z**3 + 0*z**2 - 1/2*z**4 + 54*z. What is the first derivative of p(f) wrt f?
-6*f**2 + 14*f
Differentiate 67 + 536 - 113 - 55 + 365 + 589*r with respect to r.
589
Let n = -1039/12 - -365/4. Let x(r) be the first derivative of 0*r - 18 + 4*r**2 + n*r**3. Find the second derivative of x(a) wrt a.
28
Differentiate -1376*w**4 + 141*w**4 + 93*w**4 - 2918 with respect to w.
-4568*w**3
Find the second derivative of -3211*f - 151298*f**3 - 1015*f + 2995*f**5 + 151299*f**3 wrt f.
59900*f**3 + 6*f
Let v(h) = 8123*h**2 - 11807. Let o(u) = -2031*u**2 + 2951. Let n(w) = 23*o(w) + 6*v(w). Find the first derivative of n(a) wrt a.
4050*a
Find the third derivative of -584*v**4 + 208*v**4 + v - 163*v**2 - 355*v**4 - v wrt v.
-17544*v
Let r(v) = 26*v**4 - 5*v**3 + 6562*v - 21514. Let c(l) = 36*l**4 - 7*l**3 + 9843*l - 32270. Let g(t) = -5*c(t) + 7*r(t). What is the derivative of g(s) wrt s?
8*s**3 - 3281
Find the second derivative of 117 - 373 + n - 148*n**3 + 112 + 124 - 811*n**3 wrt n.
-5754*n
Let c(i) be the third derivative of -i**8/448 - 5*i**6/144 + i**5/4 + 61*i**2. Let z(y) be the third derivative of c(y). Differentiate z(b) with respect to b.
-90*b
Let q = -175 + 207. What is the third derivative of -45 - q*r**2 - 3*r**3 - 34*r**2 + 45 - 2*r**4 wrt r?
-48*r - 18
Let a(v) be the third derivative of -433*v**5/10 + 593*v**3/6 + 1462*v**2. Differentiate a(c) with respect to c.
-5196*c
Suppose -3*r + 5*g = -758, -2*r = 3*g - 160 - 358. Let y = 664 - r. What is the first derivative of 12 + 5 + y*a - 410*a wrt a?
-2
Let v = 59 + -54. Find the second derivative of 8405*g - g**v - 13*g**5 - 8432*g + 3*g**2 wrt g.
-280*g**3 + 6
Find the second derivative of 1888*j - 1271*j**3 + 1516*j + 731*j**3 - 3365*j**3 - 887*j wrt j.
-23430*j
Suppose -108*u + 103*u + 20 = 0. Suppose u*l + 12 = 332. What is the first derivative of l*a + 78*a - 164*a - 13 wrt a?
-6
Let m be ((-4)/1 - -3)*14/7. Let d be (-22)/(m*(0 - -1)). Differentiate 2*g - 5 + 10*g - 9 - d*g wrt g.
1
Let s(c) = 1073*c - 214. Let r(v) = -4*v + 3. Let n(g) = -14*r(g) + 2*s(g). What is the first derivative of n(x) wrt x?
2202
Suppose 4*v + 13 = 5*s + 2*v, -s + 2*v + 1 = 0. Suppose -s*m = -7*m + 40. Find the first derivative of 56*c - 12*c**2 + m - 56*c wrt c.
-24*c
Let z be (-44)/(-12) + 1/3 - 0. Find the first derivative of -2*h**2 + 22123*h**3 - 22123*h**3 + 33 - 4*h**z wrt h.
-16*h**3 - 4*h
Suppose 78 = 36*v - 30*v. Differentiate -3 + 23 + v - 8 + 5 - 54*h**2 wrt h.
-108*h
Differentiate 51619*k + 1917 - 43037*k + 7535 wrt k.
8582
Let i(c) = -34*c**3 - c**2 - c + 4. Let k(n) = n - 4. Let f be k(5). Let h(x) = -x**3 + x**2 + x + 1. Let s(t) = f*h(t) + i(t). Differentiate s(p) wrt p.
