713*l wrt l?
612*l**2 - 4
Suppose -37*b + 28 = -83. Find the second derivative of 98 + 89 - 189 - 3*u**2 - 22*u**b + 4*u wrt u.
-132*u - 6
Let t be (-6)/((2/(-10))/((-90)/(-25))). What is the second derivative of -36*o**2 - 72*o - 72*o - t*o**2 - 5 + 143*o + 36 wrt o?
-288
Let c be 4*(-4)/(-10)*(-15)/(-6). Find the first derivative of -122*x**c + 256*x**4 + 100 - 132*x**4 + 169*x**2 - 46*x**2 wrt x.
8*x**3 + 246*x
Find the first derivative of 3227 - 1711*u**2 + 1716*u**2 - 176*u**3 + 112*u**3 - 466*u**3 wrt u.
-1590*u**2 + 10*u
Let y(i) = 3*i**3 + 21*i**2 + 5*i - 44. Let b(c) = 2*c + 420*c**3 - c - 419*c**3 + 2*c**2. Let s(f) = 5*b(f) - y(f). Find the first derivative of s(w) wrt w.
6*w**2 - 22*w
Differentiate -688 - 913 - 498*d**2 - 951*d**2 wrt d.
-2898*d
Let v(p) be the second derivative of -p**6/15 + p**5/5 + p**4/6 + 371*p**3/2 + 3302*p. What is the second derivative of v(a) wrt a?
-24*a**2 + 24*a + 4
Find the second derivative of 141 - 170*m**4 + 32*m**3 + 2*m**2 + 4190*m - 139 + 136*m**4 wrt m.
-408*m**2 + 192*m + 4
Let r = 94 + -92. Suppose r*u + 130 = 3*p, 138 = 3*p - 4*u - 2. Differentiate -65 + 70 + 9*o**3 + 34*o**3 - p with respect to o.
129*o**2
Let j = 190 - 186. Find the second derivative of p**4 - 5 - j*p**2 + 12 - 9 - 32*p wrt p.
12*p**2 - 8
Suppose 21 = -5*i + 36. Differentiate 40*f**i + 58 + 6 - 5*f**3 wrt f.
105*f**2
Let z be (12/(-15))/((-8)/(-760)). Let p = z + 78. Find the third derivative of 8*w**5 + 8*w**2 + 8*w**2 + 7*w**p + 0*w**2 wrt w.
480*w**2
Suppose 0 = 2*d, 2*v + 7*d = 3*d + 8. Find the second derivative of -20*b - 26*b + 35*b + 7*b**v - 53*b**4 - 3 + 1 wrt b.
-552*b**2
Let u be 220/(-18) + ((-120)/54)/(-10). Let g = 29 + u. What is the second derivative of -17*t + t**2 - g*t**2 - 2*t**2 wrt t?
-36
Suppose 35 = u + 6*u. Suppose 5*s + r - u*r - 6 = 0, s - 4*r + 2 = 0. Find the third derivative of 3*i**4 + 7*i**s + 0*i + 10*i**2 + 0*i wrt i.
72*i
Let h(d) be the third derivative of 127*d**6/12 - 1555*d**4/24 - 1872*d**2. Find the second derivative of h(s) wrt s.
7620*s
Let d(b) be the second derivative of 1641*b**5/4 - 331*b**4/2 - 13647*b. What is the third derivative of d(r) wrt r?
49230
What is the third derivative of -9327*o**3 - 240*o**2 - 39421*o - 302*o**2 + 39424*o wrt o?
-55962
Let a(m) be the second derivative of -2*m**6/3 + 3*m**5/20 - 8*m**3/3 + 349*m**2 - 84*m - 1. What is the first derivative of a(b) wrt b?
-80*b**3 + 9*b**2 - 16
Let q = -20 + 24. Suppose 120 = q*l + 32. Find the third derivative of -2*c**3 - l*c**3 + 5*c**3 + 24*c**2 - 7*c**2 wrt c.
-114
Let u be 1 + -6 + 3/(-3 - 0). Let q be u + 5 - (1 - 4). What is the first derivative of -5 + 6*w**2 - q + 0 + 1 wrt w?
12*w
Suppose 68 = 5*t - t. Let f be (14/(-6))/(16/(-48)). What is the third derivative of -t*j**5 + 7*j**5 + 24*j**2 - f*j**5 wrt j?
-1020*j**2
Let r(o) = 4414*o**3 + 15*o**2 - 13*o + 74. Let u(l) = 2211*l**3 + 7*l**2 - 6*l + 37. Let f(g) = -6*r(g) + 13*u(g). Find the third derivative of f(y) wrt y.
13554
Let k(v) = 3*v**3 - 