- 20*l**3/3 + 17*l**2/2 - 15*l + 39. What is the second derivative of u(k) wrt k?
-6*k - 1270
Suppose -968*h + 961*h = -702065. Find the third derivative of -100295*u**3 - 151*u**4 - 107*u**2 + h*u**3 wrt u.
-3624*u
Let f(y) be the third derivative of -y**6/30 + 383*y**5/60 + 1315*y**4/4 + 16*y**2 - 65. What is the second derivative of f(r) wrt r?
-24*r + 766
What is the third derivative of -1015*h**5 - 464*h**5 + 576*h**5 + 11 + 33*h**2 wrt h?
-54180*h**2
Let z(v) be the second derivative of 320*v**7/21 - 72*v**4 - 851*v. What is the third derivative of z(b) wrt b?
38400*b**2
Suppose 168*w + 180 = 180. Let s(g) be the third derivative of -2*g**2 - 30 - 4*g**3 + 0*g**4 + 17/60*g**5 + w*g. Differentiate s(h) wrt h.
34*h
Let x be ((-105)/(-70))/(((-6)/20)/(-1)). Find the second derivative of -1825*i**3 - i - 9 - 19*i**x + 1825*i**3 wrt i.
-380*i**3
Find the third derivative of -9*m**3 - 3921*m**5 + 12*m**2 - 8*m**6 + 7*m**2 + 3921*m**5 wrt m.
-960*m**3 - 54
Let a(i) be the first derivative of 0*i**3 + 6*i + 1/2*i**6 + 9/2*i**2 + 139 + 6/5*i**5 + 0*i**4. Find the second derivative of a(h) wrt h.
60*h**3 + 72*h**2
Let f(d) = d**2 + 5*d - 2. Let x be f(-8). Let r = x - -6. Find the third derivative of -31*k**2 - 15*k**2 + r*k**2 + 18*k**3 wrt k.
108
Let t(z) be the second derivative of 1 - 7*z + 29/20*z**5 - 1/3*z**4 - 1/10*z**6 + 0*z**3 - 9/2*z**2. Find the third derivative of t(d) wrt d.
-72*d + 174
Let n = -48/341 + 11147/4092. Let r(a) be the second derivative of -26*a + 0 + 0*a**3 - n*a**4 + 0*a**2 + 17/20*a**5. Find the third derivative of r(u) wrt u.
102
Let x be (-116)/(-16) + ((-30)/8)/(-5). Differentiate -69*w - x - 19 + 13*w - 10 wrt w.
-56
Let o(m) = -m**2 + 38*m - 133. Let n be o(34). Find the second derivative of -97*z + 74*z**2 + z**n + 226 + 227 - 452 wrt z.
6*z + 148
Let u(l) be the third derivative of 38/3*l**3 + 0*l**4 + 7 + 1/5*l**5 + 7*l**2 + 0*l - 1/210*l**7 + 0*l**6. Find the first derivative of u(b) wrt b.
-4*b**3 + 24*b
Let j be 16/312*192 - 2/(-13). What is the second derivative of -35*z**4 - 2*z - 2*z**3 + 32*z**4 + j*z**3 - 97 + 9*z**3 wrt z?
-36*z**2 + 102*z
Let w(u) be the first derivative of 6017*u**2/2 - 4673*u + 3841. What is the derivative of w(c) wrt c?
6017
Suppose 0*s - 6 = -3*s. Suppose 0 = 8*i - s*i. Find the third derivative of i + 1 - 2*a**3 - 11*a**2 - 3*a**2 + 2*a**6 wrt a.
240*a**3 - 12
Let n(s) be the third derivative of -13/24*s**4 - 1/6*s**3 + 0 + 8/105*s**7 + 0*s**5 + 0*s + 57*s**2 + 0*s**6. What is the second derivative of n(u) wrt u?
192*u**2
Let y(z) = -5*z**4 + 4*z - 1. Let n(p) = 7*p**4 + 1311*p**3 + 3772*p**2 - 8*p + 2. Let a(j) = n(j) + 2*y(j). What is the third derivative of a(t) wrt t?