-105*p**2
Let u(q) be the first derivative of 50/3*q**3 - 76 + 0*q**2 + 0*q**4 + 0*q + 18/5*q**5. Find the third derivative of u(v) wrt v.
432*v
Let v(o) be the second derivative of 157*o**3 + 568*o**2 - 11*o + 24. Differentiate v(d) wrt d.
942
Let h(g) be the first derivative of 4600*g**3/3 + 55*g**2 - 3*g + 7792. Find the second derivative of h(a) wrt a.
9200
Let h be (-4 + 3)*(-1 - 2). Let j be 16 + -2 + (4 - h). What is the third derivative of 22*r**2 + 8*r**3 - j*r**2 - 12*r**2 wrt r?
48
Let f(w) be the first derivative of -3475*w**2/2 - 2969*w + 844. Differentiate f(c) wrt c.
-3475
Let k(d) = -d**2 - 1. Let r(h) be the second derivative of 7*h**4 + 13*h**3/6 + 23*h. Let v(f) = 2*k(f) + r(f). What is the second derivative of v(b) wrt b?
164
Find the second derivative of -221*a + 702*a - 1422*a**4 + 732*a**4 - 2706*a**4 wrt a.
-40752*a**2
Let m(g) be the third derivative of 213*g**7/35 - g**6/60 - 931*g**3/6 - 2139*g**2. What is the first derivative of m(j) wrt j?
5112*j**3 - 6*j**2
Let i(q) be the third derivative of -1267*q**4/4 - 6391*q**3/3 + 1657*q**2. Differentiate i(x) wrt x.
-7602
Let f(i) be the second derivative of -35*i + 87/20*i**5 - 29/6*i**4 + 2 + 1/6*i**3 + 0*i**2. What is the third derivative of f(v) wrt v?
522
Let q(k) = 350*k**3 - 48*k**2 - 8537*k + 6. Let x(o) = -3*o**3 - 9*o**2 + 1. Let v(z) = q(z) - 6*x(z). What is the second derivative of v(f) wrt f?
2208*f + 12
Let l(k) be the first derivative of 157 - k + 0*k**6 + 0*k**4 + 223/7*k**7 + k**3 + 0*k**2 + 0*k**5. Find the third derivative of l(o) wrt o.
26760*o**3
Let g be 5 + 6/12*-6*1. Suppose 0 = 4*i - g - 2. What is the second derivative of 1 - 2 - 22*y**3 - 9*y + i wrt y?
-132*y
What is the second derivative of 236777 - 118391 - 2275*k**2 - 118388 - 494*k - k**3 - k**3 wrt k?
-12*k - 4550
Let f(k) = -472*k**2 - 96. Let n be (-3)/(-2)*(1 + 8 + -1). Let p(x) = 1179*x**2 + 240. Let t(m) = n*f(m) + 5*p(m). Differentiate t(u) with respect to u.
462*u
Let k(x) be the second derivative of -17*x**6/30 - x**5/10 - 5*x**4/3 - 2656*x**2 + 58*x + 10. What is the derivative of k(j) wrt j?
-68*j**3 - 6*j**2 - 40*j
Find the third derivative of 42*s**2 + 16*s**2 - 11*s**2 + 75*s**2 - 209*s**5 - 21*s**5 + s**4 wrt s.
-13800*s**2 + 24*s
Suppose -4*q - 5*y = -941, 1 + 3 = 4*y. Let p = -145 + q. Differentiate -p*l**2 + 167*l**2 + 23 - 49*l**2 wrt l.
58*l
Let m(n) = 1920*n**2 + 1073*n + 4. Let j(b) = -2878*b**2 - 1611*b - 6. Let w(h) = -5*j(h) - 8*m(h). Find the second derivative of w(f) wrt f.
-1940
Let k(r) be the second derivative of -7*r**6/15 - 23*r**5/20 + 8239*r**4/12 - 12106*r. What is the third derivative of k(x) wrt x?
-336*x - 138
Let l(o) = 6*o**2 + 34*o + 49. Let x be l(-3). Suppose 5*h - 2*u = 10, 2*u = -2*h + 4*u - 2. Differentiate -13*i**3 + 13*i**h + 13*i**3 + x - 25 wrt i.
