- 1570*n**3/3 - 199*n + 3. Find the second derivative of j(s) wrt s.
-34160*s**3
Suppose 0 = 4*y + 5*f - 114, -2*y = -0*f - 2*f - 66. What is the derivative of 102 + 32*g + 78 + 11*g - y*g wrt g?
12
Find the second derivative of -3110*o - 7*o**3 + 2*o**5 + 8*o**3 - 138*o**2 - 716*o wrt o.
40*o**3 + 6*o - 276
Let i(k) be the third derivative of 0*k + 0 + 61/6*k**3 + 55/8*k**4 + 156*k**2. Differentiate i(a) with respect to a.
165
Suppose -4*j + 8*j = 40. Suppose 0 = 5*m - j, -6*f + f = -m - 8. What is the first derivative of 1 - 2*s**3 - f + 20*s**3 wrt s?
54*s**2
Let a(w) be the first derivative of 47*w**7/7 + 2*w**5/5 + 3*w**4/2 + 4186*w**3/3 - 3855. What is the third derivative of a(u) wrt u?
5640*u**3 + 48*u + 36
Let n = -463 + 488. Let z = 14 - -10. What is the second derivative of -15*u - z*u**2 - 38*u + n*u wrt u?
-48
What is the first derivative of -1193*q**2 + 1454 - 638*q**2 - 311*q**2 + 1107 wrt q?
-4284*q
Find the second derivative of -4*y + 366 + 82 + 7582*y**2 + 77 wrt y.
15164
Let g(a) = 1485*a**4 + 12*a**3 + 6*a**2 - a - 3. Let s(f) = f**4 + 2*f**3 + f**2. Let u(l) = -g(l) + 6*s(l). What is the second derivative of u(q) wrt q?
-17748*q**2
Let o(i) = i**3 - 8*i**2 - i + 12. Let z be o(8). Suppose -c - 3*l = 11, 21 = 4*c - l - 0*l. Differentiate 90*b**4 - 50*b**z - 46*b**c + 10 wrt b.
-24*b**3
Find the second derivative of -5 - 866*h - 12*h**2 + 3*h**4 + 756*h - 6*h**5 + 45*h**2 wrt h.
-120*h**3 + 36*h**2 + 66
Let c(a) be the first derivative of 0*a - 149/3*a**3 + 0*a**4 + 0*a**6 + 47/7*a**7 + 0*a**2 + 1/5*a**5 + 79. What is the third derivative of c(g) wrt g?
5640*g**3 + 24*g
What is the second derivative of -8215*r - 155*r**2 + 4097*r + 4107*r - 10 wrt r?
-310
Suppose -30*v + 24*v + 24 = 0. What is the second derivative of 6*p**2 - 3*p**2 + 6*p**v + 40*p - 145*p - 21*p wrt p?
72*p**2 + 6
Let z(i) = 3097*i**2 - 98*i - 1435. Let n(y) = -1549*y**2 + 42*y + 717. Let l(p) = 7*n(p) + 3*z(p). Find the first derivative of l(v) wrt v.
-3104*v
Let g(f) = f**3 - 11*f**2 + 9*f + 20. Let y be g(10). Suppose 10 = 5*a - y. Differentiate -22 - 12*w**a + 3*w**4 + 16 wrt w.
-36*w**3
Let d(z) = 1599*z**2 - 14*z + 3343. Let x(s) = -533*s**2 + 4*s - 1114. Let m(j) = -2*d(j) - 7*x(j). Differentiate m(f) with respect to f.
1066*f
What is the second derivative of -306*y - 3510*y**2 - 3 + 5671*y**2 + 2836*y + 3 wrt y?
4322
Differentiate -786 + 738 - 1722*q - 434 with respect to q.
-1722
Let y(o) = -743*o - 543. Let v(j) = -3714*j - 2717. Let r(t) = -2*v(t) + 11*y(t). Find the first derivative of r(x) wrt x.
-745
Let v(g) = g + 1. Let u be v(2). Let m = 554 + -547. What is the third derivative of -5*l**3 + 4*l**3 - 11*l**2 + 6*l**3 + m*l**u wrt l?
