- 550 + 20*v**2 wrt v.
40
Let t(p) be the first derivative of -32/3*p**3 + 9 - 33*p + 1/2*p**4 - 1/2*p**2. Find the second derivative of t(r) wrt r.
12*r - 64
Let r be (1/3)/((-1)/(-15)). Suppose -35 = -r*j + 5*f, 6*f = -3*j + 2*f - 14. Find the second derivative of -2*s - 3*s**3 - j*s - 15*s**3 wrt s.
-108*s
Let x(m) be the first derivative of -13*m + 1/3*m**3 + 0*m**2 + 0*m**6 - 3/5*m**5 + 0*m**4 + 43 - 8/7*m**7. What is the third derivative of x(f) wrt f?
-960*f**3 - 72*f
Let v(c) be the second derivative of 1989*c**5/20 - 2431*c**4/12 - 14*c - 61. What is the third derivative of v(r) wrt r?
11934
Let i(o) be the second derivative of -363*o**8/56 - o**6/15 + 64*o**4/3 - o**3/3 - o**2/2 - o - 2532. Find the third derivative of i(p) wrt p.
-43560*p**3 - 48*p
Let f(z) = 77*z**3 - z**2 - 6*z - 694. Let t(j) = -154*j**3 + 2*j**2 + 10*j + 1389. Let b(v) = -5*f(v) - 3*t(v). What is the first derivative of b(k) wrt k?
231*k**2 - 2*k
Let w(f) = 369*f + 361. Let b(i) = 18*i + 109*i - 4*i + 120. Let n(m) = 11*b(m) - 4*w(m). What is the first derivative of n(o) wrt o?
-123
What is the first derivative of 647*v**2 - 107 - 1756*v**2 - 92 - 13 - 57 wrt v?
-2218*v
Let r(z) = 7203*z + 81. Let h(n) = -21610*n - 245. Let f(t) = 2*h(t) + 7*r(t). Differentiate f(l) with respect to l.
7201
Let y(o) = 4933*o**3 - 20*o**2 + 6*o + 72. Let l(c) = -4933*c**3 + 17*c**2 - 5*c - 71. Let m(b) = -6*l(b) - 5*y(b). What is the third derivative of m(f) wrt f?
29598
Let m(c) = 1113*c**2 - 6*c - 1. Let z(n) = -n - 2. Let i(u) = m(u) + 4*z(u). Find the second derivative of i(x) wrt x.
2226
Suppose 47 = -6*k + 179. Find the third derivative of k*w**2 + 5928*w**4 - 5937*w**4 + 51*w**2 + 2*w**3 wrt w.
-216*w + 12
Suppose -5*h - 10 + 4 = -4*x, -h - 10 = -3*x. Find the second derivative of -38156*f**h + 127*f**4 + 6*f + 38156*f**2 wrt f.
1524*f**2
Let b = 54 - 51. Suppose 0*s + x = 4*s - b, -5*s = x - 6. What is the second derivative of s - 3*k**3 - 1 + 2*k + 2*k**3 wrt k?
-6*k
Let p(a) be the third derivative of -31/3*a**3 + 0*a**4 + 0*a + 1/35*a**7 - 4*a**2 - 1/120*a**6 + 0*a**5 + 0. What is the derivative of p(g) wrt g?
24*g**3 - 3*g**2
Let m(a) be the first derivative of -297/2*a**2 + 37/2*a**4 + 0*a + 1/3*a**3 - 245. Find the second derivative of m(q) wrt q.
444*q + 2
Find the third derivative of 976*f**3 - 5357*f**2 - 2*f**6 - 62*f**5 - 1850*f**3 + 876*f**3 wrt f.
-240*f**3 - 3720*f**2 + 12
Suppose 0 = -25*m + 22*m. Suppose 0*y - 3*y + 36 = m. What is the second derivative of 8*d - 2*d**2 + y*d - 2*d - d**2 wrt d?
-6
Let u(v) = 1905*v**2 + 4915*v + 110. Let z(h) = -h**2 - 4*h + 10. Let j(k) = -2*u(k) + 22*z(k). What is the second derivative of j(s) wrt s?