-72*t + 7866
Let k(o) be the first derivative of 0*o**2 + 0*o**6 - 24*o + 0*o**4 + 5/3*o**3 + 6*o**7 - 194 + 0*o**5. What is the third derivative of k(q) wrt q?
5040*q**3
Let k be (-2)/(25/15*(-4)/10). Suppose 0 = -k*t + 8*t - 25. Find the second derivative of -t*q**3 - 4*q - 3*q**3 + 4*q**3 wrt q.
-24*q
Find the second derivative of -58*m**3 + 2077 + 2570*m - 4155 + 2078 wrt m.
-348*m
Let f = 8506 - 8502. Let w(o) be the first derivative of 11/2*o**2 + 0*o + 15 + 0*o**3 - 16/5*o**5 + 0*o**f. Find the second derivative of w(d) wrt d.
-192*d**2
Let x(f) be the second derivative of -949*f**4/6 - 963*f**2/2 + 1064*f - 1. Differentiate x(g) with respect to g.
-3796*g
Let q(t) = 263*t**4 - 6*t**3 + 92*t**2 + 5. Let k(u) = 262*u**4 - 7*u**3 + 92*u**2 + 6. Let m(w) = 6*k(w) - 7*q(w). Find the third derivative of m(j) wrt j.
-6456*j
Let p(c) = c**2 - 4*c + 2. Let t be p(4). Let u be 24490/4 + t + (-9)/6. What is the second derivative of -30*a - u*a**2 + 35*a**3 + 6123*a**2 wrt a?
210*a
Let s(y) = 6 + 98*y + 4*y**2 - 101*y + y**3 - y**2. Let w be s(-4). What is the second derivative of d**3 - 18*d - 249*d**w + d**3 + 24*d**4 + 249*d**2 wrt d?
288*d**2 + 12*d
Let q(x) be the first derivative of 884*x**2 - 493*x - 951. Find the first derivative of q(w) wrt w.
1768
Let z(b) be the third derivative of -b**8/336 + 31*b**6/120 - 14*b**4 + 1496*b**2 - 1. Find the second derivative of z(p) wrt p.
-20*p**3 + 186*p
Suppose 7*c - 4 = 9*c. Let j be (-325)/(-45) - ((-40)/(-18) + c). What is the first derivative of 0 - 2 - 18 + j*g**3 wrt g?
21*g**2
What is the third derivative of 373 + 2*v**3 + 178*v**2 + 371 + 117*v**4 - 746 wrt v?
2808*v + 12
Let m(p) = 5561*p**2 + 1490*p + 2. Let k(v) = -4*v**2 - 2*v. Let y(x) = -k(x) - m(x). Find the second derivative of y(g) wrt g.
-11114
Suppose 17*d + 6*d = d. Find the third derivative of 75*t + d*t**5 + 118*t**6 - 75*t - 112*t**2 + t**5 wrt t.
14160*t**3 + 60*t**2
Let j(g) be the first derivative of -34*g**5 + 4*g**3/3 - g**2 + 148*g + 4633. Find the third derivative of j(i) wrt i.
-4080*i
Let i(f) be the second derivative of 2539*f**5/20 + 979*f**3/6 - 61*f + 32. What is the second derivative of i(b) wrt b?
15234*b
Suppose 0 = 2*b - 5*r - 17, r + 31 = 5*b - 0*r. Suppose -v - b = 2*v, 3*m = 5*v + 13. What is the first derivative of 4*k**2 - m - 4*k**2 + 4*k**2 + 3 wrt k?
8*k
Let z(r) be the third derivative of 0*r**4 + 0*r + 0 + 49*r**2 + 1/105*r**7 - 23/2*r**3 + 0*r**5 + 0*r**6. Differentiate z(p) with respect to p.
8*p**3
What is the derivative of 7057*y + 2123 + 1634 - 1684 + 282 + 3797 wrt y?
7057
Let o be 4 + 84/(-20) + (-504)/30. Let y(w) = -46*w - 14. Let x(u) = -141*u - 41. Let m(n) = o*y(n) + 6*x(n). Find the first derivative of m(d) wrt d.
-64
What is the third derivative of 79*x**5 + 141 + 18*x**3 - 3*x**2 - 199 - 49*x**5 - 231 wrt x?