72
Let c(t) = t**3 + 5*t**2 + t - 9. Let a be (-18)/4 - (-1)/2. Let z be c(a). Differentiate -3*x**2 + 113 + 3*x**2 - z*x**3 - 94 wrt x.
-9*x**2
What is the third derivative of -362*p - 36*p**2 + 330*p**4 + 38*p**2 + 269*p**4 - 67*p**4 wrt p?
12768*p
Let m be -7 - 44/(0 - 4). What is the derivative of 1286*s**4 - 37 - 2578*s**m + 1286*s**4 wrt s?
-24*s**3
Let c be 2*(558/20 - 15/(-25)). Let b = c + -54. What is the first derivative of 27 - 34*f**4 - 79*f**b + 79*f**3 wrt f?
-136*f**3
Suppose -1320 = -30*s + 19*s. Suppose b - 3*o = 26, 11*b + 5*o - s = 8*b. Differentiate 14*j + 3 - 20*j - b*j**2 + 6*j with respect to j.
-70*j
Let w(h) be the second derivative of h**6/6 + 56*h**4/3 + 2100*h**2 + 1357*h. Differentiate w(j) wrt j.
20*j**3 + 448*j
Let s(z) = 29844*z**3 - 31559*z**2 - 80. Let c(n) = 13264*n**3 - 14026*n**2 - 36. Let l(t) = -20*c(t) + 9*s(t). Find the third derivative of l(g) wrt g.
19896
Let s be (0 - -2 - 4)/(2/(-13)). Let l = -11 + s. Differentiate 3*q - 6*q - l*q - 9 - q wrt q.
-6
Let p(h) = 2*h**2 + 3*h - 3. Let o be p(1). Find the first derivative of -216*q - 299 - 222*q - 188*q**o + 438*q wrt q.
-376*q
Let s(l) be the first derivative of 1156*l**5/5 - 49*l**3/3 + 2*l**2 + 141. Find the third derivative of s(i) wrt i.
27744*i
Let g = -467 + 470. What is the first derivative of 27*v**4 - 122*v**3 + 39*v**3 + 42*v**3 + 41*v**g - 188 + 3*v wrt v?
108*v**3 + 3
Suppose 6*o = 3*o - 18. Let s = 9 + o. What is the derivative of -7*r**3 - 3*r**3 + 22 - 6*r**s wrt r?
-48*r**2
Let w(h) be the third derivative of 1683*h**4/8 - 1537*h**3 - h**2 - 2*h + 314. Differentiate w(l) with respect to l.
5049
Let w(t) be the first derivative of 57 + 2*t - 2*t + 249*t**2 - 213*t**2 - 37*t. Differentiate w(p) wrt p.
72
Let n(z) be the first derivative of -29 - 783*z - 58 + 12*z**5 + 783*z + z**2 + 29*z**3. Find the third derivative of n(w) wrt w.
1440*w
Suppose -3*b + 78 = -198. Let u = -89 + b. Find the first derivative of -u - 6 + 44*r**3 - 26 wrt r.
132*r**2
Let p(a) be the second derivative of -a**5/10 - 689*a**4/12 - 2105*a**2/2 + 2*a + 569. Differentiate p(t) with respect to t.
-6*t**2 - 1378*t
Differentiate -1272*c + 4505*c + 2778 + 901*c wrt c.
4134
Let f = -64 - -72. Find the third derivative of -34*h + 37*h - f*h**2 + 9*h**2 - 52*h**6 + 14*h**2 wrt h.
-6240*h**3
Let j(g) = g + 37. Let d be j(-27). Let c = -374 - -567. Differentiate 3 + 173*y**4 - c*y**4 + d with respect to y.
-80*y**3
Let l(x) be the third derivative of x**7/70 - 157*x**5/15 - 21*x**4/4 - 171*x**2 - 20*x. What is the second derivative of l(a) wrt a?
36*a**2 - 1256
Let t(n) be the first derivative of 7/2*n**2 - 37*n + 120 + 2/3*n**3. Find the first derivative of t(r) wrt r.
4*r + 7
Let r(x) = 2*x**3 + x - 1. Let d(w) = 28*w**4 + 16*w**3 - 98*w - 12. Let h(z) = d(z) - 8*r(z). What is the second derivative of h(n) wrt n?