-7664
Let h be 1666/35 + (-28)/(-20) + -2. What is the first derivative of -50*l - h*l + 88*l + 4 wrt l?
-9
Let m(n) = 446*n**2 + 2514*n + 9. Let v(t) = t**2 - 4*t - 1. Let g(a) = -m(a) - 8*v(a). Find the second derivative of g(j) wrt j.
-908
Let i(k) = -4*k**4 - k**3 + k. Let l(r) = 11*r**4 - 516*r**3 - 3*r - 1244. Let c(n) = -3*i(n) - l(n). Find the first derivative of c(u) wrt u.
4*u**3 + 1557*u**2
Suppose l + 4*x - 2 = 0, 3*l - 6 = -0*l - 3*x. Let u(z) = z + 63. Let n be u(-11). Find the third derivative of -52 + 15*m**l + 14*m**4 + n wrt m.
336*m
Let y(x) be the first derivative of x**6/6 - 43*x**3 - 78*x**2 + x + 1535. What is the second derivative of y(v) wrt v?
20*v**3 - 258
Let h(p) be the first derivative of -14 + 0*p**3 + 1/2*p**6 + 0*p**5 + 0*p**4 + 0*p + 12*p**2. Find the second derivative of h(n) wrt n.
60*n**3
What is the derivative of -2*o - 219*o**4 - 2338*o**3 + 128*o**4 - 140*o**4 + 2340*o**3 - 8166 wrt o?
-924*o**3 + 6*o**2 - 2
Suppose 39*l = 47*l. Differentiate 16 - 41 - 26 + l*f - 5*f wrt f.
-5
Let l(k) be the third derivative of -277*k**8/84 - 3*k**5 + k**3/3 - 1971*k**2. What is the third derivative of l(c) wrt c?
-66480*c**2
Let i = 684 - 580. Let c be 1*-5*(-2 - -1). Find the second derivative of 1 - 1 + i*g - 21*g**c - 111*g wrt g.
-420*g**3
Suppose -19*v + 9*v + 40 = 0. What is the second derivative of 9*b**v - 110*b - 47*b**4 + 16*b - 56*b**4 wrt b?
-1128*b**2
Let z(k) = k**2 - 3. Let q(c) = 13*c**2 - 3*c - 7. Suppose -5*g = 5*x - 6*x + 19, -15 = 5*g. Let a(t) = x*z(t) - q(t). Find the second derivative of a(l) wrt l.
-18
Let s(v) = -4615*v + 3038. Let o(g) = -4630*g + 3044. Let r(x) = 4*o(x) - 5*s(x). What is the derivative of r(a) wrt a?
4555
Let z be 6/(-9) + (-16)/(-6). What is the third derivative of -z*m**2 - 4*m - 6*m**5 + 54*m**2 - 7*m**2 + m**4 wrt m?
-360*m**2 + 24*m
What is the third derivative of -239*c**2 + 2894986*c - 2894986*c + 1026*c**5 wrt c?
61560*c**2
Let u(c) be the first derivative of 0*c**4 - 127 + 0*c**5 + 19*c**2 + 175/6*c**6 + 0*c**3 + c. Find the second derivative of u(t) wrt t.
3500*t**3
Let p(c) be the second derivative of 52*c + 0*c**3 - 81*c**2 + 0*c**5 + 0*c**4 + 0 + 199/30*c**6. Differentiate p(r) wrt r.
796*r**3
Let g(i) = -9144*i + 7887. Let x(o) = 9156*o - 7883. Let l(d) = 5*g(d) + 6*x(d). Differentiate l(f) with respect to f.
9216
Let c(b) be the third derivative of 221*b**5/60 - b**4/12 + 303*b**3/2 - 2272*b**2. What is the first derivative of c(p) wrt p?
442*p - 2
Let a(k) be the first derivative of -8192*k**5/5 - k**2 - 1065*k - 11231. Find the second derivative of a(g) wrt g.
-98304*g**2
Let h(n) be the third derivative of -n**7/70 + 17*n**4/2 - 4658*n**3/3 - n**2 - 4710. What is the first derivative of h(c) wrt c?
-12*c**3 + 204
Find the third derivative of -23*k**6 - 2*k**6 + 2*k**6 - 13 - 14*k**5 + 32*k**5 + 19*k**2 - 10*k**6 wrt k.