52*i**3
Suppose -6084 + 652 = 7*d. Let l = d - -1435. Differentiate -329*i**4 - 327*i**4 - 7 + l*i**4 wrt i.
12*i**3
Let f = 7 + -16. Let z be (-3)/f*(4 + 53) + -3. Find the second derivative of z*h - 14*h**2 + 4*h + 0 + 0 wrt h.
-28
Let o(n) = 230*n**3 + 23*n**2 - 38*n - 3. Let r(v) = 230*v**3 + 23*v**2 - 42*v - 4. Let j(a) = -4*o(a) + 3*r(a). Find the third derivative of j(b) wrt b.
-1380
Let y(w) = -w**3 + 11*w**2 - 9*w + 37. Let d be y(9). Differentiate -m**4 + 32 + 5*m**4 - d - 73*m**4 with respect to m.
-276*m**3
Let a(t) be the second derivative of -400*t**7/21 + 571*t**4/6 + 2*t + 403. Find the third derivative of a(o) wrt o.
-48000*o**2
Let f(p) = -12*p + 32. Let c be f(-5). Let y be 20/3 - 19/(-57). Differentiate 0 + c*n**4 - 94*n**4 + y with respect to n.
-8*n**3
Let h(j) be the first derivative of -7751*j**4/4 - j**2 - 1347*j - 10629. Differentiate h(q) wrt q.
-23253*q**2 - 2
Let c(k) be the third derivative of -99*k**5/20 + 197*k**4/12 + 474*k**2. What is the second derivative of c(g) wrt g?
-594
Let n = 13 - 8. Suppose 2*u = -4*w - 26 + 28, -2*w - 4 = 0. What is the second derivative of u*z**5 + 4*z - 6*z - z**n - z wrt z?
80*z**3
Let r be ((-21)/(-9) + -2)*0. What is the first derivative of 1 + r - 4 + 5*x**2 - 23*x**2 wrt x?
-36*x
What is the first derivative of -4*g**2 - 1141 + 26*g**2 - 4257*g + 8539*g - 4279*g wrt g?
44*g + 3
Let q be 4/(-10) + 372/30. Suppose 38 = 5*s - q. What is the second derivative of n**2 + s*n + 5*n - 8*n**2 wrt n?
-14
Let h(n) be the third derivative of 757*n**9/504 + 973*n**5/60 - 23*n**2 - 14*n. What is the third derivative of h(i) wrt i?
90840*i**3
Suppose -475 - 35 = -17*p. Find the third derivative of 23*f**3 + 29*f**5 + p*f**3 + 2*f**2 + 25*f - 53*f**3 wrt f.
1740*f**2
Let h(v) = 2*v - 21. Let t be h(8). Let a(k) = -8*k**2 + 6*k - 187. Let r(m) = 7*m**2 - 7*m + 188. Let x(f) = t*a(f) - 6*r(f). Differentiate x(q) wrt q.
-4*q + 12
Let i(p) = -p**3 + 3*p - 10. Let s be i(-3). Find the first derivative of 207*q + 198*q - 475*q + s wrt q.
-70
Suppose 0 = -v + 4*v + y - 25, v + 5*y = 27. Suppose 4*a - 58 = g, -2*a = -v*a - 5*g + 60. Differentiate 47 - 9 + 45*l**4 - a with respect to l.
180*l**3
Let i be (-2)/(-11) + 248/88. Find the third derivative of 2 + 116*t**6 + 4053*t**i + 3*t**2 - 4053*t**3 wrt t.
13920*t**3
Let m(f) be the first derivative of -177*f**4/2 + f**3/3 + 7*f**2/2 + f - 1294. What is the second derivative of m(r) wrt r?
-2124*r + 2
Let u(w) be the first derivative of -37*w**6/120 - 21*w**3 + w**2 + w - 102. Let p(h) be the second derivative of u(h). Find the first derivative of p(i) wrt i.
-111*i**2
What is the second derivative of -w**3 + 1018*w - 645*w**4 - 4 + 4 + 693*w**4 wrt w?
576*w**2 - 6*w
What is the second deriv