336*n**2
Let y(f) be the second derivative of 830*f**3/3 - 3609*f**2/2 + 157*f. Find the first derivative of y(i) wrt i.
1660
What is the derivative of -8435 + 4166 + 1912*w**3 + 5088 wrt w?
5736*w**2
Suppose -2*v = v - 45. Suppose -17*c = 173 - 224. What is the first derivative of v*g**c - 180 + 0*g + 163 + 0*g wrt g?
45*g**2
Let m be (-32)/(-3) - (-18)/54. What is the third derivative of -3*k**2 + k - m*k**3 - 12*k + 14*k**3 wrt k?
18
Let g(u) be the first derivative of -1267*u**3 + 9368*u - 1923. What is the derivative of g(m) wrt m?
-7602*m
Find the third derivative of n**3 - 273*n**4 - 29*n - 9*n**2 + 273*n**4 - 1328*n**5 - n**3 wrt n.
-79680*n**2
Find the first derivative of -8*x + 37*x - 1500 + 8610*x**4 - 8603*x**4 wrt x.
28*x**3 + 29
Suppose -11*y + 14*y - 10104 = 0. Find the third derivative of 3345*u**4 + 15*u**2 - 2*u**2 - y*u**4 - u wrt u.
-552*u
Let x be 7*(90/(-12))/(14/(-4)). Let d(r) = -r**3 + 2*r**2 + 4*r. Let o be d(3). Find the first derivative of -8 + 15*l - 3 - 15*l + x*l**o wrt l.
45*l**2
Let u(i) = -i**2 - 14*i - 43. Let p be u(-5). What is the second derivative of -2*z + 77*z**2 + 23*z**2 + 65*z**2 + 63 - 34*z**p wrt z?
262
Let o = 353 - 353. What is the derivative of -6*u**4 + 3*u**4 + o*u**4 + 207 + 2*u**4 + 671*u**2 - 651*u**2 wrt u?
-4*u**3 + 40*u
Let c(s) = -4*s - 51. Let k be c(-15). Find the second derivative of 51*v - 155*v**5 + k*v + 14*v**4 + 154*v**5 wrt v.
-20*v**3 + 168*v**2
Let a = 183 - 179. Find the third derivative of a - 50*q**3 - 78*q**3 + 0*q**2 - 2*q**2 wrt q.
-768
Let q = 232 + -230. Differentiate -52 + 20 - 42*o**q - 37*o + 42*o**2 + o**4 with respect to o.
4*o**3 - 37
Let q be (90/50)/((-6)/(-40)). Let j(c) = c**2 - 12*c + 15. Let x be j(q). What is the third derivative of -4*n**2 + 31*n**2 + x*n**5 + 6*n**5 wrt n?
1260*n**2
Let h(l) be the second derivative of 191*l**7/3 + 62*l**4 - 2*l + 708. Find the third derivative of h(t) wrt t.
160440*t**2
Let q(p) = -28 + 18 - 5*p - 15 + p**2. Let m be q(9). What is the second derivative of 8*a**4 + 3*a**4 - 11*a - m*a + 0*a**4 wrt a?
132*a**2
Let q(v) = v**3 - 2*v**2 - 2*v. Let f(r) = 7*r**3 - 29*r**2 - 2*r - 1682. Let x(j) = -f(j) + 5*q(j). What is the derivative of x(c) wrt c?
-6*c**2 + 38*c - 8
Let k(x) be the third derivative of 568*x**7/105 + 37*x**5/20 - x**4/2 - 2*x**2 - 1776*x. Find the third derivative of k(u) wrt u.
27264*u
Let s(f) be the second derivative of 639*f**4/4 + 1213*f**3/6 - 1915*f. Find the second derivative of s(n) wrt n.
3834
Suppose 0*g = -12*g + 36. What is the second derivative of -29 + 13*n**3 + 45*n**g - 40*n - 2*n**3 + 42*n wrt n?
336*n
Suppose -5*s + 3*u = -1, 0*u + u - 2 = 4*s. Let t be s/(((-3)/(-12))/