-3960*k**3 + 1080*k**2
What is the second derivative of -363*b**2 + 145 - 407*b - 145 + 1072*b + 502*b wrt b?
-726
Let d(j) = 7*j**2 - 2*j - 1. Let r(p) = 982*p**2 + 713*p - 3. Let s(l) = 5*d(l) - r(l). What is the second derivative of s(n) wrt n?
-1894
Let q(z) = z**3 - 28*z**2 + z - 25. Let a be q(28). Find the third derivative of 2*u**3 + 43*u**2 + 8*u**a + 23*u**5 - 10*u**3 wrt u.
1380*u**2
Let w(k) be the second derivative of 21*k**5/20 + k**4/4 + 7*k**3/6 + 1776*k**2 - 12*k + 310. What is the derivative of w(g) wrt g?
63*g**2 + 6*g + 7
Suppose -2*o + 3 = -w, -2*w = -0*o - 2*o. Differentiate -4*k**3 + 5*k**4 + k**w + 128 + 6*k**3 wrt k.
20*k**3 + 9*k**2
Let w(q) be the first derivative of 2161*q**3/3 - 8*q**2 - 32*q - 3892. Find the second derivative of w(y) wrt y.
4322
Let y(z) be the third derivative of -344*z**5/15 + 541*z**3/2 + 2675*z**2. Differentiate y(q) with respect to q.
-2752*q
Suppose 13 = -s + 3*b + 2*b, -2 = 5*s - 4*b. Find the second derivative of 46*x**s - 8*x - 3*x - 24*x + 3*x wrt x.
92
Find the third derivative of -1415*i**3 + 1352*i**2 + 4453*i**2 - 672*i**3 - 908*i**2 wrt i.
-12522
Let m(n) = -n**3 + 20*n**2 - 21*n + 43. Let v be m(19). What is the third derivative of -7*t**3 + t**2 - 6*t**v + 5*t**3 + 2*t + 14*t**5 wrt t?
480*t**2 - 12
Let q(t) be the third derivative of -2308*t**7/105 + 2573*t**3/2 + 34*t**2 - 16*t. What is the derivative of q(m) wrt m?
-18464*m**3
Suppose 25*l - 126 = 24*l. Let b be ((-5)/(15/l))/(-2). Differentiate 5 - 9*u**2 + 0 + b*u**3 + 9*u**2 with respect to u.
63*u**2
What is the second derivative of -21*i**2 + 2469*i - 748*i + 7*i**4 - 842*i - 2 - 755*i wrt i?
84*i**2 - 42
Let h(g) be the third derivative of g**7/21 + 3*g**6/20 + 1057*g**3/3 + 2491*g**2. Differentiate h(w) wrt w.
40*w**3 + 54*w**2
Let k be (-11)/(-5) - (-3)/(-15). Suppose v - 41 = -k*v - g, 0 = 4*v + 4*g - 44. Differentiate 173*t - 173*t + 17 - v*t**2 with respect to t.
-30*t
Let q(a) be the third derivative of a**5/12 - a**4/6 - a**3/3 + 22*a**2. Let z be q(-3). What is the first derivative of 6 - 13*j - z - 5*j + 7*j wrt j?
-11
Let m(w) = 6*w**3 + 15*w**2 - 7*w + 3997. Let z(u) = 4*u**3 + u**2 - 2*u - 4. Let o(b) = m(b) - 3*z(b). Find the first derivative of o(v) wrt v.
-18*v**2 + 24*v - 1
Let z(q) = -4*q**3 + q**2 + q + 1. Let k(c) = 6984*c**4 + 16*c**3 - 346*c**2 - 3*c - 8. Let o(x) = k(x) + 4*z(x). Find the third derivative of o(r) wrt r.
167616*r
Let q(n) be the first derivative of -89/2*n**2 + 83 + 0*n**3 + 2/5*n**5 + 0*n - 45/4*n**4. Find the second derivative of q(a) wrt a.
24*a**2 - 270*a
Let n be (2/3)/(22/(-1353))*-1. What is the second derivative of -r**4 + r - 19*r**3 - 2 + n*r**3 - r**4