1800*x**2 + 108
Suppose 0*p = -4*p - 5*b - 24, -3 = p + 2*b. Let w be (-2)/p - (7182/(-66) - -3). Differentiate 80 - w + q - 24*q with respect to q.
-23
Let r(w) = 10672*w - 4201. Let d(l) = 2670*l - 1051. Let n(x) = -15*d(x) + 4*r(x). Differentiate n(s) wrt s.
2638
Let v(r) be the third derivative of -r**9/504 - 41*r**7/105 - r**5/30 - 17*r**3/6 + 1298*r**2. Find the third derivative of v(g) wrt g.
-120*g**3 - 1968*g
Find the first derivative of 3*w**2 - 76*w**4 + 147*w**4 + 33*w + 3255 - 4*w**2 - 81*w**4 + 4*w**2 wrt w.
-40*w**3 + 6*w + 33
What is the first derivative of 1570*t**2 + 2035*t**2 + 1204 + 1897 wrt t?
7210*t
Let d(r) be the second derivative of 1/15*r**6 + 10 + 0*r**3 + 2/3*r**4 + 6/5*r**5 + 0*r**2 - 2*r. What is the third derivative of d(g) wrt g?
48*g + 144
Let q be 3619/55 - (-4)/(-40)*8. What is the derivative of 81 - q - 101*h - 136*h + 91 wrt h?
-237
Let r(p) be the third derivative of 0*p**4 + 0*p**3 + 0 + 38*p**2 - 17/3*p**5 - 63/40*p**6 + p. Find the third derivative of r(z) wrt z.
-1134
Let j(s) = 1505*s**3 - 365*s**2 + 6*s. Let i(c) = -1509*c**3 + 364*c**2 - 5*c. Let f(g) = 6*i(g) + 5*j(g). Find the third derivative of f(z) wrt z.
-9174
What is the derivative of 1119*q**4 - 246 - 355 + 948*q**4 - 4 + 609*q**4 wrt q?
10704*q**3
Let k(f) = -f**3 + 3*f**2 - f + 1. Let r(p) = -1688*p**4 - p**3 + 3*p**2 - 518*p + 1. Let a(h) = k(h) - r(h). What is the second derivative of a(n) wrt n?
20256*n**2
Find the second derivative of -4*s**4 + 1037*s**5 + 4*s**4 - 525*s**5 + 1221*s wrt s.
10240*s**3
Let q(m) be the second derivative of -442*m**7/21 - 2*m**3 + 37*m**2/2 + 2192*m. What is the second derivative of q(x) wrt x?
-17680*x**3
Let p = -44815 - -44819. Let o(x) be the second derivative of 0*x**p + 33*x + 0 - 4*x**2 + 0*x**3 - 19/10*x**5. What is the derivative of o(r) wrt r?
-114*r**2
Let g(t) = -9933*t - 4205. Let c(q) = -5960*q - 2524. Let v(i) = -12*c(i) + 7*g(i). Differentiate v(h) with respect to h.
1989
Let x(u) = 6702*u + 4520. Let h(y) = -6711*y - 4519. Let g(k) = 3*h(k) + 2*x(k). Differentiate g(a) wrt a.
-6729
Let n(u) = -u**5 - u**4 + 10*u. Let z(m) = 10*m**5 - 1136*m**4 + 2*m**3 + 505*m**2 - 77*m. Let t(c) = 8*n(c) + z(c). Find the third derivative of t(q) wrt q.
120*q**2 - 27456*q + 12
Let o = 399 - 168. Find the first derivative of -205*m**2 - 7 + 213*m**2 + o*m**2 - 3 wrt m.
478*m
Let x = -199 + 374. Find the third derivative of 76*v**2 - x*v**5 + 476 - 477 - 48*v**2 wrt v.
-10500*v**2
Let v = -1847 + 4947. What is the derivative of -27*u**2 + 92 + 3100*u - v*u wrt u?
-54*u
Differentiate q**3 - 26*q**2 - 17*q**2 - 4*q - 1467 + 4*q + 1664 with respect to q.
3*q**2 - 86*q
Let w = 128 + -131. Let r(y) = 7*y**4 + y**2